LMFDB - Embedded newform 334.2.c.a.107.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [334,2,Mod(3,334)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(334, base_ring=CyclotomicField(166))

chi = DirichletCharacter(H, H._module([94]))

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

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

chi := DirichletCharacter("334.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$N$	$=$	$334 = 2 \cdot 167$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	334.c (of order $83$ , degree $82$ , 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:	$2.66700342751$
Analytic rank:	$0$
Dimension:	$574$
Relative dimension:	$7$ over $\Q(\zeta_{83})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{83}]$

Embedding invariants

Embedding label			107.2
Character	$\chi$	$=$	334.107
Dual form			334.2.c.a.231.2

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.862854 + 0.505453i) q^{2} +(-2.37640 - 0.742414i) q^{3} +(0.489034 + 0.872265i) q^{4} +(0.0184080 - 0.107027i) q^{5} +(-1.67523 - 1.84175i) q^{6} +(0.419853 + 1.25965i) q^{7} +(-0.0189241 + 0.999821i) q^{8} +(2.62963 + 1.82076i) q^{9} +(0.0699807 - 0.0830445i) q^{10} +(-0.241174 + 4.24327i) q^{11} +(-0.514559 - 2.43592i) q^{12} +(3.00702 + 0.815904i) q^{13} +(-0.274421 + 1.29911i) q^{14} +(-0.123203 + 0.240673i) q^{15} +(-0.521692 + 0.853134i) q^{16} +(1.69000 + 4.02604i) q^{17} +(1.34868 + 2.90021i) q^{18} +(1.13503 + 0.554184i) q^{19} +(0.102358 - 0.0362833i) q^{20} +(-0.0625579 - 3.30513i) q^{21} +(-2.35287 + 3.53942i) q^{22} +(-2.58712 + 1.14405i) q^{23} +(0.787253 - 2.36193i) q^{24} +(4.70156 + 1.66658i) q^{25} +(2.18222 + 2.22392i) q^{26} +(-0.303868 - 0.389608i) q^{27} +(-0.893424 + 0.982233i) q^{28} +(-5.33679 - 2.35997i) q^{29} +(-0.227956 + 0.145392i) q^{30} +(-2.55175 + 1.01478i) q^{31} +(-0.881363 + 0.472440i) q^{32} +(3.72339 - 9.90466i) q^{33} +(-0.576751 + 4.32810i) q^{34} +(0.142545 - 0.0217481i) q^{35} +(-0.302207 + 3.18415i) q^{36} +(-1.26543 + 0.876188i) q^{37} +(0.699255 + 1.05189i) q^{38} +(-6.54015 - 4.17137i) q^{39} +(0.106660 + 0.0204301i) q^{40} +(3.57104 - 3.37384i) q^{41} +(1.61661 - 2.88347i) q^{42} +(-8.28052 - 6.71409i) q^{43} +(-3.81920 + 1.86474i) q^{44} +(0.243277 - 0.247926i) q^{45} +(-2.81057 - 0.320523i) q^{46} +(6.32233 + 3.38898i) q^{47} +(1.87313 - 1.64008i) q^{48} +(4.18974 - 3.14203i) q^{49} +(3.21439 + 3.81444i) q^{50} +(-1.02713 - 10.8222i) q^{51} +(0.758853 + 3.02193i) q^{52} +(0.471368 + 1.61561i) q^{53} +(-0.0652648 - 0.489766i) q^{54} +(0.449706 + 0.103922i) q^{55} +(-1.26737 + 0.395940i) q^{56} +(-2.28586 - 2.15963i) q^{57} +(-3.41201 - 4.73381i) q^{58} +(2.40975 - 5.74067i) q^{59} +(-0.270181 + 0.0102314i) q^{60} +(2.45757 - 9.78660i) q^{61} +(-2.71471 - 0.414182i) q^{62} +(-1.18946 + 4.07686i) q^{63} +(-0.999284 - 0.0378415i) q^{64} +(0.142677 - 0.306814i) q^{65} +(8.21909 - 6.66428i) q^{66} +(1.31550 + 7.64853i) q^{67} +(-2.68531 + 3.44300i) q^{68} +(6.99739 - 0.797997i) q^{69} +(0.133988 + 0.0532845i) q^{70} +(-2.02693 + 0.388248i) q^{71} +(-1.87020 + 2.59470i) q^{72} +(-3.96489 - 6.48387i) q^{73} +(-1.53476 + 0.116405i) q^{74} +(-9.93551 - 7.45097i) q^{75} +(0.0716750 + 1.26107i) q^{76} +(-5.44629 + 1.47776i) q^{77} +(-3.53476 - 6.90503i) q^{78} +(-6.21681 - 0.471520i) q^{79} +(0.0817053 + 0.0715397i) q^{80} +(-2.94357 - 7.83024i) q^{81} +(4.78660 - 1.10613i) q^{82} +(-5.95867 + 3.49054i) q^{83} +(2.85236 - 1.67089i) q^{84} +(0.462006 - 0.106765i) q^{85} +(-3.75122 - 9.97870i) q^{86} +(10.9303 + 9.57035i) q^{87} +(-4.23795 - 0.321431i) q^{88} +(3.80430 + 7.43155i) q^{89} +(0.335228 - 0.0909582i) q^{90} +(0.234756 + 4.13035i) q^{91} +(-2.26310 - 1.69718i) q^{92} +(6.81737 - 0.517070i) q^{93} +(3.74228 + 6.11984i) q^{94} +(0.0802066 - 0.111278i) q^{95} +(2.44522 - 0.468369i) q^{96} +(9.83509 + 3.91122i) q^{97} +(5.20329 - 0.593394i) q^{98} +(-8.36019 + 10.7191i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$574 q - 7 q^{2} - 2 q^{3} - 7 q^{4} - 2 q^{5} - 2 q^{6} - 6 q^{7} - 7 q^{8} - 17 q^{9} - 2 q^{10} - 10 q^{11} - 2 q^{12} - 16 q^{13} - 6 q^{14} - 24 q^{15} - 7 q^{16} - 20 q^{17} - 17 q^{18} - 16 q^{19}+ \cdots - 152 q^{99}+O(q^{100})$ 574 * q - 7 * q^2 - 2 * q^3 - 7 * q^4 - 2 * q^5 - 2 * q^6 - 6 * q^7 - 7 * q^8 - 17 * q^9 - 2 * q^10 - 10 * q^11 - 2 * q^12 - 16 * q^13 - 6 * q^14 - 24 * q^15 - 7 * q^16 - 20 * q^17 - 17 * q^18 - 16 * q^19 - 2 * q^20 - 42 * q^21 - 10 * q^22 - 30 * q^23 - 2 * q^24 + 135 * q^25 - 16 * q^26 - 32 * q^27 - 6 * q^28 - 14 * q^29 - 24 * q^30 - 30 * q^31 - 7 * q^32 - 44 * q^33 - 20 * q^34 - 60 * q^35 - 17 * q^36 - 28 * q^37 + 67 * q^38 - 56 * q^39 - 2 * q^40 - 48 * q^41 - 42 * q^42 - 36 * q^43 - 10 * q^44 - 76 * q^45 - 30 * q^46 - 54 * q^47 - 2 * q^48 + 129 * q^49 - 31 * q^50 + 349 * q^51 - 16 * q^52 - 62 * q^53 - 32 * q^54 - 78 * q^55 - 6 * q^56 - 70 * q^57 - 14 * q^58 - 76 * q^59 - 24 * q^60 - 68 * q^61 - 30 * q^62 - 104 * q^63 - 7 * q^64 - 52 * q^65 - 44 * q^66 - 74 * q^67 - 20 * q^68 - 96 * q^69 - 60 * q^70 - 64 * q^71 - 17 * q^72 - 58 * q^73 - 28 * q^74 + 453 * q^75 - 16 * q^76 + 119 * q^77 - 56 * q^78 - 70 * q^79 - 2 * q^80 - 119 * q^81 - 48 * q^82 - 80 * q^83 - 42 * q^84 - 122 * q^85 - 36 * q^86 - 158 * q^87 + 156 * q^88 - 96 * q^89 + 339 * q^90 - 106 * q^91 - 30 * q^92 - 98 * q^93 - 54 * q^94 - 114 * q^95 - 2 * q^96 - 80 * q^97 - 37 * q^98 - 152 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/334\mathbb{Z}\right)^\times$ .

$n$	$5$
$\chi(n)$	$e\left(\frac{46}{83}\right)$

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

)

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

$2$	0.862854	+	0.505453i	0.610130	+	0.357409i
$2$	0.862854	+	0.505453i	0.610130	+	0.357409i
$3$	−2.37640	−	0.742414i	−1.37202	−	0.428633i	−0.478666	−	0.877997i	$-0.658880\pi$
$3$	−2.37640	−	0.742414i	−1.37202	−	0.428633i	−0.893349	+	0.449364i	$0.851651\pi$
$4$	0.489034	+	0.872265i	0.244517	+	0.436132i
$5$	0.0184080	−	0.107027i	0.00823232	−	0.0478640i	−0.981123	−	0.193387i	$-0.938053\pi$
$5$	0.0184080	−	0.107027i	0.00823232	−	0.0478640i	0.989355	+	0.145523i	$0.0464865\pi$
$6$	−1.67523	−	1.84175i	−0.683910	−	0.751893i
$7$	0.419853	+	1.25965i	0.158689	+	0.476102i	0.997683	−	0.0680400i	$-0.0216746\pi$
$7$	0.419853	+	1.25965i	0.158689	+	0.476102i	−0.838993	+	0.544142i	$0.816855\pi$
$8$	−0.0189241	+	0.999821i	−0.00669069	+	0.353490i
$9$	2.62963	+	1.82076i	0.876544	+	0.606920i
$10$	0.0699807	−	0.0830445i	0.0221298	−	0.0262610i
$11$	−0.241174	+	4.24327i	−0.0727168	+	1.27940i	0.730171	+	0.683265i	$0.239440\pi$
$11$	−0.241174	+	4.24327i	−0.0727168	+	1.27940i	−0.802888	+	0.596130i	$0.796704\pi$
$12$	−0.514559	−	2.43592i	−0.148540	−	0.703188i
$13$	3.00702	+	0.815904i	0.833998	+	0.226291i	0.653158	−	0.757221i	$-0.273444\pi$
$13$	3.00702	+	0.815904i	0.833998	+	0.226291i	0.180840	+	0.983513i	$0.442118\pi$
$14$	−0.274421	+	1.29911i	−0.0733422	+	0.347201i
$15$	−0.123203	+	0.240673i	−0.0318110	+	0.0621415i
$16$	−0.521692	+	0.853134i	−0.130423	+	0.213284i
$17$	1.69000	+	4.02604i	0.409886	+	0.976459i	0.987135	+	0.159890i	$0.0511141\pi$
$17$	1.69000	+	4.02604i	0.409886	+	0.976459i	−0.577249	+	0.816568i	$0.695874\pi$
$18$	1.34868	+	2.90021i	0.317887	+	0.683585i
$19$	1.13503	+	0.554184i	0.260395	+	0.127139i	0.564317	−	0.825558i	$-0.309140\pi$
$19$	1.13503	+	0.554184i	0.260395	+	0.127139i	−0.303922	+	0.952697i	$0.598296\pi$
$20$	0.102358	−	0.0362833i	0.0228880	−	0.00811319i
$21$	−0.0625579	−	3.30513i	−0.0136513	−	0.721239i
$22$	−2.35287	+	3.53942i	−0.501635	+	0.754607i
$23$	−2.58712	+	1.14405i	−0.539452	+	0.238550i	−0.656168	−	0.754615i	$-0.727824\pi$
$23$	−2.58712	+	1.14405i	−0.539452	+	0.238550i	0.116716	+	0.993165i	$0.462763\pi$
$24$	0.787253	−	2.36193i	0.160697	−	0.482126i
$25$	4.70156	+	1.66658i	0.940313	+	0.333316i
$26$	2.18222	+	2.22392i	0.427969	+	0.436146i
$27$	−0.303868	−	0.389608i	−0.0584794	−	0.0749801i
$28$	−0.893424	+	0.982233i	−0.168841	+	0.185625i
$29$	−5.33679	−	2.35997i	−0.991017	−	0.438236i	−0.155581	−	0.987823i	$-0.549725\pi$
$29$	−5.33679	−	2.35997i	−0.991017	−	0.438236i	−0.835436	+	0.549587i	$0.814785\pi$
$30$	−0.227956	+	0.145392i	−0.0416188	+	0.0265449i
$31$	−2.55175	+	1.01478i	−0.458308	+	0.182260i	−0.587273	−	0.809389i	$-0.699798\pi$
$31$	−2.55175	+	1.01478i	−0.458308	+	0.182260i	0.128965	+	0.991649i	$0.458835\pi$
$32$	−0.881363	+	0.472440i	−0.155804	+	0.0835163i
$33$	3.72339	−	9.90466i	0.648160	−	1.72418i
$34$	−0.576751	+	4.32810i	−0.0989120	+	0.742264i
$35$	0.142545	−	0.0217481i	0.0240945	−	0.00367609i
$36$	−0.302207	+	3.18415i	−0.0503678	+	0.530691i
$37$	−1.26543	+	0.876188i	−0.208036	+	0.144044i	−0.668706	−	0.743527i	$-0.733151\pi$
$37$	−1.26543	+	0.876188i	−0.208036	+	0.144044i	0.460670	+	0.887572i	$0.347609\pi$
$38$	0.699255	+	1.05189i	0.113434	+	0.170639i
$39$	−6.54015	−	4.17137i	−1.04726	−	0.667954i
$40$	0.106660	+	0.0204301i	0.0168644	+	0.00323029i
$41$	3.57104	−	3.37384i	0.557703	−	0.526905i	−0.355357	−	0.934731i	$-0.615641\pi$
$41$	3.57104	−	3.37384i	0.557703	−	0.526905i	0.913060	+	0.407826i	$0.133713\pi$
$42$	1.61661	−	2.88347i	0.249449	−	0.444928i
$43$	−8.28052	−	6.71409i	−1.26277	−	1.02389i	−0.998227	−	0.0595146i	$-0.981045\pi$
$43$	−8.28052	−	6.71409i	−1.26277	−	1.02389i	−0.264541	−	0.964375i	$-0.585220\pi$
$44$	−3.81920	+	1.86474i	−0.575766	+	0.281120i
