LMFDB - Embedded newform 75.2.l.a.8.7

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [75,2,Mod(2,75)] 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("75.2"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(75, base_ring=CyclotomicField(20)) chi = DirichletCharacter(H, H._module([10, 1])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 75 = 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	75.l (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:	$0.598878015160$
Analytic rank:	$0$
Dimension:	$64$
Relative dimension:	$8$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			8.7
Character	$\chi$	$=$	75.8
Dual form			75.2.l.a.47.7

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.888111 - 1.74302i) q^{2} +(0.667932 + 1.59808i) q^{3} +(-1.07379 - 1.47795i) q^{4} +(-1.74306 - 1.40062i) q^{5} +(3.37868 + 0.255059i) q^{6} +(-0.551254 + 0.551254i) q^{7} +(0.334566 - 0.0529901i) q^{8} +(-2.10773 + 2.13482i) q^{9} +(-3.98933 + 1.79428i) q^{10} +(-0.937544 + 0.304626i) q^{11} +(1.64466 - 2.70317i) q^{12} +(-4.20319 + 2.14163i) q^{13} +(0.471270 + 1.45042i) q^{14} +(1.07406 - 3.72107i) q^{15} +(1.33382 - 4.10508i) q^{16} +(0.535425 + 3.38054i) q^{17} +(1.84912 + 5.56977i) q^{18} +(3.79078 - 5.21756i) q^{19} +(-0.198357 + 4.08012i) q^{20} +(-1.24915 - 0.512749i) q^{21} +(-0.301674 + 1.90469i) q^{22} +(0.855694 + 0.435998i) q^{23} +(0.308150 + 0.499270i) q^{24} +(1.07653 + 4.88273i) q^{25} +9.22822i q^{26} +(-4.81944 - 1.94242i) q^{27} +(1.40666 + 0.222792i) q^{28} +(8.30669 - 6.03516i) q^{29} +(-5.53201 - 5.17683i) q^{30} +(-2.73448 - 1.98672i) q^{31} +(-5.49158 - 5.49158i) q^{32} +(-1.11303 - 1.29480i) q^{33} +(6.36785 + 2.06904i) q^{34} +(1.73297 - 0.188773i) q^{35} +(5.41842 + 0.822768i) q^{36} +(-1.85119 - 3.63316i) q^{37} +(-5.72765 - 11.2411i) q^{38} +(-6.22994 - 5.28657i) q^{39} +(-0.657388 - 0.376235i) q^{40} +(-3.89453 - 1.26541i) q^{41} +(-2.00311 + 1.72191i) q^{42} +(4.93949 + 4.93949i) q^{43} +(1.45695 + 1.05853i) q^{44} +(6.66398 - 0.768989i) q^{45} +(1.51990 - 1.10427i) q^{46} +(-4.62454 - 0.732455i) q^{47} +(7.45115 - 0.610356i) q^{48} +6.39224i q^{49} +(9.46676 + 2.46000i) q^{50} +(-5.04475 + 3.11362i) q^{51} +(7.67856 + 3.91242i) q^{52} +(-0.542970 + 3.42818i) q^{53} +(-7.66586 + 6.67528i) q^{54} +(2.06086 + 0.782159i) q^{55} +(-0.155220 + 0.213642i) q^{56} +(10.8701 + 2.57300i) q^{57} +(-3.14212 - 19.8386i) q^{58} +(0.172592 - 0.531183i) q^{59} +(-6.65286 + 2.40825i) q^{60} +(2.95410 + 9.09178i) q^{61} +(-5.89140 + 3.00182i) q^{62} +(-0.0149310 - 2.33873i) q^{63} +(-6.23890 + 2.02714i) q^{64} +(10.3260 + 2.15407i) q^{65} +(-3.24536 + 0.790106i) q^{66} +(6.82141 - 1.08040i) q^{67} +(4.42132 - 4.42132i) q^{68} +(-0.125215 + 1.65869i) q^{69} +(1.21003 - 3.18824i) q^{70} +(-5.08421 - 6.99781i) q^{71} +(-0.592052 + 0.825927i) q^{72} +(-4.09480 + 8.03649i) q^{73} -7.97671 q^{74} +(-7.08396 + 4.98171i) q^{75} -11.7818 q^{76} +(0.348898 - 0.684752i) q^{77} +(-14.7475 + 6.16382i) q^{78} +(-3.84334 - 5.28990i) q^{79} +(-8.07458 + 5.28723i) q^{80} +(-0.114912 - 8.99927i) q^{81} +(-5.66440 + 5.66440i) q^{82} +(-1.41101 + 0.223482i) q^{83} +(0.583510 + 2.39676i) q^{84} +(3.80157 - 6.64241i) q^{85} +(12.9964 - 4.22279i) q^{86} +(15.1930 + 9.24369i) q^{87} +(-0.297528 + 0.151598i) q^{88} +(3.04398 + 9.36841i) q^{89} +(4.57799 - 12.2984i) q^{90} +(1.13644 - 3.49761i) q^{91} +(-0.274455 - 1.73284i) q^{92} +(1.34849 - 5.69692i) q^{93} +(-5.38378 + 7.41014i) q^{94} +(-13.9154 + 3.78509i) q^{95} +(5.10800 - 12.4440i) q^{96} +(0.873583 - 5.51558i) q^{97} +(11.1418 + 5.67701i) q^{98} +(1.32577 - 2.64356i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 64 q - 10 q^{3} - 20 q^{4} - 6 q^{6} - 20 q^{7} - 10 q^{9} - 20 q^{10} - 10 q^{12} - 20 q^{13} - 10 q^{15} - 8 q^{16} - 10 q^{18} - 6 q^{21} + 20 q^{22} + 40 q^{25} - 10 q^{27} + 40 q^{28} - 10 q^{30} - 12 q^{31}+ \cdots + 120 q^{97}+O(q^{100}) $ 64 * q - 10 * q^3 - 20 * q^4 - 6 * q^6 - 20 * q^7 - 10 * q^9 - 20 * q^10 - 10 * q^12 - 20 * q^13 - 10 * q^15 - 8 * q^16 - 10 * q^18 - 6 * q^21 + 20 * q^22 + 40 * q^25 - 10 * q^27 + 40 * q^28 - 10 * q^30 - 12 * q^31 - 10 * q^33 + 20 * q^34 - 22 * q^36 - 20 * q^37 + 30 * q^39 - 20 * q^40 + 90 * q^42 - 20 * q^43 + 70 * q^45 - 12 * q^46 + 100 * q^48 - 16 * q^51 + 20 * q^52 + 120 * q^54 - 20 * q^55 + 70 * q^57 - 20 * q^58 + 50 * q^60 - 12 * q^61 - 20 * q^63 - 100 * q^64 - 30 * q^66 - 60 * q^67 - 80 * q^69 - 100 * q^70 - 150 * q^72 - 60 * q^73 - 90 * q^75 - 64 * q^76 - 80 * q^78 - 60 * q^79 + 14 * q^81 - 60 * q^82 - 130 * q^84 + 60 * q^85 - 60 * q^87 + 20 * q^88 - 70 * q^90 - 12 * q^91 - 20 * q^93 + 260 * q^94 + 42 * q^96 + 120 * q^97

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/75\mathbb{Z}\right)^\times$.

$n$	$26$	$52$
$\chi(n)$	$-1$	$e\left(\frac{3}{20}\right)$

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 $

$2$	0.888111	−	1.74302i	0.627989	−	1.23250i	−0.329535	−	0.944143i	$-0.606892\pi$
$2$	0.888111	−	1.74302i	0.627989	−	1.23250i	0.957524	−	0.288354i	$-0.0931081\pi$
$3$	0.667932	+	1.59808i	0.385631	+	0.922653i
$3$	0.667932	+	1.59808i	0.385631	+	0.922653i
$4$	−1.07379	−	1.47795i	−0.536895	−	0.738973i
$5$	−1.74306	−	1.40062i	−0.779521	−	0.626376i
$5$	−1.74306	−	1.40062i	−0.779521	−	0.626376i
$6$	3.37868	+	0.255059i	1.37934	+	0.104127i
$7$	−0.551254	+	0.551254i	−0.208355	+	0.208355i	−0.803568	−	0.595213i	$-0.797068\pi$
$7$	−0.551254	+	0.551254i	−0.208355	+	0.208355i	0.595213	+	0.803568i	$0.297068\pi$
$8$	0.334566	−	0.0529901i	0.118287	−	0.0187348i
$9$	−2.10773	+	2.13482i	−0.702578	+	0.711607i
$10$	−3.98933	+	1.79428i	−1.26154	+	0.567400i
$11$	−0.937544	+	0.304626i	−0.282680	+	0.0918483i	−0.446925	−	0.894571i	$-0.647481\pi$
$11$	−0.937544	+	0.304626i	−0.282680	+	0.0918483i	0.164245	+	0.986420i	$0.447481\pi$
$12$	1.64466	−	2.70317i	0.474773	−	0.780339i
$13$	−4.20319	+	2.14163i	−1.16575	+	0.593981i	−0.926248	−	0.376914i	$-0.876985\pi$
$13$	−4.20319	+	2.14163i	−1.16575	+	0.593981i	−0.239505	+	0.970895i	$0.576985\pi$
$14$	0.471270	+	1.45042i	0.125952	+	0.387641i
$15$	1.07406	−	3.72107i	0.277321	−	0.960777i
$16$	1.33382	−	4.10508i	0.333455	−	1.02627i
$17$	0.535425	+	3.38054i	0.129860	+	0.819901i	0.963522	+	0.267627i	$0.0862396\pi$
$17$	0.535425	+	3.38054i	0.129860	+	0.819901i	−0.833663	+	0.552274i	$0.813760\pi$
$18$	1.84912	+	5.56977i	0.435842	+	1.31281i
$19$	3.79078	−	5.21756i	0.869664	−	1.19699i	−0.109514	−	0.993985i	$-0.534930\pi$
$19$	3.79078	−	5.21756i	0.869664	−	1.19699i	0.979178	−	0.203004i	$-0.0650705\pi$
$20$	−0.198357	+	4.08012i	−0.0443540	+	0.912344i
$21$	−1.24915	−	0.512749i	−0.272587	−	0.111891i
$22$	−0.301674	+	1.90469i	−0.0643171	+	0.406082i
$23$	0.855694	+	0.435998i	0.178424	+	0.0909118i	0.540921	−	0.841073i	$-0.318076\pi$
$23$	0.855694	+	0.435998i	0.178424	+	0.0909118i	−0.362497	+	0.931985i	$0.618076\pi$
$24$	0.308150	+	0.499270i	0.0629008	+	0.101913i
$25$	1.07653	+	4.88273i	0.215306	+	0.976547i
$26$			9.22822i			1.80980i
$27$	−4.81944	−	1.94242i	−0.927502	−	0.373819i
$28$	1.40666	+	0.222792i	0.265833	+	0.0421038i
$29$	8.30669	−	6.03516i	1.54251	−	1.12070i	0.593778	−	0.804629i	$-0.297636\pi$
$29$	8.30669	−	6.03516i	1.54251	−	1.12070i	0.948735	−	0.316073i	$-0.102364\pi$
$30$	−5.53201	−	5.17683i	−1.01000	−	0.945155i
$31$	−2.73448	−	1.98672i	−0.491128	−	0.356825i	0.314490	−	0.949261i	$-0.398166\pi$
$31$	−2.73448	−	1.98672i	−0.491128	−	0.356825i	−0.805618	+	0.592436i	$0.798166\pi$
$32$	−5.49158	−	5.49158i	−0.970784	−	0.970784i
$33$	−1.11303	−	1.29480i	−0.193754	−	0.225396i
$34$	6.36785	+	2.06904i	1.09208	+	0.354837i
$35$	1.73297	−	0.188773i	0.292925	−	0.0319084i
$36$	5.41842	+	0.822768i	0.903069	+	0.137128i
$37$	−1.85119	−	3.63316i	−0.304333	−	0.597288i	0.687300	−	0.726374i	$-0.258796\pi$
$37$	−1.85119	−	3.63316i	−0.304333	−	0.597288i	−0.991633	+	0.129086i	$0.958796\pi$
$38$	−5.72765	−	11.2411i	−0.929148	−	1.82355i
$39$	−6.22994	−	5.28657i	−0.997589	−	0.846529i
$40$	−0.657388	−	0.376235i	−0.103942	−	0.0594880i
$41$	−3.89453	−	1.26541i	−0.608223	−	0.197624i	−0.0113186	−	0.999936i	$-0.503603\pi$
$41$	−3.89453	−	1.26541i	−0.608223	−	0.197624i	−0.596905	+	0.802312i	$0.703603\pi$
$42$	−2.00311	+	1.72191i	−0.309087	+	0.265696i
$43$	4.93949	+	4.93949i	0.753265	+	0.753265i	0.975087	−	0.221822i	$-0.0712005\pi$
$43$	4.93949	+	4.93949i	0.753265	+	0.753265i	−0.221822	+	0.975087i	$0.571201\pi$
$44$	1.45695	+	1.05853i	0.219643	+	0.159580i
$45$	6.66398	−	0.768989i	0.993408	−	0.114634i
$46$	1.51990	−	1.10427i	0.224097	−	0.162816i
$47$	−4.62454	−	0.732455i	−0.674558	−	0.106840i	−0.190248	−	0.981736i	$-0.560929\pi$
$47$	−4.62454	−	0.732455i	−0.674558	−	0.106840i	−0.484310	+	0.874897i	$0.660929\pi$
$48$	7.45115	−	0.610356i	1.07548	−	0.0880973i
$49$			6.39224i			0.913177i
$50$	9.46676	+	2.46000i	1.33880	+	0.347897i
$51$	−5.04475	+	3.11362i	−0.706407	+	0.435994i
$52$	7.67856	+	3.91242i	1.06482	+	0.542555i
$53$	−0.542970	+	3.42818i	−0.0745826	+	0.470896i	0.921923	+	0.387373i	$0.126617\pi$
$53$	−0.542970	+	3.42818i	−0.0745826	+	0.470896i	−0.996506	+	0.0835235i	$0.973383\pi$
$54$	−7.66586	+	6.67528i	−1.04319	+	0.908390i
$55$	2.06086	+	0.782159i	0.277887	+	0.105466i
$56$	−0.155220	+	0.213642i	−0.0207421	+	0.0285491i
$57$	10.8701	+	2.57300i	1.43978	+	0.340802i
$58$	−3.14212	−	19.8386i	−0.412581	−	2.60493i
$59$	0.172592	−	0.531183i	0.0224696	−	0.0691542i	−0.939193	−	0.343390i	$-0.888425\pi$
$59$	0.172592	−	0.531183i	0.0224696	−	0.0691542i	0.961663	+	0.274236i	$0.0884248\pi$
$60$	−6.65286	+	2.40825i	−0.858881	+	0.310904i
$61$	2.95410	+	9.09178i	0.378233	+	1.16408i	0.941271	+	0.337652i	$0.109633\pi$
