Rational Points on Elliptic Curves: y^2=x^3+n (n \in [4001..5000])

Rational Points on Ellptic Curves: y^2=x^3+n (n \in [4001..5000])

[2021.09.11]y^2=x^3+n (n \in [4001..5000])の有理点

■n=4001,4002,...,5000に対して、
     E_n: y² = x³+n
の有理点を求める。

■n=4001,4002,...,5000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=4913
                 =Z/3Z if n=4225,4356,4489,4624,4761,4900
                 =Z/6Z if n=4096
                 ={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(4001,5000)
E_4096(Q)_{tors}=[6, [6], [[32, 192]]]
E_4225(Q)_{tors}=[3, [3], [[0, 65]]]
E_4356(Q)_{tors}=[3, [3], [[0, 66]]]
E_4489(Q)_{tors}=[3, [3], [[0, 67]]]
E_4624(Q)_{tors}=[3, [3], [[0, 68]]]
E_4761(Q)_{tors}=[3, [3], [[0, 69]]]
E_4900(Q)_{tors}=[3, [3], [[0, 70]]]
E_4913(Q)_{tors}=[2, [2], [[-17, 0]]]
time = 6 ms.

■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
4001	[0, 0, 0, 0, 4001] 0 1728864108	{O} -	1	[-889014 : 3532409 : 74088]	10.7590999740724	-	4001
4002	[0, 0, 0, 0, 4002] 0 6918913728	{O} -	0	-	-	-	4002
4003	[0, 0, 0, 0, 4003] 0 6922371888	{O} -	0	-	-	-	4003
4004	[0, 0, 0, 0, 4004] 0 36072036	{O} -	2	[16 : 90 : 1], [53 : 391 : 1]	1.94741114298116, 4.15740933785731	[16, 90], [53, 391], [100, 1002]	4004
4005	[0, 0, 0, 0, 4005] 0 192480300	{O} -	1	[18 : 507 : 8]	3.88440493977095	-	4005
4006	[0, 0, 0, 0, 4006] 0 2310917184	{O} -	1	[-30 : 503 : 8]	4.62107368051439	-	4006
4007	[0, 0, 0, 0, 4007] 0 6936213168	{O} -	1	[2739 : 27640 : 27]	6.91348854173166	-	4007
4008	[0, 0, 0, 0, 4008] 0 433729728	{O} -	1	[462 : 2564 : 27]	4.95004411664153	-	4008
4009	[0, 0, 0, 0, 4009] 0 1735784748	{O} -	2	[6 : 65 : 1], [12024 : 67195 : 729]	2.79148560026389, 7.36450012390812	[6, 65]	4009
4010	[0, 0, 0, 0, 4010] 0 6946603200	{O} -	0	-	-	-	4010
4011	[0, 0, 0, 0, 4011] 0 6950068272	{O} -	2	[-94 : 391 : 8], [130259813655 : 940374442916 : 2576987811]	4.66895524274687, 18.5660692461000	-	4011
4012	[0, 0, 0, 0, 4012] 0 434595888	{O} -	0	-	-	-	4012
4013	[0, 0, 0, 0, 4013] 0 579750084	{O} -	2	[7 : 66 : 1], [658 : 5989 : 8]	2.71469771759794, 5.91572030531186	[7, 66]	4013
4014	[0, 0, 0, 0, 4014] 0 773385408	{O} -	1	[43 : 289 : 1]	3.99351443627893	[43, 289]	4014
4015	[0, 0, 0, 0, 4015] 0 2321312400	{O} -	1	[-543291 : 4092058 : 68921]	10.6835906690321	-	4015
4016	[0, 0, 0, 0, 4016] 0 27216432	{O} -	1	[-8340 : 107963 : 1728]	8.20984552126333	-	4016
4017	[0, 0, 0, 0, 4017] 0 1742719212	{O} -	0	-	-	-	4017
4018	[0, 0, 0, 0, 4018] 0 142333632	{O} -	1	[108812919 : 786564197 : 2146689]	13.8414496576431	-	4018
4019	[0, 0, 0, 0, 4019] 0 6977819952	{O} -	0	-	-	-	4019
4020	[0, 0, 0, 0, 4020] 0 109082700	{O} -	1	[7406004333 : 141302573621 : 20346417]	17.1429618289323	-	4020
4021	[0, 0, 0, 0, 4021] 0 1746191628	{O} -	3	[15 : 86 : 1], [-78 : 445 : 8], [309 : 2006 : 27]	3.40007619186438, 4.65540950243222, 5.52675179143977	[15, 86]	4021
4022	[0, 0, 0, 0, 4022] 0 2329413696	{O} -	1	[203 : 2893 : 1]	5.36144754106405	[203, 2893]	4022
4023	[0, 0, 0, 0, 4023] 0 9590832	{O} -	0	-	-	-	4023
4024	[0, 0, 0, 0, 4024] 0 145733184	{O} -	1	[19610 : 107541 : 1000]	7.55992950506547	-	4024
4025	[0, 0, 0, 0, 4025] 0 69986700	{O} -	1	[-10 : 55 : 1]	1.73609256934326	[-10, 55]	4025
4026	[0, 0, 0, 0, 4026] 0 7002148032	{O} -	1	[-205 : 7927 : 125]	6.44935998431177	-	4026
4027	[0, 0, 0, 0, 4027] 0 7005626928	{O} -	1	[880346838215559 : -20877629750585084 : 1565340692131]	25.0690300561053	-	4027
4028	[0, 0, 0, 0, 4028] 0 438069168	{O} -	0	-	-	-	4028
4029	[0, 0, 0, 0, 4029] 0 1753146828	{O} -	1	[25177138740344313300430083 : -956512157545070696934080704 : 17443704156564245283801]	41.4236705961341	-	4029
4030	[0, 0, 0, 0, 4030] 0 7016068800	{O} -	0	-	-	-	4030
4031	[0, 0, 0, 0, 4031] 0 2339850384	{O} -	1	[-9915120 : 188717669 : 2985984]	13.1749305781293	-	4031
4032	[0, 0, 0, 0, 4032] 0 190512	{O} -	2	[-12 : 48 : 1], [4 : 64 : 1]	1.16740456186110, 1.85413136382490	[-12, 48], [4, 64], [9, 69], [57, 435]	4032
4033	[0, 0, 0, 0, 4033] 0 585543204	{O} -	2	[-4 : 63 : 1], [26 : 147 : 1]	2.22653428130881, 2.64029416983985	[-4, 63], [26, 147], [27, 154], [90548, 27246975]	4033
4034	[0, 0, 0, 0, 4034] 0 7030003392	{O} -	1	[525 : 2881 : 27]	5.69791037574577	-	4034
4035	[0, 0, 0, 0, 4035] 0 7033489200	{O} -	1	[-11 : 52 : 1]	3.27899535811994	[-11, 52]	4035
4036	[0, 0, 0, 0, 4036] 0 109952748	{O} -	0	-	-	-	4036
4037	[0, 0, 0, 0, 4037] 0 1760115852	{O} -	1	[196613999690769035 : -3091050916578252308 : 795696028179625]	28.4229384388111	-	4037
4038	[0, 0, 0, 0, 4038] 0 7043951808	{O} -	0	-	-	-	4038
4039	[0, 0, 0, 0, 4039] 0 7047441072	{O} -	0	-	-	-	4039
4040	[0, 0, 0, 0, 4040] 0 146894400	{O} -	1	[-14 : 36 : 1]	2.05954454191249	[-14, 36]	4040
4041	[0, 0, 0, 0, 4041] 0 195956172	{O} -	2	[10 : 71 : 1], [112 : 1187 : 1]	2.84437608571902, 4.34421291779634	[10, 71], [112, 1187]	4041
4042	[0, 0, 0, 0, 4042] 0 2352638016	{O} -	1	[36 : 4069 : 64]	6.00304719987402	-	4042
4043	[0, 0, 0, 0, 4043] 0 7061406768	{O} -	1	[-454100811880890902 : -1644559358287969475 : 36181269566000936]	28.7092794630180	-	4043
4044	[0, 0, 0, 0, 4044] 0 441556272	{O} -	1	[13 : 79 : 1]	3.36024648114772	[13, 79]	4044
4045	[0, 0, 0, 0, 4045] 0 1767098700	{O} -	2	[162 : 889 : 8], [97949733 : -628814194 : 8365427]	4.90612963694480, 13.9622788235111	-	4045
4046	[0, 0, 0, 0, 4046] 0 24470208	{O} -	1	[-13 : 43 : 1]	3.29470719770360	[-13, 43]	4046
4047	[0, 0, 0, 0, 4047] 0 7075386288	{O} -	2	[146 : 805 : 8], [-27248 : 250915 : 4096]	4.86009780187015, 8.79692856931441	-	4047
4048	[0, 0, 0, 0, 4048] 0 1728243	{O} -	2	[12 : 76 : 1], [7836 : 693652 : 1]	1.95510746329521, 7.58144027766698	[12, 76], [7836, 693652]	4048
4049	[0, 0, 0, 0, 4049] 0 590198436	{O} -	0	-	-	-	4049
4050	[0, 0, 0, 0, 4050] 0 388800	{O} -	1	[7502285 : 99277849 : 42875]	12.3314902225323	-	4050
4051	[0, 0, 0, 0, 4051] 0 2363126544	{O} -	1	[-15 : 26 : 1]	3.31068371947787	[-15, 26]	4051
4052	[0, 0, 0, 0, 4052] 0 110826252	{O} -	0	-	-	-	4052
4053	[0, 0, 0, 0, 4053] 0 1774095372	{O} -	0	-	-	-	4053
4054	[0, 0, 0, 0, 4054] 0 7099883712	{O} -	1	[-126 : 97 : 8]	4.70318519031668	-	4054
4055	[0, 0, 0, 0, 4055] 0 7103386800	{O} -	2	[2084 : 12571 : 64], [-11439 : 10088 : 729]	6.56715779547205, 7.71094125462897	-	4055
4056	[0, 0, 0, 0, 4056] 0 2628288	{O} -	0	-	-	-	4056
4057	[0, 0, 0, 0, 4057] 0 1777598892	{O} -	1	[1609608 : -9196595 : 59319]	10.5429563951526	-	4057
4058	[0, 0, 0, 0, 4058] 0 2371300416	{O} -	1	[39796189 : -239871865 : 1225043]	13.1387134267188	-	4058
4059	[0, 0, 0, 0, 4059] 0 790823088	{O} -	0	-	-	-	4059
4060	[0, 0, 0, 0, 4060] 0 148352400	{O} -	1	[-6 : 62 : 1]	2.55612501882139	[-6, 62]	4060
4061	[0, 0, 0, 0, 4061] 0 1781105868	{O} -	0	-	-	-	4061
4062	[0, 0, 0, 0, 4062] 0 7127932608	{O} -	1	[462586111 : 212262783559 : 2197]	17.3874405318656	-	4062
4063	[0, 0, 0, 0, 4063] 0 7131442608	{O} -	1	[33 : 200 : 1]	3.80380738126296	[33, 200]	4063
4064	[0, 0, 0, 0, 4064] 0 27870912	{O} -	2	[-7 : 61 : 1], [5877410 : 71915807 : 39304]	3.25505680622525, 12.1260501449382	[-7, 61]	4064
4065	[0, 0, 0, 0, 4065] 0 1784616300	{O} -	1	[31 : 184 : 1]	3.76213772936745	[31, 184]	4065
4066	[0, 0, 0, 0, 4066] 0 7141977792	{O} -	0	-	-	-	4066
4067	[0, 0, 0, 0, 4067] 0 48608784	{O} -	1	[193 : 2682 : 1]	4.76432083812729	[193, 2682]	4067
4068	[0, 0, 0, 0, 4068] 0 12411468	{O} -	0	-	-	-	4068
4069	[0, 0, 0, 0, 4069] 0 596043396	{O} -	2	[3 : 64 : 1], [-8120 : 4581 : 512]	3.23845434114941, 6.92842068012602	[3, 64]	4069
4070	[0, 0, 0, 0, 4070] 0 7156036800	{O} -	1	[-604 : 3637 : 64]	6.04335565036080	-	4070
4071	[0, 0, 0, 0, 4071] 0 7159553712	{O} -	1	[1151164 : -8453059 : 21952]	10.8143259549992	-	4071
4072	[0, 0, 0, 0, 4072] 0 447691968	{O} -	1	[5442 : 141937 : 8]	7.92319386557460	-	4072
4073	[0, 0, 0, 0, 4073] 0 1791647532	{O} -	1	[381 : 2240 : 27]	5.58158136261843	-	4073
4074	[0, 0, 0, 0, 4074] 0 7170109632	{O} -	0	-	-	-	4074
4075	[0, 0, 0, 0, 4075] 0 286945200	{O} -	1	[355011 : -8487766 : 132651]	11.1013276001967	-	4075
4076	[0, 0, 0, 0, 4076] 0 149523984	{O} -	1	[125 : 1399 : 1]	4.90716257630163	[125, 1399]	4076
4077	[0, 0, 0, 0, 4077] 0 2462508	{O} -	1	[-92 : 4085 : 64]	6.00691018667123	-	4077
4078	[0, 0, 0, 0, 4078] 0 2394732096	{O} -	1	[3934 : 175293 : 2744]	7.96332539025289	-	4078
4079	[0, 0, 0, 0, 4079] 0 7187720112	{O} -	1	[8031 : 138518 : 27]	7.92550902203563	-	4079
4080	[0, 0, 0, 0, 4080] 0 28090800	{O} -	1	[2 : 511 : 8]	4.61971452563535	-	4080
4081	[0, 0, 0, 0, 4081] 0 1798692588	{O} -	0	-	-	-	4081
4082	[0, 0, 0, 0, 4082] 0 7198296768	{O} -	0	-	-	-	4082
4083	[0, 0, 0, 0, 4083] 0 7201824048	{O} -	0	-	-	-	4083
4084	[0, 0, 0, 0, 4084] 0 112583628	{O} -	1	[-1020 : 383 : 64]	6.09312950090120	-	4084
4085	[0, 0, 0, 0, 4085] 0 600740100	{O} -	0	-	-	-	4085
4086	[0, 0, 0, 0, 4086] 0 801379008	{O} -	0	-	-	-	4086
4087	[0, 0, 0, 0, 4087] 0 2405313936	{O} -	1	[51078678 : 1626205195 : 25412184]	14.6037074928121	-	4087
4088	[0, 0, 0, 0, 4088] 0 451217088	{O} -	1	[2 : 64 : 1]	2.54345532998062	[2, 64]	4088
4089	[0, 0, 0, 0, 4089] 0 1805751468	{O} -	0	-	-	-	4089
4090	[0, 0, 0, 0, 4090] 0 7226539200	{O} -	1	[13290 : 80233 : 1000]	7.97393024622589	-	4090
4091	[0, 0, 0, 0, 4091] 0 7230073392	{O} -	0	-	-	-	4091
4092	[0, 0, 0, 0, 4092] 0 452100528	{O} -	0	-	-	-	4092
