LMFDB - Embedded newform 357.2.bl.a.10.4

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [357,2,Mod(10,357)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("357.10"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(357, base_ring=CyclotomicField(48)) chi = DirichletCharacter(H, H._module([0, 8, 9])) N = Newforms(chi, 2, names="a")

Level:	$N$	$=$	$357 = 3 \cdot 7 \cdot 17$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	357.bl (of order $48$ , degree $16$ , minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$2.85065935216$
Analytic rank:	$0$
Dimension:	$384$
Relative dimension:	$24$ over $\Q(\zeta_{48})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label			10.4
Character	$\chi$	$=$	357.10
Dual form			357.2.bl.a.250.4

$q$ -expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.23347 + 0.294042i) q^{2} +(-0.442289 - 0.896873i) q^{3} +(2.97008 - 0.795831i) q^{4} +(1.86915 - 1.63920i) q^{5} +(1.25156 + 1.87309i) q^{6} +(2.39791 + 1.11804i) q^{7} +(-2.23706 + 0.926619i) q^{8} +(-0.608761 + 0.793353i) q^{9} +(-3.69270 + 4.21072i) q^{10} +(1.19942 - 0.0786142i) q^{11} +(-2.02739 - 2.31180i) q^{12} +(3.27855 + 3.27855i) q^{13} +(-5.68442 - 1.79203i) q^{14} +(-2.29686 - 0.951390i) q^{15} +(-0.601870 + 0.347490i) q^{16} +(-3.09286 - 2.72658i) q^{17} +(1.12637 - 1.95093i) q^{18} +(0.191164 + 1.45204i) q^{19} +(4.24700 - 6.35609i) q^{20} +(-0.0578286 - 2.64512i) q^{21} +(-2.65575 + 0.528262i) q^{22} +(1.52308 + 0.751098i) q^{23} +(1.82048 + 1.59652i) q^{24} +(0.154113 - 1.17061i) q^{25} +(-8.28657 - 6.35851i) q^{26} +(0.980785 + 0.195090i) q^{27} +(8.01177 + 1.41234i) q^{28} +(0.884272 + 4.44554i) q^{29} +(5.40972 + 1.44953i) q^{30} +(8.45772 - 4.17089i) q^{31} +(5.08409 - 3.90116i) q^{32} +(-0.600997 - 1.04096i) q^{33} +(7.70954 + 5.18030i) q^{34} +(6.31476 - 1.84087i) q^{35} +(-1.17670 + 2.84079i) q^{36} +(0.544354 - 8.30524i) q^{37} +(-0.853919 - 3.18687i) q^{38} +(1.49038 - 4.39050i) q^{39} +(-2.66248 + 5.39897i) q^{40} +(-1.47694 + 7.42507i) q^{41} +(0.906935 + 5.89079i) q^{42} +(-0.593714 - 1.43335i) q^{43} +(3.49981 - 1.18803i) q^{44} +(0.162599 + 2.48078i) q^{45} +(-3.62260 - 1.22971i) q^{46} +(2.34351 - 8.74609i) q^{47} +(0.577855 + 0.386110i) q^{48} +(4.49997 + 5.36193i) q^{49} +2.65983i q^{50} +(-1.07745 + 3.97984i) q^{51} +(12.3467 + 7.12838i) q^{52} +(-3.32385 - 4.33173i) q^{53} +(-2.24792 - 0.147336i) q^{54} +(2.11303 - 2.11303i) q^{55} +(-6.40026 - 0.279170i) q^{56} +(1.21774 - 0.813669i) q^{57} +(-3.28217 - 9.66897i) q^{58} +(4.82428 + 0.635129i) q^{59} +(-7.57900 - 0.997795i) q^{60} +(1.47341 + 4.34053i) q^{61} +(-17.6637 + 11.8025i) q^{62} +(-2.34676 + 1.22177i) q^{63} +(-9.22521 + 9.22521i) q^{64} +(11.5023 + 0.753901i) q^{65} +(1.64839 + 2.14823i) q^{66} +(-12.3210 - 7.11354i) q^{67} +(-11.3559 - 5.63676i) q^{68} -1.69821i q^{69} +(-13.5625 + 5.96834i) q^{70} +(-4.33951 - 2.89957i) q^{71} +(0.626697 - 2.33886i) q^{72} +(-11.8716 - 4.02985i) q^{73} +(1.22629 + 18.7096i) q^{74} +(-1.11805 + 0.379526i) q^{75} +(1.72335 + 4.16053i) q^{76} +(2.96400 + 1.15249i) q^{77} +(-2.03772 + 10.2443i) q^{78} +(4.24350 - 8.60496i) q^{79} +(-0.555380 + 1.63610i) q^{80} +(-0.258819 - 0.965926i) q^{81} +(1.11542 - 17.0180i) q^{82} +(-0.694293 + 1.67617i) q^{83} +(-2.27682 - 7.81020i) q^{84} +(-10.2504 - 0.0265586i) q^{85} +(1.74751 + 3.02678i) q^{86} +(3.59598 - 2.75929i) q^{87} +(-2.61032 + 1.28727i) q^{88} +(-0.811824 - 0.217528i) q^{89} +(-1.09261 - 5.49294i) q^{90} +(4.19612 + 11.5272i) q^{91} +(5.12141 + 1.01871i) q^{92} +(-7.48151 - 5.74077i) q^{93} +(-2.66244 + 20.2232i) q^{94} +(2.73749 + 2.40072i) q^{95} +(-5.74748 - 2.83434i) q^{96} +(11.1288 - 2.21366i) q^{97} +(-11.6272 - 10.6525i) q^{98} +(-0.667792 + 0.999421i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$384 q - 16 q^{11} + 32 q^{14} - 64 q^{22} - 16 q^{25} - 48 q^{28} - 64 q^{30} - 64 q^{35} - 32 q^{37} - 48 q^{42} - 64 q^{44} + 32 q^{46} - 64 q^{49} + 80 q^{56} - 32 q^{58} - 288 q^{61} - 528 q^{68} + 176 q^{70}+ \cdots + 32 q^{99}+O(q^{100})$ 384 * q - 16 * q^11 + 32 * q^14 - 64 * q^22 - 16 * q^25 - 48 * q^28 - 64 * q^30 - 64 * q^35 - 32 * q^37 - 48 * q^42 - 64 * q^44 + 32 * q^46 - 64 * q^49 + 80 * q^56 - 32 * q^58 - 288 * q^61 - 528 * q^68 + 176 * q^70 + 64 * q^71 - 48 * q^73 - 128 * q^74 + 96 * q^77 + 128 * q^78 - 480 * q^80 - 240 * q^82 + 32 * q^85 - 144 * q^87 - 96 * q^88 - 64 * q^91 + 320 * q^92 - 192 * q^94 - 64 * q^95 + 32 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/357\mathbb{Z}\right)^\times$ .

$n$	$52$	$190$	$239$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{16}\right)$	$1$

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

)

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

$2$	−2.23347	+	0.294042i	−1.57930	+	0.207919i	−0.868578	−	0.495552i	$-0.834966\pi$
$2$	−2.23347	+	0.294042i	−1.57930	+	0.207919i	−0.710724	+	0.703471i	$0.751633\pi$
$3$	−0.442289	−	0.896873i	−0.255355	−	0.517810i
$3$	−0.442289	−	0.896873i	−0.255355	−	0.517810i
$4$	2.97008	−	0.795831i	1.48504	−	0.397915i
$5$	1.86915	−	1.63920i	0.835910	−	0.733073i	−0.130122	−	0.991498i	$-0.541537\pi$
$5$	1.86915	−	1.63920i	0.835910	−	0.733073i	0.966031	+	0.258425i	$0.0832034\pi$
$6$	1.25156	+	1.87309i	0.510946	+	0.764685i
$7$	2.39791	+	1.11804i	0.906326	+	0.422580i
$7$	2.39791	+	1.11804i	0.906326	+	0.422580i
$8$	−2.23706	+	0.926619i	−0.790918	+	0.327609i
$9$	−0.608761	+	0.793353i	−0.202920	+	0.264451i
$10$	−3.69270	+	4.21072i	−1.16773	+	1.33155i
$11$	1.19942	−	0.0786142i	0.361639	−	0.0237031i	0.116499	−	0.993191i	$-0.462833\pi$
$11$	1.19942	−	0.0786142i	0.361639	−	0.0237031i	0.245140	+	0.969488i	$0.421166\pi$
$12$	−2.02739	−	2.31180i	−0.585258	−	0.667359i
$13$	3.27855	+	3.27855i	0.909305	+	0.909305i	0.996216	−	0.0869106i	$-0.0276995\pi$
$13$	3.27855	+	3.27855i	0.909305	+	0.909305i	−0.0869106	+	0.996216i	$0.527699\pi$
$14$	−5.68442	−	1.79203i	−1.51922	−	0.478939i
$15$	−2.29686	−	0.951390i	−0.593047	−	0.245648i
$16$	−0.601870	+	0.347490i	−0.150468	+	0.0868725i
$17$	−3.09286	−	2.72658i	−0.750129	−	0.661292i
$17$	−3.09286	−	2.72658i	−0.750129	−	0.661292i
$18$	1.12637	−	1.95093i	0.265488	−	0.459839i
$19$	0.191164	+	1.45204i	0.0438560	+	0.333120i	0.999282	+	0.0378888i	$0.0120633\pi$
$19$	0.191164	+	1.45204i	0.0438560	+	0.333120i	−0.955426	+	0.295231i	$0.904603\pi$
$20$	4.24700	−	6.35609i	0.949659	−	1.42126i
$21$	−0.0578286	−	2.64512i	−0.0126192	−	0.577212i
$22$	−2.65575	+	0.528262i	−0.566209	+	0.112626i
$23$	1.52308	+	0.751098i	0.317583	+	0.156615i	0.594093	−	0.804396i	$-0.297511\pi$
$23$	1.52308	+	0.751098i	0.317583	+	0.156615i	−0.276510	+	0.961011i	$0.589178\pi$
$24$	1.82048	+	1.59652i	0.371605	+	0.325888i
$25$	0.154113	−	1.17061i	0.0308226	−	0.234121i
$26$	−8.28657	−	6.35851i	−1.62513	−	1.24701i
$27$	0.980785	+	0.195090i	0.188752	+	0.0375451i
$28$	8.01177	+	1.41234i	1.51408	+	0.266907i
$29$	0.884272	+	4.44554i	0.164205	+	0.825516i	0.971805	+	0.235785i	$0.0757661\pi$
$29$	0.884272	+	4.44554i	0.164205	+	0.825516i	−0.807600	+	0.589731i	$0.799234\pi$
$30$	5.40972	+	1.44953i	0.987675	+	0.264647i
$31$	8.45772	−	4.17089i	1.51905	−	0.749114i	0.524310	−	0.851527i	$-0.324323\pi$
$31$	8.45772	−	4.17089i	1.51905	−	0.749114i	0.994742	+	0.102414i	$0.0326566\pi$
$32$	5.08409	−	3.90116i	0.898748	−	0.689634i
$33$	−0.600997	−	1.04096i	−0.104620	−	0.181207i
$34$	7.70954	+	5.18030i	1.32218	+	0.888413i
$35$	6.31476	−	1.84087i	1.06739	−	0.311164i
$36$	−1.17670	+	2.84079i	−0.196116	+	0.473466i
$37$	0.544354	−	8.30524i	0.0894913	−	1.36537i	−0.683033	−	0.730388i	$-0.739339\pi$
$37$	0.544354	−	8.30524i	0.0894913	−	1.36537i	0.772524	−	0.634985i	$-0.218994\pi$
$38$	−0.853919	−	3.18687i	−0.138524	−	0.516978i
$39$	1.49038	−	4.39050i	0.238651	−	0.703043i
$40$	−2.66248	+	5.39897i	−0.420975	+	0.853653i
$41$	−1.47694	+	7.42507i	−0.230659	+	1.15960i	0.675727	+	0.737152i	$0.263830\pi$
$41$	−1.47694	+	7.42507i	−0.230659	+	1.15960i	−0.906386	+	0.422450i	$0.861170\pi$
$42$	0.906935	+	5.89079i	0.139943	+	0.908969i
$43$	−0.593714	−	1.43335i	−0.0905406	−	0.218584i	0.872122	−	0.489288i	$-0.162743\pi$
$43$	−0.593714	−	1.43335i	−0.0905406	−	0.218584i	−0.962663	+	0.270704i	$0.912743\pi$
$44$	3.49981	−	1.18803i	0.527617	−	0.179102i
$45$	0.162599	+	2.48078i	0.0242388	+	0.369813i
$46$	−3.62260	−	1.22971i	−0.534123	−	0.181310i
$47$	2.34351	−	8.74609i	0.341836	−	1.27575i	−0.554429	−	0.832231i	$-0.687063\pi$
$47$	2.34351	−	8.74609i	0.341836	−	1.27575i	0.896265	−	0.443518i	$-0.146270\pi$
$48$	0.577855	+	0.386110i	0.0834061	+	0.0557302i
$49$	4.49997	+	5.36193i	0.642852	+	0.765990i
$50$			2.65983i			0.376157i
$51$	−1.07745	+	3.97984i	−0.150874	+	0.557288i
$52$	12.3467	+	7.12838i	1.71218	+	0.988529i
$53$	−3.32385	−	4.33173i	−0.456566	−	0.595009i	0.507176	−	0.861842i	$-0.330689\pi$
$53$	−3.32385	−	4.33173i	−0.456566	−	0.595009i	−0.963743	+	0.266834i	$0.914023\pi$
$54$	−2.24792	−	0.147336i	−0.305903	−	0.0200500i
$55$	2.11303	−	2.11303i	0.284921	−	0.284921i
$56$	−6.40026	−	0.279170i	−0.855271	−	0.0373057i
$57$	1.21774	−	0.813669i	0.161294	−	0.107773i
