LMFDB - Embedded newform 930.2.bo.a.179.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(179,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 15, 13]))

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

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

chi := DirichletCharacter("930.179");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bo (of order $30$, degree $8$, 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:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$256$
Relative dimension:	$32$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			179.5
Character	$\chi$	$=$	930.179
Dual form			930.2.bo.a.239.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.309017 + 0.951057i) q^{2} +(-1.59415 - 0.677259i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.09420 + 0.783790i) q^{5} +(0.151491 - 1.72541i) q^{6} +(1.79370 - 4.02872i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(2.08264 + 2.15931i) q^{9} +O(q^{10})$	\(q+(0.309017 + 0.951057i) q^{2} +(-1.59415 - 0.677259i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.09420 + 0.783790i) q^{5} +(0.151491 - 1.72541i) q^{6} +(1.79370 - 4.02872i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(2.08264 + 2.15931i) q^{9} +(-1.39257 - 1.74950i) q^{10} +(0.176829 + 1.68241i) q^{11} +(1.68778 - 0.389105i) q^{12} +(-1.31488 - 1.46032i) q^{13} +(4.38583 + 0.460969i) q^{14} +(3.86930 + 0.168834i) q^{15} +(0.309017 - 0.951057i) q^{16} +(3.12531 + 0.328483i) q^{17} +(-1.41005 + 2.64797i) q^{18} +(-4.36455 + 4.84733i) q^{19} +(1.23354 - 1.86504i) q^{20} +(-5.58792 + 5.20760i) q^{21} +(-1.54543 + 0.688069i) q^{22} +(-1.92425 + 2.64850i) q^{23} +(0.891613 + 1.48493i) q^{24} +(3.77135 - 3.28283i) q^{25} +(0.982530 - 1.70179i) q^{26} +(-1.85764 - 4.85275i) q^{27} +(0.916888 + 4.31362i) q^{28} +(0.449037 + 1.38199i) q^{29} +(1.03511 + 3.73210i) q^{30} +(-2.69645 + 4.87126i) q^{31} +1.00000 q^{32} +(0.857538 - 2.80178i) q^{33} +(0.653367 + 3.07385i) q^{34} +(-0.598699 + 9.84284i) q^{35} +(-2.95410 - 0.522770i) q^{36} +(-4.40779 - 7.63452i) q^{37} +(-5.95880 - 2.65303i) q^{38} +(1.10710 + 3.21849i) q^{39} +(2.15494 + 0.596840i) q^{40} +(-1.08752 + 5.11636i) q^{41} +(-6.67948 - 3.70520i) q^{42} +(-8.16263 + 9.06552i) q^{43} +(-1.13196 - 1.25716i) q^{44} +(-6.05391 - 2.88967i) q^{45} +(-3.11350 - 1.01164i) q^{46} +(-3.14188 + 9.66972i) q^{47} +(-1.13673 + 1.30684i) q^{48} +(-8.32932 - 9.25065i) q^{49} +(4.28756 + 2.57231i) q^{50} +(-4.75975 - 2.64029i) q^{51} +(1.92212 + 0.408559i) q^{52} +(-1.43827 - 3.23040i) q^{53} +(4.04120 - 3.26630i) q^{54} +(-1.68898 - 3.38472i) q^{55} +(-3.81916 + 2.20499i) q^{56} +(10.2407 - 4.77144i) q^{57} +(-1.17559 + 0.854119i) q^{58} +(0.261734 + 1.23136i) q^{59} +(-3.22957 + 2.13773i) q^{60} +4.24255i q^{61} +(-5.46609 - 1.05917i) q^{62} +(12.4349 - 4.51723i) q^{63} +(0.309017 + 0.951057i) q^{64} +(3.89821 + 2.02762i) q^{65} +(2.92965 - 0.0502317i) q^{66} +(-7.66469 - 4.42521i) q^{67} +(-2.72151 + 1.57126i) q^{68} +(4.86127 - 2.91890i) q^{69} +(-9.54610 + 2.47221i) q^{70} +(-0.425657 - 0.956041i) q^{71} +(-0.415683 - 2.97106i) q^{72} +(-0.156441 - 1.48844i) q^{73} +(5.89878 - 6.55126i) q^{74} +(-8.23542 + 2.67915i) q^{75} +(0.681810 - 6.48699i) q^{76} +(7.09516 + 2.30536i) q^{77} +(-2.71885 + 2.04749i) q^{78} +(13.0947 + 1.37631i) q^{79} +(0.0982855 + 2.23391i) q^{80} +(-0.325212 + 8.99412i) q^{81} +(-5.20201 + 0.546753i) q^{82} +(-1.66456 + 7.83115i) q^{83} +(1.45978 - 7.49753i) q^{84} +(-6.80248 + 1.76168i) q^{85} +(-11.1442 - 4.96172i) q^{86} +(0.220134 - 2.50722i) q^{87} +(0.845841 - 1.46504i) q^{88} +(-14.9192 + 10.8394i) q^{89} +(0.877475 - 6.65057i) q^{90} +(-8.24174 + 2.67791i) q^{91} -3.27373i q^{92} +(7.59765 - 5.93933i) q^{93} -10.1673 q^{94} +(5.34096 - 13.5722i) q^{95} +(-1.59415 - 0.677259i) q^{96} +(9.03469 + 12.4352i) q^{97} +(6.22399 - 10.7803i) q^{98} +(-3.26458 + 3.88569i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 256 q - 64 q^{2} - 64 q^{4} - 2 q^{5} - 64 q^{8} + 4 q^{9}+O(q^{10}) $ 256 * q - 64 * q^2 - 64 * q^4 - 2 * q^5 - 64 * q^8 + 4 * q^9	$ 256 q - 64 q^{2} - 64 q^{4} - 2 q^{5} - 64 q^{8} + 4 q^{9} - 2 q^{10} + 20 q^{15} - 64 q^{16} - 6 q^{17} - 6 q^{18} - 4 q^{19} + 3 q^{20} + 20 q^{23} - 2 q^{25} + 42 q^{31} + 256 q^{32} + 8 q^{33} + 14 q^{34} - 16 q^{35} + 4 q^{36} + 36 q^{38} + 8 q^{39} + 3 q^{40} - 79 q^{45} - 10 q^{46} - 6 q^{47} - 40 q^{49} - 7 q^{50} + 68 q^{51} - 34 q^{53} - 6 q^{57} - 20 q^{60} + 2 q^{62} - 72 q^{63} - 64 q^{64} + 8 q^{66} - 6 q^{68} + 10 q^{69} - 16 q^{70} - 6 q^{72} - 2 q^{75} - 24 q^{76} + 100 q^{77} + 8 q^{78} + 40 q^{79} - 2 q^{80} + 12 q^{81} - 26 q^{83} - 30 q^{85} + 16 q^{87} - 49 q^{90} - 20 q^{91} - 22 q^{93} + 4 q^{94} + 56 q^{95} + 130 q^{98} + 102 q^{99}+O(q^{100}) $ 256 * q - 64 * q^2 - 64 * q^4 - 2 * q^5 - 64 * q^8 + 4 * q^9 - 2 * q^10 + 20 * q^15 - 64 * q^16 - 6 * q^17 - 6 * q^18 - 4 * q^19 + 3 * q^20 + 20 * q^23 - 2 * q^25 + 42 * q^31 + 256 * q^32 + 8 * q^33 + 14 * q^34 - 16 * q^35 + 4 * q^36 + 36 * q^38 + 8 * q^39 + 3 * q^40 - 79 * q^45 - 10 * q^46 - 6 * q^47 - 40 * q^49 - 7 * q^50 + 68 * q^51 - 34 * q^53 - 6 * q^57 - 20 * q^60 + 2 * q^62 - 72 * q^63 - 64 * q^64 + 8 * q^66 - 6 * q^68 + 10 * q^69 - 16 * q^70 - 6 * q^72 - 2 * q^75 - 24 * q^76 + 100 * q^77 + 8 * q^78 + 40 * q^79 - 2 * q^80 + 12 * q^81 - 26 * q^83 - 30 * q^85 + 16 * q^87 - 49 * q^90 - 20 * q^91 - 22 * q^93 + 4 * q^94 + 56 * q^95 + 130 * q^98 + 102 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{13}{30}\right)$

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 $

$2$	0.309017	+	0.951057i	0.218508	+	0.672499i
$2$	0.309017	+	0.951057i	0.218508	+	0.672499i
$3$	−1.59415	−	0.677259i	−0.920384	−	0.391016i
$3$	−1.59415	−	0.677259i	−0.920384	−	0.391016i
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	−2.09420	+	0.783790i	−0.936555	+	0.350522i
$5$	−2.09420	+	0.783790i	−0.936555	+	0.350522i
$6$	0.151491	−	1.72541i	0.0618461	−	0.704397i
$7$	1.79370	−	4.02872i	0.677956	−	1.52271i	−0.165899	−	0.986143i	$-0.553053\pi$
$7$	1.79370	−	4.02872i	0.677956	−	1.52271i	0.843855	−	0.536571i	$-0.180281\pi$
$8$	−0.809017	−	0.587785i	−0.286031	−	0.207813i
$9$	2.08264	+	2.15931i	0.694214	+	0.719769i
$10$	−1.39257	−	1.74950i	−0.440370	−	0.553240i
$11$	0.176829	+	1.68241i	0.0533159	+	0.507267i	0.988294	+	0.152562i	$0.0487522\pi$
$11$	0.176829	+	1.68241i	0.0533159	+	0.507267i	−0.934978	+	0.354706i	$0.884581\pi$
$12$	1.68778	−	0.389105i	0.487220	−	0.112325i
$13$	−1.31488	−	1.46032i	−0.364682	−	0.405021i	0.532679	−	0.846317i	$-0.321185\pi$
$13$	−1.31488	−	1.46032i	−0.364682	−	0.405021i	−0.897361	+	0.441297i	$0.854519\pi$
$14$	4.38583	+	0.460969i	1.17216	+	0.123199i
$15$	3.86930	+	0.168834i	0.999049	+	0.0435929i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	3.12531	+	0.328483i	0.757999	+	0.0796689i	0.475640	−	0.879640i	$-0.342217\pi$
$17$	3.12531	+	0.328483i	0.757999	+	0.0796689i	0.282359	+	0.959309i	$0.408883\pi$
$18$	−1.41005	+	2.64797i	−0.332352	+	0.624133i
$19$	−4.36455	+	4.84733i	−1.00130	+	1.11205i	−0.00759794	+	0.999971i	$0.502419\pi$
$19$	−4.36455	+	4.84733i	−1.00130	+	1.11205i	−0.993699	+	0.112082i	$0.964248\pi$
$20$	1.23354	−	1.86504i	0.275829	−	0.417035i
$21$	−5.58792	+	5.20760i	−1.21938	+	1.13639i
$22$	−1.54543	+	0.688069i	−0.329486	+	0.146697i
$23$	−1.92425	+	2.64850i	−0.401234	+	0.552251i	−0.961053	−	0.276363i	$-0.910871\pi$
$23$	−1.92425	+	2.64850i	−0.401234	+	0.552251i	0.559819	+	0.828615i	$0.310871\pi$
$24$	0.891613	+	1.48493i	0.182000	+	0.303111i
$25$	3.77135	−	3.28283i	0.754269	−	0.656565i
$26$	0.982530	−	1.70179i	0.192690	−	0.333749i
$27$	−1.85764	−	4.85275i	−0.357502	−	0.933912i
$28$	0.916888	+	4.31362i	0.173275	+	0.815197i
$29$	0.449037	+	1.38199i	0.0833840	+	0.256630i	0.984053	−	0.177877i	$-0.0569228\pi$
$29$	0.449037	+	1.38199i	0.0833840	+	0.256630i	−0.900669	+	0.434506i	$0.856923\pi$
$30$	1.03511	+	3.73210i	0.188984	+	0.681385i
$31$	−2.69645	+	4.87126i	−0.484297	+	0.874904i
$31$	−2.69645	+	4.87126i	−0.484297	+	0.874904i
$32$	1.00000			0.176777
$33$	0.857538	−	2.80178i	0.149278	−	0.487728i
$34$	0.653367	+	3.07385i	0.112052	+	0.527161i
$35$	−0.598699	+	9.84284i	−0.101199	+	1.66374i
$36$	−2.95410	−	0.522770i	−0.492350	−	0.0871284i
$37$	−4.40779	−	7.63452i	−0.724637	−	1.25511i	−0.959123	−	0.282989i	$-0.908674\pi$
$37$	−4.40779	−	7.63452i	−0.724637	−	1.25511i	0.234486	−	0.972119i	$-0.424659\pi$
$38$	−5.95880	−	2.65303i	−0.966645	−	0.430378i
$39$	1.10710	+	3.21849i	0.177278	+	0.515371i
$40$	2.15494	+	0.596840i	0.340726	+	0.0943687i
$41$	−1.08752	+	5.11636i	−0.169841	+	0.799041i	0.807915	+	0.589299i	$0.200596\pi$
$41$	−1.08752	+	5.11636i	−0.169841	+	0.799041i	−0.977757	+	0.209742i	$0.932737\pi$
$42$	−6.67948	−	3.70520i	−1.03067	−	0.571724i
$43$	−8.16263	+	9.06552i	−1.24479	+	1.38248i	−0.349534	+	0.936924i	$0.613660\pi$
$43$	−8.16263	+	9.06552i	−1.24479	+	1.38248i	−0.895255	+	0.445555i	$0.853006\pi$
$44$	−1.13196	−	1.25716i	−0.170649	−	0.189525i
$45$	−6.05391	−	2.88967i	−0.902464	−	0.430766i
$46$	−3.11350	−	1.01164i	−0.459061	−	0.149158i
$47$	−3.14188	+	9.66972i	−0.458291	+	1.41047i	0.408937	+	0.912563i	$0.365900\pi$
$47$	−3.14188	+	9.66972i	−0.458291	+	1.41047i	−0.867228	+	0.497911i	$0.834100\pi$
$48$	−1.13673	+	1.30684i	−0.164073	+	0.188627i
$49$	−8.32932	−	9.25065i	−1.18990	−	1.32152i
$50$	4.28756	+	2.57231i	0.606353	+	0.363780i
$51$	−4.75975	−	2.64029i	−0.666498	−	0.369715i
$52$	1.92212	+	0.408559i	0.266550	+	0.0566569i
$53$	−1.43827	−	3.23040i	−0.197561	−	0.443729i	0.787414	−	0.616424i	$-0.211419\pi$
$53$	−1.43827	−	3.23040i	−0.197561	−	0.443729i	−0.984975	+	0.172695i	$0.944753\pi$
$54$	4.04120	−	3.26630i	0.549937	−	0.444487i
$55$	−1.68898	−	3.38472i	−0.227741	−	0.456395i
$56$	−3.81916	+	2.20499i	−0.510357	+	0.294655i
