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Cubics K561-K840

updated lists of centers are available

here

K561 psK(X603, X7, X1)

X(1), X(3), X(56), X(224)

K562 psK(X5, X264, X3), a central cubic

X(3), X(4), X(5)

K563 psK(X186, X264, X3), a circular cubic

X(3), X(4), X(93), X(186), X(1154), X(1300), X(3043), X(5962)

K564 psK(X6, X2, X74)

X(74), X(133), X(1511), X(3163)

K565 psK(X6, X2, X111)

X(111), X(671), X(2482)

K566 Napoleon central cubic, spK(X5, X548)

X(3), X(4), X(20), X(54)

K567 psK(X512, X2, X3), a circular cubic

X(3), X(110), X(136), X(523), X(6328)

K568 psK(X110, X99, X4), a circular cubic

X(4), X(110), X(523)

K569 psK(X6 x X140, X2, X3), spK(X5, X3628)

X(3), X(4), X(54), X(140), X(1493)

K570 psK(X237, X2, X3), a circular cubic

X(3), X(32), X(98), X(132), X(511), X(5000), X(5001), X(5403), X(5404), X(5976)

K571 psK(X65, X7, X1)

X(1), X(10), X(65), X(145)

K572 psK(X513, X7, ?)

-

K573 psK(Ω573, X7, X1000), a central cubic

X(1000)

K574 pK(Ω574, X7) where Ω574 = X(7)X(44) /\ X(65)X(513)

X(7)

K575 psK(X519 x X2006, X7, X80)

X(80), X(1317)

K576 pK(X3 x X184, X3)

X(3), X(6), X(48), X(154), X(184), X(212), X(577), X(603), X(2188)

K577 psK(X56, X7, X2), a nodal cubic

X(2), X(55), X(57), X(196), X(222), X(258), X(364)

K578 psK(X56, X7, X513), an axial cubic

X(59), X(513)

K579 psK(X32, X6, X512), an axial cubic

X(249), X(512)

K580 spK(X3, X6102), a stelloid

X(4), X(847)

K581 spK(X3, X549), a stelloid

X(2), X(3), X(4), X(262)

K582 spK(X3, X597), a stelloid

X(2), X(4), X(6), X(262), X(4846)

K583 Steiner-MacBeath cubic, a cubic related with inscribed deltoids

-

K584 nK(X6, X3602, ?), Morley isogonal nK, a cubic related with Morley triangles

-

K585 pK(X6, X3602), a cubic related with the Neuberg cubic and trisected angles

X(1), X(357), X(358), X(3274), X(3275), X(3602), X(3603)

K586 pK(X3275, X5456), a pivotal cubic related with the Kn cubic and trisected angles

X(357), X(358), X(3602), X(3604), X(5456)

K587 Morley - van Tienhoven cubic

X(357), X(1134), X(1136), X(3272), X(5628), X(5630), X(5632)

K588 cK(#X1, X101)

X(1), X(10), X(58), X(1794), X(1838), X(3864), X(3865), X(4792)

K589 psK(X5 x X523, X110, X4)

X(4), X(5), X(12), X(17), X(18), X(54), X(68), X(1209)

K590 psK(X54 x X110, X54 x X249, X3)

X(3), X(5), X(24), X(54), X(60), X(61), X(62), X(1166)

K591 Kiepert-Neuberg strophoid

X(4), X(30), X(113), X(5011), X(5167)

K592 an axial nodal cubic related with anallagmatic centers of Kiepert strophoids

X(30), X(476), X(3233)

K593 an axial nodal cubic related with points of inflexion of Kiepert strophoids

X(30), X(523)

K594 spK(X3, X1), a nodal stelloid with node I, a K60+

X(1), X(4), X(1482)

K595 Tarry nodal stelloid, a K60+

X(74), X(98), X(265), X(290), X(671)

K596 Steiner nodal stelloid, a K60+

X(74), X(99), X(265), X(290)

K597 Tixier nodal stelloid, a K60+

X(30), X(74), X(265), X(477)

K598 a stelloid with inflexions on the sidelines of ABC

-

K599 a cubic related with circular pKs

X(4), X(6), X(115), X(187), X(248), X(1989), X(1990)

