LMFDB - Embedded newform 296.2.bj.a.131.18

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [296,2,Mod(19,296)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(296, base_ring=CyclotomicField(36)) chi = DirichletCharacter(H, H._module([18, 18, 35])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("296.19"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 296 = 2^{3} \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	296.bj (of order $36$, degree $12$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$2.36357189983$
Analytic rank:	$0$
Dimension:	$432$
Relative dimension:	$36$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			131.18
Character	$\chi$	$=$	296.131
Dual form			296.2.bj.a.235.18

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.125883 - 1.40860i) q^{2} +(-1.48892 - 0.262536i) q^{3} +(-1.96831 + 0.354638i) q^{4} +(0.259274 + 2.96351i) q^{5} +(-0.182379 + 2.13034i) q^{6} +(1.24844 - 1.48783i) q^{7} +(0.747319 + 2.72791i) q^{8} +(-0.671128 - 0.244271i) q^{9} +(4.14176 - 0.738269i) q^{10} +(3.58518 - 2.06991i) q^{11} +(3.02375 - 0.0112745i) q^{12} +(4.22294 + 1.96919i) q^{13} +(-2.25292 - 1.57126i) q^{14} +(0.391992 - 4.48049i) q^{15} +(3.74846 - 1.39607i) q^{16} +(1.53551 - 0.716018i) q^{17} +(-0.259596 + 0.976101i) q^{18} +(2.19354 + 3.13270i) q^{19} +(-1.56130 - 5.74115i) q^{20} +(-2.24944 + 1.88750i) q^{21} +(-3.36698 - 4.78952i) q^{22} +(-2.00697 + 0.537765i) q^{23} +(-0.396521 - 4.25784i) q^{24} +(-3.79114 + 0.668481i) q^{25} +(2.24220 - 6.19631i) q^{26} +(4.86312 + 2.80772i) q^{27} +(-1.92967 + 3.37126i) q^{28} +(-1.49263 - 0.399950i) q^{29} +(-6.36057 + 0.0118581i) q^{30} +(4.43761 - 4.43761i) q^{31} +(-2.43838 - 5.10434i) q^{32} +(-5.88147 + 2.14068i) q^{33} +(-1.20188 - 2.07278i) q^{34} +(4.73290 + 3.31401i) q^{35} +(1.40761 + 0.242792i) q^{36} +(-4.77750 + 3.76503i) q^{37} +(4.13659 - 3.48417i) q^{38} +(-5.77062 - 4.04063i) q^{39} +(-7.89045 + 2.92197i) q^{40} +(3.01245 + 8.27663i) q^{41} +(2.94190 + 2.93095i) q^{42} +(4.45935 - 4.45935i) q^{43} +(-6.32267 + 5.34565i) q^{44} +(0.549893 - 2.05223i) q^{45} +(1.01014 + 2.75932i) q^{46} +(-2.17440 - 1.25539i) q^{47} +(-5.94767 + 1.09453i) q^{48} +(0.560492 + 3.17871i) q^{49} +(1.41886 + 5.25605i) q^{50} +(-2.47422 + 0.662966i) q^{51} +(-9.01038 - 2.37835i) q^{52} +(2.02660 + 2.41521i) q^{53} +(3.34277 - 7.20364i) q^{54} +(7.06374 + 10.0881i) q^{55} +(4.99167 + 2.29375i) q^{56} +(-2.44355 - 5.24021i) q^{57} +(-0.375472 + 2.15287i) q^{58} +(-1.01201 + 11.5673i) q^{59} +(0.817391 + 8.95800i) q^{60} +(3.11166 - 6.67298i) q^{61} +(-6.80944 - 5.69220i) q^{62} +(-1.20130 + 0.693570i) q^{63} +(-6.88303 + 4.07725i) q^{64} +(-4.74081 + 13.0253i) q^{65} +(3.75574 + 8.01516i) q^{66} +(1.50993 - 1.79946i) q^{67} +(-2.76842 + 1.95389i) q^{68} +(3.12939 - 0.273786i) q^{69} +(4.07233 - 7.08394i) q^{70} +(1.75625 + 0.309674i) q^{71} +(0.164802 - 2.01333i) q^{72} -10.5497i q^{73} +(5.90483 + 6.25563i) q^{74} +5.82020 q^{75} +(-5.42853 - 5.38820i) q^{76} +(1.39621 - 7.91831i) q^{77} +(-4.96521 + 8.63714i) q^{78} +(-0.937417 - 10.7147i) q^{79} +(5.10916 + 10.7467i) q^{80} +(-4.86233 - 4.07998i) q^{81} +(11.2792 - 5.28522i) q^{82} +(-13.4233 - 4.88567i) q^{83} +(3.75820 - 4.51291i) q^{84} +(2.52004 + 4.36484i) q^{85} +(-6.84280 - 5.72009i) q^{86} +(2.11741 + 0.987363i) q^{87} +(8.32580 + 8.23319i) q^{88} +(8.33531 + 0.729245i) q^{89} +(-2.95999 - 0.516239i) q^{90} +(8.20191 - 3.82461i) q^{91} +(3.75961 - 1.77023i) q^{92} +(-7.77228 + 5.44221i) q^{93} +(-1.49462 + 3.22089i) q^{94} +(-8.71507 + 7.31281i) q^{95} +(2.29046 + 8.24011i) q^{96} +(-3.66639 - 13.6832i) q^{97} +(4.40697 - 1.18966i) q^{98} +(-2.91174 + 0.513417i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 432 q - 12 q^{2} - 24 q^{3} - 18 q^{4} - 12 q^{6} - 6 q^{8} - 24 q^{9} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{14} + 18 q^{16} - 24 q^{17} - 42 q^{18} - 24 q^{19} - 12 q^{20} - 24 q^{22} - 84 q^{24}+ \cdots - 132 q^{99}+O(q^{100}) $ 432 * q - 12 * q^2 - 24 * q^3 - 18 * q^4 - 12 * q^6 - 6 * q^8 - 24 * q^9 - 6 * q^10 - 36 * q^11 - 12 * q^12 - 12 * q^14 + 18 * q^16 - 24 * q^17 - 42 * q^18 - 24 * q^19 - 12 * q^20 - 24 * q^22 - 84 * q^24 - 12 * q^25 - 6 * q^26 - 36 * q^27 - 12 * q^28 - 36 * q^30 - 42 * q^32 - 60 * q^33 - 12 * q^34 - 24 * q^35 + 60 * q^38 - 12 * q^40 - 24 * q^41 - 12 * q^42 - 6 * q^44 + 48 * q^46 - 18 * q^48 + 24 * q^49 - 42 * q^50 + 96 * q^51 - 42 * q^52 - 72 * q^54 - 12 * q^56 - 24 * q^57 + 48 * q^58 - 24 * q^59 + 144 * q^60 - 72 * q^62 + 108 * q^64 - 84 * q^65 - 168 * q^66 - 24 * q^67 - 18 * q^68 - 186 * q^70 + 234 * q^72 - 150 * q^74 - 48 * q^75 + 42 * q^76 - 222 * q^78 + 120 * q^80 - 60 * q^81 - 24 * q^82 - 24 * q^83 + 126 * q^84 - 54 * q^86 - 24 * q^89 + 72 * q^90 - 24 * q^91 + 114 * q^92 - 24 * q^94 + 72 * q^96 - 24 * q^97 - 114 * q^98 - 132 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/296\mathbb{Z}\right)^\times$.

$n$	$113$	$149$	$223$
$\chi(n)$	$e\left(\frac{25}{36}\right)$	$-1$	$-1$

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 $

$2$	−0.125883	−	1.40860i	−0.0890128	−	0.996030i
$2$	−0.125883	−	1.40860i	−0.0890128	−	0.996030i
$3$	−1.48892	−	0.262536i	−0.859627	−	0.151575i	−0.273577	−	0.961850i	$-0.588207\pi$
$3$	−1.48892	−	0.262536i	−0.859627	−	0.151575i	−0.586050	+	0.810275i	$0.699318\pi$
$4$	−1.96831	+	0.354638i	−0.984153	+	0.177319i
$5$	0.259274	+	2.96351i	0.115951	+	1.32532i	0.801806	+	0.597585i	$0.203873\pi$
$5$	0.259274	+	2.96351i	0.115951	+	1.32532i	−0.685855	+	0.727738i	$0.740572\pi$
$6$	−0.182379	+	2.13034i	−0.0744559	+	0.869707i
$7$	1.24844	−	1.48783i	0.471866	−	0.562348i	−0.476643	−	0.879097i	$-0.658147\pi$
$7$	1.24844	−	1.48783i	0.471866	−	0.562348i	0.948510	+	0.316749i	$0.102591\pi$
$8$	0.747319	+	2.72791i	0.264217	+	0.964463i
$9$	−0.671128	−	0.244271i	−0.223709	−	0.0814236i
$10$	4.14176	−	0.738269i	1.30974	−	0.233461i
$11$	3.58518	−	2.06991i	1.08097	−	0.624100i	0.149814	−	0.988714i	$-0.452132\pi$
$11$	3.58518	−	2.06991i	1.08097	−	0.624100i	0.931159	+	0.364614i	$0.118799\pi$
$12$	3.02375	−	0.0112745i	0.872882	−	0.00325467i
$13$	4.22294	+	1.96919i	1.17123	+	0.546154i	0.908160	−	0.418622i	$-0.137487\pi$
$13$	4.22294	+	1.96919i	1.17123	+	0.546154i	0.263071	+	0.964776i	$0.415265\pi$
$14$	−2.25292	−	1.57126i	−0.602118	−	0.419937i
$15$	0.391992	−	4.48049i	0.101212	−	1.15686i
$16$	3.74846	−	1.39607i	0.937116	−	0.349018i
$17$	1.53551	−	0.716018i	0.372415	−	0.173660i	−0.227395	−	0.973803i	$-0.573021\pi$
$17$	1.53551	−	0.716018i	0.372415	−	0.173660i	0.599810	+	0.800143i	$0.295243\pi$
$18$	−0.259596	+	0.976101i	−0.0611874	+	0.230069i
$19$	2.19354	+	3.13270i	0.503232	+	0.718690i	0.987742	−	0.156096i	$-0.0498908\pi$
$19$	2.19354	+	3.13270i	0.503232	+	0.718690i	−0.484509	+	0.874786i	$0.661002\pi$
$20$	−1.56130	−	5.74115i	−0.349118	−	1.28376i
$21$	−2.24944	+	1.88750i	−0.490867	+	0.411886i
$22$	−3.36698	−	4.78952i	−0.717843	−	1.02113i
$23$	−2.00697	+	0.537765i	−0.418482	+	0.112132i	−0.461914	−	0.886925i	$-0.652837\pi$
$23$	−2.00697	+	0.537765i	−0.418482	+	0.112132i	0.0434328	+	0.999056i	$0.486171\pi$
$24$	−0.396521	−	4.25784i	−0.0809394	−	0.869127i
$25$	−3.79114	+	0.668481i	−0.758229	+	0.133696i
$26$	2.24220	−	6.19631i	0.439732	−	1.21520i
$27$	4.86312	+	2.80772i	0.935908	+	0.540347i
$28$	−1.92967	+	3.37126i	−0.364674	+	0.637108i
$29$	−1.49263	−	0.399950i	−0.277175	−	0.0742689i	0.117554	−	0.993067i	$-0.462495\pi$
$29$	−1.49263	−	0.399950i	−0.277175	−	0.0742689i	−0.394729	+	0.918798i	$0.629161\pi$
$30$	−6.36057	+	0.0118581i	−1.16128	+	0.00216498i
$31$	4.43761	−	4.43761i	0.797019	−	0.797019i	−0.185605	−	0.982624i	$-0.559425\pi$
$31$	4.43761	−	4.43761i	0.797019	−	0.797019i	0.982624	+	0.185605i	$0.0594246\pi$
$32$	−2.43838	−	5.10434i	−0.431048	−	0.902329i
$33$	−5.88147	+	2.14068i	−1.02383	+	0.372644i
$34$	−1.20188	−	2.07278i	−0.206120	−	0.355478i
$35$	4.73290	+	3.31401i	0.800006	+	0.560170i
$36$	1.40761	+	0.242792i	0.234602	+	0.0404654i
$37$	−4.77750	+	3.76503i	−0.785416	+	0.618968i
$37$	−4.77750	+	3.76503i	−0.785416	+	0.618968i
$38$	4.13659	−	3.48417i	0.671043	−	0.565208i
$39$	−5.77062	−	4.04063i	−0.924039	−	0.647019i
$40$	−7.89045	+	2.92197i	−1.24759	+	0.462004i
$41$	3.01245	+	8.27663i	0.470465	+	1.29259i	0.917379	+	0.398015i	$0.130301\pi$
$41$	3.01245	+	8.27663i	0.470465	+	1.29259i	−0.446914	+	0.894577i	$0.647477\pi$
$42$	2.94190	+	2.93095i	0.453945	+	0.452255i
$43$	4.45935	−	4.45935i	0.680045	−	0.680045i	−0.279965	−	0.960010i	$-0.590323\pi$
$43$	4.45935	−	4.45935i	0.680045	−	0.680045i	0.960010	+	0.279965i	$0.0903229\pi$
$44$	−6.32267	+	5.34565i	−0.953179	+	0.805887i
$45$	0.549893	−	2.05223i	0.0819733	−	0.305928i
$46$	1.01014	+	2.75932i	0.148937	+	0.406839i
$47$	−2.17440	−	1.25539i	−0.317169	−	0.183118i	0.332961	−	0.942941i	$-0.391952\pi$
$47$	−2.17440	−	1.25539i	−0.317169	−	0.183118i	−0.650130	+	0.759823i	$0.725286\pi$
$48$	−5.94767	+	1.09453i	−0.858473	+	0.157982i
$49$	0.560492	+	3.17871i	0.0800703	+	0.454101i
$50$	1.41886	+	5.25605i	0.200658	+	0.743318i
$51$	−2.47422	+	0.662966i	−0.346460	+	0.0928338i
$52$	−9.01038	−	2.37835i	−1.24952	−	0.329818i
$53$	2.02660	+	2.41521i	0.278375	+	0.331754i	0.887057	−	0.461660i	$-0.152746\pi$
$53$	2.02660	+	2.41521i	0.278375	+	0.331754i	−0.608682	+	0.793414i	$0.708301\pi$
$54$	3.34277	−	7.20364i	0.454894	−	0.980291i
$55$	7.06374	+	10.0881i	0.952474	+	1.36027i
$56$	4.99167	+	2.29375i	0.667039	+	0.306515i
$57$	−2.44355	−	5.24021i	−0.323656	−	0.694083i
$58$	−0.375472	+	2.15287i	−0.0493019	+	0.282686i
$59$	−1.01201	+	11.5673i	−0.131752	+	1.50593i	0.586385	+	0.810032i	$0.300551\pi$
