hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Legendre symbol
In number theory, the Legendre symbol is a function of  and  defined as

where  is an odd prime number and  is a positive integer that may or may not be a quadratic residue mod p.  The Legendre symbol is a multiplicative function

The Legendre symbol was introduced by Adrien-Marie Legendre in 1797 or 1798 in the course of his attempts at proving the law of quadratic reciprocity. Generalizations of the symbol include the Jacobi symbol and Dirichlet characters of higher order. The notational convenience of the Legendre symbol inspired introduction of several other "symbols" used in algebraic number theory, such as the Hilbert symbol and the Artin symbol.

Quadratic residue
In number theory, an integer q is a quadratic residue modulo n if it is congruent to a perfect square modulo n; that is, if there exists an integer x such that

Otherwise, q is a  quadratic nonresidue modulo n.

Quadratic residues are used in applications ranging from acoustical engineering to cryptography and the factoring of large numbers.
Melo Imai
Melo Imai (今井 メロ, 今井 夢露, Imai Mero, born 26 October 1987 in Suminoe-ku, Osaka) is a Japanese TV personality and half-pipe snowboarder. Her maiden name is Narita (成田).

Imai's father is snowboarding coach Takashi Narita, and she has two brothers: former snowboarder Dome Narita and trampoliner Grim Narita.

She gave up snowboarding after the 2006 Winter Olympics and became a television presenter, then a nude model appearing in several gravure DVDs. In 2017 she had a short career as pornographic film actress and in 2018 announced a return to snowboarding. The same year she won the All Japan Snowboarding Championships.

Dome Narita
Dome Narita (成田 童夢, Narita Dōmu, born 22 September 1985 in Suminoe-ku, Osaka) is a Japanese former snowboarder and subculture tarento. He competed in the half-pipe snowboarding event at the 2006 Winter Olympics. His main activities and interests are anime, manga, video games, idol MC, and wotagei. He is also an onstage actor and has appeared in short films, which makes him a multi-tarento.

Narita's father is a snowboarding coach called Takashi Narita, his sister is also a former snowboarder, called Melo Imai, and his younger brother, Grim Narita, is a freestyle skier, snowboarder, and wakeboarder, among other sports, who plans to compete in the 2018 PyeongChang Winter Paralympics for snowboarding.
Jadugopal Mukherjee
Jadu Gopal Mukherjee  (18 September 1886 – 30 August 1976) was a Bengali Indian revolutionary who, as the successor of  Jatindranath Mukherjee or Bagha Jatin, led the Jugantar members to recognise and accept Gandhi's movement as the culmination of their own aspiration.

Bagha Jatin
Bagha Jatin (lit. 'Tiger Jatin'; pronounced [ˈbaɡʰa ˈd͡ʒot̪in]) or Baghajatin, born Jatindranath Mukherjee (pronounced [ˈd͡ʒot̪ind̪roˌnatʰ ˈmukʰoˌpaddʰae̯]); 7 December 1879 – 10 September 1915) was an Indian independence activist.

He was one of the principal leaders of the Jugantar party that was the central association of revolutionary independence activists in Bengal.
Spreckels Sugar Company
The Spreckels Sugar Company is an American sugar beet refiner that for many years was the largest beet sugar producer in the western United States. The company was incorporated in 1896 and originally headquartered in San Francisco, with its largest operation being its beet sugar refinery in the company town of Spreckels, near Salinas, California. It has operated seven more factory locations during its years of operations.

As of 2025, the company is still in business as a sugar wholesaler to the food and beverage industry and is a wholly owned division of the Southern Minnesota Beet Sugar Cooperative (SMBSC). It has one remaining factory, located in the Imperial Valley town of Brawley, California, where the company is also headquartered. In 2025, SMBSC announced that they would be closing the Brawley factory during the following year and shutting down  its Spreckels Sugar division.

Spreckels, California
Spreckels is an unincorporated community and census-designated place (CDP) in the Salinas Valley of Monterey County, California, United States. Spreckels is located 3 miles (5 km) south of Salinas, at an elevation of 62 ft (19 m). Its population was 692 at the 2020 census.

Spreckels is one of the best-preserved company towns in the United States. It was built to house workers for the Spreckels Sugar Company plant, which operated there from 1899 until 1982, named after its founder "Sugar King" Claus Spreckels.  When it opened, the Spreckels plant was the world's largest sugar beet factory, each day consuming 13,000,000 US gal (49,000,000 L) of water—with much of it pumped from wells—to process 3,000 short tons (2,700 t) of beets.