K600 a cubic related with nK0 cubics having a pencil of circular polar conics

X(2), X(4), X(468), X(525)

K601 pK(X1637, X3258), a cubic having a pencil of circular polar conics

X(476), X(3258)

K602 pK(X99 x X620, X99), a cubic having a pencil of circular polar conics

X(99), X(620)

K603 pK(X100 x X3035, X100), a cubic having a pencil of circular polar conics

X(100), X(3035)

K604 nK0+(X187, X6), a cubic having a pencil of circular polar conics

-

K605 pK(X2, X304), Ayme-Moses cubic

X(1), X(2), X(19), X(75), X(279), X(304), X(346), X(2184), X(4329)

K606 nK0(X523, X69)

X(2), X(523), X(2408), X(3413), X(3414)

K607 psK(X512, X2, ?)

-

K608 nK0(X468 x X523, X6), a central cubic

X(468), X(523), X(5000), X(5001)

K609 Deaux (third) cubic

X(1), X(2), X(3), X(20)

K610 pK(X2, X286)

X(2), X(4), X(21), X(63), X(69), X(72), X(92), X(286), X(1441), X(2997), X(3868)

K611 pK(X2, X340)

X(2), X(4), X(30), X(69), X(265), X(340), X(1494), X(2986), X(3580)

K612 pK(X216, X2)

X(2), X(3), X(5), X(6), X(216), X(343), X(2165)

K613 nK(X112, X323 x X648, X4), spK(X3, X1511), a nK60+, a stelloid

X(4), X(110), X(1113), X(1114)

K614 a central focal cubic

X(30), X(74), X(399), X(1138), X(1511)

K615 Thomson cubic's 's sister as in Table 58, isogonal transform of K047, spK(X20, X376)

X(2), X(3), X(4), X(64), X(154), X(3424), X(5373)

K616 Thomson nodal cubic with node H

X(4), X(69), X(376), X(1249), X(3421), X(5485), X(1617)*, X(3167)*

K617 Ortho nodal cubic with node H

X(4), X(20), X(68), X(254), X(315), X(2996), X(3436)

K618 Napoleon nodal cubic with node H

X(4), X(550), X(3471), X(3519)

K619 Bisectors nodal cubic with node H

X(4), X(40), X(3680), X(3869), X(224)*, X(1420)*, X(2217)*

K620 psK nodal cubic with node H, psK(H^3, X2052, H)

X(4), X(24), X(64), X(1093), X(1118), X(2207)

K621 pK(X393, X2052)

X(2), X(4), X(6), X(24), X(393), X(847), X(2052)

K622 tangential nodal cubic with node H

X(3), X(4), X(1614)

K623 pK(X7, X7÷X673)

X(2), X(7), X(8), X(279), X(291), X(508), X(516), X(673), X(3008)

K624 nK0+(X512, X30)

X(6), X(523), X(2574), X(2575), X(5968)

K625 nK0(X351, X542)

X(6), X(187), X(511), X(523), X(690), X(6137), X(6138)

K626 Thomson nodal cubic with node O, isogonal transform of K616

X(3), X(25), X(1073), X(1384), X(1617), X(3167), X(3420), X(3426)

K627 pK(X3199, X393)

X(6), X(53), X(216), X(393), X(1609), X(2165)

K628 nK+(X1990, X27, X1), a cubic having a pencil of circular polar conics

X(1), X(1784), X(2588), X(2589)

K629 psK(X512, X6, X54)

X(54), X(112), X(115), X(826)

K630 psK(X110, X110, X5), isogonal transform of K629

X(5), X(249), X(525), X(827)

K631 pK(X56, X7), Poncelet poristic pK

X(6), X(7), X(509), X(1486)

K632 pK(X604, X1), isogonal transform of K199

X(1), X(56), X(84), X(221), X(266), X(2067), X(2362)

K633 isogonal transform of K122

X(3), X(54), X(64), X(371), X(372), X(481)*, X(482)*

K634 nK(X6, X6, ?), orthoptic pedal cubic

---

K635 cK(#X1, X6), nK(X6, X6, X1)

X(1), X(876), X(885), X(2283), X(3573)

