In this task you will be given a text passage from a trivia quiz. You should choose the category this question belongs to from these categories: History, Science, Social Science, Fine Arts, Literature. You can only choose one category, so if in doubt, please choose the closest match.

Input: Consider Input: Loewner's inequality relates the area and systole of Riemannian metrics on one of these spaces. Arnold's cat map is a chaotic mapping from one of these spaces to itself. This name is given to connected, compact, abelian Lie subgroups, and any compact Lie group has a maximal one. Dupin cyclides are geometric inversions of these objects, and two Villarceau circles can be created by cutting one of these objects diagonally. N-dimensional versions of these objects, which have genus one, are homeomorphic to the Cartesian product of N circles. Other than the Klein bottle, these are the only closed, compact surfaces with an Euler characteristic of zero. They can be created by revolving a circle around an axis coplanar to the circle's diameter. For 10 points, name these mathematical objects that often look like doughnuts.

Output: Science


Input: Consider Input: In June 2013, scientists found PAHs in this body's atmosphere. The Ligeia and Kraken Mares are found on this body, which undergoes a sort of "anti- greenhouse effect" due to the large concentration of organic molecules. This object, which is in resonance with Hyperion, has an orange smog caused by the breakup of methane in its atmosphere. Methane is also present in this moon's lakes. The Huygens portion of the Cassini-Huygens mission explored this moon. For 10 points, name this moon, the second largest in the solar system and the largest moon of Saturn.

Output: Science


Input: Consider Input: This state was initially formed from an alliance between three cities, and was granted permission to settle there by Cocoxtil. The Confederacy of Tlaxcala was an enemy of this empire, which reached its height during the reign of Ahuitzotl. Luis de Medina was initially sent to lead an expedition to conquer this empire, which initially repelled Spanish troops during La Noche Triste. Unable to defeat the Spanish-Tlaxcala alliance, it fell shortly after the death of Montezuma II. For 10 points, name this empire of central Mexico with capital Tenochtitlan which was conquered by Hernando Cortes.


Output: History