EmperorSidious2
Master of Magic
I take it this is ROTJ Sidious
A little something on his precog/farsight
Sidious senses that Darth Vader is in danger:
The image tilted its head, its smile twisting without transition to a scowl. "Lord Vader—I sense a disturbance in the Force. You may be in danger."
He glanced at the mirror flash outside; he knew that ship. In danger of being kissed to death, perhaps...
"How should I be in danger, Master?"
"I cannot say. But the danger is real; be mindful."
Be mindful, be mindful, he thought with a mental sneer. Is that the best you can do? I could get that much from Obi-Wan... "I will, my Master. Thank you." The image faded. He got to his feet, and now the sneer was on his lips and in his eyes. "You're the one who should be mindful, my 'Master.' I am a disturbance in the Force."
Source: Revenge of the Sith
Clone troops were already swarming into it. "It was Yoda," he said as he swung out of the pod. "Another assassination attempt. Find him and kill him. If you have to, blow up the building." He didn't have time to direct the search personally. The Force hummed a warning in his bones: Lord Vader was in danger. Mortal danger.
Source: Revenge of the Sith
Sidious nodded and reached out with the dark side, trying to sense where his enemy was hiding. As he did, the feeling of risk grew stronger, and he understood. Not a threat to him, but to his apprentice. He must see to this personally. "Double your search," he told the clone commander, though he doubted they would find anything. He turned to Mas Amedda. "Tell Captain Kagi to prepare my shuttle for immediate takeoff. I sense Lord Vader is in danger."
Source: Revenge of the Sith Junior Novelization
He senses Yoda weakening:
The end came with astonishing suddenness. The shadow could feel how much it cost the little green freak to bend back his lightnings into the cage of energy that enclosed them both; the creature had reached the limits of his strength.
Source: Revenge of the Sith
Palpatine is aware of a small Rebel force landing on Endor:
Vader rose, as the throne swiveled around, and the Emperor faced him. They made eye contact from light-years and a soul’s breath away. Across that abyss, Vader responded. “My master, a small Rebel force has penetrated the shield and landed on Endor.”
“Yes, I know.” There was no hint of surprise in his tone; rather, fulfillment.
Source: Return of the Jedi
Sidious knows that Luke will attempt to redeem Darth Vader:
Young Luke had tasted the power of the Dark Side through his anger and his fear. Doubt clouded his mind, and he was unsure he could survive another confrontation with his father. Yet he was also sure that there was still good in his father; he was willing to risk everything to attempt to bring it out.
Source: Galaxy Guide 5: Return of the Jedi (Credit to Silver2467)
These are just canon sources. Enter Star Wars versus forum Quan and it will be a much bigger list