$58$	−3.28217	−	9.66897i	−0.430970	−	1.26960i
$59$	4.82428	+	0.635129i	0.628068	+	0.0826867i	0.437839	−	0.899053i	$-0.355744\pi$
$59$	4.82428	+	0.635129i	0.628068	+	0.0826867i	0.190228	+	0.981740i	$0.439077\pi$
$60$	−7.57900	−	0.997795i	−0.978445	−	0.128815i
$61$	1.47341	+	4.34053i	0.188651	+	0.555748i	0.999567	−	0.0294143i	$-0.00936422\pi$
$61$	1.47341	+	4.34053i	0.188651	+	0.555748i	−0.810916	+	0.585162i	$0.801031\pi$
$62$	−17.6637	+	11.8025i	−2.24329	+	1.49892i
$63$	−2.34676	+	1.22177i	−0.295664	+	0.153929i
$64$	−9.22521	+	9.22521i	−1.15315	+	1.15315i
$65$	11.5023	+	0.753901i	1.42668	+	0.0935099i
$66$	1.64839	+	2.14823i	0.202903	+	0.264429i
$67$	−12.3210	−	7.11354i	−1.50525	−	0.869058i	−0.999981	−	0.00609660i	$-0.998059\pi$
$67$	−12.3210	−	7.11354i	−1.50525	−	0.869058i	−0.505271	−	0.862961i	$-0.668607\pi$
$68$	−11.3559	−	5.63676i	−1.37711	−	0.683557i
$69$		−	1.69821i		−	0.204440i
$70$	−13.5625	+	5.96834i	−1.62103	+	0.713353i
$71$	−4.33951	−	2.89957i	−0.515005	−	0.344116i	0.270753	−	0.962649i	$-0.412727\pi$
$71$	−4.33951	−	2.89957i	−0.515005	−	0.344116i	−0.785759	+	0.618533i	$0.787727\pi$
$72$	0.626697	−	2.33886i	0.0738569	−	0.275638i
$73$	−11.8716	−	4.02985i	−1.38946	−	0.471659i	−0.476309	−	0.879278i	$-0.658026\pi$
$73$	−11.8716	−	4.02985i	−1.38946	−	0.471659i	−0.913152	+	0.407619i	$0.866359\pi$
$74$	1.22629	+	18.7096i	0.142553	+	2.17494i
$75$	−1.11805	+	0.379526i	−0.129101	+	0.0438239i
$76$	1.72335	+	4.16053i	0.197682	+	0.477245i
$77$	2.96400	+	1.15249i	0.337779	+	0.131339i
$78$	−2.03772	+	10.2443i	−0.230726	+	1.15994i
$79$	4.24350	−	8.60496i	0.477431	−	0.968134i	−0.516308	−	0.856403i	$-0.672694\pi$
$79$	4.24350	−	8.60496i	0.477431	−	0.968134i	0.993739	−	0.111731i	$-0.0356394\pi$
$80$	−0.555380	+	1.63610i	−0.0620934	+	0.182921i
$81$	−0.258819	−	0.965926i	−0.0287577	−	0.107325i
$82$	1.11542	−	17.0180i	0.123177	−	1.87932i
$83$	−0.694293	+	1.67617i	−0.0762085	+	0.183984i	−0.957393	−	0.288790i	$-0.906747\pi$
$83$	−0.694293	+	1.67617i	−0.0762085	+	0.183984i	0.881184	+	0.472773i	$0.156747\pi$
$84$	−2.27682	−	7.81020i	−0.248422	−	0.852162i
$85$	−10.2504	−	0.0265586i	−1.11182	−	0.00288069i
$86$	1.74751	+	3.02678i	0.188439	+	0.326386i
$87$	3.59598	−	2.75929i	0.385529	−	0.295827i
$88$	−2.61032	+	1.28727i	−0.278261	+	0.137223i
$89$	−0.811824	−	0.217528i	−0.0860532	−	0.0230579i	0.215536	−	0.976496i	$-0.430850\pi$
$89$	−0.811824	−	0.217528i	−0.0860532	−	0.0230579i	−0.301589	+	0.953438i	$0.597517\pi$
$90$	−1.09261	−	5.49294i	−0.115172	−	0.579007i
$91$	4.19612	+	11.5272i	0.439873	+	1.20838i
$92$	5.12141	+	1.01871i	0.533944	+	0.106208i
$93$	−7.48151	−	5.74077i	−0.775797	−	0.595290i
$94$	−2.66244	+	20.2232i	−0.274610	+	2.08587i
$95$	2.73749	+	2.40072i	0.280861	+	0.246308i
$96$	−5.74748	−	2.83434i	−0.586599	−	0.289279i
$97$	11.1288	−	2.21366i	1.12996	−	0.224763i	0.405510	−	0.914090i	$-0.367094\pi$
$97$	11.1288	−	2.21366i	1.12996	−	0.224763i	0.724450	+	0.689327i	$0.242094\pi$
$98$	−11.6272	−	10.6525i	−1.17452	−	1.07607i
$99$	−0.667792	+	0.999421i	−0.0671156	+	0.100446i
$100$	−0.473876	−	3.59944i	−0.0473876	−	0.359944i
$101$	−6.52469	+	11.3011i	−0.649230	+	1.12450i	0.334077	+	0.942546i	$0.391576\pi$
$101$	−6.52469	+	11.3011i	−0.649230	+	1.12450i	−0.983307	+	0.181954i	$0.941758\pi$
$102$	1.23622	−	9.20567i	0.122404	−	0.911497i
$103$	−10.1476	+	5.85874i	−0.999876	+	0.577279i	−0.908212	−	0.418511i	$-0.862552\pi$
$103$	−10.1476	+	5.85874i	−0.999876	+	0.577279i	−0.0916643	+	0.995790i	$0.529219\pi$
$104$	−10.3723	−	4.29633i	−1.01708	−	0.421290i
$105$	−4.44397	−	4.84933i	−0.433687	−	0.473247i
$106$	8.69744	+	8.69744i	0.844770	+	0.844770i
$107$	0.371206	+	0.423280i	0.0358859	+	0.0409200i	0.769504	−	0.638642i	$-0.220503\pi$
$107$	0.371206	+	0.423280i	0.0358859	+	0.0409200i	−0.733618	+	0.679562i	$0.762170\pi$
$108$	3.06827	−	0.201105i	0.295244	−	0.0193513i
$109$	4.13656	−	4.71684i	0.396210	−	0.451791i	−0.518996	−	0.854777i	$-0.673694\pi$
$109$	4.13656	−	4.71684i	0.396210	−	0.451791i	0.915206	+	0.402985i	$0.132027\pi$
$110$	−4.09808	+	5.34072i	−0.390736	+	0.509218i
$111$	−7.68950	+	3.18510i	−0.729855	+	0.302316i
$112$	−1.83174	+	0.160335i	−0.173083	+	0.0151502i
$113$	4.46840	+	6.68744i	0.420352	+	0.629101i	0.979851	−	0.199730i	$-0.0640064\pi$
$113$	4.46840	+	6.68744i	0.420352	+	0.629101i	−0.559499	+	0.828831i	$0.689006\pi$
$114$	−2.48054	+	2.17537i	−0.232324	+	0.203742i
$115$	4.07806	−	1.09271i	0.380281	−	0.101896i
$116$	6.16426	+	12.4999i	0.572337	+	1.16058i
$117$	−4.59690	+	0.605193i	−0.424984	+	0.0559501i
$118$	−10.9616			−1.00910
$119$	−4.36799	−	9.99603i	−0.400413	−	0.916335i
$120$	6.01978			0.549528
$121$	−9.47346	+	1.24721i	−0.861224	+	0.113382i
$122$	−4.56712	−	9.26120i	−0.413488	−	0.838470i
$123$	7.31258	−	1.95940i	0.659353	−	0.176673i
$124$	21.8008	−	19.1188i	1.95777	−	1.71692i
$125$	5.27523	+	7.89493i	0.471830	+	0.706144i
$126$	4.88217	−	3.41884i	0.434938	−	0.304574i
$127$	8.71094	−	3.60819i	0.772971	−	0.320175i	0.0388960	−	0.999243i	$-0.487616\pi$
$127$	8.71094	−	3.60819i	0.772971	−	0.320175i	0.734075	+	0.679068i	$0.237616\pi$
$128$	10.0893	−	13.1487i	0.891779	−	1.16219i
$129$	−1.02294	+	1.16644i	−0.0900650	+	0.102699i
$130$	−25.9117	+	1.69834i	−2.27261	+	0.148955i
$131$	1.52913	+	1.74364i	0.133601	+	0.152343i	0.814772	−	0.579782i	$-0.196862\pi$
$131$	1.52913	+	1.74364i	0.133601	+	0.152343i	−0.681171	+	0.732125i	$0.738529\pi$
$132$	−2.61344	−	2.61344i	−0.227470	−	0.227470i
$133$	−1.16504	+	3.69558i	−0.101022	+	0.320448i
$134$	29.6103	+	12.2650i	2.55794	+	1.05953i
$135$	2.15303	−	1.24305i	0.185303	−	0.106985i
$136$	9.44540	+	3.23360i	0.809936	+	0.277279i
$137$	−10.2513	+	17.7558i	−0.875829	+	1.51698i	−0.0199523	+	0.999801i	$0.506351\pi$
$137$	−10.2513	+	17.7558i	−0.875829	+	1.51698i	−0.855877	+	0.517180i	$0.826982\pi$
$138$	0.499345	+	3.79290i	0.0425070	+	0.322873i
$139$	−4.21154	+	6.30302i	−0.357218	+	0.534615i	−0.965939	−	0.258770i	$-0.916683\pi$
$139$	−4.21154	+	6.30302i	−0.357218	+	0.534615i	0.608721	+	0.793385i	$0.291683\pi$
$140$	17.2903	−	10.4930i	1.46130	−	0.886822i
$141$	−8.88064	+	1.76647i	−0.747885	+	0.148764i
$142$	10.5448	+	5.20011i	0.884898	+	0.436383i
$143$	4.19010	+	3.67462i	0.350394	+	0.307287i
$144$	0.0907131	−	0.689034i	0.00755942	−	0.0574195i
$145$	8.93997	+	6.85988i	0.742424	+	0.569682i
$146$	27.6997	+	5.50982i	2.29245	+	0.455996i
$147$	2.81869	−	6.40742i	0.232481	−	0.528475i
$148$	−4.99279	−	25.1004i	−0.410405	−	2.06324i
$149$	−7.06608	−	1.89335i	−0.578876	−	0.155109i	−0.0425118	−	0.999096i	$-0.513536\pi$
$149$	−7.06608	−	1.89335i	−0.578876	−	0.155109i	−0.536364	+	0.843987i	$0.680203\pi$
$150$	2.38553	−	1.17641i	0.194778	−	0.0960537i
$151$	12.7855	−	9.81067i	1.04047	−	0.798381i	0.0606291	−	0.998160i	$-0.480689\pi$
$151$	12.7855	−	9.81067i	1.04047	−	0.798381i	0.979841	+	0.199780i	$0.0640227\pi$
$152$	−1.77313	−	3.07115i	−0.143820	−	0.249103i
$153$	4.04595	−	0.793898i	0.327096	−	0.0641828i
$154$	−6.95889	−	1.70252i	−0.560763	−	0.137193i
$155$	8.97184	−	21.6599i	0.720635	−	1.73977i
$156$	0.932437	−	14.2262i	0.0746547	−	1.13901i
$157$	−4.97846	−	18.5799i	−0.397325	−	1.48284i	−0.817785	−	0.575524i	$-0.804798\pi$
$157$	−4.97846	−	18.5799i	−0.397325	−	1.48284i	0.420460	−	0.907311i	$-0.361869\pi$
$158$	−6.94751	+	20.4667i	−0.552714	+	1.62824i
$159$	−2.41491	+	4.89695i	−0.191515	+	0.388353i
$160$	3.10815	−	15.6257i	0.245720	−	1.23532i
$161$	2.81244	+	3.50393i	0.221652	+	0.276148i
$162$	0.862088	+	2.08126i	0.0677320	+	0.163520i
$163$	4.75538	−	1.61424i	0.372470	−	0.126437i	−0.128926	−	0.991654i	$-0.541153\pi$
$163$	4.75538	−	1.61424i	0.372470	−	0.126437i	0.501397	+	0.865218i	$0.332820\pi$
$164$	1.52247	+	23.2285i	0.118885	+	1.81384i
$165$	−2.82969	−	0.960551i	−0.220291	−	0.0747788i
$166$	1.05782	−	3.94783i	0.0821026	−	0.306411i
$167$	−3.07005	−	2.05134i	−0.237568	−	0.158738i	0.431088	−	0.902310i	$-0.358130\pi$
$167$	−3.07005	−	2.05134i	−0.237568	−	0.158738i	−0.668656	+	0.743572i	$0.733130\pi$
$168$	2.58038	+	5.86369i	0.199081	+	0.452394i
$169$			8.49775i			0.653673i
$170$	22.9018	−	2.95474i	1.75649	−	0.226618i
$171$	−1.26835	−	0.732282i	−0.0969932	−	0.0559990i
$172$	−2.90409	−	3.78468i	−0.221434	−	0.288579i
$173$	19.7016	+	1.29131i	1.49788	+	0.0981763i	0.792160	−	0.610313i	$-0.208956\pi$
$173$	19.7016	+	1.29131i	1.49788	+	0.0981763i	0.705721	+	0.708490i	$0.250623\pi$
$174$	−7.22017	+	7.22017i	−0.547359	+	0.547359i
$175$	1.67834	−	2.63471i	0.126870	−	0.199165i
$176$	−0.694578	+	0.464102i	−0.0523558	+	0.0349830i
$177$	−1.56410	−	4.60768i	−0.117565	−	0.346334i
$178$	1.87715	+	0.247131i	0.140698	+	0.0185233i
$179$	2.51295	+	0.330837i	0.187827	+	0.0247279i	0.223853	−	0.974623i	$-0.428137\pi$
$179$	2.51295	+	0.330837i	0.187827	+	0.0247279i	−0.0360258	+	0.999351i	$0.511470\pi$
$180$	2.45721	+	7.23872i	0.183150	+	0.539542i
$181$	−14.8269	+	9.90704i	−1.10208	+	0.736384i	−0.967083	−	0.254462i	$-0.918102\pi$
$181$	−14.8269	+	9.90704i	−1.10208	+	0.736384i	−0.134994	+	0.990846i	$0.543102\pi$
$182$	−12.7614	−	24.5119i	−0.945938	−	1.81694i
$183$	3.24123	−	3.24123i	0.239599	−	0.239599i
