[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: other
Target surface form: other
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding <t>other</t> factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=other%3:00:00:: | definition=not the same one or ones already mentioned or implied; - the White Queen | examples=today isn't any other day; the construction of highways and other public works
2. sense_key=other%5:00:00:past:00 | definition=recently past | examples=the other evening
3. sense_key=other%5:00:02:past:00 | definition=belonging to the distant past | synonyms=early, former | examples=the early inhabitants of Europe; former generations
4. sense_key=other%5:00:00:strange:00 | definition=very unusual; different in character or quality from the normal or expected; - Lance Morrow | examples=a strange, other dimension...where his powers seemed to fail

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The target word "other" in the context "holding **other** factors constant" is used to refer to additional factors that are not the primary focus of the discussion but are being held steady to isolate the effect of the variable being examined. This aligns with the sense of "other" meaning "not the same one or ones already mentioned or implied," which is used to distinguish these additional, unspecified factors from the ones already discussed. Therefore, the best indexed sense is:

```json
{"sense_index": 1}
```


attempt_kind: initial

status: success

[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: factor
Target surface form: factors
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other <t>factors</t> constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=factor%1:11:00:: | definition=anything that contributes causally to a result | examples=a number of factors determined the outcome
2. sense_key=factor%1:09:00:: | definition=an abstract part of something | synonyms=component, constituent, element, ingredient | examples=jealousy was a component of his character; two constituents of a musical composition are melody and harmony
3. sense_key=factor%1:23:00:: | definition=one of two or more integers that can be exactly divided into another integer | synonyms=divisor | examples=what are the 4 factors of 6?
4. sense_key=factor%1:18:00:: | definition=a businessman who buys or sells for another in exchange for a commission | synonyms=agent, broker
5. sense_key=factor%1:23:01:: | definition=any of the numbers (or symbols) that form a product when multiplied together
6. sense_key=factor%1:09:01:: | definition=an independent variable in statistics
7. sense_key=factor%1:08:00:: | definition=(genetics) a segment of DNA that is involved in producing a polypeptide chain; it can include regions preceding and following the coding DNA as well as introns between the exons; it is considered a unit of heredity | synonyms=gene, cistron | examples=genes were formerly called factors

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context discusses "other factors" that are held constant in an analysis of voting behavior and tax burdens. The phrase "holding other factors constant" clearly indicates that "factors" here refers to variables or elements that could influence the outcome but are being controlled for in the study. This aligns with the sense of "factor" as an independent variable in statistics, which is used to describe variables that might affect a dependent variable but are kept constant in an analysis.

Therefore, the best indexed sense is:

```json
{"sense_index": 6}
```

finish_reason: stop

role: assistant

currency: USD

source: unavailable


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: constant
Target surface form: constant
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors <t>constant</t>, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=constant%5:00:00:invariable:00 | definition=unvarying in nature | synonyms=changeless, invariant, unvarying | examples=maintained a constant temperature; principles of unvarying validity
2. sense_key=constant%3:00:00:: | definition=steadfast in purpose or devotion or affection | examples=a man constant in adherence to his ideals; a constant lover
3. sense_key=constant%5:00:00:continuous:01 | definition=uninterrupted in time and indefinitely long continuing | synonyms=ceaseless, incessant, never-ending, perpetual, unceasing, unremitting | examples=the ceaseless thunder of surf; in constant pain

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context uses "holding other factors **constant**," which implies keeping those factors unchanged or unvarying while examining the relationship between other variables. This aligns with the sense of "constant" meaning "unvarying in nature" or "invariable." Therefore, the best indexed sense is:

```json
{"sense_index": 1}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: difference
Target surface form: difference
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the <t>difference</t> between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=difference%1:07:00:: | definition=the quality of being unlike or dissimilar | examples=there are many differences between jazz and rock
2. sense_key=difference%1:11:00:: | definition=a variation that deviates from the standard or norm | synonyms=deviation, divergence, departure | examples=the deviation from the mean
3. sense_key=difference%1:10:00:: | definition=a disagreement or argument about something important | synonyms=dispute, difference of opinion, conflict | examples=he had a dispute with his wife; there were irreconcilable differences
4. sense_key=difference%1:24:00:: | definition=a significant change | examples=the difference in her is amazing; his support made a real difference
5. sense_key=difference%1:23:00:: | definition=the number that remains after subtraction; the number that when added to the subtrahend gives the minuend | synonyms=remainder

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context discusses measurable variations between voting outcomes and tax rates, emphasizing quantitative differences rather than arguments or simple dissimilarities. The phrase "the <t>difference</t> between a state's major-party vote... and the Republican share of the lower state house" clearly refers to a measurable statistical variation, aligning with the definition of a variation that deviates from a standard or norm. This matches sense_key=difference%1:11:00::, which defines "difference" as a variation that deviates from the standard or norm, with synonyms like deviation and divergence, and examples involving deviations from a mean.

Therefore, the best indexed sense is:

