Rational Points on Elliptic Curves: y^2=x^3+n (n \in [1..1000])

Rational Points on Ellptic Curves: y^2=x^3+n (n \in [1..1000])

[2021.08.08]y^2=x^3+n (n \in [1..1000])の有理点

■n=1,2,...,1000に対して、
     E_n: y² = x³+n
の有理点を求める。

■n=1,2,...,1000に対して、楕円曲線E_nのねじれ点群E_n(Q)_torsを計算すると、
     E_n(Q)_tors=Z/2Z if n=8,27,125,216,343,512,1000
                 =Z/3Z if n=4,9,16,25,36,49,81,100,121,144,169,196,225,256,289,324,361,400,441,484,529,625,676,784,841,900,961
                 =Z/6Z if n=1,64,729
                 ={O} if nが平方数,立方数でない
となる。

[pari/gpによる計算]

gp> ec(n)=ellinit([0,0,0,0,n]);
gp> tg(n1,n2)=local(e,g,o);for(i=n1,n2,e=ec(i);g=elltors(e);o=g[1];if(o>1,print("E_",i,"(Q)_{tors}=",g)));
gp> tg(1,1000)
E_1(Q)_{tors}=[6, [6], [[2, 3]]]
E_4(Q)_{tors}=[3, [3], [[0, 2]]]
E_8(Q)_{tors}=[2, [2], [[-2, 0]]]
E_9(Q)_{tors}=[3, [3], [[0, 3]]]
E_16(Q)_{tors}=[3, [3], [[0, 4]]]
E_25(Q)_{tors}=[3, [3], [[0, 5]]]
E_27(Q)_{tors}=[2, [2], [[-3, 0]]]
E_36(Q)_{tors}=[3, [3], [[0, 6]]]
E_49(Q)_{tors}=[3, [3], [[0, 7]]]
E_64(Q)_{tors}=[6, [6], [[8, 24]]]
E_81(Q)_{tors}=[3, [3], [[0, 9]]]
E_100(Q)_{tors}=[3, [3], [[0, 10]]]
E_121(Q)_{tors}=[3, [3], [[0, 11]]]
E_125(Q)_{tors}=[2, [2], [[-5, 0]]]
E_144(Q)_{tors}=[3, [3], [[0, 12]]]
E_169(Q)_{tors}=[3, [3], [[0, 13]]]
E_196(Q)_{tors}=[3, [3], [[0, 14]]]
E_216(Q)_{tors}=[2, [2], [[-6, 0]]]
E_225(Q)_{tors}=[3, [3], [[0, 15]]]
E_256(Q)_{tors}=[3, [3], [[0, 16]]]
E_289(Q)_{tors}=[3, [3], [[0, 17]]]
E_324(Q)_{tors}=[3, [3], [[0, 18]]]
E_343(Q)_{tors}=[2, [2], [[-7, 0]]]
E_361(Q)_{tors}=[3, [3], [[0, 19]]]
E_400(Q)_{tors}=[3, [3], [[0, 20]]]
E_441(Q)_{tors}=[3, [3], [[0, 21]]]
E_484(Q)_{tors}=[3, [3], [[0, 22]]]
E_512(Q)_{tors}=[2, [2], [[-8, 0]]]
E_529(Q)_{tors}=[3, [3], [[0, 23]]]
E_576(Q)_{tors}=[3, [3], [[0, 24]]]
E_625(Q)_{tors}=[3, [3], [[0, 25]]]
E_676(Q)_{tors}=[3, [3], [[0, 26]]]
E_729(Q)_{tors}=[6, [6], [[18, 81]]]
E_784(Q)_{tors}=[3, [3], [[0, 28]]]
E_841(Q)_{tors}=[3, [3], [[0, 29]]]
E_900(Q)_{tors}=[3, [3], [[0, 30]]]
E_961(Q)_{tors}=[3, [3], [[0, 31]]]
E_1000(Q)_{tors}=[2, [2], [[-10, 0]]]
time = 8 ms.

■nが6乗因子kをもつとき、つまり、n=k⁶・mのとき、
双有理変換φ: E_n → E_m;      (x,y) → (X,Y)
       X=x/{k²}
       Y=y/{k³}
[
逆変換φ^-1: E_m → E_n;      (X,Y) → (x,y)
       x={k²}・X
       y={k³}・Y
]
により、
2つの楕円曲線E_nとE_mはQ-isomorphicになる。

