LMFDB - Embedded newform 230.2.l.a.103.12

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			103.12
Character	$\chi$	$=$	230.103
Dual form			230.2.l.a.67.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.212565 - 0.977147i) q^{2} +(2.68685 - 2.01135i) q^{3} +(-0.909632 - 0.415415i) q^{4} +(-1.91382 - 1.15642i) q^{5} +(-1.39425 - 3.05299i) q^{6} +(-0.286933 + 4.01185i) q^{7} +(-0.599278 + 0.800541i) q^{8} +(2.32843 - 7.92991i) q^{9} +O(q^{10})$	\(q+(0.212565 - 0.977147i) q^{2} +(2.68685 - 2.01135i) q^{3} +(-0.909632 - 0.415415i) q^{4} +(-1.91382 - 1.15642i) q^{5} +(-1.39425 - 3.05299i) q^{6} +(-0.286933 + 4.01185i) q^{7} +(-0.599278 + 0.800541i) q^{8} +(2.32843 - 7.92991i) q^{9} +(-1.53680 + 1.62426i) q^{10} +(0.608409 - 0.946702i) q^{11} +(-3.27959 + 0.713431i) q^{12} +(1.75050 - 0.125198i) q^{13} +(3.85918 + 1.13316i) q^{14} +(-7.46810 + 0.742226i) q^{15} +(0.654861 + 0.755750i) q^{16} +(0.281948 - 0.755932i) q^{17} +(-7.25375 - 3.96085i) q^{18} +(-2.21800 + 4.85675i) q^{19} +(1.26047 + 1.84695i) q^{20} +(7.29830 + 11.3564i) q^{21} +(-0.795741 - 0.795741i) q^{22} +(4.13157 + 2.43518i) q^{23} +3.35629i q^{24} +(2.32538 + 4.42635i) q^{25} +(0.249758 - 1.73710i) q^{26} +(-6.17498 - 16.5558i) q^{27} +(1.92759 - 3.53011i) q^{28} +(-2.62114 + 1.19703i) q^{29} +(-0.862196 + 7.45520i) q^{30} +(0.498555 + 3.46753i) q^{31} +(0.877679 - 0.479249i) q^{32} +(-0.269448 - 3.76737i) q^{33} +(-0.678725 - 0.436190i) q^{34} +(5.18853 - 7.34613i) q^{35} +(-5.41222 + 6.24604i) q^{36} +(-1.15266 - 2.11094i) q^{37} +(4.27428 + 3.19969i) q^{38} +(4.45150 - 3.85725i) q^{39} +(2.07267 - 0.839071i) q^{40} +(2.27425 - 0.667780i) q^{41} +(12.6482 - 4.71754i) q^{42} +(-2.49251 - 3.32960i) q^{43} +(-0.946702 + 0.608409i) q^{44} +(-13.6265 + 12.4837i) q^{45} +(3.25776 - 3.51952i) q^{46} +(2.95054 - 2.95054i) q^{47} +(3.27959 + 0.713431i) q^{48} +(-9.08389 - 1.30607i) q^{49} +(4.81949 - 1.33135i) q^{50} +(-0.762893 - 2.59817i) q^{51} +(-1.64432 - 0.613298i) q^{52} +(-6.73006 - 0.481343i) q^{53} +(-17.4900 + 2.51468i) q^{54} +(-2.25917 + 1.10824i) q^{55} +(-3.03970 - 2.63392i) q^{56} +(3.80918 + 17.5105i) q^{57} +(0.612514 + 2.81568i) q^{58} +(2.62284 + 2.27270i) q^{59} +(7.10156 + 2.42721i) q^{60} +(11.6181 - 1.67044i) q^{61} +(3.49426 + 0.249914i) q^{62} +(31.1456 + 11.6167i) q^{63} +(-0.281733 - 0.959493i) q^{64} +(-3.49491 - 1.78470i) q^{65} +(-3.73855 - 0.537522i) q^{66} +(-1.29791 - 0.282344i) q^{67} +(-0.570495 + 0.570495i) q^{68} +(15.9989 - 1.76708i) q^{69} +(-6.07535 - 6.63149i) q^{70} +(-12.9901 + 8.34826i) q^{71} +(4.95285 + 6.61623i) q^{72} +(-6.76526 + 2.52331i) q^{73} +(-2.30772 + 0.677607i) q^{74} +(15.1509 + 7.21578i) q^{75} +(4.03513 - 3.49646i) q^{76} +(3.62346 + 2.71249i) q^{77} +(-2.82286 - 5.16969i) q^{78} +(-6.05650 + 6.98957i) q^{79} +(-0.379318 - 2.20366i) q^{80} +(-29.0326 - 18.6581i) q^{81} +(-0.169092 - 2.36422i) q^{82} +(3.94140 - 2.15217i) q^{83} +(-1.92116 - 13.3619i) q^{84} +(-1.41377 + 1.12066i) q^{85} +(-3.78333 + 1.72779i) q^{86} +(-4.63494 + 8.48827i) q^{87} +(0.393269 + 1.05439i) q^{88} +(-0.442275 + 3.07609i) q^{89} +(9.30193 + 15.9687i) q^{90} +7.05866i q^{91} +(-2.74660 - 3.93144i) q^{92} +(8.31396 + 8.31396i) q^{93} +(-2.25593 - 3.51029i) q^{94} +(9.86129 - 6.72998i) q^{95} +(1.39425 - 3.05299i) q^{96} +(-16.3357 - 8.91998i) q^{97} +(-3.20714 + 8.59867i) q^{98} +(-6.09063 - 7.02896i) 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 $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{9}{22}\right)$

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 $

$2$	0.212565	−	0.977147i	0.150306	−	0.690947i
$2$	0.212565	−	0.977147i	0.150306	−	0.690947i
$3$	2.68685	−	2.01135i	1.55125	−	1.16125i	0.627282	−	0.778792i	$-0.284167\pi$
$3$	2.68685	−	2.01135i	1.55125	−	1.16125i	0.923971	−	0.382462i	$-0.124924\pi$
$4$	−0.909632	−	0.415415i	−0.454816	−	0.207708i
$5$	−1.91382	−	1.15642i	−0.855884	−	0.517167i
$5$	−1.91382	−	1.15642i	−0.855884	−	0.517167i
$6$	−1.39425	−	3.05299i	−0.569202	−	1.24638i
$7$	−0.286933	+	4.01185i	−0.108451	+	1.51634i	0.593918	+	0.804525i	$0.297580\pi$
$7$	−0.286933	+	4.01185i	−0.108451	+	1.51634i	−0.702369	+	0.711813i	$0.747874\pi$
$8$	−0.599278	+	0.800541i	−0.211877	+	0.283034i
$9$	2.32843	−	7.92991i	0.776144	−	2.64330i
$10$	−1.53680	+	1.62426i	−0.485980	+	0.513637i
$11$	0.608409	−	0.946702i	0.183442	−	0.285442i	−0.737338	−	0.675524i	$-0.763917\pi$
$11$	0.608409	−	0.946702i	0.183442	−	0.285442i	0.920780	+	0.390083i	$0.127554\pi$
$12$	−3.27959	+	0.713431i	−0.946736	+	0.205950i
$13$	1.75050	−	0.125198i	0.485500	−	0.0347237i	0.173556	−	0.984824i	$-0.444474\pi$
$13$	1.75050	−	0.125198i	0.485500	−	0.0347237i	0.311944	+	0.950100i	$0.399020\pi$
$14$	3.85918	+	1.13316i	1.03141	+	0.302849i
$15$	−7.46810	+	0.742226i	−1.92826	+	0.191642i
$16$	0.654861	+	0.755750i	0.163715	+	0.188937i
$17$	0.281948	−	0.755932i	0.0683825	−	0.183341i	−0.898263	−	0.439458i	$-0.855171\pi$
$17$	0.281948	−	0.755932i	0.0683825	−	0.183341i	0.966646	+	0.256117i	$0.0824433\pi$
$18$	−7.25375	−	3.96085i	−1.70972	−	0.933580i
$19$	−2.21800	+	4.85675i	−0.508845	+	1.11421i	0.464648	+	0.885495i	$0.346181\pi$
$19$	−2.21800	+	4.85675i	−0.508845	+	1.11421i	−0.973493	+	0.228719i	$0.926546\pi$
$20$	1.26047	+	1.84695i	0.281850	+	0.412989i
$21$	7.29830	+	11.3564i	1.59262	+	2.47816i
$22$	−0.795741	−	0.795741i	−0.169652	−	0.169652i
$23$	4.13157	+	2.43518i	0.861493	+	0.507770i
$23$	4.13157	+	2.43518i	0.861493	+	0.507770i
$24$			3.35629i			0.685100i
$25$	2.32538	+	4.42635i	0.465076	+	0.885270i
$26$	0.249758	−	1.73710i	0.0489816	−	0.340674i
$27$	−6.17498	−	16.5558i	−1.18837	−	3.18616i
$28$	1.92759	−	3.53011i	0.364280	−	0.667129i
$29$	−2.62114	+	1.19703i	−0.486733	+	0.222283i	−0.643638	−	0.765330i	$-0.722576\pi$
$29$	−2.62114	+	1.19703i	−0.486733	+	0.222283i	0.156905	+	0.987614i	$0.449848\pi$
$30$	−0.862196	+	7.45520i	−0.157415	+	1.36113i
$31$	0.498555	+	3.46753i	0.0895432	+	0.622786i	0.984336	+	0.176304i	$0.0564142\pi$
$31$	0.498555	+	3.46753i	0.0895432	+	0.622786i	−0.894793	+	0.446482i	$0.852677\pi$
$32$	0.877679	−	0.479249i	0.155153	−	0.0847201i
$33$	−0.269448	−	3.76737i	−0.0469048	−	0.655815i
$34$	−0.678725	−	0.436190i	−0.116400	−	0.0748059i
$35$	5.18853	−	7.34613i	0.877021	−	1.24172i
$36$	−5.41222	+	6.24604i	−0.902037	+	1.04101i
$37$	−1.15266	−	2.11094i	−0.189496	−	0.347037i	0.765607	−	0.643308i	$-0.222439\pi$
$37$	−1.15266	−	2.11094i	−0.189496	−	0.347037i	−0.955104	+	0.296271i	$0.904257\pi$
$38$	4.27428	+	3.19969i	0.693381	+	0.519058i
$39$	4.45150	−	3.85725i	0.712811	−	0.617654i
$40$	2.07267	−	0.839071i	0.327718	−	0.132669i
$41$	2.27425	−	0.667780i	0.355178	−	0.104290i	−0.0992759	−	0.995060i	$-0.531653\pi$
$41$	2.27425	−	0.667780i	0.355178	−	0.104290i	0.454454	+	0.890770i	$0.349834\pi$
$42$	12.6482	−	4.71754i	1.95166	−	0.727932i
$43$	−2.49251	−	3.32960i	−0.380104	−	0.507759i	0.569166	−	0.822223i	$-0.307266\pi$
$43$	−2.49251	−	3.32960i	−0.380104	−	0.507759i	−0.949269	+	0.314464i	$0.898175\pi$
$44$	−0.946702	+	0.608409i	−0.142721	+	0.0917211i
$45$	−13.6265	+	12.4837i	−2.03132	+	1.86097i
$46$	3.25776	−	3.51952i	0.480330	−	0.518925i
$47$	2.95054	−	2.95054i	0.430380	−	0.430380i	−0.458377	−	0.888758i	$-0.651569\pi$
$47$	2.95054	−	2.95054i	0.430380	−	0.430380i	0.888758	+	0.458377i	$0.151569\pi$
$48$	3.27959	+	0.713431i	0.473368	+	0.102975i
$49$	−9.08389	−	1.30607i	−1.29770	−	0.186581i
$50$	4.81949	−	1.33135i	0.681579	−	0.188282i
$51$	−0.762893	−	2.59817i	−0.106826	−	0.363817i
$52$	−1.64432	−	0.613298i	−0.228026	−	0.0850492i
$53$	−6.73006	−	0.481343i	−0.924445	−	0.0661176i	−0.399005	−	0.916949i	$-0.630644\pi$
$53$	−6.73006	−	0.481343i	−0.924445	−	0.0661176i	−0.525439	+	0.850831i	$0.676099\pi$
$54$	−17.4900	+	2.51468i	−2.38009	+	0.342205i
$55$	−2.25917	+	1.10824i	−0.304626	+	0.149435i
$56$	−3.03970	−	2.63392i	−0.406197	−	0.351972i
$57$	3.80918	+	17.5105i	0.504539	+	2.31933i
$58$	0.612514	+	2.81568i	0.0804270	+	0.369717i
$59$	2.62284	+	2.27270i	0.341465	+	0.295881i	0.808664	−	0.588271i	$-0.200191\pi$
$59$	2.62284	+	2.27270i	0.341465	+	0.295881i	−0.467199	+	0.884152i	$0.654737\pi$
$60$	7.10156	+	2.42721i	0.916807	+	0.313351i
$61$	11.6181	−	1.67044i	1.48755	−	0.213877i	0.649873	−	0.760043i	$-0.274822\pi$
$61$	11.6181	−	1.67044i	1.48755	−	0.213877i	0.837677	+	0.546166i	$0.183913\pi$
$62$	3.49426	+	0.249914i	0.443771	+	0.0317392i
$63$	31.1456	+	11.6167i	3.92397	+	1.46357i
$64$	−0.281733	−	0.959493i	−0.0352166	−	0.119937i
$65$	−3.49491	−	1.78470i	−0.433490	−	0.221365i
$66$	−3.73855	−	0.537522i	−0.460184	−	0.0661644i
$67$	−1.29791	−	0.282344i	−0.158565	−	0.0344938i	0.132582	−	0.991172i	$-0.457673\pi$
$67$	−1.29791	−	0.282344i	−0.158565	−	0.0344938i	−0.291147	+	0.956678i	$0.594037\pi$
$68$	−0.570495	+	0.570495i	−0.0691827	+	0.0691827i
$69$	15.9989	−	1.76708i	1.92604	−	0.212731i
$70$	−6.07535	−	6.63149i	−0.726143	−	0.792614i
$71$	−12.9901	+	8.34826i	−1.54165	+	0.990756i	−0.554275	+	0.832333i	$0.687005\pi$
$71$	−12.9901	+	8.34826i	−1.54165	+	0.990756i	−0.987371	+	0.158423i	$0.949359\pi$
$72$	4.95285	+	6.61623i	0.583698	+	0.779730i
$73$	−6.76526	+	2.52331i	−0.791813	+	0.295331i	−0.712640	−	0.701530i	$-0.752501\pi$
$73$	−6.76526	+	2.52331i	−0.791813	+	0.295331i	−0.0791731	+	0.996861i	$0.525228\pi$
$74$	−2.30772	+	0.677607i	−0.268267	+	0.0787702i