K636 pK(X340 x X69, X69), isotomic transform of K060

X(69), X(95), X(298), X(299), X(319), X(320), X(340), X(1273), X(1494), X(2992), X(2993), X(6148)

K637 pK(X1100, X2), complement of K455

X(1), X(2), X(9), X(79), X(81), X(553), X(1100), X(1125), X(1213), X(3647)

K638 psK(X125 x X476, X476, X3)

X(3), X(4), X(13), X(14), X(30), X(265), X(5627)

K639 psK(X526 x X250, X250, X3), isogonal transform of K638

X(3), X(4), X(15), X(16), X(74), X(186), X(1511)

K640 isogonal transform of K065, a focal cubic

X(6), X(15), X(16), X(23), X(111), X(2854)

K641 isogonal transform of O(X542), a circular K+ cubic

X(15), X(16), X(511), X(842)

K642 Grebe cubic's sister as in Table 58

X(4), X(206), X(1676), X(1677)

K643 spK(X3, X182), a stelloid related with the Grebe triangle

X(4), X(6), X(4846), X(206) x X(264)

K644 pK(X251, X83)

X(2), X(4), X(6), X(83), X(251), X(1176), X(1342), X(1343)

K645 Burek-Hutson central cubic

X(3), X(4), X(5), X(389), X(942), X(5777), X(5907), X(5908), X(5909), X(5910), X(5911)

K646 Montesdeoca cubic, pK(X97, X95)

X(2), X(3), X(54), X(69), X(95), X(96), X(97)

K647 pK(X2052, X264)

X(2), X(4), X(92), X(253), X(264), X(273), X(318), X(342), X(2052)

K648 Steiner-Neuberg cubic

X(5), X(20), X(30), X(1553), cusps of the Steiner deltoid

K649 Steiner-Thomson cubic

X(5), X(20), X(69), X(381), cusps of the Steiner deltoid

K650 Steiner-Darboux cubic

X(5), X(20), X(382), cusps of the Steiner deltoid

K651 Steiner-Nagel cubic

X(5), X(8), X(20), X(3091), cusps of the Steiner deltoid

K652 Steiner-Napoleon cubic

X(5), X(20), cusps of the Steiner deltoid

K653 pK(X385, X76), a circular cubic

X(76), X(83), X(98), X(732), X(1670), X(1671), X(1691), X(5976)

K654 psK(X1436, X280, X3)

X(3), X(8), X(84), X(164), X(221)

K655 pK(X6, X141)

X(1), X(2), X(6), X(141), X(251), X(2896), X(2916), X(3961), X(7194)

K656 Bataille acnodal cubic

X(2), X(3081)

K657 a nodal cubic related with Q101

X(2), X(3), X(76), X(277), X(1340), X(1341)

K658 cK(#X3, X1993), nK(X577, X1993, X3)

X(3)

K659 pK(X2, X6)

X(2), X(6), X(76), X(194), X(2998)

K660 Lozada cubic

X(7), X(320), X(527), X(903), X(3254)

K661 pK(X6, X513)

X(1), X(100), X(513), X(1054)

K662 nK(X6, X37, X100)

X(100), X(513)

K663 pK(X4, X2)

X(2), X(4), X(253), X(1249)

K664 spK(X550, X548), isogonal transform of K665

X(3), X(4), X(83), X(550)*

K665 spK(X3, X548), a stelloid related with the X5-OAP points

X(3), X(4), X(39), X(550)

K666 L(X1) in the paper "Another kind of Lemoine cubics"

X(1), X(65), X(946), X(2089)

K667 L(X40) in the paper "Another kind of Lemoine cubics"

X(10), X(40), X(188), X(3057)

K668 pK(X6, X265)

X(1), X(5), X(30), X(54), X(74), X(186), X(265)

K669 nK(X1989, X328 x X523, X4), spK(X3, X125), a nK60+, a stelloid

X(4), X(74), X(265)

K670 psK(X4 x X2165, X5392, X4), spK(X3, midpoint X3-X68), a stelloid

X(4), X(26), X(64), X(68), X(847)

K671 pK(X53, X2)

X(2), X(4), X(5), X(53), X(216), X(1249), X(2052)

K672 pK(X115, X1)

X(1), X(11), X(12), X(523), X(1109), X(2588), X(2589), X(2616), X(2618)

