LMFDB - Embedded newform 770.2.w.b.139.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [770,2,Mod(139,770)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(770, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 5, 7]))

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

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

chi := DirichletCharacter("770.139");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 770 = 2 \cdot 5 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	770.w (of order $10$, degree $4$, 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:	$6.14848095564$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$24$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			139.7
Character	$\chi$	$=$	770.139
Dual form			770.2.w.b.349.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.809017 + 0.587785i) q^{2} +(-0.463552 + 1.42667i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.665551 + 2.13472i) q^{5} +(-1.21359 + 0.881728i) q^{6} +(0.576225 + 2.58224i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(0.606556 + 0.440689i) q^{9} +O(q^{10})$	\(q+(0.809017 + 0.587785i) q^{2} +(-0.463552 + 1.42667i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.665551 + 2.13472i) q^{5} +(-1.21359 + 0.881728i) q^{6} +(0.576225 + 2.58224i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(0.606556 + 0.440689i) q^{9} +(-1.79320 + 1.33583i) q^{10} +(3.30041 - 0.327560i) q^{11} -1.50009 q^{12} +(0.191420 - 0.263467i) q^{13} +(-1.05163 + 2.42777i) q^{14} +(-2.73702 - 1.93907i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(0.316463 + 0.435574i) q^{17} +(0.231684 + 0.713050i) q^{18} +(0.758164 - 2.33339i) q^{19} +(-2.23591 + 0.0266895i) q^{20} +(-3.95110 - 0.374922i) q^{21} +(2.86262 + 1.67493i) q^{22} -4.70703i q^{23} +(-1.21359 - 0.881728i) q^{24} +(-4.11408 - 2.84153i) q^{25} +(0.309724 - 0.100636i) q^{26} +(-4.55067 + 3.30625i) q^{27} +(-2.27779 + 1.34598i) q^{28} +(-2.28218 + 0.741525i) q^{29} +(-1.07454 - 3.17752i) q^{30} +(0.248208 - 0.341629i) q^{31} -1.00000 q^{32} +(-1.06259 + 4.86042i) q^{33} +0.538400i q^{34} +(-5.89587 - 0.488531i) q^{35} +(-0.231684 + 0.713050i) q^{36} +(3.07763 - 0.999984i) q^{37} +(1.98490 - 1.44211i) q^{38} +(0.287147 + 0.395224i) q^{39} +(-1.82458 - 1.29264i) q^{40} +(1.25713 - 3.86905i) q^{41} +(-2.97614 - 2.62572i) q^{42} -0.787474 q^{43} +(1.33141 + 3.03765i) q^{44} +(-1.34444 + 1.00153i) q^{45} +(2.76672 - 3.80807i) q^{46} +(-1.98291 + 6.10277i) q^{47} +(-0.463552 - 1.42667i) q^{48} +(-6.33593 + 2.97590i) q^{49} +(-1.65815 - 4.71705i) q^{50} +(-0.768116 + 0.249576i) q^{51} +(0.309724 + 0.100636i) q^{52} +(5.90889 - 8.13289i) q^{53} -5.62494 q^{54} +(-1.49734 + 7.26347i) q^{55} +(-2.63392 - 0.249934i) q^{56} +(2.97752 + 2.16329i) q^{57} +(-2.28218 - 0.741525i) q^{58} +(3.34774 - 1.08775i) q^{59} +(0.998383 - 3.20227i) q^{60} +(2.60559 - 1.89307i) q^{61} +(0.401609 - 0.130491i) q^{62} +(-0.788452 + 1.82021i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(0.435030 + 0.583980i) q^{65} +(-3.71654 + 3.30759i) q^{66} +3.10205i q^{67} +(-0.316463 + 0.435574i) q^{68} +(6.71536 + 2.18195i) q^{69} +(-4.48271 - 3.86074i) q^{70} +(-4.55615 + 3.31024i) q^{71} +(-0.606556 + 0.440689i) q^{72} +(13.4882 - 4.38258i) q^{73} +(3.07763 + 0.999984i) q^{74} +(5.96101 - 4.55223i) q^{75} +2.45347 q^{76} +(2.74762 + 8.33370i) q^{77} +0.488523i q^{78} +(0.136261 - 0.187547i) q^{79} +(-0.716317 - 2.11823i) q^{80} +(-1.91240 - 5.88575i) q^{81} +(3.29121 - 2.39121i) q^{82} +(6.56779 + 9.03978i) q^{83} +(-0.864387 - 3.87358i) q^{84} +(-1.14045 + 0.385665i) q^{85} +(-0.637080 - 0.462866i) q^{86} -3.59964i q^{87} +(-0.708354 + 3.24010i) q^{88} -9.96145i q^{89} +(-1.67636 + 0.0200103i) q^{90} +(0.790637 + 0.342477i) q^{91} +(4.47665 - 1.45455i) q^{92} +(0.372333 + 0.512472i) q^{93} +(-5.19133 + 3.77172i) q^{94} +(4.47654 + 3.17146i) q^{95} +(0.463552 - 1.42667i) q^{96} +(9.86605 + 7.16810i) q^{97} +(-6.87507 - 1.31661i) q^{98} +(2.14624 + 1.25577i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q + 24 q^{2} - 24 q^{4} + 3 q^{7} + 24 q^{8} - 18 q^{9}+O(q^{10}) $ 96 * q + 24 * q^2 - 24 * q^4 + 3 * q^7 + 24 * q^8 - 18 * q^9	$ 96 q + 24 q^{2} - 24 q^{4} + 3 q^{7} + 24 q^{8} - 18 q^{9} + 4 q^{11} - 3 q^{14} - 6 q^{15} - 24 q^{16} + 28 q^{18} - 4 q^{22} + 38 q^{25} - 2 q^{28} + 6 q^{30} - 96 q^{32} + 46 q^{35} - 28 q^{36} + 10 q^{39} - 24 q^{43} - 16 q^{44} + 37 q^{49} - 8 q^{50} - 30 q^{51} + 40 q^{53} + 2 q^{56} - 20 q^{57} + 14 q^{60} + 63 q^{63} - 24 q^{64} - 40 q^{65} + 39 q^{70} - 20 q^{71} + 18 q^{72} - 16 q^{77} - 126 q^{81} + 60 q^{85} - 36 q^{86} - 14 q^{88} - 31 q^{91} - 10 q^{92} + 20 q^{93} - 44 q^{95} + 18 q^{98} + 100 q^{99}+O(q^{100}) $ 96 * q + 24 * q^2 - 24 * q^4 + 3 * q^7 + 24 * q^8 - 18 * q^9 + 4 * q^11 - 3 * q^14 - 6 * q^15 - 24 * q^16 + 28 * q^18 - 4 * q^22 + 38 * q^25 - 2 * q^28 + 6 * q^30 - 96 * q^32 + 46 * q^35 - 28 * q^36 + 10 * q^39 - 24 * q^43 - 16 * q^44 + 37 * q^49 - 8 * q^50 - 30 * q^51 + 40 * q^53 + 2 * q^56 - 20 * q^57 + 14 * q^60 + 63 * q^63 - 24 * q^64 - 40 * q^65 + 39 * q^70 - 20 * q^71 + 18 * q^72 - 16 * q^77 - 126 * q^81 + 60 * q^85 - 36 * q^86 - 14 * q^88 - 31 * q^91 - 10 * q^92 + 20 * q^93 - 44 * q^95 + 18 * q^98 + 100 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/770\mathbb{Z}\right)^\times$.

$n$	$211$	$617$	$661$
$\chi(n)$	$e\left(\frac{7}{10}\right)$	$-1$	$-1$

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 $

$2$	0.809017	+	0.587785i	0.572061	+	0.415627i
$2$	0.809017	+	0.587785i	0.572061	+	0.415627i
$3$	−0.463552	+	1.42667i	−0.267632	+	0.823686i	0.723444	+	0.690383i	$0.242558\pi$
$3$	−0.463552	+	1.42667i	−0.267632	+	0.823686i	−0.991075	+	0.133302i	$0.957442\pi$
$4$	0.309017	+	0.951057i	0.154508	+	0.475528i
$5$	−0.665551	+	2.13472i	−0.297643	+	0.954677i
$5$	−0.665551	+	2.13472i	−0.297643	+	0.954677i
$6$	−1.21359	+	0.881728i	−0.495448	+	0.359964i
$7$	0.576225	+	2.58224i	0.217793	+	0.975995i
$7$	0.576225	+	2.58224i	0.217793	+	0.975995i
$8$	−0.309017	+	0.951057i	−0.109254	+	0.336249i
$9$	0.606556	+	0.440689i	0.202185	+	0.146896i
$10$	−1.79320	+	1.33583i	−0.567060	+	0.422425i
$11$	3.30041	−	0.327560i	0.995111	−	0.0987632i
$11$	3.30041	−	0.327560i	0.995111	−	0.0987632i
$12$	−1.50009			−0.433037
$13$	0.191420	−	0.263467i	0.0530904	−	0.0730727i	−0.781646	−	0.623722i	$-0.785620\pi$
$13$	0.191420	−	0.263467i	0.0530904	−	0.0730727i	0.834737	+	0.550649i	$0.185620\pi$
$14$	−1.05163	+	2.42777i	−0.281059	+	0.648850i
$15$	−2.73702	−	1.93907i	−0.706695	−	0.500666i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	0.316463	+	0.435574i	0.0767536	+	0.105642i	0.845668	−	0.533710i	$-0.179203\pi$
$17$	0.316463	+	0.435574i	0.0767536	+	0.105642i	−0.768914	+	0.639352i	$0.779203\pi$
$18$	0.231684	+	0.713050i	0.0546084	+	0.168067i
$19$	0.758164	−	2.33339i	0.173935	−	0.535316i	−0.825649	−	0.564185i	$-0.809191\pi$
$19$	0.758164	−	2.33339i	0.173935	−	0.535316i	0.999583	+	0.0288690i	$0.00919056\pi$
$20$	−2.23591	+	0.0266895i	−0.499964	+	0.00596795i
$21$	−3.95110	−	0.374922i	−0.862202	−	0.0818146i
$22$	2.86262	+	1.67493i	0.610313	+	0.357096i
$23$		−	4.70703i		−	0.981484i	−0.871305	−	0.490742i	$-0.836726\pi$
$23$		−	4.70703i		−	0.981484i	0.871305	−	0.490742i	$-0.163274\pi$
$24$	−1.21359	−	0.881728i	−0.247724	−	0.179982i
$25$	−4.11408	−	2.84153i	−0.822817	−	0.568306i
$26$	0.309724	−	0.100636i	0.0607420	−	0.0197363i
$27$	−4.55067	+	3.30625i	−0.875777	+	0.636289i
$28$	−2.27779	+	1.34598i	−0.430462	+	0.254366i
$29$	−2.28218	+	0.741525i	−0.423790	+	0.137698i	−0.513145	−	0.858302i	$-0.671520\pi$
$29$	−2.28218	+	0.741525i	−0.423790	+	0.137698i	0.0893546	+	0.996000i	$0.471520\pi$
$30$	−1.07454	−	3.17752i	−0.196183	−	0.580134i
$31$	0.248208	−	0.341629i	0.0445795	−	0.0613584i	−0.786145	−	0.618042i	$-0.787926\pi$
$31$	0.248208	−	0.341629i	0.0445795	−	0.0613584i	0.830725	+	0.556683i	$0.187926\pi$
$32$	−1.00000			−0.176777
$33$	−1.06259	+	4.86042i	−0.184973	+	0.846091i
$34$			0.538400i			0.0923348i
$35$	−5.89587	−	0.488531i	−0.996585	−	0.0825768i
$36$	−0.231684	+	0.713050i	−0.0386140	+	0.118842i
$37$	3.07763	−	0.999984i	0.505960	−	0.164396i	−0.0449041	−	0.998991i	$-0.514298\pi$
$37$	3.07763	−	0.999984i	0.505960	−	0.164396i	0.550864	+	0.834595i	$0.314298\pi$
$38$	1.98490	−	1.44211i	0.321993	−	0.233942i
$39$	0.287147	+	0.395224i	0.0459803	+	0.0632864i
$40$	−1.82458	−	1.29264i	−0.288491	−	0.204385i
$41$	1.25713	−	3.86905i	0.196331	−	0.604244i	−0.803628	−	0.595133i	$-0.797100\pi$
$41$	1.25713	−	3.86905i	0.196331	−	0.604244i	0.999958	−	0.00911194i	$-0.00290046\pi$
$42$	−2.97614	−	2.62572i	−0.459228	−	0.405157i
$43$	−0.787474			−0.120089			−0.0600444	−	0.998196i	$-0.519124\pi$
$43$	−0.787474			−0.120089			−0.0600444	+	0.998196i	$0.519124\pi$
$44$	1.33141	+	3.03765i	0.200718	+	0.457944i
$45$	−1.34444	+	1.00153i	−0.200418	+	0.149299i
$46$	2.76672	−	3.80807i	0.407931	−	0.561469i
$47$	−1.98291	+	6.10277i	−0.289237	+	0.890181i	0.695859	+	0.718178i	$0.255024\pi$
$47$	−1.98291	+	6.10277i	−0.289237	+	0.890181i	−0.985097	+	0.172002i	$0.944976\pi$
$48$	−0.463552	−	1.42667i	−0.0669079	−	0.205921i
$49$	−6.33593	+	2.97590i	−0.905133	+	0.425129i
$50$	−1.65815	−	4.71705i	−0.234498	−	0.667091i
$51$	−0.768116	+	0.249576i	−0.107558	+	0.0349476i
$52$	0.309724	+	0.100636i	0.0429511	+	0.0139556i
$53$	5.90889	−	8.13289i	0.811648	−	1.11714i	−0.179419	−	0.983773i	$-0.557422\pi$
$53$	5.90889	−	8.13289i	0.811648	−	1.11714i	0.991067	−	0.133365i	$-0.0425783\pi$
$54$	−5.62494			−0.765457
$55$	−1.49734	+	7.26347i	−0.201901	+	0.979406i
