LMFDB - Embedded newform 300.2.w.a.187.6

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [300,2,Mod(67,300)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(300, base_ring=CyclotomicField(20)) chi = DirichletCharacter(H, H._module([10, 0, 13])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("300.67"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.w (of order $20$, degree $8$, 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:	$2.39551206064$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			187.6
Character	$\chi$	$=$	300.187
Dual form			300.2.w.a.223.6

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.18527 + 0.771451i) q^{2} +(0.453990 - 0.891007i) q^{3} +(0.809726 - 1.82875i) q^{4} +(1.83777 - 1.27382i) q^{5} +(0.149267 + 1.40631i) q^{6} +(0.338407 - 0.338407i) q^{7} +(0.451051 + 2.79223i) q^{8} +(-0.587785 - 0.809017i) q^{9} +(-1.19556 + 2.92757i) q^{10} +(0.00542328 - 0.00746451i) q^{11} +(-1.26182 - 1.55171i) q^{12} +(0.444902 - 2.80900i) q^{13} +(-0.140039 + 0.662167i) q^{14} +(-0.300652 - 2.21576i) q^{15} +(-2.68869 - 2.96158i) q^{16} +(-3.79071 + 1.93146i) q^{17} +(1.32080 + 0.505455i) q^{18} +(2.23243 - 6.87071i) q^{19} +(-0.841414 - 4.39227i) q^{20} +(-0.147889 - 0.455156i) q^{21} +(-0.000669546 + 0.0130312i) q^{22} +(0.917368 + 5.79204i) q^{23} +(2.69267 + 0.865757i) q^{24} +(1.75477 - 4.68196i) q^{25} +(1.63968 + 3.67265i) q^{26} +(-0.987688 + 0.156434i) q^{27} +(-0.344846 - 0.892879i) q^{28} +(3.22482 - 1.04781i) q^{29} +(2.06571 + 2.39434i) q^{30} +(4.34142 + 1.41061i) q^{31} +(5.47153 + 1.43608i) q^{32} +(-0.00418881 - 0.00822099i) q^{33} +(3.00298 - 5.21365i) q^{34} +(0.190844 - 1.05298i) q^{35} +(-1.95544 + 0.419833i) q^{36} +(-6.42204 - 1.01715i) q^{37} +(2.65439 + 9.86585i) q^{38} +(-2.30086 - 1.67167i) q^{39} +(4.38572 + 4.55691i) q^{40} +(5.70832 - 4.14734i) q^{41} +(0.526419 + 0.425393i) q^{42} +(6.48875 + 6.48875i) q^{43} +(-0.00925938 - 0.0159621i) q^{44} +(-2.11075 - 0.738052i) q^{45} +(-5.55560 - 6.15742i) q^{46} +(-3.91751 - 1.99607i) q^{47} +(-3.85943 + 1.05111i) q^{48} +6.77096i q^{49} +(1.53203 + 6.90311i) q^{50} +4.25442i q^{51} +(-4.77673 - 3.08814i) q^{52} +(-0.604811 - 0.308167i) q^{53} +(1.05000 - 0.947370i) q^{54} +(0.000458296 - 0.0206263i) q^{55} +(1.09755 + 0.792271i) q^{56} +(-5.10835 - 5.10835i) q^{57} +(-3.01394 + 3.72972i) q^{58} +(-2.04303 + 1.48435i) q^{59} +(-4.29553 - 1.24434i) q^{60} +(-7.27946 - 5.28884i) q^{61} +(-6.23397 + 1.67724i) q^{62} +(-0.472687 - 0.0748663i) q^{63} +(-7.59311 + 2.51888i) q^{64} +(-2.76053 - 5.72902i) q^{65} +(0.0113070 + 0.00651263i) q^{66} +(4.59556 + 9.01929i) q^{67} +(0.462735 + 8.49624i) q^{68} +(5.57722 + 1.81215i) q^{69} +(0.586122 + 1.39529i) q^{70} +(-6.68849 + 2.17322i) q^{71} +(1.99384 - 2.00614i) q^{72} +(2.91467 - 0.461638i) q^{73} +(8.39652 - 3.74869i) q^{74} +(-3.37501 - 3.68908i) q^{75} +(-10.7572 - 9.64596i) q^{76} +(-0.000690764 - 0.00436131i) q^{77} +(4.01675 + 0.206381i) q^{78} +(0.730993 + 2.24976i) q^{79} +(-8.71370 - 2.01779i) q^{80} +(-0.309017 + 0.951057i) q^{81} +(-3.56643 + 9.31941i) q^{82} +(-3.36914 + 1.71666i) q^{83} +(-0.952118 - 0.0980988i) q^{84} +(-4.50611 + 8.37826i) q^{85} +(-12.6967 - 2.68516i) q^{86} +(0.530434 - 3.34903i) q^{87} +(0.0232888 + 0.0117762i) q^{88} +(-9.05282 + 12.4601i) q^{89} +(3.07118 - 0.753552i) q^{90} +(-0.800028 - 1.10114i) q^{91} +(11.3350 + 3.01232i) q^{92} +(3.22783 - 3.22783i) q^{93} +(6.18318 - 0.656287i) q^{94} +(-4.64936 - 15.4705i) q^{95} +(3.76358 - 4.22320i) q^{96} +(-8.12690 + 15.9499i) q^{97} +(-5.22347 - 8.02541i) q^{98} -0.00922664 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44}+ \cdots + 256 q^{98}+O(q^{100}) $ 240 * q + 12 * q^8 + 8 * q^10 + 8 * q^12 + 4 * q^13 + 20 * q^17 - 20 * q^20 - 12 * q^22 + 20 * q^25 + 4 * q^28 - 8 * q^30 - 20 * q^32 - 8 * q^33 - 4 * q^37 - 76 * q^38 - 92 * q^40 - 20 * q^42 - 140 * q^44 - 4 * q^45 - 16 * q^48 - 164 * q^50 - 172 * q^52 - 4 * q^53 - 120 * q^58 + 20 * q^60 - 44 * q^62 - 60 * q^64 - 20 * q^65 + 16 * q^68 - 44 * q^70 + 12 * q^72 - 44 * q^73 - 48 * q^77 + 24 * q^78 - 4 * q^80 + 60 * q^81 + 24 * q^82 + 80 * q^84 - 64 * q^85 + 60 * q^88 - 260 * q^89 + 48 * q^90 + 144 * q^92 - 64 * q^93 + 40 * q^94 - 20 * q^96 - 180 * q^97 + 256 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$1$	$-1$	$e\left(\frac{9}{20}\right)$

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 $

$2$	−1.18527	+	0.771451i	−0.838112	+	0.545498i
$2$	−1.18527	+	0.771451i	−0.838112	+	0.545498i
$3$	0.453990	−	0.891007i	0.262112	−	0.514423i
$3$	0.453990	−	0.891007i	0.262112	−	0.514423i
$4$	0.809726	−	1.82875i	0.404863	−	0.914377i
$5$	1.83777	−	1.27382i	0.821874	−	0.569669i
$5$	1.83777	−	1.27382i	0.821874	−	0.569669i
$6$	0.149267	+	1.40631i	0.0609380	+	0.574125i
$7$	0.338407	−	0.338407i	0.127906	−	0.127906i	−0.640256	−	0.768162i	$-0.721172\pi$
$7$	0.338407	−	0.338407i	0.127906	−	0.127906i	0.768162	+	0.640256i	$0.221172\pi$
$8$	0.451051	+	2.79223i	0.159471	+	0.987203i
$9$	−0.587785	−	0.809017i	−0.195928	−	0.269672i
$10$	−1.19556	+	2.92757i	−0.378069	+	0.925777i
$11$	0.00542328	−	0.00746451i	0.00163518	−	0.00225063i	−0.808199	−	0.588910i	$-0.799557\pi$
$11$	0.00542328	−	0.00746451i	0.00163518	−	0.00225063i	0.809834	+	0.586659i	$0.199557\pi$
$12$	−1.26182	−	1.55171i	−0.364257	−	0.447940i
$13$	0.444902	−	2.80900i	0.123394	−	0.779077i	−0.845931	−	0.533293i	$-0.820954\pi$
$13$	0.444902	−	2.80900i	0.123394	−	0.779077i	0.969324	−	0.245785i	$-0.0790456\pi$
$14$	−0.140039	+	0.662167i	−0.0374269	+	0.176972i
$15$	−0.300652	−	2.21576i	−0.0776281	−	0.572108i
$16$	−2.68869	−	2.96158i	−0.672172	−	0.740395i
$17$	−3.79071	+	1.93146i	−0.919383	+	0.468449i	−0.848595	−	0.529042i	$-0.822551\pi$
$17$	−3.79071	+	1.93146i	−0.919383	+	0.468449i	−0.0707875	+	0.997491i	$0.522551\pi$
$18$	1.32080	+	0.505455i	0.311316	+	0.119137i
$19$	2.23243	−	6.87071i	0.512154	−	1.57625i	−0.276246	−	0.961087i	$-0.589090\pi$
$19$	2.23243	−	6.87071i	0.512154	−	1.57625i	0.788400	−	0.615162i	$-0.210910\pi$
$20$	−0.841414	−	4.39227i	−0.188146	−	0.982141i
$21$	−0.147889	−	0.455156i	−0.0322721	−	0.0993232i
$22$	−0.000669546		0.0130312i	−0.000142748		0.00277827i
$23$	0.917368	+	5.79204i	0.191285	+	1.20772i	0.877230	+	0.480070i	$0.159389\pi$
$23$	0.917368	+	5.79204i	0.191285	+	1.20772i	−0.685946	+	0.727653i	$0.740611\pi$
$24$	2.69267	+	0.865757i	0.549639	+	0.176722i
$25$	1.75477	−	4.68196i	0.350954	−	0.936393i
$26$	1.63968	+	3.67265i	0.321568	+	0.720265i
$27$	−0.987688	+	0.156434i	−0.190081	+	0.0301058i
$28$	−0.344846	−	0.892879i	−0.0651698	−	0.168738i
$29$	3.22482	−	1.04781i	0.598834	−	0.194573i	0.00611340	−	0.999981i	$-0.498054\pi$
$29$	3.22482	−	1.04781i	0.598834	−	0.194573i	0.592720	+	0.805409i	$0.298054\pi$
$30$	2.06571	+	2.39434i	0.377145	+	0.437144i
$31$	4.34142	+	1.41061i	0.779742	+	0.253353i	0.671730	−	0.740796i	$-0.265552\pi$
$31$	4.34142	+	1.41061i	0.779742	+	0.253353i	0.108012	+	0.994150i	$0.465552\pi$
$32$	5.47153	+	1.43608i	0.967240	+	0.253866i
$33$	−0.00418881	−	0.00822099i	−0.000729177	−	0.00143109i
$34$	3.00298	−	5.21365i	0.515008	−	0.894134i
$35$	0.190844	−	1.05298i	0.0322585	−	0.177986i
$36$	−1.95544	+	0.419833i	−0.325906	+	0.0699721i
$37$	−6.42204	−	1.01715i	−1.05578	−	0.167219i	−0.395671	−	0.918392i	$-0.629488\pi$
$37$	−6.42204	−	1.01715i	−1.05578	−	0.167219i	−0.660105	+	0.751174i	$0.729488\pi$
$38$	2.65439	+	9.86585i	0.430599	+	1.60045i
$39$	−2.30086	−	1.67167i	−0.368432	−	0.267682i
$40$	4.38572	+	4.55691i	0.693444	+	0.720511i
$41$	5.70832	−	4.14734i	0.891490	−	0.647706i	−0.0447759	−	0.998997i	$-0.514257\pi$
$41$	5.70832	−	4.14734i	0.891490	−	0.647706i	0.936266	+	0.351291i	$0.114257\pi$
$42$	0.526419	+	0.425393i	0.0812282	+	0.0656396i
$43$	6.48875	+	6.48875i	0.989526	+	0.989526i	0.999946	−	0.0104199i	$-0.00331682\pi$
$43$	6.48875	+	6.48875i	0.989526	+	0.989526i	−0.0104199	+	0.999946i	$0.503317\pi$
$44$	−0.00925938	−	0.0159621i	−0.00139590	−	0.00240637i
$45$	−2.11075	−	0.738052i	−0.314652	−	0.110022i
$46$	−5.55560	−	6.15742i	−0.819129	−	0.907862i
$47$	−3.91751	−	1.99607i	−0.571428	−	0.291157i	0.144303	−	0.989534i	$-0.453906\pi$
$47$	−3.91751	−	1.99607i	−0.571428	−	0.291157i	−0.715731	+	0.698376i	$0.753906\pi$
$48$	−3.85943	+	1.05111i	−0.557060	+	0.151714i
$49$			6.77096i			0.967280i
$50$	1.53203	+	6.90311i	0.216662	+	0.976247i
$51$			4.25442i			0.595737i
$52$	−4.77673	−	3.08814i	−0.662413	−	0.428248i
$53$	−0.604811	−	0.308167i	−0.0830772	−	0.0423299i	0.411958	−	0.911203i	$-0.364845\pi$
$53$	−0.604811	−	0.308167i	−0.0830772	−	0.0423299i	−0.495035	+	0.868873i	$0.664845\pi$
$54$	1.05000	−	0.947370i	0.142886	−	0.128921i
$55$	0.000458296	−	0.0206263i	6.17966e−5	−	0.00278125i
$56$	1.09755	+	0.792271i	0.146666	+	0.105872i
$57$	−5.10835	−	5.10835i	−0.676617	−	0.676617i
$58$	−3.01394	+	3.72972i	−0.395750	+	0.489736i
$59$	−2.04303	+	1.48435i	−0.265979	+	0.193245i	−0.712779	−	0.701389i	$-0.752564\pi$
$59$	−2.04303	+	1.48435i	−0.265979	+	0.193245i	0.446800	+	0.894634i	$0.352564\pi$
$60$	−4.29553	−	1.24434i	−0.554551	−	0.160644i
$61$	−7.27946	−	5.28884i	−0.932039	−	0.677166i	0.0144522	−	0.999896i	$-0.495400\pi$
$61$	−7.27946	−	5.28884i	−0.932039	−	0.677166i	−0.946491	+	0.322730i	$0.895400\pi$
$62$	−6.23397	+	1.67724i	−0.791715	+	0.213009i
$63$	−0.472687	−	0.0748663i	−0.0595530	−	0.00943227i
$64$	−7.59311	+	2.51888i	−0.949138	+	0.314860i
$65$	−2.76053	−	5.72902i	−0.342402	−	0.710597i
$66$	0.0113070	+	0.00651263i	0.00139179	+	0.000801650i
$67$	4.59556	+	9.01929i	0.561437	+	1.10188i	0.980973	+	0.194143i	$0.0621926\pi$
$67$	4.59556	+	9.01929i	0.561437	+	1.10188i	−0.419537	+	0.907738i	$0.637807\pi$