$184$	−4.10319	−	0.268937i	−0.302491	−	0.0198263i
$185$	−12.5965	−	16.4161i	−0.926112	−	1.20693i
$186$	18.3978	+	10.6220i	1.34899	+	0.778839i
$187$	−3.92399	−	3.02717i	−0.286950	−	0.221368i
$188$		−	27.8416i		−	2.03056i
$189$	2.13372	+	1.56437i	0.155205	+	0.113791i
$190$	−6.82002	−	4.55699i	−0.494777	−	0.330599i
$191$	−0.396311	+	1.47905i	−0.0286760	+	0.107020i	−0.978781	−	0.204911i	$-0.934309\pi$
$191$	−0.396311	+	1.47905i	−0.0286760	+	0.107020i	0.950104	+	0.311932i	$0.100976\pi$
$192$	12.3540	+	4.19363i	0.891577	+	0.302649i
$193$	1.39010	+	21.2088i	0.100061	+	1.52664i	0.692730	+	0.721197i	$0.256408\pi$
$193$	1.39010	+	21.2088i	0.100061	+	1.52664i	−0.592669	+	0.805446i	$0.701926\pi$
$194$	−24.2050	+	8.21649i	−1.73782	+	0.589909i
$195$	−4.41118	−	10.6495i	−0.315891	−	0.762630i
$196$	17.6325	+	12.3442i	1.25946	+	0.881725i
$197$	1.30467	−	6.55904i	0.0929542	−	0.467313i	−0.906069	−	0.423130i	$-0.860932\pi$
$197$	1.30467	−	6.55904i	0.0929542	−	0.467313i	0.999023	−	0.0441830i	$-0.0140685\pi$
$198$	1.19762	−	2.42854i	0.0851113	−	0.172589i
$199$	−5.03369	+	14.8288i	−0.356829	+	1.05118i	0.609259	+	0.792971i	$0.291467\pi$
$199$	−5.03369	+	14.8288i	−0.356829	+	1.05118i	−0.966088	+	0.258212i	$0.916867\pi$
$200$	0.739946	+	2.76151i	0.0523221	+	0.195269i
$201$	−0.930496	+	14.1966i	−0.0656321	+	1.00135i
$202$	11.2497	−	27.1592i	0.791526	−	1.91091i
$203$	−2.84989	+	11.6487i	−0.200023	+	0.817576i
$204$	−0.0328482	+	12.6779i	−0.00229983	+	0.887631i
$205$	9.41057	+	16.2996i	0.657263	+	1.13841i
$206$	20.9417	−	16.0692i	1.45908	−	1.11959i
$207$	−1.52308	+	0.751098i	−0.105861	+	0.0522049i
$208$	−3.11252	−	0.833998i	−0.215815	−	0.0578273i
$209$	0.343437	+	1.72657i	0.0237560	+	0.119430i
$210$	11.3514	+	9.52413i	0.783321	+	0.657228i
$211$	−13.5862	−	2.70246i	−0.935311	−	0.186045i	−0.296171	−	0.955135i	$-0.595710\pi$
$211$	−13.5862	−	2.70246i	−0.935311	−	0.186045i	−0.639140	+	0.769090i	$0.720710\pi$
$212$	−13.3194	−	10.2204i	−0.914782	−	0.701937i
$213$	−0.681228	+	5.17444i	−0.0466769	+	0.354547i
$214$	−0.953540	−	0.836232i	−0.0651827	−	0.0571637i
$215$	−3.45930	−	1.70594i	−0.235922	−	0.116344i
$216$	−2.37485	+	0.472386i	−0.161588	+	0.0321418i
$217$	24.9441	−	0.545337i	1.69332	−	0.0370199i
$218$	−7.85193	+	11.7512i	−0.531800	+	0.795895i
$219$	1.63639	+	12.4296i	0.110577	+	0.839917i
$220$	4.59426	−	7.95750i	0.309745	−	0.536494i
$221$	−1.20089	−	19.0793i	−0.0807803	−	1.28341i
$222$	16.2377	−	9.37486i	1.08981	−	0.629199i
$223$	8.04645	+	3.33295i	0.538830	+	0.223191i	0.635466	−	0.772129i	$-0.280808\pi$
$223$	8.04645	+	3.33295i	0.538830	+	0.223191i	−0.0966357	+	0.995320i	$0.530808\pi$
$224$	16.5529	−	3.67041i	1.10598	−	0.245240i
$225$	0.834886	+	0.834886i	0.0556591	+	0.0556591i
$226$	−11.9464	−	13.6223i	−0.794666	−	0.906142i
$227$	−26.6752	+	1.74839i	−1.77050	+	0.116045i	−0.915432	−	0.402474i	$-0.868151\pi$
$227$	−26.6752	+	1.74839i	−1.77050	+	0.116045i	−0.855067	+	0.518518i	$0.826484\pi$
$228$	2.96925	−	3.38578i	0.196643	−	0.224229i
$229$	−15.7029	+	20.4645i	−1.03768	+	1.35233i	−0.103856	+	0.994592i	$0.533118\pi$
$229$	−15.7029	+	20.4645i	−1.03768	+	1.35233i	−0.933822	+	0.357737i	$0.883548\pi$
$230$	−8.78693	+	3.63966i	−0.579393	+	0.239992i
$231$	−0.277305	−	3.16806i	−0.0182453	−	0.208443i
$232$	−6.09748	−	9.12553i	−0.400319	−	0.599120i
$233$	−17.9203	+	15.7157i	−1.17400	+	1.02957i	−0.175011	+	0.984567i	$0.555996\pi$
$233$	−17.9203	+	15.7157i	−1.17400	+	1.02957i	−0.998987	+	0.0450019i	$0.985671\pi$
$234$	10.0891	−	2.70336i	0.659545	−	0.176724i
$235$	−9.95624	−	20.1893i	−0.649473	−	1.31700i
$236$	14.8340	−	1.95293i	0.965608	−	0.127125i
$237$	−9.59441			−0.623224
$238$	12.6950	+	21.0415i	0.822896	+	1.36392i
$239$	12.4379			0.804542			0.402271	−	0.915521i	$-0.368221\pi$
$239$	12.4379			0.804542			0.402271	+	0.915521i	$0.368221\pi$
$240$	1.71301	−	0.225522i	0.110574	−	0.0145574i
$241$	4.86516	+	9.86557i	0.313393	+	0.635497i	0.995396	−	0.0958520i	$-0.0305576\pi$
$241$	4.86516	+	9.86557i	0.313393	+	0.635497i	−0.682003	+	0.731349i	$0.738891\pi$
$242$	20.7920	−	5.57119i	1.33656	−	0.358130i
$243$	−0.751840	+	0.659346i	−0.0482305	+	0.0422971i
$244$	7.83048	+	11.7191i	0.501295	+	0.750241i
$245$	17.2004	+	2.64591i	1.09889	+	0.169041i
$246$	−15.7563	+	6.52647i	−1.00458	+	0.416112i
$247$	−4.13383	+	5.38731i	−0.263029	+	0.342786i
$248$	−15.0556	+	17.1676i	−0.956030	+	1.09014i
$249$	1.81039	−	0.118659i	0.114729	−	0.00751972i
$250$	−14.1035	−	16.0820i	−0.891984	−	1.01711i
$251$	−19.2987	−	19.2987i	−1.21812	−	1.21812i	−0.968288	−	0.249835i	$-0.919624\pi$
$251$	−19.2987	−	19.2987i	−1.21812	−	1.21812i	−0.249835	−	0.968288i	$-0.580376\pi$
$252$	−5.99774	+	5.49638i	−0.377822	+	0.346240i
$253$	1.88586	+	0.781147i	0.118563	+	0.0491103i
$254$	−18.3947	+	10.6202i	−1.15419	+	0.666369i
$255$	4.50983	+	9.20508i	0.282416	+	0.576444i
$256$	−5.62154	+	9.73679i	−0.351346	+	0.608550i
$257$	1.71064	+	12.9936i	0.106707	+	0.810517i	0.958189	+	0.286135i	$0.0923705\pi$
$257$	1.71064	+	12.9936i	0.106707	+	0.810517i	−0.851483	+	0.524383i	$0.824296\pi$
$258$	1.94173	−	2.90600i	0.120887	−	0.180920i
$259$	10.5909	−	19.3066i	0.658087	−	1.19966i
$260$	34.7627	−	6.91474i	2.15589	−	0.428834i
$261$	−4.06519	−	2.00473i	−0.251629	−	0.124090i
$262$	−3.92798	−	3.44475i	−0.242672	−	0.212817i
$263$	1.24866	−	9.48452i	0.0769957	−	0.584840i	−0.908842	−	0.417140i	$-0.863032\pi$
$263$	1.24866	−	9.48452i	0.0769957	−	0.584840i	0.985838	−	0.167701i	$-0.0536342\pi$
$264$	2.30903	+	1.77178i	0.142111	+	0.109046i
$265$	−13.3134	−	2.64819i	−0.817833	−	0.162677i
$266$	1.51543	−	8.59655i	0.0929169	−	0.527088i
$267$	0.163966	+	0.824313i	0.0100346	+	0.0504471i
$268$	−42.2556	−	11.3224i	−2.58117	−	0.691623i
$269$	−24.8037	+	12.2318i	−1.51231	+	0.745787i	−0.993997	−	0.109406i	$-0.965105\pi$
$269$	−24.8037	+	12.2318i	−1.51231	+	0.745787i	−0.518309	+	0.855193i	$0.673438\pi$
$270$	−4.44322	+	3.40940i	−0.270406	+	0.207489i
$271$	2.89927	+	5.02168i	0.176118	+	0.305045i	0.940548	−	0.339662i	$-0.110313\pi$
$271$	2.89927	+	5.02168i	0.176118	+	0.305045i	−0.764430	+	0.644707i	$0.776979\pi$
$272$	2.80896	+	0.566306i	0.170318	+	0.0343374i
$273$	8.48256	−	8.86174i	0.513388	−	0.536337i
$274$	17.6751	−	42.6714i	1.06779	−	2.57787i
$275$	0.0928203	−	1.41616i	0.00559727	−	0.0853979i
$276$	−1.35149	−	5.04382i	−0.0813499	−	0.303602i
$277$	7.47782	−	22.0289i	0.449299	−	1.32359i	−0.452627	−	0.891700i	$-0.649513\pi$
$277$	7.47782	−	22.0289i	0.449299	−	1.32359i	0.901926	−	0.431891i	$-0.142154\pi$
$278$	7.55300	−	15.3160i	0.452999	−	0.918591i
$279$	−1.83975	+	9.24904i	−0.110143	+	0.553725i
$280$	−12.4207	+	9.96950i	−0.742277	+	0.595792i
$281$	−8.57002	−	20.6899i	−0.511244	−	1.23425i	−0.943160	−	0.332339i	$-0.892162\pi$
$281$	−8.57002	−	20.6899i	−0.511244	−	1.23425i	0.431916	−	0.901914i	$-0.357838\pi$
$282$	19.3152	−	6.55664i	1.15021	−	0.390442i
$283$	−0.0211966	−	0.323398i	−0.00126001	−	0.0192240i	0.997183	−	0.0750121i	$-0.0238995\pi$
$283$	−0.0211966	−	0.323398i	−0.00126001	−	0.0192240i	−0.998443	+	0.0557881i	$0.982233\pi$
$284$	−15.1963	−	5.15844i	−0.901733	−	0.306097i
$285$	0.942375	−	3.51699i	0.0558215	−	0.208329i
$286$	−10.4390	−	6.97508i	−0.617268	−	0.412445i
$287$	−11.8431	+	16.1534i	−0.699077	+	0.953505i
$288$			6.40835i			0.377616i
$289$	2.13158	+	16.8658i	0.125387	+	0.992108i
$290$	−21.9843	−	12.6926i	−1.29096	−	0.745336i
$291$	−6.90752	−	9.00206i	−0.404926	−	0.527710i
$292$	−38.4666	−	2.52123i	−2.25109	−	0.147544i
$293$	−4.01869	+	4.01869i	−0.234774	+	0.234774i	−0.814682	−	0.579908i	$-0.803089\pi$
$293$	−4.01869	+	4.01869i	−0.234774	+	0.234774i	0.579908	+	0.814682i	$0.303089\pi$
$294$	−4.41140	+	15.1396i	−0.257278	+	0.882959i
$295$	10.0584	−	6.72082i	0.585623	−	0.391301i
$296$	6.47804	+	19.0837i	0.376528	+	1.10922i
$297$	1.19171	+	0.156892i	0.0691501	+	0.00910378i
$298$	16.3386	+	2.15102i	0.946471	+	0.124605i
$299$	2.53097	+	7.45599i	0.146370	+	0.431191i
$300$	−3.01865	+	2.01700i	−0.174282	+	0.116451i
$301$	0.178873	−	4.10085i	0.0103101	−	0.236369i
$302$	−25.6713	+	25.6713i	−1.47722	+	1.47722i
$303$	13.0214	+	0.853470i	0.748062	+	0.0490306i
$304$	−0.619624	−	0.807509i	−0.0355378	−	0.0463138i
$305$	9.86903	+	5.69789i	0.565099	+	0.326260i
$306$	−8.80308	+	2.96283i	−0.503238	+	0.169374i
$307$		−	0.358540i		−	0.0204630i	−0.999948	−	0.0102315i	$-0.996743\pi$
$307$		−	0.358540i		−	0.0204630i	0.999948	−	0.0102315i	$-0.00325684\pi$
$308$	9.72050	+	1.06415i	0.553877	+	0.0606357i
$309$	9.74272	+	6.50988i	0.554244	+	0.370334i
$310$	−13.6694	+	51.0149i	−0.776370	+	2.89745i
$311$	−7.00373	−	2.37744i	−0.397145	−	0.134813i	0.115720	−	0.993282i	$-0.463082\pi$
$311$	−7.00373	−	2.37744i	−0.397145	−	0.134813i	−0.512865	+	0.858469i	$0.671416\pi$
$312$	0.734271	+	11.2028i	0.0415699	+	0.634234i
$313$	−24.6974	+	8.38364i	−1.39598	+	0.473872i	−0.915211	−	0.402975i	$-0.867976\pi$
$313$	−24.6974	+	8.38364i	−1.39598	+	0.473872i	−0.480770	+	0.876847i	$0.659643\pi$
$314$	16.5825	+	40.0337i	0.935805	+	2.25923i
$315$	−2.38372	+	6.13048i	−0.134307	+	0.345414i
$316$	5.75544	−	28.9345i	0.323769	−	1.62769i
$317$	10.8398	−	21.9810i	0.608824	−	1.23457i	−0.346232	−	0.938149i	$-0.612539\pi$