Spreckels is associated with the writer John Steinbeck, who lived and worked there for a time, and used it as a setting in his novel Tortilla Flat. Spreckels was used as a location for the 1955 Steinbeck movie East of Eden.
Timeline of investigations into Donald Trump and Russia (January–June 2018)
This is a timeline of major events in first half of 2018 related to the investigations into links between associates of Donald Trump and Russian officials that are suspected of being inappropriate, relating to Russian interference in the 2016 United States elections. It follows the timeline of Russian interference in the 2016 United States elections before and after July 2016 up until election day November 8, the transition, and the first and second halves of 2017, but precedes the second half of 2018, the first and second halves of 2019, 2020, and 2021. These events are related to, but distinct from, Russian interference in the 2018 United States elections.

Timeline of investigations into Donald Trump and Russia (July–December 2017)
This is a timeline of major events in the second half of 2017 related to the investigations into links between Trump associates and Russian officials relating to the Russian interference in the 2016 United States elections. It follows the timeline of Russian interference in the 2016 United States elections before and after July 2016 up until election day November 8, the post-election transition, and the first half of 2017. The investigations continued in the first and second halves of 2018, the first and second halves of 2019, 2020, and 2021.
Cambridge University Lightweight Rowing Club
Cambridge University Lightweight Rowing Club (CULRC) was the University rowing club for lightweight male oarsmen at the University of Cambridge, principally to race against Oxford University Lightweight Rowing Club (OULRC) annually in the Lightweight Men's Boat Race.

In April 2020 it was agreed that CULRC would combine with the openweight men's club CUBC and the women's club CUWBC into one club.  The merger took place on 1 August 2020. CUBC now selects a lightweight men's Blue Boat from the men's squad to represent Cambridge at the Lightweight Boat Races.

Cambridge University Women's Boat Club
Cambridge University Women's Boat Club (CUWBC) was the rowing club for women at the University of Cambridge. CUWBC fielded both a lightweight eight that races against Oxford at the Henley Boat Races, and two openweight eights that race at the Women's Boat Race.  In April 2020 it was agreed that the club would be combined with the men's club CUBC and the lightweight men's club CULRC.
Operation Black Arrow
Operation Black Arrow  (Hebrew: מבצע חץ שחור, romanized: Mivtza Ḥetz Shaḥor) was an Israeli military operation carried out in Gaza (while under Egyptian control) on 28 February 1955. The operation targeted the Egyptian Army. Thirty-eight Egyptian soldiers were killed during the operation as were eight Israelis.

Israel's actions were unanimously condemned by United Nations Security Council Resolution 106.

United Nations Security Council Resolution 106
United Nations Security Council Resolution 106 was adopted unanimously on March 29, 1955, after hearing reports from the Chief of Staff of the United Nations Truce Supervision Organization in Palestine and representatives of Egypt and Israel.  The Council noted that the Egyptian-Israel Mixed Armistice Commission determined that a "prearranged and planned attack ordered by Israel authorities" was committed by regular Israeli forces against elements of the Egyptian Army in the Gaza Strip on February 28, 1955.  The Council condemned this attack as a violation of United Nations Security Council Resolution 54, called upon Israel to take all necessary measures to prevent such action, expressed its conviction that the maintenance of the General Armistice Agreement was threatened by deliberate violations and that no progress towards the return of permanent peace in Palestine would be made unless the parties complied strictly with their obligations.
Salvadoran Laborist Party
The Salvadoran Laborist Party (Partido Laborista Salvadoreña) was a Salvadoran political party that existed until 1931.

The party was founded by Arturo Araujo. The party joined a coalition with Maximiliano Hernández Martínez's National Republican Party during the 1931 presidential election. The coalition failed to win a majority but Araujo was elected president by the Legislative Assembly.

The party dissolved following the 1931 Salvadoran coup d'état when all political parties were banned.

National Republican Party (El Salvador)
The National Republican Party (Partido Republicano Nacional) was a Salvadoran political party that existed from 1930 to 1931.

The party supported General Maximiliano Hernández Martínez during the 1931 presidential election. The party joined a coalition with Arturo Araujo's Labor Party during the 1931 general election. The coalition failed to win a majority but Araujo was elected president by the Legislative Assembly and Maximiliano Hernández Martínez became vice president.

