LMFDB - Embedded newform 980.2.o.f.411.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [980,2,Mod(31,980)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(980, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 0, 1]))

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

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

chi := DirichletCharacter("980.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$N$	$=$	$980 = 2^{2} \cdot 5 \cdot 7^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	980.o (of order $6$ , degree $2$ , not minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$7.82533939809$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$16$ over $\Q(\zeta_{6})$
Twist minimal:	no (minimal twist has level 140)
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			411.7
Character	$\chi$	$=$	980.411
Dual form			980.2.o.f.31.7

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.397222 - 1.35728i) q^{2} +(-0.556469 - 0.963833i) q^{3} +(-1.68443 + 1.07828i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(-1.08715 + 1.13814i) q^{6} +(2.13263 + 1.85793i) q^{8} +(0.880685 - 1.52539i) q^{9} +(-0.334637 + 1.37405i) q^{10} +(1.48417 - 0.856885i) q^{11} +(1.97662 + 1.02348i) q^{12} -2.45950i q^{13} +1.11294i q^{15} +(1.67460 - 3.63259i) q^{16} +(5.38574 - 3.10946i) q^{17} +(-2.42021 - 0.589419i) q^{18} +(0.108256 - 0.187505i) q^{19} +(1.99790 - 0.0916073i) q^{20} +(-1.75258 - 1.67406i) q^{22} +(-5.68681 - 3.28328i) q^{23} +(0.603989 - 3.08938i) q^{24} +(0.500000 + 0.866025i) q^{25} +(-3.33823 + 0.976966i) q^{26} -5.29911 q^{27} -2.47123 q^{29} +(1.51057 - 0.442083i) q^{30} +(-0.0819131 - 0.141878i) q^{31} +(-5.59564 - 0.829966i) q^{32} +(-1.65179 - 0.953659i) q^{33} +(-6.35975 - 6.07482i) q^{34} +(0.161354 + 3.51904i) q^{36} +(-3.84840 + 6.66562i) q^{37} +(-0.297500 - 0.0724531i) q^{38} +(-2.37054 + 1.36863i) q^{39} +(-0.917947 - 2.67533i) q^{40} +8.34130i q^{41} +1.89449i q^{43} +(-1.57601 + 3.04372i) q^{44} +(-1.52539 + 0.880685i) q^{45} +(-2.19741 + 9.02280i) q^{46} +(5.85225 - 10.1364i) q^{47} +(-4.43307 + 0.407385i) q^{48} +(0.976830 - 1.02265i) q^{50} +(-5.99399 - 3.46063i) q^{51} +(2.65204 + 4.14285i) q^{52} +(-6.51382 - 11.2823i) q^{53} +(2.10492 + 7.19238i) q^{54} -1.71377 q^{55} -0.240965 q^{57} +(0.981628 + 3.35416i) q^{58} +(2.14379 + 3.71315i) q^{59} +(-1.20006 - 1.87467i) q^{60} +(-6.06251 - 3.50019i) q^{61} +(-0.160030 + 0.167536i) q^{62} +(1.09621 + 7.92454i) q^{64} +(-1.22975 + 2.12999i) q^{65} +(-0.638259 + 2.62076i) q^{66} +(4.48095 - 2.58708i) q^{67} +(-5.71902 + 11.0450i) q^{68} +7.30818i q^{69} +5.04201i q^{71} +(4.71224 - 1.61684i) q^{72} +(-6.59493 + 3.80759i) q^{73} +(10.5758 + 2.57563i) q^{74} +(0.556469 - 0.963833i) q^{75} +(0.0198341 + 0.432571i) q^{76} +(2.79925 + 2.67384i) q^{78} +(-13.8125 - 7.97463i) q^{79} +(-3.26654 + 2.30861i) q^{80} +(0.306736 + 0.531282i) q^{81} +(11.3215 - 3.31335i) q^{82} -5.47827 q^{83} -6.21892 q^{85} +(2.57136 - 0.752534i) q^{86} +(1.37516 + 2.38185i) q^{87} +(4.75721 + 0.930059i) q^{88} +(1.54471 + 0.891838i) q^{89} +(1.80126 + 1.72056i) q^{90} +(13.1193 - 0.601545i) q^{92} +(-0.0911642 + 0.157901i) q^{93} +(-16.0826 - 3.91676i) q^{94} +(-0.187505 + 0.108256i) q^{95} +(2.31385 + 5.85511i) q^{96} -10.5305i q^{97} -3.01858i q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$32 q + 2 q^{2} - 2 q^{4} - 4 q^{8} - 16 q^{9} + 30 q^{12} - 14 q^{16} - 8 q^{22} - 36 q^{24} + 16 q^{25} - 30 q^{26} - 40 q^{29} + 2 q^{32} + 60 q^{36} + 8 q^{37} + 60 q^{38} - 18 q^{44} - 12 q^{45} + 2 q^{46}+ \cdots + 60 q^{96}+O(q^{100})$ 32 * q + 2 * q^2 - 2 * q^4 - 4 * q^8 - 16 * q^9 + 30 * q^12 - 14 * q^16 - 8 * q^22 - 36 * q^24 + 16 * q^25 - 30 * q^26 - 40 * q^29 + 2 * q^32 + 60 * q^36 + 8 * q^37 + 60 * q^38 - 18 * q^44 - 12 * q^45 + 2 * q^46 + 4 * q^50 + 36 * q^52 - 8 * q^53 - 12 * q^54 + 48 * q^57 + 2 * q^58 + 14 * q^60 - 24 * q^61 + 4 * q^64 + 4 * q^65 - 24 * q^66 - 60 * q^68 + 4 * q^72 + 72 * q^73 + 38 * q^74 + 120 * q^78 - 36 * q^81 - 42 * q^82 + 28 * q^86 + 4 * q^88 + 60 * q^89 - 4 * q^92 - 8 * q^93 - 18 * q^94 + 60 * q^96

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/980\mathbb{Z}\right)^\times$ .

$n$	$101$	$197$	$491$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$1$	$-1$

Coefficient data

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

Display

a_p

with

p

up to: 50 250 1000 (See

a_n

instead) (See

a_n

instead) (See

a_n

instead) Display

a_n

with

n

up to: 50 250 1000 (See only

a_p

) (See only

a_p

) (See only

a_p

)

