LMFDB - Embedded newform 276.2.o.a.71.22

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [276,2,Mod(35,276)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(276, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 11, 20]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("276.35");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 276 = 2^{2} \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	276.o (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$2.20387109579$
Analytic rank:	$0$
Dimension:	$440$
Relative dimension:	$44$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			71.22
Character	$\chi$	$=$	276.71
Dual form			276.2.o.a.35.22

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.0782940 - 1.41204i) q^{2} +(0.746168 + 1.56308i) q^{3} +(-1.98774 + 0.221109i) q^{4} +(-0.241048 + 0.820935i) q^{5} +(2.14872 - 1.17600i) q^{6} +(2.26976 + 1.96676i) q^{7} +(0.467844 + 2.78947i) q^{8} +(-1.88647 + 2.33265i) q^{9} +O(q^{10})$	\(q+(-0.0782940 - 1.41204i) q^{2} +(0.746168 + 1.56308i) q^{3} +(-1.98774 + 0.221109i) q^{4} +(-0.241048 + 0.820935i) q^{5} +(2.14872 - 1.17600i) q^{6} +(2.26976 + 1.96676i) q^{7} +(0.467844 + 2.78947i) q^{8} +(-1.88647 + 2.33265i) q^{9} +(1.17807 + 0.276097i) q^{10} +(-5.20266 + 3.34354i) q^{11} +(-1.82880 - 2.94202i) q^{12} +(-0.429564 - 0.495744i) q^{13} +(2.59944 - 3.35899i) q^{14} +(-1.46305 + 0.235777i) q^{15} +(3.90222 - 0.879016i) q^{16} +(0.947379 + 0.432654i) q^{17} +(3.44150 + 2.48114i) q^{18} +(6.17497 - 2.82001i) q^{19} +(0.297625 - 1.68510i) q^{20} +(-1.38059 + 5.01536i) q^{21} +(5.12857 + 7.08460i) q^{22} +(0.944431 - 4.70192i) q^{23} +(-4.01108 + 2.81269i) q^{24} +(3.59044 + 2.30743i) q^{25} +(-0.666380 + 0.645378i) q^{26} +(-5.05375 - 1.20816i) q^{27} +(-4.94656 - 3.40754i) q^{28} +(8.05217 + 3.67730i) q^{29} +(0.447476 + 2.04744i) q^{30} +(-3.76043 - 0.540668i) q^{31} +(-1.54673 - 5.44129i) q^{32} +(-9.10830 - 5.63734i) q^{33} +(0.536752 - 1.37162i) q^{34} +(-2.16170 + 1.38924i) q^{35} +(3.23403 - 5.05381i) q^{36} +(-2.27837 + 0.668989i) q^{37} +(-4.46545 - 8.49854i) q^{38} +(0.454362 - 1.04135i) q^{39} +(-2.40274 - 0.288326i) q^{40} +(1.65224 - 5.62701i) q^{41} +(7.19000 + 1.55678i) q^{42} +(-5.95026 + 0.855518i) q^{43} +(9.60224 - 7.79645i) q^{44} +(-1.46022 - 2.11095i) q^{45} +(-6.71326 - 0.965447i) q^{46} +3.35489 q^{47} +(4.28569 + 5.44361i) q^{48} +(0.287469 + 1.99939i) q^{49} +(2.97709 - 5.25052i) q^{50} +(0.0306301 + 1.80367i) q^{51} +(0.963476 + 0.890429i) q^{52} +(-2.19039 - 1.89798i) q^{53} +(-1.31030 + 7.23071i) q^{54} +(-1.49074 - 5.07700i) q^{55} +(-4.42431 + 7.25156i) q^{56} +(9.01548 + 7.54779i) q^{57} +(4.56208 - 11.6579i) q^{58} +(-5.85538 - 6.75747i) q^{59} +(2.85604 - 0.792158i) q^{60} +(-1.35914 + 9.45306i) q^{61} +(-0.469028 + 5.35222i) q^{62} +(-8.86958 + 1.58433i) q^{63} +(-7.56224 + 2.61007i) q^{64} +(0.510519 - 0.233146i) q^{65} +(-7.24706 + 13.3027i) q^{66} +(3.75974 - 5.85028i) q^{67} +(-1.97881 - 0.650528i) q^{68} +(8.05420 - 2.03220i) q^{69} +(2.13092 + 2.94365i) q^{70} +(5.71684 + 3.67399i) q^{71} +(-7.38941 - 4.17092i) q^{72} +(-1.30546 - 2.85857i) q^{73} +(1.12303 + 3.16478i) q^{74} +(-0.927644 + 7.33389i) q^{75} +(-11.6507 + 6.97080i) q^{76} +(-18.3847 - 2.64332i) q^{77} +(-1.50601 - 0.560048i) q^{78} +(8.12972 - 7.04444i) q^{79} +(-0.219009 + 3.41536i) q^{80} +(-1.88249 - 8.80092i) q^{81} +(-8.07495 - 1.89247i) q^{82} +(5.62837 - 1.65264i) q^{83} +(1.63530 - 10.2745i) q^{84} +(-0.583545 + 0.673447i) q^{85} +(1.67390 + 8.33505i) q^{86} +(0.260338 + 15.3301i) q^{87} +(-11.7607 - 12.9484i) q^{88} +(4.31320 - 0.620144i) q^{89} +(-2.86643 + 2.22718i) q^{90} -1.97007i q^{91} +(-0.837646 + 9.55502i) q^{92} +(-1.96080 - 6.28130i) q^{93} +(-0.262668 - 4.73726i) q^{94} +(0.826583 + 5.74901i) q^{95} +(7.35107 - 6.47779i) q^{96} +(-3.80939 - 1.11854i) q^{97} +(2.80072 - 0.562459i) q^{98} +(2.01532 - 18.4434i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 440 q - 22 q^{4} - 8 q^{6} - 18 q^{9}+O(q^{10}) $ 440 * q - 22 * q^4 - 8 * q^6 - 18 * q^9	$ 440 q - 22 q^{4} - 8 q^{6} - 18 q^{9} - 30 q^{10} - 18 q^{12} - 36 q^{13} - 30 q^{16} - 10 q^{18} - 22 q^{21} - 48 q^{22} - 14 q^{24} - 8 q^{25} - 34 q^{28} - 21 q^{30} - 6 q^{33} - 32 q^{34} + 22 q^{36} - 36 q^{37} - 168 q^{40} + q^{42} - 44 q^{45} - 110 q^{46} - 6 q^{48} - 16 q^{49} - 94 q^{52} + 21 q^{54} - 46 q^{57} - 116 q^{58} - 47 q^{60} - 68 q^{61} - 28 q^{64} - 20 q^{66} - 22 q^{69} - 44 q^{70} - 23 q^{72} - 36 q^{73} - 74 q^{76} + 134 q^{78} - 130 q^{81} + 36 q^{82} + 105 q^{84} - 60 q^{85} + 38 q^{88} + 162 q^{90} - 332 q^{93} - 40 q^{94} + 225 q^{96} - 36 q^{97}+O(q^{100}) $ 440 * q - 22 * q^4 - 8 * q^6 - 18 * q^9 - 30 * q^10 - 18 * q^12 - 36 * q^13 - 30 * q^16 - 10 * q^18 - 22 * q^21 - 48 * q^22 - 14 * q^24 - 8 * q^25 - 34 * q^28 - 21 * q^30 - 6 * q^33 - 32 * q^34 + 22 * q^36 - 36 * q^37 - 168 * q^40 + q^42 - 44 * q^45 - 110 * q^46 - 6 * q^48 - 16 * q^49 - 94 * q^52 + 21 * q^54 - 46 * q^57 - 116 * q^58 - 47 * q^60 - 68 * q^61 - 28 * q^64 - 20 * q^66 - 22 * q^69 - 44 * q^70 - 23 * q^72 - 36 * q^73 - 74 * q^76 + 134 * q^78 - 130 * q^81 + 36 * q^82 + 105 * q^84 - 60 * q^85 + 38 * q^88 + 162 * q^90 - 332 * q^93 - 40 * q^94 + 225 * q^96 - 36 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/276\mathbb{Z}\right)^\times$.