$56$	−2.63392	−	0.249934i	−0.351972	−	0.0333988i
$57$	2.97752	+	2.16329i	0.394382	+	0.286535i
$58$	−2.28218	−	0.741525i	−0.299665	−	0.0973670i
$59$	3.34774	−	1.08775i	0.435839	−	0.141613i	−0.0828760	−	0.996560i	$-0.526411\pi$
$59$	3.34774	−	1.08775i	0.435839	−	0.141613i	0.518715	+	0.854947i	$0.326411\pi$
$60$	0.998383	−	3.20227i	0.128891	−	0.413411i
$61$	2.60559	−	1.89307i	0.333612	−	0.242383i	−0.408350	−	0.912825i	$-0.633896\pi$
$61$	2.60559	−	1.89307i	0.333612	−	0.242383i	0.741962	+	0.670442i	$0.233896\pi$
$62$	0.401609	−	0.130491i	0.0510044	−	0.0165723i
$63$	−0.788452	+	1.82021i	−0.0993356	+	0.229325i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	0.435030	+	0.583980i	0.0539588	+	0.0724338i
$66$	−3.71654	+	3.30759i	−0.457474	+	0.407136i
$67$			3.10205i			0.378976i	0.981883	+	0.189488i	$0.0606828\pi$
$67$			3.10205i			0.378976i	−0.981883	+	0.189488i	$0.939317\pi$
$68$	−0.316463	+	0.435574i	−0.0383768	+	0.0528212i
$69$	6.71536	+	2.18195i	0.808435	+	0.262676i
$70$	−4.48271	−	3.86074i	−0.535787	−	0.461446i
$71$	−4.55615	+	3.31024i	−0.540716	+	0.392853i	−0.824351	−	0.566079i	$-0.808460\pi$
$71$	−4.55615	+	3.31024i	−0.540716	+	0.392853i	0.283635	+	0.958932i	$0.408460\pi$
$72$	−0.606556	+	0.440689i	−0.0714833	+	0.0519357i
$73$	13.4882	−	4.38258i	1.57867	−	0.512942i	0.616959	−	0.786995i	$-0.288365\pi$
$73$	13.4882	−	4.38258i	1.57867	−	0.512942i	0.961714	+	0.274053i	$0.0883645\pi$
$74$	3.07763	+	0.999984i	0.357768	+	0.116246i
$75$	5.96101	−	4.55223i	0.688318	−	0.525646i
$76$	2.45347			0.281432
$77$	2.74762	+	8.33370i	0.313120	+	0.949714i
$78$			0.488523i			0.0553144i
$79$	0.136261	−	0.187547i	0.0153305	−	0.0211007i	−0.801283	−	0.598286i	$-0.795849\pi$
$79$	0.136261	−	0.187547i	0.0153305	−	0.0211007i	0.816613	+	0.577185i	$0.195849\pi$
$80$	−0.716317	−	2.11823i	−0.0800867	−	0.236825i
$81$	−1.91240	−	5.88575i	−0.212489	−	0.653973i
$82$	3.29121	−	2.39121i	0.363454	−	0.264065i
$83$	6.56779	+	9.03978i	0.720908	+	0.992245i	0.999493	+	0.0318335i	$0.0101346\pi$
$83$	6.56779	+	9.03978i	0.720908	+	0.992245i	−0.278585	+	0.960412i	$0.589865\pi$
$84$	−0.864387	−	3.87358i	−0.0943123	−	0.422642i
$85$	−1.14045	+	0.385665i	−0.123700	+	0.0418312i
$86$	−0.637080	−	0.462866i	−0.0686981	−	0.0499121i
$87$		−	3.59964i		−	0.385922i
$88$	−0.708354	+	3.24010i	−0.0755108	+	0.345396i
$89$		−	9.96145i		−	1.05591i	−0.849272	−	0.527956i	$-0.822959\pi$
$89$		−	9.96145i		−	1.05591i	0.849272	−	0.527956i	$-0.177041\pi$
$90$	−1.67636	+	0.0200103i	−0.176704	+	0.00210927i
$91$	0.790637	+	0.342477i	0.0828813	+	0.0359013i
$92$	4.47665	−	1.45455i	0.466723	−	0.151648i
$93$	0.372333	+	0.512472i	0.0386091	+	0.0531409i
$94$	−5.19133	+	3.77172i	−0.535444	+	0.389023i
$95$	4.47654	+	3.17146i	0.459283	+	0.325385i
$96$	0.463552	−	1.42667i	0.0473111	−	0.145608i
$97$	9.86605	+	7.16810i	1.00175	+	0.727811i	0.962462	−	0.271418i	$-0.0874924\pi$
$97$	9.86605	+	7.16810i	1.00175	+	0.727811i	0.0392836	+	0.999228i	$0.487492\pi$
$98$	−6.87507	−	1.31661i	−0.694487	−	0.132998i
$99$	2.14624	+	1.25577i	0.215705	+	0.126210i
$100$	1.43114	−	4.79081i	0.143114	−	0.479081i
$101$	−13.2251	−	9.60858i	−1.31594	−	0.956090i	−0.999973	−	0.00732117i	$-0.997670\pi$
$101$	−13.2251	−	9.60858i	−1.31594	−	0.956090i	−0.315972	−	0.948769i	$-0.602330\pi$
$102$	−0.768116	−	0.249576i	−0.0760548	−	0.0247117i
$103$	−3.86155	−	11.8846i	−0.380490	−	1.17103i	−0.939699	−	0.342002i	$-0.888895\pi$
$103$	−3.86155	−	11.8846i	−0.380490	−	1.17103i	0.559209	−	0.829026i	$-0.311105\pi$
$104$	0.191420	+	0.263467i	0.0187703	+	0.0258351i
$105$	3.43001	−	8.18498i	0.334735	−	0.798773i
$106$	9.56078	−	3.10649i	0.928625	−	0.301729i
$107$	−1.00057	+	3.07944i	−0.0967288	+	0.297701i	−0.987700	−	0.156358i	$-0.950024\pi$
$107$	−1.00057	+	3.07944i	−0.0967288	+	0.297701i	0.890972	+	0.454059i	$0.150024\pi$
$108$	−4.55067	−	3.30625i	−0.437888	−	0.318144i
$109$			18.1305i			1.73659i	0.496052	+	0.868293i	$0.334783\pi$
$109$			18.1305i			1.73659i	−0.496052	+	0.868293i	$0.665217\pi$
$110$	−5.48073	+	4.99616i	−0.522567	+	0.476365i
$111$			4.85430i			0.460750i
$112$	−1.98398	−	1.75038i	−0.187468	−	0.165395i
$113$	−7.95856	−	2.58589i	−0.748679	−	0.243260i	−0.0902662	−	0.995918i	$-0.528772\pi$
$113$	−7.95856	−	2.58589i	−0.748679	−	0.243260i	−0.658413	+	0.752657i	$0.728772\pi$
$114$	1.13731	+	3.50028i	0.106519	+	0.327831i
$115$	10.0482	+	3.13277i	0.937000	+	0.292132i
$116$	−1.41046	−	1.94134i	−0.130958	−	0.180249i
$117$	0.232214	−	0.0754510i	0.0214682	−	0.00697545i
$118$	3.34774	+	1.08775i	0.308185	+	0.100135i
$119$	−0.942404	+	1.06817i	−0.0863900	+	0.0979193i
$120$	2.68995	−	2.00385i	0.245558	−	0.182926i
$121$	10.7854	−	2.16217i	0.980492	−	0.196561i
$122$	3.22069			0.291587
$123$	4.93710	+	3.58701i	0.445163	+	0.323430i
$124$	0.401609	+	0.130491i	0.0360655	+	0.0117184i
$125$	8.80402	−	6.89125i	0.787455	−	0.616372i
$126$	−1.70776	+	1.00914i	−0.152140	+	0.0899014i
$127$	−9.69463	+	7.04356i	−0.860260	+	0.625015i	−0.927956	−	0.372691i	$-0.878435\pi$
$127$	−9.69463	+	7.04356i	−0.860260	+	0.625015i	0.0676959	+	0.997706i	$0.478435\pi$
$128$	−0.309017	−	0.951057i	−0.0273135	−	0.0840623i
$129$	0.365035	−	1.12346i	0.0321395	−	0.0989154i
$130$	0.00869179	+	0.728154i	0.000762320	+	0.0638633i
$131$	10.1962			0.890848			0.445424	−	0.895320i	$-0.353053\pi$
$131$	10.1962			0.890848			0.445424	+	0.895320i	$0.353053\pi$
$132$	−4.95090	+	0.491368i	−0.430920	+	0.0427681i
$133$	6.46224	+	0.613204i	0.560347	+	0.0531715i
$134$	−1.82334	+	2.50961i	−0.157513	+	0.216797i
$135$	−4.02924	−	11.9149i	−0.346782	−	1.02547i
$136$	−0.512048	+	0.166375i	−0.0439078	+	0.0142665i
$137$	−5.32725	−	7.33233i	−0.455138	−	0.626443i	0.518354	−	0.855166i	$-0.326545\pi$
$137$	−5.32725	−	7.33233i	−0.455138	−	0.626443i	−0.973492	+	0.228723i	$0.926545\pi$
$138$	4.15032	+	5.71243i	0.353299	+	0.486274i
$139$	6.56257	+	20.1975i	0.556630	+	1.71313i	0.691599	+	0.722282i	$0.256907\pi$
$139$	6.56257	+	20.1975i	0.556630	+	1.71313i	−0.134969	+	0.990850i	$0.543093\pi$
$140$	−1.35731	−	5.75827i	−0.114713	−	0.486663i
$141$	−7.78743	−	5.65790i	−0.655820	−	0.476481i
$142$	−5.63171			−0.472603
$143$	0.545464	−	0.932252i	0.0456140	−	0.0779588i
$144$	−0.749745			−0.0624787
$145$	−0.0640447	−	5.36534i	−0.00531862	−	0.445567i
$146$	13.4882	+	4.38258i	1.11629	+	0.362705i
$147$	−1.30859	−	10.4187i	−0.107930	−	0.859323i
$148$	1.90208	+	2.61799i	0.156350	+	0.215198i
$149$	5.72621	+	7.88145i	0.469109	+	0.645673i	0.976367	−	0.216121i	$-0.0693406\pi$
$149$	5.72621	+	7.88145i	0.469109	+	0.645673i	−0.507257	+	0.861795i	$0.669341\pi$
$150$	7.49829	−	0.179036i	0.612233	−	0.0146182i
$151$	−5.36781	−	1.74411i	−0.436826	−	0.141933i	0.0823448	−	0.996604i	$-0.473759\pi$
$151$	−5.36781	−	1.74411i	−0.436826	−	0.141933i	−0.519171	+	0.854671i	$0.673759\pi$
$152$	1.98490	+	1.44211i	0.160996	+	0.116971i
$153$			0.403662i			0.0326342i
$154$	−2.67556	+	8.35712i	−0.215603	+	0.673436i
$155$	0.564088	+	0.757226i	0.0453086	+	0.0608219i
$156$	−0.287147	+	0.395224i	−0.0229901	+	0.0316432i
$157$	5.92810	−	18.2448i	0.473114	−	1.45610i	−0.375370	−	0.926875i	$-0.622484\pi$
$157$	5.92810	−	18.2448i	0.473114	−	1.45610i	0.848484	−	0.529221i	$-0.177516\pi$
$158$	0.220474	−	0.0716365i	0.0175400	−	0.00569909i
$159$	8.86383	+	12.2000i	0.702948	+	0.967525i
$160$	0.665551	−	2.13472i	0.0526164	−	0.168765i
$161$	12.1547	−	2.71231i	0.957924	−	0.213760i
$162$	1.91240	−	5.88575i	0.150252	−	0.462429i
$163$	6.31611	−	8.69338i	0.494716	−	0.680918i	−0.486533	−	0.873662i	$-0.661739\pi$
$163$	6.31611	−	8.69338i	0.494716	−	0.680918i	0.981249	+	0.192744i	$0.0617387\pi$
$164$	4.06816			0.317670
$165$	−9.66845	−	5.50320i	−0.752688	−	0.428423i
$166$			11.1738i			0.867254i
$167$	−4.64921	+	6.39909i	−0.359767	+	0.495177i	−0.950084	−	0.311995i	$-0.899003\pi$
$167$	−4.64921	+	6.39909i	−0.359767	+	0.495177i	0.590317	+	0.807172i	$0.299003\pi$
$168$	1.57753	−	3.64187i	0.121709	−	0.280976i
$169$	3.98445	+	12.2629i	0.306496	+	0.943298i
$170$	−1.14933	−	0.358332i	−0.0881499	−	0.0274828i
$171$	1.48817	−	1.08122i	0.113803	−	0.0826827i
$172$	−0.243343	−	0.748933i	−0.0185547	−	0.0571056i
$173$	−18.8572	−	6.12709i	−1.43369	−	0.465834i	−0.513766	−	0.857931i	$-0.671750\pi$
$173$	−18.8572	−	6.12709i	−1.43369	−	0.465834i	−0.919924	+	0.392097i	$0.871750\pi$
$174$	2.11582	−	2.91217i	0.160400	−	0.220771i
$175$	4.96688	−	12.2609i	0.375461	−	0.926838i
$176$	−2.47755	+	2.20493i	−0.186753	+	0.166203i
$177$			5.28034i			0.396895i
$178$	5.85519	−	8.05898i	0.438865	−	0.604046i
$179$	−3.44282	+	10.5959i	−0.257329	+	0.791977i	0.736033	+	0.676946i	$0.236697\pi$
$179$	−3.44282	+	10.5959i	−0.257329	+	0.791977i	−0.993362	+	0.115031i	$0.963303\pi$
$180$	−1.36797	−	0.969152i	−0.101962	−	0.0722363i
$181$	10.0233	+	13.7959i	0.745028	+	1.02544i	0.998314	+	0.0580511i	$0.0184886\pi$
$181$	10.0233	+	13.7959i	0.745028	+	1.02544i	−0.253286	+	0.967391i	$0.581511\pi$
$182$	0.438336	+	0.741794i	0.0324916	+	0.0549855i
$183$	1.49296	+	4.59484i	0.110362	+	0.339661i
$184$	4.47665	+	1.45455i	0.330023	+	0.107231i
$185$	0.0863676	+	7.23544i	0.00634987	+	0.531960i
$186$			0.633451i			0.0464469i
$187$	1.18714	+	1.33391i	0.0868119	+	0.0975454i
$188$	−6.41683			−0.467996
$189$	−11.1598	−	9.84577i	−0.811753	−	0.716175i
$190$	1.75746	+	5.19701i	0.127500	+	0.377030i
$191$	−5.55713	−	17.1031i	−0.402100	−	1.23754i	−0.923293	−	0.384097i	$-0.874513\pi$
$191$	−5.55713	−	17.1031i	−0.402100	−	1.23754i	0.521193	−	0.853439i	$-0.325487\pi$
$192$	1.21359	−	0.881728i	0.0875836	−	0.0636332i
$193$	9.96613	−	7.24082i	0.717378	−	0.521205i	−0.168168	−	0.985758i	$-0.553785\pi$