$45$	0.243277	−	0.247926i	0.0362656	−	0.0369586i
$46$	−2.81057	−	0.320523i	−0.414396	−	0.0472586i
$47$	6.32233	+	3.38898i	0.922207	+	0.494333i	0.863730	−	0.503955i	$-0.168122\pi$
$47$	6.32233	+	3.38898i	0.922207	+	0.494333i	0.0584774	+	0.998289i	$0.481375\pi$
$48$	1.87313	−	1.64008i	0.270363	−	0.236725i
$49$	4.18974	−	3.14203i	0.598535	−	0.448861i
$50$	3.21439	+	3.81444i	0.454583	+	0.539443i
$51$	−1.02713	−	10.8222i	−0.143827	−	1.51541i
$52$	0.758853	+	3.02193i	0.105234	+	0.419066i
$53$	0.471368	+	1.61561i	0.0647474	+	0.221921i	0.985916	−	0.167243i	$-0.0534866\pi$
$53$	0.471368	+	1.61561i	0.0647474	+	0.221921i	−0.921168	+	0.389165i	$0.872764\pi$
$54$	−0.0652648	−	0.489766i	−0.00888142	−	0.0666487i
$55$	0.449706	+	0.103922i	0.0606384	+	0.0140129i
$56$	−1.26737	+	0.395940i	−0.169359	+	0.0529097i
$57$	−2.28586	−	2.15963i	−0.302770	−	0.286050i
$58$	−3.41201	−	4.73381i	−0.448019	−	0.621580i
$59$	2.40975	−	5.74067i	0.313722	−	0.747372i	−0.686081	−	0.727525i	$-0.740670\pi$
$59$	2.40975	−	5.74067i	0.313722	−	0.747372i	0.999803	−	0.0198461i	$-0.00631763\pi$
$60$	−0.270181	+	0.0102314i	−0.0348803	+	0.00132087i
$61$	2.45757	−	9.78660i	0.314659	−	1.25305i	−0.583042	−	0.812442i	$-0.698138\pi$
$61$	2.45757	−	9.78660i	0.314659	−	1.25305i	0.897702	−	0.440604i	$-0.145236\pi$
$62$	−2.71471	−	0.414182i	−0.344769	−	0.0526012i
$63$	−1.18946	+	4.07686i	−0.149858	+	0.513636i
$64$	−0.999284	−	0.0378415i	−0.124910	−	0.00473018i
$65$	0.142677	−	0.306814i	0.0176969	−	0.0380556i
$66$	8.21909	−	6.66428i	1.01170	−	0.820316i
$67$	1.31550	+	7.64853i	0.160714	+	0.934416i	0.948104	+	0.317961i	$0.102998\pi$
$67$	1.31550	+	7.64853i	0.160714	+	0.934416i	−0.787390	+	0.616455i	$0.788568\pi$
$68$	−2.68531	+	3.44300i	−0.325641	+	0.417525i
$69$	6.99739	−	0.797997i	0.842387	−	0.0960676i
$70$	0.133988	+	0.0532845i	0.0160147	+	0.00636872i
$71$	−2.02693	+	0.388248i	−0.240552	+	0.0460766i	−0.306985	−	0.951714i	$-0.599320\pi$
$71$	−2.02693	+	0.388248i	−0.240552	+	0.0460766i	0.0664327	+	0.997791i	$0.478838\pi$
$72$	−1.87020	+	2.59470i	−0.220405	+	0.305789i
$73$	−3.96489	−	6.48387i	−0.464055	−	0.758880i	0.532082	−	0.846693i	$-0.321410\pi$
$73$	−3.96489	−	6.48387i	−0.464055	−	0.758880i	−0.996137	+	0.0878129i	$0.972012\pi$
$74$	−1.53476	+	0.116405i	−0.178412	+	0.0135318i
$75$	−9.93551	−	7.45097i	−1.14725	−	0.860364i
$76$	0.0716750	+	1.26107i	0.00822169	+	0.144654i
$77$	−5.44629	+	1.47776i	−0.620662	+	0.168406i
$78$	−3.53476	−	6.90503i	−0.400233	−	0.781840i
$79$	−6.21681	−	0.471520i	−0.699446	−	0.0530501i	−0.278898	−	0.960321i	$-0.589969\pi$
$79$	−6.21681	−	0.471520i	−0.699446	−	0.0530501i	−0.420548	+	0.907270i	$0.638162\pi$
$80$	0.0817053	+	0.0715397i	0.00913493	+	0.00799838i
$81$	−2.94357	−	7.83024i	−0.327063	−	0.870027i
$82$	4.78660	−	1.10613i	0.528592	−	0.122152i
$83$	−5.95867	+	3.49054i	−0.654049	+	0.383137i	−0.794769	−	0.606912i	$-0.792408\pi$
$83$	−5.95867	+	3.49054i	−0.654049	+	0.383137i	0.140719	+	0.990050i	$0.455058\pi$
$84$	2.85236	−	1.67089i	0.311218	−	0.182309i
$85$	0.462006	−	0.106765i	0.0501116	−	0.0115803i
$86$	−3.75122	−	9.97870i	−0.404505	−	1.07603i
$87$	10.9303	+	9.57035i	1.17185	+	1.02605i
$88$	−4.23795	−	0.321431i	−0.451767	−	0.0342647i
$89$	3.80430	+	7.43155i	0.403255	+	0.787743i	0.999891	−	0.0147690i	$-0.00470130\pi$
$89$	3.80430	+	7.43155i	0.403255	+	0.787743i	−0.596636	+	0.802512i	$0.703496\pi$
$90$	0.335228	−	0.0909582i	0.0353361	−	0.00958784i
$91$	0.234756	+	4.13035i	0.0246091	+	0.432978i
$92$	−2.26310	−	1.69718i	−0.235945	−	0.176943i
$93$	6.81737	−	0.517070i	0.706928	−	0.0536176i
$94$	3.74228	+	6.11984i	0.385987	+	0.631213i
$95$	0.0802066	−	0.111278i	0.00822902	−	0.0114169i
$96$	2.44522	−	0.468369i	0.249564	−	0.0478027i
$97$	9.83509	+	3.91122i	0.998602	+	0.397124i	0.810953	−	0.585112i	$-0.198949\pi$
$97$	9.83509	+	3.91122i	0.998602	+	0.397124i	0.187649	+	0.982236i	$0.439913\pi$
$98$	5.20329	−	0.593394i	0.525611	−	0.0599418i
$99$	−8.36019	+	10.7191i	−0.840230	+	1.07731i
$100$	0.845526	+	4.91602i	0.0845526	+	0.491602i
$101$	1.33147	−	1.07960i	0.132487	−	0.107424i	−0.561273	−	0.827631i	$-0.689688\pi$
$101$	1.33147	−	1.07960i	0.132487	−	0.107424i	0.693759	+	0.720207i	$0.255953\pi$
$102$	4.58384	−	9.85712i	0.453868	−	0.976000i
$103$	8.94518	+	0.338741i	0.881394	+	0.0333772i	0.474660	−	0.880169i	$-0.342571\pi$
$103$	8.94518	+	0.338741i	0.881394	+	0.0333772i	0.406734	+	0.913546i	$0.366667\pi$
$104$	−0.872663	+	2.99104i	−0.0855717	+	0.293296i
$105$	−0.354891	−	0.0541455i	−0.0346338	−	0.00528406i
$106$	−0.409894	+	1.63229i	−0.0398124	+	0.158542i
$107$	−10.6370	+	0.402808i	−1.02832	+	0.0389409i	−0.546606	−	0.837390i	$-0.684081\pi$
$107$	−10.6370	+	0.402808i	−1.02832	+	0.0389409i	−0.481710	+	0.876331i	$0.659984\pi$
$108$	0.191240	−	0.455585i	0.0184020	−	0.0438386i
$109$	3.05899	+	4.24402i	0.292998	+	0.406503i	0.931860	−	0.362817i	$-0.118185\pi$
$109$	3.05899	+	4.24402i	0.292998	+	0.406503i	−0.638863	+	0.769321i	$0.720595\pi$
$110$	0.335503	+	0.316975i	0.0319889	+	0.0302224i
$111$	3.65767	−	1.14270i	0.347171	−	0.108460i
$112$	−1.29368	−	0.298957i	−0.122241	−	0.0282487i
$113$	1.89014	+	14.1841i	0.177809	+	1.33433i	0.822010	+	0.569473i	$0.192853\pi$
$113$	1.89014	+	14.1841i	0.177809	+	1.33433i	−0.644201	+	0.764857i	$0.722810\pi$
$114$	−0.880773	−	3.01884i	−0.0824920	−	0.282740i
$115$	0.0748204	+	0.297952i	0.00697704	+	0.0277842i
$116$	−0.551350	−	5.80920i	−0.0511915	−	0.539371i
$117$	6.42180	+	7.62060i	0.593695	+	0.704525i
$118$	4.98090	−	3.73535i	0.458529	−	0.343866i
$119$	−4.36184	+	3.81915i	−0.399849	+	0.350101i
$120$	−0.238299	−	0.127736i	−0.0217536	−	0.0116606i
$121$	−7.01804	−	0.800352i	−0.638004	−	0.0727593i
$122$	7.06719	−	7.20222i	0.639833	−	0.652058i
$123$	−10.9910	+	5.36639i	−0.991025	+	0.483871i
$124$	−2.13305	−	1.72954i	−0.191554	−	0.155317i
$125$	0.530458	−	0.946151i	0.0474456	−	0.0846263i
$126$	−3.08699	+	2.91652i	−0.275011	+	0.259824i
$127$	10.1042	+	1.93540i	0.896601	+	0.171739i	0.615684	−	0.787993i	$-0.288880\pi$
$127$	10.1042	+	1.93540i	0.896601	+	0.171739i	0.280916	+	0.959732i	$0.409362\pi$
$128$	−0.843109	−	0.537743i	−0.0745210	−	0.0475302i
$129$	14.6932	+	22.1029i	1.29366	+	1.94606i
$130$	0.278190	−	0.192619i	0.0243989	−	0.0168938i
$131$	0.342002	−	3.60345i	0.0298809	−	0.314835i	−0.968061	−	0.250714i	$-0.919335\pi$
$131$	0.342002	−	3.60345i	0.0298809	−	0.314835i	0.997942	−	0.0641210i	$-0.0204243\pi$
$132$	10.4604	−	1.59593i	0.910457	−	0.138908i
$133$	−0.221529	+	1.66242i	−0.0192090	+	0.144150i
$134$	−2.73089	+	7.26449i	−0.235913	+	0.627556i
$135$	−0.0472923	+	0.0253502i	−0.00407027	+	0.00218180i
$136$	−4.05730	+	1.61351i	−0.347911	+	0.138357i
$137$	−3.84161	+	2.45021i	−0.328211	+	0.209336i	−0.691563	−	0.722316i	$-0.743078\pi$
$137$	−3.84161	+	2.45021i	−0.328211	+	0.209336i	0.363353	+	0.931652i	$0.381632\pi$
$138$	6.44108	+	2.84830i	0.548301	+	0.242463i
$139$	12.0535	−	13.2516i	1.02236	−	1.12399i	0.0301339	−	0.999546i	$-0.490407\pi$
$139$	12.0535	−	13.2516i	1.02236	−	1.12399i	0.992227	−	0.124441i	$-0.0397139\pi$
$140$	0.0886795	+	0.113702i	0.00749479	+	0.00960954i
$141$	−12.5084	−	12.7474i	−1.05339	−	1.07352i
$142$	−1.94519	−	0.689517i	−0.163236	−	0.0578630i
$143$	−4.18732	+	12.5628i	−0.350161	+	1.05056i
$144$	−2.92521	+	1.29355i	−0.243768	+	0.107796i
$145$	−0.350821	+	0.527739i	−0.0291341	+	0.0438264i
$146$	−0.143825	−	7.59870i	−0.0119030	−	0.628873i
$147$	−12.2892	+	4.35619i	−1.01360	+	0.359293i
$148$	−1.38311	−	0.675307i	−0.113691	−	0.0555099i
$149$	−0.641934	−	1.38042i	−0.0525893	−	0.113088i	0.878692	−	0.477389i	$-0.158417\pi$
$149$	−0.641934	−	1.38042i	−0.0525893	−	0.113088i	−0.931282	+	0.364300i	$0.881308\pi$
$150$	−4.80677	−	11.4510i	−0.392471	−	0.934973i
$151$	7.66383	−	12.5328i	0.623673	−	1.01991i	−0.372111	−	0.928188i	$-0.621366\pi$
$151$	7.66383	−	12.5328i	0.623673	−	1.01991i	0.995785	−	0.0917195i	$-0.0292363\pi$
$152$	−0.575565	+	1.12434i	−0.0466845	+	0.0911963i
$153$	−2.88638	+	13.6641i	−0.233350	+	1.10468i
$154$	−5.44629	−	1.47776i	−0.438874	−	0.119081i
$155$	0.0616365	+	0.291787i	0.00495076	+	0.0234369i
$156$	0.440184	−	7.74469i	0.0352429	−	0.620071i
$157$	5.13015	−	6.08782i	0.409430	−	0.485861i	−0.520362	−	0.853946i	$-0.674203\pi$
$157$	5.13015	−	6.08782i	0.409430	−	0.485861i	0.929792	+	0.368084i	$0.119986\pi$
$158$	−5.12587	−	3.54916i	−0.407792	−	0.282356i
$159$	0.0792928	−	4.18929i	0.00628833	−	0.332232i
$160$	0.0343397	+	0.103027i	0.00271480	+	0.00814496i
$161$	−2.52730	−	2.77853i	−0.199180	−	0.218979i
$162$	1.41795	−	8.24419i	0.111405	−	0.647725i
$163$	−10.1058	−	18.0252i	−0.791549	−	1.41185i	−0.908141	−	0.418665i	$-0.862498\pi$
$163$	−10.1058	−	18.0252i	−0.791549	−	1.41185i	0.116592	−	0.993180i	$-0.462803\pi$
$164$	4.68924	+	1.46497i	0.366168	+	0.114395i
$165$	−0.991529	−	0.580830i	−0.0771904	−	0.0452175i
$166$	−6.90577			−0.535992
$167$	−5.66051	+	11.6172i	−0.438023	+	0.898964i
$167$	−5.66051	+	11.6172i	−0.438023	+	0.898964i
$168$	3.30572			0.255042
$169$	−2.84061	−	1.66401i	−0.218509	−	0.128001i
$170$	0.452608	+	0.141400i	0.0347135	+	0.0108449i
$171$	1.97569	+	3.52393i	0.151084	+	0.269481i
$172$	1.80701	−	10.5062i	0.137783	−	0.801092i
$173$	−14.6683	−	16.1264i	−1.11521	−	1.22607i	−0.971649	−	0.236429i	$-0.924023\pi$
$173$	−14.6683	−	16.1264i	−1.11521	−	1.22607i	−0.143565	−	0.989641i	$-0.545857\pi$
$174$	4.59386	+	13.7826i	0.348260	+	1.04485i
$175$	−0.125339	+	6.62203i	−0.00947471	+	0.500579i