```json
{"sense_index": 2}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: state
Target surface form: state
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a <t>state</t>'s major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=state%1:15:01:: | definition=the territory occupied by one of the constituent administrative districts of a nation | synonyms=province | examples=his state is in the deep south
2. sense_key=state%1:03:00:: | definition=the way something is with respect to its main attributes | examples=the current state of knowledge; his state of health
3. sense_key=state%1:14:01:: | definition=the group of people comprising the government of a sovereign state | examples=the state has lowered its income tax
4. sense_key=state%1:14:00:: | definition=a politically organized body of people under a single government | synonyms=nation, country, land, commonwealth, res publica, body politic | examples=the state has elected a new president; African nations
5. sense_key=state%1:26:02:: | definition=(chemistry) the three traditional states of matter are solids (fixed shape and volume) and liquids (fixed volume and shaped by the container) and gases (filling the container) | synonyms=state of matter | examples=the solid state of water is called ice
6. sense_key=state%1:26:01:: | definition=a state of depression or agitation | examples=he was in such a state you just couldn't reason with him
7. sense_key=state%1:15:00:: | definition=the territory occupied by a nation | synonyms=country, land | examples=he returned to the land of his birth; he visited several European countries
8. sense_key=state%1:14:02:: | definition=the federal department in the United States that sets and maintains foreign policies | synonyms=Department of State, United States Department of State, State Department, DoS | examples=the Department of State was created in 1789

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context discusses "states" in the political sense, referring to individual U.S. states and their governments, such as "state tax rate," "Republican gubernatorial candidate," and "Republican share of the lower state house." This aligns with the definition of a "politically organized body of people under a single government" within a nation, which corresponds to sense_key=state%1:14:01::.

Therefore, the best indexed sense is:

```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: major
Target surface form: major
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's <t>major</t> - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=major%3:00:06:: | definition=of greater importance or stature or rank | examples=a major artist; a major role
2. sense_key=major%3:00:02:: | definition=greater in scope or effect | examples=a major contribution; a major improvement
3. sense_key=major%3:00:01:: | definition=greater in number or size or amount | examples=a major portion (a majority) of the population; Ursa Major
4. sense_key=major%3:00:05:: | definition=of the field of academic study in which one concentrates or specializes | examples=his major field was mathematics
5. sense_key=major%3:00:04:: | definition=of a scale or mode | examples=major scales; the key of D major
6. sense_key=major%3:00:07:: | definition=of greater seriousness or danger | examples=a major earthquake; a major hurricane
7. sense_key=major%3:00:03:: | definition=of full legal age
8. sense_key=major%5:00:00:senior:00 | definition=of the elder of two boys with the same family name | examples=Jones major

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context refers to "the <t>major</t> - party vote" in relation to political parties and voting behavior. In political discourse, "major party" denotes the leading or dominant political party in a system, typically the one with the greatest number of elected officials or the largest share of votes. This aligns with the sense of "greater in number or size or amount." Therefore, the best sense is:

```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: party
Target surface form: party
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - <t>party</t> vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=party%1:14:01:: | definition=an organization to gain political power | synonyms=political party | examples=in 1992 Perot tried to organize a third party at the national level
2. sense_key=party%1:14:00:: | definition=a group of people gathered together for pleasure | examples=she joined the party after dinner
3. sense_key=party%1:14:02:: | definition=a band of people associated temporarily in some activity | synonyms=company | examples=they organized a party to search for food; the company of cooks walked into the kitchen
4. sense_key=party%1:11:00:: | definition=an occasion on which people can assemble for social interaction and entertainment | examples=he planned a party to celebrate Bastille Day
5. sense_key=party%1:18:00:: | definition=a person involved in legal proceedings | examples=the party of the first part

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context discusses changes in "control of that body changed party hands," "Democrats exercise... majority party status," and "major-party vote." These phrases clearly refer to political entities and their influence, aligning with the definition of a **political party**. The other senses (social gathering, temporary group, general occasion, or legal proceedings) do not fit the political context provided.