4093	[0, 0, 0, 0, 4093] 0 1809286092	{O} -	3	[-9 : 58 : 1], [87 : 814 : 1], [-6225 : 999626 : 15625]	3.26962735094431, 4.57971434664435, 9.67228835136469	[-9, 58], [87, 814]	4093
4094	[0, 0, 0, 0, 4094] 0 2413560384	{O} -	3	[-5 : 63 : 1], [4 : 4095 : 64], [-7173 : 40859 : 729]	2.69778230038701, 5.45780897220084, 7.66977224810090	[-5, 63]	4094
4095	[0, 0, 0, 0, 4095] 0 804913200	{O} -	1	[1 : 64 : 1]	3.23522646719605	[1, 64]	4095
4096	[0, 0, 0, 0, 4096] 0 36	Z/6Z [32, 192]	0	-	-	[-16, 0], [0, 64], [32, 192]	4096
4097	[0, 0, 0, 0, 4097] 0 1812824172	{O} -	2	[-16 : 1 : 1], [-1 : 64 : 1]	2.85986767500597, 3.23534841531712	[-16, 1], [-1, 64], [147488, 56641537]	4097
4098	[0, 0, 0, 0, 4098] 0 7254836928	{O} -	3	[-51 : 1727 : 27], [367 : 7031 : 1], [5858 : 158519 : 8]	5.43408010050348, 5.93218980258334, 7.99585837291400	[367, 7031], [4303, 282265]	4098
4099	[0, 0, 0, 0, 4099] 0 7258378032	{O} -	1	[46693589460 : -278770678163 : 1481544000]	17.8515419822572	-	4099
4100	[0, 0, 0, 0, 4100] 0 4538700	{O} -	2	[5 : 65 : 1], [-16 : 2 : 1]	2.17946025168635, 2.39798224332876	[-16, 2], [5, 65], [20, 110], [36896, 7087106]	4100
4101	[0, 0, 0, 0, 4101] 0 1816365708	{O} -	1	[55437052695 : 1048958193178 : 154854153]	18.4800259656477	-	4101
4102	[0, 0, 0, 0, 4102] 0 7269006528	{O} -	0	-	-	-	4102
4103	[0, 0, 0, 0, 4103] 0 2424183696	{O} -	1	[37 : 234 : 1]	3.33523868986420	[37, 234]	4103
4104	[0, 0, 0, 0, 4104] 0 207936	{O} -	2	[-15 : 27 : 1], [-2 : 64 : 1]	1.66658309844894, 2.54442798333055	[-15, 27], [-2, 64], [66, 540]	4104
4105	[0, 0, 0, 0, 4105] 0 606636900	{O} -	2	[-16 : 3 : 1], [116 : 1251 : 1]	2.31112837525192, 3.82739680031077	[-16, 3], [116, 1251], [16416, 2103299]	4105
4106	[0, 0, 0, 0, 4106] 0 7283189952	{O} -	1	[-78015695110185 : 731018868107977 : 11828974586625]	23.3237992604999	-	4106
4107	[0, 0, 0, 0, 4107] 0 5322672	{O} -	1	[2405 : 13246 : 125]	4.31088675553393	-	4107
4108	[0, 0, 0, 0, 4108] 0 455642928	{O} -	1	[1767 : 14399 : 27]	6.53056495264666	-	4108
4109	[0, 0, 0, 0, 4109] 0 1823459148	{O} -	1	[1235 : 140834 : 2197]	8.36583481021256	-	4109
4110	[0, 0, 0, 0, 4110] 0 7297387200	{O} -	2	[98 : 617 : 8], [499 : 11147 : 1]	4.73626729526062, 6.23235293072454	[499, 11147]	4110
4111	[0, 0, 0, 0, 4111] 0 7300938672	{O} -	0	-	-	-	4111
4112	[0, 0, 0, 0, 4112] 0 594441	{O} -	3	[-8 : 60 : 1], [8 : 68 : 1], [-16 : 4 : 1]	1.32913588210191, 1.89685754701251, 1.93673341559455	[-16, 4], [-8, 60], [8, 68], [17, 95], [64, 516], [73, 627], [88, 828], [2984, 163004], [9248, 889348], [15992, 2022340]	4112
4113	[0, 0, 0, 0, 4113] 0 203001228	{O} -	1	[-14 : 37 : 1]	2.84521829533089	[-14, 37]	4113
4114	[0, 0, 0, 0, 4114] 0 20142144	{O} -	0	-	-	-	4114
4115	[0, 0, 0, 0, 4115] 0 7315153200	{O} -	1	[658797702248652315798819242496327506 : 12544249531372673582740573321102307393 : 1817206843493749941241148229242824]	56.9753846565901	-	4115
4116	[0, 0, 0, 0, 4116] 0 47628	{O} -	0	-	-	-	4116
4117	[0, 0, 0, 0, 4117] 0 1830566412	{O} -	0	-	-	-	4117
4118	[0, 0, 0, 0, 4118] 0 7325823168	{O} -	0	-	-	-	4118
4119	[0, 0, 0, 0, 4119] 0 7329381552	{O} -	0	-	-	-	4119
4120	[0, 0, 0, 0, 4120] 0 458308800	{O} -	0	-	-	-	4120
4121	[0, 0, 0, 0, 4121] 0 611375076	{O} -	2	[-16 : 5 : 1], [40 : 261 : 1]	2.86156509630367, 2.93016814506219	[-16, 5], [40, 261]	4121
4122	[0, 0, 0, 0, 4122] 0 815562432	{O} -	1	[185065825 : -1140643853 : 5359375]	14.1659792381753	-	4122
4123	[0, 0, 0, 0, 4123] 0 2447874576	{O} -	1	[-3 : 64 : 1]	3.24172058626582	[-3, 64]	4123
4124	[0, 0, 0, 0, 4124] 0 459199152	{O} -	1	[-114 : 1718 : 27]	4.75021198333497	-	4124
4125	[0, 0, 0, 0, 4125] 0 2940300	{O} -	0	-	-	-	4125
4126	[0, 0, 0, 0, 4126] 0 7354314432	{O} -	1	[-375 : 1027 : 27]	5.50461886669938	-	4126
4127	[0, 0, 0, 0, 4127] 0 7357879728	{O} -	0	-	-	-	4127
4128	[0, 0, 0, 0, 4128] 0 28755648	{O} -	0	-	-	-	4128
4129	[0, 0, 0, 0, 4129] 0 1841253228	{O} -	1	[-12 : 49 : 1]	2.83122799957587	[-12, 49]	4129
4130	[0, 0, 0, 0, 4130] 0 2456193600	{O} -	1	[751621 : -7880403 : 6859]	10.1266667317526	-	4130
4131	[0, 0, 0, 0, 4131] 0 1123632	{O} -	1	[39 : 1736 : 27]	5.43605420568269	-	4131
4132	[0, 0, 0, 0, 4132] 0 38415204	{O} -	2	[-16 : 6 : 1], [24 : 134 : 1]	1.85093570889655, 2.68559605387827	[-16, 6], [24, 134], [4128, 265222]	4132
4133	[0, 0, 0, 0, 4133] 0 1844822412	{O} -	2	[-13 : 44 : 1], [259912 : 5856139 : 512]	3.30109724270024, 10.4081035847021	[-13, 44]	4133
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4142	[0, 0, 0, 0, 4142] 0 7411462848	{O} -	1	[11958 : 90053 : 216]	7.77841784300199	-	4142
4143	[0, 0, 0, 0, 4143] 0 7415041968	{O} -	1	[-8056 : 8057 : 512]	7.48197700827224	-	4143
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4185	[0, 0, 0, 0, 4185] 0 2594700	{O} -	2	[-6 : 63 : 1], [16 : 91 : 1]	1.33215296209370, 2.96839714440188	[-6, 63], [16, 91], [39, 252]	4185
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4187	[0, 0, 0, 0, 4187] 0 7573378608	{O} -	1	[-7 : 62 : 1]	3.26460060024842	[-7, 62]	4187
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4195	[0, 0, 0, 0, 4195] 0 2534115600	{O} -	1	[21 : 116 : 1]	3.54349385332987	[21, 116]	4195
4196	[0, 0, 0, 0, 4196] 0 118843308	{O} -	2	[-16 : 10 : 1], [130 : 737 : 8]	2.40471207662579, 4.82278217768292	[-16, 10]	4196
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4198	[0, 0, 0, 0, 4198] 0 7613224128	{O} -	1	[3 : 65 :1]	3.24872972894482	[3, 65]	4198
4199	[0, 0, 0, 0, 4199] 0 7616851632	{O} -	0	-	-	-	4199
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4201	[0, 0, 0, 0, 4201] 0 1906027308	{O} -	1	[12 : 77 : 1]	2.88895189195136	[12, 77]	4201
4202	[0, 0, 0, 0, 4202] 0 2542579776	{O} -	1	[482136 : 2985011 : 13824]	10.2013808434280	-	4202
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4204	[0, 0, 0, 0, 4204] 0 159062544	{O} -	1	[210 : 1846 : 27]	4.79118158289391	-	4204
4205	[0, 0, 0, 0, 4205] 0 2270700	{O} -	1	[551 : 12934 : 1]	4.08489025803880	[551, 12934]	4205
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4218	[0, 0, 0, 0, 4218] 0 7685938368	{O} -	2	[-53277 : 587735 : 9261], [104102614 : 10293390095 : 10648]	9.34940963999823, 15.3708615904111	-	4218
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4224	[0, 0, 0, 0, 4224] 0 1881792	{O} -	1	[1 : 65 : 1]	3.24555216402642	[1, 65]	4224
4225	[0, 0, 0, 0, 4225] 0 456300	Z/3Z [0, 65]	1	[210 : 1195 : 8]	3.97706381722365	[0, 65]	4225
4226	[0, 0, 0, 0, 4226] 0 7715120832	{O} -	2	[-1 : 65 : 1], [5732991773135 : -32306718677389 : 340799721625]	3.24567039118471, 21.1535504010387	[-1, 65]	4226
4227	[0, 0, 0, 0, 4227] 0 7718772528	{O} -	2	[1371 : 9926 : 27], [230331072 : 1392195203 : 7077888]	6.32388398622455, 14.3136929965178	-	4227
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4329	[0, 0, 0, 0, 4329] 0 224882892	{O} -	3	[-12 : 51 : 1], [3 : 66 : 1], [-9 : 60 : 1]	2.11320606356611, 2.52644077172306, 2.55481916759615	[-12, 51], [-9, 60], [3, 66], [10, 73], [30, 177], [48, 339], [1390, 51823]	4329
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4350	[0, 0, 0, 0, 4350] 0 326980800	{O} -	2	[-5 : 65 : 1], [115 : 1235 : 1]	2.19389402860756, 3.75962022666024	[-5, 65], [115, 1235]	4350
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4356	[0, 0, 0, 0, 4356] 0 117612	Z/3Z [0, 66]	2	[-11 : 55 : 1], [-8 : 62 : 1]	1.70392538619677, 2.35882458006020	[-11, 55], [-8, 62], [0, 66], [12, 78], [45, 309], [132, 1518], [264, 4290], [1540, 60434]	4356
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4416	[0, 0, 0, 0, 4416] 0 514188	{O} -	1	[-60 : 1792 : 27]	4.07330690108667	-	4416
4417	[0, 0, 0, 0, 4417] 0 2107068012	{O} -	1	[114 : 1219 : 1]	4.36297677541906	[114, 1219]	4417
4418	[0, 0, 0, 0, 4418] 0 1272384	{O} -	2	[47 : 329 : 1], [7 : 69 : 1]	1.50240608871067, 2.74436548933790	[7, 69], [47, 329], [4967, 350059]	4418
4419	[0, 0, 0, 0, 4419] 0 937322928	{O} -	1	[-15565 : 70678 : 1331]	8.10759365001481	-	4419
4420	[0, 0, 0, 0, 4420] 0 43956900	{O} -	2	[-4 : 66 : 1], [-16 : 18 : 1]	1.79451536814037, 1.87056153788122	[-16, 18], [-4, 66], [36, 226], [69, 577]	4420
4421	[0, 0, 0, 0, 4421] 0 2110886028	{O} -	0	-	-	-	4421
4422	[0, 0, 0, 0, 4422] 0 8447364288	{O} -	1	[-1448691037 : 8181714917 : 141420761]	15.8135036699420	-	4422
4423	[0, 0, 0, 0, 4423] 0 8451185328	{O} -	1	[-190646466180863658 : -578018044261496369 : 13761540704242072]	28.1016177449383	-	4423
4424	[0, 0, 0, 0, 4424] 0 528437952	{O} -	0	-	-	-	4424
4425	[0, 0, 0, 0, 4425] 0 84588300	{O} -	2	[4 : 67 : 1], [-14 : 41 : 1]	2.80863555861020, 2.86698459223857	[-14, 41], [4, 67], [46, 319]	4425
4426	[0, 0, 0, 0, 4426] 0 8462653632	{O} -	0	-	-	-	4426
4427	[0, 0, 0, 0, 4427] 0 2822159376	{O} -	1	[26931 : -850546 : 27]	9.11254604085672	-	4427
4428	[0, 0, 0, 0, 4428] 0 726192	{O} -	1	[21 : 117 : 1]	2.08810058953505	[21, 117]	4428
4429	[0, 0, 0, 0, 4429] 0 706177476	{O} -	2	[34 : 537 : 8], [2994 : 57923 : 8]	4.10941843350999, 7.33821681833989	-	4429
4430	[0, 0, 0, 0, 4430] 0 8477956800	{O} -	1	[86458830206952074399765693264363 : -601785226189361179787065522628581 : 7964328757557562959095236044217]	50.7806992268986	-	4430
4431	[0, 0, 0, 0, 4431] 0 8481784752	{O} -	1	[50 : 547 : 8]	4.67365611939899	-	4431