$193$	9.96613	−	7.24082i	0.717378	−	0.521205i	0.885545	+	0.464553i	$0.153785\pi$
$194$	3.76849	+	11.5982i	0.270562	+	0.832705i
$195$	−1.03480	+	0.349937i	−0.0741038	+	0.0250595i
$196$	−4.78816	−	5.10622i	−0.342012	−	0.364730i
$197$	0.206405			0.0147057			0.00735287	−	0.999973i	$-0.497659\pi$
$197$	0.206405			0.0147057			0.00735287	+	0.999973i	$0.497659\pi$
$198$	0.998219	+	2.27747i	0.0709403	+	0.161852i
$199$			22.2925i			1.58028i	0.612929	+	0.790138i	$0.289991\pi$
$199$			22.2925i			1.58028i	−0.612929	+	0.790138i	$0.710009\pi$
$200$	3.97378	−	3.03465i	0.280989	−	0.214582i
$201$	−4.42559	−	1.43796i	−0.312157	−	0.101426i
$202$	−5.05153	−	15.5470i	−0.355425	−	1.09388i
$203$	−3.22984	−	5.46585i	−0.226691	−	0.383627i
$204$	−0.474722	−	0.653399i	−0.0332372	−	0.0457471i
$205$	7.42267	+	5.25868i	0.518422	+	0.367282i
$206$	3.86155	−	11.8846i	0.269047	−	0.828042i
$207$	2.07434	−	2.85508i	0.144176	−	0.198442i
$208$			0.325664i			0.0225807i
$209$	1.73793	−	7.94948i	0.120215	−	0.549877i
$210$	7.58595	−	4.60568i	0.523480	−	0.317822i
$211$	−2.55703	+	3.51945i	−0.176033	+	0.242289i	−0.887912	−	0.460013i	$-0.847845\pi$
$211$	−2.55703	+	3.51945i	−0.176033	+	0.242289i	0.711879	+	0.702302i	$0.247845\pi$
$212$	9.56078	+	3.10649i	0.656637	+	0.213354i
$213$	−2.61059	−	8.03457i	−0.178875	−	0.550520i
$214$	−2.61953	+	1.90320i	−0.179067	+	0.130100i
$215$	0.524104	−	1.68104i	0.0357436	−	0.114646i
$216$	−1.73820	−	5.34963i	−0.118270	−	0.363996i
$217$	1.02519	+	0.444077i	0.0695945	+	0.0301459i
$218$	−10.6568	+	14.6679i	−0.721772	+	0.993434i
$219$			21.2747i			1.43761i
$220$	−7.37067	+	0.820481i	−0.496931	+	0.0553168i
$221$	0.175337			0.0117945
$222$	−2.85329	+	3.92721i	−0.191500	+	0.263577i
$223$	−4.73537	+	14.5740i	−0.317104	+	0.975944i	0.657776	+	0.753213i	$0.271497\pi$
$223$	−4.73537	+	14.5740i	−0.317104	+	0.975944i	−0.974880	+	0.222731i	$0.928503\pi$
$224$	−0.576225	−	2.58224i	−0.0385007	−	0.172533i
$225$	−1.24319	−	3.53658i	−0.0828795	−	0.235772i
$226$	−4.91866	−	6.76996i	−0.327185	−	0.450331i
$227$	21.9096	−	7.11887i	1.45419	−	0.472496i	0.527902	−	0.849305i	$-0.322979\pi$
$227$	21.9096	−	7.11887i	1.45419	−	0.472496i	0.926291	+	0.376810i	$0.122979\pi$
$228$	−1.13731	+	3.50028i	−0.0753202	+	0.231812i
$229$	9.19600	−	12.6572i	0.607688	−	0.836411i	−0.388696	−	0.921366i	$-0.627074\pi$
$229$	9.19600	−	12.6572i	0.607688	−	0.836411i	0.996385	+	0.0849545i	$0.0270745\pi$
$230$	6.28778	+	8.44065i	0.414604	+	0.556560i
$231$	−13.1631	+	0.0568302i	−0.866066	+	0.00373915i
$232$		−	2.39963i		−	0.157543i
$233$	0.682122	+	0.495591i	0.0446873	+	0.0324672i	0.609905	−	0.792475i	$-0.291208\pi$
$233$	0.682122	+	0.495591i	0.0446873	+	0.0324672i	−0.565217	+	0.824942i	$0.691208\pi$
$234$	0.232214	+	0.0754510i	0.0151803	+	0.00493239i
$235$	−11.7080	−	8.29467i	−0.763746	−	0.541084i
$236$	2.06902	+	2.84776i	0.134682	+	0.185373i
$237$	0.204403	+	0.281336i	0.0132774	+	0.0182747i
$238$	−1.39028	+	0.310239i	−0.0901183	+	0.0201098i
$239$	7.92025	+	2.57344i	0.512318	+	0.166462i	0.553756	−	0.832679i	$-0.313194\pi$
$239$	7.92025	+	2.57344i	0.512318	+	0.166462i	−0.0414381	+	0.999141i	$0.513194\pi$
$240$	3.35405	−	0.0400365i	0.216503	−	0.00258434i
$241$	−14.2248			−0.916298			−0.458149	−	0.888875i	$-0.651487\pi$
$241$	−14.2248			−0.916298			−0.458149	+	0.888875i	$0.651487\pi$
$242$	9.99647	+	4.59027i	0.642597	+	0.295074i
$243$	−7.59131			−0.486983
$244$	2.60559	+	1.89307i	0.166806	+	0.121192i
$245$	−2.13585	−	15.5061i	−0.136454	−	0.990646i
$246$	1.88580	+	5.80391i	0.120234	+	0.370044i
$247$	−0.469644	−	0.646409i	−0.0298827	−	0.0411300i
$248$	0.248208	+	0.341629i	0.0157612	+	0.0216935i
$249$	−15.9413	+	5.17963i	−1.01024	+	0.328246i
$250$	11.1732	−	0.400266i	0.706653	−	0.0253150i
$251$	5.64976	−	7.77623i	0.356610	−	0.490831i	−0.592591	−	0.805504i	$-0.701895\pi$
$251$	5.64976	−	7.77623i	0.356610	−	0.490831i	0.949200	+	0.314673i	$0.101895\pi$
$252$	−1.97477	−	0.187386i	−0.124399	−	0.0118042i
$253$	−1.54184	−	15.5351i	−0.0969345	−	0.976686i
$254$	−11.9832			−0.751895
$255$	−0.0215556	−	1.80582i	−0.00134987	−	0.113085i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	−4.72111	−	14.5301i	−0.294495	−	0.906362i	−0.983391	−	0.181502i	$-0.941904\pi$
$257$	−4.72111	−	14.5301i	−0.294495	−	0.906362i	0.688896	−	0.724860i	$-0.258096\pi$
$258$	0.955674	−	0.694338i	0.0594977	−	0.0432276i
$259$	4.35561	+	7.37098i	0.270644	+	0.458010i
$260$	−0.420966	+	0.594198i	−0.0261072	+	0.0368506i
$261$	−1.71105	−	0.555954i	−0.105911	−	0.0344127i
$262$	8.24892	+	5.99319i	0.509620	+	0.370260i
$263$	−1.40139			−0.0864132			−0.0432066	−	0.999066i	$-0.513757\pi$
$263$	−1.40139			−0.0864132			−0.0432066	+	0.999066i	$0.513757\pi$
$264$	−4.29418	−	2.51254i	−0.264288	−	0.154636i
$265$	13.4288	+	18.0267i	0.824924	+	1.10737i
$266$	4.86763	+	4.29450i	0.298454	+	0.263313i
$267$	14.2117	+	4.61765i	0.869739	+	0.282595i
$268$	−2.95023	+	0.958586i	−0.180214	+	0.0585550i
$269$	−7.05324	−	9.70795i	−0.430043	−	0.591904i	0.537920	−	0.842996i	$-0.319210\pi$
$269$	−7.05324	−	9.70795i	−0.430043	−	0.591904i	−0.967963	+	0.251092i	$0.919210\pi$
$270$	3.74368	−	12.0077i	0.227833	−	0.730764i
$271$	7.70500	+	23.7135i	0.468045	+	1.44050i	0.855112	+	0.518444i	$0.173488\pi$
$271$	7.70500	+	23.7135i	0.468045	+	1.44050i	−0.387066	+	0.922052i	$0.626512\pi$
$272$	−0.512048	−	0.166375i	−0.0310475	−	0.0100879i
$273$	−0.855101	+	0.969219i	−0.0517531	+	0.0586598i
$274$		−	9.06326i		−	0.547531i
$275$	−14.5089	−	8.03061i	−0.874922	−	0.484264i
$276$			7.06095i			0.425019i
$277$	−6.22158	−	4.52024i	−0.373818	−	0.271595i	0.384974	−	0.922927i	$-0.374210\pi$
$277$	−6.22158	−	4.52024i	−0.373818	−	0.271595i	−0.758793	+	0.651332i	$0.774210\pi$
$278$	−6.56257	+	20.1975i	−0.393597	+	1.21137i
$279$	0.301104	−	0.0978346i	0.0180266	−	0.00585721i
$280$	2.28655	−	5.45635i	0.136647	−	0.326079i
$281$	−7.30485	−	10.0543i	−0.435771	−	0.599787i	0.533495	−	0.845803i	$-0.320878\pi$
$281$	−7.30485	−	10.0543i	−0.435771	−	0.599787i	−0.969266	+	0.246016i	$0.920878\pi$
$282$	−2.97453	−	9.15467i	−0.177131	−	0.545153i
$283$	−21.3217	−	6.92784i	−1.26744	−	0.411817i	−0.403302	−	0.915067i	$-0.632138\pi$
$283$	−21.3217	−	6.92784i	−1.26744	−	0.411817i	−0.864141	+	0.503250i	$0.832138\pi$
$284$	−4.55615	−	3.31024i	−0.270358	−	0.196426i
$285$	−6.59972	+	4.91639i	−0.390933	+	0.291222i
$286$	0.989253	−	0.433592i	0.0584958	−	0.0256388i
$287$	10.7152	+	1.01677i	0.632499	+	0.0600181i
$288$	−0.606556	−	0.440689i	−0.0357417	−	0.0259678i
$289$	5.16371	−	15.8923i	0.303748	−	0.934840i
$290$	3.10186	−	4.37830i	0.182147	−	0.257103i
$291$	−14.7999	+	10.7528i	−0.867586	+	0.630338i
$292$	8.33616	+	11.4737i	0.487837	+	0.671450i
$293$	7.66041	−	2.48902i	0.447526	−	0.145410i	−0.0765794	−	0.997063i	$-0.524400\pi$
$293$	7.66041	−	2.48902i	0.447526	−	0.145410i	0.524105	+	0.851654i	$0.324400\pi$
$294$	5.06531	−	9.19810i	0.295415	−	0.536444i
$295$	0.0939476	+	7.87046i	0.00546984	+	0.458236i
$296$			3.23602i			0.188090i
$297$	−13.9361	+	12.4026i	−0.808653	+	0.719673i
$298$			9.74201i			0.564339i
$299$	−1.24015	−	0.901021i	−0.0717197	−	0.0521074i
$300$	6.17148	+	4.26254i	0.356310	+	0.246098i
$301$	−0.453762	−	2.03345i	−0.0261544	−	0.117206i
$302$	−3.31749	−	4.56613i	−0.190900	−	0.262751i
$303$	19.8387	−	14.4137i	1.13971	−	0.828045i
$304$	0.758164	+	2.33339i	0.0434837	+	0.133829i
$305$	2.30703	+	6.82215i	0.132100	+	0.390635i
$306$	−0.237267	+	0.326570i	−0.0135636	+	0.0186687i
$307$			25.7572i			1.47004i	0.678044	+	0.735021i	$0.262828\pi$
$307$			25.7572i			1.47004i	−0.678044	+	0.735021i	$0.737172\pi$
$308$	−7.07676	+	5.18840i	−0.403236	+	0.295636i
$309$	18.7454			1.06639
$310$	0.0112703	+	0.944172i	0.000640112	+	0.0536253i
$311$	−24.6295	−	8.00260i	−1.39661	−	0.453786i	−0.488517	−	0.872555i	$-0.662462\pi$
$311$	−24.6295	−	8.00260i	−1.39661	−	0.453786i	−0.908093	+	0.418769i	$0.862462\pi$
$312$	−0.464613	+	0.150962i	−0.0263035	+	0.00854654i
$313$	−0.756757	+	0.549816i	−0.0427745	+	0.0310775i	−0.608967	−	0.793196i	$-0.708416\pi$
$313$	−0.756757	+	0.549816i	−0.0427745	+	0.0310775i	0.566193	+	0.824273i	$0.308416\pi$
$314$	15.5200	−	11.2759i	0.875843	−	0.636337i
$315$	−3.36089	−	2.89457i	−0.189365	−	0.163090i
$316$	0.220474	+	0.0716365i	0.0124027	+	0.00402987i
$317$	−11.7119	+	16.1200i	−0.657805	+	0.905391i	−0.999406	−	0.0344544i	$-0.989031\pi$
$317$	−11.7119	+	16.1200i	−0.657805	+	0.905391i	0.341602	+	0.939845i	$0.389031\pi$
$318$			15.0801i			0.845648i
$319$	−7.28923	+	3.19489i	−0.408119	+	0.178879i
$320$	1.79320	−	1.33583i	0.100243	−	0.0746750i
$321$	−3.92951	−	2.85496i	−0.219324	−	0.159348i
$322$	11.4276	+	4.95004i	0.636836	+	0.275855i
$323$	1.25629	−	0.408195i	0.0699021	−	0.0227126i
$324$	5.00672	−	3.63760i	0.278151	−	0.202089i
$325$	−1.53617	+	0.540000i	−0.0852114	+	0.0299538i
$326$	10.2197	−	3.32057i	0.566016	−	0.183910i
$327$	−25.8661	−	8.40442i	−1.43040	−	0.464765i
$328$	3.29121	+	2.39121i	0.181727	+	0.132032i
$329$	−16.9014	−	1.60378i	−0.931806	−	0.0884193i
$330$	−4.58724	−	10.1351i	−0.252519	−	0.557922i
$331$	−14.4420			−0.793804			−0.396902	−	0.917861i	$-0.629915\pi$
$331$	−14.4420			−0.793804			−0.396902	+	0.917861i	$0.629915\pi$
$332$	−6.56779	+	9.03978i	−0.360454	+	0.496123i
$333$	2.30744	+	0.749733i	0.126447	+	0.0410851i
$334$	−7.52258	+	2.44424i	−0.411617	+	0.133743i
$335$	−6.62202	−	2.06457i	−0.361800	−	0.112800i
$336$	3.41688	−	2.01908i	0.186406	−	0.110150i
$337$	−9.72849	−	29.9412i	−0.529945	−	1.63100i	−0.754326	−	0.656500i	$-0.772036\pi$
$337$	−9.72849	−	29.9412i	−0.529945	−	1.63100i	0.224381	−	0.974501i	$-0.427964\pi$
