LMFDB - Embedded newform 152.2.t.a.101.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [152,2,Mod(5,152)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(152, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 9, 16]))

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

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

chi := DirichletCharacter("152.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 152 = 2^{3} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	152.t (of order $18$, degree $6$, 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:	$1.21372611072$
Analytic rank:	$0$
Dimension:	$108$
Relative dimension:	$18$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			101.8
Character	$\chi$	$=$	152.101
Dual form			152.2.t.a.149.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.625260 + 1.26848i) q^{2} +(-0.178255 + 0.489751i) q^{3} +(-1.21810 - 1.58626i) q^{4} +(3.55335 - 0.626551i) q^{5} +(-0.509785 - 0.532335i) q^{6} +(-1.81103 + 3.13680i) q^{7} +(2.77378 - 0.553312i) q^{8} +(2.09005 + 1.75376i) q^{9} +O(q^{10})$	\(q+(-0.625260 + 1.26848i) q^{2} +(-0.178255 + 0.489751i) q^{3} +(-1.21810 - 1.58626i) q^{4} +(3.55335 - 0.626551i) q^{5} +(-0.509785 - 0.532335i) q^{6} +(-1.81103 + 3.13680i) q^{7} +(2.77378 - 0.553312i) q^{8} +(2.09005 + 1.75376i) q^{9} +(-1.42700 + 4.89912i) q^{10} +(-0.380026 + 0.219408i) q^{11} +(0.994007 - 0.313806i) q^{12} +(-1.07650 - 2.95765i) q^{13} +(-2.84661 - 4.25858i) q^{14} +(-0.326547 + 1.85194i) q^{15} +(-1.03247 + 3.86446i) q^{16} +(-5.14502 + 4.31719i) q^{17} +(-3.53144 + 1.55464i) q^{18} +(4.34549 + 0.341661i) q^{19} +(-5.32221 - 4.87335i) q^{20} +(-1.21343 - 1.44610i) q^{21} +(-0.0407004 - 0.619244i) q^{22} +(0.958164 - 5.43402i) q^{23} +(-0.223454 + 1.45709i) q^{24} +(7.53526 - 2.74261i) q^{25} +(4.42482 + 0.483783i) q^{26} +(-2.58554 + 1.49276i) q^{27} +(7.18181 - 0.948159i) q^{28} +(1.67059 - 1.99093i) q^{29} +(-2.14498 - 1.57217i) q^{30} +(2.59436 - 4.49356i) q^{31} +(-4.25644 - 3.72596i) q^{32} +(-0.0397139 - 0.225229i) q^{33} +(-2.25930 - 9.22574i) q^{34} +(-4.46986 + 12.2808i) q^{35} +(0.236038 - 5.45163i) q^{36} -5.95511i q^{37} +(-3.15045 + 5.29855i) q^{38} +1.64040 q^{39} +(9.50953 - 3.70402i) q^{40} +(0.621322 + 0.226143i) q^{41} +(2.59307 - 0.635019i) q^{42} +(-0.376394 + 0.0663684i) q^{43} +(0.810948 + 0.335560i) q^{44} +(8.52551 + 4.92220i) q^{45} +(6.29386 + 4.61309i) q^{46} +(-3.54751 - 2.97672i) q^{47} +(-1.70858 - 1.19451i) q^{48} +(-3.05967 - 5.29950i) q^{49} +(-1.23254 + 11.2732i) q^{50} +(-1.19722 - 3.28934i) q^{51} +(-3.38033 + 5.31032i) q^{52} +(-13.0892 - 2.30798i) q^{53} +(-0.276909 - 4.21308i) q^{54} +(-1.21289 + 1.01774i) q^{55} +(-3.28777 + 9.70285i) q^{56} +(-0.941933 + 2.06730i) q^{57} +(1.48091 + 3.36397i) q^{58} +(-8.50400 - 10.1347i) q^{59} +(3.33544 - 1.73786i) q^{60} +(5.02192 + 0.885501i) q^{61} +(4.07786 + 6.10054i) q^{62} +(-9.28635 + 3.37995i) q^{63} +(7.38769 - 3.06953i) q^{64} +(-5.67829 - 9.83508i) q^{65} +(0.310530 + 0.0904501i) q^{66} +(0.576990 - 0.687630i) q^{67} +(13.1154 + 2.90260i) q^{68} +(2.49052 + 1.43790i) q^{69} +(-12.7832 - 13.3487i) q^{70} +(1.20549 + 6.83668i) q^{71} +(6.76772 + 3.70810i) q^{72} +(3.14662 + 1.14528i) q^{73} +(7.55396 + 3.72349i) q^{74} +4.17929i q^{75} +(-4.75127 - 7.30927i) q^{76} -1.58942i q^{77} +(-1.02568 + 2.08082i) q^{78} +(-6.23172 - 2.26816i) q^{79} +(-1.24743 + 14.3787i) q^{80} +(1.15113 + 6.52839i) q^{81} +(-0.675346 + 0.646738i) q^{82} +(5.47269 + 3.15966i) q^{83} +(-0.815830 + 3.68631i) q^{84} +(-15.5771 + 18.5641i) q^{85} +(0.151157 - 0.518947i) q^{86} +(0.677270 + 1.17307i) q^{87} +(-0.932707 + 0.818862i) q^{88} +(2.76705 - 1.00712i) q^{89} +(-11.5744 + 7.73681i) q^{90} +(11.2271 + 1.97964i) q^{91} +(-9.78692 + 5.09927i) q^{92} +(1.73827 + 2.07159i) q^{93} +(5.99403 - 2.63874i) q^{94} +(15.6551 - 1.50863i) q^{95} +(2.58352 - 1.42042i) q^{96} +(-3.66959 + 3.07915i) q^{97} +(8.63542 - 0.567572i) q^{98} +(-1.17906 - 0.207901i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9}+O(q^{10}) $ 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9	$ 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9} + 9 q^{10} - 3 q^{12} - 9 q^{14} - 12 q^{15} - 12 q^{17} - 12 q^{18} - 42 q^{20} - 12 q^{22} - 12 q^{23} - 36 q^{24} - 12 q^{25} + 21 q^{26} + 24 q^{28} - 48 q^{30} + 30 q^{31} + 39 q^{32} - 30 q^{33} - 60 q^{34} + 69 q^{36} - 42 q^{38} - 24 q^{39} + 36 q^{40} - 24 q^{41} - 81 q^{42} + 45 q^{44} - 18 q^{46} - 48 q^{47} - 21 q^{48} - 24 q^{49} - 12 q^{50} + 3 q^{52} + 63 q^{54} - 42 q^{55} + 30 q^{56} - 12 q^{57} - 84 q^{58} + 30 q^{60} - 6 q^{62} + 30 q^{63} + 3 q^{64} - 6 q^{65} + 54 q^{66} + 36 q^{68} + 123 q^{70} - 12 q^{71} + 150 q^{72} + 12 q^{73} + 75 q^{74} + 42 q^{76} + 39 q^{78} - 12 q^{79} + 51 q^{80} - 18 q^{81} + 99 q^{82} + 75 q^{84} - 48 q^{86} - 6 q^{87} - 27 q^{88} - 12 q^{89} + 66 q^{90} - 48 q^{92} + 54 q^{94} - 72 q^{95} + 42 q^{96} - 12 q^{97} + 93 q^{98}+O(q^{100}) $ 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9 + 9 * q^10 - 3 * q^12 - 9 * q^14 - 12 * q^15 - 12 * q^17 - 12 * q^18 - 42 * q^20 - 12 * q^22 - 12 * q^23 - 36 * q^24 - 12 * q^25 + 21 * q^26 + 24 * q^28 - 48 * q^30 + 30 * q^31 + 39 * q^32 - 30 * q^33 - 60 * q^34 + 69 * q^36 - 42 * q^38 - 24 * q^39 + 36 * q^40 - 24 * q^41 - 81 * q^42 + 45 * q^44 - 18 * q^46 - 48 * q^47 - 21 * q^48 - 24 * q^49 - 12 * q^50 + 3 * q^52 + 63 * q^54 - 42 * q^55 + 30 * q^56 - 12 * q^57 - 84 * q^58 + 30 * q^60 - 6 * q^62 + 30 * q^63 + 3 * q^64 - 6 * q^65 + 54 * q^66 + 36 * q^68 + 123 * q^70 - 12 * q^71 + 150 * q^72 + 12 * q^73 + 75 * q^74 + 42 * q^76 + 39 * q^78 - 12 * q^79 + 51 * q^80 - 18 * q^81 + 99 * q^82 + 75 * q^84 - 48 * q^86 - 6 * q^87 - 27 * q^88 - 12 * q^89 + 66 * q^90 - 48 * q^92 + 54 * q^94 - 72 * q^95 + 42 * q^96 - 12 * q^97 + 93 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/152\mathbb{Z}\right)^\times$.

$n$	$39$	$77$	$97$
$\chi(n)$	$1$	$-1$	$e\left(\frac{7}{9}\right)$

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 $

$2$	−0.625260	+	1.26848i	−0.442126	+	0.896953i
$2$	−0.625260	+	1.26848i	−0.442126	+	0.896953i
$3$	−0.178255	+	0.489751i	−0.102915	+	0.282758i	−0.980454	−	0.196748i	$-0.936962\pi$
$3$	−0.178255	+	0.489751i	−0.102915	+	0.282758i	0.877539	+	0.479506i	$0.159184\pi$
$4$	−1.21810	−	1.58626i	−0.609050	−	0.793132i
$5$	3.55335	−	0.626551i	1.58911	−	0.280202i	0.691960	−	0.721936i	$-0.256747\pi$
$5$	3.55335	−	0.626551i	1.58911	−	0.280202i	0.897146	+	0.441734i	$0.145636\pi$
$6$	−0.509785	−	0.532335i	−0.208119	−	0.217325i
$7$	−1.81103	+	3.13680i	−0.684506	+	1.18560i	0.289086	+	0.957303i	$0.406649\pi$
$7$	−1.81103	+	3.13680i	−0.684506	+	1.18560i	−0.973592	+	0.228295i	$0.926685\pi$
$8$	2.77378	−	0.553312i	0.980679	−	0.195625i
$9$	2.09005	+	1.75376i	0.696684	+	0.584587i
$10$	−1.42700	+	4.89912i	−0.451256	+	1.54924i
$11$	−0.380026	+	0.219408i	−0.114582	+	0.0661540i	−0.556196	−	0.831051i	$-0.687740\pi$
$11$	−0.380026	+	0.219408i	−0.114582	+	0.0661540i	0.441614	+	0.897205i	$0.354406\pi$
$12$	0.994007	−	0.313806i	0.286945	−	0.0905881i
$13$	−1.07650	−	2.95765i	−0.298566	−	0.820304i	−0.994740	−	0.102431i	$-0.967338\pi$
$13$	−1.07650	−	2.95765i	−0.298566	−	0.820304i	0.696174	−	0.717873i	$-0.254884\pi$
$14$	−2.84661	−	4.25858i	−0.760789	−	1.13815i
$15$	−0.326547	+	1.85194i	−0.0843142	+	0.478170i
$16$	−1.03247	+	3.86446i	−0.258117	+	0.966114i
$17$	−5.14502	+	4.31719i	−1.24785	+	1.04707i	−0.250984	+	0.967991i	$0.580754\pi$
$17$	−5.14502	+	4.31719i	−1.24785	+	1.04707i	−0.996868	+	0.0790806i	$0.974802\pi$
$18$	−3.53144	+	1.55464i	−0.832369	+	0.366432i
$19$	4.34549	+	0.341661i	0.996923	+	0.0783824i
$19$	4.34549	+	0.341661i	0.996923	+	0.0783824i
$20$	−5.32221	−	4.87335i	−1.19008	−	1.08971i
$21$	−1.21343	−	1.44610i	−0.264791	−	0.315566i
$22$	−0.0407004	−	0.619244i	−0.00867736	−	0.132023i
$23$	0.958164	−	5.43402i	0.199791	−	1.13307i	−0.705638	−	0.708573i	$-0.749339\pi$
$23$	0.958164	−	5.43402i	0.199791	−	1.13307i	0.905429	−	0.424498i	$-0.139549\pi$
$24$	−0.223454	+	1.45709i	−0.0456124	+	0.297428i
$25$	7.53526	−	2.74261i	1.50705	−	0.548522i
$26$	4.42482	+	0.483783i	0.867778	+	0.0948776i
$27$	−2.58554	+	1.49276i	−0.497587	+	0.287282i
$28$	7.18181	−	0.948159i	1.35723	−	0.179185i
$29$	1.67059	−	1.99093i	0.310221	−	0.369707i	−0.588296	−	0.808646i	$-0.700201\pi$
$29$	1.67059	−	1.99093i	0.310221	−	0.369707i	0.898517	+	0.438939i	$0.144646\pi$
$30$	−2.14498	−	1.57217i	−0.391618	−	0.287037i
$31$	2.59436	−	4.49356i	0.465960	−	0.807067i	−0.533284	−	0.845936i	$-0.679042\pi$
$31$	2.59436	−	4.49356i	0.465960	−	0.807067i	0.999244	+	0.0388694i	$0.0123756\pi$
$32$	−4.25644	−	3.72596i	−0.752439	−	0.658662i
$33$	−0.0397139	−	0.225229i	−0.00691330	−	0.0392073i
$34$	−2.25930	−	9.22574i	−0.387467	−	1.58220i
$35$	−4.46986	+	12.2808i	−0.755545	+	2.07584i
$36$	0.236038	−	5.45163i	0.0393396	−	0.908605i
$37$		−	5.95511i		−	0.979014i	−0.871999	−	0.489507i	$-0.837177\pi$
$37$		−	5.95511i		−	0.979014i	0.871999	−	0.489507i	$-0.162823\pi$
$38$	−3.15045	+	5.29855i	−0.511071	+	0.859539i
$39$	1.64040			0.262675
$40$	9.50953	−	3.70402i	1.50359	−	0.585658i
$41$	0.621322	+	0.226143i	0.0970341	+	0.0353175i	0.390081	−	0.920781i	$-0.372447\pi$
$41$	0.621322	+	0.226143i	0.0970341	+	0.0353175i	−0.293047	+	0.956098i	$0.594669\pi$
$42$	2.59307	−	0.635019i	0.400119	−	0.0979855i
$43$	−0.376394	+	0.0663684i	−0.0573995	+	0.0101211i	−0.202274	−	0.979329i	$-0.564833\pi$
$43$	−0.376394	+	0.0663684i	−0.0573995	+	0.0101211i	0.144875	+	0.989450i	$0.453722\pi$
$44$	0.810948	+	0.335560i	0.122255	+	0.0505876i
$45$	8.52551	+	4.92220i	1.27091	+	0.733759i
$46$	6.29386	+	4.61309i	0.927979	+	0.680163i
$47$	−3.54751	−	2.97672i	−0.517458	−	0.434199i	0.346287	−	0.938129i	$-0.387442\pi$
$47$	−3.54751	−	2.97672i	−0.517458	−	0.434199i	−0.863744	+	0.503930i	$0.831887\pi$
