LMFDB - Embedded newform 296.2.bj.a.19.11

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

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

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

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

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

Newform invariants

comment:select newform

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

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

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

Embedding invariants

Embedding label			19.11
Character	$\chi$	$=$	296.19
Dual form			296.2.bj.a.187.11

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.741052 - 1.20451i) q^{2} +(-1.99237 - 2.37441i) q^{3} +(-0.901683 + 1.78521i) q^{4} +(-1.81016 + 0.844089i) q^{5} +(-1.38355 + 4.15938i) q^{6} +(-0.0212805 + 0.0584676i) q^{7} +(2.81849 - 0.236847i) q^{8} +(-1.14735 + 6.50696i) q^{9} +(2.35813 + 1.55483i) q^{10} +(-2.76083 - 1.59397i) q^{11} +(6.03530 - 1.41582i) q^{12} +(3.32746 + 2.32991i) q^{13} +(0.0861947 - 0.0176950i) q^{14} +(5.61071 + 2.61631i) q^{15} +(-2.37394 - 3.21938i) q^{16} +(0.380728 - 0.266588i) q^{17} +(8.68794 - 3.44000i) q^{18} +(-2.95987 - 0.258955i) q^{19} +(0.125312 - 3.99261i) q^{20} +(0.181225 - 0.0659603i) q^{21} +(0.125973 + 4.50666i) q^{22} +(1.78023 + 0.477010i) q^{23} +(-6.17784 - 6.22037i) q^{24} +(-0.649762 + 0.774356i) q^{25} +(0.340579 - 5.73454i) q^{26} +(9.68321 - 5.59060i) q^{27} +(-0.0851886 - 0.0907093i) q^{28} +(2.62324 - 0.702896i) q^{29} +(-1.00645 - 8.69697i) q^{30} +(6.47914 + 6.47914i) q^{31} +(-2.11857 + 5.24516i) q^{32} +(1.71586 + 9.73111i) q^{33} +(-0.603247 - 0.261034i) q^{34} +(-0.0108309 - 0.123798i) q^{35} +(-10.5817 - 7.91548i) q^{36} +(-5.84962 - 1.66790i) q^{37} +(1.88150 + 3.75708i) q^{38} +(-1.09735 - 12.5428i) q^{39} +(-4.90199 + 2.80779i) q^{40} +(-8.93019 + 1.57463i) q^{41} +(-0.213747 - 0.169407i) q^{42} +(7.66465 + 7.66465i) q^{43} +(5.33496 - 3.49141i) q^{44} +(-3.41557 - 12.7471i) q^{45} +(-0.744677 - 2.49779i) q^{46} +(-3.88346 + 2.24211i) q^{47} +(-2.91439 + 12.0509i) q^{48} +(5.35935 + 4.49702i) q^{49} +(1.41423 + 0.208806i) q^{50} +(-1.39154 - 0.372862i) q^{51} +(-7.15969 + 3.83937i) q^{52} +(4.44461 + 12.2115i) q^{53} +(-13.9097 - 7.52058i) q^{54} +(6.34299 + 0.554940i) q^{55} +(-0.0461310 + 0.169831i) q^{56} +(5.28227 + 7.54387i) q^{57} +(-2.79061 - 2.63884i) q^{58} +(-10.0718 - 4.69658i) q^{59} +(-9.72974 + 7.65719i) q^{60} +(-7.59595 + 10.8481i) q^{61} +(3.00280 - 12.6056i) q^{62} +(-0.356030 - 0.205554i) q^{63} +(7.88781 - 1.33510i) q^{64} +(-7.98988 - 1.40883i) q^{65} +(10.4497 - 9.27803i) q^{66} +(-1.84641 + 5.07296i) q^{67} +(0.132620 + 0.920056i) q^{68} +(-2.41424 - 5.17736i) q^{69} +(-0.141090 + 0.104787i) q^{70} +(-3.29810 - 3.93052i) q^{71} +(-1.69265 + 18.6116i) q^{72} -12.1893i q^{73} +(2.32587 + 8.28193i) q^{74} +3.13320 q^{75} +(3.13115 - 5.05048i) q^{76} +(0.151947 - 0.127499i) q^{77} +(-14.2947 + 10.6166i) q^{78} +(-5.48050 + 2.55560i) q^{79} +(7.01464 + 3.82377i) q^{80} +(-13.9403 - 5.07384i) q^{81} +(8.51440 + 9.58961i) q^{82} +(-0.0367309 + 0.208311i) q^{83} +(-0.0456542 + 0.382999i) q^{84} +(-0.464152 + 0.803934i) q^{85} +(3.55223 - 14.9121i) q^{86} +(-6.89543 - 4.82823i) q^{87} +(-8.15891 - 3.83869i) q^{88} +(4.07747 - 8.74416i) q^{89} +(-12.8229 + 13.5603i) q^{90} +(-0.207034 + 0.144967i) q^{91} +(-2.45676 + 2.74796i) q^{92} +(2.47531 - 28.2929i) q^{93} +(5.57849 + 3.01613i) q^{94} +(5.57640 - 2.02964i) q^{95} +(16.6751 - 5.41993i) q^{96} +(-0.678025 + 2.53042i) q^{97} +(1.44515 - 9.78791i) q^{98} +(13.5395 - 16.1358i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 432 q - 12 q^{2} - 24 q^{3} - 18 q^{4} - 12 q^{6} - 6 q^{8} - 24 q^{9} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{14} + 18 q^{16} - 24 q^{17} - 42 q^{18} - 24 q^{19} - 12 q^{20} - 24 q^{22} - 84 q^{24}+ \cdots - 132 q^{99}+O(q^{100}) $ 432 * q - 12 * q^2 - 24 * q^3 - 18 * q^4 - 12 * q^6 - 6 * q^8 - 24 * q^9 - 6 * q^10 - 36 * q^11 - 12 * q^12 - 12 * q^14 + 18 * q^16 - 24 * q^17 - 42 * q^18 - 24 * q^19 - 12 * q^20 - 24 * q^22 - 84 * q^24 - 12 * q^25 - 6 * q^26 - 36 * q^27 - 12 * q^28 - 36 * q^30 - 42 * q^32 - 60 * q^33 - 12 * q^34 - 24 * q^35 + 60 * q^38 - 12 * q^40 - 24 * q^41 - 12 * q^42 - 6 * q^44 + 48 * q^46 - 18 * q^48 + 24 * q^49 - 42 * q^50 + 96 * q^51 - 42 * q^52 - 72 * q^54 - 12 * q^56 - 24 * q^57 + 48 * q^58 - 24 * q^59 + 144 * q^60 - 72 * q^62 + 108 * q^64 - 84 * q^65 - 168 * q^66 - 24 * q^67 - 18 * q^68 - 186 * q^70 + 234 * q^72 - 150 * q^74 - 48 * q^75 + 42 * q^76 - 222 * q^78 + 120 * q^80 - 60 * q^81 - 24 * q^82 - 24 * q^83 + 126 * q^84 - 54 * q^86 - 24 * q^89 + 72 * q^90 - 24 * q^91 + 114 * q^92 - 24 * q^94 + 72 * q^96 - 24 * q^97 - 114 * q^98 - 132 * q^99