$68$	0.462735	+	8.49624i	0.0561149	+	1.03032i
$69$	5.57722	+	1.81215i	0.671418	+	0.218157i
$70$	0.586122	+	1.39529i	0.0700550	+	0.166769i
$71$	−6.68849	+	2.17322i	−0.793777	+	0.257914i	−0.677712	−	0.735328i	$-0.737028\pi$
$71$	−6.68849	+	2.17322i	−0.793777	+	0.257914i	−0.116066	+	0.993242i	$0.537028\pi$
$72$	1.99384	−	2.00614i	0.234976	−	0.236426i
$73$	2.91467	−	0.461638i	0.341136	−	0.0540306i	0.0164838	−	0.999864i	$-0.494753\pi$
$73$	2.91467	−	0.461638i	0.341136	−	0.0540306i	0.324652	+	0.945834i	$0.394753\pi$
$74$	8.39652	−	3.74869i	0.976076	−	0.435776i
$75$	−3.37501	−	3.68908i	−0.389713	−	0.425978i
$76$	−10.7572	−	9.64596i	−1.23393	−	1.10647i
$77$	−0.000690764	−	0.00436131i	−7.87199e−5	−	0.000497018i
$78$	4.01675	+	0.206381i	0.454807	+	0.0233680i
$79$	0.730993	+	2.24976i	0.0822431	+	0.253118i	0.983720	−	0.179710i	$-0.0575158\pi$
$79$	0.730993	+	2.24976i	0.0822431	+	0.253118i	−0.901477	+	0.432828i	$0.857516\pi$
$80$	−8.71370	−	2.01779i	−0.974221	−	0.225596i
$81$	−0.309017	+	0.951057i	−0.0343352	+	0.105673i
$82$	−3.56643	+	9.31941i	−0.393846	+	1.02916i
$83$	−3.36914	+	1.71666i	−0.369811	+	0.188428i	−0.629013	−	0.777395i	$-0.716541\pi$
$83$	−3.36914	+	1.71666i	−0.369811	+	0.188428i	0.259201	+	0.965823i	$0.416541\pi$
$84$	−0.952118	−	0.0980988i	−0.103885	−	0.0107035i
$85$	−4.50611	+	8.37826i	−0.488756	+	0.908750i
$86$	−12.6967	−	2.68516i	−1.36912	−	0.289549i
$87$	0.530434	−	3.34903i	0.0568685	−	0.359053i
$88$	0.0232888	+	0.0117762i	0.00248259	+	0.00125534i
$89$	−9.05282	+	12.4601i	−0.959597	+	1.32077i	−0.0124672	+	0.999922i	$0.503969\pi$
$89$	−9.05282	+	12.4601i	−0.959597	+	1.32077i	−0.947130	+	0.320850i	$0.896031\pi$
$90$	3.07118	−	0.753552i	0.323731	−	0.0794314i
$91$	−0.800028	−	1.10114i	−0.0838657	−	0.115431i
$92$	11.3350	+	3.01232i	1.18176	+	0.314056i
$93$	3.22783	−	3.22783i	0.334710	−	0.334710i
$94$	6.18318	−	0.656287i	0.637746	−	0.0676908i
$95$	−4.64936	−	15.4705i	−0.477014	−	1.58724i
$96$	3.76358	−	4.22320i	0.384119	−	0.431029i
$97$	−8.12690	+	15.9499i	−0.825162	+	1.61947i	−0.0407999	+	0.999167i	$0.512991\pi$
$97$	−8.12690	+	15.9499i	−0.825162	+	1.61947i	−0.784362	+	0.620304i	$0.787009\pi$
$98$	−5.22347	−	8.02541i	−0.527650	−	0.810689i
$99$	−0.00922664			−0.000927312
$100$	−7.14128	−	7.00015i	−0.714128	−	0.700015i
$101$	18.2367			1.81462			0.907310	−	0.420462i	$-0.138132\pi$
$101$	18.2367			1.81462			0.907310	+	0.420462i	$0.138132\pi$
$102$	−3.28207	−	5.04263i	−0.324974	−	0.499295i
$103$	4.91489	−	9.64602i	0.484279	−	0.950451i	−0.511554	−	0.859251i	$-0.670930\pi$
$103$	4.91489	−	9.64602i	0.484279	−	0.950451i	0.995833	−	0.0911996i	$-0.0290701\pi$
$104$	8.04406	−	0.0247341i	0.788785	−	0.00242538i
$105$	−0.851572	−	0.648086i	−0.0831049	−	0.0632468i
$106$	0.954599	−	0.101322i	0.0927189	−	0.00984124i
$107$	−3.97407	+	3.97407i	−0.384188	+	0.384188i	−0.872608	−	0.488421i	$-0.837573\pi$
$107$	−3.97407	+	3.97407i	−0.384188	+	0.384188i	0.488421	+	0.872608i	$0.337573\pi$
$108$	−0.513677	+	1.93291i	−0.0494286	+	0.185994i
$109$	9.21485	+	12.6831i	0.882622	+	1.21483i	0.975688	+	0.219165i	$0.0703333\pi$
$109$	9.21485	+	12.6831i	0.882622	+	1.21483i	−0.0930657	+	0.995660i	$0.529667\pi$
$110$	0.0153690	+	0.0248013i	0.00146537	+	0.00236471i
$111$	−3.82183	+	5.26030i	−0.362752	+	0.499285i
$112$	−1.91209	−	0.0923493i	−0.180675	−	0.00872619i
$113$	−0.776105	+	4.90013i	−0.0730098	+	0.460966i	0.923915	+	0.382598i	$0.124971\pi$
$113$	−0.776105	+	4.90013i	−0.0730098	+	0.460966i	−0.996925	+	0.0783672i	$0.975029\pi$
$114$	9.99561	+	2.11393i	0.936174	+	0.197987i
$115$	9.06391	+	9.47585i	0.845214	+	0.883627i
$116$	0.695038	−	6.74584i	0.0645327	−	0.626335i
$117$	−2.53404	+	1.29116i	−0.234272	+	0.119368i
$118$	1.27644	−	3.33544i	0.117505	−	0.307052i
$119$	−0.629182	+	1.93642i	−0.0576770	+	0.177512i
$120$	6.05131	−	1.83891i	0.552407	−	0.167869i
$121$	3.39916	+	10.4615i	0.309015	+	0.951049i
$122$	12.7082	+	0.652948i	1.15055	+	0.0591151i
$123$	−1.10378	−	6.96901i	−0.0995247	−	0.628374i
$124$	6.09502	−	6.79718i	0.547349	−	0.610405i
$125$	−2.73911	−	10.8396i	−0.244994	−	0.969525i
$126$	0.618017	−	0.275918i	0.0550574	−	0.0245808i
$127$	−3.89805	+	0.617390i	−0.345896	+	0.0547845i	−0.326965	−	0.945036i	$-0.606026\pi$
$127$	−3.89805	+	0.617390i	−0.345896	+	0.0547845i	−0.0189303	+	0.999821i	$0.506026\pi$
$128$	7.05668	−	8.84326i	0.623729	−	0.781641i
$129$	8.72736	−	2.83569i	0.768401	−	0.249669i
$130$	7.69163	+	4.66081i	0.674601	+	0.408780i
$131$	4.49851	+	1.46166i	0.393037	+	0.127705i	0.498866	−	0.866679i	$-0.333750\pi$
$131$	4.49851	+	1.46166i	0.393037	+	0.127705i	−0.105830	+	0.994384i	$0.533750\pi$
$132$	−0.0184260	+	0.00100354i	−0.00160377	+	8.73472e-5i
$133$	−1.56963	−	3.08056i	−0.136104	−	0.267119i
$134$	−12.4049	−	7.14504i	−1.07162	−	0.617237i
$135$	−1.61587	+	1.54563i	−0.139072	+	0.133026i
$136$	−7.10290	−	9.71335i	−0.609069	−	0.832913i
$137$	2.52679	+	0.400204i	0.215878	+	0.0341917i	0.263437	−	0.964677i	$-0.415144\pi$
$137$	2.52679	+	0.400204i	0.215878	+	0.0341917i	−0.0475584	+	0.998868i	$0.515144\pi$
$138$	−8.00849	+	2.15467i	−0.681728	+	0.183418i
$139$	−9.10494	−	6.61513i	−0.772271	−	0.561088i	0.130378	−	0.991464i	$-0.458381\pi$
$139$	−9.10494	−	6.61513i	−0.772271	−	0.561088i	−0.902649	+	0.430377i	$0.858381\pi$
$140$	−1.77111	−	1.20163i	−0.149686	−	0.101556i
$141$	−3.55703	+	2.58433i	−0.299556	+	0.217640i
$142$	6.25112	−	7.73569i	0.524583	−	0.649165i
$143$	−0.0185550	−	0.0185550i	−0.00155165	−	0.00155165i
$144$	−0.815599	+	3.91597i	−0.0679666	+	0.326331i
$145$	4.59174	−	6.03346i	0.381324	−	0.501051i
$146$	−3.09853	+	2.79569i	−0.256436	+	0.231373i
$147$	6.03297	+	3.07395i	0.497591	+	0.253535i
$148$	−7.06021	+	10.9207i	−0.580346	+	0.897677i
$149$		−	1.04684i		−	0.0857604i	−0.999080	−	0.0428802i	$-0.986347\pi$
$149$		−	1.04684i		−	0.0857604i	0.999080	−	0.0428802i	$-0.0136534\pi$
$150$	6.84624	+	1.76890i	0.558993	+	0.144430i
$151$		−	2.66118i		−	0.216564i	−0.994120	−	0.108282i	$-0.965465\pi$
$151$		−	2.66118i		−	0.216564i	0.994120	−	0.108282i	$-0.0345349\pi$
$152$	20.1916	+	3.13442i	1.63775	+	0.254235i
$153$	3.79071	+	1.93146i	0.306461	+	0.156150i
$154$	0.00418328	+	0.00463644i	0.000337098	+	0.000373615i
$155$	9.77538	−	2.93780i	0.785177	−	0.235970i
$156$	−4.92014	+	2.85411i	−0.393927	+	0.228512i
$157$	3.72092	+	3.72092i	0.296962	+	0.296962i	0.839823	−	0.542861i	$-0.182659\pi$
$157$	3.72092	+	3.72092i	0.296962	+	0.296962i	−0.542861	+	0.839823i	$0.682659\pi$
$158$	−2.60201	−	2.10265i	−0.207005	−	0.167278i
$159$	−0.549157	+	0.398986i	−0.0435510	+	0.0316416i
$160$	11.8847	−	4.33056i	0.939569	−	0.342361i
$161$	2.27051	+	1.64962i	0.178941	+	0.130008i
$162$	−0.367425	−	1.36565i	−0.0288677	−	0.107296i
$163$	18.2514	+	2.89074i	1.42956	+	0.226420i	0.822740	−	0.568418i	$-0.192444\pi$
$163$	18.2514	+	2.89074i	1.42956	+	0.226420i	0.606821	+	0.794838i	$0.292444\pi$
$164$	−2.96229	−	13.7973i	−0.231316	−	1.07739i
$165$	−0.0181701	−	0.00977249i	−0.00141454	−	0.000760787i
$166$	2.66902	−	4.63384i	0.207156	−	0.359656i
$167$	−9.01487	−	17.6927i	−0.697592	−	1.36910i	−0.919132	−	0.393950i	$-0.871108\pi$
$167$	−9.01487	−	17.6927i	−0.697592	−	1.36910i	0.221540	−	0.975151i	$-0.428892\pi$
$168$	1.20419	−	0.618239i	0.0929057	−	0.0476982i
$169$	4.67117	+	1.51776i	0.359321	+	0.116750i
$170$	−1.12247	−	13.4067i	−0.0860894	−	1.02825i
$171$	−6.87071	+	2.23243i	−0.525416	+	0.170718i
$172$	17.1205	−	6.61222i	1.30542	−	0.504177i
$173$	−5.74053	+	0.909210i	−0.436444	+	0.0691260i	−0.370791	−	0.928716i	$-0.620913\pi$
$173$	−5.74053	+	0.909210i	−0.436444	+	0.0691260i	−0.0656537	+	0.997842i	$0.520913\pi$
$174$	1.95490	+	4.37870i	0.148201	+	0.331949i
$175$	−0.990581	−	2.17823i	−0.0748809	−	0.164659i
$176$	−0.0366882	+	0.00400823i	−0.00276548	+	0.000302132i
$177$	0.395047	+	2.49423i	0.0296935	+	0.187478i
$178$	1.11764	−	21.7524i	0.0837708	−	1.63041i
$179$	7.03355	+	21.6470i	0.525712	+	1.61798i	0.762903	+	0.646513i	$0.223774\pi$
$179$	7.03355	+	21.6470i	0.525712	+	1.61798i	−0.237190	+	0.971463i	$0.576226\pi$
$180$	−3.05885	+	3.26243i	−0.227993	+	0.243167i
$181$	1.43751	−	4.42421i	0.106849	−	0.328849i	−0.883311	−	0.468788i	$-0.844691\pi$
$181$	1.43751	−	4.42421i	0.106849	−	0.328849i	0.990160	+	0.139939i	$0.0446908\pi$
$182$	1.79773	+	0.687969i	0.133256	+	0.0509957i
$183$	−8.01719	+	4.08496i	−0.592648	+	0.301969i
$184$	−15.7589	+	5.17401i	−1.16176	+	0.381433i
$185$	−13.0979	+	6.31122i	−0.962974	+	0.464010i
$186$	−1.33573	+	6.31596i	−0.0979407	+	0.463108i
$187$	−0.00614067	+	0.0387707i	−0.000449050	+	0.00283519i
$188$	−6.82244	+	5.54790i	−0.497578	+	0.404622i
$189$	−0.281302	+	0.387179i	−0.0204617	+	0.0281631i
$190$	17.4455	+	14.7499i	1.26563	+	1.07007i
$191$	−13.5285	−	18.6203i	−0.978885	−	1.34732i	−0.937428	−	0.348179i	$-0.886800\pi$
$191$	−13.5285	−	18.6203i	−0.978885	−	1.34732i	−0.0414563	−	0.999140i	$-0.513200\pi$
$192$	−1.20286	+	7.90905i	−0.0868090	+	0.570787i
$193$	16.4997	−	16.4997i	1.18767	−	1.18767i	0.209964	−	0.977709i	$-0.432665\pi$
$193$	16.4997	−	16.4997i	1.18767	−	1.18767i	0.977709	−	0.209964i	$-0.0673347\pi$
$194$	−2.67203	−	25.1745i	−0.191841	−	1.80742i
$195$	−6.35785	−	0.141265i	−0.455295	−	0.0101162i
$196$	12.3824	+	5.48263i	0.884459	+	0.391616i
$197$	−3.30435	+	6.48515i	−0.235425	+	0.462048i	−0.978248	−	0.207441i	$-0.933487\pi$
$197$	−3.30435	+	6.48515i	−0.235425	+	0.462048i	0.742823	+	0.669488i	$0.233487\pi$
$198$	0.0109360	−	0.00711790i	0.000777191	−	0.000505847i
$199$	−18.5916			−1.31793			−0.658963	−	0.752175i	$-0.729005\pi$
$199$	−18.5916			−1.31793			−0.658963	+	0.752175i	$0.729005\pi$
$200$	13.8646	+	2.78792i	0.980376	+	0.197136i
