Rational Points on Elliptic Curves: u^3+v^3-3uv=n, y^2=x^3+9(4n+1)x^2+432n(n+1)x+1728(n+1)<sup>2</sup> (n \in [1..1000])

Rational Points on Elliptic Curves: u^3+v^3-3uv=n, y^2=x^3+9(4n+1)x^2+432n(n+1)x+1728(n+1)² (n \in [1..1000])

[2021.07.16]u^3+v^3-3uv=n, y^2=x^3+9(4n+1)x^2+432n(n+1)x+1728(n+1)² (n \in [1..1000])の有理点

u^3+v^3-3uv=nの有理点を計算するプログラム(pari/gp)
x^3+y^3-3xy=842のグラフ(png)

■パラメータnを持つ楕円曲線
     C_n: u³+v³-3uv=n ----- (1)
を以下の標準形に変形する。
式の変形については、こちらを参照のこと。

     E_n: y² = x³+9(4n+1)x²+432n(n+1)x+1728n(n+1)² ------------- (2)

C_nからE_nへの有理変換φ:(u,v)-->(x,y)は、
     x=-12(n+1)(u+v)/(u+v+1),
     y=36(n+1)(u-v)/(u+v+1)
であり、E_nからC_nへの有理変換ψ:(x,y)-->(u,v)は、
     u=(-3x+y)/{6(x+12(n+1))},
     v=-(3x+y)/{6(x+12(n+1))}
である。

■E_nの判別式Δ(n)は、
     Δ(n) = -80621568*n*(n+1)³
である。
よって、n=-1,0のときは、E_nは特異となる。n!=-1,0のときは、E_nは非特異である。

[pari/gpによる計算]

gp> ec(n).disc
%57 = -80621568*n^4 - 241864704*n^3 - 241864704*n^2 - 80621568*n
gp> factor(ec(n).disc)
%58 =
[    n 1]

[n + 1 3]

■n=-1のとき
特異楕円曲線
    E_-1: y²=x³-27x²
は、有理点[0,0]を持つので、
    y=xt
とおくと、
    x=t²+27
    y=t³+27t
となるので、E_-1の有理点は、tでパラメータ表示できて、
    E_-1(Q)={O,[0,0]}∪{[t²+27, t³+27t]: t ∈ Q}
である。
これらを有理変換ψで、楕円曲線C₀に写すと、C₀の有理点
    C₀(Q)={[1 : -1 : 0], [1 : 1 : 1]}∪{[t-3 : -t-3 : 6] : t ∈ Q}

[pari/gpによる計算]

gp> ggg([t^2+27,t^3+27*t],-1)
%45 = [1/6*t - 1/2, -1/6*t - 1/2]
gp> cc(1/6*t - 1/2, -1/6*t - 1/2)
%46 = -1

■n=0のとき
特異楕円曲線
    E₀: y²=x³+9x²
は、有理点[0,0]を持つので、
    y=xt
とおくと、
    x=t²-9
    y=t³-9t
となるので、E₀の有理点は、tでパラメータ表示できて、
    E₀(Q)={O,[0,0]}∪{[t²-9, t³-9t]: t ∈ Q}
である。
これらを有理変換ψで、楕円曲線C₀に写すと、C₀の有理点
    C₀(Q)={[1 : -1 : 0], [0 : 0 : 1]}∪{[t³-3t²-9t+27 : -t³-3t²+9t+27 : 6(t²+3)] : t ∈ Q}

[pari/gpによる計算]

gp> ggg([t^2-9,t^3-9*t],0)
%41 = [(t^3 - 3*t^2 - 9*t + 27)/(6*t^2 + 18), (-t^3 - 3*t^2 + 9*t + 27)/(6*t^2 + 18)]
gp> cc((t^3 - 3*t^2 - 9*t + 27)/(6*t^2 + 18), (-t^3 - 3*t^2 + 9*t + 27)/(6*t^2 + 18))
%42 = 0

■n=1..1000について、E_n, C_nの有理点を計算する。

楕円曲線E_nのねじれ点群E_n(Q)_torsは、以下の通りである。
E_n(Q)_tors=Z/3Z (n=1,8,64,125,216,343,512,1000のとき)
             =Z/2Z (n=4,49,175,729,832のとき)
             =Z/4Z (n=80,242,324,539,675のとき)
             =Z/6Z (n=27のとき)
             ={O} (n!=1,4,8,27,49,64,80,125,175,216,242,324,343,512,539,675,729,832,1000のとき)
C_nは、無限遠点O_C=[1 : -1 : 0](有理点でもある)を持つ。

[pari/gpによる計算]

gp> for(i=1,1000,e=ec(i);print("E_{",i,"}(Q)_{tors}=",elltors(e)))
E_{1}(Q)_{tors}=[3, [3], [[-12, 36]]]
E_{2}(Q)_{tors}=[1, [], []]
E_{3}(Q)_{tors}=[1, [], []]
E_{4}(Q)_{tors}=[2, [2], [[-48, 0]]]
E_{5}(Q)_{tors}=[1, [], []]
E_{6}(Q)_{tors}=[1, [], []]
E_{7}(Q)_{tors}=[1, [], []]
E_{8}(Q)_{tors}=[3, [3], [[-72, 216]]]
E_{9}(Q)_{tors}=[1, [], []]
E_{10}(Q)_{tors}=[1, [], []]
E_{11}(Q)_{tors}=[1, [], []]
E_{12}(Q)_{tors}=[1, [], []]
E_{13}(Q)_{tors}=[1, [], []]
E_{14}(Q)_{tors}=[1, [], []]
E_{15}(Q)_{tors}=[1, [], []]
E_{16}(Q)_{tors}=[1, [], []]
E_{17}(Q)_{tors}=[1, [], []]
E_{18}(Q)_{tors}=[1, [], []]
E_{19}(Q)_{tors}=[1, [], []]
E_{20}(Q)_{tors}=[1, [], []]
E_{21}(Q)_{tors}=[1, [], []]
E_{22}(Q)_{tors}=[1, [], []]
E_{23}(Q)_{tors}=[1, [], []]
E_{24}(Q)_{tors}=[1, [], []]
E_{25}(Q)_{tors}=[1, [], []]
E_{26}(Q)_{tors}=[1, [], []]
E_{27}(Q)_{tors}=[6, [6], [[0, 6048]]]
E_{28}(Q)_{tors}=[1, [], []]
E_{29}(Q)_{tors}=[1, [], []]
E_{30}(Q)_{tors}=[1, [], []]
E_{31}(Q)_{tors}=[1, [], []]
E_{32}(Q)_{tors}=[1, [], []]
E_{33}(Q)_{tors}=[1, [], []]
E_{34}(Q)_{tors}=[1, [], []]
E_{35}(Q)_{tors}=[1, [], []]
E_{36}(Q)_{tors}=[1, [], []]
E_{37}(Q)_{tors}=[1, [], []]
E_{38}(Q)_{tors}=[1, [], []]
E_{39}(Q)_{tors}=[1, [], []]
E_{40}(Q)_{tors}=[1, [], []]
E_{41}(Q)_{tors}=[1, [], []]
E_{42}(Q)_{tors}=[1, [], []]
E_{43}(Q)_{tors}=[1, [], []]
E_{44}(Q)_{tors}=[1, [], []]
E_{45}(Q)_{tors}=[1, [], []]
E_{46}(Q)_{tors}=[1, [], []]
E_{47}(Q)_{tors}=[1, [], []]
E_{48}(Q)_{tors}=[1, [], []]
E_{49}(Q)_{tors}=[2, [2], [[-525, 0]]]
E_{50}(Q)_{tors}=[1, [], []]
E_{51}(Q)_{tors}=[1, [], []]
E_{52}(Q)_{tors}=[1, [], []]
E_{53}(Q)_{tors}=[1, [], []]
E_{54}(Q)_{tors}=[1, [], []]
E_{55}(Q)_{tors}=[1, [], []]
E_{56}(Q)_{tors}=[1, [], []]
E_{57}(Q)_{tors}=[1, [], []]
E_{58}(Q)_{tors}=[1, [], []]
E_{59}(Q)_{tors}=[1, [], []]
E_{60}(Q)_{tors}=[1, [], []]
E_{61}(Q)_{tors}=[1, [], []]
E_{62}(Q)_{tors}=[1, [], []]
E_{63}(Q)_{tors}=[1, [], []]
E_{64}(Q)_{tors}=[3, [3], [[-624, 1872]]]
E_{65}(Q)_{tors}=[1, [], []]
E_{66}(Q)_{tors}=[1, [], []]
E_{67}(Q)_{tors}=[1, [], []]
E_{68}(Q)_{tors}=[1, [], []]
E_{69}(Q)_{tors}=[1, [], []]
E_{70}(Q)_{tors}=[1, [], []]
E_{71}(Q)_{tors}=[1, [], []]
E_{72}(Q)_{tors}=[1, [], []]
E_{73}(Q)_{tors}=[1, [], []]
E_{74}(Q)_{tors}=[1, [], []]
E_{75}(Q)_{tors}=[1, [], []]
E_{76}(Q)_{tors}=[1, [], []]
E_{77}(Q)_{tors}=[1, [], []]
E_{78}(Q)_{tors}=[1, [], []]
E_{79}(Q)_{tors}=[1, [], []]
E_{80}(Q)_{tors}=[4, [4], [[-648, 5832]]]
E_{81}(Q)_{tors}=[1, [], []]
E_{82}(Q)_{tors}=[1, [], []]
E_{83}(Q)_{tors}=[1, [], []]
E_{84}(Q)_{tors}=[1, [], []]
E_{85}(Q)_{tors}=[1, [], []]
E_{86}(Q)_{tors}=[1, [], []]
E_{87}(Q)_{tors}=[1, [], []]
E_{88}(Q)_{tors}=[1, [], []]
E_{89}(Q)_{tors}=[1, [], []]
E_{90}(Q)_{tors}=[1, [], []]
E_{91}(Q)_{tors}=[1, [], []]
E_{92}(Q)_{tors}=[1, [], []]
E_{93}(Q)_{tors}=[1, [], []]
E_{94}(Q)_{tors}=[1, [], []]
E_{95}(Q)_{tors}=[1, [], []]
E_{96}(Q)_{tors}=[1, [], []]
E_{97}(Q)_{tors}=[1, [], []]
E_{98}(Q)_{tors}=[1, [], []]
E_{99}(Q)_{tors}=[1, [], []]
E_{100}(Q)_{tors}=[1, [], []]
E_{101}(Q)_{tors}=[1, [], []]
E_{102}(Q)_{tors}=[1, [], []]
E_{103}(Q)_{tors}=[1, [], []]
E_{104}(Q)_{tors}=[1, [], []]
E_{105}(Q)_{tors}=[1, [], []]
E_{106}(Q)_{tors}=[1, [], []]
E_{107}(Q)_{tors}=[1, [], []]
E_{108}(Q)_{tors}=[1, [], []]
E_{109}(Q)_{tors}=[1, [], []]
E_{110}(Q)_{tors}=[1, [], []]
E_{111}(Q)_{tors}=[1, [], []]
E_{112}(Q)_{tors}=[1, [], []]
E_{113}(Q)_{tors}=[1, [], []]
E_{114}(Q)_{tors}=[1, [], []]
E_{115}(Q)_{tors}=[1, [], []]
E_{116}(Q)_{tors}=[1, [], []]
E_{117}(Q)_{tors}=[1, [], []]
E_{118}(Q)_{tors}=[1, [], []]
E_{119}(Q)_{tors}=[1, [], []]
E_{120}(Q)_{tors}=[1, [], []]
E_{121}(Q)_{tors}=[1, [], []]
E_{122}(Q)_{tors}=[1, [], []]
E_{123}(Q)_{tors}=[1, [], []]
E_{124}(Q)_{tors}=[1, [], []]
E_{125}(Q)_{tors}=[3, [3], [[-1260, 3780]]]
E_{126}(Q)_{tors}=[1, [], []]
E_{127}(Q)_{tors}=[1, [], []]
E_{128}(Q)_{tors}=[1, [], []]
E_{129}(Q)_{tors}=[1, [], []]
E_{130}(Q)_{tors}=[1, [], []]
E_{131}(Q)_{tors}=[1, [], []]
E_{132}(Q)_{tors}=[1, [], []]
E_{133}(Q)_{tors}=[1, [], []]
E_{134}(Q)_{tors}=[1, [], []]
E_{135}(Q)_{tors}=[1, [], []]
E_{136}(Q)_{tors}=[1, [], []]
E_{137}(Q)_{tors}=[1, [], []]
E_{138}(Q)_{tors}=[1, [], []]
E_{139}(Q)_{tors}=[1, [], []]
E_{140}(Q)_{tors}=[1, [], []]
E_{141}(Q)_{tors}=[1, [], []]
E_{142}(Q)_{tors}=[1, [], []]
E_{143}(Q)_{tors}=[1, [], []]
E_{144}(Q)_{tors}=[1, [], []]
E_{145}(Q)_{tors}=[1, [], []]
E_{146}(Q)_{tors}=[1, [], []]
E_{147}(Q)_{tors}=[1, [], []]
E_{148}(Q)_{tors}=[1, [], []]
E_{149}(Q)_{tors}=[1, [], []]
E_{150}(Q)_{tors}=[1, [], []]
E_{151}(Q)_{tors}=[1, [], []]
E_{152}(Q)_{tors}=[1, [], []]
E_{153}(Q)_{tors}=[1, [], []]
E_{154}(Q)_{tors}=[1, [], []]
E_{155}(Q)_{tors}=[1, [], []]
E_{156}(Q)_{tors}=[1, [], []]
E_{157}(Q)_{tors}=[1, [], []]
E_{158}(Q)_{tors}=[1, [], []]
E_{159}(Q)_{tors}=[1, [], []]
E_{160}(Q)_{tors}=[1, [], []]
E_{161}(Q)_{tors}=[1, [], []]
E_{162}(Q)_{tors}=[1, [], []]
E_{163}(Q)_{tors}=[1, [], []]
E_{164}(Q)_{tors}=[1, [], []]
E_{165}(Q)_{tors}=[1, [], []]
E_{166}(Q)_{tors}=[1, [], []]
E_{167}(Q)_{tors}=[1, [], []]
E_{168}(Q)_{tors}=[1, [], []]
E_{169}(Q)_{tors}=[1, [], []]
E_{170}(Q)_{tors}=[1, [], []]
E_{171}(Q)_{tors}=[1, [], []]
E_{172}(Q)_{tors}=[1, [], []]
E_{173}(Q)_{tors}=[1, [], []]
E_{174}(Q)_{tors}=[1, [], []]
E_{175}(Q)_{tors}=[2, [2], [[-1920, 0]]]
E_{176}(Q)_{tors}=[1, [], []]
E_{177}(Q)_{tors}=[1, [], []]
E_{178}(Q)_{tors}=[1, [], []]
E_{179}(Q)_{tors}=[1, [], []]
E_{180}(Q)_{tors}=[1, [], []]
E_{181}(Q)_{tors}=[1, [], []]
E_{182}(Q)_{tors}=[1, [], []]
E_{183}(Q)_{tors}=[1, [], []]
E_{184}(Q)_{tors}=[1, [], []]
E_{185}(Q)_{tors}=[1, [], []]
E_{186}(Q)_{tors}=[1, [], []]
E_{187}(Q)_{tors}=[1, [], []]
E_{188}(Q)_{tors}=[1, [], []]
E_{189}(Q)_{tors}=[1, [], []]
E_{190}(Q)_{tors}=[1, [], []]
E_{191}(Q)_{tors}=[1, [], []]
E_{192}(Q)_{tors}=[1, [], []]
E_{193}(Q)_{tors}=[1, [], []]
E_{194}(Q)_{tors}=[1, [], []]
E_{195}(Q)_{tors}=[1, [], []]
E_{196}(Q)_{tors}=[1, [], []]
E_{197}(Q)_{tors}=[1, [], []]
E_{198}(Q)_{tors}=[1, [], []]
E_{199}(Q)_{tors}=[1, [], []]
E_{200}(Q)_{tors}=[1, [], []]
E_{201}(Q)_{tors}=[1, [], []]
E_{202}(Q)_{tors}=[1, [], []]
E_{203}(Q)_{tors}=[1, [], []]
E_{204}(Q)_{tors}=[1, [], []]
E_{205}(Q)_{tors}=[1, [], []]
E_{206}(Q)_{tors}=[1, [], []]
E_{207}(Q)_{tors}=[1, [], []]
E_{208}(Q)_{tors}=[1, [], []]
E_{209}(Q)_{tors}=[1, [], []]
E_{210}(Q)_{tors}=[1, [], []]
E_{211}(Q)_{tors}=[1, [], []]
E_{212}(Q)_{tors}=[1, [], []]
E_{213}(Q)_{tors}=[1, [], []]
E_{214}(Q)_{tors}=[1, [], []]
E_{215}(Q)_{tors}=[1, [], []]
E_{216}(Q)_{tors}=[3, [3], [[-2232, 6696]]]
E_{217}(Q)_{tors}=[1, [], []]
E_{218}(Q)_{tors}=[1, [], []]
E_{219}(Q)_{tors}=[1, [], []]
E_{220}(Q)_{tors}=[1, [], []]
E_{221}(Q)_{tors}=[1, [], []]
E_{222}(Q)_{tors}=[1, [], []]
E_{223}(Q)_{tors}=[1, [], []]
E_{224}(Q)_{tors}=[1, [], []]
E_{225}(Q)_{tors}=[1, [], []]
E_{226}(Q)_{tors}=[1, [], []]
E_{227}(Q)_{tors}=[1, [], []]
E_{228}(Q)_{tors}=[1, [], []]
E_{229}(Q)_{tors}=[1, [], []]
E_{230}(Q)_{tors}=[1, [], []]
E_{231}(Q)_{tors}=[1, [], []]
E_{232}(Q)_{tors}=[1, [], []]
E_{233}(Q)_{tors}=[1, [], []]
E_{234}(Q)_{tors}=[1, [], []]
E_{235}(Q)_{tors}=[1, [], []]
E_{236}(Q)_{tors}=[1, [], []]
E_{237}(Q)_{tors}=[1, [], []]
E_{238}(Q)_{tors}=[1, [], []]
E_{239}(Q)_{tors}=[1, [], []]
E_{240}(Q)_{tors}=[1, [], []]
E_{241}(Q)_{tors}=[1, [], []]
E_{242}(Q)_{tors}=[2, [2], [[-2673, 0]]]
E_{243}(Q)_{tors}=[1, [], []]
E_{244}(Q)_{tors}=[1, [], []]
E_{245}(Q)_{tors}=[1, [], []]
E_{246}(Q)_{tors}=[1, [], []]
E_{247}(Q)_{tors}=[1, [], []]
E_{248}(Q)_{tors}=[1, [], []]
E_{249}(Q)_{tors}=[1, [], []]
E_{250}(Q)_{tors}=[1, [], []]
E_{251}(Q)_{tors}=[1, [], []]
E_{252}(Q)_{tors}=[1, [], []]
E_{253}(Q)_{tors}=[1, [], []]
E_{254}(Q)_{tors}=[1, [], []]
E_{255}(Q)_{tors}=[1, [], []]
E_{256}(Q)_{tors}=[1, [], []]
E_{257}(Q)_{tors}=[1, [], []]
E_{258}(Q)_{tors}=[1, [], []]
E_{259}(Q)_{tors}=[1, [], []]
E_{260}(Q)_{tors}=[1, [], []]
E_{261}(Q)_{tors}=[1, [], []]
E_{262}(Q)_{tors}=[1, [], []]
E_{263}(Q)_{tors}=[1, [], []]
E_{264}(Q)_{tors}=[1, [], []]
E_{265}(Q)_{tors}=[1, [], []]
E_{266}(Q)_{tors}=[1, [], []]
E_{267}(Q)_{tors}=[1, [], []]
E_{268}(Q)_{tors}=[1, [], []]
E_{269}(Q)_{tors}=[1, [], []]
E_{270}(Q)_{tors}=[1, [], []]
E_{271}(Q)_{tors}=[1, [], []]
E_{272}(Q)_{tors}=[1, [], []]
E_{273}(Q)_{tors}=[1, [], []]
E_{274}(Q)_{tors}=[1, [], []]
E_{275}(Q)_{tors}=[1, [], []]
E_{276}(Q)_{tors}=[1, [], []]
E_{277}(Q)_{tors}=[1, [], []]
E_{278}(Q)_{tors}=[1, [], []]
E_{279}(Q)_{tors}=[1, [], []]
E_{280}(Q)_{tors}=[1, [], []]
E_{281}(Q)_{tors}=[1, [], []]
E_{282}(Q)_{tors}=[1, [], []]
E_{283}(Q)_{tors}=[1, [], []]
E_{284}(Q)_{tors}=[1, [], []]
E_{285}(Q)_{tors}=[1, [], []]
E_{286}(Q)_{tors}=[1, [], []]
E_{287}(Q)_{tors}=[1, [], []]
E_{288}(Q)_{tors}=[1, [], []]
E_{289}(Q)_{tors}=[1, [], []]
E_{290}(Q)_{tors}=[1, [], []]
E_{291}(Q)_{tors}=[1, [], []]
E_{292}(Q)_{tors}=[1, [], []]
E_{293}(Q)_{tors}=[1, [], []]
E_{294}(Q)_{tors}=[1, [], []]
E_{295}(Q)_{tors}=[1, [], []]
E_{296}(Q)_{tors}=[1, [], []]
E_{297}(Q)_{tors}=[1, [], []]
E_{298}(Q)_{tors}=[1, [], []]
E_{299}(Q)_{tors}=[1, [], []]
E_{300}(Q)_{tors}=[1, [], []]
E_{301}(Q)_{tors}=[1, [], []]
E_{302}(Q)_{tors}=[1, [], []]
E_{303}(Q)_{tors}=[1, [], []]
E_{304}(Q)_{tors}=[1, [], []]
E_{305}(Q)_{tors}=[1, [], []]
E_{306}(Q)_{tors}=[1, [], []]
E_{307}(Q)_{tors}=[1, [], []]
E_{308}(Q)_{tors}=[1, [], []]
E_{309}(Q)_{tors}=[1, [], []]
E_{310}(Q)_{tors}=[1, [], []]
E_{311}(Q)_{tors}=[1, [], []]
E_{312}(Q)_{tors}=[1, [], []]
E_{313}(Q)_{tors}=[1, [], []]
E_{314}(Q)_{tors}=[1, [], []]
E_{315}(Q)_{tors}=[1, [], []]
E_{316}(Q)_{tors}=[1, [], []]
E_{317}(Q)_{tors}=[1, [], []]
E_{318}(Q)_{tors}=[1, [], []]
E_{319}(Q)_{tors}=[1, [], []]
E_{320}(Q)_{tors}=[1, [], []]
E_{321}(Q)_{tors}=[1, [], []]
E_{322}(Q)_{tors}=[1, [], []]
E_{323}(Q)_{tors}=[1, [], []]
E_{324}(Q)_{tors}=[2, [2], [[-3600, 0]]]
E_{325}(Q)_{tors}=[1, [], []]
E_{326}(Q)_{tors}=[1, [], []]
E_{327}(Q)_{tors}=[1, [], []]
E_{328}(Q)_{tors}=[1, [], []]
E_{329}(Q)_{tors}=[1, [], []]
E_{330}(Q)_{tors}=[1, [], []]
E_{331}(Q)_{tors}=[1, [], []]
E_{332}(Q)_{tors}=[1, [], []]
E_{333}(Q)_{tors}=[1, [], []]
E_{334}(Q)_{tors}=[1, [], []]
E_{335}(Q)_{tors}=[1, [], []]
E_{336}(Q)_{tors}=[1, [], []]
E_{337}(Q)_{tors}=[1, [], []]
E_{338}(Q)_{tors}=[1, [], []]
E_{339}(Q)_{tors}=[1, [], []]
E_{340}(Q)_{tors}=[1, [], []]
E_{341}(Q)_{tors}=[1, [], []]
E_{342}(Q)_{tors}=[1, [], []]
E_{343}(Q)_{tors}=[3, [3], [[-3612, 10836]]]
E_{344}(Q)_{tors}=[1, [], []]
E_{345}(Q)_{tors}=[1, [], []]
E_{346}(Q)_{tors}=[1, [], []]
E_{347}(Q)_{tors}=[1, [], []]
E_{348}(Q)_{tors}=[1, [], []]
E_{349}(Q)_{tors}=[1, [], []]
E_{350}(Q)_{tors}=[1, [], []]
E_{351}(Q)_{tors}=[1, [], []]
E_{352}(Q)_{tors}=[1, [], []]
E_{353}(Q)_{tors}=[1, [], []]
E_{354}(Q)_{tors}=[1, [], []]
E_{355}(Q)_{tors}=[1, [], []]
E_{356}(Q)_{tors}=[1, [], []]
E_{357}(Q)_{tors}=[1, [], []]
E_{358}(Q)_{tors}=[1, [], []]
E_{359}(Q)_{tors}=[1, [], []]
E_{360}(Q)_{tors}=[1, [], []]
E_{361}(Q)_{tors}=[1, [], []]
E_{362}(Q)_{tors}=[1, [], []]
E_{363}(Q)_{tors}=[1, [], []]
E_{364}(Q)_{tors}=[1, [], []]
E_{365}(Q)_{tors}=[1, [], []]
E_{366}(Q)_{tors}=[1, [], []]
E_{367}(Q)_{tors}=[1, [], []]
E_{368}(Q)_{tors}=[1, [], []]
E_{369}(Q)_{tors}=[1, [], []]
E_{370}(Q)_{tors}=[1, [], []]
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E_{422}(Q)_{tors}=[1, [], []]
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E_{425}(Q)_{tors}=[1, [], []]
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E_{427}(Q)_{tors}=[1, [], []]
E_{428}(Q)_{tors}=[1, [], []]
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E_{432}(Q)_{tors}=[1, [], []]
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E_{435}(Q)_{tors}=[1, [], []]
E_{436}(Q)_{tors}=[1, [], []]
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E_{465}(Q)_{tors}=[1, [], []]
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E_{495}(Q)_{tors}=[1, [], []]
E_{496}(Q)_{tors}=[1, [], []]
E_{497}(Q)_{tors}=[1, [], []]
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E_{505}(Q)_{tors}=[1, [], []]
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E_{510}(Q)_{tors}=[1, [], []]
E_{511}(Q)_{tors}=[1, [], []]
E_{512}(Q)_{tors}=[3, [3], [[-5472, 16416]]]
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E_{515}(Q)_{tors}=[1, [], []]
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E_{524}(Q)_{tors}=[1, [], []]
E_{525}(Q)_{tors}=[1, [], []]
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E_{527}(Q)_{tors}=[1, [], []]
E_{528}(Q)_{tors}=[1, [], []]
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E_{536}(Q)_{tors}=[1, [], []]
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E_{538}(Q)_{tors}=[1, [], []]
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E_{546}(Q)_{tors}=[1, [], []]
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E_{560}(Q)_{tors}=[1, [], []]
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E_{575}(Q)_{tors}=[1, [], []]
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E_{581}(Q)_{tors}=[1, [], []]
E_{582}(Q)_{tors}=[1, [], []]
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E_{584}(Q)_{tors}=[1, [], []]
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E_{590}(Q)_{tors}=[1, [], []]
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E_{594}(Q)_{tors}=[1, [], []]
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E_{600}(Q)_{tors}=[1, [], []]
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E_{603}(Q)_{tors}=[1, [], []]
E_{604}(Q)_{tors}=[1, [], []]
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E_{610}(Q)_{tors}=[1, [], []]
E_{611}(Q)_{tors}=[1, [], []]
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E_{614}(Q)_{tors}=[1, [], []]
E_{615}(Q)_{tors}=[1, [], []]
E_{616}(Q)_{tors}=[1, [], []]
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E_{619}(Q)_{tors}=[1, [], []]
E_{620}(Q)_{tors}=[1, [], []]
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E_{622}(Q)_{tors}=[1, [], []]
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E_{624}(Q)_{tors}=[1, [], []]
E_{625}(Q)_{tors}=[1, [], []]
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E_{629}(Q)_{tors}=[1, [], []]
E_{630}(Q)_{tors}=[1, [], []]
E_{631}(Q)_{tors}=[1, [], []]
E_{632}(Q)_{tors}=[1, [], []]
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E_{634}(Q)_{tors}=[1, [], []]
E_{635}(Q)_{tors}=[1, [], []]
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E_{637}(Q)_{tors}=[1, [], []]
E_{638}(Q)_{tors}=[1, [], []]
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E_{640}(Q)_{tors}=[1, [], []]
E_{641}(Q)_{tors}=[1, [], []]
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E_{643}(Q)_{tors}=[1, [], []]
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E_{645}(Q)_{tors}=[1, [], []]
E_{646}(Q)_{tors}=[1, [], []]
E_{647}(Q)_{tors}=[1, [], []]
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E_{650}(Q)_{tors}=[1, [], []]
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E_{653}(Q)_{tors}=[1, [], []]
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E_{656}(Q)_{tors}=[1, [], []]
E_{657}(Q)_{tors}=[1, [], []]
E_{658}(Q)_{tors}=[1, [], []]
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E_{660}(Q)_{tors}=[1, [], []]
E_{661}(Q)_{tors}=[1, [], []]
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E_{663}(Q)_{tors}=[1, [], []]
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E_{701}(Q)_{tors}=[1, [], []]
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E_{704}(Q)_{tors}=[1, [], []]
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E_{706}(Q)_{tors}=[1, [], []]
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E_{822}(Q)_{tors}=[1, [], []]
E_{823}(Q)_{tors}=[1, [], []]
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E_{831}(Q)_{tors}=[1, [], []]
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E_{841}(Q)_{tors}=[1, [], []]
E_{842}(Q)_{tors}=[1, [], []]
E_{843}(Q)_{tors}=[1, [], []]
E_{844}(Q)_{tors}=[1, [], []]
E_{845}(Q)_{tors}=[1, [], []]
E_{846}(Q)_{tors}=[1, [], []]
E_{847}(Q)_{tors}=[1, [], []]
E_{848}(Q)_{tors}=[1, [], []]
E_{849}(Q)_{tors}=[1, [], []]
E_{850}(Q)_{tors}=[1, [], []]
E_{851}(Q)_{tors}=[1, [], []]
E_{852}(Q)_{tors}=[1, [], []]
E_{853}(Q)_{tors}=[1, [], []]
E_{854}(Q)_{tors}=[1, [], []]
E_{855}(Q)_{tors}=[1, [], []]
E_{856}(Q)_{tors}=[1, [], []]
E_{857}(Q)_{tors}=[1, [], []]
E_{858}(Q)_{tors}=[1, [], []]
E_{859}(Q)_{tors}=[1, [], []]
E_{860}(Q)_{tors}=[1, [], []]
E_{861}(Q)_{tors}=[1, [], []]
E_{862}(Q)_{tors}=[1, [], []]
E_{863}(Q)_{tors}=[1, [], []]
E_{864}(Q)_{tors}=[1, [], []]
E_{865}(Q)_{tors}=[1, [], []]
E_{866}(Q)_{tors}=[1, [], []]
E_{867}(Q)_{tors}=[1, [], []]
E_{868}(Q)_{tors}=[1, [], []]
E_{869}(Q)_{tors}=[1, [], []]
E_{870}(Q)_{tors}=[1, [], []]
E_{871}(Q)_{tors}=[1, [], []]
E_{872}(Q)_{tors}=[1, [], []]
E_{873}(Q)_{tors}=[1, [], []]
E_{874}(Q)_{tors}=[1, [], []]
E_{875}(Q)_{tors}=[1, [], []]
E_{876}(Q)_{tors}=[1, [], []]
E_{877}(Q)_{tors}=[1, [], []]
E_{878}(Q)_{tors}=[1, [], []]
E_{879}(Q)_{tors}=[1, [], []]
E_{880}(Q)_{tors}=[1, [], []]
E_{881}(Q)_{tors}=[1, [], []]
E_{882}(Q)_{tors}=[1, [], []]
E_{883}(Q)_{tors}=[1, [], []]
E_{884}(Q)_{tors}=[1, [], []]
E_{885}(Q)_{tors}=[1, [], []]
E_{886}(Q)_{tors}=[1, [], []]
E_{887}(Q)_{tors}=[1, [], []]
E_{888}(Q)_{tors}=[1, [], []]
E_{889}(Q)_{tors}=[1, [], []]
E_{890}(Q)_{tors}=[1, [], []]
E_{891}(Q)_{tors}=[1, [], []]
E_{892}(Q)_{tors}=[1, [], []]
E_{893}(Q)_{tors}=[1, [], []]
E_{894}(Q)_{tors}=[1, [], []]
E_{895}(Q)_{tors}=[1, [], []]
E_{896}(Q)_{tors}=[1, [], []]
E_{897}(Q)_{tors}=[1, [], []]
E_{898}(Q)_{tors}=[1, [], []]
E_{899}(Q)_{tors}=[1, [], []]
E_{900}(Q)_{tors}=[1, [], []]
E_{901}(Q)_{tors}=[1, [], []]
E_{902}(Q)_{tors}=[1, [], []]
E_{903}(Q)_{tors}=[1, [], []]
E_{904}(Q)_{tors}=[1, [], []]
E_{905}(Q)_{tors}=[1, [], []]
E_{906}(Q)_{tors}=[1, [], []]
E_{907}(Q)_{tors}=[1, [], []]
E_{908}(Q)_{tors}=[1, [], []]
E_{909}(Q)_{tors}=[1, [], []]
E_{910}(Q)_{tors}=[1, [], []]
E_{911}(Q)_{tors}=[1, [], []]
E_{912}(Q)_{tors}=[1, [], []]
E_{913}(Q)_{tors}=[1, [], []]
E_{914}(Q)_{tors}=[1, [], []]
E_{915}(Q)_{tors}=[1, [], []]
E_{916}(Q)_{tors}=[1, [], []]
E_{917}(Q)_{tors}=[1, [], []]
E_{918}(Q)_{tors}=[1, [], []]
E_{919}(Q)_{tors}=[1, [], []]
E_{920}(Q)_{tors}=[1, [], []]
E_{921}(Q)_{tors}=[1, [], []]
E_{922}(Q)_{tors}=[1, [], []]
E_{923}(Q)_{tors}=[1, [], []]
E_{924}(Q)_{tors}=[1, [], []]
E_{925}(Q)_{tors}=[1, [], []]
E_{926}(Q)_{tors}=[1, [], []]
E_{927}(Q)_{tors}=[1, [], []]
E_{928}(Q)_{tors}=[1, [], []]
E_{929}(Q)_{tors}=[1, [], []]
E_{930}(Q)_{tors}=[1, [], []]
E_{931}(Q)_{tors}=[1, [], []]
E_{932}(Q)_{tors}=[1, [], []]
E_{933}(Q)_{tors}=[1, [], []]
E_{934}(Q)_{tors}=[1, [], []]
E_{935}(Q)_{tors}=[1, [], []]
E_{936}(Q)_{tors}=[1, [], []]
E_{937}(Q)_{tors}=[1, [], []]
E_{938}(Q)_{tors}=[1, [], []]
E_{939}(Q)_{tors}=[1, [], []]
E_{940}(Q)_{tors}=[1, [], []]
E_{941}(Q)_{tors}=[1, [], []]
E_{942}(Q)_{tors}=[1, [], []]
E_{943}(Q)_{tors}=[1, [], []]
E_{944}(Q)_{tors}=[1, [], []]
E_{945}(Q)_{tors}=[1, [], []]
E_{946}(Q)_{tors}=[1, [], []]
E_{947}(Q)_{tors}=[1, [], []]
E_{948}(Q)_{tors}=[1, [], []]
E_{949}(Q)_{tors}=[1, [], []]
E_{950}(Q)_{tors}=[1, [], []]
E_{951}(Q)_{tors}=[1, [], []]
E_{952}(Q)_{tors}=[1, [], []]
E_{953}(Q)_{tors}=[1, [], []]
E_{954}(Q)_{tors}=[1, [], []]
E_{955}(Q)_{tors}=[1, [], []]
E_{956}(Q)_{tors}=[1, [], []]
E_{957}(Q)_{tors}=[1, [], []]
E_{958}(Q)_{tors}=[1, [], []]
E_{959}(Q)_{tors}=[1, [], []]
E_{960}(Q)_{tors}=[1, [], []]
E_{961}(Q)_{tors}=[1, [], []]
E_{962}(Q)_{tors}=[1, [], []]
E_{963}(Q)_{tors}=[1, [], []]
E_{964}(Q)_{tors}=[1, [], []]
E_{965}(Q)_{tors}=[1, [], []]
E_{966}(Q)_{tors}=[1, [], []]
E_{967}(Q)_{tors}=[1, [], []]
E_{968}(Q)_{tors}=[1, [], []]
E_{969}(Q)_{tors}=[1, [], []]
E_{970}(Q)_{tors}=[1, [], []]
E_{971}(Q)_{tors}=[1, [], []]
E_{972}(Q)_{tors}=[1, [], []]
E_{973}(Q)_{tors}=[1, [], []]
E_{974}(Q)_{tors}=[1, [], []]
E_{975}(Q)_{tors}=[1, [], []]
E_{976}(Q)_{tors}=[1, [], []]
E_{977}(Q)_{tors}=[1, [], []]
E_{978}(Q)_{tors}=[1, [], []]
E_{979}(Q)_{tors}=[1, [], []]
E_{980}(Q)_{tors}=[1, [], []]
E_{981}(Q)_{tors}=[1, [], []]
E_{982}(Q)_{tors}=[1, [], []]
E_{983}(Q)_{tors}=[1, [], []]
E_{984}(Q)_{tors}=[1, [], []]
E_{985}(Q)_{tors}=[1, [], []]
E_{986}(Q)_{tors}=[1, [], []]
E_{987}(Q)_{tors}=[1, [], []]
E_{988}(Q)_{tors}=[1, [], []]
E_{989}(Q)_{tors}=[1, [], []]
E_{990}(Q)_{tors}=[1, [], []]
E_{991}(Q)_{tors}=[1, [], []]
E_{992}(Q)_{tors}=[1, [], []]
E_{993}(Q)_{tors}=[1, [], []]
E_{994}(Q)_{tors}=[1, [], []]
E_{995}(Q)_{tors}=[1, [], []]
E_{996}(Q)_{tors}=[1, [], []]
E_{997}(Q)_{tors}=[1, [], []]
E_{998}(Q)_{tors}=[1, [], []]
E_{999}(Q)_{tors}=[1, [], []]
E_{1000}(Q)_{tors}=[3, [3], [[-10920, 32760]]]
time = 33 ms.

