hotchpotch/wikipedia-multilingual-ir-related-lead-pairs huggingface dataset:
Table of Gaussian integer factorizations
A Gaussian integer is either the zero, one of the four units (±1, ±i), a Gaussian prime or composite. The article is a table of Gaussian Integers x + iy followed either by an explicit factorization or followed by the label (p) if the integer is a Gaussian prime. The factorizations take the form of an optional unit multiplied by integer powers of Gaussian primes.

Note that there are rational primes which are not Gaussian primes. A simple example is the rational prime 5, which is factored as 5=(2+i)(2−i) in the table, and therefore not a Gaussian prime.

On-Line Encyclopedia of Integer Sequences
The On-Line Encyclopedia of Integer Sequences (OEIS) is an online database of integer sequences. It was created and maintained by Neil Sloane while researching at AT&T Labs. He transferred the intellectual property and hosting of the OEIS to the OEIS Foundation in 2009, and is its chairman.

OEIS records information on integer sequences of interest to both professional and amateur mathematicians, and is widely cited. As of November 2025, it contains over 390,000 sequences, and is growing by approximately 30 entries per day.

Each entry contains the leading terms of the sequence, keywords, mathematical motivations, literature links, and more, including the option to generate a graph or play a musical representation of the sequence. The database is searchable by keyword, by subsequence, or by any of 16 fields. There is also an advanced search function called SuperSeeker which runs a large number of different algorithms to identify sequences related to the input.
Villemort
Villemort (French pronunciation: [vilmɔʁ]) is a commune in the Vienne department in the Nouvelle-Aquitaine region in western France. It is part of the canton of Montmorillon and of the arrondissement of Montmorillon.

Canton of Montmorillon
The canton of Montmorillon is an administrative division of the Vienne department, western France. Its borders were modified at the French canton reorganisation which came into effect in March 2015. Its seat is in Montmorillon.

It consists of the following communes:
Zipf
Zipf is a surname. Notable people with the surname include:

Andy Zipf, American singer-songwriter

George Kingsley Zipf (1902–1950), American linguist and philologist noted for Zipf's law

Christoph Zipf (born 1962), professional tennis player from Germany

Jonathan Zipf (born 1986), German triathlete

Jonathan Zipf
Jonathan Zipf (born 20 June 1986 in Herbolzheim-Broggingen) is a German professional triathlete and silver medalist of the 2005 Junior World Championships. In 2010 he was number 31 in the ITU World Championship Series Ranking.

Jonathan Zipf is a member of the military Sportförderung Mainz (Sports Promotion Mainz) High Performance Centre (military rank: Stabsunteroffizier). Until 2010, Zipf represented the German elite club Hansgrohe Team Schwarzwald. Since January 2011, Zipf has represented the EJOT Team TV Buschhütten in the German Bundesliga circuit. In 2010, Zipf also represented the French club Lagardère Paris Racing in the French Club Championship Series Lyonnaise des Eaux. At Beauvais, the only triathlon of this French circuit Zipf attended, he placed 14th and thus was the second best of his club.
Standby...Lights! Camera! Action!
Standby...Lights! Camera! Action! is an American educational television series hosted by Leonard Nimoy. The program aired on Nickelodeon from October 1982 to December 31, 1987. Episodes of the show include interviews with film crew members and examine the stages of production for various motion pictures in a behind-the-scenes format.

Behind-the-scenes
In filmmaking, behind-the-scenes (BTS), also known as the making-of, the set, or  on the set, is a documentary film that features the production of a film or television program. This is often referred to as the EPK (electronic press kit) video, due to its main usage as a promotional tool, either concurrent with theatrical release or as a bonus feature for the film's DVD or Blu-ray release.
Evens-McMullan House
The Evens-McMullan House (also known as Magnolia Manor) is a historic residence in Greenville, Alabama, United States.  It was built in the late 1860s by Holden Evens, a lumberman who specially selected the timber used in its construction.  It was purchased in 1891 by Frank McMullen, a Greenville jeweler.

The house is two stories and follows the basic I-house form, but with a front-facing gable and a pair of one-story wings off the rear.  The front porch has Victorian latticed supports and spandrels.  The interior features a curved staircase in the entry hall.