Therefore, the best indexed sense is the one defined as "an organization to gain political power," which corresponds to sense index 3.

```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: vote
Target surface form: vote
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party <t>vote</t> going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=vote%1:04:00:: | definition=a choice that is made by counting the number of people in favor of each alternative | synonyms=ballot, voting, balloting | examples=there were only 17 votes in favor of the motion; they allowed just one vote per person
2. sense_key=vote%1:04:01:: | definition=the opinion of a group as determined by voting | examples=they put the question to a vote
3. sense_key=vote%1:07:00:: | definition=a legal right guaranteed by the 15th amendment to the US Constitution; guaranteed to women by the 19th amendment | synonyms=right to vote, suffrage | examples=American women got the vote in 1920
4. sense_key=vote%1:14:00:: | definition=a body of voters who have the same interests | examples=he failed to get the Black vote
5. sense_key=vote%1:09:00:: | definition=the total number of voters who participated | synonyms=voter turnout | examples=they are expecting a large vote

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context discusses the "difference between a state's major-party <t>vote</t> going to the Republican gubernatorial candidate and the Republican share of the lower state house," and how this difference is related to state tax rates. This usage refers to the **outcome of an election** for a particular party and candidate, i.e., the result of voting for that party in a specific race.

Given the options:
1. **vote as a choice made by counting** (sense 1) fits the idea of individual voting actions but does not capture the party-level outcome discussed.
2. **vote as the opinion of a group** (sense 2) is too general and does not specifically address party-level voting shares.
3. **vote as a body of voters with shared interests** (sense 4) aligns with the discussion of "major-party vote," indicating the collective voting behavior of a party's supporters.
4. **vote as a legal right** (sense 3) and **vote as voter turnout** (sense 5) are irrelevant to the context.

Thus, the best sense is **sense 4: a body of voters who have the same interests**.

```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: go
Target surface form: going
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote <t>going</t> to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=go%2:38:00:: | definition=change location; move, travel, or proceed, also metaphorically | synonyms=travel, move, locomote | examples=How fast does your new car go?; We travelled from Rome to Naples by bus
2. sense_key=go%2:41:00:: | definition=follow a procedure or take a course | synonyms=proceed, move | examples=We should go farther in this matter; She went through a lot of trouble
3. sense_key=go%2:38:01:: | definition=move away from a place into another direction | synonyms=go away, depart | examples=Go away before I start to cry; The train departs at noon
4. sense_key=go%2:30:04:: | definition=enter or assume a certain state or condition | synonyms=become, get | examples=He became annoyed when he heard the bad news; It must be getting more serious
5. sense_key=go%2:42:06:: | definition=be awarded; be allotted | examples=The first prize goes to Mary; Her money went on clothes
6. sense_key=go%2:42:02:: | definition=have a particular form | synonyms=run | examples=the story or argument runs as follows; as the saying goes...
7. sense_key=go%2:42:00:: | definition=stretch out over a distance, space, time, or scope; run or extend between two points or beyond a certain point | synonyms=run, pass, lead, extend | examples=Service runs all the way to Cranbury; His knowledge doesn't go very far
8. sense_key=go%2:30:01:: | definition=follow a certain course | synonyms=proceed | examples=The inauguration went well; how did your interview go?
9. sense_key=go%2:30:08:: | definition=be abolished or discarded | examples=These ugly billboards have to go!; These luxuries all had to go under the Khmer Rouge
10. sense_key=go%2:42:07:: | definition=be or continue to be in a certain condition | examples=The children went hungry that day
11. sense_key=go%2:39:00:: | definition=make a certain noise or sound | synonyms=sound | examples=She went `Mmmmm'; The gun went `bang'
12. sense_key=go%2:35:00:: | definition=perform as expected when applied | synonyms=function, work, operate, run | examples=The washing machine won't go unless it's plugged in; Does this old car still run well?
13. sense_key=go%2:34:00:: | definition=to be spent or finished | synonyms=run low, run short | examples=The money had gone after a few days; Gas is running low at the gas stations in the Midwest
14. sense_key=go%2:30:02:: | definition=progress by being changed | synonyms=move, run | examples=The speech has to go through several more drafts; run through your presentation before the meeting
15. sense_key=go%2:42:14:: | definition=continue to live through hardship or adversity | synonyms=survive, last, live, live on, endure, hold up | examples=We went without water and food for 3 days; These superstitions survive in the backwaters of America
16. sense_key=go%2:42:03:: | definition=pass, fare, or elapse; of a certain state of affairs or action | examples=How is it going?; The day went well until I got your call
17. sense_key=go%2:30:00:: | definition=pass from physical life and lose all bodily attributes and functions necessary to sustain life | synonyms=die, decease, perish, exit, pass away, expire | examples=She died from cancer; The children perished in the fire
18. sense_key=go%2:42:04:: | definition=be in the right place or situation | synonyms=belong | examples=Where do these books belong?; Let's put health care where it belongs--under the control of the government
19. sense_key=go%2:42:10:: | definition=be ranked or compare | examples=This violinist is as good as Juilliard-trained violinists go
20. sense_key=go%2:38:09:: | definition=begin or set in motion | synonyms=start, get going | examples=I start at eight in the morning; Ready, set, go!
21. sense_key=go%2:33:00:: | definition=have a turn; make one's move in a game | synonyms=move | examples=Can I go now?
22. sense_key=go%2:42:13:: | definition=be contained in | examples=How many times does 18 go into 54?
23. sense_key=go%2:42:12:: | definition=be sounded, played, or expressed | examples=How does this song go again?
24. sense_key=go%2:42:11:: | definition=blend or harmonize | synonyms=blend, blend in | examples=This flavor will blend with those in your dish; This sofa won't go with the chairs
25. sense_key=go%2:42:08:: | definition=lead, extend, or afford access | synonyms=lead | examples=This door goes to the basement; The road runs South
26. sense_key=go%2:42:05:: | definition=be the right size or shape; fit correctly or as desired | synonyms=fit | examples=This piece won't fit into the puzzle
27. sense_key=go%2:35:13:: | definition=go through in search of something; search through someone's belongings in an unauthorized way | synonyms=rifle | examples=Who rifled through my desk drawers?
28. sense_key=go%2:34:09:: | definition=be spent | examples=All my money went for food and rent
29. sense_key=go%2:31:12:: | definition=give support (to) or make a choice (of) one out of a group or number | synonyms=plump | examples=I plumped for the losing candidates
30. sense_key=go%2:30:03:: | definition=stop operating or functioning | synonyms=fail, go bad, give way, die, give out, conk out | examples=The engine finally went; The car died on the road

