Rational Points on Elliptic Curves: y^2=x^3+n (n \in [6001..7000])

Rational Points on Ellptic Curves: y^2=x^3+n (n \in [6001..7000])

[2021.10.22]y^2=x^3+n (n \in [6001..7000])の有理点

■n=6001,6002,...,7000に対して、
     E_n: y² = x³+n
の有理点を求める。

■n=6001,6002,...,7000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=6859
                 =Z/3Z if n=6084,6241.6400,6561,6724,6889
                 ={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(6001,7000)
E_6084(Q)_{tors}=[3, [3], [[0, 78]]]
E_6241(Q)_{tors}=[3, [3], [[0, 79]]]
E_6400(Q)_{tors}=[3, [3], [[0, 80]]]
E_6561(Q)_{tors}=[3, [3], [[0, 81]]]
E_6724(Q)_{tors}=[3, [3], [[0, 82]]]
E_6859(Q)_{tors}=[2, [2], [[-19, 0]]]
E_6889(Q)_{tors}=[3, [3], [[0, 83]]]
time = 7 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
6001	[0, 0, 0, 0, 6001] 0 3889296108	{O} -	3	[-18 : 13 : 1], [42 : 283 : 1], [642 : 16267 : 1]	2.98588685206024, 3.54919391383655, 6.01990167642722	[-18, 13], [42, 283], [642, 16267]	6001
6002	[0, 0, 0, 0, 6002] 0 5187456576	{O} -	1	[-17 : 33 : 1]	2.89172239096119	[-17, 33]	6002
6003	[0, 0, 0, 0, 6003] 0 1729728432	{O} -	0	-	-	-	6003
6004	[0, 0, 0, 0, 6004] 0 81108036	{O} -	0	-	-	-	6004
6005	[0, 0, 0, 0, 6005] 0 3894482700	{O} -	0	-	-	-	6005
6006	[0, 0, 0, 0, 6006] 0 15583119552	{O} -	1	[2246593534646315576 : 83133006355504030745 : 1640693877968384]	30.5861461846329	-	6006
6007	[0, 0, 0, 0, 6007] 0 15588309168	{O} -	1	[10305 : 94066 : 125]	7.76777754536557	-	6007
6008	[0, 0, 0, 0, 6008] 0 974593728	{O} -	0	-	-	-	6008
6009	[0, 0, 0, 0, 6009] 0 3899672748	{O} -	1	[100 : 1003 : 1]	4.25558816739024	[100, 1003]	6009
6010	[0, 0, 0, 0, 6010] 0 15603883200	{O} -	0	-	-	-	6010
6011	[0, 0, 0, 0, 6011] 0 5203025424	{O} -	1	[-570 : 16721 : 216]	6.94905202448060	-	6011
6012	[0, 0, 0, 0, 6012] 0 108432432	{O} -	1	[-654202 : 49313467 : 636056]	12.2717738474128	-	6012
6013	[0, 0, 0, 0, 6013] 0 1301622084	{O} -	2	[114 : 755 : 8], [3195 : 18838 : 125]	4.86879447764728, 6.92063197027847	-	6013
6014	[0, 0, 0, 0, 6014] 0 15624660672	{O} -	1	[6980 : 73063 : 64]	7.56760894613254	-	6014
6015	[0, 0, 0, 0, 6015] 0 15629857200	{O} -	1	[-17301911 : 126309112 : 1771561]	12.9868820779161	-	6015
6016	[0, 0, 0, 0, 6016] 0 3817152	{O} -	1	[12 : 88 : 1]	2.06108190143438	[12, 88]	6016
6017	[0, 0, 0, 0, 6017] 0 3910063212	{O} -	1	[431228 : 2559787 : 21952]	10.2468221444953	-	6017
6018	[0, 0, 0, 0, 6018] 0 15645451968	{O} -	0	-	-	-	6018
6019	[0, 0, 0, 0, 6019] 0 15650651952	{O} -	0	-	-	-	6019
6020	[0, 0, 0, 0, 6020] 0 81540900	{O} -	2	[4 : 78 : 1], [44 : 302 : 1]	1.89784017516079, 3.12096644914257	[4, 78], [44, 302]	6020
6021	[0, 0, 0, 0, 6021] 0 5370732	{O} -	1	[-380 : 4879 : 64]	6.14927940207117	-	6021
6022	[0, 0, 0, 0, 6022] 0 5222085696	{O} -	1	[-5110 : 76737 : 1000]	7.42935689725530	-	6022
6023	[0, 0, 0, 0, 6023] 0 15671460528	{O} -	1	[101 : 1018 : 1]	4.72659725866667	[101, 1018]	6023
6024	[0, 0, 0, 0, 6024] 0 979791552	{O} -	1	[32697098 : -197771915 : 1815848]	13.1588227687617	-	6024
6025	[0, 0, 0, 0, 6025] 0 156818700	{O} -	1	[6 : 79 : 1]	2.92074485540004	[6, 79]	6025
6026	[0, 0, 0, 0, 6026] 0 15687076032	{O} -	0	-	-	-	6026
6027	[0, 0, 0, 0, 6027] 0 320250672	{O} -	0	-	-	-	6027
6028	[0, 0, 0, 0, 6028] 0 981093168	{O} -	2	[-18 : 14 : 1], [1002 : 6454 : 27]	2.75614450783921, 5.42985816969037	[-18, 14]	6028
6029	[0, 0, 0, 0, 6029] 0 1308558276	{O} -	0	-	-	-	6029
6030	[0, 0, 0, 0, 6030] 0 1745323200	{O} -	0	-	-	-	6030
6031	[0, 0, 0, 0, 6031] 0 5237706384	{O} -	1	[-14 : 621 : 8]	4.20198978355476	-	6031
6032	[0, 0, 0, 0, 6032] 0 3837483	{O} -	1	[-16 : 44 : 1]	2.04930607292801	[-16, 44]	6032
6033	[0, 0, 0, 0, 6033] 0 3930885612	{O} -	0	-	-	-	6033
6034	[0, 0, 0, 0, 6034] 0 15728755392	{O} -	1	[15 : 97 : 1]	3.49613799141133	[15, 97]	6034
6035	[0, 0, 0, 0, 6035] 0 15733969200	{O} -	0	-	-	-	6035
6036	[0, 0, 0, 0, 6036] 0 245924748	{O} -	1	[-77757981 : -387281521 : 6128487]	13.8328923375939	-	6036
6037	[0, 0, 0, 0, 6037] 0 3936099852	{O} -	1	[66420 : -650381 : 8000]	9.39434321874448	-	6037
6038	[0, 0, 0, 0, 6038] 0 5249871936	{O} -	1	[6938308632353 : 98887125263499 : 1255168513403]	21.4033085388094	-	6038
6039	[0, 0, 0, 0, 6039] 0 1750537008	{O} -	1	[392988176185 : 11287428465178 : 476379541]	20.0500480200692	-	6039
6040	[0, 0, 0, 0, 6040] 0 328334400	{O} -	1	[1138 : 13587 : 8]	5.87356793917969	-	6040
6041	[0, 0, 0, 0, 6041] 0 3941317548	{O} -	2	[-10 : 71 : 1], [-13 : 62 : 1]	2.93588064675324, 3.41615752537666	[-13, 62], [-10, 71], [32, 197]	6041
6042	[0, 0, 0, 0, 6042] 0 15770490048	{O} -	1	[182937720 : 1887061121 : 1728000]	14.3435746267242	-	6042
6043	[0, 0, 0, 0, 6043] 0 15775710768	{O} -	1	[279137778 : 3833246591 : 1481544]	14.7705873047834	-	6043
6044	[0, 0, 0, 0, 6044] 0 986308272	{O} -	2	[50 : 362 : 1], [-13275 : 1727 : 729]	3.44775473090788, 7.84598934315241	[50, 362]	6044
6045	[0, 0, 0, 0, 6045] 0 3946538700	{O} -	1	[166396930930141043202 : -2432800310222455264603 : 30893466404644634952]	33.2979687796220	-	6045
6046	[0, 0, 0, 0, 6046] 0 15791378112	{O} -	0	-	-	-	6046
6047	[0, 0, 0, 0, 6047] 0 5265534096	{O} -	1	[17397 : 102158 : 729]	8.06271435480278	-	6047
6048	[0, 0, 0, 0, 6048] 0 28224	{O} -	0	-	-	-	6048
6049	[0, 0, 0, 0, 6049] 0 1317254436	{O} -	2	[8 : 81 : 1], [18 : 109 : 1]	2.38913505994990, 3.08946328532274	[8, 81], [18, 109], [335, 6132]	6049
6050	[0, 0, 0, 0, 6050] 0 5227200	{O} -	1	[-483 : 487 : 27]	5.64679685598858	-	6050
6051	[0, 0, 0, 0, 6051] 0 15817507632	{O} -	1	[795 : 4798 : 27]	5.97783317892177	-	6051
6052	[0, 0, 0, 0, 6052] 0 247230252	{O} -	0	-	-	-	6052
6053	[0, 0, 0, 0, 6053] 0 3956991372	{O} -	1	[135651927 : -2313768700 : 29503629]	14.8426283914467	-	6053
6054	[0, 0, 0, 0, 6054] 0 15833195712	{O} -	2	[-5 : 77 : 1], [8674500545 : -80853290861 : 985074875]	3.37482207283046, 17.2143919121568	[-5, 77]	6054
6055	[0, 0, 0, 0, 6055] 0 15838426800	{O} -	0	-	-	-	6055
6056	[0, 0, 0, 0, 6056] 0 330076224	{O} -	1	[10 : 84 : 1]	2.18011725871976	[10, 84]	6056
6057	[0, 0, 0, 0, 6057] 0 440246988	{O} -	3	[-18 : 15 : 1], [3 : 78 : 1], [7 : 80 : 1]	2.25618276003357, 6372106948411526, 3.39207759956166	[-18, 15], [3, 78], [7, 80], [24, 141], [138, 1623]	6057
6058	[0, 0, 0, 0, 6058] 0 5284708416	{O} -	3	[-9 : 73 : 1], [23 : 135 : 1], [2098 : 33981 : 8]	3.39333900798990, 3.10175074789685, 6.44908056488947	[-9, 73], [23, 135]	6058
6059	[0, 0, 0, 0, 6059] 0 15859359792	{O} -	1	[2623096 : -17018765 : 175616]	11.5467683665433	-	6059
6060	[0, 0, 0, 0, 6060] 0 991537200	{O} -	1	[-142 : 173 : 8]	4.83537506517057	-	6060
6061	[0, 0, 0, 0, 6061] 0 3967457868	{O} -	0	-	-	-	6061
6062	[0, 0, 0, 0, 6062] 0 15875068608	{O} -	0	-	-	-	6062
6063	[0, 0, 0, 0, 6063] 0 15880306608	{O} -	0	-	-	-	6063
6064	[0, 0, 0, 0, 6064] 0 62052912	{O} -	0	-	-	-	6064
6065	[0, 0, 0, 0, 6065] 0 1324232100	{O} -	2	[34 : 213 : 1], [11 : 86 : 1]	2.85752438643262, 3.43572106571663	[11, 86], [34, 213], [124, 1383]	6065
6066	[0, 0, 0, 0, 6066] 0 1766225088	{O} -	1	[19537009653 : -3223343988037 : 41385831579]	19.6631570956564	-	6066
6067	[0, 0, 0, 0, 6067] 0 5300422416	{O} -	1	[402 : 2917 : 8]	5.53130442418494	-	6067
6068	[0, 0, 0, 0, 6068] 0 248539212	{O} -	0	-	-	-	6068
6069	[0, 0, 0, 0, 6069] 0 13764492	{O} -	1	[-17 : 34 : 1]	1.55548321538819	[-17, 34]	6069
6070	[0, 0, 0, 0, 6070] 0 15916996800	{O} -	1	[-1981458 : -17667349 : 238328]	11.6446385496119	-	6070
6071	[0, 0, 0, 0, 6071] 0 15922241712	{O} -	0	-	-	-	6071
6072	[0, 0, 0, 0, 6072] 0 995467968	{O} -	0	-	-	-	6072
6073	[0, 0, 0, 0, 6073] 0 3983183532	{O} -	1	[8885016 : 58335863 : 226981]	11.7226136905755	-	6073
6074	[0, 0, 0, 0, 6074] 0 5312660544	{O} -	1	[8885016 : 58335863 : 226981]	11.7226136905755	-	6074
6075	[0, 0, 0, 0, 6075] 0 97200	{O} -	1	[-16790 : 36631 : 1000]	8.04830085637276	-	6075
6076	[0, 0, 0, 0, 6076] 0 6780816	{O} -	1	[2 : 78 : 1]	2.12563485750366	[2, 78]	6076
6077	[0, 0, 0, 0, 6077] 0 3988432332	{O} -	0	-	-	-	6077
6078	[0, 0, 0, 0, 6078] 0 15958980288	{O} -	1	[-71024 : 120427 : 4096]	8.99226372052446	-	6078
6079	[0, 0, 0, 0, 6079] 0 15964232112	{O} -	1	[-15 : 52 : 1]	3.43114977215411	[-15, 52]	6079
6080	[0, 0, 0, 0, 6080] 0 3898800	{O} -	0	-	-	-	6080
6081	[0, 0, 0, 0, 6081] 0 3993684588	{O} -	1	[52 : 383 : 1]	3.70939356161679	[52, 383]	6081
6082	[0, 0, 0, 0, 6082] 0 15979992768	{O} -	0	-	-	-	6082