$n$	$97$	$139$	$185$
$\chi(n)$	$e\left(\frac{1}{11}\right)$	$-1$	$-1$

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 $

$2$	−0.0782940	−	1.41204i	−0.0553622	−	0.998466i
$2$	−0.0782940	−	1.41204i	−0.0553622	−	0.998466i
$3$	0.746168	+	1.56308i	0.430800	+	0.902447i
$3$	0.746168	+	1.56308i	0.430800	+	0.902447i
$4$	−1.98774	+	0.221109i	−0.993870	+	0.110555i
$5$	−0.241048	+	0.820935i	−0.107800	+	0.367134i	−0.995670	−	0.0929618i	$-0.970367\pi$
$5$	−0.241048	+	0.820935i	−0.107800	+	0.367134i	0.887870	+	0.460095i	$0.152185\pi$
$6$	2.14872	−	1.17600i	0.877213	−	0.480101i
$7$	2.26976	+	1.96676i	0.857889	+	0.743365i	0.968106	−	0.250543i	$-0.0806091\pi$
$7$	2.26976	+	1.96676i	0.857889	+	0.743365i	−0.110217	+	0.993908i	$0.535155\pi$
$8$	0.467844	+	2.78947i	0.165408	+	0.986225i
$9$	−1.88647	+	2.33265i	−0.628822	+	0.777549i
$10$	1.17807	+	0.276097i	0.372539	+	0.0873095i
$11$	−5.20266	+	3.34354i	−1.56866	+	1.00812i	−0.588836	+	0.808252i	$0.700414\pi$
$11$	−5.20266	+	3.34354i	−1.56866	+	1.00812i	−0.979824	+	0.199864i	$0.935950\pi$
$12$	−1.82880	−	2.94202i	−0.527929	−	0.849288i
$13$	−0.429564	−	0.495744i	−0.119140	−	0.137495i	0.693046	−	0.720893i	$-0.256268\pi$
$13$	−0.429564	−	0.495744i	−0.119140	−	0.137495i	−0.812186	+	0.583398i	$0.801723\pi$
$14$	2.59944	−	3.35899i	0.694730	−	0.897727i
$15$	−1.46305	+	0.235777i	−0.377759	+	0.0608773i
$16$	3.90222	−	0.879016i	0.975555	−	0.219754i
$17$	0.947379	+	0.432654i	0.229773	+	0.104934i	0.526975	−	0.849881i	$-0.323326\pi$
$17$	0.947379	+	0.432654i	0.229773	+	0.104934i	−0.297202	+	0.954815i	$0.596053\pi$
$18$	3.44150	+	2.48114i	0.811170	+	0.584811i
$19$	6.17497	−	2.82001i	1.41663	−	0.646955i	0.447680	−	0.894194i	$-0.352250\pi$
$19$	6.17497	−	2.82001i	1.41663	−	0.646955i	0.968955	+	0.247238i	$0.0795230\pi$
$20$	0.297625	−	1.68510i	0.0665510	−	0.376801i
$21$	−1.38059	+	5.01536i	−0.301269	+	1.09444i
$22$	5.12857	+	7.08460i	1.09341	+	1.51044i
$23$	0.944431	−	4.70192i	0.196928	−	0.980418i
$23$	0.944431	−	4.70192i	0.196928	−	0.980418i
$24$	−4.01108	+	2.81269i	−0.818758	+	0.574138i
$25$	3.59044	+	2.30743i	0.718087	+	0.461487i
$26$	−0.666380	+	0.645378i	−0.130688	+	0.126569i
$27$	−5.05375	−	1.20816i	−0.972594	−	0.232510i
$28$	−4.94656	−	3.40754i	−0.934812	−	0.643964i
$29$	8.05217	+	3.67730i	1.49525	+	0.682858i	0.984260	−	0.176728i	$-0.0565514\pi$
$29$	8.05217	+	3.67730i	1.49525	+	0.682858i	0.510991	+	0.859586i	$0.329279\pi$
$30$	0.447476	+	2.04744i	0.0816975	+	0.373809i
$31$	−3.76043	−	0.540668i	−0.675393	−	0.0971068i	−0.203920	−	0.978988i	$-0.565368\pi$
$31$	−3.76043	−	0.540668i	−0.675393	−	0.0971068i	−0.471473	+	0.881881i	$0.656277\pi$
$32$	−1.54673	−	5.44129i	−0.273426	−	0.961893i
$33$	−9.10830	−	5.63734i	−1.58555	−	0.981336i
$34$	0.536752	−	1.37162i	0.0920522	−	0.235230i
$35$	−2.16170	+	1.38924i	−0.365395	+	0.234825i
$36$	3.23403	−	5.05381i	0.539006	−	0.842302i
$37$	−2.27837	+	0.668989i	−0.374562	+	0.109981i	−0.463594	−	0.886047i	$-0.653441\pi$
$37$	−2.27837	+	0.668989i	−0.374562	+	0.109981i	0.0890329	+	0.996029i	$0.471622\pi$
$38$	−4.46545	−	8.49854i	−0.724391	−	1.37865i
$39$	0.454362	−	1.04135i	0.0727562	−	0.166750i
$40$	−2.40274	−	0.288326i	−0.379907	−	0.0455884i
$41$	1.65224	−	5.62701i	0.258036	−	0.878791i	−0.723952	−	0.689850i	$-0.757676\pi$
$41$	1.65224	−	5.62701i	0.258036	−	0.878791i	0.981988	−	0.188941i	$-0.0605055\pi$
$42$	7.19000	+	1.55678i	1.10944	+	0.240216i
$43$	−5.95026	+	0.855518i	−0.907406	+	0.130465i	−0.580187	−	0.814483i	$-0.697020\pi$
$43$	−5.95026	+	0.855518i	−0.907406	+	0.130465i	−0.327219	+	0.944949i	$0.606111\pi$
$44$	9.60224	−	7.79645i	1.44759	−	1.17536i
$45$	−1.46022	−	2.11095i	−0.217677	−	0.314682i
$46$	−6.71326	−	0.965447i	−0.989817	−	0.142347i
$47$	3.35489			0.489362			0.244681	−	0.969604i	$-0.421317\pi$
$47$	3.35489			0.489362			0.244681	+	0.969604i	$0.421317\pi$
$48$	4.28569	+	5.44361i	0.618586	+	0.785717i
$49$	0.287469	+	1.99939i	0.0410669	+	0.285627i
$50$	2.97709	−	5.25052i	0.421024	−	0.742535i
$51$	0.0306301	+	1.80367i	0.00428907	+	0.252564i
$52$	0.963476	+	0.890429i	0.133610	+	0.123480i
$53$	−2.19039	−	1.89798i	−0.300873	−	0.260708i	0.491319	−	0.870980i	$-0.336515\pi$
$53$	−2.19039	−	1.89798i	−0.300873	−	0.260708i	−0.792192	+	0.610272i	$0.791060\pi$
$54$	−1.31030	+	7.23071i	−0.178309	+	0.983975i
$55$	−1.49074	−	5.07700i	−0.201012	−	0.684583i
$56$	−4.42431	+	7.25156i	−0.591223	+	0.969030i
$57$	9.01548	+	7.54779i	1.19413	+	0.999730i
$58$	4.56208	−	11.6579i	0.599030	−	1.53076i
$59$	−5.85538	−	6.75747i	−0.762305	−	0.879747i	0.233395	−	0.972382i	$-0.425017\pi$
$59$	−5.85538	−	6.75747i	−0.762305	−	0.879747i	−0.995700	+	0.0926348i	$0.970471\pi$
$60$	2.85604	−	0.792158i	0.368713	−	0.102267i
$61$	−1.35914	+	9.45306i	−0.174021	+	1.21034i	0.696262	+	0.717787i	$0.254845\pi$
$61$	−1.35914	+	9.45306i	−0.174021	+	1.21034i	−0.870283	+	0.492552i	$0.836064\pi$
$62$	−0.469028	+	5.35222i	−0.0595666	+	0.679733i
$63$	−8.86958	+	1.58433i	−1.11746	+	0.199606i
$64$	−7.56224	+	2.61007i	−0.945280	+	0.326259i
$65$	0.510519	−	0.233146i	0.0633221	−	0.0289183i
$66$	−7.24706	+	13.3027i	−0.892051	+	1.63745i
$67$	3.75974	−	5.85028i	0.459326	−	0.714725i	−0.531914	−	0.846798i	$-0.678527\pi$
$67$	3.75974	−	5.85028i	0.459326	−	0.714725i	0.991240	+	0.132073i	$0.0421634\pi$
$68$	−1.97881	−	0.650528i	−0.239966	−	0.0788882i
$69$	8.05420	−	2.03220i	0.969612	−	0.244648i
$70$	2.13092	+	2.94365i	0.254694	+	0.351834i
$71$	5.71684	+	3.67399i	0.678464	+	0.436022i	0.833968	−	0.551813i	$-0.186064\pi$
$71$	5.71684	+	3.67399i	0.678464	+	0.436022i	−0.155504	+	0.987835i	$0.549700\pi$
$72$	−7.38941	−	4.17092i	−0.870851	−	0.491547i
$73$	−1.30546	−	2.85857i	−0.152793	−	0.334570i	0.817721	−	0.575615i	$-0.195237\pi$
$73$	−1.30546	−	2.85857i	−0.152793	−	0.334570i	−0.970514	+	0.241045i	$0.922510\pi$
$74$	1.12303	+	3.16478i	0.130549	+	0.367898i
$75$	−0.927644	+	7.33389i	−0.107115	+	0.846845i
$76$	−11.6507	+	6.97080i	−1.33643	+	0.799605i
$77$	−18.3847	−	2.64332i	−2.09513	−	0.301235i
$78$	−1.50601	−	0.560048i	−0.170522	−	0.0634129i
$79$	8.12972	−	7.04444i	0.914665	−	0.792561i	−0.0640162	−	0.997949i	$-0.520391\pi$
$79$	8.12972	−	7.04444i	0.914665	−	0.792561i	0.978681	+	0.205388i	$0.0658455\pi$
$80$	−0.219009	+	3.41536i	−0.0244860	+	0.381849i
$81$	−1.88249	−	8.80092i	−0.209166	−	0.977880i
$82$	−8.07495	−	1.89247i	−0.891729	−	0.208989i
$83$	5.62837	−	1.65264i	0.617794	−	0.181401i	0.0421635	−	0.999111i	$-0.486575\pi$
$83$	5.62837	−	1.65264i	0.617794	−	0.181401i	0.575630	+	0.817710i	$0.304757\pi$
$84$	1.63530	−	10.2745i	0.178426	−	1.12104i
$85$	−0.583545	+	0.673447i	−0.0632943	+	0.0730456i
$86$	1.67390	+	8.33505i	0.180501	+	0.898791i
$87$	0.260338	+	15.3301i	0.0279111	+	1.64356i
$88$	−11.7607	−	12.9484i	−1.25370	−	1.38030i
$89$	4.31320	−	0.620144i	0.457198	−	0.0657351i	0.0901315	−	0.995930i	$-0.471271\pi$
$89$	4.31320	−	0.620144i	0.457198	−	0.0657351i	0.367066	+	0.930195i	$0.380362\pi$
$90$	−2.86643	+	2.22718i	−0.302148	+	0.234765i
$91$		−	1.97007i		−	0.206519i
$92$	−0.837646	+	9.55502i	−0.0873306	+	0.996179i
$93$	−1.96080	−	6.28130i	−0.203326	−	0.651340i
$94$	−0.262668	−	4.73726i	−0.0270922	−	0.488611i
$95$	0.826583	+	5.74901i	0.0848056	+	0.589836i
$96$	7.35107	−	6.47779i	0.750266	−	0.661136i
$97$	−3.80939	−	1.11854i	−0.386785	−	0.113570i	0.0825581	−	0.996586i	$-0.473691\pi$
$97$	−3.80939	−	1.11854i	−0.386785	−	0.113570i	−0.469343	+	0.883016i	$0.655509\pi$
$98$	2.80072	−	0.562459i	0.282915	−	0.0568169i
$99$	2.01532	−	18.4434i	0.202548	−	1.85364i