楕円曲線E_nの有理点は、CremonaのmwrankまたはMAGMA Calculator(4-descent)を使って求める。
ただし、そのMordell-Weil群E_n(Q)がrank 1の場合は、pari/gpのellheegner()関数で求めても良い。特に、n=842の場合は、生成元の高さがかなり大きいので、ellheegner()を使う必要があった。

n \in [1..1000]の範囲では、n=842の場合が、C_n(Q)の生成元の高さが最大になる。
つまり、u³+v³-3uv=842の有理点は、
(-93804047650833295089930218886701875788303993818590038888526999801221747906257/9900423576558002178099215078377162993315633649898741383051143076023969809, 245965313978981039879668493946060263550072797745075854049750574317122545813216455257734039278790434261901293419020/31151621940825380751044570937311715522749721539360595422347458675686033838262356383084351928468302031809130873)
height 175.11856103727418603289887775744211435
である。

[pari/gpによる計算]

gp> e=ec(842)
%2127 = [0, 30321, 0, 306636192, 1033977239424, 121284, 613272384, 4135908957696, 31379141262039552, -8728560, 263833661376, -40667367075603259392, 305501115375/18682330522, Vecsmall([1]), [Vecsmall([128, -1])], [0, 0, 0, 0, 0, 0, 0, 0]]
gp> P=ellheegner(e)
time = 8min, 2,424 ms.
%2128 = [-93804047650833295089930218886701875788303993818590038888526999801221747906257/9900423576558002178099215078377162993315633649898741383051143076023969809, 245965313978981039879668493946060263550072797745075854049750574317122545813216455257734039278790434261901293419020/31151621940825380751044570937311715522749721539360595422347458675686033838262356383084351928468302031809130873]
gp> ellheight(e,P)
time = 1 ms.
%2129 = 175.11856103727418603289887775744211435
gp> pp(P)
%2130 = [-295153859462833905466468401769932870585242792672548555053209548752449010639703062365414336321479436071231306563129, 245965313978981039879668493946060263550072797745075854049750574317122545813216455257734039278790434261901293419020, 31151621940825380751044570937311715522749721539360595422347458675686033838262356383084351928468302031809130873]
(14:20) gp > Q=ggg(P,842)
%2131 = [1131426892367482756279073699255858875305801175762721519209379220574469577732325642353977048243228742475595213108407/119855688543333877266590866991474661857360342517739369435544059264745446008953608835201806721435443695299168088834, 639496264409520676519736711363738348205655580272569811109878071940224486105892731838508969685647873951792626270367/119855688543333877266590866991474661857360342517739369435544059264745446008953608835201806721435443695299168088834]
gp> pp(Q)
%2132 = [1131426892367482756279073699255858875305801175762721519209379220574469577732325642353977048243228742475595213108407, 639496264409520676519736711363738348205655580272569811109878071940224486105892731838508969685647873951792626270367, 119855688543333877266590866991474661857360342517739369435544059264745446008953608835201806721435443695299168088834]

