Conjunctions:

   17,25 Lib   11/12/1747
   15,49 Lib   18/ 4/1748
   14,42 Lib   18/ 7/1748

   10,59 Tau    6/ 5/1828

   16,54 Vir    3/10/1866

   25,42 Tau   16/ 8/1958
   24,52 Tau   25/10/1958
   23,09 Tau   14/ 3/1959

   15,58 Leo   10/ 9/1984
   14,28 Leo   31/ 3/1985
   14,17 Leo   25/ 4/1985

Oppositions

   no oppositions found

In a survey from 1700 to 2018, they reach a sextile only in 1997-98, a quintile (72) in 2003-2006, and then again are in sextile in 2015-2018. Before that the only aspect they make is the semi-square and semi-sextile.
 

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Conjunctions:

11/ 3/1714   22,25 Aqu 19h
 9/ 9/1714   21,36 Aqu 08h
 9/12/1714   21,07 Aqu 04h

 5/ 6/1721   24,35 Pis 02h

20/ 5/1742    2,50 Can 16h

13/ 2/1949    8,01 Sag 16h
30/ 5/1949    5,45 Sag 15h
 3/ 9/1949    3,37 Sag 19h

Oppositions:

17,12 Sag-Gem   16/ 1/1802
19,48 Sag-Gem   17/ 5/1802
24,24 Sag-Gem   21/12/1802
28,23 Sag-Gem    2/ 7/1803
 1,29 Cap-Can    1/12/1803
 6,28 Cap-Can    9/ 8/1804
 8,20 Cap-Can   12/11/1804
14,20 Cap-Can   22/ 9/1805
14,48 Cap-Can   17/10/1805

16,37 Aqu-Leo    9/10/1810
17,43 Aqu-Leo   15/12/1810
22,20 Aqu-Leo   21/ 9/1811
24,14 Aqu-Leo   16/ 1/1812
28,00 Aqu-Leo    4/ 9/1812
 0,40 Pis-Vir   16/ 2/1813
 3,35 Pis-Vir   17/ 8/1813
 7,06 Pis-Vir   25/ 3/1814
 9,03 Pis-Vir   25/ 7/1814

13,32 Vir-Pis   21/10/1844
16,14 Vir-Pis   17/ 2/1845
20,32 Vir-Pis   23/ 8/1845
 

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QM107 crosses back and forth the orbit of Uranus, but never leaves the Uranus realm, so it is uniquely Uranian among the centaurs.

There are no oppositions in the 6 centuries from 1500 to 2100, and between 1850 and 2100, they are never more than 43 degrees apart.

Between 1700-2020, one finds them in conjunction only in 1959 (1 exact conjunction) and in 1998 (3 exact conjunctions):

23/ 7/1959 = 15,35 Leo
 8/ 4/1998 = 12,08 Aquarius
 4/ 8/1998 = 10,42 Aquarius
23/11/1998 =  9,20 Aquarius
 

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