The house was listed on the National Register of Historic Places in 1986.

Greenville, Alabama
Greenville is a city in and the county seat of Butler County, Alabama, United States. At the 2020 census, the population was 7,374. Greenville is known as the Camellia City, wherein originated the movement to change the official Alabama state flower from the goldenrod to the camellia with legislative sponsors LaMont Glass and H.B. Taylor.
Tilaurakot
Tilaurakot is a neighborhood in Kapilvastu Municipality in Kapilvastu District, in the Lumbini Province of southern Nepal. Previously it was a Village development committee. At the time of the 1991 Nepal census it had a population of 5684 people living in 944 individual households. It is situated 25 kilometers (15.5 mi) northwest of the Maya Devi Temple in Lumbini, and 4.5 kilometers (2.8 mi) southeast of Nigali Sagar in Nigalihawa.

Tilaurakot may be the location of the ancient Shakyan city of Kapilavastu, where Gautama Buddha spent the first 29 years of his life. The site was listed as a UNESCO tentative site in 1996 by the Nepalese government.

Shakya
Shakya (Pāḷi: Sakya; Sanskrit: Śākya) was an ancient Indo-Aryan tribe of north-eastern South Asia whose existence is attested during the Iron Age. The Shakyas were organised into a gaṇasaṅgha (an aristocratic oligarchic republic), known as the Shakya Republic. The Shakyas were on the periphery, both geographically and culturally, of the eastern Indo-Gangetic Plain in the Greater Magadha cultural region.
Kam Lake
Kam Lake is a territorial electoral district for the Legislative Assembly of the Northwest Territories, Canada. It is one of seven districts that represent Yellowknife.

A larger-than-usual property tax increase in 2014 saw the area re-zoned by the city of Yellowknife and some of the restrictions around residential building in the industrial area modified.

Legislative Assembly of the Northwest Territories
The Northwest Territories Legislative Assembly, or Legislative Council of the Northwest Territories (with Northwest hyphenated as North-West until 1906), is the legislature and the seat of government of Northwest Territories in Canada. It is a unicameral elected body that creates and amends law in the Northwest Territories. Permanently located in Yellowknife since 1993, the assembly was founded in 1870 and became active in 1872 with the first appointments from the Government of Canada.

Until 2014, the assembly was officially defined under federal law as "Legislative Council". However, under Northwest Territories territorial law, it was defined as "Legislative Assembly". The federal name was changed when the Northwest Territories Act was rewritten in 2014. Under different periods of its history it has alternated names.

Members of the Legislative Assembly are sworn in by the commissioner of the Northwest Territories.
Lepidosperma angustatum
Lepidosperma angustatum is a sedge of the family Cyperaceae that is native to Western Australia.

The rhizomatous sedge typically grows to a height of 0.5 metres (1.6 ft) and to about 0.3 m (1.0 ft) wide.
In Western Australia it is found along the coast on steep slopes as two separate populations in the Peel and Great Southern regions where it grows in sandy-clay-loam soils over or around granite.

Peel (Western Australia)
The Peel region is one of the nine regional regions of Western Australia, as defined by the Regional Development Commissions Act 1993. It is located on the west coast of Western Australia, about 75 kilometres (47 mi) south of the state capital, Perth. It consists of the City of Mandurah, and the Shires of Boddington, Murray, Serpentine-Jarrahdale and Waroona.

The total area of the region is 6,648 square kilometres (2,567 sq mi). In 2017, Peel had a population of 136,854, of which over sixty percent lived in Mandurah. In June 2019 the total population for the constituent Local Government Areas (LGAs) was 142,960, within an area of 5,516.3 square kilometres (2,129.9 sq mi).
Clemensia albata
Clemensia albata, the little white lichen moth, is a moth of the family Erebidae. It was described by Alpheus Spring Packard in 1864. It is found in eastern North America, west across boreal Canada to south-eastern British Columbia. The range extends along the Pacific Coast south to Monterey Bay in west-central California. The habitat consists of moist forests, including coastal rainforests, oak woodlands and mixed hardwood forests.

The length of the forewings is 10–11 mm. Adults are on wing from late June to early September. They have also been recorded feeding on algae.