$176$	−3.49426	−	2.41943i	−0.263390	−	0.182372i
$177$	−9.98848	+	11.8531i	−0.750780	+	0.890933i
$178$	−0.473749	+	8.33524i	−0.0355090	+	0.624752i
$179$	1.71569	+	8.12206i	0.128237	+	0.607071i	0.994253	+	0.107056i	$0.0341423\pi$
$179$	1.71569	+	8.12206i	0.128237	+	0.607071i	−0.866016	+	0.500016i	$0.833328\pi$
$180$	0.335228	+	0.0909582i	0.0249864	+	0.00677963i
$181$	−0.225309	+	1.06661i	−0.0167471	+	0.0792806i	−0.985979	−	0.166867i	$-0.946635\pi$
$181$	−0.225309	+	1.06661i	−0.0167471	+	0.0792806i	0.969232	+	0.246148i	$0.0791649\pi$
$182$	−1.88514	+	3.68255i	−0.139736	+	0.272968i
$183$	−13.1059	+	21.4323i	−0.968814	+	1.58432i
$184$	−1.09488	−	2.60831i	−0.0807158	−	0.192287i
$185$	0.0704818	+	0.151565i	0.00518193	+	0.0111433i
$186$	6.14375	+	2.99970i	0.450481	+	0.219949i
$187$	−17.4912	+	6.20016i	−1.27908	+	0.453401i
$188$	0.135750	+	7.17207i	0.00990055	+	0.523077i
$189$	0.363189	−	0.546344i	0.0264181	−	0.0397407i
$190$	0.125452	−	0.0554761i	0.00910128	−	0.00402466i
$191$	7.31258	−	21.9393i	0.529120	−	1.58747i	−0.255052	−	0.966927i	$-0.582093\pi$
$191$	7.31258	−	21.9393i	0.529120	−	1.58747i	0.784172	−	0.620544i	$-0.213088\pi$
$192$	2.34660	+	0.831809i	0.169352	+	0.0600307i
$193$	18.7222	+	19.0800i	1.34766	+	1.37341i	0.868511	+	0.495671i	$0.165078\pi$
$193$	18.7222	+	19.0800i	1.34766	+	1.37341i	0.479146	+	0.877735i	$0.340946\pi$
$194$	6.50931	+	8.34599i	0.467341	+	0.599207i
$195$	−0.566842	+	0.623188i	−0.0405924	+	0.0446274i
$196$	4.78961	+	2.11801i	0.342115	+	0.151286i
$197$	−4.72338	+	3.01262i	−0.336527	+	0.214640i	−0.695188	−	0.718828i	$-0.744679\pi$
$197$	−4.72338	+	3.01262i	−0.336527	+	0.214640i	0.358661	+	0.933468i	$0.383233\pi$
$198$	−12.6316	+	5.02335i	−0.897691	+	0.356994i
$199$	23.4312	−	12.5599i	1.66100	−	0.890348i	0.672323	−	0.740258i	$-0.265297\pi$
$199$	23.4312	−	12.5599i	1.66100	−	0.890348i	0.988672	−	0.150090i	$-0.0479563\pi$
$200$	−1.75526	+	4.66918i	−0.124115	+	0.330161i
$201$	2.55222	−	19.1526i	0.180020	−	1.35092i
$202$	1.69456	−	0.258538i	0.119228	−	0.0181906i
$203$	0.732069	−	7.71331i	0.0513811	−	0.541369i
$204$	8.93750	−	6.18834i	0.625750	−	0.433270i
$205$	−0.295357	−	0.444304i	−0.0206286	−	0.0310315i
$206$	7.54716	+	4.81365i	0.525836	+	0.335383i
$207$	−8.88621	−	1.70211i	−0.617634	−	0.118305i
$208$	−2.26481	+	2.13974i	−0.157037	+	0.148365i
$209$	−2.62530	+	4.68261i	−0.181596	+	0.323903i
$210$	−0.278851	−	0.226100i	−0.0192425	−	0.0156024i
$211$	10.3567	−	5.05667i	0.712982	−	0.348116i	−0.0462554	−	0.998930i	$-0.514729\pi$
$211$	10.3567	−	5.05667i	0.712982	−	0.348116i	0.759237	+	0.650814i	$0.225572\pi$
$212$	−1.17872	+	1.20125i	−0.0809552	+	0.0825019i
$213$	5.10504	+	0.582189i	0.349791	+	0.0398910i
$214$	−9.38177	−	5.02894i	−0.641325	−	0.343771i
$215$	−0.871019	+	0.762648i	−0.0594030	+	0.0520122i
$216$	0.395289	−	0.296440i	0.0268960	−	0.0201702i
$217$	−2.34963	−	2.78825i	−0.159503	−	0.189278i
$218$	0.494304	+	5.20814i	0.0334785	+	0.352740i
$219$	4.60844	+	18.3519i	0.311410	+	1.24010i
$220$	0.129274	+	0.443085i	0.00871563	+	0.0298728i
$221$	1.79701	+	13.4853i	0.120880	+	0.907118i
$222$	3.73361	+	0.862800i	0.250584	+	0.0579073i
$223$	−0.513391	+	0.160389i	−0.0343792	+	0.0107405i	−0.315339	−	0.948979i	$-0.602118\pi$
$223$	−0.513391	+	0.160389i	−0.0343792	+	0.0107405i	0.280960	+	0.959719i	$0.409347\pi$
$224$	−0.965150	−	0.911852i	−0.0644868	−	0.0609256i
$225$	9.32894	+	12.9429i	0.621929	+	0.862861i
$226$	−5.53850	+	13.1942i	−0.368415	+	0.877665i
$227$	22.8991	−	0.867159i	1.51987	−	0.0575553i	0.735362	−	0.677675i	$-0.237012\pi$
$227$	22.8991	−	0.867159i	1.51987	−	0.0575553i	0.784508	+	0.620119i	$0.212916\pi$
$228$	0.765905	−	3.05001i	0.0507233	−	0.201992i
$229$	−23.9246	−	3.65017i	−1.58098	−	0.241210i	−0.699924	−	0.714217i	$-0.746783\pi$
$229$	−23.9246	−	3.65017i	−1.58098	−	0.241210i	−0.881059	+	0.473007i	$0.843168\pi$
$230$	−0.0860417	+	0.294907i	−0.00567342	+	0.0194456i
$231$	14.0397	+	0.531662i	0.923742	+	0.0349808i
$232$	2.46055	−	5.29117i	0.161543	−	0.347383i
$233$	1.55139	−	1.25791i	0.101635	−	0.0824087i	−0.577644	−	0.816289i	$-0.696028\pi$
$233$	1.55139	−	1.25791i	0.101635	−	0.0824087i	0.679279	+	0.733880i	$0.262293\pi$
$234$	1.68922	+	9.82138i	0.110428	+	0.642044i
$235$	0.479095	−	0.614277i	0.0312527	−	0.0400710i
$236$	6.18583	−	0.705445i	0.402663	−	0.0459206i
$237$	14.4236	+	5.73597i	0.936911	+	0.372591i
$238$	−5.69403	+	1.09066i	−0.369089	+	0.0706972i
$239$	4.96555	−	6.88918i	0.321195	−	0.445624i	−0.619440	−	0.785044i	$-0.712640\pi$
$239$	4.96555	−	6.88918i	0.321195	−	0.445624i	0.940635	+	0.339420i	$0.110231\pi$
$240$	−0.141052	−	0.230666i	−0.00910489	−	0.0148894i
$241$	4.64941	−	0.352639i	0.299495	−	0.0227155i	0.0749763	−	0.997185i	$-0.476112\pi$
$241$	4.64941	−	0.352639i	0.299495	−	0.0227155i	0.224518	+	0.974470i	$0.427919\pi$
$242$	−5.65101	−	4.23788i	−0.363260	−	0.272421i
$243$	1.26593	+	22.2730i	0.0812094	+	1.42882i
$244$	9.73834	−	2.64233i	0.623433	−	0.169158i
$245$	−0.259158	−	0.506255i	−0.0165570	−	0.0323435i
$246$	−12.1961	−	0.925024i	−0.777594	−	0.0589774i
$247$	2.96091	+	2.59252i	0.188398	+	0.164958i
$248$	−0.966309	−	2.57050i	−0.0613607	−	0.163227i
$249$	16.7516	−	3.87113i	1.06159	−	0.245323i
$250$	0.935943	−	0.548268i	0.0591943	−	0.0346755i
$251$	14.0571	−	8.23454i	0.887276	−	0.519760i	0.0101112	−	0.999949i	$-0.496781\pi$
$251$	14.0571	−	8.23454i	0.887276	−	0.519760i	0.877165	+	0.480189i	$0.159432\pi$
$252$	−4.13779	+	0.956200i	−0.260656	+	0.0602349i
$253$	−4.23055	−	11.2538i	−0.265973	−	0.707519i
$254$	7.74017	+	6.77716i	0.485662	+	0.425237i
$255$	−1.17717	−	0.0892839i	−0.0737175	−	0.00559118i
$256$	−0.455676	−	0.890146i	−0.0284797	−	0.0556341i
$257$	−16.4360	+	4.45961i	−1.02525	+	0.278183i	−0.734494	−	0.678615i	$-0.762580\pi$
$257$	−16.4360	+	4.45961i	−1.02525	+	0.278183i	−0.290753	+	0.956798i	$0.593906\pi$
$258$	1.50608	+	26.4983i	0.0937646	+	1.64971i
$259$	−1.63498	−	1.22613i	−0.101593	−	0.0761879i
$260$	0.337397	−	0.0255902i	0.0209245	−	0.00158704i
$261$	−9.73684	−	15.9229i	−0.602695	−	0.985602i
$262$	2.11647	−	2.93638i	0.130756	−	0.181410i
$263$	15.9258	−	3.05050i	0.982026	−	0.188102i	0.328085	−	0.944648i	$-0.393597\pi$
$263$	15.9258	−	3.05050i	0.982026	−	0.188102i	0.653940	+	0.756546i	$0.273115\pi$
$264$	9.83243	+	3.91016i	0.605144	+	0.240654i
$265$	0.181591	−	0.0207091i	0.0111551	−	0.00127215i
$266$	−1.03142	+	1.32245i	−0.0632406	+	0.0810848i
$267$	−3.52324	−	20.4847i	−0.215619	−	1.25364i
$268$	−6.02822	+	4.88785i	−0.368232	+	0.298573i
$269$	−12.9942	+	27.9428i	−0.792270	+	1.70370i	−0.0854137	+	0.996346i	$0.527221\pi$
$269$	−12.9942	+	27.9428i	−0.792270	+	1.70370i	−0.706856	+	0.707357i	$0.749887\pi$
$270$	−0.0536197	−	0.00203050i	−0.00326319	−	0.000123572i
$271$	0.554884	−	1.90186i	0.0337068	−	0.115530i	−0.941383	−	0.337339i	$-0.890473\pi$
$271$	0.554884	−	1.90186i	0.0337068	−	0.115530i	0.975090	+	0.221809i	$0.0711961\pi$
$272$	−4.31641	−	0.658554i	−0.261721	−	0.0399307i
$273$	2.50856	−	9.98965i	0.151825	−	0.604601i
$274$	−4.55321	+	0.172424i	−0.275070	+	0.0104165i
$275$	−8.20565	+	19.5481i	−0.494820	+	1.17879i
$276$	4.11803	+	5.71333i	0.247876	+	0.343902i
$277$	6.63441	+	6.26803i	0.398623	+	0.376610i	0.859742	−	0.510728i	$-0.170624\pi$
$277$	6.63441	+	6.26803i	0.398623	+	0.376610i	−0.461119	+	0.887338i	$0.652552\pi$
$278$	17.0984	−	5.34175i	1.02550	−	0.320377i
$279$	−8.55783	−	1.97763i	−0.512344	−	0.118397i
$280$	0.0190466	+	0.142931i	0.00113825	+	0.00854178i
$281$	−5.48053	−	18.7845i	−0.326941	−	1.12059i	−0.942974	−	0.332867i	$-0.891984\pi$
$281$	−5.48053	−	18.7845i	−0.326941	−	1.12059i	0.616032	−	0.787721i	$-0.288739\pi$
$282$	−4.34970	−	17.3215i	−0.259021	−	1.03148i
$283$	−1.06747	−	11.2472i	−0.0634544	−	0.668576i	−0.969450	−	0.245289i	$-0.921117\pi$
$283$	−1.06747	−	11.2472i	−0.0634544	−	0.668576i	0.905996	−	0.423287i	$-0.139124\pi$
$284$	−1.32989	−	1.57815i	−0.0789146	−	0.0936461i
$285$	−0.273217	+	0.204895i	−0.0161840	+	0.0121369i
$286$	−9.96298	+	8.72341i	−0.589123	+	0.515826i
$287$	5.74915	+	3.08174i	0.339362	+	0.181909i
$288$	−3.17786	−	0.362410i	−0.187257	−	0.0213552i
$289$	−1.44638	+	1.47401i	−0.0850810	+	0.0867066i
$290$	−0.569455	+	0.278038i	−0.0334396	+	0.0163270i
$291$	−20.4684	−	16.5963i	−1.19988	−	0.972895i
$292$	3.71669	−	6.62927i	0.217503	−	0.387948i
$293$	−1.57510	+	1.48812i	−0.0920182	+	0.0869367i	−0.731383	−	0.681967i	$-0.761125\pi$
$293$	−1.57510	+	1.48812i	−0.0920182	+	0.0869367i	0.639365	+	0.768903i	$0.279197\pi$
$294$	−12.8056	−	2.45285i	−0.746840	−	0.143053i
$295$	−0.570049	−	0.363583i	−0.0331896	−	0.0211686i
$296$	−0.852084	−	1.28179i	−0.0495264	−	0.0745024i
$297$	1.72650	−	1.19543i	0.100182	−	0.0693659i
$298$	0.143842	−	1.51557i	0.00833256	−	0.0877945i
$299$	−8.71296	+	1.32933i	−0.503884	+	0.0768773i
$300$	1.64042	−	12.3102i	0.0947097	−	0.710728i
$301$	4.98078	−	13.2495i	0.287088	−	0.763687i
$302$	12.9475	−	6.94030i	0.745046	−	0.399369i
$303$	−3.96563	+	1.57705i	−0.227819	+	0.0905993i
$304$	−1.06493	+	0.679224i	−0.0610780	+	0.0389561i
$305$	−1.00219	−	0.443179i	−0.0573854	−	0.0253763i
$306$	−9.39709	+	10.3312i	−0.537196	+	0.590595i
$307$	−5.91338	−	7.58192i	−0.337495	−	0.432723i	0.589517	−	0.807756i	$-0.299318\pi$
$307$	−5.91338	−	7.58192i	−0.337495	−	0.432723i	−0.927011	+	0.375033i	$0.877631\pi$
$308$	−3.95241	−	4.02793i	−0.225210	−	0.229513i
$309$	−21.0058	−	7.44601i	−1.19498	−	0.423589i