$57$	10.2407	−	4.77144i	1.35641	−	0.631993i
$58$	−1.17559	+	0.854119i	−0.154363	+	0.112151i
$59$	0.261734	+	1.23136i	0.0340749	+	0.160310i	0.991895	−	0.127057i	$-0.0405533\pi$
$59$	0.261734	+	1.23136i	0.0340749	+	0.160310i	−0.957820	+	0.287367i	$0.907220\pi$
$60$	−3.22957	+	2.13773i	−0.416936	+	0.275980i
$61$			4.24255i			0.543203i	0.962410	+	0.271602i	$0.0875533\pi$
$61$			4.24255i			0.543203i	−0.962410	+	0.271602i	$0.912447\pi$
$62$	−5.46609	−	1.05917i	−0.694194	−	0.134515i
$63$	12.4349	−	4.51723i	1.56665	−	0.569117i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	3.89821	+	2.02762i	0.483514	+	0.251495i
$66$	2.92965	−	0.0502317i	0.360615	−	0.00618310i
$67$	−7.66469	−	4.42521i	−0.936391	−	0.540626i	−0.0475639	−	0.998868i	$-0.515146\pi$
$67$	−7.66469	−	4.42521i	−0.936391	−	0.540626i	−0.888827	+	0.458243i	$0.848479\pi$
$68$	−2.72151	+	1.57126i	−0.330031	+	0.190543i
$69$	4.86127	−	2.91890i	0.585228	−	0.351395i
$70$	−9.54610	+	2.47221i	−1.14098	+	0.295485i
$71$	−0.425657	−	0.956041i	−0.0505162	−	0.113461i	0.886524	−	0.462682i	$-0.153113\pi$
$71$	−0.425657	−	0.956041i	−0.0505162	−	0.113461i	−0.937040	+	0.349221i	$0.886446\pi$
$72$	−0.415683	−	2.97106i	−0.0489888	−	0.350143i
$73$	−0.156441	−	1.48844i	−0.0183100	−	0.174208i	0.981545	−	0.191231i	$-0.0612479\pi$
$73$	−0.156441	−	1.48844i	−0.0183100	−	0.174208i	−0.999855	+	0.0170227i	$0.994581\pi$
$74$	5.89878	−	6.55126i	0.685719	−	0.761568i
$75$	−8.23542	+	2.67915i	−0.950945	+	0.309361i
$76$	0.681810	−	6.48699i	0.0782090	−	0.744109i
$77$	7.09516	+	2.30536i	0.808569	+	0.262720i
$78$	−2.71885	+	2.04749i	−0.307850	+	0.231832i
$79$	13.0947	+	1.37631i	1.47327	+	0.154847i	0.806863	−	0.590738i	$-0.201163\pi$
$79$	13.0947	+	1.37631i	1.47327	+	0.154847i	0.666410	+	0.745585i	$0.267830\pi$
$80$	0.0982855	+	2.23391i	0.0109887	+	0.249758i
$81$	−0.325212	+	8.99412i	−0.0361346	+	0.999347i
$82$	−5.20201	+	0.546753i	−0.574466	+	0.0603788i
$83$	−1.66456	+	7.83115i	−0.182709	+	0.859581i	0.787311	+	0.616556i	$0.211473\pi$
$83$	−1.66456	+	7.83115i	−0.182709	+	0.859581i	−0.970020	+	0.243024i	$0.921861\pi$
$84$	1.45978	−	7.49753i	0.159275	−	0.818048i
$85$	−6.80248	+	1.76168i	−0.737833	+	0.191081i
$86$	−11.1442	−	4.96172i	−1.20171	−	0.535036i
$87$	0.220134	−	2.50722i	0.0236008	−	0.268802i
$88$	0.845841	−	1.46504i	0.0901670	−	0.156174i
$89$	−14.9192	+	10.8394i	−1.58143	+	1.14898i	−0.666405	+	0.745590i	$0.732168\pi$
$89$	−14.9192	+	10.8394i	−1.58143	+	1.14898i	−0.915029	+	0.403388i	$0.867832\pi$
$90$	0.877475	−	6.65057i	0.0924939	−	0.701031i
$91$	−8.24174	+	2.67791i	−0.863970	+	0.280721i
$92$		−	3.27373i		−	0.341310i
$93$	7.59765	−	5.93933i	0.787840	−	0.615880i
$94$	−10.1673			−1.04868
$95$	5.34096	−	13.5722i	0.547971	−	1.39247i
$96$	−1.59415	−	0.677259i	−0.162702	−	0.0691224i
$97$	9.03469	+	12.4352i	0.917334	+	1.26260i	0.964599	+	0.263719i	$0.0849493\pi$
$97$	9.03469	+	12.4352i	0.917334	+	1.26260i	−0.0472655	+	0.998882i	$0.515051\pi$
$98$	6.22399	−	10.7803i	0.628718	−	1.08897i
$99$	−3.26458	+	3.88569i	−0.328102	+	0.390527i
$100$	−1.12149	+	4.87260i	−0.112149	+	0.487260i
$101$	−3.81900	+	5.25641i	−0.380005	+	0.523032i	−0.955586	−	0.294713i	$-0.904776\pi$
$101$	−3.81900	+	5.25641i	−0.380005	+	0.523032i	0.575581	+	0.817745i	$0.304776\pi$
$102$	1.04023	−	5.34269i	0.102998	−	0.529005i
$103$	−0.0618328	+	0.290900i	−0.00609256	+	0.0286633i	−0.981089	−	0.193558i	$-0.937997\pi$
$103$	−0.0618328	+	0.290900i	−0.00609256	+	0.0286633i	0.974996	+	0.222221i	$0.0713306\pi$
$104$	0.205405	+	1.95429i	0.0201416	+	0.191634i
$105$	7.62056	−	15.2855i	0.743691	−	1.49171i
$106$	2.62784	−	2.36612i	0.255238	−	0.229818i
$107$	0.0244571	−	0.232693i	0.00236435	−	0.0224953i	−0.993276	−	0.115769i	$-0.963067\pi$
$107$	0.0244571	−	0.232693i	0.00236435	−	0.0224953i	0.995640	+	0.0932741i	$0.0297333\pi$
$108$	4.35523	+	2.83407i	0.419083	+	0.272708i
$109$	4.55719	−	14.0256i	0.436499	−	1.34341i	−0.455043	−	0.890469i	$-0.650376\pi$
$109$	4.55719	−	14.0256i	0.436499	−	1.34341i	0.891542	−	0.452937i	$-0.149624\pi$
$110$	2.69713	−	2.65225i	0.257162	−	0.252882i
$111$	1.85615	+	15.1558i	0.176178	+	1.43853i
$112$	−3.27726	−	2.95086i	−0.309672	−	0.278830i
$113$	1.86778	+	17.7707i	0.175706	+	1.67173i	0.626743	+	0.779226i	$0.284388\pi$
$113$	1.86778	+	17.7707i	0.175706	+	1.67173i	−0.451037	+	0.892505i	$0.648946\pi$
$114$	7.70245	+	8.26498i	0.721400	+	0.774087i
$115$	1.95389	−	7.05471i	0.182202	−	0.657855i
$116$	−1.17559	−	0.854119i	−0.109151	−	0.0793029i
$117$	0.414861	−	5.88056i	0.0383539	−	0.543658i
$118$	−1.09022	+	0.629437i	−0.100363	+	0.0579443i
$119$	6.92924	−	12.0018i	0.635203	−	1.10020i
$120$	−3.03109	−	2.41091i	−0.276700	−	0.220085i
$121$	7.96037	−	1.69203i	0.723670	−	0.153821i
$122$	−4.03491	+	1.31102i	−0.365303	+	0.118694i
$123$	5.19876	−	7.41972i	0.468757	−	0.669014i
$124$	−0.681780	−	5.52586i	−0.0612257	−	0.496237i
$125$	−5.32490	+	9.83084i	−0.476274	+	0.879297i
$126$	8.13873	+	10.4304i	0.725056	+	0.929212i
$127$	−6.64221	+	1.41185i	−0.589401	+	0.125281i	−0.492951	−	0.870057i	$-0.664082\pi$
$127$	−6.64221	+	1.41185i	−0.589401	+	0.125281i	−0.0964495	+	0.995338i	$0.530749\pi$
$128$	−0.809017	+	0.587785i	−0.0715077	+	0.0519534i
$129$	19.1522	−	8.92360i	1.68625	−	0.785679i
$130$	−0.723766	+	4.33399i	−0.0634785	+	0.380116i
$131$	1.43961	−	3.23342i	0.125780	−	0.282505i	−0.839669	−	0.543098i	$-0.817251\pi$
$131$	1.43961	−	3.23342i	0.125780	−	0.282505i	0.965449	+	0.260592i	$0.0839179\pi$
$132$	0.953084	+	2.77074i	0.0829554	+	0.241162i
$133$	11.6998	+	26.2782i	1.01450	+	2.27861i
$134$	1.84011	−	8.65702i	0.158961	−	0.747853i
$135$	7.69380	+	8.70663i	0.662177	+	0.749347i
$136$	−2.33535	−	2.10276i	−0.200255	−	0.180310i
$137$	16.4191	−	14.7839i	1.40278	−	1.26307i	0.480261	−	0.877126i	$-0.340542\pi$
$137$	16.4191	−	14.7839i	1.40278	−	1.26307i	0.922522	−	0.385946i	$-0.126125\pi$
$138$	4.27826	+	3.72135i	0.364189	+	0.316783i
$139$	2.28259	+	0.741659i	0.193607	+	0.0629067i	0.404216	−	0.914664i	$-0.367545\pi$
$139$	2.28259	+	0.741659i	0.193607	+	0.0629067i	−0.210609	+	0.977570i	$0.567545\pi$
$140$	−5.30112	−	8.31493i	−0.448026	−	0.702740i
$141$	11.5575	−	13.2871i	0.973321	−	1.11898i
$142$	0.777714	−	0.700257i	0.0652643	−	0.0587642i
$143$	2.22436	−	2.47040i	0.186010	−	0.206585i
$144$	2.69719	−	1.31345i	0.224766	−	0.109454i
$145$	−2.02357	−	2.54222i	−0.168048	−	0.211120i
$146$	1.36724	−	0.608736i	0.113154	−	0.0503793i
$147$	7.01312	+	20.3880i	0.578433	+	1.68158i
$148$	8.05344	+	3.58562i	0.661989	+	0.294736i
$149$	3.06028	−	1.76685i	0.250708	−	0.144746i	−0.369380	−	0.929278i	$-0.620430\pi$
$149$	3.06028	−	1.76685i	0.250708	−	0.144746i	0.620088	+	0.784532i	$0.287097\pi$
$150$	−5.09291	−	7.00445i	−0.415834	−	0.571911i
$151$	4.69591	+	6.46336i	0.382148	+	0.525981i	0.956152	−	0.292871i	$-0.0946107\pi$
$151$	4.69591	+	6.46336i	0.382148	+	0.525981i	−0.574004	+	0.818852i	$0.694611\pi$
$152$	6.38018	−	1.35615i	0.517501	−	0.109998i
$153$	5.79960	+	7.43261i	0.468870	+	0.600891i
$154$			7.46029i			0.601168i
$155$	1.82886	−	12.3148i	0.146898	−	0.989152i
$156$	−2.78745	−	1.95308i	−0.223174	−	0.156371i
$157$	5.07206	−	1.64801i	0.404795	−	0.131526i	−0.0995410	−	0.995033i	$-0.531737\pi$
$157$	5.07206	−	1.64801i	0.404795	−	0.131526i	0.504336	+	0.863508i	$0.331737\pi$
$158$	2.73755	+	12.8791i	0.217787	+	1.02461i
$159$	0.104999	+	6.12382i	0.00832696	+	0.485651i
$160$	−2.09420	+	0.783790i	−0.165561	+	0.0619641i
$161$	7.21856	+	12.5029i	0.568902	+	0.985367i
$162$	−8.65441	+	2.47004i	−0.679955	+	0.194065i
$163$	−9.34224	+	12.8585i	−0.731741	+	1.00715i	0.267311	+	0.963610i	$0.413865\pi$
$163$	−9.34224	+	12.8585i	−0.731741	+	1.00715i	−0.999051	+	0.0435443i	$0.986135\pi$
$164$	−2.12750	−	4.77845i	−0.166130	−	0.373134i
$165$	0.400155	+	6.53963i	0.0311520	+	0.509109i
$166$	−7.96225	+	0.836866i	−0.617990	+	0.0649534i
$167$	−15.0802	−	13.5783i	−1.16694	−	1.05072i	−0.997878	−	0.0651141i	$-0.979259\pi$
$167$	−15.0802	−	13.5783i	−1.16694	−	1.05072i	−0.169064	−	0.985605i	$-0.554074\pi$
$168$	7.58167	−	0.928535i	0.584939	−	0.0716380i
$169$	0.955238	−	9.08848i	0.0734798	−	0.699114i
$170$	−3.77754	−	5.92516i	−0.289724	−	0.454439i
$171$	−19.5567	+	0.670834i	−1.49554	+	0.0513000i
$172$	1.27513	−	12.1320i	0.0972276	−	0.925059i
$173$	−5.27688	−	5.86057i	−0.401194	−	0.445571i	0.508368	−	0.861140i	$-0.330249\pi$
$173$	−5.27688	−	5.86057i	−0.401194	−	0.445571i	−0.909562	+	0.415569i	$0.863582\pi$
$174$	2.45253	−	0.565414i	0.185926	−	0.0428639i
$175$	−6.46092	−	21.0821i	−0.488400	−	1.59366i
$176$	1.65471	+	0.351720i	0.124729	+	0.0265119i
$177$	0.416707	−	2.14024i	0.0313217	−	0.160871i
$178$	−14.9192	−	10.8394i	−1.11824	−	0.812451i
$179$	−7.88803	−	3.51198i	−0.589579	−	0.262497i	0.0901892	−	0.995925i	$-0.471253\pi$
$179$	−7.88803	−	3.51198i	−0.589579	−	0.262497i	−0.679768	+	0.733427i	$0.737919\pi$
$180$	6.59622	−	1.22061i	0.491653	−	0.0909789i
$181$	−12.2407	−	7.06720i	−0.909847	−	0.525301i	−0.0294653	−	0.999566i	$-0.509380\pi$
$181$	−12.2407	−	7.06720i	−0.909847	−	0.525301i	−0.880382	+	0.474265i	$0.842714\pi$
$182$	−5.09368	−	7.01085i	−0.377569	−	0.519679i
$183$	2.87331	−	6.76327i	0.212401	−	0.499956i
$184$	3.11350	−	1.01164i	0.229531	−	0.0745790i
$185$	15.2147	+	12.5334i	1.11860	+	0.921476i
$186$	7.99644	+	5.39044i	0.586328	+	0.395246i
$187$			5.31615i			0.388755i
$188$	−3.14188	−	9.66972i	−0.229145	−	0.705237i
$189$	−22.8824	−	1.22049i	−1.66445	−	0.0887774i
$190$	14.5583	+	0.885523i	1.05617	+	0.0642426i
$191$	−11.5663	−	6.67783i	−0.836911	−	0.483191i	0.0193020	−	0.999814i	$-0.493856\pi$
$191$	−11.5663	−	6.67783i	−0.836911	−	0.483191i	−0.856213	+	0.516623i	$0.827189\pi$
$192$	0.151491	−	1.72541i	0.0109329	−	0.124521i
$193$	7.21809	−	16.2121i	0.519569	−	1.16697i	−0.443145	−	0.896450i	$-0.646137\pi$
$193$	7.21809	−	16.2121i	0.519569	−	1.16697i	0.962714	−	0.270521i	$-0.0871961\pi$