Alpheus Spring Packard
Alpheus Spring Packard Jr. LL.D. (February 19, 1839 – February 14, 1905) was an American entomologist and palaeontologist. He described over 500 new animal species – especially butterflies and moths – and was one of the founders of The American Naturalist. He served as a professor at Brown University.
The Superinvestors of Graham-and-Doddsville
"The Superinvestors of Graham-and-Doddsville" is an article by Warren Buffett promoting value investing, published in the Fall, 1984 issue of Hermes, Columbia Business School magazine. It was based on a speech given on May 17, 1984, at the Columbia University School of Business in honor of the 50th anniversary of the publication of Benjamin Graham and David Dodd's book Security Analysis. The speech and article challenged the idea that equity markets are efficient through a study of nine successful investment funds generating long-term returns above the market index. All these funds were managed by Benjamin Graham's alumni, following the same "Graham-and-Doddsville" value investing strategy but each investing in different assets and stocks.

Columbia Business School
The Columbia University Graduate School of Business, branded as Columbia Business School (CBS), is the business school of Columbia University, a private research university in New York City. It was established in 1916. It is part of the M7 group of business schools recognized as having strong MBA programs, that are often highly-ranked in US MBA rankings.
Geoff Mosley
John Geoffrey "Geoff" Mosley AM (born 14 September 1931) was executive director of the Australian Conservation Foundation from 1973 to 1986 and has had a lifelong interest in preserving wilderness. He has since been regularly elected from Victoria to the Council of the Australian Conservation Foundation as the only candidate in Victoria to receive a quota of first preference votes.

In 2005 he was made a Member of the Order of Australia in the Queen's Birthday Honours. In June, 2008 he was named as the Individual Award winner in the Australia World Environment Day 2008 Awards. In 2008, he also became the Australian director of the Centre for the Advancement of the Steady State Economy.

First-preference vote
A first-preference is a voter's most-preferred candidate. In certain ranked systems such as first preference plurality, ranked-choice voting (RCV), and the single transferable vote, first preferences for a candidate are considered most important and prioritized heavily. This incentivizes pandering to the political base or "core support" as a result of the center squeeze effect. Methods like Condorcet voting, rated voting, and the Borda count do not exhibit such effects. Methods like anti-plurality voting and Coombs' method have the opposite effect, being dominated by a voter's bottom rankings and so tending to elect the "least offensive" candidates.

First-preference votes are used by psephologists and the print and broadcast media to broadly describe the state of the parties at elections and the swing between elections. The term is much-used in Australian politics, where ranked voting has been universal at federal, state, and local levels since the 1920s.
Kinmount
Kinmount is a village with a population of approximately 500, located on the Burnt River in Ontario, Canada. The village is apportioned by three municipalities, they are, City of Kawartha Lakes, Minden Hills and Trent Lakes. The village's hinterland covers large sections of both Haliburton and Peterborough counties for which it is a shopping and cultural centre. Prior to the formation of the City of Kawartha Lakes, Kinmount was the seat of Somerville Township.

Peterborough County
Peterborough County is a county and census division located in Southern Ontario, Canada. The county seat is the City of Peterborough, which is independent of the county.

The southern section of the county is mix of agriculture, urban and lakefront properties. The northern section of the county is mostly sparsely populated wilderness, with numerous rivers and lakes mostly within Kawartha Highlands Provincial Park.

The county contains the Kawarthas, a major tourist region.
Kawanda–Birembo High Voltage Power Line
Kawanda–Birembo High Voltage Power Line is a high voltage electricity power line, under construction, connecting the high voltage substation at Kawanda, in Uganda to another high voltage substation at Birembo, in Rwanda.

High voltage
High voltage is an electrical potential large enough to cause injury or damage. In certain industries, high voltage refers to voltage above a nominal threshold. Equipment and conductors that carry high voltage warrant special safety requirements and procedures.

High voltage is used in electrical power distribution, in cathode-ray tubes, to generate X-rays and particle beams, to produce electrical arcs, for ignition, in photomultiplier tubes, and in high-power amplifier vacuum tubes, as well as other industrial, military and scientific applications.
In Return (EP)
In Return (CD + EP/10") is the second release by American stoner metal band Torche. It was released on September 18, 2007, through Robotic Empire in the United States and Rock Action Records in Europe on October 15. Artwork and design were created by Baroness singer John Dyer Baizley.