$59$	−1.01201	+	11.5673i	−0.131752	+	1.50593i	−0.718137	+	0.695902i	$0.755005\pi$
$60$	0.817391	+	8.95800i	0.105525	+	1.15647i
$61$	3.11166	−	6.67298i	0.398407	−	0.854387i	−0.600108	−	0.799919i	$-0.704876\pi$
$61$	3.11166	−	6.67298i	0.398407	−	0.854387i	0.998515	−	0.0544684i	$-0.0173464\pi$
$62$	−6.80944	−	5.69220i	−0.864800	−	0.722910i
$63$	−1.20130	+	0.693570i	−0.151349	+	0.0873816i
$64$	−6.88303	+	4.07725i	−0.860378	+	0.509656i
$65$	−4.74081	+	13.0253i	−0.588026	+	1.61559i
$66$	3.75574	+	8.01516i	0.462299	+	0.986598i
$67$	1.50993	−	1.79946i	0.184467	−	0.219840i	−0.665884	−	0.746056i	$-0.731945\pi$
$67$	1.50993	−	1.79946i	0.184467	−	0.219840i	0.850351	+	0.526216i	$0.176390\pi$
$68$	−2.76842	+	1.95389i	−0.335720	+	0.236944i
$69$	3.12939	−	0.273786i	0.376734	−	0.0329600i
$70$	4.07233	−	7.08394i	0.486736	−	0.846693i
$71$	1.75625	+	0.309674i	0.208428	+	0.0367515i	0.276887	−	0.960902i	$-0.410697\pi$
$71$	1.75625	+	0.309674i	0.208428	+	0.0367515i	−0.0684590	+	0.997654i	$0.521808\pi$
$72$	0.164802	−	2.01333i	0.0194221	−	0.237273i
$73$		−	10.5497i		−	1.23475i	−0.786667	−	0.617377i	$-0.788195\pi$
$73$		−	10.5497i		−	1.23475i	0.786667	−	0.617377i	$-0.211805\pi$
$74$	5.90483	+	6.25563i	0.686423	+	0.727203i
$75$	5.82020			0.672059
$76$	−5.42853	−	5.38820i	−0.622695	−	0.618069i
$77$	1.39621	−	7.91831i	0.159113	−	0.902375i
$78$	−4.96521	+	8.63714i	−0.562199	+	0.977964i
$79$	−0.937417	−	10.7147i	−0.105468	−	1.20550i	−0.845889	−	0.533359i	$-0.820930\pi$
$79$	−0.937417	−	10.7147i	−0.105468	−	1.20550i	0.740422	−	0.672143i	$-0.234626\pi$
$80$	5.10916	+	10.7467i	0.571221	+	1.20151i
$81$	−4.86233	−	4.07998i	−0.540259	−	0.453331i
$82$	11.2792	−	5.28522i	1.24558	−	0.583655i
$83$	−13.4233	−	4.88567i	−1.47340	−	0.536272i	−0.524376	−	0.851487i	$-0.675701\pi$
$83$	−13.4233	−	4.88567i	−1.47340	−	0.536272i	−0.949020	+	0.315215i	$0.897923\pi$
$84$	3.75820	−	4.51291i	0.410053	−	0.492399i
$85$	2.52004	+	4.36484i	0.273337	+	0.473434i
$86$	−6.84280	−	5.72009i	−0.737878	−	0.616813i
$87$	2.11741	+	0.987363i	0.227010	+	0.105856i
$88$	8.32580	+	8.23319i	0.887534	+	0.877661i
$89$	8.33531	+	0.729245i	0.883541	+	0.0772998i	0.519888	−	0.854235i	$-0.325974\pi$
$89$	8.33531	+	0.729245i	0.883541	+	0.0772998i	0.363653	+	0.931534i	$0.381529\pi$
$90$	−2.95999	−	0.516239i	−0.312011	−	0.0544163i
$91$	8.20191	−	3.82461i	0.859794	−	0.400928i
$92$	3.75961	−	1.77023i	0.391967	−	0.184560i
$93$	−7.77228	+	5.44221i	−0.805948	+	0.564331i
$94$	−1.49462	+	3.22089i	−0.154159	+	0.332210i
$95$	−8.71507	+	7.31281i	−0.894147	+	0.750278i
$96$	2.29046	+	8.24011i	0.233770	+	0.841002i
$97$	−3.66639	−	13.6832i	−0.372266	−	1.38932i	−0.857299	−	0.514819i	$-0.827859\pi$
$97$	−3.66639	−	13.6832i	−0.372266	−	1.38932i	0.485033	−	0.874496i	$-0.338808\pi$
$98$	4.40697	−	1.18966i	0.445172	−	0.120173i
$99$	−2.91174	+	0.513417i	−0.292640	+	0.0516004i
$100$	7.22507	−	2.66026i	0.722507	−	0.266026i
$101$	−8.36409	+	14.4870i	−0.832258	+	1.44151i	0.0639847	+	0.997951i	$0.479619\pi$
$101$	−8.36409	+	14.4870i	−0.832258	+	1.44151i	−0.896243	+	0.443563i	$0.853714\pi$
$102$	1.24532	+	3.40173i	0.123305	+	0.336822i
$103$	−9.32602	−	2.49890i	−0.918920	−	0.246224i	−0.231796	−	0.972764i	$-0.574460\pi$
$103$	−9.32602	−	2.49890i	−0.918920	−	0.246224i	−0.687124	+	0.726540i	$0.741127\pi$
$104$	−2.21589	+	12.9914i	−0.217286	+	1.27391i
$105$	−6.17685	−	6.17685i	−0.602799	−	0.602799i
$106$	3.14695	−	3.15870i	0.305659	−	0.306800i
$107$	−16.5414	+	6.02059i	−1.59912	+	0.582032i	−0.979247	−	0.202670i	$-0.935038\pi$
$107$	−16.5414	+	6.02059i	−1.59912	+	0.582032i	−0.619873	+	0.784702i	$0.712816\pi$
$108$	−10.5678	−	3.80182i	−1.01689	−	0.365830i
$109$	−4.57263	+	6.53039i	−0.437978	+	0.625498i	−0.976088	−	0.217377i	$-0.930250\pi$
$109$	−4.57263	+	6.53039i	−0.437978	+	0.625498i	0.538110	+	0.842875i	$0.319139\pi$
$110$	13.3208	−	11.2199i	1.27009	−	1.06977i
$111$	8.10176	−	4.35156i	0.768985	−	0.413032i
$112$	2.60261	−	7.32000i	0.245924	−	0.691675i
$113$	5.52510	−	7.89066i	0.519757	−	0.742291i	−0.470369	−	0.882470i	$-0.655879\pi$
$113$	5.52510	−	7.89066i	0.519757	−	0.742291i	0.990126	+	0.140179i	$0.0447679\pi$
$114$	−7.07376	+	4.10164i	−0.662519	+	0.384154i
$115$	−2.11403	−	5.80824i	−0.197134	−	0.541621i
$116$	3.07980	+	0.257880i	0.285952	+	0.0239436i
$117$	−2.35312	−	2.35312i	−0.217546	−	0.217546i
$118$	16.4211	−	0.0306141i	1.51168	−	0.00281825i
$119$	0.851672	−	3.17848i	0.0780726	−	0.291371i
$120$	12.5153	−	2.27904i	1.14249	−	0.208047i
$121$	3.06902	−	5.31570i	0.279002	−	0.483246i
$122$	−9.79126	−	3.54307i	−0.886459	−	0.320774i
$123$	−2.31237	−	13.1141i	−0.208499	−	1.18246i
$124$	−7.16084	+	10.3083i	−0.643063	+	0.925716i
$125$	0.885721	+	3.30555i	0.0792213	+	0.295658i
$126$	1.12819	+	1.60484i	0.100507	+	0.142970i
$127$	−1.52460	−	1.81694i	−0.135286	−	0.161228i	0.694148	−	0.719832i	$-0.255781\pi$
$127$	−1.52460	−	1.81694i	−0.135286	−	0.161228i	−0.829434	+	0.558605i	$0.811337\pi$
$128$	6.60967	+	9.18217i	0.584217	+	0.811597i
$129$	−7.81035	+	5.46887i	−0.687663	+	0.481507i
$130$	18.9442	+	5.03825i	1.66152	+	0.441884i
$131$	−7.89751	−	16.9363i	−0.690009	−	1.47973i	−0.868449	−	0.495778i	$-0.834883\pi$
$131$	−7.89751	−	16.9363i	−0.690009	−	1.47973i	0.178440	−	0.983951i	$-0.442895\pi$
$132$	10.8174	−	6.29930i	0.941531	−	0.548284i
$133$	7.39944	+	0.647367i	0.641613	+	0.0561338i
$134$	−2.72480	−	1.90036i	−0.235387	−	0.164167i
$135$	−7.05985	+	15.1399i	−0.607615	+	1.30303i
$136$	3.10075	+	3.65363i	0.265887	+	0.313296i
$137$	10.1782	+	17.6291i	0.869579	+	1.50615i	0.862428	+	0.506180i	$0.168943\pi$
$137$	10.1782	+	17.6291i	0.869579	+	1.50615i	0.00715136	+	0.999974i	$0.497724\pi$
$138$	−0.779593	−	4.37359i	−0.0663633	−	0.372305i
$139$	−0.352265	+	0.967840i	−0.0298787	+	0.0820911i	−0.953735	−	0.300648i	$-0.902797\pi$
$139$	−0.352265	+	0.967840i	−0.0298787	+	0.0820911i	0.923856	+	0.382739i	$0.125019\pi$
$140$	−10.4911	−	4.84453i	−0.886658	−	0.409437i
$141$	2.90792	+	2.44003i	0.244891	+	0.205488i
$142$	0.215125	−	2.51283i	0.0180529	−	0.210872i
$143$	19.2160	−	1.68118i	1.60693	−	0.140588i
$144$	−2.85672	+	0.0213037i	−0.238060	+	0.00177531i
$145$	0.798256	−	4.52714i	0.0662916	−	0.375958i
$146$	−14.8604	+	1.32803i	−1.22985	+	0.109909i
$147$		−	4.87999i		−	0.402494i
$148$	8.06836	−	9.10503i	0.663215	−	0.748429i
$149$		−	4.19287i		−	0.343493i	−0.985141	−	0.171747i	$-0.945059\pi$
$149$		−	4.19287i		−	0.343493i	0.985141	−	0.171747i	$-0.0549411\pi$
$150$	−0.732665	−	8.19833i	−0.0598219	−	0.669391i
$151$	1.96934	−	11.1687i	0.160262	−	0.908893i	−0.793553	−	0.608501i	$-0.791771\pi$
$151$	1.96934	−	11.1687i	0.160262	−	0.908893i	0.953816	−	0.300392i	$-0.0971177\pi$
$152$	−6.90646	+	8.32491i	−0.560188	+	0.675240i
$153$	−1.20542	+	0.105461i	−0.0974527	+	0.00852601i
$154$	−11.3295	−	0.969922i	−0.912956	−	0.0781585i
$155$	14.3015	+	12.0004i	1.14872	+	0.963893i
$156$	12.7913	+	5.90672i	1.02412	+	0.472916i
$157$	5.36245	−	14.7332i	0.427970	−	1.17584i	−0.519073	−	0.854730i	$-0.673723\pi$
$157$	5.36245	−	14.7332i	0.427970	−	1.17584i	0.947043	−	0.321108i	$-0.104055\pi$
$158$	−14.9748	+	2.66925i	−1.19133	+	0.212354i
$159$	−2.38336	−	4.12810i	−0.189013	−	0.327380i
$160$	14.4946	−	8.54958i	1.14590	−	0.675904i
$161$	−1.70547	+	3.65740i	−0.134410	+	0.288244i
$162$	−5.13497	+	7.36268i	−0.403441	+	0.578466i
$163$	−12.2383	−	1.07071i	−0.958579	−	0.0838648i	−0.402884	−	0.915251i	$-0.631992\pi$
$163$	−12.2383	−	1.07071i	−0.958579	−	0.0838648i	−0.555695	+	0.831386i	$0.687548\pi$
$164$	−8.86462	−	15.2226i	−0.692211	−	1.18869i
$165$	−7.86884	−	16.8748i	−0.612588	−	1.31370i
$166$	−5.19219	+	19.5230i	−0.402992	+	1.51528i
$167$	2.95696	−	2.07049i	0.228816	−	0.160219i	−0.453546	−	0.891233i	$-0.649841\pi$
$167$	2.95696	−	2.07049i	0.228816	−	0.160219i	0.682363	+	0.731014i	$0.260952\pi$
$168$	−6.82999	−	4.72570i	−0.526945	−	0.364596i
$169$	5.59925	+	6.67292i	0.430711	+	0.513302i
$170$	5.83109	−	4.09919i	0.447224	−	0.314394i
$171$	−0.706920	−	2.63826i	−0.0540595	−	0.201753i
$172$	−7.19592	+	10.3588i	−0.548684	+	0.789853i
$173$	−3.91008	−	22.1752i	−0.297278	−	1.68595i	−0.657798	−	0.753194i	$-0.728512\pi$
$173$	−3.91008	−	22.1752i	−0.297278	−	1.68595i	0.360520	−	0.932751i	$-0.382599\pi$
$174$	1.12425	−	3.10687i	0.0852295	−	0.235531i
$175$	−3.73843	+	6.47515i	−0.282599	+	0.489475i
$176$	10.5492	−	12.7641i	0.795175	−	0.962134i
$177$	4.54363	−	16.9571i	0.341520	−	1.27457i
$178$	−0.0220603	−	11.8329i	−0.00165349	−	0.886914i
$179$	5.21493	+	5.21493i	0.389782	+	0.389782i	0.874610	−	0.484828i	$-0.161118\pi$
$179$	5.21493	+	5.21493i	0.389782	+	0.389782i	−0.484828	+	0.874610i	$0.661118\pi$
$180$	−0.354560	+	4.23443i	−0.0264274	+	0.315616i
$181$	8.60768	+	23.6494i	0.639804	+	1.75785i	0.652342	+	0.757925i	$0.273787\pi$
$181$	8.60768	+	23.6494i	0.639804	+	1.75785i	−0.0125377	+	0.999921i	$0.503991\pi$
$182$	−6.41983	−	11.0718i	−0.475869	−	0.820693i
$183$	−6.38490	+	9.11859i	−0.471986	+	0.674065i
$184$	−2.96682	−	5.07295i	−0.218717	−	0.373983i
$185$	−12.3964	−	13.1820i	−0.911402	−	0.969161i
$186$	8.64429	+	10.2629i	0.633830	+	0.752516i
$187$	4.02298	−	5.74541i	0.294189	−	0.420146i
$188$	4.72510	+	1.69987i	0.344613	+	0.123976i
$189$	10.2487	−	3.73024i	0.745486	−	0.271335i
$190$	11.3979	+	11.3555i	0.826891	+	0.823813i
$191$	−3.66523	−	3.66523i	−0.265207	−	0.265207i	0.561958	−	0.827165i	$-0.310048\pi$
$191$	−3.66523	−	3.66523i	−0.265207	−	0.265207i	−0.827165	+	0.561958i	$0.810048\pi$
$192$	11.3187	−	4.26364i	0.816856	−	0.307702i
$193$	−3.86223	−	1.03488i	−0.278009	−	0.0744924i	0.117120	−	0.993118i	$-0.462634\pi$
$193$	−3.86223	−	1.03488i	−0.278009	−	0.0744924i	−0.395130	+	0.918625i	$0.629300\pi$
$194$	−18.8126	+	6.88696i	−1.35066	+	0.494455i