K673 pK(X1914, X6)

X(1), X(6), X(43), X(81), X(238), X(239), X(256), X(291), X(294), X(1580), X(2068), X(2069), X(2238), X(2665)

K674 pK(X324, X264)

X(2), X(4), X(5), X(264), X(311), X(324), X(847)

K675 pK(X4, X4 x X1975)

X(6), X(69), X(193), X(253), X(264), X(393), X(1249), X(2998), X(3164), X(3186)

K676 nK(X4, X458, X98)

X(98), X(297), X(523), X(648), X(1113), X(1114), X(2592), X(2593)

K677 pK(X4, X458)

X(2), X(4), X(6), X(262), X(264), X(458), X(1007)

K678 pK(X2207, X393)

X(6), X(19), X(393), X(1609), X(3068), X(3069), X(5412), X(5413)

K679 Spieker-Schiffler cubic

X(4), X(10), X(21), X(35), X(40), X(56), X(90), X(267), X(2218), X(2915)

K680 Fuhrmann perspector cubic

X(3), X(8), X(46), X(58), X(65), X(79), X(84), X(191), X(1782)

K681 Fuhrmann-Feuerbach focal cubic

X(1), X(4), X(36), X(80), X(517), X(953)

K682 Fuhrmann-Feuerbach K+ cubic

X(1), X(4), X(80), X(484), X(502), X(517), X(1263), X(2687)

K683 a Fuhrmann-Feuerbach cubic

X(1), X(4), X(80), X(92), X(243), X(517), X(917), X(1754)

K684 a Fuhrmann-Feuerbach cubic

X(1), X(4), X(80), X(517), X(2716)

K685 a Fuhrmann-Feuerbach cubic

X(1), X(3), X(4), X(80), X(102), X(517)

K686 nK60(X6, R686, X2), an equilateral cubic

X(2), X(6)

K687 a cuspidal cubic related with equilateral cubics

X(523)

K688 nK(X6,X351, X2)

X(2), X(6), X(5969), X(5970), Brocard points

K689 nK(X6,X1633, X1), cK(#X1, X1633)

X(1), X(2), X(6), X(241), X(294), X(948), X(949), X(2303), X(2303)*

K690 pK(X2165, X68)

X(4), X(68), X(485), X(486), X(637), X(638)

K691 pK(X19, X4)

X(1), X(4), X(46), X(3157)*

K692 pK(X6, X8)

X(1), X(8), X(40), X(56), X(84), X(2122), X(2123)

K693 psK(X32, X6, X2)

X(2), X(184), X(3168)

K694 psK(X512 x P694, P694, ?))

--

K695 pK(X6, aX1553)

X(1), X(30), X(74), X(477), X(5663)

K696 ETC second cubic, nK(X42, X190 x X388, X6)

X(6), X(7), X(8), X(9), X(10), X(19), X(65), X(72), X(1193), X(1334), X(1400)

K697 nK(X8, X4561, X2)

X(2), X(7), X(8), X(9), X(10), X(19), X(75), X(333), X(346), X(3718)

K698 Steinhaus cubic

X(3), X(69), X(74), X(376), X(468), X(3564), X(6090), X(6091), X(1351)*

K699 pK(X385, X5989)

X(98), X(147), X(1281), X(1916), X(4027), X(5976), X(5989)

K700 complement of K656

X(2)

K701 pK(X25, X22)

X(2), X(22), X(25)

K702 psK(X1125, X75, X1)

X(1), X(8), X(79), X(274), X(1125), X(4647)

K703 a cubic related with the Thomson triangle

--

K704 Pappus cubic, pK(X6, X6179)

X(1), X(32), X(76), X(3557), X(3558), X(6177), X(6178), X(6179)

K705 isogonal transform of K353

X(2), X(6), X(98), X(182), X(187), X(385), X(598), foci of the Steiner in-ellipse

K706 spK(X3543, X2), a central cubic

X(3), X(4), X(20), X(3543)*, foci of the Steiner in-ellipse

K707 pK(X3, X193), a central cubic

X(6), X(69), X(193)

K708 spK(X3, X6), a stelloid

X(4), X(1344), X(1345), X(1351)