■n \in [1..1000]について、楕円曲線E_n, C_nの有理点、および、C_nの整点をまとめると、以下のようになる。

n	[a₁,a₂,a₃,a₄,a₆], conductor(E_n) E_n(Q)_tors E_n(Q)_torsの生成元	rank E_n(Q)	E_n:y²z=x³+9(4n+1)x²z+432n(n+1)xz²+1728n(n+1)²z³ 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	C_n:u³+v³-3uvw=nw³ C_n(Q)/C_n(Q)_torsの生成元 [u:v:w]	C_n:u³+v³-3uv=n C_nの整点 [u,v](u,v∈Z)	n
1	[0, 45, 0, 864, 6912] 54 Z/3Z [[-12, 36]]	0	-	-	-	[1, 0], [0, 1]	1
2	[0, 81, 0, 2592, 31104] 162 {O} []	0	-	-	-	-	2
3	[0, 117, 0, 5184, 82944] 162 {O} []	1	[0 : 288 : 1]	0.10197829462292	[1 : -1 : 1]	[1, -1], [-1, 1], [2, 1], [1, 2]	3
4	[0, 153, 0, 8640, 172800] 90 Z/2Z [[-48, 0]]	0	-	-	-	[2, 2]	4
5	[0, 189, 0, 12960, 311040] 810 {O} []	0	-	-	-	-	5
6	[0, 225, 0, 18144, 508032] 1134 {O} []	0	-	-	-	-	6
7	[0, 261, 0, 24192, 774144] 378 {O} []	0	-	-	-	-	7
8	[0, 297, 0, 31104, 1119744] 54 Z/3Z [[-72, 216]]	0	-	-	-	[2, 0], [0, 2]	8
9	[0, 333, 0, 38880, 1555200] 270 {O} []	0	-	-	-	-	9
10	[0, 369, 0, 47520, 2090880] 2970 {O} []	0	-	-	-	-	10
11	[0, 405, 0, 57024, 2737152] 1782 {O} []	0	-	-	-	-	11
12	[0, 441, 0, 67392, 3504384] 2106 {O} []	1	[0 : -1872 : 1]	0.26246659645665	[-2 : 2 : 1]	[-2, 2], [2, -2]	12
13	[0, 477, 0, 78624, 4402944] 1638 {O} []	1	[-84 : -756 : 1]	0.36137976561988	[-1 : 2 : 1]	[-1, 2], [2, -1]	13
14	[0, 513, 0, 90720, 5443200] 5670 {O} []	1	[-3471 : 9890 : 27]	6.60886508642363	[20303 : 523 : 8334]	-	14
15	[0, 549, 0, 103680, 6635520] 810 {O} []	1	[-128 : -512 : 1]	1.08739838650054	[-1 : 7 : 3]	-	15
16	[0, 585, 0, 117504, 7990272] 918 {O} []	0	-	-	-	-	16
17	[0, 621, 0, 132192, 9517824] 918 {O} []	1	[-180 : 108 : 1]	0.74429777920737	[3 : 2 : 1]	[3, 2], [2, 3]	17
18	[0, 657, 0, 147744, 11228544] 1026 {O} []	0	-	-	-	-	18
19	[0, 693, 0, 164160, 13132800] 5130 {O} []	1	[-192 : 288 : 1]	0.59444282460938	[3 : 1 : 1]	[3, 1], [1, 3]	19
20	[0, 729, 0, 181440, 15240960] 5670 {O} []	0	-	-	-	-	20
21	[0, 765, 0, 199584, 17563392] 12474 {O} []	0	-	-	-	-	21
22	[0, 801, 0, 218592, 20110464] 4554 {O} []	1	[-93 : 2430 : 1]	3.73084906377088	[301 : -239 : 122]	-	22
23	[0, 837, 0, 238464, 22892544] 3726 {O} []	0	-	-	-	-	23
24	[0, 873, 0, 259200, 25920000] 810 {O} []	1	[-200 : -1000 : 1]	0.68982604035414	[-2 : 8 : 3]	-	24
25	[0, 909, 0, 280800, 29203200] 3510 {O} []	1	[-260 : 260 : 1]	0.72249139481140	[10 : 5 : 3]	-	25
26	[0, 945, 0, 303264, 32752512] 234 {O} []	0	-	-	-	-	26
27	[0, 981, 0, 326592, 36578304] 14 Z/6Z [[0, 6048]]	0	-	-	-	[3, -3], [-3, 3], [3, 0], [0, 3], [3, 3]	27
28	[0, 1017, 0, 350784, 40690944] 10962 {O} []	0	-	-	-	-	28
29	[0, 1053, 0, 375840, 45100800] 23490 {O} []	0	-	-	-	-	29
30	[0, 1089, 0, 401760, 49818240] 25110 {O} []	0	-	-	-	-	30
31	[0, 1125, 0, 428544, 54853632] 558 {O} []	0	-	-	-	-	31
32	[0, 1161, 0, 456192, 60217344] 1782 {O} []	0	-	-	-	-	32
33	[0, 1197, 0, 484704, 65919744] 30294 {O} []	1	[-317 : 836 : 1]	4.98603135605760	[1787 : 115 : 546]	-	33
34	[0, 1233, 0, 514080, 71971200] 32130 {O} []	0	-	-	-	-	34
35	[0, 1269, 0, 544320, 78382080] 1890 {O} []	1	[-288 : -1728 : 1]	0.65885144843433	[-1 : 3 : 1]	[-1, 3], [3, -1]	35
36	[0, 1305, 0, 575424, 85162752] 1998 {O} []	0	-	-	-	-	36
37	[0, 1341, 0, 607392, 92323584] 37962 {O} []	2	[-380 : 532 : 1], [-372 : 684 : 1]	1.58524471516873, 2.13081901504806	[11 : 4 : 3], [25 : 6 : 7]	[-2, 3], [3, -2]	37
38	[0, 1377, 0, 640224, 99874944] 40014 {O} []	0	-	-	-	-	38
39	[0, 1413, 0, 673920, 107827200] 10530 {O} []	0	-	-	-	-	39
40	[0, 1449, 0, 708480, 116190720] 3690 {O} []	1	[-408 : 648 : 1]	1.51251771393728	[26 : 8 : 7]	-	40
41	[0, 1485, 0, 743904, 124975872] 46494 {O} []	1	[28 : 12124 : 1]	3.68167012594225	[215 : -218 : 57]	-	41
42	[0, 1521, 0, 780192, 134193024] 48762 {O} []	1	[-173 : 6290 : 1]	5.98125944719113	[6809 : -5771 : 2058]	-	42
43	[0, 1557, 0, 817344, 143852544] 25542 {O} []	0	-	-	-	-	43
44	[0, 1593, 0, 855360, 153964800] 2970 {O} []	0	-	-	-	-	44
45	[0, 1629, 0, 894240, 164540160] 6210 {O} []	1	[-473 : 442 : 1]	5.02375916869001	[1861 : 977 : 474]	-	45
46	[0, 1665, 0, 933984, 175588992] 58374 {O} []	0	-	-	-	-	46
47	[0, 1701, 0, 974592, 187121664] 7614 {O} []	0	-	-	-	-	47
48	[0, 1737, 0, 1016064, 199148544] 1134 {O} []	1	[-504 : -504 : 1]	0.08202284677358	[2 : 4 : 1]	[2, 4], [4, 2], [4, -4], [-4, 4]	48
49	[0, 1773, 0, 1058400, 211680000] 630 Z/2Z [[-525, 0]]	0	-	-	-	-	49
50	[0, 1809, 0, 1101600, 224726400] 13770 {O} []	1	[-14271 : 11726 : 27]	7.28422046834854	[54539 : 31087 : 13518]	-	50
51	[0, 1845, 0, 1145664, 238298112] 35802 {O} []	0	-	-	-	-	51
52	[0, 1881, 0, 1190592, 252405504] 37206 {O} []	1	[-14451 : 22420 : 27]	7.38438207841127	[65773 : 20933 : 16326]	-	52
53	[0, 1917, 0, 1236384, 267058944] 954 {O} []	1	[-540 : 972 : 1]	0.54554301558263	[4 : 1 : 1]	[4, 1], [1, 4]	53
54	[0, 1953, 0, 1283040, 282268800] 110 {O} []	0	-	-	-	-	54
55	[0, 1989, 0, 1330560, 298045440] 20790 {O} []	1	[-588 : 252 : 1]	0.97785637974854	[4 : 3 : 1]	[4, 3], [3, 4]	55
56	[0, 2025, 0, 1378944, 314399232] 21546 {O} []	0	-	-	-	-	56
57	[0, 2061, 0, 1428192, 331340544] 89262 {O} []	2	[-612 : 36 : 1], [-540 : 1908 : 1]	2.28903772065145, 2.60232704644831	[26 : 25 : 7], [49 : -4 : 13]	-	57
58	[0, 2097, 0, 1478304, 348879744] 30798 {O} []	1	[-16539 : 15652 : 27]	7.39821162605079	[65269 : 33965 : 15462]	-	58
59	[0, 2133, 0, 1529280, 367027200] 47790 {O} []	0	-	-	-	-	59
60	[0, 2169, 0, 1581120, 385793280] 49410 {O} []	1	[-608 : 1232 : 1]	3.60606672488310	[382 : 74 : 93]	-	60
61	[0, 2205, 0, 1633824, 405188352] 102114 {O} []	1	[403 : 38564 : 1]	4.80972801470224	[1205 : -1283 : 222]	-	61
62	[0, 2241, 0, 1687392, 425222784] 11718 {O} []	0	-	-	-	-	62
63	[0, 2277, 0, 1741824, 445906944] 378 {O} []	1	[-512 : -4096 : 1]	1.30297344252637	[-5 : 11 : 3]	-	63
64	[0, 2313, 0, 1797120, 467251200] 3510 Z/3Z [[-624, 1872]]	0	-	-	-	[4, 0], [0, 4]	64
65	[0, 2349, 0, 1853280, 489265920] 115830 {O} []	1	[6359274 : -473777549 : 5832]	13.3552444945831	[-492855371 : 454699727 : 65869308]	-	65
66	[0, 2385, 0, 1910304, 511961472] 119394 {O} []	0	-	-	-	-	66
67	[0, 2421, 0, 1968192, 535348224] 20502 {O} []	0	-	-	-	-	67
68	[0, 2457, 0, 2026944, 559436544] 63342 {O} []	1	[-11184 : 226432 : 27]	6.65910813694411	[32498 : -24110 : 8379]	-	68
69	[0, 2493, 0, 2086560, 584236800] 130410 {O} []	0	-	-	-	-	69
70	[0, 2529, 0, 2147040, 609759360] 134190 {O} []	0	-	-	-	-	70
71	[0, 2565, 0, 2208384, 636014592] 3834 {O} []	1	[-612 : 3996 : 1]	2.23690761925383	[27 : -10 : 7]	-	71
72	[0, 2601, 0, 2270592, 663012864] 3942 {O} []	0	-	-	-	-	72
73	[0, 2637, 0, 2333664, 690764544] 145854 {O} []	2	[-777 : 666 : 1], [-740 : 1628 : 1]	1.48070691780393, 1.70103798711049	[9 : 5 : 2], [13 : 2 : 3]	[-3, 4], [4, -3]	73
74	[0, 2673, 0, 2397600, 719280000] 29970 {O} []	1	[-5181225 : -58163750 : 9261]	9.72581698651790	[-1704803 : 2948297 : 756882]	-	74
75	[0, 2709, 0, 2462400, 748569600] 15390 {O} []	1	[0 : 27360 : 1]	0.23733350101126	[5 : -5 : 1]	[5, -5], [-5, 5], [4, -1], [-1, 4]	75
76	[0, 2745, 0, 2528064, 778643712] 26334 {O} []	0	-	-	-	-	76
77	[0, 2781, 0, 2594592, 809512704] 162162 {O} []	0	-	-	-	-	77
78	[0, 2817, 0, 2661984, 841186944] 166374 {O} []	1	[-737 : 3016 : 1]	5.72207104095453	[5227 : -805 : 1266]	-	78
79	[0, 2853, 0, 2730240, 873676800] 21330 {O} []	0	-	-	-	-	79
80	[0, 2889, 0, 2799360, 906992640] 90 Z/4Z [[-648, 5832]]	0	-	-	-	[4, -2], [-2, 4], [4, 4]	80
81	[0, 2925, 0, 2869344, 941144832] 246 {O} []	0	-	-	-	-	81
82	[0, 2961, 0, 2940192, 976143744] 183762 {O} []	0	-	-	-	-	82
83	[0, 2997, 0, 3011904, 1011999744] 94122 {O} []	1	[-896 : 224 : 1]	1.68140828922537	[13 : 11 : 3]	-	83
84	[0, 3033, 0, 3084480, 1048723200] 96390 {O} []	1	[-848 : 2080 : 1]	3.88684902930020	[578 : 58 : 129]	-	84
85	[0, 3069, 0, 3157920, 1086324480] 65790 {O} []	0	-	-	-	-	85
86	[0, 3105, 0, 3232224, 1124813952] 202014 {O} []	1	[7017127238854086019724025 : 602638189965051600598265188 : 4982665032552024984375]	41.1438553491453	[581586808248489342539093113 : -623689571681613858657437263 : 73314177197030400620469150]	-	86
87	[0, 3141, 0, 3307392, 1164201984] 51678 {O} []	1	[-353 : 18550 : 1]	6.67259734217624	[19609 : -17491 : 4218]	-	87
88	[0, 3177, 0, 3383424, 1204498944] 52866 {O} []	1	[-21624 : 117208 : 27]	6.25475509205400	[22760 : -6542 : 5409]	-	88
89	[0, 3213, 0, 3460320, 1245715200] 24030 {O} []	0	-	-	-	-	89
90	[0, 3249, 0, 3538080, 1287861120] 24570 {O} []	0	-	-	-	-	90
91	[0, 3285, 0, 3616704, 1330947072] 113022 {O} []	0	-	-	-	-	91
92	[0, 3321, 0, 3696192, 1374983424] 115506 {O} []	2	[-992 : 496 : 1], [4960 : 472688 : 1]	1.46512290588117, 4.70344309622132	[14 : 10 : 3], [1846 : -1966 : 147]	-	92
93	[0, 3357, 0, 3776544, 1419980544] 236034 {O} []	0	-	-	-	-	93
94	[0, 3393, 0, 3857760, 1465948800] 80370 {O} []	0	-	-	-	-	94
95	[0, 3429, 0, 3939840, 1512898560] 15390 {O} []	1	[30729 : 2946916 : 27]	9.97079342450994	[2854729 : -3039103 : 370998]	-	95
96	[0, 3465, 0, 4022784, 1560840192] 15714 {O} []	0	-	-	-	-	96
97	[0, 3501, 0, 4106592, 1609784064] 36666 {O} []	1	[-980 : 2548 : 1]	1.75485073790191	[14 : 1 : 3]	-	97
98	[0, 3537, 0, 4191264, 1659740544] 4158 {O} []	0	-	-	-	-	98
99	[0, 3573, 0, 4276800, 1710720000] 2970 {O} []	1	[-800 : 8000 : 1]	1.38129776346242	[13 : -7 : 3]	-	99
100	[0, 3609, 0, 4363200, 1762732800] 27270 {O} []	0	-	-	-	-	100
101	[0, 3645, 0, 4450464, 1815789312] 278154 {O} []	0	-	-	-	-	101
102	[0, 3681, 0, 4538592, 1869899904] 283662 {O} []	0	-	-	-	-	102
103	[0, 3717, 0, 4627584, 1925074944] 24102 {O} []	1	[-1092 : 1404 : 1]	0.88951758408829	[5 : 2 : 1]	[5, 2], [2, 5]	103
104	[0, 3753, 0, 4717440, 1981324800] 73710 {O} []	0	-	-	-	-	104
105	[0, 3789, 0, 4808160, 2038659840] 300510 {O} []	0	-	-	-	-	105
106	[0, 3825, 0, 4899744, 2097090432] 306234 {O} []	1	[-299967901878773591151215865 : -4866063354537952129711122554 : 398267262713855097064125]	42.6828618560810	[5765967060174272903164770149 : -3966159648901631356257474959 : 1268443580674898120874723810]	-	106
107	[0, 3861, 0, 4992192, 2156626944] 1926 {O} []	1	[-1152 : 864 : 1]	0.98621030623823	[5 : 3 : 1]	[5, 3], [3, 5]	107
108	[0, 3897, 0, 5085504, 2217279744] 218 {O} []	1	[0 : 47088 : 1]	0.19110484915303	[6 : -6 : 1]	[6, -6], [-6, 6]	108
109	[0, 3933, 0, 5179680, 2279059200] 323730 {O} []	1	[636 : 86148 : 1]	4.77591416920679	[1170 : -1223 : 163]	-	109
110	[0, 3969, 0, 5274720, 2341975680] 329670 {O} []	1	[-10162509 : -31728320 : 9261]	11.9655142187677	[-1240793 : 62215847 : 13038858]	-	110
111	[0, 4005, 0, 5370624, 2406039552] 41958 {O} []	1	[-1152 : 2304 : 1]	0.83396464684536	[5 : 1 : 1]	[5, 1], [1, 5]	111
112	[0, 4041, 0, 5467392, 2471261184] 14238 {O} []	1	[-1128 : 3240 : 1]	2.31011805790235	[92 : 2 : 19]	-	112
113	[0, 4077, 0, 5565024, 2537650944] 347814 {O} []	1	[-380 : 30932 : 1]	3.64641474910638	[211 : -196 : 39]	-	113
114	[0, 4113, 0, 5663520, 2605219200] 353970 {O} []	2	[-1073 : 5320 : 1], [-1209710 : 1634633 : 1000]	6.05719836194066, 10.3163203815885	[8539 : -2101 : 1842], [5263763 : 1994497 : 1021740]	-	114
115	[0, 4149, 0, 5762880, 2673976320] 180090 {O} []	1	[-30048 : 123200 : 27]	5.76743608136973	[6667 : -1033 : 1413]	-	115
116	[0, 4185, 0, 5863104, 2743932672] 20358 {O} []	0	-	-	-	-	116
117	[0, 4221, 0, 5964192, 2815098624] 41418 {O} []	1	[-111445 : 1500866 : 125]	9.67763710411855	[1835201 : -1166531 : 393330]	-	117
118	[0, 4257, 0, 6066144, 2887484544] 379134 {O} []	1	[-1281 : 504 : 1]	2.89243363732548	[69 : 53 : 14]	-	118
119	[0, 4293, 0, 6168960, 2961100800] 96390 {O} []	1	[14991999 : 2864692090 : 35937]	14.5742141389208	[2819716093 : -2909668087 : 400447674]	-	119
120	[0, 4329, 0, 6272640, 3035957760] 8910 {O} []	1	[-968 : 10648 : 1]	0.95383694508996	[14 : -8 : 3]	-	120
121	[0, 4365, 0, 6377184, 3112065792] 12078 {O} []	1	[-732 : 19764 : 1]	0.96399330598783	[5 : -4 : 1]	[5, -4], [-4, 5]	121
122	[0, 4401, 0, 6482592, 3189435264] 405162 {O} []	1	[4592456744600505 : 461723532683169448 : 1223326452375]	27.1366208102135	[447946162449367933 : -475500902916970963 : 38388519529836030]	-	122
123	[0, 4437, 0, 6588864, 3268076544] 205902 {O} []	0	-	-	-	-	123
124	[0, 4473, 0, 6696000, 3348000000] 8370 {O} []	1	[-96 : 1556720 : 27]	7.84509398157031	[194626 : -194554 : 30303]	-	124
125	[0, 4509, 0, 6804000, 3429216000] 1890 Z/3Z [[-1260, 3780]]	0	-	-	-	[5, 0], [0, 5]	125
126	[0, 4545, 0, 6912864, 3511734912] 48006 {O} []	1	[-1350110 : 1498013 : 1000]	10.3606610514621	[5548343 : 2552317 : 1043340]	-	126
127	[0, 4581, 0, 7022592, 3595567104] 6858 {O} []	1	[-1380 : 612 : 1]	2.85688263511896	[66 : 49 : 13]	-	127
128	[0, 4617, 0, 7133184, 3680722944] 6966 {O} []	1	[-1376 : 1376 : 1]	0.67372168783356	[16 : 8 : 3]	-	128
129	[0, 4653, 0, 7244640, 3767212800] 452790 {O} []	1	[-1404 : 468 : 1]	1.15267459138258	[5 : 4 : 1]	[5, 4], [4, 5]	129
130	[0, 4689, 0, 7356960, 3855047040] 153270 {O} []	0	-	-	-	-	130
131	[0, 4725, 0, 7470144, 3944236032] 233442 {O} []	0	-	-	-	-	131
132	[0, 4761, 0, 7584192, 4034790144] 237006 {O} []	0	-	-	-	-	132
133	[0, 4797, 0, 7699104, 4126719744] 481194 {O} []	0	-	-	-	-	133
134	[0, 4833, 0, 7814880, 4220035200] 6030 {O} []	0	-	-	-	-	134
135	[0, 4869, 0, 7931520, 4314746880] 170 {O} []	0	-	-	-	-	135
136	[0, 4905, 0, 8049024, 4410865152] 125766 {O} []	0	-	-	-	-	136
137	[0, 4941, 0, 8167392, 4508400384] 510462 {O} []	0	-	-	-	-	137
138	[0, 4977, 0, 8286624, 4607362944] 517914 {O} []	0	-	-	-	-	138
139	[0, 5013, 0, 8406720, 4707763200] 87570 {O} []	1	[-1344 : -6048 : 1]	0.79098982185406	[-1 : 5 : 1]	[-1, 5], [5, -1]	139
140	[0, 5049, 0, 8527680, 4809611520] 266490 {O} []	0	-	-	-	-	140
141	[0, 5085, 0, 8649504, 4912918272] 540594 {O} []	1	[1310595130 : 241615095749 : 2197000]	17.5254499583401	[237683310359 : -245546881139 : 30325698780]	-	141
142	[0, 5121, 0, 8772192, 5017693824] 548262 {O} []	0	-	-	-	-	142
143	[0, 5157, 0, 8895744, 5123948544] 7722 {O} []	1	[-1152 : 13824 : 1]	0.89883606735359	[5 : -3 : 1]	[5, -3], [-3, 5]	143
144	[0, 5193, 0, 9020160, 5231692800] 7830 {O} []	1	[-1448 : 4760 : 1]	4.17463619770500	[1138 : -52 : 219]	-	144
145	[0, 5229, 0, 9145440, 5340936960] 571590 {O} []	1	[-1533 : 2628 : 1]	1.59306753346004	[11 : 3 : 2]	-	145
146	[0, 5265, 0, 9271584, 5451691392] 82782 {O} []	0	-	-	-	-	146
147	[0, 5301, 0, 9398592, 5563966464] 41958 {O} []	1	[0 : 74592 : 1]	0.27744508063519	[7 : -7 : 1]	[7, -7], [-7, 7], [5, -2], [-2, 5]	147
148	[0, 5337, 0, 9526464, 5677772544] 99234 {O} []	1	[-597 : 40986 : 1]	5.53500830525910	[4753 : -4355 : 794]	-	148
149	[0, 5373, 0, 9655200, 5793120000] 120690 {O} []	0	-	-	-	-	149
150	[0, 5409, 0, 9784800, 5910019200] 122310 {O} []	1	[-1565 : 3410 : 1]	5.18907467357343	[8105 : 1285 : 1482]	-	150
151	[0, 5445, 0, 9915264, 6028480512] 154926 {O} []	1	[-2196172 : 565516 : 1331]	7.26677456462106	[47066 : 39625 : 9141]	-	151
152	[0, 5481, 0, 10046592, 6148514304] 17442 {O} []	0	-	-	-	-	152
153	[0, 5517, 0, 10178784, 6270130944] 70686 {O} []	0	-	-	-	-	153
154	[0, 5553, 0, 10311840, 6393340800] 644490 {O} []	0	-	-	-	-	154
155	[0, 5589, 0, 10445760, 6518154240] 326430 {O} []	2	[-1664 : 2080 : 1], [-1508 : 6812 : 1]	1.77759018185561, 3.14395534627812	[17 : 7 : 3], [109 : -22 : 21]	-	155
156	[0, 5625, 0, 10580544, 6644581632] 330642 {O} []	0	-	-	-	-	156
157	[0, 5661, 0, 10716192, 6772633344] 223254 {O} []	1	[-1580 : 5372 : 1]	1.85269359034300	[16 : -1 : 3]	-	157
158	[0, 5697, 0, 10852704, 6902319744] 678294 {O} []	1	[7406610855 : 875107870624 : 1157625]	18.3473376361997	[852888038059 : -897327703189 : 57692156130]	-	158
159	[0, 5733, 0, 10990080, 7033651200] 42930 {O} []	1	[-375618 : 106865 : 216]	9.44042921052291	[1233719 : 1019989 : 234612]	-	159
160	[0, 5769, 0, 11128320, 7166638080] 43470 {O} []	0	-	-	-	-	160
161	[0, 5805, 0, 11267424, 7301290752] 2898 {O} []	0	-	-	-	-	161
162	[0, 5841, 0, 11407392, 7437619584] 978 {O} []	0	-	-	-	-	162
163	[0, 5877, 0, 11548224, 7575634944] 360882 {O} []	1	[-1740 : 2628 : 1]	3.12550330783235	[109 : 36 : 19]	-	163
164	[0, 5913, 0, 11689920, 7715347200] 365310 {O} []	1	[-48471 : 12410 : 27]	8.07465531719641	[157823 : 133003 : 29934]	-	164
165	[0, 5949, 0, 11832480, 7856766720] 739530 {O} []	1	[-8854 : 210511 : 8]	8.31911314431091	[237073 : -183949 : 42492]	-	165
166	[0, 5985, 0, 11975904, 7999903872] 249498 {O} []	1	[-51645156412740 : 1693458368429643 : 52313624000]	21.8582786637046	[205377093074207 : -170946988799047 : 35460897388840]	-	166
167	[0, 6021, 0, 12120192, 8144769024] 189378 {O} []	1	[-980 : 33292 : 1]	4.38578766561580	[647 : -542 : 111]	-	167
168	[0, 6057, 0, 12265344, 8291372544] 14742 {O} []	1	[-1352 : 17576 : 1]	1.01614760371040	[16 : -10 : 3]	-	168
169	[0, 6093, 0, 12411360, 8439724800] 59670 {O} []	0	-	-	-	-	169
170	[0, 6129, 0, 12558240, 8589836160] 87210 {O} []	1	[-1773 : 4158 : 1]	3.90188523653356	[351 : 43 : 62]	-	170
171	[0, 6165, 0, 12705984, 8741716992] 44118 {O} []	0	-	-	-	-	171
172	[0, 6201, 0, 12854592, 8895377664] 401706 {O} []	0	-	-	-	-	172
173	[0, 6237, 0, 13004064, 9050828544] 812754 {O} []	0	-	-	-	-	173
174	[0, 6273, 0, 13154400, 9208080000] 164430 {O} []	0	-	-	-	-	174
175	[0, 6309, 0, 13305600, 9367142400] 6930 Z/2Z [[-1920, 0]]	1	[-705 : 52650 : 1]	4.89205961970145	[6085 : -5615 : 938]	[5, 5]	175
176	[0, 6345, 0, 13457664, 9528026112] 105138 {O} []	1	[-3910440 : -101127592 : 3375]	10.5232650902066	[-11174534 : 14107364 : 2443545]	-	176
177	[0, 6381, 0, 13610592, 9690741504] 850662 {O} []	1	[-91508692 : 2943018505 : 85184]	14.6643691079041	[3217544581 : -2668492429 : 542665992]	-	177
178	[0, 6417, 0, 13764384, 9855298944] 860274 {O} []	1	[196372333524 : 23660398499093 : 51478848]	20.5533761038029	[23071281498521 : -24249515499665 : 1841693394168]	-	178
179	[0, 6453, 0, 13919040, 10021708800] 48330 {O} []	1	[-1152 : 31968 : 1]	2.42886421517842	[41 : -33 : 7]	-	179
180	[0, 6489, 0, 14074560, 10189981440] 48870 {O} []	1	[-1808 : 6688 : 1]	4.54243149807777	[1514 : -158 : 273]	-	180
181	[0, 6525, 0, 14230944, 10360127232] 889434 {O} []	1	[-1092 : 36036 : 1]	1.26410137198014	[6 : -5 : 1]	[6, -5], [-5, 6]	181
182	[0, 6561, 0, 14388192, 10532156544] 899262 {O} []	1	[-74352668760 : 689040943723 : 46656000]	18.4055021463401	[912098950003 : -465982937443 : 168623443440]	-	182
183	[0, 6597, 0, 14546304, 10706079744] 227286 {O} []	0	-	-	-	-	183
184	[0, 6633, 0, 14705280, 10881907200] 76590 {O} []	0	-	-	-	-	184
185	[0, 6669, 0, 14865120, 11059649280] 929070 {O} []	0	-	-	-	-	185
186	[0, 6705, 0, 15025824, 11239316352] 939114 {O} []	0	-	-	-	-	186
187	[0, 6741, 0, 15187392, 11420918784] 474606 {O} []	1	[-12290208 : 262051840 : 9261]	10.6499098971315	[9341327 : -7036913 : 1612989]	-	187
188	[0, 6777, 0, 15349824, 11604466944] 5922 {O} []	1	[-2016 : 3024 : 1]	0.84699170587939	[6 : 2 : 1]	[6, 2], [2, 6]	188
189	[0, 6813, 0, 15513120, 11789971200] 1330 {O} []	1	[-2052 : 2052 : 1]	0.47937251448116	[6 : 3 : 1]	[6, 3], [3, 6]	189
190	[0, 6849, 0, 15677280, 11977441920] 979830 {O} []	1	[-4929318 : 320270705 : 5832]	13.1562626964101	[335058659 : -305482751 : 50625756]	-	190
191	[0, 6885, 0, 15842304, 12166889472] 30942 {O} []	0	-	-	-	-	191
192	[0, 6921, 0, 16008192, 12358324224] 31266 {O} []	1	[0 : 111168 : 1]	0.40970992347103	[8 : -8 : 1]	[8, -8], [-8, 8]	192
193	[0, 6957, 0, 16174944, 12551756544] 336978 {O} []	1	[-1940 : 7372 : 1]	1.89706200192597	[17 : -2 : 3]	-	193
194	[0, 6993, 0, 16342560, 12747196800] 1021410 {O} []	0	-	-	-	-	194
195	[0, 7029, 0, 16511040, 12944655360] 73710 {O} []	1	[-1568 : 21952 : 1]	1.50650967021566	[17 : -11 : 3]	-	195
196	[0, 7065, 0, 16680384, 13144142592] 74466 {O} []	1	[-7237335 : -4612384 : 3375]	10.4637739825273	[17099621 : 26324389 : 4446990]	-	196
197	[0, 7101, 0, 16850592, 13345668864] 117018 {O} []	0	-	-	-	-	197
198	[0, 7137, 0, 17021664, 13549244544] 118206 {O} []	1	[-208045 : 2432836 : 125]	10.0080556440757	[3056971 : -1808701 : 542730]	-	198
199	[0, 7173, 0, 17193600, 13754880000] 53730 {O} []	1	[-2100 : 4500 : 1]	0.92074781992158	[6 : 1 : 1]	[6, 1], [1, 6]	199
200	[0, 7209, 0, 17366400, 13962585600] 54270 {O} []	0	-	-	-	-	200
201	[0, 7245, 0, 17540064, 14172371712] 1096254 {O} []	0	-	-	-	-	201
202	[0, 7281, 0, 17714592, 14384248704] 369054 {O} []	0	-	-	-	-	202
203	[0, 7317, 0, 17889984, 14598226944] 559062 {O} []	1	[-56544 : 167552 : 27]	6.05922901452846	[10537 : 65 : 1791]	-	203
204	[0, 7353, 0, 18066240, 14814316800] 564570 {O} []	0	-	-	-	-	204
205	[0, 7389, 0, 18243360, 15032528640] 1140210 {O} []	0	-	-	-	-	205
206	[0, 7425, 0, 18421344, 15252872832] 127926 {O} []	0	-	-	-	-	206
207	[0, 7461, 0, 18600192, 15475359744] 16146 {O} []	0	-	-	-	-	207
208	[0, 7497, 0, 18779904, 15699999744] 146718 {O} []	1	[-2280 : 1368 : 1]	0.72525763748769	[6 : 4 : 1]	[6, 4], [4, 6]	208
209	[0, 7533, 0, 18960480, 15926803200] 1185030 {O} []	0	-	-	-	-	209
210	[0, 7569, 0, 19141920, 16155780480] 1196370 {O} []	1	[-2273 : 2852 : 1]	6.12441384525067	[9671 : 3967 : 1554]	-	210
211	[0, 7605, 0, 19324224, 16386941952] 201294 {O} []	0	-	-	-	-	211
212	[0, 7641, 0, 19507392, 16620297984] 609606 {O} []	1	[7013502868395 : -1187596513054378 : 350402625]	23.1474804729457	[-1208637021659563 : 1166556004449193 : 47454791867370]	-	212
213	[0, 7677, 0, 19691424, 16855858944] 1230714 {O} []	1	[-51999 : 438292 : 27]	8.90481475147897	[594289 : -282295 : 104022]	-	213
214	[0, 7713, 0, 19876320, 17093635200] 1242270 {O} []	0	-	-	-	-	214
215	[0, 7749, 0, 20062080, 17333637120] 3870 {O} []	0	-	-	-	-	215
216	[0, 7785, 0, 20248704, 17575875072] 434 Z/3Z [[-2232, 6696]]	0	-	-	-	[6, 0], [0, 6]	216
217	[0, 7821, 0, 20436192, 17820359424] 1277262 {O} []	1	[6540 : 875052 : 1]	3.16019093994437	[109 : -114 : 7]	-	217
218	[0, 7857, 0, 20624544, 18067100544] 1289034 {O} []	0	-	-	-	-	218
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220	[0, 7929, 0, 21003840, 18567394560] 218790 {O} []	1	[-2208 : 9072 : 1]	3.07107241446616	[218 : -34 : 37]	-	220
221	[0, 7965, 0, 21194784, 18820968192] 1324674 {O} []	0	-	-	-	-	221
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223	[0, 8037, 0, 21579264, 19335020544] 84294 {O} []	1	[-2156 : 12124 : 1]	3.89461876285124	[332 : -101 : 57]	-	223
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225	[0, 8109, 0, 21967200, 19858348800] 30510 {O} []	1	[-905 : 76670 : 1]	6.78321797046179	[79385 : -73955 : 10842]	-	225
226	[0, 8145, 0, 22162464, 20123517312] 1385154 {O} []	0	-	-	-	-	226
227	[0, 8181, 0, 22358592, 20391035904] 698706 {O} []	1	[-2432 : 4256 : 1]	1.84392017594894	[19 : 5 : 3]	-	227
228	[0, 8217, 0, 22555584, 20660914944] 704862 {O} []	0	-	-	-	-	228
229	[0, 8253, 0, 22753440, 20933164800] 474030 {O} []	0	-	-	-	-	229
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233	[0, 8397, 0, 23553504, 22046079744] 163566 {O} []	2	[-2340 : 9828 : 1], [-2556 : 1836 : 1]	1.20632742452945, 2.56271313052309	[6 : -1 : 1], [44 : 27 : 7]	[6, -1], [-1, 6]	233
234	[0, 8433, 0, 23755680, 22330339200] 164970 {O} []	2	[-2573 : 1450 : 1], [7466 : 1835785 : 8]	6.13827064468613, 9.66000971276649	[9169 : 6269 : 1482], [1813387 : -1858183 : 180156]	-	234
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239	[0, 8613, 0, 24779520, 23788339200] 193590 {O} []	0	-	-	-	-	239
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241	[0, 8685, 0, 25195104, 24388860672] 143154 {O} []	0	-	-	-	-	241
242	[0, 8721, 0, 25404192, 24692874624] 198 Z/2Z [[-2673, 0]]	0	-	-	-	-	242
243	[0, 8757, 0, 25614144, 24999404544] 366 {O} []	1	[0 : 158112 : 1]	0.12619932553336	[9 : -9 : 1]	[9, -9], [-9, 9], [6, -3], [-3, 6]	243
244	[0, 8793, 0, 25824960, 25308460800] 115290 {O} []	1	[-2352 : 14112 : 1]	0.87476454831311	[6 : -2 : 1]	[6, -2], [-2, 6]	244
245	[0, 8829, 0, 26036640, 25620053760] 232470 {O} []	1	[-72771 : 43966 : 27]	8.36991777694453	[262279 : 174347 : 41598]	-	245