$100$	−7.64705	−	3.79270i	−0.764705	−	0.379270i
$101$	0.210808	+	0.717946i	0.0209762	+	0.0714383i	0.969316	−	0.245818i	$-0.0790566\pi$
$101$	0.210808	+	0.717946i	0.0209762	+	0.0714383i	−0.948340	+	0.317256i	$0.897238\pi$
$102$	2.54446	−	0.184467i	0.251939	−	0.0182650i
$103$	8.77771	+	13.6584i	0.864893	+	1.34580i	0.937336	+	0.348428i	$0.113284\pi$
$103$	8.77771	+	13.6584i	0.864893	+	1.34580i	−0.0724421	+	0.997373i	$0.523079\pi$
$104$	1.18189	−	1.43019i	0.115894	−	0.140241i
$105$	−3.78450	−	2.34232i	−0.369329	−	0.228587i
$106$	−2.50854	+	3.24153i	−0.243651	+	0.314845i
$107$	−0.609392	+	4.23842i	−0.0589122	+	0.409743i	0.938931	+	0.344105i	$0.111818\pi$
$107$	−0.609392	+	4.23842i	−0.0589122	+	0.409743i	−0.997843	+	0.0656386i	$0.979092\pi$
$108$	10.3127	+	1.28408i	0.992337	+	0.123560i
$109$	−6.72784	+	14.7319i	−0.644410	+	1.41106i	0.251952	+	0.967740i	$0.418927\pi$
$109$	−6.72784	+	14.7319i	−0.644410	+	1.41106i	−0.896363	+	0.443322i	$0.853800\pi$
$110$	−7.05224	+	2.50249i	−0.672404	+	0.238603i
$111$	−2.74573	−	3.06210i	−0.260613	−	0.290642i
$112$	10.5859	+	5.67957i	1.00028	+	0.536669i
$113$	6.88581	−	10.7145i	0.647763	−	1.00794i	−0.349708	−	0.936859i	$-0.613719\pi$
$113$	6.88581	−	10.7145i	0.647763	−	1.00794i	0.997471	−	0.0710800i	$-0.0226445\pi$
$114$	9.95196	−	13.3212i	0.932087	−	1.24765i
$115$	3.63232	+	1.90871i	0.338716	+	0.177988i
$116$	−16.8187	−	5.52911i	−1.56158	−	0.513365i
$117$	1.96675	−	0.0668186i	0.181827	−	0.00617738i
$118$	−9.08340	+	8.79713i	−0.836195	+	0.809841i
$119$	1.29940	+	2.84529i	0.119116	+	0.260827i
$120$	−1.34217	−	3.97083i	−0.122523	−	0.362486i
$121$	11.3188	−	24.7847i	1.02898	−	2.25315i
$122$	13.4545	+	1.17905i	1.21812	+	0.106747i
$123$	10.0283	−	1.61611i	0.904225	−	0.145719i
$124$	7.59430	+	0.243242i	0.681988	+	0.0218437i
$125$	−5.99279	+	5.19279i	−0.536012	+	0.464457i
$126$	2.93158	+	12.4002i	0.261166	+	1.10470i
$127$	6.16217	+	9.58853i	0.546804	+	0.850844i	0.999159	−	0.0409938i	$-0.0130524\pi$
$127$	6.16217	+	9.58853i	0.546804	+	0.850844i	−0.452355	+	0.891838i	$0.649416\pi$
$128$	4.27762	+	10.4739i	0.378091	+	0.925768i
$129$	−5.77714	−	8.66239i	−0.508649	−	0.762681i
$130$	−0.369184	−	0.702622i	−0.0323796	−	0.0616241i
$131$	3.38758	−	3.90948i	0.295975	−	0.341573i	−0.588212	−	0.808707i	$-0.700168\pi$
$131$	3.38758	−	3.90948i	0.295975	−	0.341573i	0.884187	+	0.467134i	$0.154713\pi$
$132$	19.3514	+	9.19165i	1.68432	+	0.800030i
$133$	19.5620	+	5.74392i	1.69624	+	0.498061i
$134$	−8.55522	−	4.85088i	−0.739058	−	0.419053i
$135$	2.21002	−	3.85758i	0.190208	−	0.332007i
$136$	−0.763646	+	2.84510i	−0.0654821	+	0.243965i
$137$			5.49325i			0.469320i	0.972078	+	0.234660i	$0.0753977\pi$
$137$			5.49325i			0.469320i	−0.972078	+	0.234660i	$0.924602\pi$
$138$	−3.50015	−	11.2138i	−0.297952	−	0.954581i
$139$		−	4.62078i		−	0.391929i	−0.980611	−	0.195965i	$-0.937216\pi$
$139$		−	4.62078i		−	0.391929i	0.980611	−	0.195965i	$-0.0627838\pi$
$140$	3.98973	−	3.23943i	0.337194	−	0.273781i
$141$	2.50332	+	5.24398i	0.210817	+	0.441623i
$142$	4.74024	−	8.36008i	0.397792	−	0.701563i
$143$	3.89242	+	1.14292i	0.325500	+	0.0955755i
$144$	−5.31097	+	10.7607i	−0.442581	+	0.896728i
$145$	−4.95979	+	5.72390i	−0.411888	+	0.475344i
$146$	−3.93422	+	2.06718i	−0.325598	+	0.171081i
$147$	−2.91071	+	1.94122i	−0.240072	+	0.160109i
$148$	4.38089	−	1.83355i	0.360107	−	0.150717i
$149$	2.44959	+	3.81164i	0.200678	+	0.312261i	0.926977	−	0.375117i	$-0.122398\pi$
$149$	2.44959	+	3.81164i	0.200678	+	0.312261i	−0.726299	+	0.687379i	$0.758761\pi$
$150$	10.4284	+	0.735675i	0.851476	+	0.0600676i
$151$	2.05730	−	1.78266i	0.167421	−	0.145071i	−0.567121	−	0.823635i	$-0.691943\pi$
$151$	2.05730	−	1.78266i	0.167421	−	0.145071i	0.734542	+	0.678564i	$0.237397\pi$
$152$	10.7553	+	15.9055i	0.872367	+	1.29011i
$153$	−2.79643	+	1.39372i	−0.226078	+	0.112675i
$154$	−2.29308	+	26.1670i	−0.184781	+	2.10860i
$155$	1.35030	−	2.95674i	0.108459	−	0.237491i
$156$	−0.672901	+	2.17040i	−0.0538752	+	0.173771i
$157$	1.81188	+	3.96746i	0.144604	+	0.316638i	0.968050	−	0.250756i	$-0.0806791\pi$
$157$	1.81188	+	3.96746i	0.144604	+	0.316638i	−0.823447	+	0.567394i	$0.807952\pi$
$158$	−10.5836	−	10.9280i	−0.841984	−	0.869384i
$159$	1.33231	−	4.83998i	0.105659	−	0.383835i
$160$	4.83978	+	0.0418485i	0.382619	+	0.00330841i
$161$	11.3912	−	8.81476i	0.897750	−	0.694700i
$162$	−12.2799	+	3.34722i	−0.964801	+	0.262982i
$163$	4.54330	−	7.06951i	0.355859	−	0.553727i	−0.616460	−	0.787386i	$-0.711434\pi$
$163$	4.54330	−	7.06951i	0.355859	−	0.553727i	0.972318	+	0.233660i	$0.0750701\pi$
$164$	−2.04004	+	11.5504i	−0.159300	+	0.901931i
$165$	6.82344	−	6.11845i	0.531204	−	0.476321i
$166$	−2.77427	−	7.81812i	−0.215325	−	0.606803i
$167$	7.25832	−	15.8935i	0.561666	−	1.22988i	−0.389452	−	0.921047i	$-0.627335\pi$
$167$	7.25832	−	15.8935i	0.561666	−	1.22988i	0.951117	−	0.308830i	$-0.0999373\pi$
$168$	−14.6361	−	1.50469i	−1.12920	−	0.116090i
$169$	1.78886	−	12.4418i	0.137604	−	0.957059i
$170$	0.996625	+	0.771265i	0.0764376	+	0.0591533i
$171$	−5.07077	+	19.7239i	−0.387772	+	1.50832i
$172$	11.6384	−	3.01620i	0.887420	−	0.229983i
$173$	−5.32661	−	8.28836i	−0.404974	−	0.630153i	0.577535	−	0.816366i	$-0.304015\pi$
$173$	−5.32661	−	8.28836i	−0.404974	−	0.630153i	−0.982509	+	0.186213i	$0.940378\pi$
$174$	21.6264	−	1.56786i	1.63949	−	0.118859i
$175$	3.61127	+	12.2988i	0.272986	+	0.929705i
$176$	−17.3629	+	17.6205i	−1.30878	+	1.32819i
$177$	6.19340	−	14.1947i	0.465524	−	1.06694i
$178$	−1.21337	−	6.04187i	−0.0909458	−	0.452858i
$179$	−19.2193	−	5.64330i	−1.43652	−	0.421800i	−0.531459	−	0.847084i	$-0.678356\pi$
$179$	−19.2193	−	5.64330i	−1.43652	−	0.421800i	−0.905060	+	0.425284i	$0.860174\pi$
$180$	3.36930	+	3.87315i	0.251132	+	0.288687i
$181$	−0.877598	−	6.10383i	−0.0652313	−	0.453694i	−0.996092	−	0.0883199i	$-0.971850\pi$
$181$	−0.877598	−	6.10383i	−0.0652313	−	0.453694i	0.930861	−	0.365374i	$-0.119059\pi$
$182$	−2.78182	+	0.154245i	−0.206203	+	0.0114334i
$183$	−15.7901	+	4.92911i	−1.16724	+	0.364370i
$184$	13.5577	+	0.434692i	0.999486	+	0.0320460i
$185$		−	2.03165i		−	0.149370i
$186$	−8.71595	+	3.26053i	−0.639085	+	0.239074i
$187$	−6.37548	+	0.916656i	−0.466222	+	0.0670325i
$188$	−6.66866	+	0.741798i	−0.486362	+	0.0541012i
$189$	−9.09464	−	12.6817i	−0.661537	−	0.922460i
$190$	8.05314	−	1.61729i	0.584236	−	0.117330i
$191$	0.239758	−	0.276695i	0.0173483	−	0.0200210i	−0.747009	−	0.664814i	$-0.768511\pi$
$191$	0.239758	−	0.276695i	0.0173483	−	0.0200210i	0.764357	+	0.644793i	$0.223056\pi$
$192$	−9.72247	−	9.87287i	−0.701659	−	0.712513i
$193$	−3.62274	+	1.06373i	−0.260770	+	0.0765691i	−0.409504	−	0.912308i	$-0.634298\pi$
$193$	−3.62274	+	1.06373i	−0.260770	+	0.0765691i	0.148734	+	0.988877i	$0.452480\pi$
$194$	−1.28117	+	5.46660i	−0.0919828	+	0.392479i
$195$	0.745361	+	0.624019i	0.0533764	+	0.0446869i
$196$	−1.01350	−	3.91070i	−0.0723926	−	0.279336i
$197$	−3.44441	+	2.98460i	−0.245404	+	0.212644i	−0.768874	−	0.639400i	$-0.779183\pi$
$197$	−3.44441	+	2.98460i	−0.245404	+	0.212644i	0.523470	+	0.852044i	$0.324637\pi$
$198$	−26.2008	−	1.40172i	−1.86201	−	0.0996157i
$199$	−12.5807	−	1.80884i	−0.891825	−	0.128225i	−0.318857	−	0.947803i	$-0.603299\pi$
$199$	−12.5807	−	1.80884i	−0.891825	−	0.128225i	−0.572968	+	0.819578i	$0.694208\pi$
$200$	−4.75674	+	11.0949i	−0.336352	+	0.784529i
$201$	11.9499	+	1.51151i	0.842879	+	0.106614i
$202$	0.997267	−	0.353881i	0.0701675	−	0.0248990i
$203$	11.0441	+	24.1833i	0.775146	+	1.69733i
$204$	−0.459692	−	3.57845i	−0.0321849	−	0.250541i