$48$	−1.70858	−	1.19451i	−0.246612	−	0.172413i
$49$	−3.05967	−	5.29950i	−0.437096	−	0.757072i
$50$	−1.23254	+	11.2732i	−0.174308	+	1.59427i
$51$	−1.19722	−	3.28934i	−0.167645	−	0.460600i
$52$	−3.38033	+	5.31032i	−0.468768	+	0.736409i
$53$	−13.0892	−	2.30798i	−1.79794	−	0.317026i	−0.828067	−	0.560629i	$-0.810560\pi$
$53$	−13.0892	−	2.30798i	−1.79794	−	0.317026i	−0.969875	+	0.243603i	$0.921671\pi$
$54$	−0.276909	−	4.21308i	−0.0376825	−	0.573327i
$55$	−1.21289	+	1.01774i	−0.163547	+	0.137232i
$56$	−3.28777	+	9.70285i	−0.439347	+	1.29660i
$57$	−0.941933	+	2.06730i	−0.124762	+	0.273821i
$58$	1.48091	+	3.36397i	0.194453	+	0.441710i
$59$	−8.50400	−	10.1347i	−1.10713	−	1.31942i	−0.942929	−	0.332995i	$-0.891941\pi$
$59$	−8.50400	−	10.1347i	−1.10713	−	1.31942i	−0.164198	−	0.986427i	$-0.552504\pi$
$60$	3.33544	−	1.73786i	0.430603	−	0.224357i
$61$	5.02192	+	0.885501i	0.642991	+	0.113377i	0.485630	−	0.874164i	$-0.338590\pi$
$61$	5.02192	+	0.885501i	0.642991	+	0.113377i	0.157361	+	0.987541i	$0.449701\pi$
$62$	4.07786	+	6.10054i	0.517888	+	0.774769i
$63$	−9.28635	+	3.37995i	−1.16997	+	0.425834i
$64$	7.38769	−	3.06953i	0.923462	−	0.383691i
$65$	−5.67829	−	9.83508i	−0.704305	−	1.21989i
$66$	0.310530	+	0.0904501i	0.0382236	+	0.0111336i
$67$	0.576990	−	0.687630i	0.0704905	−	0.0840073i	−0.729647	−	0.683824i	$-0.760315\pi$
$67$	0.576990	−	0.687630i	0.0704905	−	0.0840073i	0.800137	+	0.599817i	$0.204760\pi$
$68$	13.1154	+	2.90260i	1.59047	+	0.351992i
$69$	2.49052	+	1.43790i	0.299823	+	0.173103i
$70$	−12.7832	−	13.3487i	−1.52789	−	1.59547i
$71$	1.20549	+	6.83668i	0.143065	+	0.811365i	0.968900	+	0.247452i	$0.0795933\pi$
$71$	1.20549	+	6.83668i	0.143065	+	0.811365i	−0.825835	+	0.563912i	$0.809296\pi$
$72$	6.76772	+	3.70810i	0.797583	+	0.437003i
$73$	3.14662	+	1.14528i	0.368284	+	0.134044i	0.519531	−	0.854452i	$-0.326107\pi$
$73$	3.14662	+	1.14528i	0.368284	+	0.134044i	−0.151247	+	0.988496i	$0.548329\pi$
$74$	7.55396	+	3.72349i	0.878130	+	0.432847i
$75$			4.17929i			0.482582i
$76$	−4.75127	−	7.30927i	−0.545008	−	0.838431i
$77$		−	1.58942i		−	0.181131i
$78$	−1.02568	+	2.08082i	−0.116135	+	0.235607i
$79$	−6.23172	−	2.26816i	−0.701123	−	0.255188i	−0.0332326	−	0.999448i	$-0.510580\pi$
$79$	−6.23172	−	2.26816i	−0.701123	−	0.255188i	−0.667890	+	0.744260i	$0.732802\pi$
$80$	−1.24743	+	14.3787i	−0.139467	+	1.60758i
$81$	1.15113	+	6.52839i	0.127904	+	0.725377i
$82$	−0.675346	+	0.646738i	−0.0745795	+	0.0714203i
$83$	5.47269	+	3.15966i	0.600706	+	0.346818i	0.769319	−	0.638865i	$-0.220596\pi$
$83$	5.47269	+	3.15966i	0.600706	+	0.346818i	−0.168613	+	0.985682i	$0.553929\pi$
$84$	−0.815830	+	3.68631i	−0.0890143	+	0.402210i
$85$	−15.5771	+	18.5641i	−1.68958	+	2.01356i
$86$	0.151157	−	0.518947i	0.0162997	−	0.0559595i
$87$	0.677270	+	1.17307i	0.0726110	+	0.125766i
$88$	−0.932707	+	0.818862i	−0.0994268	+	0.0872910i
$89$	2.76705	−	1.00712i	0.293306	−	0.106755i	−0.191176	−	0.981556i	$-0.561230\pi$
$89$	2.76705	−	1.00712i	0.293306	−	0.106755i	0.484483	+	0.874801i	$0.339008\pi$
$90$	−11.5744	+	7.73681i	−1.22005	+	0.815531i
$91$	11.2271	+	1.97964i	1.17692	+	0.207523i
$92$	−9.78692	+	5.09927i	−1.02036	+	0.531636i
$93$	1.73827	+	2.07159i	0.180250	+	0.214814i
$94$	5.99403	−	2.63874i	0.618237	−	0.272165i
$95$	15.6551	−	1.50863i	1.60618	−	0.154782i
$96$	2.58352	−	1.42042i	0.263680	−	0.144971i
$97$	−3.66959	+	3.07915i	−0.372590	+	0.312640i	−0.809785	−	0.586726i	$-0.800416\pi$
$97$	−3.66959	+	3.07915i	−0.372590	+	0.312640i	0.437195	+	0.899367i	$0.355972\pi$
$98$	8.63542	−	0.567572i	0.872309	−	0.0573334i
$99$	−1.17906	−	0.207901i	−0.118500	−	0.0208948i
$100$	−13.5292	−	8.61214i	−1.35292	−	0.861214i
$101$	−0.421241	−	1.15735i	−0.0419151	−	0.115161i	0.916969	−	0.398958i	$-0.130628\pi$
$101$	−0.421241	−	1.15735i	−0.0419151	−	0.115161i	−0.958884	+	0.283797i	$0.908406\pi$
$102$	4.92105	+	0.538037i	0.487256	+	0.0532736i
$103$	4.23865	+	7.34155i	0.417646	+	0.723385i	0.995702	−	0.0926126i	$-0.0295218\pi$
$103$	4.23865	+	7.34155i	0.417646	+	0.723385i	−0.578056	+	0.815997i	$0.696188\pi$
$104$	−4.62246	−	7.60823i	−0.453270	−	0.746048i
$105$	−5.21778	−	4.37824i	−0.509203	−	0.427272i
$106$	11.1118	−	15.1604i	1.07927	−	1.47250i
$107$	3.47844	+	2.00828i	0.336274	+	0.194148i	0.658623	−	0.752473i	$-0.271139\pi$
$107$	3.47844	+	2.00828i	0.336274	+	0.194148i	−0.322349	+	0.946621i	$0.604473\pi$
$108$	5.51736	+	2.28302i	0.530908	+	0.219683i
$109$	−3.89574	+	0.686925i	−0.373145	+	0.0657955i	−0.357076	−	0.934075i	$-0.616226\pi$
$109$	−3.89574	+	0.686925i	−0.373145	+	0.0657955i	−0.0160689	+	0.999871i	$0.505115\pi$
$110$	−0.532611	−	2.17489i	−0.0507824	−	0.207367i
$111$	2.91652	+	1.06153i	0.276824	+	0.100756i
$112$	−10.2522	−	10.2373i	−0.968741	−	0.967333i
$113$	4.12504			0.388051			0.194025	−	0.980996i	$-0.437846\pi$
$113$	4.12504			0.388051			0.194025	+	0.980996i	$0.437846\pi$
$114$	−2.03339	−	2.48743i	−0.190444	−	0.232969i
$115$		−	19.9093i		−	1.85655i
$116$	−5.19309	−	0.224844i	−0.482166	−	0.0208762i
$117$	2.93708	−	8.06956i	0.271533	−	0.746031i
$118$	18.1729	−	4.45038i	1.67295	−	0.409690i
$119$	−4.22435	−	23.9575i	−0.387245	−	2.19618i
$120$	0.118931	+	5.31756i	0.0108569	+	0.485425i
$121$	−5.40372	+	9.35952i	−0.491247	+	0.850865i
$122$	−4.26325	+	5.81656i	−0.385977	+	0.526606i
$123$	−0.221507	+	0.263982i	−0.0199726	+	0.0238025i
$124$	−10.2882	+	1.35827i	−0.923903	+	0.121976i
$125$	9.43322	−	5.44627i	0.843733	−	0.487129i
$126$	1.51897	−	13.8929i	0.135320	−	1.23768i
$127$	6.06982	−	2.20924i	0.538610	−	0.196038i	−0.0583688	−	0.998295i	$-0.518590\pi$
$127$	6.06982	−	2.20924i	0.538610	−	0.196038i	0.596979	+	0.802257i	$0.296368\pi$
$128$	−0.725586	+	11.2904i	−0.0641333	+	0.997941i
$129$	0.0345900	−	0.196170i	0.00304548	−	0.0172718i
$130$	16.0260	−	1.05333i	1.40558	−	0.0923830i
$131$	−12.5465	−	14.9523i	−1.09619	−	1.30639i	−0.948295	−	0.317390i	$-0.897194\pi$
$131$	−12.5465	−	14.9523i	−1.09619	−	1.30639i	−0.147898	−	0.989003i	$-0.547251\pi$
$132$	−0.308897	+	0.337348i	−0.0268860	+	0.0293623i
$133$	−8.94154	+	13.0122i	−0.775330	+	1.12830i
$134$	0.511478	+	1.16185i	0.0441850	+	0.100368i
$135$	−8.25203	+	6.92428i	−0.710222	+	0.595947i
$136$	−11.8824	+	14.8217i	−1.01891	+	1.27095i
$137$	−0.0298899	+	0.169514i	−0.00255367	+	0.0144826i	−0.986058	−	0.166402i	$-0.946785\pi$
$137$	−0.0298899	+	0.169514i	−0.00255367	+	0.0144826i	0.983504	+	0.180885i	$0.0578961\pi$
$138$	−3.38118	+	2.26012i	−0.287825	+	0.192394i
$139$	3.32434	+	9.13356i	0.281967	+	0.774698i	0.997128	+	0.0757382i	$0.0241313\pi$
$139$	3.32434	+	9.13356i	0.281967	+	0.774698i	−0.715161	+	0.698960i	$0.753646\pi$
$140$	24.9254	−	7.86891i	2.10658	−	0.665044i
$141$	2.09021	−	1.20678i	0.176028	−	0.101630i
$142$	−9.42596	−	2.74556i	−0.791009	−	0.230402i
$143$	1.05803	+	0.887791i	0.0884768	+	0.0742408i
$144$	−8.93524	+	6.26621i	−0.744604	+	0.522184i
$145$	4.68877	−	8.12119i	0.389381	−	0.674428i
$146$	−3.42022	+	3.27534i	−0.283059	+	0.271069i
$147$	3.14084	−	0.553815i	0.259052	−	0.0456779i
$148$	−9.44638	+	7.25392i	−0.776488	+	0.596269i
$149$	−3.79804	+	10.4350i	−0.311148	+	0.854871i	0.681278	+	0.732025i	$0.261424\pi$
$149$	−3.79804	+	10.4350i	−0.311148	+	0.854871i	−0.992426	+	0.122846i	$0.960798\pi$
$150$	−5.30136	−	2.61314i	−0.432854	−	0.213362i
$151$	15.4686			1.25881			0.629407	−	0.777076i	$-0.283298\pi$
$151$	15.4686			1.25881			0.629407	+	0.777076i	$0.283298\pi$
$152$	12.2425	−	1.45672i	0.992995	−	0.118155i
$153$	−18.3247			−1.48146
$154$	2.01615	+	0.993801i	0.162466	+	0.0800827i
$155$	6.40321	−	17.5927i	0.514318	−	1.41308i
$156$	−1.99817	−	2.60211i	−0.159982	−	0.208336i
$157$	10.4969	−	1.85088i	0.837743	−	0.147717i	0.261713	−	0.965146i	$-0.415713\pi$
$157$	10.4969	−	1.85088i	0.837743	−	0.147717i	0.576029	+	0.817429i	$0.304601\pi$
$158$	6.77356	−	6.48664i	0.538876	−	0.516049i
$159$	3.46355	−	5.99905i	0.274678	−	0.475756i
$160$	−17.4591	−	10.5727i	−1.38026	−	0.835849i
$161$	15.3101	+	12.8467i	1.20661	+	1.01246i
$162$	−9.00092	−	2.62175i	−0.707179	−	0.205984i
$163$	12.5659	−	7.25490i	0.984234	−	0.568248i	0.0806881	−	0.996739i	$-0.474288\pi$
$163$	12.5659	−	7.25490i	0.984234	−	0.568248i	0.903546	+	0.428492i	$0.140955\pi$
$164$	−0.398110	−	1.26104i	−0.0310872	−	0.0984710i
$165$	−0.282235	−	0.775433i	−0.0219719	−	0.0603674i
$166$	−7.42983	+	4.96641i	−0.576667	+	0.385468i
$167$	−2.62542	+	14.8895i	−0.203161	+	1.15218i	0.697146	+	0.716929i	$0.254453\pi$
$167$	−2.62542	+	14.8895i	−0.203161	+	1.15218i	−0.900307	+	0.435255i	$0.856658\pi$
$168$	−4.16592	−	3.33977i	−0.321408	−	0.257669i
$169$	2.36973	−	1.98844i	0.182287	−	0.152957i
$170$	−13.8085	−	31.3667i	−1.05906	−	2.40572i
$171$	8.48310	+	8.33504i	0.648719	+	0.637396i
$172$	0.563763	+	0.516217i	0.0429865	+	0.0393612i
$173$	8.86774	+	10.5682i	0.674202	+	0.803482i	0.989349	−	0.145560i	$-0.0464985\pi$
$173$	8.86774	+	10.5682i	0.674202	+	0.803482i	−0.315148	+	0.949043i	$0.602054\pi$
$174$	−1.91149	+	0.125634i	−0.144909	+	0.00952431i
$175$	−5.04358	+	28.6036i	−0.381259	+	2.16223i
$176$	−0.455529	−	1.69512i	−0.0343368	−	0.127775i
$177$	6.47935	−	2.35829i	0.487018	−	0.177260i
$178$	−0.452606	+	4.13967i	−0.0339242	+	0.310281i
$179$	−9.19239	+	5.30723i	−0.687072	+	0.396681i	−0.802514	−	0.596633i	$-0.796505\pi$
$179$	−9.19239	+	5.30723i	−0.687072	+	0.396681i	0.115442	+	0.993314i	$0.463171\pi$
$180$	−2.57700	−	19.5194i	−0.192078	−	1.45489i
$181$	−4.23274	+	5.04438i	−0.314617	+	0.374946i	−0.900059	−	0.435768i	$-0.856477\pi$
$181$	−4.23274	+	5.04438i	−0.314617	+	0.374946i	0.585442	+	0.810714i	$0.300921\pi$
$182$	−9.53101	+	13.0036i	−0.706486	+	0.963892i
$183$	−1.32886	+	2.30165i	−0.0982319	+	0.170143i
$184$	−0.348970	−	15.6029i	−0.0257264	−	1.15026i
$185$	−3.73118	−	21.1606i	−0.274322	−	1.55576i
$186$	−3.71464	+	0.909683i	−0.272371	+	0.0667012i
$187$	1.00802	−	2.76950i	0.0737135	−	0.202526i
$188$	−0.400634	+	9.25323i	−0.0292193	+	0.674861i
$189$		−	10.8138i		−	0.786585i
