The following dispatch is based on information arriving from Poland:

Key Polish factories remained closed yesterday or were working at far below normal production on the first working day after the Christmas holidays. Reports also surfaced in Warsaw of industrial sabotage.

At Solidarity's birthplace, the Lenin Shipyard in Gdansk, authorities told workers to remain at home until Jan. 4, countermanding an earlier order that they report yesterday. The decision appeared to reflect official concern that occupation strikes could have broken out again at the facility had the workers gone back.

Radio Warsaw said yesterday, "In view of the restricted supplies of power and materials and the snow, only half the work force is to be employed in the Gdansk repair yard today, but over 60 percent of the staff turned up for work."

The Lenin shipyard has been closed for more than two weeks--longer than the shutdown during the August 1980 strike when it was the headquarters of an integrated strike committee. The Szczecin shipyard also remained closed while authorities continued a process of "verification" of the work force, pouring over records to decide which employes are reliable.

At the port of Szczecin, a returning traveler said, facilities are open but the workers are merely "recycling" cargo--loading and unloading the same cargo repeatedly. About 200 former employes there have been fired as undesirables, the traveler said.

In Warsaw, Western observers saw smoke belching from only one of several stacks at the giant Huta Warszawa steel complex.

Sources said that at the FSO automobile plant, workers were engaging in a form of industrial sabotage--turning out parts that would not fit together.

Similar reports reached Warsaw from other parts of the country.

At the Katowice steel mill in the south, the furnaces reportedly remained closed after workers shut them several days ago just before security forces broke up a strike.

Remnants of the banned independent trade union Solidarity have called for a campaign of subverting normal industrial production to demonstrate resistance to martial law.

The authorities have made it clear that they hope to get the Polish economy moving again as quickly as possible for political and economic reasons. One of their hopes is that increased production will help offset anger aroused by the crackdown on personal liberties and trade union activies.

More than two weeks after imposition of martial law, Poles still cannot use telephones, travel freely or congregate, except for religious services.

The authorities' plan to gain some popularity with the promise of greater prosperity was dealt a setback by Sunday's announcement of shortened meat rations. The last time the government cut the meat ration was last summer, and it resulted in huge protest marches in several cities. Such protests are unlikely this time since under martial law, such activity can bring severe punishment.

"I didn't have enough meat to feed my family before," commented one Pole. "I don't know what I'm going to do now."

The authorities have also moved quickly to bring violators of martial-law regulations to trial. Dozens have already been sentenced throughout Poland, with most strike organizers receiving terms of three years in prison.

In a Warsaw courtroom yesterday, three alleged strike leaders from the FSO car factory were led into court in handcuffs. Wives and other relatives, who were prevented from speaking to the accused, wept openly.

The trial lasted all day and featured interrogation of the accused workers by a civilian judge.

Evidence for the prosecution was given by the manager of the plant and the Communist Party secretary from the factory.

The workers argued that they had not instigated the strike.

"There were no ringleaders," their defense attorney said. "They were just a lot of nervous workers. If one of them is sent to jail, they all should be." They are to be sentenced today.

The building where the men were tried is the same one in which Solidarity was legally registered as a trade union in the fall of 1980. Then the courthouse and the street outside were a scene of jubilation as Solidarity leader Lech Walesa, who is now under house arrest, was acclaimed as a conquering hero by thousands of workers.