246	[0, 8865, 0, 26249184, 25934193792] 1640574 {O} []	1	[-2717 : 494 :1]	2.48315200059649	[35 : 31 : 6]	-	246
247	[0, 8901, 0, 26462592, 26250891264] 137826 {O} []	0	-	-	-	-	247
248	[0, 8937, 0, 26676864, 26570156544] 416826 {O} []	1	[-9170760 : -8017064 : 3375]	9.76995919131700	[2436902 : 4441168 : 685305]	-	248
249	[0, 8973, 0, 26892000, 26892000000] 67230 {O} []	1	[-34168466906 : 130111008425 : 13481272]	17.4562274373708	[232616409143 : -27605607707 : 37652094564]	-	249
250	[0, 9009, 0, 27108000, 27216432000] 67770 {O} []	1	[1943790 : 284062355 : 216]	11.9182023509472	[278230985 : -289893725 : 15566292]	-	250
251	[0, 9045, 0, 27324864, 27543462912] 94878 {O} []	1	[-2772 : 756 : 1]	1.29171623800760	[6 : 5 : 1]	[6, 5], [5, 6]	251
252	[0, 9081, 0, 27542592, 27873103104] 95634 {O} []	0	-	-	-	-	252
253	[0, 9117, 0, 27761184, 28205362944] 1735074 {O} []	1	[-1524 : 59436 : 1]	1.36288478270971	[7 : -6 : 1]	[7, -6], [-6, 7]	253
254	[0, 9153, 0, 27980640, 28540252800] 1748790 {O} []	1	[-1022776989077419767047682015460080574687572 : 1466892986124963835925247663316660661910775 : 371668035236223642818510418254054864064]	65.4826889211880	[4535223953357223137068293709696902385973491 : 1601437981107295465217798383063581062151941 : 687163192472547479861759186383963856089608]	-	254
255	[0, 9189, 0, 28200960, 28877783040] 13770 {O} []	1	[-2048 : 32768 : 1]	1.55834911803289	[19 : -13 : 3]	-	255
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257	[0, 9261, 0, 28644192, 29560806144] 1790262 {O} []	1	[-2537 : 12986 : 1]	4.13426063692934	[479 : -125 : 78]	-	257
258	[0, 9297, 0, 28867104, 29906319744] 1804194 {O} []	2	[-2849 : 1036 : 1], [-1037 : 94094 : 1]	2.49044564218822, 7.72069154878457	[37 : 29 : 6], [97205 : -90983 : 12426]	-	258
259	[0, 9333, 0, 29090880, 30254515200] 909090 {O} []	0	-	-	-	-	259
260	[0, 9369, 0, 29315520, 30605402880] 101790 {O} []	1	[-75696 : 125504 : 27]	6.78075174356946	[44074 : 12698 : 6651]	-	260
261	[0, 9405, 0, 29541024, 30958993152] 205146 {O} []	1	[301648122090770 : -51379756411253689 : 122763473000]	25.6843279227315	[-52284700777525999 : 50474812044981379 : 4125698887216620]	-	261
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263	[0, 9477, 0, 29994624, 31674322944] 468666 {O} []	0	-	-	-	-	263
264	[0, 9513, 0, 30222720, 32036083200] 472230 {O} []	1	[-2648 : 11960 : 1]	4.76514675621315	[2488 : -502 : 399]	-	264
265	[0, 9549, 0, 30451680, 32400587520] 634410 {O} []	1	[-2793 : 7182 : 1]	1.52365401908066	[13 : 1 : 2]	-	265
266	[0, 9585, 0, 30681504, 32767846272] 1917594 {O} []	0	-	-	-	-	266
267	[0, 9621, 0, 30912192, 33137869824] 966006 {O} []	2	[-2948 : 1340 : 1], [17152 : 2905120 : 1]	2.03365316110281, 4.70124750512713	[19 : 14 : 3], [1331 : -1379 : 57]	-	267
268	[0, 9657, 0, 31143744, 33510668544] 973242 {O} []	1	[-9819840 : -13828528 : 3375]	9.99277357630940	[1953874 : 5411006 : 805995]	-	268
269	[0, 9693, 0, 31376160, 33886252800] 24210 {O} []	1	[-2772 : 9612 : 1]	2.95021534547210	[83 : -6 : 13]	-	269
270	[0, 9729, 0, 31609440, 34264632960] 2710 {O} []	0	-	-	-	-	270
271	[0, 9765, 0, 31843584, 34645819392] 248778 {O} []	1	[2688 : 458496 : 1]	3.79111718209245	[391 : -405 : 31]	-	271
272	[0, 9801, 0, 32078592, 35029822464] 250614 {O} []	1	[-2912 : 5824 : 1]	1.29966186818154	[20 : 4 : 3]	-	272
273	[0, 9837, 0, 32314464, 35416652544] 2019654 {O} []	1	[-66579 : 635282 : 27]	9.13387311076930	[835019 : -435545 : 133182]	-	273
274	[0, 9873, 0, 32551200, 35806320000] 135630 {O} []	1	[-606450 : 2259125 : 216]	7.74012481566216	[163139 : -17591 : 25524]	-	274
275	[0, 9909, 0, 32788800, 36198835200] 204930 {O} []	1	[-80736 : 110656 : 27]	6.09446338434933	[11027 : 4111 : 1629]	-	275
276	[0, 9945, 0, 33027264, 36594208512] 1032102 {O} []	1	[-69520 : 18170144 : 125]	9.47817294444737	[2297338 : -2245198 : 259485]	-	276
277	[0, 9981, 0, 33266592, 36992450304] 2079162 {O} []	1	[-2780 : 12788 : 1]	1.97797263353042	[19 : -4 : 3]	-	277
278	[0, 10017, 0, 33506784, 37393570944] 232686 {O} []	2	[-3069 : 1674 : 1], [-16182 : 385857 : 8]	1.76964856425667, 4.22988126647543	[13 : 9 : 2], [519 : -403 : 76]	-	278
279	[0, 10053, 0, 33747840, 37797580800] 58590 {O} []	0	-	-	-	-	279
280	[0, 10089, 0, 33989760, 38204490240] 531090 {O} []	1	[-81528 : 142120 : 27]	6.72607996187632	[48338 : 12808 : 7137]	-	280
281	[0, 10125, 0, 34232544, 38614309632] 2139534 {O} []	0	-	-	-	-	281
282	[0, 10161, 0, 34476192, 39027049344] 2154762 {O} []	0	-	-	-	-	282
283	[0, 10197, 0, 34720704, 39442719744] 361674 {O} []	0	-	-	-	-	283
284	[0, 10233, 0, 34966080, 39861331200] 1092690 {O} []	0	-	-	-	-	284
285	[0, 10269, 0, 35212320, 40282894080] 2200770 {O} []	1	[-20134 : 221309 : 8]	8.41343922720401	[281711 : -160907 : 43932]	-	285
286	[0, 10305, 0, 35459424, 40707418752] 2216214 {O} []	1	[-4853299039872107807115 : -8015506801967755770184 : 1569125307890392875]	34.3129019541515	[6544390317648567651161 : 22575403921584079191529 : 3304611123014431526310]	-	286
287	[0, 10341, 0, 35707392, 41134915584] 15498 {O} []	0	-	-	-	-	287
288	[0, 10377, 0, 35956224, 41565394944] 918 {O} []	1	[-2312 : 39304 : 1]	1.02773838778382	[20 : -14 : 3]	-	288
289	[0, 10413, 0, 36205920, 41998867200] {O} [] 133110	1	[-2244 : 43452 : 1]	3.00712204194129	[697 : -510 : 103]	-	289
290	[0, 10449, 0, 36456480, 42435342720] 2278530 {O} []	1	[-649218 : 2188423 : 216]	10.1601589008007	[4136077 : -240769 : 630324]	-	290
291	[0, 10485, 0, 36707904, 42874831872] 1147122 {O} []	1	[-3212 : 2044 : 1]	2.04717270362608	[20 : 13 : 3]	-	291
292	[0, 10521, 0, 36960192, 43317345024] 385002 {O} []	1	[-751723056 : 2745416960 : 250047]	13.1616590831392	[625073266 : -61280974 : 95581647]	-	292
293	[0, 10557, 0, 37213344, 43762892544] 332262 {O} []	1	[-3164 : 5516 : 1]	3.40073613119513	[268 : 71 : 39]	-	293
294	[0, 10593, 0, 37467360, 44211484800] 334530 {O} []	0	-	-	-	-	294
295	[0, 10629, 0, 37722240, 44663132160] 589410 {O} []	0	-	-	-	-	295
296	[0, 10665, 0, 37977984, 45117844992] 7326 {O} []	0	-	-	-	-	296
297	[0, 10701, 0, 38234592, 45575633664] 3278 {O} []	0	-	-	-	-	297
298	[0, 10737, 0, 38492064, 46036508544] 2405754 {O} []	1	[1599 : 372996 : 1]	5.41622289191828	[3147 : -3229 : 266]	-	298
299	[0, 10773, 0, 38750400, 46500480000] 242190 {O} []	1	[-88800 : 80000 : 27]	3.69084222451326	[433 : 233 : 63]	-	299
300	[0, 10809, 0, 39009600, 46967558400] 243810 {O} []	1	[0 : 216720 : 1]	0.43860858264876	[10 : -10 : 1]	[10, -10], [-10, 10]	300
301	[0, 10845, 0, 39269664, 47437754112] 818118 {O} []	0	-	-	-	-	301
302	[0, 10881, 0, 39530592, 47911077504] 2470662 {O} []	1	[-170508672624738216104329108372234341810 : 313938570434452275801006294748769751283 : 52359707270419450894317760039431000]	59.7362589652952	[825464588308666924113993619865472776713 : 197587447439762372511981030367933274147 : 119227338063041444084461602786820645140]	-	302
303	[0, 10917, 0, 39792384, 48387538944] 310878 {O} []	0	-	-	-	-	303
304	[0, 10953, 0, 40055040, 48867148800] 312930 {O} []	0	-	-	-	-	304
305	[0, 10989, 0, 40318560, 49349917440] 279990 {O} []	1	[-8526042 : 35617023 : 2744]	9.76668752327865	[2266487 : -371811 : 344428]	-	305
306	[0, 11025, 0, 40582944, 49835855232] 281826 {O} []	1	[-3377 : 2456 : 1]	2.51729774630349	[41 : 25 : 6]	-	306
307	[0, 11061, 0, 40848192, 50324972544] 1276506 {O} []	2	[-3360 : 4032 : 1], [-3108 : 13860 : 1]	1.19301601031236, 2.56584353422750	[7 : 3 : 1], [46 : -9 : 7]	[7, 3], [3, 7]	307
308	[0, 11097, 0, 41114304, 50817279744] 1284822 {O} []	1	[-91824 : 64288 : 27]	6.80196909380470	[42470 : 26398 : 6219]	-	308
309	[0, 11133, 0, 41381280, 51312787200] 2586330 {O} []	1	[-3348 : 5580 : 1]	1.29622554085975	[7 : 2 : 1]	[7, 2], [2, 7]	309
310	[0, 11169, 0, 41649120, 51811505280] 867690 {O} []	0	-	-	-	-	310
311	[0, 11205, 0, 41917824, 52313444352] 654966 {O} []	1	[-169780 : 14547572 : 125]	7.98379696245973	[144778 : -134983 : 17205]	-	311
312	[0, 11241, 0, 42187392, 52818614784] 659178 {O} []	1	[-3128 : 15400 : 1]	4.91428840595924	[3098 : -752 : 471]	-	312
313	[0, 11277, 0, 42457824, 53327026944] 2653614 {O} []	1	[-2669 : 36424 : 1]	3.81592680439433	[283 : -181 : 42]	-	313
314	[0, 11313, 0, 42729120, 53838691200] 296730 {O} []	1	[-12726 : 818559 : 8]	5.67528189838695	[4533 : -4129 : 556]	-	314
315	[0, 11349, 0, 43001280, 54353617920] 149310 {O} []	1	[-3488 : 1792 : 1]	3.91452543557108	[383 : 271 : 57]	-	315
316	[0, 11385, 0, 43274304, 54871817472] 1352322 {O} []	0	-	-	-	-	316
317	[0, 11421, 0, 43548192, 55393300224] 2721762 {O} []	0	-	-	-	-	317
318	[0, 11457, 0, 43822944, 55918076544] 2738934 {O} []	1	[-1277 : 128674 : 1]	7.92387857606939	[132505 : -124843 : 15306]	-	318
319	[0, 11493, 0, 44098560, 56446156800] 28710 {O} []	1	[-93696 : 143360 : 27]	4.13506794655940	[829 : 269 : 117]	-	319
320	[0, 11529, 0, 44375040, 56977551360] 86670 {O} []	1	[-95856 : 32336 : 27]	6.22934261967832	[39988 : 31904 : 6111]	-	320
321	[0, 11565, 0, 44652384, 57512270592] 2790774 {O} []	0	-	-	-	-	321
322	[0, 11601, 0, 44930592, 58050324864] 2808162 {O} []	1	[-7459341540323940 : -221205108056241007 : 3334661784000]	26.7512754555007	[-198827083435269187 : 243583132677212827 : 32794845206760360]	-	322
323	[0, 11637, 0, 45209664, 58591724544] 5814 {O} []	2	[-2592 : 46656 : 1], [-3564 : 2916 : 1]	0.78104108850886, 0.87377945025485	[7 : -5 : 1], [7 : 4 : 1]	[7, -5], [-5, 7], [7, 4], [4, 7], [7, 1], [1, 7]	323
324	[0, 11673, 0, 45489600, 59136480000] 390 Z/2Z [[-3600, 0]]	0	-	-	-	[6, 6]	324
325	[0, 11709, 0, 45770400, 59684601600] 572130 {O} []	1	[-3260 : 16300 : 1]	1.21029217974055	[20 : -5 : 3]	-	325
326	[0, 11745, 0, 46052064, 60236099712] 2878254 {O} []	0	-	-	-	-	326
327	[0, 11781, 0, 46334592, 60790984704] 723978 {O} []	2	[-3132 : 22644 : 1], [-2700 : 43452 : 1]	4.09802617274991, 4.43758446950900	[445 : -184 : 67], [716 : -491 : 103]	-	327
328	[0, 11817, 0, 46617984, 61349266944] 242802 {O} []	0	-	-	-	-	328
329	[0, 11853, 0, 46902240, 61910956800] 2931390 {O} []	1	[-97971 : 85490 : 27]	8.59447657614333	[379403 : 208423 : 53694]	-	329
330	[0, 11889, 0, 47187360, 62476064640] 2949210 {O} []	0	-	-	-	-	330
331	[0, 11925, 0, 47473344, 63044600832] 1483542 {O} []	0	-	-	-	-	331
332	[0, 11961, 0, 47760192, 63616575744] 165834 {O} []	0	-	-	-	-	332
333	[0, 11997, 0, 48047904, 64191999744] 333666 {O} []	1	[-172658562840 : -31530833929 : 46656000]	18.1374163010169	[486444854591 : 549506522449 : 86032110960]	-	333
334	[0, 12033, 0, 48336480, 64770883200] 3021030 {O} []	1	[-17286 : 640989 : 8]	4.75985830386017	[1149 : -977 : 148]	-	334
335	[0, 12069, 0, 48625920, 65353236480] 379890 {O} []	0	-	-	-	-	335
336	[0, 12105, 0, 48916224, 65939069952] 382158 {O} []	0	-	-	-	-	336
337	[0, 12141, 0, 49207392, 66528393984] 78858 {O} []	1	[-2028 : 91260 : 1]	1.26532487336248	[8 : -7 : 1]	[8, -7], [-7, 8]	337
338	[0, 12177, 0, 49499424, 67121218944] 237978 {O} []	1	[18152897499 : -8593566843358 : 26198073]	19.8998664473408	[-8648025535855 : 8539108150861 : 748359950778]	-	338
339	[0, 12213, 0, 49792320, 67717555200] 1556010 {O} []	1	[-226720 : 13472704 : 125]	8.61265074971940	[442277 : -399767 : 53115]	-	339
340	[0, 12249, 0, 50086080, 68317413120] 1565190 {O} []	1	[-3198892752 : -21567760928 : 970299]	14.4052224105226	[-1496385334 : 3895554898 : 578678067]	-	340
341	[0, 12285, 0, 50380704, 68920803072] 349866 {O} []	1	[-3572 : 11476 : 1]	3.32417687975420	[146 : -5 : 21]	-	341
342	[0, 12321, 0, 50676192, 69527735424] 7182 {O} []	1	[-3773 : 3430 : 1]	2.53540565105966	[43 : 23 : 6]	-	342
343	[0, 12357, 0, 50972544, 70138220544] 16254 Z/3Z [[-3612, 10836]]	0	-	-	-	[7, 0], [0, 7]	343
344	[0, 12393, 0, 51269760, 70752268800] 801090 {O} []	1	[-935812152 : -173396927080 : 970299]	15.4724970199680	[-21323686328 : 22025545442 : 2310919281]	-	344
345	[0, 12429, 0, 51567840, 71369890560] 3222990 {O} []	1	[-3593 : 12502 : 1]	6.70773202601101	[23281 : -1723 : 3354]	-	345
346	[0, 12465, 0, 51866784, 71991096192] 1080558 {O} []	1	[24638122905 : 9883125262044 : 166375]	18.3014284447885	[1089912321481 : -1106337736751 : 16887272270]	-	346
347	[0, 12501, 0, 52166592, 72615896064] 1630206 {O} []	0	-	-	-	-	347
348	[0, 12537, 0, 52467264, 73244300544] 1639602 {O} []	1	[-3257 : 28304 : 1]	7.07038890663571	[38075 : -18533 : 5586]	-	348
349	[0, 12573, 0, 52768800, 73876320000] 659610 {O} []	1	[-3164 : 33292 : 1]	4.47051013226934	[764 : -425 : 111]	-	349
350	[0, 12609, 0, 53071200, 74511964800] 8190 {O} []	0	-	-	-	-	350
351	[0, 12645, 0, 53374464, 75151245312] 286 {O} []	0	-	-	-	-	351
352	[0, 12681, 0, 53678592, 75794171904] 209682 {O} []	0	-	-	-	-	352
353	[0, 12717, 0, 53983584, 76440754944] 3373974 {O} []	0	-	-	-	-	353
354	[0, 12753, 0, 54289440, 77091004800] 3393090 {O} []	1	[-148506715 : 953329924 : 42875]	14.0668638401010	[1398850069 : -507809779 : 204844710]	-	354
355	[0, 12789, 0, 54596160, 77744931840] 568710 {O} []	1	[-25062 : 307395 : 8]	6.97060993687104	[42509 : -25801 : 6076]	-	355
356	[0, 12825, 0, 54903744, 78402546432] 1715742 {O} []	0	-	-	-	-	356
357	[0, 12861, 0, 55212192, 79063858944] 3450762 {O} []	2	[-1433 : 153010 : 1], [-461845 : 1762046 : 125]	8.03647455529954, 9.98192220862673	[157309 : -148711 : 17178], [3147581 : -376511 : 450930]	-	357
358	[0, 12897, 0, 55521504, 79728879744] 3470094 {O} []	1	[-37996453373767094179017906333432 : 583252703815647284363962216827881 : 12589987127562201594566877696]	50.4699030743088	[697242063936948566901015935828177 : -469263343694346001826908497827585 : 97447267030625221742257216685616]	-	358
359	[0, 12933, 0, 55831680, 80397619200] 96930	0	-	-	-	-	359
360	[0, 12969, 0, 56142720, 81070087680] 5130 {O} []	1	[-2888 : 54872 : 1]	1.16459355218431	[22 : -16 : 3]	-	360
361	[0, 13005, 0, 56454624, 81746295552] 185706 {O} []	0	-	-	-	-	361
362	[0, 13041, 0, 56767392, 82426253184] 322542 {O} []	1	[-2385773907330 : -12833730640511 : 658503000]	16.8410913898940	[-46912470401 : 165215308781 : 23933809620]	-	362
363	[0, 13077, 0, 57081024, 83109970944] 162162 {O} []	2	[-4004 : 4004 : 1], [-4032 : 2016 : 1]	0.88425602343737, 1.24945554728015	[22 : 11 : 3], [7 : 5 : 1]	[7, 5], [5, 7], [-11, 11], [11, -11], [7, -1], [-1, 7], [-4, 7], [7, -4]	363
364	[0, 13113, 0, 57395520, 83797459200] 597870 {O} []	1	[-3648 : 19440 : 1]	3.52032263740641	[422 : -118 : 61]	-	364
365	[0, 13149, 0, 57710880, 84488728320] 3606930 {O} []	0	-	-	-	-	365
366	[0, 13185, 0, 58027104, 85183788672] 3626694 {O} []	1	[-1511465259156356401194040315 : -157422663729762214219515584848 : 1007329283576307653550875]	44.8970105092240	[-152888267952293145015933463903 : 161957059507231283423097705793 : 17548877434282215030264079110]	-	366
367	[0, 13221, 0, 58344192, 85882650624] 455814 {O} []	0	-	-	-	-	367
368	[0, 13257, 0, 58662144, 86585324544] 50922 {O} []	0	-	-	-	-	368
369	[0, 13293, 0, 58980960, 87291820800] 409590 {O} []	0	-	-	-	-	369
370	[0, 13329, 0, 59300640, 88002149760] 3706290 {O} []	0	-	-	-	-	370
371	[0, 13365, 0, 59621184, 88716321792] 1863162 {O} []	0	-	-	-	-	371
372	[0, 13401, 0, 59942592, 89434347264] 1873206 {O} []	0	-	-	-	-	372
373	[0, 13437, 0, 60264864, 90156236544] 1255518 {O} []	0	-	-	-	-	373
374	[0, 13473, 0, 60588000, 90882000000] 151470 {O} []	0	-	-	-	-	374
375	[0, 13509, 0, 60912000, 91611648000] 38070 {O} []	1	[-3905 : 14210 : 1]	5.70782223661897	[25925 : -2495 : 3642]	-	375
376	[0, 13545, 0, 61236864, 92345190912] 956826 {O} []	0	-	-	-	-	376
377	[0, 13581, 0, 61562592, 93082639104] 47502 {O} []	1	[-3780 : 20412 : 1]	0.95145241126046	[7 : -2 : 1]	[7, -2], [-2, 7]	377
378	[0, 13617, 0, 61889184, 93824002944] 5306 {O} []	0	-	-	-	-	378
379	[0, 13653, 0, 62216640, 94569292800] 1944270 {O} []	2	[-3648 : 27360 : 1], [-4224 : 288 : 1]	1.21486928128999, 2.56183290037176	[7 : -3 : 1], [45 : 43 : 7]	[7, -3], [-3, 7]	379
380	[0, 13689, 0, 62544960, 95318519040] 1954530 {O} []	1	[-4064 : 10160 : 1]	1.71104933705025	[22 : 2 : 3]	-	380
381	[0, 13725, 0, 62874144, 96071692032] 3929634 {O} []	2	[-4212 : 3924 : 1], [8028 : 1415196 : 1]	3.65259777997168, 6.60931826483086	[230 : 121 : 31], [19321 : -19990 : 1051]	-	381
382	[0, 13761, 0, 63204192, 96828822144] 1316754 {O} []	1	[-301663715193846738898047 : -51112414228887245435157460 : 256086465571079511759]	39.5322022110582	[-50207423083305705218463319 : 52017405374468785651851601 : 5251858083425008182877902]	-	382
383	[0, 13797, 0, 63535104, 97589919744] 62046 {O} []	0	-	-	-	-	383
384	[0, 13833, 0, 63866880, 98354995200] 62370 {O} []	0	-	-	-	-	384
385	[0, 13869, 0, 64199520, 99124058880] 4012470 {O} []	1	[124689 : 23996276 : 27]	11.3544149537049	[23622209 : -24370343 : 1498518]	-	385
386	[0, 13905, 0, 64533024, 99897121152] 448146 {O} []	2	[-4257 : 4644 : 1], [5203 : 976186 : 1]	1.82323670001743, 6.71078513448585	[15 : 7 : 2], [22339 : -23065 : 1374]	-	386
387	[0, 13941, 0, 64867392, 100674192384] 225234 {O} []	0	-	-	-	-	387
388	[0, 13977, 0, 65202624, 101455282944] 2037582 {O} []	0	-	-	-	-	388
389	[0, 14013, 0, 65538720, 102240403200] 4096170 {O} []	1	[-116207468 : -636658100 : 29791]	10.7301954725465	[-2769574 : 9473851 : 1339293]	-	389
390	[0, 14049, 0, 65875680, 103029563520] 4117230 {O} []	0	-	-	-	-	390
391	[0, 14085, 0, 66213504, 103822774272] 49266 {O} []	0	-	-	-	-	391
392	[0, 14121, 0, 66552192, 104620045824] 148554 {O} []	1	[-95496 : 1091800 : 27]	7.62200995562189	[172286 : -100664 : 23877]	-	392
393	[0, 14157, 0, 66891744, 105421388544] 4180734 {O} []	1	[-508345 : 2040704 : 125]	10.0666925795827	[3565739 : -515669 : 495930]	-	393
394	[0, 14193, 0, 67232160, 106226812800] 4202010 {O} []	0	-	-	-	-	394
395	[0, 14229, 0, 67573440, 107036328960] 234630 {O} []	0	-	-	-	-	395
396	[0, 14265, 0, 67915584, 107849947392] 235818 {O} []	1	[-189159040 : 66729104 : 42875]	11.8680005360285	[79275778 : 62593502 : 11323095]	-	396
397	[0, 14301, 0, 68258592, 108667678464] 4266162 {O} []	0	-	-	-	-	397
398	[0, 14337, 0, 68602464, 109489532544] 4287654 {O} []	1	[-3857 : 28196 : 1]	3.83219123732423	[299 : -125 : 42]	-	398
399	[0, 14373, 0, 68947200, 110315520000] 107730 {O} []	1	[-3200 : 64000 : 1]	1.64742520432917	[23 : -17 : 3]	-	399
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401	[0, 14445, 0, 69639264, 111979936512] 4352454	1	[-1780645327980 : -22997950076204 : 502459875]	16.5097151464751	[-32940324799 : 52872921754 : 7200236295]	-	401
402	[0, 14481, 0, 69986592, 112818386304] 4374162 {O} []	0	-	-	-	-	402
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404	[0, 14553, 0, 70683840, 114507820800] 9090 {O} []	0	-	-	-	-	404
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407	[0, 14661, 0, 71736192, 117073465344] 1120878 {O} []	1	[-1915878666 : 11789281405 : 474552]	15.7502742776320	[17536917403 : -6041645407 : 2445167556]	-	407
408	[0, 14697, 0, 72088704, 117937119744] 1126386 {O} []	0	-	-	-	-	408
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411	[0, 14805, 0, 73151424, 120553546752] 2285982 {O} []	2	[-4532 : 5356 : 1], [125248 : 46971296 : 1]	2.10425934927546, 6.26276385009871	[23 : 10 : 3], [14137 : -14365 : 237]	-	411
412	[0, 14841, 0, 73507392, 121434211584] 2297106 {O} []	0	-	-	-	-	412
413	[0, 14877, 0, 73864224, 122319154944] 512946 {O} []	1	[-32166 : 231363 : 8]	6.30076120743946	[12143 : -4995 : 1684]	-	413
414	[0, 14913, 0, 74221920, 123208387200] 515430 {O} []	0	-	-	-	-	414
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419	[0, 15093, 0, 76023360, 127719244800] 2375730 {O} []	1	[-3332 : 70588 : 1]	4.90435408982386	[1439 : -1082 : 183]	-	419
420	[0, 15129, 0, 76386240, 128634428160] 2387070 {O} []	2	[-4688 : 1088 : 1], [-4208 : 24128 : 1]	4.79358494445770, 5.29740732222288	[1894 : 1622 : 273], [4594 : -1438 : 633]	-	420
421	[0, 15165, 0, 76749984, 129553972992] 4796874 {O} []	1	[-350728947689900 : -391122750010364 : 75418890625]	8.33348558587464	[391625647547 : 855041228128 : 110873155575]	-	421
422	[0, 15201, 0, 77114592, 130477889664] 535518 {O} []	0	-	-	-	-	422
423	[0, 15237, 0, 77480064, 131406188544] 134514 {O} []	1	[-840371 : 46441648 : 343]	11.8635750723515	[48962761 : -43920535 : 5428878]	-	423
424	[0, 15273, 0, 77846400, 132338880000] 243270 {O} []	0	-	-	-	-	424
425	[0, 15309, 0, 78213600, 133275974400] 977670 {O} []	1	[741375 : 349389730 : 729]	12.3507496524688	[347165605 : -351613855 : 26808138]	-	425
426	[0, 15345, 0, 78581664, 134217482112] 4911354 {O} []	1	[-37926 : 23877 : 8]	5.18027291603413	[2185 : 1427 : 292]	-	426
427	[0, 15381, 0, 78950592, 135163413504] 822402 {O} []	1	[-1713 : 200070 : 1]	6.56305874882952	[22801 : -21659 : 2282]	-	427
428	[0, 15417, 0, 79320384, 136113778944] 2478762 {O} []	0	-	-	-	-	428
429	[0, 15453, 0, 79691040, 137068588800] 4980690 {O} []	1	[-1019039 : 35119790 : 343]	11.6976632592065	[38176907 : -32062673 : 4505046]	-	429
430	[0, 15489, 0, 80062560, 138027853440] 5003910 {O} []	2	[-1009074 : 1989595 : 216], [-44273229 : -32091200 : 9261]	10.2828076621584, 12.6585554003913	[5016817 : 1037627 : 648468], [100728487 : 164910887 : 21747978]	-	430
431	[0, 15525, 0, 80434944, 138991583232] 7758 {O} []	1	[-1152 : 255744 : 1]	>2.7010729572009	[75 : -73 : 7]	-	431
432	[0, 15561, 0, 80808192, 139959788544] 866 {O} []	1	[0 : 374112 : 1]	0.27989818934198	[12 : -12 : 1]	[12, -12], [-12, 12]	432
433	[0, 15597, 0, 81182304, 140932479744] 5073894 {O} []	3	[-2604 : 132804 : 1], [-4764 : 6516 : 1], [-4809 : 3906 : 1]	1.52389810813995, 3.78490545800670, 3.81925674217878	[9 : -8 : 1], [289 : 108 : 37], [291 : 167 : 38]	[9, -8], [-8, 9], [7, 6], [6, 7]	433
434	[0, 15633, 0, 81557280, 141909667200] 5097330 {O} []	0	-	-	-	-	434
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439	[0, 15813, 0, 83445120, 146863411200] 1303830 {O} []	0	-	-	-	-	439
440	[0, 15849, 0, 83825280, 147867793920] 20790 {O} []	1	[-3528 : 74088 : 1]	0.65587918600243	[8 : -6 : 1]	[8, 6], [6, 8]	440
441	[0, 15885, 0, 84206304, 148876745472] 83538 {O} []	0	-	-	-	-	441
442	[0, 15921, 0, 84588192, 149890276224] 5286762 {O} []	1	[-747911693586426 : 1048496854386185 : 153818342712]	23.8265969231136	[3292231935145463 : 1195238226373093 : 418719697623396]	-	442
443	[0, 15957, 0, 84970944, 150908396544] 2655342 {O} []	1	[-4736 : 13024 : 1]	1.97314684949529	[23 : 1 : 3]	-	443
444	[0, 15993, 0, 85354560, 151931116800] 2667330 {O} []	1	[-72096 : 3722480 : 27]	8.45016188583417	r[492346 : -438274 : 54063]	-	444
445	[0, 16029, 0, 85739040, 152958447360] 1786230 {O} []	0	-	-	-	-	445
446	[0, 16065, 0, 86124384, 153990398592] 5382774 {O} []	1	[-553202021178632307818275175401084211515806668346578018183106886626149893012342984688617755 : 49056335883641738050844829113765347092368487693932748950814075043959605997125441022206122 : 110945071438503687198919268265940524891764378242440150619922821302428811037631052876375]	138.649115639695	[1708662399419538661505670355317017981639788492733666803500134734922409285034154395088059387 : 1610549727652255185403980697089487287455051517345801305598506584834490073039903513043647143 : 251444052105008821900366677464524584021704739275225698452954761040469496361059897641546470]	-	446
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449	[0, 16173, 0, 87285600, 157114080000] 121230 {O} []	1	[900 : 499500 : 1]	2.79129779852494	[92 : -93 : 7]	-	449
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451	[0, 16245, 0, 88064064, 159219827712] 2752002 {O} []	0	-	-	-	-	451
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453	[0, 16317, 0, 88845984, 161344306944] 5552874 {O} []	0	-	-	-	-	453
454	[0, 16353, 0, 89238240, 162413596800] 1859130 {O} []	1	[-3549 : 83538 : 1]	3.03693731885286	[115 : -89 : 14]	-	454
455	[0, 16389, 0, 89631360, 163487600640] 1400490 {O} []	1	[-135771 : 161414 : 27]	8.84834129764384	[568727 : 245899 : 71838]	-	455
