LMFDB - Embedded newform 950.2.x.a.159.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [950,2,Mod(159,950)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(950, base_ring=CyclotomicField(30))

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

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

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

chi := DirichletCharacter("950.159");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 950 = 2 \cdot 5^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	950.x (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:	$7.58578819202$
Analytic rank:	$0$
Dimension:	$400$
Relative dimension:	$50$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			159.19
Character	$\chi$	$=$	950.159
Dual form			950.2.x.a.239.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.994522 - 0.104528i) q^{2} +(1.25394 + 1.12906i) q^{3} +(0.978148 + 0.207912i) q^{4} +(-0.311300 - 2.21429i) q^{5} +(-1.12906 - 1.25394i) q^{6} -1.86474i q^{7} +(-0.951057 - 0.309017i) q^{8} +(-0.0159781 - 0.152021i) q^{9} +O(q^{10})$	\(q+(-0.994522 - 0.104528i) q^{2} +(1.25394 + 1.12906i) q^{3} +(0.978148 + 0.207912i) q^{4} +(-0.311300 - 2.21429i) q^{5} +(-1.12906 - 1.25394i) q^{6} -1.86474i q^{7} +(-0.951057 - 0.309017i) q^{8} +(-0.0159781 - 0.152021i) q^{9} +(0.0781379 + 2.23470i) q^{10} +(-0.848668 - 0.616593i) q^{11} +(0.991798 + 1.36509i) q^{12} +(0.0705596 - 0.00741612i) q^{13} +(-0.194919 + 1.85453i) q^{14} +(2.10971 - 3.12807i) q^{15} +(0.913545 + 0.406737i) q^{16} +(0.602472 + 2.83441i) q^{17} +0.152859i q^{18} +(-1.85839 - 3.94289i) q^{19} +(0.155880 - 2.23063i) q^{20} +(2.10540 - 2.33828i) q^{21} +(0.779567 + 0.701925i) q^{22} +(-0.482051 - 1.08271i) q^{23} +(-0.843674 - 1.46129i) q^{24} +(-4.80618 + 1.37862i) q^{25} -0.0709483 q^{26} +(3.12700 - 4.30394i) q^{27} +(0.387702 - 1.82399i) q^{28} +(-7.85049 - 1.66867i) q^{29} +(-2.42512 + 2.89041i) q^{30} +(-0.0877703 + 0.270129i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(-0.368013 - 1.73137i) q^{33} +(-0.302895 - 2.88185i) q^{34} +(-4.12909 + 0.580494i) q^{35} +(0.0159781 - 0.152021i) q^{36} +(-6.72863 - 9.26116i) q^{37} +(1.43606 + 4.11555i) q^{38} +(0.0968510 + 0.0703664i) q^{39} +(-0.388190 + 2.20211i) q^{40} +(2.52709 + 1.12513i) q^{41} +(-2.33828 + 2.10540i) q^{42} +(2.09837 - 1.21150i) q^{43} +(-0.701925 - 0.779567i) q^{44} +(-0.331645 + 0.0827043i) q^{45} +(0.366237 + 1.12716i) q^{46} +(-1.05874 + 4.98099i) q^{47} +(0.686306 + 1.54147i) q^{48} +3.52273 q^{49} +(4.92396 - 0.868683i) q^{50} +(-2.44474 + 4.23441i) q^{51} +(0.0705596 + 0.00741612i) q^{52} +(0.506589 - 2.38332i) q^{53} +(-3.55975 + 3.95351i) q^{54} +(-1.10113 + 2.07114i) q^{55} +(-0.576238 + 1.77348i) q^{56} +(2.12143 - 7.04239i) q^{57} +(7.63306 + 2.48013i) q^{58} +(-13.0376 - 5.80470i) q^{59} +(2.71397 - 2.62108i) q^{60} +(5.86188 - 2.60988i) q^{61} +(0.115526 - 0.259475i) q^{62} +(-0.283481 + 0.0297950i) q^{63} +(0.809017 + 0.587785i) q^{64} +(-0.0383867 - 0.153931i) q^{65} +(0.185020 + 1.76035i) q^{66} +(7.45914 - 6.71624i) q^{67} +2.89773i q^{68} +(0.617969 - 1.90191i) q^{69} +(4.16715 - 0.145707i) q^{70} +(-3.15164 + 3.50025i) q^{71} +(-0.0317811 + 0.149518i) q^{72} +(15.7867 + 1.65925i) q^{73} +(5.72371 + 9.91376i) q^{74} +(-7.58322 - 3.69774i) q^{75} +(-0.998005 - 4.24311i) q^{76} +(-1.14979 + 1.58255i) q^{77} +(-0.0889652 - 0.0801046i) q^{78} +(1.58086 - 1.75573i) q^{79} +(0.616247 - 2.14947i) q^{80} +(8.33192 - 1.77100i) q^{81} +(-2.39564 - 1.38312i) q^{82} +(16.4962 + 5.35993i) q^{83} +(2.54555 - 1.84945i) q^{84} +(6.08866 - 2.21640i) q^{85} +(-2.21351 + 0.985520i) q^{86} +(-7.96005 - 10.9561i) q^{87} +(0.616593 + 0.848668i) q^{88} +(-1.80501 + 0.803641i) q^{89} +(0.338474 - 0.0475848i) q^{90} +(-0.0138292 - 0.131576i) q^{91} +(-0.246410 - 1.15927i) q^{92} +(-0.415050 + 0.239629i) q^{93} +(1.57360 - 4.84304i) q^{94} +(-8.15220 + 5.34244i) q^{95} +(-0.521419 - 1.60476i) q^{96} +(6.57034 + 5.91596i) q^{97} +(-3.50343 - 0.368226i) q^{98} +(-0.0801752 + 0.138867i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9}+O(q^{10}) $ 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9	$ 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9} - 12 q^{11} + 8 q^{14} - 18 q^{15} + 50 q^{16} - 10 q^{17} - 12 q^{19} + 4 q^{20} - 32 q^{21} + 20 q^{22} + 30 q^{23} - 14 q^{25} + 60 q^{27} + 24 q^{29} - 52 q^{30} + 20 q^{33} + 8 q^{34} - 8 q^{35} + 50 q^{36} - 24 q^{39} - 16 q^{41} + 4 q^{44} - 144 q^{45} - 32 q^{46} + 120 q^{47} - 440 q^{49} - 40 q^{50} + 52 q^{51} + 40 q^{53} - 12 q^{54} - 88 q^{55} + 16 q^{56} + 48 q^{59} - 2 q^{60} - 28 q^{61} + 10 q^{63} + 100 q^{64} + 152 q^{65} + 16 q^{66} - 80 q^{67} - 16 q^{69} + 8 q^{70} - 14 q^{71} + 80 q^{73} - 104 q^{75} - 8 q^{76} - 80 q^{77} + 60 q^{78} - 8 q^{79} + 2 q^{80} + 106 q^{81} + 80 q^{83} + 56 q^{84} + 78 q^{85} - 20 q^{86} + 80 q^{87} + 12 q^{89} + 78 q^{90} - 8 q^{91} - 20 q^{92} + 4 q^{95} - 30 q^{97} - 40 q^{98} - 12 q^{99}+O(q^{100}) $ 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9 - 12 * q^11 + 8 * q^14 - 18 * q^15 + 50 * q^16 - 10 * q^17 - 12 * q^19 + 4 * q^20 - 32 * q^21 + 20 * q^22 + 30 * q^23 - 14 * q^25 + 60 * q^27 + 24 * q^29 - 52 * q^30 + 20 * q^33 + 8 * q^34 - 8 * q^35 + 50 * q^36 - 24 * q^39 - 16 * q^41 + 4 * q^44 - 144 * q^45 - 32 * q^46 + 120 * q^47 - 440 * q^49 - 40 * q^50 + 52 * q^51 + 40 * q^53 - 12 * q^54 - 88 * q^55 + 16 * q^56 + 48 * q^59 - 2 * q^60 - 28 * q^61 + 10 * q^63 + 100 * q^64 + 152 * q^65 + 16 * q^66 - 80 * q^67 - 16 * q^69 + 8 * q^70 - 14 * q^71 + 80 * q^73 - 104 * q^75 - 8 * q^76 - 80 * q^77 + 60 * q^78 - 8 * q^79 + 2 * q^80 + 106 * q^81 + 80 * q^83 + 56 * q^84 + 78 * q^85 - 20 * q^86 + 80 * q^87 + 12 * q^89 + 78 * q^90 - 8 * q^91 - 20 * q^92 + 4 * q^95 - 30 * q^97 - 40 * q^98 - 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/950\mathbb{Z}\right)^\times$.

$n$	$77$	$401$
$\chi(n)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−0.994522	−	0.104528i	−0.703233	−	0.0739128i
$2$	−0.994522	−	0.104528i	−0.703233	−	0.0739128i
$3$	1.25394	+	1.12906i	0.723965	+	0.651861i	0.946367	−	0.323094i	$-0.104723\pi$
$3$	1.25394	+	1.12906i	0.723965	+	0.651861i	−0.222402	+	0.974955i	$0.571390\pi$
$4$	0.978148	+	0.207912i	0.489074	+	0.103956i
$5$	−0.311300	−	2.21429i	−0.139218	−	0.990262i
$5$	−0.311300	−	2.21429i	−0.139218	−	0.990262i
$6$	−1.12906	−	1.25394i	−0.460935	−	0.511920i
$7$		−	1.86474i		−	0.704807i	−0.935848	−	0.352403i	$-0.885364\pi$
$7$		−	1.86474i		−	0.704807i	0.935848	−	0.352403i	$-0.114636\pi$
$8$	−0.951057	−	0.309017i	−0.336249	−	0.109254i
$9$	−0.0159781	−	0.152021i	−0.00532602	−	0.0506737i
$10$	0.0781379	+	2.23470i	0.0247094	+	0.706675i
$11$	−0.848668	−	0.616593i	−0.255883	−	0.185910i	0.452447	−	0.891791i	$-0.350551\pi$
$11$	−0.848668	−	0.616593i	−0.255883	−	0.185910i	−0.708330	+	0.705881i	$0.750551\pi$
$12$	0.991798	+	1.36509i	0.286307	+	0.394068i
$13$	0.0705596	−	0.00741612i	0.0195697	−	0.00205686i	−0.0947385	−	0.995502i	$-0.530202\pi$
$13$	0.0705596	−	0.00741612i	0.0195697	−	0.00205686i	0.114308	+	0.993445i	$0.463535\pi$
$14$	−0.194919	+	1.85453i	−0.0520942	+	0.495644i
$15$	2.10971	−	3.12807i	0.544724	−	0.807665i
$16$	0.913545	+	0.406737i	0.228386	+	0.101684i
$17$	0.602472	+	2.83441i	0.146121	+	0.687444i	0.988827	+	0.149070i	$0.0476280\pi$
$17$	0.602472	+	2.83441i	0.146121	+	0.687444i	−0.842706	+	0.538374i	$0.819039\pi$
$18$			0.152859i			0.0360291i
$19$	−1.85839	−	3.94289i	−0.426344	−	0.904561i
$19$	−1.85839	−	3.94289i	−0.426344	−	0.904561i
$20$	0.155880	−	2.23063i	0.0348559	−	0.498784i
$21$	2.10540	−	2.33828i	0.459436	−	0.510255i
$22$	0.779567	+	0.701925i	0.166204	+	0.149651i
$23$	−0.482051	−	1.08271i	−0.100515	−	0.225760i	0.856287	−	0.516500i	$-0.172765\pi$
$23$	−0.482051	−	1.08271i	−0.100515	−	0.225760i	−0.956802	+	0.290740i	$0.906099\pi$
$24$	−0.843674	−	1.46129i	−0.172214	−	0.298284i
$25$	−4.80618	+	1.37862i	−0.961237	+	0.275724i
$26$	−0.0709483			−0.0139141
$27$	3.12700	−	4.30394i	0.601791	−	0.828294i
$28$	0.387702	−	1.82399i	0.0732688	−	0.344703i
$29$	−7.85049	−	1.66867i	−1.45780	−	0.309865i	−0.590252	−	0.807219i	$-0.700972\pi$
$29$	−7.85049	−	1.66867i	−1.45780	−	0.309865i	−0.867548	+	0.497354i	$0.834305\pi$
$30$	−2.42512	+	2.89041i	−0.442765	+	0.527715i
$31$	−0.0877703	+	0.270129i	−0.0157640	+	0.0485167i	−0.958629	−	0.284658i	$-0.908120\pi$
$31$	−0.0877703	+	0.270129i	−0.0157640	+	0.0485167i	0.942865	+	0.333175i	$0.108120\pi$
$32$	−0.866025	−	0.500000i	−0.153093	−	0.0883883i
$33$	−0.368013	−	1.73137i	−0.0640629	−	0.301392i
$34$	−0.302895	−	2.88185i	−0.0519461	−	0.494234i
$35$	−4.12909	+	0.580494i	−0.697943	+	0.0981215i
$36$	0.0159781	−	0.152021i	0.00266301	−	0.0253369i
$37$	−6.72863	−	9.26116i	−1.10618	−	1.52253i	−0.826928	−	0.562308i	$-0.809914\pi$
$37$	−6.72863	−	9.26116i	−1.10618	−	1.52253i	−0.279252	−	0.960218i	$-0.590086\pi$
$38$	1.43606	+	4.11555i	0.232960	+	0.667630i
$39$	0.0968510	+	0.0703664i	0.0155086	+	0.0112676i
$40$	−0.388190	+	2.20211i	−0.0613783	+	0.348185i
$41$	2.52709	+	1.12513i	0.394665	+	0.175716i	0.594467	−	0.804120i	$-0.297363\pi$
$41$	2.52709	+	1.12513i	0.394665	+	0.175716i	−0.199802	+	0.979836i	$0.564030\pi$
$42$	−2.33828	+	2.10540i	−0.360805	+	0.324870i
$43$	2.09837	−	1.21150i	0.319999	−	0.184751i	−0.331393	−	0.943493i	$-0.607519\pi$
$43$	2.09837	−	1.21150i	0.319999	−	0.184751i	0.651392	+	0.758741i	$0.274185\pi$
$44$	−0.701925	−	0.779567i	−0.105819	−	0.117524i
$45$	−0.331645	+	0.0827043i	−0.0494388	+	0.0123288i
$46$	0.366237	+	1.12716i	0.0539987	+	0.166191i
$47$	−1.05874	+	4.98099i	−0.154434	+	0.726553i	0.830970	+	0.556317i	$0.187786\pi$
$47$	−1.05874	+	4.98099i	−0.154434	+	0.726553i	−0.985403	+	0.170235i	$0.945547\pi$
$48$	0.686306	+	1.54147i	0.0990597	+	0.222492i
$49$	3.52273			0.503247
$50$	4.92396	−	0.868683i	0.696353	−	0.122850i
$51$	−2.44474	+	4.23441i	−0.342332	+	0.592936i
$52$	0.0705596	+	0.00741612i	0.00978486	+	0.00102843i
