class leader: y² + 1xy + 1y = x³ + 1x² + 1x

Sr no.	class members	# points	points
1	y2 + 1xy + 1y = x3 + 1x2 + 1x	7	(0,0) (0,4) (1,1) (1,2) (2,1) (4,2) (4,3)
2	y2 + 1xy + 3y = x3 + 1x2 + 3	7	(0,3) (0,4) (1,0) (1,1) (2,0) (4,1) (4,2)
3	y2 + 1xy = x3 + 1x2 + 4x + 4	7	(0,2) (0,3) (1,0) (1,4) (2,4) (4,0) (4,1)
4	y2 + 1xy + 2y = x3 + 1x2 + 3x + 3	7	(0,1) (0,2) (1,3) (1,4) (2,3) (4,0) (4,4)
5	y2 + 1xy + 4y = x3 + 1x2 + 2x	7	(0,0) (0,1) (1,2) (1,3) (2,2) (4,3) (4,4)
6	y2 + 1xy + 2y = x3 + 4x2 + 1x + 3	7	(0,1) (0,2) (1,1) (3,2) (3,3) (4,0) (4,4)
7	y2 + 1xy + 4y = x3 + 4x2	7	(0,0) (0,1) (1,0) (3,1) (3,2) (4,3) (4,4)
8	y2 + 1xy + 1y = x3 + 4x2 + 4x	7	(0,0) (0,4) (1,4) (3,0) (3,1) (4,2) (4,3)
9	y2 + 1xy + 3y = x3 + 4x2 + 3x + 3	7	(0,3) (0,4) (1,3) (3,0) (3,4) (4,1) (4,2)
10	y2 + 1xy = x3 + 4x2 + 2x + 4	7	(0,2) (0,3) (1,2) (3,3) (3,4) (4,0) (4,1)
11	y2 + 1xy + 3y = x3 + 2x2 + 2x + 4	7	(0,1) (2,2) (2,3) (3,0) (3,4) (4,1) (4,2)
12	y2 + 1xy = x3 + 2x2 + 1x	7	(0,0) (2,1) (2,2) (3,3) (3,4) (4,0) (4,1)
13	y2 + 1xy + 2y = x3 + 2x2 + 4	7	(0,4) (2,0) (2,1) (3,2) (3,3) (4,0) (4,4)
14	y2 + 1xy + 4y = x3 + 2x2 + 4x + 1	7	(0,3) (2,0) (2,4) (3,1) (3,2) (4,3) (4,4)
15	y2 + 1xy + 1y = x3 + 2x2 + 3x + 1	7	(0,2) (2,3) (2,4) (3,0) (3,1) (4,2) (4,3)
16	y2 + 1xy + 4y = x3 + 4x + 4	7	(1,2) (1,3) (2,0) (2,4) (3,1) (3,2) (4,1)
17	y2 + 1xy + 1y = x3 + 3x + 4	7	(1,1) (1,2) (2,3) (2,4) (3,0) (3,1) (4,0)
18	y2 + 1xy + 3y = x3 + 2x + 2	7	(1,0) (1,1) (2,2) (2,3) (3,0) (3,4) (4,4)
19	y2 + 1xy = x3 + 1x + 3	7	(1,0) (1,4) (2,1) (2,2) (3,3) (3,4) (4,3)
20	y2 + 1xy + 2y = x3 + 2	7	(1,3) (1,4) (2,0) (2,1) (3,2) (3,3) (4,2)
21	y2 + 1xy = x3 + 3x2 + 2x + 4	7	(0,2) (0,3) (1,0) (1,4) (2,1) (2,2) (3,1)
22	y2 + 1xy + 2y = x3 + 3x2 + 1x + 3	7	(0,1) (0,2) (1,3) (1,4) (2,0) (2,1) (3,0)
23	y2 + 1xy + 4y = x3 + 3x2	7	(0,0) (0,1) (1,2) (1,3) (2,0) (2,4) (3,4)
24	y2 + 1xy + 1y = x3 + 3x2 + 4x	7	(0,0) (0,4) (1,1) (1,2) (2,3) (2,4) (3,3)
25	y2 + 1xy + 3y = x3 + 3x2 + 3x + 3	7	(0,3) (0,4) (1,0) (1,1) (2,2) (2,3) (3,2)
26	y2 + 3xy + 1y = x3 + 4x2	7	(0,0) (0,4) (1,0) (1,1) (2,4) (4,3) (4,4)
27	y2 + 3xy + 3y = x3 + 4x2 + 2x + 3	7	(0,3) (0,4) (1,0) (1,4) (2,3) (4,2) (4,3)
28	y2 + 3xy = x3 + 4x2 + 4x + 4	7	(0,2) (0,3) (1,3) (1,4) (2,2) (4,1) (4,2)
29	y2 + 3xy + 2y = x3 + 4x2 + 1x + 3	7	(0,1) (0,2) (1,2) (1,3) (2,1) (4,0) (4,1)
30	y2 + 3xy + 4y = x3 + 4x2 + 3x	7	(0,0) (0,1) (1,1) (1,2) (2,0) (4,0) (4,4)