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The sentence contains the phrase "the difference between a state's major‑party vote **going** to the Republican gubernatorial candidate and the Republican share of the lower state house." Here, "going" is used to describe the direction or allocation of votes—i.e., which candidate the major‑party vote is directed toward. This aligns with the sense of "go" meaning **to be directed or allocated to a particular destination or recipient**.

Among the candidate senses, the one that best captures this meaning is:

- **sense_key=go%2:42:08::** – definition: *lead, extend, or afford access*; synonyms: *lead*; example: *This door goes to the basement; The road runs South*.

This sense indicates that something (the major‑party vote) is moving or being directed toward a specific entity (the Republican gubernatorial candidate), matching the context precisely.

Therefore, the best indexed sense is sense index 8.

**Answer:** {"sense_index": 8}


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: republican
Target surface form: Republican
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the <t>Republican</t> gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=republican%3:01:01:: | definition=relating to or belonging to the Republican Party | examples=a Republican senator; Republican party politics
2. sense_key=republican%5:00:00:democratic:00 | definition=having the supreme power lying in the body of citizens entitled to vote for officers and representatives responsible to them or characteristic of such government; - United States Constitution; ; - Philip Marsh; -Nathaniel Hawthorne | examples=the United States shall guarantee to every state in this union a republican form of government; a very republican notion

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context discusses political parties and voting behavior, specifically mentioning "Republican presidential and senatorial candidates" and "Republican gubernatorial candidate." This clearly refers to the political affiliation with the Republican Party. Therefore, the most appropriate sense is the one relating to the Republican Party.

The best indexed sense is:

**sense_key=republican%3:01:01:: | definition=relating to or belonging to the Republican Party | examples=a Republican senator; Republican party politics**

Thus, the correct sense index is 1.

```json
{"sense_index": 1}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: candidate
Target surface form: candidate
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial <t>candidate</t> and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=candidate%1:18:01:: | definition=a politician who is running for public office | synonyms=campaigner, nominee
2. sense_key=candidate%1:18:00:: | definition=someone who is considered for something (for an office or prize or honor etc.) | synonyms=prospect

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context refers to "Republican presidential and senatorial candidates," which clearly indicates individuals who are running for public office. This aligns with the definition of a politician running for public office, matching the first sense.

Therefore, the best indexed sense is:

```json
{"sense_index": 1}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: republican
Target surface form: Republican
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the <t>Republican</t> share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=republican%3:01:01:: | definition=relating to or belonging to the Republican Party | examples=a Republican senator; Republican party politics
2. sense_key=republican%5:00:00:democratic:00 | definition=having the supreme power lying in the body of citizens entitled to vote for officers and representatives responsible to them or characteristic of such government; - United States Constitution; ; - Philip Marsh; -Nathaniel Hawthorne | examples=the United States shall guarantee to every state in this union a republican form of government; a very republican notion

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context discusses political parties and voting behavior, specifically mentioning "Republican presidential and senatorial candidates" and "the <t>Republican</t> share of the lower state house." This clearly refers to the political party known as the Republican Party. Therefore, the most appropriate sense is the one relating to or belonging to the Republican Party.

