LMFDB - Embedded newform 184.2.p.a.13.4

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [184,2,Mod(13,184)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("184.13"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(184, base_ring=CyclotomicField(22)) chi = DirichletCharacter(H, H._module([0, 11, 14])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 184 = 2^{3} \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	184.p (of order $22$, degree $10$, 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:	$1.46924739719$
Analytic rank:	$0$
Dimension:	$220$
Relative dimension:	$22$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			13.4
Character	$\chi$	$=$	184.13
Dual form			184.2.p.a.85.4

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.15854 - 0.811046i) q^{2} +(-0.429687 + 0.668606i) q^{3} +(0.684409 + 1.87925i) q^{4} +(-2.58320 - 1.17971i) q^{5} +(1.04008 - 0.426108i) q^{6} +(2.06173 + 0.605378i) q^{7} +(0.731246 - 2.73227i) q^{8} +(0.983842 + 2.15431i) q^{9} +(2.03593 + 3.46182i) q^{10} +(2.13651 + 1.85129i) q^{11} +(-1.55056 - 0.349890i) q^{12} +(1.17842 + 4.01335i) q^{13} +(-1.89760 - 2.37351i) q^{14} +(1.89873 - 1.22024i) q^{15} +(-3.06317 + 2.57235i) q^{16} +(0.630777 + 4.38715i) q^{17} +(0.607431 - 3.29379i) q^{18} +(3.05281 + 0.438928i) q^{19} +(0.449000 - 5.66188i) q^{20} +(-1.29066 + 1.11836i) q^{21} +(-0.973736 - 3.87760i) q^{22} +(-1.94823 - 4.38228i) q^{23} +(1.51260 + 1.66294i) q^{24} +(2.00690 + 2.31608i) q^{25} +(1.88976 - 5.60536i) q^{26} +(-4.22318 - 0.607202i) q^{27} +(0.273409 + 4.28883i) q^{28} +(4.22928 - 0.608079i) q^{29} +(-3.18941 - 0.126266i) q^{30} +(3.66071 - 2.35260i) q^{31} +(5.63509 - 0.495794i) q^{32} +(-2.15582 + 0.633005i) q^{33} +(2.82740 - 5.59426i) q^{34} +(-4.61169 - 3.99605i) q^{35} +(-3.37514 + 3.32332i) q^{36} +(-8.66816 + 3.95862i) q^{37} +(-3.18080 - 2.98448i) q^{38} +(-3.18970 - 0.936581i) q^{39} +(-5.11223 + 6.19533i) q^{40} +(-3.31356 + 7.25568i) q^{41} +(2.40232 - 0.248879i) q^{42} +(3.54246 - 5.51218i) q^{43} +(-2.01680 + 5.28208i) q^{44} -6.72566i q^{45} +(-1.29714 + 6.65713i) q^{46} -5.64784 q^{47} +(-0.403688 - 3.15336i) q^{48} +(-2.00453 - 1.28823i) q^{49} +(-0.446613 - 4.31095i) q^{50} +(-3.20431 - 1.46336i) q^{51} +(-6.73556 + 4.96133i) q^{52} +(2.75268 - 9.37475i) q^{53} +(4.40024 + 4.12866i) q^{54} +(-3.33504 - 7.30271i) q^{55} +(3.16169 - 5.19051i) q^{56} +(-1.60522 + 1.85253i) q^{57} +(-5.39296 - 2.72566i) q^{58} +(3.64653 + 12.4190i) q^{59} +(3.59264 + 2.73304i) q^{60} +(2.01178 + 3.13039i) q^{61} +(-6.14913 - 0.243438i) q^{62} +(0.724241 + 5.03721i) q^{63} +(-6.93056 - 3.99592i) q^{64} +(1.69047 - 11.7575i) q^{65} +(3.01099 + 1.01511i) q^{66} +(4.28160 - 3.71003i) q^{67} +(-7.81285 + 4.18800i) q^{68} +(3.76715 + 0.580412i) q^{69} +(2.10182 + 8.36985i) q^{70} +(-0.340079 - 0.392472i) q^{71} +(6.60559 - 1.11279i) q^{72} +(0.0139686 - 0.0971537i) q^{73} +(13.2530 + 2.44408i) q^{74} +(-2.41089 + 0.346633i) q^{75} +(1.26452 + 6.03740i) q^{76} +(3.28417 + 5.11026i) q^{77} +(2.93577 + 3.67206i) q^{78} +(8.65006 - 2.53989i) q^{79} +(10.9474 - 3.03126i) q^{80} +(-2.43216 + 2.80686i) q^{81} +(9.72357 - 5.71852i) q^{82} +(9.89319 - 4.51807i) q^{83} +(-2.98502 - 1.66005i) q^{84} +(3.54613 - 12.0770i) q^{85} +(-8.57470 + 3.51296i) q^{86} +(-1.41070 + 3.08901i) q^{87} +(6.62054 - 4.48376i) q^{88} +(2.46557 + 1.58452i) q^{89} +(-5.45482 + 7.79192i) q^{90} +8.98783i q^{91} +(6.90202 - 6.66049i) q^{92} +3.45845i q^{93} +(6.54323 + 4.58066i) q^{94} +(-7.36820 - 4.73526i) q^{95} +(-2.08983 + 3.98069i) q^{96} +(2.85388 - 6.24913i) q^{97} +(1.27750 + 3.11823i) q^{98} +(-1.88628 + 6.42409i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 220 q - 11 q^{2} - 11 q^{4} - 14 q^{6} - 22 q^{7} - 14 q^{8} - 9 q^{10} - 12 q^{12} - 3 q^{14} - 22 q^{15} + 5 q^{16} - 18 q^{17} - 4 q^{18} - 27 q^{20} - 42 q^{22} - 16 q^{23} - 22 q^{24} - 4 q^{25} - 16 q^{26}+ \cdots + 109 q^{98}+O(q^{100}) $ 220 * q - 11 * q^2 - 11 * q^4 - 14 * q^6 - 22 * q^7 - 14 * q^8 - 9 * q^10 - 12 * q^12 - 3 * q^14 - 22 * q^15 + 5 * q^16 - 18 * q^17 - 4 * q^18 - 27 * q^20 - 42 * q^22 - 16 * q^23 - 22 * q^24 - 4 * q^25 - 16 * q^26 - 17 * q^28 - 37 * q^30 - 34 * q^31 - 11 * q^32 - 30 * q^33 - 23 * q^34 + 37 * q^36 - 78 * q^38 - 18 * q^39 + 99 * q^40 - 18 * q^41 - 77 * q^42 + 48 * q^44 - 99 * q^46 - 40 * q^47 + 116 * q^48 - 28 * q^49 - 60 * q^50 + 98 * q^52 - 114 * q^54 - 38 * q^55 + 66 * q^56 - 30 * q^57 - 51 * q^58 - 45 * q^60 + 18 * q^62 + 18 * q^63 - 14 * q^64 - 38 * q^65 - 12 * q^66 + 10 * q^68 - 38 * q^70 - 26 * q^71 + 55 * q^72 - 18 * q^73 + 10 * q^74 + 72 * q^76 + 42 * q^78 - 22 * q^79 + 66 * q^80 - 52 * q^81 + 64 * q^82 + 125 * q^84 + 121 * q^86 - 42 * q^87 + 17 * q^88 - 2 * q^89 + 204 * q^90 + 88 * q^92 + 105 * q^94 - 78 * q^95 + 157 * q^96 - 18 * q^97 + 109 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/184\mathbb{Z}\right)^\times$.

$n$	$47$	$93$	$97$
$\chi(n)$	$1$	$-1$	$e\left(\frac{7}{11}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.15854	−	0.811046i	−0.819208	−	0.573496i
$2$	−1.15854	−	0.811046i	−0.819208	−	0.573496i
$3$	−0.429687	+	0.668606i	−0.248080	+	0.386020i	−0.942853	−	0.333209i	$-0.891868\pi$
$3$	−0.429687	+	0.668606i	−0.248080	+	0.386020i	0.694773	+	0.719229i	$0.255505\pi$
$4$	0.684409	+	1.87925i	0.342205	+	0.939625i
$5$	−2.58320	−	1.17971i	−1.15524	−	0.527581i	−0.256709	−	0.966489i	$-0.582638\pi$
$5$	−2.58320	−	1.17971i	−1.15524	−	0.527581i	−0.898532	+	0.438908i	$0.855365\pi$
$6$	1.04008	−	0.426108i	0.424610	−	0.173958i
$7$	2.06173	+	0.605378i	0.779261	+	0.228812i	0.647088	−	0.762415i	$-0.275987\pi$
$7$	2.06173	+	0.605378i	0.779261	+	0.228812i	0.132172	+	0.991227i	$0.457805\pi$
$8$	0.731246	−	2.73227i	0.258534	−	0.966002i
$9$	0.983842	+	2.15431i	0.327947	+	0.718104i
$10$	2.03593	+	3.46182i	0.643818	+	1.09472i
$11$	2.13651	+	1.85129i	0.644181	+	0.558186i	0.914501	−	0.404584i	$-0.132584\pi$
$11$	2.13651	+	1.85129i	0.644181	+	0.558186i	−0.270319	+	0.962771i	$0.587129\pi$
$12$	−1.55056	−	0.349890i	−0.447608	−	0.101004i
$13$	1.17842	+	4.01335i	0.326836	+	1.11310i	0.945005	+	0.327056i	$0.106057\pi$
$13$	1.17842	+	4.01335i	0.326836	+	1.11310i	−0.618169	+	0.786045i	$0.712125\pi$
$14$	−1.89760	−	2.37351i	−0.507154	−	0.634347i
$15$	1.89873	−	1.22024i	0.490249	−	0.315064i
$16$	−3.06317	+	2.57235i	−0.765792	+	0.643088i
$17$	0.630777	+	4.38715i	0.152986	+	1.06404i	0.911179	+	0.412011i	$0.135173\pi$
$17$	0.630777	+	4.38715i	0.152986	+	1.06404i	−0.758193	+	0.652030i	$0.773918\pi$
$18$	0.607431	−	3.29379i	0.143173	−	0.776354i
$19$	3.05281	+	0.438928i	0.700362	+	0.100697i	0.483292	−	0.875459i	$-0.339441\pi$
$19$	3.05281	+	0.438928i	0.700362	+	0.100697i	0.217070	+	0.976156i	$0.430350\pi$
$20$	0.449000	−	5.66188i	0.100400	−	1.26603i
$21$	−1.29066	+	1.11836i	−0.281645	+	0.244047i
$22$	−0.973736	−	3.87760i	−0.207601	−	0.826706i
$23$	−1.94823	−	4.38228i	−0.406234	−	0.913769i
$23$	−1.94823	−	4.38228i	−0.406234	−	0.913769i
$24$	1.51260	+	1.66294i	0.308759	+	0.339445i
$25$	2.00690	+	2.31608i	0.401380	+	0.463217i
$26$	1.88976	−	5.60536i	0.370612	−	1.09930i
$27$	−4.22318	−	0.607202i	−0.812752	−	0.116856i
$28$	0.273409	+	4.28883i	0.0516695	+	0.810513i
$29$	4.22928	−	0.608079i	0.785358	−	0.112918i	0.262043	−	0.965056i	$-0.415604\pi$
$29$	4.22928	−	0.608079i	0.785358	−	0.112918i	0.523316	+	0.852139i	$0.324695\pi$
$30$	−3.18941	−	0.126266i	−0.582304	−	0.0230528i
$31$	3.66071	−	2.35260i	0.657483	−	0.422539i	−0.168911	−	0.985631i	$-0.554025\pi$
$31$	3.66071	−	2.35260i	0.657483	−	0.422539i	0.826394	+	0.563093i	$0.190389\pi$
$32$	5.63509	−	0.495794i	0.996152	−	0.0876449i
$33$	−2.15582	+	0.633005i	−0.375280	+	0.110192i
$34$	2.82740	−	5.59426i	0.484896	−	0.959408i
$35$	−4.61169	−	3.99605i	−0.779517	−	0.675455i
$36$	−3.37514	+	3.32332i	−0.562524	+	0.553886i
$37$	−8.66816	+	3.95862i	−1.42504	+	0.650792i	−0.970756	−	0.240067i	$-0.922831\pi$
$37$	−8.66816	+	3.95862i	−1.42504	+	0.650792i	−0.454280	+	0.890859i	$0.650103\pi$
$38$	−3.18080	−	2.98448i	−0.515994	−	0.484147i
$39$	−3.18970	−	0.936581i	−0.510761	−	0.149973i
$40$	−5.11223	+	6.19533i	−0.808314	+	0.979567i
$41$	−3.31356	+	7.25568i	−0.517491	+	1.13315i	0.452890	+	0.891567i	$0.350393\pi$
$41$	−3.31356	+	7.25568i	−0.517491	+	1.13315i	−0.970381	+	0.241581i	$0.922334\pi$
$42$	2.40232	−	0.248879i	0.370685	−	0.0384029i
$43$	3.54246	−	5.51218i	0.540220	−	0.840599i	−0.458625	−	0.888630i	$-0.651658\pi$
$43$	3.54246	−	5.51218i	0.540220	−	0.840599i	0.998846	+	0.0480303i	$0.0152944\pi$
$44$	−2.01680	+	5.28208i	−0.304044	+	0.796303i
$45$		−	6.72566i		−	1.00260i
$46$	−1.29714	+	6.65713i	−0.191253	+	0.981541i
$47$	−5.64784			−0.823822			−0.411911	−	0.911224i	$-0.635139\pi$
$47$	−5.64784			−0.823822			−0.411911	+	0.911224i	$0.635139\pi$
$48$	−0.403688	−	3.15336i	−0.0582674	−	0.455148i
$49$	−2.00453	−	1.28823i	−0.286361	−	0.184033i
$50$	−0.446613	−	4.31095i	−0.0631606	−	0.609661i
$51$	−3.20431	−	1.46336i	−0.448694	−	0.204912i
$52$	−6.73556	+	4.96133i	−0.934054	+	0.688012i
$53$	2.75268	−	9.37475i	0.378109	−	1.28772i	−0.522332	−	0.852742i	$-0.674938\pi$
$53$	2.75268	−	9.37475i	0.378109	−	1.28772i	0.900441	−	0.434979i	$-0.143244\pi$
$54$	4.40024	+	4.12866i	0.598797	+	0.561840i
$55$	−3.33504	−	7.30271i	−0.449696	−	0.984697i
$56$	3.16169	−	5.19051i	0.422498	−	0.693612i
$57$	−1.60522	+	1.85253i	−0.212617	+	0.245373i
$58$	−5.39296	−	2.72566i	−0.708130	−	0.357897i
$59$	3.64653	+	12.4190i	0.474738	+	1.61681i	0.754194	+	0.656651i	$0.228028\pi$
$59$	3.64653	+	12.4190i	0.474738	+	1.61681i	−0.279456	+	0.960158i	$0.590154\pi$
$60$	3.59264	+	2.73304i	0.463808	+	0.352834i
