LMFDB - Embedded newform 700.2.t.c.299.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [700,2,Mod(199,700)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(700, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 1]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("700.199");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 700 = 2^{2} \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	700.t (of order $6$, degree $2$, not minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$5.58952814149$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$16$ over $\Q(\zeta_{6})$
Twist minimal:	no (minimal twist has level 140)
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			299.4
Character	$\chi$	$=$	700.299
Dual form			700.2.t.c.199.4

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.08542 + 0.906567i) q^{2} +(0.703249 - 0.406021i) q^{3} +(0.356272 - 1.96801i) q^{4} +(-0.395235 + 1.07825i) q^{6} +(2.62428 - 0.336411i) q^{7} +(1.39743 + 2.45910i) q^{8} +(-1.17029 + 2.02701i) q^{9} +O(q^{10})$	\(q+(-1.08542 + 0.906567i) q^{2} +(0.703249 - 0.406021i) q^{3} +(0.356272 - 1.96801i) q^{4} +(-0.395235 + 1.07825i) q^{6} +(2.62428 - 0.336411i) q^{7} +(1.39743 + 2.45910i) q^{8} +(-1.17029 + 2.02701i) q^{9} +(-4.20925 + 2.43021i) q^{11} +(-0.548506 - 1.52866i) q^{12} +0.895933 q^{13} +(-2.54346 + 2.74423i) q^{14} +(-3.74614 - 1.40230i) q^{16} +(2.94582 + 5.10231i) q^{17} +(-0.567359 - 3.26111i) q^{18} +(-1.45818 + 2.52565i) q^{19} +(1.70893 - 1.30209i) q^{21} +(2.36566 - 6.45377i) q^{22} +(0.780755 - 1.35231i) q^{23} +(1.98119 + 1.16198i) q^{24} +(-0.972464 + 0.812224i) q^{26} +4.33678i q^{27} +(0.272896 - 5.28446i) q^{28} +9.73084 q^{29} +(-2.20757 - 3.82363i) q^{31} +(5.33741 - 1.87405i) q^{32} +(-1.97344 + 3.41809i) q^{33} +(-7.82304 - 2.86757i) q^{34} +(3.57223 + 3.02532i) q^{36} +(1.57735 + 0.910682i) q^{37} +(-0.706927 - 4.06333i) q^{38} +(0.630064 - 0.363768i) q^{39} +10.4920i q^{41} +(-0.674472 + 2.96258i) q^{42} +3.04581 q^{43} +(3.28305 + 9.14968i) q^{44} +(0.378510 + 2.17563i) q^{46} +(4.52006 + 2.60966i) q^{47} +(-3.20383 + 0.534848i) q^{48} +(6.77366 - 1.76567i) q^{49} +(4.14329 + 2.39213i) q^{51} +(0.319196 - 1.76321i) q^{52} +(-0.155645 + 0.0898619i) q^{53} +(-3.93158 - 4.70723i) q^{54} +(4.49451 + 5.98326i) q^{56} +2.36821i q^{57} +(-10.5620 + 8.82166i) q^{58} +(-5.68287 - 9.84302i) q^{59} +(-5.33107 - 3.07789i) q^{61} +(5.86252 + 2.14893i) q^{62} +(-2.38927 + 5.71313i) q^{63} +(-4.09438 + 6.87285i) q^{64} +(-0.956722 - 5.49911i) q^{66} +(-3.89952 - 6.75417i) q^{67} +(11.0909 - 3.97960i) q^{68} -1.26801i q^{69} +8.38078i q^{71} +(-6.62003 - 0.0452719i) q^{72} +(4.39048 + 7.60453i) q^{73} +(-2.53768 + 0.441499i) q^{74} +(4.45099 + 3.76954i) q^{76} +(-10.2287 + 7.79359i) q^{77} +(-0.354104 + 0.966036i) q^{78} +(3.14686 + 1.81684i) q^{79} +(-1.75006 - 3.03119i) q^{81} +(-9.51172 - 11.3882i) q^{82} -2.03796i q^{83} +(-1.95369 - 3.82709i) q^{84} +(-3.30598 + 2.76123i) q^{86} +(6.84320 - 3.95092i) q^{87} +(-11.8583 - 6.95494i) q^{88} +(-1.52812 - 0.882262i) q^{89} +(2.35118 - 0.301402i) q^{91} +(-2.38320 - 2.01832i) q^{92} +(-3.10495 - 1.79264i) q^{93} +(-7.27200 + 1.26516i) q^{94} +(2.99262 - 3.48502i) q^{96} +7.83641 q^{97} +(-5.75156 + 8.05727i) q^{98} -11.3763i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q + 2 q^{4} + 16 q^{9}+O(q^{10}) $ 32 * q + 2 * q^4 + 16 * q^9	$ 32 q + 2 q^{4} + 16 q^{9} - 14 q^{12} - 8 q^{13} - 2 q^{14} - 14 q^{16} + 54 q^{18} - 12 q^{21} - 36 q^{24} + 30 q^{26} + 32 q^{28} + 40 q^{29} + 60 q^{32} - 24 q^{33} + 60 q^{36} - 60 q^{37} - 46 q^{38} + 78 q^{42} + 18 q^{44} + 2 q^{46} - 28 q^{48} + 16 q^{49} - 46 q^{52} - 12 q^{53} - 12 q^{54} - 4 q^{56} + 42 q^{58} + 24 q^{61} + 8 q^{62} - 4 q^{64} + 24 q^{66} - 4 q^{68} + 90 q^{72} - 24 q^{73} - 38 q^{74} + 20 q^{77} - 36 q^{81} + 8 q^{82} + 20 q^{84} + 28 q^{86} - 78 q^{88} + 60 q^{89} + 72 q^{93} - 18 q^{94} - 60 q^{96} - 48 q^{97} - 124 q^{98}+O(q^{100}) $ 32 * q + 2 * q^4 + 16 * q^9 - 14 * q^12 - 8 * q^13 - 2 * q^14 - 14 * q^16 + 54 * q^18 - 12 * q^21 - 36 * q^24 + 30 * q^26 + 32 * q^28 + 40 * q^29 + 60 * q^32 - 24 * q^33 + 60 * q^36 - 60 * q^37 - 46 * q^38 + 78 * q^42 + 18 * q^44 + 2 * q^46 - 28 * q^48 + 16 * q^49 - 46 * q^52 - 12 * q^53 - 12 * q^54 - 4 * q^56 + 42 * q^58 + 24 * q^61 + 8 * q^62 - 4 * q^64 + 24 * q^66 - 4 * q^68 + 90 * q^72 - 24 * q^73 - 38 * q^74 + 20 * q^77 - 36 * q^81 + 8 * q^82 + 20 * q^84 + 28 * q^86 - 78 * q^88 + 60 * q^89 + 72 * q^93 - 18 * q^94 - 60 * q^96 - 48 * q^97 - 124 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/700\mathbb{Z}\right)^\times$.

$n$	$101$	$351$	$477$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$-1$	$-1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.08542	+	0.906567i	−0.767508	+	0.641040i
$2$	−1.08542	+	0.906567i	−0.767508	+	0.641040i
$3$	0.703249	−	0.406021i	0.406021	−	0.234416i	−0.283058	−	0.959103i	$-0.591349\pi$
$3$	0.703249	−	0.406021i	0.406021	−	0.234416i	0.689079	+	0.724687i	$0.258015\pi$
$4$	0.356272	−	1.96801i	0.178136	−	0.984006i
$5$		0			0
$5$		0			0
$6$	−0.395235	+	1.07825i	−0.161354	+	0.440192i
$7$	2.62428	−	0.336411i	0.991883	−	0.127151i
$7$	2.62428	−	0.336411i	0.991883	−	0.127151i
$8$	1.39743	+	2.45910i	0.494066	+	0.869424i
$9$	−1.17029	+	2.02701i	−0.390098	+	0.675670i
$10$		0			0
$11$	−4.20925	+	2.43021i	−1.26914	+	0.732737i	−0.974825	−	0.222972i	$-0.928424\pi$
$11$	−4.20925	+	2.43021i	−1.26914	+	0.732737i	−0.294313	+	0.955709i	$0.595091\pi$
$12$	−0.548506	−	1.52866i	−0.158340	−	0.441285i
$13$	0.895933			0.248487			0.124244	−	0.992252i	$-0.460350\pi$
$13$	0.895933			0.248487			0.124244	+	0.992252i	$0.460350\pi$
$14$	−2.54346	+	2.74423i	−0.679769	+	0.733426i
$15$		0			0
$16$	−3.74614	−	1.40230i	−0.936535	−	0.350574i
$17$	2.94582	+	5.10231i	0.714467	+	1.23749i	0.963165	+	0.268911i	$0.0866639\pi$
$17$	2.94582	+	5.10231i	0.714467	+	1.23749i	−0.248698	+	0.968581i	$0.580003\pi$
$18$	−0.567359	−	3.26111i	−0.133728	−	0.768650i
$19$	−1.45818	+	2.52565i	−0.334530	+	0.579423i	−0.983394	−	0.181481i	$-0.941911\pi$
$19$	−1.45818	+	2.52565i	−0.334530	+	0.579423i	0.648865	+	0.760904i	$0.275244\pi$
$20$		0			0
$21$	1.70893	−	1.30209i	0.372919	−	0.284140i
$22$	2.36566	−	6.45377i	0.504359	−	1.37595i
$23$	0.780755	−	1.35231i	0.162799	−	0.281976i	−0.773073	−	0.634317i	$-0.781281\pi$
$23$	0.780755	−	1.35231i	0.162799	−	0.281976i	0.935871	+	0.352342i	$0.114615\pi$
$24$	1.98119	+	1.16198i	0.404408	+	0.237187i
$25$		0			0
$26$	−0.972464	+	0.812224i	−0.190716	+	0.159290i
$27$			4.33678i			0.834614i
$28$	0.272896	−	5.28446i	0.0515724	−	0.998669i
$29$	9.73084			1.80697			0.903486	−	0.428618i	$-0.140999\pi$
$29$	9.73084			1.80697			0.903486	+	0.428618i	$0.140999\pi$
$30$		0			0
$31$	−2.20757	−	3.82363i	−0.396492	−	0.686744i	0.596798	−	0.802391i	$-0.296439\pi$
$31$	−2.20757	−	3.82363i	−0.396492	−	0.686744i	−0.993290	+	0.115647i	$0.963106\pi$
$32$	5.33741	−	1.87405i	0.943530	−	0.331288i
$33$	−1.97344	+	3.41809i	−0.343531	+	0.595013i
$34$	−7.82304	−	2.86757i	−1.34164	−	0.491783i
$35$		0			0
$36$	3.57223	+	3.02532i	0.595372	+	0.504220i
$37$	1.57735	+	0.910682i	0.259314	+	0.149715i	0.624022	−	0.781407i	$-0.285498\pi$
$37$	1.57735	+	0.910682i	0.259314	+	0.149715i	−0.364707	+	0.931122i	$0.618831\pi$
$38$	−0.706927	−	4.06333i	−0.114679	−	0.659158i
$39$	0.630064	−	0.363768i	0.100891	−	0.0582494i
$40$		0			0
$41$			10.4920i			1.63858i	0.573381	+	0.819289i	$0.305632\pi$
$41$			10.4920i			1.63858i	−0.573381	+	0.819289i	$0.694368\pi$
$42$	−0.674472	+	2.96258i	−0.104073	+	0.457135i
$43$	3.04581			0.464481			0.232240	−	0.972658i	$-0.425394\pi$
$43$	3.04581			0.464481			0.232240	+	0.972658i	$0.425394\pi$
$44$	3.28305	+	9.14968i	0.494938	+	1.37937i
$45$		0			0
$46$	0.378510	+	2.17563i	0.0558083	+	0.320779i
$47$	4.52006	+	2.60966i	0.659319	+	0.380658i	0.792017	−	0.610498i	$-0.209031\pi$
$47$	4.52006	+	2.60966i	0.659319	+	0.380658i	−0.132698	+	0.991156i	$0.542364\pi$
$48$	−3.20383	+	0.534848i	−0.462433	+	0.0771987i
$49$	6.77366	−	1.76567i	0.967665	−	0.252239i
$50$		0			0
$51$	4.14329	+	2.39213i	0.580177	+	0.334965i
$52$	0.319196	−	1.76321i	0.0442645	−	0.244513i
$53$	−0.155645	+	0.0898619i	−0.0213795	+	0.0123435i	−0.510652	−	0.859788i	$-0.670596\pi$
$53$	−0.155645	+	0.0898619i	−0.0213795	+	0.0123435i	0.489272	+	0.872131i	$0.337262\pi$
$54$	−3.93158	−	4.70723i	−0.535021	−	0.640573i
$55$		0			0
$56$	4.49451	+	5.98326i	0.600604	+	0.799546i
$57$			2.36821i			0.313677i
$58$	−10.5620	+	8.82166i	−1.38686	+	1.15834i