456	[0, 16425, 0, 90025344, 164566328832] 1406646 {O} []	1	[-399880 : 13649768 : 125]	9.21909961098375	[1856176 : -1556266 : 214215]	-	456
457	[0, 16461, 0, 90420192, 165649791744] 5651262 {O} []	1	[-73245613922195 : -38945702852432 : 14366628991]	18.5676838021718	[789480955957 : 1129618098773 : 149695519974]	-	457
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460	[0, 16569, 0, 91609920, 168928692480] 2862810 {O} []	1	[19719744 : 17021856464 : 35937]	14.0158942939016	[2120337154 : -2135126962 : 163892421]	-	460
461	[0, 16605, 0, 92008224, 170031197952] 5750514 {O} []	1	[-1825766867876 : 21133009152892 : 433798093]	17.9699017970299	[475184102795 : -279566224094 : 62058188541]	-	461
462	[0, 16641, 0, 92407392, 171138489984] 5775462 {O} []	1	[-5153 : 2960 : 1]	6.60821089605303	[18419 : 12499 : 2418]	-	462
463	[0, 16677, 0, 92807424, 172250578944] 241686 {O} []	0	-	-	-	-	463
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465	[0, 16749, 0, 93610080, 174489189120] 5850630 {O} []	0	-	-	-	-	465
466	[0, 16785, 0, 94012704, 175615731072] 5875794 {O} []	1	[-69082676802337760350637037492991167832776477267777048477747312572925 : 445412480715824836263593082342179885854007420463814137500242307185222 : 14909548455802685896652718336229478432692905871886729895306140625]	105.660817877446	[652660511122838117315504194821153389352336852267145282933484244903997 : -238164450308811555211681969863206382355677988660482992067000369466447 : 86822596463882948485228776379432975824207403429657115133289796937450]	-	466
467	[0, 16821, 0, 94416192, 176747111424] 327834 {O} []	1	[-5148 : 7020 : 1]	1.39411135622687	[8 : 3 : 1]	[8, 3], [3, 8]	467
468	[0, 16857, 0, 94820544, 177883340544] 329238 {O} []	0	-	-	-	-	468
469	[0, 16893, 0, 95225760, 179024428800] 5951610 {O} []	0	-	-	-	-	469
470	[0, 16929, 0, 95631840, 180170386560] 5976990 {O} []	1	[-7212805817601430819302 : 5242535865504602608553 : 1377835887526037064]	34.4755798706711	[26880953318308895066459 : 16395881587299689849353 : 3448335712174383998556]	-	470
471	[0, 16965, 0, 96038784, 181321224192] 1500606 {O} []	0	-	-	-	-	471
472	[0, 17001, 0, 96446592, 182476952064] 502326 {O} []	2	[-5160 : 9288 : 1], [-114936 : 1441880 : 27]	0.74009200807990, 7.79586034074510	[8 : 2 : 1], [223336 : -137134 : 28737]	[8, 2], [2, 8]	472
473	[0, 17037, 0, 96855264, 183637580544] 6053454 {O} []	0	-	-	-	-	473
474	[0, 17073, 0, 97264800, 184803120000] 1215810 {O} []	1	[-134475 : 494000 : 27]	6.72947344482919	[35897 : -3623 : 4662]	-	474
475	[0, 17109, 0, 97675200, 185973580800] 610470 {O} []	0	-	-	-	-	475
476	[0, 17145, 0, 98086464, 187148973312] 340578 {O} []	1	[28911840 : -5761497104 : 3375]	13.2691600785788	[-731029078 : 709345198 : 36172755]	-	476
477	[0, 17181, 0, 98498592, 188329307904] 684018 {O} []	1	[-119425296765 : 277816535506 : 23149125]	18.1159075180823	[636092425801 : 80459354789 : 80148505410]	-	477
478	[0, 17217, 0, 98911584, 189514594944] 6181974 {O} []	0	-	-	-	-	478
479	[0, 17253, 0, 99325440, 190704844800] 387990	0	-	-	-	-	479
480	[0, 17289, 0, 99740160, 191900067840] 389610 {O} []	1	[-5328 : 5328 : 1]	0.57894903624710	[8 : 4 : 1]	[8, 4], [4, 8]	480
481	[0, 17325, 0, 100155744, 193100274432] 2086578 {O} []	0	-	-	-	-	481
482	[0, 17361, 0, 100572192, 194305474944] 6285762 {O} []	0	-	-	-	-	482
483	[0, 17397, 0, 100989504, 195515679744] 286902 {O} []	2	[-3872 : 85184 : 1], [-5237 : 11656 : 1]	1.68633863102338, 6.80822320455847	[25 : -19 : 3], [27367 : 4055 : 3426]	-	483
484	[0, 17433, 0, 101407680, 196730899200] 288090 {O} []	0	-	-	-	-	484
485	[0, 17469, 0, 101826720, 197951143680] 8730 {O} []	0	-	-	-	-	485
486	[0, 17505, 0, 102246624, 199176423552] 2922 {O} []	0	-	-	-	-	486
487	[0, 17541, 0, 102667392, 200406749184] 1604178 {O} []	0	-	-	-	-	487
488	[0, 17577, 0, 103089024, 201642130944] 1610766 {O} []	0	-	-	-	-	488
489	[0, 17613, 0, 103511520, 202882579200] 924210 {O} []	1	[-5292 : 12348 : 1]	1.05886309133889	[8 : 1 : 1]	[8, 1], [1, 8]	489
490	[0, 17649, 0, 103934880, 204128104320] 309330 {O} []	0	-	-	-	-	490
491	[0, 17685, 0, 104359104, 205378716672] 3261222 {O} []	0	-	-	-	-	491
492	[0, 17721, 0, 104784192, 206634426624] 3274506 {O} []	2	[-660805 : 1771588 : 125], [-181471360 : -2960704592 : 42875]	10.0902620860586, 12.9705238446262	[3754003 : 210827 : 472170], [-302036314 : 438139834 : 54132855]	-	492
493	[0, 17757, 0, 105210144, 207895244544] 6575634 {O} []	1	[-4940 : 30628 : 1]	2.11495107601458	[23 : -8 : 3]	-	493
494	[0, 17793, 0, 105636960, 209161180800] 733590 {O} []	0	-	-	-	-	494
495	[0, 17829, 0, 106064640, 210432245760] 92070 {O} []	1	[-5504 : 5120 : 1]	3.21803567123531	[169 : 89 : 21]	-	495
496	[0, 17865, 0, 106493184, 211708449792] 831978 {O} []	1	[-4872 : 35784 : 1]	2.58109753256289	[100 : -42 : 13]	-	496
497	[0, 17901, 0, 106922592, 212989803264] 6682662 {O} []	1	[-260503727650404 : -238085068999175 : 47124116928]	23.0690984201182	[543426113952037 : 1019596251950387 : 126659970667944]	-	497
498	[0, 17937, 0, 107352864, 214276316544] 6709554 {O} []	2	[-5489 : 7984 : 1], [499 : 521954 : 1]	2.60004693893320, 4.67826702214800	[49 : 17 : 6], [1043 : -1049 : 78]	-	498
499	[0, 17973, 0, 107784000, 215568000000] 44910 {O} []	0	-	-	-	-	499
500	[0, 18009, 0, 108216000, 216864864000] 135270 {O} []	1	[-129840 : 1121120 : 27]	6.71583168647434	[188830 : -91450 : 24363]	-	500
501	[0, 18045, 0, 108648864, 218166918912] 6790554 {O} []	1	[-138554679414661376065112482869095099686231195742151770 : 1309589930429684841860948300172496764919611865255995571 : 29129187605491981468982029907176291227879699787000]	83.2957443625050	[1725253968673668970056285748779782063978305452482450881 : -893925892185700713665610851565211465860918278029540261 : 221517280324933921824211591750409272023096694648417380]	-	501
502	[0, 18081, 0, 109082592, 219474175104] 6817662 {O} []	1	[-94959656399344338805808125762648187251824952670874 : 10198409966207688585415496888626662952581161792005 : 16882448997079752705326950198263066816796979448]	77.6083497254361	[295077379164240705002839874176571224708056019804627 : 274680559231825327832008880399317898802893696220617 : 41656834482174291141272073804406104326169691663524]	-	502
503	[0, 18117, 0, 109517184, 220786642944] 190134 {O} []	0	-	-	-	-	503
504	[0, 18153, 0, 109952640, 222104332800] 190890 {O} []	0	-	-	-	-	504
505	[0, 18189, 0, 110388960, 223427255040] 6899310 {O} []	0	-	-	-	-	505
506	[0, 18225, 0, 110826144, 224755420032] 532818 {O} []	1	[-141183483870 : 3595940402509 : 35937000]	15.5569867548632	[23783969551 : -18771538171 : 2749960620]	-	506
507	[0, 18261, 0, 111264192, 226088838144] 267462 {O} []	1	[0 : 475488 : 1]	0.35838676770693	[13 : -13 : 1]	[13, -13], [-13, 13], [8, 5], [5, 8]	507
508	[0, 18297, 0, 111703104, 227427519744] 1163574 {O} []	1	[-682305 : 1863162 : 125]	8.46978218369507	[434453 : 20417 : 54130]	-	508
509	[0, 18333, 0, 112142880, 228771475200] 7008930 {O} []	0	-	-	-	-	509
510	[0, 18369, 0, 112583520, 230120714880] 7036470 {O} []	1	[-145851 : 499744 : 27]	9.17044454008019	[937297 : -62191 : 118278]	-	510
511	[0, 18405, 0, 113025024, 231475249152] 27594 {O} []	1	[-33260293017135 : -443122479529642 : 7245075375]	22.6663496165489	[-343341600478237 : 542903358581047 : 67520700521190]	-	511
512	[0, 18441, 0, 113467392, 232835088384] 342 Z/3Z [[-5472, 16416]]	0	-	-	-	[8, 0], [0, 8]	512
513	[0, 18477, 0, 113910624, 234200242944] 9766 {O} []	0	-	-	-	-	513
514	[0, 18513, 0, 114354720, 235570723200] 7147170 {O} []	1	[5275866 : -4344733125 : 8]	10.2406166460034	[-4703949 : 4669801 : 34468]	-	514
515	[0, 18549, 0, 114799680, 236946539520] 3587490 {O} []	0	-	-	-	-	515
516	[0, 18585, 0, 115245504, 238327702272] 3601422 {O} []	1	[-928535795 : -2265699446 : 166375]	14.8924434291351	[519907939 : 5051306831 : 621928230]	-	516
517	[0, 18621, 0, 115692192, 239714221824] 2410254 {O} []	1	[-5772 : 3996 : 1]	1.25231505547382	[8 : 5 : 1]	[8, 5], [5, 8]	517
518	[0, 18657, 0, 116139744, 241106108544] 7258734 {O} []	0	-	-	-	-	518
519	[0, 18693, 0, 116588160, 242503372800] 1821690 {O} []	0	-	-	-	-	519
520	[0, 18729, 0, 117037440, 243906024960] 1828710 {O} []	0	-	-	-	-	520
521	[0, 18765, 0, 117487584, 245314075392] 815886	0	-	-	-	-	521
522	[0, 18801, 0, 117938592, 246727534464] 819018 {O} []	1	[172194711298357 : -237102543797275520 : 91733851]	26.6716671230277	[-237619127931170591 : 236585959663380449 : 1036622597683398]	-	522
523	[0, 18837, 0, 118390464, 248146412544] 3699702 {O} []	1	[-4800 : 57312 : 1]	3.60787362508614	[249 : -149 : 31]	-	523
524	[0, 18873, 0, 118843200, 249570720000] 742770 {O} []	0	-	-	-	-	524
525	[0, 18909, 0, 119296800, 251000467200] 1491210 {O} []	1	[-5693 : 13328 : 1]	6.87863858453963	[30407 : 3751 : 3714]	-	525
526	[0, 18945, 0, 119751264, 252435664512] 2494818 {O} []	0	-	-	-	-	526
527	[0, 18981, 0, 120206592, 253876322304] 939114 {O} []	1	[-11197522558080 : -103459143721472 : 2222447625]	18.2732758884352	[-545832625369 : 1070716495279 : 135183074715]	-	527
528	[0, 19017, 0, 120662784, 255322450944] 40986 {O} []	2	[-4232 : 97336 : 1], [-5912 : 2584 : 1]	1.18479391313738, 4.78594493347175	[26 : -20 : 3], [2540 : 1894 : 327]	-	528
529	[0, 19053, 0, 121119840, 256774060800] 329130 {O} []	0	-	-	-	-	529
530	[0, 19089, 0, 121577760, 258231162240] 844290 {O} []	1	[-48802304532 : 114429284603 : 8489664]	17.5218122148313	[260836198199 : 31977628993 : 31763006856]	-	530
531	[0, 19125, 0, 122036544, 259693765632] 423738 {O} []	1	[-5852 : 9044 : 1]	2.14951025907733	[25 : 8 : 3]	-	531
532	[0, 19161, 0, 122496192, 261161881344] 3828006 {O} []	0	-	-	-	-	532
533	[0, 19197, 0, 122956704, 262635519744] 7684794 {O} []	1	[-442370274780 : -175285691911 : 74088000]	18.7770923368574	[1151825132429 : 1502396516251 : 194313775320]	-	533
534	[0, 19233, 0, 123418080, 264114691200] 7713630 {O} []	1	[756443170096735550 : 223289240151473537741 : 11466731375000]	31.2407420535033	[221019910641183331091 : -225558569661763744391 : 4980357513145413300]	-	534
535	[0, 19269, 0, 123880320, 265599406080] 645210 {O} []	2	[-5628 : 21708 : 1], [-1289298 : 1035397 : 216]	1.21001018145503, 10.3096093859477	[8 : -1 : 1], [4903291 : 2832497 : 600084]	[8, -1], [-1, 8]	535
536	[0, 19305, 0, 124343424, 267089674752] 1942866 {O} []	1	[-17717160 : 138320504 : 3375]	10.8976603895007	[23933998 : -10646128 : 3023505]	-	536
537	[0, 19341, 0, 124807392, 268585507584] 7800462 {O} []	1	[-6531276148351269042029935479 : 1763101169176856296803131080 : 1084729591582153870781043]	43.5922836905960	[21356929614230663422892937517 : 17830727275876950829286675357 : 2830428569418698086394868774]	-	537
538	[0, 19377, 0, 125272224, 270086914944] 1118502 {O} []	0	-	-	-	-	538
539	[0, 19413, 0, 125737920, 271593907200] 6930 Z/2Z [[-6048, 0]]	0	-	-	-	[7, 7]	539
540	[0, 19449, 0, 126204480, 273106494720] 5410 {O} []	0	-	-	-	-	540
541	[0, 19485, 0, 126671904, 274624687872] 7916994 {O} []	2	[-3252 : 185364 : 1], [95028 : 32348124 : 1]	1.59144464727799, 8.67986566996423	[10 : -9 : 1], [445320 : -453239 : 8461]	[10, -9], [-9, 10]	541
542	[0, 19521, 0, 127140192, 276148497024] 7946262 {O} []	0	-	-	-	-	542
543	[0, 19557, 0, 127609344, 277677932544] 498474 {O} []	2	[-6084 : 2556 : 1], [-5940 : 11628 : 1]	3.85939629088494, 4.00719547188286	[289 : 218 : 37], [409 : 86 : 49]	-	543
544	[0, 19593, 0, 128079360, 279213004800] 166770 {O} []	2	[-5232 : 47088 : 1], [7303 : 1627588 : 1]	0.40850842013412, 6.42902403121334	[8 : -4 : 1], [14731 : -15133 : 762]	[8, -4], [-4, 8]	544
545	[0, 19629, 0, 128550240, 280753724160] 8034390 {O} []	1	[35932 : 8754148 : 1]	7.56746837554064	[83138 : -85211 : 2451]	-	545
546	[0, 19665, 0, 129021984, 282300100992] 8063874 {O} []	0	-	-	-	-	546
547	[0, 19701, 0, 129494592, 283852145664] 4046706 {O} []	0	-	-	-	-	547
548	[0, 19737, 0, 129968064, 285409868544] 451278 {O} []	0	-	-	-	-	548
549	[0, 19773, 0, 130442400, 286973280000] 181170 {O} []	1	[-44950 : 240625 : 8]	6.16173149167239	[15019 : -4231 : 1884]	-	549
550	[0, 19809, 0, 130917600, 288542390400] 1636470 {O} []	0	-	-	-	-	550
551	[0, 19845, 0, 131393664, 290117210112] 2053026 {O} []	1	[-414063069416879789818170 : -3232142072935344605940751 : 76593978716619987000]	37.8726614228003	[-1989952864684705236486241 : 4474331281185983975395261 : 559772673612066024418980]	-	551
552	[0, 19881, 0, 131870592, 291697749504] 2060478 {O} []	1	[-5688 : 28440 : 1]	0.94018728783217	[8 : -2 : 1]	[8, -2], [-2, 8]	552
553	[0, 19917, 0, 132348384, 293284018944] 2757258 {O} []	0	-	-	-	-	553
554	[0, 19953, 0, 132827040, 294876028800] 8301690 {O} []	0	-	-	-	-	554
555	[0, 19989, 0, 133306560, 296473789440] 4165830 {O} []	1	[-5189 : 56980 : 1]	7.50393583406417	[72547 : -41413 : 8898]	-	555
556	[0, 20025, 0, 133786944, 298077311232] 4180842 {O} []	1	[-83754693724673498711227206463528694505 : 14096974340176088715824940650324227292 : 13420681626119664071743001493242625]	59.1059646256422	[265361055514196584849506560040910310807 : 237167106833844407417856678740261856223 : 35694853585862015665818093103830065970]	-	556
557	[0, 20061, 0, 134268192, 299686604544] 932418 {O} []	2	[-5580 : 36828 : 1], [47340 : 12558132 : 1]	1.41268886271368, 7.31934952839341	[8 : -3 : 1], [57482 : -58797 : 1501]	[8, -3], [-3, 8]	557
558	[0, 20097, 0, 134750304, 301301679744] 935766 {O} []	0	-	-	-	-	558
559	[0, 20133, 0, 135233280, 302922547200] 1056510 {O} []	1	[-6272 : 1792 : 1]	1.96182047131945	[23 : 19 : 3]	-	559
560	[0, 20169, 0, 135717120, 304549217280] 1060290 {O} []	0	-	-	-	-	560
561	[0, 20205, 0, 136201824, 306181700352] 8512614 {O} []	1	[-343819986820 : -272932112809 : 54872000]	18.6382797736822	[758527847651 : 1304392073269 : 157420687080]	-	561
562	[0, 20241, 0, 136687392, 307820006784] 2847654 {O} []	1	[-3622877445982928904494295 : 4761639933840175061256686 : 581713420203811393875]	38.6845988561949	[15630272271788961774739571 : 6106992404108611652226199 : 1843070525484125235151230]	-	562
563	[0, 20277, 0, 137173824, 309464146944] 4286682 {O} []	0	-	-	-	-	563
564	[0, 20313, 0, 137661120, 311114131200] 4301910 {O} []	0	-	-	-	-	564
565	[0, 20349, 0, 138149280, 312769969920] 8634330 {O} []	0	-	-	-	-	565
566	[0, 20385, 0, 138638304, 314431673472] 35658 {O} []	1	[-6237 : 10206 : 1]	1.43309624070857	[17 : 5 : 2]	-	566
567	[0, 20421, 0, 139128192, 316099252224] 2982 {O} []	1	[-6273 : 8910 : 1]	4.62999398387552	[3081 : 1101 : 362]	-	567
568	[0, 20457, 0, 139618944, 317772716544] 2181546 {O} []	0	-	-	-	-	568
569	[0, 20493, 0, 140110560, 319452076800] 8756910 {O} []	1	[-812153370028 : -10516601122028 : 156590819]	16.8252996422866	[-53158822447 : 85217508106 : 10220835471]	-	569
570	[0, 20529, 0, 140603040, 321137343360] 8787690 {O} []	1	[-165183 : 491050 : 27]	9.20116522049422	[986599 : 4499 : 118926]	-	570
571	[0, 20565, 0, 141096384, 322828526592] 1469754 {O} []	1	[-798720 : 527904 : 125]	4.19476017741630	[781 : 499 : 95]	-	571
572	[0, 20601, 0, 141590592, 324525636864] 4424706 {O} []	0	-	-	-	-	572
573	[0, 20637, 0, 142085664, 326228684544] 8880354 {O} []	0	-	-	-	-	573
574	[0, 20673, 0, 142581600, 327937680000] 1782270 {O} []	0	-	-	-	-	574
575	[0, 20709, 0, 143078400, 329652633600] 6210 {O} []	1	[-4608 : 110592 : 1]	1.17298053742196	[9 : -7 : 1]	[9, -7], [-7, 9]	575
576	[0, 20745, 0, 143576064, 331373555712] 31158 {O} []	0	-	-	-	-	576
577	[0, 20781, 0, 144074592, 333100456704] 529686 {O} []	1	[-6420 : 7092 : 1]	3.95475715833453	[366 : 169 : 43]	-	577
578	[0, 20817, 0, 144573984, 334833346944] 531522 {O} []	0	-	-	-	-	578
579	[0, 20853, 0, 145074240, 336572236800] 4533570 {O} []	0	-	-	-	-	579
580	[0, 20889, 0, 145575360, 338317136640] 1516410 {O} []	1	[-150576 : 1400896 : 27]	7.92625365194171	[231578 : -118646 : 28251]	-	580
581	[0, 20925, 0, 146077344, 340068056832] 9129834 {O} []	0	-	-	-	-	581
582	[0, 20961, 0, 146580192, 341825007744] 9161262 {O} []	0	-	-	-	-	582
583	[0, 20997, 0, 147083904, 343587999744] 2298186 {O} []	0	-	-	-	-	583
584	[0, 21033, 0, 147588480, 345357043200] 256230 {O} []	1	[-6552 : 2808 : 1]	1.00536727677305	[8 : 6 : 1]	[8, 6], [6, 8]	584
585	[0, 21069, 0, 148093920, 347132148480] 1028430 {O} []	0	-	-	-	-	585
586	[0, 21105, 0, 148600224, 348913325952] 9287514 {O} []	0	-	-	-	-	586
587	[0, 21141, 0, 149107392, 350700585984] 665658 {O} []	1	[-6272 : 20384 : 1]	2.0321746963250	[25 : -1 : 3]	-	587
588	[0, 21177, 0, 149615424, 352493938944] 667926 {O} []	1	[0 : 593712 : 1]	0.48411691049191	[14 : -14 : 1]	[14, -14], [-14, 14]	588
589	[0, 21213, 0, 150124320, 354293395200] 3127590 {O} []	1	[182360040 : -63273152349 : 64000]	14.9641702242915	[-7091136941 : 6969563581 : 423653360]	-	589
590	[0, 21249, 0, 150634080, 356098965120] 9414630 {O} []	0	-	-	-	-	590
591	[0, 21285, 0, 151144704, 357910659072] 1180818 {O} []	0	-	-	-	-	591
592	[0, 21321, 0, 151656192, 359728487424] 1184814 {O} []	1	[39552927979488 : 55790933784824960 : 84546715869]	23.6689504041448	[6959034375110812 : -6988699071095428 : 480890518577469]	-	592
593	[0, 21357, 0, 152168544, 361552460544] 117414 {O} []	1	[-6660 : 2052 : 1]	3.18268227059119	[102 : 83 : 13]	-	593
594	[0, 21393, 0, 152681760, 363382588800] 13090 {O} []	0	-	-	-	-	594
595	[0, 21429, 0, 153195840, 365218882560] 4787370 {O} []	1	[-179808 : 128960 : 27]	6.56346757660465	[20887 : 12827 : 2493]	-	595
596	[0, 21465, 0, 153710784, 367061352192] 4803462 {O} []	0	-	-	-	-	596
597	[0, 21501, 0, 154226592, 368910008064] 9639162 {O} []	1	[-4572 : 132876 : 1]	5.13459437933188	[2036 : -1655 : 217]	-	597
598	[0, 21537, 0, 154743264, 370764860544] 3223818 {O} []	2	[-6717 : 2106 : 1], [-18176298 : 25853661 : 2744]	5.12425298883286, 10.4942056699372	[2473 : 2005 : 314], [8931395 : 3186137 : 1031716]	-	598
599	[0, 21573, 0, 155260800, 372625920000] 485190 {O} []	0	-	-	-	-	599
600	[0, 21609, 0, 155779200, 374493196800] 486810 {O} []	1	[-6680 : 7480 : 1]	4.18111977111123	[3440 : 1570 : 399]	-	600
601	[0, 21645, 0, 156298464, 376366701312] 9768654 {O} []	0	-	-	-	-	601
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603	[0, 21717, 0, 157339584, 380132434944] 546318 {O} []	2	[-6644 : 11476 : 1], [-2417 : 335546 : 1]	2.17286565560950, 8.54808867232850	[26 : 7 : 3], [342797 : -328295 : 28986]	-	603
604	[0, 21753, 0, 157861440, 382024684800] 448470 {O} []	0	-	-	-	-	604
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606	[0, 21825, 0, 158907744, 385828002432] 9931734 {O} []	0	-	-	-	-	606
607	[0, 21861, 0, 159432192, 387739090944] 207594 {O} []	1	[-5700 : 63612 : 1]	2.57767917815024	[59 : -34 : 7]	-	607
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610	[0, 21969, 0, 161010720, 393510199680] 10063170 {O} []	1	[894887257812 : -234270608764753 : 21024576]	22.0647974506095	[-236955270538189 : 231585946991317 : 6294236694264]	-	610
611	[0, 22005, 0, 161538624, 395446551552] 560898 {O} []	0	-	-	-	-	611
612	[0, 22041, 0, 162067392, 397389245184] 562734 {O} []	1	[-6128 : 42560 : 1]	5.64006569946513	[7618 : -3022 : 921]	-	612
613	[0, 22077, 0, 162597024, 399338290944] 10162314 {O} []	0	-	-	-	-	613
614	[0, 22113, 0, 163127520, 401293699200] 10195470 {O} []	1	[-12128665925568870880539052408958518410675706662 : 3760454492030533770762345603306228301168453425305 : 8274384885827459270699266451331120561487944]	74.6201730817115	[3796840489807240383403962760533103856400480545291 : -3724068494253827158120728446079352745936426305319 : 293617767191026671223329204011190907998631920348]	-	614
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616	[0, 22185, 0, 164191104, 405223644672] 855162 {O} []	0	-	-	-	-	616
617	[0, 22221, 0, 164724192, 407198202624] 10295262 {O} []	1	[-35844 : 12816908 : 27]	6.48778512969625	[15685 : -15424 : 1197]	-	617
618	[0, 22257, 0, 165258144, 409179164544] 10328634 {O} []	1	[1561526427544680 : -615334847518272329 : 11852352000]	27.3096354052662	[-620019426800906369 : 610650268235638289 : 9897394189204080]	-	618
619	[0, 22293, 0, 165792960, 411166540800] 5181030 {O} []	1	[-6944 : 3968 : 1]	2.09377815135865	[25 : 17 : 3]	-	619
620	[0, 22329, 0, 166328640, 413160341760] 64170 {O} []	1	[-6453 : 30618 : 1]	3.93074282048403	[617 : -139 : 74]	-	620
621	[0, 22365, 0, 166865184, 415160577792] 14306 {O} []	0	-	-	-	-	621
622	[0, 22401, 0, 167402592, 417167259264] 10462662 {O} []	1	[-1649653530 : 1977566661 : 238328]	12.3592258268951	[109944877 : 47164983 : 12579676]	-	622
623	[0, 22437, 0, 167940864, 419180396544] 1312038 {O} []	0	-	-	-	-	623
624	[0, 22473, 0, 168480000, 421200000000] 10530 {O} []	1	[-5000 : 125000 : 1]	1.21942538914861	[28 : -22 : 3]	-	624
625	[0, 22509, 0, 169020000, 423226080000] 28170 {O} []	1	[-6260 : 43820 : 1]	0.96681099114640	[25 : -10 : 3]	-	625
626	[0, 22545, 0, 169560864, 425258646912] 10597554 {O} []	0	-	-	-	-	626
627	[0, 22581, 0, 170102592, 427297711104] 5315706 {O} []	1	[-7013 : 6020 : 1]	6.83980244009973	[27059 : 15019 : 3138]	-	627
628	[0, 22617, 0, 170645184, 429343282944] 5332662 {O} []	0	-	-	-	-	628
629	[0, 22653, 0, 171188640, 431395372800] 1188810 {O} []	0	-	-	-	-	629
630	[0, 22689, 0, 171732960, 433453991040] 1192590 {O} []	0	-	-	-	-	630
631	[0, 22725, 0, 172278144, 435519148032] 2691846 {O} []	0	-	-	-	-	631
632	[0, 22761, 0, 172824192, 437590854144] 2700378 {O} []	0	-	-	-	-	632
633	[0, 22797, 0, 173371104, 439669119744] 10835694 {O} []	0	-	-	-	-	633
634	[0, 22833, 0, 173918880, 441753955200] 3623310 {O} []	2	[-56134 : 86995 : 8], [-1851339 : 35934030 : 343]	5.07516912759436, 10.0980199702087	[2011 : 641 : 228], [4609783 : -3375557 : 508214]	-	634
635	[0, 22869, 0, 174467520, 443845370880] 5452110 {O} []	1	[-96 : 17975296 : 27]	8.75354279588157	[561737 : -561719 : 38619]	-	635
636	[0, 22905, 0, 175017024, 445943377152] 781326 {O} []	0	-	-	-	-	636
637	[0, 22941, 0, 175567392, 448047984384] 1567566 {O} []	1	[-23562868581 : -123594310000 : 3581577]	16.3727443098725	[-52905704257 : 194282915743 : 23146109586]	-	637
638	[0, 22977, 0, 176118624, 450159202944] 1223046 {O} []	1	[169072230 : 44361537389 : 27000]	16.3675637477312	[43854320699 : -44868754079 : 2256649380]	-	638
639	[0, 23013, 0, 176670720, 452277043200] 19170 {O} []	1	[-5869372434 : 105706988765 : 1061208]	17.0763761590834	[123315106067 : -88098871463 : 13684230036]	-	639
640	[0, 23049, 0, 177223680, 454401515520] 173070 {O} []	0	-	-	-	-	640
641	[0, 23085, 0, 177777504, 456532630272] 11111094 {O} []	0	-	-	-	-	641
642	[0, 23121, 0, 178332192, 458670397824] 11145762 {O} []	2	[-7073 : 12860 : 1], [-891805 : 1184012 : 125]	2.64668953426751, 10.1213072784473	[53 : 13 : 6], [3859427 : 1491403 : 436170]	-	642
643	[0, 23157, 0, 178887744, 460814828544] 1863414 {O} []	1	[-7140 : 9828 : 1]	2.57731047983813	[62 : 23 : 7]	-	643
644	[0, 23193, 0, 179444160, 462965932800] 5607630 {O} []	1	[-219230558978640 : -365427895582016 : 30811485375]	21.3102165381186	[36532972669238 : 127889946564742 : 14437753367895]	-	644
645	[0, 23229, 0, 180001440, 465123720960] 11250090 {O} []	1	[-6029 : 71380 : 1]	7.64453276902353	[89467 : -53293 : 10338]	-	645
646	[0, 23265, 0, 180559584, 467288203392] 11284974 {O} []	0	-	-	-	-	646
647	[0, 23301, 0, 181118592, 469459390464] 11646 {O} []	1	[-7020 : 18468 : 1]	2.37241874367503	[61 : 4 : 7]	-	647
648	[0, 23337, 0, 181678464, 471637292544] 3894 {O} []	1	[-7272 : 4536 : 1]	2.79842159358165	[366 : 240 : 43]	-	648
649	[0, 23373, 0, 182239200, 473821920000] 2277990 {O} []	1	[-6825 : 29250 : 1]	1.63054595311439	[17 : -3 : 2]	-	649
650	[0, 23409, 0, 182800800, 476013283200] 2285010 {O} []	0	-	-	-	-	650
651	[0, 23445, 0, 183363264, 478211392512] 5730102 {O} []	0	-	-	-	-	651
652	[0, 23481, 0, 183926592, 480416258304] 1915902 {O} []	1	[-867408204 : 9545251815 : 140608]	13.8739455470392	[1349719603 : -771447467 : 156264056]	-	652