$201$	10.1226			0.713992
$202$	−21.6154	+	14.0687i	−1.52085	+	0.989872i
$203$	0.736715	−	1.44588i	0.0517072	−	0.101481i
$204$	7.78028	+	3.44491i	0.544729	+	0.241192i
$205$	5.20761	−	14.8932i	0.363715	−	1.04019i
$206$	1.61596	+	15.2247i	0.112589	+	1.06076i
$207$	4.14664	−	4.14664i	0.288211	−	0.288211i
$208$	−9.51530	+	6.23492i	−0.659767	+	0.432314i
$209$	−0.0391794	−	0.0539258i	−0.00271009	−	0.00373012i
$210$	1.50931	+	0.111211i	0.104152	+	0.00767427i
$211$	−14.5423	+	20.0157i	−1.00113	+	1.37794i	−0.0765018	+	0.997069i	$0.524375\pi$
$211$	−14.5423	+	20.0157i	−1.00113	+	1.37794i	−0.924629	+	0.380869i	$0.875625\pi$
$212$	−1.05329	+	0.856520i	−0.0723404	+	0.0588260i
$213$	−1.10016	+	6.94611i	−0.0753814	+	0.475939i
$214$	1.64454	−	7.77614i	0.112419	−	0.531566i
$215$	20.1903	+	3.65932i	1.37697	+	0.249563i
$216$	−0.882299	−	2.68729i	−0.0600329	−	0.182847i
$217$	1.94653	−	0.991804i	0.132139	−	0.0673281i
$218$	−20.7065	−	7.92414i	−1.40242	−	0.536690i
$219$	0.911908	−	2.80656i	0.0616210	−	0.189650i
$220$	−0.0373493	−	0.0175398i	−0.00251809	−	0.00118253i
$221$	3.73899	+	11.5074i	0.251512	+	0.774074i
$222$	0.471835	−	9.18323i	0.0316675	−	0.616338i
$223$	−1.09479	−	6.91226i	−0.0733129	−	0.462879i	−0.996846	−	0.0793606i	$-0.974712\pi$
$223$	−1.09479	−	6.91226i	−0.0733129	−	0.462879i	0.923533	−	0.383519i	$-0.125288\pi$
$224$	2.33758	−	1.36562i	0.156186	−	0.0912446i
$225$	−4.81922	+	1.33235i	−0.321281	+	0.0888233i
$226$	−2.86032	−	6.40670i	−0.190266	−	0.426167i
$227$	14.5565	−	2.30553i	0.966151	−	0.153023i	0.346629	−	0.938002i	$-0.387326\pi$
$227$	14.5565	−	2.30553i	0.966151	−	0.153023i	0.619522	+	0.784979i	$0.287326\pi$
$228$	−13.4783	+	5.20555i	−0.892621	+	0.344746i
$229$	−25.5635	+	8.30610i	−1.68929	+	0.548882i	−0.986677	−	0.162693i	$-0.947982\pi$
$229$	−25.5635	+	8.30610i	−1.68929	+	0.548882i	−0.702610	+	0.711575i	$0.747982\pi$
$230$	−18.0533	−	4.23907i	−1.19040	−	0.279516i
$231$	−0.00419956	−	0.00136452i	−0.000276311	−	8.97788e-5i
$232$	4.38028	+	8.53182i	0.287579	+	0.560141i
$233$	−9.83267	−	19.2977i	−0.644160	−	1.26423i	−0.950029	−	0.312161i	$-0.898947\pi$
$233$	−9.83267	−	19.2977i	−0.644160	−	1.26423i	0.305870	−	0.952073i	$-0.401053\pi$
$234$	2.00745	−	3.48526i	0.131231	−	0.227838i
$235$	−9.74211	+	1.32189i	−0.635505	+	0.0862304i
$236$	1.06021	+	4.93811i	0.0690139	+	0.321443i
$237$	2.33642	+	0.370052i	0.151767	+	0.0240375i
$238$	−0.748106	−	2.78057i	−0.0484925	−	0.180237i
$239$	8.98000	+	6.52436i	0.580868	+	0.422025i	0.839037	−	0.544074i	$-0.183119\pi$
$239$	8.98000	+	6.52436i	0.580868	+	0.422025i	−0.258169	+	0.966100i	$0.583119\pi$
$240$	−5.75380	+	6.84790i	−0.371406	+	0.442030i
$241$	1.02024	−	0.741251i	0.0657197	−	0.0477481i	−0.554440	−	0.832223i	$-0.687068\pi$
$241$	1.02024	−	0.741251i	0.0657197	−	0.0477481i	0.620160	+	0.784475i	$0.287068\pi$
$242$	−12.0995	−	9.77746i	−0.777785	−	0.628519i
$243$	0.707107	+	0.707107i	0.0453609	+	0.0453609i
$244$	−15.5664	+	9.02983i	−0.996534	+	0.578076i
$245$	8.62498	+	12.4434i	0.551030	+	0.794983i
$246$	6.68453	+	7.40863i	0.426190	+	0.472357i
$247$	−18.3066	−	9.32770i	−1.16482	−	0.593507i
$248$	−1.98055	+	12.7585i	−0.125765	+	0.810166i
$249$			3.78128i			0.239629i
$250$	11.6088	+	10.7348i	0.734206	+	0.678926i
$251$			1.61115i			0.101695i	0.998706	+	0.0508475i	$0.0161923\pi$
$251$			1.61115i			0.101695i	−0.998706	+	0.0508475i	$0.983808\pi$
$252$	−0.519659	+	0.803808i	−0.0327355	+	0.0506351i
$253$	0.0482098	+	0.0245641i	0.00303093	+	0.00154433i
$254$	4.14395	−	3.73893i	0.260014	−	0.234601i
$255$	5.41936	+	7.81862i	0.339373	+	0.489621i
$256$	−1.54193	+	15.9255i	−0.0963704	+	0.995346i
$257$	−21.7848	−	21.7848i	−1.35890	−	1.35890i	−0.875276	−	0.483624i	$-0.839320\pi$
$257$	−21.7848	−	21.7848i	−1.35890	−	1.35890i	−0.483624	−	0.875276i	$-0.660680\pi$
$258$	−8.15667	+	10.0938i	−0.507812	+	0.628412i
$259$	−2.51747	+	1.82905i	−0.156428	+	0.113652i
$260$	−12.7122	+	0.409405i	−0.788380	+	0.0253902i
$261$	−2.74319	−	1.99305i	−0.169799	−	0.123366i
$262$	−6.45954	+	1.73793i	−0.399072	+	0.107370i
$263$	−17.8870	−	2.83302i	−1.10296	−	0.174691i	−0.421700	−	0.906735i	$-0.638567\pi$
$263$	−17.8870	−	2.83302i	−1.10296	−	0.174691i	−0.681257	+	0.732044i	$0.738567\pi$
$264$	0.0210655	−	0.0154042i	0.00129649	−	0.000948063i
$265$	−1.50405	+	0.204081i	−0.0923930	+	0.0125366i
$266$	4.23693	+	2.44041i	0.259783	+	0.149631i
$267$	6.99217	+	13.7229i	0.427914	+	0.839828i
$268$	20.2152	−	1.10099i	1.23484	−	0.0672537i
$269$	−4.11734	−	1.33780i	−0.251038	−	0.0815673i	0.180795	−	0.983521i	$-0.442133\pi$
$269$	−4.11734	−	1.33780i	−0.251038	−	0.0815673i	−0.431833	+	0.901954i	$0.642133\pi$
$270$	0.722868	−	3.07855i	0.0439923	−	0.187355i
$271$	18.2185	−	5.91954i	1.10669	−	0.359587i	0.302019	−	0.953302i	$-0.402339\pi$
$271$	18.2185	−	5.91954i	1.10669	−	0.359587i	0.804675	+	0.593715i	$0.202339\pi$
$272$	15.9122	+	6.03340i	0.964820	+	0.365829i
$273$	−1.34433	+	0.212921i	−0.0813626	+	0.0128866i
$274$	−3.30366	+	1.47494i	−0.199582	+	0.0891047i
$275$	−0.0254319	−	0.0384901i	−0.00153360	−	0.00232104i
$276$	7.83000	−	8.73202i	0.471310	−	0.525606i
$277$	−0.838827	−	5.29615i	−0.0504003	−	0.318215i	−0.999989	−	0.00471597i	$-0.998499\pi$
$277$	−0.838827	−	5.29615i	−0.0504003	−	0.318215i	0.949589	−	0.313499i	$-0.101501\pi$
$278$	15.8951	+	0.816689i	0.953322	+	0.0489818i
$279$	−1.41061	−	4.34142i	−0.0844512	−	0.259914i
$280$	3.02625	+	0.0579310i	0.180853	+	0.00346204i
$281$	−0.313860	+	0.965962i	−0.0187233	+	0.0576245i	−0.959982	−	0.280063i	$-0.909645\pi$
$281$	−0.313860	+	0.965962i	−0.0187233	+	0.0576245i	0.941258	+	0.337687i	$0.109645\pi$
$282$	2.22235	−	5.80720i	0.132339	−	0.345814i
$283$	−1.23867	+	0.631135i	−0.0736314	+	0.0375171i	−0.490418	−	0.871487i	$-0.663156\pi$
$283$	−1.23867	+	0.631135i	−0.0736314	+	0.0375171i	0.416787	+	0.909004i	$0.363156\pi$
$284$	−1.44156	+	13.9913i	−0.0855406	+	0.830232i
$285$	−15.8951	−	2.88084i	−0.941542	−	0.170646i
$286$	0.0363069	+	0.00767839i	0.00214687	+	0.000454033i
$287$	0.528247	−	3.33522i	0.0311814	−	0.196872i
$288$	−2.05427	−	5.27067i	−0.121049	−	0.310577i
$289$	0.646596	−	0.889963i	0.0380351	−	0.0523508i
$290$	−0.787937	+	10.6936i	−0.0462692	+	0.627948i
$291$	10.5220	+	14.4822i	0.616808	+	0.848964i
$292$	1.51586	−	5.70401i	0.0887089	−	0.333802i
$293$	7.08403	−	7.08403i	0.413853	−	0.413853i	−0.469225	−	0.883079i	$-0.655467\pi$
$293$	7.08403	−	7.08403i	0.413853	−	0.413853i	0.883079	+	0.469225i	$0.155467\pi$
$294$	−9.52210	+	1.01068i	−0.555340	+	0.0589441i
$295$	−1.86382	+	5.33033i	−0.108516	+	0.310344i
$296$	−0.0565480	−	18.3906i	−0.00328678	−	1.06893i
$297$	−0.00418881	+	0.00822099i	−0.000243059	+	0.000477030i
$298$	0.807585	+	1.24079i	0.0467821	+	0.0718768i
$299$	16.6780			0.964513
$300$	−9.47926	+	3.18492i	−0.547285	+	0.183882i
$301$	4.39168			0.253132
$302$	2.05297	+	3.15421i	0.118135	+	0.181505i
$303$	8.27929	−	16.2490i	0.475633	−	0.933482i
$304$	−26.3505	+	11.8617i	−1.51130	+	0.680313i
$305$	−20.1150	−	0.446934i	−1.15178	−	0.0255914i
$306$	−5.98305	+	0.635044i	−0.342028	+	0.0363031i
$307$	7.18265	−	7.18265i	0.409935	−	0.409935i	−0.471781	−	0.881716i	$-0.656389\pi$
$307$	7.18265	−	7.18265i	0.409935	−	0.409935i	0.881716	+	0.471781i	$0.156389\pi$
$308$	−0.00853510	−	0.00226823i	−0.000486333	−	0.000129244i
$309$	−6.36335	−	8.75841i	−0.361999	−	0.498248i
$310$	−9.32008	+	11.0233i	−0.529345	+	0.626082i
$311$	13.8607	−	19.0776i	0.785967	−	1.08179i	−0.208631	−	0.977994i	$-0.566901\pi$
$311$	13.8607	−	19.0776i	0.785967	−	1.08179i	0.994599	−	0.103797i	$-0.0330991\pi$
$312$	3.62989	−	7.17854i	0.205502	−	0.406405i
$313$	2.12973	−	13.4466i	0.120379	−	0.760045i	−0.851463	−	0.524414i	$-0.824284\pi$
$313$	2.12973	−	13.4466i	0.120379	−	0.760045i	0.971843	−	0.235631i	$-0.0757156\pi$
$314$	−7.28081	−	1.53979i	−0.410880	−	0.0868951i
$315$	−0.964055	+	0.464531i	−0.0543183	+	0.0261734i
$316$	4.70617	+	0.484887i	0.264743	+	0.0272770i
$317$	15.3739	−	7.83338i	0.863483	−	0.439967i	0.0346084	−	0.999401i	$-0.488982\pi$
$317$	15.3739	−	7.83338i	0.863483	−	0.439967i	0.828875	+	0.559434i	$0.188982\pi$
$318$	0.343101	−	0.896553i	0.0192401	−	0.0502762i
$319$	0.00966773	−	0.0297542i	0.000541289	−	0.00166592i
$320$	−10.7458	+	14.3014i	−0.600706	+	0.799470i
$321$	1.73673	+	5.34511i	0.0969349	+	0.298335i
$322$	−3.96376	−	0.203658i	−0.220892	−	0.0113494i
$323$	4.80804	+	30.3568i	0.267526	+	1.68909i
$324$	1.48903	+	1.33521i	0.0827239	+	0.0741784i
$325$	−12.3709	−	7.01217i	−0.686217	−	0.388965i
$326$	−23.8629	+	10.6538i	−1.32164	+	0.590058i
$327$	15.4842	−	2.45246i	0.856279	−	0.135621i
$328$	14.1551	+	14.0683i	0.781583	+	0.776792i
$329$	−2.00120	+	0.650228i	−0.110330	+	0.0358482i
$330$	0.0290755	−	0.00243432i	0.00160055	−	0.000134005i
$331$	20.8211	+	6.76518i	1.14443	+	0.371848i	0.819042	−	0.573733i	$-0.194505\pi$
$331$	20.8211	+	6.76518i	1.14443	+	0.371848i	0.325387	+	0.945581i	$0.394505\pi$
$332$	0.411274	+	7.55136i	0.0225716	+	0.414435i
$333$	2.95189	+	5.79340i	0.161762	+	0.317476i
$334$	24.3341	+	14.0161i	1.33150	+	0.766925i
$335$	19.9345	+	10.7214i	1.08914	+	0.585775i
$336$	−0.950354	+	1.66176i	−0.0518460	+	0.0906563i
$337$	31.0160	+	4.91245i	1.68955	+	0.267598i	0.925826	−	0.377949i	$-0.123371\pi$
$337$	31.0160	+	4.91245i	1.68955	+	0.267598i	0.763721	+	0.645547i	$0.223371\pi$
$338$	−6.70747	+	1.80463i	−0.364838	+	0.0981590i
$339$	4.01370	+	2.91613i	0.217995	+	0.158382i
$340$	11.6731	+	15.0247i	0.633061	+	0.814827i
$341$	0.0340743	−	0.0247564i	0.00184522	−	0.00134063i
$342$	6.42143	−	7.94645i	0.347231	−	0.429695i
$343$	4.66019	+	4.66019i	0.251626	+	0.251626i
$344$	−15.1913	+	21.0449i	−0.819062	+	1.13466i