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

$2$	−0.397222	−	1.35728i	−0.280878	−	0.959743i
$2$	−0.397222	−	1.35728i	−0.280878	−	0.959743i
$3$	−0.556469	−	0.963833i	−0.321278	−	0.556469i	0.659474	−	0.751727i	$-0.270779\pi$
$3$	−0.556469	−	0.963833i	−0.321278	−	0.556469i	−0.980752	+	0.195258i	$0.937446\pi$
$4$	−1.68443	+	1.07828i	−0.842215	+	0.539142i
$5$	−0.866025	−	0.500000i	−0.387298	−	0.223607i
$5$	−0.866025	−	0.500000i	−0.387298	−	0.223607i
$6$	−1.08715	+	1.13814i	−0.443827	+	0.464644i
$7$		0			0
$7$		0			0
$8$	2.13263	+	1.85793i	0.753998	+	0.656876i
$9$	0.880685	−	1.52539i	0.293562	−	0.508463i
$10$	−0.334637	+	1.37405i	−0.105821	+	0.434513i
$11$	1.48417	−	0.856885i	0.447493	−	0.258360i	−0.259278	−	0.965803i	$-0.583484\pi$
$11$	1.48417	−	0.856885i	0.447493	−	0.258360i	0.706771	+	0.707442i	$0.250151\pi$
$12$	1.97662	+	1.02348i	0.570601	+	0.295452i
$13$		−	2.45950i		−	0.682142i	−0.940038	−	0.341071i	$-0.889210\pi$
$13$		−	2.45950i		−	0.682142i	0.940038	−	0.341071i	$-0.110790\pi$
$14$		0			0
$15$			1.11294i			0.287359i
$16$	1.67460	−	3.63259i	0.418651	−	0.908147i
$17$	5.38574	−	3.10946i	1.30623	−	0.754155i	0.324768	−	0.945794i	$-0.394714\pi$
$17$	5.38574	−	3.10946i	1.30623	−	0.754155i	0.981465	+	0.191639i	$0.0613803\pi$
$18$	−2.42021	−	0.589419i	−0.570450	−	0.138927i
$19$	0.108256	−	0.187505i	0.0248357	−	0.0430167i	−0.853340	−	0.521354i	$-0.825427\pi$
$19$	0.108256	−	0.187505i	0.0248357	−	0.0430167i	0.878176	+	0.478337i	$0.158760\pi$
$20$	1.99790	−	0.0916073i	0.446744	−	0.0204840i
$21$		0			0
$22$	−1.75258	−	1.67406i	−0.373651	−	0.356911i
$23$	−5.68681	−	3.28328i	−1.18578	−	0.684612i	−0.228437	−	0.973559i	$-0.573362\pi$
$23$	−5.68681	−	3.28328i	−1.18578	−	0.684612i	−0.957345	+	0.288947i	$0.906695\pi$
$24$	0.603989	−	3.08938i	0.123289	−	0.630616i
$25$	0.500000	+	0.866025i	0.100000	+	0.173205i
$26$	−3.33823	+	0.976966i	−0.654681	+	0.191599i
$27$	−5.29911			−1.01981
$28$		0			0
$29$	−2.47123			−0.458896			−0.229448	−	0.973321i	$-0.573692\pi$
$29$	−2.47123			−0.458896			−0.229448	+	0.973321i	$0.573692\pi$
$30$	1.51057	−	0.442083i	0.275791	−	0.0807130i
$31$	−0.0819131	−	0.141878i	−0.0147120	−	0.0254820i	0.858576	−	0.512687i	$-0.171350\pi$
$31$	−0.0819131	−	0.141878i	−0.0147120	−	0.0254820i	−0.873288	+	0.487205i	$0.838016\pi$
$32$	−5.59564	−	0.829966i	−0.989178	−	0.146719i
$33$	−1.65179	−	0.953659i	−0.287539	−	0.166011i
$34$	−6.35975	−	6.07482i	−1.09069	−	1.04182i
$35$		0			0
$36$	0.161354	+	3.51904i	0.0268924	+	0.586507i
$37$	−3.84840	+	6.66562i	−0.632673	+	1.09582i	0.354331	+	0.935120i	$0.384709\pi$
$37$	−3.84840	+	6.66562i	−0.632673	+	1.09582i	−0.987003	+	0.160701i	$0.948625\pi$
$38$	−0.297500	−	0.0724531i	−0.0482608	−	0.0117534i
$39$	−2.37054	+	1.36863i	−0.379591	+	0.219157i
$40$	−0.917947	−	2.67533i	−0.145140	−	0.423006i
$41$			8.34130i			1.30269i	0.758781	+	0.651346i	$0.225795\pi$
$41$			8.34130i			1.30269i	−0.758781	+	0.651346i	$0.774205\pi$
$42$		0			0
$43$			1.89449i			0.288907i	0.989512	+	0.144454i	$0.0461425\pi$
$43$			1.89449i			0.288907i	−0.989512	+	0.144454i	$0.953858\pi$
$44$	−1.57601	+	3.04372i	−0.237592	+	0.458858i
$45$	−1.52539	+	0.880685i	−0.227392	+	0.131285i
$46$	−2.19741	+	9.02280i	−0.323991	+	1.33034i
$47$	5.85225	−	10.1364i	0.853639	−	1.47855i	−0.0242630	−	0.999706i	$-0.507724\pi$
$47$	5.85225	−	10.1364i	0.853639	−	1.47855i	0.877902	−	0.478840i	$-0.158943\pi$
$48$	−4.43307	+	0.407385i	−0.639859	+	0.0588010i
$49$		0			0
$50$	0.976830	−	1.02265i	0.138145	−	0.144624i
$51$	−5.99399	−	3.46063i	−0.839327	−	0.484586i
$52$	2.65204	+	4.14285i	0.367771	+	0.574510i
$53$	−6.51382	−	11.2823i	−0.894743	−	1.54974i	−0.834123	−	0.551579i	$-0.814026\pi$
$53$	−6.51382	−	11.2823i	−0.894743	−	1.54974i	−0.0606196	−	0.998161i	$-0.519308\pi$
$54$	2.10492	+	7.19238i	0.286444	+	0.978760i
$55$	−1.71377			−0.231085
$56$		0			0
$57$	−0.240965			−0.0319166
$58$	0.981628	+	3.35416i	0.128894	+	0.440423i
$59$	2.14379	+	3.71315i	0.279098	+	0.483411i	0.971161	−	0.238426i	$-0.0766313\pi$
$59$	2.14379	+	3.71315i	0.279098	+	0.483411i	−0.692063	+	0.721837i	$0.743298\pi$
$60$	−1.20006	−	1.87467i	−0.154928	−	0.242018i
$61$	−6.06251	−	3.50019i	−0.776225	−	0.448154i	0.0588657	−	0.998266i	$-0.481252\pi$
$61$	−6.06251	−	3.50019i	−0.776225	−	0.448154i	−0.835091	+	0.550112i	$0.814585\pi$
$62$	−0.160030	+	0.167536i	−0.0203239	+	0.0212771i
$63$		0			0
$64$	1.09621	+	7.92454i	0.137027	+	0.990567i
$65$	−1.22975	+	2.12999i	−0.152531	+	0.264192i
$66$	−0.638259	+	2.62076i	−0.0785642	+	0.322593i
$67$	4.48095	−	2.58708i	0.547435	−	0.316062i	−0.200652	−	0.979663i	$-0.564306\pi$
$67$	4.48095	−	2.58708i	0.547435	−	0.316062i	0.748087	+	0.663601i	$0.230973\pi$
$68$	−5.71902	+	11.0450i	−0.693533	+	1.33941i
$69$			7.30818i			0.879801i
$70$		0			0
$71$			5.04201i			0.598376i	0.954194	+	0.299188i	$0.0967158\pi$
$71$			5.04201i			0.598376i	−0.954194	+	0.299188i	$0.903284\pi$
$72$	4.71224	−	1.61684i	0.555343	−	0.190547i
$73$	−6.59493	+	3.80759i	−0.771878	+	0.445644i	−0.833544	−	0.552453i	$-0.813692\pi$
$73$	−6.59493	+	3.80759i	−0.771878	+	0.445644i	0.0616659	+	0.998097i	$0.480359\pi$
$74$	10.5758	+	2.57563i	1.22941	+	0.299411i
$75$	0.556469	−	0.963833i	0.0642555	−	0.111294i
$76$	0.0198341	+	0.432571i	0.00227513	+	0.0496193i
$77$		0			0
$78$	2.79925	+	2.67384i	0.316953	+	0.302753i
$79$	−13.8125	−	7.97463i	−1.55402	−	0.897216i	−0.997808	−	0.0661781i	$-0.978919\pi$
$79$	−13.8125	−	7.97463i	−1.55402	−	0.897216i	−0.556216	−	0.831038i	$-0.687747\pi$
$80$	−3.26654	+	2.30861i	−0.365211	+	0.258111i
$81$	0.306736	+	0.531282i	0.0340817	+	0.0590313i
$82$	11.3215	−	3.31335i	1.25025	−	0.365898i
$83$	−5.47827			−0.601318			−0.300659	−	0.953732i	$-0.597207\pi$
$83$	−5.47827			−0.601318			−0.300659	+	0.953732i	$0.597207\pi$
$84$		0			0
$85$	−6.21892			−0.674536
$86$	2.57136	−	0.752534i	0.277277	−	0.0811479i
$87$	1.37516	+	2.38185i	0.147433	+	0.255362i
$88$	4.75721	+	0.930059i	0.507120	+	0.0991446i
$89$	1.54471	+	0.891838i	0.163739	+	0.0945347i	0.579630	−	0.814880i	$-0.303197\pi$
$89$	1.54471	+	0.891838i	0.163739	+	0.0945347i	−0.415891	+	0.909414i	$0.636530\pi$
$90$	1.80126	+	1.72056i	0.189869	+	0.181363i
$91$		0			0
$92$	13.1193	−	0.601545i	1.36779	−	0.0627154i
$93$	−0.0911642	+	0.157901i	−0.00945329	+	0.0163736i
$94$	−16.0826	−	3.91676i	−1.65879	−	0.403983i
$95$	−0.187505	+	0.108256i	−0.0192376	+	0.0111069i
$96$	2.31385	+	5.85511i	0.236156	+	0.597584i
$97$		−	10.5305i		−	1.06921i	−0.845101	−	0.534606i	$-0.820460\pi$
$97$		−	10.5305i		−	1.06921i	0.845101	−	0.534606i	$-0.179540\pi$
$98$		0			0
$99$		−	3.01858i		−	0.303379i
$100$	−1.77604	−	0.919616i	−0.177604	−	0.0919616i
$101$	0.389513	−	0.224885i	0.0387580	−	0.0223769i	−0.480496	−	0.876997i	$-0.659543\pi$
$101$	0.389513	−	0.224885i	0.0387580	−	0.0223769i	0.519254	+	0.854620i	$0.326210\pi$
$102$	−2.31611	+	9.51018i	−0.229329	+	0.941648i
$103$	4.64098	−	8.03841i	0.457289	−	0.792048i	−0.541527	−	0.840683i	$-0.682154\pi$
$103$	4.64098	−	8.03841i	0.457289	−	0.792048i	0.998817	+	0.0486348i	$0.0154871\pi$
$104$	4.56957	−	5.24519i	0.448083	−	0.514334i
$105$		0			0
$106$	−12.7258	+	13.3227i	−1.23604	+	1.29401i
$107$	16.0423	+	9.26201i	1.55086	+	0.895392i	0.998072	+	0.0620738i	$0.0197714\pi$
$107$	16.0423	+	9.26201i	1.55086	+	0.895392i	0.552793	+	0.833318i	$0.313562\pi$
$108$	8.92597	−	5.71395i	0.858902	−	0.549825i
$109$	3.48557	+	6.03718i	0.333857	+	0.578257i	0.983265	−	0.182183i	$-0.0583164\pi$
$109$	3.48557	+	6.03718i	0.333857	+	0.578257i	−0.649408	+	0.760441i	$0.724983\pi$
$110$	0.680747	+	2.32607i	0.0649067	+	0.221782i
$111$	8.56605			0.813054
$112$		0			0
$113$	0.333646			0.0313868			0.0156934	−	0.999877i	$-0.495004\pi$
$113$	0.333646			0.0313868			0.0156934	+	0.999877i	$0.495004\pi$
$114$	0.0957166	+	0.327058i	0.00896468	+	0.0306317i
$115$	3.28328	+	5.68681i	0.306168	+	0.530298i
$116$	4.16262	−	2.66469i	0.386489	−	0.247411i
$117$	−3.75169	−	2.16604i	−0.346844	−	0.200251i
$118$	4.18824	−	4.38467i	0.385558	−	0.403642i
$119$		0			0
$120$	−2.06776	+	2.37348i	−0.188760	+	0.216668i
$121$	−4.03150	+	6.98276i	−0.366500	+	0.634796i
$122$	−2.34259	+	9.61889i	−0.212088	+	0.870854i
$123$	8.03962	−	4.64168i	0.724908	−	0.418526i
$124$	0.290961	+	0.150657i	0.0261291	+	0.0135294i
$125$		−	1.00000i		−	0.0894427i
$126$		0			0
$127$		−	15.8806i		−	1.40918i	−0.709616	−	0.704589i	$-0.751131\pi$
$127$		−	15.8806i		−	1.40918i	0.709616	−	0.704589i	$-0.248869\pi$
$128$	10.3204	−	4.63567i	0.912203	−	0.409739i
$129$	1.82597	−	1.05423i	0.160768	−	0.0928195i
$130$	3.37948	+	0.823038i	0.296400	+	0.0721852i
$131$	−1.60328	+	2.77697i	−0.140080	+	0.242625i	−0.927526	−	0.373758i	$-0.878069\pi$
$131$	−1.60328	+	2.77697i	−0.140080	+	0.242625i	0.787447	+	0.616383i	$0.211402\pi$
$132$	3.81063	−	0.174724i	0.331673	−	0.0152078i
$133$		0			0
$134$	−5.29133	−	5.05427i	−0.457101	−	0.436622i
$135$	4.58916	+	2.64955i	0.394972	+	0.228037i
$136$	17.2629	+	3.37499i	1.48028	+	0.289403i
$137$	−0.651787	−	1.12893i	−0.0556859	−	0.0964508i	0.836839	−	0.547450i	$-0.184401\pi$
$137$	−0.651787	−	1.12893i	−0.0556859	−	0.0964508i	−0.892525	+	0.450999i	$0.851068\pi$
$138$	9.91926	−	2.90297i	0.844383	−	0.247117i
$139$	−20.8813			−1.77113			−0.885563	−	0.464519i	$-0.846227\pi$
$139$	−20.8813			−1.77113			−0.885563	+	0.464519i	$0.846227\pi$
$140$		0			0
$141$	−13.0264			−1.09702
$142$	6.84343	−	2.00280i	0.574288	−	0.168071i
$143$	−2.10750	−	3.65031i	−0.176238	−	0.305254i
$144$	−4.06632	−	5.75359i	−0.338860	−	0.479466i
$145$	2.14015	+	1.23562i	0.177730	+	0.102612i
$146$	7.78762	+	7.43873i	0.644508	+	0.615633i
$147$		0			0
$148$	−0.705083	−	15.3774i	−0.0579574	−	1.26402i
$149$	−4.86747	+	8.43071i	−0.398759	+	0.690670i	−0.993573	−	0.113193i	$-0.963892\pi$
$149$	−4.86747	+	8.43071i	−0.398759	+	0.690670i	0.594814	+	0.803863i	$0.297226\pi$
$150$	−1.52923	−	0.372430i	−0.124861	−	0.0304088i
$151$	12.9360	−	7.46858i	1.05271	−	0.607784i	0.129306	−	0.991605i	$-0.458725\pi$