6083	[0, 0, 0, 0, 6083] 0 5328416016	{O} -	1	[1 : 78 : 1]	2.81768482052702	[1, 78]	6083
6084	[0, 0, 0, 0, 6084] 0 164268	Z/3Z [0, 78]	1	[-12 : 66 : 1]	1.75545398658208	[-12, 66], [0, 78], [13, 91], [156, 1950]	6084
6085	[0, 0, 0, 0, 6085] 0 1332980100	{O} -	2	[-1 : 78 : 1], [-12551 : 96408 : 1331]	2.81776694010958, 7.64356463699773	[-1, 78]	6085
6086	[0, 0, 0, 0, 6086] 0 16001019072	{O} -	1	[-5803 : 12095 : 343]	7.33637052344323	-	6086
6087	[0, 0, 0, 0, 6087] 0 16006277808	{O} -	1	[-10580195805021635659378609097 : 94448371192295816795596420282 : 1272180119440571888216535307]	44.9982953142036	-	6087
6088	[0, 0, 0, 0, 6088] 0 1000721088	{O} -	3	[-18 : 16 : 1], [33 : 205 : 1], [297 : 5119 : 1]	2.75902869709919, 3.85044675912961, 5.73157339494006	[-18, 16], [33, 205], [297, 5119]	6088
6089	[0, 0, 0, 0, 6089] 0 4004199468	{O} -	1	[-268550 : -5351857 : 68921]	10.3380959577508	-	6089
6090	[0, 0, 0, 0, 6090] 0 16022059200	{O} -	0	-	-	-	6090
6091	[0, 0, 0, 0, 6091] 0 16027321392	{O} -	2	[-110865 : -296464 : 6859], [-631925898 : 166434107 : 34645976]	9.32848330554446, 15.0277945088161	-	6091
6092	[0, 0, 0, 0, 6092] 0 334012176	{O} -	3	[-2 : 78 : 1], [-11 : 69 : 1], [734 : 19886 : 1]	2.12629029785602, 2.85711161938658, 5.92066697901948	[-11, 69], [-2, 78], [14, 94], [734, 19886]	6092
6093	[0, 0, 0, 0, 6093] 0 445495788	{O} -	2	[-142 : 179 : 8], [386 : 2753 : 8]	4.83696064885398, 5.50083193780184	-	6093
6094	[0, 0, 0, 0, 6094] 0 5347704384	{O} -	1	[-364524085933 : 4954609373751 : 64432972729]	19.4227652676398	-	6094
6095	[0, 0, 0, 0, 6095] 0 16048378800	{O} -	1	[10674129437 : -153139593392 : 51895117]	17.2242169878961	-	6095
6096	[0, 0, 0, 0, 6096] 0 3919347	{O} -	1	[50 : 637 : 8]	4.77463482157299	-	6096
6097	[0, 0, 0, 0, 6097] 0 4014728172	{O} -	0	-	-	-	6097
6098	[0, 0, 0, 0, 6098] 0 16064180928	{O} -	0	-	-	-	6098
6099	[0, 0, 0, 0, 6099] 0 16069450032	{O} -	0	-	-	-	6099
6100	[0, 0, 0, 0, 6100] 0 10046700	{O} -	0	-	-	-	6100
6101	[0, 0, 0, 0, 6101] 0 1339999236	{O} -	0	-	-	-	6101
6102	[0, 0, 0, 0, 6102] 0 7354944	{O} -	0	-	-	-	6102
6103	[0, 0, 0, 0, 6103] 0 5363511696	{O} -	1	[1023924640592 : -9260622209301 : 111701610496]	19.8253192310815	-	6103
6104	[0, 0, 0, 0, 6104] 0 1005988032	{O} -	1	[-170 : 9764 : 125]	5.89421048957357	-	6104
6105	[0, 0, 0, 0, 6105] 0 4025270700	{O} -	2	[16 : 101 : 1], [98 : 713 : 8]	3.05448863005926, 4.84134746401119	[16, 101]	6105
6106	[0, 0, 0, 0, 6106] 0 16106357952	{O} -	1	[118230 : 2766131 : 216]	9.90916940943836	-	6106
6107	[0, 0, 0, 0, 6107] 0 16111633968	{O} -	0	-	-	-	6107
6108	[0, 0, 0, 0, 6108] 0 1007306928	{O} -	2	[-14 : 58 : 1], [1415953 : 8468591 : 50653]	2.73282577285270, 10.9741878476694	[-14, 58]	6108
6109	[0, 0, 0, 0, 6109] 0 4030547148	{O} -	1	[412467 : 2551666 : 24389]	10.2679212262802	-	6109
6110	[0, 0, 0, 0, 6110] 0 5375822400	{O} -	1	[40169924902 : -402084050529 : 4930360408]	17.7348533301770	-	6110
6111	[0, 0, 0, 0, 6111] 0 1792527408	{O} -	2	[-3 : 78 : 1], [3588 : 27327 : 64]	2.63941428611546, 6.27080028452254	[-3, 78]	6111
6112	[0, 0, 0, 0, 6112] 0 21013056	{O} -	1	[17 : 105 : 1]	2.98576195008067	[17, 105]	6112
6113	[0, 0, 0, 0, 6113] 0 4035827052	{O} -	2	[-168 : 2069 : 27], [776 : 21617 : 1]	5.11793620056925, 6.20654757965386	[776, 21617]	6113
6114	[0, 0, 0, 0, 6114] 0 16148590272	{O} -	1	[438 : 16901 : 216]	6.95373300582945	-	6114
6115	[0, 0, 0, 0, 6115] 0 16153873200	{O} -	1	[21 : 124 : 1]	3.61255032809986	[21, 124]	6115
6116	[0, 0, 0, 0, 6116] 0 252486828	{O} -	1	[5 : 79 : 1]	3.38144593462578	[5, 79]	6116
6117	[0, 0, 0, 0, 6117] 0 4041110412	{O} -	1	[-1656737696466900 : -3190305850015627 : 96702579000000]	24.9159645242077	-	6117
6118	[0, 0, 0, 0, 6118] 0 16169727168	{O} -	0	-	-	-	6118
6119	[0, 0, 0, 0, 6119] 0 5391671184	{O} -	1	[-7 : 76 : 1]	3.38656175685898	[-7, 76]	6119
6120	[0, 0, 0, 0, 6120] 0 112363200	{O} -	1	[158678 : -980272 : 4913]	8.81096199557862	-	6120
6121	[0, 0, 0, 0, 6121] 0 1348799076	{O} -	2	[-16 : 45 : 1], [-18 : 17 : 1]	2.42854586713198, 2.99165266933150	[-18, 17], [-16, 45], [230, 3489], [995, 31386]	6121
6122	[0, 0, 0, 0, 6122] 0 16190877888	{O} -	1	[-132310492733689088 : 554242095746624843 : 9489349112496128]	27.9522595687031	-	6122
6123	[0, 0, 0, 0, 6123] 0 16196167728	{O} -	1	[-4529 : 21202 : 343]	7.31339922871770	-	6123
6124	[0, 0, 0, 0, 6124] 0 1012591152	{O} -	1	[30 : 182 : 1]	3.10005736902834	[30, 182]	6124
6125	[0, 0, 0, 0, 6125] 0 132300	{O} -	1	[-110 : 475 : 8]	3.20204638241985	-	6125
6126	[0, 0, 0, 0, 6126] 0 16212042432	{O} -	0	-	-	-	6126
6127	[0, 0, 0, 0, 6127] 0 16217335728	{O} -	0	-	-	-	6127
6128	[0, 0, 0, 0, 6128] 0 21123216	{O} -	1	[-94 : 537 : 8]	4.24974239901063	-	6128
6129	[0, 0, 0, 0, 6129] 0 5565132	{O} -	0	-	-	-	6129
6130	[0, 0, 0, 0, 6130] 0 5411073600	{O} -	1	[90293736 : 813757303 : 1124864]	13.8157477600599	-	6130
6131	[0, 0, 0, 0, 6131] 0 16238517552	{O} -	1	[945070 : -17540279 : 2744]	11.1526590901569	-	6131
6132	[0, 0, 0, 0, 6132] 0 253809612	{O} -	0	-	-	-	6132
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6279	[0, 0, 0, 0, 6279] 0 17031963312	{O} -	2	[25 : 148 : 1], [221456048 : -1476070961 : 5451776]	3.69753920887916, 14.3330649141554	[25, 148]	6279
6280	[0, 0, 0, 0, 6280] 0 1064836800	{O} -	0	-	-	-	6280
6281	[0, 0, 0, 0, 6281] 0 1420234596	{O} -	2	[14 : 95 : 1], [70 : 591 : 1]	3.02746555277440, 3.40120238394740	[14, 95], [70, 591]	6281
6282	[0, 0, 0, 0, 6282] 0 1894249152	{O} -	1	[-17 : 37 : 1]	3.45444577009322	[-17, 37]	6282
6283	[0, 0, 0, 0, 6283] 0 5684556816	{O} -	1	[-31706514 : 95953733 : 2000376]	13.1192745884969	-	6283
6284	[0, 0, 0, 0, 6284] 0 1066193712	{O} -	1	[-33657502 : -913240351 : 11543176]	14.2219354230185	-	6284
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6286	[0, 0, 0, 0, 6286] 0 17069959872	{O} -	1	[4233 : 53045 : 27]	7.32465294129531	-	6286
6287	[0, 0, 0, 0, 6287] 0 17075391408	{O} -	0	-	-	-	6287
6288	[0, 0, 0, 0, 6288] 0 4170123	{O} -	2	[-8 : 76 : 1], [136 : 1588 : 1]	2.01377949771000, 3.61013195358971	[-8, 76], [136, 1588]	6288
6289	[0, 0, 0, 0, 6289] 0 4271564268	{O} -	1	[18 : 635 : 8]	4.76634598420203	-	6289
6290	[0, 0, 0, 0, 6290] 0 5697230400	{O} -	1	[-2555475818 : 1202974403 : 138991832]	15.9643174896639	-	6290
6291	[0, 0, 0, 0, 6291] 0 7817616	{O} -	2	[-15 : 54 : 1], [-1789538 : 851653 : 97336]	1.79351976034230, 11.1216915905224	[-15, 54]	6291
6292	[0, 0, 0, 0, 6292] 0 736164	{O} -	1	[1945 : 12537 : 125]	6.18566723672117	-	6292
6293	[0, 0, 0, 0, 6293] 0 4276999692	{O} -	2	[-13 : 64 : 1], [508560052 : -3142292399 : 29218112]	3.42865984767826, 15.0093988683686	[-13, 64]	6293
6294	[0, 0, 0, 0, 6294] 0 17113436352	{O} -	1	[-159 : 2107 : 27]	5.58814198643929	-	6294
6295	[0, 0, 0, 0, 6295] 0 17118874800	{O} -	1	[3894 : 23813 : 216]	7.14436374799725	-	6295
6296	[0, 0, 0, 0, 6296] 0 1070269632	{O} -	0	-	-	-	6296
6297	[0, 0, 0, 0, 6297] 0 4282438572	{O} -	1	[868 : 25573 : 1]	6.31717906447705	[868, 25573]	6297
6298	[0, 0, 0, 0, 6298] 0 17135195328	{O} -	0	-	-	-	6298
6299	[0, 0, 0, 0, 6299] 0 5713545744	{O} -	1	[-576293048 : 1555546335 : 35287552]	14.4874245826885	-	6299
6300	[0, 0, 0, 0, 6300] 0 4762800	{O} -	1	[-6 : 78 : 1]	1.96612077566076	[-6, 78]	6300
6301	[0, 0, 0, 0, 6301] 0 1429293636	{O} -	0	-	-	-	6301
6302	[0, 0, 0, 0, 6302] 0 17156968128	{O} -	1	[920379 : -14844061 : 185193]	11.4770974738159	-	6302
6303	[0, 0, 0, 0, 6303] 0 17162413488	{O} -	1	[3037 : 167366 : 1]	8.02236625731471	[3037, 167366]	6303
6304	[0, 0, 0, 0, 6304] 0 67061952	{O} -	1	[43753351017762477 : -553342634909918989 : 273979082062349]	27.3073208131406	-	6304
6305	[0, 0, 0, 0, 6305] 0 4293326700	{O} -	3	[-4 : 79 : 1], [-16 : 47 : 1], [2118 : 18881 : 27]	2.92274373716094, 2.98665763264391, 6.24382177955069	[-16, 47], [-4, 79]	6305
6306	[0, 0, 0, 0, 6306] 0 17178754752	{O} -	0	-	-	-	6306
6307	[0, 0, 0, 0, 6307] 0 17184203568	{O} -	2	[162 : 967 : 8], [-4893 : 20012 : 343]	4.99014995164470, 7.32922319622823	-	6307
6308	[0, 0, 0, 0, 6308] 0 89529444	{O} -	2	[16 : 102 : 1], [61 : 483 : 1]	2.05089088317103, 3.75079571993440	[16, 102], [61, 483], [92, 886]	6308
6309	[0, 0, 0, 0, 6309] 0 477641772	{O} -	2	[31 : 190 : 1], [6186305 : 70098722 : 857375]	3.81669105331425, 12.5143964853699	[31, 190]	6309
6310	[0, 0, 0, 0, 6310] 0 5733518400	{O} -	1	[178 : 1053 : 8]	4.48039917188528	-	6310