$53$	0.506589	−	2.38332i	0.0695854	−	0.327374i	−0.929562	−	0.368667i	$-0.879814\pi$
$53$	0.506589	−	2.38332i	0.0695854	−	0.327374i	0.999147	+	0.0412930i	$0.0131477\pi$
$54$	−3.55975	+	3.95351i	−0.484421	+	0.538004i
$55$	−1.10113	+	2.07114i	−0.148476	+	0.279273i
$56$	−0.576238	+	1.77348i	−0.0770030	+	0.236991i
$57$	2.12143	−	7.04239i	0.280990	−	0.932787i
$58$	7.63306	+	2.48013i	1.00227	+	0.325657i
$59$	−13.0376	−	5.80470i	−1.69735	−	0.755707i	−0.999210	−	0.0397431i	$-0.987346\pi$
$59$	−13.0376	−	5.80470i	−1.69735	−	0.755707i	−0.698137	−	0.715964i	$-0.745987\pi$
$60$	2.71397	−	2.62108i	0.350372	−	0.338381i
$61$	5.86188	−	2.60988i	0.750537	−	0.334161i	0.00443333	−	0.999990i	$-0.498589\pi$
$61$	5.86188	−	2.60988i	0.750537	−	0.334161i	0.746104	+	0.665829i	$0.231922\pi$
$62$	0.115526	−	0.259475i	0.0146718	−	0.0329534i
$63$	−0.283481	+	0.0297950i	−0.0357152	+	0.00375382i
$64$	0.809017	+	0.587785i	0.101127	+	0.0734732i
$65$	−0.0383867	−	0.153931i	−0.00476128	−	0.0190928i
$66$	0.185020	+	1.76035i	0.0227744	+	0.216684i
$67$	7.45914	−	6.71624i	0.911279	−	0.820519i	−0.0729652	−	0.997334i	$-0.523246\pi$
$67$	7.45914	−	6.71624i	0.911279	−	0.820519i	0.984244	+	0.176815i	$0.0565795\pi$
$68$			2.89773i			0.351401i
$69$	0.617969	−	1.90191i	0.0743948	−	0.228964i
$70$	4.16715	−	0.145707i	0.498069	−	0.0174153i
$71$	−3.15164	+	3.50025i	−0.374030	+	0.415403i	−0.900545	−	0.434763i	$-0.856832\pi$
$71$	−3.15164	+	3.50025i	−0.374030	+	0.415403i	0.526514	+	0.850166i	$0.323499\pi$
$72$	−0.0317811	+	0.149518i	−0.00374544	+	0.0176209i
$73$	15.7867	+	1.65925i	1.84770	+	0.194201i	0.962548	−	0.271110i	$-0.0873908\pi$
$73$	15.7867	+	1.65925i	1.84770	+	0.194201i	0.885147	+	0.465311i	$0.154057\pi$
$74$	5.72371	+	9.91376i	0.665368	+	1.15245i
$75$	−7.58322	−	3.69774i	−0.875635	−	0.426978i
$76$	−0.998005	−	4.24311i	−0.114479	−	0.486718i
$77$	−1.14979	+	1.58255i	−0.131031	+	0.180348i
$78$	−0.0889652	−	0.0801046i	−0.0100733	−	0.00907006i
$79$	1.58086	−	1.75573i	0.177861	−	0.197535i	−0.647622	−	0.761962i	$-0.724236\pi$
$79$	1.58086	−	1.75573i	0.177861	−	0.197535i	0.825483	+	0.564427i	$0.190903\pi$
$80$	0.616247	−	2.14947i	0.0688986	−	0.240319i
$81$	8.33192	−	1.77100i	0.925769	−	0.196778i
$82$	−2.39564	−	1.38312i	−0.264554	−	0.152740i
$83$	16.4962	+	5.35993i	1.81069	+	0.588329i	0.999996	+	0.00286043i	$0.000910503\pi$
$83$	16.4962	+	5.35993i	1.81069	+	0.588329i	0.810695	+	0.585469i	$0.199089\pi$
$84$	2.54555	−	1.84945i	0.277742	−	0.201791i
$85$	6.08866	−	2.21640i	0.660407	−	0.240402i
$86$	−2.21351	+	0.985520i	−0.238689	+	0.106271i
$87$	−7.96005	−	10.9561i	−0.853407	−	1.17461i
$88$	0.616593	+	0.848668i	0.0657290	+	0.0904683i
$89$	−1.80501	+	0.803641i	−0.191330	+	0.0851858i	−0.500166	−	0.865930i	$-0.666728\pi$
$89$	−1.80501	+	0.803641i	−0.191330	+	0.0851858i	0.308835	+	0.951116i	$0.400061\pi$
$90$	0.338474	−	0.0475848i	0.0356783	−	0.00501588i
$91$	−0.0138292	−	0.131576i	−0.00144969	−	0.0137929i
$92$	−0.246410	−	1.15927i	−0.0256901	−	0.120862i
$93$	−0.415050	+	0.239629i	−0.0430387	+	0.0248484i
$94$	1.57360	−	4.84304i	0.162304	−	0.499521i
$95$	−8.15220	+	5.34244i	−0.836398	+	0.548123i
$96$	−0.521419	−	1.60476i	−0.0532171	−	0.163785i
$97$	6.57034	+	5.91596i	0.667117	+	0.600674i	0.931499	−	0.363743i	$-0.118502\pi$
$97$	6.57034	+	5.91596i	0.667117	+	0.600674i	−0.264383	+	0.964418i	$0.585168\pi$
$98$	−3.50343	−	0.368226i	−0.353900	−	0.0371964i
$99$	−0.0801752	+	0.138867i	−0.00805791	+	0.0139567i
$100$	−4.98779	+	0.349230i	−0.498779	+	0.0349230i
$101$	−0.0893027	+	0.154677i	−0.00888595	+	0.0153909i	−0.870434	−	0.492285i	$-0.836162\pi$
$101$	−0.0893027	+	0.154677i	−0.00888595	+	0.0153909i	0.861548	+	0.507676i	$0.169495\pi$
$102$	2.87396	−	3.95567i	0.284565	−	0.391669i
$103$	−12.2602	+	3.98359i	−1.20804	+	0.392515i	−0.842712	−	0.538365i	$-0.819042\pi$
$103$	−12.2602	+	3.98359i	−1.20804	+	0.392515i	−0.365325	+	0.930880i	$0.619042\pi$
$104$	−0.0693979	−	0.0147510i	−0.00680502	−	0.00144645i
$105$	−5.83305	−	3.93406i	−0.569248	−	0.383925i
$106$	−0.752939	+	2.31731i	−0.0731319	+	0.225077i
$107$		−	4.11515i		−	0.397826i	−0.980017	−	0.198913i	$-0.936259\pi$
$107$		−	4.11515i		−	0.397826i	0.980017	−	0.198913i	$-0.0637412\pi$
$108$	3.95351	−	3.55975i	0.380426	−	0.342537i
$109$	3.33571	+	1.48515i	0.319503	+	0.142252i	0.560221	−	0.828343i	$-0.310716\pi$
$109$	3.33571	+	1.48515i	0.319503	+	0.142252i	−0.240718	+	0.970595i	$0.577383\pi$
$110$	1.31159	−	1.94470i	0.125055	−	0.185420i
$111$	2.01905	−	19.2100i	0.191640	−	1.82333i
$112$	0.758460	−	1.70353i	0.0716677	−	0.160968i
$113$	0.615974	+	0.847816i	0.0579460	+	0.0797558i	0.837007	−	0.547193i	$-0.184304\pi$
$113$	0.615974	+	0.847816i	0.0579460	+	0.0797558i	−0.779061	+	0.626949i	$0.784304\pi$
$114$	−2.84594	+	6.78206i	−0.266547	+	0.635198i
$115$	−2.24736	+	1.40445i	−0.209568	+	0.130966i
$116$	−7.33200	−	3.26442i	−0.680759	−	0.303094i
$117$	−0.00225481	−	0.0106081i	−0.000208458	−	0.000980716i
$118$	12.3594	+	7.13570i	1.13777	+	0.656894i
$119$	5.28544	−	1.12346i	0.484516	−	0.102987i
$120$	−2.97308	+	2.32304i	−0.271404	+	0.212063i
$121$	−3.05914	−	9.41506i	−0.278103	−	0.855914i
$122$	−6.10258	+	1.98285i	−0.552501	+	0.179519i
$123$	1.89849	+	4.26408i	0.171181	+	0.384479i
$124$	−0.142015	+	0.245978i	−0.0127534	+	0.0220895i
$125$	4.54883	+	10.2131i	0.406860	+	0.913491i
$126$	0.285042			0.0253936
$127$	−5.58669	−	12.5479i	−0.495739	−	1.11345i	−0.972179	−	0.234240i	$-0.924740\pi$
$127$	−5.58669	−	12.5479i	−0.495739	−	1.11345i	0.476440	−	0.879207i	$-0.341927\pi$
$128$	−0.743145	−	0.669131i	−0.0656853	−	0.0591433i
$129$	3.99909	+	0.850033i	0.352100	+	0.0748412i
$130$	0.0220862	+	0.157100i	0.00193709	+	0.0137786i
$131$	−6.22812	+	1.32383i	−0.544154	+	0.115663i	−0.471784	−	0.881714i	$-0.656390\pi$
$131$	−6.22812	+	1.32383i	−0.544154	+	0.115663i	−0.0723701	+	0.997378i	$0.523056\pi$
$132$		−	1.77005i		−	0.154063i
$133$	−7.35248	+	3.46542i	−0.637541	+	0.300490i
$134$	−8.12031	+	5.89975i	−0.701488	+	0.509661i
$135$	−10.5036	−	5.58427i	−0.904008	−	0.480618i
$136$	0.302895	−	2.88185i	0.0259730	−	0.247117i
$137$	12.1610	−	1.27817i	1.03899	−	0.109202i	0.430358	−	0.902658i	$-0.358387\pi$
$137$	12.1610	−	1.27817i	1.03899	−	0.109202i	0.608627	+	0.793456i	$0.291721\pi$
$138$	−0.813388	+	1.82690i	−0.0692402	+	0.155516i
$139$	−0.438495	+	0.195230i	−0.0371926	+	0.0165592i	−0.425249	−	0.905077i	$-0.639813\pi$
$139$	−0.438495	+	0.195230i	−0.0371926	+	0.0165592i	0.388056	+	0.921636i	$0.373147\pi$
$140$	−4.15955	−	0.290677i	−0.351546	−	0.0245667i
$141$	−6.95143	+	5.05051i	−0.585416	+	0.425329i
$142$	3.50025	−	3.15164i	0.293734	−	0.264479i
$143$	−0.0644544	−	0.0372128i	−0.00538995	−	0.00311189i
$144$	0.0472359	−	0.145377i	0.00393632	−	0.0121148i
$145$	−1.25107	+	17.9027i	−0.103896	+	1.48674i
$146$	−15.5268	−	3.30032i	−1.28501	−	0.273137i
$147$	4.41730	+	3.97736i	0.364333	+	0.328047i
$148$	−4.65609	−	10.4577i	−0.382728	−	0.859621i
$149$	−8.94022	−	15.4849i	−0.732411	−	1.26857i	−0.955850	−	0.293855i	$-0.905062\pi$
$149$	−8.94022	−	15.4849i	−0.732411	−	1.26857i	0.223439	−	0.974718i	$-0.428272\pi$
$150$	7.15516	+	4.47015i	0.584216	+	0.364986i
$151$	−3.74033			−0.304384			−0.152192	−	0.988351i	$-0.548633\pi$
$151$	−3.74033			−0.304384			−0.152192	+	0.988351i	$0.548633\pi$
$152$	0.549012	+	4.32419i	0.0445308	+	0.350738i
$153$	0.421263	−	0.136877i	0.0340571	−	0.0110658i
$154$	1.30891	−	1.45369i	0.105475	−	0.117142i
$155$	0.625468	+	0.110258i	0.0502388	+	0.00885614i
$156$	0.0801046	+	0.0889652i	0.00641350	+	0.00712291i
$157$	13.0611	−	7.54081i	1.04239	−	0.601822i	0.121878	−	0.992545i	$-0.461108\pi$
$157$	13.0611	−	7.54081i	1.04239	−	0.601822i	0.920508	+	0.390723i	$0.127775\pi$
$158$	−1.75573	+	1.58086i	−0.139678	+	0.125767i
$159$	3.32613	−	2.41658i	0.263779	−	0.191647i
$160$	−0.837553	+	2.07328i	−0.0662144	+	0.163907i
$161$	−2.01897	+	0.898902i	−0.159117	+	0.0708434i
$162$	−8.47140	+	0.890380i	−0.665576	+	0.0699548i
$163$	13.5769	+	18.6870i	1.06342	+	1.46368i	0.876560	+	0.481293i	$0.159833\pi$
$163$	13.5769	+	18.6870i	1.06342	+	1.46368i	0.186865	+	0.982386i	$0.440167\pi$
$164$	2.23794	+	1.62596i	0.174754	+	0.126966i
$165$	−3.71919	+	1.35386i	−0.289538	+	0.105398i
$166$	−15.8455	−	7.05489i	−1.22985	−	0.547566i
$167$	0.920361	−	0.828697i	0.0712197	−	0.0641265i	−0.632752	−	0.774354i	$-0.718075\pi$
$167$	0.920361	−	0.828697i	0.0712197	−	0.0641265i	0.703972	+	0.710228i	$0.251408\pi$
$168$	−2.72492	+	1.57324i	−0.210232	+	0.121378i
$169$	−12.7110	+	2.70181i	−0.977769	+	0.207831i
$170$	−6.28698	+	1.56782i	−0.482189	+	0.120246i
$171$	−0.569710	+	0.345514i	−0.0435668	+	0.0264221i
$172$	2.30440	−	0.748746i	0.175709	−	0.0570913i
$173$	−0.914399	−	0.0961072i	−0.0695205	−	0.00730690i	0.0697044	−	0.997568i	$-0.477794\pi$
$173$	−0.914399	−	0.0961072i	−0.0695205	−	0.00730690i	−0.139225	+	0.990261i	$0.544461\pi$
$174$	6.77122	+	11.7281i	0.513325	+	0.889105i
$175$	2.57077	+	8.96230i	0.194332	+	0.677486i
$176$	−0.524505	−	0.908470i	−0.0395361	−	0.0684785i
$177$	−9.79454	−	21.9989i	−0.736203	−	1.65354i
$178$	1.87912	−	0.610564i	0.140846	−	0.0457637i
$179$	1.32785	+	4.08669i	0.0992478	+	0.305453i	0.988337	−	0.152280i	$-0.0486615\pi$
$179$	1.32785	+	4.08669i	0.0992478	+	0.305453i	−0.889090	+	0.457733i	$0.848661\pi$
$180$	−0.341593	+	0.0119440i	−0.0254609	+	0.000890257i
$181$	10.7309	+	11.9178i	0.797618	+	0.885845i	0.995537	−	0.0943736i	$-0.0300848\pi$
$181$	10.7309	+	11.9178i	0.797618	+	0.885845i	−0.197919	+	0.980218i	$0.563418\pi$
$182$			0.132300i			0.00980676i
$183$	10.2972	+	3.34575i	0.761189	+	0.247325i
$184$	0.123884	+	1.17868i	0.00913284	+	0.0868931i
$185$	−18.4123	+	17.7822i	−1.35370	+	1.30737i
$186$	0.437825	−	0.194932i	0.0321029	−	0.0142931i
$187$	1.23638	−	2.77695i	0.0904129	−	0.203071i
$188$	−2.07121	+	4.65202i	−0.151059	+	0.339284i
$189$	−8.02575	−	5.83105i	−0.583788	−	0.424147i
$190$	8.66598	−	4.46103i	0.628696	−	0.323637i
$191$	−16.6212	+	12.0760i	−1.20267	+	0.873787i	−0.994544	−	0.104316i	$-0.966735\pi$