$345$	12.5580	−	3.77406i	0.676099	−	0.203189i
$346$	6.10266	−	5.50620i	0.328081	−	0.296015i
$347$	−27.9531	−	14.2428i	−1.50060	−	0.764594i	−0.505440	−	0.862862i	$-0.668670\pi$
$347$	−27.9531	−	14.2428i	−1.50060	−	0.764594i	−0.995160	+	0.0982679i	$0.968670\pi$
$348$	−5.69504	−	3.68183i	−0.305286	−	0.197367i
$349$		−	32.7545i		−	1.75331i	−0.481121	−	0.876654i	$-0.659770\pi$
$349$		−	32.7545i		−	1.75331i	0.481121	−	0.876654i	$-0.340230\pi$
$350$	2.85451	+	1.81761i	0.152580	+	0.0971553i
$351$			2.84402i			0.151802i
$352$	0.0403933	−	0.0330540i	0.00215297	−	0.00176179i
$353$	11.6240	+	5.92270i	0.618680	+	0.315233i	0.735092	−	0.677968i	$-0.237139\pi$
$353$	11.6240	+	5.92270i	0.618680	+	0.315233i	−0.116411	+	0.993201i	$0.537139\pi$
$354$	−2.39241	−	2.65157i	−0.127155	−	0.140929i
$355$	−9.52358	+	12.5138i	−0.505459	+	0.664163i
$356$	15.4562	+	26.6447i	0.819179	+	1.41217i
$357$	1.43972	+	1.43972i	0.0761982	+	0.0761982i
$358$	−25.0363	−	20.2315i	−1.32321	−	1.06927i
$359$	−9.36163	+	6.80162i	−0.494088	+	0.358976i	−0.806754	−	0.590887i	$-0.798778\pi$
$359$	−9.36163	+	6.80162i	−0.494088	+	0.358976i	0.312666	+	0.949863i	$0.398778\pi$
$360$	1.10875	−	6.22661i	0.0584365	−	0.328171i
$361$	−26.8516	−	19.5088i	−1.41324	−	1.02678i
$362$	1.70922	+	6.35285i	0.0898347	+	0.333898i
$363$	10.8645	+	1.72077i	0.570238	+	0.0903168i
$364$	−2.66152	+	0.571429i	−0.139502	+	0.0299510i
$365$	4.76843	−	4.56114i	0.249591	−	0.238741i
$366$	6.35118	−	11.0267i	0.331982	−	0.576372i
$367$	−3.05019	−	5.98633i	−0.159219	−	0.312484i	0.797591	−	0.603198i	$-0.206107\pi$
$367$	−3.05019	−	5.98633i	−0.159219	−	0.312484i	−0.956810	+	0.290714i	$0.906107\pi$
$368$	14.6871	−	18.2898i	0.765616	−	0.953423i
$369$	−6.71054	−	2.18039i	−0.349337	−	0.113506i
$370$	10.6557	−	17.5849i	0.553963	−	0.914194i
$371$	−0.308958	+	0.100386i	−0.0160403	+	0.00521180i
$372$	−3.28925	−	8.51656i	−0.170540	−	0.441563i
$373$	−7.76622	+	1.23005i	−0.402120	+	0.0636895i	−0.354219	−	0.935163i	$-0.615253\pi$
$373$	−7.76622	+	1.23005i	−0.402120	+	0.0636895i	−0.0479009	+	0.998852i	$0.515253\pi$
$374$	−0.0226313	−	0.0506909i	−0.00117024	−	0.00262116i
$375$	−10.9017	−	2.48051i	−0.562961	−	0.128093i
$376$	3.80650	−	11.8389i	0.196305	−	0.610546i
$377$	−1.50856	−	9.52469i	−0.0776950	−	0.490547i
$378$	0.0347289	−	0.675922i	0.00178626	−	0.0347657i
$379$	−5.05817	−	15.5675i	−0.259821	−	0.799646i	−0.992841	−	0.119440i	$-0.961890\pi$
$379$	−5.05817	−	15.5675i	−0.259821	−	0.799646i	0.733021	−	0.680206i	$-0.238110\pi$
$380$	−32.0564	−	4.02431i	−1.64446	−	0.206443i
$381$	−1.21958	+	3.75347i	−0.0624809	+	0.192296i
$382$	30.3995	+	11.6335i	1.55537	+	0.595224i
$383$	−21.7577	+	11.0861i	−1.11177	+	0.566473i	−0.910685	−	0.413102i	$-0.864445\pi$
$383$	−21.7577	+	11.0861i	−1.11177	+	0.566473i	−0.201081	+	0.979575i	$0.564445\pi$
$384$	−4.67573	−	10.3023i	−0.238608	−	0.525737i
$385$	−0.00682499	−	0.00713517i	−0.000347833	−	0.000363642i
$386$	−6.82787	+	32.2853i	−0.347529	+	1.64328i
$387$	1.43552	−	9.06351i	0.0729715	−	0.460724i
$388$	22.5880	+	27.7772i	1.14673	+	1.41017i
$389$	5.31656	−	7.31762i	0.269560	−	0.371018i	−0.652681	−	0.757633i	$-0.726356\pi$
$389$	5.31656	−	7.31762i	0.269560	−	0.371018i	0.922241	+	0.386615i	$0.126356\pi$
$390$	7.64474	−	4.73733i	0.387107	−	0.239884i
$391$	−14.6646	−	20.1841i	−0.741620	−	1.02075i
$392$	−18.9061	+	3.05405i	−0.954902	+	0.154253i
$393$	3.34463	−	3.34463i	0.168714	−	0.168714i
$394$	−1.08643	−	10.2358i	−0.0547337	−	0.515672i
$395$	4.20919	+	3.20339i	0.211787	+	0.161180i
$396$	−0.00747105	+	0.0168733i	−0.000375434	+	0.000847913i
$397$	−6.40609	+	12.5727i	−0.321512	+	0.631004i	−0.994034	−	0.109074i	$-0.965211\pi$
$397$	−6.40609	+	12.5727i	−0.321512	+	0.631004i	0.672521	+	0.740078i	$0.265211\pi$
$398$	22.0361	−	14.3425i	1.10457	−	0.718926i
$399$	−3.45740			−0.173086
$400$	−18.5840	+	7.39144i	−0.929202	+	0.369572i
$401$	11.2786			0.563225			0.281613	−	0.959528i	$-0.409131\pi$
$401$	11.2786			0.563225			0.281613	+	0.959528i	$0.409131\pi$
$402$	−11.9980	+	7.80908i	−0.598405	+	0.389481i
$403$	5.89392	−	11.5675i	0.293597	−	0.576217i
$404$	14.7667	−	33.3505i	0.734673	−	1.65925i
$405$	0.643573	+	2.14145i	0.0319794	+	0.106410i
$406$	0.242224	+	2.28210i	0.0120214	+	0.113259i
$407$	−0.0424210	+	0.0424210i	−0.00210273	+	0.00210273i
$408$	−11.8793	+	1.91896i	−0.588114	+	0.0950027i
$409$	−3.93615	−	5.41764i	−0.194630	−	0.267885i	0.700537	−	0.713616i	$-0.252944\pi$
$409$	−3.93615	−	5.41764i	−0.194630	−	0.267885i	−0.895167	+	0.445731i	$0.852944\pi$
$410$	5.31697	+	21.6699i	0.262586	+	1.07020i
$411$	1.50372	−	2.06970i	0.0741732	−	0.102091i
$412$	−13.6605	−	16.7988i	−0.673004	−	0.827616i
$413$	−0.189061	+	1.19369i	−0.00930310	+	0.0587374i
$414$	−1.71595	+	8.11382i	−0.0843346	+	0.398772i
$415$	−4.00498	+	7.44651i	−0.196597	+	0.365535i
$416$	6.46825	−	14.7306i	0.317132	−	0.722229i
$417$	−10.0277	+	5.10936i	−0.491058	+	0.250206i
$418$	0.0880392	+	0.0336916i	0.00430614	+	0.00164791i
$419$	5.35944	−	16.4947i	0.261826	−	0.805817i	−0.730582	−	0.682825i	$-0.760751\pi$
$419$	5.35944	−	16.4947i	0.261826	−	0.805817i	0.992408	−	0.122992i	$-0.0392490\pi$
$420$	−1.87473	+	1.03254i	−0.0914775	+	0.0503830i
$421$	2.27461	+	7.00054i	0.110858	+	0.341185i	0.991061	−	0.133413i	$-0.0425935\pi$
$421$	2.27461	+	7.00054i	0.110858	+	0.341185i	−0.880203	+	0.474598i	$0.842594\pi$
$422$	1.79536	−	34.9427i	0.0873966	−	1.70098i
$423$	0.687800	+	4.34260i	0.0334420	+	0.211144i
$424$	0.587671	−	1.82777i	0.0285398	−	0.0887644i
$425$	2.39121	+	21.1373i	0.115991	+	1.02531i
$426$	−4.05460	−	9.08172i	−0.196446	−	0.440011i
$427$	−4.25319	+	0.673640i	−0.205826	+	0.0325997i
$428$	4.04969	+	10.4855i	0.195749	+	0.506836i
$429$	−0.0249564	+	0.00810883i	−0.00120491	+	0.000391498i
$430$	−26.7539	+	11.2386i	−1.29019	+	0.541972i
$431$	27.6029	+	8.96873i	1.32959	+	0.432009i	0.885776	−	0.464113i	$-0.153627\pi$
$431$	27.6029	+	8.96873i	1.32959	+	0.432009i	0.443809	+	0.896121i	$0.353627\pi$
$432$	3.11888	+	2.50452i	0.150057	+	0.120499i
$433$	5.40336	+	10.6047i	0.259669	+	0.509629i	0.983627	−	0.180215i	$-0.0576793\pi$
$433$	5.40336	+	10.6047i	0.259669	+	0.509629i	−0.723959	+	0.689843i	$0.757679\pi$
$434$	−1.54203	+	2.67720i	−0.0740197	+	0.128510i
$435$	−3.29124	−	6.83041i	−0.157803	−	0.327493i
$436$	30.6559	−	6.58181i	1.46815	−	0.315212i
$437$	41.8434	+	6.62734i	2.00164	+	0.317029i
$438$	1.08427	+	4.03003i	0.0518085	+	0.192562i
$439$	−8.32588	−	6.04910i	−0.397372	−	0.288708i	0.371097	−	0.928594i	$-0.378982\pi$
$439$	−8.32588	−	6.04910i	−0.397372	−	0.288708i	−0.768470	+	0.639886i	$0.778982\pi$
$440$	0.0578001	−	0.00802385i	0.00275551	−	0.000382522i
$441$	5.47782	−	3.97987i	0.260849	−	0.189518i
$442$	−13.3091	−	10.7550i	−0.633051	−	0.511561i
$443$	−19.8963	−	19.8963i	−0.945304	−	0.945304i	0.0532759	−	0.998580i	$-0.483034\pi$
$443$	−19.8963	−	19.8963i	−0.945304	−	0.945304i	−0.998580	+	0.0532759i	$0.983034\pi$
$444$	6.52516	+	11.2486i	0.309670	+	0.533835i
$445$	−0.765011	+	34.4305i	−0.0362650	+	1.63216i
$446$	6.63010	+	7.34831i	0.313944	+	0.347953i
$447$	−0.932740	−	0.475255i	−0.0441171	−	0.0224788i
$448$	−1.71715	+	3.42196i	−0.0811278	+	0.161673i
$449$			3.25601i			0.153660i	0.997044	+	0.0768302i	$0.0244799\pi$
$449$			3.25601i			0.153660i	−0.997044	+	0.0768302i	$0.975520\pi$
$450$	4.68423	−	5.29698i	0.220817	−	0.249702i
$451$		−	0.0651020i		−	0.00306553i
$452$	8.33270	+	5.38707i	0.391937	+	0.253386i
$453$	−2.37113	−	1.20815i	−0.111405	−	0.0567638i
$454$	−15.4748	+	13.9623i	−0.726269	+	0.655285i
$455$	−2.87292	−	1.00455i	−0.134685	−	0.0470942i
$456$	11.9596	−	16.5678i	0.560058	−	0.775859i
$457$	−7.55858	−	7.55858i	−0.353576	−	0.353576i	0.507862	−	0.861438i	$-0.330436\pi$
$457$	−7.55858	−	7.55858i	−0.353576	−	0.353576i	−0.861438	+	0.507862i	$0.830436\pi$
$458$	23.8919	−	29.5660i	1.11640	−	1.38153i
$459$	3.44189	−	2.50068i	0.160654	−	0.116722i
$460$	24.6683	−	8.90283i	1.15017	−	0.415097i
$461$	−21.9843	−	15.9725i	−1.02391	−	0.743915i	−0.0568302	−	0.998384i	$-0.518099\pi$
$461$	−21.9843	−	15.9725i	−1.02391	−	0.743915i	−0.967081	+	0.254469i	$0.918099\pi$
$462$	0.00603027	−	0.00162243i	0.000280553	−	7.54823e-5i
$463$	−30.3214	−	4.80244i	−1.40916	−	0.223188i	−0.594949	−	0.803764i	$-0.702828\pi$
$463$	−30.3214	−	4.80244i	−1.40916	−	0.223188i	−0.814207	+	0.580575i	$0.802828\pi$
$464$	−11.7737	−	6.73333i	−0.546580	−	0.312587i
$465$	1.82033	−	10.0437i	0.0844156	−	0.465764i
$466$	26.5416	+	15.2875i	1.22952	+	0.708182i
$467$	5.34562	+	10.4914i	0.247366	+	0.485483i	0.980986	−	0.194076i	$-0.0621710\pi$
$467$	5.34562	+	10.4914i	0.247366	+	0.485483i	−0.733621	+	0.679559i	$0.762171\pi$
$468$	0.309332	+	5.67962i	0.0142989	+	0.262540i
$469$	4.60735	+	1.49702i	0.212748	+	0.0691260i
$470$	10.5273	−	9.08235i	0.485586	−	0.418938i
$471$	5.00463	−	1.62610i	0.230601	−	0.0749269i
$472$	−5.06614	−	5.03508i	−0.233188	−	0.231759i
$473$	0.0836257	−	0.0132450i	0.00384511	−	0.000609006i
$474$	−3.05476	+	1.36382i	−0.140310	+	0.0626424i
$475$	−28.2510	−	22.5087i	−1.29625	−	1.03277i
$476$	3.03178	+	2.71859i	0.138961	+	0.124606i
$477$	0.106187	+	0.670438i	0.00486197	+	0.0306972i
$478$	−15.6769	−	0.805483i	−0.717047	−	0.0368419i
$479$	9.32001	+	28.6840i	0.425842	+	1.31061i	0.902186	+	0.431348i	$0.141962\pi$
$479$	9.32001	+	28.6840i	0.425842	+	1.31061i	−0.476344	+	0.879259i	$0.658038\pi$
$480$	1.53699	−	12.5554i	0.0701535	−	0.573072i
$481$	−5.71436	+	17.5870i	−0.260552	+	0.801898i
$482$	−0.637425	+	1.66565i	−0.0290339	+	0.0758683i
$483$	2.50061	−	1.27412i	0.113782	−	0.0579747i
$484$	21.8840	+	2.25475i	0.994726	+	0.102489i
$485$	5.38199	+	39.6645i	0.244384	+	1.80107i