$75$	15.1509	+	7.21578i	1.74948	+	0.833207i
$76$	4.03513	−	3.49646i	0.462861	−	0.401072i
$77$	3.62346	+	2.71249i	0.412931	+	0.309117i
$78$	−2.82286	−	5.16969i	−0.319626	−	0.585352i
$79$	−6.05650	+	6.98957i	−0.681410	+	0.786389i	−0.986116	−	0.166058i	$-0.946896\pi$
$79$	−6.05650	+	6.98957i	−0.681410	+	0.786389i	0.304706	+	0.952446i	$0.401442\pi$
$80$	−0.379318	−	2.20366i	−0.0424091	−	0.246377i
$81$	−29.0326	−	18.6581i	−3.22584	−	2.07312i
$82$	−0.169092	−	2.36422i	−0.0186731	−	0.261085i
$83$	3.94140	−	2.15217i	0.432625	−	0.236231i	−0.248153	−	0.968721i	$-0.579824\pi$
$83$	3.94140	−	2.15217i	0.432625	−	0.236231i	0.680778	+	0.732490i	$0.261642\pi$
$84$	−1.92116	−	13.3619i	−0.209615	−	1.45791i
$85$	−1.41377	+	1.12066i	−0.153345	+	0.121553i
$86$	−3.78333	+	1.72779i	−0.407967	+	0.186312i
$87$	−4.63494	+	8.48827i	−0.496918	+	0.910038i
$88$	0.393269	+	1.05439i	0.0419226	+	0.112399i
$89$	−0.442275	+	3.07609i	−0.0468811	+	0.326065i	0.952862	+	0.303404i	$0.0981231\pi$
$89$	−0.442275	+	3.07609i	−0.0468811	+	0.326065i	−0.999743	+	0.0226615i	$0.992786\pi$
$90$	9.30193	+	15.9687i	0.980510	+	1.68325i
$91$			7.05866i			0.739949i
$92$	−2.74660	−	3.93144i	−0.286353	−	0.409880i
$93$	8.31396	+	8.31396i	0.862117	+	0.862117i
$94$	−2.25593	−	3.51029i	−0.232681	−	0.362059i
$95$	9.86129	−	6.72998i	1.01175	−	0.690481i
$96$	1.39425	−	3.05299i	0.142300	−	0.311594i
$97$	−16.3357	−	8.91998i	−1.65864	−	0.905686i	−0.986205	−	0.165531i	$-0.947066\pi$
$97$	−16.3357	−	8.91998i	−1.65864	−	0.905686i	−0.672436	−	0.740155i	$-0.734752\pi$
$98$	−3.20714	+	8.59867i	−0.323970	+	0.868597i
$99$	−6.09063	−	7.02896i	−0.612131	−	0.706437i
$100$	−0.276469	−	4.99235i	−0.0276469	−	0.499235i
$101$	−14.2017	−	4.17000i	−1.41312	−	0.414931i	−0.515954	−	0.856616i	$-0.672563\pi$
$101$	−14.2017	−	4.17000i	−1.41312	−	0.414931i	−0.897170	+	0.441685i	$0.854381\pi$
$102$	−2.70096	+	0.193177i	−0.267435	+	0.0191273i
$103$	−11.0288	+	2.39916i	−1.08670	+	0.236397i	−0.720022	−	0.693952i	$-0.755868\pi$
$103$	−11.0288	+	2.39916i	−1.08670	+	0.236397i	−0.366677	+	0.930348i	$0.619504\pi$
$104$	−0.948807	+	1.47637i	−0.0930382	+	0.144770i
$105$	−0.834854	−	30.1739i	−0.0814734	−	2.94467i
$106$	−1.90092	+	6.47394i	−0.184634	+	0.628804i
$107$	7.90654	−	10.5619i	0.764354	−	1.02106i	−0.234448	−	0.972129i	$-0.575328\pi$
$107$	7.90654	−	10.5619i	0.764354	−	1.02106i	0.998802	−	0.0489288i	$-0.0155807\pi$
$108$	−1.26055	+	17.6248i	−0.121297	+	1.69595i
$109$	0.619116	+	1.35567i	0.0593006	+	0.129850i	0.936962	−	0.349430i	$-0.113625\pi$
$109$	0.619116	+	1.35567i	0.0593006	+	0.129850i	−0.877662	+	0.479281i	$0.840898\pi$
$110$	0.602690	+	2.44311i	0.0574643	+	0.232942i
$111$	−7.34287	−	3.35338i	−0.696955	−	0.318288i
$112$	−3.21986	+	2.41036i	−0.304248	+	0.227757i
$113$	0.933242	−	4.29005i	0.0877920	−	0.403573i	−0.912189	−	0.409770i	$-0.865609\pi$
$113$	0.933242	−	4.29005i	0.0877920	−	0.403573i	0.999981	+	0.00619676i	$0.00197250\pi$
$114$	17.9201			1.67837
$115$	−5.09098	−	9.43832i	−0.474736	−	0.880128i
$116$	2.88153			0.267544
$117$	3.08310	−	14.1728i	0.285033	−	1.31028i
$118$	2.77829	−	2.07980i	0.255762	−	0.191461i
$119$	2.95179	+	1.34804i	0.270590	+	0.123574i
$120$	3.88128	−	6.42332i	0.354311	−	0.586367i
$121$	4.04348	+	8.85399i	0.367589	+	0.804908i
$122$	0.837351	−	11.7077i	0.0758102	−	1.05997i
$123$	4.76742	−	6.36853i	0.429864	−	0.574231i
$124$	0.986961	−	3.36128i	0.0886317	−	0.301852i
$125$	0.668372	−	11.1603i	0.0597810	−	0.998212i
$126$	17.9717	−	27.9645i	1.60104	−	2.49127i
$127$	16.6004	−	3.61120i	1.47305	−	0.320442i	0.596834	−	0.802365i	$-0.296425\pi$
$127$	16.6004	−	3.61120i	1.47305	−	0.320442i	0.876214	+	0.481923i	$0.160061\pi$
$128$	−0.997452	+	0.0713392i	−0.0881631	+	0.00630555i
$129$	−13.3940	−	3.93283i	−1.17927	−	0.346266i
$130$	−2.48681	+	3.03567i	−0.218108	+	0.266246i
$131$	8.64318	+	9.97476i	0.755158	+	0.871499i	0.995058	−	0.0992990i	$-0.0316600\pi$
$131$	8.64318	+	9.97476i	0.755158	+	0.871499i	−0.239900	+	0.970798i	$0.577115\pi$
$132$	−1.31992	+	3.53885i	−0.114885	+	0.308018i
$133$	−18.8481	−	10.2919i	−1.63434	−	0.892418i
$134$	−0.551783	+	1.20824i	−0.0476668	+	0.104376i
$135$	−7.32765	+	38.8255i	−0.630663	+	3.34157i
$136$	0.436190	+	0.678725i	0.0374030	+	0.0582001i
$137$	2.39740	+	2.39740i	0.204824	+	0.204824i	0.802063	−	0.597239i	$-0.203736\pi$
$137$	2.39740	+	2.39740i	0.204824	+	0.204824i	−0.597239	+	0.802063i	$0.703736\pi$
$138$	1.67412	−	16.0089i	0.142510	−	1.36277i
$139$		−	2.52428i		−	0.214107i	−0.994253	−	0.107053i	$-0.965858\pi$
$139$		−	2.52428i		−	0.214107i	0.994253	−	0.107053i	$-0.0341416\pi$
$140$	−7.77135	+	4.52689i	−0.656799	+	0.382592i
$141$	1.99309	−	13.8622i	0.167848	−	1.16741i
$142$	5.39622	+	14.4678i	0.452841	+	1.21411i
$143$	0.946492	−	1.73337i	0.0791496	−	0.144952i
$144$	7.51783	−	3.43328i	0.626486	−	0.286106i
$145$	6.40064	+	0.740235i	0.531544	+	0.0614732i
$146$	1.02759	+	7.14702i	0.0850436	+	0.591491i
$147$	−27.0340	+	14.7617i	−2.22973	+	1.21752i
$148$	0.171581	+	2.39901i	0.0141039	+	0.197198i
$149$	8.61031	+	5.53351i	0.705384	+	0.453323i	0.843525	−	0.537090i	$-0.180476\pi$
$149$	8.61031	+	5.53351i	0.705384	+	0.453323i	−0.138141	+	0.990413i	$0.544113\pi$
$150$	10.2714	−	13.2708i	0.838659	−	1.08356i
$151$	−4.80931	+	5.55024i	−0.391376	+	0.451672i	−0.916906	−	0.399103i	$-0.869322\pi$
$151$	−4.80931	+	5.55024i	−0.391376	+	0.451672i	0.525530	+	0.850775i	$0.323867\pi$
$152$	−2.55883	−	4.68614i	−0.207548	−	0.380096i
$153$	−5.33798	−	3.99596i	−0.431550	−	0.323054i
$154$	3.42072	−	2.96407i	0.275649	−	0.238852i
$155$	3.05578	−	7.21275i	0.245446	−	0.579342i
$156$	−5.65159	+	1.65946i	−0.452489	+	0.132863i
$157$	−6.46301	+	2.41058i	−0.515804	+	0.192385i	−0.593867	−	0.804563i	$-0.702399\pi$
$157$	−6.46301	+	2.41058i	−0.515804	+	0.192385i	0.0780624	+	0.996948i	$0.475127\pi$
$158$	5.54244	+	7.40383i	0.440933	+	0.589017i
$159$	−19.0508	+	12.2432i	−1.51083	+	0.970950i
$160$	−2.23393	−	0.0977718i	−0.176608	−	0.00772954i
$161$	−10.9551	+	15.8765i	−0.863381	+	1.25125i
$162$	−24.4030	+	24.4030i	−1.91728	+	1.91728i
$163$	7.78812	+	1.69420i	0.610012	+	0.132700i	0.506951	−	0.861975i	$-0.330773\pi$
$163$	7.78812	+	1.69420i	0.610012	+	0.132700i	0.103061	+	0.994675i	$0.467136\pi$
$164$	−2.34613	−	0.337323i	−0.183202	−	0.0263405i
$165$	−3.84099	+	7.52165i	−0.299021	+	0.585559i
$166$	−1.26518	−	4.30881i	−0.0981970	−	0.334428i
$167$	−1.00736	−	0.375727i	−0.0779522	−	0.0290747i	0.310186	−	0.950676i	$-0.399609\pi$
$167$	−1.00736	−	0.375727i	−0.0779522	−	0.0290747i	−0.388138	+	0.921601i	$0.626882\pi$
$168$	−13.4650	−	0.963032i	−1.03884	−	0.0742996i
$169$	−9.81912	+	1.41178i	−0.755317	+	0.108598i
$170$	0.794535	+	1.61968i	0.0609380	+	0.124224i
$171$	33.3491	+	28.8972i	2.55027	+	2.20982i
$172$	0.884098	+	4.06413i	0.0674119	+	0.309887i
$173$	−4.87405	−	22.4057i	−0.370567	−	1.70347i	−0.664202	−	0.747553i	$-0.731228\pi$
$173$	−4.87405	−	22.4057i	−0.370567	−	1.70347i	0.293634	−	0.955918i	$-0.405135\pi$
$174$	7.30906	+	6.33333i	0.554098	+	0.480129i
$175$	−18.4251	+	8.05903i	−1.39281	+	0.609205i
$176$	1.11389	−	0.160154i	0.0839628	−	0.0120720i
$177$	11.6184	+	0.830963i	0.873291	+	0.0624590i
$178$	2.91178	+	1.08604i	0.218247	+	0.0814020i
$179$	−3.00324	−	10.2281i	−0.224472	−	0.764483i	−0.992303	−	0.123830i	$-0.960482\pi$
$179$	−3.00324	−	10.2281i	−0.224472	−	0.764483i	0.767831	−	0.640653i	$-0.221336\pi$
$180$	17.5810	−	5.69496i	1.31041	−	0.424477i
$181$	−6.15811	−	0.885402i	−0.457728	−	0.0658114i	−0.0904058	−	0.995905i	$-0.528816\pi$
$181$	−6.15811	−	0.885402i	−0.457728	−	0.0658114i	−0.367323	+	0.930094i	$0.619725\pi$
$182$	6.89735	+	1.50043i	0.511265	+	0.111219i
$183$	27.8564	−	27.8564i	2.05920	−	2.05920i
$184$	−4.42542	+	1.84815i	−0.326246	+	0.136247i
$185$	−0.235155	+	5.37292i	−0.0172889	+	0.395025i
$186$	9.89121	−	6.35670i	0.725259	−	0.466096i
$187$	−0.544103	−	0.726837i	−0.0397888	−	0.0531516i
$188$	−3.90960	+	1.45821i	−0.285137	+	0.106351i
$189$	68.1911	−	20.0227i	4.96017	−	1.45644i
$190$	−4.48001	−	11.0665i	−0.325014	−	0.802847i
$191$	15.0020	−	12.9993i	1.08550	−	0.940595i	0.0870515	−	0.996204i	$-0.472256\pi$
$191$	15.0020	−	12.9993i	1.08550	−	0.940595i	0.998453	+	0.0556092i	$0.0177101\pi$
$192$	−2.68685	−	2.01135i	−0.193907	−	0.145157i
$193$	7.77598	+	14.2406i	0.559727	+	1.02506i	0.992346	+	0.123487i	$0.0394077\pi$
$193$	7.77598	+	14.2406i	0.559727	+	1.02506i	−0.432619	+	0.901577i	$0.642410\pi$
$194$	−12.1885	+	14.0663i	−0.875086	+	1.00990i
$195$	−12.9800	+	2.23426i	−0.929514	+	0.159998i
$196$	7.72044	+	4.96162i	0.551460	+	0.354402i
$197$	0.522575	+	7.30656i	0.0372320	+	0.520571i	0.981509	+	0.191418i	$0.0613086\pi$
$197$	0.522575	+	7.30656i	0.0372320	+	0.520571i	−0.944277	+	0.329153i	$0.893237\pi$
$198$	−8.16298	+	4.45733i	−0.580118	+	0.316768i
$199$	−0.206468	−	1.43602i	−0.0146361	−	0.101796i	0.981194	−	0.193025i	$-0.0618298\pi$
$199$	−0.206468	−	1.43602i	−0.0146361	−	0.101796i	−0.995830	+	0.0912283i	$0.970921\pi$
$200$	−4.93703	−	0.791050i	−0.349101	−	0.0559357i
$201$	−4.05519	+	1.85195i	−0.286031	+	0.130626i
$202$	−7.09350	+	12.9908i	−0.499097	+	0.914028i
$203$	−4.05023	−	10.8591i	−0.284270	−	0.762158i
$204$	−0.385369	+	2.68030i	−0.0269812	+	0.187658i
$205$	−5.12473	−	1.35198i	−0.357926	−	0.0944264i
$206$			11.2867i			0.786383i
$207$	28.9309	−	27.0929i	2.01083	−	1.88308i
$208$	1.24095	+	1.24095i	0.0860444	+	0.0860444i