$190$	−7.87484	+	20.8015i	−0.571301	+	1.50910i
$191$	−13.9420			−1.00880			−0.504402	−	0.863469i	$-0.668287\pi$
$191$	−13.9420			−1.00880			−0.504402	+	0.863469i	$0.668287\pi$
$192$	0.186412	+	4.16529i	0.0134532	+	0.300604i
$193$	−10.0207	−	3.64723i	−0.721304	−	0.262533i	−0.0448245	−	0.998995i	$-0.514273\pi$
$193$	−10.0207	−	3.64723i	−0.721304	−	0.262533i	−0.676479	+	0.736462i	$0.736495\pi$
$194$	−1.61140	−	6.58008i	−0.115692	−	0.472422i
$195$	5.82892	−	1.02780i	0.417418	−	0.0736020i
$196$	−4.67943	+	11.3088i	−0.334245	+	0.807769i
$197$	−16.9554	−	9.78922i	−1.20802	−	0.697453i	−0.245697	−	0.969347i	$-0.579017\pi$
$197$	−16.9554	−	9.78922i	−1.20802	−	0.697453i	−0.962327	+	0.271894i	$0.912350\pi$
$198$	1.00094	−	1.36563i	0.0711337	−	0.0970511i
$199$	7.65538	+	6.42362i	0.542675	+	0.455359i	0.872452	−	0.488700i	$-0.162529\pi$
$199$	7.65538	+	6.42362i	0.542675	+	0.455359i	−0.329776	+	0.944059i	$0.606973\pi$
$200$	19.3836	−	11.7767i	1.37063	−	0.832742i
$201$	0.233916	+	0.405155i	0.0164992	+	0.0285774i
$202$	1.73147	+	0.189308i	0.121826	+	0.0133197i
$203$	3.21966	+	8.84594i	0.225976	+	0.620864i
$204$	−3.75943	+	5.90586i	−0.263213	+	0.413493i
$205$	2.34946	+	0.414274i	0.164094	+	0.0289341i
$206$	−11.9629	+	0.786273i	−0.833494	+	0.0547823i
$207$	11.5326	−	9.67699i	0.801570	−	0.672597i
$208$	12.5412	−	1.10640i	0.869572	−	0.0767149i
$209$	−1.72636	+	0.823595i	−0.119415	+	0.0569693i
$210$	8.81620	−	3.88113i	0.608375	−	0.267824i
$211$	−4.97164	−	5.92497i	−0.342262	−	0.407892i	0.567266	−	0.823535i	$-0.308001\pi$
$211$	−4.97164	−	5.92497i	−0.342262	−	0.407892i	−0.909528	+	0.415643i	$0.863557\pi$
$212$	12.2829	+	23.5743i	0.843593	+	1.61909i
$213$	−3.56316	−	0.628281i	−0.244143	−	0.0430491i
$214$	−4.72240	+	3.15665i	−0.322817	+	0.215784i
$215$	−1.29588	+	0.471660i	−0.0883780	+	0.0321670i
$216$	−6.34575	+	5.57120i	−0.431774	+	0.379072i
$217$	9.39692	+	16.2759i	0.637905	+	1.10488i
$218$	1.56450	−	5.37119i	0.105961	−	0.363783i
$219$	−1.12180	+	1.33691i	−0.0758042	+	0.0903399i
$220$	3.09183	+	0.684263i	0.208451	+	0.0461330i
$221$	18.3073	+	10.5697i	1.23148	+	0.710998i
$222$	−3.17011	+	3.03583i	−0.212764	+	0.203752i
$223$	−1.06597	−	6.04540i	−0.0713825	−	0.404830i	−0.999473	−	0.0324743i	$-0.989661\pi$
$223$	−1.06597	−	6.04540i	−0.0713825	−	0.404830i	0.928090	−	0.372356i	$-0.121450\pi$
$224$	19.3961	−	6.60376i	1.29596	−	0.441232i
$225$	20.5590	+	7.48286i	1.37060	+	0.498857i
$226$	−2.57922	+	5.23254i	−0.171567	+	0.348063i
$227$			22.5256i			1.49507i	0.664220	+	0.747537i	$0.268764\pi$
$227$			22.5256i			1.49507i	−0.664220	+	0.747537i	$0.731236\pi$
$228$	4.42666	−	1.02403i	0.293163	−	0.0678180i
$229$		−	2.87289i		−	0.189846i	−0.995485	−	0.0949230i	$-0.969740\pi$
$229$		−	2.87289i		−	0.189846i	0.995485	−	0.0949230i	$-0.0302605\pi$
$230$	25.2546	+	12.4485i	1.66524	+	0.820829i
$231$	0.778420	+	0.283322i	0.0512163	+	0.0186412i
$232$	3.53224	−	6.44676i	0.231903	−	0.423251i
$233$	−0.468956	−	2.65958i	−0.0307223	−	0.174235i	0.965586	−	0.260085i	$-0.0837506\pi$
$233$	−0.468956	−	2.65958i	−0.0307223	−	0.174235i	−0.996308	+	0.0858499i	$0.972639\pi$
$234$	8.39966	+	8.77121i	0.549103	+	0.573392i
$235$	−14.4706	−	8.35462i	−0.943959	−	0.544995i
$236$	−5.71755	+	25.8346i	−0.372181	+	1.68169i
$237$	2.22167	−	2.64768i	0.144313	−	0.171985i
$238$	33.0310	+	9.62113i	2.14108	+	0.623645i
$239$	−3.74844	−	6.49248i	−0.242466	−	0.419964i	0.718950	−	0.695062i	$-0.244623\pi$
$239$	−3.74844	−	6.49248i	−0.242466	−	0.419964i	−0.961416	+	0.275098i	$0.911290\pi$
$240$	−6.81960	−	3.17400i	−0.440203	−	0.204881i
$241$	−19.6289	+	7.14435i	−1.26441	+	0.460208i	−0.885247	−	0.465122i	$-0.846011\pi$
$241$	−19.6289	+	7.14435i	−1.26441	+	0.460208i	−0.379164	+	0.925330i	$0.623788\pi$
$242$	−8.49366	−	12.7067i	−0.545993	−	0.816815i
$243$	−12.2230	−	2.15524i	−0.784105	−	0.138259i
$244$	−4.71257	−	9.04473i	−0.301691	−	0.579029i
$245$	−14.1925	−	16.9139i	−0.906725	−	1.08059i
$246$	−0.196357	−	0.446036i	−0.0125193	−	0.0284382i
$247$	−3.66739	−	13.2202i	−0.233350	−	0.841183i
$248$	4.70983	−	13.8996i	0.299075	−	0.882627i
$249$	−2.52298	+	2.11703i	−0.159887	+	0.134161i
$250$	1.01029	+	15.3712i	0.0638963	+	0.972161i
$251$	−11.5835	−	2.04249i	−0.731146	−	0.128921i	−0.204332	−	0.978902i	$-0.565502\pi$
$251$	−11.5835	−	2.04249i	−0.731146	−	0.128921i	−0.526814	+	0.849981i	$0.676613\pi$
$252$	16.6732	+	10.6135i	1.05031	+	0.668586i
$253$	0.828140	+	2.27530i	0.0520647	+	0.143047i
$254$	−0.992841	+	9.08082i	−0.0622964	+	0.569781i
$255$	−6.31509	−	10.9381i	−0.395466	−	0.684968i
$256$	−13.8680	−	7.97984i	−0.866752	−	0.498740i
$257$	21.7871	+	18.2816i	1.35904	+	1.14037i	0.976276	+	0.216529i	$0.0694735\pi$
$257$	21.7871	+	18.2816i	1.35904	+	1.14037i	0.382768	+	0.923845i	$0.374971\pi$
$258$	0.227210	+	0.166534i	0.0141455	+	0.0103680i
$259$	18.6800	+	10.7849i	1.16072	+	0.670141i
$260$	−8.68432	+	20.9874i	−0.538578	+	1.30158i
$261$	6.98324	−	1.23133i	0.432252	−	0.0762176i
$262$	26.8116	−	6.56593i	1.65643	−	0.405645i
$263$	−4.40729	−	1.60412i	−0.271765	−	0.0989144i	0.202543	−	0.979273i	$-0.435079\pi$
$263$	−4.40729	−	1.60412i	−0.271765	−	0.0989144i	−0.474308	+	0.880359i	$0.657302\pi$
$264$	−0.234779	−	0.602760i	−0.0144497	−	0.0370973i
$265$	−47.9566			−2.94595
$266$	−10.9149	−	19.4782i	−0.669237	−	1.19428i
$267$			1.53469i			0.0939214i
$268$	−1.79359	−	0.0776566i	−0.109561	−	0.00474363i
$269$	3.37775	−	9.28030i	0.205945	−	0.565830i	−0.793120	−	0.609066i	$-0.791545\pi$
$269$	3.37775	−	9.28030i	0.205945	−	0.565830i	0.999065	+	0.0432360i	$0.0137667\pi$
$270$	−3.62366	−	14.7970i	−0.220529	−	0.900519i
$271$	2.81763	+	15.9795i	0.171159	+	0.970688i	0.942485	+	0.334249i	$0.108483\pi$
$271$	2.81763	+	15.9795i	0.171159	+	0.970688i	−0.771326	+	0.636440i	$0.780406\pi$
$272$	−11.3715	−	24.3401i	−0.689499	−	1.47583i
$273$	−2.97082	+	5.14561i	−0.179802	+	0.311427i
$274$	−0.196337	−	0.143905i	−0.0118611	−	0.00869364i
$275$	−2.26184	+	2.69556i	−0.136394	+	0.162548i
$276$	−0.752808	−	5.70213i	−0.0453137	−	0.343228i
$277$	8.62292	−	4.97844i	0.518101	−	0.299126i	−0.218056	−	0.975936i	$-0.569972\pi$
$277$	8.62292	−	4.97844i	0.518101	−	0.299126i	0.736157	+	0.676810i	$0.236638\pi$
$278$	−13.6643	−	1.49398i	−0.819533	−	0.0896027i
$279$	13.3030	−	4.84189i	0.796428	−	0.289876i
$280$	−5.60327	+	36.5376i	−0.334860	+	2.18354i
$281$	2.34289	−	13.2872i	0.139765	−	0.792647i	−0.831657	−	0.555289i	$-0.812608\pi$
$281$	2.34289	−	13.2872i	0.139765	−	0.792647i	0.971422	−	0.237358i	$-0.0762813\pi$
$282$	0.223860	+	3.40595i	0.0133307	+	0.202822i
$283$	8.89834	+	10.6046i	0.528952	+	0.630380i	0.962673	−	0.270667i	$-0.0872442\pi$
$283$	8.89834	+	10.6046i	0.528952	+	0.630380i	−0.433721	+	0.901047i	$0.642800\pi$
$284$	9.37637	−	10.2400i	0.556385	−	0.607631i
$285$	−2.05174	+	7.93603i	−0.121535	+	0.470090i
$286$	−1.78769	+	0.786991i	−0.105708	+	0.0465358i
$287$	−1.83460	+	1.53941i	−0.108293	+	0.0908685i
$288$	−2.36173	−	15.2522i	−0.139167	−	0.898746i
$289$	4.88114	−	27.6823i	0.287126	−	1.62837i
$290$	7.36989	+	11.0255i	0.432775	+	0.647438i
$291$	−0.853896	−	2.34606i	−0.0500562	−	0.137528i
$292$	−2.01619	−	6.38642i	−0.117988	−	0.373737i
$293$	−8.10134	+	4.67731i	−0.473286	+	0.273252i	−0.717614	−	0.696441i	$-0.754766\pi$
$293$	−8.10134	+	4.67731i	−0.473286	+	0.273252i	0.244329	+	0.969693i	$0.421432\pi$
$294$	−1.26134	+	4.33038i	−0.0735626	+	0.252553i
$295$	−36.5676	−	30.6838i	−2.12905	−	1.78648i
$296$	−3.29503	−	16.5182i	−0.191520	−	0.960099i
$297$	0.655048	−	1.13458i	0.0380097	−	0.0658348i
$298$	−10.8619	−	11.3424i	−0.629213	−	0.657045i
$299$	−17.1034	+	3.01579i	−0.989114	+	0.174407i
$300$	6.62945	−	5.09079i	0.382752	−	0.293917i
$301$	0.473477	−	1.30087i	0.0272907	−	0.0749807i
$302$	−9.67188	+	19.6216i	−0.556554	+	1.12910i
$303$	0.641902			0.0368763
$304$	−5.80690	+	16.4402i	−0.333049	+	0.942910i
$305$	18.3995			1.05355
$306$	11.4577	−	23.2446i	0.654993	−	1.32880i
$307$	−4.23577	+	11.6377i	−0.241748	+	0.664197i	0.758178	+	0.652047i	$0.226090\pi$
$307$	−4.23577	+	11.6377i	−0.241748	+	0.664197i	−0.999926	+	0.0121498i	$0.996133\pi$
$308$	−2.52124	+	1.93607i	−0.143661	+	0.110318i
$309$	−4.35109	+	0.767215i	−0.247525	+	0.0436453i
$310$	18.3123	+	19.1224i	1.04007	+	1.08608i
$311$	6.64245	−	11.5051i	0.376659	−	0.652392i	−0.613915	−	0.789372i	$-0.710406\pi$
$311$	6.64245	−	11.5051i	0.376659	−	0.652392i	0.990574	+	0.136980i	$0.0437395\pi$
$312$	4.55011	−	0.907654i	0.257599	−	0.0513858i
$313$	13.6701	+	11.4706i	0.772678	+	0.648354i	0.941393	−	0.337311i	$-0.109517\pi$
$313$	13.6701	+	11.4706i	0.772678	+	0.648354i	−0.168715	+	0.985665i	$0.553962\pi$
$314$	−4.21547	+	14.4724i	−0.237893	+	0.816725i
$315$	−30.8799	+	17.8285i	−1.73989	+	1.00452i
$316$	3.99295	+	12.6480i	0.224621	+	0.711505i
$317$	2.26034	+	6.21023i	0.126953	+	0.348801i	0.986844	−	0.161677i	$-0.0516904\pi$
$317$	2.26034	+	6.21023i	0.126953	+	0.348801i	−0.859890	+	0.510479i	$0.829468\pi$
$318$	5.44407	+	8.14443i	0.305288	+	0.456717i
$319$	−0.198041	+	1.12315i	−0.0110882	+	0.0628841i
$320$	24.3278	−	15.5359i	1.35997	−	0.868482i
$321$	−1.60361	+	1.34559i	−0.0895046	+	0.0751032i
$322$	−25.8687	+	11.3881i	−1.44161	+	0.634635i
$323$	−23.8327	+	17.0024i	−1.32608	+	0.946041i
$324$	8.95356	−	9.77823i	0.497420	−	0.543235i
$325$	−16.2234	−	19.3343i	−0.899910	−	1.07247i
$326$	1.34579	+	20.4758i	0.0745365	+	1.13405i
$327$	0.358013	−	2.03039i	0.0197982	−	0.112281i
$328$	1.84854	+	0.283485i	0.102068	+	0.0156528i
$329$	15.7620	−	5.73691i	0.868988	−	0.316286i
$330$	1.16009	+	0.126838i	0.0638611	+	0.00698218i
$331$	27.1893	−	15.6977i	1.49446	−	0.862825i	0.494478	−	0.869190i	$-0.335359\pi$
$331$	27.1893	−	15.6977i	1.49446	−	0.862825i	0.999980	+	0.00636473i	$0.00202597\pi$
$332$	−1.65423	−	12.5299i	−0.0907876	−	0.687668i
$333$	10.4438	−	12.4465i	0.572319	−	0.682064i
$334$	−17.2455	−	12.6401i	−0.943632	−	0.691636i