$338$	−3.98445	+	12.2629i	−0.216725	+	0.667012i
$339$	7.37841	−	10.1555i	0.400740	−	0.551572i
$340$	−0.719208	−	0.965458i	−0.0390045	−	0.0523593i
$341$	0.707284	−	1.20882i	0.0383016	−	0.0654612i
$342$	1.83948			0.0994674
$343$	−11.3354	−	14.6461i	−0.612055	−	0.790815i
$344$	0.243343	−	0.748933i	0.0131202	−	0.0403797i
$345$	−9.12728	+	12.8832i	−0.491396	+	0.693610i
$346$	−11.6544	−	16.0409i	−0.626545	−	0.862366i
$347$	4.16413	−	3.02541i	0.223542	−	0.162413i	−0.470378	−	0.882465i	$-0.655882\pi$
$347$	4.16413	−	3.02541i	0.223542	−	0.162413i	0.693920	+	0.720052i	$0.255882\pi$
$348$	3.42346	−	1.11235i	0.183517	−	0.0596282i
$349$	1.58171	−	4.86800i	0.0846670	−	0.260578i	−0.899756	−	0.436393i	$-0.856256\pi$
$349$	1.58171	−	4.86800i	0.0846670	−	0.260578i	0.984423	+	0.175814i	$0.0562559\pi$
$350$	11.2251	−	6.99983i	0.600006	−	0.374157i
$351$			1.83184i			0.0977762i
$352$	−3.30041	+	0.327560i	−0.175912	+	0.0174590i
$353$	−3.35238			−0.178429			−0.0892147	−	0.996012i	$-0.528436\pi$
$353$	−3.35238			−0.178429			−0.0892147	+	0.996012i	$0.528436\pi$
$354$	−3.10370	+	4.27188i	−0.164960	+	0.227048i
$355$	−4.03409	−	11.9293i	−0.214107	−	0.633139i
$356$	9.47390	−	3.07826i	0.502116	−	0.163147i
$357$	−1.08707	−	1.83965i	−0.0575340	−	0.0973645i
$358$	−9.01343	+	6.54864i	−0.476375	+	0.346106i
$359$	−14.6734	+	4.76767i	−0.774431	+	0.251628i	−0.669461	−	0.742847i	$-0.733475\pi$
$359$	−14.6734	+	4.76767i	−0.774431	+	0.251628i	−0.104971	+	0.994475i	$0.533475\pi$
$360$	−0.537055	−	1.58813i	−0.0283053	−	0.0837018i
$361$	10.5014	+	7.62974i	0.552707	+	0.401565i
$362$			17.0527i			0.896270i
$363$	−1.91491	+	16.3894i	−0.100506	+	0.860223i
$364$	−0.0813943	+	0.857772i	−0.00426622	+	0.0449595i
$365$	0.378519	+	31.7104i	0.0198126	+	1.65980i
$366$	−1.49296	+	4.59484i	−0.0780380	+	0.240176i
$367$	−3.88417	−	11.9542i	−0.202752	−	0.624006i	−0.999798	−	0.0200878i	$-0.993605\pi$
$367$	−3.88417	−	11.9542i	−0.202752	−	0.624006i	0.797046	−	0.603918i	$-0.206395\pi$
$368$	2.76672	+	3.80807i	0.144225	+	0.198509i
$369$	2.46757	−	1.79279i	0.128457	−	0.0933291i
$370$	−4.18301	+	5.90436i	−0.217464	+	0.306953i
$371$	24.4059	+	10.5718i	1.26709	+	0.548860i
$372$	−0.372333	+	0.512472i	−0.0193046	+	0.0265705i
$373$	37.4219			1.93763			0.968815	−	0.247784i	$-0.0797024\pi$
$373$	37.4219			1.93763			0.968815	+	0.247784i	$0.0797024\pi$
$374$	0.176358	+	1.77694i	0.00911927	+	0.0918833i
$375$	5.75039	+	15.7548i	0.296949	+	0.813576i
$376$	−5.19133	−	3.77172i	−0.267722	−	0.194512i
$377$	−0.241488	+	0.743223i	−0.0124372	+	0.0382779i
$378$	−3.24123	−	14.5249i	−0.166711	−	0.747082i
$379$	20.3040	−	14.7517i	1.04295	−	0.757744i	0.0720868	−	0.997398i	$-0.477034\pi$
$379$	20.3040	−	14.7517i	1.04295	−	0.757744i	0.970858	+	0.239654i	$0.0770341\pi$
$380$	−1.63291	+	5.23748i	−0.0837664	+	0.268677i
$381$	−5.55485	−	17.0961i	−0.284583	−	0.875858i
$382$	5.55713	−	17.1031i	0.284327	−	0.875070i
$383$	−15.3530	−	11.1546i	−0.784501	−	0.569974i	0.121825	−	0.992552i	$-0.461125\pi$
$383$	−15.3530	−	11.1546i	−0.784501	−	0.569974i	−0.906327	+	0.422578i	$0.861125\pi$
$384$	1.50009			0.0765509
$385$	−19.6188	+	0.318904i	−0.999868	+	0.0162528i
$386$	12.3188			0.627011
$387$	−0.477647	−	0.347031i	−0.0242802	−	0.0176406i
$388$	−3.76849	+	11.5982i	−0.191316	+	0.588811i
$389$	4.11649	+	12.6693i	0.208714	+	0.642357i	0.999540	+	0.0303158i	$0.00965129\pi$
$389$	4.11649	+	12.6693i	0.208714	+	0.642357i	−0.790826	+	0.612041i	$0.790349\pi$
$390$	−1.04286	−	0.325137i	−0.0528073	−	0.0164639i
$391$	2.05026	−	1.48960i	0.103686	−	0.0753325i
$392$	−0.872342	−	6.94543i	−0.0440599	−	0.350797i
$393$	−4.72648	+	14.5466i	−0.238419	+	0.733779i
$394$	0.166985	+	0.121322i	0.00841259	+	0.00611210i
$395$	0.309672	+	0.415701i	0.0155813	+	0.0209162i
$396$	−0.531085	+	2.42925i	−0.0266880	+	0.122074i
$397$	32.5495			1.63361			0.816805	−	0.576914i	$-0.195743\pi$
$397$	32.5495			1.63361			0.816805	+	0.576914i	$0.195743\pi$
$398$	−13.1032	+	18.0350i	−0.656806	+	0.904015i
$399$	−3.87042	+	8.93520i	−0.193763	+	0.447320i
$400$	4.99858	−	0.119350i	0.249929	−	0.00596752i
$401$	14.7964	−	10.7502i	0.738896	−	0.536839i	−0.153469	−	0.988153i	$-0.549045\pi$
$401$	14.7964	−	10.7502i	0.738896	−	0.536839i	0.892365	+	0.451314i	$0.149045\pi$
$402$	−2.73516	−	3.76463i	−0.136418	−	0.187763i
$403$	−0.0424960	−	0.130789i	−0.00211688	−	0.00651508i
$404$	5.05153	−	15.5470i	0.251323	−	0.773493i
$405$	13.8373	−	0.165172i	0.687579	−	0.00820745i
$406$	0.599747	−	6.32042i	0.0297649	−	0.313677i
$407$	9.82990	−	4.30847i	0.487250	−	0.213563i
$408$		−	0.807645i		−	0.0399844i
$409$	−20.7913	−	15.1058i	−1.02806	−	0.746933i	−0.0601441	−	0.998190i	$-0.519156\pi$
$409$	−20.7913	−	15.1058i	−1.02806	−	0.746933i	−0.967920	+	0.251257i	$0.919156\pi$
$410$	2.91409	+	8.61730i	0.143917	+	0.425578i
$411$	12.9302	−	4.20129i	0.637802	−	0.207234i
$412$	10.1097	−	7.34511i	0.498068	−	0.361868i
$413$	4.73788	+	8.01789i	0.233136	+	0.394535i
$414$	3.35635	−	1.09054i	0.164956	−	0.0535973i
$415$	−23.6686	+	8.00397i	−1.16185	+	0.392900i
$416$	−0.191420	+	0.263467i	−0.00938515	+	0.0129176i
$417$	−31.8572			−1.56005
$418$	6.07860	−	5.40974i	0.297314	−	0.264599i
$419$		−	0.0761591i		−	0.00372062i	−0.999998	−	0.00186031i	$-0.999408\pi$
$419$		−	0.0761591i		−	0.00372062i	0.999998	−	0.00186031i	$-0.000592155\pi$
$420$	8.84431	+	0.732838i	0.431558	+	0.0357588i
$421$	−0.783099	+	2.41013i	−0.0381659	+	0.117463i	−0.968324	−	0.249696i	$-0.919669\pi$
$421$	−0.783099	+	2.41013i	−0.0381659	+	0.117463i	0.930158	+	0.367159i	$0.119669\pi$
$422$	−4.13736	+	1.34431i	−0.201404	+	0.0654400i
$423$	−3.89217	+	2.82783i	−0.189244	+	0.137494i
$424$	5.90889	+	8.13289i	0.286961	+	0.394968i
$425$	−0.0642582	−	2.69123i	−0.00311698	−	0.130544i
$426$	2.61059	−	8.03457i	0.126484	−	0.389276i
$427$	6.38977	+	5.63743i	0.309223	+	0.272814i
$428$	−3.23791			−0.156510
$429$	1.07716	+	1.21034i	0.0520058	+	0.0584358i
$430$	1.41210	−	1.05193i	0.0680975	−	0.0507285i
$431$	10.5070	−	14.4616i	0.506104	−	0.696592i	−0.477152	−	0.878821i	$-0.658331\pi$
$431$	10.5070	−	14.4616i	0.506104	−	0.696592i	0.983256	+	0.182228i	$0.0583310\pi$
$432$	1.73820	−	5.34963i	0.0836292	−	0.257384i
$433$	−0.0743891	−	0.228946i	−0.00357491	−	0.0110024i	0.949253	−	0.314513i	$-0.101841\pi$
$433$	−0.0743891	−	0.228946i	−0.00357491	−	0.0110024i	−0.952828	+	0.303511i	$0.901841\pi$
$434$	0.568375	+	0.961858i	0.0272829	+	0.0461707i
$435$	7.68424	+	2.39574i	0.368431	+	0.114867i
$436$	−17.2431	+	5.60263i	−0.825796	+	0.268317i
$437$	−10.9833	−	3.56870i	−0.525404	−	0.170714i
$438$	−12.5049	+	17.2116i	−0.597510	+	0.822401i
$439$	−15.0509			−0.718341			−0.359171	−	0.933272i	$-0.616940\pi$
$439$	−15.0509			−0.718341			−0.359171	+	0.933272i	$0.616940\pi$
$440$	−6.44527	−	3.66859i	−0.307266	−	0.174893i
$441$	−5.15455	−	0.987121i	−0.245455	−	0.0470058i
$442$	0.141851	+	0.103061i	0.00674715	+	0.00490209i
$443$	20.5775	+	6.68605i	0.977668	+	0.317664i	0.753908	−	0.656981i	$-0.228167\pi$
$443$	20.5775	+	6.68605i	0.977668	+	0.317664i	0.223761	+	0.974644i	$0.428167\pi$
$444$	−4.61671	+	1.50006i	−0.219100	+	0.0711898i
$445$	21.2649	+	6.62985i	1.00805	+	0.314285i
$446$	−12.3973	+	9.00720i	−0.587031	+	0.426503i
$447$	−13.8986	+	4.51592i	−0.657381	+	0.213596i
$448$	1.05163	−	2.42777i	0.0496847	−	0.114701i
$449$	−28.1981	−	20.4871i	−1.33075	−	0.966846i	−0.999730	−	0.0232212i	$-0.992608\pi$
$449$	−28.1981	−	20.4871i	−1.33075	−	0.966846i	−0.331018	−	0.943624i	$-0.607392\pi$
$450$	1.07299	−	3.59188i	0.0505811	−	0.169323i
$451$	2.88170	−	13.1812i	0.135694	−	0.620681i
$452$		−	8.36813i		−	0.393604i
$453$	4.97651	−	6.84958i	0.233817	−	0.321822i
$454$	21.9096	+	7.11887i	1.02827	+	0.334105i
$455$	−1.25730	+	1.45986i	−0.0589432	+	0.0684391i
$456$	−2.97752	+	2.16329i	−0.139435	+	0.101305i
$457$	−31.1079	+	22.6012i	−1.45517	+	1.05724i	−0.470576	+	0.882359i	$0.655954\pi$
$457$	−31.1079	+	22.6012i	−1.45517	+	1.05724i	−0.984590	+	0.174881i	$0.944046\pi$
$458$	14.8794	−	4.83462i	0.695270	−	0.225907i
$459$	−2.88024	−	0.935847i	−0.134438	−	0.0436816i
$460$	0.125628	+	10.5245i	0.00585744	+	0.490707i
$461$	−21.6531			−1.00849			−0.504243	−	0.863562i	$-0.668228\pi$
$461$	−21.6531			−1.00849			−0.504243	+	0.863562i	$0.668228\pi$
$462$	−10.6826	−	7.69108i	−0.496997	−	0.357822i
$463$		−	11.3856i		−	0.529136i	−0.964367	−	0.264568i	$-0.914771\pi$
$463$		−	11.3856i		−	0.529136i	0.964367	−	0.264568i	$-0.0852293\pi$
$464$	1.41046	−	1.94134i	0.0654792	−	0.0901243i
$465$	−1.34179	+	0.453751i	−0.0622242	+	0.0210422i
$466$	0.260547	+	0.801883i	0.0120696	+	0.0371465i
$467$	−8.29340	+	6.02551i	−0.383773	+	0.278827i	−0.762899	−	0.646518i	$-0.776225\pi$
$467$	−8.29340	+	6.02551i	−0.383773	+	0.278827i	0.379126	+	0.925345i	$0.376225\pi$
$468$	0.143516	+	0.197533i	0.00663405	+	0.00913098i
$469$	−8.01024	+	1.78748i	−0.369879	+	0.0825381i
$470$	−4.59649	−	13.5923i	−0.212020	−	0.626967i
$471$	23.2813	+	16.9148i	1.07274	+	0.779395i
$472$			3.52003i			0.162022i
$473$	−2.59899	+	0.257945i	−0.119502	+	0.0118603i
$474$			0.347751i			0.0159727i
$475$	−9.74955	+	7.44541i	−0.447340	+	0.341619i
$476$	−1.30711	−	0.566195i	−0.0599114	−	0.0259515i
$477$	7.16815	−	2.32907i	0.328207	−	0.106641i
$478$	4.89498	+	6.73736i	0.223891	+	0.308160i
$479$	−23.8610	+	17.3360i	−1.09023	+	0.792102i	−0.979439	−	0.201741i	$-0.935340\pi$
$479$	−23.8610	+	17.3360i	−1.09023	+	0.792102i	−0.110796	+	0.993843i	$0.535340\pi$
$480$	2.73702	+	1.93907i	0.124927	+	0.0885062i
$481$	0.325658	−	1.00227i	0.0148487	−	0.0456997i
$482$	−11.5081	−	8.36111i	−0.524179	−	0.380838i