Baroness (band)
Baroness is an American heavy metal band from Savannah, Georgia that has been active since 2003. Its early members grew up together in Lexington, Virginia. The band has undergone numerous lineup changes, with frontman John Baizley serving as the sole constant throughout. Baizley creates the artwork for all of the group's albums and has done artwork for other bands.
Great Northern Football League
The Great Northern Football League is an Australian rules football league centred on the city of Geraldton in Western Australia, which was formed in 1961 as a merger of the Geraldton Football Association and the Northampton-Upper Chapman Football Association. It currently includes four clubs from Geraldton (Brigades, Railway, Rover and Towns) and one each from Mullewa, Northampton and Nabawa (Chapman Valley).

Geraldton
Geraldton (/ˈd͡ʒɛɹəltən/, JER-əl-tən; Wajarri: Jambinu, Wilunyu: Jambinbirri) is a coastal city in the Mid West region of Western Australia, 424 kilometres (263 mi) north of the state capital, Perth.

As of the 2021 census, Geraldton had an urban population of 38,595. Geraldton is the seat of government for the City of Greater Geraldton, which also incorporates the town of Mullewa, Walkaway and large rural areas previously forming the shires of Greenough and Mullewa.

The Port of Geraldton is a major west coast seaport. Geraldton is an important service and logistics centre for regional mining, fishing, wheat, sheep and tourism industries.
Julia Vargas Avenue
Julia Vargas Avenue is a central east–west arterial road that passes through Ortigas Center in Metro Manila, Philippines. It is a four-lane divided road with one-way protected bike lanes that run parallel to Ortigas Avenue to the north and Shaw Boulevard to the south. The avenue stretches 2.3 kilometers (1.4 mi) from Eulogio Rodriguez Jr. Avenue (C-5 Road) in Ugong, Pasig in the east to Epifanio de los Santos Avenue (EDSA) in Wack-Wack Greenhills, Mandaluyong in the west.

It was named for philanthropist Doña Julia Vargas de Ortigas, wife of Ortigas & Company Limited Partnership founder Don Francisco Ortigas y Barcinas, who owned the Hacienda de Mandaloyon estate on which Ortigas Center was built.

Ugong, Pasig
Ugong is a highly urbanized barangay located in the northwestern portion of Pasig. Today, barangay Ugong is further subdivided into south which is part of Pasig, while the northern boundary of Ugong, Ugong Norte, is under Quezon City. It is also the location of Arcovia City, which was designated as a Special Economic Zone (Information Technology Park) in 2024.

The barangay was also part of Mandaluyong when it was included in the 1940s consolidation under the City of Greater Manila.
Col. E. M. Heigho House
The Col. E. M. Heigho House, on Idaho State Highway 55 in New Meadows, Idaho, was built in 1911.  It was listed on the National Register of Historic Places in  1978.

It is a two-and-one-haIf-story brick house built in Georgian Revival style.  As of 1977, the brick was painted red.  It has an outset center bay, with a one-story portico of Doric columns, with a fanlight in its gable;  the portico's roof-balcony has an iron balustrade.

It was designed by Weiser architect H. W. Bond, and was built by contractor George Brinson.

It has also been known as the Farnsworth Hotel.

Fanlight
A fanlight is a form of lunette window (transom window), often semicircular or semi-elliptical in shape, with glazing bars or tracery sets radiating out like an open fan. It is placed over another window or a doorway, and is sometimes hinged to a transom. The bars in the fixed glazed window spread out in the manner of a sunburst. It is also called a sunburst light. In federation housing it is also called a toplight or top light.
Little River (Oconee River tributary)
The Little River is a 62-mile-long (100 km) tributary of the Oconee River in the U.S. state of Georgia. It rises in Walton County near the city of Social Circle and flows southeast to join the Oconee River in Lake Sinclair.