$151$	12.9360	−	7.46858i	1.05271	−	0.607784i	0.923408	+	0.383821i	$0.125392\pi$
$152$	0.579242	−	0.198747i	0.0469827	−	0.0161205i
$153$		−	10.9538i		−	0.885563i
$154$		0			0
$155$			0.163826i			0.0131588i
$156$	2.51723	−	4.86149i	0.201540	−	0.389230i
$157$	−7.12273	+	4.11231i	−0.568456	+	0.328198i	−0.756532	−	0.653956i	$-0.773108\pi$
$157$	−7.12273	+	4.11231i	−0.568456	+	0.328198i	0.188076	+	0.982154i	$0.439775\pi$
$158$	−5.33721	+	21.9151i	−0.424605	+	1.74347i
$159$	−7.24948	+	12.5565i	−0.574921	+	0.995793i
$160$	4.43098	+	3.51659i	0.350300	+	0.278011i
$161$		0			0
$162$	0.599257	−	0.627364i	0.0470821	−	0.0492903i
$163$	−10.3807	−	5.99330i	−0.813079	−	0.469431i	0.0349450	−	0.999389i	$-0.488874\pi$
$163$	−10.3807	−	5.99330i	−0.813079	−	0.469431i	−0.848024	+	0.529958i	$0.822208\pi$
$164$	−8.99430	−	14.0503i	−0.702337	−	1.09715i
$165$	0.953659	+	1.65179i	0.0742423	+	0.128591i
$166$	2.17609	+	7.43555i	0.168897	+	0.577111i
$167$	14.8103			1.14606			0.573029	−	0.819535i	$-0.305768\pi$
$167$	14.8103			1.14606			0.573029	+	0.819535i	$0.305768\pi$
$168$		0			0
$169$	6.95088			0.534683
$170$	2.47029	+	8.44083i	0.189463	+	0.647382i
$171$	−0.190679	−	0.330266i	−0.0145816	−	0.0252561i
$172$	−2.04280	−	3.19114i	−0.155762	−	0.243322i
$173$	−13.5281	−	7.81044i	−1.02852	−	0.593817i	−0.111960	−	0.993713i	$-0.535713\pi$
$173$	−13.5281	−	7.81044i	−1.02852	−	0.593817i	−0.916561	+	0.399896i	$0.869046\pi$
$174$	2.68660	−	2.81261i	0.203671	−	0.213224i
$175$		0			0
$176$	−0.627316	−	6.82631i	−0.0472857	−	0.514553i
$177$	2.38591	−	4.13251i	0.179336	−	0.310618i
$178$	0.596884	−	2.45086i	0.0447383	−	0.183700i
$179$	−5.53306	+	3.19451i	−0.413560	+	0.238769i	−0.692318	−	0.721592i	$-0.743411\pi$
$179$	−5.53306	+	3.19451i	−0.413560	+	0.238769i	0.278758	+	0.960361i	$0.410077\pi$
$180$	1.61978	−	3.12826i	0.120732	−	0.233166i
$181$			1.18770i			0.0882808i	0.999025	+	0.0441404i	$0.0140549\pi$
$181$			1.18770i			0.0882808i	−0.999025	+	0.0441404i	$0.985945\pi$
$182$		0			0
$183$			7.79100i			0.575927i
$184$	−6.02776	−	17.5677i	−0.444372	−	1.29511i
$185$	6.66562	−	3.84840i	0.490066	−	0.282940i
$186$	0.250529	+	0.0610138i	0.0183697	+	0.00447375i
$187$	5.32890	−	9.22992i	0.389687	−	0.674958i
$188$	1.07222	+	23.3844i	0.0781996	+	1.70549i
$189$		0			0
$190$	0.221416	+	0.211496i	0.0160632	+	0.0153435i
$191$	9.14608	+	5.28049i	0.661787	+	0.382083i	0.792958	−	0.609277i	$-0.208540\pi$
$191$	9.14608	+	5.28049i	0.661787	+	0.382083i	−0.131170	+	0.991360i	$0.541874\pi$
$192$	7.02792	−	5.46633i	0.507196	−	0.394498i
$193$	−2.70403	−	4.68353i	−0.194641	−	0.337128i	0.752142	−	0.659001i	$-0.229021\pi$
$193$	−2.70403	−	4.68353i	−0.194641	−	0.337128i	−0.946783	+	0.321874i	$0.895687\pi$
$194$	−14.2929	+	4.18295i	−1.02617	+	0.300319i
$195$	2.73727			0.196020
$196$		0			0
$197$	17.9504			1.27892			0.639458	−	0.768826i	$-0.279159\pi$
$197$	17.9504			1.27892			0.639458	+	0.768826i	$0.279159\pi$
$198$	−4.09707	+	1.19905i	−0.291166	+	0.0852125i
$199$	−3.82538	−	6.62575i	−0.271174	−	0.469687i	0.697989	−	0.716109i	$-0.254079\pi$
$199$	−3.82538	−	6.62575i	−0.271174	−	0.469687i	−0.969163	+	0.246422i	$0.920745\pi$
$200$	−0.542698	+	2.77587i	−0.0383745	+	0.196284i
$201$	−4.98702	−	2.87926i	−0.351757	−	0.203087i
$202$	−0.459956	−	0.439349i	−0.0323624	−	0.0309125i
$203$		0			0
$204$	13.8280	−	0.634039i	0.968154	−	0.0443916i
$205$	4.17065	−	7.22378i	0.291291	−	0.504531i
$206$	−12.7539	−	3.10608i	−0.888606	−	0.216411i
$207$	−10.0166	+	5.78307i	−0.696200	+	0.401951i
$208$	−8.93434	−	4.11868i	−0.619485	−	0.285579i
$209$		−	0.371053i		−	0.0256662i
$210$		0			0
$211$		−	15.5710i		−	1.07195i	−0.844234	−	0.535975i	$-0.819944\pi$
$211$		−	15.5710i		−	1.07195i	0.844234	−	0.535975i	$-0.180056\pi$
$212$	23.1376	+	11.9804i	1.58910	+	0.822820i
$213$	4.85965	−	2.80572i	0.332978	−	0.192245i
$214$	6.19882	−	25.4530i	0.423742	−	1.73993i
$215$	0.947246	−	1.64068i	0.0646017	−	0.111893i
$216$	−11.3010	−	9.84536i	−0.768938	−	0.669892i
$217$		0			0
$218$	6.80962	−	7.12900i	0.461205	−	0.482837i
$219$	7.33975	+	4.23761i	0.495974	+	0.286351i
$220$	2.88672	−	1.84793i	0.194623	−	0.124588i
$221$	−7.64770	−	13.2462i	−0.514440	−	0.891036i
$222$	−3.40263	−	11.6266i	−0.228369	−	0.780323i
$223$	11.4678			0.767938			0.383969	−	0.923346i	$-0.374557\pi$
$223$	11.4678			0.767938			0.383969	+	0.923346i	$0.374557\pi$
$224$		0			0
$225$	1.76137			0.117425
$226$	−0.132532	−	0.452852i	−0.00881587	−	0.0301233i
$227$	4.47718	+	7.75470i	0.297161	+	0.514697i	0.975485	−	0.220065i	$-0.0706270\pi$
$227$	4.47718	+	7.75470i	0.297161	+	0.514697i	−0.678325	+	0.734762i	$0.737294\pi$
$228$	0.405889	−	0.259829i	0.0268806	−	0.0172076i
$229$	2.08431	+	1.20337i	0.137735	+	0.0795212i	0.567284	−	0.823522i	$-0.307994\pi$
$229$	2.08431	+	1.20337i	0.137735	+	0.0795212i	−0.429549	+	0.903043i	$0.641328\pi$
$230$	6.41442	−	6.71527i	0.422954	−	0.442792i
$231$		0			0
$232$	−5.27022	−	4.59137i	−0.346007	−	0.301438i
$233$	1.28038	−	2.21768i	0.0838803	−	0.145285i	−0.821033	−	0.570880i	$-0.806602\pi$
$233$	1.28038	−	2.21768i	0.0838803	−	0.145285i	0.904914	+	0.425595i	$0.139935\pi$
$234$	−1.44967	+	5.95250i	−0.0947681	+	0.389127i
$235$	−10.1364	+	5.85225i	−0.661226	+	0.381759i
$236$	−7.61490	−	3.94293i	−0.495688	−	0.256663i
$237$			17.7505i			1.15302i
$238$		0			0
$239$		−	6.31200i		−	0.408289i	−0.978941	−	0.204145i	$-0.934559\pi$
$239$		−	6.31200i		−	0.408289i	0.978941	−	0.204145i	$-0.0654413\pi$
$240$	4.04285	+	1.86373i	0.260965	+	0.120303i
$241$	−8.33650	+	4.81308i	−0.537001	+	0.310038i	−0.743863	−	0.668332i	$-0.767008\pi$
$241$	−8.33650	+	4.81308i	−0.537001	+	0.310038i	0.206862	+	0.978370i	$0.433675\pi$
$242$	11.0790	+	2.69817i	0.712183	+	0.173445i
$243$	−7.60728	+	13.1762i	−0.488008	+	0.845254i
$244$	13.9861	−	0.641286i	0.895367	−	0.0410542i
$245$		0			0
$246$	−9.49358	−	9.06825i	−0.605288	−	0.578171i
$247$	−0.461169	−	0.266256i	−0.0293435	−	0.0169415i
$248$	0.0889081	−	0.454761i	0.00564567	−	0.0288773i
$249$	3.04848	+	5.28013i	0.193190	+	0.334615i
$250$	−1.35728	+	0.397222i	−0.0858421	+	0.0251225i
$251$	24.9508			1.57488			0.787440	−	0.616391i	$-0.211406\pi$
$251$	24.9508			1.57488			0.787440	+	0.616391i	$0.211406\pi$
$252$		0			0
$253$	−11.2536			−0.707506
$254$	−21.5545	+	6.30813i	−1.35245	+	0.395808i
$255$	3.46063	+	5.99399i	0.216713	+	0.375359i
$256$	−10.3914	−	12.1663i	−0.649463	−	0.760394i
$257$	14.7019	+	8.48813i	0.917078	+	0.529475i	0.882702	−	0.469934i	$-0.155722\pi$
$257$	14.7019	+	8.48813i	0.917078	+	0.529475i	0.0343764	+	0.999409i	$0.489056\pi$
$258$	−2.15620	−	2.05960i	−0.134239	−	0.128225i
$259$		0			0
$260$	−0.225308	−	4.91383i	−0.0139730	−	0.304743i
$261$	−2.17638	+	3.76960i	−0.134714	+	0.233332i
$262$	4.40599	+	1.07303i	0.272203	+	0.0662923i
$263$	13.0194	−	7.51675i	0.802810	−	0.463503i	−0.0416428	−	0.999133i	$-0.513259\pi$
$263$	13.0194	−	7.51675i	0.802810	−	0.463503i	0.844453	+	0.535630i	$0.179926\pi$
$264$	−1.75082	−	5.10270i	−0.107755	−	0.314050i
$265$			13.0276i			0.800282i
$266$		0			0
$267$		−	1.98512i		−	0.121487i
$268$	−4.75824	+	9.18949i	−0.290656	+	0.561337i
$269$	27.2203	−	15.7157i	1.65965	−	0.958201i	0.686778	−	0.726867i	$-0.259025\pi$
$269$	27.2203	−	15.7157i	1.65965	−	0.958201i	0.972875	−	0.231333i	$-0.0743088\pi$
$270$	1.77328	−	7.28125i	0.107918	−	0.443123i
$271$	1.65885	−	2.87322i	0.100768	−	0.174536i	−0.811233	−	0.584723i	$-0.801203\pi$
$271$	1.65885	−	2.87322i	0.100768	−	0.174536i	0.912001	+	0.410187i	$0.134537\pi$
$272$	−2.27640	−	24.7713i	−0.138027	−	1.50198i
$273$		0			0
$274$	−1.27337	+	1.33309i	−0.0769270	+	0.0805351i
$275$	1.48417	+	0.856885i	0.0894987	+	0.0516721i
$276$	−7.88030	−	12.3101i	−0.474338	−	0.740982i
$277$	−7.37294	−	12.7703i	−0.442997	−	0.767293i	0.554913	−	0.831908i	$-0.312751\pi$
$277$	−7.37294	−	12.7703i	−0.442997	−	0.767293i	−0.997910	+	0.0646150i	$0.979418\pi$
$278$	8.29450	+	28.3418i	0.497471	+	1.69983i
$279$	−0.288558			−0.0172755
$280$		0			0
$281$	20.5438			1.22554			0.612769	−	0.790262i	$-0.290056\pi$
$281$	20.5438			1.22554			0.612769	+	0.790262i	$0.290056\pi$
$282$	5.17437	+	17.6805i	0.308129	+	1.05286i
$283$	−13.9181	−	24.1069i	−0.827346	−	1.43301i	−0.900113	−	0.435657i	$-0.856516\pi$
$283$	−13.9181	−	24.1069i	−0.827346	−	1.43301i	0.0727665	−	0.997349i	$-0.476817\pi$
$284$	−5.43672	−	8.49290i	−0.322610	−	0.503961i
$285$	0.208682	+	0.120483i	0.0123612	+	0.00713677i
$286$	−4.11735	+	4.31046i	−0.243464	+	0.254883i
$287$		0			0
$288$	−6.19401	+	7.80459i	−0.364986	+	0.459890i
$289$	10.8375	−	18.7710i	0.637498	−	1.10418i
$290$	0.826965	−	3.39560i	0.0485611	−	0.199397i
$291$	−10.1497	+	5.85991i	−0.594983	+	0.343514i
$292$	7.00304	−	13.5248i	0.409822	−	0.791480i
$293$		−	4.28428i		−	0.250290i	−0.992138	−	0.125145i	$-0.960060\pi$
$293$		−	4.28428i		−	0.250290i	0.992138	−	0.125145i	$-0.0399396\pi$
$294$		0			0
$295$		−	4.28758i		−	0.249633i
$296$	−20.5914	+	7.06525i	−1.19685	+	0.410659i
$297$	−7.86477	+	4.54072i	−0.456360	+	0.263480i
$298$	13.3763	+	3.25767i	0.774869	+	0.188712i
$299$	−8.07522	+	13.9867i	−0.467002	+	0.808871i
$300$	0.101953	+	2.22354i	0.00588627	+	0.128376i
$301$		0			0
$302$	−15.2754	−	14.5911i	−0.879001	−	0.839621i
$303$	−0.433504	−	0.250283i	−0.0249041	−	0.0143784i
$304$	−0.499844	−	0.707248i	−0.0286680	−	0.0405635i
$305$	3.50019	+	6.06251i	0.200420	+	0.347138i
$306$	−14.8674	+	4.35109i	−0.849913	+	0.248736i
$307$	14.3171			0.817117			0.408559	−	0.912732i	$-0.366032\pi$
$307$	14.3171			0.817117			0.408559	+	0.912732i	$0.366032\pi$
$308$		0			0
$309$	−10.3302			−0.587667
$310$	0.222358	−	0.0650754i	0.0126291	−	0.00369603i
$311$	−12.8315	−	22.2249i	−0.727609	−	1.26026i	−0.957891	−	0.287132i	$-0.907298\pi$
$311$	−12.8315	−	22.2249i	−0.727609	−	1.26026i	0.230281	−	0.973124i	$-0.426035\pi$
$312$	−7.59831	−	1.48551i	−0.430170	−	0.0841004i
$313$	28.1505	+	16.2527i	1.59116	+	0.918656i	0.993109	+	0.117196i	$0.0373907\pi$
$313$	28.1505	+	16.2527i	1.59116	+	0.918656i	0.598049	+	0.801459i	$0.295943\pi$