$61$	2.01178	+	3.13039i	0.257582	+	0.400806i	0.945826	−	0.324674i	$-0.105254\pi$
$61$	2.01178	+	3.13039i	0.257582	+	0.400806i	−0.688244	+	0.725479i	$0.741618\pi$
$62$	−6.14913	−	0.243438i	−0.780940	−	0.0309167i
$63$	0.724241	+	5.03721i	0.0912458	+	0.634629i
$64$	−6.93056	−	3.99592i	−0.866320	−	0.499490i
$65$	1.69047	−	11.7575i	0.209677	−	1.45833i
$66$	3.01099	+	1.01511i	0.370627	+	0.124951i
$67$	4.28160	−	3.71003i	0.523080	−	0.453252i	−0.352856	−	0.935677i	$-0.614790\pi$
$67$	4.28160	−	3.71003i	0.523080	−	0.453252i	0.875937	+	0.482426i	$0.160244\pi$
$68$	−7.81285	+	4.18800i	−0.947447	+	0.507869i
$69$	3.76715	+	0.580412i	0.453512	+	0.0698734i
$70$	2.10182	+	8.36985i	0.251216	+	1.00039i
$71$	−0.340079	−	0.392472i	−0.0403599	−	0.0465778i	0.735211	−	0.677839i	$-0.237083\pi$
$71$	−0.340079	−	0.392472i	−0.0403599	−	0.0465778i	−0.775571	+	0.631261i	$0.782538\pi$
$72$	6.60559	−	1.11279i	0.778476	−	0.131143i
$73$	0.0139686	−	0.0971537i	0.00163490	−	0.0113710i	−0.988988	−	0.147998i	$-0.952717\pi$
$73$	0.0139686	−	0.0971537i	0.00163490	−	0.0113710i	0.990623	+	0.136627i	$0.0436262\pi$
$74$	13.2530	+	2.44408i	1.54063	+	0.284118i
$75$	−2.41089	+	0.346633i	−0.278385	+	0.0400257i
$76$	1.26452	+	6.03740i	0.145050	+	0.692537i
$77$	3.28417	+	5.11026i	0.374266	+	0.582369i
$78$	2.93577	+	3.67206i	0.332411	+	0.415778i
$79$	8.65006	−	2.53989i	0.973208	−	0.285760i	0.243790	−	0.969828i	$-0.421609\pi$
$79$	8.65006	−	2.53989i	0.973208	−	0.285760i	0.729418	+	0.684069i	$0.239791\pi$
$80$	10.9474	−	3.03126i	1.22396	−	0.338905i
$81$	−2.43216	+	2.80686i	−0.270240	+	0.311874i
$82$	9.72357	−	5.71852i	1.07379	−	0.631505i
$83$	9.89319	−	4.51807i	1.08592	−	0.495922i	0.209665	−	0.977773i	$-0.432763\pi$
$83$	9.89319	−	4.51807i	1.08592	−	0.495922i	0.876253	+	0.481851i	$0.160035\pi$
$84$	−2.98502	−	1.66005i	−0.325693	−	0.181127i
$85$	3.54613	−	12.0770i	0.384632	−	1.30994i
$86$	−8.57470	+	3.51296i	−0.924633	+	0.378812i
$87$	−1.41070	+	3.08901i	−0.151243	+	0.331177i
$88$	6.62054	−	4.48376i	0.705752	−	0.477970i
$89$	2.46557	+	1.58452i	0.261350	+	0.167959i	0.664753	−	0.747063i	$-0.268537\pi$
$89$	2.46557	+	1.58452i	0.261350	+	0.167959i	−0.403404	+	0.915022i	$0.632173\pi$
$90$	−5.45482	+	7.79192i	−0.574988	+	0.821340i
$91$			8.98783i			0.942180i
$92$	6.90202	−	6.66049i	0.719585	−	0.694404i
$93$			3.45845i			0.358625i
$94$	6.54323	+	4.58066i	0.674882	+	0.472459i
$95$	−7.36820	−	4.73526i	−0.755962	−	0.485827i
$96$	−2.08983	+	3.98069i	−0.213293	+	0.406277i
$97$	2.85388	−	6.24913i	0.289768	−	0.634503i	−0.707631	−	0.706582i	$-0.750236\pi$
$97$	2.85388	−	6.24913i	0.289768	−	0.634503i	0.997399	+	0.0720791i	$0.0229634\pi$
$98$	1.27750	+	3.11823i	0.129047	+	0.314989i
$99$	−1.88628	+	6.42409i	−0.189578	+	0.645645i
$100$	−2.97896	+	5.35661i	−0.297896	+	0.535661i
$101$	−2.73717	+	1.25002i	−0.272359	+	0.124382i	−0.546913	−	0.837190i	$-0.684197\pi$
$101$	−2.73717	+	1.25002i	−0.272359	+	0.124382i	0.274554	+	0.961572i	$0.411470\pi$
$102$	2.52546	+	4.29420i	0.250058	+	0.425189i
$103$	3.17412	−	3.66313i	0.312755	−	0.360939i	−0.577508	−	0.816385i	$-0.695975\pi$
$103$	3.17412	−	3.66313i	0.312755	−	0.360939i	0.890263	+	0.455446i	$0.150520\pi$
$104$	11.8272	−	0.285028i	1.15976	−	0.0279493i
$105$	4.65337	−	1.36635i	0.454122	−	0.133342i
$106$	−10.7924	+	8.62844i	−1.04825	+	0.838068i
$107$	−5.79860	−	9.02280i	−0.560572	−	0.872267i	0.439085	−	0.898446i	$-0.355303\pi$
$107$	−5.79860	−	9.02280i	−0.560572	−	0.872267i	−0.999657	+	0.0261781i	$0.991666\pi$
$108$	−1.74930	−	8.35200i	−0.168327	−	0.803671i
$109$	−10.2262	+	1.47031i	−0.979496	+	0.140830i	−0.613422	−	0.789755i	$-0.710208\pi$
$109$	−10.2262	+	1.47031i	−0.979496	+	0.140830i	−0.366074	+	0.930586i	$0.619298\pi$
$110$	−2.05907	+	11.1653i	−0.196325	+	1.06457i
$111$	1.07784	−	7.49655i	0.102304	−	0.711541i
$112$	−7.87267	+	3.44912i	−0.743897	+	0.325911i
$113$	−12.5060	−	14.4327i	−1.17646	−	1.35771i	−0.920366	−	0.391059i	$-0.872109\pi$
$113$	−12.5060	−	14.4327i	−1.17646	−	1.35771i	−0.256097	−	0.966651i	$-0.582437\pi$
$114$	3.36219	−	0.844308i	0.314898	−	0.0790767i
$115$	−0.137146	+	13.6186i	−0.0127889	+	1.26994i
$116$	4.03730	+	7.53171i	0.374854	+	0.699302i
$117$	−7.48662	+	6.48719i	−0.692138	+	0.599741i
$118$	5.84770	−	17.3453i	0.538324	−	1.59676i
$119$	−1.35540	+	9.42698i	−0.124249	+	0.864170i
$120$	−1.94558	−	6.08012i	−0.177606	−	0.555036i
$121$	−0.428089	−	2.97743i	−0.0389172	−	0.270675i
$122$	0.208172	−	5.25832i	0.0188470	−	0.476066i
$123$	−3.42740	−	5.33314i	−0.309038	−	0.480873i
$124$	6.92654	+	5.26926i	0.622022	+	0.473193i
$125$	1.54844	+	5.27352i	0.138497	+	0.471678i
$126$	3.24635	−	6.42318i	0.289208	−	0.572222i
$127$	−10.2183	+	11.7925i	−0.906723	+	1.04641i	0.0919930	+	0.995760i	$0.470676\pi$
$127$	−10.2183	+	11.7925i	−0.906723	+	1.04641i	−0.998716	+	0.0506547i	$0.983869\pi$
$128$	4.78843	+	10.2504i	0.423241	+	0.906017i
$129$	2.16333	+	4.73702i	0.190470	+	0.417072i
$130$	−11.4943	+	12.2504i	−1.00812	+	1.07443i
$131$	4.75259	−	16.1858i	0.415236	−	1.41416i	−0.440968	−	0.897523i	$-0.645365\pi$
$131$	4.75259	−	16.1858i	0.415236	−	1.41416i	0.856203	−	0.516639i	$-0.172817\pi$
$132$	−2.66504	−	3.61809i	−0.231962	−	0.314914i
$133$	6.02835	+	2.75306i	0.522724	+	0.238720i
$134$	−7.96938	+	0.825625i	−0.688450	+	0.0713231i
$135$	10.1930	+	6.55064i	0.877273	+	0.563789i
$136$	12.4481	+	1.48464i	1.06742	+	0.127306i
$137$	19.2206			1.64213			0.821063	−	0.570837i	$-0.193381\pi$
$137$	19.2206			1.64213			0.821063	+	0.570837i	$0.193381\pi$
$138$	−3.89364	−	3.72776i	−0.331448	−	0.317328i
$139$		−	13.2992i		−	1.12803i	−0.825766	−	0.564013i	$-0.809257\pi$
$139$		−	13.2992i		−	1.12803i	0.825766	−	0.564013i	$-0.190743\pi$
$140$	4.35330	−	11.4014i	0.367921	−	0.963598i
$141$	2.42680	−	3.77618i	0.204374	−	0.318012i
$142$	0.0756807	+	0.730512i	0.00635098	+	0.0613032i
$143$	−4.91217	+	10.7562i	−0.410776	+	0.899475i
$144$	−8.55533	−	4.06823i	−0.712944	−	0.339019i
$145$	−11.6424	−	3.41853i	−0.966851	−	0.283893i
$146$	−0.0949792	+	0.101227i	−0.00786054	+	0.00837760i
$147$	1.72264	−	0.786703i	0.142081	−	0.0648862i
$148$	−13.3718	−	13.5803i	−1.09916	−	1.11630i
$149$	9.78667	+	8.48019i	0.801755	+	0.694725i	0.956019	−	0.293305i	$-0.0947552\pi$
$149$	9.78667	+	8.48019i	0.801755	+	0.694725i	−0.154264	+	0.988030i	$0.549301\pi$
$150$	3.07423	+	1.55375i	0.251010	+	0.126863i
$151$	3.49612	−	1.02655i	0.284510	−	0.0835397i	−0.136364	−	0.990659i	$-0.543542\pi$
$151$	3.49612	−	1.02655i	0.284510	−	0.0835397i	0.420874	+	0.907119i	$0.361723\pi$
$152$	3.43162	−	8.02012i	0.278341	−	0.650518i
$153$	−8.83072	+	5.67516i	−0.713921	+	0.458809i
$154$	0.339834	−	8.58403i	0.0273846	−	0.691721i
$155$	−12.2317	+	1.75866i	−0.982475	+	0.141259i
$156$	−0.422991	−	6.63525i	−0.0338664	−	0.531245i
$157$	9.94400	+	1.42973i	0.793618	+	0.114105i	0.527187	−	0.849749i	$-0.323247\pi$
$157$	9.94400	+	1.42973i	0.793618	+	0.114105i	0.266430	+	0.963854i	$0.414156\pi$
$158$	−12.0814	−	4.07304i	−0.961142	−	0.324034i
$159$	5.08523	+	5.86867i	0.403285	+	0.465416i
$160$	−15.1414	−	5.36701i	−1.19704	−	0.424300i
$161$	−1.36378	−	10.2145i	−0.107481	−	0.805015i
$162$	5.09424	−	1.27926i	0.400241	−	0.100508i
$163$	−2.48417	+	2.15254i	−0.194575	+	0.168600i	−0.746700	−	0.665161i	$-0.768363\pi$
$163$	−2.48417	+	2.15254i	−0.194575	+	0.168600i	0.552125	+	0.833762i	$0.313817\pi$
$164$	−15.9031	−	1.26115i	−1.24182	−	0.0984794i
$165$	6.31566	+	0.908055i	0.491674	+	0.0706920i
$166$	−15.1260	−	2.78949i	−1.17400	−	0.216506i
$167$	3.28224	+	22.8285i	0.253988	+	1.76652i	0.573755	+	0.819027i	$0.305486\pi$
$167$	3.28224	+	22.8285i	0.253988	+	1.76652i	−0.319767	+	0.947496i	$0.603605\pi$
$168$	2.11187	+	4.34422i	0.162935	+	0.335164i
$169$	−3.78196	+	2.43052i	−0.290920	+	0.186963i
$170$	−13.9033	+	11.1156i	−1.06634	+	0.852526i
$171$	2.05789	+	7.00854i	0.157371	+	0.535957i
$172$	12.7833	+	2.88459i	0.974714	+	0.219948i
$173$	−14.9704	−	12.9719i	−1.13817	−	0.986234i	−0.138184	−	0.990407i	$-0.544126\pi$
$173$	−14.9704	−	12.9719i	−1.13817	−	0.986234i	−0.999991	+	0.00417253i	$0.998672\pi$
$174$	4.13968	−	2.43458i	0.313828	−	0.184565i
$175$	2.73557	+	5.99007i	0.206790	+	0.452807i
$176$	−11.3067	−	0.174971i	−0.852272	−	0.0131889i
$177$	−9.87026	−	2.89817i	−0.741894	−	0.217840i
$178$	−1.57133	−	3.83542i	−0.117776	−	0.287477i
$179$	−14.5450	−	6.64246i	−1.08714	−	0.496481i	−0.210485	−	0.977597i	$-0.567504\pi$
$179$	−14.5450	−	6.64246i	−1.08714	−	0.496481i	−0.876657	+	0.481116i	$0.840232\pi$
$180$	12.6392	−	4.60311i	0.942071	−	0.343095i
$181$	−4.65703	+	7.24647i	−0.346154	+	0.538626i	−0.970058	−	0.242875i	$-0.921909\pi$
$181$	−4.65703	+	7.24647i	−0.346154	+	0.538626i	0.623904	+	0.781501i	$0.285546\pi$
$182$	7.28954	−	10.4127i	0.540337	−	0.771842i
$183$	−2.95744			−0.218620
$184$	−13.3982	+	2.11856i	−0.987728	+	0.156182i
$185$	27.0616			1.98961
$186$	2.80497	−	4.00674i	0.205670	−	0.293789i
$187$	−6.77425	+	10.5409i	−0.495382	+	0.770830i
$188$	−3.86544	−	10.6137i	−0.281916	−	0.774084i
$189$	−8.33948	−	3.80851i	−0.606608	−	0.277028i
$190$	4.69582	+	11.4619i	0.340670	+	0.831535i
$191$	1.13900	+	0.334440i	0.0824149	+	0.0241992i	0.322680	−	0.946508i	$-0.395416\pi$
$191$	1.13900	+	0.334440i	0.0824149	+	0.0241992i	−0.240265	+	0.970707i	$0.577234\pi$
$192$	5.64967	−	2.91682i	0.407730	−	0.210503i
$193$	−8.34716	−	18.2777i	−0.600842	−	1.31566i	−0.928664	−	0.370921i	$-0.879042\pi$
$193$	−8.34716	−	18.2777i	−0.600842	−	1.31566i	0.327823	−	0.944739i	$-0.393685\pi$
$194$	−8.37465	+	4.92521i	−0.601265	+	0.353609i
$195$	7.13474	+	6.18229i	0.510929	+	0.442723i
$196$	1.04899	−	4.64869i	0.0749281	−	0.332049i