$335$	1.61941	−	2.80490i	0.0884779	−	0.153248i
$336$	6.84123	−	3.19617i	0.373219	−	0.174366i
$337$	−4.91514	−	27.8751i	−0.267745	−	1.51845i	−0.761104	−	0.648629i	$-0.775343\pi$
$337$	−4.91514	−	27.8751i	−0.267745	−	1.51845i	0.493360	−	0.869825i	$-0.335769\pi$
$338$	1.04061	+	4.24926i	0.0566015	+	0.231129i
$339$	−0.735308	+	2.02024i	−0.0399364	+	0.109724i
$340$	48.4221	+	2.09651i	2.62605	+	0.113699i
$341$			2.27689i			0.123301i
$342$	−15.8770	+	5.54911i	−0.858530	+	0.300061i
$343$	−3.18981			−0.172233
$344$	−1.00731	+	0.392354i	−0.0543106	+	0.0211543i
$345$	9.75060	+	3.54893i	0.524955	+	0.191068i
$346$	−18.9502	+	4.64073i	−1.01877	+	0.249487i
$347$	9.43422	−	1.66351i	0.506456	−	0.0893018i	0.0854184	−	0.996345i	$-0.472777\pi$
$347$	9.43422	−	1.66351i	0.506456	−	0.0893018i	0.421037	+	0.907043i	$0.361666\pi$
$348$	1.03581	−	2.50324i	0.0555253	−	0.134188i
$349$	−24.8657	−	14.3562i	−1.33103	−	0.768470i	−0.345571	−	0.938392i	$-0.612315\pi$
$349$	−24.8657	−	14.3562i	−1.33103	−	0.768470i	−0.985457	+	0.169923i	$0.945648\pi$
$350$	−33.1296	−	24.2824i	−1.77085	−	1.29795i
$351$	7.19839	+	6.04017i	0.384222	+	0.322400i
$352$	2.43506	+	0.482063i	0.129789	+	0.0256941i
$353$	−9.10896	−	15.7772i	−0.484821	−	0.839735i	0.515027	−	0.857174i	$-0.327782\pi$
$353$	−9.10896	−	15.7772i	−0.484821	−	0.839735i	−0.999848	+	0.0174391i	$0.994449\pi$
$354$	−1.05983	+	9.69349i	−0.0563291	+	0.515203i
$355$	8.56706	+	23.5378i	0.454692	+	1.24926i
$356$	−4.96810	−	3.16249i	−0.263309	−	0.167612i
$357$	12.4862	+	2.20166i	0.660840	+	0.116524i
$358$	−0.984497	−	14.9788i	−0.0520323	−	0.791654i
$359$	−17.5349	+	14.7135i	−0.925455	+	0.776549i	−0.974996	−	0.222223i	$-0.928669\pi$
$359$	−17.5349	+	14.7135i	−0.925455	+	0.776549i	0.0495409	+	0.998772i	$0.484224\pi$
$360$	26.3714	+	8.93584i	1.38989	+	0.470960i
$361$	18.7665	+	2.96937i	0.987712	+	0.156282i
$362$	−3.75215	−	8.52321i	−0.197209	−	0.447970i
$363$	−3.62059	−	4.31486i	−0.190032	−	0.226471i
$364$	−10.5355	−	20.2206i	−0.552211	−	1.05985i
$365$	11.8986	+	2.09805i	0.622801	+	0.109817i
$366$	−2.08872	−	3.12476i	−0.109179	−	0.163334i
$367$	−8.79345	+	3.20055i	−0.459014	+	0.167068i	−0.561170	−	0.827701i	$-0.689648\pi$
$367$	−8.79345	+	3.20055i	−0.459014	+	0.167068i	0.102155	+	0.994768i	$0.467426\pi$
$368$	20.0102	+	9.31322i	1.04311	+	0.485485i
$369$	0.901994	+	1.56230i	0.0469560	+	0.0813301i
$370$	29.1748	+	8.49793i	1.51673	+	0.441786i
$371$	30.9447	−	36.8784i	1.60657	−	1.91463i
$372$	1.16870	−	5.28075i	0.0605943	−	0.273794i
$373$	−9.42605	−	5.44213i	−0.488062	−	0.281783i	0.235708	−	0.971824i	$-0.424259\pi$
$373$	−9.42605	−	5.44213i	−0.488062	−	0.281783i	−0.723770	+	0.690041i	$0.757592\pi$
$374$	2.88280	+	3.01031i	0.149066	+	0.155660i
$375$	0.985801	+	5.59075i	0.0509065	+	0.288705i
$376$	−11.4871	−	6.29387i	−0.592400	−	0.324582i
$377$	−7.68686	−	2.79779i	−0.395894	−	0.144093i
$378$	13.7171	+	6.76141i	0.705530	+	0.347769i
$379$		−	10.4146i		−	0.534963i	−0.963563	−	0.267482i	$-0.913809\pi$
$379$		−	10.4146i		−	0.534963i	0.963563	−	0.267482i	$-0.0861915\pi$
$380$	−21.4626	−	22.9955i	−1.10101	−	1.17964i
$381$			3.36651i			0.172472i
$382$	8.71735	−	17.6851i	0.446018	−	0.904851i
$383$	−20.1708	−	7.34157i	−1.03068	−	0.375137i	−0.229340	−	0.973346i	$-0.573657\pi$
$383$	−20.1708	−	7.34157i	−1.03068	−	0.375137i	−0.801340	+	0.598210i	$0.795879\pi$
$384$	−5.40015	−	2.36793i	−0.275576	−	0.120838i
$385$	−0.995853	−	5.64776i	−0.0507534	−	0.287837i
$386$	10.8920	−	10.4306i	0.554387	−	0.530903i
$387$	−0.903077	−	0.521392i	−0.0459060	−	0.0265038i
$388$	9.35427	+	2.07022i	0.474891	+	0.105100i
$389$	12.0248	−	14.3306i	0.609684	−	0.726593i	−0.369576	−	0.929200i	$-0.620497\pi$
$389$	12.0248	−	14.3306i	0.609684	−	0.726593i	0.979260	+	0.202608i	$0.0649416\pi$
$390$	−2.34085	+	8.03653i	−0.118534	+	0.406946i
$391$	18.5299	+	32.0947i	0.937097	+	1.62310i
$392$	−11.4191	−	13.0067i	−0.576753	−	0.656937i
$393$	9.55940	−	3.47934i	0.482208	−	0.175509i
$394$	23.0190	−	15.3869i	1.15968	−	0.775179i
$395$	−23.5646	−	4.15507i	−1.18566	−	0.209064i
$396$	1.10643	+	2.12355i	0.0556003	+	0.106712i
$397$	−0.0151058	−	0.0180024i	−0.000758139	−	0.000903515i	0.765665	−	0.643239i	$-0.222410\pi$
$397$	−0.0151058	−	0.0180024i	−0.000758139	−	0.000903515i	−0.766423	+	0.642336i	$0.777965\pi$
$398$	−12.9349	+	5.69428i	−0.648366	+	0.285429i
$399$	−4.77885	−	6.69861i	−0.239242	−	0.335350i
$400$	2.81879	+	31.9513i	0.140940	+	1.59757i
$401$	−9.71472	+	8.15162i	−0.485130	+	0.407072i	−0.852277	−	0.523091i	$-0.824779\pi$
$401$	−9.71472	+	8.15162i	−0.485130	+	0.407072i	0.367147	+	0.930163i	$0.380335\pi$
$402$	−0.660190	+	0.0433917i	−0.0329273	+	0.00216418i
$403$	−16.0832	−	2.83590i	−0.801161	−	0.141266i
$404$	−1.32275	+	2.07797i	−0.0658093	+	0.103383i
$405$	8.18075	+	22.4764i	0.406505	+	1.11686i
$406$	−13.2341	−	1.44693i	−0.656795	−	0.0718099i
$407$	1.30660	+	2.26310i	0.0647657	+	0.112178i
$408$	−5.14086	−	8.46147i	−0.254510	−	0.418905i
$409$	8.05259	+	6.75693i	0.398175	+	0.334109i	0.819788	−	0.572667i	$-0.194091\pi$
$409$	8.05259	+	6.75693i	0.398175	+	0.334109i	−0.421613	+	0.906776i	$0.638536\pi$
$410$	−1.99452	+	2.72123i	−0.0985026	+	0.134392i
$411$	−0.0776917	−	0.0448553i	−0.00383225	−	0.00221255i
$412$	6.48254	−	15.6664i	0.319372	−	0.771826i
$413$	47.1914	−	8.32113i	2.32214	−	0.409456i
$414$	5.06423	+	20.6795i	0.248893	+	1.01634i
$415$	21.4261	+	7.79845i	1.05176	+	0.382811i
$416$	−6.43803	+	16.6000i	−0.315651	+	0.813883i
$417$	−5.06575			−0.248071
$418$	0.0347081	−	2.70482i	0.00169763	−	0.132297i
$419$			30.4034i			1.48531i	0.669677	+	0.742653i	$0.266433\pi$
$419$			30.4034i			1.48531i	−0.669677	+	0.742653i	$0.733567\pi$
$420$	−0.589264	+	13.6099i	−0.0287531	+	0.664096i
$421$	−11.1442	+	30.6184i	−0.543134	+	1.49225i	0.299677	+	0.954041i	$0.403121\pi$
$421$	−11.1442	+	30.6184i	−0.543134	+	1.49225i	−0.842812	+	0.538209i	$0.819101\pi$
$422$	10.6243	−	2.60179i	0.517182	−	0.126653i
$423$	−2.19403	−	12.4430i	−0.106678	−	0.604999i
$424$	−37.5836	+	0.840584i	−1.82522	+	0.0408224i
$425$	−26.9287	+	46.6420i	−1.30624	+	2.26247i
$426$	3.02486	−	4.12697i	0.146555	−	0.199952i
$427$	−11.8725	+	14.1491i	−0.574551	+	0.684723i
$428$	−1.05143	−	7.96401i	−0.0508227	−	0.384955i
$429$	−0.623395	+	0.359918i	−0.0300978	+	0.0173770i
$430$	0.211966	−	1.93871i	0.0102219	−	0.0934927i
$431$	29.1465	−	10.6084i	1.40394	−	0.510991i	0.474592	−	0.880206i	$-0.342596\pi$
$431$	29.1465	−	10.6084i	1.40394	−	0.510991i	0.929344	+	0.369215i	$0.120373\pi$
$432$	−3.09923	−	11.5329i	−0.149112	−	0.554878i
$433$	−4.85572	+	27.5382i	−0.233351	+	1.32340i	0.612707	+	0.790310i	$0.290080\pi$
$433$	−4.85572	+	27.5382i	−0.233351	+	1.32340i	−0.846058	+	0.533090i	$0.821031\pi$
$434$	−26.5213	+	1.74314i	−1.27306	+	0.0836734i
$435$	3.14156	+	3.74397i	0.150626	+	0.179510i
$436$	5.83505	+	5.34294i	0.279448	+	0.255880i
$437$	6.02028	−	23.2861i	0.287989	−	1.11392i
$438$	−0.994430	−	2.25890i	−0.0475157	−	0.107934i
$439$	−18.9839	+	15.9294i	−0.906054	+	0.760269i	−0.971364	−	0.237596i	$-0.923641\pi$
$439$	−18.9839	+	15.9294i	−0.906054	+	0.760269i	0.0653103	+	0.997865i	$0.479196\pi$
$440$	−2.80117	+	3.49409i	−0.133541	+	0.166574i
$441$	2.89920	−	16.4422i	0.138057	−	0.782960i
$442$	−24.8544	+	16.6137i	−1.18220	+	0.790233i
$443$	1.79167	+	4.92257i	0.0851248	+	0.233879i	0.974950	−	0.222422i	$-0.0713963\pi$
$443$	1.79167	+	4.92257i	0.0851248	+	0.233879i	−0.889826	+	0.456301i	$0.849174\pi$
$444$	−1.86875	−	5.91942i	−0.0886871	−	0.280923i
$445$	9.20127	−	5.31236i	0.436182	−	0.251830i
$446$	8.33500	+	2.42779i	0.394674	+	0.114959i
$447$	−4.43355	−	3.72019i	−0.209700	−	0.175959i
$448$	−3.75086	+	28.7327i	−0.177211	+	1.35749i
$449$	−12.7259	+	22.0418i	−0.600570	+	1.04022i	0.392165	+	0.919895i	$0.371726\pi$
$449$	−12.7259	+	22.0418i	−0.600570	+	1.04022i	−0.992735	+	0.120323i	$0.961607\pi$
$450$	−22.3466	+	21.4000i	−1.05343	+	1.00881i
$451$	−0.285736	+	0.0503829i	−0.0134548	+	0.00237244i
$452$	−5.02471	−	6.54340i	−0.236342	−	0.307776i
$453$	−2.75735	+	7.57575i	−0.129551	+	0.355940i
$454$	−28.5733	−	14.0843i	−1.34101	−	0.661011i
$455$	41.1342			1.92840
$456$	−1.46885	+	6.25543i	−0.0687852	+	0.292937i
$457$	36.2633			1.69633			0.848163	−	0.529736i	$-0.177709\pi$
$457$	36.2633			1.69633			0.848163	+	0.529736i	$0.177709\pi$
$458$	3.64421	+	1.79630i	0.170283	+	0.0839358i
$459$	6.85813	−	18.8426i	0.320110	−	0.879495i
$460$	−31.5814	+	24.2515i	−1.47249	+	1.13073i
$461$	−2.09253	+	0.368969i	−0.0974588	+	0.0171846i	−0.222165	−	0.975009i	$-0.571312\pi$
$461$	−2.09253	+	0.368969i	−0.0974588	+	0.0171846i	0.124706	+	0.992194i	$0.460201\pi$
$462$	−0.846104	+	0.810263i	−0.0393643	+	0.0376968i
$463$	5.19412	−	8.99648i	0.241391	−	0.418102i	−0.719720	−	0.694265i	$-0.755730\pi$
$463$	5.19412	−	8.99648i	0.241391	−	0.418102i	0.961111	+	0.276163i	$0.0890630\pi$
$464$	5.96904	+	8.51149i	0.277106	+	0.395136i
$465$	7.47463	+	6.27196i	0.346628	+	0.290855i
$466$	3.66686	+	1.06807i	0.169864	+	0.0494773i
$467$	23.6707	−	13.6663i	1.09535	−	0.632400i	0.160353	−	0.987060i	$-0.448737\pi$
$467$	23.6707	−	13.6663i	1.09535	−	0.632400i	0.934995	+	0.354660i	$0.115403\pi$
$468$	−16.3781	+	5.17054i	−0.757078	+	0.239009i
$469$	1.11201	+	3.05522i	0.0513478	+	0.141077i
$470$	19.6456	−	13.1319i	0.906184	−	0.605731i
$471$	−0.964648	+	5.47079i	−0.0444486	+	0.252081i
$472$	−29.1958	−	23.4060i	−1.34385	−	1.07735i
$473$	0.128478	−	0.107806i	0.00590741	−	0.00495690i
$474$	1.96942	+	4.47363i	0.0904583	+	0.205481i
$475$	33.6814	−	9.34348i	1.54541	−	0.428708i
$476$	−32.8572	+	35.8835i	−1.50601	+	1.64472i
$477$	−23.3095	−	27.7792i	−1.06727	−	1.27192i
$478$	10.5794	−	0.695339i	0.483888	−	0.0318041i
$479$	−7.02555	+	39.8439i	−0.321006	+	1.82051i	0.215368	+	0.976533i	$0.430905\pi$
$479$	−7.02555	+	39.8439i	−0.321006	+	1.82051i	−0.536374	+	0.843980i	$0.680206\pi$
$480$	8.29018	−	6.66597i	0.378393	−	0.304259i
$481$	−17.6131	+	6.41066i	−0.803090	+	0.292301i