Character values

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

$n$	$113$	$149$	$223$
$\chi(n)$	$e\left(\frac{35}{36}\right)$	$-1$	$-1$

Coefficient data

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

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

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

$2$	−0.741052	−	1.20451i	−0.524003	−	0.851716i
$2$	−0.741052	−	1.20451i	−0.524003	−	0.851716i
$3$	−1.99237	−	2.37441i	−1.15029	−	1.37087i	−0.917208	−	0.398409i	$-0.869562\pi$
$3$	−1.99237	−	2.37441i	−1.15029	−	1.37087i	−0.233085	−	0.972456i	$-0.574882\pi$
$4$	−0.901683	+	1.78521i	−0.450842	+	0.892604i
$5$	−1.81016	+	0.844089i	−0.809526	+	0.377488i	−0.782892	−	0.622157i	$-0.786257\pi$
$5$	−1.81016	+	0.844089i	−0.809526	+	0.377488i	−0.0266337	+	0.999645i	$0.508479\pi$
$6$	−1.38355	+	4.15938i	−0.564832	+	1.69806i
$7$	−0.0212805	+	0.0584676i	−0.00804326	+	0.0220987i	−0.943649	−	0.330947i	$-0.892632\pi$
$7$	−0.0212805	+	0.0584676i	−0.00804326	+	0.0220987i	0.935606	+	0.353046i	$0.114854\pi$
$8$	2.81849	−	0.236847i	0.996488	−	0.0837381i
$9$	−1.14735	+	6.50696i	−0.382451	+	2.16899i
$10$	2.35813	+	1.55483i	0.745707	+	0.491682i
$11$	−2.76083	−	1.59397i	−0.832422	−	0.480599i	0.0222590	−	0.999752i	$-0.492914\pi$
$11$	−2.76083	−	1.59397i	−0.832422	−	0.480599i	−0.854681	+	0.519153i	$0.826248\pi$
$12$	6.03530	−	1.41582i	1.74224	−	0.408713i
$13$	3.32746	+	2.32991i	0.922871	+	0.646202i	0.935351	−	0.353721i	$-0.115084\pi$
$13$	3.32746	+	2.32991i	0.922871	+	0.646202i	−0.0124797	+	0.999922i	$0.503973\pi$
$14$	0.0861947	−	0.0176950i	0.0230365	−	0.00472920i
$15$	5.61071	+	2.61631i	1.44868	+	0.675530i
$16$	−2.37394	−	3.21938i	−0.593484	−	0.804846i
$17$	0.380728	−	0.266588i	0.0923400	−	0.0646572i	−0.526495	−	0.850178i	$-0.676494\pi$
$17$	0.380728	−	0.266588i	0.0923400	−	0.0646572i	0.618835	+	0.785521i	$0.287605\pi$
$18$	8.68794	−	3.44000i	2.04777	−	0.810816i
$19$	−2.95987	−	0.258955i	−0.679040	−	0.0594083i	−0.257582	−	0.966256i	$-0.582926\pi$
$19$	−2.95987	−	0.258955i	−0.679040	−	0.0594083i	−0.421458	+	0.906848i	$0.638481\pi$
$20$	0.125312	−	3.99261i	0.0280205	−	0.892774i
$21$	0.181225	−	0.0659603i	0.0395464	−	0.0143937i
$22$	0.125973	+	4.50666i	0.0268576	+	0.960823i
$23$	1.78023	+	0.477010i	0.371203	+	0.0994634i	0.439597	−	0.898195i	$-0.355121\pi$
$23$	1.78023	+	0.477010i	0.371203	+	0.0994634i	−0.0683949	+	0.997658i	$0.521788\pi$
$24$	−6.17784	−	6.22037i	−1.26105	−	1.26973i
$25$	−0.649762	+	0.774356i	−0.129952	+	0.154871i
$26$	0.340579	−	5.73454i	0.0667930	−	1.12464i
$27$	9.68321	−	5.59060i	1.86353	−	1.07591i
$28$	−0.0851886	−	0.0907093i	−0.0160991	−	0.0171425i
$29$	2.62324	−	0.702896i	0.487124	−	0.130525i	−0.00689369	−	0.999976i	$-0.502194\pi$
$29$	2.62324	−	0.702896i	0.487124	−	0.130525i	0.494018	+	0.869452i	$0.335528\pi$
$30$	−1.00645	−	8.69697i	−0.183752	−	1.58784i
$31$	6.47914	+	6.47914i	1.16369	+	1.16369i	0.983662	+	0.180026i	$0.0576181\pi$
$31$	6.47914	+	6.47914i	1.16369	+	1.16369i	0.180026	+	0.983662i	$0.442382\pi$
$32$	−2.11857	+	5.24516i	−0.374513	+	0.927222i
$33$	1.71586	+	9.73111i	0.298692	+	1.69397i
$34$	−0.603247	−	0.261034i	−0.103456	−	0.0447669i
$35$	−0.0108309	−	0.123798i	−0.00183076	−	0.0209257i
$36$	−10.5817	−	7.91548i	−1.76362	−	1.31925i
$37$	−5.84962	−	1.66790i	−0.961672	−	0.274202i
$37$	−5.84962	−	1.66790i	−0.961672	−	0.274202i
$38$	1.88150	+	3.75708i	0.305220	+	0.609480i
$39$	−1.09735	−	12.5428i	−0.175717	−	2.00845i
$40$	−4.90199	+	2.80779i	−0.775073	+	0.443951i
$41$	−8.93019	+	1.57463i	−1.39466	+	0.245916i	−0.819948	−	0.572438i	$-0.805998\pi$
$41$	−8.93019	+	1.57463i	−1.39466	+	0.245916i	−0.574714	+	0.818355i	$0.694887\pi$
$42$	−0.213747	−	0.169407i	−0.0329818	−	0.0261400i
$43$	7.66465	+	7.66465i	1.16885	+	1.16885i	0.982480	+	0.186369i	$0.0596720\pi$
$43$	7.66465	+	7.66465i	1.16885	+	1.16885i	0.186369	+	0.982480i	$0.440328\pi$
$44$	5.33496	−	3.49141i	0.804275	−	0.526349i
$45$	−3.41557	−	12.7471i	−0.509163	−	1.90022i
$46$	−0.744677	−	2.49779i	−0.109797	−	0.368278i
$47$	−3.88346	+	2.24211i	−0.566460	+	0.327046i	−0.755734	−	0.654878i	$-0.772720\pi$
$47$	−3.88346	+	2.24211i	−0.566460	+	0.327046i	0.189274	+	0.981924i	$0.439387\pi$
$48$	−2.91439	+	12.0509i	−0.420656	+	1.73940i
$49$	5.35935	+	4.49702i	0.765621	+	0.642432i
$50$	1.41423	+	0.208806i	0.200002	+	0.0295296i
$51$	−1.39154	−	0.372862i	−0.194854	−	0.0522111i
$52$	−7.15969	+	3.83937i	−0.992871	+	0.532424i
$53$	4.44461	+	12.2115i	0.610514	+	1.67737i	0.729081	+	0.684428i	$0.239948\pi$
$53$	4.44461	+	12.2115i	0.610514	+	1.67737i	−0.118567	+	0.992946i	$0.537830\pi$
$54$	−13.9097	−	7.52058i	−1.89287	−	1.02342i
$55$	6.34299	+	0.554940i	0.855288	+	0.0748280i
$56$	−0.0461310	+	0.169831i	−0.00616451	+	0.0226946i
$57$	5.28227	+	7.54387i	0.699654	+	0.999210i
$58$	−2.79061	−	2.63884i	−0.366425	−	0.346496i
$59$	−10.0718	−	4.69658i	−1.31124	−	0.611442i	−0.363832	−	0.931465i	$-0.618532\pi$
$59$	−10.0718	−	4.69658i	−1.31124	−	0.611442i	−0.947410	+	0.320022i	$0.896310\pi$
$60$	−9.72974	+	7.65719i	−1.25610	+	0.988539i
$61$	−7.59595	+	10.8481i	−0.972562	+	1.38896i	−0.0518773	+	0.998653i	$0.516520\pi$
$61$	−7.59595	+	10.8481i	−0.972562	+	1.38896i	−0.920684	+	0.390308i	$0.872368\pi$
$62$	3.00280	−	12.6056i	0.381356	−	1.60091i
$63$	−0.356030	−	0.205554i	−0.0448556	−	0.0258974i
$64$	7.88781	−	1.33510i	0.985976	−	0.166888i
$65$	−7.98988	−	1.40883i	−0.991022	−	0.174744i
$66$	10.4497	−	9.27803i	1.28627	−	1.14205i
$67$	−1.84641	+	5.07296i	−0.225574	+	0.619760i	−0.999915	−	0.0130080i	$-0.995859\pi$
$67$	−1.84641	+	5.07296i	−0.225574	+	0.619760i	0.774341	+	0.632768i	$0.218082\pi$
$68$	0.132620	+	0.920056i	0.0160825	+	0.111573i
$69$	−2.41424	−	5.17736i	−0.290641	−	0.623281i
$70$	−0.141090	+	0.104787i	−0.0168634	+	0.0125244i
$71$	−3.29810	−	3.93052i	−0.391412	−	0.466467i	0.533969	−	0.845504i	$-0.320700\pi$
$71$	−3.29810	−	3.93052i	−0.391412	−	0.466467i	−0.925381	+	0.379037i	$0.876255\pi$
$72$	−1.69265	+	18.6116i	−0.199481	+	2.19339i
$73$		−	12.1893i		−	1.42665i	−0.700834	−	0.713324i	$-0.747189\pi$
$73$		−	12.1893i		−	1.42665i	0.700834	−	0.713324i	$-0.252811\pi$
$74$	2.32587	+	8.28193i	0.270377	+	0.962755i
$75$	3.13320			0.361791
$76$	3.13115	−	5.05048i	0.359168	−	0.579330i
$77$	0.151947	−	0.127499i	0.0173160	−	0.0145299i
$78$	−14.2947	+	10.6166i	−1.61856	+	1.20210i
$79$	−5.48050	+	2.55560i	−0.616604	+	0.287527i	−0.705716	−	0.708494i	$-0.749375\pi$
$79$	−5.48050	+	2.55560i	−0.616604	+	0.287527i	0.0891124	+	0.996022i	$0.471597\pi$
$80$	7.01464	+	3.82377i	0.784260	+	0.427511i
$81$	−13.9403	−	5.07384i	−1.54892	−	0.563760i
$82$	8.51440	+	9.58961i	0.940258	+	1.05900i
$83$	−0.0367309	+	0.208311i	−0.00403174	+	0.0228651i	−0.986757	−	0.162204i	$-0.948140\pi$
$83$	−0.0367309	+	0.208311i	−0.00403174	+	0.0228651i	0.982726	+	0.185069i	$0.0592509\pi$
$84$	−0.0456542	+	0.382999i	−0.00498128	+	0.0417886i
$85$	−0.464152	+	0.803934i	−0.0503443	+	0.0871989i
$86$	3.55223	−	14.9121i	0.383047	−	1.60801i
$87$	−6.89543	−	4.82823i	−0.739267	−	0.517641i
$88$	−8.15891	−	3.83869i	−0.869743	−	0.409206i
$89$	4.07747	−	8.74416i	0.432211	−	0.926879i	−0.562751	−	0.826626i	$-0.690257\pi$
$89$	4.07747	−	8.74416i	0.432211	−	0.926879i	0.994962	−	0.100253i	$-0.0319652\pi$
$90$	−12.8229	+	13.5603i	−1.35165	+	1.42938i
$91$	−0.207034	+	0.144967i	−0.0217031	+	0.0151967i
$92$	−2.45676	+	2.74796i	−0.256135	+	0.286495i
$93$	2.47531	−	28.2929i	0.256678	−	2.93384i
$94$	5.57849	+	3.01613i	0.575377	+	0.311090i
$95$	5.57640	−	2.02964i	0.572127	−	0.208237i
$96$	16.6751	−	5.41993i	1.70190	−	0.553169i
$97$	−0.678025	+	2.53042i	−0.0688430	+	0.256926i	−0.991767	−	0.128057i	$-0.959126\pi$
$97$	−0.678025	+	2.53042i	−0.0688430	+	0.256926i	0.922924	+	0.384983i	$0.125793\pi$
$98$	1.44515	−	9.78791i	0.145982	−	0.988728i
$99$	13.5395	−	16.1358i	1.36077	−	1.62171i
$100$	−0.796508	−	1.85818i	−0.0796508	−	0.185818i
$101$	−0.834456	−	1.44532i	−0.0830315	−	0.143815i	0.821519	−	0.570181i	$-0.193127\pi$
$101$	−0.834456	−	1.44532i	−0.0830315	−	0.143815i	−0.904551	+	0.426366i	$0.859794\pi$
$102$	0.582087	+	1.95243i	0.0576352	+	0.193319i
$103$	−18.2778	+	4.89752i	−1.80096	+	0.482567i	−0.994128	−	0.108210i	$-0.965488\pi$
$103$	−18.2778	+	4.89752i	−1.80096	+	0.482567i	−0.806835	+	0.590777i	$0.798821\pi$
$104$	9.93026	+	5.77874i	0.973742	+	0.566652i
$105$	−0.272368	+	0.272368i	−0.0265804	+	0.0265804i
$106$	11.4151	−	14.4029i	1.10874	−	1.39893i
$107$	−0.247300	−	1.40251i	−0.0239074	−	0.135586i	0.970518	−	0.241029i	$-0.0774849\pi$
$107$	−0.247300	−	1.40251i	−0.0239074	−	0.135586i	−0.994425	+	0.105443i	$0.966374\pi$
$108$	1.24920	+	22.3275i	0.120205	+	2.14846i
$109$	8.42031	−	0.736682i	0.806519	−	0.0705613i	0.323564	−	0.946206i	$-0.395119\pi$
$109$	8.42031	−	0.736682i	0.806519	−	0.0705613i	0.482955	+	0.875645i	$0.339563\pi$
$110$	−4.03206	−	8.05142i	−0.384441	−	0.767673i
$111$	7.69430	+	17.2125i	0.730311	+	1.63374i
$112$	0.238748	−	0.0702883i	0.0225596	−	0.00664162i
$113$	4.44745	−	0.389101i	0.418381	−	0.0366036i	0.123978	−	0.992285i	$-0.460435\pi$
$113$	4.44745	−	0.389101i	0.418381	−	0.0366036i	0.294403	+	0.955681i	$0.404879\pi$
$114$	5.17221	−	11.9529i	0.484422	−	1.11950i
$115$	−3.62512	+	0.639207i	−0.338044	+	0.0596064i
$116$	−1.11052	+	5.31683i	−0.103109	+	0.493655i
$117$	−18.9784	+	18.9784i	−1.75456	+	1.75456i
$118$	1.80669	+	15.6120i	0.166320	+	1.43720i
$119$	0.00748472	+	0.0279334i	0.000686123	+	0.00256065i
$120$	16.4334	+	6.04519i	1.50016	+	0.551847i
$121$	−0.418535	−	0.724924i	−0.0380486	−	0.0659022i
$122$	18.6957	+	1.11035i	1.69263	+	0.100526i
$123$	21.5310	+	18.0667i	1.94139	+	1.62902i
$124$	−17.4087	+	5.72448i	−1.56335	+	0.514073i
$125$	3.10722	−	11.5963i	0.277918	−	1.03721i
$126$	0.0162452	+	0.581168i	0.00144724	+	0.0517746i
$127$	0.968570	+	2.66112i	0.0859467	+	0.236137i	0.975219	−	0.221241i	$-0.0710109\pi$
$127$	0.968570	+	2.66112i	0.0859467	+	0.236137i	−0.889272	+	0.457378i	$0.848789\pi$
$128$	−7.45342	−	8.51155i	−0.658796	−	0.752322i
$129$	2.92823	−	33.4698i	0.257816	−	2.94685i
$130$	4.22397	+	10.6679i	0.370466	+	0.935636i
$131$	−3.44426	−	4.91891i	−0.300926	−	0.429767i	0.640002	−	0.768373i	$-0.278933\pi$
$131$	−3.44426	−	4.91891i	−0.300926	−	0.429767i	−0.940928	+	0.338606i	$0.890045\pi$
$132$	−18.9192	−	5.71122i	−1.64671	−	0.497098i
$133$	0.0781278	−	0.167546i	0.00677454	−	0.0145281i
$134$	7.47871	−	1.53531i	0.646062	−	0.132631i
$135$	−12.8091	+	18.2934i	−1.10244	+	1.57444i
$136$	1.00994	−	0.841551i	0.0866014	−	0.0721624i
$137$	−2.07582	+	3.59543i	−0.177350	+	0.307179i	−0.940972	−	0.338485i	$-0.890086\pi$
$137$	−2.07582	+	3.59543i	−0.177350	+	0.307179i	0.763622	+	0.645663i	$0.223419\pi$
$138$	−4.44710	+	6.74467i	−0.378562	+	0.574145i
$139$	−0.0570766	−	0.0100641i	−0.00484117	−	0.000853629i	0.171227	−	0.985232i	$-0.445227\pi$
$139$	−0.0570766	−	0.0100641i	−0.00484117	−	0.000853629i	−0.176068	+	0.984378i	$0.556338\pi$
$140$	0.230771	+	0.0922912i	0.0195037	+	0.00780003i
$141$	13.0610	+	4.75380i	1.09993	+	0.400342i
$142$	−2.29028	+	6.88531i	−0.192196	+	0.577802i
$143$	−5.47276	−	11.7364i	−0.457655	−	0.981444i
$144$	23.6721	−	11.7533i	1.97268	−	0.979444i
$145$	−4.15517	+	3.48660i	−0.345068	+	0.289547i
$146$	−14.6821	+	9.03290i	−1.21510	+	0.747568i
$147$		−	21.6850i		−	1.78855i
$148$	8.25206	−	8.93887i	0.678315	−	0.734771i
$149$			17.6111i			1.44275i	0.692543	+	0.721377i	$0.256490\pi$
$149$			17.6111i			1.44275i	−0.692543	+	0.721377i	$0.743510\pi$