$195$	10.4783	−	18.1489i	0.750366	−	1.29967i
$196$	−2.23051	−	6.05791i	−0.159322	−	0.432708i
$197$	20.1711	−	3.55671i	1.43713	−	0.253405i	0.599821	−	0.800134i	$-0.295238\pi$
$197$	20.1711	−	3.55671i	1.43713	−	0.253405i	0.837310	+	0.546729i	$0.184127\pi$
$198$	1.08974	+	4.03684i	0.0774443	+	0.286886i
$199$	4.83488	+	18.0440i	0.342736	+	1.27911i	0.895235	+	0.445594i	$0.147008\pi$
$199$	4.83488	+	18.0440i	0.342736	+	1.27911i	−0.552499	+	0.833513i	$0.686326\pi$
$200$	−4.65675	−	9.84235i	−0.329282	−	0.695959i
$201$	−2.72059	+	2.28284i	−0.191895	+	0.161019i
$202$	21.4593	+	9.95799i	1.50987	+	0.700642i
$203$	−2.45852	+	1.72148i	−0.172555	+	0.120824i
$204$	4.63491	−	2.18237i	0.324509	−	0.152797i
$205$	−23.7468	+	11.0733i	−1.65855	+	0.773395i
$206$	−2.34596	+	13.4512i	−0.163451	+	0.937190i
$207$	1.47829	+	0.129334i	0.102748	+	0.00898932i
$208$	18.5786	+	1.48590i	1.28820	+	0.103029i
$209$	14.3486	+	6.69088i	0.992516	+	0.462818i
$210$	−7.92315	+	9.47827i	−0.546749	+	0.654063i
$211$	11.9502	+	20.6984i	0.822686	+	1.42493i	0.903675	+	0.428219i	$0.140859\pi$
$211$	11.9502	+	20.6984i	0.822686	+	1.42493i	−0.0809891	+	0.996715i	$0.525808\pi$
$212$	−4.84550	−	4.03516i	−0.332790	−	0.277136i
$213$	−2.53361	−	0.922157i	−0.173600	−	0.0631852i
$214$	10.5629	+	22.5424i	0.722064	+	1.54096i
$215$	14.3715	+	12.0592i	0.980131	+	0.822428i
$216$	−4.02492	+	15.3644i	−0.273861	+	1.04542i
$217$	−1.06233	−	12.1425i	−0.0721159	−	0.824289i
$218$	9.77432	+	5.61893i	0.662000	+	0.380562i
$219$	−2.76969	+	15.7077i	−0.187158	+	1.06143i
$220$	−17.4812	−	17.3513i	−1.17858	−	1.16983i
$221$	7.89431			0.531029
$222$	−7.14948	−	10.8644i	−0.479842	−	0.729168i
$223$		−	6.70737i		−	0.449159i	−0.974456	−	0.224579i	$-0.927899\pi$
$223$		−	6.70737i		−	0.449159i	0.974456	−	0.224579i	$-0.0721008\pi$
$224$	−10.6386	−	2.74457i	−0.710820	−	0.183379i
$225$	2.70763	+	0.477429i	0.180509	+	0.0318286i
$226$	−11.8103	−	6.78935i	−0.785609	−	0.451621i
$227$	−0.123006	+	0.0107617i	−0.00816422	+	0.000714277i	−0.0912371	−	0.995829i	$-0.529082\pi$
$227$	−0.123006	+	0.0107617i	−0.00816422	+	0.000714277i	0.0830729	+	0.996543i	$0.473527\pi$
$228$	6.66804	+	9.44777i	0.441602	+	0.625694i
$229$	9.35236	−	11.1457i	0.618021	−	0.736529i	−0.362708	−	0.931903i	$-0.618148\pi$
$229$	9.35236	−	11.1457i	0.618021	−	0.736529i	0.980729	+	0.195374i	$0.0625921\pi$
$230$	−7.91537	+	3.70898i	−0.521924	+	0.244563i
$231$	−4.15769	+	11.4232i	−0.273556	+	0.751588i
$232$	−0.0244451	−	4.37067i	−0.00160490	−	0.286948i
$233$	−18.0660	+	10.4304i	−1.18354	+	0.683319i	−0.956832	−	0.290642i	$-0.906131\pi$
$233$	−18.0660	+	10.4304i	−1.18354	+	0.683319i	−0.226712	+	0.973962i	$0.572798\pi$
$234$	−3.01838	+	3.61082i	−0.197318	+	0.236047i
$235$	3.15660	−	6.76935i	0.205914	−	0.441584i
$236$	−2.11026	−	23.1269i	−0.137366	−	1.50543i
$237$	−1.41727	+	16.1995i	−0.0920615	+	1.05227i
$238$	−4.58442	−	0.799547i	−0.297164	−	0.0518270i
$239$	−7.66220	−	16.4316i	−0.495626	−	1.06287i	−0.981958	−	0.189100i	$-0.939443\pi$
$239$	−7.66220	−	16.4316i	−0.495626	−	1.06287i	0.486332	−	0.873774i	$-0.338335\pi$
$240$	−4.78572	−	17.3422i	−0.308917	−	1.11944i
$241$	4.46828	+	6.38137i	0.287827	+	0.411060i	0.936862	−	0.349699i	$-0.113716\pi$
$241$	4.46828	+	6.38137i	0.287827	+	0.411060i	−0.649035	+	0.760759i	$0.724827\pi$
$242$	−7.87404	−	3.65387i	−0.506162	−	0.234880i
$243$	−4.66016	−	5.55376i	−0.298949	−	0.356274i
$244$	−3.75821	+	14.2380i	−0.240595	+	0.911493i
$245$	−9.27483	+	2.48518i	−0.592547	+	0.158772i
$246$	−18.1814	+	4.90804i	−1.15920	+	0.312925i
$247$	3.09431	+	17.5487i	0.196886	+	1.11660i
$248$	15.4217	+	8.78911i	0.979282	+	0.558109i
$249$	18.7035	+	10.7985i	1.18528	+	0.684325i
$250$	4.54471	−	1.66374i	0.287432	−	0.105224i
$251$	−2.46281	+	9.19133i	−0.155451	+	0.580152i	0.843615	+	0.536948i	$0.180423\pi$
$251$	−2.46281	+	9.19133i	−0.155451	+	0.580152i	−0.999066	+	0.0432035i	$0.986244\pi$
$252$	2.11856	−	1.79118i	0.133457	−	0.112834i
$253$	−6.08222	+	6.08222i	−0.382386	+	0.382386i
$254$	−2.36743	+	2.37627i	−0.148546	+	0.149100i
$255$	−2.60621	−	7.16050i	−0.163207	−	0.448408i
$256$	12.1020	−	10.4663i	0.756373	−	0.654141i
$257$	17.8489	+	12.4980i	1.11339	+	0.779601i	0.977461	−	0.211118i	$-0.0677104\pi$
$257$	17.8489	+	12.4980i	1.11339	+	0.779601i	0.135925	+	0.990719i	$0.456599\pi$
$258$	8.68663	+	10.3132i	0.540806	+	0.642073i
$259$	−0.362681	+	11.8085i	−0.0225359	+	0.733748i
$260$	4.71212	−	27.3190i	0.292233	−	1.69425i
$261$	0.904053	+	0.633025i	0.0559595	+	0.0391832i
$262$	−22.8623	+	13.2564i	−1.41244	+	0.818985i
$263$	−19.3672	+	7.04909i	−1.19423	+	0.434666i	−0.861208	−	0.508252i	$-0.830292\pi$
$263$	−19.3672	+	7.04909i	−1.19423	+	0.434666i	−0.333026	+	0.942918i	$0.608070\pi$
$264$	−10.2349	−	14.4444i	−0.629916	−	0.888989i
$265$	−6.63206	+	6.63206i	−0.407404	+	0.407404i
$266$	−0.0195834	−	10.5043i	−0.00120074	−	0.644062i
$267$	−12.2191	−	3.27411i	−0.747799	−	0.200372i
$268$	−2.33385	+	4.07738i	−0.142562	+	0.249065i
$269$	−17.0130	−	9.82246i	−1.03730	−	0.598886i	−0.118233	−	0.992986i	$-0.537723\pi$
$269$	−17.0130	−	9.82246i	−1.03730	−	0.598886i	−0.919067	+	0.394100i	$0.871056\pi$
$270$	22.2148	+	8.03864i	1.35195	+	0.489216i
$271$	−2.53595	+	0.447157i	−0.154048	+	0.0271629i	−0.250140	−	0.968210i	$-0.580477\pi$
$271$	−2.53595	+	0.447157i	−0.154048	+	0.0271629i	0.0960921	+	0.995372i	$0.469366\pi$
$272$	4.75617	−	4.82764i	0.288385	−	0.292719i
$273$	−13.2161	+	3.54123i	−0.799872	+	0.214325i
$274$	23.5511	−	16.5562i	1.42277	−	1.00019i
$275$	−12.2083	+	10.2439i	−0.736185	+	0.617733i
$276$	−6.06251	+	1.64870i	−0.364920	+	0.0992398i
$277$	−10.5421	−	15.0557i	−0.633413	−	0.904608i	0.366251	−	0.930516i	$-0.380641\pi$
$277$	−10.5421	−	15.0557i	−0.633413	−	0.904608i	−0.999664	+	0.0259080i	$0.991752\pi$
$278$	1.40764	+	0.374365i	0.0844248	+	0.0224530i
$279$	−4.06219	+	1.89423i	−0.243197	+	0.113405i
$280$	−5.50335	+	15.3876i	−0.328888	+	0.919583i
$281$	0.641192	−	7.32886i	0.0382503	−	0.437203i	−0.952789	−	0.303633i	$-0.901800\pi$
$281$	0.641192	−	7.32886i	0.0382503	−	0.437203i	0.991039	−	0.133570i	$-0.0426441\pi$
$282$	3.07097	−	4.40325i	0.182874	−	0.262210i
$283$	−0.434951	−	0.202821i	−0.0258551	−	0.0120564i	0.409648	−	0.912244i	$-0.365652\pi$
$283$	−0.434951	−	0.202821i	−0.0258551	−	0.0120564i	−0.435503	+	0.900187i	$0.643429\pi$
$284$	−3.56666	+	0.0132988i	−0.211642	+	0.000789138i
$285$	14.8959	−	8.60015i	0.882356	−	0.509429i
$286$	−4.78709	−	26.8561i	−0.283067	−	1.58803i
$287$	16.0751	+	5.85086i	0.948883	+	0.345365i
$288$	0.389621	+	4.02129i	0.0229586	+	0.236957i
$289$	−9.08229	+	10.8239i	−0.534253	+	0.636697i
$290$	−6.47741	−	0.554534i	−0.380367	−	0.0325633i
$291$	1.86663	+	21.3357i	0.109424	+	1.25072i
$292$	3.74134	+	20.7651i	0.218945	+	1.21519i
$293$	−17.3662	−	3.06213i	−1.01455	−	0.178892i	−0.358433	−	0.933555i	$-0.616689\pi$
$293$	−17.3662	−	3.06213i	−1.01455	−	0.178892i	−0.656112	+	0.754664i	$0.727800\pi$
$294$	−6.87395	+	0.614308i	−0.400897	+	0.0358272i
$295$	−34.5422			−2.01113
$296$	−13.8410	−	10.2189i	−0.804492	−	0.593963i
$297$	23.2469			1.34892
$298$	−5.90608	+	0.527812i	−0.342130	+	0.0305753i
$299$	−9.53425	−	1.68115i	−0.551380	−	0.0972232i
$300$	−11.4559	+	2.06406i	−0.661409	+	0.119169i
$301$	−1.06754	−	12.2020i	−0.0615319	−	0.703312i
$302$	−15.9801	−	1.36806i	−0.919551	−	0.0787231i
$303$	16.2568	−	19.3741i	0.933930	−	1.11301i
$304$	12.5959	+	8.68047i	0.722423	+	0.497859i
$305$	20.5822	+	7.49132i	1.17853	+	0.428952i
$306$	0.300295	+	1.68468i	0.0171667	+	0.0963069i
$307$	10.5185	−	6.07288i	0.600325	−	0.346598i	−0.168844	−	0.985643i	$-0.554004\pi$
$307$	10.5185	−	6.07288i	0.600325	−	0.346598i	0.769169	+	0.639045i	$0.220670\pi$
$308$	0.0599596	+	16.0808i	0.00341652	+	0.916289i
$309$	13.2296	+	6.16907i	0.752607	+	0.350946i
$310$	15.1034	−	21.6557i	0.857816	−	1.22996i
$311$	−0.387370	+	4.42766i	−0.0219658	+	0.251070i	0.977271	+	0.211996i	$0.0679963\pi$
$311$	−0.387370	+	4.42766i	−0.0219658	+	0.251070i	−0.999236	+	0.0390739i	$0.987559\pi$
$312$	6.71000	−	18.7614i	0.379879	−	1.06215i
$313$	−13.4122	+	6.25419i	−0.758100	+	0.353508i	−0.762931	−	0.646480i	$-0.776240\pi$
$313$	−13.4122	+	6.25419i	−0.758100	+	0.353508i	0.00483040	+	0.999988i	$0.498462\pi$
$314$	−21.4282	−	5.69888i	−1.20927	−	0.321607i
$315$	−2.36687	−	3.38024i	−0.133358	−	0.190455i
$316$	5.64497	+	20.7574i	0.317555	+	1.16770i
$317$	20.4703	−	17.1767i	1.14973	−	0.964737i	0.150015	−	0.988684i	$-0.452068\pi$
$317$	20.4703	−	17.1767i	1.14973	−	0.964737i	0.999713	+	0.0239467i	$0.00762321\pi$
$318$	−5.51482	+	3.87686i	−0.309256	+	0.217404i
$319$	−6.17923	+	1.65572i	−0.345970	+	0.0927024i
$320$	−13.8676	−	19.3408i	−0.775220	−	1.08118i
$321$	26.2094	−	4.62143i	1.46287	−	0.257943i
$322$	5.36650	+	1.94193i	0.299064	+	0.108219i
$323$	5.61126	+	3.23966i	0.312219	+	0.180260i
$324$	11.0175	+	6.30628i	0.612082	+	0.350349i
$325$	−17.3261	−	4.64252i	−0.961080	−	0.257521i
$326$	0.0323900	+	17.3737i	0.00179392	+	0.962239i
$327$	8.52272	−	8.52272i	0.471308	−	0.471308i
$328$	−20.3267	+	14.4030i	−1.12235	+	0.795271i
$329$	−4.58242	+	1.66787i	−0.252637	+	0.0919524i
$330$	−22.7793	+	13.2083i	−1.25396	+	0.727093i
$331$	−23.6059	−	16.5290i	−1.29750	−	0.908517i	−0.298550	−	0.954394i	$-0.596503\pi$
$331$	−23.6059	−	16.5290i	−1.29750	−	0.908517i	−0.998947	+	0.0458767i	$0.985392\pi$
$332$	28.1538	+	4.85610i	1.54514	+	0.266513i
$333$	4.12600	−	1.35982i	0.226104	−	0.0745176i
$334$	−3.28872	−	3.90453i	−0.179951	−	0.213647i
$335$	5.72422	+	4.00814i	0.312748	+	0.218988i
$336$	−5.79684	+	10.2156i	−0.316244	+	0.557307i
$337$	−2.78719	−	7.65774i	−0.151828	−	0.417144i	0.840339	−	0.542061i	$-0.182356\pi$
