LMFDB - Embedded newform 350.2.x.a.3.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [350,2,Mod(3,350)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(350, base_ring=CyclotomicField(60))

chi = DirichletCharacter(H, H._module([21, 10]))

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

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

chi := DirichletCharacter("350.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$N$	$=$	$350 = 2 \cdot 5^{2} \cdot 7$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	350.x (of order $60$ , degree $16$ , 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:	$2.79476407074$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$20$ over $\Q(\zeta_{60})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label			3.7
Character	$\chi$	$=$	350.3
Dual form			350.2.x.a.117.7

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.544639 + 0.838671i) q^{2} +(0.375167 - 0.977343i) q^{3} +(-0.406737 - 0.913545i) q^{4} +(1.91741 + 1.15045i) q^{5} +(0.615338 + 0.846940i) q^{6} +(2.64280 + 0.124862i) q^{7} +(0.987688 + 0.156434i) q^{8} +(1.41499 + 1.27406i) q^{9} +(-2.00915 + 0.981495i) q^{10} +(-2.70710 - 3.00654i) q^{11} +(-1.04544 + 0.0547892i) q^{12} +(-3.93711 - 2.00606i) q^{13} +(-1.54409 + 2.14844i) q^{14} +(1.84373 - 1.44236i) q^{15} +(-0.669131 + 0.743145i) q^{16} +(0.339404 - 0.419129i) q^{17} +(-1.83917 + 0.492805i) q^{18} +(5.05007 + 2.24844i) q^{19} +(0.271108 - 2.21957i) q^{20} +(1.11352 - 2.53608i) q^{21} +(3.99589 - 0.632887i) q^{22} +(5.08092 + 3.29959i) q^{23} +(0.523438 - 0.906621i) q^{24} +(2.35292 + 4.41177i) q^{25} +(3.82672 - 2.20936i) q^{26} +(4.57437 - 2.33076i) q^{27} +(-0.960858 - 2.46511i) q^{28} +(-3.41042 + 4.69404i) q^{29} +(0.205492 + 2.33185i) q^{30} +(4.54115 - 0.477294i) q^{31} +(-0.258819 - 0.965926i) q^{32} +(-3.95403 + 1.51781i) q^{33} +(0.166658 + 0.512922i) q^{34} +(4.92369 + 3.27983i) q^{35} +(0.588384 - 1.81086i) q^{36} +(-0.612964 - 11.6961i) q^{37} +(-4.63616 + 3.01076i) q^{38} +(-3.43768 + 3.09530i) q^{39} +(1.71383 + 1.43624i) q^{40} +(-5.21170 + 1.69338i) q^{41} +(1.52047 + 2.31513i) q^{42} +(-5.62101 - 5.62101i) q^{43} +(-1.64553 + 3.69593i) q^{44} +(1.24737 + 4.07077i) q^{45} +(-5.53453 + 2.46413i) q^{46} +(-3.49819 + 2.83278i) q^{47} +(0.475272 + 0.932773i) q^{48} +(6.96882 + 0.659972i) q^{49} +(-4.98152 - 0.429496i) q^{50} +(-0.282299 - 0.488957i) q^{51} +(-0.231258 + 4.41266i) q^{52} +(-6.35885 - 2.44093i) q^{53} +(-0.536642 + 5.10581i) q^{54} +(-1.73174 - 8.87916i) q^{55} +(2.59073 + 0.536750i) q^{56} +(4.09211 - 4.09211i) q^{57} +(-2.07931 - 5.41678i) q^{58} +(-7.03713 - 1.49579i) q^{59} +(-2.06757 - 1.09768i) q^{60} +(2.11804 + 9.96459i) q^{61} +(-2.07300 + 4.06849i) q^{62} +(3.58045 + 3.54377i) q^{63} +(0.951057 + 0.309017i) q^{64} +(-5.24118 - 8.37589i) q^{65} +(0.880577 - 4.14279i) q^{66} +(-3.27907 - 2.65534i) q^{67} +(-0.520941 - 0.139586i) q^{68} +(5.13102 - 3.72790i) q^{69} +(-5.43233 + 2.34303i) q^{70} +(11.9995 + 8.71814i) q^{71} +(1.19826 + 1.47973i) q^{72} +(-11.0300 - 0.578056i) q^{73} +(10.1430 + 5.85605i) q^{74} +(5.19455 - 0.644462i) q^{75} -5.52799i q^{76} +(-6.77893 - 8.28371i) q^{77} +(-0.723642 - 4.56890i) q^{78} +(-11.3875 - 1.19688i) q^{79} +(-2.13795 + 0.655111i) q^{80} +(0.0352852 + 0.335717i) q^{81} +(1.41830 - 5.29319i) q^{82} +(0.0505361 - 0.319072i) q^{83} +(-2.76974 + 0.0142613i) q^{84} +(1.13296 - 0.413174i) q^{85} +(7.77559 - 1.65275i) q^{86} +(3.30821 + 5.09420i) q^{87} +(-2.20344 - 3.39301i) q^{88} +(-17.6734 + 3.75660i) q^{89} +(-4.09340 - 1.17097i) q^{90} +(-10.1545 - 5.79321i) q^{91} +(0.947727 - 5.98371i) q^{92} +(1.23721 - 4.61733i) q^{93} +(-0.470517 - 4.47667i) q^{94} +(7.09634 + 10.1210i) q^{95} +(-1.04114 - 0.109428i) q^{96} +(-0.275934 - 1.74218i) q^{97} +(-4.34899 + 5.48510i) q^{98} -7.70322i q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100})$ 320 * q + 12 * q^5 - 8 * q^7 + 12 * q^10 - 16 * q^15 - 40 * q^16 + 36 * q^17 + 8 * q^18 - 72 * q^22 + 44 * q^23 - 12 * q^25 - 24 * q^28 - 80 * q^29 + 20 * q^30 - 48 * q^33 - 28 * q^35 + 80 * q^36 - 4 * q^37 - 24 * q^38 - 40 * q^39 - 36 * q^42 + 88 * q^43 - 228 * q^45 - 12 * q^47 + 32 * q^50 - 52 * q^53 + 152 * q^57 + 32 * q^58 - 120 * q^59 - 8 * q^60 + 136 * q^63 + 8 * q^65 - 32 * q^67 - 144 * q^68 + 92 * q^70 + 8 * q^72 + 12 * q^73 - 432 * q^75 + 144 * q^77 - 16 * q^78 + 12 * q^80 - 40 * q^81 - 192 * q^82 + 60 * q^84 - 24 * q^85 + 24 * q^87 + 4 * q^88 - 300 * q^89 - 8 * q^92 - 68 * q^93 + 20 * q^95 - 40 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/350\mathbb{Z}\right)^\times$ .

$n$	$101$	$127$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{7}{20}\right)$

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

)

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

$2$	−0.544639	+	0.838671i	−0.385118	+	0.593030i
$2$	−0.544639	+	0.838671i	−0.385118	+	0.593030i
$3$	0.375167	−	0.977343i	0.216603	−	0.564269i	−0.781627	−	0.623746i	$-0.785610\pi$
$3$	0.375167	−	0.977343i	0.216603	−	0.564269i	0.998230	+	0.0594770i	$0.0189433\pi$
$4$	−0.406737	−	0.913545i	−0.203368	−	0.456773i
$5$	1.91741	+	1.15045i	0.857492	+	0.514497i
$5$	1.91741	+	1.15045i	0.857492	+	0.514497i
$6$	0.615338	+	0.846940i	0.251211	+	0.345762i
$7$	2.64280	+	0.124862i	0.998886	+	0.0471934i
$7$	2.64280	+	0.124862i	0.998886	+	0.0471934i
$8$	0.987688	+	0.156434i	0.349201	+	0.0553079i
$9$	1.41499	+	1.27406i	0.471662	+	0.424686i
$10$	−2.00915	+	0.981495i	−0.635348	+	0.310376i
$11$	−2.70710	−	3.00654i	−0.816221	−	0.906506i	0.180809	−	0.983518i	$-0.442128\pi$
$11$	−2.70710	−	3.00654i	−0.816221	−	0.906506i	−0.997030	+	0.0770126i	$0.975462\pi$
$12$	−1.04544	+	0.0547892i	−0.301793	+	0.0158163i
$13$	−3.93711	−	2.00606i	−1.09196	−	0.556380i	−0.187206	−	0.982321i	$-0.559943\pi$
$13$	−3.93711	−	2.00606i	−1.09196	−	0.556380i	−0.904751	+	0.425941i	$0.859943\pi$
$14$	−1.54409	+	2.14844i	−0.412676	+	0.574194i
$15$	1.84373	−	1.44236i	0.476050	−	0.372415i
$16$	−0.669131	+	0.743145i	−0.167283	+	0.185786i
$17$	0.339404	−	0.419129i	0.0823175	−	0.101654i	−0.734323	−	0.678800i	$-0.762500\pi$
$17$	0.339404	−	0.419129i	0.0823175	−	0.101654i	0.816641	+	0.577146i	$0.195834\pi$
$18$	−1.83917	+	0.492805i	−0.433497	+	0.116155i
$19$	5.05007	+	2.24844i	1.15857	+	0.515827i	0.893791	−	0.448484i	$-0.148036\pi$
$19$	5.05007	+	2.24844i	1.15857	+	0.515827i	0.264774	+	0.964310i	$0.414702\pi$
$20$	0.271108	−	2.21957i	0.0606217	−	0.496311i
$21$	1.11352	−	2.53608i	0.242991	−	0.553418i
$22$	3.99589	−	0.632887i	0.851926	−	0.134932i
$23$	5.08092	+	3.29959i	1.05944	+	0.688011i	0.951968	−	0.306196i	$-0.0990565\pi$
$23$	5.08092	+	3.29959i	1.05944	+	0.688011i	0.107476	+	0.994208i	$0.465723\pi$
$24$	0.523438	−	0.906621i	0.106846	−	0.185063i
$25$	2.35292	+	4.41177i	0.470585	+	0.882355i
$26$	3.82672	−	2.20936i	0.750482	−	0.433291i
$27$	4.57437	−	2.33076i	0.880337	−	0.448554i
$28$	−0.960858	−	2.46511i	−0.181585	−	0.465861i
$29$	−3.41042	+	4.69404i	−0.633299	+	0.871661i	−0.998236	−	0.0593708i	$-0.981091\pi$
$29$	−3.41042	+	4.69404i	−0.633299	+	0.871661i	0.364937	+	0.931032i	$0.381091\pi$
$30$	0.205492	+	2.33185i	0.0375176	+	0.425735i
$31$	4.54115	−	0.477294i	0.815615	−	0.0857246i	0.312471	−	0.949927i	$-0.398843\pi$
$31$	4.54115	−	0.477294i	0.815615	−	0.0857246i	0.503144	+	0.864203i	$0.332177\pi$
$32$	−0.258819	−	0.965926i	−0.0457532	−	0.170753i
$33$	−3.95403	+	1.51781i	−0.688309	+	0.264217i
$34$	0.166658	+	0.512922i	0.0285817	+	0.0879653i
$35$	4.92369	+	3.27983i	0.832256	+	0.554392i
$36$	0.588384	−	1.81086i	0.0980640	−	0.301810i
$37$	−0.612964	−	11.6961i	−0.100771	−	1.92282i	−0.320481	−	0.947255i	$-0.603844\pi$
$37$	−0.612964	−	11.6961i	−0.100771	−	1.92282i	0.219710	−	0.975565i	$-0.429489\pi$
$38$	−4.63616	+	3.01076i	−0.752085	+	0.488410i
$39$	−3.43768	+	3.09530i	−0.550469	+	0.495644i
$40$	1.71383	+	1.43624i	0.270981	+	0.227089i
$41$	−5.21170	+	1.69338i	−0.813931	+	0.264462i	−0.686262	−	0.727355i	$-0.740750\pi$
$41$	−5.21170	+	1.69338i	−0.813931	+	0.264462i	−0.127669	+	0.991817i	$0.540750\pi$
$42$	1.52047	+	2.31513i	0.234613	+	0.357232i
$43$	−5.62101	−	5.62101i	−0.857196	−	0.857196i	0.133811	−	0.991007i	$-0.457278\pi$
$43$	−5.62101	−	5.62101i	−0.857196	−	0.857196i	−0.991007	+	0.133811i	$0.957278\pi$
$44$	−1.64553	+	3.69593i	−0.248073	+	0.557182i
$45$	1.24737	+	4.07077i	0.185946	+	0.606834i
$46$	−5.53453	+	2.46413i	−0.816022	+	0.363316i
$47$	−3.49819	+	2.83278i	−0.510263	+	0.413203i	−0.849573	−	0.527472i	$-0.823140\pi$
$47$	−3.49819	+	2.83278i	−0.510263	+	0.413203i	0.339309	+	0.940675i	$0.389807\pi$
$48$	0.475272	+	0.932773i	0.0685995	+	0.134634i
$49$	6.96882	+	0.659972i	0.995546	+	0.0942817i
$50$	−4.98152	−	0.429496i	−0.704493	−	0.0607399i
$51$	−0.282299	−	0.488957i	−0.0395298	−	0.0684676i
$52$	−0.231258	+	4.41266i	−0.0320697	+	0.611926i
$53$	−6.35885	−	2.44093i	−0.873455	−	0.335288i	−0.119990	−	0.992775i	$-0.538286\pi$
$53$	−6.35885	−	2.44093i	−0.873455	−	0.335288i	−0.753466	+	0.657487i	$0.771619\pi$
$54$	−0.536642	+	5.10581i	−0.0730277	+	0.694812i
$55$	−1.73174	−	8.87916i	−0.233508	−	1.19727i
$56$	2.59073	+	0.536750i	0.346201	+	0.0717263i
$57$	4.09211	−	4.09211i	0.542013	−	0.542013i