$317$	10.8398	−	21.9810i	0.608824	−	1.23457i	0.955056	−	0.296425i	$-0.0957944\pi$
$318$	3.95372	−	11.6473i	0.221713	−	0.653147i
$319$	1.41010	+	5.26255i	0.0789503	+	0.294646i
$320$	−2.12133	+	32.3653i	−0.118586	+	1.80927i
$321$	0.215448	−	0.520136i	0.0120251	−	0.0290312i
$322$	−7.31182	−	6.99895i	−0.407472	−	0.390036i
$323$	3.36784	−	5.01217i	0.187392	−	0.278884i
$324$	−1.53743	−	2.66290i	−0.0854126	−	0.147939i
$325$	4.34316	−	3.33262i	0.240915	−	0.184861i
$326$	−10.1464	+	5.00363i	−0.561955	+	0.277125i
$327$	−6.05996	−	1.62376i	−0.335116	−	0.0897942i
$328$	−3.57622	−	17.9789i	−0.197464	−	0.992716i
$329$	15.3980	−	18.3522i	0.848921	−	1.01179i
$330$	6.60248	+	1.31331i	0.363455	+	0.0722956i
$331$	−1.61601	−	1.24001i	−0.0888238	−	0.0681569i	0.563395	−	0.826188i	$-0.309495\pi$
$331$	−1.61601	−	1.24001i	−0.0888238	−	0.0681569i	−0.652219	+	0.758031i	$0.726162\pi$
$332$	−0.728157	+	5.53090i	−0.0399628	+	0.303548i
$333$	6.25761	+	5.48777i	0.342915	+	0.300728i
$334$	7.46006	+	3.67889i	0.408196	+	0.201300i
$335$	−34.6904	+	6.90034i	−1.89534	+	0.377006i
$336$	0.953957	+	1.57192i	0.0520426	+	0.0857554i
$337$	4.16130	−	6.22782i	0.226680	−	0.339251i	−0.700643	−	0.713512i	$-0.747103\pi$
$337$	4.16130	−	6.22782i	0.226680	−	0.339251i	0.927324	+	0.374261i	$0.122103\pi$
$338$	−2.49870	−	18.9795i	−0.135911	−	1.03235i
$339$	4.02146	−	6.96537i	0.218416	−	0.378307i
$340$	−30.4657	+	8.07873i	−1.65224	+	0.438130i
$341$	9.81647	−	5.66754i	0.531592	−	0.306915i
$342$	3.04815	+	1.26258i	0.164825	+	0.0682727i
$343$	4.79566	+	17.8886i	0.258942	+	0.965893i
$344$	2.65634	+	2.65634i	0.143220	+	0.143220i
$345$	−2.78371	−	3.17421i	−0.149870	−	0.170894i
$346$	−44.3826	+	2.90899i	−2.38602	+	0.156388i
$347$	−4.51297	+	5.14606i	−0.242269	+	0.276255i	−0.860177	−	0.509995i	$-0.829647\pi$
$347$	−4.51297	+	5.14606i	−0.242269	+	0.276255i	0.617908	+	0.786250i	$0.287980\pi$
$348$	8.48442	−	11.0571i	0.454813	−	0.592723i
$349$	7.46633	−	3.09265i	0.399663	−	0.165546i	−0.173793	−	0.984782i	$-0.555602\pi$
$349$	7.46633	−	3.09265i	0.399663	−	0.165546i	0.573456	+	0.819236i	$0.305602\pi$
$350$	−2.97380	+	6.37804i	−0.158956	+	0.340921i
$351$	2.57594	+	3.85516i	0.137493	+	0.205773i
$352$	5.79127	−	5.07881i	0.308676	−	0.270701i
$353$	−20.5277	+	5.50037i	−1.09258	+	0.292755i	−0.759739	−	0.650229i	$-0.774673\pi$
$353$	−20.5277	+	5.50037i	−1.09258	+	0.292755i	−0.332838	+	0.942984i	$0.608006\pi$
$354$	4.84821	+	9.83120i	0.257680	+	0.522522i
$355$	−12.8642	+	1.69360i	−0.682760	+	0.0898871i
$356$	−2.58430			−0.136968
$357$	−7.03326	+	8.33866i	−0.372240	+	0.441329i
$358$	−5.70989			−0.301777
$359$	20.6696	−	2.72121i	1.09090	−	0.143620i	0.436453	−	0.899727i	$-0.356234\pi$
$359$	20.6696	−	2.72121i	1.09090	−	0.143620i	0.654448	+	0.756107i	$0.272901\pi$
$360$	−2.66248	−	5.39897i	−0.140325	−	0.284551i
$361$	16.2807	−	4.36241i	0.856880	−	0.229600i
$362$	30.2024	−	26.4868i	1.58740	−	1.39212i
$363$	5.30859	+	7.94487i	0.278629	+	0.416997i
$364$	21.6365	+	30.8974i	1.13406	+	1.61946i
$365$	−28.7955	+	11.9275i	−1.50722	+	0.624313i
$366$	−6.28613	+	8.19225i	−0.328581	+	0.428216i
$367$	−0.657563	+	0.749807i	−0.0343245	+	0.0391396i	−0.768747	−	0.639553i	$-0.779120\pi$
$367$	−0.657563	+	0.749807i	−0.0343245	+	0.0391396i	0.734423	+	0.678692i	$0.237453\pi$
$368$	−1.17769	+	0.0771901i	−0.0613915	+	0.00402381i
$369$	−4.99160	−	5.69183i	−0.259852	−	0.296305i
$370$	32.9609	+	32.9609i	1.71355	+	1.71355i
$371$	−3.12725	−	14.1033i	−0.162359	−	0.732207i
$372$	−26.7894	−	11.0965i	−1.38896	−	0.575328i
$373$	−1.06168	+	0.612961i	−0.0549717	+	0.0317379i	−0.527234	−	0.849720i	$-0.676771\pi$
$373$	−1.06168	+	0.612961i	−0.0549717	+	0.0317379i	0.472262	+	0.881458i	$0.343438\pi$
$374$	9.65423	+	5.60727i	0.499208	+	0.289945i
$375$	4.74758	−	8.22305i	0.245164	−	0.424636i
$376$	2.86173	+	21.7370i	0.147583	+	1.12100i
$377$	−11.6758	+	17.4740i	−0.601333	+	0.899959i
$378$	−5.22559	−	2.86657i	−0.268775	−	0.147440i
$379$	10.0586	−	2.00077i	0.516674	−	0.102773i	0.0701357	−	0.997537i	$-0.477657\pi$
$379$	10.0586	−	2.00077i	0.516674	−	0.102773i	0.446538	+	0.894765i	$0.352657\pi$
$380$	10.0411	+	4.95174i	0.515100	+	0.254019i
$381$	−7.08884	−	6.21675i	−0.363172	−	0.318494i
$382$	0.450245	−	3.41995i	0.0230365	−	0.174980i
$383$	20.8575	+	16.0045i	1.06577	+	0.817791i	0.983876	−	0.178850i	$-0.0572377\pi$
$383$	20.8575	+	16.0045i	1.06577	+	0.817791i	0.0818900	+	0.996641i	$0.473904\pi$
$384$	−16.2551	−	3.23334i	−0.829513	−	0.165000i
$385$	7.42933	−	2.70441i	0.378634	−	0.137829i
$386$	−9.34102	−	46.9605i	−0.475446	−	2.39023i
$387$	1.49859	+	0.401545i	0.0761774	+	0.0204117i
$388$	31.2918	−	15.4314i	1.58860	−	0.783411i
$389$	−4.51926	+	3.46775i	−0.229136	+	0.175822i	−0.716948	−	0.697126i	$-0.754462\pi$
$389$	−4.51926	+	3.46775i	−0.229136	+	0.175822i	0.487813	+	0.872948i	$0.337795\pi$
$390$	12.9837	+	22.4884i	0.657454	+	1.13874i
$391$	−2.66274	−	6.47582i	−0.134660	−	0.327497i
$392$	−15.0351	−	7.82518i	−0.759389	−	0.395231i
$393$	0.887508	−	2.14263i	0.0447688	−	0.108082i
$394$	−0.985319	+	15.0331i	−0.0496397	+	0.757355i
$395$	−6.17353	−	23.0399i	−0.310624	−	1.15926i
$396$	−1.18803	+	3.49981i	−0.0597006	+	0.175872i
$397$	5.02735	−	10.1945i	0.252315	−	0.511645i	−0.733456	−	0.679737i	$-0.762094\pi$
$397$	5.02735	−	10.1945i	0.252315	−	0.511645i	0.985771	+	0.168092i	$0.0537605\pi$
$398$	6.88232	−	34.5997i	0.344979	−	1.73433i
$399$	3.82975	−	0.589621i	0.191727	−	0.0295180i
$400$	0.314018	+	0.758106i	0.0157009	+	0.0379053i
$401$	15.8425	−	5.37781i	0.791137	−	0.268555i	0.103519	−	0.994627i	$-0.466990\pi$
$401$	15.8425	−	5.37781i	0.791137	−	0.268555i	0.687618	+	0.726073i	$0.258656\pi$
$402$	−2.09617	−	31.9814i	−0.104547	−	1.59509i
$403$	41.4035	+	14.0546i	2.06246	+	0.700109i
$404$	−10.3851	+	38.7577i	−0.516678	+	1.92827i
$405$	−2.06712	−	1.38120i	−0.102716	−	0.0686326i
$406$	2.93995	−	26.8549i	0.145907	−	1.33279i
$407$		−	10.0043i		−	0.495893i
$408$	−1.27747	−	9.90150i	−0.0632440	−	0.490197i
$409$	26.5203	+	15.3115i	1.31134	+	0.757105i	0.982319	−	0.187216i	$-0.0599465\pi$
$409$	26.5203	+	15.3115i	1.31134	+	0.757105i	0.329025	+	0.944321i	$0.393280\pi$
$410$	−25.8110	−	33.6375i	−1.27471	−	1.66124i
$411$	20.4587	+	1.34094i	1.00916	+	0.0661435i
$412$	−25.4767	+	25.4767i	−1.25515	+	1.25515i
$413$	10.8581	+	6.91673i	0.534292	+	0.340350i
$414$	3.18089	−	2.12540i	0.156332	−	0.104458i
$415$	1.44984	+	4.27110i	0.0711700	+	0.209660i
$416$	29.4586	+	3.87829i	1.44432	+	0.190149i
$417$	7.51572	+	0.989464i	0.368046	+	0.0484542i
$418$	−1.27474	−	3.75527i	−0.0623496	−	0.183676i
$419$	10.6216	−	7.09714i	0.518900	−	0.346718i	−0.268380	−	0.963313i	$-0.586488\pi$
$419$	10.6216	−	7.09714i	0.518900	−	0.346718i	0.787280	+	0.616595i	$0.211488\pi$
$420$	−17.0582	−	10.8663i	−0.832356	−	0.530220i
$421$	17.6714	−	17.6714i	0.861251	−	0.861251i	−0.130232	−	0.991483i	$-0.541572\pi$
$421$	17.6714	−	17.6714i	0.861251	−	0.861251i	0.991483	+	0.130232i	$0.0415724\pi$
$422$	31.1390	+	2.04096i	1.51582	+	0.0993522i
$423$	5.51210	+	7.18351i	0.268008	+	0.349274i
$424$	11.4495	+	6.61037i	0.556037	+	0.321028i
$425$	−3.66840	+	3.20032i	−0.177943	+	0.155238i
$426$		−	11.7573i		−	0.569641i
$427$	−1.31978	+	12.0555i	−0.0638687	+	0.583409i
$428$	1.43937	+	0.961757i	0.0695746	+	0.0464883i
$429$	1.44243	−	5.38322i	0.0696412	−	0.259905i
$430$	8.22785	+	2.79298i	0.396782	+	0.134689i
$431$	0.528336	+	8.06086i	0.0254491	+	0.388278i	0.991516	+	0.129985i	$0.0414931\pi$
$431$	0.528336	+	8.06086i	0.0254491	+	0.388278i	−0.966067	+	0.258292i	$0.916840\pi$
$432$	−0.658097	+	0.223394i	−0.0316627	+	0.0107480i
$433$	−4.23421	−	10.2223i	−0.203483	−	0.491252i	0.788888	−	0.614537i	$-0.210657\pi$
$433$	−4.23421	−	10.2223i	−0.203483	−	0.491252i	−0.992371	+	0.123285i	$0.960657\pi$
$434$	−55.5516	+	8.55261i	−2.66656	+	0.410538i
$435$	2.19839	−	11.0521i	0.105405	−	0.529906i
$436$	8.53211	−	17.3014i	0.408614	−	0.828587i
$437$	−0.799464	+	2.35514i	−0.0382435	+	0.112662i
$438$	−7.30967	−	27.2801i	−0.349270	−	1.30349i
$439$	−1.24721	+	19.0287i	−0.0595260	+	0.908191i	0.858786	+	0.512334i	$0.171219\pi$
$439$	−1.24721	+	19.0287i	−0.0595260	+	0.908191i	−0.918312	+	0.395857i	$0.870448\pi$
$440$	−2.76900	+	6.68495i	−0.132007	+	0.318692i
$441$	−6.99331	+	0.305927i	−0.333015	+	0.0145680i
$442$	8.29226	+	42.2600i	0.394423	+	2.01010i
$443$	5.59036	+	9.68279i	0.265606	+	0.460043i	0.967722	−	0.252019i	$-0.0810946\pi$
$443$	5.59036	+	9.68279i	0.265606	+	0.460043i	−0.702116	+	0.712062i	$0.747761\pi$
$444$	−20.3037	+	15.5795i	−0.963569	+	0.739372i
$445$	−1.87399	+	0.924151i	−0.0888358	+	0.0438090i
$446$	−18.9515	−	5.07805i	−0.897381	−	0.240453i
$447$	1.42715	+	7.17478i	0.0675020	+	0.339356i
$448$	−32.4354	+	11.8071i	−1.53243	+	0.557832i
$449$	−36.0031	−	7.16147i	−1.69909	−	0.337971i	−0.752057	−	0.659098i	$-0.770938\pi$
$449$	−36.0031	−	7.16147i	−1.69909	−	0.337971i	−0.947036	+	0.321127i	$0.895938\pi$
$450$	−2.11019	−	1.61920i	−0.0994751	−	0.0763299i
$451$	−1.18775	+	9.02189i	−0.0559292	+	0.424824i
$452$	18.5936	+	16.3061i	0.874569	+	0.766977i
$453$	−14.4538	−	7.12783i	−0.679099	−	0.334895i