$194$	−9.03469	+	12.4352i	−0.648653	+	0.892794i
$195$	−4.84112	−	5.87243i	−0.346680	−	0.420533i
$196$	12.1760	+	2.58808i	0.869711	+	0.184863i
$197$	1.12239	−	0.117968i	0.0799672	−	0.00840489i	−0.0644604	−	0.997920i	$-0.520533\pi$
$197$	1.12239	−	0.117968i	0.0799672	−	0.00840489i	0.144428	+	0.989515i	$0.453866\pi$
$198$	−4.70433	−	1.90405i	−0.334322	−	0.135315i
$199$	−11.5536	+	10.4029i	−0.819013	+	0.737443i	−0.967880	−	0.251414i	$-0.919104\pi$
$199$	−11.5536	+	10.4029i	−0.819013	+	0.737443i	0.148866	+	0.988857i	$0.452438\pi$
$200$	−4.98068	+	0.439121i	−0.352187	+	0.0310506i
$201$	9.22167	+	12.2454i	0.650446	+	0.863727i
$202$	−6.17928	−	2.00777i	−0.434773	−	0.141266i
$203$	6.37311	+	0.669840i	0.447304	+	0.0470136i
$204$	5.40264	−	0.661667i	0.378261	−	0.0463259i
$205$	−1.73268	−	11.5671i	−0.121015	−	0.807879i
$206$	−0.295770	+	0.0310867i	−0.0206073	+	0.00216591i
$207$	−9.72646	+	1.36084i	−0.676036	+	0.0945846i
$208$	−1.79517	+	0.799262i	−0.124473	+	0.0554188i
$209$	−8.92699	−	6.48584i	−0.617493	−	0.448635i
$210$	16.8923	+	2.52411i	1.16568	+	0.174180i
$211$	3.03665	+	5.25963i	0.209052	+	0.362088i	0.951416	−	0.307908i	$-0.0996290\pi$
$211$	3.03665	+	5.25963i	0.209052	+	0.362088i	−0.742364	+	0.669996i	$0.766296\pi$
$212$	3.06236	+	1.76805i	0.210324	+	0.121430i
$213$	0.0310746	+	1.81236i	0.00212920	+	0.124181i
$214$	0.228862	−	0.0486462i	0.0156447	−	0.00332538i
$215$	9.98871	−	25.3828i	0.681224	−	1.73109i
$216$	−1.34952	+	5.01785i	−0.0918229	+	0.341421i
$217$	14.7883	+	19.6008i	1.00390	+	1.33059i
$218$	14.7474			0.998818
$219$	−0.758665	+	2.47874i	−0.0512658	+	0.167498i
$220$	3.35590	+	1.74554i	0.226254	+	0.117684i
$221$	−3.62972	−	4.99588i	−0.244161	−	0.336059i
$222$	−13.8405	+	6.44870i	−0.928910	+	0.432809i
$223$	0.353319	+	0.611966i	0.0236600	+	0.0409803i	0.877613	−	0.479370i	$-0.159135\pi$
$223$	0.353319	+	0.611966i	0.0236600	+	0.0409803i	−0.853953	+	0.520350i	$0.825801\pi$
$224$	1.79370	−	4.02872i	0.119847	−	0.269180i
$225$	14.9430	+	1.30654i	0.996199	+	0.0871028i
$226$	−16.3238	+	7.26783i	−1.08584	+	0.483449i
$227$	15.2244	+	3.23605i	1.01048	+	0.214784i	0.683269	−	0.730167i	$-0.260558\pi$
$227$	15.2244	+	3.23605i	1.01048	+	0.214784i	0.327211	+	0.944951i	$0.393891\pi$
$228$	−5.48028	+	9.87948i	−0.362940	+	0.654285i
$229$	11.0705	+	9.96789i	0.731557	+	0.658696i	0.948243	−	0.317545i	$-0.102858\pi$
$229$	11.0705	+	9.96789i	0.731557	+	0.658696i	−0.216687	+	0.976241i	$0.569525\pi$
$230$	7.31321	−	0.321760i	0.482219	−	0.0212162i
$231$	−9.74944	−	8.48035i	−0.641466	−	0.557966i
$232$	0.449037	−	1.38199i	0.0294807	−	0.0907323i
$233$	−6.63279	+	20.4136i	−0.434528	+	1.33734i	0.459041	+	0.888415i	$0.348193\pi$
$233$	−6.63279	+	20.4136i	−0.434528	+	1.33734i	−0.893569	+	0.448925i	$0.851807\pi$
$234$	5.72095	−	1.42264i	0.373990	−	0.0930007i
$235$	−0.999303	−	22.7129i	−0.0651873	−	1.48163i
$236$	−0.935525	−	0.842351i	−0.0608975	−	0.0548324i
$237$	−19.9429	−	11.0626i	−1.29543	−	0.718592i
$238$	13.5556	+	2.88134i	0.878682	+	0.186770i
$239$	19.7462	−	8.79156i	1.27727	−	0.568679i	0.347801	−	0.937569i	$-0.386929\pi$
$239$	19.7462	−	8.79156i	1.27727	−	0.568679i	0.929473	+	0.368890i	$0.120262\pi$
$240$	1.35625	−	3.62775i	0.0875456	−	0.234170i
$241$	3.04510	−	6.83941i	0.196152	−	0.440565i	−0.788513	−	0.615018i	$-0.789149\pi$
$241$	3.04510	−	6.83941i	0.196152	−	0.440565i	0.984666	+	0.174452i	$0.0558155\pi$
$242$	4.06911	+	7.04790i	0.261572	+	0.453056i
$243$	6.60978	−	14.1177i	0.424018	−	0.905654i
$244$	−2.49371	−	3.43230i	−0.159643	−	0.219730i
$245$	24.6938	+	12.8443i	1.57763	+	0.820590i
$246$	8.66308	+	2.65150i	0.552338	+	0.169053i
$247$	12.8175			0.815560
$248$	5.04473	−	2.35600i	0.320341	−	0.149606i
$249$	7.95728	−	11.3567i	0.504272	−	0.719702i
$250$	−10.9952	−	2.02639i	−0.695396	−	0.128160i
$251$	−9.48255	+	2.01558i	−0.598533	+	0.127222i	−0.497208	−	0.867631i	$-0.665641\pi$
$251$	−9.48255	+	2.01558i	−0.598533	+	0.127222i	−0.101325	+	0.994853i	$0.532308\pi$
$252$	−7.40488	+	10.9636i	−0.466463	+	0.690639i
$253$	−4.79615	−	2.76906i	−0.301531	−	0.174089i
$254$	−3.39530	−	5.88083i	−0.213040	−	0.368996i
$255$	12.0373	+	1.79866i	0.753805	+	0.112636i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	−17.6326	+	7.85053i	−1.09989	+	0.489702i	−0.874726	−	0.484619i	$-0.838958\pi$
$257$	−17.6326	+	7.85053i	−1.09989	+	0.489702i	−0.225164	+	0.974321i	$0.572292\pi$
$258$	14.4052	+	15.4573i	0.896828	+	0.962326i
$259$	−38.6637	+	4.06371i	−2.40244	+	0.252507i
$260$	−4.34552	+	0.650934i	−0.269498	+	0.0403692i
$261$	−2.04896	+	3.84780i	−0.126828	+	0.238173i
$262$	3.52003	+	0.369970i	0.217468	+	0.0228568i
$263$	−20.8125	−	6.76238i	−1.28335	−	0.416986i	−0.413592	−	0.910462i	$-0.635726\pi$
$263$	−20.8125	−	6.76238i	−1.28335	−	0.416986i	−0.869759	+	0.493477i	$0.835726\pi$
$264$	−2.34061	+	1.76264i	−0.144055	+	0.108483i
$265$	5.54397	+	5.63780i	0.340563	+	0.346327i
$266$	−21.3766	+	19.2476i	−1.31069	+	1.18015i
$267$	31.1246	−	7.17555i	1.90479	−	0.439137i
$268$	8.80194	−	0.925121i	0.537664	−	0.0565108i
$269$	−13.6964	−	2.91127i	−0.835086	−	0.177503i	−0.229526	−	0.973303i	$-0.573718\pi$
$269$	−13.6964	−	2.91127i	−0.835086	−	0.177503i	−0.605560	+	0.795800i	$0.707051\pi$
$270$	−5.90298	+	10.0077i	−0.359244	+	0.609051i
$271$	12.4836	−	17.1822i	0.758323	−	1.04374i	−0.239028	−	0.971013i	$-0.576829\pi$
$271$	12.4836	−	17.1822i	0.758323	−	1.04374i	0.997352	−	0.0727300i	$-0.0231711\pi$
$272$	1.27818	−	2.87084i	0.0775010	−	0.174070i
$273$	14.9522	+	1.31281i	0.904950	+	0.0794546i
$274$	19.1341	+	11.0471i	1.15593	+	0.667378i
$275$	6.18996	+	5.76447i	0.373269	+	0.347611i
$276$	−2.21716	+	5.21883i	−0.133458	+	0.314136i
$277$	3.00527	+	9.24926i	0.180569	+	0.555734i	0.999844	−	0.0176667i	$-0.00562378\pi$
$277$	3.00527	+	9.24926i	0.180569	+	0.555734i	−0.819275	+	0.573401i	$0.805624\pi$
$278$			2.40006i			0.143946i
$279$	−16.1343	+	4.32262i	−0.965934	+	0.258789i
$280$	6.26983	−	7.61112i	0.374694	−	0.454851i
$281$	−6.94684	+	2.25717i	−0.414414	+	0.134651i	−0.508801	−	0.860884i	$-0.669911\pi$
$281$	−6.94684	+	2.25717i	−0.414414	+	0.134651i	0.0943869	+	0.995536i	$0.469911\pi$
$282$	16.2083	+	6.88593i	0.965190	+	0.410051i
$283$	−10.0242	−	13.7972i	−0.595879	−	0.820157i	0.399444	−	0.916757i	$-0.369203\pi$
$283$	−10.0242	−	13.7972i	−0.595879	−	0.820157i	−0.995323	+	0.0966006i	$0.969203\pi$
$284$	0.906311	+	0.523259i	0.0537796	+	0.0310497i
$285$	−17.7062	+	18.0189i	−1.04882	+	1.06735i
$286$	3.03686	+	1.35210i	0.179573	+	0.0799511i
$287$	18.6617	+	13.5585i	1.10157	+	0.800334i
$288$	2.08264	+	2.15931i	0.122721	+	0.127238i
$289$	−6.96886	−	1.48128i	−0.409933	−	0.0871339i
$290$	1.79248	−	2.71011i	0.105258	−	0.159143i
$291$	−5.98083	−	25.9424i	−0.350603	−	1.52077i
$292$	1.00144	+	1.11222i	0.0586050	+	0.0650875i
$293$	2.51207	−	23.9008i	0.146757	−	1.39630i	−0.634902	−	0.772593i	$-0.718959\pi$
$293$	2.51207	−	23.9008i	0.146757	−	1.39630i	0.781659	−	0.623706i	$-0.214374\pi$
$294$	−17.2230	+	12.9701i	−1.00447	+	0.756433i
$295$	−1.51326	−	2.37358i	−0.0881051	−	0.138195i
$296$	−0.921480	+	8.76730i	−0.0535599	+	0.509589i
$297$	7.83585	−	3.98342i	0.454682	−	0.231142i
$298$	2.62606	+	2.36451i	0.152123	+	0.136973i
$299$	6.39784	−	0.672440i	0.369996	−	0.0388882i
$300$	5.08783	−	7.00814i	0.293746	−	0.404615i
$301$	21.8811	+	49.1458i	1.26121	+	2.83272i
$302$	−4.69591	+	6.46336i	−0.270219	+	0.371925i
$303$	9.64802	−	5.79306i	0.554264	−	0.332803i
$304$	3.26136	+	5.64884i	0.187052	+	0.323983i
$305$	−3.32527	−	8.88475i	−0.190405	−	0.508740i
$306$	−5.27666	+	7.81255i	−0.301647	+	0.446614i
$307$	3.36558	+	15.8338i	0.192084	+	0.903684i	0.963574	+	0.267443i	$0.0861785\pi$
$307$	3.36558	+	15.8338i	0.192084	+	0.903684i	−0.771490	+	0.636242i	$0.780488\pi$
$308$	−7.09516	+	2.30536i	−0.404284	+	0.131360i
$309$	0.295586	−	0.421863i	0.0168153	−	0.0239989i
$310$	12.2773	−	2.06615i	0.697301	−	0.117349i
$311$		−	1.11707i		−	0.0633432i	−0.999498	−	0.0316716i	$-0.989917\pi$
$311$		−	1.11707i		−	0.0633432i	0.999498	−	0.0316716i	$-0.0100831\pi$
$312$	0.996117	−	3.25455i	0.0563940	−	0.184253i
$313$	−5.96543	+	1.26799i	−0.337186	+	0.0716711i	−0.373393	−	0.927673i	$-0.621806\pi$
$313$	−5.96543	+	1.26799i	−0.337186	+	0.0716711i	0.0362072	+	0.999344i	$0.488472\pi$
$314$	3.13471	+	4.31455i	0.176902	+	0.243484i
$315$	−22.5006	+	19.2063i	−1.26776	+	1.08215i
$316$	−11.4028	+	6.58344i	−0.641460	+	0.370347i
$317$	22.9655	+	10.2249i	1.28987	+	0.574288i	0.933004	−	0.359866i	$-0.117178\pi$
$317$	22.9655	+	10.2249i	1.28987	+	0.574288i	0.356868	+	0.934155i	$0.383844\pi$
$318$	−5.79165	+	1.99222i	−0.324780	+	0.111718i
$319$	−2.24568	+	0.999842i	−0.125734	+	0.0559804i
$320$	−1.39257	−	1.74950i	−0.0778471	−	0.0977999i
$321$	−0.196582	+	0.354385i	−0.0109721	+	0.0197798i
$322$	−9.66031	+	10.7289i	−0.538348	+	0.597896i
$323$	−15.2328	+	13.7157i	−0.847578	+	0.763162i
$324$	−5.02351	−	7.46755i	−0.279084	−	0.414864i
$325$	−9.75286	−	1.19086i	−0.540991	−	0.0660569i
$326$	−15.1161	−	4.91151i	−0.837201	−	0.272023i
$327$	−16.7638	+	19.2725i	−0.927040	+	1.06577i
$328$	3.88714	−	3.50000i	0.214631	−	0.193255i
$329$	33.3210	+	30.0024i	1.83705	+	1.65409i
$330$	−6.09590	+	2.40143i	−0.335568	+	0.132194i
$331$	1.17129	−	5.51046i	0.0643797	−	0.302882i	−0.934163	−	0.356846i	$-0.883852\pi$
$331$	1.17129	−	5.51046i	0.0643797	−	0.302882i	0.998543	+	0.0539634i	$0.0171854\pi$
$332$	−3.25638	−	7.31394i	−0.178717	−	0.401405i
$333$	7.30543	−	25.4178i	0.400335	−	1.39288i
$334$	8.25367	−	18.5381i	0.451621	−	1.01436i
$335$	19.5198	+	3.25977i	1.06648	+	0.178100i
$336$	3.22595	+	6.92367i	0.175990	+	0.377717i
$337$	−4.46014	+	3.24048i	−0.242959	+	0.176520i	−0.702601	−	0.711584i	$-0.747978\pi$
$337$	−4.46014	+	3.24048i	−0.242959	+	0.176520i	0.459641	+	0.888105i	$0.347978\pi$
$338$	8.93884	−	1.90001i	0.486209	−	0.103347i