$314$	8.41088	+	8.03406i	0.474653	+	0.453388i
$315$		0			0
$316$	31.8650	−	1.46107i	1.79255	−	0.0821915i
$317$	−1.46033	+	2.52937i	−0.0820205	+	0.142064i	−0.904118	−	0.427284i	$-0.859471\pi$
$317$	−1.46033	+	2.52937i	−0.0820205	+	0.142064i	0.822097	+	0.569347i	$0.192804\pi$
$318$	19.9223	+	4.85188i	1.11719	+	0.272080i
$319$	−3.66772	+	2.11756i	−0.205353	+	0.118561i
$320$	3.01292	−	7.41096i	0.168427	−	0.414285i
$321$		−	20.6161i		−	1.15068i
$322$		0			0
$323$		−	1.34647i		−	0.0749198i
$324$	−1.08955	−	0.564158i	−0.0605304	−	0.0313421i
$325$	2.12999	−	1.22975i	0.118150	−	0.0682142i
$326$	−4.01115	+	16.4702i	−0.222157	+	0.912200i
$327$	3.87922	−	6.71901i	0.214522	−	0.371562i
$328$	−15.4975	+	17.7889i	−0.855708	+	0.982228i
$329$		0			0
$330$	1.86313	−	1.95051i	0.102562	−	0.107372i
$331$	−3.41964	−	1.97433i	−0.187960	−	0.108519i	0.403067	−	0.915170i	$-0.367944\pi$
$331$	−3.41964	−	1.97433i	−0.187960	−	0.108519i	−0.591027	+	0.806652i	$0.701277\pi$
$332$	9.22775	−	5.90713i	0.506439	−	0.324196i
$333$	6.77845	+	11.7406i	0.371457	+	0.643382i
$334$	−5.88299	−	20.1018i	−0.321903	−	1.09992i
$335$	−5.17415			−0.282694
$336$		0			0
$337$	−10.0467			−0.547280			−0.273640	−	0.961832i	$-0.588228\pi$
$337$	−10.0467			−0.547280			−0.273640	+	0.961832i	$0.588228\pi$
$338$	−2.76104	−	9.43430i	−0.150181	−	0.513158i
$339$	−0.185664	−	0.321579i	−0.0100839	−	0.0174658i
$340$	10.4753	−	6.70576i	0.568104	−	0.363671i
$341$	−0.243146	−	0.140380i	−0.0131671	−	0.00760201i
$342$	−0.372522	+	0.389995i	−0.0201437	+	0.0210885i
$343$		0			0
$344$	−3.51983	+	4.04025i	−0.189776	+	0.217836i
$345$	3.65409	−	6.32907i	0.196730	−	0.340746i
$346$	−5.22732	+	21.4639i	−0.281022	+	1.15391i
$347$	0.0174157	−	0.0100550i	0.000934926	−	0.000539780i	−0.499532	−	0.866295i	$-0.666495\pi$
$347$	0.0174157	−	0.0100550i	0.000934926	−	0.000539780i	0.500467	+	0.865755i	$0.333162\pi$
$348$	−4.88469	−	2.52925i	−0.261847	−	0.135582i
$349$			5.60366i			0.299957i	0.988689	+	0.149978i	$0.0479204\pi$
$349$			5.60366i			0.299957i	−0.988689	+	0.149978i	$0.952080\pi$
$350$		0			0
$351$			13.0331i			0.695657i
$352$	−9.01605	+	3.56301i	−0.480557	+	0.189909i
$353$	−22.0701	+	12.7422i	−1.17467	+	0.678198i	−0.954776	−	0.297325i	$-0.903905\pi$
$353$	−22.0701	+	12.7422i	−1.17467	+	0.678198i	−0.219897	+	0.975523i	$0.570572\pi$
$354$	−6.55672	−	1.59682i	−0.348485	−	0.0848702i
$355$	2.52100	−	4.36651i	0.133801	−	0.231750i
$356$	−3.56361	+	0.163398i	−0.188871	+	0.00866007i
$357$		0			0
$358$	6.53371	+	6.24099i	0.345317	+	0.329847i
$359$	16.7562	+	9.67422i	0.884361	+	0.510586i	0.872094	−	0.489339i	$-0.162762\pi$
$359$	16.7562	+	9.67422i	0.884361	+	0.510586i	0.0122672	+	0.999925i	$0.496095\pi$
$360$	−4.88934	−	0.955891i	−0.257691	−	0.0503799i
$361$	9.47656	+	16.4139i	0.498766	+	0.863889i
$362$	1.61204	−	0.471779i	0.0847269	−	0.0247962i
$363$	8.97361			0.470993
$364$		0			0
$365$	7.61517			0.398596
$366$	10.5746	−	3.09476i	0.552742	−	0.161765i
$367$	8.64757	+	14.9780i	0.451399	+	0.781846i	0.998473	−	0.0552378i	$-0.0175917\pi$
$367$	8.64757	+	14.9780i	0.451399	+	0.781846i	−0.547074	+	0.837084i	$0.684258\pi$
$368$	−21.4500	+	15.1596i	−1.11816	+	0.790251i
$369$	12.7237	+	7.34606i	0.662372	+	0.382420i
$370$	−7.87109	−	7.51846i	−0.409199	−	0.390866i
$371$		0			0
$372$	−0.0167026	−	0.364274i	−0.000865990	−	0.0188867i
$373$	−5.55483	+	9.62126i	−0.287618	+	0.498170i	−0.973241	−	0.229788i	$-0.926197\pi$
$373$	−5.55483	+	9.62126i	−0.287618	+	0.498170i	0.685622	+	0.727957i	$0.259530\pi$
$374$	−14.6444	−	3.56649i	−0.757242	−	0.184419i
$375$	−0.963833	+	0.556469i	−0.0497721	+	0.0287359i
$376$	31.3134	−	10.7441i	1.61486	−	0.554086i
$377$			6.07799i			0.313032i
$378$		0			0
$379$			14.3198i			0.735558i	0.929913	+	0.367779i	$0.119882\pi$
$379$			14.3198i			0.735558i	−0.929913	+	0.367779i	$0.880118\pi$
$380$	0.199108	−	0.384534i	0.0102141	−	0.0197262i
$381$	−15.3063	+	8.83707i	−0.784164	+	0.452737i
$382$	3.53409	−	14.5113i	0.180820	−	0.742465i
$383$	−5.22693	+	9.05330i	−0.267084	+	0.462602i	−0.968107	−	0.250536i	$-0.919393\pi$
$383$	−5.22693	+	9.05330i	−0.267084	+	0.462602i	0.701024	+	0.713138i	$0.252727\pi$
$384$	−10.2110	−	7.36753i	−0.521077	−	0.375972i
$385$		0			0
$386$	−5.28276	+	5.53054i	−0.268886	+	0.281497i
$387$	2.88984	+	1.66845i	0.146899	+	0.0848121i
$388$	11.3549	+	17.7379i	0.576457	+	0.900506i
$389$	15.0629	+	26.0897i	0.763718	+	1.32280i	0.940922	+	0.338624i	$0.109962\pi$
$389$	15.0629	+	26.0897i	0.763718	+	1.32280i	−0.177204	+	0.984174i	$0.556705\pi$
$390$	−1.08730	−	3.71524i	−0.0550577	−	0.188129i
$391$	−40.8369			−2.06521
$392$		0			0
$393$	3.56871			0.180018
$394$	−7.13031	−	24.3638i	−0.359220	−	1.22743i
$395$	7.97463	+	13.8125i	0.401247	+	0.694981i
$396$	3.25489	+	5.08459i	0.163564	+	0.255510i
$397$	−11.6376	−	6.71896i	−0.584073	−	0.337215i	0.178677	−	0.983908i	$-0.442818\pi$
$397$	−11.6376	−	6.71896i	−0.584073	−	0.337215i	−0.762750	+	0.646693i	$0.776151\pi$
$398$	−7.47349	+	7.82401i	−0.374612	+	0.392182i
$399$		0			0
$400$	3.98322	−	0.366045i	0.199161	−	0.0183022i
$401$	14.4423	−	25.0149i	0.721216	−	1.24918i	−0.239297	−	0.970946i	$-0.576917\pi$
$401$	14.4423	−	25.0149i	0.721216	−	1.24918i	0.960513	−	0.278236i	$-0.0897497\pi$
$402$	−1.92701	+	7.91250i	−0.0961105	+	0.394639i
$403$	−0.348948	+	0.201465i	−0.0173823	+	0.0100357i
$404$	−0.413616	+	0.798809i	−0.0205782	+	0.0397422i
$405$		−	0.613471i		−	0.0304836i
$406$		0			0
$407$			13.1905i			0.653830i
$408$	−6.35336	−	18.5167i	−0.314538	−	0.916711i
$409$	22.4328	−	12.9516i	1.10923	−	0.640413i	0.170599	−	0.985341i	$-0.445430\pi$
$409$	22.4328	−	12.9516i	1.10923	−	0.640413i	0.938629	+	0.344927i	$0.112096\pi$
$410$	−11.4614	−	2.79131i	−0.566037	−	0.137853i
$411$	−0.725398	+	1.25643i	−0.0357813	+	0.0619749i
$412$	0.850295	+	18.5444i	0.0418910	+	0.913619i
$413$		0			0
$414$	11.8281	+	11.2982i	0.581318	+	0.555274i
$415$	4.74432	+	2.73913i	0.232889	+	0.134459i
$416$	−2.04130	+	13.7624i	−0.100083	+	0.674760i
$417$	11.6198	+	20.1260i	0.569023	+	0.985577i
$418$	−0.503623	+	0.147390i	−0.0246330	+	0.00720909i
$419$	−28.1022			−1.37288			−0.686441	−	0.727185i	$-0.740828\pi$
$419$	−28.1022			−1.37288			−0.686441	+	0.727185i	$0.740828\pi$
$420$		0			0
$421$	15.6269			0.761608			0.380804	−	0.924656i	$-0.375647\pi$
$421$	15.6269			0.761608			0.380804	+	0.924656i	$0.375647\pi$
$422$	−21.1342	+	6.18513i	−1.02880	+	0.301087i
$423$	−10.3080	−	17.8539i	−0.501191	−	0.868088i
$424$	7.07007	−	36.1631i	0.343353	−	1.75624i
$425$	5.38574	+	3.10946i	0.261247	+	0.150831i
$426$	−5.73851	−	5.48142i	−0.278032	−	0.265576i
$427$		0			0
$428$	−37.0092	+	1.69694i	−1.78890	+	0.0820245i
$429$	−2.34552	+	4.06256i	−0.113243	+	0.196142i
$430$	−2.60313	−	0.633967i	−0.125534	−	0.0305726i
$431$	17.2771	−	9.97495i	0.832210	−	0.480477i	−0.0223988	−	0.999749i	$-0.507130\pi$
$431$	17.2771	−	9.97495i	0.832210	−	0.480477i	0.854609	+	0.519273i	$0.173797\pi$
$432$	−8.87391	+	19.2495i	−0.426946	+	0.926141i
$433$		−	11.8294i		−	0.568487i	−0.958752	−	0.284243i	$-0.908258\pi$
$433$		−	11.8294i		−	0.568487i	0.958752	−	0.284243i	$-0.0917424\pi$
$434$		0			0
$435$		−	2.75033i		−	0.131868i
$436$	−12.3810	−	6.41077i	−0.592942	−	0.307020i
$437$	−1.23127	+	0.710872i	−0.0588995	+	0.0340056i
$438$	2.83612	−	11.6454i	0.135515	−	0.556438i
$439$	−13.9474	+	24.1577i	−0.665675	+	1.15298i	0.313427	+	0.949612i	$0.398523\pi$
$439$	−13.9474	+	24.1577i	−0.665675	+	1.15298i	−0.979102	+	0.203371i	$0.934810\pi$
$440$	−3.65483	−	3.18406i	−0.174237	−	0.151794i
$441$		0			0
$442$	−14.9410	+	15.6418i	−0.710671	+	0.744003i
$443$	16.6269	+	9.59955i	0.789968	+	0.456088i	0.839951	−	0.542662i	$-0.182583\pi$
$443$	16.6269	+	9.59955i	0.789968	+	0.456088i	−0.0499830	+	0.998750i	$0.515917\pi$
$444$	−14.4289	+	9.23665i	−0.684766	+	0.438352i
$445$	−0.891838	−	1.54471i	−0.0422772	−	0.0732262i
$446$	−4.55525	−	15.5650i	−0.215697	−	0.737024i
$447$	10.8344			0.512449
$448$		0			0
$449$	−4.94035			−0.233150			−0.116575	−	0.993182i	$-0.537191\pi$
$449$	−4.94035			−0.233150			−0.116575	+	0.993182i	$0.537191\pi$
$450$	−0.699655	−	2.39067i	−0.0329820	−	0.112697i
$451$	7.14753	+	12.3799i	0.336564	+	0.582946i
$452$	−0.562003	+	0.359765i	−0.0264344	+	0.0169219i
$453$	−14.3969	−	8.31206i	−0.676426	−	0.390535i
$454$	8.74688	−	9.15713i	0.410511	−	0.429765i
$455$		0			0
$456$	−0.513889	−	0.447696i	−0.0240651	−	0.0209653i
$457$	13.0622	−	22.6243i	0.611022	−	1.05832i	−0.380046	−	0.924967i	$-0.624092\pi$
$457$	13.0622	−	22.6243i	0.611022	−	1.05832i	0.991068	−	0.133354i	$-0.0425747\pi$
$458$	0.805387	−	3.30700i	0.0376332	−	0.154526i
$459$	−28.5396	+	16.4774i	−1.33212	+	0.769097i
$460$	−11.6625	−	6.03872i	−0.543765	−	0.281557i
$461$		−	13.3894i		−	0.623609i	−0.950146	−	0.311804i	$-0.899067\pi$
$461$		−	13.3894i		−	0.623609i	0.950146	−	0.311804i	$-0.100933\pi$
$462$		0			0
$463$			16.4019i			0.762259i	0.924522	+	0.381130i	$0.124465\pi$
$463$			16.4019i			0.762259i	−0.924522	+	0.381130i	$0.875535\pi$
$464$	−4.13834	+	8.97697i	−0.192117	+	0.416746i
$465$	0.157901	−	0.0911642i	0.00732248	−	0.00422764i
$466$	−3.51861	−	0.856922i	−0.162996	−	0.0396962i
$467$	−5.96663	+	10.3345i	−0.276103	+	0.478224i	−0.970413	−	0.241452i	$-0.922376\pi$
$467$	−5.96663	+	10.3345i	−0.276103	+	0.478224i	0.694310	+	0.719676i	$0.255710\pi$
$468$	8.65507	−	0.396850i	0.400081	−	0.0183444i
$469$		0			0
$470$	11.9696	+	11.4333i	0.552115	+	0.527379i
$471$	7.92716	+	4.57675i	0.365264	+	0.210885i
$472$	−2.32686	+	11.9018i	−0.107102	+	0.547824i
$473$	1.62336	+	2.81175i	0.0746423	+	0.129284i
$474$	24.0925	−	7.05090i	1.10660	−	0.323859i
$475$	0.216513			0.00993428
$476$		0			0
$477$	−22.9465			−1.05065
$478$	−8.56716	+	2.50726i	−0.391853	+	0.114680i
$479$	18.5889	+	32.1969i	0.849347	+	1.47111i	0.881792	+	0.471639i	$0.156337\pi$
$479$	18.5889	+	32.1969i	0.849347	+	1.47111i	−0.0324444	+	0.999474i	$0.510329\pi$
$480$	0.923701	−	6.22760i	0.0421610	−	0.284250i