$310$	−0.0943013	+	0.282924i	−0.00535595	+	0.0160690i
$311$	−17.7468	+	7.84777i	−1.00633	+	0.445006i	−0.840885	−	0.541213i	$-0.817965\pi$
$311$	−17.7468	+	7.84777i	−1.00633	+	0.445006i	−0.165442	+	0.986220i	$0.552905\pi$
$312$	4.29439	−	6.46004i	0.243122	−	0.365728i
$313$	−0.468486	−	24.7516i	−0.0264804	−	1.39904i	−0.727602	−	0.685999i	$-0.759365\pi$
$313$	−0.468486	−	24.7516i	−0.0264804	−	1.39904i	0.701122	−	0.713042i	$-0.252683\pi$
$314$	7.50368	−	2.65986i	0.423457	−	0.150104i
$315$	0.414439	+	0.202351i	0.0233510	+	0.0114012i
$316$	−2.62894	−	5.65329i	−0.147890	−	0.318023i
$317$	−6.32957	−	15.0787i	−0.355504	−	0.846907i	−0.996824	−	0.0796334i	$-0.974625\pi$
$317$	−6.32957	−	15.0787i	−0.355504	−	0.846907i	0.641320	−	0.767273i	$-0.278387\pi$
$318$	2.18591	−	3.57467i	0.122580	−	0.200457i
$319$	11.3011	−	22.0763i	0.632741	−	1.23604i
$320$	−0.0224449	+	0.106254i	−0.00125471	+	0.00593978i
$321$	25.5768	+	6.93982i	1.42756	+	0.387343i
$322$	−0.776279	−	3.67490i	−0.0432603	−	0.204794i
$323$	−0.312959	+	5.50627i	−0.0174135	+	0.306377i
$324$	5.39054	−	6.39682i	0.299474	−	0.355379i
$325$	12.7779	+	8.84747i	0.708793	+	0.490769i
$326$	0.391065	−	20.6612i	0.0216591	−	1.14432i
$327$	−4.11855	−	12.3565i	−0.227756	−	0.683317i
$328$	3.30565	+	3.63425i	0.182524	+	0.200668i
$329$	−1.61447	+	9.38678i	−0.0890085	+	0.517510i
$330$	−0.561962	−	1.00234i	−0.0309350	−	0.0551771i
$331$	−12.1062	−	3.78212i	−0.665419	−	0.207884i	−0.0532134	−	0.998583i	$-0.516946\pi$
$331$	−12.1062	−	3.78212i	−0.665419	−	0.207884i	−0.612205	+	0.790699i	$0.709717\pi$
$332$	−5.95867	−	3.49054i	−0.327025	−	0.191569i
$333$	−4.92295			−0.269776
$334$	−10.7561	+	7.16280i	−0.588549	+	0.391931i
$335$	0.842816			0.0460480
$336$	2.85236	+	1.67089i	0.155609	+	0.0911545i
$337$	−21.9541	−	6.85871i	−1.19592	−	0.373618i	−0.365527	−	0.930801i	$-0.619111\pi$
$337$	−21.9541	−	6.85871i	−1.19592	−	0.373618i	−0.830390	+	0.557183i	$0.811882\pi$
$338$	−1.60995	−	2.87159i	−0.0875699	−	0.156194i
$339$	6.03877	−	35.1104i	0.327981	−	1.90694i
$340$	0.319064	+	0.350780i	0.0173037	+	0.0190237i
$341$	−3.69058	−	11.0725i	−0.199856	−	0.599610i
$342$	−0.0764530	+	4.03925i	−0.00413411	+	0.218418i
$343$	13.3584	+	9.24938i	0.721286	+	0.499419i
$344$	6.86959	−	8.15198i	0.370383	−	0.439525i
$345$	0.0434007	−	0.763601i	0.00233661	−	0.0411109i
$346$	−4.50548	−	21.3289i	−0.242216	−	1.14665i
$347$	4.19353	+	1.13784i	0.225120	+	0.0610825i	0.372638	−	0.927977i	$-0.378453\pi$
$347$	4.19353	+	1.13784i	0.225120	+	0.0610825i	−0.147517	+	0.989059i	$0.547128\pi$
$348$	−3.00261	+	14.2143i	−0.160957	+	0.761967i
$349$	3.24941	−	6.34760i	0.173937	−	0.339779i	−0.786815	−	0.617189i	$-0.788271\pi$
$349$	3.24941	−	6.34760i	0.173937	−	0.339779i	0.960752	+	0.277410i	$0.0894761\pi$
$350$	−3.45528	+	5.65049i	−0.184692	+	0.302032i
$351$	−0.595855	−	1.41949i	−0.0318044	−	0.0757666i
$352$	−1.79213	−	3.85380i	−0.0955207	−	0.205408i
$353$	25.2728	+	12.3395i	1.34513	+	0.656766i	0.963540	−	0.267565i	$-0.0862189\pi$
$353$	25.2728	+	12.3395i	1.34513	+	0.656766i	0.381593	+	0.924330i	$0.375376\pi$
$354$	−14.6098	+	5.17878i	−0.776501	+	0.275249i
$355$	0.00424135	+	0.224084i	0.000225107	+	0.0118931i
$356$	−4.62185	+	6.95263i	−0.244957	+	0.368489i
$357$	13.2009	−	5.83754i	0.698664	−	0.308955i
$358$	−2.62493	+	7.87536i	−0.138732	+	0.416225i
$359$	−9.76926	−	3.46295i	−0.515602	−	0.182767i	0.0635627	−	0.997978i	$-0.479754\pi$
$359$	−9.76926	−	3.46295i	−0.515602	−	0.182767i	−0.579165	+	0.815211i	$0.696621\pi$
$360$	0.243277	+	0.247926i	0.0128218	+	0.0130668i
$361$	−10.7038	−	13.7240i	−0.563357	−	0.722316i
$362$	−0.733531	+	0.806447i	−0.0385536	+	0.0423859i
$363$	16.0835	+	7.11225i	0.844164	+	0.373297i
$364$	−3.48795	+	2.22465i	−0.182818	+	0.116603i
$365$	−0.766937	+	0.304996i	−0.0401433	+	0.0159642i
$366$	−22.1415	+	11.8686i	−1.15735	+	0.620380i
$367$	−3.44040	+	9.15186i	−0.179587	+	0.477723i	−0.994849	−	0.101370i	$-0.967677\pi$
$367$	−3.44040	+	9.15186i	−0.179587	+	0.477723i	0.815262	+	0.579093i	$0.196593\pi$
$368$	0.373653	−	2.80400i	0.0194780	−	0.146169i
$369$	15.5335	−	2.36994i	0.808640	−	0.123374i
$370$	−0.0157933	+	0.166403i	−0.000821055	+	0.00865090i
$371$	−1.83719	+	1.27208i	−0.0953824	+	0.0660429i
$372$	3.78495	+	5.69368i	0.196240	+	0.295204i
$373$	22.8015	+	14.5430i	1.18062	+	0.753008i	0.974251	−	0.225467i	$-0.0723909\pi$
$373$	22.8015	+	14.5430i	1.18062	+	0.753008i	0.206365	+	0.978475i	$0.433837\pi$
$374$	−18.2262	−	3.49114i	−0.942456	−	0.180523i
$375$	−1.96302	+	1.85461i	−0.101370	+	0.0957719i
$376$	−3.50802	+	6.25707i	−0.180912	+	0.322684i
$377$	−14.1223	−	11.4508i	−0.727338	−	0.589746i
$378$	0.589530	−	0.287840i	0.0303222	−	0.0148049i
$379$	−16.2846	+	16.5957i	−0.836481	+	0.852464i	−0.990769	−	0.135562i	$-0.956716\pi$
$379$	−16.2846	+	16.5957i	−0.836481	+	0.852464i	0.154288	+	0.988026i	$0.450692\pi$
$380$	0.136288	+	0.0155425i	0.00699141	+	0.000797316i
$381$	−22.5747	−	12.1008i	−1.15654	−	0.619942i
$382$	17.3990	−	15.2342i	0.890209	−	0.779451i
$383$	−3.76917	+	2.82663i	−0.192595	+	0.144434i	−0.691902	−	0.721992i	$-0.743227\pi$
$383$	−3.76917	+	2.82663i	−0.192595	+	0.144434i	0.499306	+	0.866426i	$0.333588\pi$
$384$	1.60434	+	1.90383i	0.0818709	+	0.0971544i
$385$	0.0579048	+	0.610103i	0.00295110	+	0.0310938i
$386$	6.51053	+	25.9264i	0.331377	+	1.31962i
$387$	−9.54997	−	32.7324i	−0.485452	−	1.66388i
$388$	1.39807	+	10.4915i	0.0709763	+	0.532626i
$389$	−22.7378	−	5.25447i	−1.15285	−	0.266412i	−0.394901	−	0.918724i	$-0.629221\pi$
$389$	−22.7378	−	5.25447i	−1.15285	−	0.266412i	−0.757951	+	0.652312i	$0.773799\pi$
$390$	−0.804094	+	0.251208i	−0.0407169	+	0.0127204i
$391$	−8.97822	−	8.48241i	−0.454048	−	0.428974i
$392$	3.06218	+	4.24845i	0.154663	+	0.214579i
$393$	−3.48799	+	8.30933i	−0.175946	+	0.419150i
$394$	−5.59833	+	0.212001i	−0.282040	+	0.0106805i
$395$	−0.164905	+	0.656688i	−0.00829725	+	0.0330416i
$396$	−13.4383	−	2.05028i	−0.675301	−	0.103030i
$397$	8.39927	−	28.7884i	0.421547	−	1.44485i	−0.421411	−	0.906870i	$-0.638465\pi$
$397$	8.39927	−	28.7884i	0.421547	−	1.44485i	0.842958	−	0.537979i	$-0.180812\pi$
$398$	26.5662	+	1.00602i	1.33164	+	0.0504274i
$399$	1.76065	−	3.78611i	0.0881426	−	0.189542i
$400$	−3.87458	+	3.14162i	−0.193729	+	0.157081i
$401$	4.35860	+	25.3416i	0.217658	+	1.26550i	0.864406	+	0.502795i	$0.167695\pi$
$401$	4.35860	+	25.3416i	0.217658	+	1.26550i	−0.646748	+	0.762704i	$0.723871\pi$
$402$	11.8829	−	15.2359i	0.592667	−	0.759896i
$403$	−8.50113	+	0.969487i	−0.423472	+	0.0482936i
$404$	1.59283	+	0.633438i	0.0792464	+	0.0315147i
$405$	−0.892234	+	0.170903i	−0.0443355	+	0.00849223i
$406$	4.53039	−	6.28544i	0.224839	−	0.311941i
$407$	−3.41271	−	5.58089i	−0.169162	−	0.276634i
$408$	10.8397	−	0.822145i	0.536644	−	0.0407023i
$409$	16.0467	+	12.0340i	0.793459	+	0.595042i	0.917729	−	0.397207i	$-0.130020\pi$
$409$	16.0467	+	12.0340i	0.793459	+	0.595042i	−0.124270	+	0.992248i	$0.539659\pi$
$410$	−0.0302746	−	0.532658i	−0.00149516	−	0.0263061i
$411$	10.9483	−	2.97062i	0.540038	−	0.146530i
$412$	4.07902	+	7.96822i	0.200959	+	0.392566i
$413$	8.24296	+	0.625195i	0.405609	+	0.0307638i
$414$	−6.80716	−	5.96023i	−0.334554	−	0.292929i
$415$	0.263896	+	0.701994i	0.0129541	+	0.0344595i
$416$	−3.03574	+	0.701529i	−0.148840	+	0.0343953i
$417$	−38.4820	+	22.5425i	−1.88447	+	1.10391i
$418$	−4.63209	+	2.71344i	−0.226563	+	0.132719i
$419$	35.6545	−	8.23938i	1.74183	−	0.402520i	0.769973	−	0.638076i	$-0.220270\pi$
$419$	35.6545	−	8.23938i	1.74183	−	0.402520i	0.971861	+	0.235556i	$0.0756912\pi$
$420$	−0.126324	−	0.336038i	−0.00616400	−	0.0163970i
$421$	27.8126	+	24.3522i	1.35550	+	1.18685i	0.963758	+	0.266779i	$0.0859593\pi$
$421$	27.8126	+	24.3522i	1.35550	+	1.18685i	0.391743	+	0.920074i	$0.371872\pi$
$422$	11.4922	+	0.871637i	0.559431	+	0.0424306i
$423$	10.4549	+	20.4232i	0.508334	+	0.993011i
$424$	−1.62424	+	0.440710i	−0.0788801	+	0.0214028i
$425$	1.23593	+	21.7452i	0.0599514	+	1.05480i
$426$	4.11063	+	3.08270i	0.199161	+	0.149357i
$427$	13.3595	−	1.01326i	0.646511	−	0.0490352i
$428$	−5.55321	−	9.08129i	−0.268424	−	0.438960i
$429$	19.2776	−	26.7456i	0.930731	−	1.29129i
$430$	−1.13704	+	0.217795i	−0.0548332	+	0.0105030i
$431$	25.9995	+	10.3395i	1.25235	+	0.498035i	0.899203	−	0.437532i	$-0.144147\pi$
$431$	25.9995	+	10.3395i	1.25235	+	0.498035i	0.353148	+	0.935568i	$0.385111\pi$
$432$	0.490913	−	0.0559848i	0.0236191	−	0.00269357i
$433$	−3.40117	+	4.36085i	−0.163450	+	0.209569i	−0.863260	−	0.504760i	$-0.831581\pi$
$433$	−3.40117	+	4.36085i	−0.163450	+	0.209569i	0.699810	+	0.714329i	$0.253268\pi$
$434$	−0.618055	−	3.59347i	−0.0296676	−	0.172492i
$435$	1.22549	−	0.993665i	0.0587579	−	0.0476426i
$436$	−2.20596	+	4.74372i	−0.105646	+	0.227183i
$437$	−3.57048	−	0.135209i	−0.170799	−	0.00646793i
$438$	−5.29960	+	18.1643i	−0.253225	+	0.867925i
$439$	−39.2744	−	5.99208i	−1.87447	−	0.285986i	−0.889265	−	0.457393i	$-0.848783\pi$
$439$	−39.2744	−	5.99208i	−1.87447	−	0.285986i	−0.985200	+	0.171407i	$0.945169\pi$
$440$	−0.112414	+	0.447659i	−0.00535913	+	0.0213413i
$441$	16.7384	−	0.633858i	0.797065	−	0.0301837i
$442$	−5.26562	+	12.5441i	−0.250460	+	0.596664i
$443$	12.6780	+	17.5894i	0.602350	+	0.835697i	0.996521	−	0.0833400i	$-0.0265587\pi$
$443$	12.6780	+	17.5894i	0.602350	+	0.835697i	−0.394171	+	0.919037i	$0.628968\pi$
$444$	2.78546	+	2.63164i	0.132192	+	0.124892i