$209$	3.24844	+	5.05467i	0.224699	+	0.349639i
$210$	−29.6618	−	5.59815i	−2.04686	−	0.386309i
$211$	6.71315	−	14.6998i	0.462152	−	1.01197i	−0.524839	−	0.851201i	$-0.675875\pi$
$211$	6.71315	−	14.6998i	0.462152	−	1.01197i	0.986992	−	0.160771i	$-0.0513982\pi$
$212$	5.92192	+	3.23361i	0.406719	+	0.222085i
$213$	−18.1113	+	48.5583i	−1.24097	+	3.32716i
$214$	−8.63987	−	9.97094i	−0.590609	−	0.681600i
$215$	0.919781	+	9.25462i	0.0627286	+	0.631160i
$216$	16.9541	+	4.97817i	1.15358	+	0.338722i
$217$	−14.0543	+	1.00518i	−0.954066	+	0.0682361i
$218$	1.45630	−	0.316798i	0.0986328	−	0.0214563i
$219$	−13.1020	+	20.3871i	−0.885349	+	1.37763i
$220$	2.51539	−	0.0695960i	0.169588	−	0.00469216i
$221$	0.398908	−	1.35856i	0.0268335	−	0.0913864i
$222$	−4.83758	+	6.46225i	−0.324677	+	0.433718i
$223$	1.35322	−	18.9205i	0.0906184	−	1.26701i	−0.725134	−	0.688608i	$-0.758222\pi$
$223$	1.35322	−	18.9205i	0.0906184	−	1.26701i	0.815752	−	0.578402i	$-0.196323\pi$
$224$	1.67084	+	3.65863i	0.111638	+	0.244453i
$225$	40.5151	−	8.13362i	2.70101	−	0.542241i
$226$	−3.99363	−	1.82383i	−0.265652	−	0.121319i
$227$	10.5681	−	7.91120i	0.701431	−	0.525085i	−0.187992	−	0.982171i	$-0.560198\pi$
$227$	10.5681	−	7.91120i	0.701431	−	0.525085i	0.889422	+	0.457086i	$0.151107\pi$
$228$	3.80918	−	17.5105i	0.252269	−	1.15966i
$229$	−0.731530			−0.0483408			−0.0241704	−	0.999708i	$-0.507694\pi$
$229$	−0.731530			−0.0483408			−0.0241704	+	0.999708i	$0.507694\pi$
$230$	−10.3048	+	2.96837i	−0.679478	+	0.195729i
$231$	15.1915			0.999524
$232$	0.612514	−	2.81568i	0.0402135	−	0.184859i
$233$	−17.6633	+	13.2225i	−1.15716	+	0.866238i	−0.992755	−	0.120156i	$-0.961661\pi$
$233$	−17.6633	+	13.2225i	−1.15716	+	0.866238i	−0.164403	+	0.986393i	$0.552570\pi$
$234$	−13.1935	−	6.02529i	−0.862489	−	0.393886i
$235$	−9.05885	+	2.23472i	−0.590934	+	0.145777i
$236$	−1.44170	−	3.15689i	−0.0938470	−	0.205496i
$237$	−2.21442	+	30.9617i	−0.143842	+	2.01118i
$238$	1.94468	−	2.59779i	0.126055	−	0.168389i
$239$	−0.137096	+	0.466906i	−0.00886800	+	0.0302016i	−0.963808	−	0.266597i	$-0.914101\pi$
$239$	−0.137096	+	0.466906i	−0.00886800	+	0.0302016i	0.954940	+	0.296798i	$0.0959190\pi$
$240$	−5.45150	−	5.15796i	−0.351893	−	0.332945i
$241$	8.20660	−	12.7697i	0.528633	−	0.822570i	−0.469545	−	0.882909i	$-0.655582\pi$
$241$	8.20660	−	12.7697i	0.528633	−	0.822570i	0.998178	+	0.0603392i	$0.0192182\pi$
$242$	9.51115	−	2.06902i	0.611400	−	0.133002i
$243$	−62.6596	+	4.48150i	−4.01961	+	0.287489i
$244$	−11.2622	−	3.30687i	−0.720985	−	0.211700i
$245$	15.8745	+	13.0044i	1.01419	+	0.830819i
$246$	−5.20960	−	6.01220i	−0.332152	−	0.383324i
$247$	−3.27455	+	8.77941i	−0.208355	+	0.558620i
$248$	−3.07467	−	1.67890i	−0.195242	−	0.106610i
$249$	6.26119	−	13.7101i	0.396787	−	0.868842i
$250$	−10.7632	−	3.02540i	−0.680726	−	0.191343i
$251$	1.35410	+	2.10703i	0.0854703	+	0.132994i	0.881356	−	0.472452i	$-0.156631\pi$
$251$	1.35410	+	2.10703i	0.0854703	+	0.132994i	−0.795886	+	0.605446i	$0.792995\pi$
$252$	−23.5052	−	23.5052i	−1.48069	−	1.48069i
$253$	4.81908	−	2.42979i	0.302973	−	0.152759i
$254$		−	16.9887i		−	1.06596i
$255$	−1.54455	+	5.85465i	−0.0967232	+	0.366632i
$256$	−0.142315	+	0.989821i	−0.00889468	+	0.0618638i
$257$	−0.554053	−	1.48547i	−0.0345609	−	0.0926614i	0.918523	−	0.395367i	$-0.129383\pi$
$257$	−0.554053	−	1.48547i	−0.0345609	−	0.0926614i	−0.953084	+	0.302706i	$0.902110\pi$
$258$	−6.69004	+	12.2519i	−0.416504	+	0.762770i
$259$	8.79953	−	4.01861i	0.546776	−	0.249704i
$260$	2.43769	+	3.07526i	0.151179	+	0.190720i
$261$	3.38923	+	23.5726i	0.209788	+	1.45911i
$262$	11.5840	−	6.32537i	0.715665	−	0.390782i
$263$	−1.05926	−	14.8104i	−0.0653167	−	0.913247i	−0.919454	−	0.393199i	$-0.871368\pi$
$263$	−1.05926	−	14.8104i	−0.0653167	−	0.913247i	0.854137	−	0.520048i	$-0.174086\pi$
$264$	3.17741	+	2.04200i	0.195556	+	0.125676i
$265$	12.3235	+	8.70398i	0.757024	+	0.534681i
$266$	−14.0631	+	16.2297i	−0.862265	+	0.995107i
$267$	4.99877	+	9.15457i	0.305920	+	0.560251i
$268$	1.06333	+	0.796002i	0.0649535	+	0.0486236i
$269$	−8.95770	+	7.76189i	−0.546161	+	0.473251i	−0.883696	−	0.468062i	$-0.844952\pi$
$269$	−8.95770	+	7.76189i	−0.546161	+	0.473251i	0.337535	+	0.941313i	$0.390407\pi$
$270$	36.3806	+	15.4131i	2.21406	+	0.938014i
$271$	13.5629	−	3.98242i	0.823887	−	0.241915i	0.157498	−	0.987519i	$-0.449657\pi$
$271$	13.5629	−	3.98242i	0.823887	−	0.241915i	0.666389	+	0.745604i	$0.267839\pi$
$272$	0.755932	−	0.281948i	0.0458351	−	0.0170956i
$273$	14.1974	+	18.9656i	0.859268	+	1.14785i
$274$	2.85222	−	1.83301i	0.172309	−	0.110736i
$275$	5.60522	+	0.491586i	0.338008	+	0.0296438i
$276$	−15.2872	−	5.03880i	−0.920181	−	0.303300i
$277$	16.4799	−	16.4799i	0.990184	−	0.990184i	−0.00976828	−	0.999952i	$-0.503109\pi$
$277$	16.4799	−	16.4799i	0.990184	−	0.990184i	0.999952	+	0.00976828i	$0.00310939\pi$
$278$	−2.46659	−	0.536575i	−0.147936	−	0.0321816i
$279$	28.6580	+	4.12041i	1.71571	+	0.246682i
$280$	2.77151	+	8.55601i	0.165630	+	0.511319i
$281$	2.55433	+	8.69924i	0.152378	+	0.518953i	0.999931	−	0.0117584i	$-0.00374291\pi$
$281$	2.55433	+	8.69924i	0.152378	+	0.518953i	−0.847552	+	0.530712i	$0.821925\pi$
$282$	−13.1218	−	4.89417i	−0.781390	−	0.291443i
$283$	7.68752	+	0.549822i	0.456975	+	0.0326835i	0.297930	−	0.954588i	$-0.403704\pi$
$283$	7.68752	+	0.549822i	0.456975	+	0.0326835i	0.159046	+	0.987271i	$0.449158\pi$
$284$	15.2842	−	2.19754i	0.906953	−	0.130400i
$285$	12.9595	−	37.9169i	0.767652	−	2.24601i
$286$	−1.49257	−	1.29332i	−0.0882573	−	0.0764754i
$287$	2.02648	+	9.31556i	0.119619	+	0.549880i
$288$	−1.75679	−	8.07582i	−0.103520	−	0.475872i
$289$	12.3558	+	10.7064i	0.726812	+	0.629786i
$290$	2.08387	−	6.09702i	0.122369	−	0.358029i
$291$	−61.8328	+	8.89022i	−3.62470	+	0.521154i
$292$	7.20211	+	0.515105i	0.421472	+	0.0301443i
$293$	−2.89925	−	1.08136i	−0.169376	−	0.0631739i	0.263346	−	0.964701i	$-0.415174\pi$
$293$	−2.89925	−	1.08136i	−0.169376	−	0.0631739i	−0.432722	+	0.901528i	$0.642447\pi$
$294$	8.67784	+	29.5540i	0.506102	+	1.72363i
$295$	−2.39143	−	7.38265i	−0.139235	−	0.429834i
$296$	2.38066	+	0.342287i	0.138373	+	0.0198950i
$297$	−19.4303	−	4.22680i	−1.12746	−	0.245264i
$298$	7.23731	−	7.23731i	0.419246	−	0.419246i
$299$	7.53718	+	3.74551i	0.435887	+	0.216608i
$300$	−10.7842	−	12.8576i	−0.622626	−	0.742335i
$301$	14.0730	−	9.04420i	0.811157	−	0.521299i
$302$	4.40111	+	5.87919i	0.253255	+	0.338310i
$303$	−46.5452	+	17.3605i	−2.67395	+	0.997333i
$304$	−5.12297	+	1.50424i	−0.293822	+	0.0862740i
$305$	−24.1667	−	10.2385i	−1.38378	−	0.586257i
$306$	−5.03931	+	4.36659i	−0.288078	+	0.249621i
$307$	0.128581	+	0.0962544i	0.00733849	+	0.00549353i	0.602941	−	0.797786i	$-0.293996\pi$
$307$	0.128581	+	0.0962544i	0.00733849	+	0.00549353i	−0.595602	+	0.803280i	$0.703086\pi$
$308$	−2.16921	−	3.97260i	−0.123602	−	0.226360i
$309$	−24.8071	+	28.6289i	−1.41123	+	1.62864i
$310$	−6.39836	−	4.51912i	−0.363403	−	0.256669i
$311$	−13.5427	−	8.70338i	−0.767937	−	0.493523i	0.0970731	−	0.995277i	$-0.469052\pi$
$311$	−13.5427	−	8.70338i	−0.767937	−	0.493523i	−0.865010	+	0.501754i	$0.832688\pi$
$312$	0.420201	+	5.87518i	0.0237892	+	0.332616i
$313$	18.9071	−	10.3241i	1.06869	−	0.583550i	0.154153	−	0.988047i	$-0.450735\pi$
$313$	18.9071	−	10.3241i	1.06869	−	0.583550i	0.914540	+	0.404497i	$0.132553\pi$
$314$	0.981677	+	6.82772i	0.0553993	+	0.385310i
$315$	−46.1731	−	58.2496i	−2.60156	−	3.28199i
$316$	8.41276	−	3.84198i	0.473255	−	0.216128i
$317$	5.10233	−	9.34421i	0.286575	−	0.524823i	−0.694245	−	0.719739i	$-0.744262\pi$
$317$	5.10233	−	9.34421i	0.286575	−	0.524823i	0.980820	+	0.194916i	$0.0624433\pi$
$318$	7.91387	+	21.2179i	0.443788	+	1.18984i
$319$	−0.461488	+	3.20972i	−0.0258384	+	0.179710i
$320$	−0.570393	+	2.16209i	−0.0318860	+	0.120865i
$321$		−	44.2811i		−	2.47153i
$322$	13.1850	+	14.0795i	0.734773	+	0.784621i
$323$	3.04601	+	3.04601i	0.169485	+	0.169485i
$324$	18.6581	+	29.0326i	1.03656	+	1.61292i
$325$	4.62474	+	7.45718i	0.256535	+	0.413650i
$326$	3.31097	−	7.25001i	0.183377	−	0.401541i
$327$	4.39021	+	2.39724i	0.242779	+	0.132567i
$328$	−0.828321	+	2.22081i	−0.0457364	+	0.122624i
$329$	10.9905	+	12.6837i	0.605927	+	0.699277i
$330$	6.53329	+	5.35205i	0.359646	+	0.294621i
$331$	27.3650	+	8.03509i	1.50412	+	0.441649i	0.927015	−	0.375024i	$-0.122365\pi$
$331$	27.3650	+	8.03509i	1.50412	+	0.441649i	0.577102	+	0.816672i	$0.304184\pi$
$332$	−4.47927	+	0.320364i	−0.245832	+	0.0175822i
$333$	−19.4235	+	4.22532i	−1.06440	+	0.231546i
$334$	−0.581271	+	0.904476i	−0.0318058	+	0.0494907i
$335$	2.15746	+	2.04129i	0.117875	+	0.111528i
$336$	−3.80321	+	12.9525i	−0.207482	+	0.706618i
$337$	−10.8981	+	14.5581i	−0.593655	+	0.793030i	−0.992271	−	0.124088i	$-0.960400\pi$
$337$	−10.8981	+	14.5581i	−0.593655	+	0.793030i	0.398617	+	0.917118i	$0.369490\pi$
$338$	−0.707691	+	9.89481i	−0.0384933	+	0.538207i
$339$	−6.12130	−	13.4038i	−0.332464	−	0.727994i
$340$	1.75155	−	0.432090i	0.0949913	−	0.0234334i
$341$	3.58604	+	1.63769i	0.194195	+	0.0886859i
$342$	35.3256	−	26.4444i	1.91019	−	1.42995i
$343$	1.86150	−	8.55720i	0.100512	−	0.462045i
$344$	4.15918			0.224248
$345$	−32.6625	−	15.1196i	−1.75849	−	0.814013i
$346$	−22.9297			−1.23271
$347$	2.22238	−	10.2161i	0.119303	−	0.548429i	−0.878230	−	0.478238i	$-0.841276\pi$
$347$	2.22238	−	10.2161i	0.119303	−	0.548429i	0.997534	−	0.0701906i	$-0.0223607\pi$
