The appearance of (T, n) in the following list means that the equicenter of triangles ABC and T is X(n):

(ABC-X3 reflections, 3), (Andromeda, 32559), (anti-Aquila, 1), (anti-Ara, 25), (anti-Artzt, 2), (anti-Ascella, 38396), (anti-Atik, 4), (1st anti-Brocard, 2), (4th anti-Brocard, 21448), (5th anti-Brocard, 32), (6th anti-Brocard, 10131), (2nd anti-circumperp-tangential, 56), (1st anti-circumperp, 110), (anti-Conway, 54), (2nd anti-Conway, 4), (anti-Euler, 4), (3rd anti-Euler, 38397), (4th anti-Euler, 11704), (anti-excenters-reflections, 64), (2nd anti-extouch, 6), (anti-inner-Grebe, 6), (anti-outer-Grebe, 6), (anti-Honsberger, 1176), (anti-Hutson intouch, 3), (anti-incircle-circles, 3), (anti-inverse-in-incircle, 69), (anti-Mandart-incircle, 55), (anti-McCay, 2), (6th anti-mixtilinear, 3), (anti-orthocentroidal, 6), (1st anti-orthosymmedial, 251), (1st anti-Sharygin, 54), (anti-tangential-midarc, 73), (3rd anti-tri-squares, 486), (4th anti-tri-squares, 485), (anti-Ursa minor, 125), (anti-Wasat, 125), (antiAOA, 3), (anticomplementary, 2), (Antlia, 32560), (AOA, 38398), (Apollonius, 9560), (Apus, 32561), (Aquila, 1), (Ara, 25), (Aries, 110), (Artzt, 2), (Ascella, 38399), (Atik, 8), (1st Auriga, 5597), (2nd Auriga, 5598), (Ayme, 10), (Bankoff, 38400), (BCI, 1489), (Bevan antipodal, 223), (1st Brocard-reflected, 2), (1st Brocard, 2), (2nd Brocard, 574), (3rd Brocard, 3117), (4th Brocard, 5094), (5th Brocard, 32), (6th Brocard, 10131), (circummedial, 10130), (circumorthic, 54), (2nd circumperp tangential, 56), (1st circumperp, 100), (2nd circumperp, 21), (circumsymmedial, 574), (inner-Conway, 100), (Conway, 21), (2nd Conway, 8), (3rd Conway, 1), (4th Conway, 11679), (5th Conway, 17185), (Ehrmann-cross, 38401), (Ehrmann-mid, 381), (Ehrmann-side, 3), (Ehrmann-vertex, 265), (1st Ehrmann, 38402), (2nd Ehrmann, 895), (Euler, 4), (2nd Euler, 3), (3rd Euler, 10129), (4th Euler, 7705), (5th Euler, 5094), (excenters-midpoints, 9), (excenters-reflections, 3680), (excentral, 9), (1st excosine, 6), (2nd excosine, 1033), (extangents, 71), (extouch, 9), (2nd extouch, 9), (3rd extouch, 223), (4th extouch, 1038), (5th extouch, 1038), (inner-Fermat, 2), (outer-Fermat, 2), (1st Fermat-Dao, 38403), (2nd Fermat-Dao, 38404), (3rd Fermat-Dao, 13), (4th Fermat-Dao, 14), (5th Fermat-Dao, 11080), (6th Fermat-Dao, 11085), (7th Fermat-Dao, 13), (8th Fermat-Dao, 14), (9th Fermat-Dao, 11080), (10th Fermat-Dao, 11085), (11th Fermat-Dao, 14), (12th Fermat-Dao, 13), (13th Fermat-Dao, 14), (14th Fermat-Dao, 13), (15th Fermat-Dao, 18), (16th Fermat-Dao, 17), (1st inner-Fermat-Dao-Nhi, 2), (2nd inner-Fermat-Dao-Nhi, 2), (3rd inner-Fermat-Dao-Nhi, 2), (4th inner-Fermat-Dao-Nhi, 2), (1st outer-Fermat-Dao-Nhi, 2), (2nd outer-Fermat-Dao-Nhi, 2), (3rd outer-Fermat-Dao-Nhi, 2), (4th outer-Fermat-Dao-Nhi, 2), (Feuerbach, 5949), (Fuhrmann, 7705), (2nd Fuhrmann, 10129), (inner-Garcia, 3), (outer-Garcia, 10), (Garcia-reflection, 11), (Gossard, 402), (inner-Grebe, 6), (outer-Grebe, 6), (1st half-diamonds-central, 2), (2nd half-diamonds-central, 2), (1st half-diamonds, 2), (2nd half-diamonds, 2), (1st half-squares, 2), (2nd half-squares, 2), (Hatzipolakis-Moses, 6), (1st Hatzipolakis, 17054), (2nd Hatzipolakis, 17054), (3rd Hatzipolakis, 6), (hexyl, 1), (Honsberger, 2346), (Hutson extouch, 9), (inner-Hutson, 6732), (Hutson intouch, 1), (outer-Hutson, 7707), (1st Hyacinth, 38405), (2nd Hyacinth, 6), (incentral, 37), (incircle-circles, 1), (intangents, 7004), (intouch, 1), (inverse-in-Conway, 314), (inverse-in-excircles, 2), (inverse-in-incircle, 7), (1st isodynamic-Dao, 17), (2nd isodynamic-Dao, 18), (3rd isodynamic-Dao, 4), (4th isodynamic-Dao, 4), (Jenkins-contact, 38406), (Jenkins-tangential, 38407), (1st Jenkins, 