653	[0, 23517, 0, 184490784, 482627890944] 11530674 {O} []	1	[-7085 : 18748 : 1]	3.93501694119599	[367 : 23 : 42]	-	653
654	[0, 23553, 0, 185055840, 484846300800] 11565990 {O} []	0	-	-	-	-	654
655	[0, 23589, 0, 185621760, 487071498240] 1450170 {O} []	1	[-260313970366122761088 : 22470296658484623234560 : 75914255037587967]	30.9208140703853	[181650301324867121233 : -169448083963955116807 : 15810142747957955397]	-	655
656	[0, 23625, 0, 186188544, 489303493632] 161622 {O} []	0	-	-	-	-	656
657	[0, 23661, 0, 186756192, 491542297344] 1296918 {O} []	0	-	-	-	-	657
658	[0, 23697, 0, 187324704, 493787919744] 11707794 {O} []	1	[1002088062096 : -262607485391083 : 147197952]	22.1574654338553	[-265613749577371 : 259601221204795 : 12996776799072]	-	658
659	[0, 23733, 0, 187894080, 496040371200] 5871690 {O} []	0	-	-	-	-	659
660	[0, 23769, 0, 188464320, 498299662080] 5889510 {O} []	1	[-6869 : 33670 : 1]	7.28261158882760	[54277 : -13063 : 6378]	-	660
661	[0, 23805, 0, 189035424, 500565802752] 3938238 {O} []	1	[-3972 : 250236 : 1]	1.46948676220974	[11 : -10 : 1]	[11, -10], [-10, 11]	661
662	[0, 23841, 0, 189607392, 502838803584] 11850462 {O} []	0	-	-	-	-	662
663	[0, 23877, 0, 190180224, 505118674944] 2971566 {O} []	2	[-7457 : 3034 : 1], [-924145 : 1068056 : 125]	6.84701505975900, 10.1253035557869	[25405 : 19337 : 3066], [3840491 : 1704379 : 431130]	-	663
664	[0, 23913, 0, 190753920, 507405427200] 2980530 {O} []	1	[-7448 : 5320 : 1]	1.75874159564041	[26 : 16 : 3]	-	664
665	[0, 23949, 0, 191328480, 509699070720] 1328670 {O} []	0	-	-	-	-	665
666	[0, 23985, 0, 191903904, 511999615872] 1332666 {O} []	0	-	-	-	-	666
667	[0, 24021, 0, 192480192, 514307073024] 6015006 {O} []	0	-	-	-	-	667
668	[0, 24057, 0, 193057344, 516621452544] 6033042 {O} []	2	[-7136 : 24976 : 1], [-64653792 : -303653456 : 9261]	1.82909963792186, 11.6304841697745	[26 : -2 : 3], [-13711510 : 62201854 : 7270137]	-	668
669	[0, 24093, 0, 193635360, 518942764800] 12102210 {O} []	1	[-2948 : 363140 : 1]	4.41252936617006	[694 : -661 : 57]	-	669
670	[0, 24129, 0, 194214240, 521271020160] 4046130 {O} []	1	[-270800818365 : -10849323395826 : 57066625]	18.4651698618280	[-1115213437859 : 1295747316769 : 125799764090]	-	670
671	[0, 24165, 0, 194793984, 523606228992] 760914 {O} []	0	-	-	-	-	671
672	[0, 24201, 0, 195374592, 525948401664] 763182 {O} []	1	[-7568 : 1520 : 1]	4.63071080679104	[3028 : 2648 : 381]	-	672
673	[0, 24237, 0, 195956064, 528297548544] 12247254 {O} []	1	[-35313556 : 124529588 : 4913]	7.57454650013555	[85486 : -6895 : 9843]	-	673
674	[0, 24273, 0, 196538400, 530653680000] 30330 {O} []	0	-	-	-	-	674
675	[0, 24309, 0, 197121600, 533016806400] 130 Z/2Z [[-7605, 0]]	1	[-7488 : 11232 : 1]	0.19507735893245	[9 : 3 : 1]	[9, 3], [3, 9], [-6, 9], [9, -6], [15, -15], [-15, 15]	675
676	[0, 24345, 0, 197705664, 535386938112] 475254 {O} []	0	-	-	-	-	676
677	[0, 24381, 0, 198290592, 537764085504] 12393162 {O} []	0	-	-	-	-	677
678	[0, 24417, 0, 198876384, 540148258944] 12429774 {O} []	1	[-61110 : 6111 : 8]	2.42742407441538	[31 : 29 : 4]	-	678
679	[0, 24453, 0, 199463040, 542539468800] 1038870 {O} []	1	[-851517 : -425902960 : 729]	13.2957892365738	[-423348409 : 428457511 : 30582738]	-	679
680	[0, 24489, 0, 200050560, 544937725440] 3125790 {O} []	0	-	-	-	-	680
681	[0, 24525, 0, 200638944, 547343039232] 12539934 {O} []	0	-	-	-	-	681
682	[0, 24561, 0, 201228192, 549755420544] 12576762 {O} []	0	-	-	-	-	682
683	[0, 24597, 0, 201818304, 552174879744] 700758	1	[-7524 : 14364 : 1]	1.46390360529325	[9 : 2 : 1]	[9, 2], [2, 9]	683
684	[0, 24633, 0, 202409280, 554601427200] 702810 {O} []	2	[-6848 : 50320 : 1], [-21085162 : 13085155 : 2744]	5.74203906240764, 12.1590427590443	[8858 : -3722 : 1029], [76340641 : 50170331 : 8823108]	-	684
685	[0, 24669, 0, 203001120, 557035073280] 258930 {O} []	1	[-7644 : 8820 : 1]	1.05055358927080	[9 : 4 : 1]	[9, 4], [4, 9]	685
686	[0, 24705, 0, 203593824, 559475828352] 259686 {O} []	0	-	-	-	-	686
687	[0, 24741, 0, 204187392, 561923702784] 1595214 {O} []	1	[-7740 : 1548 : 1]	1.50533528586488	[8 : 7 : 1]	[8, 7], [7, 8]	687
688	[0, 24777, 0, 204781824, 564378706944] 533286 {O} []	0	-	-	-	-	688
689	[0, 24813, 0, 205377120, 566840851200] 12836070 {O} []	1	[-208584266636431725 : -454374302388353452 : 27612067640625]	27.6800409079967	[171378497520941723 : 1080127102297648627 : 120261920567659650]	-	689
690	[0, 24849, 0, 205973280, 569310145920] 12873330 {O} []	0	-	-	-	-	690
691	[0, 24885, 0, 206570304, 571786601472] 6455322 {O} []	0	-	-	-	-	691
692	[0, 24921, 0, 207168192, 574270228224] 719334 {O} []	1	[-5040 : 187488 : 1]	2.97322777141618	[134 : -114 : 13]	-	692
693	[0, 24957, 0, 207766944, 576761036544] 1442826 {O} []	2	[-58486 : 249047 : 8], [-2777 : 413326 : 1]	8.64873582525341, 8.68422178243857	[424505 : -73589 : 48828], [421657 : -404995 : 33306]	-	693
694	[0, 24993, 0, 208366560, 579259036800] 13022910 {O} []	1	[-1275117195 : -2288611926 : 166375]	10.2684516002330	[1228409 : 4887261 : 539330]	-	694
695	[0, 25029, 0, 208967040, 581764239360] 3265110 {O} []	1	[-8145135231613993140270465 : -57971676483292453966007378 : 1165336961039506634625]	39.8105308820430	[-33536270788450474545195983 : 82407082178134433386818773 : 9526554401927797632705210]	-	695
696	[0, 25065, 0, 209568384, 584276654592] 3274506 {O} []	1	[-755080 : 13995352 : 125]	9.27184103617316	[2032574 : -1466264 : 217815]	-	696
697	[0, 25101, 0, 210170592, 586796292864] 4378554 {O} []	2	[-6980 : 51652 : 1], [-958245 : 1940274 : 125]	2.20144199338515, 8.60853820050652	[26 : -11 : 3], [535001 : 103829 : 59170]	-	697
698	[0, 25137, 0, 210773664, 589323164544] 13173354 {O} []	1	[-1178111631350554953557989810782752964780 : 2288435629232063185701145829212132065691 : 153223676977620269445912416123208000]	61.0405947805611	[5822770523283728046375115261560390960031 : 1245899264819601674972823603136126828649 : 642771426826343199325941213952294435320]	-	698
699	[0, 25173, 0, 211377600, 591857280000] 1321110 {O} []	0	-	-	-	-	699
700	[0, 25209, 0, 211982400, 594398649600] 1324890 {O} []	0	-	-	-	-	700
701	[0, 25245, 0, 212588064, 596947283712] 164034 {O} []	0	-	-	-	-	701
702	[0, 25281, 0, 213194592, 599503192704] 18278 {O} []	1	[-63270 : 18981 : 8]	1.70058917224300	[33 : 27 : 4]	-	702
703	[0, 25317, 0, 213801984, 602066386944] 417582 {O} []	2	[-7680 : 18432 : 1], [-5844 : 132876 : 1]	1.11577948879604, 5.14893703239864	[9 : 1 : 1], [2089 : -1602 : 217]	[9, 1], [1, 9]	703
704	[0, 25353, 0, 214410240, 604636876800] 418770 {O} []	1	[-68135928 : 328890680 : 9261]	11.4464449027888	[66662308 : -15560362 : 7659099]	-	704
705	[0, 25389, 0, 215019360, 607214672640] 13438710 {O} []	1	[-21795466 : 6648445 : 2744]	12.1629808308139	[72034843 : 58737953 : 8710212]	-	705
706	[0, 25425, 0, 215629344, 609799784832] 4492278 {O} []	0	-	-	-	-	706
707	[0, 25461, 0, 216240192, 612392223744] 6757506 {O} []	1	[-59265271742130 : 683821632331711 : 8869743000]	22.9688018333535	[861617447558101 : -506025817105321 : 96552388715220]	-	707
708	[0, 25497, 0, 216851904, 614991999744] 6776622 {O} []	1	[-993445 : 752284 : 125]	10.1336236770465	[3732619 : 2228051 : 420330]	-	708
709	[0, 25533, 0, 217464480, 617599123200] 13591530 {O} []	0	-	-	-	-	709
710	[0, 25569, 0, 218077920, 620213604480] 1514430 {O} []	1	[-212271 : 355454 : 27]	9.20738003606046	[992267 : 281359 : 108558]	-	710
711	[0, 25605, 0, 218692224, 622835453952] 379674 {O} []	1	[-2721990374420946841544709317515 : 843420068885822022783605748716 : 339757360834272988951685375]	47.6177075399957	[9009391192148662547417733701261 : 7322551054377018501850522203829 : 1085379099282489456350943158910]	-	711
712	[0, 25641, 0, 219307392, 625464681984] 3426678 {O} []	1	[-6200 : 114328 : 1]	3.77781981925176	[536 : -386 : 57]	-	712
713	[0, 25677, 0, 219923424, 628101298944] 13745214 {O} []	0	-	-	-	-	713
714	[0, 25713, 0, 220540320, 630745315200] 13783770 {O} []	1	[-38134 : 1883375 : 8]	9.72566890800607	[1997777 : -1768973 : 183036]	-	714
715	[0, 25749, 0, 221158080, 633396741120] 2303730 {O} []	2	[-7968 : 10368 : 1], [-60342 : 261225 : 8]	2.89955205129625, 7.02861291400510	[119 : 47 : 13], [49139 : -8911 : 5596]	-	715
716	[0, 25785, 0, 221776704, 636055587072] 6930522 {O} []	1	[-50279458778483893199500099042292762880 : -5633893264797144335556880680580887248 : 6226955301155302402168701729891375]	57.0338683613285	[18150560383831816907867927055787175174 : 19559033700031102991757147225932396986 : 2472948474492246501569557981269470715]	-	716
717	[0, 25821, 0, 222396192, 638721863424] 13899762 {O} []	1	[-332638915 : 978939746 : 42875]	14.2695032036922	[1976856491 : 18976999 : 220632510]	-	717
718	[0, 25857, 0, 223016544, 641395580544] 13938534 {O} []	1	[461500413169389 : -114365685574024318 : 17718342543]	26.1958303395972	[-115750186813532485 : 112981184334516151 : 3686245635782358]	-	718
719	[0, 25893, 0, 223637760, 644076748800] 194130 {O} []	1	[-8064 : 6912 : 1]	1.27068689682026	[9 : 5 : 1]	[9, 5], [5, 9]	719
720	[0, 25929, 0, 224259840, 646765378560] 194670 {O} []	0	-	-	-	-	720
721	[0, 25965, 0, 224882784, 649461480192] 739746 {O} []	1	[-8132 : 836 : 1]	3.05526483550102	[166 : 155 : 21]	-	721
722	[0, 26001, 0, 225506592, 652165064064] 741798 {O} []	0	-	-	-	-	722
723	[0, 26037, 0, 226131264, 654876140544] 7066602 {O} []	1	[-8145 : 3258 : 1]	1.97565705805450	[17 : 13 : 2]	-	723
724	[0, 26073, 0, 226756800, 657594720000] 472410 {O} []	1	[495600 : -350244000 : 343]	7.35669736727066	[-195406 : 193754 : 11599]	-	724
725	[0, 26109, 0, 227383200, 660320812800] 258390 {O} []	1	[-176415 : 2742740 : 27]	9.24386557397642	[3271985 : -2213495 : 352854]	-	725
726	[0, 26145, 0, 228010464, 663054429312] 1295514 {O} []	1	[-7997 : 15994 : 1]	1.47115444316154	[55 : 11 : 6]	-	726
727	[0, 26181, 0, 228638592, 665795579904] 3572478 {O} []	0	-	-	-	-	727
728	[0, 26217, 0, 229267584, 668544274944] 1638 {O} []	1	[-5832 : 157464 : 1]	0.48550076383973	[10 : -8 : 1]	[10, -8], [-8, 10]	728
729	[0, 26253, 0, 229897440, 671300524800] 2190 Z/3Z [[-7884, 23652]]	1	[-8073 : 13770 : 1]	4.10219112943115	[4221 : 1161 : 458]	[9, 0], [0, 9]	729
730	[0, 26289, 0, 230528160, 674064339840] 14408010 {O} []	0	-	-	-	-	730
731	[0, 26325, 0, 231159744, 676835730432] 7223742 {O} []	0	-	-	-	-	731
732	[0, 26361, 0, 231792192, 679614706944] 7243506 {O} []	0	-	-	-	-	732
733	[0, 26397, 0, 232425504, 682401279744] 4842198 {O} []	1	[206988 : 100239444 : 1]	5.31262104312216	[3770 : -3817 : 49]	-	733
734	[0, 26433, 0, 233059680, 685195459200] 2080890 {O} []	0	-	-	-	-	734
735	[0, 26469, 0, 233694720, 687997255680] 130410 {O} []	0	-	-	-	-	735
736	[0, 26505, 0, 234330624, 690806679552] 915354 {O} []	0	-	-	-	-	736
737	[0, 26541, 0, 234967392, 693623741184] 1631718 {O} []	1	[-1038105 : 429408 : 125]	7.94159669829414	[131249 : 99441 : 15310]	-	737
738	[0, 26577, 0, 235605024, 696448450944] 1636146 {O} []	1	[-2154551 : 45114812 : 343]	11.8906401526869	[51578465 : -38651159 : 5323038]	-	738
739	[0, 26613, 0, 236243520, 699280819200] 7382610 {O} []	2	[-7104 : 74592 : 1], [-7932 : 27252 : 1]	1.38892303290917, 4.37892921862557	[9 : -5 : 1], [709 : -48 : 79]	[9, -5], [-5, 9]	739
740	[0, 26649, 0, 236882880, 702120856320] 7402590 {O} []	0	-	-	-	-	740
741	[0, 26685, 0, 237523104, 704968572672] 14845194 {O} []	0	-	-	-	-	741
742	[0, 26721, 0, 238164192, 707823978624] 4961754 {O} []	0	-	-	-	-	742
743	[0, 26757, 0, 238806144, 710687084544] 3731346 {O} []	1	[-866505583 : -676101878 : 103823]	12.3606676660666	[62045641 : 105665117 : 11695386]	-	743
744	[0, 26793, 0, 239448960, 713557900800] 3741390 {O} []	0	-	-	-	-	744
745	[0, 26829, 0, 240092640, 716436437760] 15005790 {O} []	0	-	-	-	-	745
746	[0, 26865, 0, 240737184, 719322705792] 1671786 {O} []	0	-	-	-	-	746
747	[0, 26901, 0, 241382592, 722216715264] 838134 {O} []	1	[-1053505 : 225368 : 125]	10.1405853952803	[3385883 : 2935147 : 410970]	-	747
748	[0, 26937, 0, 242028864, 725118476544] 7563402 {O} []	0	-	-	-	-	748
749	[0, 26973, 0, 242676000, 728028000000] 606690 {O} []	1	[-534796282599552633 : 2120399597146578290 : 67126369094721]	28.5148327445972	[3724788444945236189 : -516010749347920391 : 416046235517618202]	-	749
750	[0, 27009, 0, 243324000, 730945296000] 608310 {O} []	2	[-67590 : -33795 : 8], [-3005 : 465310 : 1]	1.37075977820053, 7.68867387743658	[25 : 35 : 4], [474325 : -456295 : 36042]	-	750
751	[0, 27045, 0, 243972864, 733870374912] 635346 {O} []	0	-	-	-	-	751
752	[0, 27081, 0, 244622592, 736803247104] 1911114 {O} []	1	[-28637760 : 6300064 : 3375]	10.2631038633549	[11526668 : 9951652 : 1394055]	-	752
753	[0, 27117, 0, 245273184, 739743922944] 15329574 {O} []	0	-	-	-	-	753
754	[0, 27153, 0, 245924640, 742692412800] 15370290 {O} []	1	[-113770167996720604635924 : -4641260850504784435132225 : 21035821582009015488]	37.9657689716858	[-4299950346514622621224453 : 4982571354494946249039997 : 460886253217686454112136]	-	754
755	[0, 27189, 0, 246576960, 745648727040] 95130 {O} []	1	[-8064 : 30240 : 1]	1.35472089994165	[9 : -1 : 1]	[9, -1], [-1, 9]	755
756	[0, 27225, 0, 247230144, 748612876032] 10598 {O} []	0	-	-	-	-	756
757	[0, 27261, 0, 247884192, 751584870144] 15492762 {O} []	0	-	-	-	-	757
758	[0, 27297, 0, 248539104, 754564719744] 15533694 {O} []	1	[-3845764274864686314363961554667807214475094915383272598 : 273399506136280964269801038565000655317079418693474415871 : 862606872179517605566548816096334282279038284511624]	86.7133980008726	[284936798960875023212892923229004076960504703439624233665 : -261862213311686905326709153900997233673654133947324598077 : 24065154701678160222816990374025632571134314679691592764]	-	758
759	[0, 27333, 0, 249194880, 757552435200] 3893670 {O} []	0	-	-	-	-	759
760	[0, 27369, 0, 249851520, 760548026880] 1301310 {O} []	2	[-7608 : 58968 : 1], [-231288 : 105560 : 27]	4.07548502182906, 7.29202169117318	[1136 : -502 : 127], [99928 : 73538 : 11457]	-	760
761	[0, 27405, 0, 250509024, 763551505152] 15656814 {O} []	1	[-164268881332675 : 62720201059982 : 19141296875]	19.4943848674750	[4374227126441 : 3386507424709 : 508305698850]	-	761
762	[0, 27441, 0, 251167392, 766562880384] 15697962 {O} []	0	-	-	-	-	762
763	[0, 27477, 0, 251826624, 769582162944] 7869582 {O} []	1	[-29065440 : 5988608 : 3375]	9.92612817556257	[2912029 : 2537741 : 351855]	-	763
764	[0, 27513, 0, 252486720, 772609363200] 876690 {O} []	1	[-8597790 : 5620131 : 1000]	9.36706105174392	[1163463 : 747157 : 129380]	-	764
765	[0, 27549, 0, 253147680, 775644491520] 1757970 {O} []	0	-	-	-	-	765
766	[0, 27585, 0, 253809504, 778687558272] 15863094 {O} []	1	[-8367078057 : -35148819654 : 1030301]	13.3820233141272	[-85876799 : 514957725 : 57221146]	-	766
767	[0, 27621, 0, 254472192, 781738573824] 124254 {O} []	1	[238989477888 : 63605638430720 : 6751269]	15.6524076949502	[30707358397 : -31407522883 : 882448749]	-	767
768	[0, 27657, 0, 255135744, 784797548544] 124578 {O} []	1	[0 : 885888 : 1]	2.42742407441538	[16 : -16 : 1]	[16, -16], [-16, 16]	768
769	[0, 27693, 0, 255800160, 787864492800] 5329170 {O} []	1	[808836 : -739917612 : 1]	9.28367487777549	[-1472905 : 1463276 : 9739]	-	769
770	[0, 27729, 0, 256465440, 790939416960] 16029090 {O} []	1	[-149883 : 6077980 : 27]	10.5146304813074	[6527629 : -5628331 : 599526]	-	770
771	[0, 27765, 0, 257131584, 794022331392] 8035362 {O} []	2	[-8492 : 17756 : 1], [-8677310 : 5745853 : 1000]	2.21964861165814, 11.5711491921401	[28 : 5 : 3], [31777783 : 20286077 : 3520140]	-	771
772	[0, 27801, 0, 257798592, 797113246464] 8056206 {O} []	1	[103429570520223569993169800379 : -1606664954593919475717611443063370 : 428680336981236222897]	50.9729806640300	[-1606975243305480146427590952464507 : 1606354665882358805007631933662233 : 620601281754176447642240357706]	-	772
773	[0, 27837, 0, 258466464, 800212172544] 1794906 {O} []	2	[-7740 : 60372 : 1], [-7524 : 73764 : 1]	1.49544723793497, 4.10441213535876	[9 : -4 : 1], [446 : -237 : 49]	[9, -4], [-4, 9]	773
774	[0, 27873, 0, 259135200, 803319120000] 359910 {O} []	1	[-23549050 : 40414625 : 2744]	9.93806372022029	[4442471 : 1209301 : 472836]	-	774
775	[0, 27909, 0, 259804800, 806434099200] 811890 {O} []	1	[-8148 : 38412 : 1]	1.47768716091592	[9 : -2 : 1]	[9, -2], [-2, 9]	775
776	[0, 27945, 0, 260475264, 809557120512] 4069926 {O} []	1	[-5613048 : 47392856 : 729]	6.46553010702080	[31000 : -14746 : 3429]	-	776
777	[0, 27981, 0, 261146592, 812688194304] 16321662 {O} []	1	[283215165 : -96094712584 : 3375]	16.8631413171046	[-96944358079 : 95245067089 : 1888344990]	-	777
778	[0, 28017, 0, 261818784, 815827330944] 5454558 {O} []	0	-	-	-	-	778
779	[0, 28053, 0, 262491840, 818974540800] 8202870 {O} []	0	-	-	-	-	779
780	[0, 28089, 0, 263165760, 822129834240] 8223930 {O} []	1	[-8768 : 6992 : 1]	5.25155920062836	[4162 : 2414 : 453]	-	780
781	[0, 28125, 0, 263840544, 825293221632] 16490034 {O} []	1	[-18236373104517842257035399867166634397022656420 : 4517498101788409577852672262836609480293868261261 : 7694859724167224270798594984325175722072000]	74.7420436983698	[4572207221101963104623778462438109383484936230521 : -4462788982474856051081566063235109577102800292001 : 323833143282404341800831692794444887473405949480]	-	781
782	[0, 28161, 0, 264516192, 828464713344] 204102 {O} []	1	[-2338119 : 44920980 : 343]	8.59809556076780	[641177 : -467983 : 65534]	-	782
783	[0, 28197, 0, 265192704, 831644319744] 406 {O} []	1	[-8064 : -48384 : 1]	0.19854527220415	[-3 : 9 : 1]	[-3, 9], [9, -3], [9, 6], [6, 9]	783
784	[0, 28233, 0, 265870080, 834832051200] 296730 {O} []	1	[-8792 : 8792 : 1]	0.75606399721313	[28 : 14 : 3]	-	784
785	[0, 28269, 0, 266548320, 838027918080] 16659270 {O} []	1	[22486066828492151036178 : 11832912761396830836380857 : 90830073749808744]	38.4901074303803	[11765454560911354383272323 : -11900370961882307289489391 : 140056656504602082657516]	-	785
786	[0, 28305, 0, 267227424, 841231930752] 16701714 {O} []	0	-	-	-	-	786
787	[0, 28341, 0, 267907392, 844444099584] 2790702 {O} []	0	-	-	-	-	787
788	[0, 28377, 0, 268588224, 847664434944] 8393382 {O} []	1	[-490636491817262736 : -746384906546225632 : 55948974095223]	26.4350929779353	[90690571113195322 : 277286797749751730 : 29316296187231471]	-	788
789	[0, 28413, 0, 269269920, 850892947200] 16829370 {O} []	0	-	-	-	-	789
790	[0, 28449, 0, 269952480, 854129646720] 16872030 {O} []	1	[-122489591554635744244846342162659231 : -1861692450743707209383537966593570356986 : 2033727500217982308323678087248107]	60.3220719001559	[-1861324981969043302150803427567082379293 : 1862059919518371116616272505620058334679 : 115089911043086713958181036371978234478]	-	790
791	[0, 28485, 0, 270635904, 857374543872] 469854 {O} []	1	[2768355 : 703619406 : 125]	11.3960756139489	[25752383 : -26367573 : 879190]	-	791
792	[0, 28521, 0, 271320192, 860627649024] 471042 {O} []	0	-	-	-	-	792
793	[0, 28557, 0, 272005344, 863888972544] 17000334 {O} []	1	[-4764 : 328716 : 1]	1.70845030848358	[12 : -11 : 1]	[12, -11], [-11, 12]	793
794	[0, 28593, 0, 272691360, 867158524800] 17043210 {O} []	1	[-29518815 : 62798408 : 3375]	12.5548443047763	[151354853 : 25758037 : 16072110]	-	794
795	[0, 28629, 0, 273378240, 870436316160] 8543070 {O} []	0	-	-	-	-	795
796	[0, 28665, 0, 274065984, 873722356992] 2854854 {O} []	1	[-115933803615 : -13995668070658 : 31255875]	20.2453379807118	[-13647866659813 : 14343469481503 : 1097984309310]	-	796
797	[0, 28701, 0, 274754592, 877016657664] 17172162 {O} []	0	-	-	-	-	797
798	[0, 28737, 0, 275444064, 880319228544] 17215254	1	[-1946822340 : 460937609 : 216000]	15.1563100670825	[6301404629 : 5379529411 : 745113960]	-	798
799	[0, 28773, 0, 276134400, 883630080000] 215730 {O} []	1	[-289103925 : 2182667500 : 35937]	12.1741792012574	[121999171 : -52614229 : 13413906]	-	799
800	[0, 28809, 0, 276825600, 886949222400] 24030 {O} []	0	-	-	-	-	800
801	[0, 28845, 0, 277517664, 890276666112] 1927206 {O} []	1	[-11888738106911655 : -27258030535087142 : 1351064991375]	25.7848573603011	[8408183785647823 : 62924244855822107 : 6683468220488070]	-	801
802	[0, 28881, 0, 278210592, 893612421504] 17388162 {O} []	1	[-874905 : 16920378 : 125]	6.91717669981585	[29749 : -21759 : 3010]	-	802
803	[0, 28917, 0, 278904384, 896956498944] 8715762 {O} []	0	-	-	-	-	803
804	[0, 28953, 0, 279599040, 900308908800] 8737470 {O} []	2	[-9072 : 4032 : 1], [-8757 : 24318 : 1]	2.48619243771475, 4.45771129389025	[62 : 46 : 7], [803 : 31 : 86]	-	804
805	[0, 28989, 0, 280294560, 903669661440] 5839470 {O} []	0	-	-	-	-	805
806	[0, 29025, 0, 280990944, 907038767232] 17561934 {O} []	0	-	-	-	-	806
807	[0, 29061, 0, 281688192, 910416236544] 4401378 {O} []	1	[-2125706751 : 9981392210 : 250047]	15.6913047573045	[16358512463 : -3604271957 : 1792493766]	-	807
808	[0, 29097, 0, 282386304, 913802079744] 4412286 {O} []	1	[-131064 : 9127448 : 27]	8.91588340036457	[1190080 : -1091782 : 98289]	-	808
809	[0, 29133, 0, 283085280, 917196307200] 72810 {O} []	1	[-7452 : 107892 : 1]	2.39140348205964	[67 : -44 : 7]	-	809
810	[0, 29169, 0, 283785120, 920598929280] 24330 {O} []	1	[-7569 : 100440 : 1]	5.66126857013415	[13683 : -8637 : 1442]	-	810
811	[0, 29205, 0, 284485824, 924009956352] 8890182 {O} []	0	-	-	-	-	811
812	[0, 29241, 0, 285187392, 927429398784] 8912106 {O} []	1	[-5283389880661440 : 65993135589415216 : 689635582875]	24.2726710434179	[10230413153924942 : -6267870743428862 : 1083521149400295]	-	812
813	[0, 29277, 0, 285889824, 930857266944] 17868114 {O} []	1	[-8604 : 38196 : 1]	4.53741248804701	[889 : -172 : 97]	-	813
814	[0, 29313, 0, 286593120, 934293571200] 5970690 {O} []	1	[-276633969654 : -1903709225025 : 33386248]	17.4693655302340	[-119311924007 : 303734570443 : 33255690524]	-	814
815	[0, 29349, 0, 287297280, 937738321920] 2244510 {O} []	1	[-1969698 : 2401433 : 216]	10.6380631743802	[8310527 : 3507661 : 872244]	-	815
816	[0, 29385, 0, 288002304, 941191529472] 2250018 {O} []	0	-	-	-	-	816
817	[0, 29421, 0, 288708192, 944653204224] 18044262 {O} []	2	[11452 : 3100220 : 1], [-222560970 : 1667496401 : 27000]	4.58765836216004, 14.4099491398659	[937 : -958 : 39], [2335179311 : -999813491 : 254826180]	-	817
818	[0, 29457, 0, 289414944, 948123356544] 2009826 {O} []	1	[-9009 : 19656 : 1]	1.96091950184945	[19 : 3 : 2]	-	818
819	[0, 29493, 0, 290122560, 951601996800] 1007370 {O} []	2	[-9248 : 3520 : 1], [-70534 : 244475 : 8]	4.56472051176646, 8.69011092803371	[977 : 757 : 111], [456077 : -32873 : 49116]	-	819
820	[0, 29529, 0, 290831040, 955089135360] 9088470 {O} []	1	[-15024806928 : -2831539081888 : 5000211]	17.4388668129324	[-348308082638 : 359576687834 : 25677953883]	-	820
821	[0, 29565, 0, 291540384, 958584782592] 18221274 {O} []	0	-	-	-	-	821
822	[0, 29601, 0, 292250592, 962088948864] 18265662 {O} []	2	[-74070 : 51849 : 8], [-43894 : 2325905 : 8]	2.45884574701008, 9.86227342536025	[37 : 23 : 4], [2457587 : -2194223 : 210684]	-	822
823	[0, 29637, 0, 292961664, 965601644544] 1525842 {O} []	1	[6180 : 2035692 : 1]	3.58470757495888	[272 : -277 : 13]	-	823
824	[0, 29673, 0, 293673600, 969122880000] 917730 {O} []	1	[-1970602200 : -22624435000 : 250047]	11.8282585275398	[-83563142 : 142681208 : 15145893]	-	824
825	[0, 29709, 0, 294386400, 972652665600] 3679830 {O} []	1	[-245391 : 534716 : 27]	9.36813595698680	[1270889 : 201457 : 133398]	-	825
826	[0, 29745, 0, 295100064, 976191011712] 18443754 {O} []	0	-	-	-	-	826
827	[0, 29781, 0, 295814592, 979737928704] 1027134 {O} []	1	[-9252 : 11556 : 1]	3.48417771170829	[182 : 75 : 19]	-	827
828	[0, 29817, 0, 296529984, 983293426944] 1029618 {O} []	1	[-1774722 : 15463511 : 216]	11.2670078838965	[20787677 : -10139345 : 2244276]	-	828
829	[0, 29853, 0, 297246240, 986857516800] 18577890 {O} []	1	[-9372 : 1332 : 1]	4.14045183237264	[409 : 372 : 49]	-	829