The party was dissolved following the 1931 Salvadoran coup d'état but was later turned into the National Pro Patria Party.
Aksyon (TV program)
Aksyon (transl. Action) is a Philippine television news broadcasting show that aired on TV5. Originally anchored by Paolo Bediones, Erwin Tulfo and Cheryl Cosim, it premiered on April 5, 2010, on the network's evening line up replacing TEN: The Evening News. The show concluded on March 16, 2020. Luchi Cruz-Valdes and Ed Lingao served as the final anchors. It was replaced by Frontline Pilipinas in its timeslot.

Frontline Pilipinas
Frontline Pilipinas (lit. 'Frontline Philippines') is a Philippine television news broadcasting show broadcast by TV5, with simulcast on RPTV since 2024. Originally anchored by Raffy Tulfo and Cheryl Cosim, it premiered on October 5, 2020, replacing Aksyon. Cosim and Julius Babao currently serve as the anchors.
Pierpont prime
In number theory, a Pierpont prime is a prime number of the form

for some nonnegative integers u and v.  That is, they are the prime numbers p for which p − 1 is 3-smooth. They are named after the mathematician James Pierpont, who used them to characterize the regular polygons that can be constructed using conic sections. The same characterization applies to polygons that can be constructed using ruler, compass, and angle trisector, or using paper folding.

Except for 2 and the Fermat primes, every Pierpont prime must be 1 modulo 6. The first few Pierpont primes are:

It has been conjectured that there are infinitely many Pierpont primes, but this remains unproven.

Fermat number
In mathematics, a Fermat number, named after Pierre de Fermat (1601–1665), the first known to have studied them, is a positive integer of the form:  where n is a non-negative integer. The first few Fermat numbers are: 3, 5, 17, 257, 65537, 4294967297, 18446744073709551617, 340282366920938463463374607431768211457, ... (sequence A000215 in the OEIS).

If 2k + 1 is prime and k > 0, then k itself must be a power of 2, so 2k + 1 is a Fermat number; such primes are called Fermat primes. As of January 2025, the only known Fermat primes are F0 = 3, F1 = 5, F2 = 17, F3 = 257, and F4 = 65537 (sequence A019434 in the OEIS).
Superbird-A
Superbird-A, also identified as Superbird-1 before launch, was a geostationary communications satellite designed and manufactured by Ford Aerospace) on the SSL 1300 satellite bus. It was originally ordered by Space Communications Corporation (SCC), which later merged into the SKY Perfect JSAT Group. It had a mixed Ku-band, Ka-band and X-band payload and operated on the 158° East longitude.

It was ordered in 1985 along Superbird-B, Superbird-A1 and Superbird-B1 on the first order of the SSL 1300 platform. It was also the first satellite of SCC and the second commercial satellite of Japan after JCSAT-1. It was used for video distribution, news gathering, remote publishing and high definition TV service to the main islands of Japan and Okinawa.

Superbird-B
Superbird-2, also identified as Superbird-B after launch if successful, was a geostationary communications satellite designed and manufactured by Ford Aerospace on the SSL 1300 satellite bus. It was originally ordered by Space Communications Corporation (SCC), which later merged into the SKY Perfect JSAT Group. It had a mixed Ku-band, Ka-band and X-band payload and was lost at launch.

It was ordered in 1985 along Superbird-A, Superbird-A1 and Superbird-B1 on the very first order of the SSL 1300 platform. It was to be the second satellite of SCC. It was supposed to be used for video distribution, news gathering, remote publishing and high definition TV service to the main islands of Japan and Okinawa from the 162° East position.
Rajyapala Kamboja
Rajyapala or Kamboja-Vamsa-Tilaka was the founder of the Kamboja Pala dynasty of Bengal. This dynasty had ruled over northern and western Bengal. Four rulers of this dynasty are known who ruled, either over north-west Bengal or parts thereof, from second half of tenth century to the first quarter of the 11th century. The last known king of Kamboja Pala dynasty was Dharmapala, who was the ruler in Dandabhukti division, during the first quarter of the 11th century.