The best indexed sense is:

```json
{"sense_index": 1}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: share
Target surface form: share
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican <t>share</t> of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=share%1:21:00:: | definition=assets belonging to or due to or contributed by an individual person or group | synonyms=portion, part, percentage | examples=he wanted his share in cash
2. sense_key=share%1:21:01:: | definition=any of the equal portions into which the capital stock of a corporation is divided and ownership of which is evidenced by a stock certificate | examples=he bought 100 shares of IBM at the market price
3. sense_key=share%1:04:00:: | definition=the allotment of some amount by dividing something | synonyms=parcel, portion | examples=death gets more than its share of attention from theologians
4. sense_key=share%1:04:01:: | definition=the part played by a person in bringing about a result | synonyms=contribution, part | examples=I am proud of my contribution in advancing the project; they all did their share of the work
5. sense_key=share%1:06:00:: | definition=a sharp steel wedge that cuts loose the top layer of soil | synonyms=plowshare, ploughshare

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context discusses a "positive function of the state tax rate" on the "Republican <t>share</t> of the lower state house." This implies a proportion or percentage of votes or representation attributed to the Republican party within the lower house of the state legislature. The term "share" here is used to denote a portion or part of the legislative body's composition, aligning with the sense of dividing something into equal parts or portions.

Given the options:
1. **Assets belonging to or due to an individual or group** – not fitting, as the context is about political representation, not assets.
2. **Stock shares of a corporation** – irrelevant, as the context is about political representation, not corporate ownership.
3. **The allotment of some amount by dividing something (portion, part, percentage)** – fits perfectly, as it describes a portion or percentage of the lower house's composition.
4. **The part played by a person in bringing about a result (contribution, part)** – less precise, as it emphasizes individual effort rather than a proportional representation.
5. **A sharp steel wedge (plowshare)** – clearly unrelated.

Thus, the best sense is the one describing a portion or percentage of something divided, which corresponds to sense index 3.

```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: house
Target surface form: house
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state <t>house</t> is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=house%1:06:00:: | definition=a dwelling that serves as living quarters for one or more families | examples=he has a house on Cape Cod; she felt she had to get out of the house
2. sense_key=house%1:14:01:: | definition=the members of a business organization that owns or operates one or more establishments | synonyms=firm, business firm | examples=he worked for a brokerage house
3. sense_key=house%1:14:04:: | definition=the members of a religious community living together
4. sense_key=house%1:14:03:: | definition=the audience gathered together in a theatre or cinema | examples=the house applauded; he counted the house
5. sense_key=house%1:14:02:: | definition=an official assembly having legislative powers | examples=a bicameral legislature has two houses
6. sense_key=house%1:14:00:: | definition=aristocratic family line | examples=the House of York
7. sense_key=house%1:04:00:: | definition=play in which children take the roles of father or mother or children and pretend to interact like adults | examples=the children were playing house
8. sense_key=house%1:15:00:: | definition=(astrology) one of 12 equal areas into which the zodiac is divided | synonyms=sign of the zodiac, star sign, sign, mansion, planetary house
9. sense_key=house%1:14:06:: | definition=the management of a gambling house or casino | examples=the house gets a percentage of every bet
10. sense_key=house%1:14:05:: | definition=a social unit living together | synonyms=family, household, home, menage | examples=he moved his family to Virginia; It was a good Christian household
11. sense_key=house%1:06:02:: | definition=a building where theatrical performances or motion-picture shows can be presented | synonyms=theater, theatre | examples=the house was full
12. sense_key=house%1:06:01:: | definition=a building in which something is sheltered or located | examples=they had a large carriage house

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context refers to "the Republican share of the lower state <t>house</t>", which clearly indicates a legislative body within a state government. Among the candidate senses, the one that matches this meaning is:

- **sense_key=house%1:14:02::**: definition=the official assembly having legislative powers; examples=a bicameral legislature has two houses.

Therefore, the best indexed sense is sense index 3.

```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: positive
Target surface form: positive
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a <t>positive</t> function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=positive%3:00:01:: | definition=characterized by or displaying affirmation or acceptance or certainty etc. | examples=a positive attitude; the reviews were all positive
2. sense_key=positive%5:00:00:certain:02 | definition=persuaded of; very sure | synonyms=convinced, confident | examples=were convinced that it would be to their advantage to join; I am positive he is lying
3. sense_key=positive%5:00:00:advantageous:00 | definition=involving advantage or good | synonyms=plus | examples=a plus (or positive) factor
4. sense_key=positive%3:00:04:: | definition=indicating existence or presence of a suspected condition or pathogen | synonyms=confirming | examples=a positive pregnancy test
5. sense_key=positive%5:00:00:formal:01 | definition=formally laid down or imposed | synonyms=prescribed | examples=positive laws
6. sense_key=positive%5:00:00:undeniable:00 | definition=impossible to deny or disprove | synonyms=incontrovertible, irrefutable | examples=incontrovertible proof of the defendant's innocence; proof positive
7. sense_key=positive%3:01:00:: | definition=of or relating to positivism | synonyms=positivist, positivistic | examples=positivist thinkers; positivist doctrine
8. sense_key=positive%3:00:05:: | definition=reckoned, situated or tending in the direction which naturally or arbitrarily is taken to indicate increase or progress or onward motion | examples=positive increase in graduating students
9. sense_key=positive%5:00:00:plus:00 | definition=greater than zero | examples=positive numbers
10. sense_key=positive%5:00:00:charged:00 | definition=having a positive charge | synonyms=electropositive, positively charged | examples=protons are positive
11. sense_key=positive%5:00:00:confident:00 | definition=marked by excessive confidence | synonyms=cocksure, overconfident | examples=an arrogant and cocksure materialist; so overconfident and impudent as to speak to the queen

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The sentence discusses a "positive function of the state tax rate," indicating that as the tax rate increases, the difference in voting behavior changes in a favorable (advantageous) direction for Republican candidates. This aligns with the sense of "positive" meaning "involving advantage or good," which is captured by sense_key=positive%5:00:00:advantageous:00. Therefore, the best indexed sense is:

```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: function
Target surface form: function
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive <t>function</t> of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=function%1:24:00:: | definition=(mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function) | synonyms=mathematical function, single-valued function, map, mapping
2. sense_key=function%1:07:00:: | definition=what something is used for | synonyms=purpose, role, use | examples=the function of an auger is to bore holes; ballet is beautiful but what use is it?
3. sense_key=function%1:04:00:: | definition=the actions and activities assigned to or required or expected of a person or group | synonyms=office, part, role | examples=the function of a teacher; the government must do its part
4. sense_key=function%1:24:01:: | definition=a relation such that one thing is dependent on another | examples=height is a function of age; price is a function of supply and demand
5. sense_key=function%1:14:00:: | definition=a formal or official social gathering or ceremony | examples=it was a black-tie function
6. sense_key=function%1:11:00:: | definition=a vaguely specified social event | synonyms=affair, occasion, social occasion, social function | examples=the party was quite an affair; an occasion arranged to honor the president
7. sense_key=function%1:10:00:: | definition=a set sequence of steps, part of larger computer program | synonyms=routine, subroutine, subprogram, procedure

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context describes a relationship where one variable (state tax rate) influences another (difference in party vote shares), expressed as "a positive <t>function</t> of the state tax rate." This aligns with the sense of a function as a relation where one thing depends on another, rather than its mathematical, purposeful, or ceremonial meanings. Therefore, the best sense is:

```json
{"sense_index": 4}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: state
Target surface form: state
Context:
An examination of changes in personal staffing decisions in the Senate between 1986 and 1987 -LRB- when control of that body changed party hands -RRB-, moreover, reveals that the personal staffing differences noted in the table can not be attributed to the disproportionate control Democrats exercise, due to their majority - party status, over other resources such as committee staff. An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the <t>state</t> tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation.

Candidate senses:
1. sense_key=state%1:15:01:: | definition=the territory occupied by one of the constituent administrative districts of a nation | synonyms=province | examples=his state is in the deep south
2. sense_key=state%1:03:00:: | definition=the way something is with respect to its main attributes | examples=the current state of knowledge; his state of health
3. sense_key=state%1:14:01:: | definition=the group of people comprising the government of a sovereign state | examples=the state has lowered its income tax
4. sense_key=state%1:14:00:: | definition=a politically organized body of people under a single government | synonyms=nation, country, land, commonwealth, res publica, body politic | examples=the state has elected a new president; African nations
5. sense_key=state%1:26:02:: | definition=(chemistry) the three traditional states of matter are solids (fixed shape and volume) and liquids (fixed volume and shaped by the container) and gases (filling the container) | synonyms=state of matter | examples=the solid state of water is called ice
6. sense_key=state%1:26:01:: | definition=a state of depression or agitation | examples=he was in such a state you just couldn't reason with him
7. sense_key=state%1:15:00:: | definition=the territory occupied by a nation | synonyms=country, land | examples=he returned to the land of his birth; he visited several European countries
8. sense_key=state%1:14:02:: | definition=the federal department in the United States that sets and maintains foreign policies | synonyms=Department of State, United States Department of State, State Department, DoS | examples=the Department of State was created in 1789

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context discusses "states" in the political sense, referring to individual U.S. states and their tax rates affecting voting behavior. The relevant sense is the one describing a politically organized body of people under a single government, specifically a state as a constituent administrative district of a nation (e.g., a U.S. state). This aligns with sense_key=state%1:14:01::, which defines the state as "the group of people comprising the government of a sovereign state" and includes synonyms like "nation" and "country," fitting the political context of the passage.

Therefore, the best indexed sense is:

```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: federal
Target surface form: federal
Context:
An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the <t>federal</t> and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation. Mr. Zupan teaches at the University of Southern California's business school.

Candidate senses:
1. sense_key=federal%5:00:00:national:01 | definition=national; especially in reference to the government of the United States as distinct from that of its member units | examples=the Federal Bureau of Investigation; federal courts
2. sense_key=federal%3:01:02:: | definition=of or relating to the central government of a federation | examples=a federal district is one set aside as the seat of the national government
3. sense_key=federal%5:00:00:northern:02 | definition=being of or having to do with the northern United States and those loyal to the Union during the American Civil War | synonyms=Union | examples=Union soldiers; Federal forces
4. sense_key=federal%3:00:00:: | definition=characterized by or constituting a form of government in which power is divided between one central and several regional authorities | examples=a federal system like that of the United States; federal governments often evolved out of confederations

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The sentence discusses both "federal" and "state government" levels, referring to the national (U.S.) government versus state governments. The phrase "at both the <t>federal</t> and state government levels" clearly indicates the context is about the national government as distinct from state governments. This aligns with the definition of "federal" as "national; especially in reference to the government of the United States as distinct from that of its member units." Therefore, the best sense is the first one.

