LMFDB - Embedded newform 228.2.w.b.79.10

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [228,2,Mod(67,228)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(228, base_ring=CyclotomicField(18)) chi = DirichletCharacter(H, H._module([9, 0, 17])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("228.67"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 228 = 2^{2} \cdot 3 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	228.w (of order $18$, degree $6$, minimal)

Newform invariants

comment:select newform

sage:traces = [60,3] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(2)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.82058916609$
Analytic rank:	$0$
Dimension:	$60$
Relative dimension:	$10$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			79.10
Character	$\chi$	$=$	228.79
Dual form			228.2.w.b.127.10

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.39185 + 0.250479i) q^{2} +(-0.939693 + 0.342020i) q^{3} +(1.87452 + 0.697261i) q^{4} +(0.683388 - 3.87569i) q^{5} +(-1.39358 + 0.240669i) q^{6} +(0.181667 - 0.104885i) q^{7} +(2.43441 + 1.44001i) q^{8} +(0.766044 - 0.642788i) q^{9} +(1.92196 - 5.22322i) q^{10} +(0.749928 + 0.432971i) q^{11} +(-1.99995 - 0.0140874i) q^{12} +(-0.989139 + 2.71764i) q^{13} +(0.279125 - 0.100482i) q^{14} +(0.683388 + 3.87569i) q^{15} +(3.02765 + 2.61406i) q^{16} +(-2.09737 - 1.75990i) q^{17} +(1.22723 - 0.702789i) q^{18} +(-0.105352 + 4.35763i) q^{19} +(3.98339 - 6.78856i) q^{20} +(-0.134838 + 0.160694i) q^{21} +(0.935341 + 0.790474i) q^{22} +(-2.73529 + 0.482305i) q^{23} +(-2.78011 - 0.520553i) q^{24} +(-9.85547 - 3.58710i) q^{25} +(-2.05745 + 3.53480i) q^{26} +(-0.500000 + 0.866025i) q^{27} +(0.413671 - 0.0699406i) q^{28} +(5.73119 + 6.83016i) q^{29} +(-0.0196014 + 5.56557i) q^{30} +(-2.99093 - 5.18044i) q^{31} +(3.55929 + 4.39676i) q^{32} +(-0.852786 - 0.150369i) q^{33} +(-2.47841 - 2.97487i) q^{34} +(-0.282354 - 0.775761i) q^{35} +(1.88416 - 0.670785i) q^{36} +0.151178i q^{37} +(-1.23813 + 6.03879i) q^{38} -2.89205i q^{39} +(7.24470 - 8.45093i) q^{40} +(-1.95326 - 5.36654i) q^{41} +(-0.227925 + 0.189888i) q^{42} +(-10.1816 - 1.79529i) q^{43} +(1.10386 + 1.33451i) q^{44} +(-1.96774 - 3.40822i) q^{45} +(-3.92793 - 0.0138338i) q^{46} +(-2.13422 - 2.54346i) q^{47} +(-3.73913 - 1.42089i) q^{48} +(-3.47800 + 6.02407i) q^{49} +(-12.8189 - 7.46131i) q^{50} +(2.57280 + 0.936424i) q^{51} +(-3.74906 + 4.40458i) q^{52} +(9.34894 - 1.64847i) q^{53} +(-0.912849 + 1.08014i) q^{54} +(2.19055 - 2.61060i) q^{55} +(0.593288 + 0.00626872i) q^{56} +(-1.39140 - 4.13086i) q^{57} +(6.26617 + 10.9421i) q^{58} +(-2.89615 - 2.43016i) q^{59} +(-1.42134 + 7.74156i) q^{60} +(1.46504 + 8.30867i) q^{61} +(-2.86535 - 7.95958i) q^{62} +(0.0717458 - 0.197120i) q^{63} +(3.85272 + 7.01118i) q^{64} +(9.85675 + 5.69080i) q^{65} +(-1.14929 - 0.422897i) q^{66} +(-7.42773 + 6.23260i) q^{67} +(-2.70445 - 4.76139i) q^{68} +(2.40537 - 1.38874i) q^{69} +(-0.198684 - 1.15047i) q^{70} +(-2.01679 + 11.4378i) q^{71} +(2.79049 - 0.461694i) q^{72} +(6.12889 - 2.23073i) q^{73} +(-0.0378669 + 0.210418i) q^{74} +10.4880 q^{75} +(-3.23589 + 8.09500i) q^{76} +0.181649 q^{77} +(0.724398 - 4.02531i) q^{78} +(16.0953 - 5.85822i) q^{79} +(12.2003 - 9.94782i) q^{80} +(0.173648 - 0.984808i) q^{81} +(-1.37445 - 7.95870i) q^{82} +(13.7430 - 7.93452i) q^{83} +(-0.364802 + 0.207206i) q^{84} +(-8.25415 + 6.92605i) q^{85} +(-13.7216 - 5.04907i) q^{86} +(-7.72161 - 4.45807i) q^{87} +(1.20215 + 2.13394i) q^{88} +(0.622825 - 1.71120i) q^{89} +(-1.88512 - 5.23663i) q^{90} +(0.105347 + 0.597451i) q^{91} +(-5.46365 - 1.00312i) q^{92} +(4.58237 + 3.84506i) q^{93} +(-2.33344 - 4.07470i) q^{94} +(16.8168 + 3.38626i) q^{95} +(-4.84842 - 2.91425i) q^{96} +(-6.40106 + 7.62849i) q^{97} +(-6.34977 + 7.51347i) q^{98} +(0.852786 - 0.150369i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 60 q + 3 q^{2} - 3 q^{4} + 3 q^{6} - 3 q^{8} - 6 q^{10} - 6 q^{13} - 9 q^{14} + 21 q^{16} + 18 q^{19} + 30 q^{20} - 6 q^{21} - 12 q^{22} - 18 q^{24} - 30 q^{27} - 18 q^{28} - 12 q^{31} + 33 q^{32} - 15 q^{34}+ \cdots - 105 q^{98}+O(q^{100}) $ 60 * q + 3 * q^2 - 3 * q^4 + 3 * q^6 - 3 * q^8 - 6 * q^10 - 6 * q^13 - 9 * q^14 + 21 * q^16 + 18 * q^19 + 30 * q^20 - 6 * q^21 - 12 * q^22 - 18 * q^24 - 30 * q^27 - 18 * q^28 - 12 * q^31 + 33 * q^32 - 15 * q^34 - 3 * q^36 - 84 * q^38 - 87 * q^40 - 12 * q^41 + 9 * q^42 - 18 * q^43 - 51 * q^44 - 21 * q^46 + 18 * q^48 + 30 * q^49 - 27 * q^50 - 3 * q^52 + 12 * q^53 + 3 * q^54 + 42 * q^56 - 36 * q^58 + 15 * q^60 + 105 * q^62 - 12 * q^63 + 21 * q^64 - 36 * q^65 + 24 * q^66 + 42 * q^67 - 15 * q^68 - 72 * q^69 - 96 * q^70 + 24 * q^71 + 18 * q^72 + 18 * q^73 + 69 * q^74 + 60 * q^75 + 54 * q^76 - 72 * q^77 + 57 * q^78 + 12 * q^79 - 12 * q^80 + 75 * q^82 + 39 * q^84 - 60 * q^85 + 21 * q^86 + 36 * q^88 - 12 * q^89 + 15 * q^90 - 84 * q^91 + 99 * q^92 - 12 * q^93 - 24 * q^95 + 12 * q^97 - 105 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/228\mathbb{Z}\right)^\times$.

$n$	$77$	$97$	$115$
$\chi(n)$	$1$	$e\left(\frac{13}{18}\right)$	$-1$

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 $

$2$	1.39185	+	0.250479i	0.984190	+	0.177115i
$2$	1.39185	+	0.250479i	0.984190	+	0.177115i
$3$	−0.939693	+	0.342020i	−0.542532	+	0.197465i
$3$	−0.939693	+	0.342020i	−0.542532	+	0.197465i
$4$	1.87452	+	0.697261i	0.937260	+	0.348631i
$5$	0.683388	−	3.87569i	0.305621	−	1.73326i	−0.314949	−	0.949109i	$-0.601987\pi$
$5$	0.683388	−	3.87569i	0.305621	−	1.73326i	0.620569	−	0.784152i	$-0.286902\pi$
$6$	−1.39358	+	0.240669i	−0.568929	+	0.0982527i
$7$	0.181667	−	0.104885i	0.0686636	−	0.0396430i	−0.465275	−	0.885166i	$-0.654045\pi$
$7$	0.181667	−	0.104885i	0.0686636	−	0.0396430i	0.533939	+	0.845523i	$0.320711\pi$
$8$	2.43441	+	1.44001i	0.860694	+	0.509122i
$9$	0.766044	−	0.642788i	0.255348	−	0.214263i
$10$	1.92196	−	5.22322i	0.607776	−	1.65173i
$11$	0.749928	+	0.432971i	0.226112	+	0.130546i	0.608777	−	0.793341i	$-0.291660\pi$
$11$	0.749928	+	0.432971i	0.226112	+	0.130546i	−0.382665	+	0.923887i	$0.624994\pi$
$12$	−1.99995	−	0.0140874i	−0.577336	−	0.00406669i
$13$	−0.989139	+	2.71764i	−0.274338	+	0.753737i	0.723640	+	0.690177i	$0.242468\pi$
$13$	−0.989139	+	2.71764i	−0.274338	+	0.753737i	−0.997978	+	0.0635596i	$0.979755\pi$
$14$	0.279125	−	0.100482i	0.0745994	−	0.0268548i
$15$	0.683388	+	3.87569i	0.176450	+	1.00070i
$16$	3.02765	+	2.61406i	0.756913	+	0.653515i
$17$	−2.09737	−	1.75990i	−0.508687	−	0.426839i	0.351980	−	0.936008i	$-0.385508\pi$
$17$	−2.09737	−	1.75990i	−0.508687	−	0.426839i	−0.860667	+	0.509169i	$0.829953\pi$
$18$	1.22723	−	0.702789i	0.289260	−	0.165649i
$19$	−0.105352	+	4.35763i	−0.0241694	+	0.999708i
$19$	−0.105352	+	4.35763i	−0.0241694	+	0.999708i
$20$	3.98339	−	6.78856i	0.890714	−	1.51797i
$21$	−0.134838	+	0.160694i	−0.0294241	+	0.0350662i
$22$	0.935341	+	0.790474i	0.199415	+	0.168530i
$23$	−2.73529	+	0.482305i	−0.570347	+	0.100568i	−0.451382	−	0.892331i	$-0.649069\pi$
$23$	−2.73529	+	0.482305i	−0.570347	+	0.100568i	−0.118965	+	0.992898i	$0.537958\pi$
$24$	−2.78011	−	0.520553i	−0.567488	−	0.106258i
$25$	−9.85547	−	3.58710i	−1.97109	−	0.717420i
$26$	−2.05745	+	3.53480i	−0.403499	+	0.693231i
$27$	−0.500000	+	0.866025i	−0.0962250	+	0.166667i
$28$	0.413671	−	0.0699406i	0.0781764	−	0.0132175i
$29$	5.73119	+	6.83016i	1.06425	+	1.26833i	0.961847	+	0.273587i	$0.0882101\pi$
$29$	5.73119	+	6.83016i	1.06425	+	1.26833i	0.102408	+	0.994743i	$0.467345\pi$
$30$	−0.0196014	+	5.56557i	−0.00357871	+	1.01613i
$31$	−2.99093	−	5.18044i	−0.537186	−	0.930434i	−0.999054	−	0.0434852i	$-0.986154\pi$
$31$	−2.99093	−	5.18044i	−0.537186	−	0.930434i	0.461868	−	0.886949i	$-0.347179\pi$
$32$	3.55929	+	4.39676i	0.629199	+	0.777244i
$33$	−0.852786	−	0.150369i	−0.148451	−	0.0261759i
$34$	−2.47841	−	2.97487i	−0.425045	−	0.510187i
$35$	−0.282354	−	0.775761i	−0.0477265	−	0.131128i
$36$	1.88416	−	0.670785i	0.314026	−	0.111798i
$37$			0.151178i			0.0248535i	0.999923	+	0.0124267i	$0.00395566\pi$
$37$			0.151178i			0.0248535i	−0.999923	+	0.0124267i	$0.996044\pi$
$38$	−1.23813	+	6.03879i	−0.200851	+	0.979622i
$39$		−	2.89205i		−	0.463099i
$40$	7.24470	−	8.45093i	1.14549	−	1.33621i
$41$	−1.95326	−	5.36654i	−0.305048	−	0.838113i	−0.993603	−	0.112929i	$-0.963977\pi$
$41$	−1.95326	−	5.36654i	−0.305048	−	0.838113i	0.688555	−	0.725184i	$-0.258245\pi$
$42$	−0.227925	+	0.189888i	−0.0351697	+	0.0293004i
$43$	−10.1816	−	1.79529i	−1.55268	−	0.273780i	−0.669501	−	0.742812i	$-0.733492\pi$
$43$	−10.1816	−	1.79529i	−1.55268	−	0.273780i	−0.883181	+	0.469032i	$0.844603\pi$
$44$	1.10386	+	1.33451i	0.166413	+	0.201185i
$45$	−1.96774	−	3.40822i	−0.293333	−	0.508068i
$46$	−3.92793	−	0.0138338i	−0.579142	−	0.00203968i
$47$	−2.13422	−	2.54346i	−0.311307	−	0.371002i	0.587592	−	0.809158i	$-0.300076\pi$
$47$	−2.13422	−	2.54346i	−0.311307	−	0.371002i	−0.898899	+	0.438156i	$0.855632\pi$
$48$	−3.73913	−	1.42089i	−0.539696	−	0.205089i
$49$	−3.47800	+	6.02407i	−0.496857	+	0.860581i
$50$	−12.8189	−	7.46131i	−1.81287	−	1.05519i
$51$	2.57280	+	0.936424i	0.360265	+	0.131126i
$52$	−3.74906	+	4.40458i	−0.519902	+	0.610805i
$53$	9.34894	−	1.64847i	1.28418	−	0.226435i	0.510423	−	0.859923i	$-0.329489\pi$
$53$	9.34894	−	1.64847i	1.28418	−	0.226435i	0.773752	+	0.633488i	$0.218378\pi$
$54$	−0.912849	+	1.08014i	−0.124223	+	0.146989i
$55$	2.19055	−	2.61060i	0.295374	−	0.352013i
$56$	0.593288	+	0.00626872i	0.0792815	+	0.000837692i
$57$	−1.39140	−	4.13086i	−0.184295	−	0.547146i
$58$	6.26617	+	10.9421i	0.822788	+	1.43677i
$59$	−2.89615	−	2.43016i	−0.377047	−	0.316380i	0.434495	−	0.900674i	$-0.356927\pi$