$337$	−2.78719	−	7.65774i	−0.151828	−	0.417144i	−0.992167	+	0.124917i	$0.960134\pi$
$338$	8.69463	−	8.72711i	0.472925	−	0.474692i
$339$	−10.2980	+	10.2980i	−0.559310	+	0.559310i
$340$	−6.50816	−	7.69765i	−0.352955	−	0.417464i
$341$	6.72421	−	25.0951i	0.364137	−	1.35898i
$342$	−3.62726	+	1.32788i	−0.196140	+	0.0718035i
$343$	17.2033	+	9.93231i	0.928889	+	0.536294i
$344$	15.4973	+	8.83217i	0.835558	+	0.476199i
$345$	1.62274	+	9.20300i	0.0873653	+	0.495473i
$346$	−30.7437	+	8.29921i	−1.65279	+	0.446168i
$347$	−12.2228	+	3.27510i	−0.656156	+	0.175816i	−0.571511	−	0.820595i	$-0.693642\pi$
$347$	−12.2228	+	3.27510i	−0.656156	+	0.175816i	−0.0846454	+	0.996411i	$0.526976\pi$
$348$	−4.51786	−	1.19252i	−0.242183	−	0.0639258i
$349$	−5.89446	−	7.02474i	−0.315523	−	0.376026i	0.584852	−	0.811140i	$-0.301152\pi$
$349$	−5.89446	−	7.02474i	−0.315523	−	0.376026i	−0.900375	+	0.435114i	$0.856708\pi$
$350$	9.59150	+	4.45084i	0.512687	+	0.237907i
$351$	15.0077	+	21.4332i	0.801052	+	1.14402i
$352$	−19.3075	−	13.2528i	−1.02910	−	0.706376i
$353$	−1.88026	−	4.03222i	−0.100076	−	0.214613i	0.849895	−	0.526952i	$-0.176665\pi$
$353$	−1.88026	−	4.03222i	−0.100076	−	0.214613i	−0.949971	+	0.312339i	$0.898888\pi$
$354$	−24.4577	−	4.26555i	−1.29991	−	0.226711i
$355$	−0.462373	+	5.28495i	−0.0245402	+	0.280496i
$356$	−16.6651	+	1.52064i	−0.883246	+	0.0805936i
$357$	−2.10254	+	4.50890i	−0.111278	+	0.238636i
$358$	6.68928	−	8.00222i	0.353539	−	0.422931i
$359$	2.47586	−	1.42944i	0.130671	−	0.0754428i	−0.433240	−	0.901279i	$-0.642630\pi$
$359$	2.47586	−	1.42944i	0.130671	−	0.0754428i	0.563910	+	0.825836i	$0.309296\pi$
$360$	6.00925	−	0.0336097i	0.316715	−	0.00177139i
$361$	1.49619	−	4.11076i	0.0787471	−	0.216356i
$362$	32.2290	−	15.1018i	1.69392	−	0.793735i
$363$	−5.96509	+	7.10891i	−0.313086	+	0.373121i
$364$	−14.7875	+	10.4367i	−0.775077	+	0.547033i
$365$	31.2643	−	2.73527i	1.63645	−	0.143171i
$366$	13.6482	+	7.84590i	0.713402	+	0.410112i
$367$	17.5612	+	3.09651i	0.916687	+	0.161637i	0.612038	−	0.790828i	$-0.290350\pi$
$367$	17.5612	+	3.09651i	0.916687	+	0.161637i	0.304649	+	0.952465i	$0.401461\pi$
$368$	−6.77228	+	4.81766i	−0.353030	+	0.251138i
$369$		−	6.29053i		−	0.327472i
$370$	−17.0077	+	19.1210i	−0.884187	+	0.994052i
$371$	6.12352			0.317917
$372$	13.3682	−	13.4683i	0.693110	−	0.698298i
$373$	−0.915475	+	5.19192i	−0.0474015	+	0.268827i	−0.999293	−	0.0376095i	$-0.988026\pi$
$373$	−0.915475	+	5.19192i	−0.0474015	+	0.268827i	0.951891	+	0.306437i	$0.0991368\pi$
$374$	−8.59940	−	4.94352i	−0.444665	−	0.255623i
$375$	−0.450937	−	5.15423i	−0.0232863	−	0.266163i
$376$	1.79963	−	6.86975i	0.0928086	−	0.354280i
$377$	−5.51572	−	4.62824i	−0.284074	−	0.238366i
$378$	−6.54456	−	13.9668i	−0.336616	−	0.718375i
$379$	−13.0666	−	4.75587i	−0.671188	−	0.244293i	−0.0161288	−	0.999870i	$-0.505134\pi$
$379$	−13.0666	−	4.75587i	−0.671188	−	0.244293i	−0.655059	+	0.755577i	$0.727356\pi$
$380$	14.5605	−	17.4845i	0.746939	−	0.896938i
$381$	1.79299	+	3.10554i	0.0918574	+	0.159102i
$382$	−4.70146	+	5.62424i	−0.240547	+	0.287761i
$383$	−27.7715	−	12.9501i	−1.41906	−	0.661717i	−0.446585	−	0.894741i	$-0.647360\pi$
$383$	−27.7715	−	12.9501i	−1.41906	−	0.661717i	−0.972471	+	0.233024i	$0.925138\pi$
$384$	−7.43059	−	15.4068i	−0.379191	−	0.786224i
$385$	23.8280	+	2.08468i	1.21439	+	0.106245i
$386$	−0.971544	+	5.57061i	−0.0494503	+	0.283536i
$387$	−4.08209	+	1.90351i	−0.207504	+	0.0967608i
$388$	12.0692	+	25.6324i	0.612719	+	1.30129i
$389$	−12.5889	+	8.81487i	−0.638285	+	0.446932i	−0.847397	−	0.530960i	$-0.821831\pi$
$389$	−12.5889	+	8.81487i	−0.638285	+	0.446932i	0.209112	+	0.977892i	$0.432943\pi$
$390$	−26.8836	−	12.4751i	−1.36130	−	0.631700i
$391$	−2.69666	+	2.26277i	−0.136376	+	0.114433i
$392$	−8.25238	+	3.90449i	−0.416808	+	0.197206i
$393$	7.31236	+	27.2901i	0.368860	+	1.37660i
$394$	−7.54918	−	27.9653i	−0.380322	−	1.40887i
$395$	31.5102	−	5.55610i	1.58545	−	0.279558i
$396$	5.54911	−	2.04317i	0.278853	−	0.102673i
$397$	−15.3744	+	26.6292i	−0.771618	+	1.33648i	0.165058	+	0.986284i	$0.447219\pi$
$397$	−15.3744	+	26.6292i	−0.771618	+	1.33648i	−0.936676	+	0.350197i	$0.886115\pi$
$398$	24.8082	−	9.08186i	1.24352	−	0.455232i
$399$	−10.8472	−	2.90650i	−0.543039	−	0.145507i
$400$	−13.2777	+	7.79849i	−0.663886	+	0.389924i
$401$	5.94157	+	5.94157i	0.296708	+	0.296708i	0.839723	−	0.543015i	$-0.182717\pi$
$401$	5.94157	+	5.94157i	0.296708	+	0.296708i	−0.543015	+	0.839723i	$0.682717\pi$
$402$	3.55809	+	3.54485i	0.177461	+	0.176801i
$403$	27.4783	−	10.0013i	1.36879	−	0.498199i
$404$	11.3255	−	31.4812i	0.563462	−	1.56625i
$405$	10.8304	−	15.4674i	0.538166	−	0.768581i
$406$	2.73436	+	3.24637i	0.135704	+	0.161115i
$407$	−9.33494	+	23.3873i	−0.462716	+	1.15927i
$408$	−3.65755	−	6.25402i	−0.181076	−	0.309620i
$409$	17.9341	−	25.6125i	0.886783	−	1.26646i	−0.0762545	−	0.997088i	$-0.524296\pi$
$409$	17.9341	−	25.6125i	0.886783	−	1.26646i	0.963037	−	0.269369i	$-0.0868150\pi$
$410$	18.5872	+	32.0559i	0.917957	+	1.58313i
$411$	−10.5262	−	28.9204i	−0.519217	−	1.42654i
$412$	19.2427	+	1.61124i	0.948019	+	0.0793802i
$413$	15.9468	+	15.9468i	0.784690	+	0.784690i
$414$	−0.00391246	−	2.09860i	−0.000192287	−	0.103141i
$415$	10.9984	−	41.0468i	0.539893	−	2.01491i
$416$	−0.245695	−	26.3569i	−0.0120462	−	1.29225i
$417$	0.778586	−	1.34855i	0.0381275	−	0.0660388i
$418$	7.61852	−	21.0538i	0.372634	−	1.02977i
$419$	3.40558	+	19.3140i	0.166373	+	0.943551i	0.947637	+	0.319350i	$0.103464\pi$
$419$	3.40558	+	19.3140i	0.166373	+	0.943551i	−0.781263	+	0.624201i	$0.785424\pi$
$420$	14.3485	+	9.96739i	0.700134	+	0.486359i
$421$	6.04994	+	22.5787i	0.294856	+	1.10042i	0.941332	+	0.337483i	$0.109576\pi$
$421$	6.04994	+	22.5787i	0.294856	+	1.10042i	−0.646476	+	0.762935i	$0.723758\pi$
$422$	27.6514	−	19.4386i	1.34605	−	0.946258i
$423$	1.15265	+	1.37367i	0.0560436	+	0.0667901i
$424$	−5.07396	+	7.33332i	−0.246413	+	0.356138i
$425$	−5.34268	+	3.74098i	−0.259158	+	0.181464i
$426$	−0.980012	+	3.68492i	−0.0474818	+	0.178535i
$427$	−6.04356	−	12.9605i	−0.292468	−	0.627200i
$428$	30.4235	−	17.7166i	1.47057	−	0.856363i
$429$	−29.0524	−	2.54176i	−1.40267	−	0.122717i
$430$	15.1774	−	21.7618i	0.731919	−	1.04945i
$431$	−5.72612	+	12.2797i	−0.275818	+	0.591493i	−0.994605	−	0.103738i	$-0.966920\pi$
$431$	−5.72612	+	12.2797i	−0.275818	+	0.591493i	0.718787	+	0.695230i	$0.244698\pi$
$432$	22.1490	+	3.73538i	1.06565	+	0.179719i
$433$	−8.98514	−	15.5627i	−0.431798	−	0.747897i	0.565230	−	0.824933i	$-0.308787\pi$
$433$	−8.98514	−	15.5627i	−0.431798	−	0.747897i	−0.997028	+	0.0770368i	$0.975454\pi$
$434$	−16.9702	+	3.02494i	−0.814597	+	0.145202i
$435$	−2.37708	+	6.53096i	−0.113972	+	0.313136i
$436$	6.68441	−	14.4754i	0.320125	−	0.693247i
$437$	−6.08702	−	5.10761i	−0.291182	−	0.244330i
$438$	22.4745	+	1.92405i	1.07387	+	0.0919348i
$439$	37.3589	−	3.26848i	1.78304	−	0.155996i	0.852632	−	0.522511i	$-0.175005\pi$
$439$	37.3589	−	3.26848i	1.78304	−	0.155996i	0.930412	+	0.366515i	$0.119449\pi$
$440$	−22.2405	+	26.8083i	−1.06027	+	1.27803i
$441$	0.400304	−	2.27023i	0.0190621	−	0.108106i
$442$	−0.993761	−	11.1199i	−0.0472684	−	0.528921i
$443$			18.6076i			0.884072i	0.896997	+	0.442036i	$0.145744\pi$
$443$			18.6076i			0.884072i	−0.896997	+	0.442036i	$0.854256\pi$
$444$	−14.4035	+	11.4384i	−0.683561	+	0.542842i
$445$			24.8909i			1.17994i
$446$	−9.44800	+	0.844344i	−0.447376	+	0.0399809i
$447$	−1.10078	+	6.24284i	−0.0520651	+	0.295276i
$448$	−2.52679	+	15.3310i	−0.119379	+	0.724322i
$449$	12.8055	−	1.12034i	0.604330	−	0.0528720i	0.219115	−	0.975699i	$-0.429683\pi$
$449$	12.8055	−	1.12034i	0.604330	−	0.0528720i	0.385215	+	0.922827i	$0.374127\pi$
$450$	0.331661	−	3.87407i	0.0156346	−	0.182626i
$451$	27.9320	+	23.4377i	1.31527	+	1.10364i
$452$	−8.07676	+	17.4906i	−0.379899	+	0.822691i
$453$	−5.86436	+	16.1122i	−0.275532	+	0.757017i
$454$	0.0306433	+	0.171912i	0.00143816	+	0.00806823i
$455$	13.4608	+	23.3148i	0.631053	+	1.09302i
$456$	12.4687	−	10.5819i	0.583902	−	0.495543i
$457$	−9.61155	+	20.6120i	−0.449610	+	0.964191i	0.542644	+	0.839963i	$0.317423\pi$
$457$	−9.61155	+	20.6120i	−0.449610	+	0.964191i	−0.992254	+	0.124228i	$0.960355\pi$
$458$	−16.8771	−	11.7707i	−0.788617	−	0.550007i
$459$	9.47773	+	0.829194i	0.442382	+	0.0387035i
$460$	6.22088	+	10.6827i	0.290050	+	0.498083i
$461$	−13.7844	−	29.5607i	−0.642002	−	1.37678i	−0.910505	−	0.413499i	$-0.864307\pi$
$461$	−13.7844	−	29.5607i	−0.642002	−	1.37678i	0.268502	−	0.963279i	$-0.413471\pi$
$462$	16.6140	+	4.41854i	0.772955	+	0.205569i
$463$	16.8200	−	11.7775i	0.781690	−	0.547345i	−0.113231	−	0.993569i	$-0.536120\pi$
$463$	16.8200	−	11.7775i	0.781690	−	0.547345i	0.894922	+	0.446223i	$0.147231\pi$
$464$	−6.15344	+	0.584627i	−0.285666	+	0.0271406i
$465$	−18.1432	−	21.6222i	−0.841370	−	1.00271i
$466$	16.9665	+	24.1348i	0.785958	+	1.11802i
$467$	−5.97345	−	22.2932i	−0.276418	−	1.03161i	−0.954885	−	0.296976i	$-0.904022\pi$
$467$	−5.97345	−	22.2932i	−0.276418	−	1.03161i	0.678467	−	0.734631i	$-0.262645\pi$
$468$	5.46616	+	3.79715i	0.252673	+	0.175523i
$469$	−0.792246	−	4.49305i	−0.0365825	−	0.207470i
$470$	−9.93267	−	3.59424i	−0.458160	−	0.165790i
$471$	−11.8522	+	20.5287i	−0.546123	+	0.945912i
$472$	−32.3109	+	5.88380i	−1.48723	+	0.270824i
$473$	6.75715	−	25.2180i	0.310694	−	1.15953i
$474$	22.9970	−	0.0428736i	1.05629	−	0.00196925i
$475$	−10.4102	−	10.4102i	−0.477652	−	0.477652i
$476$	−0.549141	+	6.55826i	−0.0251698	+	0.300598i
$477$	−0.770144	−	2.11595i	−0.0352625	−	0.0968829i
$478$	−22.1811	+	12.8614i	−1.01454	+	0.588268i
$479$	−10.7524	+	15.3560i	−0.491289	+	0.701633i	−0.985873	−	0.167497i	$-0.946432\pi$
$479$	−10.7524	+	15.3560i	−0.491289	+	0.701633i	0.494584	+	0.869130i	$0.335321\pi$
