who ruled jerusalem after jesus era?

we know that roman EMPERORS ruled Jerusalem as part of the empire, occupying from afar in the era of jesus. what about between  year 30 ad until the end of byzantine empire in 1400s?
we will only briefly review the problem of pre-jesus:
wen jebus ruled jerusalem they had stolen it from the previous NATIVES [named what?] who built the city so the biblical story of war against canan was "not against" the founders of Jerusalem but against the jebus thieves who occupied jerusalem which existed with a wall since around 1800bc 600 years before jebusite occupation. if jews war against jerualem it was to out/oust the occupiers. altho that era lacks arceological signs of war so the legends of king david are baseless and pure entertainment of exciting battles like arry potter and same category as cinderella. also another flaw claim "1200bc jebus occupation of jerusalem" yet no such story in book judges for that era.
whether entered land in 1400bc or 1270  that would put jebus after jew entered... refuting bible books.
YEAR 30: romans rule Jerusalem from rome until year 395 wen the emperor divided the empire territory to his 2 sons. this event is 60 years after Constantine moved the capital away from rome and accepted Christ jesus.
395 byzantine emperors rule until reign of "Heraclius =, and his son Constantine III

5 October 610: recognized as emperor, ruled until "11 January 641: death"
during his reign persians capture jerusalem year 614 until 629. next h. rules j. as byz. until caliph OMAR 638 after muhamed died in 632

614 CE - Persians Capture Jerusalem
629 CE - Byzantine Christians Recapture Jerusalem from Persians
First Muslim Period (638-1099 CE)
muhamed died 632 of regular count called year ten of muslim calendar. called "942" for documents by the jews in that time.
638 CE - Caliph Omar Enters Jerusalem
661-750 CE - Jerusalem Ruled Under *Umayyad Dynasty v coroborated. until abassid. um. moved capital from iraq to... where? Jerusalem? no! that city was not important to muslims… instead to "Damascus, the Umayyad capital city" only in our era the deception muslims "cherish jerusalem and always have"  only lying in response to the Israeli government in Jerusalem. yet even wen they MOVED capitals it was not to Jerusalem. occupation from afar until year 750.
691 CE - Dome of the Rock Built on Site of Destroyed Jewish Temples
750-974 CE - Jerusalem Ruled Under Abassid Dynasty the ruler in kufa iraq took control from umaya in 750 and occupied jerusalem note ab. also MOVED moved capital to... can you guess? jerusalem? nope! that city is not important to muslims even wen moving they moved to bagdad iraq! in muslim year 140 [+622 counting from expel muhamed from mecca]  the bagdad rulers occupied Jerusalem from afar until year 974 bc today society tells us occupation is BAD... but only say that to revile jews not for other occupations such as roman ummayad and abbasid. the distincyion shows hate towards jews and must end.
hence we know that the byz. emperors only ruled near coast of north edj sea called mediteranean sea.
who were they? briefly: list byzantine emperors, from year 600
emperor MAURICE continues
Maurice born: Flavius Mauricius
13 August 582: recognized as emperor; bkuz married emperors daughter and replaced him. surnamed Tiberius
22 November 602: dethroned by phocas the next:
Heraclian dynasty (610–695) but not rule jerusalem as above.
Anarchy (695–717) until Isaurian dynasty (717–802)
many rulers in byzantine region until ottoman but not the topic now.
BYZ. rule even jer. from 600 as above also: emp. Phocas =, 23 November 602: recognized as emperor
5 October 610: death next: 
Heraclius =, and his son Constantine III
5 October 610: recognized as emperor
11 January 641: death
during his reign persians capture jerusalem year 614 until 629. then her. ruled jer. as byz. until caliph OMAR 638 after muhamed died in year 632
next
Constans II
the list ends because constans no longer rules the "byzantine empire" which extended far instead they only rule near the coast as above.
Constans =
641: recognized as emperor
668: death
we see byz. empire lasted most of seventh century. this is flawed because eth "empire territory" was lost before 668 and the later rulers only ruled smaller territory not the "empire".
as above byz. had rulers on small territory otoman "Byzantine emperors from the foundation of Constantinople in 330 AD, which marks the conventional start of the Byzantine Empire (or the Eastern Roman Empire), to its fall to the Ottoman Empire in 1453 AD"
many emperors of byz. from 30 ad until 600 ad. but then what happened?
**Maurice continued his reign in 600 as above and ruled even Jerusalem until 22 November 602.
was general. Married the daughter of emperor Tiberius II and replaced him upon his death. Named his son Theodosius as co-emperor in 590. Deposed by Phocas and executed on 27 November 602 at Chalcedon.
next Phocas:
Phocas =Flavius Phocas ruler 23 November 602 – 4 October 610
ph. led a rebellion that dethroned Maurice. heraclius dethroned ph. as below.
Heraclian dynasty (610–695)
Heraclius =Flavius Heraclius ruled 5 October 610  until 11 February 641.
revolt against Phocas in 609 and dethroned him in October 610. also killed Ph.
defeated Persians in war 602–628 meanwhile Muslim conquest of Syria. as above jer. changed hands in this era. Officially replaced Latin with Greek as the language of administration.  this matches the Israeli book claiming the east used greek in era of divide except for formal stuff now even formal changed from latin to greek.
next: Constantine III ruled 641 but not Jerusalem which was then occupied by caliph omar and his followers since 638. did muhamed ever rule Jerusalem? nope. he died in 632 and only later omar occupied jeraselem bad occupation. he shoulda returned it to the slomon dynasty.
last emperor listed is: Constans II
September 641 until 15 September 668
Reigned title Constantine while "Constans" is his nickname. Moved his seat to Syracuse, where he was assassinatedyear 668. as above list ends with constans 2.
the dynasty continues and more dynasties until otto man as above so no need for details in Jerusalem topic.
only briefly
Nikephorian dynasty (802–813)
Non-dynastic (813–820)
Amorian dynasty (820–867)
Macedonian dynasty (867–1056)
Non-dynastic (1056–1057)
Komnenid dynasty (1057–1059)
Doukid dynasty (1059–1081)
Komnenid dynasty (1081–1185)
Angelid dynasty (1185–1204)
Laskarid dynasty (Empire of Nicaea, 1204–1261)
Palaiologan dynasty (restored to Constantinople, 1261–1453)
Claimants in exile  wen ottoman ruler ousted them.
enuf for today