6311	[0, 0, 0, 0, 6311] 0 17206007472	{O} -	1	[-1212318896088456485365927045869 : -26379860271295801098246393958156 : 333338093283444239916380247723]	48.7034140997139	-	6311
6312	[0, 0, 0, 0, 6312] 0 1075716288	{O} -	1	[7766022 : 52398568 : 185193]	11.4079903668717	-	6312
6313	[0, 0, 0, 0, 6313] 0 4304228652	{O} -	0	-	-	-	6313
6314	[0, 0, 0, 0, 6314] 0 17222369472	{O} -	0	-	-	-	6314
6315	[0, 0, 0, 0, 6315] 0 17227825200	{O} -	0	-	-	-	6315
6316	[0, 0, 0, 0, 6316] 0 1077080112	{O} -	2	[-18 : 22 : 1], [-13398 : 96862 : 1331]	2.76974974696853, 7.51499516265491	[-18, 22]	6316
6317	[0, 0, 0, 0, 6317] 0 1436561604	{O} -	0	-	-	-	6317
6318	[0, 0, 0, 0, 6318] 0 2628288	{O} -	1	[5541708676 : 54427174075 : 653972032]	16.9508653760172	-	6318
6319	[0, 0, 0, 0, 6319] 0 5749885584	{O} -	1	[2667252150 : 20660767181 : 45882712]	16.0227295078090	-	6319
6320	[0, 0, 0, 0, 6320] 0 67402800	{O} -	1	[569 : 13573 : 1]	6.36386891731591	[569, 13573]	6320
6321	[0, 0, 0, 0, 6321] 0 88064172	{O} -	0	-	-	-	6321
6322	[0, 0, 0, 0, 6322] 0 17266039488	{O} -	1	[4146945 : -24569107 : 166375]	11.7118485237475	-	6322
6323	[0, 0, 0, 0, 6323] 0 17271502128	{O} -	2	[17 : 106 : 1], [491253686 : 3986876365 : 45882712]	3.54285299094938, 15.2049177455011	[17, 106]	6323
6324	[0, 0, 0, 0, 6324] 0 269952588	{O} -	1	[-1434 : 16775 : 216]	6.97911729653708	-	6324
6325	[0, 0, 0, 0, 6325] 0 172824300	{O} -	2	[7413 : 43952 : 343], [-71421 : 709318 : 9261]	7.52302458334871, 9.48960249459179	-	6325
6326	[0, 0, 0, 0, 6326] 0 5762631744	{O} -	1	[146 : 891 : 8]	4.40308592650631	-	6326
6327	[0, 0, 0, 0, 6327] 0 1921484592	{O} -	2	[9 : 84 : 1], [-31234 : 191141 : 2744]	2.69186758266561, 8.69857824745984	[9, 84]	6327
6328	[0, 0, 0, 0, 6328] 0 360392256	{O} -	1	[-1430 : 8688 : 125]	5.39727455410285	-	6328
6329	[0, 0, 0, 0, 6329] 0 4326074028	{O} -	2	[-10 : 73 : 1], [23 : 136 : 1]	2.95053302769124, 3.65890095246685	[-10, 73], [23, 136]	6329
6330	[0, 0, 0, 0, 6330] 0 17309764800	{O} -	1	[20715671292845 : -123346200404671 : 998500749875]	22.0339848217784	-	6330
6331	[0, 0, 0, 0, 6331] 0 17315234352	{O} -	1	[-168097740 : -318630722623 : 4004529472]	18.1202980215152	-	6331
6332	[0, 0, 0, 0, 6332] 0 1082544048	{O} -	0	-	-	-	6332
6333	[0, 0, 0, 0, 6333] 0 4331544012	{O} -	1	[2085 : 268588 : 3375]	8.79621616579757	-	6333
6334	[0, 0, 0, 0, 6334] 0 17331648192	{O} -	0	-	-	-	6334
6335	[0, 0, 0, 0, 6335] 0 5779040400	{O} -	1	[9005 : 77076 : 125]	7.10662335315469	-	6335
6336	[0, 0, 0, 0, 6336] 0 470448	{O} -	1	[4 : 80 : 1]	2.00181012583338	[4, 80]	6336
6337	[0, 0, 0, 0, 6337] 0 1445672484	{O} -	0	-	-	-	6337
6338	[0, 0, 0, 0, 6338] 0 17353545408	{O} -	1	[52313523 : 660674971 : 328509]	13.6103247322327	-	6338
6339	[0, 0, 0, 0, 6339] 0 17359021872	{O} -	1	[13215412789752824 : 351139068381781843 : 18719391108608]	26.9494249829623	-	6339
6340	[0, 0, 0, 0, 6340] 0 271320300	{O} -	2	[24 : 142 : 1], [1320 : 10838 : 125]	2.75497499960157, 5.73747083202513	[24, 142]	6340
6341	[0, 0, 0, 0, 6341] 0 4342494348	{O} -	1	[7304774292784552005626750 : -51636284601145247532538127 : 155052710652642326320888]	39.6987215466669	-	6341
6342	[0, 0, 0, 0, 6342] 0 17375456448	{O} -	2	[43 : 293 : 1], [-2051 : 26851 : 343]	4.03337024240729, 7.28557485255282	[43, 293]	6342
6343	[0, 0, 0, 0, 6343] 0 17380936368	{O} -	0	-	-	-	6343
6344	[0, 0, 0, 0, 6344] 0 362217024	{O} -	1	[-14 : 60 : 1]	2.19501122169681	[-14, 60]	6344
6345	[0, 0, 0, 0, 6345] 0 1988100	{O} -	1	[6 : 81 : 1]	1.28937435930288	[6, 81]	6345
6346	[0, 0, 0, 0, 6346] 0 5799127104	{O} -	1	[4795 : 31323 : 125]	6.62328304149805	-	6346
6347	[0, 0, 0, 0, 6347] 0 17402864688	{O} -	1	[2396262037492321820146740116 : -287452544217483612981489218101 : 3608044502067449285462380864]	45.6828546129115	-	6347
6348	[0, 0, 0, 0, 6348] 0 2056752	{O} -	2	[46 : 322 : 1], [142 : 1694 : 1]	1.29897648973451, 4.34314471156846	[46, 322], [142, 1694], [253, 4025]	6348
6349	[0, 0, 0, 0, 6349] 0 4353458508	{O} -	0	-	-	-	6349
6350	[0, 0, 0, 0, 6350] 0 696772800	{O} -	1	[-3306 : 11357 : 216]	7.02977373963657	-	6350
6351	[0, 0, 0, 0, 6351] 0 17424806832	{O} -	0	-	-	-	6351
6352	[0, 0, 0, 0, 6352] 0 4255443	{O} -	2	[-12 : 68 : 1], [444 : 9356 : 1]	2.03908112320414, 4.73519289734721	[-12, 68], [444, 9356]	6352
6353	[0, 0, 0, 0, 6353] 0 1452981924	{O} -	0	-	-	-	6353
6354	[0, 0, 0, 0, 6354] 0 1937919168	{O} -	2	[-9 : 75 : 1], [-9867 : 102639 : 1331]	2.67607395759299, 7.46399829472259	[-9, 75]	6354
6355	[0, 0, 0, 0, 6355] 0 5815587600	{O} -	1	[275709 : -1675738 : 9261]	9.88290836102368	-	6355
6356	[0, 0, 0, 0, 6356] 0 272691468	{O} -	0	-	-	-	6356
6357	[0, 0, 0, 0, 6357] 0 4364436492	{O} -	2	[-17 : 38 : 1], [11713541 : 69922546 : 571787]	3.45794365571456, 12.4477264615107	[-17, 38]	6357
6358	[0, 0, 0, 0, 6358] 0 60426432	{O} -	0	-	-	-	6358
6359	[0, 0, 0, 0, 6359] 0 17468732592	{O} -	2	[53 : 394 : 1], [3030 : 20627 : 216]	4.18959845732614, 7.07671719803683	[53, 394]	6359
6360	[0, 0, 0, 0, 6360] 0 1092139200	{O} -	0	-	-	-	6360
6361	[0, 0, 0, 0, 6361] 0 4369930668	{O} -	1	[-18 : 23 : 1]	3.00287162804878	[-18, 23]	6361
6362	[0, 0, 0, 0, 6362] 0 5828406336	{O} -	1	[-354116 : 1021245 : 21952]	9.56741641648608	-	6362
6363	[0, 0, 0, 0, 6363] 0 1943412912	{O} -	1	[-188 : 5095 : 64]	6.15764044633061	-	6363
6364	[0, 0, 0, 0, 6364] 0 364504464	{O} -	1	[21 : 125 : 1]	3.62032691417295	[21, 125]	6364
6365	[0, 0, 0, 0, 6365] 0 4375428300	{O} -	0	-	-	-	6365
6366	[0, 0, 0, 0, 6366] 0 17507212992	{O} -	3	[-5 : 79 : 1], [19 : 115 : 1], [-36854640 : -199988639 : 2985984]	3.39127218419325, 3.58165830005869, 13.3677617289264	[-5, 79], [19, 115]	6366
6367	[0, 0, 0, 0, 6367] 0 17512713648	{O} -	1	[16771932025485920433024693 : -99464543723919224505264640 : 764922871582528842500309]	40.3013816427338	-	6367
6368	[0, 0, 0, 0, 6368] 0 68430528	{O} -	0	-	-	-	6368
6369	[0, 0, 0, 0, 6369] 0 4380929388	{O} -	1	[122772 : 8278795 : 27]	10.1598809883760	-	6369
6370	[0, 0, 0, 0, 6370] 0 357739200	{O} -	0	-	-	-	6370
6371	[0, 0, 0, 0, 6371] 0 5844908304	{O} -	1	[2657 : 136958 : 1]	7.88924407263258	[2657, 136958]	6371
6372	[0, 0, 0, 0, 6372] 0 375948	{O} -	2	[12 : 90 : 1], [-11 : 71 : 1]	1.07424774702500, 3.42043084386827	[-11, 71], [12, 90], [48, 342], [84, 774], [829, 23869]	6372
6373	[0, 0, 0, 0, 6373] 0 1462144644	{O} -	2	[3 : 80 : 1], [12855 : 130744 : 125]	3.38641396915417, 7.96361430024443	[3, 80]	6373
6374	[0, 0, 0, 0, 6374] 0 17551242432	{O} -	1	[304815 : -1898623 : 9261]	9.94359799038678	-	6374
6375	[0, 0, 0, 0, 6375] 0 28090800	{O} -	1	[18830 : 224575 : 2744]	7.07577125555147	-	6375
6376	[0, 0, 0, 0, 6376] 0 1097641152	{O} -	1	[-65955369917703 : -1057860456511795 : 13374497976553]	23.5411256910509	-	6376
6377	[0, 0, 0, 0, 6377] 0 4391941932	{O} -	1	[8 : 83 : 1]	2.95472398898037	[8, 83]	6377
6378	[0, 0, 0, 0, 6378] 0 17573277888	{O} -	2	[10086 : 71047 : 216], [-10737 : 41129 : 729]	7.67744481755762, 7.83824002333025	-	6378
6379	[0, 0, 0, 0, 6379] 0 17578788912	{O} -	0	-	-	-	6379
6380	[0, 0, 0, 0, 6380] 0 366339600	{O} -	1	[2 : 639 : 8]	4.21942226920353	-	6380
6381	[0, 0, 0, 0, 6381] 0 488605932	{O} -	1	[7 : 82 : 1]	3.40846834991701	[7, 82]	6381
6382	[0, 0, 0, 0, 6382] 0 5865109056	{O} -	1	[75906 : 7393825 : 8]	10.5453061573054	-	6382
6383	[0, 0, 0, 0, 6383] 0 17600841648	{O} -	1	[6497 : -523684 : 1]	8.78085178721970	[6497, 523684]	6383
6384	[0, 0, 0, 0, 6384] 0 68774832	{O} -	1	[293369 : -2300717 : 4913]	9.95018743283956	-	6384
6385	[0, 0, 0, 0, 6385] 0 4402968300	{O} -	0	-	-	-	6385
6386	[0, 0, 0, 0, 6386] 0 17617390272	{O} -	0	-	-	-	6386
6387	[0, 0, 0, 0, 6387] 0 17622908208	{O} -	0	-	-	-	6387
6388	[0, 0, 0, 0, 6388] 0 275444172	{O} -	1	[-3266979451955835 : -14693556534545687 : 238155061846625]	25.5070586757717	-	6388
6389	[0, 0, 0, 0, 6389] 0 1469495556	{O} -	0	-	-	-	6389
6390	[0, 0, 0, 0, 6390] 0 1959940800	{O} -	1	[382960996793327393245 : -2992130815737974671151 : 33776417592523687375]	33.4325605489360	-	6390
6391	[0, 0, 0, 0, 6391] 0 5881662864	{O} -	1	[-1084 : 2505 : 64]	5.68237549710417	-	6391
6392	[0, 0, 0, 0, 6392] 0 1103156928	{O} -	1	[2 : 80 : 1]	2.69177445200600	[2, 80]	6392
6393	[0, 0, 0, 0, 6393] 0 4414008492	{O} -	0	-	-	-	6393
6394	[0, 0, 0, 0, 6394] 0 17661557952	{O} -	1	[-54615 : -156727 : 3375]	8.87024590632281	-	6394