$445$	0.865408	−	0.270363i	0.0410243	−	0.0128164i
$446$	−0.524051	−	0.121103i	−0.0248145	−	0.00573438i
$447$	0.500649	+	3.75701i	0.0236799	+	0.177701i
$448$	−0.371885	−	1.27463i	−0.0175699	−	0.0602208i
$449$	−9.52284	−	37.9221i	−0.449411	−	1.78966i	−0.598823	−	0.800881i	$-0.704365\pi$
$449$	−9.52284	−	37.9221i	−0.449411	−	1.78966i	0.149413	−	0.988775i	$-0.452262\pi$
$450$	1.50747	+	15.8832i	0.0710628	+	0.748741i
$451$	13.4549	+	15.9666i	0.633565	+	0.751837i
$452$	−11.4480	+	8.58522i	−0.538467	+	0.403815i
$453$	−27.5169	+	24.0933i	−1.29286	+	1.13200i
$454$	20.1969	+	10.8262i	0.947889	+	0.508099i
$455$	0.446381	+	0.0509063i	0.0209267	+	0.00238652i
$456$	2.20250	−	2.24458i	0.103142	−	0.105112i
$457$	−8.61570	+	4.20665i	−0.403026	+	0.196779i	−0.629088	−	0.777334i	$-0.716571\pi$
$457$	−8.61570	+	4.20665i	−0.403026	+	0.196779i	0.226062	+	0.974113i	$0.427415\pi$
$458$	−18.7985	−	15.2423i	−0.878394	−	0.712228i
$459$	1.05504	−	1.88182i	0.0492451	−	0.0878359i
$460$	−0.223303	+	0.210972i	−0.0104116	+	0.00983661i
$461$	2.15064	+	0.411944i	0.100165	+	0.0191861i	0.237963	−	0.971274i	$-0.423520\pi$
$461$	2.15064	+	0.411944i	0.100165	+	0.0191861i	−0.137797	+	0.990460i	$0.544002\pi$
$462$	11.8454	+	7.55514i	0.551100	+	0.351497i
$463$	2.30937	+	3.47398i	0.107326	+	0.161450i	0.882523	−	0.470270i	$-0.155843\pi$
$463$	2.30937	+	3.47398i	0.107326	+	0.161450i	−0.775197	+	0.631719i	$0.782349\pi$
$464$	4.79753	−	3.32182i	0.222720	−	0.154212i
$465$	0.0701537	−	0.739162i	0.00325330	−	0.0342778i
$466$	1.97444	−	0.301240i	0.0914642	−	0.0139547i
$467$	−3.14731	+	23.6183i	−0.145640	+	1.09293i	0.754181	+	0.656667i	$0.228034\pi$
$467$	−3.14731	+	23.6183i	−0.145640	+	1.09293i	−0.899821	+	0.436259i	$0.856303\pi$
$468$	−3.50670	+	9.32824i	−0.162097	+	0.431198i
$469$	−9.08213	+	4.86832i	−0.419374	+	0.224798i
$470$	0.723877	−	0.287872i	0.0333900	−	0.0132785i
$471$	−16.7110	+	10.6584i	−0.770001	+	0.491114i
$472$	5.69404	+	2.51795i	0.262089	+	0.115898i
$473$	30.4868	−	33.5173i	1.40178	−	1.54113i
$474$	9.54617	+	12.2397i	0.438470	+	0.562190i
$475$	4.41285	+	4.49716i	0.202475	+	0.206344i
$476$	−5.46440	−	1.93699i	−0.250460	−	0.0887816i
$477$	−1.70212	+	5.10671i	−0.0779346	+	0.233820i
$478$	7.76670	−	3.43450i	0.355241	−	0.157091i
$479$	−17.9777	+	27.0438i	−0.821420	+	1.23566i	0.147690	+	0.989034i	$0.452816\pi$
$479$	−17.9777	+	27.0438i	−0.821420	+	1.23566i	−0.969111	+	0.246627i	$0.920678\pi$
$480$	−0.00511661	−	0.270327i	−0.000233540	−	0.0123387i
$481$	−4.52007	+	1.60225i	−0.206097	+	0.0730561i
$482$	4.19000	+	2.04578i	0.190849	+	0.0931828i
$483$	3.94307	+	8.47920i	0.179416	+	0.385817i
$484$	−2.73394	−	6.51299i	−0.124270	−	0.296045i
$485$	0.599652	−	0.980624i	0.0272288	−	0.0445279i
$486$	−10.1657	+	19.8582i	−0.461124	+	0.900788i
$487$	−3.03157	+	14.3514i	−0.137373	+	0.650325i	0.854110	+	0.520092i	$0.174102\pi$
$487$	−3.03157	+	14.3514i	−0.137373	+	0.650325i	−0.991483	+	0.130232i	$0.958428\pi$
$488$	9.73834	+	2.64233i	0.440834	+	0.119613i
$489$	10.6333	+	50.3379i	0.480854	+	2.27636i
$490$	0.0322729	−	0.567816i	0.00145794	−	0.0256513i
$491$	9.77030	−	11.5942i	0.440927	−	0.523238i	−0.498082	−	0.867130i	$-0.665962\pi$
$491$	9.77030	−	11.5942i	0.440927	−	0.523238i	0.939009	+	0.343892i	$0.111745\pi$
$492$	−10.0559	−	6.96272i	−0.453355	−	0.313903i
$493$	0.482169	−	25.4745i	0.0217158	−	1.14731i
$494$	1.24444	+	3.73357i	0.0559899	+	0.167981i
$495$	0.993344	+	1.09209i	0.0446475	+	0.0490856i
$496$	0.465482	−	2.70639i	0.0209008	−	0.121520i
$497$	−1.34007	−	2.39021i	−0.0601103	−	0.107216i
$498$	16.4109	+	5.12694i	0.735389	+	0.229744i
$499$	18.9459	+	11.0983i	0.848134	+	0.496830i	0.864263	−	0.503040i	$-0.167785\pi$
$499$	18.9459	+	11.0983i	0.848134	+	0.496830i	−0.0161296	+	0.999870i	$0.505134\pi$
$500$	1.08471			0.0485095
$501$	22.0764	−	23.4046i	0.986300	−	1.04564i
$502$	16.2914			0.727121
$503$	−28.4522	−	16.6671i	−1.26862	−	0.743149i	−0.291652	−	0.956525i	$-0.594205\pi$
$503$	−28.4522	−	16.6671i	−1.26862	−	0.743149i	−0.976970	+	0.213375i	$0.931554\pi$
$504$	−4.05362	−	1.26640i	−0.180563	−	0.0564098i
$505$	−0.0910366	−	0.162377i	−0.00405108	−	0.00722570i
$506$	2.03790	−	11.8487i	0.0905959	−	0.526739i
$507$	5.51504	+	6.06326i	0.244932	+	0.269279i
$508$	3.25310	+	9.75999i	0.144333	+	0.433030i
$509$	0.542018	−	28.6365i	0.0240245	−	1.26929i	−0.760560	−	0.649268i	$-0.775075\pi$
$509$	0.542018	−	28.6365i	0.0240245	−	1.26929i	0.784584	−	0.620022i	$-0.212876\pi$
$510$	−0.970601	−	0.672046i	−0.0429789	−	0.0297587i
$511$	6.50272	−	7.71663i	0.287664	−	0.341364i
$512$	0.0567453	−	0.998389i	0.00250781	−	0.0441230i
$513$	−0.128986	−	0.610617i	−0.00569486	−	0.0269594i
$514$	−16.4360	−	4.45961i	−0.724959	−	0.196705i
$515$	0.200918	−	0.951142i	0.00885348	−	0.0419123i
$516$	−12.0941	+	23.6255i	−0.532415	+	1.04005i
$517$	−15.9051	+	26.0101i	−0.699508	+	1.14392i
$518$	−0.791001	−	1.88438i	−0.0347546	−	0.0827948i
$519$	22.8854	+	49.2128i	1.00456	+	2.16020i
$520$	0.304059	+	0.148458i	0.0133339	+	0.00651031i
$521$	−23.2285	+	8.23390i	−1.01766	+	0.360734i	−0.790066	−	0.613022i	$-0.789954\pi$
$521$	−23.2285	+	8.23390i	−1.01766	+	0.360734i	−0.227595	+	0.973756i	$0.573086\pi$
$522$	−0.353200	−	18.6606i	−0.0154591	−	0.816754i
$523$	−14.5616	+	21.9050i	−0.636734	+	0.957837i	0.362928	+	0.931817i	$0.381777\pi$
$523$	−14.5616	+	21.9050i	−0.636734	+	0.957837i	−0.999661	+	0.0260197i	$0.991717\pi$
$524$	3.31041	−	1.46389i	0.144616	−	0.0639504i
$525$	5.21415	−	15.6435i	0.227564	−	0.682740i
$526$	15.2835	+	5.41760i	0.666393	+	0.236219i
$527$	−8.39801	−	8.55847i	−0.365823	−	0.372813i
$528$	6.50755	+	8.34373i	0.283205	+	0.363114i
$529$	−10.0917	+	11.0949i	−0.438770	+	0.482386i
$530$	0.167154	+	0.0739170i	0.00726072	+	0.00321075i
$531$	16.7891	−	10.7083i	0.728586	−	0.464699i
$532$	−1.55841	+	0.619747i	−0.0675654	+	0.0268694i
$533$	13.4909	−	7.23158i	0.584357	−	0.313234i
$534$	7.31402	−	19.4561i	0.316508	−	0.841950i
$535$	−0.152695	+	1.14586i	−0.00660156	+	0.0495400i
$536$	−7.67205	+	1.17052i	−0.331382	+	0.0505588i
$537$	1.95277	−	20.5750i	0.0842683	−	0.887878i
$538$	−25.3359	+	17.5426i	−1.09231	+	0.756315i
$539$	12.3220	+	18.5360i	0.530747	+	0.798402i
$540$	−0.0452396	−	0.0288543i	−0.00194680	−	0.00124169i
$541$	−35.2431	−	6.75064i	−1.51522	−	0.290233i	−0.637894	−	0.770125i	$-0.720194\pi$
$541$	−35.2431	−	6.75064i	−1.51522	−	0.290233i	−0.877328	+	0.479892i	$0.840676\pi$
$542$	1.44008	−	1.36056i	0.0618569	−	0.0584410i
$543$	1.32729	−	2.36742i	0.0569596	−	0.101596i
$544$	−3.39157	−	2.74998i	−0.145412	−	0.117904i
$545$	0.510536	−	0.249271i	0.0218689	−	0.0106776i
$546$	7.21382	−	7.35165i	0.308723	−	0.314622i
$547$	10.5715	+	1.20560i	0.452005	+	0.0515476i	0.336340	−	0.941741i	$-0.390811\pi$
$547$	10.5715	+	1.20560i	0.452005	+	0.0515476i	0.115665	+	0.993288i	$0.463100\pi$
$548$	−4.01591	−	2.15266i	−0.171551	−	0.0919571i
$549$	24.2816	−	21.2605i	1.03631	−	0.907376i
$550$	−16.9609	+	12.7196i	−0.723216	+	0.542364i
$551$	−4.74958	−	5.63622i	−0.202339	−	0.240111i
$552$	0.665435	+	7.01124i	0.0283228	+	0.298418i
$553$	−2.01620	−	8.02896i	−0.0857374	−	0.341426i
$554$	2.55632	+	8.76178i	0.108608	+	0.372252i
$555$	−0.0549693	−	0.412505i	−0.00233332	−	0.0175099i
$556$	17.4535	+	4.03332i	0.740192	+	0.171051i
$557$	−16.3267	+	5.10066i	−0.691786	+	0.216122i	−0.623823	−	0.781566i	$-0.714421\pi$
$557$	−16.3267	+	5.10066i	−0.691786	+	0.216122i	−0.0679636	+	0.997688i	$0.521650\pi$
$558$	−6.38456	−	6.03199i	−0.270280	−	0.255354i
$559$	−19.4217	−	26.9455i	−0.821450	−	1.13967i
$560$	−0.0558106	+	0.132956i	−0.00235843	+	0.00561842i
$561$	46.1691	−	1.74836i	1.94926	−	0.0738158i
$562$	4.76578	−	18.9784i	0.201032	−	0.800556i
$563$	−2.03324	−	0.310211i	−0.0856909	−	0.0130738i	0.107837	−	0.994169i	$-0.465607\pi$
$563$	−2.03324	−	0.310211i	−0.0856909	−	0.0130738i	−0.193528	+	0.981095i	$0.561993\pi$
$564$	5.00206	−	17.1445i	0.210625	−	0.721914i
$565$	1.55288	+	0.0588054i	0.0653302	+	0.00247396i
$566$	4.76386	−	10.2442i	0.200240	−	0.430598i
$567$	8.62747	−	6.99541i	0.362320	−	0.293779i
$568$	−0.349821	−	2.03391i	−0.0146781	−	0.0853411i
$569$	13.5109	−	17.3232i	0.566406	−	0.726225i	−0.416744	−	0.909024i	$-0.636829\pi$
$569$	13.5109	−	17.3232i	0.566406	−	0.726225i	0.983150	+	0.182799i	$0.0585156\pi$
$570$	−0.339312	+	0.0386958i	−0.0142122	+	0.00162079i
$571$	10.9824	+	4.36749i	0.459600	+	0.182774i	0.587853	−	0.808968i	$-0.299973\pi$
$571$	10.9824	+	4.36749i	0.459600	+	0.182774i	−0.128253	+	0.991741i	$0.540937\pi$
$572$	−13.0059	+	2.49121i	−0.543803	+	0.104163i
$573$	−33.6657	+	46.7076i	−1.40640	+	1.95124i
$574$	3.40301	+	5.56502i	0.142039	+	0.232279i
$575$	−14.0702	+	1.06716i	−0.586766	+	0.0445038i
$576$	−2.55885	−	1.91897i	−0.106619	−	0.0799569i
$577$	2.32952	+	40.9860i	0.0969791	+	1.70627i	0.567084	+	0.823660i	$0.308072\pi$
$577$	2.32952	+	40.9860i	0.0969791	+	1.70627i	−0.470105	+	0.882611i	$0.655784\pi$
$578$	−1.99306	+	0.540782i	−0.0829002	+	0.0224935i
$579$	−30.3263	−	59.2413i	−1.26032	−	2.46198i
$580$	−0.631892	−	0.0479265i	−0.0262379	−	0.00199004i
$581$	−6.89862	−	6.04031i	−0.286203	−	0.250594i
$582$	−9.27253	−	24.6660i	−0.384359	−	1.02244i
$583$	−6.96916	+	1.61050i	−0.288633	+	0.0667001i
$584$	6.55774	−	3.84148i	0.271361	−	0.158961i
$585$	0.933824	−	0.547027i	0.0386089	−	0.0226168i
$586$	−2.11125	+	0.487889i	−0.0872150	+	0.0201545i
$587$	−7.16885	−	19.0700i	−0.295890	−	0.787103i	−0.997237	−	0.0742827i	$-0.976333\pi$
