LMFDB - Embedded newform 230.2.l.a.97.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [230,2,Mod(7,230)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(230, base_ring=CyclotomicField(44))

chi = DirichletCharacter(H, H._module([11, 38]))

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

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

chi := DirichletCharacter("230.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 230 = 2 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	230.l (of order $44$, degree $20$, 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:	$1.83655924649$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$12$ over $\Q(\zeta_{44})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label			97.4
Character	$\chi$	$=$	230.97
Dual form			230.2.l.a.83.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.479249 - 0.877679i) q^{2} +(0.0160392 + 0.224257i) q^{3} +(-0.540641 + 0.841254i) q^{4} +(-1.80481 - 1.32009i) q^{5} +(0.189139 - 0.121552i) q^{6} +(3.97650 + 1.48316i) q^{7} +(0.997452 + 0.0713392i) q^{8} +(2.91943 - 0.419751i) q^{9} +O(q^{10})$	\(q+(-0.479249 - 0.877679i) q^{2} +(0.0160392 + 0.224257i) q^{3} +(-0.540641 + 0.841254i) q^{4} +(-1.80481 - 1.32009i) q^{5} +(0.189139 - 0.121552i) q^{6} +(3.97650 + 1.48316i) q^{7} +(0.997452 + 0.0713392i) q^{8} +(2.91943 - 0.419751i) q^{9} +(-0.293662 + 2.21670i) q^{10} +(-0.850780 - 2.89749i) q^{11} +(-0.197328 - 0.107749i) q^{12} +(-2.04842 - 5.49203i) q^{13} +(-0.603997 - 4.20089i) q^{14} +(0.267092 - 0.425915i) q^{15} +(-0.415415 - 0.909632i) q^{16} +(0.313276 - 1.44011i) q^{17} +(-1.76754 - 2.36116i) q^{18} +(4.78140 + 3.07282i) q^{19} +(2.08629 - 0.804611i) q^{20} +(-0.268828 + 0.915545i) q^{21} +(-2.13533 + 2.13533i) q^{22} +(-2.36877 - 4.17000i) q^{23} +0.224830i q^{24} +(1.51471 + 4.76504i) q^{25} +(-3.83854 + 4.42991i) q^{26} +(0.284330 + 1.30704i) q^{27} +(-3.39757 + 2.54339i) q^{28} +(3.42485 + 5.32917i) q^{29} +(-0.501820 - 0.0303016i) q^{30} +(1.79209 + 2.06819i) q^{31} +(-0.599278 + 0.800541i) q^{32} +(0.636136 - 0.237266i) q^{33} +(-1.41409 + 0.415214i) q^{34} +(-5.21894 - 7.92617i) q^{35} +(-1.22525 + 2.68292i) q^{36} +(-5.02392 - 3.76086i) q^{37} +(0.405468 - 5.66918i) q^{38} +(1.19877 - 0.547460i) q^{39} +(-1.70604 - 1.44548i) q^{40} +(-0.610534 + 4.24636i) q^{41} +(0.932390 - 0.202829i) q^{42} +(2.13268 - 0.152532i) q^{43} +(2.89749 + 0.850780i) q^{44} +(-5.82314 - 3.09635i) q^{45} +(-2.52469 + 4.07749i) q^{46} +(1.03690 + 1.03690i) q^{47} +(0.197328 - 0.107749i) q^{48} +(8.32253 + 7.21151i) q^{49} +(3.45626 - 3.61307i) q^{50} +(0.327979 + 0.0471562i) q^{51} +(5.72765 + 1.24598i) q^{52} +(-2.92896 + 7.85285i) q^{53} +(1.01090 - 0.875950i) q^{54} +(-2.28946 + 6.35254i) q^{55} +(3.86056 + 1.76306i) q^{56} +(-0.612411 + 1.12155i) q^{57} +(3.03595 - 5.55992i) q^{58} +(-9.55015 - 4.36141i) q^{59} +(0.213902 + 0.454959i) q^{60} +(-8.07789 + 6.99953i) q^{61} +(0.956345 - 2.56406i) q^{62} +(12.2317 + 2.66084i) q^{63} +(0.989821 + 0.142315i) q^{64} +(-3.55297 + 12.6162i) q^{65} +(-0.513111 - 0.444614i) q^{66} +(-3.85770 + 2.10646i) q^{67} +(1.04213 + 1.04213i) q^{68} +(0.897158 - 0.598097i) q^{69} +(-4.45546 + 8.37916i) q^{70} +(7.76304 + 2.27943i) q^{71} +(2.94194 - 0.210411i) q^{72} +(-5.59835 + 1.21785i) q^{73} +(-0.893119 + 6.21178i) q^{74} +(-1.04430 + 0.416112i) q^{75} +(-5.17004 + 2.36108i) q^{76} +(0.914309 - 12.7837i) q^{77} +(-1.05500 - 0.789766i) q^{78} +(4.78369 - 10.4748i) q^{79} +(-0.451051 + 2.19010i) q^{80} +(8.20138 - 2.40814i) q^{81} +(4.01954 - 1.49921i) q^{82} +(-0.282133 + 0.376886i) q^{83} +(-0.624866 - 0.721134i) q^{84} +(-2.46648 + 2.18557i) q^{85} +(-1.15596 - 1.79871i) q^{86} +(-1.14017 + 0.853521i) q^{87} +(-0.641908 - 2.95080i) q^{88} +(-6.58045 + 7.59424i) q^{89} +(0.0731368 + 6.59477i) q^{90} -24.8772i q^{91} +(4.78868 + 0.261733i) q^{92} +(-0.435061 + 0.435061i) q^{93} +(0.413134 - 1.40701i) q^{94} +(-4.57314 - 11.8578i) q^{95} +(-0.189139 - 0.121552i) q^{96} +(7.75416 + 10.3583i) q^{97} +(2.34083 - 10.7606i) q^{98} +(-3.70002 - 8.10191i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 8 q^{6}+O(q^{10}) $ 240 * q - 8 * q^3 - 8 * q^6	$ 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46} - 80 q^{47} + 8 q^{48} + 8 q^{50} + 16 q^{52} - 44 q^{56} - 88 q^{57} - 176 q^{61} - 32 q^{62} - 176 q^{66} + 24 q^{70} - 336 q^{71} + 16 q^{72} - 88 q^{73} - 36 q^{75} - 24 q^{77} + 40 q^{78} - 136 q^{81} + 40 q^{82} - 100 q^{85} - 44 q^{86} + 40 q^{87} + 8 q^{92} + 56 q^{93} + 52 q^{95} + 8 q^{96} + 132 q^{97} + 24 q^{98}+O(q^{100}) $ 240 * q - 8 * q^3 - 8 * q^6 - 8 * q^12 + 16 * q^13 + 24 * q^16 - 72 * q^18 - 80 * q^23 - 8 * q^26 + 16 * q^27 - 44 * q^28 + 24 * q^31 - 44 * q^33 - 8 * q^35 - 32 * q^36 - 88 * q^37 - 24 * q^41 - 8 * q^46 - 80 * q^47 + 8 * q^48 + 8 * q^50 + 16 * q^52 - 44 * q^56 - 88 * q^57 - 176 * q^61 - 32 * q^62 - 176 * q^66 + 24 * q^70 - 336 * q^71 + 16 * q^72 - 88 * q^73 - 36 * q^75 - 24 * q^77 + 40 * q^78 - 136 * q^81 + 40 * q^82 - 100 * q^85 - 44 * q^86 + 40 * q^87 + 8 * q^92 + 56 * q^93 + 52 * q^95 + 8 * q^96 + 132 * q^97 + 24 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{1}{22}\right)$

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 $

$2$	−0.479249	−	0.877679i	−0.338880	−	0.620613i
$2$	−0.479249	−	0.877679i	−0.338880	−	0.620613i
$3$	0.0160392	+	0.224257i	0.00926021	+	0.129475i	0.999979	−	0.00645144i	$-0.00205357\pi$
$3$	0.0160392	+	0.224257i	0.00926021	+	0.129475i	−0.990719	+	0.135926i	$0.956599\pi$
$4$	−0.540641	+	0.841254i	−0.270320	+	0.420627i
$5$	−1.80481	−	1.32009i	−0.807138	−	0.590363i
$5$	−1.80481	−	1.32009i	−0.807138	−	0.590363i
$6$	0.189139	−	0.121552i	0.0772155	−	0.0496234i
$7$	3.97650	+	1.48316i	1.50297	+	0.560581i	0.960204	−	0.279300i	$-0.0901024\pi$
$7$	3.97650	+	1.48316i	1.50297	+	0.560581i	0.542771	+	0.839881i	$0.317375\pi$
$8$	0.997452	+	0.0713392i	0.352653	+	0.0252222i
$9$	2.91943	−	0.419751i	0.973144	−	0.139917i
$10$	−0.293662	+	2.21670i	−0.0928640	+	0.700982i
$11$	−0.850780	−	2.89749i	−0.256520	−	0.873626i	−0.982556	−	0.185969i	$-0.940457\pi$
$11$	−0.850780	−	2.89749i	−0.256520	−	0.873626i	0.726036	−	0.687657i	$-0.241361\pi$
$12$	−0.197328	−	0.107749i	−0.0569637	−	0.0311046i
$13$	−2.04842	−	5.49203i	−0.568130	−	1.52322i	−0.829801	−	0.558059i	$-0.811546\pi$
$13$	−2.04842	−	5.49203i	−0.568130	−	1.52322i	0.261671	−	0.965157i	$-0.415727\pi$
$14$	−0.603997	−	4.20089i	−0.161425	−	1.12274i
$15$	0.267092	−	0.425915i	0.0689628	−	0.109971i
$16$	−0.415415	−	0.909632i	−0.103854	−	0.227408i
$17$	0.313276	−	1.44011i	0.0759807	−	0.349277i	−0.923424	−	0.383782i	$-0.874622\pi$
$17$	0.313276	−	1.44011i	0.0759807	−	0.349277i	0.999405	+	0.0345041i	$0.0109852\pi$
$18$	−1.76754	−	2.36116i	−0.416613	−	0.556530i
$19$	4.78140	+	3.07282i	1.09693	+	0.704953i	0.958407	−	0.285406i	$-0.0921286\pi$
$19$	4.78140	+	3.07282i	1.09693	+	0.704953i	0.138522	+	0.990359i	$0.455765\pi$
$20$	2.08629	−	0.804611i	0.466508	−	0.179916i
$21$	−0.268828	+	0.915545i	−0.0586631	+	0.199788i
$22$	−2.13533	+	2.13533i	−0.455254	+	0.455254i
$23$	−2.36877	−	4.17000i	−0.493924	−	0.869505i
$23$	−2.36877	−	4.17000i	−0.493924	−	0.869505i
$24$			0.224830i			0.0458931i
$25$	1.51471	+	4.76504i	0.302942	+	0.953009i
$26$	−3.83854	+	4.42991i	−0.752799	+	0.868777i
$27$	0.284330	+	1.30704i	0.0547193	+	0.251541i
$28$	−3.39757	+	2.54339i	−0.642080	+	0.480655i
$29$	3.42485	+	5.32917i	0.635979	+	0.989602i	0.998342	+	0.0575653i	$0.0183337\pi$
$29$	3.42485	+	5.32917i	0.635979	+	0.989602i	−0.362363	+	0.932037i	$0.618030\pi$
$30$	−0.501820	−	0.0303016i	−0.0916194	−	0.00553229i
$31$	1.79209	+	2.06819i	0.321870	+	0.371457i	0.893507	−	0.449049i	$-0.148237\pi$
$31$	1.79209	+	2.06819i	0.321870	+	0.371457i	−0.571638	+	0.820506i	$0.693692\pi$
$32$	−0.599278	+	0.800541i	−0.105938	+	0.141517i
$33$	0.636136	−	0.237266i	0.110737	−	0.0413028i
$34$	−1.41409	+	0.415214i	−0.242514	+	0.0712086i
$35$	−5.21894	−	7.92617i	−0.882161	−	1.33977i
$36$	−1.22525	+	2.68292i	−0.204208	+	0.447153i
$37$	−5.02392	−	3.76086i	−0.825927	−	0.618282i	0.100423	−	0.994945i	$-0.467980\pi$
$37$	−5.02392	−	3.76086i	−0.825927	−	0.618282i	−0.926350	+	0.376663i	$0.877071\pi$
$38$	0.405468	−	5.66918i	0.0657755	−	0.919662i
$39$	1.19877	−	0.547460i	0.191957	−	0.0876638i
$40$	−1.70604	−	1.44548i	−0.269749	−	0.228551i
$41$	−0.610534	+	4.24636i	−0.0953494	+	0.663170i	0.884955	+	0.465677i	$0.154189\pi$
$41$	−0.610534	+	4.24636i	−0.0953494	+	0.663170i	−0.980304	+	0.197493i	$0.936720\pi$
$42$	0.932390	−	0.202829i	0.143871	−	0.0312972i
$43$	2.13268	−	0.152532i	0.325231	−	0.0232610i	0.0922307	−	0.995738i	$-0.470600\pi$
$43$	2.13268	−	0.152532i	0.325231	−	0.0232610i	0.233000	+	0.972477i	$0.425146\pi$
$44$	2.89749	+	0.850780i	0.436813	+	0.128260i
$45$	−5.82314	−	3.09635i	−0.868063	−	0.461576i
$46$	−2.52469	+	4.07749i	−0.372245	+	0.601193i
$47$	1.03690	+	1.03690i	0.151248	+	0.151248i	0.778675	−	0.627427i	$-0.215892\pi$
$47$	1.03690	+	1.03690i	0.151248	+	0.151248i	−0.627427	+	0.778675i	$0.715892\pi$
$48$	0.197328	−	0.107749i	0.0284819	−	0.0155523i
$49$	8.32253	+	7.21151i	1.18893	+	1.03022i
$50$	3.45626	−	3.61307i	0.488788	−	0.510966i
$51$	0.327979	+	0.0471562i	0.0459262	+	0.00660319i
$52$	5.72765	+	1.24598i	0.794283	+	0.172786i
$53$	−2.92896	+	7.85285i	−0.402324	+	1.07867i	0.564992	+	0.825097i	$0.308879\pi$
$53$	−2.92896	+	7.85285i	−0.402324	+	1.07867i	−0.967316	+	0.253575i	$0.918393\pi$
$54$	1.01090	−	0.875950i	0.137566	−	0.119202i
$55$	−2.28946	+	6.35254i	−0.308710	+	0.856577i
$56$	3.86056	+	1.76306i	0.515889	+	0.235599i
$57$	−0.612411	+	1.12155i	−0.0811158	+	0.148552i
$58$	3.03595	−	5.55992i	0.398639	−	0.730053i
$59$	−9.55015	−	4.36141i	−1.24332	−	0.567807i	−0.318399	−	0.947957i	$-0.603145\pi$