$150$	−2.32187	−	3.77397i	−0.189580	−	0.308143i
$151$	−10.7367	+	9.00916i	−0.873741	+	0.733155i	−0.964882	−	0.262683i	$-0.915393\pi$
$151$	−10.7367	+	9.00916i	−0.873741	+	0.733155i	0.0911417	+	0.995838i	$0.470948\pi$
$152$	−8.40370	−	0.0288266i	−0.681630	−	0.00233815i
$153$	1.29785	+	2.78325i	0.104925	+	0.225012i
$154$	−0.266175	−	0.0885385i	−0.0214490	−	0.00713464i
$155$	−17.1972	−	6.25928i	−1.38131	−	0.502757i
$156$	23.3810	+	9.35062i	1.87197	+	0.748649i
$157$	8.39722	+	1.48066i	0.670171	+	0.118169i	0.498373	−	0.866963i	$-0.333931\pi$
$157$	8.39722	+	1.48066i	0.670171	+	0.118169i	0.171798	+	0.985132i	$0.445042\pi$
$158$	7.13957	+	4.70747i	0.567994	+	0.374507i
$159$	20.1397	−	34.8830i	1.59718	−	2.76640i
$160$	−0.592447	−	11.2828i	−0.0468370	−	0.891984i
$161$	−0.0657737	+	0.0939345i	−0.00518369	+	0.00740308i
$162$	4.21898	+	20.5512i	0.331474	+	1.61465i
$163$	0.886686	−	1.90150i	0.0694506	−	0.148937i	−0.868518	−	0.495658i	$-0.834927\pi$
$163$	0.886686	−	1.90150i	0.0694506	−	0.148937i	0.937968	+	0.346721i	$0.112705\pi$
$164$	5.24115	−	17.3621i	0.409265	−	1.35575i
$165$	−11.3199	−	16.1665i	−0.881253	−	1.25856i
$166$	0.278132	−	0.110127i	0.0215873	−	0.00854751i
$167$	−0.374831	+	4.28434i	−0.0290053	+	0.331532i	0.967804	+	0.251707i	$0.0809918\pi$
$167$	−0.374831	+	4.28434i	−0.0290053	+	0.331532i	−0.996809	+	0.0798254i	$0.974564\pi$
$168$	0.495158	−	0.228831i	0.0382022	−	0.0176547i
$169$	1.19724	+	3.28938i	0.0920952	+	0.253029i
$170$	1.31231	−	0.0366825i	0.100649	−	0.00281342i
$171$	5.08102	−	18.9626i	0.388555	−	1.45011i
$172$	−20.5941	+	6.77191i	−1.57028	+	0.516354i
$173$	7.59597	+	6.37378i	0.577511	+	0.484589i	0.884129	−	0.467243i	$-0.154753\pi$
$173$	7.59597	+	6.37378i	0.577511	+	0.484589i	−0.306618	+	0.951833i	$0.599197\pi$
$174$	−0.705774	+	11.8836i	−0.0535046	+	0.900891i
$175$	−0.0314475	−	0.0544687i	−0.00237721	−	0.00411745i
$176$	1.42244	+	12.6722i	0.107221	+	0.955200i
$177$	8.91520	+	33.2720i	0.670107	+	2.50087i
$178$	−13.5540	+	1.56853i	−1.01592	+	0.117566i
$179$	−18.0358	+	18.0358i	−1.34806	+	1.34806i	−0.460296	+	0.887766i	$0.652257\pi$
$179$	−18.0358	+	18.0358i	−1.34806	+	1.34806i	−0.887766	+	0.460296i	$0.847743\pi$
$180$	25.8359	+	5.39632i	1.92570	+	0.402218i
$181$	−4.69293	+	0.827491i	−0.348823	+	0.0615069i	−0.345315	−	0.938487i	$-0.612228\pi$
$181$	−4.69293	+	0.827491i	−0.348823	+	0.0615069i	−0.00350824	+	0.999994i	$0.501117\pi$
$182$	0.328037	+	0.141947i	0.0243158	+	0.0105218i
$183$	40.8918	−	3.57757i	3.02281	−	0.264462i
$184$	5.13053	+	0.922808i	0.378228	+	0.0680303i
$185$	11.9966	−	1.91844i	0.882007	−	0.141046i
$186$	−35.9134	+	17.9850i	−2.63330	+	1.31873i
$187$	−1.47606	+	0.129138i	−0.107940	+	0.00944353i
$188$	−0.500994	−	8.95445i	−0.0365387	−	0.653070i
$189$	0.120806	+	0.685125i	0.00878734	+	0.0498355i
$190$	−6.57713	−	5.21275i	−0.477155	−	0.378173i
$191$	9.00665	−	9.00665i	0.651698	−	0.651698i	−0.301703	−	0.953402i	$-0.597555\pi$
$191$	9.00665	−	9.00665i	0.651698	−	0.651698i	0.953402	+	0.301703i	$0.0975552\pi$
$192$	−18.8855	−	16.0689i	−1.36294	−	1.15967i
$193$	18.4348	−	4.93958i	1.32696	−	0.355559i	0.475381	−	0.879780i	$-0.342310\pi$
$193$	18.4348	−	4.93958i	1.32696	−	0.355559i	0.851582	+	0.524221i	$0.175643\pi$
$194$	3.55037	−	1.05849i	0.254902	−	0.0759951i
$195$	12.5736	+	21.7781i	0.900415	+	1.55956i
$196$	−12.8606	+	5.51265i	−0.918611	+	0.393761i
$197$	−8.16427	+	9.72980i	−0.581680	+	0.693220i	−0.973984	−	0.226616i	$-0.927234\pi$
$197$	−8.16427	+	9.72980i	−0.581680	+	0.693220i	0.392304	+	0.919836i	$0.371678\pi$
$198$	−29.4692	−	4.35103i	−2.09428	−	0.309214i
$199$	1.44809	−	5.40436i	0.102653	−	0.383105i	−0.895416	−	0.445231i	$-0.853122\pi$
$199$	1.44809	−	5.40436i	0.102653	−	0.383105i	0.998068	+	0.0621264i	$0.0197882\pi$
$200$	−1.64795	+	2.33641i	−0.116527	+	0.165209i
$201$	15.7240	−	5.72307i	1.10908	−	0.403674i
$202$	−1.12253	+	2.07617i	−0.0789806	+	0.146079i
$203$	−0.0147272	+	0.168333i	−0.00103365	+	0.0118147i
$204$	1.92036	−	2.14798i	0.134452	−	0.150389i
$205$	14.8359	−	10.3882i	1.03618	−	0.725544i
$206$	19.4439	+	18.3864i	1.35472	+	1.28104i
$207$	−5.14643	+	11.0366i	−0.357702	+	0.767094i
$208$	−0.398291	−	16.2434i	−0.0276165	−	1.12628i
$209$	7.75893	+	5.43286i	0.536696	+	0.375799i
$210$	0.529909	+	0.126231i	0.0365672	+	0.00871076i
$211$	−4.73540	+	8.20195i	−0.325998	+	0.564645i	−0.981714	−	0.190362i	$-0.939034\pi$
$211$	−4.73540	+	8.20195i	−0.325998	+	0.564645i	0.655716	+	0.755008i	$0.272367\pi$
$212$	−25.8076	−	3.07632i	−1.77248	−	0.211282i
$213$	−2.76164	+	15.6621i	−0.189225	+	1.07315i
$214$	−1.50607	+	1.33721i	−0.102953	+	0.0914097i
$215$	−20.3439	−	7.40456i	−1.38744	−	0.504987i
$216$	25.9679	−	18.0505i	1.76689	−	1.22818i
$217$	−0.516699	+	0.240941i	−0.0350758	+	0.0163561i
$218$	−7.12723	−	9.59642i	−0.482717	−	0.649951i
$219$	−28.9424	+	24.2855i	−1.95574	+	1.64106i
$220$	−6.71005	+	10.8232i	−0.452391	+	0.729698i
$221$	1.88798			0.126999
$222$	15.0307	−	22.0232i	1.00879	−	1.47810i
$223$		−	25.0606i		−	1.67818i	−0.543989	−	0.839092i	$-0.683087\pi$
$223$		−	25.0606i		−	1.67818i	0.543989	−	0.839092i	$-0.316913\pi$
$224$	−0.261588	−	0.235487i	−0.0174781	−	0.0157341i
$225$	−4.29320	−	5.11644i	−0.286213	−	0.341096i
$226$	−3.76447	−	5.06865i	−0.250409	−	0.337161i
$227$	−5.07215	−	10.8773i	−0.336650	−	0.721949i	0.662994	−	0.748625i	$-0.269286\pi$
$227$	−5.07215	−	10.8773i	−0.336650	−	0.721949i	−0.999644	+	0.0266761i	$0.991508\pi$
$228$	−18.2303	+	2.62778i	−1.20733	+	0.174029i
$229$	7.30572	−	20.0723i	0.482776	−	1.32642i	−0.424328	−	0.905508i	$-0.639490\pi$
$229$	7.30572	−	20.0723i	0.482776	−	1.32642i	0.907104	−	0.420907i	$-0.138288\pi$
$230$	3.45634	+	3.89281i	0.227904	+	0.256684i
$231$	−0.605469	−	0.106761i	−0.0398370	−	0.00702433i
$232$	7.22712	−	2.60242i	0.474484	−	0.170857i
$233$	6.25374	+	3.61060i	0.409696	+	0.236538i	0.690659	−	0.723180i	$-0.257320\pi$
$233$	6.25374	+	3.61060i	0.409696	+	0.236538i	−0.280963	+	0.959719i	$0.590654\pi$
$234$	36.9237	+	8.79567i	2.41378	+	0.574991i
$235$	5.13711	−	7.33656i	0.335108	−	0.478584i
$236$	17.4660	−	13.7455i	1.13694	−	0.894756i
$237$	16.9872	+	7.92125i	1.10344	+	0.514541i
$238$	0.0280994	−	0.0297155i	0.00182141	−	0.00192617i
$239$	8.35761	+	11.9359i	0.540609	+	0.772069i	0.992791	−	0.119856i	$-0.0382434\pi$
$239$	8.35761	+	11.9359i	0.540609	+	0.772069i	−0.452183	+	0.891925i	$0.649354\pi$
$240$	−4.89653	−	24.2740i	−0.316070	−	1.56688i
$241$	−26.4883	−	2.31743i	−1.70626	−	0.149279i	−0.808131	−	0.589003i	$-0.799521\pi$
$241$	−26.4883	−	2.31743i	−1.70626	−	0.149279i	−0.898133	+	0.439725i	$0.855076\pi$
$242$	−0.563021	+	1.04134i	−0.0361923	+	0.0669396i
$243$	4.25414	+	11.6881i	0.272903	+	0.749795i
$244$	−12.5170	−	23.3419i	−0.801322	−	1.49431i
$245$	−13.4971	−	3.61655i	−0.862301	−	0.231053i
$246$	5.80586	−	39.3227i	0.370168	−	2.50712i
$247$	−9.24550	−	7.75789i	−0.588277	−	0.493623i
$248$	19.7960	+	16.7268i	1.25705	+	1.06216i
$249$	0.567798	−	0.327818i	0.0359827	−	0.0207746i
$250$	−16.2705	+	4.85080i	−1.02904	+	0.306791i
$251$	−0.927471	−	3.46137i	−0.0585414	−	0.218480i	0.930458	−	0.366398i	$-0.119409\pi$
$251$	−0.927471	−	3.46137i	−0.0585414	−	0.218480i	−0.989000	+	0.147919i	$0.952743\pi$
$252$	0.687983	−	0.450243i	0.0433389	−	0.0283627i
$253$	−4.15457	−	4.15457i	−0.261195	−	0.261195i
$254$	2.48759	−	3.13868i	0.156085	−	0.196938i
$255$	2.83363	−	0.499645i	0.177449	−	0.0312890i
$256$	−4.72887	+	15.2852i	−0.295554	+	0.955326i
$257$	−0.453224	−	5.18038i	−0.0282713	−	0.323143i	−0.997141	−	0.0755697i	$-0.975922\pi$
$257$	−0.453224	−	5.18038i	−0.0282713	−	0.323143i	0.968869	−	0.247573i	$-0.0796331\pi$
$258$	−42.4847	+	21.2758i	−2.64498	+	1.32457i
$259$	0.222001	−	0.306520i	0.0137945	−	0.0190462i
$260$	9.71939	−	12.9933i	0.602771	−	0.805808i
$261$	1.56393	+	17.8758i	0.0968049	+	1.10649i
$262$	−3.37249	+	7.79380i	−0.208353	+	0.481503i
$263$	1.73370	+	9.83230i	0.106905	+	0.606286i	0.990443	+	0.137926i	$0.0440437\pi$
$263$	1.73370	+	9.83230i	0.106905	+	0.606286i	−0.883538	+	0.468360i	$0.844845\pi$
$264$	7.14092	+	27.0207i	0.439493	+	1.66301i
$265$	−18.3530	−	18.3530i	−1.12742	−	1.12742i
$266$	−0.259707	+	0.0300544i	−0.0159237	+	0.00184276i
$267$	−28.8860	+	7.73999i	−1.76780	+	0.473679i
$268$	−7.39141	−	7.87042i	−0.451502	−	0.480762i
$269$	−20.6272	+	11.9091i	−1.25766	+	0.726112i	−0.972620	−	0.232402i	$-0.925341\pi$
$269$	−20.6272	+	11.9091i	−1.25766	+	0.726112i	−0.285044	+	0.958515i	$0.592008\pi$
$270$	31.5267	+	1.87240i	1.91866	+	0.113950i
$271$	−2.45691	+	2.92803i	−0.149247	+	0.177865i	−0.835488	−	0.549509i	$-0.814815\pi$
$271$	−2.45691	+	2.92803i	−0.149247	+	0.177865i	0.686241	+	0.727374i	$0.259259\pi$
$272$	−1.76207	−	0.592845i	−0.106841	−	0.0359465i
$273$	0.756699	+	0.202757i	0.0457975	+	0.0122714i
$274$	5.86902	−	0.164055i	0.354561	−	0.00991093i
$275$	3.02818	−	1.10217i	0.182606	−	0.0664633i
$276$	11.4195	+	0.358413i	0.687376	+	0.0215739i
$277$	−21.9739	−	1.92246i	−1.32028	−	0.115510i	−0.594868	−	0.803823i	$-0.702796\pi$
$277$	−21.9739	−	1.92246i	−1.32028	−	0.115510i	−0.725413	+	0.688313i	$0.758351\pi$
$278$	0.0301744	+	0.0762073i	0.00180974	+	0.00457061i
$279$	−49.5933	+	34.7256i	−2.96908	+	2.07897i
$280$	−0.0598481	−	0.346359i	−0.00357661	−	0.0206989i
$281$	−0.298828	−	0.139346i	−0.0178266	−	0.00831268i	0.413685	−	0.910420i	$-0.364242\pi$
$281$	−0.298828	−	0.139346i	−0.0178266	−	0.00831268i	−0.431511	+	0.902108i	$0.642019\pi$
$282$	−3.95286	−	19.2549i	−0.235389	−	1.14661i
$283$	21.2880	+	14.9060i	1.26544	+	0.886072i	0.997014	−	0.0772270i	$-0.0246066\pi$
$283$	21.2880	+	14.9060i	1.26544	+	0.886072i	0.268429	+	0.963299i	$0.413496\pi$
$284$	9.99063	−	2.34371i	0.592835	−	0.139073i
$285$	−15.9294	−	9.19686i	−0.943578	−	0.544775i
$286$	−10.0810	+	15.2892i	−0.596099	+	0.904072i
$287$	0.0979736	−	0.555636i	0.00578320	−	0.0327982i
$288$	−31.6993	−	19.8035i	−1.86790	−	1.16693i
$289$	−5.74046	+	15.7718i	−0.337674	+	0.927752i
$290$	7.27885	+	2.42119i	0.427429	+	0.142177i
$291$	7.35914	−	3.43162i	0.431400	−	0.201165i
$292$	21.7604	+	10.9909i	1.27343	+	0.643193i
$293$	6.50131	+	7.74797i	0.379811	+	0.452641i	0.921755	−	0.387774i	$-0.126756\pi$
$293$	6.50131	+	7.74797i	0.379811	+	0.452641i	−0.541944	+	0.840415i	$0.682311\pi$
$294$	−26.1198	+	16.0697i	−1.52334	+	0.937205i
$295$	22.1959			1.29230
$296$	−16.8822	−	3.31551i	−0.981256	−	0.192710i
$297$	−35.6450			−2.06833
$298$	21.2127	−	13.0507i	1.22882	−	0.756007i
$299$	4.81224	+	5.73500i	0.278299	+	0.331664i
$300$	−2.82516	+	5.59342i	−0.163110	+	0.322936i
$301$	−0.611242	+	0.285027i	−0.0352314	+	0.0164287i
$302$	18.8081	+	6.25619i	1.08228	+	0.360003i
$303$	−1.76924	+	4.86095i	−0.101640	+	0.279254i
$304$	6.19286	+	10.1437i	0.355185	+	0.581780i
$305$	4.59305	−	26.0485i	0.262997	−	1.49153i
$306$	2.39067	−	3.62581i	0.136666	−	0.207273i
$307$	16.3751	+	9.45419i	0.934578	+	0.539579i	0.888257	−	0.459348i	$-0.151917\pi$
$307$	16.3751	+	9.45419i	0.934578	+	0.539579i	0.0463217	+	0.998927i	$0.485250\pi$
$308$	0.0906038	+	0.386221i	0.00516263	+	0.0220070i
$309$	48.0447	+	33.6413i	2.73317	+	1.91379i
$310$	5.20468	+	25.3527i	0.295606	+	1.43993i
$311$	−24.1118	−	11.2435i	−1.36725	−	0.637561i	−0.406164	−	0.913800i	$-0.633134\pi$
$311$	−24.1118	−	11.2435i	−1.36725	−	0.637561i	−0.961089	+	0.276239i	$0.910912\pi$
$312$	−6.06360	−	35.0919i	−0.343284	−	1.98669i
$313$	12.3248	−	8.62990i	0.696638	−	0.487791i	−0.170820	−	0.985302i	$-0.554642\pi$