31	y2 + 3xy + 2y = x3 + 2x2 + 4x + 3	7	(0,1) (0,2) (1,0) (3,0) (3,4) (4,0) (4,1)
32	y2 + 3xy + 4y = x3 + 2x2 + 1x	7	(0,0) (0,1) (1,4) (3,3) (3,4) (4,0) (4,4)
33	y2 + 3xy + 1y = x3 + 2x2 + 3x	7	(0,0) (0,4) (1,3) (3,2) (3,3) (4,3) (4,4)
34	y2 + 3xy + 3y = x3 + 2x2 + 3	7	(0,3) (0,4) (1,2) (3,1) (3,2) (4,2) (4,3)
35	y2 + 3xy = x3 + 2x2 + 2x + 4	7	(0,2) (0,3) (1,1) (3,0) (3,1) (4,1) (4,2)
36	y2 + 3xy + 3y = x3 + 4x + 4	7	(0,1) (2,0) (2,1) (3,1) (3,2) (4,2) (4,3)
37	y2 + 3xy = x3 + 1x	7	(0,0) (2,0) (2,4) (3,0) (3,1) (4,1) (4,2)
38	y2 + 3xy + 2y = x3 + 3x + 4	7	(0,4) (2,3) (2,4) (3,0) (3,4) (4,0) (4,1)
39	y2 + 3xy + 4y = x3 + 1	7	(0,3) (2,2) (2,3) (3,3) (3,4) (4,0) (4,4)
40	y2 + 3xy + 1y = x3 + 2x + 1	7	(0,2) (2,1) (2,2) (3,2) (3,3) (4,3) (4,4)
41	y2 + 3xy + 4y = x3 + 3x2 + 4	7	(1,1) (1,2) (2,2) (2,3) (3,3) (3,4) (4,2)
42	y2 + 3xy + 1y = x3 + 3x2 + 2x + 4	7	(1,0) (1,1) (2,1) (2,2) (3,2) (3,3) (4,1)
43	y2 + 3xy + 3y = x3 + 3x2 + 4x + 2	7	(1,0) (1,4) (2,0) (2,1) (3,1) (3,2) (4,0)
44	y2 + 3xy = x3 + 3x2 + 1x + 3	7	(1,3) (1,4) (2,0) (2,4) (3,0) (3,1) (4,4)
45	y2 + 3xy + 2y = x3 + 3x2 + 3x + 2	7	(1,2) (1,3) (2,3) (2,4) (3,0) (3,4) (4,3)
46	y2 + 3xy = x3 + 1x2 + 2x + 4	7	(0,2) (0,3) (1,3) (1,4) (2,0) (2,4) (3,3)
47	y2 + 3xy + 2y = x3 + 1x2 + 4x + 3	7	(0,1) (0,2) (1,2) (1,3) (2,3) (2,4) (3,2)
48	y2 + 3xy + 4y = x3 + 1x2 + 1x	7	(0,0) (0,1) (1,1) (1,2) (2,2) (2,3) (3,1)
49	y2 + 3xy + 1y = x3 + 1x2 + 3x	7	(0,0) (0,4) (1,0) (1,1) (2,1) (2,2) (3,0)
50	y2 + 3xy + 3y = x3 + 1x2 + 3	7	(0,3) (0,4) (1,0) (1,4) (2,0) (2,1) (3,4)
51	y2 + 1y = x3 + 4x	7	(0,0) (0,4) (1,0) (1,4) (2,2) (4,0) (4,4)
52	y2 + 3y = x3 + 4x + 3	7	(0,3) (0,4) (1,3) (1,4) (2,1) (4,3) (4,4)
53	y2 = x3 + 4x + 4	7	(0,2) (0,3) (1,2) (1,3) (2,0) (4,2) (4,3)
54	y2 + 2y = x3 + 4x + 3	7	(0,1) (0,2) (1,1) (1,2) (2,4) (4,1) (4,2)
55	y2 + 4y = x3 + 4x	7	(0,0) (0,1) (1,0) (1,1) (2,3) (4,0) (4,1)
56	y2 + 2y = x3 + 3x2 + 2x + 3	7	(0,1) (0,2) (1,4) (3,1) (3,2) (4,1) (4,2)
57	y2 + 4y = x3 + 3x2 + 2x	7	(0,0) (0,1) (1,3) (3,0) (3,1) (4,0) (4,1)
58	y2 + 1y = x3 + 3x2 + 2x	7	(0,0) (0,4) (1,2) (3,0) (3,4) (4,0) (4,4)
59	y2 + 3y = x3 + 3x2 + 2x + 3	7	(0,3) (0,4) (1,1) (3,3) (3,4) (4,3) (4,4)
60	y2 = x3 + 3x2 + 2x + 4	7	(0,2) (0,3) (1,0) (3,2) (3,3) (4,2) (4,3)
61	y2 + 3y = x3 + 1x2 + 1x + 4	7	(0,1) (2,3) (2,4) (3,3) (3,4) (4,3) (4,4)
62	y2 = x3 + 1x2 + 1x	7	(0,0) (2,2) (2,3) (3,2) (3,3) (4,2) (4,3)
63	y2 + 2y = x3 + 1x2 + 1x + 4	7	(0,4) (2,1) (2,2) (3,1) (3,2) (4,1) (4,2)