$59$	−9.55015	−	4.36141i	−1.24332	−	0.567807i	−0.924925	+	0.380150i	$0.875872\pi$
$60$	0.213902	+	0.454959i	0.0276146	+	0.0587350i
$61$	−8.07789	+	6.99953i	−1.03427	+	0.896198i	−0.994680	−	0.103018i	$-0.967150\pi$
$61$	−8.07789	+	6.99953i	−1.03427	+	0.896198i	−0.0395887	+	0.999216i	$0.512605\pi$
$62$	0.956345	−	2.56406i	0.121456	−	0.325636i
$63$	12.2317	+	2.66084i	1.54104	+	0.335234i
$64$	0.989821	+	0.142315i	0.123728	+	0.0177894i
$65$	−3.55297	+	12.6162i	−0.440692	+	1.56485i
$66$	−0.513111	−	0.444614i	−0.0631596	−	0.0547281i
$67$	−3.85770	+	2.10646i	−0.471293	+	0.257346i	−0.697299	−	0.716780i	$-0.745615\pi$
$67$	−3.85770	+	2.10646i	−0.471293	+	0.257346i	0.226006	+	0.974126i	$0.427433\pi$
$68$	1.04213	+	1.04213i	0.126376	+	0.126376i
$69$	0.897158	−	0.598097i	0.108005	−	0.0720024i
$70$	−4.45546	+	8.37916i	−0.532529	+	1.00150i
$71$	7.76304	+	2.27943i	0.921303	+	0.270519i	0.707791	−	0.706421i	$-0.249692\pi$
$71$	7.76304	+	2.27943i	0.921303	+	0.270519i	0.213512	+	0.976940i	$0.431510\pi$
$72$	2.94194	−	0.210411i	0.346711	−	0.0247972i
$73$	−5.59835	+	1.21785i	−0.655238	+	0.142538i	−0.527880	−	0.849319i	$-0.677013\pi$
$73$	−5.59835	+	1.21785i	−0.655238	+	0.142538i	−0.127357	+	0.991857i	$0.540649\pi$
$74$	−0.893119	+	6.21178i	−0.103823	+	0.722105i
$75$	−1.04430	+	0.416112i	−0.120585	+	0.0480484i
$76$	−5.17004	+	2.36108i	−0.593044	+	0.270834i
$77$	0.914309	−	12.7837i	0.104195	−	1.45684i
$78$	−1.05500	−	0.789766i	−0.119456	−	0.0894234i
$79$	4.78369	−	10.4748i	0.538207	−	1.17851i	−0.423868	−	0.905724i	$-0.639328\pi$
$79$	4.78369	−	10.4748i	0.538207	−	1.17851i	0.962075	−	0.272785i	$-0.0879449\pi$
$80$	−0.451051	+	2.19010i	−0.0504291	+	0.244861i
$81$	8.20138	−	2.40814i	0.911265	−	0.267571i
$82$	4.01954	−	1.49921i	0.443884	−	0.165560i
$83$	−0.282133	+	0.376886i	−0.0309681	+	0.0413686i	−0.815758	−	0.578393i	$-0.803680\pi$
$83$	−0.282133	+	0.376886i	−0.0309681	+	0.0413686i	0.784790	+	0.619762i	$0.212771\pi$
$84$	−0.624866	−	0.721134i	−0.0681784	−	0.0786821i
$85$	−2.46648	+	2.18557i	−0.267527	+	0.237059i
$86$	−1.15596	−	1.79871i	−0.124650	−	0.193960i
$87$	−1.14017	+	0.853521i	−0.122239	+	0.0915071i
$88$	−0.641908	−	2.95080i	−0.0684276	−	0.314557i
$89$	−6.58045	+	7.59424i	−0.697526	+	0.804988i	−0.988416	−	0.151768i	$-0.951503\pi$
$89$	−6.58045	+	7.59424i	−0.697526	+	0.804988i	0.290890	+	0.956757i	$0.406049\pi$
$90$	0.0731368	+	6.59477i	0.00770929	+	0.695150i
$91$		−	24.8772i		−	2.60784i
$92$	4.78868	+	0.261733i	0.499255	+	0.0272876i
$93$	−0.435061	+	0.435061i	−0.0451137	+	0.0451137i
$94$	0.413134	−	1.40701i	0.0426115	−	0.145121i
$95$	−4.57314	−	11.8578i	−0.469194	−	1.21658i
$96$	−0.189139	−	0.121552i	−0.0193039	−	0.0124059i
$97$	7.75416	+	10.3583i	0.787316	+	1.05173i	0.997257	+	0.0740165i	$0.0235817\pi$
$97$	7.75416	+	10.3583i	0.787316	+	1.05173i	−0.209941	+	0.977714i	$0.567327\pi$
$98$	2.34083	−	10.7606i	0.236460	−	1.08699i
$99$	−3.70002	−	8.10191i	−0.371866	−	0.814272i
$100$	−4.82753	−	1.30192i	−0.482753	−	0.130192i
$101$	0.246966	+	1.71769i	0.0245741	+	0.170916i	0.998412	−	0.0563252i	$-0.0179384\pi$
$101$	0.246966	+	1.71769i	0.0245741	+	0.170916i	−0.973838	+	0.227242i	$0.927029\pi$
$102$	−0.115795	−	0.310459i	−0.0114655	−	0.0307401i
$103$	−16.0513	−	8.76469i	−1.58159	−	0.863611i	−0.998696	−	0.0510594i	$-0.983740\pi$
$103$	−16.0513	−	8.76469i	−1.58159	−	0.863611i	−0.582890	−	0.812551i	$-0.698078\pi$
$104$	−1.65141	−	5.62417i	−0.161934	−	0.551496i
$105$	1.69379	−	1.29751i	0.165297	−	0.126624i
$106$	8.29598	−	1.19278i	0.805777	−	0.115853i
$107$	10.2847	+	0.735579i	0.994264	+	0.0711111i	0.558979	−	0.829182i	$-0.311193\pi$
$107$	10.2847	+	0.735579i	0.994264	+	0.0711111i	0.435285	+	0.900293i	$0.356648\pi$
$108$	−1.25328	−	0.467448i	−0.120597	−	0.0449802i
$109$	−7.61007	+	4.89069i	−0.728912	+	0.468443i	−0.851727	−	0.523986i	$-0.824444\pi$
$109$	−7.61007	+	4.89069i	−0.728912	+	0.468443i	0.122815	+	0.992430i	$0.460808\pi$
$110$	6.67271	−	1.03504i	0.636218	−	0.0986875i
$111$	0.762819	−	1.18697i	0.0724035	−	0.112662i
$112$	−0.302770	−	4.23328i	−0.0286091	−	0.400007i
$113$	−4.27466	−	7.82845i	−0.402126	−	0.736439i	0.595639	−	0.803252i	$-0.296899\pi$
$113$	−4.27466	−	7.82845i	−0.402126	−	0.736439i	−0.997766	+	0.0668130i	$0.978717\pi$
$114$	1.27785			0.119682
$115$	−1.22959	+	10.6531i	−0.114660	+	0.993405i
$116$	−6.33480			−0.588171
$117$	−8.28551	−	15.1738i	−0.765996	−	1.40282i
$118$	0.748984	+	10.4722i	0.0689496	+	0.964041i
$119$	3.38165	−	5.26195i	0.309995	−	0.482362i
$120$	0.296796	−	0.405776i	0.0270936	−	0.0370421i
$121$	1.58216	−	1.01679i	0.143833	−	0.0924357i
$122$	10.0147	+	3.73528i	0.906685	+	0.338176i
$123$	−0.962067	−	0.0688084i	−0.0867466	−	0.00620424i
$124$	−2.70875	+	0.389459i	−0.243253	+	0.0349745i
$125$	3.55652	−	10.5996i	0.318105	−	0.948055i
$126$	−3.52665	−	12.0107i	−0.314179	−	1.07000i
$127$	5.81234	+	3.17378i	0.515761	+	0.281627i	0.715976	−	0.698125i	$-0.245982\pi$
$127$	5.81234	+	3.17378i	0.515761	+	0.281627i	−0.200214	+	0.979752i	$0.564164\pi$
$128$	−0.349464	−	0.936950i	−0.0308886	−	0.0828154i
$129$	0.0684128	+	0.475822i	0.00602341	+	0.0418938i
$130$	12.7757	−	2.92794i	1.12051	−	0.256797i
$131$	−0.106677	−	0.233590i	−0.00932041	−	0.0204088i	0.904915	−	0.425593i	$-0.139935\pi$
$131$	−0.106677	−	0.233590i	−0.00932041	−	0.0204088i	−0.914235	+	0.405184i	$0.867207\pi$
$132$	−0.144320	+	0.663428i	−0.0125614	+	0.0577440i
$133$	14.4558	+	19.3106i	1.25347	+	1.67444i
$134$	3.69760	+	2.37630i	0.319424	+	0.205281i
$135$	1.21226	−	2.73431i	0.104334	−	0.235332i
$136$	0.415214	−	1.41409i	0.0356043	−	0.121257i
$137$	−9.64576	+	9.64576i	−0.824093	+	0.824093i	−0.986692	−	0.162599i	$-0.948012\pi$
$137$	−9.64576	+	9.64576i	−0.824093	+	0.824093i	0.162599	+	0.986692i	$0.448012\pi$
$138$	−0.954899	−	0.500779i	−0.0812864	−	0.0426291i
$139$			13.8204i			1.17223i	0.810227	+	0.586116i	$0.199344\pi$
$139$			13.8204i			1.17223i	−0.810227	+	0.586116i	$0.800656\pi$
$140$	9.48949	−	0.105240i	0.802008	−	0.00889436i
$141$	−0.215902	+	0.249164i	−0.0181822	+	0.0209834i
$142$	−1.71982	−	7.90587i	−0.144324	−	0.663446i
$143$	−14.1704	+	10.6078i	−1.18499	+	0.887069i
$144$	−1.59459	−	2.48124i	−0.132883	−	0.206770i
$145$	0.853778	−	14.1393i	0.0709024	−	1.17420i
$146$	3.75188	+	4.32990i	0.310508	+	0.358345i
$147$	−1.48374	+	1.98205i	−0.122377	+	0.163477i
$148$	5.87997	−	2.19312i	0.483331	−	0.180273i
$149$	14.1555	−	4.15644i	1.15967	−	0.340509i	0.355364	−	0.934728i	$-0.384357\pi$
$149$	14.1555	−	4.15644i	1.15967	−	0.340509i	0.804303	+	0.594219i	$0.202539\pi$
$150$	0.865691	+	0.717138i	0.0706834	+	0.0585540i
$151$	−5.07415	+	11.1108i	−0.412929	+	0.904188i	0.582865	+	0.812569i	$0.301932\pi$
$151$	−5.07415	+	11.1108i	−0.412929	+	0.904188i	−0.995794	+	0.0916192i	$0.970796\pi$
$152$	4.55000	+	3.40609i	0.369054	+	0.276270i
$153$	0.310102	−	4.33579i	0.0250703	−	0.350528i
$154$	−11.6582	+	5.32411i	−0.939442	+	0.429029i
$155$	−0.504200	−	6.09843i	−0.0404983	−	0.489837i
$156$	−0.187552	+	1.30445i	−0.0150161	+	0.104440i
$157$	−10.0517	+	2.18662i	−0.802216	+	0.174511i	−0.594939	−	0.803771i	$-0.702824\pi$
$157$	−10.0517	+	2.18662i	−0.802216	+	0.174511i	−0.207277	+	0.978282i	$0.566460\pi$
$158$	−11.4861	+	0.821503i	−0.913786	+	0.0653553i
$159$	−1.80803	−	0.530886i	−0.143386	−	0.0421020i
$160$	2.13837	−	0.653727i	0.169053	−	0.0516816i
$161$	−3.23466	−	20.0953i	−0.254927	−	1.58373i
$162$	−6.04408	−	6.04408i	−0.474868	−	0.474868i
$163$	18.5453	−	10.1265i	1.45258	−	0.793170i	0.457218	−	0.889355i	$-0.348846\pi$
$163$	18.5453	−	10.1265i	1.45258	−	0.793170i	0.995363	+	0.0961850i	$0.0306640\pi$
$164$	−3.24218	−	2.80937i	−0.253172	−	0.219375i
$165$	−1.46132	−	0.411536i	−0.113764	−	0.0320381i
$166$	0.465997	+	0.0670002i	0.0361684	+	0.00520023i
$167$	−1.44270	−	0.313840i	−0.111639	−	0.0242857i	0.156398	−	0.987694i	$-0.450012\pi$
$167$	−1.44270	−	0.313840i	−0.111639	−	0.0242857i	−0.268038	+	0.963408i	$0.586375\pi$
$168$	−0.333457	+	0.894034i	−0.0257268	+	0.0689762i
$169$	−16.1417	+	13.9868i	−1.24167	+	1.07591i
$170$	3.10029	+	1.11734i	0.237781	+	0.0856964i
$171$	15.2488	+	6.96389i	1.16610	+	0.532542i
$172$	−1.02470	+	1.87659i	−0.0781324	+	0.143089i
$173$	7.45550	−	13.6537i	0.566831	−	1.03807i	−0.424343	−	0.905502i	$-0.639495\pi$
$173$	7.45550	−	13.6537i	0.566831	−	1.03807i	0.991173	−	0.132571i	$-0.0423234\pi$
$174$	1.29554	+	0.591655i	0.0982149	+	0.0448532i
$175$	−1.04406	+	21.1947i	−0.0789235	+	1.60217i
$176$	−2.28222	+	1.97756i	−0.172029	+	0.149064i
$177$	0.824898	−	2.21164i	0.0620032	−	0.166237i
$178$	9.81898	+	2.13599i	0.735964	+	0.160099i
$179$	15.2734	+	2.19599i	1.14159	+	0.164136i	0.687063	−	0.726598i	$-0.258900\pi$
$179$	15.2734	+	2.19599i	1.14159	+	0.164136i	0.454526	+	0.890733i	$0.349809\pi$
$180$	5.75304	−	3.22473i	0.428806	−	0.240357i
$181$	−8.40074	−	7.27928i	−0.624422	−	0.541065i	0.284157	−	0.958778i	$-0.408286\pi$
$181$	−8.40074	−	7.27928i	−0.624422	−	0.541065i	−0.908579	+	0.417713i	$0.862832\pi$
$182$	−21.8342	+	11.9224i	−1.61846	+	0.883745i
$183$	−1.69925	−	1.69925i	−0.125613	−	0.125613i
$184$	−2.06525	−	4.32836i	−0.152253	−	0.319091i
$185$	4.10256	+	13.4197i	0.301626	+	0.986636i
$186$	0.590347	+	0.173341i	0.0432863	+	0.0127100i
$187$	−4.43923	+	0.317500i	−0.324629	+	0.0232179i
$188$	−1.43289	+	0.311707i	−0.104504	+	0.0227336i
$189$	−0.807914	+	5.61916i	−0.0587671	+	0.408734i
$190$	−8.21563	+	9.69656i	−0.596025	+	0.703463i
$191$	0.433670	−	0.198050i	0.0313793	−	0.0143304i	−0.399664	−	0.916662i	$-0.630873\pi$
$191$	0.433670	−	0.198050i	0.0313793	−	0.0143304i	0.431043	+	0.902331i	$0.358146\pi$
$192$	−0.0160392	+	0.224257i	−0.00115753	+	0.0161843i
$193$	14.4214	+	10.7957i	1.03807	+	0.777091i	0.975288	−	0.220936i	$-0.0709113\pi$
$193$	14.4214	+	10.7957i	1.03807	+	0.777091i	0.0627835	+	0.998027i	$0.480002\pi$