$454$	59.0643	−	11.7486i	2.77202	−	0.551390i
$455$	26.7386	+	14.6678i	1.25353	+	0.687639i
$456$	−1.97019	+	2.94860i	−0.0922628	+	0.138081i
$457$	4.52619	+	34.3799i	0.211726	+	1.60822i	0.685836	+	0.727756i	$0.259437\pi$
$457$	4.52619	+	34.3799i	0.211726	+	1.60822i	−0.474110	+	0.880466i	$0.657230\pi$
$458$	29.0546	−	50.3241i	1.35763	−	2.35149i
$459$	−2.50150	−	3.27757i	−0.116760	−	0.152984i
$460$	11.2426	−	6.49089i	0.524187	−	0.302639i
$461$	−18.4091	−	7.62530i	−0.857397	−	0.355145i	−0.0897080	−	0.995968i	$-0.528593\pi$
$461$	−18.4091	−	7.62530i	−0.857397	−	0.355145i	−0.767689	+	0.640823i	$0.778593\pi$
$462$	1.55090	+	6.99424i	0.0721542	+	0.325401i
$463$	−10.3268	−	10.3268i	−0.479929	−	0.479929i	0.425180	−	0.905109i	$-0.360211\pi$
$463$	−10.3268	−	10.3268i	−0.479929	−	0.479929i	−0.905109	+	0.425180i	$0.860211\pi$
$464$	−2.07700	−	2.36836i	−0.0964221	−	0.109948i
$465$	−23.3943	+	1.53335i	−1.08489	+	0.0711072i
$466$	35.4034	−	40.3698i	1.64003	−	1.87010i
$467$	17.9190	−	23.3525i	0.829193	−	1.08063i	−0.166327	−	0.986071i	$-0.553191\pi$
$467$	17.9190	−	23.3525i	0.829193	−	1.08063i	0.995520	−	0.0945544i	$-0.0301426\pi$
$468$	−13.1715	+	5.45583i	−0.608854	+	0.252196i
$469$	−21.5915	−	30.8331i	−0.997002	−	1.42374i
$470$	28.1735	+	42.1646i	1.29954	+	1.94491i
$471$	−14.4619	+	12.6827i	−0.666368	+	0.584389i
$472$	−11.3807	+	3.04945i	−0.523839	+	0.140362i
$473$	−0.824795	−	1.67252i	−0.0379241	−	0.0769025i
$474$	21.4288	−	2.82116i	0.984259	−	0.129580i
$475$	1.72922			0.0793422
$476$	−20.9284	−	26.2129i	−0.959253	−	1.20146i
$477$	5.46002			0.249997
$478$	−27.7797	+	3.65727i	−1.27062	+	0.167280i
$479$	11.1090	+	22.5269i	0.507584	+	1.02928i	0.988317	+	0.152412i	$0.0487040\pi$
$479$	11.1090	+	22.5269i	0.507584	+	1.02928i	−0.480733	+	0.876867i	$0.659629\pi$
$480$	−15.3890	+	4.12346i	−0.702407	+	0.188209i
$481$	29.0138	−	25.4444i	1.32292	−	1.16017i
$482$	−13.7671	−	20.6039i	−0.627074	−	0.938482i
$483$	1.89867	−	4.07215i	0.0863923	−	0.185289i
$484$	−27.1444	+	11.2436i	−1.23384	+	0.511072i
$485$	17.1728	−	22.3800i	0.779777	−	1.01623i
$486$	1.48534	−	1.69370i	0.0673763	−	0.0768279i
$487$	−30.8988	+	2.02522i	−1.40016	+	0.0917713i	−0.746685	−	0.665178i	$-0.768356\pi$
$487$	−30.8988	+	2.02522i	−1.40016	+	0.0917713i	−0.653474	+	0.756949i	$0.726689\pi$
$488$	−7.31812	−	8.34471i	−0.331276	−	0.377747i
$489$	−3.55102	−	3.55102i	−0.160582	−	0.160582i
$490$	−39.1946	−	0.851914i	−1.77063	−	0.0384855i
$491$	33.1467	+	13.7298i	1.49589	+	0.619617i	0.972589	−	0.232531i	$-0.0747008\pi$
$491$	33.1467	+	13.7298i	1.49589	+	0.619617i	0.523300	+	0.852149i	$0.324701\pi$
$492$	20.1596	−	11.6392i	0.908865	−	0.524733i
$493$	9.38616	−	16.1605i	0.422731	−	0.727831i
$494$	7.64869	−	13.2479i	0.344131	−	0.596052i
$495$	0.390049	+	2.96272i	0.0175314	+	0.133164i
$496$	−3.64111	+	5.44931i	−0.163491	+	0.244681i
$497$	−7.16393	−	11.8047i	−0.321346	−	0.529512i
$498$	−4.00856	+	0.797352i	−0.179628	+	0.0357302i
$499$	−32.6343	−	16.0935i	−1.46091	−	0.720442i	−0.473823	−	0.880620i	$-0.657126\pi$
$499$	−32.6343	−	16.0935i	−1.46091	−	0.720442i	−0.987088	+	0.160178i	$0.948793\pi$
$500$	21.9509	+	19.2504i	0.981673	+	0.860904i
$501$	−0.481945	+	3.66074i	−0.0215317	+	0.163550i
$502$	48.7777	+	37.4285i	2.17706	+	1.67051i
$503$	41.3890	+	8.23279i	1.84545	+	0.367082i	0.988851	−	0.148907i	$-0.0475756\pi$
$503$	41.3890	+	8.23279i	1.84545	+	0.367082i	0.856595	+	0.515989i	$0.172576\pi$
$504$	4.11771	−	4.90772i	0.183417	−	0.218607i
$505$	6.32914	+	31.8187i	0.281643	+	1.41591i
$506$	−4.44169	−	1.19015i	−0.197457	−	0.0529086i
$507$	7.62140	−	3.75846i	0.338478	−	0.166919i
$508$	23.0007	−	17.6491i	1.02049	−	0.783050i
$509$	1.66254	+	2.87960i	0.0736906	+	0.127636i	0.900516	−	0.434823i	$-0.143189\pi$
$509$	1.66254	+	2.87960i	0.0736906	+	0.127636i	−0.826826	+	0.562459i	$0.809856\pi$
$510$	−12.7793	−	19.2332i	−0.565875	−	0.851660i
$511$	−23.9614	−	22.9361i	−1.05999	−	1.01463i
$512$	−2.99231	+	7.22408i	−0.132243	+	0.319262i
$513$	−0.0957871	+	1.46143i	−0.00422911	+	0.0645237i
$514$	−7.64132	−	28.5178i	−0.337044	−	1.25787i
$515$	−9.36380	+	27.5849i	−0.412619	+	1.21553i
$516$	−2.10993	+	4.27852i	−0.0928845	+	0.188351i
$517$	2.12329	−	10.6745i	0.0933820	−	0.469463i
$518$	−17.9775	+	46.2350i	−0.789888	+	2.03145i
$519$	−7.55564	−	18.2409i	−0.331656	−	0.800687i
$520$	−26.4299	+	8.97173i	−1.15903	+	0.393436i
$521$	−0.442965	−	6.75833i	−0.0194066	−	0.296088i	−0.996519	−	0.0833647i	$-0.973433\pi$
$521$	−0.442965	−	6.75833i	−0.0194066	−	0.296088i	0.977112	−	0.212723i	$-0.0682333\pi$
$522$	9.66897	+	3.28217i	0.423199	+	0.143657i
$523$	−0.947005	+	3.53427i	−0.0414096	+	0.154543i	−0.983535	−	0.180718i	$-0.942158\pi$
$523$	−0.947005	+	3.53427i	−0.0414096	+	0.154543i	0.942125	+	0.335261i	$0.108824\pi$
$524$	5.92930	+	3.96183i	0.259023	+	0.173073i
$525$	−3.10530	−	0.339953i	−0.135527	−	0.0148368i
$526$			21.5506i			0.939649i
$527$	−37.5308	−	10.1606i	−1.63487	−	0.442605i
$528$	0.723444	+	0.417681i	0.0314839	+	0.0181772i
$529$	−12.2459	−	15.9592i	−0.532430	−	0.693877i
$530$	30.5137	+	1.99997i	1.32543	+	0.0868732i
$531$	−3.44072	+	3.44072i	−0.149314	+	0.149314i
$532$	−0.519208	+	11.9034i	−0.0225105	+	0.516076i
$533$	−29.1857	+	19.5012i	−1.26417	+	0.844692i
$534$	−0.608596	−	1.79287i	−0.0263365	−	0.0775849i
$535$	1.38768	+	0.182692i	0.0599947	+	0.00789845i
$536$	34.1543	+	4.49650i	1.47524	+	0.194219i
$537$	−0.814733	−	2.40013i	−0.0351583	−	0.103573i
$538$	51.8016	−	34.6127i	2.23333	−	1.49226i
$539$	5.81888	+	6.07745i	0.250637	+	0.261774i
$540$	5.40541	−	5.40541i	0.232612	−	0.232612i
$541$	−33.3028	−	2.18278i	−1.43180	−	0.0938451i	−0.670338	−	0.742056i	$-0.733851\pi$
$541$	−33.3028	−	2.18278i	−1.43180	−	0.0938451i	−0.761461	+	0.648211i	$0.775518\pi$
$542$	−7.95201	−	10.3633i	−0.341568	−	0.445140i
$543$	15.4431	+	8.91610i	0.662728	+	0.382626i
$544$	−26.3612	−	1.79641i	−1.13023	−	0.0770204i
$545$		−	15.5971i		−	0.668108i
$546$	−16.3398	+	22.2867i	−0.699280	+	0.953782i
$547$	−30.8769	−	20.6313i	−1.32020	−	0.882131i	−0.322285	−	0.946643i	$-0.604451\pi$
$547$	−30.8769	−	20.6313i	−1.32020	−	0.882131i	−0.997917	+	0.0645118i	$0.979451\pi$
$548$	−16.3166	+	60.8945i	−0.697012	+	2.60128i
$549$	−4.34053	−	1.47341i	−0.185249	−	0.0628836i
$550$	0.209100	+	3.19025i	0.00891607	+	0.136033i
$551$	−6.28604	+	2.13382i	−0.267794	+	0.0909039i
$552$	1.57359	+	3.79899i	0.0669765	+	0.161696i
$553$	19.7962	−	15.8895i	0.841822	−	0.675692i
$554$	−10.2241	+	51.3998i	−0.434379	+	2.18377i
$555$	−9.15183	+	18.5581i	−0.388473	+	0.787746i
$556$	−7.49248	+	22.0721i	−0.317752	+	0.936068i
$557$	6.48050	+	24.1855i	0.274588	+	1.02477i	0.956117	+	0.292984i	$0.0946483\pi$
$557$	6.48050	+	24.1855i	0.274588	+	1.02477i	−0.681530	+	0.731790i	$0.738685\pi$
$558$	1.38942	−	21.1984i	0.0588188	−	0.897401i
$559$	2.75280	−	6.64584i	0.116431	−	0.281089i
$560$	−3.16098	+	3.30228i	−0.133576	+	0.139547i
$561$	−0.979448	+	4.85820i	−0.0413523	+	0.205113i
$562$	25.2246	+	43.6902i	1.06403	+	1.84296i
$563$	29.9753	−	23.0009i	1.26331	−	0.969371i	0.263320	−	0.964709i	$-0.415183\pi$
$563$	29.9753	−	23.0009i	1.26331	−	0.969371i	0.999989	−	0.00466237i	$-0.00148408\pi$
$564$	−24.9704	+	12.3140i	−1.05144	+	0.518515i
$565$	19.3142	+	5.17522i	0.812554	+	0.217723i
$566$	0.142434	+	0.716067i	0.00598697	+	0.0300985i
$567$	0.459320	−	2.60558i	0.0192896	−	0.109424i
$568$	12.3945	+	2.46542i	0.520063	+	0.103447i
$569$	−25.6429	−	19.6765i	−1.07501	−	0.824882i	−0.0897507	−	0.995964i	$-0.528607\pi$
$569$	−25.6429	−	19.6765i	−1.07501	−	0.824882i	−0.985257	+	0.171082i	$0.945274\pi$
$570$	−1.07062	+	8.13220i	−0.0448435	+	0.340620i
$571$	0.107239	+	0.0940459i	0.00448780	+	0.00393570i	0.661587	−	0.749869i	$-0.269883\pi$
$571$	0.107239	+	0.0940459i	0.00448780	+	0.00393570i	−0.657099	+	0.753804i	$0.728217\pi$
$572$	15.3693	+	7.57930i	0.642623	+	0.316906i
$573$	1.50180	−	0.298728i	0.0627388	−	0.0124795i
$574$	21.7015	−	39.5605i	0.905802	−	1.65122i
$575$	1.11397	−	1.66717i	0.0464556	−	0.0695257i
$576$	−1.70290	−	12.9348i	−0.0709541	−	0.538950i
$577$	−11.8837	+	20.5832i	−0.494725	+	0.856889i	−0.999982	−	0.00608049i	$-0.998065\pi$
$577$	−11.8837	+	20.5832i	−0.494725	+	0.856889i	0.505257	+	0.862969i	$0.331398\pi$
$578$	−9.72008	−	37.0426i	−0.404302	−	1.54077i
$579$	18.4068	−	10.6272i	0.764959	−	0.441649i
$580$	32.0117	+	13.2597i	1.32922	+	0.550579i
$581$	−3.53888	+	3.24306i	−0.146818	+	0.134545i
$582$	18.0747	+	18.0747i	0.749222	+	0.749222i
$583$	−4.32723	−	4.93426i	−0.179216	−	0.204356i
$584$	30.2915	−	1.98541i	1.25347	−	0.0821568i
$585$	−7.60027	+	8.66644i	−0.314232	+	0.358313i
$586$	7.79396	−	10.1573i	0.321966	−	0.419594i
$587$	4.67458	−	1.93627i	0.192941	−	0.0799186i	−0.284121	−	0.958788i	$-0.591702\pi$
$587$	4.67458	−	1.93627i	0.192941	−	0.0799186i	0.477062	+	0.878870i	$0.341702\pi$
$588$	3.27250	−	21.2738i	0.134956	−	0.877315i
$589$	7.67309	+	11.4836i	0.316164	+	0.473173i
$590$	−20.4890	+	17.9683i	−0.843518	+	0.739745i
$591$	−6.45967	+	1.73086i	−0.265715	+	0.0711982i
$592$	2.55836	+	5.18783i	0.105148	+	0.213219i