$61$	2.95410	+	9.09178i	0.378233	+	1.16408i	−0.563038	+	0.826431i	$0.690367\pi$
$62$	−5.89140	+	3.00182i	−0.748209	+	0.381231i
$63$	−0.0149310	−	2.33873i	−0.00188113	−	0.294652i
$64$	−6.23890	+	2.02714i	−0.779862	+	0.253393i
$65$	10.3260	+	2.15407i	1.28079	+	0.267180i
$66$	−3.24536	+	0.790106i	−0.399476	+	0.0972553i
$67$	6.82141	−	1.08040i	0.833367	−	0.131992i	0.274852	−	0.961487i	$-0.411371\pi$
$67$	6.82141	−	1.08040i	0.833367	−	0.131992i	0.558515	+	0.829494i	$0.311371\pi$
$68$	4.42132	−	4.42132i	0.536164	−	0.536164i
$69$	−0.125215	+	1.65869i	−0.0150741	+	0.199682i
$70$	1.21003	−	3.18824i	0.144627	−	0.381068i
$71$	−5.08421	−	6.99781i	−0.603385	−	0.830488i	0.392628	−	0.919697i	$-0.371566\pi$
$71$	−5.08421	−	6.99781i	−0.603385	−	0.830488i	−0.996013	+	0.0892096i	$0.971566\pi$
$72$	−0.592052	+	0.825927i	−0.0697740	+	0.0973365i
$73$	−4.09480	+	8.03649i	−0.479260	+	0.940600i	0.517147	+	0.855897i	$0.326994\pi$
$73$	−4.09480	+	8.03649i	−0.479260	+	0.940600i	−0.996406	+	0.0847030i	$0.973006\pi$
$74$	−7.97671			−0.927274
$75$	−7.08396	+	4.98171i	−0.817986	+	0.575239i
$76$	−11.7818			−1.35146
$77$	0.348898	−	0.684752i	0.0397607	−	0.0780347i
$78$	−14.7475	+	6.16382i	−1.66982	+	0.697915i
$79$	−3.84334	−	5.28990i	−0.432410	−	0.595161i	0.536095	−	0.844158i	$-0.319899\pi$
$79$	−3.84334	−	5.28990i	−0.432410	−	0.595161i	−0.968504	+	0.248997i	$0.919899\pi$
$80$	−8.07458	+	5.28723i	−0.902766	+	0.591130i
$81$	−0.114912	−	8.99927i	−0.0127680	−	0.999918i
$82$	−5.66440	+	5.66440i	−0.625528	+	0.625528i
$83$	−1.41101	+	0.223482i	−0.154878	+	0.0245303i	−0.233392	−	0.972383i	$-0.574983\pi$
$83$	−1.41101	+	0.223482i	−0.154878	+	0.0245303i	0.0785138	+	0.996913i	$0.474983\pi$
$84$	0.583510	+	2.39676i	0.0636661	+	0.261508i
$85$	3.80157	−	6.64241i	0.412338	−	0.720471i
$86$	12.9964	−	4.22279i	1.40144	−	0.455355i
$87$	15.1930	+	9.24369i	1.62886	+	0.991028i
$88$	−0.297528	+	0.151598i	−0.0317166	+	0.0161604i
$89$	3.04398	+	9.36841i	0.322661	+	0.993049i	0.972485	+	0.232964i	$0.0748426\pi$
$89$	3.04398	+	9.36841i	0.322661	+	0.993049i	−0.649824	+	0.760085i	$0.725157\pi$
$90$	4.57799	−	12.2984i	0.482563	−	1.29636i
$91$	1.13644	−	3.49761i	0.119131	−	0.366649i
$92$	−0.274455	−	1.73284i	−0.0286139	−	0.180661i
$93$	1.34849	−	5.69692i	0.139832	−	0.590743i
$94$	−5.38378	+	7.41014i	−0.555295	+	0.764297i
$95$	−13.9154	+	3.78509i	−1.42769	+	0.388342i
$96$	5.10800	−	12.4440i	0.521333	−	1.27006i
$97$	0.873583	−	5.51558i	0.0886989	−	0.560023i	−0.902816	−	0.430028i	$-0.858504\pi$
$97$	0.873583	−	5.51558i	0.0886989	−	0.560023i	0.991515	−	0.129995i	$-0.0414962\pi$
$98$	11.1418	+	5.67701i	1.12549	+	0.573465i
$99$	1.32577	−	2.64356i	0.133245	−	0.265688i
$100$	6.06045	−	6.83409i	0.606045	−	0.683409i
$101$			3.43356i			0.341652i	0.985301	+	0.170826i	$0.0546437\pi$
$101$			3.43356i			0.341652i	−0.985301	+	0.170826i	$0.945356\pi$
$102$	0.946793	+	11.5583i	0.0937464	+	1.14444i
$103$	4.88052	+	0.772999i	0.480892	+	0.0761658i	0.392174	−	0.919891i	$-0.371723\pi$
$103$	4.88052	+	0.772999i	0.480892	+	0.0761658i	0.0887178	+	0.996057i	$0.471723\pi$
$104$	−1.29276	+	0.939244i	−0.126765	+	0.0921004i
$105$	1.45918	+	2.64334i	0.142401	+	0.257963i
$106$	5.49315	+	3.99100i	0.533542	+	0.387641i
$107$	2.44736	+	2.44736i	0.236595	+	0.236595i	0.815439	−	0.578844i	$-0.196496\pi$
$107$	2.44736	+	2.44736i	0.236595	+	0.236595i	−0.578844	+	0.815439i	$0.696496\pi$
$108$	2.30428	+	9.20863i	0.221730	+	0.886101i
$109$	−2.20399	−	0.716119i	−0.211104	−	0.0685918i	0.201556	−	0.979477i	$-0.435400\pi$
$109$	−2.20399	−	0.716119i	−0.211104	−	0.0685918i	−0.412660	+	0.910885i	$0.635400\pi$
$110$	3.19359	−	2.89747i	0.304497	−	0.276263i
$111$	4.56962	−	5.38505i	0.433729	−	0.511127i
$112$	1.52767	+	2.99821i	0.144351	+	0.283305i
$113$	1.48114	+	2.90689i	0.139334	+	0.273457i	0.950120	−	0.311885i	$-0.100960\pi$
$113$	1.48114	+	2.90689i	0.139334	+	0.273457i	−0.810786	+	0.585342i	$0.800960\pi$
$114$	14.1386	−	16.6616i	1.32420	−	1.56050i
$115$	−0.880860	−	1.95847i	−0.0821406	−	0.182629i
$116$	−17.8393	−	5.79634i	−1.65634	−	0.538176i
$117$	4.28720	−	13.4870i	0.396352	−	1.24688i
$118$	−0.772580	−	0.772580i	−0.0711217	−	0.0711217i
$119$	−2.15869	−	1.56838i	−0.197887	−	0.143773i
$120$	0.162164	−	1.30186i	0.0148035	−	0.118843i
$121$	−8.11300	+	5.89444i	−0.737545	+	0.535858i
$122$	18.4707	+	2.92547i	1.67226	+	0.264859i
$123$	−0.579051	−	7.06898i	−0.0522113	−	0.637389i
$124$			6.17474i			0.554508i
$125$	4.96240	−	10.0187i	0.443850	−	0.896101i
$126$	−4.08970	−	2.05102i	−0.364339	−	0.182720i
$127$	−13.5468	−	6.90244i	−1.20208	−	0.612493i	−0.265900	−	0.964001i	$-0.585669\pi$
$127$	−13.5468	−	6.90244i	−1.20208	−	0.612493i	−0.936185	+	0.351508i	$0.885669\pi$
$128$	0.422332	−	2.66650i	0.0373292	−	0.235687i
$129$	−4.59447	+	11.1929i	−0.404520	+	0.985484i
$130$	12.9252	−	16.0854i	1.13362	−	1.41078i
$131$	−0.850285	+	1.17032i	−0.0742897	+	0.102251i	−0.844545	−	0.535485i	$-0.820129\pi$
$131$	−0.850285	+	1.17032i	−0.0742897	+	0.102251i	0.770255	+	0.637736i	$0.220129\pi$
$132$	−0.718483	+	3.03535i	−0.0625360	+	0.264193i
$133$	0.786518	+	4.96588i	0.0681998	+	0.430597i
$134$	4.17500	−	12.8493i	0.360665	−	1.11001i
$135$	5.67999	+	10.1360i	0.488856	+	0.872365i
$136$	0.358270	+	1.10264i	0.0307214	+	0.0945507i
$137$	−8.44422	+	4.30255i	−0.721438	+	0.367591i	−0.775842	−	0.630928i	$-0.782674\pi$
$137$	−8.44422	+	4.30255i	−0.721438	+	0.367591i	0.0544031	+	0.998519i	$0.482674\pi$
$138$	2.77991	+	1.69135i	0.236642	+	0.143977i
$139$	−6.29917	+	2.04672i	−0.534288	+	0.173601i	−0.563720	−	0.825966i	$-0.690630\pi$
$139$	−6.29917	+	2.04672i	−0.534288	+	0.173601i	0.0294316	+	0.999567i	$0.490630\pi$
$140$	−2.13984	−	2.35853i	−0.180850	−	0.199332i
$141$	−1.91835	−	7.87962i	−0.161554	−	0.663584i
$142$	−16.7126	+	2.64702i	−1.40249	+	0.222133i
$143$	3.28827	−	3.28827i	0.274979	−	0.274979i
$144$	5.95226	+	11.4999i	0.496022	+	0.958323i
$145$	−22.9320	−	1.11485i	−1.90440	−	0.0925833i
$146$	10.3711	+	14.2746i	0.858318	+	1.18137i
$147$	−10.2153	+	4.26958i	−0.842546	+	0.352149i
$148$	−3.38183	+	6.63721i	−0.277985	+	0.545575i
$149$	−10.3466			−0.847626			−0.423813	−	0.905750i	$-0.639309\pi$
$149$	−10.3466			−0.847626			−0.423813	+	0.905750i	$0.639309\pi$
$150$	2.39186	+	16.7718i	0.195295	+	1.36941i
$151$	5.60298			0.455964			0.227982	−	0.973665i	$-0.426787\pi$
$151$	5.60298			0.455964			0.227982	+	0.973665i	$0.426787\pi$
$152$	0.991787	−	1.94649i	0.0804445	−	0.157881i
$153$	−8.34537	−	5.98224i	−0.674683	−	0.483636i
$154$	−0.883672	−	1.21627i	−0.0712083	−	0.0980098i
$155$	1.98374	+	7.29294i	0.159338	+	0.585783i
$156$	−1.12362	+	14.8842i	−0.0899614	+	1.19169i
$157$	7.18526	−	7.18526i	0.573446	−	0.573446i	−0.359644	−	0.933090i	$-0.617102\pi$
$157$	7.18526	−	7.18526i	0.573446	−	0.573446i	0.933090	+	0.359644i	$0.117102\pi$
$158$	−12.6337	+	2.00098i	−1.00508	+	0.159189i
$159$	−5.84118	+	1.42208i	−0.463235	+	0.112778i
$160$	1.88055	+	17.2638i	0.148670	+	1.36482i
$161$	−0.712050	+	0.231359i	−0.0561174	+	0.0182337i
$162$	−15.7879	−	7.79205i	−1.24042	−	0.612201i
$163$	17.3725	−	8.85172i	1.36072	−	0.693320i	0.387214	−	0.921990i	$-0.373438\pi$
$163$	17.3725	−	8.85172i	1.36072	−	0.693320i	0.973504	+	0.228670i	$0.0734376\pi$
$164$	2.31170	+	7.11469i	0.180514	+	0.555564i
$165$	0.126560	+	3.81586i	0.00985269	+	0.297064i
$166$	−0.863599	+	2.65788i	−0.0670283	+	0.206292i
$167$	−0.0839087	−	0.529779i	−0.00649305	−	0.0409955i	0.984229	−	0.176899i	$-0.0566064\pi$
$167$	−0.0839087	−	0.529779i	−0.00649305	−	0.0409955i	−0.990722	+	0.135903i	$0.956606\pi$
$168$	−0.445094	−	0.105356i	−0.0343397	−	0.00812840i
$169$	5.43898	−	7.48611i	0.418383	−	0.575855i
$170$	−8.20161	−	12.5254i	−0.629035	−	0.960654i
$171$	3.14859	+	19.0898i	0.240779	+	1.45984i
$172$	1.99632	−	12.6043i	0.152218	−	0.961067i
$173$	−14.1938	−	7.23210i	−1.07913	−	0.549846i	−0.178285	−	0.983979i	$-0.557055\pi$
$173$	−14.1938	−	7.23210i	−1.07913	−	0.549846i	−0.900849	+	0.434132i	$0.857055\pi$
$174$	29.6050	−	18.2722i	2.24435	−	1.38521i
$175$	−3.28507	−	2.09819i	−0.248328	−	0.158608i
$176$			4.25500i			0.320733i
$177$	0.964154	−	0.0789781i	0.0724703	−	0.00593636i
$178$	19.0327	+	3.01448i	1.42656	+	0.225945i
$179$	14.7628	−	10.7258i	1.10342	−	0.801684i	0.121808	−	0.992554i	$-0.461131\pi$
$179$	14.7628	−	10.7258i	1.10342	−	0.801684i	0.981615	+	0.190870i	$0.0611308\pi$
$180$	−8.29225	−	9.02328i	−0.618068	−	0.672555i
$181$	8.42806	+	6.12334i	0.626453	+	0.455145i	0.855170	−	0.518348i	$-0.173453\pi$
$181$	8.42806	+	6.12334i	0.626453	+	0.455145i	−0.228717	+	0.973493i	$0.573453\pi$
$182$	−5.08710	−	5.08710i	−0.377081	−	0.377081i
$183$	−12.5563	+	10.7936i	−0.928186	+	0.797884i
$184$	0.309390	+	0.100527i	0.0228085	+	0.00741093i
$185$	−1.86194	+	8.92563i	−0.136893	+	0.656226i
$186$	−8.73221	−	7.40994i	−0.640277	−	0.543323i
$187$	−1.53179	−	3.00630i	−0.112015	−	0.219842i
$188$	3.88326	+	7.62132i	0.283216	+	0.555842i
$189$	3.72750	−	1.58597i	0.271136	−	0.115362i
$190$	−5.76092	+	27.6163i	−0.417941	+	2.00350i
$191$	16.3919	+	5.32604i	1.18607	+	0.385379i	0.834620	−	0.550826i	$-0.185687\pi$
$191$	16.3919	+	5.32604i	1.18607	+	0.385379i	0.351454	+	0.936205i	$0.385687\pi$
$192$	−7.40669	−	8.61628i	−0.534532	−	0.621826i
$193$	−13.5906	−	13.5906i	−0.978276	−	0.978276i	0.0214931	−	0.999769i	$-0.493158\pi$
$193$	−13.5906	−	13.5906i	−0.978276	−	0.978276i	−0.999769	+	0.0214931i	$0.993158\pi$
$194$	−8.83791	−	6.42112i	−0.634525	−	0.461009i
$195$	3.45469	+	17.9406i	0.247396	+	1.28475i
$196$	9.44738	−	6.86393i	0.674813	−	0.490280i
$197$	2.11254	+	0.334594i	0.150512	+	0.0238388i	0.231236	−	0.972898i	$-0.425723\pi$
$197$	2.11254	+	0.334594i	0.150512	+	0.0238388i	−0.0807236	+	0.996737i	$0.525723\pi$