$486$	−1.38361	−	0.292614i	−0.0627618	−	0.0132732i
$487$	−3.03505	+	19.1625i	−0.137531	+	0.868337i	0.818379	+	0.574678i	$0.194873\pi$
$487$	−3.03505	+	19.1625i	−0.137531	+	0.868337i	−0.955910	+	0.293659i	$0.905127\pi$
$488$	11.4842	−	22.7115i	0.519867	−	1.02810i
$489$	10.8616	−	14.9498i	0.491180	−	0.676051i
$490$	−19.8224	−	8.09508i	−0.895486	−	0.365699i
$491$	−1.27404	−	1.75356i	−0.0574965	−	0.0791371i	0.779301	−	0.626650i	$-0.215575\pi$
$491$	−1.27404	−	1.75356i	−0.0574965	−	0.0791371i	−0.836797	+	0.547513i	$0.815575\pi$
$492$	−13.6384	−	3.62444i	−0.614865	−	0.163402i
$493$	−10.2006	+	10.2006i	−0.459410	+	0.459410i
$494$	28.8942	−	3.06684i	1.30001	−	0.137984i
$495$	−0.0169564	+	0.0117531i	−0.000762134	+	0.000528261i
$496$	−7.49507	−	16.6502i	−0.336539	−	0.747614i
$497$	−1.52800	+	2.99886i	−0.0685400	+	0.134517i
$498$	−2.91707	−	4.48183i	−0.130717	−	0.200836i
$499$	−13.9379			−0.623948			−0.311974	−	0.950091i	$-0.600990\pi$
$499$	−13.9379			−0.623948			−0.311974	+	0.950091i	$0.600990\pi$
$500$	−22.0409	−	3.76795i	−0.985700	−	0.168508i
$501$	−19.8570			−0.887144
$502$	−1.24293	−	1.90965i	−0.0554745	−	0.0852318i
$503$	−12.6449	+	24.8171i	−0.563810	+	1.10654i	0.416511	+	0.909131i	$0.363253\pi$
$503$	−12.6449	+	24.8171i	−0.563810	+	1.10654i	−0.980321	+	0.197409i	$0.936747\pi$
$504$	−0.00416215	−	1.35362i	−0.000185397	−	0.0602950i
$505$	33.5148	−	23.2303i	1.49139	−	1.03373i
$506$	−0.0760917	+	0.00807642i	−0.00338269	+	0.000359041i
$507$	3.47300	−	3.47300i	0.154241	−	0.154241i
$508$	−2.02730	+	7.62849i	−0.0899467	+	0.338459i
$509$	9.16632	+	12.6164i	0.406290	+	0.559210i	0.962309	−	0.271959i	$-0.0876717\pi$
$509$	9.16632	+	12.6164i	0.406290	+	0.559210i	−0.556019	+	0.831170i	$0.687672\pi$
$510$	−12.4551	−	5.08641i	−0.551520	−	0.225230i
$511$	0.830121	−	1.14256i	0.0367224	−	0.0505440i
$512$	−10.4582	−	20.0656i	−0.462190	−	0.886781i
$513$	−1.13013	+	7.13535i	−0.0498964	+	0.315033i
$514$	42.6268	+	9.01495i	1.88019	+	0.397633i
$515$	−3.25486	−	23.9878i	−0.143426	−	1.05703i
$516$	1.88099	−	18.2563i	0.0828059	−	0.803690i
$517$	−0.0361455	+	0.0184170i	−0.00158968	+	0.000809980i
$518$	1.57286	−	4.11002i	0.0691074	−	0.180584i
$519$	−1.79603	+	5.52762i	−0.0788371	+	0.242636i
$520$	14.7516	−	10.2921i	0.646900	−	0.451340i
$521$	7.04186	+	21.6726i	0.308509	+	0.949494i	0.978344	+	0.206984i	$0.0663649\pi$
$521$	7.04186	+	21.6726i	0.308509	+	0.949494i	−0.669835	+	0.742510i	$0.733635\pi$
$522$	4.78896	+	0.246057i	0.209607	+	0.0107696i
$523$	−2.51510	−	15.8797i	−0.109977	−	0.694371i	−0.979646	−	0.200734i	$-0.935667\pi$
$523$	−2.51510	−	15.8797i	−0.109977	−	0.694371i	0.869668	−	0.493637i	$-0.164333\pi$
$524$	6.31557	−	7.04313i	0.275897	−	0.307681i
$525$	−2.39053	−	0.106283i	−0.104331	−	0.00463857i
$526$	23.3864	−	10.4410i	1.01970	−	0.455251i
$527$	−19.1816	+	3.03807i	−0.835564	+	0.132340i
$528$	−0.0130848	+	0.0345092i	−0.000569441	+	0.00150182i
$529$	−10.8318	+	3.51947i	−0.470949	+	0.153021i
$530$	1.62526	−	1.40219i	0.0705970	−	0.0609073i
$531$	2.40172	+	0.780367i	0.104226	+	0.0338650i
$532$	−6.90456	+	0.376047i	−0.299351	+	0.0163037i
$533$	−9.11024	−	17.8799i	−0.394608	−	0.774463i
$534$	−18.8742	−	10.8712i	−0.816765	−	0.470444i
$535$	−2.24117	+	12.3657i	−0.0968941	+	0.534614i
$536$	−23.1111	+	16.9000i	−0.998248	+	0.729969i
$537$	22.4808	+	3.56061i	0.970119	+	0.153652i
$538$	5.91220	−	1.59067i	0.254893	−	0.0685785i
$539$	0.0505419	+	0.0367208i	0.00217699	+	0.00158168i
$540$	1.51816	+	4.20657i	0.0653311	+	0.181022i
$541$	6.37355	−	4.63066i	0.274020	−	0.199087i	−0.442285	−	0.896875i	$-0.645832\pi$
$541$	6.37355	−	4.63066i	0.274020	−	0.199087i	0.716305	+	0.697787i	$0.245832\pi$
$542$	−17.0272	+	21.0709i	−0.731380	+	0.905074i
$543$	−3.28938	−	3.28938i	−0.141161	−	0.141161i
$544$	−23.5147	+	5.12430i	−1.00819	+	0.219703i
$545$	33.0908	+	11.5706i	1.41745	+	0.495631i
$546$	1.42914	−	1.28945i	0.0611614	−	0.0551836i
$547$	33.1305	+	16.8808i	1.41656	+	0.721773i	0.983722	−	0.179699i	$-0.0575124\pi$
$547$	33.1305	+	16.8808i	1.41656	+	0.721773i	0.432837	+	0.901472i	$0.357512\pi$
$548$	2.77788	−	4.29682i	0.118665	−	0.183551i
$549$			8.99790i			0.384021i
$550$	0.0598369	+	0.0260016i	0.00255145	+	0.00110871i
$551$		−	24.4959i		−	1.04356i
$552$	−2.54432	+	16.3903i	−0.108294	+	0.697616i
$553$	1.00871	+	0.513962i	0.0428946	+	0.0218559i
$554$	5.07996	+	5.63025i	0.215827	+	0.239206i
$555$	−0.322965	+	14.5355i	−0.0137091	+	0.616998i
$556$	−19.4700	+	11.2943i	−0.825710	+	0.478983i
$557$	−12.6617	−	12.6617i	−0.536492	−	0.536492i	0.386005	−	0.922497i	$-0.373855\pi$
$557$	−12.6617	−	12.6617i	−0.536492	−	0.536492i	−0.922497	+	0.386005i	$0.873855\pi$
$558$	5.02115	+	4.05753i	0.212562	+	0.171769i
$559$	21.1138	−	15.3401i	0.893018	−	0.648816i
$560$	−3.63161	+	2.26594i	−0.153463	+	0.0957533i
$561$	0.0317571	+	0.0230729i	0.00134079	+	0.000974138i
$562$	−0.373184	−	1.38705i	−0.0157418	−	0.0585093i
$563$	29.3480	+	4.64826i	1.23687	+	0.195901i	0.740408	−	0.672158i	$-0.234632\pi$
$563$	29.3480	+	4.64826i	1.23687	+	0.195901i	0.496461	+	0.868059i	$0.334632\pi$
$564$	1.84589	+	8.59753i	0.0777260	+	0.362021i
$565$	4.81558	+	9.99391i	0.202593	+	0.420447i
$566$	0.981270	−	1.70364i	0.0412459	−	0.0716093i
$567$	0.217270	+	0.426417i	0.00912450	+	0.0179078i
$568$	−9.08498	−	17.6956i	−0.381197	−	0.742489i
$569$	−26.6584	−	8.66183i	−1.11758	−	0.363123i	−0.308735	−	0.951148i	$-0.599906\pi$
$569$	−26.6584	−	8.66183i	−1.11758	−	0.363123i	−0.808843	+	0.588025i	$0.799906\pi$
$570$	21.0624	−	8.84769i	0.882205	−	0.370589i
$571$	−8.01362	+	2.60378i	−0.335360	+	0.108965i	−0.471856	−	0.881676i	$-0.656416\pi$
$571$	−8.01362	+	2.60378i	−0.335360	+	0.108965i	0.136496	+	0.990641i	$0.456416\pi$
$572$	−0.0489570	+	0.0189081i	−0.00204699	+	0.000790586i
$573$	−22.7326	+	3.60049i	−0.949669	+	0.150413i
$574$	1.94685	+	4.36065i	0.0812598	+	0.182010i
$575$	28.7279	+	5.86861i	1.19804	+	0.244738i
$576$	6.50093	+	4.66239i	0.270872	+	0.194266i
$577$	−1.09509	−	6.91411i	−0.0455891	−	0.287838i	0.954352	−	0.298684i	$-0.0965476\pi$
$577$	−1.09509	−	6.91411i	−0.0455891	−	0.287838i	−0.999941	+	0.0108457i	$0.996548\pi$
$578$	−0.0798274	+	1.55366i	−0.00332038	+	0.0646239i
$579$	−7.21063	−	22.1920i	−0.299663	−	0.922269i
$580$	−7.31566	−	13.2826i	−0.303766	−	0.551531i
$581$	−0.559210	+	1.72107i	−0.0231999	+	0.0714021i
$582$	−23.6437	−	9.04817i	−0.980063	−	0.375059i
$583$	−0.00558037	+	0.00284334i	−0.000231115	+	0.000117759i
$584$	2.60366	+	7.93020i	0.107740	+	0.328154i
$585$	−3.01227	+	5.60075i	−0.124542	+	0.231563i
$586$	−2.93150	+	13.8615i	−0.121099	+	0.572612i
$587$	−7.27291	+	45.9194i	−0.300185	+	1.89530i	0.128282	+	0.991738i	$0.459054\pi$
$587$	−7.27291	+	45.9194i	−0.300185	+	1.89530i	−0.428467	+	0.903558i	$0.640946\pi$
$588$	10.5066	−	8.54376i	0.433283	−	0.352339i
$589$	19.3838	−	26.6795i	0.798696	−	1.09931i
$590$	−1.90296	−	7.75571i	−0.0783436	−	0.319298i
$591$	4.27817	+	5.88839i	0.175980	+	0.242216i
$592$	14.2545	+	21.7542i	0.585855	+	0.894091i
$593$	−23.3870	+	23.3870i	−0.960388	+	0.960388i	−0.999245	−	0.0388569i	$-0.987628\pi$
$593$	−23.3870	+	23.3870i	−0.960388	+	0.960388i	0.0388569	+	0.999245i	$0.487628\pi$
$594$	−0.00137723	−	0.0129755i	−5.65085e−5	−	0.000532393i
$595$	1.31036	+	4.36016i	0.0537196	+	0.178749i
$596$	−1.91441	−	0.847653i	−0.0784173	−	0.0347212i
$597$	−8.44042	+	16.5653i	−0.345444	+	0.677971i
$598$	−19.7679	+	12.8663i	−0.808370	+	0.526140i
$599$	19.0773			0.779479			0.389739	−	0.920925i	$-0.372565\pi$
$599$	19.0773			0.779479			0.389739	+	0.920925i	$0.372565\pi$
$600$	8.77846	−	11.0878i	0.358379	−	0.452656i
$601$	15.5584			0.634640			0.317320	−	0.948318i	$-0.397217\pi$
$601$	15.5584			0.634640			0.317320	+	0.948318i	$0.397217\pi$
$602$	−5.20532	+	3.38796i	−0.212153	+	0.138083i
$603$	4.59556	−	9.01929i	0.187146	−	0.367294i
$604$	−4.86664	−	2.15483i	−0.198021	−	0.0876786i
$605$	19.5730	+	14.8960i	0.795754	+	0.605607i
$606$	2.72214	+	25.6465i	0.110579	+	1.04182i
$607$	8.69480	−	8.69480i	0.352911	−	0.352911i	−0.508281	−	0.861192i	$-0.669719\pi$
$607$	8.69480	−	8.69480i	0.352911	−	0.352911i	0.861192	+	0.508281i	$0.169719\pi$
$608$	22.0817	−	34.3874i	0.895532	−	1.39459i
$609$	−0.953831	−	1.31284i	−0.0386512	−	0.0531988i
$610$	24.1864	−	14.9880i	0.979280	−	0.606845i
$611$	−7.34989	+	10.1163i	−0.297345	+	0.409260i
$612$	6.60161	−	5.36833i	0.266854	−	0.217002i
$613$	−5.95915	+	37.6246i	−0.240688	+	1.51964i	0.510686	+	0.859767i	$0.329391\pi$
$613$	−5.95915	+	37.6246i	−0.240688	+	1.51964i	−0.751374	+	0.659877i	$0.770609\pi$
$614$	−2.97231	+	14.0544i	−0.119953	+	0.567191i
$615$	−10.9057	−	11.4014i	−0.439762	−	0.459748i
$616$	0.0118662	−	0.00389595i	0.000478104	−	0.000156972i
$617$	−2.33785	+	1.19119i	−0.0941182	+	0.0479556i	−0.500416	−	0.865785i	$-0.666820\pi$
$617$	−2.33785	+	1.19119i	−0.0941182	+	0.0479556i	0.406298	+	0.913741i	$0.366820\pi$
$618$	14.2990	+	5.47205i	0.575189	+	0.220118i
$619$	0.100449	−	0.309150i	0.00403738	−	0.0124258i	−0.949018	−	0.315223i	$-0.897921\pi$
$619$	0.100449	−	0.309150i	0.00403738	−	0.0124258i	0.953055	+	0.302798i	$0.0979206\pi$
$620$	2.54286	−	20.2556i	0.102124	−	0.813484i
$621$	−1.81215	−	5.57722i	−0.0727190	−	0.223806i
$622$	−1.71121	+	33.3049i	−0.0686133	+	1.33541i
$623$	1.15306	+	7.28013i	0.0461963	+	0.291672i
$624$	1.23550	+	11.3088i	0.0494595	+	0.452714i
$625$	−18.8416	−	16.4315i	−0.753662	−	0.657262i
$626$	7.84907	+	17.5808i	0.313712	+	0.702669i
$627$	−0.0658353	+	0.0104273i	−0.00262921	+	0.000416426i
$628$	9.81759	−	3.79173i	0.391764	−	0.151306i
$629$	26.3087	−	8.54821i	1.04900	−	0.340839i
$630$	0.784301	−	1.29432i	0.0312473	−	0.0515668i