$59$	−5.68287	−	9.84302i	−0.739846	−	1.28145i	−0.952564	−	0.304338i	$-0.901565\pi$
$59$	−5.68287	−	9.84302i	−0.739846	−	1.28145i	0.212718	−	0.977114i	$-0.431768\pi$
$60$		0			0
$61$	−5.33107	−	3.07789i	−0.682573	−	0.394084i	0.118251	−	0.992984i	$-0.462271\pi$
$61$	−5.33107	−	3.07789i	−0.682573	−	0.394084i	−0.800824	+	0.598900i	$0.795605\pi$
$62$	5.86252	+	2.14893i	0.744541	+	0.272914i
$63$	−2.38927	+	5.71313i	−0.301019	+	0.719787i
$64$	−4.09438	+	6.87285i	−0.511798	+	0.859106i
$65$		0			0
$66$	−0.956722	−	5.49911i	−0.117764	−	0.676894i
$67$	−3.89952	−	6.75417i	−0.476403	−	0.825154i	0.523232	−	0.852190i	$-0.324726\pi$
$67$	−3.89952	−	6.75417i	−0.476403	−	0.825154i	−0.999634	+	0.0270367i	$0.991393\pi$
$68$	11.0909	−	3.97960i	1.34497	−	0.482597i
$69$		−	1.26801i		−	0.152651i
$70$		0			0
$71$			8.38078i			0.994616i	0.867574	+	0.497308i	$0.165678\pi$
$71$			8.38078i			0.994616i	−0.867574	+	0.497308i	$0.834322\pi$
$72$	−6.62003	−	0.0452719i	−0.780178	−	0.00533535i
$73$	4.39048	+	7.60453i	0.513866	+	0.890043i	0.999871	+	0.0160862i	$0.00512061\pi$
$73$	4.39048	+	7.60453i	0.513866	+	0.890043i	−0.486004	+	0.873956i	$0.661546\pi$
$74$	−2.53768	+	0.441499i	−0.294999	+	0.0513232i
$75$		0			0
$76$	4.45099	+	3.76954i	0.510564	+	0.432396i
$77$	−10.2287	+	7.79359i	−1.16567	+	0.888162i
$78$	−0.354104	+	0.966036i	−0.0400944	+	0.109382i
$79$	3.14686	+	1.81684i	0.354049	+	0.204410i	0.666467	−	0.745534i	$-0.267806\pi$
$79$	3.14686	+	1.81684i	0.354049	+	0.204410i	−0.312418	+	0.949945i	$0.601139\pi$
$80$		0			0
$81$	−1.75006	−	3.03119i	−0.194451	−	0.336799i
$82$	−9.51172	−	11.3882i	−1.05039	−	1.25762i
$83$		−	2.03796i		−	0.223695i	−0.993725	−	0.111847i	$-0.964323\pi$
$83$		−	2.03796i		−	0.223695i	0.993725	−	0.111847i	$-0.0356768\pi$
$84$	−1.95369	−	3.82709i	−0.213165	−	0.417570i
$85$		0			0
$86$	−3.30598	+	2.76123i	−0.356493	+	0.297751i
$87$	6.84320	−	3.95092i	0.733668	−	0.423584i
$88$	−11.8583	−	6.95494i	−1.26410	−	0.741399i
$89$	−1.52812	−	0.882262i	−0.161981	−	0.0935195i	0.416818	−	0.908990i	$-0.363145\pi$
$89$	−1.52812	−	0.882262i	−0.161981	−	0.0935195i	−0.578799	+	0.815470i	$0.696478\pi$
$90$		0			0
$91$	2.35118	−	0.301402i	0.246470	−	0.0315955i
$92$	−2.38320	−	2.01832i	−0.248465	−	0.210425i
$93$	−3.10495	−	1.79264i	−0.321968	−	0.185888i
$94$	−7.27200	+	1.26516i	−0.750049	+	0.130492i
$95$		0			0
$96$	2.99262	−	3.48502i	0.305433	−	0.355689i
$97$	7.83641			0.795667			0.397834	−	0.917458i	$-0.369762\pi$
$97$	7.83641			0.795667			0.397834	+	0.917458i	$0.369762\pi$
$98$	−5.75156	+	8.05727i	−0.580995	+	0.813907i
$99$		−	11.3763i		−	1.14336i
$100$		0			0
$101$	−6.30931	+	3.64268i	−0.627799	+	0.362460i	−0.779899	−	0.625905i	$-0.784730\pi$
$101$	−6.30931	+	3.64268i	−0.627799	+	0.362460i	0.152100	+	0.988365i	$0.451396\pi$
$102$	−6.66584	+	1.15971i	−0.660016	+	0.114828i
$103$	−7.97652	−	4.60525i	−0.785950	−	0.453768i	0.0525850	−	0.998616i	$-0.483254\pi$
$103$	−7.97652	−	4.60525i	−0.785950	−	0.453768i	−0.838535	+	0.544848i	$0.816587\pi$
$104$	1.25200	+	2.20319i	0.122769	+	0.216041i
$105$		0			0
$106$	0.0874748	−	0.238641i	0.00849630	−	0.0231789i
$107$	−7.49445	+	12.9808i	−0.724516	+	1.25490i	0.234657	+	0.972078i	$0.424603\pi$
$107$	−7.49445	+	12.9808i	−0.724516	+	1.25490i	−0.959173	+	0.282820i	$0.908730\pi$
$108$	8.53484	+	1.54507i	0.821265	+	0.148675i
$109$	0.795610	+	1.37804i	0.0762056	+	0.131992i	0.901610	−	0.432550i	$-0.142386\pi$
$109$	0.795610	+	1.37804i	0.0762056	+	0.131992i	−0.825404	+	0.564542i	$0.809053\pi$
$110$		0			0
$111$	1.47902			0.140383
$112$	−10.3027	−	2.41977i	−0.973509	−	0.228647i
$113$		−	3.57866i		−	0.336652i	−0.985731	−	0.168326i	$-0.946164\pi$
$113$		−	3.57866i		−	0.336652i	0.985731	−	0.168326i	$-0.0538361\pi$
$114$	−2.14694	−	2.57050i	−0.201079	−	0.240750i
$115$		0			0
$116$	3.46683	−	19.1504i	0.321887	−	1.77807i
$117$	−1.04851	+	1.81606i	−0.0969344	+	0.167895i
$118$	15.0917	+	5.53190i	1.38930	+	0.509253i
$119$	9.44712	+	12.3989i	0.866016	+	1.13660i
$120$		0			0
$121$	6.31188	−	10.9325i	0.573807	−	0.993863i
$122$	8.57676	−	1.49216i	0.776503	−	0.135094i
$123$	4.25998	+	7.37850i	0.384109	+	0.665297i
$124$	−8.31145	+	2.98228i	−0.746390	+	0.267816i
$125$		0			0
$126$	−2.58598	−	8.36718i	−0.230377	−	0.745407i
$127$	7.67404			0.680961			0.340481	−	0.940252i	$-0.389410\pi$
$127$	7.67404			0.680961			0.340481	+	0.940252i	$0.389410\pi$
$128$	−1.78658	−	11.1718i	−0.157913	−	0.987453i
$129$	2.14196	−	1.23666i	0.188589	−	0.108882i
$130$		0			0
$131$	9.95404	−	17.2409i	0.869689	−	1.50635i	0.00737416	−	0.999973i	$-0.497653\pi$
$131$	9.95404	−	17.2409i	0.869689	−	1.50635i	0.862315	−	0.506373i	$-0.169014\pi$
$132$	6.02376	+	5.10151i	0.524301	+	0.444030i
$133$	−2.97702	+	7.11854i	−0.258140	+	0.617256i
$134$	10.3557	+	3.79593i	0.894599	+	0.327919i
$135$		0			0
$136$	−8.43053	+	14.3742i	−0.722912	+	1.23258i
$137$	−7.65236	+	4.41809i	−0.653785	+	0.377463i	−0.789905	−	0.613229i	$-0.789870\pi$
$137$	−7.65236	+	4.41809i	−0.653785	+	0.377463i	0.136120	+	0.990692i	$0.456537\pi$
$138$	1.14954	+	1.37632i	0.0978551	+	0.117161i
$139$	7.91285			0.671159			0.335580	−	0.942012i	$-0.391068\pi$
$139$	7.91285			0.671159			0.335580	+	0.942012i	$0.391068\pi$
$140$		0			0
$141$	4.23831			0.356930
$142$	−7.59774	−	9.09667i	−0.637588	−	0.763375i
$143$	−3.77121	+	2.17731i	−0.315364	+	0.182076i
$144$	7.22655	−	5.95236i	0.602213	−	0.496030i
$145$		0			0
$146$	−11.6595	−	4.27384i	−0.964949	−	0.353706i
$147$	4.04667	−	3.99195i	0.333763	−	0.329251i
$148$	2.35420	−	2.77979i	0.193514	−	0.228497i
$149$	−0.861502	+	1.49217i	−0.0705770	+	0.122243i	−0.899154	−	0.437632i	$-0.855817\pi$
$149$	−0.861502	+	1.49217i	−0.0705770	+	0.122243i	0.828577	+	0.559875i	$0.189151\pi$
$150$		0			0
$151$	−0.705057	+	0.407065i	−0.0573767	+	0.0331265i	−0.528414	−	0.848987i	$-0.677213\pi$
$151$	−0.705057	+	0.407065i	−0.0573767	+	0.0331265i	0.471037	+	0.882113i	$0.343880\pi$
$152$	−8.24853	−	0.0564087i	−0.669044	−	0.00457535i
$153$	−13.7899			−1.11485
$154$	4.03701	−	17.7323i	0.325312	−	1.42891i
$155$		0			0
$156$	−0.491425	−	1.36957i	−0.0393455	−	0.109654i
$157$	6.67764	+	11.5660i	0.532934	+	0.923068i	0.999260	+	0.0384557i	$0.0122438\pi$
$157$	6.67764	+	11.5660i	0.532934	+	0.923068i	−0.466327	+	0.884613i	$0.654423\pi$
$158$	−5.06275	+	0.880805i	−0.402771	+	0.0700730i
$159$	−0.0729717	+	0.126391i	−0.00578703	+	0.0100234i
$160$		0			0
$161$	1.59399	−	3.81148i	0.125624	−	0.300387i
$162$	4.64753	+	1.70357i	0.365144	+	0.133845i
$163$	4.48856	−	7.77441i	0.351571	−	0.608939i	−0.634954	−	0.772550i	$-0.718981\pi$
$163$	4.48856	−	7.77441i	0.351571	−	0.608939i	0.986525	+	0.163611i	$0.0523143\pi$
$164$	20.6484	+	3.73802i	1.61237	+	0.291890i
$165$		0			0
$166$	1.84754	+	2.21204i	0.143397	+	0.171688i
$167$		−	17.0324i		−	1.31801i	−0.752140	−	0.659003i	$-0.770978\pi$
$167$		−	17.0324i		−	1.31801i	0.752140	−	0.659003i	$-0.229022\pi$
$168$	5.59009	+	2.38285i	0.431285	+	0.183841i
$169$	−12.1973			−0.938254
$170$		0			0
$171$	−3.41300	−	5.91150i	−0.260999	−	0.452063i
$172$	1.08514	−	5.99418i	0.0827408	−	0.457052i
$173$	8.23299	−	14.2599i	0.625942	−	1.08416i	−0.362416	−	0.932017i	$-0.618048\pi$
$173$	8.23299	−	14.2599i	0.625942	−	1.08416i	0.988358	−	0.152147i	$-0.0486188\pi$
$174$	−3.84597	+	10.4922i	−0.291562	+	0.795414i
$175$		0			0
$176$	19.1763	−	3.20130i	1.44547	−	0.241307i
$177$	−7.99294	−	4.61473i	−0.600786	−	0.346864i
$178$	2.45848	−	0.427721i	0.184271	−	0.0320590i
$179$	−9.26501	+	5.34916i	−0.692499	+	0.399815i	−0.804548	−	0.593888i	$-0.797592\pi$
$179$	−9.26501	+	5.34916i	−0.692499	+	0.399815i	0.112048	+	0.993703i	$0.464259\pi$
$180$		0			0
$181$		−	10.8661i		−	0.807672i	−0.914831	−	0.403836i	$-0.867677\pi$
$181$		−	10.8661i		−	0.807672i	0.914831	−	0.403836i	$-0.132323\pi$
$182$	−2.27877	+	2.45865i	−0.168914	+	0.182247i
$183$	−4.99875			−0.369519
$184$	4.41651	+	0.0302029i	0.325590	+	0.00222659i
$185$		0			0
$186$	4.99532	−	0.869074i	0.366275	−	0.0637236i
$187$	−24.7994	−	14.3179i	−1.81351	−	1.04703i
$188$	6.74622	−	7.96579i	0.492018	−	0.580965i
$189$	1.45894	+	11.3809i	0.106122	+	0.827840i
$190$		0			0
$191$	−0.439231	−	0.253590i	−0.0317816	−	0.0183491i	0.484025	−	0.875054i	$-0.339174\pi$
$191$	−0.439231	−	0.253590i	−0.0317816	−	0.0183491i	−0.515807	+	0.856705i	$0.672508\pi$
$192$	−0.0888479	+	6.49573i	−0.00641205	+	0.468789i
$193$	18.0302	−	10.4098i	1.29784	−	0.749311i	0.317813	−	0.948153i	$-0.397051\pi$
$193$	18.0302	−	10.4098i	1.29784	−	0.749311i	0.980031	+	0.198842i	$0.0637182\pi$
$194$	−8.50580	+	7.10424i	−0.610681	+	0.510054i
$195$		0			0
$196$	−1.06160	−	13.9597i	−0.0758284	−	0.997121i