$480$	−23.8258	+	8.92426i	−1.08749	+	0.407335i
$481$	−27.5891	+	6.49170i	−1.25796	+	0.295996i
$482$	8.42631	−	7.09733i	0.383808	−	0.323274i
$483$	3.49951	−	4.99782i	0.159233	−	0.227409i
$484$	−4.15563	+	11.5513i	−0.188892	+	0.525060i
$485$	39.5996	−	14.4131i	1.79813	−	0.654465i
$486$	−7.23639	+	7.26342i	−0.328249	+	0.329476i
$487$	−12.1892	−	12.1892i	−0.552346	−	0.552346i	0.374771	−	0.927117i	$-0.377721\pi$
$487$	−12.1892	−	12.1892i	−0.552346	−	0.552346i	−0.927117	+	0.374771i	$0.877721\pi$
$488$	20.5287	+	3.50150i	0.929291	+	0.158505i
$489$	17.9407	+	4.80721i	0.811309	+	0.217389i
$490$	4.66817	+	12.7517i	0.210886	+	0.576062i
$491$	−1.24757	+	2.16085i	−0.0563018	+	0.0975177i	−0.892803	−	0.450448i	$-0.851264\pi$
$491$	−1.24757	+	2.16085i	−0.0563018	+	0.0975177i	0.836501	+	0.547966i	$0.184598\pi$
$492$	9.20220	+	24.9925i	0.414867	+	1.12675i
$493$	−2.57832	+	0.454627i	−0.116122	+	0.0204754i
$494$	24.3295	−	6.56772i	1.09464	−	0.295496i
$495$	−2.27646	−	8.49585i	−0.102319	−	0.381860i
$496$	10.4390	−	22.8295i	0.468725	−	1.02507i
$497$	2.65331	−	2.22639i	0.119017	−	0.0998675i
$498$	12.8563	−	27.7051i	0.576103	−	1.24149i
$499$	24.8782	−	17.4199i	1.11370	−	0.779823i	0.136186	−	0.990683i	$-0.456515\pi$
$499$	24.8782	−	17.4199i	1.11370	−	0.779823i	0.977516	+	0.210861i	$0.0676266\pi$
$500$	−2.91564	−	6.19223i	−0.130392	−	0.276925i
$501$	−4.94625	+	2.30647i	−0.220982	+	0.103046i
$502$	13.2569	+	2.31208i	0.591686	+	0.103193i
$503$	−13.3963	−	1.17203i	−0.597313	−	0.0522581i	−0.215510	−	0.976502i	$-0.569141\pi$
$503$	−13.3963	−	1.17203i	−0.597313	−	0.0522581i	−0.381803	+	0.924244i	$0.624697\pi$
$504$	−2.78975	−	2.75872i	−0.124265	−	0.122883i
$505$	−45.1011	−	21.0310i	−2.00697	−	0.935867i
$506$	9.33306	+	7.80176i	0.414905	+	0.346831i
$507$	−6.58493	−	11.4054i	−0.292447	−	0.506533i
$508$	3.64523	+	3.03562i	0.161731	+	0.134684i
$509$	8.56530	+	3.11752i	0.379650	+	0.138181i	0.524794	−	0.851229i	$-0.324142\pi$
$509$	8.56530	+	3.11752i	0.379650	+	0.138181i	−0.145144	+	0.989411i	$0.546364\pi$
$510$	−9.75820	+	4.57249i	−0.432100	+	0.202473i
$511$	−15.6963	−	13.1707i	−0.694362	−	0.582639i
$512$	−16.2662	−	15.7293i	−0.718871	−	0.695143i
$513$	1.87169	+	21.3935i	0.0826373	+	0.944548i
$514$	15.3577	−	26.7153i	0.677401	−	1.17836i
$515$	4.98753	−	28.2857i	0.219777	−	1.24642i
$516$	13.4337	−	13.5343i	0.591386	−	0.595812i
$517$	−10.3942			−0.457135
$518$	16.6792	−	0.975624i	0.732841	−	0.0428665i
$519$			34.0435i			1.49434i
$520$	−39.0747	−	3.19849i	−1.71354	−	0.140263i
$521$	−21.4635	−	3.78459i	−0.940332	−	0.165806i	−0.317585	−	0.948230i	$-0.602872\pi$
$521$	−21.4635	−	3.78459i	−0.940332	−	0.165806i	−0.622746	+	0.782424i	$0.713983\pi$
$522$	0.777873	−	1.35314i	0.0340466	−	0.0592252i
$523$	−7.72153	+	0.675546i	−0.337639	+	0.0295396i	−0.254715	−	0.967016i	$-0.581982\pi$
$523$	−7.72153	+	0.675546i	−0.337639	+	0.0295396i	−0.0829243	+	0.996556i	$0.526426\pi$
$524$	21.5510	+	30.5350i	0.941459	+	1.33393i
$525$	7.26618	−	8.65949i	0.317122	−	0.377931i
$526$	12.3674	+	26.3933i	0.539243	+	1.15080i
$527$	3.63657	−	9.99139i	0.158411	−	0.435232i
$528$	−19.0579	+	16.2352i	−0.829390	+	0.706547i
$529$	−16.1799	+	9.34145i	−0.703472	+	0.406150i
$530$	10.1768	+	8.50705i	0.442051	+	0.369523i
$531$	3.50474	−	7.51594i	0.152093	−	0.326164i
$532$	−14.7939	+	1.34990i	−0.641399	+	0.0585258i
$533$	−3.57686	+	40.8837i	−0.154931	+	1.77087i
$534$	−3.07372	+	17.6240i	−0.133013	+	0.762666i
$535$	−22.1308	−	47.4597i	−0.956800	−	2.05186i
$536$	6.03718	+	2.77418i	0.260767	+	0.119826i
$537$	−6.39549	−	9.13371i	−0.275986	−	0.394149i
$538$	−11.6943	+	25.2010i	−0.504175	+	1.08649i
$539$	8.58910	+	10.2361i	0.369959	+	0.440900i
$540$	8.52676	−	32.3036i	0.366934	−	1.39013i
$541$	−1.20797	+	0.323676i	−0.0519348	+	0.0139159i	−0.284693	−	0.958619i	$-0.591892\pi$
$541$	−1.20797	+	0.323676i	−0.0519348	+	0.0139159i	0.232758	+	0.972535i	$0.425225\pi$
$542$	0.949099	+	3.51585i	0.0407673	+	0.151019i
$543$	−6.60730	−	37.4718i	−0.283546	−	1.60807i
$544$	−7.39894	−	6.09183i	−0.317227	−	0.261185i
$545$	−20.5384	−	11.8579i	−0.879770	−	0.507936i
$546$	6.65186	+	18.1704i	0.284673	+	0.777620i
$547$	−5.43684	+	20.2906i	−0.232463	+	0.867562i	0.746814	+	0.665033i	$0.231583\pi$
$547$	−5.43684	+	20.2906i	−0.232463	+	0.867562i	−0.979276	+	0.202529i	$0.935084\pi$
$548$	−26.2857	−	31.0899i	−1.12287	−	1.32809i
$549$	−3.71834	+	3.71834i	−0.158695	+	0.158695i
$550$	15.9664	+	15.9070i	0.680811	+	0.678277i
$551$	−2.02123	−	5.55328i	−0.0861072	−	0.236578i
$552$	3.08552	+	8.33210i	0.131328	+	0.354638i
$553$	−17.1120	−	11.9820i	−0.727678	−	0.509526i
$554$	−19.8804	+	16.7449i	−0.844635	+	0.711421i
$555$	14.9965	+	22.8814i	0.636565	+	0.971263i
$556$	0.350133	−	2.02993i	0.0148489	−	0.0860883i
$557$	−6.86528	−	4.80712i	−0.290891	−	0.203684i	0.419017	−	0.907978i	$-0.362375\pi$
$557$	−6.86528	−	4.80712i	−0.290891	−	0.203684i	−0.709908	+	0.704294i	$0.751264\pi$
$558$	3.17957	+	5.48355i	0.134602	+	0.232137i
$559$	27.6129	−	10.0503i	1.16790	−	0.425081i
$560$	22.3677	+	5.81499i	0.945208	+	0.245728i
$561$	−7.49826	+	7.49826i	−0.316577	+	0.316577i
$562$	−10.4041	+	0.0193966i	−0.438873	+	0.000818197i
$563$	−13.8107	−	3.70056i	−0.582050	−	0.155960i	−0.0442327	−	0.999021i	$-0.514084\pi$
$563$	−13.8107	−	3.70056i	−0.582050	−	0.155960i	−0.537817	+	0.843061i	$0.680751\pi$
$564$	−6.58900	−	3.77147i	−0.277447	−	0.158808i
$565$	24.8166	+	14.3279i	1.04404	+	0.602777i
$566$	−0.230940	+	0.638203i	−0.00970715	+	0.0268257i
$567$	−12.1407	+	2.14073i	−0.509860	+	0.0899020i
$568$	0.467714	+	5.02232i	0.0196249	+	0.210732i
$569$	3.20362	−	0.858406i	0.134303	−	0.0359863i	−0.191042	−	0.981582i	$-0.561187\pi$
$569$	3.20362	−	0.858406i	0.134303	−	0.0359863i	0.325344	+	0.945596i	$0.394520\pi$
$570$	−13.9893	−	19.8997i	−0.585947	−	0.833508i
$571$	−2.59169	+	2.17469i	−0.108459	+	0.0910078i	−0.695404	−	0.718619i	$-0.744775\pi$
$571$	−2.59169	+	2.17469i	−0.108459	+	0.0910078i	0.586946	+	0.809626i	$0.300330\pi$
$572$	−37.2268	+	10.1238i	−1.55653	+	0.423298i
$573$	4.49497	+	6.41949i	0.187780	+	0.268178i
$574$	6.21794	−	23.3799i	0.259532	−	0.975859i
$575$	7.24922	−	3.38036i	0.302313	−	0.140971i
$576$	5.61535	−	1.05503i	0.233973	−	0.0439597i
$577$	1.49386	−	17.0749i	0.0621903	−	0.710839i	−0.899540	−	0.436839i	$-0.856098\pi$
$577$	1.49386	−	17.0749i	0.0621903	−	0.710839i	0.961730	−	0.273999i	$-0.0883466\pi$
$578$	16.3898	+	11.4308i	0.681725	+	0.475458i
$579$	5.47884	+	2.55483i	0.227693	+	0.106175i
$580$	0.0342807	+	9.19389i	0.00142343	+	0.381755i
$581$	−24.0272	+	13.8721i	−0.996818	+	0.575513i
$582$	29.8184	−	5.31513i	1.23601	−	0.220319i
$583$	12.2650	+	4.46409i	0.507964	+	0.184884i
$584$	28.7788	−	7.88403i	1.19087	−	0.326243i
$585$	6.36339	−	7.58359i	0.263094	−	0.313543i
$586$	−2.12721	+	24.8475i	−0.0878741	+	1.02644i
$587$	−2.03658	−	23.2782i	−0.0840585	−	0.960793i	−0.914740	−	0.404044i	$-0.867604\pi$
$587$	−2.03658	−	23.2782i	−0.0840585	−	0.960793i	0.830681	−	0.556749i	$-0.187951\pi$
$588$	1.73063	+	9.60531i	0.0713699	+	0.396116i
$589$	23.6358	+	4.16763i	0.973896	+	0.171724i
$590$	4.34828	+	48.6562i	0.179016	+	2.00314i
$591$	−30.9669			−1.27381
$592$	−12.6520	+	20.7828i	−0.519995	+	0.854169i
$593$	−41.7759			−1.71553			−0.857766	−	0.514040i	$-0.828148\pi$
$593$	−41.7759			−1.71553			−0.857766	+	0.514040i	$0.828148\pi$
$594$	−2.92639	−	32.7456i	−0.120071	−	1.34357i
$595$	9.64029	+	1.69984i	0.395213	+	0.0696868i
$596$	1.48695	+	8.25286i	0.0609079	+	0.338050i
$597$	−2.46153	−	28.1354i	−0.100744	−	1.15151i
$598$	−1.16786	+	13.6416i	−0.0477574	+	0.557845i
$599$	−20.4624	+	24.3861i	−0.836070	+	0.996389i	0.163881	+	0.986480i	$0.447599\pi$
$599$	−20.4624	+	24.3861i	−0.836070	+	0.996389i	−0.999951	+	0.00990931i	$0.996846\pi$
$600$	4.34955	+	15.8770i	0.177570	+	0.648176i
$601$	6.09572	+	2.21866i	0.248650	+	0.0905010i	0.463338	−	0.886181i	$-0.346651\pi$
$601$	6.09572	+	2.21866i	0.248650	+	0.0905010i	−0.214689	+	0.976683i	$0.568874\pi$
$602$	−17.0534	+	3.03976i	−0.695043	+	0.123891i
$603$	−1.45291	+	0.838840i	−0.0591672	+	0.0341602i
$604$	0.0845722	+	22.6818i	0.00344119	+	0.922908i
$605$	16.5489	+	7.71687i	0.672807	+	0.313735i
$606$	−29.3368	−	20.4605i	−1.19173	−	0.831150i
$607$	2.62840	−	30.0428i	0.106684	−	1.21940i	−0.734485	−	0.678625i	$-0.762576\pi$
$607$	2.62840	−	30.0428i	0.106684	−	1.21940i	0.841168	−	0.540773i	$-0.181868\pi$
$608$	10.6417	−	18.8353i	0.431578	−	0.763871i
$609$	4.11249	−	1.91769i	0.166647	−	0.0777085i
$610$	7.96131	−	29.9351i	0.322344	−	1.21204i
$611$	−6.71025	−	9.58323i	−0.271468	−	0.387696i
$612$	2.33524	−	0.635068i	0.0943966	−	0.0256711i
$613$	0.288105	−	0.241749i	0.0116365	−	0.00976416i	−0.636951	−	0.770904i	$-0.719805\pi$
$613$	0.288105	−	0.241749i	0.0116365	−	0.00976416i	0.648587	+	0.761140i	$0.275360\pi$
$614$	−9.87837	−	14.0519i	−0.398659	−	0.567090i
$615$	38.2642	−	10.2529i	1.54296	−	0.413436i
$616$	22.6439	−	2.10876i	0.912348	−	0.0849645i
$617$	12.1288	−	2.13863i	0.488286	−	0.0860981i	0.0759158	−	0.997114i	$-0.475812\pi$
$617$	12.1288	−	2.13863i	0.488286	−	0.0860981i	0.412371	+	0.911016i	$0.364701\pi$
$618$	7.02437	−	19.4118i	0.282562	−	0.780858i
$619$	−13.3250	−	7.69318i	−0.535576	−	0.309215i	0.207708	−	0.978191i	$-0.433400\pi$
$619$	−13.3250	−	7.69318i	−0.535576	−	0.309215i	−0.743284	+	0.668976i	$0.766733\pi$
$620$	−32.4055	−	18.5486i	−1.30144	−	0.744928i
$621$	−11.2700	−	3.01979i	−0.452250	−	0.121180i
$622$	6.28557	−	0.0117183i	0.252028	−	0.000469860i
$623$	11.4911	−	11.4911i	0.460382	−	0.460382i
$624$	−27.2720	−	7.08996i	−1.09175	−	0.283825i
$625$	−27.6537	+	10.0651i	−1.10615	+	0.402606i
$626$	10.4980	+	18.1051i	0.419585	+	0.723624i