$205$	4.22114	+	2.71276i	0.294817	+	0.189468i
$206$	18.5990	−	13.4639i	1.29585	−	0.938074i
$207$	9.18628	+	11.0730i	0.638491	+	0.769629i
$208$	−2.11202	−	1.55691i	−0.146442	−	0.107952i
$209$	−22.6974	+	35.3178i	−1.57001	+	2.44299i
$210$	−3.01115	+	5.52727i	−0.207789	+	0.381418i
$211$	−18.3932	+	8.39989i	−1.26624	+	0.578272i	−0.931398	−	0.364003i	$-0.881410\pi$
$211$	−18.3932	+	8.39989i	−1.26624	+	0.578272i	−0.334841	+	0.942275i	$0.608683\pi$
$212$	4.77359	+	3.28838i	0.327851	+	0.225847i
$213$	−1.47703	+	11.6773i	−0.101205	+	0.800117i
$214$	6.03255	+	0.528647i	0.412376	+	0.0361375i
$215$	0.731975	−	5.09100i	0.0499203	−	0.347203i
$216$	1.00575	−	14.6625i	0.0684327	−	0.997656i
$217$	−7.47191	−	8.62304i	−0.507226	−	0.585370i
$218$	21.3289	+	8.34659i	1.44457	+	0.565302i
$219$	3.49409	−	4.17352i	0.236109	−	0.282021i
$220$	4.08578	+	9.76214i	0.275463	+	0.658163i
$221$	−0.192475	−	0.655510i	−0.0129473	−	0.0440944i
$222$	−4.10885	+	4.11684i	−0.275768	+	0.276304i
$223$	−10.5783	−	9.16612i	−0.708373	−	0.613809i	0.224305	−	0.974519i	$-0.427989\pi$
$223$	−10.5783	−	9.16612i	−0.708373	−	0.613809i	−0.932678	+	0.360710i	$0.882534\pi$
$224$	7.19099	−	15.3925i	0.480468	−	1.02845i
$225$	−12.1557	+	4.02233i	−0.810378	+	0.268155i
$226$	−15.6685	−	8.88419i	−1.04225	−	0.590968i
$227$	0.915496	+	6.36742i	0.0607636	+	0.422620i	0.997385	+	0.0722761i	$0.0230263\pi$
$227$	0.915496	+	6.36742i	0.0607636	+	0.422620i	−0.936621	+	0.350344i	$0.886065\pi$
$228$	−19.5893	−	13.0096i	−1.29733	−	0.861585i
$229$	−4.37060			−0.288817			−0.144409	−	0.989518i	$-0.546128\pi$
$229$	−4.37060			−0.288817			−0.144409	+	0.989518i	$0.546128\pi$
$230$	2.41079	−	5.27844i	0.158963	−	0.348050i
$231$	−9.58636	−	30.7092i	−0.630736	−	2.02052i
$232$	−6.49055	+	24.1817i	−0.426125	+	1.58760i
$233$	−18.9536	+	2.72511i	−1.24169	+	0.178528i	−0.731685	−	0.681643i	$-0.761266\pi$
$233$	−18.9536	+	2.72511i	−1.24169	+	0.178528i	−0.510006	+	0.860171i	$0.670357\pi$
$234$	−0.248336	−	2.77191i	−0.0162342	−	0.181206i
$235$	−0.808692	+	2.75415i	−0.0527532	+	0.179661i
$236$	13.1331	+	12.1374i	0.854893	+	0.790078i
$237$	17.0772	+	7.45110i	1.10928	+	0.484001i
$238$	3.91594	−	2.05758i	0.253832	−	0.133373i
$239$	−0.618896	+	0.181724i	−0.0400330	+	0.0117548i	−0.301688	−	0.953407i	$-0.597550\pi$
$239$	−0.618896	+	0.181724i	−0.0400330	+	0.0117548i	0.261655	+	0.965162i	$0.415732\pi$
$240$	−5.50191	+	2.20610i	−0.355147	+	0.142403i
$241$	−15.0918	+	9.69890i	−0.972148	+	0.624761i	−0.927334	−	0.374234i	$-0.877906\pi$
$241$	−15.0918	+	9.69890i	−0.972148	+	0.624761i	−0.0448133	+	0.998995i	$0.514269\pi$
$242$	−35.8832	−	14.0421i	−2.30666	−	0.902662i
$243$	12.3519	−	9.50946i	0.792377	−	0.610032i
$244$	0.611467	−	19.0907i	0.0391451	−	1.22216i
$245$	−1.71066	−	0.245956i	−0.109290	−	0.0157136i
$246$	−3.06717	−	14.0339i	−0.195556	−	0.894771i
$247$	−4.05055	−	1.84982i	−0.257730	−	0.117702i
$248$	−0.251120	−	10.7425i	−0.0159462	−	0.682152i
$249$	6.78292	+	7.56447i	0.429850	+	0.479379i
$250$	7.80164	+	8.05553i	0.493419	+	0.509476i
$251$	2.22469	+	1.42972i	0.140421	+	0.0902434i	0.608965	−	0.793197i	$-0.291585\pi$
$251$	2.22469	+	1.42972i	0.140421	+	0.0902434i	−0.468544	+	0.883440i	$0.655221\pi$
$252$	17.2801	−	5.11038i	1.08854	−	0.321924i
$253$	10.8075	+	27.6202i	0.679463	+	1.73647i
$254$	13.0570	−	9.45199i	0.819267	−	0.593070i
$255$	−1.48808	−	0.409626i	−0.0931870	−	0.0256517i
$256$	14.4547	−	6.86023i	0.903416	−	0.428764i
$257$	27.3075	−	12.4709i	1.70339	−	0.777913i	0.705811	−	0.708400i	$-0.250583\pi$
$257$	27.3075	−	12.4709i	1.70339	−	0.777913i	0.997581	−	0.0695131i	$-0.0221446\pi$
$258$	−11.7794	+	8.83579i	−0.733352	+	0.550092i
$259$	−6.48709	−	2.96256i	−0.403088	−	0.184084i
$260$	−0.963229	+	0.576315i	−0.0597369	+	0.0357415i
$261$	−23.7680	+	11.8458i	−1.47120	+	0.733235i
$262$	−5.78559	−	4.47733i	−0.357435	−	0.276610i
$263$	−1.51361	−	1.74680i	−0.0933335	−	0.107713i	0.707161	−	0.707052i	$-0.249975\pi$
$263$	−1.51361	−	1.74680i	−0.0933335	−	0.107713i	−0.800495	+	0.599340i	$0.795430\pi$
$264$	11.4639	−	28.0447i	0.705555	−	1.72603i
$265$	2.08611	−	1.34066i	0.128149	−	0.0823563i
$266$	6.57908	−	28.0721i	0.403389	−	1.72121i
$267$	4.18771	+	6.27916i	0.256284	+	0.384278i
$268$	−6.17984	+	12.4601i	−0.377494	+	0.761124i
$269$	12.7688	+	11.0642i	0.778525	+	0.674596i	0.950576	−	0.310492i	$-0.100494\pi$
$269$	12.7688	+	11.0642i	0.778525	+	0.674596i	−0.172051	+	0.985088i	$0.555039\pi$
$270$	−5.62010	−	2.81862i	−0.342028	−	0.171536i
$271$	8.17143	−	27.8293i	0.496379	−	1.69051i	−0.205870	−	0.978579i	$-0.566002\pi$
$271$	8.17143	−	27.8293i	0.496379	−	1.69051i	0.702249	−	0.711932i	$-0.252180\pi$
$272$	4.07719	+	0.855549i	0.247216	+	0.0518753i
$273$	3.07938	−	1.47000i	0.186373	−	0.0889686i
$274$	7.75671	−	0.430089i	0.468600	−	0.0259826i
$275$	−26.3948			−1.59167
$276$	−15.5603	+	5.82034i	−0.936621	+	0.350343i
$277$	19.0586			1.14512			0.572561	−	0.819862i	$-0.305950\pi$
$277$	19.0586			1.14512			0.572561	+	0.819862i	$0.305950\pi$
$278$	−6.52475	+	0.361779i	−0.391328	+	0.0216981i
$279$	8.35511	−	7.75180i	0.500207	−	0.464088i
$280$	−4.88659	−	5.38005i	−0.292029	−	0.321519i
$281$	−3.25004	+	11.0686i	−0.193881	+	0.660299i	0.803963	+	0.594679i	$0.202721\pi$
$281$	−3.25004	+	11.0686i	−0.193881	+	0.660299i	−0.997845	+	0.0656205i	$0.979097\pi$
$282$	7.20874	−	3.94537i	0.429274	−	0.234943i
$283$	13.7973	+	11.9554i	0.820165	+	0.710677i	0.960153	−	0.279476i	$-0.0901609\pi$
$283$	13.7973	+	11.9554i	0.820165	+	0.710677i	−0.139988	+	0.990153i	$0.544706\pi$
$284$	−12.1759	−	6.03889i	−0.722509	−	0.358342i
$285$	−8.36942	+	5.58175i	−0.495762	+	0.330634i
$286$	1.30910	−	5.58575i	0.0774085	−	0.330292i
$287$	14.8172	−	9.52241i	0.874629	−	0.562090i
$288$	15.6105	+	6.65683i	0.919855	+	0.392258i
$289$	−10.4223	−	12.0280i	−0.613076	−	0.707528i
$290$	8.47073	+	6.55530i	0.497418	+	0.384940i
$291$	−1.09408	−	6.78901i	−0.0641359	−	0.397979i
$292$	3.22698	+	5.39344i	0.188845	+	0.315627i
$293$	11.0134	+	5.02967i	0.643412	+	0.293836i	0.710273	−	0.703926i	$-0.248571\pi$
$293$	11.0134	+	5.02967i	0.643412	+	0.293836i	−0.0668616	+	0.997762i	$0.521299\pi$
$294$	2.96898	+	3.95807i	0.173154	+	0.230839i
$295$	6.95887	−	3.17801i	0.405161	−	0.185031i
$296$	−2.93205	−	6.04245i	−0.170422	−	0.351210i
$297$	30.3324	−	10.6118i	1.76007	−	0.615758i
$298$	5.19041	−	3.75736i	0.300672	−	0.217658i
$299$	−2.73664	+	1.55158i	−0.158264	+	0.0897303i
$300$	0.222324	−	14.7830i	0.0128359	−	0.853496i
$301$	−15.1883	−	9.76090i	−0.875436	−	0.562609i
$302$	−2.67827	−	2.76543i	−0.154117	−	0.159133i
$303$	−0.964913	+	0.865220i	−0.0554328	+	0.0497056i
$304$	21.6173	−	16.4322i	1.23983	−	0.942452i
$305$	−7.43273	−	3.39441i	−0.425597	−	0.194364i
$306$	2.18693	+	3.83956i	0.125019	+	0.219493i
$307$	11.6169	+	1.67026i	0.663013	+	0.0953269i	0.465602	−	0.884994i	$-0.345838\pi$
$307$	11.6169	+	1.67026i	0.663013	+	0.0953269i	0.197411	+	0.980321i	$0.436747\pi$
$308$	37.1285	+	1.18921i	2.11559	+	0.0677614i
$309$	−14.7996	+	23.9118i	−0.841918	+	1.36029i
$310$	−4.28077	−	1.67519i	−0.243132	−	0.0951442i
$311$	−17.6331	+	11.3321i	−0.999881	+	0.642584i	−0.934755	−	0.355293i	$-0.884381\pi$
$311$	−17.6331	+	11.3321i	−0.999881	+	0.642584i	−0.0651255	+	0.997877i	$0.520745\pi$
$312$	3.11739	+	0.780236i	0.176488	+	0.0441722i
$313$	−10.9661	+	3.21993i	−0.619839	+	0.182001i	−0.576551	−	0.817061i	$-0.695602\pi$
$313$	−10.9661	+	3.21993i	−0.619839	+	0.182001i	−0.0432884	+	0.999063i	$0.513783\pi$
$314$	5.46038	−	2.86908i	0.308147	−	0.161912i