$58$	−2.07931	−	5.41678i	−0.273026	−	0.711258i
$59$	−7.03713	−	1.49579i	−0.916156	−	0.194735i	−0.274375	−	0.961623i	$-0.588471\pi$
$59$	−7.03713	−	1.49579i	−0.916156	−	0.194735i	−0.641781	+	0.766888i	$0.721804\pi$
$60$	−2.06757	−	1.09768i	−0.266922	−	0.141709i
$61$	2.11804	+	9.96459i	0.271187	+	1.27584i	0.877101	+	0.480305i	$0.159474\pi$
$61$	2.11804	+	9.96459i	0.271187	+	1.27584i	−0.605914	+	0.795530i	$0.707193\pi$
$62$	−2.07300	+	4.06849i	−0.263271	+	0.516698i
$63$	3.58045	+	3.54377i	0.451094	+	0.446472i
$64$	0.951057	+	0.309017i	0.118882	+	0.0386271i
$65$	−5.24118	−	8.37589i	−0.650089	−	1.03890i
$66$	0.880577	−	4.14279i	0.108392	−	0.509942i
$67$	−3.27907	−	2.65534i	−0.400603	−	0.324402i	0.407757	−	0.913090i	$-0.366311\pi$
$67$	−3.27907	−	2.65534i	−0.400603	−	0.324402i	−0.808360	+	0.588689i	$0.799644\pi$
$68$	−0.520941	−	0.139586i	−0.0631734	−	0.0169273i
$69$	5.13102	−	3.72790i	0.617702	−	0.448787i
$70$	−5.43233	+	2.34303i	−0.649288	+	0.280046i
$71$	11.9995	+	8.71814i	1.42408	+	1.03465i	0.991081	+	0.133258i	$0.0425438\pi$
$71$	11.9995	+	8.71814i	1.42408	+	1.03465i	0.432997	+	0.901395i	$0.357456\pi$
$72$	1.19826	+	1.47973i	0.141216	+	0.174387i
$73$	−11.0300	−	0.578056i	−1.29096	−	0.0676563i	−0.605546	−	0.795810i	$-0.707045\pi$
$73$	−11.0300	−	0.578056i	−1.29096	−	0.0676563i	−0.685413	+	0.728154i	$0.740378\pi$
$74$	10.1430	+	5.85605i	1.17910	+	0.680753i
$75$	5.19455	−	0.644462i	0.599815	−	0.0744161i
$76$		−	5.52799i		−	0.634104i
$77$	−6.77893	−	8.28371i	−0.772531	−	0.944016i
$78$	−0.723642	−	4.56890i	−0.0819364	−	0.517326i
$79$	−11.3875	−	1.19688i	−1.28120	−	0.134659i	−0.560642	−	0.828058i	$-0.689446\pi$
$79$	−11.3875	−	1.19688i	−1.28120	−	0.134659i	−0.720554	+	0.693399i	$0.756112\pi$
$80$	−2.13795	+	0.655111i	−0.239030	+	0.0732437i
$81$	0.0352852	+	0.335717i	0.00392058	+	0.0373018i
$82$	1.41830	−	5.29319i	0.156626	−	0.584535i
$83$	0.0505361	−	0.319072i	0.00554705	−	0.0350227i	−0.984760	−	0.173921i	$-0.944356\pi$
$83$	0.0505361	−	0.319072i	0.00554705	−	0.0350227i	0.990307	+	0.138899i	$0.0443562\pi$
$84$	−2.76974	+	0.0142613i	−0.302203	+	0.00155603i
$85$	1.13296	−	0.413174i	0.122887	−	0.0448150i
$86$	7.77559	−	1.65275i	0.838464	−	0.178221i
$87$	3.30821	+	5.09420i	0.354677	+	0.546155i
$88$	−2.20344	−	3.39301i	−0.234888	−	0.361696i
$89$	−17.6734	+	3.75660i	−1.87338	+	0.398198i	−0.996578	−	0.0826605i	$-0.973658\pi$
$89$	−17.6734	+	3.75660i	−1.87338	+	0.398198i	−0.876798	+	0.480859i	$0.840325\pi$
$90$	−4.09340	−	1.17097i	−0.431482	−	0.123431i
$91$	−10.1545	−	5.79321i	−1.06448	−	0.607293i
$92$	0.947727	−	5.98371i	0.0988073	−	0.623845i
$93$	1.23721	−	4.61733i	0.128293	−	0.478795i
$94$	−0.470517	−	4.47667i	−0.0485301	−	0.461733i
$95$	7.09634	+	10.1210i	0.728069	+	1.03840i
$96$	−1.04114	−	0.109428i	−0.106261	−	0.0111685i
$97$	−0.275934	−	1.74218i	−0.0280168	−	0.176891i	0.969712	−	0.244252i	$-0.0785423\pi$
$97$	−0.275934	−	1.74218i	−0.0280168	−	0.176891i	−0.997729	+	0.0673604i	$0.978542\pi$
$98$	−4.34899	+	5.48510i	−0.439314	+	0.554078i
$99$		−	7.70322i		−	0.774202i
$100$	3.07334	−	3.94393i	0.307334	−	0.394393i
$101$	1.80570	+	1.04252i	0.179674	+	0.103735i	0.587140	−	0.809486i	$-0.300254\pi$
$101$	1.80570	+	1.04252i	0.179674	+	0.103735i	−0.407465	+	0.913221i	$0.633587\pi$
$102$	0.563825	+	0.0295488i	0.0558270	+	0.00292577i
$103$	−0.182811	−	0.225753i	−0.0180129	−	0.0222441i	0.768060	−	0.640378i	$-0.221222\pi$
$103$	−0.182811	−	0.225753i	−0.0180129	−	0.0222441i	−0.786073	+	0.618134i	$0.787889\pi$
$104$	−3.57482	−	2.59726i	−0.350540	−	0.254682i
$105$	5.05272	−	3.58165i	0.493095	−	0.349533i
$106$	5.51042	−	4.00355i	0.535219	−	0.388859i
$107$	1.72925	+	0.463350i	0.167172	+	0.0447937i	0.341434	−	0.939906i	$-0.389087\pi$
$107$	1.72925	+	0.463350i	0.167172	+	0.0447937i	−0.174262	+	0.984699i	$0.555754\pi$
$108$	−3.98981	−	3.23089i	−0.383920	−	0.310892i
$109$	1.68371	−	7.92122i	0.161270	−	0.758716i	−0.820953	−	0.570996i	$-0.806557\pi$
$109$	1.68371	−	7.92122i	0.161270	−	0.758716i	0.982223	−	0.187719i	$-0.0601096\pi$
$110$	8.38986	+	3.38357i	0.799942	+	0.322611i
$111$	−11.6610	−	3.78890i	−1.10682	−	0.359626i
$112$	−1.86117	+	1.88044i	−0.175864	+	0.177685i
$113$	4.39008	−	8.61601i	0.412984	−	0.810526i	−0.587016	−	0.809576i	$-0.699697\pi$
$113$	4.39008	−	8.61601i	0.412984	−	0.810526i	1.00000		0.000950921i	$-0.000302688\pi$
$114$	1.20321	+	5.66065i	0.112691	+	0.530169i
$115$	5.94619	+	12.1720i	0.554485	+	1.13505i
$116$	5.67536	+	1.20634i	0.526944	+	0.112005i
$117$	−3.01512	−	7.85465i	−0.278748	−	0.726163i
$118$	5.08717	−	5.08717i	0.468312	−	0.468312i
$119$	0.949310	−	1.06530i	0.0870231	−	0.0976555i
$120$	2.04667	−	1.13617i	0.186834	−	0.103718i
$121$	−0.561074	+	5.33826i	−0.0510067	+	0.485297i
$122$	−9.51058	−	3.65077i	−0.861047	−	0.330525i
$123$	−0.300240	+	5.72892i	−0.0270717	+	0.516559i
$124$	−2.28308	−	3.95442i	−0.205027	−	0.355117i
$125$	−0.564010	+	11.1661i	−0.0504466	+	0.998727i
$126$	−4.92210	+	1.07274i	−0.438496	+	0.0955676i
$127$	−4.73260	−	9.28825i	−0.419950	−	0.824199i	−0.999954	−	0.00958503i	$-0.996949\pi$
$127$	−4.73260	−	9.28825i	−0.419950	−	0.824199i	0.580004	−	0.814614i	$-0.303051\pi$
$128$	−0.777146	+	0.629320i	−0.0686906	+	0.0556246i
$129$	−7.60246	+	3.38484i	−0.669360	+	0.298018i
$130$	9.87916	+	0.166210i	0.866460	+	0.0145775i
$131$	−1.62314	+	3.64562i	−0.141814	+	0.318519i	−0.970463	−	0.241249i	$-0.922443\pi$
$131$	−1.62314	+	3.64562i	−0.141814	+	0.318519i	0.828649	+	0.559768i	$0.189110\pi$
$132$	2.99484	+	2.99484i	0.260667	+	0.260667i
$133$	13.0656	+	6.57274i	1.13293	+	0.569928i
$134$	4.01287	−	1.30386i	0.346659	−	0.112636i
$135$	11.4524	+	0.793570i	0.985662	+	0.0682996i
$136$	0.400791	−	0.360874i	0.0343676	−	0.0309447i
$137$	−4.61190	+	2.99500i	−0.394021	+	0.255880i	−0.726409	−	0.687262i	$-0.758812\pi$
$137$	−4.61190	+	2.99500i	−0.394021	+	0.255880i	0.332388	+	0.943143i	$0.392146\pi$
$138$	0.331930	+	6.33359i	0.0282557	+	0.539151i
$139$	−2.45482	+	7.55516i	−0.208215	+	0.640821i	0.791351	+	0.611362i	$0.209378\pi$
$139$	−2.45482	+	7.55516i	−0.208215	+	0.640821i	−0.999566	+	0.0294583i	$0.990622\pi$
$140$	0.993627	−	5.83204i	0.0839768	−	0.492897i
$141$	1.45619	+	4.48169i	0.122633	+	0.377427i
$142$	−13.8470	+	5.31538i	−1.16202	+	0.446057i
$143$	4.62686	+	17.2677i	0.386917	+	1.44399i
$144$	−1.89362	+	0.199028i	−0.157802	+	0.0165856i
$145$	−11.9394	+	5.07688i	−0.991516	+	0.421612i
$146$	6.49215	−	8.93567i	0.537294	−	0.739521i
$147$	3.25949	−	6.56332i	0.268838	−	0.541334i
$148$	−10.4356	+	5.31719i	−0.857798	+	0.437070i
$149$	−8.59141	+	4.96025i	−0.703835	+	0.406360i	−0.808774	−	0.588119i	$-0.799869\pi$
$149$	−8.59141	+	4.96025i	−0.703835	+	0.406360i	0.104939	+	0.994479i	$0.466535\pi$
$150$	−2.28866	+	4.70752i	−0.186869	+	0.384367i
$151$	10.0768	−	17.4536i	0.820041	−	1.42035i	−0.0856094	−	0.996329i	$-0.527284\pi$
$151$	10.0768	−	17.4536i	0.820041	−	1.42035i	0.905651	−	0.424024i	$-0.139383\pi$
$152$	4.63616	+	3.01076i	0.376042	+	0.244205i
$153$	1.01425	−	0.160641i	0.0819969	−	0.0129870i
$154$	10.6394	−	1.17366i	0.857345	−	0.0945762i
$155$	9.25636	+	4.30921i	0.743489	+	0.346124i
$156$	4.22592	+	1.88150i	0.338345	+	0.150641i
$157$	−6.43298	+	1.72371i	−0.513407	+	0.137567i	−0.506216	−	0.862407i	$-0.668956\pi$
$157$	−6.43298	+	1.72371i	−0.513407	+	0.137567i	−0.00719199	+	0.999974i	$0.502289\pi$
$158$	7.20588	−	8.89851i	0.573269	−	0.707928i
$159$	−4.77126	+	5.29902i	−0.378385	+	0.420240i
$160$	0.614988	−	2.14983i	0.0486191	−	0.169959i
$161$	13.0159	+	9.35457i	1.02579	+	0.737243i
$162$	−0.300773	−	0.153252i	−0.0236310	−	0.0120406i
$163$	−2.86486	+	0.150141i	−0.224393	+	0.0117599i	−0.164201	−	0.986427i	$-0.552505\pi$
$163$	−2.86486	+	0.150141i	−0.224393	+	0.0117599i	−0.0601919	+	0.998187i	$0.519171\pi$
$164$	3.66677	+	4.07237i	0.286327	+	0.317998i
$165$	−9.32767	−	1.63866i	−0.726158	−	0.127569i
$166$	0.240073	+	0.216162i	0.0186332	+	0.0167774i
$167$	−0.911187	−	0.144318i	−0.0705098	−	0.0111677i	0.121080	−	0.992643i	$-0.461364\pi$
$167$	−0.911187	−	0.144318i	−0.0705098	−	0.0111677i	−0.191590	+	0.981475i	$0.561364\pi$
$168$	1.49655	−	2.33066i	0.115461	−	0.179815i
$169$	3.83535	+	5.27891i	0.295027	+	0.406070i
$170$	−0.270539	+	1.17521i	−0.0207494	+	0.0901348i
$171$	4.28114	+	9.61559i	0.327387	+	0.735323i
$172$	−2.84878	+	7.42131i	−0.217217	+	0.565870i
$173$	−10.9934	+	16.9283i	−0.835811	+	1.28704i	0.119917	+	0.992784i	$0.461737\pi$
$173$	−10.9934	+	16.9283i	−0.835811	+	1.28704i	−0.955728	+	0.294252i	$0.904929\pi$
$174$	−6.07413			−0.460479
$175$	5.66745	+	11.9532i	0.428419	+	0.903580i
$176$	4.04570			0.304956
$177$	−4.10199	+	6.31652i	−0.308325	+	0.474779i
$178$	6.47507	−	16.8681i	0.485327	−	1.26432i
$179$	6.39671	+	14.3672i	0.478112	+	1.07386i	0.978159	+	0.207859i	$0.0666496\pi$
$179$	6.39671	+	14.3672i	0.478112	+	1.07386i	−0.500046	+	0.865999i	$0.666684\pi$
$180$	3.21148	−	2.79526i	0.239370	−	0.208346i
$181$	−8.16798	−	11.2423i	−0.607121	−	0.835631i	0.389215	−	0.921147i	$-0.372746\pi$
$181$	−8.16798	−	11.2423i	−0.607121	−	0.835631i	−0.996337	+	0.0855158i	$0.972746\pi$
$182$	10.3891	−	5.36109i	0.770095	−	0.397391i
$183$	10.5334	+	1.66833i	0.778654	+	0.123327i
$184$	4.50219	+	4.05379i	0.331906	+	0.298850i