$194$	5.37513	−	11.7699i	0.385912	−	0.845029i
$195$	−2.88626	−	0.594424i	−0.206689	−	0.0425676i
$196$	−10.5662	+	3.10252i	−0.754729	+	0.221609i
$197$	3.91720	−	1.46104i	0.279089	−	0.104095i	−0.206022	−	0.978547i	$-0.566052\pi$
$197$	3.91720	−	1.46104i	0.279089	−	0.104095i	0.485111	+	0.874453i	$0.338779\pi$
$198$	−5.33765	+	7.13026i	−0.379330	+	0.506725i
$199$	−8.68408	−	10.0220i	−0.615598	−	0.710438i	0.359267	−	0.933235i	$-0.383027\pi$
$199$	−8.68408	−	10.0220i	−0.615598	−	0.710438i	−0.974865	+	0.222797i	$0.928481\pi$
$200$	1.17092	+	4.86096i	0.0827964	+	0.343722i
$201$	−0.534263	−	0.831330i	−0.0376840	−	0.0586375i
$202$	1.38922	−	1.03996i	0.0977453	−	0.0731712i
$203$	5.71491	+	26.2710i	0.401108	+	1.84386i
$204$	−0.216989	+	0.250419i	−0.0151923	+	0.0175328i
$205$	6.70749	−	6.85793i	0.468471	−	0.478978i
$206$			18.2884i			1.27421i
$207$	−8.66583	−	11.1797i	−0.602317	−	0.777045i
$208$	−4.14478	+	4.14478i	−0.287389	+	0.287389i
$209$	4.83555	−	16.4684i	0.334482	−	1.13914i
$210$	−1.95054	−	0.864772i	−0.134600	−	0.0596750i
$211$	11.9933	+	7.70761i	0.825651	+	0.530614i	0.883893	−	0.467689i	$-0.154913\pi$
$211$	11.9933	+	7.70761i	0.825651	+	0.530614i	−0.0582421	+	0.998302i	$0.518550\pi$
$212$	−5.02272	−	6.70957i	−0.344962	−	0.460815i
$213$	−0.386666	+	1.77747i	−0.0264939	+	0.121791i
$214$	−4.28335	−	9.37923i	−0.292804	−	0.641151i
$215$	−4.05045	−	2.54004i	−0.276239	−	0.173230i
$216$	0.190362	+	1.32400i	0.0129525	+	0.0900866i
$217$	4.05881	+	10.8821i	0.275530	+	0.738725i
$218$	7.93957	+	4.33534i	0.537736	+	0.293626i
$219$	−0.362903	−	1.23593i	−0.0245227	−	0.0835167i
$220$	−4.10633	−	5.36046i	−0.276848	−	0.361402i
$221$	−8.55084	+	1.22943i	−0.575192	+	0.0827001i
$222$	−1.40736	−	0.100656i	−0.0944557	−	0.00675560i
$223$	−4.54583	−	1.69551i	−0.304411	−	0.113540i	0.192617	−	0.981274i	$-0.438303\pi$
$223$	−4.54583	−	1.69551i	−0.304411	−	0.113540i	−0.497028	+	0.867734i	$0.665575\pi$
$224$	−3.57035	+	2.29453i	−0.238554	+	0.153310i
$225$	6.42223	+	13.2754i	0.428149	+	0.885028i
$226$	−4.82224	+	7.50356i	−0.320771	+	0.499129i
$227$	1.66030	+	23.2140i	0.110198	+	1.54077i	0.688676	+	0.725069i	$0.258192\pi$
$227$	1.66030	+	23.2140i	0.110198	+	1.54077i	−0.578478	+	0.815698i	$0.696353\pi$
$228$	−0.612411	−	1.12155i	−0.0405579	−	0.0742762i
$229$	−0.636089			−0.0420340			−0.0210170	−	0.999779i	$-0.506690\pi$
$229$	−0.636089			−0.0420340			−0.0210170	+	0.999779i	$0.506690\pi$
$230$	9.93926	−	4.02629i	0.655376	−	0.265486i
$231$	2.88150			0.189589
$232$	3.03595	+	5.55992i	0.199320	+	0.365027i
$233$	1.28326	+	17.9423i	0.0840691	+	1.17544i	0.847948	+	0.530079i	$0.177838\pi$
$233$	1.28326	+	17.9423i	0.0840691	+	1.17544i	−0.763879	+	0.645360i	$0.776708\pi$
$234$	−9.34689	+	14.5440i	−0.611025	+	0.950774i
$235$	−0.502611	−	3.24023i	−0.0327867	−	0.211369i
$236$	8.83225	−	5.67614i	0.574930	−	0.369485i
$237$	2.42578	+	0.904767i	0.157571	+	0.0587710i
$238$	−6.23895	−	0.446219i	−0.404411	−	0.0289241i
$239$	−8.36634	+	1.20290i	−0.541174	+	0.0778090i	−0.407481	−	0.913214i	$-0.633593\pi$
$239$	−8.36634	+	1.20290i	−0.541174	+	0.0778090i	−0.133693	+	0.991023i	$0.542684\pi$
$240$	−0.498380	−	0.0660238i	−0.0321703	−	0.00426182i
$241$	−3.95621	−	13.4736i	−0.254842	−	0.867912i	−0.983172	−	0.182685i	$-0.941521\pi$
$241$	−3.95621	−	13.4736i	−0.254842	−	0.867912i	0.728330	−	0.685227i	$-0.240297\pi$
$242$	−1.65067	−	0.901332i	−0.106109	−	0.0579398i
$243$	2.07393	+	5.56042i	0.133043	+	0.356701i
$244$	−1.52114	−	10.5798i	−0.0973813	−	0.677302i
$245$	−5.50076	−	24.0020i	−0.351431	−	1.53343i
$246$	0.400678	+	0.877362i	0.0255463	+	0.0559386i
$247$	7.08170	−	32.5540i	0.450598	−	2.07136i
$248$	1.63999	+	2.19076i	0.104139	+	0.139114i
$249$	−0.0890444	−	0.0572253i	−0.00564296	−	0.00362651i
$250$	−11.0075	+	1.95835i	−0.696175	+	0.123857i
$251$	0.649447	−	2.21181i	0.0409928	−	0.139609i	−0.936454	−	0.350790i	$-0.885913\pi$
$251$	0.649447	−	2.21181i	0.0409928	−	0.139609i	0.977447	+	0.211182i	$0.0677312\pi$
$252$	−8.85137	+	8.85137i	−0.557584	+	0.557584i
$253$	−10.0672	+	10.4113i	−0.632922	+	0.654550i
$254$		−	6.62239i		−	0.415526i
$255$	−0.529690	−	0.518070i	−0.0331705	−	0.0324428i
$256$	−0.654861	+	0.755750i	−0.0409288	+	0.0472343i
$257$	3.35786	+	15.4359i	0.209458	+	0.962862i	0.955047	+	0.296456i	$0.0958047\pi$
$257$	3.35786	+	15.4359i	0.209458	+	0.962862i	−0.745589	+	0.666406i	$0.767832\pi$
$258$	0.384832	−	0.288082i	0.0239586	−	0.0179352i
$259$	−14.3997	−	22.4063i	−0.894752	−	1.39226i
$260$	−8.69255	−	9.80979i	−0.539089	−	0.608377i
$261$	12.2355	+	14.1206i	0.757361	+	0.874041i
$262$	−0.153892	+	0.205576i	−0.00950749	+	0.0127005i
$263$	−11.6117	+	4.33095i	−0.716009	+	0.267058i	−0.680952	−	0.732328i	$-0.738434\pi$
$263$	−11.6117	+	4.33095i	−0.716009	+	0.267058i	−0.0350568	+	0.999385i	$0.511161\pi$
$264$	0.651442	−	0.191281i	0.0400935	−	0.0117725i
$265$	15.6527	−	10.3064i	0.961539	−	0.633120i
$266$	10.0206	−	21.9421i	0.614404	−	1.34536i
$267$	−1.80860	−	1.35390i	−0.110685	−	0.0828576i
$268$	0.313560	−	4.38415i	0.0191537	−	0.267804i
$269$	−11.3264	+	5.17260i	−0.690584	+	0.315379i	−0.729614	−	0.683859i	$-0.760300\pi$
$269$	−11.3264	+	5.17260i	−0.690584	+	0.315379i	0.0390305	+	0.999238i	$0.487573\pi$
$270$	−2.98082	+	0.246446i	−0.181407	+	0.0149982i
$271$	0.839048	−	5.83571i	0.0509685	−	0.354494i	−0.948338	−	0.317262i	$-0.897237\pi$
$271$	0.839048	−	5.83571i	0.0509685	−	0.354494i	0.999307	−	0.0372325i	$-0.0118542\pi$
$272$	−1.44011	+	0.313276i	−0.0873194	+	0.0189952i
$273$	5.57888	−	0.399009i	0.337649	−	0.0241491i
$274$	13.0886	+	3.84316i	0.790712	+	0.232174i
$275$	12.5180	−	8.44287i	0.754863	−	0.509124i
$276$	0.0181110	+	1.07809i	0.00109015	+	0.0648935i
$277$	−4.36140	−	4.36140i	−0.262051	−	0.262051i	0.563836	−	0.825887i	$-0.309325\pi$
$277$	−4.36140	−	4.36140i	−0.262051	−	0.262051i	−0.825887	+	0.563836i	$0.809325\pi$
$278$	12.1299	−	6.62342i	0.727502	−	0.397246i
$279$	6.10002	+	5.28570i	0.365199	+	0.316446i
$280$	−4.64019	−	8.27829i	−0.277305	−	0.494722i
$281$	−27.7915	−	3.99581i	−1.65790	−	0.238370i	−0.751178	−	0.660099i	$-0.770514\pi$
$281$	−27.7915	−	3.99581i	−1.65790	−	0.238370i	−0.906722	+	0.421729i	$0.861423\pi$
$282$	0.322157	+	0.0700809i	0.0191841	+	0.00417326i
$283$	−1.30311	+	3.49378i	−0.0774620	+	0.207684i	−0.969909	−	0.243469i	$-0.921714\pi$
$283$	−1.30311	+	3.49378i	−0.0774620	+	0.207684i	0.892447	+	0.451153i	$0.148987\pi$
$284$	−6.11460	+	5.29833i	−0.362835	+	0.314398i
$285$	2.58583	−	1.21574i	0.153171	−	0.0720145i
$286$	16.1014	+	7.35325i	0.952094	+	0.434807i
$287$	−8.72580	+	15.9801i	−0.515068	+	0.943276i
$288$	−1.41352	+	2.58867i	−0.0832926	+	0.152539i
$289$	13.4880	+	6.15975i	0.793410	+	0.362338i
$290$	−12.8189	+	6.02690i	−0.752753	+	0.353912i
$291$	−2.19856	+	1.90506i	−0.128882	+	0.111677i
$292$	2.00218	−	5.36805i	0.117169	−	0.314141i
$293$	−13.3607	−	2.90644i	−0.780539	−	0.169796i	−0.195394	−	0.980725i	$-0.562599\pi$
$293$	−13.3607	−	2.90644i	−0.780539	−	0.169796i	−0.585145	+	0.810929i	$0.698962\pi$
$294$	2.45069	+	0.352356i	0.142927	+	0.0205498i
$295$	11.4788	+	20.4786i	0.668321	+	1.19231i
$296$	−4.74282	−	4.10968i	−0.275671	−	0.238870i
$297$	3.54525	−	1.93585i	0.205716	−	0.112329i
$298$	−10.4321	−	10.4321i	−0.604313	−	0.604313i
$299$	−18.0495	+	21.5513i	−1.04383	+	1.24634i
$300$	0.214535	−	1.10349i	0.0123862	−	0.0637098i
$301$	8.70683	+	2.55656i	0.501853	+	0.147357i
$302$	12.1835	−	0.871384i	0.701084	−	0.0501425i
$303$	−0.381242	+	0.0829341i	−0.0219018	+	0.00476444i
$304$	0.808869	−	5.62581i	0.0463918	−	0.322662i
$305$	23.8191	−	1.96930i	1.36388	−	0.112762i
$306$	−3.95405	+	1.80575i	−0.226038	+	0.103228i
$307$	1.04823	−	14.6562i	0.0598257	−	0.836472i	−0.875620	−	0.483001i	$-0.839547\pi$
$307$	1.04823	−	14.6562i	0.0598257	−	0.836472i	0.935445	−	0.353471i	$-0.114999\pi$
$308$	10.2600	+	7.68056i	0.584619	+	0.437640i
$309$	1.70809	−	3.74020i	0.0971699	−	0.212772i
$310$	−5.11082	+	3.36519i	−0.290275	+	0.191130i
$311$	20.7030	−	6.07895i	1.17396	−	0.344706i	0.364117	−	0.931353i	$-0.381371\pi$
$311$	20.7030	−	6.07895i	1.17396	−	0.344706i	0.809842	+	0.586648i	$0.199553\pi$
$312$	1.23477	−	0.460546i	0.0699052	−	0.0260733i
$313$	13.5796	−	18.1402i	0.767564	−	1.02535i	−0.231061	−	0.972939i	$-0.574220\pi$
$313$	13.5796	−	18.1402i	0.767564	−	1.02535i	0.998626	−	0.0524068i	$-0.0166893\pi$
$314$	6.73643	+	7.77426i	0.380159	+	0.438727i
$315$	−18.5633	−	20.9492i	−1.04593	−	1.18036i
$316$	6.22572	+	9.68741i	0.350224	+	0.544960i
$317$	−17.9811	+	13.4604i	−1.00992	+	0.756014i	−0.969979	−	0.243188i	$-0.921807\pi$
$317$	−17.9811	+	13.4604i	−1.00992	+	0.756014i	−0.0399375	+	0.999202i	$0.512716\pi$
$318$	0.400550	+	1.84130i	0.0224617	+	0.103255i
$319$	12.5274	−	14.4574i	0.701402	−	0.809461i
$320$	−1.59858	−	1.56351i	−0.0893631	−	0.0874027i
$321$			2.31822i			0.129390i
$322$	−16.0870	+	12.4696i	−0.896493	+	0.694905i
$323$	5.92309	−	5.92309i	0.329570	−	0.329570i
$324$	−2.40814	+	8.20138i	−0.133786	+	0.455632i
$325$	23.0670	−	18.0797i	1.27953	−	1.00288i
$326$	−17.7757	−	11.4237i	−0.984502	−	0.632701i
$327$	−1.21883	−	1.62817i	−0.0674014	−	0.0900378i
$328$	−0.911910	+	4.19198i	−0.0503518	+	0.231464i
$329$	2.58536	+	5.66114i	0.142535	+	0.312109i
$330$	0.339140	+	1.47980i	0.0186690	+	0.0814603i
$331$	0.0430398	+	0.299348i	0.00236568	+	0.0164537i	0.990970	−	0.134083i	$-0.0428089\pi$
$331$	0.0430398	+	0.299348i	0.00236568	+	0.0164537i	−0.988604	+	0.150537i	$0.951900\pi$
$332$	−0.164524	−	0.441106i	−0.00902942	−	0.0242088i
$333$	−16.2456	−	8.87077i	−0.890254	−	0.486115i
$334$	0.415961	+	1.41663i	0.0227604	+	0.0775148i
$335$	9.74317	+	1.29074i	0.532326	+	0.0705209i
$336$	0.944484	−	0.135796i	0.0515258	−	0.00740830i
$337$	−17.8317	−	1.27535i	−0.971354	−	0.0694726i	−0.423366	−	0.905959i	$-0.639152\pi$
$337$	−17.8317	−	1.27535i	−0.971354	−	0.0694726i	−0.547988	+	0.836486i	$0.684606\pi$