$197$	−2.71291	−	9.23931i	−0.193287	−	0.658274i	−0.997918	−	0.0644989i	$-0.979455\pi$
$197$	−2.71291	−	9.23931i	−0.193287	−	0.658274i	0.804631	−	0.593775i	$-0.202363\pi$
$198$	7.39555	−	5.91267i	0.525579	−	0.420195i
$199$	14.3055	−	9.19360i	1.01409	−	0.651717i	0.0756425	−	0.997135i	$-0.475899\pi$
$199$	14.3055	−	9.19360i	1.01409	−	0.651717i	0.938449	+	0.345418i	$0.112263\pi$
$200$	7.79569	−	3.78975i	0.551239	−	0.267976i
$201$	0.640799	+	4.45685i	0.0451985	+	0.314362i
$202$	4.18493	+	0.771773i	0.294451	+	0.0543018i
$203$	9.08776	+	1.30662i	0.637836	+	0.0917069i
$204$	0.556960	−	7.02325i	0.0389950	−	0.491726i
$205$	17.1192	−	14.8338i	1.19565	−	1.03604i
$206$	−6.64829	+	1.66951i	−0.463208	+	0.116320i
$207$	7.52406	−	8.50857i	0.522958	−	0.591386i
$208$	−13.9335	−	9.26222i	−0.966111	−	0.642220i
$209$	5.70977	+	6.58942i	0.394953	+	0.455800i
$210$	−6.49926	−	2.19113i	−0.448492	−	0.151202i
$211$	10.6596	+	1.53261i	0.733835	+	0.105510i	0.499093	−	0.866548i	$-0.333666\pi$
$211$	10.6596	+	1.53261i	0.733835	+	0.105510i	0.234742	+	0.972058i	$0.424576\pi$
$212$	19.5015	−	1.24320i	1.33937	−	0.0853834i
$213$	0.408536	−	0.0587387i	0.0279925	−	0.00402471i
$214$	−0.600018	+	15.1562i	−0.0410164	+	1.03605i
$215$	−15.6536	+	10.0600i	−1.06757	+	0.686085i
$216$	−4.74722	+	11.0948i	−0.323008	+	0.754909i
$217$	8.97161	−	2.63430i	0.609032	−	0.178828i
$218$	13.0400	+	6.59054i	0.883177	+	0.446368i
$219$	0.0589555	+	0.0510852i	0.00398384	+	0.00345202i
$220$	11.4411	−	11.2654i	0.771359	−	0.759514i
$221$	−16.8638	+	7.70146i	−1.13438	+	0.518056i
$222$	−7.32876	+	7.81084i	−0.491874	+	0.524229i
$223$	−9.35850	−	2.74790i	−0.626692	−	0.184013i	−0.0470603	−	0.998892i	$-0.514985\pi$
$223$	−9.35850	−	2.74790i	−0.626692	−	0.184013i	−0.579631	+	0.814879i	$0.696803\pi$
$224$	11.9182	+	2.38917i	0.796316	+	0.159633i
$225$	−3.01510	+	6.60215i	−0.201007	+	0.440143i
$226$	2.78306	+	26.8637i	0.185127	+	1.78694i
$227$	−8.66167	+	13.4778i	−0.574895	+	0.894555i	−0.999944	−	0.0106160i	$-0.996621\pi$
$227$	−8.66167	+	13.4778i	−0.574895	+	0.894555i	0.425048	+	0.905171i	$0.360257\pi$
$228$	−4.57999	−	1.74873i	−0.303317	−	0.115812i
$229$		−	5.84244i		−	0.386079i	−0.981191	−	0.193040i	$-0.938165\pi$
$229$		−	5.84244i		−	0.386079i	0.981191	−	0.193040i	$-0.0618346\pi$
$230$	11.2042	−	15.6664i	0.738785	−	1.03302i
$231$	−4.82792			−0.317654
$232$	1.43121	−	12.0002i	0.0939637	−	0.787851i
$233$	15.0751	+	9.68816i	0.987601	+	0.634692i	0.931503	−	0.363733i	$-0.118498\pi$
$233$	15.0751	+	9.68816i	0.987601	+	0.634692i	0.0560975	+	0.998425i	$0.482134\pi$
$234$	13.9349	−	1.44365i	0.910955	−	0.0943745i
$235$	14.5895	+	6.66280i	0.951713	+	0.434633i
$236$	−20.8426	+	15.3524i	−1.35674	+	0.999356i
$237$	−2.01863	+	6.87484i	−0.131124	+	0.446569i
$238$	9.21599	−	9.82221i	0.597384	−	0.636679i
$239$	−4.10510	−	8.98892i	−0.265537	−	0.581445i	0.729154	−	0.684349i	$-0.239914\pi$
$239$	−4.10510	−	8.98892i	−0.265537	−	0.581445i	−0.994691	+	0.102904i	$0.967186\pi$
$240$	−2.67723	+	8.62199i	−0.172815	+	0.556547i
$241$	11.2390	−	12.9705i	0.723969	−	0.835505i	−0.267809	−	0.963472i	$-0.586300\pi$
$241$	11.2390	−	12.9705i	0.723969	−	0.835505i	0.991778	+	0.127967i	$0.0408452\pi$
$242$	−1.91887	+	3.79665i	−0.123350	+	0.244058i
$243$	−4.43775	−	15.1136i	−0.284682	−	0.969537i
$244$	−4.50591	+	5.92311i	−0.288461	+	0.379188i
$245$	3.65836	+	5.69251i	0.233724	+	0.363681i
$246$	−0.354655	+	8.95841i	−0.0226120	+	0.571168i
$247$	1.83594	+	12.7692i	0.116818	+	0.812486i
$248$	−3.75104	−	11.7224i	−0.238191	−	0.744371i
$249$	−1.23017	+	8.55600i	−0.0779587	+	0.542215i
$250$	2.48314	−	7.36542i	0.157047	−	0.465830i
$251$	−5.87635	+	5.09188i	−0.370912	+	0.321397i	−0.820293	−	0.571943i	$-0.806190\pi$
$251$	−5.87635	+	5.09188i	−0.370912	+	0.321397i	0.449382	+	0.893340i	$0.351644\pi$
$252$	−8.97050	+	4.80854i	−0.565088	+	0.302910i
$253$	3.95049	−	12.9695i	0.248365	−	0.815387i
$254$	21.4025	−	5.37455i	1.34291	−	0.337229i
$255$	6.55104	+	7.56030i	0.410242	+	0.473445i
$256$	2.76599	−	15.7591i	0.172874	−	0.984944i
$257$	0.439462	−	3.05652i	0.0274129	−	0.190661i	−0.971514	−	0.236984i	$-0.923841\pi$
$257$	0.439462	−	3.05652i	0.0274129	−	0.190661i	0.998927	+	0.0463230i	$0.0147503\pi$
$258$	1.33565	−	7.24257i	0.0831541	−	0.450903i
$259$	−20.2679	+	2.91408i	−1.25938	+	0.181072i
$260$	23.2522	−	4.87010i	1.44204	−	0.302031i
$261$	5.47094	+	8.51295i	0.338643	+	0.526938i
$262$	−18.6335	+	14.8973i	−1.15118	+	0.920358i
$263$	−0.447855	+	0.131502i	−0.0276159	+	0.00810876i	−0.295511	−	0.955339i	$-0.595490\pi$
$263$	−0.447855	+	0.131502i	−0.0276159	+	0.00810876i	0.267895	+	0.963448i	$0.413672\pi$
$264$	0.153106	+	6.35315i	0.00942302	+	0.391009i
$265$	−18.1702	+	20.9695i	−1.11618	+	1.28815i
$266$	−4.75120	−	8.07878i	−0.291315	−	0.495342i
$267$	−2.11885	+	0.967644i	−0.129671	+	0.0592189i
$268$	9.90243	+	5.50702i	0.604887	+	0.336395i
$269$	−5.76441	+	19.6318i	−0.351462	+	1.19697i	0.574230	+	0.818694i	$0.305301\pi$
$269$	−5.76441	+	19.6318i	−0.351462	+	1.19697i	−0.925693	+	0.378277i	$0.876517\pi$
$270$	−6.49608	−	15.8561i	−0.395339	−	0.964974i
$271$	11.9480	−	26.1625i	0.725789	−	1.58926i	−0.0798206	−	0.996809i	$-0.525435\pi$
$271$	11.9480	−	26.1625i	0.725789	−	1.58926i	0.805610	−	0.592447i	$-0.201838\pi$
$272$	−13.2175	−	11.8160i	−0.801428	−	0.716450i
$273$	−6.00932	−	3.86195i	−0.363700	−	0.233736i
$274$	−22.2677	−	15.5888i	−1.34524	−	0.941753i
$275$			8.66369i			0.522440i
$276$	1.48753	+	7.47666i	0.0895390	+	0.450042i
$277$			8.56699i			0.514741i	0.966313	+	0.257370i	$0.0828560\pi$
$277$			8.56699i			0.514741i	−0.966313	+	0.257370i	$0.917144\pi$
$278$	−10.7863	+	15.4076i	−0.646918	+	0.924088i
$279$	8.66979	+	5.57174i	0.519047	+	0.333571i
$280$	−14.2905	+	9.67826i	−0.854023	+	0.578387i
$281$	−1.08674	+	2.37962i	−0.0648292	+	0.141956i	−0.939273	−	0.343170i	$-0.888499\pi$
$281$	−1.08674	+	2.37962i	−0.0648292	+	0.141956i	0.874444	+	0.485127i	$0.161226\pi$
$282$	−5.87420	+	2.40659i	−0.349803	+	0.143310i
$283$	−1.12238	+	3.82246i	−0.0667183	+	0.227222i	−0.986102	−	0.166140i	$-0.946870\pi$
$283$	−1.12238	+	3.82246i	−0.0667183	+	0.227222i	0.919384	+	0.393361i	$0.128688\pi$
$284$	0.504800	−	0.907704i	0.0299543	−	0.0538623i
$285$	6.33204	−	2.89175i	0.375078	−	0.171292i
$286$	14.4147	−	8.47739i	0.852357	−	0.501279i
$287$	−11.2241	+	12.9533i	−0.662538	+	0.764609i
$288$	6.61213	+	11.6520i	0.389623	+	0.686598i
$289$	−2.53785	+	0.745181i	−0.149286	+	0.0438342i
$290$	10.7156	+	13.4030i	0.629241	+	0.787053i
$291$	2.95193	+	4.59329i	0.173045	+	0.269264i
$292$	0.192136	−	0.0402424i	0.0112439	−	0.00235501i
$293$	3.03567	−	0.436463i	0.177346	−	0.0254984i	−0.0530699	−	0.998591i	$-0.516901\pi$
$293$	3.03567	−	0.436463i	0.177346	−	0.0254984i	0.230415	+	0.973092i	$0.425992\pi$
$294$	−2.63379	−	0.485716i	−0.153606	−	0.0283275i
$295$	5.23101	−	36.3824i	0.304561	−	2.11827i
$296$	4.47744	+	26.5784i	0.260246	+	1.54484i
$297$	−7.89875	−	9.11565i	−0.458332	−	0.528944i
$298$	−4.46037	−	17.7620i	−0.258383	−	1.02893i
$299$	15.2918	−	12.9831i	0.884346	−	0.750833i
$300$	−2.30144	−	4.29342i	−0.132874	−	0.247881i
$301$	10.6406	−	9.22009i	0.613311	−	0.531437i
$302$	−4.88296	−	1.64621i	−0.280983	−	0.0947290i
$303$	0.340353	−	2.36721i	0.0195528	−	0.135993i
$304$	−10.4803	+	6.50840i	−0.601089	+	0.373282i
$305$	−1.50388	−	10.4597i	−0.0861121	−	0.598923i
$306$	14.8335	+	0.587244i	0.847975	+	0.0335705i
$307$	−12.7088	−	19.7753i	−0.725331	−	1.12864i	−0.986566	−	0.163362i	$-0.947766\pi$
$307$	−12.7088	−	19.7753i	−0.725331	−	1.12864i	0.261236	−	0.965275i	$-0.415870\pi$
$308$	−7.35575	+	9.66929i	−0.419133	+	0.550959i
$309$	1.08531	+	3.69623i	0.0617412	+	0.210271i
$310$	15.5972	+	7.88302i	0.885863	+	0.447725i
$311$	−6.29158	+	7.26088i	−0.356763	+	0.411726i	−0.905553	−	0.424234i	$-0.860543\pi$
$311$	−6.29158	+	7.26088i	−0.356763	+	0.411726i	0.548790	+	0.835961i	$0.315089\pi$
$312$	−4.89144	+	8.03024i	−0.276924	+	0.454623i
$313$	8.06135	+	17.6519i	0.455654	+	0.997744i	0.988457	+	0.151504i	$0.0484117\pi$
$313$	8.06135	+	17.6519i	0.455654	+	0.997744i	−0.532802	+	0.846240i	$0.678861\pi$
$314$	−10.3609	−	9.72143i	−0.584699	−	0.548612i
$315$	4.07157	−	13.8665i	0.229407	−	0.781288i
$316$	10.6933	+	14.5173i	0.601543	+	0.816662i
$317$	0.503524	+	0.229951i	0.0282807	+	0.0129154i	0.429505	−	0.903064i	$-0.358688\pi$
$317$	0.503524	+	0.229951i	0.0282807	+	0.0129154i	−0.401224	+	0.915980i	$0.631415\pi$
$318$	−1.13166	−	10.9234i	−0.0634604	−	0.612555i
$319$	10.1616	+	6.53049i	0.568942	+	0.365637i
$320$	13.1890	+	18.4983i	0.737287	+	1.03408i
$321$	8.52429			0.475779
$322$	−6.70443	+	12.9400i	−0.373623	+	0.721115i
$323$			13.6700i			0.760620i
$324$	−6.93940	−	2.64960i	−0.385522	−	0.147200i
$325$	−6.93027	+	10.7837i	−0.384422	+	0.598172i
$326$	4.62381	−	0.479025i	0.256089	−	0.0265307i
$327$	3.41103	−	7.46910i	0.188630	−	0.413042i
$328$	17.4014	+	14.3592i	0.960833	+	0.792855i
$329$	−11.6443	−	3.41908i	−0.641972	−	0.188500i
$330$	−6.58044	−	6.17430i	−0.362241	−	0.339884i
$331$	27.4453	−	12.5339i	1.50853	−	0.688923i	0.522068	−	0.852904i	$-0.325161\pi$
$331$	27.4453	−	12.5339i	1.50853	−	0.688923i	0.986464	+	0.163981i	$0.0524334\pi$
$332$	15.2616	+	15.4996i	0.837588	+	0.850650i
$333$	−17.0562	−	14.7793i	−0.934674	−	0.809899i
$334$	14.7124	−	29.1097i	0.805025	−	1.59281i
$335$	−15.4370	+	4.53270i	−0.843411	+	0.247648i
$336$	1.07668	−	6.74576i	0.0587377	−	0.368011i
$337$	5.24120	−	3.36831i	0.285506	−	0.183484i	−0.390047	−	0.920795i	$-0.627541\pi$
$337$	5.24120	−	3.36831i	0.285506	−	0.183484i	0.675553	+	0.737311i	$0.263905\pi$
$338$	6.35280	+	0.251501i	0.345547	+	0.0136799i
$339$	15.0234	−	2.16004i	0.815960	−	0.117317i
$340$	25.1227	−	1.60155i	1.36247	−	0.0868564i