$197$		−	8.86095i		−	0.631317i	−0.948873	−	0.315658i	$-0.897775\pi$
$197$		−	8.86095i		−	0.631317i	0.948873	−	0.315658i	$-0.102225\pi$
$198$	10.3133	+	12.3480i	0.732937	+	0.877535i
$199$	−11.6081	−	20.1059i	−0.822878	−	1.42527i	−0.903530	−	0.428524i	$-0.859034\pi$
$199$	−11.6081	−	20.1059i	−0.822878	−	1.42527i	0.0806522	−	0.996742i	$-0.474300\pi$
$200$		0			0
$201$	−5.48467	−	3.16658i	−0.386859	−	0.223353i
$202$	3.54591	−	9.67365i	0.249490	−	0.680635i
$203$	25.5364	−	3.27356i	1.79231	−	0.229759i
$204$	6.18388	−	7.30179i	0.432958	−	0.511228i
$205$		0			0
$206$	12.8328	−	2.23262i	0.894106	−	0.155554i
$207$	1.82743	+	3.16519i	0.127015	+	0.219996i
$208$	−3.35629	−	1.25636i	−0.232717	−	0.0871131i
$209$		−	14.1748i		−	0.980490i
$210$		0			0
$211$		−	6.21092i		−	0.427578i	−0.976880	−	0.213789i	$-0.931420\pi$
$211$		−	6.21092i		−	0.427578i	0.976880	−	0.213789i	$-0.0685804\pi$
$212$	0.121397	+	0.338327i	0.00833759	+	0.0232364i
$213$	3.40277	+	5.89378i	0.233154	+	0.403835i
$214$	−3.63331	−	20.8838i	−0.248368	−	1.42759i
$215$		0			0
$216$	−10.6646	+	6.06035i	−0.725634	+	0.412354i
$217$	−7.07960	−	9.29161i	−0.480594	−	0.630756i
$218$	−2.11285	−	0.774475i	−0.143101	−	0.0524541i
$219$	6.17519	+	3.56525i	0.417281	+	0.240917i
$220$		0			0
$221$	2.63926	+	4.57133i	0.177536	+	0.307501i
$222$	−1.60536	+	1.34083i	−0.107745	+	0.0899909i
$223$		−	12.8221i		−	0.858632i	−0.903154	−	0.429316i	$-0.858755\pi$
$223$		−	12.8221i		−	0.858632i	0.903154	−	0.429316i	$-0.141245\pi$
$224$	13.3764	−	6.71358i	0.893748	−	0.448570i
$225$		0			0
$226$	3.24430	+	3.88435i	0.215807	+	0.258383i
$227$	−3.12345	+	1.80332i	−0.207310	+	0.119691i	−0.600061	−	0.799954i	$-0.704857\pi$
$227$	−3.12345	+	1.80332i	−0.207310	+	0.119691i	0.392750	+	0.919645i	$0.371524\pi$
$228$	4.66066	+	0.843727i	0.308660	+	0.0558772i
$229$	−15.4049	−	8.89400i	−1.01798	−	0.587732i	−0.104463	−	0.994529i	$-0.533313\pi$
$229$	−15.4049	−	8.89400i	−1.01798	−	0.587732i	−0.913519	+	0.406796i	$0.866646\pi$
$230$		0			0
$231$	−4.02896	+	9.63390i	−0.265086	+	0.633864i
$232$	13.5982	+	23.9291i	0.892763	+	1.57103i
$233$	0.237354	+	0.137037i	0.0155496	+	0.00897756i	0.507755	−	0.861502i	$-0.330476\pi$
$233$	0.237354	+	0.137037i	0.0155496	+	0.00897756i	−0.492205	+	0.870479i	$0.663809\pi$
$234$	−0.508316	−	2.92173i	−0.0332297	−	0.191000i
$235$		0			0
$236$	−21.3958	+	7.67716i	−1.39275	+	0.499740i
$237$	2.95070			0.191668
$238$	−21.4945	−	4.89353i	−1.39328	−	0.317200i
$239$			23.0254i			1.48939i	0.667406	+	0.744694i	$0.267405\pi$
$239$			23.0254i			1.48939i	−0.667406	+	0.744694i	$0.732595\pi$
$240$		0			0
$241$	3.25210	−	1.87760i	0.209486	−	0.120947i	−0.391587	−	0.920141i	$-0.628074\pi$
$241$	3.25210	−	1.87760i	0.209486	−	0.120947i	0.601072	+	0.799195i	$0.294740\pi$
$242$	3.06000	+	17.5885i	0.196704	+	1.13063i
$243$	−13.7287	−	7.92629i	−0.880699	−	0.508472i
$244$	−7.95664	+	9.39503i	−0.509372	+	0.601455i
$245$		0			0
$246$	−11.3130	−	4.14681i	−0.721289	−	0.264391i
$247$	−1.30643	+	2.26281i	−0.0831264	+	0.143979i
$248$	6.31777	−	10.7719i	0.401179	−	0.684017i
$249$	−0.827453	−	1.43319i	−0.0524377	−	0.0908248i
$250$		0			0
$251$	−0.268218			−0.0169298			−0.00846489	−	0.999964i	$-0.502694\pi$
$251$	−0.268218			−0.0169298			−0.00846489	+	0.999964i	$0.502694\pi$
$252$	10.3923	+	6.73754i	0.654652	+	0.424425i
$253$			7.58961i			0.477155i
$254$	−8.32956	+	6.95703i	−0.522643	+	0.436523i
$255$		0			0
$256$	12.0671	+	10.5064i	0.754196	+	0.656650i
$257$	15.5426	−	26.9207i	0.969524	−	1.67926i	0.272588	−	0.962131i	$-0.412120\pi$
$257$	15.5426	−	26.9207i	0.969524	−	1.67926i	0.696936	−	0.717134i	$-0.254546\pi$
$258$	−1.20381	+	3.28413i	−0.0749459	+	0.204461i
$259$	4.44576	+	1.85924i	0.276246	+	0.115528i
$260$		0			0
$261$	−11.3879	+	19.7245i	−0.704896	+	1.22092i
$262$	4.82573	+	27.7376i	0.298134	+	1.71364i
$263$	13.9230	+	24.1154i	0.858532	+	1.48702i	0.873329	+	0.487130i	$0.161956\pi$
$263$	13.9230	+	24.1154i	0.858532	+	1.48702i	−0.0147973	+	0.999891i	$0.504710\pi$
$264$	−11.1632	−	0.0763408i	−0.687046	−	0.00469845i
$265$		0			0
$266$	−3.22212	−	10.4255i	−0.197561	−	0.639227i
$267$	−1.43287			−0.0876900
$268$	−14.6816	+	5.26799i	−0.896821	+	0.321793i
$269$	1.25127	−	0.722424i	0.0762916	−	0.0440470i	−0.461369	−	0.887208i	$-0.652642\pi$
$269$	1.25127	−	0.722424i	0.0762916	−	0.0440470i	0.537661	+	0.843161i	$0.319308\pi$
$270$		0			0
$271$	−6.99708	+	12.1193i	−0.425042	+	0.736195i	−0.996424	−	0.0844893i	$-0.973074\pi$
$271$	−6.99708	+	12.1193i	−0.425042	+	0.736195i	0.571382	+	0.820684i	$0.306407\pi$
$272$	−3.88051	−	23.2449i	−0.235290	−	1.40943i
$273$	1.53109	−	1.16659i	0.0926656	−	0.0706051i
$274$	4.30072	−	11.7329i	0.259816	−	0.708808i
$275$		0			0
$276$	−2.49546	−	0.451757i	−0.150209	−	0.0271926i
$277$	16.0332	−	9.25674i	0.963339	−	0.556184i	0.0661397	−	0.997810i	$-0.478932\pi$
$277$	16.0332	−	9.25674i	0.963339	−	0.556184i	0.897199	+	0.441627i	$0.145598\pi$
$278$	−8.58877	+	7.17353i	−0.515120	+	0.430240i
$279$	10.3340			0.618683
$280$		0			0
$281$	−9.00853			−0.537404			−0.268702	−	0.963223i	$-0.586595\pi$
$281$	−9.00853			−0.537404			−0.268702	+	0.963223i	$0.586595\pi$
$282$	−4.60034	+	3.84231i	−0.273946	+	0.228806i
$283$	−23.6382	+	13.6475i	−1.40515	+	0.811261i	−0.994915	−	0.100720i	$-0.967885\pi$
$283$	−23.6382	+	13.6475i	−1.40515	+	0.811261i	−0.410231	+	0.911982i	$0.634552\pi$
$284$	16.4935	+	2.98584i	0.978708	+	0.177177i
$285$		0			0
$286$	2.11947	−	5.78215i	0.125327	−	0.341906i
$287$	3.52963	+	27.5340i	0.208348	+	1.62528i
$288$	−2.44763	+	13.0122i	−0.144228	+	0.766749i
$289$	−8.85572	+	15.3386i	−0.520925	+	0.902268i
$290$		0			0
$291$	5.51095	−	3.18175i	0.323058	−	0.186517i
$292$	16.5300	−	5.93123i	0.967345	−	0.347099i
$293$	−10.6330			−0.621188			−0.310594	−	0.950543i	$-0.600528\pi$
$293$	−10.6330			−0.621188			−0.310594	+	0.950543i	$0.600528\pi$
$294$	−0.773358	+	8.00152i	−0.0451032	+	0.466658i
$295$		0			0
$296$	−0.0352290	+	5.15148i	−0.00204765	+	0.299424i
$297$	−10.5393	−	18.2546i	−0.611552	−	1.05924i
$298$	−0.417657	−	2.40064i	−0.0241942	−	0.139065i
$299$	0.699505	−	1.21158i	0.0404534	−	0.0700673i
$300$		0			0
$301$	7.99304	−	1.02464i	0.460711	−	0.0590594i
$302$	0.396251	−	1.08102i	0.0228017	−	0.0622056i
$303$	−2.95801	+	5.12342i	−0.169933	+	0.294333i
$304$	9.00426	−	7.41662i	0.516430	−	0.425372i
$305$		0			0
$306$	14.9678	−	12.5015i	0.855654	−	0.714662i
$307$			17.9812i			1.02624i	0.858317	+	0.513120i	$0.171510\pi$
$307$			17.9812i			1.02624i	−0.858317	+	0.513120i	$0.828490\pi$
$308$	11.6937	+	22.9068i	0.666309	+	1.30524i
$309$	−7.47930			−0.425483
$310$		0			0
$311$	14.1579	+	24.5222i	0.802821	+	1.39053i	0.917752	+	0.397153i	$0.130002\pi$
$311$	14.1579	+	24.5222i	0.802821	+	1.39053i	−0.114931	+	0.993373i	$0.536665\pi$
$312$	1.77501	+	1.04105i	0.100490	+	0.0589380i
$313$	−2.79748	+	4.84537i	−0.158123	+	0.273877i	−0.934192	−	0.356771i	$-0.883878\pi$
$313$	−2.79748	+	4.84537i	−0.158123	+	0.273877i	0.776069	+	0.630648i	$0.217211\pi$
$314$	−17.7334	−	6.50025i	−1.00075	−	0.366830i
$315$		0			0
$316$	4.69670	−	5.54576i	0.264210	−	0.311974i
$317$	−27.1475	−	15.6736i	−1.52476	−	0.880318i	−0.999570	−	0.0293312i	$-0.990662\pi$
$317$	−27.1475	−	15.6736i	−1.52476	−	0.880318i	−0.525186	−	0.850987i	$-0.676004\pi$
$318$	−0.0353767	−	0.203341i	−0.00198383	−	0.0114028i
$319$	−40.9596	+	23.6480i	−2.29330	+	1.32404i
$320$		0			0
$321$			12.1716i			0.679353i
$322$	1.72522	+	5.58211i	0.0961428	+	0.311079i
$323$	−17.1822			−0.956042
$324$	−6.58892	+	2.36421i	−0.366051	+	0.131345i
$325$		0			0
$326$	2.17605	+	12.5077i	0.120520	+	0.692736i
$327$	1.11902	+	0.646069i	0.0618822	+	0.0357277i
$328$	−25.8010	+	14.6619i	−1.42462	+	0.809566i
$329$	12.7398	+	5.32787i	0.702369	+	0.293735i
$330$		0			0
$331$	−18.6312	−	10.7567i	−1.02406	−	0.591244i	−0.108786	−	0.994065i	$-0.534696\pi$
$331$	−18.6312	−	10.7567i	−1.02406	−	0.591244i	−0.915279	+	0.402821i	$0.868030\pi$
$332$	−4.01072	−	0.726068i	−0.220117	−	0.0398481i
$333$	−3.69192	+	2.13153i	−0.202316	+	0.116807i
$334$	15.4410	+	18.4873i	0.844895	+	1.01158i
$335$		0			0
$336$	−8.22781	+	2.48139i	−0.448864	+	0.135371i
$337$		−	0.0584151i		−	0.00318207i	−0.999999	−	0.00159104i	$-0.999494\pi$
$337$		−	0.0584151i		−	0.00318207i	0.999999	−	0.00159104i	$-0.000506443\pi$
$338$	13.2392	−	11.0577i	0.720117	−	0.601458i
$339$	−1.45301	−	2.51669i	−0.0789167	−	0.136688i
$340$		0			0
$341$	18.5845	+	10.7298i	1.00641	+	0.581049i
$342$	9.06371	+	3.32234i	0.490109	+	0.179651i
$343$	17.1820	−	6.91235i	0.927738	−	0.373232i
$344$	4.25630	+	7.48995i	0.229484	+	0.403831i