$348$	7.74225	−	5.79577i	0.415028	−	0.310686i
$349$	−10.1639	−	4.64172i	−0.544063	−	0.248465i	0.124372	−	0.992236i	$-0.460308\pi$
$349$	−10.1639	−	4.64172i	−0.544063	−	0.248465i	−0.668435	+	0.743770i	$0.733036\pi$
$350$	3.95831	+	19.7171i	0.211581	+	1.05392i
$351$	−12.8820	−	28.2077i	−0.687591	−	1.50562i
$352$	0.0802814	−	1.12248i	0.00427901	−	0.0598284i
$353$	5.64841	−	7.54539i	0.300634	−	0.401600i	−0.624632	−	0.780920i	$-0.714751\pi$
$353$	5.64841	−	7.54539i	0.300634	−	0.401600i	0.925266	+	0.379319i	$0.123842\pi$
$354$	3.28164	−	11.1762i	0.174417	−	0.594010i
$355$	34.5148	−	0.954959i	1.83186	−	0.0506840i
$356$	1.68016	−	2.61439i	0.0890485	−	0.138562i
$357$	10.6424	−	2.31511i	0.563255	−	0.122529i
$358$	−10.6327	+	0.760467i	−0.561957	+	0.0401920i
$359$	−13.4794	−	3.95790i	−0.711413	−	0.208890i	−0.0940495	−	0.995568i	$-0.529981\pi$
$359$	−13.4794	−	3.95790i	−0.711413	−	0.208890i	−0.617364	+	0.786678i	$0.711799\pi$
$360$	−1.82769	−	18.3898i	−0.0963279	−	0.969228i
$361$	−6.22610	−	7.18531i	−0.327690	−	0.378174i
$362$	−2.17417	+	5.82917i	−0.114272	+	0.306374i
$363$	28.6727	+	15.6565i	1.50493	+	0.821752i
$364$	2.93227	−	6.42078i	0.153693	−	0.336540i
$365$	15.8655	+	2.99433i	0.830436	+	0.156730i
$366$	−21.2985	−	33.1410i	−1.11329	−	1.73231i
$367$	6.23193	+	6.23193i	0.325304	+	0.325304i	0.850798	−	0.525493i	$-0.176119\pi$
$367$	6.23193	+	6.23193i	0.325304	+	0.325304i	−0.525493	+	0.850798i	$0.676119\pi$
$368$	0.865219	+	4.71714i	0.0451026	+	0.245898i
$369$		−	19.5895i		−	1.01979i
$370$	5.20014	+	1.37188i	0.270343	+	0.0713205i
$371$	3.86216	−	26.8619i	0.200513	−	1.39460i
$372$	−4.10890	−	11.0164i	−0.213036	−	0.571173i
$373$	1.18421	−	2.16872i	0.0613162	−	0.112292i	−0.845223	−	0.534413i	$-0.820533\pi$
$373$	1.18421	−	2.16872i	0.0613162	−	0.112292i	0.906539	+	0.422121i	$0.138714\pi$
$374$	−0.825884	+	0.377169i	−0.0427054	+	0.0195029i
$375$	−20.6515	−	31.3305i	−1.06644	−	1.61790i
$376$	0.593836	+	4.13022i	0.0306247	+	0.213000i
$377$	−4.43842	+	2.42356i	−0.228590	+	0.124820i
$378$	−5.07007	−	70.8888i	−0.260776	−	3.64613i
$379$	24.4487	+	15.7123i	1.25585	+	0.807084i	0.987710	−	0.156296i	$-0.0499555\pi$
$379$	24.4487	+	15.7123i	1.25585	+	0.807084i	0.268137	+	0.963381i	$0.413592\pi$
$380$	−11.7659	+	2.02527i	−0.603577	+	0.103894i
$381$	37.3394	−	43.0920i	1.91296	−	2.20767i
$382$	−9.51331	−	17.4223i	−0.486743	−	0.891403i
$383$	−0.636090	−	0.476171i	−0.0325027	−	0.0243312i	0.582903	−	0.812542i	$-0.301917\pi$
$383$	−0.636090	−	0.476171i	−0.0325027	−	0.0243312i	−0.615406	+	0.788211i	$0.711008\pi$
$384$	−2.53652	+	2.19790i	−0.129441	+	0.112161i
$385$	−3.79786	−	9.38144i	−0.193557	−	0.478123i
$386$	15.5681	−	4.57121i	0.792395	−	0.232668i
$387$	−32.2071	+	12.0126i	−1.63718	+	0.610635i
$388$	11.1540	+	14.9000i	0.566258	+	0.756433i
$389$	−21.3772	+	13.7383i	−1.08387	+	0.696559i	−0.955448	−	0.295161i	$-0.904627\pi$
$389$	−21.3772	+	13.7383i	−1.08387	+	0.696559i	−0.128420	+	0.991720i	$0.540990\pi$
$390$	−0.575894	+	13.1583i	−0.0291615	+	0.666294i
$391$	3.00572	−	2.43660i	0.152006	−	0.123224i
$392$	6.48933	−	6.48933i	0.327761	−	0.327761i
$393$	43.2857	+	9.41622i	2.18347	+	0.474985i
$394$	7.25066	+	1.04249i	0.365283	+	0.0525198i
$395$	19.6739	−	6.37290i	0.989902	−	0.320655i
$396$	2.62030	+	8.92391i	0.131675	+	0.448443i
$397$	4.46867	+	1.66673i	0.224276	+	0.0836506i	0.459090	−	0.888390i	$-0.348175\pi$
$397$	4.46867	+	1.66673i	0.224276	+	0.0836506i	−0.234814	+	0.972040i	$0.575448\pi$
$398$	−1.44709	−	0.103498i	−0.0725359	−	0.00518787i
$399$	−71.3427	+	10.2575i	−3.57160	+	0.513519i
$400$	−1.82241	+	4.65605i	−0.0911206	+	0.232803i
$401$	3.45453	+	2.99337i	0.172511	+	0.149482i	0.736837	−	0.676070i	$-0.236318\pi$
$401$	3.45453	+	2.99337i	0.172511	+	0.149482i	−0.564326	+	0.825552i	$0.690864\pi$
$402$	0.947629	+	4.35618i	0.0472634	+	0.217266i
$403$	1.30685	+	6.00748i	0.0650987	+	0.299254i
$404$	11.1861	+	9.69278i	0.556527	+	0.482234i
$405$	33.9864	+	69.2820i	1.68880	+	3.44265i
$406$	−11.4719	+	1.64940i	−0.569339	+	0.0818585i
$407$	−2.69972	−	0.193088i	−0.133820	−	0.00957102i
$408$	2.53713	+	0.946300i	0.125607	+	0.0468488i
$409$	−1.49209	−	5.08159i	−0.0737790	−	0.251268i	0.914343	−	0.404941i	$-0.132708\pi$
$409$	−1.49209	−	5.08159i	−0.0737790	−	0.251268i	−0.988122	+	0.153673i	$0.950890\pi$
$410$	−2.41042	+	4.72023i	−0.119042	+	0.233115i
$411$	11.2635	+	1.61944i	0.555586	+	0.0798812i
$412$	11.0288	+	2.39916i	0.543349	+	0.118198i
$413$	−9.87034	+	9.87034i	−0.485688	+	0.485688i
$414$	−20.3240	−	34.0287i	−0.998871	−	1.67242i
$415$	−10.0319	−	0.439065i	−0.492448	−	0.0215529i
$416$	1.47637	−	0.948807i	0.0723851	−	0.0465191i
$417$	−5.07721	−	6.78236i	−0.248632	−	0.332134i
$418$	5.62967	−	2.09976i	0.275356	−	0.102702i
$419$	−32.1950	+	9.45330i	−1.57283	+	0.461824i	−0.947823	−	0.318797i	$-0.896721\pi$
$419$	−32.1950	+	9.45330i	−1.57283	+	0.461824i	−0.625005	+	0.780621i	$0.714903\pi$
$420$	−11.7753	+	27.7940i	−0.574575	+	1.35621i
$421$	−6.75083	+	5.84962i	−0.329015	+	0.285093i	−0.803666	−	0.595081i	$-0.797120\pi$
$421$	−6.75083	+	5.84962i	−0.329015	+	0.285093i	0.474651	+	0.880174i	$0.342574\pi$
$422$	−12.9368	−	9.68439i	−0.629755	−	0.471429i
$423$	−16.5274	−	30.2676i	−0.803589	−	1.47166i
$424$	4.41851	−	5.09923i	0.214582	−	0.247641i
$425$	4.00166	−	0.509830i	0.194109	−	0.0247304i
$426$	43.5987	+	28.0192i	2.11236	+	1.35753i
$427$	3.36791	+	47.0896i	0.162985	+	2.27882i
$428$	−11.5796	+	6.32295i	−0.559722	+	0.305631i
$429$	−0.943334	−	6.56103i	−0.0455446	−	0.316770i
$430$	9.23864	+	1.06845i	0.445527	+	0.0515252i
$431$	−24.6772	+	11.2697i	−1.18866	+	0.542841i	−0.908813	−	0.417204i	$-0.863010\pi$
$431$	−24.6772	+	11.2697i	−1.18866	+	0.542841i	−0.279844	+	0.960046i	$0.590283\pi$
$432$	8.46825	−	15.5084i	0.407429	−	0.746151i
$433$	−4.16945	−	11.1787i	−0.200371	−	0.537215i	0.797436	−	0.603403i	$-0.206189\pi$
$433$	−4.16945	−	11.1787i	−0.200371	−	0.537215i	−0.997807	+	0.0661879i	$0.978916\pi$
$434$	−2.00524	+	13.9467i	−0.0962546	+	0.669465i
$435$	18.6864	−	10.8850i	0.895946	−	0.521897i
$436$		−	1.49036i		−	0.0713751i
$437$	−20.9909	+	14.6648i	−1.00413	+	0.701511i
$438$	17.1361	+	17.1361i	0.818796	+	0.818796i
$439$	14.8072	+	23.0404i	0.706707	+	1.09966i	0.990061	+	0.140642i	$0.0449166\pi$
$439$	14.8072	+	23.0404i	0.706707	+	1.09966i	−0.283354	+	0.959015i	$0.591447\pi$
$440$	0.466679	−	2.47270i	0.0222481	−	0.117881i
$441$	−31.5082	+	68.9934i	−1.50039	+	3.28540i
$442$	−1.24271	−	0.678574i	−0.0591099	−	0.0322765i
$443$	6.47712	−	17.3658i	0.307737	−	0.825076i	−0.687373	−	0.726305i	$-0.741236\pi$
$443$	6.47712	−	17.3658i	0.307737	−	0.825076i	0.995110	−	0.0987712i	$-0.0314912\pi$
$444$	5.28627	+	6.10068i	0.250875	+	0.289525i
$445$	4.40369	−	5.37562i	0.208755	−	0.254829i
$446$	−18.2005	−	5.34414i	−0.861817	−	0.253052i
$447$	34.2644	−	2.45064i	1.62065	−	0.115911i
$448$	3.93018	−	0.854959i	0.185684	−	0.0403930i
$449$	9.09528	−	14.1525i	0.429233	−	0.667899i	−0.557514	−	0.830168i	$-0.688245\pi$
$449$	9.09528	−	14.1525i	0.429233	−	0.667899i	0.986747	+	0.162268i	$0.0518810\pi$
$450$	0.664362	−	41.3181i	0.0313183	−	1.94775i
$451$	0.751484	−	2.55932i	0.0353860	−	0.120514i
$452$	−2.63106	+	3.51468i	−0.123754	+	0.165317i
$453$	−1.75842	+	24.5859i	−0.0826177	+	1.15515i
$454$	−5.48399	−	12.0083i	−0.257376	−	0.563575i
$455$	8.16278	−	13.5090i	0.382677	−	0.633310i
$456$	−16.3007	−	7.44426i	−0.763348	−	0.348609i
$457$	3.84616	−	2.87920i	0.179916	−	0.134683i	−0.505524	−	0.862812i	$-0.668701\pi$
$457$	3.84616	−	2.87920i	0.179916	−	0.134683i	0.685440	+	0.728129i	$0.259610\pi$
$458$	−0.155498	+	0.714812i	−0.00726593	+	0.0334010i
$459$	−14.2561			−0.665416
$460$	0.710095	+	10.7003i	0.0331084	+	0.498903i
$461$	−17.4657			−0.813461			−0.406730	−	0.913548i	$-0.633331\pi$
$461$	−17.4657			−0.813461			−0.406730	+	0.913548i	$0.633331\pi$
$462$	3.22918	−	14.8443i	0.150235	−	0.690618i
$463$	−10.5582	+	7.90376i	−0.490681	+	0.367319i	−0.815781	−	0.578360i	$-0.803693\pi$
$463$	−10.5582	+	7.90376i	−0.490681	+	0.367319i	0.325101	+	0.945679i	$0.394602\pi$
$464$	−2.62114	−	1.19703i	−0.121683	−	0.0555708i
$465$	−6.29695	−	25.5258i	−0.292014	−	1.18373i
$466$	9.16577	+	20.0702i	0.424596	+	0.929736i
$467$	2.03837	−	28.5002i	0.0943247	−	1.31883i	−0.701223	−	0.712942i	$-0.747362\pi$
$467$	2.03837	−	28.5002i	0.0943247	−	1.31883i	0.795548	−	0.605890i	$-0.207183\pi$
$468$	−8.69208	+	11.6113i	−0.401792	+	0.536731i
$469$	1.50514	−	5.12603i	0.0695008	−	0.236698i
$470$	0.258056	+	9.32685i	0.0119032	+	0.430216i
$471$	−12.5166	+	19.4762i	−0.576735	+	0.897418i
$472$	−3.39120	+	0.737711i	−0.156093	+	0.0339559i
$473$	−4.66860	+	0.333905i	−0.214663	+	0.0153530i
$474$	29.7834	+	8.74520i	1.36800	+	0.401680i
$475$	−26.6554	+	1.47614i	−1.22303	+	0.0677297i
$476$	−2.12505	−	2.45244i	−0.0974014	−	0.112407i
$477$	−19.4875	+	52.2480i	−0.892271	+	2.39227i
$478$	0.427094	+	0.233211i	0.0195348	+	0.0106668i
$479$	13.8117	−	30.2434i	0.631073	−	1.38186i	−0.276112	−	0.961125i	$-0.589046\pi$
$479$	13.8117	−	30.2434i	0.631073	−	1.38186i	0.907185	−	0.420732i	$-0.138227\pi$
$480$	−6.19889	+	4.23052i	−0.282939	+	0.193096i
$481$	−2.28202	−	3.55089i	−0.104051	−	0.161906i
$482$	−10.7334	−	10.7334i	−0.488895	−	0.488895i
$483$	2.49864	+	64.6924i	0.113692	+	2.94360i
$484$		−	9.73359i		−	0.442436i