10), (2nd Jenkins, 38408), (3rd Jenkins, 38409), (Johnson, 5), (inner-Johnson, 11), (outer-Johnson, 12), (1st Johnson-Yff, 12), (2nd Johnson-Yff, 11), (K798e, 38410), (K798i, 38411), (1st Kenmotu-free-vertices, 372), (2nd Kenmotu-free-vertices, 371), (1st Kenmotu diagonals, 6413), (2nd Kenmotu diagonals, 6414), (Kosnita, 3), (largest-circumscribed-equilateral, 38412), (Lemoine, 597), (1st Lemoine-Dao, 4), (2nd Lemoine-Dao, 4), (inner-Le Viet An, 38413), (outer-Le Viet An, 38414), (Lucas antipodal, 10132), (Lucas Brocard, 32562), (Lucas central, 10132), (Lucas homothetic, 493), (Lucas inner, 32563), (Lucas inner tangential, 32564), (Lucas reflection, 184), (Lucas secondary central, 32565), (Lucas 1st secondary tangents, 32566), (Lucas 2nd secondary tangents, 32567), (Lucas tangents, 32568), (Lucas(-1) antipodal, 10133), (Lucas(-1) Brocard, 32569), (Lucas(-1) central, 10133), (Lucas(-1) homothetic, 494), (Lucas(-1) inner, 32570), (Lucas(-1) inner tangential, 32571), (Lucas(-1) reflection, 184), (Lucas(-1) secondary central, 32572), (Lucas(-1) 1st secondary tangents, 32573), (Lucas(-1) 2nd secondary tangents, 32574), (Lucas(-1) tangents, 32575), (Macbeath, 5), (Malfatti, 32576), (Mandart-excircles, 6), (Mandart-incircle, 55), (McCay, 2), (medial, 2), (midarc, 2089), (2nd midarc, 1488), (midheight, 6), (mixtilinear, 55), (2nd mixtilinear, 220), (3rd mixtilinear, 32577), (4th mixtilinear, 32578), (5th mixtilinear, 1), (6th mixtilinear, 1), (7th mixtilinear, 2124), (Montesdeoca-Hung, 32579), (1st Morley-midpoint, 38415), (2nd Morley-midpoint, 38416), (3rd Morley-midpoint, 38417), (1st Morley, 3604), (2nd Morley, 3602), (3rd Morley, 3603), (1st Morley-adjunct, 16839), (2nd Morley-adjunct, 16840), (3rd Morley-adjunct, 16841), (Moses-Hung, 32580), (Moses-Steiner osculatory, 76), (Moses-Steiner reflection, 38418), (inner-Napoleon, 2), (outer-Napoleon, 2), (1st Neuberg, 2), (2nd Neuberg, 2), (orthic, 6), (orthic axes, 53), (orthocentroidal, 6), (1st orthosymmedial, 251), (2nd orthosymmedial, 32581), (Paasche-Hutson, 38004), (1st Pamfilos-Zhou, 32582), (2nd Pamfilos-Zhou, 7133), (1st Parry, 110), (2nd Parry, 111), (3rd Parry, 32583), (Pelletier, 11), (1st Przybylowski-Bollin, 38419), (2nd Przybylowski-Bollin, 38420), (3rd Przybylowski-Bollin, 38421), (4th Przybylowski-Bollin, 38422), (reflection, 6), (1st Schiffler, 11), (2nd Schiffler, 11), (1st Sharygin, 21), (2nd Sharygin, 100), (Soddy, 3160), (inner-Soddy, 10134), (2nd inner-Soddy, 13389), (outer-Soddy, 10135), (2nd outer-Soddy, 13388), (inner-squares, 3068), (outer-squares, 3069), (Steiner, 523), (submedial, 5544), (symmedial, 39), (tangential, 3), (tangential-midarc, 15997), (2nd tangential-midarc, 6732), (inner tri-equilateral, 32585), (outer tri-equilateral, 32586), (1st tri-squares-central, 38423), (2nd tri-squares-central, 38424), (3rd tri-squares-central, 3068), (4th tri-squares-central, 3069), (1st tri-squares, 38425), (2nd tri-squares, 38426), (3rd tri-squares, 485), (4th tri-squares, 486), (Trinh, 3), (Ursa-major, 11), (Ursa-minor, 11), (inner-Vecten, 2), (2nd inner-Vecten, 32587), (3rd inner-Vecten, 32587), (outer-Vecten, 2), (2nd outer-Vecten, 32588), (3rd outer-Vecten, 32588), (1st Vijay-Paasche-Hutson, 1123), (2nd Vijay-Paasche-Hutson, 37996), (3rd Vijay-Paasche-Hutson, 3083), (Vijay-Paasche-midpoints, 37881), (Vijay-Paasche-polar, 37861), (Vu-Dao-X(15)-isodynamic, 38427), (Vu-Dao-X(16)-isodynamic, 38428), (Walsmith, 74), (Wasat, 11), (X-parabola-tangential, 523), (X3-ABC reflections, 3), (Yff central, 7707), (Yff contact, 514), (inner-Yff, 1), (outer-Yff, 1), (inner-Yff tangents, 1), (outer-Yff tangents, 1), (Yiu, 1154), (Yiu tangents, 38429), (1st Zaniah, 1), (2nd Zaniah, 9)

César E. Lozada - May 10, 2020