64	y2 + 4y = x3 + 1x2 + 1x + 1	7	(0,3) (2,0) (2,1) (3,0) (3,1) (4,0) (4,1)
65	y2 + 1y = x3 + 1x2 + 1x + 1	7	(0,2) (2,0) (2,4) (3,0) (3,4) (4,0) (4,4)
66	y2 + 4y = x3 + 4x2 + 1x + 4	7	(1,0) (1,1) (2,0) (2,1) (3,0) (3,1) (4,3)
67	y2 + 1y = x3 + 4x2 + 1x + 4	7	(1,0) (1,4) (2,0) (2,4) (3,0) (3,4) (4,2)
68	y2 + 3y = x3 + 4x2 + 1x + 2	7	(1,3) (1,4) (2,3) (2,4) (3,3) (3,4) (4,1)
69	y2 = x3 + 4x2 + 1x + 3	7	(1,2) (1,3) (2,2) (2,3) (3,2) (3,3) (4,0)
70	y2 + 2y = x3 + 4x2 + 1x + 2	7	(1,1) (1,2) (2,1) (2,2) (3,1) (3,2) (4,4)
71	y2 = x3 + 2x2 + 2x + 4	7	(0,2) (0,3) (1,2) (1,3) (2,2) (2,3) (3,0)
72	y2 + 2y = x3 + 2x2 + 2x + 3	7	(0,1) (0,2) (1,1) (1,2) (2,1) (2,2) (3,4)
73	y2 + 4y = x3 + 2x2 + 2x	7	(0,0) (0,1) (1,0) (1,1) (2,0) (2,1) (3,3)
74	y2 + 1y = x3 + 2x2 + 2x	7	(0,0) (0,4) (1,0) (1,4) (2,0) (2,4) (3,2)
75	y2 + 3y = x3 + 2x2 + 2x + 3	7	(0,3) (0,4) (1,3) (1,4) (2,3) (2,4) (3,1)
76	y2 + 2xy + 1y = x3 + 4x2 + 3x	7	(0,0) (0,4) (1,3) (1,4) (2,0) (4,0) (4,1)
77	y2 + 2xy + 3y = x3 + 4x2 + 1x + 3	7	(0,3) (0,4) (1,2) (1,3) (2,4) (4,0) (4,4)
78	y2 + 2xy = x3 + 4x2 + 4x + 4	7	(0,2) (0,3) (1,1) (1,2) (2,3) (4,3) (4,4)
79	y2 + 2xy + 2y = x3 + 4x2 + 2x + 3	7	(0,1) (0,2) (1,0) (1,1) (2,2) (4,2) (4,3)
80	y2 + 2xy + 4y = x3 + 4x2	7	(0,0) (0,1) (1,0) (1,4) (2,1) (4,1) (4,2)
81	y2 + 2xy + 2y = x3 + 2x2 + 3	7	(0,1) (0,2) (1,3) (3,3) (3,4) (4,2) (4,3)
82	y2 + 2xy + 4y = x3 + 2x2 + 3x	7	(0,0) (0,1) (1,2) (3,2) (3,3) (4,1) (4,2)
83	y2 + 2xy + 1y = x3 + 2x2 + 1x	7	(0,0) (0,4) (1,1) (3,1) (3,2) (4,0) (4,1)
84	y2 + 2xy + 3y = x3 + 2x2 + 4x + 3	7	(0,3) (0,4) (1,0) (3,0) (3,1) (4,0) (4,4)
85	y2 + 2xy = x3 + 2x2 + 2x + 4	7	(0,2) (0,3) (1,4) (3,0) (3,4) (4,3) (4,4)
86	y2 + 2xy + 3y = x3 + 3x + 4	7	(0,1) (2,1) (2,2) (3,0) (3,1) (4,0) (4,4)
87	y2 + 2xy = x3 + 1x	7	(0,0) (2,0) (2,1) (3,0) (3,4) (4,3) (4,4)
88	y2 + 2xy + 2y = x3 + 4x + 4	7	(0,4) (2,0) (2,4) (3,3) (3,4) (4,2) (4,3)
89	y2 + 2xy + 4y = x3 + 2x + 1	7	(0,3) (2,3) (2,4) (3,2) (3,3) (4,1) (4,2)
90	y2 + 2xy + 1y = x3 + 1	7	(0,2) (2,2) (2,3) (3,1) (3,2) (4,0) (4,1)
91	y2 + 2xy + 4y = x3 + 3x2 + 2x + 4	7	(1,0) (1,4) (2,3) (2,4) (3,2) (3,3) (4,4)
92	y2 + 2xy + 1y = x3 + 3x2 + 4	7	(1,3) (1,4) (2,2) (2,3) (3,1) (3,2) (4,3)
93	y2 + 2xy + 3y = x3 + 3x2 + 3x + 2	7	(1,2) (1,3) (2,1) (2,2) (3,0) (3,1) (4,2)
94	y2 + 2xy = x3 + 3x2 + 1x + 3	7	(1,1) (1,2) (2,0) (2,1) (3,0) (3,4) (4,1)