$59$	−2.89615	−	2.43016i	−0.377047	−	0.316380i	−0.811542	+	0.584295i	$0.801371\pi$
$60$	−1.42134	+	7.74156i	−0.183494	+	0.999431i
$61$	1.46504	+	8.30867i	0.187579	+	1.06382i	0.922596	+	0.385767i	$0.126063\pi$
$61$	1.46504	+	8.30867i	0.187579	+	1.06382i	−0.735017	+	0.678049i	$0.762826\pi$
$62$	−2.86535	−	7.95958i	−0.363899	−	1.01087i
$63$	0.0717458	−	0.197120i	0.00903912	−	0.0248348i
$64$	3.85272	+	7.01118i	0.481589	+	0.876397i
$65$	9.85675	+	5.69080i	1.22258	+	0.705856i
$66$	−1.14929	−	0.422897i	−0.141468	−	0.0520551i
$67$	−7.42773	+	6.23260i	−0.907442	+	0.761434i	−0.971631	−	0.236504i	$-0.923998\pi$
$67$	−7.42773	+	6.23260i	−0.907442	+	0.761434i	0.0641890	+	0.997938i	$0.479554\pi$
$68$	−2.70445	−	4.76139i	−0.327963	−	0.577403i
$69$	2.40537	−	1.38874i	0.289573	−	0.167185i
$70$	−0.198684	−	1.15047i	−0.0237473	−	0.137508i
$71$	−2.01679	+	11.4378i	−0.239349	+	1.35742i	0.593908	+	0.804533i	$0.297584\pi$
$71$	−2.01679	+	11.4378i	−0.239349	+	1.35742i	−0.833257	+	0.552885i	$0.813527\pi$
$72$	2.79049	−	0.461694i	0.328862	−	0.0544112i
$73$	6.12889	−	2.23073i	0.717332	−	0.261088i	0.0425394	−	0.999095i	$-0.486455\pi$
$73$	6.12889	−	2.23073i	0.717332	−	0.261088i	0.674793	+	0.738007i	$0.264233\pi$
$74$	−0.0378669	+	0.210418i	−0.00440194	+	0.0244605i
$75$	10.4880			1.21105
$76$	−3.23589	+	8.09500i	−0.371182	+	0.928560i
$77$	0.181649			0.0207009
$78$	0.724398	−	4.02531i	0.0820219	−	0.455777i
$79$	16.0953	−	5.85822i	1.81087	−	0.659101i	0.813922	−	0.580975i	$-0.197328\pi$
$79$	16.0953	−	5.85822i	1.81087	−	0.659101i	0.996943	−	0.0781264i	$-0.0248938\pi$
$80$	12.2003	−	9.94782i	1.36404	−	1.11220i
$81$	0.173648	−	0.984808i	0.0192942	−	0.109423i
$82$	−1.37445	−	7.95870i	−0.151783	−	0.878891i
$83$	13.7430	−	7.93452i	1.50849	−	0.870926i	0.508538	−	0.861040i	$-0.330186\pi$
$83$	13.7430	−	7.93452i	1.50849	−	0.870926i	0.999951	−	0.00988648i	$-0.00314701\pi$
$84$	−0.364802	+	0.207206i	−0.0398032	+	0.0226081i
$85$	−8.25415	+	6.92605i	−0.895288	+	0.751236i
$86$	−13.7216	−	5.04907i	−1.47964	−	0.544455i
$87$	−7.72161	−	4.45807i	−0.827843	−	0.477956i
$88$	1.20215	+	2.13394i	0.128149	+	0.227478i
$89$	0.622825	−	1.71120i	0.0660193	−	0.181387i	−0.902296	−	0.431117i	$-0.858120\pi$
$89$	0.622825	−	1.71120i	0.0660193	−	0.181387i	0.968315	+	0.249730i	$0.0803419\pi$
$90$	−1.88512	−	5.23663i	−0.198709	−	0.551989i
$91$	0.105347	+	0.597451i	0.0110433	+	0.0626299i
$92$	−5.46365	−	1.00312i	−0.569624	−	0.104582i
$93$	4.58237	+	3.84506i	0.475169	+	0.398714i
$94$	−2.33344	−	4.07470i	−0.240676	−	0.420274i
$95$	16.8168	+	3.38626i	1.72537	+	0.347423i
$96$	−4.84842	−	2.91425i	−0.494839	−	0.297435i
$97$	−6.40106	+	7.62849i	−0.649929	+	0.774555i	−0.985903	−	0.167316i	$-0.946490\pi$
$97$	−6.40106	+	7.62849i	−0.649929	+	0.774555i	0.335974	+	0.941871i	$0.390935\pi$
$98$	−6.34977	+	7.51347i	−0.641424	+	0.758975i
$99$	0.852786	−	0.150369i	0.0857083	−	0.0151127i
$100$	−15.9731	−	13.5959i	−1.59731	−	1.35959i
$101$	−12.3259	−	4.48627i	−1.22647	−	0.446400i	−0.354086	−	0.935213i	$-0.615208\pi$
$101$	−12.3259	−	4.48627i	−1.22647	−	0.446400i	−0.872389	+	0.488813i	$0.837430\pi$
$102$	3.34642	+	1.94780i	0.331344	+	0.192861i
$103$	3.05588	−	5.29294i	0.301105	−	0.521529i	−0.675282	−	0.737560i	$-0.735978\pi$
$103$	3.05588	−	5.29294i	0.301105	−	0.521529i	0.976386	+	0.216031i	$0.0693113\pi$
$104$	−6.32141	+	5.19147i	−0.619865	+	0.509066i
$105$	0.530652	+	0.632406i	0.0517863	+	0.0617165i
$106$	13.4253	+	0.0472825i	1.30398	+	0.00459248i
$107$	0.977120	+	1.69242i	0.0944618	+	0.163613i	0.909384	−	0.415958i	$-0.136554\pi$
$107$	0.977120	+	1.69242i	0.0944618	+	0.163613i	−0.814922	+	0.579571i	$0.803220\pi$
$108$	−1.54111	+	1.27475i	−0.148293	+	0.122663i
$109$	6.99424	+	1.23327i	0.669927	+	0.118126i	0.498258	−	0.867029i	$-0.333973\pi$
$109$	6.99424	+	1.23327i	0.669927	+	0.118126i	0.171669	+	0.985155i	$0.445084\pi$
$110$	3.70283	−	3.08489i	0.353051	−	0.294132i
$111$	−0.0517059	−	0.142061i	−0.00490770	−	0.0134838i
$112$	0.824201	+	0.157331i	0.0778797	+	0.0148664i
$113$		−	10.4870i		−	0.986531i	−0.869879	−	0.493265i	$-0.835803\pi$
$113$		−	10.4870i		−	0.986531i	0.869879	−	0.493265i	$-0.164197\pi$
$114$	−0.901929	−	6.09808i	−0.0844734	−	0.571137i
$115$			10.9307i			1.01930i
$116$	5.98082	+	16.7994i	0.555305	+	1.55979i
$117$	0.989139	+	2.71764i	0.0914459	+	0.251246i
$118$	−3.42232	−	4.10785i	−0.315050	−	0.378158i
$119$	−0.565610	−	0.0997324i	−0.0518494	−	0.00914245i
$120$	−3.91740	+	10.4191i	−0.357608	+	0.951130i
$121$	−5.12507	−	8.87689i	−0.465916	−	0.806990i
$122$	−0.0420213	+	11.9314i	−0.00380443	+	1.08022i
$123$	3.67093	+	4.37484i	0.330997	+	0.394466i
$124$	−1.99444	−	11.7963i	−0.179106	−	1.05934i
$125$	−10.7989	+	18.7042i	−0.965883	+	1.67296i
$126$	0.149234	−	0.256392i	0.0132948	−	0.0228412i
$127$	−17.1366	−	6.23722i	−1.52063	−	0.553464i	−0.559324	−	0.828949i	$-0.688939\pi$
$127$	−17.1366	−	6.23722i	−1.52063	−	0.553464i	−0.961305	+	0.275486i	$0.911161\pi$
$128$	3.60627	+	10.7236i	0.318752	+	0.947838i
$129$	10.1816	−	1.79529i	0.896441	−	0.158067i
$130$	12.2937	+	10.3897i	1.07823	+	0.911235i
$131$	7.78238	−	9.27469i	0.679950	−	0.810333i	−0.310151	−	0.950687i	$-0.600380\pi$
$131$	7.78238	−	9.27469i	0.679950	−	0.810333i	0.990101	+	0.140354i	$0.0448241\pi$
$132$	−1.49372	−	0.876485i	−0.130012	−	0.0762882i
$133$	0.437912	+	0.802686i	0.0379718	+	0.0696017i
$134$	−11.8995	+	6.81439i	−1.02796	+	0.588674i
$135$	3.01475	+	2.52968i	0.259468	+	0.217720i
$136$	−2.57157	−	7.30457i	−0.220511	−	0.626361i
$137$	−2.48319	−	14.0829i	−0.212153	−	1.20318i	−0.885778	−	0.464109i	$-0.846375\pi$
$137$	−2.48319	−	14.0829i	−0.212153	−	1.20318i	0.673625	−	0.739073i	$-0.264736\pi$
$138$	3.69578	−	1.33043i	0.314606	−	0.113254i
$139$	4.90177	−	13.4675i	0.415763	−	1.14230i	−0.538316	−	0.842743i	$-0.680939\pi$
$139$	4.90177	−	13.4675i	0.415763	−	1.14230i	0.954079	−	0.299556i	$-0.0968386\pi$
$140$	0.0116298	−	1.65105i	0.000982902	−	0.139540i
$141$	2.87542	+	1.66013i	0.242154	+	0.139808i
$142$	−5.67202	+	15.4146i	−0.475985	+	1.29357i
$143$	−1.91844	+	1.60976i	−0.160428	+	0.134615i
$144$	3.99960	+	0.0563483i	0.333300	+	0.00469569i
$145$	30.3882	−	17.5446i	2.52360	−	1.45700i
$146$	9.08928	−	1.56970i	0.752234	−	0.129909i
$147$	1.20790	−	6.85032i	0.0996256	−	0.565005i
$148$	−0.105410	+	0.283386i	−0.00866468	+	0.0232942i
$149$	−8.96072	+	3.26144i	−0.734091	+	0.267187i	−0.681895	−	0.731450i	$-0.738844\pi$
$149$	−8.96072	+	3.26144i	−0.734091	+	0.267187i	−0.0521954	+	0.998637i	$0.516622\pi$
$150$	14.5977	+	2.62702i	1.19190	+	0.214495i
$151$	13.8409			1.12636			0.563180	−	0.826334i	$-0.309578\pi$
$151$	13.8409			1.12636			0.563180	+	0.826334i	$0.309578\pi$
$152$	−6.53151	+	10.4565i	−0.529776	+	0.848138i
$153$	−2.73792			−0.221348
$154$	0.252830	+	0.0454994i	0.0203736	+	0.00366644i
$155$	−22.1217	+	8.05165i	−1.77686	+	0.646724i
$156$	2.01651	−	5.42121i	0.161450	−	0.434044i
$157$	−0.644692	+	3.65623i	−0.0514520	+	0.291799i	−0.999666	−	0.0258325i	$-0.991776\pi$
$157$	−0.644692	+	3.65623i	−0.0514520	+	0.291799i	0.948214	+	0.317631i	$0.102887\pi$
$158$	23.8697	−	4.12225i	1.89897	−	0.327948i
$159$	−8.22132	+	4.74658i	−0.651993	+	0.376428i
$160$	19.4728	−	10.7900i	1.53946	−	0.853024i
$161$	−0.446324	+	0.374511i	−0.0351753	+	0.0295156i
$162$	0.488367	−	1.32721i	0.0383697	−	0.104276i
$163$	6.98080	+	4.03037i	0.546778	+	0.315683i	0.747822	−	0.663900i	$-0.231100\pi$
$163$	6.98080	+	4.03037i	0.546778	+	0.315683i	−0.201043	+	0.979582i	$0.564433\pi$
$164$	0.0804527	−	11.4216i	0.00628230	−	0.891879i
$165$	−1.16557	+	3.20237i	−0.0907394	+	0.249304i
$166$	21.1157	−	7.60137i	1.63889	−	0.589980i
$167$	−1.63408	−	9.26731i	−0.126449	−	0.717126i	−0.980437	−	0.196834i	$-0.936934\pi$
$167$	−1.63408	−	9.26731i	−0.126449	−	0.717126i	0.853988	−	0.520292i	$-0.174177\pi$
$168$	−0.559653	+	0.197026i	−0.0431781	+	0.0152009i
$169$	3.55142	+	2.98000i	0.273186	+	0.229230i
$170$	−13.2234	+	7.57257i	−1.01419	+	0.580789i
$171$	2.72032	+	3.40585i	0.208028	+	0.260452i
$172$	−17.8339	−	10.4646i	−1.35982	−	0.797915i
$173$	−9.44603	+	11.2573i	−0.718169	+	0.855880i	−0.994451	−	0.105196i	$-0.966453\pi$
$173$	−9.44603	+	11.2573i	−0.718169	+	0.855880i	0.276283	+	0.961076i	$0.410897\pi$
$174$	−9.63070	−	8.13909i	−0.730102	−	0.617023i
$175$	−2.16665	+	0.382038i	−0.163783	+	0.0288794i
$176$	1.13871	+	3.27124i	0.0858334	+	0.246579i
$177$	3.55265	+	1.29306i	0.267034	+	0.0971923i
$178$	1.29550	−	2.22573i	0.0971019	−	0.166826i
$179$	4.06680	−	7.04391i	0.303967	−	0.526486i	−0.673064	−	0.739584i	$-0.735022\pi$
$179$	4.06680	−	7.04391i	0.303967	−	0.526486i	0.977031	+	0.213098i	$0.0683554\pi$
$180$	−1.31214	−	7.76081i	−0.0978015	−	0.578457i
$181$	2.72615	+	3.24890i	0.202633	+	0.241489i	0.857785	−	0.514008i	$-0.171840\pi$
$181$	2.72615	+	3.24890i	0.202633	+	0.241489i	−0.655152	+	0.755497i	$0.727396\pi$
$182$	−0.00302162	+	0.857952i	−0.000223978	+	0.0635956i
$183$	−4.21842	−	7.30652i	−0.311835	−	0.540114i
$184$	−7.35334	−	2.76473i	−0.542096	−	0.203818i
$185$	0.585918	+	0.103313i	0.0430775	+	0.00759573i
$186$	5.41488	+	6.49956i	0.397038	+	0.476571i
$187$	−0.810889	−	2.22790i	−0.0592981	−	0.162920i
$188$	−2.22718	−	6.25587i	−0.162434	−	0.456256i
$189$			0.209771i			0.0152586i
$190$	22.5584	+	8.92544i	1.63656	+	0.647520i
$191$			12.9422i			0.936468i	0.883605	+	0.468234i	$0.155109\pi$
$191$			12.9422i			0.936468i	−0.883605	+	0.468234i	$0.844891\pi$
$192$	−6.01833	−	5.27064i	−0.434336	−	0.380376i
$193$	0.0498843	+	0.137056i	0.00359075	+	0.00986551i	0.941475	−	0.337083i	$-0.109440\pi$
$193$	0.0498843	+	0.137056i	0.00359075	+	0.00986551i	−0.937884	+	0.346948i	$0.887218\pi$
$194$	−10.8201	+	9.01441i	−0.776840	+	0.647197i
$195$	−11.2087	−	1.97639i	−0.802670	−	0.141532i