6395	[0, 0, 0, 0, 6395] 0 17667082800	{O} -	0	-	-	-	6395
6396	[0, 0, 0, 0, 6396] 0 1104538032	{O} -	2	[10 : 86 : 1], [24242 : 396590 : 4913]	2.74546538172305, 8.36888906481278	[10, 86]	6396
6397	[0, 0, 0, 0, 6397] 0 4419533772	{O} -	1	[3437182124525877 : 29168541991792750 : 48591163118771]	25.4319877941650	-	6397
6398	[0, 0, 0, 0, 6398] 0 5894554176	{O} -	1	[-2305 : 1413 : 125]	6.13926324829073	-	6398
6399	[0, 0, 0, 0, 6399] 0 24265008	{O} -	1	[1 : 80 : 1]	3.38385621603716	[1, 80]	6399
6400	[0, 0, 0, 0, 6400] 0 900	Z/3Z [0, 80]	1	[-16 : 48 : 1]	0.59341039923109	[-16, 48], [-15, 55], [0, 80], [20, 120], [80, 720], [96, 944], [10640, 1097520]	6400
6401	[0, 0, 0, 0, 6401] 0 4425062508	{O} -	2	[-1 : 80 : 1], [47 : 332 : 1]	3.38393428295930, 4.09906899355306	[-1, 80], [47, 332]	6401
6402	[0, 0, 0, 0, 6402] 0 17705780928	{O} -	1	[-16369553674355 : 5470990095611 : 883354319875]	21.8084994429376	-	6402
6403	[0, 0, 0, 0, 6403] 0 17711312688	{O} -	1	[511097738949 : -5212089837352 : 62523502209]	19.9922365624162	-	6403
6404	[0, 0, 0, 0, 6404] 0 276825708	{O} -	1	[1332 : 58366 : 729]	6.85547788737480	-	6404
6405	[0, 0, 0, 0, 6405] 0 4430594700	{O} -	1	[19846221 : 324708308 : 4019679]	13.5338903558407	-	6405
6406	[0, 0, 0, 0, 6406] 0 17727913152	{O} -	0	-	-	-	6406
6407	[0, 0, 0, 0, 6407] 0 5911149456	{O} -	1	[-1724991 : -13857164 : 185193]	11.4988786609122	-	6407
6408	[0, 0, 0, 0, 6408] 0 123187392	{O} -	2	[-18 : 24 : 1], [-2 : 80 : 1]	2.04156461473142, 2.69239759377065	[-18, 24], [-2, 80]	6408
6409	[0, 0, 0, 0, 6409] 0 1478710116	{O} -	2	[35 : 222 : 1], [168 : 2179 : 1]	3.34482241006902, 4.73003303036991	[35, 222], [168, 2179]	6409
6410	[0, 0, 0, 0, 6410] 0 17750059200	{O} -	1	[816647136456463046 : -11504344342105837459 : 141588577874209816]	29.7289533459887	-	6410
6411	[0, 0, 0, 0, 6411] 0 17755597872	{O} -	1	[2930 : 56077 : 8]	7.32082246635474	-	6411
6412	[0, 0, 0, 0, 6412] 0 1110071088	{O} -	1	[157515 : 1109501 : 3375]	9.51011765921028	-	6412
6413	[0, 0, 0, 0, 6413] 0 36708012	{O} -	2	[11 : 88 : 1], [946 : 10307 : 8]	1.85304722866538, 4.65759069636439	[11, 88]	6413
6414	[0, 0, 0, 0, 6414] 0 17772219072	{O} -	0	-	-	-	6414
6415	[0, 0, 0, 0, 6415] 0 17777761200	{O} -	0	-	-	-	6415
6416	[0, 0, 0, 0, 6416] 0 1447209	{O} -	1	[112 : 1188 : 1]	2.88547719233678	[112, 1188]	6416
6417	[0, 0, 0, 0, 6417] 0 494134668	{O} -	0	-	-	-	6417
6418	[0, 0, 0, 0, 6418] 0 5931464256	{O} -	1	[-8310 : 76447 : 1000]	8.01332277954419	-	6418
6419	[0, 0, 0, 0, 6419] 0 363264048	{O} -	1	[-2010 : 16183 : 216]	6.99684018768333	-	6419
6420	[0, 0, 0, 0, 6420] 0 278210700	{O} -	2	[2 : 641 : 8], [98 : 727 : 8]	4.77081163622361, 4.85515370609531	-	6420
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6422	[0, 0, 0, 0, 6422] 0 105423552	{O} -	2	[-13 : 65 : 1], [2455 : 14789 : 125]	1.72490899831545, 6.81461641137914	[-13, 65]	6422
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6425	[0, 0, 0, 0, 6425] 0 59444100	{O} -	1	[211 : 3066 : 1]	4.85682519493650	[211, 3066]	6425
6426	[0, 0, 0, 0, 6426] 0 24470208	{O} -	1	[15 : 99 : 1]	2.04695153750429	[15, 99]	6426
6427	[0, 0, 0, 0, 6427] 0 5948111376	{O} -	3	[-7 : 78 : 1], [-3 : 80 : 1], [1122 : 13303 : 8]	2.85310689292717, 3.38850924154829, 6.41153508840090	[-7, 78], [-3, 80], [108989, 35981064]	6427
6428	[0, 0, 0, 0, 6428] 0 1115617968	{O} -	1	[-2744 : 40555 : 512]	7.55462662782928	-	6428
6429	[0, 0, 0, 0, 6429] 0 4463860428	{O} -	0	-	-	-	6429
6430	[0, 0, 0, 0, 6430] 0 17860996800	{O} -	1	[9697191 : 58904407 : 328509]	12.2588232038498	-	6430
6431	[0, 0, 0, 0, 6431] 0 17866552752	{O} -	2	[-465 : 982 : 27], [6901849142 : 41072272603 : 269586136]	5.66008678969815, 16.6550898641903	-	6431
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6433	[0, 0, 0, 0, 6433] 0 4469416812	{O} -	1	[792 : 22289 : 1]	6.22690723087833	[792, 22289]	6433
6434	[0, 0, 0, 0, 6434] 0 5961075264	{O} -	1	[-17 : 39 : 1]	2.91218830374249	[-17, 39]	6434
6435	[0, 0, 0, 0, 6435] 0 1987642800	{O} -	0	-	-	-	6435
6436	[0, 0, 0, 0, 6436] 0 93199716	{O} -	2	[5 : 81 : 1], [32 : 198 : 1]	2.84867642169184, 2.36497814092800	[5, 81], [32, 198]	6436
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6438	[0, 0, 0, 0, 6438] 0 17905468608	{O} -	1	[84095 : -2181247 : 125]	9.74727365627732	-	6438
6439	[0, 0, 0, 0, 6439] 0 17911031472	{O} -	1	[13637805 : 311586856 : 3869893]	13.5040387010059	-	6439
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6441	[0, 0, 0, 0, 6441] 0 4480539948	{O} -	1	[-8 : 77 : 1]	2.94567630906268	[-8, 77]	6441
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6443	[0, 0, 0, 0, 6443] 0 5977763856	{O} -	1	[866 : 9033 : 8]	5.62775106744824	-	6443
6444	[0, 0, 0, 0, 6444] 0 124575408	{O} -	1	[888573 : 14993155 : 185193]	11.4834339456802	-	6444
6445	[0, 0, 0, 0, 6445] 0 1495368900	{O} -	0	-	-	-	6445
6446	[0, 0, 0, 0, 6446] 0 17949995712	{O} -	1	[-114641056172290 : 564412829227597 : 8729091379000]	23.3019672840632	-	6446
6447	[0, 0, 0, 0, 6447] 0 17955565488	{O} -	1	[6386075356050025922 : -46641039647213288005 : 125590427179587656]	30.4067096536056	-	6447
6448	[0, 0, 0, 0, 6448] 0 70160688	{O} -	1	[16656 : 330617 : 4096]	8.93930310034477	-	6448
6449	[0, 0, 0, 0, 6449] 0 4491676908	{O} -	1	[26 : 155 : 1]	3.25975260287858	[26, 155]	6449
6450	[0, 0, 0, 0, 6450] 0 718891200	{O} -	1	[-491730 : 546227 : 27000]	10.2728783664696	-	6450
6451	[0, 0, 0, 0, 6451] 0 17977853232	{O} -	2	[-54471690 : -455678257 : 6028568], [-91996905 : -499671856 : 7414875]	13.8214938066955, 13.9786153361536	-	6451
6452	[0, 0, 0, 0, 6452] 0 93663684	{O} -	2	[13 : 93 : 1], [-9272 : 11597 : 512]	2.93182569332849, 7.62875178280356	[13, 93]	6452
6453	[0, 0, 0, 0, 6453] 0 6169068	{O} -	1	[36285 : 296072 : 3375]	8.86637943935845	-	6453
6454	[0, 0, 0, 0, 6454] 0 5998192704	{O} -	1	[435 : 9073 : 1]	6.10167964446220	[435, 9073]	6454
6455	[0, 0, 0, 0, 6455] 0 18000154800	{O} -	1	[-133450665619997 : 19646346203596 : 7170076738187]	23.2074181242496	-	6455
6456	[0, 0, 0, 0, 6456] 0 1125358272	{O} -	1	[742 : 20212 : 1]	5.93163794243964	[742, 20212]	6456
6457	[0, 0, 0, 0, 6457] 0 4502827692	{O} -	2	[-6 : 79 : 1], [-18 : 25 : 1]	2.93758439492559, 3.00724783175828	[-18, 25],	6457
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6460	[0, 0, 0, 0, 6460] 0 1126753200	{O} -	0	-	-	-	6460
6461	[0, 0, 0, 0, 6461] 0 1502802756	{O} -	0	-	-	-	6461
6462	[0, 0, 0, 0, 6462] 0 2004357312	{O} -	0	-	-	-	6462
6463	[0, 0, 0, 0, 6463] 0 6014933136	{O} -	1	[-316 : 5097 : 64]	5.61928872676879	-	6463
6464	[0, 0, 0, 0, 6464] 0 1101708	{O} -	2	[-4 : 80 : 1], [380 : 7408 : 1]	2.00675079147932, 4.58404107330309	[-4, 80], [380, 7408]	6464
6465	[0, 0, 0, 0, 6465] 0 4513992300	{O} -	2	[-14 : 61 : 1], [-5138 : 19109 : 343]	2.98110082690707, 6.87922806291038	[-14, 61], [14224, 1696417]	6465
6466	[0, 0, 0, 0, 6466] 0 18061555392	{O} -	1	[4116687 : 32295107 : 68921]	11.7119931394275	-	6466
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6468	[0, 0, 0, 0, 6468] 0 5762988	{O} -	1	[37 : 239 : 1]	3.93155185315545	[37, 239]	6468
6469	[0, 0, 0, 0, 6469] 0 4519579788	{O} -	1	[-10951995 : -28464436 : 658503]	12.3924332028647	-	6469
6470	[0, 0, 0, 0, 6470] 0 6027969600	{O} -	1	[-142 : 237 : 8]	4.30521539610913	-	6470
6471	[0, 0, 0, 0, 6471] 0 2009944368	{O} -	1	[-2375475 : 12229102 : 185193]	11.5222399647029	-	6471
6472	[0, 0, 0, 0, 6472] 0 376981056	{O} -	1	[14 : 96 : 1]	2.25486575860862	[14, 96]	6472
6473	[0, 0, 0, 0, 6473] 0 4525170732	{O} -	0	-	-	-	6473
6474	[0, 0, 0, 0, 6474] 0 18106276032	{O} -	1	[202745 : -1281931 : 12167]	9.81327603108336	-	6474
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6476	[0, 0, 0, 0, 6476] 0 1132341552	{O} -	2	[-10 : 74 : 1], [1982 : 88238 : 1]	2.72671521301645, 6.90449854898026	[-10, 74], [1982, 88238]	6476
6477	[0, 0, 0, 0, 6477] 0 4530765132	{O} -	1	[1458093 : 8663140 : 59319]	11.0215321793796	-	6477
6478	[0, 0, 0, 0, 6478] 0 18128657088	{O} -	2	[51 : 373 : 1], [1446 : 17783 : 216]	4.16149028908571, 6.99440881811857	[51, 373]	6478
6479	[0, 0, 0, 0, 6479] 0 6044751504	{O} -	1	[-46841270 : -1513148783 : 18821096]	14.5570746749258	-	6479
6480	[0, 0, 0, 0, 6480] 0 6075	{O} -	0	-	-	-	6480
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6482	[0, 0, 0, 0, 6482] 0 18151051968	{O} -	1	[-4026 : 559 : 216]	7.05837566561547	-	6482