$339$	9.05787	−	29.5942i	0.491956	−	1.60734i
$340$	4.46784	−	5.42363i	0.242302	−	0.294137i
$341$	−8.67229	−	3.67517i	−0.469631	−	0.199021i
$342$	−6.68134	−	18.3922i	−0.361286	−	0.994536i
$343$	−22.8496	+	7.42429i	−1.23376	+	0.400874i
$344$	11.9323	−	2.53628i	0.643345	−	0.136747i
$345$	−7.89267	+	9.92298i	−0.424927	+	0.534235i
$346$	3.94309	−	6.82963i	0.211982	−	0.367163i
$347$	−0.765705	+	0.442080i	−0.0411052	+	0.0237321i	−0.520412	−	0.853915i	$-0.674222\pi$
$347$	−0.765705	+	0.442080i	−0.0411052	+	0.0237321i	0.479307	+	0.877648i	$0.340888\pi$
$348$	1.29562	+	2.15778i	0.0694523	+	0.115669i
$349$	21.5388	+	15.6489i	1.15295	+	0.837664i	0.988870	−	0.148784i	$-0.0475358\pi$
$349$	21.5388	+	15.6489i	1.15295	+	0.837664i	0.164076	+	0.986448i	$0.447536\pi$
$350$	18.0538	−	12.6594i	0.965014	−	0.676675i
$351$	−4.64401	+	9.09354i	−0.247879	+	0.485377i
$352$	0.176829	+	1.68241i	0.00942501	+	0.0896730i
$353$	−15.0507	−	13.5518i	−0.801070	−	0.721287i	0.163089	−	0.986611i	$-0.447854\pi$
$353$	−15.0507	−	13.5518i	−0.801070	−	0.721287i	−0.964159	+	0.265324i	$0.914521\pi$
$354$	2.16426	−	0.265059i	0.115029	−	0.0140877i
$355$	1.64075	+	1.66852i	0.0870818	+	0.0885556i
$356$	5.69863	−	17.5386i	0.302027	−	0.929543i
$357$	−19.1746	+	14.4398i	−1.01483	+	0.764235i
$358$	0.902553	−	8.58722i	0.0477014	−	0.453849i
$359$	0.664672	−	0.598473i	0.0350800	−	0.0315862i	−0.651404	−	0.758731i	$-0.725820\pi$
$359$	0.664672	−	0.598473i	0.0350800	−	0.0315862i	0.686484	+	0.727145i	$0.259153\pi$
$360$	3.19921	+	5.89619i	0.168613	+	0.310756i
$361$	−2.46122	−	23.4169i	−0.129538	−	1.23247i
$362$	2.93871	−	13.8255i	0.154455	−	0.726653i
$363$	−13.8360	−	2.69388i	−0.726201	−	0.141392i
$364$	5.09368	−	7.01085i	0.266981	−	0.367468i
$365$	1.49424	+	2.99446i	0.0782121	+	0.156737i
$366$	7.32016	+	0.642710i	0.382631	+	0.0335950i
$367$	−4.09518	+	7.09306i	−0.213767	+	0.370255i	−0.952890	−	0.303315i	$-0.901907\pi$
$367$	−4.09518	+	7.09306i	−0.213767	+	0.370255i	0.739124	+	0.673570i	$0.235240\pi$
$368$	1.92425	+	2.64850i	0.100309	+	0.138063i
$369$	−13.3127	+	8.30726i	−0.693031	+	0.432459i
$370$	−7.21841	+	18.3431i	−0.375267	+	0.953610i
$371$	−15.5942			−0.809610
$372$	−2.65558	+	9.27081i	−0.137685	+	0.480669i
$373$		−	6.15670i		−	0.318782i	−0.987216	−	0.159391i	$-0.949047\pi$
$373$		−	6.15670i		−	0.318782i	0.987216	−	0.159391i	$-0.0509531\pi$
$374$	−5.05596	+	1.64278i	−0.261437	+	0.0849462i
$375$	15.1467	−	12.0655i	0.782174	−	0.623060i
$376$	8.22556	−	5.97622i	0.424201	−	0.308200i
$377$	1.42773	−	2.47290i	0.0735317	−	0.127361i
$378$	−5.91031	−	22.1396i	−0.303993	−	1.13874i
$379$	15.9138	+	7.08529i	0.817438	+	0.363947i	0.772478	−	0.635042i	$-0.219017\pi$
$379$	15.9138	+	7.08529i	0.817438	+	0.363947i	0.0449602	+	0.998989i	$0.485684\pi$
$380$	3.65659	+	14.1194i	0.187579	+	0.724312i
$381$	11.5449	+	2.24780i	0.591462	+	0.115158i
$382$	2.77680	−	13.0638i	0.142073	−	0.668402i
$383$	−31.5694	+	3.31808i	−1.61312	+	0.169546i	−0.867714	−	0.497064i	$-0.834412\pi$
$383$	−31.5694	+	3.31808i	−1.61312	+	0.169546i	−0.745407	+	0.666610i	$0.767745\pi$
$384$	1.68778	−	0.389105i	0.0861291	−	0.0198564i
$385$	−16.6656	+	0.733239i	−0.849358	+	0.0373693i
$386$	17.6491	+	1.85500i	0.898317	+	0.0944169i
$387$	−36.5751	+	1.25460i	−1.85921	+	0.0637749i
$388$	−14.6184	−	4.74982i	−0.742139	−	0.241135i
$389$	−0.946690	+	9.00715i	−0.0479991	+	0.456681i	0.943954	+	0.330076i	$0.107075\pi$
$389$	−0.946690	+	9.00715i	−0.0479991	+	0.456681i	−0.991953	+	0.126604i	$0.959592\pi$
$390$	4.08902	−	6.41886i	0.207056	−	0.325032i
$391$	−6.88387	+	7.64531i	−0.348132	+	0.386640i
$392$	1.30117	+	12.3798i	0.0657189	+	0.625274i
$393$	−4.48483	+	4.17958i	−0.226230	+	0.210832i
$394$	0.459033	+	1.03100i	0.0231257	+	0.0519413i
$395$	−28.5017	+	7.38126i	−1.43408	+	0.371391i
$396$	0.357146	−	5.06246i	0.0179473	−	0.254398i
$397$	−7.12798	+	4.11534i	−0.357743	+	0.206543i	−0.668090	−	0.744080i	$-0.732888\pi$
$397$	−7.12798	+	4.11534i	−0.357743	+	0.206543i	0.310347	+	0.950623i	$0.399555\pi$
$398$	−13.4640	−	7.77345i	−0.674890	−	0.389648i
$399$	−0.854133	−	49.8153i	−0.0427601	−	2.49388i
$400$	−1.95674	−	4.60121i	−0.0978372	−	0.230061i
$401$	−11.1140	−	34.2053i	−0.555005	−	1.70813i	−0.695930	−	0.718109i	$-0.745008\pi$
$401$	−11.1140	−	34.2053i	−0.555005	−	1.70813i	0.140925	−	0.990020i	$-0.454992\pi$
$402$	−8.79645	+	12.5544i	−0.438727	+	0.626155i
$403$	10.6591	−	2.46744i	0.530969	−	0.122912i
$404$		−	6.49728i		−	0.323252i
$405$	−6.36845	−	19.0904i	−0.316451	−	0.948609i
$406$	1.33234	+	6.26818i	0.0661230	+	0.311084i
$407$	12.0650	−	8.76574i	0.598040	−	0.434502i
$408$	2.29879	+	4.93375i	0.113807	+	0.244257i
$409$	−2.40609	+	1.38916i	−0.118973	+	0.0686893i	−0.558306	−	0.829635i	$-0.688548\pi$
$409$	−2.40609	+	1.38916i	−0.118973	+	0.0686893i	0.439332	+	0.898325i	$0.355215\pi$
$410$	10.4655	−	5.22229i	0.516854	−	0.257911i
$411$	−36.1871	+	12.4477i	−1.78498	+	0.614001i
$412$	−0.120963	−	0.271688i	−0.00595943	−	0.0133851i
$413$	5.43030	+	1.15425i	0.267207	+	0.0567967i
$414$	−4.29987	−	8.82989i	−0.211327	−	0.433965i
$415$	−2.65205	−	17.7047i	−0.130184	−	0.869088i
$416$	−1.31488	−	1.46032i	−0.0644674	−	0.0715983i
$417$	−3.13650	−	2.72822i	−0.153595	−	0.133602i
$418$	3.40981	−	10.4943i	0.166779	−	0.513293i
$419$	20.8880	+	6.78694i	1.02045	+	0.331564i	0.771007	−	0.636826i	$-0.219753\pi$
$419$	20.8880	+	6.78694i	1.02045	+	0.331564i	0.249441	+	0.968390i	$0.419753\pi$
$420$	2.81943	+	16.8455i	0.137574	+	0.821976i
$421$	5.57986	+	6.19706i	0.271946	+	0.302026i	0.863612	−	0.504156i	$-0.168197\pi$
$421$	5.57986	+	6.19706i	0.271946	+	0.302026i	−0.591667	+	0.806183i	$0.701530\pi$
$422$	−4.06383	+	4.51334i	−0.197824	+	0.219706i
$423$	−27.4233	+	13.3543i	−1.33337	+	0.649307i
$424$	−0.735198	+	3.45884i	−0.0357044	+	0.167976i
$425$	12.8650	−	9.02102i	0.624043	−	0.437584i
$426$	−1.71405	+	0.589602i	−0.0830460	+	0.0285663i
$427$	17.0921	+	7.60988i	0.827143	+	0.368268i
$428$	0.116988	+	0.202628i	0.00565481	+	0.00979441i
$429$	−5.21907	+	2.43173i	−0.251979	+	0.117405i
$430$	27.2271	+	1.65611i	1.31301	+	0.0798649i
$431$	2.29112	+	10.7789i	0.110360	+	0.519201i	0.998249	+	0.0591449i	$0.0188374\pi$
$431$	2.29112	+	10.7789i	0.110360	+	0.519201i	−0.887890	+	0.460056i	$0.847829\pi$
$432$	−5.18928	+	0.267136i	−0.249669	+	0.0128526i
$433$	−5.43629			−0.261251			−0.130626	−	0.991432i	$-0.541699\pi$
$433$	−5.43629			−0.261251			−0.130626	+	0.991432i	$0.541699\pi$
$434$	−14.0717	+	20.1215i	−0.675461	+	0.965864i
$435$	1.50413	+	5.42316i	0.0721175	+	0.260021i
$436$	4.55719	+	14.0256i	0.218250	+	0.671703i
$437$	−4.43967	−	20.8870i	−0.212378	−	0.999161i
$438$	−2.59186	+	0.0444401i	−0.123844	+	0.00212343i
$439$	−3.70280	+	6.41344i	−0.176725	+	0.306097i	−0.940757	−	0.339082i	$-0.889884\pi$
$439$	−3.70280	+	6.41344i	−0.176725	+	0.306097i	0.764032	+	0.645179i	$0.223217\pi$
$440$	−0.623076	+	3.73105i	−0.0297040	+	0.177871i
$441$	2.62800	−	37.2513i	0.125143	−	1.77387i
$442$	3.62972	−	4.99588i	0.172648	−	0.237630i
$443$	−17.7094	+	7.88475i	−0.841401	+	0.374616i	−0.781741	−	0.623603i	$-0.785668\pi$
$443$	−17.7094	+	7.88475i	−0.841401	+	0.374616i	−0.0596594	+	0.998219i	$0.519001\pi$
$444$	−10.4100	−	11.1703i	−0.494037	−	0.530119i
$445$	22.7480	−	34.3935i	1.07836	−	1.63041i
$446$	−0.472833	+	0.525134i	−0.0223893	+	0.0248658i
$447$	−6.07517	+	0.744032i	−0.287346	+	0.0351915i
$448$	4.38583	+	0.460969i	0.207211	+	0.0217787i
$449$	−1.99736	+	6.14723i	−0.0942611	+	0.290106i	−0.987060	−	0.160349i	$-0.948738\pi$
$449$	−1.99736	+	6.14723i	−0.0942611	+	0.290106i	0.892799	+	0.450455i	$0.148738\pi$
$450$	3.37504	+	14.6154i	0.159101	+	0.688975i
$451$	−8.80014	−	0.924932i	−0.414382	−	0.0435533i
$452$	−11.9564	−	13.2790i	−0.562384	−	0.624591i
$453$	−3.10862	−	13.4839i	−0.146056	−	0.633530i
$454$	1.62694	+	15.4793i	0.0763559	+	0.726478i
$455$	15.1609	−	12.0679i	0.710756	−	0.565750i
$456$	−11.0894	−	2.15913i	−0.519311	−	0.101110i
$457$	−13.4342	−	9.76054i	−0.628427	−	0.456579i	0.227428	−	0.973795i	$-0.426968\pi$
$457$	−13.4342	−	9.76054i	−0.628427	−	0.456579i	−0.855855	+	0.517216i	$0.826968\pi$
$458$	−6.05906	+	13.6089i	−0.283121	+	0.635901i
$459$	−4.21164	−	15.7765i	−0.196583	−	0.736386i
$460$	2.56592	+	6.85585i	0.119637	+	0.319656i
$461$	26.4338	−	19.2052i	1.23114	−	0.894478i	0.234167	−	0.972196i	$-0.424764\pi$
$461$	26.4338	−	19.2052i	1.23114	−	0.894478i	0.996975	+	0.0777187i	$0.0247636\pi$
$462$	5.05255	−	11.8928i	0.235066	−	0.553305i
$463$	−9.80463	−	30.1755i	−0.455660	−	1.40238i	−0.870359	−	0.492418i	$-0.836113\pi$
$463$	−9.80463	−	30.1755i	−0.455660	−	1.40238i	0.414699	−	0.909959i	$-0.363887\pi$
$464$	1.45311			0.0674591
$465$	−11.2558	+	18.3931i	−0.521976	+	0.852960i
$466$	−21.4641			−0.994307
$467$	0.410365	+	1.26297i	0.0189894	+	0.0584435i	0.960102	−	0.279649i	$-0.0902182\pi$
$467$	0.410365	+	1.26297i	0.0189894	+	0.0584435i	−0.941113	+	0.338093i	$0.890218\pi$
$468$	3.12088	+	5.00132i	0.144263	+	0.231186i
$469$	−31.5761	+	22.9414i	−1.45805	+	1.05934i
$470$	21.2925	−	7.96907i	0.982148	−	0.367586i
$471$	−9.20177	−	0.807916i	−0.423995	−	0.0372268i
$472$	0.512030	−	1.15004i	0.0235681	−	0.0529348i
$473$	−16.6953	−	12.1299i	−0.767653	−	0.557732i
$474$	4.35845	−	22.3853i	0.200190	−	1.02819i
$475$	−0.547303	+	32.6090i	−0.0251120	+	1.49620i
$476$	1.44861	+	13.7826i	0.0663968	+	0.631723i
$477$	3.98003	−	9.83341i	0.182233	−	0.450241i
$478$	14.4632	+	16.0630i	0.661530	+	0.734704i
$479$	31.7522	+	3.33729i	1.45080	+	0.152485i	0.796906	−	0.604104i	$-0.206469\pi$
$479$	31.7522	+	3.33729i	1.45080	+	0.152485i	0.653891	+	0.756589i	$0.273135\pi$
$480$	3.86930	+	0.168834i	0.176609	+	0.00770620i
$481$	−5.35315	+	16.4753i	−0.244083	+	0.751209i
$482$	7.44566	+	0.782570i	0.339140	+	0.0356451i
$483$	−3.03977	−	24.8204i	−0.138314	−	1.12937i
$484$	−5.44553	+	6.04787i	−0.247524	+	0.274903i