95	y2 + 2xy + 2y = x3 + 3x2 + 4x + 2	7	(1,0) (1,1) (2,0) (2,4) (3,3) (3,4) (4,0)
96	y2 + 2xy = x3 + 1x2 + 2x + 4	7	(0,2) (0,3) (1,1) (1,2) (2,0) (2,1) (3,2)
97	y2 + 2xy + 2y = x3 + 1x2 + 3	7	(0,1) (0,2) (1,0) (1,1) (2,0) (2,4) (3,1)
98	y2 + 2xy + 4y = x3 + 1x2 + 3x	7	(0,0) (0,1) (1,0) (1,4) (2,3) (2,4) (3,0)
99	y2 + 2xy + 1y = x3 + 1x2 + 1x	7	(0,0) (0,4) (1,3) (1,4) (2,2) (2,3) (3,4)
100	y2 + 2xy + 3y = x3 + 1x2 + 4x + 3	7	(0,3) (0,4) (1,2) (1,3) (2,1) (2,2) (3,3)
101	y2 + 4xy + 1y = x3 + 1x2 + 2x	7	(0,0) (0,4) (1,2) (1,3) (2,3) (4,1) (4,2)
102	y2 + 4xy + 3y = x3 + 1x2 + 3x + 3	7	(0,3) (0,4) (1,1) (1,2) (2,2) (4,0) (4,1)
103	y2 + 4xy = x3 + 1x2 + 4x + 4	7	(0,2) (0,3) (1,0) (1,1) (2,1) (4,0) (4,4)
104	y2 + 4xy + 2y = x3 + 1x2 + 3	7	(0,1) (0,2) (1,0) (1,4) (2,0) (4,3) (4,4)
105	y2 + 4xy + 4y = x3 + 1x2 + 1x	7	(0,0) (0,1) (1,3) (1,4) (2,4) (4,2) (4,3)
106	y2 + 4xy + 2y = x3 + 4x2 + 3x + 3	7	(0,1) (0,2) (1,2) (3,0) (3,1) (4,3) (4,4)
107	y2 + 4xy + 4y = x3 + 4x2 + 4x	7	(0,0) (0,1) (1,1) (3,0) (3,4) (4,2) (4,3)
108	y2 + 4xy + 1y = x3 + 4x2	7	(0,0) (0,4) (1,0) (3,3) (3,4) (4,1) (4,2)
109	y2 + 4xy + 3y = x3 + 4x2 + 1x + 3	7	(0,3) (0,4) (1,4) (3,2) (3,3) (4,0) (4,1)
110	y2 + 4xy = x3 + 4x2 + 2x + 4	7	(0,2) (0,3) (1,3) (3,1) (3,2) (4,0) (4,4)
111	y2 + 4xy + 3y = x3 + 2x2 + 4	7	(0,1) (2,0) (2,4) (3,2) (3,3) (4,0) (4,1)
112	y2 + 4xy = x3 + 2x2 + 1x	7	(0,0) (2,3) (2,4) (3,1) (3,2) (4,0) (4,4)
113	y2 + 4xy + 2y = x3 + 2x2 + 2x + 4	7	(0,4) (2,2) (2,3) (3,0) (3,1) (4,3) (4,4)
114	y2 + 4xy + 4y = x3 + 2x2 + 3x + 1	7	(0,3) (2,1) (2,2) (3,0) (3,4) (4,2) (4,3)
115	y2 + 4xy + 1y = x3 + 2x2 + 4x + 1	7	(0,2) (2,0) (2,1) (3,3) (3,4) (4,1) (4,2)
116	y2 + 4xy + 4y = x3 + 3x + 4	7	(1,3) (1,4) (2,1) (2,2) (3,0) (3,4) (4,0)
117	y2 + 4xy + 1y = x3 + 4x + 4	7	(1,2) (1,3) (2,0) (2,1) (3,3) (3,4) (4,4)
118	y2 + 4xy + 3y = x3 + 2	7	(1,1) (1,2) (2,0) (2,4) (3,2) (3,3) (4,3)
119	y2 + 4xy = x3 + 1x + 3	7	(1,0) (1,1) (2,3) (2,4) (3,1) (3,2) (4,2)
120	y2 + 4xy + 2y = x3 + 2x + 2	7	(1,0) (1,4) (2,2) (2,3) (3,0) (3,1) (4,1)
121	y2 + 4xy = x3 + 3x2 + 2x + 4	7	(0,2) (0,3) (1,0) (1,1) (2,3) (2,4) (3,4)
122	y2 + 4xy + 2y = x3 + 3x2 + 3x + 3	7	(0,1) (0,2) (1,0) (1,4) (2,2) (2,3) (3,3)
123	y2 + 4xy + 4y = x3 + 3x2 + 4x	7	(0,0) (0,1) (1,3) (1,4) (2,1) (2,2) (3,2)
124	y2 + 4xy + 1y = x3 + 3x2	7	(0,0) (0,4) (1,2) (1,3) (2,0) (2,1) (3,1)
125	y2 + 4xy + 3y = x3 + 3x2 + 1x + 3	7	(0,3) (0,4) (1,1) (1,2) (2,0) (2,4) (3,0)