$341$	12.1765	+	1.75071i	0.659394	+	0.0948065i
$342$	3.30011	−	9.78869i	0.178449	−	0.529312i
$343$	−13.2029	−	15.2370i	−0.712892	−	0.822721i
$344$	−12.4703	−	13.7097i	−0.672355	−	0.739178i
$345$	−9.04658	−	5.94345i	−0.487051	−	0.319985i
$346$	6.82289	+	27.1700i	0.366801	+	1.46067i
$347$	−2.51872	+	2.18248i	−0.135212	+	0.117162i	−0.719841	−	0.694139i	$-0.755785\pi$
$347$	−2.51872	+	2.18248i	−0.135212	+	0.117162i	0.584629	+	0.811300i	$0.301240\pi$
$348$	−6.77052	−	0.536918i	−0.362938	−	0.0287818i
$349$	2.55464	+	0.367302i	0.136747	+	0.0196612i	0.210348	−	0.977627i	$-0.432540\pi$
$349$	2.55464	+	0.367302i	0.136747	+	0.0196612i	−0.0736015	+	0.997288i	$0.523449\pi$
$350$	1.68896	−	9.15839i	0.0902788	−	0.489536i
$351$	−2.53979	−	17.6646i	−0.135564	−	0.942869i
$352$	12.9573	+	9.37293i	0.690625	+	0.499579i
$353$	−13.2065	+	8.48730i	−0.702911	+	0.451733i	−0.842655	−	0.538454i	$-0.819008\pi$
$353$	−13.2065	+	8.48730i	−0.702911	+	0.451733i	0.139744	+	0.990188i	$0.455372\pi$
$354$	9.08450	+	11.3629i	0.482836	+	0.603929i
$355$	0.415489	+	1.41502i	0.0220519	+	0.0751017i
$356$	−1.29026	+	5.71788i	−0.0683837	+	0.303047i
$357$	−5.72054	−	4.95688i	−0.302763	−	0.262346i
$358$	11.4635	+	19.4922i	0.605866	+	1.03019i
$359$	−6.69491	−	14.6598i	−0.353344	−	0.773715i	−0.999941	−	0.0108831i	$-0.996536\pi$
$359$	−6.69491	−	14.6598i	−0.353344	−	0.773715i	0.646597	−	0.762832i	$-0.276192\pi$
$360$	−18.3763	−	4.91811i	−0.968516	−	0.259207i
$361$	−9.10338	−	2.67299i	−0.479125	−	0.140684i
$362$	11.2726	−	4.61824i	0.592472	−	0.242729i
$363$	2.17467	+	0.993139i	0.114141	+	0.0521263i
$364$	−16.8904	+	6.15135i	−0.885296	+	0.322418i
$365$	−0.150697	+	0.234488i	−0.00788782	+	0.0122737i
$366$	3.42629	+	2.39862i	0.179095	+	0.125378i
$367$	−6.55620			−0.342231			−0.171115	−	0.985251i	$-0.554737\pi$
$367$	−6.55620			−0.342231			−0.171115	+	0.985251i	$0.554737\pi$
$368$	17.2405	+	8.41213i	0.898725	+	0.438513i
$369$	−18.8910			−0.983428
$370$	−31.3518	−	21.9482i	−1.62990	−	1.14103i
$371$	11.3505	−	17.6618i	0.589291	−	0.916955i
$372$	−6.49930	+	2.36700i	−0.336973	+	0.122723i
$373$	−1.40360	−	0.641002i	−0.0726755	−	0.0331898i	0.378746	−	0.925501i	$-0.376356\pi$
$373$	−1.40360	−	0.641002i	−0.0726755	−	0.0331898i	−0.451421	+	0.892311i	$0.649083\pi$
$374$	16.3974	−	6.71783i	0.847889	−	0.347371i
$375$	−4.19125	−	1.23066i	−0.216435	−	0.0635512i
$376$	−4.12996	+	15.4314i	−0.212986	+	0.795814i
$377$	7.42433	+	16.2570i	0.382372	+	0.837278i
$378$	6.57270	+	11.1760i	0.338063	+	0.574831i
$379$	−18.1373	−	15.7161i	−0.931651	−	0.807280i	0.0498462	−	0.998757i	$-0.484127\pi$
$379$	−18.1373	−	15.7161i	−0.931651	−	0.807280i	−0.981497	+	0.191477i	$0.938672\pi$
$380$	3.85587	−	17.0876i	0.197802	−	0.876573i
$381$	−3.49388	−	11.8991i	−0.178997	−	0.609608i
$382$	−1.04832	−	1.31124i	−0.0536369	−	0.0670888i
$383$	26.8769	−	17.2728i	1.37335	−	0.882597i	0.374347	−	0.927289i	$-0.377867\pi$
$383$	26.8769	−	17.2728i	1.37335	−	0.882597i	0.999001	+	0.0446919i	$0.0142306\pi$
$384$	−8.91102	−	1.20290i	−0.454738	−	0.0613851i
$385$	−2.45504	−	17.0752i	−0.125120	−	0.870232i
$386$	−5.15360	+	27.9453i	−0.262311	+	1.42238i
$387$	15.3602	+	2.20846i	0.780802	+	0.112262i
$388$	13.6969	+	1.08620i	0.695355	+	0.0551433i
$389$	6.83632	−	5.92371i	0.346615	−	0.300344i	−0.464102	−	0.885782i	$-0.653623\pi$
$389$	6.83632	−	5.92371i	0.346615	−	0.300344i	0.810717	+	0.585438i	$0.199077\pi$
$390$	−3.25173	−	12.9490i	−0.164658	−	0.655698i
$391$	17.9968	−	11.3114i	0.910140	−	0.572044i
$392$	−4.98560	+	4.53489i	−0.251811	+	0.229047i
$393$	8.77982	+	10.1325i	0.442883	+	0.511115i
$394$	−4.35051	+	12.9044i	−0.219175	+	0.650113i
$395$	−25.3411	−	3.64350i	−1.27505	−	0.183325i
$396$	−13.3635	+	0.851908i	−0.671539	+	0.0428100i
$397$	−34.4023	+	4.94631i	−1.72660	+	0.248248i	−0.932920	−	0.360083i	$-0.882748\pi$
$397$	−34.4023	+	4.94631i	−1.72660	+	0.248248i	−0.793683	+	0.608331i	$0.791839\pi$
$398$	−24.0299	−	0.951320i	−1.20451	−	0.0476854i
$399$	−4.43101	+	2.84764i	−0.221828	+	0.142560i
$400$	−12.1053	−	1.93210i	−0.605263	−	0.0966050i
$401$	25.2472	−	7.41324i	1.26078	−	0.370200i	0.417998	−	0.908448i	$-0.362732\pi$
$401$	25.2472	−	7.41324i	1.26078	−	0.370200i	0.842786	+	0.538248i	$0.180914\pi$
$402$	2.87232	−	5.68314i	0.143258	−	0.283449i
$403$	13.7557	+	11.9193i	0.685218	+	0.593745i
$404$	−4.22245	−	4.28830i	−0.210075	−	0.213351i
$405$	9.59403	−	4.38145i	0.476731	−	0.217716i
$406$	−9.46876	−	8.88436i	−0.469927	−	0.440923i
$407$	−25.8481	−	7.58970i	−1.28125	−	0.376208i
$408$	−6.34144	+	7.68496i	−0.313948	+	0.380462i
$409$	−15.1663	+	33.2097i	−0.749928	+	1.64211i	0.0165678	+	0.999863i	$0.494726\pi$
$409$	−15.1663	+	33.2097i	−0.749928	+	1.64211i	−0.766495	+	0.642250i	$0.778001\pi$
$410$	−31.8641	+	3.30110i	−1.57365	+	0.163030i
$411$	−8.25884	+	12.8510i	−0.407379	+	0.633894i
$412$	9.05633	+	3.45788i	0.446173	+	0.170358i
$413$			27.8121i			1.36854i
$414$	−15.6177	+	3.75512i	−0.767570	+	0.184554i
$415$	−30.8861			−1.51614
$416$	8.63032	+	22.0313i	0.423136	+	1.08017i
$417$	8.89195	+	5.71451i	0.435441	+	0.279841i
$418$	−1.27064	−	12.2650i	−0.0621493	−	0.599899i
$419$	−4.40944	−	2.01372i	−0.215415	−	0.0983768i	0.304785	−	0.952421i	$-0.401415\pi$
$419$	−4.40944	−	2.01372i	−0.215415	−	0.0983768i	−0.520200	+	0.854044i	$0.674143\pi$
$420$	5.75252	+	7.80970i	0.280694	+	0.381074i
$421$	6.62812	−	22.5733i	0.323035	−	1.10016i	−0.624639	−	0.780914i	$-0.714754\pi$
$421$	6.62812	−	22.5733i	0.323035	−	1.10016i	0.947673	−	0.319241i	$-0.103428\pi$
$422$	−11.1065	−	10.4210i	−0.540655	−	0.507286i
$423$	−5.55658	−	12.1672i	−0.270170	−	0.591590i
$424$	−23.6014	−	14.3763i	−1.14619	−	0.698174i
$425$	−8.89511	+	10.2655i	−0.431476	+	0.497950i
$426$	−0.520944	−	0.263291i	−0.0252398	−	0.0127565i
$427$	2.25268	+	7.67191i	0.109015	+	0.371270i
$428$	12.9875	−	17.0723i	0.627774	−	0.825222i
$429$	−5.08093	−	7.90609i	−0.245310	−	0.381710i
$430$	26.2944	+	1.04097i	1.26803	+	0.0502000i
$431$	2.52319	+	17.5492i	0.121538	+	0.845315i	0.955815	+	0.293970i	$0.0949764\pi$
$431$	2.52319	+	17.5492i	0.121538	+	0.845315i	−0.834277	+	0.551346i	$0.814114\pi$
$432$	14.4983	−	9.00356i	0.697548	−	0.433184i
$433$	−3.61810	+	25.1645i	−0.173875	+	1.20933i	0.696726	+	0.717337i	$0.254639\pi$
$433$	−3.61810	+	25.1645i	−0.173875	+	1.20933i	−0.870601	+	0.491990i	$0.836270\pi$
$434$	−12.5305	−	4.22445i	−0.601482	−	0.202780i
$435$	7.28825	−	6.31531i	0.349445	−	0.302796i
$436$	−9.76202	−	18.2114i	−0.467516	−	0.872167i
$437$	−4.02407	−	14.2334i	−0.192497	−	0.680876i
$438$	−0.0268696	−	0.107000i	−0.00128388	−	0.00511264i
$439$	−4.72632	−	5.45446i	−0.225575	−	0.260327i	0.631669	−	0.775238i	$-0.282370\pi$
$439$	−4.72632	−	5.45446i	−0.225575	−	0.260327i	−0.857243	+	0.514911i	$0.827825\pi$
$440$	−22.3917	+	3.77213i	−1.06748	+	0.179829i
$441$	0.803117	−	5.58580i	0.0382437	−	0.265990i
$442$	25.7836	+	4.75493i	1.22640	+	0.226169i
$443$	33.1759	−	4.76998i	1.57623	−	0.226628i	0.702016	−	0.712161i	$-0.252283\pi$
$443$	33.1759	−	4.76998i	1.57623	−	0.226628i	0.874219	+	0.485533i	$0.161374\pi$
$444$	14.8256	−	3.10518i	0.703591	−	0.147365i
$445$	−4.49977	−	7.00179i	−0.213310	−	0.331916i
$446$	8.61348	+	10.7737i	0.407860	+	0.510150i
$447$	−9.87511	+	2.89960i	−0.467077	+	0.137146i
$448$	−11.8699	−	12.4341i	−0.560800	−	0.587457i
$449$	−13.2494	+	15.2907i	−0.625280	+	0.721611i	−0.976701	−	0.214606i	$-0.931153\pi$
$449$	−13.2494	+	15.2907i	−0.625280	+	0.721611i	0.351421	+	0.936218i	$0.385699\pi$
$450$	8.84774	−	5.20344i	0.417087	−	0.245292i
$451$	−20.5119	+	9.36745i	−0.965865	+	0.441096i
$452$	18.5634	−	33.3797i	0.873148	−	1.57005i
$453$	−0.815877	+	2.77862i	−0.0383333	+	0.130551i
$454$	20.9660	−	8.58953i	0.983983	−	0.403127i
$455$	10.6030	−	23.2173i	0.497076	−	1.08845i
$456$	3.88778	+	5.74055i	0.182062	+	0.268826i
$457$	19.2191	+	12.3513i	0.899030	+	0.577771i	0.906502	−	0.422201i	$-0.138742\pi$
$457$	19.2191	+	12.3513i	0.899030	+	0.577771i	−0.00747272	+	0.999972i	$0.502379\pi$
$458$	−4.73849	+	6.76868i	−0.221415	+	0.316279i
$459$		−	18.9108i		−	0.882679i
$460$	−25.6867	+	9.06299i	−1.19765	+	0.422564i
$461$			4.33725i			0.202006i	0.994886	+	0.101003i	$0.0322052\pi$
$461$			4.33725i			0.202006i	−0.994886	+	0.101003i	$0.967795\pi$
$462$	5.59332	+	3.91566i	0.260225	+	0.182173i
$463$	23.8686	+	15.3394i	1.10927	+	0.712883i	0.961133	−	0.276084i	$-0.0890368\pi$
$463$	23.8686	+	15.3394i	1.10927	+	0.712883i	0.148134	+	0.988967i	$0.452673\pi$
$464$	−11.3908	+	12.7419i	−0.528805	+	0.591526i
$465$	4.07996	−	8.93387i	0.189204	−	0.414298i
$466$	−9.60747	−	23.4507i	−0.445057	−	1.08633i
$467$	−3.08162	+	10.4950i	−0.142600	+	0.485653i	−0.999558	−	0.0297347i	$-0.990534\pi$
$467$	−3.08162	+	10.4950i	−0.142600	+	0.485653i	0.856957	+	0.515387i	$0.172352\pi$
$468$	−17.3150	−	9.62934i	−0.800385	−	0.445116i
$469$	11.0735	−	5.05708i	0.511325	−	0.233514i
$470$	−11.4986	−	19.5518i	−0.530391	−	0.901859i
$471$	−5.22874	+	6.03428i	−0.240927	+	0.278045i
$472$	36.5984	−	0.881993i	1.68458	−	0.0405970i
$473$	17.7732	−	5.21867i	0.817211	−	0.239955i
$474$	7.91447	−	6.32754i	0.363524	−	0.290634i
$475$	5.11008	+	7.95144i	0.234467	+	0.364837i
$476$	−18.6433	+	3.90479i	−0.854515	+	0.178976i
$477$	22.9043	−	3.29315i	1.04872	−	0.150783i
$478$	−2.53452	+	13.7434i	−0.115926	+	0.628609i
$479$	1.17604	−	8.17954i	0.0537347	−	0.373733i	−0.945155	−	0.326622i	$-0.894090\pi$
$479$	1.17604	−	8.17954i	0.0537347	−	0.373733i	0.998890	−	0.0471107i	$-0.0150013\pi$
$480$	10.0945	−	7.81752i	0.460749	−	0.356819i
$481$	−26.1021	−	30.1234i	−1.19015	−	1.37351i
$482$	−23.5405	+	5.91145i	−1.07224	+	0.269259i
$483$	7.41548	+	3.47720i	0.337416	+	0.158218i