4432	[0, 0, 0, 0, 4432] 0 2071683	{O} -	1	[-12 : 52 : 1]	1.92858066482368	[-12, 52]	4432
4433	[0, 0, 0, 0, 4433] 0 2122360812	{O} -	1	[246 : 1945 : 27]	5.05504147069904	-	4433
4434	[0, 0, 0, 0, 4434] 0 8493273792	{O} -	2	[31 : 185 : 1], [3357579 : -886428413 : 13312053]	3.77225652780421, 14.1972740747452	[31, 185]	4434
4435	[0, 0, 0, 0, 4435] 0 8497105200	{O} -	0	-	-	-	4435
4436	[0, 0, 0, 0, 4436] 0 44275716	{O} -	0	-	-	-	4436
4437	[0, 0, 0, 0, 4437] 0 236243628	{O} -	1	[162 : 903 : 8]	4.19031354582036	-	4437
4438	[0, 0, 0, 0, 4438] 0 2836201536	{O} -	1	[114 : 685 : 8]	4.79386973497406	-	4438
4439	[0, 0, 0, 0, 4439] 0 8512439472	{O} -	1	[-7 : 64 : 1]	3.28332569608324	[-7, 64]	4439
4440	[0, 0, 0, 0, 4440] 0 532267200	{O} -	1	[14136642 : -114687656 : 1601613]	12.1477734393881	-	4440
4441	[0, 0, 0, 0, 4441] 0 2130027948	{O} -	2	[-6 : 65 : 1], [162 : 2063 : 1]	2.81616315444675, 4.68803049563520	[-6, 65], [162, 2063]	4441
4442	[0, 0, 0, 0, 4442] 0 8523949248	{O} -	0	-	-	-	4442
4443	[0, 0, 0, 0, 4443] 0 8527787568	{O} -	0	-	-	-	4443
4444	[0, 0, 0, 0, 4444] 0 533226672	{O} -	0	-	-	-	4444
4445	[0, 0, 0, 0, 4445] 0 711288900	{O} -	2	[11 : 76 : 1], [-1603 : 22604 : 343]	3.34894461403035, 7.16432841660425	[11, 76]	4445
4446	[0, 0, 0, 0, 4446] 0 948811968	{O} -	1	[21894 : -220895 : 216]	8.30248780926990	-	4446
4447	[0, 0, 0, 0, 4447] 0 2847716496	{O} -	1	[235389 : -1337804 : 9261]	9.74157491342661	-	4447
4448	[0, 0, 0, 0, 4448] 0 33386688	{O} -	1	[1474 : 20015 : 8]	6.65757258708044	-	4448
4449	[0, 0, 0, 0, 4449] 0 2137708908	{O} -	0	-	-	-	4449
4450	[0, 0, 0, 0, 4450] 0 342187200	{O} -	2	[-9 : 61 : 1], [-414777 : 1939429 : 35937]	3.29589351010225, 10.3058821113231	[-9, 61]	4450
4451	[0, 0, 0, 0, 4451] 0 8558525232	{O} -	2	[149 : 1820 : 1], [31476130 : -192551983 : 941192]	5.07201033483273, 12.9926123755564	[149, 1820]	4451
4452	[0, 0, 0, 0, 4452] 0 133787052	{O} -	1	[37836 : -276886 : 729]	7.61785637791000	-	4452
4453	[0, 0, 0, 0, 4453] 0 2141554572	{O} -	1	[33576770550 : -217772619953 : 857375000]	17.6459843469195	-	4453
4454	[0, 0, 0, 0, 4454] 0 2856688704	{O} -	1	[178 : 995 : 8]	4.96833111853683	-	4454
4455	[0, 0, 0, 0, 4455] 0 11761200	{O} -	1	[9 : 72 : 1]	1.85504862844964	[9, 72]	4455
4456	[0, 0, 0, 0, 4456] 0 178703424	{O} -	1	[5005 : 32751 : 125]	6.61880705370881	-	4456
4457	[0, 0, 0, 0, 4457] 0 2145403692	{O} -	2	[-16 : 19 : 1], [812 : 22933 : 343]	2.88439928210027, 6.69599115313744	[-16, 19]	4457
4458	[0, 0, 0, 0, 4458] 0 8585466048	{O} -	1	[338 : 2261 : 8]	5.37521920941671	-	4458
4459	[0, 0, 0, 0, 4459] 0 3577392	{O} -	1	[105 : 1078 : 1]	2.80491793989939	[105, 1078]	4459
4460	[0, 0, 0, 0, 4460] 0 537073200	{O} -	0	-	-	-	4460
4461	[0, 0, 0, 0, 4461] 0 2149256268	{O} -	1	[-60081 : 599320 : 9261]	9.37122880871141	-	4461
4462	[0, 0, 0, 0, 4462] 0 8600879808	{O} -	2	[3 : 67 : 1], [-18525 : 1043527 : 15625]	3.26881673229770, 9.70173359185871	[3, 67]	4462
4463	[0, 0, 0, 0, 4463] 0 2868245136	{O} -	1	[-56807800 : -512558541 : 8000000]	13.3329352326348	-	4463
4464	[0, 0, 0, 0, 4464] 0 3736368	{O} -	2	[-15 : 33 : 1], [33 : 201 : 1]	2.60685583395616, 3.08165939038301	[-15, 33], [33, 201]	4464
4465	[0, 0, 0, 0, 4465] 0 717704100	{O} -	0	-	-	-	4465
4466	[0, 0, 0, 0, 4466] 0 8616307392	{O} -	1	[48513471155548 : -641511386225893 : 277678245824]	22.7876950176309	-	4466
4467	[0, 0, 0, 0, 4467] 0 8620166448	{O} -	1	[-11 : 56 : 1]	3.31027143921564	[-11, 56]	4467
4468	[0, 0, 0, 0, 4468] 0 134750412	{O} -	0	-	-	-	4468
4469	[0, 0, 0, 0, 4469] 0 2156971788	{O} -	1	[5100309110 : 28719163721 : 213847192]	16.4056167696278	-	4469
4470	[0, 0, 0, 0, 4470] 0 8631748800	{O} -	0	-	-	-	4470
4471	[0, 0, 0, 0, 4471] 0 8635611312	{O} -	2	[-60 : 4279 : 64], [77531025 : 5461391164 : 15625]	6.03695856256059, 14.9493548202458	-	4471
4472	[0, 0, 0, 0, 4472] 0 179989056	{O} -	1	[274 : 4536 : 1]	4.40768309435357	[274, 4536]	4472
4473	[0, 0, 0, 0, 4473] 0 240092748	{O} -	0	-	-	-	4473
4474	[0, 0, 0, 0, 4474] 0 2882401344	{O} -	1	[23 : 129 : 1]	3.05029201214734	[23, 129]	4474
4475	[0, 0, 0, 0, 4475] 0 346042800	{O} -	0	-	-	-	4475
4476	[0, 0, 0, 0, 4476] 0 540933552	{O} -	1	[10 : 74 : 1]	2.64218344343375	[10, 74]	4476
4477	[0, 0, 0, 0, 4477] 0 17890092	{O} -	1	[-126 : 191 : 8]	4.73216796307915	-	4477
4478	[0, 0, 0, 0, 4478] 0 8662673088	{O} -	2	[295 : 8377 : 125], [-955510056364 : -2063938433335 : 63425726272]	6.48667867071225, 19.9227745127624	-	4478
4479	[0, 0, 0, 0, 4479] 0 8666542512	{O} -	2	[1568315 : -9909752 : 42875], [9813136 : -480321275 : 4096]	10.9956479575198, 13.3308753462296	-	4479
4480	[0, 0, 0, 0, 4480] 0 2116800	{O} -	0	-	-	-	4480
4481	[0, 0, 0, 0, 4481] 0 722856996	{O} -	4	[-8 : 63 : 1], [-5 : 66 : 1], [2 : 67 : 1], [-10 : 59 : 1]	2.28060063540141, 2.72722041265660, 2.80494427624539, 2.84240600572329	[-10, 59], [-8, 63], [-5, 66], [2, 67], [14, 85], [22, 123], [32, 193], [175, 2316], [364, 6945], [640, 16191], [1862, 80347], [3739, 228630]	4481
4482	[0, 0, 0, 0, 4482] 0 11904192	{O} -	1	[-78 : 477 : 8]	3.22441456687625	-	4482
4483	[0, 0, 0, 0, 4483] 0 2894009616	{O} -	1	[-1055 : 7788 : 125]	5.96434019567193	-	4483
4484	[0, 0, 0, 0, 4484] 0 135717228	{O} -	0	-	-	-	4484
4485	[0, 0, 0, 0, 4485] 0 2172444300	{O} -	0	-	-	-	4485
4486	[0, 0, 0, 0, 4486] 0 8693652672	{O} -	1	[204729414240 : -1434889698767 : 4346707968]	18.8670895316895	-	4486
4487	[0, 0, 0, 0, 4487] 0 8697529008	{O} -	0	-	-	-	4487
4488	[0, 0, 0, 0, 4488] 0 543837888	{O} -	2	[1 : 67 : 1], [3364 : 24763 : 64]	3.26573590708604, 6.93082902964431	[1, 67]	4488
4489	[0, 0, 0, 0, 4489] 0 484812	Z/3Z [0, 67]	1	[-126 : 193 : 8]	4.73295191050502	[0, 67]	4489
4490	[0, 0, 0, 0, 4490] 0 2903054400	{O} -	1	[-1 : 67 : 1]	3.26584718557972	[-1, 67]	4490
4491	[0, 0, 0, 0, 4491] 0 968115888	{O} -	0	-	-	-	4491
4492	[0, 0, 0, 0, 4492] 0 181602576	{O} -	1	[82 : 597 : 8]	4.17707286994137	-	4492
4493	[0, 0, 0, 0, 4493] 0 2180201292	{O} -	2	[71 : 602 : 1], [3327962441807 : -24442750712744 : 328651850701]	4.40702757718676, 21.0171259195535	[71, 602]	4493
4494	[0, 0, 0, 0, 4494] 0 8724687552	{O} -	1	[2494870 : 23958061 : 343000]	11.7987764592390	-	4494
4495	[0, 0, 0, 0, 4495] 0 8728570800	{O} -	1	[11763784956534 : 209605530011861 : 37059263704]	22.0161122466063	-	4495
4496	[0, 0, 0, 0, 4496] 0 2131947	{O} -	2	[-16 : 20 : 1], [17 : 97 : 1]	1.96274753122345, 3.46743823976886	[-16, 20], [17, 97]	4496
4497	[0, 0, 0, 0, 4497] 0 2184084972	{O} -	1	[-2 : 67 : 1]	2.80583198762618	[-2, 67]	4497
4498	[0, 0, 0, 0, 4498] 0 8740225728	{O} -	0	-	-	-	4498
4499	[0, 0, 0, 0, 4499] 0 2914704144	{O} -	1	[5 : 68 : 1]	3.28226928083244	[5, 68]	4499
4500	[0, 0, 0, 0, 4500] 0 24300	{O} -	0	-	-	-	4500
4501	[0, 0, 0, 0, 4501] 0 729324036	{O} -	2	[-13 : 48 : 1], [1365 : 2876462 : 42875]	2.77747536611417, 10.3768131067191	[-13, 48]	4501
4502	[0, 0, 0, 0, 4502] 0 8755777728	{O} -	1	[274 : 1691 : 8]	5.22632448108068	-	4502
4503	[0, 0, 0, 0, 4503] 0 8759667888	{O} -	1	[147 : 1844 : 27]	5.48300528602638	-	4503
4504	[0, 0, 0, 0, 4504] 0 547722432	{O} -	1	[795 : 4679 : 27]	5.93874038440385	-	4504
4505	[0, 0, 0, 0, 4505] 0 2191862700	{O} -	1	[2488300234 : -95616761969 : 1685159]	16.4005232523327	-	4505
4506	[0, 0, 0, 0, 4506] 0 8771343552	{O} -	0	-	-	-	4506
4507	[0, 0, 0, 0, 4507] 0 8775237168	{O} -	2	[-29442 : 156955 : 2744], [2669805 : -15692642 : 91125]	8.58929072502417, 11.3518290766780	-	4507
4508	[0, 0, 0, 0, 4508] 0 3732624	{O} -	1	[-14 : 42 : 1]	0.79490089757066	[-14, 42], [77, 679]	4508
4509	[0, 0, 0, 0, 4509] 0 3012012	{O} -	1	[-339 : 1358 : 27]	5.52132103624239	-	4509
4510	[0, 0, 0, 0, 4510] 0 2928974400	{O} -	1	[-8656461 : -117422983 : 1771561]	12.8697246146933	-	4510
4511	[0, 0, 0, 0, 4511] 0 8790820272	{O} -	3	[29 : 170 : 1], [-695 : 8234 : 125], [737 : 20008 : 1]	3.73228430821538, 6.50009249773627, 6.61637773203136	[29, 170], [737, 20008]	4511
4512	[0, 0, 0, 0, 4512] 0 34354368	{O} -	1	[545370245 : 3464942249 : 14706125]	14.8978588063343	-	4512
4513	[0, 0, 0, 0, 4513] 0 2199654252	{O} -	2	[12 : 79 : 1], [96 : 943 : 1]	2.90774996686463, 4.20872199169993	[12, 79], [96, 943]	4513
4514	[0, 0, 0, 0, 4514] 0 8802516672	{O} -	0	-	-	-	4514
4515	[0, 0, 0, 0, 4515] 0 8806417200	{O} -	0	-	-	-	4515
4516	[0, 0, 0, 0, 4516] 0 137661228	{O} -	1	[-3 : 67 : 1]	3.27179862563870	[-3, 67]	4516
4517	[0, 0, 0, 0, 4517] 0 734518404	{O} -	0	-	-	-	4517
4518	[0, 0, 0, 0, 4518] 0 979791552	{O} -	0	-	-	-	4518
4519	[0, 0, 0, 0, 4519] 0 2940675984	{O} -	1	[1906170 : 10876069 : 74088]	11.1370667210315	-	4519
4520	[0, 0, 0, 0, 4520] 0 551620800	{O} -	1	[41 : 271 : 1]	3.96787477850749	[41, 271]	4520
4521	[0, 0, 0, 0, 4521] 0 2207459628	{O} -	0	-	-	-	4521
4522	[0, 0, 0, 0, 4522] 0 8833745088	{O} -	1	[-116012363967 : 69874639085 : 7066834559]	18.4730641395576	-	4522
4523	[0, 0, 0, 0, 4523] 0 8837652528	{O} -	0	-	-	-	4523
4524	[0, 0, 0, 0, 4524] 0 552597552	{O} -	0	-	-	-	4524
4525	[0, 0, 0, 0, 4525] 0 88454700	{O} -	2	[-30 : 535 : 8], [135 : 1570 : 1]	3.58817620668452, 3.90789346570751	[135, 1570]	4525
4526	[0, 0, 0, 0, 4526] 0 2949793344	{O} -	1	[10240825 : 181779831 : 2685619]	12.5967669597252	-	4526
4527	[0, 0, 0, 0, 4527] 0 983698992	{O} -	1	[13 : 82 : 1]	3.38855100791922	[13, 82]	4527
4528	[0, 0, 0, 0, 4528] 0 11532816	{O} -	1	[18 : 539 : 8]	4.65745597566041	-	4528