$627$	−19.6073	−	13.7292i	−0.783041	−	0.548291i
$628$	−5.32999	+	30.9012i	−0.212690	+	1.23309i
$629$	−4.64005	+	9.20201i	−0.185011	+	0.366908i
$630$	−4.46345	+	3.75948i	−0.177828	+	0.149781i
$631$	−12.0500	−	8.43748i	−0.479702	−	0.335891i	0.308587	−	0.951196i	$-0.400144\pi$
$631$	−12.0500	−	8.43748i	−0.479702	−	0.335891i	−0.788289	+	0.615305i	$0.789033\pi$
$632$	28.5283	−	10.5645i	1.13480	−	0.420234i
$633$	−12.3588	−	33.9555i	−0.491218	−	1.34961i
$634$	−26.7719	−	26.6723i	−1.06325	−	1.05929i
$635$	4.98925	−	4.98925i	0.197992	−	0.197992i
$636$	6.15517	+	7.28014i	0.244068	+	0.288676i
$637$	−3.89255	+	14.5272i	−0.154229	+	0.575589i
$638$	3.11010	+	8.49563i	0.123130	+	0.336345i
$639$	−1.10302	−	0.636831i	−0.0436349	−	0.0251926i
$640$	−25.4978	+	21.9685i	−1.00789	+	0.868382i
$641$	−4.42806	−	25.1128i	−0.174898	−	0.991895i	−0.938262	−	0.345926i	$-0.887565\pi$
$641$	−4.42806	−	25.1128i	−0.174898	−	0.991895i	0.763364	−	0.645969i	$-0.223546\pi$
$642$	−9.80907	−	36.3369i	−0.387133	−	1.43410i
$643$	34.5044	−	9.24542i	1.36072	−	0.364604i	0.496639	−	0.867957i	$-0.334567\pi$
$643$	34.5044	−	9.24542i	1.36072	−	0.364604i	0.864081	+	0.503354i	$0.167901\pi$
$644$	2.05984	−	7.80371i	0.0811692	−	0.307509i
$645$	−18.2321	−	21.7281i	−0.717887	−	0.855545i
$646$	3.85703	−	8.31184i	0.151753	−	0.327025i
$647$	11.3550	+	16.2166i	0.446412	+	0.637542i	0.977789	−	0.209594i	$-0.0672141\pi$
$647$	11.3550	+	16.2166i	0.446412	+	0.637542i	−0.531377	+	0.847135i	$0.678325\pi$
$648$	7.49612	−	16.3131i	0.294475	−	0.640838i
$649$	20.3150	+	43.5656i	0.797433	+	1.71010i
$650$	−4.35839	+	24.9900i	−0.170950	+	0.980188i
$651$	−1.60613	+	18.3581i	−0.0629491	+	0.719512i
$652$	24.4685	−	2.23268i	0.958260	−	0.0874384i
$653$	−19.2038	+	41.1827i	−0.751503	+	1.61160i	0.0390706	+	0.999236i	$0.487560\pi$
$653$	−19.2038	+	41.1827i	−0.751503	+	1.61160i	−0.790574	+	0.612367i	$0.790217\pi$
$654$	−13.0780	−	10.9322i	−0.511389	−	0.427484i
$655$	48.1432	−	27.7955i	1.88111	−	1.08606i
$656$	22.8468	+	26.8190i	0.892018	+	1.04711i
$657$	−2.57699	+	7.08023i	−0.100538	+	0.276226i
$658$	2.92620	+	6.24484i	0.114075	+	0.243449i
$659$	11.4445	−	13.6391i	0.445816	−	0.531303i	−0.495600	−	0.868551i	$-0.665052\pi$
$659$	11.4445	−	13.6391i	0.445816	−	0.531303i	0.941416	+	0.337248i	$0.109496\pi$
$660$	21.4727	+	30.4242i	0.835825	+	1.18426i
$661$	12.6343	−	1.10536i	0.491417	−	0.0429935i	0.161246	−	0.986914i	$-0.448449\pi$
$661$	12.6343	−	1.10536i	0.491417	−	0.0429935i	0.330172	+	0.943921i	$0.392893\pi$
$662$	−20.3112	+	35.3320i	−0.789417	+	1.37322i
$663$	−11.7540	−	2.07254i	−0.456487	−	0.0804909i
$664$	3.29622	−	40.2687i	0.127918	−	1.56273i
$665$			22.0962i			0.856853i
$666$	−2.43483	−	5.64071i	−0.0943479	−	0.218573i
$667$	3.21075			0.124321
$668$	−5.08593	+	5.12400i	−0.196781	+	0.198254i
$669$	−1.76093	+	9.98672i	−0.0680814	+	0.386109i
$670$	4.92529	−	8.56769i	0.190280	−	0.330999i
$671$	−2.65657	−	30.3647i	−0.102556	−	1.17222i
$672$	15.1194	+	6.87946i	0.583244	+	0.265381i
$673$	−16.1847	−	13.5806i	−0.623874	−	0.523492i	0.275145	−	0.961403i	$-0.411274\pi$
$673$	−16.1847	−	13.5806i	−0.623874	−	0.523492i	−0.899018	+	0.437911i	$0.855719\pi$
$674$	−10.4358	+	4.89001i	−0.401973	+	0.188356i
$675$	−20.3137	−	7.39358i	−0.781875	−	0.284579i
$676$	−13.3875	−	11.1487i	−0.514904	−	0.428794i
$677$	−7.38399	−	12.7894i	−0.283790	−	0.491538i	0.688525	−	0.725212i	$-0.258258\pi$
$677$	−7.38399	−	12.7894i	−0.283790	−	0.491538i	−0.972315	+	0.233674i	$0.924925\pi$
$678$	15.8021	+	13.2094i	0.606876	+	0.507304i
$679$	−24.9356	−	11.6276i	−0.956939	−	0.446228i
$680$	−10.0236	+	10.1364i	−0.384389	+	0.388713i
$681$	0.185972	+	0.0162704i	0.00712645	+	0.000623484i
$682$	−36.1954	−	6.31268i	−1.38599	−	0.241725i
$683$	25.3129	−	11.8036i	0.968572	−	0.451653i	0.127062	−	0.991895i	$-0.459445\pi$
$683$	25.3129	−	11.8036i	0.968572	−	0.451653i	0.841510	+	0.540242i	$0.181667\pi$
$684$	2.32706	+	4.94221i	0.0889775	+	0.188970i
$685$	−49.6051	+	34.7339i	−1.89531	+	1.32711i
$686$	11.8251	−	25.4828i	0.451483	−	0.972939i
$687$	−16.8510	+	14.1397i	−0.642907	+	0.539463i
$688$	10.4901	−	22.9413i	0.399933	−	0.874629i
$689$	3.80221	+	14.1900i	0.144853	+	0.540597i
$690$	12.7591	−	3.44429i	0.485730	−	0.131122i
$691$	−47.6926	+	8.40949i	−1.81431	+	0.319912i	−0.974741	−	0.223337i	$-0.928305\pi$
$691$	−47.6926	+	8.40949i	−1.81431	+	0.319912i	−0.839571	+	0.543250i	$0.817194\pi$
$692$	15.5604	+	42.2608i	0.591517	+	1.60652i
$693$	−2.87125	+	4.97315i	−0.109070	+	0.188914i
$694$	6.15195	+	16.8048i	0.233525	+	0.637901i
$695$	−2.95954	−	0.793006i	−0.112262	−	0.0300804i
$696$	−1.11106	+	6.51398i	−0.0421147	+	0.246912i
$697$	10.5518	+	10.5518i	0.399679	+	0.399679i
$698$	−9.15303	+	9.18723i	−0.346447	+	0.347742i
$699$	29.6372	−	10.7870i	1.12098	−	0.408004i
$700$	5.06204	−	14.0709i	0.191327	−	0.531829i
$701$	−0.883163	+	1.26129i	−0.0333566	+	0.0476382i	−0.835484	−	0.549515i	$-0.814813\pi$
$701$	−0.883163	+	1.26129i	−0.0333566	+	0.0476382i	0.802127	+	0.597153i	$0.203701\pi$
$702$	28.3016	−	23.8379i	1.06818	−	0.899705i
$703$	−22.2744	−	6.70772i	−0.840093	−	0.252986i
$704$	−16.2374	+	28.8649i	−0.611970	+	1.08789i
$705$	−6.47712	+	9.25028i	−0.243942	+	0.348386i
$706$	−5.44309	+	3.15612i	−0.204854	+	0.118782i
$707$	11.1122	+	30.5306i	0.417918	+	1.14822i
$708$	−2.92964	+	34.9880i	−0.110103	+	1.31493i
$709$	−5.51361	−	5.51361i	−0.207068	−	0.207068i	0.595952	−	0.803020i	$-0.296775\pi$
$709$	−5.51361	−	5.51361i	−0.207068	−	0.207068i	−0.803020	+	0.595952i	$0.796775\pi$
$710$	7.50259	−	0.0139872i	0.281567	−	0.000524930i
$711$	−1.98817	+	7.41994i	−0.0745621	+	0.278270i
$712$	4.23982	+	23.2830i	0.158894	+	0.872566i
$713$	−6.51975	+	11.2925i	−0.244167	+	0.422909i
$714$	6.61591	+	2.39404i	0.247594	+	0.0895946i
$715$	9.96442	+	56.5111i	0.372648	+	2.11339i
$716$	−12.1140	−	8.41517i	−0.452721	−	0.314490i
$717$	7.09448	+	26.4769i	0.264948	+	0.988800i
$718$	−2.32517	−	3.30755i	−0.0867746	−	0.123437i
$719$	17.2036	+	20.5025i	0.641587	+	0.764614i	0.984620	−	0.174710i	$-0.0558987\pi$
$719$	17.2036	+	20.5025i	0.641587	+	0.764614i	−0.343033	+	0.939323i	$0.611454\pi$
$720$	−0.803806	−	8.46040i	−0.0299561	−	0.315301i
$721$	−15.3609	+	10.7558i	−0.572071	+	0.400568i
$722$	−5.97876	−	1.59006i	−0.222507	−	0.0591761i
$723$	−4.97756	−	10.6744i	−0.185118	−	0.396986i
$724$	−25.3295	−	43.4967i	−0.941365	−	1.61654i
$725$	5.92615	+	0.518471i	0.220092	+	0.0192555i
$726$	10.7645	+	7.50753i	0.399509	+	0.278631i
$727$	−1.87815	+	4.02770i	−0.0696566	+	0.149379i	−0.938053	−	0.346491i	$-0.887373\pi$
$727$	−1.87815	+	4.02770i	−0.0696566	+	0.149379i	0.868397	+	0.495870i	$0.165151\pi$
$728$	16.5627	+	19.5159i	0.613853	+	0.723307i
$729$	15.0015	+	25.9834i	0.555611	+	0.962347i
$730$	−7.78855	−	43.6946i	−0.288267	−	1.61721i
$731$	3.65438	−	10.0403i	0.135162	−	0.371355i
$732$	9.33365	−	20.2125i	0.344982	−	0.747076i
$733$	27.9975	+	23.4927i	1.03411	+	0.867723i	0.991335	−	0.131362i	$-0.0419349\pi$
$733$	27.9975	+	23.4927i	1.03411	+	0.867723i	0.0427774	+	0.999085i	$0.486379\pi$
$734$	2.15109	−	25.1265i	0.0793981	−	0.927436i
$735$	14.4619	−	1.26525i	0.533435	−	0.0466695i
$736$	7.63868	+	8.93298i	0.281565	+	0.329274i
$737$	1.68865	−	9.57682i	0.0622023	−	0.352767i
$738$	−8.86084	+	0.791872i	−0.326172	+	0.0291492i
$739$			28.1398i			1.03514i	0.855641	+	0.517569i	$0.173163\pi$
$739$			28.1398i			1.03514i	−0.855641	+	0.517569i	$0.826837\pi$
$740$	29.0748	+	21.5500i	1.06881	+	0.792194i
$741$		−	26.9409i		−	0.989699i
$742$	−0.770848	−	8.62559i	−0.0282987	−	0.316655i
$743$	6.19571	−	35.1376i	0.227299	−	1.28907i	−0.630944	−	0.775829i	$-0.717332\pi$
$743$	6.19571	−	35.1376i	0.227299	−	1.28907i	0.858242	−	0.513245i	$-0.171557\pi$
$744$	−20.6542	−	17.1350i	−0.757221	−	0.628201i
$745$	12.4256	−	1.08710i	0.455240	−	0.0398283i
$746$	7.42858	+	0.635963i	0.271980	+	0.0232843i
$747$	7.81531	+	6.55783i	0.285947	+	0.239938i
$748$	−5.88092	+	12.7354i	−0.215028	+	0.465653i
$749$	−11.6934	+	32.1272i	−0.427266	+	1.17390i
$750$	−7.20348	+	1.28402i	−0.263034	+	0.0468858i
$751$	7.28098	+	12.6110i	0.265687	+	0.460183i	0.967743	−	0.251938i	$-0.0810680\pi$
$751$	7.28098	+	12.6110i	0.265687	+	0.460183i	−0.702057	+	0.712121i	$0.747735\pi$
$752$	−9.90328	−	1.67017i	−0.361135	−	0.0609047i
$753$	6.07998	−	13.0386i	0.221567	−	0.475152i
$754$	−5.82500	+	8.35206i	−0.212134	+	0.304164i
$755$	33.6091	+	2.94041i	1.22316	+	0.107013i
$756$	−18.8498	+	10.9768i	−0.685560	+	0.399224i
$757$	−9.97007	−	21.3809i	−0.362368	−	0.777101i	−0.999977	−	0.00674101i	$-0.997854\pi$
$757$	−9.97007	−	21.3809i	−0.362368	−	0.777101i	0.637609	−	0.770360i	$-0.279924\pi$
$758$	−5.05425	+	19.0044i	−0.183578	+	0.690269i
$759$	10.6527	−	7.45912i	0.386669	−	0.270749i
$760$	−26.4616	−	18.3089i	−0.959865	−	0.664135i
$761$	21.1135	+	25.1621i	0.765364	+	0.912125i	0.998174	−	0.0603967i	$-0.0192366\pi$
$761$	21.1135	+	25.1621i	0.765364	+	0.912125i	−0.232810	+	0.972522i	$0.574792\pi$
$762$	4.14876	−	2.91653i	0.150294	−	0.105655i
$763$	4.00748	+	14.9561i	0.145080	+	0.541447i
$764$	8.51413	+	5.91447i	0.308031	+	0.213978i
$765$	−0.625069	−	3.54494i	−0.0225994	−	0.128168i
$766$	−14.7455	+	40.7491i	−0.532776	+	1.47232i
$767$	−27.0518	+	46.8551i	−0.976785	+	1.69184i
$768$	−20.7666	+	12.4062i	−0.749350	+	0.447670i
$769$	−11.4096	+	42.5810i	−0.411439	+	1.53551i	0.380424	+	0.924812i	$0.375778\pi$
$769$	−11.4096	+	42.5810i	−0.411439	+	1.53551i	−0.791863	+	0.610699i	$0.790889\pi$
$770$	−0.0630634	−	33.8266i	−0.00227265	−	1.21902i
$771$	−23.2944	−	23.2944i	−0.838928	−	0.838928i
$772$	7.96906	+	0.667271i	0.286813	+	0.0240156i
$773$	2.28893	+	6.28878i	0.0823271	+	0.226192i	0.974026	−	0.226438i	$-0.0727081\pi$