$185$	12.2804	−	23.1313i	0.902876	−	1.70065i
$186$	3.19858	+	3.55239i	0.234532	+	0.260474i
$187$	−2.17893	+	0.114193i	−0.159339	+	0.00835059i
$188$	4.01071	+	2.04356i	0.292511	+	0.149042i
$189$	12.3802	−	5.58857i	0.900525	−	0.406508i
$190$	−12.3532	+	0.439181i	−0.896192	+	0.0318616i
$191$	8.95816	−	9.94904i	0.648190	−	0.719887i	−0.326063	−	0.945348i	$-0.605722\pi$
$191$	8.95816	−	9.94904i	0.648190	−	0.719887i	0.974252	+	0.225461i	$0.0723887\pi$
$192$	0.658820	−	0.813575i	0.0475463	−	0.0587147i
$193$	2.01298	−	0.539376i	0.144897	−	0.0388251i	−0.185641	−	0.982618i	$-0.559436\pi$
$193$	2.01298	−	0.539376i	0.144897	−	0.0388251i	0.330539	+	0.943792i	$0.392770\pi$
$194$	1.61140	+	0.717440i	0.115691	+	0.0515092i
$195$	−10.1524	+	1.98008i	−0.727030	+	0.141796i
$196$	−2.23156	−	6.63477i	−0.159397	−	0.473912i
$197$	20.3161	−	3.21775i	1.44746	−	0.229255i	0.617276	−	0.786746i	$-0.288236\pi$
$197$	20.3161	−	3.21775i	1.44746	−	0.229255i	0.830183	+	0.557491i	$0.188236\pi$
$198$	6.46046	+	4.19547i	0.459125	+	0.298159i
$199$	2.07479	−	3.59364i	0.147078	−	0.254747i	−0.783068	−	0.621936i	$-0.786346\pi$
$199$	2.07479	−	3.59364i	0.147078	−	0.254747i	0.930146	+	0.367189i	$0.119680\pi$
$200$	1.63380	+	4.72554i	0.115527	+	0.334146i
$201$	−3.82538	+	2.20858i	−0.269821	+	0.155781i
$202$	−1.85779	+	0.946592i	−0.130714	+	0.0666020i
$203$	−9.59918	+	11.9796i	−0.673730	+	0.840803i
$204$	−0.331863	+	0.456770i	−0.0232350	+	0.0319803i
$205$	−11.9411	−	2.74890i	−0.834005	−	0.191991i
$206$	0.288899	−	0.0303645i	0.0201285	−	0.00211559i
$207$	2.98556	+	11.1423i	0.207511	+	0.774440i
$208$	4.12523	−	1.58353i	0.286033	−	0.109798i
$209$	−6.91103	−	21.2700i	−0.478046	−	1.47127i
$210$	0.251916	+	6.18827i	0.0173839	+	0.427032i
$211$	3.65164	−	11.2386i	0.251389	−	0.773696i	−0.743131	−	0.669146i	$-0.766660\pi$
$211$	3.65164	−	11.2386i	0.251389	−	0.773696i	0.994520	−	0.104549i	$-0.0333400\pi$
$212$	0.356473	+	6.80192i	0.0244827	+	0.467158i
$213$	13.0224	−	8.45686i	0.892282	−	0.579455i
$214$	−1.33041	+	1.19791i	−0.0909451	+	0.0818873i
$215$	−4.31108	−	17.2445i	−0.294013	−	1.17606i
$216$	4.88266	−	1.58647i	0.332223	−	0.107946i
$217$	12.0610	−	0.694378i	0.818752	−	0.0471374i
$218$	5.72628	+	5.72628i	0.387833	+	0.387833i
$219$	−4.70303	+	10.5632i	−0.317801	+	0.713794i
$220$	−7.40715	+	5.19351i	−0.499390	+	0.350146i
$221$	−2.17706	+	0.969292i	−0.146445	+	0.0652016i
$222$	9.52868	−	7.71617i	0.639523	−	0.517876i
$223$	8.81614	+	17.3027i	0.590373	+	1.15867i	0.972137	+	0.234412i	$0.0753165\pi$
$223$	8.81614	+	17.3027i	0.590373	+	1.15867i	−0.381765	+	0.924260i	$0.624683\pi$
$224$	−0.563400	−	2.58507i	−0.0376438	−	0.172722i
$225$	−2.29151	+	9.24036i	−0.152767	+	0.616024i
$226$	4.83499	+	8.37445i	0.321619	+	0.557060i
$227$	0.172463	−	3.29079i	0.0114468	−	0.218417i	−0.986917	−	0.161231i	$-0.948454\pi$
$227$	0.172463	−	3.29079i	0.0114468	−	0.218417i	0.998364	−	0.0571865i	$-0.0182130\pi$
$228$	−5.40274	−	2.07392i	−0.357805	−	0.137349i
$229$	1.19870	−	11.4049i	0.0792123	−	0.753655i	−0.880761	−	0.473562i	$-0.842968\pi$
$229$	1.19870	−	11.4049i	0.0792123	−	0.753655i	0.959973	−	0.280093i	$-0.0903653\pi$
$230$	−13.4468	−	1.64246i	−0.886658	−	0.108300i
$231$	−10.6392	+	3.51757i	−0.700011	+	0.231439i
$232$	−4.10274	+	4.10274i	−0.269358	+	0.269358i
$233$	−2.28976	−	5.96502i	−0.150007	−	0.390782i	0.837901	−	0.545822i	$-0.183783\pi$
$233$	−2.28976	−	5.96502i	−0.150007	−	0.390782i	−0.987908	+	0.155040i	$0.950449\pi$
$234$	8.22962	+	1.74926i	0.537987	+	0.114353i
$235$	−9.96644	+	1.40710i	−0.650139	+	0.0917891i
$236$	1.49579	+	7.03713i	0.0973675	+	0.458078i
$237$	−5.44198	+	10.6805i	−0.353494	+	0.693772i
$238$	0.376401	+	1.37636i	0.0243984	+	0.0892162i
$239$	−2.66259	−	0.865128i	−0.172229	−	0.0559605i	0.221633	−	0.975130i	$-0.428861\pi$
$239$	−2.66259	−	0.865128i	−0.172229	−	0.0559605i	−0.393862	+	0.919170i	$0.628861\pi$
$240$	−0.161819	+	2.33529i	−0.0104454	+	0.150742i
$241$	−1.75551	+	8.25904i	−0.113083	+	0.532011i	0.884742	+	0.466082i	$0.154335\pi$
$241$	−1.75551	+	8.25904i	−0.113083	+	0.532011i	−0.997824	+	0.0659298i	$0.978999\pi$
$242$	−4.17146	−	3.37798i	−0.268152	−	0.217145i
$243$	15.2183	+	4.07774i	0.976257	+	0.261587i
$244$	8.24162	−	5.98789i	0.527616	−	0.383335i
$245$	12.6028	+	9.28272i	0.805165	+	0.593051i
$246$	−4.64115	−	3.37200i	−0.295909	−	0.214991i
$247$	−15.3722	−	18.9831i	−0.978108	−	1.20786i
$248$	4.55991	+	0.238975i	0.289555	+	0.0151749i
$249$	−0.292883	−	0.169096i	−0.0185607	−	0.0107160i
$250$	−9.05750	−	6.55452i	−0.572847	−	0.414544i
$251$			16.6688i			1.05212i	0.850447	+	0.526061i	$0.176332\pi$
$251$			16.6688i			1.05212i	−0.850447	+	0.526061i	$0.823668\pi$
$252$	1.78109	−	4.71228i	0.112198	−	0.296846i
$253$	−3.83422	−	24.2083i	−0.241055	−	1.52196i
$254$	10.3673	+	1.08965i	0.650505	+	0.0683708i
$255$	0.0212373	−	1.26230i	0.00132993	−	0.0790484i
$256$	−0.104528	−	0.994522i	−0.00653303	−	0.0621576i
$257$	3.02563	−	11.2918i	0.188734	−	0.704365i	−0.805066	−	0.593185i	$-0.797870\pi$
$257$	3.02563	−	11.2918i	0.188734	−	0.704365i	0.993800	−	0.111180i	$-0.0354630\pi$
$258$	1.30184	−	8.21948i	0.0810488	−	0.511722i
$259$	−0.159551	−	30.9869i	−0.00991400	−	1.92543i
$260$	−5.51997	+	8.19484i	−0.342334	+	0.508222i
$261$	−10.8062	+	2.29692i	−0.668886	+	0.142176i
$262$	−2.17345	−	3.34682i	−0.134276	−	0.206767i
$263$	−10.4065	−	16.0246i	−0.641691	−	0.988118i	−0.998543	−	0.0539571i	$-0.982817\pi$
$263$	−10.4065	−	16.0246i	−0.641691	−	0.988118i	0.356852	−	0.934161i	$-0.383850\pi$
$264$	−4.14279	+	0.880577i	−0.254971	+	0.0541958i
$265$	−9.38435	−	11.9958i	−0.576476	−	0.736897i
$266$	−12.6284	+	7.37796i	−0.774296	+	0.452372i
$267$	−2.95899	+	18.6823i	−0.181087	+	1.14334i
$268$	−1.09206	+	4.07561i	−0.0667079	+	0.248957i
$269$	−0.708232	−	6.73838i	−0.0431817	−	0.410846i	−0.994666	−	0.103149i	$-0.967108\pi$
$269$	−0.708232	−	6.73838i	−0.0431817	−	0.410846i	0.951484	−	0.307697i	$-0.0995584\pi$
$270$	−6.90295	+	9.17255i	−0.420100	+	0.558223i
$271$	−5.13591	−	0.539806i	−0.311985	−	0.0327909i	−0.0527577	−	0.998607i	$-0.516801\pi$
$271$	−5.13591	−	0.539806i	−0.311985	−	0.0327909i	−0.259227	+	0.965816i	$0.583468\pi$
$272$	0.0843679	+	0.532678i	0.00511555	+	0.0322983i
$273$	−9.47159	+	7.75103i	−0.573247	+	0.469114i
$274$		−	5.49906i		−	0.332210i
$275$	6.89457	−	19.0173i	0.415758	−	1.14678i
$276$	−5.49258	−	3.17114i	−0.330614	−	0.190880i
$277$	25.9498	+	1.35997i	1.55917	+	0.0817128i	0.812295	−	0.583247i	$-0.198218\pi$
$277$	25.9498	+	1.35997i	1.55917	+	0.0817128i	0.746879	+	0.664960i	$0.231551\pi$
$278$	−4.99930	−	6.17362i	−0.299838	−	0.370269i
$279$	7.03377	+	5.11033i	0.421101	+	0.305948i
$280$	4.34999	+	4.00968i	0.259962	+	0.239624i
$281$	−10.6245	+	7.71912i	−0.633802	+	0.460484i	−0.857715	−	0.514125i	$-0.828117\pi$
$281$	−10.6245	+	7.71912i	−0.633802	+	0.460484i	0.223913	+	0.974609i	$0.428117\pi$
$282$	−4.55176	−	1.21964i	−0.271053	−	0.0726286i
$283$	0.468517	+	0.379397i	0.0278504	+	0.0225528i	0.643145	−	0.765745i	$-0.277629\pi$
$283$	0.468517	+	0.379397i	0.0278504	+	0.0225528i	−0.615294	+	0.788298i	$0.710963\pi$
$284$	3.08379	−	14.5081i	0.182989	−	0.860896i
$285$	12.5540	−	3.13848i	0.743636	−	0.185908i
$286$	−17.0019	−	5.52424i	−1.00534	−	0.326655i
$287$	−13.9849	+	3.82454i	−0.825505	+	0.225755i
$288$	0.864421	−	1.69652i	0.0509365	−	0.0999685i
$289$	3.47402	+	16.3440i	0.204354	+	0.961412i
$290$	2.24486	−	12.7783i	0.131822	−	0.750369i
$291$	−1.80622	−	0.383925i	−0.105883	−	0.0225061i
$292$	3.95821	+	10.3115i	0.231637	+	0.603434i
$293$	−6.70588	+	6.70588i	−0.391762	+	0.391762i	−0.875315	−	0.483553i	$-0.839346\pi$
$293$	−6.70588	+	6.70588i	−0.391762	+	0.391762i	0.483553	+	0.875315i	$0.339346\pi$
$294$	3.72922	+	6.30828i	0.217493	+	0.367906i
$295$	−11.7722	−	10.9639i	−0.685406	−	0.638344i
$296$	1.22425	−	11.6479i	0.0711580	−	0.677023i
$297$	−19.3908	−	7.44342i	−1.12517	−	0.431911i
$298$	0.519199	−	9.90691i	0.0300764	−	0.573892i
$299$	−13.3850	−	23.1834i	−0.774072	−	1.34073i
$300$	−2.70156	−	4.48333i	−0.155975	−	0.258845i
$301$	−14.1534	−	15.5571i	−0.815786	−	0.896694i
$302$	9.14958	+	17.9571i	0.526499	+	1.03331i
$303$	1.69634	−	1.37367i	0.0974523	−	0.0789154i
$304$	−5.05007	+	2.24844i	−0.289641	+	0.128957i
$305$	−7.40263	+	21.5429i	−0.423873	+	1.23354i
$306$	−0.417673	+	0.938109i	−0.0238768	+	0.0536281i
$307$	18.5616	+	18.5616i	1.05937	+	1.05937i	0.998123	+	0.0612434i	$0.0195066\pi$
$307$	18.5616	+	18.5616i	1.05937	+	1.05937i	0.0612434	+	0.998123i	$0.480493\pi$
$308$	−4.81030	+	9.56215i	−0.274092	+	0.544854i
$309$	−0.289223	+	0.0939742i	−0.0164533	+	0.00534601i
$310$	−8.65538	+	5.41607i	−0.491592	+	0.307612i
$311$	15.0953	−	13.5918i	0.855973	−	0.770722i	−0.119035	−	0.992890i	$-0.537980\pi$
$311$	15.0953	−	13.5918i	0.855973	−	0.770722i	0.975008	+	0.222168i	$0.0713135\pi$
$312$	−3.87956	+	2.51942i	−0.219637	+	0.142634i
$313$	1.71634	+	32.7497i	0.0970133	+	1.85112i	0.423467	+	0.905911i	$0.360813\pi$
$313$	1.71634	+	32.7497i	0.0970133	+	1.85112i	−0.326454	+	0.945213i	$0.605854\pi$
$314$	2.05802	−	6.33395i	0.116141	−	0.357445i
$315$	2.78826	+	10.9140i	0.157101	+	0.614933i
$316$	3.53832	+	10.8898i	0.199046	+	0.612601i
$317$	−4.26958	+	1.63894i	−0.239803	+	0.0920519i	−0.475302	−	0.879823i	$-0.657661\pi$