$191$	−16.6212	+	12.0760i	−1.20267	+	0.873787i	−0.208121	+	0.978103i	$0.566735\pi$
$192$	0.350819	+	1.65047i	0.0253182	+	0.119113i
$193$	13.3738	−	7.72138i	0.962669	−	0.555797i	0.0656757	−	0.997841i	$-0.479080\pi$
$193$	13.3738	−	7.72138i	0.962669	−	0.555797i	0.896994	+	0.442044i	$0.145746\pi$
$194$	−5.91596	−	6.57034i	−0.424741	−	0.471723i
$195$	0.125662	−	0.236362i	0.00899885	−	0.0169262i
$196$	3.44575	+	0.732417i	0.246125	+	0.0523155i
$197$	13.0961	−	4.25518i	0.933057	−	0.303169i	0.197245	−	0.980354i	$-0.436801\pi$
$197$	13.0961	−	4.25518i	0.933057	−	0.303169i	0.735812	+	0.677186i	$0.236801\pi$
$198$	0.0942516	−	0.129726i	0.00669817	−	0.00921923i
$199$	−6.09175	+	10.5512i	−0.431832	+	0.747956i	−0.997031	−	0.0769991i	$-0.975466\pi$
$199$	−6.09175	+	10.5512i	−0.431832	+	0.747956i	0.565199	+	0.824955i	$0.308799\pi$
$200$	4.99697	+	0.174049i	0.353339	+	0.0123071i
$201$	16.9363			1.19460
$202$	0.104982	−	0.144495i	0.00738648	−	0.0101666i
$203$	−3.11165	+	14.6392i	−0.218395	+	1.02747i
$204$	−3.27170	+	3.63359i	−0.229065	+	0.254402i
$205$	1.70469	−	5.94597i	0.119061	−	0.415285i
$206$	12.6095	−	2.68022i	0.878543	−	0.186740i
$207$	−0.156892	+	0.0905816i	−0.0109047	+	0.00629585i
$208$	0.0674758	+	0.0219242i	0.00467861	+	0.00152017i
$209$	−0.854006	+	4.49207i	−0.0590728	+	0.310723i
$210$	5.38988	+	4.52223i	0.371937	+	0.312064i
$211$	0.899550	−	8.55865i	0.0619276	−	0.589202i	−0.918923	−	0.394438i	$-0.870939\pi$
$211$	0.899550	−	8.55865i	0.0619276	−	0.589202i	0.980850	−	0.194764i	$-0.0623940\pi$
$212$	0.991038	−	2.22591i	0.0680648	−	0.152876i
$213$	−7.90395	+	0.830738i	−0.541570	+	0.0569213i
$214$	−0.430150	+	4.09260i	−0.0294044	+	0.279765i
$215$	−3.33583	−	4.26927i	−0.227502	−	0.291162i
$216$	−4.30394	+	3.12700i	−0.292846	+	0.212765i
$217$	0.503722	+	0.163669i	0.0341949	+	0.0111106i
$218$	−3.16220	−	1.82569i	−0.214171	−	0.123652i
$219$	17.9223	+	19.9047i	1.21107	+	1.34503i
$220$	−1.50768	+	1.79695i	−0.101648	+	0.121150i
$221$	0.0635305	+	0.195527i	0.00427352	+	0.0131525i
$222$	−4.01598	+	18.8937i	−0.269535	+	1.26806i
$223$	11.1052	+	1.16720i	0.743656	+	0.0781614i	0.468776	−	0.883317i	$-0.344695\pi$
$223$	11.1052	+	1.16720i	0.743656	+	0.0781614i	0.274880	+	0.961478i	$0.411362\pi$
$224$	−0.932372	+	1.61492i	−0.0622967	+	0.107901i
$225$	0.286373	+	0.708614i	0.0190915	+	0.0472410i
$226$	−0.523979	−	0.907558i	−0.0348546	−	0.0603699i
$227$	−6.45321	+	8.88209i	−0.428315	+	0.589525i	−0.967565	−	0.252621i	$-0.918708\pi$
$227$	−6.45321	+	8.88209i	−0.428315	+	0.589525i	0.539251	+	0.842145i	$0.318708\pi$
$228$	3.53927	−	6.44742i	0.234394	−	0.426991i
$229$	4.44017	+	13.6654i	0.293415	+	0.903037i	0.983749	+	0.179547i	$0.0574632\pi$
$229$	4.44017	+	13.6654i	0.293415	+	0.903037i	−0.690335	+	0.723490i	$0.742537\pi$
$230$	2.38186	−	1.16184i	0.157055	−	0.0766096i
$231$	−3.22855	+	0.686250i	−0.212423	+	0.0451520i
$232$	6.95061	+	4.01294i	0.456330	+	0.263462i
$233$	0.341628	+	1.60723i	0.0223808	+	0.105293i	0.987920	−	0.154964i	$-0.0495261\pi$
$233$	0.341628	+	1.60723i	0.0223808	+	0.105293i	−0.965539	+	0.260257i	$0.916193\pi$
$234$	0.00113362	+	0.0107856i	7.41069e−5	+	0.000705080i
$235$	11.3590	+	0.793784i	0.740977	+	0.0517808i
$236$	−11.5458	−	8.38852i	−0.751568	−	0.546046i
$237$	3.96462	−	0.416699i	0.257530	−	0.0270675i
$238$	−5.37392	+	0.564822i	−0.348340	+	0.0366120i
$239$	22.1879	+	16.1204i	1.43521	+	1.04274i	0.989016	+	0.147810i	$0.0472224\pi$
$239$	22.1879	+	16.1204i	1.43521	+	1.04274i	0.446198	+	0.894934i	$0.352778\pi$
$240$	3.19962	−	1.99954i	0.206534	−	0.129070i
$241$	−0.623935	−	5.93634i	−0.0401912	−	0.382393i	−0.996066	−	0.0886182i	$-0.971755\pi$
$241$	−0.623935	−	5.93634i	−0.0401912	−	0.382393i	0.955874	−	0.293775i	$-0.0949118\pi$
$242$	2.05824	+	9.68325i	0.132309	+	0.622463i
$243$	−1.37436	−	0.793490i	−0.0881655	−	0.0509024i
$244$	6.27641	−	1.33409i	0.401806	−	0.0854065i
$245$	−1.09663	−	7.80036i	−0.0700608	−	0.498346i
$246$	−1.44237	−	4.43917i	−0.0919623	−	0.283031i
$247$	−0.160368	−	0.264427i	−0.0102040	−	0.0168251i
$248$	0.166949	−	0.229786i	0.0106013	−	0.0145914i
$249$	14.6336	+	25.3462i	0.927368	+	1.60625i
$250$	−3.45635	−	10.6327i	−0.218599	−	0.672469i
$251$	−9.11784	+	15.7926i	−0.575513	+	0.996818i	0.420473	+	0.907305i	$0.361864\pi$
$251$	−9.11784	+	15.7926i	−0.575513	+	0.996818i	−0.995986	+	0.0895127i	$0.971469\pi$
$252$	−0.283481	−	0.0297950i	−0.0178576	−	0.00187691i
$253$	−0.258487	+	1.21609i	−0.0162509	+	0.0764547i
$254$	4.24447	+	13.0631i	0.266322	+	0.819654i
$255$	10.1373	+	4.09519i	0.634820	+	0.256451i
$256$	0.669131	+	0.743145i	0.0418207	+	0.0464466i
$257$	−8.49523	−	4.90472i	−0.529918	−	0.305948i	0.211065	−	0.977472i	$-0.432307\pi$
$257$	−8.49523	−	4.90472i	−0.529918	−	0.305948i	−0.740983	+	0.671524i	$0.765640\pi$
$258$	−3.88833	−	1.26339i	−0.242077	−	0.0786555i
$259$	−17.2697	+	12.5472i	−1.07309	+	0.779643i
$260$	−0.00554375	−	0.158548i	−0.000343809	−	0.00983275i
$261$	−0.128238	+	1.22010i	−0.00793773	+	0.0755225i
$262$	6.33238	−	0.665560i	0.391216	−	0.0411185i
$263$	−3.02866	+	6.80249i	−0.186755	+	0.419459i	−0.982523	−	0.186143i	$-0.940401\pi$
$263$	−3.02866	+	6.80249i	−0.186755	+	0.419459i	0.795767	+	0.605603i	$0.207068\pi$
$264$	−0.185020	+	1.76035i	−0.0113872	+	0.108342i
$265$	−5.43506	−	0.379811i	−0.333873	−	0.0233316i
$266$	7.67444	−	2.67789i	0.470550	−	0.164192i
$267$	−3.17073	−	1.03023i	−0.194046	−	0.0630493i
$268$	8.69252	−	5.01863i	0.530980	−	0.306562i
$269$	17.3546	−	3.68883i	1.05813	−	0.224912i	0.354189	−	0.935174i	$-0.384757\pi$
$269$	17.3546	−	3.68883i	1.05813	−	0.224912i	0.703937	+	0.710262i	$0.251424\pi$
$270$	9.86237	+	6.65161i	0.600205	+	0.404804i
$271$	1.66528	−	1.84948i	0.101158	−	0.112348i	−0.690440	−	0.723390i	$-0.742583\pi$
$271$	1.66528	−	1.84948i	0.101158	−	0.112348i	0.791598	+	0.611042i	$0.209250\pi$
$272$	−0.602472	+	2.83441i	−0.0365302	+	0.171861i
$273$	0.131215	−	0.180602i	0.00794151	−	0.0109306i
$274$	−12.2280			−0.738720
$275$	4.92890	+	1.79347i	0.297224	+	0.108150i
$276$	0.999895	−	1.73187i	0.0601866	−	0.104246i
$277$	−5.15779	+	7.09909i	−0.309901	+	0.426543i	−0.935351	−	0.353722i	$-0.884916\pi$
$277$	−5.15779	+	7.09909i	−0.309901	+	0.426543i	0.625449	+	0.780265i	$0.284916\pi$
$278$	0.456500	−	0.148326i	0.0273790	−	0.00889599i
$279$	0.0424678	+	0.00902681i	0.00254248	+	0.000540421i
$280$	4.10638	+	0.723876i	0.245403	+	0.0432598i
$281$	7.38100	+	8.19743i	0.440314	+	0.489018i	0.921926	−	0.387367i	$-0.126615\pi$
$281$	7.38100	+	8.19743i	0.440314	+	0.489018i	−0.481612	+	0.876384i	$0.659949\pi$
$282$	7.44127	−	4.29622i	0.443121	−	0.255836i
$283$	2.30061	+	10.8235i	0.136757	+	0.643391i	0.992113	+	0.125350i	$0.0400053\pi$
$283$	2.30061	+	10.8235i	0.136757	+	0.643391i	−0.855356	+	0.518041i	$0.826661\pi$
$284$	−3.81051	+	2.76850i	−0.226112	+	0.164280i
$285$	−16.2543	−	2.50517i	−0.962822	−	0.148394i
$286$	0.0602115	+	0.0437462i	0.00356038	+	0.00258677i
$287$	2.09808	−	4.71237i	0.123846	−	0.278163i
$288$	−0.0621732	+	0.139643i	−0.00366359	+	0.00822856i
$289$	7.85939	−	3.49922i	0.462317	−	0.205837i
$290$	3.11557	−	17.6739i	0.182952	−	1.03785i
$291$	1.55938	+	14.8366i	0.0914127	+	0.869734i
$292$	15.0968	+	4.90524i	0.883471	+	0.287057i
$293$		−	13.8805i		−	0.810908i	−0.914115	−	0.405454i	$-0.867113\pi$
$293$		−	13.8805i		−	0.810908i	0.914115	−	0.405454i	$-0.132887\pi$
$294$	−3.97736	−	4.41730i	−0.231964	−	0.257622i
$295$	−8.79471	+	30.6760i	−0.512048	+	1.78603i
$296$	3.53745	+	10.8871i	0.205610	+	0.632803i
$297$	−5.30757	+	1.72453i	−0.307976	+	0.100068i
$298$	7.27263	+	16.3346i	0.421292	+	0.946237i
$299$	−0.0420428	−	0.0728203i	−0.00243140	−	0.00421131i
$300$	−6.64871	−	5.19358i	−0.383863	−	0.299851i
$301$	−2.25913	−	3.91293i	−0.130214	−	0.225537i
$302$	3.71984	+	0.390971i	0.214053	+	0.0224979i
$303$	−0.286619	+	0.0931283i	−0.0164659	+	0.00535008i
$304$	−0.0940040	−	4.35789i	−0.00539150	−	0.249942i
$305$	−7.60384	−	12.1675i	−0.435395	−	0.696707i
$306$	−0.433263	+	0.0920930i	−0.0247680	+	0.00526460i
$307$	19.8191	−	11.4426i	1.13114	−	0.653062i	0.186916	−	0.982376i	$-0.440151\pi$
$307$	19.8191	−	11.4426i	1.13114	−	0.653062i	0.944220	+	0.329314i	$0.106817\pi$
$308$	−1.45369	+	1.30891i	−0.0828318	+	0.0745821i
$309$	−19.8713	−	8.84729i	−1.13044	−	0.503305i
$310$	−0.610517	−	0.175033i	−0.0346750	−	0.00994122i
$311$	−17.7748	−	12.9142i	−1.00792	−	0.732296i	−0.0441472	−	0.999025i	$-0.514057\pi$
$311$	−17.7748	−	12.9142i	−1.00792	−	0.732296i	−0.963772	+	0.266729i	$0.914057\pi$
$312$	−0.0703664	−	0.0968510i	−0.00398371	−	0.00548311i
$313$	−16.3335	+	1.71672i	−0.923224	+	0.0970348i	−0.554199	−	0.832384i	$-0.686975\pi$
$313$	−16.3335	+	1.71672i	−0.923224	+	0.0970348i	−0.369026	+	0.929419i	$0.620309\pi$
$314$	−13.7777	+	6.13425i	−0.777523	+	0.346176i
$315$	0.154222	+	0.618434i	0.00868944	+	0.0348448i
$316$	1.91135	−	1.38868i	0.107522	−	0.0781193i
$317$	6.94999	−	6.25780i	0.390350	−	0.351473i	−0.450466	−	0.892794i	$-0.648742\pi$
$317$	6.94999	−	6.25780i	0.390350	−	0.351473i	0.840816	+	0.541321i	$0.182075\pi$
$318$	−3.56051	+	2.05566i	−0.199664	+	0.115276i
$319$	5.63356	+	6.25671i	0.315419	+	0.350308i
$320$	1.04968	−	1.97438i	0.0586790	−	0.110371i
$321$	4.64623	−	5.16016i	0.259327	−	0.288012i
$322$	2.10187	−	0.682938i	0.117133	−	0.0380587i
$323$	10.0561	−	7.64291i	0.559538	−	0.425263i
$324$	8.51806			0.473225
$325$	−0.328899	+	0.132918i	−0.0182440	+	0.00737296i
$326$	−11.5492	−	20.0038i	−0.639651	−	1.10791i
$327$	2.50597	+	5.62850i	0.138580	+	0.311257i
$328$	−2.05572	−	1.85098i	−0.113508	−	0.102203i
$329$	9.28828	+	1.97428i	0.512079	+	0.108846i
$330$	3.84033	−	0.957685i	0.211403	−	0.0527188i
$331$	0.485085	−	1.49294i	0.0266627	−	0.0820593i	−0.936840	−	0.349759i	$-0.886263\pi$
$331$	0.485085	−	1.49294i	0.0266627	−	0.0820593i	0.963502	+	0.267700i	$0.0862635\pi$
$332$	15.0213	+	8.67255i	0.824401	+	0.475968i
$333$	−1.30038	+	1.17087i	−0.0712605	+	0.0641633i
$334$	−1.00194	+	0.727953i	−0.0548238	+	0.0398318i