$593$	−13.7327	+	1.80794i	−0.563934	+	0.0742434i	−0.407103	−	0.913382i	$-0.633461\pi$
$593$	−13.7327	+	1.80794i	−0.563934	+	0.0742434i	−0.156831	+	0.987625i	$0.550128\pi$
$594$	−2.70778			−0.111102
$595$	−24.5499	−	11.5241i	−1.00645	−	0.472442i
$596$	−22.4936			−0.921375
$597$	15.5259	−	2.04402i	0.635431	−	0.0836561i
$598$	−7.84522	−	15.9085i	−0.320815	−	0.650548i
$599$	−37.0435	+	9.92578i	−1.51356	+	0.405556i	−0.917615	−	0.397471i	$-0.869888\pi$
$599$	−37.0435	+	9.92578i	−1.51356	+	0.405556i	−0.595942	+	0.803027i	$0.703221\pi$
$600$	2.14946	−	1.88502i	0.0877512	−	0.0769558i
$601$	−1.69895	−	2.54266i	−0.0693016	−	0.103717i	0.795200	−	0.606347i	$-0.207366\pi$
$601$	−1.69895	−	2.54266i	−0.0693016	−	0.103717i	−0.864502	+	0.502630i	$0.832366\pi$
$602$	0.806314	+	9.21173i	0.0328629	+	0.375442i
$603$	13.1441	−	5.44447i	0.535270	−	0.221716i
$604$	30.1664	−	39.3136i	1.22745	−	1.59965i
$605$	−15.6629	+	17.8601i	−0.636788	+	0.726118i
$606$	−29.3339	+	1.92265i	−1.19161	+	0.0781023i
$607$	−23.8417	−	27.1863i	−0.967705	−	1.10346i	−0.994596	−	0.103818i	$-0.966894\pi$
$607$	−23.8417	−	27.1863i	−0.967705	−	1.10346i	0.0268912	−	0.999638i	$-0.491439\pi$
$608$	6.63652	+	6.63652i	0.269146	+	0.269146i
$609$	11.7078	−	2.59609i	0.474426	−	0.105199i
$610$	−23.7176	−	9.82416i	−0.960298	−	0.397768i
$611$	36.3578	−	20.9912i	1.47088	−	0.849212i
$612$	11.3850	−	5.57783i	0.460211	−	0.225471i
$613$	−14.5896	+	25.2699i	−0.589267	+	1.02064i	0.405062	+	0.914289i	$0.367250\pi$
$613$	−14.5896	+	25.2699i	−0.589267	+	1.02064i	−0.994329	+	0.106351i	$0.966083\pi$
$614$	0.105426	+	0.800789i	0.00425464	+	0.0323172i
$615$	10.4565	−	15.6492i	0.421645	−	0.631037i
$616$	−7.69855	+	0.168309i	−0.310183	+	0.00678135i
$617$	−20.5643	+	4.09049i	−0.827888	+	0.164677i	−0.590807	−	0.806813i	$-0.701191\pi$
$617$	−20.5643	+	4.09049i	−0.827888	+	0.164677i	−0.237081	+	0.971490i	$0.576191\pi$
$618$	−23.6743	−	11.6749i	−0.952319	−	0.469632i
$619$	9.89940	+	8.68154i	0.397891	+	0.348941i	0.834789	−	0.550570i	$-0.185590\pi$
$619$	9.89940	+	8.68154i	0.397891	+	0.348941i	−0.436898	+	0.899511i	$0.643923\pi$
$620$	9.40944	−	71.4718i	0.377892	−	2.87038i
$621$	1.34728	+	1.03380i	0.0540644	+	0.0414851i
$622$	16.3417	+	3.25056i	0.655242	+	0.130336i
$623$	−1.70348	−	1.42926i	−0.0682484	−	0.0572623i
$624$	0.628643	+	3.16040i	0.0251659	+	0.126517i
$625$	28.5040	+	7.63761i	1.14016	+	0.305504i
$626$	52.6958	−	25.9867i	2.10615	−	1.03864i
$627$	1.39662	−	1.07166i	0.0557755	−	0.0427981i
$628$	−29.5729	−	51.2217i	−1.18009	−	2.04397i
$629$	−24.3285	+	24.2027i	−0.970040	+	0.965026i
$630$	3.52134	−	14.3932i	0.140294	−	0.573438i
$631$	−10.8131	+	26.1051i	−0.430462	+	1.03923i	0.548677	+	0.836034i	$0.315132\pi$
$631$	−10.8131	+	26.1051i	−0.430462	+	1.03923i	−0.979139	+	0.203192i	$0.934868\pi$
$632$	−1.51942	+	23.1819i	−0.0604393	+	0.922126i
$633$	3.58525	+	13.3803i	0.142501	+	0.531821i
$634$	−17.7471	+	52.2812i	−0.704826	+	2.07635i
$635$	10.3675	−	21.0232i	0.411422	−	0.834282i
$636$	−3.27533	+	16.4662i	−0.129875	+	0.652927i
$637$	−2.82599	+	32.3327i	−0.111970	+	1.28107i
$638$	−4.69682	−	11.3391i	−0.185949	−	0.448920i
$639$	4.94211	−	1.67762i	0.195507	−	0.0663656i
$640$	−2.69484	−	41.1153i	−0.106523	−	1.62522i
$641$	19.2719	+	6.54194i	0.761196	+	0.258391i	0.674931	−	0.737881i	$-0.264174\pi$
$641$	19.2719	+	6.54194i	0.761196	+	0.258391i	0.0862650	+	0.996272i	$0.472507\pi$
$642$	−0.328254	+	1.22506i	−0.0129552	+	0.0483493i
$643$	−16.8941	−	11.2883i	−0.666240	−	0.445167i	0.175913	−	0.984406i	$-0.443712\pi$
$643$	−16.8941	−	11.2883i	−0.666240	−	0.445167i	−0.842153	+	0.539238i	$0.818712\pi$
$644$	11.1417	+	8.16873i	0.439045	+	0.321893i
$645$			3.85706i			0.151872i
$646$	−6.04818	+	12.1848i	−0.237963	+	0.479405i
$647$	−6.76488	−	3.90570i	−0.265955	−	0.153549i	0.361093	−	0.932530i	$-0.382404\pi$
$647$	−6.76488	−	3.90570i	−0.265955	−	0.153549i	−0.627048	+	0.778981i	$0.715737\pi$
$648$	1.47404	+	1.92100i	0.0579057	+	0.0754641i
$649$	5.83627	+	0.382529i	0.229094	+	0.0150156i
$650$	−8.72038	+	8.72038i	−0.342041	+	0.342041i
$651$	−11.5216	−	22.1305i	−0.451567	−	0.867362i
$652$	12.8392	−	8.57889i	0.502823	−	0.335975i
$653$	−10.7638	−	31.7092i	−0.421221	−	1.24088i	−0.925966	−	0.377608i	$-0.876747\pi$
$653$	−10.7638	−	31.7092i	−0.421221	−	1.24088i	0.504745	−	0.863268i	$-0.331587\pi$
$654$	14.0122	+	1.84474i	0.547920	+	0.0721351i
$655$	5.71637	+	0.752574i	0.223357	+	0.0294055i
$656$	−1.69121	−	4.98215i	−0.0660307	−	0.194520i
$657$	10.4240	−	6.96513i	0.406681	−	0.271735i
$658$	−28.9947	+	45.5168i	−1.13033	+	1.77443i
$659$	19.0302	−	19.0302i	0.741313	−	0.741313i	−0.231518	−	0.972831i	$-0.574369\pi$
$659$	19.0302	−	19.0302i	0.741313	−	0.741313i	0.972831	+	0.231518i	$0.0743691\pi$
$660$	−9.16885	−	0.600958i	−0.356897	−	0.0233923i
$661$	11.8969	+	15.5044i	0.462737	+	0.603050i	0.965189	−	0.261555i	$-0.0842353\pi$
$661$	11.8969	+	15.5044i	0.462737	+	0.603050i	−0.502452	+	0.864605i	$0.667569\pi$
$662$	3.97392	+	2.29434i	0.154451	+	0.0891722i
$663$	−16.5806	+	9.51560i	−0.643936	+	0.369555i
$664$		−	4.39303i		−	0.170483i
$665$	3.88017	+	8.81734i	0.150466	+	0.341922i
$666$	−15.5898	−	10.4168i	−0.604093	−	0.403642i
$667$	−1.99222	+	7.43507i	−0.0771391	+	0.287887i
$668$	−10.7508	−	3.64942i	−0.415962	−	0.141200i
$669$	−0.569623	−	8.69076i	−0.0220229	−	0.336004i
$670$	75.4510	−	25.6121i	2.91492	−	0.989484i
$671$	2.10847	+	5.09029i	0.0813964	+	0.196508i
$672$	−10.6130	−	13.2224i	−0.409407	−	0.510066i
$673$	3.32521	−	16.7170i	0.128177	−	0.644392i	−0.862264	−	0.506459i	$-0.830954\pi$
$673$	3.32521	−	16.7170i	0.128177	−	0.644392i	0.990442	−	0.137933i	$-0.0440458\pi$
$674$	−7.46290	+	15.1333i	−0.287460	+	0.582911i
$675$	0.379526	−	1.11805i	0.0146080	−	0.0430337i
$676$	6.76277	+	25.2390i	0.260107	+	0.970731i
$677$	0.344216	−	5.25171i	0.0132293	−	0.201840i	−0.986128	−	0.165988i	$-0.946919\pi$
$677$	0.344216	−	5.25171i	0.0132293	−	0.201840i	0.999357	−	0.0358521i	$-0.0114145\pi$
$678$	−6.93370	+	16.7394i	−0.266287	+	0.642874i
$679$	29.1609	+	7.13432i	1.11909	+	0.273790i
$680$	22.9554	−	9.43883i	0.880299	−	0.361962i
$681$	13.3662	+	23.1510i	0.512195	+	0.887149i
$682$	−20.2583	+	15.5448i	−0.775731	+	0.595239i
$683$	12.6265	−	6.22671i	0.483140	−	0.238258i	−0.184373	−	0.982856i	$-0.559025\pi$
$683$	12.6265	−	6.22671i	0.483140	−	0.238258i	0.667513	+	0.744598i	$0.267359\pi$
$684$	−4.34988	−	1.16555i	−0.166322	−	0.0445658i
$685$	9.94408	+	49.9923i	0.379944	+	1.91011i
$686$	−15.9710	−	38.5435i	−0.609775	−	1.47160i
$687$	25.2992	+	5.03233i	0.965226	+	0.191995i
$688$	0.855415	+	0.656383i	0.0326124	+	0.0250244i
$689$	3.30437	−	25.0992i	0.125886	−	0.956203i
$690$	7.15068	+	6.27097i	0.272222	+	0.238732i
$691$	13.5858	+	6.69978i	0.516829	+	0.254872i	0.681946	−	0.731402i	$-0.261134\pi$
$691$	13.5858	+	6.69978i	0.516829	+	0.254872i	−0.165118	+	0.986274i	$0.552800\pi$
$692$	59.5429	−	11.8438i	2.26348	−	0.450234i
$693$	−2.71870	+	1.64991i	−0.103275	+	0.0626747i
$694$	8.56644	−	12.8206i	0.325178	−	0.486663i
$695$	2.45991	+	18.6849i	0.0933096	+	0.708757i
$696$	−5.48759	+	9.50479i	−0.208007	+	0.360278i
$697$	24.8130	−	18.9377i	0.939859	−	0.717318i
$698$	−15.7665	+	9.10277i	−0.596769	+	0.344545i
$699$	22.0209	+	9.12136i	0.832907	+	0.345001i
$700$	2.88801	−	9.16096i	0.109157	−	0.346252i
$701$	28.3648	+	28.3648i	1.07132	+	1.07132i	0.997253	+	0.0740718i	$0.0235994\pi$
$701$	28.3648	+	28.3648i	1.07132	+	1.07132i	0.0740718	+	0.997253i	$0.476401\pi$
$702$	−6.88686	−	7.85296i	−0.259928	−	0.296391i
$703$	12.1636	−	0.797242i	0.458757	−	0.0300685i
$704$	−10.3397	+	11.7901i	−0.389691	+	0.444358i
$705$	−13.7037	+	17.8590i	−0.516110	+	0.672607i
$706$	44.2306	−	18.3209i	1.66464	−	0.689517i
$707$	−28.2807	+	19.8041i	−1.06361	+	0.744812i
$708$	−8.31242	−	12.4404i	−0.312400	−	0.467539i
$709$	11.7702	−	10.3222i	0.442040	−	0.387659i	−0.409192	−	0.912448i	$-0.634189\pi$
$709$	11.7702	−	10.3222i	0.442040	−	0.387659i	0.851232	+	0.524789i	$0.175856\pi$
$710$	28.2338	−	7.56522i	1.05960	−	0.283918i
$711$	4.24350	+	8.60496i	0.159144	+	0.322711i
$712$	2.01766	−	0.265630i	0.0756150	−	0.00995490i
$713$	16.0145			0.599748
$714$	13.2567	−	20.6922i	0.496118	−	0.774387i
$715$	13.8554			0.518161
$716$	7.72697	−	1.01727i	0.288770	−	0.0380173i
$717$	−5.50115	−	11.1552i	−0.205444	−	0.416600i
$718$	−45.3649	+	12.1555i	−1.69300	+	0.453639i
$719$	−24.3144	+	21.3232i	−0.906774	+	0.795220i	−0.979356	−	0.202143i	$-0.935210\pi$
$719$	−24.3144	+	21.3232i	−0.906774	+	0.795220i	0.0725817	+	0.997362i	$0.476876\pi$
$720$	−0.959909	−	1.43661i	−0.0357737	−	0.0535391i
$721$	−30.8834	+	2.70327i	−1.15016	+	0.100675i
$722$	−35.0798	+	14.5305i	−1.30554	+	0.540770i
$723$	6.69636	−	8.72686i	0.249040	−	0.324555i
$724$	−36.1529	+	41.2244i	−1.34361	+	1.53209i
$725$	5.34025	−	0.350019i	0.198332	−	0.0129994i
$726$	−14.1927	−	16.1837i	−0.526741	−	0.600633i
$727$	3.17130	+	3.17130i	0.117617	+	0.117617i	0.763466	−	0.645849i	$-0.223496\pi$
$727$	3.17130	+	3.17130i	0.117617	+	0.117617i	−0.645849	+	0.763466i	$0.723496\pi$
$728$	−20.0683	−	21.8988i	−0.743780	−	0.811625i
$729$	0.923880	+	0.382683i	0.0342178	+	0.0141735i