$317$	−4.26958	+	1.63894i	−0.239803	+	0.0920519i	0.235498	+	0.971875i	$0.424328\pi$
$318$	−1.84552	−	6.88757i	−0.103491	−	0.386236i
$319$	23.3452	−	2.45368i	1.30708	−	0.137379i
$320$	1.46806	+	1.68666i	0.0820669	+	0.0942870i
$321$	1.10161	−	1.51623i	0.0614857	−	0.0846278i
$322$	−14.9344	+	5.82116i	−0.832259	+	0.324401i
$323$	2.65640	−	1.35350i	0.147806	−	0.0753108i
$324$	0.292341	−	0.168783i	0.0162411	−	0.00937683i
$325$	−0.413447	−	22.0897i	−0.0229339	−	1.22532i
$326$	1.43439	−	2.48444i	0.0794438	−	0.137601i
$327$	−7.11008	−	4.61734i	−0.393188	−	0.255339i
$328$	−5.41244	+	0.857247i	−0.298852	+	0.0473335i
$329$	−9.59873	+	7.04968i	−0.529195	+	0.388662i
$330$	6.45450	−	6.93037i	0.355309	−	0.381504i
$331$	13.9983	+	6.23245i	0.769417	+	0.342566i	0.753621	−	0.657309i	$-0.228305\pi$
$331$	13.9983	+	6.23245i	0.769417	+	0.342566i	0.0157955	+	0.999875i	$0.494972\pi$
$332$	−0.312042	+	0.0836113i	−0.0171255	+	0.00458877i
$333$	14.0341	−	17.3307i	0.769066	−	0.949717i
$334$	0.617303	−	0.685585i	0.0337773	−	0.0375135i
$335$	−3.23249	−	8.86379i	−0.176610	−	0.484281i
$336$	1.13958	+	2.52448i	0.0621693	+	0.137722i
$337$	14.1520	+	7.21082i	0.770910	+	0.392798i	0.794765	−	0.606917i	$-0.207594\pi$
$337$	14.1520	+	7.21082i	0.770910	+	0.392798i	−0.0238553	+	0.999715i	$0.507594\pi$
$338$	−6.51615	+	0.341497i	−0.354432	+	0.0185750i
$339$	−6.77379	−	7.52305i	−0.367902	−	0.408596i
$340$	−0.838271	−	0.866960i	−0.0454616	−	0.0470175i
$341$	−13.7284	−	12.3611i	−0.743432	−	0.669390i
$342$	−10.3960	−	1.64656i	−0.562151	−	0.0890359i
$343$	18.3348	+	2.61432i	0.989987	+	0.141160i
$344$	−4.67248	−	6.43112i	−0.251923	−	0.346743i
$345$	14.1270	−	1.24493i	0.760574	−	0.0670249i
$346$	−8.20986	−	18.4396i	−0.441365	−	0.991321i
$347$	−3.00401	+	7.82571i	−0.161264	+	0.420106i	−0.990275	−	0.139126i	$-0.955571\pi$
$347$	−3.00401	+	7.82571i	−0.161264	+	0.420106i	0.829011	+	0.559232i	$0.188904\pi$
$348$	3.30821	−	5.09420i	0.177339	−	0.273078i
$349$	3.15472			0.168868			0.0844342	−	0.996429i	$-0.473092\pi$
$349$	3.15472			0.168868			0.0844342	+	0.996429i	$0.473092\pi$
$350$	−13.1115	−	1.75708i	−0.700842	−	0.0939197i
$351$	−22.6854			−1.21086
$352$	−2.20344	+	3.39301i	−0.117444	+	0.180848i
$353$	−8.86129	+	23.0845i	−0.471639	+	1.22866i	0.467153	+	0.884177i	$0.345280\pi$
$353$	−8.86129	+	23.0845i	−0.471639	+	1.22866i	−0.938792	+	0.344485i	$0.888054\pi$
$354$	−3.06337	−	6.88044i	−0.162816	−	0.365691i
$355$	12.9782	+	30.5211i	0.688809	+	1.61989i
$356$	10.6202	+	14.6175i	0.562871	+	0.774726i
$357$	−0.685009	−	1.32746i	−0.0362545	−	0.0702569i
$358$	−15.5333	−	2.46023i	−0.820959	−	0.130027i
$359$	6.56086	+	5.90743i	0.346269	+	0.311782i	0.823852	−	0.566804i	$-0.191820\pi$
$359$	6.56086	+	5.90743i	0.346269	+	0.311782i	−0.477583	+	0.878586i	$0.658487\pi$
$360$	0.595200	+	4.21578i	0.0313698	+	0.222191i
$361$	7.73426	+	8.58976i	0.407066	+	0.452093i
$362$	13.8772	−	0.727271i	0.729367	−	0.0382245i
$363$	5.00682	+	2.55110i	0.262790	+	0.133898i
$364$	−1.16214	+	11.6329i	−0.0609129	+	0.609731i
$365$	−20.4839	−	13.7978i	−1.07218	−	0.722210i
$366$	−7.13610	+	7.92545i	−0.373010	+	0.414270i
$367$	−8.48024	+	10.4722i	−0.442665	+	0.546646i	−0.948829	−	0.315792i	$-0.897730\pi$
$367$	−8.48024	+	10.4722i	−0.442665	+	0.546646i	0.506163	+	0.862438i	$0.331063\pi$
$368$	−5.85187	+	1.56800i	−0.305050	+	0.0817378i
$369$	−9.53196	−	4.24390i	−0.496214	−	0.220929i
$370$	12.7112	+	22.8975i	0.660822	+	1.19038i
$371$	−16.5004	−	7.24489i	−0.856659	−	0.376136i
$372$	−4.72136	+	0.747790i	−0.244791	+	0.0387711i
$373$	3.26898	+	2.12290i	0.169261	+	0.109919i	0.626490	−	0.779430i	$-0.284491\pi$
$373$	3.26898	+	2.12290i	0.169261	+	0.109919i	−0.457228	+	0.889349i	$0.651158\pi$
$374$	1.09096	−	1.88959i	0.0564121	−	0.0977086i
$375$	10.7015	+	4.74038i	0.552624	+	0.244792i
$376$	−3.89826	+	2.25066i	−0.201038	+	0.116069i
$377$	22.8437	−	11.6395i	1.17651	−	0.599462i
$378$	−2.05576	+	13.4266i	−0.105737	+	0.690592i
$379$	−0.400656	+	0.551455i	−0.0205803	+	0.0283264i	−0.819183	−	0.573532i	$-0.805573\pi$
$379$	−0.400656	+	0.551455i	−0.0205803	+	0.0283264i	0.798603	+	0.601858i	$0.205573\pi$
$380$	6.35968	−	10.5994i	0.326245	−	0.543739i
$381$	−10.8533	+	1.14073i	−0.556032	+	0.0584413i
$382$	3.46501	+	12.9316i	0.177285	+	0.661637i
$383$	34.4062	−	13.2073i	1.75807	−	0.674862i	0.758339	−	0.651860i	$-0.226011\pi$
$383$	34.4062	−	13.2073i	1.75807	−	0.674862i	0.999735	−	0.0230011i	$-0.00732212\pi$
$384$	0.323502	+	0.995638i	0.0165087	+	0.0508084i
$385$	−3.46799	−	23.6821i	−0.176745	−	1.20695i
$386$	−0.643988	+	1.98199i	−0.0327781	+	0.100881i
$387$	−0.792151	−	15.1151i	−0.0402673	−	0.768346i
$388$	−1.47932	+	0.960685i	−0.0751013	+	0.0487714i
$389$	−3.73764	+	3.36538i	−0.189506	+	0.170632i	−0.758422	−	0.651764i	$-0.774029\pi$
$389$	−3.73764	+	3.36538i	−0.189506	+	0.170632i	0.568916	+	0.822395i	$0.307363\pi$
$390$	3.86878	−	9.59297i	0.195903	−	0.485759i
$391$	3.10743	−	1.00967i	0.157150	−	0.0510610i
$392$	6.77978	+	1.74201i	0.342431	+	0.0879848i
$393$	2.95407	+	2.95407i	0.149013	+	0.149013i
$394$	−8.36629	+	18.7910i	−0.421487	+	0.946676i
$395$	−20.4576	−	15.3957i	−1.02933	−	0.774641i
$396$	−7.03724	+	3.13318i	−0.353634	+	0.157448i
$397$	9.27836	−	7.51346i	0.465667	−	0.377090i	−0.367579	−	0.929992i	$-0.619813\pi$
$397$	9.27836	−	7.51346i	0.465667	−	0.377090i	0.833246	+	0.552902i	$0.186480\pi$
$398$	1.88387	+	3.69731i	0.0944299	+	0.185329i
$399$	11.3256	−	10.3037i	0.566989	−	0.515830i
$400$	−4.85300	−	1.20349i	−0.242650	−	0.0601745i
$401$	−0.0272096	−	0.0471284i	−0.00135878	−	0.00235348i	0.865345	−	0.501176i	$-0.167099\pi$
$401$	−0.0272096	−	0.0471284i	−0.00135878	−	0.00235348i	−0.866704	+	0.498823i	$0.833766\pi$
$402$	0.231177	−	4.41111i	0.0115300	−	0.220006i
$403$	−18.8365	−	7.23065i	−0.938313	−	0.360184i
$404$	0.217947	−	2.07363i	0.0108433	−	0.103167i
$405$	−0.318569	+	0.684300i	−0.0158298	+	0.0340032i
$406$	−4.81885	−	14.5751i	−0.239155	−	0.723350i
$407$	−33.5053	+	33.5053i	−1.66080	+	1.66080i
$408$	−0.202334	−	0.527098i	−0.0100170	−	0.0260952i
$409$	31.0734	+	6.60485i	1.53648	+	0.326589i	0.896934	−	0.442165i	$-0.145789\pi$
$409$	31.0734	+	6.60485i	1.53648	+	0.326589i	0.639545	+	0.768754i	$0.279123\pi$
$410$	8.80902	−	8.51752i	0.435047	−	0.420650i
$411$	1.19691	+	5.63103i	0.0590394	+	0.277758i
$412$	−0.131880	+	0.258829i	−0.00649725	+	0.0127516i
$413$	−18.4110	−	4.83174i	−0.905945	−	0.237755i
$414$	−10.9707	−	3.56461i	−0.539182	−	0.175191i
$415$	0.463975	−	0.553653i	0.0227757	−	0.0271778i
$416$	−0.918704	+	4.32216i	−0.0450431	+	0.211911i
$417$	6.46302	+	5.23365i	0.316495	+	0.256293i
$418$	21.6025	+	5.78838i	1.05661	+	0.283119i
$419$	8.70896	−	6.32743i	0.425460	−	0.309115i	−0.354371	−	0.935105i	$-0.615305\pi$
$419$	8.70896	−	6.32743i	0.425460	−	0.309115i	0.779831	+	0.625990i	$0.215305\pi$
$420$	−5.32713	−	3.15910i	−0.259937	−	0.154148i
$421$	14.0848	+	10.2332i	0.686450	+	0.498735i	0.875491	−	0.483234i	$-0.160538\pi$
$421$	14.0848	+	10.2332i	0.686450	+	0.498735i	−0.189041	+	0.981969i	$0.560538\pi$
$422$	7.43664	+	9.18349i	0.362010	+	0.447045i
$423$	−8.55901	−	0.448559i	−0.416154	−	0.0218097i
$424$	−5.89872	−	3.40563i	−0.286467	−	0.165392i
$425$	2.64769	+	0.511194i	0.128432	+	0.0247966i
$426$			15.5275i			0.752308i
$427$	4.35336	+	26.5989i	0.210674	+	1.28721i
$428$	−0.280056	−	1.76821i	−0.0135370	−	0.0854694i
$429$	18.6123	+	1.95623i	0.898609	+	0.0944476i
$430$	16.8104	+	5.77643i	0.810670	+	0.278564i
$431$	−2.61321	−	24.8631i	−0.125874	−	1.19761i	−0.856981	−	0.515348i	$-0.827663\pi$
$431$	−2.61321	−	24.8631i	−0.125874	−	1.19761i	0.731107	−	0.682263i	$-0.239004\pi$
$432$	−1.32876	+	4.95900i	−0.0639300	+	0.238590i
$433$	0.558264	−	3.52474i	0.0268285	−	0.169388i	−0.970636	−	0.240552i	$-0.922671\pi$
$433$	0.558264	−	3.52474i	0.0268285	−	0.169388i	0.997465	+	0.0711641i	$0.0226714\pi$
$434$	−5.98652	+	10.4934i	−0.287362	+	0.503698i
$435$	0.482571	+	13.5736i	0.0231375	+	0.650804i
$436$	−7.92122	+	1.68371i	−0.379358	+	0.0806350i
$437$	18.2401	+	28.0873i	0.872541	+	1.34360i
$438$	−6.29758	−	9.69742i	−0.300910	−	0.463360i
$439$	−22.1259	+	4.70299i	−1.05601	+	0.224462i	−0.703023	−	0.711167i	$-0.748167\pi$
$439$	−22.1259	+	4.70299i	−1.05601	+	0.224462i	−0.352986	+	0.935629i	$0.614834\pi$
$440$	−0.321418	−	9.04074i	−0.0153230	−	0.431000i
$441$	9.01994	+	9.81254i	0.429521	+	0.467264i
$442$	0.372798	−	2.35375i	0.0177322	−	0.111957i
$443$	8.82680	−	32.9420i	0.419374	−	1.56512i	−0.356537	−	0.934281i	$-0.616043\pi$
$443$	8.82680	−	32.9420i	0.419374	−	1.56512i	0.775911	−	0.630843i	$-0.217291\pi$
$444$	1.28164	+	12.1940i	0.0608238	+	0.578699i
$445$	−38.2089	−	13.1294i	−1.81128	−	0.622395i
$446$	−19.3128	−	2.02986i	−0.914490	−	0.0961168i
$447$	1.62466	+	10.2577i	0.0768436	+	0.485171i
$448$	2.47487	+	0.935422i	0.116927	+	0.0441945i
$449$		−	0.878256i		−	0.0414474i	−0.999785	−	0.0207237i	$-0.993403\pi$
$449$		−	0.878256i		−	0.0414474i	0.999785	−	0.0207237i	$-0.00659704\pi$
$450$	−6.50158	−	6.95448i	−0.306487	−	0.327837i
$451$	19.1998	+	11.0850i	0.904085	+	0.521973i
$452$	−9.65673	−	0.506088i	−0.454214	−	0.0238044i
$453$	−13.2776	−	16.3965i	−0.623838	−	0.770376i
$454$	2.66596	+	1.93693i	0.125119	+	0.0909046i