K709 pK(X6525, X4), pK(X4 x X1249, X4)

X(4), X(278), X(1249)

K710 psK(X55, X8, X4), spK(X7, X9)

X(4), X(9), X(40), X(55), X(57), X(144)

K711 psK(X184, X20, X4)

X(4), X(6), X(222), X(1498), X(1660), X(2192)

K712 psK(X55, X329, X1)

X(1), X(4), X(1490)

K713 psK(X7 x X221, X7, X1)

X(1), X(4), X(222), X(223), X(269), X(347)

K714 spK(X3, ?), a stelloid

X(4)

K715 Steiner circum-elliptic cubic

X(2), X(253), X(287), X(671), X(1503), foci of the Steiner circum-ellipse

K716 Mandart circum-elliptic cubic

X(9), X(57), X(517), X(1156), X(2161)

K717 pK(X6, X3218)

X(1), X(9), X(44), X(57), X(88), X(104), X(517), X(2161), X(3218)

K718 pK(X297, X4)

X(2), X(4), X(114), X(193), X(264), X(287), X(297), X(325), X(511), X(1916)

K719 pK(X2963, X5)

X(5), X(252)

K720 pK(X37, X5080)

X(4), X(12), X(21), X(72), X(80), X(191), X(502), X(758), X(5080), X(6326), X(1325)*, X(2948)*

K721 nK(X6, X1, X101)

X(101), X(514)

K722 Steiner equilateral trefoil

X(5), X(3134)

K723 anticomplement of K722

X(3)

K724 psK(X1989 x X265, X94, X265), a nodal stelloid

X(74), X(265), X(5961), X(6344)

K725 Neuberg strophoid

X(3), X(30), X(110), X(1157), X(2080)

K726 pkT(X6), see K024

X(6)

K727 pkT(X3), see K024

X(2), X(3)

K728 pkT(X23), see K024

X(2), X(3), X(23), X(111), X(187), X(2930), X(3098)

K729 Grebe-Steiner cubic, spK(X599, X2)

X(2), X(6), X(1383)

K730 a circular cubic related with K024

X(6), X(15), X(16), X(111), X(1383), X(2930)

K731 spK(X39, midpoint X6-X39)

X(6), X(83)

K732 Neuberg isogonal nK, a cubic through the points Ua, Ub, Uc

---

K733 Fermat-Napoleon circular cubic

X(2), X(13), X(14), X(523)

K734 nK(X3, X6, X2)

X(2), X(3), X(4230)

K735 CT-isogonal transform of K078

X(3), X(182), X(3098), X(8666), X(8715)

K736 CN-isogonal transform of K735

X(3), X(40), X(376), X(7709)

K737 a cuspidal cubic of CL037

X(3), X(4), X(5662)

K738 pK(X76, X3978)

X(2), X(6), X(75), X(76), X(290), X(325), X(698), X(1502), X(1916), X(3978)

K739 pK(X385, X6)

X(2), X(6), X(83), X(194), X(239), X(287), X(385), X(732), X(894), X(1916), X(3225), X(3978)

K740 nK0(X385, X6)

X(2), X(99), X(385), X(804)

K741 cK(#X523, X525)

X(30), X(325), X(523), X(1312), X(1313), X(1552)

K742 a nodal cubic similar to K461

X(1), X(5), X(155), X(185)

K743 pK(X76, X9230), isotomic transform of K020

X(6), X(69), X(75), X(141), X(264), X(308), X(1031), X(1502), X(2998), X(9230)

K744 pK(X75, X1909), isotomic transform of K132

X(1), X(8), X(10), X(76), X(85), X(257), X(274), X(330), X(1655), X(1909), X(6376)

K745 Mid-arc cevian cubic, pk()

X(1), X(2), X(7)

K746 Mid-arc anticevian cubic, pk()

X(1), X(177), X(234)

K747 Tangential mid-arc cevian cubic, pk(X7 x X177, X7)

X(7), X(174), X(177), X(234), X(2089), X(2091), X(7057)

K748 Tangential mid-arc anticevian cubic, pk(X174 x X7707, X174)

X(1), X(173), X(174), X(177), X(236), X(7707)

K749 pK(X1 x X4303, X1)