$773$	2.28893	+	6.28878i	0.0823271	+	0.226192i	−0.891698	+	0.452630i	$0.850486\pi$
$774$	3.19515	+	5.51041i	0.114847	+	0.198068i
$775$	−13.8572	+	19.7901i	−0.497764	+	0.710881i
$776$	34.5865	−	20.2273i	1.24158	−	0.726118i
$777$	3.64018	−	17.4867i	0.130591	−	0.627333i
$778$	14.0014	+	16.6231i	0.501973	+	0.595968i
$779$	−19.3203	+	27.5922i	−0.692220	+	0.988593i
$780$	−14.1882	+	39.4387i	−0.508019	+	1.41213i
$781$	6.93746	−	2.52503i	0.248242	−	0.0903527i
$782$	3.52679	+	3.51367i	0.126118	+	0.125649i
$783$	−6.13591	−	6.13591i	−0.219280	−	0.219280i
$784$	6.53869	+	11.1328i	0.233525	+	0.397600i
$785$	45.0524	+	12.0718i	1.60799	+	0.430859i
$786$	37.5203	−	13.7356i	1.33831	−	0.489931i
$787$	−19.4747	+	33.7312i	−0.694199	+	1.20239i	0.276251	+	0.961085i	$0.410908\pi$
$787$	−19.4747	+	33.7312i	−0.694199	+	1.20239i	−0.970450	+	0.241302i	$0.922425\pi$
$788$	−38.4416	+	14.1541i	−1.36942	+	0.504220i
$789$	30.6868	−	5.41092i	1.09248	−	0.192634i
$790$	−11.7929	−	43.6858i	−0.419573	−	1.55427i
$791$	−4.84223	−	18.0714i	−0.172170	−	0.642547i
$792$	−3.57656	−	7.55928i	−0.127087	−	0.268607i
$793$	26.2807	−	22.0521i	0.933254	−	0.783093i
$794$	39.4453	+	18.3042i	1.39986	+	0.649591i
$795$	11.6157	−	8.13343i	0.411968	−	0.288463i
$796$	−15.9156	−	33.8016i	−0.564115	−	1.19806i
$797$	22.1861	−	10.3456i	0.785874	−	0.366459i	0.0121046	−	0.999927i	$-0.496147\pi$
$797$	22.1861	−	10.3456i	0.785874	−	0.366459i	0.773769	+	0.633468i	$0.218369\pi$
$798$	−2.72861	+	15.6452i	−0.0965918	+	0.553835i
$799$	−4.23768	−	0.370749i	−0.149919	−	0.0131162i
$800$	12.6564	+	17.7213i	0.447471	+	0.626542i
$801$	−5.41593	−	2.52549i	−0.191362	−	0.0892337i
$802$	7.62135	−	9.11724i	0.269119	−	0.321941i
$803$	−21.8370	−	37.8228i	−0.770610	−	1.33474i
$804$	4.54537	−	5.45816i	0.160303	−	0.192494i
$805$	−11.2809	−	4.10593i	−0.397601	−	0.144715i
$806$	−17.5468	−	37.4469i	−0.618061	−	1.31901i
$807$	22.7522	+	19.0914i	0.800915	+	0.672047i
$808$	−45.7700	−	11.9901i	−1.61018	−	0.421810i
$809$	−3.57309	−	40.8407i	−0.125623	−	1.43588i	−0.753438	−	0.657519i	$-0.771606\pi$
$809$	−3.57309	−	40.8407i	−0.125623	−	1.43588i	0.627815	−	0.778363i	$-0.283949\pi$
$810$	−23.1507	−	13.3086i	−0.813434	−	0.467617i
$811$	4.30052	−	24.3895i	0.151012	−	0.856431i	−0.811330	−	0.584588i	$-0.801256\pi$
$811$	4.30052	−	24.3895i	0.151012	−	0.856431i	0.962342	−	0.271842i	$-0.0876329\pi$
$812$	4.22863	−	4.26028i	0.148396	−	0.149507i
$813$	3.89322			0.136541
$814$	34.1185	+	10.2051i	1.19585	+	0.357690i
$815$		−	36.5460i		−	1.28015i
$816$	−8.34898	+	5.93929i	−0.292273	+	0.207917i
$817$	23.7516	+	4.18804i	0.830962	+	0.146521i
$818$	−38.3354	−	22.0377i	−1.34036	−	0.770532i
$819$	−6.43877	+	0.563320i	−0.224989	+	0.0196840i
$820$	42.8140	−	30.2172i	1.49513	−	1.05523i
$821$	29.3133	−	34.9343i	1.02304	−	1.21921i	0.0476212	−	0.998865i	$-0.484836\pi$
$821$	29.3133	−	34.9343i	1.02304	−	1.21921i	0.975421	−	0.220349i	$-0.0707196\pi$
$822$	−39.4122	+	18.4677i	−1.37466	+	0.644136i
$823$	−11.4589	+	31.4831i	−0.399433	+	1.09743i	0.563129	+	0.826369i	$0.309597\pi$
$823$	−11.4589	+	31.4831i	−0.399433	+	1.09743i	−0.962562	+	0.271063i	$0.912625\pi$
$824$	−0.152734	−	27.3081i	−0.00532074	−	0.951321i
$825$	20.8665	−	12.0473i	0.726478	−	0.419432i
$826$	20.4552	−	24.4701i	0.711728	−	0.851423i
$827$	0.495267	−	1.06210i	0.0172221	−	0.0369329i	−0.897509	−	0.440997i	$-0.854625\pi$
$827$	0.495267	−	1.06210i	0.0172221	−	0.0369329i	0.914731	+	0.404064i	$0.132403\pi$
$828$	−2.95560	+	0.269690i	−0.102714	+	0.00937237i
$829$	0.697779	−	7.97565i	0.0242349	−	0.277006i	−0.974402	−	0.224812i	$-0.927823\pi$
$829$	0.697779	−	7.97565i	0.0242349	−	0.277006i	0.998637	−	0.0521936i	$-0.0166213\pi$
$830$	−59.2030	−	10.3253i	−2.05497	−	0.358397i
$831$	11.7437	+	25.1843i	0.407383	+	0.873635i
$832$	−37.0954	+	3.66398i	−1.28605	+	0.127026i
$833$	3.13665	+	4.47960i	0.108679	+	0.155209i
$834$	−1.99758	−	0.926957i	−0.0691705	−	0.0320979i
$835$	6.90257	+	8.22617i	0.238873	+	0.284678i
$836$	−30.6154	−	8.08113i	−1.05885	−	0.279492i
$837$	34.0403	−	9.12106i	1.17660	−	0.315270i
$838$	26.7770	−	7.22841i	0.924996	−	0.249701i
$839$	−1.46677	−	8.31846i	−0.0506385	−	0.287185i	0.948964	−	0.315385i	$-0.102134\pi$
$839$	−1.46677	−	8.31846i	−0.0506385	−	0.287185i	−0.999602	+	0.0281999i	$0.991023\pi$
$840$	12.2338	−	21.4660i	0.422107	−	0.740647i
$841$	−23.0467	−	13.3060i	−0.794715	−	0.458829i
$842$	31.0427	−	11.3642i	1.06980	−	0.391637i
$843$	−2.87877	+	10.7437i	−0.0991503	+	0.370034i
$844$	−30.8621	−	36.5027i	−1.06232	−	1.25648i
$845$	−18.3236	+	18.3236i	−0.630349	+	0.630349i
$846$	1.78985	−	1.79654i	0.0615364	−	0.0617663i
$847$	−4.07739	−	11.2025i	−0.140101	−	0.384924i
$848$	10.9684	+	6.22404i	0.376658	+	0.213734i
$849$	0.594358	+	0.416174i	0.0203983	+	0.0142830i
$850$	5.94210	+	7.05477i	0.203812	+	0.241977i
$851$	7.56358	−	10.1255i	0.259276	−	0.347097i
$852$	5.31395	+	0.916576i	0.182053	+	0.0314014i
$853$	−4.27059	−	2.99030i	−0.146222	−	0.102386i	0.498176	−	0.867076i	$-0.334003\pi$
$853$	−4.27059	−	2.99030i	−0.146222	−	0.102386i	−0.644398	+	0.764690i	$0.722892\pi$
$854$	−17.4953	+	10.1445i	−0.598677	+	0.347136i
$855$	7.63523	−	2.77900i	0.261119	−	0.0950397i
$856$	−28.7854	−	40.6243i	−0.983864	−	1.38851i
$857$	3.28939	−	3.28939i	0.112363	−	0.112363i	−0.648690	−	0.761053i	$-0.724683\pi$
$857$	3.28939	−	3.28939i	0.112363	−	0.112363i	0.761053	+	0.648690i	$0.224683\pi$
$858$	0.0768904	+	41.2432i	0.00262499	+	1.40802i
$859$	25.0356	+	6.70826i	0.854203	+	0.228883i	0.659245	−	0.751929i	$-0.270876\pi$
$859$	25.0356	+	6.70826i	0.854203	+	0.228883i	0.194958	+	0.980812i	$0.437543\pi$
$860$	−32.5642	−	18.6394i	−1.11043	−	0.635599i
$861$	−22.3984	−	12.9317i	−0.763337	−	0.440713i
$862$	18.0180	+	6.52000i	0.613696	+	0.222072i
$863$	−28.4157	+	5.01046i	−0.967283	+	0.170558i	−0.634907	−	0.772589i	$-0.718962\pi$
$863$	−28.4157	+	5.01046i	−0.967283	+	0.170558i	−0.332376	+	0.943147i	$0.607850\pi$
$864$	2.47347	−	31.6693i	0.0841493	−	1.07741i
$865$	64.7026	−	17.3370i	2.19995	−	0.589476i
$866$	−20.7906	+	14.6156i	−0.706492	+	0.496657i
$867$	16.3644	−	13.7314i	0.555766	−	0.466343i
$868$	6.39720	+	23.5235i	0.217135	+	0.798439i
$869$	−25.5393	−	36.4739i	−0.866361	−	1.23729i
$870$	9.49874	+	2.52621i	0.322038	+	0.0856465i
$871$	9.91982	−	4.62569i	0.336120	−	0.156735i
$872$	−21.2315	−	7.59344i	−0.718991	−	0.257146i
$873$	−0.881777	+	10.0788i	−0.0298436	+	0.341114i
$874$	−6.42833	+	9.21713i	−0.217442	+	0.311774i
$875$	6.02388	+	2.80898i	0.203644	+	0.0949610i
$876$	−0.118943	−	31.8998i	−0.00401871	−	1.07779i
$877$	−0.0144436	+	0.00833899i	−0.000487724	+	0.000281588i	−0.500244	−	0.865885i	$-0.666756\pi$
$877$	−0.0144436	+	0.00833899i	−0.000487724	+	0.000281588i	0.499756	+	0.866166i	$0.333423\pi$
$878$	−9.30684	−	52.2123i	−0.314091	−	1.76208i
$879$	25.0529	+	9.11852i	0.845015	+	0.307560i
$880$	40.5618	+	27.9532i	1.36734	+	0.942304i
$881$	31.9909	−	38.1253i	1.07780	−	1.28447i	0.121341	−	0.992611i	$-0.461281\pi$
$881$	31.9909	−	38.1253i	1.07780	−	1.28447i	0.956460	−	0.291862i	$-0.0942750\pi$
$882$	−3.24824	−	0.278083i	−0.109374	−	0.00936355i
$883$	1.38557	+	15.8372i	0.0466283	+	0.532963i	0.983205	+	0.182502i	$0.0584196\pi$
$883$	1.38557	+	15.8372i	0.0466283	+	0.532963i	−0.936577	+	0.350461i	$0.886025\pi$
$884$	−15.5384	+	2.79962i	−0.522614	+	0.0941615i
$885$	51.4305	+	9.06859i	1.72882	+	0.304837i
$886$	26.2106	−	2.34238i	0.880563	−	0.0786937i
$887$	23.8403			0.800479			0.400240	−	0.916411i	$-0.368927\pi$
$887$	23.8403			0.800479			0.400240	+	0.916411i	$0.368927\pi$
$888$	17.9253	+	18.8489i	0.601533	+	0.632528i
$889$	−4.60668			−0.154503
$890$	35.0613	−	3.13334i	1.17526	−	0.105030i
$891$	−25.8775	−	4.56290i	−0.866929	−	0.152863i
$892$	2.37869	+	13.2022i	0.0796443	+	0.442041i
$893$	−0.836872	−	9.56549i	−0.0280048	−	0.320097i
$894$	8.93223	+	0.764692i	0.298738	+	0.0255751i
$895$	−14.1024	+	16.8066i	−0.471392	+	0.561783i
$896$	21.9133	+	1.62932i	0.732073	+	0.0544317i
$897$	13.7544	+	5.00617i	0.459244	+	0.167151i
$898$	−3.19011	−	17.8968i	−0.106455	−	0.597225i
$899$	−8.39856	+	4.84891i	−0.280108	+	0.161720i
$900$	−5.49877	+	0.0205030i	−0.183292	+	0.000683432i
$901$	4.84119	+	2.25748i	0.161283	+	0.0752077i
$902$	29.4982	−	42.2954i	0.982184	−	1.40828i
$903$	−1.61400	+	18.4481i	−0.0537104	+	0.613913i
$904$	25.6540	+	9.17515i	0.853241	+	0.305161i
$905$	−67.8536	+	31.6406i	−2.25553	+	1.05177i
$906$	23.4339	+	6.23228i	0.778538	+	0.207054i
$907$	12.1547	+	17.3587i	0.403590	+	0.576386i	0.968577	−	0.248714i	$-0.0800078\pi$
$907$	12.1547	+	17.3587i	0.403590	+	0.576386i	−0.564987	+	0.825100i	$0.691119\pi$
$908$	0.238298	−	0.0648050i	0.00790819	−	0.00215063i
$909$	9.15214	−	7.67956i	0.303557	−	0.254715i
$910$	31.1468	−	21.8959i	1.03251	−	0.725841i
$911$	37.2254	−	9.97452i	1.23333	−	0.330471i	0.417457	−	0.908697i	$-0.362922\pi$
$911$	37.2254	−	9.97452i	1.23333	−	0.330471i	0.815877	+	0.578226i	$0.196255\pi$
$912$	−16.4753	−	16.2314i	−0.545551	−	0.537475i
$913$	−58.2378	+	10.2689i	−1.92739	+	0.339851i
$914$	30.2441	+	10.9441i	1.00038	+	0.361999i
$915$	−28.6785	−	16.5575i	−0.948082	−	0.547375i
$916$	−14.4556	+	25.2549i	−0.477627	+	0.834444i
$917$	−35.0579	−	9.39375i	−1.15772	−	0.310209i
$918$	−0.0250838	−	13.4547i	−0.000827889	−	0.444072i
$919$	19.7845	−	19.7845i	0.652630	−	0.652630i	−0.300995	−	0.953626i	$-0.597319\pi$
$919$	19.7845	−	19.7845i	0.652630	−	0.652630i	0.953626	+	0.300995i	$0.0973189\pi$
$920$	14.2645	−	10.1075i	0.470288	−	0.333234i
$921$	−17.2556	+	6.28052i	−0.568591	+	0.206950i
$922$	−39.9039	+	23.1379i	−1.31417	+	0.762005i
$923$	6.80671	+	4.76611i	0.224046	+	0.156879i
$924$	4.13252	−	23.9587i	0.135950	−	0.788185i
$925$	15.5953	−	17.4675i	0.512772	−	0.574326i