$313$	12.3248	−	8.62990i	0.696638	−	0.487791i	0.867457	+	0.497511i	$0.165753\pi$
$314$	−4.43931	−	11.2118i	−0.250525	−	0.632717i
$315$	0.817976	+	0.0715636i	0.0460877	+	0.00403215i
$316$	0.379398	−	12.0882i	0.0213428	−	0.680012i
$317$	9.14834	−	3.32973i	0.513822	−	0.187016i	−0.0720783	−	0.997399i	$-0.522963\pi$
$317$	9.14834	−	3.32973i	0.513822	−	0.187016i	0.585901	+	0.810383i	$0.300741\pi$
$318$	−56.9415	+	1.59167i	−3.19312	+	0.0892563i
$319$	−8.36273	−	2.24079i	−0.468223	−	0.125460i
$320$	−13.1512	+	9.07476i	−0.735175	+	0.507294i
$321$	−2.83742	+	3.38150i	−0.158369	+	0.188737i
$322$	0.161887	+	0.00961457i	0.00902159	+	0.000535799i
$323$	−1.19594	+	0.690475i	−0.0665437	+	0.0384190i
$324$	21.6276	−	20.3113i	1.20153	−	1.12840i
$325$	−3.96624	+	1.06275i	−0.220007	+	0.0589508i
$326$	−2.94746	+	0.341093i	−0.163245	+	0.0188914i
$327$	−18.5255	−	18.5255i	−1.02446	−	1.02446i
$328$	−24.7967	+	6.55318i	−1.36917	+	0.361839i
$329$	−0.0484493	−	0.274770i	−0.00267110	−	0.0151485i
$330$	−11.0840	+	25.6151i	−0.610157	+	1.41007i
$331$	1.65470	+	18.9133i	0.0909505	+	1.03957i	0.895315	+	0.445433i	$0.146950\pi$
$331$	1.65470	+	18.9133i	0.0909505	+	1.03957i	−0.804365	+	0.594136i	$0.797494\pi$
$332$	−0.338759	−	0.253403i	−0.0185918	−	0.0139073i
$333$	17.5646	−	36.1496i	0.962532	−	1.98099i
$334$	5.43829	−	2.72343i	0.297570	−	0.149020i
$335$	−0.939748	−	10.7414i	−0.0513439	−	0.586864i
$336$	−0.642567	−	0.426846i	−0.0350549	−	0.0232863i
$337$	17.2527	−	3.04212i	0.939816	−	0.165715i	0.317303	−	0.948324i	$-0.397223\pi$
$337$	17.2527	−	3.04212i	0.939816	−	0.165715i	0.622513	+	0.782609i	$0.286112\pi$
$338$	3.07487	−	3.87969i	0.167251	−	0.211027i
$339$	−9.78483	−	9.78483i	−0.531439	−	0.531439i
$340$	−1.01667	−	1.55350i	−0.0551368	−	0.0842504i
$341$	−7.56028	−	28.2154i	−0.409412	−	1.52795i
$342$	−26.6059	+	7.93216i	−1.43868	+	0.428922i
$343$	−0.754168	+	0.435419i	−0.0407213	+	0.0235104i
$344$	23.4181	+	19.7874i	1.26262	+	1.06687i
$345$	8.74031	+	7.33399i	0.470562	+	0.394849i
$346$	2.04826	−	13.8727i	0.110115	−	0.745802i
$347$	−13.3338	−	3.57277i	−0.715794	−	0.191797i	−0.117500	−	0.993073i	$-0.537488\pi$
$347$	−13.3338	−	3.57277i	−0.715794	−	0.191797i	−0.598294	+	0.801276i	$0.704155\pi$
$348$	14.8369	−	7.95624i	0.795340	−	0.426499i
$349$	−3.87718	−	10.6525i	−0.207541	−	0.570213i	0.791627	−	0.611005i	$-0.209234\pi$
$349$	−3.87718	−	10.6525i	−0.207541	−	0.570213i	−0.999168	+	0.0407912i	$0.987012\pi$
$350$	−0.0423038	+	0.0782430i	−0.00226123	+	0.00418226i
$351$	45.2461	+	3.95852i	2.41506	+	0.211290i
$352$	14.2096	−	11.1041i	0.757375	−	0.591849i
$353$	6.58949	+	9.41077i	0.350723	+	0.500885i	0.955290	−	0.295669i	$-0.0955427\pi$
$353$	6.58949	+	9.41077i	0.350723	+	0.500885i	−0.604567	+	0.796554i	$0.706654\pi$
$354$	33.4698	−	35.3947i	1.77890	−	1.88121i
$355$	9.28778	+	4.33096i	0.492944	+	0.229864i
$356$	11.9336	+	15.1636i	0.632477	+	0.803669i
$357$	0.0514129	−	0.0734253i	0.00272106	−	0.00388608i
$358$	35.0898	+	8.35883i	1.85455	+	0.441778i
$359$	22.9987	+	13.2783i	1.21382	+	0.700802i	0.963590	−	0.267384i	$-0.0861591\pi$
$359$	22.9987	+	13.2783i	1.21382	+	0.700802i	0.250234	+	0.968185i	$0.419492\pi$
$360$	−12.6459	−	35.1186i	−0.666496	−	1.85091i
$361$	−10.0176	−	1.76637i	−0.527242	−	0.0929670i
$362$	4.47443	+	5.03947i	0.235171	+	0.264868i
$363$	−0.887391	+	2.43809i	−0.0465759	+	0.127966i
$364$	−0.0721169	−	0.500314i	−0.00377995	−	0.0262236i
$365$	10.2889	+	22.0645i	0.538543	+	1.15491i
$366$	−34.6122	−	46.6034i	−1.80921	−	2.43600i
$367$	11.6467	+	13.8800i	0.607952	+	0.724530i	0.978949	−	0.204105i	$-0.0654283\pi$
$367$	11.6467	+	13.8800i	0.607952	+	0.724530i	−0.370997	+	0.928634i	$0.620984\pi$
$368$	−2.69046	−	6.86362i	−0.140250	−	0.357791i
$369$		−	59.9150i		−	3.11905i
$370$	−11.2009	−	13.0283i	−0.582306	−	0.677311i
$371$	−0.808559			−0.0419783
$372$	48.2768	+	29.9302i	2.50304	+	1.55181i
$373$	20.9778	−	17.6025i	1.08619	−	0.911422i	0.0897701	−	0.995963i	$-0.471387\pi$
$373$	20.9778	−	17.6025i	1.08619	−	0.911422i	0.996420	+	0.0845408i	$0.0269423\pi$
$374$	1.24938	+	1.68223i	0.0646041	+	0.0869859i
$375$	−33.7251	+	15.7263i	−1.74156	+	0.812101i
$376$	−10.4145	+	7.23917i	−0.537084	+	0.373332i
$377$	10.3664	+	3.77307i	0.533898	+	0.194323i
$378$	0.735715	−	0.653225i	0.0378411	−	0.0335983i
$379$	3.40859	−	19.3311i	0.175088	−	0.992971i	−0.762955	−	0.646451i	$-0.776252\pi$
$379$	3.40859	−	19.3311i	0.175088	−	0.992971i	0.938043	−	0.346520i	$-0.112637\pi$
$380$	−1.40481	+	11.7851i	−0.0720652	+	0.604564i
$381$	4.38885	−	7.60171i	0.224848	−	0.389448i
$382$	−17.5230	−	4.17419i	−0.896554	−	0.213570i
$383$	4.44919	+	3.11535i	0.227343	+	0.159187i	0.681698	−	0.731633i	$-0.261242\pi$
$383$	4.44919	+	3.11535i	0.227343	+	0.159187i	−0.454356	+	0.890820i	$0.650130\pi$
$384$	−5.35996	+	34.6556i	−0.273525	+	1.76851i
$385$	−0.167428	+	0.359050i	−0.00853291	+	0.0182989i
$386$	−19.6109	−	18.5444i	−0.998168	−	0.943883i
$387$	−58.6677	+	41.0795i	−2.98224	+	2.08819i
$388$	−3.90597	−	3.49206i	−0.198296	−	0.177282i
$389$	0.352224	−	4.02593i	0.0178584	−	0.204123i	−0.982024	−	0.188759i	$-0.939554\pi$
$389$	0.352224	−	4.02593i	0.0178584	−	0.204123i	0.999882	−	0.0153643i	$-0.00489081\pi$
$390$	16.9143	−	31.2838i	0.856487	−	1.58412i
$391$	0.804946	−	0.292976i	0.0407079	−	0.0148165i
$392$	16.1704	+	11.4055i	0.816728	+	0.576064i
$393$	−4.81728	+	17.9783i	−0.243000	+	0.906887i
$394$	17.7698	+	2.62365i	0.895229	+	0.132177i
$395$	7.76340	−	9.25206i	0.390619	−	0.465522i
$396$	16.5974	+	38.7202i	0.834049	+	1.94577i
$397$	10.8966	+	18.8734i	0.546884	+	0.947230i	0.998486	+	0.0550109i	$0.0175193\pi$
$397$	10.8966	+	18.8734i	0.546884	+	0.947230i	−0.451602	+	0.892219i	$0.649147\pi$
$398$	−7.58271	+	2.26067i	−0.380087	+	0.113317i
$399$	−0.553481	+	0.148305i	−0.0277087	+	0.00742453i
$400$	4.03544	+	0.253562i	0.201772	+	0.0126781i
$401$	2.90073	−	2.90073i	0.144856	−	0.144856i	−0.630960	−	0.775815i	$-0.717339\pi$
$401$	2.90073	−	2.90073i	0.144856	−	0.144856i	0.775815	+	0.630960i	$0.217339\pi$
$402$	−18.5458	−	14.6986i	−0.924980	−	0.733099i
$403$	6.46325	+	36.6549i	0.321957	+	1.82591i
$404$	3.33261	−	0.186457i	0.165804	−	0.00927657i
$405$	29.5168	−	2.58239i	1.46670	−	0.128320i
$406$	0.213672	−	0.107004i	0.0106044	−	0.00531054i
$407$	13.4912	+	13.9289i	0.668736	+	0.690431i
$408$	−4.01035	−	0.721326i	−0.198542	−	0.0357110i
$409$	−7.21086	+	0.630869i	−0.356554	+	0.0311944i	−0.264026	−	0.964516i	$-0.585050\pi$
$409$	−7.21086	+	0.630869i	−0.356554	+	0.0311944i	−0.0925283	+	0.995710i	$0.529495\pi$
$410$	−23.5069	−	10.1718i	−1.16092	−	0.502348i
$411$	12.6728	−	2.23456i	0.625104	−	0.110223i
$412$	7.73768	−	37.0456i	0.381208	−	1.82511i
$413$	0.488931	−	0.488931i	0.0240587	−	0.0240587i
$414$	17.1074	−	1.97974i	0.840783	−	0.0972991i
$415$	−0.109345	−	0.408080i	−0.00536752	−	0.0200319i
$416$	−19.2702	+	12.5170i	−0.944800	+	0.613695i
$417$	0.0898210	+	0.155575i	0.00439855	+	0.00761852i
$418$	0.794157	−	13.3717i	0.0388435	−	0.654033i
$419$	3.98814	+	3.34644i	0.194833	+	0.163485i	0.734986	−	0.678083i	$-0.237189\pi$
$419$	3.98814	+	3.34644i	0.194833	+	0.163485i	−0.540152	+	0.841567i	$0.681633\pi$
$420$	−0.240644	−	0.731824i	−0.0117422	−	0.0357093i
$421$	5.27873	−	19.7005i	0.257270	−	0.960144i	−0.709544	−	0.704661i	$-0.751099\pi$
$421$	5.27873	−	19.7005i	0.257270	−	0.960144i	0.966814	−	0.255483i	$-0.0822344\pi$
$422$	13.3885	−	0.374245i	0.651742	−	0.0182179i
$423$	−10.1337	−	27.8420i	−0.492715	−	1.35372i
$424$	15.4194	+	33.3652i	0.748830	+	1.62036i
$425$	−0.0409480	+	0.468038i	−0.00198627	+	0.0227032i
$426$	20.9116	−	8.27998i	1.01317	−	0.401166i
$427$	−0.472619	−	0.674971i	−0.0228717	−	0.0326641i
$428$	2.72676	+	0.823137i	0.131803	+	0.0397878i
$429$	−16.9632	+	36.3777i	−0.818991	+	1.75633i
$430$	6.15701	+	29.9915i	0.296917	+	1.44632i
$431$	−17.1618	+	24.5096i	−0.826656	+	1.18059i	0.154618	+	0.987974i	$0.450585\pi$
$431$	−17.1618	+	24.5096i	−0.826656	+	1.18059i	−0.981275	+	0.192613i	$0.938304\pi$
$432$	−40.9856	−	17.9022i	−1.97192	−	0.861322i
$433$	5.84377	−	10.1217i	0.280834	−	0.486418i	−0.690757	−	0.723087i	$-0.742722\pi$
$433$	5.84377	−	10.1217i	0.280834	−	0.486418i	0.971590	+	0.236669i	$0.0760558\pi$
$434$	0.673116	+	0.443819i	0.0323106	+	0.0213040i
$435$	16.5573	+	2.91949i	0.793859	+	0.139979i
$436$	−6.27732	+	15.6963i	−0.300629	+	0.751714i
$437$	−5.14570	−	1.87288i	−0.246152	−	0.0895922i
$438$	50.6999	+	16.8645i	2.42254	+	0.805817i
$439$	−0.270385	−	0.579843i	−0.0129048	−	0.0276744i	0.899750	−	0.436406i	$-0.143749\pi$
$439$	−0.270385	−	0.579843i	−0.0129048	−	0.0276744i	−0.912655	+	0.408732i	$0.865971\pi$
$440$	18.0091	+	0.0617753i	0.858550	+	0.00294502i
$441$	−35.4110	+	29.7134i	−1.68624	+	1.41492i
$442$	−1.39909	−	2.27409i	−0.0665481	−	0.108168i
$443$		−	12.8589i		−	0.610946i	−0.952201	−	0.305473i	$-0.901185\pi$
$443$		−	12.8589i		−	0.610946i	0.952201	−	0.305473i	$-0.0988146\pi$
$444$	−37.6657	−	1.78427i	−1.78753	−	0.0846777i
$445$			19.2700i			0.913487i
$446$	−30.1858	+	18.5712i	−1.42934	+	0.879374i
$447$	41.8158	−	35.0877i	1.97782	−	1.65959i
$448$	−0.0897959	+	0.489593i	−0.00424246	+	0.0231311i
$449$	15.2901	+	32.7897i	0.721583	+	1.54744i	0.832757	+	0.553639i	$0.186761\pi$
$449$	15.2901	+	32.7897i	0.721583	+	1.54744i	−0.111174	+	0.993801i	$0.535461\pi$
$450$	−2.98131	+	8.96274i	−0.140540	+	0.422508i
$451$	27.1647	+	9.88713i	1.27913	+	0.465567i
$452$	−3.31556	+	8.29047i	−0.155951	+	0.389951i
$453$	42.7829	+	7.54378i	2.01012	+	0.354438i
$454$	−9.34302	+	14.1701i	−0.438490	+	0.665034i
$455$	0.252399	−	0.437168i	0.0118327	−	0.0204948i
$456$	16.6748	+	20.0112i	0.780869	+	0.937112i
$457$	7.92471	−	11.3177i	0.370702	−	0.529417i	−0.589852	−	0.807512i	$-0.700814\pi$
$457$	7.92471	−	11.3177i	0.370702	−	0.529417i	0.960554	+	0.278094i	$0.0897027\pi$
$458$	−29.5912	+	6.07482i	−1.38271	+	0.283858i
$459$	2.19627	−	4.70993i	0.102513	−	0.219841i
$460$	2.12759	−	7.04796i	0.0991996	−	0.328613i
$461$	−15.9297	−	22.7500i	−0.741921	−	1.05957i	−0.995730	−	0.0923183i	$-0.970572\pi$
$461$	−15.9297	−	22.7500i	−0.741921	−	1.05957i	0.253809	−	0.967254i	$-0.418317\pi$
$462$	0.320090	+	0.808408i	0.0148920	+	0.0376106i
$463$	−0.300325	+	3.43274i	−0.0139573	+	0.159533i	−0.999975	−	0.00710953i	$-0.997737\pi$
$463$	−0.300325	+	3.43274i	−0.0139573	+	0.159533i	0.986017	+	0.166642i	$0.0532925\pi$
$464$	−8.49031	−	6.77660i	−0.394153	−	0.314596i
$465$	19.4011	+	53.3040i	0.899703	+	2.47191i
$466$	−0.285350	−	10.2083i	−0.0132186	−	0.472892i
$467$	−3.73165	+	13.9267i	−0.172680	+	0.644450i	0.824255	+	0.566218i	$0.191594\pi$
$467$	−3.73165	+	13.9267i	−0.172680	+	0.644450i	−0.996935	+	0.0782319i	$0.975073\pi$
$468$	−16.7679	−	50.9929i	−0.775097	−	2.35715i
$469$	−0.257311	−	0.215910i	−0.0118815	−	0.00996979i
$470$	−12.6438	−	0.750926i	−0.583216	−	0.0346376i
$471$	−13.2146	−	22.8884i	−0.608899	−	1.05464i
$472$	−29.4998	−	10.8518i	−1.35784	−	0.499494i
$473$	−8.94362	−	33.3780i	−0.411228	−	1.53472i
$474$	−3.04717	−	26.3313i	−0.139961	−	1.20944i
$475$	2.12373	−	2.12373i	0.0974435	−	0.0974435i
$476$	−0.0566157	−	0.0118253i	−0.00259498	−	0.000542010i
$477$	−84.5590	+	14.9100i	−3.87169	+	0.682684i
$478$	8.18347	−	18.9119i	0.374303	−	0.865012i
$479$	7.11285	−	0.622293i	0.324994	−	0.0284333i	0.0765087	−	0.997069i	$-0.475623\pi$
$479$	7.11285	−	0.622293i	0.324994	−	0.0284333i	0.248486	+	0.968636i	$0.420067\pi$
$480$	−25.6096	+	23.8862i	−1.16891	+	1.09025i
$481$	−15.5783	−	19.1790i	−0.710310	−	0.874487i