$335$	−17.1937	−	14.4260i	−0.939395	−	0.788174i
$336$	2.87444	−	1.27978i	0.156814	−	0.0698180i
$337$	−13.5694	+	30.4775i	−0.739174	+	1.66021i	0.0118425	+	0.999930i	$0.496230\pi$
$337$	−13.5694	+	30.4775i	−0.739174	+	1.66021i	−0.751017	+	0.660283i	$0.770436\pi$
$338$	12.9238	−	1.35834i	0.702961	−	0.0738842i
$339$	−0.184834	+	1.75858i	−0.0100388	+	0.0955131i
$340$	6.41642	−	0.902062i	0.347979	−	0.0489212i
$341$	0.241048	−	0.175131i	0.0130535	−	0.00948390i
$342$	0.602705	−	0.284071i	0.0325905	−	0.0153608i
$343$		−	19.6222i		−	1.05950i
$344$	−2.37004	+	0.503769i	−0.127784	+	0.0271614i
$345$	−4.40377	−	0.776299i	−0.237091	−	0.0417946i
$346$	0.899344	+	0.191161i	0.0483490	+	0.0102769i
$347$	−1.15294	−	1.03811i	−0.0618931	−	0.0557288i	0.637604	−	0.770365i	$-0.279926\pi$
$347$	−1.15294	−	1.03811i	−0.0618931	−	0.0557288i	−0.699497	+	0.714636i	$0.746592\pi$
$348$	−5.50821	−	12.3716i	−0.295271	−	0.663189i
$349$	24.4761			1.31017			0.655087	−	0.755553i	$-0.272632\pi$
$349$	24.4761			1.31017			0.655087	+	0.755553i	$0.272632\pi$
$350$	−1.61987	−	9.18193i	−0.0865857	−	0.490795i
$351$	0.188721	−	0.326875i	0.0100732	−	0.0174473i
$352$	0.426671	+	0.958319i	0.0227417	+	0.0510786i
$353$	0.407288	−	0.132336i	0.0216778	−	0.00704353i	−0.298158	−	0.954517i	$-0.596372\pi$
$353$	0.407288	−	0.132336i	0.0216778	−	0.00704353i	0.319836	+	0.947473i	$0.396372\pi$
$354$	7.44138	+	22.9022i	0.395505	+	1.21724i
$355$	8.73167	+	5.88902i	0.463429	+	0.312557i
$356$	−1.93265	+	0.410797i	−0.102430	+	0.0217722i
$357$	7.89609	+	4.55881i	0.417905	+	0.241278i
$358$	−0.893396	−	4.20310i	−0.0472175	−	0.222141i
$359$	−16.5774	−	7.38073i	−0.874922	−	0.389540i	−0.0803905	−	0.996763i	$-0.525617\pi$
$359$	−16.5774	−	7.38073i	−0.874922	−	0.389540i	−0.794531	+	0.607223i	$0.792283\pi$
$360$	0.340971	+	0.0238276i	0.0179707	+	0.00125583i
$361$	−12.0928	+	14.6548i	−0.636462	+	0.771308i
$362$	−9.42632	−	12.9742i	−0.495436	−	0.681910i
$363$	6.79414	−	15.2599i	0.356600	−	0.800936i
$364$	0.0138292	−	0.131576i	0.000724845	−	0.00689644i
$365$	−1.24034	−	35.4729i	−0.0649221	−	1.85674i
$366$	−9.89103	−	4.40377i	−0.517013	−	0.230189i
$367$	0.828664	−	0.746133i	0.0432559	−	0.0389478i	−0.647219	−	0.762304i	$-0.724068\pi$
$367$	0.828664	−	0.746133i	0.0432559	−	0.0389478i	0.690475	+	0.723356i	$0.257401\pi$
$368$		−	1.18517i		−	0.0617812i
$369$	0.130666	−	0.402149i	0.00680220	−	0.0209350i
$370$	20.1702	−	15.7601i	1.04860	−	0.819330i
$371$	−4.44427	−	0.944660i	−0.230735	−	0.0490443i
$372$	−0.455802	+	0.148099i	−0.0236322	+	0.00767858i
$373$	9.31279	−	12.8180i	0.482198	−	0.663689i	−0.496727	−	0.867907i	$-0.665465\pi$
$373$	9.31279	−	12.8180i	0.482198	−	0.663689i	0.978925	+	0.204218i	$0.0654651\pi$
$374$	−1.51987	+	2.63250i	−0.0785908	+	0.136123i
$375$	−5.82723	+	17.9426i	−0.300917	+	0.926551i
$376$	2.54614	−	4.41004i	0.131307	−	0.227430i
$377$	−0.566303	−	0.0595208i	−0.0291661	−	0.00306548i
$378$	7.37228	+	6.63803i	0.379189	+	0.341423i
$379$	2.49606	+	7.68208i	0.128214	+	0.394602i	0.994473	−	0.104993i	$-0.0334821\pi$
$379$	2.49606	+	7.68208i	0.128214	+	0.394602i	−0.866259	+	0.499595i	$0.833482\pi$
$380$	−9.08481	+	3.53075i	−0.466041	+	0.181124i
$381$	7.16190	−	22.0421i	0.366915	−	1.12925i
$382$	17.7924	−	10.2724i	0.910338	−	0.525584i
$383$	6.13991	+	28.8860i	0.313735	+	1.47601i	0.798836	+	0.601548i	$0.205449\pi$
$383$	6.13991	+	28.8860i	0.313735	+	1.47601i	−0.485102	+	0.874458i	$0.661217\pi$
$384$	−0.176376	−	1.67810i	−0.00900064	−	0.0856354i
$385$	3.86215	+	2.05332i	0.196834	+	0.104647i
$386$	−14.1077	+	6.28114i	−0.718061	+	0.319702i
$387$	−0.217701	−	0.299640i	−0.0110664	−	0.0152315i
$388$	5.19676	+	7.15273i	0.263826	+	0.363125i
$389$	−7.96454	+	3.54604i	−0.403818	+	0.179791i	−0.598587	−	0.801058i	$-0.704271\pi$
$389$	−7.96454	+	3.54604i	−0.403818	+	0.179791i	0.194769	+	0.980849i	$0.437604\pi$
$390$	−0.149680	+	0.221931i	−0.00757935	+	0.0112379i
$391$	2.77840	−	2.01863i	0.140510	−	0.102086i
$392$	−3.35032	−	1.08858i	−0.169216	−	0.0549818i
$393$	−9.30439	−	5.37189i	−0.469344	−	0.270976i
$394$	−13.4691	+	2.86295i	−0.678565	+	0.144233i
$395$	−4.37981	−	2.95394i	−0.220372	−	0.148629i
$396$	−0.107295	+	0.119164i	−0.00539179	+	0.00598819i
$397$	−20.7502	−	18.6836i	−1.04142	−	0.937701i	−0.0433070	−	0.999062i	$-0.513789\pi$
$397$	−20.7502	−	18.6836i	−1.04142	−	0.937701i	−0.998116	+	0.0613606i	$0.980456\pi$
$398$	7.16128	−	9.85665i	0.358962	−	0.494069i
$399$	−13.1322	−	3.95592i	−0.657435	−	0.198044i
$400$	−4.95140	−	0.695421i	−0.247570	−	0.0347711i
$401$	−5.65984	−	9.80313i	−0.282639	−	0.489545i	0.689395	−	0.724386i	$-0.257877\pi$
$401$	−5.65984	−	9.80313i	−0.282639	−	0.489545i	−0.972034	+	0.234841i	$0.924543\pi$
$402$	−16.8436	−	1.77033i	−0.840081	−	0.0882960i
$403$	−0.00418973	+	0.0197111i	−0.000208705	+	0.000981882i
$404$	−0.119510	+	0.132730i	−0.00594586	+	0.00660355i
$405$	−6.51525	−	17.8980i	−0.323745	−	0.889358i
$406$	4.62481	−	14.2337i	0.229525	−	0.706407i
$407$			12.0085i			0.595238i
$408$	3.63359	−	3.27170i	0.179889	−	0.161973i
$409$	−3.11786	−	29.6644i	−0.154168	−	1.46681i	−0.748790	−	0.662807i	$-0.769365\pi$
$409$	−3.11786	−	29.6644i	−0.154168	−	1.46681i	0.594622	−	0.804005i	$-0.297302\pi$
$410$	−2.31688	+	5.73521i	−0.114422	+	0.283242i
$411$	16.6923	+	12.1277i	0.823373	+	0.598215i
$412$	−12.8205	+	1.34749i	−0.631623	+	0.0663863i
$413$	−10.8243	+	24.3117i	−0.532628	+	1.19630i
$414$	0.165501	−	0.0736857i	0.00813392	−	0.00362145i
$415$	6.73320	−	38.1959i	0.330520	−	1.87496i
$416$	−0.0648145	−	0.0288573i	−0.00317779	−	0.00141484i
$417$	−0.770274	−	0.250277i	−0.0377205	−	0.0122561i
$418$	1.31888	−	4.37820i	0.0645084	−	0.214145i
$419$	−11.8217	+	36.3834i	−0.577527	+	1.77744i	0.0498826	+	0.998755i	$0.484115\pi$
$419$	−11.8217	+	36.3834i	−0.577527	+	1.77744i	−0.627409	+	0.778690i	$0.715885\pi$
$420$	−4.88765	−	5.06086i	−0.238493	−	0.246944i
$421$	−3.41459	+	3.79229i	−0.166417	+	0.184825i	−0.820585	−	0.571524i	$-0.806352\pi$
$421$	−3.41459	+	3.79229i	−0.166417	+	0.184825i	0.654168	+	0.756349i	$0.273019\pi$
$422$	−1.78924	+	8.41773i	−0.0870991	+	0.409769i
$423$	0.774134	+	0.0813647i	0.0376397	+	0.00395609i
$424$	−1.21828	+	2.11012i	−0.0591649	+	0.102477i
$425$	−6.80315	−	12.7921i	−0.330001	−	0.620508i
$426$	7.94749			0.385057
$427$	−4.86676	−	10.9309i	−0.235519	−	0.528984i
$428$	0.855587	−	4.02522i	0.0413564	−	0.194566i
$429$	−0.0388069	−	0.119435i	−0.00187361	−	0.00576639i
$430$	2.87130	+	4.59458i	0.138466	+	0.221570i
$431$	−15.5652	−	17.2869i	−0.749749	−	0.832681i	0.240694	−	0.970601i	$-0.422625\pi$
$431$	−15.5652	−	17.2869i	−0.749749	−	0.832681i	−0.990443	+	0.137920i	$0.955958\pi$
$432$	4.60723	−	2.65998i	0.221665	−	0.127979i
$433$	−11.1342	+	10.0253i	−0.535077	+	0.481786i	−0.891803	−	0.452423i	$-0.850560\pi$
$433$	−11.1342	+	10.0253i	−0.535077	+	0.481786i	0.356726	+	0.934209i	$0.383893\pi$
$434$	−0.483855	−	0.215426i	−0.0232258	−	0.0103408i
$435$	−21.7820	+	21.0365i	−1.04437	+	1.00862i
$436$	2.95404	+	2.14623i	0.141473	+	0.102786i
$437$	−3.37315	+	3.91276i	−0.161360	+	0.187173i
$438$	−15.7435	−	21.6690i	−0.752253	−	1.03539i
$439$	2.92821	−	27.8601i	0.139756	−	1.32969i	−0.669754	−	0.742583i	$-0.733600\pi$
$439$	2.92821	−	27.8601i	0.139756	−	1.32969i	0.809510	−	0.587106i	$-0.199733\pi$
$440$	1.68725	−	1.62951i	0.0804366	−	0.0776837i
$441$	−0.0562864	−	0.535530i	−0.00268031	−	0.0255014i
$442$	−0.0427443	−	0.201096i	−0.00203314	−	0.00956518i
$443$	−32.2035	−	18.5927i	−1.53003	−	0.883365i	−0.999359	−	0.0357884i	$-0.988606\pi$
$443$	−32.2035	−	18.5927i	−1.53003	−	0.883365i	−0.530673	−	0.847576i	$-0.678061\pi$
$444$	5.96891	−	18.3704i	0.283272	−	0.871821i
$445$	2.34139	+	3.74664i	0.110993	+	0.177608i
$446$	−10.9223	−	2.32161i	−0.517187	−	0.109931i
$447$	6.27280	−	29.5112i	0.296693	−	1.39583i
$448$	1.09607	−	1.50861i	0.0517844	−	0.0712751i
$449$	31.6411			1.49323			0.746617	−	0.665254i	$-0.231677\pi$
$449$	31.6411			1.49323			0.746617	+	0.665254i	$0.231677\pi$
$450$	−0.210734	−	0.734667i	−0.00993408	−	0.0346325i
$451$	−1.45091	−	2.51305i	−0.0683207	−	0.118335i
$452$	0.426243	+	0.957357i	0.0200488	+	0.0450303i
$453$	−4.69016	−	4.22304i	−0.220363	−	0.198416i
$454$	7.34629	−	8.15888i	0.344779	−	0.382915i
$455$	−0.287042	+	0.0715813i	−0.0134567	+	0.00335578i
$456$	−4.19382	+	6.04215i	−0.196393	+	0.282950i
$457$		−	8.65624i		−	0.404922i	−0.979290	−	0.202461i	$-0.935106\pi$
$457$		−	8.65624i		−	0.404922i	0.979290	−	0.202461i	$-0.0648939\pi$
$458$	−2.98742	−	14.0547i	−0.139593	−	0.656733i
$459$	14.0831	+	6.27018i	0.657341	+	0.292667i
$460$	−2.49025	+	0.906505i	−0.116109	+	0.0422660i
$461$	1.11969	−	10.6532i	0.0521493	−	0.496168i	−0.937008	−	0.349308i	$-0.886417\pi$
$461$	1.11969	−	10.6532i	0.0521493	−	0.496168i	0.989157	−	0.146860i	$-0.0469166\pi$
$462$	3.28260	−	0.345015i	0.152720	−	0.0160516i
$463$	8.27520	+	11.3898i	0.384581	+	0.529330i	0.956791	−	0.290777i	$-0.0939137\pi$
$463$	8.27520	+	11.3898i	0.384581	+	0.529330i	−0.572210	+	0.820107i	$0.693914\pi$
$464$	−6.49307	−	4.71749i	−0.301433	−	0.219004i
$465$	0.659815	+	0.844446i	0.0305982	+	0.0391602i
$466$	−0.171755	−	1.63414i	−0.00795638	−	0.0756999i
$467$	19.5774	+	6.36109i	0.905935	+	0.294356i	0.724685	−	0.689081i	$-0.241985\pi$
$467$	19.5774	+	6.36109i	0.905935	+	0.294356i	0.181251	+	0.983437i	$0.441985\pi$
$468$		−	0.0108451i		−	0.000501313i
$469$	−12.5241	−	13.9094i	−0.578308	−	0.642276i
$470$	−11.2138	−	1.97677i	−0.517253	−	0.0911817i
$471$	24.8918	+	5.29092i	1.14696	+	0.243793i
$472$	10.6057	+	9.54943i	0.488168	+	0.439548i
$473$	−2.52782	−	0.265685i	−0.116229	−	0.0122162i
$474$	−3.98646			−0.183104
$475$	14.3675	+	16.3883i	0.659226	+	0.751945i
$476$	5.40352			0.247670
$477$	−0.370409	−	0.0389315i	−0.0169599	−	0.00178255i
$478$	−20.3813	−	18.3514i	−0.932218	−	0.839373i
$479$	5.79098	+	1.23091i	0.264596	+	0.0562417i	0.338299	−	0.941039i	$-0.390148\pi$
$479$	5.79098	+	1.23091i	0.264596	+	0.0562417i	−0.0737030	+	0.997280i	$0.523482\pi$
$480$	−3.39110	+	1.65414i	−0.154782	+	0.0755007i