Kamboja Pala dynasty
The Kamboja-Pala dynasty ruled parts of Bengal in the 10th to 11th centuries CE, after invading the Palas during the reign of Gopala III. The last Kamboja ruler of the Kamboja-Pala Dynasty Dharmapala was defeated by the south Indian Emperor Rajendra Chola I of the Chola dynasty in the 11th century.
State visit by Elizabeth II to Spain
Queen Elizabeth II of the United Kingdom of Great Britain and Northern Ireland made a state visit to the Kingdom of Spain from 17 to 21 October 1988. It was the first official visit by a British monarch to Spain, and came two years after King Juan Carlos I made the first official visit by a Spanish monarch in 80 years to the United Kingdom. It was the Queen's only official visit to Spain; relations between the two kingdoms had been troubled by the status of Gibraltar.

Arriving in Madrid, the Queen visited the city and the nearby royal residence of El Escorial, as well as Seville and Barcelona. At the end of formal events, the two monarchs and their consorts sailed to Mallorca to spend three days on the island.

Paul Delaney of The New York Times wrote that "The visit has captured the attention of this nation, whose relations with Britain have been marred by hostility and distrust since the British defeat of the Spanish Armada 400 years ago".

State visit by Juan Carlos I to the United Kingdom
From 22 to 25 April 1986, King Juan Carlos I of Spain made a state visit to the United Kingdom, where he was received by Queen Elizabeth II. It was the first official state visit by Spain to the United Kingdom since 1905, and came during a thaw in relations between the two countries over the issue of Gibraltar.
Yucca Flat
Yucca Flat is a closed desert drainage basin, one of four major nuclear test regions within the Nevada Test Site (NTS), and is divided into nine test sections: Areas 1 through 4 and 6 through 10. Yucca Flat is located at the eastern edge of NTS, about ten miles (16 km) north of Frenchman Flat, and 65 miles (105 km) from Las Vegas, Nevada. Yucca Flat was the site for 739 nuclear tests – nearly four of every five tests carried out at the NTS.

Yucca Flat has been called "the most irradiated, nuclear-blasted spot on the face of the earth". In March 2009, TIME identified the 1970 Yucca Flat Baneberry Test, where 86 workers were exposed to radiation, as one of the world's worst nuclear disasters.

Frenchman Flat
Frenchman Flat is a hydrographic basin in the Nevada National Security Site south of Yucca Flat and north of Mercury, Nevada.  The flat was used as an American nuclear test site and has a 5.8 sq mi (15 km2) dry lake bed (Frenchman Lake) that was used as a 1950s airstrip before it was chosen after the start of the Korean War for the Nevada Proving Grounds. Nellis Air Force Base land 12 mi × 30 mi (19 km × 48 km) was transferred to the Atomic Energy Commission on which Site Mercury was constructed on the flat for supporting American nuclear explosive tests.  The 1951 Operation Ranger "Able" test (ground zero at UTM Coordinates 923758 on the flat) was the first continental US nuclear detonation after the 1945 Trinity test, and Frenchman Flat also had the only detonation of an American artillery-fired nuclear projectile in the 1953 Upshot-Knothole Grable test using the M65 Atomic Cannon.
Heteromyidae
Heteromyidae is a family of rodents consisting of kangaroo rats, kangaroo mice, pocket mice and spiny pocket mice. Most heteromyids live in complex burrows within the deserts and grasslands of western North America, though species within the genus Heteromys are also found in forests and their range extends as far south as northern South America. They feed mostly on seeds and other plant parts, which they carry in their fur-lined cheek pouches to their burrows.

Although they are very different in physical appearance, the closest relatives of the heteromyids are pocket gophers in the family Geomyidae.

Kangaroo rat
Kangaroo rats, small mostly nocturnal rodents of genus Dipodomys, are native to arid areas of western North America. The common name derives from their bipedal form. They hop in a manner similar to the much larger kangaroo, but developed this mode of locomotion independently, like several other clades of rodents (e.g., dipodids and hopping mice).
Ace Tone
Ace Electronic Industries Inc., or Ace Tone, was a manufacturer of electronic musical instruments, including electronic organs, analogue drum machines, and electronic drums, as well as amplifiers and effects pedals. Founded in 1960 by Ikutaro Kakehashi with an investment by Sakata Shokai, Ace Tone can be considered an early incarnation of the Roland Corporation, which was also founded by Kakehashi. Ace Tone began manufacturing amplifiers in 1963.