4529	[0, 0, 0, 0, 4529] 0 2215278828	{O} -	2	[8 : 71 : 1], [201 : 1898 : 27]	2.85013950922247, 5.50321834309888	[8, 71], [64670, 16445773]	4529
4530	[0, 0, 0, 0, 4530] 0 8865028800	{O} -	1	[-81287091941 : -703358135813 : 10955839861]	18.7035653067743	-	4530
4531	[0, 0, 0, 0, 4531] 0 8868943152	{O} -	1	[-15 : 34 : 1]	3.34366312999296	[-15, 34]	4531
4532	[0, 0, 0, 0, 4532] 0 138638412	{O} -	1	[-1055 : 7837 : 125]	6.51708544988808	-	4532
4533	[0, 0, 0, 0, 4533] 0 2219193612	{O} -	1	[-247933719062693580 : -179356409987653277 : 15138880315272000]	28.1917106677916	-	4533
4534	[0, 0, 0, 0, 4534] 0 8880691392	{O} -	2	[75 : 653 : 1], [1997874 : -14487835 : 39304]	4.45443161401849, 11.1850626258435	[75, 653]	4534
4535	[0, 0, 0, 0, 4535] 0 2961536400	{O} -	1	[-413 : 23094 : 343]	6.61192067977333	-	4535
4536	[0, 0, 0, 0, 4536] 0 762048	{O} -	0	-	-	-	4536
4537	[0, 0, 0, 0, 4537] 0 741037284	{O} -	2	[-16 : 21 : 1], [-12 : 53 : 1]	2.34029026391957, 2.85991646289104	[-16, 21], [-12, 53], [92, 885]	4537
4538	[0, 0, 0, 0, 4538] 0 8896367808	{O} -	1	[-77129 : 127063 : 4913]	9.01587369550966	-	4538
4539	[0, 0, 0, 0, 4539] 0 8900289072	{O} -	1	[25 : 142 : 1]	3.64633253123239	[25, 142]	4539
4540	[0, 0, 0, 0, 4540] 0 556513200	{O} -	1	[5653494 : -66787334 : 970299]	11.7884960602810	-	4540
4541	[0, 0, 0, 0, 4541] 0 2227033548	{O} -	1	[19472 : 279263 : 4096]	8.82879600429110	-	4541
4542	[0, 0, 0, 0, 4542] 0 8912058048	{O} -	0	-	-	-	4542
4543	[0, 0, 0, 0, 4543] 0 8915982768	{O} -	0	-	-	-	4543
4544	[0, 0, 0, 0, 4544] 0 725904	{O} -	1	[20 : 112 : 1]	2.14892978254364	[20, 112]	4544
4545	[0, 0, 0, 0, 4545] 0 247884300	{O} -	1	[6 : 69 : 1]	2.09868797121246	[6, 69]	4545
4546	[0, 0, 0, 0, 4546] 0 2975920704	{O} -	1	[15 : 89 : 1]	3.42823102229684	[15, 89]	4546
4547	[0, 0, 0, 0, 4547] 0 8931690288	{O} -	1	[9756593811295001485971884 : 175402283419817984843571761 : 2585967039711253081148608]	40.7531981456179	-	4547
4548	[0, 0, 0, 0, 4548] 0 139619052	{O} -	0	-	-	-	4548
4549	[0, 0, 0, 0, 4549] 0 2234887308	{O} -	0	-	-	-	4549
4550	[0, 0, 0, 0, 4550] 0 357739200	{O} -	1	[-75293 : 151481 : 4913]	9.01379539843801	-	4550
4551	[0, 0, 0, 0, 4551] 0 8947411632	{O} -	0	-	-	-	4551
4552	[0, 0, 0, 0, 4552] 0 559459008	{O} -	0	-	-	-	4552
4553	[0, 0, 0, 0, 4553] 0 746273124	{O} -	2	[16 : 93 : 1], [-4 : 67 : 1]	2.43765011216954, 2.81565708583935	[-4, 67], [16, 93], [52, 381]	4553
4554	[0, 0, 0, 0, 4554] 0 995467968	{O} -	1	[15969503074539 : -207550715226623 : 94631796693]	22.0378089562139	-	4554
4555	[0, 0, 0, 0, 4555] 0 2987715600	{O} -	1	[105925062 : -1060694119 : 1061208]	13.9559505529318	-	4555
4556	[0, 0, 0, 0, 4556] 0 560442672	{O} -	1	[250720938 : -1406419217 : 12812904]	14.4367852295659	-	4556
4557	[0, 0, 0, 0, 4557] 0 45770508	{O} -	2	[7 : 70 : 1], [10948 : 143255 : 64]	2.00599045037960, 6.67706442197922	[7, 70]	4557
4558	[0, 0, 0, 0, 4558] 0 8974957248	{O} -	1	[-231 : 1693 : 27]	5.49794011924613	-	4558
4559	[0, 0, 0, 0, 4559] 0 8978895792	{O} -	0	-	-	-	4559
4560	[0, 0, 0, 0, 4560] 0 2193075	{O} -	2	[4 : 68 : 1], [244 : 3812 : 1]	1.89424198608831, 4.15271172018196	[4, 68], [244, 3812]	4560
4561	[0, 0, 0, 0, 4561] 0 2246693868	{O} -	1	[2520 : 14117 : 125]	6.29624319832113	-	4561
4562	[0, 0, 0, 0, 4562] 0 2996905536	{O} -	1	[3595 : 21047 : 125]	6.94750093106128	-	4562
4563	[0, 0, 0, 0, 4563] 0 73008	{O} -	0	-	-	-	4563
4564	[0, 0, 0, 0, 4564] 0 46867716	{O} -	0	-	-	-	4564
4565	[0, 0, 0, 0, 4565] 0 2250636300	{O} -	0	-	-	-	4565
4566	[0, 0, 0, 0, 4566] 0 9006489792	{O} -	1	[-7562090518 : -61192394773 : 958585256]	17.0846438712652	-	4566
4567	[0, 0, 0, 0, 4567] 0 9010435248	{O} -	1	[114 : 691 : 8]	4.80074608117304	-	4567
4568	[0, 0, 0, 0, 4568] 0 563398848	{O} -	2	[-7 : 65 : 1], [19908 : 3153365 : 46656]	3.29251228681426, 10.4381826817531	[-7, 65]	4568
4569	[0, 0, 0, 0, 4569] 0 2254582188	{O} -	1	[538 : 12479 : 1]	5.84473339551201	[538, 12479]	4569
4570	[0, 0, 0, 0, 4570] 0 9022276800	{O} -	0	-	-	-	4570
4571	[0, 0, 0, 0, 4571] 0 3008741904	{O} -	1	[109 : 1140 : 1]	4.23610568545727	[109, 1140]	4571
4572	[0, 0, 0, 0, 4572] 0 62709552	{O} -	2	[-6 : 66 : 1], [18 : 102 : 1]	1.86211100516957, 2.06692196729078	[-6, 66], [18, 102], [37, 235]	4572
4573	[0, 0, 0, 0, 4573] 0 752843844	{O} -	2	[-9 : 62 : 1], [-7007 : 88560 : 1331]	3.30447175051458, 7.53079402090664	[-9, 62]	4573
4574	[0, 0, 0, 0, 4574] 0 9038077632	{O} -	1	[11695 : 113437 : 125]	7.86725339664589	-	4574
4575	[0, 0, 0, 0, 4575] 0 361681200	{O} -	0	-	-	-	4575
4576	[0, 0, 0, 0, 4576] 0 35335872	{O} -	1	[-127615965 : 427283719 : 9393931]	14.0397524040227	-	4576
4577	[0, 0, 0, 0, 4577] 0 2262484332	{O} -	1	[-1430 : 6937 : 125]	6.07756443361395	-	4577
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4580	[0, 0, 0, 0, 4580] 0 47196900	{O} -	2	[-16 : 22 : 1], [-11 : 57 : 1]	2.43025614538014, 2.76866624343728	[-16, 22], [-11, 57], [76, 666]	4580
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4582	[0, 0, 0, 0, 4582] 0 3023240256	{O} -	1	[1244711966668556288 : 7725474393818844417 : 35848210824036352]	28.7139580349892	-	4582
4583	[0, 0, 0, 0, 4583] 0 9073680048	{O} -	1	[-19050422 : -106320709 : 1815848]	12.9227931853156	-	4583
4584	[0, 0, 0, 0, 4584] 0 567352512	{O} -	1	[-1347206 : 6531860 : 117649]	10.4118256943227	-	4584
4585	[0, 0, 0, 0, 4585] 0 2270400300	{O} -	0	-	-	-	4585
4586	[0, 0, 0, 0, 4586] 0 9085563072	{O} -	0	-	-	-	4586
4587	[0, 0, 0, 0, 4587] 0 9089525808	{O} -	0	-	-	-	4587
4588	[0, 0, 0, 0, 4588] 0 568343088	{O} -	0	-	-	-	4588
4589	[0, 0, 0, 0, 4589] 0 758121156	{O} -	0	-	-	-	4589
4590	[0, 0, 0, 0, 4590] 0 4161600	{O} -	2	[19 : 107 : 1], [978 : 10827 : 8]	3.51506502705711, 4.62835610605311	[19, 107]	4590
4591	[0, 0, 0, 0, 4591] 0 3035128464	{O} -	1	[-110 : 357 : 8]	4.17521931936752	-	4591
4592	[0, 0, 0, 0, 4592] 0 35583408	{O} -	1	[260797692 : -26579578157 : 392223168]	16.4646008487424	-	4592
4593	[0, 0, 0, 0, 4593] 0 2278330092	{O} -	2	[-14 : 43 : 1], [43 : 290 : 1]	2.87810848012091, 4.00458129401507	[-14, 43], [43, 290]	4593
4594	[0, 0, 0, 0, 4594] 0 9117289152	{O} -	1	[525 : 2951 : 27]	5.72222232122495	-	4594
4595	[0, 0, 0, 0, 4595] 0 9121258800	{O} -	0	-	-	-	4595
4596	[0, 0, 0, 0, 4596] 0 142581708	{O} -	1	[-668114007225 : 567710978095477 : 8374083874443]	23.1105240643774	-	4596
4597	[0, 0, 0, 0, 4597] 0 2282300172	{O} -	3	[3 : 68 : 1], [-447 : 208 : 27], [-468252 : 2793943 : 46656]	3.27863751048584, 5.55702940271820, 10.4797396570351	[3, 68]	4597
4598	[0, 0, 0, 0, 4598] 0 25160256	{O} -	2	[11 : 77 : 1], [-13 : 49 : 1]	1.75963134775130, 3.33321795373290	[-13, 49], [11, 77]	4598
4599	[0, 0, 0, 0, 4599] 0 1015238448	{O} -	0	-	-	-	4599
4600	[0, 0, 0, 0, 4600] 0 7617600	{O} -	2	[-10 : 60 : 1], [-15 : 35 : 1]	0.99725703505057, 2.27517106070691	[-15, 35], [-10, 60], [9, 73], [50, 360], [386, 7584]	4600
4601	[0, 0, 0, 0, 4601] 0 2286273708	{O} -	0	-	-	-	4601
4602	[0, 0, 0, 0, 4602] 0 9149070528	{O} -	1	[65025896 : -500255471 : 1124864]	13.5254224352689	-	4602
4603	[0, 0, 0, 0, 4603] 0 9153047088	{O} -	1	[-714 : 14597 : 216]	6.86253258667556	-	4603
4604	[0, 0, 0, 0, 4604] 0 572314032	{O} -	0	-	-	-	4604
4605	[0, 0, 0, 0, 4605] 0 2290250700	{O} -	1	[-101538248391723 : 121217624737496 : 6277363000623]	23.0027013797938	-	4605
4606	[0, 0, 0, 0, 4606] 0 187040448	{O} -	0	-	-	-	4606
4607	[0, 0, 0, 0, 4607] 0 3056320656	{O} -	1	[2 : 543 : 8]	4.11089871613475	-	4607
4608	[0, 0, 0, 0, 4608] 0 15552	{O} -	1	[-8 : 64 : 1]	1.22144449790466	[-8, 64]	4608
4609	[0, 0, 0, 0, 4609] 0 764743716	{O} -	0	-	-	-	4609
4610	[0, 0, 0, 0, 4610] 0 9180907200	{O} -	1	[42922280170 : 4011906444751 : 4913000]	19.3480300631892	-	4610
4611	[0, 0, 0, 0, 4611] 0 9184890672	{O} -	1	[98126 : -615665 : 2744]	9.15023211198938	-	4611
4612	[0, 0, 0, 0, 4612] 0 143576172	{O} -	0	-	-	-	4612
4613	[0, 0, 0, 0, 4613] 0 2298215052	{O} -	1	[-76721 : -139390 : 4913]	9.02005078949302	-	4613
4614	[0, 0, 0, 0, 4614] 0 9196846272	{O} -	2	[-5 : 67 : 1], [1486892 : 8489471 : 85184]	3.28606663628398, 11.0510098982363	[-5, 67]	4614
4615	[0, 0, 0, 0, 4615] 0 9200833200	{O} -	2	[1605 : 10256 : 125], [-3594 : 629 : 216]	6.60941364001808, 6.94510215589147	-	4615
4616	[0, 0, 0, 0, 4616] 0 191767104	{O} -	1	[2 : 68 : 1]	2.58374068086371	[2, 68]	4616
4617	[0, 0, 0, 0, 4617] 0 350892	{O} -	1	[28 : 163 : 1]	3.25188900389674	[28, 163]	4617
4618	[0, 0, 0, 0, 4618] 0 3070933056	{O} -	1	[-1489618 : -3129471 : 97336]	10.4595533866696	-	4618
4619	[0, 0, 0, 0, 4619] 0 9216789552	{O} -	1	[119663000904791552924 : -1166230279577571312167 : 16491258041513318848]	32.8096271103537	-	4619
4620	[0, 0, 0, 0, 4620] 0 576298800	{O} -	1	[578 : 4943 : 8]	5.80958065231811	-	4620
4621	[0, 0, 0, 0, 4621] 0 2306193228	{O} -	0	-	-	-	4621
4622	[0, 0, 0, 0, 4622] 0 9228765888	{O} -	0	-	-	-	4622
4623	[0, 0, 0, 0, 4623] 0 9232759728	{O} -	2	[1 : 68 : 1], [13586 : 559877 : 8]	3.27560320313036, 8.82968101164598	[1, 68]	4623
4624	[0, 0, 0, 0, 4624] 0 7803	Z/3Z [0, 68]	1	[8568 : 793084 : 1]	5.78188222133715	[0, 68], [8568, 793084]	4624
4625	[0, 0, 0, 0, 4625] 0 1232100	{O} -	2	[10 : -75 : 1], [-1 : 68 : 1]	0.72380359185474, 3.27571123478420	[-16, 23], [-1, 68], [10, 75], [26, 149], [160, 2025]	4625