$631$	−10.0045	−	3.25066i	−0.398273	−	0.129407i	0.103030	−	0.994678i	$-0.467146\pi$
$631$	−10.0045	−	3.25066i	−0.398273	−	0.129407i	−0.501304	+	0.865271i	$0.667146\pi$
$632$	−5.95215	+	3.05586i	−0.236764	+	0.121556i
$633$	11.2321	+	22.0442i	0.446435	+	0.876178i
$634$	−12.1791	+	21.1449i	−0.483694	+	0.839770i
$635$	−6.37726	+	6.10002i	−0.253074	+	0.242072i
$636$	0.284980	+	1.32734i	0.0113002	+	0.0526325i
$637$	19.0197	+	3.01242i	0.753586	+	0.119356i
$638$	0.0114951	+	0.0427249i	0.000455094	+	0.00169150i
$639$	5.68957	+	4.13371i	0.225076	+	0.163527i
$640$	1.70383	−	25.2408i	0.0673496	−	0.997729i
$641$	−35.5379	+	25.8198i	−1.40366	+	1.01982i	−0.409457	+	0.912329i	$0.634282\pi$
$641$	−35.5379	+	25.8198i	−1.40366	+	1.01982i	−0.994206	+	0.107492i	$0.965718\pi$
$642$	−6.18199	−	4.99559i	−0.243984	−	0.197160i
$643$	−10.0572	−	10.0572i	−0.396616	−	0.396616i	0.480422	−	0.877037i	$-0.340484\pi$
$643$	−10.0572	−	10.0572i	−0.396616	−	0.396616i	−0.877037	+	0.480422i	$0.840484\pi$
$644$	4.85524	−	2.81646i	0.191323	−	0.110984i
$645$	12.4267	−	16.3284i	0.489300	−	0.642930i
$646$	−29.1176	−	32.2718i	−1.14562	−	1.26972i
$647$	−24.4178	−	12.4415i	−0.959963	−	0.489126i	−0.0974945	−	0.995236i	$-0.531083\pi$
$647$	−24.4178	−	12.4415i	−0.959963	−	0.489126i	−0.862469	+	0.506110i	$0.831083\pi$
$648$	−2.79495	−	0.433872i	−0.109796	−	0.0170441i
$649$			0.0233002i			0.000914613i
$650$	20.0725	−	1.23227i	0.787306	−	0.0483335i
$651$		−	2.18464i		−	0.0856227i
$652$	20.0651	−	31.0366i	0.785810	−	1.21549i
$653$	−4.64388	−	2.36618i	−0.181729	−	0.0925956i	0.360759	−	0.932659i	$-0.382518\pi$
$653$	−4.64388	−	2.36618i	−0.181729	−	0.0925956i	−0.542488	+	0.840063i	$0.682518\pi$
$654$	−16.4610	+	14.8521i	−0.643677	+	0.580765i
$655$	10.1291	−	3.04411i	0.395777	−	0.118943i
$656$	−27.6306	−	5.75477i	−1.07879	−	0.224686i
$657$	−2.08667	−	2.08667i	−0.0814087	−	0.0814087i
$658$	1.87034	−	2.31452i	0.0729134	−	0.0902294i
$659$	−3.08407	+	2.24070i	−0.120138	+	0.0872855i	−0.646232	−	0.763141i	$-0.723656\pi$
$659$	−3.08407	+	2.24070i	−0.120138	+	0.0872855i	0.526094	+	0.850427i	$0.323656\pi$
$660$	−0.0325843	+	0.0253156i	−0.00126834	+	0.000985409i
$661$	−21.1830	−	15.3904i	−0.823925	−	0.598616i	0.0939094	−	0.995581i	$-0.470064\pi$
$661$	−21.1830	−	15.3904i	−0.823925	−	0.598616i	−0.917834	+	0.396965i	$0.870064\pi$
$662$	−29.8976	+	8.04389i	−1.16200	+	0.312634i
$663$	11.9507	+	1.89280i	0.464126	+	0.0735103i
$664$	−6.31298	−	8.63312i	−0.244991	−	0.335030i
$665$	−6.80869	−	3.66194i	−0.264030	−	0.142004i
$666$	−7.96811	−	4.58951i	−0.308758	−	0.177840i
$667$	9.02728	+	17.7170i	0.349538	+	0.686006i
$668$	−39.6552	+	2.15976i	−1.53430	+	0.0835636i
$669$	−6.65590	−	2.16263i	−0.257332	−	0.0836122i
$670$	−31.8988	+	2.67070i	−1.23236	+	0.103178i
$671$	−0.0789571	+	0.0256547i	−0.00304810	+	0.000990389i
$672$	−0.155540	−	2.70278i	−0.00600007	−	0.104262i
$673$	−25.4790	+	4.03547i	−0.982142	+	0.155556i	−0.626800	−	0.779180i	$-0.715636\pi$
$673$	−25.4790	+	4.03547i	−0.982142	+	0.155556i	−0.355342	+	0.934736i	$0.615636\pi$
$674$	−40.5520	+	18.1047i	−1.56200	+	0.697368i
$675$	−1.00075	+	4.89883i	−0.0385188	+	0.188556i
$676$	6.55797	−	7.31346i	0.252230	−	0.281287i
$677$	−4.12705	−	26.0571i	−0.158615	−	1.00146i	−0.930659	−	0.365888i	$-0.880765\pi$
$677$	−4.12705	−	26.0571i	−0.158615	−	1.00146i	0.772044	−	0.635570i	$-0.219235\pi$
$678$	−7.00697	−	0.360019i	−0.269101	−	0.0138264i
$679$	2.64737	+	8.14776i	0.101597	+	0.312682i
$680$	−25.4265	−	8.80307i	−0.975063	−	0.337582i
$681$	4.55429	−	14.0167i	0.174521	−	0.537119i
$682$	−0.0212888	+	0.0556296i	−0.000815191	+	0.00213017i
$683$	20.3220	−	10.3546i	0.777600	−	0.396207i	−0.0196878	−	0.999806i	$-0.506267\pi$
$683$	20.3220	−	10.3546i	0.777600	−	0.396207i	0.797288	+	0.603599i	$0.206267\pi$
$684$	−1.48083	+	14.3725i	−0.0566209	+	0.549546i
$685$	5.15344	−	2.48319i	0.196903	−	0.0948778i
$686$	−9.11868	−	1.92847i	−0.348153	−	0.0736293i
$687$	−4.20482	+	26.5482i	−0.160424	+	1.01288i
$688$	1.77075	−	36.6632i	0.0675090	−	1.39777i
$689$	−1.13472	+	1.56181i	−0.0432295	+	0.0595003i
$690$	−11.9731	+	14.1611i	−0.455807	+	0.539105i
$691$	−27.1958	−	37.4318i	−1.03458	−	1.42397i	−0.901455	−	0.432872i	$-0.857500\pi$
$691$	−27.1958	−	37.4318i	−1.03458	−	1.42397i	−0.133121	−	0.991100i	$-0.542500\pi$
$692$	−2.98553	+	11.2342i	−0.113493	+	0.427061i
$693$	−0.00312236	+	0.00312236i	−0.000118608	+	0.000118608i
$694$	44.1196	−	4.68288i	1.67476	−	0.177760i
$695$	−25.1592	−	0.559013i	−0.954344	−	0.0212046i
$696$	9.59051	−	0.0294892i	0.363527	−	0.00111779i
$697$	−13.6282	+	26.7468i	−0.516204	+	1.01311i
$698$	25.2685	+	38.8229i	0.956427	+	1.46947i
$699$	−21.6583			−0.819193
$700$	−4.78555	+	0.0477570i	−0.180877	+	0.00180505i
$701$	−10.5399			−0.398088			−0.199044	−	0.979991i	$-0.563784\pi$
$701$	−10.5399			−0.398088			−0.199044	+	0.979991i	$0.563784\pi$
$702$	−2.19402	−	3.37093i	−0.0828080	−	0.127227i
$703$	−21.3253	+	41.8532i	−0.804299	+	1.57852i
$704$	−0.0223774	+	0.0703394i	−0.000843379	+	0.00265101i
$705$	−3.24502	+	9.28041i	−0.122214	+	0.349520i
$706$	−18.3466	+	1.94732i	−0.690483	+	0.0732883i
$707$	6.17142	−	6.17142i	0.232100	−	0.232100i
$708$	4.88121	+	1.29720i	0.183447	+	0.0487517i
$709$	−6.66013	−	9.16688i	−0.250126	−	0.344269i	0.665429	−	0.746461i	$-0.268249\pi$
$709$	−6.66013	−	9.16688i	−0.250126	−	0.344269i	−0.915556	+	0.402192i	$0.868249\pi$
$710$	1.63423	−	22.1792i	0.0613317	−	0.832370i
$711$	1.39043	−	1.91376i	0.0521452	−	0.0717718i
$712$	−38.8749	−	19.6574i	−1.45690	−	0.736692i
$713$	−4.18764	+	26.4397i	−0.156828	+	0.990175i
$714$	−2.81713	−	0.595783i	−0.105429	−	0.0222966i
$715$	−0.0577354	−	0.0104640i	−0.00215918	−	0.000391333i
$716$	45.2824	+	4.66554i	1.69228	+	0.174360i
$717$	9.89008	−	5.03925i	0.369352	−	0.188194i
$718$	5.84893	−	15.2838i	0.218280	−	0.570386i
$719$	−8.75905	+	26.9576i	−0.326658	+	1.00535i	0.644029	+	0.765001i	$0.277261\pi$
$719$	−8.75905	+	26.9576i	−0.326658	+	1.00535i	−0.970687	+	0.240348i	$0.922739\pi$
$720$	3.48935	+	8.23556i	0.130040	+	0.306921i
$721$	−1.60105	−	4.92751i	−0.0596261	−	0.183510i
$722$	46.8765	+	2.40852i	1.74456	+	0.0896358i
$723$	−0.197278	−	1.24556i	−0.00733685	−	0.0463230i
$724$	−6.92680	−	6.21125i	−0.257432	−	0.230839i
$725$	0.753024	−	16.9371i	0.0279666	−	0.629029i
$726$	−14.2048	+	6.34185i	−0.527191	+	0.235368i
$727$	43.9866	−	6.96679i	1.63137	−	0.258384i	0.727475	−	0.686134i	$-0.240694\pi$
$727$	43.9866	−	6.96679i	1.63137	−	0.258384i	0.903897	+	0.427750i	$0.140694\pi$
$728$	2.71379	−	2.73053i	0.100580	−	0.101200i
$729$	0.951057	−	0.309017i	0.0352243	−	0.0114451i
$730$	−2.13318	+	9.08479i	−0.0789525	+	0.336243i
$731$	−37.1298	−	12.0642i	−1.37330	−	0.446211i
$732$	0.978665	+	17.9692i	0.0361725	+	0.664160i
$733$	11.9095	+	23.3738i	0.439889	+	0.863331i	0.999404	+	0.0345111i	$0.0109874\pi$
$733$	11.9095	+	23.3738i	0.439889	+	0.863331i	−0.559515	+	0.828820i	$0.689013\pi$
$734$	8.23346	+	4.74234i	0.303903	+	0.175043i
$735$	15.0029	−	2.03571i	0.553388	−	0.0750881i
$736$	−3.29842	+	33.0087i	−0.121581	+	1.21672i
$737$	0.0922475	+	0.0146106i	0.00339798	+	0.000538187i
$738$	9.63585	−	2.59251i	0.354701	−	0.0954315i
$739$	22.6226	+	16.4363i	0.832187	+	0.604619i	0.920177	−	0.391502i	$-0.128044\pi$
$739$	22.6226	+	16.4363i	0.832187	+	0.604619i	−0.0879901	+	0.996121i	$0.528044\pi$
$740$	0.935995	+	29.0631i	0.0344078	+	1.06838i
$741$	−16.6221	+	12.0766i	−0.610627	+	0.443647i
$742$	0.288755	−	0.357331i	0.0106005	−	0.0131180i
$743$	−32.7328	−	32.7328i	−1.20085	−	1.20085i	−0.973909	−	0.226941i	$-0.927128\pi$
$743$	−32.7328	−	32.7328i	−1.20085	−	1.20085i	−0.226941	−	0.973909i	$-0.572872\pi$
$744$	10.4688	+	7.55692i	0.383803	+	0.277050i
$745$	−1.33348	−	1.92385i	−0.0488550	−	0.0704842i
$746$	8.25614	−	7.44920i	0.302279	−	0.272734i
$747$	3.36914	+	1.71666i	0.123270	+	0.0628095i
$748$	0.0659298	+	0.0426234i	0.00241063	+	0.00155847i
$749$			2.68970i			0.0982796i
$750$	14.8350	−	5.47005i	0.541699	−	0.199738i
$751$			50.2489i			1.83361i	0.399338	+	0.916804i	$0.369240\pi$
$751$			50.2489i			1.83361i	−0.399338	+	0.916804i	$0.630760\pi$
$752$	4.62143	+	16.9688i	0.168526	+	0.618790i
$753$	1.43555	+	0.731448i	0.0523143	+	0.0266554i
$754$	9.13589	+	10.1255i	0.332709	+	0.368751i
$755$	−3.38986	−	4.89062i	−0.123370	−	0.177988i
$756$	0.480277	+	0.827941i	0.0174675	+	0.0301119i
$757$	−18.7549	−	18.7549i	−0.681658	−	0.681658i	0.278716	−	0.960374i	$-0.410091\pi$
$757$	−18.7549	−	18.7549i	−0.681658	−	0.681658i	−0.960374	+	0.278716i	$0.910091\pi$
$758$	18.0048	+	14.5495i	0.653965	+	0.528461i
$759$	0.0437736	−	0.0318034i	0.00158888	−	0.00115439i
$760$	41.1000	−	19.9601i	1.49086	−	0.724027i
$761$	−25.1788	−	18.2935i	−0.912731	−	0.663138i	0.0289729	−	0.999580i	$-0.490776\pi$
$761$	−25.1788	−	18.2935i	−0.912731	−	0.663138i	−0.941704	+	0.336442i	$0.890776\pi$
$762$	−1.45009	−	5.38972i	−0.0525314	−	0.195249i
$763$	7.41043	+	1.17370i	0.268275	+	0.0424907i
$764$	−45.0063	+	9.66286i	−1.62827	+	0.349590i
$765$	9.42678	−	1.27910i	0.340826	−	0.0462460i
$766$	17.2363	−	29.9250i	0.622774	−	1.08123i
$767$	3.26058	+	6.39926i	0.117733	+	0.231064i
$768$	13.4897	+	8.60391i	0.486769	+	0.310467i
$769$	27.1469	+	8.82055i	0.978941	+	0.318077i	0.754420	−	0.656392i	$-0.227918\pi$
$769$	27.1469	+	8.82055i	0.978941	+	0.318077i	0.224521	+	0.974469i	$0.427918\pi$
$770$	0.0135939	+	0.00319195i	0.000489889	+	0.000115030i
$771$	−29.3005	+	9.52032i	−1.05523	+	0.342866i
$772$	−16.8136	−	43.5341i	−0.605136	−	1.56683i
$773$	35.7571	−	5.66336i	1.28609	−	0.203697i	0.524308	−	0.851529i	$-0.324324\pi$
$773$	35.7571	−	5.66336i	1.28609	−	0.203697i	0.761784	+	0.647832i	$0.224324\pi$
$774$	5.29058	+	11.8501i	0.190166	+	0.425944i