$587$	−7.16885	−	19.0700i	−0.295890	−	0.787103i	0.701347	−	0.712820i	$-0.252582\pi$
$588$	−9.80959	−	8.58910i	−0.404541	−	0.354209i
$589$	−3.45870	−	0.262328i	−0.142513	−	0.0108091i
$590$	−0.308095	−	0.601852i	−0.0126841	−	0.0247779i
$591$	13.4613	−	3.65248i	0.553722	−	0.150243i
$592$	−0.0873403	−	1.53668i	−0.00358966	−	0.0631573i
$593$	1.95671	+	1.46740i	0.0803524	+	0.0602590i	0.639385	−	0.768886i	$-0.279189\pi$
$593$	1.95671	+	1.46740i	0.0803524	+	0.0602590i	−0.559033	+	0.829145i	$0.688827\pi$
$594$	2.09395	−	0.158818i	0.0859158	−	0.00651637i
$595$	0.328460	+	0.537139i	0.0134656	+	0.0220205i
$596$	0.890164	−	1.23501i	0.0364625	−	0.0505879i
$597$	−65.0066	+	12.4517i	−2.66054	+	0.509613i
$598$	−8.18993	−	3.25698i	−0.334911	−	0.133188i
$599$	12.3796	−	1.41180i	0.505818	−	0.0576846i	0.143334	−	0.989674i	$-0.454218\pi$
$599$	12.3796	−	1.41180i	0.505818	−	0.0576846i	0.362485	+	0.931990i	$0.381929\pi$
$600$	7.63766	−	9.79272i	0.311806	−	0.399786i
$601$	5.39884	+	31.3897i	0.220223	+	1.28041i	0.859380	+	0.511338i	$0.170850\pi$
$601$	5.39884	+	31.3897i	0.220223	+	1.28041i	−0.639156	+	0.769077i	$0.720716\pi$
$602$	10.9947	−	8.91480i	0.448110	−	0.363340i
$603$	−10.4669	+	22.5080i	−0.426244	+	0.916597i
$604$	14.6798	+	0.555904i	0.597313	+	0.0226194i
$605$	−0.214848	+	0.736389i	−0.00873480	+	0.0299385i
$606$	−4.21888	−	0.643673i	−0.171380	−	0.0261474i
$607$	10.8025	−	43.0178i	0.438458	−	1.74604i	−0.203284	−	0.979120i	$-0.565161\pi$
$607$	10.8025	−	43.0178i	0.438458	−	1.74604i	0.641742	−	0.766921i	$-0.278212\pi$
$608$	−1.26220	+	0.0477976i	−0.0511888	+	0.00193845i
$609$	−7.46616	+	17.7864i	−0.302544	+	0.720742i
$610$	−0.640741	−	0.888960i	−0.0259428	−	0.0359930i
$611$	16.2463	+	15.3492i	0.657256	+	0.620960i
$612$	−13.3302	+	4.16452i	−0.538843	+	0.168341i
$613$	−28.4987	−	6.58576i	−1.15105	−	0.265996i	−0.393849	−	0.919175i	$-0.628857\pi$
$613$	−28.4987	−	6.58576i	−1.15105	−	0.265996i	−0.757204	+	0.653179i	$0.773435\pi$
$614$	−1.27008	−	9.53103i	−0.0512562	−	0.384641i
$615$	0.372028	+	1.27512i	0.0150016	+	0.0514179i
$616$	−1.37442	−	5.47328i	−0.0553772	−	0.220525i
$617$	3.33047	+	35.0910i	0.134080	+	1.41271i	0.768564	+	0.639773i	$0.220972\pi$
$617$	3.33047	+	35.0910i	0.134080	+	1.41271i	−0.634484	+	0.772936i	$0.718787\pi$
$618$	−14.3614	−	17.0423i	−0.577698	−	0.685541i
$619$	−26.5244	+	19.8915i	−1.06610	+	0.799508i	−0.980440	−	0.196816i	$-0.936940\pi$
$619$	−26.5244	+	19.8915i	−1.06610	+	0.799508i	−0.0856641	+	0.996324i	$0.527301\pi$
$620$	−0.224373	+	0.196457i	−0.00901103	+	0.00788990i
$621$	1.23187	+	0.660324i	0.0494333	+	0.0264979i
$622$	−19.2796	−	2.19868i	−0.773040	−	0.0881591i
$623$	−7.76389	+	7.91223i	−0.311054	+	0.316997i
$624$	6.97068	−	3.40346i	0.279051	−	0.136247i
$625$	19.2814	+	15.6339i	0.771257	+	0.625357i
$626$	12.1065	−	21.5938i	0.483874	−	0.863061i
$627$	9.71519	−	9.17869i	0.387987	−	0.366562i
$628$	7.81901	+	1.49769i	0.312012	+	0.0597644i
$629$	−5.66615	−	3.61393i	−0.225924	−	0.144097i
$630$	0.255322	+	0.384080i	0.0101723	+	0.0153021i
$631$	−0.976854	+	0.676375i	−0.0388879	+	0.0269261i	−0.588547	−	0.808463i	$-0.700300\pi$
$631$	−0.976854	+	0.676375i	−0.0388879	+	0.0269261i	0.549659	+	0.835389i	$0.314758\pi$
$632$	0.589083	−	6.20677i	0.0234325	−	0.246892i
$633$	−28.3657	+	4.32775i	−1.12744	+	0.172012i
$634$	2.16011	−	16.2101i	0.0857888	−	0.643784i
$635$	0.393139	−	1.04580i	0.0156012	−	0.0415011i
$636$	3.69295	−	1.97954i	0.146435	−	0.0784939i
$637$	15.1622	−	6.02973i	0.600750	−	0.238907i
$638$	20.9097	−	13.3364i	0.827825	−	0.527994i
$639$	−6.03699	−	2.66961i	−0.238819	−	0.105608i
$640$	−0.0730731	+	0.0803368i	−0.00288847	+	0.00317559i
$641$	−2.42912	−	3.11452i	−0.0959443	−	0.123016i	0.738154	−	0.674633i	$-0.235698\pi$
$641$	−2.42912	−	3.11452i	−0.0959443	−	0.123016i	−0.834098	+	0.551616i	$0.814011\pi$
$642$	18.5613	+	18.9159i	0.732556	+	0.746552i
$643$	1.60044	+	0.567315i	0.0631154	+	0.0223727i	0.365475	−	0.930821i	$-0.380907\pi$
$643$	1.60044	+	0.567315i	0.0631154	+	0.0223727i	−0.302359	+	0.953194i	$0.597774\pi$
$644$	1.18767	−	3.56327i	0.0468009	−	0.140413i
$645$	2.63609	−	1.16570i	0.103796	−	0.0458994i
$646$	−3.05320	+	4.59292i	−0.120127	+	0.180706i
$647$	−0.130727	−	6.90669i	−0.00513939	−	0.271530i	−0.993130	−	0.117016i	$-0.962667\pi$
$647$	−0.130727	−	6.90669i	−0.00513939	−	0.271530i	0.987991	−	0.154514i	$-0.0493811\pi$
$648$	7.88454	−	2.79486i	0.309734	−	0.109793i
$649$	23.7781	+	11.6097i	0.933371	+	0.455721i
$650$	6.55352	+	14.0927i	0.257050	+	0.552762i
$651$	3.51362	+	8.37038i	0.137709	+	0.328061i
$652$	10.7807	−	17.6299i	0.422204	−	0.690440i
$653$	1.58696	−	3.10006i	0.0621024	−	0.121315i	−0.857025	−	0.515274i	$-0.827690\pi$
$653$	1.58696	−	3.10006i	0.0621024	−	0.121315i	0.919128	+	0.393959i	$0.128895\pi$
$654$	2.69194	−	12.7436i	0.105263	−	0.498315i
$655$	−0.379372	−	0.102936i	−0.0148233	−	0.00402204i
$656$	1.01535	+	4.80668i	0.0396429	+	0.187669i
$657$	1.37939	−	24.2693i	0.0538152	−	0.946836i
$658$	−6.13763	+	7.28338i	−0.239270	+	0.283936i
$659$	31.3572	+	21.7118i	1.22150	+	0.845771i	0.991839	−	0.127498i	$-0.0406948\pi$
$659$	31.3572	+	21.7118i	1.22150	+	0.845771i	0.229665	+	0.973270i	$0.426237\pi$
$660$	0.0217462	−	1.14892i	0.000846470	−	0.0447217i
$661$	5.46132	+	16.3851i	0.212421	+	0.637307i	0.999783	+	0.0208171i	$0.00662676\pi$
$661$	5.46132	+	16.3851i	0.212421	+	0.637307i	−0.787363	+	0.616490i	$0.788554\pi$
$662$	−8.53422	−	9.38256i	−0.331692	−	0.364663i
$663$	5.74125	−	33.3806i	0.222972	−	1.29639i
$664$	−3.37716	−	6.02366i	−0.131059	−	0.233763i
$665$	0.173846	+	0.0543115i	0.00674147	+	0.00210611i
$666$	−4.24779	−	2.48832i	−0.164598	−	0.0964205i
$667$	16.5068			0.639147
$668$	−12.9014	+	0.743732i	−0.499171	+	0.0287759i
$669$	1.33910			0.0517725
$670$	0.727227	+	0.426004i	0.0280952	+	0.0164580i
$671$	40.9345	+	12.7884i	1.58026	+	0.493691i
$672$	1.61661	+	2.88347i	0.0623621	+	0.111232i
$673$	−5.94971	+	34.5926i	−0.229344	+	1.33345i	0.611103	+	0.791551i	$0.290726\pi$
$673$	−5.94971	+	34.5926i	−0.229344	+	1.33345i	−0.840447	+	0.541894i	$0.817707\pi$
$674$	−15.4764	−	17.0148i	−0.596130	−	0.655387i
$675$	−0.779341	−	2.33819i	−0.0299968	−	0.0899969i
$676$	0.0623003	−	3.29152i	0.00239617	−	0.126597i
$677$	21.1645	+	14.6543i	0.813418	+	0.563212i	0.901439	−	0.432907i	$-0.142512\pi$
$677$	21.1645	+	14.6543i	0.813418	+	0.563212i	−0.0880211	+	0.996119i	$0.528054\pi$
$678$	22.9573	−	27.2428i	0.881668	−	1.04626i
$679$	−0.797471	+	14.0309i	−0.0306041	+	0.538456i
$680$	0.0980026	+	0.463943i	0.00375823	+	0.0177914i
$681$	−55.0613	−	14.9399i	−2.10995	−	0.572500i
$682$	2.41221	−	11.4194i	0.0923682	−	0.437270i
$683$	−2.04846	+	4.00159i	−0.0783822	+	0.153117i	−0.926038	−	0.377429i	$-0.876808\pi$
$683$	−2.04846	+	4.00159i	−0.0783822	+	0.153117i	0.847656	+	0.530546i	$0.178013\pi$
$684$	−2.10762	+	3.44664i	−0.0805869	+	0.131786i
$685$	0.191523	+	0.456260i	0.00731772	+	0.0174328i
$686$	6.85122	+	14.7329i	0.261581	+	0.562505i
$687$	54.1445	+	26.4362i	2.06574	+	1.00861i
$688$	10.0479	−	3.56171i	0.383073	−	0.135789i
$689$	0.0992326	+	5.24277i	0.00378046	+	0.199734i
$690$	0.423413	−	0.636939i	0.0161191	−	0.0242479i
$691$	1.09798	−	0.485536i	0.0417691	−	0.0184707i	−0.383440	−	0.923566i	$-0.625261\pi$
$691$	1.09798	−	0.485536i	0.0417691	−	0.0184707i	0.425209	+	0.905095i	$0.360201\pi$
$692$	6.89320	−	20.6811i	0.262040	−	0.786176i
$693$	−17.0124	−	6.03043i	−0.646246	−	0.229077i
$694$	3.04327	+	3.10142i	0.115521	+	0.117728i
$695$	−1.19640	−	1.53398i	−0.0453822	−	0.0581873i
$696$	−9.77548	+	10.7472i	−0.370539	+	0.407372i
$697$	19.6183	+	8.67537i	0.743095	+	0.328603i
$698$	6.01218	−	3.83462i	0.227564	−	0.145143i
$699$	−4.62062	+	1.83753i	−0.174768	+	0.0695018i
$700$	−5.83746	+	3.12907i	−0.220635	+	0.118268i
$701$	0.579233	−	1.54083i	0.0218773	−	0.0581962i	−0.924654	−	0.380809i	$-0.875646\pi$
$701$	0.579233	−	1.54083i	0.0218773	−	0.0581962i	0.946531	+	0.322613i	$0.104561\pi$
$702$	0.203349	−	1.52599i	0.00767491	−	0.0575947i
$703$	−1.92188	+	0.293220i	−0.0724851	+	0.0110590i
$704$	0.401573	−	4.23111i	0.0151349	−	0.159466i
$705$	−1.59457	+	1.10408i	−0.0600549	+	0.0415821i
$706$	15.5697	+	23.4214i	0.585972	+	0.881476i
$707$	1.91894	+	1.22392i	0.0721691	+	0.0460301i
$708$	−15.2237	−	2.91603i	−0.572143	−	0.109591i
$709$	−31.3750	+	29.6424i	−1.17831	+	1.11324i	−0.186912	+	0.982377i	$0.559848\pi$
$709$	−31.3750	+	29.6424i	−1.17831	+	1.11324i	−0.991400	+	0.130865i	$0.958224\pi$
$710$	−0.109604	+	0.195495i	−0.00411337	+	0.00733680i
$711$	−15.4894	−	12.5593i	−0.580898	−	0.471009i
$712$	−7.50221	+	3.66298i	−0.281157	+	0.137276i
$713$	5.44073	−	5.54468i	0.203757	−	0.207650i
$714$	14.3410	+	1.63548i	0.536700	+	0.0612064i
$715$	1.26749	+	0.679414i	0.0474013	+	0.0254087i
$716$	−6.24556	+	5.46850i	−0.233407	+	0.204367i
$717$	−16.9148	+	12.6850i	−0.631694	+	0.473728i
$718$	−6.67909	−	7.92592i	−0.249261	−	0.295793i
$719$	−4.08800	−	43.0725i	−0.152457	−	1.60633i	−0.664442	−	0.747340i	$-0.731331\pi$
$719$	−4.08800	−	43.0725i	−0.152457	−	1.60633i	0.511985	−	0.858994i	$-0.328910\pi$
$720$	0.0845980	+	0.336889i	0.00315278	+	0.0125551i
$721$	3.32896	+	11.4100i	0.123977	+	0.424930i
$722$	−2.29896	−	17.2521i	−0.0855586	−	0.642056i
$723$	−11.3107	−	2.61378i	−0.420648	−	0.0972074i
$724$	−1.04055	+	0.325080i	−0.0386718	+	0.0120815i
$725$	−21.1582	−	19.9898i	−0.785795	−	0.742401i
$726$	10.2828	+	14.2663i	0.381630	+	0.529472i