よって、nは6乗因子を含まないものだけを考えれば十分であるが、見易さのために、対象範囲内の全てのnについて、楕円曲線Enの有理点の一覧表をまとめる。

■楕円曲線E_nのMordell-Weil群のrankと生成元を求めると以下のようになる。

-	E^~_n: Y²Z=X³+nZ³ E_n: y²=x³+n						-
n	[a₁,a₂,a₃,a₄,a₆] j(E_n) Conductor of E_n	E_n(Q)_tors E_n(Q)_torsの生成元	rank(E_n(Q))	E_n(Q)/E_n(Q)_tors の生成元 [X:Y:Z]	E_n(Q)/E_n(Q)_tors の生成元の高さ	E_n(Z) E_nの整点[x,y] (where y >= 0)	n
1	[0, 0, 0, 0, 1] 0 36	Z/6Z [2, 3]	0	-	-	[-1, 0], [0, 1], [2, 3]	1
2	[0, 0, 0, 0, 2] 0 1728	{O} -	1	[-1 : 1 : 1]	0.75457690318122	[-1, 1]	2
3	[0, 0, 0, 0, 3] 0 3888	{O} -	1	[1 : 2 : 1]	0.92191912512801	[1, 2]	3
4	[0, 0, 0, 0, 4] 0 108	Z/3Z [0, 2]	0	-	-	[0, 2]	4
5	[0, 0, 0, 0, 5] 0 2700	{O} -	1	[-1 : 2 : 1]	1.03610657165260	[-1, 2]	5
6	[0, 0, 0, 0, 6] 0 15552	{O} -	0	-	-	-	6
7	[0, 0, 0, 0, 7] 0 21168	{O} -	0	-	-	-	7
8	[0, 0, 0, 0, 8] 0 576	Z/2Z [-2, 0]	1	[1 : 3 : 1]	0.65323467754297	[-2, 0], [1, 3], [2, 4], [46, 312]	8
9	[0, 0, 0, 0, 9] 0 972	Z/3Z [0, 3]	1	[-2 : 1 : 1]	0.81469544056682	[-2, 1], [0, 3], [3, 6], [6, 15], [40, 253]	9
10	[0, 0, 0, 0, 10] 0 14400	{O} -	1	[-1 : 3 : 1]	0.70567545070452	[-1, 3]	10
11	[0, 0, 0, 0, 11] 0 52272	{O} -	1	[-14 : 19 : 8]	2.70829782852713	-	11
12	[0, 0, 0, 0, 12] 0 3888	{O} -	1	[-2 : 2 : 1]	0.66847573678882	[-2, 2], [13, 47]	12
13	[0, 0, 0, 0, 13] 0 18252	{O} -	0	-	-	-	13
14	[0, 0, 0, 0, 14] 0 84672	{O} -	0	-	-	-	14
15	[0, 0, 0, 0, 15] 0 97200	{O} -	2	[1 : 4 : 1], [109 : 1138 : 1]	1.39508335033481, 4.70526471938057	[1, 4], [109, 1138]	15
16	[0, 0, 0, 0, 16] 0 27	Z/3Z [0, 4]	0	-	-	[0, 4]	16
17	[0, 0, 0, 0, 17] 0 10404	{O} -	2	[-2 : 3 : 1], [-1 : 4 : 1]	0.45461686518421, 1.42510431540567	[-2, 3], [-1, 4], [2, 5], [4, 9], [8, 23], [43, 282], [52, 375], [5234, 378661]	17
18	[0, 0, 0, 0, 18] 0 15552	{O} -	1	[7 : 19 : 1]	2.18134812974833	[7, 19]	18
19	[0, 0, 0, 0, 19] 0 51984	{O} -	1	[5 : 12 : 1]	1.40089769000757	[5, 12]	19
20	[0, 0, 0, 0, 20] 0 2700	{O} -	0	-	-	-	20
21	[0, 0, 0, 0, 21] 0 47628	{O} -	0	-	-	-	21
22	[0, 0, 0, 0, 22] 0 209088	{O} -	1	[3 : 7 : 1]	1.70861016239140	[3, 7]	22
23	[0, 0, 0, 0, 23] 0 228528	{O} -	0	-	-	-	23
24	[0, 0, 0, 0, 24] 0 15552	{O} -	2	[-2 : 4 : 1], [1 : 5 : 1]	0.87788972028431, 1.54316286139803	[-2, 4], [1, 5], [10, 32], [8158, 736844]	24
25	[0, 0, 0, 0, 25] 0 2700	Z/3Z [0, 5]	0	-	-	[0, 5]	25
26	[0, 0, 0, 0, 26] 0 97344	{O} -	1	[-1 : 5 : 1]	1.56257198911012	[-1, 5]	26
27	[0, 0, 0, 0, 27] 0 144	Z/2Z [-3, 0]	0	-	-	[-3, 0]	27
28	[0, 0, 0, 0, 28] 0 7056	{O} -	1	[2 : -6 : 1]	0.41462415202842	[-3, 1], [2, 6]	28
29	[0, 0, 0, 0, 29] 0 90828	{O} -	0	-	-	-	29
30	[0, 0, 0, 0, 30] 0 388800	{O} -	1	[19 : 83 : 1]	3.04553796383648	[19, 83]	30
31	[0, 0, 0, 0, 31] 0 415152	{O} -	1	[-3 : 2 : 1]	1.68822040963350	[-3, 2]	31
32	[0, 0, 0, 0, 32] 0 1728	{O} -	0	-	-	-	32
33	[0, 0, 0, 0, 33] 0 117612	{O} -	1	[-2 : 5 : 1]	1.20722936899394	[-2, 5]	33
34	[0, 0, 0, 0, 34] 0 499392	{O} -	0	-	-	-	34
35	[0, 0, 0, 0, 35] 0 176400	{O} -	1	[1 : 6 : 1]	1.11453406621689	[1, 6]	35
36	[0, 0, 0, 0, 36] 0 972	Z/3Z [0, 6]	1	[-3 : 3 : 1]	0.99978932437879	[-3, 3], [0, 6], [4, 10], [12, 42]	36
37	[0, 0, 0, 0, 37] 0 49284	{O} -	2	[-1 : 6 : 1], [3 : 8 : 1]	1.12809941041083, 1.82280884124843	[-1, 6], [3, 8], [243, 3788]	37
38	[0, 0, 0, 0, 38] 0 623808	{O} -	1	[11 : 37 : 1]	2.58887689334079	[11, 37]	38
39	[0, 0, 0, 0, 39] 0 657072	{O} -	1	[434 : 3197 : 8]	5.41837396831351	-	39
40	[0, 0, 0, 0, 40] 0 43200	{O} -	1	[6 : 16 : 1]	1.46375595197452	[6, 16]	40
41	[0, 0, 0, 0, 41] 0 181548	{O} -	1	[2 : 7 : 1]	1.30252922330015	[2, 7]	41
42	[0, 0, 0, 0, 42] 0 762048	{O} -	0	-	-	-	42
43	[0, 0, 0, 0, 43] 0 798768	{O} -	2	[-3 : 4 : 1], [18 : 59 : 8]	1.78491369500229, 3.18209445444608	[-3, 4]	43
44	[0, 0, 0, 0, 44] 0 17424	{O} -	1	[-2 : 6 : 1]	0.51663312954498	[-2, 6], [5, 13]	44
45	[0, 0, 0, 0, 45] 0 24300	{O} -	0	-	-	-	45
46	[0, 0, 0, 0, 46] 0 304704	{O} -	1	[-14 : 51 : 8]	2.60297991556194	-	46
47	[0, 0, 0, 0, 47] 0 954288	{O} -	1	[34 : 89 : 8]	3.38676609979565	-	47
48	[0, 0, 0, 0, 48] 0 3888	{O} -	1	[1 : 7 : 1]	1.76580333576025	[1, 7]	48
49	[0, 0, 0, 0, 49] 0 5292	Z/3Z [0, 7]	0	-	-	[0, 7]	49
50	[0, 0, 0, 0, 50] 0 43200	{O} -	1	[-1 : 7 : 1]	1.77581329740530	[-1, 7]	50
51	[0, 0, 0, 0, 51] 0 1123632	{O} -	0	-	-	-	51
52	[0, 0, 0, 0, 52] 0 18252	{O} -	1	[-3 : 5 : 1]	1.84182497128130	[-3, 5]	52
53	[0, 0, 0, 0, 53] 0 101124	{O} -	0	-	-	-	53
54	[0, 0, 0, 0, 54] 0 1728	{O} -	1	[3 : 9 : 1]	0.44985894522670	[3, 9]	54
55	[0, 0, 0, 0, 55] 0 435600	{O} -	1	[9 : 28 : 1]	2.46418376249214	[9, 28]	55
56	[0, 0, 0, 0, 56] 0 84672	{O} -	1	[2 : 8 : 1]	1.16270026077160	[2, 8]	56
57	[0, 0, 0, 0, 57] 0 350892	{O} -	2	[-2 : 7 : 1], [4 : 11 : 1]	1.37845694997101, 1.55269184783923	[-2, 7], [4, 11], [7, 20]	57
58	[0, 0, 0, 0, 58] 0 1453248	{O} -	1	[1446 : 4087 : 216]	5.85547955296906	-	58
59	[0, 0, 0, 0, 59] 0 1503792	{O} -	0	-	-	-	59
60	[0, 0, 0, 0, 60] 0 97200	{O} -	0	-	-	-	60
61	[0, 0, 0, 0, 61] 0 401868	{O} -	1	[-30 : 23 : 8]	3.29984249460462	-	61
62	[0, 0, 0, 0, 62] 0 553536	{O} -	1	[2 : 63 : 8]	2.67543221280610	-	62
63	[0, 0, 0, 0, 63] 0 190512	{O} -	2	[-3 : 6 : 1], [1 : 8 : 1]	1.16740456186110, 1.85413136382490	[-3, 6], [1, 8]	63
64	[0, 0, 0, 0, 64] 0 36	Z/6Z [8, 24]	0	-	-	[-4, 0], [0, 8], [8, 24]	64
65	[0, 0, 0, 0, 65] 0 456300	{O} -	2	[-4 : 1 : 1], [-1 : 8 : 1]	1.47800929931260, 1.86181926031200	[-4, 1], [-1, 8], [14, 53], [584, 14113]	65
66	[0, 0, 0, 0, 66] 0 1881792	{O} -	1	[2 : 65 : 8]	3.24555216402642	-	66
67	[0, 0, 0, 0, 67] 0 1939248	{O} -	1	[294 : 1801 : 216]	5.46738523212918	-	67
68	[0, 0, 0, 0, 68] 0 31212	{O} -	1	[-4 : 2 : 1]	1.02905048526023	[-4, 2], [152, 1874]	68
69	[0, 0, 0, 0, 69] 0 514188	{O} -	1	[-15 : 224 : 27]	4.07330690108667	-	69
70	[0, 0, 0, 0, 70] 0 2116800	{O} -	0	-	-	-	70
71	[0, 0, 0, 0, 71] 0 725904	{O} -	1	[5 : 14 : 1]	2.14892978254364	[5, 14]	71
72	[0, 0, 0, 0, 72] 0 15552	{O} -	1	[-2 : 8 : 1]	1.22144449790466	[-2, 8]	72
73	[0, 0, 0, 0, 73] 0 191844	{O} -	2	[2 : 9 : 1], [-4 : 3 : 1]	0.92394317160039, 0.96257318809237	[-4, 3], [2, 9], [3, 10], [6, 17], [72, 611], [356, 6717]	73
74	[0, 0, 0, 0, 74] 0 2365632	{O} -	1	[21 : 233 : 27]	4.09980835941542	-	74
75	[0, 0, 0, 0, 75] 0 97200	{O} -	0	-	-	-	75
76	[0, 0, 0, 0, 76] 0 155952	{O} -	1	[-3 : 7 : 1]	1.95698235940070	[-3, 7]	76
77	[0, 0, 0, 0, 77] 0 640332	{O} -	1	[-305 : 988 : 125]	5.16524084733908	-	77
78	[0, 0, 0, 0, 78] 0 2628288	{O} -	0	-	-	-	78
79	[0, 0, 0, 0, 79] 0 2696112	{O} -	2	[-30 : 41 : 8], [45 : 302 : 1]	3.37614418975677, 3.86541416561391	[45, 302]	79
80	[0, 0, 0, 0, 80] 0 225	{O} -	1	[4 : 12 : 1]	0.15364003501329	[-4, 4], [1, 9], [4, 12], [44, 292]	80
81	[0, 0, 0, 0, 81] 0 972	Z/3Z [0, 9]	0	-	-	[0, 9]	81
82	[0, 0, 0, 0, 82] 0 968256	{O} -	1	[-1 : 9 : 1]	1.38884891673285	[-1, 9]	82
83	[0, 0, 0, 0, 83] 0 2976048	{O} -	1	[15846 : 135737 : 216]	7.91550908242369	-	83
84	[0, 0, 0, 0, 84] 0 47628	{O} -	0	-	-	-	84
85	[0, 0, 0, 0, 85] 0 780300	{O} -	0	-	-	-	85
86	[0, 0, 0, 0, 86] 0 3195072	{O} -	0	-	-	-	86
87	[0, 0, 0, 0, 87] 0 3269808	{O} -	0	-	-	-	87
88	[0, 0, 0, 0, 88] 0 209088	{O} -	0	-	-	-	88
89	[0, 0, 0, 0, 89] 0 285156	{O} -	2	[-2 : 9 : 1], [-4 : 5 : 1]	0.97074612242338, 1.57021917516742	[-4, 5], [-2, 9], [10, 33], [55, 408]	89
90	[0, 0, 0, 0, 90] 0 388800	{O} -	0	-	-	-	90
91	[0, 0, 0, 0, 91] 0 1192464	{O} -	1	[-3 : 8 : 1]	2.01229376795131	[-3, 8]	91
92	[0, 0, 0, 0, 92] 0 228528	{O} -	1	[2 : 10 : 1]	1.31279848407488	[2, 10]	92
93	[0, 0, 0, 0, 93] 0 934092	{O} -	0	-	-	-	93
94	[0, 0, 0, 0, 94] 0 3817152	{O} -	1	[3 : 11 : 1]	2.06108190143438	[3, 11]	94
95	[0, 0, 0, 0, 95] 0 3898800	{O} -	0	-	-	-	95
96	[0, 0, 0, 0, 96] 0 15552	{O} -	0	-	-	-	96
97	[0, 0, 0, 0, 97] 0 1016172	{O} -	1	[18 : 77 : 1]	2.5870983635244	[18, 77]	97
98	[0, 0, 0, 0, 98] 0 28224	{O} -	1	[7 : 21 : 1]	0.52431451180667	[7, 21]	98
99	[0, 0, 0, 0, 99] 0 470448	{O} -	1	[1 : 10 : 1]	2.00181012583338	[1, 10]	99
100	[0, 0, 0, 0, 100] 0 900	Z/3Z [0, 10]	1	[-4 : 6 : 1]	0.59341039923109	[-4, 6], [0, 10], [5, 15], [20, 90], [24, 118], [2660, 137190]	100
101	[0, 0, 0, 0, 101] 0 1101708	{O} -	2	[-1 : 10 : 1], [95 : 926 : 1]	2.00675079147932, 4.58404107330309	[-1, 10], [95, 926]	101
102	[0, 0, 0, 0, 102] 0 4494528	{O} -	1	[17549 : 124675 : 12167]	8.29171665229353	-	102
103	[0, 0, 0, 0, 103] 0 4583088	{O} -	1	[39 : 278 : 27]	4.22114032161449	-	103
104	[0, 0, 0, 0, 104] 0 292032	{O} -	0	-	-	-	104
105	[0, 0, 0, 0, 105] 0 1190700	{O} -	1	[4 : 13 : 1]	1.69125237968437	[4, 13]	105
106	[0, 0, 0, 0, 106] 0 4853952	{O} -	2	[15 : 59 : 1], [-51 : 269 : 27]	2.90537583953471, 4.23327675453680	[15, 59]	106
107	[0, 0, 0, 0, 107] 0 1648656	{O} -	1	[13 : 48 : 1]	2.24509336669847	[13, 48]	107
108	[0, 0, 0, 0, 108] 0 432	{O} -	1	[6 : 18 : 1]	0.15010689521329	[-3, 9], [-2, 10], [6, 18], [366, 7002]	108
109	[0, 0, 0, 0, 109] 0 427716	{O} -	0	-	-	-	109
110	[0, 0, 0, 0, 110] 0 5227200	{O} -	1	[649 : 13967 : 1331]	6.82639516275280	-	110
111	[0, 0, 0, 0, 111] 0 5322672	{O} -	1	[-2365 : 13664 : 1331]	6.84473391694478	-	111
112	[0, 0, 0, 0, 112] 0 21168	{O} -	1	[9 : 29 : 1]	2.53926798575395	[9, 29]	112
113	[0, 0, 0, 0, 113] 0 1379052	{O} -	3	[2 : 11 : 1], [-4 : 7 : 1], [8 : 25 : 1]	1.60741760647698, 1.64131903293877, 2.00561989408730	[-4, 7], [2, 11], [8, 25], [11, 38], [26, 133], [422, 8669]	113
114	[0, 0, 0, 0, 114] 0 5614272	{O} -	0	-	-	-	114
115	[0, 0, 0, 0, 115] 0 5713200	{O} -	0	-	-	-	115
116	[0, 0, 0, 0, 116] 0 30276	{O} -	0	-	-	-	116
117	[0, 0, 0, 0, 117] 0 164268	{O} -	1	[3 : 12 : 1]	1.38976930536409	[3, 12]	117
118	[0, 0, 0, 0, 118] 0 2005056	{O} -	1	[18 : 91 : 8]	3.47801550807954	-	118
119	[0, 0, 0, 0, 119] 0 6117552	{O} -	1	[53 : 386 : 1]	4.02746909084805	[53, 386]	119
120	[0, 0, 0, 0, 120] 0 388800	{O} -	1	[1 : 11 : 1]	2.06492788917880	[1, 11]	120
121	[0, 0, 0, 0, 121] 0 13068	Z/3Z [0, 11]	1	[12 : 43 : 1]	2.28295031240535	[0, 11], [12, 43]	121
122	[0, 0, 0, 0, 122] 0 6429888	{O} -	2	[-1 : 11 : 1], [82 : 277 : 8]	2.06901691346634, 4.02108992792961	[-1, 11]	122
123	[0, 0, 0, 0, 123] 0 6535728	{O} -	0	-	-	-	123
124	[0, 0, 0, 0, 124] 0 415152	{O} -	0	-	-	-	124
125	[0, 0, 0, 0, 125] 0 900	Z/2Z [-5, 0]	0	-	-	[-5, 0]	125
126	[0, 0, 0, 0, 126] 0 762048	{O} -	1	[-5 : 1 : 1]	2.16105981277234	[-5, 1]	126
127	[0, 0, 0, 0, 127] 0 2322576	{O} -	1	[-3 : 10 : 1]	2.11564679279549	[-3, 10]	127
128	[0, 0, 0, 0, 128] 0 1728	{O} -	1	[-4 : 8 : 1]	0.75457690318122	[-4, 8], [17, 71]	128
129	[0, 0, 0, 0, 129] 0 1797228	{O} -	2	[-2 : 11 : 1], [-5 : 2 : 1]	1.63912830812215, 2.16790469951515	[-5, 2], [-2, 11], [16, 65]	129
130	[0, 0, 0, 0, 130] 0 7300800	{O} -	1	[5187 : 26287 : 2197]	7.25525200280495	-	130
131	[0, 0, 0, 0, 131] 0 7413552	{O} -	2	[5 : 16 : 1], [2959 : 15860 : 1331]	2.27289457709202, 6.91861516025339	[5, 16]	131
132	[0, 0, 0, 0, 132] 0 117612	{O} -	1	[4 : 14 : 1]	1.28594116071922	[4, 14]	132
133	[0, 0, 0, 0, 133] 0 1910412	{O} -	1	[195 : 1462 : 125]	5.32770531027565	-	133
134	[0, 0, 0, 0, 134] 0 2585664	{O} -	1	[-5 : 3 : 1]	1.62968034121007	[-5, 3]	134
135	[0, 0, 0, 0, 135] 0 10800	{O} -	0	-	-	-	135
136	[0, 0, 0, 0, 136] 0 166464	{O} -	1	[2 : 12 : 1]	0.88492382264014	[2, 12]	136
137	[0, 0, 0, 0, 137] 0 2027052	{O} -	0	-	-	-	137
138	[0, 0, 0, 0, 138] 0 8227008	{O} -	1	[31 : 173 : 1]	3.53705890108836	[31, 173]	138
139	[0, 0, 0, 0, 139] 0 8346672	{O} -	1	[-22014 : 53837 : 5832]	7.94135676375880	-	139
140	[0, 0, 0, 0, 140] 0 529200	{O} -	0	-	-	-	140
141	[0, 0, 0, 0, 141] 0 2147148	{O} -	3	[-5 : 4 : 1], [7 : 22 : 1], [50 : 157 : 8]	2.19386342686176, 2.42836230742135, 3.76146100551743	[-5, 4], [7, 22], [3067, 169852]	141
142	[0, 0, 0, 0, 142] 0 8710848	{O} -	2	[3 : 13 : 1], [9288 : 40027 : 512]	2.17755420203012, 7.23646156239344	[3, 13]	142
143	[0, 0, 0, 0, 143] 0 2944656	{O} -	1	[1 : 12 : 1]	1.57326766946804	[1, 12]	143
144	[0, 0, 0, 0, 144] 0 243	Z/3Z [0, 12]	0	-	-	[0, 12]	144
145	[0, 0, 0, 0, 145] 0 756900	{O} -	2	[-4 : 9 : 1], [-1 : 12 : 1]	1.16715894443124, 1.57670755060040	[-4, 9], [-1, 12], [6, 19], [54, 397]	145
146	[0, 0, 0, 0, 146] 0 9208512	{O} -	1	[61085 : -200249 : 6859]	8.45504734987636	-	146