$482$	3.21070	−	29.3660i	0.146244	−	1.33759i
$483$	−9.02081	+	5.20817i	−0.410461	+	0.236980i
$484$	21.4289	−	2.82910i	0.974043	−	0.128595i
$485$	−11.1101	+	13.2405i	−0.504483	+	0.601219i
$486$	10.3764	−	14.1571i	0.470685	−	0.642178i
$487$	12.3436	−	21.3797i	0.559341	−	0.968807i	−0.438210	−	0.898872i	$-0.644387\pi$
$487$	12.3436	−	21.3797i	0.559341	−	0.968807i	0.997552	−	0.0699350i	$-0.0222792\pi$
$488$	14.4197	−	0.322506i	0.652747	−	0.0145991i
$489$	1.31317	+	7.44736i	0.0593836	+	0.336781i
$490$	30.3291	−	7.42732i	1.37013	−	0.335532i
$491$	13.0447	−	35.8400i	0.588698	−	1.61744i	−0.184188	−	0.982891i	$-0.558966\pi$
$491$	13.0447	−	35.8400i	0.588698	−	1.61744i	0.772887	−	0.634544i	$-0.218812\pi$
$492$	0.688563	+	0.0298125i	0.0310428	+	0.00134405i
$493$			17.4556i			0.786163i
$494$	19.0627	+	3.61406i	0.857672	+	0.162604i
$495$	−4.31988			−0.194164
$496$	14.6866	+	14.6652i	0.659446	+	0.658488i
$497$	−23.6285	−	8.60006i	−1.05988	−	0.385765i
$498$	−1.10790	−	4.52405i	−0.0496462	−	0.202728i
$499$	34.4027	−	6.06613i	1.54008	−	0.271557i	0.661790	−	0.749689i	$-0.269797\pi$
$499$	34.4027	−	6.06613i	1.54008	−	0.271557i	0.878288	+	0.478132i	$0.158686\pi$
$500$	−20.1298	−	8.32947i	−0.900233	−	0.372505i
$501$	−6.82415	−	3.93993i	−0.304881	−	0.176023i
$502$	9.83358	−	13.4164i	0.438894	−	0.598805i
$503$	−18.2787	−	15.3377i	−0.815008	−	0.683873i	0.136789	−	0.990600i	$-0.456322\pi$
$503$	−18.2787	−	15.3377i	−0.815008	−	0.683873i	−0.951797	+	0.306727i	$0.900766\pi$
$504$	−23.8881	+	14.5135i	−1.06406	+	0.646482i
$505$	−2.22196	−	3.84854i	−0.0988758	−	0.171258i
$506$	−3.40398	−	0.372170i	−0.151325	−	0.0165450i
$507$	0.551425	+	1.51503i	0.0244896	+	0.0672847i
$508$	−10.8981	−	6.93727i	−0.483524	−	0.307792i
$509$	5.87494	+	1.03591i	0.260402	+	0.0459159i	0.302325	−	0.953205i	$-0.402237\pi$
$509$	5.87494	+	1.03591i	0.260402	+	0.0459159i	−0.0419228	+	0.999121i	$0.513348\pi$
$510$	17.8233	−	1.17146i	0.789230	−	0.0518729i
$511$	−9.29112	+	7.79618i	−0.411015	+	0.344883i
$512$	18.7934	−	12.6019i	0.830560	−	0.556930i
$513$	−11.7455	+	5.60340i	−0.518574	+	0.247396i
$514$	−36.8125	+	16.2059i	−1.62373	+	0.714810i
$515$	19.6613	+	23.4314i	0.866378	+	1.03251i
$516$	−0.353311	+	0.184085i	−0.0155537	+	0.00810391i
$517$	2.00126	+	0.352877i	0.0880154	+	0.0155195i
$518$	−25.3603	+	16.9519i	−1.11427	+	0.744823i
$519$	−6.75648	+	2.45916i	−0.296577	+	0.107945i
$520$	−21.1922	−	24.1385i	−0.929338	−	1.05854i
$521$	−5.49276	−	9.51375i	−0.240642	−	0.416805i	0.720255	−	0.693709i	$-0.244025\pi$
$521$	−5.49276	−	9.51375i	−0.240642	−	0.416805i	−0.960897	+	0.276904i	$0.910691\pi$
$522$	−2.80442	+	9.62803i	−0.122746	+	0.421407i
$523$	−17.0985	+	20.3773i	−0.747667	+	0.891035i	−0.997001	−	0.0773823i	$-0.975344\pi$
$523$	−17.0985	+	20.3773i	−0.747667	+	0.891035i	0.249334	+	0.968418i	$0.419788\pi$
$524$	−8.43547	+	38.1155i	−0.368505	+	1.66508i
$525$	−13.1096	−	7.56882i	−0.572149	−	0.330330i
$526$	4.79050	−	4.58758i	0.208876	−	0.200028i
$527$	6.05151	+	34.3198i	0.263608	+	1.49499i
$528$	0.911389	+	0.0790685i	0.0396631	+	0.00344101i
$529$	−6.99752	−	2.54689i	−0.304240	−	0.110734i
$530$	29.9854	−	60.8322i	1.30248	−	2.64238i
$531$		−	36.0960i		−	1.56643i
$532$	31.5324	−	1.66647i	1.36710	−	0.0722507i
$533$		−	2.08109i		−	0.0901422i
$534$	−1.94673	−	0.959580i	−0.0842431	−	0.0415251i
$535$	13.6184	+	4.95670i	0.588775	+	0.214297i
$536$	1.21997	−	2.22659i	0.0526946	−	0.0961739i
$537$	−0.960634	−	5.44802i	−0.0414544	−	0.235100i
$538$	9.65993	+	10.0872i	0.416469	+	0.434891i
$539$	2.32551	+	1.34263i	0.100167	+	0.0578313i
$540$	21.0355	+	4.65544i	0.905225	+	0.200338i
$541$	−27.5103	+	32.7855i	−1.18276	+	1.40956i	−0.291200	+	0.956662i	$0.594054\pi$
$541$	−27.5103	+	32.7855i	−1.18276	+	1.40956i	−0.891562	+	0.452898i	$0.850390\pi$
$542$	−22.0315	−	6.41726i	−0.946336	−	0.275645i
$543$	−1.71599	−	2.97217i	−0.0736400	−	0.127548i
$544$	37.9851	+	0.794297i	1.62860	+	0.0340552i
$545$	−13.4125	+	4.88177i	−0.574530	+	0.209112i
$546$	−4.66959	−	6.98578i	−0.199840	−	0.298964i
$547$	−20.2198	−	3.56530i	−0.864536	−	0.152441i	−0.276242	−	0.961088i	$-0.589089\pi$
$547$	−20.2198	−	3.56530i	−0.864536	−	0.152441i	−0.588294	+	0.808647i	$0.700200\pi$
$548$	0.305303	−	0.159072i	0.0130419	−	0.00679521i
$549$	8.94313	+	10.6580i	0.381683	+	0.454872i
$550$	−2.00503	−	4.55454i	−0.0854949	−	0.194206i
$551$	7.93975	−	8.08079i	0.338245	−	0.344253i
$552$	7.70375	+	2.61039i	0.327893	+	0.111105i
$553$	18.4006	−	15.4399i	0.782473	−	0.656573i
$554$	0.923506	+	14.0508i	0.0392360	+	0.596963i
$555$	11.0285	+	1.94463i	0.468135	+	0.0825448i
$556$	10.4389	−	16.3989i	0.442706	−	0.695467i
$557$	3.60818	+	9.91340i	0.152884	+	0.420044i	0.992364	−	0.123346i	$-0.0393626\pi$
$557$	3.60818	+	9.91340i	0.152884	+	0.420044i	−0.839480	+	0.543390i	$0.817140\pi$
$558$	−2.17597	+	19.9020i	−0.0921160	+	0.842520i
$559$	0.601481	+	1.04180i	0.0254399	+	0.0440633i
$560$	−42.8438	−	29.9531i	−1.81048	−	1.26575i
$561$	1.17668	+	0.987354i	0.0496796	+	0.0416861i
$562$	15.3897	+	11.2799i	0.649173	+	0.475812i
$563$	−36.5165	−	21.0828i	−1.53899	−	0.888534i	−0.998898	−	0.0469245i	$-0.985058\pi$
$563$	−36.5165	−	21.0828i	−1.53899	−	0.888534i	−0.540087	−	0.841609i	$-0.681609\pi$
$564$	−4.46036	−	1.84564i	−0.187815	−	0.0777156i
$565$	14.6577	−	2.58455i	0.616654	−	0.108733i
$566$	−19.0156	+	4.65675i	−0.799284	+	0.195738i
$567$	−22.5630	−	8.21226i	−0.947557	−	0.344882i
$568$	7.12658	+	18.2964i	0.299025	+	0.767701i
$569$	8.23726			0.345324			0.172662	−	0.984981i	$-0.444763\pi$
$569$	8.23726			0.345324			0.172662	+	0.984981i	$0.444763\pi$
$570$	−8.78384	−	7.56468i	−0.367915	−	0.316850i
$571$		−	13.0718i		−	0.547038i	−0.961867	−	0.273519i	$-0.911812\pi$
$571$		−	13.0718i		−	0.547038i	0.961867	−	0.273519i	$-0.0881877\pi$
$572$	0.119487	−	2.75973i	0.00499601	−	0.115390i
$573$	2.48522	−	6.82809i	0.103822	−	0.285248i
$574$	−0.805615	−	3.28969i	−0.0336257	−	0.137309i
$575$	−7.68338	−	43.5746i	−0.320419	−	1.81719i
$576$	20.8239	+	6.54078i	0.867662	+	0.272533i
$577$	14.4695	−	25.0619i	0.602374	−	1.04334i	−0.390087	−	0.920778i	$-0.627555\pi$
$577$	14.4695	−	25.0619i	0.602374	−	1.04334i	0.992461	−	0.122564i	$-0.0391116\pi$
$578$	32.0626	+	23.5003i	1.33363	+	0.977484i
$579$	3.57247	−	4.25750i	0.148467	−	0.176936i
$580$	−18.5937	+	2.45479i	−0.772063	+	0.101930i
$581$	−19.8224	+	11.4445i	−0.822373	+	0.474797i
$582$	3.50984	+	0.383745i	0.145488	+	0.0159067i
$583$	5.48063	−	1.99479i	0.226985	−	0.0826156i
$584$	9.36171	+	1.43568i	0.387390	+	0.0594088i
$585$	5.38048	−	30.5142i	0.222455	−	1.26161i
$586$	−0.867647	−	13.2010i	−0.0358421	−	0.545327i
$587$	27.2123	+	32.4304i	1.12317	+	1.33855i	0.934277	+	0.356548i	$0.116046\pi$
$587$	27.2123	+	32.4304i	1.12317	+	1.33855i	0.188896	+	0.981997i	$0.439509\pi$
$588$	−4.70435	−	4.30760i	−0.194004	−	0.177642i
$589$	12.8090	−	18.6403i	0.527786	−	0.768061i
$590$	61.7862	−	27.2000i	2.54370	−	1.11981i
$591$	7.81667	−	6.55896i	0.321535	−	0.269800i
$592$	23.0133	+	6.14845i	0.945839	+	0.252700i
$593$	4.67524	−	26.5146i	0.191989	−	1.08882i	−0.724653	−	0.689114i	$-0.758000\pi$
$593$	4.67524	−	26.5146i	0.191989	−	1.08882i	0.916642	−	0.399710i	$-0.130889\pi$
$594$	1.02962	+	1.54032i	0.0422456	+	0.0632002i
$595$	−30.0212	−	82.4825i	−1.23075	−	3.38145i
$596$	21.1791	−	6.68621i	0.867530	−	0.273878i
$597$	−4.51058	+	2.60419i	−0.184606	+	0.106582i
$598$	6.86858	−	23.5810i	0.280877	−	0.964299i
$599$	21.1301	+	17.7303i	0.863354	+	0.724440i	0.962688	−	0.270614i	$-0.0872267\pi$
$599$	21.1301	+	17.7303i	0.863354	+	0.724440i	−0.0993337	+	0.995054i	$0.531671\pi$
$600$	2.31245	+	11.5924i	0.0944053	+	0.473258i
$601$	16.5323	−	28.6348i	0.674367	−	1.16804i	−0.302287	−	0.953217i	$-0.597750\pi$
$601$	16.5323	−	28.6348i	0.674367	−	1.16804i	0.976654	−	0.214821i	$-0.0689167\pi$
$602$	1.35408	+	1.41398i	0.0551882	+	0.0576294i
$603$	2.41188	−	0.425279i	0.0982192	−	0.0173187i
$604$	−18.8423	−	24.5372i	−0.766681	−	0.998406i
$605$	−13.3371	+	36.6433i	−0.542230	+	1.48976i
$606$	−0.401356	+	0.814242i	−0.0163040	+	0.0330763i
$607$	40.8887			1.65962			0.829811	−	0.558045i	$-0.188448\pi$
$607$	40.8887			1.65962			0.829811	+	0.558045i	$0.188448\pi$
$608$	−17.2233	−	17.6454i	−0.698496	−	0.715614i
$609$	−4.90623			−0.198810
$610$	−11.5044	+	23.3394i	−0.465802	+	0.944985i
$611$	−4.98520	+	13.6967i	−0.201680	+	0.554110i
$612$	22.3213	+	29.0678i	0.902285	+	1.17500i
$613$	−35.2118	+	6.20880i	−1.42219	+	0.250771i	−0.831230	−	0.555928i	$-0.812363\pi$
$613$	−35.2118	+	6.20880i	−1.42219	+	0.250771i	−0.590962	+	0.806699i	$0.701252\pi$
$614$	−12.1137	−	12.6496i	−0.488871	−	0.510495i
$615$	−0.621694	+	1.07681i	−0.0250691	+	0.0434210i
$616$	−0.879444	−	4.40870i	−0.0354338	−	0.177631i
$617$	3.08965	+	2.59252i	0.124384	+	0.104371i	0.702858	−	0.711330i	$-0.251907\pi$
$617$	3.08965	+	2.59252i	0.124384	+	0.104371i	−0.578474	+	0.815701i	$0.696351\pi$
$618$	1.74736	−	5.99900i	0.0702893	−	0.241315i
$619$	−31.7781	+	18.3471i	−1.27727	+	0.737432i	−0.976346	−	0.216216i	$-0.930628\pi$
$619$	−31.7781	+	18.3471i	−1.27727	+	0.737432i	−0.300924	+	0.953648i	$0.597295\pi$
$620$	−35.7064	+	11.2725i	−1.43400	+	0.452713i
$621$	5.63432	+	15.4802i	0.226098	+	0.621198i
$622$	10.4407	+	15.6195i	0.418635	+	0.626285i
$623$	−1.85207	+	10.5036i	−0.0742016	+	0.420818i
$624$	−1.69366	+	6.33926i	−0.0678007	+	0.253774i
$625$	−0.606854	+	0.509211i	−0.0242742	+	0.0203684i
$626$	−23.0976	+	10.1682i	−0.923164	+	0.406402i
$627$	−0.0956244	−	0.992297i	−0.00381887	−	0.0396285i
$628$	−15.7222	−	14.3963i	−0.627386	−	0.574474i
$629$	25.7093	+	30.6392i	1.02510	+	1.22166i
$630$	−3.30721	−	50.3181i	−0.131762	−	2.00472i
$631$	0.183226	−	1.03913i	0.00729412	−	0.0413670i	−0.980943	−	0.194293i	$-0.937759\pi$
$631$	0.183226	−	1.03913i	0.00729412	−	0.0413670i	0.988238	+	0.152926i	$0.0488697\pi$
$632$	−18.5404	−	2.84329i	−0.737497	−	0.113100i