$484$	5.30234	−	2.84227i	0.241016	−	0.129194i
$485$	−14.7443	+	12.7760i	−0.669503	+	0.580128i
$486$	−7.11652	+	21.1088i	−0.322812	+	0.957516i
$487$	−6.16918	+	42.9076i	−0.279552	+	1.94433i	0.0463523	+	0.998925i	$0.485240\pi$
$487$	−6.16918	+	42.9076i	−0.279552	+	1.94433i	−0.325904	+	0.945403i	$0.605669\pi$
$488$	10.0242	−	3.20763i	0.453773	−	0.145203i
$489$	−0.371789	−	2.58585i	−0.0168129	−	0.116936i
$490$	0.378553	−	9.56208i	0.0171013	−	0.431971i
$491$	7.27436	+	11.3191i	0.328287	+	0.510825i	0.965687	−	0.259708i	$-0.0836264\pi$
$491$	7.27436	+	11.3191i	0.328287	+	0.510825i	−0.637400	+	0.770533i	$0.719990\pi$
$492$	7.67656	−	10.0910i	0.346086	−	0.454937i
$493$	5.33547	+	18.1710i	0.240298	+	0.818379i
$494$	8.22942	−	16.2826i	0.370259	−	0.732590i
$495$	12.4512	−	14.3694i	0.559639	−	0.645858i
$496$	−5.16166	+	16.6230i	−0.231765	+	0.746397i
$497$	−0.463556	−	1.01505i	−0.0207933	−	0.0455311i
$498$	8.36450	−	8.91471i	0.374822	−	0.399478i
$499$	−5.83321	+	19.8661i	−0.261130	+	0.889329i	0.719670	+	0.694316i	$0.244293\pi$
$499$	−5.83321	+	19.8661i	−0.261130	+	0.889329i	−0.980801	+	0.195013i	$0.937525\pi$
$500$	−8.85049	+	6.51916i	−0.395806	+	0.291546i
$501$	−16.6736	−	7.61459i	−0.744922	−	0.340195i
$502$	10.9377	−	1.13314i	0.488174	−	0.0505746i
$503$	8.35715	+	5.37082i	0.372627	+	0.239473i	0.713529	−	0.700626i	$-0.247096\pi$
$503$	8.35715	+	5.37082i	0.372627	+	0.239473i	−0.340901	+	0.940099i	$0.610732\pi$
$504$	14.2926	+	1.70462i	0.636643	+	0.0759297i
$505$	8.54531			0.380261
$506$	−15.0957	+	11.8216i	−0.671084	+	0.525536i
$507$		−	3.57301i		−	0.158683i
$508$	−29.1545	−	11.1318i	−1.29352	−	0.493892i
$509$	1.37348	−	2.13718i	0.0608786	−	0.0947290i	−0.809480	−	0.587148i	$-0.800251\pi$
$509$	1.37348	−	2.13718i	0.0608786	−	0.0947290i	0.870358	+	0.492419i	$0.163887\pi$
$510$	−1.45786	−	14.0721i	−0.0645552	−	0.623122i
$511$	0.0876142	−	0.191848i	0.00387583	−	0.00848687i
$512$	−15.9859	+	16.0141i	−0.706482	+	0.707732i
$513$	−12.6261	−	3.70734i	−0.557454	−	0.163683i
$514$	−2.98811	+	3.18467i	−0.131800	+	0.140470i
$515$	−12.5208	+	5.71805i	−0.551732	+	0.251968i
$516$	−7.42146	+	7.30750i	−0.326711	+	0.321695i
$517$	−12.0667	−	10.4558i	−0.530691	−	0.459846i
$518$	25.8445	+	13.0621i	1.13554	+	0.573916i
$519$	15.1057	−	4.43542i	0.663064	−	0.194693i
$520$	−30.8884	−	13.2164i	−1.35454	−	0.579578i
$521$	13.8888	−	8.92580i	0.608480	−	0.391046i	−0.199807	−	0.979835i	$-0.564031\pi$
$521$	13.8888	−	8.92580i	0.608480	−	0.391046i	0.808287	+	0.588789i	$0.200395\pi$
$522$	0.566113	−	14.2997i	0.0247781	−	0.625883i
$523$	−20.5007	+	2.94756i	−0.896435	+	0.128888i	−0.575105	−	0.818079i	$-0.695039\pi$
$523$	−20.5007	+	2.94756i	−0.896435	+	0.128888i	−0.321330	+	0.946967i	$0.604130\pi$
$524$	33.6699	−	2.14643i	1.47088	−	0.0937672i
$525$	−5.18044	−	0.744835i	−0.226093	−	0.0325073i
$526$	0.625509	+	0.210881i	0.0272735	+	0.00919484i
$527$	12.6303	+	14.5761i	0.550184	+	0.634947i
$528$	4.97532	−	7.48452i	0.216523	−	0.325722i
$529$	−15.4088	+	17.0754i	−0.669948	+	0.742408i
$530$	38.0580	−	9.55706i	1.65313	−	0.415132i
$531$	−23.1667	+	20.0741i	−1.00535	+	0.871140i
$532$	−1.04782	+	13.2130i	−0.0454288	+	0.572856i
$533$	−33.0243	−	4.74818i	−1.43044	−	0.205667i
$534$	3.23956	+	0.597430i	0.140190	+	0.0258533i
$535$	4.33468	+	30.1483i	0.187404	+	1.30343i
$536$	−7.00588	−	14.4114i	−0.302608	−	0.622478i
$537$	10.6910	−	6.87067i	0.461350	−	0.296491i
$538$	22.6005	−	18.0689i	0.974378	−	0.779006i
$539$	−1.89779	−	6.46329i	−0.0817438	−	0.278394i
$540$	−5.33412	+	23.6385i	−0.229544	+	1.01724i
$541$	15.6385	+	13.5509i	0.672353	+	0.582597i	0.922681	−	0.385564i	$-0.125993\pi$
$541$	15.6385	+	13.5509i	0.672353	+	0.582597i	−0.250328	+	0.968161i	$0.580539\pi$
$542$	−35.0611	+	20.6198i	−1.50600	+	0.885695i
$543$	−2.84397	−	6.22743i	−0.122047	−	0.267245i
$544$	5.72961	+	24.4092i	0.245655	+	1.04654i
$545$	28.1509	+	8.26586i	1.20585	+	0.354071i
$546$	3.82979	+	9.34804i	0.163900	+	0.400059i
$547$	26.5291	+	12.1154i	1.13430	+	0.518018i	0.891934	−	0.452167i	$-0.149349\pi$
$547$	26.5291	+	12.1154i	1.13430	+	0.518018i	0.242368	+	0.970184i	$0.422076\pi$
$548$	13.1548	+	36.1203i	0.561943	+	1.54298i
$549$	−4.76457	+	7.41382i	−0.203347	+	0.316414i
$550$	7.02665	−	10.0372i	0.299617	−	0.427987i
$551$	13.1781			0.561406
$552$	4.34055	−	9.86844i	0.184746	−	0.420028i
$553$	19.3717			0.823767
$554$	6.94822	−	9.92517i	0.295202	−	0.421680i
$555$	−11.6280	+	18.0935i	−0.493581	+	0.768028i
$556$	24.9926	−	9.10212i	1.05992	−	0.386016i
$557$	36.7395	+	16.7784i	1.55670	+	0.710922i	0.993333	−	0.115283i	$-0.0367775\pi$
$557$	36.7395	+	16.7784i	1.55670	+	0.710922i	0.563370	+	0.826205i	$0.309505\pi$
$558$	−5.52533	−	13.4867i	−0.233906	−	0.570935i
$559$	26.2968	+	7.72144i	1.11224	+	0.326582i
$560$	24.4056	+	0.377678i	1.03133	+	0.0159598i
$561$	−4.13693	−	9.05861i	−0.174661	−	0.382455i
$562$	3.18900	−	1.87548i	0.134520	−	0.0791124i
$563$	−26.5585	−	23.0131i	−1.11931	−	0.969885i	−0.119570	−	0.992826i	$-0.538151\pi$
$563$	−26.5585	−	23.0131i	−1.11931	−	0.969885i	−0.999737	+	0.0229412i	$0.992697\pi$
$564$	8.75732	+	1.97612i	0.368750	+	0.0832097i
$565$	15.2791	+	52.0358i	0.642796	+	2.18916i
$566$	4.40050	−	3.51816i	0.184967	−	0.147879i
$567$	−6.71367	+	4.31462i	−0.281948	+	0.181197i
$568$	−1.32102	+	0.642192i	−0.0554287	+	0.0269458i
$569$	−4.90534	−	34.1174i	−0.205642	−	1.43027i	−0.787164	−	0.616743i	$-0.788452\pi$
$569$	−4.90534	−	34.1174i	−0.205642	−	1.43027i	0.581522	−	0.813531i	$-0.302458\pi$
$570$	−9.68124	−	1.78539i	−0.405502	−	0.0747816i
$571$	−9.75941	−	1.40319i	−0.408419	−	0.0587217i	−0.0649561	−	0.997888i	$-0.520691\pi$
$571$	−9.75941	−	1.40319i	−0.408419	−	0.0587217i	−0.343463	+	0.939166i	$0.611600\pi$
$572$	−23.5754	−	1.86959i	−0.985739	−	0.0781714i
$573$	−0.713021	+	0.617836i	−0.0297869	+	0.0258105i
$574$	23.5092	−	5.90360i	0.981257	−	0.246412i
$575$	6.23983	−	13.3071i	0.260219	−	0.554943i
$576$	1.78988	−	18.8619i	0.0745784	−	0.785914i
$577$	21.9521	+	25.3340i	0.913877	+	1.05467i	0.998303	+	0.0582403i	$0.0185489\pi$
$577$	21.9521	+	25.3340i	0.913877	+	1.05467i	−0.0844258	+	0.996430i	$0.526906\pi$
$578$	3.54457	+	1.19500i	0.147435	+	0.0497053i
$579$	15.8073	+	2.27274i	0.656928	+	0.0944520i
$580$	−1.54392	−	24.2187i	−0.0641079	−	1.00563i
$581$	23.1322	−	3.32591i	0.959686	−	0.137982i
$582$	0.305455	−	7.71564i	0.0126615	−	0.319824i
$583$	23.2365	−	14.9332i	0.962359	−	0.618471i
$584$	−0.255235	−	0.109209i	−0.0105617	−	0.00451911i
$585$	26.9924	−	7.92568i	1.11600	−	0.327687i
$586$	−3.87092	−	1.95641i	−0.159906	−	0.0808184i
$587$	−33.4921	−	29.0211i	−1.38237	−	1.19783i	−0.956032	−	0.293261i	$-0.905259\pi$
$587$	−33.4921	−	29.0211i	−1.38237	−	1.19783i	−0.426334	−	0.904566i	$-0.640195\pi$
$588$	2.65740	+	2.69885i	0.109590	+	0.111299i
$589$	12.2081	−	5.57524i	0.503025	−	0.229724i
$590$	−35.5681	+	37.9078i	−1.46432	+	1.56064i
$591$	7.34316	+	2.15615i	0.302057	+	0.0886921i
$592$	16.3691	−	34.4235i	0.672764	−	1.41480i
$593$	−9.36051	+	20.4967i	−0.384390	+	0.841697i	0.614227	+	0.789129i	$0.289468\pi$
$593$	−9.36051	+	20.4967i	−0.384390	+	0.841697i	−0.998617	+	0.0525678i	$0.983259\pi$
$594$	1.75778	+	16.9671i	0.0721226	+	0.696167i
$595$	14.6223	−	22.7528i	0.599457	−	0.932773i
$596$	−9.23833	+	24.1955i	−0.378417	+	0.991087i
$597$			13.5151i			0.553137i
$598$	−28.2460	+	2.63907i	−1.15506	+	0.107919i
$599$	−22.0753			−0.901972			−0.450986	−	0.892531i	$-0.648928\pi$
$599$	−22.0753			−0.901972			−0.450986	+	0.892531i	$0.648928\pi$
$600$	−0.815857	+	6.84066i	−0.0333072	+	0.279269i
$601$	9.28686	+	5.96830i	0.378819	+	0.243452i	0.716169	−	0.697927i	$-0.245894\pi$
$601$	9.28686	+	5.96830i	0.378819	+	0.243452i	−0.337350	+	0.941379i	$0.609530\pi$
$602$	−19.8054	+	2.05183i	−0.807207	+	0.0836263i
$603$	12.2050	+	5.57382i	0.497025	+	0.226984i
$604$	4.32193	+	5.86750i	0.175857	+	0.238745i
$605$	−2.40665	+	8.19630i	−0.0978443	+	0.333227i
$606$	−2.31422	+	2.46645i	−0.0940090	+	0.100193i
$607$	−0.997192	−	2.18355i	−0.0404748	−	0.0886274i	0.888315	−	0.459235i	$-0.151877\pi$
$607$	−0.997192	−	2.18355i	−0.0404748	−	0.0886274i	−0.928789	+	0.370608i	$0.879149\pi$
$608$	17.4205	+	0.959829i	0.706493	+	0.0389262i
$609$	−4.77851	+	5.51469i	−0.193635	+	0.223467i
$610$	−6.74102	+	13.3377i	−0.272936	+	0.540027i
$611$	−6.65556	−	22.6667i	−0.269255	−	0.916998i
$612$	−16.7089	−	12.7110i	−0.675416	−	0.513812i
$613$	3.44635	+	5.36263i	0.139197	+	0.216595i	0.903852	−	0.427845i	$-0.140727\pi$
$613$	3.44635	+	5.36263i	0.139197	+	0.216595i	−0.764655	+	0.644440i	$0.777091\pi$
$614$	−1.31506	+	33.2178i	−0.0530716	+	1.34056i
$615$	2.56211	+	17.8199i	0.103314	+	0.718567i
$616$	16.3641	−	5.23636i	0.659330	−	0.210979i
$617$	0.177649	−	1.23557i	0.00715187	−	0.0497423i	−0.985933	−	0.167141i	$-0.946546\pi$
$617$	0.177649	−	1.23557i	0.00715187	−	0.0497423i	0.993085	+	0.117399i	$0.0374556\pi$
$618$	1.74044	−	5.16246i	0.0700108	−	0.207664i
$619$	−11.7898	+	10.2159i	−0.473871	+	0.410611i	−0.858781	−	0.512343i	$-0.828778\pi$
$619$	−11.7898	+	10.2159i	−0.473871	+	0.410611i	0.384910	+	0.922954i	$0.374232\pi$
$620$	−11.6765	−	21.7828i	−0.468938	−	0.874819i
$621$	5.56680	+	19.6902i	0.223388	+	0.790139i
$622$	13.1779	−	3.30922i	0.528387	−	0.132688i
$623$	4.12410	+	4.75946i	0.165228	+	0.190684i
$624$	12.1798	−	5.33614i	0.487583	−	0.213616i
$625$	4.40197	−	30.6164i	0.176079	−	1.22465i
$626$	4.97713	−	26.9885i	0.198926	−	1.07868i
$627$	−6.85914	+	0.986196i	−0.273928	+	0.0393849i
$628$	4.11894	+	19.6658i	0.164364	+	0.784751i
$629$	−22.8347	−	35.5315i	−0.910480	−	1.41674i
$630$	−15.9634	+	12.7626i	−0.635998	+	0.508474i
$631$	−39.1501	+	11.4955i	−1.55854	+	0.457629i	−0.943639	−	0.330975i	$-0.892622\pi$