147	[0, 0, 0, 0, 147] 0 190512	{O} -	1	[2 : 97 : 8]	3.51222386804853	-	147
148	[0, 0, 0, 0, 148] 0 147852	{O} -	2	[-3 : 11 : 1], [21 : 97 : 1]	2.16349433880977, 3.20120366739297	[-3, 11], [21, 97]	148
149	[0, 0, 0, 0, 149] 0 2397708	{O} -	1	[-28 : 781 : 64]	4.90366936306306	-	149
150	[0, 0, 0, 0, 150] 0 388800	{O} -	1	[-5 : 5 : 1]	1.13904033585009	[-5, 5]	150
151	[0, 0, 0, 0, 151] 0 9850032	{O} -	2	[105 : 1076 : 1], [-252 : 607 : 64]	4.68516788694744, 4.96206580897527	[105, 1076]	151
152	[0, 0, 0, 0, 152] 0 207936	{O} -	1	[-2 : 12 : 1]	0.91168789539043	[-2, 12]	152
153	[0, 0, 0, 0, 153] 0 280908	{O} -	0	-	-	-	153
154	[0, 0, 0, 0, 154] 0 3415104	{O} -	1	[23 : 111 : 1]	2.73093951833059	[23, 111]	154
155	[0, 0, 0, 0, 155] 0 10378800	{O} -	1	[-2168 : 4553 : 512]	6.36289838248019	-	155
156	[0, 0, 0, 0, 156] 0 657072	{O} -	1	[10 : 34 : 1]	1.95331357211892	[10, 34]	156
157	[0, 0, 0, 0, 157] 0 2662092	{O} -	0	-	-	-	157
158	[0, 0, 0, 0, 158] 0 10784448	{O} -	0	-	-	-	158
159	[0, 0, 0, 0, 159] 0 10921392	{O} -	0	-	-	-	159
160	[0, 0, 0, 0, 160] 0 43200	{O} -	0	-	-	-	160
161	[0, 0, 0, 0, 161] 0 933156	{O} -	2	[-5 : 6 : 1], [2 : 13 : 1]	1.68351160633753, 1.71840132680843	[-5, 6], [2, 13], [4, 15], [190, 2619]	161
162	[0, 0, 0, 0, 162] 0 15552	{O} -	0	-	-	-	162
163	[0, 0, 0, 0, 163] 0 3825936	{O} -	1	[33 : 190 : 1]	3.59885095465449	[33, 190]	163
164	[0, 0, 0, 0, 164] 0 181548	{O} -	2	[-4 : 10 : 1], [5 : 17 : 1]	1.29179132268704, 2.32351838164683	[-4, 10], [5, 17], [8, 26]	164
165	[0, 0, 0, 0, 165] 0 2940300	{O} -	0	-	-	-	165
166	[0, 0, 0, 0, 166] 0 11904192	{O} -	1	[-121866 : 683251 : 54872]	9.46117205274022	-	166
167	[0, 0, 0, 0, 167] 0 12048048	{O} -	0	-	-	-	167
168	[0, 0, 0, 0, 168] 0 762048	{O} -	2	[1 : 13 : 1], [22 : 104 : 1]	2.17562360191754, 2.55389562318099	[1, 13], [22, 104]	168
169	[0, 0, 0, 0, 169] 0 18252	Z/3Z [0, 13]	1	[3 : 14 : 1]	2.22828339897779	[0, 13], [3, 14], [78, 689]	169
170	[0, 0, 0, 0, 170] 0 4161600	{O} -	1	[-1 : 13 : 1]	2.17855740758482	[-1, 13]	170
171	[0, 0, 0, 0, 171] 0 1403568	{O} -	2	[-3 : 12 : 1], [9 : 30 : 1]	1.47646563858418, 1.86146299760817	[-3, 12], [9, 30], [937, 28682]	171
172	[0, 0, 0, 0, 172] 0 266256	{O} -	1	[14 : 54 : 1]	1.64695565195639	[14, 54]	172
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177	[0, 0, 0, 0, 177] 0 3383532	{O} -	1	[-2 : 13 : 1]	1.74129039537705	[-2, 13]	177
178	[0, 0, 0, 0, 178] 0 13687488	{O} -	0	-	-	-	178
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180	[0, 0, 0, 0, 180] 0 24300	{O} -	0	-	-	-	180
181	[0, 0, 0, 0, 181] 0 1179396	{O} -	0	-	-	-	181
182	[0, 0, 0, 0, 182] 0 14309568	{O} -	1	[64971 : -613439 : 729]	8.92361153578775	-	182
183	[0, 0, 0, 0, 183] 0 14467248	{O} -	1	[-141 : 172 : 27]	4.47282788161617	-	183
184	[0, 0, 0, 0, 184] 0 914112	{O} -	1	[6 : 20 : 1]	1.71779805144654	[6, 20]	184
185	[0, 0, 0, 0, 185] 0 3696300	{O} -	1	[-4 : 11 : 1]	1.79070190592457	[-4, 11]	185
186	[0, 0, 0, 0, 186] 0 14945472	{O} -	2	[7 : 23 : 1], [59619 : 197065 : 9261]	2.47687175117829, 8.52984210718991	[7, 23]	186
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188	[0, 0, 0, 0, 188] 0 318096	{O} -	1	[2 : 14 : 1]	1.53647137351349	[2, 14]	188
189	[0, 0, 0, 0, 189] 0 5292	{O} -	1	[-5 : 8 : 1]	2.28028181481319	[-5, 8]	189
190	[0, 0, 0, 0, 190] 0 5198400	{O} -	1	[11 : 39 : 1]	2.18195624635616	[11, 39]	190
191	[0, 0, 0, 0, 191] 0 15759792	{O} -	1	[-14 : 109 : 8]	3.61108731247029	-	191
192	[0, 0, 0, 0, 192] 0 3888	{O} -	1	[4 : 16 : 1]	0.92191912512801	[4, 16]	192
193	[0, 0, 0, 0, 193] 0 4022892	{O} -	0	-	-	-	193
194	[0, 0, 0, 0, 194] 0 16258752	{O} -	0	-	-	-	194
195	[0, 0, 0, 0, 195] 0 16426800	{O} -	2	[1 : 14 : 1], [456803 : -2804144 : 12167]	2.22475772757123, 9.99194633744685	[1, 14]	195
196	[0, 0, 0, 0, 196] 0 5292	Z/3Z [0, 14]	1	[-3 : 13 : 1]	2.25191918666953	[-3, 13], [0, 14], [84, 770]	196
197	[0, 0, 0, 0, 197] 0 1397124	{O} -	2	[-1 : 14 : 1], [19 : 84 : 1]	2.22728939234491, 2.58650630295437	[-1, 14], [19, 84]	197
198	[0, 0, 0, 0, 198] 0 1881792	{O} -	2	[3 : 15 : 1], [27 : 141 : 1]	1.54273529397045, 2.69733913701689	[3, 15], [27, 141]	198
199	[0, 0, 0, 0, 199] 0 5702544	{O} -	1	[5 : 18 : 1]	1.81991055153889	[5, 18]	199
200	[0, 0, 0, 0, 200] 0 43200	{O} -	0	-	-	-	200
201	[0, 0, 0, 0, 201] 0 4363308	{O} -	0	-	-	-	201
202	[0, 0, 0, 0, 202] 0 17627328	{O} -	1	[186537 : 905653 : 59319]	9.61341582944867	-	202
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204	[0, 0, 0, 0, 204] 0 1123632	{O} -	2	[-2 : 14 : 1], [13 : 49 : 1]	1.55626866643263, 2.85187900391004	[-2, 14], [13, 49]	204
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206	[0, 0, 0, 0, 206] 0 6110784	{O} -	1	[-5 : 9 : 1]	1.75663521136862	[-5, 9]	206
207	[0, 0, 0, 0, 207] 0 2056752	{O} -	1	[25690 : 131003 : 1000]	7.99426391796924	-	207
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209	[0, 0, 0, 0, 209] 0 4717548	{O} -	0	-	-	-	209
210	[0, 0, 0, 0, 210] 0 19051200	{O} -	1	[-2488 : 4997 : 512]	6.46767239013478	-	210
211	[0, 0, 0, 0, 211] 0 19233072	{O} -	1	[450 : 3377 : 8]	5.48133936047363	-	211
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215	[0, 0, 0, 0, 215] 0 6656400	{O} -	1	[-284 : 723 : 64]	4.53069920549395	-	215
216	[0, 0, 0, 0, 216] 0 576	Z/2Z [-6, 0]	0	-	-	[-6, 0]	216
217	[0, 0, 0, 0, 217] 0 1695204	{O} -	2	[2 : 15 : 1], [-6 : 1 : 1]	1.26390346944258, 1.88030974609160	[-6, 1], [2, 15], [8, 27], [39, 244], [2928, 158437]	217
218	[0, 0, 0, 0, 218] 0 20530368	{O} -	1	[226 : 1207 : 8]	4.85951795077421	-	218
219	[0, 0, 0, 0, 219] 0 20719152	{O} -	1	[-46 : 43 : 8]	3.72607532411354	-	219
220	[0, 0, 0, 0, 220] 0 1306800	{O} -	1	[-6 : 2 : 1]	1.65325279184264	[-6, 2], [741, 20171]	220
221	[0, 0, 0, 0, 221] 0 5274828	{O} -	1	[1085 : 5452 : 343]	6.20536525355739	-	221
222	[0, 0, 0, 0, 222] 0 21290688	{O} -	2	[146 : 635 : 8], [-745 : 401 : 125]	4.49827126447317, 5.56706323428121	-	222
223	[0, 0, 0, 0, 223] 0 21482928	{O} -	2	[-3 : 14 : 1], [192264 : -3725743 : 512]	2.29278337115647, 10.0971155537027	[-3, 14]	223
224	[0, 0, 0, 0, 224] 0 28224	{O} -	1	[1 : 15 : 1]	1.72120946129232	[1, 15]	224
225	[0, 0, 0, 0, 225] 0 24300	Z/3Z [0, 15]	2	[-6 : 3 : 1], [-5 : 10 : 1]	1.15843464752154, 1.25938149048711	[-6, 3], [-5, 10], [0, 15], [4, 17], [6, 21], [10, 35], [15, 60], [30, 165], [60, 465], [180, 2415], [336, 6159], [351, 6576], [720114, 611085363]	225
226	[0, 0, 0, 0, 226] 0 7354944	{O} -	1	[-1 : 15 : 1]	1.72341630199731	[-1, 15]	226
227	[0, 0, 0, 0, 227] 0 22260528	{O} -	1	[445 : 2062 : 125]	5.55480160296994	-	227
228	[0, 0, 0, 0, 228] 0 350892	{O} -	0	-	-	-	228
229	[0, 0, 0, 0, 229] 0 5663628	{O} -	2	[3 : 16 : 1], [10410 : 36839 : 1000]	2.31872172550812, 7.32500858846865	[3, 16]	229
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231	[0, 0, 0, 0, 231] 0 23051952	{O} -	0	-	-	-	231
232	[0, 0, 0, 0, 232] 0 1453248	{O} -	2	[-6 : 4 : 1], [9 : 31 : 1]	1.66872479090299, 2.63852334130217	[-6, 4], [9, 31]	232
233	[0, 0, 0, 0, 233] 0 1954404	{O} -	2	[-2 : 15 : 1], [-4 : 13 : 1]	1.28119468959797, 1.86168214857301	[-4, 13], [-2, 15], [7, 24], [202, 2871]	233
234	[0, 0, 0, 0, 234] 0 2628288	{O} -	1	[-46 : 53 : 8]	3.74551807462823	-	234
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236	[0, 0, 0, 0, 236] 0 1503792	{O} -	1	[5 : 19 : 1]	2.41104914256524	[5, 19]	236
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238	[0, 0, 0, 0, 238] 0 24470208	{O} -	1	[129 : 503 : 27]	4.59942175067734	-	238
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240	[0, 0, 0, 0, 240] 0 97200	{O} -	0	-	-	-	240
241	[0, 0, 0, 0, 241] 0 6272748	{O} -	1	[-6 : 5 : 1]	1.91089057577740	[-6, 5]	241
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248	[0, 0, 0, 0, 248] 0 1660608	{O} -	2	[2 : 16 : 1], [41 : 263 : 1]	1.62487590158324, 3.80824731106849	[2, 16], [41, 263]	248
249	[0, 0, 0, 0, 249] 0 6696108	{O} -	1	[28 : 149 : 1]	3.00957582927628	[28, 149]	249
250	[0, 0, 0, 0, 250] 0 43200	{O} -	0	-	-	-	250
251	[0, 0, 0, 0, 251] 0 9072144	{O} -	1	[25 : 126 : 1]	2.82652717044018	[25, 126]	251
252	[0, 0, 0, 0, 252] 0 190512	{O} -	2	[-6 : 6 : 1], [-3 : 15 : 1]	0.96050050583414, 1.59921481023304	[-6, 6], [-3, 15], [18, 78], [58, 442], [93, 897]	252
253	[0, 0, 0, 0, 253] 0 2304324	{O} -	0	-	-	-	253
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256	[0, 0, 0, 0, 256] 0 108	Z/3Z [0, 16]	0	-	-	[0, 16]	256
257	[0, 0, 0, 0, 257] 0 7133292	{O} -	1	[-1 : 16 : 1]	2.31333214705269	[-1, 16]	257
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260	[0, 0, 0, 0, 260] 0 152100	{O} -	2	[4 : 18 : 1], [-4 : 14 : 1]	0.91817017441341, 1.43353952695144	[-4, 14], [4, 18], [16, 66], [29, 157]	260
261	[0, 0, 0, 0, 261] 0 817452	{O} -	0	-	-	-	261
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263	[0, 0, 0, 0, 263] 0 29881008	{O} -	1	[867601 : 3274892 : 68921]	10.2841494519813	-	263
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265	[0, 0, 0, 0, 265] 0 7584300	{O} -	2	[-6 : 7 : 1], [18 : 133 : 8]	1.93872381446094, 3.73049988674447	[-6, 7]	265
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268	[0, 0, 0, 0, 268] 0 1939248	{O} -	2	[6 : 22 : 1], [258 : 1471 : 8]	1.79985929908469, 4.98368739523635	[6, 22]	268
269	[0, 0, 0, 0, 269] 0 2604996	{O} -	2	[-5 : 12 : 1], [11 : 40 : 1]	1.83682274612954, 2.77438694213284	[-5, 12], [11, 40]	269
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271	[0, 0, 0, 0, 271] 0 10575504	{O} -	1	[17 : 72 : 1]	2.52343253829182	[17, 72]	271
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280	[0, 0, 0, 0, 280] 0 705600	{O} -	1	[-6 : 8 : 1]	1.72388491999608	[-6, 8]	280
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282	[0, 0, 0, 0, 282] 0 34354368	{O} -	1	[7 : 25 : 1]	2.55775343969354	[7, 25]	282
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288	[0, 0, 0, 0, 288] 0 15552	{O} -	1	[1 : 17 : 1]	2.35356316853562	[1, 17]	288
289	[0, 0, 0, 0, 289] 0 10404	Z/3Z [0, 17]	1	[-4 : 15 : 1]	1.37920622039319	[-4, 15], [0, 17], [68, 561]	289
290	[0, 0, 0, 0, 290] 0 36331200	{O} -	1	[-1 : 17 : 1]	2.3552831354610	[-1, 17]	290
291	[0, 0, 0, 0, 291] 0 36582192	{O} -	1	[2786 : 51991 : 8]	7.25091883992521	-	291
292	[0, 0, 0, 0, 292] 0 575532	{O} -	0	-	-	-	292
293	[0, 0, 0, 0, 293] 0 9271692	{O} -	1	[1702760 : 8851003 : 64000]	10.8141394912322	-	293
294	[0, 0, 0, 0, 294] 0 762048	{O} -	2	[-5 : 13 : 1], [211 : 3065 : 1]	2.41305720940541, 5.37124379770206	[-5, 13], [211, 3065]	294
295	[0, 0, 0, 0, 295] 0 37594800	{O} -	2	[9 : 32 : 1], [324 : 1319 : 64]	2.67704766501422, 5.24322156762896	[9, 32]	295
296	[0, 0, 0, 0, 296] 0 788544	{O} -	1	[10 : 36 : 1]	1.49040166539690	[10, 36]	296
297	[0, 0, 0, 0, 297] 0 13068	{O} -	2	[-6 : 9 : 1], [-2 : 17 : 1]	0.50752461683362, 1.90955493724152	[-6, 9], [-2, 17], [3, 18], [4, 19], [12, 45], [34, 199], [48, 333], [1362, 50265], [93844, 28748141]	297
298	[0, 0, 0, 0, 298] 0 12787776	{O} -	1	[1155 : 4121 : 125]	5.91089059484207	-	298
299	[0, 0, 0, 0, 299] 0 38621232	{O} -	1	[7090 : -211069 : 8]	8.17793390886856	-	299
300	[0, 0, 0, 0, 300] 0 97200	{O} -	0	-	-	-	300
301	[0, 0, 0, 0, 301] 0 9784908	{O} -	0	-	-	-	301
302	[0, 0, 0, 0, 302] 0 39400128	{O} -	0	-	-	-	302
303	[0, 0, 0, 0, 303] 0 39661488	{O} -	2	[13 : 50 : 1], [-46 : 85 : 8]	2.89432645958724, 3.82202512637332	[13, 50]	303
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305	[0, 0, 0, 0, 305] 0 3348900	{O} -	0	-	-	-	305
306	[0, 0, 0, 0, 306] 0 4494528	{O} -	0	-	-	-	306
307	[0, 0, 0, 0, 307] 0 13571856	{O} -	1	[354 : 2359 : 8]	5.27033511847874	-	307
308	[0, 0, 0, 0, 308] 0 640332	{O} -	0	-	-	-	308
309	[0, 0, 0, 0, 309] 0 10311948	{O} -	0	-	-	-	309
310	[0, 0, 0, 0, 310] 0 41515200	{O} -	1	[-87 : 449 : 27]	4.59800513301037	-	310
311	[0, 0, 0, 0, 311] 0 41783472	{O} -	0	-	-	-	311
312	[0, 0, 0, 0, 312] 0 2628288	{O} -	0	-	-	-	312
313	[0, 0, 0, 0, 313] 0 10580652	{O} -	1	[6 : 23 : 1]	2.06697931409021	[6, 23]	313
314	[0, 0, 0, 0, 314] 0 14197824	{O} -	1	[50 : 189 : 8]	3.37905726476259	-	314
315	[0, 0, 0, 0, 315] 0 4762800	{O} -	1	[-7775 : 277262 : 15625]	8.81816380056779	-	315