6483	[0, 0, 0, 0, 6483] 0 18156652848	{O} -	1	[-501 : 262 : 27]	5.67155291784057	-	6483
6484	[0, 0, 0, 0, 6484] 0 283785228	{O} -	0	-	-	-	6484
6485	[0, 0, 0, 0, 6485] 0 4541964300	{O} -	1	[45809 : 564896 : 6859]	9.29999291125827	-	6485
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6487	[0, 0, 0, 0, 6487] 0 18179065008	{O} -	0	-	-	-	6487
6488	[0, 0, 0, 0, 6488] 0 378847296	{O} -	1	[-188 : 5145 : 64]	5.61477558872613	-	6488
6489	[0, 0, 0, 0, 6489] 0 505285452	{O} -	3	[-12 : 69 : 1], [18 : 111 : 1], [58 : 449 : 1]	2.23746923099947, 2.37254759624554, 3.79958252642543	[-12, 69], [18, 111], [30, 183], [58, 449], [120, 1317]	6489
6490	[0, 0, 0, 0, 6490] 0 6065294400	{O} -	1	[-124051 : -164349 : 6859]	8.81099462204487	-	6490
6491	[0, 0, 0, 0, 6491] 0 18201490992	{O} -	1	[-1655 : 8072 : 125]	6.65851461230530	-	6491
6492	[0, 0, 0, 0, 6492] 0 1137943728	{O} -	1	[34 : 214 : 1]	3.18403219209145	[34, 214]	6492
6493	[0, 0, 0, 0, 6493] 0 4553177292	{O} -	0	-	-	-	6493
6494	[0, 0, 0, 0, 6494] 0 18218319552	{O} -	2	[345 : 2501 : 27], [36864833437762 : -247950254687231 : 2534369124104]	5.67682447985485, 22.5475865316862	-	6494
6495	[0, 0, 0, 0, 6495] 0 18223930800	{O} -	0	-	-	-	6495
6496	[0, 0, 0, 0, 6496] 0 71209152	{O} -	2	[9 : 85 : 1], [2742 : 19963 : 216]	3.43223818560432, 7.06198652417678	[9, 85]	6496
6497	[0, 0, 0, 0, 6497] 0 1519596324	{O} -	2	[4 : 81 : 1], [-16 : 49 : 1]	2.38492534806208, 2.99558989566480	[-16, 49], [4, 81]	6497
6498	[0, 0, 0, 0, 6498] 0 5614272	{O} -	1	[80939 : 1971523 : 24389]	10.1284303448601	-	6498
6499	[0, 0, 0, 0, 6499] 0 6082128144	{O} -	3	[33 : 206 : 1], [293 : 5016 : 1], [801 : 22670 : 1]	3.85863209865451, 5.17007098044600, 6.70019126391406	[33, 206], [293, 5016], [801, 22670]	6499
6500	[0, 0, 0, 0, 6500] 0 456300	{O} -	0	-	-	-	6500
6501	[0, 0, 0, 0, 6501] 0 4564404108	{O} -	0	-	-	-	6501
6502	[0, 0, 0, 0, 6502] 0 18263233728	{O} -	1	[16587 : 98567 : 729]	8.05336353501837	-	6502
6503	[0, 0, 0, 0, 6503] 0 18268851888	{O} -	0	-	-	-	6503
6504	[0, 0, 0, 0, 6504] 0 1142154432	{O} -	0	-	-	-	6504
6505	[0, 0, 0, 0, 6505] 0 4570022700	{O} -	1	[-9 : 76 : 1]	3.41594444229023	[-9, 76]	6505
6506	[0, 0, 0, 0, 6506] 0 6095237184	{O} -	1	[669 : 3979 : 27]	5.89630413267537	-	6506
6507	[0, 0, 0, 0, 6507] 0 25090992	{O} -	0	-	-	-	6507
6508	[0, 0, 0, 0, 6508] 0 381186576	{O} -	3	[6 : 82 : 1], [-18 : 26 : 1], [2477 : 123279 : 1]	2.71436407546911, 2.77849873802433, 7.27013300992101	[-18, 26], [6, 82], [2477, 123279]	6508
6509	[0, 0, 0, 0, 6509] 0 4575644748	{O} -	0	-	-	-	6509
6510	[0, 0, 0, 0, 6510] 0 18308203200	{O} -	1	[1055 : 10541 : 125]	6.64618459804628	-	6510
6511	[0, 0, 0, 0, 6511] 0 18313828272	{O} -	1	[-15 : 56 : 1]	3.45177160057413	[-15, 56]	6511
6512	[0, 0, 0, 0, 6512] 0 71560368	{O} -	0	-	-	-	6512
6513	[0, 0, 0, 0, 6513] 0 4581270252	{O} -	3	[16 : 103 : 1], [22 : 131 : 1], [-17 : 40 : 1]	3.06997962387888, 3.18231470262651, 3.46509593492175	[-17, 40], [16, 103], [22, 131], [1483, 57110], [12652, 1423111]	6513
6514	[0, 0, 0, 0, 6514] 0 18330708672	{O} -	2	[1995 : 12857 : 125], [-55450122 : -456575855 : 6028568]	6.75029925423387, 13.8254260375827	-	6514
6515	[0, 0, 0, 0, 6515] 0 6112112400	{O} -	3	[-11 : 72 : 1], [-142 : 243 : 8], [11241 : 73558 : 729]	2.87805338171827, 4.30724664383488, 7.91668151185105	[-11, 72]	6515
6516	[0, 0, 0, 0, 6516] 0 31843692	{O} -	1	[165 : 2121 : 1]	4.44333587993298	[165, 2121]	6516
6517	[0, 0, 0, 0, 6517] 0 636804	{O} -	0	-	-	-	6517
6518	[0, 0, 0, 0, 6518] 0 18353227968	{O} -	1	[261698 : -3244231 : 39304]	10.4652942919566	-	6518
6519	[0, 0, 0, 0, 6519] 0 18358859952	{O} -	1	[2284532841332546797 : 24296340839894559736 : 20290348245005749]	29.8589685561347	-	6519
6520	[0, 0, 0, 0, 6520] 0 1147780800	{O} -	1	[-33618 : 119068 : 2197]	7.89090297209841	-	6520
6521	[0, 0, 0, 0, 6521] 0 4592531628	{O} -	1	[-7702800 : -8790031 : 421875]	11.6468720153537	-	6521
6522	[0, 0, 0, 0, 6522] 0 18375761088	{O} -	0	-	-	-	6522
6523	[0, 0, 0, 0, 6523] 0 18381396528	{O} -	0	-	-	-	6523
6524	[0, 0, 0, 0, 6524] 0 383063184	{O} -	1	[170 : 2218 : 1]	4.51041512545614	[170, 2218]	6524
6525	[0, 0, 0, 0, 6525] 0 20436300	{O} -	1	[-5 : 80 : 1]	2.32639241783598	[-5, 80]	6525
6526	[0, 0, 0, 0, 6526] 0 6132769344	{O} -	1	[6664 : 47841 : 512]	7.09400727473661	-	6526
6527	[0, 0, 0, 0, 6527] 0 18403946928	{O} -	1	[239681 : -2509714 : 2197]	9.92806373686258	-	6527
6528	[0, 0, 0, 0, 6528] 0 4494528	{O} -	1	[70196 : 997400 : 12167]	8.29171665229353	-	6528
6529	[0, 0, 0, 0, 6529] 0 4603806828	{O} -	0	-	-	-	6529
6530	[0, 0, 0, 0, 6530] 0 18420868800	{O} -	2	[-62 : 623 : 8], [-655047232 : 7047526921 : 89915392]	4.79727399231175, 15.6184126777673	-	6530
6531	[0, 0, 0, 0, 6531] 0 18426511152	{O} -	0	-	-	-	6531
6532	[0, 0, 0, 0, 6532] 0 288002412	{O} -	1	[876 : 5446 : 27]	5.12185063263859	-	6532
6533	[0, 0, 0, 0, 6533] 0 1536483204	{O} -	0	-	-	-	6533
6534	[0, 0, 0, 0, 6534] 0 69696	{O} -	1	[3 : 81 : 1]	1.74673696310618	[3, 81]	6534
6535	[0, 0, 0, 0, 6535] 0 6149696400	{O} -	1	[-6643 : 177228 : 2197]	7.97467273984131	-	6535
6536	[0, 0, 0, 0, 6536] 0 1153420992	{O} -	1	[17 : 107 : 1]	3.55051070334465	[17, 107]	6536
6537	[0, 0, 0, 0, 6537] 0 4615095852	{O} -	0	-	-	-	6537
6538	[0, 0, 0, 0, 6538] 0 18466031808	{O} -	1	[-888100365051 : -1179446146733 : 48987720179]	19.8837604629904	-	6538
6539	[0, 0, 0, 0, 6539] 0 18471681072	{O} -	0	-	-	-	6539
6540	[0, 0, 0, 0, 6540] 0 1154833200	{O} -	0	-	-	-	6540
6541	[0, 0, 0, 0, 6541] 0 4620745548	{O} -	1	[-14223 : 97088 : 1331]	8.22260883418561	-	6541
6542	[0, 0, 0, 0, 6542] 0 6162878016	{O} -	1	[-1614848326 : -114015361 : 86350888]	15.6605805776383	-	6542
6543	[0, 0, 0, 0, 6543] 0 2054920752	{O} -	0	-	-	-	6543
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6545	[0, 0, 0, 0, 6545] 0 4626398700	{O} -	0	-	-	-	6545
6546	[0, 0, 0, 0, 6546] 0 18511250112	{O} -	1	[7 : 83 : 1]	3.41651145068871	[7, 83]	6546
6547	[0, 0, 0, 0, 6547] 0 18516906288	{O} -	1	[3530802 : 26348435 : 287496]	11.8540080815595	-	6547
6548	[0, 0, 0, 0, 6548] 0 289415052	{O} -	1	[-1895 : 6919 : 125]	6.67339051482822	-	6548
6549	[0, 0, 0, 0, 6549] 0 4632055308	{O} -	1	[1817024219150630471436 : 50431823202710273618377 : 2358734351549913792]	34.8648737480975	-	6549
6550	[0, 0, 0, 0, 6550] 0 741355200	{O} -	1	[-705 : 9977 : 125]	6.62181059908870	-	6550
6551	[0, 0, 0, 0, 6551] 0 6179846544	{O} -	1	[130 : 833 : 8]	4.92410702781610	-	6551
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6553	[0, 0, 0, 0, 6553] 0 1545905124	{O} -	2	[2 : 81 : 1], [-13 : 66 : 1]	2.38177737863862, 2.89175946425054	[-13, 66], [2, 81], [12, 91]	6553
6554	[0, 0, 0, 0, 6554] 0 18556523712	{O} -	1	[314938 : -1949849 : 17576]	10.0839741073538	-	6554
6555	[0, 0, 0, 0, 6555] 0 18562186800	{O} -	1	[3 : 2186 : 27]	5.58865593341961	-	6555
6556	[0, 0, 0, 0, 6556] 0 1160490672	{O} -	1	[656191011 : 5558881175 : 63521199]	15.4276745992749	-	6556
6557	[0, 0, 0, 0, 6557] 0 4643378892	{O} -	1	[1250038983287820 : 7496389708951393 : 60144136632000]	24.7738683419752	-	6557
6558	[0, 0, 0, 0, 6558] 0 18579181248	{O} -	0	-	-	-	6558
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6560	[0, 0, 0, 0, 6560] 0 24206400	{O} -	1	[1 : 81 : 1]	2.84282538210227	[1, 81]	6560
6561	[0, 0, 0, 0, 6561] 0 972	Z/3Z [0, 81]	1	[-18 : 27 : 1]	0.81469544056682	[-18, 27], [0, 81], [27, 162], [54, 405], [360, 6831]	6561
6562	[0, 0, 0, 0, 6562] 0 6200617536	{O} -	1	[-1 : 81 : 1]	2.84290153427533	[-1, 81]	6562
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6574	[0, 0, 0, 0, 6574] 0 18669949632	{O} -	1	[43924350 : -715594187 : 8741816]	14.0607490520005	-	6574
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6582	[0, 0, 0, 0, 6582] 0 18715416768	{O} -	1	[259 : 4169 : 1]	5.60137772982639	[259, 4169]	6582
6583	[0, 0, 0, 0, 6583] 0 18721104048	{O} -	1	[13787754 : -86886137 : 405224]	12.4874858268566	-	6583
6584	[0, 0, 0, 0, 6584] 0 1170424512	{O} -	2	[-7 : 79 : 1], [4919108950 : 39866946068 : 76765625]	3.41020821559299, 15.7537140772114	[-7, 79]	6584
6585	[0, 0, 0, 0, 6585] 0 4683120300	{O} -	1	[3018207 : -19347004 : 185193]	11.6259808810880	-	6585
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6587	[0, 0, 0, 0, 6587] 0 6247953936	{O} -	1	[29 : 176 : 1]	3.78399936354113	[29, 176]	6587