$315$	0.837367	−	7.66325i	0.0471803	−	0.431775i
$316$	−14.6022	+	15.8001i	−0.821436	+	0.888823i
$317$	−3.08228	+	10.4973i	−0.173118	+	0.589586i	0.826526	+	0.562899i	$0.190314\pi$
$317$	−3.08228	+	10.4973i	−0.173118	+	0.589586i	−0.999644	+	0.0266874i	$0.991504\pi$
$318$	−6.93858	−	1.50234i	−0.389096	−	0.0842470i
$319$	−54.1879	+	7.79104i	−3.03394	+	0.436215i
$320$	−0.319834	−	6.83727i	−0.0178793	−	0.382215i
$321$	−7.07971	+	2.21004i	−0.395151	+	0.123352i
$322$	−13.3387	−	15.3947i	−0.743337	−	0.857913i
$323$	7.07013			0.393392
$324$	5.68787	+	17.0777i	0.315993	+	0.948762i
$325$	−0.398428	−	2.77113i	−0.0221008	−	0.153715i
$326$	−10.3382	−	5.86184i	−0.572579	−	0.324657i
$327$	−28.0473	+	0.476303i	−1.55102	+	0.0263396i
$328$	16.4693	+	1.97630i	0.909367	+	0.109123i
$329$	7.61480	+	6.59827i	0.419818	+	0.363774i
$330$	−9.17376	−	9.15596i	−0.504999	−	0.504019i
$331$	2.68194	+	9.13384i	0.147413	+	0.502041i	0.999782	−	0.0208997i	$-0.00665307\pi$
$331$	2.68194	+	9.13384i	0.147413	+	0.502041i	−0.852369	+	0.522941i	$0.824835\pi$
$332$	−10.8223	+	4.52950i	−0.593952	+	0.248589i
$333$	2.73755	−	6.57666i	0.150017	−	0.360399i
$334$	−23.0106	−	9.00471i	−1.25909	−	0.492716i
$335$	3.89642	+	4.49671i	0.212884	+	0.245681i
$336$	−0.978776	+	20.7846i	−0.0533966	+	1.13389i
$337$	0.552344	−	3.84164i	0.0300881	−	0.209267i	−0.969231	−	0.246151i	$-0.920834\pi$
$337$	0.552344	−	3.84164i	0.0300881	−	0.209267i	0.999320	+	0.0368838i	$0.0117431\pi$
$338$	−17.7084	−	1.55183i	−0.963210	−	0.0844084i
$339$	21.8857	+	2.76826i	1.18867	+	0.150351i
$340$	1.01103	−	1.46766i	0.0548308	−	0.0795953i
$341$	21.3720	−	9.76025i	1.15736	−	0.528547i
$342$	28.2480	+	5.61589i	1.52748	+	0.303673i
$343$	8.08620	−	12.5824i	0.436614	−	0.679385i
$344$	−5.17023	−	16.1978i	−0.278760	−	0.873326i
$345$	−0.273150	+	7.10184i	−0.0147059	+	0.382350i
$346$	−11.2865	+	8.17034i	−0.606766	+	0.439240i
$347$	−12.7666	−	8.20460i	−0.685348	−	0.440446i	0.151082	−	0.988521i	$-0.451724\pi$
$347$	−12.7666	−	8.20460i	−0.685348	−	0.440446i	−0.836429	+	0.548075i	$0.815361\pi$
$348$	−3.90711	−	30.4147i	−0.209443	−	1.63040i
$349$	−6.52088	−	14.2787i	−0.349055	−	0.764323i	−0.999987	−	0.00518713i	$-0.998349\pi$
$349$	−6.52088	−	14.2787i	−0.349055	−	0.764323i	0.650932	−	0.759136i	$-0.274378\pi$
$350$	17.0838	−	6.06219i	0.913166	−	0.324038i
$351$	1.57197	+	3.02435i	0.0839057	+	0.161428i
$352$	26.2403	+	23.1376i	1.39861	+	1.23324i
$353$	−0.103392	−	0.0148655i	−0.00550299	−	0.000791210i	0.139563	−	0.990213i	$-0.455430\pi$
$353$	−0.103392	−	0.0148655i	−0.00550299	−	0.000791210i	−0.145066	+	0.989422i	$0.546339\pi$
$354$	−20.5284	−	7.63399i	−1.09107	−	0.405742i
$355$	−4.39414	+	3.80755i	−0.233217	+	0.202084i
$356$	−8.43639	+	2.18637i	−0.447128	+	0.115878i
$357$	−3.47785	+	4.15413i	−0.184067	+	0.219860i
$358$	−6.46383	+	27.5804i	−0.341624	+	1.45767i
$359$	−17.4858	+	5.13429i	−0.922864	+	0.270977i	−0.708446	−	0.705765i	$-0.750604\pi$
$359$	−17.4858	+	5.13429i	−0.922864	+	0.270977i	−0.214418	+	0.976742i	$0.568785\pi$
$360$	5.20526	−	5.06084i	0.274341	−	0.266730i
$361$	17.7354	−	20.4677i	0.933442	−	1.07725i
$362$	−8.55016	+	1.71710i	−0.449387	+	0.0902488i
$363$	47.1862	−	0.801322i	2.47664	−	0.0420585i
$364$	0.435601	+	3.91598i	0.0228317	+	0.205253i
$365$	2.66138	−	0.382649i	0.139303	−	0.0200288i
$366$	8.19639	+	21.9104i	0.428432	+	1.14527i
$367$			28.5322i			1.48937i	0.667418	+	0.744683i	$0.267400\pi$
$367$			28.5322i			1.48937i	−0.667418	+	0.744683i	$0.732600\pi$
$368$	−0.447681	−	19.1781i	−0.0233370	−	0.999728i
$369$	10.0089	+	14.4693i	0.521044	+	0.753239i
$370$	−2.86878	+	0.159066i	−0.149141	+	0.00826946i
$371$	−1.23878	−	8.61594i	−0.0643145	−	0.447317i
$372$	5.28642	+	12.0520i	0.274088	+	0.624869i
$373$	−24.8891	−	7.30810i	−1.28871	−	0.378399i	−0.435604	−	0.900138i	$-0.643465\pi$
$373$	−24.8891	−	7.30810i	−1.28871	−	0.378399i	−0.853105	+	0.521739i	$0.825284\pi$
$374$	1.79352	+	8.93070i	0.0927408	+	0.461795i
$375$	−12.5884	−	5.49255i	−0.650062	−	0.283634i
$376$	1.56957	+	9.35836i	0.0809443	+	0.482621i
$377$	−1.63593	−	5.57145i	−0.0842545	−	0.286944i
$378$	−17.1951	+	13.8349i	−0.884421	+	0.711592i
$379$	−4.70320	−	7.31832i	−0.241587	−	0.375917i	0.699194	−	0.714932i	$-0.253542\pi$
$379$	−4.70320	−	7.31832i	−0.241587	−	0.375917i	−0.940781	+	0.339015i	$0.889906\pi$
$380$	−2.91419	−	11.2448i	−0.149495	−	0.576845i
$381$	−10.3897	+	16.7866i	−0.532278	+	0.860006i
$382$	−0.409478	−	0.316885i	−0.0209507	−	0.0162133i
$383$	−2.74791	+	19.1122i	−0.140412	+	0.976585i	0.790792	+	0.612085i	$0.209669\pi$
$383$	−2.74791	+	19.1122i	−0.140412	+	0.976585i	−0.931203	+	0.364500i	$0.881240\pi$
$384$	−13.1797	+	14.5015i	−0.672575	+	0.740029i
$385$	6.60161	−	14.4555i	0.336449	−	0.736721i
$386$	1.78568	+	5.03218i	0.0908885	+	0.256131i
$387$	9.22934	−	15.4938i	0.469154	−	0.787592i
$388$	7.81939	+	1.38107i	0.396970	+	0.0701132i
$389$	−10.0985	+	15.7136i	−0.512015	+	0.796711i	−0.996967	−	0.0778299i	$-0.975201\pi$
$389$	−10.0985	+	15.7136i	−0.512015	+	0.796711i	0.484951	+	0.874541i	$0.338837\pi$
$390$	0.822785	−	1.10134i	0.0416633	−	0.0557685i
$391$	2.92904	−	4.04589i	0.148128	−	0.204609i
$392$	−5.44273	+	1.73729i	−0.274900	+	0.0877462i
$393$	8.63856	+	2.37795i	0.435757	+	0.119952i
$394$	4.48406	+	4.62999i	0.225904	+	0.233255i
$395$	3.82338	+	8.37202i	0.192375	+	0.421242i
$396$	0.0720760	+	37.1064i	0.00362195	+	1.86467i
$397$	−9.62384	+	21.0733i	−0.483007	+	1.05764i	0.498619	+	0.866821i	$0.333841\pi$
$397$	−9.62384	+	21.0733i	−0.483007	+	1.05764i	−0.981626	+	0.190816i	$0.938887\pi$
$398$	−1.56916	+	17.9062i	−0.0786550	+	0.897556i
$399$	5.61830	+	34.8630i	0.281267	+	1.74533i
$400$	16.0390	+	5.84807i	0.801948	+	0.292403i
$401$	−3.90003	+	3.37939i	−0.194758	+	0.168759i	−0.746781	−	0.665070i	$-0.768402\pi$
$401$	−3.90003	+	3.37939i	−0.194758	+	0.168759i	0.552023	+	0.833829i	$0.313856\pi$
$402$	1.19871	−	16.9921i	0.0597864	−	0.847489i
$403$	1.34731	+	2.09646i	0.0671145	+	0.104432i
$404$	−0.577776	−	1.38048i	−0.0287454	−	0.0686814i
$405$	7.67876	+	0.576045i	0.381561	+	0.0286239i
$406$	33.2832	−	17.4882i	1.65182	−	0.867925i
$407$	9.61677	−	11.0983i	0.476686	−	0.550125i
$408$	−5.01694	+	0.929277i	−0.248375	+	0.0460060i
$409$	−26.2754	−	7.71516i	−1.29924	−	0.381490i	−0.442278	−	0.896878i	$-0.645830\pi$
$409$	−26.2754	−	7.71516i	−1.29924	−	0.381490i	−0.856957	+	0.515388i	$0.827648\pi$
$410$	3.50005	−	6.17283i	0.172855	−	0.304855i
$411$	−8.58641	+	4.09889i	−0.423536	+	0.202183i
$412$	−20.4678	−	25.2085i	−1.00838	−	1.24193i
$413$		−	26.8539i		−	1.32140i
$414$	14.9164	−	13.8384i	0.733101	−	0.680120i
$415$			5.01889i			0.246368i
$416$	−2.03306	+	3.10417i	−0.0996792	+	0.152194i
$417$	7.22267	−	3.44788i	0.353696	−	0.168843i
$418$	51.6474	+	29.2846i	2.52616	+	1.43235i
$419$	17.4577	+	5.12604i	0.852863	+	0.250423i	0.678811	−	0.734313i	$-0.262496\pi$
$419$	17.4577	+	5.12604i	0.852863	+	0.250423i	0.174052	+	0.984736i	$0.444314\pi$
$420$	8.04051	+	3.81913i	0.392337	+	0.186354i
$421$	19.1871	−	22.1431i	0.935121	−	1.07919i	−0.0615860	−	0.998102i	$-0.519616\pi$
$421$	19.1871	−	22.1431i	0.935121	−	1.07919i	0.996707	−	0.0810855i	$-0.0258387\pi$
$422$	13.3011	+	25.3143i	0.647487	+	1.23228i
$423$	−6.32889	+	7.82579i	−0.307721	+	0.380503i
$424$	4.26960	−	6.99798i	0.207350	−	0.339852i
$425$	2.40319	+	3.73943i	0.116572	+	0.181389i
$426$	16.6045	+	1.17137i	0.804492	+	0.0567532i
$427$	−21.6768	+	18.7831i	−1.04901	+	0.908976i
$428$	0.274160	−	8.55962i	0.0132520	−	0.413745i