$198$	−3.43033	−	4.65861i	−0.243783	−	0.331073i
$199$		−	18.8648i		−	1.33729i	−0.743582	−	0.668644i	$-0.766875\pi$
$199$		−	18.8648i		−	1.33729i	0.743582	−	0.668644i	$-0.233125\pi$
$200$	0.618906	+	1.57655i	0.0437633	+	0.111479i
$201$	6.28281	+	10.1795i	0.443155	+	0.718009i
$202$	5.98476	+	3.04939i	0.421086	+	0.214554i
$203$	−1.25219	+	7.90601i	−0.0878864	+	0.554893i
$204$	10.0188	+	4.11249i	0.701455	+	0.287932i
$205$	5.01605	+	7.66044i	0.350336	+	0.535028i
$206$	5.68179	−	7.82031i	0.395869	−	0.544867i
$207$	−2.73435	+	0.907785i	−0.190051	+	0.0630954i
$208$	3.18526	+	20.1109i	0.220858	+	1.39444i
$209$	−1.96461	+	6.04646i	−0.135895	+	0.418242i
$210$	5.90329	−	0.195794i	0.407366	−	0.0135110i
$211$	−1.54603	−	4.75818i	−0.106433	−	0.327567i	0.883631	−	0.468184i	$-0.155091\pi$
$211$	−1.54603	−	4.75818i	−0.106433	−	0.327567i	−0.990064	+	0.140617i	$0.955091\pi$
$212$	5.64970	−	2.87866i	0.388023	−	0.197708i
$213$	7.78718	−	12.7990i	0.533569	−	0.876976i
$214$	6.43931	−	2.09226i	0.440182	−	0.143024i
$215$	−1.69149	−	15.5282i	−0.115359	−	1.05901i
$216$	−1.71535	−	0.394485i	−0.116715	−	0.0268413i
$217$	2.60258	−	0.412209i	0.176675	−	0.0279825i
$218$	−3.20559	+	3.20559i	−0.217110	+	0.217110i
$219$	−15.5780	−	1.17599i	−1.05266	−	0.0794663i
$220$	−1.05695	−	3.88572i	−0.0712592	−	0.261975i
$221$	−9.49035	−	13.0623i	−0.638390	−	0.878669i
$222$	−5.32790	−	12.7474i	−0.357585	−	0.855552i
$223$	−5.52678	+	10.8469i	−0.370101	+	0.726363i	−0.998679	−	0.0513829i	$-0.983637\pi$
$223$	−5.52678	+	10.8469i	−0.370101	+	0.726363i	0.628578	+	0.777746i	$0.283637\pi$
$224$	6.05452			0.404534
$225$	−12.6928	−	7.99331i	−0.846186	−	0.532887i
$226$	6.38217			0.424536
$227$	6.80520	−	13.3560i	0.451677	−	0.886466i	−0.547102	−	0.837066i	$-0.684269\pi$
$227$	6.80520	−	13.3560i	0.451677	−	0.886466i	0.998779	−	0.0494003i	$-0.0157310\pi$
$228$	−7.86942	−	18.8282i	−0.521165	−	1.24693i
$229$	9.00455	+	12.3937i	0.595037	+	0.818999i	0.995243	−	0.0974268i	$-0.0310612\pi$
$229$	9.00455	+	12.3937i	0.595037	+	0.818999i	−0.400205	+	0.916426i	$0.631061\pi$
$230$	−4.19595	−	0.203988i	−0.276673	−	0.0134506i
$231$	1.32733	+	0.100201i	0.0873319	+	0.00659274i
$232$	2.45933	−	2.45933i	0.161463	−	0.161463i
$233$	2.13821	−	0.338659i	0.140079	−	0.0221863i	−0.0860013	−	0.996295i	$-0.527409\pi$
$233$	2.13821	−	0.338659i	0.140079	−	0.0221863i	0.226080	+	0.974109i	$0.427409\pi$
$234$	−19.7006	−	19.4506i	−1.28787	−	1.27153i
$235$	7.03496	+	7.75393i	0.458910	+	0.505811i
$236$	−0.970388	+	0.315298i	−0.0631669	+	0.0205242i
$237$	5.88661	−	9.67527i	0.382377	−	0.628476i
$238$	−4.65087	+	2.36974i	−0.301471	+	0.153607i
$239$	7.04340	+	21.6774i	0.455600	+	1.40219i	0.870430	+	0.492293i	$0.163841\pi$
$239$	7.04340	+	21.6774i	0.455600	+	1.40219i	−0.414830	+	0.909899i	$0.636159\pi$
$240$	−13.8427	−	9.37234i	−0.893542	−	0.604982i
$241$	−0.706155	+	2.17332i	−0.0454874	+	0.139996i	−0.971221	−	0.238181i	$-0.923449\pi$
$241$	−0.706155	+	2.17332i	−0.0454874	+	0.139996i	0.925733	+	0.378177i	$0.123449\pi$
$242$	3.06885	+	19.3760i	0.197273	+	1.24554i
$243$	14.3048	−	6.19453i	0.917654	−	0.397380i
$244$	10.2651	−	14.1287i	0.657154	−	0.904495i
$245$	8.95309	−	11.1421i	0.571992	−	0.711840i
$246$	−12.8356	−	5.26874i	−0.818368	−	0.335923i
$247$	−4.75926	+	30.0488i	−0.302825	+	1.91196i
$248$	−1.02014	−	0.519788i	−0.0647791	−	0.0330066i
$249$	−1.29960	−	2.10564i	−0.0823587	−	0.133439i
$250$	−13.0556	−	17.5473i	−0.825709	−	1.10979i
$251$		−	14.3226i		−	0.904036i	−0.892009	−	0.452018i	$-0.850704\pi$
$251$		−	14.3226i		−	0.904036i	0.892009	−	0.452018i	$-0.149296\pi$
$252$	−3.44048	+	2.53337i	−0.216730	+	0.159587i
$253$	−0.935067	−	0.148100i	−0.0587871	−	0.00931097i
$254$	−24.0621	+	17.4822i	−1.50979	+	1.09693i
$255$	13.1543	+	1.63854i	0.823755	+	0.102610i
$256$	−14.8869	−	10.8160i	−0.930432	−	0.675998i
$257$	4.31188	+	4.31188i	0.268968	+	0.268968i	0.828684	−	0.559716i	$-0.189090\pi$
$257$	4.31188	+	4.31188i	0.268968	+	0.268968i	−0.559716	+	0.828684i	$0.689090\pi$
$258$	15.4291	+	17.9488i	0.960573	+	1.11744i
$259$	3.02327	+	0.982320i	0.187857	+	0.0610384i
$260$	−7.90439	−	17.5743i	−0.490209	−	1.08991i
$261$	−4.62431	+	30.4538i	−0.286237	+	1.88504i
$262$	1.28473	+	2.52143i	0.0793711	+	0.155774i
$263$	14.1510	+	27.7729i	0.872587	+	1.71255i	0.682642	+	0.730753i	$0.260831\pi$
$263$	14.1510	+	27.7729i	0.872587	+	1.71255i	0.189945	+	0.981795i	$0.439169\pi$
$264$	−0.440995	−	0.374217i	−0.0271414	−	0.0230315i
$265$	5.74800	−	5.21503i	0.353097	−	0.320357i
$266$	9.35412	+	3.03934i	0.573538	+	0.186354i
$267$	−12.9383	+	11.1220i	−0.791812	+	0.680655i
$268$	−8.92154	−	8.92154i	−0.544970	−	0.544970i
$269$	−11.9339	−	8.67050i	−0.727624	−	0.528649i	0.161187	−	0.986924i	$-0.448468\pi$
$269$	−11.9339	−	8.67050i	−0.727624	−	0.528649i	−0.888811	+	0.458274i	$0.848468\pi$
$270$	22.7116	−	0.898460i	1.38218	−	0.0546785i
$271$	19.8939	−	14.4538i	1.20847	−	0.878004i	0.213378	−	0.976970i	$-0.431553\pi$
$271$	19.8939	−	14.4538i	1.20847	−	0.878004i	0.995091	+	0.0989656i	$0.0315534\pi$
$272$	14.5915	+	2.31107i	0.884741	+	0.140129i
$273$	6.34853	−	0.520036i	0.384230	−	0.0314740i
$274$			18.5395i			1.12001i
$275$	−2.49670	−	4.24984i	−0.150557	−	0.256275i
$276$	2.58590	−	1.59602i	0.155653	−	0.0960691i
$277$	−2.98592	−	1.52140i	−0.179406	−	0.0914121i	0.361981	−	0.932186i	$-0.382101\pi$
$277$	−2.98592	−	1.52140i	−0.179406	−	0.0914121i	−0.541387	+	0.840773i	$0.682101\pi$
$278$	−2.02689	+	12.7973i	−0.121565	+	0.767529i
$279$	10.0048	−	1.65015i	0.598975	−	0.0987922i
$280$	0.569789	−	0.154987i	0.0340514	−	0.00926225i
$281$	−0.291342	+	0.400997i	−0.0173800	+	0.0239215i	−0.817619	−	0.575760i	$-0.804706\pi$
$281$	−0.291342	+	0.400997i	−0.0173800	+	0.0239215i	0.800239	+	0.599682i	$0.204706\pi$
$282$	−15.4380	−	3.65426i	−0.919320	−	0.217608i
$283$	−3.58300	−	22.6222i	−0.212987	−	1.34475i	−0.829986	−	0.557784i	$-0.811652\pi$
$283$	−3.58300	−	22.6222i	−0.212987	−	1.34475i	0.616999	−	0.786964i	$-0.288348\pi$
$284$	−4.88302	+	15.0284i	−0.289754	+	0.891770i
$285$	−15.3434	−	19.7097i	−0.908864	−	1.16750i
$286$	−2.81116	−	8.65186i	−0.166227	−	0.511595i
$287$	2.84444	−	1.44931i	0.167902	−	0.0855502i
$288$	23.2983	−	0.148743i	1.37287	−	0.00876474i
$289$	5.02660	−	1.63324i	0.295682	−	0.0960730i
$290$	−22.3094	+	38.9808i	−1.31005	+	2.28903i
$291$	9.39785	−	2.28798i	0.550912	−	0.134124i
$292$	16.2745	−	2.57762i	0.952390	−	0.150844i
$293$	−7.39973	+	7.39973i	−0.432297	+	0.432297i	−0.889409	−	0.457112i	$-0.848884\pi$
$293$	−7.39973	+	7.39973i	−0.432297	+	0.432297i	0.457112	+	0.889409i	$0.348884\pi$
$294$	−1.63040	+	21.5973i	−0.0950866	+	1.25958i
$295$	−1.04482	+	0.684150i	−0.0608320	+	0.0398327i
$296$	−0.811866	−	1.11744i	−0.0471888	−	0.0649498i
$297$	5.11015	+	0.352974i	0.296521	+	0.0204816i
$298$	−9.18892	+	18.0343i	−0.532300	+	1.04470i
$299$	−4.53039			−0.261999
$300$	14.9694	+	5.12040i	0.864259	+	0.295626i
$301$	−5.44583			−0.313892
$302$	4.97607	−	9.76609i	0.286341	−	0.561975i
$303$	−5.48712	+	2.29339i	−0.315227	+	0.131752i
$304$	−16.3622	−	22.5207i	−0.938439	−	1.29165i
$305$	7.58495	−	19.9851i	0.434313	−	1.14434i
$306$	−17.8388	+	9.23322i	−1.01977	+	0.527828i
$307$	−6.95771	+	6.95771i	−0.397097	+	0.397097i	−0.877208	−	0.480111i	$-0.840596\pi$
$307$	−6.95771	+	6.95771i	−0.397097	+	0.397097i	0.480111	+	0.877208i	$0.340596\pi$
$308$	−1.38667	+	0.219627i	−0.0790129	+	0.0125144i
$309$	2.02454	+	8.31578i	0.115172	+	0.473068i
$310$	14.4735	+	3.01926i	0.822039	+	0.171482i
$311$	2.10692	−	0.684580i	0.119473	−	0.0388190i	−0.248671	−	0.968588i	$-0.579994\pi$
$311$	2.10692	−	0.684580i	0.119473	−	0.0388190i	0.368143	+	0.929769i	$0.379994\pi$
$312$	−2.36446	−	1.43858i	−0.133861	−	0.0814437i
$313$	−21.3996	+	10.9036i	−1.20958	+	0.616309i	−0.938176	−	0.346158i	$-0.887486\pi$
$313$	−21.3996	+	10.9036i	−1.20958	+	0.616309i	−0.271399	+	0.962467i	$0.587486\pi$
$314$	−6.14271	−	18.9053i	−0.346653	−	1.06689i
$315$	−3.24964	+	4.09746i	−0.183096	+	0.230866i
$316$	−3.69125	+	11.3605i	−0.207649	+	0.639078i
$317$	0.121880	+	0.769521i	0.00684547	+	0.0432206i	0.990875	−	0.134787i	$-0.0430349\pi$
$317$	0.121880	+	0.769521i	0.00684547	+	0.0432206i	−0.984029	+	0.178007i	$0.943035\pi$
$318$	−2.70891	+	11.4442i	−0.151908	+	0.641760i
$319$	−5.94941	+	8.18866i	−0.333103	+	0.458477i
$320$	13.7140	+	5.20489i	0.766638	+	0.290962i
$321$	−2.27641	+	5.54575i	−0.127057	+	0.309534i
$322$	−0.229117	+	1.44659i	−0.0127682	+	0.0806152i
$323$	19.6678	+	10.0213i	1.09435	+	0.557598i
$324$	−13.1770	+	9.83316i	−0.732058	+	0.546287i
$325$	−14.9819	−	18.2175i	−0.831044	−	1.01053i
$326$		−	38.1418i		−	2.11248i
$327$	−0.327696	−	4.00047i	−0.0181216	−	0.221227i
$328$	−1.37003	−	0.216992i	−0.0756473	−	0.0119814i
$329$	2.95306	−	2.14553i	0.162808	−	0.118287i
$330$	6.76350	+	3.16831i	0.372318	+	0.174410i
$331$	−12.1264	−	8.81032i	−0.666525	−	0.484259i	0.202335	−	0.979316i	$-0.435147\pi$
$331$	−12.1264	−	8.81032i	−0.666525	−	0.484259i	−0.868860	+	0.495057i	$0.835147\pi$
$332$	1.84542	+	1.84542i	0.101281	+	0.101281i
$333$	11.6580	+	3.70578i	0.638852	+	0.203076i
$334$	−0.997933	−	0.324248i	−0.0546044	−	0.0177421i
$335$	−13.4034	−	7.67098i	−0.732304	−	0.419111i
$336$	−3.77102	+	4.44394i	−0.205726	+	0.242437i
$337$	10.9434	+	21.4776i	0.596124	+	1.16996i	0.970142	+	0.242537i	$0.0779796\pi$
$337$	10.9434	+	21.4776i	0.596124	+	1.16996i	−0.374019	+	0.927421i	$0.622020\pi$
$338$	−8.21799	−	16.1287i	−0.447000	−	0.877287i
$339$	−3.65616	+	4.30858i	−0.198575	+	0.234010i
$340$	−13.8992	+	1.51405i	−0.753791	+	0.0821107i
$341$	3.16890	+	1.02964i	0.171606	+	0.0557581i
$342$	36.0702	+	11.4658i	1.95045	+	0.620002i
$343$	−7.38253	−	7.38253i	−0.398619	−	0.398619i