$485$	20.9483	+	35.9622i	0.951214	+	1.63296i
$486$	−8.94017	+	62.1802i	−0.405534	+	2.82055i
$487$	5.35025	+	14.3446i	0.242443	+	0.650015i	0.999996	−	0.00275839i	$-0.000878025\pi$
$487$	5.35025	+	14.3446i	0.242443	+	0.650015i	−0.757553	+	0.652774i	$0.773605\pi$
$488$	−5.62524	+	10.3019i	−0.254642	+	0.466343i
$489$	24.3331	−	11.1126i	1.10038	−	0.502528i
$490$	16.0816	−	12.7475i	0.726491	−	0.575872i
$491$	5.18523	+	36.0641i	0.234006	+	1.62755i	0.680491	+	0.732757i	$0.261767\pi$
$491$	5.18523	+	36.0641i	0.234006	+	1.62755i	−0.446484	+	0.894791i	$0.647324\pi$
$492$	−6.98219	+	3.81256i	−0.314781	+	0.171884i
$493$	0.165851	+	2.31890i	0.00746956	+	0.104438i
$494$	7.88271	+	5.06591i	0.354660	+	0.227926i
$495$	3.52791	+	20.4955i	0.158568	+	0.921203i
$496$	−2.29410	+	2.64753i	−0.103008	+	0.118878i
$497$	−29.7647	−	54.5100i	−1.33513	−	2.44511i
$498$	−12.0659	−	9.03240i	−0.540685	−	0.404751i
$499$	28.1456	−	24.3883i	1.25997	−	1.09177i	0.268253	−	0.963349i	$-0.413554\pi$
$499$	28.1456	−	24.3883i	1.25997	−	1.09177i	0.991719	−	0.128424i	$-0.0409917\pi$
$500$	−5.24415	+	9.87415i	−0.234525	+	0.441586i
$501$	−3.46235	+	1.01664i	−0.154687	+	0.0454201i
$502$	2.34671	−	0.875278i	0.104739	−	0.0390656i
$503$	11.0599	+	14.7742i	0.493135	+	0.658751i	0.976210	−	0.216828i	$-0.0695711\pi$
$503$	11.0599	+	14.7742i	0.493135	+	0.658751i	−0.483075	+	0.875579i	$0.660480\pi$
$504$	−27.9645	+	17.9717i	−1.24564	+	0.800522i
$505$	22.3572	+	24.4038i	0.994883	+	1.08595i
$506$	−1.34989	−	5.22543i	−0.0600099	−	0.232299i
$507$	−23.5429	+	23.5429i	−1.04558	+	1.04558i
$508$	−16.6004	−	3.61120i	−0.736524	−	0.160221i
$509$	0.380645	+	0.0547284i	0.0168718	+	0.00242579i	0.150746	−	0.988573i	$-0.451833\pi$
$509$	0.380645	+	0.0547284i	0.0168718	+	0.00242579i	−0.133874	+	0.990998i	$0.542742\pi$
$510$	5.39254	+	2.75374i	0.238786	+	0.121938i
$511$	−8.18197	−	27.8652i	−0.361949	−	1.23269i
$512$	0.936950	+	0.349464i	0.0414077	+	0.0154443i
$513$	94.1032	+	6.73039i	4.15476	+	0.297154i
$514$	−1.56930	+	0.225631i	−0.0692188	+	0.00995217i
$515$	23.8815	+	8.16235i	1.05234	+	0.359676i
$516$	10.5498	+	9.14149i	0.464431	+	0.402431i
$517$	−0.998149	−	4.58842i	−0.0438985	−	0.201798i
$518$	−2.05630	−	9.45265i	−0.0903485	−	0.415325i
$519$	−58.1615	−	50.3972i	−2.55301	−	2.21219i
$520$	3.52315	−	1.72829i	0.154500	−	0.0757903i
$521$	20.9027	−	3.00536i	0.915765	−	0.131667i	0.331710	−	0.943381i	$-0.392374\pi$
$521$	20.9027	−	3.00536i	0.915765	−	0.131667i	0.584055	+	0.811714i	$0.301465\pi$
$522$	23.7543	+	1.69894i	1.03970	+	0.0743607i
$523$	−1.77957	−	0.663744i	−0.0778150	−	0.0290235i	0.310255	−	0.950653i	$-0.399585\pi$
$523$	−1.77957	−	0.663744i	−0.0778150	−	0.0290235i	−0.388070	+	0.921630i	$0.626858\pi$
$524$	−3.71845	−	12.6639i	−0.162441	−	0.553224i
$525$	−33.2960	+	58.7127i	−1.45316	+	2.56243i
$526$	−14.6971	−	2.11312i	−0.640823	−	0.0921364i
$527$	2.76178	+	0.600789i	0.120305	+	0.0261708i
$528$	2.67074	−	2.67074i	0.116229	−	0.116229i
$529$	11.1398	+	20.1222i	0.484339	+	0.874880i
$530$	11.1246	−	10.1917i	0.483222	−	0.442698i
$531$	24.1295	−	15.5071i	1.04713	−	0.672949i
$532$	12.8695	+	17.1916i	0.557963	+	0.745351i
$533$	3.89746	−	1.45368i	0.168818	−	0.0629657i
$534$	10.0079	−	2.93859i	0.433085	−	0.127165i
$535$	−27.3457	+	11.0702i	−1.18226	+	0.478608i
$536$	1.00384	−	0.869832i	0.0433593	−	0.0375710i
$537$	−28.6415	−	21.4408i	−1.23597	−	0.925237i
$538$	5.68041	+	10.4029i	0.244900	+	0.448501i
$539$	−6.76317	+	7.80512i	−0.291311	+	0.336190i
$540$	22.7942	−	32.2729i	0.980905	−	1.38881i
$541$	21.2307	+	13.6442i	0.912781	+	0.586609i	0.910555	−	0.413389i	$-0.135655\pi$
$541$	21.2307	+	13.6442i	0.912781	+	0.586609i	0.00222653	+	0.999998i	$0.499291\pi$
$542$	−1.00841	−	14.0995i	−0.0433151	−	0.605624i
$543$	−18.3268	+	10.0072i	−0.786476	+	0.429449i
$544$	−0.114820	−	0.798589i	−0.00492286	−	0.0342392i
$545$	0.382856	−	3.31047i	0.0163998	−	0.141805i
$546$	21.5500	−	9.84156i	0.922256	−	0.421180i
$547$	−16.6046	+	30.4091i	−0.709963	+	1.30020i	0.234671	+	0.972075i	$0.424599\pi$
$547$	−16.6046	+	30.4091i	−0.709963	+	1.30020i	−0.944634	+	0.328126i	$0.893583\pi$
$548$	−1.18484	−	3.17667i	−0.0506137	−	0.135701i
$549$	13.8056	−	96.0203i	0.589210	−	4.09805i
$550$	1.67183	−	5.37263i	0.0712870	−	0.229090i
$551$		−	15.3852i		−	0.655432i
$552$	−8.17317	+	13.8668i	−0.347873	+	0.590209i
$553$	−26.3033	−	26.3033i	−1.11853	−	1.11853i
$554$	−12.6003	−	19.6064i	−0.535334	−	0.832996i
$555$	10.1750	+	14.9092i	0.431904	+	0.632860i
$556$	−1.04862	+	2.29617i	−0.0444716	+	0.0973792i
$557$	3.47955	+	1.89998i	0.147433	+	0.0805045i	0.551272	−	0.834326i	$-0.314143\pi$
$557$	3.47955	+	1.89998i	0.147433	+	0.0805045i	−0.403839	+	0.914830i	$0.632324\pi$
$558$	10.1179	−	27.1273i	0.428327	−	1.14839i
$559$	−4.77998	−	5.51639i	−0.202172	−	0.233319i
$560$	8.94960	−	0.889466i	0.378190	−	0.0375868i
$561$	−2.92385	−	0.858519i	−0.123445	−	0.0362467i
$562$	9.04340	−	0.646797i	0.381473	−	0.0272835i
$563$	−5.49198	+	1.19471i	−0.231460	+	0.0503509i	−0.326799	−	0.945094i	$-0.605970\pi$
$563$	−5.49198	+	1.19471i	−0.231460	+	0.0503509i	0.0953394	+	0.995445i	$0.469606\pi$
$564$	−7.57155	+	11.7816i	−0.318820	+	0.496093i
$565$	−6.74715	+	7.13114i	−0.283855	+	0.300009i
$566$	2.17136	−	7.39496i	0.0912689	−	0.310833i
$567$	83.1839	−	111.121i	3.49340	−	4.66663i
$568$	1.10158	−	15.4021i	0.0462212	−	0.646257i
$569$	−0.0158620	−	0.0347329i	−0.000664969	−	0.00145608i	0.909299	−	0.416143i	$-0.136618\pi$
$569$	−0.0158620	−	0.0347329i	−0.000664969	−	0.00145608i	−0.909964	+	0.414687i	$0.863891\pi$
$570$	−34.2957	−	20.7231i	−1.43649	−	0.867996i
$571$	33.6959	+	15.3884i	1.41013	+	0.643985i	0.967535	−	0.252736i	$-0.0813305\pi$
$571$	33.6959	+	15.3884i	1.41013	+	0.643985i	0.442595	+	0.896721i	$0.354058\pi$
$572$	−1.58103	+	1.18354i	−0.0661061	+	0.0494864i
$573$	14.1619	−	65.1013i	0.591623	−	2.71965i
$574$	9.53343			0.397918
$575$	−1.17148	+	23.9505i	−0.0488540	+	0.998806i
$576$	−8.26469			−0.344362
$577$	5.07853	−	23.3456i	0.211422	−	0.971891i	−0.742035	−	0.670361i	$-0.766139\pi$
$577$	5.07853	−	23.3456i	0.211422	−	0.971891i	0.953457	−	0.301530i	$-0.0974973\pi$
$578$	13.0881	−	9.79763i	0.544393	−	0.407528i
$579$	49.5358	+	22.6222i	2.05864	+	0.940148i
$580$	−5.51472	−	3.33227i	−0.228986	−	0.138365i
$581$	7.50327	+	16.4299i	0.311288	+	0.681626i
$582$	−4.45646	+	62.3095i	−0.184726	+	2.58281i
$583$	−4.55031	+	6.07851i	−0.188455	+	0.251746i
$584$	2.03425	−	6.92803i	0.0841780	−	0.286684i
$585$	−22.2902	+	23.5588i	−0.921587	+	0.974035i
$586$	−1.67293	+	2.60313i	−0.0691081	+	0.107534i
$587$	−46.1163	+	10.0320i	−1.90342	+	0.414065i	−0.999895	−	0.0144611i	$-0.995397\pi$
$587$	−46.1163	+	10.0320i	−1.90342	+	0.414065i	−0.903530	+	0.428526i	$0.859033\pi$
$588$	30.7232	−	2.19737i	1.26700	−	0.0906179i
$589$	−17.9467	−	5.26963i	−0.739481	−	0.217131i
$590$	−7.72226	+	0.767486i	−0.317921	+	0.0315969i
$591$	16.1001	+	18.5805i	0.662271	+	0.764302i
$592$	0.840511	−	2.25350i	0.0345448	−	0.0926181i
$593$	−24.9575	−	13.6278i	−1.02488	−	0.559628i	−0.123361	−	0.992362i	$-0.539367\pi$
$593$	−24.9575	−	13.6278i	−1.02488	−	0.559628i	−0.901522	+	0.432734i	$0.857549\pi$
$594$	−8.26041	+	18.0878i	−0.338929	+	0.742150i
$595$	−4.09028	−	5.99341i	−0.167685	−	0.245706i
$596$	−5.53351	−	8.61031i	−0.226661	−	0.352692i
$597$	−3.44308	−	3.44308i	−0.140916	−	0.140916i
$598$	5.26206	−	6.56877i	0.215181	−	0.268617i
$599$		−	1.22147i		−	0.0499078i	−0.999689	−	0.0249539i	$-0.992056\pi$
$599$		−	1.22147i		−	0.0499078i	0.999689	−	0.0249539i	$-0.00794390\pi$
$600$	−14.8561	+	7.80466i	−0.606499	+	0.318624i
$601$	0.561196	−	3.90321i	0.0228917	−	0.159215i	−0.975169	−	0.221461i	$-0.928917\pi$
$601$	0.561196	−	3.90321i	0.0228917	−	0.159215i	0.998061	+	0.0622463i	$0.0198264\pi$
$602$	−5.84607	−	15.6739i	−0.238268	−	0.638821i
$603$	−5.26107	+	9.63493i	−0.214247	+	0.392365i
$604$	6.68036	−	3.05082i	0.271820	−	0.124136i
$605$	2.50046	−	21.6209i	0.101658	−	0.879013i
$606$	7.06983	+	49.1718i	0.287192	+	1.99747i
$607$	15.6912	−	8.56803i	0.636885	−	0.347765i	−0.128150	−	0.991755i	$-0.540904\pi$
$607$	15.6912	−	8.56803i	0.636885	−	0.347765i	0.765034	+	0.643989i	$0.222722\pi$
$608$	0.380897	+	5.32564i	0.0154474	+	0.215983i
$609$	−32.7238	−	21.0303i	−1.32603	−	0.852190i
$610$	−15.1416	+	21.4381i	−0.613064	+	0.868001i
$611$	4.79551	−	5.53431i	0.194005	−	0.223894i
$612$	3.19562	+	5.85233i	0.129175	+	0.236567i
$613$	28.6038	+	21.4125i	1.15529	+	0.864843i	0.992551	−	0.121826i	$-0.0388749\pi$
$613$	28.6038	+	21.4125i	1.15529	+	0.864843i	0.162743	+	0.986668i	$0.447966\pi$
$614$	0.121386	−	0.105182i	0.00489876	−	0.00424480i
$615$	−16.4887	+	6.67505i	−0.664888	+	0.269164i
$616$	−4.34292	+	1.27520i	−0.174981	+	0.0513791i
$617$	18.1861	−	6.78308i	0.732147	−	0.273077i	0.0443863	−	0.999014i	$-0.485867\pi$
$617$	18.1861	−	6.78308i	0.732147	−	0.273077i	0.687760	+	0.725938i	$0.258594\pi$
$618$	22.7015	+	30.3257i	0.913190	+	1.21988i
$619$	−6.27874	+	4.03510i	−0.252364	+	0.162184i	−0.660706	−	0.750644i	$-0.729743\pi$
$619$	−6.27874	+	4.03510i	−0.252364	+	0.162184i	0.408343	+	0.912829i	$0.366107\pi$
$620$	−5.77592	+	5.29153i	−0.231966	+	0.212513i
$621$	14.8039	−	83.4385i	0.594059	−	3.34827i
$622$	−11.3832	+	11.3832i	−0.456424	+	0.456424i
$623$	−12.2139	−	2.65698i	−0.489341	−	0.106450i
$624$	5.83023	+	0.838260i	0.233396	+	0.0335573i
$625$	−14.1852	+	20.5859i	−0.567408	+	0.823437i