126	y2 + 3xy + 2y = x3 + 4x2 + 1x	7	(0,0) (0,3) (1,1) (1,4) (3,2) (4,2) (4,4)
127	y2 + 3xy + 1y = x3 + 4x2 + 2	7	(0,1) (0,3) (1,2) (1,4) (3,0) (4,0) (4,2)
128	y2 + 3xy = x3 + 4x2 + 4x + 1	7	(0,1) (0,4) (1,0) (1,2) (3,3) (4,0) (4,3)
129	y2 + 3xy + 4y = x3 + 4x2 + 3x + 2	7	(0,2) (0,4) (1,0) (1,3) (3,1) (4,1) (4,3)
130	y2 + 3xy + 3y = x3 + 4x2 + 2x	7	(0,0) (0,2) (1,1) (1,3) (3,4) (4,1) (4,4)
131	y2 + 3xy + 4y = x3 + 1x2 + 1x + 2	7	(0,2) (0,4) (1,0) (1,3) (2,1) (2,4) (4,2)
132	y2 + 3xy + 3y = x3 + 1x2	7	(0,0) (0,2) (1,1) (1,3) (2,2) (2,4) (4,0)
133	y2 + 3xy + 2y = x3 + 1x2 + 4x	7	(0,0) (0,3) (1,1) (1,4) (2,0) (2,2) (4,3)
134	y2 + 3xy + 1y = x3 + 1x2 + 3x + 2	7	(0,1) (0,3) (1,2) (1,4) (2,0) (2,3) (4,1)
135	y2 + 3xy = x3 + 1x2 + 2x + 1	7	(0,1) (0,4) (1,0) (1,2) (2,1) (2,3) (4,4)
136	y2 + 3xy + 1y = x3 + 3x2 + 2x + 1	7	(0,2) (1,2) (1,4) (2,0) (2,3) (3,1) (3,4)
137	y2 + 3xy = x3 + 3x2 + 1x	7	(0,0) (1,0) (1,2) (2,1) (2,3) (3,2) (3,4)
138	y2 + 3xy + 4y = x3 + 3x2 + 1	7	(0,3) (1,0) (1,3) (2,1) (2,4) (3,0) (3,2)
139	y2 + 3xy + 3y = x3 + 3x2 + 4x + 4	7	(0,1) (1,1) (1,3) (2,2) (2,4) (3,0) (3,3)
140	y2 + 3xy + 2y = x3 + 3x2 + 3x + 4	7	(0,4) (1,1) (1,4) (2,0) (2,2) (3,1) (3,3)
141	y2 + 3xy + 3y = x3 + 4x + 1	7	(1,2) (2,2) (2,4) (3,0) (3,3) (4,1) (4,4)
142	y2 + 3xy + 2y = x3 + 3x + 1	7	(1,0) (2,0) (2,2) (3,1) (3,3) (4,2) (4,4)
143	y2 + 3xy + 1y = x3 + 2x + 3	7	(1,3) (2,0) (2,3) (3,1) (3,4) (4,0) (4,2)
144	y2 + 3xy = x3 + 1x + 2	7	(1,1) (2,1) (2,3) (3,2) (3,4) (4,0) (4,3)
145	y2 + 3xy + 4y = x3 + 3	7	(1,4) (2,1) (2,4) (3,0) (3,2) (4,1) (4,3)
146	y2 + 3xy = x3 + 2x2 + 2x + 1	7	(0,1) (0,4) (2,2) (3,2) (3,4) (4,0) (4,3)
147	y2 + 3xy + 4y = x3 + 2x2 + 1x + 2	7	(0,2) (0,4) (2,0) (3,0) (3,2) (4,1) (4,3)
148	y2 + 3xy + 3y = x3 + 2x2	7	(0,0) (0,2) (2,3) (3,0) (3,3) (4,1) (4,4)
149	y2 + 3xy + 2y = x3 + 2x2 + 4x	7	(0,0) (0,3) (2,1) (3,1) (3,3) (4,2) (4,4)
150	y2 + 3xy + 1y = x3 + 2x2 + 3x + 2	7	(0,1) (0,3) (2,4) (3,1) (3,4) (4,0) (4,2)
151	y2 + 4xy + 2y = x3 + 1x2	7	(0,0) (0,3) (1,1) (1,3) (3,3) (4,0) (4,2)
152	y2 + 4xy + 1y = x3 + 1x2 + 2x + 2	7	(0,1) (0,3) (1,1) (1,4) (3,1) (4,0) (4,3)
153	y2 + 4xy = x3 + 1x2 + 4x + 1	7	(0,1) (0,4) (1,2) (1,4) (3,4) (4,1) (4,3)
154	y2 + 4xy + 4y = x3 + 1x2 + 1x + 2	7	(0,2) (0,4) (1,0) (1,2) (3,2) (4,1) (4,4)
155	y2 + 4xy + 3y = x3 + 1x2 + 3x	7	(0,0) (0,2) (1,0) (1,3) (3,0) (4,2) (4,4)
156	y2 + 4xy + 4y = x3 + 3x2 + 4x + 2	7	(0,2) (0,4) (1,0) (1,2) (2,0) (2,3) (4,0)