$345$		0			0
$346$	3.99136	+	22.9418i	0.214577	+	1.23336i
$347$	−4.40681	−	7.63282i	−0.236570	−	0.409751i	0.723158	−	0.690683i	$-0.242690\pi$
$347$	−4.40681	−	7.63282i	−0.236570	−	0.409751i	−0.959728	+	0.280932i	$0.909357\pi$
$348$	−5.33742	−	14.8751i	−0.286116	−	0.797389i
$349$		−	1.78555i		−	0.0955784i	−0.998857	−	0.0477892i	$-0.984782\pi$
$349$		−	1.78555i		−	0.0955784i	0.998857	−	0.0477892i	$-0.0152176\pi$
$350$		0			0
$351$			3.88547i			0.207391i
$352$	−17.9122	+	20.8594i	−0.954722	+	1.11181i
$353$	−13.7465	−	23.8096i	−0.731651	−	1.26726i	−0.956177	−	0.292789i	$-0.905417\pi$
$353$	−13.7465	−	23.8096i	−0.731651	−	1.26726i	0.224526	−	0.974468i	$-0.427917\pi$
$354$	12.8593	−	2.23722i	0.683462	−	0.118907i
$355$		0			0
$356$	−2.28073	+	2.69304i	−0.120878	+	0.142731i
$357$	11.6779	+	4.88376i	0.618059	+	0.258476i
$358$	5.20706	−	14.2054i	0.275201	−	0.750780i
$359$	16.1118	+	9.30213i	0.850346	+	0.490948i	0.860768	−	0.508998i	$-0.169984\pi$
$359$	16.1118	+	9.30213i	0.850346	+	0.490948i	−0.0104213	+	0.999946i	$0.503317\pi$
$360$		0			0
$361$	5.24741	+	9.08878i	0.276179	+	0.478357i
$362$	9.85087	+	11.7943i	0.517750	+	0.619895i
$363$		−	10.2510i		−	0.538039i
$364$	0.244496	−	4.73452i	0.0128151	−	0.248157i
$365$		0			0
$366$	5.42575	−	4.53171i	0.283608	−	0.236876i
$367$	19.0390	−	10.9922i	0.993829	−	0.573788i	0.0874124	−	0.996172i	$-0.472140\pi$
$367$	19.0390	−	10.9922i	0.993829	−	0.573788i	0.906417	+	0.422385i	$0.138807\pi$
$368$	−4.82115	+	3.97108i	−0.251320	+	0.207007i
$369$	−21.2674	−	12.2787i	−1.10714	−	0.639206i
$370$		0			0
$371$	−0.378226	+	0.288183i	−0.0196365	+	0.0149617i
$372$	−4.63415	+	5.47190i	−0.240269	+	0.283705i
$373$	0.489838	+	0.282808i	0.0253629	+	0.0146433i	0.512628	−	0.858611i	$-0.328672\pi$
$373$	0.489838	+	0.282808i	0.0253629	+	0.0146433i	−0.487265	+	0.873254i	$0.662005\pi$
$374$	39.8980	−	6.94135i	2.06307	−	0.358929i
$375$		0			0
$376$	−0.100953	+	14.7621i	−0.00520624	+	0.761298i
$377$	8.71818			0.449009
$378$	−11.9011	−	11.0304i	−0.612128	−	0.567345i
$379$		−	28.3294i		−	1.45518i	−0.686010	−	0.727592i	$-0.740639\pi$
$379$		−	28.3294i		−	1.45518i	0.686010	−	0.727592i	$-0.259361\pi$
$380$		0			0
$381$	5.39676	−	3.11582i	0.276484	−	0.159628i
$382$	0.706647	−	0.122941i	0.0361552	−	0.00629019i
$383$	2.67256	+	1.54300i	0.136561	+	0.0788438i	0.566724	−	0.823908i	$-0.308210\pi$
$383$	2.67256	+	1.54300i	0.136561	+	0.0788438i	−0.430163	+	0.902751i	$0.641544\pi$
$384$	−5.79237	−	7.13114i	−0.295591	−	0.363909i
$385$		0			0
$386$	−10.1332	+	27.6446i	−0.515768	+	1.40707i
$387$	−3.56449	+	6.17387i	−0.181193	+	0.313836i
$388$	2.79190	−	15.4222i	0.141737	−	0.782941i
$389$	8.17685	+	14.1627i	0.414583	+	0.718078i	0.995385	−	0.0959669i	$-0.0305943\pi$
$389$	8.17685	+	14.1627i	0.414583	+	0.718078i	−0.580802	+	0.814045i	$0.697261\pi$
$390$		0			0
$391$	9.19986			0.465257
$392$	13.8077	+	14.1897i	0.697393	+	0.716689i
$393$		−	16.1662i		−	0.815477i
$394$	8.03305	+	9.61786i	0.404699	+	0.484541i
$395$		0			0
$396$	−22.3886	−	4.05305i	−1.12507	−	0.203673i
$397$	3.91230	−	6.77631i	0.196353	−	0.340093i	−0.750990	−	0.660313i	$-0.770424\pi$
$397$	3.91230	−	6.77631i	0.196353	−	0.340093i	0.947343	+	0.320220i	$0.103757\pi$
$398$	30.8270	+	11.2998i	1.54522	+	0.566406i
$399$	0.796692	+	6.21484i	0.0398845	+	0.311131i
$400$		0			0
$401$	9.89379	−	17.1366i	0.494072	−	0.855758i	−0.505904	−	0.862590i	$-0.668841\pi$
$401$	9.89379	−	17.1366i	0.494072	−	0.855758i	0.999977	+	0.00683114i	$0.00217444\pi$
$402$	8.82389	−	1.53516i	0.440095	−	0.0765667i
$403$	−1.97784	−	3.42572i	−0.0985232	−	0.170647i
$404$	4.92101	+	13.7146i	0.244829	+	0.682326i
$405$		0			0
$406$	−24.7500	+	26.7037i	−1.22832	+	1.32528i
$407$	−8.85261			−0.438808
$408$	−0.0925377	+	13.5316i	−0.00458130	+	0.669915i
$409$	−21.9116	+	12.6507i	−1.08346	+	0.625536i	−0.931828	−	0.362900i	$-0.881786\pi$
$409$	−21.9116	+	12.6507i	−1.08346	+	0.625536i	−0.151633	+	0.988437i	$0.548453\pi$
$410$		0			0
$411$	−3.58767	+	6.21403i	−0.176967	+	0.306516i
$412$	−11.9050	+	14.0572i	−0.586517	+	0.692547i
$413$	−18.2247	−	23.9190i	−0.896780	−	1.17698i
$414$	−4.85299	−	1.77888i	−0.238511	−	0.0874272i
$415$		0			0
$416$	4.78196	−	1.67902i	0.234455	−	0.0823208i
$417$	5.56470	−	3.21278i	0.272505	−	0.157331i
$418$	12.8504	+	15.3856i	0.628533	+	0.752533i
$419$	16.6804			0.814889			0.407445	−	0.913230i	$-0.366420\pi$
$419$	16.6804			0.814889			0.407445	+	0.913230i	$0.366420\pi$
$420$		0			0
$421$	3.13305			0.152695			0.0763477	−	0.997081i	$-0.475674\pi$
$421$	3.13305			0.152695			0.0763477	+	0.997081i	$0.475674\pi$
$422$	5.63062	+	6.74146i	0.274094	+	0.328169i
$423$	−10.5796	+	6.10814i	−0.514398	+	0.296988i
$424$	−0.438483	−	0.257173i	−0.0212946	−	0.0124894i
$425$		0			0
$426$	−9.03654	−	3.31238i	−0.437822	−	0.160485i
$427$	−15.0256	−	6.28381i	−0.727141	−	0.304095i
$428$	22.8762	+	19.3739i	1.10576	+	0.936470i
$429$	−1.76807	+	3.06238i	−0.0853630	+	0.147853i
$430$		0			0
$431$	−23.5490	+	13.5960i	−1.13432	+	0.654898i	−0.945017	−	0.327021i	$-0.893955\pi$
$431$	−23.5490	+	13.5960i	−1.13432	+	0.654898i	−0.189300	+	0.981919i	$0.560622\pi$
$432$	6.08145	−	16.2462i	0.292594	−	0.781645i
$433$	32.0204			1.53880			0.769401	−	0.638766i	$-0.220555\pi$
$433$	32.0204			1.53880			0.769401	+	0.638766i	$0.220555\pi$
$434$	16.1078	+	3.66717i	0.773199	+	0.176030i
$435$		0			0
$436$	2.99545	−	1.07481i	0.143456	−	0.0514743i
$437$	2.27697	+	3.94382i	0.108922	+	0.188659i
$438$	−9.93482	+	1.72843i	−0.474704	+	0.0825878i
$439$	10.0502	−	17.4074i	0.479668	−	0.830809i	−0.520060	−	0.854130i	$-0.674091\pi$
$439$	10.0502	−	17.4074i	0.479668	−	0.830809i	0.999728	+	0.0233207i	$0.00742388\pi$
$440$		0			0
$441$	−4.34814	+	15.7966i	−0.207054	+	0.752220i
$442$	−7.00892	−	2.56915i	−0.333380	−	0.122202i
$443$	−7.44839	+	12.9010i	−0.353884	+	0.612945i	−0.986926	−	0.161172i	$-0.948473\pi$
$443$	−7.44839	+	12.9010i	−0.353884	+	0.612945i	0.633042	+	0.774117i	$0.281806\pi$
$444$	0.526935	−	2.91074i	0.0250072	−	0.138137i
$445$		0			0
$446$	11.6241	+	13.9174i	0.550417	+	0.659006i
$447$			1.39915i			0.0661776i
$448$	−8.43268	+	19.4137i	−0.398407	+	0.917209i
$449$	6.18602			0.291936			0.145968	−	0.989289i	$-0.453370\pi$
$449$	6.18602			0.291936			0.145968	+	0.989289i	$0.453370\pi$
$450$		0			0
$451$	−25.4979	−	44.1636i	−1.20065	−	2.07958i
$452$	−7.04285	−	1.27498i	−0.331268	−	0.0599699i
$453$	−0.330554	+	0.572536i	−0.0155308	+	0.0269001i
$454$	1.75542	−	4.78898i	0.0823858	−	0.224758i
$455$		0			0
$456$	−5.82367	+	3.30941i	−0.272718	+	0.154977i
$457$	20.2219	+	11.6751i	0.945943	+	0.546140i	0.891818	−	0.452394i	$-0.149430\pi$
$457$	20.2219	+	11.6751i	0.945943	+	0.546140i	0.0541246	+	0.998534i	$0.482763\pi$
$458$	24.7838	−	4.31182i	1.15807	−	0.201478i
$459$	−22.1276	+	12.7754i	−1.03283	+	0.596304i
$460$		0			0
$461$		−	17.4080i		−	0.810772i	−0.914146	−	0.405386i	$-0.867137\pi$
$461$		−	17.4080i		−	0.810772i	0.914146	−	0.405386i	$-0.132863\pi$
$462$	−4.36067	−	14.1093i	−0.202877	−	0.656426i
$463$	0.962509			0.0447316			0.0223658	−	0.999750i	$-0.492880\pi$
$463$	0.962509			0.0447316			0.0223658	+	0.999750i	$0.492880\pi$
$464$	−36.4531	−	13.6455i	−1.69229	−	0.633477i
$465$		0			0
$466$	−0.381862	+	0.0664354i	−0.0176894	+	0.00307756i
$467$	−0.251997	−	0.145490i	−0.0116610	−	0.00673249i	0.494158	−	0.869372i	$-0.335476\pi$
$467$	−0.251997	−	0.145490i	−0.0116610	−	0.00673249i	−0.505819	+	0.862640i	$0.668810\pi$
$468$	3.20048	+	2.71048i	0.147942	+	0.125292i
$469$	−12.5056	−	16.4130i	−0.577455	−	0.757881i
$470$		0			0
$471$	9.39209	+	5.42252i	0.432764	+	0.249857i
$472$	16.2636	−	27.7297i	0.748592	−	1.27636i
$473$	−12.8206	+	7.40196i	−0.589490	+	0.340342i
$474$	−3.20275	+	2.67501i	−0.147107	+	0.122867i
$475$		0			0
$476$	27.7669	−	14.1747i	1.27269	−	0.649695i
$477$		−	0.420660i		−	0.0192607i
$478$	−20.8741	−	24.9922i	−0.954757	−	1.14312i
$479$	−9.89481	−	17.1383i	−0.452106	−	0.783070i	0.546411	−	0.837517i	$-0.315994\pi$
$479$	−9.89481	−	17.1383i	−0.452106	−	0.783070i	−0.998517	+	0.0544474i	$0.982660\pi$
$480$		0			0
$481$	1.41320	+	0.815911i	0.0644363	+	0.0372023i
$482$	−1.82772	+	4.98623i	−0.0832504	+	0.227116i
$483$	−0.426573	−	3.32761i	−0.0194098	−	0.151412i
$484$	−19.2665	−	16.3168i	−0.875751	−	0.741672i
$485$		0			0
$486$	22.0872	−	3.84267i	1.00189	−	0.174307i
$487$	11.3108	+	19.5908i	0.512540	+	0.887745i	0.999894	+	0.0145405i	$0.00462854\pi$
$487$	11.3108	+	19.5908i	0.512540	+	0.887745i	−0.487355	+	0.873204i	$0.662038\pi$
$488$	0.119066	−	17.4108i	0.00538986	−	0.788149i
$489$		−	7.28979i		−	0.329656i
$490$		0			0