$429$	1.11792	+	6.93698i	0.0539738	+	0.334921i
$430$	−7.24603	−	0.634987i	−0.349434	−	0.0306218i
$431$	7.55309	−	16.5390i	0.363820	−	0.796654i	−0.635871	−	0.771795i	$-0.719359\pi$
$431$	7.55309	−	16.5390i	0.363820	−	0.796654i	0.999691	−	0.0248588i	$-0.00791362\pi$
$432$	−20.7828	−	0.272180i	−0.999914	−	0.0130953i
$433$	9.70544	+	21.2519i	0.466413	+	1.02130i	0.985979	+	0.166872i	$0.0533667\pi$
$433$	9.70544	+	21.2519i	0.466413	+	1.02130i	−0.519565	+	0.854431i	$0.673906\pi$
$434$	−11.5911	+	11.2258i	−0.556391	+	0.538856i
$435$	−12.6478	−	3.48158i	−0.606415	−	0.166929i
$436$	10.1158	−	30.7708i	0.484461	−	1.47365i
$437$	−7.42764	−	31.6975i	−0.355312	−	1.51630i
$438$	−6.16677	−	4.60705i	−0.294660	−	0.220133i
$439$	9.65939	−	15.0303i	0.461018	−	0.717357i	−0.530449	−	0.847717i	$-0.677977\pi$
$439$	9.65939	−	15.0303i	0.461018	−	0.717357i	0.991467	+	0.130359i	$0.0416131\pi$
$440$	13.4647	−	6.53362i	0.641904	−	0.311478i
$441$	−5.20617	−	3.10122i	−0.247913	−	0.147677i
$442$	−0.910540	+	0.323106i	−0.0433100	+	0.0153686i
$443$	10.7572	−	23.5549i	0.511088	−	1.11913i	−0.461617	−	0.887079i	$-0.652731\pi$
$443$	10.7572	−	23.5549i	0.511088	−	1.11913i	0.972705	−	0.232047i	$-0.0745422\pi$
$444$	6.13486	+	5.47956i	0.291148	+	0.260048i
$445$	−0.530591	+	3.69034i	−0.0251524	+	0.174939i
$446$	−12.1148	+	15.6546i	−0.573650	+	0.741268i
$447$	−4.13010	+	6.67304i	−0.195347	+	0.315624i
$448$	−22.2979	−	8.94887i	−1.05347	−	0.422794i
$449$	−13.8425	−	21.5394i	−0.653269	−	1.01651i	−0.996997	−	0.0774376i	$-0.975326\pi$
$449$	−13.8425	−	21.5394i	−0.653269	−	1.01651i	0.343728	−	0.939069i	$-0.388310\pi$
$450$	6.63142	+	16.8494i	0.312608	+	0.794289i
$451$	10.2181	+	34.7997i	0.481153	+	1.63866i
$452$	−11.3181	+	22.8202i	−0.532360	+	1.07337i
$453$	4.32155	+	1.88557i	0.203044	+	0.0885919i
$454$	8.91940	−	1.79125i	0.418608	−	0.0840676i
$455$	1.61730	+	0.474882i	0.0758202	+	0.0222628i
$456$	−16.8365	+	28.6796i	−0.788440	+	1.34304i
$457$	−0.411985	−	2.86542i	−0.0192719	−	0.134039i	0.977914	−	0.209008i	$-0.0670233\pi$
$457$	−0.411985	−	2.86542i	−0.0192719	−	0.134039i	−0.997186	+	0.0749689i	$0.976114\pi$
$458$	0.342192	+	6.17148i	0.0159896	+	0.288374i
$459$	−4.26510	−	3.33111i	−0.199078	−	0.155483i
$460$	−7.64214	−	2.99087i	−0.356317	−	0.139450i
$461$		−	32.1440i		−	1.49709i	−0.663082	−	0.748547i	$-0.730752\pi$
$461$		−	32.1440i		−	1.49709i	0.663082	−	0.748547i	$-0.269248\pi$
$462$	−42.6123	+	15.9407i	−1.98250	+	0.741629i
$463$	−9.18179	+	1.32014i	−0.426714	+	0.0613522i	−0.352326	−	0.935877i	$-0.614609\pi$
$463$	−9.18179	+	1.32014i	−0.426714	+	0.0613522i	−0.0743877	+	0.997229i	$0.523700\pi$
$464$	34.6538	+	7.27167i	1.60876	+	0.337579i
$465$	5.62919	−	0.0955955i	0.261047	−	0.00443314i
$466$	5.33193	+	26.5499i	0.246997	+	1.22990i
$467$	−9.27056	+	10.6988i	−0.428990	+	0.495081i	−0.928555	−	0.371196i	$-0.878948\pi$
$467$	−9.27056	+	10.6988i	−0.428990	+	0.495081i	0.499564	+	0.866277i	$0.333493\pi$
$468$	−3.89462	+	0.567686i	−0.180029	+	0.0262413i
$469$	20.0398	−	5.88421i	0.925352	−	0.271708i
$470$	3.95230	+	0.926275i	0.182306	+	0.0427259i
$471$	−4.84951	+	5.79252i	−0.223454	+	0.266905i
$472$	16.1103	−	19.4948i	0.741538	−	0.897322i
$473$	28.0967	−	24.3459i	1.29189	−	1.11943i
$474$	9.18424	−	24.6971i	0.421846	−	1.13438i
$475$	28.6778	+	4.12325i	1.31583	+	0.189188i
$476$	−3.21199	−	5.36838i	−0.147221	−	0.246059i
$477$	8.55942	−	1.52893i	0.391909	−	0.0700047i
$478$	0.305058	+	0.859680i	0.0139530	+	0.0393209i
$479$	−3.13032	−	6.85445i	−0.143028	−	0.313188i	0.824538	−	0.565807i	$-0.191435\pi$
$479$	−3.13032	−	6.85445i	−0.143028	−	0.313188i	−0.967566	+	0.252619i	$0.918708\pi$
$480$	3.54588	+	7.59622i	0.161847	+	0.346718i
$481$	1.31035	+	0.842113i	0.0597470	+	0.0383971i
$482$	14.8769	+	20.5509i	0.677623	+	0.936068i
$483$	22.2779	+	11.2281i	1.01368	+	0.510895i
$484$	−17.0187	+	51.7682i	−0.773576	+	2.35310i
$485$	1.83649	−	2.85764i	0.0833909	−	0.129759i
$486$	−14.3949	−	16.6969i	−0.652964	−	0.757389i
$487$	17.7648	−	8.11292i	0.805001	−	0.367632i	0.0299669	−	0.999551i	$-0.490460\pi$
$487$	17.7648	−	8.11292i	0.805001	−	0.367632i	0.775034	+	0.631919i	$0.217733\pi$
$488$	−27.0048	+	0.631272i	−1.22245	+	0.0285764i
$489$	14.4403	+	1.82652i	0.653013	+	0.0825979i
$490$	−0.213366	+	2.43479i	−0.00963891	+	0.109993i
$491$	0.0785666	−	0.546443i	0.00354566	−	0.0246606i	−0.987972	−	0.154634i	$-0.950580\pi$
$491$	0.0785666	−	0.546443i	0.00354566	−	0.0246606i	0.991517	+	0.129973i	$0.0414892\pi$
$492$	−19.5764	+	5.42976i	−0.882572	+	0.244792i
$493$	6.03746	+	6.96760i	0.271914	+	0.313805i
$494$	−2.29490	+	5.86439i	−0.103252	+	0.263851i
$495$	14.6551	+	6.10021i	0.658697	+	0.274184i
$496$	−15.1493	+	1.19567i	−0.680223	+	0.0536871i
$497$	5.75000	+	19.5827i	0.257923	+	0.878405i
$498$	10.1503	−	10.1700i	0.454846	−	0.455730i
$499$	−24.5305	−	21.2558i	−1.09814	−	0.951540i	−0.0990834	−	0.995079i	$-0.531591\pi$
$499$	−24.5305	−	21.2558i	−1.09814	−	0.951540i	−0.999052	+	0.0435396i	$0.986137\pi$
$500$	10.7639	−	11.6470i	0.481378	−	0.520868i
$501$	30.2588	−	0.513859i	1.35186	−	0.0229575i
$502$	1.84465	−	3.25331i	0.0823309	−	0.145202i
$503$	−1.00345	−	6.97917i	−0.0447418	−	0.311186i	−0.999887	−	0.0150473i	$-0.995210\pi$
$503$	−1.00345	−	6.97917i	−0.0447418	−	0.311186i	0.955145	−	0.296138i	$-0.0956990\pi$
$504$	−8.56901	−	24.0002i	−0.381694	−	1.06905i
$505$	−0.640203			−0.0284886
$506$	38.1548	−	17.4232i	1.69619	−	0.774556i
$507$	20.7823	−	6.48752i	0.922976	−	0.288121i
$508$	−14.3689	−	17.6970i	−0.637517	−	0.785177i
$509$	−27.8076	+	3.99812i	−1.23255	+	0.177214i	−0.727640	−	0.685959i	$-0.759383\pi$
$509$	−27.8076	+	3.99812i	−1.23255	+	0.177214i	−0.504908	+	0.863173i	$0.668474\pi$
$510$	−0.461902	+	2.13330i	−0.0204534	+	0.0944642i
$511$	2.65902	−	9.05580i	0.117628	−	0.400605i
$512$	−10.8187	−	19.8735i	−0.478122	−	0.878294i
$513$	−34.6137	+	6.79129i	−1.52823	+	0.299843i
$514$	−19.7475	−	37.5829i	−0.871024	−	1.65771i
$515$	−13.3285	+	3.91360i	−0.587324	+	0.172454i
$516$	13.3988	+	15.9412i	0.589849	+	0.701773i
$517$	−17.4544	+	11.2172i	−0.767642	+	0.493333i
$518$	−3.67536	+	9.39201i	−0.161486	+	0.412661i
$519$	8.98087	−	14.5105i	0.394216	−	0.636938i
$520$	0.889198	+	1.31500i	0.0389939	+	0.0576666i
$521$	22.2557	+	3.19989i	0.975041	+	0.140190i	0.611376	−	0.791340i	$-0.290616\pi$
$521$	22.2557	+	3.19989i	0.975041	+	0.140190i	0.363665	+	0.931530i	$0.381525\pi$
$522$	18.5876	+	32.6340i	0.813559	+	1.42835i
$523$	−38.9853	−	17.8040i	−1.70471	−	0.778515i	−0.997435	−	0.0715755i	$-0.977197\pi$
$523$	−38.9853	−	17.8040i	−1.70471	−	0.778515i	−0.707274	−	0.706939i	$-0.750075\pi$
$524$	−5.86921	+	8.52006i	−0.256398	+	0.372200i
$525$	−16.5295	+	14.8217i	−0.721407	+	0.646873i
$526$	−2.34806	+	2.27406i	−0.102380	+	0.0991535i
$527$	−3.32863	−	2.13918i	−0.144997	−	0.0931842i
$528$	−40.4979	−	13.9918i	−1.76245	−	0.608916i
$529$	−21.2161	−	8.88128i	−0.922439	−	0.386143i
$530$	−2.05641	−	2.84072i	−0.0893246	−	0.123393i
$531$	26.8088	−	0.910802i	1.16340	−	0.0395254i
$532$	−40.1542	−	7.09208i	−1.74090	−	0.307480i
$533$	−3.49930	+	1.59808i	−0.151571	+	0.0692204i
$534$	8.53858	−	6.40485i	0.369501	−	0.277165i
$535$	−3.33257	−	1.52194i	−0.144080	−	0.0657990i
$536$	18.0781	+	7.75066i	0.780856	+	0.334778i
$537$	−5.51988	−	34.2523i	−0.238201	−	1.47809i
$538$	14.6234	−	18.8963i	0.630460	−	0.814678i
$539$	−8.18064	−	9.44096i	−0.352365	−	0.406651i
$540$	−3.54000	+	8.15651i	−0.152337	+	0.351000i
$541$	−11.9724	+	7.69419i	−0.514734	+	0.330799i	−0.772086	−	0.635519i	$-0.780786\pi$