157	y2 + 4xy + 3y = x3 + 3x2 + 1x	7	(0,0) (0,2) (1,0) (1,3) (2,1) (2,3) (4,3)
158	y2 + 4xy + 2y = x3 + 3x2 + 3x	7	(0,0) (0,3) (1,1) (1,3) (2,1) (2,4) (4,1)
159	y2 + 4xy + 1y = x3 + 3x2 + 2	7	(0,1) (0,3) (1,1) (1,4) (2,2) (2,4) (4,4)
160	y2 + 4xy = x3 + 3x2 + 2x + 1	7	(0,1) (0,4) (1,2) (1,4) (2,0) (2,2) (4,2)
161	y2 + 4xy + 1y = x3 + 4x + 1	7	(0,2) (1,1) (1,4) (2,2) (2,4) (3,0) (3,2)
162	y2 + 4xy = x3 + 1x	7	(0,0) (1,2) (1,4) (2,0) (2,2) (3,0) (3,3)
163	y2 + 4xy + 4y = x3 + 3x + 1	7	(0,3) (1,0) (1,2) (2,0) (2,3) (3,1) (3,3)
164	y2 + 4xy + 3y = x3 + 4	7	(0,1) (1,0) (1,3) (2,1) (2,3) (3,1) (3,4)
165	y2 + 4xy + 2y = x3 + 2x + 4	7	(0,4) (1,1) (1,3) (2,1) (2,4) (3,2) (3,4)
166	y2 + 4xy + 3y = x3 + 2x2 + 1	7	(1,4) (2,1) (2,3) (3,1) (3,4) (4,2) (4,4)
167	y2 + 4xy + 2y = x3 + 2x2 + 2x + 1	7	(1,2) (2,1) (2,4) (3,2) (3,4) (4,0) (4,2)
168	y2 + 4xy + 1y = x3 + 2x2 + 4x + 3	7	(1,0) (2,2) (2,4) (3,0) (3,2) (4,0) (4,3)
169	y2 + 4xy = x3 + 2x2 + 1x + 2	7	(1,3) (2,0) (2,2) (3,0) (3,3) (4,1) (4,3)
170	y2 + 4xy + 4y = x3 + 2x2 + 3x + 3	7	(1,1) (2,0) (2,3) (3,1) (3,3) (4,1) (4,4)
171	y2 + 4xy = x3 + 4x2 + 2x + 1	7	(0,1) (0,4) (2,1) (3,0) (3,3) (4,1) (4,3)
172	y2 + 4xy + 4y = x3 + 4x2 + 4x + 2	7	(0,2) (0,4) (2,4) (3,1) (3,3) (4,1) (4,4)
173	y2 + 4xy + 3y = x3 + 4x2 + 1x	7	(0,0) (0,2) (2,2) (3,1) (3,4) (4,2) (4,4)
174	y2 + 4xy + 2y = x3 + 4x2 + 3x	7	(0,0) (0,3) (2,0) (3,2) (3,4) (4,0) (4,2)
175	y2 + 4xy + 1y = x3 + 4x2 + 2	7	(0,1) (0,3) (2,3) (3,0) (3,2) (4,0) (4,3)
176	y2 + 2y = x3 + 4x	7	(0,0) (0,3) (1,0) (1,3) (3,4) (4,0) (4,3)
177	y2 + 1y = x3 + 4x + 2	7	(0,1) (0,3) (1,1) (1,3) (3,2) (4,1) (4,3)
178	y2 = x3 + 4x + 1	7	(0,1) (0,4) (1,1) (1,4) (3,0) (4,1) (4,4)
179	y2 + 4y = x3 + 4x + 2	7	(0,2) (0,4) (1,2) (1,4) (3,3) (4,2) (4,4)
180	y2 + 3y = x3 + 4x	7	(0,0) (0,2) (1,0) (1,2) (3,1) (4,0) (4,2)
181	y2 + 4y = x3 + 2x2 + 2x + 2	7	(0,2) (0,4) (1,2) (1,4) (2,2) (2,4) (4,3)
182	y2 + 3y = x3 + 2x2 + 2x	7	(0,0) (0,2) (1,0) (1,2) (2,0) (2,2) (4,1)
183	y2 + 2y = x3 + 2x2 + 2x	7	(0,0) (0,3) (1,0) (1,3) (2,0) (2,3) (4,4)
184	y2 + 1y = x3 + 2x2 + 2x + 2	7	(0,1) (0,3) (1,1) (1,3) (2,1) (2,3) (4,2)
185	y2 = x3 + 2x2 + 2x + 1	7	(0,1) (0,4) (1,1) (1,4) (2,1) (2,4) (4,0)
186	y2 + 1y = x3 + 4x2 + 1x + 1	7	(0,2) (1,1) (1,3) (2,1) (2,3) (3,1) (3,3)
187	y2 = x3 + 4x2 + 1x	7	(0,0) (1,1) (1,4) (2,1) (2,4) (3,1) (3,4)
188	y2 + 4y = x3 + 4x2 + 1x + 1	7	(0,3) (1,2) (1,4) (2,2) (2,4) (3,2) (3,4)