4626	[0, 0, 0, 0, 4626] 0 1027194048	{O} -	0	-	-	-	4626
4627	[0, 0, 0, 0, 4627] 0 3082914576	{O} -	1	[63459 : -447434 : 1331]	8.87952456005902	-	4627
4628	[0, 0, 0, 0, 4628] 0 144574092	{O} -	2	[-393 : 1061 : 27], [399 : 2393 : 27]	5.54382066499122, 5.62520699965450	-	4628
4629	[0, 0, 0, 0, 4629] 0 2314185228	{O} -	2	[-46 : 533 : 8], [40383040 : -501537413 : 262144]	4.67677925744790, 13.4217304647145	-	4629
4630	[0, 0, 0, 0, 4630] 0 9260740800	{O} -	1	[298700124 : 1895472119 : 22906304]	14.6929438751059	-	4630
4631	[0, 0, 0, 0, 4631] 0 9264741552	{O} -	0	-	-	-	4631
4632	[0, 0, 0, 0, 4632] 0 579296448	{O} -	2	[-2 : 68 : 1], [-9522 : 35740 : 729]	2.58460253875569, 7.03719033509375	[-2, 68]	4632
4633	[0, 0, 0, 0, 4633] 0 2318186412	{O} -	1	[-84816 : -359177 : 6859]	8.75775868747103	-	4633
4634	[0, 0, 0, 0, 4634] 0 3092249664	{O} -	1	[-12333796 : -20008743 : 778688]	11.8509267339247	-	4634
4635	[0, 0, 0, 0, 4635] 0 1031194800	{O} -	1	[-48923820 : -370901051 : 5832000]	13.6909324285972	-	4635
4636	[0, 0, 0, 0, 4636] 0 193432464	{O} -	1	[5 : 69 : 1]	2.74262034169174	[5, 69]	4636
4637	[0, 0, 0, 0, 4637] 0 2322191052	{O} -	0	-	-	-	4637
4638	[0, 0, 0, 0, 4638] 0 9292771008	{O} -	1	[6595466697027195994078282 : 526772875645454809243241315 : 1033926803997022241704]	41.0208156471500	-	4638
4639	[0, 0, 0, 0, 4639] 0 9296778672	{O} -	1	[7137 : 150190 : 2197]	8.41251837212635	-	4639
4640	[0, 0, 0, 0, 4640] 0 36331200	{O} -	0	-	-	-	4640
4641	[0, 0, 0, 0, 4641] 0 2326199148	{O} -	1	[2 : 545 : 8]	4.66265568011170	-	4641
4642	[0, 0, 0, 0, 4642] 0 9308806848	{O} -	2	[-1845 : 4721 : 125], [-39645642 : -31237115 : 2406104]	6.56789515329662, 13.1577155858048	-	4642
4643	[0, 0, 0, 0, 4643] 0 3104272656	{O} -	1	[-1052 : 909 : 64]	5.58507743271962	-	4643
4644	[0, 0, 0, 0, 4644] 0 66564	{O} -	1	[-12 : 54 : 1]	0.75701450079323	[-12, 54], [40, 262]	4644
4645	[0, 0, 0, 0, 4645] 0 776736900	{O} -	0	-	-	-	4645
4646	[0, 0, 0, 0, 4646] 0 9324856512	{O} -	1	[16593555 : -157577723 : 185193]	12.6967612945145	-	4646
4647	[0, 0, 0, 0, 4647] 0 9328871088	{O} -	1	[47461861209317500988343 : 271998866494512305265662 : 1830125225267535880971]	36.3093801586350	-	4647
4648	[0, 0, 0, 0, 4648] 0 583305408	{O} -	1	[8838 : 58456 : 729]	7.08106055569070	-	4648
4649	[0, 0, 0, 0, 4649] 0 2334225708	{O} -	1	[35 : 218 : 1]	3.85820247447921	[35, 218]	4649
4650	[0, 0, 0, 0, 4650] 0 373636800	{O} -	1	[-195 : 1765 : 27]	4.42368165633833	-	4650
4651	[0, 0, 0, 0, 4651] 0 9344938032	{O} -	2	[-3 : 68 : 1], [-149413695724988393400 : -252939567974121951841 : 9462803439772905984]	3.28153282825979, 32.4866190695353	-	4651
4652	[0, 0, 0, 0, 4652] 0 194769936	{O} -	1	[14 : 86 : 1]	2.72095176055619	[14, 86]	4652
4653	[0, 0, 0, 0, 4653] 0 259804908	{O} -	1	[27 : 156 : 1]	2.96115510691123	[27, 156]	4653
4654	[0, 0, 0, 0, 4654] 0 3118999104	{O} -	1	[-220 : 4347 : 64]	5.50634395752359	-	4654
4655	[0, 0, 0, 0, 4655] 0 191041200	{O} -	1	[161 : 2044 : 1]	3.84805217623579	[161, 2044]	4655
4656	[0, 0, 0, 0, 4656] 0 36582192	{O} -	1	[1544 : 35039 : 512]	7.44178233028005	-	4656
4657	[0, 0, 0, 0, 4657] 0 2342266092	{O} -	0	-	-	-	4657
4658	[0, 0, 0, 0, 4658] 0 9373088448	{O} -	0	-	-	-	4658
4659	[0, 0, 0, 0, 4659] 0 9377113392	{O} -	2	[19684 : -345235 : 64], [50435 : 323482 : 1331]	8.53468559188196, 8.70950709329882	-	4659
4660	[0, 0, 0, 0, 4660] 0 146580300	{O} -	1	[-39851466 : -25971269 : 2406104]	13.1594983925629	-	4660
4661	[0, 0, 0, 0, 4661] 0 782097156	{O} -	2	[-94 : 441 : 8], [85575 : -683684 : 9261]	4.16549516801896, 9.42535264344111	-	4661
4662	[0, 0, 0, 0, 4662] 0 1043243712	{O} -	1	[-614031291828 : -3343518046007 : 57155606208]	19.8344198912745	-	4662
4663	[0, 0, 0, 0, 4663] 0 3131073936	{O} -	1	[21 : 118 : 1]	3.56208159807854	[21, 118]	4663
4664	[0, 0, 0, 0, 4664] 0 587328192	{O} -	1	[21 : 118 : 1]	3.56208159807854	[21, 118]	4664
4665	[0, 0, 0, 0, 4665] 0 2350320300	{O} -	0	-	-	-	4665
4666	[0, 0, 0, 0, 4666] 0 9405312192	{O} -	1	[322574972079949090530 : 2524285582883347984909 : 5381768492288882504]	33.0201527696434	-	4666
4667	[0, 0, 0, 0, 4667] 0 9409344048	{O} -	2	[34 : 551 : 8], [-49841 : 825050 : 12167]	4.67574986638982, 9.55721630108669	-	4667
4668	[0, 0, 0, 0, 4668] 0 588336048	{O} -	0	-	-	-	4668
4669	[0, 0, 0, 0, 4669] 0 2354352588	{O} -	1	[7986417 : 51741824 : 205379]	12.0874538664647	-	4669
4670	[0, 0, 0, 0, 4670] 0 3140481600	{O} -	1	[-78013 : -126819 : 4913]	8.47634655724870	-	4670
4671	[0, 0, 0, 0, 4671] 0 12929328	{O} -	1	[-15 : 36 : 1]	1.88784356482110	[-15, 36]	4671
4672	[0, 0, 0, 0, 4672] 0 191844	{O} -	2	[8 : 72 : 1], [-16 : 24 : 1]	0.92394317160039, 0.96257318809237	[-16, 24], [8, 72], [12, 80], [24, 136], [137, 1605], [288, 4888], [1424, 53736]	4672
4673	[0, 0, 0, 0, 4673] 0 2358388332	{O} -	0	-	-	-	4673
4674	[0, 0, 0, 0, 4674] 0 9437591232	{O} -	1	[-10727792149860 : -83199137480191 : 1297882533312]	21.9014521510372	-	4674
4675	[0, 0, 0, 0, 4675] 0 377665200	{O} -	0	-	-	-	4675
4676	[0, 0, 0, 0, 4676] 0 147588588	{O} -	1	[-240 : 1702 : 27]	4.58383455604388	-	4676
4677	[0, 0, 0, 0, 4677] 0 2362427532	{O} -	1	[82479345 : -576900856 : 7414875]	13.9108716303389	-	4677
4678	[0, 0, 0, 0, 4678] 0 9453751488	{O} -	0	-	-	-	4678
4679	[0, 0, 0, 0, 4679] 0 3152597904	{O} -	1	[1252 : 7059 : 64]	5.75436658481120	-	4679
4680	[0, 0, 0, 0, 4680] 0 65707200	{O} -	2	[-14 : 44 : 1], [126 : 1416 : 1]	2.65266895230776, 3.49265675716208	[-14, 44], [126, 1416]	4680
4681	[0, 0, 0, 0, 4681] 0 788823396	{O} -	0	-	-	-	4681
4682	[0, 0, 0, 0, 4682] 0 9469925568	{O} -	1	[-96168 : -911267 : 13824]	9.65629950407745	-	4682
4683	[0, 0, 0, 0, 4683] 0 9473971248	{O} -	1	[-284534921 : 2055517162 : 32461759]	14.8409108170079	-	4683
4684	[0, 0, 0, 0, 4684] 0 592376112	{O} -	3	[6 : 70 : 1], [30 : 178 : 1], [-438 : 550 : 27]	2.60958508093990, 3.06494493041595, 4.86679119260977	[6, 70], [30, 178], [10470, 1071322]	4684
4685	[0, 0, 0, 0, 4685] 0 2370516300	{O} -	1	[-1909614 : -101384153 : 1481544]	12.7527430866955	-	4685
4686	[0, 0, 0, 0, 4686] 0 9486113472	{O} -	0	-	-	-	4686
4687	[0, 0, 0, 0, 4687] 0 9490162608	{O} -	2	[311536575 : -2403406552 : 5359375], [22214663856 : -368792978185 : 80621568]	14.5718605822775, 17.7929751131389	-	4687
4688	[0, 0, 0, 0, 4688] 0 772641	{O} -	1	[-4 : 68 : 1]	1.90106053377409	[-4, 68]	4688
4689	[0, 0, 0, 0, 4689] 0 263840652	{O} -	0	-	-	-	4689
4690	[0, 0, 0, 0, 4690] 0 3167438400	{O} -	1	[39 : 253 : 1]	3.93489701701534	[39, 253]	4690
4691	[0, 0, 0, 0, 4691] 0 9506367792	{O} -	1	[17 : 98 : 1]	3.47648406980244	[17, 98]	4691
4692	[0, 0, 0, 0, 4692] 0 148600332	{O} -	2	[13 : 83 : 1], [4769102 : -26863283 : 238328]	3.39765530791502, 11.7956954513626	[13, 83]	4692
4693	[0, 0, 0, 0, 4693] 0 6588972	{O} -	0	-	-	-	4693
4694	[0, 0, 0, 0, 4694] 0 9518530752	{O} -	0	-	-	-	4694
4695	[0, 0, 0, 0, 4695] 0 9522586800	{O} -	2	[-11 : 58 : 1], [646489820733694 : 3695286352794107 : 36482054618296]	3.32562424932667, 24.3104871739156	[-11, 58]	4695
4696	[0, 0, 0, 0, 4696] 0 595415232	{O} -	0	-	-	-	4696
4697	[0, 0, 0, 0, 4697] 0 794225124	{O} -	2	[4 : 69 : 1], [-13 : 50 : 1]	2.27879210143733, 3.33965490561554	[-13, 50], [4, 69], [58, 447]	4697
4698	[0, 0, 0, 0, 4698] 0 13079232	{O} -	3	[-9 : 63 : 1], [7 : 71 : 1], [207 : 2979 : 1]	1.84814673180032, 3.31271523649108, 3.91773033328587	[-9, 63], [7, 71], [207, 2979]	4698
4699	[0, 0, 0, 0, 4699] 0 3179606544	{O} -	3	[-7 : 66 : 1], [3090 : 60731 : 8], [5475 : 77986 : 27]	2.75227884197268, 7.36945971744262, 7.56020710957529	[-7, 66]	4699
4700	[0, 0, 0, 0, 4700] 0 23857200	{O} -	0	-	-	-	4700
4701	[0, 0, 0, 0, 4701] 0 2386735308	{O} -	0	-	-	-	4701
4702	[0, 0, 0, 0, 4702] 0 9551003328	{O} -	1	[12708 : -179125 : 64]	8.11565853959779	-	4702
4703	[0, 0, 0, 0, 4703] 0 9555066288	{O} -	0	-	-	-	4703
4704	[0, 0, 0, 0, 4704] 0 762048	{O} -	0	-	-	-	4704
4705	[0, 0, 0, 0, 4705] 0 2390798700	{O} -	1	[-6 : 67 : 1]	2.83484968723351	[-6, 67]	4705
4706	[0, 0, 0, 0, 4706] 0 3189086784	{O} -	1	[53795 : 1674999 : 24389]	9.46910024680288	-	4706
4707	[0, 0, 0, 0, 4707] 0 1063480752	{O} -	0	-	-	-	4707
4708	[0, 0, 0, 0, 4708] 0 49871844	{O} -	0	-	-	-	4708
4709	[0, 0, 0, 0, 4709] 0 2394865548	{O} -	0	-	-	-	4709
4710	[0, 0, 0, 0, 4710] 0 9583531200	{O} -	1	[-82224070 : -23218517 : 4913000]	13.6398476195976	-	4710
4711	[0, 0, 0, 0, 4711] 0 9587601072	{O} -	1	[905534325 : -11553129244 : 165469149]	15.9166234765269	-	4711
4712	[0, 0, 0, 0, 4712] 0 599479488	{O} -	0	-	-	-	4712
4713	[0, 0, 0, 0, 4713] 0 2398935852	{O} -	1	[16093 : 471524 : 6859]	9.17357319176893	-	4713
4714	[0, 0, 0, 0, 4714] 0 9599815872	{O} -	0	-	-	-	4714
4715	[0, 0, 0, 0, 4715] 0 3201296400	{O} -	1	[-582360037 : -1871925582 : 41781923]	14.4969356569971	-	4715
4716	[0, 0, 0, 0, 4716] 0 66721968	{O} -	1	[7110 : 54766 : 729]	7.04801391347528	-	4716
4717	[0, 0, 0, 0, 4717] 0 801003204	{O} -	0	-	-	-	4717
4718	[0, 0, 0, 0, 4718] 0 9616114368	{O} -	1	[40779 : -309077 : 729]	8.60595756831018	-	4718
4719	[0, 0, 0, 0, 4719] 0 79505712	{O} -	0	-	-	-	4719
4720	[0, 0, 0, 0, 4720] 0 37594800	{O} -	1	[1443 : 10711 : 27]	6.37213708402600	-	4720
4721	[0, 0, 0, 0, 4721] 0 2407086828	{O} -	3	[-10 : 61 : 1], [-16 : 25 : 1], [290 : 4939 : 1]	2.85866631439907, 2.90122919073099, 5.24338461210205	[-16, 25], [-10, 61], [62, 493], [290, 4939]	4721