$485$	−28.6670	−	18.9605i	−1.30170	−	0.860950i
$486$	15.4693	+	1.92366i	0.701702	+	0.0872588i
$487$	−14.9635	+	6.66218i	−0.678061	+	0.301892i	−0.716721	−	0.697360i	$-0.754358\pi$
$487$	−14.9635	+	6.66218i	−0.678061	+	0.301892i	0.0386596	+	0.999252i	$0.487691\pi$
$488$	2.49371	−	3.43230i	0.112885	−	0.155373i
$489$	23.6015	−	14.1713i	1.06730	−	0.640847i
$490$	−4.58481	+	27.4543i	−0.207121	+	1.24026i
$491$	−2.18407	+	3.78292i	−0.0985658	+	0.170721i	−0.911091	−	0.412205i	$-0.864759\pi$
$491$	−2.18407	+	3.78292i	−0.0985658	+	0.170721i	0.812525	+	0.582926i	$0.198092\pi$
$492$	0.155316	+	9.05844i	0.00700218	+	0.408386i
$493$	0.949417	+	4.46666i	0.0427596	+	0.201168i
$494$	3.96084	+	12.1902i	0.178206	+	0.548463i
$495$	3.79111	−	10.6962i	0.170398	−	0.480757i
$496$	3.79959	+	4.06978i	0.170607	+	0.182738i
$497$	−4.61513			−0.207017
$498$	13.2598	+	4.05841i	0.594186	+	0.181862i
$499$	−1.57222	−	7.39669i	−0.0703820	−	0.331122i	0.928843	−	0.370473i	$-0.120804\pi$
$499$	−1.57222	−	7.39669i	−0.0703820	−	0.331122i	−0.999225	+	0.0393511i	$0.987471\pi$
$500$	−1.47048	−	11.0832i	−0.0657621	−	0.495656i
$501$	14.8441	+	31.8591i	0.663187	+	1.42336i
$502$	−4.84720	−	8.39559i	−0.216341	−	0.374714i
$503$	−17.5454	−	7.81174i	−0.782313	−	0.348308i	−0.0235900	−	0.999722i	$-0.507510\pi$
$503$	−17.5454	−	7.81174i	−0.782313	−	0.348308i	−0.758723	+	0.651414i	$0.774176\pi$
$504$	−12.7152	−	3.65453i	−0.566380	−	0.162786i
$505$	3.87784	−	14.0013i	0.172561	−	0.623048i
$506$	1.15144	−	5.41709i	0.0511877	−	0.240819i
$507$	−7.67805	+	13.8415i	−0.340994	+	0.614722i
$508$	4.54380	−	5.04640i	0.201598	−	0.223898i
$509$	−7.10652	−	7.89259i	−0.314991	−	0.349833i	0.564771	−	0.825248i	$-0.308965\pi$
$509$	−7.10652	−	7.89259i	−0.314991	−	0.349833i	−0.879762	+	0.475415i	$0.842298\pi$
$510$	2.00910	+	12.0040i	0.0889646	+	0.531545i
$511$	−6.27710	−	2.03955i	−0.277683	−	0.0902245i
$512$	0.309017	−	0.951057i	0.0136568	−	0.0420312i
$513$	31.6306	+	12.1755i	1.39653	+	0.537562i
$514$	−12.9151	−	14.3436i	−0.569659	−	0.632670i
$515$	−0.0985147	−	0.657667i	−0.00434107	−	0.0289803i
$516$	−10.2493	+	18.4767i	−0.451199	+	0.813392i
$517$	−16.8241	−	3.57606i	−0.739921	−	0.157275i
$518$	−15.8125	−	35.5156i	−0.694764	−	1.56046i
$519$	4.44303	+	12.9165i	0.195027	+	0.566970i
$520$	−1.96192	−	3.93169i	−0.0860357	−	0.172416i
$521$	−12.4218	+	7.17174i	−0.544210	+	0.314200i	−0.746783	−	0.665067i	$-0.768403\pi$
$521$	−12.4218	+	7.17174i	−0.544210	+	0.314200i	0.202574	+	0.979267i	$0.435069\pi$
$522$	−4.29264	−	0.759644i	−0.187884	−	0.0332487i
$523$	24.1017	−	17.5109i	1.05389	−	0.765698i	0.0809442	−	0.996719i	$-0.474206\pi$
$523$	24.1017	−	17.5109i	1.05389	−	0.765698i	0.972949	+	0.231020i	$0.0742064\pi$
$524$	0.735887	+	3.46208i	0.0321474	+	0.151242i
$525$	−3.97836	+	37.9838i	−0.173630	+	1.65775i
$526$		−	21.8835i		−	0.954166i
$527$	−10.0274	+	14.3384i	−0.436799	+	0.624593i
$528$	−2.39966	−	1.68137i	−0.104432	−	0.0731721i
$529$	3.79556	+	11.6815i	0.165024	+	0.507892i
$530$	−3.64868	+	7.01480i	−0.158489	+	0.304704i
$531$	−2.11379	+	3.12965i	−0.0917308	+	0.135815i
$532$	−24.9113	−	14.3826i	−1.08004	−	0.623563i
$533$	8.90149	−	5.13928i	0.385566	−	0.222607i
$534$	16.4424	+	27.3839i	0.711532	+	1.18502i
$535$	0.131165	+	0.506476i	0.00567075	+	0.0218969i
$536$	3.59979	+	8.08526i	0.155487	+	0.349230i
$537$	10.1962	+	10.9409i	0.439998	+	0.472133i
$538$	−1.46365	−	13.9257i	−0.0631025	−	0.600380i
$539$	14.0906	−	15.6492i	0.606924	−	0.674057i
$540$	−11.3420	−	2.52151i	−0.488084	−	0.108508i
$541$	−1.42927	+	13.5986i	−0.0614491	+	0.584649i	0.919865	+	0.392236i	$0.128298\pi$
$541$	−1.42927	+	13.5986i	−0.0614491	+	0.584649i	−0.981314	+	0.192414i	$0.938368\pi$
$542$	20.1989	+	6.56301i	0.867615	+	0.281905i
$543$	14.7273	+	19.5563i	0.632008	+	0.839243i
$544$	3.12531	+	0.328483i	0.133997	+	0.0140836i
$545$	1.44945	+	32.9442i	0.0620877	+	1.41118i
$546$	3.37194	+	14.6261i	0.144306	+	0.625939i
$547$	33.3017	−	3.50015i	1.42388	−	0.149656i	0.638953	−	0.769246i	$-0.279368\pi$
$547$	33.3017	−	3.50015i	1.42388	−	0.149656i	0.784925	+	0.619590i	$0.212701\pi$
$548$	−4.59363	+	21.6113i	−0.196230	+	0.923191i
$549$	−9.16097	+	8.83572i	−0.390981	+	0.377099i
$550$	−3.56953	+	7.66832i	−0.152205	+	0.326978i
$551$	−8.65881	−	3.85515i	−0.368878	−	0.164235i
$552$	−5.64854	−	0.495942i	−0.240418	−	0.0211087i
$553$	29.0329	−	50.2864i	1.23460	−	2.13839i
$554$	−7.86789	+	5.71636i	−0.334275	+	0.242865i
$555$	−15.7661	−	30.2845i	−0.669234	−	1.28550i
$556$	−2.28259	+	0.741659i	−0.0968034	+	0.0314533i
$557$			0.337857i			0.0143154i	0.999974	+	0.00715772i	$0.00227839\pi$
$557$			0.337857i			0.0143154i	−0.999974	+	0.00715772i	$0.997722\pi$
$558$	−9.09682	−	14.0088i	−0.385099	−	0.593042i
$559$	23.9715			1.01389
$560$	9.17609	+	3.61100i	0.387760	+	0.152593i
$561$	3.60041	−	8.47475i	0.152009	−	0.357804i
$562$	−4.29338	−	5.90933i	−0.181105	−	0.249270i
$563$	−22.1954	+	38.4436i	−0.935426	+	1.62021i	−0.161555	+	0.986864i	$0.551651\pi$
$563$	−22.1954	+	38.4436i	−0.935426	+	1.62021i	−0.773872	+	0.633342i	$0.781683\pi$
$564$	−1.54026	+	17.5429i	−0.0648568	+	0.738688i
$565$	−17.8400	−	35.7515i	−0.750536	−	1.50408i
$566$	10.0242	−	13.7972i	0.421350	−	0.579938i
$567$	35.6515	+	17.4430i	1.49722	+	0.732536i
$568$	−0.217583	+	1.02365i	−0.00912959	+	0.0429513i
$569$	−1.05164	−	10.0057i	−0.0440872	−	0.419462i	−0.994199	−	0.107553i	$-0.965698\pi$
$569$	−1.05164	−	10.0057i	−0.0440872	−	0.419462i	0.950112	−	0.311909i	$-0.100968\pi$
$570$	−22.6085	−	11.2714i	−0.946965	−	0.472108i
$571$	0.143082	−	0.128832i	0.00598779	−	0.00539143i	−0.666131	−	0.745835i	$-0.732051\pi$
$571$	0.143082	−	0.128832i	0.00598779	−	0.00539143i	0.672119	+	0.740443i	$0.265384\pi$
$572$	−0.347479	+	3.30604i	−0.0145288	+	0.138233i
$573$	13.9159	+	18.4789i	0.581344	+	0.771966i
$574$	−7.12814	+	21.9382i	−0.297523	+	0.915681i
$575$	1.43757	+	16.3054i	0.0599506	+	0.679983i
$576$	−1.41005	+	2.64797i	−0.0587521	+	0.110332i
$577$	−19.4390	−	17.5029i	−0.809256	−	0.728657i	0.156621	−	0.987659i	$-0.449940\pi$
$577$	−19.4390	−	17.5029i	−0.809256	−	0.728657i	−0.965877	+	0.259002i	$0.916606\pi$
$578$	−0.744718	−	7.08552i	−0.0309762	−	0.294719i
$579$	−22.4865	+	20.9560i	−0.934507	+	0.870902i
$580$	3.13138	+	0.867276i	0.130023	+	0.0360117i
$581$	28.5638	+	20.7528i	1.18503	+	0.860972i
$582$	22.8245	−	13.7048i	0.946106	−	0.568080i
$583$	5.18054	−	2.99099i	0.214556	−	0.123874i
$584$	−0.748317	+	1.29612i	−0.0309656	+	0.0536339i
$585$	3.74033	+	12.6402i	0.154643	+	0.522609i
$586$	23.5073	−	4.99663i	0.971077	−	0.206409i
$587$	16.6897	−	5.42280i	0.688856	−	0.223823i	0.0563875	−	0.998409i	$-0.482042\pi$
$587$	16.6897	−	5.42280i	0.688856	−	0.223823i	0.632469	+	0.774586i	$0.282042\pi$
$588$	−17.6575	−	12.3721i	−0.728184	−	0.510215i
$589$	−11.8438	−	34.3314i	−0.488015	−	1.41460i
$590$	1.78978	−	2.17267i	0.0736843	−	0.0894473i
$591$	−1.86916	−	0.572091i	−0.0768869	−	0.0235327i
$592$	−8.62295	+	1.83286i	−0.354401	+	0.0753303i
$593$	12.9089	−	9.37884i	0.530103	−	0.385143i	−0.290293	−	0.956938i	$-0.593753\pi$
$593$	12.9089	−	9.37884i	0.530103	−	0.385143i	0.820396	+	0.571795i	$0.193753\pi$
$594$	6.20987	+	6.22140i	0.254794	+	0.255267i
$595$	−5.10433	+	30.5652i	−0.209257	+	1.25305i
$596$	−1.43729	+	3.22820i	−0.0588736	+	0.132232i
$597$	25.4637	−	8.75904i	1.04216	−	0.358484i
$598$	2.61657	+	5.87691i	0.106999	+	0.240325i
$599$	−3.76941	+	17.7337i	−0.154014	+	0.724578i	0.831574	+	0.555414i	$0.187440\pi$
$599$	−3.76941	+	17.7337i	−0.154014	+	0.724578i	−0.985588	+	0.169164i	$0.945893\pi$
$600$	8.23736	+	2.67318i	0.336289	+	0.109132i
$601$	−1.70702	−	1.53701i	−0.0696309	−	0.0626959i	0.633580	−	0.773677i	$-0.281585\pi$
$601$	−1.70702	−	1.53701i	−0.0696309	−	0.0626959i	−0.703211	+	0.710981i	$0.748251\pi$
$602$	−39.9788	+	35.9971i	−1.62941	+	1.46713i
$603$	−6.40741	−	25.7665i	−0.260930	−	1.04929i
$604$	−7.59814	−	2.46879i	−0.309164	−	0.100453i
$605$	−15.3444	+	9.78271i	−0.623839	+	0.397724i
$606$	8.49093	+	7.38566i	0.344920	+	0.300022i
$607$	12.0427	−	10.8433i	0.488800	−	0.440117i	−0.387510	−	0.921866i	$-0.626665\pi$
$607$	12.0427	−	10.8433i	0.488800	−	0.440117i	0.876310	+	0.481748i	$0.159998\pi$
$608$	−4.36455	+	4.84733i	−0.177006	+	0.196585i
$609$	−9.70604	−	5.38407i	−0.393309	−	0.218173i
$610$	7.42234	−	5.90806i	0.300522	−	0.239210i
$611$	18.2521	−	8.12637i	0.738402	−	0.328758i
$612$	−9.06076	−	2.60419i	−0.366259	−	0.105268i
$613$	−7.54086	−	3.35741i	−0.304572	−	0.135604i	0.248759	−	0.968565i	$-0.419977\pi$
$613$	−7.54086	−	3.35741i	−0.304572	−	0.135604i	−0.553332	+	0.832961i	$0.686644\pi$
$614$	−14.0188	+	8.09378i	−0.565754	+	0.326638i
$615$	−5.07174	+	19.6131i	−0.204512	+	0.790877i
$616$	−4.38505	−	6.03550i	−0.176679	−	0.243177i
$617$	12.7855	−	2.71765i	0.514726	−	0.109408i	0.0567770	−	0.998387i	$-0.481918\pi$
$617$	12.7855	−	2.71765i	0.514726	−	0.109408i	0.457949	+	0.888979i	$0.348584\pi$
$618$	0.492556	+	0.150756i	0.0198135	+	0.00606429i
$619$		−	16.9871i		−	0.682770i	−0.939924	−	0.341385i	$-0.889104\pi$
$619$		−	16.9871i		−	0.682770i	0.939924	−	0.341385i	$-0.110896\pi$
$620$	5.75890	+	11.0379i	0.231283	+	0.443292i
$621$	16.4271	+	4.41795i	0.659197	+	0.177286i
$622$	1.06240	−	0.345194i	0.0425982	−	0.0138410i
$623$	16.9085	+	79.5481i	0.677424	+	3.18703i
$624$	3.40308	−	0.0583492i	0.136232	−	0.00233584i
$625$	3.44610	−	24.7613i	0.137844	−	0.990454i
$626$	−3.04935	−	5.28163i	−0.121876	−	0.211096i
$627$	9.83839	+	16.3853i	0.392907	+	0.654366i
$628$	−3.13471	+	4.31455i	−0.125088	+	0.172169i
$629$	−11.2679	−	25.3081i	−0.449281	−	1.00910i
$630$	−25.2194	−	15.4642i	−1.00476	−	0.616110i
$631$	1.19111	−	0.125191i	0.0474175	−	0.00498378i	−0.0807900	−	0.996731i	$-0.525744\pi$
$631$	1.19111	−	0.125191i	0.0474175	−	0.00498378i	0.128208	+	0.991747i	$0.459078\pi$
$632$	−9.78489	−	8.81036i	−0.389222	−	0.350457i