189	y2 + 3y = x3 + 4x2 + 1x + 4	7	(0,1) (1,0) (1,2) (2,0) (2,2) (3,0) (3,2)
190	y2 + 2y = x3 + 4x2 + 1x + 4	7	(0,4) (1,0) (1,3) (2,0) (2,3) (3,0) (3,3)
191	y2 + 3y = x3 + 1x2 + 1x + 1	7	(1,1) (2,0) (2,2) (3,0) (3,2) (4,0) (4,2)
192	y2 + 2y = x3 + 1x2 + 1x + 1	7	(1,4) (2,0) (2,3) (3,0) (3,3) (4,0) (4,3)
193	y2 + 1y = x3 + 1x2 + 1x + 3	7	(1,2) (2,1) (2,3) (3,1) (3,3) (4,1) (4,3)
194	y2 = x3 + 1x2 + 1x + 2	7	(1,0) (2,1) (2,4) (3,1) (3,4) (4,1) (4,4)
195	y2 + 4y = x3 + 1x2 + 1x + 3	7	(1,3) (2,2) (2,4) (3,2) (3,4) (4,2) (4,4)
196	y2 = x3 + 3x2 + 2x + 1	7	(0,1) (0,4) (2,0) (3,1) (3,4) (4,1) (4,4)
197	y2 + 4y = x3 + 3x2 + 2x + 2	7	(0,2) (0,4) (2,3) (3,2) (3,4) (4,2) (4,4)
198	y2 + 3y = x3 + 3x2 + 2x	7	(0,0) (0,2) (2,1) (3,0) (3,2) (4,0) (4,2)
199	y2 + 2y = x3 + 3x2 + 2x	7	(0,0) (0,3) (2,4) (3,0) (3,3) (4,0) (4,3)
200	y2 + 1y = x3 + 3x2 + 2x + 2	7	(0,1) (0,3) (2,2) (3,1) (3,3) (4,1) (4,3)
201	y2 + 1xy + 2y = x3 + 1x2 + 3x	7	(0,0) (0,3) (1,0) (1,2) (3,0) (4,1) (4,3)
202	y2 + 1xy + 1y = x3 + 1x2 + 1x + 2	7	(0,1) (0,3) (1,0) (1,3) (3,3) (4,1) (4,4)
203	y2 + 1xy = x3 + 1x2 + 4x + 1	7	(0,1) (0,4) (1,1) (1,3) (3,1) (4,2) (4,4)
204	y2 + 1xy + 4y = x3 + 1x2 + 2x + 2	7	(0,2) (0,4) (1,1) (1,4) (3,4) (4,0) (4,2)
205	y2 + 1xy + 3y = x3 + 1x2	7	(0,0) (0,2) (1,2) (1,4) (3,2) (4,0) (4,3)
206	y2 + 1xy + 4y = x3 + 3x2 + 2	7	(0,2) (0,4) (1,1) (1,4) (2,1) (2,3) (4,1)
207	y2 + 1xy + 3y = x3 + 3x2 + 3x	7	(0,0) (0,2) (1,2) (1,4) (2,1) (2,4) (4,4)
208	y2 + 1xy + 2y = x3 + 3x2 + 1x	7	(0,0) (0,3) (1,0) (1,2) (2,2) (2,4) (4,2)
209	y2 + 1xy + 1y = x3 + 3x2 + 4x + 2	7	(0,1) (0,3) (1,0) (1,3) (2,0) (2,2) (4,0)
210	y2 + 1xy = x3 + 3x2 + 2x + 1	7	(0,1) (0,4) (1,1) (1,3) (2,0) (2,3) (4,3)
211	y2 + 1xy + 1y = x3 + 3x + 1	7	(0,2) (1,0) (1,3) (2,0) (2,2) (3,2) (3,4)
212	y2 + 1xy = x3 + 1x	7	(0,0) (1,1) (1,3) (2,0) (2,3) (3,0) (3,2)
213	y2 + 1xy + 4y = x3 + 4x + 1	7	(0,3) (1,1) (1,4) (2,1) (2,3) (3,0) (3,3)
214	y2 + 1xy + 3y = x3 + 2x + 4	7	(0,1) (1,2) (1,4) (2,1) (2,4) (3,1) (3,3)
215	y2 + 1xy + 2y = x3 + 4	7	(0,4) (1,0) (1,2) (2,2) (2,4) (3,1) (3,4)
216	y2 + 1xy + 3y = x3 + 2x2 + 2x + 1	7	(1,3) (2,1) (2,4) (3,1) (3,3) (4,0) (4,3)
217	y2 + 1xy + 2y = x3 + 2x2 + 1	7	(1,1) (2,2) (2,4) (3,1) (3,4) (4,1) (4,3)
218	y2 + 1xy + 1y = x3 + 2x2 + 3x + 3	7	(1,4) (2,0) (2,2) (3,2) (3,4) (4,1) (4,4)
219	y2 + 1xy = x3 + 2x2 + 1x + 2	7	(1,2) (2,0) (2,3) (3,0) (3,2) (4,2) (4,4)