4722	[0, 0, 0, 0, 4722] 0 9632426688	{O} -	0	-	-	-	4722
4723	[0, 0, 0, 0, 4723] 0 9636506928	{O} -	0	-	-	-	4723
4724	[0, 0, 0, 0, 4724] 0 50211396	{O} -	0	-	-	-	4724
4725	[0, 0, 0, 0, 4725] 0 132300	{O} -	1	[15 : 90 : 1]	0.89947905026828	[15, 90]	4725
4726	[0, 0, 0, 0, 4726] 0 3216250944	{O} -	1	[-945 : 8191 : 125]	6.52532776534840	-	4726
4727	[0, 0, 0, 0, 4727] 0 9652836528	{O} -	1	[161543739 : -1758217814 : 1367631]	14.2784861481836	-	4727
4728	[0, 0, 0, 0, 4728] 0 603557568	{O} -	1	[22 : 124 : 1]	2.89342902982694	[22, 124]	4728
4729	[0, 0, 0, 0, 4729] 0 2415251628	{O} -	0	-	-	-	4729
4730	[0, 0, 0, 0, 4730] 0 9665092800	{O} -	0	-	-	-	4730
4731	[0, 0, 0, 0, 4731] 0 9669179952	{O} -	0	-	-	-	4731
4732	[0, 0, 0, 0, 4732] 0 3577392	{O} -	0	-	-	-	4732
4733	[0, 0, 0, 0, 4733] 0 806446404	{O} -	2	[23 : 130 : 1], [-9110 : 63063 : 1000]	3.60877802885523, 7.37183726432732	[23, 130]	4733
4734	[0, 0, 0, 0, 4734] 0 1075716288	{O} -	2	[3 : 69 : 1], [1531 : 59905 : 1]	2.55590738732108, 7.34042169585203	[3, 69], [1531, 59905]	4734
4735	[0, 0, 0, 0, 4735] 0 3228512400	{O} -	1	[44304 : 317287 : 4096]	8.90864695424909	-	4735
4736	[0, 0, 0, 0, 4736] 0 2365632	{O} -	1	[84 : 1864 : 27]	4.09980835941542	-	4736
4737	[0, 0, 0, 0, 4737] 0 2423430252	{O} -	2	[-8 : 65 : 1], [31988 : 181613 : 1331]	2.84756795758509, 7.96530243957540	[-8, 65]	4737
4738	[0, 0, 0, 0, 4738] 0 9697814208	{O} -	1	[52070263918617085908906972126 : 358241153465220257887716333427 : 4528429727053109130797857208]	45.8278856133323	-	4738
4739	[0, 0, 0, 0, 4739] 0 9701908272	{O} -	0	-	-	-	4739
4740	[0, 0, 0, 0, 4740] 0 151656300	{O} -	1	[16 : 94 : 1]	2.53385676948807	[16, 94]	4740
4741	[0, 0, 0, 0, 4741] 0 2427524748	{O} -	1	[1611855 : -10060646 : 117649]	11.1967592995528	-	4741
4742	[0, 0, 0, 0, 4742] 0 3238065216	{O} -	1	[1209289 : 7226235 : 79507]	10.4153418185128	-	4742
4743	[0, 0, 0, 0, 4743] 0 1079810352	{O} -	1	[98 : 649 : 8]	4.77355823115423	-	4743
4744	[0, 0, 0, 0, 4744] 0 202549824	{O} -	1	[-15 : 37 : 1]	3.35725036116722	[-15, 37]	4744
4745	[0, 0, 0, 0, 4745] 0 2431622700	{O} -	2	[237 : 1988 : 27], [-1220 : 7721 : 125]	5.53282079735103, 6.07759544403526	-	4745
4746	[0, 0, 0, 0, 4746] 0 9730590912	{O} -	1	[-35944315 : 803359087 : 11697083]	14.1383222698048	-	4746
4747	[0, 0, 0, 0, 4747] 0 9734691888	{O} -	1	[9 : 74 : 1]	3.33853263675173	[9, 74]	4747
4748	[0, 0, 0, 0, 4748] 0 608674608	{O} -	0	-	-	-	4748
4749	[0, 0, 0, 0, 4749] 0 2435724108	{O} -	3	[-5 : 68 : 1], [194 : 1103 : 8], [290 : 1831 : 8]	3.29547640625976, 5.02305398003543, 5.27085348526873	[-5, 68]	4749
4750	[0, 0, 0, 0, 4750] 0 15595200	{O} -	0	-	-	-	4750
4751	[0, 0, 0, 0, 4751] 0 3250368144	{O} -	1	[-953783 : -3158888 : 68921]	10.7762916148608	-	4751
4752	[0, 0, 0, 0, 4752] 0 3267	{O} -	0	-	-	-	4752
4753	[0, 0, 0, 0, 4753] 0 16597476	{O} -	2	[2 : 69 : 1], [-12 : 55 : 1]	2.27518580398274, 2.87411895879337	[-12, 55], [2, 69], [11, 78]	4753
4754	[0, 0, 0, 0, 4754] 0 9763422912	{O} -	1	[1101 : 7273 : 27]	6.16561721018411	-	4754
4755	[0, 0, 0, 0, 4755] 0 9767530800	{O} -	1	[-52440297 : -393775154 : 6128487]	13.7330781846512	-	4755
4756	[0, 0, 0, 0, 4756] 0 152681868	{O} -	0	-	-	-	4756
4757	[0, 0, 0, 0, 4757] 0 2443937292	{O} -	1	[8762943901066899751686509051203 : 50583371970125839223584845920860 : 329491592786099717880576562529]	48.9995224297831	-	4757
4758	[0, 0, 0, 0, 4758] 0 9779859648	{O} -	2	[-1052 : 1139 : 64], [117683 : -177367451 : 2571353]	6.14151610115634, 13.1245886757872	-	4758
4759	[0, 0, 0, 0, 4759] 0 9783970992	{O} -	0	-	-	-	4759
4760	[0, 0, 0, 0, 4760] 0 203918400	{O} -	1	[1 : 69 : 1]	2.73602046670092	[1, 69]	4760
4761	[0, 0, 0, 0, 4761] 0 514188	Z/3Z [0, 69]	0	-	-	[0, 69]	4761
4762	[0, 0, 0, 0, 4762] 0 3265436736	{O} -	1	[-1 : 69 : 1]	2.73612539156249	[-1, 69]	4762
4763	[0, 0, 0, 0, 4763] 0 9800425008	{O} -	1	[548 : 4699 : 64]	6.10666192940035	-	4763
4764	[0, 0, 0, 0, 4764] 0 612783792	{O} -	1	[5074508787810 : 74094863182586 : 23813300133]	20.6462254953010	-	4764
4765	[0, 0, 0, 0, 4765] 0 2452164300	{O} -	0	-	-	-	4765
4766	[0, 0, 0, 0, 4766] 0 9812774592	{O} -	2	[3030 : 18739 : 216], [-80189 : -100429 : 4913]	7.00406889591025, 9.03496683080733	-	4766
4767	[0, 0, 0, 0, 4767] 0 9816892848	{O} -	0	-	-	-	4767
4768	[0, 0, 0, 0, 4768] 0 38363328	{O} -	0	-	-	-	4768
4769	[0, 0, 0, 0, 4769] 0 818760996	{O} -	2	[-2 : 69 : 1], [-14 : 45 : 1]	2.27602292128358, 2.34004871574783	[-14, 45], [-2, 69], [20, 113]	4769
4770	[0, 0, 0, 0, 4770] 0 1092139200	{O} -	1	[-141092 : -1473319 : 21952]	9.96787838407571	-	4770
4771	[0, 0, 0, 0, 4771] 0 3277791504	{O} -	1	[-29632008378 : 107022526885 : 2207155608]	17.6907364828475	-	4771
4772	[0, 0, 0, 0, 4772] 0 153710892	{O} -	2	[-16 : 26 : 1], [-22352 : 7982 : 1331]	2.44227966015941, 7.24408426896023	[-16, 26]	4772
4773	[0, 0, 0, 0, 4773] 0 2460405132	{O} -	0	-	-	-	4773
4774	[0, 0, 0, 0, 4774] 0 9845744832	{O} -	1	[15766872 : -89267375 : 681472]	12.5678685603781	-	4774
4775	[0, 0, 0, 0, 4775] 0 393994800	{O} -	1	[5 : 70 : 1]	2.22848577592088	[5, 70]	4775
4776	[0, 0, 0, 0, 4776] 0 615874752	{O} -	2	[10 : 76 : 1], [-1289957 : -1787045 : 79507]	2.66067064667679, 10.8908161122335	[10, 76], [153457, 60114613]	4776
4777	[0, 0, 0, 0, 4777] 0 2464530732	{O} -	1	[18 : 103 : 1]	3.03935035121963	[18, 103]	4777
4778	[0, 0, 0, 0, 4778] 0 3287416896	{O} -	1	[2542759275 : 14617184401 : 144703125]	16.0192279082577	-	4778
4779	[0, 0, 0, 0, 4779] 0 13534128	{O} -	0	-	-	-	4779
4780	[0, 0, 0, 0, 4780] 0 205635600	{O} -	1	[-78 : 1862 : 27]	4.79434752829106	-	4780
4781	[0, 0, 0, 0, 4781] 0 2468659788	{O} -	0	-	-	-	4781
4782	[0, 0, 0, 0, 4782] 0 9878770368	{O} -	1	[196 : 4439 : 64]	6.06446396326943	-	4782
4783	[0, 0, 0, 0, 4783] 0 9882902448	{O} -	1	[22473 : 134576 : 729]	8.17224209082961	-	4783
4784	[0, 0, 0, 0, 4784] 0 38621232	{O} -	0	-	-	-	4784
4785	[0, 0, 0, 0, 4785] 0 2472792300	{O} -	1	[1545712 : 9229621 : 50653]	10.5311716938154	-	4785
4786	[0, 0, 0, 0, 4786] 0 9895303872	{O} -	0	-	-	-	4786
4787	[0, 0, 0, 0, 4787] 0 3299813136	{O} -	1	[53 : 392 : 1]	4.16921346762642	[53, 392]	4787
4788	[0, 0, 0, 0, 4788] 0 17193708	{O} -	1	[-3 : 69 : 1]	2.55871984365759	[-3, 69]	4788
4789	[0, 0, 0, 0, 4789] 0 825642756	{O} -	0	-	-	-	4789
4790	[0, 0, 0, 0, 4790] 0 9911851200	{O} -	1	[-376035518357 : 1685933966627 : 30870492353]	19.4418837893972	-	4790
4791	[0, 0, 0, 0, 4791] 0 9915990192	{O} -	1	[25242718 : 2579090483 : 37259704]	14.9094653059571	-	4791
4792	[0, 0, 0, 0, 4792] 0 620008128	{O} -	1	[719838 : -11660515 : 2744]	10.8872835302088	-	4792
4793	[0, 0, 0, 0, 4793] 0 2481067692	{O} -	1	[68 : 565 : 1]	3.91159380656532	[68, 565]	4793
4794	[0, 0, 0, 0, 4794] 0 9928412352	{O} -	0	-	-	-	4794
4795	[0, 0, 0, 0, 4795] 0 9932554800	{O} -	0	-	-	-	4795
4796	[0, 0, 0, 0, 4796] 0 207014544	{O} -	1	[34 : 210 : 1]	2.59949777843755	[34, 210]	4796
4797	[0, 0, 0, 0, 4797] 0 276134508	{O} -	0	-	-	-	4797
4798	[0, 0, 0, 0, 4798] 0 3314995776	{O} -	1	[-13 : 51 : 1]	2.79678368975083	[-13, 51]	4798
4799	[0, 0, 0, 0, 4799] 0 9949133232	{O} -	1	[-4088 : 33535 : 512]	7.47259786639668	-	4799
4800	[0, 0, 0, 0, 4800] 0 97200	{O} -	0	-	-	-	4800
4801	[0, 0, 0, 0, 4801] 0 2489356908	{O} -	0	-	-	-	4801
4802	[0, 0, 0, 0, 4802] 0 84672	{O} -	0	-	-	-	4802
4803	[0, 0, 0, 0, 4803] 0 9965725488	{O} -	2	[-668 : 3875 : 64], [3450785 : -22624438 : 274625]	6.10154007406598, 11.7447696446534	-	4803
4804	[0, 0, 0, 0, 4804] 0 155779308	{O} -	1	[420 : 8698 : 125]	5.58925349695381	-	4804
4805	[0, 0, 0, 0, 4805] 0 864900	{O} -	2	[31 : 186 : 1], [19 : 108 : 1]	0.94326692303659, 2.97471989308877	[31, 186], [19, 108]	4805
4806	[0, 0, 0, 0, 4806] 0 13687488	{O} -	0	-	-	-	4806
4807	[0, 0, 0, 0, 4807] 0 3327443856	{O} -	1	[754 : 7341 : 8]	5.49374124594110	-	4807
4808	[0, 0, 0, 0, 4808] 0 624155328	{O} -	1	[-796 : 3437 : 64]	6.11535441280113	-	4808
4809	[0, 0, 0, 0, 4809] 0 2497659948	{O} -	0	-	-	-	4809
4810	[0, 0, 0, 0, 4810] 0 9994795200	{O} -	1	[24090 : 137077 : 1000]	8.24044054575678	-	4810
4811	[0, 0, 0, 0, 4811] 0 9998951472	{O} -	0	-	-	-	4811
4812	[0, 0, 0, 0, 4812] 0 625194288	{O} -	2	[-11 : 59 : 1], [94 : 914 : 1]	3.33322630962066, 3.96128678213910	[-11, 59], [94, 914]	4812
4813	[0, 0, 0, 0, 4813] 0 2501816652	{O} -	1	[-78930832136520 : 4268193809648201 : 61536307392000]	24.4564066764101	-	4813
4814	[0, 0, 0, 0, 4814] 0 3337141824	{O} -	1	[7855 : 62869 : 125]	7.52683724568125	-	4814
4815	[0, 0, 0, 0, 4815] 0 1112842800	{O} -	0	-	-	-	4815
4816	[0, 0, 0, 0, 4816] 0 815409	{O} -	1	[44 : 300 : 1]	2.09016345376908	[44, 300]	4816
4817	[0, 0, 0, 0, 4817] 0 2505976812	{O} -	2	[8 : 73 : 1], [5680 : 39259 : 125]	2.86880990012505, 6.80683433757609	[8, 73]	4817
4818	[0, 0, 0, 0, 4818] 0 10028069568	{O} -	1	[194 : 1105 : 8]	5.02531572771154	-	4818
4819	[0, 0, 0, 0, 4819] 0 10032232752	{O} -	1	[-15 : 38 : 1]	3.36189737898386	[-15, 38]	4819
4820	[0, 0, 0, 0, 4820] 0 156818700	{O} -	1	[-2152702455369549083 : 772770177313885339 : 127762859380934393]	29.6351253219958	-	4820
4821	[0, 0, 0, 0, 4821] 0 2510140428	{O} -	1	[944025 : -129208112 : 1860867]	12.9135199617131	-	4821