$481$	16.3941	+	9.46512i	0.747505	+	0.431572i
$482$	9.84415	+	9.40312i	0.448389	+	0.428300i
$483$		0			0
$484$	−0.738629	−	16.1091i	−0.0335741	−	0.732230i
$485$	−5.26526	+	9.11969i	−0.239083	+	0.414104i
$486$	20.9056	+	5.09135i	0.948298	+	0.230948i
$487$	0.847298	−	0.489188i	0.0383948	−	0.0221672i	−0.480680	−	0.876896i	$-0.659610\pi$
$487$	0.847298	−	0.489188i	0.0383948	−	0.0221672i	0.519075	+	0.854729i	$0.326277\pi$
$488$	−6.42599	−	18.7283i	−0.290891	−	0.847791i
$489$			13.3403i			0.603271i
$490$		0			0
$491$			18.4167i			0.831132i	0.909563	+	0.415566i	$0.136417\pi$
$491$			18.4167i			0.831132i	−0.909563	+	0.415566i	$0.863583\pi$
$492$	−8.53712	+	16.4876i	−0.384883	+	0.743317i
$493$	−13.3094	+	7.68420i	−0.599426	+	0.346079i
$494$	−0.178198	+	0.731699i	−0.00801751	+	0.0329207i
$495$	−1.50929	+	2.61417i	−0.0678376	+	0.117498i
$496$	−0.652555	+	0.0599677i	−0.0293006	+	0.00269263i
$497$		0			0
$498$	5.95570	−	6.23504i	0.266881	−	0.279399i
$499$	−16.9167	−	9.76688i	−0.757297	−	0.437226i	0.0710273	−	0.997474i	$-0.477372\pi$
$499$	−16.9167	−	9.76688i	−0.757297	−	0.437226i	−0.828324	+	0.560249i	$0.810706\pi$
$500$	1.07828	+	1.68443i	0.0482224	+	0.0753300i
$501$	−8.24149	−	14.2747i	−0.368203	−	0.637746i
$502$	−9.91101	−	33.8653i	−0.442350	−	1.51148i
$503$	−11.7007			−0.521707			−0.260853	−	0.965378i	$-0.584004\pi$
$503$	−11.7007			−0.521707			−0.260853	+	0.965378i	$0.584004\pi$
$504$		0			0
$505$	−0.449771			−0.0200145
$506$	4.47017	+	15.2743i	0.198723	+	0.679025i
$507$	−3.86795	−	6.69948i	−0.171782	−	0.297534i
$508$	17.1238	+	26.7498i	0.759747	+	1.18683i
$509$	1.85583	+	1.07147i	0.0822584	+	0.0474919i	0.540565	−	0.841302i	$-0.318211\pi$
$509$	1.85583	+	1.07147i	0.0822584	+	0.0474919i	−0.458307	+	0.888794i	$0.651544\pi$
$510$	6.76090	−	7.07800i	0.299378	−	0.313419i
$511$		0			0
$512$	−12.3854	+	18.9368i	−0.547363	+	0.836896i
$513$	−0.573662	+	0.993611i	−0.0253278	+	0.0438690i
$514$	5.68088	−	23.3263i	0.250573	−	1.02888i
$515$	−8.03841	+	4.64098i	−0.354215	+	0.204506i
$516$	−1.93897	+	3.74469i	−0.0853583	+	0.164851i
$517$		−	20.0588i		−	0.882186i
$518$		0			0
$519$			17.3851i			0.763120i
$520$	−6.57996	+	2.25769i	−0.288550	+	0.0990062i
$521$	11.8399	−	6.83576i	0.518714	−	0.299480i	−0.217694	−	0.976017i	$-0.569854\pi$
$521$	11.8399	−	6.83576i	0.518714	−	0.299480i	0.736408	+	0.676537i	$0.236520\pi$
$522$	5.98091	+	1.45659i	0.261777	+	0.0637533i
$523$	18.7828	−	32.5328i	0.821316	−	1.42256i	−0.0833873	−	0.996517i	$-0.526574\pi$
$523$	18.7828	−	32.5328i	0.821316	−	1.42256i	0.904703	−	0.426043i	$-0.140093\pi$
$524$	−0.293745	−	6.40640i	−0.0128323	−	0.279865i
$525$		0			0
$526$	−15.3739	−	14.6852i	−0.670336	−	0.640304i
$527$	−0.882325	−	0.509411i	−0.0384347	−	0.0221903i
$528$	−6.23034	+	4.40326i	−0.271141	+	0.191627i
$529$	10.0599	+	17.4242i	0.437386	+	0.757575i
$530$	17.6822	−	5.17487i	0.768065	−	0.224782i
$531$	7.55201			0.327729
$532$		0			0
$533$	20.5154			0.888621
$534$	−2.69437	+	0.788534i	−0.116597	+	0.0341232i
$535$	−9.26201	−	16.0423i	−0.400432	−	0.693568i
$536$	14.3628	+	2.80800i	0.620379	+	0.121287i
$537$	6.15795	+	3.55530i	0.265735	+	0.153422i
$538$	−32.1431	−	30.7030i	−1.38579	−	1.32370i
$539$		0			0
$540$	−10.5871	+	0.485437i	−0.455596	+	0.0208899i
$541$	−13.3052	+	23.0452i	−0.572034	+	0.990793i	0.424323	+	0.905511i	$0.360512\pi$
$541$	−13.3052	+	23.0452i	−0.572034	+	0.990793i	−0.996357	+	0.0852815i	$0.972821\pi$
$542$	−4.55870	−	1.11023i	−0.195813	−	0.0476883i
$543$	1.14474	−	0.660916i	0.0491255	−	0.0283626i
$544$	−32.7174	+	12.9294i	−1.40275	+	0.554344i
$545$		−	6.97114i		−	0.298611i
$546$		0			0
$547$			24.0582i			1.02865i	0.857594	+	0.514327i	$0.171958\pi$
$547$			24.0582i			1.02865i	−0.857594	+	0.514327i	$0.828042\pi$
$548$	2.31519	+	1.19879i	0.0989002	+	0.0512097i
$549$	−10.6783	+	6.16513i	−0.455740	+	0.263121i
$550$	0.573490	−	2.35481i	0.0244537	−	0.100409i
$551$	−0.267527	+	0.463370i	−0.0113970	+	0.0197402i
$552$	−13.5781	+	15.5856i	−0.577921	+	0.663369i
$553$		0			0
$554$	−14.4042	+	15.0798i	−0.611976	+	0.640679i
$555$	−7.41842	−	4.28303i	−0.314894	−	0.181804i
$556$	35.1730	−	22.5160i	1.49167	−	0.954889i
$557$	−13.3710	−	23.1592i	−0.566546	−	0.981286i	−0.996904	−	0.0786280i	$-0.974946\pi$
$557$	−13.3710	−	23.1592i	−0.566546	−	0.981286i	0.430358	−	0.902658i	$-0.358387\pi$
$558$	0.114622	+	0.391655i	0.00485233	+	0.0165801i
$559$	4.65950			0.197076
$560$		0			0
$561$	−11.8615			−0.500791
$562$	−8.16043	−	27.8837i	−0.344227	−	1.17620i
$563$	8.73567	+	15.1306i	0.368165	+	0.637680i	0.989279	−	0.146041i	$-0.0466530\pi$
$563$	8.73567	+	15.1306i	0.368165	+	0.637680i	−0.621114	+	0.783720i	$0.713320\pi$
$564$	21.9420	−	14.0462i	0.923926	−	0.591450i
$565$	−0.288946	−	0.166823i	−0.0121560	−	0.00701830i
$566$	−27.1913	+	28.4666i	−1.14293	+	1.19654i
$567$		0			0
$568$	−9.36768	+	10.7527i	−0.393059	+	0.451175i
$569$	10.1792	−	17.6309i	0.426734	−	0.739125i	−0.569846	−	0.821751i	$-0.692997\pi$
$569$	10.1792	−	17.6309i	0.426734	−	0.739125i	0.996581	+	0.0826258i	$0.0263306\pi$
$570$	0.0806358	−	0.331098i	0.00337746	−	0.0138682i
$571$	−19.2734	+	11.1275i	−0.806565	+	0.465671i	−0.845762	−	0.533561i	$-0.820854\pi$
$571$	−19.2734	+	11.1275i	−0.806565	+	0.465671i	0.0391963	+	0.999232i	$0.487520\pi$
$572$	7.48601	+	3.87619i	0.313006	+	0.162072i
$573$		−	11.7537i		−	0.491019i
$574$		0			0
$575$		−	6.56656i		−	0.273845i
$576$	13.0534	+	5.30687i	0.543893	+	0.221119i
$577$	0.841022	−	0.485564i	0.0350122	−	0.0202143i	−0.482392	−	0.875956i	$-0.660232\pi$
$577$	0.841022	−	0.485564i	0.0350122	−	0.0202143i	0.517404	+	0.855741i	$0.326898\pi$
$578$	−29.7825	−	7.25323i	−1.23879	−	0.301694i
$579$	−3.00942	+	5.21247i	−0.125067	+	0.216623i
$580$	−4.93728	+	0.226383i	−0.205009	+	0.00940004i
$581$		0			0
$582$	11.9852	+	11.4483i	0.496803	+	0.474546i
$583$	−19.3352	−	11.1632i	−0.800783	−	0.462332i
$584$	−21.1388	−	4.13274i	−0.874728	−	0.171014i
$585$	2.16604	+	3.75169i	0.0895548	+	0.155113i
$586$	−5.81497	+	1.70181i	−0.240214	+	0.0703011i
$587$	−17.6042			−0.726602			−0.363301	−	0.931672i	$-0.618350\pi$
$587$	−17.6042			−0.726602			−0.363301	+	0.931672i	$0.618350\pi$
$588$		0			0
$589$	−0.0354704			−0.00146153
$590$	−5.81946	+	1.70312i	−0.239583	+	0.0701164i
$591$	−9.98887	−	17.3012i	−0.410887	−	0.711677i
$592$	17.7689	+	25.1419i	0.730298	+	1.03333i
$593$	−19.3792	−	11.1886i	−0.795810	−	0.459461i	0.0461938	−	0.998932i	$-0.485291\pi$
$593$	−19.3792	−	11.1886i	−0.795810	−	0.459461i	−0.842004	+	0.539471i	$0.818624\pi$
$594$	9.28710	+	8.87103i	0.381054	+	0.363983i
$595$		0			0
$596$	−0.891792	−	19.4494i	−0.0365292	−	0.796680i
$597$	−4.25741	+	7.37405i	−0.174244	+	0.301800i
$598$	22.1915	+	5.40453i	0.907480	+	0.221008i
$599$	−15.9061	+	9.18338i	−0.649905	+	0.375223i	−0.788420	−	0.615137i	$-0.789100\pi$
$599$	−15.9061	+	9.18338i	−0.649905	+	0.375223i	0.138515	+	0.990360i	$0.455767\pi$
$600$	2.97747	−	1.02162i	0.121555	−	0.0417074i
$601$		−	11.9668i		−	0.488136i	−0.969758	−	0.244068i	$-0.921518\pi$
$601$		−	11.9668i		−	0.488136i	0.969758	−	0.244068i	$-0.0784820\pi$
$602$		0			0
$603$		−	9.11360i		−	0.371134i
$604$	−13.7365	+	26.5289i	−0.558928	+	1.07945i
$605$	6.98276	−	4.03150i	0.283889	−	0.163904i
$606$	−0.167508	+	0.687805i	−0.00680455	+	0.0279402i
$607$	−8.18629	+	14.1791i	−0.332271	+	0.575511i	−0.982957	−	0.183837i	$-0.941148\pi$
$607$	−8.18629	+	14.1791i	−0.332271	+	0.575511i	0.650686	+	0.759347i	$0.274482\pi$
$608$	−0.761386	+	0.959363i	−0.0308783	+	0.0389073i
$609$		0			0
$610$	6.83819	−	7.15891i	0.276870	−	0.289856i
$611$	−24.9304	−	14.3936i	−1.00858	−	0.582303i
$612$	11.8113	+	18.4509i	0.477445	+	0.745834i
$613$	−22.8718	−	39.6151i	−0.923783	−	1.60004i	−0.793507	−	0.608561i	$-0.791747\pi$
$613$	−22.8718	−	39.6151i	−0.923783	−	1.60004i	−0.130276	−	0.991478i	$-0.541586\pi$
$614$	−5.68705	−	19.4323i	−0.229511	−	0.784223i
$615$	−9.28335			−0.374341
$616$		0			0
$617$	3.88479			0.156396			0.0781979	−	0.996938i	$-0.475083\pi$
$617$	3.88479			0.156396			0.0781979	+	0.996938i	$0.475083\pi$
$618$	4.10340	+	14.0211i	0.165063	+	0.564010i
$619$	10.2165	+	17.6955i	0.410636	+	0.711242i	0.994959	−	0.100278i	$-0.0319734\pi$
$619$	10.2165	+	17.6955i	0.410636	+	0.711242i	−0.584323	+	0.811521i	$0.698640\pi$
$620$	−0.176651	−	0.275954i	−0.00709449	−	0.0110826i
$621$	30.1350	+	17.3985i	1.20928	+	0.698176i
$622$	−25.0684	+	26.2442i	−1.00515	+	1.05230i
$623$		0			0
$624$	1.00196	+	10.9031i	0.0401106	+	0.436474i
$625$	−0.500000	+	0.866025i	−0.0200000	+	0.0346410i
$626$	10.8775	−	44.6640i	0.434752	−	1.78513i
$627$	−0.357633	+	0.206479i	−0.0142825	+	0.00824599i
$628$	7.56350	−	14.6072i	0.301816	−	0.582892i
$629$			47.8657i			1.90853i
$630$		0			0
$631$		−	23.7070i		−	0.943762i	−0.881662	−	0.471881i	$-0.843575\pi$
$631$		−	23.7070i		−	0.943762i	0.881662	−	0.471881i	$-0.156425\pi$
$632$	−14.6406	−	42.6695i	−0.582371	−	1.69730i
$633$	−15.0078	+	8.66476i	−0.596507	+	0.344393i
$634$	4.01315	+	0.977362i	0.159382	+	0.0388160i
$635$	−7.94031	+	13.7530i	−0.315102	+	0.545772i
$636$	−1.32821	−	28.9675i	−0.0526670	−	1.14864i
$637$		0			0
$638$	4.33103	+	4.13700i	0.171467	+	0.163785i
$639$	7.69103	+	4.44042i	0.304252	+	0.175660i
$640$	−11.2556	−	1.14559i	−0.444915	−	0.0452834i
$641$	−7.19683	−	12.4653i	−0.284258	−	0.492349i	0.688171	−	0.725548i	$-0.258414\pi$
$641$	−7.19683	−	12.4653i	−0.284258	−	0.492349i	−0.972429	+	0.233200i	$0.925080\pi$
$642$	−27.9818	+	8.18916i	−1.10436	+	0.323200i
$643$	47.6127			1.87766			0.938830	−	0.344380i	$-0.111911\pi$
$643$	47.6127			1.87766			0.938830	+	0.344380i	$0.111911\pi$
$644$		0			0
$645$	−2.10845			−0.0830202
$646$	−1.82754	+	0.534849i	−0.0719038	+	0.0210434i
$647$	0.00541429	+	0.00937783i	0.000212858	+	0.000368680i	0.866132	−	0.499816i	$-0.166599\pi$
$647$	0.00541429	+	0.00937783i	0.000212858	+	0.000368680i	−0.865919	+	0.500184i	$0.833266\pi$
$648$	−0.332929	+	1.70292i	−0.0130787	+	0.0668970i
$649$	6.36349	+	3.67396i	0.249789	+	0.144216i