$338$	20.0118	+	7.46403i	1.08850	+	0.405989i
$339$	1.68702	−	1.08418i	0.0916264	−	0.0588847i
$340$	−0.505142	−	3.25655i	−0.0273952	−	0.176611i
$341$	4.46788	−	6.95215i	0.241949	−	0.376480i
$342$	−1.19591	−	16.7210i	−0.0646673	−	0.904166i
$343$	8.16089	+	14.9456i	0.440647	+	0.806984i
$344$	2.13813			0.115280
$345$	−2.40875	−	0.104877i	−0.129683	−	0.00564639i
$346$	−15.5566			−0.836329
$347$	9.01289	+	16.5059i	0.483837	+	0.886082i	0.999570	+	0.0293320i	$0.00933800\pi$
$347$	9.01289	+	16.5059i	0.483837	+	0.886082i	−0.515733	+	0.856750i	$0.672480\pi$
$348$	−0.101605	−	1.42062i	−0.00544659	−	0.0761533i
$349$	18.7709	−	29.2081i	1.00478	−	1.56347i	0.191593	−	0.981474i	$-0.438635\pi$
$349$	18.7709	−	29.2081i	1.00478	−	1.56347i	0.813190	−	0.581998i	$-0.197729\pi$
$350$	19.1025	−	9.24121i	1.02107	−	0.493963i
$351$	6.59590	−	4.23893i	0.352063	−	0.226257i
$352$	2.82941	+	1.05532i	0.150808	+	0.0562486i
$353$	−6.03442	−	0.431590i	−0.321180	−	0.0229712i	−0.0901814	−	0.995925i	$-0.528745\pi$
$353$	−6.03442	−	0.431590i	−0.321180	−	0.0229712i	−0.230998	+	0.972954i	$0.574199\pi$
$354$	−2.33644	+	0.335929i	−0.124180	+	0.0178544i
$355$	−11.0018	−	14.3619i	−0.583914	−	0.762250i
$356$	−2.83102	−	9.64158i	−0.150044	−	0.511003i
$357$	1.23427	+	0.673960i	0.0653243	+	0.0356698i
$358$	−5.39240	−	14.4576i	−0.284997	−	0.764107i
$359$	−0.514662	−	3.57955i	−0.0271628	−	0.188922i	0.971722	−	0.236126i	$-0.0758778\pi$
$359$	−0.514662	−	3.57955i	−0.0271628	−	0.188922i	−0.998885	+	0.0472045i	$0.984969\pi$
$360$	−5.58741	−	3.50387i	−0.294483	−	0.184670i
$361$	5.52668	+	12.1017i	0.290878	+	0.636934i
$362$	−2.36283	+	10.8617i	−0.124187	+	0.570880i
$363$	0.253399	+	0.338502i	0.0133000	+	0.0177667i
$364$	20.9280	+	13.4496i	1.09693	+	0.704952i
$365$	11.7117	+	5.19235i	0.613016	+	0.271780i
$366$	−0.677034	+	2.30577i	−0.0353891	+	0.120524i
$367$	13.4097	−	13.4097i	0.699980	−	0.699980i	−0.264426	−	0.964406i	$-0.585183\pi$
$367$	13.4097	−	13.4097i	0.699980	−	0.699980i	0.964406	+	0.264426i	$0.0851826\pi$
$368$	−2.80914	+	3.88699i	−0.146437	+	0.202624i
$369$			12.6532i			0.658700i
$370$	9.81203	−	10.0321i	0.510103	−	0.521544i
$371$	−23.2940	+	26.8827i	−1.20937	+	1.39568i
$372$	−0.130785	−	0.601209i	−0.00678088	−	0.0311712i
$373$	20.6232	−	15.4383i	1.06783	−	0.799366i	0.0873858	−	0.996175i	$-0.472149\pi$
$373$	20.6232	−	15.4383i	1.06783	−	0.799366i	0.980442	+	0.196809i	$0.0630578\pi$
$374$	2.40616	+	3.74406i	0.124420	+	0.193601i
$375$	2.43407	+	0.627566i	0.125695	+	0.0324074i
$376$	0.960291	+	1.10823i	0.0495232	+	0.0571528i
$377$	22.2525	−	29.7258i	1.14606	−	1.53096i
$378$	5.31901	−	1.98389i	0.273580	−	0.102040i
$379$	−14.4353	+	4.23858i	−0.741490	+	0.217721i	−0.630596	−	0.776111i	$-0.717190\pi$
$379$	−14.4353	+	4.23858i	−0.741490	+	0.217721i	−0.110894	+	0.993832i	$0.535371\pi$
$380$	12.4478	+	2.56362i	0.638559	+	0.131511i
$381$	−0.618515	+	1.35436i	−0.0316875	+	0.0693860i
$382$	−0.381661	−	0.285708i	−0.0195275	−	0.0146181i
$383$	−0.839642	+	11.7397i	−0.0429037	+	0.599872i	0.929836	+	0.367974i	$0.119948\pi$
$383$	−0.839642	+	11.7397i	−0.0429037	+	0.599872i	−0.972740	+	0.231899i	$0.925506\pi$
$384$	0.204512	−	0.0933976i	0.0104365	−	0.00476617i
$385$	−18.5258	+	21.8653i	−0.944164	+	1.11436i
$386$	2.56373	−	17.8311i	0.130490	−	0.907581i
$387$	6.16219	−	1.34050i	0.313242	−	0.0681416i
$388$	−12.9062	+	0.923070i	−0.655213	+	0.0468618i
$389$	21.7646	+	6.39066i	1.10351	+	0.324019i	0.782245	−	0.622971i	$-0.214075\pi$
$389$	21.7646	+	6.39066i	1.10351	+	0.324019i	0.321263	+	0.946990i	$0.395893\pi$
$390$	0.861522	+	2.81808i	0.0436249	+	0.142699i
$391$	−6.74733	+	2.10493i	−0.341227	+	0.106451i
$392$	7.78686	+	7.78686i	0.393296	+	0.393296i
$393$	0.0506731	−	0.0276696i	0.00255612	−	0.00139575i
$394$	−3.15964	−	2.73784i	−0.159180	−	0.137930i
$395$	−22.4614	+	12.5902i	−1.13016	+	0.633482i
$396$	8.81614	+	1.26757i	0.443028	+	0.0636978i
$397$	−20.8157	−	4.52817i	−1.04471	−	0.227262i	−0.342710	−	0.939441i	$-0.611345\pi$
$397$	−20.8157	−	4.52817i	−1.04471	−	0.227262i	−0.701998	+	0.712179i	$0.747708\pi$
$398$	−4.63423	+	12.4249i	−0.232293	+	0.622802i
$399$	−4.09868	+	3.55153i	−0.205191	+	0.177799i
$400$	3.70520	−	3.35730i	0.185260	−	0.167865i
$401$	−8.25340	−	3.76920i	−0.412155	−	0.188225i	0.198536	−	0.980094i	$-0.436381\pi$
$401$	−8.25340	−	3.76920i	−0.412155	−	0.188225i	−0.610692	+	0.791869i	$0.709108\pi$
$402$	−0.473596	+	0.867326i	−0.0236208	+	0.0432583i
$403$	7.68759	−	14.0788i	0.382946	−	0.701313i
$404$	−1.57853	−	0.720891i	−0.0785349	−	0.0358657i
$405$	−17.9809	−	6.48033i	−0.893480	−	0.322010i
$406$	20.3187	−	17.6062i	1.00840	−	0.873782i
$407$	−6.62281	+	17.7564i	−0.328280	+	0.880154i
$408$	0.323779	+	0.0704338i	0.0160294	+	0.00348699i
$409$	−22.7524	−	3.27130i	−1.12503	−	0.161755i	−0.445417	−	0.895323i	$-0.646945\pi$
$409$	−22.7524	−	3.27130i	−1.12503	−	0.161755i	−0.679616	+	0.733568i	$0.737854\pi$
$410$	−9.23362	−	2.60036i	−0.456016	−	0.128423i
$411$	−2.31784	−	2.00842i	−0.114330	−	0.0990679i
$412$	16.0513	−	8.76469i	0.790793	−	0.431805i
$413$	−31.5075	−	31.5075i	−1.55038	−	1.55038i
$414$	−5.65913	+	12.9637i	−0.278131	+	0.637131i
$415$	1.00672	−	0.307767i	0.0494181	−	0.0151077i
$416$	5.62417	+	1.65141i	0.275748	+	0.0809669i
$417$	−3.09932	+	0.221668i	−0.151774	+	0.0108551i
$418$	−16.7714	+	3.64839i	−0.820314	+	0.178448i
$419$	0.998722	−	6.94626i	0.0487908	−	0.339347i	−0.950775	−	0.309882i	$-0.899710\pi$
$419$	0.998722	−	6.94626i	0.0487908	−	0.339347i	0.999566	−	0.0294653i	$-0.00938044\pi$
$420$	0.175804	+	2.12639i	0.00857836	+	0.103757i
$421$	−4.14762	+	1.89416i	−0.202143	+	0.0923155i	−0.513914	−	0.857842i	$-0.671805\pi$
$421$	−4.14762	+	1.89416i	−0.202143	+	0.0923155i	0.311771	+	0.950157i	$0.399078\pi$
$422$	1.01704	−	14.2201i	0.0495088	−	0.692224i
$423$	3.46241	+	2.59193i	0.168348	+	0.126024i
$424$	−3.48171	+	7.62389i	−0.169087	+	0.370249i
$425$	7.33670	−	0.688573i	0.355882	−	0.0334007i
$426$	1.74536	−	0.512484i	0.0845630	−	0.0248299i
$427$	−42.5031	+	15.8528i	−2.05687	+	0.767173i
$428$	−6.17916	+	8.25439i	−0.298681	+	0.398991i
$429$	−2.60615	−	3.00766i	−0.125826	−	0.145211i
$430$	−0.288168	+	4.77231i	−0.0138967	+	0.230141i
$431$	−7.35787	−	11.4491i	−0.354416	−	0.551483i	0.617571	−	0.786515i	$-0.288117\pi$
$431$	−7.35787	−	11.4491i	−0.354416	−	0.551483i	−0.971988	+	0.235032i	$0.924480\pi$
$432$	1.07081	−	0.801601i	0.0515196	−	0.0385671i
$433$	−2.06009	−	9.47007i	−0.0990015	−	0.455103i	−0.999783	−	0.0208300i	$-0.993369\pi$
$433$	−2.06009	−	9.47007i	−0.0990015	−	0.455103i	0.900782	−	0.434273i	$-0.142995\pi$
$434$	7.60581	−	8.77757i	0.365090	−	0.421337i
$435$	3.18452	−	0.0353167i	0.152686	−	0.00169331i
$436$		−	9.04610i		−	0.433230i
$437$	1.48760	−	27.2173i	0.0711617	−	1.30198i
$438$	−0.910833	+	0.910833i	−0.0435213	+	0.0435213i
$439$	−5.02868	+	17.1261i	−0.240006	+	0.817384i	0.748097	+	0.663589i	$0.230968\pi$
$439$	−5.02868	+	17.1261i	−0.240006	+	0.817384i	−0.988103	+	0.153795i	$0.950850\pi$
$440$	−2.73681	+	6.17303i	−0.130472	+	0.294288i
$441$	27.3241	+	17.5601i	1.30115	+	0.836196i
$442$	5.17702	+	6.91570i	0.246246	+	0.328946i
$443$	−3.95656	+	18.1880i	−0.187982	+	0.864138i	0.782441	+	0.622725i	$0.213974\pi$
$443$	−3.95656	+	18.1880i	−0.187982	+	0.864138i	−0.970422	+	0.241413i	$0.922389\pi$
$444$	0.586131	+	1.28345i	0.0278165	+	0.0609097i
$445$	21.9016	−	5.01940i	1.03823	−	0.237942i
$446$	0.690474	+	4.80235i	0.0326949	+	0.227398i
$447$	1.15915	+	3.10781i	0.0548261	+	0.146994i
$448$	3.72495	+	2.03398i	0.175987	+	0.0960963i
$449$	−7.56267	−	25.7561i	−0.356905	−	1.21551i	−0.920924	−	0.389743i	$-0.872564\pi$
$449$	−7.56267	−	25.7561i	−0.356905	−	1.21551i	0.564019	−	0.825762i	$-0.309254\pi$
$450$	8.57371	−	11.9989i	0.404168	−	0.565633i
$451$	12.8232	−	1.84370i	0.603822	−	0.0868164i
$452$	8.89677	+	0.636309i	0.418469	+	0.0299295i
$453$	−2.57307	−	0.959705i	−0.120893	−	0.0450909i
$454$	19.5787	−	12.5825i	0.918876	−	0.590526i
$455$	−32.8402	+	44.8987i	−1.53957	+	2.10488i
$456$	−0.690860	+	1.07500i	−0.0323525	+	0.0503415i
$457$	−0.897191	−	12.5444i	−0.0419688	−	0.586801i	−0.974309	−	0.225217i	$-0.927691\pi$
$457$	−0.897191	−	12.5444i	−0.0419688	−	0.586801i	0.932340	−	0.361583i	$-0.117764\pi$
$458$	0.304845	+	0.558282i	0.0142445	+	0.0260868i
$459$	1.97136			0.0920151
$460$	−8.29718	−	6.79389i	−0.386858	−	0.316767i
$461$	−17.9112			−0.834208			−0.417104	−	0.908859i	$-0.636955\pi$
$461$	−17.9112			−0.834208			−0.417104	+	0.908859i	$0.636955\pi$
$462$	−1.38095	−	2.52903i	−0.0642478	−	0.117661i
$463$	−0.639316	−	8.93881i	−0.0297115	−	0.415422i	−0.990441	−	0.137936i	$-0.955953\pi$
$463$	−0.639316	−	8.93881i	−0.0297115	−	0.415422i	0.960730	−	0.277486i	$-0.0895012\pi$
$464$	3.42485	−	5.32917i	0.158995	−	0.247401i
$465$	1.35953	−	0.210884i	0.0630465	−	0.00977950i
$466$	15.1326	−	9.72512i	0.701003	−	0.450507i
$467$	37.0654	+	13.8247i	1.71518	+	0.639731i	0.998345	−	0.0575081i	$-0.0183155\pi$
$467$	37.0654	+	13.8247i	1.71518	+	0.639731i	0.716839	+	0.697239i	$0.245588\pi$
$468$	17.2445	+	1.23335i	0.797127	+	0.0570116i
$469$	−18.4644	+	2.65477i	−0.852605	+	0.122586i
$470$	−2.60301	+	1.99401i	−0.120068	+	0.0919768i
$471$	−0.651586	−	2.21910i	−0.0300235	−	0.102251i
$472$	−9.21468	−	5.03159i	−0.424140	−	0.231598i
$473$	−2.25640	−	6.04965i	−0.103750	−	0.278163i
$474$	−0.368455	−	2.56266i	−0.0169237	−	0.117707i
$475$	−7.39967	+	27.4380i	−0.339520	+	1.25894i
$476$	2.59837	+	5.68965i	0.119096	+	0.260785i
$477$	−5.25466	+	24.1553i	−0.240594	+	1.10599i
$478$	5.06532	+	6.76648i	0.231682	+	0.309491i
$479$	−19.8287	−	12.7431i	−0.905995	−	0.582248i	0.00256735	−	0.999997i	$-0.499183\pi$
$479$	−19.8287	−	12.7431i	−0.905995	−	0.582248i	−0.908562	+	0.417749i	$0.862819\pi$
$480$	0.180900	+	0.469059i	0.00825693	+	0.0214095i