316	[0, 0, 0, 0, 316] 0 898704	{O} -	3	[2 : 18 : 1], [-6 : 10 : 1], [-3 : 17 : 1]	1.15349048892759, 1.75966390236844, 2.40382788285401	[-6, 10], [-3, 17], [2, 18], [5, 21], [50, 354], [90, 854], [162, 2062]	316
317	[0, 0, 0, 0, 317] 0 10852812	{O} -	0	-	-	-	317
318	[0, 0, 0, 0, 318] 0 43685568	{O} -	1	[2979 : 14327 : 729]	6.84633654699499	-	318
319	[0, 0, 0, 0, 319] 0 43960752	{O} -	1	[121803045 : 974476946 : 53582633]	14.2682125329528	-	319
320	[0, 0, 0, 0, 320] 0 2700	{O} -	1	[-4 : 16 : 1]	1.03610657165260	[-4, 16]	320
321	[0, 0, 0, 0, 321] 0 11128428	{O} -	1	[-5 : 14 : 1]	2.43978453944126	[-5, 14]	321
322	[0, 0, 0, 0, 322] 0 44791488	{O} -	2	[162 : 743 : 8], [381 : 1511 : 27]	4.60658314992996, 5.15293833067180	-	322
323	[0, 0, 0, 0, 323] 0 15023376	{O} -	1	[1 : 18 : 1]	1.84219736344829	[1, 18]	323
324	[0, 0, 0, 0, 324] 0 972	Z/3Z [0, 18]	0	-	-	[0, 18]	324
325	[0, 0, 0, 0, 325] 0 152100	{O} -	1	[-1 : 18 : 1]	1.84373219429257	[-1, 18]	325
326	[0, 0, 0, 0, 326] 0 45911232	{O} -	1	[196113099 : 711100781 : 20346417]	13.9472176864664	-	326
327	[0, 0, 0, 0, 327] 0 46193328	{O} -	1	[-1146 : 2879 : 216]	6.03419780701784	-	327
328	[0, 0, 0, 0, 328] 0 2904768	{O} -	1	[-186 : 28 : 27]	3.98424768652777	-	328
329	[0, 0, 0, 0, 329] 0 11690028	{O} -	1	[8 : 29 : 1]	2.18012269240507	[8, 29]	329
330	[0, 0, 0, 0, 330] 0 47044800	{O} -	0	-	-	-	330
331	[0, 0, 0, 0, 331] 0 47330352	{O} -	2	[66 : 239 : 8], [-2289 : 1994 : 343]	4.04291578378087, 6.37065731551625	-	331
332	[0, 0, 0, 0, 332] 0 992016	{O} -	1	[-2 : 18 : 1]	1.16556995085159	[-2, 18]	332
333	[0, 0, 0, 0, 333] 0 1330668	{O} -	1	[7 : 26 : 1]	2.59275548747080	[7, 26]	333
334	[0, 0, 0, 0, 334] 0 16064064	{O} -	1	[3 : 19 : 1]	2.43388578344875	[3, 19]	334
335	[0, 0, 0, 0, 335] 0 48481200	{O} -	1	[106848103 : -518821912 : 4657463]	13.5580471891257	-	335
336	[0, 0, 0, 0, 336] 0 11907	{O} -	1	[4 : 20 : 1]	1.07843282672724	[4, 20]	336
337	[0, 0, 0, 0, 337] 0 12265452	{O} -	2	[-6 : 11 : 1], [24 : 119 : 1]	2.00983832714847, 2.89689186658223	[-6, 11], [24, 119]	337
338	[0, 0, 0, 0, 338] 0 292032	{O} -	0	-	-	-	338
339	[0, 0, 0, 0, 339] 0 49645872	{O} -	0	-	-	-	339
340	[0, 0, 0, 0, 340] 0 780300	{O} -	1	[-2373 : 1021 : 343]	6.38298472361178	-	340
341	[0, 0, 0, 0, 341] 0 4186116	{O} -	0	-	-	-	341
342	[0, 0, 0, 0, 342] 0 5614272	{O} -	1	[-1211 : 5921 : 343]	6.32814965063052	-	342
343	[0, 0, 0, 0, 343] 0 7056	Z/2Z [-7, 0]	1	[21 : 98 : 1]	1.30742458628234	[-7, 0], [21, 98]	343
344	[0, 0, 0, 0, 344] 0 3195072	{O} -	1	[-7 : 1 : 1]	2.49606224055417	[-7, 1]	344
345	[0, 0, 0, 0, 345] 0 12854700	{O} -	0	-	-	-	345
346	[0, 0, 0, 0, 346] 0 51717312	{O} -	3	[15 : 61 : 1], [-30 : 137 : 8], [159 : 2005 : 1]	3.00504387438971, 3.82944537277694, 5.09607040196155	[15, 61], [159, 2005]	346
347	[0, 0, 0, 0, 347] 0 52016688	{O} -	2	[-7 : 2 : 1], [183407 : -956972 : 6859]	2.49858626496590, 9.33863813345330	[-7, 2]	347
348	[0, 0, 0, 0, 348] 0 3269808	{O} -	0	-	-	-	348
349	[0, 0, 0, 0, 349] 0 13154508	{O} -	1	[-223113 : 376390 : 35937]	9.47905047893218	-	349
350	[0, 0, 0, 0, 350] 0 705600	{O} -	2	[-5 : 15 : 1], [11 : 41 : 1]	0.84392886418372, 2.81072248893623	[-5, 15], [11, 41]	350
351	[0, 0, 0, 0, 351] 0 73008	{O} -	1	[-3 : 18 : 1]	0.97265270986196	[-3, 18]	351
352	[0, 0, 0, 0, 352] 0 69696	{O} -	1	[-7 : 3 : 1]	1.95344152991598	[-7, 3]	352
353	[0, 0, 0, 0, 353] 0 13457772	{O} -	2	[2 : 19 : 1], [-4 : 17 : 1]	1.96960737910631, 1.99102486902686	[-4, 17], [2, 19], [38, 235], [117188, 40116655]	353
354	[0, 0, 0, 0, 354] 0 54136512	{O} -	1	[238365015 : 1566280459 : 5545233]	14.2149054874000	-	354
355	[0, 0, 0, 0, 355] 0 54442800	{O} -	1	[-156 : 1181 : 64]	5.20702061945886	-	355
356	[0, 0, 0, 0, 356] 0 855468	{O} -	1	[32 : 182 : 1]	2.67898637088199	[32, 182]	356
357	[0, 0, 0, 0, 357] 0 13764492	{O} -	1	[12396 : 46565 : 1728]	7.58622838899546	-	357
358	[0, 0, 0, 0, 358] 0 55366848	{O} -	0	-	-	-	358
359	[0, 0, 0, 0, 359] 0 18558864	{O} -	3	[-7 : 4 : 1], [5 : 22 : 1], [73 : 624 : 1]	2.50848109050675, 2.51964104200127, 3.80114601694478	[-7, 4], [5, 22], [73, 624]	359
360	[0, 0, 0, 0, 360] 0 388800	{O} -	2	[-6 : 12 : 1], [1 : 19 : 1]	1.06607132713452, 2.42740022509659	[-6, 12], [1, 19], [6, 24], [9, 33], [346, 6436]	360
361	[0, 0, 0, 0, 361] 0 12996	Z/3Z [0, 19]	0	-	-	[0, 19]	361
362	[0, 0, 0, 0, 362] 0 56611008	{O} -	1	[-1 : 19 : 1]	2.42877826900215	[-1, 19]	362
363	[0, 0, 0, 0, 363] 0 470448	{O} -	0	-	-	-	363
364	[0, 0, 0, 0, 364] 0 3577392	{O} -	1	[18 : 155 : 8]	3.83184083782360	-	364
365	[0, 0, 0, 0, 365] 0 14388300	{O} -	1	[-316 : 1001 : 64]	5.25062287865853	-	365
366	[0, 0, 0, 0, 366] 0 57868992	{O} -	2	[19 : 85 : 1], [388 : 1553 : 64]	3.18123640094796, 5.34205570962593	[19, 85]	366
367	[0, 0, 0, 0, 367] 0 58185648	{O} -	0	-	-	-	367
368	[0, 0, 0, 0, 368] 0 76176	{O} -	1	[-7 : 5 : 1]	2.51569982716180	[-7, 5]	368
369	[0, 0, 0, 0, 369] 0 1633932	{O} -	2	[-2 : 19 : 1], [10 : 37 : 1]	1.98046517270246, 2.30515464195321	[-2, 19], [10, 37]	369
370	[0, 0, 0, 0, 370] 0 19713600	{O} -	1	[6747 : 43883 : 2197]	7.59712135490742	-	370
371	[0, 0, 0, 0, 371] 0 59460912	{O} -	1	[-107510 : 209539 : 17576]	9.01881902851128	-	371
372	[0, 0, 0, 0, 372] 0 934092	{O} -	0	-	-	-	372
373	[0, 0, 0, 0, 373] 0 15025932	{O} -	2	[3 : 20 : 1], [1074 : 12445 : 8]	2.46808123783022, 6.31899492036631	[3, 20]	373
374	[0, 0, 0, 0, 374] 0 60426432	{O} -	0	-	-	-	374
375	[0, 0, 0, 0, 375] 0 97200	{O} -	0	-	-	-	375
376	[0, 0, 0, 0, 376] 0 3817152	{O} -	0	-	-	-	376
377	[0, 0, 0, 0, 377] 0 5116644	{O} -	2	[4 : 21 : 1], [22 : 105 : 1]	1.48677518418596, 2.28524485864593	[4, 21], [22, 105], [23, 112], [47044, 10203669]	377
378	[0, 0, 0, 0, 378] 0 84672	{O} -	0	-	-	-	378
379	[0, 0, 0, 0, 379] 0 20684304	{O} -	1	[-7 : 6 : 1]	1.97499395324522	[-7, 6]	379
380	[0, 0, 0, 0, 380] 0 3898800	{O} -	1	[26 : 134 : 1]	2.73861949973067	[26, 134]	380
381	[0, 0, 0, 0, 381] 0 15677388	{O} -	2	[-5 : 16 : 1], [290 : 1753 : 8]	2.49219836554786, 5.10065262372509	[-5, 16]	381
382	[0, 0, 0, 0, 382] 0 63039168	{O} -	1	[126638295 : -469804439 : 14706125]	13.7047617361819	-	382
383	[0, 0, 0, 0, 383] 0 63369648	{O} -	0	-	-	-	383
384	[0, 0, 0, 0, 384] 0 15552	{O} -	0	-	-	-	384
385	[0, 0, 0, 0, 385] 0 16008300	{O} -	1	[-6 : 13 : 1]	2.04961897551665	[-6, 13]	385
386	[0, 0, 0, 0, 386] 0 21455424	{O} -	1	[7 : 27 : 1]	2.07581730025730	[7, 27]	386
387	[0, 0, 0, 0, 387] 0 7188912	{O} -	0	-	-	-	387
388	[0, 0, 0, 0, 388] 0 338724	{O} -	2	[-4 : 18 : 1], [-3 : 19 : 1]	1.00930265262909, 2.46963542459543	[-4, 18], [-3, 19], [8, 30], [12, 46], [341, 6297], [1376, 51042]	388
389	[0, 0, 0, 0, 389] 0 16342668	{O} -	2	[35 : 208 : 1], [-15925 : 6274 : 2197]	3.68466191271536, 7.66616218043295	[35, 208]	389
390	[0, 0, 0, 0, 390] 0 65707200	{O} -	1	[695 : 2963 : 125]	5.78271982320276	-	390
391	[0, 0, 0, 0, 391] 0 66044592	{O} -	1	[23824650348 : 95004375515 : 3709478592]	17.2909187871219	-	391
392	[0, 0, 0, 0, 392] 0 84672	{O} -	2	[-7 : 7 : 1], [2 : 20 : 1]	1.23689221747024, 1.77248459052282	[-7, 7], [2, 20], [14, 56]	392
393	[0, 0, 0, 0, 393] 0 16680492	{O} -	1	[16 : 67 : 1]	2.60071146734054	[16, 67]	393
394	[0, 0, 0, 0, 394] 0 67061952	{O} -	0	-	-	-	394
395	[0, 0, 0, 0, 395] 0 22467600	{O} -	1	[2 : 159 : 8]	3.29223005595230	-	395
396	[0, 0, 0, 0, 396] 0 470448	{O} -	1	[70 : 586 : 1]	3.62001057522683	[70, 586]	396
397	[0, 0, 0, 0, 397] 0 5673924	{O} -	0	-	-	-	397
398	[0, 0, 0, 0, 398] 0 68430528	{O} -	1	[244562 : -993475 : 39304]	9.64960649149559	-	398
399	[0, 0, 0, 0, 399] 0 68774832	{O} -	1	[1 : 20 : 1]	2.46146241072906	[1, 20]	399
400	[0, 0, 0, 0, 400] 0 675	Z/3Z [0, 20]	0	-	-	[0, 20]	400
401	[0, 0, 0, 0, 401] 0 17366508	{O} -	1	[-1 : 20 : 1]	2.46270651251223	[-1, 20]	401
402	[0, 0, 0, 0, 402] 0 69812928	{O} -	0	-	-	-	402
403	[0, 0, 0, 0, 403] 0 70160688	{O} -	0	-	-	-	403
404	[0, 0, 0, 0, 404] 0 367236	{O} -	2	[13 : 51 : 1], [5 : 23 : 1]	2.37988891061782, 2.55154457707263	[5, 23], [13, 51]	404
405	[0, 0, 0, 0, 405] 0 24300	{O} -	1	[2 : 161 : 8]	3.84986693582935	-	405
406	[0, 0, 0, 0, 406] 0 23736384	{O} -	1	[107 : 1107 : 1]	4.16612607673833	[107, 1107]	406
407	[0, 0, 0, 0, 407] 0 71560368	{O} -	1	[-7 : 8 : 1]	2.54517243698796	[-7, 8]	407
408	[0, 0, 0, 0, 408] 0 4494528	{O} -	1	[-2 : 20 : 1]	1.78229686865294	[-2, 20]	408
409	[0, 0, 0, 0, 409] 0 18066348	{O} -	2	[6 : 25 : 1], [18 : 79 : 1]	2.13200075280208, 2.68855336365525	[6, 25], [18, 79]	409
410	[0, 0, 0, 0, 410] 0 72619200	{O} -	0	-	-	-	410
411	[0, 0, 0, 0, 411] 0 72973872	{O} -	0	-	-	-	411
412	[0, 0, 0, 0, 412] 0 4583088	{O} -	2	[-6 : 14 : 1], [2343 : 21833 : 27]	1.83891887557128, 6.71339115528080	[-6, 14]	412
413	[0, 0, 0, 0, 413] 0 6140484	{O} -	0	-	-	-	413
414	[0, 0, 0, 0, 414] 0 8227008	{O} -	2	[3 : 21 : 1], [-5 : 17 : 1]	1.76814496908181, 2.51773748119842	[-5, 17], [3, 21], [3075, 170517]	414
415	[0, 0, 0, 0, 415] 0 24800400	{O} -	1	[82 : 309 : 8]	3.63600687717364	-	415
416	[0, 0, 0, 0, 416] 0 292032	{O} -	1	[17 : 73 : 1]	3.11108677217667	[17, 73]	416
417	[0, 0, 0, 0, 417] 0 18780012	{O} -	0	-	-	-	417
418	[0, 0, 0, 0, 418] 0 75480768	{O} -	1	[597 : 2861 : 27]	5.50523134487637	-	418
419	[0, 0, 0, 0, 419] 0 75842352	{O} -	0	-	-	-	419
420	[0, 0, 0, 0, 420] 0 1190700	{O} -	1	[4 : 22 : 1]	1.60570035924363	[4, 22]	420
421	[0, 0, 0, 0, 421] 0 19142028	{O} -	1	[1608 : 10885 : 512]	6.66769104202505	-	421
422	[0, 0, 0, 0, 422] 0 25644096	{O} -	1	[146 : 645 : 8]	4.00052431497586	-	422
423	[0, 0, 0, 0, 423] 0 8588592	{O} -	1	[37 : 226 : 1]	3.73665659653474	[37, 226]	423
424	[0, 0, 0, 0, 424] 0 1617984	{O} -	1	[-7 : 9 : 1]	2.00788684009775	[-7, 9]	424
425	[0, 0, 0, 0, 425] 0 780300	{O} -	1	[-4 : 19 : 1]	2.04938504686373	[-4, 19]	425
426	[0, 0, 0, 0, 426] 0 78397632	{O} -	1	[-9786413 : -562834523 : 27270901]	13.8948058012376	-	426
427	[0, 0, 0, 0, 427] 0 78766128	{O} -	3	[-3 : 20 : 1], [9 : 34 : 1], [23646 : 89629 : 2744]	2.50043781536258, 2.74244050938600, 8.00196080605043	[-3, 20], [9, 34], [30333, 5282908]	427
428	[0, 0, 0, 0, 428] 0 4945968	{O} -	0	-	-	-	428
429	[0, 0, 0, 0, 429] 0 19876428	{O} -	1	[-2961 : 13870 : 729]	6.90972148988671	-	429
430	[0, 0, 0, 0, 430] 0 79876800	{O} -	0	-	-	-	430
431	[0, 0, 0, 0, 431] 0 26749584	{O} -	1	[1302 : 5507 : 216]	6.19188862572455	-	431
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433	[0, 0, 0, 0, 433] 0 6749604	{O} -	2	[2 : 21 : 1], [11 : 42 : 1]	1.48649929551327, 2.29328806853098	[2, 21], [11, 42], [36, 217]	433
434	[0, 0, 0, 0, 434] 0 81369792	{O} -	1	[-1015 : 6929 : 343]	6.39703282999682	-	434
435	[0, 0, 0, 0, 435] 0 81745200	{O} -	1	[-13403 : 31682 : 2197]	7.67992749950087	-	435
436	[0, 0, 0, 0, 436] 0 1283148	{O} -	0	-	-	-	436
437	[0, 0, 0, 0, 437] 0 20624652	{O} -	1	[-412 : 835 : 64]	5.32942635291004	-	437
438	[0, 0, 0, 0, 438] 0 82876608	{O} -	0	-	-	-	438
439	[0, 0, 0, 0, 439] 0 83255472	{O} -	0	-	-	-	439
440	[0, 0, 0, 0, 440] 0 1742400	{O} -	1	[1 : 21 : 1]	1.94456245107726	[1, 21]	440
441	[0, 0, 0, 0, 441] 0 47628	Z/3Z [0, 21]	1	[-6 : 15 : 1]	1.35804736829608	[-6, 15], [0, 21], [7, -28], [42, 273]	441
442	[0, 0, 0, 0, 442] 0 28132416	{O} -	1	[-1 : 21 : 1]	1.94569122479200	[-1, 21]	442
443	[0, 0, 0, 0, 443] 0 84779568	{O} -	3	[-7 : 10 : 1], [77 : 676 : 1], [644 : 2447 : 64]	2.57010022598373, 4.40481450071541, 5.57334188525275	[-7, 10], [77, 676]	443
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445	[0, 0, 0, 0, 445] 0 21386700	{O} -	0	-	-	-	445
446	[0, 0, 0, 0, 446] 0 85931712	{O} -	0	-	-	-	446
447	[0, 0, 0, 0, 447] 0 86317488	{O} -	0	-	-	-	447
448	[0, 0, 0, 0, 448] 0 21168	{O} -	0	-	-	-	448
449	[0, 0, 0, 0, 449] 0 7257636	{O} -	2	[-2 : 21 : 1], [-5 : 18 : 1]	1.49540993352836, 1.99346295170779	[-5, 18], [-2, 21], [8, 31], [176, 2335]	449
450	[0, 0, 0, 0, 450] 0 388800	{O} -	0	-	-	-	450
451	[0, 0, 0, 0, 451] 0 29289744	{O} -	1	[5 : 24 : 1]	2.03244961413358	[5, 24]	451
452	[0, 0, 0, 0, 452] 0 1379052	{O} -	0	-	-	-	452
453	[0, 0, 0, 0, 453] 0 22162572	{O} -	0	-	-	-	453
454	[0, 0, 0, 0, 454] 0 89042112	{O} -	1	[-45 : 15533 : 729]	6.8959228826555	-	454