$727$	8.12660	−	19.3598i	0.301399	−	0.718014i	−0.698598	−	0.715515i	$-0.746192\pi$
$727$	8.12660	−	19.3598i	0.301399	−	0.718014i	0.999997	−	0.00249964i	$-0.000795661\pi$
$728$	−4.13405	+	0.156551i	−0.153218	+	0.00580216i
$729$	7.41531	−	29.5295i	0.274641	−	1.09368i
$730$	−0.815915	−	0.124484i	−0.0301984	−	0.00460736i
$731$	13.0371	−	44.6846i	0.482195	−	1.65272i
$732$	−25.1039	−	0.950649i	−0.927867	−	0.0351370i
$733$	9.30630	−	20.0123i	0.343736	−	0.739172i	−0.656144	−	0.754635i	$-0.727814\pi$
$733$	9.30630	−	20.0123i	0.343736	−	0.739172i	0.999880	+	0.0154630i	$0.00492222\pi$
$734$	−7.59440	+	6.15776i	−0.280314	+	0.227287i
$735$	0.240012	+	1.39547i	0.00885297	+	0.0514726i
$736$	1.73970	−	2.23058i	0.0641262	−	0.0822202i
$737$	−32.7721	+	3.73739i	−1.20717	+	0.137669i
$738$	14.6010	+	5.80653i	0.537470	+	0.213741i
$739$	11.4308	−	2.18951i	0.420489	−	0.0805426i	0.0264807	−	0.999649i	$-0.491570\pi$
$739$	11.4308	−	2.18951i	0.420489	−	0.0805426i	0.394009	+	0.919107i	$0.371088\pi$
$740$	−0.0977365	+	0.135599i	−0.00359286	+	0.00498472i
$741$	−5.11159	−	8.35910i	−0.187779	−	0.307079i
$742$	−2.22821	+	0.169000i	−0.0818000	+	0.00620420i
$743$	−18.8878	−	14.1646i	−0.692928	−	0.519650i	0.194323	−	0.980938i	$-0.437749\pi$
$743$	−18.8878	−	14.1646i	−0.692928	−	0.519650i	−0.887251	+	0.461288i	$0.847388\pi$
$744$	0.387964	+	6.82593i	0.0142235	+	0.250251i
$745$	−0.159559	+	0.0432937i	−0.00584580	+	0.00158616i
$746$	12.3235	+	24.0736i	0.451197	+	0.881396i
$747$	−22.0246	−	1.67047i	−0.805837	−	0.0611195i
$748$	−13.9620	−	12.2249i	−0.510500	−	0.446985i
$749$	−4.97337	−	13.2297i	−0.181723	−	0.483404i
$750$	−2.63122	+	0.608047i	−0.0960785	+	0.0222028i
$751$	−40.7676	+	23.8814i	−1.48763	+	0.871443i	−0.999999	−	0.00160567i	$-0.999489\pi$
$751$	−40.7676	+	23.8814i	−1.48763	+	0.871443i	−0.487633	+	0.873049i	$0.662140\pi$
$752$	−6.18956	+	3.62580i	−0.225710	+	0.132219i
$753$	−39.5187	+	9.13237i	−1.44014	+	0.332802i
$754$	−6.39767	−	17.0186i	−0.232989	−	0.619779i
$755$	−1.20028	−	1.05094i	−0.0436826	−	0.0382477i
$756$	0.654168	+	0.0496160i	0.0237919	+	0.00180452i
$757$	−11.6260	−	22.7109i	−0.422552	−	0.825440i	−0.999960	−	0.00898380i	$-0.997140\pi$
$757$	−11.6260	−	22.7109i	−0.422552	−	0.825440i	0.577407	−	0.816456i	$-0.304064\pi$
$758$	−22.4395	+	6.08858i	−0.815041	+	0.221147i
$759$	1.69853	+	29.8843i	0.0616527	+	1.08473i
$760$	0.109740	+	0.0822980i	0.00398070	+	0.00298526i
$761$	25.6900	−	1.94849i	0.931263	−	0.0706326i	0.398755	−	0.917057i	$-0.369442\pi$
$761$	25.6900	−	1.94849i	0.931263	−	0.0706326i	0.532508	+	0.846425i	$0.321250\pi$
$762$	−13.3623	−	21.8517i	−0.484065	−	0.791602i
$763$	−4.06165	+	5.63511i	−0.147041	+	0.204005i
$764$	22.7130	−	4.35055i	0.821726	−	0.157397i
$765$	1.40930	+	0.560450i	0.0509533	+	0.0202631i
$766$	−4.68097	+	0.533827i	−0.169130	+	0.0192880i
$767$	11.9300	−	15.2962i	0.430767	−	0.552314i
$768$	0.422011	+	2.45364i	0.0152280	+	0.0885382i
$769$	20.0446	−	16.2528i	0.722828	−	0.586090i	−0.196068	−	0.980590i	$-0.562817\pi$
$769$	20.0446	−	16.2528i	0.722828	−	0.586090i	0.918896	+	0.394500i	$0.129082\pi$
$770$	−0.258415	+	0.555698i	−0.00931265	+	0.0200260i
$771$	42.3693	+	1.60447i	1.52589	+	0.0577834i
$772$	−7.48696	+	25.6615i	−0.269462	+	0.923578i
$773$	−16.9569	−	2.58711i	−0.609898	−	0.0930519i	−0.161480	−	0.986876i	$-0.551627\pi$
$773$	−16.9569	−	2.58711i	−0.609898	−	0.0930519i	−0.448418	+	0.893824i	$0.648012\pi$
$774$	8.30449	−	33.0704i	0.298499	−	1.18869i
$775$	−13.6884	+	0.518362i	−0.491703	+	0.0186201i
$776$	−4.09664	+	9.75931i	−0.147061	+	0.350339i
$777$	2.97508	+	4.12761i	0.106730	+	0.148077i
$778$	−16.9635	−	16.0267i	−0.608171	−	0.574586i
$779$	5.92298	−	1.85041i	0.212213	−	0.0662977i
$780$	−0.820790	−	0.189676i	−0.0293890	−	0.00679149i
$781$	−1.15860	−	8.69445i	−0.0414579	−	0.311112i
$782$	−3.45943	−	11.8572i	−0.123709	−	0.424011i
$783$	0.702213	+	2.79638i	0.0250951	+	0.0999343i
$784$	0.494820	+	5.21358i	0.0176721	+	0.186199i
$785$	−0.557127	−	0.661130i	−0.0198847	−	0.0235967i
$786$	−7.20960	+	5.40672i	−0.257158	+	0.192851i
$787$	20.6628	−	18.0920i	0.736551	−	0.644911i	−0.206161	−	0.978518i	$-0.566097\pi$
$787$	20.6628	−	18.0920i	0.736551	−	0.644911i	0.942712	+	0.333607i	$0.108266\pi$
$788$	−4.93770	−	2.64677i	−0.175898	−	0.0942872i
$789$	−40.1108	−	4.57432i	−1.42798	−	0.162850i
$790$	−0.474214	+	0.483274i	−0.0168718	+	0.0171941i
$791$	−17.0734	+	8.33615i	−0.607061	+	0.296399i
$792$	−10.5590	−	8.56154i	−0.375198	−	0.304221i
$793$	15.3749	−	27.4234i	0.545978	−	0.973833i
$794$	21.7985	−	20.5948i	0.773601	−	0.730881i
$795$	−0.446908	−	0.0856030i	−0.0158502	−	0.00303603i
$796$	22.4142	+	14.2960i	0.794451	+	0.506709i
$797$	−14.8695	−	22.3682i	−0.526706	−	0.792323i	0.469164	−	0.883111i	$-0.344555\pi$
$797$	−14.8695	−	22.3682i	−0.526706	−	0.792323i	−0.995870	+	0.0907883i	$0.971061\pi$
$798$	3.43288	−	2.37693i	0.121523	−	0.0841425i
$799$	−2.95941	+	31.1814i	−0.104697	+	1.10312i
$800$	−4.93114	+	0.752343i	−0.174342	+	0.0265993i
$801$	−3.52718	+	26.4690i	−0.124627	+	0.935235i
$802$	−9.04816	+	24.0692i	−0.319502	+	0.849912i
$803$	28.4691	−	15.2604i	1.00465	−	0.538526i
$804$	17.9543	−	7.14006i	0.633198	−	0.251811i
$805$	−0.343901	+	0.219343i	−0.0121209	+	0.00773083i
$806$	−7.82527	−	3.46040i	−0.275633	−	0.121887i
$807$	51.6245	−	56.7562i	1.81727	−	1.99791i
$808$	1.05421	+	1.35167i	0.0370869	+	0.0475515i
$809$	−17.7680	−	18.1075i	−0.624691	−	0.636626i	0.326512	−	0.945193i	$-0.394127\pi$
$809$	−17.7680	−	18.1075i	−0.624691	−	0.636626i	−0.951203	+	0.308567i	$0.900151\pi$
$810$	−0.856251	−	0.303518i	−0.0300856	−	0.0106646i
$811$	−4.89991	+	14.7008i	−0.172059	+	0.516214i	−0.998933	−	0.0461729i	$-0.985297\pi$
$811$	−4.89991	+	14.7008i	−0.172059	+	0.516214i	0.826874	+	0.562387i	$0.190117\pi$
$812$	7.08606	−	3.13352i	0.248672	−	0.109965i
$813$	−2.73059	+	4.10763i	−0.0957661	+	0.144061i
$814$	−0.123795	−	6.54046i	−0.00433900	−	0.229243i
$815$	−2.11522	+	0.749789i	−0.0740929	+	0.0262640i
$816$	9.76861	+	4.76955i	0.341970	+	0.166968i
$817$	−5.67784	−	12.2097i	−0.198642	−	0.427162i
$818$	7.76336	+	18.4944i	0.271440	+	0.646642i
$819$	−6.90306	+	11.2887i	−0.241212	+	0.394460i
$820$	0.243111	−	0.474909i	0.00848982	−	0.0165845i
$821$	−6.18765	+	29.2923i	−0.215950	+	1.02231i	0.726295	+	0.687383i	$0.241241\pi$
$821$	−6.18765	+	29.2923i	−0.215950	+	1.02231i	−0.942245	+	0.334924i	$0.891289\pi$
$822$	10.9483	+	2.97062i	0.381865	+	0.103612i
$823$	−4.07867	−	19.3084i	−0.142173	−	0.673048i	−0.989801	−	0.142456i	$-0.954500\pi$
$823$	−4.07867	−	19.3084i	−0.142173	−	0.673048i	0.847628	−	0.530591i	$-0.178030\pi$
$824$	−0.507960	+	8.93716i	−0.0176956	+	0.311341i
$825$	34.0127	−	40.3621i	1.18417	−	1.40523i
$826$	6.79646	+	4.70588i	0.236479	+	0.163739i
$827$	−0.415989	+	21.9780i	−0.0144654	+	0.764250i	0.916684	+	0.399613i	$0.130855\pi$
$827$	−0.415989	+	21.9780i	−0.0144654	+	0.764250i	−0.931149	+	0.364638i	$0.881193\pi$
$828$	−2.86097	−	8.58351i	−0.0994256	−	0.298298i
$829$	27.9251	+	30.7009i	0.969878	+	1.06629i	0.997775	+	0.0666766i	$0.0212396\pi$
$829$	27.9251	+	30.7009i	0.969878	+	1.06629i	−0.0278966	+	0.999611i	$0.508881\pi$
$830$	−0.127122	+	0.739106i	−0.00441245	+	0.0256547i
$831$	−11.1125	−	19.8208i	−0.385489	−	0.687577i
$832$	−2.97399	−	0.929110i	−0.103105	−	0.0322111i
$833$	19.7306	+	11.5580i	0.683625	+	0.400462i
$834$	−44.5985			−1.54432
$835$	1.13915	+	0.819677i	0.0394221	+	0.0283661i
$836$	−5.36833			−0.185668
$837$	1.17076	+	0.685823i	0.0404674	+	0.0237055i
$838$	34.9292	+	10.9123i	1.20661	+	0.376958i
$839$	−26.9138	−	48.0048i	−0.929168	−	1.65731i	−0.736939	−	0.675959i	$-0.763730\pi$
$839$	−26.9138	−	48.0048i	−0.929168	−	1.65731i	−0.192229	−	0.981350i	$-0.561572\pi$
$840$	0.0608518	−	0.353802i	0.00209959	−	0.0122073i
$841$	3.39854	+	3.73637i	0.117191	+	0.128840i
$842$	11.6893	+	35.0703i	0.402839	+	1.20860i
$843$	−0.921927	+	48.7083i	−0.0317528	+	1.67760i
$844$	9.47552	+	6.56086i	0.326161	+	0.225834i
$845$	−0.230384	+	0.273392i	−0.00792546	+	0.00940496i
$846$	−1.30195	+	22.9067i	−0.0447618	+	0.787549i
$847$	−1.93838	−	9.17629i	−0.0666036	−	0.315301i
$848$	−1.62424	−	0.440710i	−0.0557767	−	0.0151340i
$849$	−5.81335	+	27.5203i	−0.199514	+	0.944496i
$850$	−9.92477	+	19.3877i	−0.340417	+	0.664991i
$851$	2.27143	−	3.71452i	0.0778635	−	0.127332i
$852$	1.98871	+	4.73765i	0.0681322	+	0.162309i
$853$	13.5497	+	29.1373i	0.463932	+	0.997643i	0.989182	+	0.146695i	$0.0468636\pi$
$853$	13.5497	+	29.1373i	0.463932	+	0.997643i	−0.525249	+	0.850948i	$0.676028\pi$
$854$	12.0394	+	5.87829i	0.411981	+	0.201151i
$855$	0.413525	−	0.146584i	0.0141422	−	0.00501305i
$856$	−0.201440	−	10.6427i	−0.00688508	−	0.363760i
$857$	27.4332	−	41.2677i	0.937099	−	1.40968i	0.0250089	−	0.999687i	$-0.492039\pi$
$857$	27.4332	−	41.2677i	0.937099	−	1.40968i	0.912091	−	0.409989i	$-0.134467\pi$
$858$	30.1524	−	13.3337i	1.02939	−	0.455203i
$859$	−0.738408	+	2.21538i	−0.0251942	+	0.0755878i	−0.960534	−	0.278163i	$-0.910275\pi$
$859$	−0.738408	+	2.21538i	−0.0251942	+	0.0755878i	0.935340	+	0.353751i	$0.115094\pi$
$860$	−1.09119	−	0.386798i	−0.0372092	−	0.0131897i
$861$	−11.3744	−	11.5917i	−0.387637	−	0.395044i
$862$	17.2076	+	22.0630i	0.586094	+	0.751468i
$863$	11.7065	−	12.8702i	0.398495	−	0.438107i	−0.507335	−	0.861749i	$-0.669369\pi$
$863$	11.7065	−	12.8702i	0.398495	−	0.438107i	0.905829	+	0.423642i	$0.139249\pi$