The appropriate JSON response is:

```json
{"sense_index": 1}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: level
Target surface form: levels
Context:
An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government <t>levels</t> at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation. Mr. Zupan teaches at the University of Southern California's business school.

Candidate senses:
1. sense_key=level%1:07:00:: | definition=a position on a scale of intensity or amount or quality | synonyms=degree, grade | examples=a moderate grade of intelligence; a high level of care is required
2. sense_key=level%1:26:01:: | definition=a relative position or degree of value in a graded group | synonyms=grade, tier | examples=lumber of the highest grade
3. sense_key=level%1:26:00:: | definition=a specific identifiable position in a continuum or series or especially in a process | synonyms=degree, stage, point | examples=a remarkable degree of frankness; at what stage are the social sciences?
4. sense_key=level%1:07:01:: | definition=height above ground | examples=the water reached ankle level; the pictures were at the same level
5. sense_key=level%1:06:00:: | definition=indicator that establishes the horizontal when a bubble is centered in a tube of liquid | synonyms=spirit level
6. sense_key=level%1:06:03:: | definition=a flat surface at right angles to a plumb line | synonyms=horizontal surface | examples=park the car on the level
7. sense_key=level%1:09:00:: | definition=an abstract place usually conceived as having depth | synonyms=layer, stratum | examples=a good actor communicates on several levels; a simile has at least two layers of meaning
8. sense_key=level%1:06:01:: | definition=a structure consisting of a room or set of rooms at a single position along a vertical scale | synonyms=floor, storey, story | examples=what level is the office on?

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context discusses "both the federal and state government **levels**" in relation to voter behavior and political outcomes. Here, "levels" refers to the distinct governmental levels (federal and state) within a political hierarchy, indicating a specific identifiable position in a continuum of governmental structures. This aligns with the sense of "a specific identifiable position in a continuum or series, especially in a process," which matches sense_key=level%1:26:00::.

Therefore, the best indexed sense is:

```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: part
Target surface form: part
Context:
An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least <t>part</t> of the seemingly irrational behavior voters display in the voting booth may have an exceedingly rational explanation. Mr. Zupan teaches at the University of Southern California's business school.

Candidate senses:
1. sense_key=part%1:24:00:: | definition=something determined in relation to something that includes it | synonyms=portion, component part, component, constituent | examples=he wanted to feel a part of something bigger than himself; I read a portion of the manuscript
2. sense_key=part%1:06:00:: | definition=something less than the whole of a human artifact | synonyms=portion | examples=the rear part of the house; glue the two parts together
3. sense_key=part%1:17:00:: | definition=a portion of a natural object | synonyms=piece | examples=they analyzed the river into three parts; he needed a piece of granite
4. sense_key=part%1:09:02:: | definition=that which concerns a person with regard to a particular role or situation | examples=it requires vigilance on our part; they resisted every effort on his part
5. sense_key=part%1:15:00:: | definition=the extended spatial location of something | synonyms=region | examples=the farming regions of France; religions in all parts of the world
6. sense_key=part%1:04:01:: | definition=the actions and activities assigned to or required or expected of a person or group | synonyms=function, office, role | examples=the function of a teacher; the government must do its part
7. sense_key=part%1:09:01:: | definition=an actor's portrayal of someone in a play | synonyms=character, role, theatrical role, persona | examples=she played the part of Desdemona
8. sense_key=part%1:21:00:: | definition=assets belonging to or due to or contributed by an individual person or group | synonyms=share, portion, percentage | examples=he wanted his share in cash
9. sense_key=part%1:09:00:: | definition=one of the portions into which something is regarded as divided and which together constitute a whole | synonyms=section, division | examples=the written part of the exam; the finance section of the company
10. sense_key=part%1:08:01:: | definition=a line of scalp that can be seen when sections of hair are combed in opposite directions | synonyms=parting | examples=his part was right in the middle
11. sense_key=part%1:10:00:: | definition=the melody carried by a particular voice or instrument in polyphonic music | synonyms=voice | examples=he tried to sing the tenor part
12. sense_key=part%1:04:03:: | definition=the part played by a person in bringing about a result | synonyms=contribution, share | examples=I am proud of my contribution in advancing the project; they all did their share of the work

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The sentence discusses how "part" of voters' seemingly irrational behavior can be explained rationally. The context implies that "part" refers to a portion or segment of a larger phenomenon (voter behavior) that is being considered separately. This aligns with the sense of "part" meaning "one of the portions into which something is regarded as divided and which together constitute a whole," which is sense_key=part%1:09:00::.