$455$	−12.8056	−	22.7902i	−0.600335	−	1.06842i
$456$	4.68188	−	3.40158i	0.219249	−	0.159294i
$457$	−22.8357	−	6.11880i	−1.06821	−	0.286225i	−0.318451	−	0.947939i	$-0.603163\pi$
$457$	−22.8357	−	6.11880i	−1.06821	−	0.286225i	−0.749756	+	0.661714i	$0.769829\pi$
$458$	8.91206	+	7.21685i	0.416433	+	0.337221i
$459$	0.575670	−	2.70831i	0.0268700	−	0.126413i
$460$	8.70115	−	10.3829i	0.405693	−	0.484106i
$461$	3.37883	+	1.09785i	0.157368	+	0.0511319i	0.386641	−	0.922230i	$-0.373635\pi$
$461$	3.37883	+	1.09785i	0.157368	+	0.0511319i	−0.229274	+	0.973362i	$0.573635\pi$
$462$	2.84447	−	10.8386i	0.132337	−	0.504259i
$463$	11.0700	−	21.7260i	0.514464	−	1.00969i	−0.476949	−	0.878931i	$-0.658257\pi$
$463$	11.0700	−	21.7260i	0.514464	−	1.00969i	0.991414	−	0.130762i	$-0.0417425\pi$
$464$	−1.20634	−	5.67536i	−0.0560027	−	0.263472i
$465$	7.68425	−	7.42996i	0.356348	−	0.344556i
$466$	6.24978	+	1.32843i	0.289515	+	0.0615384i
$467$	−9.52467	−	24.8126i	−0.440749	−	1.14819i	−0.956572	−	0.291495i	$-0.905847\pi$
$467$	−9.52467	−	24.8126i	−0.440749	−	1.14819i	0.515823	−	0.856695i	$-0.327486\pi$
$468$	−5.94922	+	5.94922i	−0.275003	+	0.275003i
$469$	−8.33440	−	7.42698i	−0.384847	−	0.342946i
$470$	4.24802	−	9.12492i	0.195946	−	0.420901i
$471$	−0.728782	+	6.93390i	−0.0335805	+	0.319497i
$472$	−6.71650	−	2.57822i	−0.309152	−	0.118672i
$473$	−1.68315	+	32.1164i	−0.0773913	+	1.47671i
$474$	−5.99349	−	10.3810i	−0.275290	−	0.476817i
$475$	1.96284	+	27.5702i	0.0900612	+	1.26501i
$476$	−1.35932	−	0.433943i	−0.0623041	−	0.0198898i
$477$	−5.88779	−	11.5554i	−0.269583	−	0.529087i
$478$	2.17571	−	1.76185i	0.0995146	−	0.0805853i
$479$	8.65206	−	3.85215i	0.395323	−	0.176009i	−0.199440	−	0.979910i	$-0.563912\pi$
$479$	8.65206	−	3.85215i	0.395323	−	0.176009i	0.594763	+	0.803901i	$0.297246\pi$
$480$	−1.87040	−	1.40760i	−0.0853718	−	0.0642479i
$481$	−21.0497	+	47.2783i	−0.959782	+	2.15570i
$482$	−5.97049	−	5.97049i	−0.271948	−	0.271948i
$483$	14.0257	−	9.21144i	0.638193	−	0.419135i
$484$	5.10495	−	1.65870i	0.232043	−	0.0753955i
$485$	1.47521	−	3.65791i	0.0669859	−	0.166097i
$486$	−11.7084	+	10.5423i	−0.531103	+	0.478207i
$487$	28.3489	−	18.4100i	1.28461	−	0.834236i	0.292099	−	0.956388i	$-0.405646\pi$
$487$	28.3489	−	18.4100i	1.28461	−	0.834236i	0.992511	+	0.122153i	$0.0389797\pi$
$488$	0.533157	+	10.1732i	0.0241349	+	0.460521i
$489$	−0.928060	+	2.85628i	−0.0419683	+	0.129165i
$490$	−14.6491	+	5.51388i	−0.661780	+	0.249092i
$491$	−4.95490	−	15.2496i	−0.223611	−	0.688205i	−0.998430	−	0.0560210i	$-0.982159\pi$
$491$	−4.95490	−	15.2496i	−0.223611	−	0.688205i	0.774818	−	0.632184i	$-0.217841\pi$
$492$	5.35575	−	2.05588i	0.241456	−	0.0926862i
$493$	0.809898	+	3.02258i	0.0364760	+	0.136130i
$494$	24.2928	−	2.55328i	1.09299	−	0.114877i
$495$	8.86217	−	14.7702i	0.398325	−	0.663872i
$496$	−2.68393	+	3.69411i	−0.120512	+	0.165870i
$497$	30.6237	+	24.5386i	1.37366	+	1.10071i
$498$	0.301332	−	0.153536i	0.0135030	−	0.00688012i
$499$	11.0279	−	6.36698i	0.493678	−	0.285025i	−0.232421	−	0.972615i	$-0.574665\pi$
$499$	11.0279	−	6.36698i	0.493678	−	0.285025i	0.726099	+	0.687590i	$0.241331\pi$
$500$	10.4301	−	4.02641i	0.466450	−	0.180067i
$501$	−0.482895	+	0.836399i	−0.0215742	+	0.0373675i
$502$	−13.9796	−	9.07845i	−0.623940	−	0.405191i
$503$	−5.72052	+	0.906041i	−0.255065	+	0.0403984i	−0.282657	−	0.959221i	$-0.591216\pi$
$503$	−5.72052	+	0.906041i	−0.255065	+	0.0403984i	0.0275923	+	0.999619i	$0.491216\pi$
$504$	2.98200	+	4.06024i	0.132829	+	0.180858i
$505$	2.26290	+	4.07632i	0.100698	+	0.181394i
$506$	22.3910	+	9.96913i	0.995403	+	0.443182i
$507$	6.59820	−	1.76798i	0.293036	−	0.0785188i
$508$	−6.56032	+	8.10132i	−0.291067	+	0.359438i
$509$	29.6673	−	32.9489i	1.31498	−	1.46043i	0.519474	−	0.854486i	$-0.326128\pi$
$509$	29.6673	−	32.9489i	1.31498	−	1.46043i	0.795505	−	0.605946i	$-0.207205\pi$
$510$	1.04709	+	0.705310i	0.0463659	+	0.0312317i
$511$	−29.0778	−	2.90491i	−1.28633	−	0.128506i
$512$	0.891007	+	0.453990i	0.0393773	+	0.0200637i
$513$	28.3414	−	1.48531i	1.25130	−	0.0655781i
$514$	7.82224	+	8.68748i	0.345024	+	0.383188i
$515$	−0.0908063	−	0.643177i	−0.00400140	−	0.0283418i
$516$	6.18440	+	5.56846i	0.272253	+	0.245138i
$517$	17.9868	+	2.84883i	0.791059	+	0.125291i
$518$	26.0747	+	16.7429i	1.14566	+	0.735640i
$519$	12.4204	+	17.0952i	0.545196	+	0.750398i
$520$	−3.86638	−	9.09267i	−0.169552	−	0.398740i
$521$	10.3004	+	23.1351i	0.451270	+	1.01357i	0.985724	+	0.168371i	$0.0538507\pi$
$521$	10.3004	+	23.1351i	0.451270	+	1.01357i	−0.534454	+	0.845198i	$0.679483\pi$
$522$	3.95911	−	10.3138i	0.173285	−	0.451424i
$523$	11.2173	−	17.2731i	0.490496	−	0.755298i	−0.503584	−	0.863946i	$-0.667986\pi$
$523$	11.2173	−	17.2731i	0.490496	−	0.755298i	0.994080	+	0.108648i	$0.0346522\pi$
$524$	3.99063			0.174331
$525$	13.8087	−	1.05458i	0.602659	−	0.0460258i
$526$	19.1071			0.833110
$527$	1.34124	−	2.06532i	0.0584252	−	0.0899669i
$528$	1.51781	−	3.95403i	0.0660542	−	0.172077i
$529$	5.57350	+	12.5183i	0.242326	+	0.544274i
$530$	15.1716	−	1.33699i	0.659013	−	0.0580750i
$531$	−8.05172	−	11.0822i	−0.349415	−	0.480928i
$532$	0.690236	−	14.6094i	0.0299255	−	0.633397i
$533$	23.9161	+	3.78793i	1.03592	+	0.164074i
$534$	−14.0567	−	12.6567i	−0.608294	−	0.547710i
$535$	2.78261	+	2.87784i	0.120303	+	0.124420i
$536$	−2.82332	−	3.13561i	−0.121949	−	0.135438i
$537$	16.4415	−	0.861665i	0.709505	−	0.0371836i
$538$	6.03701	+	3.07601i	0.260274	+	0.132616i
$539$	−16.8811	−	22.7386i	−0.727119	−	0.979422i
$540$	−3.93313	−	10.7850i	−0.169255	−	0.464114i
$541$	15.9052	−	17.6645i	0.683819	−	0.759458i	−0.296894	−	0.954910i	$-0.595951\pi$
$541$	15.9052	−	17.6645i	0.683819	−	0.759458i	0.980713	+	0.195452i	$0.0626174\pi$
$542$	3.24994	−	4.01334i	0.139597	−	0.172388i
$543$	−14.0519	+	3.76520i	−0.603025	+	0.161580i
$544$	−0.492691	−	0.219360i	−0.0211240	−	0.00940499i
$545$	12.3413	−	13.2512i	0.528645	−	0.567620i
$546$	−1.34196	−	12.1651i	−0.0574307	−	0.520616i
$547$	−24.6287	+	3.90080i	−1.05305	+	0.166786i	−0.658876	−	0.752251i	$-0.728968\pi$
$547$	−24.6287	+	3.90080i	−1.05305	+	0.166786i	−0.394170	+	0.919037i	$0.628968\pi$
$548$	4.61190	+	2.99500i	0.197011	+	0.127940i
$549$	−9.69848	+	16.7983i	−0.413921	+	0.716932i
$550$	12.1942	+	16.1398i	0.519961	+	0.688204i
$551$	−27.7771	+	16.0371i	−1.18334	+	0.683204i
$552$	5.65102	−	2.87934i	0.240523	−	0.122553i
$553$	−29.9455	−	4.58498i	−1.27341	−	0.194973i
$554$	−15.2739	+	21.0227i	−0.648924	+	0.893167i
$555$	−18.0000	−	20.6803i	−0.764058	−	0.877830i
$556$	7.90045	−	0.830371i	0.335054	−	0.0352156i
$557$	−0.444423	−	1.65861i	−0.0188308	−	0.0702775i	0.955871	−	0.293786i	$-0.0949155\pi$
$557$	−0.444423	−	1.65861i	−0.0188308	−	0.0702775i	−0.974702	+	0.223509i	$0.928249\pi$
$558$	−8.11675	+	3.11573i	−0.343609	+	0.131899i
$559$	10.8545	+	33.4066i	0.459094	+	1.41295i
$560$	−5.73198	+	1.46438i	−0.242220	+	0.0618814i
$561$	−0.705855	+	2.17240i	−0.0298012	+	0.0917187i
$562$	−0.687305	−	13.1146i	−0.0289922	−	0.553204i
$563$	−19.7399	+	12.8192i	−0.831936	+	0.540266i	−0.888895	−	0.458111i	$-0.848526\pi$
$563$	−19.7399	+	12.8192i	−0.831936	+	0.540266i	0.0569587	+	0.998377i	$0.481860\pi$
$564$	3.50194	−	3.15316i	0.147458	−	0.132772i
$565$	18.3299	−	11.4699i	0.771144	−	0.482541i
$566$	−0.573362	+	0.186297i	−0.0241002	+	0.00783063i
$567$	0.0513337	+	0.891639i	0.00215581	+	0.0374453i
$568$	10.4879	+	10.4879i	0.440064	+	0.440064i
$569$	−8.66532	+	19.4626i	−0.363269	+	0.815916i	0.635761	+	0.771886i	$0.280686\pi$
$569$	−8.66532	+	19.4626i	−0.363269	+	0.815916i	−0.999030	+	0.0440302i	$0.985980\pi$
$570$	−4.20526	+	12.2380i	−0.176139	+	0.512595i
$571$	−25.9085	+	11.5352i	−1.08424	+	0.482734i	−0.869498	−	0.493937i	$-0.835557\pi$
$571$	−25.9085	+	11.5352i	−1.08424	+	0.482734i	−0.214741	+	0.976671i	$0.568891\pi$
$572$	13.8929	−	11.2502i	0.580891	−	0.470396i
$573$	−6.36282	−	12.4877i	−0.265811	−	0.521683i
$574$	4.40922	−	13.8118i	0.184037	−	0.576492i
$575$	−2.60202	+	30.1795i	−0.108512	+	1.25857i
$576$	0.952026	+	1.64896i	0.0396677	+	0.0687065i
$577$	−0.761147	+	14.5236i	−0.0316870	+	0.604623i	0.935928	+	0.352192i	$0.114564\pi$
$577$	−0.761147	+	14.5236i	−0.0316870	+	0.604623i	−0.967615	+	0.252431i	$0.918770\pi$
$578$	−15.5993	−	5.98802i	−0.648846	−	0.249069i
$579$	0.228047	−	2.16973i	0.00947732	−	0.0901707i
$580$	9.49417	+	8.84227i	0.394224	+	0.367155i
$581$	0.173397	−	0.836935i	0.00719371	−	0.0347219i
$582$	1.30573	−	1.30573i	0.0541241	−	0.0541241i
$583$	9.87528	+	25.7260i	0.408992	+	1.06546i
$584$	−10.8037	−	2.29640i	−0.447062	−	0.0950259i
$585$	3.25517	−	18.5293i	0.134585	−	0.766094i
$586$	−1.97174	−	9.27631i	−0.0814519	−	0.383201i
$587$	−10.0946	+	19.8117i	−0.416648	+	0.817718i	0.583337	+	0.812230i	$0.301747\pi$
$587$	−10.0946	+	19.8117i	−0.416648	+	0.817718i	−0.999985	+	0.00548735i	$0.998253\pi$
$588$	−7.32165	−	0.308145i	−0.301940	−	0.0127077i
$589$	24.0063	+	7.80012i	0.989163	+	0.321398i
$590$	15.6067	−	3.90165i	0.642519	−	0.160628i
$591$	4.47707	−	21.0629i	0.184162	−	0.866413i
$592$	9.10202	+	7.37067i	0.374091	+	0.302933i
$593$	7.50991	+	2.01227i	0.308395	+	0.0826342i	0.409697	−	0.912221i	$-0.365634\pi$
$593$	7.50991	+	2.01227i	0.308395	+	0.0826342i	−0.101302	+	0.994856i	$0.532301\pi$