$631$	−39.1501	+	11.4955i	−1.55854	+	0.457629i	−0.614901	+	0.788604i	$0.710804\pi$
$632$	−0.614327	−	25.4915i	−0.0244366	−	1.01400i
$633$	−5.60500	+	6.46851i	−0.222779	+	0.257100i
$634$	−0.396849	−	0.674788i	−0.0157609	−	0.0267992i
$635$	40.3074	−	18.4078i	1.59955	−	0.730491i
$636$	−7.54832	+	13.5730i	−0.299310	+	0.538204i
$637$	2.80794	−	9.56295i	0.111254	−	0.378898i
$638$	−6.47609	−	15.8073i	−0.256391	−	0.625819i
$639$	0.510923	−	1.11877i	0.0202118	−	0.0442577i
$640$	−0.276973	−	32.1278i	−0.0109483	−	1.26996i
$641$	−23.6659	−	15.2092i	−0.934747	−	0.600726i	−0.0178466	−	0.999841i	$-0.505681\pi$
$641$	−23.6659	−	15.2092i	−0.934747	−	0.600726i	−0.916901	+	0.399115i	$0.869317\pi$
$642$	−9.87569	−	6.91359i	−0.389762	−	0.272858i
$643$			3.78744i			0.149362i	0.997207	+	0.0746810i	$0.0237939\pi$
$643$			3.78744i			0.149362i	−0.997207	+	0.0746810i	$0.976206\pi$
$644$	18.2622	−	9.55379i	0.719632	−	0.376472i
$645$		−	14.7888i		−	0.582307i
$646$	11.0870	−	15.8372i	0.436212	−	0.623106i
$647$	7.17857	+	4.61339i	0.282219	+	0.181371i	0.674090	−	0.738649i	$-0.264536\pi$
$647$	7.17857	+	4.61339i	0.282219	+	0.181371i	−0.391871	+	0.920020i	$0.628172\pi$
$648$	5.89059	+	8.69782i	0.231404	+	0.341683i
$649$	−15.2003	+	33.2840i	−0.596664	+	1.30651i
$650$	16.7750	−	6.87254i	0.657971	−	0.269563i
$651$	−2.09367	+	7.13040i	−0.0820576	+	0.279462i
$652$	−5.74536	−	3.19515i	−0.225006	−	0.125132i
$653$	27.6643	−	12.6339i	1.08259	−	0.494401i	0.207435	−	0.978249i	$-0.433488\pi$
$653$	27.6643	−	12.6339i	1.08259	−	0.494401i	0.875152	+	0.483848i	$0.160761\pi$
$654$	−10.0096	+	5.88672i	−0.391406	+	0.230189i
$655$	−31.3714	+	36.2045i	−1.22578	+	1.41463i
$656$	−8.51420	−	30.7490i	−0.332424	−	1.20055i
$657$	0.223042	−	0.0654912i	0.00870171	−	0.00255505i
$658$	10.7173	+	13.4052i	0.417805	+	0.522589i
$659$	25.3179	+	39.3954i	0.986245	+	1.53463i	0.837995	+	0.545677i	$0.183728\pi$
$659$	25.3179	+	39.3954i	0.986245	+	1.53463i	0.148250	+	0.988950i	$0.452636\pi$
$660$	2.61603	+	12.4902i	0.101829	+	0.486180i
$661$	−8.36685	+	1.20297i	−0.325433	+	0.0467902i	−0.303095	−	0.952960i	$-0.598020\pi$
$661$	−8.36685	+	1.20297i	−0.325433	+	0.0467902i	−0.0223376	+	0.999750i	$0.507111\pi$
$662$	−41.9619	−	7.73849i	−1.63090	−	0.300765i
$663$	2.09693	−	14.5845i	0.0814381	−	0.566414i
$664$	−5.11021	−	30.3346i	−0.198315	−	1.17721i
$665$	−12.3246	−	14.2234i	−0.477928	−	0.551559i
$666$	7.77354	+	30.9557i	0.301218	+	1.19951i
$667$	−10.9044	−	17.3492i	−0.422220	−	0.671765i
$668$	−40.6541	+	21.7922i	−1.57295	+	0.843166i
$669$	5.85850	−	5.07641i	0.226503	−	0.196266i
$670$	21.5605	+	7.26878i	0.832954	+	0.280818i
$671$	−1.49709	+	10.4125i	−0.0577946	+	0.401970i
$672$	−6.71849	+	6.94197i	−0.259171	+	0.267792i
$673$	−5.90270	−	41.0542i	−0.227532	−	1.58252i	−0.708453	−	0.705758i	$-0.750607\pi$
$673$	−5.90270	−	41.0542i	−0.227532	−	1.58252i	0.480920	−	0.876764i	$-0.340303\pi$
$674$	−8.80397	−	0.348541i	−0.339116	−	0.0134253i
$675$	−7.06917	−	10.9998i	−0.272092	−	0.423384i
$676$	−7.15596	−	5.44378i	−0.275229	−	0.209376i
$677$	−9.98932	−	34.0205i	−0.383921	−	1.30751i	−0.894263	−	0.447542i	$-0.852299\pi$
$677$	−9.98932	−	34.0205i	−0.383921	−	1.30751i	0.510342	−	0.859972i	$-0.329519\pi$
$678$	−19.1571	−	9.68219i	−0.735722	−	0.371842i
$679$	9.66702	−	11.1563i	0.370986	−	0.428141i
$680$	−30.4045	−	18.5202i	−1.16596	−	0.710219i
$681$	−5.28955	−	11.5825i	−0.202696	−	0.443842i
$682$	−12.6870	−	11.9040i	−0.485810	−	0.455826i
$683$	−9.54456	+	32.5058i	−0.365212	+	1.24380i	0.548056	+	0.836441i	$0.315368\pi$
$683$	−9.54456	+	32.5058i	−0.365212	+	1.24380i	−0.913269	+	0.407358i	$0.866450\pi$
$684$	−11.7624	+	8.66401i	−0.449745	+	0.331277i
$685$	−49.6506	−	22.6747i	−1.89705	−	0.866355i
$686$	2.93817	+	28.3608i	0.112180	+	1.08282i
$687$	3.90629	+	2.51042i	0.149034	+	0.0957786i
$688$	3.32812	+	25.9972i	0.126883	+	0.991134i
$689$	40.8679			1.55694
$690$	5.66037	+	14.2229i	0.215487	+	0.541456i
$691$		−	25.0921i		−	0.954547i	−0.878755	−	0.477274i	$-0.841625\pi$
$691$		−	25.0921i		−	0.954547i	0.878755	−	0.477274i	$-0.158375\pi$
$692$	14.1316	−	37.0111i	0.537202	−	1.40695i
$693$	−7.77801	+	12.1028i	−0.295462	+	0.459748i
$694$	4.68811	−	0.485687i	0.177958	−	0.0184364i
$695$	−15.6892	+	34.3545i	−0.595125	+	1.30314i
$696$	7.40843	+	6.11324i	0.280816	+	0.231722i
$697$	−33.9219	−	9.96037i	−1.28488	−	0.377276i
$698$	−2.66174	−	2.49746i	−0.100748	−	0.0945303i
$699$	−12.9551	+	5.91641i	−0.490008	+	0.223779i
$700$	−9.38459	+	9.24049i	−0.354704	+	0.349258i
$701$	15.9339	+	13.8068i	0.601815	+	0.521476i	0.901622	−	0.432524i	$-0.142377\pi$
$701$	15.9339	+	13.8068i	0.601815	+	0.521476i	−0.299807	+	0.954000i	$0.596922\pi$
$702$	−11.3844	+	22.5250i	−0.429676	+	0.850151i
$703$	−28.1998	+	8.28020i	−1.06357	+	0.312294i
$704$	−7.40957	−	21.3678i	−0.279259	−	0.805330i
$705$	−10.7237	+	6.89171i	−0.403878	+	0.259557i
$706$	22.1838	+	0.878235i	0.834898	+	0.0330528i
$707$	−6.40004	+	0.920187i	−0.240698	+	0.0346072i
$708$	−1.30891	−	20.5322i	−0.0491919	−	0.771648i
$709$	−46.9658	−	6.75266i	−1.76384	−	0.253601i	−0.817304	−	0.576207i	$-0.804532\pi$
$709$	−46.9658	−	6.75266i	−1.76384	−	0.253601i	−0.946533	+	0.322606i	$0.895441\pi$
$710$	0.666291	−	1.97634i	0.0250055	−	0.0741706i
$711$	13.9820	+	16.1361i	0.524366	+	0.605151i
$712$	6.13228	−	5.57791i	0.229817	−	0.209041i
$713$	−17.4416	−	11.4589i	−0.653195	−	0.429138i
$714$	2.60720	+	10.3823i	0.0975719	+	0.388549i
$715$	25.3782	−	21.9903i	0.949091	−	0.822392i
$716$	2.52814	−	31.8798i	0.0944811	−	1.19140i
$717$	7.77396	+	1.11773i	0.290324	+	0.0417423i
$718$	−4.13348	+	22.4138i	−0.154260	+	0.836475i
$719$	−3.74764	−	26.0654i	−0.139763	−	0.972075i	−0.932154	−	0.362061i	$-0.882073\pi$
$719$	−3.74764	−	26.0654i	−0.139763	−	0.972075i	0.792391	−	0.610014i	$-0.208836\pi$
$720$	17.3008	+	20.6018i	0.644762	+	0.767785i
$721$	8.76175	−	5.63084i	0.326305	−	0.209703i
$722$	8.37867	+	10.4800i	0.311822	+	0.390026i
$723$	3.84291	+	13.0877i	0.142919	+	0.486738i
$724$	−16.8053	−	3.79216i	−0.624562	−	0.140935i
$725$	9.89611	+	8.57502i	0.367532	+	0.318468i
$726$	−1.71395	−	2.91434i	−0.0636107	−	0.108161i
$727$	7.95482	+	17.4186i	0.295028	+	0.646021i	0.997864	−	0.0653313i	$-0.0208104\pi$
$727$	7.95482	+	17.4186i	0.295028	+	0.646021i	−0.702836	+	0.711352i	$0.748083\pi$
$728$	24.5571	+	6.57231i	0.910148	+	0.243586i
$729$	1.32117	+	0.387930i	0.0489322	+	0.0143678i
$730$	0.364768	−	0.149441i	0.0135007	−	0.00553107i
$731$	26.4173	+	12.0644i	0.977078	+	0.446217i
$732$	−2.02410	−	5.55776i	−0.0748128	−	0.205421i
$733$	−1.67664	+	2.60891i	−0.0619282	+	0.0963622i	−0.870837	−	0.491572i	$-0.836422\pi$
$733$	−1.67664	+	2.60891i	−0.0619282	+	0.0963622i	0.808909	+	0.587934i	$0.200059\pi$
$734$	7.59559	+	5.31738i	0.280358	+	0.196268i
$735$	−5.37800			−0.198371
$736$	−13.1512	−	23.7286i	−0.484758	−	0.874648i
$737$	16.0160			0.589957
$738$	21.8859	+	15.3215i	0.805632	+	0.563992i
$739$	4.78348	−	7.44324i	0.175963	−	0.273804i	−0.742058	−	0.670336i	$-0.766150\pi$
$739$	4.78348	−	7.44324i	0.175963	−	0.273804i	0.918021	+	0.396532i	$0.129786\pi$
$740$	18.5212	+	50.8555i	0.680853	+	1.86948i
$741$	−9.32646	−	4.25925i	−0.342616	−	0.156467i
$742$	−27.4745	+	11.2560i	−1.00862	+	0.413221i
$743$	20.8489	+	6.12178i	0.764870	+	0.224586i	0.640822	−	0.767690i	$-0.278594\pi$
$743$	20.8489	+	6.12178i	0.764870	+	0.224586i	0.124049	+	0.992276i	$0.460412\pi$
$744$	9.44942	+	2.52898i	0.346433	+	0.0927169i
$745$	−15.2767	−	33.4514i	−0.559697	−	1.22556i
$746$	1.10624	+	1.88101i	0.0405022	+	0.0688685i
$747$	19.4667	+	16.8680i	0.712248	+	0.617166i
$748$	−24.4454	−	5.51620i	−0.893814	−	0.201692i
$749$	−6.49294	−	22.1129i	−0.237247	−	0.807989i
$750$	3.85759	+	4.82507i	0.140859	+	0.176186i
$751$	5.22563	−	3.35831i	0.190686	−	0.122546i	−0.441814	−	0.897106i	$-0.645665\pi$
$751$	5.22563	−	3.35831i	0.190686	−	0.122546i	0.632500	+	0.774560i	$0.282029\pi$
$752$	17.3003	−	14.5282i	0.630876	−	0.529791i
$753$	−0.879474	−	6.11688i	−0.0320498	−	0.222911i
$754$	4.58383	−	24.8558i	0.166933	−	0.905194i
$755$	−10.2422	−	1.47261i	−0.372752	−	0.0535936i
$756$	1.44953	−	18.2785i	0.0527190	−	0.664784i
$757$	14.4080	−	12.4846i	0.523666	−	0.453759i	−0.352470	−	0.935823i	$-0.614658\pi$
$757$	14.4080	−	12.4846i	0.523666	−	0.453759i	0.876136	+	0.482064i	$0.160113\pi$
$758$	8.26627	+	32.9178i	0.300244	+	1.19563i
$759$	6.97403	+	8.21416i	0.253141	+	0.298155i
$760$	−18.3260	+	16.6693i	−0.664752	+	0.604658i
$761$	−7.71967	−	8.90898i	−0.279838	−	0.322950i	0.598379	−	0.801214i	$-0.295812\pi$
$761$	−7.71967	−	8.90898i	−0.279838	−	0.322950i	−0.878216	+	0.478263i	$0.841266\pi$
$762$	−5.60290	+	16.6192i	−0.202972	+	0.602050i
$763$	−21.9738	−	3.15936i	−0.795507	−	0.114377i
$764$	0.151044	+	2.36935i	0.00546459	+	0.0857202i
$765$	29.5065	−	4.24240i	1.06681	−	0.153384i
$766$	−45.1469	−	1.78732i	−1.63122	−	0.0645786i
$767$	−45.5444	+	29.2696i	−1.64451	+	1.05686i
$768$	9.34812	+	8.62084i	0.337321	+	0.311078i
$769$	−16.3958	+	4.81424i	−0.591248	+	0.173606i	−0.563651	−	0.826013i	$-0.690604\pi$
$769$	−16.3958	+	4.81424i	−0.591248	+	0.173606i	−0.0275969	+	0.999619i	$0.508785\pi$
$770$	−11.0045	+	21.7733i	−0.396575	+	0.784657i
$771$	1.85478	+	1.60718i	0.0667982	+	0.0578810i
$772$	28.6356	−	28.1959i	1.03062	−	1.01479i
$773$	26.3948	−	12.0541i	0.949356	−	0.433556i	0.120310	−	0.992736i	$-0.461611\pi$
$773$	26.3948	−	12.0541i	0.949356	−	0.433556i	0.829046	+	0.559180i	$0.188884\pi$
$774$	−16.0042	−	15.0164i	−0.575257	−	0.539753i
$775$	12.7955	+	3.75709i	0.459627	+	0.134959i
$776$	−14.9874	−	12.3672i	−0.538016	−	0.443957i
$777$	6.76047	−	14.8034i	0.242530	−	0.531068i