$926$	−18.7071	−	22.2100i	−0.614753	−	0.729867i
$927$	5.64855	+	3.95516i	0.185523	+	0.129904i
$928$	1.59812	+	8.59415i	0.0524609	+	0.282117i
$929$	6.77046	+	18.6017i	0.222132	+	0.610301i	0.999832	−	0.0183337i	$-0.00583613\pi$
$929$	6.77046	+	18.6017i	0.222132	+	0.610301i	−0.777700	+	0.628635i	$0.783614\pi$
$930$	−28.1731	+	28.2784i	−0.923833	+	0.927284i
$931$	−8.72848	+	8.72848i	−0.286064	+	0.286064i
$932$	31.8604	−	26.9372i	1.04362	−	0.882356i
$933$	1.73918	−	6.49073i	0.0569383	−	0.212497i
$934$	−30.6503	+	11.2205i	−1.00291	+	0.367147i
$935$	18.0696	+	10.4325i	0.590940	+	0.341180i
$936$	4.66057	−	8.17763i	0.152335	−	0.267294i
$937$	−5.62211	−	31.8846i	−0.183666	−	1.04162i	−0.927657	−	0.373434i	$-0.878180\pi$
$937$	−5.62211	−	31.8846i	−0.183666	−	1.04162i	0.743991	−	0.668190i	$-0.232931\pi$
$938$	−6.22918	+	1.68156i	−0.203390	+	0.0549048i
$939$	21.6116	−	5.79080i	0.705266	−	0.188976i
$940$	−3.81249	+	14.4436i	−0.124350	+	0.471099i
$941$	−20.6185	−	24.5721i	−0.672143	−	0.801029i	0.316931	−	0.948449i	$-0.397348\pi$
$941$	−20.6185	−	24.5721i	−0.672143	−	0.801029i	−0.989074	+	0.147420i	$0.952903\pi$
$942$	30.4087	+	14.1109i	0.990769	+	0.459757i
$943$	−10.4968	−	14.9909i	−0.341822	−	0.488172i
$944$	12.3553	+	44.7724i	0.402131	+	1.45722i
$945$	13.7118	+	29.4051i	0.446046	+	0.956549i
$946$	−36.3727	−	6.34360i	−1.18258	−	0.206248i
$947$	0.348371	−	3.98190i	0.0113205	−	0.129394i	−0.988431	−	0.151669i	$-0.951535\pi$
$947$	0.348371	−	3.98190i	0.0113205	−	0.129394i	0.999752	+	0.0222746i	$0.00709080\pi$
$948$	−2.95532	−	32.3881i	−0.0959844	−	1.05192i
$949$	20.7744	−	44.5509i	0.674366	−	1.44618i
$950$	−13.3533	+	15.9742i	−0.433238	+	0.518273i
$951$	−34.9881	+	20.2004i	−1.13457	+	0.655043i
$952$	9.30710	−	0.0520546i	0.301645	−	0.00168710i
$953$	−2.05260	+	5.63948i	−0.0664903	+	0.182681i	−0.968488	−	0.249060i	$-0.919878\pi$
$953$	−2.05260	+	5.63948i	−0.0664903	+	0.182681i	0.901998	+	0.431741i	$0.142101\pi$
$954$	−2.88358	+	1.35119i	−0.0933595	+	0.0437463i
$955$	9.91166	−	11.8123i	0.320734	−	0.382236i
$956$	20.9088	+	29.6252i	0.676240	+	0.958147i
$957$	9.63504	−	0.842957i	0.311457	−	0.0272489i
$958$	22.9840	+	13.2127i	0.742579	+	0.426884i
$959$	38.9360	+	6.86546i	1.25731	+	0.221697i
$960$	15.5700	+	32.4376i	0.502519	+	1.04692i
$961$		−	8.38485i		−	0.270479i
$962$	12.6172	+	38.0449i	0.406796	+	1.22662i
$963$	12.5721			0.405129
$964$	−11.0580	−	10.9759i	−0.356155	−	0.353509i
$965$	2.06551	−	11.7141i	0.0664911	−	0.377090i
$966$	−7.48046	−	4.30027i	−0.240680	−	0.138359i
$967$	4.09878	+	46.8493i	0.131808	+	1.50657i	0.717797	+	0.696253i	$0.245151\pi$
$967$	4.09878	+	46.8493i	0.131808	+	1.50657i	−0.585989	+	0.810319i	$0.699294\pi$
$968$	16.7943	+	4.39950i	0.539790	+	0.141405i
$969$	−7.50417	−	6.29675i	−0.241069	−	0.202281i
$970$	−25.2872	−	53.9657i	−0.811923	−	1.73273i
$971$	−4.64773	−	1.69164i	−0.149153	−	0.0542872i	0.266365	−	0.963872i	$-0.414177\pi$
$971$	−4.64773	−	1.69164i	−0.149153	−	0.0542872i	−0.415518	+	0.909585i	$0.636400\pi$
$972$	11.1422	+	9.27884i	0.357386	+	0.297619i
$973$	1.00020	+	1.73240i	0.0320650	+	0.0555383i
$974$	−15.6353	+	18.7041i	−0.500988	+	0.599319i
$975$	24.5783	+	11.4611i	0.787137	+	0.367048i
$976$	2.34799	−	29.3575i	0.0751573	−	0.939711i
$977$	−12.4414	−	1.08848i	−0.398035	−	0.0348235i	−0.113618	−	0.993524i	$-0.536244\pi$
$977$	−12.4414	−	1.08848i	−0.398035	−	0.0348235i	−0.284416	+	0.958701i	$0.591800\pi$
$978$	4.51300	−	25.8765i	0.144310	−	0.827439i
$979$	31.3931	−	14.6388i	1.00333	−	0.467859i
$980$	17.3744	−	8.18081i	0.555004	−	0.261326i
$981$	4.66400	−	3.26577i	0.148910	−	0.104268i
$982$	3.20082	+	1.48531i	0.102142	+	0.0473980i
$983$	27.3319	−	22.9342i	0.871753	−	0.731487i	−0.0927139	−	0.995693i	$-0.529554\pi$
$983$	27.3319	−	22.9342i	0.871753	−	0.731487i	0.964466	+	0.264206i	$0.0851097\pi$
$984$	34.0460	−	16.1084i	1.08535	−	0.513516i
$985$	15.7702	+	58.8551i	0.502480	+	1.87528i
$986$	0.964955	+	3.57459i	0.0307304	+	0.113838i
$987$	7.26072	−	1.28026i	0.231111	−	0.0407512i
$988$	−12.3140	−	33.4438i	−0.391759	−	1.06399i
$989$	−6.55169	+	11.3479i	−0.208332	+	0.360841i
$990$	−11.6807	+	4.27610i	−0.371236	+	0.135903i
$991$	−43.9788	−	11.7841i	−1.39703	−	0.374334i	−0.519755	−	0.854315i	$-0.673977\pi$
$991$	−43.9788	−	11.7841i	−1.39703	−	0.374334i	−0.877279	+	0.479981i	$0.840643\pi$
$992$	−33.4717	−	11.8305i	−1.06273	−	0.375620i
$993$	30.8078	+	30.8078i	0.977654	+	0.977654i
$994$	−3.47011	−	3.45719i	−0.110065	−	0.109655i
$995$	−52.2202	+	19.0066i	−1.65549	+	0.602549i
$996$	−40.6437	−	14.6217i	−1.28785	−	0.463307i
$997$	−34.7967	+	49.6948i	−1.10202	+	1.57385i	−0.323507	+	0.946226i	$0.604862\pi$
$997$	−34.7967	+	49.6948i	−1.10202	+	1.57385i	−0.778515	+	0.627625i	$0.784027\pi$
$998$	−27.6694	−	32.8506i	−0.875861	−	1.03987i
$999$	−33.8047	+	4.89591i	−1.06953	+	0.154900i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	296.2.bj.a.131.18	✓	432
8.3	odd	2	inner	296.2.bj.a.131.34	yes	432
37.13	odd	36	inner	296.2.bj.a.235.34	yes	432
296.235	even	36	inner	296.2.bj.a.235.18	yes	432

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
296.2.bj.a.131.18	✓	432	1.1	even	1	trivial
296.2.bj.a.131.34	yes	432	8.3	odd	2	inner
296.2.bj.a.235.18	yes	432	296.235	even	36	inner
296.2.bj.a.235.34	yes	432	37.13	odd	36	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 296 = 2^{3} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	296.bj (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.125883 - 1.40860i) q^{2} +(-1.48892 - 0.262536i) q^{3} +(-1.96831 + 0.354638i) q^{4} +(0.259274 + 2.96351i) q^{5} +(-0.182379 + 2.13034i) q^{6} +(1.24844 - 1.48783i) q^{7} +(0.747319 + 2.72791i) q^{8} +(-0.671128 - 0.244271i) q^{9} +(4.14176 - 0.738269i) q^{10} +(3.58518 - 2.06991i) q^{11} +(3.02375 - 0.0112745i) q^{12} +(4.22294 + 1.96919i) q^{13} +(-2.25292 - 1.57126i) q^{14} +(0.391992 - 4.48049i) q^{15} +(3.74846 - 1.39607i) q^{16} +(1.53551 - 0.716018i) q^{17} +(-0.259596 + 0.976101i) q^{18} +(2.19354 + 3.13270i) q^{19} +(-1.56130 - 5.74115i) q^{20} +(-2.24944 + 1.88750i) q^{21} +(-3.36698 - 4.78952i) q^{22} +(-2.00697 + 0.537765i) q^{23} +(-0.396521 - 4.25784i) q^{24} +(-3.79114 + 0.668481i) q^{25} +(2.24220 - 6.19631i) q^{26} +(4.86312 + 2.80772i) q^{27} +(-1.92967 + 3.37126i) q^{28} +(-1.49263 - 0.399950i) q^{29} +(-6.36057 + 0.0118581i) q^{30} +(4.43761 - 4.43761i) q^{31} +(-2.43838 - 5.10434i) q^{32} +(-5.88147 + 2.14068i) q^{33} +(-1.20188 - 2.07278i) q^{34} +(4.73290 + 3.31401i) q^{35} +(1.40761 + 0.242792i) q^{36} +(-4.77750 + 3.76503i) q^{37} +(4.13659 - 3.48417i) q^{38} +(-5.77062 - 4.04063i) q^{39} +(-7.89045 + 2.92197i) q^{40} +(3.01245 + 8.27663i) q^{41} +(2.94190 + 2.93095i) q^{42} +(4.45935 - 4.45935i) q^{43} +(-6.32267 + 5.34565i) q^{44} +(0.549893 - 2.05223i) q^{45} +(1.01014 + 2.75932i) q^{46} +(-2.17440 - 1.25539i) q^{47} +(-5.94767 + 1.09453i) q^{48} +(0.560492 + 3.17871i) q^{49} +(1.41886 + 5.25605i) q^{50} +(-2.47422 + 0.662966i) q^{51} +(-9.01038 - 2.37835i) q^{52} +(2.02660 + 2.41521i) q^{53} +(3.34277 - 7.20364i) q^{54} +(7.06374 + 10.0881i) q^{55} +(4.99167 + 2.29375i) q^{56} +(-2.44355 - 5.24021i) q^{57} +(-0.375472 + 2.15287i) q^{58} +(-1.01201 + 11.5673i) q^{59} +(0.817391 + 8.95800i) q^{60} +(3.11166 - 6.67298i) q^{61} +(-6.80944 - 5.69220i) q^{62} +(-1.20130 + 0.693570i) q^{63} +(-6.88303 + 4.07725i) q^{64} +(-4.74081 + 13.0253i) q^{65} +(3.75574 + 8.01516i) q^{66} +(1.50993 - 1.79946i) q^{67} +(-2.76842 + 1.95389i) q^{68} +(3.12939 - 0.273786i) q^{69} +(4.07233 - 7.08394i) q^{70} +(1.75625 + 0.309674i) q^{71} +(0.164802 - 2.01333i) q^{72} -10.5497i q^{73} +(5.90483 + 6.25563i) q^{74} +5.82020 q^{75} +(-5.42853 - 5.38820i) q^{76} +(1.39621 - 7.91831i) q^{77} +(-4.96521 + 8.63714i) q^{78} +(-0.937417 - 10.7147i) q^{79} +(5.10916 + 10.7467i) q^{80} +(-4.86233 - 4.07998i) q^{81} +(11.2792 - 5.28522i) q^{82} +(-13.4233 - 4.88567i) q^{83} +(3.75820 - 4.51291i) q^{84} +(2.52004 + 4.36484i) q^{85} +(-6.84280 - 5.72009i) q^{86} +(2.11741 + 0.987363i) q^{87} +(8.32580 + 8.23319i) q^{88} +(8.33531 + 0.729245i) q^{89} +(-2.95999 - 0.516239i) q^{90} +(8.20191 - 3.82461i) q^{91} +(3.75961 - 1.77023i) q^{92} +(-7.77228 + 5.44221i) q^{93} +(-1.49462 + 3.22089i) q^{94} +(-8.71507 + 7.31281i) q^{95} +(2.29046 + 8.24011i) q^{96} +(-3.66639 - 13.6832i) q^{97} +(4.40697 - 1.18966i) q^{98} +(-2.91174 + 0.513417i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 432 q - 12 q^{2} - 24 q^{3} - 18 q^{4} - 12 q^{6} - 6 q^{8} - 24 q^{9} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{14} + 18 q^{16} - 24 q^{17} - 42 q^{18} - 24 q^{19} - 12 q^{20} - 24 q^{22} - 84 q^{24}+ \cdots - 132 q^{99}+O(q^{100}) \) 432 * q - 12 * q^2 - 24 * q^3 - 18 * q^4 - 12 * q^6 - 6 * q^8 - 24 * q^9 - 6 * q^10 - 36 * q^11 - 12 * q^12 - 12 * q^14 + 18 * q^16 - 24 * q^17 - 42 * q^18 - 24 * q^19 - 12 * q^20 - 24 * q^22 - 84 * q^24 - 12 * q^25 - 6 * q^26 - 36 * q^27 - 12 * q^28 - 36 * q^30 - 42 * q^32 - 60 * q^33 - 12 * q^34 - 24 * q^35 + 60 * q^38 - 12 * q^40 - 24 * q^41 - 12 * q^42 - 6 * q^44 + 48 * q^46 - 18 * q^48 + 24 * q^49 - 42 * q^50 + 96 * q^51 - 42 * q^52 - 72 * q^54 - 12 * q^56 - 24 * q^57 + 48 * q^58 - 24 * q^59 + 144 * q^60 - 72 * q^62 + 108 * q^64 - 84 * q^65 - 168 * q^66 - 24 * q^67 - 18 * q^68 - 186 * q^70 + 234 * q^72 - 150 * q^74 - 48 * q^75 + 42 * q^76 - 222 * q^78 + 120 * q^80 - 60 * q^81 - 24 * q^82 - 24 * q^83 + 126 * q^84 - 54 * q^86 - 24 * q^89 + 72 * q^90 - 24 * q^91 + 114 * q^92 - 24 * q^94 + 72 * q^96 - 24 * q^97 - 114 * q^98 - 132 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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