$594$	16.8036	−	12.2085i	0.689458	−	0.500921i
$595$	3.04579	−	0.950474i	0.124865	−	0.0389656i
$596$	8.02585	+	5.83112i	0.328752	+	0.238852i
$597$	−2.73383	−	3.37600i	−0.111888	−	0.138170i
$598$	26.7332	+	1.40103i	1.09320	+	0.0572924i
$599$	−39.0207	−	22.5286i	−1.59434	−	0.920494i	−0.992549	−	0.121843i	$-0.961120\pi$
$599$	−39.0207	−	22.5286i	−1.59434	−	0.920494i	−0.601793	−	0.798652i	$-0.705547\pi$
$600$	5.23142	+	0.176079i	0.213572	+	0.00718841i
$601$			29.8338i			1.21695i	0.793574	+	0.608474i	$0.208218\pi$
$601$			29.8338i			1.21695i	−0.793574	+	0.608474i	$0.791782\pi$
$602$	20.7557	−	3.39703i	0.845940	−	0.138452i
$603$	−1.25678	−	7.93501i	−0.0511801	−	0.323138i
$604$	−20.0433	−	2.10663i	−0.815549	−	0.0857177i
$605$	−7.21722	+	9.59015i	−0.293422	+	0.389895i
$606$	0.228163	+	2.17083i	0.00926850	+	0.0881838i
$607$	1.44519	−	5.39352i	0.0586585	−	0.218916i	−0.930375	−	0.366610i	$-0.880518\pi$
$607$	1.44519	−	5.39352i	0.0586585	−	0.218916i	0.989033	+	0.147694i	$0.0471850\pi$
$608$	0.864768	−	5.45993i	0.0350710	−	0.221429i
$609$	8.10688	+	13.8760i	0.328507	+	0.562285i
$610$	−14.0356	−	17.9415i	−0.568287	−	0.726429i
$611$	19.4555	−	4.13539i	0.787084	−	0.167300i
$612$	−0.559284	−	0.861221i	−0.0226077	−	0.0348128i
$613$	4.43604	+	6.83090i	0.179170	+	0.275897i	0.916832	−	0.399272i	$-0.130737\pi$
$613$	4.43604	+	6.83090i	0.179170	+	0.275897i	−0.737663	+	0.675170i	$0.764070\pi$
$614$	−25.6764	+	5.45769i	−1.03622	+	0.220255i
$615$	−7.16653	+	10.6393i	−0.288982	+	0.429017i
$616$	−5.39961	−	9.24218i	−0.217557	−	0.372378i
$617$	1.12480	−	7.10172i	0.0452828	−	0.285904i	−0.954647	−	0.297739i	$-0.903767\pi$
$617$	1.12480	−	7.10172i	0.0452828	−	0.285904i	0.999930	+	0.0118351i	$0.00376732\pi$
$618$	0.0787087	−	0.293745i	0.00316613	−	0.0118161i
$619$	−1.22510	−	11.6560i	−0.0492409	−	0.468495i	−0.991162	−	0.132660i	$-0.957648\pi$
$619$	−1.22510	−	11.6560i	−0.0492409	−	0.468495i	0.941921	−	0.335835i	$-0.109019\pi$
$620$	0.171756	−	10.2088i	0.00689788	−	0.409996i
$621$	30.9325	+	3.25114i	1.24128	+	0.130464i
$622$	3.17760	+	20.0626i	0.127410	+	0.804436i
$623$	−47.1764	+	7.72121i	−1.89008	+	0.309344i
$624$		−	4.62585i		−	0.185182i
$625$	−13.9275	+	20.7611i	−0.557100	+	0.830445i
$626$	−28.4010	−	16.3973i	−1.13513	−	0.655370i
$627$	−23.3808	−	1.22534i	−0.933741	−	0.0489353i
$628$	4.19122	+	5.17572i	0.167248	+	0.206534i
$629$	−5.11019	−	3.71277i	−0.203757	−	0.148038i
$630$	−10.6718	−	3.60575i	−0.425176	−	0.143657i
$631$	−31.2236	+	22.6852i	−1.24299	+	0.903085i	−0.997794	−	0.0663879i	$-0.978853\pi$
$631$	−31.2236	+	22.6852i	−1.24299	+	0.903085i	−0.245197	+	0.969473i	$0.578853\pi$
$632$	−11.0601	−	2.96354i	−0.439947	−	0.117883i
$633$	−9.61397	−	7.78524i	−0.382121	−	0.309435i
$634$	0.950850	−	4.47340i	0.0377631	−	0.177661i
$635$	1.61134	−	23.2540i	0.0639442	−	0.922807i
$636$	6.78154	+	2.20346i	0.268906	+	0.0873727i
$637$	−26.1131	−	16.5782i	−1.03464	−	0.656853i
$638$	−10.6569	+	20.9153i	−0.421909	+	0.828043i
$639$	5.87169	+	27.6241i	0.232280	+	1.09279i
$640$	−2.21411	+	0.312597i	−0.0875204	+	0.0123565i
$641$	25.3479	+	5.38786i	1.00118	+	0.212808i	0.679212	−	0.733942i	$-0.262322\pi$
$641$	25.3479	+	5.38786i	1.00118	+	0.212808i	0.321970	+	0.946750i	$0.395655\pi$
$642$	0.671641	+	1.74968i	0.0265075	+	0.0690545i
$643$	24.0750	−	24.0750i	0.949426	−	0.949426i	−0.0493553	−	0.998781i	$-0.515717\pi$
$643$	24.0750	−	24.0750i	0.949426	−	0.949426i	0.998781	+	0.0493553i	$0.0157167\pi$
$644$	3.25179	−	15.6954i	0.128139	−	0.618487i
$645$	−18.4711	−	2.25615i	−0.727300	−	0.0888357i
$646$	−0.311635	+	2.96501i	−0.0122611	+	0.116657i
$647$	24.2324	+	9.30195i	0.952674	+	0.365697i	0.784548	−	0.620068i	$-0.212895\pi$
$647$	24.2324	+	9.30195i	0.952674	+	0.365697i	0.168126	+	0.985765i	$0.446228\pi$
$648$	−0.0176668	+	0.337103i	−0.000694019	+	0.0132427i
$649$	14.5531	+	25.2067i	0.571258	+	0.989448i
$650$	18.7512	+	11.6842i	0.735482	+	0.458291i
$651$	3.84623	−	12.0482i	0.150746	−	0.472207i
$652$	1.30240	+	2.55611i	0.0510060	+	0.100105i
$653$	−12.5432	+	10.1573i	−0.490855	+	0.397486i	−0.842541	−	0.538631i	$-0.818942\pi$
$653$	−12.5432	+	10.1573i	−0.490855	+	0.397486i	0.351687	+	0.936118i	$0.385608\pi$
$654$	7.74485	−	3.44823i	0.302848	−	0.134836i
$655$	−7.30633	+	5.12281i	−0.285482	+	0.200165i
$656$	2.22888	−	5.00615i	0.0870231	−	0.195457i
$657$	−14.8708	−	14.8708i	−0.580164	−	0.580164i
$658$	−0.684518	−	11.8897i	−0.0266853	−	0.463509i
$659$	−43.0670	+	13.9933i	−1.67765	+	0.545102i	−0.984454	−	0.175644i	$-0.943799\pi$
$659$	−43.0670	+	13.9933i	−1.67765	+	0.545102i	−0.693199	+	0.720747i	$0.743799\pi$
$660$	2.29692	+	9.18775i	0.0894074	+	0.357633i
$661$	29.8504	−	26.8775i	1.16105	−	1.04541i	0.162775	−	0.986663i	$-0.447956\pi$
$661$	29.8504	−	26.8775i	1.16105	−	1.04541i	0.998273	−	0.0587486i	$-0.0187110\pi$
$662$	−12.8510	+	8.34554i	−0.499468	+	0.324359i
$663$	0.130568	+	2.49138i	0.00507084	+	0.0967573i
$664$	0.0998278	−	0.307238i	0.00387407	−	0.0119232i
$665$	17.4905	+	27.6340i	0.678252	+	1.07160i
$666$	6.89122	+	21.2090i	0.267029	+	0.821832i
$667$	−32.8164	+	12.5971i	−1.27066	+	0.487760i
$668$	0.238772	+	0.891110i	0.00923838	+	0.0344781i
$669$	20.2181	−	2.12501i	0.781679	−	0.0821578i
$670$	9.19434	+	2.11658i	0.355208	+	0.0817704i
$671$	24.2252	−	33.3431i	0.935203	−	1.28720i
$672$	−2.73787	−	0.419196i	−0.105616	−	0.0161709i
$673$	−21.3983	+	10.9030i	−0.824843	+	0.420279i	−0.814850	−	0.579671i	$-0.803181\pi$
$673$	−21.3983	+	10.9030i	−0.824843	+	0.420279i	−0.00999310	+	0.999950i	$0.503181\pi$
$674$	−13.7552	+	7.94159i	−0.529832	+	0.305899i
$675$	21.0459	+	14.6970i	0.810057	+	0.565687i
$676$	3.26254	−	5.65089i	0.125482	−	0.217342i
$677$	−17.8919	−	11.6191i	−0.687641	−	0.446559i	0.152947	−	0.988234i	$-0.451124\pi$
$677$	−17.8919	−	11.6191i	−0.687641	−	0.446559i	−0.840588	+	0.541675i	$0.817790\pi$
$678$	9.99863	−	1.58363i	0.383995	−	0.0608189i
$679$	−0.511706	−	4.63868i	−0.0196375	−	0.178016i
$680$	1.18365	−	0.230853i	0.0453909	−	0.00885280i
$681$	−3.15152	−	1.40315i	−0.120767	−	0.0537688i
$682$	17.8439	−	4.78125i	0.683277	−	0.183084i
$683$	1.69488	−	2.09300i	0.0648526	−	0.0800863i	−0.743687	−	0.668528i	$-0.766925\pi$
$683$	1.69488	−	2.09300i	0.0648526	−	0.0800863i	0.808540	+	0.588441i	$0.200258\pi$
$684$	7.04298	−	7.82203i	0.269295	−	0.299083i
$685$	−12.2885	+	0.436883i	−0.469520	+	0.0166925i
$686$	−12.1784	+	13.9530i	−0.464974	+	0.532728i
$687$	−10.6967	−	5.45026i	−0.408106	−	0.207941i
$688$	7.93841	−	0.416034i	0.302649	−	0.0158612i
$689$	20.1388	+	22.3664i	0.767228	+	0.852093i
$690$	−6.65004	+	12.5260i	−0.253163	+	0.476855i
$691$	7.37170	+	6.63750i	0.280433	+	0.252503i	0.797328	−	0.603546i	$-0.206246\pi$
$691$	7.37170	+	6.63750i	0.280433	+	0.252503i	−0.516896	+	0.856048i	$0.672913\pi$
$692$	19.9362	+	3.15758i	0.757860	+	0.120033i
$693$	0.961839	−	20.3581i	0.0365373	−	0.773340i
$694$	−4.92709	−	6.78156i	−0.187030	−	0.257424i
$695$	−13.3987	+	11.6622i	−0.508243	+	0.442372i
$696$	2.47057	+	5.54900i	0.0936468	+	0.210334i
$697$	−1.05912	+	2.75911i	−0.0401172	+	0.104509i
$698$	−1.71819	+	2.64577i	−0.0650343	+	0.100144i
$699$	−6.68891			−0.252998
$700$	8.61467	−	10.0393i	0.325604	−	0.379450i
$701$	32.6138			1.23181			0.615903	−	0.787822i	$-0.288791\pi$
$701$	32.6138			1.23181			0.615903	+	0.787822i	$0.288791\pi$
$702$	12.3554	−	19.0256i	0.466323	−	0.718074i
$703$	23.2023	−	60.4441i	0.875092	−	2.27969i
$704$	−1.64553	−	3.69593i	−0.0620184	−	0.139296i
$705$	−2.36385	+	10.2685i	−0.0890279	+	0.386735i
$706$	−14.5340	−	20.0044i	−0.546996	−	0.752876i
$707$	4.64195	+	2.98065i	0.174578	+	0.112099i
$708$	7.43886	+	1.17820i	0.279569	+	0.0442794i
$709$	13.1566	+	11.8462i	0.494105	+	0.444894i	0.878125	−	0.478430i	$-0.158794\pi$
$709$	13.1566	+	11.8462i	0.494105	+	0.444894i	−0.384020	+	0.923325i	$0.625461\pi$
$710$	−32.6656	−	5.73858i	−1.22592	−	0.215365i
$711$	−14.5883	−	16.2019i	−0.547104	−	0.607620i
$712$	−18.0435	+	0.945618i	−0.676207	+	0.0354385i
$713$	24.6481	+	12.5588i	0.923078	+	0.470332i
$714$	1.48639	+	0.148492i	0.0556267	+	0.00555717i
$715$	−10.9940	+	38.4322i	−0.411153	+	1.43728i
$716$	10.5234	−	11.6874i	0.393276	−	0.436777i
$717$	−1.84444	+	2.27770i	−0.0688819	+	0.0850621i
$718$	−8.52769	+	2.28499i	−0.318251	+	0.0852750i
$719$	−22.9948	−	10.2380i	−0.857563	−	0.381812i	−0.0696301	−	0.997573i	$-0.522182\pi$
$719$	−22.9948	−	10.2380i	−0.857563	−	0.381812i	−0.787933	+	0.615761i	$0.788849\pi$
$720$	−3.85982	−	1.79690i	−0.143847	−	0.0669665i
$721$	−0.454946	−	0.619447i	−0.0169431	−	0.0230694i
$722$	−11.4164	+	1.80817i	−0.424873	+	0.0672933i
$723$	7.41330	+	4.81425i	0.275704	+	0.179044i
$724$	−6.94810	+	12.0345i	−0.258224	+	0.447257i
$725$	−28.7335	−	4.00128i	−1.06714	−	0.148604i
$726$	−4.86644	+	2.80964i	−0.180610	+	0.104276i
$727$	−6.56458	+	3.34482i	−0.243467	+	0.124053i	−0.571467	−	0.820625i	$-0.693625\pi$
$727$	−6.56458	+	3.34482i	−0.243467	+	0.124053i	0.328000	+	0.944678i	$0.393625\pi$
$728$	−9.12325	−	7.31040i	−0.338130	−	0.270942i
$729$	9.09952	−	12.5244i	0.337019	−	0.463867i
$730$	22.7282	−	9.66445i	0.841207	−	0.357697i
$731$	−4.26371	+	0.448134i	−0.157699	+	0.0165749i
$732$	−2.76024	−	10.3013i	−0.102021	−	0.380749i