$633$	−1.27875	−	10.4413i	−0.0508257	−	0.415002i
$634$	−2.62773	+	25.0012i	−0.104360	+	0.992924i
$635$	12.8035	−	8.16279i	0.508092	−	0.323930i
$636$	−3.68444	−	4.89256i	−0.146097	−	0.194003i
$637$	−2.55687	+	24.3270i	−0.101307	+	0.963871i
$638$	−1.64486	−	1.82680i	−0.0651207	−	0.0723238i
$639$	1.17790	−	2.91021i	0.0465968	−	0.115126i
$640$	1.23354	−	1.86504i	0.0487601	−	0.0737222i
$641$	−27.5401	−	5.85384i	−1.08777	−	0.231213i	−0.371078	−	0.928602i	$-0.621012\pi$
$641$	−27.5401	−	5.85384i	−1.08777	−	0.231213i	−0.716693	+	0.697389i	$0.754345\pi$
$642$	−0.397787	−	0.0774496i	−0.0156994	−	0.00305669i
$643$	−15.0695	−	10.9486i	−0.594283	−	0.431772i	0.249562	−	0.968359i	$-0.419713\pi$
$643$	−15.0695	−	10.9486i	−0.594283	−	0.431772i	−0.843845	+	0.536587i	$0.819713\pi$
$644$	−13.1890	−	5.87210i	−0.519718	−	0.231393i
$645$	−33.1142	+	33.6991i	−1.30387	+	1.32690i
$646$	−17.7516	−	10.2489i	−0.698428	−	0.403238i
$647$	−19.7922	−	27.2416i	−0.778112	−	1.07098i	−0.995488	−	0.0948914i	$-0.969750\pi$
$647$	−19.7922	−	27.2416i	−0.778112	−	1.07098i	0.217375	−	0.976088i	$-0.430250\pi$
$648$	5.54971	−	7.08524i	0.218013	−	0.278335i
$649$	−2.02538	+	0.658087i	−0.0795032	+	0.0258322i
$650$	−1.88123	−	9.64352i	−0.0737878	−	0.378250i
$651$	−10.3000	−	41.2622i	−0.403688	−	1.61719i
$652$		−	15.8940i		−	0.622456i
$653$	9.22064	+	28.3782i	0.360832	+	1.11053i	0.952550	+	0.304381i	$0.0984496\pi$
$653$	9.22064	+	28.3782i	0.360832	+	1.11053i	−0.591719	+	0.806144i	$0.701550\pi$
$654$	−23.5095	−	9.98778i	−0.919296	−	0.390553i
$655$	−0.480511	+	7.89979i	−0.0187751	+	0.308670i
$656$	4.52988	+	2.61533i	0.176862	+	0.102111i
$657$	2.88818	−	3.43768i	0.112679	−	0.134117i
$658$	−18.2372	+	40.9614i	−0.710960	+	1.59684i
$659$	−10.6160	+	14.6116i	−0.413539	+	0.569188i	−0.964077	−	0.265622i	$-0.914423\pi$
$659$	−10.6160	+	14.6116i	−0.413539	+	0.569188i	0.550538	+	0.834810i	$0.314423\pi$
$660$	−4.16763	−	5.05546i	−0.162225	−	0.196784i
$661$	38.5114	+	8.18584i	1.49792	+	0.318392i	0.882690	−	0.469956i	$-0.155730\pi$
$661$	38.5114	+	8.18584i	1.49792	+	0.318392i	0.615229	+	0.788349i	$0.289064\pi$
$662$	5.60271	−	0.588869i	0.217755	−	0.0228870i
$663$	2.40282	+	10.4224i	0.0933178	+	0.404774i
$664$	5.94969	−	5.35713i	0.230893	−	0.207897i
$665$	−45.0984	−	45.8617i	−1.74884	−	1.77844i
$666$	26.4312	−	0.906646i	1.02419	−	0.0351318i
$667$	−4.52427	−	1.47003i	−0.175181	−	0.0569196i
$668$	20.1813	+	2.12114i	0.780837	+	0.0820692i
$669$	−0.148784	−	1.21485i	−0.00575234	−	0.0469690i
$670$	2.93174	+	19.5718i	0.113263	+	0.756124i
$671$	−7.13773	+	0.750206i	−0.275549	+	0.0289614i
$672$	−5.58792	+	5.20760i	−0.215559	+	0.200887i
$673$	−10.9223	+	4.86294i	−0.421026	+	0.187453i	−0.606303	−	0.795234i	$-0.707348\pi$
$673$	−10.9223	+	4.86294i	−0.421026	+	0.187453i	0.185278	+	0.982686i	$0.440682\pi$
$674$	−4.46014	−	3.24048i	−0.171798	−	0.124819i
$675$	−22.9365	−	12.2031i	−0.882827	−	0.469697i
$676$	4.56927	+	7.91421i	0.175741	+	0.304393i
$677$	−41.6892	−	24.0693i	−1.60225	−	0.925057i	−0.991037	−	0.133588i	$-0.957350\pi$
$677$	−41.6892	−	24.0693i	−1.60225	−	0.925057i	−0.611209	−	0.791469i	$-0.709316\pi$
$678$	30.9448	−	0.530580i	1.18843	−	0.0203768i
$679$	66.3035	−	14.0932i	2.54449	−	0.540849i
$680$	6.53881	+	2.57317i	0.250752	+	0.0986767i
$681$	−22.0784	−	15.4696i	−0.846045	−	0.592797i
$682$	0.815408	−	9.38352i	0.0312236	−	0.359314i
$683$	−12.6027			−0.482229			−0.241114	−	0.970497i	$-0.577513\pi$
$683$	−12.6027			−0.482229			−0.241114	+	0.970497i	$0.577513\pi$
$684$	15.4274	−	12.0378i	0.589880	−	0.460278i
$685$	−22.7975	+	43.8295i	−0.871049	+	1.67464i
$686$	−14.1218	−	19.4370i	−0.539174	−	0.742110i
$687$	−10.8972	−	23.3879i	−0.415752	−	0.892304i
$688$	6.09943	+	10.5645i	0.232538	+	0.402768i
$689$	−2.82628	+	6.34792i	−0.107673	+	0.241836i
$690$	−11.8763	−	4.44000i	−0.452123	−	0.169028i
$691$	1.55854	−	0.693906i	0.0592896	−	0.0263974i	−0.376878	−	0.926263i	$-0.623002\pi$
$691$	1.55854	−	0.693906i	0.0592896	−	0.0263974i	0.436167	+	0.899866i	$0.356336\pi$
$692$	7.71385	+	1.63963i	0.293237	+	0.0623293i
$693$	9.79870	+	20.1219i	0.372222	+	0.764366i
$694$	−0.657059	−	0.591618i	−0.0249416	−	0.0224575i
$695$	−5.36151	+	0.235891i	−0.203374	+	0.00894785i
$696$	−1.65180	+	1.89899i	−0.0626113	+	0.0719811i
$697$	−5.07946	+	15.6330i	−0.192398	+	0.592141i
$698$	−8.22709	+	25.3204i	−0.311400	+	0.958391i
$699$	24.3990	−	28.0503i	0.922854	−	1.06096i
$700$	17.6188	+	13.2582i	0.665926	+	0.501111i
$701$	32.9268	+	29.6474i	1.24363	+	1.11977i	0.988237	+	0.152931i	$0.0488713\pi$
$701$	32.9268	+	29.6474i	1.24363	+	1.11977i	0.255392	+	0.966838i	$0.417795\pi$
$702$	−10.0836	−	1.60666i	−0.380579	−	0.0606395i
$703$	56.2451	+	11.9553i	2.12132	+	0.450901i
$704$	−1.54543	+	0.688069i	−0.0582455	+	0.0259326i
$705$	−13.7895	+	36.8846i	−0.519342	+	1.38916i
$706$	8.23755	−	18.5018i	0.310024	−	0.696326i
$707$	14.3265	+	24.8141i	0.538802	+	0.933232i
$708$	0.920880	+	1.97643i	0.0346088	+	0.0742787i
$709$	−5.28232	−	7.27050i	−0.198382	−	0.273049i	0.698223	−	0.715880i	$-0.253974\pi$
$709$	−5.28232	−	7.27050i	−0.198382	−	0.273049i	−0.896605	+	0.442831i	$0.853974\pi$
$710$	−1.07983	+	2.07604i	−0.0405255	+	0.0779125i
$711$	24.2998	+	31.1419i	0.911312	+	1.16791i
$712$	18.4412			0.691112
$713$	−7.71290	−	16.5151i	−0.288851	−	0.618495i
$714$	−19.6583	−	13.7740i	−0.735695	−	0.515478i
$715$	−2.72198	+	6.91695i	−0.101796	+	0.258679i
$716$	8.44583	−	1.79522i	0.315636	−	0.0670904i
$717$	−37.4326	+	0.641819i	−1.39794	+	0.0239692i
$718$	0.774577	+	0.447202i	0.0289070	+	0.0166894i
$719$	18.2928	+	31.6841i	0.682208	+	1.18162i	0.974306	+	0.225230i	$0.0723135\pi$
$719$	18.2928	+	31.6841i	0.682208	+	1.18162i	−0.292098	+	0.956389i	$0.594353\pi$
$720$	−4.61900	+	4.86465i	−0.172140	+	0.181295i
$721$	1.06105	+	0.770896i	0.0395155	+	0.0287097i
$722$	21.5102	−	9.57697i	0.800528	−	0.356418i
$723$	−9.48641	+	8.84074i	−0.352803	+	0.328791i
$724$	14.0570	−	1.47745i	0.522423	−	0.0549089i
$725$	6.23032	+	3.73786i	0.231388	+	0.138821i
$726$	−1.71352	−	13.9913i	−0.0635948	−	0.519264i
$727$	20.1439	+	2.11721i	0.747095	+	0.0785229i	0.470423	−	0.882441i	$-0.344102\pi$
$727$	20.1439	+	2.11721i	0.747095	+	0.0785229i	0.276673	+	0.960964i	$0.410768\pi$
$728$	8.24174	+	2.67791i	0.305459	+	0.0992498i
$729$	−20.0984	+	18.0293i	−0.744384	+	0.667752i
$730$	−2.38616	+	2.34645i	−0.0883157	+	0.0868459i
$731$	−28.4886	+	25.6513i	−1.05369	+	0.948746i
$732$	1.65080	+	7.16049i	0.0610153	+	0.264659i
$733$	52.1153	−	5.47754i	1.92492	−	0.202318i	0.936135	−	0.351640i	$-0.114376\pi$
$733$	52.1153	−	5.47754i	1.92492	−	0.202318i	0.988789	+	0.149323i	$0.0477093\pi$
$734$	−8.01138	−	1.70287i	−0.295705	−	0.0628541i
$735$	−30.6668	−	37.1998i	−1.13116	−	1.37214i
$736$	−1.92425	+	2.64850i	−0.0709288	+	0.0976252i
$737$	6.08970	−	13.6777i	0.224317	−	0.503824i
$738$	−12.0145	−	10.0940i	−0.442261	−	0.371567i
$739$	1.59751	+	0.922326i	0.0587655	+	0.0339283i	0.529095	−	0.848563i	$-0.322532\pi$
$739$	1.59751	+	0.922326i	0.0587655	+	0.0339283i	−0.470329	+	0.882491i	$0.655865\pi$
$740$	−19.6759	−	1.19680i	−0.723300	−	0.0439953i
$741$	−20.4331	−	8.68079i	−0.750628	−	0.318897i
$742$	−4.81887	−	14.8310i	−0.176906	−	0.544462i
$743$		−	20.8387i		−	0.764499i	−0.924059	−	0.382249i	$-0.875150\pi$
$743$		−	20.8387i		−	0.764499i	0.924059	−	0.382249i	$-0.124850\pi$
$744$	−9.63768	+	0.339232i	−0.353335	+	0.0124369i
$745$	−5.02400	+	6.09876i	−0.184065	+	0.223441i
$746$	5.85537	−	1.90253i	0.214380	−	0.0696564i
$747$	−20.3765	+	12.7152i	−0.745539	+	0.465224i
$748$	−3.12476	−	4.30086i	−0.114252	−	0.157255i
$749$	−0.893588	−	0.515913i	−0.0326510	−	0.0188511i
$750$	16.1556	+	10.6769i	0.589918	+	0.389867i
$751$	−8.63189	−	3.84317i	−0.314982	−	0.140239i	0.243156	−	0.969987i	$-0.421817\pi$
$751$	−8.63189	−	3.84317i	−0.314982	−	0.140239i	−0.558138	+	0.829748i	$0.688484\pi$
$752$	8.22556	+	5.97622i	0.299955	+	0.217930i
$753$	16.4817	+	3.20900i	0.600626	+	0.116943i
$754$	2.79306	+	0.593682i	0.101717	+	0.0216206i
$755$	−14.9001	−	9.85497i	−0.542270	−	0.358659i
$756$	19.2297	−	12.4626i	0.699376	−	0.453259i
$757$	25.2787	+	28.0748i	0.918769	+	1.02040i	0.999720	+	0.0236782i	$0.00753772\pi$
$757$	25.2787	+	28.0748i	0.918769	+	1.02040i	−0.0809506	+	0.996718i	$0.525796\pi$
$758$	−1.82087	+	17.3244i	−0.0661369	+	0.629251i
$759$	5.77042	+	7.66253i	0.209453	+	0.278132i
$760$	−12.2984	+	7.84077i	−0.446111	+	0.284415i
$761$	−1.40654	+	13.3823i	−0.0509869	+	0.485108i	0.938997	+	0.343926i	$0.111757\pi$
$761$	−1.40654	+	13.3823i	−0.0509869	+	0.485108i	−0.989984	+	0.141182i	$0.954910\pi$
$762$	1.42978	+	11.6744i	0.0517954	+	0.422920i
$763$	−48.3309	−	43.5174i	−1.74970	−	1.57543i
$764$	13.2825	−	1.39605i	0.480544	−	0.0505072i
$765$	−17.9711	−	11.0197i	−0.649748	−	0.398418i
$766$	−12.9112	−	28.9989i	−0.466499	−	1.04777i
$767$	1.45404	−	2.00131i	0.0525023	−	0.0722633i
$768$	0.891613	+	1.48493i	0.0321733	+	0.0535829i
$769$	15.7377	+	27.2586i	0.567517	+	0.982969i	0.996811	+	0.0798037i	$0.0254293\pi$
$769$	15.7377	+	27.2586i	0.567517	+	0.982969i	−0.429293	+	0.903165i	$0.641237\pi$
$770$	−5.84731	−	15.6233i	−0.210722	−	0.563026i
$771$	33.4258	−	0.573119i	1.20380	−	0.0206404i
$772$	3.68967	+	17.3585i	0.132794	+	0.624747i
$773$	−18.1255	+	5.88935i	−0.651930	+	0.211825i	−0.616265	−	0.787539i	$-0.711355\pi$
$773$	−18.1255	+	5.88935i	−0.651930	+	0.211825i	−0.0356653	+	0.999364i	$0.511355\pi$
$774$	−12.4955	−	34.3973i	−0.449142	−	1.23638i
$775$	5.82225	+	27.2232i	0.209142	+	0.977885i
$776$		−	15.3707i		−	0.551777i
$777$	64.3879	+	19.7071i	2.30990	+	0.706989i
$778$	−8.85885	+	1.88301i	−0.317605	+	0.0675091i
$779$	−20.0541	−	27.6022i	−0.718514	−	0.988950i
$780$	7.36828	+	1.90536i	0.263827	+	0.0682227i
$781$	1.53319	−	0.885187i	0.0548618	−	0.0316745i
$782$	−9.39835	−	4.18442i	−0.336084	−	0.149634i
$783$	5.87232	−	4.74630i	0.209860	−	0.169619i