$483$	−1.76477	+	18.5980i	−0.0802997	+	0.846237i
$484$	5.38922	+	9.58939i	0.244964	+	0.435881i
$485$	−21.8683	+	16.2905i	−0.992987	+	0.739715i
$486$	−6.14150	−	4.46206i	−0.278584	−	0.202403i
$487$	17.6380	+	5.73095i	0.799256	+	0.259694i	0.680041	−	0.733175i	$-0.261962\pi$
$487$	17.6380	+	5.73095i	0.799256	+	0.259694i	0.119215	+	0.992868i	$0.461962\pi$
$488$	0.995247	+	3.06306i	0.0450527	+	0.138658i
$489$	9.47470	+	13.0408i	0.428461	+	0.589726i
$490$	7.38630	−	13.8001i	0.333679	−	0.623425i
$491$	−0.239562	+	0.0778386i	−0.0108113	+	0.00351280i	−0.314418	−	0.949285i	$-0.601809\pi$
$491$	−0.239562	+	0.0778386i	−0.0108113	+	0.00351280i	0.303606	+	0.952798i	$0.401809\pi$
$492$	−1.88580	+	5.80391i	−0.0850186	+	0.261660i
$493$	−1.04522	−	0.759393i	−0.0470741	−	0.0342014i
$494$		−	0.799005i		−	0.0359490i
$495$	−4.10915	+	3.74584i	−0.184693	+	0.168363i
$496$			0.422276i			0.0189608i
$497$	−11.1732	−	9.85764i	−0.501186	−	0.442175i
$498$	−15.9413	−	5.17963i	−0.714345	−	0.232105i
$499$	−6.64170	−	20.4410i	−0.297323	−	0.915067i	−0.982431	−	0.186625i	$-0.940245\pi$
$499$	−6.64170	−	20.4410i	−0.297323	−	0.915067i	0.685108	−	0.728441i	$-0.259755\pi$
$500$	9.27456	+	6.24360i	0.414771	+	0.279222i
$501$	−6.97421	−	9.59918i	−0.311585	−	0.428860i
$502$	9.14150	−	2.97025i	0.408005	−	0.132569i
$503$	−34.9094	−	11.3427i	−1.55653	−	0.505748i	−0.600653	−	0.799510i	$-0.705093\pi$
$503$	−34.9094	−	11.3427i	−1.55653	−	0.505748i	−0.955879	+	0.293762i	$0.905093\pi$
$504$	−1.48748	−	1.31234i	−0.0662575	−	0.0584562i
$505$	29.3136	−	21.8369i	1.30444	−	0.971729i
$506$	7.88395	−	13.4745i	0.350484	−	0.599013i
$507$	−19.3420			−0.859009
$508$	−9.69463	−	7.04356i	−0.430130	−	0.312508i
$509$	−13.7937	−	4.48183i	−0.611394	−	0.198654i	−0.0130782	−	0.999914i	$-0.504163\pi$
$509$	−13.7937	−	4.48183i	−0.611394	−	0.198654i	−0.598315	+	0.801261i	$0.704163\pi$
$510$	1.04400	−	1.47361i	0.0462289	−	0.0652525i
$511$	19.0891	+	32.3044i	0.844452	+	1.42906i
$512$	0.809017	−	0.587785i	0.0357538	−	0.0259767i
$513$	4.26462	+	13.1252i	0.188288	+	0.579490i
$514$	4.72111	−	14.5301i	0.208239	−	0.640895i
$515$	27.9405	−	0.333518i	1.23120	−	0.0146966i
$516$	1.18128			0.0520029
$517$	−4.54539	+	20.7912i	−0.199906	+	0.914394i
$518$	−0.808789	+	8.52341i	−0.0355361	+	0.374497i
$519$	17.4826	−	24.0628i	0.767402	−	1.05624i
$520$	−0.689830	+	0.233278i	−0.0302510	+	0.0102299i
$521$	29.1844	−	9.48260i	1.27859	−	0.415440i	0.410509	−	0.911856i	$-0.365351\pi$
$521$	29.1844	−	9.48260i	1.27859	−	0.415440i	0.868085	+	0.496416i	$0.165351\pi$
$522$	−1.05749	−	1.45551i	−0.0462850	−	0.0637058i
$523$	23.6685	+	32.5769i	1.03495	+	1.42449i	0.901165	+	0.433477i	$0.142713\pi$
$523$	23.6685	+	32.5769i	1.03495	+	1.42449i	0.133786	+	0.991010i	$0.457287\pi$
$524$	3.15081	+	9.69718i	0.137644	+	0.423623i
$525$	15.1898	+	12.7696i	0.662938	+	0.557313i
$526$	−1.13375	−	0.823714i	−0.0494336	−	0.0359156i
$527$	0.227353			0.00990367
$528$	−1.99723	−	4.55674i	−0.0869183	−	0.198307i
$529$	0.843844			0.0366889
$530$	0.268304	+	22.4771i	0.0116544	+	0.976345i
$531$	2.50995	+	0.815533i	0.108923	+	0.0353911i
$532$	1.41375	+	6.33545i	0.0612938	+	0.274676i
$533$	−0.778729	−	1.07183i	−0.0337305	−	0.0464260i
$534$	8.78329	+	12.0892i	0.380090	+	0.523149i
$535$	−5.90782	−	4.18546i	−0.255417	−	0.180953i
$536$	−2.95023	−	0.958586i	−0.127430	−	0.0414046i
$537$	−13.5209	−	9.82352i	−0.583471	−	0.423916i
$538$		−	11.9997i		−	0.517343i
$539$	−19.9364	+	11.8971i	−0.858720	+	0.512444i
$540$	10.0866	−	7.51394i	0.434060	−	0.323348i
$541$	−24.4152	+	33.6046i	−1.04969	+	1.44478i	−0.160615	+	0.987017i	$0.551348\pi$
$541$	−24.4152	+	33.6046i	−1.04969	+	1.44478i	−0.889076	+	0.457759i	$0.848652\pi$
$542$	−7.70500	+	23.7135i	−0.330958	+	1.01858i
$543$	−24.3285	+	7.90481i	−1.04404	+	0.339228i
$544$	−0.316463	−	0.435574i	−0.0135683	−	0.0186751i
$545$	−38.7036	−	12.0668i	−1.65788	−	0.516883i
$546$	−1.26148	+	0.281499i	−0.0539865	+	0.0120471i
$547$	2.75033	−	8.46466i	0.117596	−	0.361923i	−0.874884	−	0.484333i	$-0.839062\pi$
$547$	2.75033	−	8.46466i	0.117596	−	0.361923i	0.992480	+	0.122410i	$0.0390623\pi$
$548$	5.32725	−	7.33233i	0.227569	−	0.313222i
$549$	2.41469			0.103057
$550$	−7.01770	−	15.0250i	−0.299236	−	0.640670i
$551$			5.88741i			0.250812i
$552$	−4.15032	+	5.71243i	−0.176649	+	0.243137i
$553$	0.562808	+	0.243789i	0.0239330	+	0.0103670i
$554$	−2.37643	−	7.31391i	−0.100965	−	0.310738i
$555$	−10.3626	−	3.23078i	−0.439867	−	0.137139i
$556$	−17.1810	+	12.4828i	−0.728638	+	0.529387i
$557$	−5.59276	−	17.2127i	−0.236973	−	0.729327i	−0.996854	−	0.0792649i	$-0.974743\pi$
$557$	−5.59276	−	17.2127i	−0.236973	−	0.729327i	0.759881	−	0.650062i	$-0.225257\pi$
$558$	0.301104	+	0.0978346i	0.0127468	+	0.00414167i
$559$	−0.150739	+	0.207474i	−0.00637556	+	0.00877521i
$560$	5.05701	−	3.07028i	0.213698	−	0.129743i
$561$	−2.45335	+	1.07531i	−0.103580	+	0.0453995i
$562$		−	12.4278i		−	0.524233i
$563$	5.96933	−	8.21608i	0.251577	−	0.346267i	−0.664486	−	0.747301i	$-0.731349\pi$
$563$	5.96933	−	8.21608i	0.251577	−	0.346267i	0.916063	+	0.401035i	$0.131349\pi$
$564$	2.97453	−	9.15467i	0.125250	−	0.385481i
$565$	10.8170	−	15.2683i	0.455074	−	0.642342i
$566$	−13.1775	−	18.1373i	−0.553893	−	0.762368i
$567$	14.0965	−	8.32979i	0.591996	−	0.349818i
$568$	−1.74030	−	5.35608i	−0.0730212	−	0.224736i
$569$	−27.2023	−	8.83856i	−1.14038	−	0.370532i	−0.322868	−	0.946444i	$-0.604647\pi$
$569$	−27.2023	−	8.83856i	−1.14038	−	0.370532i	−0.817511	+	0.575912i	$0.804647\pi$
$570$	−8.22907	+	0.0982282i	−0.344678	+	0.00411433i
$571$		−	8.74654i		−	0.366031i	−0.983110	−	0.183016i	$-0.941414\pi$
$571$		−	8.74654i		−	0.366031i	0.983110	−	0.183016i	$-0.0585859\pi$
$572$	1.05518	+	0.230685i	0.0441194	+	0.00964543i
$573$	26.9764			1.12696
$574$	8.07115	+	7.12083i	0.336883	+	0.297218i
$575$	−13.3752	+	19.3651i	−0.557784	+	0.807582i
$576$	−0.231684	−	0.713050i	−0.00965349	−	0.0297104i
$577$	13.4356	−	9.76153i	0.559331	−	0.406378i	−0.271883	−	0.962330i	$-0.587646\pi$
$577$	13.4356	−	9.76153i	0.559331	−	0.406378i	0.831214	+	0.555952i	$0.187646\pi$
$578$	13.5188	−	9.82197i	0.562307	−	0.408540i
$579$	5.71041	+	17.5748i	0.237316	+	0.730385i
$580$	5.08295	−	1.71889i	0.211058	−	0.0713731i
$581$	−19.5584	+	22.1686i	−0.811418	+	0.919707i
$582$	−18.2937			−0.758298
$583$	16.8377	−	28.7774i	0.697348	−	1.19184i
$584$			14.1823i			0.586869i
$585$	0.00651662	+	0.545930i	0.000269429	+	0.0225714i
$586$	7.66041	+	2.48902i	0.316448	+	0.102820i
$587$	3.69244	+	11.3642i	0.152403	+	0.469049i	0.997889	−	0.0649498i	$-0.0206887\pi$
$587$	3.69244	+	11.3642i	0.152403	+	0.469049i	−0.845485	+	0.533999i	$0.820689\pi$
$588$	9.50443	−	4.46411i	0.391956	−	0.184097i
$589$	−0.608970	−	0.838176i	−0.0250922	−	0.0345364i
$590$	−4.55013	+	6.42255i	−0.187326	+	0.264412i
$591$	−0.0956794	+	0.294471i	−0.00393572	+	0.0121129i
$592$	−1.90208	+	2.61799i	−0.0781751	+	0.107599i
$593$		−	27.5376i		−	1.13083i	−0.824805	−	0.565417i	$-0.808715\pi$
$593$		−	27.5376i		−	1.13083i	0.824805	−	0.565417i	$-0.191285\pi$
$594$	−18.5646	+	1.84251i	−0.761715	+	0.0755989i
$595$	−1.65304	−	2.72269i	−0.0677679	−	0.111620i
$596$	−5.72621	+	7.88145i	−0.234555	+	0.322837i
$597$	−31.8040	−	10.3337i	−1.30165	−	0.422932i
$598$	−0.473695	−	1.45788i	−0.0193708	−	0.0596173i
$599$	22.5834	−	16.4078i	0.922731	−	0.670404i	−0.0214710	−	0.999769i	$-0.506835\pi$
$599$	22.5834	−	16.4078i	0.922731	−	0.670404i	0.944202	+	0.329366i	$0.106835\pi$
$600$	2.48737	+	7.07597i	0.101547	+	0.288875i
$601$	5.00782	+	15.4125i	0.204273	+	0.628689i	0.999742	+	0.0226947i	$0.00722456\pi$
$601$	5.00782	+	15.4125i	0.204273	+	0.628689i	−0.795469	+	0.605994i	$0.792775\pi$
$602$	0.828129	−	1.91181i	0.0337520	−	0.0779195i
$603$	−1.36704	+	1.88157i	−0.0556701	+	0.0766234i
$604$		−	5.64405i		−	0.229653i
$605$	−2.56261	+	24.4629i	−0.104185	+	0.994558i
$606$	24.5220			0.996140
$607$	5.97460	−	8.22333i	0.242501	−	0.333775i	−0.670366	−	0.742031i	$-0.733863\pi$
$607$	5.97460	−	8.22333i	0.242501	−	0.333775i	0.912867	+	0.408256i	$0.133863\pi$
$608$	−0.758164	+	2.33339i	−0.0307476	+	0.0946314i
$609$	9.29514	−	2.07420i	0.376658	−	0.0840510i
$610$	−2.14353	+	6.87528i	−0.0867890	+	0.278372i
$611$	1.22831	+	1.69063i	0.0496922	+	0.0683954i
$612$	−0.383906	+	0.124738i	−0.0155185	+	0.00504225i
$613$	3.52773	−	10.8572i	0.142484	−	0.438520i	−0.854195	−	0.519953i	$-0.825950\pi$
$613$	3.52773	−	10.8572i	0.142484	−	0.438520i	0.996679	+	0.0814326i	$0.0259495\pi$
$614$	−15.1397	+	20.8380i	−0.610989	+	0.840955i
$615$	−10.9432	+	8.15200i	−0.441271	+	0.328720i
$616$	−8.77488	+	0.0378847i	−0.353550	+	0.00152642i
$617$		−	22.6358i		−	0.911285i	−0.890163	−	0.455642i	$-0.849410\pi$
$617$		−	22.6358i		−	0.911285i	0.890163	−	0.455642i	$-0.150590\pi$
$618$	15.1654	+	11.0183i	0.610041	+	0.443221i
$619$	23.5446	+	7.65009i	0.946336	+	0.307483i	0.741226	−	0.671256i	$-0.234245\pi$
$619$	23.5446	+	7.65009i	0.946336	+	0.307483i	0.205110	+	0.978739i	$0.434245\pi$
$620$	−0.545852	+	0.770475i	−0.0219220	+	0.0309430i
$621$	15.5626	+	21.4201i	0.624508	+	0.859561i
$622$	−15.2219	−	20.9511i	−0.610341	−	0.840062i
$623$	25.7229	−	5.74004i	1.03056	−	0.229970i
$624$	−0.464613	−	0.150962i	−0.0185994	−	0.00604331i
$625$	8.85139	+	23.3806i	0.354056	+	0.935224i
$626$	−0.935404			−0.0373862
$627$	10.5356	+	6.16443i	0.420753	+	0.246184i
$628$	19.1837			0.765515
$629$	1.40953	+	1.02408i	0.0562015	+	0.0408328i
$630$	−1.01763	−	4.31724i	−0.0405434	−	0.172003i
$631$	9.51865	+	29.2954i	0.378932	+	1.16623i	0.940788	+	0.338996i	$0.110087\pi$
$631$	9.51865	+	29.2954i	0.378932	+	1.16623i	−0.561856	+	0.827235i	$0.689913\pi$