$626$	−6.06913	−	20.6696i	−0.242571	−	0.826122i
$627$	18.8948	+	7.04740i	0.754586	+	0.281446i
$628$	6.88035	+	0.492092i	0.274556	+	0.0196366i
$629$	−1.92072	+	0.276158i	−0.0765841	+	0.0110111i
$630$	−66.7332	+	32.7360i	−2.65871	+	1.30423i
$631$	−33.4345	−	28.9712i	−1.33101	−	1.15332i	−0.975832	−	0.218524i	$-0.929876\pi$
$631$	−33.4345	−	28.9712i	−1.33101	−	1.15332i	−0.355175	−	0.934800i	$-0.615579\pi$
$632$	−1.96592	−	9.03717i	−0.0782000	−	0.359480i
$633$	−11.5291	−	52.9985i	−0.458242	−	2.10650i
$634$	−8.04609	−	6.97198i	−0.319551	−	0.276893i
$635$	−35.9462	−	12.2859i	−1.42648	−	0.487551i
$636$	22.4152	−	3.22282i	0.888822	−	0.127793i
$637$	−16.0648	−	1.14898i	−0.636512	−	0.0455242i
$638$	3.03827	+	1.13322i	0.120286	+	0.0448645i
$639$	35.9543	+	122.449i	1.42233	+	4.84401i
$640$	1.99144	+	1.01694i	0.0787185	+	0.0401982i
$641$	−43.9428	−	6.31803i	−1.73564	−	0.249547i	−0.799371	−	0.600838i	$-0.794834\pi$
$641$	−43.9428	−	6.31803i	−1.73564	−	0.249547i	−0.936266	+	0.351291i	$0.885743\pi$
$642$	−43.2691	−	9.41262i	−1.70769	−	0.371486i
$643$	−6.37779	+	6.37779i	−0.251515	+	0.251515i	−0.821592	−	0.570076i	$-0.806914\pi$
$643$	−6.37779	+	6.37779i	−0.251515	+	0.251515i	0.570076	+	0.821592i	$0.306914\pi$
$644$	16.5604	−	9.89090i	0.652573	−	0.389756i
$645$	21.0856	+	23.0158i	0.830245	+	0.906245i
$646$	3.62388	−	2.32892i	0.142579	−	0.0916303i
$647$	26.7356	+	35.7146i	1.05108	+	1.40408i	0.910254	+	0.414050i	$0.135886\pi$
$647$	26.7356	+	35.7146i	1.05108	+	1.40408i	0.140830	+	0.990034i	$0.455023\pi$
$648$	32.3351	−	12.0604i	1.27024	−	0.473776i
$649$	3.74733	−	1.10032i	0.147096	−	0.0431912i
$650$	8.26982	−	2.93392i	0.324369	−	0.115078i
$651$	−35.7399	+	30.9688i	−1.40076	+	1.21376i
$652$	−6.38052	−	4.77640i	−0.249881	−	0.187058i
$653$	2.21675	+	4.05967i	0.0867480	+	0.158867i	0.917451	−	0.397849i	$-0.130243\pi$
$653$	2.21675	+	4.05967i	0.0867480	+	0.158867i	−0.830703	+	0.556716i	$0.812061\pi$
$654$	3.27566	−	3.78031i	0.128088	−	0.147822i
$655$	−5.00643	−	29.0850i	−0.195618	−	1.13644i
$656$	1.99399	+	1.28146i	0.0778522	+	0.0500326i
$657$	4.25719	+	59.5233i	0.166089	+	2.32222i
$658$	14.7301	−	8.04323i	0.574238	−	0.313558i
$659$	0.705668	+	4.90803i	0.0274889	+	0.191190i	0.998939	−	0.0460547i	$-0.0146649\pi$
$659$	0.705668	+	4.90803i	0.0274889	+	0.191190i	−0.971450	+	0.237244i	$0.923756\pi$
$660$	6.61849	−	5.24633i	0.257625	−	0.204213i
$661$	−32.0716	+	14.6466i	−1.24744	+	0.569687i	−0.926100	−	0.377277i	$-0.876860\pi$
$661$	−32.0716	+	14.6466i	−1.24744	+	0.569687i	−0.321340	+	0.946964i	$0.604133\pi$
$662$	13.6683	−	25.0316i	0.531234	−	0.972883i
$663$	−1.66073	−	4.45258i	−0.0644973	−	0.172924i
$664$	−0.639095	+	4.44500i	−0.0248017	+	0.172500i
$665$	24.1701	+	41.4931i	0.937278	+	1.60903i
$666$			19.8778i			0.770247i
$667$	−13.7444	−	1.43731i	−0.532185	−	0.0556528i
$668$	0.760248	+	0.760248i	0.0294149	+	0.0294149i
$669$	−34.4198	−	53.5583i	−1.33075	−	2.07068i
$670$	2.45324	−	1.67425i	0.0947770	−	0.0646819i
$671$	5.48717	−	12.0152i	0.211830	−	0.463843i
$672$	11.8481	+	6.46955i	0.457050	+	0.249568i
$673$	−9.30633	+	24.9512i	−0.358733	+	0.961799i	0.624754	+	0.780821i	$0.285199\pi$
$673$	−9.30633	+	24.9512i	−0.358733	+	0.961799i	−0.983487	+	0.180978i	$0.942074\pi$
$674$	11.9088	+	13.7435i	0.458712	+	0.529381i
$675$	58.9224	−	65.8311i	2.26792	−	2.53384i
$676$	9.51825	+	2.79481i	0.366087	+	0.107493i
$677$	22.5473	−	1.61261i	0.866562	−	0.0619777i	0.369024	−	0.929420i	$-0.379692\pi$
$677$	22.5473	−	1.61261i	0.866562	−	0.0619777i	0.497538	+	0.867442i	$0.334237\pi$
$678$	−14.3986	+	3.13223i	−0.552977	+	0.120293i
$679$	40.4729	−	62.9771i	1.55321	−	2.41684i
$680$	−0.0498958	−	1.80337i	−0.00191342	−	0.0691562i
$681$	12.4828	−	42.5124i	0.478341	−	1.62908i
$682$	2.36253	−	3.15597i	0.0904660	−	0.120848i
$683$	0.401705	−	5.61656i	0.0153708	−	0.214912i	−0.983962	−	0.178380i	$-0.942914\pi$
$683$	0.401705	−	5.61656i	0.0153708	−	0.214912i	0.999332	−	0.0365319i	$-0.0116311\pi$
$684$	−18.3311	−	40.1395i	−0.700907	−	1.53477i
$685$	−1.81578	−	7.36059i	−0.0693774	−	0.281234i
$686$	−7.96595	−	3.63793i	−0.304141	−	0.138897i
$687$	−1.96551	+	1.47136i	−0.0749889	+	0.0561360i
$688$	0.884098	−	4.06413i	0.0337059	−	0.154944i
$689$	−11.8412			−0.451114
$690$	−21.7170	+	28.7021i	−0.826752	+	1.09267i
$691$	25.2537			0.960697			0.480348	−	0.877078i	$-0.340510\pi$
$691$	25.2537			0.960697			0.480348	+	0.877078i	$0.340510\pi$
$692$	−4.87405	+	22.4057i	−0.185284	+	0.851736i
$693$	29.9468	−	22.4179i	1.13758	−	0.851585i
$694$	−9.51022	−	4.34317i	−0.361003	−	0.164865i
$695$	−2.91913	+	4.83101i	−0.110729	+	0.183251i
$696$	−4.01759	−	8.79729i	−0.152286	−	0.333461i
$697$	0.136424	−	1.90746i	0.00516743	−	0.0722501i
$698$	−6.69614	+	8.94499i	−0.253453	+	0.338573i
$699$	−20.8633	+	71.0540i	−0.789124	+	2.68751i
$700$	20.1079	+	0.323319i	0.760008	+	0.0122203i
$701$	−27.5461	+	42.8626i	−1.04040	+	1.61890i	−0.291074	+	0.956701i	$0.594013\pi$
$701$	−27.5461	+	42.8626i	−1.04040	+	1.61890i	−0.749329	+	0.662198i	$0.769624\pi$
$702$	−30.3013	+	6.59165i	−1.14365	+	0.248786i
$703$	12.8089	−	0.916112i	0.483097	−	0.0345518i
$704$	−1.07976	−	0.317047i	−0.0406951	−	0.0119492i
$705$	−19.8450	+	24.2249i	−0.747404	+	0.912362i
$706$	−6.17230	−	7.12321i	−0.232297	−	0.268086i
$707$	20.8044	−	55.7787i	0.782430	−	2.09778i
$708$	−10.2233	−	5.58232i	−0.384214	−	0.209797i
$709$	13.4931	−	29.5458i	0.506744	−	1.10962i	−0.467474	−	0.884007i	$-0.654836\pi$
$709$	13.4931	−	29.5458i	0.506744	−	1.10962i	0.974218	−	0.225608i	$-0.0724369\pi$
$710$	6.40352	−	33.9291i	0.240320	−	1.27334i
$711$	41.3246	+	64.3023i	1.54979	+	2.41152i
$712$	−2.19749	−	2.19749i	−0.0823546	−	0.0823546i
$713$	−6.38424	+	15.5404i	−0.239092	+	0.581993i
$714$		−	10.8913i		−	0.407596i
$715$	−3.81592	+	2.22281i	−0.142707	+	0.0831284i
$716$	−1.51706	+	10.5514i	−0.0566952	+	0.394324i
$717$	0.570755	+	1.53025i	0.0213152	+	0.0571484i
$718$	−6.73269	+	12.3300i	−0.251262	+	0.460152i
$719$	−14.0335	+	6.40887i	−0.523360	+	0.239011i	−0.659534	−	0.751674i	$-0.729247\pi$
$719$	−14.0335	+	6.40887i	−0.523360	+	0.239011i	0.136174	+	0.990685i	$0.456519\pi$
$720$	−18.3581	−	2.12311i	−0.684164	−	0.0791237i
$721$	−6.46057	−	44.9343i	−0.240604	−	1.67344i
$722$	−8.34455	+	4.55647i	−0.310552	+	0.169574i
$723$	−3.63448	−	50.8166i	−0.135168	−	1.88989i
$724$	5.23380	+	3.36356i	0.194513	+	0.125006i
$725$	−11.3936	−	8.81851i	−0.423149	−	0.327511i
$726$	21.3935	−	24.6894i	0.793987	−	0.916310i
$727$	−2.57514	−	4.71602i	−0.0955066	−	0.174907i	0.825558	−	0.564318i	$-0.190861\pi$
$727$	−2.57514	−	4.71602i	−0.0955066	−	0.174907i	−0.921064	+	0.389410i	$0.872679\pi$
$728$	−5.65075	−	4.23010i	−0.209431	−	0.156778i
$729$	−81.0979	+	70.2717i	−3.00363	+	2.60266i
$730$	6.29835	−	14.8664i	0.233112	−	0.550230i
$731$	−3.21971	+	0.945392i	−0.119085	+	0.0349666i
$732$	−36.9110	+	13.7671i	−1.36427	+	0.508846i
$733$	3.76683	+	5.03190i	0.139131	+	0.185857i	0.864695	−	0.502298i	$-0.167512\pi$
$733$	3.76683	+	5.03190i	0.139131	+	0.185857i	−0.725564	+	0.688155i	$0.758421\pi$
$734$	7.41420	−	4.76482i	0.273663	−	0.175873i
$735$	68.8088	+	3.01154i	2.53805	+	0.111082i
$736$	4.79325	+	0.157254i	0.176682	+	0.00579646i
$737$	−1.05696	+	1.05696i	−0.0389336	+	0.0389336i
$738$	−19.1418	−	4.16404i	−0.704619	−	0.153281i
$739$	−52.0089	−	7.47775i	−1.91318	−	0.275073i	−0.920022	−	0.391868i	$-0.871829\pi$
$739$	−52.0089	−	7.47775i	−1.91318	−	0.275073i	−0.993156	+	0.116794i	$0.962738\pi$
$740$	2.44589	−	4.78969i	0.0899129	−	0.176072i
$741$	8.86024	+	30.1752i	0.325489	+	1.10851i
$742$	−25.4271	−	9.48380i	−0.933457	−	0.348161i
$743$	−45.6968	−	3.26830i	−1.67645	−	0.119902i	−0.799559	−	0.600587i	$-0.794934\pi$
$743$	−45.6968	−	3.26830i	−1.67645	−	0.119902i	−0.876894	+	0.480685i	$0.840388\pi$
$744$	−11.6380	+	1.67330i	−0.426671	+	0.0613460i
$745$	−10.0795	−	20.5473i	−0.369284	−	0.752793i
$746$	−1.86744	−	1.61814i	−0.0683717	−	0.0592445i
$747$	−7.88922	−	36.2662i	−0.288652	−	1.32691i
$748$	0.192995	+	0.887183i	0.00705659	+	0.0324386i
$749$	40.1041	+	34.7504i	1.46537	+	1.26975i
$750$	−35.0043	+	13.5198i	−1.27818	+	0.493674i
$751$	−34.2466	+	4.92392i	−1.24968	+	0.179676i	−0.735213	−	0.677836i	$-0.762918\pi$
$751$	−34.2466	+	4.92392i	−1.24968	+	0.179676i	−0.514463	+	0.857512i	$0.672009\pi$
$752$	4.16206	+	0.297676i	0.151775	+	0.0108551i
$753$	7.87625	+	2.93769i	0.287026	+	0.107055i
$754$	1.42472	+	4.85215i	0.0518853	+	0.176705i
$755$	15.6226	−	5.06056i	0.568563	−	0.184172i
$756$	−70.3465	−	10.1143i	−2.55848	−	0.367854i
$757$	38.2518	+	8.32118i	1.39029	+	0.302438i	0.844531	−	0.535506i	$-0.179879\pi$
$757$	38.2518	+	8.32118i	1.39029	+	0.302438i	0.545755	+	0.837945i	$0.316243\pi$
$758$	20.5501	−	20.5501i	0.746414	−	0.746414i
$759$	8.06098	−	16.2213i	0.292595	−	0.588797i
$760$	−0.522027	+	11.9275i	−0.0189359	+	0.432656i
$761$	−29.6283	+	19.0409i	−1.07402	+	0.690233i	−0.953169	−	0.302437i	$-0.902200\pi$
$761$	−29.6283	+	19.0409i	−1.07402	+	0.690233i	−0.120854	+	0.992670i	$0.538563\pi$
$762$	−34.1701	−	45.6460i	−1.23785	−	1.65358i
$763$	−5.61642	+	2.09481i	−0.203328	+	0.0758374i
$764$	−19.0464	+	5.59252i	−0.689073	+	0.202330i
$765$	5.59490	+	13.8205i	0.202284	+	0.499681i
$766$	−0.600500	+	0.520336i	−0.0216969	+	0.0188005i
$767$	4.87581	+	3.64999i	0.176055	+	0.131793i
$768$	1.60850	+	2.94575i	0.0580417	+	0.106295i