455	[0, 0, 0, 0, 455] 0 89434800	{O} -	0	-	-	-	455
456	[0, 0, 0, 0, 456] 0 5614272	{O} -	0	-	-	-	456
457	[0, 0, 0, 0, 457] 0 22555692	{O} -	1	[3 : 22 : 1]	2.53147267017642	[3, 22]	457
458	[0, 0, 0, 0, 458] 0 30206016	{O} -	1	[34 : 185 : 8]	3.94882606859284	-	458
459	[0, 0, 0, 0, 459] 0 41616	{O} -	0	-	-	-	459
460	[0, 0, 0, 0, 460] 0 1904400	{O} -	1	[6 : 26 : 1]	1.93059945136071	[6, 26]	460
461	[0, 0, 0, 0, 461] 0 22952268	{O} -	0	-	-	-	461
462	[0, 0, 0, 0, 462] 0 92207808	{O} -	1	[514148 : -6790363 : 314432]	10.9539506167128	-	462
463	[0, 0, 0, 0, 463] 0 92607408	{O} -	1	[-696 : 10987 : 512]	6.67119107208418	-	463
464	[0, 0, 0, 0, 464] 0 22707	{O} -	2	[-4 : 20 : 1], [-7 : 11 : 1]	1.15290348819603, 2.58377065610895	[-7, 11], [-4, 20], [20, 92]	464
465	[0, 0, 0, 0, 465] 0 23352300	{O} -	1	[4 : 23 : 1]	2.09796537383865	[4, 23]	465
466	[0, 0, 0, 0, 466] 0 93811392	{O} -	0	-	-	-	466
467	[0, 0, 0, 0, 467] 0 31404816	{O} -	1	[205 : 2714 : 125]	5.73738897957465	-	467
468	[0, 0, 0, 0, 468] 0 164268	{O} -	1	[-3 : 21 : 1]	1.79756888160114	[-3, 21]	468
469	[0, 0, 0, 0, 469] 0 7918596	{O} -	2	[15 : 62 : 1], [-62 : 15 : 8]	3.03829946823916, 3.43617391406180	[15, 62]	469
470	[0, 0, 0, 0, 470] 0 95428800	{O} -	1	[-62 : 17 : 8]	3.98609923748147	-	470
471	[0, 0, 0, 0, 471] 0 95835312	{O} -	1	[37452 : 178345 : 1728]	8.27132819280359	-	471
472	[0, 0, 0, 0, 472] 0 6015168	{O} -	1	[-6 : 16 : 1]	1.87993257978616	[-6, 16]	472
473	[0, 0, 0, 0, 473] 0 24162732	{O} -	1	[-14 : 173 : 8]	3.90825486432063	-	473
474	[0, 0, 0, 0, 474] 0 97060032	{O} -	0	-	-	-	474
475	[0, 0, 0, 0, 475] 0 3898800	{O} -	1	[255 : 980 : 27]	3.90782730081765	-	475
476	[0, 0, 0, 0, 476] 0 2039184	{O} -	1	[2 : 22 : 1]	1.83552887546888	[2, 22]	476
477	[0, 0, 0, 0, 477] 0 2730348	{O} -	0	-	-	-	477
478	[0, 0, 0, 0, 478] 0 32901696	{O} -	1	[68 : 1401 : 64]	4.7449639959195	-	478
479	[0, 0, 0, 0, 479] 0 99118512	{O} -	1	[75 : 604 : 27]	4.73939502377029	-	479
480	[0, 0, 0, 0, 480] 0 388800	{O} -	1	[-8701 : 18853 : 1331]	7.38226511247599	-	480
481	[0, 0, 0, 0, 481] 0 24986988	{O} -	2	[12 : 47 : 1], [27 : 142 : 1]	2.44393358379584, 3.47692364322871	[12, 47], [27, 142]	481
482	[0, 0, 0, 0, 482] 0 100363968	{O} -	0	-	-	-	482
483	[0, 0, 0, 0, 483] 0 100780848	{O} -	2	[1 : 22 : 1], [386 : 2687 : 8]	2.52477243507414, 5.36321070518817	[1, 22]	483
484	[0, 0, 0, 0, 484] 0 13068	Z/3Z [0, 22]	0	-	-	[0, 22]	484
485	[0, 0, 0, 0, 485] 0 8468100	{O} -	2	[-1 : 22 : 1], [31 : 174 : 1]	2.52580119972624, 3.04235341500726	[-1, 22], [31, 174]	485
486	[0, 0, 0, 0, 486] 0 15552	{O} -	1	[-5 : 19 : 1]	2.56726643492729	[-5, 19]	486
487	[0, 0, 0, 0, 487] 0 34152336	{O} -	1	[-7 : 12 : 1]	2.04878061122283	[-7, 12]	487
488	[0, 0, 0, 0, 488] 0 6429888	{O} -	1	[219 : 863 : 27]	4.92453760874161	-	488
489	[0, 0, 0, 0, 489] 0 25825068	{O} -	0	-	-	-	489
490	[0, 0, 0, 0, 490] 0 2116800	{O} -	1	[-2247 : 4957 : 343]	6.48468191650055	-	490
491	[0, 0, 0, 0, 491] 0 104146992	{O} -	0	-	-	-	491
492	[0, 0, 0, 0, 492] 0 6535728	{O} -	2	[-2 : 22 : 1], [118 : 1282 : 1]	1.84365653451118, 4.11872172117090	[-2, 22], [118, 1282]	492
493	[0, 0, 0, 0, 493] 0 26249292	{O} -	1	[-405 : 2678 : 125]	5.76824229781205	-	493
494	[0, 0, 0, 0, 494] 0 35141184	{O} -	1	[15176 : 83403 : 512]	7.16481931002521	-	494
495	[0, 0, 0, 0, 495] 0 11761200	{O} -	0	-	-	-	495
496	[0, 0, 0, 0, 496] 0 138384	{O} -	1	[9 : 35 : 1]	2.77108344080665	[9, 35]	496
497	[0, 0, 0, 0, 497] 0 26676972	{O} -	0	-	-	-	497
498	[0, 0, 0, 0, 498] 0 107137728	{O} -	1	[7 : 29 : 1]	2.68368796625897	[7, 29]	498
499	[0, 0, 0, 0, 499] 0 107568432	{O} -	1	[-30 : 169 : 8]	3.94543548820063	-	499
500	[0, 0, 0, 0, 500] 0 2700	{O} -	1	[5 : 25 : 1]	1.00103007672857	[5, 25]	500
501	[0, 0, 0, 0, 501] 0 27108108	{O} -	1	[6477492945 : -36956664172 : 1540798875]	16.6913633019015	-	501
502	[0, 0, 0, 0, 502] 0 108865728	{O} -	2	[3 : 23 : 1], [833346 : -9962461 : 5832]	2.56098584141807, 10.7770616124625	[3, 23]	502
503	[0, 0, 0, 0, 503] 0 36433296	{O} -	1	[-62 : 49 : 8]	4.00586599694398	-	503
504	[0, 0, 0, 0, 504] 0 762048	{O} -	1	[25 : 127 : 1]	3.41801341021057	[25, 127]	504
505	[0, 0, 0, 0, 505] 0 9180900	{O} -	2	[-4 : 21 : 1], [-6 : 17 : 1]	1.55458738973522, 2.13146344307106	[-6, 17], [-4, 21], [14, 57], [371, 7146]	505
506	[0, 0, 0, 0, 506] 0 110607552	{O} -	3	[-14 : 179 : 8], [47 : 323 : 1], [740 : 2899 : 64]	3.93045397691981, 3.95499753480403, 5.66601545790164	[47, 323]	506
507	[0, 0, 0, 0, 507] 0 657072	{O} -	1	[13 : 52 : 1]	1.24936932546860	[13, 52]	507
508	[0, 0, 0, 0, 508] 0 6967728	{O} -	1	[105 : 2819 : 125]	5.75960182163577	-	508
509	[0, 0, 0, 0, 509] 0 27980748	{O} -	1	[-508 : 191 : 64]	5.39862508520869	-	509
510	[0, 0, 0, 0, 510] 0 112363200	{O} -	0	-	-	-	510
511	[0, 0, 0, 0, 511] 0 112804272	{O} -	2	[-3 : 22 : 1], [30495 : 167854 : 6859]	2.55834465831995, 8.48896932093218	[-3, 22]	511
512	[0, 0, 0, 0, 512] 0 576	Z/2Z [-8, 0]	1	[4 : 24 : 1]	0.65323467754297	[-8, 0], [-7, 13], [4, 24], [8, 32], [184, 2496]	512
513	[0, 0, 0, 0, 513] 0 12996	{O} -	1	[6 : 27 : 1]	0.54180413508532	[-8, 1], [6, 27], [9232, 887041]	513
514	[0, 0, 0, 0, 514] 0 38044224	{O} -	1	[114 : 467 : 8]	4.40291059619061	-	514
515	[0, 0, 0, 0, 515] 0 114577200	{O} -	1	[-81742071012 : 27703916893 : 10246592448]	17.9968926957649	-	515
516	[0, 0, 0, 0, 516] 0 1797228	{O} -	2	[-8 : 2 : 1], [40 : 254 : 1]	1.70681312401581, 2.88893700018598	[-8, 2], [40, 254], [2320, 111746]	516
517	[0, 0, 0, 0, 517] 0 28867212	{O} -	0	-	-	-	517
518	[0, 0, 0, 0, 518] 0 115915968	{O} -	2	[11 : 43 : 1], [-43752 : 304849 : 13824]	2.87125441232659, 8.92057282342142	[11, 43]	518
519	[0, 0, 0, 0, 519] 0 116363952	{O} -	2	[50 : 221 : 8], [133 : 1534 : 1]	4.05040696760779, 4.92753887333877	[133, 1534]	519
520	[0, 0, 0, 0, 520] 0 7300800	{O} -	0	-	-	-	520
521	[0, 0, 0, 0, 521] 0 9771876	{O} -	2	[-8 : 3 : 1], [2 : 23 : 1]	1.62240910366349, 2.09598528942635	[-8, 3], [2, 23], [10, 39], [1040, 33539]	521
522	[0, 0, 0, 0, 522] 0 13079232	{O} -	0	-	-	-	522
523	[0, 0, 0, 0, 523] 0 39388176	{O} -	1	[11143 : 44340 : 1331]	7.00002306857286	-	523
524	[0, 0, 0, 0, 524] 0 7413552	{O} -	1	[327 : 1295 : 27]	5.12109448624520	-	524
525	[0, 0, 0, 0, 525] 0 1190700	{O} -	1	[-5 : 20 : 1]	1.51825572169754	[-5, 20]	525
526	[0, 0, 0, 0, 526] 0 119524032	{O} -	1	[98505 : -847969 : 1331]	9.16720953743735	-	526
527	[0, 0, 0, 0, 527] 0 119978928	{O} -	0	-	-	-	527
528	[0, 0, 0, 0, 528] 0 29403	{O} -	2	[-8 : 4 : 1], [1 : 23 : 1]	1.25140234414871, 2.55430713111350	[-8, 4], [1, 23], [16, 68], [592, 14404]	528
529	[0, 0, 0, 0, 529] 0 57132	Z/3Z [0, 23]	0	-	-	[0, 23]	529
530	[0, 0, 0, 0, 530] 0 40449600	{O} -	1	[-1 : 23 : 1]	2.55524860862952	[-1, 23]	530
531	[0, 0, 0, 0, 531] 0 13534128	{O} -	1	[85 : 784 : 1]	4.50135083158036	[85, 784]	531
532	[0, 0, 0, 0, 532] 0 636804	{O} -	0	-	-	-	532
533	[0, 0, 0, 0, 533] 0 30681612	{O} -	0	-	-	-	533
534	[0, 0, 0, 0, 534] 0 123187392	{O} -	1	[123434549 : 4256066293 : 103823]	14.7852709249778	-	534
535	[0, 0, 0, 0, 535] 0 123649200	{O} -	1	[18 : 187 : 8]	3.95599148423074	-	535
536	[0, 0, 0, 0, 536] 0 7756992	{O} -	0	-	-	-	536
537	[0, 0, 0, 0, 537] 0 31143852	{O} -	3	[-2 : 23 : 1], [-8 : 5 : 1], [124 : 1381 : 1]	2.10342870380084, 2.18052081715251, 4.39853365105453	[-8, 5], [-2, 23], [19, 86], [124, 1381]	537
538	[0, 0, 0, 0, 538] 0 125039808	{O} -	0	-	-	-	538
539	[0, 0, 0, 0, 539] 0 853776	{O} -	1	[-7 : 14 : 1]	1.33095206179877	[-7, 14]	539
540	[0, 0, 0, 0, 540] 0 10800	{O} -	1	[-6 : 18 : 1]	0.45596804135864	[-6, 18], [21, 99]	540
541	[0, 0, 0, 0, 541] 0 10536516	{O} -	0	-	-	-	541
542	[0, 0, 0, 0, 542] 0 126906048	{O} -	1	[34 : 199 : 8]	3.99846612321349	-	542
543	[0, 0, 0, 0, 543] 0 127374768	{O} -	1	[1358836612259 : -6508178485058 : 242853829919]	20.1298359877797	-	543
544	[0, 0, 0, 0, 544] 0 499392	{O} -	1	[33 : 191 : 1]	3.65032738815854	[33, 191]	544
545	[0, 0, 0, 0, 545] 0 32078700	{O} -	1	[74 : 637 : 1]	3.91002063934169	[74, 637]	545
546	[0, 0, 0, 0, 546] 0 128786112	{O} -	0	-	-	-	546
547	[0, 0, 0, 0, 547] 0 129258288	{O} -	0	-	-	-	547
548	[0, 0, 0, 0, 548] 0 675684	{O} -	2	[-8 : 6 : 1], [-4 : 22 : 1]	1.17502814878106, 1.66771146372561	[-8, 6], [-4, 22], [28, 150], [61, 477], [272, 4486]	548
549	[0, 0, 0, 0, 549] 0 3616812	{O} -	1	[3 : 24 : 1]	1.85681030320409	[3, 24]	549
550	[0, 0, 0, 0, 550] 0 1742400	{O} -	0	-	-	-	550
551	[0, 0, 0, 0, 551] 0 131155632	{O} -	1	[5 : 26 : 1]	2.63784057542051	[5, 26]	551
552	[0, 0, 0, 0, 552] 0 8227008	{O} -	1	[24262 : 204212 : 343]	7.52912536076300	-	552
553	[0, 0, 0, 0, 553] 0 33027372	{O} -	0	-	-	-	553
554	[0, 0, 0, 0, 554] 0 132587712	{O} -	0	-	-	-	554
555	[0, 0, 0, 0, 555] 0 133066800	{O} -	0	-	-	-	555
556	[0, 0, 0, 0, 556] 0 8346672	{O} -	2	[-3 : 23 : 1], [30 : 166 : 1]	2.58562351351298, 2.87885893633673	[-3, 23], [30, 166]	556
557	[0, 0, 0, 0, 557] 0 11168964	{O} -	2	[7 : 30 : 1], [301 : 8100 : 343]	2.16117762142649, 5.91398361079532	[7, 30]	557
558	[0, 0, 0, 0, 558] 0 14945472	{O} -	1	[72162 : -288811 : 5832]	8.72582997323306	-	558
559	[0, 0, 0, 0, 559] 0 44997264	{O} -	1	[-995 : 924 : 125]	5.32328201179563	-	559
560	[0, 0, 0, 0, 560] 0 529200	{O} -	1	[-155 : 2953 : 125]	5.79348485380108	-	560
561	[0, 0, 0, 0, 561] 0 33989868	{O} -	2	[4 : 25 : 1], [-8 : 7 : 1]	2.15424514251740, 2.19327634573212	[-8, 7], [4, 25]	561
562	[0, 0, 0, 0, 562] 0 136444608	{O} -	1	[19344 : 105811 : 4096]	8.18065371691091	-	562
563	[0, 0, 0, 0, 563] 0 136930608	{O} -	2	[17 : 74 : 1], [-62 : 79 : 8]	3.14196195810530, 4.03886221734513	[17, 74]	563
564	[0, 0, 0, 0, 564] 0 2147148	{O} -	1	[-51135 : 184213 : 9261]	8.70955327845965	-	564
565	[0, 0, 0, 0, 565] 0 34476300	{O} -	1	[214920054 : 2032030859 : 2406104]	14.3449575729024	-	565
566	[0, 0, 0, 0, 566] 0 46131264	{O} -	1	[-5 : 21 : 1]	2.06530031036381	[-5, 21]	566
567	[0, 0, 0, 0, 567] 0 190512	{O} -	1	[9 : 36 : 1]	1.33290831203166	[9, 36]	567
568	[0, 0, 0, 0, 568] 0 2903616	{O} -	3	[2 : 24 : 1], [-7 : 15 : 1], [18 : 80 : 1]	1.34378907836568, 2.09454927455474, 2.48896111264712	[-7, 15], [2, 24], [6, 28], [18, 80], [57, 431], [161, 2043], [1137, 38339]	568
569	[0, 0, 0, 0, 569] 0 34966188	{O} -	0	-	-	-	569
570	[0, 0, 0, 0, 570] 0 140356800	{O} -	1	[2 : 191 : 8]	3.96374666972687	-	570
571	[0, 0, 0, 0, 571] 0 140849712	{O} -	1	[399 : 1664 : 27]	5.24971294767146	-	571
572	[0, 0, 0, 0, 572] 0 8833968	{O} -	0	-	-	-	572
573	[0, 0, 0, 0, 573] 0 35459532	{O} -	1	[104086905 : 428471792 : 7414875]	13.5674914748194	-	573
574	[0, 0, 0, 0, 574] 0 142333632	{O} -	2	[51 : 365 : 1], [-348 : 1301 : 64]	4.03256027572073, 5.39737433069935	[51, 365]	574
575	[0, 0, 0, 0, 575] 0 1904400	{O} -	2	[1 : 24 : 1], [29 : 158 : 1]	2.03328276532991, 3.54617684611992	[1, 24], [29, 158]	575
576	[0, 0, 0, 0, 576] 0 972	Z/3Z [0, 24]	1	[-8 : 8 : 1]	0.81469544056682	[-8, 8], [0, 24], [12, 48], [24, 120], [160, 2024]	576
577	[0, 0, 0, 0, 577] 0 11985444	{O} -	2	[-1 : 24 : 1], [-6 : 19 : 1]	2.03414760837244, 2.17203740031350	[-6, 19], [-1, 24], [8, 33]	577
578	[0, 0, 0, 0, 578] 0 499392	{O} -	0	-	-	-	578
579	[0, 0, 0, 0, 579] 0 144824112	{O} -	1	[183995036 : 981328997 : 6644672]	13.9819834981602	-	579
580	[0, 0, 0, 0, 580] 0 2270700	{O} -	0	-	-	-	580
581	[0, 0, 0, 0, 581] 0 36456588	{O} -	1	[14671 : 121106 : 4913]	8.27333835169688	-	581
582	[0, 0, 0, 0, 582] 0 146328768	{O} -	2	[43 : 283 : 1], [2 : 193 : 8]	3.88146483661910, 3.97068939019294	[43, 283]	582
583	[0, 0, 0, 0, 583] 0 146832048	{O} -	0	-	-	-	583
584	[0, 0, 0, 0, 584] 0 3069504	{O} -	1	[-2 : 24 : 1]	1.35063106675300	[-2, 24]	584
585	[0, 0, 0, 0, 585] 0 4106700	{O} -	0	-	-	-	585
586	[0, 0, 0, 0, 586] 0 49449024	{O} -	1	[66 : 271 : 8]	4.15904288623094	-	586
587	[0, 0, 0, 0, 587] 0 148853808	{O} -	1	[3208 : 14777 : 512]	6.85526845279998	-	587
588	[0, 0, 0, 0, 588] 0 190512	{O} -	1	[22 : 106 : 1]	2.63751337713027	[22, 106]	588
589	[0, 0, 0, 0, 589] 0 37467468	{O} -	0	-	-	-	589
590	[0, 0, 0, 0, 590] 0 150379200	{O} -	0	-	-	-	590
591	[0, 0, 0, 0, 591] 0 150889392	{O} -	0	-	-	-	591
592	[0, 0, 0, 0, 592] 0 36963	{O} -	0	-	-	-	592