$632$	0.136261	+	0.187547i	0.00542016	+	0.00746021i
$633$	−3.83576	−	5.27948i	−0.152458	−	0.209840i
$634$	−18.9502	+	6.15730i	−0.752609	+	0.244538i
$635$	−8.58379	−	25.3832i	−0.340637	−	1.00730i
$636$	−8.86383	+	12.2000i	−0.351474	+	0.483762i
$637$	−0.428772	+	2.23896i	−0.0169886	+	0.0887108i
$638$	−7.77502	−	1.69978i	−0.307816	−	0.0672951i
$639$	−4.22235			−0.167033
$640$	2.23591	−	0.0266895i	0.0883821	−	0.00105499i
$641$	5.84241	−	17.9811i	0.230761	−	0.710210i	−0.766894	−	0.641774i	$-0.778199\pi$
$641$	5.84241	−	17.9811i	0.230761	−	0.710210i	0.997655	−	0.0684367i	$-0.0218011\pi$
$642$	−1.50094	−	4.61942i	−0.0592374	−	0.182314i
$643$	23.5788	−	17.1310i	0.929856	−	0.675580i	−0.0161016	−	0.999870i	$-0.505126\pi$
$643$	23.5788	−	17.1310i	0.929856	−	0.675580i	0.945958	+	0.324290i	$0.105126\pi$
$644$	6.33557	+	10.7216i	0.249656	+	0.422492i
$645$	2.15533	+	1.52697i	0.0848661	+	0.0601244i
$646$	1.25629	+	0.408195i	0.0494283	+	0.0160602i
$647$	−4.93972	−	3.58891i	−0.194200	−	0.141095i	0.486436	−	0.873716i	$-0.338297\pi$
$647$	−4.93972	−	3.58891i	−0.194200	−	0.141095i	−0.680636	+	0.732621i	$0.738297\pi$
$648$	6.18865			0.243113
$649$	10.6926	−	4.68660i	0.419722	−	0.183965i
$650$	−1.56019	−	0.466069i	−0.0611958	−	0.0182807i
$651$	−1.10878	+	1.25675i	−0.0434565	+	0.0492560i
$652$	10.2197	+	3.32057i	0.400233	+	0.130044i
$653$	34.6497	−	11.2584i	1.35595	−	0.440574i	0.461259	−	0.887265i	$-0.347398\pi$
$653$	34.6497	−	11.2584i	1.35595	−	0.440574i	0.894688	+	0.446691i	$0.147398\pi$
$654$	−15.9862	−	22.0031i	−0.625108	−	0.860388i
$655$	−6.78610	+	21.7661i	−0.265155	+	0.850472i
$656$	1.25713	+	3.86905i	0.0490827	+	0.151061i
$657$	10.1127	+	3.28582i	0.394534	+	0.128192i
$658$	−12.7309	−	11.2319i	−0.496301	−	0.437865i
$659$		−	22.5251i		−	0.877454i	−0.898620	−	0.438727i	$-0.855430\pi$
$659$		−	22.5251i		−	0.877454i	0.898620	−	0.438727i	$-0.144570\pi$
$660$	2.24614	−	10.8958i	0.0874307	−	0.424119i
$661$		−	15.4324i		−	0.600250i	−0.953900	−	0.300125i	$-0.902972\pi$
$661$		−	15.4324i		−	0.600250i	0.953900	−	0.300125i	$-0.0970283\pi$
$662$	−11.6838	−	8.48879i	−0.454105	−	0.329926i
$663$	−0.0812778	+	0.250147i	−0.00315657	+	0.00971492i
$664$	−10.6269	+	3.45289i	−0.412404	+	0.133998i
$665$	−5.60997	+	13.3870i	−0.217545	+	0.519125i
$666$	1.42608	+	1.96283i	0.0552593	+	0.0760580i
$667$	3.49038	+	10.7423i	0.135148	+	0.415943i
$668$	−7.52258	−	2.44424i	−0.291057	−	0.0945703i
$669$	−18.5971	−	13.5116i	−0.719004	−	0.522387i
$670$	−4.14380	−	5.56260i	−0.160089	−	0.214902i
$671$	7.97942	−	7.10140i	0.308042	−	0.274147i
$672$	3.95110	+	0.374922i	0.152417	+	0.0144629i
$673$	2.86608	+	2.08233i	0.110479	+	0.0802678i	0.641653	−	0.766995i	$-0.278249\pi$
$673$	2.86608	+	2.08233i	0.110479	+	0.0802678i	−0.531174	+	0.847263i	$0.678249\pi$
$674$	9.72849	−	29.9412i	0.374727	−	1.15329i
$675$	28.1167	−	0.671339i	1.08221	−	0.0258398i
$676$	−10.4314	+	7.57887i	−0.401208	+	0.291495i
$677$	6.39270	+	8.79880i	0.245692	+	0.338165i	0.913997	−	0.405722i	$-0.132980\pi$
$677$	6.39270	+	8.79880i	0.245692	+	0.338165i	−0.668305	+	0.743887i	$0.732980\pi$
$678$	11.9385	−	3.87906i	0.458496	−	0.148974i
$679$	−12.8247	+	29.6069i	−0.492167	+	1.13621i
$680$	−0.0143696	−	1.20381i	−0.000551049	−	0.0461641i
$681$			34.5577i			1.32425i
$682$	1.28273	−	0.562224i	0.0491183	−	0.0215287i
$683$			2.39383i			0.0915974i	0.998951	+	0.0457987i	$0.0145833\pi$
$683$			2.39383i			0.0915974i	−0.998951	+	0.0457987i	$0.985417\pi$
$684$	1.48817	+	1.08122i	0.0569015	+	0.0413413i
$685$	19.1980	−	6.49217i	0.733520	−	0.248053i
$686$	−0.561783	−	18.5117i	−0.0214490	−	0.706781i
$687$	13.7948	+	18.9869i	0.526304	+	0.724395i
$688$	0.637080	−	0.462866i	0.0242884	−	0.0176466i
$689$	−1.01167	−	3.11360i	−0.0385415	−	0.118619i
$690$	−14.9567	+	5.05788i	−0.569392	+	0.192550i
$691$	22.4766	−	30.9364i	0.855049	−	1.17687i	−0.127678	−	0.991816i	$-0.540752\pi$
$691$	22.4766	−	30.9364i	0.855049	−	1.17687i	0.982727	−	0.185059i	$-0.0592475\pi$
$692$		−	19.8277i		−	0.753735i
$693$	−2.00599	+	6.26570i	−0.0762011	+	0.238014i
$694$	5.14714			0.195383
$695$	−47.4838	+	0.566802i	−1.80116	+	0.0215000i
$696$	3.42346	+	1.11235i	0.129766	+	0.0421635i
$697$	2.08310	−	0.676839i	0.0789029	−	0.0256371i
$698$	4.14097	−	3.00859i	0.156738	−	0.113877i
$699$	−1.02324	+	0.743428i	−0.0387025	+	0.0281190i
$700$	13.1957	+	0.934952i	0.498750	+	0.0353379i
$701$	−10.0187	−	3.25527i	−0.378401	−	0.122950i	0.113640	−	0.993522i	$-0.463749\pi$
$701$	−10.0187	−	3.25527i	−0.378401	−	0.122950i	−0.492041	+	0.870572i	$0.663749\pi$
$702$	−1.07673	+	1.48199i	−0.0406384	+	0.0559340i
$703$		−	7.93947i		−	0.299443i
$704$	−2.86262	−	1.67493i	−0.107889	−	0.0631263i
$705$	17.2610	−	12.8584i	0.650086	−	0.484275i
$706$	−2.71214	−	1.97048i	−0.102073	−	0.0741601i
$707$	17.1910	−	39.6870i	0.646536	−	1.49258i
$708$	−5.02190	+	1.63171i	−0.188735	+	0.0613236i
$709$	39.3761	−	28.6084i	1.47880	−	1.07441i	0.500861	−	0.865528i	$-0.333017\pi$
$709$	39.3761	−	28.6084i	1.47880	−	1.07441i	0.977940	−	0.208884i	$-0.0669832\pi$
$710$	3.74819	−	12.0221i	0.140667	−	0.451183i
$711$	0.165300	−	0.0537091i	0.00619922	−	0.00201425i
$712$	9.47390	+	3.07826i	0.355049	+	0.115363i
$713$	−1.60806	−	1.16832i	−0.0602222	−	0.0437540i
$714$	0.201858	−	2.12727i	0.00755433	−	0.0796112i
$715$	1.62707	+	1.78488i	0.0608488	+	0.0667505i
$716$	−11.1412			−0.416367
$717$	−7.34289	+	10.1066i	−0.274225	+	0.377439i
$718$	−14.6734	−	4.76767i	−0.547606	−	0.177928i
$719$	20.8648	−	6.77937i	0.778124	−	0.252828i	0.107085	−	0.994250i	$-0.465848\pi$
$719$	20.8648	−	6.77937i	0.778124	−	0.252828i	0.671039	+	0.741422i	$0.265848\pi$
$720$	0.498993	−	1.60050i	0.0185964	−	0.0596470i
$721$	28.4639	−	16.8197i	1.06005	−	0.626398i
$722$	4.01119	+	12.3452i	0.149281	+	0.459440i
$723$	6.59392	−	20.2940i	0.245230	−	0.754741i
$724$	−10.0233	+	13.7959i	−0.372514	+	0.512721i
$725$	11.4961	+	3.43419i	0.426956	+	0.127543i
$726$	−11.1827	+	12.1338i	−0.415028	+	0.450327i
$727$	19.2838			0.715197			0.357599	−	0.933875i	$-0.383596\pi$
$727$	19.2838			0.715197			0.357599	+	0.933875i	$0.383596\pi$
$728$	−0.570035	+	0.646110i	−0.0211269	+	0.0239464i
$729$	9.25616	−	28.4875i	0.342821	−	1.05509i
$730$	−18.3327	+	25.8767i	−0.678522	+	0.957740i
$731$	−0.249207	−	0.343004i	−0.00921724	−	0.0126864i
$732$	−3.90861	+	2.83977i	−0.144466	+	0.104961i
$733$	20.2610	−	6.58320i	0.748357	−	0.243156i	0.0900830	−	0.995934i	$-0.471287\pi$
$733$	20.2610	−	6.58320i	0.748357	−	0.243156i	0.658274	+	0.752778i	$0.271287\pi$
$734$	3.88417	−	11.9542i	0.143367	−	0.441239i
$735$	23.1121	+	4.14073i	0.852501	+	0.152733i
$736$			4.70703i			0.173504i
$737$	1.01611	+	10.2380i	0.0374289	+	0.377123i
$738$	3.05008			0.112275
$739$	29.1699	−	40.1489i	1.07303	−	1.47690i	0.206062	−	0.978539i	$-0.433935\pi$
$739$	29.1699	−	40.1489i	1.07303	−	1.47690i	0.866969	−	0.498362i	$-0.166065\pi$
$740$	−6.85462	+	2.31801i	−0.251981	+	0.0852119i
$741$	1.13991	−	0.370380i	0.0418758	−	0.0136063i
$742$	13.5309	+	22.8982i	0.496733	+	0.840619i
$743$	−36.3102	+	26.3809i	−1.33209	+	0.967822i	−0.332397	+	0.943140i	$0.607857\pi$
$743$	−36.3102	+	26.3809i	−1.33209	+	0.967822i	−0.999695	+	0.0246822i	$0.992143\pi$
$744$	−0.602447	+	0.195747i	−0.0220868	+	0.00717643i
$745$	−20.6358	+	6.97837i	−0.756037	+	0.255668i
$746$	30.2749	+	21.9960i	1.10844	+	0.805331i
$747$			8.37749i			0.306516i
$748$	−0.901782	+	1.54123i	−0.0329724	+	0.0563531i
$749$	−8.52840	−	0.809263i	−0.311621	−	0.0295698i
$750$	−4.60830	+	16.1259i	−0.168271	+	0.588836i
$751$	−1.54932	+	4.76832i	−0.0565355	+	0.173998i	−0.975337	−	0.220722i	$-0.929159\pi$
$751$	−1.54932	+	4.76832i	−0.0565355	+	0.173998i	0.918801	+	0.394721i	$0.129159\pi$
$752$	−1.98291	−	6.10277i	−0.0723093	−	0.222545i
$753$	8.47512	+	11.6650i	0.308851	+	0.425096i
$754$	−0.632223	+	0.459337i	−0.0230242	+	0.0167281i
$755$	7.29573	−	10.2980i	0.265519	−	0.374782i
$756$	5.91533	−	13.6561i	0.215139	−	0.496666i
$757$	−24.1802	+	33.2812i	−0.878843	+	1.20962i	0.0978964	+	0.995197i	$0.468789\pi$
$757$	−24.1802	+	33.2812i	−0.878843	+	1.20962i	−0.976740	+	0.214428i	$0.931211\pi$
$758$	25.0971			0.911567
$759$	22.8782	+	5.00165i	0.830425	+	0.181549i
$760$	−4.39956	+	3.27741i	−0.159589	+	0.118884i
$761$	36.0123	+	26.1645i	1.30544	+	0.948461i	0.999993	−	0.00374636i	$-0.00119251\pi$
$761$	36.0123	+	26.1645i	1.30544	+	0.948461i	0.305452	+	0.952208i	$0.401193\pi$
$762$	5.55485	−	17.0961i	0.201231	−	0.619325i
$763$	−46.8173	+	10.4472i	−1.69490	+	0.378216i
$764$	14.5488	−	10.5703i	0.526355	−	0.382420i
$765$	−0.861707	−	0.268658i	−0.0311551	−	0.00971334i
$766$	−5.86432	−	18.0485i	−0.211887	−	0.652120i
$767$	0.354240	−	1.09024i	0.0127909	−	0.0393662i
$768$	1.21359	+	0.881728i	0.0437918	+	0.0318166i
$769$	−19.1126			−0.689217			−0.344609	−	0.938746i	$-0.611988\pi$
$769$	−19.1126			−0.689217			−0.344609	+	0.938746i	$0.611988\pi$
$770$	−16.0594	−	11.2737i	−0.578741	−	0.406274i
$771$	22.9181			0.825374
$772$	9.96613	+	7.24082i	0.358689	+	0.260603i
$773$	−13.2208	+	40.6895i	−0.475520	+	1.46350i	0.369736	+	0.929137i	$0.379448\pi$
$773$	−13.2208	+	40.6895i	−0.475520	+	1.46350i	−0.845256	+	0.534362i	$0.820552\pi$
$774$	−0.182445	−	0.561508i	−0.00655785	−	0.0201830i
$775$	−1.99190	+	0.700199i	−0.0715511	+	0.0251519i
$776$	−9.86605	+	7.16810i	−0.354170	+	0.257320i
$777$	−12.5350	+	2.79717i	−0.449689	+	0.100348i
$778$	−4.11649	+	12.6693i	−0.147583	+	0.454215i
$779$	−8.07489	−	5.86675i	−0.289313	−	0.210198i
$780$	−0.652582	−	0.876020i	−0.0233662	−	0.0313665i
$781$	−13.9529	+	12.4176i	−0.499273	+	0.444335i