4822	[0, 0, 0, 0, 4822] 0 10044727488	{O} -	2	[4083 : 260897 : 1], [-210568152168 : -1846981454773 : 27873248768]	8.31713209201792, 19.3468016814983	[4083, 260897]	4822
4823	[0, 0, 0, 0, 4823] 0 3349631376	{O} -	1	[-393 : 1126 : 27]	5.55609746340599	-	4823
4824	[0, 0, 0, 0, 4824] 0 69812928	{O} -	1	[25 : 143 : 1]	3.65552503670081	[25, 143]	4824
4825	[0, 0, 0, 0, 4825] 0 33524100	{O} -	3	[-4 : 69 : 1], [-16 : 27 : 1], [-9 : 64 : 1]	2.28541633632372, 2.35831022348272, 3.32136866945529	[-16, 27], [-9, 64], [-4, 69], [6, 71], [14, 87], [84, 773], [194, 2703]	4825
4826	[0, 0, 0, 0, 4826] 0 10061399232	{O} -	1	[-437740356 : -17862540425 : 257259456]	16.2012271108485	-	4826
4827	[0, 0, 0, 0, 4827] 0 10065569328	{O} -	1	[-16310 : 22097 : 1000]	7.97733771867218	-	4827
4828	[0, 0, 0, 0, 4828] 0 629358768	{O} -	1	[289806 : 4277338 : 1331]	9.53372370297435	-	4828
4829	[0, 0, 0, 0, 4829] 0 2518478028	{O} -	1	[248011338921037681477 : 1742636555384239929400 : 5254076064335218847]	32.8163249830323	-	4829
4830	[0, 0, 0, 0, 4830] 0 10078084800	{O} -	0	-	-	-	4830
4831	[0, 0, 0, 0, 4831] 0 10082258352	{O} -	2	[-30 : 553 : 8], [692712135 : -11624533676 : 2460375]	4.68266902472018, 15.4878055284128	-	4831
4832	[0, 0, 0, 0, 4832] 0 13133376	{O} -	1	[-7 : 67 : 1]	3.31054627177808	[-7, 67]	4832
4833	[0, 0, 0, 0, 4833] 0 1153476	{O} -	1	[12 : 81 : 1]	1.27800858869137	[12, 81]	4833
4834	[0, 0, 0, 0, 4834] 0 3364928064	{O} -	1	[13344450 : 138151963 : 125000]	12.5924712785390	-	4834
4835	[0, 0, 0, 0, 4835] 0 10098961200	{O} -	1	[30562659241846 : -834931872256771 : 11986977242456]	23.3703162076458	-	4835
4836	[0, 0, 0, 0, 4836] 0 157861548	{O} -	2	[4 : 70 : 1], [-50320 : 301322 : 4913]	2.37552161179788, 8.07205101185728	[4, 70]	4836
4837	[0, 0, 0, 0, 4837] 0 2526829452	{O} -	2	[993 : 6308 : 27], [-22604718 : 53112023 : 1481544]	6.09368863224740, 12.8373040759766	-	4837
4838	[0, 0, 0, 0, 4838] 0 10111497408	{O} -	2	[-62 : 529 : 8], [107 : 1109 : 1]	4.70127485425954, 4.77051356193799	[107, 1109]	4838
4839	[0, 0, 0, 0, 4839] 0 10115677872	{O} -	0	-	-	-	4839
4840	[0, 0, 0, 0, 4840] 0 5227200	{O} -	1	[-6 : 68 : 1]	2.61296139629802	[-6, 68]	4840
4841	[0, 0, 0, 0, 4841] 0 843670116	{O} -	2	[7 : 72 : 1], [119 : 1300 : 1]	2.77272379145240, 4.86689896051190	[7, 72], [119, 1300]	4841
4842	[0, 0, 0, 0, 4842] 0 1125358272	{O} -	0	-	-	-	4842
4843	[0, 0, 0, 0, 4843] 0 3377469456	{O} -	1	[1482128 : 28194915 : 4096]	10.9158642167917	-	4843
4844	[0, 0, 0, 0, 4844] 0 633537072	{O} -	3	[-10 : 62 : 1], [-110 : 379 : 8], [66 : 1882 : 27]	2.63564356486297, 4.74061752252971, 4.79813194254758	[-10, 62]	4844
4845	[0, 0, 0, 0, 4845] 0 2535194700	{O} -	0	-	-	-	4845
4846	[0, 0, 0, 0, 4846] 0 10144965312	{O} -	1	[2757745113480 : 22067125478803 : 43912253952]	20.6448017532509	-	4846
4847	[0, 0, 0, 0, 4847] 0 10149152688	{O} -	0	-	-	-	4847
4848	[0, 0, 0, 0, 4848] 0 39661488	{O} -	0	-	-	-	4848
4849	[0, 0, 0, 0, 4849] 0 2539382508	{O} -	1	[-348 : 1405 : 27]	5.08363369750389	-	4849
4850	[0, 0, 0, 0, 4850] 0 135489600	{O} -	0	-	-	-	4850
4851	[0, 0, 0, 0, 4851] 0 23051952	{O} -	1	[49 : 350 : 1]	2.81120743005565	[49, 350]	4851
4852	[0, 0, 0, 0, 4852] 0 52969284	{O} -	2	[29 : 171 : 1], [2343 : 21907 : 27]	3.19240889774753, 6.78141895361987	[29, 171]	4852
4853	[0, 0, 0, 0, 4853] 0 2543573772	{O} -	2	[-14 : 557 : 8], [6041 : 34838 : 343]	4.67906104664772, 7.38836367836604	-	4853
4854	[0, 0, 0, 0, 4854] 0 10178488512	{O} -	1	[1857 : 15515 : 27]	6.58116848627313	-	4854
4855	[0, 0, 0, 0, 4855] 0 10182682800	{O} -	1	[33829177421205191146358865300494350995417 : -524776504009367444399129264351799090629548 : 140629681812824921858398422967219248657]	64.0857471780278	-	4855
4856	[0, 0, 0, 0, 4856] 0 636679872	{O} -	0	-	-	-	4856
4857	[0, 0, 0, 0, 4857] 0 2547768492	{O} -	1	[-94 : 455 : 8]	4.72742514127819	-	4857
4858	[0, 0, 0, 0, 4858] 0 10195270848	{O} -	0	-	-	-	4858
4859	[0, 0, 0, 0, 4859] 0 3399822864	{O} -	1	[13 : 84 : 1]	2.85729959410338	[13, 84]	4859
4860	[0, 0, 0, 0, 4860] 0 97200	{O} -	1	[-14 : 46 : 1]	2.66396683240569	[-14, 46]	4860
4861	[0, 0, 0, 0, 4861] 0 850655556	{O} -	0	-	-	-	4861
4862	[0, 0, 0, 0, 4862] 0 10212067008	{O} -	1	[1081726282063 : -18600001700957 : 3659383421]	20.4046632651110	-	4862
4863	[0, 0, 0, 0, 4863] 0 10216268208	{O} -	1	[-5564284803 : 4583194876 : 332812557]	16.4594817067045	-	4863
4864	[0, 0, 0, 0, 4864] 0 155952	{O} -	1	[-12 : 56 : 1]	1.95698235940070	[-12, 56]	4864
4865	[0, 0, 0, 0, 4865] 0 2556168300	{O} -	1	[-82433 : -58444 : 4913]	9.04441824843102	-	4865
4866	[0, 0, 0, 0, 4866] 0 10228876992	{O} -	0	-	-	-	4866
4867	[0, 0, 0, 0, 4867] 0 10233081648	{O} -	2	[33 : 202 : 1], [70394196726 : 494984403455 : 1489355288]	3.82379964246887, 18.1619770441259	[33, 202]	4867
4868	[0, 0, 0, 0, 4868] 0 53319204	{O} -	2	[-8 : 66 : 1], [32 : 194 : 1]	1.84484444598918, 2.87958847354726	[-8, 66], [32, 194]	4868
4869	[0, 0, 0, 0, 4869] 0 284485932	{O} -	1	[105 : 23934 : 343]	6.45177549206877	-	4869
4870	[0, 0, 0, 0, 4870] 0 3415233600	{O} -	1	[419 : 8577 : 1]	5.51345342845471	[419, 8577]	4870
4871	[0, 0, 0, 0, 4871] 0 10249908912	{O} -	1	[-318653875811443486946 : -621352960462370080385 : 20201119671481915256]	33.0056582879485	-	4871
4872	[0, 0, 0, 0, 4872] 0 640882368	{O} -	1	[-970 : 8296 : 125]	5.84299866024623	-	4872
4873	[0, 0, 0, 0, 4873] 0 2564581932	{O} -	2	[3 : 70 : 1], [36 : 227 : 1]	3.29785503637455, 3.42034747535725	[3, 70], [36, 227], [42, 281]	4873
4874	[0, 0, 0, 0, 4874] 0 10262538432	{O} -	0	-	-	-	4874
4875	[0, 0, 0, 0, 4875] 0 16426800	{O} -	0	-	-	-	4875
4876	[0, 0, 0, 0, 4876] 0 641935152	{O} -	0	-	-	-	4876
4877	[0, 0, 0, 0, 4877] 0 856264644	{O} -	0	-	-	-	4877
4878	[0, 0, 0, 0, 4878] 0 1142154432	{O} -	1	[97257981816362918797 : 1204137240621697135999 : 16914249626606983351]	32.8300969778571	-	4878
4879	[0, 0, 0, 0, 4879] 0 3427868304	{O} -	1	[2724 : 18325 : 64]	6.77473437306946	-	4879
4880	[0, 0, 0, 0, 4880] 0 2511675	{O} -	1	[-16 : 28 : 1]	1.98674560799459	[-16, 28]	4880
4881	[0, 0, 0, 0, 4881] 0 2573009388	{O} -	0	-	-	-	4881
4882	[0, 0, 0, 0, 4882] 0 10296255168	{O} -	1	[-1448754 : -16264685 : 238328]	11.5635476511810	-	4882
4883	[0, 0, 0, 0, 4883] 0 10300473648	{O} -	0	-	-	-	4883
4884	[0, 0, 0, 0, 4884] 0 161010828	{O} -	1	[5085 : 52687 : 729]	7.71899345769116	-	4884
4885	[0, 0, 0, 0, 4885] 0 2577228300	{O} -	1	[52107000577274207565 : 295879381988039835098 : 2622562616372867875]	31.8197363870367	-	4885
4886	[0, 0, 0, 0, 4886] 0 3437711424	{O} -	3	[-5 : 69 : 1], [155 : 1931 : 1], [505142 : -3557975 : 10648]	2.75545312135221, 5.11091736173335, 10.2661310103886	[-5, 69], [155, 1931]	4886
4887	[0, 0, 0, 0, 4887] 0 4717584	{O} -	0	-	-	-	4887
4888	[0, 0, 0, 0, 4888] 0 215032896	{O} -	1	[17 : 99 : 1]	2.93603681908045	[17, 99]	4888
4889	[0, 0, 0, 0, 4889] 0 2581450668	{O} -	0	-	-	-	4889
4890	[0, 0, 0, 0, 4890] 0 10330027200	{O} -	1	[87431049819759535300405946839300 : 3477159366332129826850185493461973 : 55277503974289432573633000000]	51.4942822180818	-	4890
4891	[0, 0, 0, 0, 4891] 0 10334252592	{O} -	1	[4605 : 312496 : 1]	8.43716499299727	[4605, 312496]	4891
4892	[0, 0, 0, 0, 4892] 0 646154928	{O} -	2	[2 : 70 : 1], [6089329 : -40312055 : 148877]	2.60300594821170, 11.9137781080590	[2, 70]	4892
4893	[0, 0, 0, 0, 4893] 0 2585676492	{O} -	1	[-7249971 : -39281500 : 658503]	12.2702664122730	-	4893
4894	[0, 0, 0, 0, 4894] 0 10346933952	{O} -	0	-	-	-	4894
4895	[0, 0, 0, 0, 4895] 0 3450387600	{O} -	1	[4445 : 27912 : 125]	6.54406198355069	-	4895
4896	[0, 0, 0, 0, 4896] 0 4494528	{O} -	2	[9 : 75 : 1], [-15 : 39 : 1]	2.61525047601325, 2.63418937617555	[-15, 39], [9, 75], [39385, 7816211]	4896
4897	[0, 0, 0, 0, 4897] 0 863301924	{O} -	0	-	-	-	4897
4898	[0, 0, 0, 0, 4898] 0 10363854528	{O} -	1	[-9958378415 : -1431779926159 : 20458415375]	19.1221899812919	-	4898
4899	[0, 0, 0, 0, 4899] 0 10368086832	{O} -	1	[1 : 70 : 1]	3.29491026665769	[1, 70]	4899
4900	[0, 0, 0, 0, 4900] 0 132300	Z/3Z [0, 70]	1	[21 : 119 : 1]	2.27373289044736	[0, 70], [21, 119], [60, 470]	4900
4901	[0, 0, 0, 0, 4901] 0 15349932	{O} -	3	[-13 : 52 : 1], [-1 : 70 : 1], [767 : 21242 : 1]	1.64255412298433, 3.29501221683496, 4.94614235315715	[-13, 52], [-1, 70], [767, 21242]	4901
4902	[0, 0, 0, 0, 4902] 0 10380788928	{O} -	0	-	-	-	4902
4903	[0, 0, 0, 0, 4903] 0 10385024688	{O} -	2	[57 : 436 : 1], [166476 : -1638487 : 1728]	4.22916488955794, 9.64679609599774	[57, 436]	4903
4904	[0, 0, 0, 0, 4904] 0 216442944	{O} -	1	[3850 : 27264 : 343]	6.02884892452265	-	4904
4905	[0, 0, 0, 0, 4905] 0 288708300	{O} -	0	-	-	-	4905
4906	[0, 0, 0, 0, 4906] 0 3465912384	{O} -	1	[15 : 91 : 1]	3.44611042878593	[15, 91]	4906
4907	[0, 0, 0, 0, 4907] 0 10401976368	{O} -	1	[21463095 : -1161781678 : 16581375]	14.3783600810621	-	4907
4908	[0, 0, 0, 0, 4908] 0 650388528	{O} -	1	[-2 : 70 : 1]	2.60381937486270	[-2, 70]	4908
4909	[0, 0, 0, 0, 4909] 0 2602614348	{O} -	0	-	-	-	4909
4910	[0, 0, 0, 0, 4910] 0 10414699200	{O} -	4	[11 : 79 : 1], [82 : 619 : 8], [131 : 1501 : 1], [417 : 2503 : 27]	3.37635845475925, 4.75156632423687, 4.95525891930843, 5.65219837646396	[11, 79], [131, 1501], [43451, 9057319]	4910
4911	[0, 0, 0, 0, 4911] 0 10418941872	{O} -	0	-	-	-	4911