$541$	−11.9724	+	7.69419i	−0.514734	+	0.330799i	0.257352	+	0.966318i	$0.417150\pi$
$542$	−39.9360	−	9.35955i	−1.71540	−	0.402027i
$543$	8.88596	−	5.92624i	0.381333	−	0.254319i
$544$	0.888853	−	5.82416i	0.0381093	−	0.249709i
$545$	−10.4722	−	9.07423i	−0.448580	−	0.388697i
$546$	−2.31681	−	4.23313i	−0.0991502	−	0.181161i
$547$	−1.43473	+	4.88623i	−0.0613445	+	0.208920i	−0.984462	−	0.175598i	$-0.943814\pi$
$547$	−1.43473	+	4.88623i	−0.0613445	+	0.208920i	0.923117	+	0.384518i	$0.125632\pi$
$548$	−1.21461	−	10.9192i	−0.0518855	−	0.466443i
$549$	−19.4867	−	21.0033i	−0.831671	−	0.896398i
$550$	2.06656	+	37.2707i	0.0881183	+	1.58923i
$551$	60.0919			2.56000
$552$	9.43686	+	21.5162i	0.401659	+	0.915789i
$553$	32.3072			1.37384
$554$	−1.49218	−	26.9116i	−0.0633965	−	1.14337i
$555$	3.17564	−	1.51595i	0.134799	−	0.0643487i
$556$	1.02170	+	9.18491i	0.0433296	+	0.389527i
$557$	−3.75116	+	12.7753i	−0.158942	+	0.541306i	0.841058	+	0.540945i	$0.181933\pi$
$557$	−3.75116	+	12.7753i	−0.158942	+	0.541306i	−1.00000		0.000361186i	$0.999885\pi$
$558$	−11.6000	−	11.1909i	−0.491069	−	0.473747i
$559$	2.98014	+	2.58230i	0.126046	+	0.109220i
$560$	−7.21428	+	7.32130i	−0.304859	+	0.309382i
$561$	−6.18999	−	9.28144i	−0.261342	−	0.391863i
$562$	15.8839	+	3.72260i	0.670020	+	0.157028i
$563$	2.30627	−	1.48215i	0.0971975	−	0.0624650i	−0.491139	−	0.871081i	$-0.663419\pi$
$563$	2.30627	−	1.48215i	0.0971975	−	0.0624650i	0.588337	+	0.808616i	$0.299783\pi$
$564$	−6.13543	−	9.87017i	−0.258348	−	0.415609i
$565$	7.13613	+	8.23553i	0.300219	+	0.346471i
$566$	15.8014	−	20.4185i	0.664181	−	0.858251i
$567$	13.0365	−	23.6784i	0.547481	−	0.994399i
$568$	−7.57388	+	17.6658i	−0.317793	+	0.741240i
$569$	−14.6735	−	6.70118i	−0.615147	−	0.280928i	0.0833736	−	0.996518i	$-0.473431\pi$
$569$	−14.6735	−	6.70118i	−0.615147	−	0.280928i	−0.698520	+	0.715590i	$0.746158\pi$
$570$	8.53695	+	11.3810i	0.357574	+	0.476697i
$571$	−6.19784	+	2.83046i	−0.259371	+	0.118451i	−0.540857	−	0.841114i	$-0.681900\pi$
$571$	−6.19784	+	2.83046i	−0.259371	+	0.118451i	0.281486	+	0.959565i	$0.409173\pi$
$572$	−7.98982	−	1.41117i	−0.334071	−	0.0590041i
$573$	0.611398	+	0.168301i	0.0255415	+	0.00703085i
$574$	−14.6062	−	20.1769i	−0.609649	−	0.842169i
$575$	14.2403	−	14.7027i	0.593861	−	0.613146i
$576$	8.17754	−	22.5639i	0.340731	−	0.940161i
$577$	15.7108	+	10.0967i	0.654051	+	0.420333i	0.825145	−	0.564922i	$-0.191094\pi$
$577$	15.7108	+	10.0967i	0.654051	+	0.420333i	−0.171093	+	0.985255i	$0.554730\pi$
$578$	−16.1680	+	15.6585i	−0.672501	+	0.651306i
$579$	−4.36587	−	4.86892i	−0.181440	−	0.202346i
$580$	8.59317	−	12.4743i	0.356812	−	0.517967i
$581$	16.0254	+	7.31855i	0.664845	+	0.303625i
$582$	−9.50073	+	2.07642i	−0.393818	+	0.0860705i
$583$	17.7418	+	2.55089i	0.734792	+	0.105647i
$584$	7.36313	−	4.97892i	0.304688	−	0.206029i
$585$	−0.419229	+	1.63068i	−0.0173330	+	0.0674205i
$586$	6.23983	−	15.9453i	0.257765	−	0.658692i
$587$	−38.8740	+	24.9828i	−1.60450	+	1.03115i	−0.639542	+	0.768756i	$0.720876\pi$
$587$	−38.8740	+	24.9828i	−1.60450	+	1.03115i	−0.964961	+	0.262395i	$0.915488\pi$
$588$	5.35652	−	4.50222i	0.220899	−	0.185668i
$589$	−24.7452	+	7.26585i	−1.01961	+	0.299384i
$590$	−5.03233	−	9.57742i	−0.207178	−	0.394296i
$591$	−7.23529	−	3.15689i	−0.297620	−	0.129857i
$592$	−8.30265	+	4.61327i	−0.341237	+	0.189604i
$593$	7.87838	−	26.8313i	0.323526	−	1.10183i	−0.623806	−	0.781579i	$-0.714415\pi$
$593$	7.87838	−	26.8313i	0.323526	−	1.10183i	0.947333	−	0.320251i	$-0.103767\pi$
$594$	−17.3592	−	41.9999i	−0.712255	−	1.72328i
$595$	−2.64901	+	0.380871i	−0.108599	+	0.0156142i
$596$	−5.71193	−	7.03491i	−0.233970	−	0.288161i
$597$	−6.55998	−	21.0145i	−0.268482	−	0.860064i
$598$	2.40516	+	3.74278i	0.0983545	+	0.153054i
$599$	29.1574			1.19134			0.595670	−	0.803229i	$-0.296887\pi$
$599$	29.1574			1.19134			0.595670	+	0.803229i	$0.296887\pi$
$600$	−20.8916	+	0.843487i	−0.852897	+	0.0344352i
$601$	3.40000	+	23.6475i	0.138689	+	0.964603i	0.933712	+	0.358024i	$0.116549\pi$
$601$	3.40000	+	23.6475i	0.138689	+	0.964603i	−0.795023	+	0.606579i	$0.792542\pi$
$602$	−12.5937	+	22.2107i	−0.513280	+	0.905241i
$603$	6.55400	+	19.8065i	0.266900	+	0.806583i
$604$	−3.69522	+	3.99836i	−0.150356	+	0.162691i
$605$	17.6182	+	15.2663i	0.716283	+	0.620663i
$606$	1.29728	+	1.29476i	0.0526982	+	0.0525960i
$607$	9.29262	+	31.6477i	0.377176	+	1.28454i	0.901409	+	0.432968i	$0.142534\pi$
$607$	9.29262	+	31.6477i	0.377176	+	1.28454i	−0.524234	+	0.851574i	$0.675648\pi$
$608$	−24.8955	−	29.2380i	−1.00965	−	1.18576i
$609$	−29.5597	+	35.3077i	−1.19782	+	1.43074i
$610$	−4.21113	+	10.7611i	−0.170503	+	0.435705i
$611$	−1.44114	−	1.66317i	−0.0583024	−	0.0672846i
$612$	5.25041	−	3.38866i	0.212235	−	0.136978i
$613$	5.86768	−	40.8106i	0.236993	−	1.64833i	−0.429684	−	0.902979i	$-0.641375\pi$
$613$	5.86768	−	40.8106i	0.236993	−	1.64833i	0.666678	−	0.745346i	$-0.267716\pi$
$614$	1.44895	−	16.5344i	0.0584748	−	0.667274i
$615$	−1.09060	+	8.62218i	−0.0439771	+	0.347680i
$616$	−1.22773	−	52.5202i	−0.0494665	−	2.11610i
$617$	−43.8149	+	20.0096i	−1.76392	+	0.805556i	−0.780278	+	0.625433i	$0.784922\pi$
$617$	−43.8149	+	20.0096i	−1.76392	+	0.805556i	−0.983644	+	0.180123i	$0.942350\pi$
$618$	34.9232	+	19.0255i	1.40482	+	0.765318i
$619$	25.5383	−	39.7384i	1.02647	−	1.59722i	0.248796	−	0.968556i	$-0.419965\pi$
$619$	25.5383	−	39.7384i	1.02647	−	1.59722i	0.777676	−	0.628665i	$-0.216398\pi$
$620$	−2.03028	+	6.17580i	−0.0815380	+	0.248026i
$621$	−10.4536	+	22.6213i	−0.419488	+	0.907761i
$622$	17.3820	+	24.0115i	0.696954	+	0.962772i
$623$	11.0096	+	7.07544i	0.441090	+	0.283471i
$624$	0.857655	−	4.46298i	0.0343337	−	0.178662i
$625$	6.04649	+	13.2400i	0.241859	+	0.529598i
$626$	5.40526	+	15.2325i	0.216038	+	0.608812i
$627$	−72.1408	−	9.12490i	−2.88103	−	0.364414i
$628$	−4.47879	−	7.48566i	−0.178723	−	0.298710i
$629$	−2.44792	−	0.351958i	−0.0976050	−	0.0140335i
$630$	−10.8864	−	0.582413i	−0.433725	−	0.0232039i
$631$	−28.4017	+	24.6102i	−1.13065	+	0.979716i	−0.999932	−	0.0117031i	$-0.996275\pi$
$631$	−28.4017	+	24.6102i	−1.13065	+	0.979716i	−0.130721	+	0.991419i	$0.541729\pi$
$632$	23.4537	+	19.3819i	0.932937	+	0.770969i
$633$	−26.8541	−	22.4824i	−1.06736	−	0.893594i
$634$	15.0640	+	3.53044i	0.598266	+	0.140212i
$635$	−9.35694	+	2.74745i	−0.371319	+	0.109029i
$636$	−1.57812	+	9.91521i	−0.0625766	+	0.393164i
$637$	0.867698	−	1.00138i	0.0343794	−	0.0396760i
$638$	15.2439	+	75.9057i	0.603511	+	3.00514i
$639$	−19.3547	+	6.40452i	−0.765662	+	0.253359i
$640$	−9.62949	+	0.986937i	−0.380639	+	0.0390121i
$641$	19.0403	−	2.73758i	0.752047	−	0.108128i	0.244378	−	0.969680i	$-0.421416\pi$
$641$	19.0403	−	2.73758i	0.752047	−	0.108128i	0.507669	+	0.861552i	$0.330507\pi$
$642$	3.67497	+	9.82384i	0.145040	+	0.387716i
$643$			18.9309i			0.746560i	0.927719	+	0.373280i	$0.121767\pi$
$643$			18.9309i			0.746560i	−0.927719	+	0.373280i	$0.878233\pi$
$644$	−20.6937	+	20.0401i	−0.815445	+	0.789692i
$645$	8.50384	−	2.65460i	0.334838	−	0.104525i
$646$	−0.553549	−	9.98333i	−0.0217791	−	0.392789i
$647$	3.46555	+	24.1034i	0.136245	+	0.947603i	0.937179	+	0.348850i	$0.113428\pi$
$647$	3.46555	+	24.1034i	0.136245	+	0.947603i	−0.800934	+	0.598753i	$0.795663\pi$
$648$	23.6692	−	9.36861i	0.929813	−	0.368034i
$649$	53.0574	+	15.5791i	2.08269	+	0.611532i
$650$	−3.88176	+	0.779561i	−0.152255	+	0.0305769i
$651$	7.90324	−	18.1135i	0.309752	−	0.709922i
$652$	−7.46776	+	15.0569i	−0.292460	+	0.589674i
$653$	−2.28353	−	7.77700i	−0.0893615	−	0.304337i	0.902669	−	0.430336i	$-0.141605\pi$