$633$	3.78798	−	1.37871i	0.150559	−	0.0547989i
$634$	−9.29087	−	1.01581i	−0.368988	−	0.0403428i
$635$	20.1840	−	11.6532i	0.800978	−	0.462445i
$636$	−13.7350	+	1.81333i	−0.544629	+	0.0719033i
$637$	−12.3804	+	14.7543i	−0.490527	+	0.584588i
$638$	−1.30087	−	0.953470i	−0.0515017	−	0.0377482i
$639$	−9.47037	+	16.4032i	−0.374642	+	0.648899i
$640$	4.49577	+	40.5734i	0.177711	+	1.60381i
$641$	−0.252757	−	1.43346i	−0.00998330	−	0.0566181i	0.979409	−	0.201885i	$-0.0647069\pi$
$641$	−0.252757	−	1.43346i	−0.00998330	−	0.0566181i	−0.989392	+	0.145267i	$0.953596\pi$
$642$	−0.704182	−	2.87549i	−0.0277918	−	0.113486i
$643$	−4.69667	+	12.9040i	−0.185218	+	0.508884i	−0.997198	−	0.0748018i	$-0.976168\pi$
$643$	−4.69667	+	12.9040i	−0.185218	+	0.508884i	0.811980	+	0.583685i	$0.198390\pi$
$644$	1.72903	−	39.9345i	0.0681335	−	1.57364i
$645$		−	0.718732i		−	0.0283001i
$646$	−6.66570	−	40.8623i	−0.262258	−	1.60770i
$647$	−18.7166			−0.735825			−0.367913	−	0.929860i	$-0.619927\pi$
$647$	−18.7166			−0.735825			−0.367913	+	0.929860i	$0.619927\pi$
$648$	6.80522	+	17.4714i	0.267334	+	0.686341i
$649$	5.45537	+	1.98559i	0.214142	+	0.0779413i
$650$	34.6690	−	8.49013i	1.35983	−	0.333010i
$651$	−9.64621	+	1.70089i	−0.378065	+	0.0666630i
$652$	−26.8147	−	11.0956i	−1.05014	−	0.434536i
$653$	−16.6282	−	9.60032i	−0.650714	−	0.375690i	0.138016	−	0.990430i	$-0.455927\pi$
$653$	−16.6282	−	9.60032i	−0.650714	−	0.375690i	−0.788730	+	0.614740i	$0.789261\pi$
$654$	2.35167	+	1.72366i	0.0919575	+	0.0674003i
$655$	−53.9505	−	45.2699i	−2.10802	−	1.76884i
$656$	−1.51541	+	2.16759i	−0.0591669	+	0.0846300i
$657$	4.56805	+	7.91210i	0.178217	+	0.308681i
$658$	−2.57819	+	23.5809i	−0.100508	+	0.919280i
$659$	−0.514540	−	1.41369i	−0.0200436	−	0.0550694i	0.929267	−	0.369408i	$-0.120440\pi$
$659$	−0.514540	−	1.41369i	−0.0200436	−	0.0550694i	−0.949311	+	0.314339i	$0.898217\pi$
$660$	−0.886252	+	1.39225i	−0.0344973	+	0.0541934i
$661$	29.4696	+	5.19629i	1.14624	+	0.202112i	0.714332	−	0.699807i	$-0.246731\pi$
$661$	29.4696	+	5.19629i	1.14624	+	0.202112i	0.431904	+	0.901920i	$0.357842\pi$
$662$	2.91195	+	44.3043i	0.113176	+	1.72194i
$663$	−8.43991	+	7.08193i	−0.327779	+	0.275039i
$664$	16.9283	+	5.73609i	0.656946	+	0.222603i
$665$	−23.6196	+	51.8391i	−0.915930	+	2.01023i
$666$	9.25805	+	21.0301i	0.358742	+	0.814901i
$667$	−9.21806	−	10.9857i	−0.356925	−	0.425366i
$668$	26.8167	−	13.9723i	1.03757	−	0.540604i
$669$	3.15076	+	0.555563i	0.121815	+	0.0214793i
$670$	2.54542	+	3.80799i	0.0983381	+	0.147115i
$671$	−2.10275	+	0.765337i	−0.0811756	+	0.0295455i
$672$	−0.223252	+	10.6764i	−0.00861213	+	0.411852i
$673$	−24.4237	−	42.3031i	−0.941464	−	1.63066i	−0.762681	−	0.646775i	$-0.776117\pi$
$673$	−24.4237	−	42.3031i	−0.941464	−	1.63066i	−0.178783	−	0.983889i	$-0.557216\pi$
$674$	38.4324	+	11.1944i	1.48036	+	0.431193i
$675$	−15.3887	+	18.3395i	−0.592310	+	0.705887i
$676$	−6.04076	−	1.33690i	−0.232337	−	0.0514193i
$677$	−16.9015	−	9.75807i	−0.649576	−	0.375033i	0.138718	−	0.990332i	$-0.455702\pi$
$677$	−16.9015	−	9.75807i	−0.649576	−	0.375033i	−0.788294	+	0.615299i	$0.789035\pi$
$678$	−2.10288	−	2.19590i	−0.0807608	−	0.0843331i
$679$	−3.01293	−	17.0872i	−0.115626	−	0.655747i
$680$	−32.9358	+	60.1117i	−1.26303	+	2.30518i
$681$	−11.0319	−	4.01529i	−0.422744	−	0.153866i
$682$	−2.88820	−	1.42365i	−0.110595	−	0.0545143i
$683$			28.6592i			1.09662i	0.836277	+	0.548308i	$0.184728\pi$
$683$			28.6592i			1.09662i	−0.836277	+	0.548308i	$0.815272\pi$
$684$	2.88831	−	23.6094i	0.110437	−	0.902726i
$685$			0.621071i			0.0237299i
$686$	1.99446	−	4.04622i	0.0761488	−	0.154485i
$687$	1.40700	+	0.512107i	0.0536804	+	0.0195381i
$688$	0.132136	−	1.52308i	0.00503765	−	0.0580669i
$689$	7.26429	+	41.1979i	0.276748	+	1.56951i
$690$	−10.5984	+	10.1495i	−0.403475	+	0.386384i
$691$	12.0352	+	6.94855i	0.457842	+	0.264335i	0.711136	−	0.703054i	$-0.248181\pi$
$691$	12.0352	+	6.94855i	0.457842	+	0.264335i	−0.253295	+	0.967389i	$0.581514\pi$
$692$	5.96210	−	26.9396i	0.226645	−	1.02409i
$693$	2.78746	−	3.32197i	0.105887	−	0.126191i
$694$	−3.78871	+	13.0073i	−0.143817	+	0.493750i
$695$	17.5352	+	30.3719i	0.665148	+	1.15207i
$696$	2.52767	+	2.87908i	0.0958110	+	0.109131i
$697$	−4.17302	+	1.51885i	−0.158064	+	0.0575307i
$698$	33.7581	−	22.5653i	1.27776	−	0.854110i
$699$	1.38613	+	0.244412i	0.0524282	+	0.00924450i
$700$	51.5164	−	26.8415i	1.94714	−	1.01451i
$701$	−2.84915	−	3.39548i	−0.107611	−	0.128246i	0.709551	−	0.704655i	$-0.248898\pi$
$701$	−2.84915	−	3.39548i	−0.107611	−	0.128246i	−0.817161	+	0.576409i	$0.804454\pi$
$702$	−12.1627	+	5.35436i	−0.459052	+	0.202087i
$703$	2.03463	−	25.8779i	0.0767375	−	0.976002i
$704$	−2.13404	+	2.78742i	−0.0804295	+	0.105055i
$705$	6.67114	−	5.59775i	0.251250	−	0.210824i
$706$	25.7086	−	1.68972i	0.967555	−	0.0635935i
$707$	4.39326	+	0.774650i	0.165225	+	0.0291337i
$708$	−11.6334	−	7.40532i	−0.437208	−	0.278309i
$709$	−9.17608	−	25.2111i	−0.344615	−	0.946822i	−0.984037	−	0.177966i	$-0.943048\pi$
$709$	−9.17608	−	25.2111i	−0.344615	−	0.946822i	0.639422	−	0.768856i	$-0.279174\pi$
$710$	−35.2140	−	3.85008i	−1.32156	−	0.144491i
$711$	−9.04680	−	15.6695i	−0.339281	−	0.587653i
$712$	7.11792	−	4.32458i	0.266755	−	0.162070i
$713$	−21.9322	−	18.4033i	−0.821369	−	0.689211i
$714$	−10.5999	+	14.4619i	−0.396691	+	0.541224i
$715$	4.31579	+	2.49172i	0.161401	+	0.0931852i
$716$	19.6159	+	8.11683i	0.733081	+	0.303340i
$717$	3.84788	−	0.678484i	0.143702	−	0.0253385i
$718$	−7.69998	−	31.4425i	−0.287361	−	1.17342i
$719$	−2.76943	−	1.00799i	−0.103282	−	0.0375916i	0.289862	−	0.957068i	$-0.406391\pi$
$719$	−2.76943	−	1.00799i	−0.103282	−	0.0375916i	−0.393144	+	0.919477i	$0.628613\pi$
$720$	−27.8239	+	27.8644i	−1.03694	+	1.03845i
$721$	−30.7053			−1.14352
$722$	−15.5006	+	21.9484i	−0.576871	+	0.816835i
$723$		−	10.8868i		−	0.404885i
$724$	13.1576	+	0.569681i	0.488999	+	0.0211720i
$725$	7.12798	−	19.5840i	0.264727	−	0.727330i
$726$	7.73714	−	1.89476i	0.287152	−	0.0703210i
$727$	6.04291	+	34.2710i	0.224119	+	1.27104i	0.864362	+	0.502870i	$0.167722\pi$
$727$	6.04291	+	34.2710i	0.224119	+	1.27104i	−0.640243	+	0.768172i	$0.721166\pi$
$728$	32.2369	−	0.721001i	1.19478	−	0.0267221i
$729$	−6.70932	+	11.6209i	−0.248493	+	0.430403i
$730$	−10.1011	+	13.7814i	−0.373857	+	0.510071i
$731$	1.65003	−	1.96643i	0.0610286	−	0.0727310i
$732$	5.26970	−	0.695719i	0.194774	−	0.0257145i
$733$	1.42948	−	0.825308i	0.0527989	−	0.0304835i	−0.473368	−	0.880865i	$-0.656962\pi$
$733$	1.42948	−	0.825308i	0.0527989	−	0.0304835i	0.526167	+	0.850381i	$0.323629\pi$
$734$	1.43834	−	13.1555i	0.0530903	−	0.485579i
$735$	10.8135	−	3.93579i	0.398862	−	0.145174i
$736$	−24.3253	+	19.5595i	−0.896641	+	0.720972i
$737$	−0.0683996	+	0.387913i	−0.00251953	+	0.0142890i
$738$	−2.54573	+	0.167321i	−0.0937097	+	0.00615917i
$739$	−3.40363	−	4.05629i	−0.125204	−	0.149213i	0.699801	−	0.714338i	$-0.253272\pi$
$739$	−3.40363	−	4.05629i	−0.125204	−	0.149213i	−0.825005	+	0.565125i	$0.808828\pi$
$740$	−29.0213	+	31.6944i	−1.06685	+	1.16511i
$741$	7.12835	+	0.560461i	0.261867	+	0.0205891i
$742$	27.4312	+	62.3114i	1.00703	+	2.28752i
$743$	19.8541	−	16.6596i	0.728376	−	0.611180i	−0.201313	−	0.979527i	$-0.564521\pi$
$743$	19.8541	−	16.6596i	0.728376	−	0.611180i	0.929688	+	0.368347i	$0.120076\pi$
$744$	5.96780	+	4.78432i	0.218790	+	0.175402i
$745$	−6.95768	+	39.4590i	−0.254910	+	1.44567i
$746$	12.7970	−	8.55404i	0.468531	−	0.313186i
$747$	5.89692	+	16.2016i	0.215757	+	0.592787i
$748$	−5.62103	+	1.77455i	−0.205525	+	0.0648840i
$749$	−12.5991	+	7.27411i	−0.460362	+	0.265790i
$750$	−7.70816	−	2.24520i	−0.281462	−	0.0819832i
$751$	9.20184	+	7.72126i	0.335780	+	0.281753i	0.795050	−	0.606544i	$-0.207445\pi$
$751$	9.20184	+	7.72126i	0.335780	+	0.281753i	−0.459270	+	0.888297i	$0.651889\pi$
$752$	15.1661	−	10.6358i	0.553050	−	0.387849i
$753$	3.06513	−	5.30896i	0.111700	−	0.193469i
$754$	8.35524	−	8.00131i	0.304280	−	0.291391i
$755$	54.9652	−	9.69185i	2.00039	−	0.352723i
$756$	−17.1535	+	13.1722i	−0.623866	+	0.479069i
$757$	18.1225	−	49.7911i	0.658673	−	1.80969i	0.0758026	−	0.997123i	$-0.475848\pi$
$757$	18.1225	−	49.7911i	0.658673	−	1.80969i	0.582870	−	0.812565i	$-0.301930\pi$
$758$	13.2108	+	6.51185i	0.479837	+	0.236521i
$759$	−1.26195			−0.0458058
$760$	42.5891	−	12.8468i	1.54487	−	0.466001i
$761$	−5.98803			−0.217066			−0.108533	−	0.994093i	$-0.534615\pi$
$761$	−5.98803			−0.217066			−0.108533	+	0.994093i	$0.534615\pi$
$762$	−4.27036	−	2.10494i	−0.154699	−	0.0762541i
$763$	4.90057	−	13.4642i	0.177413	−	0.487437i
$764$	16.9827	+	22.1156i	0.614412	+	0.800115i
$765$	−65.1140	+	11.4814i	−2.35420	+	0.415109i
$766$	21.9247	−	20.9959i	0.792170	−	0.758614i
$767$	−20.8203	+	36.0618i	−0.751777	+	1.30212i
$768$	6.38018	−	5.36944i	0.230225	−	0.193753i
$769$	26.6631	+	22.3730i	0.961495	+	0.806790i	0.981196	−	0.193016i	$-0.0618269\pi$
$769$	26.6631	+	22.3730i	0.961495	+	0.806790i	−0.0197007	+	0.999806i	$0.506271\pi$
$770$	7.78676	+	2.26810i	0.280615	+	0.0817366i
$771$	−12.8371	+	7.41149i	−0.462316	+	0.266918i
$772$	6.42071	+	20.3381i	0.231086	+	0.731985i
$773$	−3.40354	−	9.35115i	−0.122417	−	0.336337i	0.863314	−	0.504667i	$-0.168385\pi$
$773$	−3.40354	−	9.35115i	−0.122417	−	0.336337i	−0.985731	+	0.168330i	$0.946163\pi$
$774$	1.22603	−	0.819533i	0.0440689	−	0.0294575i
$775$	7.22508	−	40.9755i	0.259532	−	1.47188i
$776$	−8.47490	+	10.5713i	−0.304231	+	0.379488i
$777$	−8.61171	+	7.22608i	−0.308943	+	0.259234i
$778$	10.6595	+	24.2137i	0.382163	+	0.868103i
$779$	2.62268	+	1.19498i	0.0939673	+	0.0428146i
$780$	−8.73057	−	7.99425i	−0.312604	−	0.286240i
$781$	−1.95814	−	2.33362i	−0.0700678	−	0.0835035i
$782$	−52.2976	+	3.43731i	−1.87016	+	0.122918i
$783$	−1.34739	+	7.64143i	−0.0481518	+	0.273082i
$784$	23.6387	−	6.35240i	0.844239	−	0.226871i
$785$	36.1394	−	13.1537i	1.28987	−	0.469475i
$786$	−1.56363	+	14.3014i	−0.0557729	+	0.510115i