$344$	1.91433	+	1.39084i	0.103214	+	0.0749891i
$345$	2.54145	−	2.71581i	0.136827	−	0.146214i
$346$	−25.2113	+	18.3171i	−1.35537	+	0.984733i
$347$	−31.9302	−	5.05725i	−1.71410	−	0.271487i	−0.779299	−	0.626652i	$-0.784425\pi$
$347$	−31.9302	−	5.05725i	−1.71410	−	0.271487i	−0.934804	+	0.355164i	$0.884425\pi$
$348$	−2.65241	−	32.3802i	−0.142184	−	1.73576i
$349$			8.46821i			0.453293i	0.973977	+	0.226646i	$0.0727762\pi$
$349$			8.46821i			0.453293i	−0.973977	+	0.226646i	$0.927224\pi$
$350$	−6.57468	+	3.86250i	−0.351431	+	0.206459i
$351$	24.4169	−	2.15711i	1.30328	−	0.115138i
$352$	6.82148	+	3.47572i	0.363586	+	0.185256i
$353$	5.26415	−	33.2366i	0.280183	−	1.76900i	−0.299437	−	0.954116i	$-0.596799\pi$
$353$	5.26415	−	33.2366i	0.280183	−	1.76900i	0.579619	−	0.814887i	$-0.303201\pi$
$354$	0.718616	−	1.75068i	0.0381940	−	0.0930474i
$355$	−0.939185	+	19.3187i	−0.0498468	+	1.02533i
$356$	10.5774	−	14.5586i	0.560601	−	0.771602i
$357$	1.06454	−	4.49734i	0.0563416	−	0.238024i
$358$	−5.58424	−	35.2575i	−0.295136	−	1.86342i
$359$	2.38803	−	7.34959i	0.126035	−	0.387897i	−0.868053	−	0.496471i	$-0.834629\pi$
$359$	2.38803	−	7.34959i	0.126035	−	0.387897i	0.994088	+	0.108575i	$0.0346287\pi$
$360$	2.18879	−	0.610402i	0.115360	−	0.0321710i
$361$	−6.98158	−	21.4871i	−0.367452	−	1.13090i
$362$	18.1581	−	9.25203i	0.954370	−	0.486276i
$363$	−14.8387	−	9.02815i	−0.778831	−	0.473855i
$364$	−6.38958	+	2.07610i	−0.334905	+	0.108817i
$365$	18.3935	−	8.27284i	0.962762	−	0.433020i
$366$	7.66201	+	31.4717i	0.400500	+	1.64505i
$367$	11.7708	−	1.86431i	0.614431	−	0.0973164i	0.158541	−	0.987352i	$-0.449321\pi$
$367$	11.7708	−	1.86431i	0.614431	−	0.0973164i	0.455890	+	0.890036i	$0.349321\pi$
$368$	2.93115	−	2.93115i	0.152796	−	0.152796i
$369$	10.9100	−	5.64697i	0.567955	−	0.293970i
$370$	13.9039	+	11.1723i	0.722830	+	0.580822i
$371$	−1.59048	−	2.18911i	−0.0825737	−	0.113653i
$372$	−9.86774	+	4.12430i	−0.511619	+	0.213835i
$373$	11.4767	−	22.5244i	0.594243	−	1.16627i	−0.376560	−	0.926392i	$-0.622893\pi$
$373$	11.4767	−	22.5244i	0.594243	−	1.16627i	0.970804	−	0.239876i	$-0.0771067\pi$
$374$	−6.60042			−0.341299
$375$	19.3253	+	1.23850i	0.997953	+	0.0639559i
$376$	−1.58603			−0.0817931
$377$	−21.9895	+	43.1568i	−1.13251	+	2.22269i
$378$	0.546065	−	7.90561i	0.0280866	−	0.406621i
$379$	11.2506	+	15.4851i	0.577904	+	0.795416i	0.993464	−	0.114150i	$-0.0364143\pi$
$379$	11.2506	+	15.4851i	0.577904	+	0.795416i	−0.415560	+	0.909566i	$0.636414\pi$
$380$	20.5364	+	16.5018i	1.05349	+	0.846523i
$381$	1.98233	−	26.2593i	0.101558	−	1.34530i
$382$	23.8412	−	23.8412i	1.21982	−	1.21982i
$383$	20.9309	−	3.31513i	1.06952	−	0.169395i	0.403238	−	0.915095i	$-0.367885\pi$
$383$	20.9309	−	3.31513i	1.06952	−	0.169395i	0.666282	+	0.745700i	$0.267885\pi$
$384$	4.54337	−	1.10612i	0.231853	−	0.0564463i
$385$	−1.56723	+	0.704890i	−0.0798733	+	0.0359245i
$386$	−35.7587	+	11.6187i	−1.82007	+	0.591376i
$387$	−20.9560	+	0.133789i	−1.06526	+	0.00680087i
$388$	−9.08978	+	4.63148i	−0.461464	+	0.235128i
$389$	−3.35765	−	10.3338i	−0.170240	−	0.523944i	0.829144	−	0.559035i	$-0.188828\pi$
$389$	−3.35765	−	10.3338i	−0.170240	−	0.523944i	−0.999384	+	0.0350902i	$0.988828\pi$
$390$	34.3389	+	9.91166i	1.73882	+	0.501896i
$391$	−1.01575	+	3.12615i	−0.0513686	+	0.158096i
$392$	0.338725	+	2.13863i	0.0171082	+	0.108017i
$393$	−2.43819	−	0.577134i	−0.122991	−	0.0291125i
$394$	2.45937	−	3.38503i	0.123901	−	0.170536i
$395$	−0.709964	+	14.6037i	−0.0357222	+	0.734791i
$396$	−5.33064	+	0.879211i	−0.267875	+	0.0441820i
$397$	1.19893	−	7.56976i	0.0601727	−	0.379915i	−0.939163	−	0.343472i	$-0.888397\pi$
$397$	1.19893	−	7.56976i	0.0601727	−	0.379915i	0.999336	−	0.0364437i	$-0.0116029\pi$
$398$	−32.8816	−	16.7540i	−1.64821	−	0.839802i
$399$	−7.41055	+	4.57379i	−0.370991	+	0.228976i
$400$	21.4799	+	2.09346i	1.07399	+	0.104673i
$401$			20.7216i			1.03479i	0.855747	+	0.517395i	$0.173098\pi$
$401$			20.7216i			1.03479i	−0.855747	+	0.517395i	$0.826902\pi$
$402$	23.3229	−	1.91048i	1.16324	−	0.0952861i
$403$	15.7484	+	2.49429i	0.784481	+	0.124250i
$404$	5.07463	−	3.68693i	0.252472	−	0.183432i
$405$	−12.4043	+	15.8472i	−0.616372	+	0.787455i
$406$	12.6682	+	9.20399i	0.628713	+	0.456786i
$407$	2.84233	+	2.84233i	0.140889	+	0.140889i
$408$	−1.52281	+	1.30903i	−0.0753904	+	0.0648068i
$409$	30.3286	+	9.85436i	1.49965	+	0.487267i	0.939917	−	0.341404i	$-0.110902\pi$
$409$	30.3286	+	9.85436i	1.49965	+	0.487267i	0.559736	+	0.828671i	$0.310902\pi$
$410$	17.8071	−	1.93973i	0.879428	−	0.0957963i
$411$	−12.5160	−	10.6208i	−0.617368	−	0.523883i
$412$	−4.09821	−	8.04319i	−0.201904	−	0.396259i
$413$	0.197675	+	0.387959i	0.00972695	+	0.0190902i
$414$	−0.846124	+	5.57223i	−0.0415847	+	0.273860i
$415$	2.77249	+	1.58674i	0.136096	+	0.0778901i
$416$	34.8431	+	11.3212i	1.70832	+	0.555068i
$417$	−7.47825	−	8.69952i	−0.366211	−	0.426017i
$418$	8.79427	+	8.79427i	0.430142	+	0.430142i
$419$	10.4586	+	7.59860i	0.510935	+	0.371216i	0.813178	−	0.582015i	$-0.197736\pi$
$419$	10.4586	+	7.59860i	0.510935	+	0.371216i	−0.302243	+	0.953231i	$0.597736\pi$
$420$	2.33986	−	4.99498i	0.114173	−	0.243730i
$421$	−9.92844	+	7.21344i	−0.483883	+	0.351561i	−0.802827	−	0.596212i	$-0.796672\pi$
$421$	−9.92844	+	7.21344i	−0.483883	+	0.351561i	0.318944	+	0.947773i	$0.396672\pi$
$422$	−9.66663	−	1.53104i	−0.470564	−	0.0745300i
$423$	11.3110	−	8.32873i	0.549957	−	0.404957i
$424$			1.17572i			0.0570982i
$425$	−15.9299	+	6.25358i	−0.772712	+	0.303343i
$426$	−15.3931	−	24.9401i	−0.745796	−	1.20835i
$427$	−6.64034	−	3.38342i	−0.321349	−	0.163735i
$428$	0.989114	−	6.24502i	0.0478106	−	0.301864i
$429$	7.45127	+	3.05859i	0.359751	+	0.147670i
$430$	−28.5681	−	10.8424i	−1.37767	−	0.522869i
$431$	−23.6623	+	32.5684i	−1.13977	+	1.56876i	−0.371760	+	0.928329i	$0.621246\pi$
$431$	−23.6623	+	32.5684i	−1.13977	+	1.56876i	−0.768013	+	0.640434i	$0.778754\pi$
$432$	−14.4020	+	17.1933i	−0.692919	+	0.827215i
$433$	0.109046	+	0.688486i	0.00524039	+	0.0330865i	0.990170	−	0.139869i	$-0.0446682\pi$
$433$	0.109046	+	0.688486i	0.00524039	+	0.0330865i	−0.984930	+	0.172956i	$0.944668\pi$
$434$	1.59290	−	4.90243i	0.0764614	−	0.235324i
$435$	−13.5354	−	37.3919i	−0.648973	−	1.79281i
$436$	1.30824	+	4.02634i	0.0626532	+	0.192827i
$437$	5.51859	−	2.81186i	0.263990	−	0.134510i
$438$	−15.8848	+	26.1083i	−0.759004	+	1.24750i
$439$	−32.6150	+	10.5973i	−1.55663	+	0.505780i	−0.955905	−	0.293677i	$-0.905121\pi$
$439$	−32.6150	+	10.5973i	−1.55663	+	0.505780i	−0.600724	+	0.799456i	$0.705121\pi$
$440$	0.730941	+	0.152479i	0.0348463	+	0.00726914i
$441$	−13.6463	−	13.4731i	−0.649823	−	0.641578i
$442$	−31.1964	+	4.94102i	−1.48386	+	0.235020i
$443$	−20.2627	+	20.2627i	−0.962712	+	0.962712i	−0.999329	−	0.0366177i	$-0.988342\pi$
$443$	−20.2627	+	20.2627i	−0.962712	+	0.962712i	0.0366177	+	0.999329i	$0.488342\pi$
$444$	−12.8656	−	0.971235i	−0.610576	−	0.0460928i
$445$	7.81573	−	20.5932i	0.370501	−	0.976210i
$446$	13.9979	+	19.2665i	0.662822	+	0.912296i
$447$	−6.91082	−	16.5347i	−0.326871	−	0.782065i
$448$	2.32175	−	4.55669i	0.109692	−	0.215283i
$449$	18.2524			0.861386			0.430693	−	0.902499i	$-0.358269\pi$
$449$	18.2524			0.861386			0.430693	+	0.902499i	$0.358269\pi$
$450$	−25.2051	+	15.0248i	−1.18818	+	0.708275i
$451$	4.03677			0.190084
$452$	2.70580	−	5.31043i	0.127270	−	0.249782i
$453$	3.74241	+	8.95403i	0.175834	+	0.420697i
$454$	−17.2359	−	23.7231i	−0.808919	−	1.11338i
$455$	−6.87970	+	4.50482i	−0.322525	+	0.211189i
$456$	3.77310	+	0.284834i	0.176692	+	0.0133386i
$457$	−15.1979	+	15.1979i	−0.710929	+	0.710929i	−0.966730	−	0.255800i	$-0.917661\pi$
$457$	−15.1979	+	15.1979i	−0.710929	+	0.710929i	0.255800	+	0.966730i	$0.417661\pi$
$458$	29.5994	−	4.68809i	1.38309	−	0.219060i
$459$	3.98597	−	17.3323i	0.186049	−	0.809004i
$460$	−1.94866	+	3.40485i	−0.0908567	+	0.158752i
$461$	−17.1732	+	5.57990i	−0.799835	+	0.259882i	−0.680286	−	0.732946i	$-0.738145\pi$
$461$	−17.1732	+	5.57990i	−0.799835	+	0.259882i	−0.119548	+	0.992828i	$0.538145\pi$
$462$	1.35347	−	2.22457i	0.0629690	−	0.103496i
$463$	−9.06411	+	4.61839i	−0.421245	+	0.214635i	−0.651746	−	0.758437i	$-0.725963\pi$
$463$	−9.06411	+	4.61839i	−0.421245	+	0.214635i	0.230502	+	0.973072i	$0.425963\pi$
$464$	−13.6952	−	42.1494i	−0.635782	−	1.95674i
$465$	−10.3297	+	8.04136i	−0.479029	+	0.372909i
$466$	1.30868	−	4.02770i	0.0606233	−	0.186579i
$467$	−1.76013	−	11.1130i	−0.0814493	−	0.514250i	−0.994357	−	0.106085i	$-0.966169\pi$
$467$	−1.76013	−	11.1130i	−0.0814493	−	0.514250i	0.912908	−	0.408166i	$-0.133831\pi$
$468$	−24.5367	+	8.14599i	−1.13421	+	0.376549i
$469$	−3.16475	+	4.35591i	−0.146135	+	0.201137i
$470$	19.7630	−	5.37570i	0.911601	−	0.247963i
$471$	16.2819	+	6.68337i	0.750230	+	0.307954i
$472$	0.0295960	−	0.186862i	0.00136226	−	0.00860100i
$473$	−6.13568	−	3.12629i	−0.282119	−	0.143747i
$474$	−11.6362	−	18.8532i	−0.534467	−	0.865954i
$475$	29.5568	+	12.8925i	1.35616	+	0.591548i
$476$			4.87454i			0.223424i
$477$	−6.17410	−	8.38483i	−0.282693	−	0.383915i
$478$	44.0393	+	6.97514i	2.01431	+	0.319035i
$479$	−14.0049	+	10.1752i	−0.639901	+	0.464915i	−0.859816	−	0.510604i	$-0.829422\pi$
$479$	−14.0049	+	10.1752i	−0.639901	+	0.464915i	0.219915	+	0.975519i	$0.429422\pi$
$480$	−26.3329	+	14.5363i	−1.20193	+	0.663489i
$481$	15.5618	+	11.3063i	0.709556	+	0.515522i
$482$	3.16099	+	3.16099i	0.143979	+	0.143979i
$483$	−0.845332	−	0.983383i	−0.0384639	−	0.0447455i
$484$	17.4233	+	5.66118i	0.791969	+	0.257326i
$485$	−9.24794	+	8.39045i	−0.419927	+	0.380991i
$486$	1.90709	−	30.4349i	0.0865074	−	1.38056i
$487$	−4.82316	−	9.46599i	−0.218558	−	0.428945i	0.755530	−	0.655115i	$-0.227380\pi$