$481$	−10.3637	+	35.2954i	−0.472542	+	1.60933i
$482$	−9.92950	+	9.92950i	−0.452276	+	0.452276i
$483$	4.45462	−	1.04770i	0.202692	−	0.0476722i
$484$			1.88072i			0.0854872i
$485$	−0.320849	−	28.9311i	−0.0145690	−	1.31369i
$486$	3.88633	−	4.48507i	0.176288	−	0.203447i
$487$	3.92866	+	18.0597i	0.178024	+	0.818365i	0.976360	+	0.216152i	$0.0693506\pi$
$487$	3.92866	+	18.0597i	0.178024	+	0.818365i	−0.798335	+	0.602213i	$0.794286\pi$
$488$	−8.55665	+	6.40543i	−0.387341	+	0.289960i
$489$	2.56839	+	3.99649i	0.116147	+	0.180728i
$490$	−18.4298	+	16.3308i	−0.832573	+	0.737751i
$491$	−15.4434	−	17.8226i	−0.696950	−	0.804323i	0.291387	−	0.956605i	$-0.405883\pi$
$491$	−15.4434	−	17.8226i	−0.696950	−	0.804323i	−0.988337	+	0.152282i	$0.951338\pi$
$492$	0.578018	−	0.772141i	0.0260591	−	0.0348108i
$493$	8.74751	−	3.26265i	0.393968	−	0.146942i
$494$	−31.9659	+	9.38603i	−1.43821	+	0.422298i
$495$	−4.01742	+	19.5068i	−0.180570	+	0.876766i
$496$	1.13683	−	2.48930i	0.0510450	−	0.111773i
$497$	27.4889	+	20.5780i	1.23305	+	0.923048i
$498$	−0.00755106	+	0.105578i	−0.000338371	+	0.00473104i
$499$	22.8385	−	10.4300i	1.02239	−	0.466910i	0.167585	−	0.985858i	$-0.446403\pi$
$499$	22.8385	−	10.4300i	1.02239	−	0.466910i	0.854806	+	0.518947i	$0.173676\pi$
$500$	6.99413	+	8.72251i	0.312787	+	0.390082i
$501$	0.0472410	−	0.328569i	0.00211057	−	0.0146794i
$502$	−2.25251	+	0.490004i	−0.100534	+	0.0218699i
$503$	6.49258	−	0.464358i	0.289490	−	0.0207047i	0.0741608	−	0.997246i	$-0.476372\pi$
$503$	6.49258	−	0.464358i	0.289490	−	0.0207047i	0.215329	+	0.976542i	$0.430918\pi$
$504$	12.0107	+	3.52665i	0.534998	+	0.157090i
$505$	1.82178	−	3.42613i	0.0810681	−	0.152461i
$506$	13.9625	+	3.84622i	0.620707	+	0.170985i
$507$	−3.39554	−	3.39554i	−0.150801	−	0.150801i
$508$	−5.81234	+	3.17378i	−0.257881	+	0.140814i
$509$	13.7776	+	11.9384i	0.610683	+	0.529160i	0.904374	−	0.426740i	$-0.140338\pi$
$509$	13.7776	+	11.9384i	0.610683	+	0.529160i	−0.293691	+	0.955900i	$0.594884\pi$
$510$	−0.200846	+	0.713182i	−0.00889361	+	0.0315802i
$511$	−24.0681	−	3.46047i	−1.06471	−	0.153082i
$512$	0.977147	+	0.212565i	0.0431842	+	0.00939415i
$513$	−2.65681	+	7.12319i	−0.117301	+	0.314497i
$514$	11.9385	−	10.3447i	0.526583	−	0.456287i
$515$	17.3995	+	37.0079i	0.766713	+	1.63076i
$516$	−0.437273	−	0.199696i	−0.0192499	−	0.00879113i
$517$	2.12224	−	3.88660i	0.0933362	−	0.170932i
$518$	−12.7645	+	23.3765i	−0.560841	+	1.02710i
$519$	3.18152	+	1.45295i	0.139653	+	0.0637775i
$520$	−4.44395	+	12.3306i	−0.194880	+	0.540733i
$521$	−12.4715	+	10.8066i	−0.546387	+	0.473447i	−0.883771	−	0.467920i	$-0.845004\pi$
$521$	−12.4715	+	10.8066i	−0.546387	+	0.473447i	0.337383	+	0.941367i	$0.390458\pi$
$522$	6.52945	−	17.5061i	0.285786	−	0.766223i
$523$	−18.8457	−	4.09964i	−0.824067	−	0.179265i	−0.219290	−	0.975660i	$-0.570374\pi$
$523$	−18.8457	−	4.09964i	−0.824067	−	0.179265i	−0.604777	+	0.796395i	$0.706738\pi$
$524$	0.254182	+	0.0365459i	0.0111040	+	0.00159651i
$525$	−4.76981	+	0.105808i	−0.208172	+	0.00461786i
$526$	9.36608	+	8.11576i	0.408381	+	0.353864i
$527$	3.53983	−	1.93290i	0.154198	−	0.0841982i
$528$	−0.480086	−	0.480086i	−0.0208930	−	0.0208930i
$529$	−11.7778	+	19.7556i	−0.512079	+	0.858938i
$530$	−16.5473	−	8.79871i	−0.718769	−	0.382192i
$531$	−29.7117	−	8.72414i	−1.28938	−	0.378596i
$532$	−24.0605	+	1.72084i	−1.04315	+	0.0746079i
$533$	24.5718	−	5.34526i	1.06432	−	0.231529i
$534$	−0.321522	+	2.23623i	−0.0139136	+	0.0967712i
$535$	−17.5910	−	14.9044i	−0.760526	−	0.644373i
$536$	−3.99815	+	1.82589i	−0.172694	+	0.0788665i
$537$	−0.247492	+	3.46039i	−0.0106801	+	0.149327i
$538$	9.96805	+	7.46199i	0.429753	+	0.321709i
$539$	13.8147	−	30.2499i	0.595039	−	1.30295i
$540$	1.64486	+	2.49810i	0.0707833	+	0.107501i
$541$	3.38355	−	0.993499i	0.145470	−	0.0427139i	−0.208187	−	0.978089i	$-0.566756\pi$
$541$	3.38355	−	0.993499i	0.145470	−	0.0427139i	0.353657	+	0.935375i	$0.384938\pi$
$542$	−5.52399	+	2.06034i	−0.237276	+	0.0884993i
$543$	1.49769	−	2.00068i	0.0642719	−	0.0858572i
$544$	0.965126	+	1.11382i	0.0413794	+	0.0477544i
$545$	20.1909	+	1.21920i	0.864884	+	0.0522246i
$546$	−3.02387	−	4.70524i	−0.129410	−	0.201366i
$547$	34.4056	−	25.7557i	1.47108	−	1.10124i	0.498993	−	0.866606i	$-0.333703\pi$
$547$	34.4056	−	25.7557i	1.47108	−	1.10124i	0.972085	−	0.234629i	$-0.0753877\pi$
$548$	−2.89964	−	13.3294i	−0.123866	−	0.569405i
$549$	−20.6448	+	23.8254i	−0.881098	+	1.01684i
$550$	−13.4094	−	6.94054i	−0.571777	−	0.295946i
$551$			36.0048i			1.53386i
$552$	0.937539	−	0.532570i	0.0399043	−	0.0226677i
$553$	34.5581	−	34.5581i	1.46956	−	1.46956i
$554$	−1.73771	+	5.91810i	−0.0738283	+	0.251436i
$555$	−2.94365	+	1.13527i	−0.124951	+	0.0481894i
$556$	−11.6265	−	7.47188i	−0.493072	−	0.316878i
$557$	−3.75275	−	5.01309i	−0.159009	−	0.212412i	0.713960	−	0.700186i	$-0.246900\pi$
$557$	−3.75275	−	5.01309i	−0.159009	−	0.212412i	−0.872970	+	0.487775i	$0.837809\pi$
$558$	1.71572	−	7.88702i	0.0726321	−	0.333884i
$559$	−5.20635	−	11.4003i	−0.220205	−	0.482182i
$560$	−5.04187	+	8.03996i	−0.213058	+	0.339750i
$561$	−0.142403	−	0.990434i	−0.00601226	−	0.0418162i
$562$	9.81200	+	26.3070i	0.413894	+	1.10969i
$563$	−20.8820	−	11.4024i	−0.880070	−	0.480554i	−0.0253705	−	0.999678i	$-0.508077\pi$
$563$	−20.8820	−	11.4024i	−0.880070	−	0.480554i	−0.854699	+	0.519124i	$0.826258\pi$
$564$	−0.0928847	−	0.316336i	−0.00391115	−	0.0133202i
$565$	−2.61931	+	19.7719i	−0.110195	+	0.831808i
$566$	3.69093	−	0.530676i	0.155142	−	0.0223060i
$567$	36.1844	+	2.58796i	1.51960	+	0.108684i
$568$	7.58065	+	2.82744i	0.318077	+	0.118637i
$569$	−0.378590	+	0.243305i	−0.0158713	+	0.0101999i	−0.548552	−	0.836116i	$-0.684821\pi$
$569$	−0.378590	+	0.243305i	−0.0158713	+	0.0101999i	0.532681	+	0.846316i	$0.321185\pi$
$570$	−2.30629	−	1.68689i	−0.0965999	−	0.0706559i
$571$	−5.18400	+	8.06646i	−0.216944	+	0.337571i	−0.932619	−	0.360862i	$-0.882483\pi$
$571$	−5.18400	+	8.06646i	−0.216944	+	0.337571i	0.715676	+	0.698433i	$0.246119\pi$
$572$	−1.26277	−	17.6559i	−0.0527992	−	0.738229i
$573$	0.0513698	+	0.0940768i	0.00214601	+	0.00393012i
$574$	18.2072			0.759956
$575$	16.2822	−	17.6037i	0.679016	−	0.734124i
$576$	2.94945			0.122894
$577$	3.29705	+	6.03810i	0.137258	+	0.251369i	0.937262	−	0.348625i	$-0.113351\pi$
$577$	3.29705	+	6.03810i	0.137258	+	0.251369i	−0.800004	+	0.599994i	$0.795169\pi$
$578$	−1.05781	−	14.7902i	−0.0439992	−	0.615190i
$579$	−2.18970	+	3.40724i	−0.0910008	+	0.141600i
$580$	11.4331	+	8.36252i	0.474735	+	0.347235i
$581$	−1.68088	+	1.08024i	−0.0697348	+	0.0448158i
$582$	2.72569	+	1.01663i	0.112983	+	0.0421406i
$583$	25.2455	+	1.80559i	1.04556	+	0.0747800i
$584$	−5.67097	+	0.815362i	−0.234666	+	0.0337399i
$585$	−5.07698	+	38.3235i	−0.209907	+	1.58448i
$586$	3.85217	+	13.1193i	0.159132	+	0.541953i
$587$	−13.6135	−	7.43355i	−0.561890	−	0.306815i	0.173088	−	0.984906i	$-0.444626\pi$
$587$	−13.6135	−	7.43355i	−0.561890	−	0.306815i	−0.734978	+	0.678091i	$0.762807\pi$
$588$	−0.865234	−	2.31978i	−0.0356816	−	0.0956662i
$589$	2.21355	+	15.3956i	0.0912079	+	0.634365i
$590$	12.4724	−	19.8890i	0.513483	−	0.818819i
$591$	0.390476	+	0.855024i	0.0160621	+	0.0351710i
$592$	−1.33399	+	6.13224i	−0.0548265	+	0.252033i
$593$	−20.0355	−	26.7643i	−0.822760	−	1.09908i	−0.993508	−	0.113763i	$-0.963709\pi$
$593$	−20.0355	−	26.7643i	−0.822760	−	1.09908i	0.170748	−	0.985315i	$-0.445381\pi$
$594$	−3.39811	−	2.18383i	−0.139426	−	0.0896038i
$595$	−13.0495	+	5.03275i	−0.534978	+	0.206323i
$596$	−4.15644	+	14.1555i	−0.170255	+	0.579834i
$597$	2.10821	−	2.10821i	0.0862832	−	0.0862832i
$598$	27.5654	+	5.51326i	1.12723	+	0.225454i
$599$		−	32.4892i		−	1.32747i	−0.747968	−	0.663735i	$-0.768970\pi$
$599$		−	32.4892i		−	1.32747i	0.747968	−	0.663735i	$-0.231030\pi$
$600$	−1.07132	+	0.340552i	−0.0437366	+	0.0139030i
$601$	−1.65841	+	1.91391i	−0.0676479	+	0.0780699i	−0.788565	−	0.614952i	$-0.789175\pi$
$601$	−1.65841	+	1.91391i	−0.0676479	+	0.0780699i	0.720917	+	0.693022i	$0.243721\pi$
$602$	−1.92890	−	8.86703i	−0.0786163	−	0.361393i
$603$	−10.3781	+	7.76895i	−0.422629	+	0.316376i
$604$	−6.60375	−	10.2756i	−0.268703	−	0.418109i
$605$	−4.19777	−	0.253475i	−0.170663	−	0.0103052i
$606$	0.255499	+	0.294862i	0.0103790	+	0.0119780i
$607$	16.9849	−	22.6891i	0.689395	−	0.920923i	−0.310163	−	0.950684i	$-0.600383\pi$
$607$	16.9849	−	22.6891i	0.689395	−	0.920923i	0.999557	+	0.0297603i	$0.00947439\pi$
$608$	−5.32530	+	1.98624i	−0.215970	+	0.0805525i
$609$	−5.79979	+	1.70297i	−0.235019	+	0.0690079i
$610$	−13.1437	−	19.9618i	−0.532173	−	0.808228i
$611$	3.57070	−	7.81874i	0.144455	−	0.316312i
$612$	3.47985	+	2.60498i	0.140664	+	0.105300i
$613$	−0.151619	+	2.11992i	−0.00612385	+	0.0856226i	−0.999595	−	0.0284621i	$-0.990939\pi$
$613$	−0.151619	+	2.11992i	−0.00612385	+	0.0856226i	0.993471	+	0.114085i	$0.0363935\pi$
$614$	−13.3658	+	6.10395i	−0.539399	+	0.246335i
$615$	1.64552	+	1.39420i	0.0663537	+	0.0562197i
$616$	1.82396	−	12.6859i	0.0734894	−	0.511130i
$617$	−4.31442	+	0.938545i	−0.173692	+	0.0377844i	−0.298570	−	0.954388i	$-0.596510\pi$
$617$	−4.31442	+	0.938545i	−0.173692	+	0.0377844i	0.124878	+	0.992172i	$0.460146\pi$
$618$	−4.10129	+	0.293330i	−0.164978	+	0.0117995i
$619$	10.8700	+	3.19171i	0.436900	+	0.128286i	0.492784	−	0.870152i	$-0.335979\pi$
$619$	10.8700	+	3.19171i	0.436900	+	0.128286i	−0.0558834	+	0.998437i	$0.517798\pi$
$620$	5.40291	+	2.87290i	0.216986	+	0.115378i
$621$	4.77686	−	4.28175i	0.191689	−	0.171821i
$622$	−15.2573	−	15.2573i	−0.611760	−	0.611760i
$623$	−37.4306	+	20.4386i	−1.49962	+	0.818857i
$624$	−0.995975	−	0.863017i	−0.0398709	−	0.0345483i
$625$	−20.4113	+	14.4353i	−0.816452	+	0.577414i
$626$	−22.4293	−	3.22485i	−0.896455	−	0.128891i
$627$	3.77070	+	0.820265i	0.150587	+	0.0327582i
$628$	3.59488	−	9.63823i	0.143451	−	0.384607i