Social Circle, Georgia
Social Circle is a city in southern Walton County, extending into Newton County, in the U.S. state of Georgia, 45 miles (72 km) east of Atlanta. As of the 2020 census, Social Circle had a population of 4,974.
Arthur Thomas Palin
Arthur Thomas Palin (16 October 1916 – 2006) was a British chemist and bacteriologist. As well as inventing the DPD method of detecting chlorine in water and working as an official advisor to the American Water Works Association (AWWA), Palin was responsible for what the Manual of British Water Engineering Practice records as one of the key historical developments, when breakpoint chlorination was first used in England in the city of Coventry in 1943.

Bacteriologist
A bacteriologist is a microbiologist, or similarly trained professional, in bacteriology— a subdivision of microbiology that studies bacteria, typically pathogenic ones. Bacteriologists are interested in studying and learning about bacteria, as well as using their skills in clinical settings. This includes investigating properties of bacteria such as morphology, ecology, genetics and biochemistry, phylogenetics, genomics and many other areas related to bacteria like disease diagnostic testing. Alongside human and animal healthcare providers, they may carry out various functions as medical scientists, veterinary scientists, pathologists, or diagnostic technicians in locations like clinics, blood banks, hospitals, laboratories and animal hospitals. Bacteriologists working in public health or biomedical research help develop vaccines for public use as well as public health guidelines for restaurants and businesses.
Azure Mountain
Azure Mountain is a 2,323-foot-tall (708 m) mountain near Blue Mountain Road in the Adirondack Park town of Waverly in Franklin County, New York. Azure Mountain is the site of the Azure Mountain Fire Observation Station, a 35-foot-tall (11 m) steel tower that was built in 1918 and later restored in 2002. The fire tower was listed on the National Register of Historic Places in 2001.

Franklin County, New York
Franklin County is a county on the northern border of the U.S. state of New York. To the north across the Canada–United States border are the Canadian provinces of Quebec and Ontario, from east to west. As of the 2020 census, the county population was 47,555. Its county seat is Malone. The county is named in honor of the United States Founding Father Benjamin Franklin. The county is part of the North Country region of the state.

Franklin County comprises the Malone, NY Micropolitan Statistical Area. Much of Franklin County is within Adirondack Park. Within the border of the county is the St. Regis Mohawk Reservation, or Akwesasne in the Mohawk language. Its population was nearly 3,300 in the 2010 census. The people are linked by community and history with the Mohawk of the Akwesasne reserve across the river, spanning the border of Quebec and Ontario. The Mohawk have had authority under the Jay Treaty to freely cross this international border.
Persia gens
The gens Persia was a minor plebeian family at ancient Rome.  Members of this gens are first mentioned during the Second Punic War, but they only occasionally occur in history.  The most illustrious of the family was the satirist Aulus Persius Flaccus, who lived during the middle part of the first century.

Populonia
Populonia or Populonia Alta (Etruscan: Pupluna, Pufluna or Fufluna, all pronounced Fufluna; Latin: Populonium, Populonia, or Populonii) today is a frazione of the comune of Piombino (Tuscany, central Italy). As of 2009 its population was 17. It is one of I Borghi più belli d'Italia ("The most beautiful villages of Italy"). Populonia is especially noteworthy for its Etruscan remains, including one of the main necropolis in Italy, discovered by Isidoro Falchi.
Ontario Society for the Prevention of Cruelty to Animals
The Ontario SPCA and Humane Society (Ontario SPCA) is a registered Canadian charity focused on animal protection and animal advocacy.

In the spring of 2009, the Ontario SPCA introduced the model of high-volume spay/neuter to the Province of Ontario as the humane response to pet over-population.

Advocacy
Advocacy is the set of activities by individuals or groups intended to influence decisions within political, economic, and social institutions. It encompasses tactics ranging from grassroots organizing and media campaigns to lobbying, strategic litigation, and coalition-building, and aims to change laws, budgets, institutional practices, and public opinion. Advocacy can include many activities that a person or organization undertakes, including media campaigns, public speaking, commissioning and publishing research. Lobbying (often by lobby groups) is a form of advocacy where a direct approach is made to legislators on a specific issue or specific piece of legislation. Research has started to address how advocacy groups in the United States and Canada are using social media to facilitate civic engagement and collective action.