$482$	16.8379	+	33.6228i	0.766944	+	1.53147i
$483$	0.354084	−	0.0309784i	0.0161114	−	0.00140956i
$484$	1.67153	−	0.0935203i	0.0759784	−	0.00425092i
$485$	−0.908573	−	5.15278i	−0.0412562	−	0.233975i
$486$	10.9259	−	13.7857i	0.495611	−	0.625331i
$487$	10.1094	−	10.1094i	0.458102	−	0.458102i	−0.439930	−	0.898032i	$-0.644997\pi$
$487$	10.1094	−	10.1094i	0.458102	−	0.458102i	0.898032	+	0.439930i	$0.144997\pi$
$488$	−18.8398	+	32.3745i	−0.852837	+	1.46552i
$489$	−6.28155	+	1.68314i	−0.284061	+	0.0761140i
$490$	5.64592	+	18.9375i	0.255057	+	0.855508i
$491$	14.3401	+	24.8378i	0.647160	+	1.12091i	0.983798	+	0.179279i	$0.0573766\pi$
$491$	14.3401	+	24.8378i	0.647160	+	1.12091i	−0.336639	+	0.941634i	$0.609290\pi$
$492$	−51.6669	+	22.1469i	−2.32933	+	0.998461i
$493$	0.811358	−	0.966938i	0.0365417	−	0.0435487i
$494$	−2.49305	+	16.8853i	−0.112168	+	0.759705i
$495$	−10.8886	+	40.6369i	−0.489407	+	1.82649i
$496$	5.47778	−	36.2399i	0.245960	−	1.62722i
$497$	0.299993	−	0.109189i	0.0134565	−	0.00489778i
$498$	−0.815628	−	0.440987i	−0.0365492	−	0.0197611i
$499$	2.99526	−	34.2360i	0.134086	−	1.53261i	−0.569492	−	0.821997i	$-0.692860\pi$
$499$	2.99526	−	34.2360i	0.134086	−	1.53261i	0.703579	−	0.710617i	$-0.251584\pi$
$500$	17.9001	+	16.0032i	0.800517	+	0.715686i
$501$	10.9196	−	7.64597i	0.487851	−	0.341597i
$502$	−3.48194	+	3.68220i	−0.155407	+	0.164345i
$503$	−2.91918	+	6.26021i	−0.130160	+	0.279129i	−0.960577	−	0.278013i	$-0.910324\pi$
$503$	−2.91918	+	6.26021i	−0.130160	+	0.279129i	0.830417	+	0.557142i	$0.188102\pi$
$504$	−1.05215	−	0.495028i	−0.0468667	−	0.0220503i
$505$	2.73048	+	1.91190i	0.121505	+	0.0850784i
$506$	−1.92546	+	8.08296i	−0.0855972	+	0.359331i
$507$	5.42500	−	9.39638i	0.240933	−	0.417308i
$508$	−5.62400	−	0.670392i	−0.249525	−	0.0297438i
$509$	−6.37449	+	36.1515i	−0.282544	+	1.60239i	0.431384	+	0.902168i	$0.358025\pi$
$509$	−6.37449	+	36.1515i	−0.282544	+	1.60239i	−0.713928	+	0.700219i	$0.753086\pi$
$510$	−2.70169	−	3.04287i	−0.119633	−	0.134740i
$511$	0.712679	+	0.259394i	0.0315271	+	0.0114749i
$512$	21.9155	−	5.63118i	0.968538	−	0.248866i
$513$	−30.1087	+	14.0399i	−1.32933	+	0.619878i
$514$	−5.90395	+	4.38484i	−0.260412	+	0.193407i
$515$	28.9517	−	24.2933i	1.27576	−	1.07049i
$516$	57.1103	+	35.4067i	2.51414	+	1.55869i
$517$	14.2954			0.628712
$518$	−0.533720	−	0.0402552i	−0.0234503	−	0.00176871i
$519$		−	30.7348i		−	1.34911i
$520$	−22.8531	−	2.07840i	−1.00217	−	0.0911439i
$521$	6.96102	+	8.29582i	0.304968	+	0.363447i	0.896662	−	0.442716i	$-0.145985\pi$
$521$	6.96102	+	8.29582i	0.304968	+	0.363447i	−0.591694	+	0.806163i	$0.701541\pi$
$522$	20.3726	−	15.1307i	0.891686	−	0.662252i
$523$	−10.0338	−	21.5175i	−0.438746	−	0.940894i	−0.994017	−	0.109225i	$-0.965163\pi$
$523$	−10.0338	−	21.5175i	−0.438746	−	0.940894i	0.555271	−	0.831670i	$-0.312615\pi$
$524$	11.8869	−	1.71342i	0.519282	−	0.0748510i
$525$	−0.0666760	+	0.183191i	−0.00290998	+	0.00799511i
$526$	10.5583	−	9.37451i	0.460365	−	0.408748i
$527$	4.19405	+	0.739524i	0.182696	+	0.0322142i
$528$	27.2549	−	28.6250i	1.18612	−	1.24574i
$529$	−16.9769	−	9.80163i	−0.738127	−	0.426158i
$530$	−8.50582	+	35.7069i	−0.369469	+	1.55101i
$531$	42.1164	−	60.1484i	1.82770	−	2.61022i
$532$	0.228657	+	0.290548i	0.00991355	+	0.0125968i
$533$	−33.3836	−	15.5670i	−1.44600	−	0.674283i
$534$	30.7289	+	29.0577i	1.32977	+	1.25745i
$535$	1.63149	+	2.33002i	0.0705357	+	0.100735i
$536$	−4.00257	+	14.7354i	−0.172885	+	0.636473i
$537$	78.7584	+	6.89047i	3.39868	+	0.297346i
$538$	29.6305	+	16.0204i	1.27746	+	0.690687i
$539$	−7.62815	−	20.9582i	−0.328567	−	0.902732i
$540$	−21.1076	−	39.3618i	−0.908329	−	1.69386i
$541$	18.6656	+	5.00143i	0.802496	+	0.215028i	0.636680	−	0.771128i	$-0.280307\pi$
$541$	18.6656	+	5.00143i	0.802496	+	0.215028i	0.165817	+	0.986157i	$0.446974\pi$
$542$	5.34754	+	0.789546i	0.229697	+	0.0339139i
$543$	11.3148	+	9.49428i	0.485566	+	0.407438i
$544$	0.591701	+	2.56176i	0.0253690	+	0.109835i
$545$	−14.6202	+	8.44100i	−0.626263	+	0.361573i
$546$	−0.316531	−	1.06170i	−0.0135463	−	0.0454368i
$547$	−5.23254	−	19.5281i	−0.223727	−	0.834961i	−0.982910	−	0.184084i	$-0.941068\pi$
$547$	−5.23254	−	19.5281i	−0.223727	−	0.834961i	0.759183	−	0.650877i	$-0.225599\pi$
$548$	−4.54686	−	6.94772i	−0.194232	−	0.296792i
$549$	−61.8732	−	61.8732i	−2.64068	−	2.64068i
$550$	−3.57161	−	2.83071i	−0.152294	−	0.120702i
$551$	−7.94647	+	1.40118i	−0.338531	+	0.0596922i
$552$	−8.03077	−	14.0205i	−0.341812	−	0.596754i
$553$	−0.0327921	−	0.374816i	−0.00139446	−	0.0159388i
$554$	13.9682	+	27.8924i	0.593450	+	1.18503i
$555$	−28.4567	−	24.6626i	−1.20792	−	1.04687i
$556$	0.0694316	−	0.0928189i	0.00294455	−	0.00393640i
$557$	1.40618	+	16.0727i	0.0595816	+	0.681021i	0.965983	+	0.258604i	$0.0832626\pi$
$557$	1.40618	+	16.0727i	0.0595816	+	0.681021i	−0.906402	+	0.422417i	$0.861182\pi$
$558$	78.5786	+	34.0021i	3.32650	+	1.43942i
$559$	7.64586	+	43.3618i	0.323385	+	1.83401i
$560$	−0.372842	+	0.328758i	−0.0157554	+	0.0138925i
$561$	3.24747	+	3.24747i	0.137108	+	0.137108i
$562$	0.0536040	+	0.463204i	0.00226115	+	0.0195391i
$563$	3.15271	−	0.844765i	0.132871	−	0.0356026i	−0.191771	−	0.981440i	$-0.561423\pi$
$563$	3.15271	−	0.844765i	0.132871	−	0.0356026i	0.324641	+	0.945837i	$0.394756\pi$
$564$	−20.2634	+	19.0301i	−0.853242	+	0.801312i
$565$	−7.72214	+	4.45838i	−0.324873	+	0.187565i
$566$	2.17891	−	36.6878i	0.0915866	−	1.54210i
$567$	0.593311	−	0.707080i	0.0249167	−	0.0296946i
$568$	−10.2266	−	10.2970i	−0.429098	−	0.432052i
$569$	−28.5266	−	7.64368i	−1.19590	−	0.320440i	−0.394683	−	0.918817i	$-0.629146\pi$
$569$	−28.5266	−	7.64368i	−1.19590	−	0.320440i	−0.801214	+	0.598377i	$0.795812\pi$
$570$	0.726840	+	26.0025i	0.0304440	+	1.08912i
$571$	28.2252	−	10.2731i	1.18119	−	0.429916i	0.324565	−	0.945863i	$-0.394782\pi$
$571$	28.2252	−	10.2731i	1.18119	−	0.429916i	0.856621	+	0.515947i	$0.172560\pi$
$572$	25.8865	+	0.812473i	1.08237	+	0.0339712i
$573$	−39.3300	−	3.44093i	−1.64304	−	0.143747i
$574$	−0.741872	+	0.293745i	−0.0309651	+	0.0122607i
$575$	−1.52610	+	1.06859i	−0.0636427	+	0.0445631i
$576$	−0.362631	+	52.8575i	−0.0151096	+	2.20239i
$577$	−11.5585	−	5.38982i	−0.481187	−	0.224381i	0.166861	−	0.985980i	$-0.446637\pi$
$577$	−11.5585	−	5.38982i	−0.481187	−	0.224381i	−0.648048	+	0.761599i	$0.724415\pi$
$578$	23.2512	−	4.77328i	0.967124	−	0.198542i
$579$	−48.4574	−	33.9302i	−2.01382	−	1.41009i
$580$	−2.47766	−	10.5617i	−0.102879	−	0.438549i
$581$	−0.0113978	−	0.00658053i	−0.000472861	−	0.000273007i
$582$	−9.58692	−	6.32113i	−0.397391	−	0.262019i
$583$	7.19385	−	40.7984i	0.297939	−	1.68970i
$584$	−2.88700	−	34.3554i	−0.119465	−	1.42164i
$585$	18.3344	−	50.3734i	0.758034	−	2.08268i
$586$	4.51468	−	13.5725i	0.186500	−	0.560676i
$587$	−37.7869	+	17.6203i	−1.55963	+	0.727269i	−0.995168	−	0.0981876i	$-0.968695\pi$
$587$	−37.7869	+	17.6203i	−1.55963	+	0.727269i	−0.564466	+	0.825457i	$0.690918\pi$
$588$	38.7122	+	19.5530i	1.59647	+	0.806352i
$589$	−17.4996	−	20.8552i	−0.721058	−	0.859323i
$590$	−16.4483	−	26.7352i	−0.677168	−	1.10067i
$591$	39.3688			1.61941
$592$	8.51700	+	22.7917i	0.350047	+	0.936732i
$593$	−15.1121			−0.620581			−0.310291	−	0.950642i	$-0.600426\pi$
$593$	−15.1121			−0.620581			−0.310291	+	0.950642i	$0.600426\pi$
$594$	26.4148	+	42.9347i	1.08381	+	1.76163i
$595$	−0.0371268	−	0.0442459i	−0.00152205	−	0.00181391i
$596$	−31.4394	−	15.8796i	−1.28781	−	0.650453i
$597$	−15.7173	+	7.32909i	−0.643266	+	0.299960i
$598$	3.34174	−	10.0463i	0.136654	−	0.410824i
$599$	−3.41233	+	9.37531i	−0.139424	+	0.383065i	−0.989678	−	0.143308i	$-0.954226\pi$
$599$	−3.41233	+	9.37531i	−0.139424	+	0.383065i	0.850254	+	0.526373i	$0.176448\pi$
$600$	8.83091	−	0.742090i	0.360520	−	0.0302957i
$601$	−6.30534	+	35.7594i	−0.257200	+	1.45866i	0.533161	+	0.846014i	$0.321004\pi$
$601$	−6.30534	+	35.7594i	−0.257200	+	1.45866i	−0.790361	+	0.612641i	$0.790107\pi$
$602$	0.796279	+	0.525026i	0.0324539	+	0.0213985i
$603$	−30.8911	−	17.8350i	−1.25798	−	0.726296i
$604$	−6.40213	−	27.2907i	−0.260499	−	1.11044i
$605$	1.36951	+	0.958944i	0.0556786	+	0.0389866i
$606$	7.16615	−	1.47115i	0.291105	−	0.0597614i
$607$	−26.0705	−	12.1569i	−1.05817	−	0.493433i	−0.185957	−	0.982558i	$-0.559538\pi$
$607$	−26.0705	−	12.1569i	−1.05817	−	0.493433i	−0.872214	+	0.489125i	$0.837316\pi$
$608$	7.62893	−	14.9764i	0.309394	−	0.607371i
$609$	0.429033	−	0.300412i	0.0173853	−	0.0121733i
$610$	−34.7793	+	13.7709i	−1.40817	+	0.557568i
$611$	−18.1460	−	1.58757i	−0.734108	−	0.0642261i
$612$	−6.13893	−	0.192676i	−0.248151	−	0.00778846i
$613$	16.1406	−	5.87471i	0.651915	−	0.237277i	0.00517288	−	0.999987i	$-0.498353\pi$
$613$	16.1406	−	5.87471i	0.651915	−	0.237277i	0.646742	+	0.762709i	$0.276131\pi$
$614$	−0.747177	−	26.7300i	−0.0301536	−	1.07874i
$615$	−54.2244	−	14.5294i	−2.18654	−	0.585881i
$616$	0.398065	−	0.395343i	0.0160385	−	0.0159288i
$617$	4.03811	−	4.81243i	0.162568	−	0.193741i	−0.678611	−	0.734498i	$-0.737418\pi$
$617$	4.03811	−	4.81243i	0.162568	−	0.193741i	0.841179	+	0.540757i	$0.181862\pi$
$618$	4.91757	−	82.8003i	0.197814	−	3.33071i
$619$	14.0593	−	8.11713i	0.565090	−	0.326255i	−0.190096	−	0.981766i	$-0.560880\pi$
$619$	14.0593	−	8.11713i	0.565090	−	0.326255i	0.755186	+	0.655510i	$0.227546\pi$
$620$	26.6806	−	25.0567i	1.07152	−	1.00630i
$621$	19.9051	−	5.33355i	0.798763	−	0.214028i
$622$	4.32518	+	37.3749i	0.173424	+	1.49860i
$623$	0.424480	+	0.424480i	0.0170064	+	0.0170064i
$624$	−37.7750	+	33.3086i	−1.51221	+	1.33341i
$625$	3.28611	+	18.6364i	0.131444	+	0.745457i
$626$	−19.5281	−	8.45010i	−0.780500	−	0.337734i
$627$	−2.55879	−	29.2471i	−0.102188	−	1.16802i
$628$	−10.2149	+	13.6557i	−0.407619	+	0.544922i
$629$	−2.67176	+	0.924424i	−0.106530	+	0.0368592i
$630$	−0.519964	−	1.03829i	−0.0207159	−	0.0413665i
$631$	−0.394961	−	4.51442i	−0.0157231	−	0.179716i	−0.999995	−	0.00305775i	$-0.999027\pi$
$631$	−0.394961	−	4.51442i	−0.0157231	−	0.179716i	0.984272	−	0.176659i	$-0.0565289\pi$
$632$	−14.8415	+	8.50097i	−0.590361	+	0.338151i
$633$	28.9094	−	5.09751i	1.14905	−	0.202608i
$634$	−10.7901	−	8.55176i	−0.428529	−	0.339634i
$635$	−3.99949	−	3.99949i	−0.158715	−	0.158715i
$636$	44.1138	+	67.4070i	1.74923	+	2.67286i
$637$	7.35533	+	27.4505i	0.291429	+	1.08763i
$638$	3.49817	+	11.7335i	0.138494	+	0.464535i
$639$	29.3598	−	16.9509i	1.16146	−	0.670567i
$640$	20.6764	+	9.11588i	0.817305	+	0.360337i
$641$	−2.59120	−	2.17427i	−0.102346	−	0.0858786i	0.590179	−	0.807273i	$-0.299057\pi$
$641$	−2.59120	−	2.17427i	−0.102346	−	0.0858786i	−0.692525	+	0.721394i	$0.743502\pi$
$642$	6.17573	+	0.911825i	0.243736	+	0.0359869i
$643$	5.63610	+	1.51019i	0.222266	+	0.0595560i	0.368233	−	0.929733i	$-0.379963\pi$
$643$	5.63610	+	1.51019i	0.222266	+	0.0595560i	−0.145967	+	0.989289i	$0.546629\pi$
$644$	−0.108386	−	0.202119i	−0.00427099	−	0.00796460i
$645$	22.9510	+	63.0573i	0.903693	+	2.48288i
$646$	1.71793	+	0.928839i	0.0675912	+	0.0365447i
$647$	7.41683	+	0.648889i	0.291586	+	0.0255104i	0.232010	−	0.972713i	$-0.425470\pi$
$647$	7.41683	+	0.648889i	0.291586	+	0.0255104i	0.0595755	+	0.998224i	$0.481025\pi$
$648$	−40.4923	−	10.9989i	−1.59069	−	0.432077i
$649$	20.3205	+	29.0207i	0.797649	+	1.13916i
$650$	4.21928	+	3.98982i	0.165494	+	0.156494i
$651$	1.60155	+	0.746813i	0.0627695	+	0.0292699i
$652$	2.59507	+	3.29747i	0.101631	+	0.129139i
$653$	11.8115	−	16.8685i	0.462219	−	0.660117i	−0.518605	−	0.855014i	$-0.673548\pi$