$481$	−0.543451	−	0.603564i	−0.0247793	−	0.0275201i
$482$			5.96904i			0.271882i
$483$	−3.54658	−	1.15235i	−0.161375	−	0.0524339i
$484$	−1.03479	−	9.84535i	−0.0470358	−	0.447516i
$485$	11.0543	−	16.3903i	0.501951	−	0.744244i
$486$	1.28389	+	0.932803i	0.0582386	+	0.0423128i
$487$	7.92662	+	10.9101i	0.359189	+	0.494382i	0.949923	−	0.312485i	$-0.101161\pi$
$487$	7.92662	+	10.9101i	0.359189	+	0.494382i	−0.590733	+	0.806867i	$0.701161\pi$
$488$	−6.38148	+	0.670721i	−0.288876	+	0.0303621i
$489$	−4.07400	+	38.7615i	−0.184233	+	1.75286i
$490$	0.275259	+	7.87225i	0.0124349	+	0.355632i
$491$	−0.349512	−	0.155613i	−0.0157733	−	0.00702271i	0.398835	−	0.917023i	$-0.369415\pi$
$491$	−0.349512	−	0.155613i	−0.0157733	−	0.00702271i	−0.414608	+	0.910000i	$0.636081\pi$
$492$	0.970452	+	4.56562i	0.0437513	+	0.205834i
$493$		−	23.2568i		−	1.04743i
$494$	0.131850	+	0.279741i	0.00593219	+	0.0125862i
$495$	0.332452	+	0.134302i	0.0149426	+	0.00603642i
$496$	−0.190054	+	0.211076i	−0.00853366	+	0.00947759i
$497$	6.52706	+	5.87699i	0.292779	+	0.263619i
$498$	−11.9041	−	26.7369i	−0.533433	−	1.19811i
$499$	0.645727	+	1.11843i	0.0289067	+	0.0500679i	0.880117	−	0.474757i	$-0.157464\pi$
$499$	0.645727	+	1.11843i	0.0289067	+	0.0500679i	−0.851210	+	0.524825i	$0.824131\pi$
$500$	2.32599	+	10.9357i	0.104022	+	0.489060i
$501$	2.08973			0.0933621
$502$	10.7187	−	14.7530i	0.478398	−	0.658458i
$503$	2.56146	−	12.0507i	0.114210	−	0.537314i	−0.883425	−	0.468573i	$-0.844768\pi$
$503$	2.56146	−	12.0507i	0.114210	−	0.537314i	0.997635	−	0.0687414i	$-0.0218983\pi$
$504$	0.278813	+	0.0592636i	0.0124193	+	0.00263981i
$505$	0.370300	+	0.149591i	0.0164781	+	0.00665673i
$506$	0.384187	−	1.18241i	0.0170792	−	0.0525643i
$507$	−18.9894	−	10.9635i	−0.843347	−	0.486907i
$508$	−2.85575	−	13.4352i	−0.126703	−	0.596093i
$509$	−3.67732	−	34.9874i	−0.162994	−	1.55079i	−0.704263	−	0.709939i	$-0.748722\pi$
$509$	−3.67732	−	34.9874i	−0.162994	−	1.55079i	0.541269	−	0.840850i	$-0.317944\pi$
$510$	−9.65367	−	5.13239i	−0.427472	−	0.227266i
$511$	3.09408	−	29.4382i	0.136874	−	1.30227i
$512$	−0.587785	−	0.809017i	−0.0259767	−	0.0357538i
$513$	−22.7812	−	4.33102i	−1.00581	−	0.191219i
$514$	7.93601	+	5.76585i	0.350042	+	0.254321i
$515$	12.6374	+	25.9076i	0.556872	+	1.14163i
$516$	3.73497	+	1.66291i	0.164423	+	0.0732057i
$517$	3.96977	−	3.57440i	0.174590	−	0.157202i
$518$	18.4866	−	10.6733i	0.812256	−	0.468956i
$519$	−1.03809	−	1.15292i	−0.0455673	−	0.0506076i
$520$	−0.0110594	+	0.158259i	−0.000484988	+	0.00694013i
$521$	−4.31106	−	13.2681i	−0.188871	−	0.581285i	0.811123	−	0.584876i	$-0.198857\pi$
$521$	−4.31106	−	13.2681i	−0.188871	−	0.581285i	−0.999994	+	0.00359100i	$0.998857\pi$
$522$	0.255071	−	1.20001i	0.0111642	−	0.0525232i
$523$	3.46382	+	7.77987i	0.151462	+	0.340190i	0.973302	−	0.229529i	$-0.0737186\pi$
$523$	3.46382	+	7.77987i	0.151462	+	0.340190i	−0.821839	+	0.569719i	$0.807052\pi$
$524$	−6.36726			−0.278155
$525$	−6.89534	+	14.1408i	−0.300937	+	0.617154i
$526$	3.72313	−	6.44864i	0.162336	−	0.281174i
$527$	−0.818535	−	0.0860315i	−0.0356560	−	0.00374759i
$528$	0.368013	−	1.73137i	0.0160157	−	0.0753480i
$529$	14.4501	−	16.0485i	0.628266	−	0.697761i
$530$	5.36559	+	0.945849i	0.233066	+	0.0410851i
$531$	−0.674122	+	2.07473i	−0.0292544	+	0.0900358i
$532$	−7.91231	+	1.86102i	−0.343042	+	0.0806856i
$533$	0.186655	+	0.0606478i	0.00808491	+	0.00262695i
$534$	3.04567	+	1.35602i	0.131799	+	0.0586808i
$535$	−9.11214	+	1.28104i	−0.393952	+	0.0553844i
$536$	−9.16949	+	4.08252i	−0.396062	+	0.176338i
$537$	−2.94906	+	6.62369i	−0.127261	+	0.285833i
$538$	−17.6451	+	1.85457i	−0.760733	+	0.0799563i
$539$	−2.98963	−	2.17209i	−0.128772	−	0.0935586i
$540$	−9.11306	−	7.64607i	−0.392164	−	0.329034i
$541$	−0.0974757	−	0.927419i	−0.00419081	−	0.0398729i	0.992227	−	0.124444i	$-0.0397147\pi$
$541$	−0.0974757	−	0.927419i	−0.00419081	−	0.0398729i	−0.996417	+	0.0845710i	$0.973048\pi$
$542$	−1.84948	+	1.66528i	−0.0794418	+	0.0715297i
$543$			27.0600i			1.16126i
$544$	0.895447	−	2.75590i	0.0383920	−	0.118158i
$545$	2.25016	−	7.84857i	0.0963862	−	0.336196i
$546$	−0.149375	+	0.165897i	−0.00639264	+	0.00709975i
$547$	−6.43015	+	30.2515i	−0.274933	+	1.29346i	0.596368	+	0.802711i	$0.296610\pi$
$547$	−6.43015	+	30.2515i	−0.274933	+	1.29346i	−0.871301	+	0.490748i	$0.836724\pi$
$548$	12.1610	+	1.27817i	0.519493	+	0.0546009i
$549$	−0.490419	−	0.849430i	−0.0209306	−	0.0362528i
$550$	−4.71443	−	2.29886i	−0.201024	−	0.0980236i
$551$	8.00986	+	34.0547i	0.341232	+	1.45078i
$552$	−1.17545	+	1.61786i	−0.0500304	+	0.0688609i
$553$	−3.27398	−	2.94790i	−0.139224	−	0.125358i
$554$	5.87159	−	6.52106i	0.249460	−	0.277053i
$555$	−43.1650	+	1.50929i	−1.83225	+	0.0640660i
$556$	−0.469503	+	0.0997960i	−0.0199114	+	0.00423229i
$557$	29.2310	+	16.8765i	1.23856	+	0.715080i	0.968799	−	0.247848i	$-0.0797234\pi$
$557$	29.2310	+	16.8765i	1.23856	+	0.715080i	0.269757	+	0.962929i	$0.413057\pi$
$558$	−0.0412916	−	0.0134164i	−0.00174801	−	0.000567964i
$559$	0.139076	−	0.101045i	0.00588228	−	0.00427373i
$560$	−4.00822	−	1.14914i	−0.169378	−	0.0485602i
$561$	4.68568	−	2.08620i	0.197829	−	0.0880793i
$562$	−6.48370	−	8.92405i	−0.273498	−	0.376438i
$563$	23.2122	+	31.9489i	0.978279	+	1.34649i	0.937752	+	0.347307i	$0.112904\pi$
$563$	23.2122	+	31.9489i	0.978279	+	1.34649i	0.0405273	+	0.999178i	$0.487096\pi$
$564$	−7.84958	+	3.49486i	−0.330527	+	0.147160i
$565$	1.68556	−	1.62787i	0.0709120	−	0.0684851i
$566$	−1.15664	−	11.0047i	−0.0486172	−	0.462562i
$567$	−3.30247	−	15.5369i	−0.138691	−	0.652488i
$568$	4.07902	−	2.35502i	0.171152	−	0.0988146i
$569$	3.89811	−	11.9972i	0.163417	−	0.502947i	−0.835499	−	0.549492i	$-0.814821\pi$
$569$	3.89811	−	11.9972i	0.163417	−	0.502947i	0.998916	+	0.0465453i	$0.0148212\pi$
$570$	15.9034	+	4.19049i	0.666120	+	0.175520i
$571$	6.57651	+	20.2404i	0.275218	+	0.847035i	0.989162	+	0.146831i	$0.0469074\pi$
$571$	6.57651	+	20.2404i	0.275218	+	0.847035i	−0.713943	+	0.700204i	$0.753093\pi$
$572$	−0.0553090	−	0.0498004i	−0.00231258	−	0.00208226i
$573$	−34.4765	−	3.62362i	−1.44027	−	0.151379i
$574$	−2.57917	+	4.46725i	−0.107652	+	0.186459i
$575$	3.80946	+	4.53912i	0.158866	+	0.189294i
$576$	0.0764293	−	0.132379i	0.00318455	−	0.00551581i
$577$	−22.7928	+	31.3716i	−0.948876	+	1.30602i	0.00314913	+	0.999995i	$0.498998\pi$
$577$	−22.7928	+	31.3716i	−0.948876	+	1.30602i	−0.952025	+	0.306020i	$0.901002\pi$
$578$	−8.18210	+	2.65853i	−0.340331	+	0.110580i
$579$	25.4879	+	5.41762i	1.05924	+	0.225149i
$580$	−4.94592	+	17.2514i	−0.205368	+	0.716326i
$581$	9.99490	−	30.7611i	0.414658	−	1.27619i
$582$		−	14.9183i		−	0.618382i
$583$	−1.89946	+	1.71028i	−0.0786677	+	0.0708327i
$584$	−14.5013	−	6.45641i	−0.600069	−	0.267168i
$585$	−0.0227874	+	0.00829511i	−0.000942145	+	0.000342960i
$586$	−1.45091	+	13.8045i	−0.0599365	+	0.570257i
$587$	10.1151	−	22.7188i	0.417493	−	0.937705i	−0.575309	−	0.817936i	$-0.695118\pi$
$587$	10.1151	−	22.7188i	0.417493	−	0.937705i	0.992802	−	0.119768i	$-0.0382152\pi$
$588$	3.49384	+	4.80885i	0.144083	+	0.198314i
$589$	1.22820	−	0.155936i	0.0506072	−	0.00642525i
$590$	11.9530	−	29.5887i	0.492099	−	1.21815i
$591$	21.2261	+	9.45046i	0.873124	+	0.388740i
$592$	−2.38005	−	11.1973i	−0.0978196	−	0.460205i
$593$	9.50041	+	5.48506i	0.390135	+	0.225245i	0.682219	−	0.731148i	$-0.261015\pi$
$593$	9.50041	+	5.48506i	0.390135	+	0.225245i	−0.292084	+	0.956393i	$0.594349\pi$
$594$	5.45875	−	1.16029i	0.223975	−	0.0476074i
$595$	−4.13302	−	11.3538i	−0.169437	−	0.465460i
$596$	−5.52536	−	17.0053i	−0.226327	−	0.696564i
$597$	−19.5516	+	6.35270i	−0.800194	+	0.259999i
$598$	0.0342007	+	0.0768161i	0.00139857	+	0.00314124i
$599$	−2.69126	+	4.66140i	−0.109962	+	0.190460i	−0.915755	−	0.401738i	$-0.868406\pi$
$599$	−2.69126	+	4.66140i	−0.109962	+	0.190460i	0.805793	+	0.592198i	$0.201740\pi$
$600$	6.06941	+	5.86011i	0.247782	+	0.239238i
$601$	23.0162			0.938850			0.469425	−	0.882972i	$-0.344461\pi$
$601$	23.0162			0.938850			0.469425	+	0.882972i	$0.344461\pi$
$602$	1.83774	+	4.12764i	0.0749008	+	0.168230i
$603$	−1.14019	−	1.02663i	−0.0464323	−	0.0418078i
$604$	−3.65860	−	0.777658i	−0.148866	−	0.0316425i
$605$	−19.8954	+	9.70473i	−0.808862	+	0.394553i
$606$	0.294784	−	0.0626582i	0.0119748	−	0.00254532i
$607$		−	19.5250i		−	0.792494i	−0.918144	−	0.396247i	$-0.870312\pi$
$607$		−	19.5250i		−	0.792494i	0.918144	−	0.396247i	$-0.129688\pi$
$608$	−0.362034	+	4.34384i	−0.0146824	+	0.176166i
$609$	−20.4303	+	14.8434i	−0.827876	+	0.601487i
$610$	6.29034	+	12.8956i	0.254688	+	0.522129i
$611$	−0.0377649	+	0.359309i	−0.00152780	+	0.0145361i
$612$	0.440516	−	0.0463001i	0.0178068	−	0.00187157i
$613$	16.5267	−	37.1195i	0.667506	−	1.49924i	−0.188389	−	0.982095i	$-0.560327\pi$
$613$	16.5267	−	37.1195i	0.667506	−	1.49924i	0.855895	−	0.517149i	$-0.173007\pi$
$614$	−20.9066	+	9.30823i	−0.843722	+	0.375649i
$615$	8.85092	−	5.53122i	0.356903	−	0.223040i
$616$	1.58255	−	1.14979i	0.0637627	−	0.0463263i
$617$	17.6330	−	15.8768i	0.709877	−	0.639176i	−0.232938	−	0.972492i	$-0.574834\pi$
$617$	17.6330	−	15.8768i	0.709877	−	0.639176i	0.942815	+	0.333315i	$0.108167\pi$
$618$	18.8377	+	10.8759i	0.757763	+	0.437494i
$619$	5.91477	−	18.2038i	0.237735	−	0.731673i	−0.759012	−	0.651077i	$-0.774318\pi$
$619$	5.91477	−	18.2038i	0.237735	−	0.731673i	0.996747	−	0.0805960i	$-0.0256824\pi$
$620$	0.588876	+	0.237891i	0.0236498	+	0.00955392i
$621$	−6.16728	−	1.31090i	−0.247484	−	0.0526044i
$622$	16.3276	+	14.7014i	0.654676	+	0.589473i
$623$	1.49858	+	3.36588i	0.0600395	+	0.134851i
$624$	0.0598572	+	0.103676i	0.00239621	+	0.00415035i
$625$	21.1988	−	13.2518i	0.847953	−	0.530071i
$626$	16.4235			0.656414
$627$	−6.14268	+	4.66859i	−0.245315	+	0.186445i
$628$	14.3435	−	4.66048i	0.572367	−	0.185973i
$629$	22.1961	−	24.6513i	0.885016	−	0.982910i
$630$	−0.0887336	−	0.631167i	−0.00353523	−	0.0251463i
$631$	2.45160	+	2.72277i	0.0975965	+	0.108392i	0.789964	−	0.613153i	$-0.210099\pi$