6588	[0, 0, 0, 0, 6588] 0 535824	{O} -	2	[-3 : 81 : 1], [-14 : 62 : 1]	1.74878104538520, 2.75577675289264	[-14, 62], [-3, 81], [186, 2538]	6588
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6590	[0, 0, 0, 0, 6590] 0 18760939200	{O} -	1	[11 : 89 : 1]	3.45944966856115	[11, 89]	6590
6591	[0, 0, 0, 0, 6591] 0 657072	{O} -	1	[909391 : 24468586 : 300763]	11.8069802727159	-	6591
6592	[0, 0, 0, 0, 6592] 0 4583088	{O} -	1	[156 : 2224 : 27]	4.22114032161449	-	6592
6593	[0, 0, 0, 0, 6593] 0 4694506092	{O} -	1	[70477 : 524104 : 1331]	8.98741366220103	-	6593
6594	[0, 0, 0, 0, 6594] 0 18783721152	{O} -	2	[-17 : 41 : 1], [-270745941656271065 : 3682324001843195477 : 46061733106194625]	3.46874593660215, 28.9852062072147	[-17, 41]	6594
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6600	[0, 0, 0, 0, 6600] 0 47044800	{O} -	0	-	-	-	6600
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6607	[0, 0, 0, 0, 6607] 0 6285952656	{O} -	1	[107470507637921 : -653995219987536 : 3658671062929]	22.5277953584398	-	6607
6608	[0, 0, 0, 0, 6608] 0 4605363	{O} -	1	[116 : 1252 : 1]	3.46729129119966	[116, 1252]	6608
6609	[0, 0, 0, 0, 6609] 0 4717319148	{O} -	2	[28 : 169 : 1], [12 : 2195 : 27]	3.30293515074926, 5.12937446881349	[28, 169]	6609
6610	[0, 0, 0, 0, 6610] 0 18874987200	{O} -	1	[-2793540 : 14403761 : 216000]	11.6320015784230	-	6610
6611	[0, 0, 0, 0, 6611] 0 18880698672	{O} -	0	-	-	-	6611
6612	[0, 0, 0, 0, 6612] 0 295100172	{O} -	1	[247737 : 1486225 : 9261]	9.82969314888884	-	6612
6613	[0, 0, 0, 0, 6613] 0 4723031052	{O} -	1	[108449151 : -947496370 : 1442897]	13.9297202735461	-	6613
6614	[0, 0, 0, 0, 6614] 0 6299279424	{O} -	1	[-682040268089883770 : 2046096629037173559 : 42099883473080152]	28.4342380828822	-	6614
6615	[0, 0, 0, 0, 6615] 0 529200	{O} -	1	[21 : 126 : 1]	0.86585903545890	[21, 126]	6615
6616	[0, 0, 0, 0, 6616] 0 393943104	{O} -	3	[-6 : 80 : 1], [-18 : 28 : 1], [362 : 6888 : 1]	2.71445040245468, 2.78331365984907, 4.68110309706938	[-18, 28], [-6, 80], [105, 1079], [362, 6888], [494, 10980]	6616
6617	[0, 0, 0, 0, 6617] 0 4728746412	{O} -	0	-	-	-	6617
6618	[0, 0, 0, 0, 6618] 0 18920703168	{O} -	1	[1060018 : -6366139 : 39304]	10.7978111842552	-	6618
6619	[0, 0, 0, 0, 6619] 0 18926421552	{O} -	1	[-1649867401088760 : 18356539994611121 : 232018842747392]	25.4643038554731	-	6619
6620	[0, 0, 0, 0, 6620] 0 1183258800	{O} -	2	[146 : 1766 : 1], [-24266 : 31502 : 1331]	4.36981502966844, 7.58085079336024	[146, 1766]	6620
6621	[0, 0, 0, 0, 6621] 0 4734465228	{O} -	1	[-12660 : 136367 : 1728]	8.38328681884966	-	6621
6622	[0, 0, 0, 0, 6622] 0 18943581888	{O} -	0	-	-	-	6622
6623	[0, 0, 0, 0, 6623] 0 6316434576	{O} -	1	[1211519 : -9408420 : 103823]	10.6205290359377	-	6623
6624	[0, 0, 0, 0, 6624] 0 8227008	{O} -	2	[-15 : 57 : 1], [73 : 629 : 1]	2.72454242643837, 4.45055807744714	[-15, 57], [73, 629], [21201, 3086985]	6624
6625	[0, 0, 0, 0, 6625] 0 2528100	{O} -	2	[-10 : 75 : 1], [-4 : 81 : 1]	0.80618904633625, 2.38974572149258	[-10, 75], [-4, 81], [15, 100], [24, 143], [44, 303], [690, 18125]	6625
6626	[0, 0, 0, 0, 6626] 0 18966474432	{O} -	1	[16695 : 99521 : 729]	8.05974725585886	-	6626
6627	[0, 0, 0, 0, 6627] 0 8588592	{O} -	0	-	-	-	6627
6628	[0, 0, 0, 0, 6628] 0 296530092	{O} -	2	[-12 : 70 : 1], [-727860 : 1786142 : 42875]	2.51433995683454, 9.65660721286387	[-12, 70]	6628
6629	[0, 0, 0, 0, 6629] 0 4745913228	{O} -	1	[-11327835 : -25828244 : 658503]	12.4034799435318	-	6629
6630	[0, 0, 0, 0, 6630] 0 18989380800	{O} -	0	-	-	-	6630
6631	[0, 0, 0, 0, 6631] 0 18995109552	{O} -	2	[-2730 : 14669 : 216], [4648770 : -131250563 : 5832]	7.02601774056960, 12.4762385227535	-	6631
6632	[0, 0, 0, 0, 6632] 0 395850816	{O} -	1	[38 : 248 : 1]	3.25897909159779	[38, 248]	6632
6633	[0, 0, 0, 0, 6633] 0 527960268	{O} -	0	-	-	-	6633
6634	[0, 0, 0, 0, 6634] 0 6337433664	{O} -	1	[-30 : 649 : 8]	4.78718558349342	-	6634
6635	[0, 0, 0, 0, 6635] 0 19018033200	{O} -	1	[21133818580 : -126121051169 : 941192000]	17.4319076772985	-	6635
6636	[0, 0, 0, 0, 6636] 0 1188985392	{O} -	1	[-3766946 : -29442314 : 389017]	11.3136238100528	-	6636
6637	[0, 0, 0, 0, 6637] 0 4757375052	{O} -	2	[114 : 781 : 8], [1230789 : 9460424 : 103823]	4.89408246513344, 11.1729144037558	[6183, 486182]	6637
6638	[0, 0, 0, 0, 6638] 0 19035235008	{O} -	0	-	-	-	6638
6639	[0, 0, 0, 0, 6639] 0 19040970672	{O} -	2	[13 : 94 : 1], [288016 : 2438105 : 4096]	3.48882551904442, 9.96465316528960	[13, 94]	6639
6640	[0, 0, 0, 0, 6640] 0 74401200	{O} -	0	-	-	-	6640
6641	[0, 0, 0, 0, 6641] 0 1587703716	{O} -	2	[20 : 121 : 1], [82 : 747 : 1]	3.14746636255298, 3.53765121571591	[20, 121], [82, 747], [94, 915]	6641
6642	[0, 0, 0, 0, 6642] 0 26142912	{O} -	1	[583 : 14077 : 1]	6.38802144643281	[583, 14077]	6642
6643	[0, 0, 0, 0, 6643] 0 6354640656	{O} -	1	[1906 : 29427 : 8]	6.35889719062690	-	6643
6644	[0, 0, 0, 0, 6644] 0 297963468	{O} -	0	-	-	-	6644
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6647	[0, 0, 0, 0, 6647] 0 66044592	{O} -	1	[13391 : 88220 : 343]	7.86243846180304	-	6647
6648	[0, 0, 0, 0, 6648] 0 1193289408	{O} -	0	-	-	-	6648
6649	[0, 0, 0, 0, 6649] 0 4774593708	{O} -	1	[1271808 : -10348415 : 19683]	10.4796315039978	-	6649
6650	[0, 0, 0, 0, 6650] 0 254721600	{O} -	0	-	-	-	6650
6651	[0, 0, 0, 0, 6651] 0 2123318448	{O} -	2	[57 : 438 : 1], [249 : 3930 : 1]	3.51725833191787, 4.83154924962452	[57, 438], [249, 3930]	6651
6652	[0, 0, 0, 0, 6652] 0 398241936	{O} -	1	[122 : 1350 : 1]	3.65681435511715	[122, 1350]	6652
6653	[0, 0, 0, 0, 6653] 0 4780340172	{O} -	2	[226 : 1367 : 8], [2304015276359 : -13820147204068 : 86879445589]	5.15719765530931, 20.5289613211599	-	6653
6654	[0, 0, 0, 0, 6654] 0 19127109312	{O} -	1	[-124849039363111 : -303769147247557 : 7331911607483]	23.2204485177734	-	6654
6655	[0, 0, 0, 0, 6655] 0 1306800	{O} -	1	[3927 : 30976 : 343]	4.96192974023838	-	6655
6656	[0, 0, 0, 0, 6656] 0 292032	{O} -	0	-	-	-	6656
6657	[0, 0, 0, 0, 6657] 0 4786090092	{O} -	1	[-3306 : 11971 : 216]	7.04393698434552	-	6657
6658	[0, 0, 0, 0, 6658] 0 19150112448	{O} -	2	[-9 : 77 : 1], [-1578 : 17101 : 216]	3.42333533227430, 6.99869471330281	[-9, 77], [8511, 785183]	6658
6659	[0, 0, 0, 0, 6659] 0 6385288464	{O} -	1	[133 : 1536 : 1]	4.42838243535383	[133, 1536]	6659
6660	[0, 0, 0, 0, 6660] 0 33266700	{O} -	2	[6 : 76 : 1], [1227 : 8513 : 27]	2.66406487435454, 6.25922569213206	[6, 76]	6660
6661	[0, 0, 0, 0, 6661] 0 1597281156	{O} -	0	-	-	-	6661
6662	[0, 0, 0, 0, 6662] 0 19173129408	{O} -	1	[678022532 : 9401551147 : 113379904]	15.7790459226202	-	6662
6663	[0, 0, 0, 0, 6663] 0 19178885808	{O} -	1	[-87745811957701755260988700878 : -558754065923644354617916685351 : 7742853046233899104429307592]	46.2473217949905	-	6663
6664	[0, 0, 0, 0, 6664] 0 24470208	{O} -	1	[3930 : 24284 : 125]	6.35818674126754	-	6664
6665	[0, 0, 0, 0, 6665] 0 4797600300	{O} -	1	[14 : 97 : 1]	3.04286658952869	[14, 97]	6665
6666	[0, 0, 0, 0, 6666] 0 19196160192	{O} -	0	-	-	-	6666
6667	[0, 0, 0, 0, 6667] 0 19201920048	{O} -	2	[9 : 86 : 1], [5478 : 32743 : 216]	3.44010134521247, 7.29822448387079	[9, 86]	6667
6668	[0, 0, 0, 0, 6668] 0 400160016	{O} -	1	[-14 : 653 : 8]	4.78467998496011	-	6668
6669	[0, 0, 0, 0, 6669] 0 6588972	{O} -	0	-	-	-	6669
6670	[0, 0, 0, 0, 6670] 0 6406401600	{O} -	1	[8816867 : 52642863 : 389017]	11.6935016422139	-	6670
6671	[0, 0, 0, 0, 6671] 0 19224968112	{O} -	1	[56651 : 728594 : 343]	9.06903532490704	-	6671
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6675	[0, 0, 0, 0, 6675] 0 769921200	{O} -	1	[1591457294072460067272222 : -9578013448284128345396653 : 76455213999634240038072]	38.7535223070026	-	6675
6676	[0, 0, 0, 0, 6676] 0 300840588	{O} -	1	[-269024504251711585833 : -4609876350127651555055 : 56872389411014506883]	33.7308310564367	-	6676
6677	[0, 0, 0, 0, 6677] 0 1604963844	{O} -	2	[-17 : 42 : 1], [-15590 : 53739 : 1000]	2.92313616399563, 7.51902643665963	[-17, 42], [4643, 316372]	6677
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6681	[0, 0, 0, 0, 6681] 0 4820662188	{O} -	2	[55 : 416 : 1], [-94 : 569 : 8]	4.22203090679484, 4.82583029749556	[55, 416]	6681
6682	[0, 0, 0, 0, 6682] 0 19288421568	{O} -	1	[33579 : 222455 : 2197]	8.65613252527898	-	6682
6683	[0, 0, 0, 0, 6683] 0 19294195248	{O} -	0	-	-	-	6683
6684	[0, 0, 0, 0, 6684] 0 1206248112	{O} -	0	-	-	-	6684