593	[0, 0, 0, 0, 593] 0 12659364	{O} -	2	[-8 : 9 : 1], [-4 : 23 : 1]	1.66019977216126, 2.15489052075690	[-8, 9], [-4, 23], [76, 663]	593
594	[0, 0, 0, 0, 594] 0 209088	{O} -	1	[15 : 63 : 1]	1.60193331956998	[15, 63]	594
595	[0, 0, 0, 0, 595] 0 50979600	{O} -	1	[18 : 197 : 8]	3.99044865363962	-	595
596	[0, 0, 0, 0, 596] 0 2397708	{O} -	0	-	-	-	596
597	[0, 0, 0, 0, 597] 0 38492172	{O} -	0	-	-	-	597
598	[0, 0, 0, 0, 598] 0 154484928	{O} -	1	[3 : 25 : 1]	2.61627986449934	[3, 25]	598
599	[0, 0, 0, 0, 599] 0 155002032	{O} -	2	[-7 : 16 : 1], [-16320508176 : 52402790827 : 2697228288]	2.65974624833570, 17.1232637809649	[-7, 16]	599
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601	[0, 0, 0, 0, 601] 0 39009708	{O} -	1	[48 : 665 : 27]	4.33767361913456	-	601
602	[0, 0, 0, 0, 602] 0 52186176	{O} -	1	[23 : 113 : 1]	3.36619770499899	[23, 113]	602
603	[0, 0, 0, 0, 603] 0 17453232	{O} -	2	[-3 : 24 : 1], [66 : 273 : 8]	1.87948070387354, 3.43292184306808	[-3, 24]	603
604	[0, 0, 0, 0, 604] 0 3283344	{O} -	1	[5 : 27 : 1]	2.11470053450201	[5, 27]	604
605	[0, 0, 0, 0, 605] 0 326700	{O} -	1	[11 : 44 : 1]	1.29886845157136	[11, 44]	605
606	[0, 0, 0, 0, 606] 0 158645952	{O} -	1	[956655 : 3826223 : 91125]	10.4891766939539	-	606
607	[0, 0, 0, 0, 607] 0 159169968	{O} -	1	[-69 : 656 : 27]	4.80728971654063	-	607
608	[0, 0, 0, 0, 608] 0 623808	{O} -	0	-	-	-	608
609	[0, 0, 0, 0, 609] 0 40055148	{O} -	1	[-5 : 22 : 1]	2.63744314662627	[-5, 22]	609
610	[0, 0, 0, 0, 610] 0 160747200	{O} -	2	[-123 : 613 : 27], [1122 : 13289 : 8]	4.82968800052511, 6.36693949977093	-	610
611	[0, 0, 0, 0, 611] 0 53758224	{O} -	1	[183 : 820 : 27]	4.92215552880960	-	611
612	[0, 0, 0, 0, 612] 0 280908	{O} -	2	[4 : 26 : 1], [-8 : 10 : 1]	1.71850433038123, 1.75665731639347	[-8, 10], [4, 26], [13, 53]	612
613	[0, 0, 0, 0, 613] 0 13527684	{O} -	0	-	-	-	613
614	[0, 0, 0, 0, 614] 0 162862272	{O} -	1	[9617536 : -55898047 : 2097152]	12.3617119800172	-	614
615	[0, 0, 0, 0, 615] 0 163393200	{O} -	1	[13404304 : 766807643 : 4096]	13.6400958828275	-	615
616	[0, 0, 0, 0, 616] 0 10245312	{O} -	1	[-6 : 20 : 1]	1.96098290756125	[-6, 20]	616
617	[0, 0, 0, 0, 617] 0 41114412	{O} -	1	[2 : 25 : 1]	2.15115722448318	[2, 25]	617
618	[0, 0, 0, 0, 618] 0 164991168	{O} -	2	[7 : 31 : 1], [53598006 : 238900085 : 7762392]	2.73591053771990, 13.3089473009697	[7, 31], [421351, 273505487]	618
619	[0, 0, 0, 0, 619] 0 165525552	{O} -	0	-	-	-	619
620	[0, 0, 0, 0, 620] 0 3459600	{O} -	1	[14 : 58 : 1]	2.33739192795436	[14, 58]	620
621	[0, 0, 0, 0, 621] 0 57132	{O} -	1	[-195 : 422 : 27]	4.87097448407615	-	621
622	[0, 0, 0, 0, 622] 0 55711296	{O} -	1	[219 : 3241 : 1]	5.41305165578034	[219, 3241]	622
623	[0, 0, 0, 0, 623] 0 167671728	{O} -	1	[-3380843 : 15962570 : 704969]	11.6192865897104	-	623
624	[0, 0, 0, 0, 624] 0 657072	{O} -	1	[1 : 25 : 1]	2.60971979066128	[1, 25]	624
625	[0, 0, 0, 0, 625] 0 2700	Z/3Z [0, 25]	1	[6 : 29 : 1]	2.24186477149604	[0, 25], [6, 29], [75, 650]	625
626	[0, 0, 0, 0, 626] 0 169290432	{O} -	2	[-1 : 25 : 1], [1965 : 16777 : 27]	2.61051698678286, 6.55712547307447	[-1, 25]	626
627	[0, 0, 0, 0, 627] 0 169831728	{O} -	0	-	-	-	627
628	[0, 0, 0, 0, 628] 0 2662092	{O} -	1	[132 : 1615 : 64]	5.39224676452164	-	628
629	[0, 0, 0, 0, 629] 0 14243076	{O} -	0	-	-	-	629
630	[0, 0, 0, 0, 630] 0 19051200	{O} -	0	-	-	-	630
631	[0, 0, 0, 0, 631] 0 57335184	{O} -	1	[89 : 840 : 1]	3.99871295457318	[89, 840]	631
632	[0, 0, 0, 0, 632] 0 10784448	{O} -	1	[-7 : 17 : 1]	2.67582499837724	[-7, 17]	632
633	[0, 0, 0, 0, 633] 0 43274412	{O} -	2	[-2 : 25 : 1], [-8 : 11 : 1]	2.15746777028814, 2.22866824939311	[-8, 11], [-2, 25], [46, 313]	633
634	[0, 0, 0, 0, 634] 0 173644992	{O} -	1	[85415997918321 : 352777792832047 : 6252893852967]	22.6620638698721	-	634
635	[0, 0, 0, 0, 635] 0 174193200	{O} -	2	[82 : 331 : 8], [269 : 4412 : 1]	4.26003896640059, 5.61436709547490	[269, 4412]	635
636	[0, 0, 0, 0, 636] 0 10921392	{O} -	0	-	-	-	636
637	[0, 0, 0, 0, 637] 0 894348	{O} -	1	[-645 : 2794 : 125]	5.87235980859899	-	637
638	[0, 0, 0, 0, 638] 0 58614336	{O} -	1	[67 : 549 : 1]	3.73466836071927	[67, 549]	638
639	[0, 0, 0, 0, 639] 0 19599408	{O} -	1	[434 : 3203 : 8]	5.47802090458339	-	639
640	[0, 0, 0, 0, 640] 0 14400	{O} -	1	[-4 : 24 : 1]	0.70567545070452	[-4, 24], [9, 37]	640
641	[0, 0, 0, 0, 641] 0 44375148	{O} -	0	-	-	-	641
642	[0, 0, 0, 0, 642] 0 178054848	{O} -	1	[-90984 : 261161 : 13824]	9.03080684350576	-	642
643	[0, 0, 0, 0, 643] 0 178609968	{O} -	1	[1178341518 : 4986051455 : 145531576]	15.3178604502230	-	643
644	[0, 0, 0, 0, 644] 0 2799468	{O} -	1	[8 : 34 : 1]	1.85961763499252	[8, 34]	644
645	[0, 0, 0, 0, 645] 0 44930700	{O} -	1	[-426 : 5453 : 216]	6.20907378226819	-	645
646	[0, 0, 0, 0, 646] 0 180280512	{O} -	0	-	-	-	646
647	[0, 0, 0, 0, 647] 0 60279696	{O} -	1	[-46 : 171 : 8]	3.50286671302585	-	647
648	[0, 0, 0, 0, 648] 0 15552	{O} -	0	-	-	-	648
649	[0, 0, 0, 0, 649] 0 15163236	{O} -	2	[20 : 93 : 1], [3 : 26 : 1]	2.25809904406814, 2.64226544870865	[3, 26], [20, 93], [26, 135]. [1398, 52271]	649
650	[0, 0, 0, 0, 650] 0 7300800	{O} -	0	-	-	-	650
651	[0, 0, 0, 0, 651] 0 183082032	{O} -	1	[386 : 2689 : 8]	5.37384205021692	-	651
652	[0, 0, 0, 0, 652] 0 11477808	{O} -	1	[-3 : 25 : 1]	2.63720915207431	[-3, 25]	652
653	[0, 0, 0, 0, 653] 0 46052172	{O} -	1	[-2900170 : 2389003 : 343000]	11.2035709206118	-	653
654	[0, 0, 0, 0, 654] 0 184773312	{O} -	2	[-5 : 23 : 1], [194 : 977 : 8]	2.65972970432727, 4.79945452941007	[-5, 23]	654
655	[0, 0, 0, 0, 655] 0 185338800	{O} -	0	-	-	-	655
656	[0, 0, 0, 0, 656] 0 15129	{O} -	1	[-8 : 12 : 1]	0.76567234210922	[-8, 12], [80, 716]	656
657	[0, 0, 0, 0, 657] 0 5179788	{O} -	1	[-6 : 21 : 1]	1.47937517699331	[-6, 21]	657
658	[0, 0, 0, 0, 658] 0 62346816	{O} -	1	[-62 : 111 : 8]	3.53555198124579	-	658
659	[0, 0, 0, 0, 659] 0 187609392	{O} -	3	[5 : 28 : 1], [34 : 217 : 8], [2084 : 12005 : 64]	2.68907901564265, 4.05696411532392, 6.42219443668568	[5, 28], [5393, 396046]	659
660	[0, 0, 0, 0, 660] 0 2940300	{O} -	0	-	-	-	660
661	[0, 0, 0, 0, 661] 0 47187468	{O} -	0	-	-	-	661
662	[0, 0, 0, 0, 662] 0 189321408	{O} -	2	[-14 : 205 : 8], [-2953930 : -1654549 : 343000]	4.01901619844214, 11.2098654826567	-	662
663	[0, 0, 0, 0, 663] 0 189893808	{O} -	0	-	-	-	663
664	[0, 0, 0, 0, 664] 0 11904192	{O} -	0	-	-	-	664
665	[0, 0, 0, 0, 665] 0 15920100	{O} -	2	[4 : 27 : 1], [16 : 69 : 1]	1.65660046473396, 2.10989570648829	[4, 27], [16, 69], [44, 293]	665
666	[0, 0, 0, 0, 666] 0 21290688	{O} -	1	[-14670 : 148697 : 5832]	8.42076362599714	-	666
667	[0, 0, 0, 0, 667] 0 64064016	{O} -	1	[-7 : 18 : 1]	2.14272135787325	[-7, 18]	667
668	[0, 0, 0, 0, 668] 0 12048048	{O} -	1	[2 : 26 : 1]	1.94606520187877	[2, 26]	668
669	[0, 0, 0, 0, 669] 0 48336588	{O} -	0	-	-	-	669
670	[0, 0, 0, 0, 670] 0 193924800	{O} -	1	[1357434 : -11938057 : 17576]	10.9328706843659	-	670
671	[0, 0, 0, 0, 671] 0 194504112	{O} -	0	-	-	-	671
672	[0, 0, 0, 0, 672] 0 762048	{O} -	0	-	-	-	672
673	[0, 0, 0, 0, 673] 0 48916332	{O} -	1	[12 : 49 : 1]	2.49628885534828	[12, 49]	673
674	[0, 0, 0, 0, 674] 0 65415744	{O} -	1	[165 : 811 : 27]	4.92502294912123	-	674
675	[0, 0, 0, 0, 675] 0 10800	{O} -	1	[1 : 26 : 1]	2.63578981397894	[1, 26]	675
676	[0, 0, 0, 0, 676] 0 6084	Z/3Z [0, 26]	0	-	-	[0, 26]	676
677	[0, 0, 0, 0, 677] 0 49499532	{O} -	2	[-1 : 26 : 1], [237766 : 1511081 : 54872]	2.63652699863746, 9.95582591054431	[-1, 26]	677
678	[0, 0, 0, 0, 678] 0 198583488	{O} -	1	[193253812 : 6451279751 : 247673152]	15.5214986569164	-	678
679	[0, 0, 0, 0, 679] 0 199169712	{O} -	1	[-5878377393 : -9604834840 : 736314327]	16.3226461824259	-	679
680	[0, 0, 0, 0, 680] 0 12484800	{O} -	0	-	-	-	680
681	[0, 0, 0, 0, 681] 0 50086188	{O} -	3	[-8 : 13 : 1], [7 : 32 : 1], [82 : 743 : 1]	2.25020686355111, 2.76013010481183, 4.01076098812961	[-8, 13], [7, 32], [10, 41], [82, 743]	681
682	[0, 0, 0, 0, 682] 0 200933568	{O} -	0	-	-	-	682
683	[0, 0, 0, 0, 683] 0 67174416	{O} -	1	[763 : 9036 : 343]	5.99121703702057	-	683
684	[0, 0, 0, 0, 684] 0 1403568	{O} -	2	[6 : 30 : 1], [-2 : 26 : 1]	1.30275482620859, 1.95190384524116	[-2, 26], [6, 30], [45, 303]	684
685	[0, 0, 0, 0, 685] 0 16892100	{O} -	0	-	-	-	685
686	[0, 0, 0, 0, 686] 0 84672	{O} -	1	[179 : 2395 : 1]	5.21770366738845	[179, 2395]	686
687	[0, 0, 0, 0, 687] 0 203890608	{O} -	1	[49 : 344 : 1]	4.00325548755209	[49, 344]	687
688	[0, 0, 0, 0, 688] 0 798768	{O} -	1	[-213 : 379 : 27]	4.91097322944095	-	688
689	[0, 0, 0, 0, 689] 0 51269868	{O} -	1	[-4 : 25 : 1]	2.20271145343480	-[-4, 25]	689
690	[0, 0, 0, 0, 690] 0 205675200	{O} -	0	-	-	-	690
691	[0, 0, 0, 0, 691] 0 206271792	{O} -	0	-	-	-	691
692	[0, 0, 0, 0, 692] 0 1077444	{O} -	0	-	-	-	692
693	[0, 0, 0, 0, 693] 0 5762988	{O} -	0	-	-	-	693
694	[0, 0, 0, 0, 694] 0 69355584	{O} -	1	[11 : 45 : 1]	2.37242391532863	[11, 45]	694
695	[0, 0, 0, 0, 695] 0 208666800	{O} -	1	[-134390637925 : 245855171834 : 17073859375]	18.4237060229550	-	695
696	[0, 0, 0, 0, 696] 0 13079232	{O} -	1	[34 : 200 : 1]	2.99546180752831	[34, 200]	696
697	[0, 0, 0, 0, 697] 0 52467372	{O} -	0	-	-	-	697
698	[0, 0, 0, 0, 698] 0 210472128	{O} -	0	-	-	-	698
699	[0, 0, 0, 0, 699] 0 211075632	{O} -	0	-	-	-	699
700	[0, 0, 0, 0, 700] 0 529200	{O} -	1	[-6 : 22 : 1]	2.00021658339932	[-6, 22]	700
701	[0, 0, 0, 0, 701] 0 17690436	{O} -	2	[-5 : 24 : 1], [247 : 3882 : 1]	2.13216891760231, 4.98220721592578	[-5, 24], [247, 3882]	701
702	[0, 0, 0, 0, 702] 0 97344	{O} -	2	[3 : 27 : 1], [139 : 1639 : 1]	1.01934084159131, 4.97383092409964	[3, 27], [139, 1639]	702
703	[0, 0, 0, 0, 703] 0 71166096	{O} -	1	[-3 : 26 : 1]	2.66164643023752	[-3, 26]	703
704	[0, 0, 0, 0, 704] 0 52272	{O} -	1	[-7 : 19 : 1]	2.70829782852713	[-7, 19]	704
705	[0, 0, 0, 0, 705] 0 53678700	{O} -	0	-	-	-	705
706	[0, 0, 0, 0, 706] 0 215324352	{O} -	1	[39 : 245 : 1]	3.80532328994820	[39, 245]	706
707	[0, 0, 0, 0, 707] 0 215934768	{O} -	0	-	-	-	707
708	[0, 0, 0, 0, 708] 0 3383532	{O} -	1	[-8 : 14 : 1]	1.79960106585931	[-8, 14]	708
709	[0, 0, 0, 0, 709] 0 54289548	{O} -	1	[-573510 : 1160011 : 74088]	10.1959331955255	-	709
710	[0, 0, 0, 0, 710] 0 72590400	{O} -	1	[19 : 87 : 1]	2.69312769871962	[19, 87]	710
711	[0, 0, 0, 0, 711] 0 24265008	{O} -	0	-	-	-	711
712	[0, 0, 0, 0, 712] 0 4562496	{O} -	1	[17 : 75 : 1]	2.61903853411026	[17, 75]	712
713	[0, 0, 0, 0, 713] 0 54903852	{O} -	2	[8 : 35 : 1], [466 : 3563 : 8]	2.34530081414841, 5.54579447005673	[8, 35]	713
714	[0, 0, 0, 0, 714] 0 220231872	{O} -	1	[77780 : -323287 : 8000]	8.86617804964220	-	714
715	[0, 0, 0, 0, 715] 0 220849200	{O} -	1	[9 : 38 : 1]	2.84626643942284	[9, 38]	715
716	[0, 0, 0, 0, 716] 0 13841712	{O} -	2	[5 : 29 : 1], [110 : 1154 : 1]	2.71315403992134, 4.05741995350356	[5, 29], [110, 1154]	716
717	[0, 0, 0, 0, 717] 0 55521612	{O} -	1	[-6417 : 4310 : 729]	7.13333063197424	-	717
718	[0, 0, 0, 0, 718] 0 222706368	{O} -	0	-	-	-	718
719	[0, 0, 0, 0, 719] 0 74442384	{O} -	1	[13 : 54 : 1]	2.46126830883878	[13, 54]	719
720	[0, 0, 0, 0, 720] 0 6075	{O} -	1	[4 : 28 : 1]	1.30604650449010	[4, 28]	720
721	[0, 0, 0, 0, 721] 0 18714276	{O} -	2	[2 : 27 : 1], [15 : 64 : 1]	1.65278910414984, 3.09192386628004	[2, 27], [15, 64], [32, 183]	721
722	[0, 0, 0, 0, 722] 0 623808	{O} -	1	[-124 : 1711 : 64]	5.43504260791984	-	722
723	[0, 0, 0, 0, 723] 0 225818928	{O} -	1	[111492 : -1266301 : 46656]	9.83601691983956	-	723
724	[0, 0, 0, 0, 724] 0 3538188	{O} -	0	-	-	-	724
725	[0, 0, 0, 0, 725] 0 2270700	{O} -	0	-	-	-	725
726	[0, 0, 0, 0, 726] 0 1881792	{O} -	1	[-6525 : 2179 : 729]	7.13907694434602	-	726
727	[0, 0, 0, 0, 727] 0 228324528	{O} -	2	[3 : 728 : 27], [-7735692 :-38401727 : 1560896]	4.85565515842541, 12.1995761937306	-	727
728	[0, 0, 0, 0, 728] 0 4769856	{O} -	1	[1 : 27 : 1]	2.11157270132028	[1, 27]	728
729	[0, 0, 0, 0, 729] 0 36	Z/6Z [18, 81]	0	-	-	[-9, 0], [0, 27], [18, 81]	729
730	[0, 0, 0, 0, 730] 0 76737600	{O} -	3	[-1 : 27 : 1], [-9 : 1 : 1], [231 : 3511 : 1]	2.11225640285942, 2.74692903493501, 5.46639816837741	[-9, 1], [-1, 27], [231, 3511]	730
731	[0, 0, 0, 0, 731] 0 230843952	{O} -	1	[3 : 730 : 27]	4.85748406591314	-	731