$864$	0.451884	+	0.199827i	0.0153734	+	0.00679825i
$865$	−1.99598	+	1.27306i	−0.0678654	+	0.0432852i
$866$	−5.13892	+	2.04365i	−0.174627	+	0.0694459i
$867$	4.53150	−	2.42903i	0.153898	−	0.0824943i
$868$	1.28304	−	3.41304i	0.0435493	−	0.115846i
$869$	3.50012	−	26.2659i	0.118734	−	0.891010i
$870$	1.55967	−	0.237959i	0.0528779	−	0.00806755i
$871$	−2.28473	+	24.0726i	−0.0774150	+	0.815670i
$872$	−4.30115	+	2.97812i	−0.145655	+	0.100852i
$873$	18.7413	+	28.1924i	0.634295	+	0.954169i
$874$	−3.01246	−	1.92138i	−0.101898	−	0.0649916i
$875$	1.41453	+	0.270946i	0.0478199	+	0.00915965i
$876$	−13.7540	+	12.9945i	−0.464705	+	0.439042i
$877$	13.0932	−	23.3537i	0.442126	−	0.788597i	−0.556995	−	0.830516i	$-0.688046\pi$
$877$	13.0932	−	23.3537i	0.442126	−	0.788597i	0.999121	+	0.0419188i	$0.0133471\pi$
$878$	−30.8594	−	25.0217i	−1.04145	−	0.844440i
$879$	4.84786	−	2.36698i	0.163514	−	0.0798364i
$880$	−0.323268	+	0.329444i	−0.0108974	+	0.0111056i
$881$	−42.7317	−	4.87322i	−1.43967	−	0.164183i	−0.641734	−	0.766927i	$-0.721785\pi$
$881$	−42.7317	−	4.87322i	−1.43967	−	0.164183i	−0.797934	+	0.602745i	$0.794074\pi$
$882$	14.7632	+	7.91353i	0.497101	+	0.266463i
$883$	22.9001	−	20.0509i	0.770648	−	0.674766i	−0.180474	−	0.983580i	$-0.557763\pi$
$883$	22.9001	−	20.0509i	0.770648	−	0.674766i	0.951123	+	0.308814i	$0.0999319\pi$
$884$	−10.8839	+	8.16223i	−0.366066	+	0.274526i
$885$	1.08474	+	1.28723i	0.0364630	+	0.0432698i
$886$	2.04865	+	21.5852i	0.0688256	+	0.725169i
$887$	−2.87596	−	11.4527i	−0.0965652	−	0.384545i	0.902356	−	0.430992i	$-0.141836\pi$
$887$	−2.87596	−	11.4527i	−0.0965652	−	0.384545i	−0.998921	+	0.0464476i	$0.985210\pi$
$888$	1.07327	+	3.67864i	0.0360167	+	0.123447i
$889$	1.80434	+	13.5403i	0.0605157	+	0.454127i
$890$	0.883377	+	0.204139i	0.0296108	+	0.00684276i
$891$	33.9358	−	10.6019i	1.13689	−	0.355178i
$892$	−0.390968	−	0.369377i	−0.0130906	−	0.0123677i
$893$	5.29795	+	7.35035i	0.177289	+	0.245970i
$894$	−1.46701	+	3.49481i	−0.0490641	+	0.116884i
$895$	0.900864	−	0.0341145i	0.0301126	−	0.00114032i
$896$	0.323385	−	1.28779i	0.0108035	−	0.0430221i
$897$	21.6924	+	3.30960i	0.724288	+	0.110504i
$898$	10.9510	−	37.5346i	0.365441	−	1.25255i
$899$	16.0130	+	0.606390i	0.534064	+	0.0202242i
$900$	−6.72749	+	14.4668i	−0.224250	+	0.482228i
$901$	−5.70790	+	4.62813i	−0.190158	+	0.154185i
$902$	3.53922	+	20.5776i	0.117843	+	0.685160i
$903$	−21.6729	+	27.7882i	−0.721230	+	0.924735i
$904$	−14.2173	+	1.62138i	−0.472862	+	0.0539262i
$905$	0.110009	+	0.0437484i	0.00365682	+	0.00145425i
$906$	−35.9211	+	6.88050i	−1.19340	+	0.228589i
$907$	−31.7501	+	44.0499i	−1.05425	+	1.46265i	−0.176033	+	0.984384i	$0.556326\pi$
$907$	−31.7501	+	44.0499i	−1.05425	+	1.46265i	−0.878213	+	0.478270i	$0.841264\pi$
$908$	11.9549	+	19.5500i	0.396736	+	0.648791i
$909$	5.46698	−	0.414648i	0.181328	−	0.0137530i
$910$	0.359431	+	0.269549i	0.0119150	+	0.00893548i
$911$	−2.84460	−	50.0486i	−0.0942459	−	1.65818i	−0.603349	−	0.797477i	$-0.706167\pi$
$911$	−2.84460	−	50.0486i	−0.0942459	−	1.65818i	0.509103	−	0.860705i	$-0.329977\pi$
$912$	3.03497	−	0.823486i	0.100498	−	0.0272684i
$913$	−13.3743	−	26.1261i	−0.442623	−	0.864648i
$914$	−9.56036	−	0.725114i	−0.316228	−	0.0239847i
$915$	2.05259	+	1.79721i	0.0678566	+	0.0594140i
$916$	−8.51603	−	22.6537i	−0.281378	−	0.748498i
$917$	4.68267	−	1.08212i	0.154635	−	0.0357346i
$918$	1.86152	−	1.09046i	0.0614393	−	0.0359907i
$919$	−5.43818	+	3.18564i	−0.179389	+	0.105085i	−0.592409	−	0.805637i	$-0.701823\pi$
$919$	−5.43818	+	3.18564i	−0.179389	+	0.105085i	0.413020	+	0.910722i	$0.364474\pi$
$920$	−0.299314	+	0.0691685i	−0.00986811	+	0.00228042i
$921$	8.42364	+	22.4079i	0.277568	+	0.738364i
$922$	1.64747	+	1.44250i	0.0542565	+	0.0475061i
$923$	−6.41180	−	0.486309i	−0.211047	−	0.0160071i
$924$	6.40212	+	12.5063i	0.210614	+	0.411427i
$925$	−7.40975	+	2.01051i	−0.243631	+	0.0661051i
$926$	0.236715	+	4.16482i	0.00777894	+	0.136864i
$927$	22.9058	+	17.1778i	0.752324	+	0.564193i
$928$	5.81859	−	0.441317i	0.191005	−	0.0144869i
$929$	−11.7969	−	19.2918i	−0.387045	−	0.632944i	0.598742	−	0.800942i	$-0.295667\pi$
$929$	−11.7969	−	19.2918i	−0.387045	−	0.632944i	−0.985787	+	0.167998i	$0.946270\pi$
$930$	0.434144	−	0.602330i	0.0142362	−	0.0197512i
$931$	6.49677	−	1.24442i	0.212923	−	0.0407843i
$932$	1.85592	+	0.738062i	0.0607926	+	0.0241760i
$933$	47.9997	−	5.47399i	1.57144	−	0.179210i
$934$	−14.6536	+	18.7883i	−0.479481	+	0.614773i
$935$	0.341608	+	1.98617i	0.0111718	+	0.0649546i
$936$	−7.74076	+	6.27643i	−0.253015	+	0.205152i
$937$	2.19830	−	4.72723i	0.0718152	−	0.154432i	−0.867550	−	0.497349i	$-0.834307\pi$
$937$	2.19830	−	4.72723i	0.0718152	−	0.154432i	0.939366	+	0.342918i	$0.111415\pi$
$938$	−10.2973	−	0.389943i	−0.336218	−	0.0127321i
$939$	−17.2626	+	59.1674i	−0.563344	+	1.93086i
$940$	0.770106	+	0.117495i	0.0251181	+	0.00383226i
$941$	9.36322	−	37.2865i	0.305232	−	1.21550i	−0.603240	−	0.797560i	$-0.706124\pi$
$941$	9.36322	−	37.2865i	0.305232	−	1.21550i	0.908472	−	0.417945i	$-0.137250\pi$
$942$	−19.8065	+	0.750043i	−0.645329	+	0.0244377i
$943$	−5.37888	+	12.8140i	−0.175161	+	0.417280i
$944$	3.64042	+	5.05070i	0.118485	+	0.164386i
$945$	−0.0517881	−	0.0489282i	−0.00168467	−	0.00159164i
$946$	43.2470	−	13.5109i	1.40608	−	0.439276i
$947$	−14.0927	−	3.25669i	−0.457952	−	0.105828i	−0.0101262	−	0.999949i	$-0.503223\pi$
$947$	−14.0927	−	3.25669i	−0.457952	−	0.105828i	−0.447826	+	0.894121i	$0.647802\pi$
$948$	2.05033	+	15.3863i	0.0665916	+	0.499722i
$949$	−6.63229	−	22.7321i	−0.215293	−	0.737916i
$950$	1.53454	+	6.11088i	0.0497870	+	0.198263i
$951$	3.84691	+	40.5323i	0.124745	+	1.31435i
$952$	−3.73592	−	4.43333i	−0.121082	−	0.143685i
$953$	−11.7671	+	8.82455i	−0.381174	+	0.285855i	−0.773280	−	0.634065i	$-0.781385\pi$
$953$	−11.7671	+	8.82455i	−0.381174	+	0.285855i	0.392106	+	0.919920i	$0.371747\pi$
$954$	−4.04988	+	3.54600i	−0.131120	+	0.114806i
$955$	−2.21349	−	1.18650i	−0.0716269	−	0.0383944i
$956$	8.43751	+	0.962232i	0.272889	+	0.0311208i
$957$	−43.2457	+	44.0720i	−1.39794	+	1.42465i
$958$	−29.1815	+	14.2479i	−0.942810	+	0.460330i
$959$	−4.69931	−	3.81034i	−0.151749	−	0.123042i
$960$	0.132223	−	0.235839i	0.00426747	−	0.00761166i
$961$	−17.0520	+	16.1104i	−0.550065	+	0.519689i
$962$	−4.71002	−	0.902180i	−0.151857	−	0.0290875i
$963$	−28.7048	−	18.3082i	−0.924999	−	0.589973i
$964$	2.58131	+	3.88306i	0.0831385	+	0.125065i
$965$	2.38671	−	1.65257i	0.0768311	−	0.0531980i
$966$	−0.883548	+	9.30935i	−0.0284277	+	0.299523i
$967$	6.87395	−	1.04876i	0.221051	−	0.0337257i	−0.0393529	−	0.999225i	$-0.512530\pi$
$967$	6.87395	−	1.04876i	0.221051	−	0.0337257i	0.260404	+	0.965500i	$0.416144\pi$
$968$	0.933019	−	7.00164i	0.0299884	−	0.225041i
$969$	4.83165	−	12.8528i	0.155215	−	0.412890i
$970$	1.01307	−	0.543040i	0.0325278	−	0.0174360i
$971$	52.2820	−	20.7915i	1.67781	−	0.667232i	0.679989	−	0.733222i	$-0.261984\pi$
$971$	52.2820	−	20.7915i	1.67781	−	0.667232i	0.997820	+	0.0659901i	$0.0210206\pi$
$972$	−18.8089	+	11.9965i	−0.603296	+	0.384788i
$973$	21.7530	+	9.61938i	0.697370	+	0.308383i
$974$	−9.86977	+	10.8509i	−0.316248	+	0.347684i
$975$	−23.7970	−	30.5117i	−0.762115	−	0.977155i
$976$	7.06719	+	7.20222i	0.226215	+	0.230537i
$977$	−50.9146	−	18.0479i	−1.62890	−	0.577403i	−0.646294	−	0.763089i	$-0.723682\pi$
$977$	−50.9146	−	18.0479i	−1.62890	−	0.577403i	−0.982609	+	0.185686i	$0.940549\pi$
$978$	−16.2685	+	48.8089i	−0.520208	+	1.56074i
$979$	−32.4516	+	14.3504i	−1.03716	+	0.458640i
$980$	0.314851	−	0.473630i	0.0100576	−	0.0151296i
$981$	0.316655	+	16.7299i	0.0101100	+	0.534144i
$982$	14.2907	−	5.06566i	0.456033	−	0.161652i
$983$	49.0068	+	23.9277i	1.56307	+	0.763176i	0.998081	−	0.0619195i	$-0.0197222\pi$
$983$	49.0068	+	23.9277i	1.56307	+	0.763176i	0.564993	+	0.825096i	$0.308879\pi$
$984$	−5.15744	−	11.0906i	−0.164413	−	0.353555i
$985$	0.235484	+	0.560987i	0.00750315	+	0.0178745i
$986$	13.2922	−	21.7371i	0.423310	−	0.692249i
$987$	10.8055	−	21.1082i	0.343943	−	0.671880i
$988$	−0.813380	+	3.85053i	−0.0258771	+	0.122502i
$989$	29.1039	+	7.89685i	0.925452	+	0.251105i
$990$	0.305112	+	1.44440i	0.00969711	+	0.0459060i
$991$	3.31309	−	58.2912i	0.105244	−	1.85168i	−0.321008	−	0.947076i	$-0.604022\pi$
$991$	3.31309	−	58.2912i	0.105244	−	1.85168i	0.426252	−	0.904604i	$-0.359834\pi$
$992$	1.76960	−	2.09994i	0.0561847	−	0.0666731i
$993$	25.9614	+	17.9757i	0.823859	+	0.570441i
$994$	0.0518565	−	2.73974i	0.00164479	−	0.0868994i
$995$	−0.912929	−	2.73898i	−0.0289418	−	0.0868316i
$996$	11.5688	+	12.7187i	0.366570	+	0.403009i
$997$	0.233485	−	1.35752i	0.00739453	−	0.0429930i	−0.981598	−	0.190961i	$-0.938840\pi$
$997$	0.233485	−	1.35752i	0.00739453	−	0.0429930i	0.988992	+	0.147968i	$0.0472733\pi$
$998$	10.7378	+	19.1525i	0.339900	+	0.606262i
$999$	0.725894	+	0.226777i	0.0229663	+	0.00717492i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	334.2.c.a.107.2	✓	574
167.64	even	83	inner	334.2.c.a.231.2	yes	574

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
334.2.c.a.107.2	✓	574	1.1	even	1	trivial
334.2.c.a.231.2	yes	574	167.64	even	83	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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$q$ -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	334.2.c.a.107.2

Level	$334$
Weight	$2$
Character	334.107
Analytic conductor	$2.667$
Analytic rank	$0$
Dimension	$574$
Inner twists	$2$