X(1), X(3), X(58), X(500), X(501), X(942), X(3157), X(4303), X(7100)

K750 pK(X213, X40)

X(19), X(40), X(55), X(64), X(65), X(71), X(2357), X(3197), X(3198), X(8802), X(8803)

K751 pK(X6, X9855)

X(1), X(3), X(4), X(187), X(574), X(598), X(671), X(8591), X(9855)

K752 complement of K636

X(6), X(44), X(231), X(233), X(395), X(396), X(1100), X(3163), X(3284), X(6128)

K753 anticomplement of K060, a cubic through the points Ua, Ub, Uc

X(3), X(20), X(30), X(616), X(617), X(3648), X(6224)

K754 Γ(-2) in Table 52, isogonal transform of K755

X(2), X(6), X(17), X(18), X(141), X(9481)

K755 Γ(2) in Table 52, isogonal transform of K754

X(2), X(6), X(61), X(62), X(251), X(3629), X(9484)

K756 Γ(1 - 4 sin2 ω) in Table 52, isogonal transform of K757

X(2), X(6), X(98), X(184), X(232), X(262), X(385), X(7709)

K757 Γ(- 1 + 4 sin2 ω) in Table 52, isogonal transform of K756

X(2), X(6), X(182), X(264), X(287), X(511), X(694)

K758 isogonal transform of K002 with respect to the Thomson triangle

X(2), X(3), X(154), X(165), X(376), X(3576)

K759 spK(X381, X5)

X(2), X(3), X(4), X(3431), X(7607), X(9716), X(9717)

K760 pK(X31, X9)

X(1), X(6), X(9), X(56), X(84), X(165), X(198), X(365)

K761 pK(X41, X1)

X(1), X(6), X(9), X(55), X(259), X(3158), X(3445)

K762 spK(X2, X5)

X(3), X(4), X(6), X(381), X(576), X(9214)

K763 pK(X6, X1350)

X(1), X(20), X(64), X(1350), X(3424), X(4334), X(5373), X(6194), X(7220)

K764 Darboux-Thomson cubic

X(2), X(3), X(6), X(376), X(1350), X(5373), X(9740), X(9741)

K765 Thomson-Thomson cubic

X(2), X(3), X(3524), X(5024), X(5373), X(5646)

K766 pK(X75, X350)

X(1), X(2), X(75), X(76), X(335), X(350), X(726), X(2481), X(3912), X(7155)

K767 pK(X350, X75)

X(2), X(8), X(75), X(239), X(256), X(274), X(291), X(350), X(740), X(1281), X(2481), X(3978), X(6650)

K768 pK(X335, X291)

X(2), X(10), X(75), X(239), X(291), X(330), X(335), X(726), X(894), X(1916), X(9436)

K769 pK(X291, X335)

X(1), X(2), X(7), X(37), X(291), X(335), X(350), X(518), X(694), X(1909), X(3509), X(4876), X(6542), X(9505)

K770 pK(X239, X1)

X(1), X(2), X(86), X(192), X(239), X(257), X(335), X(350), X(385), X(740), X(3226), X(4366), X(7168)

K771 pK(X560, X1914)

X(1), X(6), X(31), X(32), X(727), X(1326), X(1403), X(1438), X(1911), X(1914), X(2223)

K772 pK(X31 x X292, X292)

X(6), X(31), X(56), X(171), X(213), X(238), X(292), X(741), X(1911), X(2223), X(9468)

K773 pK(X31 x X238, X31)

X(6), X(31), X(58), X(238), X(292), X(727), X(893), X(1691), X(1914), X(2176), X(2195), X(3747)

K774 pK(X2210, X1)

X(1), X(6), X(55), X(81), X(105), X(238), X(385), X(904), X(1429), X(1911), X(1914), X(3512), X(3747), X(4366), X(8298)

K775 pK(X1922, X1911)

X(1), X(6), X(42), X(172), X(292), X(694), X(741), X(1458), X(1911), X(1914), X(2162), X(3009), X(3510)

K776 pK(X297, X98)

X(2), X(3), X(69), X(98), X(287), X(290), X(297), X(385), X(2996), X(3504), X(3564), X(9308)

K777 pK(X98, X287)

