Question: What level of power did the Swedish Empire have under Gustavus Adolphus, under his military and diplomatic influence?

Context articles: Great power
Swedish Empire
Military of the Swedish Empire
Tau Mu Tau
Gustavus Adolphus pastry
Gustavus Adolphus of Sweden
Gustavus Adolphus of the Palatinate
Gustavus Adolphus College
Gustavus Adolphus Day
Battle of Werben

A great power is a sovereign state that is recognized as having the ability and expertise to exert its influence on a global scale.
 Great powers characteristically possess military and economic strength, as well as diplomatic and soft power influence, which may cause middle or small powers to consider the great powers' opinions before taking actions of their own.
 International relations theorists have posited that great power status can be characterized into power capabilities, spatial aspects, and status dimensions.
The Swedish Empire (Swedish: "stormaktstiden, "the era of great power"" ) was a European great power that exercised territorial control of much of the Baltic region during the 17th and early 18th centuries.
 The beginning of the Empire is usually taken as the reign of Gustavus Adolphus, who ascended the throne in 1611, and the end as the loss of territories in 1721 following the Great Northern War.
From 1611 to 1721, Sweden was a European great power, becoming a dominant faction in the quest for control of the Baltic Sea and a formidable military power.
 During this period, known as "Stormaktstiden" (Swedish: ""The Great Power Era"" ), the Swedish Empire held a territory more than twice the size of its modern borders and one of the most successful military forces at the time, proving itself on numerous occasions on battlefields such as Wallhof, Narva and Düna.
 The military of the Swedish empire is commonly (and wrongfully) recognized only as the Caroleans, which were in fact not in service until the late 17th century under Karl XI and his successor.
 The Swedish Empire and its modern military force was founded by Gustavus Adolphus, who inherited the throne in 1611 at age 17.
 He immediately reformed the common European military based on mercenaries to a professional national army.
 However, before completing his vision of conquering the Holy Roman Empire, the warrior king was killed in action in 1632.
 His daughter and successor did little to improve Sweden's military position and abdicated early, providing the Swedish Empire with a more warlike ruler.
 Karl X Gustav was only king for 5 years, but conquered large amounts of territory that still belong to Sweden today (including Blekinge, Bohuslän, Skåne and Halland).
 His son Karl XI would further strengthen the army by introducing the Caroleans, which were also used by Karl XII in the Great Northern War.
Tau Mu Tau (ΤΜΤ) sorority began in the early 1900s with twelve members at Gustavus Adolphus College.
 Like most sororities at Gustavus, the TMTs began as more of a college literary society and evolved eventually into having a more social focus.
 During the organization's early years, members proved troublesome for then Gustavus President Peter August Mattson.
 According to Doniver Lund's book "Gustavus Adolphus College: A Centennial History", the women "were not only known as The Modest Tribe but also as Ten Mattson's Troubles."
 The current mission of Tau Mu Tau is to provide an enlightening and enjoyable experience that combines friendship and unity, and integrates the development of values with intellectual and social growth.
 In the fall of 2016, the sorority was suspended for violations of the college hazing policy.
Gustavus Adolphus pastry (Swedish: "Gustaf Adolfsbakelse" ) is a pastry traditionally eaten every 6 November in Sweden, Gustavus Adolphus Day, the death day of King Gustavus Adolphus the Great.
 It is especially popular in Gothenburg, a city founded by the king.
Gustav II Adolf (9 December 1594 – 6 November 1632, O.S.), widely known in English by his Latinised name Gustavus Adolphus or as Gustav II Adolph, was the King of Sweden from 1611 to 1632 and is credited as the founder of Sweden as a Great Power (Swedish: "Stormaktstiden" ).
 He led Sweden to military supremacy during the Thirty Years' War, helping to determine the political as well as the religious balance of power in Europe.
 He was formally and posthumously given the name Gustavus Adolphus the Great (Swedish: "Gustav Adolf den store" , Latin: "Gustavus Adolphus Magnus" ) by the Riksdag of the Estates in 1634.
Gustavus Adolphus of the Palatinate ("Prince Palatine Gustavus Adolphus", 14 January 1632 – 9 January 1641), was the last son of Frederick V, Elector Palatine (of the House of Wittelsbach), the "Winter King" of Bohemia, by his consort, the English princess Elizabeth Stuart.
 Gustavus was born in the Dutch Republic, where his family had sought refuge after the sequestration of the Electorate during the Thirty Years' War.
 Gustavus's brother Charles Louis was, as part of the Peace of Westphalia, restored to the Palatinate.
Gustavus Adolphus College ( ) is a private, coeducational liberal arts college.
 A four-year, residential institution, Gustavus Adolphus College was founded in 1862 by Swedish Americans and is affiliated with the Evangelical Lutheran Church in America.
 To this day the school retains Swedish and Lutheran heritage.
 The premier event on campus is the annual Nobel Conference, which features Nobel Laureates and other scholars explaining their expertise to a general audience.
 In 2015, "U.S. News & World Report" ranked Gustavus as the 64th best liberal arts college in the United States.
 The college is ranked No. 38 for liberal arts colleges on Payscale's 2016-17 list of highest-paid graduates.
Gustavus Adolphus Day (Swedish: "Gustav Adolfsdagen") is celebrated in Sweden and some other countries on 6 November in memory of King Gustavus Adolphus of Sweden, who was killed on that date (old style) in 1632 at the Battle of Lützen in the Thirty Years' War.
 The day is named for the king and is a general flag day in Sweden and in Finland.
 The day was formerly celebrated with torchlight processions and patriotic speeches.
 Today what remains is mainly the consumption of the Gustavus Adolphus pastry ("Gustav Adolfs-bakelse" in Swedish) on this day, with a chocolate or marzipan relief of that king on top.
The Battle of Werben was a battle of the Thirty Years' War, fought on July 22 (O.S.) or August 1, 1631 (N.S.), between the Swedish Empire and the Holy Roman Empire.
 The Swedes had 16,000 soldiers and were led by Gustavus Adolphus, while the Imperialists had 23,000 soldiers and were led by Field-Marshal Count Tilly.
 Tilly's troops attacked Gustavus' entrenchments in front of Werben (Elbe), but Swedish batteries and the cavalry under Wolf Heinrich von Baudissin forced them to retreat.
 The attack was renewed a few days later with a similar result, and Tilly then drew off his forces, having suffered a loss of 6,000 men.