$487$	−4.82316	−	9.46599i	−0.218558	−	0.428945i	−0.974088	+	0.226170i	$0.927380\pi$
$488$	1.47011	+	2.88526i	0.0665490	+	0.130610i
$489$	25.7494	+	21.8503i	1.16443	+	0.988105i
$490$	−11.4695	−	25.5008i	−0.518137	−	1.15201i
$491$	−7.07290	−	2.29812i	−0.319195	−	0.103713i	0.145037	−	0.989426i	$-0.453670\pi$
$491$	−7.07290	−	2.29812i	−0.319195	−	0.103713i	−0.464233	+	0.885713i	$0.653670\pi$
$492$	−9.82580	+	8.44642i	−0.442981	+	0.380794i
$493$	24.8497	+	24.8497i	1.11917	+	1.11917i
$494$	48.1487	+	34.9821i	2.16631	+	1.57392i
$495$	−6.01352	+	2.75099i	−0.270288	+	0.123648i
$496$	−11.8029	+	8.57533i	−0.529967	+	0.385044i
$497$	6.66027	+	1.05488i	0.298754	+	0.0473179i
$498$	−4.82434	+	0.395183i	−0.216184	+	0.0177086i
$499$			22.9184i			1.02597i	0.858398	+	0.512985i	$0.171460\pi$
$499$			22.9184i			1.02597i	−0.858398	+	0.512985i	$0.828540\pi$
$500$	−20.1357	+	3.42385i	−0.900496	+	0.153119i
$501$	0.790585	−	0.487949i	0.0353207	−	0.0218000i
$502$	−24.9646	−	12.7201i	−1.11422	−	0.567725i
$503$	−1.32865	+	8.38878i	−0.0592416	+	0.374037i	0.940200	+	0.340623i	$0.110638\pi$
$503$	−1.32865	+	8.38878i	−0.0592416	+	0.374037i	−0.999442	+	0.0334140i	$0.989362\pi$
$504$	−0.128925	−	0.781667i	−0.00574276	−	0.0348182i
$505$	4.80912	−	5.98492i	0.214003	−	0.266325i
$506$	−1.08858	+	1.49831i	−0.0483934	+	0.0666078i
$507$	15.5963	+	3.69172i	0.692655	+	0.163955i
$508$	4.34500	+	27.4332i	0.192778	+	1.21715i
$509$	−0.901786	+	2.77541i	−0.0399710	+	0.123018i	−0.969051	−	0.246861i	$-0.920601\pi$
$509$	−0.901786	+	2.77541i	−0.0399710	+	0.123018i	0.929080	+	0.369879i	$0.120601\pi$
$510$	14.5385	−	21.4730i	0.643775	−	0.950839i
$511$	−2.17288	−	6.68742i	−0.0961223	−	0.295834i
$512$	−27.2627	+	13.8910i	−1.20485	+	0.613902i
$513$	−28.4041	+	17.7824i	−1.25407	+	0.785113i
$514$	11.3451	−	3.68625i	0.500411	−	0.162594i
$515$	−7.42437	−	8.18314i	−0.327157	−	0.360592i
$516$	21.4761	−	5.22851i	0.945431	−	0.230172i
$517$	4.55883	−	0.722048i	0.200497	−	0.0317556i
$518$	4.39720	−	4.39720i	0.193202	−	0.193202i
$519$	2.07700	−	27.5134i	0.0911704	−	1.20770i
$520$	3.56888	+	0.173503i	0.156506	+	0.00760859i
$521$	4.48976	+	6.17962i	0.196700	+	0.270734i	0.895962	−	0.444132i	$-0.146488\pi$
$521$	4.48976	+	6.17962i	0.196700	+	0.270734i	−0.699262	+	0.714866i	$0.746488\pi$
$522$	48.9745	+	35.1066i	2.14356	+	1.53657i
$523$	3.05143	−	5.98876i	0.133430	−	0.261870i	−0.814619	−	0.579997i	$-0.803054\pi$
$523$	3.05143	−	5.98876i	0.133430	−	0.261870i	0.948048	+	0.318127i	$0.103054\pi$
$524$	2.64269			0.115447
$525$	1.15887	−	6.65126i	0.0505774	−	0.290285i
$526$	60.9762			2.65869
$527$	5.25207	−	10.3078i	0.228784	−	0.449013i
$528$	−6.79985	+	2.84205i	−0.295925	+	0.123684i
$529$	−12.9769	−	17.8612i	−0.564215	−	0.776575i
$530$	−3.98501	−	14.6504i	−0.173098	−	0.636372i
$531$	0.770203	+	1.48805i	0.0334240	+	0.0645757i
$532$	6.49475	−	6.49475i	0.281583	−	0.281583i
$533$	19.0795	−	3.02189i	0.826423	−	0.130893i
$534$	7.89514	+	32.4292i	0.341656	+	1.40335i
$535$	−0.838079	−	7.69372i	−0.0362333	−	0.332628i
$536$	2.22496	−	0.722933i	0.0961037	−	0.0312260i
$537$	27.0013	+	16.4281i	1.16519	+	0.708923i
$538$	−25.7114	+	13.1006i	−1.10850	+	0.564808i
$539$	−1.94724	−	5.99300i	−0.0838737	−	0.258137i
$540$	8.88128	−	19.2786i	0.382190	−	0.829620i
$541$	−4.34775	+	13.3810i	−0.186924	+	0.575294i	−0.999976	−	0.00689744i	$-0.997804\pi$
$541$	−4.34775	+	13.3810i	−0.186924	+	0.575294i	0.813052	+	0.582191i	$0.197804\pi$
$542$	−7.52515	−	47.5119i	−0.323233	−	2.04081i
$543$	−4.15624	+	17.5587i	−0.178361	+	0.753516i
$544$	15.6242	−	21.5048i	0.669881	−	0.922012i
$545$	2.83868	+	4.33519i	0.121596	+	0.185699i
$546$	4.73176	−	11.5274i	0.202501	−	0.493328i
$547$	2.93480	−	18.5296i	0.125483	−	0.792269i	−0.842027	−	0.539436i	$-0.818638\pi$
$547$	2.93480	−	18.5296i	0.125483	−	0.792269i	0.967510	−	0.252833i	$-0.0813623\pi$
$548$	15.4263	+	7.86007i	0.658977	+	0.335766i
$549$	−25.6358	−	12.8566i	−1.09411	−	0.548706i
$550$	−9.62488	+	0.577465i	−0.410406	+	0.0246232i
$551$		−	66.2186i		−	2.82101i
$552$	0.0460011	+	0.561575i	0.00195794	+	0.0239022i
$553$	5.03474	+	0.797424i	0.214099	+	0.0339099i
$554$	−5.30365	+	3.85333i	−0.225331	+	0.163712i
$555$	−15.5075	+	2.98618i	−0.658259	+	0.126756i
$556$	9.78894	+	7.11208i	0.415143	+	0.301619i
$557$	4.41902	+	4.41902i	0.187240	+	0.187240i	0.794502	−	0.607262i	$-0.207732\pi$
$557$	4.41902	+	4.41902i	0.187240	+	0.187240i	−0.607262	+	0.794502i	$0.707732\pi$
$558$	6.00917	−	18.9041i	0.254388	−	0.800275i
$559$	−31.3401	−	10.1830i	−1.32555	−	0.430696i
$560$	1.53654	−	7.36575i	0.0649307	−	0.311260i
$561$	3.78118	−	4.45592i	0.159642	−	0.188129i
$562$	0.440201	+	0.863943i	0.0185688	+	0.0364432i
$563$	−20.0350	−	39.3209i	−0.844375	−	1.65718i	−0.749802	−	0.661662i	$-0.769851\pi$
$563$	−20.0350	−	39.3209i	−0.844375	−	1.65718i	−0.0945733	−	0.995518i	$-0.530149\pi$
$564$	−9.58575	+	11.2963i	−0.403633	+	0.475660i
$565$	1.48974	−	7.14140i	0.0626738	−	0.300441i
$566$	−42.6129	−	13.8458i	−1.79115	−	0.581981i
$567$	5.02423	+	4.89754i	0.210998	+	0.205677i
$568$	−2.07182	−	2.07182i	−0.0869316	−	0.0869316i
$569$	−7.36407	−	5.35031i	−0.308718	−	0.224297i	0.422628	−	0.906303i	$-0.361108\pi$
$569$	−7.36407	−	5.35031i	−0.308718	−	0.224297i	−0.731346	+	0.682006i	$0.761108\pi$
$570$	−47.9810	+	9.23936i	−2.00970	+	0.386994i
$571$	14.7509	−	10.7172i	0.617307	−	0.448500i	−0.234673	−	0.972074i	$-0.575402\pi$
$571$	14.7509	−	10.7172i	0.617307	−	0.448500i	0.851980	+	0.523575i	$0.175402\pi$
$572$	−8.39081	−	1.32897i	−0.350837	−	0.0555672i
$573$	2.43720	+	29.7530i	0.101815	+	1.24295i
$574$		−	6.24505i		−	0.260663i
$575$	−1.20768	+	4.64749i	−0.0503638	+	0.193814i
$576$	8.82236	−	17.5916i	0.367598	−	0.732983i
$577$	29.5375	+	15.0501i	1.22966	+	0.626544i	0.943416	−	0.331613i	$-0.107593\pi$
$577$	29.5375	+	15.0501i	1.22966	+	0.626544i	0.286245	+	0.958156i	$0.407593\pi$
$578$	1.61741	−	10.2119i	0.0672755	−	0.424761i
$579$	12.6413	−	30.7966i	0.525356	−	1.27986i
$580$	22.9765	+	35.0894i	0.954048	+	1.45701i
$581$	0.654629	−	0.901019i	0.0271586	−	0.0373806i
$582$	4.35835	−	18.4126i	0.180660	−	0.763226i
$583$	−0.535255	−	3.37947i	−0.0221680	−	0.139963i
$584$	−0.944126	+	2.90572i	−0.0390682	+	0.120240i
$585$	−26.3631	+	17.5040i	−1.08998	+	0.723701i
$586$	6.32606	+	19.4696i	0.261327	+	0.804282i
$587$	26.4642	−	13.4842i	1.09229	−	0.556551i	0.187440	−	0.982276i	$-0.439981\pi$
$587$	26.4642	−	13.4842i	1.09229	−	0.556551i	0.904853	+	0.425725i	$0.139981\pi$
$588$	17.2793	+	10.5131i	0.712588	+	0.433551i
$589$	−20.7316	+	6.73611i	−0.854232	+	0.277557i
$590$	0.264564	+	2.42875i	0.0108919	+	0.0999899i
$591$	0.876325	+	3.59950i	0.0360472	+	0.148064i
$592$	−17.3835	+	2.75328i	−0.714459	+	0.113159i
$593$	−15.2390	+	15.2390i	−0.625792	+	0.625792i	−0.947006	−	0.321215i	$-0.895909\pi$
$593$	−15.2390	+	15.2390i	−0.625792	+	0.625792i	0.321215	+	0.947006i	$0.395909\pi$
$594$	5.15361	−	8.59359i	0.211455	−	0.352599i
$595$	1.56603	+	5.75729i	0.0642008	+	0.236026i
$596$	11.1101	+	15.2917i	0.455087	+	0.626373i
$597$	30.1475	−	12.6004i	1.23385	−	0.515699i
$598$	−4.02348	+	7.89653i	−0.164532	+	0.322913i
$599$	29.5824			1.20870			0.604351	−	0.796718i	$-0.293432\pi$
$599$	29.5824			1.20870			0.604351	+	0.796718i	$0.293432\pi$
$600$	−2.10607	+	2.04209i	−0.0859800	+	0.0833681i
$601$	−27.6332			−1.12718			−0.563591	−	0.826054i	$-0.690581\pi$
$601$	−27.6332			−1.12718			−0.563591	+	0.826054i	$0.690581\pi$
$602$	−4.83650	+	9.49216i	−0.197121	+	0.386871i
$603$	−12.0712	+	16.8397i	−0.491579	+	0.685765i
$604$	−6.01643	−	8.28091i	−0.244805	−	0.336945i
$605$	22.3973	+	1.08886i	0.910580	+	0.0442683i
$606$	−0.875760	+	11.6009i	−0.0355753	+	0.471255i
$607$	−20.2336	+	20.2336i	−0.821256	+	0.821256i	−0.986288	−	0.165032i	$-0.947227\pi$
$607$	−20.2336	+	20.2336i	−0.821256	+	0.821256i	0.165032	+	0.986288i	$0.447227\pi$
$608$	−49.4700	+	7.83528i	−2.00627	+	0.317763i
$609$	−13.4708	+	3.27957i	−0.545865	+	0.132895i
$610$	−28.0981	−	30.9697i	−1.13766	−	1.25392i
$611$	21.0064	−	6.82540i	0.849829	−	0.276126i
$612$	0.119754	+	18.7577i	0.00484077	+	0.758235i
$613$	12.0999	−	6.16521i	0.488711	−	0.249011i	−0.192229	−	0.981350i	$-0.561572\pi$
$613$	12.0999	−	6.16521i	0.488711	−	0.249011i	0.680940	+	0.732340i	$0.261572\pi$
$614$	5.94817	+	18.3066i	0.240049	+	0.738794i
$615$	−8.89163	+	13.1327i	−0.358545	+	0.529562i
$616$	0.0804445	−	0.247583i	0.00324120	−	0.00997540i
$617$	−5.28301	−	33.3556i	−0.212686	−	1.34285i	−0.830718	−	0.556694i	$-0.812070\pi$
$617$	−5.28301	−	33.3556i	−0.212686	−	1.34285i	0.618032	−	0.786153i	$-0.287930\pi$
$618$	16.2926	+	3.85653i	0.655383	+	0.155133i
$619$	12.4660	−	17.1580i	0.501052	−	0.689638i	−0.481327	−	0.876541i	$-0.659845\pi$
$619$	12.4660	−	17.1580i	0.501052	−	0.689638i	0.982378	+	0.186903i	$0.0598450\pi$
$620$	8.64846	−	10.7630i	0.347331	−	0.432251i
$621$	−3.27708	−	3.76338i	−0.131504	−	0.151019i
$622$	0.677945	−	4.28038i	0.0271831	−	0.171628i
$623$	−6.84238	−	3.48637i	−0.274134	−	0.139678i
$624$	−30.0114	+	18.5230i	−1.20142	+	0.741515i
$625$	−22.6822	+	10.5128i	−0.907287	+	0.420512i
$626$			46.9834i			1.87783i
$627$	−10.9750	+	0.899007i	−0.438298	+	0.0359029i
$628$	−18.3349	−	2.90396i	−0.731642	−	0.115881i
$629$	11.2909	−	8.20329i	0.450196	−	0.327087i
$630$	4.25589	+	9.30317i	0.169559	+	0.370647i
$631$	−6.46706	−	4.69860i	−0.257450	−	0.187048i	0.451572	−	0.892235i	$-0.350863\pi$
$631$	−6.46706	−	4.69860i	−0.257450	−	0.187048i	−0.709022	+	0.705186i	$0.750863\pi$
$632$	−1.56616	−	1.56616i	−0.0622986	−	0.0622986i
$633$	6.57133	−	5.64882i	0.261187	−	0.224520i
$634$	1.44953	+	0.470981i	0.0575682	+	0.0187050i
$635$	13.9452	+	31.0053i	0.553399	+	1.23041i