220	y2 + 1xy + 4y = x3 + 2x2 + 4x + 3	7	(1,0) (2,1) (2,3) (3,0) (3,3) (4,0) (4,2)
221	y2 + 1xy = x3 + 4x2 + 2x + 1	7	(0,1) (0,4) (2,4) (3,0) (3,2) (4,2) (4,4)
222	y2 + 1xy + 4y = x3 + 4x2 + 2	7	(0,2) (0,4) (2,2) (3,0) (3,3) (4,0) (4,2)
223	y2 + 1xy + 3y = x3 + 4x2 + 3x	7	(0,0) (0,2) (2,0) (3,1) (3,3) (4,0) (4,3)
224	y2 + 1xy + 2y = x3 + 4x2 + 1x	7	(0,0) (0,3) (2,3) (3,1) (3,4) (4,1) (4,3)
225	y2 + 1xy + 1y = x3 + 4x2 + 4x + 2	7	(0,1) (0,3) (2,1) (3,2) (3,4) (4,1) (4,4)
226	y2 + 2xy + 2y = x3 + 4x2 + 2x	7	(0,0) (0,3) (1,2) (1,4) (3,1) (4,1) (4,4)
227	y2 + 2xy + 1y = x3 + 4x2 + 3x + 2	7	(0,1) (0,3) (1,0) (1,2) (3,4) (4,2) (4,4)
228	y2 + 2xy = x3 + 4x2 + 4x + 1	7	(0,1) (0,4) (1,0) (1,3) (3,2) (4,0) (4,2)
229	y2 + 2xy + 4y = x3 + 4x2 + 2	7	(0,2) (0,4) (1,1) (1,3) (3,0) (4,0) (4,3)
230	y2 + 2xy + 3y = x3 + 4x2 + 1x	7	(0,0) (0,2) (1,1) (1,4) (3,3) (4,1) (4,3)
231	y2 + 2xy + 4y = x3 + 1x2 + 3x + 2	7	(0,2) (0,4) (1,1) (1,3) (2,0) (2,2) (4,4)
232	y2 + 2xy + 3y = x3 + 1x2 + 4x	7	(0,0) (0,2) (1,1) (1,4) (2,0) (2,3) (4,2)
233	y2 + 2xy + 2y = x3 + 1x2	7	(0,0) (0,3) (1,2) (1,4) (2,1) (2,3) (4,0)
234	y2 + 2xy + 1y = x3 + 1x2 + 1x + 2	7	(0,1) (0,3) (1,0) (1,2) (2,1) (2,4) (4,3)
235	y2 + 2xy = x3 + 1x2 + 2x + 1	7	(0,1) (0,4) (1,0) (1,3) (2,2) (2,4) (4,1)
236	y2 + 2xy + 1y = x3 + 3x2 + 1	7	(0,2) (1,0) (1,2) (2,1) (2,4) (3,0) (3,3)
237	y2 + 2xy = x3 + 3x2 + 1x	7	(0,0) (1,0) (1,3) (2,2) (2,4) (3,1) (3,3)
238	y2 + 2xy + 4y = x3 + 3x2 + 2x + 1	7	(0,3) (1,1) (1,3) (2,0) (2,2) (3,1) (3,4)
239	y2 + 2xy + 3y = x3 + 3x2 + 3x + 4	7	(0,1) (1,1) (1,4) (2,0) (2,3) (3,2) (3,4)
240	y2 + 2xy + 2y = x3 + 3x2 + 4x + 4	7	(0,4) (1,2) (1,4) (2,1) (2,3) (3,0) (3,2)
241	y2 + 2xy + 3y = x3 + 3x + 1	7	(1,0) (2,0) (2,3) (3,2) (3,4) (4,1) (4,3)
242	y2 + 2xy + 2y = x3 + 4x + 1	7	(1,3) (2,1) (2,3) (3,0) (3,2) (4,1) (4,4)
243	y2 + 2xy + 1y = x3 + 3	7	(1,1) (2,1) (2,4) (3,0) (3,3) (4,2) (4,4)
244	y2 + 2xy = x3 + 1x + 2	7	(1,4) (2,2) (2,4) (3,1) (3,3) (4,0) (4,2)
245	y2 + 2xy + 4y = x3 + 2x + 3	7	(1,2) (2,0) (2,2) (3,1) (3,4) (4,0) (4,3)
246	y2 + 2xy = x3 + 2x2 + 2x + 1	7	(0,1) (0,4) (2,3) (3,1) (3,3) (4,0) (4,2)
247	y2 + 2xy + 4y = x3 + 2x2 + 3x + 2	7	(0,2) (0,4) (2,1) (3,1) (3,4) (4,0) (4,3)
248	y2 + 2xy + 3y = x3 + 2x2 + 4x	7	(0,0) (0,2) (2,4) (3,2) (3,4) (4,1) (4,3)
249	y2 + 2xy + 2y = x3 + 2x2	7	(0,0) (0,3) (2,2) (3,0) (3,2) (4,1) (4,4)
250	y2 + 2xy + 1y = x3 + 2x2 + 1x + 2	7	(0,1) (0,3) (2,0) (3,0) (3,3) (4,2) (4,4)