$196$	−10.7199	+	8.86717i	−0.765709	+	0.633369i
$197$	−5.67982	−	9.83775i	−0.404671	−	0.700910i	0.589612	−	0.807686i	$-0.299281\pi$
$197$	−5.67982	−	9.83775i	−0.404671	−	0.700910i	−0.994283	+	0.106776i	$0.965947\pi$
$198$	1.22462	+	0.00431299i	0.0870299	+	0.000306511i
$199$	2.97672	+	3.54752i	0.211014	+	0.251477i	0.861162	−	0.508331i	$-0.169737\pi$
$199$	2.97672	+	3.54752i	0.211014	+	0.251477i	−0.650148	+	0.759808i	$0.725293\pi$
$200$	−18.8268	−	22.9245i	−1.33126	−	1.62101i
$201$	4.84811	−	8.39717i	0.341959	−	0.592290i
$202$	−16.0322	−	9.33162i	−1.12802	−	0.656570i
$203$	1.75755	+	0.639696i	0.123356	+	0.0448979i
$204$	4.16984	+	3.54926i	0.291947	+	0.248498i
$205$	−22.1339	+	3.90280i	−1.54590	+	0.272583i
$206$	5.57911	−	6.60157i	0.388715	−	0.459953i
$207$	−1.78533	+	2.12768i	−0.124089	+	0.147884i
$208$	−10.0988	+	5.64240i	−0.700229	+	0.391230i
$209$	−1.96573	+	3.22229i	−0.135973	+	0.222890i
$210$	0.580186	+	1.01314i	0.0400366	+	0.0699130i
$211$	1.45050	+	1.21712i	0.0998568	+	0.0837898i	0.691349	−	0.722521i	$-0.257017\pi$
$211$	1.45050	+	1.21712i	0.0998568	+	0.0837898i	−0.591492	+	0.806311i	$0.701461\pi$
$212$	18.6742	+	3.42856i	1.28255	+	0.235475i
$213$	−2.01679	−	11.4378i	−0.138188	−	0.783706i
$214$	0.936093	+	2.60035i	0.0639900	+	0.177757i
$215$	−13.9160	+	38.2339i	−0.949063	+	2.60753i
$216$	−2.46429	+	1.38825i	−0.167674	+	0.0944588i
$217$	−1.08670	−	0.627409i	−0.0737703	−	0.0425913i
$218$	9.42606	+	3.46845i	0.638414	+	0.234913i
$219$	−4.99632	+	4.19241i	−0.337620	+	0.283297i
$220$	5.92650	−	3.36623i	0.399565	−	0.226951i
$221$	6.85736	−	3.95910i	0.461276	−	0.266318i
$222$	−0.0363838	−	0.210679i	−0.00244192	−	0.0141399i
$223$	−1.35879	+	7.70607i	−0.0909911	+	0.516036i	0.904911	+	0.425600i	$0.139937\pi$
$223$	−1.35879	+	7.70607i	−0.0909911	+	0.516036i	−0.995902	+	0.0904358i	$0.971174\pi$
$224$	1.10776	+	0.425428i	0.0740153	+	0.0284251i
$225$	−9.85547	+	3.58710i	−0.657032	+	0.239140i
$226$	2.62677	−	14.5963i	0.174730	−	0.970934i
$227$	−27.2136			−1.80623			−0.903114	−	0.429400i	$-0.858725\pi$
$227$	−27.2136			−1.80623			−0.903114	+	0.429400i	$0.858725\pi$
$228$	0.272087	−	8.71355i	0.0180194	−	0.577069i
$229$	7.86096			0.519467			0.259733	−	0.965680i	$-0.416365\pi$
$229$	7.86096			0.519467			0.259733	+	0.965680i	$0.416365\pi$
$230$	−2.73792	+	15.2140i	−0.180533	+	1.00318i
$231$	−0.170695	+	0.0621277i	−0.0112309	+	0.00408770i
$232$	4.11653	+	24.8804i	0.270264	+	1.63348i
$233$	−0.324927	+	1.84275i	−0.0212866	+	0.120723i	−0.993599	−	0.112960i	$-0.963967\pi$
$233$	−0.324927	+	1.84275i	−0.0212866	+	0.120723i	0.972313	+	0.233683i	$0.0750778\pi$
$234$	0.696027	+	4.03032i	0.0455007	+	0.263470i
$235$	−11.3162	+	6.53338i	−0.738185	+	0.426191i
$236$	−3.73444	−	6.57475i	−0.243091	−	0.427980i
$237$	−13.1210	+	11.0098i	−0.852302	+	0.715166i
$238$	−0.762267	−	0.280487i	−0.0494104	−	0.0181812i
$239$	−3.69843	−	2.13529i	−0.239232	−	0.138121i	0.375592	−	0.926785i	$-0.377439\pi$
$239$	−3.69843	−	2.13529i	−0.239232	−	0.138121i	−0.614824	+	0.788665i	$0.710773\pi$
$240$	−8.06222	+	13.5207i	−0.520414	+	0.872755i
$241$	1.49461	−	4.10641i	0.0962764	−	0.264517i	−0.882200	−	0.470874i	$-0.843939\pi$
$241$	1.49461	−	4.10641i	0.0962764	−	0.264517i	0.978477	+	0.206357i	$0.0661608\pi$
$242$	−4.90988	−	13.6391i	−0.315619	−	0.876752i
$243$	0.173648	+	0.984808i	0.0111395	+	0.0631754i
$244$	−3.04706	+	16.5963i	−0.195068	+	1.06247i
$245$	20.9706	+	17.5964i	1.33976	+	1.12419i
$246$	4.01360	+	7.00864i	0.255898	+	0.446855i
$247$	−11.7382	−	4.59661i	−0.746886	−	0.292475i
$248$	0.178760	−	16.9183i	0.0113512	−	1.07431i
$249$	−10.2004	+	12.1564i	−0.646425	+	0.770380i
$250$	−19.7155	+	23.3287i	−1.24692	+	1.47544i
$251$	9.14449	−	1.61242i	0.577195	−	0.101775i	0.122573	−	0.992460i	$-0.460885\pi$
$251$	9.14449	−	1.61242i	0.577195	−	0.101775i	0.454622	+	0.890684i	$0.349774\pi$
$252$	0.271933	−	0.319480i	0.0171302	−	0.0201253i
$253$	−2.26009	−	0.822606i	−0.142091	−	0.0517168i
$254$	−22.2894	−	12.9737i	−1.39856	−	0.814040i
$255$	5.38751	−	9.33144i	0.337379	−	0.584358i
$256$	2.33337	+	15.8289i	0.145836	+	0.989309i
$257$	−9.61171	−	11.4548i	−0.599562	−	0.714530i	0.377851	−	0.925866i	$-0.376663\pi$
$257$	−9.61171	−	11.4548i	−0.599562	−	0.714530i	−0.977414	+	0.211336i	$0.932219\pi$
$258$	14.6210	+	0.0514938i	0.910265	+	0.00320586i
$259$	0.0158563	+	0.0274640i	0.000985265	+	0.00170653i
$260$	14.5087	+	17.5402i	0.899792	+	1.08780i
$261$	8.78069	+	1.54827i	0.543511	+	0.0958357i
$262$	13.1551	−	10.9597i	0.812723	−	0.677092i
$263$	−8.49957	−	23.3524i	−0.524106	−	1.43997i	−0.865911	−	0.500198i	$-0.833261\pi$
$263$	−8.49957	−	23.3524i	−0.524106	−	1.43997i	0.341805	−	0.939771i	$-0.388962\pi$
$264$	−1.85950	−	1.59409i	−0.114444	−	0.0981092i
$265$		−	37.3601i		−	2.29501i
$266$	0.408454	+	1.22691i	0.0250439	+	0.0752267i
$267$			1.82102i			0.111444i
$268$	−18.2692	+	6.50408i	−1.11597	+	0.397300i
$269$	−2.09029	−	5.74304i	−0.127448	−	0.350159i	0.859515	−	0.511111i	$-0.170766\pi$
$269$	−2.09029	−	5.74304i	−0.127448	−	0.350159i	−0.986962	+	0.160952i	$0.948544\pi$
$270$	3.56246	+	4.27607i	0.216805	+	0.260234i
$271$	3.74612	+	0.660543i	0.227561	+	0.0401251i	0.286266	−	0.958150i	$-0.407586\pi$
$271$	3.74612	+	0.660543i	0.227561	+	0.0401251i	−0.0587049	+	0.998275i	$0.518697\pi$
$272$	−1.74962	−	10.8110i	−0.106086	−	0.655514i
$273$	−0.303334	−	0.525389i	−0.0183586	−	0.0317980i
$274$	0.0712245	−	20.2233i	0.00430283	−	1.22174i
$275$	−5.83778	−	6.95720i	−0.352032	−	0.419535i
$276$	5.47723	−	0.926053i	0.329691	−	0.0557418i
$277$	8.61685	−	14.9248i	0.517736	−	0.896745i	−0.482052	−	0.876143i	$-0.660108\pi$
$277$	8.61685	−	14.9248i	0.517736	−	0.896745i	0.999788	−	0.0206025i	$-0.00655846\pi$
$278$	10.1959	−	17.5170i	0.611509	−	1.05060i
$279$	−5.62110	−	2.04591i	−0.336527	−	0.122486i
$280$	0.429742	−	2.29512i	0.0256820	−	0.137159i
$281$	−18.1477	+	3.19992i	−1.08260	+	0.190891i	−0.686364	−	0.727258i	$-0.740794\pi$
$281$	−18.1477	+	3.19992i	−1.08260	+	0.190891i	−0.396234	+	0.918149i	$0.629683\pi$
$282$	3.58634	+	3.03089i	0.213564	+	0.180487i
$283$	−0.208397	+	0.248357i	−0.0123879	+	0.0147633i	−0.772203	−	0.635376i	$-0.780845\pi$
$283$	−0.208397	+	0.248357i	−0.0123879	+	0.0147633i	0.759815	+	0.650139i	$0.225290\pi$
$284$	−11.7557	+	20.0342i	−0.697570	+	1.18881i
$285$	−16.9608	+	2.56964i	−1.00467	+	0.152212i
$286$	−3.07340	+	1.76003i	−0.181734	+	0.104073i
$287$	−0.917715	−	0.770054i	−0.0541710	−	0.0454548i
$288$	5.55275	+	1.08025i	0.327199	+	0.0636541i
$289$	−1.65032	−	9.35941i	−0.0970774	−	0.550553i
$290$	46.6905	−	16.8080i	2.74176	−	0.986999i
$291$	3.40593	−	9.35772i	0.199659	−	0.548560i
$292$	13.0441	+	0.0918814i	0.763350	+	0.00537695i
$293$	24.6394	+	14.2255i	1.43945	+	0.831065i	0.997811	−	0.0661289i	$-0.0210648\pi$
$293$	24.6394	+	14.2255i	1.43945	+	0.831065i	0.441636	+	0.897194i	$0.354398\pi$
$294$	3.39708	−	9.23210i	0.198122	−	0.538427i
$295$	−11.3977	+	9.56383i	−0.663601	+	0.556828i
$296$	−0.217698	+	0.368029i	−0.0126535	+	0.0213912i
$297$	−0.749928	+	0.432971i	−0.0435152	+	0.0251235i
$298$	−13.2889	+	2.29497i	−0.769808	+	0.132944i
$299$	1.39485	−	7.91059i	0.0806663	−	0.457481i
$300$	19.6599	+	7.31286i	1.13507	+	0.422208i
$301$	−2.03796	+	0.741757i	−0.117466	+	0.0427542i
$302$	19.2646	+	3.46687i	1.10855	+	0.199496i
$303$	13.1170			0.753550
$304$	−11.7101	+	12.9180i	−0.671618	+	0.740897i
$305$	33.2030			1.90120
$306$	−3.81079	−	0.685792i	−0.217848	−	0.0392041i
$307$	7.20630	−	2.62288i	0.411285	−	0.149696i	−0.128087	−	0.991763i	$-0.540884\pi$
$307$	7.20630	−	2.62288i	0.411285	−	0.149696i	0.539372	+	0.842067i	$0.318662\pi$
$308$	0.340505	+	0.126657i	0.0194021	+	0.00721695i
$309$	−1.06130	+	6.01891i	−0.0603750	+	0.342404i
$310$	−32.8070	+	5.66570i	−1.86331	+	0.321790i
$311$	23.6264	−	13.6407i	1.33973	−	0.773493i	0.352962	−	0.935638i	$-0.385174\pi$
$311$	23.6264	−	13.6407i	1.33973	−	0.773493i	0.986767	+	0.162144i	$0.0518411\pi$
$312$	4.16459	−	7.04044i	0.235774	−	0.398586i
$313$	−22.1900	+	18.6196i	−1.25425	+	1.05244i	−0.257985	+	0.966149i	$0.583059\pi$
$313$	−22.1900	+	18.6196i	−1.25425	+	1.05244i	−0.996270	+	0.0862959i	$0.972497\pi$
$314$	−1.81313	+	4.92746i	−0.102321	+	0.278073i
$315$	−0.714946	−	0.412774i	−0.0402826	−	0.0232572i
$316$	34.2557	+	0.241294i	1.92703	+	0.0135738i
$317$	−3.22555	+	8.86213i	−0.181165	+	0.497747i	−0.996719	−	0.0809336i	$-0.974210\pi$
$317$	−3.22555	+	8.86213i	−0.181165	+	0.497747i	0.815555	+	0.578680i	$0.196432\pi$
$318$	−12.6318	+	4.54728i	−0.708356	+	0.254999i
$319$	1.34071	+	7.60357i	0.0750656	+	0.425718i
$320$	29.8060	−	10.1406i	1.66621	−	0.566875i
$321$	−1.49703	−	1.25616i	−0.0835563	−	0.0701121i
$322$	−0.715026	+	0.409469i	−0.0398468	+	0.0228188i
$323$	7.88995	−	8.95414i	0.439009	−	0.498222i
$324$	1.01218	−	1.72496i	0.0562320	−	0.0958313i
$325$	19.4969	−	23.2355i	1.08149	−	1.28887i
$326$	8.70674	+	7.35823i	0.482222	+	0.407535i
$327$	−6.99424	+	1.23327i	−0.386783	+	0.0682002i
$328$	2.97286	−	15.8771i	0.164149	−	0.876666i
$329$	−0.654488	−	0.238214i	−0.0360831	−	0.0131332i
$330$	−2.42443	+	4.16529i	−0.133460	+	0.229292i
$331$	−10.9079	+	18.8930i	−0.599552	+	1.03846i	0.393335	+	0.919395i	$0.371321\pi$
$331$	−10.9079	+	18.8930i	−0.599552	+	1.03846i	−0.992887	+	0.119060i	$0.962012\pi$
$332$	31.2939	−	5.29096i	1.71748	−	0.290379i
$333$	0.0971752	+	0.115809i	0.00532517	+	0.00634629i
$334$	0.0468697	−	13.3081i	0.00256459	−	0.728184i
$335$	19.0796	+	33.0468i	1.04243	+	1.80554i
$336$	−0.828306	+	0.134050i	−0.0451878	+	0.00731303i
$337$	14.5666	+	2.56848i	0.793492	+	0.139914i	0.555679	−	0.831397i	$-0.312458\pi$
$337$	14.5666	+	2.56848i	0.793492	+	0.139914i	0.237813	+	0.971311i	$0.423569\pi$