$636$	8.37396	+	7.10593i	0.332049	+	0.281768i
$637$	−13.6898	−	26.8678i	−0.542410	−	1.06454i
$638$	8.98923	+	17.6424i	0.355887	+	0.698468i
$639$	25.6552	+	3.89566i	1.01491	+	0.154110i
$640$	−4.47090	+	4.05634i	−0.176728	+	0.160341i
$641$	39.9287	+	12.9736i	1.57709	+	0.512427i	0.961304	−	0.275488i	$-0.0888395\pi$
$641$	39.9287	+	12.9736i	1.57709	+	0.512427i	0.615784	+	0.787915i	$0.288840\pi$
$642$	7.64462	+	8.89306i	0.301709	+	0.350981i
$643$	10.8134	+	10.8134i	0.426437	+	0.426437i	0.887413	−	0.460975i	$-0.152500\pi$
$643$	10.8134	+	10.8134i	0.426437	+	0.426437i	−0.460975	+	0.887413i	$0.652500\pi$
$644$	1.10653	+	0.803941i	0.0436034	+	0.0316797i
$645$	23.6855	−	13.0749i	0.932616	−	0.514824i
$646$	34.9344	−	25.3813i	1.37448	−	0.998615i
$647$	−0.421374	−	0.0667390i	−0.0165659	−	0.00262378i	0.148146	−	0.988965i	$-0.452669\pi$
$647$	−0.421374	−	0.0667390i	−0.0165659	−	0.00262378i	−0.164712	+	0.986342i	$0.552669\pi$
$648$	−0.515317	−	3.00476i	−0.0202436	−	0.118038i
$649$			0.550584i			0.0216123i
$650$	−45.0589	+	9.93444i	−1.76736	+	0.389661i
$651$	2.39709	+	3.88381i	0.0939494	+	0.152219i
$652$	−31.7368	−	16.1707i	−1.24291	−	0.633293i
$653$	1.32998	−	8.39719i	0.0520463	−	0.328608i	−0.947903	−	0.318559i	$-0.896801\pi$
$653$	1.32998	−	8.39719i	0.0520463	−	0.328608i	0.999950	−	0.0100490i	$-0.00319874\pi$
$654$	−7.26391	−	2.98168i	−0.284042	−	0.116593i
$655$	3.12127	−	0.849009i	0.121958	−	0.0331735i
$656$	−10.3892	+	14.2995i	−0.405630	+	0.558302i
$657$	−8.52571	−	25.6804i	−0.332620	−	1.00189i
$658$	−1.11704	−	7.05270i	−0.0435467	−	0.274943i
$659$	−11.7433	+	36.1421i	−0.457453	+	1.40790i	0.410778	+	0.911735i	$0.365257\pi$
$659$	−11.7433	+	36.1421i	−0.457453	+	1.40790i	−0.868231	+	0.496160i	$0.834743\pi$
$660$	5.50373	−	4.28448i	0.214233	−	0.166773i
$661$	5.76600	+	17.7459i	0.224271	+	0.690236i	0.998365	+	0.0571648i	$0.0182061\pi$
$661$	5.76600	+	17.7459i	0.224271	+	0.690236i	−0.774093	+	0.633071i	$0.781794\pi$
$662$	−26.1261	+	13.3119i	−1.01542	+	0.517382i
$663$	14.5358	−	23.8911i	0.564524	−	0.927854i
$664$	−0.460233	+	0.149539i	−0.0178605	+	0.00580323i
$665$	5.58436	−	9.75745i	0.216552	−	0.378378i
$666$	16.8128	−	17.0288i	0.651482	−	0.659854i
$667$	9.73930	−	1.54255i	0.377107	−	0.0597279i
$668$	−0.692884	+	0.692884i	−0.0268085	+	0.0268085i
$669$	−21.0258	−	1.58725i	−0.812904	−	0.0613666i
$670$	−25.2743	+	16.5496i	−0.976432	+	0.639366i
$671$	−5.53919	−	7.62404i	−0.213838	−	0.294323i
$672$	4.04400	+	9.67562i	0.156001	+	0.373245i
$673$	6.90421	−	13.5503i	0.266138	−	0.522325i	−0.718804	−	0.695213i	$-0.755310\pi$
$673$	6.90421	−	13.5503i	0.266138	−	0.522325i	0.984941	+	0.172888i	$0.0553100\pi$
$674$	47.1547			1.81633
$675$	4.29605	−	25.6231i	0.165355	−	0.986234i
$676$	−16.9044			−0.650169
$677$	−3.54092	+	6.94944i	−0.136089	+	0.267089i	−0.948986	−	0.315318i	$-0.897889\pi$
$677$	−3.54092	+	6.94944i	−0.136089	+	0.267089i	0.812898	+	0.582407i	$0.197889\pi$
$678$	4.26285	+	10.1992i	0.163714	+	0.391699i
$679$	2.55892	+	3.52205i	0.0982024	+	0.135164i
$680$	0.919895	−	2.42377i	0.0352764	−	0.0929474i
$681$	25.8893	+	1.95440i	0.992081	+	0.0748929i
$682$	4.60901	−	4.60901i	0.176488	−	0.176488i
$683$	−12.9039	+	2.04378i	−0.493754	+	0.0782029i	−0.398346	−	0.917235i	$-0.630416\pi$
$683$	−12.9039	+	2.04378i	−0.493754	+	0.0782029i	−0.0954080	+	0.995438i	$0.530416\pi$
$684$	24.8328	−	25.1520i	0.949507	−	0.961709i
$685$	20.7450	+	4.32754i	0.792627	+	0.165347i
$686$	−19.4244	+	6.31136i	−0.741626	+	0.240969i
$687$	−13.7917	+	22.6682i	−0.526187	+	0.864844i
$688$	26.8653	−	13.6886i	1.02423	−	0.521872i
$689$	−5.05968	−	15.5721i	−0.192759	−	0.593250i
$690$	−2.47662	−	6.84172i	−0.0942832	−	0.260460i
$691$	−13.0283	+	40.0970i	−0.495620	+	1.52536i	0.320368	+	0.947293i	$0.396193\pi$
$691$	−13.0283	+	40.0970i	−0.495620	+	1.52536i	−0.815988	+	0.578068i	$0.803807\pi$
$692$	4.55251	+	28.7434i	0.173061	+	1.09266i
$693$	0.726436	+	2.18811i	0.0275950	+	0.0831194i
$694$	−37.1724	+	51.1634i	−1.41105	+	1.94214i
$695$	13.8465	+	5.25517i	0.525228	+	0.199340i
$696$	5.57288	+	2.28755i	0.211240	+	0.0867093i
$697$	2.19254	−	13.8431i	0.0830482	−	0.524346i
$698$	14.7602	+	7.52071i	0.558682	+	0.284663i
$699$	1.96938	+	3.19083i	0.0744889	+	0.120688i
$700$	0.426470	+	7.10817i	0.0161190	+	0.268664i
$701$			42.0365i			1.58770i	0.608116	+	0.793848i	$0.291925\pi$
$701$			42.0365i			1.58770i	−0.608116	+	0.793848i	$0.708075\pi$
$702$	17.9251	−	44.4749i	0.676538	−	1.67860i
$703$	−25.9737	−	4.11382i	−0.979615	−	0.155156i
$704$	5.23172	−	3.80106i	0.197178	−	0.143258i
$705$	−7.69255	+	16.4215i	−0.289718	+	0.618471i
$706$	−53.2567	−	38.6932i	−2.00434	−	1.45624i
$707$	−1.89277	−	1.89277i	−0.0711848	−	0.0711848i
$708$	−1.15203	−	1.34016i	−0.0432958	−	0.0503664i
$709$	−28.0166	−	9.10314i	−1.05219	−	0.341876i	−0.268660	−	0.963235i	$-0.586581\pi$
$709$	−28.0166	−	9.10314i	−1.05219	−	0.341876i	−0.783526	+	0.621359i	$0.786581\pi$
$710$	32.8386	+	18.7941i	1.23241	+	0.705331i
$711$	19.3937	+	2.94487i	0.727322	+	0.110441i
$712$	1.51485	+	2.97305i	0.0567712	+	0.111420i
$713$	−1.47368	−	2.89225i	−0.0551896	−	0.108316i
$714$	−6.89350	−	5.84965i	−0.257983	−	0.218918i
$715$	−10.3373	+	1.12604i	−0.386592	+	0.0421116i
$716$	−31.7043	−	10.3014i	−1.18485	−	0.384980i
$717$	−29.9377	+	25.7349i	−1.11804	+	0.961089i
$718$	−10.6896	−	10.6896i	−0.398933	−	0.398933i
$719$	−25.9550	−	18.8574i	−0.967957	−	0.703262i	−0.0129720	−	0.999916i	$-0.504129\pi$
$719$	−25.9550	−	18.8574i	−0.967957	−	0.703262i	−0.954985	+	0.296654i	$0.904129\pi$
$720$	5.73180	−	28.3818i	0.213611	−	1.05773i
$721$	−3.11653	+	2.26429i	−0.116066	+	0.0843265i
$722$	−43.6527	−	6.91392i	−1.62459	−	0.257309i
$723$	−3.94481	+	0.323137i	−0.146709	+	0.0120176i
$724$		−	19.0314i		−	0.707297i
$725$	38.4105	+	34.0623i	1.42653	+	1.26504i
$726$	−28.9146	+	17.8461i	−1.07312	+	0.662332i
$727$	42.0031	+	21.4016i	1.55781	+	0.793742i	0.999359	−	0.0357969i	$-0.0113970\pi$
$727$	42.0031	+	21.4016i	1.55781	+	0.793742i	0.558448	+	0.829539i	$0.311397\pi$
$728$	0.194876	−	1.23040i	0.00722260	−	0.0456017i
$729$	19.4540	+	18.7227i	0.720519	+	0.693435i
$730$	1.91581	−	39.4074i	0.0709073	−	1.45853i
$731$	−14.0534	+	19.3428i	−0.519784	+	0.715421i
$732$	29.4351	+	6.96745i	1.08795	+	0.257524i
$733$	0.582209	+	3.67592i	0.0215044	+	0.135773i	0.996105	−	0.0881779i	$-0.0281044\pi$
$733$	0.582209	+	3.67592i	0.0215044	+	0.135773i	−0.974600	+	0.223951i	$0.928104\pi$
$734$	7.20426	−	22.1724i	0.265914	−	0.818399i
$735$	23.7860	+	6.86564i	0.877360	+	0.253243i
$736$	−2.30480	−	7.09343i	−0.0849559	−	0.261467i
$737$	−6.06625	+	3.09091i	−0.223453	+	0.113855i
$738$	−0.153423	−	24.0315i	−0.00564759	−	0.884612i
$739$	45.0233	−	14.6289i	1.65621	−	0.538134i	0.676136	−	0.736777i	$-0.263653\pi$
$739$	45.0233	−	14.6289i	1.65621	−	0.538134i	0.980072	+	0.198643i	$0.0636533\pi$
$740$	15.1909	−	6.83241i	0.558430	−	0.251165i
$741$	−51.1993	+	12.4649i	−1.88085	+	0.457908i
$742$	−5.22818	+	0.828062i	−0.191932	+	0.0303991i
$743$	37.4947	−	37.4947i	1.37555	−	1.37555i	0.523556	−	0.851991i	$-0.324605\pi$
$743$	37.4947	−	37.4947i	1.37555	−	1.37555i	0.851991	−	0.523556i	$-0.175395\pi$
$744$	0.149279	−	1.97745i	0.00547284	−	0.0724970i
$745$	18.0348	+	14.4916i	0.660742	+	0.530933i
$746$	−29.0677	−	40.0083i	−1.06424	−	1.46481i
$747$	2.49694	−	3.48329i	0.0913581	−	0.127447i
$748$	−2.79833	+	5.49203i	−0.102317	+	0.200809i
$749$	−2.69823			−0.0985913
$750$	19.3217	−	32.5843i	0.705529	−	1.18981i
$751$	−21.2697			−0.776142			−0.388071	−	0.921629i	$-0.626858\pi$
$751$	−21.2697			−0.776142			−0.388071	+	0.921629i	$0.626858\pi$
$752$	−9.17508	+	18.0071i	−0.334581	+	0.656652i
$753$	22.8887	−	9.56654i	0.834112	−	0.348624i
$754$	55.6938	+	76.6559i	2.02825	+	2.79164i
$755$	−9.76635	−	7.84765i	−0.355434	−	0.285605i
$756$	−6.34654	−	3.80605i	−0.230821	−	0.138425i
$757$	−22.1455	+	22.1455i	−0.804891	+	0.804891i	−0.983856	−	0.178964i	$-0.942725\pi$
$757$	−22.1455	+	22.1455i	−0.804891	+	0.804891i	0.178964	+	0.983856i	$0.442725\pi$
$758$	36.9825	−	5.85746i	1.34327	−	0.212752i
$759$	−0.387885	−	1.59323i	−0.0140793	−	0.0578307i
$760$	−4.45504	+	2.00374i	−0.161601	+	0.0726832i
$761$	33.4555	−	10.8703i	1.21276	−	0.394050i	0.368320	−	0.929699i	$-0.379933\pi$
$761$	33.4555	−	10.8703i	1.21276	−	0.394050i	0.844440	+	0.535649i	$0.179933\pi$
$762$	−44.0098	−	26.7764i	−1.59431	−	0.970006i
$763$	1.60972	−	0.820194i	0.0582758	−	0.0296930i
$764$	−9.72984	−	29.9454i	−0.352013	−	1.08339i
$765$	6.16766	+	22.1161i	0.222992	+	0.799610i
$766$	12.8106	−	39.4271i	0.462867	−	1.42456i
$767$	0.412162	+	2.60229i	0.0148823	+	0.0939632i
$768$	7.34138	−	31.0148i	0.264909	−	1.11915i
$769$	17.0696	−	23.4943i	0.615545	−	0.847225i	−0.381474	−	0.924380i	$-0.624583\pi$
$769$	17.0696	−	23.4943i	0.615545	−	0.847225i	0.997019	+	0.0771542i	$0.0245834\pi$
$770$	−0.163237	+	3.35772i	−0.00588266	+	0.121004i
$771$	−4.01070	+	9.77079i	−0.144442	+	0.351886i
$772$	−5.49273	+	34.6798i	−0.197688	+	1.24815i
$773$	−35.2461	−	17.9588i	−1.26771	−	0.645933i	−0.314796	−	0.949159i	$-0.601936\pi$
$773$	−35.2461	−	17.9588i	−1.26771	−	0.645933i	−0.952918	+	0.303227i	$0.901936\pi$
$774$	−18.3781	+	36.6455i	−0.660587	+	1.31720i
$775$	6.75687	−	15.4905i	0.242714	−	0.556436i
$776$		−	1.89162i		−	0.0679051i
$777$	0.449510	+	5.48756i	0.0161261	+	0.196865i
$778$	−20.9939	−	3.32511i	−0.752669	−	0.119211i
$779$	−21.3656	+	15.5230i	−0.765503	+	0.556170i
$780$	22.8056	−	24.3703i	0.816573	−	0.872597i
$781$	6.89839	+	5.01197i	0.246844	+	0.179342i
$782$	4.54683	+	4.54683i	0.162594	+	0.162594i
$783$	−51.7564	+	12.9510i	−1.84962	+	0.462832i
$784$	26.2406	+	8.52609i	0.937165	+	0.304503i