$782$	2.53426			0.0906251
$783$	7.93377	−	10.9199i	0.283530	−	0.390245i
$784$	3.37668	−	6.13172i	0.120596	−	0.218990i
$785$	35.0022	+	24.7977i	1.24928	+	0.885068i
$786$	−12.3741	+	8.99029i	−0.441369	+	0.320673i
$787$	−4.14868	−	5.71017i	−0.147885	−	0.203546i	0.728648	−	0.684889i	$-0.240149\pi$
$787$	−4.14868	−	5.71017i	−0.147885	−	0.203546i	−0.876532	+	0.481343i	$0.840149\pi$
$788$	0.0637826	+	0.196303i	0.00227216	+	0.00699300i
$789$	0.649615	−	1.99931i	0.0231269	−	0.0711773i
$790$	0.00618717	+	0.518330i	0.000220130	+	0.0184413i
$791$	2.09148	−	22.0410i	0.0743643	−	0.783687i
$792$	−1.85753	+	1.65314i	−0.0660045	+	0.0587417i
$793$		−	1.04886i		−	0.0372461i
$794$	26.3331	+	19.1321i	0.934525	+	0.678972i
$795$	−31.9430	+	10.8021i	−1.13290	+	0.383111i
$796$	−21.2015	+	6.88878i	−0.751466	+	0.244166i
$797$	4.11659	−	2.99088i	0.145817	−	0.105942i	−0.512485	−	0.858696i	$-0.671275\pi$
$797$	4.11659	−	2.99088i	0.145817	−	0.105942i	0.658302	+	0.752754i	$0.271275\pi$
$798$	−8.38322	+	4.95376i	−0.296763	+	0.175361i
$799$	−3.28573	+	1.06760i	−0.116241	+	0.0377689i
$800$	4.11408	+	2.84153i	0.145455	+	0.100463i
$801$	4.38990	−	6.04218i	0.155109	−	0.213490i
$802$	18.2893			0.645819
$803$	43.0810	−	18.8825i	1.52030	−	0.666349i
$804$		−	4.65334i		−	0.164111i
$805$	−2.29953	+	27.7521i	−0.0810478	+	0.978132i
$806$	0.0424960	−	0.130789i	0.00149686	−	0.00460686i
$807$	17.1195	−	5.56247i	0.602636	−	0.195808i
$808$	13.2251	−	9.60858i	0.465257	−	0.338029i
$809$	8.93070	+	12.2921i	0.313987	+	0.432166i	0.936619	−	0.350349i	$-0.113937\pi$
$809$	8.93070	+	12.2921i	0.313987	+	0.432166i	−0.622633	+	0.782514i	$0.713937\pi$
$810$	11.2917	+	7.99971i	0.396748	+	0.281081i
$811$	−5.34308	+	16.4443i	−0.187621	+	0.577438i	−0.999984	−	0.00571471i	$-0.998181\pi$
$811$	−5.34308	+	16.4443i	−0.187621	+	0.577438i	0.812363	+	0.583152i	$0.198181\pi$
$812$	4.20026	−	4.76080i	0.147400	−	0.167072i
$813$	−37.4030			−1.31178
$814$	10.4850	+	2.29225i	0.367499	+	0.0803432i
$815$	14.3543	+	19.2690i	0.502808	+	0.674965i
$816$	0.474722	−	0.653399i	0.0166186	−	0.0228735i
$817$	−0.597034	+	1.83748i	−0.0208876	+	0.0642854i
$818$	−7.94158	−	24.4417i	−0.277671	−	0.854583i
$819$	0.328640	+	0.556156i	0.0114836	+	0.0194337i
$820$	−2.70757	+	8.68440i	−0.0945524	+	0.303272i
$821$	48.4617	−	15.7462i	1.69132	−	0.549545i	0.704271	−	0.709932i	$-0.251274\pi$
$821$	48.4617	−	15.7462i	1.69132	−	0.549545i	0.987054	+	0.160387i	$0.0512741\pi$
$822$	12.9302	+	4.20129i	0.450994	+	0.146537i
$823$	26.8446	−	36.9484i	0.935743	−	1.28794i	−0.0218344	−	0.999762i	$-0.506951\pi$
$823$	26.8446	−	36.9484i	0.935743	−	1.28794i	0.957577	−	0.288178i	$-0.0930493\pi$
$824$	12.4962			0.435327
$825$	18.1826	−	16.9768i	0.633038	−	0.591056i
$826$	−0.879772	+	9.27147i	−0.0306112	+	0.322596i
$827$	34.3516	+	24.9579i	1.19452	+	0.867872i	0.993735	−	0.111763i	$-0.0356496\pi$
$827$	34.3516	+	24.9579i	1.19452	+	0.867872i	0.200788	+	0.979635i	$0.435650\pi$
$828$	3.35635	+	1.09054i	0.116641	+	0.0378990i
$829$	39.6396	−	12.8797i	1.37674	−	0.447331i	0.475145	−	0.879908i	$-0.342396\pi$
$829$	39.6396	−	12.8797i	1.37674	−	0.447331i	0.901597	+	0.432577i	$0.142396\pi$
$830$	−23.8529	−	7.43672i	−0.827948	−	0.258132i
$831$	9.33290	−	6.78075i	0.323755	−	0.235222i
$832$	−0.309724	+	0.100636i	−0.0107378	+	0.00348891i
$833$	−3.30132	−	1.81800i	−0.114384	−	0.0629901i
$834$	−25.7730	−	18.7252i	−0.892447	−	0.648400i
$835$	−10.5660	−	14.1837i	−0.365652	−	0.490847i
$836$	8.09745	−	0.803659i	0.280056	−	0.0277951i
$837$			2.37528i			0.0821016i
$838$	0.0447652	−	0.0616140i	0.00154639	−	0.00212842i
$839$	−39.9478	−	12.9798i	−1.37915	−	0.448113i	−0.476761	−	0.879033i	$-0.658189\pi$
$839$	−39.9478	−	12.9798i	−1.37915	−	0.448113i	−0.902390	+	0.430920i	$0.858189\pi$
$840$	6.72445	+	5.79144i	0.232016	+	0.199823i
$841$	−18.8030	+	13.6612i	−0.648380	+	0.471075i
$842$	−2.05018	+	1.48954i	−0.0706539	+	0.0513330i
$843$	17.7302	−	5.76091i	0.610662	−	0.198416i
$844$	−4.13736	−	1.34431i	−0.142414	−	0.0462731i
$845$	−28.8297	+	0.344132i	−0.991771	+	0.0118385i
$846$	−4.81099			−0.165405
$847$	11.7981	+	26.6046i	0.405386	+	0.914146i
$848$			10.0528i			0.345215i
$849$	19.7674	−	27.2075i	0.678416	−	0.933760i
$850$	1.52988	−	2.21502i	0.0524744	−	0.0759746i
$851$	−4.70696	−	14.4865i	−0.161352	−	0.496592i
$852$	6.83462	−	4.96564i	0.234150	−	0.170120i
$853$	−4.59884	−	6.32976i	−0.157461	−	0.216727i	0.722996	−	0.690852i	$-0.242764\pi$
$853$	−4.59884	−	6.32976i	−0.157461	−	0.216727i	−0.880457	+	0.474125i	$0.842764\pi$
$854$	1.85584	+	8.31659i	0.0635056	+	0.284588i
$855$	1.31765	+	3.89643i	0.0450626	+	0.133255i
$856$	−2.61953	−	1.90320i	−0.0895336	−	0.0650500i
$857$		−	7.83870i		−	0.267765i	−0.990997	−	0.133882i	$-0.957256\pi$
$857$		−	7.83870i		−	0.267765i	0.990997	−	0.133882i	$-0.0427445\pi$
$858$	0.160021	+	1.61233i	0.00546302	+	0.0550439i
$859$		−	39.2036i		−	1.33761i	−0.743438	−	0.668805i	$-0.766806\pi$
$859$		−	39.2036i		−	1.33761i	0.743438	−	0.668805i	$-0.233194\pi$
$860$	1.76072	−	0.0210173i	0.0600401	−	0.000716683i
$861$	−6.41765	+	14.8157i	−0.218713	+	0.504918i
$862$	17.0007	−	5.52385i	0.579045	−	0.188143i
$863$	−11.4844	−	15.8070i	−0.390935	−	0.538075i	0.567505	−	0.823370i	$-0.307909\pi$
$863$	−11.4844	−	15.8070i	−0.390935	−	0.538075i	−0.958440	+	0.285294i	$0.907909\pi$
$864$	4.55067	−	3.30625i	0.154817	−	0.112481i
$865$	25.6301	−	36.1771i	0.871449	−	1.23006i
$866$	0.0743891	−	0.228946i	0.00252784	−	0.00777991i
$867$	20.2793	+	14.7338i	0.688722	+	0.500386i
$868$	−0.105541	+	1.11224i	−0.00358230	+	0.0377520i
$869$	0.388283	−	0.663615i	0.0131716	−	0.0225116i
$870$	4.80850	+	6.45488i	0.163023	+	0.218841i
$871$	0.817289	+	0.593795i	0.0276928	+	0.0201200i
$872$	−17.2431	−	5.60263i	−0.583926	−	0.189729i
$873$	2.82541	+	8.69572i	0.0956256	+	0.294305i
$874$	−6.78807	−	9.34298i	−0.229610	−	0.316031i
$875$	22.8680	+	18.7632i	0.773078	+	0.634311i
$876$	−20.2334	+	6.57424i	−0.683624	+	0.222123i
$877$	6.70334	−	20.6308i	0.226356	−	0.696651i	−0.771795	−	0.635871i	$-0.780641\pi$
$877$	6.70334	−	20.6308i	0.226356	−	0.696651i	0.998151	−	0.0607804i	$-0.0193589\pi$
$878$	−12.1765	−	8.84671i	−0.410935	−	0.298562i
$879$			12.0826i			0.407537i
$880$	−3.05799	−	6.75638i	−0.103085	−	0.227758i
$881$		−	20.0203i		−	0.674503i	−0.941415	−	0.337251i	$-0.890503\pi$
$881$		−	20.0203i		−	0.674503i	0.941415	−	0.337251i	$-0.109497\pi$
$882$	−3.58990	−	3.82836i	−0.120878	−	0.128908i
$883$	−26.8896	−	8.73697i	−0.904908	−	0.294023i	−0.180647	−	0.983548i	$-0.557819\pi$
$883$	−26.8896	−	8.73697i	−0.904908	−	0.294023i	−0.724261	+	0.689525i	$0.757819\pi$
$884$	0.0541822	+	0.166756i	0.00182234	+	0.00560860i
$885$	−11.2721	−	3.51433i	−0.378906	−	0.118133i
$886$	12.7176	+	17.5043i	0.427257	+	0.588068i
$887$	3.39804	−	1.10409i	0.114095	−	0.0370717i	−0.251413	−	0.967880i	$-0.580895\pi$
$887$	3.39804	−	1.10409i	0.114095	−	0.0370717i	0.365508	+	0.930808i	$0.380895\pi$
$888$	−4.61671	−	1.50006i	−0.154927	−	0.0503388i
$889$	−23.7745	−	20.9752i	−0.797370	−	0.703486i
$890$	13.3068	+	17.8629i	0.446044	+	0.598765i
$891$	−8.23964	−	18.7990i	−0.276038	−	0.629789i
$892$	−15.3240			−0.513084
$893$	12.7368	+	9.25380i	0.426219	+	0.309666i
$894$	−13.8986	−	4.51592i	−0.464838	−	0.151035i
$895$	−20.3280	−	14.4016i	−0.679490	−	0.481392i
$896$	2.27779	−	1.34598i	0.0760957	−	0.0449660i
$897$	1.86033	−	1.35161i	0.0621146	−	0.0451289i
$898$	−10.7707	−	33.1488i	−0.359423	−	1.10619i
$899$	−0.313129	+	0.963711i	−0.0104434	+	0.0321415i
$900$	2.97932	−	2.27521i	0.0993107	−	0.0758403i
$901$	5.41242			0.180314
$902$	10.0791	−	8.97003i	0.335597	−	0.298669i
$903$	3.11139	+	0.295241i	0.103541	+	0.00982501i
$904$	4.91866	−	6.76996i	0.163592	−	0.225166i
$905$	−36.1215	+	12.2151i	−1.20072	+	0.406045i
$906$	8.05217	−	2.61631i	0.267515	−	0.0869210i
$907$	29.8232	+	41.0481i	0.990263	+	1.36298i	0.931113	+	0.364732i	$0.118839\pi$
$907$	29.8232	+	41.0481i	0.990263	+	1.36298i	0.0591508	+	0.998249i	$0.481161\pi$
$908$	13.5409	+	18.6374i	0.449370	+	0.618505i
$909$	−3.78736	−	11.6563i	−0.125619	−	0.386615i
$910$	−1.87526	+	0.442025i	−0.0621643	+	0.0146530i
$911$	−6.36351	−	4.62336i	−0.210832	−	0.153179i	0.477358	−	0.878709i	$-0.341595\pi$
$911$	−6.36351	−	4.62336i	−0.210832	−	0.153179i	−0.688190	+	0.725530i	$0.741595\pi$
$912$	−3.68041			−0.121871
$913$	24.6375	+	27.6836i	0.815381	+	0.916195i
$914$	−38.4515			−1.27186
$915$	−10.8024	+	0.128945i	−0.357115	+	0.00426279i
$916$	14.8794	+	4.83462i	0.491630	+	0.159740i
$917$	5.87532	+	26.3291i	0.194020	+	0.869463i
$918$	−1.78009	−	2.45008i	−0.0587516	−	0.0808646i
$919$	−5.87938	−	8.09228i	−0.193943	−	0.266940i	0.700960	−	0.713201i	$-0.252755\pi$
$919$	−5.87938	−	8.09228i	−0.193943	−	0.266940i	−0.894903	+	0.446261i	$0.852755\pi$
$920$	−6.08451	+	8.58834i	−0.200600	+	0.283149i
$921$	−36.7470	−	11.9398i	−1.21085	−	0.393430i
$922$	−17.5177	−	12.7274i	−0.576916	−	0.419154i
$923$			1.83404i			0.0603683i
$924$	−4.12166	−	12.5013i	−0.135593	−	0.411261i
$925$	−15.5031	−	4.63118i	−0.509740	−	0.152272i
$926$	6.69231	−	9.21118i	0.219923	−	0.302698i
$927$	2.89518	−	8.91044i	0.0950901	−	0.292657i
$928$	2.28218	−	0.741525i	0.0749162	−	0.0243417i
$929$	14.4883	+	19.9414i	0.475345	+	0.654256i	0.977602	−	0.210462i	$-0.0674969\pi$
$929$	14.4883	+	19.9414i	0.475345	+	0.654256i	−0.502257	+	0.864718i	$0.667497\pi$
$930$	−1.35224	−	0.421593i	−0.0443418	−	0.0138246i
$931$	2.14026	+	17.0404i	0.0701443	+	0.558477i
$932$	−0.260547	+	0.801883i	−0.00853452	+	0.0262665i
$933$	22.8341	−	31.4284i	0.747554	−	1.02892i
$934$	−10.2512			−0.335430
$935$	−3.63763	+	1.64642i	−0.118963	+	0.0538437i