4912	[0, 0, 0, 0, 4912] 0 40715568	{O} -	0	-	-	-	4912
4913	[0, 0, 0, 0, 4913] 0 10404	Z/2Z [-17, 0]	0	-	-	[-17, 0]	4913
4914	[0, 0, 0, 0, 4914] 0 14309568	{O} -	1	[-17 : 1 : 1]	3.38257862332545	[-17, 1]	4914
4915	[0, 0, 0, 0, 4915] 0 3478640400	{O} -	1	[363 : 2314 : 27]	5.61468071361683	-	4915
4916	[0, 0, 0, 0, 4916] 0 163127628	{O} -	2	[5 : 71 : 1], [17552 : 289477 : 4096]	3.31082698856995, 8.85174540916475	[5, 71], [39269, 7781705]	4916
4917	[0, 0, 0, 0, 4917] 0 2611104012	{O} -	2	[-17 : 2 : 1], [6264058 : -38038543 : 195112]	3.38275596020012, 11.9279674944369	[-17, 2]	4917
4918	[0, 0, 0, 0, 4918] 0 10448664768	{O} -	1	[1828058085 : -12458565079 : 153130375]	15.9561952138792	-	4918
4919	[0, 0, 0, 0, 4919] 0 10452914352	{O} -	0	-	-	-	4919
4920	[0, 0, 0, 0, 4920] 0 653572800	{O} -	0	-	-	-	4920
4921	[0, 0, 0, 0, 4921] 0 2615354028	{O} -	1	[-366 : 1331 : 27]	5.09280305350490	-	4921
4922	[0, 0, 0, 0, 4922] 0 3488556096	{O} -	1	[-17 : 3 : 1]	2.83374515115299	[-17, 3]	4922
4923	[0, 0, 0, 0, 4923] 0 1163324592	{O} -	2	[-126 : 255 : 8], [258 : 1569 : 8]	4.02764390739586, 4.46402458785159	-	4923
4924	[0, 0, 0, 0, 4924] 0 218211984	{O} -	1	[26 : 150 : 1]	2.43771754990224	[26, 150]	4924
4925	[0, 0, 0, 0, 4925] 0 104784300	{O} -	1	[844031272518 : -7516513208413 : 101325045528]	20.2357590836375	-	4925
4926	[0, 0, 0, 0, 4926] 0 10482685632	{O} -	1	[54571565 : -512334979 : 6967871]	13.8404201764780	-	4926
4927	[0, 0, 0, 0, 4927] 0 10486942128	{O} -	1	[-3 : 70 : 1]	3.30058813605670	[-3, 70]	4927
4928	[0, 0, 0, 0, 4928] 0 640332	{O} -	1	[-1220 : 7904 : 125]	5.16524084733908	-	4928
4929	[0, 0, 0, 0, 4929] 0 2623864428	{O} -	3	[10 : 77 : 1], [-17 : 4 : 1], [578 :4945 : 8]	2.90075348929350, 3.38346429085666, 5.81275956148378	[-17, 4], [10, 77], [16, 95]	4929
4930	[0, 0, 0, 0, 4930] 0 10499716800	{O} -	0	-	-	-	4930
4931	[0, 0, 0, 0, 4931] 0 3501325584	{O} -	1	[-11 : 60 : 1]	2.79147181777411	[-11, 60]	4931
4932	[0, 0, 0, 0, 4932] 0 18243468	{O} -	0	-	-	-	4932
4933	[0, 0, 0, 0, 4933] 0 876041604	{O} -	2	[66 : 593 : 8], [-5019 : 14552 : 343]	4.72722849677922, 7.25797228003843	-	4933
4934	[0, 0, 0, 0, 4934] 0 10516761792	{O} -	1	[-5451500053398608716060785 : 34412295879474133947932269 : 547688712341738714504373]	39.7742448583799	-	4934
4935	[0, 0, 0, 0, 4935] 0 10521025200	{O} -	1	[9526999 : -355061986 : 6859]	13.1327401701219	-	4935
4936	[0, 0, 0, 0, 4936] 0 657830592	{O} -	1	[210 : 3044 : 1]	4.70389249966734	[210, 3044]	4936
4937	[0, 0, 0, 0, 4937] 0 2632388652	{O} -	1	[-16 : 29 : 1]	2.91435111836382	[-16, 29]	4937
4938	[0, 0, 0, 0, 4938] 0 10533820608	{O} -	2	[-17 : 5 : 1], [5795 : 40423 : 125]	3.38399447449307, 7.28614607157384	[-17, 5]	4938
4939	[0, 0, 0, 0, 4939] 0 10538087472	{O} -	2	[-126 : 257 : 8], [-7281859145925 : -24806887734218 : 523411749379]	4.76100743997012, 21.3504086213507	-	4939
4940	[0, 0, 0, 0, 4940] 0 219632400	{O} -	1	[1670 : 10698 : 125]	5.39364831410611	-	4940
4941	[0, 0, 0, 0, 4941] 0 3616812	{O} -	0	-	-	-	4941
4942	[0, 0, 0, 0, 4942] 0 3516964416	{O} -	1	[-24570381 : 2972285 : 1442897]	12.8392201726294	-	4942
4943	[0, 0, 0, 0, 4943] 0 10555163568	{O} -	1	[-99734744377499 : -1003616841310462 : 14743973172761]	23.5312116720873	-	4943
4944	[0, 0, 0, 0, 4944] 0 2577987	{O} -	1	[28 : 164 : 1]	2.33694937901546	[28, 164]	4944
4945	[0, 0, 0, 0, 4945] 0 2640926700	{O} -	2	[24 : 137 : 1], [54 : 403 : 1]	3.17562136927091, 3.72420423327089	[24, 137], [54, 403], [246, 3859]	4945
4946	[0, 0, 0, 0, 4946] 0 10567979712	{O} -	0	-	-	-	4946
4947	[0, 0, 0, 0, 4947] 0 10572253488	{O} -	0	-	-	-	4947
4948	[0, 0, 0, 0, 4948] 0 165258252	{O} -	1	[103323 : 2104375 : 29791]	10.1727087193351	-	4948
4949	[0, 0, 0, 0, 4949] 0 17994564	{O} -	2	[-17 : 6 : 1], [130 : 769 : 8]	2.83533509858733, 4.85909612970875	[-17, 6]	4949
4950	[0, 0, 0, 0, 4950] 0 47044800	{O} -	1	[162 : 921 : 8]	4.21055144055410	-	4950
4951	[0, 0, 0, 0, 4951] 0 3529785744	{O} -	1	[-257475 : 341074 : 15625]	9.81859762218154	-	4951
4952	[0, 0, 0, 0, 4952] 0 662102208	{O} -	1	[-6 : 1900 : 27]	4.80205040528451	-	4952
4953	[0, 0, 0, 0, 4953] 0 2649478572	{O} -	2	[-14 : 47 : 1], [-107996 : -222217 : 6859]	2.90069811858128, 8.80229058243985	[-14, 47]	4953
4954	[0, 0, 0, 0, 4954] 0 10602194112	{O} -	1	[-9 : 65 : 1]	3.32968948999504	[-9, 65]	4954
4955	[0, 0, 0, 0, 4955] 0 10606474800	{O} -	0	-	-	-	4955
4956	[0, 0, 0, 0, 4956] 0 663172272	{O} -	0	-	-	-	4956
4957	[0, 0, 0, 0, 4957] 0 2653759692	{O} -	1	[27591 : 352030 : 4913]	8.98418455501363	-	4957
4958	[0, 0, 0, 0, 4958] 0 3539774016	{O} -	1	[-14 : 563 : 8]	4.68617482664114	-	4958
4959	[0, 0, 0, 0, 4959] 0 1180400688	{O} -	1	[43099 : -483722 : 343]	8.80911499953663	-	4959
4960	[0, 0, 0, 0, 4960] 0 13838400	{O} -	1	[6311662 : -36561429 : 238328]	11.3965253666622	-	4960
4961	[0, 0, 0, 0, 4961] 0 21967308	{O} -	1	[80 : 719 : 1]	4.05215115288996	[80, 719]	4961
4962	[0, 0, 0, 0, 4962] 0 10636463808	{O} -	1	[-17 : 7 : 1]	3.38540386333120	[-17, 7]	4962
4963	[0, 0, 0, 0, 4963] 0 10640751408	{O} -	1	[507 : 2906 : 27]	5.72294239652746	-	4963
4964	[0, 0, 0, 0, 4964] 0 166328748	{O} -	3	[-4 : 70 : 1], [8 : 74 : 1], [-110 : 389 : 8]	2.38195971458032, 2.41584428031588, 4.74797228503183	[-4, 70], [8, 74], [140, 1658], [27320, 4515658], [1588448, 2001978934]	4964
4965	[0, 0, 0, 0, 4965] 0 2662332300	{O} -	1	[-10521 : 32266 : 729]	7.76107675173171	-	4965
4966	[0, 0, 0, 0, 4966] 0 10653619392	{O} -	2	[27 : 157 : 1], [-122979750 : -1045641271 : 15625000]	3.70272919728740, 14.3668982920542	[27, 157]	4966
4967	[0, 0, 0, 0, 4967] 0 3552636816	{O} -	1	[-7 : 68 : 1]	3.31939855537192	[-7, 68]	4967
4968	[0, 0, 0, 0, 4968] 0 914112	{O} -	1	[6 : 72 : 1]	1.16343697835266	[6, 72]	4968
4969	[0, 0, 0, 0, 4969] 0 888874596	{O} -	2	[-10 : 63 : 1], [-303 : 1610 : 27]	2.32534391958070, 5.54183656011155	[-10, 63], [10088, 1013229]	4969
4970	[0, 0, 0, 0, 4970] 0 10670788800	{O} -	1	[1316504523 : 8215460749 : 92959677]	15.6651342888090	-	4970
4971	[0, 0, 0, 0, 4971] 0 10675083312	{O} -	1	[205 : 2936 : 1]	5.37428423946211	[205, 2936]	4971
4972	[0, 0, 0, 0, 4972] 0 667461168	{O} -	1	[-161046 : 626690 : 12167]	8.93637361229089	-	4972
4973	[0, 0, 0, 0, 4973] 0 2670918732	{O} -	1	[670063 : 5290310 : 68921]	10.7887596140881	-	4973
4974	[0, 0, 0, 0, 4974] 0 10687972032	{O} -	0	-	-	-	4974
4975	[0, 0, 0, 0, 4975] 0 427690800	{O} -	3	[-15 : 40 : 1], [45 : 310 : 1], [-213 : 1808 : 27]	2.29838897974044, 2.97237964974052, 5.52187869260584	[-15, 40], [45, 310], [4941, 347314]	4975
4976	[0, 0, 0, 0, 4976] 0 13927824	{O} -	1	[41678 : 252687 : 2744]	8.18191526836259	-	4976
4977	[0, 0, 0, 0, 4977] 0 297246348	{O} -	3	[-6 : 69 : 1], [-12 : 57 : 1], [-17 : 8 : 1]	2.12064528681814, 2.15580034438192, 3.38628147637764	[-17, 8], [-12, 57], [-6, 69], [4, 71], [22, 125], [72, 615], [198, 2787], [459, 9834]	4977
4978	[0, 0, 0, 0, 4978] 0 3568389696	{O} -	1	[63 : 505 : 1]	4.31198661270859	[63, 505]	4978
4979	[0, 0, 0, 0, 4979] 0 10709470512	{O} -	1	[2605 : 14806 : 125]	6.78933904504039	-	4979
4980	[0, 0, 0, 0, 4980] 0 167402700	{O} -	0	-	-	-	4980
4981	[0, 0, 0, 0, 4981] 0 2679518988	{O} -	0	-	-	-	4981
4982	[0, 0, 0, 0, 4982] 0 10722379968	{O} -	2	[34 : 569 : 8], [-337485787672 : 400027571323 : 20301732352]	4.69701624580012, 19.2064017177274	-	4982
4983	[0, 0, 0, 0, 4983] 0 10726684848	{O} -	2	[5046 : 28763 : 216], [-2241 : 1389430 : 19683]	7.20865594076233, 9.89170779228006	-	4983
4984	[0, 0, 0, 0, 4984] 0 670686912	{O} -	2	[18 : 104 : 1], [7770 : 44204 : 343]	2.81707920198582, 6.80851893355205	[18, 104]	4984
4985	[0, 0, 0, 0, 4985] 0 894608100	{O} -	0	-	-	-	4985
4986	[0, 0, 0, 0, 4986] 0 1193289408	{O} -	1	[7 : 73 : 1]	3.33121202690494	[7, 73]	4986
4987	[0, 0, 0, 0, 4987] 0 3581304336	{O} -	1	[-508 : 4287 : 64]	5.54897321875051	-	4987
4988	[0, 0, 0, 0, 4988] 0 671763888	{O} -	1	[-5677 : 7309 : 343]	7.27538435423492	-	4988
4989	[0, 0, 0, 0, 4989] 0 2688133068	{O} -	0	-	-	-	4989
4990	[0, 0, 0, 0, 4990] 0 10756843200	{O} -	1	[51 : 371 : 1]	4.14175665066105	[51, 371]	4990
4991	[0, 0, 0, 0, 4991] 0 10761154992	{O} -	0	-	-	-	4991
4992	[0, 0, 0, 0, 4992] 0 2628288	{O} -	0	-	-	-	4992
4993	[0, 0, 0, 0, 4993] 0 2692445292	{O} -	1	[252 : 4001 : 1]	5.10908412348215	[252, 4001]	4993
4994	[0, 0, 0, 0, 4994] 0 3591365184	{O} -	3	[-17 : 9 : 1], [23 : 131 : 1], [311 : 5485 : 1]	2.83796695510314, 3.61769177243046, 5.77361644312899	[-17, 9], [23, 131], [311, 5485]	4994
4995	[0, 0, 0, 0, 4995] 0 14785200	{O} -	0	-	-	-	4995
4996	[0, 0, 0, 0, 4996] 0 56160036	{O} -	2	[-16 : 30 : 1], [12 : 82 : 1]	1.90643681314209, 2.47269926200669	[-16, 30], [12, 82], [20, 114]	4996
4997	[0, 0, 0, 0, 4997] 0 2696760972	{O} -	0	-	-	-	4997
4998	[0, 0, 0, 0, 4998] 0 220231872	{O} -	1	[70091 : -436723 : 4913]	7.80581859342834	-	4998
4999	[0, 0, 0, 0, 4999] 0 10795680432	{O} -	1	[132 : 4529 : 64]	6.07606690253255	-	4999
5000	[0, 0, 0, 0, 5000] 0 43200	{O} -	1	[14 : 88 : 1]	2.73869772597655	[14, 88]	5000

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[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 [4001..5000])

[2021.09.11]y^2=x^3+n (n \in [4001..5000])の有理点

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[参考文献]

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