$631$	2.45160	+	2.72277i	0.0975965	+	0.108392i	−0.692368	+	0.721545i	$0.743432\pi$
$632$	−2.04604	+	1.18128i	−0.0813870	+	0.0469888i
$633$	10.7912	−	9.71642i	0.428911	−	0.386193i
$634$	−7.56604	+	5.49705i	−0.300486	+	0.218316i
$635$	−26.0456	+	16.2767i	−1.03359	+	0.645922i
$636$	3.75588	−	1.67223i	0.148930	−	0.0663081i
$637$	0.248563	−	0.0261250i	0.00984841	−	0.00103511i
$638$	−4.94870	−	6.81130i	−0.195921	−	0.269662i
$639$	0.582469	+	0.423188i	0.0230421	+	0.0167411i
$640$	−1.25031	+	1.85384i	−0.0494228	+	0.0732795i
$641$	8.92457	+	3.97347i	0.352499	+	0.156943i	0.575345	−	0.817911i	$-0.304868\pi$
$641$	8.92457	+	3.97347i	0.352499	+	0.156943i	−0.222846	+	0.974854i	$0.571535\pi$
$642$	−5.16016	+	4.64623i	−0.203655	+	0.183372i
$643$	10.3322	−	5.96530i	0.407462	−	0.235249i	−0.282236	−	0.959345i	$-0.591076\pi$
$643$	10.3322	−	5.96530i	0.407462	−	0.235249i	0.689699	+	0.724096i	$0.257743\pi$
$644$	−2.16174	+	0.459492i	−0.0851845	+	0.0181065i
$645$	0.637305	−	9.11977i	0.0250939	−	0.359091i
$646$	−10.7999	+	6.54989i	−0.424918	+	0.257702i
$647$	6.21396	−	2.01904i	0.244296	−	0.0793766i	−0.184310	−	0.982868i	$-0.559005\pi$
$647$	6.21396	−	2.01904i	0.244296	−	0.0793766i	0.428606	+	0.903492i	$0.359005\pi$
$648$	−8.47140	−	0.890380i	−0.332788	−	0.0349774i
$649$	7.48542	+	12.9651i	0.293829	+	0.508926i
$650$	0.340991	−	0.0978106i	0.0133748	−	0.00383645i
$651$	0.446847	+	0.773962i	0.0175133	+	0.0303340i
$652$	9.39497	+	21.1014i	0.367935	+	0.826396i
$653$	−21.6356	+	7.02982i	−0.846665	+	0.275098i	−0.700049	−	0.714095i	$-0.746838\pi$
$653$	−21.6356	+	7.02982i	−0.846665	+	0.275098i	−0.146617	+	0.989193i	$0.546838\pi$
$654$	−1.90390	−	5.85961i	−0.0744485	−	0.229129i
$655$	4.87016	+	13.3788i	0.190293	+	0.522752i
$656$	1.85098	+	2.05572i	0.0722686	+	0.0802624i
$657$		−	2.42643i		−	0.0946640i
$658$	−9.03103	−	2.93436i	−0.352066	−	0.114393i
$659$	−4.08340	−	38.8510i	−0.159067	−	1.51342i	−0.724874	−	0.688881i	$-0.758102\pi$
$659$	−4.08340	−	38.8510i	−0.159067	−	1.51342i	0.565807	−	0.824538i	$-0.308565\pi$
$660$	−3.91940	+	0.551015i	−0.152562	+	0.0214482i
$661$	36.3033	−	16.1633i	1.41204	−	0.628679i	0.447899	−	0.894084i	$-0.352172\pi$
$661$	36.3033	−	16.1633i	1.41204	−	0.628679i	0.964137	+	0.265405i	$0.0855057\pi$
$662$	−0.638482	+	1.43405i	−0.0248153	+	0.0557361i
$663$	−0.141097	+	0.316909i	−0.00547975	+	0.0123077i
$664$	−14.0325	−	10.1952i	−0.544566	−	0.395650i
$665$	9.96228	+	15.2018i	0.386321	+	0.589499i
$666$	1.41565	−	1.02853i	0.0548552	−	0.0398547i
$667$	1.97766	+	9.30415i	0.0765752	+	0.360258i
$668$	1.07254	−	0.619234i	0.0414980	−	0.0239589i
$669$	12.6074	+	14.0019i	0.487430	+	0.541346i
$670$	15.5916	+	16.1442i	0.602357	+	0.623703i
$671$	−6.58402	−	1.39948i	−0.254173	−	0.0540262i
$672$	−2.99247	+	0.972313i	−0.115437	+	0.0375078i
$673$	−9.00186	+	12.3900i	−0.346996	+	0.477599i	−0.946468	−	0.322796i	$-0.895377\pi$
$673$	−9.00186	+	12.3900i	−0.346996	+	0.477599i	0.599472	+	0.800395i	$0.295377\pi$
$674$	16.6809	−	28.8921i	0.642523	−	1.11288i
$675$	−9.09544	+	24.9965i	−0.350084	+	0.962115i
$676$	−12.9950			−0.499806
$677$	−6.03274	+	8.30335i	−0.231857	+	0.319124i	−0.909054	−	0.416678i	$-0.863194\pi$
$677$	−6.03274	+	8.30335i	−0.231857	+	0.319124i	0.677197	+	0.735801i	$0.263194\pi$
$678$	0.367644	−	1.72963i	0.0141193	−	0.0664260i
$679$	11.0317	−	12.2520i	0.423360	−	0.470188i
$680$	−6.47556	+	0.226422i	−0.248326	+	0.00868290i
$681$	−18.1203	+	3.85160i	−0.694373	+	0.147593i
$682$	−0.258033	+	0.148976i	−0.00988061	+	0.00570457i
$683$	40.9026	+	13.2901i	1.56509	+	0.508530i	0.958163	−	0.286225i	$-0.0924004\pi$
$683$	40.9026	+	13.2901i	1.56509	+	0.508530i	0.606931	+	0.794754i	$0.292400\pi$
$684$	−0.629097	+	0.219515i	−0.0240541	+	0.00839335i
$685$	−6.61597	−	26.5301i	−0.252783	−	1.01366i
$686$	−2.05108	+	19.5147i	−0.0783105	+	0.745075i
$687$	−9.86131	+	22.1489i	−0.376233	+	0.845032i
$688$	2.40972	−	0.253272i	0.0918697	−	0.00965589i
$689$	0.0180698	−	0.171923i	0.000688405	−	0.00654974i
$690$	4.29850	+	1.23237i	0.163641	+	0.0469154i
$691$	−27.6537	+	20.0916i	−1.05200	+	0.764321i	−0.972591	−	0.232521i	$-0.925302\pi$
$691$	−27.6537	+	20.0916i	−1.05200	+	0.764321i	−0.0794063	+	0.996842i	$0.525302\pi$
$692$	−0.874436	−	0.284121i	−0.0332411	−	0.0108007i
$693$	0.258952	+	0.149506i	0.00983678	+	0.00567927i
$694$	1.03811	+	1.15294i	0.0394062	+	0.0437650i
$695$	0.568801	+	0.910180i	0.0215758	+	0.0345251i
$696$	4.18484	+	12.8796i	0.158626	+	0.488201i
$697$	−1.66658	+	7.84066i	−0.0631263	+	0.296986i
$698$	−24.3420	−	2.55845i	−0.921358	−	0.0968386i
$699$	−1.38627	+	2.40109i	−0.0524336	+	0.0908177i
$700$	0.651224	+	9.30095i	0.0246140	+	0.351543i
$701$	10.9049	+	18.8879i	0.411873	+	0.713384i	0.995095	−	0.0989285i	$-0.0315415\pi$
$701$	10.9049	+	18.8879i	0.411873	+	0.713384i	−0.583222	+	0.812313i	$0.698208\pi$
$702$	−0.221855	+	0.305358i	−0.00837339	+	0.0115250i
$703$	−24.0114	+	43.7411i	−0.905605	+	1.64973i
$704$	−0.324162	−	0.997669i	−0.0122173	−	0.0376011i
$705$	13.3473	+	13.8203i	0.502688	+	0.520501i
$706$	−0.418890	+	0.0890378i	−0.0157651	+	0.00335098i
$707$	0.288433	+	0.166527i	0.0108476	+	0.00626288i
$708$	−5.00668	−	23.5546i	−0.188163	−	0.885235i
$709$	0.399854	+	3.80436i	0.0150168	+	0.142876i	0.999461	−	0.0328206i	$-0.0104490\pi$
$709$	0.399854	+	3.80436i	0.0150168	+	0.142876i	−0.984444	+	0.175696i	$0.943782\pi$
$710$	−8.06827	−	6.76947i	−0.302797	−	0.254054i
$711$	−0.292167	−	0.212271i	−0.0109571	−	0.00796080i
$712$	1.96500	−	0.206530i	0.0736416	−	0.00774004i
$713$	0.334780	−	0.0351868i	0.0125376	−	0.00131776i
$714$	−7.37631	−	5.35920i	−0.276051	−	0.200563i
$715$	−0.0623353	+	0.154305i	−0.00233121	+	0.00577069i
$716$	0.449159	+	4.27346i	0.0167858	+	0.159707i
$717$	9.62147	+	45.2655i	0.359320	+	1.69047i
$718$	15.7151	+	9.07311i	0.586482	+	0.338606i
$719$	40.9739	−	8.70926i	1.52807	−	0.324801i	0.634213	−	0.773158i	$-0.281324\pi$
$719$	40.9739	−	8.70926i	1.52807	−	0.324801i	0.893854	+	0.448358i	$0.147991\pi$
$720$	−0.336612	−	0.0593382i	−0.0125448	−	0.00221141i
$721$	7.42837	+	22.8622i	0.276647	+	0.851432i
$722$	13.5584	−	13.3105i	0.504591	−	0.495367i
$723$	5.92008	−	8.14830i	0.220170	−	0.303038i
$724$	8.01851	+	13.8885i	0.298005	+	0.516161i
$725$	40.0314	−	2.80287i	1.48673	−	0.104096i
$726$	−8.35201	+	14.4661i	−0.309972	+	0.536888i
$727$	−10.2042	−	1.07250i	−0.378452	−	0.0397770i	−0.0866073	−	0.996243i	$-0.527603\pi$
$727$	−10.2042	−	1.07250i	−0.378452	−	0.0397770i	−0.291845	+	0.956466i	$0.594269\pi$
$728$	−0.0275068	+	0.129409i	−0.00101947	+	0.00479623i
$729$	−8.72416	−	26.8502i	−0.323117	−	0.994452i
$730$	−2.47439	+	35.4083i	−0.0915813	+	1.31052i
$731$	4.69808	+	5.21775i	0.173765	+	0.192985i
$732$	9.37653	+	5.41354i	0.346567	+	0.200090i
$733$	14.8039	+	4.81006i	0.546793	+	0.177664i	0.569370	−	0.822081i	$-0.307187\pi$
$733$	14.8039	+	4.81006i	0.546793	+	0.177664i	−0.0225772	+	0.999745i	$0.507187\pi$
$734$	−0.902117	+	0.655426i	−0.0332977	+	0.0241922i
$735$	7.43193	−	11.0194i	0.274131	−	0.406455i
$736$	−0.123884	+	1.17868i	−0.00456642	+	0.0434466i
$737$	−10.4715	+	1.10060i	−0.385723	+	0.0405411i
$738$	−0.171986	+	0.386287i	−0.00633090	+	0.0142194i
$739$	−0.0649324	+	0.617790i	−0.00238858	+	0.0227258i	−0.995651	−	0.0931587i	$-0.970304\pi$
$739$	−0.0649324	+	0.617790i	−0.00238858	+	0.0227258i	0.993263	+	0.115885i	$0.0369703\pi$
$740$	−21.7071	+	13.5654i	−0.797968	+	0.498675i
$741$	0.0974602	−	0.512641i	0.00358029	−	0.0188323i
$742$	4.32118	+	1.40404i	0.158636	+	0.0515438i
$743$	−15.8556	+	9.15425i	−0.581687	+	0.335837i	−0.761803	−	0.647808i	$-0.775686\pi$
$743$	−15.8556	+	9.15425i	−0.581687	+	0.335837i	0.180117	+	0.983645i	$0.442352\pi$
$744$	0.468786	−	0.0996435i	0.0171865	−	0.00365311i
$745$	−31.5050	+	24.6167i	−1.15426	+	0.901886i
$746$	−10.6016	+	11.7743i	−0.388153	+	0.431087i
$747$	0.551246	−	2.59341i	0.0201691	−	0.0948879i
$748$	1.78672	−	2.45921i	0.0653289	−	0.0899176i
$749$	−7.67370			−0.280391
$750$	7.67082	−	17.2352i	0.280099	−	0.629340i
$751$	15.0298	−	26.0324i	0.548445	−	0.949935i	−0.449936	−	0.893061i	$-0.648553\pi$
$751$	15.0298	−	26.0324i	0.548445	−	0.949935i	0.998381	−	0.0568742i	$-0.0181134\pi$
$752$	−2.99316	+	4.11974i	−0.109149	+	0.150231i
$753$	−29.2639	+	9.50843i	−1.06644	+	0.346507i
$754$	0.556979	+	0.118390i	0.0202840	+	0.00431149i
$755$	1.16436	+	8.28219i	0.0423756	+	0.301420i
$756$	−6.63803	−	7.37228i	−0.241423	−	0.268127i
$757$	−6.84484	+	3.95187i	−0.248780	+	0.143633i	−0.619206	−	0.785229i	$-0.712545\pi$
$757$	−6.84484	+	3.95187i	−0.248780	+	0.143633i	0.370425	+	0.928862i	$0.379212\pi$
$758$	−1.67939	−	7.90091i	−0.0609982	−	0.286974i
$759$	−1.69716	+	1.23306i	−0.0616029	+	0.0447571i
$760$	9.40411	−	2.56179i	0.341123	−	0.0929260i
$761$	−8.52455	−	6.19345i	−0.309015	−	0.224512i	0.422459	−	0.906382i	$-0.361167\pi$
$761$	−8.52455	−	6.19345i	−0.309015	−	0.224512i	−0.731474	+	0.681870i	$0.761167\pi$
$762$	−9.42669	+	21.1727i	−0.341493	+	0.767005i
$763$	2.76943	−	6.22024i	0.100260	−	0.225188i
$764$	−18.7687	+	8.35636i	−0.679027	+	0.302322i
$765$	−0.434225	−	0.890191i	−0.0156994	−	0.0321849i
$766$	−3.08687	−	29.3696i	−0.111533	−	1.06117i
$767$	−0.962974	−	0.312889i	−0.0347710	−	0.0112978i
$768$			1.68735i			0.0608869i
$769$	−7.83953	−	8.70668i	−0.282701	−	0.313971i	0.585024	−	0.811016i	$-0.301085\pi$
$769$	−7.83953	−	8.70668i	−0.282701	−	0.313971i	−0.867725	+	0.497045i	$0.834418\pi$
$770$	−3.62637	−	2.44578i	−0.130685	−	0.0881397i
$771$	−5.11483	−	15.7418i	−0.184206	−	0.566928i
$772$	14.6869	−	4.77208i	0.528595	−	0.171751i
$773$	5.48377	+	12.3167i	0.197237	+	0.443002i	0.984904	−	0.173099i	$-0.0553779\pi$
$773$	5.48377	+	12.3167i	0.197237	+	0.443002i	−0.787667	+	0.616101i	$0.788711\pi$
$774$	0.185188	+	0.320754i	0.00665643	+	0.0115293i
$775$	0.0494353	−	1.41929i	0.00177577	−	0.0509825i
$776$	−4.42063	−	7.65676i	−0.158691	−	0.274861i
$777$	−35.8217	−	3.76501i	−1.28510	−	0.135069i
$778$	8.29157	−	2.69409i	0.297267	−	0.0965880i
$779$	−0.260038	−	12.0550i	−0.00931683	−	0.431914i