$769$	7.93536	−	9.15790i	0.286157	−	0.330242i	−0.594412	−	0.804160i	$-0.702615\pi$
$769$	7.93536	−	9.15790i	0.286157	−	0.330242i	0.880569	+	0.473918i	$0.157161\pi$
$770$	−9.97434	+	1.71689i	−0.359450	+	0.0618726i
$771$	−4.47647	−	2.87685i	−0.161216	−	0.103607i
$772$	−1.15750	−	16.1840i	−0.0416594	−	0.582475i
$773$	16.7429	−	9.14229i	0.602199	−	0.328825i	−0.149065	−	0.988827i	$-0.547626\pi$
$773$	16.7429	−	9.14229i	0.602199	−	0.328825i	0.751264	+	0.660002i	$0.229445\pi$
$774$	4.89198	+	34.0245i	0.175839	+	1.22299i
$775$	−14.1892	+	10.2701i	−0.509690	+	0.368913i
$776$	16.9304	−	7.73187i	0.607767	−	0.277558i
$777$	15.5602	−	28.4963i	0.558218	−	1.02230i
$778$	8.88028	+	23.8089i	0.318373	+	0.853592i
$779$	−1.80105	+	12.5266i	−0.0645294	+	0.448811i
$780$	12.7351	+	3.35972i	0.455991	+	0.120297i
$781$			17.3770i			0.621796i
$782$	−1.74200	−	3.45497i	−0.0622938	−	0.123549i
$783$	36.0032	+	36.0032i	1.28665	+	1.28665i
$784$	−4.96162	−	7.72044i	−0.177201	−	0.275730i
$785$	15.1567	+	2.86056i	0.540964	+	0.102098i
$786$	18.4021	−	40.2949i	0.656380	−	1.43727i
$787$	−20.5907	−	11.2433i	−0.733978	−	0.400782i	0.0683536	−	0.997661i	$-0.478225\pi$
$787$	−20.5907	−	11.2433i	−0.733978	−	0.400782i	−0.802331	+	0.596879i	$0.796407\pi$
$788$	2.55990	−	6.86337i	0.0911928	−	0.244497i
$789$	−32.6349	−	37.6627i	−1.16183	−	1.34083i
$790$	−2.04526	−	20.5790i	−0.0727672	−	0.732167i
$791$	16.9433	+	4.97499i	0.602433	+	0.176890i
$792$	9.27695	−	0.663501i	0.329642	−	0.0235765i
$793$	20.1284	−	4.37866i	0.714779	−	0.155491i
$794$	2.57852	−	4.01225i	0.0915082	−	0.142390i
$795$	50.6180	−	1.40050i	1.79524	−	0.0496707i
$796$	−0.408733	+	1.39202i	−0.0144871	+	0.0493387i
$797$	3.03770	−	4.05790i	0.107601	−	0.143738i	−0.743508	−	0.668727i	$-0.766840\pi$
$797$	3.03770	−	4.05790i	0.107601	−	0.143738i	0.851109	+	0.524989i	$0.175930\pi$
$798$	−5.14186	+	71.8927i	−0.182020	+	2.54497i
$799$	−1.39851	−	3.06231i	−0.0494757	−	0.108337i
$800$	4.16226	+	2.77048i	0.147158	+	0.0979512i
$801$	23.3633	+	10.6697i	0.825503	+	0.376995i
$802$	3.65927	−	2.73930i	0.129213	−	0.0967280i
$803$	−1.72722	+	7.93989i	−0.0609522	+	0.280193i
$804$	4.45806			0.157224
$805$	39.3259	−	17.7161i	1.38606	−	0.624410i
$806$	6.14798			0.216553
$807$	−8.45611	+	38.8721i	−0.297669	+	1.36836i
$808$	11.8490	−	8.87008i	0.416848	−	0.312048i
$809$	15.0856	+	6.88935i	0.530381	+	0.242217i	0.662560	−	0.749009i	$-0.269470\pi$
$809$	15.0856	+	6.88935i	0.530381	+	0.242217i	−0.132179	+	0.991226i	$0.542197\pi$
$810$	74.9230	−	18.4827i	2.63253	−	0.649417i
$811$	−2.95071	−	6.46116i	−0.103614	−	0.226882i	0.850724	−	0.525613i	$-0.176164\pi$
$811$	−2.95071	−	6.46116i	−0.103614	−	0.226882i	−0.954337	+	0.298731i	$0.903437\pi$
$812$	−0.826808	+	11.5603i	−0.0290153	+	0.405687i
$813$	28.4314	−	37.9799i	0.997133	−	1.33201i
$814$	−0.762543	+	2.59698i	−0.0267271	+	0.0910242i
$815$	−12.9458	−	12.2487i	−0.453472	−	0.429054i
$816$	1.46398	−	2.27800i	0.0512496	−	0.0797459i
$817$	21.6994	−	4.72042i	0.759166	−	0.165146i
$818$	−5.28262	+	0.377821i	−0.184703	+	0.0132102i
$819$	55.9746	+	16.4356i	1.95591	+	0.574307i
$820$	4.09998	+	3.35869i	0.143178	+	0.117291i
$821$	−23.9530	−	27.6432i	−0.835966	−	0.964756i	0.163798	−	0.986494i	$-0.447625\pi$
$821$	−23.9530	−	27.6432i	−0.835966	−	0.964756i	−0.999764	+	0.0217382i	$0.993080\pi$
$822$	3.97665	−	10.6618i	0.138702	−	0.371874i
$823$	−36.1865	−	19.7593i	−1.26138	−	0.688767i	−0.297405	−	0.954751i	$-0.596121\pi$
$823$	−36.1865	−	19.7593i	−1.26138	−	0.688767i	−0.963977	+	0.265984i	$0.914303\pi$
$824$	4.68867	−	10.2668i	0.163338	−	0.357660i
$825$	16.0491	−	9.95325i	0.558759	−	0.346528i
$826$	7.54668	+	11.7429i	0.262583	+	0.408586i
$827$	−8.59770	−	8.59770i	−0.298971	−	0.298971i	0.541640	−	0.840611i	$-0.317804\pi$
$827$	−8.59770	−	8.59770i	−0.298971	−	0.298971i	−0.840611	+	0.541640i	$0.817804\pi$
$828$	−37.5712	+	12.6262i	−1.30569	+	0.438792i
$829$		−	15.6632i		−	0.544005i	−0.962297	−	0.272002i	$-0.912314\pi$
$829$		−	15.6632i		−	0.544005i	0.962297	−	0.272002i	$-0.0876859\pi$
$830$	−2.56147	+	9.70934i	−0.0889100	+	0.337016i
$831$	11.1322	−	77.4261i	0.386171	−	2.68588i
$832$	−0.613298	−	1.64432i	−0.0212623	−	0.0570064i
$833$	−3.54848	+	6.49856i	−0.122948	+	0.225162i
$834$	−7.70661	+	3.51949i	−0.266858	+	0.121870i
$835$	1.49341	+	1.88401i	0.0516816	+	0.0651988i
$836$	−0.855099	−	5.94735i	−0.0295742	−	0.205693i
$837$	54.3290	−	29.6659i	1.87788	−	1.02540i
$838$	2.39373	+	33.4687i	0.0826899	+	1.15616i
$839$	5.83932	+	3.75270i	0.201596	+	0.129558i	0.637544	−	0.770414i	$-0.279951\pi$
$839$	5.83932	+	3.75270i	0.201596	+	0.129558i	−0.435948	+	0.899972i	$0.643587\pi$
$840$	24.6558	+	17.4142i	0.850705	+	0.600847i
$841$	−13.5535	+	15.6416i	−0.467362	+	0.539365i
$842$	4.28095	+	7.83997i	0.147531	+	0.270183i
$843$	24.3603	+	18.2359i	0.839014	+	0.628078i
$844$	−12.2130	+	10.5826i	−0.420389	+	0.364269i
$845$	20.4246	+	8.65315i	0.702627	+	0.297677i
$846$	−33.0891	+	9.71583i	−1.13763	+	0.334037i
$847$	−36.6811	+	13.6813i	−1.26038	+	0.470097i
$848$	−4.04348	−	5.40145i	−0.138854	−	0.185487i
$849$	21.7611	−	13.9850i	0.746839	−	0.479964i
$850$	0.352436	−	4.01858i	0.0120884	−	0.137836i
$851$	0.378218	−	11.5284i	0.0129652	−	0.395190i
$852$	36.6464	−	36.6464i	1.25549	−	1.25549i
$853$	−12.0085	−	2.61229i	−0.411163	−	0.0894430i	0.00222628	−	0.999998i	$-0.499291\pi$
$853$	−12.0085	−	2.61229i	−0.411163	−	0.0894430i	−0.413389	+	0.910555i	$0.635655\pi$
$854$	46.7293	+	6.71866i	1.59904	+	0.229908i
$855$	−30.4068	−	93.8695i	−1.03989	−	3.21027i
$856$	3.71702	+	12.6590i	0.127045	+	0.432676i
$857$	−31.7083	−	11.8266i	−1.08314	−	0.403989i	−0.256395	−	0.966572i	$-0.582535\pi$
$857$	−31.7083	−	11.8266i	−1.08314	−	0.403989i	−0.826741	+	0.562583i	$0.809808\pi$
$858$	−6.61161	−	0.472872i	−0.225717	−	0.0161436i
$859$	45.5682	−	6.55171i	1.55477	−	0.223542i	0.689287	−	0.724488i	$-0.257924\pi$
$859$	45.5682	−	6.55171i	1.55477	−	0.223542i	0.865478	+	0.500947i	$0.167015\pi$
$860$	3.00785	−	8.80039i	0.102567	−	0.300091i
$861$	24.1817	+	20.9536i	0.824110	+	0.714095i
$862$	5.76663	+	26.5087i	0.196412	+	0.902892i
$863$	1.31001	+	6.02201i	0.0445932	+	0.204992i	0.994053	−	0.108897i	$-0.0347318\pi$
$863$	1.31001	+	6.02201i	0.0445932	+	0.204992i	−0.949460	+	0.313889i	$0.898368\pi$
$864$	−13.3540	−	11.5713i	−0.454311	−	0.393663i
$865$	−16.5823	+	48.5168i	−0.563816	+	1.64962i
$866$	−11.8095	+	1.69796i	−0.401304	+	0.0576989i
$867$	54.7324	+	3.91454i	1.85881	+	0.132945i
$868$	13.2018	+	4.92401i	0.448097	+	0.167132i
$869$	2.93222	+	9.98622i	0.0994687	+	0.338759i
$870$	−6.66419	−	20.5732i	−0.225937	−	0.697496i
$871$	−2.30734	−	0.331746i	−0.0781814	−	0.0112408i
$872$	−1.45630	−	0.316798i	−0.0493164	−	0.0107281i
$873$	−108.771	+	108.771i	−3.68135	+	3.68135i
$874$	9.86770	+	23.6284i	0.333780	+	0.799243i
$875$	44.5819	+	5.88369i	1.50714	+	0.198905i
$876$	20.3871	−	13.1020i	0.688815	−	0.442674i
$877$	−14.3784	−	19.2073i	−0.485525	−	0.648586i	0.489153	−	0.872198i	$-0.337306\pi$
$877$	−14.3784	−	19.2073i	−0.485525	−	0.648586i	−0.974678	+	0.223612i	$0.928215\pi$
$878$	25.6613	−	9.57118i	0.866028	−	0.323012i
$879$	−9.96484	+	2.92594i	−0.336106	+	0.0986895i
$880$	−2.31699	−	0.981624i	−0.0781057	−	0.0330905i
$881$	−20.1930	+	17.4974i	−0.680320	+	0.589501i	−0.924938	−	0.380119i	$-0.875883\pi$
$881$	−20.1930	+	17.4974i	−0.680320	+	0.589501i	0.244617	+	0.969620i	$0.421338\pi$
$882$	60.7191	+	45.4538i	2.04452	+	1.53051i
$883$	23.4859	+	43.0112i	0.790363	+	1.44744i	0.891718	+	0.452591i	$0.149500\pi$
$883$	23.4859	+	43.0112i	0.790363	+	1.44744i	−0.101356	+	0.994850i	$0.532318\pi$
$884$	−0.927224	+	1.07007i	−0.0311859	+	0.0359905i
$885$	−21.2745	−	15.0261i	−0.715135	−	0.505095i
$886$	−15.5922	−	10.0205i	−0.523829	−	0.336644i
$887$	0.650170	+	9.09057i	0.0218306	+	0.305232i	0.996623	+	0.0821166i	$0.0261680\pi$
$887$	0.650170	+	9.09057i	0.0218306	+	0.305232i	−0.974792	+	0.223115i	$0.928377\pi$
$888$	7.08494	−	3.86867i	0.237755	−	0.129824i
$889$	9.72439	+	67.6346i	0.326145	+	2.26839i
$890$	−4.31670	−	5.44572i	−0.144696	−	0.182541i
$891$	−35.3273	+	16.1334i	−1.18351	+	0.540491i
$892$	−9.09079	+	16.6485i	−0.304382	+	0.557434i
$893$	7.78572	+	20.8743i	0.260539	+	0.698532i
$894$	4.88879	−	34.0023i	0.163506	−	1.13721i
$895$	−6.08033	+	23.0477i	−0.203243	+	0.770399i
$896$		−	4.02210i		−	0.134369i
$897$	27.7848	−	5.09630i	0.927708	−	0.170160i
$898$	−11.8958	−	11.8958i	−0.396967	−	0.396967i
$899$	−5.45752	−	8.49207i	−0.182019	−	0.283226i
$900$	−40.2327	−	9.43198i	−1.34109	−	0.314399i
$901$	−2.26139	+	4.95175i	−0.0753378	+	0.164967i
$902$	−2.34109	−	1.27833i	−0.0779498	−	0.0425638i
$903$	19.6211	−	52.6062i	0.652950	−	1.75063i
$904$	2.87509	+	3.31803i	0.0956240	+	0.110356i
$905$	10.7616	+	8.81586i	0.357727	+	0.293049i
$906$	23.6502	+	6.94434i	0.785727	+	0.230710i
$907$	−51.1541	+	3.65862i	−1.69855	+	0.121482i	−0.886686	−	0.462371i	$-0.846999\pi$
$907$	−51.1541	+	3.65862i	−1.69855	+	0.121482i	−0.811859	+	0.583854i	$0.801544\pi$
$908$	−12.8995	+	2.80612i	−0.428086	+	0.0931244i
$909$	−66.1355	+	102.909i	−2.19358	+	3.41327i
$910$	−11.4651	−	10.8478i	−0.380065	−	0.359600i
$911$	−0.926807	+	3.15641i	−0.0307065	+	0.104577i	−0.973420	−	0.229026i	$-0.926446\pi$
$911$	−0.926807	+	3.15641i	−0.0307065	+	0.104577i	0.942714	+	0.333602i	$0.108264\pi$
$912$	−10.7391	+	14.3457i	−0.355607	+	0.475035i