$491$		−	38.9565i		−	1.75808i	−0.476745	−	0.879042i	$-0.658184\pi$
$491$		−	38.9565i		−	1.75808i	0.476745	−	0.879042i	$-0.341816\pi$
$492$	16.0387	−	5.75493i	0.723080	−	0.259452i
$493$	28.6653	+	49.6498i	1.29102	+	2.23611i
$494$	−0.633360	−	3.64047i	−0.0284962	−	0.163792i
$495$		0			0
$496$	2.90802	+	17.4195i	0.130574	+	0.782160i
$497$	2.81939	+	21.9935i	0.126467	+	0.986543i
$498$	2.19742	+	0.805472i	0.0984686	+	0.0360941i
$499$	32.6131	+	18.8292i	1.45996	+	0.842909i	0.999009	−	0.0445156i	$-0.0141744\pi$
$499$	32.6131	+	18.8292i	1.45996	+	0.842909i	0.460953	+	0.887425i	$0.347508\pi$
$500$		0			0
$501$	−6.91551	−	11.9780i	−0.308962	−	0.535138i
$502$	0.291129	−	0.243158i	0.0129937	−	0.0108527i
$503$		−	42.9688i		−	1.91589i	−0.286959	−	0.957943i	$-0.592644\pi$
$503$		−	42.9688i		−	1.91589i	0.286959	−	0.957943i	$-0.407356\pi$
$504$	−17.3880	+	2.10825i	−0.774524	+	0.0939087i
$505$		0			0
$506$	−6.88049	−	8.23791i	−0.305875	−	0.366220i
$507$	−8.57774	+	4.95236i	−0.380951	+	0.219942i
$508$	2.73405	−	15.1026i	0.121304	−	0.670070i
$509$	−4.13736	−	2.38870i	−0.183385	−	0.105877i	0.405497	−	0.914096i	$-0.367098\pi$
$509$	−4.13736	−	2.38870i	−0.183385	−	0.105877i	−0.588882	+	0.808219i	$0.700432\pi$
$510$		0			0
$511$	14.0801	+	18.4794i	0.622866	+	0.817480i
$512$	−22.6227	−	0.464182i	−0.999790	−	0.0205141i
$513$	−10.9532	−	6.32382i	−0.483594	−	0.279203i
$514$	7.53508	+	43.3107i	0.332358	+	1.91035i
$515$		0			0
$516$	−1.67064	−	4.65599i	−0.0735459	−	0.204968i
$517$	−25.3681			−1.11569
$518$	−6.51105	+	2.01232i	−0.286079	+	0.0884163i
$519$		−	13.3711i		−	0.586924i
$520$		0			0
$521$	−15.8425	+	9.14670i	−0.694075	+	0.400724i	−0.805137	−	0.593089i	$-0.797908\pi$
$521$	−15.8425	+	9.14670i	−0.694075	+	0.400724i	0.111062	+	0.993813i	$0.464575\pi$
$522$	−5.52088	−	31.7333i	−0.241642	−	1.38893i
$523$	16.0323	+	9.25624i	0.701043	+	0.404747i	0.807736	−	0.589545i	$-0.200693\pi$
$523$	16.0323	+	9.25624i	0.701043	+	0.404747i	−0.106693	+	0.994292i	$0.534026\pi$
$524$	−30.3840	−	25.7321i	−1.32733	−	1.12411i
$525$		0			0
$526$	−36.9746	−	13.5532i	−1.61217	−	0.590947i
$527$	13.0062	−	22.5275i	0.566560	−	0.981311i
$528$	12.1859	−	10.0373i	0.530325	−	0.436818i
$529$	10.2808	+	17.8069i	0.446993	+	0.774215i
$530$		0			0
$531$	26.6025			1.15445
$532$	12.9487	+	8.39494i	0.561399	+	0.363967i
$533$			9.40015i			0.407166i
$534$	1.55526	−	1.29899i	0.0673028	−	0.0562128i
$535$		0			0
$536$	11.1599	−	19.0278i	0.482034	−	0.821877i
$537$	−4.34374	+	7.52358i	−0.187446	+	0.324666i
$538$	−0.703233	+	1.91850i	−0.0303185	+	0.0827123i
$539$	−24.2211	+	23.8936i	−1.04328	+	1.02917i
$540$		0			0
$541$	1.99811	−	3.46083i	0.0859055	−	0.148793i	−0.819871	−	0.572548i	$-0.805955\pi$
$541$	1.99811	−	3.46083i	0.0859055	−	0.148793i	0.905777	+	0.423755i	$0.139288\pi$
$542$	−3.39219	−	19.4978i	−0.145707	−	0.837504i
$543$	−4.41187	−	7.64159i	−0.189332	−	0.327932i
$544$	25.2850	+	21.7125i	1.08409	+	0.930917i
$545$		0			0
$546$	−0.604282	+	2.65427i	−0.0258609	+	0.113592i
$547$	13.3961			0.572774			0.286387	−	0.958114i	$-0.407546\pi$
$547$	13.3961			0.572774			0.286387	+	0.958114i	$0.407546\pi$
$548$	5.96853	+	16.6340i	0.254963	+	0.710568i
$549$	12.4778	−	7.20408i	0.532541	−	0.307463i
$550$		0			0
$551$	−14.1893	+	24.5767i	−0.604486	+	1.04700i
$552$	3.11817	−	1.77196i	0.132718	−	0.0754195i
$553$	8.86943	+	3.70925i	0.377167	+	0.157733i
$554$	−9.01084	+	24.5826i	−0.382834	+	1.04441i
$555$		0			0
$556$	2.81913	−	15.5726i	0.119558	−	0.660425i
$557$	12.4811	−	7.20598i	0.528842	−	0.305327i	−0.211703	−	0.977334i	$-0.567901\pi$
$557$	12.4811	−	7.20598i	0.528842	−	0.305327i	0.740545	+	0.672007i	$0.234568\pi$
$558$	−11.2168	+	9.36850i	−0.474844	+	0.396600i
$559$	2.72884			0.115418
$560$		0			0
$561$	−23.2535			−0.981766
$562$	9.77804	−	8.16684i	0.412462	−	0.344497i
$563$	5.78430	−	3.33957i	0.243779	−	0.140746i	−0.373133	−	0.927778i	$-0.621717\pi$
$563$	5.78430	−	3.33957i	0.243779	−	0.140746i	0.616912	+	0.787032i	$0.288383\pi$
$564$	1.50999	−	8.34104i	0.0635821	−	0.351221i
$565$		0			0
$566$	13.2850	−	36.2429i	0.558410	−	1.52340i
$567$	−5.61236	−	7.36594i	−0.235697	−	0.309341i
$568$	−20.6092	+	11.7116i	−0.864743	+	0.491406i
$569$	10.4511	−	18.1019i	0.438134	−	0.758871i	−0.559411	−	0.828890i	$-0.688973\pi$
$569$	10.4511	−	18.1019i	0.438134	−	0.758871i	0.997546	+	0.0700192i	$0.0223060\pi$
$570$		0			0
$571$	4.83991	−	2.79432i	0.202544	−	0.116939i	−0.395298	−	0.918553i	$-0.629359\pi$
$571$	4.83991	−	2.79432i	0.202544	−	0.116939i	0.597841	+	0.801614i	$0.296025\pi$
$572$	2.94139	+	8.19750i	0.122986	+	0.342755i
$573$	−0.411852			−0.0172053
$574$	−28.7925	−	26.6861i	−1.20178	−	1.11385i
$575$		0			0
$576$	−9.13970	−	16.3426i	−0.380821	−	0.680942i
$577$	−0.909582	−	1.57544i	−0.0378664	−	0.0655865i	0.846471	−	0.532435i	$-0.178723\pi$
$577$	−0.909582	−	1.57544i	−0.0378664	−	0.0655865i	−0.884337	+	0.466848i	$0.845389\pi$
$578$	−4.29326	−	24.6771i	−0.178576	−	1.02643i
$579$	8.45316	−	14.6413i	0.351301	−	0.608472i
$580$		0			0
$581$	−0.685592	−	5.34816i	−0.0284431	−	0.221879i
$582$	−3.09723	+	8.44958i	−0.128384	+	0.350246i
$583$	0.436767	−	0.756503i	0.0180891	−	0.0313312i
$584$	−12.5649	+	21.4234i	−0.519941	+	0.886508i
$585$		0			0
$586$	11.5413	−	9.63956i	0.476767	−	0.398207i
$587$		−	26.1792i		−	1.08053i	−0.841495	−	0.540265i	$-0.818324\pi$
$587$		−	26.1792i		−	1.08053i	0.841495	−	0.540265i	$-0.181676\pi$
$588$	−6.41449	−	9.38611i	−0.264529	−	0.387076i
$589$	12.8762			0.530554
$590$		0			0
$591$	−3.59773	−	6.23146i	−0.147991	−	0.256328i
$592$	−4.63192	−	5.62345i	−0.190371	−	0.231122i
$593$	−13.8158	+	23.9296i	−0.567345	+	0.982671i	0.429482	+	0.903075i	$0.358696\pi$
$593$	−13.8158	+	23.9296i	−0.567345	+	0.982671i	−0.996827	+	0.0795955i	$0.974637\pi$
$594$	27.9886	+	10.2593i	1.14839	+	0.420945i
$595$		0			0
$596$	2.62967	+	2.22706i	0.107716	+	0.0912241i
$597$	−16.3268	−	9.42628i	−0.668211	−	0.385792i
$598$	0.339120	+	1.94922i	0.0138677	+	0.0797094i
$599$	4.82336	−	2.78477i	0.197077	−	0.113783i	−0.398214	−	0.917292i	$-0.630370\pi$
$599$	4.82336	−	2.78477i	0.197077	−	0.113783i	0.595291	+	0.803510i	$0.297037\pi$
$600$		0			0
$601$		−	30.5902i		−	1.24780i	−0.781504	−	0.623901i	$-0.785547\pi$
$601$		−	30.5902i		−	1.24780i	0.781504	−	0.623901i	$-0.214453\pi$
$602$	−7.74689	+	8.35839i	−0.315740	+	0.340663i
$603$	18.2544			0.743375
$604$	0.549916	+	1.53259i	0.0223758	+	0.0623600i
$605$		0			0
$606$	−1.43404	−	8.24270i	−0.0582541	−	0.334837i
$607$	17.5127	+	10.1110i	0.710818	+	0.410391i	0.811364	−	0.584541i	$-0.198725\pi$
$607$	17.5127	+	10.1110i	0.710818	+	0.410391i	−0.100546	+	0.994932i	$0.532059\pi$
$608$	−3.04974	+	16.2131i	−0.123683	+	0.657528i
$609$	16.6293	−	12.6704i	0.673854	−	0.513432i
$610$		0			0
$611$	4.04968	+	2.33808i	0.163832	+	0.0945887i
$612$	−4.91296	+	27.1387i	−0.198595	+	1.09702i
$613$	19.4874	−	11.2510i	0.787087	−	0.454425i	−0.0518488	−	0.998655i	$-0.516511\pi$
$613$	19.4874	−	11.2510i	0.787087	−	0.454425i	0.838936	+	0.544230i	$0.183178\pi$
$614$	−16.3011	−	19.5171i	−0.657860	−	0.787647i
$615$		0			0
$616$	−33.4591	−	14.2624i	−1.34811	−	0.574649i
$617$			22.5772i			0.908922i	0.890767	+	0.454461i	$0.150168\pi$
$617$			22.5772i			0.908922i	−0.890767	+	0.454461i	$0.849832\pi$
$618$	8.11818	−	6.78049i	0.326561	−	0.272751i
$619$	−6.15713	−	10.6645i	−0.247476	−	0.428641i	0.715349	−	0.698768i	$-0.246268\pi$
$619$	−6.15713	−	10.6645i	−0.247476	−	0.428641i	−0.962825	+	0.270126i	$0.912935\pi$
$620$		0			0
$621$	5.86466	+	3.38596i	0.235341	+	0.135874i
$622$	−37.5983	−	13.7818i	−1.50755	−	0.552600i
$623$	−4.30702	−	1.80122i	−0.172557	−	0.0721644i
$624$	−2.87042	+	0.479188i	−0.114909	+	0.0191829i
$625$		0			0
$626$	−1.35622	−	7.79537i	−0.0542054	−	0.311565i
$627$	−5.75526	−	9.96839i	−0.229843	−	0.398099i
$628$	25.1411	−	9.02103i	1.00324	−	0.359978i
$629$			10.7308i			0.427866i
$630$		0			0
$631$			22.9961i			0.915459i	0.889091	+	0.457730i	$0.151337\pi$
$631$			22.9961i			0.915459i	−0.889091	+	0.457730i	$0.848663\pi$
$632$	−0.0702830	+	10.2774i	−0.00279571	+	0.408811i
$633$	−2.52176	−	4.36782i	−0.100231	−	0.173605i
$634$	43.6756	−	7.59858i	1.73458	−	0.301778i
$635$		0			0
$636$	0.222740	+	0.188639i	0.00883223	+	0.00748000i
$637$	6.06874	−	1.58192i	0.240452	−	0.0626781i
$638$	23.0198	−	62.8006i	0.911363	−	2.48630i
$639$	−16.9879	−	9.80798i	−0.672032	−	0.387998i
$640$		0			0
$641$	17.7377	+	30.7226i	0.700598	+	1.21347i	0.968257	+	0.249957i	$0.0804165\pi$
$641$	17.7377	+	30.7226i	0.700598	+	1.21347i	−0.267659	+	0.963514i	$0.586250\pi$
$642$	−11.0344	−	13.2113i	−0.435492	−	0.521409i