$730$	60.8067	−	35.1068i	2.25056	−	1.29936i
$731$	−2.07187	+	6.05197i	−0.0766308	+	0.223840i
$732$	7.04724	−	12.2062i	0.260474	−	0.451153i
$733$	1.65208	+	12.5488i	0.0610209	+	0.463500i	0.994489	+	0.104840i	$0.0334330\pi$
$733$	1.65208	+	12.5488i	0.0610209	+	0.463500i	−0.933468	+	0.358660i	$0.883234\pi$
$734$	1.24817	−	1.86802i	0.0460709	−	0.0689500i
$735$	−5.23450	−	16.5968i	−0.193078	−	0.612183i
$736$	10.6736	−	2.12311i	0.393434	−	0.0782590i
$737$	−15.3373	−	7.56352i	−0.564957	−	0.278606i
$738$	12.8222	+	11.2448i	0.471993	+	0.413927i
$739$	3.12728	−	23.7540i	0.115039	−	0.873806i	−0.832469	−	0.554072i	$-0.813073\pi$
$739$	3.12728	−	23.7540i	0.115039	−	0.873806i	0.947507	−	0.319734i	$-0.103593\pi$
$740$	−50.4770	−	38.7323i	−1.85557	−	1.42383i
$741$	6.66007	+	1.32477i	0.244664	+	0.0486667i
$742$	11.1316	+	30.5798i	0.408654	+	1.12262i
$743$	−5.13539	−	25.8174i	−0.188399	−	0.947147i	−0.953076	−	0.302732i	$-0.902101\pi$
$743$	−5.13539	−	25.8174i	−0.188399	−	0.947147i	0.764676	−	0.644415i	$-0.222899\pi$
$744$	22.0561	+	5.90990i	0.808614	+	0.216668i
$745$	−16.3112	+	8.04377i	−0.597595	+	0.294701i
$746$	2.19100	−	1.68121i	0.0802181	−	0.0615535i
$747$	−0.907137	−	1.57121i	−0.0331904	−	0.0574875i
$748$	−14.0637	−	5.86810i	−0.514219	−	0.214559i
$749$	0.416876	+	1.43001i	0.0152323	+	0.0522515i
$750$	−8.18566	+	19.7619i	−0.298898	+	0.721603i
$751$	−2.53227	+	38.6350i	−0.0924040	+	1.40981i	0.660076	+	0.751198i	$0.270524\pi$
$751$	−2.53227	+	38.6350i	−0.0924040	+	1.40981i	−0.752480	+	0.658615i	$0.771143\pi$
$752$	1.62869	+	6.07836i	0.0593923	+	0.221655i
$753$	−8.77288	+	25.8441i	−0.319702	+	0.941811i
$754$	20.9394	−	42.4609i	0.762568	−	1.54634i
$755$	7.81639	−	39.2956i	0.284468	−	1.43011i
$756$	7.58229	+	2.94822i	0.275765	+	0.107226i
$757$	−10.5310	−	25.4242i	−0.382757	−	0.924058i	−0.991430	−	0.130637i	$-0.958298\pi$
$757$	−10.5310	−	25.4242i	−0.382757	−	0.924058i	0.608673	−	0.793421i	$-0.291702\pi$
$758$	−21.8772	+	7.42631i	−0.794616	+	0.269736i
$759$	−0.133503	−	2.03687i	−0.00484586	−	0.0739335i
$760$	−8.34847	−	2.83392i	−0.302831	−	0.102797i
$761$	6.04855	−	22.5735i	0.219260	−	0.818288i	−0.765364	−	0.643598i	$-0.777441\pi$
$761$	6.04855	−	22.5735i	0.219260	−	0.818288i	0.984623	−	0.174690i	$-0.0558924\pi$
$762$	17.6607	+	11.8005i	0.639780	+	0.427487i
$763$	15.1927	−	6.68573i	0.550014	−	0.242040i
$764$			4.70830i			0.170340i
$765$	6.26114	−	8.11605i	0.226372	−	0.293436i
$766$	−51.2905	−	29.6126i	−1.85320	−	1.06995i
$767$	13.7343	+	17.8989i	0.495918	+	0.646293i
$768$	11.2190	+	0.735333i	0.404831	+	0.0265340i
$769$	26.8935	−	26.8935i	0.969803	−	0.969803i	−0.0297538	−	0.999557i	$-0.509472\pi$
$769$	26.8935	−	26.8935i	0.969803	−	0.969803i	0.999557	+	0.0297538i	$0.00947232\pi$
$770$	−15.7980	+	8.22476i	−0.569320	+	0.296400i
$771$	10.8970	−	7.28114i	0.392446	−	0.262224i
$772$	21.0073	+	61.8856i	0.756070	+	2.22731i
$773$	19.3441	+	2.54671i	0.695761	+	0.0915986i	0.470108	−	0.882609i	$-0.344215\pi$
$773$	19.3441	+	2.54671i	0.695761	+	0.0915986i	0.225653	+	0.974208i	$0.427548\pi$
$774$	−3.46512	−	0.456192i	−0.124551	−	0.0163975i
$775$	−3.57902	−	10.5435i	−0.128562	−	0.378732i
$776$	−22.8446	+	15.2642i	−0.820072	+	0.547955i
$777$	−21.9998	−	0.959601i	−0.789239	−	0.0344255i
$778$	9.07397	−	9.07397i	0.325318	−	0.325318i
$779$	−11.0638	−	0.725160i	−0.396402	−	0.0259816i
$780$	−21.5768	−	28.1194i	−0.772574	−	1.00684i
$781$	−5.43285	−	3.13666i	−0.194403	−	0.112238i
$782$	7.85131	+	13.6806i	0.280762	+	0.489218i
$783$			4.53263i			0.161983i
$784$	−4.57161	−	1.66349i	−0.163272	−	0.0594105i
$785$	−39.7617	−	26.5679i	−1.41915	−	0.948249i
$786$	−1.35220	+	5.04647i	−0.0482313	+	0.180002i
$787$	−18.2263	−	6.18699i	−0.649697	−	0.220542i	−0.0229155	−	0.999737i	$-0.507295\pi$
$787$	−18.2263	−	6.18699i	−0.649697	−	0.220542i	−0.626782	+	0.779195i	$0.715628\pi$
$788$	−1.34490	−	20.5192i	−0.0479100	−	0.730966i
$789$	−9.05867	+	3.07501i	−0.322497	+	0.109473i
$790$	20.5631	+	49.6437i	0.731602	+	1.76624i
$791$	3.23801	+	21.0318i	0.115130	+	0.747803i
$792$	0.567805	−	2.85455i	0.0201761	−	0.101432i
$793$	−9.39998	+	19.0613i	−0.333803	+	0.676886i
$794$	−8.23084	+	24.2473i	−0.292102	+	0.860504i
$795$	3.51326	+	13.1117i	0.124602	+	0.465022i
$796$	−3.14927	+	48.0486i	−0.111623	+	1.70304i
$797$	−3.13917	+	7.57864i	−0.111195	+	0.268449i	−0.969675	−	0.244399i	$-0.921409\pi$
$797$	−3.13917	+	7.57864i	−0.111195	+	0.268449i	0.858480	+	0.512848i	$0.171409\pi$
$798$	−8.38027	+	2.44301i	−0.296658	+	0.0864816i
$799$	−31.0950	+	20.6607i	−1.10006	+	0.730923i
$800$	−3.78319	−	6.55269i	−0.133756	−	0.231672i
$801$	0.666783	−	0.511641i	0.0235596	−	0.0180779i
$802$	−33.8025	+	16.6695i	−1.19361	+	0.588622i
$803$	−14.5558	−	3.90021i	−0.513663	−	0.137636i
$804$	8.53446	+	42.9056i	0.300987	+	1.51317i
$805$	11.0005	+	1.93921i	0.387718	+	0.0683482i
$806$	−96.6062	−	19.2162i	−3.40281	−	0.676860i
$807$	21.9408	+	16.8357i	0.772352	+	0.592646i
$808$	4.12428	−	31.3271i	0.145092	−	1.10208i
$809$	−34.9218	−	30.6256i	−1.22779	−	1.07674i	−0.994544	−	0.104321i	$-0.966733\pi$
$809$	−34.9218	−	30.6256i	−1.22779	−	1.07674i	−0.233243	−	0.972418i	$-0.574934\pi$
$810$	5.02298	+	2.47706i	0.176490	+	0.0870351i
$811$	−40.3735	+	8.03079i	−1.41771	+	0.281999i	−0.843684	−	0.536840i	$-0.819618\pi$
$811$	−40.3735	+	8.03079i	−1.41771	+	0.281999i	−0.574022	+	0.818840i	$0.694618\pi$
$812$	0.805968	+	36.8655i	0.0282839	+	1.29373i
$813$	3.22149	−	4.82130i	0.112983	−	0.169091i
$814$	2.94167	+	22.3442i	0.103106	+	0.783165i
$815$	6.24247	−	10.8123i	0.218664	−	0.378738i
$816$	−0.734466	−	2.76975i	−0.0257114	−	0.0969606i
$817$	1.96778	−	1.13610i	0.0688440	−	0.0397471i
$818$	−63.7345	−	26.3997i	−2.22843	−	0.923044i
$819$	−11.6996	−	3.68832i	−0.408817	−	0.128880i
$820$	40.9219	+	40.9219i	1.42905	+	1.42905i
$821$	−19.4089	−	22.1316i	−0.677374	−	0.772398i	0.306381	−	0.951909i	$-0.400882\pi$
$821$	−19.4089	−	22.1316i	−0.677374	−	0.772398i	−0.983756	+	0.179511i	$0.942548\pi$
$822$	−46.0883	+	3.02079i	−1.60751	+	0.105362i
$823$	−25.4842	+	29.0592i	−0.888324	+	1.01294i	0.111492	+	0.993765i	$0.464437\pi$
$823$	−25.4842	+	29.0592i	−0.888324	+	1.01294i	−0.999816	+	0.0191744i	$0.993896\pi$
$824$	17.2720	−	22.5093i	0.601699	−	0.784149i
$825$	−1.31117	+	0.543105i	−0.0456492	+	0.0189085i
$826$	−26.2851	−	12.2556i	−0.914574	−	0.426426i
$827$	8.18716	+	12.2529i	0.284695	+	0.426077i	0.946062	−	0.323986i	$-0.105023\pi$
$827$	8.18716	+	12.2529i	0.284695	+	0.426077i	−0.661366	+	0.750063i	$0.730023\pi$
$828$	−3.92591	+	3.44293i	−0.136435	+	0.119650i
$829$	25.4710	−	6.82494i	0.884646	−	0.237040i	0.212235	−	0.977219i	$-0.431926\pi$
$829$	25.4710	−	6.82494i	0.884646	−	0.237040i	0.672410	+	0.740179i	$0.265259\pi$
$830$	−4.49407	−	9.11307i	−0.155991	−	0.316319i
$831$	−23.0645	+	3.03650i	−0.800099	+	0.105335i
$832$	−60.4906			−2.09713
$833$	0.701936	−	28.8532i	0.0243206	−	0.999704i
$834$	−17.0771			−0.591331
$835$	−9.10096	+	1.19816i	−0.314952	+	0.0414642i
$836$	2.39409	+	4.85474i	0.0828015	+	0.167905i
$837$	9.10891	−	2.44073i	0.314850	−	0.0843638i
$838$	−21.6362	+	18.9745i	−0.747411	+	0.655462i
$839$	12.7202	+	19.0371i	0.439149	+	0.657233i	0.983350	−	0.181722i	$-0.0581672\pi$
$839$	12.7202	+	19.0371i	0.439149	+	0.657233i	−0.544201	+	0.838955i	$0.683167\pi$
$840$	14.4349	+	6.73036i	0.498051	+	0.232220i
$841$	7.81164	−	3.23569i	0.269367	−	0.111575i
$842$	−34.2724	+	44.6647i	−1.18111	+	1.53925i
$843$	−14.7657	+	16.8371i	−0.508559	+	0.579901i
$844$	−42.5027	+	2.78578i	−1.46300	+	0.0958904i
$845$	13.9295	+	15.8836i	0.479190	+	0.546412i
$846$	−14.4234	−	14.4234i	−0.495886	−	0.495886i
$847$	−24.1110	−	7.60104i	−0.828463	−	0.261175i
$848$	3.50576	+	1.45213i	0.120388	+	0.0498664i
$849$	−0.280671	+	0.162046i	−0.00963262	+	0.00556140i
$850$	7.25223	−	8.22649i	0.248749	−	0.282166i
$851$	7.06714	−	12.2406i	0.242259	−	0.419604i
$852$	2.09468	+	15.9106i	0.0717624	+	0.545090i
$853$	−8.63772	+	12.9273i	−0.295750	+	0.442621i	−0.949351	−	0.314219i	$-0.898258\pi$
$853$	−8.63772	+	12.9273i	−0.295750	+	0.442621i	0.653601	+	0.756839i	$0.273258\pi$
$854$	−0.597144	−	27.3138i	−0.0204338	−	0.934658i
$855$	−3.57110	+	0.710335i	−0.122129	+	0.0242930i
$856$	−1.22263	−	0.602933i	−0.0417885	−	0.0206078i
$857$	3.47252	+	3.04532i	0.118619	+	0.104026i	0.716601	−	0.697484i	$-0.245697\pi$
$857$	3.47252	+	3.04532i	0.118619	+	0.104026i	−0.597982	+	0.801510i	$0.704030\pi$
$858$	−1.63873	+	12.4474i	−0.0559454	+	0.424948i
$859$	9.64241	+	7.39888i	0.328995	+	0.252447i	0.760029	−	0.649889i	$-0.225185\pi$
$859$	9.64241	+	7.39888i	0.328995	+	0.252447i	−0.431034	+	0.902336i	$0.641851\pi$
$860$	−11.6320	−	2.31375i	−0.396649	−	0.0788984i
$861$	19.7256	+	3.47730i	0.672247	+	0.118506i
$862$	−3.55025	−	17.8483i	−0.120922	−	0.607917i
$863$	0.897854	+	0.240579i	0.0305633	+	0.00818941i	0.274068	−	0.961710i	$-0.411631\pi$
$863$	0.897854	+	0.240579i	0.0305633	+	0.00818941i	−0.243505	+	0.969900i	$0.578297\pi$
$864$	5.74748	−	2.83434i	0.195533	−	0.0964263i
$865$	38.9419	−	29.8812i	1.32406	−	1.01599i
$866$	12.4628	+	21.5862i	0.423503	+	0.733528i
$867$	14.1837	−	9.37132i	0.481705	−	0.318267i