$338$	4.19664	+	5.03728i	0.228267	+	0.273992i
$339$	3.58675	+	9.85452i	0.194806	+	0.535224i
$340$	−20.3018	+	7.22773i	−1.10102	+	0.391979i
$341$		−	5.17994i		−	0.280509i
$342$	2.93320	+	5.42184i	0.158609	+	0.293179i
$343$			2.92756i			0.158073i
$344$	−22.2010	−	19.0322i	−1.19700	−	1.02615i
$345$	−3.73853	−	10.2715i	−0.201276	−	0.553000i
$346$	−15.9672	+	13.3026i	−0.858404	+	0.715150i
$347$	−6.08482	−	1.07292i	−0.326650	−	0.0575972i	0.00791847	−	0.999969i	$-0.497479\pi$
$347$	−6.08482	−	1.07292i	−0.326650	−	0.0575972i	−0.334568	+	0.942371i	$0.608591\pi$
$348$	−11.3659	−	13.7407i	−0.609275	−	0.736580i
$349$	5.62591	+	9.74437i	0.301148	+	0.521604i	0.976396	−	0.215987i	$-0.0692967\pi$
$349$	5.62591	+	9.74437i	0.301148	+	0.521604i	−0.675248	+	0.737591i	$0.735963\pi$
$350$	−3.11135	−	0.0109579i	−0.166309	−	0.000585723i
$351$	−1.85897	−	2.21544i	−0.0992247	−	0.118251i
$352$	0.765540	+	4.83832i	0.0408034	+	0.257883i
$353$	−9.41068	+	16.2998i	−0.500880	+	0.867550i	0.499119	+	0.866533i	$0.333657\pi$
$353$	−9.41068	+	16.2998i	−0.500880	+	0.867550i	−0.999999	+	0.00101645i	$0.999676\pi$
$354$	4.62089	+	2.68962i	0.245598	+	0.142952i
$355$	42.9511	+	15.6329i	2.27961	+	0.829710i
$356$	2.36065	−	2.77340i	0.125114	−	0.146990i
$357$	0.565610	−	0.0997324i	0.0299353	−	0.00527840i
$358$	7.42475	−	8.78545i	0.392410	−	0.464325i
$359$	−7.58505	+	9.03951i	−0.400324	+	0.477087i	−0.928119	−	0.372285i	$-0.878575\pi$
$359$	−7.58505	+	9.03951i	−0.400324	+	0.477087i	0.527795	+	0.849372i	$0.323019\pi$
$360$	0.117606	−	11.1306i	0.00619840	−	0.586633i
$361$	−18.9778	−	0.918170i	−0.998832	−	0.0483247i
$362$	2.98062	+	5.20483i	0.156658	+	0.273560i
$363$	7.85207	+	6.58867i	0.412127	+	0.345815i
$364$	−0.219105	+	1.19339i	−0.0114842	+	0.0625505i
$365$	−4.45721	−	25.2781i	−0.233301	−	1.32312i
$366$	−4.04130	−	11.2262i	−0.211242	−	0.586805i
$367$	−5.33801	+	14.6661i	−0.278642	+	0.765562i	0.718875	+	0.695139i	$0.244657\pi$
$367$	−5.33801	+	14.6661i	−0.278642	+	0.765562i	−0.997517	+	0.0704230i	$0.977565\pi$
$368$	−9.54228	−	5.68996i	−0.497426	−	0.296609i
$369$	−4.94583	−	2.85548i	−0.257470	−	0.148650i
$370$	0.789635	+	0.290557i	0.0410512	+	0.0151053i
$371$	1.52549	−	1.28004i	0.0791996	−	0.0664563i
$372$	5.90873	+	10.4028i	0.306353	+	0.539358i
$373$	13.4824	−	7.78405i	0.698090	−	0.403043i	−0.108545	−	0.994091i	$-0.534619\pi$
$373$	13.4824	−	7.78405i	0.698090	−	0.403043i	0.806636	+	0.591049i	$0.201286\pi$
$374$	−0.570598	−	3.30402i	−0.0295049	−	0.170847i
$375$	3.75042	−	21.2697i	0.193671	−	1.09836i
$376$	−1.53294	−	9.26513i	−0.0790554	−	0.477813i
$377$	−24.2308	+	8.81931i	−1.24795	+	0.454217i
$378$	−0.0525432	+	0.291970i	−0.00270253	+	0.0150173i
$379$	22.0194			1.13106			0.565530	−	0.824728i	$-0.308672\pi$
$379$	22.0194			1.13106			0.565530	+	0.824728i	$0.308672\pi$
$380$	29.1623	+	18.0733i	1.49600	+	0.927142i
$381$	18.2364			0.934279
$382$	−3.24176	+	18.0137i	−0.165863	+	0.921662i
$383$	21.8207	−	7.94210i	1.11499	−	0.405822i	0.282167	−	0.959365i	$-0.408947\pi$
$383$	21.8207	−	7.94210i	1.11499	−	0.405822i	0.832821	+	0.553543i	$0.186725\pi$
$384$	−7.05646	−	8.84344i	−0.360098	−	0.451290i
$385$	0.124137	−	0.704016i	0.00632661	−	0.0358800i
$386$	0.0351021	+	0.203257i	0.00178665	+	0.0103455i
$387$	−8.95356	+	5.16934i	−0.455135	+	0.262772i
$388$	−17.3180	+	9.83654i	−0.879187	+	0.499375i
$389$	−4.51226	+	3.78624i	−0.228781	+	0.191970i	−0.749971	−	0.661471i	$-0.769933\pi$
$389$	−4.51226	+	3.78624i	−0.228781	+	0.191970i	0.521190	+	0.853440i	$0.325488\pi$
$390$	−15.1058	−	5.55839i	−0.764913	−	0.281460i
$391$	6.58572	+	3.80227i	0.333054	+	0.192289i
$392$	−17.1416	+	9.65669i	−0.865783	+	0.487737i
$393$	−4.14092	+	11.3771i	−0.208882	+	0.573898i
$394$	−5.44134	−	15.1154i	−0.274131	−	0.761502i
$395$	−11.7053	−	66.3839i	−0.588956	−	3.34014i
$396$	1.70341	+	0.312745i	0.0855997	+	0.0157160i
$397$	−3.96864	−	3.33009i	−0.199180	−	0.167132i	0.537742	−	0.843109i	$-0.319277\pi$
$397$	−3.96864	−	3.33009i	−0.199180	−	0.167132i	−0.736923	+	0.675977i	$0.763722\pi$
$398$	3.25458	+	5.68323i	0.163138	+	0.284875i
$399$	−0.686038	−	0.604503i	−0.0343448	−	0.0302630i
$400$	−20.4621	−	36.6233i	−1.02310	−	1.83116i
$401$	16.6724	−	19.8694i	0.832582	−	0.992232i	−0.167398	−	0.985889i	$-0.553537\pi$
$401$	16.6724	−	19.8694i	0.832582	−	0.992232i	0.999980	−	0.00634288i	$-0.00201902\pi$
$402$	8.85117	−	10.4733i	0.441456	−	0.522360i
$403$	17.0370	−	3.00408i	0.848673	−	0.149644i
$404$	−19.9771	−	17.0040i	−0.993897	−	0.845980i
$405$	−3.69814	−	1.34601i	−0.183762	−	0.0668839i
$406$	2.28603	+	1.33059i	0.113454	+	0.0660363i
$407$	−0.0654556	+	0.113372i	−0.00324451	+	0.00561966i
$408$	4.91480	+	5.98452i	0.243319	+	0.296278i
$409$	7.25219	+	8.64283i	0.358598	+	0.427360i	0.914938	−	0.403594i	$-0.132239\pi$
$409$	7.25219	+	8.64283i	0.358598	+	0.427360i	−0.556340	+	0.830955i	$0.687795\pi$
$410$	−31.7847	−	0.111943i	−1.56974	−	0.00552845i
$411$	7.15007	+	12.3843i	0.352687	+	0.610871i
$412$	9.41887	−	7.79097i	0.464034	−	0.383834i
$413$	−0.781022	−	0.137715i	−0.0384316	−	0.00677653i
$414$	−3.01786	+	2.51423i	−0.148320	+	0.123568i
$415$	−21.3599	−	58.6859i	−1.04852	−	2.88078i
$416$	−15.4694	+	5.32385i	−0.758451	+	0.261023i
$417$			14.3318i			0.701833i
$418$	−3.54313	+	3.99259i	−0.173300	+	0.195284i
$419$			15.2915i			0.747037i	0.927623	+	0.373518i	$0.121849\pi$
$419$			15.2915i			0.747037i	−0.927623	+	0.373518i	$0.878151\pi$
$420$	0.553766	+	1.55546i	0.0270210	+	0.0758988i
$421$	13.5067	+	37.1092i	0.658274	+	1.80859i	0.584617	+	0.811310i	$0.301245\pi$
$421$	13.5067	+	37.1092i	0.658274	+	1.80859i	0.0736575	+	0.997284i	$0.476533\pi$
$422$	1.71403	+	2.05737i	0.0834376	+	0.100151i
$423$	−3.26981	−	0.576556i	−0.158984	−	0.0280331i
$424$	25.1330	+	9.44955i	1.22057	+	0.458911i
$425$	14.3576	+	24.8681i	0.696447	+	1.20628i
$426$	0.0578470	−	16.4249i	0.00280270	−	0.795791i
$427$	1.13761	+	1.35575i	0.0550527	+	0.0656092i
$428$	0.651572	+	3.85379i	0.0314949	+	0.186280i
$429$	1.25217	−	2.16883i	0.0604555	−	0.104712i
$430$	−28.9458	+	49.7303i	−1.39589	+	2.39821i
$431$	−8.12496	−	2.95725i	−0.391366	−	0.142445i	0.138839	−	0.990315i	$-0.455663\pi$
$431$	−8.12496	−	2.95725i	−0.391366	−	0.142445i	−0.530205	+	0.847869i	$0.677885\pi$
$432$	−3.77767	+	1.31499i	−0.181753	+	0.0632677i
$433$	−7.20103	+	1.26974i	−0.346059	+	0.0610196i	−0.343977	−	0.938978i	$-0.611774\pi$
$433$	−7.20103	+	1.26974i	−0.346059	+	0.0610196i	−0.00208276	+	0.999998i	$0.500663\pi$
$434$	−1.35538	−	1.14546i	−0.0650604	−	0.0549838i
$435$	−22.5550	+	26.8799i	−1.08143	+	1.28879i
$436$	12.2509	+	7.18861i	0.586714	+	0.344272i
$437$	−1.81354	−	11.9702i	−0.0867532	−	0.572611i
$438$	−8.00426	+	4.58375i	−0.382458	+	0.219020i
$439$	11.4550	+	9.61190i	0.546718	+	0.458751i	0.873828	−	0.486235i	$-0.161630\pi$
$439$	11.4550	+	9.61190i	0.546718	+	0.458751i	−0.327110	+	0.944986i	$0.606075\pi$
$440$	9.09201	−	3.20084i	0.433444	−	0.152594i
$441$	1.20790	+	6.85032i	0.0575189	+	0.326206i
$442$	10.5361	−	3.79287i	0.501153	−	0.180408i
$443$	6.11614	−	16.8039i	0.290586	−	0.798380i	−0.705395	−	0.708815i	$-0.749230\pi$
$443$	6.11614	−	16.8039i	0.290586	−	0.798380i	0.995981	−	0.0895648i	$-0.0285476\pi$
$444$	0.00212971	−	0.302348i	0.000101071	−	0.0143488i
$445$	−6.20644	−	3.58329i	−0.294213	−	0.169864i
$446$	−3.82144	+	10.3854i	−0.180951	+	0.491762i
$447$	7.30485	−	6.12949i	0.345507	−	0.289915i
$448$	1.43528	+	0.869604i	0.0678106	+	0.0410849i
$449$	−15.4628	+	8.92745i	−0.729735	+	0.421313i	−0.818325	−	0.574756i	$-0.805097\pi$
$449$	−15.4628	+	8.92745i	−0.729735	+	0.421313i	0.0885903	+	0.996068i	$0.471764\pi$
$450$	−14.6159	+	2.52413i	−0.688999	+	0.118989i
$451$	0.858752	−	4.87022i	0.0404371	−	0.229330i
$452$	7.31215	−	19.6580i	0.343935	−	0.924636i
$453$	−13.0062	+	4.73388i	−0.611086	+	0.222417i
$454$	−37.8774	−	6.81643i	−1.77767	−	0.319911i
$455$	2.38753			0.111929
$456$	2.56127	−	12.0598i	0.119942	−	0.564754i
$457$	33.7501			1.57876			0.789382	−	0.613902i	$-0.210401\pi$
$457$	33.7501			1.57876			0.789382	+	0.613902i	$0.210401\pi$
$458$	10.9413	+	1.96901i	0.511254	+	0.0920056i
$459$	2.57280	−	0.936424i	0.120088	−	0.0437085i
$460$	−7.62157	+	20.4899i	−0.355357	+	0.955345i
$461$	2.27764	−	12.9171i	0.106080	−	0.601611i	−0.884703	−	0.466155i	$-0.845639\pi$
$461$	2.27764	−	12.9171i	0.106080	−	0.601611i	0.990783	−	0.135456i	$-0.0432499\pi$
$462$	−0.253144	+	0.0437174i	−0.0117773	+	0.00203392i
$463$	−28.6823	+	16.5597i	−1.33298	+	0.769595i	−0.985755	−	0.168188i	$-0.946208\pi$
$463$	−28.6823	+	16.5597i	−1.33298	+	0.769595i	−0.347223	+	0.937783i	$0.612875\pi$
$464$	−0.502410	+	35.6610i	−0.0233238	+	1.65552i
$465$	18.0338	−	15.1322i	0.836297	−	0.701737i
$466$	−0.913821	+	2.48345i	−0.0423319	+	0.115044i
$467$	−16.1123	−	9.30244i	−0.745588	−	0.430465i	0.0785095	−	0.996913i	$-0.474984\pi$
$467$	−16.1123	−	9.30244i	−0.745588	−	0.430465i	−0.824098	+	0.566448i	$0.808317\pi$
$468$	−0.0407415	+	5.78396i	−0.00188328	+	0.267363i
$469$	−0.695663	+	1.91132i	−0.0321227	+	0.0882565i
$470$	−17.3869	+	6.25906i	−0.801999	+	0.288709i
$471$	−0.644692	−	3.65623i	−0.0297058	−	0.168470i
$472$	−3.55096	−	10.0865i	−0.163446	−	0.464269i
$473$	−6.85817	−	5.75469i	−0.315339	−	0.264601i
$474$	−21.0203	+	12.0376i	−0.965494	+	0.552904i
$475$	16.6695	−	42.5686i	0.764850	−	1.95318i
$476$	−0.990709	−	0.581328i	−0.0454091	−	0.0266451i
$477$	6.10209	−	7.27218i	0.279395	−	0.332970i
$478$	−4.61284	−	3.89840i	−0.210986	−	0.178309i
$479$	15.1913	−	2.67863i	0.694106	−	0.122390i	0.184545	−	0.982824i	$-0.440919\pi$
$479$	15.1913	−	2.67863i	0.694106	−	0.122390i	0.509561	+	0.860434i	$0.329808\pi$
$480$	−14.6081	+	16.7994i	−0.666765	+	0.766783i
$481$	−0.410846	−	0.149536i	−0.0187330	−	0.00681825i