$653$	11.8115	−	16.8685i	0.462219	−	0.660117i	0.980824	+	0.194897i	$0.0624374\pi$
$654$	−8.58578	+	36.0425i	−0.335730	+	1.40937i
$655$	10.3866	+	5.99673i	0.405839	+	0.234311i
$656$	26.2690	+	25.0116i	1.02563	+	0.976540i
$657$	79.3152	+	13.9854i	3.09438	+	0.545623i
$658$	−0.295059	+	0.261976i	−0.0115026	+	0.0102129i
$659$	15.1952	−	41.7484i	0.591921	−	1.62629i	−0.175016	−	0.984566i	$-0.555998\pi$
$659$	15.1952	−	41.7484i	0.591921	−	1.62629i	0.766937	−	0.641723i	$-0.221780\pi$
$660$	39.0675	−	5.63132i	1.52070	−	0.219199i
$661$	−17.8262	−	38.2283i	−0.693357	−	1.48691i	−0.865011	−	0.501752i	$-0.832689\pi$
$661$	−17.8262	−	38.2283i	−0.693357	−	1.48691i	0.171654	−	0.985157i	$-0.445089\pi$
$662$	21.5550	−	16.0088i	0.837759	−	0.622201i
$663$	−3.76155	−	4.48284i	−0.146087	−	0.174099i
$664$	−0.0541879	+	0.595824i	−0.00210290	+	0.0231224i
$665$			0.369231i			0.0143181i
$666$	−56.5588	+	5.63206i	−2.19161	+	0.218238i
$667$	5.00525			0.193804
$668$	−7.31046	−	4.53227i	−0.282850	−	0.175359i
$669$	−59.5042	+	49.9300i	−2.30057	+	1.93040i
$670$	−12.2417	+	9.09185i	−0.472937	+	0.351249i
$671$	38.2627	−	17.8422i	1.47712	−	0.688791i
$672$	−0.0379639	+	1.09029i	−0.00146449	+	0.0420590i
$673$	−35.5772	−	12.9490i	−1.37140	−	0.499148i	−0.451839	−	0.892099i	$-0.649232\pi$
$673$	−35.5772	−	12.9490i	−1.37140	−	0.499148i	−0.919559	+	0.392951i	$0.871454\pi$
$674$	−16.4494	−	18.5267i	−0.633608	−	0.713621i
$675$	−1.96266	+	11.1308i	−0.0755429	+	0.428425i
$676$	−6.95176	−	0.828663i	−0.267375	−	0.0318717i
$677$	18.2209	−	31.5594i	0.700284	−	1.21293i	−0.268082	−	0.963396i	$-0.586390\pi$
$677$	18.2209	−	31.5594i	0.700284	−	1.21293i	0.968367	−	0.249532i	$-0.0802768\pi$
$678$	−4.53485	+	19.0370i	−0.174160	+	0.731111i
$679$	−0.133519	−	0.0934912i	−0.00512400	−	0.00358786i
$680$	−1.11780	+	2.37582i	−0.0428656	+	0.0911084i
$681$	−15.7215	+	33.7148i	−0.602448	+	1.29195i
$682$	−28.3831	+	30.0155i	−1.08684	+	1.14935i
$683$	−5.55625	+	3.89053i	−0.212604	+	0.148867i	−0.675028	−	0.737792i	$-0.735869\pi$
$683$	−5.55625	+	3.89053i	−0.212604	+	0.148867i	0.462424	+	0.886659i	$0.346980\pi$
$684$	29.2707	+	26.1689i	1.11920	+	1.00059i
$685$	0.722698	−	8.26047i	0.0276129	−	0.315616i
$686$	1.08334	+	0.585734i	0.0413623	+	0.0223634i
$687$	−62.2155	+	22.6446i	−2.37367	+	0.863946i
$688$	6.48007	−	42.8709i	0.247050	−	1.63444i
$689$	−13.6624	+	50.9887i	−0.520495	+	1.94252i
$690$	2.35683	−	15.9627i	0.0897230	−	0.607688i
$691$	−9.95314	+	11.8617i	−0.378635	+	0.451240i	−0.921383	−	0.388656i	$-0.872940\pi$
$691$	−9.95314	+	11.8617i	−0.378635	+	0.451240i	0.542748	+	0.839896i	$0.317384\pi$
$692$	−18.2277	+	7.81326i	−0.692912	+	0.297016i
$693$	0.655293	+	1.13500i	0.0248925	+	0.0431151i
$694$	5.57759	+	18.7083i	0.211722	+	0.710156i
$695$	0.111813	−	0.0299601i	0.00424129	−	0.00113645i
$696$	−20.5783	−	11.9752i	−0.780017	−	0.453918i
$697$	−2.98019	+	2.98019i	−0.112883	+	0.112883i
$698$	−9.95780	+	12.5641i	−0.376908	+	0.475559i
$699$	−3.88670	−	22.0426i	−0.147009	−	0.833727i
$700$	0.125594	−	0.00702685i	0.00474700	−	0.000265590i
$701$	−17.4657	+	1.52805i	−0.659671	+	0.0577137i	−0.412075	−	0.911150i	$-0.635196\pi$
$701$	−17.4657	+	1.52805i	−0.659671	+	0.0577137i	−0.247596	+	0.968863i	$0.579640\pi$
$702$	−28.7617	−	57.4328i	−1.08554	−	2.16766i
$703$	16.8822	+	6.45156i	0.636724	+	0.243325i
$704$	−23.9050	−	8.88691i	−0.900955	−	0.334938i
$705$	−27.6550	+	2.41950i	−1.04155	+	0.0911236i
$706$	6.45220	−	14.9110i	0.242832	−	0.561182i
$707$	0.102262	−	0.0180316i	0.00384596	−	0.000678147i
$708$	−67.4361	−	14.0853i	−2.53440	−	0.529358i
$709$	12.3676	−	12.3676i	0.464476	−	0.464476i	−0.435643	−	0.900119i	$-0.643479\pi$
$709$	12.3676	−	12.3676i	0.464476	−	0.464476i	0.900119	+	0.435643i	$0.143479\pi$
$710$	−1.66605	−	14.3967i	−0.0625256	−	0.540298i
$711$	−10.3411	−	38.5935i	−0.387822	−	1.44737i
$712$	9.42129	−	25.6111i	0.353078	−	0.959816i
$713$	8.44371	+	14.6249i	0.316219	+	0.547708i
$714$	−0.126541	−	0.00751536i	−0.00473568	−	0.000281255i
$715$	19.8131	+	16.6251i	0.740967	+	0.621745i
$716$	−15.9351	−	48.4603i	−0.595523	−	1.81105i
$717$	11.6893	−	43.6251i	0.436545	−	1.62921i
$718$	−1.04940	−	37.5420i	−0.0391633	−	1.40106i
$719$	−10.6959	−	29.3866i	−0.398888	−	1.09594i	−0.962827	−	0.270120i	$-0.912937\pi$
$719$	−10.6959	−	29.3866i	−0.398888	−	1.09594i	0.563939	−	0.825817i	$-0.309285\pi$
$720$	−32.9294	+	41.2568i	−1.22721	+	1.53755i
$721$	0.102614	−	1.17288i	0.00382153	−	0.0436803i
$722$	5.29595	+	13.3753i	0.197095	+	0.497775i
$723$	47.2719	+	67.5113i	1.75806	+	2.51077i
$724$	2.75430	−	9.12400i	0.102363	−	0.339091i
$725$	−1.16019	+	2.48804i	−0.0430885	+	0.0924035i
$726$	3.59430	−	0.737879i	0.133397	−	0.0273853i
$727$	−14.9273	+	21.3184i	−0.553622	+	0.790654i	−0.994255	−	0.107033i	$-0.965865\pi$
$727$	−14.9273	+	21.3184i	−0.553622	+	0.790654i	0.440634	+	0.897687i	$0.354754\pi$
$728$	−0.549190	+	0.457624i	−0.0203543	+	0.0169607i
$729$	−2.97573	+	5.15412i	−0.110212	+	0.190893i
$730$	18.9523	−	28.7440i	0.701457	−	1.06386i
$731$	4.96145	+	0.874838i	0.183506	+	0.0323570i
$732$	−30.4848	+	76.2262i	−1.12675	+	2.81740i
$733$	−10.7213	−	3.90222i	−0.395999	−	0.144132i	0.136342	−	0.990662i	$-0.456465\pi$
$733$	−10.7213	−	3.90222i	−0.395999	−	0.144132i	−0.532341	+	0.846530i	$0.678688\pi$
$734$	8.08776	−	24.3143i	0.298525	−	0.897459i
$735$	18.3041	+	39.2532i	0.675156	+	1.44788i
$736$	−6.27352	+	8.32698i	−0.231245	+	0.306937i
$737$	13.1837	−	11.0625i	0.485630	−	0.407492i
$738$	−72.1682	+	44.4002i	−2.65655	+	1.63439i
$739$			45.7784i			1.68399i	0.539489	+	0.841993i	$0.318618\pi$
$739$			45.7784i			1.68399i	−0.539489	+	0.841993i	$0.681382\pi$
$740$	−7.39231	+	23.1462i	−0.271747	+	0.850872i
$741$			37.4092i			1.37426i
$742$	0.599184	+	0.973916i	0.0219967	+	0.0357536i
$743$	−20.0137	+	16.7935i	−0.734233	+	0.616094i	−0.931282	−	0.364299i	$-0.881309\pi$
$743$	−20.0137	+	16.7935i	−0.734233	+	0.616094i	0.197049	+	0.980394i	$0.436864\pi$
$744$	0.275549	−	80.3297i	0.0101021	−	2.94503i
$745$	−14.8653	−	31.8787i	−0.544623	−	1.16795i
$746$	−36.7480	−	12.2236i	−1.34544	−	0.447538i
$747$	−1.31333	−	0.478013i	−0.0480522	−	0.0174896i
$748$	1.10040	−	2.75151i	0.0402345	−	0.100605i
$749$	0.0872641	+	0.0153870i	0.00318856	+	0.000562229i
$750$	43.9345	+	28.9682i	1.60426	+	1.05777i
$751$	−18.5602	+	32.1471i	−0.677270	+	1.17307i	0.298530	+	0.954400i	$0.403504\pi$
$751$	−18.5602	+	32.1471i	−0.677270	+	1.17307i	−0.975800	+	0.218666i	$0.929830\pi$
$752$	16.4373	+	7.17970i	0.599406	+	0.261817i
$753$	−6.37084	+	9.09850i	−0.232166	+	0.331568i
$754$	−3.13737	−	15.2825i	−0.114256	−	0.556556i
$755$	11.8306	−	25.3707i	0.430558	−	0.923335i
$756$	−1.33202	−	0.402102i	−0.0484451	−	0.0146243i
$757$	−14.1407	−	20.1951i	−0.513954	−	0.734002i	0.475362	−	0.879790i	$-0.342317\pi$
$757$	−14.1407	−	20.1951i	−0.513954	−	0.734002i	−0.989316	+	0.145788i	$0.953428\pi$
$758$	−25.8104	+	10.2197i	−0.937476	+	0.371195i
$759$	−1.58722	+	18.1421i	−0.0576126	+	0.658515i
$760$	15.2363	−	7.04129i	0.552680	−	0.255414i
$761$	5.44520	+	14.9606i	0.197388	+	0.542320i	0.998413	−	0.0563111i	$-0.0179339\pi$
$761$	5.44520	+	14.9606i	0.197388	+	0.542320i	−0.801025	+	0.598631i	$0.795712\pi$
$762$	−12.4087	+	0.346857i	−0.449520	+	0.0125653i
$763$	−0.136116	+	0.507992i	−0.00492774	+	0.0183906i
$764$	7.95760	+	24.1999i	0.287896	+	0.875521i
$765$	−4.69862	−	3.94261i	−0.169879	−	0.142545i
$766$	0.455392	−	7.66772i	0.0164540	−	0.277046i
$767$	−22.5710	−	39.0942i	−0.814993	−	1.41161i
$768$	45.7150	−	19.2255i	1.64960	−	0.693740i
$769$	−1.55668	−	5.80961i	−0.0561353	−	0.209500i	0.932162	−	0.362043i	$-0.117921\pi$
$769$	−1.55668	−	5.80961i	−0.0561353	−	0.209500i	−0.988297	+	0.152543i	$0.951254\pi$
$770$	0.556552	−	0.0644066i	0.0200567	−	0.00232105i
$771$	−11.3973	+	11.3973i	−0.410465	+	0.410465i
$772$	−7.80414	+	37.3638i	−0.280877	+	1.34475i
$773$	23.6367	−	4.16778i	0.850152	−	0.149905i	0.268437	−	0.963297i	$-0.413493\pi$
$773$	23.6367	−	4.16778i	0.850152	−	0.149905i	0.581715	+	0.813393i	$0.302382\pi$
$774$	92.9565	+	40.2236i	3.34125	+	1.44581i
$775$	−9.22706	+	0.807263i	−0.331446	+	0.0289977i
$776$	−1.31169	+	7.29257i	−0.0470868	+	0.261788i
$777$	−1.17011	+	0.0835779i	−0.0419775	+	0.00299834i
$778$	−5.11029	+	2.55917i	−0.183213	+	0.0917507i
$779$	26.8399	−	2.34819i	0.961640	−	0.0841326i
$780$	−50.2159	+	2.80954i	−1.79802	+	0.100598i
$781$	2.84037	+	16.1086i	0.101637	+	0.576410i
$782$	−0.949400	−	0.752454i	−0.0339505	−	0.0269077i
$783$	21.4718	−	21.4718i	0.767340	−	0.767340i
$784$	1.75491	−	27.9294i	0.0626754	−	0.997480i
$785$	−16.4501	+	4.40778i	−0.587128	+	0.157321i
$786$	25.2249	−	7.52043i	0.899743	−	0.268245i
$787$	−14.3858	−	24.9169i	−0.512798	−	0.888191i	−0.999890	−	0.0148409i	$-0.995276\pi$
$787$	−14.3858	−	24.9169i	−0.512798	−	0.888191i	0.487092	−	0.873350i	$-0.338058\pi$
$788$	−10.0081	−	23.3481i	−0.356525	−	0.831743i
$789$	19.8917	−	23.7061i	0.708165	−	0.843958i
$790$	−16.8973	−	2.49482i	−0.601178	−	0.0887618i
$791$	−0.0718940	+	0.268312i	−0.00255626	+	0.00954008i
$792$	34.3394	−	48.6854i	1.22020	−	1.72996i
$793$	−50.5504	+	18.3989i	−1.79510	+	0.653362i
$794$	14.6583	−	27.1112i	0.520203	−	0.962141i
$795$	−7.01164	+	80.1434i	−0.248677	+	2.84239i
$796$	8.34218	+	7.45817i	0.295681	+	0.264348i
$797$	−6.59440	+	4.61745i	−0.233586	+	0.163558i	−0.684509	−	0.729004i	$-0.739984\pi$
$797$	−6.59440	+	4.61745i	−0.233586	+	0.163558i	0.450924	+	0.892562i	$0.351095\pi$
$798$	0.588793	+	0.556771i	0.0208430	+	0.0197095i
$799$	−0.880817	+	1.88892i	−0.0311611	+	0.0668251i
$800$	−2.68506	−	5.04863i	−0.0949311	−	0.178496i
$801$	52.2196	+	36.5646i	1.84509	+	1.29195i
$802$	−5.64355	−	1.34436i	−0.199281	−	0.0474711i
$803$	−19.4293	+	33.6526i	−0.685646	+	1.18757i
$804$	−3.96120	+	33.2310i	−0.139701	+	1.17197i
$805$	0.0397714	−	0.225555i	0.00140176	−	0.00794977i
$806$	39.3616	−	34.9482i	1.38645	−	1.23100i
$807$	69.3741	+	25.2501i	2.44208	+	0.888846i
$808$	−2.69423	−	3.87599i	−0.0947827	−	0.136357i
$809$	2.17820	−	1.01571i	0.0765816	−	0.0357106i	−0.383950	−	0.923354i	$-0.625437\pi$
$809$	2.17820	−	1.01571i	0.0765816	−	0.0357106i	0.460532	+	0.887643i	$0.347659\pi$
$810$	−24.9840	−	33.6396i	−0.877849	−	1.18197i
$811$	−2.96410	+	2.48718i	−0.104084	+	0.0873365i	−0.693344	−	0.720606i	$-0.743864\pi$
$811$	−2.96410	+	2.48718i	−0.104084	+	0.0873365i	0.589261	+	0.807943i	$0.299419\pi$
$812$	−0.287230	−	0.178074i	−0.0100798	−	0.00624917i
$813$	11.8474			0.415507
$814$	6.77978	−	26.5724i	0.237631	−	0.931361i
$815$			4.19046i			0.146785i
$816$	2.10304	+	5.36504i	0.0736210	+	0.187814i
$817$	−20.7016	−	24.6712i	−0.724256	−	0.863134i
$818$	6.10351	+	8.21804i	0.213404	+	0.287337i
$819$	−0.705753	−	1.51349i	−0.0246610	−	0.0528857i
$820$	5.16783	+	35.8520i	0.180469	+	1.25201i
$821$	7.97326	−	21.9064i	0.278269	−	0.764537i	−0.719290	−	0.694710i	$-0.755533\pi$
$821$	7.97326	−	21.9064i	0.278269	−	0.764537i	0.997559	−	0.0698275i	$-0.0222449\pi$
$822$	−12.0828	−	13.6086i	−0.421435	−	0.474655i
$823$	0.537704	+	0.0948118i	0.0187432	+	0.00330493i	0.183012	−	0.983111i	$-0.441415\pi$
$823$	0.537704	+	0.0948118i	0.0187432	+	0.00330493i	−0.164269	+	0.986416i	$0.552526\pi$
$824$	−50.3558	+	18.1327i	−1.75423	+	0.631681i
$825$	−8.65025	−	4.99422i	−0.301163	−	0.173877i
$826$	−0.951246	−	0.226598i	−0.0330981	−	0.00788437i
$827$	−3.31365	+	4.73239i	−0.115227	+	0.164561i	−0.872623	−	0.488395i	$-0.837583\pi$