$868$	73.6520	−	21.4710i	2.49991	−	0.728773i
$869$	4.41327	−	10.6546i	0.149710	−	0.361431i
$870$	−1.66027	+	25.3309i	−0.0562886	+	0.858798i
$871$	−17.0730	−	63.7171i	−0.578495	−	2.15897i
$872$	−4.88300	+	14.3848i	−0.165359	+	0.487132i
$873$	−5.01858	+	10.1767i	−0.169853	+	0.344428i
$874$	1.09307	−	5.49522i	0.0369736	−	0.185879i
$875$	3.82267	+	24.8293i	0.129230	+	0.839383i
$876$	14.7521	+	35.6147i	0.498428	+	1.20331i
$877$	−6.78163	+	2.30205i	−0.228999	+	0.0777348i	−0.433581	−	0.901115i	$-0.642750\pi$
$877$	−6.78163	+	2.30205i	−0.228999	+	0.0777348i	0.204581	+	0.978850i	$0.434417\pi$
$878$	−2.80964	−	42.8668i	−0.0948207	−	1.44668i
$879$	5.38167	+	1.82683i	0.181519	+	0.0616175i
$880$	−0.537514	+	2.00603i	−0.0181196	+	0.0676232i
$881$	−11.8514	−	7.91883i	−0.399283	−	0.266792i	0.339676	−	0.940542i	$-0.389682\pi$
$881$	−11.8514	−	7.91883i	−0.399283	−	0.266792i	−0.738959	+	0.673750i	$0.764682\pi$
$882$	15.5294	−	2.73961i	0.522902	−	0.0922474i
$883$			2.00128i			0.0673485i	0.999433	+	0.0336743i	$0.0107209\pi$
$883$			2.00128i			0.0673485i	−0.999433	+	0.0336743i	$0.989279\pi$
$884$	−18.7506	−	55.7114i	−0.630652	−	1.87378i
$885$	−10.4764	−	6.04857i	−0.352162	−	0.203321i
$886$	−15.3331	−	19.9824i	−0.515124	−	0.671323i
$887$	39.8352	+	2.61094i	1.33753	+	0.0876666i	0.717308	−	0.696756i	$-0.245374\pi$
$887$	39.8352	+	2.61094i	1.33753	+	0.0876666i	0.620226	+	0.784423i	$0.287041\pi$
$888$	14.2505	−	14.2505i	0.478215	−	0.478215i
$889$	24.9222	+	1.08707i	0.835863	+	0.0364592i
$890$	3.91377	−	2.61510i	0.131190	−	0.0876583i
$891$	−0.386368	−	1.13820i	−0.0129438	−	0.0381313i
$892$	26.5511	+	3.49551i	0.888995	+	0.117038i
$893$	13.1476	+	1.73092i	0.439969	+	0.0579230i
$894$	−5.29719	−	15.6050i	−0.177165	−	0.521910i
$895$	5.23940	−	3.50086i	0.175134	−	0.117021i
$896$	38.8941	−	20.2491i	1.29936	−	0.676474i
$897$	5.56766	−	5.56766i	0.185899	−	0.185899i
$898$	82.5177	+	5.40850i	2.75365	+	0.180484i
$899$	26.0208	+	33.9109i	0.867841	+	1.13099i
$900$	3.14411	+	1.81525i	0.104804	+	0.0605084i
$901$	−1.53057	+	22.4602i	−0.0509907	+	0.748257i
$902$		−	20.4994i		−	0.682555i
$903$	−3.75706	+	1.65333i	−0.125027	+	0.0550195i
$904$	−16.1928	−	10.8197i	−0.538564	−	0.359857i
$905$	−11.4741	+	42.8221i	−0.381413	+	1.42345i
$906$	34.3780	+	11.6698i	1.14213	+	0.387702i
$907$	2.06670	+	31.5318i	0.0686237	+	1.04699i	0.883825	+	0.467817i	$0.154960\pi$
$907$	2.06670	+	31.5318i	0.0686237	+	1.04699i	−0.815201	+	0.579178i	$0.803374\pi$
$908$	−77.8362	+	26.4218i	−2.58309	+	0.876839i
$909$	−4.99378	−	12.0560i	−0.165633	−	0.399874i
$910$	−64.0329	−	24.8979i	−2.12267	−	0.825358i
$911$	5.35102	−	26.9014i	0.177287	−	0.891282i	−0.785052	−	0.619430i	$-0.787364\pi$
$911$	5.35102	−	26.9014i	0.177287	−	0.891282i	0.962339	−	0.271852i	$-0.0876362\pi$
$912$	−0.450180	+	0.912876i	−0.0149070	+	0.0302283i
$913$	−0.700978	+	2.06501i	−0.0231990	+	0.0683420i
$914$	−20.2182	−	75.4555i	−0.668760	−	2.49585i
$915$	0.745319	−	11.3714i	0.0246395	−	0.375926i
$916$	−30.3527	+	73.2780i	−1.00288	+	2.42117i
$917$	1.71726	+	5.89074i	0.0567091	+	0.194529i
$918$	6.55078	+	6.58482i	0.216208	+	0.217331i
$919$	−26.9681	−	46.7101i	−0.889595	−	1.54082i	−0.840355	−	0.542037i	$-0.817653\pi$
$919$	−26.9681	−	46.7101i	−0.889595	−	1.54082i	−0.0492403	−	0.998787i	$-0.515680\pi$
$920$	−8.11032	+	6.22327i	−0.267389	+	0.205175i
$921$	−0.321565	+	0.158578i	−0.0105959	+	0.00522533i
$922$	43.3583	+	11.6178i	1.42793	+	0.382613i
$923$	−4.72092	−	23.7337i	−0.155391	−	0.781203i
$924$	−3.34486	−	9.18872i	−0.110038	−	0.302287i
$925$	−9.63827	−	1.91717i	−0.316904	−	0.0630362i
$926$	26.1012	+	20.0282i	0.857740	+	0.658167i
$927$	1.52944	−	11.6172i	0.0502333	−	0.381560i
$928$	21.8385	+	19.1518i	0.716883	+	0.628689i
$929$	28.2292	+	13.9211i	0.926168	+	0.456736i	0.841855	−	0.539704i	$-0.181464\pi$
$929$	28.2292	+	13.9211i	0.926168	+	0.456736i	0.0843133	+	0.996439i	$0.473130\pi$
$930$	51.7997	−	10.3036i	1.69858	−	0.337869i
$931$	−6.92548	+	7.55912i	−0.226973	+	0.247740i
$932$	−40.7177	+	60.9384i	−1.33375	+	1.99610i
$933$	0.965404	+	7.33297i	0.0316059	+	0.240071i
$934$	−33.1550	+	57.4261i	−1.08486	+	1.87904i
$935$	−12.2967	+	0.773974i	−0.402144	+	0.0253117i
$936$	9.72274	−	5.61342i	0.317798	−	0.183481i
$937$	6.65914	+	2.75831i	0.217545	+	0.0901099i	0.488794	−	0.872399i	$-0.337437\pi$
$937$	6.65914	+	2.75831i	0.217545	+	0.0901099i	−0.271250	+	0.962509i	$0.587437\pi$
$938$	57.2902	+	62.5159i	1.87059	+	2.04122i
$939$	18.4425	+	18.4425i	0.601847	+	0.601847i
$940$	−45.6381	−	52.0402i	−1.48855	−	1.69737i
$941$	49.2958	−	3.23102i	1.60700	−	0.105328i	0.764716	−	0.644367i	$-0.222879\pi$
$941$	49.2958	−	3.23102i	1.60700	−	0.105328i	0.842281	+	0.539039i	$0.181212\pi$
$942$	28.5709	−	32.5789i	0.930890	−	1.06148i
$943$	−7.82645	+	10.1996i	−0.254864	+	0.332146i
$944$	−3.12429	+	1.29412i	−0.101687	+	0.0421201i
$945$	6.55256	−	0.573553i	0.213155	−	0.0186577i
$946$	2.33395	+	3.49300i	0.0758831	+	0.113567i
$947$	−16.1184	+	14.1354i	−0.523776	+	0.459340i	−0.879941	−	0.475084i	$-0.842418\pi$
$947$	−16.1184	+	14.1354i	−0.523776	+	0.459340i	0.356164	+	0.934423i	$0.384084\pi$
$948$	−28.4962	+	7.63552i	−0.925512	+	0.247990i
$949$	−25.7094	−	52.1336i	−0.834563	−	1.69233i
$950$	−3.86217	+	0.508464i	−0.125305	+	0.0164968i
$951$	−24.5084			−0.794741
$952$	19.0339	+	18.3142i	0.616893	+	0.593567i
$953$	37.2597			1.20696			0.603480	−	0.797378i	$-0.293780\pi$
$953$	37.2597			1.20696			0.603480	+	0.797378i	$0.293780\pi$
$954$	−12.1948	+	1.60548i	−0.394821	+	0.0519792i
$955$	1.68370	+	3.41420i	0.0544832	+	0.110481i
$956$	36.9416	−	9.89848i	1.19478	−	0.320140i
$957$	4.09617	−	3.59224i	0.132410	−	0.116121i
$958$	−31.4355	−	47.0466i	−1.01564	−	1.52001i
$959$	−44.4335	+	31.1155i	−1.43483	+	1.00477i
$960$	29.9658	−	12.4122i	0.967142	−	0.400603i
$961$	35.2652	−	45.9585i	1.13759	−	1.48253i
$962$	−57.3198	+	65.3607i	−1.84806	+	2.10731i
$963$	−0.561786	+	0.0368214i	−0.0181033	+	0.00118655i
$964$	22.3013	+	25.4297i	0.718275	+	0.819036i
$965$	37.3638	+	37.3638i	1.20278	+	1.20278i
$966$	−3.04323	+	9.65333i	−0.0979144	+	0.310591i
$967$	−23.2462	−	9.62889i	−0.747547	−	0.309644i	−0.0238067	−	0.999717i	$-0.507579\pi$
$967$	−23.2462	−	9.62889i	−0.747547	−	0.309644i	−0.723740	+	0.690073i	$0.757579\pi$
$968$	20.0370	−	11.5684i	0.644013	−	0.371821i
$969$	−5.98483	−	0.803699i	−0.192261	−	0.0258185i
$970$	−31.7743	+	55.0347i	−1.02021	+	1.76706i
$971$	−5.26948	−	40.0257i	−0.169106	−	1.28449i	−0.839859	−	0.542805i	$-0.817362\pi$
$971$	−5.26948	−	40.0257i	−0.169106	−	1.28449i	0.670753	−	0.741681i	$-0.265971\pi$
$972$	−1.70830	+	2.55665i	−0.0547937	+	0.0820045i
$973$	−17.1459	+	10.4054i	−0.549674	+	0.333582i
$974$	68.4161	−	13.6088i	2.19219	−	0.436054i
$975$	−4.90986	−	2.42128i	−0.157242	−	0.0775429i
$976$	−2.39509	−	2.10044i	−0.0766650	−	0.0672334i
$977$	7.21317	−	54.7894i	0.230770	−	1.75287i	−0.348107	−	0.937455i	$-0.613176\pi$
$977$	7.21317	−	54.7894i	0.230770	−	1.75287i	0.578877	−	0.815415i	$-0.303491\pi$
$978$	8.97524	+	6.88694i	0.286997	+	0.220220i
$979$	−0.990819	−	0.197086i	−0.0316667	−	0.00629890i
$980$	53.1923	−	5.83005i	1.69917	−	0.186234i
$981$	1.22394	+	6.15318i	0.0390775	+	0.196456i
$982$	−78.0693	−	20.9186i	−2.49129	−	0.667540i
$983$	29.5461	−	14.5705i	0.942374	−	0.464727i	0.0948542	−	0.995491i	$-0.469761\pi$
$983$	29.5461	−	14.5705i	0.942374	−	0.464727i	0.847520	+	0.530764i	$0.178095\pi$
$984$	−14.5430	+	11.1593i	−0.463615	+	0.355744i
$985$	−8.31296	−	14.3985i	−0.264873	−	0.458773i
$986$	−16.2119	+	38.8539i	−0.516291	+	1.23736i
$987$	−23.2700	−	5.69309i	−0.740692	−	0.181213i
$988$	−7.99041	+	19.2906i	−0.254209	+	0.613715i
$989$	0.172317	−	2.62904i	0.00547935	−	0.0835987i
$990$	−1.74233	−	6.50245i	−0.0553747	−	0.206661i
$991$	−2.91811	+	8.59647i	−0.0926967	+	0.273076i	−0.983383	−	0.181543i	$-0.941891\pi$
$991$	−2.91811	+	8.59647i	−0.0926967	+	0.273076i	0.890686	+	0.454618i	$0.150224\pi$
$992$	26.7285	−	54.2001i	0.848631	−	1.72085i
$993$	−0.397386	+	1.99779i	−0.0126107	+	0.0633981i
$994$	19.4715	+	24.2589i	0.617599	+	0.769445i
$995$	14.8986	+	35.9684i	0.472318	+	1.14028i
$996$	5.28257	−	1.79319i	0.167385	−	0.0568194i
$997$	−0.765490	−	11.6791i	−0.0242433	−	0.369882i	−0.992693	−	0.120671i	$-0.961495\pi$
$997$	−0.765490	−	11.6791i	−0.0242433	−	0.369882i	0.968449	−	0.249211i	$-0.0801712\pi$
$998$	77.6199	+	26.3484i	2.45701	+	0.834044i
$999$	2.15417	−	8.03946i	0.0681548	−	0.254357i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	357.2.bl.a.10.4	✓	384
7.5	odd	6	inner	357.2.bl.a.61.21	yes	384
17.12	odd	16	inner	357.2.bl.a.199.21	yes	384
119.12	even	48	inner	357.2.bl.a.250.4	yes	384

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
357.2.bl.a.10.4	✓	384	1.1	even	1	trivial
357.2.bl.a.61.21	yes	384	7.5	odd	6	inner
357.2.bl.a.199.21	yes	384	17.12	odd	16	inner
357.2.bl.a.250.4	yes	384	119.12	even	48	inner

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

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	357.2.bl.a.10.4

Level	$357$
Weight	$2$
Character	357.10
Analytic conductor	$2.851$
Analytic rank	$0$
Dimension	$384$
Inner twists	$4$