$913$	0.360521	−	5.04074i	0.0119315	−	0.166824i
$914$	−1.99584	−	4.37028i	−0.0660165	−	0.144556i
$915$	−85.5256	+	21.0983i	−2.82739	+	0.697487i
$916$	0.665423	+	0.303888i	0.0219862	+	0.0100408i
$917$	−42.4973	+	31.8131i	−1.40338	+	1.05056i
$918$	−3.03034	+	13.9303i	−0.100016	+	0.459767i
$919$	15.1309			0.499124			0.249562	−	0.968359i	$-0.419713\pi$
$919$	15.1309			0.499124			0.249562	+	0.968359i	$0.419713\pi$
$920$	10.6067	+	1.58064i	0.349692	+	0.0521121i
$921$	0.539079			0.0177632
$922$	−3.71261	+	17.0666i	−0.122268	+	0.562058i
$923$	−21.6940	+	16.2399i	−0.714067	+	0.534544i
$924$	−13.8186	−	6.31076i	−0.454600	−	0.207609i
$925$	6.66339	−	10.0108i	0.219091	−	0.329154i
$926$	5.47883	+	11.9970i	0.180046	+	0.394245i
$927$	−6.65461	+	93.0436i	−0.218566	+	3.05595i
$928$	−1.72684	+	2.30679i	−0.0566863	+	0.0757240i
$929$	3.39678	−	11.5684i	0.111445	−	0.379546i	−0.884816	−	0.465940i	$-0.845716\pi$
$929$	3.39678	−	11.5684i	0.111445	−	0.379546i	0.996261	+	0.0863941i	$0.0275344\pi$
$930$	−26.2810	+	0.727144i	−0.861787	+	0.0238440i
$931$	26.4913	−	41.2213i	0.868218	−	1.35097i
$932$	21.5599	−	4.69007i	0.706218	−	0.153628i
$933$	−53.8928	+	3.85449i	−1.76437	+	0.126190i
$934$	−27.4156	−	8.04995i	−0.897066	−	0.263402i
$935$	0.200784	+	2.02024i	0.00656635	+	0.0660690i
$936$	9.49828	+	10.9616i	0.310461	+	0.358291i
$937$	17.7157	−	47.4977i	0.578747	−	1.55168i	−0.235932	−	0.971770i	$-0.575814\pi$
$937$	17.7157	−	47.4977i	0.578747	−	1.55168i	0.814679	−	0.579912i	$-0.196913\pi$
$938$	−4.68894	−	2.56036i	−0.153099	−	0.0835986i
$939$	30.0352	−	65.7680i	0.980163	−	2.14626i
$940$	9.16856	+	1.73041i	0.299045	+	0.0564396i
$941$	3.99751	+	6.22025i	0.130315	+	0.202774i	0.900279	−	0.435313i	$-0.143362\pi$
$941$	3.99751	+	6.22025i	0.130315	+	0.202774i	−0.769964	+	0.638087i	$0.779726\pi$
$942$	16.3705	+	16.3705i	0.533381	+	0.533381i
$943$	11.0224	+	2.77922i	0.358938	+	0.0905040i
$944$			3.47052i			0.112956i
$945$	−153.660	−	40.5378i	−4.99855	−	1.31869i
$946$	−0.666108	+	4.63289i	−0.0216571	+	0.150628i
$947$	12.6352	+	33.8762i	0.410588	+	1.10083i	0.963528	+	0.267608i	$0.0862332\pi$
$947$	12.6352	+	33.8762i	0.410588	+	1.10083i	−0.552940	+	0.833221i	$0.686494\pi$
$948$	14.8763	−	27.2438i	0.483158	−	0.884839i
$949$	−11.5266	+	5.26404i	−0.374171	+	0.170878i
$950$	−4.22361	+	26.3600i	−0.137032	+	0.855231i
$951$	−5.08530	−	35.3691i	−0.164902	−	1.14692i
$952$	−2.84810	+	1.55518i	−0.0923075	+	0.0504037i
$953$	3.66560	+	51.2518i	0.118741	+	1.66021i	0.612395	+	0.790552i	$0.290206\pi$
$953$	3.66560	+	51.2518i	0.118741	+	1.66021i	−0.493655	+	0.869658i	$0.664339\pi$
$954$	46.9116	+	30.1483i	1.51882	+	0.976086i
$955$	−43.7436	+	7.52964i	−1.41551	+	0.243653i
$956$	0.318667	−	0.367761i	0.0103064	−	0.0118942i
$957$	5.21592	+	9.55225i	0.168607	+	0.308780i
$958$	−26.6164	−	19.9248i	−0.859936	−	0.643740i
$959$	−10.3059	+	8.93012i	−0.332795	+	0.288369i
$960$	2.81617	+	6.95648i	0.0908914	+	0.224520i
$961$	17.9691	−	5.27620i	0.579648	−	0.170200i
$962$	−3.95481	+	1.47507i	−0.127508	+	0.0475581i
$963$	−65.3451	−	87.2908i	−2.10572	−	2.81291i
$964$	−12.7697	+	8.20660i	−0.411285	+	0.264317i
$965$	1.58638	−	36.2463i	0.0510674	−	1.16681i
$966$	63.7451	+	11.3098i	2.05096	+	0.363887i
$967$	−0.989496	+	0.989496i	−0.0318200	+	0.0318200i	−0.722838	−	0.691018i	$-0.757163\pi$
$967$	−0.989496	+	0.989496i	−0.0318200	+	0.0318200i	0.691018	+	0.722838i	$0.257163\pi$
$968$	−9.51115	−	2.06902i	−0.305700	−	0.0665010i
$969$	14.3108	+	2.05758i	0.459728	+	0.0660989i
$970$	39.5932	−	12.8253i	1.27126	−	0.411795i
$971$	−2.06640	−	7.03752i	−0.0663140	−	0.225845i	0.919668	−	0.392697i	$-0.128458\pi$
$971$	−2.06640	−	7.03752i	−0.0663140	−	0.225845i	−0.985982	+	0.166852i	$0.946640\pi$
$972$	58.8589	+	21.9532i	1.88790	+	0.704150i
$973$	10.1270	+	0.724301i	0.324658	+	0.0232200i
$974$	15.1540	−	2.17882i	0.485567	−	0.0698140i
$975$	27.4250	+	10.7343i	0.878303	+	0.343774i
$976$	8.87069	+	7.68650i	0.283944	+	0.246039i
$977$	5.91332	+	27.1831i	0.189184	+	0.869665i	0.969656	+	0.244474i	$0.0786152\pi$
$977$	5.91332	+	27.1831i	0.189184	+	0.869665i	−0.780472	+	0.625191i	$0.785021\pi$
$978$	−5.68623	−	26.1392i	−0.181826	−	0.835839i
$979$	2.64306	+	2.29023i	0.0844726	+	0.0731959i
$980$	−9.03777	−	18.4237i	−0.288701	−	0.588524i
$981$	12.1920	−	1.75294i	0.389259	−	0.0559670i
$982$	36.3421	+	2.59924i	1.15972	+	0.0829450i
$983$	49.3873	+	18.4205i	1.57521	+	0.587523i	0.976892	−	0.213735i	$-0.0685629\pi$
$983$	49.3873	+	18.4205i	1.57521	+	0.587523i	0.598319	+	0.801258i	$0.295836\pi$
$984$	2.24126	+	7.63304i	0.0714488	+	0.243332i
$985$	7.44934	−	14.5877i	0.237356	−	0.464804i
$986$	2.30116	+	0.330857i	0.0732839	+	0.0105366i
$987$	55.0413	+	11.9735i	1.75198	+	0.381121i
$988$	6.62573	−	6.62573i	0.210793	−	0.210793i
$989$	−2.18980	−	19.8262i	−0.0696316	−	0.630436i
$990$	20.7770	+	0.909341i	0.660336	+	0.0289008i
$991$	20.8622	−	13.4073i	0.662709	−	0.425897i	−0.165581	−	0.986196i	$-0.552950\pi$
$991$	20.8622	−	13.4073i	0.662709	−	0.425897i	0.828291	+	0.560299i	$0.189314\pi$
$992$	2.09938	+	2.80444i	0.0666554	+	0.0890412i
$993$	89.6870	−	33.4515i	2.84613	−	1.06155i
$994$	−59.5912	+	17.4975i	−1.89012	+	0.554989i
$995$	−1.26550	+	2.98703i	−0.0401189	+	0.0946953i
$996$	−11.3908	+	9.87015i	−0.360930	+	0.312748i
$997$	−35.4735	−	26.5551i	−1.12346	−	0.841010i	−0.134752	−	0.990879i	$-0.543024\pi$
$997$	−35.4735	−	26.5551i	−1.12346	−	0.841010i	−0.988706	+	0.149870i	$0.952115\pi$
$998$	−17.8482	−	32.6865i	−0.564975	−	1.03467i
$999$	−27.8306	+	32.1182i	−0.880520	+	1.01617i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.l.a.103.12	yes	240
5.2	odd	4	inner	230.2.l.a.57.7	✓	240
23.21	odd	22	inner	230.2.l.a.113.7	yes	240
115.67	even	44	inner	230.2.l.a.67.12	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.l.a.57.7	✓	240	5.2	odd	4	inner
230.2.l.a.67.12	yes	240	115.67	even	44	inner
230.2.l.a.103.12	yes	240	1.1	even	1	trivial
230.2.l.a.113.7	yes	240	23.21	odd	22	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)

\(f(q)\)	\(=\)	\(q+(0.212565 - 0.977147i) q^{2} +(2.68685 - 2.01135i) q^{3} +(-0.909632 - 0.415415i) q^{4} +(-1.91382 - 1.15642i) q^{5} +(-1.39425 - 3.05299i) q^{6} +(-0.286933 + 4.01185i) q^{7} +(-0.599278 + 0.800541i) q^{8} +(2.32843 - 7.92991i) q^{9} +O(q^{10})\)	\(q+(0.212565 - 0.977147i) q^{2} +(2.68685 - 2.01135i) q^{3} +(-0.909632 - 0.415415i) q^{4} +(-1.91382 - 1.15642i) q^{5} +(-1.39425 - 3.05299i) q^{6} +(-0.286933 + 4.01185i) q^{7} +(-0.599278 + 0.800541i) q^{8} +(2.32843 - 7.92991i) q^{9} +(-1.53680 + 1.62426i) q^{10} +(0.608409 - 0.946702i) q^{11} +(-3.27959 + 0.713431i) q^{12} +(1.75050 - 0.125198i) q^{13} +(3.85918 + 1.13316i) q^{14} +(-7.46810 + 0.742226i) q^{15} +(0.654861 + 0.755750i) q^{16} +(0.281948 - 0.755932i) q^{17} +(-7.25375 - 3.96085i) q^{18} +(-2.21800 + 4.85675i) q^{19} +(1.26047 + 1.84695i) q^{20} +(7.29830 + 11.3564i) q^{21} +(-0.795741 - 0.795741i) q^{22} +(4.13157 + 2.43518i) q^{23} +3.35629i q^{24} +(2.32538 + 4.42635i) q^{25} +(0.249758 - 1.73710i) q^{26} +(-6.17498 - 16.5558i) q^{27} +(1.92759 - 3.53011i) q^{28} +(-2.62114 + 1.19703i) q^{29} +(-0.862196 + 7.45520i) q^{30} +(0.498555 + 3.46753i) q^{31} +(0.877679 - 0.479249i) q^{32} +(-0.269448 - 3.76737i) q^{33} +(-0.678725 - 0.436190i) q^{34} +(5.18853 - 7.34613i) q^{35} +(-5.41222 + 6.24604i) q^{36} +(-1.15266 - 2.11094i) q^{37} +(4.27428 + 3.19969i) q^{38} +(4.45150 - 3.85725i) q^{39} +(2.07267 - 0.839071i) q^{40} +(2.27425 - 0.667780i) q^{41} +(12.6482 - 4.71754i) q^{42} +(-2.49251 - 3.32960i) q^{43} +(-0.946702 + 0.608409i) q^{44} +(-13.6265 + 12.4837i) q^{45} +(3.25776 - 3.51952i) q^{46} +(2.95054 - 2.95054i) q^{47} +(3.27959 + 0.713431i) q^{48} +(-9.08389 - 1.30607i) q^{49} +(4.81949 - 1.33135i) q^{50} +(-0.762893 - 2.59817i) q^{51} +(-1.64432 - 0.613298i) q^{52} +(-6.73006 - 0.481343i) q^{53} +(-17.4900 + 2.51468i) q^{54} +(-2.25917 + 1.10824i) q^{55} +(-3.03970 - 2.63392i) q^{56} +(3.80918 + 17.5105i) q^{57} +(0.612514 + 2.81568i) q^{58} +(2.62284 + 2.27270i) q^{59} +(7.10156 + 2.42721i) q^{60} +(11.6181 - 1.67044i) q^{61} +(3.49426 + 0.249914i) q^{62} +(31.1456 + 11.6167i) q^{63} +(-0.281733 - 0.959493i) q^{64} +(-3.49491 - 1.78470i) q^{65} +(-3.73855 - 0.537522i) q^{66} +(-1.29791 - 0.282344i) q^{67} +(-0.570495 + 0.570495i) q^{68} +(15.9989 - 1.76708i) q^{69} +(-6.07535 - 6.63149i) q^{70} +(-12.9901 + 8.34826i) q^{71} +(4.95285 + 6.61623i) q^{72} +(-6.76526 + 2.52331i) q^{73} +(-2.30772 + 0.677607i) q^{74} +(15.1509 + 7.21578i) q^{75} +(4.03513 - 3.49646i) q^{76} +(3.62346 + 2.71249i) q^{77} +(-2.82286 - 5.16969i) q^{78} +(-6.05650 + 6.98957i) q^{79} +(-0.379318 - 2.20366i) q^{80} +(-29.0326 - 18.6581i) q^{81} +(-0.169092 - 2.36422i) q^{82} +(3.94140 - 2.15217i) q^{83} +(-1.92116 - 13.3619i) q^{84} +(-1.41377 + 1.12066i) q^{85} +(-3.78333 + 1.72779i) q^{86} +(-4.63494 + 8.48827i) q^{87} +(0.393269 + 1.05439i) q^{88} +(-0.442275 + 3.07609i) q^{89} +(9.30193 + 15.9687i) q^{90} +7.05866i q^{91} +(-2.74660 - 3.93144i) q^{92} +(8.31396 + 8.31396i) q^{93} +(-2.25593 - 3.51029i) q^{94} +(9.86129 - 6.72998i) q^{95} +(1.39425 - 3.05299i) q^{96} +(-16.3357 - 8.91998i) q^{97} +(-3.20714 + 8.59867i) q^{98} +(-6.09063 - 7.02896i) 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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