$784$	−11.3718	+	5.06305i	−0.406135	+	0.180823i
$785$	−9.33022	+	7.42670i	−0.333010	+	0.265070i
$786$	−5.36090	−	2.97376i	−0.191217	−	0.106071i
$787$	−4.24539	+	4.71499i	−0.151332	+	0.168071i	−0.814044	−	0.580803i	$-0.802739\pi$
$787$	−4.24539	+	4.71499i	−0.151332	+	0.168071i	0.662712	+	0.748874i	$0.269405\pi$
$788$	−0.838695	+	0.755164i	−0.0298773	+	0.0269016i
$789$	28.5983	+	24.8757i	1.01813	+	0.885597i
$790$	−15.8275	−	24.8258i	−0.563118	−	0.883264i
$791$	74.9437	+	24.3507i	2.66469	+	0.865810i
$792$	4.92505	−	1.22472i	0.175004	−	0.0435186i
$793$	6.19550	−	5.57845i	0.220009	−	0.198097i
$794$	−6.11659	−	5.50740i	−0.217070	−	0.195450i
$795$	−5.01968	−	12.7422i	−0.178030	−	0.451919i
$796$	3.23238	−	15.2072i	0.114569	−	0.539004i
$797$	19.3800	+	43.5282i	0.686475	+	1.54185i	0.833382	+	0.552697i	$0.186401\pi$
$797$	19.3800	+	43.5282i	0.686475	+	1.54185i	−0.146907	+	0.989150i	$0.546932\pi$
$798$	47.1132	−	16.2061i	1.66779	−	0.573690i
$799$	−12.9957	+	29.1888i	−0.459755	+	1.03263i
$800$	3.77135	−	3.28283i	0.133337	−	0.116065i
$801$	−54.4771	−	9.64049i	−1.92485	−	0.340630i
$802$	29.0967	−	21.1400i	1.02744	−	0.746480i
$803$	2.47650	−	0.526397i	0.0873939	−	0.0185761i
$804$	−14.6582	−	4.48641i	−0.516954	−	0.158223i
$805$	−24.9168	−	20.5257i	−0.878200	−	0.723438i
$806$	5.64052	+	9.37495i	0.198679	+	0.330219i
$807$	19.8625	+	13.9170i	0.699194	+	0.489903i
$808$	6.17928	−	2.00777i	0.217386	−	0.0706331i
$809$	27.4606	−	5.83692i	0.965462	−	0.205215i	0.301902	−	0.953339i	$-0.402378\pi$
$809$	27.4606	−	5.83692i	0.965462	−	0.205215i	0.663559	+	0.748124i	$0.269045\pi$
$810$	16.1881	−	11.9560i	0.568791	−	0.420091i
$811$	−26.2813	+	45.5206i	−0.922862	+	1.59844i	−0.127898	+	0.991787i	$0.540823\pi$
$811$	−26.2813	+	45.5206i	−0.922862	+	1.59844i	−0.794964	+	0.606657i	$0.792510\pi$
$812$	−5.54967	+	3.20410i	−0.194755	+	0.112442i
$813$	−31.5375	+	18.9364i	−1.10607	+	0.664128i
$814$	12.0650	+	8.76574i	0.422878	+	0.307239i
$815$	9.48616	−	34.2506i	0.332286	−	1.19975i
$816$	−3.98191	+	3.71089i	−0.139395	+	0.129907i
$817$	−8.31730	−	79.1338i	−0.290986	−	2.76854i
$818$	−2.06469	−	1.85905i	−0.0721901	−	0.0650003i
$819$	−22.9470	−	12.2193i	−0.801834	−	0.426978i
$820$	8.20071	+	8.33951i	0.286381	+	0.291228i
$821$	9.99722	−	30.7683i	0.348905	−	1.07382i	−0.610555	−	0.791974i	$-0.709053\pi$
$821$	9.99722	−	30.7683i	0.348905	−	1.07382i	0.959460	−	0.281846i	$-0.0909466\pi$
$822$	−23.0209	−	30.5694i	−0.802947	−	1.06623i
$823$	−4.51707	+	42.9771i	−0.157455	+	1.49809i	0.575496	+	0.817805i	$0.304809\pi$
$823$	−4.51707	+	42.9771i	−0.157455	+	1.49809i	−0.732951	+	0.680282i	$0.761858\pi$
$824$	0.221011	−	0.198999i	0.00769927	−	0.00693246i
$825$	−5.96370	−	13.3816i	−0.207629	−	0.465889i
$826$	0.580302	+	5.52120i	0.0201913	+	0.192107i
$827$	1.01352	−	4.76823i	0.0352435	−	0.165807i	−0.957006	−	0.290067i	$-0.906322\pi$
$827$	1.01352	−	4.76823i	0.0352435	−	0.165807i	0.992250	+	0.124260i	$0.0396556\pi$
$828$	7.06899	−	6.81801i	0.245664	−	0.236942i
$829$	20.2298	−	27.8439i	0.702609	−	0.967058i	−0.297316	−	0.954779i	$-0.596092\pi$
$829$	20.2298	−	27.8439i	0.702609	−	0.967058i	0.999925	−	0.0122785i	$-0.00390848\pi$
$830$	16.0186	−	7.99329i	0.556014	−	0.277451i
$831$	1.47329	−	16.7801i	0.0511079	−	0.582094i
$832$	0.982530	−	1.70179i	0.0340631	−	0.0589990i
$833$	−22.9930	−	31.6472i	−0.796661	−	1.09651i
$834$	1.62546	−	3.82606i	0.0562851	−	0.132486i
$835$	42.2235	+	16.6159i	1.46120	+	0.575018i
$836$	11.0344			0.381632
$837$	28.6480	+	4.03617i	0.990221	+	0.139510i
$838$			21.9630i			0.758699i
$839$	−28.6583	+	9.31166i	−0.989396	+	0.321474i	−0.758620	−	0.651533i	$-0.774126\pi$
$839$	−28.6583	+	9.31166i	−0.989396	+	0.321474i	−0.230775	+	0.973007i	$0.574126\pi$
$840$	−15.1498	+	7.88698i	−0.522716	+	0.272127i
$841$	21.7532	−	15.8046i	0.750111	−	0.544988i
$842$	−4.16948	+	7.22176i	−0.143690	+	0.248878i
$843$	12.6030	+	1.10654i	0.434070	+	0.0381114i
$844$	−5.54824	−	2.47023i	−0.190978	−	0.0850290i
$845$	5.12300	+	19.7818i	0.176237	+	0.680515i
$846$	−21.1749	−	21.9544i	−0.728009	−	0.754809i
$847$	7.46183	−	35.1051i	0.256391	−	1.20623i
$848$	−3.51674	+	0.369624i	−0.120765	+	0.0126929i
$849$	6.63590	+	28.7838i	0.227743	+	0.987857i
$850$	12.5550	+	9.44767i	0.430633	+	0.324052i
$851$	28.7018	+	3.01668i	0.983884	+	0.103410i
$852$	−1.09042	−	1.44796i	−0.0373570	−	0.0496063i
$853$	17.1681	+	5.57824i	0.587823	+	0.190995i	0.587802	−	0.809005i	$-0.299993\pi$
$853$	17.1681	+	5.57824i	0.587823	+	0.190995i	2.08229e−5		1.00000i	$0.499993\pi$
$854$	−1.95569	+	18.6071i	−0.0669222	+	0.636722i
$855$	40.4298	−	16.7332i	1.38267	−	0.572263i
$856$	−0.156560	+	0.173877i	−0.00535111	+	0.00594301i
$857$	−4.11383	−	39.1405i	−0.140526	−	1.33701i	−0.806587	−	0.591116i	$-0.798688\pi$
$857$	−4.11383	−	39.1405i	−0.140526	−	1.33701i	0.666061	−	0.745897i	$-0.267979\pi$
$858$	−3.92549	−	4.21219i	−0.134014	−	0.143802i
$859$	7.85556	+	17.6439i	0.268028	+	0.602002i	0.996548	−	0.0830238i	$-0.0264577\pi$
$859$	7.85556	+	17.6439i	0.268028	+	0.602002i	−0.728519	+	0.685025i	$0.759791\pi$
$860$	6.83859	+	26.4063i	0.233194	+	0.900448i
$861$	−20.5670	−	34.2532i	−0.700920	−	1.16734i
$862$	−9.54334	+	5.50985i	−0.325048	+	0.187666i
$863$	32.8309	+	18.9549i	1.11758	+	0.645233i	0.940781	−	0.339015i	$-0.110094\pi$
$863$	32.8309	+	18.9549i	1.11758	+	0.645233i	0.176795	+	0.984248i	$0.443427\pi$
$864$	−1.85764	−	4.85275i	−0.0631981	−	0.165094i
$865$	15.6443	+	8.13724i	0.531923	+	0.276675i
$866$	−1.67991	−	5.17022i	−0.0570855	−	0.175691i
$867$	10.1062	+	7.08110i	0.343225	+	0.240487i
$868$	−23.4851	−	7.16506i	−0.797136	−	0.243198i
$869$			22.2742i			0.755599i
$870$	−4.69293	+	3.10636i	−0.159105	+	0.105316i
$871$	3.61592	+	17.0116i	0.122521	+	0.576415i
$872$	−11.9309	+	8.66828i	−0.404030	+	0.293545i
$873$	−8.03536	+	45.4067i	−0.271956	+	1.53678i
$874$	18.4928	−	10.6768i	0.625528	−	0.361149i
$875$	30.0544	+	39.0862i	1.01603	+	1.32135i
$876$	−0.843195	−	2.45128i	−0.0284889	−	0.0828210i
$877$	23.8402	+	53.5460i	0.805026	+	1.80812i	0.533821	+	0.845597i	$0.320756\pi$
$877$	23.8402	+	53.5460i	0.805026	+	1.80812i	0.271205	+	0.962522i	$0.412578\pi$
$878$	−7.24377	−	1.53971i	−0.244466	−	0.0519628i
$879$	−20.1916	+	36.4002i	−0.681047	+	1.22775i
$880$	−3.74098	+	0.560376i	−0.126108	+	0.0188903i
$881$	14.6340	+	16.2527i	0.493031	+	0.547566i	0.937390	−	0.348283i	$-0.113235\pi$
$881$	14.6340	+	16.2527i	0.493031	+	0.547566i	−0.444359	+	0.895849i	$0.646568\pi$
$882$	36.2402	−	9.01192i	1.22027	−	0.303447i
$883$	−15.9924	+	49.2196i	−0.538187	+	1.65637i	0.198472	+	0.980107i	$0.436402\pi$
$883$	−15.9924	+	49.2196i	−0.538187	+	1.65637i	−0.736659	+	0.676264i	$0.763598\pi$
$884$	5.87301	+	1.90826i	0.197531	+	0.0641816i
$885$	0.804833	+	4.80871i	0.0270542	+	0.161643i
$886$	−12.9714	−	14.4061i	−0.435781	−	0.483984i
$887$	24.6167	−	27.3396i	0.826546	−	0.917973i	−0.171189	−	0.985238i	$-0.554761\pi$
$887$	24.6167	−	27.3396i	0.826546	−	0.917973i	0.997735	+	0.0672656i	$0.0214275\pi$
$888$	7.40671	−	13.3523i	0.248553	−	0.448075i
$889$	−6.22622	+	29.2921i	−0.208821	+	0.982424i
$890$	39.7397	+	11.0064i	1.33208	+	0.368936i
$891$	−15.1894	+	1.04328i	−0.508862	+	0.0349512i
$892$	−0.645545	−	0.287415i	−0.0216145	−	0.00962337i
$893$	−33.1594	−	57.4337i	−1.10964	−	1.92195i
$894$	−2.58495	−	5.54791i	−0.0864536	−	0.185550i
$895$	19.2718	+	1.17222i	0.644184	+	0.0391830i
$896$	0.916888	+	4.31362i	0.0306311	+	0.144108i
$897$	−10.6545	−	3.26102i	−0.355745	−	0.108882i
$898$	−6.46358			−0.215692
$899$	−7.94285	−	1.53910i	−0.264909	−	0.0513319i
$900$	−12.8571	+	7.72625i	−0.428570	+	0.257542i
$901$	−3.43389	−	10.5684i	−0.114400	−	0.352086i
$902$	−1.83973	−	8.65525i	−0.0612563	−	0.288188i
$903$	−1.59741	−	93.1651i	−0.0531584	−	3.10034i
$904$	8.93432	−	15.4747i	0.297151	−	0.514681i
$905$	31.1738	+	5.20595i	1.03625	+	0.173052i
$906$	11.8634	−	7.12324i	0.394134	−	0.236654i
$907$	34.1939	−	47.0638i	1.13539	−	1.56273i	0.357985	−	0.933727i	$-0.383464\pi$
$907$	34.1939	−	47.0638i	1.13539	−	1.56273i	0.777404	−	0.629002i	$-0.216536\pi$
$908$	−14.2189	+	6.33067i	−0.471871	+	0.210091i
$909$	−19.3038	+	2.70081i	−0.640267	+	0.0895802i
$910$	16.1622	+	10.6897i	0.535772	+	0.354361i
$911$	5.73108	−	6.36501i	0.189879	−	0.210882i	−0.640687	−	0.767802i	$-0.721350\pi$
$911$	5.73108	−	6.36501i	0.189879	−	0.210882i	0.830566	+	0.556920i	$0.188017\pi$
$912$	−1.37338	−	11.2139i	−0.0454770	−	0.371329i
$913$	−13.4696	−	1.41571i	−0.445778	−	0.0468532i
$914$	5.13142	−	15.7929i	0.169732	−	0.522382i
$915$	−0.716289	+	16.4157i	−0.0236798	+	0.542687i
$916$	−14.8152	−	1.55714i	−0.489507	−	0.0514492i
$917$	−10.4443	−	11.5996i	−0.344902	−	0.383053i
$918$	13.7029	−	8.88073i	0.452264	−	0.293108i
$919$	1.56257	+	14.8669i	0.0515445	+	0.490413i	0.989592	+	0.143905i	$0.0459659\pi$
$919$	1.56257	+	14.8669i	0.0515445	+	0.490413i	−0.938047	+	0.346508i	$0.887367\pi$
$920$	−5.72739	+	4.55891i	−0.188826	+	0.150303i
$921$	5.35835	−	27.5209i	0.176563	−	0.906844i
$922$	26.4338	+	19.2052i	0.870549	+	0.632491i
$923$	−0.836441	+	1.87868i	−0.0275318	+	0.0618374i
$924$	12.8721	+	1.13017i	0.423461	+	0.0371799i
$925$	−41.6861	−	14.3224i	−1.37063	−	0.470918i
$926$	25.6689	−	18.6495i	0.843531	−	0.612861i
$927$	−0.756919	+	0.472325i	−0.0248605	+	0.0155132i
$928$	0.449037	+	1.38199i	0.0147404	+	0.0453661i
$929$	11.9031			0.390528			0.195264	−	0.980751i	$-0.437444\pi$
$929$	11.9031			0.390528			0.195264	+	0.980751i	$0.437444\pi$
$930$	−20.9711	−	5.02113i	−0.687670	−	0.164649i
$931$	81.1947			2.66105
$932$	−6.63279	−	20.4136i	−0.217264	−	0.668670i
$933$	−0.756545	+	1.78078i	−0.0247682	+	0.0583001i
$934$	−1.07435	+	0.780561i	−0.0351538	+	0.0255407i
$935$	−4.16675	−	11.1331i	−0.136267	−	0.364091i
$936$	−3.79214	+	4.51363i	−0.123950	+	0.147532i
$937$	−17.3949	+	39.0696i	−0.568267	+	1.27635i	0.369547	+	0.929212i	$0.379513\pi$