$650$	−2.51519	−	2.40251i	−0.0986540	−	0.0942342i
$651$		0			0
$652$	23.9480	−	1.09806i	0.937877	−	0.0430033i
$653$	5.31113	−	9.19915i	0.207841	−	0.359990i	−0.743193	−	0.669077i	$-0.766690\pi$
$653$	5.31113	−	9.19915i	0.207841	−	0.359990i	0.951034	+	0.309086i	$0.100023\pi$
$654$	−10.6605	−	2.59626i	−0.416859	−	0.101522i
$655$	2.77697	−	1.60328i	0.108505	−	0.0626455i
$656$	30.3005	+	13.9684i	1.18304	+	0.545374i
$657$			13.4131i			0.523296i
$658$		0			0
$659$			13.3688i			0.520773i	0.965505	+	0.260386i	$0.0838499\pi$
$659$			13.3688i			0.520773i	−0.965505	+	0.260386i	$0.916150\pi$
$660$	−3.38747	−	1.75400i	−0.131857	−	0.0682744i
$661$	6.49983	−	3.75268i	0.252814	−	0.145962i	−0.368238	−	0.929732i	$-0.620039\pi$
$661$	6.49983	−	3.75268i	0.252814	−	0.145962i	0.621052	+	0.783769i	$0.286706\pi$
$662$	−1.32137	+	5.42566i	−0.0513563	+	0.210874i
$663$	−8.51142	+	14.7422i	−0.330556	+	0.572540i
$664$	−11.6831	−	10.1782i	−0.453393	−	0.394992i
$665$		0			0
$666$	13.2428	−	13.8639i	0.513147	−	0.537215i
$667$	14.0534	+	8.11376i	0.544151	+	0.314166i
$668$	−24.9470	+	15.9698i	−0.965227	+	0.617889i
$669$	−6.38146	−	11.0530i	−0.246721	−	0.427334i
$670$	2.05529	+	7.02279i	0.0794027	+	0.271314i
$671$	−11.9970			−0.463141
$672$		0			0
$673$	19.9107			0.767501			0.383751	−	0.923437i	$-0.374632\pi$
$673$	19.9107			0.767501			0.383751	+	0.923437i	$0.374632\pi$
$674$	3.99078	+	13.6362i	0.153719	+	0.525249i
$675$	−2.64955	−	4.58916i	−0.101981	−	0.176637i
$676$	−11.7083	+	7.49503i	−0.450318	+	0.288270i
$677$	−22.5213	−	13.0027i	−0.865563	−	0.499733i	0.000308393	−	1.00000i	$-0.499902\pi$
$677$	−22.5213	−	13.0027i	−0.865563	−	0.499733i	−0.865871	+	0.500267i	$0.833235\pi$
$678$	−0.362724	+	0.379736i	−0.0139303	+	0.0145837i
$679$		0			0
$680$	−13.2626	−	11.5543i	−0.508599	−	0.443087i
$681$	4.98282	−	8.63049i	0.190942	−	0.330721i
$682$	−0.0939527	+	0.385779i	−0.00359763	+	0.0147722i
$683$	12.8345	−	7.41000i	0.491098	−	0.283536i	−0.233932	−	0.972253i	$-0.575159\pi$
$683$	12.8345	−	7.41000i	0.491098	−	0.283536i	0.725030	+	0.688717i	$0.241826\pi$
$684$	0.677307	+	0.350704i	0.0258975	+	0.0134095i
$685$			1.30357i			0.0498070i
$686$		0			0
$687$		−	2.67856i		−	0.102194i
$688$	6.88191	+	3.17253i	0.262370	+	0.120951i
$689$	−27.7487	+	16.0207i	−1.05714	+	0.610341i
$690$	−10.0418	−	2.44558i	−0.382285	−	0.0931018i
$691$	13.2455	−	22.9418i	0.503882	−	0.872749i	−0.496108	−	0.868261i	$-0.665238\pi$
$691$	13.2455	−	22.9418i	0.503882	−	0.872749i	0.999990	−	0.00448815i	$-0.00142863\pi$
$692$	31.2090	−	1.43099i	1.18639	−	0.0543980i
$693$		0			0
$694$	−0.0205654	−	0.0196440i	−0.000780651	−	0.000745677i
$695$	18.0837	+	10.4406i	0.685954	+	0.396036i
$696$	−1.49260	+	7.63457i	−0.0565768	+	0.289388i
$697$	25.9369	+	44.9241i	0.982432	+	1.70162i
$698$	7.60574	−	2.22590i	0.287882	−	0.0842514i
$699$	−2.84996			−0.107795
$700$		0			0
$701$	−0.713553			−0.0269505			−0.0134753	−	0.999909i	$-0.504289\pi$
$701$	−0.713553			−0.0269505			−0.0134753	+	0.999909i	$0.504289\pi$
$702$	17.6896	−	5.17705i	0.667653	−	0.195395i
$703$	0.833226	+	1.44319i	0.0314257	+	0.0544310i
$704$	8.41738	+	10.8220i	0.317242	+	0.407870i
$705$	11.2812	+	6.51320i	0.424874	+	0.245301i
$706$	26.0615	+	24.8939i	0.980836	+	0.936893i
$707$		0			0
$708$	0.437133	+	9.53361i	0.0164285	+	0.358295i
$709$	9.56584	−	16.5685i	0.359253	−	0.622244i	−0.628584	−	0.777742i	$-0.716365\pi$
$709$	9.56584	−	16.5685i	0.359253	−	0.622244i	0.987836	+	0.155498i	$0.0496983\pi$
$710$	−6.92798	−	1.68724i	−0.260002	−	0.0633210i
$711$	−24.3288	+	14.0463i	−0.912403	+	0.526776i
$712$	1.63732	+	4.77192i	0.0613612	+	0.178835i
$713$			1.07578i			0.0402881i
$714$		0			0
$715$			4.21501i			0.157632i
$716$	5.87545	−	11.3471i	0.219576	−	0.424063i
$717$	−6.08371	+	3.51243i	−0.227200	+	0.131174i
$718$	6.47470	−	26.5858i	0.241634	−	0.992172i
$719$	20.0286	−	34.6906i	0.746941	−	1.29374i	−0.202341	−	0.979315i	$-0.564855\pi$
$719$	20.0286	−	34.6906i	0.746941	−	1.29374i	0.949282	−	0.314425i	$-0.101812\pi$
$720$	0.644740	+	7.01591i	0.0240280	+	0.261468i
$721$		0			0
$722$	18.5140	−	19.3823i	0.689019	−	0.721335i
$723$	9.27801	+	5.35666i	0.345053	+	0.199216i
$724$	−1.28067	−	2.00059i	−0.0475959	−	0.0743514i
$725$	−1.23562	−	2.14015i	−0.0458896	−	0.0794832i
$726$	−3.56452	−	12.1797i	−0.132292	−	0.452032i
$727$	−14.4074			−0.534341			−0.267171	−	0.963649i	$-0.586089\pi$
$727$	−14.4074			−0.534341			−0.267171	+	0.963649i	$0.586089\pi$
$728$		0			0
$729$	18.7733			0.695307
$730$	−3.02491	−	10.3359i	−0.111957	−	0.382550i
$731$	5.89085	+	10.2032i	0.217881	+	0.377381i
$732$	−8.40091	−	13.1234i	−0.310507	−	0.485054i
$733$	−0.670759	−	0.387263i	−0.0247751	−	0.0143039i	0.487561	−	0.873089i	$-0.337887\pi$
$733$	−0.670759	−	0.387263i	−0.0247751	−	0.0143039i	−0.512336	+	0.858785i	$0.671220\pi$
$734$	16.8944	−	17.6868i	0.623584	−	0.652831i
$735$		0			0
$736$	29.0963	+	23.0919i	1.07250	+	0.851179i
$737$	4.43365	−	7.67931i	0.163316	−	0.282871i
$738$	4.91652	−	20.1877i	0.180980	−	0.743120i
$739$	−7.09915	+	4.09870i	−0.261147	+	0.150773i	−0.624858	−	0.780739i	$-0.714843\pi$
$739$	−7.09915	+	4.09870i	−0.261147	+	0.150773i	0.363711	+	0.931512i	$0.381510\pi$
$740$	−7.07810	+	13.6698i	−0.260196	+	0.502511i
$741$			0.592653i			0.0217716i
$742$		0			0
$743$		−	8.66498i		−	0.317887i	−0.987288	−	0.158944i	$-0.949191\pi$
$743$		−	8.66498i		−	0.317887i	0.987288	−	0.158944i	$-0.0508088\pi$
$744$	−0.487788	+	0.167368i	−0.0178832	+	0.00613600i
$745$	8.43071	−	4.86747i	0.308877	−	0.178330i
$746$	15.2653	+	3.71770i	0.558901	+	0.136115i
$747$	−4.82462	+	8.35649i	−0.176524	+	0.305748i
$748$	0.976331	+	21.2932i	0.0356982	+	0.778557i
$749$		0			0
$750$	1.13814	+	1.08715i	0.0415590	+	0.0396971i
$751$	6.73208	+	3.88677i	0.245657	+	0.141830i	0.617774	−	0.786356i	$-0.288035\pi$
$751$	6.73208	+	3.88677i	0.245657	+	0.141830i	−0.372117	+	0.928186i	$0.621368\pi$
$752$	−27.0212	−	38.2333i	−0.985361	−	1.39422i
$753$	−13.8843	−	24.0484i	−0.505974	−	0.876372i
$754$	8.24955	−	2.41431i	0.300431	−	0.0879240i
$755$	−14.9372			−0.543619
$756$		0			0
$757$	−5.10767			−0.185641			−0.0928206	−	0.995683i	$-0.529588\pi$
$757$	−5.10767			−0.185641			−0.0928206	+	0.995683i	$0.529588\pi$
$758$	19.4360	−	5.68813i	0.705946	−	0.206602i
$759$	6.26227	+	10.8466i	0.227306	+	0.393705i
$760$	−0.601012	−	0.117501i	−0.0218010	−	0.00426221i
$761$	4.16241	+	2.40317i	0.150887	+	0.0871149i	0.573543	−	0.819176i	$-0.305569\pi$
$761$	4.16241	+	2.40317i	0.150887	+	0.0871149i	−0.422655	+	0.906290i	$0.638902\pi$
$762$	18.0744	+	17.2646i	0.654766	+	0.625432i
$763$		0			0
$764$	−21.0998	+	0.967463i	−0.763364	+	0.0350016i
$765$	−5.47690	+	9.48628i	−0.198018	+	0.342977i
$766$	14.3641	+	3.49824i	0.518997	+	0.126397i
$767$	9.13249	−	5.27264i	0.329755	−	0.190384i
$768$	−5.94378	+	16.7857i	−0.214478	+	0.605703i
$769$		−	24.7841i		−	0.893738i	−0.894600	−	0.446869i	$-0.852539\pi$
$769$		−	24.7841i		−	0.893738i	0.894600	−	0.446869i	$-0.147461\pi$
$770$		0			0
$771$		−	18.8935i		−	0.680434i
$772$	9.60493	+	4.97335i	0.345689	+	0.178995i
$773$	21.9209	−	12.6560i	0.788438	−	0.455205i	−0.0509742	−	0.998700i	$-0.516233\pi$
$773$	21.9209	−	12.6560i	0.788438	−	0.455205i	0.839412	+	0.543495i	$0.182899\pi$
$774$	1.11665	−	4.58507i	0.0401371	−	0.164807i
$775$	0.0819131	−	0.141878i	0.00294241	−	0.00509640i
$776$	19.5649	−	22.4577i	0.702340	−	0.806184i
$777$		0			0
$778$	29.4277	−	30.8080i	1.05504	−	1.10452i
$779$	1.56404	+	0.902999i	0.0560375	+	0.0323533i
$780$	−4.61073	+	2.95155i	−0.165091	+	0.105683i
$781$	4.32042	+	7.48318i	0.154597	+	0.267769i
$782$	16.2213	+	55.4272i	0.580073	+	1.98207i
$783$	13.0953			0.467989
$784$		0			0
$785$	8.22463			0.293549
$786$	−1.41757	−	4.84375i	−0.0505631	−	0.172771i
$787$	−24.9493	−	43.2134i	−0.889345	−	1.54039i	−0.840651	−	0.541577i	$-0.817827\pi$
$787$	−24.9493	−	43.2134i	−0.889345	−	1.54039i	−0.0486943	−	0.998814i	$-0.515506\pi$
$788$	−30.2363	+	19.3557i	−1.07712	+	0.689518i
$789$	−14.4898	−	8.36567i	−0.515850	−	0.297826i
$790$	15.5797	−	16.3104i	0.554301	−	0.580299i
$791$		0			0
$792$	5.60830	−	6.43751i	0.199282	−	0.228747i
$793$	−8.60871	+	14.9107i	−0.305704	+	0.529495i
$794$	−4.49682	+	18.4644i	−0.159586	+	0.655277i
$795$	12.5565	−	7.24948i	0.445332	−	0.257113i
$796$	13.5880	+	7.03576i	0.481615	+	0.249376i
$797$		−	38.2770i		−	1.35584i	−0.735135	−	0.677921i	$-0.762881\pi$
$797$		−	38.2770i		−	1.35584i	0.735135	−	0.677921i	$-0.237119\pi$
$798$		0			0
$799$		−	72.7894i		−	2.57510i
$800$	−2.07905	−	5.26095i	−0.0735054	−	0.186003i
$801$	2.72080	−	1.57086i	0.0961349	−	0.0555035i
$802$	−39.6890	−	9.66587i	−1.40147	−	0.341314i
$803$	−6.52532	+	11.3022i	−0.230274	+	0.398846i
$804$	11.5049	−	0.527522i	0.405748	−	0.0186043i
$805$		0			0
$806$	0.412054	+	0.393594i	0.0145140	+	0.0138638i
$807$	−30.2945	−	17.4906i	−1.06642	−	0.615697i
$808$	1.24851	+	0.244090i	0.0439223	+	0.00858704i
$809$	−4.90151	−	8.48966i	−0.172328	−	0.298480i	0.766906	−	0.641760i	$-0.221795\pi$
$809$	−4.90151	−	8.48966i	−0.172328	−	0.298480i	−0.939233	+	0.343280i	$0.888462\pi$
$810$	−0.832654	+	0.243684i	−0.0292565	+	0.00856219i
$811$	4.75188			0.166861			0.0834305	−	0.996514i	$-0.473412\pi$
$811$	4.75188			0.166861			0.0834305	+	0.996514i	$0.473412\pi$
$812$		0			0
$813$	−3.69240			−0.129498
$814$	17.9033	−	5.23957i	0.627509	−	0.183647i
$815$	5.99330	+	10.3807i	0.209936	+	0.363620i
$816$	−22.6086	+	15.9785i	−0.791460	+	0.559360i
$817$	0.355228	+	0.205091i	0.0124278	+	0.00717522i
$818$	−26.4897	−	25.3029i	−0.926191	−	0.884696i
$819$		0			0
$820$	0.764124	+	16.6651i	0.0266844	+	0.581970i
$821$	−7.82822	+	13.5589i	−0.273207	+	0.473208i	−0.969681	−	0.244374i	$-0.921418\pi$
$821$	−7.82822	+	13.5589i	−0.273207	+	0.473208i	0.696474	+	0.717582i	$0.254751\pi$
$822$	1.99347	+	0.485490i	0.0695302	+	0.0169334i
$823$	17.1447	−	9.89848i	0.597626	−	0.345039i	−0.170481	−	0.985361i	$-0.554532\pi$
$823$	17.1447	−	9.89848i	0.597626	−	0.345039i	0.768107	+	0.640322i	$0.221199\pi$