$827$	−3.31365	+	4.73239i	−0.115227	+	0.164561i	0.757396	+	0.652956i	$0.226471\pi$
$828$	−15.0621	−	19.1389i	−0.523444	−	0.665123i
$829$	26.0277	+	12.1369i	0.903980	+	0.421533i	0.818301	−	0.574790i	$-0.194916\pi$
$829$	26.0277	+	12.1369i	0.903980	+	0.421533i	0.0856787	+	0.996323i	$0.472694\pi$
$830$	−0.410506	+	0.434115i	−0.0142489	+	0.0150684i
$831$	39.2153	+	56.0052i	1.36036	+	1.94280i
$832$	29.3570	+	13.9354i	1.01777	+	0.483123i
$833$	3.23930	+	0.283402i	0.112235	+	0.00981931i
$834$	0.120829	−	0.223479i	0.00418396	−	0.00773845i
$835$	−2.93786	−	8.07171i	−0.101669	−	0.279333i
$836$	−16.6949	+	8.95259i	−0.577405	+	0.309632i
$837$	98.9611	+	26.5166i	3.42060	+	0.916546i
$838$	1.07540	−	7.28364i	0.0371492	−	0.251609i
$839$	31.2041	+	26.1834i	1.07729	+	0.903950i	0.995693	−	0.0927157i	$-0.0295548\pi$
$839$	31.2041	+	26.1834i	1.07729	+	0.903950i	0.0815931	+	0.996666i	$0.473999\pi$
$840$	−0.703158	+	0.832177i	−0.0242613	+	0.0287129i
$841$	−18.7274	+	10.8123i	−0.645772	+	0.372837i
$842$	−27.6413	+	8.24082i	−0.952580	+	0.283997i
$843$	0.264511	+	0.987169i	0.00911025	+	0.0339999i
$844$	−10.3724	−	15.8492i	−0.357031	−	0.545553i
$845$	−4.94372	−	4.94372i	−0.170069	−	0.170069i
$846$	−26.0263	+	32.8384i	−0.894804	+	1.12901i
$847$	0.0512912	−	0.00904402i	0.00176239	−	0.000310756i
$848$	28.7622	−	43.2981i	0.987697	−	1.48686i
$849$	−7.02051	−	80.2448i	−0.240943	−	2.75399i
$850$	0.594100	−	0.297518i	0.0203775	−	0.0102048i
$851$	−9.61804	−	5.75957i	−0.329702	−	0.197436i
$852$	−25.4699	−	19.0523i	−0.872585	−	0.652722i
$853$	−1.70264	−	19.4613i	−0.0582974	−	0.666343i	−0.967978	−	0.251034i	$-0.919229\pi$
$853$	−1.70264	−	19.4613i	−0.0582974	−	0.666343i	0.909681	−	0.415308i	$-0.136326\pi$
$854$	−0.462772	+	1.06946i	−0.0158357	+	0.0365963i
$855$	6.80871	+	38.6141i	0.232853	+	1.32058i
$856$	−1.02919	−	3.89439i	−0.0351771	−	0.133108i
$857$	−6.20071	−	6.20071i	−0.211812	−	0.211812i	0.593225	−	0.805037i	$-0.297855\pi$
$857$	−6.20071	−	6.20071i	−0.211812	−	0.211812i	−0.805037	+	0.593225i	$0.797855\pi$
$858$	56.3879	−	6.52545i	1.92505	−	0.222775i
$859$	32.6122	−	8.73840i	1.11271	−	0.298150i	0.344782	−	0.938683i	$-0.387953\pi$
$859$	32.6122	−	8.73840i	1.11271	−	0.298150i	0.767931	+	0.640532i	$0.221286\pi$
$860$	31.5624	−	29.6415i	1.07627	−	1.01077i
$861$	−1.51451	+	0.874401i	−0.0516142	+	0.0297995i
$862$	42.2399	+	2.50866i	1.43870	+	0.0854452i
$863$	−5.73261	+	6.83185i	−0.195140	+	0.232559i	−0.854738	−	0.519060i	$-0.826282\pi$
$863$	−5.73261	+	6.83185i	−0.195140	+	0.232559i	0.659598	+	0.751619i	$0.270727\pi$
$864$	8.80907	+	62.6340i	0.299691	+	2.13085i
$865$	−19.1299	−	5.12585i	−0.650437	−	0.174284i
$866$	−16.5222	+	0.461840i	−0.561448	+	0.0156940i
$867$	48.8857	−	17.7930i	1.66025	−	0.604281i
$868$	0.0357695	−	1.13967i	0.00121410	−	0.0386828i
$869$	19.2043	+	1.68016i	0.651460	+	0.0569954i
$870$	−8.75324	−	22.1068i	−0.296762	−	0.749492i
$871$	−17.9634	+	12.5781i	−0.608666	+	0.426193i
$872$	23.5581	−	4.07066i	0.797778	−	0.137850i
$873$	−15.6874	−	7.31517i	−0.530939	−	0.247581i
$874$	1.55733	+	7.58595i	0.0526775	+	0.256599i
$875$	0.611886	+	0.428447i	0.0206855	+	0.0144841i
$876$	−17.2579	−	73.5660i	−0.583090	−	2.48556i
$877$	14.1170	+	8.15046i	0.476698	+	0.275222i	0.719039	−	0.694969i	$-0.244582\pi$
$877$	14.1170	+	8.15046i	0.476698	+	0.275222i	−0.242341	+	0.970191i	$0.577915\pi$
$878$	−0.498056	+	0.755375i	−0.0168086	+	0.0254927i
$879$	5.44384	−	30.8736i	0.183616	−	1.04134i
$880$	−13.2713	−	21.7379i	−0.447375	−	0.732785i
$881$	−0.778973	+	2.14021i	−0.0262443	+	0.0721055i	−0.952123	−	0.305716i	$-0.901104\pi$
$881$	−0.778973	+	2.14021i	−0.0262443	+	0.0721055i	0.925879	+	0.377821i	$0.123327\pi$
$882$	62.0314	+	20.6337i	2.08871	+	0.694774i
$883$	−10.7925	+	5.03264i	−0.363198	+	0.169362i	−0.595646	−	0.803247i	$-0.703104\pi$
$883$	−10.7925	+	5.03264i	−0.363198	+	0.169362i	0.232449	+	0.972609i	$0.425326\pi$
$884$	−1.70236	+	3.37044i	−0.0572567	+	0.113360i
$885$	−44.2224	−	52.7022i	−1.48652	−	1.77157i
$886$	−15.4887	+	9.52913i	−0.520353	+	0.320138i
$887$	28.0500			0.941826			0.470913	−	0.882180i	$-0.343925\pi$
$887$	28.0500			0.941826			0.470913	+	0.882180i	$0.343925\pi$
$888$	25.7631	+	46.6909i	0.864552	+	1.56684i
$889$	−0.176201			−0.00590960
$890$	23.2109	−	14.2801i	0.778032	−	0.478670i
$891$	30.3992	+	36.2284i	1.01841	+	1.21370i
$892$	44.7385	+	22.5968i	1.49795	+	0.756596i
$893$	12.0751	−	5.63072i	0.404078	−	0.188425i
$894$	−73.2511	−	24.3658i	−2.44988	−	0.814913i
$895$	17.4238	−	47.8715i	0.582414	−	1.60017i
$896$	0.656263	−	0.254654i	0.0219242	−	0.00850739i
$897$	4.02950	−	22.8524i	0.134541	−	0.763021i
$898$	28.1647	−	42.7159i	0.939868	−	1.42545i
$899$	21.5505	+	12.4422i	0.718750	+	0.414971i
$900$	13.0050	−	3.05085i	0.433500	−	0.101695i
$901$	4.94762	+	3.46436i	0.164829	+	0.115415i
$902$	−8.22130	−	40.0470i	−0.273740	−	1.33342i
$903$	1.89459	+	0.883460i	0.0630479	+	0.0293997i
$904$	12.4429	−	2.15004i	0.413846	−	0.0715094i
$905$	7.79646	−	5.45914i	0.259163	−	0.181468i
$906$	−22.6178	−	57.1227i	−0.751426	−	1.89777i
$907$	45.9955	+	4.02409i	1.52726	+	0.133618i	0.819599	−	0.572938i	$-0.194196\pi$
$907$	45.9955	+	4.02409i	1.52726	+	0.133618i	0.707658	+	0.706555i	$0.249752\pi$
$908$	23.9916	+	0.753000i	0.796190	+	0.0249892i
$909$	10.3621	−	3.77148i	0.343688	−	0.125092i
$910$	−0.713614	+	0.0199474i	−0.0236561	+	0.000661251i
$911$	−0.621059	−	0.166412i	−0.0205766	−	0.00551349i	0.248516	−	0.968628i	$-0.420057\pi$
$911$	−0.621059	−	0.166412i	−0.0205766	−	0.00551349i	−0.269093	+	0.963114i	$0.586724\pi$
$912$	11.7468	−	34.9143i	0.388976	−	1.15613i
$913$	0.433449	−	0.516565i	0.0143451	−	0.0170958i
$914$	−19.5048	−	1.15841i	−0.645163	−	0.0383167i
$915$	−71.0008	+	40.9923i	−2.34721	+	1.35516i
$916$	29.2458	+	31.1411i	0.966308	+	1.02893i
$917$	0.360892	−	0.0967008i	0.0119177	−	0.00319334i
$918$	−7.30070	+	0.844869i	−0.240959	+	0.0278848i
$919$	21.6990	+	21.6990i	0.715784	+	0.715784i	0.967739	−	0.251955i	$-0.0810734\pi$
$919$	21.6990	+	21.6990i	0.715784	+	0.715784i	−0.251955	+	0.967739i	$0.581073\pi$
$920$	−10.0660	+	2.66020i	−0.331866	+	0.0877042i
$921$	−10.1771	−	57.7175i	−0.335348	−	1.90186i
$922$	−15.5978	+	36.0464i	−0.513687	+	1.18713i
$923$	−1.81652	−	20.7629i	−0.0597915	−	0.683420i
$924$	0.736531	−	0.984624i	0.0242301	−	0.0323918i
$925$	5.09242	−	3.44595i	0.167438	−	0.113302i
$926$	4.35732	−	2.18209i	0.143190	−	0.0717080i
$927$	−10.8969	−	124.552i	−0.357901	−	4.09082i
$928$	−1.87072	+	15.2485i	−0.0614093	+	0.500555i
$929$	25.1605	−	4.43648i	0.825490	−	0.145556i	0.255084	−	0.966919i	$-0.417897\pi$
$929$	25.1605	−	4.43648i	0.825490	−	0.145556i	0.570406	+	0.821363i	$0.306786\pi$
$930$	49.8279	−	62.8698i	1.63392	−	2.06158i
$931$	−14.6984	−	14.6984i	−0.481721	−	0.481721i
$932$	−12.0846	+	7.90861i	−0.395843	+	0.259055i
$933$	21.3428	+	79.6524i	0.698732	+	2.60770i
$934$	19.5402	−	5.82560i	0.639374	−	0.190620i
$935$	2.56289	−	1.47969i	0.0838155	−	0.0483909i
$936$	−48.9956	+	57.9855i	−1.60147	+	1.89532i
$937$	−0.193928	−	0.162725i	−0.00633536	−	0.00531600i	0.639614	−	0.768696i	$-0.279094\pi$
$937$	−0.193928	−	0.162725i	−0.00633536	−	0.00531600i	−0.645950	+	0.763380i	$0.723538\pi$
$938$	−0.0693842	+	0.469934i	−0.00226547	+	0.0153439i
$939$	−45.0464	−	12.0701i	−1.47003	−	0.393894i
$940$	8.46523	+	15.7861i	0.276105	+	0.514885i
$941$	18.7014	+	51.3818i	0.609649	+	1.67500i	0.730991	+	0.682387i	$0.239058\pi$
$941$	18.7014	+	51.3818i	0.609649	+	1.67500i	−0.121341	+	0.992611i	$0.538720\pi$
$942$	−17.7766	+	32.8787i	−0.579192	+	1.07125i
$943$	−16.6489	−	1.45659i	−0.542162	−	0.0474330i
$944$	8.78981	+	43.5745i	0.286084	+	1.41823i
$945$	−0.796984	−	1.13821i	−0.0259259	−	0.0370260i
$946$	−33.5765	+	35.5075i	−1.09166	+	1.15445i
$947$	20.4447	+	9.53351i	0.664363	+	0.309797i	0.725389	−	0.688339i	$-0.241660\pi$
$947$	20.4447	+	9.53351i	0.664363	+	0.309797i	−0.0610266	+	0.998136i	$0.519437\pi$
$948$	−29.4581	+	23.1832i	−0.956756	+	0.752955i
$949$	28.4000	−	40.5594i	0.921903	−	1.31661i
$950$	−4.13185	−	0.984258i	−0.134055	−	0.0319335i
$951$	−26.1330	−	15.0879i	−0.847420	−	0.489258i
$952$	0.0277116	+	0.0769572i	0.000898137	+	0.00249420i
$953$	−27.0099	−	4.76257i	−0.874937	−	0.154275i	−0.281894	−	0.959446i	$-0.590962\pi$
$953$	−27.0099	−	4.76257i	−0.874937	−	0.154275i	−0.593043	+	0.805171i	$0.702074\pi$
$954$	80.6219	+	90.8030i	2.61023	+	2.93986i
$955$	−8.70102	+	23.9059i	−0.281558	+	0.773575i
$956$	−28.8440	+	4.15767i	−0.932881	+	0.134469i
$957$	11.3411	+	24.3210i	0.366605	+	0.786187i
$958$	−6.02055	−	8.10633i	−0.194515	−	0.261904i
$959$	−0.166042	−	0.197881i	−0.00536177	−	0.00638991i
$960$	47.7492	+	13.1461i	1.54110	+	0.424289i
$961$			52.9585i			1.70834i
$962$	−11.5569	+	32.9769i	−0.372610	+	1.06322i
$963$	9.40981			0.303227
$964$	28.0212	−	45.1976i	0.902501	−	1.45572i
$965$	−29.2003	+	24.5020i	−0.939992	+	0.788747i
$966$	−0.299709	−	0.403541i	−0.00964297	−	0.0129837i
$967$	−24.6633	+	11.5007i	−0.793118	+	0.369837i	−0.776574	−	0.630026i	$-0.783044\pi$
$967$	−24.6633	+	11.5007i	−0.793118	+	0.369837i	−0.0165438	+	0.999863i	$0.505266\pi$
$968$	−1.35133	−	1.94406i	−0.0434335	−	0.0624846i
$969$	4.02221	+	1.46397i	0.129212	+	0.0470294i
$970$	−5.53326	+	4.91286i	−0.177662	+	0.157742i
$971$	−8.44845	+	47.9136i	−0.271124	+	1.53762i	0.479888	+	0.877330i	$0.340677\pi$
$971$	−8.44845	+	47.9136i	−0.271124	+	1.53762i	−0.751011	+	0.660289i	$0.770434\pi$
$972$	−24.7017	−	2.94448i	−0.792306	−	0.0944444i
$973$	0.00180304	−	0.00312296i	5.78029e−5	−	0.000100118i
$974$	−19.6685	−	4.68528i	−0.630220	−	0.150126i
$975$	10.4256	+	7.30009i	0.333887	+	0.233790i
$976$	52.9566	−	1.29850i	1.69510	−	0.0415640i
$977$	19.8774	−	42.6272i	0.635934	−	1.36377i	−0.279050	−	0.960277i	$-0.590020\pi$
$977$	19.8774	−	42.6272i	0.635934	−	1.36377i	0.914984	−	0.403489i	$-0.132203\pi$
$978$	6.68231	+	6.31889i	0.213677	+	0.202056i
$979$	−25.1951	+	17.6418i	−0.805239	+	0.563835i
$980$	18.6264	−	20.8342i	0.595000	−	0.665525i
$981$	−4.86751	+	55.6358i	−0.155408	+	1.77632i
$982$	19.2906	−	35.6789i	0.615587	−	1.13856i
$983$	−3.26766	+	1.18933i	−0.104222	+	0.0379338i	−0.393605	−	0.919280i	$-0.628772\pi$
$983$	−3.26766	+	1.18933i	−0.104222	+	0.0379338i	0.289383	+	0.957213i	$0.406550\pi$
$984$	64.9641	+	45.8213i	2.07098	+	1.46073i
$985$	6.56578	−	24.5038i	0.209203	−	0.780757i
$986$	−1.76594	−	0.260736i	−0.0562391	−	0.00830351i
$987$	−0.555887	+	0.662480i	−0.0176941	+	0.0210870i
$988$	22.1860	−	9.50997i	0.705829	−	0.302553i
$989$	9.98869	+	17.3009i	0.317622	+	0.550137i
$990$	57.0165	−	16.9986i	1.81210	−	0.540251i
$991$	5.02406	−	1.34619i	0.159594	−	0.0427632i	−0.178137	−	0.984006i	$-0.557007\pi$
$991$	5.02406	−	1.34619i	0.159594	−	0.0427632i	0.337732	+	0.941242i	$0.390340\pi$
$992$	−47.7106	+	20.2576i	−1.51481	+	0.643180i
$993$	41.6111	−	41.6111i	1.32049	−	1.32049i
$994$	−0.353829	−	0.280430i	−0.0112228	−	0.00889470i
$995$	1.94049	+	11.0050i	0.0615176	+	0.348883i
$996$	0.0732500	+	1.30923i	0.00232101	+	0.0414844i
$997$	−47.4162	+	4.14838i	−1.50169	+	0.131381i	−0.808123	−	0.589014i	$-0.799516\pi$
$997$	−47.4162	+	4.14838i	−1.50169	+	0.131381i	−0.693564	+	0.720395i	$0.743961\pi$
$998$	−43.4572	+	21.7629i	−1.37561	+	0.688891i
$999$	−65.9677	+	16.5523i	−2.08713	+	0.523690i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	296.2.bj.a.19.11	✓	432
8.3	odd	2	inner	296.2.bj.a.19.15	yes	432
37.2	odd	36	inner	296.2.bj.a.187.15	yes	432
296.187	even	36	inner	296.2.bj.a.187.11	yes	432