$629$	−6.98992	+	6.05680i	−0.278706	+	0.241500i
$630$	−9.49025	+	26.3326i	−0.378101	+	1.04911i
$631$	17.5141	+	7.99843i	0.697226	+	0.318412i	0.732309	−	0.680972i	$-0.238442\pi$
$631$	17.5141	+	7.99843i	0.697226	+	0.318412i	−0.0350836	+	0.999384i	$0.511170\pi$
$632$	5.51877	−	10.1069i	0.219525	−	0.402030i
$633$	−1.53612	+	2.81320i	−0.0610553	+	0.111815i
$634$	20.4314	+	9.33069i	0.811433	+	0.370569i
$635$	−6.30051	−	13.4009i	−0.250028	−	0.531798i
$636$	1.42411	−	1.23399i	0.0564695	−	0.0489311i
$637$	22.5578	−	60.4799i	0.893773	−	2.39630i
$638$	−18.6927	−	4.06636i	−0.740053	−	0.160989i
$639$	23.6204	+	3.39611i	0.934411	+	0.134348i
$640$	−0.606142	+	2.15235i	−0.0239599	+	0.0850789i
$641$	23.8736	+	20.6866i	0.942949	+	0.817070i	0.983277	−	0.182117i	$-0.0582948\pi$
$641$	23.8736	+	20.6866i	0.942949	+	0.817070i	−0.0403281	+	0.999186i	$0.512840\pi$
$642$	2.03465	−	1.11100i	0.0803014	−	0.0438479i
$643$	−18.8496	−	18.8496i	−0.743354	−	0.743354i	0.229868	−	0.973222i	$-0.426171\pi$
$643$	−18.8496	−	18.8496i	−0.743354	−	0.743354i	−0.973222	+	0.229868i	$0.926171\pi$
$644$	18.6540	+	8.14315i	0.735071	+	0.320885i
$645$	0.504656	−	0.949081i	0.0198708	−	0.0373700i
$646$	−8.03721	−	2.35994i	−0.316220	−	0.0928505i
$647$	−2.33035	+	0.166670i	−0.0916155	+	0.00655247i	−0.117072	−	0.993123i	$-0.537351\pi$
$647$	−2.33035	+	0.166670i	−0.0916155	+	0.00655247i	0.0254562	+	0.999676i	$0.491896\pi$
$648$	8.35228	−	1.81693i	0.328109	−	0.0713756i
$649$	−4.51206	+	31.3821i	−0.177114	+	1.23185i
$650$	−26.9230	−	11.5808i	−1.05601	−	0.454235i
$651$	−2.37528	+	1.08476i	−0.0930947	+	0.0425149i
$652$	−1.50739	+	21.0761i	−0.0590341	+	0.825405i
$653$	20.2231	+	15.1388i	0.791390	+	0.592427i	0.916647	−	0.399697i	$-0.130885\pi$
$653$	20.2231	+	15.1388i	0.791390	+	0.592427i	−0.125257	+	0.992124i	$0.539976\pi$
$654$	−0.844884	+	1.85004i	−0.0330376	+	0.0723422i
$655$	−0.115828	+	0.562410i	−0.00452578	+	0.0219752i
$656$	4.11625	−	1.20864i	0.160712	−	0.0471894i
$657$	−15.8328	+	5.90533i	−0.617697	+	0.230389i
$658$	3.72964	−	4.98221i	0.145396	−	0.194227i
$659$	12.6866	+	14.6412i	0.494201	+	0.570339i	0.946983	−	0.321283i	$-0.104114\pi$
$659$	12.6866	+	14.6412i	0.494201	+	0.570339i	−0.452782	+	0.891621i	$0.649568\pi$
$660$	1.13626	−	1.00685i	0.0442287	−	0.0391915i
$661$	−0.0335207	−	0.0521592i	−0.00130380	−	0.00202876i	0.840601	−	0.541655i	$-0.182202\pi$
$661$	−0.0335207	−	0.0521592i	−0.00130380	−	0.00202876i	−0.841905	+	0.539626i	$0.818566\pi$
$662$	0.242105	−	0.181237i	0.00940967	−	0.00704399i
$663$	−0.412855	−	1.89787i	−0.0160340	−	0.0737070i
$664$	−0.308301	+	0.355799i	−0.0119644	+	0.0138077i
$665$	−0.598146	−	53.9350i	−0.0231951	−	2.09151i
$666$			18.5097i			0.717238i
$667$	14.1100	−	26.9052i	0.546340	−	1.04177i
$668$	1.04400	−	1.04400i	0.0403936	−	0.0403936i
$669$	0.307318	−	1.04663i	0.0118816	−	0.0404650i
$670$	−3.53654	−	9.16996i	−0.136629	−	0.354266i
$671$	27.1536	+	17.4506i	1.04825	+	0.673671i
$672$	−0.571829	−	0.763874i	−0.0220588	−	0.0294671i
$673$	0.156901	−	0.721264i	0.00604810	−	0.0278027i	−0.974024	−	0.226445i	$-0.927290\pi$
$673$	0.156901	−	0.721264i	0.00604810	−	0.0278027i	0.980072	+	0.198642i	$0.0636532\pi$
$674$	7.42647	+	16.2617i	0.286057	+	0.626378i
$675$	−5.79744	+	3.33464i	−0.223144	+	0.128350i
$676$	−3.03963	−	21.1411i	−0.116909	−	0.813119i
$677$	−1.70651	−	4.57533i	−0.0655864	−	0.175844i	0.900022	−	0.435844i	$-0.143550\pi$
$677$	−1.70651	−	4.57533i	−0.0655864	−	0.175844i	−0.965609	+	0.260000i	$0.916277\pi$
$678$	−1.76007	−	0.961070i	−0.0675950	−	0.0369097i
$679$	15.4713	+	52.6906i	0.593736	+	2.02208i
$680$	−2.61611	+	2.00405i	−0.100323	+	0.0768518i
$681$	−5.17927	+	0.744666i	−0.198470	+	0.0285357i
$682$	−8.24298	−	0.589550i	−0.315640	−	0.0225750i
$683$	0.879438	+	0.328013i	0.0336508	+	0.0125511i	0.366233	−	0.930523i	$-0.380647\pi$
$683$	0.879438	+	0.328013i	0.0336508	+	0.0125511i	−0.332582	+	0.943074i	$0.607920\pi$
$684$	−14.1025	+	9.06313i	−0.539223	+	0.346537i
$685$	30.1421	−	4.67552i	1.15167	−	0.178642i
$686$	9.20630	−	14.3253i	0.351498	−	0.546942i
$687$	−0.0102023	−	0.142647i	−0.000389243	−	0.00544233i
$688$	−1.02470	−	1.87659i	−0.0390662	−	0.0715444i
$689$	49.1279			1.87162
$690$	1.06234	+	2.16437i	0.0404426	+	0.0823961i
$691$	49.9682			1.90088			0.950439	−	0.310911i	$-0.100634\pi$
$691$	49.9682			1.90088			0.950439	+	0.310911i	$0.100634\pi$
$692$	7.45550	+	13.6537i	0.283415	+	0.519037i
$693$	−2.69671	−	37.7049i	−0.102440	−	1.43229i
$694$	10.1674	−	15.8208i	0.385951	−	0.600551i
$695$	18.2442	−	24.9433i	0.692043	−	0.946153i
$696$	−1.19816	+	0.770008i	−0.0454160	+	0.0291871i
$697$	5.92395	+	2.20952i	0.224386	+	0.0836915i
$698$	−34.6313	−	2.47688i	−1.31081	−	0.0937511i
$699$	−4.00310	+	0.575559i	−0.151411	+	0.0217696i
$700$	−17.2657	−	12.3371i	−0.652582	−	0.466297i
$701$	−5.75276	−	19.5921i	−0.217279	−	0.739983i	−0.993926	−	0.110048i	$-0.964900\pi$
$701$	−5.75276	−	19.5921i	−0.217279	−	0.739983i	0.776648	−	0.629935i	$-0.216919\pi$
$702$	−6.88150	−	3.75758i	−0.259725	−	0.141821i
$703$	−12.4649	−	33.4198i	−0.470124	−	1.26045i
$704$	−0.429764	−	2.98908i	−0.0161974	−	0.112655i
$705$	0.718582	−	0.164684i	0.0270634	−	0.00620237i
$706$	2.51319	+	5.50312i	0.0945852	+	0.207113i
$707$	−1.56554	+	7.19668i	−0.0588782	+	0.270659i
$708$	1.41457	+	1.88965i	0.0531630	+	0.0710174i
$709$	−42.0369	−	27.0155i	−1.57873	−	1.01459i	−0.976301	−	0.216415i	$-0.930564\pi$
$709$	−42.0369	−	27.0155i	−1.57873	−	1.01459i	−0.602428	−	0.798173i	$-0.705800\pi$
$710$	−7.33253	+	16.5390i	−0.275185	+	0.620696i
$711$	9.56884	−	32.5885i	0.358860	−	1.22216i
$712$	−7.10545	+	7.10545i	−0.266288	+	0.266288i
$713$	4.37928	−	12.3721i	0.164005	−	0.463339i
$714$		−	1.40628i		−	0.0526288i
$715$	39.5782	−	0.438926i	1.48014	−	0.0164149i
$716$	−10.1048	+	11.6616i	−0.377635	+	0.435814i
$717$	−0.403947	−	1.85691i	−0.0150857	−	0.0693478i
$718$	−2.89505	+	2.16720i	−0.108042	+	0.0808793i
$719$	−23.0848	−	35.9207i	−0.860918	−	1.33961i	−0.939444	−	0.342703i	$-0.888658\pi$
$719$	−23.0848	−	35.9207i	−0.860918	−	1.33961i	0.0785258	−	0.996912i	$-0.474979\pi$
$720$	−0.397515	+	6.58318i	−0.0148145	+	0.245341i
$721$	−50.8287	−	58.6594i	−1.89296	−	2.18459i
$722$	7.97279	−	10.6504i	0.296716	−	0.396367i
$723$	2.95809	−	1.10331i	0.110013	−	0.0410326i
$724$	10.6655	−	3.13167i	0.396380	−	0.116388i
$725$	−20.2061	+	24.3917i	−0.750435	+	0.905886i
$726$	0.175654	−	0.384630i	0.00651915	−	0.0142749i
$727$	1.97018	+	1.47486i	0.0730699	+	0.0546994i	0.635188	−	0.772357i	$-0.280923\pi$
$727$	1.97018	+	1.47486i	0.0730699	+	0.0546994i	−0.562118	+	0.827057i	$0.690013\pi$
$728$	1.77472	−	24.8138i	0.0657755	−	0.919661i
$729$	22.1119	−	10.0982i	0.818958	−	0.374006i
$730$	−1.05558	−	12.7675i	−0.0390688	−	0.472547i
$731$	0.448455	−	3.11908i	0.0165867	−	0.115363i
$732$	2.34819	−	0.510818i	0.0867916	−	0.0188804i
$733$	0.131669	−	0.00941717i	0.00486331	−	0.000347831i	−0.0689073	−	0.997623i	$-0.521951\pi$
$733$	0.131669	−	0.00941717i	0.00486331	−	0.000347831i	0.0737706	+	0.997275i	$0.476497\pi$
$734$	−18.1960	−	5.34282i	−0.671626	−	0.197207i
$735$	5.29437	−	1.61855i	0.195286	−	0.0597013i
$736$	4.75781	+	0.602687i	0.175375	+	0.0222153i
$737$	9.38552	+	9.38552i	0.345720	+	0.345720i
$738$	11.1055	−	6.06404i	0.408798	−	0.223220i
$739$	−13.4447	−	11.6499i	−0.494570	−	0.428547i	0.371528	−	0.928422i	$-0.378834\pi$
$739$	−13.4447	−	11.6499i	−0.494570	−	0.428547i	−0.866098	+	0.499875i	$0.833379\pi$
$740$	−13.5074	−	3.80394i	−0.496541	−	0.139836i
$741$	7.41405	+	1.06598i	0.272362	+	0.0391597i
$742$	34.7580	+	7.56115i	1.27601	+	0.277579i
$743$	8.77249	−	23.5200i	0.321831	−	0.862863i	−0.670794	−	0.741643i	$-0.734047\pi$
$743$	8.77249	−	23.5200i	0.321831	−	0.862863i	0.992626	−	0.121220i	$-0.0386806\pi$
$744$	−0.464990	+	0.402916i	−0.0170473	+	0.0147716i
$745$	−31.0350	−	11.1850i	−1.13704	−	0.409787i
$746$	−23.4335	−	10.7017i	−0.857962	−	0.391818i
$747$	−0.665470	+	1.21872i	−0.0243483	+	0.0445906i
$748$	2.13293	−	3.90617i	0.0779877	−	0.142824i
$749$	39.8063	+	18.1789i	1.45449	+	0.664243i
$750$	−0.615725	−	2.43709i	−0.0224831	−	0.0889901i
$751$	−29.3836	+	25.4611i	−1.07222	+	0.929087i	−0.997676	−	0.0681302i	$-0.978297\pi$
$751$	−29.3836	+	25.4611i	−1.07222	+	0.929087i	−0.0745474	+	0.997217i	$0.523751\pi$
$752$	0.512456	−	1.37395i	0.0186873	−	0.0501027i
$753$	0.506431	+	0.110167i	0.0184554	+	0.00401472i
$754$	−36.7542	−	5.28445i	−1.33851	−	0.192448i
$755$	23.8253	−	13.3547i	0.867090	−	0.486026i
$756$	−4.29035	−	3.71761i	−0.156038	−	0.135208i
$757$	−10.3839	+	5.67003i	−0.377409	+	0.206081i	−0.656745	−	0.754112i	$-0.728067\pi$
$757$	−10.3839	+	5.67003i	−0.377409	+	0.206081i	0.279336	+	0.960193i	$0.409886\pi$
$758$	10.6382	+	10.6382i	0.386397	+	0.386397i
$759$	−2.49626	−	2.09066i	−0.0906086	−	0.0758861i
$760$	−3.71556	−	12.1538i	−0.134778	−	0.440864i
$761$	−6.63294	−	1.94761i	−0.240444	−	0.0706007i	0.159290	−	0.987232i	$-0.449079\pi$
$761$	−6.63294	−	1.94761i	−0.240444	−	0.0706007i	−0.399734	+	0.916631i	$0.630898\pi$
$762$	1.48512	−	0.106218i	0.0538001	−	0.00384786i
$763$	−37.5151	+	8.16090i	−1.35814	+	0.295445i
$764$	−0.0678491	+	0.471901i	−0.00245469	+	0.0170728i
$765$	−6.28332	+	7.41594i	−0.227174	+	0.268124i
$766$	10.7061	−	4.88932i	0.386828	−	0.176658i
$767$	−4.39025	+	61.3838i	−0.158523	+	2.21644i
$768$	−0.179985	−	0.134735i	−0.00649466	−	0.00486184i
$769$	0.758068	−	1.65994i	0.0273366	−	0.0598588i	−0.895471	−	0.445120i	$-0.853161\pi$
$769$	0.758068	−	1.65994i	0.0273366	−	0.0598588i	0.922808	+	0.385261i	$0.125888\pi$
$770$	28.0692	+	5.78084i	1.01154	+	0.208327i
$771$	−3.40774	+	1.00060i	−0.122727	+	0.0360358i
$772$	−16.8787	+	6.29542i	−0.607477	+	0.226577i
$773$	−27.5155	+	36.7564i	−0.989664	+	1.32204i	−0.0432551	+	0.999064i	$0.513773\pi$