$775$	14.2226	−	17.8511i	0.510892	−	0.641229i
$776$	−48.2016	−	15.4979i	−1.73034	−	0.556344i
$777$	0.486787	+	3.07345i	0.0174634	+	0.110260i
$778$	−0.656371	+	12.7748i	−0.0235320	+	0.457999i
$779$	−15.7517	−	48.4789i	−0.564365	−	1.73694i
$780$	−5.40646	+	11.5126i	−0.193582	+	0.412216i
$781$	−0.0200515	+	0.0617122i	−0.000717500	+	0.00220824i
$782$	32.9525	+	12.6106i	1.17838	+	0.450952i
$783$	−3.02120	+	1.53938i	−0.107969	+	0.0550129i
$784$	20.0528	−	18.2050i	0.716170	−	0.650178i
$785$	11.5780	+	2.09841i	0.413235	+	0.0748953i
$786$	−1.38407	+	6.54450i	−0.0493680	+	0.233435i
$787$	−3.28931	+	20.7679i	−0.117251	+	0.740294i	0.857081	+	0.515181i	$0.172275\pi$
$787$	−3.28931	+	20.7679i	−0.117251	+	0.740294i	−0.974333	+	0.225113i	$0.927725\pi$
$788$	9.18413	+	11.2940i	0.327171	+	0.402333i
$789$	−10.6448	+	14.6512i	−0.378963	+	0.521598i
$790$	−7.46028	−	0.549697i	−0.265425	−	0.0195573i
$791$	1.39560	+	1.92088i	0.0496218	+	0.0682985i
$792$	−0.00416169	−	0.0257629i	−0.000147879	−	0.000915445i
$793$	−18.0950	+	18.0950i	−0.642573	+	0.642573i
$794$	−2.10625	−	19.8440i	−0.0747480	−	0.704236i
$795$	−0.500986	+	1.43277i	−0.0177682	+	0.0508151i
$796$	−15.0541	+	33.9995i	−0.533580	+	1.20508i
$797$	0.286364	−	0.562022i	0.0101435	−	0.0199078i	−0.885879	−	0.463916i	$-0.846444\pi$
$797$	0.286364	−	0.562022i	0.0101435	−	0.0199078i	0.896023	+	0.444008i	$0.146444\pi$
$798$	4.09795	−	2.66721i	0.145066	−	0.0944183i
$799$	18.7055			0.661753
$800$	16.3250	−	23.0975i	0.577175	−	0.816621i
$801$	15.4016			0.544188
$802$	−13.3682	+	8.70087i	−0.472046	+	0.307238i
$803$	0.0123612	−	0.0242601i	0.000436216	−	0.000856121i
$804$	8.19652	−	18.5117i	0.289069	−	0.652858i
$805$	6.27398	+	0.139401i	0.221129	+	0.00491326i
$806$	1.93786	+	18.2574i	0.0682581	+	0.643091i
$807$	−3.06122	+	3.06122i	−0.107760	+	0.107760i
$808$	8.22569	+	50.9211i	0.289379	+	1.79140i
$809$	−10.7939	−	14.8566i	−0.379495	−	0.522330i	0.575956	−	0.817481i	$-0.304630\pi$
$809$	−10.7939	−	14.8566i	−0.379495	−	0.522330i	−0.955451	+	0.295151i	$0.904630\pi$
$810$	−2.41483	−	2.04171i	−0.0848485	−	0.0717384i
$811$	−28.0972	+	38.6725i	−0.986625	+	1.35797i	−0.0534429	+	0.998571i	$0.517020\pi$
$811$	−28.0972	+	38.6725i	−0.986625	+	1.35797i	−0.933183	+	0.359403i	$0.882980\pi$
$812$	−2.04763	−	2.51804i	−0.0718577	−	0.0883659i
$813$	2.99667	−	18.9202i	0.105098	−	0.663561i
$814$	0.0175546	−	0.0830061i	0.000615288	−	0.00290936i
$815$	37.2241	−	17.9365i	1.30390	−	0.628288i
$816$	12.5998	−	11.4388i	0.441081	−	0.400438i
$817$	59.0681	−	30.0967i	2.06653	−	1.05295i
$818$	8.84484	+	3.38482i	0.309253	+	0.118347i
$819$	−0.420599	+	1.29447i	−0.0146969	+	0.0452325i
$820$	−23.0193	−	21.5829i	−0.803869	−	0.753706i
$821$	−12.7770	−	39.3235i	−0.445919	−	1.37240i	−0.881472	−	0.472236i	$-0.843447\pi$
$821$	−12.7770	−	39.3235i	−0.445919	−	1.37240i	0.435553	−	0.900163i	$-0.356553\pi$
$822$	−0.185646	+	3.61320i	−0.00647516	+	0.126025i
$823$	−4.70612	−	29.7133i	−0.164045	−	1.03574i	−0.923057	−	0.384663i	$-0.874318\pi$
$823$	−4.70612	−	29.7133i	−0.164045	−	1.03574i	0.759012	−	0.651076i	$-0.225682\pi$
$824$	29.1508	+	9.37267i	1.01552	+	0.326512i
$825$	−0.0458408	+	0.00518587i	−0.00159597	+	0.000180549i
$826$	−0.696782	−	1.56069i	−0.0242441	−	0.0543034i
$827$	3.42645	−	0.542696i	0.119149	−	0.0188714i	−0.0965750	−	0.995326i	$-0.530789\pi$
$827$	3.42645	−	0.542696i	0.119149	−	0.0188714i	0.215724	+	0.976454i	$0.430789\pi$
$828$	−4.22554	−	10.9408i	−0.146848	−	0.380220i
$829$	16.7607	−	5.44590i	0.582125	−	0.189144i	−0.00312747	−	0.999995i	$-0.500996\pi$
$829$	16.7607	−	5.44590i	0.582125	−	0.189144i	0.585252	+	0.810851i	$0.300996\pi$
$830$	−0.997637	−	11.9158i	−0.0346285	−	0.413602i
$831$	−5.09972	−	1.65700i	−0.176907	−	0.0574807i
$832$	3.69735	+	22.4497i	0.128182	+	0.778304i
$833$	−13.0779	−	25.6668i	−0.453121	−	0.889301i
$834$	7.94388	−	13.7918i	0.275074	−	0.477572i
$835$	−39.1045	−	21.0317i	−1.35327	−	0.727832i
$836$	−0.130342	+	0.0279843i	−0.00450796	+	0.000967859i
$837$	−4.50864	−	0.714098i	−0.155841	−	0.0246828i
$838$	6.37245	+	23.6852i	0.220133	+	0.818191i
$839$	7.06575	+	5.13357i	0.243937	+	0.177231i	0.703035	−	0.711155i	$-0.251828\pi$
$839$	7.06575	+	5.13357i	0.243937	+	0.177231i	−0.459099	+	0.888385i	$0.651828\pi$
$840$	1.42550	−	2.67011i	0.0491846	−	0.0921274i
$841$	−14.1599	+	10.2878i	−0.488274	+	0.354752i
$842$	−8.09660	−	6.54277i	−0.279027	−	0.225479i
$843$	0.718189	+	0.718189i	0.0247357	+	0.0247357i
$844$	24.8286	+	42.8015i	0.854635	+	1.47329i
$845$	10.5179	−	3.16095i	0.361826	−	0.108740i
$846$	−4.16533	−	4.61654i	−0.143207	−	0.158720i
$847$	4.69055	+	2.38996i	0.161169	+	0.0821199i
$848$	0.713487	+	2.61976i	0.0245012	+	0.0899629i
$849$			1.39019i			0.0477113i
$850$	−19.1406	−	23.2086i	−0.656517	−	0.796050i
$851$		−	38.1298i		−	1.30707i
$852$	11.8119	+	7.63636i	0.404669	+	0.261617i
$853$	21.8126	+	11.1141i	0.746849	+	0.380539i	0.785620	−	0.618709i	$-0.212344\pi$
$853$	21.8126	+	11.1141i	0.746849	+	0.380539i	−0.0387705	+	0.999248i	$0.512344\pi$
$854$	4.52150	−	4.07958i	0.154723	−	0.139600i
$855$	−9.78305	+	12.8547i	−0.334573	+	0.439622i
$856$	−12.8890	−	9.30401i	−0.440538	−	0.318005i
$857$	−2.88171	−	2.88171i	−0.0984373	−	0.0984373i	0.656173	−	0.754610i	$-0.272174\pi$
$857$	−2.88171	−	2.88171i	−0.0984373	−	0.0984373i	−0.754610	+	0.656173i	$0.772174\pi$
$858$	0.0233245	−	0.0288638i	0.000796285	−	0.000985394i
$859$	39.7386	−	28.8718i	1.35586	−	0.985092i	0.357166	−	0.934041i	$-0.383743\pi$
$859$	39.7386	−	28.8718i	1.35586	−	0.985092i	0.998696	−	0.0510509i	$-0.0162571\pi$
$860$	23.0406	−	33.9601i	0.785679	−	1.15803i
$861$	−2.73189	−	1.98483i	−0.0931024	−	0.0676429i
$862$	−39.6358	+	10.6639i	−1.35000	+	0.363215i
$863$	15.4604	+	2.44868i	0.526276	+	0.0833540i	0.413919	−	0.910314i	$-0.364160\pi$
$863$	15.4604	+	2.44868i	0.526276	+	0.0833540i	0.112358	+	0.993668i	$0.464160\pi$
$864$	−5.62882	−	0.562464i	−0.191496	−	0.0191354i
$865$	−9.39158	+	8.98331i	−0.319323	+	0.305442i
$866$	−14.5854	−	8.40098i	−0.495633	−	0.285477i
$867$	−0.499415	−	0.980156i	−0.0169610	−	0.0332879i
$868$	−0.237614	−	4.36281i	−0.00806514	−	0.148083i
$869$	0.0207578	+	0.00674461i	0.000704159	+	0.000228795i
$870$	9.17033	+	5.55684i	0.310903	+	0.188395i
$871$	27.3798	−	8.89623i	0.927729	−	0.301437i
$872$	−31.2579	+	31.4507i	−1.05853	+	1.06506i
$873$	17.6806	−	2.80034i	0.598399	−	0.0947771i
$874$	−54.7083	+	24.4249i	−1.85054	+	0.826186i
$875$	−4.59513	−	2.74126i	−0.155344	−	0.0926716i
$876$	−4.39412	−	3.94021i	−0.148464	−	0.133127i
$877$	−8.26731	−	52.1978i	−0.279167	−	1.76259i	−0.585503	−	0.810670i	$-0.699103\pi$
$877$	−8.26731	−	52.1978i	−0.279167	−	1.76259i	0.306336	−	0.951923i	$-0.400897\pi$
$878$	14.5350	+	0.746809i	0.490532	+	0.0252036i
$879$	−3.09583	−	9.52800i	−0.104420	−	0.321371i
$880$	−0.0623187	+	0.0541004i	−0.00210076	+	0.00182372i
$881$	16.9137	−	52.0551i	0.569838	−	1.75378i	−0.0832834	−	0.996526i	$-0.526541\pi$
$881$	16.9137	−	52.0551i	0.569838	−	1.75378i	0.653121	−	0.757254i	$-0.273459\pi$
$882$	−3.42242	+	8.94309i	−0.115239	+	0.301130i
$883$	36.8694	−	18.7859i	1.24076	−	0.632196i	0.294511	−	0.955648i	$-0.404843\pi$
$883$	36.8694	−	18.7859i	1.24076	−	0.632196i	0.946245	+	0.323452i	$0.104843\pi$
$884$	24.0718	+	2.48017i	0.809624	+	0.0834173i
$885$	3.90320	+	4.08059i	0.131205	+	0.137168i
$886$	38.9316	+	8.23347i	1.30793	+	0.276609i
$887$	4.33280	−	27.3562i	0.145481	−	0.918532i	−0.801675	−	0.597760i	$-0.796058\pi$
$887$	4.33280	−	27.3562i	0.145481	−	0.918532i	0.947156	−	0.320772i	$-0.103942\pi$
$888$	−16.4118	−	8.29877i	−0.550744	−	0.278488i
$889$	−1.11020	+	1.52805i	−0.0372348	+	0.0512493i
$890$	−25.6547	−	41.3996i	−0.859947	−	1.38772i
$891$	0.00542328	+	0.00746451i	0.000181687	+	0.000250070i
$892$	−13.5273	−	3.59493i	−0.452928	−	0.120367i
$893$	−22.4600	+	22.4600i	−0.751596	+	0.751596i
$894$	1.47218	−	0.156259i	0.0492372	−	0.00522607i
$895$	40.5004	+	30.8227i	1.35378	+	1.03029i
$896$	−0.604589	−	5.38065i	−0.0201979	−	0.179755i
$897$	7.57165	−	14.8602i	0.252810	−	0.496168i
$898$	−2.51185	−	3.85925i	−0.0838215	−	0.128785i
$899$	15.4783			0.516231
$900$	−1.46571	+	9.89200i	−0.0488569	+	0.329733i
$901$	2.88788			0.0962091
$902$	0.0502230	+	0.0771634i	0.00167224	+	0.00256926i
$903$	1.99378	−	3.91301i	0.0663488	−	0.130217i
$904$	−14.0324	+	0.0431471i	−0.466709	+	0.00143505i
$905$	−2.99383	−	9.96179i	−0.0995182	−	0.331141i
$906$	3.74245	−	0.397226i	0.124335	−	0.0131970i
$907$	−1.04931	+	1.04931i	−0.0348419	+	0.0348419i	−0.724313	−	0.689471i	$-0.757843\pi$
$907$	−1.04931	+	1.04931i	−0.0348419	+	0.0348419i	0.689471	+	0.724313i	$0.257843\pi$
$908$	7.57056	−	28.4872i	0.251238	−	0.945380i
$909$	−10.7193	−	14.7538i	−0.355536	−	0.489353i
$910$	4.18015	−	1.02565i	0.138571	−	0.0340000i
$911$	33.9572	−	46.7381i	1.12505	−	1.54850i	0.327911	−	0.944709i	$-0.393655\pi$
$911$	33.9572	−	46.7381i	1.12505	−	1.54850i	0.797141	−	0.603793i	$-0.206345\pi$
$912$	−1.39404	+	28.8635i	−0.0461613	+	0.955767i
$913$	−0.00545776	+	0.0344589i	−0.000180625	+	0.00114042i
$914$	14.7900	+	3.12788i	0.489211	+	0.103461i
$915$	−9.53022	+	17.7197i	−0.315059	+	0.585794i
$916$	−5.50966	+	53.4751i	−0.182044	+	1.76687i
$917$	2.01696	−	1.02769i	0.0666059	−	0.0339374i
$918$	−2.15042	+	5.61924i	−0.0709743	+	0.185462i
$919$	−11.5591	+	35.5754i	−0.381301	+	1.17352i	0.557828	+	0.829957i	$0.311635\pi$
$919$	−11.5591	+	35.5754i	−0.381301	+	1.17352i	−0.939128	+	0.343566i	$0.888365\pi$
$920$	−22.3705	+	29.5826i	−0.737533	+	0.975311i
$921$	−3.13893	−	9.66064i	−0.103431	−	0.318329i
$922$	38.3793	+	1.97193i	1.26396	+	0.0649422i
$923$	3.12886	+	19.7549i	0.102988	+	0.650239i