830	[0, 29889, 0, 297963360, 990430208640] 18622710 {O} []	1	[268869 : 75931856 : 27]	12.1167831003819	[75125249 : -76738463 : 3228678]	-	830
831	[0, 29925, 0, 298681344, 994011512832] 583362 {O} []	1	[-8892 : 34164 : 1]	2.78894051405372	[65 : -8 : 7]	-	831
832	[0, 29961, 0, 299400192, 997601439744] 27846 Z/2Z [[-9408, 0]]	0	-	-	-	[8, 8]	832
833	[0, 29997, 0, 300119904, 1001199999744] 2679642 {O} []	0	-	-	-	-	833
834	[0, 30033, 0, 300840480, 1004807203200] 18802530 {O} []	0	-	-	-	-	834
835	[0, 30069, 0, 301561920, 1008423060480] 9423810 {O} []	0	-	-	-	-	835
836	[0, 30105, 0, 302284224, 1012047581952] 116622 {O} []	0	-	-	-	-	836
837	[0, 30141, 0, 303007392, 1015680777984] 25978 {O} []	0	-	-	-	-	837
838	[0, 30177, 0, 303731424, 1019322658944] 18983214 {O} []	0	-	-	-	-	838
839	[0, 30213, 0, 304456320, 1022973235200] 4757130 {O} []	1	[-7532 : 128548 : 1]	5.31540576810251	[2699 : -1892 : 273]	-	839
840	[0, 30249, 0, 305182080, 1026632517120] 164430 {O} []	2	[-6728 : 195112 : 1], [-9368 : 13832 : 1]	1.33967874952137, 5.25472744259325	[32 : -26 : 3], [5242 : 1784 : 543]	-	840
841	[0, 30285, 0, 305908704, 1030300515072] 219762 {O} []	1	[146508 : 61972884 : 1]	3.21774886243188	[2030 : -2059 : 31]	-	841
842	[0, 30321, 0, 306636192, 1033977239424] 19164762 {O} []	1	[-295153859462833905466468401769932870585242792672548555053209548752449010639703062365414336321479436071231306563129 : 245965313978981039879668493946060263550072797745075854049750574317122545813216455257734039278790434261901293419020 : 31151621940825380751044570937311715522749721539360595422347458675686033838262356383084351928468302031809130873]	175.118561037274	[1131426892367482756279073699255858875305801175762721519209379220574469577732325642353977048243228742475595213108407 : 639496264409520676519736711363738348205655580272569811109878071940224486105892731838508969685647873951792626270367 : 119855688543333877266590866991474661857360342517739369435544059264745446008953608835201806721435443695299168088834]	-	842
843	[0, 30357, 0, 307364544, 1037662700544] 9605142 {O} []	0	-	-	-	-	843
844	[0, 30393, 0, 308093760, 1041356908800] 740610 {O} []	0	-	-	-	-	844
845	[0, 30429, 0, 308823840, 1045059874560] 164970 {O} []	1	[-72774 : 256581 : 8]	5.23779297626284	[17589 : -1417 : 1876]	-	845
846	[0, 30465, 0, 309554784, 1048771608192] 195426 {O} []	1	[-8376673305 : -183381730048 : 1157625]	13.8295660875882	[-1307865373 : 1723237603 : 168070770]	-	846
847	[0, 30501, 0, 310286592, 1052492120064] 220374 {O} []	0	-	-	-	-	847
848	[0, 30537, 0, 311019264, 1056221420544] 2429838 {O} []	2	[-9056 : 36224 : 1], [-240504 : 1200968 : 27]	1.53553198058289, 7.75458837656666	[28 : -4 : 3], [240310 : -59932 : 25929]	-	848
849	[0, 30573, 0, 311752800, 1059959520000] 3896910 {O} []	0	-	-	-	-	849
850	[0, 30609, 0, 312487200, 1063706428800] 1302030 {O} []	1	[-3405 : 561330 : 1]	6.43165930488537	[63505 : -61235 : 4538]	-	850
851	[0, 30645, 0, 313222464, 1067462157312] 9788202 {O} []	1	[-394089529347360 : -635086677249856 : 41601569625]	21.0021281111836	[17099434712257 : 56792352040373 : 5858422218495]	-	851
852	[0, 30681, 0, 313958592, 1071226715904] 9811206 {O} []	1	[42425539 : -11154177100 : 2197]	15.4370508638005	[-11281453717 : 11026900483 : 389484186]	-	852
853	[0, 30717, 0, 314695584, 1075000114944] 19668474 {O} []	2	[-8540 : 70028 : 1], [-4844 : 397124 : 1]	2.25321906978903, 5.98542767015612	[28 : -13 : 3], [7351 : -6832 : 579]	-	853
854	[0, 30753, 0, 315433440, 1078782364800] 2190510 {O} []	0	-	-	-	-	854
855	[0, 30789, 0, 316172160, 1082573475840] 548910 {O} []	0	-	-	-	-	855
856	[0, 30825, 0, 316911744, 1086373458432] 4951746 {O} []	0	-	-	-	-	856
857	[0, 30861, 0, 317652192, 1090182322944] 19853262 {O} []	1	[-9308 : 28340 : 1]	4.19587905480574	<[541 : -4 : 57]/td>	-	857
858	[0, 30897, 0, 318393504, 1094000079744] 19899594 {O} []	1	[-1193305 : 1970738 : 125]	10.3562332096851	[5550653 : 1609177 : 571170]	-	858
859	[0, 30933, 0, 319135680, 1097826739200] 3324330 {O} []	1	[-9632 : 11008 : 1]	2.14920802313825	[29 : 13 : 3]	-	859
860	[0, 30969, 0, 319878720, 1101662311680] 9996210 {O} []	1	[50518563063072 : -13922622814380112 : 1446731091]	23.0576444777816	[-1759272312946166 : 1721383390648862 : 49099641521463]	-	860
861	[0, 31005, 0, 320622624, 1105506807552] 20038914 {O} []	0	-	-	-	-	861
862	[0, 31041, 0, 321367392, 1109360237184] 20085462 {O} []	1	[-221655837833054279021154837161624021719206618 : 24424583877482574269391501112725312252596465 : 22728906831691955721487887357284871174456]	68.9674569263964	[689392097376645411332856012597597377410216319 : 640542929621680262794073010372146752905023389 : 82348327895685686583442345862508624980758308]	-	862
863	[0, 31077, 0, 322113024, 1113222610944] 15534 {O} []	1	[-8964 : 51516 : 1]	2.85060253748168	[121 : -38 : 13]	-	863
864	[0, 31113, 0, 322859520, 1117093939200] 1730 {O} []	0	-	-	-	-	864
865	[0, 31149, 0, 323606880, 1120974232320] 20225430 {O} []	1	[-597139908 : -4910983812 : 68921]	8.21732540178251	[-100063 : 214986 : 22919]	-	865
866	[0, 31185, 0, 324355104, 1124863500672] 1192482 {O} []	1	[-6235696156608615276775806133154415 : -186352387333792815204540046126187272 : 902386793433962305526362113375]	50.0082640803183	[-580087539321685015135683832964443 : 709548359182071491470129635036853 : 65454727521349381659248414416590]	-	866
867	[0, 31221, 0, 325104192, 1128761754624] 597618 {O} []	2	[-9792 : 4896 : 1], [-9765 : 7812 : 1]	1.72843712311167, 2.00568592423074	[119 : 85 : 13], [19 : 11 : 2]	[10, -7], [-7, 10], [17, -17], [-17, 17]	867
868	[0, 31257, 0, 325854144, 1132669004544] 3394314 {O} []	1	[-9417 : 29484 : 1]	5.66196249074777	[6415 : -137 : 674]	-	868
869	[0, 31293, 0, 326604960, 1136585260800] 20412810	1	[-259971 : 499330 : 27]	9.37414982811726	[1279243 : 280583 : 131454]	-	869
870	[0, 31329, 0, 327356640, 1140510533760] 20459790 {O} []	1	[6481277 : 2522903068 : 1331]			-	870
871	[0, 31365, 0, 328109184, 1144444833792] 5126706 {O} []	0	-	-	-	-	871
872	[0, 31401, 0, 328862592, 1148388171264] 570942 {O} []	0	-	-	-	-	872
873	[0, 31437, 0, 329616864, 1152340556544] 2289006 {O} []	0	-	-	-	-	873
874	[0, 31473, 0, 330372000, 1156302000000] 825930	0	-	-	-	-	874
875	[0, 31509, 0, 331128000, 1160272512000] 413910 {O} []	0	-	-	-	-	875
876	[0, 31545, 0, 331884864, 1164252102912] 10371402 {O} []	0	-	-	-	-	876
877	[0, 31581, 0, 332642592, 1168240783104] 6930054 {O} []	1	[-217531524 : 101094237 : 21952]	8.00193119703412	[190759 : 139585 : 20888]	-	877
878	[0, 31617, 0, 333401184, 1172238562944] 20837574 {O} []	1	[-42176811017788237519747530125939627651583 : 58161769537502729767171988674946656416600026 : 59615206696441857388190364539931950379]	67.2229256492449	[58288299970556094479731231265324475299554775 : -58035239104449365054612746084568837533645277 : 3519866335297682845265306610247575509676654]	-	878
879	[0, 31653, 0, 334160640, 1176245452800] 2610630 {O} []	1	[-180418056056960 : -205393054856192 : 18295397875]	19.3855453761469	[2623914947771 : 5833181429899 : 599125570455]	-	879
880	[0, 31689, 0, 334920960, 1180261463040] 2616570 {O} []	2	[-268728 : 83080 : 27], [-249576 : 1270504 : 27]	7.32810194605968, 7.78789879417313	[111158 : 90388 : 12537], [252404 : -65222 : 26901]	-	880
881	[0, 31725, 0, 335682144, 1184286604032] 333018 {O} []	0	-	-	-	-	881
882	[0, 31761, 0, 336444192, 1188320886144] 333774 {O} []	1	[-1228345 : 1972846 : 125]	10.3699814313820	[5657881 : 1712189 : 576930]	-	882
883	[0, 31797, 0, 337207104, 1192364319744] 10537722 {O} []	2	[-9984 : 3744 : 1], [-9152 : 54496 : 1]	1.44124327304895, 3.42740662813933	[9 : 7 : 1], [197 : -65 : 21]	[9, 7], [7, 9]	883
884	[0, 31833, 0, 337970880, 1196416915200] 10561590 {O} []	0	-	-	-	-	884
885	[0, 31869, 0, 338735520, 1200478682880] 21170970 {O} []	1	[-269763 : 160930 : 27]	9.25315478174541	[970219 : 648359 : 103806]	-	885
886	[0, 31905, 0, 339501024, 1204549633152] 7072938 {O} []	1	[230516882049121564076907538885625648216231117365425635292900 : 73560655240545491802616158440146193291504378517374747579100771 : 3581587179959105422337349289974233834751197540329000000]	93.3264256744673	[8096567177155347456709492869276590705206187240586496741469119 : -8250245098521428499427431228533674470683674652163447164997719 : 179092863995070854794844189818740928768881909323125007528600]	-	886
887	[0, 31941, 0, 340267392, 1208629776384] 5316678 {O} []	1	[-295783772 : -387752156 : 29791]	10.1966760114614	[1687835 : 4307782 : 439239]	-	887
888	[0, 31977, 0, 341034624, 1212719122944] 5328666 {O} []	0	-	-	-	-	888
889	[0, 32013, 0, 341802720, 1216817683200] 21362670 {O} []	1	[2604750874095398595 : -2033042256915891487372 : 1462328617262625]	32.7424715925077	[-2040856509538177683157 : 2025228004293605291587 : 109334523038761401570]	-	889
890	[0, 32049, 0, 342571680, 1220925467520] 88110 {O} []	1	[-266271 : 519506 : 27]	9.39399980103161	[1318319 : 279307 : 134478]	-	890
891	[0, 32085, 0, 343341504, 1225042486272] 14718 {O} []	0	-	-	-	-	891
892	[0, 32121, 0, 344112192, 1229168749824] 10753506 {O} []	1	[-9120 : 62928 : 1]	2.47242277248413	[66 : -26 : 7]	-	892
893	[0, 32157, 0, 344883744, 1233304268544] 21555234 {O} []	1	[-9391183378347440988087 : 36311892794358173613496 : 980718273168540291]	35.0199195653729	[64485442929400496577757 : -8138342659315850649235 : 6779773537227955522566]	-	893
894	[0, 32193, 0, 345656160, 1237449052800] 21603510 {O} []	1	[-6570998162889636045570 : -11155450567758357695437 : 660480485167503000]	34.5252744043745	[8557543920910550441273 : 30868445056427265832147 : 3135373486856077046580]	-	894
895	[0, 32229, 0, 346429440, 1241603112960] 112770 {O} []	0	-	-	-	-	895
896	[0, 32265, 0, 347203584, 1245766459392] 339066 {O} []	0	-	-	-	-	896
897	[0, 32301, 0, 347978592, 1249939102464] 21748662	0	-	-	-	-	897
898	[0, 32337, 0, 348754464, 1254121052544] 21797154 {O} []	2	[-80662 : 89497 : 8], [-17562802242017 : -45907171429382 : 1784770597]	6.20670146443223, 19.1902921125611	[10693: 4919 : 1092], [218749525699 : 3180502521143 : 327348959694]	-	898
899	[0, 32373, 0, 349531200, 1258312320000] 242730 {O} []	1	[-7200 : 216000 : 1]	1.26688977067183	[11 : -9 : 1]	[11, -9], [-9, 11]	899
900	[0, 32409, 0, 350308800, 1262512915200] 243270 {O} []	0	-	-	-	-	900
901	[0, 32445, 0, 351087264, 1266722848512] 21942954 {O} []	2	[-10092 : 12996 : 1], [-3163383132 : 31521824604 : 357911]	4.27940417275911, 13.4774329256280	[601 : 240 : 61], [569610750 : -305995489 : 59220461]	-	901
902	[0, 32481, 0, 351866592, 1270942130304] 21991662 {O} []	0	-	-	-	-	902
903	[0, 32517, 0, 352646784, 1275170770944] 5510106 {O} []	1	[-275739 : 110422 : 27]	9.25576985213173	[937639 : 716795 : 102942]	-	903
904	[0, 32553, 0, 353427840, 1279408780800] 1840770 {O} []	0	-	-	-	-	904
905	[0, 32589, 0, 354209760, 1283656170240] 22138110 {O} []	0	-	-	-	-	905
906	[0, 32625, 0, 354992544, 1287912949632] 22187034 {O} []	1	[-3490244091125702925 : -1056025228399127846 : 340433925890625]	9.25576985213173	[937639 : 716795 : 102942]	-	906
907	[0, 32661, 0, 355776192, 1292179129344] 11118006 {O} []	0	-	-	-	-	907
908	[0, 32697, 0, 356560704, 1296454719744] 1238058 {O} []	0	-	-	-	-	908
909	[0, 32733, 0, 357346080, 1300739731200] 2481570 {O} []	1	[-8372 : 128492 : 1]	3.61412996666781	[211 : -142 : 21]	-	909
910	[0, 32769, 0, 358132320, 1305034174080] 22383270 {O} []	0	-	-	-	-	910
911	[0, 32805, 0, 358919424, 1309338058752] 2804058 {O} []	1	[530404 : -478543652 : 343]	10.0086499295132	[-3158782 : 3137845 : 169113]	-	911
912	[0, 32841, 0, 359707392, 1313651395584] 2810214 {O} []	1	[-221856 : 3868480 : 27]	8.18665835234329	[566756 : -400364 : 55467]	-	912
913	[0, 32877, 0, 360496224, 1317974194944] 7510338 {O} []	2	[-9597 : 49356 : 1], [-3657 : 624834 : 1]	1.79534731109766, 7.30649610890286	[19 : -5 : 2], [70645 : -68207 : 4874]	-	913
914	[0, 32913, 0, 361285920, 1322306467200] 22580370 {O} []	0	-	-	-	-	914
915	[0, 32949, 0, 362076480, 1326648222720] 11314890 {O} []	1	[-79942 : 227125 : 8]	8.70181357893483	[466951 : 12701 : 47964]	-	915
916	[0, 32985, 0, 362867904, 1330999471872] 11339622 {O} []	0	-	-	-	-	916
917	[0, 33021, 0, 363660192, 1335360225024] 280602 {O} []	0	-	-	-	-	917
918	[0, 33057, 0, 364453344, 1339730492544] 31246 {O} []	2	[-10109 : -23894 : 1], [8271 : 2679804 : 1]	2.71624693732374, 3.14339644482121	[7 : 59 : 6], [321 : -327 : 14]	-	918
919	[0, 33093, 0, 365247360, 1344110284800] 5706990 {O} []	1	[133505178036 : -37090142361036 : 4330747]	17.9886246947941	[-520703581877 : 509578150374 : 15109718743]	-	919
920	[0, 33129, 0, 366042240, 1348499612160] 5719410 {O} []	1	[-149208 : 11087560 : 27]	9.04233794103944	[1441898 : -1329992 : 111897]	-	920
921	[0, 33165, 0, 366837984, 1352898484992] 22927374 {O} []	0	-	-	-	-	921
922	[0, 33201, 0, 367634592, 1357306913664] 7659054 {O} []	0	-	-	-	-	922
923	[0, 33237, 0, 368432064, 1361724908544] 11513502 {O} []	2	[-10304 : 15904 : 1], [-9716 : 49364 : 1]	3.45186797625053, 4.84546869624646	[209 : 67 : 21], [1402 : -361 : 147]	-	923
924	[0, 33273, 0, 369230400, 1366152480000] 2307690 {O} []	2	[-10400 : 10000 : 1], [-10025 : 32500 : 1]	2.96791667411157, 4.95009623405376	[206 : 106 : 21], [2503 : -97 : 258]	-	924
925	[0, 33309, 0, 370029600, 1370589638400] 4625370 {O} []	0	-	-	-	-	925
926	[0, 33345, 0, 370829664, 1375036394112] 2575206 {O} []	0	-	-	-	-	926
927	[0, 33381, 0, 371630592, 1379492757504] 161298 {O} []	1	[-1960418716 : -107872501555 : 314432]	17.0228209859137	[-101991245407 : 113753757703 : 9246576216]	-	927
928	[0, 33417, 0, 372432384, 1383958738944] 1454814 {O} []	0	-	-	-	-	928
929	[0, 33453, 0, 373235040, 1388434348800] 23327190 {O} []	1	[-4780305239017 : -69993052728848 : 553387661]	19.1331950700514	[-1795230226187 : 2720450595029 : 270096978918]	-	929
930	[0, 33489, 0, 374038560, 1392919597440] 3339630 {O} []	0	-	-	-	-	930
931	[0, 33525, 0, 374842944, 1397414495232] 557802 {O} []	1	[-1065120 : 17164224 : 125]	6.21929030798833	[70693 : -48503 : 6935]	-	931
932	[0, 33561, 0, 375648192, 1401919052544] 11739006 {O} []	1	[-54424125564676940151739147246977107501040 : 115275980993051133838295218980728724222208 : 5278784270995689642702426094486214625]	61.8858545179783	[34818544710885244286689082590207505840666 : 5999549462622460827115277845025324785114 : 3507857350043100815967911480167913580345]	-	932
933	[0, 33597, 0, 376454304, 1406433279744] 23528394 {O} []	1	[21403870142284417589692 : 9721751198273152562835269 : 125573875989943744]	38.3599723443579	[9657539587846299310066193 : -9785962808700005815604345 : 136867812866278242434664]	-	933
934	[0, 33633, 0, 377261280, 1410957187200] 23578830 {O} []	1	[-34735215 : 81693928 : 3375]	12.6917263452103	[185899573 : 22511717 : 18793710]	-	934
935	[0, 33669, 0, 378069120, 1415490785280] 656370 {O} []	0	-	-	-	-	935
936	[0, 33705, 0, 378877824, 1420034084352] 657774 {O} []	1	[-34241160 : 113748904 : 3375]	10.9489648973817	[27059048 : -1378178 : 2780505]	-	936
937	[0, 33741, 0, 379687392, 1424587094784] 23730462 {O} []	3	[-10452 : 16884 : 1], [-10605 : 4032 : 1], [-10220 : 30212 : 1]	1.53934734200090, 4.32083672657080, 4.66054066924573	[10 : 3 : 1], [569 : 441 : 62], [1087 : 8 : 111]	[10, 3], [3, 10], [-12, 13], [13, -12]	937
938	[0, 33777, 0, 380497824, 1429149826944] 23781114 {O} []	1	[-3341331154497 : 299005774979374 : 638277381]	22.2920071317159	[309029768442865 : -288981781515883 : 23104670247666]	-	938
939	[0, 33813, 0, 381309120, 1433722291200] 11915910 {O} []	0	-	-	-	-	939
940	[0, 33849, 0, 382121280, 1438304497920] 3980430 {O} []	0	-	-	-	-	940
941	[0, 33885, 0, 382934304, 1442896457472] 23933394 {O} []	1	[-38468136041341382771 : 74934155336333462128 : 3684159557072623]	27.7589776348241	[1212347537964061213 : 257772310749622205 : 121437079941689718]	-	941
942	[0, 33921, 0, 383748192, 1447498180224] 23984262 {O} []	0	-	-	-	-	942
943	[0, 33957, 0, 384562944, 1452109676544] 3004398 {O} []	1	[-288384 : 69632 : 27]	5.81363653017706	[7303 : 6215 : 819]	-	943
944	[0, 33993, 0, 385378560, 1456730956800] 37170 {O} []	1	[-10584 : 13608 : 1]	0.66295237127196	[10 : 4 : 1]	[10, 4], [4, 10]	944
945	[0, 34029, 0, 386195040, 1461362031360] 33110 {O} []	0	-	-	-	-	945
946	[0, 34065, 0, 387012384, 1466002910592] 24188274 {O} []	1	[-1211973236671625760056321067158702811831800670 : 16546798038937986636300844717709067423459883937 : 136071974438860956898282644784387868073000]	71.1247340973379	[20182717748952863916469807919185175858955285947 : -12910878328923109356131881516232958987964481927 : 2006092085109540924814577449026485525698627980]	-	946
947	[0, 34101, 0, 387830592, 1470653604864] 12119706 {O} []	1	[-10112 : 42976 : 1]	2.13826896115197	[29 : -5 : 3]	-	947
948	[0, 34137, 0, 388649664, 1475314124544] 12145302 {O} []	1	[-10512 : 21024 : 1]	1.18766625307705	[10 : 2 : 1]	[10, 2], [2, 10]	948
949	[0, 34173, 0, 389469600, 1479984480000] 1622790 {O} []	0	-	-	-	-	949
950	[0, 34209, 0, 390290400, 1484664681600] 4878630 {O} []	0	-	-	-	-	950
951	[0, 34245, 0, 391112064, 1489354739712] 6111126 {O} []	0	-	-	-	-	951
952	[0, 34281, 0, 391934592, 1494054664704] 6123978 {O} []	0	-	-	-	-	952
953	[0, 34317, 0, 392757984, 1498764466944] 2727486 {O} []	0	-	-	-	-	953
954	[0, 34353, 0, 393582240, 1503484156800] 2733210 {O} []	0	-	-	-	-	954
955	[0, 34389, 0, 394407360, 1508213744640] 12325230 {O} []	0	-	-	-	-	955
956	[0, 34425, 0, 395233344, 1512953240832] 12351042 {O} []	1	[-23162620769493855447019339316806129401489025900968928516999045720545 : 30441807024008417723519626217612411556409816417635335584607652529678 : 2161312577623164577351351544154905016674276530282813609319896125]	104.396309554915	[99929669332489984064577644168030799760876894120542121135604789691313 : 39046055284473148617538391732805976648057261285271449966389484631957 : 9947357231583399355701490897612798859990194636793417834583848273730]	-	956
957	[0, 34461, 0, 396060192, 1517702655744] 24753762 {O} []	1	[-10733 : 13780 : 1]	7.17138522911519	[45979 : 18419 : 4578]	-	957
958	[0, 34497, 0, 396887904, 1522461999744] 8268498 {O} []	0	-	-	-	-	958
959	[0, 34533, 0, 397716480, 1527231283200] 776790 {O} []	1	[741070336512 : -347730438348800 : 176558481]	17.8439476141850	[-683503221403 : 674818803397 : 32519812941]	-	959
960	[0, 34569, 0, 398545920, 1532010516480] 25110 {O} []	1	[-7688 : 238328 : 1]	1.25256881892288	[34 : -28 : 3]	-	960
961	[0, 34605, 0, 399376224, 1536799709952] 805194 {O} []	0	-	-	-	-	961
962	[0, 34641, 0, 400207392, 1541598873984] 2779218 {O} []	1	[-675080323215 : -15991588787966 : 82312875]	20.3987289861546	[-13966347818321 : 18016829757611 : 1656763561710]	-	962
963	[0, 34677, 0, 401039424, 1546408018944] 1392498 {O} []	0	-	-	-	-	963
964	[0, 34713, 0, 401872320, 1551227155200] 12558510 {O} []	1	[-9264 : 111168 : 1]	1.22973073618441	[10 : -6 : 1]	[10, -6], [-6, 10]	964
965	[0, 34749, 0, 402706080, 1556056293120] 25169130 {O} []	0	-	-	-	-	965
966	[0, 34785, 0, 403540704, 1560895443072] 25221294 {O} []	1	[-283716146686335 : 3605635256000408 : 30811485375]	24.0645790432485	[4456783696059413 : -2754486815941403 : 442921977630990]	-	966
967	[0, 34821, 0, 404376192, 1565744615424] 191466 {O} []	0	-	-	-	-	967
968	[0, 34857, 0, 405212544, 1570603820544] 575586 {O} []	0	-	-	-	-	968
969	[0, 34893, 0, 406049760, 1575473068800] 25378110 {O} []	1	[-357624201 : -2459777950 : 35937]	14.6823231092836	[-1386905347 : 3532650553 : 364094874]	-	969
970	[0, 34929, 0, 406887840, 1580352370560] 25430490 {O} []	0	-	-	-	-	970
971	[0, 34965, 0, 407726784, 1585241736192] 17478 {O} []	1	[-10692 : 26244 : 1]	0.98375246257878	[10 : 1 : 1]	[10, 1], [1, 10]	971
972	[0, 35001, 0, 408566592, 1590141176064] 5838 {O} []	1	[0 : 1261008 : 1]	0.33631137482567	[18 : -18 : 1]	[18, -18], [-18, 18]	972
973	[0, 35037, 0, 409407264, 1595050700544] 25587954 {O} []	1	[1948 : 1591516 : 1]	4.04063693567416	[407 : -410 : 21]	-	973
974	[0, 35073, 0, 410248800, 1599970320000] 5128110 {O} []	0	-	-	-	-	974
975	[0, 35109, 0, 411091200, 1604900044800] 642330 {O} []	2	[-10980 : 10980 : 1], [-10880 : 17920 : 1]	0.75892465177180, 2.95394670671225	[10 : 5 : 1], [395 : 115 : 39]	[10, 5], [5, 10]	975
976	[0, 35145, 0, 411934464, 1609839885312] 1072746 {O} []	1	[-473643240 : 228139416 : 42875]	10.6725624052557	[22903738 : 16566532 : 2418605]	-	976
977	[0, 35181, 0, 412778592, 1614789851904] 25798662 {O} []	1	[-15683504868983470340 : -52861107412707989732 : 1480179838907125]	25.9207673436535	[-4455976078034953 : 76619342039615338 : 7766345339404365]	-	977
978	[0, 35217, 0, 413623584, 1619749954944] 25851474 {O} []	2	[-228148004 : 1055182463 : 21952], [-240861629210995 : -209403734563412 : 21834609875]	14.1962726691307, 23.0166733067556	[1739626475 : -370738451 : 178464552], [513181153069573 : 931988622196397 : 93908205603030]	-	978
979	[0, 35253, 0, 414469440, 1624720204800] 1850310 {O} []	0	-	-	-	-	979
980	[0, 35289, 0, 415316160, 1629700611840] 206010 {O} []	1	[-11088 : 6048 : 1]	2.21942706499029	[182 : 126 : 19]	-	980
981	[0, 35325, 0, 416163744, 1634691186432] 2890026 {O} []	1	[-4467198510 : 310036462541 : 729000]	17.7180378045070	[323438058071 : -296634867011 : 24740024940]	-	981
982	[0, 35361, 0, 417012192, 1639691938944] 26063262 {O} []	0	-	-	-	-	982
983	[0, 35397, 0, 417861504, 1644702879744] 6529086	0	-	-	-	-	983
984	[0, 35433, 0, 418711680, 1649724019200] 6542370 {O} []	1	[-99887928 : 274403800 : 9261]	11.5958893590590	[71758448 : 3157498 : 7182819]	-	984
985	[0, 35469, 0, 419562720, 1654755367680] 8740890 {O} []	1	[-282497094162755334 : -767301864660459271 : 26150469002568]	27.9491505711965	[80189417827806731 : 1614793147148725273 : 161491530453775452]	-	985
986	[0, 35505, 0, 420414624, 1659796935552] 26275914 {O} []	1	[-9004497050337821732567943038649543235451835 : 227966463601130978932585321202770365843889592 : 1083923891456526427164004233489134572875]	68.2172125885448	[254979954752144444130289150318718995550245097 : -200952972450117513734881492086821736137534087 : 23000985120439663624575138616774599874077990]	-	986
987	[0, 35541, 0, 421267392, 1664848733184] 13164606 {O} []	0	-	-	-	-	987
988	[0, 35577, 0, 422121024, 1669910770944] 13191282 {O} []	1	[-2182962 : 15780619 : 216]	11.3079746475389	[22329505 : -9231733 : 2283156]	-	988
989	[0, 35613, 0, 422975520, 1674983059200] 2937330 {O} []	0	-	-	-	-	989
990	[0, 35649, 0, 423830880, 1680065608320] 2943270 {O} []	0	-	-	-	-	990
991	[0, 35685, 0, 424687104, 1685158428672] 1658934 {O} []	0	-	-	-	-	991
992	[0, 35721, 0, 425544192, 1690261530624] 1662282 {O} []	0	-	-	-	-	992
993	[0, 35757, 0, 426402144, 1695374924544] 26650134 {O} []	1	[-87318 : 226737 : 8]	5.96918530147182	[7757 : 559 : 772]	-	993
994	[0, 35793, 0, 427260960, 1700498620800] 8901270 {O} []	1	[17244285 : 7509930922 : 3375]	15.1858957563489	[7458198067 : -7561663777 : 345250710]	-	994
995	[0, 35829, 0, 428120640, 1705632629760] 13378770 {O} []	1	[-1293378122929260056736 : 678161745647265112640 : 114840155513866509]	30.8937875653666	[142446753576095165089 : 100061644473141095549 : 14848390457338586031]	-	995
996	[0, 35865, 0, 428981184, 1710776961792] 13405662 {O} []	1	[-1355920 : 4275136 : 125]	4.28948344499685	[1046 : -26 : 105]	-	996
997	[0, 35901, 0, 429842592, 1715931627264] 26865162 {O} []	1	[-4895190 : 6850646749 : 5832]	10.9968528848720	[13758181 : -13699321 : 780948]	-	997
998	[0, 35937, 0, 430704864, 1721096636544] 332334 {O} []	1	[-11265390 : 9381609 : 1000]	7.15686061065140	[43221 : 24439 : 4340]	-	998
999	[0, 35973, 0, 431568000, 1726272000000] 370 {O} []	0	-	-	-	-	999
1000	[0, 36009, 0, 432432000, 1731457728000] 270270 Z/3Z [[-10920, 32760]]	0	-	-	-	[10, 0], [0, 10]	1000