$733$	−34.4811	+	13.2360i	−1.27359	+	0.488884i	−0.898854	−	0.438249i	$-0.855599\pi$
$733$	−34.4811	+	13.2360i	−1.27359	+	0.488884i	−0.374733	+	0.927133i	$0.622266\pi$
$734$	−4.16408	−	12.8157i	−0.153699	−	0.473037i
$735$	13.8006	−	8.83470i	0.509041	−	0.325873i
$736$	1.87212	−	5.76178i	0.0690072	−	0.212382i
$737$	0.893392	+	17.0469i	0.0329085	+	0.627932i
$738$	8.75071	−	5.68278i	0.322118	−	0.209186i
$739$	−5.05254	+	4.54933i	−0.185861	+	0.167350i	−0.756809	−	0.653637i	$-0.773243\pi$
$739$	−5.05254	+	4.54933i	−0.185861	+	0.167350i	0.570948	+	0.820986i	$0.306576\pi$
$740$	−26.1264	−	1.81038i	−0.960426	−	0.0665510i
$741$	−24.3201	+	7.90208i	−0.893421	+	0.290290i
$742$	15.0628	−	9.89256i	0.552974	−	0.363167i
$743$	2.24428	+	2.24428i	0.0823347	+	0.0823347i	0.747075	−	0.664740i	$-0.231458\pi$
$743$	2.24428	+	2.24428i	0.0823347	+	0.0823347i	−0.664740	+	0.747075i	$0.731458\pi$
$744$	1.94429	−	4.36694i	0.0712810	−	0.160100i
$745$	−22.1798	−	0.373158i	−0.812604	−	0.0136715i
$746$	−3.56082	+	1.58538i	−0.130371	+	0.0580449i
$747$	0.478025	−	0.387097i	0.0174900	−	0.0141631i
$748$	0.990569	+	1.94410i	0.0362188	+	0.0710834i
$749$	4.51220	+	1.44046i	0.164872	+	0.0526332i
$750$	−9.80408	+	6.39325i	−0.357994	+	0.233448i
$751$	13.7655	+	23.8425i	0.502310	+	0.870027i	0.999996	+	0.00266953i	$0.000849737\pi$
$751$	13.7655	+	23.8425i	0.502310	+	0.870027i	−0.497686	+	0.867357i	$0.665817\pi$
$752$	0.235581	−	4.49516i	0.00859077	−	0.163922i
$753$	16.2911	+	6.25356i	0.593680	+	0.227892i
$754$	−2.67991	+	25.4976i	−0.0975966	+	0.928569i
$755$	39.4009	−	21.8728i	1.43395	−	0.796032i
$756$	−10.1409	−	9.03678i	−0.368820	−	0.328664i
$757$	15.8288	−	15.8288i	0.575309	−	0.575309i	−0.358298	−	0.933607i	$-0.616643\pi$
$757$	15.8288	−	15.8288i	0.575309	−	0.575309i	0.933607	+	0.358298i	$0.116643\pi$
$758$	−0.244277	−	0.636362i	−0.00887253	−	0.0231137i
$759$	−25.0983	−	5.33480i	−0.911009	−	0.193641i
$760$	5.42569	+	11.1065i	0.196811	+	0.402876i
$761$	−6.39398	−	30.0813i	−0.231782	−	1.09045i	−0.927989	−	0.372607i	$-0.878464\pi$
$761$	−6.39398	−	30.0813i	−0.231782	−	1.09045i	0.696208	−	0.717840i	$-0.254869\pi$
$762$	4.95444	−	9.72364i	0.179481	−	0.352250i
$763$	5.43877	−	20.7240i	0.196897	−	0.750259i
$764$	−12.7325	−	4.13704i	−0.460646	−	0.149673i
$765$	2.12953	+	0.858826i	0.0769935	+	0.0310509i
$766$	−7.66238	+	36.0487i	−0.276853	+	1.30249i
$767$	24.7053	+	20.0060i	0.892057	+	0.722374i
$768$	−1.01120	−	0.270951i	−0.0364887	−	0.00977711i
$769$	5.36550	−	3.89826i	0.193485	−	0.140575i	−0.486825	−	0.873499i	$-0.661845\pi$
$769$	5.36550	−	3.89826i	0.193485	−	0.140575i	0.680310	+	0.732924i	$0.261845\pi$
$770$	21.7503	+	9.98969i	0.783826	+	0.360003i
$771$	−9.90086	−	7.19340i	−0.356571	−	0.259064i
$772$	−1.31150	−	1.61956i	−0.0472018	−	0.0582893i
$773$	−42.2950	−	2.21659i	−1.52124	−	0.0797251i	−0.726710	−	0.686944i	$-0.758952\pi$
$773$	−42.2950	−	2.21659i	−1.52124	−	0.0797251i	−0.794534	+	0.607219i	$0.792285\pi$
$774$	13.1081	+	7.56794i	0.471159	+	0.272024i
$775$	12.7907	+	18.9115i	0.459456	+	0.679321i
$776$		−	1.76389i		−	0.0633200i
$777$	−30.3447	−	11.4693i	−1.08861	−	0.411460i
$778$	−0.786785	−	4.96757i	−0.0282076	−	0.178096i
$779$	−30.1269	−	3.16647i	−1.07941	−	0.113450i
$780$	5.93825	+	8.46933i	0.212624	+	0.303251i
$781$	−6.27239	−	59.6778i	−0.224444	−	2.13544i
$782$	−0.845652	+	3.15602i	−0.0302404	+	0.112859i
$783$	−4.65985	+	29.4211i	−0.166529	+	1.05143i
$784$	−5.15350	+	4.73723i	−0.184054	+	0.169187i
$785$	−14.3177	−	4.09577i	−0.511021	−	0.146184i
$786$	−4.08640	+	0.868591i	−0.145757	+	0.0309816i
$787$	−21.5936	−	33.2513i	−0.769730	−	1.18528i	−0.978284	−	0.207269i	$-0.933542\pi$
$787$	−21.5936	−	33.2513i	−0.769730	−	1.18528i	0.208554	−	0.978011i	$-0.433124\pi$
$788$	−11.2028	−	17.2509i	−0.399085	−	0.614537i
$789$	−19.5657	+	4.15881i	−0.696556	+	0.148058i
$790$	24.0539	−	8.77210i	0.855800	−	0.312097i
$791$	12.6779	−	22.2223i	0.450775	−	0.790133i
$792$	1.20505	−	7.60838i	0.0428195	−	0.270352i
$793$	11.6506	−	43.4806i	0.413725	−	1.54404i
$794$	1.24797	+	11.8736i	0.0442887	+	0.421379i
$795$	−15.2447	+	4.67129i	−0.540675	+	0.165674i
$796$	−4.12685	−	0.433750i	−0.146272	−	0.0153738i
$797$	−0.825637	−	5.21287i	−0.0292456	−	0.184649i	0.968741	−	0.248074i	$-0.0797977\pi$
$797$	−0.825637	−	5.21287i	−0.0292456	−	0.184649i	−0.997987	+	0.0634250i	$0.979798\pi$
$798$	2.47304	+	15.1102i	0.0875448	+	0.534896i
$799$			2.42765i			0.0858839i
$800$	3.65246	−	3.41460i	0.129134	−	0.120724i
$801$	−29.7937	−	17.2014i	−1.05271	−	0.607782i
$802$	0.0543446	+	0.00284808i	0.00191898	+	0.000100569i
$803$	28.1213	+	34.7269i	0.992378	+	1.22548i
$804$	3.57356	+	2.59634i	0.126030	+	0.0915660i
$805$	14.1948	+	32.9107i	0.500300	+	1.15995i
$806$	16.3232	−	11.8595i	0.574961	−	0.417734i
$807$	−6.85141	−	1.83583i	−0.241181	−	0.0646242i
$808$	1.62039	+	1.31216i	0.0570050	+	0.0461617i
$809$	0.952149	−	4.47951i	0.0334758	−	0.157491i	−0.958235	−	0.285982i	$-0.907680\pi$
$809$	0.952149	−	4.47951i	0.0334758	−	0.157491i	0.991711	+	0.128491i	$0.0410134\pi$
$810$	−0.400397	−	0.639871i	−0.0140685	−	0.0224828i
$811$	18.9461	+	6.15597i	0.665289	+	0.216165i	0.622143	−	0.782903i	$-0.286262\pi$
$811$	18.9461	+	6.15597i	0.665289	+	0.216165i	0.0431454	+	0.999069i	$0.486262\pi$
$812$	14.8482	+	3.89674i	0.521071	+	0.136749i
$813$	−2.45440	+	4.81703i	−0.0860796	+	0.168941i
$814$	−9.85161	−	46.3482i	−0.345299	−	1.62450i
$815$	−5.66584	−	3.00800i	−0.198466	−	0.105366i
$816$	0.552261	+	0.117387i	0.0193330	+	0.00410935i
$817$	−15.7480	−	41.0249i	−0.550953	−	1.43528i
$818$	−22.4631	+	22.4631i	−0.785402	+	0.785402i
$819$	−6.98762	−	21.1348i	−0.244167	−	0.738509i
$820$	2.34565	+	12.0268i	0.0819138	+	0.419996i
$821$	−2.51660	+	23.9438i	−0.0878298	+	0.835645i	0.858581	+	0.512678i	$0.171347\pi$
$821$	−2.51660	+	23.9438i	−0.0878298	+	0.835645i	−0.946411	+	0.322966i	$0.895320\pi$
$822$	−5.37447	−	2.06306i	−0.187456	−	0.0719577i
$823$	−1.23607	+	23.5856i	−0.0430867	+	0.822143i	0.888556	+	0.458768i	$0.151709\pi$
$823$	−1.23607	+	23.5856i	−0.0430867	+	0.822143i	−0.931643	+	0.363375i	$0.881624\pi$
$824$	−0.145245	−	0.251572i	−0.00505985	−	0.00876392i
$825$	−15.9998	−	13.8730i	−0.557041	−	0.482996i
$826$	14.0796	−	12.8092i	0.489891	−	0.445689i
$827$	5.05880	+	9.92845i	0.175912	+	0.345246i	0.962081	−	0.272766i	$-0.0879384\pi$
$827$	5.05880	+	9.92845i	0.175912	+	0.345246i	−0.786169	+	0.618012i	$0.787938\pi$
$828$	8.96462	−	7.25941i	0.311542	−	0.252282i
$829$	−0.0117279	+	0.00522159i	−0.000407326	+	0.000181353i	−0.406940	−	0.913455i	$-0.633404\pi$
$829$	−0.0117279	+	0.00522159i	−0.000407326	+	0.000181353i	0.406533	+	0.913636i	$0.366738\pi$
$830$	0.211633	+	0.690663i	0.00734590	+	0.0239733i
$831$	11.0647	−	24.8517i	0.383829	−	0.862094i
$832$	−3.12451	−	3.12451i	−0.108323	−	0.108323i
$833$	2.64186	−	2.69683i	0.0915349	−	0.0934398i
$834$	−7.90932	+	2.56989i	−0.273877	+	0.0889881i
$835$	−1.58109	−	1.32499i	−0.0547158	−	0.0458533i
$836$	−16.6201	+	14.9648i	−0.574819	+	0.517569i
$837$	19.6604	−	12.7676i	0.679564	−	0.441314i
$838$	0.563390	+	10.7501i	0.0194620	+	0.371356i
$839$	9.88272	−	30.4159i	0.341189	−	1.05007i	−0.622403	−	0.782697i	$-0.713844\pi$
$839$	9.88272	−	30.4159i	0.341189	−	1.05007i	0.963592	−	0.267376i	$-0.0861565\pi$
$840$	5.55081	−	2.74713i	0.191521	−	0.0947851i
$841$	−1.44156	−	4.43666i	−0.0497089	−	0.152988i
$842$	−16.2534	+	6.23909i	−0.560129	+	0.215013i
$843$	3.55828	+	13.2797i	0.122554	+	0.457377i
$844$	−11.7522	+	1.23521i	−0.404528	+	0.0425176i
$845$	1.28082	+	14.5342i	0.0440614	+	0.499992i
$846$	5.03777	−	6.93389i	0.173202	−	0.238392i
$847$	−2.14935	+	14.0379i	−0.0738527	+	0.482349i
$848$	6.06887	−	3.09224i	0.208406	−	0.106188i
$849$	0.546573	−	0.315564i	0.0187583	−	0.0108301i
$850$	−1.87076	+	1.94212i	−0.0641665	+	0.0666143i
$851$	35.4777	−	61.4492i	1.21616	−	2.10645i
$852$	−13.0224	−	8.45686i	−0.446141	−	0.289727i
$853$	−50.1547	+	7.94372i	−1.71726	+	0.271988i	−0.935945	−	0.352145i	$-0.885452\pi$
$853$	−50.1547	+	7.94372i	−1.71726	+	0.271988i	−0.781318	+	0.624133i	$0.785452\pi$
$854$	−24.6787	−	10.8358i	−0.844489	−	0.370793i
$855$	−2.85357	+	23.3623i	−0.0975901	+	0.798973i
$856$	1.63547	+	0.728159i	0.0558993	+	0.0248880i
$857$	10.1852	−	2.72910i	0.347918	−	0.0932244i	−0.0806280	−	0.996744i	$-0.525693\pi$
$857$	10.1852	−	2.72910i	0.347918	−	0.0932244i	0.428546	+	0.903520i	$0.359026\pi$
$858$	−11.7776	+	14.5441i	−0.402081	+	0.496528i
$859$	12.1954	−	13.5443i	0.416101	−	0.462127i	−0.498260	−	0.867028i	$-0.666027\pi$
$859$	12.1954	−	13.5443i	0.416101	−	0.462127i	0.914361	+	0.404901i	$0.132694\pi$
$860$	−14.0001	+	10.9523i	−0.477401	+	0.373471i
$861$	−1.50880	+	15.1029i	−0.0514198	+	0.514706i
$862$	22.2752	+	11.3498i	0.758695	+	0.386575i
$863$	7.14826	−	0.374624i	0.243330	−	0.0127524i	0.0697187	−	0.997567i	$-0.477790\pi$
$863$	7.14826	−	0.374624i	0.243330	−	0.0127524i	0.173611	+	0.984814i	$0.444457\pi$
$864$	−3.43527	−	3.81525i	−0.116870	−	0.129798i
$865$	−40.5540	+	19.8112i	−1.37888	+	0.673600i
$866$	2.65204	+	2.38791i	0.0901202	+	0.0811446i
$867$	17.2770	+	2.73641i	0.586759	+	0.0929334i
$868$	−5.53998	−	10.7358i	−0.188039	−	0.364397i
$869$	27.2287	+	37.4771i	0.923671	+	1.27132i