Roland Corporation
Roland Corporation (ローランド株式会社, Rōrando Kabushiki Kaisha) is a Japanese multinational manufacturer of electronic musical instruments, electronic equipment, and software. It was founded by Ikutaro Kakehashi in Osaka in 1972. In 2005, its headquarters relocated to Hamamatsu in Shizuoka Prefecture. It has factories in Malaysia, Taiwan, Japan, and the United States. As of December 2022, it employed 2,783 people. In 2014, it was subject to a management buyout by its CEO, Junichi Miki, supported by Taiyo Pacific Partners.

Roland has manufactured numerous instruments that have had lasting impacts on music, such as the Juno-106 synthesizer, TB-303 bass synthesizer, and TR-808 and TR-909 drum machines. It was also instrumental in the development of MIDI, a standardized means of synchronizing electronic instruments manufactured by different companies. In 2016, Fact wrote that Roland had arguably had more influence on electronic music than any other company.
Kingdom of Calontir
The Kingdom of Calontir is one of twenty "kingdoms", or regions, of the Society for Creative Anachronism (SCA), an international organization dedicated to researching and recreating aspects of the Middle Ages.

Calontir is located in the Midwestern United States and includes about 40 local SCA groups in Kansas, Nebraska, Missouri, Iowa, and (the Fayetteville area of) Arkansas. Calontir is bordered on the east by the Middle Kingdom, on the south by the kingdoms of Gleann Abhann and Ansteorra, on the west by the Kingdom of the Outlands, and on the north by the Kingdom of Northshield.

Society for Creative Anachronism
The Society for Creative Anachronism (SCA) is an international living history group with the aim of studying and recreating mainly Medieval European cultures and their histories before the 17th century. A quip often used within the SCA describes it as a group devoted to the Middle Ages "as they ought to have been", choosing to "selectively recreate the culture, choosing elements of the culture that interest and attract us". Founded in 1966, the non-profit educational corporation has over 20,000 paid members as of 2020 with about 60,000 total participants in the society, including members and non-member participants.
Anheuser-Busch
Anheuser-Busch Companies, LLC (/ˈænhaɪzər ˈbʊʃ/ AN-hy-zər BUUSH) is an American brewing company headquartered in St. Louis, Missouri. Since 2008, following the hostile takeover by AB Inbev of Belgium, it has been wholly owned by Anheuser-Busch InBev SA/NV (AB InBev), now the world's largest brewing company, which owns multiple global brands, notably Budweiser, Michelob, Stella Artois, and Beck's.

The company employs over 19,000 people, operates 12 breweries and nine aluminum can plants in the United States, and until December 2009, was one of the largest theme park operators in the United States, with ten theme parks through the company's family entertainment division Busch Entertainment Corporation.38°35′57″N 90°12′52″W﻿ / ﻿38.59917°N 90.21444°W﻿ / 38.59917; -90.21444

AB InBev
Anheuser-Busch InBev SA/NV, known as AB InBev, is an American-Belgian multinational drink and brewing company based in Leuven, Belgium. It is the largest brewer in the world,  and in 2023, was ranked 72nd in the Forbes Global 2000.

AB InBev was formed in 2008, with Belgian-Brazilian brewing company InBev's acquisition of the American company Anheuser-Busch. Anheuser-Busch InBev SA/NV is a publicly listed company, with its primary listing on the Euronext Brussels. It has secondary listings on Mexico City Stock Exchange, Johannesburg Stock Exchange, and New York Stock Exchange. AB InBev has offices in New York City, alongside regional headquarters in São Paulo, London, St. Louis, Mexico City, Bremen, Johannesburg, and others. It has approximately 630 beer brands in 150 countries.
New England Australian Football League
The New England Australian Football League was an Australian rules football league based around the University of New England in Armidale, Australia.  It was created by UNE students in 1962 and ran until 1984, when its remaining clubs moved to the North West AFL.

One former NEAFL club, the New England Nomads, still plays today in the Tamworth AFL.  The Coffs Harbour Swans also played in the NEAFL before creating their own local competition, the North Coast AFL.

North West Australian Football League
The North West Australian Football League was an Australian rules football league in north-western New South Wales, featuring teams from towns such as Tamworth, Narrabri, Moree, Gunnedah, Wee Waa, Inverell and Coonabarabran.

The league disbanded after the 1993 season, although Australian rules football was restarted in the area in the late 90s in the form of the Tamworth Australian Football League.