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
296.2.bj.a.19.11	✓	432	1.1	even	1	trivial
296.2.bj.a.19.15	yes	432	8.3	odd	2	inner
296.2.bj.a.187.11	yes	432	296.187	even	36	inner
296.2.bj.a.187.15	yes	432	37.2	odd	36	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

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

\(f(q)\)	\(=\)	\(q+(-0.741052 - 1.20451i) q^{2} +(-1.99237 - 2.37441i) q^{3} +(-0.901683 + 1.78521i) q^{4} +(-1.81016 + 0.844089i) q^{5} +(-1.38355 + 4.15938i) q^{6} +(-0.0212805 + 0.0584676i) q^{7} +(2.81849 - 0.236847i) q^{8} +(-1.14735 + 6.50696i) q^{9} +(2.35813 + 1.55483i) q^{10} +(-2.76083 - 1.59397i) q^{11} +(6.03530 - 1.41582i) q^{12} +(3.32746 + 2.32991i) q^{13} +(0.0861947 - 0.0176950i) q^{14} +(5.61071 + 2.61631i) q^{15} +(-2.37394 - 3.21938i) q^{16} +(0.380728 - 0.266588i) q^{17} +(8.68794 - 3.44000i) q^{18} +(-2.95987 - 0.258955i) q^{19} +(0.125312 - 3.99261i) q^{20} +(0.181225 - 0.0659603i) q^{21} +(0.125973 + 4.50666i) q^{22} +(1.78023 + 0.477010i) q^{23} +(-6.17784 - 6.22037i) q^{24} +(-0.649762 + 0.774356i) q^{25} +(0.340579 - 5.73454i) q^{26} +(9.68321 - 5.59060i) q^{27} +(-0.0851886 - 0.0907093i) q^{28} +(2.62324 - 0.702896i) q^{29} +(-1.00645 - 8.69697i) q^{30} +(6.47914 + 6.47914i) q^{31} +(-2.11857 + 5.24516i) q^{32} +(1.71586 + 9.73111i) q^{33} +(-0.603247 - 0.261034i) q^{34} +(-0.0108309 - 0.123798i) q^{35} +(-10.5817 - 7.91548i) q^{36} +(-5.84962 - 1.66790i) q^{37} +(1.88150 + 3.75708i) q^{38} +(-1.09735 - 12.5428i) q^{39} +(-4.90199 + 2.80779i) q^{40} +(-8.93019 + 1.57463i) q^{41} +(-0.213747 - 0.169407i) q^{42} +(7.66465 + 7.66465i) q^{43} +(5.33496 - 3.49141i) q^{44} +(-3.41557 - 12.7471i) q^{45} +(-0.744677 - 2.49779i) q^{46} +(-3.88346 + 2.24211i) q^{47} +(-2.91439 + 12.0509i) q^{48} +(5.35935 + 4.49702i) q^{49} +(1.41423 + 0.208806i) q^{50} +(-1.39154 - 0.372862i) q^{51} +(-7.15969 + 3.83937i) q^{52} +(4.44461 + 12.2115i) q^{53} +(-13.9097 - 7.52058i) q^{54} +(6.34299 + 0.554940i) q^{55} +(-0.0461310 + 0.169831i) q^{56} +(5.28227 + 7.54387i) q^{57} +(-2.79061 - 2.63884i) q^{58} +(-10.0718 - 4.69658i) q^{59} +(-9.72974 + 7.65719i) q^{60} +(-7.59595 + 10.8481i) q^{61} +(3.00280 - 12.6056i) q^{62} +(-0.356030 - 0.205554i) q^{63} +(7.88781 - 1.33510i) q^{64} +(-7.98988 - 1.40883i) q^{65} +(10.4497 - 9.27803i) q^{66} +(-1.84641 + 5.07296i) q^{67} +(0.132620 + 0.920056i) q^{68} +(-2.41424 - 5.17736i) q^{69} +(-0.141090 + 0.104787i) q^{70} +(-3.29810 - 3.93052i) q^{71} +(-1.69265 + 18.6116i) q^{72} -12.1893i q^{73} +(2.32587 + 8.28193i) q^{74} +3.13320 q^{75} +(3.13115 - 5.05048i) q^{76} +(0.151947 - 0.127499i) q^{77} +(-14.2947 + 10.6166i) q^{78} +(-5.48050 + 2.55560i) q^{79} +(7.01464 + 3.82377i) q^{80} +(-13.9403 - 5.07384i) q^{81} +(8.51440 + 9.58961i) q^{82} +(-0.0367309 + 0.208311i) q^{83} +(-0.0456542 + 0.382999i) q^{84} +(-0.464152 + 0.803934i) q^{85} +(3.55223 - 14.9121i) q^{86} +(-6.89543 - 4.82823i) q^{87} +(-8.15891 - 3.83869i) q^{88} +(4.07747 - 8.74416i) q^{89} +(-12.8229 + 13.5603i) q^{90} +(-0.207034 + 0.144967i) q^{91} +(-2.45676 + 2.74796i) q^{92} +(2.47531 - 28.2929i) q^{93} +(5.57849 + 3.01613i) q^{94} +(5.57640 - 2.02964i) q^{95} +(16.6751 - 5.41993i) q^{96} +(-0.678025 + 2.53042i) q^{97} +(1.44515 - 9.78791i) q^{98} +(13.5395 - 16.1358i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 432 q - 12 q^{2} - 24 q^{3} - 18 q^{4} - 12 q^{6} - 6 q^{8} - 24 q^{9} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{14} + 18 q^{16} - 24 q^{17} - 42 q^{18} - 24 q^{19} - 12 q^{20} - 24 q^{22} - 84 q^{24}+ \cdots - 132 q^{99}+O(q^{100}) \) 432 * q - 12 * q^2 - 24 * q^3 - 18 * q^4 - 12 * q^6 - 6 * q^8 - 24 * q^9 - 6 * q^10 - 36 * q^11 - 12 * q^12 - 12 * q^14 + 18 * q^16 - 24 * q^17 - 42 * q^18 - 24 * q^19 - 12 * q^20 - 24 * q^22 - 84 * q^24 - 12 * q^25 - 6 * q^26 - 36 * q^27 - 12 * q^28 - 36 * q^30 - 42 * q^32 - 60 * q^33 - 12 * q^34 - 24 * q^35 + 60 * q^38 - 12 * q^40 - 24 * q^41 - 12 * q^42 - 6 * q^44 + 48 * q^46 - 18 * q^48 + 24 * q^49 - 42 * q^50 + 96 * q^51 - 42 * q^52 - 72 * q^54 - 12 * q^56 - 24 * q^57 + 48 * q^58 - 24 * q^59 + 144 * q^60 - 72 * q^62 + 108 * q^64 - 84 * q^65 - 168 * q^66 - 24 * q^67 - 18 * q^68 - 186 * q^70 + 234 * q^72 - 150 * q^74 - 48 * q^75 + 42 * q^76 - 222 * q^78 + 120 * q^80 - 60 * q^81 - 24 * q^82 - 24 * q^83 + 126 * q^84 - 54 * q^86 - 24 * q^89 + 72 * q^90 - 24 * q^91 + 114 * q^92 - 24 * q^94 + 72 * q^96 - 24 * q^97 - 114 * q^98 - 132 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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