$482$	3.10885	−	5.34116i	0.141604	−	0.243283i
$483$	0.291317	−	0.504577i	0.0132554	−	0.0229590i
$484$	−3.41754	−	20.2134i	−0.155343	−	0.918792i
$485$	25.1912	+	30.0217i	1.14387	+	1.36322i
$486$	−0.00498069	+	1.41420i	−0.000225929	+	0.0641496i
$487$	0.954158	+	1.65265i	0.0432370	+	0.0748887i	0.886834	−	0.462088i	$-0.152900\pi$
$487$	0.954158	+	1.65265i	0.0432370	+	0.0748887i	−0.843597	+	0.536977i	$0.819566\pi$
$488$	−8.39809	+	22.3364i	−0.380164	+	1.01112i
$489$	−7.93827	−	1.39973i	−0.358981	−	0.0632981i
$490$	24.7805	+	29.7444i	1.11947	+	1.34371i
$491$	12.5011	+	34.3464i	0.564166	+	1.55003i	0.813469	+	0.581608i	$0.197576\pi$
$491$	12.5011	+	34.3464i	0.564166	+	1.55003i	−0.249304	+	0.968425i	$0.580202\pi$
$492$	3.83083	+	10.7603i	0.172707	+	0.485113i
$493$		−	24.4117i		−	1.09945i
$494$	−15.1866	−	9.33799i	−0.683276	−	0.420136i
$495$		−	3.40789i		−	0.153173i
$496$	4.48649	−	23.5030i	0.201449	−	1.05532i
$497$	0.833274	+	2.28940i	0.0373775	+	0.102694i
$498$	−17.2424	+	14.3649i	−0.772651	+	0.643708i
$499$	−8.46805	−	1.49315i	−0.379082	−	0.0668424i	−0.0191394	−	0.999817i	$-0.506093\pi$
$499$	−8.46805	−	1.49315i	−0.379082	−	0.0668424i	−0.359943	+	0.932974i	$0.617204\pi$
$500$	−33.2845	+	27.5318i	−1.48853	+	1.23126i
$501$	4.70514	+	8.14954i	0.210210	+	0.364094i
$502$	13.1317	+	0.0462485i	0.586096	+	0.00206417i
$503$	11.4192	+	13.6089i	0.509159	+	0.606792i	0.957982	−	0.286829i	$-0.0926010\pi$
$503$	11.4192	+	13.6089i	0.509159	+	0.606792i	−0.448823	+	0.893621i	$0.648157\pi$
$504$	0.458515	−	0.376556i	0.0204239	−	0.0167731i
$505$	−25.8108	+	44.7055i	−1.14856	+	1.98937i
$506$	−2.93968	−	1.71105i	−0.130685	−	0.0760657i
$507$	−4.35646	−	1.58562i	−0.193477	−	0.0704200i
$508$	−27.7740	−	23.6405i	−1.23227	−	1.04888i
$509$	−13.5154	+	2.38313i	−0.599059	+	0.105630i	−0.464951	−	0.885336i	$-0.653928\pi$
$509$	−13.5154	+	2.38313i	−0.599059	+	0.105630i	−0.134108	+	0.990967i	$0.542817\pi$
$510$	9.83597	−	11.6386i	0.435544	−	0.515364i
$511$	0.879444	−	1.04808i	0.0389043	−	0.0463644i
$512$	−0.717101	+	22.6161i	−0.0316917	+	0.999498i
$513$	−3.72114	−	2.27005i	−0.164292	−	0.100225i
$514$	−10.5089	−	18.3509i	−0.463529	−	0.809426i
$515$	−18.4254	−	15.4608i	−0.811921	−	0.681283i
$516$	20.3374	+	3.73393i	0.895306	+	0.164377i
$517$	−0.499264	−	2.83146i	−0.0219576	−	0.124528i
$518$	0.0151906	+	0.0421976i	0.000667435	+	0.00185405i
$519$	5.02613	−	13.8092i	0.220623	−	0.606156i
$520$	15.8005	+	28.0476i	0.692900	+	1.22997i
$521$	−6.24273	−	3.60424i	−0.273499	−	0.157905i	0.356978	−	0.934113i	$-0.383807\pi$
$521$	−6.24273	−	3.60424i	−0.273499	−	0.157905i	−0.630477	+	0.776208i	$0.717141\pi$
$522$	11.8336	+	4.35435i	0.517944	+	0.190585i
$523$	−28.6996	+	24.0819i	−1.25495	+	1.05303i	−0.258747	+	0.965945i	$0.583309\pi$
$523$	−28.6996	+	24.0819i	−1.25495	+	1.05303i	−0.996201	+	0.0870811i	$0.972246\pi$
$524$	21.0551	−	11.9592i	0.919797	−	0.522441i
$525$	1.90532	−	1.10004i	0.0831549	−	0.0480095i
$526$	−5.98088	−	34.6321i	−0.260779	−	1.51003i
$527$	−2.84398	+	16.1290i	−0.123886	+	0.702591i
$528$	−2.18887	−	2.68450i	−0.0952582	−	0.116828i
$529$	−14.3637	+	5.22798i	−0.624511	+	0.227303i
$530$	9.35793	−	51.9999i	0.406482	−	2.25873i
$531$	−3.78065			−0.164066
$532$	0.261194	+	1.80999i	0.0113242	+	0.0784730i
$533$	16.5164			0.715403
$534$	−0.456127	+	2.53459i	−0.0197385	+	0.109683i
$535$	7.22705	−	2.63043i	0.312453	−	0.113723i
$536$	−27.0572	+	4.47668i	−1.16869	+	0.193363i
$537$	−1.41239	+	8.01004i	−0.0609489	+	0.345659i
$538$	−1.47088	−	8.51705i	−0.0634140	−	0.367196i
$539$	−5.21650	+	3.01174i	−0.224690	+	0.129725i
$540$	3.88737	+	6.84400i	0.167286	+	0.294519i
$541$	−1.58880	+	1.33316i	−0.0683079	+	0.0573172i	−0.676302	−	0.736624i	$-0.736419\pi$
$541$	−1.58880	+	1.33316i	−0.0683079	+	0.0573172i	0.607994	+	0.793941i	$0.291974\pi$
$542$	5.04861	+	1.85771i	0.216856	+	0.0797953i
$543$	−3.67293	−	2.12057i	−0.157620	−	0.0910022i
$544$	0.272721	−	15.4856i	0.0116928	−	0.663940i
$545$	9.55957	−	26.2647i	0.409487	−	1.12506i
$546$	−0.290597	−	0.807245i	−0.0124364	−	0.0345469i
$547$	2.71682	+	15.4078i	0.116163	+	0.658791i	0.986168	+	0.165749i	$0.0530041\pi$
$547$	2.71682	+	15.4078i	0.116163	+	0.658791i	−0.870005	+	0.493042i	$0.835885\pi$
$548$	5.16465	−	28.1301i	0.220623	−	1.20166i
$549$	6.46300	+	5.42310i	0.275834	+	0.231452i
$550$	−6.38272	−	11.1457i	−0.272160	−	0.475252i
$551$	−30.3671	+	24.2548i	−1.29368	+	1.03329i
$552$	7.85547	+	0.0830013i	0.334351	+	0.00353277i
$553$	2.30954	−	2.75241i	0.0982118	−	0.117044i
$554$	15.7318	−	18.6148i	0.668378	−	0.790869i
$555$	−0.585918	+	0.103313i	−0.0248708	+	0.00438540i
$556$	18.5788	−	21.8273i	0.787919	−	0.925684i
$557$	−1.47433	−	0.536611i	−0.0624693	−	0.0227370i	0.310597	−	0.950542i	$-0.399471\pi$
$557$	−1.47433	−	0.536611i	−0.0624693	−	0.0227370i	−0.373066	+	0.927805i	$0.621693\pi$
$558$	−7.31130	−	4.25559i	−0.309512	−	0.180153i
$559$	14.9500	−	25.8941i	0.632317	−	1.09521i
$560$	1.17302	−	3.08683i	0.0495690	−	0.130442i
$561$	1.52397	+	1.81620i	0.0643422	+	0.0766800i
$562$	−26.0604	−	0.0917822i	−1.09929	−	0.00387160i
$563$	−2.67277	−	4.62937i	−0.112644	−	0.195105i	0.804192	−	0.594370i	$-0.202599\pi$
$563$	−2.67277	−	4.62937i	−0.112644	−	0.195105i	−0.916835	+	0.399265i	$0.869265\pi$
$564$	4.23250	+	5.11686i	0.178220	+	0.215459i
$565$	−40.6442	−	7.16667i	−1.70991	−	0.301504i
$566$	−0.352266	+	0.293479i	−0.0148069	+	0.0123358i
$567$	−0.0717458	−	0.197120i	−0.00301304	−	0.00827826i
$568$	−21.3803	+	24.9401i	−0.897098	+	1.04646i
$569$			7.29290i			0.305734i	0.988247	+	0.152867i	$0.0488507\pi$
$569$			7.29290i			0.305734i	−0.988247	+	0.152867i	$0.951149\pi$
$570$	−24.2506	−	0.671760i	−1.01575	−	0.0281369i
$571$		−	35.8008i		−	1.49822i	−0.662448	−	0.749108i	$-0.730482\pi$
$571$		−	35.8008i		−	1.49822i	0.662448	−	0.749108i	$-0.269518\pi$
$572$	−4.71858	+	1.67988i	−0.197294	+	0.0702393i
$573$	−4.42651	−	12.1617i	−0.184920	−	0.508063i
$574$	−1.08444	−	1.30167i	−0.0452638	−	0.0543307i
$575$	28.6876	+	5.05840i	1.19636	+	0.210950i
$576$	7.45805	+	2.89439i	0.310752	+	0.120600i
$577$	−7.89890	−	13.6813i	−0.328836	−	0.569560i	0.653445	−	0.756974i	$-0.273323\pi$
$577$	−7.89890	−	13.6813i	−0.328836	−	0.569560i	−0.982281	+	0.187414i	$0.939990\pi$
$578$	0.0473354	−	13.4403i	0.00196889	−	0.559043i
$579$	−0.0937519	−	0.111729i	−0.00389619	−	0.00464330i
$580$	69.1965	−	11.6993i	2.87323	−	0.485786i
$581$	1.66443	−	2.88288i	0.0690522	−	0.119602i
$582$	7.08448	−	12.1715i	0.293661	−	0.504524i
$583$	7.72477	+	2.81159i	0.319927	+	0.116444i
$584$	18.1325	+	3.39517i	0.750329	+	0.140493i
$585$	11.2087	−	1.97639i	0.463422	−	0.0817138i
$586$	30.7312	+	25.9715i	1.26950	+	1.07287i
$587$	−11.0661	+	13.1881i	−0.456749	+	0.544332i	−0.944440	−	0.328684i	$-0.893395\pi$
$587$	−11.0661	+	13.1881i	−0.456749	+	0.544332i	0.487691	+	0.873016i	$0.337839\pi$
$588$	7.04069	−	11.9988i	0.290353	−	0.494824i
$589$	22.8895	−	12.4876i	0.943146	−	0.514541i
$590$	−18.2595	+	10.4566i	−0.751733	+	0.430490i
$591$	8.70200	+	7.30184i	0.357952	+	0.300358i
$592$	−0.395188	+	0.457714i	−0.0162421	+	0.0188119i
$593$	0.342331	+	1.94146i	0.0140579	+	0.0797260i	0.991030	−	0.133643i	$-0.0426675\pi$
$593$	0.342331	+	1.94146i	0.0140579	+	0.0797260i	−0.976972	+	0.213369i	$0.931556\pi$
$594$	−1.15224	+	0.414792i	−0.0472770	+	0.0170191i
$595$	−0.773063	+	2.12397i	−0.0316925	+	0.0870744i
$596$	−19.0711	−	0.134335i	−0.781184	−	0.00550257i
$597$	−4.01052	−	2.31548i	−0.164140	−	0.0947662i
$598$	3.92287	−	10.6610i	0.160418	−	0.435961i
$599$	17.5707	−	14.7435i	0.717918	−	0.602404i	−0.208891	−	0.977939i	$-0.566985\pi$
$599$	17.5707	−	14.7435i	0.717918	−	0.602404i	0.926808	+	0.375535i	$0.122541\pi$
$600$	25.5320	+	15.1028i	1.04234	+	0.616571i
$601$	7.34871	−	4.24278i	0.299760	−	0.173067i	−0.342575	−	0.939491i	$-0.611299\pi$
$601$	7.34871	−	4.24278i	0.299760	−	0.173067i	0.642335	+	0.766424i	$0.277966\pi$
$602$	−3.02234	+	0.521952i	−0.123181	+	0.0212732i
$603$	−1.68373	+	9.54890i	−0.0685668	+	0.388861i
$604$	25.9451	+	9.65075i	1.05569	+	0.392683i
$605$	−37.9065	+	13.7968i	−1.54112	+	0.560920i
$606$	18.2569	+	3.28553i	0.741637	+	0.133465i
$607$	−16.4542			−0.667855			−0.333928	−	0.942599i	$-0.608374\pi$
$607$	−16.4542			−0.667855			−0.333928	+	0.942599i	$0.608374\pi$
$608$	−19.5344	+	15.0468i	−0.792225	+	0.610230i
$609$	−1.87035			−0.0757903
$610$	46.2138	+	8.31666i	1.87114	+	0.336732i
$611$	9.02324	−	3.28419i	0.365041	−	0.132864i
$612$	−5.13229	−	1.90905i	−0.207460	−	0.0771686i
$613$	−3.12517	+	17.7237i	−0.126224	+	0.715853i	0.854349	+	0.519700i	$0.173956\pi$
$613$	−3.12517	+	17.7237i	−0.126224	+	0.715853i	−0.980573	+	0.196154i	$0.937155\pi$
$614$	10.6871	−	1.84564i	0.431296	−	0.0744839i
$615$	19.4642	−	11.2377i	0.784872	−	0.453146i
$616$	0.442209	+	0.261578i	0.0178171	+	0.0105393i
$617$	−0.667321	+	0.559949i	−0.0268653	+	0.0225427i	−0.656121	−	0.754655i	$-0.727804\pi$
$617$	−0.667321	+	0.559949i	−0.0268653	+	0.0225427i	0.629256	+	0.777198i	$0.283360\pi$
$618$	−2.98478	+	8.11161i	−0.120065	+	0.326297i
$619$	17.2683	+	9.96987i	0.694073	+	0.400723i	0.805136	−	0.593090i	$-0.202092\pi$
$619$	17.2683	+	9.96987i	0.694073	+	0.400723i	−0.111063	+	0.993813i	$0.535426\pi$
$620$	−47.0817	−	0.331639i	−1.89085	−	0.0133189i
$621$	0.949955	−	2.60998i	0.0381204	−	0.104735i
$622$	36.3012	−	13.0680i	1.45555	−	0.523977i
$623$	−0.0663330	−	0.376193i	−0.00265757	−	0.0150719i
$624$	7.55999	−	8.75612i	0.302642	−	0.350526i
$625$	24.9407	+	20.9277i	0.997628	+	0.837109i
$626$	−35.5491	+	20.3577i	−1.42083	+	0.813658i
$627$	0.745096	−	3.70028i	0.0297563	−	0.147775i
$628$	−3.75783	+	6.40416i	−0.149954	+	0.255554i
$629$	0.266058	−	0.317076i	0.0106084	−	0.0126426i