$643$			8.46366i			0.333774i	0.985976	+	0.166887i	$0.0533715\pi$
$643$			8.46366i			0.333774i	−0.985976	+	0.166887i	$0.946628\pi$
$644$	−6.93315	−	4.49491i	−0.273204	−	0.177124i
$645$		0			0
$646$	18.6499	−	15.5768i	0.733769	−	0.612861i
$647$	4.29036	−	2.47704i	0.168672	−	0.0973826i	−0.413288	−	0.910600i	$-0.635620\pi$
$647$	4.29036	−	2.47704i	0.168672	−	0.0973826i	0.581959	+	0.813218i	$0.302286\pi$
$648$	5.00843	−	8.53945i	0.196750	−	0.335461i
$649$	47.8413	+	27.6212i	1.87793	+	1.08423i
$650$		0			0
$651$	−8.75130	−	3.65985i	−0.342991	−	0.143441i
$652$	−13.7010	−	11.6033i	−0.536572	−	0.454422i
$653$	−1.63798	−	0.945688i	−0.0640991	−	0.0370076i	0.467608	−	0.883936i	$-0.345116\pi$
$653$	−1.63798	−	0.945688i	−0.0640991	−	0.0370076i	−0.531707	+	0.846928i	$0.678449\pi$
$654$	−1.80032	+	0.313214i	−0.0703979	+	0.0122477i
$655$		0			0
$656$	14.7129	−	39.3046i	0.574443	−	1.53459i
$657$	−20.5526			−0.801833
$658$	−18.6581	+	5.76652i	−0.727369	+	0.224802i
$659$		−	4.20598i		−	0.163842i	−0.996639	−	0.0819209i	$-0.973895\pi$
$659$		−	4.20598i		−	0.163842i	0.996639	−	0.0819209i	$-0.0261055\pi$
$660$		0			0
$661$	9.78997	−	5.65224i	0.380786	−	0.219847i	−0.297374	−	0.954761i	$-0.596111\pi$
$661$	9.78997	−	5.65224i	0.380786	−	0.219847i	0.678160	+	0.734914i	$0.262778\pi$
$662$	29.9744	−	5.21487i	1.16499	−	0.202682i
$663$	3.71211	+	2.14319i	0.144166	+	0.0832346i
$664$	5.01155	−	2.84790i	0.194486	−	0.110520i
$665$		0			0
$666$	2.07491	−	5.66058i	0.0804011	−	0.219343i
$667$	7.59740	−	13.1591i	0.294173	−	0.509522i
$668$	−33.5200	−	6.06817i	−1.29693	−	0.234785i
$669$	−5.20604	−	9.01713i	−0.201277	−	0.348622i
$670$		0			0
$671$	29.9197			1.15504
$672$	6.68107	−	10.1524i	0.257728	−	0.391638i
$673$			36.8435i			1.42021i	0.704095	+	0.710106i	$0.251353\pi$
$673$			36.8435i			1.42021i	−0.704095	+	0.710106i	$0.748647\pi$
$674$	0.0529572	+	0.0634049i	0.00203983	+	0.00244226i
$675$		0			0
$676$	−4.34556	+	24.0044i	−0.167137	+	0.923248i
$677$	−13.8973	+	24.0708i	−0.534115	+	0.925115i	0.465090	+	0.885263i	$0.346022\pi$
$677$	−13.8973	+	24.0708i	−0.534115	+	0.925115i	−0.999206	+	0.0398518i	$0.987311\pi$
$678$	3.85867	+	1.41441i	0.148191	+	0.0543202i
$679$	20.5649	−	2.63626i	0.789209	−	0.101170i
$680$		0			0
$681$	−1.46437	+	2.53637i	−0.0561149	+	0.0971939i
$682$	−29.8992	+	5.20179i	−1.14490	+	0.199187i
$683$	23.6203	+	40.9116i	0.903806	+	1.56544i	0.822512	+	0.568748i	$0.192572\pi$
$683$	23.6203	+	40.9116i	0.903806	+	1.56544i	0.0812945	+	0.996690i	$0.474095\pi$
$684$	−12.8499	+	4.61073i	−0.491326	+	0.176296i
$685$		0			0
$686$	−12.3831	+	23.0794i	−0.472790	+	0.881175i
$687$	−14.4446			−0.551096
$688$	−11.4100	−	4.27112i	−0.435003	−	0.162835i
$689$	−0.139448	+	0.0805103i	−0.00531254	+	0.00306720i
$690$		0			0
$691$	17.2216	−	29.8286i	0.655139	−	1.13473i	−0.326720	−	0.945121i	$-0.605943\pi$
$691$	17.2216	−	29.8286i	0.655139	−	1.13473i	0.981859	−	0.189613i	$-0.0607233\pi$
$692$	−25.1306	−	21.2830i	−0.955321	−	0.809060i
$693$	−3.82710	−	29.8544i	−0.145380	−	1.13408i
$694$	11.7029	+	4.28974i	0.444236	+	0.162836i
$695$		0			0
$696$	19.2786	+	11.3070i	0.730754	+	0.428591i
$697$	−53.5336	+	30.9076i	−2.02773	+	1.17071i
$698$	1.61872	+	1.93807i	0.0612695	+	0.0733572i
$699$	0.222559			0.00841795
$700$		0			0
$701$	−28.7191			−1.08470			−0.542352	−	0.840151i	$-0.682466\pi$
$701$	−28.7191			−1.08470			−0.542352	+	0.840151i	$0.682466\pi$
$702$	−3.52244	−	4.21736i	−0.132946	−	0.159174i
$703$	−4.60012	+	2.65588i	−0.173497	+	0.100168i
$704$	0.531794	−	38.8798i	0.0200427	−	1.46534i
$705$		0			0
$706$	36.5057	+	13.3813i	1.37391	+	0.503612i
$707$	−15.3319	+	11.6819i	−0.576616	+	0.439344i
$708$	−11.9295	+	14.0861i	−0.448338	+	0.529388i
$709$	24.7310	−	42.8354i	0.928794	−	1.60872i	0.143450	−	0.989658i	$-0.454180\pi$
$709$	24.7310	−	42.8354i	0.928794	−	1.60872i	0.785344	−	0.619060i	$-0.212486\pi$
$710$		0			0
$711$	−7.36550	+	4.25247i	−0.276228	+	0.159480i
$712$	0.0341296	−	4.99071i	0.00127906	−	0.187035i
$713$	−6.89430			−0.258193
$714$	−17.1029	+	5.28585i	−0.640058	+	0.197818i
$715$		0			0
$716$	7.22634	+	20.1394i	0.270061	+	0.752645i
$717$	9.34879	+	16.1926i	0.349137	+	0.604723i
$718$	−25.9210	+	4.50968i	−0.967364	+	0.168300i
$719$	−2.38663	+	4.13376i	−0.0890061	+	0.154163i	−0.907091	−	0.420934i	$-0.861702\pi$
$719$	−2.38663	+	4.13376i	−0.0890061	+	0.154163i	0.818085	+	0.575097i	$0.195036\pi$
$720$		0			0
$721$	−22.4818	−	9.40205i	−0.837268	−	0.350151i
$722$	−13.9352	−	5.10801i	−0.518616	−	0.190101i
$723$	1.52469	−	2.64084i	0.0567038	−	0.0982138i
$724$	−21.3846	−	3.87130i	−0.794754	−	0.143876i
$725$		0			0
$726$	9.29323	+	11.1267i	0.344904	+	0.412949i
$727$			20.9881i			0.778405i	0.921152	+	0.389202i	$0.127249\pi$
$727$			20.9881i			0.778405i	−0.921152	+	0.389202i	$0.872751\pi$
$728$	4.02678	+	5.36060i	0.149243	+	0.198677i
$729$	−2.37261			−0.0878744
$730$		0			0
$731$	8.97240	+	15.5406i	0.331856	+	0.574792i
$732$	−1.78092	+	9.83761i	−0.0658246	+	0.363608i
$733$	9.49880	−	16.4524i	0.350846	−	0.607684i	−0.635552	−	0.772058i	$-0.719227\pi$
$733$	9.49880	−	16.4524i	0.350846	−	0.607684i	0.986398	+	0.164375i	$0.0525606\pi$
$734$	−10.7002	+	29.1913i	−0.394951	+	1.07747i
$735$		0			0
$736$	1.63292	−	8.68099i	0.0601903	−	0.319986i
$737$	32.8282	+	18.9534i	1.20924	+	0.698156i
$738$	34.2156	−	5.95274i	1.25949	−	0.219123i
$739$	15.2226	−	8.78874i	0.559971	−	0.323299i	−0.193163	−	0.981167i	$-0.561875\pi$
$739$	15.2226	−	8.78874i	0.559971	−	0.323299i	0.753134	+	0.657867i	$0.228541\pi$
$740$		0			0
$741$			2.12176i			0.0779447i
$742$	0.149276	−	0.655687i	0.00548011	−	0.0240710i
$743$	−0.624385			−0.0229065			−0.0114532	−	0.999934i	$-0.503646\pi$
$743$	−0.624385			−0.0229065			−0.0114532	+	0.999934i	$0.503646\pi$
$744$	0.0693470	−	10.1405i	0.00254238	−	0.371768i
$745$		0			0
$746$	−0.788065	+	0.137106i	−0.0288531	+	0.00501979i
$747$	4.13096	+	2.38501i	0.151144	+	0.0872629i
$748$	−37.0132	+	43.7045i	−1.35334	+	1.59799i
$749$	−15.3006	+	36.5863i	−0.559073	+	1.33684i
$750$		0			0
$751$	28.7011	+	16.5706i	1.04732	+	0.604670i	0.921898	−	0.387433i	$-0.126638\pi$
$751$	28.7011	+	16.5706i	1.04732	+	0.604670i	0.125422	+	0.992103i	$0.459972\pi$
$752$	−13.2733	−	16.1146i	−0.484027	−	0.587640i
$753$	−0.188624	+	0.108902i	−0.00687384	+	0.00396862i
$754$	−9.46289	+	7.90362i	−0.344618	+	0.287833i
$755$		0			0
$756$	22.9175	+	1.18349i	0.833503	+	0.0430431i
$757$			43.9649i			1.59793i	0.601376	+	0.798966i	$0.294620\pi$
$757$			43.9649i			1.59793i	−0.601376	+	0.798966i	$0.705380\pi$
$758$	25.6825	+	30.7493i	0.932831	+	1.11686i
$759$	3.08154	+	5.33738i	0.111853	+	0.193735i
$760$		0			0
$761$	−6.43253	−	3.71382i	−0.233179	−	0.134626i	0.378859	−	0.925455i	$-0.376317\pi$
$761$	−6.43253	−	3.71382i	−0.233179	−	0.134626i	−0.612038	+	0.790829i	$0.709650\pi$
$762$	−3.03305	+	8.27450i	−0.109876	+	0.299754i
$763$	2.55149	+	3.34870i	0.0923701	+	0.121231i
$764$	−0.655554	+	0.774065i	−0.0237171	+	0.0280047i
$765$		0			0
$766$	−4.29969	+	0.748049i	−0.155354	+	0.0270281i
$767$	−5.09147	−	8.81869i	−0.183842	−	0.318424i
$768$	12.7520	+	2.48910i	0.460149	+	0.0898177i
$769$		−	17.2607i		−	0.622438i	−0.950338	−	0.311219i	$-0.899263\pi$
$769$		−	17.2607i		−	0.622438i	0.950338	−	0.311219i	$-0.100737\pi$
$770$		0			0
$771$		−	25.2426i		−	0.909089i
$772$	−14.0629	−	39.1924i	−0.506133	−	1.41057i
$773$	−17.6826	−	30.6272i	−0.636000	−	1.10158i	−0.986302	−	0.164948i	$-0.947254\pi$
$773$	−17.6826	−	30.6272i	−0.636000	−	1.10158i	0.350302	−	0.936637i	$-0.386079\pi$
$774$	−1.72807	−	9.93269i	−0.0621140	−	0.357023i
$775$		0			0
$776$	10.9508	+	19.2706i	0.393112	+	0.691773i
$777$	3.88137	−	0.497560i	0.139243	−	0.0178499i
$778$	−21.7148	−	7.95963i	−0.778512	−	0.285367i
$779$	−26.4991	−	15.2993i	−0.949430	−	0.548153i
$780$		0			0
$781$	−20.3671	−	35.2768i	−0.728792	−	1.26230i
$782$	−9.98571	+	8.34029i	−0.357088	+	0.298248i
$783$			42.2005i			1.50812i
$784$	−27.8511	−	2.88421i	−0.994681	−	0.103008i
$785$		0			0
$786$	14.6557	+	17.5471i	0.522753	+	0.625885i
$787$	−9.69103	+	5.59512i	−0.345448	+	0.199444i	−0.662678	−	0.748904i	$-0.730580\pi$
$787$	−9.69103	+	5.59512i	−0.345448	+	0.199444i	0.317231	+	0.948348i	$0.397247\pi$
$788$	−17.4385	−	3.15691i	−0.621220	−	0.112460i
$789$	19.5827	+	11.3061i	0.697164	+	0.402508i
$790$		0			0
$791$	−1.20390	−	9.39140i	−0.0428058	−	0.333920i
$792$	27.9754	−	15.8975i	0.994062	−	0.564894i
$793$	−4.77628	−	2.75759i	−0.169611	−	0.0979248i
$794$	1.89669	+	10.9019i	0.0673109	+	0.386894i
$795$		0			0
$796$	−43.7042	+	15.6818i	−1.54906	+	0.555825i
$797$	9.18543			0.325365			0.162682	−	0.986679i	$-0.447985\pi$