X(2), X(4), X(6), X(98), X(253), X(287), X(290), X(325), X(401), X(1503), X(1975), X(1988), X(9476)

K778 pK(X325, X69)

X(2), X(20), X(69), X(76), X(98), X(297), X(325), X(511), X(1972), X(9307)

K779 pK(X69, X325)

X(2), X(4), X(69), X(147), X(287), X(325), X(441), X(3564), X(3926), X(3978), X(8781)

K780 pK(X4, X297)

X(2), X(4), X(69), X(98), X(230), X(297), X(393), X(694), X(1503), X(1987), X(6330), X(9473)

K781 pK(X3 x X1976, X1976)

X(3), X(6), X(98), X(184), X(232), X(248), X(1691), X(1968), X(1976), X(2065), X(8770)

K782 pK(X2211, X25)

X(4), X(6), X(25), X(232), X(237), X(248), X(511), X(694), X(3053), X(3186), X(3563)

K783 pK(X237, X3)

X(2), X(3), X(6), X(154), X(232), X(237), X(511), X(1297), X(1976), X(1987), X(3164), X(9292), X(9475)

K784 pK(X25 x X248, X248)

X(6), X(25), X(32), X(64), X(98), X(248), X(511), X(1971), X(1976), X(9306)

K785 pK(X1974, X232)

X(3), X(6), X(25), X(232), X(419), X(1692), X(1976), X(2207), X(3563), X(9468)

K786 pK(X184, X511)

X(3), X(6), X(25), X(248), X(385), X(394), X(401), X(511), X(1297), X(2987), X(8779)

K787 pK(X9468, X9468)

X(2), X(6), X(39), X(232), X(292), X(694), X(733), X(893), X(1691), X(1915), X(3224), X(3229), X(9468)

K788 pK(X32 x X385, X32)

X(6), X(32), X(172), X(248), X(251), X(385), X(694), X(695), X(699), X(1613), X(1691), X(1914), X(8623)

K789 pK(X1501, X1691)

X(2), X(6), X(31), X(32), X(237), X(699), X(1501), X(1691), X(1976), X(9468)

K790 pK(X7735, X6)

X(2), X(4), X(6), X(194), X(262), X(3168), X(6776), X(7735), X(9307), X(9755)

K791 pK(X263, X262)

X(2), X(4), X(6), X(262), X(263), X(1689), X(1690), X(3148), X(7774)

K792 a circular nodal cubic related with the involution Psi

X(2), X(111), X(186), X(187), X(352), X(538), X(1340), X(1341), X(8426), X(8427)

K793 a circular nodal cubic related with the involution Psi

X(2), X(6), X(111), X(1340), X(1341), X(5622), X(5969)

K794 Kiepert-Brocard 1 strophoid

X(2), X(110), X(524), X(858), X(5211), X(5978), X(5979)

K795 Jerabek-Thomson strophoid

X(2), X(3), X(110), X(111), X(1340), X(1341), X(2782), X(5968), X(9159), X(9828)

K796 Jerabek-Grebe strophoid

X(2), X(110), X(111), X(5108), X(5980), X(5981), X(9828), X(9829), X(9830), X(9832)

K797 nK(X6, X3329, X99)

X(99), X(385), X(512), X(694)

K798 a focal cubic related with K463, K725

X(3), X(30), X(110), X(140), X(1385)

K799 a focal cubic related with K463, K725

X(3), X(4), X(30), X(110)

K800 a focal cubic related with K463, K725

X(1), X(3), X(5), X(30), X(191), X(399), X(5127), X(5535), X(6326), X(7701)

K801 circumcenter Kiepert cubic

X(2), X(5), X(182), X(524), X(627), X(628), X(641), X(642), X(3413), X(3414), X(7617), X(8149), X(8150)

K802 isogonal transform of K803, a member of the pencil K001-K505

X(13), X(14), X(15), X(16), X(30), X(74), X(262), X(511), X(690), X(1113), X(1114)

K803 isogonal transform of K802, a member of the pencil K001-K505

X(13), X(14), X(15), X(16), X(30), X(74), X(98), X(182), X(691), X(2574), X(2575), X(9140), X(9976)

K804 spK(X4, X381)