$824$	24.8323	−	8.52035i	0.865073	−	0.296820i
$825$		−	1.90732i		−	0.0664043i
$826$		0			0
$827$			13.0808i			0.454863i	0.973794	+	0.227431i	$0.0730327\pi$
$827$			13.0808i			0.454863i	−0.973794	+	0.227431i	$0.926967\pi$
$828$	10.6364	−	20.5419i	0.369641	−	0.713880i
$829$	21.7092	−	12.5338i	0.753990	−	0.435316i	−0.0731437	−	0.997321i	$-0.523303\pi$
$829$	21.7092	−	12.5338i	0.753990	−	0.435316i	0.827134	+	0.562005i	$0.189970\pi$
$830$	1.83323	−	7.52742i	0.0636323	−	0.261281i
$831$	−8.20562	+	14.2126i	−0.284650	+	0.493028i
$832$	19.4904	−	2.69613i	0.675707	−	0.0934715i
$833$		0			0
$834$	22.7011	−	23.7658i	0.786074	−	0.822943i
$835$	−12.8261	−	7.40517i	−0.443867	−	0.256266i
$836$	0.400100	+	0.625012i	0.0138378	+	0.0216165i
$837$	0.434066	+	0.751825i	0.0150035	+	0.0259869i
$838$	11.1628	+	38.1426i	0.385613	+	1.31761i
$839$	32.1347			1.10941			0.554707	−	0.832046i	$-0.312830\pi$
$839$	32.1347			1.10941			0.554707	+	0.832046i	$0.312830\pi$
$840$		0			0
$841$	−22.8930			−0.789414
$842$	−6.20735	−	21.2101i	−0.213919	−	0.730948i
$843$	−11.4320	−	19.8007i	−0.393738	−	0.681974i
$844$	16.7899	+	26.2282i	0.577933	+	0.902811i
$845$	−6.01964	−	3.47544i	−0.207082	−	0.119559i
$846$	−20.1383	+	21.0828i	−0.692368	+	0.724842i
$847$		0			0
$848$	−51.8919	+	4.76870i	−1.78198	+	0.163758i
$849$	−15.4900	+	26.8295i	−0.531616	+	0.920785i
$850$	2.08108	−	8.54511i	0.0713804	−	0.293095i
$851$	43.7702	−	25.2707i	1.50042	−	0.866270i
$852$	−5.16037	+	9.96612i	−0.176791	+	0.341434i
$853$			45.8238i			1.56898i	0.620142	+	0.784489i	$0.287075\pi$
$853$			45.8238i			1.56898i	−0.620142	+	0.784489i	$0.712925\pi$
$854$		0			0
$855$			0.381359i			0.0130422i
$856$	17.0041	+	49.5578i	0.581187	+	1.69385i
$857$	32.3250	−	18.6629i	1.10420	−	0.637512i	0.166881	−	0.985977i	$-0.446630\pi$
$857$	32.3250	−	18.6629i	1.10420	−	0.637512i	0.937322	+	0.348465i	$0.113297\pi$
$858$	6.44574	+	1.56980i	0.220054	+	0.0535919i
$859$	6.62605	−	11.4767i	0.226078	−	0.391579i	−0.730564	−	0.682844i	$-0.760743\pi$
$859$	6.62605	−	11.4767i	0.226078	−	0.391579i	0.956642	+	0.291265i	$0.0940762\pi$
$860$	0.173549	+	3.78501i	0.00591798	+	0.129068i
$861$		0			0
$862$	−20.4017	−	19.4877i	−0.694884	−	0.663752i
$863$	6.87116	+	3.96707i	0.233897	+	0.135041i	0.612369	−	0.790572i	$-0.290217\pi$
$863$	6.87116	+	3.96707i	0.233897	+	0.135041i	−0.378471	+	0.925613i	$0.623550\pi$
$864$	29.6519	+	4.39808i	1.00878	+	0.149626i
$865$	7.81044	+	13.5281i	0.265563	+	0.459968i
$866$	−16.0559	+	4.69892i	−0.545601	+	0.159676i
$867$	−24.1229			−0.819255
$868$		0			0
$869$	−27.3334			−0.927221
$870$	−3.73297	+	1.09249i	−0.126560	+	0.0370389i
$871$	−6.36291	−	11.0209i	−0.215599	−	0.373428i
$872$	−3.78322	+	19.3510i	−0.128116	+	0.655308i
$873$	−16.0631	−	9.27406i	−0.543655	−	0.313879i
$874$	1.45394	+	1.38880i	0.0491803	+	0.0469769i
$875$		0			0
$876$	−16.9326	+	0.776391i	−0.572101	+	0.0262318i
$877$	−25.8770	+	44.8202i	−0.873803	+	1.51347i	−0.0157714	+	0.999876i	$0.505020\pi$
$877$	−25.8770	+	44.8202i	−0.873803	+	1.51347i	−0.858032	+	0.513596i	$0.828313\pi$
$878$	38.3290	+	9.33465i	1.29354	+	0.315029i
$879$	−4.12932	+	2.38407i	−0.139279	+	0.0804126i
$880$	−2.86989	+	6.22542i	−0.0967438	+	0.209859i
$881$		−	7.69261i		−	0.259171i	−0.991568	−	0.129585i	$-0.958635\pi$
$881$		−	7.69261i		−	0.259171i	0.991568	−	0.129585i	$-0.0413646\pi$
$882$		0			0
$883$		−	35.2766i		−	1.18715i	−0.804778	−	0.593575i	$-0.797716\pi$
$883$		−	35.2766i		−	1.18715i	0.804778	−	0.593575i	$-0.202284\pi$
$884$	27.1652	+	14.0659i	0.913665	+	0.473087i
$885$	−4.13251	+	2.38591i	−0.138913	+	0.0802013i
$886$	6.42472	−	26.3806i	0.215843	−	0.886272i
$887$	−5.81304	+	10.0685i	−0.195183	+	0.338067i	−0.946960	−	0.321350i	$-0.895863\pi$
$887$	−5.81304	+	10.0685i	−0.195183	+	0.338067i	0.751778	+	0.659417i	$0.229197\pi$
$888$	18.2682	+	15.9151i	0.613041	+	0.534076i
$889$		0			0
$890$	−1.74235	+	1.82407i	−0.0584036	+	0.0611429i
$891$	0.910494	+	0.525674i	0.0305027	+	0.0176107i
$892$	−19.3166	+	12.3655i	−0.646769	+	0.414028i
$893$	−1.26709	−	2.19466i	−0.0424014	−	0.0734414i
$894$	−4.30366	−	14.7053i	−0.143936	−	0.491819i
$895$	6.38903			0.213562
$896$		0			0
$897$	17.9744			0.600149
$898$	1.96242	+	6.70545i	0.0654867	+	0.223764i
$899$	0.202426	+	0.350613i	0.00675130	+	0.0116936i
$900$	−2.96690	+	1.89926i	−0.0988967	+	0.0633086i
$901$	−70.1635	−	40.5089i	−2.33749	−	1.34955i
$902$	13.9638	−	14.6188i	0.464945	−	0.486752i
$903$		0			0
$904$	0.711543	+	0.619890i	0.0236656	+	0.0206172i
$905$	0.593848	−	1.02858i	0.0197402	−	0.0341910i
$906$	−5.56304	+	22.8424i	−0.184820	+	0.758888i
$907$	20.0723	−	11.5887i	0.666490	−	0.384798i	−0.128256	−	0.991741i	$-0.540938\pi$
$907$	20.0723	−	11.5887i	0.666490	−	0.384798i	0.794745	+	0.606943i	$0.207604\pi$
$908$	−15.9033	−	8.23457i	−0.527768	−	0.273274i
$909$		−	0.792212i		−	0.0262760i
$910$		0			0
$911$			43.0818i			1.42737i	0.700469	+	0.713683i	$0.252974\pi$
$911$			43.0818i			1.42737i	−0.700469	+	0.713683i	$0.747026\pi$
$912$	−0.403521	+	0.875327i	−0.0133619	+	0.0289850i
$913$	−8.13067	+	4.69424i	−0.269086	+	0.155357i
$914$	−35.8962	−	8.74216i	−1.18734	−	0.289165i
$915$	3.89550	−	6.74720i	0.128781	−	0.223056i
$916$	−4.80845	+	0.220476i	−0.158876	+	0.00728473i
$917$		0			0
$918$	33.7010	+	32.1911i	1.11230	+	1.06247i
$919$	18.1455	+	10.4763i	0.598564	+	0.345581i	0.768476	−	0.639878i	$-0.221015\pi$
$919$	18.1455	+	10.4763i	0.598564	+	0.345581i	−0.169912	+	0.985459i	$0.554348\pi$
$920$	−3.56366	+	18.2280i	−0.117490	+	0.600958i
$921$	−7.96699	−	13.7992i	−0.262521	−	0.454700i
$922$	−18.1733	+	5.31858i	−0.598504	+	0.175158i
$923$	12.4008			0.408177
$924$		0			0
$925$	−7.69679			−0.253069
$926$	22.2620	−	6.51518i	0.731573	−	0.214102i
$927$	−8.17448	−	14.1586i	−0.268485	−	0.465030i
$928$	13.8281	+	2.05104i	0.453930	+	0.0673287i
$929$	8.90058	+	5.13875i	0.292019	+	0.168597i	0.638852	−	0.769330i	$-0.279410\pi$
$929$	8.90058	+	5.13875i	0.292019	+	0.168597i	−0.346833	+	0.937927i	$0.612743\pi$
$930$	−0.186457	−	0.178104i	−0.00611418	−	0.00584025i
$931$		0			0
$932$	0.234584	+	5.11613i	0.00768405	+	0.167585i
$933$	−14.2807	+	24.7349i	−0.467529	+	0.809784i
$934$	16.3969	+	3.99331i	0.536524	+	0.130665i
$935$	−9.22992	+	5.32890i	−0.301851	+	0.174274i
$936$	−3.97662	−	11.5897i	−0.129980	−	0.378822i
$937$			38.3992i			1.25445i	0.778839	+	0.627224i	$0.215809\pi$
$937$			38.3992i			1.25445i	−0.778839	+	0.627224i	$0.784191\pi$
$938$		0			0
$939$		−	36.1764i		−	1.18057i
$940$	10.7637	−	20.7876i	0.351072	−	0.678018i
$941$	13.2891	−	7.67245i	0.433211	−	0.250115i	−0.267502	−	0.963557i	$-0.586198\pi$
$941$	13.2891	−	7.67245i	0.433211	−	0.250115i	0.700714	+	0.713443i	$0.252865\pi$
$942$	3.06310	−	12.5774i	0.0998011	−	0.409793i
$943$	27.3869	−	47.4354i	0.891839	−	1.54471i
$944$	17.0784	−	1.56945i	0.555853	−	0.0510811i
$945$		0			0
$946$	3.17150	−	3.32025i	0.103114	−	0.107951i
$947$	−23.0560	−	13.3114i	−0.749219	−	0.432562i	0.0761928	−	0.997093i	$-0.475724\pi$
$947$	−23.0560	−	13.3114i	−0.749219	−	0.432562i	−0.825412	+	0.564531i	$0.809057\pi$
$948$	−19.1401	−	29.8995i	−0.621643	−	0.971091i
$949$	9.36474	+	16.2202i	0.303992	+	0.526530i
$950$	−0.0860036	−	0.293869i	−0.00279032	−	0.00953436i
$951$	3.25052			0.105405
$952$		0			0
$953$	5.39146			0.174646			0.0873232	−	0.996180i	$-0.472169\pi$
$953$	5.39146			0.174646			0.0873232	+	0.996180i	$0.472169\pi$
$954$	9.11485	+	31.1449i	0.295104	+	1.00835i
$955$	−5.28049	−	9.14608i	−0.170873	−	0.295960i
$956$	6.80613	+	10.6321i	0.220126	+	0.343867i
$957$	4.08195	+	2.35672i	0.131951	+	0.0761818i
$958$	36.3163	−	38.0197i	1.17333	−	1.22836i
$959$		0			0
$960$	−8.81952	+	1.22002i	−0.284649	+	0.0393759i
$961$	15.4866	−	26.8235i	0.499567	−	0.865276i
$962$	6.33475	−	26.0111i	0.204241	−	0.838632i
$963$	28.2564	−	16.3138i	0.910548	−	0.525705i
$964$	8.85237	−	17.0964i	0.285116	−	0.550638i
$965$			5.40807i			0.174092i
$966$		0			0
$967$			6.14901i			0.197739i	0.995100	+	0.0988694i	$0.0315226\pi$
$967$			6.14901i			0.197739i	−0.995100	+	0.0988694i	$0.968477\pi$
$968$	−21.5711	+	7.40140i	−0.693323	+	0.237890i
$969$	−1.29778	+	0.749271i	−0.0416906	+	0.0240701i
$970$	14.4695	+	3.52390i	0.464587	+	0.113146i
$971$	15.6816	−	27.1613i	0.503247	−	0.871649i	−0.496746	−	0.867896i	$-0.665472\pi$
$971$	15.6816	−	27.1613i	0.503247	−	0.871649i	0.999993	−	0.00375309i	$-0.00119465\pi$
$972$	−1.39377	−	30.3972i	−0.0447051	−	0.974991i
$973$		0			0
$974$	−1.00053	−	0.955707i	−0.0320591	−	0.0306228i
$975$	−2.37054	−	1.36863i	−0.0759181	−	0.0438313i
$976$	−22.8671	+	16.1612i	−0.731957	+	0.517307i
$977$	−19.6557	−	34.0446i	−0.628841	−	1.08918i	−0.987785	−	0.155825i	$-0.950196\pi$
$977$	−19.6557	−	34.0446i	−0.628841	−	1.08918i	0.358944	−	0.933359i	$-0.383137\pi$
$978$	18.1066	−	5.29908i	0.578985	−	0.169446i
$979$	3.05681			0.0976961
$980$		0			0
$981$	12.2787			0.392030
$982$	24.9966	−	7.31550i	0.797674	−	0.233447i
$983$	15.2428	+	26.4013i	0.486170	+	0.842072i	0.999874	−	0.0158960i	$-0.00506008\pi$
$983$	15.2428	+	26.4013i	0.486170	+	0.842072i	−0.513703	+	0.857968i	$0.671727\pi$
$984$	25.7694	+	5.03805i	0.821499	+	0.160607i
$985$	−15.5455	−	8.97522i	−0.495322	−	0.285974i
$986$	15.7164	+	15.0123i	0.500513	+	0.478089i
$987$		0			0
$988$	1.06391	−	0.0487820i	0.0338474	−	0.00155196i
$989$	6.22015	−	10.7736i	0.197789	−	0.342581i
$990$	4.14769	+	1.01013i	0.131822	+	0.0321040i
$991$	11.3870	−	6.57431i	0.361721	−	0.208840i	−0.308114	−	0.951349i	$-0.599698\pi$
$991$	11.3870	−	6.57431i	0.361721	−	0.208840i	0.669835	+	0.742510i	$0.266365\pi$
$992$	0.340602	+	0.861881i	0.0108141	+	0.0273647i
$993$			4.39461i			0.139459i
$994$		0			0
$995$			7.65076i			0.242545i
$996$	−10.8284	−	5.60687i	−0.343112	−	0.177661i
$997$	−9.80253	+	5.65950i	−0.310449	+	0.179238i	−0.647128	−	0.762382i	$-0.724030\pi$
$997$	−9.80253	+	5.65950i	−0.310449	+	0.179238i	0.336678	+	0.941620i	$0.390697\pi$
$998$	−6.53671	+	26.8404i	−0.206916	+	0.849618i
$999$	20.3931	−	35.3218i	0.645208	−	1.11753i