$785$	−22.5882	+	2.46053i	−0.806206	+	0.0878202i
$786$	−3.17134	+	3.73725i	−0.113118	+	0.133303i
$787$	−6.02216	−	11.8192i	−0.214667	−	0.421307i	0.758413	−	0.651774i	$-0.225975\pi$
$787$	−6.02216	−	11.8192i	−0.214667	−	0.421307i	−0.973080	+	0.230466i	$0.925975\pi$
$788$	−1.77392	−	3.48151i	−0.0631931	−	0.124024i
$789$	−34.9314	+	41.1648i	−1.24359	+	1.46551i
$790$	24.8239	+	14.2072i	0.883195	+	0.505468i
$791$	−2.41892	−	0.785955i	−0.0860069	−	0.0279453i
$792$	0.303476	−	0.954698i	0.0107835	−	0.0339237i
$793$	−31.8878	−	31.8878i	−1.13237	−	1.13237i
$794$	−12.1294	−	8.81254i	−0.430457	−	0.312745i
$795$	12.1733	+	5.70250i	0.431743	+	0.202247i
$796$	−27.8811	+	20.2568i	−0.988220	+	0.717984i
$797$	22.9393	+	3.63324i	0.812553	+	0.128696i	0.548864	−	0.835912i	$-0.315061\pi$
$797$	22.9393	+	3.63324i	0.812553	+	0.128696i	0.263690	+	0.964608i	$0.415061\pi$
$798$	1.39080	+	16.9787i	0.0492339	+	0.601040i
$799$		−	16.0256i		−	0.566945i
$800$	20.9021	−	32.7258i	0.739001	−	1.15703i
$801$	−26.4158	−	13.2478i	−0.933355	−	0.468087i
$802$	36.1181	+	18.4031i	1.27538	+	0.649836i
$803$	1.39092	−	8.78194i	0.0490846	−	0.309908i
$804$	8.29838	−	20.2163i	0.292661	−	0.712975i
$805$	1.56519	+	0.594039i	0.0551658	+	0.0209371i
$806$	18.3339	−	25.2344i	0.645783	−	0.888844i
$807$	5.88513	−	24.8627i	0.207166	−	0.875208i
$808$	0.181945	+	1.14875i	0.00640080	+	0.0404130i
$809$	7.57984	−	23.3283i	0.266493	−	0.820181i	−0.724853	−	0.688904i	$-0.758092\pi$
$809$	7.57984	−	23.3283i	0.266493	−	0.820181i	0.991346	−	0.131277i	$-0.0419077\pi$
$810$	16.6056	+	35.6949i	0.583462	+	1.25419i
$811$	−7.17737	−	22.0897i	−0.252032	−	0.775674i	−0.994400	−	0.105682i	$-0.966298\pi$
$811$	−7.17737	−	22.0897i	−0.252032	−	0.775674i	0.742368	−	0.669992i	$-0.233702\pi$
$812$	13.0292	−	6.63873i	0.457237	−	0.232974i
$813$	36.3861	+	22.1380i	1.27612	+	0.776413i
$814$	7.47852	−	2.42992i	0.262122	−	0.0851686i
$815$	−42.6792	−	8.90314i	−1.49499	−	0.311863i
$816$	6.05286	+	24.8621i	0.211893	+	0.870347i
$817$	44.4965	−	7.04756i	1.55674	−	0.246563i
$818$	44.1115	−	44.1115i	1.54232	−	1.54232i
$819$	5.07144	+	9.79812i	0.177211	+	0.342374i
$820$	5.93553	−	15.6392i	0.207278	−	0.546143i
$821$	14.1182	+	19.4320i	0.492729	+	0.678183i	0.980888	−	0.194572i	$-0.0623317\pi$
$821$	14.1182	+	19.4320i	0.492729	+	0.678183i	−0.488160	+	0.872754i	$0.662332\pi$
$822$	−29.6277	+	12.3831i	−1.03339	+	0.431912i
$823$	−13.6197	+	26.7301i	−0.474751	+	0.931752i	0.522132	+	0.852865i	$0.325137\pi$
$823$	−13.6197	+	26.7301i	−0.474751	+	0.931752i	−0.996884	+	0.0788873i	$0.974863\pi$
$824$	1.67382			0.0583102
$825$	5.12396	−	6.82854i	0.178393	−	0.237739i
$826$	0.851776			0.0296371
$827$	−3.17364	+	6.22861i	−0.110358	+	0.216590i	−0.939580	−	0.342330i	$-0.888784\pi$
$827$	−3.17364	+	6.22861i	−0.110358	+	0.216590i	0.829222	+	0.558920i	$0.188784\pi$
$828$	4.27778	+	3.06645i	0.148663	+	0.106567i
$829$	4.72836	+	6.50802i	0.164223	+	0.226033i	0.883195	−	0.469005i	$-0.155387\pi$
$829$	4.72836	+	6.50802i	0.164223	+	0.226033i	−0.718973	+	0.695038i	$0.755387\pi$
$830$	5.22799	−	3.42328i	0.181466	−	0.118824i
$831$	0.436935	−	5.78793i	0.0151571	−	0.200781i
$832$	21.8818	−	21.8818i	0.758617	−	0.758617i
$833$	−21.6092	+	3.42256i	−0.748715	+	0.118585i
$834$	−21.8049	+	5.30856i	−0.755042	+	0.183821i
$835$	−0.595760	+	1.04096i	−0.0206171	+	0.0360239i
$836$	11.0459	−	3.58904i	0.382031	−	0.124129i
$837$	9.31964	+	14.8864i	0.322134	+	0.514549i
$838$	22.5328	−	11.4811i	0.778384	−	0.396606i
$839$	−3.47947	−	10.7087i	−0.120125	−	0.369706i	0.872857	−	0.487977i	$-0.162265\pi$
$839$	−3.47947	−	10.7087i	−0.120125	−	0.369706i	−0.992981	+	0.118271i	$0.962265\pi$
$840$	0.628262	+	0.807049i	0.0216771	+	0.0278459i
$841$	23.6164	−	72.6838i	0.814358	−	2.50634i
$842$	3.75557	+	23.7118i	0.129426	+	0.817161i
$843$	−0.835423	−	0.197749i	−0.0287735	−	0.00681084i
$844$	−5.37223	+	7.39424i	−0.184920	+	0.254520i
$845$	−19.9657	+	5.43081i	−0.686840	+	0.186826i
$846$	−4.47173	−	27.1120i	−0.153741	−	0.932130i
$847$	1.22299	−	7.72166i	0.0420224	−	0.265319i
$848$	13.3487	+	6.80150i	0.458396	+	0.233565i
$849$	33.7589	−	20.8360i	1.15860	−	0.715089i
$850$	−3.24739	+	33.3199i	−0.111385	+	1.14286i
$851$		−	3.91599i		−	0.134238i
$852$	−27.2781	+	2.23447i	−0.934533	+	0.0765517i
$853$	−15.1469	−	2.39903i	−0.518619	−	0.0821411i	−0.108362	−	0.994111i	$-0.534561\pi$
$853$	−15.1469	−	2.39903i	−0.518619	−	0.0821411i	−0.410256	+	0.911970i	$0.634561\pi$
$854$	−11.7947	+	8.56936i	−0.403607	+	0.293237i
$855$	21.2494	−	37.6848i	0.726715	−	1.28879i
$856$	0.948489	+	0.689118i	0.0324187	+	0.0235536i
$857$	2.97404	+	2.97404i	0.101591	+	0.101591i	0.756076	−	0.654484i	$-0.227114\pi$
$857$	2.97404	+	2.97404i	0.101591	+	0.101591i	−0.654484	+	0.756076i	$0.727114\pi$
$858$	11.9487	−	10.2713i	0.407923	−	0.350657i
$859$	−24.1552	−	7.84850i	−0.824165	−	0.267787i	−0.133579	−	0.991038i	$-0.542647\pi$
$859$	−24.1552	−	7.84850i	−0.824165	−	0.267787i	−0.690585	+	0.723251i	$0.742647\pi$
$860$	−21.1335	+	19.1739i	−0.720646	+	0.653826i
$861$	4.21601	+	3.57760i	0.143681	+	0.121924i
$862$	35.7524	+	70.1681i	1.21773	+	2.38993i
$863$	6.12466	+	12.0203i	0.208486	+	0.409177i	0.971443	−	0.237272i	$-0.0762534\pi$
$863$	6.12466	+	12.0203i	0.208486	+	0.409177i	−0.762957	+	0.646449i	$0.776253\pi$
$864$	15.7994	+	37.1333i	0.537507	+	1.26330i
$865$	14.6112	+	32.4861i	0.496797	+	1.10456i
$866$	1.29689	+	0.421384i	0.0440700	+	0.0143192i
$867$	5.96748	+	6.94203i	0.202666	+	0.235764i
$868$	−3.40385	−	3.40385i	−0.115534	−	0.115534i
$869$	5.21474	+	3.78873i	0.176898	+	0.128524i
$870$	−77.1956	−	9.61574i	−2.61718	−	0.326004i
$871$	−26.3578	+	19.1501i	−0.893100	+	0.648875i
$872$	−0.775327	−	0.122800i	−0.0262559	−	0.00415852i
$873$	9.93350	+	13.4903i	0.336198	+	0.456578i
$874$		−	12.1162i		−	0.409837i
$875$	2.78732	+	8.25840i	0.0942285	+	0.279185i
$876$	14.9895	+	24.2862i	0.506447	+	0.820556i
$877$	−13.4225	−	6.83909i	−0.453245	−	0.230940i	0.212438	−	0.977175i	$-0.431860\pi$
$877$	−13.4225	−	6.83909i	−0.453245	−	0.230940i	−0.665683	+	0.746235i	$0.731860\pi$
$878$	−10.4946	+	66.2600i	−0.354174	+	2.23617i
$879$	−16.7679	−	6.88286i	−0.565567	−	0.232153i
$880$	5.95964	−	7.41673i	0.200900	−	0.250018i
$881$	26.2832	−	36.1757i	0.885504	−	1.21879i	−0.0893619	−	0.995999i	$-0.528483\pi$
$881$	26.2832	−	36.1757i	0.885504	−	1.21879i	0.974866	−	0.222792i	$-0.0715172\pi$
$882$	−35.6033	+	11.8200i	−1.19883	+	0.398001i
$883$	2.73187	+	17.2484i	0.0919349	+	0.580454i	0.990052	+	0.140699i	$0.0449349\pi$
$883$	2.73187	+	17.2484i	0.0919349	+	0.580454i	−0.898118	+	0.439755i	$0.855065\pi$
$884$	−9.11480	+	28.0525i	−0.306564	+	0.943506i
$885$	−1.79120	−	1.21275i	−0.0602105	−	0.0407661i
$886$	17.3227	+	53.3138i	0.581968	+	1.79111i
$887$	37.3069	−	19.0088i	1.25264	−	0.638253i	0.303420	−	0.952857i	$-0.401872\pi$
$887$	37.3069	−	19.0088i	1.25264	−	0.638253i	0.949223	+	0.314604i	$0.101872\pi$
$888$	1.24349	−	2.04380i	0.0417287	−	0.0685855i
$889$	11.2727	−	3.66273i	0.378075	−	0.122844i
$890$	−28.9530	−	31.9119i	−0.970506	−	1.06969i
$891$	2.84915	+	8.40220i	0.0954501	+	0.281484i
$892$	21.9658	−	3.47904i	0.735468	−	0.116487i
$893$	−21.3522	+	21.3522i	−0.714524	+	0.714524i
$894$	−34.9578	−	2.63899i	−1.16916	−	0.0882610i
$895$	−40.7552	−	1.98133i	−1.36230	−	0.0662287i
$896$	1.23711	+	1.70273i	0.0413288	+	0.0568842i
$897$	−3.02599	−	7.23993i	−0.101035	−	0.241734i
$898$	16.2102	−	31.8143i	0.540941	−	1.06166i
$899$	−34.7047			−1.15747
$900$	1.81572	+	27.3424i	0.0605241	+	0.911414i
$901$	−11.8798			−0.395774
$902$	3.58510	−	7.03615i	0.119371	−	0.234278i
$903$	−3.63744	−	8.70288i	−0.121046	−	0.289614i
$904$	0.649574	+	0.894062i	0.0216045	+	0.0297361i
$905$	−6.11415	−	22.4779i	−0.203241	−	0.747190i
$906$	18.9307	+	1.42909i	0.628930	+	0.0474783i
$907$	3.29748	−	3.29748i	0.109491	−	0.109491i	−0.650239	−	0.759730i	$-0.725331\pi$
$907$	3.29748	−	3.29748i	0.109491	−	0.109491i	0.759730	+	0.650239i	$0.225331\pi$
$908$	−27.0468	+	4.28379i	−0.897578	+	0.142162i
$909$	−7.33004	−	7.23704i	−0.243122	−	0.240038i
$910$	1.74204	+	15.9922i	0.0577479	+	0.530137i
$911$	−32.2491	+	10.4784i	−1.06846	+	0.347164i	−0.789888	−	0.613251i	$-0.789861\pi$
$911$	−32.2491	+	10.4784i	−1.06846	+	0.347164i	−0.278573	+	0.960415i	$0.589861\pi$
$912$	25.0611	−	41.1905i	0.829855	−	1.36395i
$913$	1.25480	−	0.639354i	0.0415279	−	0.0211595i
$914$	12.9928	+	39.9877i	0.429763	+	1.32267i
$915$	37.0041	−	1.22731i	1.22332	−	0.0405736i
$916$	8.64822	−	26.6165i	0.285745	−	0.879433i
$917$	−0.176419	−	1.11387i	−0.00582587	−	0.0367831i
$918$	−26.6705	−	22.3406i	−0.880258	−	0.737351i
$919$	−26.7422	+	36.8075i	−0.882144	+	1.21417i	0.0936779	+	0.995603i	$0.470138\pi$
$919$	−26.7422	+	36.8075i	−0.882144	+	1.21417i	−0.975822	+	0.218565i	$0.929862\pi$
$920$	−0.398486	−	0.608562i	−0.0131377	−	0.0200637i
$921$	−15.7663	−	6.47171i	−0.519516	−	0.213250i
$922$	−5.52582	+	34.8887i	−0.181983	+	1.14900i
$923$	36.3566	+	18.5246i	1.19669	+	0.609745i
$924$	−1.27718	−	2.06932i	−0.0420162	−	0.0680755i
$925$	15.7469	−	12.9501i	0.517755	−	0.425795i
$926$			19.9005i			0.653972i
$927$	−11.9371	+	8.78976i	−0.392064	+	0.288693i
$928$	−78.7595	−	12.4743i	−2.58541	−	0.409488i
$929$	−28.1643	+	20.4626i	−0.924041	+	0.671355i	−0.944527	−	0.328435i	$-0.893479\pi$
$929$	−28.1643	+	20.4626i	−0.924041	+	0.671355i	0.0204855	+	0.999790i	$0.493479\pi$
$930$	4.84228	+	25.1465i	0.158785	+	0.824586i
$931$	33.3519	+	24.2315i	1.09306	+	0.794157i
$932$	−2.79651	−	2.79651i	−0.0916027	−	0.0916027i
$933$	2.50130	+	2.90978i	0.0818887	+	0.0952619i
$934$	−20.9334	−	6.80167i	−0.684962	−	0.222558i
$935$	−1.54068	+	7.38561i	−0.0503857	+	0.241535i
$936$	0.719674	−	4.73948i	0.0235233	−	0.154915i