$787$	−32.6750	+	18.8649i	−1.16474	+	0.672461i	−0.952435	−	0.304743i	$-0.901429\pi$
$787$	−32.6750	+	18.8649i	−1.16474	+	0.672461i	−0.212302	+	0.977204i	$0.568096\pi$
$788$	5.12511	+	38.8200i	0.182575	+	1.38291i
$789$	1.57124	−	1.87253i	0.0559377	−	0.0666639i
$790$	20.0046	−	27.2933i	0.711733	−	0.971051i
$791$	−7.47057	+	12.9394i	−0.265623	+	0.460072i
$792$	−3.38549	+	0.0757189i	−0.120298	+	0.00269055i
$793$	−2.78708	−	15.8063i	−0.0989722	−	0.561299i
$794$	0.0322808	−	0.00790529i	0.00114560	−	0.000280548i
$795$	8.54850	−	23.4868i	0.303184	−	0.832991i
$796$	0.864551	−	19.9681i	0.0306432	−	0.707749i
$797$		−	18.2325i		−	0.645830i	−0.946428	−	0.322915i	$-0.895337\pi$
$797$		−	18.2325i		−	0.645830i	0.946428	−	0.322915i	$-0.104663\pi$
$798$	11.4851	−	1.87352i	0.406568	−	0.0663218i
$799$	31.1031			1.10035
$800$	−42.2922	−	16.4023i	−1.49526	−	0.579909i
$801$	7.54953	+	2.74780i	0.266749	+	0.0970889i
$802$	−4.26596	−	17.4198i	−0.150636	−	0.615116i
$803$	−1.44708	+	0.255159i	−0.0510663	+	0.00900437i
$804$	0.357749	−	0.864571i	0.0126168	−	0.0304911i
$805$	62.4515	+	36.0564i	2.20112	+	1.27082i
$806$	13.6535	−	18.6281i	0.480923	−	0.656146i
$807$	3.94294	+	3.30852i	0.138798	+	0.116465i
$808$	−1.80881	−	2.97716i	−0.0636336	−	0.104736i
$809$	−18.6895	−	32.3711i	−0.657086	−	1.13811i	−0.981366	−	0.192146i	$-0.938455\pi$
$809$	−18.6895	−	32.3711i	−0.657086	−	1.13811i	0.324280	−	0.945961i	$-0.394878\pi$
$810$	−33.6261	−	3.67647i	−1.18150	−	0.129178i
$811$	−2.07199	−	5.69274i	−0.0727574	−	0.199899i	0.897983	−	0.440030i	$-0.145032\pi$
$811$	−2.07199	−	5.69274i	−0.0727574	−	0.199899i	−0.970741	+	0.240130i	$0.922810\pi$
$812$	10.1101	−	15.8825i	0.354796	−	0.557365i
$813$	−8.32826	−	1.46850i	−0.292085	−	0.0515024i
$814$	−3.68766	+	0.242376i	−0.129253	+	0.00849526i
$815$	40.1053	−	33.6523i	1.40483	−	1.17879i
$816$	13.9476	−	1.23048i	0.488264	−	0.0430753i
$817$	−1.65829	+	0.159804i	−0.0580162	+	0.00559083i
$818$	−13.6060	+	5.98974i	−0.475723	+	0.209426i
$819$	19.9934	+	23.8273i	0.698627	+	0.832592i
$820$	−2.20473	−	4.23150i	−0.0769926	−	0.147770i
$821$	3.02314	+	0.533062i	0.105508	+	0.0186040i	0.226153	−	0.974092i	$-0.427385\pi$
$821$	3.02314	+	0.533062i	0.105508	+	0.0186040i	−0.120645	+	0.992696i	$0.538496\pi$
$822$	0.105476	−	0.0705044i	0.00367889	−	0.00245912i
$823$	−43.8007	+	15.9421i	−1.52680	+	0.555708i	−0.962834	−	0.270093i	$-0.912945\pi$
$823$	−43.8007	+	15.9421i	−1.52680	+	0.555708i	−0.563961	+	0.825801i	$0.690723\pi$
$824$	15.8192	+	18.0185i	0.551089	+	0.627706i
$825$	−0.916969	−	1.58824i	−0.0319248	−	0.0552953i
$826$	−18.9517	+	65.0644i	−0.659415	+	2.26388i
$827$	2.44449	−	2.91324i	0.0850034	−	0.101303i	−0.721866	−	0.692033i	$-0.756715\pi$
$827$	2.44449	−	2.91324i	0.0850034	−	0.101303i	0.806870	+	0.590729i	$0.201160\pi$
$828$	−29.3981	−	6.50619i	−1.02165	−	0.226106i
$829$	0.877638	+	0.506704i	0.0304816	+	0.0175986i	0.515163	−	0.857092i	$-0.327731\pi$
$829$	0.877638	+	0.506704i	0.0304816	+	0.0175986i	−0.484682	+	0.874691i	$0.661065\pi$
$830$	−23.2891	+	22.3025i	−0.808375	+	0.774133i
$831$	0.901122	+	5.11051i	0.0312596	+	0.177282i
$832$	−17.0314	−	18.5459i	−0.590458	−	0.642962i
$833$	38.6210	+	14.0569i	1.33814	+	0.487043i
$834$	3.16741	−	6.42582i	0.109678	−	0.222508i
$835$			54.5526i			1.88787i
$836$	3.40932	+	1.73524i	0.117914	+	0.0600146i
$837$			15.4910i			0.535448i
$838$	−38.5663	−	19.0101i	−1.33225	−	0.656692i
$839$	−13.3269	−	4.85058i	−0.460095	−	0.167461i	0.101565	−	0.994829i	$-0.467615\pi$
$839$	−13.3269	−	4.85058i	−0.460095	−	0.167461i	−0.561660	+	0.827368i	$0.689837\pi$
$840$	−16.8955	−	9.25721i	−0.582950	−	0.319404i
$841$	3.86286	+	21.9074i	0.133202	+	0.755426i
$842$	−31.8709	−	33.2807i	−1.09834	−	1.14693i
$843$	6.08978	+	3.51594i	0.209743	+	0.121095i
$844$	−3.34261	+	15.1035i	−0.115057	+	0.519885i
$845$	7.17462	−	8.55038i	0.246815	−	0.294142i
$846$	17.1556	+	4.99701i	0.589820	+	0.171801i
$847$	−19.5726	−	33.9008i	−0.672523	−	1.16484i
$848$	22.4333	−	48.1998i	0.770362	−	1.65519i
$849$	−6.77980	+	2.46765i	−0.232682	+	0.0846894i
$850$	−42.3271	−	63.3220i	−1.45181	−	2.17193i
$851$	−32.3602	−	5.70597i	−1.10929	−	0.195598i
$852$	3.34366	+	6.41741i	0.114552	+	0.219857i
$853$	10.9246	+	13.0194i	0.374050	+	0.445775i	0.919927	−	0.392090i	$-0.128248\pi$
$853$	10.9246	+	13.0194i	0.374050	+	0.445775i	−0.545877	+	0.837865i	$0.683803\pi$
$854$	−10.5245	−	23.9069i	−0.360141	−	0.818078i
$855$	35.3658	+	24.3022i	1.20948	+	0.831118i
$856$	10.7596	+	3.64586i	0.367757	+	0.124613i
$857$	7.76836	−	6.51843i	0.265362	−	0.222665i	−0.500392	−	0.865799i	$-0.666811\pi$
$857$	7.76836	−	6.51843i	0.265362	−	0.222665i	0.765754	+	0.643134i	$0.222366\pi$
$858$	−0.0667651	−	1.01581i	−0.00227932	−	0.0346791i
$859$	−16.0564	−	2.83118i	−0.547839	−	0.0965988i	−0.107124	−	0.994246i	$-0.534164\pi$
$859$	−16.0564	−	2.83118i	−0.547839	−	0.0965988i	−0.440715	+	0.897647i	$0.645275\pi$
$860$	2.32668	+	1.48107i	0.0793392	+	0.0505041i
$861$	−0.426902	−	1.17290i	−0.0145488	−	0.0399724i
$862$	−4.76748	+	43.6048i	−0.162381	+	1.48519i
$863$	19.8160	+	34.3223i	0.674545	+	1.16835i	0.976602	+	0.215056i	$0.0689933\pi$
$863$	19.8160	+	34.3223i	0.674545	+	1.16835i	−0.302057	+	0.953290i	$0.597673\pi$
$864$	16.5672	+	3.27976i	0.563626	+	0.111580i
$865$	38.1317	+	31.9963i	1.29652	+	1.08791i
$866$	−31.8956	−	23.3779i	−1.08386	−	0.794414i
$867$	12.6874	+	7.32506i	0.430886	+	0.248772i
$868$	14.3716	−	34.7317i	0.487803	−	1.17887i
$869$	2.86587	−	0.505329i	0.0972178	−	0.0171421i
$870$	−6.71346	+	1.64407i	−0.227608	+	0.0557391i
$871$	−2.65489	−	0.966303i	−0.0899577	−	0.0327419i
$872$	−10.4258	+	4.06094i	−0.353064	+	0.137521i
$873$	−13.0697			−0.442343
$874$	25.7738	+	22.1965i	0.871811	+	0.750807i
$875$			39.4535i			1.33377i
$876$	3.48715	+	0.150982i	0.117820	+	0.00510122i
$877$	2.92760	−	8.04352i	0.0988581	−	0.271610i	−0.880398	−	0.474235i	$-0.842725\pi$
$877$	2.92760	−	8.04352i	0.0988581	−	0.271610i	0.979257	+	0.202624i	$0.0649470\pi$
$878$	−8.33630	−	34.0408i	−0.281336	−	1.14882i
$879$	−0.846616	−	4.80140i	−0.0285556	−	0.161947i
$880$	−2.68073	−	5.73796i	−0.0903675	−	0.193426i
$881$	10.6857	−	18.5082i	0.360010	−	0.623556i	−0.627952	−	0.778252i	$-0.716107\pi$
$881$	10.6857	−	18.5082i	0.360010	−	0.623556i	0.987962	+	0.154696i	$0.0494399\pi$
$882$	19.0439	+	13.9582i	0.641240	+	0.469998i
$883$	18.3568	−	21.8768i	0.617755	−	0.736212i	−0.362927	−	0.931817i	$-0.618223\pi$
$883$	18.3568	−	21.8768i	0.617755	−	0.736212i	0.980683	+	0.195605i	$0.0626671\pi$
$884$	−5.53375	−	41.9153i	−0.186120	−	1.40976i
$885$	21.5458	−	12.4395i	0.724254	−	0.418148i
$886$	−7.36446	−	0.805185i	−0.247414	−	0.0270507i
$887$	−43.5438	+	15.8486i	−1.46206	+	0.532146i	−0.945931	−	0.324367i	$-0.894849\pi$
$887$	−43.5438	+	15.8486i	−1.46206	+	0.532146i	−0.516127	+	0.856512i	$0.672627\pi$
$888$	8.67714	+	1.33070i	0.291186	+	0.0446552i
$889$	−4.06272	+	23.0408i	−0.136259	+	0.772764i
$890$	0.985448	+	14.9933i	0.0330323	+	0.502575i
$891$	−1.86984	−	2.22839i	−0.0626421	−	0.0746539i
$892$	−8.29115	+	9.05481i	−0.277608	+	0.303177i
$893$	−14.3986	−	14.1473i	−0.481832	−	0.473422i
$894$	7.49112	−	3.29780i	0.250540	−	0.110295i
$895$	−29.3385	+	24.6180i	−0.980679	+	0.822887i
$896$	−34.1017	−	22.7233i	−1.13926	−	0.759133i
$897$	1.57177	−	8.91397i	0.0524800	−	0.297629i
$898$	−20.0027	−	29.9244i	−0.667499	−	0.998591i
$899$	−4.61226	−	12.6721i	−0.153827	−	0.422638i
$900$	−13.1731	−	41.7268i	−0.439103	−	1.39089i
$901$	77.3083	−	44.6340i	2.57551	−	1.48697i
$902$	0.114749	−	0.393954i	0.00382073	−	0.0131172i
$903$	0.552701	+	0.463772i	0.0183928	+	0.0154334i
$904$	11.4419	−	2.28243i	0.380553	−	0.0759125i
$905$	−11.8798	+	20.5765i	−0.394899	+	0.683985i
$906$	−7.88565	−	8.23446i	−0.261983	−	0.273572i
$907$	−49.7852	+	8.77847i	−1.65309	+	0.291484i	−0.920953	−	0.389674i	$-0.872588\pi$
$907$	−49.7852	+	8.77847i	−1.65309	+	0.291484i	−0.732137	+	0.681158i	$0.761477\pi$
$908$	35.7315	−	27.4384i	1.18579	−	0.910575i
$909$	1.14930	−	3.15768i	0.0381199	−	0.104734i
$910$	−25.7196	+	52.1781i	−0.852596	+	1.72969i
$911$	−35.4145			−1.17333			−0.586667	−	0.809828i	$-0.699560\pi$
$911$	−35.4145			−1.17333			−0.586667	+	0.809828i	$0.699560\pi$
$912$	−7.01649	−	5.77448i	−0.232339	−	0.191212i
$913$	−2.77302			−0.0917735
$914$	−22.6740	+	45.9994i	−0.749989	+	1.52152i
$915$	−3.27979	+	9.01116i	−0.108427	+	0.297900i
$916$	−4.55716	+	3.49947i	−0.150573	+	0.115626i
$917$	69.6246	−	12.2767i	2.29921	−	0.405412i
$918$	19.6134	+	20.4809i	0.647337	+	0.675971i
$919$	10.2605	−	17.7717i	0.338462	−	0.586233i	−0.645682	−	0.763607i	$-0.723427\pi$
$919$	10.2605	−	17.7717i	0.338462	−	0.586233i	0.984144	+	0.177374i	$0.0567601\pi$
$920$	−11.0160	−	55.2240i	−0.363188	−	1.82068i
$921$	−4.94452	−	4.14894i	−0.162927	−	0.136712i
$922$	0.840344	−	2.88504i	0.0276752	−	0.0950137i
$923$	18.9228	−	10.9251i	0.622851	−	0.359603i
$924$	−0.498770	−	1.57989i	−0.0164083	−	0.0519747i
$925$	−16.3326	−	44.8733i	−0.537011	−	1.47543i
$926$	8.16421	+	12.2138i	0.268293	+	0.401370i
$927$	−4.01634	+	22.7778i	−0.131914	+	0.748121i
$928$	−14.5289	+	2.24973i	−0.476934	+	0.0738510i
$929$	15.6951	−	13.1697i	0.514938	−	0.432085i	−0.347925	−	0.937523i	$-0.613113\pi$
$929$	15.6951	−	13.1697i	0.514938	−	0.432085i	0.862863	+	0.505438i	$0.168669\pi$
$930$	−12.6295	+	5.55984i	−0.414136	+	0.182314i
$931$	−11.4851	−	24.0743i	−0.376410	−	0.789003i
$932$	−3.64757	+	3.98353i	−0.119480	+	0.130485i
$933$	4.45057	+	5.30398i	0.145705	+	0.173645i
$934$	2.53511	+	38.5708i	0.0829513	+	1.26208i
$935$	1.84660	−	10.4726i	0.0603903	−	0.342490i
$936$	3.68183	−	24.0083i	0.120344	−	0.784735i
$937$	48.0662	−	17.4947i	1.57025	−	0.571526i	0.597198	−	0.802094i	$-0.296281\pi$
$937$	48.0662	−	17.4947i	1.57025	−	0.571526i	0.973056	+	0.230569i	$0.0740586\pi$
$938$	−4.57079	−	0.499742i	−0.149242	−	0.0163172i
$939$	−8.05447	+	4.65025i	−0.262848	+	0.151755i
$940$	4.37403	+	33.1310i	0.142665	+	1.08061i