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6686	[0, 0, 0, 0, 6686] 0 6437173824	{O} -	3	[-5 : 81 : 1], [-13 : 67 : 1], [7833 : 133435 : 27]	2.85802921942335, 3.44723017612593, 7.90746095461876	[-13, 67], [-5, 81]	6686
6687	[0, 0, 0, 0, 6687] 0 2146366512	{O} -	1	[-67806 : -417115 : 5832]	9.21983913666285	-	6687
6688	[0, 0, 0, 0, 6688] 0 25160256	{O} -	1	[-501 : 467 : 27]	5.68061442877409	-	6688
6689	[0, 0, 0, 0, 6689] 0 4832213868	{O} -	0	-	-	-	6689
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6697	[0, 0, 0, 0, 6697] 0 1614593124	{O} -	2	[-16 : 51 : 1], [3 : 82 : 1]	2.45532559797805, 3.40279614549612	[-16, 51], [3, 82], [62, 495]	6697
6698	[0, 0, 0, 0, 6698] 0 19380904128	{O} -	1	[385710969500408243 : 2386233623847979241 : 12228838770353869]	28.5301066427271	-	6698
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6838	[0, 0, 0, 0, 6838] 0 20199561408	{O} -	0	-	-	-	6838
6839	[0, 0, 0, 0, 6839] 0 6735156624	{O} -	1	[1250 : 15639 : 8]	5.96337892572510	-	6839
6840	[0, 0, 0, 0, 6840] 0 140356800	{O} -	2	[6 : 84 : 1], [-14 : 64 : 1]	1.99790192272412, 2.76719350781979	[-14, 64], [6, 84], [9, 87], [3234, 183912]	6840
6841	[0, 0, 0, 0, 6841] 0 1684774116	{O} -	0	-	-	-	6841
6842	[0, 0, 0, 0, 6842] 0 20223200448	{O} -	1	[58896391 : -394758289 : 1442897]	13.4589542243692	-	6842
6843	[0, 0, 0, 0, 6843] 0 20229112368	{O} -	1	x[-1148 : 2095 : 64]	6.25851513882894	-	6843
6844	[0, 0, 0, 0, 6844] 0 1264689072	{O} -	1	[45 : 313 : 1]	4.07320337395273	[45, 313]	6844
6845	[0, 0, 0, 0, 6845] 0 3696300	{O} -	1	[-31679153180 : 71146733371 : 1815848000]	17.6959531410290	-	6845
6846	[0, 0, 0, 0, 6846] 0 20246853312	{O} -	0	-	-	-	6846
6847	[0, 0, 0, 0, 6847] 0 20252768688	{O} -	2	[399 : 2710 : 27], [768360 : -5927323 : 64000]	5.72137886358848, 10.8611251025983	-	6847
6848	[0, 0, 0, 0, 6848] 0 1648656	{O} -	1	[52 : 384 : 1]	2.24509336669847	[52, 384]	6848
6849	[0, 0, 0, 0, 6849] 0 562905612	{O} -	2	[-5 : 82 : 1], [-17 : 44 : 1]	3.41522733365659, 3.47996576896803	[-17, 44], [-5, 82]	6849
6850	[0, 0, 0, 0, 6850] 0 270273600	{O} -	0	-	-	-	6850
6851	[0, 0, 0, 0, 6851] 0 20276438832	{O} -	1	[-356928170144 : 1528357617359 : 24693014528]	19.4168547769575	-	6851
6852	[0, 0, 0, 0, 6852] 0 316911852	{O} -	2	[109 : 1141 : 1], [444 : 2870 : 27]	4.79913999508478, 4.82494630920304	[109, 1141]	6852
6853	[0, 0, 0, 0, 6853] 0 5072069772	{O} -	0	-	-	-	6853
6854	[0, 0, 0, 0, 6854] 0 20294200512	{O} -	2	[35 : 223 : 1], [49890956000 : 559080315713 : 398688256]	3.90217635754883, 18.1256520604206	[35, 223]	6854
6855	[0, 0, 0, 0, 6855] 0 20300122800	{O} -	0	-	-	-	6855
6856	[0, 0, 0, 0, 6856] 0 1269127872	{O} -	4	[-18 : 32 : 1], [30 : 184 : 1], [-15 : 59 : 1], [942 : 28912 : 1]	2.79375331384433, 3.11585874836246, 3.46732487627628, 6.16726222359003	[-18, 32], [-15, 59], [30, 184], [114, 1220], [942, 28912], [27564105, 144715764559]	6856
6857	[0, 0, 0, 0, 6857] 0 1692664164	{O} -	0	-	-	-	6857
6858	[0, 0, 0, 0, 6858] 0 27870912	{O} -	1	[1623 : 65385 : 1]	5.93441490784453	[1623, 65385]	6858
6859	[0, 0, 0, 0, 6859] 0 51984	Z/2Z [-19, 0]	1	[4484 : 37905 : 64]	3.69718535309909	[-19, 0]	6859
6860	[0, 0, 0, 0, 6860] 0 529200	{O} -	1	[14 : 98 : 1]	0.87344687053216	[-19, 1], [14, 98]	6860
6861	[0, 0, 0, 0, 6861] 0 5083918668	{O} -	0	-	-	-	6861
6862	[0, 0, 0, 0, 6862] 0 20341603008	{O} -	1	[3 : 83 : 1]	3.41083865037038	[3, 83]	6862
6863	[0, 0, 0, 0, 6863] 0 20347532208	{O} -	2	[-19 : 2 : 1], [29474747 : -297977794 : 3442951]	3.49391452315381, 13.4791969540225	[-19, 2]	6863
6864	[0, 0, 0, 0, 6864] 0 4969107	{O} -	0	-	-	-	6864
6865	[0, 0, 0, 0, 6865] 0 5089848300	{O} -	1	[858 : 5329 : 27]	5.57795569817672	-	6865
6866	[0, 0, 0, 0, 6866] 0 6788441664	{O} -	1	[-1119354040 : -1276472877 : 60236288]	14.8844481999991	-	6866
6867	[0, 0, 0, 0, 6867] 0 2263473072	{O} -	0	-	-	-	6867
6868	[0, 0, 0, 0, 6868] 0 106131204	{O} -	2	[-19 : 3 : 1], [21 : 127 : 1]	2.94481999776138, 3.63542418083336	[-19, 3], [21, 127]	6868
6869	[0, 0, 0, 0, 6869] 0 5095781388	{O} -	2	[597 : 3590 : 27], [358146 : 2847923 : 5832]	5.85393487025801, 10.0918160924301	-	6869
6870	[0, 0, 0, 0, 6870] 0 20389060800	{O} -	1	[-10672910655937017793 : 67801787360451192697 : 927352836922502717]	31.0275591398200	-	6870
6871	[0, 0, 0, 0, 6871] 0 20394996912	{O} -	1	[-40358116134 : 370388258245 : 4691010024]	18.2773280351025	-	6871
6872	[0, 0, 0, 0, 6872] 0 1275058368	{O} -	0	-	-	-	6872
6873	[0, 0, 0, 0, 6873] 0 5101717932	{O} -	1	[76557 : 4076576 : 27]	10.1513025739821	-	6873
6874	[0, 0, 0, 0, 6874] 0 20412810432	{O} -	0	-	-	-	6874
6875	[0, 0, 0, 0, 6875] 0 435600	{O} -	2	[25 : 150 : 1], [-19 : 4 : 1]	1.01762361052223, 3.49442216514410	[-19, 4], [25, 150], [125, 1400]	6875
6876	[0, 0, 0, 0, 6876] 0 141838128	{O} -	1	[8330 : 68786 : 125]	6.90302462982125	-	6876
6877	[0, 0, 0, 0, 6877] 0 3218436	{O} -	1	[23 : 138 : 1]	1.03444098739136	[23, 138]	6877
6878	[0, 0, 0, 0, 6878] 0 20436573888	{O} -	1	[13013 : 85051 : 343]	7.84689707714002	-	6878
6879	[0, 0, 0, 0, 6879] 0 20442516912	{O} -	1	[145 : 1748 : 1]	5.05767543907799	[145, 1748]	6879
6880	[0, 0, 0, 0, 6880] 0 79876800	{O} -	1	[-296531080431651699 : -963021155268075239 : 18445991140865861]	28.4443528688023	-	6880
6881	[0, 0, 0, 0, 6881] 0 5113601388	{O} -	1	[2 : 83 : 1]	2.94730279788019	[2, 83]	6881
6882	[0, 0, 0, 0, 6882] 0 20460351168	{O} -	2	[7 : 85 : 1], [1494395 : 163396633 : 125]	3.43230573879828, 12.6087726138412	[7, 85]	6882
6883	[0, 0, 0, 0, 6883] 0 20466297648	{O} -	0	-	-	-	6883
6884	[0, 0, 0, 0, 6884] 0 106626276	{O} -	2	[8 : 86 : 1], [-19 : 5 : 1]	2.51630091754141, 3.49480234964652	[-19, 5], [8, 86], [20, 122]	6884
6885	[0, 0, 0, 0, 6885] 0 7022700	{O} -	0	-	-	-	6885
6886	[0, 0, 0, 0, 6886] 0 6828047424	{O} -	1	[27 : 163 : 1]	3.75195410117926	[27, 163]	6886
6887	[0, 0, 0, 0, 6887] 0 20490092208	{O} -	1	[38570619392802234075 : 237779785810069824034 : 2022245023520109375]	31.7003957749202	-	6887
6888	[0, 0, 0, 0, 6888] 0 1281002688	{O} -	1	[1 : 83 : 1]	3.40838026911641	[1, 83]	6888
6889	[0, 0, 0, 0, 6889] 0 744012	Z/3Z [0, 83]	1	[-7524 : 109015 : 1331]	7.75313957206278	[0, 83]	6889
6890	[0, 0, 0, 0, 6890] 0 20507947200	{O} -	2	[-1 : 83 : 1], [2468264327788 : 14813058371051 : 107036556992]	3.40845279722002, 20.6065437524510	[-1, 83]	6890
6891	[0, 0, 0, 0, 6891] 0 20513900592	{O} -	0	-	-	-	6891
6892	[0, 0, 0, 0, 6892] 0 1282490928	{O} -	0	-	-	-	6892
6893	[0, 0, 0, 0, 6893] 0 1710484164	{O} -	0	-	-	-	6893
6894	[0, 0, 0, 0, 6894] 0 2281307328	{O} -	0	-	-	-	6894
6895	[0, 0, 0, 0, 6895] 0 6845907600	{O} -	1	[-19 : 6 : 1]	2.94596024044655	[-19, 6]	6895
6896	[0, 0, 0, 0, 6896] 0 80248752	{O} -	1	[31508685 : -192926843 : 1601613]	13.1356320261949	-	6896
6897	[0, 0, 0, 0, 6897] 0 42457932	{O} -	1	[-2 : 83 : 1]	2.94788179001257	[-2, 83]	6897
6898	[0, 0, 0, 0, 6898] 0 20555598528	{O} -	1	[2346940134810 : -17030766576031 : 47045881000]	20.5327986042198	-	6898
6899	[0, 0, 0, 0, 6899] 0 20561558832	{O} -	2	[18760 : 121259 : 512], [7188287925 : -43116216362 : 299418309]	8.09135424245171, 16.7057431044924	-	6899
6900	[0, 0, 0, 0, 6900] 0 12854700	{O} -	0	-	-	-	6900
6901	[0, 0, 0, 0, 6901] 0 5143370508	{O} -	1	[60703333938405 : -379856947177288 : 3352773969063]	22.8099516907082	-	6901
6902	[0, 0, 0, 0, 6902] 0 6859814976	{O} -	1	[-892 : 4145 : 64]	6.23529081747475	-	6902
6903	[0, 0, 0, 0, 6903] 0 2287267632	{O} -	1	[9857409 : -60503282 : 328509]	12.2783188664639	-	6903
6904	[0, 0, 0, 0, 6904] 0 428986944	{O} -	1	[-7 : 81 : 1]	2.87624019840717	[-7, 81]	6904
6905	[0, 0, 0, 0, 6905] 0 5149334700	{O} -	2	[-16 : 53 : 1], [71 : 604 : 1]	3.01376717717307, 4.42973343976569	[-16, 53], [71, 604]	6905
6906	[0, 0, 0, 0, 6906] 0 20603305152	{O} -	1	[1519061111438488196249054118385 : -10333365378268282441749500803283 : 35793795964447738364698093375]	47.8640008456360	-	6906
6907	[0, 0, 0, 0, 6907] 0 20609272368	{O} -	1	[9365196 : -689451065 : 1728]	13.5697653000205	-	6907
6908	[0, 0, 0, 0, 6908] 0 1288452528	{O} -	2	[-19 : 7 : 1], [58092927 : 1215758971 : 132651]	3.49581389241659, 13.9724855985880	[-19, 7]	6908
6909	[0, 0, 0, 0, 6909] 0 105210252	{O} -	1	[-375 : 1756 : 27]	5.65993606885181	-	6909
6910	[0, 0, 0, 0, 6910] 0 20627179200	{O} -	0	-	-	-	6910
6911	[0, 0, 0, 0, 6911] 0 6877716624	{O} -	1	[82 : 715 : 8]	4.85059000820367	-	6911
6912	[0, 0, 0, 0, 6912] 0 432	{O} -	1	[24 : 144 : 1]	0.15010689521329	[-12, 72], [-8, 80], [24, 144], [33, 207], [1464, 56016]	6912