$630$	−0.891709	−	0.753600i	−0.0355265	−	0.0300242i
$631$	−22.0544	+	3.88878i	−0.877970	+	0.154810i	−0.594427	−	0.804150i	$-0.702621\pi$
$631$	−22.0544	+	3.88878i	−0.877970	+	0.154810i	−0.283543	+	0.958959i	$0.591510\pi$
$632$	47.6185	+	8.91619i	1.89416	+	0.354667i
$633$	−1.77931	−	0.647614i	−0.0707210	−	0.0257404i
$634$	−6.70927	+	11.5269i	−0.266459	+	0.457790i
$635$	−35.8845	+	62.1537i	−1.42403	+	2.46650i
$636$	−18.7206	+	3.16516i	−0.742322	+	0.125507i
$637$	−12.9310	−	15.4106i	−0.512345	−	0.610589i
$638$	−0.0384552	+	10.9189i	−0.00152246	+	0.432283i
$639$	5.80713	+	10.0582i	0.229726	+	0.397898i
$640$	44.0257	−	6.64841i	1.74027	−	0.262802i
$641$	45.2010	+	7.97015i	1.78533	+	0.314802i	0.966005	−	0.258525i	$-0.0832363\pi$
$641$	45.2010	+	7.97015i	1.78533	+	0.314802i	0.819327	+	0.573327i	$0.194347\pi$
$642$	−1.76901	−	2.12337i	−0.0698174	−	0.0838027i
$643$	7.82012	+	21.4856i	0.308395	+	0.847310i	0.992970	+	0.118367i	$0.0377658\pi$
$643$	7.82012	+	21.4856i	0.308395	+	0.847310i	−0.684575	+	0.728943i	$0.740012\pi$
$644$	−1.09778	+	0.390823i	−0.0432584	+	0.0154006i
$645$		−	40.6876i		−	1.60207i
$646$	13.2245	−	10.4866i	0.520311	−	0.412590i
$647$			6.37749i			0.250725i	0.992111	+	0.125362i	$0.0400094\pi$
$647$			6.37749i			0.250725i	−0.992111	+	0.125362i	$0.959991\pi$
$648$	1.84087	−	2.14737i	0.0723161	−	0.0843567i
$649$	−1.11972	−	3.07639i	−0.0439527	−	0.120759i
$650$	32.9568	−	27.4568i	1.29267	−	1.07695i
$651$	1.23575	+	0.217897i	0.0484330	+	0.00854005i
$652$	10.2754	+	12.4224i	0.402417	+	0.486501i
$653$	−20.6208	−	35.7162i	−0.806953	−	1.39768i	−0.914964	−	0.403535i	$-0.867781\pi$
$653$	−20.6208	−	35.7162i	−0.806953	−	1.39768i	0.108011	−	0.994150i	$-0.465552\pi$
$654$	−10.0439	−	0.0353736i	−0.392747	−	0.00138322i
$655$	−30.6274	−	36.5003i	−1.19671	−	1.42618i
$656$	8.11467	−	21.3540i	0.316824	−	0.833733i
$657$	3.26111	−	5.64841i	0.127228	−	0.220366i
$658$	−0.851285	−	0.495495i	−0.0331865	−	0.0193164i
$659$	11.8817	+	4.32460i	0.462847	+	0.168462i	0.562909	−	0.826519i	$-0.309682\pi$
$659$	11.8817	+	4.32460i	0.462847	+	0.168462i	−0.100062	+	0.994981i	$0.531904\pi$
$660$	−4.41777	+	5.19021i	−0.171962	+	0.202029i
$661$	0.353109	−	0.0622626i	0.0137343	−	0.00242173i	−0.166777	−	0.985995i	$-0.553336\pi$
$661$	0.353109	−	0.0622626i	0.0137343	−	0.00242173i	0.180511	+	0.983573i	$0.442225\pi$
$662$	−19.9145	+	23.5642i	−0.774000	+	0.915847i
$663$	−5.08972	+	6.06569i	−0.197668	+	0.235572i
$664$	44.8819	+	0.474225i	1.74176	+	0.0184035i
$665$	3.41022	−	1.14867i	0.132243	−	0.0445433i
$666$	0.106246	+	0.185530i	0.00411695	+	0.00718912i
$667$	−18.9707	−	15.9183i	−0.734547	−	0.616358i
$668$	3.39863	−	18.5111i	0.131497	−	0.716218i
$669$	−1.35879	−	7.70607i	−0.0525337	−	0.297934i
$670$	18.2785	+	50.7755i	0.706160	+	1.96163i
$671$	−2.49874	+	6.86522i	−0.0964627	+	0.265029i
$672$	−1.18646	−	0.0208950i	−0.0457686	−	0.000806043i
$673$	−6.45905	−	3.72913i	−0.248978	−	0.143747i	0.370318	−	0.928905i	$-0.379249\pi$
$673$	−6.45905	−	3.72913i	−0.248978	−	0.143747i	−0.619296	+	0.785157i	$0.712582\pi$
$674$	19.6312	+	7.22358i	0.756166	+	0.278242i
$675$	8.03426	−	6.74154i	0.309239	−	0.259482i
$676$	4.57937	+	8.06233i	0.176130	+	0.310090i
$677$	9.14972	−	5.28259i	0.351652	−	0.203026i	−0.313761	−	0.949502i	$-0.601589\pi$
$677$	9.14972	−	5.28259i	0.351652	−	0.203026i	0.665413	+	0.746476i	$0.268256\pi$
$678$	2.52389	+	14.6145i	0.0969293	+	0.561265i
$679$	−0.362743	+	2.05722i	−0.0139208	+	0.0789489i
$680$	−30.0676	+	4.97477i	−1.15304	+	0.190774i
$681$	25.5724	−	9.30759i	0.979936	−	0.356668i
$682$	1.29747	−	7.20972i	0.0496826	−	0.276075i
$683$	−0.943220			−0.0360913			−0.0180457	−	0.999837i	$-0.505744\pi$
$683$	−0.943220			−0.0360913			−0.0180457	+	0.999837i	$0.505744\pi$
$684$	2.72453	+	8.28112i	0.104175	+	0.316636i
$685$	−56.2778			−2.15027
$686$	−0.733293	+	4.07474i	−0.0279972	+	0.155574i
$687$	−7.38688	+	2.68861i	−0.281827	+	0.102577i
$688$	−26.1334	−	32.0509i	−0.996326	−	1.22193i
$689$	−4.76746	+	27.0376i	−0.181626	+	1.03005i
$690$	−2.63069	−	15.2329i	−0.100149	−	0.579906i
$691$	−10.4176	+	6.01463i	−0.396306	+	0.228807i	−0.684889	−	0.728648i	$-0.740149\pi$
$691$	−10.4176	+	6.01463i	−0.396306	+	0.228807i	0.288583	+	0.957455i	$0.406816\pi$
$692$	−25.5561	+	14.5158i	−0.971497	+	0.551807i
$693$	0.139151	−	0.116762i	0.00528593	−	0.00443542i
$694$	−8.20044	−	3.01746i	−0.311284	−	0.114541i
$695$	−48.8461	−	28.2013i	−1.85284	−	1.06974i
$696$	−12.3779	−	21.9720i	−0.469182	−	0.832847i
$697$	−5.34787	+	14.6932i	−0.202565	+	0.556543i
$698$	5.38970	+	14.9719i	0.204003	+	0.566696i
$699$	−0.324927	−	1.84275i	−0.0122899	−	0.0696992i
$700$	−4.32780	−	0.794580i	−0.163576	−	0.0300323i
$701$	−21.1942	−	17.7840i	−0.800494	−	0.671694i	0.147825	−	0.989014i	$-0.452773\pi$
$701$	−21.1942	−	17.7840i	−0.800494	−	0.671694i	−0.948319	+	0.317320i	$0.897217\pi$
$702$	−2.03250	−	3.54920i	−0.0767118	−	0.133956i
$703$	−0.658776	−	0.0159269i	−0.0248462	−	0.000600694i
$704$	−0.146377	+	6.92599i	−0.00551679	+	0.261033i
$705$	8.39916	−	10.0097i	0.316331	−	0.376988i
$706$	−17.1811	+	20.3297i	−0.646618	+	0.765120i
$707$	−2.70975	+	0.477803i	−0.101911	+	0.0179696i
$708$	5.75792	+	4.90099i	0.216396	+	0.184191i
$709$	18.1451	+	6.60427i	0.681453	+	0.248029i	0.659471	−	0.751730i	$-0.270780\pi$
$709$	18.1451	+	6.60427i	0.681453	+	0.248029i	0.0219818	+	0.999758i	$0.493002\pi$
$710$	55.8660	+	32.5171i	2.09661	+	1.22035i
$711$	8.56414	−	14.8335i	0.321180	−	0.556301i
$712$	3.98036	−	3.26888i	0.149170	−	0.122506i
$713$	10.6796	+	12.7274i	0.399954	+	0.476647i
$714$	0.812228	+	0.00286059i	0.0303969	+	0.000107055i
$715$	4.92790	+	8.53537i	0.184293	+	0.319205i
$716$	12.5347	−	10.3683i	0.468446	−	0.387483i
$717$	4.20570	+	0.741579i	0.157065	+	0.0276948i
$718$	−12.8215	+	10.6818i	−0.478494	+	0.398641i
$719$	4.78669	+	13.1513i	0.178513	+	0.490462i	0.996386	−	0.0849373i	$-0.0270690\pi$
$719$	4.78669	+	13.1513i	0.178513	+	0.490462i	−0.817873	+	0.575399i	$0.804847\pi$
$720$	2.95167	−	15.4627i	0.110002	−	0.576261i
$721$		−	1.28207i		−	0.0477467i
$722$	−26.1844	−	6.03150i	−0.974481	−	0.224469i
$723$			4.36995i			0.162520i
$724$	2.84489	+	7.99096i	0.105730	+	0.296982i
$725$	−31.9831	−	87.8728i	−1.18782	−	3.26352i
$726$	9.27861	+	11.1372i	0.344362	+	0.413342i
$727$	−7.95695	−	1.40303i	−0.295107	−	0.0520353i	0.0241345	−	0.999709i	$-0.492317\pi$
$727$	−7.95695	−	1.40303i	−0.295107	−	0.0520353i	−0.319241	+	0.947673i	$0.603428\pi$
$728$	−0.603881	+	1.60614i	−0.0223813	+	0.0595276i
$729$	−0.500000	−	0.866025i	−0.0185185	−	0.0320750i
$730$	0.127845	−	36.2999i	0.00473174	−	1.34352i
$731$	18.1951	+	21.6840i	0.672969	+	0.802013i
$732$	−2.81296	−	16.6376i	−0.103970	−	0.614942i
$733$	−11.3292	+	19.6227i	−0.418452	+	0.724780i	−0.995784	−	0.0917295i	$-0.970760\pi$
$733$	−11.3292	+	19.6227i	−0.418452	+	0.724780i	0.577332	+	0.816509i	$0.304094\pi$
$734$	−11.1033	+	19.0760i	−0.409829	+	0.704107i
$735$	−25.7242	−	9.36286i	−0.948853	−	0.345354i
$736$	−11.8563	−	10.3097i	−0.437027	−	0.380022i
$737$	−8.26880	+	1.45801i	−0.304585	+	0.0537066i
$738$	−6.16864	−	5.21324i	−0.227071	−	0.191902i
$739$	9.18420	−	10.9453i	0.337846	−	0.402630i	−0.570195	−	0.821509i	$-0.693133\pi$
$739$	9.18420	−	10.9453i	0.337846	−	0.402630i	0.908042	+	0.418879i	$0.137577\pi$
$740$	1.02628	+	0.602200i	0.0377268	+	0.0221373i
$741$	12.6025	+	0.304683i	0.462963	+	0.0111928i
$742$	2.44389	−	1.39953i	0.0897179	−	0.0513782i
$743$	31.0594	+	26.0620i	1.13946	+	0.956121i	0.999421	−	0.0340249i	$-0.0108326\pi$
$743$	31.0594	+	26.0620i	1.13946	+	0.956121i	0.140040	+	0.990146i	$0.455277\pi$
$744$	5.61842	+	15.9591i	0.205981	+	0.585090i
$745$	6.51665	+	36.9578i	0.238752	+	1.35403i
$746$	20.7152	−	7.45721i	0.758439	−	0.273028i
$747$	5.42753	−	14.9120i	0.198583	−	0.545602i
$748$	0.0333996	−	4.74164i	0.00122121	−	0.173372i
$749$	0.355021	+	0.204971i	0.0129722	+	0.00748949i
$750$	10.5476	−	28.6649i	0.385146	−	1.04669i
$751$	−13.7493	+	11.5370i	−0.501718	+	0.420991i	−0.858204	−	0.513310i	$-0.828419\pi$
$751$	−13.7493	+	11.5370i	−0.501718	+	0.420991i	0.356486	+	0.934301i	$0.383975\pi$
$752$	0.187091	−	13.2797i	0.00682249	−	0.484260i
$753$	−8.04153	+	4.64278i	−0.293050	+	0.169192i
$754$	−35.9349	+	6.20588i	−1.30867	+	0.226005i
$755$	9.45874	−	53.6432i	0.344239	−	1.95227i
$756$	−0.146265	+	0.393220i	−0.00531961	+	0.0143013i
$757$	44.5914	−	16.2299i	1.62070	−	0.589887i	0.637185	−	0.770711i	$-0.280099\pi$
$757$	44.5914	−	16.2299i	1.62070	−	0.589887i	0.983516	+	0.180824i	$0.0578764\pi$
$758$	30.6478	+	5.51539i	1.11318	+	0.200328i
$759$	2.40514			0.0873011
$760$	36.0627	+	32.4600i	1.30813	+	1.17745i
$761$	−35.8628			−1.30003			−0.650014	−	0.759923i	$-0.725237\pi$
$761$	−35.8628			−1.30003			−0.650014	+	0.759923i	$0.725237\pi$
$762$	25.3824	+	4.56784i	0.919509	+	0.165475i
$763$	1.39997	−	0.509549i	0.0506825	−	0.0184469i
$764$	−9.02412	+	24.2605i	−0.326481	+	0.877714i
$765$	−1.87106	+	10.6113i	−0.0676484	+	0.383653i
$766$	32.3606	−	5.58861i	1.16924	−	0.201925i
$767$	9.46898	−	5.46692i	0.341905	−	0.197399i
$768$	−7.60647	−	14.0763i	−0.274475	−	0.507934i
$769$	12.1897	−	10.2284i	0.439573	−	0.368845i	−0.395977	−	0.918261i	$-0.629594\pi$
$769$	12.1897	−	10.2284i	0.439573	−	0.368845i	0.835550	+	0.549415i	$0.185149\pi$
$770$	0.349122	−	0.948795i	0.0125815	−	0.0341922i
$771$	12.9498	+	7.47659i	0.466377	+	0.269263i
$772$	−0.00205468	+	0.291697i	−7.39495e−5	+	0.0104984i
$773$	−2.36474	+	6.49707i	−0.0850538	+	0.233683i	−0.974927	−	0.222524i	$-0.928570\pi$
$773$	−2.36474	+	6.49707i	−0.0850538	+	0.233683i	0.889873	+	0.456208i	$0.150793\pi$
$774$	−13.7569	+	4.95229i	−0.494481	+	0.178007i
$775$	10.8943	+	61.7844i	0.391333	+	2.21936i