$797$	9.18543			0.325365			0.162682	+	0.986679i	$0.447985\pi$
$798$	−6.49891	−	6.02345i	−0.230059	−	0.213228i
$799$			30.7504i			1.08787i
$800$		0			0
$801$	3.57670	−	2.06501i	0.126377	−	0.0729636i
$802$	4.79652	+	27.5697i	0.169371	+	0.973521i
$803$	−36.9613	−	21.3396i	−1.30433	−	0.753058i
$804$	−8.18590	+	9.66574i	−0.288694	+	0.340884i
$805$		0			0
$806$	5.25243	+	1.92530i	0.185009	+	0.0678157i
$807$	0.586638	−	1.01609i	0.0206506	−	0.0357680i
$808$	−17.7745	−	10.4248i	−0.625306	−	0.366745i
$809$	−0.0848856	−	0.147026i	−0.00298442	−	0.00516917i	0.864529	−	0.502582i	$-0.167617\pi$
$809$	−0.0848856	−	0.147026i	−0.00298442	−	0.00516917i	−0.867514	+	0.497413i	$0.834283\pi$
$810$		0			0
$811$	−38.6906			−1.35861			−0.679306	−	0.733855i	$-0.737719\pi$
$811$	−38.6906			−1.35861			−0.679306	+	0.733855i	$0.737719\pi$
$812$	2.65550	−	51.4222i	0.0931899	−	1.80457i
$813$			11.3638i			0.398547i
$814$	9.60880	−	8.02549i	0.336788	−	0.281293i
$815$		0			0
$816$	−12.1669	−	14.7714i	−0.425926	−	0.517101i
$817$	−4.44134	+	7.69262i	−0.155383	+	0.269131i
$818$	12.3146	−	33.5957i	0.430571	−	1.17465i
$819$	−2.14062	+	5.11859i	−0.0747995	+	0.178858i
$820$		0			0
$821$	−16.9114	+	29.2914i	−0.590213	+	1.02228i	0.403991	+	0.914763i	$0.367623\pi$
$821$	−16.9114	+	29.2914i	−0.590213	+	1.02228i	−0.994203	+	0.107515i	$0.965710\pi$
$822$	−1.73931	−	9.99730i	−0.0606653	−	0.348696i
$823$	−5.21506	−	9.03275i	−0.181786	−	0.314862i	0.760703	−	0.649100i	$-0.224854\pi$
$823$	−5.21506	−	9.03275i	−0.181786	−	0.314862i	−0.942489	+	0.334238i	$0.891521\pi$
$824$	0.178150	−	26.0506i	0.00620616	−	0.907515i
$825$		0			0
$826$	41.4657	+	9.44024i	1.44277	+	0.328468i
$827$	−10.1110			−0.351594			−0.175797	−	0.984426i	$-0.556250\pi$
$827$	−10.1110			−0.351594			−0.175797	+	0.984426i	$0.556250\pi$
$828$	6.88020	−	2.46872i	0.239104	−	0.0857941i
$829$	−6.66205	+	3.84634i	−0.231383	+	0.133589i	−0.611210	−	0.791469i	$-0.709317\pi$
$829$	−6.66205	+	3.84634i	−0.231383	+	0.133589i	0.379827	+	0.925058i	$0.375983\pi$
$830$		0			0
$831$	7.51686	−	13.0196i	0.260757	−	0.451645i
$832$	−3.66829	+	6.15761i	−0.127175	+	0.213477i
$833$	28.9630	+	29.3599i	1.00351	+	1.01726i
$834$	−3.12744	+	8.53200i	−0.108294	+	0.295439i
$835$		0			0
$836$	−27.8961	−	5.05008i	−0.964808	−	0.174661i
$837$	16.5822	−	9.57376i	0.573166	−	0.330918i
$838$	−18.1052	+	15.1219i	−0.625434	+	0.522376i
$839$	46.1347			1.59275			0.796373	−	0.604806i	$-0.206749\pi$
$839$	46.1347			1.59275			0.796373	+	0.604806i	$0.206749\pi$
$840$		0			0
$841$	65.6893			2.26515
$842$	−3.40067	+	2.84032i	−0.117195	+	0.0978838i
$843$	−6.33524	+	3.65765i	−0.218197	+	0.125976i
$844$	−12.2232	−	2.21278i	−0.420739	−	0.0761670i
$845$		0			0
$846$	5.94588	−	16.2210i	0.204423	−	0.557690i
$847$	12.8863	−	30.8133i	0.442778	−	1.05876i
$848$	0.709083	−	0.118374i	0.0243500	−	0.00406500i
$849$	−11.0824	+	19.1952i	−0.380346	+	0.658778i
$850$		0			0
$851$	2.46305	−	1.42204i	0.0844321	−	0.0487469i
$852$	12.8113	−	4.59691i	0.438909	−	0.157487i
$853$	−29.1420			−0.997804			−0.498902	−	0.866658i	$-0.666263\pi$
$853$	−29.1420			−0.997804			−0.498902	+	0.866658i	$0.666263\pi$
$854$	22.0058	−	6.80117i	0.753023	−	0.232731i
$855$		0			0
$856$	−42.3940	−	0.289917i	−1.44900	−	0.00990916i
$857$	−6.08543	−	10.5403i	−0.207874	−	0.360049i	0.743170	−	0.669102i	$-0.233321\pi$
$857$	−6.08543	−	10.5403i	−0.207874	−	0.360049i	−0.951045	+	0.309053i	$0.899988\pi$
$858$	−0.857159	−	4.92684i	−0.0292629	−	0.168200i
$859$	2.45770	−	4.25686i	0.0838555	−	0.145242i	−0.821047	−	0.570860i	$-0.806610\pi$
$859$	2.45770	−	4.25686i	0.0838555	−	0.145242i	0.904903	+	0.425618i	$0.139943\pi$
$860$		0			0
$861$	13.6616	+	17.9301i	0.465585	+	0.611057i
$862$	13.2349	−	36.1062i	0.450781	−	1.22978i
$863$	10.7135	−	18.5564i	0.364692	−	0.631666i	−0.624034	−	0.781397i	$-0.714507\pi$
$863$	10.7135	−	18.5564i	0.364692	−	0.631666i	0.988727	+	0.149731i	$0.0478408\pi$
$864$	8.12733	+	23.1472i	0.276498	+	0.787483i
$865$		0			0
$866$	−34.7556	+	29.0286i	−1.18104	+	0.986433i
$867$			14.3824i			0.488453i
$868$	−20.8083	+	10.6224i	−0.706278	+	0.360547i
$869$	−17.6612			−0.599116
$870$		0			0
$871$	−3.49371	−	6.05129i	−0.118380	−	0.205040i
$872$	−2.27693	+	3.88220i	−0.0771065	+	0.131468i
$873$	−9.17091	+	15.8845i	−0.310388	+	0.537608i
$874$	−6.04680	−	2.21648i	−0.204536	−	0.0749735i
$875$		0			0
$876$	9.21650	−	10.8827i	0.311397	−	0.367691i
$877$	20.9794	+	12.1125i	0.708424	+	0.409009i	0.810477	−	0.585770i	$-0.199208\pi$
$877$	20.9794	+	12.1125i	0.708424	+	0.409009i	−0.102053	+	0.994779i	$0.532541\pi$
$878$	4.87232	+	28.0055i	0.164433	+	0.945138i
$879$	−7.47767	+	4.31723i	−0.252216	+	0.145617i
$880$		0			0
$881$		−	30.4932i		−	1.02734i	−0.857987	−	0.513671i	$-0.828285\pi$
$881$		−	30.4932i		−	1.02734i	0.857987	−	0.513671i	$-0.171715\pi$
$882$	−9.60114	−	21.0878i	−0.323287	−	0.710064i
$883$	−0.362622			−0.0122032			−0.00610160	−	0.999981i	$-0.501942\pi$
$883$	−0.362622			−0.0122032			−0.00610160	+	0.999981i	$0.501942\pi$
$884$	9.93673	−	3.56545i	0.334208	−	0.119919i
$885$		0			0
$886$	−3.61099	−	20.7555i	−0.121313	−	0.697294i
$887$	32.6816	+	18.8687i	1.09734	+	0.633550i	0.935521	−	0.353270i	$-0.114930\pi$
$887$	32.6816	+	18.8687i	1.09734	+	0.633550i	0.161820	+	0.986820i	$0.448264\pi$
$888$	2.06683	+	3.63707i	0.0693584	+	0.122052i
$889$	20.1388	−	2.58163i	0.675434	−	0.0865852i
$890$		0			0
$891$	14.7329	+	8.50603i	0.493570	+	0.284963i
$892$	−25.2341	−	4.56816i	−0.844899	−	0.152953i
$893$	−13.1822	+	7.61072i	−0.441124	+	0.254683i
$894$	−1.26843	−	1.51867i	−0.0424225	−	0.0507918i
$895$		0			0
$896$	−8.44678	−	28.7168i	−0.282187	−	0.959359i
$897$		−	1.13605i		−	0.0379317i
$898$	−6.71442	+	5.60804i	−0.224063	+	0.187143i
$899$	−21.4815	−	37.2071i	−0.716450	−	1.24093i
$900$		0			0
$901$	−0.917007	−	0.529434i	−0.0305499	−	0.0176380i
$902$	67.7131	+	24.8205i	2.25460	+	0.826432i
$903$	5.20507	−	3.96592i	0.173214	−	0.131978i
$904$	8.80030	−	5.00093i	0.292694	−	0.166328i
$905$		0			0
$906$	−0.160253	−	0.921111i	−0.00532403	−	0.0306018i
$907$	2.54710	+	4.41171i	0.0845752	+	0.146489i	0.905210	−	0.424964i	$-0.139713\pi$
$907$	2.54710	+	4.41171i	0.0845752	+	0.146489i	−0.820635	+	0.571453i	$0.806380\pi$
$908$	2.43616	+	6.78945i	0.0808469	+	0.225316i
$909$		−	17.0520i		−	0.565580i
$910$		0			0
$911$			4.73127i			0.156754i	0.996924	+	0.0783769i	$0.0249738\pi$
$911$			4.73127i			0.156754i	−0.996924	+	0.0783769i	$0.975026\pi$
$912$	3.32093	−	8.87164i	0.109967	−	0.293770i
$913$	4.95267	+	8.57828i	0.163910	+	0.283900i
$914$	−32.5336	+	5.66012i	−1.07612	+	0.187220i
$915$		0			0
$916$	−22.9918	+	27.1483i	−0.759671	+	0.897004i
$917$	20.3221	−	48.5936i	0.671096	−	1.60470i
$918$	12.4360	−	33.9268i	0.410449	−	1.11975i
$919$	−25.6239	−	14.7939i	−0.845254	−	0.488007i	0.0137930	−	0.999905i	$-0.495609\pi$
$919$	−25.6239	−	14.7939i	−0.845254	−	0.488007i	−0.859047	+	0.511898i	$0.828943\pi$
$920$		0			0
$921$	7.30073	+	12.6452i	0.240567	+	0.416675i
$922$	15.7815	+	18.8950i	0.519737	+	0.622273i
$923$			7.50862i			0.247149i
$924$	17.5242	+	11.3613i	0.576505	+	0.373760i
$925$		0			0
$926$	−1.04473	+	0.872579i	−0.0343318	+	0.0286747i
$927$	18.6697	−	10.7790i	0.613195	−	0.354028i
$928$	51.9375	−	18.2361i	1.70493	−	0.598628i
$929$	−0.232942	−	0.134489i	−0.00764257	−	0.00441244i	0.496174	−	0.868223i	$-0.334738\pi$
$929$	−0.232942	−	0.134489i	−0.00764257	−	0.00441244i	−0.503816	+	0.863811i	$0.668071\pi$
$930$		0			0
$931$	−5.41776	+	19.6825i	−0.177560	+	0.645069i
$932$	0.354252	−	0.418294i	0.0116039	−	0.0137017i
$933$	19.9131	+	11.4968i	0.651924	+	0.376389i
$934$	0.405419	−	0.0705338i	0.0132657	−	0.00230794i
$935$		0			0
$936$	−5.93110	−	0.0405606i	−0.193864	−	0.00132577i
$937$	32.3858			1.05800			0.528999	−	0.848623i	$-0.322568\pi$
$937$	32.3858			1.05800			0.528999	+	0.848623i	$0.322568\pi$
$938$	28.4533	+	6.47780i	0.929033	+	0.211508i
$939$			4.54334i			0.148266i
$940$		0			0
$941$	−14.7440	+	8.51248i	−0.480642	+	0.277499i	−0.720684	−	0.693264i	$-0.756172\pi$
$941$	−14.7440	+	8.51248i	−0.480642	+	0.277499i	0.240042	+	0.970763i	$0.422839\pi$
$942$	−15.1102	+	2.62884i	−0.492318	+	0.0856523i
$943$	14.1884	+	8.19170i	0.462039	+	0.266758i
$944$	7.48600	+	44.8424i	0.243649	+	1.45950i
$945$		0			0
$946$	7.20533	−	19.6569i	0.234265	−	0.639102i
$947$	0.183088	−	0.317117i	0.00594955	−	0.0103049i	−0.863035	−	0.505144i	$-0.831440\pi$
$947$	0.183088	−	0.317117i	0.00594955	−	0.0103049i	0.868985	+	0.494839i	$0.164773\pi$
$948$	1.05125	−	5.80701i	0.0341431	−	0.188603i
$949$	3.93357	+	6.81315i	0.127689	+	0.221164i