$924$	−0.00589586	+	0.00657508i	−0.000193960	+	0.000216304i
$925$	−16.0315	+	28.2829i	−0.527111	+	0.929935i
$926$	39.6439	−	17.6993i	1.30278	−	0.581635i
$927$	−10.6927	+	1.69356i	−0.351194	+	0.0556237i
$928$	19.1494	−	1.10201i	0.628611	−	0.0361753i
$929$	8.87951	−	2.88513i	0.291327	−	0.0946580i	−0.159707	−	0.987164i	$-0.551055\pi$
$929$	8.87951	−	2.88513i	0.291327	−	0.0946580i	0.451035	+	0.892506i	$0.351055\pi$
$930$	5.59062	+	13.3087i	0.183324	+	0.436411i
$931$	46.5213	+	15.1157i	1.52467	+	0.495397i
$932$	−43.2525	+	2.35568i	−1.41678	+	0.0771630i
$933$	−10.7056	−	21.0110i	−0.350487	−	0.687869i
$934$	−14.4296	−	8.31122i	−0.472150	−	0.271951i
$935$	0.0381017	+	0.0790735i	0.00124606	+	0.00258598i
$936$	−4.74819	−	6.49324i	−0.155199	−	0.212238i
$937$	−23.3504	−	3.69834i	−0.762825	−	0.120820i	−0.237113	−	0.971482i	$-0.576201\pi$
$937$	−23.3504	−	3.69834i	−0.762825	−	0.120820i	−0.525712	+	0.850663i	$0.676201\pi$
$938$	−6.61583	+	1.77998i	−0.216015	+	0.0581183i
$939$	−11.0141	−	8.00222i	−0.359432	−	0.261142i
$940$	−5.47103	+	18.8863i	−0.178445	+	0.616003i
$941$	14.7926	−	10.7475i	0.482226	−	0.350358i	−0.319961	−	0.947431i	$-0.603670\pi$
$941$	14.7926	−	10.7475i	0.482226	−	0.350358i	0.802187	+	0.597073i	$0.203670\pi$
$942$	−4.67738	+	5.78820i	−0.152397	+	0.188590i
$943$	29.2582	+	29.2582i	0.952777	+	0.952777i
$944$	9.88907	+	2.05965i	0.321862	+	0.0670358i
$945$	−0.0237715	+	1.06987i	−0.000773286	+	0.0348029i
$946$	−0.0889011	+	0.0802120i	−0.00289042	+	0.00260792i
$947$	14.5607	+	7.41904i	0.473159	+	0.241086i	0.674274	−	0.738481i	$-0.264457\pi$
$947$	14.5607	+	7.41904i	0.473159	+	0.241086i	−0.201115	+	0.979568i	$0.564457\pi$
$948$	2.56859	−	3.97310i	0.0834241	−	0.129040i
$949$		−	8.39269i		−	0.272438i
$950$	50.8494	+	4.88457i	1.64977	+	0.158476i
$951$		−	17.2545i		−	0.559516i
$952$	−5.69073	−	0.883395i	−0.184438	−	0.0286310i
$953$	6.96002	+	3.54631i	0.225457	+	0.114876i	0.563071	−	0.826409i	$-0.309620\pi$
$953$	6.96002	+	3.54631i	0.225457	+	0.114876i	−0.337614	+	0.941285i	$0.609620\pi$
$954$	−0.643070	−	0.712731i	−0.0208202	−	0.0230755i
$955$	−48.5810	−	16.9870i	−1.57205	−	0.549686i
$956$	19.2028	−	11.1393i	0.621063	−	0.360270i
$957$	−0.0221221	−	0.0221221i	−0.000715107	−	0.000715107i
$958$	−33.1751	−	26.8084i	−1.07184	−	0.866139i
$959$	0.990514	−	0.719650i	0.0319854	−	0.0232387i
$960$	7.86412	+	16.0672i	0.253814	+	0.518567i
$961$	−8.22144	−	5.97323i	−0.265208	−	0.192685i
$962$	−6.79445	−	25.2537i	−0.219062	−	0.814211i
$963$	5.55099	+	0.879190i	0.178878	+	0.0283315i
$964$	−0.529447	−	2.46599i	−0.0170523	−	0.0794240i
$965$	9.30496	−	51.3402i	0.299537	−	1.65270i
$966$	−1.98097	+	3.43928i	−0.0637367	+	0.110657i
$967$	−15.6133	−	30.6429i	−0.502091	−	0.985408i	−0.993430	−	0.114440i	$-0.963493\pi$
$967$	−15.6133	−	30.6429i	−0.502091	−	0.985408i	0.491340	−	0.870968i	$-0.336507\pi$
$968$	−27.6778	+	14.2099i	−0.889599	+	0.456725i
$969$	29.2309	+	9.49768i	0.939031	+	0.305110i
$970$	−36.9783	−	42.8611i	−1.18730	−	1.37619i
$971$	−33.0263	+	10.7309i	−1.05986	+	0.344371i	−0.786532	−	0.617549i	$-0.788126\pi$
$971$	−33.0263	+	10.7309i	−1.05986	+	0.344371i	−0.273332	+	0.961920i	$0.588126\pi$
$972$	1.86569	−	0.720562i	0.0598420	−	0.0231120i
$973$	−5.31978	+	0.842570i	−0.170544	+	0.0270115i
$974$	−11.1856	−	25.0541i	−0.358410	−	0.802786i
$975$	−11.8642	+	7.83914i	−0.379958	+	0.251053i
$976$	3.90887	+	35.7787i	0.125120	+	1.14525i
$977$	1.13937	+	7.19369i	0.0364516	+	0.230147i	0.999188	−	0.0402958i	$-0.0128300\pi$
$977$	1.13937	+	7.19369i	0.0364516	+	0.230147i	−0.962736	+	0.270442i	$0.912830\pi$
$978$	−1.34095	+	26.0987i	−0.0428790	+	0.834545i
$979$	0.0439128	+	0.135150i	0.00140346	+	0.00431940i
$980$	29.7399	−	5.69718i	0.950006	−	0.181990i
$981$	4.84453	−	14.9099i	0.154674	−	0.476038i
$982$	2.86286	+	1.09559i	0.0913577	+	0.0349615i
$983$	31.7358	−	16.1702i	1.01221	−	0.515749i	0.132465	−	0.991188i	$-0.457711\pi$
$983$	31.7358	−	16.1702i	1.01221	−	0.515749i	0.879749	+	0.475439i	$0.157711\pi$
$984$	18.9612	−	6.22539i	0.604461	−	0.198458i
$985$	2.18828	+	16.1273i	0.0697245	+	0.513860i
$986$	4.22117	−	19.9596i	0.134430	−	0.635644i
$987$	−0.329167	+	2.07828i	−0.0104775	+	0.0661523i
$988$	−31.8814	+	25.9255i	−1.01428	+	0.824799i
$989$	−31.6305	+	43.5357i	−1.00579	+	1.38435i
$990$	0.0110310	−	0.0270116i	0.000350588	−	0.000858484i
$991$	−1.17484	−	1.61702i	−0.0373199	−	0.0513664i	0.789949	−	0.613172i	$-0.210107\pi$
$991$	−1.17484	−	1.61702i	−0.0373199	−	0.0513664i	−0.827269	+	0.561806i	$0.810107\pi$
$992$	21.7285	+	13.9528i	0.689879	+	0.443003i
$993$	15.4804	−	15.4804i	0.491255	−	0.491255i
$994$	−0.502388	−	4.73323i	−0.0159348	−	0.150129i
$995$	−34.1671	+	23.6824i	−1.08317	+	0.750782i
$996$	6.91503	+	3.06180i	0.219111	+	0.0970168i
$997$	−16.0795	+	31.5579i	−0.509244	+	0.999447i	0.483056	+	0.875589i	$0.339527\pi$
$997$	−16.0795	+	31.5579i	−0.509244	+	0.999447i	−0.992300	+	0.123858i	$0.960473\pi$
$998$	16.5202	−	10.7524i	0.522938	−	0.340362i
$999$	6.50209			0.205717

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.w.a.187.6	✓	240
3.2	odd	2		900.2.bj.f.487.25		240
4.3	odd	2	inner	300.2.w.a.187.28	yes	240
12.11	even	2		900.2.bj.f.487.3		240
25.23	odd	20	inner	300.2.w.a.223.28	yes	240
75.23	even	20		900.2.bj.f.523.3		240
100.23	even	20	inner	300.2.w.a.223.6	yes	240
300.23	odd	20		900.2.bj.f.523.25		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.w.a.187.6	✓	240	1.1	even	1	trivial
300.2.w.a.187.28	yes	240	4.3	odd	2	inner
300.2.w.a.223.6	yes	240	100.23	even	20	inner
300.2.w.a.223.28	yes	240	25.23	odd	20	inner
900.2.bj.f.487.3		240	12.11	even	2
900.2.bj.f.487.25		240	3.2	odd	2
900.2.bj.f.523.3		240	75.23	even	20
900.2.bj.f.523.25		240	300.23	odd	20

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:	\( N \)	\(=\)	\( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	300.w (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.18527 + 0.771451i) q^{2} +(0.453990 - 0.891007i) q^{3} +(0.809726 - 1.82875i) q^{4} +(1.83777 - 1.27382i) q^{5} +(0.149267 + 1.40631i) q^{6} +(0.338407 - 0.338407i) q^{7} +(0.451051 + 2.79223i) q^{8} +(-0.587785 - 0.809017i) q^{9} +(-1.19556 + 2.92757i) q^{10} +(0.00542328 - 0.00746451i) q^{11} +(-1.26182 - 1.55171i) q^{12} +(0.444902 - 2.80900i) q^{13} +(-0.140039 + 0.662167i) q^{14} +(-0.300652 - 2.21576i) q^{15} +(-2.68869 - 2.96158i) q^{16} +(-3.79071 + 1.93146i) q^{17} +(1.32080 + 0.505455i) q^{18} +(2.23243 - 6.87071i) q^{19} +(-0.841414 - 4.39227i) q^{20} +(-0.147889 - 0.455156i) q^{21} +(-0.000669546 + 0.0130312i) q^{22} +(0.917368 + 5.79204i) q^{23} +(2.69267 + 0.865757i) q^{24} +(1.75477 - 4.68196i) q^{25} +(1.63968 + 3.67265i) q^{26} +(-0.987688 + 0.156434i) q^{27} +(-0.344846 - 0.892879i) q^{28} +(3.22482 - 1.04781i) q^{29} +(2.06571 + 2.39434i) q^{30} +(4.34142 + 1.41061i) q^{31} +(5.47153 + 1.43608i) q^{32} +(-0.00418881 - 0.00822099i) q^{33} +(3.00298 - 5.21365i) q^{34} +(0.190844 - 1.05298i) q^{35} +(-1.95544 + 0.419833i) q^{36} +(-6.42204 - 1.01715i) q^{37} +(2.65439 + 9.86585i) q^{38} +(-2.30086 - 1.67167i) q^{39} +(4.38572 + 4.55691i) q^{40} +(5.70832 - 4.14734i) q^{41} +(0.526419 + 0.425393i) q^{42} +(6.48875 + 6.48875i) q^{43} +(-0.00925938 - 0.0159621i) q^{44} +(-2.11075 - 0.738052i) q^{45} +(-5.55560 - 6.15742i) q^{46} +(-3.91751 - 1.99607i) q^{47} +(-3.85943 + 1.05111i) q^{48} +6.77096i q^{49} +(1.53203 + 6.90311i) q^{50} +4.25442i q^{51} +(-4.77673 - 3.08814i) q^{52} +(-0.604811 - 0.308167i) q^{53} +(1.05000 - 0.947370i) q^{54} +(0.000458296 - 0.0206263i) q^{55} +(1.09755 + 0.792271i) q^{56} +(-5.10835 - 5.10835i) q^{57} +(-3.01394 + 3.72972i) q^{58} +(-2.04303 + 1.48435i) q^{59} +(-4.29553 - 1.24434i) q^{60} +(-7.27946 - 5.28884i) q^{61} +(-6.23397 + 1.67724i) q^{62} +(-0.472687 - 0.0748663i) q^{63} +(-7.59311 + 2.51888i) q^{64} +(-2.76053 - 5.72902i) q^{65} +(0.0113070 + 0.00651263i) q^{66} +(4.59556 + 9.01929i) q^{67} +(0.462735 + 8.49624i) q^{68} +(5.57722 + 1.81215i) q^{69} +(0.586122 + 1.39529i) q^{70} +(-6.68849 + 2.17322i) q^{71} +(1.99384 - 2.00614i) q^{72} +(2.91467 - 0.461638i) q^{73} +(8.39652 - 3.74869i) q^{74} +(-3.37501 - 3.68908i) q^{75} +(-10.7572 - 9.64596i) q^{76} +(-0.000690764 - 0.00436131i) q^{77} +(4.01675 + 0.206381i) q^{78} +(0.730993 + 2.24976i) q^{79} +(-8.71370 - 2.01779i) q^{80} +(-0.309017 + 0.951057i) q^{81} +(-3.56643 + 9.31941i) q^{82} +(-3.36914 + 1.71666i) q^{83} +(-0.952118 - 0.0980988i) q^{84} +(-4.50611 + 8.37826i) q^{85} +(-12.6967 - 2.68516i) q^{86} +(0.530434 - 3.34903i) q^{87} +(0.0232888 + 0.0117762i) q^{88} +(-9.05282 + 12.4601i) q^{89} +(3.07118 - 0.753552i) q^{90} +(-0.800028 - 1.10114i) q^{91} +(11.3350 + 3.01232i) q^{92} +(3.22783 - 3.22783i) q^{93} +(6.18318 - 0.656287i) q^{94} +(-4.64936 - 15.4705i) q^{95} +(3.76358 - 4.22320i) q^{96} +(-8.12690 + 15.9499i) q^{97} +(-5.22347 - 8.02541i) q^{98} -0.00922664 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44}+ \cdots + 256 q^{98}+O(q^{100}) \) 240 * q + 12 * q^8 + 8 * q^10 + 8 * q^12 + 4 * q^13 + 20 * q^17 - 20 * q^20 - 12 * q^22 + 20 * q^25 + 4 * q^28 - 8 * q^30 - 20 * q^32 - 8 * q^33 - 4 * q^37 - 76 * q^38 - 92 * q^40 - 20 * q^42 - 140 * q^44 - 4 * q^45 - 16 * q^48 - 164 * q^50 - 172 * q^52 - 4 * q^53 - 120 * q^58 + 20 * q^60 - 44 * q^62 - 60 * q^64 - 20 * q^65 + 16 * q^68 - 44 * q^70 + 12 * q^72 - 44 * q^73 - 48 * q^77 + 24 * q^78 - 4 * q^80 + 60 * q^81 + 24 * q^82 + 80 * q^84 - 64 * q^85 + 60 * q^88 - 260 * q^89 + 48 * q^90 + 144 * q^92 - 64 * q^93 + 40 * q^94 - 20 * q^96 - 180 * q^97 + 256 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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