$776$	−26.5679	+	9.35325i	−0.953734	+	0.335762i
$777$	−0.0242933	−	0.0203845i	−0.000871518	−	0.000731291i
$778$	−7.22879	+	4.13967i	−0.259165	+	0.148414i
$779$	23.5912	−	7.94621i	0.845241	−	0.284702i
$780$	−19.6328	−	11.5202i	−0.702968	−	0.412488i
$781$	−6.46469	+	7.70432i	−0.231325	+	0.275682i
$782$	8.21397	+	6.94179i	0.293731	+	0.248238i
$783$	−8.78069	+	1.54827i	−0.313796	+	0.0553307i
$784$	−26.2775	+	9.14710i	−0.938481	+	0.326682i
$785$	13.7298	+	4.99725i	0.490039	+	0.178359i
$786$	−8.61328	+	14.7980i	−0.307226	+	0.527829i
$787$	−24.7329	+	42.8387i	−0.881633	+	1.52703i	−0.0321080	+	0.999484i	$0.510222\pi$
$787$	−24.7329	+	42.8387i	−0.881633	+	1.52703i	−0.849525	+	0.527549i	$0.823111\pi$
$788$	−3.78747	−	22.4014i	−0.134923	−	0.798016i
$789$	15.9740	+	19.0370i	0.568688	+	0.677736i
$790$	0.335738	−	95.3287i	0.0119450	−	3.39164i
$791$	−1.09993	−	1.90513i	−0.0391090	−	0.0677387i
$792$	2.29257	+	0.861964i	0.0814628	+	0.0306286i
$793$	−24.0291	−	4.23698i	−0.853298	−	0.150459i
$794$	−4.68966	−	5.62906i	−0.166430	−	0.199768i
$795$	12.7779	+	35.1070i	0.453186	+	1.24512i
$796$	3.10638	+	8.72544i	0.110103	+	0.309265i
$797$			10.0163i			0.354797i	0.984139	+	0.177398i	$0.0567681\pi$
$797$			10.0163i			0.354797i	−0.984139	+	0.177398i	$0.943232\pi$
$798$	−0.803450	−	1.01322i	−0.0284418	−	0.0358676i
$799$			9.09058i			0.321602i
$800$	−19.3069	−	56.0996i	−0.682601	−	1.98342i
$801$	−0.622825	−	1.71120i	−0.0220064	−	0.0604622i
$802$	28.1825	−	23.4793i	0.995158	−	0.829082i
$803$	5.56207	+	0.980742i	0.196281	+	0.0346097i
$804$	14.9429	−	12.3603i	0.526995	−	0.435913i
$805$	1.14647	+	1.98575i	0.0404079	+	0.0699885i
$806$	24.4655	+	0.0861650i	0.861760	+	0.00303503i
$807$	3.92847	+	4.68177i	0.138289	+	0.164806i
$808$	−23.5461	−	28.6709i	−0.828348	−	1.00864i
$809$	18.8758	−	32.6938i	0.663638	−	1.14945i	−0.316015	−	0.948754i	$-0.602345\pi$
$809$	18.8758	−	32.6938i	0.663638	−	1.14945i	0.979653	−	0.200700i	$-0.0643216\pi$
$810$	−4.81012	−	2.79976i	−0.169011	−	0.0983735i
$811$	−13.3406	−	4.85559i	−0.468453	−	0.170503i	0.0969984	−	0.995285i	$-0.469076\pi$
$811$	−13.3406	−	4.85559i	−0.468453	−	0.170503i	−0.565451	+	0.824782i	$0.691298\pi$
$812$	2.84853	+	2.42460i	0.0999638	+	0.0850866i
$813$	−3.74612	+	0.660543i	−0.131382	+	0.0231663i
$814$	−0.119502	+	0.141403i	−0.00418855	+	0.00495616i
$815$	20.3910	−	24.3011i	0.714267	−	0.851230i
$816$	5.34169	+	9.56063i	0.186997	+	0.334689i
$817$	8.89587	−	44.1785i	0.311227	−	1.54561i
$818$	7.92915	+	13.8461i	0.277236	+	0.484117i
$819$	0.464734	+	0.389958i	0.0162391	+	0.0136262i
$820$	−44.2117	−	8.11721i	−1.54394	−	0.283465i
$821$	4.21822	+	23.9227i	0.147217	+	0.834909i	0.965560	+	0.260179i	$0.0837817\pi$
$821$	4.21822	+	23.9227i	0.147217	+	0.834909i	−0.818343	+	0.574730i	$0.805107\pi$
$822$	6.84985	+	19.0281i	0.238916	+	0.663680i
$823$	8.50271	−	23.3610i	0.296386	−	0.814313i	−0.698711	−	0.715404i	$-0.746243\pi$
$823$	8.50271	−	23.3610i	0.296386	−	0.814313i	0.995097	−	0.0989088i	$-0.0315352\pi$
$824$	15.0612	−	8.48468i	0.524681	−	0.295578i
$825$	7.86523	+	4.54099i	0.273832	+	0.158097i
$826$	−1.05258	−	0.387310i	−0.0366238	−	0.0134762i
$827$	−19.8813	+	16.6824i	−0.691341	+	0.580104i	−0.919296	−	0.393568i	$-0.871241\pi$
$827$	−19.8813	+	16.6824i	−0.691341	+	0.580104i	0.227954	+	0.973672i	$0.426796\pi$
$828$	−4.83019	+	2.74353i	−0.167861	+	0.0953442i
$829$	−18.9765	+	10.9561i	−0.659081	+	0.380521i	−0.791927	−	0.610616i	$-0.790922\pi$
$829$	−18.9765	+	10.9561i	−0.659081	+	0.380521i	0.132846	+	0.991137i	$0.457589\pi$
$830$	−15.0303	−	87.0324i	−0.521710	−	3.02094i
$831$	−2.99260	+	16.9719i	−0.103812	+	0.588748i
$832$	−22.8647	+	3.53526i	−0.792691	+	0.122563i
$833$	17.8964	−	6.51376i	0.620074	−	0.225688i
$834$	−3.58982	+	19.9478i	−0.124305	+	0.690737i
$835$	−37.0339			−1.28161
$836$	−5.93158	+	4.66962i	−0.205148	+	0.161502i
$837$	5.98185			0.206763
$838$	−3.83019	+	21.2835i	−0.132312	+	0.735226i
$839$	−25.2502	+	9.19034i	−0.871735	+	0.317286i	−0.738870	−	0.673848i	$-0.764640\pi$
$839$	−25.2502	+	9.19034i	−0.871735	+	0.317286i	−0.132866	+	0.991134i	$0.542418\pi$
$840$	0.381151	+	2.30368i	0.0131509	+	0.0794846i
$841$	−8.76882	+	49.7305i	−0.302373	+	1.71484i
$842$	9.50422	+	55.0338i	0.327537	+	1.89659i
$843$	15.9588	−	9.21381i	0.549650	−	0.317340i
$844$	1.87035	+	3.29289i	0.0643801	+	0.113346i
$845$	13.9765	−	11.7277i	0.480807	−	0.403445i
$846$	−4.40668	−	1.62150i	−0.151505	−	0.0557483i
$847$	−1.86211	−	1.07509i	−0.0639829	−	0.0369405i
$848$	32.6146	+	19.4477i	1.11999	+	0.667837i
$849$	0.110886	−	0.304656i	0.00380558	−	0.0104557i
$850$	13.7548	+	38.2091i	0.471785	+	1.31056i
$851$	−0.0729138	−	0.413515i	−0.00249945	−	0.0141751i
$852$	4.19462	−	22.8466i	0.143705	−	0.782713i
$853$	−1.64649	−	1.38157i	−0.0563748	−	0.0473041i	0.614165	−	0.789178i	$-0.289493\pi$
$853$	−1.64649	−	1.38157i	−0.0563748	−	0.0473041i	−0.670540	+	0.741874i	$0.733937\pi$
$854$	1.24380	+	2.17195i	0.0425619	+	0.0743227i
$855$	15.0591	−	8.21560i	0.515009	−	0.280968i
$856$	−0.0583998	+	5.52712i	−0.00199606	+	0.188913i
$857$	−33.5911	+	40.0323i	−1.14745	+	1.36748i	−0.228291	+	0.973593i	$0.573314\pi$
$857$	−33.5911	+	40.0323i	−1.14745	+	1.36748i	−0.919160	+	0.393885i	$0.871131\pi$
$858$	2.28609	−	2.70505i	0.0780458	−	0.0923489i
$859$	20.1780	−	3.55792i	0.688463	−	0.121395i	0.181537	−	0.983384i	$-0.441893\pi$
$859$	20.1780	−	3.55792i	0.688463	−	0.121395i	0.506926	+	0.861989i	$0.330782\pi$
$860$	−52.7448	+	61.9671i	−1.79858	+	2.11306i
$861$	1.12574	+	0.409737i	0.0383652	+	0.0139638i
$862$	−10.5680	−	6.15119i	−0.359949	−	0.209510i
$863$	0.450739	−	0.780702i	0.0153433	−	0.0265754i	−0.858252	−	0.513229i	$-0.828449\pi$
$863$	0.450739	−	0.780702i	0.0153433	−	0.0265754i	0.873595	+	0.486653i	$0.161783\pi$
$864$	−5.58735	+	0.884055i	−0.190085	+	0.0300761i
$865$	37.1746	+	44.3030i	1.26398	+	1.50635i
$866$	−10.3408	−	0.0364194i	−0.351396	−	0.00123758i
$867$	4.75189	+	8.23052i	0.161383	+	0.279523i
$868$	−1.59958	−	1.93381i	−0.0542933	−	0.0656377i
$869$	14.6068	+	2.57557i	0.495501	+	0.0873701i
$870$	−38.1261	+	31.7634i	−1.29260	+	1.07688i
$871$	−9.59090	−	26.3508i	−0.324975	−	0.892862i
$872$	15.2509	+	13.0741i	0.516462	+	0.442745i
$873$			9.95828i			0.337037i
$874$	0.474098	−	17.1150i	0.0160366	−	0.578923i
$875$			4.53059i			0.153162i
$876$	−12.2889	+	4.37502i	−0.415203	+	0.147818i
$877$	−8.87885	−	24.3944i	−0.299817	−	0.823742i	−0.994530	−	0.104454i	$-0.966691\pi$
$877$	−8.87885	−	24.3944i	−0.299817	−	0.823742i	0.694712	−	0.719288i	$-0.255532\pi$
$878$	13.5361	+	16.2476i	0.456823	+	0.548330i
$879$	−28.0189	−	4.94048i	−0.945053	−	0.166638i
$880$	13.4565	−	2.17775i	0.453618	−	0.0734120i
$881$	−10.6496	−	18.4456i	−0.358793	−	0.621448i	0.628966	−	0.777432i	$-0.283478\pi$
$881$	−10.6496	−	18.4456i	−0.358793	−	0.621448i	−0.987759	+	0.155985i	$0.950145\pi$
$882$	−0.0346457	+	9.83720i	−0.00116658	+	0.331236i
$883$	−30.6480	−	36.5249i	−1.03139	−	1.22916i	−0.972985	−	0.230867i	$-0.925844\pi$
$883$	−30.6480	−	36.5249i	−1.03139	−	1.22916i	−0.0584021	−	0.998293i	$-0.518601\pi$
$884$	15.6148	−	2.64004i	0.525182	−	0.0887942i
$885$	7.43934	−	12.8853i	0.250071	−	0.433135i
$886$	12.7218	−	21.8567i	0.427398	−	0.734290i
$887$	2.16889	+	0.789412i	0.0728242	+	0.0265059i	0.378175	−	0.925734i	$-0.376552\pi$
$887$	2.16889	+	0.789412i	0.0728242	+	0.0265059i	−0.305351	+	0.952240i	$0.598774\pi$
$888$	0.0786961	−	0.420291i	0.00264087	−	0.0141041i
$889$	−3.76735	+	0.664285i	−0.126353	+	0.0222794i
$890$	−7.74092	−	6.54200i	−0.259476	−	0.219288i
$891$	0.556617	−	0.663350i	0.0186474	−	0.0222231i
$892$	−7.92021	+	13.4977i	−0.265188	+	0.451938i
$893$	11.3083	−	9.03216i	0.378417	−	0.302250i
$894$	11.7026	−	6.70166i	0.391393	−	0.224137i
$895$	−24.5208	−	20.5754i	−0.819639	−	0.687759i
$896$	1.77988	+	1.56987i	0.0594618	+	0.0524457i
$897$	1.39485	+	7.91059i	0.0465727	+	0.264127i
$898$	−23.7581	+	8.55261i	−0.792819	+	0.285404i
$899$	18.2417	−	50.1186i	0.608394	−	1.67155i
$900$	−20.9754	−	0.147749i	−0.699181	−	0.00492495i
$901$	−22.5093	−	12.9958i	−0.749894	−	0.432952i
$902$	2.41515	−	6.56355i	0.0804156	−	0.218542i
$903$	1.66136	−	1.39405i	0.0552867	−	0.0463910i
$904$	15.1014	−	25.5296i	0.502264	−	0.849101i
$905$	14.4547	−	8.34544i	0.480491	−	0.277412i
$906$	−19.2885	+	3.33109i	−0.640818	+	0.110668i
$907$	−2.26633	+	12.8530i	−0.0752523	+	0.426777i	0.923785	+	0.382911i	$0.125079\pi$
$907$	−2.26633	+	12.8530i	−0.0752523	+	0.426777i	−0.999037	+	0.0438658i	$0.986033\pi$
$908$	−51.0124	−	18.9750i	−1.69291	−	0.629707i
$909$	−12.3259	+	4.48627i	−0.408825	+	0.148800i
$910$	3.32309	+	0.598025i	0.110159	+	0.0198243i
$911$	40.1054			1.32875			0.664376	−	0.747398i	$-0.268697\pi$
$911$	40.1054			1.32875			0.664376	+	0.747398i	$0.268697\pi$
$912$	6.58565	−	16.1440i	0.218073	−	0.534582i
$913$	13.7417			0.454783
$914$	46.9753	+	8.45370i	1.55380	+	0.279624i
$915$	−31.2006	+	11.3561i	−1.03146	+	0.375421i
$916$	14.7355	+	5.48114i	0.486875	+	0.181102i
$917$	0.441022	−	2.50116i	0.0145638	−	0.0825956i
$918$	3.81552	−	0.658933i	0.125931	−	0.0217480i
$919$	38.9363	−	22.4799i	1.28439	−	0.741544i	0.306743	−	0.951792i	$-0.400761\pi$
$919$	38.9363	−	22.4799i	1.28439	−	0.741544i	0.977648	+	0.210249i	$0.0674274\pi$
$920$	−15.7404	+	26.6099i	−0.518946	+	0.877302i
$921$	−5.87463	+	4.92940i	−0.193576	+	0.162429i
$922$	6.40561	−	17.4083i	0.210958	−	0.573311i
$923$	−29.0889	−	16.7945i	−0.957474	−	0.552798i
$924$	−0.363290	−	0.00255897i	−0.0119514	−	8.41840e-5i
$925$	0.542290	−	1.48993i	0.0178304	−	0.0489886i
$926$	−44.0694	+	15.8644i	−1.44821	+	0.521337i
$927$	−1.06130	−	6.01891i	−0.0348575	−	0.197687i
$928$	−9.63163	+	49.5092i	−0.316174	+	1.62522i