Therefore, the best indexed sense is:

```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: irrational
Target surface form: irrational
Context:
An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly <t>irrational</t> behavior voters display in the voting booth may have an exceedingly rational explanation. Mr. Zupan teaches at the University of Southern California's business school.

Candidate senses:
1. sense_key=irrational%3:00:00:: | definition=not consistent with or using reason | examples=irrational fears; irrational animals
2. sense_key=irrational%3:01:00:: | definition=real but not expressible as the quotient of two integers | examples=irrational numbers

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context discusses voter behavior and suggests that what appears to be "irrational" voting may actually have a rational explanation related to tax rates. This usage aligns with the definition of "irrational" as "not consistent with or using reason." The mathematical sense of "irrational" (not expressible as a quotient of two integers) is unrelated to the discussion of voting behavior. Therefore, the best sense is the one describing lack of reason.

The appropriate sense index is 1.

```json
{"sense_index": 1}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: behavior
Target surface form: behavior
Context:
An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational <t>behavior</t> voters display in the voting booth may have an exceedingly rational explanation. Mr. Zupan teaches at the University of Southern California's business school.

Candidate senses:
1. sense_key=behavior%1:04:00:: | definition=manner of acting or controlling yourself | synonyms=behaviour, conduct, doings
2. sense_key=behavior%1:26:00:: | definition=the action or reaction of something (as a machine or substance) under specified circumstances | synonyms=behaviour | examples=the behavior of small particles can be studied in experiments
3. sense_key=behavior%1:07:00:: | definition=(behavioral attributes) the way a person behaves toward other people | synonyms=demeanor, demeanour, behaviour, conduct, deportment
4. sense_key=behavior%1:04:01:: | definition=(psychology) the aggregate of the responses or reactions or movements made by an organism in any situation | synonyms=behaviour

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context discusses "voters display in the voting booth," referring to the actions and attitudes of people when they vote. This aligns with the sense of "behavior" as the way a person behaves toward other people or in a given situation, which is captured by sense_key=behavior%1:07:00::. Therefore, the best indexed sense is:

```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: display
Target surface form: display
Context:
An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters <t>display</t> in the voting booth may have an exceedingly rational explanation. Mr. Zupan teaches at the University of Southern California's business school.

Candidate senses:
1. sense_key=display%2:39:00:: | definition=to show, make visible or apparent | synonyms=expose, exhibit | examples=The Metropolitan Museum is exhibiting Goya's works this month; Why don't you show your nice legs and wear shorter skirts?
2. sense_key=display%2:41:00:: | definition=attract attention by displaying some body part or posing; of animals

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context describes "voters <t>display</t> in the voting booth," suggesting that the behavior of voters is being shown or made visible in a way that can be observed or understood. This aligns with the sense of "to show, make visible or apparent." The second sense, related to animals attracting attention by displaying body parts, does not fit the context. Therefore, the best indexed sense is the first one.

{"sense_index": 1}


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: rational
Target surface form: rational
Context:
An additional piece of evidence from the Senate: Holding other factors constant, such as incumbency advantages and regional factors, the difference between popular votes for Republican presidential and senatorial candidates in states conducting a Senate election turns out to be a positive function of how onerous the federal government's tax burden is per state -LRB- a progressive tax rate hits higher - income states harder -RRB-. Put more simply, GOP candidates for president are looked on more kindly by voters than Republican candidates for the Senate when the prisoner's sentence is more severe. Moreover, ticket splitting appears to take the same peculiar pattern at the state government level as it does at the federal level. State government is more typically split along Republican-governor / Democratic-legislature lines than the reverse. A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate. In sum, at both the federal and state government levels at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly <t>rational</t> explanation. Mr. Zupan teaches at the University of Southern California's business school.

Candidate senses:
1. sense_key=rational%3:00:00:: | definition=consistent with or based on or using reason | examples=rational behavior; a process of rational inference
2. sense_key=rational%5:00:00:mental:00 | definition=of or associated with or requiring the use of the mind | synonyms=intellectual, noetic | examples=intellectual problems; the triumph of the rational over the animal side of man
3. sense_key=rational%3:01:00:: | definition=capable of being expressed as a quotient of integers | examples=rational numbers
4. sense_key=rational%5:00:00:intellectual:00 | definition=having its source in or being guided by the intellect (as distinguished from experience or emotion) | examples=a rational analysis

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context describes that "at least part of the seemingly irrational behavior voters display in the voting booth may have an exceedingly <t>rational</t> explanation." Here, "rational" is used to contrast with "irrational," indicating a logical or reasoned explanation rather than a mathematical or numerical property. The relevant sense is the one that means "consistent with or based on or using reason." This aligns with sense_key=rational%3:00:00::.

Therefore, the best indexed sense is:

```json
{"sense_index": 1}
```