6913	[0, 0, 0, 0, 6913] 0 1720424484	{O} -	0	-	-	-	6913
6914	[0, 0, 0, 0, 6914] 0 20651067072	{O} -	1	[-77083 : -508429 : 6859]	9.33615301736496	-	6914
6915	[0, 0, 0, 0, 6915] 0 20657041200	{O} -	1	[1294167233358 : -9811321203817 : 23442767928]	20.1460337710049	-	6915
6916	[0, 0, 0, 0, 6916] 0 322859628	{O} -	2	[-3 : 83 : 1], [144 : 1730 : 1]	3.41278582132467, 4.12727134543534	[-3, 83], [144, 1730]	6916
6917	[0, 0, 0, 0, 6917] 0 5167248012	{O} -	1	[-16390 : 50141 : 1000]	8.08407892511763	-	6917
6918	[0, 0, 0, 0, 6918] 0 20674968768	{O} -	0	-	-	-	6918
6919	[0, 0, 0, 0, 6919] 0 20680946352	{O} -	0	-	-	-	6919
6920	[0, 0, 0, 0, 6920] 0 430977600	{O} -	1	[-2170 : 5136 : 125]	5.46180946807162	-	6920
6921	[0, 0, 0, 0, 6921] 0 574802892	{O} -	3	[-18 : 33 : 1], [10 : 89 : 1], [34 : 215 : 1]	2.29516222037816, 2.99982094326697, 3.42302534176682	[-18, 33], [10, 89], [12, 93], [34, 215], [150, 1839], [8259, 750570]	6921
6922	[0, 0, 0, 0, 6922] 0 6899628096	{O} -	1	[4367344401 : 577185400709 : 250047]	18.0549573207734	-	6922
6923	[0, 0, 0, 0, 6923] 0 20704865328	{O} -	1	[-19 : 8 : 1]	3.49644442815920	[-19, 8]	6923
6924	[0, 0, 0, 0, 6924] 0 1294427952	{O} -	1	[230 : 10406 : 125]	5.93691730168809	-	6924
6925	[0, 0, 0, 0, 6925] 0 207168300	{O} -	1	[-85029 : 726326 : 9261]	9.52580311622612	-	6925
6926	[0, 0, 0, 0, 6926] 0 20722813632	{O} -	0	-	-	-	6926
6927	[0, 0, 0, 0, 6927] 0 20728798128	{O} -	0	-	-	-	6927
6928	[0, 0, 0, 0, 6928] 0 5062203	{O} -	0	-	-	-	6928
6929	[0, 0, 0, 0, 6929] 0 10227204	{O} -	2	[16 : 105 : 1], [-10 : 77 : 1]	2.53569474081390, 2.97908622148245	[-10, 77], [16, 105], [43, 294]	6929
6930	[0, 0, 0, 0, 6930] 0 2305195200	{O} -	1	[-73420 : 627733 : 8000]	9.42843243689531	-	6930
6931	[0, 0, 0, 0, 6931] 0 6917581584	{O} -	1	[5 : 84 : 1]	2.87273200884472	[5, 84]	6931
6932	[0, 0, 0, 0, 6932] 0 324355212	{O} -	0	-	-	-	6932
6933	[0, 0, 0, 0, 6933] 0 5191180812	{O} -	2	[-94 : 583 : 8], [271 : 4462 : 1]	4.83733254784829, 5.64543709635580	[271, 4462]	6933
6934	[0, 0, 0, 0, 6934] 0 20770713792	{O} -	1	[841266381081 : -6035506032547 : 62240377347]	20.0775970437298	-	6934
6935	[0, 0, 0, 0, 6935] 0 20776705200	{O} -	0	-	-	-	6935
6936	[0, 0, 0, 0, 6936] 0 4494528	{O} -	1	[291870 : -1987552 : 19683]	9.42677950994366	-	6936
6937	[0, 0, 0, 0, 6937] 0 5197172652	{O} -	1	[18 : 113 : 1]	3.11993193304180	[18, 113]	6937
6938	[0, 0, 0, 0, 6938] 0 6931561536	{O} -	1	[-17 : 45 : 1]	2.93448261533613	[-17, 45]	6938
6939	[0, 0, 0, 0, 6939] 0 28533168	{O} -	0	-	-	-	6939
6940	[0, 0, 0, 0, 6940] 0 433472400	{O} -	3	[-6 : 82 : 1], [-19 : 9 : 1], [29 : 177 : 1]	2.73001447789994, 2.94785133823060, 3.24236975865527	[-19, 9], [-6, 82], [29, 177], [74, 642]	6940
6941	[0, 0, 0, 0, 6941] 0 5203167948	{O} -	0	-	-	-	6941
6942	[0, 0, 0, 0, 6942] 0 20818669248	{O} -	1	[-131321981008 : -1932534442883 : 23491948544]	19.3416671050585	-	6942
6943	[0, 0, 0, 0, 6943] 0 20824667568	{O} -	1	[42540666 : -1019390203 : 74088]	13.8487399559402	-	6943
6944	[0, 0, 0, 0, 6944] 0 81369792	{O} -	0	-	-	-	6944
6945	[0, 0, 0, 0, 6945] 0 5209166700	{O} -	1	[48 : 2251 : 27]	5.14721908834729	-	6945
6946	[0, 0, 0, 0, 6946] 0 20842667712	{O} -	0	-	-	-	6946
6947	[0, 0, 0, 0, 6947] 0 6949556496	{O} -	1	[37 : 240 : 1]	3.39034804483928	[37, 240]	6947
6948	[0, 0, 0, 0, 6948] 0 36206028	{O} -	1	[28 : 170 : 1]	2.84846535530020	[28, 170]	6948
6949	[0, 0, 0, 0, 6949] 0 1738389636	{O} -	0	-	-	-	6949
6950	[0, 0, 0, 0, 6950] 0 834667200	{O} -	2	[11 : 91 : 1], [2029594548732 : 15766361851051 : 169295928768]	3.47476368206687, 20.7239298084953	[11, 91]	6950
6951	[0, 0, 0, 0, 6951] 0 20872685232	{O} -	1	[390825 : 44308916 : 531441]	12.2001097723820	-	6951
6952	[0, 0, 0, 0, 6952] 0 1304918208	{O} -	1	[5646 : 81676 : 27]	6.90317100572165	-	6952
6953	[0, 0, 0, 0, 6953] 0 5221174572	{O} -	1	[-4 : 83 : 1]	2.95497530455275	[-4, 83]	6953
6954	[0, 0, 0, 0, 6954] 0 20890706112	{O} -	0	-	-	-	6954
6955	[0, 0, 0, 0, 6955] 0 20896714800	{O} -	0	-	-	-	6955
6956	[0, 0, 0, 0, 6956] 0 435473424	{O} -	1	[-11 : 75 : 1]	2.89853052232658	[-11, 75]	6956
6957	[0, 0, 0, 0, 6957] 0 580798188	{O} -	0	-	-	-	6957
6958	[0, 0, 0, 0, 6958] 0 142277184	{O} -	1	[-13 : 69 : 1]	2.91017293263020	[-13, 69]	6958
6959	[0, 0, 0, 0, 6959] 0 20920758192	{O} -	1	[-19 : 10 : 1]	3.49795248252574	[-19, 10]	6959
6960	[0, 0, 0, 0, 6960] 0 81745200	{O} -	1	[49 : 353 : 1]	4.13721133649223	[49, 353]	6960
6961	[0, 0, 0, 0, 6961] 0 5233196268	{O} -	2	[240 : 3719 : 1], [408 : 2755 : 27]	5.06753364857736, 5.26879992114072	[240, 3719]	6961
6962	[0, 0, 0, 0, 6962] 0 6015168	{O} -	1	[-4755284730 : 2291186717 : 250047000]	16.3896353916280	-	6962
6963	[0, 0, 0, 0, 6963] 0 20944815408	{O} -	2	[-26484 : 100207 : 1728], [573708 : -10454561 : 1728]	8.44387495923887, 10.8103667710244	-	6963
6964	[0, 0, 0, 0, 6964] 0 327356748	{O} -	1	[810006489 : -11723252387 : 3869893]	15.5125137393424	-	6964
6965	[0, 0, 0, 0, 6965] 0 1746404100	{O} -	0	-	-	-	6965
6966	[0, 0, 0, 0, 6966] 0 28755648	{O} -	0	-	-	-	6966
6967	[0, 0, 0, 0, 6967] 0 6989628816	{O} -	1	[7028382 : 43040647 : 238328]	12.0558798163984	-	6967
6968	[0, 0, 0, 0, 6968] 0 1310931648	{O} -	1	[17 : 109 : 1]	3.56546498595362	[17, 109]	6968
6969	[0, 0, 0, 0, 6969] 0 5245231788	{O} -	2	[-14 : 65 : 1], [149538032 : -901263431 : 5735339]	3.00393203674525, 13.6486229735706	[-14, 65]	6969
6970	[0, 0, 0, 0, 6970] 0 20986948800	{O} -	1	[-9 : 79 : 1]	3.43790719048630	[-9, 79]	6970
6971	[0, 0, 0, 0, 6971] 0 20992971312	{O} -	0	-	-	-	6971
6972	[0, 0, 0, 0, 6972] 0 1312437168	{O} -	0	-	-	-	6972
6973	[0, 0, 0, 0, 6973] 0 5251254732	{O} -	1	[-15807 : 96880 : 1331]	8.24934003969517	-	6973
6974	[0, 0, 0, 0, 6974] 0 7003681344	{O} -	1	[2187237 : -14175251 : 59319]	11.2649640135397	-	6974
6975	[0, 0, 0, 0, 6975] 0 93409200	{O} -	1	[-15 : 60 : 1]	1.66715018069376	[-15, 60]	6975
6976	[0, 0, 0, 0, 6976] 0 427716	{O} -	0	-	-	-	6976
6977	[0, 0, 0, 0, 6977] 0 5257281132	{O} -	0	-	-	-	6977
6978	[0, 0, 0, 0, 6978] 0 21035153088	{O} -	1	[-762860184805 : 3839029302521 : 56844576125]	19.9719446441660	-	6978
6979	[0, 0, 0, 0, 6979] 0 21041182512	{O} -	1	[808800 : -73915253 : 884736]	12.5413757701702	-	6979
6980	[0, 0, 0, 0, 6980] 0 328862700	{O} -	1	[-19 : 11 : 1]	3.49882879281684	[-19, 11]	6980
6981	[0, 0, 0, 0, 6981] 0 5263310988	{O} -	1	[28098 : 491165 : 5832]	9.20421705463203	-	6981
6982	[0, 0, 0, 0, 6982] 0 21059275968	{O} -	0	-	-	-	6982
6983	[0, 0, 0, 0, 6983] 0 7021769616	{O} -	1	[6545 : 48498 : 125]	6.85706976280235	-	6983
6984	[0, 0, 0, 0, 6984] 0 146328768	{O} -	1	[-314080 : 2559979 : 32768]	10.3729852140465	-	6984
6985	[0, 0, 0, 0, 6985] 0 1756448100	{O} -	0	-	-	-	6985
6986	[0, 0, 0, 0, 6986] 0 21083412672	{O} -	1	[1033780 : -11770613 : 8000]	10.9443724741888	-	6986
6987	[0, 0, 0, 0, 6987] 0 21089449008	{O} -	1	[33946772536 : 2505941973241 : 6229504]	19.0352814864364	-	6987
6988	[0, 0, 0, 0, 6988] 0 1318467888	{O} -	1	[-18 : 34 : 1]	2.79934898935689	[-18, 34]	6988
6989	[0, 0, 0, 0, 6989] 0 5275381068	{O} -	1	[-11824032 : -60018641 : 884736]	12.5917297182076	-	6989
6990	[0, 0, 0, 0, 6990] 0 21107563200	{O} -	2	[3297 : 36503 : 27], [50412472698 : 366643949653 : 1006012008]	7.09891439135896, 17.9738584240872	-	6990
6991	[0, 0, 0, 0, 6991] 0 21113602992	{O} -	0	-	-	-	6991
6992	[0, 0, 0, 0, 6992] 0 1718721	{O} -	1	[4 : 84 : 1]	1.48481120291859	[4, 84]	6992
6993	[0, 0, 0, 0, 6993] 0 7244748	{O} -	1	[46 : 323 : 1]	3.62901063884664	[46, 323]	6993
6994	[0, 0, 0, 0, 6994] 0 7043909184	{O} -	1	[1124325 : 14406283 : 6859]	11.0602016522773	-	6994
6995	[0, 0, 0, 0, 6995] 0 21137770800	{O} -	1	[9574010103 : 57629366756 : 377933067]	16.8890674869063	-	6995
6996	[0, 0, 0, 0, 6996] 0 330372108	{O} -	0	-	-	-	6996
6997	[0, 0, 0, 0, 6997] 0 5287464972	{O} -	0	-	-	-	6997
6998	[0, 0, 0, 0, 6998] 0 21155905728	{O} -	0	-	-	-	6998
6999	[0, 0, 0, 0, 6999] 0 21161952432	{O} -	0	-	-	-	6999
7000	[0, 0, 0, 0, 7000] 0 2116800	{O} -	0	-	-	-	7000

[関連リンク]

[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: 2021.10.22

H.Nakao

Rational Points on Ellptic Curves: y^2=x^3+n (n \in [6001..7000])

[2021.10.22]y^2=x^3+n (n \in [6001..7000])の有理点

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[参考文献]

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