$929$	−28.4647	−	23.8847i	−0.933896	−	0.783632i	0.0426166	−	0.999092i	$-0.486431\pi$
$929$	−28.4647	−	23.8847i	−0.933896	−	0.783632i	−0.976513	+	0.215460i	$0.930875\pi$
$930$	28.8907	−	16.5447i	0.947364	−	0.542521i
$931$	−25.8842	−	15.7905i	−0.848321	−	0.517511i
$932$	−1.89396	+	3.22771i	−0.0620387	+	0.105727i
$933$	−17.5361	+	20.8988i	−0.574108	+	0.684195i
$934$	−20.0959	−	16.9834i	−0.657558	−	0.555715i
$935$	−9.18879	+	1.62023i	−0.300506	+	0.0529873i
$936$	−1.50547	+	8.04022i	−0.0492077	+	0.262803i
$937$	−10.4385	−	3.79929i	−0.341010	−	0.124117i	0.165838	−	0.986153i	$-0.446967\pi$
$937$	−10.4385	−	3.79929i	−0.341010	−	0.124117i	−0.506848	+	0.862036i	$0.669189\pi$
$938$	−1.44701	+	2.48603i	−0.0472464	+	0.0811717i
$939$	14.4835	−	25.0862i	0.472652	−	0.818657i
$940$	−25.7678	+	4.35665i	−0.840454	+	0.142098i
$941$	11.3300	+	13.5026i	0.369348	+	0.440172i	0.918422	−	0.395602i	$-0.129464\pi$
$941$	11.3300	+	13.5026i	0.369348	+	0.440172i	−0.549074	+	0.835774i	$0.685020\pi$
$942$	0.0184915	−	5.25042i	0.000602485	−	0.171068i
$943$	7.93104	+	13.7370i	0.258270	+	0.447337i
$944$	−2.41596	−	14.9284i	−0.0786327	−	0.485878i
$945$	0.813006	+	0.143355i	0.0264471	+	0.00466334i
$946$	−8.10414	−	9.72751i	−0.263488	−	0.316269i
$947$	−7.23906	−	19.8892i	−0.235238	−	0.646311i	−0.999998	−	0.00199576i	$-0.999365\pi$
$947$	−7.23906	−	19.8892i	−0.235238	−	0.646311i	0.764760	−	0.644315i	$-0.222857\pi$
$948$	−32.2724	+	11.4894i	−1.04816	+	0.373158i
$949$			18.8626i			0.612306i
$950$	33.8641	−	55.0739i	1.09870	−	1.78683i
$951$		−	9.43088i		−	0.305817i
$952$	−1.23331	−	1.05728i	−0.0399719	−	0.0342665i
$953$	20.9991	+	57.6945i	0.680227	+	1.86891i	0.439194	+	0.898392i	$0.355264\pi$
$953$	20.9991	+	57.6945i	0.680227	+	1.86891i	0.241033	+	0.970517i	$0.422514\pi$
$954$	10.3147	−	8.59338i	0.333952	−	0.278221i
$955$	50.1601	+	8.84458i	1.62314	+	0.286204i
$956$	−5.44393	−	6.58142i	−0.176069	−	0.212858i
$957$	−3.86043	−	6.68647i	−0.124790	−	0.216143i
$958$	21.8150	+	0.0768302i	0.704810	+	0.00248227i
$959$	−1.92820	−	2.29794i	−0.0622649	−	0.0742044i
$960$	−24.5402	+	19.7233i	−0.792032	+	0.636566i
$961$	−2.39129	+	4.14183i	−0.0771384	+	0.133608i
$962$	−0.534383	−	0.311041i	−0.0172292	−	0.0100284i
$963$	1.83639	+	0.668390i	0.0591767	+	0.0215386i
$964$	5.66492	−	6.65542i	0.182455	−	0.214357i
$965$	0.565277	−	0.0996736i	0.0181969	−	0.00320861i
$966$	0.531858	−	0.629329i	0.0171122	−	0.0202483i
$967$	34.6635	−	41.3104i	1.11470	−	1.32845i	0.175741	−	0.984436i	$-0.443768\pi$
$967$	34.6635	−	41.3104i	1.11470	−	1.32845i	0.938964	−	0.344017i	$-0.111788\pi$
$968$	0.306312	−	28.9902i	0.00984523	−	0.931779i
$969$	−4.35164	+	11.1127i	−0.139795	+	0.356990i
$970$	27.5427	+	48.0958i	0.884343	+	1.54426i
$971$	−24.1138	−	20.2338i	−0.773847	−	0.649335i	0.167844	−	0.985814i	$-0.446320\pi$
$971$	−24.1138	−	20.2338i	−0.773847	−	0.649335i	−0.941691	+	0.336479i	$0.890764\pi$
$972$	−0.361161	+	1.96712i	−0.0115842	+	0.0630954i
$973$	−0.522056	−	2.96072i	−0.0167363	−	0.0949165i
$974$	0.914095	+	2.53925i	0.0292895	+	0.0813627i
$975$	−10.3741	+	28.5025i	−0.332236	+	0.912811i
$976$	−17.2837	+	28.9855i	−0.553239	+	0.927803i
$977$	−7.25341	−	4.18776i	−0.232057	−	0.133978i	0.379464	−	0.925207i	$-0.376109\pi$
$977$	−7.25341	−	4.18776i	−0.232057	−	0.133978i	−0.611521	+	0.791228i	$0.709442\pi$
$978$	−10.6983	−	3.93659i	−0.342095	−	0.125878i
$979$	1.20797	−	1.01361i	0.0386070	−	0.0323951i
$980$	27.0405	+	47.6068i	0.863777	+	1.52074i
$981$	6.15063	−	3.55107i	0.196375	−	0.113377i
$982$	8.79663	+	50.9365i	0.280712	+	1.62545i
$983$	−3.94998	+	22.4014i	−0.125985	+	0.714495i	0.854733	+	0.519067i	$0.173721\pi$
$983$	−3.94998	+	22.4014i	−0.125985	+	0.714495i	−0.980718	+	0.195428i	$0.937391\pi$
$984$	2.63671	+	15.9364i	0.0840554	+	0.508033i
$985$	−42.0096	+	15.2902i	−1.33854	+	0.487187i
$986$	6.11462	−	33.9775i	0.194729	−	1.08207i
$987$	0.696492			0.0221696
$988$	−18.7985	−	16.8011i	−0.598061	−	0.534513i
$989$	28.7155			0.913101
$990$	0.853606	−	4.74330i	0.0271294	−	0.150752i
$991$	47.7300	−	17.3723i	1.51619	−	0.551849i	0.555998	−	0.831184i	$-0.312336\pi$
$991$	47.7300	−	17.3723i	1.51619	−	0.551849i	0.960194	+	0.279335i	$0.0901139\pi$
$992$	12.1316	−	31.5890i	0.385177	−	1.00295i
$993$	3.78827	−	21.4844i	0.120217	−	0.681786i
$994$	0.586350	+	3.39523i	0.0185979	+	0.107690i
$995$	15.7833	−	9.11250i	0.500365	−	0.288886i
$996$	−27.5971	+	15.6750i	−0.874446	+	0.496683i
$997$	40.2848	−	33.8029i	1.27583	−	1.07055i	0.282027	−	0.959407i	$-0.408993\pi$
$997$	40.2848	−	33.8029i	1.27583	−	1.07055i	0.993804	−	0.111143i	$-0.0354512\pi$
$998$	−11.4123	−	4.19931i	−0.361250	−	0.132927i
$999$	−0.130924	−	0.0755889i	−0.00414225	−	0.00239153i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	228.2.w.b.79.10	yes	60
3.2	odd	2		684.2.cf.b.307.1		60
4.3	odd	2		228.2.w.a.79.5	✓	60
12.11	even	2		684.2.cf.c.307.6		60
19.13	odd	18		228.2.w.a.127.5	yes	60
57.32	even	18		684.2.cf.c.127.6		60
76.51	even	18	inner	228.2.w.b.127.10	yes	60
228.203	odd	18		684.2.cf.b.127.1		60

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
228.2.w.a.79.5	✓	60	4.3	odd	2
228.2.w.a.127.5	yes	60	19.13	odd	18
228.2.w.b.79.10	yes	60	1.1	even	1	trivial
228.2.w.b.127.10	yes	60	76.51	even	18	inner
684.2.cf.b.127.1		60	228.203	odd	18
684.2.cf.b.307.1		60	3.2	odd	2
684.2.cf.c.127.6		60	57.32	even	18
684.2.cf.c.307.6		60	12.11	even	2

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 228 = 2^{2} \cdot 3 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	228.w (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(1.39185 + 0.250479i) q^{2} +(-0.939693 + 0.342020i) q^{3} +(1.87452 + 0.697261i) q^{4} +(0.683388 - 3.87569i) q^{5} +(-1.39358 + 0.240669i) q^{6} +(0.181667 - 0.104885i) q^{7} +(2.43441 + 1.44001i) q^{8} +(0.766044 - 0.642788i) q^{9} +(1.92196 - 5.22322i) q^{10} +(0.749928 + 0.432971i) q^{11} +(-1.99995 - 0.0140874i) q^{12} +(-0.989139 + 2.71764i) q^{13} +(0.279125 - 0.100482i) q^{14} +(0.683388 + 3.87569i) q^{15} +(3.02765 + 2.61406i) q^{16} +(-2.09737 - 1.75990i) q^{17} +(1.22723 - 0.702789i) q^{18} +(-0.105352 + 4.35763i) q^{19} +(3.98339 - 6.78856i) q^{20} +(-0.134838 + 0.160694i) q^{21} +(0.935341 + 0.790474i) q^{22} +(-2.73529 + 0.482305i) q^{23} +(-2.78011 - 0.520553i) q^{24} +(-9.85547 - 3.58710i) q^{25} +(-2.05745 + 3.53480i) q^{26} +(-0.500000 + 0.866025i) q^{27} +(0.413671 - 0.0699406i) q^{28} +(5.73119 + 6.83016i) q^{29} +(-0.0196014 + 5.56557i) q^{30} +(-2.99093 - 5.18044i) q^{31} +(3.55929 + 4.39676i) q^{32} +(-0.852786 - 0.150369i) q^{33} +(-2.47841 - 2.97487i) q^{34} +(-0.282354 - 0.775761i) q^{35} +(1.88416 - 0.670785i) q^{36} +0.151178i q^{37} +(-1.23813 + 6.03879i) q^{38} -2.89205i q^{39} +(7.24470 - 8.45093i) q^{40} +(-1.95326 - 5.36654i) q^{41} +(-0.227925 + 0.189888i) q^{42} +(-10.1816 - 1.79529i) q^{43} +(1.10386 + 1.33451i) q^{44} +(-1.96774 - 3.40822i) q^{45} +(-3.92793 - 0.0138338i) q^{46} +(-2.13422 - 2.54346i) q^{47} +(-3.73913 - 1.42089i) q^{48} +(-3.47800 + 6.02407i) q^{49} +(-12.8189 - 7.46131i) q^{50} +(2.57280 + 0.936424i) q^{51} +(-3.74906 + 4.40458i) q^{52} +(9.34894 - 1.64847i) q^{53} +(-0.912849 + 1.08014i) q^{54} +(2.19055 - 2.61060i) q^{55} +(0.593288 + 0.00626872i) q^{56} +(-1.39140 - 4.13086i) q^{57} +(6.26617 + 10.9421i) q^{58} +(-2.89615 - 2.43016i) q^{59} +(-1.42134 + 7.74156i) q^{60} +(1.46504 + 8.30867i) q^{61} +(-2.86535 - 7.95958i) q^{62} +(0.0717458 - 0.197120i) q^{63} +(3.85272 + 7.01118i) q^{64} +(9.85675 + 5.69080i) q^{65} +(-1.14929 - 0.422897i) q^{66} +(-7.42773 + 6.23260i) q^{67} +(-2.70445 - 4.76139i) q^{68} +(2.40537 - 1.38874i) q^{69} +(-0.198684 - 1.15047i) q^{70} +(-2.01679 + 11.4378i) q^{71} +(2.79049 - 0.461694i) q^{72} +(6.12889 - 2.23073i) q^{73} +(-0.0378669 + 0.210418i) q^{74} +10.4880 q^{75} +(-3.23589 + 8.09500i) q^{76} +0.181649 q^{77} +(0.724398 - 4.02531i) q^{78} +(16.0953 - 5.85822i) q^{79} +(12.2003 - 9.94782i) q^{80} +(0.173648 - 0.984808i) q^{81} +(-1.37445 - 7.95870i) q^{82} +(13.7430 - 7.93452i) q^{83} +(-0.364802 + 0.207206i) q^{84} +(-8.25415 + 6.92605i) q^{85} +(-13.7216 - 5.04907i) q^{86} +(-7.72161 - 4.45807i) q^{87} +(1.20215 + 2.13394i) q^{88} +(0.622825 - 1.71120i) q^{89} +(-1.88512 - 5.23663i) q^{90} +(0.105347 + 0.597451i) q^{91} +(-5.46365 - 1.00312i) q^{92} +(4.58237 + 3.84506i) q^{93} +(-2.33344 - 4.07470i) q^{94} +(16.8168 + 3.38626i) q^{95} +(-4.84842 - 2.91425i) q^{96} +(-6.40106 + 7.62849i) q^{97} +(-6.34977 + 7.51347i) q^{98} +(0.852786 - 0.150369i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 60 q + 3 q^{2} - 3 q^{4} + 3 q^{6} - 3 q^{8} - 6 q^{10} - 6 q^{13} - 9 q^{14} + 21 q^{16} + 18 q^{19} + 30 q^{20} - 6 q^{21} - 12 q^{22} - 18 q^{24} - 30 q^{27} - 18 q^{28} - 12 q^{31} + 33 q^{32} - 15 q^{34}+ \cdots - 105 q^{98}+O(q^{100}) \) 60 * q + 3 * q^2 - 3 * q^4 + 3 * q^6 - 3 * q^8 - 6 * q^10 - 6 * q^13 - 9 * q^14 + 21 * q^16 + 18 * q^19 + 30 * q^20 - 6 * q^21 - 12 * q^22 - 18 * q^24 - 30 * q^27 - 18 * q^28 - 12 * q^31 + 33 * q^32 - 15 * q^34 - 3 * q^36 - 84 * q^38 - 87 * q^40 - 12 * q^41 + 9 * q^42 - 18 * q^43 - 51 * q^44 - 21 * q^46 + 18 * q^48 + 30 * q^49 - 27 * q^50 - 3 * q^52 + 12 * q^53 + 3 * q^54 + 42 * q^56 - 36 * q^58 + 15 * q^60 + 105 * q^62 - 12 * q^63 + 21 * q^64 - 36 * q^65 + 24 * q^66 + 42 * q^67 - 15 * q^68 - 72 * q^69 - 96 * q^70 + 24 * q^71 + 18 * q^72 + 18 * q^73 + 69 * q^74 + 60 * q^75 + 54 * q^76 - 72 * q^77 + 57 * q^78 + 12 * q^79 - 12 * q^80 + 75 * q^82 + 39 * q^84 - 60 * q^85 + 21 * q^86 + 36 * q^88 - 12 * q^89 + 15 * q^90 - 84 * q^91 + 99 * q^92 - 12 * q^93 - 24 * q^95 + 12 * q^97 - 105 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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