$937$	−17.3949	+	39.0696i	−0.568267	+	1.27635i	−0.937814	+	0.347137i	$0.887154\pi$
$938$	−31.5761	−	22.9414i	−1.03100	−	0.749063i
$939$	10.3686	+	2.01877i	0.338365	+	0.0658800i
$940$	14.1588	+	17.7878i	0.461808	+	0.580173i
$941$	−2.24793	−	21.3876i	−0.0732805	−	0.697217i	−0.968062	−	0.250712i	$-0.919335\pi$
$941$	−2.24793	−	21.3876i	−0.0732805	−	0.697217i	0.894781	−	0.446505i	$-0.147331\pi$
$942$	−2.07513	−	9.00106i	−0.0676114	−	0.293270i
$943$	−11.4580	−	12.7254i	−0.373125	−	0.414398i
$944$	1.25198	+	0.131588i	0.0407484	+	0.00428283i
$945$	48.8770	−	15.3791i	1.58997	−	0.500282i
$946$	6.37706	−	19.6266i	0.207336	−	0.638114i
$947$	37.0384	+	3.89289i	1.20358	+	0.126502i	0.685012	−	0.728532i	$-0.259797\pi$
$947$	37.0384	+	3.89289i	1.20358	+	0.126502i	0.518573	+	0.855034i	$0.326464\pi$
$948$	22.6366	−	2.77232i	0.735201	−	0.0900408i
$949$	−1.96790	+	2.18557i	−0.0638806	+	0.0709466i
$950$	−31.1821	+	9.55622i	−1.01168	+	0.310045i
$951$	−29.6856	−	31.8537i	−0.962622	−	1.03293i
$952$	−12.6604	+	5.63675i	−0.410325	+	0.182688i
$953$	29.5857	−	40.7213i	0.958376	−	1.31909i	0.0106712	−	0.999943i	$-0.496603\pi$
$953$	29.5857	−	40.7213i	0.958376	−	1.31909i	0.947705	−	0.319148i	$-0.103397\pi$
$954$	10.5820	+	0.746539i	0.342606	+	0.0241701i
$955$	29.4562	+	4.91913i	0.953182	+	0.159179i
$956$	−10.8074	+	18.7190i	−0.349538	+	0.605417i
$957$	4.25711	−	0.0729924i	0.137613	−	0.00235951i
$958$	6.63803	+	31.2295i	0.214465	+	1.00898i
$959$	−30.1090	−	92.6661i	−0.972271	−	2.99234i
$960$	1.03511	+	3.73210i	0.0334080	+	0.120453i
$961$	−16.4583	−	26.2702i	−0.530913	−	0.847426i
$962$	−17.3232			−0.558521
$963$	0.553392	−	0.431806i	0.0178328	−	0.0139148i
$964$	1.55657	+	7.32307i	0.0501336	+	0.235860i
$965$	−2.40924	+	39.6088i	−0.0775562	+	1.27505i
$966$	22.6662	−	10.5609i	0.729274	−	0.339792i
$967$	−20.3064	−	35.1717i	−0.653010	−	1.13105i	−0.982389	−	0.186848i	$-0.940173\pi$
$967$	−20.3064	−	35.1717i	−0.653010	−	1.13105i	0.329379	−	0.944198i	$-0.393161\pi$
$968$	−7.43463	−	3.31011i	−0.238958	−	0.106391i
$969$	33.5725	−	11.5484i	1.07851	−	0.370986i
$970$	9.17387	−	33.1231i	0.294555	−	1.06352i
$971$	9.55963	−	44.9745i	0.306783	−	1.44330i	−0.506906	−	0.862001i	$-0.669211\pi$
$971$	9.55963	−	44.9745i	0.306783	−	1.44330i	0.813689	−	0.581300i	$-0.197456\pi$
$972$	2.95077	+	15.3066i	0.0946461	+	0.490960i
$973$	7.08223	−	7.86561i	0.227046	−	0.252160i
$974$	−10.9601	−	12.1724i	−0.351184	−	0.390029i
$975$	14.7410	+	8.50362i	0.472091	+	0.272334i
$976$	4.03491	+	1.31102i	0.129154	+	0.0419648i
$977$	−0.785732	+	2.41823i	−0.0251378	+	0.0773661i	−0.962838	−	0.270078i	$-0.912950\pi$
$977$	−0.785732	+	2.41823i	−0.0251378	+	0.0773661i	0.937701	+	0.347444i	$0.112950\pi$
$978$	20.7709	+	18.0672i	0.664181	+	0.577724i
$979$	−20.8746	−	23.1836i	−0.667155	−	0.740950i
$980$	−27.5274	+	4.12344i	−0.879331	+	0.131719i
$981$	39.7765	−	19.3699i	1.26997	−	0.618433i
$982$	−4.27269	−	0.908188i	−0.136347	−	0.0289814i
$983$	16.9676	+	38.1099i	0.541183	+	1.21552i	0.952644	+	0.304089i	$0.0983520\pi$
$983$	16.9676	+	38.1099i	0.541183	+	1.21552i	−0.411461	+	0.911427i	$0.634981\pi$
$984$	−8.56709	+	2.94693i	−0.273109	+	0.0939446i
$985$	−2.25805	+	1.12677i	−0.0719475	+	0.0359019i
$986$	−3.95466	+	2.28322i	−0.125942	+	0.0727126i
$987$	−32.7994	−	70.3953i	−1.04402	−	2.24071i
$988$	−10.3696	+	7.53396i	−0.329901	+	0.239687i
$989$	−8.30312	−	39.0631i	−0.264024	−	1.24213i
$990$	11.3442	+	0.300264i	0.360542	+	0.00954301i
$991$		−	33.6796i		−	1.06987i	−0.844894	−	0.534933i	$-0.820337\pi$
$991$		−	33.6796i		−	1.06987i	0.844894	−	0.534933i	$-0.179663\pi$
$992$	−2.69645	+	4.87126i	−0.0856124	+	0.154663i
$993$	−5.59922	+	7.99125i	−0.177686	+	0.253595i
$994$	−1.42615	−	4.38925i	−0.0452348	−	0.139218i
$995$	16.0419	−	30.8414i	0.508561	−	0.977737i
$996$	0.237728	+	13.8649i	0.00753271	+	0.439327i
$997$	9.09444	+	5.25068i	0.288024	+	0.166291i	0.637050	−	0.770822i	$-0.280154\pi$
$997$	9.09444	+	5.25068i	0.288024	+	0.166291i	−0.349026	+	0.937113i	$0.613488\pi$
$998$	6.54883	−	3.78097i	0.207300	−	0.119685i
$999$	−28.8604	+	35.5721i	−0.913101	+	1.12545i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bo.a.179.5	✓	256
3.2	odd	2		930.2.bo.b.179.10	yes	256
5.4	even	2		930.2.bo.b.179.28	yes	256
15.14	odd	2	inner	930.2.bo.a.179.23	yes	256
31.22	odd	30	inner	930.2.bo.a.239.23	yes	256
93.53	even	30		930.2.bo.b.239.28	yes	256
155.84	odd	30		930.2.bo.b.239.10	yes	256
465.239	even	30	inner	930.2.bo.a.239.5	yes	256

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bo.a.179.5	✓	256	1.1	even	1	trivial
930.2.bo.a.179.23	yes	256	15.14	odd	2	inner
930.2.bo.a.239.5	yes	256	465.239	even	30	inner
930.2.bo.a.239.23	yes	256	31.22	odd	30	inner
930.2.bo.b.179.10	yes	256	3.2	odd	2
930.2.bo.b.179.28	yes	256	5.4	even	2
930.2.bo.b.239.10	yes	256	155.84	odd	30
930.2.bo.b.239.28	yes	256	93.53	even	30

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bo (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.309017 + 0.951057i) q^{2} +(-1.59415 - 0.677259i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.09420 + 0.783790i) q^{5} +(0.151491 - 1.72541i) q^{6} +(1.79370 - 4.02872i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(2.08264 + 2.15931i) q^{9} +O(q^{10})\)	\(q+(0.309017 + 0.951057i) q^{2} +(-1.59415 - 0.677259i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.09420 + 0.783790i) q^{5} +(0.151491 - 1.72541i) q^{6} +(1.79370 - 4.02872i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(2.08264 + 2.15931i) q^{9} +(-1.39257 - 1.74950i) q^{10} +(0.176829 + 1.68241i) q^{11} +(1.68778 - 0.389105i) q^{12} +(-1.31488 - 1.46032i) q^{13} +(4.38583 + 0.460969i) q^{14} +(3.86930 + 0.168834i) q^{15} +(0.309017 - 0.951057i) q^{16} +(3.12531 + 0.328483i) q^{17} +(-1.41005 + 2.64797i) q^{18} +(-4.36455 + 4.84733i) q^{19} +(1.23354 - 1.86504i) q^{20} +(-5.58792 + 5.20760i) q^{21} +(-1.54543 + 0.688069i) q^{22} +(-1.92425 + 2.64850i) q^{23} +(0.891613 + 1.48493i) q^{24} +(3.77135 - 3.28283i) q^{25} +(0.982530 - 1.70179i) q^{26} +(-1.85764 - 4.85275i) q^{27} +(0.916888 + 4.31362i) q^{28} +(0.449037 + 1.38199i) q^{29} +(1.03511 + 3.73210i) q^{30} +(-2.69645 + 4.87126i) q^{31} +1.00000 q^{32} +(0.857538 - 2.80178i) q^{33} +(0.653367 + 3.07385i) q^{34} +(-0.598699 + 9.84284i) q^{35} +(-2.95410 - 0.522770i) q^{36} +(-4.40779 - 7.63452i) q^{37} +(-5.95880 - 2.65303i) q^{38} +(1.10710 + 3.21849i) q^{39} +(2.15494 + 0.596840i) q^{40} +(-1.08752 + 5.11636i) q^{41} +(-6.67948 - 3.70520i) q^{42} +(-8.16263 + 9.06552i) q^{43} +(-1.13196 - 1.25716i) q^{44} +(-6.05391 - 2.88967i) q^{45} +(-3.11350 - 1.01164i) q^{46} +(-3.14188 + 9.66972i) q^{47} +(-1.13673 + 1.30684i) q^{48} +(-8.32932 - 9.25065i) q^{49} +(4.28756 + 2.57231i) q^{50} +(-4.75975 - 2.64029i) q^{51} +(1.92212 + 0.408559i) q^{52} +(-1.43827 - 3.23040i) q^{53} +(4.04120 - 3.26630i) q^{54} +(-1.68898 - 3.38472i) q^{55} +(-3.81916 + 2.20499i) q^{56} +(10.2407 - 4.77144i) q^{57} +(-1.17559 + 0.854119i) q^{58} +(0.261734 + 1.23136i) q^{59} +(-3.22957 + 2.13773i) q^{60} +4.24255i q^{61} +(-5.46609 - 1.05917i) q^{62} +(12.4349 - 4.51723i) q^{63} +(0.309017 + 0.951057i) q^{64} +(3.89821 + 2.02762i) q^{65} +(2.92965 - 0.0502317i) q^{66} +(-7.66469 - 4.42521i) q^{67} +(-2.72151 + 1.57126i) q^{68} +(4.86127 - 2.91890i) q^{69} +(-9.54610 + 2.47221i) q^{70} +(-0.425657 - 0.956041i) q^{71} +(-0.415683 - 2.97106i) q^{72} +(-0.156441 - 1.48844i) q^{73} +(5.89878 - 6.55126i) q^{74} +(-8.23542 + 2.67915i) q^{75} +(0.681810 - 6.48699i) q^{76} +(7.09516 + 2.30536i) q^{77} +(-2.71885 + 2.04749i) q^{78} +(13.0947 + 1.37631i) q^{79} +(0.0982855 + 2.23391i) q^{80} +(-0.325212 + 8.99412i) q^{81} +(-5.20201 + 0.546753i) q^{82} +(-1.66456 + 7.83115i) q^{83} +(1.45978 - 7.49753i) q^{84} +(-6.80248 + 1.76168i) q^{85} +(-11.1442 - 4.96172i) q^{86} +(0.220134 - 2.50722i) q^{87} +(0.845841 - 1.46504i) q^{88} +(-14.9192 + 10.8394i) q^{89} +(0.877475 - 6.65057i) q^{90} +(-8.24174 + 2.67791i) q^{91} -3.27373i q^{92} +(7.59765 - 5.93933i) q^{93} -10.1673 q^{94} +(5.34096 - 13.5722i) q^{95} +(-1.59415 - 0.677259i) q^{96} +(9.03469 + 12.4352i) q^{97} +(6.22399 - 10.7803i) q^{98} +(-3.26458 + 3.88569i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 256 q - 64 q^{2} - 64 q^{4} - 2 q^{5} - 64 q^{8} + 4 q^{9}+O(q^{10}) \) 256 * q - 64 * q^2 - 64 * q^4 - 2 * q^5 - 64 * q^8 + 4 * q^9	\( 256 q - 64 q^{2} - 64 q^{4} - 2 q^{5} - 64 q^{8} + 4 q^{9} - 2 q^{10} + 20 q^{15} - 64 q^{16} - 6 q^{17} - 6 q^{18} - 4 q^{19} + 3 q^{20} + 20 q^{23} - 2 q^{25} + 42 q^{31} + 256 q^{32} + 8 q^{33} + 14 q^{34} - 16 q^{35} + 4 q^{36} + 36 q^{38} + 8 q^{39} + 3 q^{40} - 79 q^{45} - 10 q^{46} - 6 q^{47} - 40 q^{49} - 7 q^{50} + 68 q^{51} - 34 q^{53} - 6 q^{57} - 20 q^{60} + 2 q^{62} - 72 q^{63} - 64 q^{64} + 8 q^{66} - 6 q^{68} + 10 q^{69} - 16 q^{70} - 6 q^{72} - 2 q^{75} - 24 q^{76} + 100 q^{77} + 8 q^{78} + 40 q^{79} - 2 q^{80} + 12 q^{81} - 26 q^{83} - 30 q^{85} + 16 q^{87} - 49 q^{90} - 20 q^{91} - 22 q^{93} + 4 q^{94} + 56 q^{95} + 130 q^{98} + 102 q^{99}+O(q^{100}) \) 256 * q - 64 * q^2 - 64 * q^4 - 2 * q^5 - 64 * q^8 + 4 * q^9 - 2 * q^10 + 20 * q^15 - 64 * q^16 - 6 * q^17 - 6 * q^18 - 4 * q^19 + 3 * q^20 + 20 * q^23 - 2 * q^25 + 42 * q^31 + 256 * q^32 + 8 * q^33 + 14 * q^34 - 16 * q^35 + 4 * q^36 + 36 * q^38 + 8 * q^39 + 3 * q^40 - 79 * q^45 - 10 * q^46 - 6 * q^47 - 40 * q^49 - 7 * q^50 + 68 * q^51 - 34 * q^53 - 6 * q^57 - 20 * q^60 + 2 * q^62 - 72 * q^63 - 64 * q^64 + 8 * q^66 - 6 * q^68 + 10 * q^69 - 16 * q^70 - 6 * q^72 - 2 * q^75 - 24 * q^76 + 100 * q^77 + 8 * q^78 + 40 * q^79 - 2 * q^80 + 12 * q^81 - 26 * q^83 - 30 * q^85 + 16 * q^87 - 49 * q^90 - 20 * q^91 - 22 * q^93 + 4 * q^94 + 56 * q^95 + 130 * q^98 + 102 * q^99

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