732	[0, 0, 0, 0, 732] 0 14467248	{O} -	1	[903 : 5273 : 27]	5.87497198255257	-	732
733	[0, 0, 0, 0, 733] 0 58027212	{O} -	2	[-9 : 2 : 1], [790086 : -6811877 : 10648]	2.74812090086947, 10.5638084348793	[-9, 2]	733
734	[0, 0, 0, 0, 734] 0 232742592	{O} -	0	-	-	-	734
735	[0, 0, 0, 0, 735] 0 4762800	{O} -	0	-	-	-	735
736	[0, 0, 0, 0, 736] 0 914112	{O} -	0	-	-	-	736
737	[0, 0, 0, 0, 737] 0 19554084	{O} -	2	[-2 : 27 : 1], [-8 : 15 : 1]	1.65820681854508, 1.72428331060405	[-8, 15], [-2, 27], [14, 59], [59, 454]	737
738	[0, 0, 0, 0, 738] 0 26142912	{O} -	2	[-9 : 3 : 1], [18 : 219 : 8]	2.01768898573000, 3.32807310727770	[-9, 3]	738
739	[0, 0, 0, 0, 739] 0 78641424	{O} -	1	[21 : 100 : 1]	3.31672862398552	[21, 100]	739
740	[0, 0, 0, 0, 740] 0 3696300	{O} -	2	[-4 : 26 : 1], [82 : 341 : 8]	1.76343136777224, 4.28937105504485	[-4, 26]. [3296, 189226]	740
741	[0, 0, 0, 0, 741] 0 59300748	{O} -	0	-	-	-	741
742	[0, 0, 0, 0, 742] 0 237843648	{O} -	1	[-3079563375 : 17012068193 : 669921875]	16.2432444047278	-	742
743	[0, 0, 0, 0, 743] 0 238485168	{O} -	2	[-7 : 20 : 1], [-6017 : 33950 : 1331]	2.72458761375315, 7.49018139393987	[-7, 20]	743
744	[0, 0, 0, 0, 744] 0 14945472	{O} -	0	-	-	-	744
745	[0, 0, 0, 0, 745] 0 59942700	{O} -	3	[-6 : 23 : 1], [-9 : 4 : 1], [6 : 31 : 1]	2.25045935430192, 2.75284289454949, 2.28955849582287	[-9, 4], [-6, 23], [6, 31], [96, 941]	745
746	[0, 0, 0, 0, 746] 0 80138304	{O} -	1	[7 : 33 :1]	2.23396822481054	[7, 33]	746
747	[0, 0, 0, 0, 747] 0 26784432	{O} -	1	[327891 : 36133694 : 27]	11.6022837385463	-	747
748	[0, 0, 0, 0, 748] 0 5035536	{O} -	1	[86 : 798 : 1]	3.27695672166883	[86, 798]	748
749	[0, 0, 0, 0, 749] 0 60588108	{O} -	0	-	-	-	749
750	[0, 0, 0, 0, 750] 0 388800	{O} -	1	[-5 : 25 : 1]	1.09325284983429	[-5, 25]	750
751	[0, 0, 0, 0, 751] 0 243648432	{O} -	1	[2235 : 20348 : 27]	6.68108183538473	-	751
752	[0, 0, 0, 0, 752] 0 954288	{O} -	0	-	-	-	752
753	[0, 0, 0, 0, 753] 0 61236972	{O} -	1	[-168 : 611 : 27]	4.45375245738300	-	753
754	[0, 0, 0, 0, 754] 0 245598912	{O} -	2	[-9 : 5 : 1], [1294260918 : -5753887645 : 75151448]	2.75633762645270, 15.2734926740276	[-9, 5]	754
755	[0, 0, 0, 0, 755] 0 82083600	{O} -	1	[-61402 : 252707 : 10648]	8.89589201931900	-	755
756	[0, 0, 0, 0, 756] 0 1764	{O} -	1	[-3 : 27 : 1]	1.03733889991574	[-3, 27]	756
757	[0, 0, 0, 0, 757] 0 20629764	{O} -	2	[3 : 28 : 1], [2063 : 93702 : 1]	2.69133569711788, 7.08532737335349	[3, 28], [2063, 93702]	757
758	[0, 0, 0, 0, 758] 0 248211648	{O} -	1	[1028 : 4481 : 64]	5.91264088392833	-	758
759	[0, 0, 0, 0, 759] 0 248866992	{O} -	1	[25 : 128 : 1]	3.44811982527376	[25, 128]	759
760	[0, 0, 0, 0, 760] 0 15595200	{O} -	1	[-23562 : 125228 : 4913]	7.67784635932796	-	760
761	[0, 0, 0, 0, 761] 0 62545068	{O} -	1	[356 : 1955 : 64]	5.51790915099153	-	761
762	[0, 0, 0, 0, 762] 0 250838208	{O} -	0	-	-	-	762
763	[0, 0, 0, 0, 763] 0 251497008	{O} -	0	-	-	-	763
764	[0, 0, 0, 0, 764] 0 5253264	{O} -	1	[10 : 42 : 1]	1.65701488564117	[10, 42]	764
765	[0, 0, 0, 0, 765] 0 7022700	{O} -	1	[-9 : 6 : 1]	2.02814780972847	[-9, 6]	765
766	[0, 0, 0, 0, 766] 0 84492864	{O} -	1	[27 : 143 :1]	3.50823242365099	[27, 143]	766
767	[0, 0, 0, 0, 767] 0 254140848	{O} -	1	[14803756842 : -94945066217 : 363994344]	16.9869771131735	-	767
768	[0, 0, 0, 0, 768] 0 3888	{O} -	1	[-8 : 16 : 1]	0.66847573678882	[-8, 16], [52, 376]	768
769	[0, 0, 0, 0, 769] 0 63866988	{O} -	0	-	-	-	769
770	[0, 0, 0, 0, 770] 0 256132800	{O} -	0	-	-	-	770
771	[0, 0, 0, 0, 771] 0 256798512	{O} -	0	-	-	-	771
772	[0, 0, 0, 0, 772] 0 4022892	{O} -	1	[12 : 50 : 1]	2.05729883963474	[12, 50]	772
773	[0, 0, 0, 0, 773] 0 21511044	{O} -	0	-	-	-	773
774	[0, 0, 0, 0, 774] 0 28755648	{O} -	1	[185921323525 : 938171599633 : 7703734375]	18.5996453209570	-	774
775	[0, 0, 0, 0, 775] 0 3459600	{O} -	2	[5 : 30 : 1], [41 : 264 : 1]	1.11405032557210, 3.30332512059890	[5, 30], [41, 264]	775
776	[0, 0, 0, 0, 776] 0 16258752	{O} -	1	[2 : 28 : 1]	1.99512220038045	[2, 28]	776
777	[0, 0, 0, 0, 777] 0 65202732	{O} -	2	[4 : 29 : 1], [2 : 223 : 8]	2.25368561552171, 4.06698797383826	[4, 29]	777
778	[0, 0, 0, 0, 778] 0 261482688	{O} -	1	[-9 : 7 : 1]	2.76546830270399	[-9, 7]	778
779	[0, 0, 0, 0, 779] 0 262155312	{O} -	0	-	-	-	779
780	[0, 0, 0, 0, 780] 0 16426800	{O} -	0	-	-	-	780
781	[0, 0, 0, 0, 781] 0 65875788	{O} -	1	[165372308955 : 836999599904 : 25960629681]	18.7620190797623	-	781
782	[0, 0, 0, 0, 782] 0 88059456	{O} -	1	[-159 : 649 : 27]	4.92339947915748	-	782
783	[0, 0, 0, 0, 783] 0 363312	{O} -	1	[1 : 28 : 1]	2.68505805586154	[1, 28]	783
784	[0, 0, 0, 0, 784] 0 441	Z/3Z [0, 28]	1	[-7 : 21 : 1]	0.89427578021359	[-7, 21], [0, 28], [8, 36], [56, 420]	784
785	[0, 0, 0, 0, 785] 0 66552300	{O} -	2	[-1 : 28 : 1], [11 : 46 : 1]	2.68569388910164, 2.94440078375091	[-1, 28], [11, 46]	785
786	[0, 0, 0, 0, 786] 0 266887872	{O} -	1	[154565428038 : 649253343077 : 14778272664]	18.5341609303762	-	786
787	[0, 0, 0, 0, 787] 0 267567408	{O} -	1	[-249 : 44 : 27]	4.96912898065036	-	787
788	[0, 0, 0, 0, 788] 0 4191372	{O} -	1	[-82887 : 78065 : 9261]	8.85755053709278	-	788
789	[0, 0, 0, 0, 789] 0 67232268	{O} -	1	[2007 : 20746 : 729]	7.09587927071798	-	789
790	[0, 0, 0, 0, 790] 0 269611200	{O} -	0	-	-	-	790
791	[0, 0, 0, 0, 791] 0 90098064	{O} -	1	[2 : 225 : 8]	3.52363299340874	-	791
792	[0, 0, 0, 0, 792] 0 1881792	{O} -	2	[-6 : 24 : 1], [-2 : 28 : 1]	1.30589320071077, 2.00016287882526	[-6, 24], [-2, 28], [9, 39], [177, 2355]	792
793	[0, 0, 0, 0, 793] 0 22638564	{O} -	2	[-4 : 27 : 1], [-9 : 8 : 1]	1.69836197861874, 2.77104113164663	[-9, 8], [-4, 27], [62, 489]	793
794	[0, 0, 0, 0, 794] 0 272348352	{O} -	1	[-62 : 145 : 8]	4.14078295350734	-	794
795	[0, 0, 0, 0, 795] 0 273034800	{O} -	1	[-7910 : 17323 : 1000]	7.36216186768027	-	795
796	[0, 0, 0, 0, 796] 0 17107632	{O} -	1	[534 : 2494 : 27]	4.78600628798533	-	796
797	[0, 0, 0, 0, 797] 0 68602572	{O} -	1	[4010 : 29351 : 1000]	7.32898081355424	-	797
798	[0, 0, 0, 0, 798] 0 275099328	{O} -	0	-	-	-	798
799	[0, 0, 0, 0, 799] 0 275789232	{O} -	0	-	-	-	799
800	[0, 0, 0, 0, 800] 0 14400	{O} -	0	-	-	-	800
801	[0, 0, 0, 0, 801] 0 7699212	{O} -	2	[-8 : 17 : 1], [-5 : 26 : 1]	2.29833383115514, 2.72339016453518	[-8, 17], [-5, 26], [22, 107]	801
802	[0, 0, 0, 0, 802] 0 92621376	{O} -	1	[63 : 20645 : 729]	7.08559684740237	-	802
803	[0, 0, 0, 0, 803] 0 278557488	{O} -	1	[1681584118 : 32494434425 : 1144445336]	16.6011743200814	-	803
804	[0, 0, 0, 0, 804] 0 4363308	{O} -	2	[16 : 70 : 1], [88 : 826 : 1]	2.22105598672930, 3.61827366602800	[16, 70], [88, 826]	804
805	[0, 0, 0, 0, 805] 0 69986700	{O} -	0	-	-	-	805
806	[0, 0, 0, 0, 806] 0 280642752	{O} -	2	[35 : 209 : 1], [3174 : 13625 : 216]	3.72093279012881, 6.67885234052951	[35, 209]	806
807	[0, 0, 0, 0, 807] 0 281339568	{O} -	0	-	-	-	807
808	[0, 0, 0, 0, 808] 0 17627328	{O} -	2	[6 : 32 : 1], [18 : 229 : 8]	2.08094516926610, 4.09002341926690	[6, 32]	808
809	[0, 0, 0, 0, 809] 0 23561316	{O} -	0	-	-	-	809
810	[0, 0, 0, 0, 810] 0 388800	{O} -	1	[-9 : 9 : 1]	1.31242173945677	[-9, 9]	810
811	[0, 0, 0, 0, 811] 0 94711824	{O} -	1	[-3 : 28 : 1]	2.70809349702000	[-3, 28]	811
812	[0, 0, 0, 0, 812] 0 17802288	{O} -	1	[149 : 1819 : 1]	5.04248602995562	[149, 1819]	812
813	[0, 0, 0, 0, 813] 0 71384652	{O} -	2	[7 : 34 : 1], [-691446 : -24695 : 74088]	2.80545258737699, 10.2582165715973	[7, 34]	813
814	[0, 0, 0, 0, 814] 0 286241472	{O} -	1	[3 : 29 : 1]	2.71456085626363	[3, 29]	814
815	[0, 0, 0, 0, 815] 0 286945200	{O} -	0	-	-	-	815
816	[0, 0, 0, 0, 816] 0 1123632	{O} -	0	-	-	-	816
817	[0, 0, 0, 0, 817] 0 72088812	{O} -	1	[24 : 121 : 1]	2.96126221975081	[24, 121]	817
818	[0, 0, 0, 0, 818] 0 96353856	{O} -	1	[-1045 : 1911 : 125]	5.44104436461093	-	818
819	[0, 0, 0, 0, 819] 0 32196528	{O} -	0	-	-	-	819
820	[0, 0, 0, 0, 820] 0 1512900	{O} -	0	-	-	-	820
821	[0, 0, 0, 0, 821] 0 72796428	{O} -	0	-	-	-	821
822	[0, 0, 0, 0, 822] 0 291895488	{O} -	1	[1014 : 6571 : 216]	6.33038832423886	-	822
823	[0, 0, 0, 0, 823] 0 292606128	{O} -	1	[-17033457 : -2233473374 : 77854483]	14.8134009581208	-	823
824	[0, 0, 0, 0, 824] 0 18332352	{O} -	2	[38 : 236 : 1], [102 : 800 : 27]	3.09784042751186, 4.23413461733221	[38, 236]	824
825	[0, 0, 0, 0, 825] 0 2940300	{O} -	0	-	-	-	825
826	[0, 0, 0, 0, 826] 0 294743232	{O} -	0	-	-	-	826
827	[0, 0, 0, 0, 827] 0 98485776	{O} -	1	[-7 : 22 : 1]	2.75706571512256	[-7, 22]	827
828	[0, 0, 0, 0, 828] 0 2056752	{O} -	1	[13 : 55 : 1]	3.03304690870669	[13, 55]	828
829	[0, 0, 0, 0, 829] 0 24740676	{O} -	2	[-9 : 10 : 1], [23 : 114 : 1]	2.78402066747818, 2.84387716629043	[-9, 10], [23, 114]	829
830	[0, 0, 0, 0, 830] 0 297604800	{O} -	1	[-1267 : 9577 : 343]	6.61334806501834	-	830
831	[0, 0, 0, 0, 831] 0 298322352	{O} -	1	[58770 : -251137 : 5832]	8.70031665281235	-	831
832	[0, 0, 0, 0, 832] 0 18252	{O} -	0	-	-	-	832
833	[0, 0, 0, 0, 833] 0 1529388	{O} -	1	[2 : 29 : 1]	2.24940584640384	[2, 29]	833
834	[0, 0, 0, 0, 834] 0 300480192	{O} -	2	[31 : 175 : 1], [-46 : 203 : 8]	3.62368985255650, 4.13081063469602	[31, 175]	834
835	[0, 0, 0, 0, 835] 0 301201200	{O} -	0	-	-	-	835
836	[0, 0, 0, 0, 836] 0 1572516	{O} -	2	[4 : 30 : 1], [-8 : 18 : 1]	1.26489701791896, 1.29967895768520	[-8, 18], [4, 30], [5, 31], [20, 94], [3712, 226158]	836
837	[0, 0, 0, 0, 837] 0 103788	{O} -	0	-	-	-	837
838	[0, 0, 0, 0, 838] 0 101123136	{O} -	1	[88072 : 1155201 : 512]	8.79089164074473	-	838
839	[0, 0, 0, 0, 839] 0 304093872	{O} -	1	[2800697003811477 : 20221430657567426 : 54048739866129]	25.1409910689030	-	839
840	[0, 0, 0, 0, 840] 0 19051200	{O} -	1	[1 : 29 : 1]	2.70839113775076	[1, 29]	840
841	[0, 0, 0, 0, 841] 0 90828	Z/3Z [0, 29]	1	[-6 : 25 : 1]	2.28792931562531	[-6, 25], [0, 29], [87, 812]	841
842	[0, 0, 0, 0, 842] 0 306272448	{O} -	2	[-1 : 29 : 1], [-970798 : -15947233 : 551368]	2.70898395833939, 11.5256094541761	[-1, 29]	842
843	[0, 0, 0, 0, 843] 0 307000368	{O} -	0	-	-	-	843
844	[0, 0, 0, 0, 844] 0 19233072	{O} -	0	-	-	-	844
845	[0, 0, 0, 0, 845] 0 152100	{O} -	0	-	-	-	845
846	[0, 0, 0, 0, 846] 0 34354368	{O} -	0	-	-	-	846
847	[0, 0, 0, 0, 847] 0 853776	{O} -	0	-	-	-	847
848	[0, 0, 0, 0, 848] 0 75843	{O} -	1	[-4 : 28 : 1]	1.34496532944972	[-4, 28]	848
849	[0, 0, 0, 0, 849] 0 77846508	{O} -	2	[-2 : 29 : 1], [10 : 43 : 1]	2.25410748880006, 2.45897577669286	[-2, 29], [10, 43], [28, 151]	849
850	[0, 0, 0, 0, 850] 0 12484800	{O} -	2	[15 : 65 : 1], [-9 : 11 : 1]	2.04173147517028, 2.79134860309983	[-9, 11], [15, 65]	850
851	[0, 0, 0, 0, 851] 0 312854832	{O} -	0	-	-	-	851
852	[0, 0, 0, 0, 852] 0 4899852	{O} -	1	[-165 : 98513 : 3375]	8.12739810914824	-	852
853	[0, 0, 0, 0, 853] 0 78581772	{O} -	1	[-1005 : 2282 : 125]	5.99858728953642	-	853
854	[0, 0, 0, 0, 854] 0 105021504	{O} -	1	[-5 : 27 : 1]	2.19428169140373	[-5, 27]	854
855	[0, 0, 0, 0, 855] 0 35089200	{O} -	1	[-14183 : 53182 : 2197]	7.89043986127049	-	855
856	[0, 0, 0, 0, 856] 0 6594624	{O} -	1	[14 : 60 : 1]	1.83483703719867	[14, 60]	856
857	[0, 0, 0, 0, 857] 0 79320492	{O} -	2	[8 : 37 : 1], [104 : 1061 : 1]	2.38927075576064, 4.23855972932372	[8, 37], [104, 1061]	857
858	[0, 0, 0, 0, 858] 0 318022848	{O} -	1	[865463221923909 : 4745082579131123 : 145025845866819]	24.5285984853207	-	858
859	[0, 0, 0, 0, 859] 0 318764592	{O} -	1	[-80307750 : -420201353 : 15625000]	13.7898500203968	-	859
860	[0, 0, 0, 0, 860] 0 19969200	{O} -	0	-	-	-	860
861	[0, 0, 0, 0, 861] 0 80062668	{O} -	1	[-858 : 6103 : 216]	6.31939989240285	-	861
862	[0, 0, 0, 0, 862] 0 320995008	{O} -	0	-	-	-	862
863	[0, 0, 0, 0, 863] 0 107246736	{O} -	1	[17 : 76 : 1]	3.19166762556740	[17, 76]	863
864	[0, 0, 0, 0, 864] 0 1728	{O} -	0	-	-	-	864
865	[0, 0, 0, 0, 865] 0 26936100	{O} -	0	-	-	-	865
866	[0, 0, 0, 0, 866] 0 323980992	{O} -	1	[-13274835 : -89452567 : 3176523]	12.7205566775619	-	866
867	[0, 0, 0, 0, 867] 0 1123632	{O} -	0	-	-	-	867
868	[0, 0, 0, 0, 868] 0 5085612	{O} -	2	[-3 : 29 : 1], [36 : 218 : 1]	2.73020211359655, 2.82432161627782	[-3, 29], [36, 218]	868
869	[0, 0, 0, 0, 869] 0 81557388	{O} -	1	[-427 : 10100 : 343]	6.61213243527004	-	869