$941$	−5.29132	+	6.30595i	−0.172492	+	0.205568i	−0.845364	−	0.534191i	$-0.820616\pi$
$941$	−5.29132	+	6.30595i	−0.172492	+	0.205568i	0.672872	+	0.739759i	$0.265061\pi$
$942$	−6.33645	−	4.64431i	−0.206453	−	0.151320i
$943$	1.82419	−	3.15959i	0.0594038	−	0.102890i
$944$	47.9451	−	22.3996i	1.56048	−	0.729046i
$945$	−6.77537	−	38.4251i	−0.220403	−	1.24997i
$946$	0.0564176	+	0.230378i	0.00183429	+	0.00749024i
$947$	−5.52282	+	15.1738i	−0.179467	+	0.493083i	−0.996508	−	0.0834975i	$-0.973391\pi$
$947$	−5.52282	+	15.1738i	−0.179467	+	0.493083i	0.817041	+	0.576580i	$0.195613\pi$
$948$	−6.90613	−	0.299013i	−0.224301	−	0.00971148i
$949$		−	10.5395i		−	0.342126i
$950$	−9.20761	+	48.5664i	−0.298734	+	1.57570i
$951$	−3.44438			−0.111692
$952$	−24.9733	−	64.1153i	−0.809391	−	2.07799i
$953$	27.6668	+	10.0699i	0.896214	+	0.326195i	0.748735	−	0.662870i	$-0.230662\pi$
$953$	27.6668	+	10.0699i	0.896214	+	0.326195i	0.147479	+	0.989065i	$0.452884\pi$
$954$	49.8119	−	12.1985i	1.61272	−	0.394941i
$955$	−49.5407	+	8.73535i	−1.60310	+	0.282669i
$956$	−5.73282	+	13.8545i	−0.185413	+	0.448087i
$957$	−0.514760	−	0.297197i	−0.0166398	−	0.00960702i
$958$	−46.1485	−	33.8246i	−1.49099	−	1.09282i
$959$	−0.477600	−	0.400754i	−0.0154225	−	0.0129410i
$960$	3.27216	+	14.6839i	0.105608	+	0.473922i
$961$	2.03863	+	3.53100i	0.0657621	+	0.113903i
$962$	2.88098	−	26.3503i	0.0928865	−	0.849568i
$963$	3.74808	+	10.2978i	0.120780	+	0.331841i
$964$	35.2428	+	22.4341i	1.13509	+	0.722555i
$965$	−37.8921	−	6.68140i	−1.21979	−	0.215082i
$966$	−0.966121	−	14.6992i	−0.0310844	−	0.472939i
$967$	26.9862	−	22.6441i	0.867818	−	0.728186i	−0.0958196	−	0.995399i	$-0.530547\pi$
$967$	26.9862	−	22.6441i	0.867818	−	0.728186i	0.963637	+	0.267213i	$0.0861028\pi$
$968$	−9.80999	+	28.9512i	−0.315305	+	0.930526i
$969$	−4.07868	−	14.7028i	−0.131026	−	0.472323i
$970$	−9.84864	−	22.3717i	−0.316221	−	0.718312i
$971$	−22.9117	−	27.3051i	−0.735272	−	0.876263i	0.260746	−	0.965407i	$-0.416031\pi$
$971$	−22.9117	−	27.3051i	−0.735272	−	0.876263i	−0.996019	+	0.0891439i	$0.971587\pi$
$972$	11.4700	+	22.0142i	0.367901	+	0.706105i
$973$	−34.6706	−	6.11337i	−1.11149	−	0.195986i
$974$	19.4019	+	29.0255i	0.621676	+	0.930037i
$975$	12.3609	−	4.49899i	0.395865	−	0.144083i
$976$	−8.60695	+	18.4928i	−0.275502	+	0.591939i
$977$	23.8606	+	41.3278i	0.763369	+	1.32219i	0.941105	+	0.338115i	$0.109789\pi$
$977$	23.8606	+	41.3278i	0.763369	+	1.32219i	−0.177736	+	0.984078i	$0.556877\pi$
$978$	−10.2679	−	2.99080i	−0.328332	−	0.0956353i
$979$	−0.830579	+	0.989845i	−0.0265454	+	0.0316356i
$980$	−9.54212	+	43.1159i	−0.304812	+	1.37729i
$981$	−9.34701	−	5.39650i	−0.298427	−	0.172297i
$982$	37.3061	+	38.9563i	1.19048	+	1.24314i
$983$	0.872531	+	4.94837i	0.0278294	+	0.157829i	0.995556	−	0.0941755i	$-0.0300215\pi$
$983$	0.872531	+	4.94837i	0.0278294	+	0.157829i	−0.967726	+	0.252004i	$0.918910\pi$
$984$	−0.468348	+	0.854790i	−0.0149304	+	0.0272497i
$985$	−66.3820	−	24.1611i	−2.11511	−	0.769836i
$986$	−22.1422	−	10.9143i	−0.705151	−	0.347583i
$987$			8.74210i			0.278264i
$988$	−16.5035	+	21.9210i	−0.525047	+	0.697400i
$989$			2.10892i			0.0670598i
$990$	2.70105	−	5.47970i	0.0858450	−	0.174156i
$991$	−9.63806	−	3.50797i	−0.306163	−	0.111434i	0.184370	−	0.982857i	$-0.440976\pi$
$991$	−9.63806	−	3.50797i	−0.306163	−	0.111434i	−0.490533	+	0.871423i	$0.663198\pi$
$992$	−27.7855	+	9.46008i	−0.882191	+	0.300358i
$993$	2.84136	+	16.1142i	0.0901679	+	0.511368i
$994$	25.6830	−	24.5950i	0.814614	−	0.780107i
$995$	31.2270	+	18.0289i	0.989961	+	0.571554i
$996$	6.43141	+	1.42336i	0.203787	+	0.0451008i
$997$	10.2645	−	12.2327i	0.325079	−	0.387414i	−0.578610	−	0.815605i	$-0.696404\pi$
$997$	10.2645	−	12.2327i	0.325079	−	0.387414i	0.903688	+	0.428191i	$0.140849\pi$
$998$	−13.8159	+	47.4322i	−0.437334	+	1.50144i
$999$	8.88957	+	15.3972i	0.281253	+	0.487145i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	152.2.t.a.101.8	yes	108
4.3	odd	2		608.2.bf.a.177.10		108
8.3	odd	2		608.2.bf.a.177.9		108
8.5	even	2	inner	152.2.t.a.101.1	✓	108
19.16	even	9	inner	152.2.t.a.149.1	yes	108
76.35	odd	18		608.2.bf.a.529.9		108
152.35	odd	18		608.2.bf.a.529.10		108
152.149	even	18	inner	152.2.t.a.149.8	yes	108

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
152.2.t.a.101.1	✓	108	8.5	even	2	inner
152.2.t.a.101.8	yes	108	1.1	even	1	trivial
152.2.t.a.149.1	yes	108	19.16	even	9	inner
152.2.t.a.149.8	yes	108	152.149	even	18	inner
608.2.bf.a.177.9		108	8.3	odd	2
608.2.bf.a.177.10		108	4.3	odd	2
608.2.bf.a.529.9		108	76.35	odd	18
608.2.bf.a.529.10		108	152.35	odd	18

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:	\( N \)	\(=\)	\( 152 = 2^{3} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	152.t (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.625260 + 1.26848i) q^{2} +(-0.178255 + 0.489751i) q^{3} +(-1.21810 - 1.58626i) q^{4} +(3.55335 - 0.626551i) q^{5} +(-0.509785 - 0.532335i) q^{6} +(-1.81103 + 3.13680i) q^{7} +(2.77378 - 0.553312i) q^{8} +(2.09005 + 1.75376i) q^{9} +O(q^{10})\)	\(q+(-0.625260 + 1.26848i) q^{2} +(-0.178255 + 0.489751i) q^{3} +(-1.21810 - 1.58626i) q^{4} +(3.55335 - 0.626551i) q^{5} +(-0.509785 - 0.532335i) q^{6} +(-1.81103 + 3.13680i) q^{7} +(2.77378 - 0.553312i) q^{8} +(2.09005 + 1.75376i) q^{9} +(-1.42700 + 4.89912i) q^{10} +(-0.380026 + 0.219408i) q^{11} +(0.994007 - 0.313806i) q^{12} +(-1.07650 - 2.95765i) q^{13} +(-2.84661 - 4.25858i) q^{14} +(-0.326547 + 1.85194i) q^{15} +(-1.03247 + 3.86446i) q^{16} +(-5.14502 + 4.31719i) q^{17} +(-3.53144 + 1.55464i) q^{18} +(4.34549 + 0.341661i) q^{19} +(-5.32221 - 4.87335i) q^{20} +(-1.21343 - 1.44610i) q^{21} +(-0.0407004 - 0.619244i) q^{22} +(0.958164 - 5.43402i) q^{23} +(-0.223454 + 1.45709i) q^{24} +(7.53526 - 2.74261i) q^{25} +(4.42482 + 0.483783i) q^{26} +(-2.58554 + 1.49276i) q^{27} +(7.18181 - 0.948159i) q^{28} +(1.67059 - 1.99093i) q^{29} +(-2.14498 - 1.57217i) q^{30} +(2.59436 - 4.49356i) q^{31} +(-4.25644 - 3.72596i) q^{32} +(-0.0397139 - 0.225229i) q^{33} +(-2.25930 - 9.22574i) q^{34} +(-4.46986 + 12.2808i) q^{35} +(0.236038 - 5.45163i) q^{36} -5.95511i q^{37} +(-3.15045 + 5.29855i) q^{38} +1.64040 q^{39} +(9.50953 - 3.70402i) q^{40} +(0.621322 + 0.226143i) q^{41} +(2.59307 - 0.635019i) q^{42} +(-0.376394 + 0.0663684i) q^{43} +(0.810948 + 0.335560i) q^{44} +(8.52551 + 4.92220i) q^{45} +(6.29386 + 4.61309i) q^{46} +(-3.54751 - 2.97672i) q^{47} +(-1.70858 - 1.19451i) q^{48} +(-3.05967 - 5.29950i) q^{49} +(-1.23254 + 11.2732i) q^{50} +(-1.19722 - 3.28934i) q^{51} +(-3.38033 + 5.31032i) q^{52} +(-13.0892 - 2.30798i) q^{53} +(-0.276909 - 4.21308i) q^{54} +(-1.21289 + 1.01774i) q^{55} +(-3.28777 + 9.70285i) q^{56} +(-0.941933 + 2.06730i) q^{57} +(1.48091 + 3.36397i) q^{58} +(-8.50400 - 10.1347i) q^{59} +(3.33544 - 1.73786i) q^{60} +(5.02192 + 0.885501i) q^{61} +(4.07786 + 6.10054i) q^{62} +(-9.28635 + 3.37995i) q^{63} +(7.38769 - 3.06953i) q^{64} +(-5.67829 - 9.83508i) q^{65} +(0.310530 + 0.0904501i) q^{66} +(0.576990 - 0.687630i) q^{67} +(13.1154 + 2.90260i) q^{68} +(2.49052 + 1.43790i) q^{69} +(-12.7832 - 13.3487i) q^{70} +(1.20549 + 6.83668i) q^{71} +(6.76772 + 3.70810i) q^{72} +(3.14662 + 1.14528i) q^{73} +(7.55396 + 3.72349i) q^{74} +4.17929i q^{75} +(-4.75127 - 7.30927i) q^{76} -1.58942i q^{77} +(-1.02568 + 2.08082i) q^{78} +(-6.23172 - 2.26816i) q^{79} +(-1.24743 + 14.3787i) q^{80} +(1.15113 + 6.52839i) q^{81} +(-0.675346 + 0.646738i) q^{82} +(5.47269 + 3.15966i) q^{83} +(-0.815830 + 3.68631i) q^{84} +(-15.5771 + 18.5641i) q^{85} +(0.151157 - 0.518947i) q^{86} +(0.677270 + 1.17307i) q^{87} +(-0.932707 + 0.818862i) q^{88} +(2.76705 - 1.00712i) q^{89} +(-11.5744 + 7.73681i) q^{90} +(11.2271 + 1.97964i) q^{91} +(-9.78692 + 5.09927i) q^{92} +(1.73827 + 2.07159i) q^{93} +(5.99403 - 2.63874i) q^{94} +(15.6551 - 1.50863i) q^{95} +(2.58352 - 1.42042i) q^{96} +(-3.66959 + 3.07915i) q^{97} +(8.63542 - 0.567572i) q^{98} +(-1.17906 - 0.207901i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9}+O(q^{10}) \) 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9	\( 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9} + 9 q^{10} - 3 q^{12} - 9 q^{14} - 12 q^{15} - 12 q^{17} - 12 q^{18} - 42 q^{20} - 12 q^{22} - 12 q^{23} - 36 q^{24} - 12 q^{25} + 21 q^{26} + 24 q^{28} - 48 q^{30} + 30 q^{31} + 39 q^{32} - 30 q^{33} - 60 q^{34} + 69 q^{36} - 42 q^{38} - 24 q^{39} + 36 q^{40} - 24 q^{41} - 81 q^{42} + 45 q^{44} - 18 q^{46} - 48 q^{47} - 21 q^{48} - 24 q^{49} - 12 q^{50} + 3 q^{52} + 63 q^{54} - 42 q^{55} + 30 q^{56} - 12 q^{57} - 84 q^{58} + 30 q^{60} - 6 q^{62} + 30 q^{63} + 3 q^{64} - 6 q^{65} + 54 q^{66} + 36 q^{68} + 123 q^{70} - 12 q^{71} + 150 q^{72} + 12 q^{73} + 75 q^{74} + 42 q^{76} + 39 q^{78} - 12 q^{79} + 51 q^{80} - 18 q^{81} + 99 q^{82} + 75 q^{84} - 48 q^{86} - 6 q^{87} - 27 q^{88} - 12 q^{89} + 66 q^{90} - 48 q^{92} + 54 q^{94} - 72 q^{95} + 42 q^{96} - 12 q^{97} + 93 q^{98}+O(q^{100}) \) 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9 + 9 * q^10 - 3 * q^12 - 9 * q^14 - 12 * q^15 - 12 * q^17 - 12 * q^18 - 42 * q^20 - 12 * q^22 - 12 * q^23 - 36 * q^24 - 12 * q^25 + 21 * q^26 + 24 * q^28 - 48 * q^30 + 30 * q^31 + 39 * q^32 - 30 * q^33 - 60 * q^34 + 69 * q^36 - 42 * q^38 - 24 * q^39 + 36 * q^40 - 24 * q^41 - 81 * q^42 + 45 * q^44 - 18 * q^46 - 48 * q^47 - 21 * q^48 - 24 * q^49 - 12 * q^50 + 3 * q^52 + 63 * q^54 - 42 * q^55 + 30 * q^56 - 12 * q^57 - 84 * q^58 + 30 * q^60 - 6 * q^62 + 30 * q^63 + 3 * q^64 - 6 * q^65 + 54 * q^66 + 36 * q^68 + 123 * q^70 - 12 * q^71 + 150 * q^72 + 12 * q^73 + 75 * q^74 + 42 * q^76 + 39 * q^78 - 12 * q^79 + 51 * q^80 - 18 * q^81 + 99 * q^82 + 75 * q^84 - 48 * q^86 - 6 * q^87 - 27 * q^88 - 12 * q^89 + 66 * q^90 - 48 * q^92 + 54 * q^94 - 72 * q^95 + 42 * q^96 - 12 * q^97 + 93 * q^98

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