$950$		0			0
$951$	−25.4553			−0.825444
$952$	−17.2884	+	40.5580i	−0.560321	+	1.31449i
$953$		−	28.7452i		−	0.931148i	−0.885009	−	0.465574i	$-0.845848\pi$
$953$		−	28.7452i		−	0.931148i	0.885009	−	0.465574i	$-0.154152\pi$
$954$	0.381356	+	0.456592i	0.0123469	+	0.0147827i
$955$		0			0
$956$	45.3142	+	8.20330i	1.46557	+	0.265314i
$957$	−19.2032	+	33.2609i	−0.620751	+	1.07517i
$958$	26.2771	+	9.63196i	0.848973	+	0.311194i
$959$	−18.5956	+	14.1686i	−0.600483	+	0.457529i
$960$		0			0
$961$	5.75324	−	9.96490i	0.185588	−	0.321448i
$962$	−2.27359	+	0.395554i	−0.0733035	+	0.0127532i
$963$	−17.5414	−	30.3826i	−0.565264	−	0.979067i
$964$	−2.53650	−	7.06910i	−0.0816953	−	0.227680i
$965$		0			0
$966$	3.47972	+	3.22514i	0.111958	+	0.103767i
$967$	38.1396			1.22649			0.613243	−	0.789895i	$-0.289865\pi$
$967$	38.1396			1.22649			0.613243	+	0.789895i	$0.289865\pi$
$968$	35.7045	+	0.244170i	1.14759	+	0.00784793i
$969$	−12.0833	+	6.97632i	−0.388173	+	0.224112i
$970$		0			0
$971$	−2.80103	+	4.85153i	−0.0898895	+	0.155693i	−0.907464	−	0.420129i	$-0.861985\pi$
$971$	−2.80103	+	4.85153i	−0.0898895	+	0.155693i	0.817575	+	0.575822i	$0.195318\pi$
$972$	−20.4902	+	24.1944i	−0.657224	+	0.776036i
$973$	20.7655	−	2.66197i	0.665712	−	0.0853389i
$974$	−30.0373	−	11.0103i	−0.962458	−	0.352793i
$975$		0			0
$976$	15.6548	+	19.0059i	0.501098	+	0.608366i
$977$	−36.0007	+	20.7850i	−1.15176	+	0.664972i	−0.949317	−	0.314321i	$-0.898223\pi$
$977$	−36.0007	+	20.7850i	−1.15176	+	0.664972i	−0.202448	+	0.979293i	$0.564890\pi$
$978$	6.60868	+	7.91248i	0.211322	+	0.253013i
$979$	8.57634			0.274101
$980$		0			0
$981$	−3.72439			−0.118911
$982$	35.3167	+	42.2842i	1.12700	+	1.34934i
$983$	−39.0742	+	22.5595i	−1.24627	+	0.719536i	−0.970364	−	0.241647i	$-0.922312\pi$
$983$	−39.0742	+	22.5595i	−1.24627	+	0.719536i	−0.275909	+	0.961184i	$0.588979\pi$
$984$	−12.1915	+	20.7867i	−0.388650	+	0.662655i
$985$		0			0
$986$	−76.1248	−	27.9038i	−2.42431	−	0.888639i
$987$	11.1225	−	1.42581i	0.354033	−	0.0453842i
$988$	3.98779	+	3.37725i	0.126869	+	0.107445i
$989$	2.37803	−	4.11887i	0.0756169	−	0.130972i
$990$		0			0
$991$	−22.2587	+	12.8510i	−0.707069	+	0.408227i	−0.809975	−	0.586464i	$-0.800519\pi$
$991$	−22.2587	+	12.8510i	−0.707069	+	0.408227i	0.102906	+	0.994691i	$0.467186\pi$
$992$	−18.9484	−	16.2712i	−0.601612	−	0.516611i
$993$	−17.4699			−0.554389
$994$	−22.9988	−	21.3162i	−0.729478	−	0.676109i
$995$		0			0
$996$	−3.11534	+	1.11783i	−0.0987132	+	0.0354198i
$997$	−14.9574	−	25.9069i	−0.473705	−	0.820481i	0.525842	−	0.850582i	$-0.323750\pi$
$997$	−14.9574	−	25.9069i	−0.473705	−	0.820481i	−0.999547	+	0.0301015i	$0.990417\pi$
$998$	−52.4688	+	9.12839i	−1.66087	+	0.288954i
$999$	−3.94943	+	6.84061i	−0.124954	+	0.216427i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	700.2.t.c.299.4		32
4.3	odd	2	inner	700.2.t.c.299.8		32
5.2	odd	4		700.2.p.c.551.5		32
5.3	odd	4		140.2.o.a.131.12	yes	32
5.4	even	2		700.2.t.d.299.13		32
7.3	odd	6		700.2.t.d.199.9		32
20.3	even	4		140.2.o.a.131.1	yes	32
20.7	even	4		700.2.p.c.551.16		32
20.19	odd	2		700.2.t.d.299.9		32
28.3	even	6		700.2.t.d.199.13		32
35.3	even	12		140.2.o.a.31.1	✓	32
35.13	even	4		980.2.o.f.411.12		32
35.17	even	12		700.2.p.c.451.16		32
35.18	odd	12		980.2.o.f.31.1		32
35.23	odd	12		980.2.g.a.391.21		32
35.24	odd	6	inner	700.2.t.c.199.8		32
35.33	even	12		980.2.g.a.391.22		32
140.3	odd	12		140.2.o.a.31.12	yes	32
140.23	even	12		980.2.g.a.391.24		32
140.59	even	6	inner	700.2.t.c.199.4		32
140.83	odd	4		980.2.o.f.411.1		32
140.87	odd	12		700.2.p.c.451.5		32
140.103	odd	12		980.2.g.a.391.23		32
140.123	even	12		980.2.o.f.31.12		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
140.2.o.a.31.1	✓	32	35.3	even	12
140.2.o.a.31.12	yes	32	140.3	odd	12
140.2.o.a.131.1	yes	32	20.3	even	4
140.2.o.a.131.12	yes	32	5.3	odd	4
700.2.p.c.451.5		32	140.87	odd	12
700.2.p.c.451.16		32	35.17	even	12
700.2.p.c.551.5		32	5.2	odd	4
700.2.p.c.551.16		32	20.7	even	4
700.2.t.c.199.4		32	140.59	even	6	inner
700.2.t.c.199.8		32	35.24	odd	6	inner
700.2.t.c.299.4		32	1.1	even	1	trivial
700.2.t.c.299.8		32	4.3	odd	2	inner
700.2.t.d.199.9		32	7.3	odd	6
700.2.t.d.199.13		32	28.3	even	6
700.2.t.d.299.9		32	20.19	odd	2
700.2.t.d.299.13		32	5.4	even	2
980.2.g.a.391.21		32	35.23	odd	12
980.2.g.a.391.22		32	35.33	even	12
980.2.g.a.391.23		32	140.103	odd	12
980.2.g.a.391.24		32	140.23	even	12
980.2.o.f.31.1		32	35.18	odd	12
980.2.o.f.31.12		32	140.123	even	12
980.2.o.f.411.1		32	140.83	odd	4
980.2.o.f.411.12		32	35.13	even	4

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 700 = 2^{2} \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	700.t (of order \(6\), degree \(2\), not minimal)

\(f(q)\)	\(=\)	\(q+(-1.08542 + 0.906567i) q^{2} +(0.703249 - 0.406021i) q^{3} +(0.356272 - 1.96801i) q^{4} +(-0.395235 + 1.07825i) q^{6} +(2.62428 - 0.336411i) q^{7} +(1.39743 + 2.45910i) q^{8} +(-1.17029 + 2.02701i) q^{9} +O(q^{10})\)	\(q+(-1.08542 + 0.906567i) q^{2} +(0.703249 - 0.406021i) q^{3} +(0.356272 - 1.96801i) q^{4} +(-0.395235 + 1.07825i) q^{6} +(2.62428 - 0.336411i) q^{7} +(1.39743 + 2.45910i) q^{8} +(-1.17029 + 2.02701i) q^{9} +(-4.20925 + 2.43021i) q^{11} +(-0.548506 - 1.52866i) q^{12} +0.895933 q^{13} +(-2.54346 + 2.74423i) q^{14} +(-3.74614 - 1.40230i) q^{16} +(2.94582 + 5.10231i) q^{17} +(-0.567359 - 3.26111i) q^{18} +(-1.45818 + 2.52565i) q^{19} +(1.70893 - 1.30209i) q^{21} +(2.36566 - 6.45377i) q^{22} +(0.780755 - 1.35231i) q^{23} +(1.98119 + 1.16198i) q^{24} +(-0.972464 + 0.812224i) q^{26} +4.33678i q^{27} +(0.272896 - 5.28446i) q^{28} +9.73084 q^{29} +(-2.20757 - 3.82363i) q^{31} +(5.33741 - 1.87405i) q^{32} +(-1.97344 + 3.41809i) q^{33} +(-7.82304 - 2.86757i) q^{34} +(3.57223 + 3.02532i) q^{36} +(1.57735 + 0.910682i) q^{37} +(-0.706927 - 4.06333i) q^{38} +(0.630064 - 0.363768i) q^{39} +10.4920i q^{41} +(-0.674472 + 2.96258i) q^{42} +3.04581 q^{43} +(3.28305 + 9.14968i) q^{44} +(0.378510 + 2.17563i) q^{46} +(4.52006 + 2.60966i) q^{47} +(-3.20383 + 0.534848i) q^{48} +(6.77366 - 1.76567i) q^{49} +(4.14329 + 2.39213i) q^{51} +(0.319196 - 1.76321i) q^{52} +(-0.155645 + 0.0898619i) q^{53} +(-3.93158 - 4.70723i) q^{54} +(4.49451 + 5.98326i) q^{56} +2.36821i q^{57} +(-10.5620 + 8.82166i) q^{58} +(-5.68287 - 9.84302i) q^{59} +(-5.33107 - 3.07789i) q^{61} +(5.86252 + 2.14893i) q^{62} +(-2.38927 + 5.71313i) q^{63} +(-4.09438 + 6.87285i) q^{64} +(-0.956722 - 5.49911i) q^{66} +(-3.89952 - 6.75417i) q^{67} +(11.0909 - 3.97960i) q^{68} -1.26801i q^{69} +8.38078i q^{71} +(-6.62003 - 0.0452719i) q^{72} +(4.39048 + 7.60453i) q^{73} +(-2.53768 + 0.441499i) q^{74} +(4.45099 + 3.76954i) q^{76} +(-10.2287 + 7.79359i) q^{77} +(-0.354104 + 0.966036i) q^{78} +(3.14686 + 1.81684i) q^{79} +(-1.75006 - 3.03119i) q^{81} +(-9.51172 - 11.3882i) q^{82} -2.03796i q^{83} +(-1.95369 - 3.82709i) q^{84} +(-3.30598 + 2.76123i) q^{86} +(6.84320 - 3.95092i) q^{87} +(-11.8583 - 6.95494i) q^{88} +(-1.52812 - 0.882262i) q^{89} +(2.35118 - 0.301402i) q^{91} +(-2.38320 - 2.01832i) q^{92} +(-3.10495 - 1.79264i) q^{93} +(-7.27200 + 1.26516i) q^{94} +(2.99262 - 3.48502i) q^{96} +7.83641 q^{97} +(-5.75156 + 8.05727i) q^{98} -11.3763i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q + 2 q^{4} + 16 q^{9}+O(q^{10}) \) 32 * q + 2 * q^4 + 16 * q^9	\( 32 q + 2 q^{4} + 16 q^{9} - 14 q^{12} - 8 q^{13} - 2 q^{14} - 14 q^{16} + 54 q^{18} - 12 q^{21} - 36 q^{24} + 30 q^{26} + 32 q^{28} + 40 q^{29} + 60 q^{32} - 24 q^{33} + 60 q^{36} - 60 q^{37} - 46 q^{38} + 78 q^{42} + 18 q^{44} + 2 q^{46} - 28 q^{48} + 16 q^{49} - 46 q^{52} - 12 q^{53} - 12 q^{54} - 4 q^{56} + 42 q^{58} + 24 q^{61} + 8 q^{62} - 4 q^{64} + 24 q^{66} - 4 q^{68} + 90 q^{72} - 24 q^{73} - 38 q^{74} + 20 q^{77} - 36 q^{81} + 8 q^{82} + 20 q^{84} + 28 q^{86} - 78 q^{88} + 60 q^{89} + 72 q^{93} - 18 q^{94} - 60 q^{96} - 48 q^{97} - 124 q^{98}+O(q^{100}) \) 32 * q + 2 * q^4 + 16 * q^9 - 14 * q^12 - 8 * q^13 - 2 * q^14 - 14 * q^16 + 54 * q^18 - 12 * q^21 - 36 * q^24 + 30 * q^26 + 32 * q^28 + 40 * q^29 + 60 * q^32 - 24 * q^33 + 60 * q^36 - 60 * q^37 - 46 * q^38 + 78 * q^42 + 18 * q^44 + 2 * q^46 - 28 * q^48 + 16 * q^49 - 46 * q^52 - 12 * q^53 - 12 * q^54 - 4 * q^56 + 42 * q^58 + 24 * q^61 + 8 * q^62 - 4 * q^64 + 24 * q^66 - 4 * q^68 + 90 * q^72 - 24 * q^73 - 38 * q^74 + 20 * q^77 - 36 * q^81 + 8 * q^82 + 20 * q^84 + 28 * q^86 - 78 * q^88 + 60 * q^89 + 72 * q^93 - 18 * q^94 - 60 * q^96 - 48 * q^97 - 124 * q^98

Introduction

L-functions

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