$780$	0.172058	−	0.205070i	0.00616068	−	0.00734268i
$781$	4.83292	−	1.02727i	0.172935	−	0.0367586i
$782$	−2.97419	+	1.71715i	−0.106357	+	0.0614051i
$783$	−31.7303	+	28.5701i	−1.13395	+	1.02101i
$784$	3.21817	+	1.43282i	0.114935	+	0.0511723i
$785$	−20.7635	−	26.5736i	−0.741080	−	0.948452i
$786$	8.69191	+	6.31504i	0.310030	+	0.225250i
$787$	−17.5715	−	24.1852i	−0.626358	−	0.862108i	0.371439	−	0.928458i	$-0.378865\pi$
$787$	−17.5715	−	24.1852i	−0.626358	−	0.862108i	−0.997796	+	0.0663498i	$0.978865\pi$
$788$	13.6946	−	1.43936i	0.487850	−	0.0512751i
$789$	−11.4782	+	5.11041i	−0.408633	+	0.181935i
$790$	4.04705	+	3.39557i	0.143988	+	0.120809i
$791$	1.58096	−	1.14863i	0.0562124	−	0.0408407i
$792$	0.119164	−	0.107295i	0.00423429	−	0.00381257i
$793$	0.394257	−	0.227625i	0.0140005	−	0.00808318i
$794$	18.6836	+	20.7502i	0.663055	+	0.736397i
$795$	−6.38643	−	6.61275i	−0.226503	−	0.234530i
$796$	−8.15235	+	9.05410i	−0.288952	+	0.320914i
$797$	−35.1010	+	11.4050i	−1.24334	+	0.403986i	−0.855530	−	0.517752i	$-0.826769\pi$
$797$	−35.1010	+	11.4050i	−1.24334	+	0.403986i	−0.387811	+	0.921739i	$0.626769\pi$
$798$	12.6468	+	5.30695i	0.447692	+	0.187864i
$799$	−14.7560			−0.522031
$800$	4.85159	+	1.20917i	0.171530	+	0.0427508i
$801$	0.151011	+	0.261559i	0.00533571	+	0.00924172i
$802$	4.60413	+	10.3410i	0.162577	+	0.365155i
$803$	−12.3746	−	11.1421i	−0.436690	−	0.393197i
$804$	16.5662	+	3.52126i	0.584246	+	0.124185i
$805$	2.61894	+	4.19076i	0.0923054	+	0.147705i
$806$	0.00622716	−	0.0191652i	0.000219342	−	0.000675066i
$807$	25.9265	+	14.9687i	0.912657	+	0.526923i
$808$	0.132730	−	0.119510i	0.00466942	−	0.00420436i
$809$	36.9725	−	26.8621i	1.29988	−	0.944420i	0.299928	−	0.953962i	$-0.403037\pi$
$809$	36.9725	−	26.8621i	1.29988	−	0.944420i	0.999954	+	0.00954193i	$0.00303734\pi$
$810$	4.60871	+	18.4810i	0.161933	+	0.649355i
$811$	−20.0009	+	8.90495i	−0.702325	+	0.312695i	−0.726649	−	0.687009i	$-0.758923\pi$
$811$	−20.0009	+	8.90495i	−0.702325	+	0.312695i	0.0243240	+	0.999704i	$0.492257\pi$
$812$	−6.08730	+	13.6723i	−0.213622	+	0.479804i
$813$	4.17632	−	0.438949i	0.146470	−	0.0153946i
$814$	1.25523	−	11.9427i	0.0439957	−	0.418591i
$815$	37.1520	−	35.8805i	1.30138	−	1.25684i
$816$	−3.95567	+	2.87396i	−0.138476	+	0.100609i
$817$	−8.67639	−	6.02223i	−0.303549	−	0.210691i
$818$			29.8278i			1.04291i
$819$	−0.0197813	+	0.00420465i	−0.000691215	+	0.000146922i
$820$	2.90368	−	5.46161i	0.101401	−	0.190728i
$821$	−1.71863	−	0.365306i	−0.0599806	−	0.0127493i	0.177824	−	0.984062i	$-0.443094\pi$
$821$	−1.71863	−	0.365306i	−0.0599806	−	0.0127493i	−0.237804	+	0.971313i	$0.576428\pi$
$822$	−15.3332	−	13.8061i	−0.534807	−	0.481543i
$823$	9.00722	+	20.2306i	0.313972	+	0.705193i	0.999744	−	0.0226237i	$-0.00720196\pi$
$823$	9.00722	+	20.2306i	0.313972	+	0.705193i	−0.685772	+	0.727816i	$0.740535\pi$
$824$	12.8912			0.449085
$825$	4.15563	+	7.81392i	0.144681	+	0.272046i
$826$	13.3062	−	23.0471i	0.462984	−	0.801911i
$827$	−7.59363	−	17.0556i	−0.264056	−	0.593080i	0.732049	−	0.681252i	$-0.238564\pi$
$827$	−7.59363	−	17.0556i	−0.264056	−	0.593080i	−0.996105	+	0.0881719i	$0.971898\pi$
$828$	−0.172296	+	0.0559825i	−0.00598771	+	0.00194553i
$829$	13.0188	+	40.0676i	0.452160	+	1.39161i	0.874437	+	0.485139i	$0.161231\pi$
$829$	13.0188	+	40.0676i	0.452160	+	1.39161i	−0.422277	+	0.906467i	$0.638769\pi$
$830$	−10.6889	+	37.2829i	−0.371016	+	1.29411i
$831$	−14.4828	+	3.07842i	−0.502404	+	0.106789i
$832$	0.0614430	+	0.0354742i	0.00213015	+	0.00122984i
$833$	2.12234	+	9.98485i	0.0735349	+	0.345954i
$834$	0.739893	+	0.329422i	0.0256204	+	0.0114069i
$835$	−2.12149	−	1.77998i	−0.0734170	−	0.0615986i
$836$	−1.76930	+	4.21635i	−0.0611925	+	0.145826i
$837$	0.888164	+	1.22245i	0.0306994	+	0.0422541i
$838$	15.5600	−	34.9484i	0.537512	−	1.20727i
$839$	−0.605421	+	5.76020i	−0.0209015	+	0.198864i	−0.999990	−	0.00457264i	$-0.998544\pi$
$839$	−0.605421	+	5.76020i	−0.0209015	+	0.198864i	0.979088	+	0.203437i	$0.0652111\pi$
$840$	4.33187	+	5.54403i	0.149464	+	0.191287i
$841$	32.3529	+	14.4044i	1.11562	+	0.496705i
$842$	3.79229	−	3.41459i	0.130691	−	0.117675i
$843$			18.6127i			0.641055i
$844$	2.65934	−	8.18459i	0.0915381	−	0.281725i
$845$	9.93952	+	27.3048i	0.341930	+	0.939313i
$846$	−0.761388	−	0.161838i	−0.0261771	−	0.00556410i
$847$	−17.5567	+	5.70451i	−0.603254	+	0.196009i
$848$	1.43217	−	1.97122i	0.0491811	−	0.0676919i
$849$	−9.33552	+	16.1696i	−0.320394	+	0.554939i
$850$	5.42875	+	13.4331i	0.186204	+	0.460753i
$851$	−6.78356	+	11.7495i	−0.232538	+	0.402767i
$852$	−7.90395	−	0.830738i	−0.270785	−	0.0284606i
$853$	−2.93921	−	2.64647i	−0.100636	−	0.0906135i	0.617277	−	0.786746i	$-0.288236\pi$
$853$	−2.93921	−	2.64647i	−0.100636	−	0.0906135i	−0.717913	+	0.696133i	$0.754903\pi$
$854$	3.69750	+	11.3797i	0.126526	+	0.389407i
$855$	0.942420	+	1.15395i	0.0322301	+	0.0394641i
$856$	−1.27165	+	3.91374i	−0.0434641	+	0.133769i
$857$	33.8291	−	19.5312i	1.15558	−	0.667174i	0.205338	−	0.978691i	$-0.434171\pi$
$857$	33.8291	−	19.5312i	1.15558	−	0.667174i	0.950240	+	0.311517i	$0.100837\pi$
$858$	0.0261099	+	0.122837i	0.000891378	+	0.00419360i
$859$	−4.05489	−	38.5797i	−0.138351	−	1.31632i	−0.814760	−	0.579798i	$-0.803132\pi$
$859$	−4.05489	−	38.5797i	−0.138351	−	1.31632i	0.676409	−	0.736526i	$-0.263535\pi$
$860$	−2.37530	−	4.86954i	−0.0809972	−	0.166050i
$861$	7.95141	−	3.54020i	0.270983	−	0.120650i
$862$	13.6730	+	18.8192i	0.465703	+	0.640985i
$863$	−1.24022	−	1.70701i	−0.0422174	−	0.0581073i	0.787386	−	0.616460i	$-0.211434\pi$
$863$	−1.24022	−	1.70701i	−0.0422174	−	0.0581073i	−0.829604	+	0.558352i	$0.811434\pi$
$864$	−4.86003	+	2.16383i	−0.165342	+	0.0736149i
$865$	0.0718428	+	2.05467i	0.00244273	+	0.0698607i
$866$	12.1212	−	8.80654i	0.411894	−	0.299259i
$867$	13.8060	+	4.48586i	0.468878	+	0.152348i
$868$	0.458686	+	0.264822i	0.0155688	+	0.00898866i
$869$	−2.42420	+	0.515279i	−0.0822352	+	0.0174796i
$870$	23.8616	−	18.6444i	0.808983	−	0.632105i
$871$	0.476506	−	0.529213i	0.0161458	−	0.0179317i
$872$	−2.71351	−	2.44326i	−0.0918911	−	0.0827391i
$873$	0.794370	−	1.09336i	0.0268853	−	0.0370045i
$874$	3.76367	−	3.53874i	0.127308	−	0.119700i
$875$	19.0449	−	8.48240i	0.643835	−	0.286757i
$876$	13.3922	+	23.1960i	0.452481	+	0.783719i
$877$	−51.1979	−	5.38111i	−1.72883	−	0.181707i	−0.812725	−	0.582647i	$-0.802017\pi$
$877$	−51.1979	−	5.38111i	−1.72883	−	0.181707i	−0.916104	+	0.400940i	$0.868684\pi$
$878$	−5.82435	+	27.4014i	−0.196562	+	0.924752i
$879$	15.6719	−	17.4054i	0.528599	−	0.587069i
$880$	−1.84834	+	1.44422i	−0.0623075	+	0.0486845i
$881$	−5.26263	+	16.1967i	−0.177303	+	0.545681i	−0.999731	−	0.0231871i	$-0.992619\pi$
$881$	−5.26263	+	16.1967i	−0.177303	+	0.545681i	0.822429	+	0.568868i	$0.192619\pi$
$882$			0.538480i			0.0181315i
$883$	21.4958	−	19.3549i	0.723392	−	0.651345i	−0.222832	−	0.974857i	$-0.571530\pi$
$883$	21.4958	−	19.3549i	0.723392	−	0.651345i	0.946224	+	0.323512i	$0.104864\pi$
$884$	0.0214899	+	0.204463i	0.000722783	+	0.00687682i
$885$	−45.6630	+	28.5362i	−1.53494	+	0.959235i
$886$	30.0836	+	21.8570i	1.01068	+	0.734300i
$887$	−43.0096	+	4.52049i	−1.44412	+	0.151783i	−0.793939	−	0.607997i	$-0.791973\pi$
$887$	−43.0096	+	4.52049i	−1.44412	+	0.151783i	−0.650180	+	0.759780i	$0.725307\pi$
$888$	−7.85644	+	17.6458i	−0.263645	+	0.592156i
$889$	−23.3986	+	10.4177i	−0.784765	+	0.349400i
$890$	−1.93694	−	3.97086i	−0.0649263	−	0.133103i
$891$	−8.16302	−	3.63441i	−0.273471	−	0.121757i
$892$	10.6198	+	3.45058i	0.355577	+	0.115534i
$893$	21.6071	−	5.08211i	0.723053	−	0.170066i
$894$	−9.32320	+	28.6938i	−0.311814	+	0.959666i
$895$	8.63577	−	4.21242i	0.288662	−	0.140806i
$896$	−1.24776	+	1.38577i	−0.0416846	+	0.0462955i
$897$	0.0294989	−	0.138781i	0.000984939	−	0.00463377i
$898$	−31.4677	−	3.30739i	−1.05009	−	0.110369i
$899$	1.13980	−	1.97419i	0.0380144	−	0.0658428i
$900$	0.132786	+	0.752670i	0.00442619	+	0.0250890i
$901$	7.06049			0.235219
$902$	1.18028	+	2.65094i	0.0392989	+	0.0882668i
$903$	1.58509	−	7.45728i	0.0527486	−	0.248163i
$904$	−0.323837	−	0.996667i	−0.0107707	−	0.0331487i
$905$	23.0490	−	27.4713i	0.766176	−	0.913176i
$906$	4.22304	+	4.69016i	0.140301	+	0.155820i
$907$	−0.275089	+	0.158823i	−0.00913419	+	0.00527363i	−0.504560	−	0.863377i	$-0.668345\pi$
$907$	−0.275089	+	0.158823i	−0.00913419	+	0.00527363i	0.495426	+	0.868650i	$0.335012\pi$
$908$	−8.15888	+	7.34629i	−0.270762	+	0.243795i
$909$	0.0249410	+	0.0111045i	0.000827242	+	0.000368312i
$910$	0.292952	−	0.0411851i	0.00971126	−	0.00136527i
$911$	28.8491	+	20.9601i	0.955813	+	0.694439i	0.952175	−	0.305554i	$-0.0988417\pi$
$911$	28.8491	+	20.9601i	0.955813	+	0.694439i	0.00363876	+	0.999993i	$0.498842\pi$
$912$	4.80242	−	5.57068i	0.159024	−	0.184464i
$913$	−10.6949	−	14.7202i	−0.353949	−	0.487169i
$914$	−0.904824	+	8.60882i	−0.0299289	+	0.284755i
$915$	4.20297	−	23.8425i	0.138946	−	0.788208i
$916$	1.50194	+	14.2900i	0.0496254	+	0.472154i
$917$	2.46860	+	11.6139i	0.0815204	+	0.383523i
$918$	−13.3505	−	7.70791i	−0.440632	−	0.254399i
$919$	−2.08741	+	6.42439i	−0.0688573	+	0.211921i	−0.979564	−	0.201133i	$-0.935538\pi$
$919$	−2.08741	+	6.42439i	−0.0688573	+	0.211921i	0.910707	+	0.413054i	$0.135538\pi$
$920$	2.57137	−	0.641237i	0.0847755	−	0.0211409i
$921$	37.7713	+	8.02855i	1.24461	+	0.264550i
$922$	−2.22712	+	10.4778i	−0.0733463	+	0.345067i
$923$	−0.196420	+	0.270349i	−0.00646525	+	0.00889865i
$924$	−3.30068			−0.108584
$925$	45.1066	+	35.2347i	1.48310	+	1.15851i
$926$	−7.03930	−	12.1924i	−0.231326	−	0.400668i
$927$	0.801485	+	1.80016i	0.0263242	+	0.0591252i
$928$	5.96439	+	5.37036i	0.195791	+	0.176291i
$929$	5.10615	−	5.67095i	0.167527	−	0.186058i	−0.653535	−	0.756896i	$-0.726715\pi$
$929$	5.10615	−	5.67095i	0.167527	−	0.186058i	0.821063	+	0.570838i	$0.193382\pi$
$930$	−0.567931	−	0.908789i	−0.0186232	−	0.0298004i
$931$	−6.54660	−	13.8897i	−0.214556	−	0.455218i
$932$			1.64314i			0.0538228i
$933$	−7.70782	−	36.2624i	−0.252343	−	1.18718i
$934$	−18.8053	−	8.37264i	−0.615327	−	0.273961i