$773$	−27.5155	+	36.7564i	−0.989664	+	1.32204i	−0.946409	+	0.322972i	$0.895318\pi$
$774$	−4.12975	−	4.76599i	−0.148441	−	0.171310i
$775$	−7.14050	+	11.6721i	−0.256494	+	0.419275i
$776$	6.99545	+	10.8851i	0.251122	+	0.390753i
$777$	4.79381	−	3.58860i	0.171977	−	0.128740i
$778$	−4.82171	−	22.1650i	−0.172867	−	0.794655i
$779$	−15.9675	+	18.4275i	−0.572095	+	0.660233i
$780$	2.06049	−	2.10670i	0.0737774	−	0.0754321i
$781$		−	24.4326i		−	0.874268i
$782$	5.08110	+	4.91321i	0.181700	+	0.175696i
$783$	−5.99167	+	5.99167i	−0.214125	+	0.214125i
$784$	3.10252	−	10.5662i	0.110804	−	0.377365i
$785$	21.0281	+	9.32277i	0.750524	+	0.332744i
$786$	−0.0485701	−	0.0312141i	−0.00173244	−	0.00111337i
$787$	14.8378	+	19.8210i	0.528912	+	0.706544i	0.982833	−	0.184498i	$-0.0590660\pi$
$787$	14.8378	+	19.8210i	0.528912	+	0.706544i	−0.453921	+	0.891042i	$0.649975\pi$
$788$	−0.888693	+	4.08525i	−0.0316584	+	0.145531i
$789$	−1.15749	−	2.53454i	−0.0412076	−	0.0902320i
$790$	21.8148	+	13.6801i	0.776134	+	0.486715i
$791$	−5.38735	−	37.4698i	−0.191552	−	1.33227i
$792$	−3.11261	−	8.34522i	−0.110602	−	0.296535i
$793$	54.9886	+	30.0261i	1.95270	+	1.06626i
$794$	6.00160	+	20.4396i	0.212989	+	0.725374i
$795$	2.56234	+	3.34492i	0.0908770	+	0.118632i
$796$	13.1260	−	1.88723i	0.465238	−	0.0668912i
$797$	−13.5655	−	0.970221i	−0.480513	−	0.0343670i	−0.171018	−	0.985268i	$-0.554706\pi$
$797$	−13.5655	−	0.970221i	−0.480513	−	0.0343670i	−0.309495	+	0.950901i	$0.600160\pi$
$798$	5.08139	+	1.89526i	0.179879	+	0.0670914i
$799$	1.81809	−	1.16842i	0.0643195	−	0.0413356i
$800$	−4.72235	−	1.64300i	−0.166960	−	0.0580886i
$801$	−16.0235	+	24.9330i	−0.566162	+	0.880965i
$802$	0.647285	+	9.05022i	0.0228564	+	0.319575i
$803$	8.29167	+	15.1851i	0.292607	+	0.535869i
$804$	0.988204			0.0348513
$805$	−20.6896	+	40.5383i	−0.729214	+	1.42879i
$806$	−16.0409			−0.565017
$807$	−1.34166	−	2.45706i	−0.0472285	−	0.0864926i
$808$	0.123799	+	1.73093i	0.00435522	+	0.0608939i
$809$	25.5823	−	39.8068i	0.899426	−	1.39953i	−0.0172276	−	0.999852i	$-0.505484\pi$
$809$	25.5823	−	39.8068i	0.899426	−	1.39953i	0.916654	−	0.399683i	$-0.130880\pi$
$810$	2.92970	+	18.8872i	0.102939	+	0.663628i
$811$	−6.61161	+	4.24903i	−0.232165	+	0.149203i	−0.651552	−	0.758604i	$-0.725882\pi$
$811$	−6.61161	+	4.24903i	−0.232165	+	0.149203i	0.419386	+	0.907808i	$0.362245\pi$
$812$	−25.1903	−	9.39550i	−0.884007	−	0.329717i
$813$	1.32215	+	0.0945623i	0.0463700	+	0.00331645i
$814$	18.7584	−	2.69705i	0.657482	−	0.0945317i
$815$	−46.8388	−	6.20506i	−1.64069	−	0.217354i
$816$	−0.0933524	−	0.317929i	−0.00326799	−	0.0111297i
$817$	10.6659	+	5.82403i	0.373153	+	0.203757i
$818$	8.03291	+	21.5371i	0.280864	+	0.753026i
$819$	−10.4422	−	72.6272i	−0.364881	−	2.53780i
$820$	2.14292	+	9.35037i	0.0748339	+	0.326529i
$821$	19.0072	+	41.6200i	0.663357	+	1.45255i	0.879361	+	0.476156i	$0.157970\pi$
$821$	19.0072	+	41.6200i	0.663357	+	1.45255i	−0.216004	+	0.976392i	$0.569303\pi$
$822$	−0.651925	+	2.99685i	−0.0227385	+	0.104527i
$823$	17.7508	+	23.7122i	0.618753	+	0.826557i	0.994991	−	0.0999663i	$-0.0318735\pi$
$823$	17.7508	+	23.7122i	0.618753	+	0.826557i	−0.376238	+	0.926523i	$0.622783\pi$
$824$	−15.3852	−	9.88745i	−0.535968	−	0.344446i
$825$	2.09415	+	2.67183i	0.0729089	+	0.0930210i
$826$	−12.5535	+	42.7534i	−0.436793	+	1.48758i
$827$	−10.6633	+	10.6633i	−0.370799	+	0.370799i	−0.867768	−	0.496969i	$-0.834446\pi$
$827$	−10.6633	+	10.6633i	−0.370799	+	0.370799i	0.496969	+	0.867768i	$0.334446\pi$
$828$	14.0901	−	1.24594i	0.489665	−	0.0432995i
$829$			46.7260i			1.62286i	0.584448	+	0.811431i	$0.301311\pi$
$829$			46.7260i			1.62286i	−0.584448	+	0.811431i	$0.698689\pi$
$830$	−0.752592	−	0.736082i	−0.0261228	−	0.0255498i
$831$	0.908119	−	1.04803i	0.0315023	−	0.0363556i
$832$	−1.24598	−	5.72765i	−0.0431964	−	0.198571i
$833$	12.9926	−	9.72615i	0.450167	−	0.336991i
$834$	1.67990	+	2.61397i	0.0581702	+	0.0905145i
$835$	2.18951	+	2.47092i	0.0757710	+	0.0855097i
$836$	11.2398	+	12.9714i	0.388736	+	0.448625i
$837$	−2.19367	+	2.93039i	−0.0758242	+	0.101289i
$838$	−6.57523	+	2.45243i	−0.227137	+	0.0847179i
$839$	39.6610	−	11.6455i	1.36925	−	0.402048i	0.487235	−	0.873271i	$-0.338005\pi$
$839$	39.6610	−	11.6455i	1.36925	−	0.402048i	0.882014	+	0.471223i	$0.156187\pi$
$840$	1.78204	−	1.17337i	0.0614861	−	0.0404852i
$841$	−4.62343	+	10.1239i	−0.159429	+	0.349100i
$842$	3.65021	+	2.73251i	0.125794	+	0.0941685i
$843$	0.450336	−	6.29651i	0.0155104	−	0.216863i
$844$	−12.9681	+	5.92234i	−0.446381	+	0.203855i
$845$	47.5966	−	3.93515i	1.63737	−	0.135373i
$846$	0.615524	−	4.28107i	0.0211622	−	0.147186i
$847$	7.79952	−	1.69668i	0.267995	−	0.0582987i
$848$	8.35994	−	0.597915i	0.287081	−	0.0205325i
$849$	−0.804405	−	0.236195i	−0.0276071	−	0.00810618i
$850$	−4.12045	−	6.10927i	−0.141330	−	0.209546i
$851$	−3.78226	+	29.8584i	−0.129654	+	1.02353i
$852$	−1.28626	−	1.28626i	−0.0440665	−	0.0440665i
$853$	−49.7540	+	27.1677i	−1.70355	+	0.930206i	−0.736192	+	0.676772i	$0.763378\pi$
$853$	−49.7540	+	27.1677i	−1.70355	+	0.930206i	−0.967353	+	0.253434i	$0.918440\pi$
$854$	34.2833	+	29.7066i	1.17315	+	1.01654i
$855$	−18.3283	−	32.6983i	−0.626813	−	1.11826i
$856$	10.2061	+	1.46741i	0.348836	+	0.0501550i
$857$	−7.39440	−	1.60855i	−0.252588	−	0.0549471i	0.0844884	−	0.996424i	$-0.473074\pi$
$857$	−7.39440	−	1.60855i	−0.252588	−	0.0549471i	−0.337076	+	0.941477i	$0.609438\pi$
$858$	−1.39076	+	3.72878i	−0.0474799	+	0.127299i
$859$	1.48111	−	1.28339i	0.0505349	−	0.0437887i	−0.629227	−	0.777221i	$-0.716628\pi$
$859$	1.48111	−	1.28339i	0.0505349	−	0.0437887i	0.679762	+	0.733433i	$0.262083\pi$
$860$	4.32666	−	2.03421i	0.147538	−	0.0693658i
$861$	−3.72360	−	1.70051i	−0.126900	−	0.0579533i
$862$	−6.52236	+	11.9448i	−0.222152	+	0.406842i
$863$	−3.33625	+	6.10989i	−0.113567	+	0.207983i	−0.928280	−	0.371881i	$-0.878713\pi$
$863$	−3.33625	+	6.10989i	−0.113567	+	0.207983i	0.814713	+	0.579865i	$0.196895\pi$
$864$	−1.21674	−	0.555664i	−0.0413942	−	0.0189041i
$865$	−31.4800	+	14.8005i	−1.07035	+	0.503232i
$866$	−7.32439	+	6.34662i	−0.248893	+	0.215667i
$867$	−1.16503	+	3.12357i	−0.0395665	+	0.106082i
$868$	−11.3490	−	2.46882i	−0.385209	−	0.0837971i
$869$	−34.4206	−	4.94893i	−1.16764	−	0.167881i
$870$	−1.55718	−	2.77806i	−0.0527932	−	0.0941852i
$871$	19.4710	+	16.8717i	0.659749	+	0.571676i
$872$	−7.93957	+	4.33534i	−0.268868	+	0.146813i
$873$	26.9857	+	26.9857i	0.913326	+	0.913326i
$874$	−24.6009	+	11.7382i	−0.832139	+	0.397051i
$875$	29.8634	−	36.8743i	1.00957	−	1.24658i
$876$	1.23593	+	0.362903i	0.0417584	+	0.0122614i
$877$	−52.7657	+	3.77388i	−1.78177	+	0.127435i	−0.922969	−	0.384873i	$-0.874245\pi$
$877$	−52.7657	+	3.77388i	−1.78177	+	0.127435i	−0.858802	+	0.512308i	$0.828791\pi$
$878$	17.4412	−	3.79410i	0.588612	−	0.128045i
$879$	0.437494	−	3.04284i	0.0147563	−	0.102632i
$880$	6.72955	−	0.556380i	0.226853	−	0.0187556i
$881$	40.6738	−	18.5751i	1.37034	−	0.625811i	0.411929	−	0.911216i	$-0.364855\pi$
$881$	40.6738	−	18.5751i	1.37034	−	0.625811i	0.958407	+	0.285405i	$0.0921281\pi$
$882$	2.31711	−	32.3975i	0.0780212	−	1.09088i
$883$	−20.1204	−	15.0619i	−0.677105	−	0.506874i	0.204498	−	0.978867i	$-0.434444\pi$
$883$	−20.1204	−	15.0619i	−0.677105	−	0.506874i	−0.881602	+	0.471993i	$0.843535\pi$
$884$	3.58868	−	7.85811i	0.120700	−	0.264297i
$885$	−4.40836	+	2.90266i	−0.148185	+	0.0975717i
$886$	17.8594	−	5.24399i	0.599998	−	0.176175i
$887$	−1.79174	+	0.668283i	−0.0601606	+	0.0224387i	−0.379364	−	0.925247i	$-0.623857\pi$
$887$	−1.79174	+	0.668283i	−0.0601606	+	0.0224387i	0.319204	+	0.947686i	$0.396585\pi$
$888$	0.845552	−	1.12953i	0.0283749	−	0.0379044i
$889$	18.4055	+	21.2411i	0.617302	+	0.712404i
$890$	−14.9017	−	16.8170i	−0.499507	−	0.563708i
$891$	−13.9551	−	21.7146i	−0.467515	−	0.727468i
$892$	3.88401	−	2.90754i	0.130046	−	0.0973515i
$893$	1.77164	+	8.14408i	0.0592855	+	0.272531i
$894$	2.17214	−	2.50678i	0.0726471	−	0.0838392i
$895$	−24.6668	−	24.1257i	−0.824520	−	0.806433i
$896$		−	4.24409i		−	0.141785i
$897$	−5.12253	−	3.70207i	−0.171036	−	0.123608i
$898$	−18.9812	+	18.9812i	−0.633410	+	0.633410i
$899$	−4.88407	+	16.6336i	−0.162893	+	0.554762i
$900$	−14.6401	−	1.77451i	−0.488004	−	0.0591503i
$901$	10.3914	+	6.67813i	0.346187	+	0.222481i
$902$	−7.76369	−	10.3711i	−0.258503	−	0.345319i
$903$	−0.433675	+	1.99357i	−0.0144318	+	0.0663419i
$904$	−3.70529	−	8.11346i	−0.123236	−	0.269850i
$905$	5.55245	+	24.2275i	0.184570	+	0.805349i
$906$	0.390827	+	2.71826i	0.0129844	+	0.0903083i
$907$	3.62408	+	9.71653i	0.120336	+	0.322632i	0.983126	−	0.182930i	$-0.0585580\pi$
$907$	3.62408	+	9.71653i	0.120336	+	0.322632i	−0.862790	+	0.505562i	$0.831285\pi$
$908$	−20.4265	−	11.1537i	−0.677877	−	0.370149i
$909$	1.44200	+	4.91101i	0.0478282	+	0.162888i
$910$	55.1453	+	7.30548i	1.82805	+	0.242174i
$911$	16.5997	−	2.38667i	0.549972	−	0.0790740i	0.138273	−	0.990394i	$-0.455845\pi$
$911$	16.5997	−	2.38667i	0.549972	−	0.0790740i	0.411698	+	0.911320i	$0.364936\pi$
$912$	1.27460	+	0.0911611i	0.0422062	+	0.00301865i
$913$	1.33206	+	0.496832i	0.0440847	+	0.0164427i
$914$	−10.5799	+	6.79932i	−0.349954	+	0.224901i
$915$	0.823667	+	5.31001i	0.0272296	+	0.175544i
$916$	0.343896	−	0.535112i	0.0113626	−	0.0176806i
$917$	−0.0777501	−	1.08709i	−0.00256753	−	0.0358988i
$918$	−0.944771	−	1.73022i	−0.0311821	−	0.0571058i
$919$	25.5261			0.842030			0.421015	−	0.907054i	$-0.361674\pi$
$919$	25.5261			0.842030			0.421015	+	0.907054i	$0.361674\pi$
$920$	−1.98644	+	10.5382i	−0.0654909	+	0.347435i
$921$	3.30356			0.108856
$922$	8.58393	+	15.7203i	0.282697	+	0.517720i
$923$	−3.38326	−	47.3041i	−0.111361	−	1.55703i
$924$	−1.55785	+	2.42407i	−0.0512497	+	0.0797460i
$925$	10.3109	−	29.6358i	0.339019	−	0.974420i
$926$	−7.53901	+	4.84503i	−0.247747	+	0.159218i
$927$	−50.5397	−	18.8504i	−1.65994	−	0.619127i