[参考文献]

[1]Joseph H.Silverman, John Tate(著), 足立恒雄, 木田雅成, 小松啓一, 田谷久雄(訳), "楕円曲線論入門", シュプリンガー・フェアラーク東京, 1995, ISBN4-431-70683-6, {3900円}.
[2]Joseph H. Silverman, "The Arithmetic of Elliptic Curves", GTM 106, Springer-Verlag New York Inc., 1986, ISBN0-387-96203-4.
[3]長尾孝一, "rankの高い楕円曲線の構成法について", p1-2.

Last Update: 2021.07.22

H.Nakao

Rational Points on Elliptic Curves: u^3+v^3-3uv=n, y^2=x^3+9(4n+1)x^2+432n(n+1)x+1728(n+1)2 (n \in [1..1000])

[2021.07.16]u^3+v^3-3uv=n, y^2=x^3+9(4n+1)x^2+432n(n+1)x+1728(n+1)2 (n \in [1..1000])の有理点

u^3+v^3-3uv=nの有理点を計算するプログラム(pari/gp) x^3+y^3-3xy=842のグラフ(png)

[参考文献]

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Rational Points on Elliptic Curves: u^3+v^3-3uv=n, y^2=x^3+9(4n+1)x^2+432n(n+1)x+1728(n+1)² (n \in [1..1000])

[2021.07.16]u^3+v^3-3uv=n, y^2=x^3+9(4n+1)x^2+432n(n+1)x+1728(n+1)² (n \in [1..1000])の有理点

u^3+v^3-3uv=nの有理点を計算するプログラム(pari/gp)
x^3+y^3-3xy=842のグラフ(png)