$935$	−6.53386	−	1.87324i	−0.213680	−	0.0612614i
$936$	−0.00113362	+	0.0107856i	−3.70534e−5	+	0.000352540i
$937$	−21.9965	+	2.31192i	−0.718593	+	0.0755272i	−0.456765	−	0.889587i	$-0.650992\pi$
$937$	−21.9965	+	2.31192i	−0.718593	+	0.0755272i	−0.261828	+	0.965115i	$0.584325\pi$
$938$	11.0015	+	15.1423i	0.359213	+	0.494414i
$939$	−22.4196	−	16.2888i	−0.731635	−	0.531564i
$940$	10.9457	+	3.13810i	0.357010	+	0.102354i
$941$	1.34342	+	12.7818i	0.0437942	+	0.416674i	0.994353	+	0.106128i	$0.0338452\pi$
$941$	1.34342	+	12.7818i	0.0437942	+	0.416674i	−0.950558	+	0.310546i	$0.899488\pi$
$942$	−24.2024	−	7.86384i	−0.788558	−	0.256218i
$943$		−	3.27846i		−	0.106761i
$944$	−9.54943	−	10.6057i	−0.310807	−	0.345187i
$945$	−10.4132	+	19.5866i	−0.338743	+	0.637151i
$946$	2.48620	+	0.528459i	0.0808334	+	0.0171817i
$947$	−18.8462	−	16.9692i	−0.612418	−	0.551424i	0.303478	−	0.952838i	$-0.401852\pi$
$947$	−18.8462	−	16.9692i	−0.612418	−	0.551424i	−0.915897	+	0.401414i	$0.868519\pi$
$948$	3.96462	+	0.416699i	0.128765	+	0.0135337i
$949$	1.12621			0.0365583
$950$	−12.5758	−	17.8003i	−0.408011	−	0.577518i
$951$	15.7803			0.511711
$952$	−5.37392	−	0.564822i	−0.174170	−	0.0183060i
$953$	7.24507	+	6.52349i	0.234691	+	0.211317i	0.778081	−	0.628163i	$-0.216193\pi$
$953$	7.24507	+	6.52349i	0.234691	+	0.211317i	−0.543391	+	0.839480i	$0.682860\pi$
$954$	0.364310	+	0.0774365i	0.0117950	+	0.00250710i
$955$	31.9139	+	33.0449i	1.03271	+	1.06931i
$956$	18.3514	+	20.3813i	0.593526	+	0.659178i
$957$			14.2062i			0.459220i
$958$	−5.63059	−	1.82949i	−0.181916	−	0.0591081i
$959$	−2.38347	−	22.6772i	−0.0769662	−	0.732284i
$960$	3.54542	−	1.29061i	0.114428	−	0.0416542i
$961$	25.0143	+	18.1739i	0.806912	+	0.586256i
$962$	0.477385	+	0.657064i	0.0153915	+	0.0211846i
$963$	−0.625590	+	0.0657521i	−0.0201593	+	0.00211883i
$964$	0.623935	−	5.93634i	0.0200956	−	0.191197i
$965$	−21.2607	−	27.2099i	−0.684405	−	0.875918i
$966$	3.40670	+	1.51676i	0.109609	+	0.0488010i
$967$	−11.5538	−	54.3561i	−0.371544	−	1.74798i	−0.624996	−	0.780628i	$-0.714900\pi$
$967$	−11.5538	−	54.3561i	−0.371544	−	1.74798i	0.253453	−	0.967348i	$-0.418434\pi$
$968$			9.89958i			0.318184i
$969$	21.2391	+	1.77016i	0.682298	+	0.0568656i
$970$	−12.7070	+	15.1450i	−0.407998	+	0.486277i
$971$	−3.24108	+	3.59959i	−0.104011	+	0.115516i	−0.792903	−	0.609348i	$-0.791431\pi$
$971$	−3.24108	+	3.59959i	−0.104011	+	0.115516i	0.688891	+	0.724865i	$0.258098\pi$
$972$	−1.17936	−	1.06190i	−0.0378278	−	0.0340603i
$973$	0.364055	+	0.817680i	0.0116711	+	0.0262136i
$974$	−6.74278	−	11.6788i	−0.216053	−	0.374214i
$975$	−0.562492	−	0.204673i	−0.0180142	−	0.00655479i
$976$	6.41663			0.205391
$977$	−20.2056	+	27.8106i	−0.646434	+	0.889740i	−0.998938	−	0.0460704i	$-0.985330\pi$
$977$	−20.2056	+	27.8106i	−0.646434	+	0.889740i	0.352504	+	0.935810i	$0.385330\pi$
$978$	8.10336	−	38.1233i	0.259117	−	1.21905i
$979$	2.02737	+	0.430931i	0.0647950	+	0.0137726i
$980$	0.549124	−	7.85790i	0.0175411	−	0.251011i
$981$	0.172477	−	0.530828i	0.00550675	−	0.0169480i
$982$	0.331332	+	0.191294i	0.0105732	+	0.00610445i
$983$	−11.1974	−	52.6797i	−0.357142	−	1.68022i	−0.679556	−	0.733624i	$-0.737827\pi$
$983$	−11.1974	−	52.6797i	−0.357142	−	1.68022i	0.322413	−	0.946599i	$-0.395506\pi$
$984$	−0.487899	−	4.64205i	−0.0155536	−	0.147983i
$985$	−13.4990	−	27.6739i	−0.430114	−	0.881765i
$986$	−2.43100	+	23.1294i	−0.0774188	+	0.736590i
$987$	9.41790	+	12.9626i	0.299775	+	0.412605i
$988$	−0.101886	−	0.291991i	−0.00324143	−	0.00928947i
$989$	−2.32322	−	1.68792i	−0.0738740	−	0.0536726i
$990$	−0.316592	−	0.168317i	−0.0100620	−	0.00534946i
$991$	−48.3281	−	21.5170i	−1.53519	−	0.683511i	−0.547056	−	0.837096i	$-0.684251\pi$
$991$	−48.3281	−	21.5170i	−1.53519	−	0.683511i	−0.988135	+	0.153585i	$0.950918\pi$
$992$	0.211076	−	0.190054i	0.00670167	−	0.00603421i
$993$	2.29388	−	1.32437i	0.0727941	−	0.0420277i
$994$	−5.87699	−	6.52706i	−0.186407	−	0.207026i
$995$	25.2598	+	10.2043i	0.800791	+	0.323499i
$996$	9.04407	+	27.8348i	0.286572	+	0.881979i
$997$	10.6587	−	50.1455i	0.337566	−	1.58812i	−0.402391	−	0.915468i	$-0.631821\pi$
$997$	10.6587	−	50.1455i	0.337566	−	1.58812i	0.739957	−	0.672655i	$-0.234846\pi$
$998$	−0.525282	−	1.17980i	−0.0166275	−	0.0373460i
$999$	−60.8999			−1.92679

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.x.a.159.19	✓	400
19.11	even	3	inner	950.2.x.a.809.44	yes	400
25.14	even	10	inner	950.2.x.a.539.44	yes	400
475.239	even	30	inner	950.2.x.a.239.19	yes	400

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.x.a.159.19	✓	400	1.1	even	1	trivial
950.2.x.a.239.19	yes	400	475.239	even	30	inner
950.2.x.a.539.44	yes	400	25.14	even	10	inner
950.2.x.a.809.44	yes	400	19.11	even	3	inner

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:	\( N \)	\(=\)	\( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	950.x (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.994522 - 0.104528i) q^{2} +(1.25394 + 1.12906i) q^{3} +(0.978148 + 0.207912i) q^{4} +(-0.311300 - 2.21429i) q^{5} +(-1.12906 - 1.25394i) q^{6} -1.86474i q^{7} +(-0.951057 - 0.309017i) q^{8} +(-0.0159781 - 0.152021i) q^{9} +O(q^{10})\)	\(q+(-0.994522 - 0.104528i) q^{2} +(1.25394 + 1.12906i) q^{3} +(0.978148 + 0.207912i) q^{4} +(-0.311300 - 2.21429i) q^{5} +(-1.12906 - 1.25394i) q^{6} -1.86474i q^{7} +(-0.951057 - 0.309017i) q^{8} +(-0.0159781 - 0.152021i) q^{9} +(0.0781379 + 2.23470i) q^{10} +(-0.848668 - 0.616593i) q^{11} +(0.991798 + 1.36509i) q^{12} +(0.0705596 - 0.00741612i) q^{13} +(-0.194919 + 1.85453i) q^{14} +(2.10971 - 3.12807i) q^{15} +(0.913545 + 0.406737i) q^{16} +(0.602472 + 2.83441i) q^{17} +0.152859i q^{18} +(-1.85839 - 3.94289i) q^{19} +(0.155880 - 2.23063i) q^{20} +(2.10540 - 2.33828i) q^{21} +(0.779567 + 0.701925i) q^{22} +(-0.482051 - 1.08271i) q^{23} +(-0.843674 - 1.46129i) q^{24} +(-4.80618 + 1.37862i) q^{25} -0.0709483 q^{26} +(3.12700 - 4.30394i) q^{27} +(0.387702 - 1.82399i) q^{28} +(-7.85049 - 1.66867i) q^{29} +(-2.42512 + 2.89041i) q^{30} +(-0.0877703 + 0.270129i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(-0.368013 - 1.73137i) q^{33} +(-0.302895 - 2.88185i) q^{34} +(-4.12909 + 0.580494i) q^{35} +(0.0159781 - 0.152021i) q^{36} +(-6.72863 - 9.26116i) q^{37} +(1.43606 + 4.11555i) q^{38} +(0.0968510 + 0.0703664i) q^{39} +(-0.388190 + 2.20211i) q^{40} +(2.52709 + 1.12513i) q^{41} +(-2.33828 + 2.10540i) q^{42} +(2.09837 - 1.21150i) q^{43} +(-0.701925 - 0.779567i) q^{44} +(-0.331645 + 0.0827043i) q^{45} +(0.366237 + 1.12716i) q^{46} +(-1.05874 + 4.98099i) q^{47} +(0.686306 + 1.54147i) q^{48} +3.52273 q^{49} +(4.92396 - 0.868683i) q^{50} +(-2.44474 + 4.23441i) q^{51} +(0.0705596 + 0.00741612i) q^{52} +(0.506589 - 2.38332i) q^{53} +(-3.55975 + 3.95351i) q^{54} +(-1.10113 + 2.07114i) q^{55} +(-0.576238 + 1.77348i) q^{56} +(2.12143 - 7.04239i) q^{57} +(7.63306 + 2.48013i) q^{58} +(-13.0376 - 5.80470i) q^{59} +(2.71397 - 2.62108i) q^{60} +(5.86188 - 2.60988i) q^{61} +(0.115526 - 0.259475i) q^{62} +(-0.283481 + 0.0297950i) q^{63} +(0.809017 + 0.587785i) q^{64} +(-0.0383867 - 0.153931i) q^{65} +(0.185020 + 1.76035i) q^{66} +(7.45914 - 6.71624i) q^{67} +2.89773i q^{68} +(0.617969 - 1.90191i) q^{69} +(4.16715 - 0.145707i) q^{70} +(-3.15164 + 3.50025i) q^{71} +(-0.0317811 + 0.149518i) q^{72} +(15.7867 + 1.65925i) q^{73} +(5.72371 + 9.91376i) q^{74} +(-7.58322 - 3.69774i) q^{75} +(-0.998005 - 4.24311i) q^{76} +(-1.14979 + 1.58255i) q^{77} +(-0.0889652 - 0.0801046i) q^{78} +(1.58086 - 1.75573i) q^{79} +(0.616247 - 2.14947i) q^{80} +(8.33192 - 1.77100i) q^{81} +(-2.39564 - 1.38312i) q^{82} +(16.4962 + 5.35993i) q^{83} +(2.54555 - 1.84945i) q^{84} +(6.08866 - 2.21640i) q^{85} +(-2.21351 + 0.985520i) q^{86} +(-7.96005 - 10.9561i) q^{87} +(0.616593 + 0.848668i) q^{88} +(-1.80501 + 0.803641i) q^{89} +(0.338474 - 0.0475848i) q^{90} +(-0.0138292 - 0.131576i) q^{91} +(-0.246410 - 1.15927i) q^{92} +(-0.415050 + 0.239629i) q^{93} +(1.57360 - 4.84304i) q^{94} +(-8.15220 + 5.34244i) q^{95} +(-0.521419 - 1.60476i) q^{96} +(6.57034 + 5.91596i) q^{97} +(-3.50343 - 0.368226i) q^{98} +(-0.0801752 + 0.138867i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9}+O(q^{10}) \) 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9	\( 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9} - 12 q^{11} + 8 q^{14} - 18 q^{15} + 50 q^{16} - 10 q^{17} - 12 q^{19} + 4 q^{20} - 32 q^{21} + 20 q^{22} + 30 q^{23} - 14 q^{25} + 60 q^{27} + 24 q^{29} - 52 q^{30} + 20 q^{33} + 8 q^{34} - 8 q^{35} + 50 q^{36} - 24 q^{39} - 16 q^{41} + 4 q^{44} - 144 q^{45} - 32 q^{46} + 120 q^{47} - 440 q^{49} - 40 q^{50} + 52 q^{51} + 40 q^{53} - 12 q^{54} - 88 q^{55} + 16 q^{56} + 48 q^{59} - 2 q^{60} - 28 q^{61} + 10 q^{63} + 100 q^{64} + 152 q^{65} + 16 q^{66} - 80 q^{67} - 16 q^{69} + 8 q^{70} - 14 q^{71} + 80 q^{73} - 104 q^{75} - 8 q^{76} - 80 q^{77} + 60 q^{78} - 8 q^{79} + 2 q^{80} + 106 q^{81} + 80 q^{83} + 56 q^{84} + 78 q^{85} - 20 q^{86} + 80 q^{87} + 12 q^{89} + 78 q^{90} - 8 q^{91} - 20 q^{92} + 4 q^{95} - 30 q^{97} - 40 q^{98} - 12 q^{99}+O(q^{100}) \) 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9 - 12 * q^11 + 8 * q^14 - 18 * q^15 + 50 * q^16 - 10 * q^17 - 12 * q^19 + 4 * q^20 - 32 * q^21 + 20 * q^22 + 30 * q^23 - 14 * q^25 + 60 * q^27 + 24 * q^29 - 52 * q^30 + 20 * q^33 + 8 * q^34 - 8 * q^35 + 50 * q^36 - 24 * q^39 - 16 * q^41 + 4 * q^44 - 144 * q^45 - 32 * q^46 + 120 * q^47 - 440 * q^49 - 40 * q^50 + 52 * q^51 + 40 * q^53 - 12 * q^54 - 88 * q^55 + 16 * q^56 + 48 * q^59 - 2 * q^60 - 28 * q^61 + 10 * q^63 + 100 * q^64 + 152 * q^65 + 16 * q^66 - 80 * q^67 - 16 * q^69 + 8 * q^70 - 14 * q^71 + 80 * q^73 - 104 * q^75 - 8 * q^76 - 80 * q^77 + 60 * q^78 - 8 * q^79 + 2 * q^80 + 106 * q^81 + 80 * q^83 + 56 * q^84 + 78 * q^85 - 20 * q^86 + 80 * q^87 + 12 * q^89 + 78 * q^90 - 8 * q^91 - 20 * q^92 + 4 * q^95 - 30 * q^97 - 40 * q^98 - 12 * q^99

Introduction

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