870	[0, 0, 0, 0, 870] 0 326980800	{O} -	0	-	-	-	870
871	[0, 0, 0, 0, 871] 0 327732912	{O} -	2	[9 : 40 : 1], [7782 : 47143 : 216]	2.88989157226256, 7.33287197759614	[9, 40]	871
872	[0, 0, 0, 0, 872] 0 6843456	{O} -	1	[-7 : 23 : 1]	2.77318881716096	[-7, 23]	872
873	[0, 0, 0, 0, 873] 0 9145548	{O} -	3	[3 : 30 : 1], [-9 : 12 : 1], [-8 : 19 : 1]	2.00458567240915, 2.06677270284658, 2.32402133319716	[-9, 12], [-8, 19], [3, 30], [6, 33], [12, 51], [66, 537], [178, 2375], [432, 8979], [978, 30585]	873
874	[0, 0, 0, 0, 874] 0 109998144	{O} -	1	[-5629 : 64323 : 2197]	7.30986460150814	-	874
875	[0, 0, 0, 0, 875] 0 529200	{O} -	1	[130 : 575 : 8]	2.94261854788839	-	875
876	[0, 0, 0, 0, 876] 0 20719152	{O} -	1	[37 : 227 : 1]	3.77186522279080	[37, 227]	876
877	[0, 0, 0, 0, 877] 0 83065932	{O} -	2	[93 : 818 : 27], [438 : 6427 : 216]	4.94166273344935, 6.31212639245353	-	877
878	[0, 0, 0, 0, 878] 0 333021888	{O} -	2	[11 : 47 : 1], [-488787 : 1058689 : 59319]	2.96573489518951, 10.1180396637593	[11, 47]	878
879	[0, 0, 0, 0, 879] 0 333780912	{O} -	0	-	-	-	879
880	[0, 0, 0, 0, 880] 0 1306800	{O} -	0	-	-	-	880
881	[0, 0, 0, 0, 881] 0 27941796	{O} -	0	-	-	-	881
882	[0, 0, 0, 0, 882] 0 762048	{O} -	1	[7 : 35 : 1]	1.52948308145415	[7, 35]	882
883	[0, 0, 0, 0, 883] 0 112275216	{O} -	1	[-14 : 237 : 8]	3.56481166396727	-	883
884	[0, 0, 0, 0, 884] 0 5274828	{O} -	0	-	-	-	884
885	[0, 0, 0, 0, 885] 0 84588300	{O} -	2	[19 : 88 : 1], [19690 : 92297 : 1000]	3.26623976875643, 7.89528322739845	[19, 88], [68239, 17825798]	885
886	[0, 0, 0, 0, 886] 0 339118272	{O} -	1	[-2350761 : -23602609 : 804357]	11.8015025986855	-	886
887	[0, 0, 0, 0, 887] 0 339884208	{O} -	2	[-395 : 3656 : 125], [5210 : 32069 : 1000]	5.95736841601066, 7.38602168691177	-	887
888	[0, 0, 0, 0, 888] 0 21290688	{O} -	0	-	-	-	888
889	[0, 0, 0, 0, 889] 0 85354668	{O} -	1	[30 : 167 : 1]	3.13964573439618	[30, 167]	889
890	[0, 0, 0, 0, 890] 0 114062400	{O} -	1	[71 : 599 : 1]	4.34630377804442	[71, 599]	890
891	[0, 0, 0, 0, 891] 0 470448	{O} -	0	-	-	-	891
892	[0, 0, 0, 0, 892] 0 7160976	{O} -	3	[2 : 30 : 1], [-6 : 26 : 1], [18 : 82 : 1]	1.49150085300927, 2.07514086743836, 2.53873319783572	[-6, 26], [2, 30], [18, 82], [29, 159], [53, 387]	892
893	[0, 0, 0, 0, 893] 0 86124492	{O} -	0	-	-	-	893
894	[0, 0, 0, 0, 894] 0 345269952	{O} -	1	[13593425791179 : -173090856864907 : 83855130633]	21.8930638973408	-	894
895	[0, 0, 0, 0, 895] 0 346042800	{O} -	1	[31127604486 : 173532262897 : 5213714904]	17.7182909350128	-	895
896	[0, 0, 0, 0, 896] 0 84672	{O} -	0	-	-	-	896
897	[0, 0, 0, 0, 897] 0 86897772	{O} -	1	[4 : 31 : 1]	2.29814845854518	[4, 31]	897
898	[0, 0, 0, 0, 898] 0 348366528	{O} -	2	[-9 : 13 : 1], [13020486 : -61917323 : 636056]	2.80747624221782, 12.2268518766188	[-9, 13]	898
899	[0, 0, 0, 0, 899] 0 116380944	{O} -	3	[1 : 30 : 1], [5 : 32 : 1], [514 : 4127 : 8]	2.18162917552536, 2.78017667858772, 5.64186803590880	[1, 30], [5, 32], [11393, 1216066]	899
900	[0, 0, 0, 0, 900] 0 24300	Z/3Z [0, 30]	0	-	-	[0, 30]	900
901	[0, 0, 0, 0, 901] 0 29224836	{O} -	2	[-1 : 30 : 1], [467 : 10092 : 1]	2.18218320402204, 5.60974408400053	[-1, 30], [467, 10092]	901
902	[0, 0, 0, 0, 902] 0 351476928	{O} -	1	[226 : 1225 : 8]	4.94181329631740	-	902
903	[0, 0, 0, 0, 903] 0 352256688	{O} -	1	[-2497 : 39850 : 1331]	7.53165488919918	-	903
904	[0, 0, 0, 0, 904] 0 22064832	{O} -	1	[114 : 493 : 8]	4.48150783166082	-	904
905	[0, 0, 0, 0, 905] 0 88454700	{O} -	1	[-4 : 29 : 1]	2.29004208743802	[-4, 29]	905
906	[0, 0, 0, 0, 906] 0 354601152	{O} -	2	[55 : 409 : 1], [-572 : 887 : 64]	4.11617599049032, 5.58185831538377	[55, 409]	906
907	[0, 0, 0, 0, 907] 0 355384368	{O} -	0	-	-	-	907
908	[0, 0, 0, 0, 908] 0 7420176	{O} -	1	[-2 : 30 : 1]	1.49589652243564	[-2, 30]	908
909	[0, 0, 0, 0, 909] 0 9915372	{O} -	2	[-5 : 28 : 1], [121960 : 1936907 : 64000]	2.76329908543865, 10.1172103195547	[-5, 28]	909
910	[0, 0, 0, 0, 910] 0 119246400	{O} -	1	[895 : 4467 : 125]	5.50933295063194	-	910
911	[0, 0, 0, 0, 911] 0 358525872	{O} -	1	[130 : 577 : 8]	4.55742533071479	-	911
912	[0, 0, 0, 0, 912] 0 87723	{O} -	1	[-8 : 20 : 1]	1.41291011816887	[-8, 20]	912
913	[0, 0, 0, 0, 913] 0 90025452	{O} -	0	-	-	-	913
914	[0, 0, 0, 0, 914] 0 360891072	{O} -	0	-	-	-	914
915	[0, 0, 0, 0, 915] 0 361681200	{O} -	0	-	-	-	915
916	[0, 0, 0, 0, 916] 0 5663628	{O} -	1	[-5358525 : 40009949 : 1367631]	12.1743450535441	-	916
917	[0, 0, 0, 0, 917] 0 30272004	{O} -	0	-	-	-	917
918	[0, 0, 0, 0, 918] 0 499392	{O} -	0	-	-	-	918
919	[0, 0, 0, 0, 919] 0 121616784	{O} -	1	[-7 : 24 : 1]	2.23989347860804	[-7, 24]	919
920	[0, 0, 0, 0, 920] 0 22852800	{O} -	1	[26 : 136 : 1]	2.23989347860804	[26, 136]	920
921	[0, 0, 0, 0, 921] 0 91610028	{O} -	0	-	-	-	921
922	[0, 0, 0, 0, 922] 0 367236288	{O} -	1	[52878 : 246625 : 2744]	8.55832460712204	-	922
923	[0, 0, 0, 0, 923] 0 368033328	{O} -	0	-	-	-	923
924	[0, 0, 0, 0, 924] 0 23051952	{O} -	0	-	-	-	924
925	[0, 0, 0, 0, 925] 0 3696300	{O} -	2	[-9 : 14 : 1], [804 : 3451 : 64]	2.81619362153240, 5.80741025331542	[-9, 14]	925
926	[0, 0, 0, 0, 926] 0 123476544	{O} -	1	[-1105 : 1917 : 125]	5.48401642237539	-	926
927	[0, 0, 0, 0, 927] 0 41247792	{O} -	2	[-3 : 30 : 1], [33 : 192 : 1]	2.01921819699795, 2.94856435295542	[-3, 30], [33, 192]	927
928	[0, 0, 0, 0, 928] 0 484416	{O} -	1	[-14 : 243 : 8]	3.58123776210325	-	928
929	[0, 0, 0, 0, 929] 0 93208428	{O} -	0	-	-	-	929
930	[0, 0, 0, 0, 930] 0 373636800	{O} -	1	[6768555137 : 60471500159 : 1939096223]	17.0206786205616	-	930
931	[0, 0, 0, 0, 931] 0 7641648	{O} -	1	[810 : 30521 : 1000]	7.34712684081726	-	931
932	[0, 0, 0, 0, 932] 0 5863212	{O} -	1	[8 : 38 : 1]	1.94778194909375	[8, 38]	932
933	[0, 0, 0, 0, 933] 0 94012812	{O} -	1	[-551460 : -6538627 : 216000]	10.9393032687183	-	933
934	[0, 0, 0, 0, 934] 0 376857792	{O} -	2	[3 : 31 : 1], [13092 : 187259 : 64]	2.75868778594524, 8.12286495388377	[3, 31]	934
935	[0, 0, 0, 0, 935] 0 125888400	{O} -	1	[9905 : 88254 : 125]	7.11817629455457	-	935
936	[0, 0, 0, 0, 936] 0 2628288	{O} -	1	[10 : 44 : 1]	2.24845631957875	[10, 44]	936
937	[0, 0, 0, 0, 937] 0 31606884	{O} -	0	-	-	-	937
938	[0, 0, 0, 0, 938] 0 380092608	{O} -	1	[3812 : 29485 : 64]	6.96121841634329	-	938
939	[0, 0, 0, 0, 939] 0 380903472	{O} -	1	[13 : 56 : 1]	3.05396782574467	[13, 56]	939
940	[0, 0, 0, 0, 940] 0 23857200	{O} -	3	[6 : 34 : 1], [21 : 101 : 1], [-78 : 29 : 8]	2.12338409462834, 3.34048584479668, 4.21695996097198	[6, 34], [21, 101], [54, 398]	940
941	[0, 0, 0, 0, 941] 0 95631948	{O} -	1	[38672 : 172937 : 4096]	8.46805112614903	-	941
942	[0, 0, 0, 0, 942] 0 383341248	{O} -	0	-	-	-	942
943	[0, 0, 0, 0, 943] 0 384155568	{O} -	0	-	-	-	943
944	[0, 0, 0, 0, 944] 0 501264	{O} -	1	[-62 : 175 : 8]	4.19275483824605	-	944
945	[0, 0, 0, 0, 945] 0 44100	{O} -	1	[-6 : 27 : 1]	0.67621077516461	[-6, 27], [16, -71]	945
946	[0, 0, 0, 0, 946] 0 128867904	{O} -	1	[-78 : 35 : 8]	4.21881056473200	-	946
947	[0, 0, 0, 0, 947] 0 387421488	{O} -	1	[356 : 2141 : 64]	5.58065816239101	-	947
948	[0, 0, 0, 0, 948] 0 6066252	{O} -	0	-	-	-	948
949	[0, 0, 0, 0, 949] 0 97264908	{O} -	0	-	-	-	949
950	[0, 0, 0, 0, 950] 0 15595200	{O} -	1	[2877358 : 12406277 : 238328]	11.2753895529125	-	950
951	[0, 0, 0, 0, 951] 0 390701232	{O} -	0	-	-	-	951
952	[0, 0, 0, 0, 952] 0 24470208	{O} -	2	[9 : 41 : 1], [-1170 : 1436 : 125]	2.91022757175772, 5.35502783282026	[9, 41]	952
953	[0, 0, 0, 0, 953] 0 32695524	{O} -	2	[-8 : 21 : 1], [2 : 31 : 1]	1.80099440978113, 2.29357330925837	[-8, 21], [2, 31], [7, 36]	953
954	[0, 0, 0, 0, 954] 0 43685568	{O} -	2	[-9 : 15 : 1], [63 : 501 : 1]	2.09288456943979, 3.50728401257465	[-9, 15], [63, 501]	954
955	[0, 0, 0, 0, 955] 0 131331600	{O} -	1	[-62 : 177 : 8]	3.64694348575780	-	955
956	[0, 0, 0, 0, 956] 0 24676272	{O} -	1	[1243130 : -5437034 : 117649]	10.0570454251071	-	956
957	[0, 0, 0, 0, 957] 0 98911692	{O} -	0	-	-	-	957
958	[0, 0, 0, 0, 958] 0 396474048	{O} -	1	[1095 : 5047 : 125]	6.12245729946339	-	958
959	[0, 0, 0, 0, 959] 0 397302192	{O} -	0	-	-	-	959
960	[0, 0, 0, 0, 960] 0 97200	{O} -	2	[4 : 32 : 1], [436 : 9104 : 1]	1.39508335033481, 4.70526471938057	[1, 31], [4, 32], [436, 9104]	960
961	[0, 0, 0, 0, 961] 0 103788	Z/3Z [0, 31]	1	[-231 : 494 : 27]	5.01905009644139	[0, 31]	961
962	[0, 0, 0, 0, 962] 0 133263936	{O} -	1	[-1 : 31 : 1]	2.75326113509497	[-1, 31]	962
963	[0, 0, 0, 0, 963] 0 44513712	{O} -	1	[2428951 : -11608532 : 300763]	11.2918965627959	-	963
964	[0, 0, 0, 0, 964] 0 2090916	{O} -	2	[-4 : 30 : 1], [5 : 33 : 1]	1.29893576480976, 2.25169109270120	[-4, 30], [5, 33], [48, 334]	964
965	[0, 0, 0, 0, 965] 0 100572300	{O} -	0	-	-	-	965
966	[0, 0, 0, 0, 966] 0 403123392	{O} -	1	[-5 : 29 : 1]	2.78253961221747	[-5, 29]	966
967	[0, 0, 0, 0, 967] 0 403958448	{O} -	1	[69 : 574 : 1]	4.32260340886497	[69, 574]	967
968	[0, 0, 0, 0, 968] 0 209088	{O} -	1	[-7 : 25 : 1]	2.80507732640007	[-7, 25]	968
969	[0, 0, 0, 0, 969] 0 101407788	{O} -	1	[-2 : 31 : 1]	2.29769190799500	[-2, 31]	969
970	[0, 0, 0, 0, 970] 0 406468800	{O} -	0	-	-	-	970
971	[0, 0, 0, 0, 971] 0 135769104	{O} -	1	[265 : 4314 : 1]	5.05341221290617	[265, 4314]	971
972	[0, 0, 0, 0, 972] 0 3888	{O} -	0	-	-	-	972
973	[0, 0, 0, 0, 973] 0 34082244	{O} -	2	[11 : 48 : 1], [18 : 251 : 8]	2.43662102967300, 4.15072954557906	[11, 48]	973
974	[0, 0, 0, 0, 974] 0 409828032	{O} -	1	[16915 : 156509 : 4913]	8.44412821491303	-	974
975	[0, 0, 0, 0, 975] 0 16426800	{O} -	0	-	-	-	975
976	[0, 0, 0, 0, 976] 0 100467	{O} -	1	[12 : 52 : 1]	1.63706284310101	[12, 52]	976
977	[0, 0, 0, 0, 977] 0 103089132	{O} -	1	[14 : 61 : 1]	2.63587968444244	[14, 61]	977
978	[0, 0, 0, 0, 978] 0 413201088	{O} -	0	-	-	-	978
979	[0, 0, 0, 0, 979] 0 414046512	{O} -	2	[75 : 854 : 27], [8100 : 91147 : 64]	4.96861156793386, 7.66163762236480	-	979
980	[0, 0, 0, 0, 980] 0 44100	{O} -	0	-	-	-	980
981	[0, 0, 0, 0, 981] 0 11548332	{O} -	1	[15 : 66 : 1]	2.40318647295838	[15, 66]	981
982	[0, 0, 0, 0, 982] 0 138862656	{O} -	1	[82 : 363 : 8]	3.79773998915812	-	982
983	[0, 0, 0, 0, 983] 0 417436848	{O} -	1	[-165013 : 849466 : 29791]	9.66154590297228	-	983
984	[0, 0, 0, 0, 984] 0 26142912	{O} -	1	[98 : 425 : 8]	4.42041658264977	-	984
985	[0, 0, 0, 0, 985] 0 104784300	{O} -	2	[-9 : 16 : 1], [1011 : 32146 : 1]	2.83473453761714, 6.92474805808403	[-9, 16], [1011, 32146]	985
986	[0, 0, 0, 0, 986] 0 419988672	{O} -	0	-	-	-	986
987	[0, 0, 0, 0, 987] 0 420841008	{O} -	0	-	-	-	987
988	[0, 0, 0, 0, 988] 0 26355888	{O} -	2	[-3 : 31 : 1], [42 : 274 : 1]	2.77240595648653, 3.19186092426420	[-3, 31], [42, 274]	988
989	[0, 0, 0, 0, 989] 0 35212356	{O} -	0	-	-	-	989
990	[0, 0, 0, 0, 990] 0 47044800	{O} -	1	[33032 : -265807 : 512]	8.42124146917990	-	990
991	[0, 0, 0, 0, 991] 0 141419664	{O} -	1	[-20473565 : 261389892 : 8365427]	12.8468360725565	-	991
992	[0, 0, 0, 0, 992] 0 1660608	{O} -	1	[291 : 1279 : 27]	5.17898969351681	-	992
993	[0, 0, 0, 0, 993] 0 106493292	{O} -	0	-	-	-	993
994	[0, 0, 0, 0, 994] 0 426831552	{O} -	1	[25163580 : 136100483 : 3796416]	12.9480954264623	-	994
995	[0, 0, 0, 0, 995] 0 427690800	{O} -	0	-	-	-	995
996	[0, 0, 0, 0, 996] 0 6696108	{O} -	1	[-8 : 22 : 1]	1.90147192285593	[-8, 22]	996
997	[0, 0, 0, 0, 997] 0 107352972	{O} -	3	[3 : 32 : 1], [-78 : 67 : 8], [114 : 499 : 8]	2.77969044355994, 4.23410888836960, 4.49674910361627	[3, 32]	997
998	[0, 0, 0, 0, 998] 0 143424576	{O} -	1	[490 : 31593 : 1000]	6.82025939194805	-	998
999	[0, 0, 0, 0, 999] 0 197136	{O} -	0	-	-	-	999
1000	[0, 0, 0, 0, 1000] 0 14400	Z/2Z [-10, 0]	1	[-6 : 28 : 1]	2.11069738234011	[-10, 0], [-6, 28], [65, 525]	1000

[参考文献]

[1]Joseph H. Silverman, John Tate(著), 足立恒雄, 木田雅成, 小松啓一, 田谷久雄(訳), "楕円曲線論入門", シュプリンガー・フェアラーク東京, 1995, ISBN4-431-70683-6, {3900円}.
[2]Joseph H. Silverman, "The Arithmetic of Elliptic Curves", GTM 106, Springer-Verlag New York Inc., 1986, ISBN0-387-96203-4.

Last Update: 2021.09.26

H.Nakao

Rational Points on Ellptic Curves: y^2=x^3+n (n \in [1..1000])

[2021.08.08]y^2=x^3+n (n \in [1..1000])の有理点

[参考文献]

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