$928$	−6.31866	−	0.451919i	−0.207420	−	0.0148350i
$929$	−39.8653	+	5.73177i	−1.30794	+	0.188053i	−0.760799	−	0.648988i	$-0.775193\pi$
$929$	−39.8653	+	5.73177i	−1.30794	+	0.188053i	−0.547140	+	0.837041i	$0.684283\pi$
$930$	−0.836640	−	1.09216i	−0.0274345	−	0.0358134i
$931$	17.6337	+	60.0548i	0.577920	+	1.96822i
$932$	−15.7878	−	8.62079i	−0.517147	−	0.282383i
$933$	1.69530	+	4.54529i	0.0555018	+	0.148806i
$934$	−5.62993	−	39.1570i	−0.184217	−	1.28126i
$935$	8.43112	+	5.28716i	0.275727	+	0.172909i
$936$	−7.18192	−	15.7262i	−0.234748	−	0.514027i
$937$	−3.91494	+	17.9967i	−0.127896	+	0.587926i	0.867933	+	0.496681i	$0.165448\pi$
$937$	−3.91494	+	17.9967i	−0.127896	+	0.587926i	−0.995828	+	0.0912449i	$0.970915\pi$
$938$	11.1791	+	14.9335i	0.365009	+	0.487596i
$939$	4.28587	+	2.75436i	0.139864	+	0.0898852i
$940$	2.99759	+	1.32898i	0.0977705	+	0.0433465i
$941$	−4.06915	+	13.8582i	−0.132650	+	0.451766i	−0.998851	−	0.0479313i	$-0.984737\pi$
$941$	−4.06915	+	13.8582i	−0.132650	+	0.451766i	0.866200	+	0.499697i	$0.166555\pi$
$942$	−1.63538	+	1.63538i	−0.0532837	+	0.0532837i
$943$	19.1535	−	7.51273i	0.623725	−	0.244648i
$944$			10.4989i			0.341711i
$945$	8.87595	−	9.07503i	0.288735	−	0.295211i
$946$	−4.22828	+	4.87969i	−0.137473	+	0.158652i
$947$	3.77450	+	17.3511i	0.122655	+	0.563835i	0.996923	+	0.0783913i	$0.0249784\pi$
$947$	3.77450	+	17.3511i	0.122655	+	0.563835i	−0.874268	+	0.485444i	$0.838658\pi$
$948$	−2.07261	+	1.55154i	−0.0673153	+	0.0503916i
$949$	18.1563	+	28.2517i	0.589377	+	0.917088i
$950$	27.6281	−	6.65510i	0.896373	−	0.215920i
$951$	−3.30700	−	3.81648i	−0.107237	−	0.123758i
$952$	3.74842	−	5.00730i	0.121487	−	0.162287i
$953$	−34.3479	+	12.8111i	−1.11264	+	0.414993i	−0.837514	−	0.546416i	$-0.815992\pi$
$953$	−34.3479	+	12.8111i	−1.11264	+	0.414993i	−0.275124	+	0.961409i	$0.588719\pi$
$954$	23.7189	−	6.96449i	0.767927	−	0.225484i
$955$	−1.04414	−	0.215040i	−0.0337875	−	0.00695853i
$956$	3.51124	−	7.68855i	0.113562	−	0.248666i
$957$	3.44310	+	2.57748i	0.111300	+	0.0833180i
$958$	−1.68149	+	23.5103i	−0.0543265	+	0.759584i
$959$	−52.6625	+	24.0502i	−1.70056	+	0.776621i
$960$	0.324987	−	0.383569i	0.0104889	−	0.0123796i
$961$	3.34596	−	23.2717i	0.107934	−	0.750700i
$962$	35.9448	−	7.81931i	1.15891	−	0.252105i
$963$	30.3343	−	2.16956i	0.977511	−	0.0699129i
$964$	13.4736	+	3.95621i	0.433956	+	0.127421i
$965$	−11.7766	−	38.5217i	−0.379101	−	1.24006i
$966$	−3.05442	−	3.40761i	−0.0982743	−	0.109638i
$967$	−28.9418	−	28.9418i	−0.930706	−	0.930706i	0.0670441	−	0.997750i	$-0.478643\pi$
$967$	−28.9418	−	28.9418i	−0.930706	−	0.930706i	−0.997750	+	0.0670441i	$0.978643\pi$
$968$	1.65067	−	0.901332i	0.0530544	−	0.0289699i
$969$	1.42329	+	1.23329i	0.0457228	+	0.0396190i
$970$	−25.2384	+	14.1468i	−0.810358	+	0.454226i
$971$	21.2763	+	3.05907i	0.682789	+	0.0981703i	0.474977	−	0.879998i	$-0.342457\pi$
$971$	21.2763	+	3.05907i	0.682789	+	0.0981703i	0.207813	+	0.978169i	$0.433366\pi$
$972$	−5.79897	−	1.26149i	−0.186002	−	0.0404623i
$973$	−20.4978	+	54.9568i	−0.657131	+	1.76184i
$974$	13.9678	−	12.1032i	0.447559	−	0.387812i
$975$	4.42446	+	4.88295i	0.141696	+	0.156380i
$976$	9.72268	+	4.44020i	0.311215	+	0.142127i
$977$	2.09656	−	3.83956i	0.0670749	−	0.122838i	−0.841990	−	0.539493i	$-0.818616\pi$
$977$	2.09656	−	3.83956i	0.0670749	−	0.122838i	0.909065	+	0.416655i	$0.136798\pi$
$978$	2.27674	−	4.16954i	0.0728021	−	0.133327i
$979$	27.6028	+	12.6058i	0.882188	+	0.402882i
$980$	23.1657	+	8.34890i	0.740000	+	0.266696i
$981$	−20.1642	+	17.4724i	−0.643793	+	0.557850i
$982$	−8.24130	+	22.0958i	−0.262991	+	0.705105i
$983$	49.7752	+	10.8279i	1.58758	+	0.345358i	0.917752	−	0.397155i	$-0.130002\pi$
$983$	49.7752	+	10.8279i	1.58758	+	0.345358i	0.669832	+	0.742513i	$0.266366\pi$
$984$	−0.954707	−	0.137266i	−0.0304349	−	0.00437588i
$985$	−8.99853	−	2.53416i	−0.286717	−	0.0807450i
$986$	−7.05579	−	6.11388i	−0.224702	−	0.194706i
$987$	−1.22808	+	0.670584i	−0.0390903	+	0.0213449i
$988$	23.5575	+	23.5575i	0.749466	+	0.749466i
$989$	−5.68790	−	8.53197i	−0.180865	−	0.271301i
$990$	19.0461	−	5.82261i	0.605324	−	0.185055i
$991$	−49.3161	−	14.4805i	−1.56658	−	0.459989i	−0.620576	−	0.784146i	$-0.713101\pi$
$991$	−49.3161	−	14.4805i	−1.56658	−	0.459989i	−0.946003	+	0.324157i	$0.894919\pi$
$992$	−2.72963	+	0.195227i	−0.0866659	+	0.00619847i
$993$	−0.0664405	+	0.0144532i	−0.00210843	+	0.000458660i
$994$	4.88680	−	33.9884i	0.155000	−	1.07805i
$995$	2.44324	+	29.5516i	0.0774559	+	0.936848i
$996$	0.0962820	−	0.0439705i	0.00305081	−	0.00139326i
$997$	0.585079	−	8.18047i	0.0185296	−	0.259078i	−0.979740	−	0.200274i	$-0.935817\pi$
$997$	0.585079	−	8.18047i	0.0185296	−	0.259078i	0.998270	−	0.0588041i	$-0.0187287\pi$
$998$	−20.0995	−	15.0463i	−0.636239	−	0.476282i
$999$	3.48716	−	7.63581i	0.110329	−	0.241586i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.l.a.97.4	yes	240
5.3	odd	4	inner	230.2.l.a.143.3	yes	240
23.14	odd	22	inner	230.2.l.a.37.3	✓	240
115.83	even	44	inner	230.2.l.a.83.4	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.l.a.37.3	✓	240	23.14	odd	22	inner
230.2.l.a.83.4	yes	240	115.83	even	44	inner
230.2.l.a.97.4	yes	240	1.1	even	1	trivial
230.2.l.a.143.3	yes	240	5.3	odd	4	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:	\( N \)	\(=\)	\( 230 = 2 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	230.l (of order \(44\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.479249 - 0.877679i) q^{2} +(0.0160392 + 0.224257i) q^{3} +(-0.540641 + 0.841254i) q^{4} +(-1.80481 - 1.32009i) q^{5} +(0.189139 - 0.121552i) q^{6} +(3.97650 + 1.48316i) q^{7} +(0.997452 + 0.0713392i) q^{8} +(2.91943 - 0.419751i) q^{9} +O(q^{10})\)	\(q+(-0.479249 - 0.877679i) q^{2} +(0.0160392 + 0.224257i) q^{3} +(-0.540641 + 0.841254i) q^{4} +(-1.80481 - 1.32009i) q^{5} +(0.189139 - 0.121552i) q^{6} +(3.97650 + 1.48316i) q^{7} +(0.997452 + 0.0713392i) q^{8} +(2.91943 - 0.419751i) q^{9} +(-0.293662 + 2.21670i) q^{10} +(-0.850780 - 2.89749i) q^{11} +(-0.197328 - 0.107749i) q^{12} +(-2.04842 - 5.49203i) q^{13} +(-0.603997 - 4.20089i) q^{14} +(0.267092 - 0.425915i) q^{15} +(-0.415415 - 0.909632i) q^{16} +(0.313276 - 1.44011i) q^{17} +(-1.76754 - 2.36116i) q^{18} +(4.78140 + 3.07282i) q^{19} +(2.08629 - 0.804611i) q^{20} +(-0.268828 + 0.915545i) q^{21} +(-2.13533 + 2.13533i) q^{22} +(-2.36877 - 4.17000i) q^{23} +0.224830i q^{24} +(1.51471 + 4.76504i) q^{25} +(-3.83854 + 4.42991i) q^{26} +(0.284330 + 1.30704i) q^{27} +(-3.39757 + 2.54339i) q^{28} +(3.42485 + 5.32917i) q^{29} +(-0.501820 - 0.0303016i) q^{30} +(1.79209 + 2.06819i) q^{31} +(-0.599278 + 0.800541i) q^{32} +(0.636136 - 0.237266i) q^{33} +(-1.41409 + 0.415214i) q^{34} +(-5.21894 - 7.92617i) q^{35} +(-1.22525 + 2.68292i) q^{36} +(-5.02392 - 3.76086i) q^{37} +(0.405468 - 5.66918i) q^{38} +(1.19877 - 0.547460i) q^{39} +(-1.70604 - 1.44548i) q^{40} +(-0.610534 + 4.24636i) q^{41} +(0.932390 - 0.202829i) q^{42} +(2.13268 - 0.152532i) q^{43} +(2.89749 + 0.850780i) q^{44} +(-5.82314 - 3.09635i) q^{45} +(-2.52469 + 4.07749i) q^{46} +(1.03690 + 1.03690i) q^{47} +(0.197328 - 0.107749i) q^{48} +(8.32253 + 7.21151i) q^{49} +(3.45626 - 3.61307i) q^{50} +(0.327979 + 0.0471562i) q^{51} +(5.72765 + 1.24598i) q^{52} +(-2.92896 + 7.85285i) q^{53} +(1.01090 - 0.875950i) q^{54} +(-2.28946 + 6.35254i) q^{55} +(3.86056 + 1.76306i) q^{56} +(-0.612411 + 1.12155i) q^{57} +(3.03595 - 5.55992i) q^{58} +(-9.55015 - 4.36141i) q^{59} +(0.213902 + 0.454959i) q^{60} +(-8.07789 + 6.99953i) q^{61} +(0.956345 - 2.56406i) q^{62} +(12.2317 + 2.66084i) q^{63} +(0.989821 + 0.142315i) q^{64} +(-3.55297 + 12.6162i) q^{65} +(-0.513111 - 0.444614i) q^{66} +(-3.85770 + 2.10646i) q^{67} +(1.04213 + 1.04213i) q^{68} +(0.897158 - 0.598097i) q^{69} +(-4.45546 + 8.37916i) q^{70} +(7.76304 + 2.27943i) q^{71} +(2.94194 - 0.210411i) q^{72} +(-5.59835 + 1.21785i) q^{73} +(-0.893119 + 6.21178i) q^{74} +(-1.04430 + 0.416112i) q^{75} +(-5.17004 + 2.36108i) q^{76} +(0.914309 - 12.7837i) q^{77} +(-1.05500 - 0.789766i) q^{78} +(4.78369 - 10.4748i) q^{79} +(-0.451051 + 2.19010i) q^{80} +(8.20138 - 2.40814i) q^{81} +(4.01954 - 1.49921i) q^{82} +(-0.282133 + 0.376886i) q^{83} +(-0.624866 - 0.721134i) q^{84} +(-2.46648 + 2.18557i) q^{85} +(-1.15596 - 1.79871i) q^{86} +(-1.14017 + 0.853521i) q^{87} +(-0.641908 - 2.95080i) q^{88} +(-6.58045 + 7.59424i) q^{89} +(0.0731368 + 6.59477i) q^{90} -24.8772i q^{91} +(4.78868 + 0.261733i) q^{92} +(-0.435061 + 0.435061i) q^{93} +(0.413134 - 1.40701i) q^{94} +(-4.57314 - 11.8578i) q^{95} +(-0.189139 - 0.121552i) q^{96} +(7.75416 + 10.3583i) q^{97} +(2.34083 - 10.7606i) q^{98} +(-3.70002 - 8.10191i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 8 q^{6}+O(q^{10}) \) 240 * q - 8 * q^3 - 8 * q^6	\( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46} - 80 q^{47} + 8 q^{48} + 8 q^{50} + 16 q^{52} - 44 q^{56} - 88 q^{57} - 176 q^{61} - 32 q^{62} - 176 q^{66} + 24 q^{70} - 336 q^{71} + 16 q^{72} - 88 q^{73} - 36 q^{75} - 24 q^{77} + 40 q^{78} - 136 q^{81} + 40 q^{82} - 100 q^{85} - 44 q^{86} + 40 q^{87} + 8 q^{92} + 56 q^{93} + 52 q^{95} + 8 q^{96} + 132 q^{97} + 24 q^{98}+O(q^{100}) \) 240 * q - 8 * q^3 - 8 * q^6 - 8 * q^12 + 16 * q^13 + 24 * q^16 - 72 * q^18 - 80 * q^23 - 8 * q^26 + 16 * q^27 - 44 * q^28 + 24 * q^31 - 44 * q^33 - 8 * q^35 - 32 * q^36 - 88 * q^37 - 24 * q^41 - 8 * q^46 - 80 * q^47 + 8 * q^48 + 8 * q^50 + 16 * q^52 - 44 * q^56 - 88 * q^57 - 176 * q^61 - 32 * q^62 - 176 * q^66 + 24 * q^70 - 336 * q^71 + 16 * q^72 - 88 * q^73 - 36 * q^75 - 24 * q^77 + 40 * q^78 - 136 * q^81 + 40 * q^82 - 100 * q^85 - 44 * q^86 + 40 * q^87 + 8 * q^92 + 56 * q^93 + 52 * q^95 + 8 * q^96 + 132 * q^97 + 24 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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