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

)

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	980.2.o.f.411.7		32
4.3	odd	2	inner	980.2.o.f.411.15		32
7.2	even	3		980.2.g.a.391.12		32
7.3	odd	6	inner	980.2.o.f.31.15		32
7.4	even	3		140.2.o.a.31.15	yes	32
7.5	odd	6		980.2.g.a.391.11		32
7.6	odd	2		140.2.o.a.131.7	yes	32
28.3	even	6	inner	980.2.o.f.31.7		32
28.11	odd	6		140.2.o.a.31.7	✓	32
28.19	even	6		980.2.g.a.391.10		32
28.23	odd	6		980.2.g.a.391.9		32
28.27	even	2		140.2.o.a.131.15	yes	32
35.4	even	6		700.2.p.c.451.2		32
35.13	even	4		700.2.t.d.299.2		32
35.18	odd	12		700.2.t.c.199.10		32
35.27	even	4		700.2.t.c.299.15		32
35.32	odd	12		700.2.t.d.199.7		32
35.34	odd	2		700.2.p.c.551.10		32
140.27	odd	4		700.2.t.c.299.10		32
140.39	odd	6		700.2.p.c.451.10		32
140.67	even	12		700.2.t.d.199.2		32
140.83	odd	4		700.2.t.d.299.7		32
140.123	even	12		700.2.t.c.199.15		32
140.139	even	2		700.2.p.c.551.2		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
140.2.o.a.31.7	✓	32	28.11	odd	6
140.2.o.a.31.15	yes	32	7.4	even	3
140.2.o.a.131.7	yes	32	7.6	odd	2
140.2.o.a.131.15	yes	32	28.27	even	2
700.2.p.c.451.2		32	35.4	even	6
700.2.p.c.451.10		32	140.39	odd	6
700.2.p.c.551.2		32	140.139	even	2
700.2.p.c.551.10		32	35.34	odd	2
700.2.t.c.199.10		32	35.18	odd	12
700.2.t.c.199.15		32	140.123	even	12
700.2.t.c.299.10		32	140.27	odd	4
700.2.t.c.299.15		32	35.27	even	4
700.2.t.d.199.2		32	140.67	even	12
700.2.t.d.199.7		32	35.32	odd	12
700.2.t.d.299.2		32	35.13	even	4
700.2.t.d.299.7		32	140.83	odd	4
980.2.g.a.391.9		32	28.23	odd	6
980.2.g.a.391.10		32	28.19	even	6
980.2.g.a.391.11		32	7.5	odd	6
980.2.g.a.391.12		32	7.2	even	3
980.2.o.f.31.7		32	28.3	even	6	inner
980.2.o.f.31.15		32	7.3	odd	6	inner
980.2.o.f.411.7		32	1.1	even	1	trivial
980.2.o.f.411.15		32	4.3	odd	2	inner

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Classical	Maass
Hilbert	Bianchi

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

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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Newspace parameters

Newform invariants

Embedding invariants

$q$ -expansion

Character values

Coefficient data

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	980.2.o.f.411.7

Level	$980$
Weight	$2$
Character	980.411
Analytic conductor	$7.825$
Analytic rank	$0$
Dimension	$32$
Inner twists	$4$