$778$	−12.7245	+	1.31825i	−0.456196	+	0.0472617i
$779$	−13.3004	+	20.6958i	−0.476536	+	0.741504i
$780$	−6.73498	+	17.6392i	−0.241151	+	0.631584i
$781$		−	1.46810i		−	0.0525329i
$782$	−30.0241	−	1.49157i	−1.07366	−	0.0533386i
$783$	−18.2303			−0.651497
$784$	9.45400	−	1.21029i	0.337643	−	0.0432245i
$785$	−24.0007	−	15.4243i	−0.856620	−	0.550516i
$786$	−1.95385	−	18.8596i	−0.0696916	−	0.672701i
$787$	−47.2669	−	21.5861i	−1.68488	−	0.769460i	−0.999133	−	0.0416207i	$-0.986748\pi$
$787$	−47.2669	−	21.5861i	−1.68488	−	0.769460i	−0.685748	−	0.727839i	$-0.740525\pi$
$788$	15.5063	−	11.4217i	0.552387	−	0.406882i
$789$	0.104514	−	0.355943i	0.00372081	−	0.0126719i
$790$	26.4036	+	24.7739i	0.939396	+	0.881417i
$791$	−17.0467	−	37.3271i	−0.606111	−	1.32720i
$792$	16.1730	+	9.85141i	0.574682	+	0.350055i
$793$	−10.1926	+	11.7629i	−0.361950	+	0.417713i
$794$	43.8680	+	22.1714i	1.55682	+	0.786833i
$795$	−6.21284	−	21.1590i	−0.220347	−	0.750433i
$796$	27.0679	+	20.5915i	0.959397	+	0.729845i
$797$	11.0492	+	17.1929i	0.391383	+	0.609004i	0.979902	−	0.199479i	$-0.0639251\pi$
$797$	11.0492	+	17.1929i	0.391383	+	0.609004i	−0.588519	+	0.808483i	$0.700289\pi$
$798$	7.44305	+	0.294663i	0.263481	+	0.0104310i
$799$	−3.56253	−	24.7779i	−0.126033	−	0.876581i
$800$	12.4573	+	12.0563i	0.440434	+	0.426255i
$801$	−0.987832	+	6.87052i	−0.0349033	+	0.242758i
$802$	−35.2622	−	11.8881i	−1.24515	−	0.419784i
$803$	0.209704	−	0.181710i	0.00740030	−	0.00641240i
$804$	−7.93698	+	4.25453i	−0.279916	+	0.150046i
$805$	−8.52719	+	27.9949i	−0.300544	+	0.986692i
$806$	−6.26928	−	24.9654i	−0.220826	−	0.879370i
$807$	−10.6490	−	12.2896i	−0.374864	−	0.432616i
$808$	1.41385	+	8.39275i	0.0497392	+	0.295256i
$809$	4.36255	−	30.3422i	0.153379	−	1.06678i	−0.757123	−	0.653272i	$-0.773396\pi$
$809$	4.36255	−	30.3422i	0.153379	−	1.06678i	0.910503	−	0.413504i	$-0.135695\pi$
$810$	−14.6686	−	2.70514i	−0.515401	−	0.0950488i
$811$	39.9079	−	5.73790i	1.40136	−	0.201485i	0.600158	−	0.799882i	$-0.295104\pi$
$811$	39.9079	−	5.73790i	1.40136	−	0.201485i	0.801200	+	0.598397i	$0.204195\pi$
$812$	3.76428	+	17.9724i	0.132100	+	0.630709i
$813$	12.3585	+	19.2302i	0.433431	+	0.674432i
$814$	23.7904	+	29.7570i	0.833853	+	1.04298i
$815$	8.95647	−	2.62986i	0.313731	−	0.0921199i
$816$	13.5796	−	3.76011i	0.475382	−	0.131630i
$817$	13.2339	−	15.2727i	0.462996	−	0.534326i
$818$	44.5053	−	26.1740i	1.55609	−	0.915152i
$819$	−19.3626	+	8.84260i	−0.676584	+	0.308985i
$820$	39.5930	+	22.0188i	1.38265	+	0.768929i
$821$	4.15909	−	14.1646i	0.145153	−	0.494346i	−0.854533	−	0.519397i	$-0.826157\pi$
$821$	4.15909	−	14.1646i	0.145153	−	0.494346i	0.999686	+	0.0250508i	$0.00797474\pi$
$822$	19.9909	−	8.19005i	0.697263	−	0.285661i
$823$	−5.87672	+	12.8682i	−0.204850	+	0.448558i	−0.983974	−	0.178311i	$-0.942937\pi$
$823$	−5.87672	+	12.8682i	−0.204850	+	0.448558i	0.779124	+	0.626869i	$0.215664\pi$
$824$	−7.68758	−	11.3512i	−0.267809	−	0.395437i
$825$	−5.79260	−	3.72268i	−0.201672	−	0.129607i
$826$	22.5568	−	32.2213i	0.784853	−	1.12112i
$827$		−	25.7693i		−	0.896086i	−0.894012	−	0.448043i	$-0.852121\pi$
$827$		−	25.7693i		−	0.896086i	0.894012	−	0.448043i	$-0.147879\pi$
$828$	21.1393	+	8.31625i	0.734641	+	0.289010i
$829$		−	9.30907i		−	0.323317i	−0.986847	−	0.161659i	$-0.948316\pi$
$829$		−	9.30907i		−	0.323317i	0.986847	−	0.161659i	$-0.0516844\pi$
$830$	35.7826	+	25.0500i	1.24203	+	0.869498i
$831$	−5.72794	−	3.68113i	−0.198700	−	0.127697i
$832$	7.86985	−	32.5236i	0.272838	−	1.12755i
$833$	4.38726	−	9.60676i	0.152010	−	0.332855i
$834$	−5.66691	−	13.8322i	−0.196229	−	0.478971i
$835$	18.4523	−	62.8426i	0.638567	−	2.17476i
$836$	−8.47536	+	15.2399i	−0.293126	+	0.527084i
$837$	−16.8884	+	7.71265i	−0.583747	+	0.266588i
$838$	3.47527	+	5.90922i	0.120051	+	0.204131i
$839$	14.6207	−	16.8732i	0.504762	−	0.582526i	−0.444988	−	0.895537i	$-0.646792\pi$
$839$	14.6207	−	16.8732i	0.504762	−	0.582526i	0.949750	+	0.313010i	$0.101337\pi$
$840$	−0.330482	−	13.7134i	−0.0114027	−	0.473156i
$841$	−10.3082	+	3.02676i	−0.355455	+	0.104371i
$842$	−25.9869	+	20.7763i	−0.895567	+	0.715997i
$843$	−1.12407	−	1.74909i	−0.0387151	−	0.0602419i
$844$	4.41534	+	21.0809i	0.151982	+	0.725636i
$845$	12.6369	−	1.81690i	0.434721	−	0.0625034i
$846$	−3.43067	+	18.6028i	−0.117949	+	0.639577i
$847$	0.919866	−	6.39781i	0.0316070	−	0.219831i
$848$	15.6833	+	35.7973i	0.538566	+	1.22928i
$849$	−2.07345	−	2.39289i	−0.0711607	−	0.0821238i
$850$	18.6311	−	4.67861i	0.639041	−	0.160475i
$851$	34.2353	+	30.2740i	1.17357	+	1.03778i
$852$	0.389991	+	0.727541i	0.0133609	+	0.0249251i
$853$	−1.77844	+	1.54103i	−0.0608927	+	0.0527638i	−0.684775	−	0.728754i	$-0.740100\pi$
$853$	−1.77844	+	1.54103i	−0.0608927	+	0.0527638i	0.623883	+	0.781518i	$0.285554\pi$
$854$	3.61247	−	10.7152i	0.123616	−	0.366667i
$855$	2.95208	−	20.5322i	0.100959	−	0.702185i
$856$	−28.8929	+	9.24544i	−0.987539	+	0.316003i
$857$	−3.84135	−	26.7172i	−0.131218	−	0.912641i	−0.943970	−	0.330031i	$-0.892941\pi$
$857$	−3.84135	−	26.7172i	−0.131218	−	0.912641i	0.812752	−	0.582610i	$-0.197968\pi$
$858$	−0.525756	+	13.2804i	−0.0179490	+	0.453384i
$859$	24.8864	+	38.7240i	0.849114	+	1.32125i	0.945406	+	0.325894i	$0.105665\pi$
$859$	24.8864	+	38.7240i	0.849114	+	1.32125i	−0.0962929	+	0.995353i	$0.530699\pi$
$860$	−29.6187	−	22.5320i	−1.00999	−	0.768333i
$861$	−3.83781	−	13.0704i	−0.130792	−	0.445437i
$862$	11.3100	−	22.3778i	0.385220	−	0.762191i
$863$	2.00895	−	2.31845i	0.0683853	−	0.0789208i	−0.720526	−	0.693428i	$-0.756100\pi$
$863$	2.00895	−	2.31845i	0.0683853	−	0.0789208i	0.788911	+	0.614507i	$0.210645\pi$
$864$	−24.0990	−	1.32780i	−0.819866	−	0.0451728i
$865$	23.3684	+	51.1696i	0.794548	+	1.73982i
$866$	24.6012	−	26.2195i	0.835984	−	0.890974i
$867$	0.592250	−	2.01702i	0.0201139	−	0.0685016i
$868$	11.0908	+	15.0570i	0.376445	+	0.511067i
$869$	23.1830	+	10.5873i	0.786429	+	0.359150i
$870$	−13.5657	+	1.40540i	−0.459920	+	0.0476476i
$871$	19.9352	+	12.8115i	0.675477	+	0.434103i
$872$	−3.46061	+	29.0160i	−0.117191	+	0.982605i
$873$	16.2703			0.550668
$874$	−6.88192	+	19.7536i	−0.232784	+	0.668176i
$875$			11.8100i			0.399250i
$876$	−0.0556522	+	0.145755i	−0.00188031	+	0.00492461i
$877$	−17.6963	+	27.5360i	−0.597562	+	0.929824i	0.402335	+	0.915492i	$0.368199\pi$
$877$	−17.6963	+	27.5360i	−0.597562	+	0.929824i	−0.999897	+	0.0143320i	$0.995438\pi$
$878$	1.05179	+	10.1524i	0.0354962	+	0.342629i
$879$	−1.01256	+	2.21721i	−0.0341530	+	0.0747846i
$880$	29.0009	+	13.7905i	0.977621	+	0.464879i
$881$	−9.47589	−	2.78237i	−0.319251	−	0.0937405i	0.118181	−	0.992992i	$-0.462294\pi$
$881$	−9.47589	−	2.78237i	−0.319251	−	0.0937405i	−0.437432	+	0.899252i	$0.644112\pi$
$882$	−5.46078	+	5.81998i	−0.183874	+	0.195969i
$883$	−32.0702	+	14.6460i	−1.07925	+	0.492876i	−0.874046	−	0.485844i	$-0.838512\pi$
$883$	−32.0702	+	14.6460i	−1.07925	+	0.492876i	−0.205202	+	0.978720i	$0.565785\pi$
$884$	−26.0147	−	26.4204i	−0.874970	−	0.888615i
$885$	22.0778	+	19.1306i	0.742138	+	0.643066i
$886$	−42.3041	−	21.3810i	−1.42124	−	0.718309i
$887$	−11.8346	+	3.47497i	−0.397369	+	0.116678i	−0.474311	−	0.880358i	$-0.657303\pi$
$887$	−11.8346	+	3.47497i	−0.397369	+	0.116678i	0.0769419	+	0.997036i	$0.475484\pi$
$888$	−19.6944	−	8.42677i	−0.660901	−	0.282784i
$889$	−28.2062	+	18.1270i	−0.946005	+	0.607961i
$890$	−0.465620	+	11.7613i	−0.0156076	+	0.394241i
$891$	−10.3927	+	1.49424i	−0.348167	+	0.0500589i
$892$	−1.24105	−	19.4677i	−0.0415533	−	0.651826i
$893$	−17.2418	−	2.47899i	−0.576974	−	0.0829564i
$894$	13.7924	+	4.64989i	0.461286	+	0.155515i
$895$	29.7364	+	34.3176i	0.993977	+	1.14711i
$896$	3.66706	+	24.0324i	0.122508	+	0.802866i
$897$	2.10991	+	15.8028i	0.0704478	+	0.527642i
$898$	27.7514	−	6.96888i	0.926076	−	0.232555i
$899$	14.0516	−	12.1758i	0.468648	−	0.406086i
$900$	−14.4707	−	1.14756i	−0.482355	−	0.0382519i
$901$	42.8648	+	6.16303i	1.42803	+	0.205320i
$902$	31.3611	+	5.78353i	1.04421	+	0.192570i
$903$	1.59250	+	11.0761i	0.0529951	+	0.368589i
$904$	−48.5788	+	23.6158i	−1.61571	+	0.785450i
$905$	20.5787	−	13.2251i	0.684060	−	0.439619i
$906$	3.19881	−	2.55742i	0.106273	−	0.0849646i
$907$	−0.611116	−	2.08127i	−0.0202918	−	0.0691074i	0.948725	−	0.316104i	$-0.102375\pi$
$907$	−0.611116	−	2.08127i	−0.0202918	−	0.0691074i	−0.969016	+	0.246996i	$0.920557\pi$
$908$	−31.2563	−	7.05310i	−1.03728	−	0.234066i
$909$	−5.38588	−	4.66689i	−0.178638	−	0.154791i
$910$	−31.1143	+	18.2986i	−1.03143	+	0.606592i
$911$	−21.3545	−	46.7599i	−0.707508	−	1.54923i	−0.830624	−	0.556833i	$-0.812016\pi$
$911$	−21.3545	−	46.7599i	−0.707508	−	1.54923i	0.123116	−	0.992392i	$-0.460711\pi$
$912$	0.151714	−	9.80380i	0.00502375	−	0.324636i
$913$	29.5011	+	8.66232i	0.976345	+	0.286681i
$914$	−12.2485	−	29.8970i	−0.405143	−	0.988905i
$915$	7.63964	+	3.48891i	0.252559	+	0.115340i
$916$	10.9794	−	3.99862i	0.362770	−	0.132118i
$917$	19.5971	−	30.4937i	0.647153	−	1.00699i
$918$	−15.3375	+	21.9088i	−0.506213	+	0.723098i
$919$	−40.3849			−1.33218			−0.666088	−	0.745874i	$-0.732032\pi$
$919$	−40.3849			−1.33218			−0.666088	+	0.745874i	$0.732032\pi$
$920$	37.1095	+	10.3333i	1.22346	+	0.340679i
$921$	18.6827			0.615616
$922$	3.51771	−	5.02486i	0.115850	−	0.165485i
$923$	1.17437	−	1.82735i	0.0386548	−	0.0601480i
$924$	−3.30427	−	9.07287i	−0.108703	−	0.298476i
$925$	−26.5646	−	12.1316i	−0.873438	−	0.398886i
$926$	−15.2117	−	37.1298i	−0.499886	−	1.22016i
$927$	11.0144	+	3.23411i	0.361759	+	0.106222i
$928$	23.5309	−	5.52344i	0.772440	−	0.181316i
$929$	20.8137	+	45.5756i	0.682875	+	1.49529i	0.859568	+	0.511022i	$0.170733\pi$
$929$	20.8137	+	45.5756i	0.682875	+	1.49529i	−0.176692	+	0.984266i	$0.556540\pi$