$870$	−11.6466	−	6.98799i	−0.394857	−	0.236915i
$871$	7.58330	+	17.0324i	0.256950	+	0.577120i
$872$	2.90213	−	7.56031i	0.0982786	−	0.256024i
$873$	1.82919	−	2.81671i	0.0619088	−	0.0953312i
$874$	−33.4902			−1.13282
$875$	−2.88479	+	29.4394i	−0.0975237	+	0.995233i
$876$	11.5628			0.390672
$877$	−30.9928	+	47.7247i	−1.04655	+	1.61155i	−0.290690	+	0.956817i	$0.593885\pi$
$877$	−30.9928	+	47.7247i	−1.04655	+	1.61155i	−0.755862	+	0.654731i	$0.772782\pi$
$878$	8.10634	−	21.1177i	0.273576	−	0.712689i
$879$	4.03812	+	9.06977i	0.136202	+	0.305916i
$880$	7.75726	+	4.65438i	0.261497	+	0.156899i
$881$	13.1084	+	18.0422i	0.441633	+	0.607856i	0.970574	−	0.240803i	$-0.0774108\pi$
$881$	13.1084	+	18.0422i	0.441633	+	0.607856i	−0.528941	+	0.848659i	$0.677411\pi$
$882$	−13.1421	+	2.22047i	−0.442517	+	0.0747670i
$883$	−29.3466	−	4.64804i	−0.987591	−	0.156419i	−0.358315	−	0.933601i	$-0.616649\pi$
$883$	−29.3466	−	4.64804i	−0.987591	−	0.156419i	−0.629276	+	0.777182i	$0.716649\pi$
$884$	1.77098	+	1.59460i	0.0595646	+	0.0536322i
$885$	−15.1321	+	7.39221i	−0.508658	+	0.248486i
$886$	22.8201	+	25.3443i	0.766657	+	0.851458i
$887$	10.1317	−	0.530978i	0.340188	−	0.0178285i	0.118523	−	0.992951i	$-0.462184\pi$
$887$	10.1317	−	0.530978i	0.340188	−	0.0178285i	0.221665	+	0.975123i	$0.428851\pi$
$888$	−10.9247	−	5.56643i	−0.366610	−	0.186797i
$889$	−11.3476	−	25.1379i	−0.380586	−	0.843099i
$890$	31.8213	−	24.8939i	1.06665	−	0.834445i
$891$	0.913824	−	1.01490i	0.0306143	−	0.0340006i
$892$	12.2209	−	15.0916i	0.409187	−	0.505303i
$893$	−24.0354	+	6.44027i	−0.804315	+	0.215515i
$894$	−9.48766	−	4.22418i	−0.317315	−	0.141278i
$895$	−4.26370	+	34.9070i	−0.142520	+	1.16681i
$896$	−2.13242	+	1.56613i	−0.0712392	+	0.0523209i
$897$	−27.6798	+	4.38404i	−0.924200	+	0.146379i
$898$	0.736567	+	0.478332i	0.0245796	+	0.0159622i
$899$	−13.2468	+	22.9441i	−0.441806	+	0.765230i
$900$	9.37353	−	1.66500i	0.312451	−	0.0555000i
$901$	−3.18128	+	1.83671i	−0.105984	+	0.0611898i
$902$	−19.7537	+	10.0650i	−0.657725	+	0.335128i
$903$	−20.5145	+	7.99619i	−0.682678	+	0.266097i
$904$	5.68387	−	7.82318i	0.189043	−	0.260195i
$905$	−2.72770	−	30.9529i	−0.0906718	−	1.02891i
$906$	20.9828	−	2.20538i	0.697107	−	0.0732689i
$907$	0.850701	+	3.17486i	0.0282471	+	0.105419i	0.978610	−	0.205724i	$-0.0659548\pi$
$907$	0.850701	+	3.17486i	0.0282471	+	0.105419i	−0.950363	+	0.311143i	$0.899288\pi$
$908$	−3.07643	+	1.18093i	−0.102095	+	0.0391906i
$909$	1.22681	+	3.77573i	0.0406907	+	0.125233i
$910$	26.0879	+	1.67279i	0.864806	+	0.0554525i
$911$	10.2782	−	31.6329i	0.340531	−	1.04805i	−0.623403	−	0.781901i	$-0.714250\pi$
$911$	10.2782	−	31.6329i	0.340531	−	1.04805i	0.963933	−	0.266144i	$-0.0857498\pi$
$912$	0.302874	+	5.77919i	0.0100292	+	0.191368i
$913$	−1.09611	+	0.711822i	−0.0362759	+	0.0235579i
$914$	17.5688	−	15.8191i	0.581126	−	0.523248i
$915$	18.2776	+	15.3171i	0.604238	+	0.506367i
$916$	−10.9064	+	3.54371i	−0.360358	+	0.117087i
$917$	−4.74483	+	9.43199i	−0.156688	+	0.311472i
$918$	1.95785	+	1.95785i	0.0646187	+	0.0646187i
$919$	−9.84467	+	22.1115i	−0.324746	+	0.729390i	−0.999966	−	0.00822537i	$-0.997382\pi$
$919$	−9.84467	+	22.1115i	−0.324746	+	0.729390i	0.675221	+	0.737616i	$0.264048\pi$
$920$	3.96886	+	12.9523i	0.130849	+	0.427026i
$921$	25.1047	−	11.1773i	0.827229	−	0.368306i
$922$	−2.76097	+	2.23579i	−0.0909278	+	0.0736319i
$923$	−29.7542	−	58.3960i	−0.979372	−	1.92213i
$924$	7.54083	+	8.28871i	0.248075	+	0.272679i
$925$	50.1581	−	30.2242i	1.64919	−	0.993765i
$926$	12.1918	+	21.1169i	0.400649	+	0.693944i
$927$	0.0289474	−	0.552350i	0.000950758	−	0.0181416i
$928$	5.41678	+	2.07931i	0.177814	+	0.0682566i
$929$	−3.92474	+	37.3414i	−0.128766	+	1.22513i	0.719095	+	0.694912i	$0.244557\pi$
$929$	−3.92474	+	37.3414i	−0.128766	+	1.22513i	−0.847861	+	0.530218i	$0.822110\pi$
$930$	2.04615	+	10.4912i	0.0670959	+	0.344020i
$931$	33.7091	+	19.0018i	1.10477	+	0.622760i
$932$	−4.51799	+	4.51799i	−0.147992	+	0.147992i
$933$	−7.62063	−	19.8524i	−0.249488	−	0.649939i
$934$	25.9971	+	5.52585i	0.850651	+	0.180811i
$935$	−4.30927	−	2.28779i	−0.140928	−	0.0748189i
$936$	−1.74926	−	8.22962i	−0.0571763	−	0.268993i
$937$	−1.27961	+	2.51138i	−0.0418030	+	0.0820431i	−0.910963	−	0.412488i	$-0.864660\pi$
$937$	−1.27961	+	2.51138i	−0.0418030	+	0.0820431i	0.869160	+	0.494531i	$0.164660\pi$
$938$	10.7680	−	2.94479i	0.351588	−	0.0961508i
$939$	32.6516	+	10.6092i	1.06555	+	0.346217i
$940$	5.33917	+	8.53247i	0.174144	+	0.278299i
$941$	2.81097	−	13.2246i	0.0916349	−	0.431108i	−0.908284	−	0.418355i	$-0.862607\pi$
$941$	2.81097	−	13.2246i	0.0916349	−	0.431108i	0.999919	−	0.0127537i	$-0.00405973\pi$
$942$	−5.41834	−	4.38768i	−0.176539	−	0.142958i
$943$	−32.0677	−	8.59251i	−1.04427	−	0.279811i
$944$	5.82035	−	4.22873i	0.189436	−	0.137633i
$945$	30.1672	+	3.52721i	0.981341	+	0.114740i
$946$	−26.0184	−	18.9035i	−0.845930	−	0.614604i
$947$	5.02410	+	6.20425i	0.163261	+	0.201611i	0.852211	−	0.523198i	$-0.175261\pi$
$947$	5.02410	+	6.20425i	0.163261	+	0.201611i	−0.688950	+	0.724809i	$0.741928\pi$
$948$	11.9706	+	0.627350i	0.388786	+	0.0203754i
$949$	42.2665	+	24.4026i	1.37203	+	0.792142i
$950$	−24.1913	−	13.3696i	−0.784870	−	0.433767i
$951$			4.78771i			0.155252i
$952$	1.10427	−	0.903675i	0.0357896	−	0.0292883i
$953$	−8.52131	−	53.8014i	−0.276032	−	1.74280i	−0.602979	−	0.797757i	$-0.706020\pi$
$953$	−8.52131	−	53.8014i	−0.276032	−	1.74280i	0.326947	−	0.945043i	$-0.393980\pi$
$954$	12.8979	+	1.35563i	0.417586	+	0.0438900i
$955$	28.6224	−	8.77047i	0.926198	−	0.283806i
$956$	0.292639	+	2.78428i	0.00946463	+	0.0900499i
$957$	6.36025	−	23.7368i	0.205598	−	0.767301i
$958$	−1.48157	+	9.35426i	−0.0478673	+	0.302222i
$959$	−12.5623	+	7.33935i	−0.405658	+	0.237000i
$960$	2.19921	−	0.802017i	0.0709791	−	0.0258850i
$961$	−9.92831	+	2.11033i	−0.320268	+	0.0680751i
$962$	−28.1865	−	43.4033i	−0.908768	−	1.39938i
$963$	1.85652	+	2.85879i	0.0598256	+	0.0921233i
$964$	8.25904	−	1.75551i	0.266006	−	0.0565413i
$965$	4.48023	+	1.28163i	0.144224	+	0.0412571i
$966$	0.0863991	+	16.7799i	0.00277985	+	0.539884i
$967$	6.86712	−	43.3573i	0.220832	−	1.39428i	−0.589246	−	0.807954i	$-0.700575\pi$
$967$	6.86712	−	43.3573i	0.220832	−	1.39428i	0.810077	−	0.586323i	$-0.199425\pi$
$968$	−1.38925	+	5.18477i	−0.0446523	+	0.166645i
$969$	−0.326243	−	3.10400i	−0.0104804	−	0.0997147i
$970$	2.26433	+	3.22946i	0.0727032	+	0.103692i
$971$	32.7683	+	3.44409i	1.05158	+	0.110526i	0.614518	−	0.788903i	$-0.289351\pi$
$971$	32.7683	+	3.44409i	1.05158	+	0.110526i	0.437067	+	0.899429i	$0.356017\pi$
$972$	−2.46465	−	15.5612i	−0.0790538	−	0.499126i
$973$	−7.43096	+	19.6603i	−0.238226	+	0.630280i
$974$			33.8022i			1.08309i
$975$	−21.7443	−	7.88325i	−0.696376	−	0.252466i
$976$	−8.82238	−	5.09360i	−0.282397	−	0.163042i
$977$	−31.4464	−	1.64803i	−1.00606	−	0.0527253i	−0.457818	−	0.889046i	$-0.651369\pi$
$977$	−31.4464	−	1.64803i	−1.00606	−	0.0527253i	−0.548240	+	0.836321i	$0.684702\pi$
$978$	−1.89002	−	2.33398i	−0.0604361	−	0.0746323i
$979$	59.1380	+	42.9663i	1.89006	+	1.37321i
$980$	3.35416	−	15.2889i	0.107145	−	0.488385i
$981$	12.4745	−	9.06328i	0.398281	−	0.289368i
$982$	15.4880	+	4.15000i	0.494243	+	0.132432i
$983$	−1.45972	−	1.18206i	−0.0465579	−	0.0377019i	0.605759	−	0.795648i	$-0.292870\pi$
$983$	−1.45972	−	1.18206i	−0.0465579	−	0.0377019i	−0.652317	+	0.757946i	$0.726203\pi$
$984$	−1.19274	+	5.61142i	−0.0380233	+	0.178886i
$985$	42.6561	+	17.2029i	1.35914	+	0.548130i
$986$	−2.97605	−	0.966977i	−0.0947767	−	0.0307948i
$987$	3.28883	+	12.0261i	0.104685	+	0.382794i
$988$	−11.0895	+	21.7643i	−0.352803	+	0.692414i
$989$	−10.0129	−	47.1069i	−0.318391	−	1.49791i
$990$	7.56067	+	15.4769i	0.240294	+	0.491888i
$991$	17.3219	+	3.68188i	0.550248	+	0.116959i	0.474642	−	0.880179i	$-0.342578\pi$
$991$	17.3219	+	3.68188i	0.550248	+	0.116959i	0.0756060	+	0.997138i	$0.475911\pi$
$992$	−1.63637	−	4.26288i	−0.0519547	−	0.135347i
$993$	11.3429	−	11.3429i	0.359957	−	0.359957i
$994$	−37.2587	+	12.3185i	−1.18177	+	0.390720i
$995$	8.11254	−	4.50354i	0.257185	−	0.142772i
$996$	−0.0353507	+	0.336340i	−0.00112013	+	0.0106573i
$997$	39.0100	+	14.9745i	1.23546	+	0.474249i	0.886430	−	0.462863i	$-0.153178\pi$
$997$	39.0100	+	14.9745i	1.23546	+	0.474249i	0.349030	+	0.937112i	$0.386511\pi$
$998$	−0.666444	+	12.7165i	−0.0210959	+	0.402534i
$999$	−30.0646	−	52.0734i	−0.951201	−	1.64753i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.x.a.3.7	✓	320
7.5	odd	6	inner	350.2.x.a.103.14	yes	320
25.17	odd	20	inner	350.2.x.a.17.14	yes	320
175.117	even	60	inner	350.2.x.a.117.7	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.x.a.3.7	✓	320	1.1	even	1	trivial
350.2.x.a.17.14	yes	320	25.17	odd	20	inner
350.2.x.a.103.14	yes	320	7.5	odd	6	inner
350.2.x.a.117.7	yes	320	175.117	even	60	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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Newspace parameters

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$q$ -expansion

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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	350.2.x.a.3.7

Level	$350$
Weight	$2$
Character	350.3
Analytic conductor	$2.795$
Analytic rank	$0$
Dimension	$320$
Inner twists	$4$