$936$			0.244165i			0.00798077i
$937$	−5.55066	+	7.63983i	−0.181332	+	0.249582i	−0.890001	−	0.455959i	$-0.849296\pi$
$937$	−5.55066	+	7.63983i	−0.181332	+	0.249582i	0.708668	+	0.705542i	$0.249296\pi$
$938$	−7.53107	−	3.26220i	−0.245898	−	0.106515i
$939$	−0.433608	−	1.33451i	−0.0141503	−	0.0435500i
$940$	4.27073	−	13.6982i	0.139296	−	0.446785i
$941$	−29.7671	+	21.6271i	−0.970380	+	0.705022i	−0.955538	−	0.294868i	$-0.904724\pi$
$941$	−29.7671	+	21.6271i	−0.970380	+	0.705022i	−0.0148418	+	0.999890i	$0.504724\pi$
$942$	8.89266	+	27.3688i	0.289738	+	0.891723i
$943$	−18.2118	−	5.91736i	−0.593056	−	0.192696i
$944$	−2.06902	+	2.84776i	−0.0673408	+	0.0926867i
$945$	28.4454	−	17.2701i	0.925328	−	0.561797i
$946$	−2.25424	−	1.31896i	−0.0732917	−	0.0428832i
$947$		−	36.4830i		−	1.18554i	−0.805372	−	0.592770i	$-0.798034\pi$
$947$		−	36.4830i		−	1.18554i	0.805372	−	0.592770i	$-0.201966\pi$
$948$	−0.204403	+	0.281336i	−0.00663869	+	0.00913737i
$949$	1.42725	−	4.39261i	0.0463304	−	0.142590i
$950$	−12.2638	+	0.292823i	−0.397892	+	0.00950042i
$951$	−17.5688	−	24.1814i	−0.569708	−	0.784136i
$952$	−0.724674	−	1.22636i	−0.0234868	−	0.0397466i
$953$	0.742332	+	2.28466i	0.0240465	+	0.0740075i	0.962360	−	0.271779i	$-0.0876121\pi$
$953$	0.742332	+	2.28466i	0.0240465	+	0.0740075i	−0.938313	+	0.345787i	$0.887612\pi$
$954$	7.16815	+	2.32907i	0.232077	+	0.0754065i
$955$	40.2089	−	0.479963i	1.30113	−	0.0155312i
$956$			8.32784i			0.269342i
$957$	−1.17910	−	11.8803i	−0.0381149	−	0.384035i
$958$	−29.4938			−0.952900
$959$	15.8641	−	17.9813i	0.512280	−	0.580647i
$960$	1.07454	+	3.17752i	0.0346805	+	0.102554i
$961$	9.52442	+	29.3132i	0.307239	+	0.945586i
$962$	0.852585	−	0.619439i	0.0274884	−	0.0199715i
$963$	−1.96398	+	1.42691i	−0.0632883	+	0.0459816i
$964$	−4.39569	−	13.5286i	−0.141576	−	0.435725i
$965$	8.82417	+	26.0941i	0.284060	+	0.839997i
$966$	−12.3593	+	14.0088i	−0.397655	+	0.450725i
$967$	−5.56857			−0.179073			−0.0895366	−	0.995984i	$-0.528539\pi$
$967$	−5.56857			−0.179073			−0.0895366	+	0.995984i	$0.528539\pi$
$968$	−1.27653	+	10.9257i	−0.0410293	+	0.351165i
$969$			1.98153i			0.0636560i
$970$	−27.2671	+	0.325481i	−0.875495	+	0.0104506i
$971$	−55.5827	−	18.0599i	−1.78373	−	0.579570i	−0.784553	−	0.620062i	$-0.787107\pi$
$971$	−55.5827	−	18.0599i	−1.78373	−	0.579570i	−0.999180	+	0.0404922i	$0.987107\pi$
$972$	−2.34584	−	7.21976i	−0.0752430	−	0.231574i
$973$	−48.3733	+	28.5845i	−1.55078	+	0.916376i
$974$	10.9009	+	15.0038i	0.349288	+	0.480753i
$975$	−0.0583054	−	2.44192i	−0.00186727	−	0.0782040i
$976$	−0.995247	+	3.06306i	−0.0318571	+	0.0980460i
$977$	1.27013	−	1.74818i	0.0406351	−	0.0559294i	−0.788216	−	0.615399i	$-0.788995\pi$
$977$	1.27013	−	1.74818i	0.0406351	−	0.0559294i	0.828851	+	0.559469i	$0.188995\pi$
$978$			16.1193i			0.515439i
$979$	−3.26298	−	32.8769i	−0.104285	−	1.05075i
$980$	14.0871	−	6.82295i	0.449997	−	0.217951i
$981$	−7.98991	+	10.9972i	−0.255098	+	0.351112i
$982$	−0.239562	−	0.0778386i	−0.00764474	−	0.00248393i
$983$	12.6820	+	39.0311i	0.404492	+	1.24490i	0.921318	+	0.388809i	$0.127113\pi$
$983$	12.6820	+	39.0311i	0.404492	+	1.24490i	−0.516826	+	0.856090i	$0.672887\pi$
$984$	−4.93710	+	3.58701i	−0.157389	+	0.114350i
$985$	−0.137373	+	0.440617i	−0.00437707	+	0.0140392i
$986$	−0.399237	−	1.22872i	−0.0127143	−	0.0391306i
$987$	10.1227	−	23.3692i	0.322210	−	0.743851i
$988$	0.469644	−	0.646409i	0.0149414	−	0.0205650i
$989$			3.70667i			0.117865i
$990$	−5.52612	+	0.615152i	−0.175632	+	0.0195508i
$991$	−38.7228			−1.23007			−0.615035	−	0.788499i	$-0.710858\pi$
$991$	−38.7228			−1.23007			−0.615035	+	0.788499i	$0.710858\pi$
$992$	−0.248208	+	0.341629i	−0.00788061	+	0.0108467i
$993$	6.69461	−	20.6039i	0.212447	−	0.653845i
$994$	−3.24513	−	14.5424i	−0.102929	−	0.461258i
$995$	−47.5884	−	14.8368i	−1.50865	−	0.470359i
$996$	−9.85224	−	13.5604i	−0.312180	−	0.429679i
$997$	−24.4555	+	7.94609i	−0.774515	+	0.251655i	−0.669496	−	0.742815i	$-0.733490\pi$
$997$	−24.4555	+	7.94609i	−0.774515	+	0.251655i	−0.105018	+	0.994470i	$0.533490\pi$
$998$	6.64170	−	20.4410i	0.210239	−	0.647050i
$999$	−10.6991	+	14.7260i	−0.338504	+	0.465911i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	770.2.w.b.139.7	yes	96
5.4	even	2		770.2.w.a.139.18	yes	96
7.6	odd	2	inner	770.2.w.b.139.18	yes	96
11.8	odd	10		770.2.w.a.349.7	yes	96
35.34	odd	2		770.2.w.a.139.7	✓	96
55.19	odd	10	inner	770.2.w.b.349.18	yes	96
77.41	even	10		770.2.w.a.349.18	yes	96
385.349	even	10	inner	770.2.w.b.349.7	yes	96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
770.2.w.a.139.7	✓	96	35.34	odd	2
770.2.w.a.139.18	yes	96	5.4	even	2
770.2.w.a.349.7	yes	96	11.8	odd	10
770.2.w.a.349.18	yes	96	77.41	even	10
770.2.w.b.139.7	yes	96	1.1	even	1	trivial
770.2.w.b.139.18	yes	96	7.6	odd	2	inner
770.2.w.b.349.7	yes	96	385.349	even	10	inner
770.2.w.b.349.18	yes	96	55.19	odd	10	inner

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:	\( N \)	\(=\)	\( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	770.w (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.809017 + 0.587785i) q^{2} +(-0.463552 + 1.42667i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.665551 + 2.13472i) q^{5} +(-1.21359 + 0.881728i) q^{6} +(0.576225 + 2.58224i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(0.606556 + 0.440689i) q^{9} +O(q^{10})\)	\(q+(0.809017 + 0.587785i) q^{2} +(-0.463552 + 1.42667i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.665551 + 2.13472i) q^{5} +(-1.21359 + 0.881728i) q^{6} +(0.576225 + 2.58224i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(0.606556 + 0.440689i) q^{9} +(-1.79320 + 1.33583i) q^{10} +(3.30041 - 0.327560i) q^{11} -1.50009 q^{12} +(0.191420 - 0.263467i) q^{13} +(-1.05163 + 2.42777i) q^{14} +(-2.73702 - 1.93907i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(0.316463 + 0.435574i) q^{17} +(0.231684 + 0.713050i) q^{18} +(0.758164 - 2.33339i) q^{19} +(-2.23591 + 0.0266895i) q^{20} +(-3.95110 - 0.374922i) q^{21} +(2.86262 + 1.67493i) q^{22} -4.70703i q^{23} +(-1.21359 - 0.881728i) q^{24} +(-4.11408 - 2.84153i) q^{25} +(0.309724 - 0.100636i) q^{26} +(-4.55067 + 3.30625i) q^{27} +(-2.27779 + 1.34598i) q^{28} +(-2.28218 + 0.741525i) q^{29} +(-1.07454 - 3.17752i) q^{30} +(0.248208 - 0.341629i) q^{31} -1.00000 q^{32} +(-1.06259 + 4.86042i) q^{33} +0.538400i q^{34} +(-5.89587 - 0.488531i) q^{35} +(-0.231684 + 0.713050i) q^{36} +(3.07763 - 0.999984i) q^{37} +(1.98490 - 1.44211i) q^{38} +(0.287147 + 0.395224i) q^{39} +(-1.82458 - 1.29264i) q^{40} +(1.25713 - 3.86905i) q^{41} +(-2.97614 - 2.62572i) q^{42} -0.787474 q^{43} +(1.33141 + 3.03765i) q^{44} +(-1.34444 + 1.00153i) q^{45} +(2.76672 - 3.80807i) q^{46} +(-1.98291 + 6.10277i) q^{47} +(-0.463552 - 1.42667i) q^{48} +(-6.33593 + 2.97590i) q^{49} +(-1.65815 - 4.71705i) q^{50} +(-0.768116 + 0.249576i) q^{51} +(0.309724 + 0.100636i) q^{52} +(5.90889 - 8.13289i) q^{53} -5.62494 q^{54} +(-1.49734 + 7.26347i) q^{55} +(-2.63392 - 0.249934i) q^{56} +(2.97752 + 2.16329i) q^{57} +(-2.28218 - 0.741525i) q^{58} +(3.34774 - 1.08775i) q^{59} +(0.998383 - 3.20227i) q^{60} +(2.60559 - 1.89307i) q^{61} +(0.401609 - 0.130491i) q^{62} +(-0.788452 + 1.82021i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(0.435030 + 0.583980i) q^{65} +(-3.71654 + 3.30759i) q^{66} +3.10205i q^{67} +(-0.316463 + 0.435574i) q^{68} +(6.71536 + 2.18195i) q^{69} +(-4.48271 - 3.86074i) q^{70} +(-4.55615 + 3.31024i) q^{71} +(-0.606556 + 0.440689i) q^{72} +(13.4882 - 4.38258i) q^{73} +(3.07763 + 0.999984i) q^{74} +(5.96101 - 4.55223i) q^{75} +2.45347 q^{76} +(2.74762 + 8.33370i) q^{77} +0.488523i q^{78} +(0.136261 - 0.187547i) q^{79} +(-0.716317 - 2.11823i) q^{80} +(-1.91240 - 5.88575i) q^{81} +(3.29121 - 2.39121i) q^{82} +(6.56779 + 9.03978i) q^{83} +(-0.864387 - 3.87358i) q^{84} +(-1.14045 + 0.385665i) q^{85} +(-0.637080 - 0.462866i) q^{86} -3.59964i q^{87} +(-0.708354 + 3.24010i) q^{88} -9.96145i q^{89} +(-1.67636 + 0.0200103i) q^{90} +(0.790637 + 0.342477i) q^{91} +(4.47665 - 1.45455i) q^{92} +(0.372333 + 0.512472i) q^{93} +(-5.19133 + 3.77172i) q^{94} +(4.47654 + 3.17146i) q^{95} +(0.463552 - 1.42667i) q^{96} +(9.86605 + 7.16810i) q^{97} +(-6.87507 - 1.31661i) q^{98} +(2.14624 + 1.25577i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q + 24 q^{2} - 24 q^{4} + 3 q^{7} + 24 q^{8} - 18 q^{9}+O(q^{10}) \) 96 * q + 24 * q^2 - 24 * q^4 + 3 * q^7 + 24 * q^8 - 18 * q^9	\( 96 q + 24 q^{2} - 24 q^{4} + 3 q^{7} + 24 q^{8} - 18 q^{9} + 4 q^{11} - 3 q^{14} - 6 q^{15} - 24 q^{16} + 28 q^{18} - 4 q^{22} + 38 q^{25} - 2 q^{28} + 6 q^{30} - 96 q^{32} + 46 q^{35} - 28 q^{36} + 10 q^{39} - 24 q^{43} - 16 q^{44} + 37 q^{49} - 8 q^{50} - 30 q^{51} + 40 q^{53} + 2 q^{56} - 20 q^{57} + 14 q^{60} + 63 q^{63} - 24 q^{64} - 40 q^{65} + 39 q^{70} - 20 q^{71} + 18 q^{72} - 16 q^{77} - 126 q^{81} + 60 q^{85} - 36 q^{86} - 14 q^{88} - 31 q^{91} - 10 q^{92} + 20 q^{93} - 44 q^{95} + 18 q^{98} + 100 q^{99}+O(q^{100}) \) 96 * q + 24 * q^2 - 24 * q^4 + 3 * q^7 + 24 * q^8 - 18 * q^9 + 4 * q^11 - 3 * q^14 - 6 * q^15 - 24 * q^16 + 28 * q^18 - 4 * q^22 + 38 * q^25 - 2 * q^28 + 6 * q^30 - 96 * q^32 + 46 * q^35 - 28 * q^36 + 10 * q^39 - 24 * q^43 - 16 * q^44 + 37 * q^49 - 8 * q^50 - 30 * q^51 + 40 * q^53 + 2 * q^56 - 20 * q^57 + 14 * q^60 + 63 * q^63 - 24 * q^64 - 40 * q^65 + 39 * q^70 - 20 * q^71 + 18 * q^72 - 16 * q^77 - 126 * q^81 + 60 * q^85 - 36 * q^86 - 14 * q^88 - 31 * q^91 - 10 * q^92 + 20 * q^93 - 44 * q^95 + 18 * q^98 + 100 * q^99

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