X(2), X(3), X(4), X(3167), X(7612), X(10002)*

K805 a central cubic related with the X6-OAP points

X(4), X(6), X(39), X(69), X(141), X(1350)

K806 a circular cubic related with the X1-OAP points

X(1), X(4), X(40), X(516), X(972), X(1155), X(1156), X(3160)

K807 pK(X2331, X4), a cubic related with the X1-OAP points

X(1), X(4), X(40), X(46), X(2910)

K808 O(X376), a circular cubic related with the X2-OAP points

X(4), X(13), X(14), X(30), X(376)

K809 Droz-Farny cubic DF(X20) with focus X(113), a circular cubic related with the X4-OAP points

X(4), X(20), X(30), X(671), X(1294)

K810 spK(X376, X3), a cubic related with the X3-OAP points

X(2), X(3), X(4), X(3426)

K811 a circular cubic related with the X3-OAP points

X(3), X(4), X(30), X(74), X(187), X(5609), X(6328)

K812 spK(X3524, X2), a cubic related with the X3-OAP points

X(3), X(4), X(3531), X(3545)

K813 spK(X631, X1656), psK(X3527, X8797, X3), a cubic related with the X3-OAP points

X(3), X(4), X(3531), X(3545)

K814 spK(X3529, X1657), a central cubic related with the X3-OAP points

X(3), X(4), X(20), X(3529)*

K815 spK(?, X1158), a weak cubic related with the X3-OAP points

X(7), X(40), X(46), X(84), X(90), X(999)

K816 Euler-Steiner focal cubic

X(2), X(3), X(4), X(74), X(110), X(125), X(131), X(541)

K817 a focal cubic

X(1), X(2), X(3), X(4), X(9), X(100), X(104), X(119), X(123), X(528)

K818 a focal cubic

X(2), X(3), X(4), X(6), X(74), X(110), X(113), X(122), X(542)

K819 a circular cubic related with the X6-OAP points

X(6), X(69), X(74), X(524), X(6094)

K820 a cubic related with the X6-OAP points

X(3), X(4), X(64), X(182), X(1350)

K821 a central cubic related with the X5-OAP points

X(4), X(140), X(550)

K822 a cubic related with the X5-OAP points

X(54), X(523), X(1511), X(2574), X(2575)

K823 a cubic related with the X5-OAP points

X(3), X(39), X(182), X(427)

K824 a circular cubic related with the X20-OAP points

X(4), X(20), X(98), X(468), X(1503)

K825 a circular cubic related with the X1-OAP points

X(1), X(20), X(80), X(84), X(515), X(1295), X(1323), X(7952)

K826 a circular cubic related with the X40-OAP points

X(1), X(4), X(40), X(104), X(515), X(1319), X(8074)

K827 spK(X3, ?), a stelloid related with the X4-OAP points

X(4), X(20), X(550)

K828 psK(X694, X694, X384)

X(384), X(698), X(733), X(1916), X(2076), X(3224), X(5000), X(5001)

K829 nK(X232, X4, X112)

X(112), X(2799), X(4235), X(5000), X(5001), X(8430)

K830 psK(X1, X7, X1), a central cubic

X(1), X(8), X(145), X(2137)

K831 a central focal cubic

X(1), X(80), X(519), X(2718), X(7972)

K832 pK(X6, X631)

X(1), X(3), X(4), X(631), X(3338), X(3527), X(7162)

K833 Thomson central stelloid

X(2), X(3), X(381)

K834 Neuberg-Thomson cubic

X(2), X(3), X(30), X(110), X(5373), X(10620)

K835 spK(X1352, X5)

X(3), X(4), X(6), X(32), X(1995), X(3425), X(8743)

K836 pK(X39, X2)

X(2), X(3), X(6), X(39), X(141), X(427), X(5403), X(5404)

K837 a circular cubic related with Table 57

X(1), X(3), X(147), X(194), X(511), X(2930), X(7772)

K838 pK(X6, X1)'s sister as in Table 58

X(4)

K839 nK(X112, X2407, X4), K316's sister as in Table 58

X(4), X(110), X(1113), X(1114)

K840 pK(X6, X185)'s sister as in Table 58

X(4), X(2883)

 

to Part 4