$930$	−11.9726	+	7.04117i	−0.392596	+	0.230889i
$931$	−5.55400	−	4.81257i	−0.182025	−	0.157726i
$932$	−7.88896	+	34.9605i	−0.258412	+	1.14517i
$933$	−2.15125	−	7.32650i	−0.0704289	−	0.239859i
$934$	12.0821	−	9.65954i	0.395339	−	0.316070i
$935$	29.9345	−	19.2377i	0.978961	−	0.629140i
$936$	12.2502	+	25.1992i	0.400410	+	0.823661i
$937$	0.264587	+	1.84024i	0.00864367	+	0.0601180i	0.993687	−	0.112190i	$-0.0357866\pi$
$937$	0.264587	+	1.84024i	0.00864367	+	0.0601180i	−0.985043	+	0.172308i	$0.944877\pi$
$938$	−16.9305	−	3.12228i	−0.552801	−	0.101946i
$939$	−15.2660	−	2.19492i	−0.498188	−	0.0716286i
$940$	−2.53588	+	31.9774i	−0.0827114	+	1.04299i
$941$	−25.8807	+	22.4258i	−0.843688	+	0.731060i	−0.965195	−	0.261531i	$-0.915773\pi$
$941$	−25.8807	+	22.4258i	−0.843688	+	0.731060i	0.121507	+	0.992591i	$0.461227\pi$
$942$	10.9518	−	2.75019i	0.356828	−	0.0896059i
$943$	38.2520	+	0.385215i	1.24566	+	0.0125443i
$944$	−43.1159	−	28.6612i	−1.40330	−	0.932841i
$945$	17.0496	+	19.6763i	0.554623	+	0.640069i
$946$	−24.8234	−	8.36883i	−0.807079	−	0.272094i
$947$	24.3517	+	3.50125i	0.791324	+	0.113775i	0.526112	−	0.850415i	$-0.323649\pi$
$947$	24.3517	+	3.50125i	0.791324	+	0.113775i	0.265211	+	0.964190i	$0.414558\pi$
$948$	−14.3011	+	0.911683i	−0.464479	+	0.0296101i
$949$	0.406372	−	0.0584275i	0.0131914	−	0.00189664i
$950$	0.528773	−	13.3565i	0.0171556	−	0.433343i
$951$	−0.370105	+	0.237852i	−0.0120015	+	0.00771287i
$952$	24.7659	+	10.5967i	0.802667	+	0.343442i
$953$	−33.9385	+	9.96523i	−1.09937	+	0.322805i	−0.780604	−	0.625026i	$-0.785088\pi$
$953$	−33.9385	+	9.96523i	−1.09937	+	0.322805i	−0.318771	+	0.947832i	$0.603270\pi$
$954$	−29.2064	−	14.7612i	−0.945592	−	0.477913i
$955$	−2.54771	−	2.20761i	−0.0824421	−	0.0714365i
$956$	14.0829	−	13.8666i	0.455472	−	0.448479i
$957$	−8.73265	+	3.98807i	−0.282286	+	0.128916i
$958$	−7.99647	+	8.52247i	−0.258354	+	0.275348i
$959$	39.6277	+	11.6357i	1.27964	+	0.375737i
$960$	−18.0352	+	0.869774i	−0.582084	+	0.0280718i
$961$	−5.01177	+	10.9742i	−0.161670	+	0.354008i
$962$	5.80872	+	56.0690i	0.187281	+	1.80774i
$963$	13.7330	−	21.3690i	0.442541	−	0.688607i
$964$	32.0670	+	12.2438i	1.03281	+	0.394346i
$965$			57.0622i			1.83690i
$966$	−5.77092	−	10.0428i	−0.185676	−	0.323120i
$967$	−35.3562			−1.13698			−0.568489	−	0.822691i	$-0.692472\pi$
$967$	−35.3562			−1.13698			−0.568489	+	0.822691i	$0.692472\pi$
$968$	−8.44816	−	1.00758i	−0.271534	−	0.0323847i
$969$	−9.13985	−	5.87383i	−0.293614	−	0.188694i
$970$	27.4437	−	2.84315i	0.881164	−	0.0912882i
$971$	−24.2309	−	11.0659i	−0.777607	−	0.355121i	−0.0132478	−	0.999912i	$-0.504217\pi$
$971$	−24.2309	−	11.0659i	−0.777607	−	0.355121i	−0.764359	+	0.644791i	$0.776944\pi$
$972$	25.3650	−	18.6835i	0.813582	−	0.599274i
$973$	8.05107	−	27.4194i	0.258105	−	0.879026i
$974$	41.9472	−	44.7065i	1.34408	−	1.43249i
$975$	−4.23221	−	9.26724i	−0.135539	−	0.296789i
$976$	−14.2149	−	4.41390i	−0.455008	−	0.141286i
$977$	5.46013	−	6.30133i	0.174685	−	0.201597i	−0.661655	−	0.749809i	$-0.730146\pi$
$977$	5.46013	−	6.30133i	0.174685	−	0.201597i	0.836340	+	0.548211i	$0.184691\pi$
$978$	−1.66651	+	3.29734i	−0.0532892	+	0.105437i
$979$	2.33428	+	7.94984i	0.0746040	+	0.254078i
$980$	−8.19385	+	10.7710i	−0.261743	+	0.344066i
$981$	−13.2285	−	20.5840i	−0.422354	−	0.657196i
$982$	0.752724	−	19.0134i	0.0240204	−	0.606743i
$983$	1.73900	+	12.0950i	0.0554654	+	0.385770i	0.998579	+	0.0532985i	$0.0169735\pi$
$983$	1.73900	+	12.0950i	0.0554654	+	0.385770i	−0.943113	+	0.332472i	$0.892117\pi$
$984$	−17.0778	+	5.46474i	−0.544421	+	0.174209i
$985$	−3.89171	+	27.0674i	−0.124000	+	0.862439i
$986$	8.55614	−	25.3790i	0.272483	−	0.808233i
$987$	7.28943	−	6.31633i	0.232025	−	0.201051i
$988$	−22.7400	+	12.1896i	−0.723457	+	0.387802i
$989$	−31.0575	−	4.78508i	−0.987570	−	0.152157i
$990$	−26.0794	+	6.54902i	−0.828858	+	0.208141i
$991$	−20.8039	−	24.0089i	−0.660857	−	0.762669i	0.322060	−	0.946719i	$-0.395625\pi$
$991$	−20.8039	−	24.0089i	−0.660857	−	0.762669i	−0.982917	+	0.184050i	$0.941079\pi$
$992$	19.4620	−	15.0720i	0.617920	−	0.478538i
$993$	−3.41269	+	23.7358i	−0.108298	+	0.753231i
$994$	−0.286203	+	1.55193i	−0.00907780	+	0.0492243i
$995$	−47.7997	+	6.87256i	−1.51535	+	0.217875i
$996$	−16.9208	+	3.54402i	−0.536157	+	0.112296i
$997$	12.1572	+	18.9169i	0.385022	+	0.599106i	0.978625	−	0.205652i	$-0.0659315\pi$
$997$	12.1572	+	18.9169i	0.385022	+	0.599106i	−0.593603	+	0.804758i	$0.702295\pi$
$998$	22.8703	−	18.2846i	0.723947	−	0.578788i
$999$	39.0109	−	11.4546i	1.23425	−	0.362409i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	184.2.p.a.13.4	✓	220
4.3	odd	2		736.2.x.a.657.13		220
8.3	odd	2		736.2.x.a.657.10		220
8.5	even	2	inner	184.2.p.a.13.9	yes	220
23.16	even	11	inner	184.2.p.a.85.9	yes	220
92.39	odd	22		736.2.x.a.177.10		220
184.85	even	22	inner	184.2.p.a.85.4	yes	220
184.131	odd	22		736.2.x.a.177.13		220

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
184.2.p.a.13.4	✓	220	1.1	even	1	trivial
184.2.p.a.13.9	yes	220	8.5	even	2	inner
184.2.p.a.85.4	yes	220	184.85	even	22	inner
184.2.p.a.85.9	yes	220	23.16	even	11	inner
736.2.x.a.177.10		220	92.39	odd	22
736.2.x.a.177.13		220	184.131	odd	22
736.2.x.a.657.10		220	8.3	odd	2
736.2.x.a.657.13		220	4.3	odd	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:	\( N \)	\(=\)	\( 184 = 2^{3} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	184.p (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.15854 - 0.811046i) q^{2} +(-0.429687 + 0.668606i) q^{3} +(0.684409 + 1.87925i) q^{4} +(-2.58320 - 1.17971i) q^{5} +(1.04008 - 0.426108i) q^{6} +(2.06173 + 0.605378i) q^{7} +(0.731246 - 2.73227i) q^{8} +(0.983842 + 2.15431i) q^{9} +(2.03593 + 3.46182i) q^{10} +(2.13651 + 1.85129i) q^{11} +(-1.55056 - 0.349890i) q^{12} +(1.17842 + 4.01335i) q^{13} +(-1.89760 - 2.37351i) q^{14} +(1.89873 - 1.22024i) q^{15} +(-3.06317 + 2.57235i) q^{16} +(0.630777 + 4.38715i) q^{17} +(0.607431 - 3.29379i) q^{18} +(3.05281 + 0.438928i) q^{19} +(0.449000 - 5.66188i) q^{20} +(-1.29066 + 1.11836i) q^{21} +(-0.973736 - 3.87760i) q^{22} +(-1.94823 - 4.38228i) q^{23} +(1.51260 + 1.66294i) q^{24} +(2.00690 + 2.31608i) q^{25} +(1.88976 - 5.60536i) q^{26} +(-4.22318 - 0.607202i) q^{27} +(0.273409 + 4.28883i) q^{28} +(4.22928 - 0.608079i) q^{29} +(-3.18941 - 0.126266i) q^{30} +(3.66071 - 2.35260i) q^{31} +(5.63509 - 0.495794i) q^{32} +(-2.15582 + 0.633005i) q^{33} +(2.82740 - 5.59426i) q^{34} +(-4.61169 - 3.99605i) q^{35} +(-3.37514 + 3.32332i) q^{36} +(-8.66816 + 3.95862i) q^{37} +(-3.18080 - 2.98448i) q^{38} +(-3.18970 - 0.936581i) q^{39} +(-5.11223 + 6.19533i) q^{40} +(-3.31356 + 7.25568i) q^{41} +(2.40232 - 0.248879i) q^{42} +(3.54246 - 5.51218i) q^{43} +(-2.01680 + 5.28208i) q^{44} -6.72566i q^{45} +(-1.29714 + 6.65713i) q^{46} -5.64784 q^{47} +(-0.403688 - 3.15336i) q^{48} +(-2.00453 - 1.28823i) q^{49} +(-0.446613 - 4.31095i) q^{50} +(-3.20431 - 1.46336i) q^{51} +(-6.73556 + 4.96133i) q^{52} +(2.75268 - 9.37475i) q^{53} +(4.40024 + 4.12866i) q^{54} +(-3.33504 - 7.30271i) q^{55} +(3.16169 - 5.19051i) q^{56} +(-1.60522 + 1.85253i) q^{57} +(-5.39296 - 2.72566i) q^{58} +(3.64653 + 12.4190i) q^{59} +(3.59264 + 2.73304i) q^{60} +(2.01178 + 3.13039i) q^{61} +(-6.14913 - 0.243438i) q^{62} +(0.724241 + 5.03721i) q^{63} +(-6.93056 - 3.99592i) q^{64} +(1.69047 - 11.7575i) q^{65} +(3.01099 + 1.01511i) q^{66} +(4.28160 - 3.71003i) q^{67} +(-7.81285 + 4.18800i) q^{68} +(3.76715 + 0.580412i) q^{69} +(2.10182 + 8.36985i) q^{70} +(-0.340079 - 0.392472i) q^{71} +(6.60559 - 1.11279i) q^{72} +(0.0139686 - 0.0971537i) q^{73} +(13.2530 + 2.44408i) q^{74} +(-2.41089 + 0.346633i) q^{75} +(1.26452 + 6.03740i) q^{76} +(3.28417 + 5.11026i) q^{77} +(2.93577 + 3.67206i) q^{78} +(8.65006 - 2.53989i) q^{79} +(10.9474 - 3.03126i) q^{80} +(-2.43216 + 2.80686i) q^{81} +(9.72357 - 5.71852i) q^{82} +(9.89319 - 4.51807i) q^{83} +(-2.98502 - 1.66005i) q^{84} +(3.54613 - 12.0770i) q^{85} +(-8.57470 + 3.51296i) q^{86} +(-1.41070 + 3.08901i) q^{87} +(6.62054 - 4.48376i) q^{88} +(2.46557 + 1.58452i) q^{89} +(-5.45482 + 7.79192i) q^{90} +8.98783i q^{91} +(6.90202 - 6.66049i) q^{92} +3.45845i q^{93} +(6.54323 + 4.58066i) q^{94} +(-7.36820 - 4.73526i) q^{95} +(-2.08983 + 3.98069i) q^{96} +(2.85388 - 6.24913i) q^{97} +(1.27750 + 3.11823i) q^{98} +(-1.88628 + 6.42409i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 220 q - 11 q^{2} - 11 q^{4} - 14 q^{6} - 22 q^{7} - 14 q^{8} - 9 q^{10} - 12 q^{12} - 3 q^{14} - 22 q^{15} + 5 q^{16} - 18 q^{17} - 4 q^{18} - 27 q^{20} - 42 q^{22} - 16 q^{23} - 22 q^{24} - 4 q^{25} - 16 q^{26}+ \cdots + 109 q^{98}+O(q^{100}) \) 220 * q - 11 * q^2 - 11 * q^4 - 14 * q^6 - 22 * q^7 - 14 * q^8 - 9 * q^10 - 12 * q^12 - 3 * q^14 - 22 * q^15 + 5 * q^16 - 18 * q^17 - 4 * q^18 - 27 * q^20 - 42 * q^22 - 16 * q^23 - 22 * q^24 - 4 * q^25 - 16 * q^26 - 17 * q^28 - 37 * q^30 - 34 * q^31 - 11 * q^32 - 30 * q^33 - 23 * q^34 + 37 * q^36 - 78 * q^38 - 18 * q^39 + 99 * q^40 - 18 * q^41 - 77 * q^42 + 48 * q^44 - 99 * q^46 - 40 * q^47 + 116 * q^48 - 28 * q^49 - 60 * q^50 + 98 * q^52 - 114 * q^54 - 38 * q^55 + 66 * q^56 - 30 * q^57 - 51 * q^58 - 45 * q^60 + 18 * q^62 + 18 * q^63 - 14 * q^64 - 38 * q^65 - 12 * q^66 + 10 * q^68 - 38 * q^70 - 26 * q^71 + 55 * q^72 - 18 * q^73 + 10 * q^74 + 72 * q^76 + 42 * q^78 - 22 * q^79 + 66 * q^80 - 52 * q^81 + 64 * q^82 + 125 * q^84 + 121 * q^86 - 42 * q^87 + 17 * q^88 - 2 * q^89 + 204 * q^90 + 88 * q^92 + 105 * q^94 - 78 * q^95 + 157 * q^96 - 18 * q^97 + 109 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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