$937$	−13.0305	−	25.5737i	−0.425687	−	0.835458i	−0.999860	−	0.0167239i	$-0.994676\pi$
$937$	−13.0305	−	25.5737i	−0.425687	−	0.835458i	0.574173	−	0.818734i	$-0.305324\pi$
$938$	4.78176	+	9.38474i	0.156130	+	0.306422i
$939$	−31.7183	−	26.9154i	−1.03509	−	0.878351i
$940$	3.90582	−	18.7234i	0.127394	−	0.610690i
$941$	−48.7206	−	15.8303i	−1.58825	−	0.516053i	−0.624083	−	0.781358i	$-0.714527\pi$
$941$	−48.7206	−	15.8303i	−1.58825	−	0.516053i	−0.964164	+	0.265305i	$0.914527\pi$
$942$	26.1093	−	22.4440i	0.850688	−	0.731266i
$943$	−2.78081	−	2.78081i	−0.0905556	−	0.0905556i
$944$	−1.95034	−	1.41701i	−0.0634782	−	0.0461196i
$945$	−8.71861	−	2.45637i	−0.283616	−	0.0799058i
$946$	−10.8983	+	7.91810i	−0.354335	+	0.257440i
$947$	27.7042	+	4.38792i	0.900267	+	0.142588i	0.589377	−	0.807858i	$-0.299373\pi$
$947$	27.7042	+	4.38792i	0.900267	+	0.142588i	0.310890	+	0.950446i	$0.399373\pi$
$948$	−20.6205	+	1.68912i	−0.669723	+	0.0548600i
$949$		−	42.5484i		−	1.38118i
$950$	48.7215	−	40.0680i	1.58074	−	1.29998i
$951$	−1.14835	+	0.708762i	−0.0372378	+	0.0229832i
$952$	−0.805334	−	0.410338i	−0.0261010	−	0.0132991i
$953$	0.526345	−	3.32321i	0.0170500	−	0.107649i	−0.977696	−	0.210027i	$-0.932645\pi$
$953$	0.526345	−	3.32321i	0.0170500	−	0.107649i	0.994746	+	0.102377i	$0.0326449\pi$
$954$	−20.0982	+	3.31490i	−0.650702	+	0.107324i
$955$	−21.1123	−	32.2424i	−0.683178	−	1.04334i
$956$	24.4748	−	33.6867i	0.791573	−	1.08951i
$957$	−17.0600	−	4.03818i	−0.551470	−	0.130536i
$958$	5.29756	+	33.4475i	0.171156	+	1.08064i
$959$	2.28312	−	7.02671i	0.0737257	−	0.226904i
$960$	0.842195	+	25.3927i	0.0271817	+	0.819545i
$961$	−6.04918	−	18.6175i	−0.195135	−	0.600563i
$962$	33.5276	−	17.0832i	1.08097	−	0.550783i
$963$	−10.3831	+	0.0662881i	−0.334589	+	0.00213610i
$964$	3.97032	−	1.29003i	0.127875	−	0.0415492i
$965$	4.65401	+	42.7247i	0.149818	+	1.37536i
$966$	−2.46480	+	0.600074i	−0.0793036	+	0.0193071i
$967$	−28.2117	+	4.46829i	−0.907226	+	0.143690i	−0.592573	−	0.805516i	$-0.701888\pi$
$967$	−28.2117	+	4.46829i	−0.907226	+	0.143690i	−0.314653	+	0.949207i	$0.601888\pi$
$968$	−2.40199	+	2.40199i	−0.0772028	+	0.0772028i
$969$	−2.87803	+	38.1243i	−0.0924556	+	1.22473i
$970$	6.41148	+	23.5709i	0.205860	+	0.756818i
$971$	−18.4852	−	25.4427i	−0.593218	−	0.816495i	0.401848	−	0.915706i	$-0.368368\pi$
$971$	−18.4852	−	25.4427i	−0.593218	−	0.816495i	−0.995066	+	0.0992113i	$0.968368\pi$
$972$	−24.5156	−	14.4901i	−0.786337	−	0.464771i
$973$	2.34418	−	4.60071i	0.0751509	−	0.147492i
$974$	−20.7829			−0.665926
$975$	19.1062	−	36.1103i	0.611889	−	1.15645i
$976$	41.2627			1.32079
$977$	2.09071	−	4.10325i	0.0668877	−	0.131275i	−0.855142	−	0.518394i	$-0.826530\pi$
$977$	2.09071	−	4.10325i	0.0668877	−	0.131275i	0.922029	+	0.387120i	$0.126530\pi$
$978$	60.9537	−	25.4761i	1.94909	−	0.814636i
$979$	−5.70773	−	7.85601i	−0.182420	−	0.251079i
$980$	−26.0811	−	1.26795i	−0.833131	−	0.0405030i
$981$	6.17421	−	3.19573i	0.197127	−	0.102032i
$982$	−10.2872	+	10.2872i	−0.328277	+	0.328277i
$983$	−12.6446	+	2.00270i	−0.403299	+	0.0638763i	−0.354789	−	0.934946i	$-0.615447\pi$
$983$	−12.6446	+	2.00270i	−0.403299	+	0.0638763i	−0.0485102	+	0.998823i	$0.515447\pi$
$984$	−0.568317	−	2.33436i	−0.0181173	−	0.0744166i
$985$	−3.21365	−	3.54208i	−0.102395	−	0.112860i
$986$	65.3827	−	21.2441i	2.08221	−	0.676551i
$987$	5.40117	+	3.28617i	0.171921	+	0.104600i
$988$	49.5210	−	25.2322i	1.57547	−	0.802743i
$989$	2.07308	+	6.38029i	0.0659202	+	0.202882i
$990$	−0.545661	+	12.9248i	−0.0173423	+	0.410778i
$991$	−14.7045	+	45.2557i	−0.467103	+	1.43759i	0.389216	+	0.921147i	$0.372746\pi$
$991$	−14.7045	+	45.2557i	−0.467103	+	1.43759i	−0.856319	+	0.516448i	$0.827254\pi$
$992$	4.10641	+	25.9269i	0.130379	+	0.823179i
$993$	5.98003	−	25.2636i	0.189771	−	0.801717i
$994$	7.75373	−	10.6721i	0.245933	−	0.338498i
$995$	−26.4224	+	32.8825i	−0.837646	+	1.04244i
$996$	−1.71652	+	4.18175i	−0.0543900	+	0.132504i
$997$	3.19474	−	20.1708i	0.101179	−	0.638816i	−0.884027	−	0.467437i	$-0.845178\pi$
$997$	3.19474	−	20.1708i	0.101179	−	0.638816i	0.985205	−	0.171379i	$-0.0548224\pi$
$998$	39.9472	+	20.3541i	1.26451	+	0.644297i
$999$	1.86457	+	21.1056i	0.0589924	+	0.667751i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	75.2.l.a.8.7	yes	64
3.2	odd	2	inner	75.2.l.a.8.2	✓	64
5.2	odd	4		375.2.l.a.107.7		64
5.3	odd	4		375.2.l.b.107.2		64
5.4	even	2		375.2.l.c.143.2		64
15.2	even	4		375.2.l.a.107.2		64
15.8	even	4		375.2.l.b.107.7		64
15.14	odd	2		375.2.l.c.143.7		64
25.3	odd	20		375.2.l.c.257.7		64
25.4	even	10		375.2.l.b.368.7		64
25.21	even	5		375.2.l.a.368.2		64
25.22	odd	20	inner	75.2.l.a.47.2	yes	64
75.29	odd	10		375.2.l.b.368.2		64
75.47	even	20	inner	75.2.l.a.47.7	yes	64
75.53	even	20		375.2.l.c.257.2		64
75.71	odd	10		375.2.l.a.368.7		64

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
75.2.l.a.8.2	✓	64	3.2	odd	2	inner
75.2.l.a.8.7	yes	64	1.1	even	1	trivial
75.2.l.a.47.2	yes	64	25.22	odd	20	inner
75.2.l.a.47.7	yes	64	75.47	even	20	inner
375.2.l.a.107.2		64	15.2	even	4
375.2.l.a.107.7		64	5.2	odd	4
375.2.l.a.368.2		64	25.21	even	5
375.2.l.a.368.7		64	75.71	odd	10
375.2.l.b.107.2		64	5.3	odd	4
375.2.l.b.107.7		64	15.8	even	4
375.2.l.b.368.2		64	75.29	odd	10
375.2.l.b.368.7		64	25.4	even	10
375.2.l.c.143.2		64	5.4	even	2
375.2.l.c.143.7		64	15.14	odd	2
375.2.l.c.257.2		64	75.53	even	20
375.2.l.c.257.7		64	25.3	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:	\( N \)	\(=\)	\( 75 = 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	75.l (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.888111 - 1.74302i) q^{2} +(0.667932 + 1.59808i) q^{3} +(-1.07379 - 1.47795i) q^{4} +(-1.74306 - 1.40062i) q^{5} +(3.37868 + 0.255059i) q^{6} +(-0.551254 + 0.551254i) q^{7} +(0.334566 - 0.0529901i) q^{8} +(-2.10773 + 2.13482i) q^{9} +(-3.98933 + 1.79428i) q^{10} +(-0.937544 + 0.304626i) q^{11} +(1.64466 - 2.70317i) q^{12} +(-4.20319 + 2.14163i) q^{13} +(0.471270 + 1.45042i) q^{14} +(1.07406 - 3.72107i) q^{15} +(1.33382 - 4.10508i) q^{16} +(0.535425 + 3.38054i) q^{17} +(1.84912 + 5.56977i) q^{18} +(3.79078 - 5.21756i) q^{19} +(-0.198357 + 4.08012i) q^{20} +(-1.24915 - 0.512749i) q^{21} +(-0.301674 + 1.90469i) q^{22} +(0.855694 + 0.435998i) q^{23} +(0.308150 + 0.499270i) q^{24} +(1.07653 + 4.88273i) q^{25} +9.22822i q^{26} +(-4.81944 - 1.94242i) q^{27} +(1.40666 + 0.222792i) q^{28} +(8.30669 - 6.03516i) q^{29} +(-5.53201 - 5.17683i) q^{30} +(-2.73448 - 1.98672i) q^{31} +(-5.49158 - 5.49158i) q^{32} +(-1.11303 - 1.29480i) q^{33} +(6.36785 + 2.06904i) q^{34} +(1.73297 - 0.188773i) q^{35} +(5.41842 + 0.822768i) q^{36} +(-1.85119 - 3.63316i) q^{37} +(-5.72765 - 11.2411i) q^{38} +(-6.22994 - 5.28657i) q^{39} +(-0.657388 - 0.376235i) q^{40} +(-3.89453 - 1.26541i) q^{41} +(-2.00311 + 1.72191i) q^{42} +(4.93949 + 4.93949i) q^{43} +(1.45695 + 1.05853i) q^{44} +(6.66398 - 0.768989i) q^{45} +(1.51990 - 1.10427i) q^{46} +(-4.62454 - 0.732455i) q^{47} +(7.45115 - 0.610356i) q^{48} +6.39224i q^{49} +(9.46676 + 2.46000i) q^{50} +(-5.04475 + 3.11362i) q^{51} +(7.67856 + 3.91242i) q^{52} +(-0.542970 + 3.42818i) q^{53} +(-7.66586 + 6.67528i) q^{54} +(2.06086 + 0.782159i) q^{55} +(-0.155220 + 0.213642i) q^{56} +(10.8701 + 2.57300i) q^{57} +(-3.14212 - 19.8386i) q^{58} +(0.172592 - 0.531183i) q^{59} +(-6.65286 + 2.40825i) q^{60} +(2.95410 + 9.09178i) q^{61} +(-5.89140 + 3.00182i) q^{62} +(-0.0149310 - 2.33873i) q^{63} +(-6.23890 + 2.02714i) q^{64} +(10.3260 + 2.15407i) q^{65} +(-3.24536 + 0.790106i) q^{66} +(6.82141 - 1.08040i) q^{67} +(4.42132 - 4.42132i) q^{68} +(-0.125215 + 1.65869i) q^{69} +(1.21003 - 3.18824i) q^{70} +(-5.08421 - 6.99781i) q^{71} +(-0.592052 + 0.825927i) q^{72} +(-4.09480 + 8.03649i) q^{73} -7.97671 q^{74} +(-7.08396 + 4.98171i) q^{75} -11.7818 q^{76} +(0.348898 - 0.684752i) q^{77} +(-14.7475 + 6.16382i) q^{78} +(-3.84334 - 5.28990i) q^{79} +(-8.07458 + 5.28723i) q^{80} +(-0.114912 - 8.99927i) q^{81} +(-5.66440 + 5.66440i) q^{82} +(-1.41101 + 0.223482i) q^{83} +(0.583510 + 2.39676i) q^{84} +(3.80157 - 6.64241i) q^{85} +(12.9964 - 4.22279i) q^{86} +(15.1930 + 9.24369i) q^{87} +(-0.297528 + 0.151598i) q^{88} +(3.04398 + 9.36841i) q^{89} +(4.57799 - 12.2984i) q^{90} +(1.13644 - 3.49761i) q^{91} +(-0.274455 - 1.73284i) q^{92} +(1.34849 - 5.69692i) q^{93} +(-5.38378 + 7.41014i) q^{94} +(-13.9154 + 3.78509i) q^{95} +(5.10800 - 12.4440i) q^{96} +(0.873583 - 5.51558i) q^{97} +(11.1418 + 5.67701i) q^{98} +(1.32577 - 2.64356i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 64 q - 10 q^{3} - 20 q^{4} - 6 q^{6} - 20 q^{7} - 10 q^{9} - 20 q^{10} - 10 q^{12} - 20 q^{13} - 10 q^{15} - 8 q^{16} - 10 q^{18} - 6 q^{21} + 20 q^{22} + 40 q^{25} - 10 q^{27} + 40 q^{28} - 10 q^{30} - 12 q^{31}+ \cdots + 120 q^{97}+O(q^{100}) \) 64 * q - 10 * q^3 - 20 * q^4 - 6 * q^6 - 20 * q^7 - 10 * q^9 - 20 * q^10 - 10 * q^12 - 20 * q^13 - 10 * q^15 - 8 * q^16 - 10 * q^18 - 6 * q^21 + 20 * q^22 + 40 * q^25 - 10 * q^27 + 40 * q^28 - 10 * q^30 - 12 * q^31 - 10 * q^33 + 20 * q^34 - 22 * q^36 - 20 * q^37 + 30 * q^39 - 20 * q^40 + 90 * q^42 - 20 * q^43 + 70 * q^45 - 12 * q^46 + 100 * q^48 - 16 * q^51 + 20 * q^52 + 120 * q^54 - 20 * q^55 + 70 * q^57 - 20 * q^58 + 50 * q^60 - 12 * q^61 - 20 * q^63 - 100 * q^64 - 30 * q^66 - 60 * q^67 - 80 * q^69 - 100 * q^70 - 150 * q^72 - 60 * q^73 - 90 * q^75 - 64 * q^76 - 80 * q^78 - 60 * q^79 + 14 * q^81 - 60 * q^82 - 130 * q^84 + 60 * q^85 - 60 * q^87 + 20 * q^88 - 70 * q^90 - 12 * q^91 - 20 * q^93 + 260 * q^94 + 42 * q^96 + 120 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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