$653$	−2.28353	−	7.77700i	−0.0893615	−	0.304337i	−0.992030	+	0.125998i	$0.959787\pi$
$654$	2.86850	+	39.5668i	0.112167	+	1.54718i
$655$	2.39286	+	3.72336i	0.0934968	+	0.145484i
$656$	1.50117	−	23.4102i	0.0586110	−	0.914014i
$657$	9.13075	+	2.34740i	0.356224	+	0.0915810i
$658$	8.72085	−	11.2690i	0.339974	−	0.439313i
$659$	−2.82568	+	19.6530i	−0.110073	+	0.765573i	0.857773	+	0.514029i	$0.171848\pi$
$659$	−2.82568	+	19.6530i	−0.110073	+	0.765573i	−0.967846	+	0.251544i	$0.919062\pi$
$660$	−12.2104	+	13.6706i	−0.475288	+	0.532128i
$661$	10.0124	−	21.9241i	0.389438	−	0.852750i	−0.608795	−	0.793328i	$-0.708347\pi$
$661$	10.0124	−	21.9241i	0.389438	−	0.852750i	0.998233	−	0.0594227i	$-0.0189260\pi$
$662$	12.6874	−	4.50214i	0.493110	−	0.174981i
$663$	0.880999	−	0.789975i	0.0342152	−	0.0306801i
$664$	7.24318	+	14.9270i	0.281090	+	0.579279i
$665$	−9.43077	+	14.6746i	−0.365710	+	0.569055i
$666$	−9.50087	−	3.35063i	−0.368151	−	0.129834i
$667$	24.8951	−	34.3877i	0.963942	−	1.33150i
$668$	−10.9135	+	33.1970i	−0.422254	+	1.28443i
$669$	6.43425	−	23.3742i	0.248763	−	0.903698i
$670$	6.04448	−	5.85398i	0.233519	−	0.226159i
$671$	−24.5355	−	53.7254i	−0.947184	−	2.07404i
$672$	29.4254	−	0.245235i	1.13511	−	0.00946015i
$673$	−1.18256	+	2.58945i	−0.0455845	+	0.0998160i	−0.931054	−	0.364881i	$-0.881110\pi$
$673$	−1.18256	+	2.58945i	−0.0455845	+	0.0998160i	0.885470	+	0.464697i	$0.153837\pi$
$674$	−5.46781	−	0.479157i	−0.210612	−	0.0184564i
$675$	−15.3574	−	15.9990i	−0.591107	−	0.615802i
$676$	−0.804791	+	25.1265i	−0.0309535	+	0.966405i
$677$	14.2578	−	12.3544i	0.547971	−	0.474819i	−0.336325	−	0.941746i	$-0.609184\pi$
$677$	14.2578	−	12.3544i	0.547971	−	0.474819i	0.884296	+	0.466926i	$0.154639\pi$
$678$	2.19539	−	31.1203i	0.0843136	−	1.19517i
$679$	−6.44651	−	10.0310i	−0.247394	−	0.384953i
$680$	−2.15157	−	1.31271i	−0.0825088	−	0.0503402i
$681$	−9.26970	+	6.18216i	−0.355215	+	0.236901i
$682$	−15.4552	−	29.4140i	−0.591810	−	1.12632i
$683$	−10.8251	+	12.4928i	−0.414211	+	0.478026i	−0.924065	−	0.382236i	$-0.875154\pi$
$683$	−10.8251	+	12.4928i	−0.414211	+	0.478026i	0.509853	+	0.860261i	$0.329700\pi$
$684$	5.71824	−	40.3272i	0.218642	−	1.54195i
$685$	−4.50960	−	1.32414i	−0.172303	−	0.0505927i
$686$	−18.4000	−	10.4330i	−0.702515	−	0.398332i
$687$	−3.26120	−	6.83162i	−0.124423	−	0.260642i
$688$	−22.4672	+	8.56879i	−0.856554	+	0.326682i
$689$			1.90118i			0.0724291i
$690$	10.0495	−	0.170331i	0.382578	−	0.00648440i
$691$		−	39.6854i		−	1.50970i	−0.655896	−	0.754851i	$-0.727709\pi$
$691$		−	39.6854i		−	1.50970i	0.655896	−	0.754851i	$-0.272291\pi$
$692$	12.4205	+	15.2973i	0.472158	+	0.581518i
$693$	40.8481	−	37.8985i	1.55169	−	1.43965i
$694$	−10.5857	+	18.6694i	−0.401828	+	0.708681i
$695$	3.79336	+	1.11383i	0.143890	+	0.0422500i
$696$	−42.6410	+	7.89831i	−1.61630	+	0.299385i
$697$	3.99984	−	4.61606i	0.151505	−	0.174846i
$698$	−19.6517	+	10.3257i	−0.743827	+	0.390834i
$699$	−18.4021	−	27.5927i	−0.696033	−	1.04365i
$700$	−9.89765	−	23.6484i	−0.374096	−	0.893826i
$701$	−16.6906	−	25.9711i	−0.630395	−	0.980914i	−0.998688	−	0.0512041i	$-0.983694\pi$
$701$	−16.6906	−	25.9711i	−0.630395	−	0.980914i	0.368293	−	0.929710i	$-0.379942\pi$
$702$	4.14743	−	2.45648i	0.156535	−	0.0927140i
$703$	−12.1823	+	10.5560i	−0.459464	+	0.398128i
$704$	30.6169	−	38.8640i	1.15392	−	1.46474i
$705$	−4.90839	+	0.791006i	−0.184861	+	0.0297910i
$706$	−0.0128958	+	0.147158i	−0.000485339	+	0.00553835i
$707$	−0.933543	+	2.04417i	−0.0351095	+	0.0768791i
$708$	−9.17229	+	29.5847i	−0.344716	+	1.11186i
$709$	−0.396746	−	0.868753i	−0.0149001	−	0.0326267i	0.902036	−	0.431662i	$-0.142073\pi$
$709$	−0.396746	−	0.868753i	−0.0149001	−	0.0326267i	−0.916936	+	0.399035i	$0.869345\pi$
$710$	5.72046	+	5.90662i	0.214685	+	0.221671i
$711$	1.09576	+	32.2529i	0.0410942	+	1.20958i
$712$	3.74778	+	11.7414i	0.140454	+	0.440027i
$713$	−6.09364	+	17.1706i	−0.228209	+	0.643044i
$714$	6.13811	+	4.58564i	0.229713	+	0.171613i
$715$	−1.87652	+	2.91992i	−0.0701779	+	0.109199i
$716$	39.4508	+	6.96784i	1.47434	+	0.260400i
$717$	−0.745850	−	0.831789i	−0.0278543	−	0.0310637i
$718$	8.61888	+	24.2887i	0.321654	+	0.906447i
$719$	−10.6379	+	23.2938i	−0.396728	+	0.868713i	0.600863	+	0.799352i	$0.294824\pi$
$719$	−10.6379	+	23.2938i	−0.396728	+	0.868713i	−0.997592	+	0.0693617i	$0.977904\pi$
$720$	−7.55367	−	6.95383i	−0.281509	−	0.259154i
$721$	−6.93944	+	48.2649i	−0.258438	+	1.79748i
$722$	−30.2899	−	23.4407i	−1.12728	−	0.872372i
$723$	−26.4212	−	16.3527i	−0.982616	−	0.608165i
$724$	3.09405	+	11.9388i	0.114989	+	0.443701i
$725$	20.4257	+	31.7830i	0.758591	+	1.18039i
$726$	−4.82590	−	66.5663i	−0.179106	−	2.47051i
$727$	−1.64883	−	5.61540i	−0.0611517	−	0.208264i	0.923250	−	0.384200i	$-0.125523\pi$
$727$	−1.64883	−	5.61540i	−0.0611517	−	0.208264i	−0.984401	+	0.175937i	$0.943705\pi$
$728$	5.49544	−	0.921686i	0.203675	−	0.0341599i
$729$	24.0807	+	12.2115i	0.891878	+	0.452276i
$730$	−0.748687	−	3.72803i	−0.0277102	−	0.137981i
$731$	−6.00729	−	1.76390i	−0.222188	−	0.0652402i
$732$	30.2967	−	13.2891i	1.11980	−	0.491180i
$733$	−7.12406	−	49.5489i	−0.263133	−	1.83013i	−0.508928	−	0.860809i	$-0.669958\pi$
$733$	−7.12406	−	49.5489i	−0.263133	−	1.83013i	0.245795	−	0.969322i	$-0.420951\pi$
$734$	40.2887	−	2.23390i	1.48708	−	0.0824547i
$735$	−0.891992	−	2.85743i	−0.0329016	−	0.105398i
$736$	−27.0453	+	2.13368i	−0.996902	+	0.0786484i
$737$			43.0078i			1.58421i
$738$	19.6476	−	15.2659i	0.723238	−	0.561946i
$739$	43.3708	−	6.23578i	1.59542	−	0.229387i	0.713455	−	0.700701i	$-0.247129\pi$
$739$	43.3708	−	6.23578i	1.59542	−	0.229387i	0.881966	+	0.471314i	$0.156220\pi$
$740$	0.449217	+	4.03840i	0.0165136	+	0.148454i
$741$	−0.130960	−	7.71163i	−0.00481093	−	0.283294i
$742$	−12.0691	+	2.42380i	−0.443070	+	0.0889803i
$743$	−1.67275	+	1.93046i	−0.0613672	+	0.0708216i	−0.785603	−	0.618731i	$-0.787647\pi$
$743$	−1.67275	+	1.93046i	−0.0613672	+	0.0708216i	0.724236	+	0.689552i	$0.242193\pi$
$744$	16.6041	−	8.40826i	0.608736	−	0.308262i
$745$	−3.71958	+	1.09217i	−0.136275	+	0.0400139i
$746$	−8.37070	+	35.7167i	−0.306473	+	1.30768i
$747$	−6.76270	+	16.2466i	−0.247434	+	0.594434i
$748$	12.4701	−	3.23175i	0.455953	−	0.118165i
$749$	−9.71912	+	8.42166i	−0.355129	+	0.307721i
$750$	−6.77013	+	18.2054i	−0.247210	+	0.664768i
$751$	15.8933	+	2.28512i	0.579956	+	0.0833851i	0.426049	−	0.904700i	$-0.359905\pi$
$751$	15.8933	+	2.28512i	0.579956	+	0.0833851i	0.153907	+	0.988085i	$0.450814\pi$
$752$	13.0915	−	2.94900i	0.477399	−	0.107539i
$753$	−0.574784	+	4.54420i	−0.0209463	+	0.165600i
$754$	−7.73906	+	2.74621i	−0.281840	+	0.100011i
$755$	0.967542	+	2.11862i	0.0352125	+	0.0771045i
$756$	20.8818	+	23.1971i	0.759464	+	0.843669i
$757$	5.70599	+	3.66702i	0.207388	+	0.133280i	0.640212	−	0.768198i	$-0.278847\pi$
$757$	5.70599	+	3.66702i	0.207388	+	0.133280i	−0.432824	+	0.901478i	$0.642483\pi$
$758$	−9.96556	+	7.21411i	−0.361966	+	0.262028i
$759$	−35.1085	+	37.5024i	−1.27436	+	1.36125i
$760$	−15.6500	+	4.99537i	−0.567684	+	0.181201i
$761$	7.81379	−	12.1585i	0.283250	−	0.440745i	−0.670252	−	0.742134i	$-0.733814\pi$
$761$	7.81379	−	12.1585i	0.283250	−	0.440745i	0.953501	+	0.301389i	$0.0974503\pi$
$762$	24.5169	+	13.3564i	0.888155	+	0.483850i
$763$	−44.2447	+	20.2059i	−1.60177	+	0.731502i
$764$	−0.415396	+	0.603011i	−0.0150285	+	0.0218162i
$765$	−0.470076	−	2.63164i	−0.0169956	−	0.0951471i
$766$	27.2024	+	2.38381i	0.982861	+	0.0861305i
$767$	−0.834710	+	5.80553i	−0.0301396	+	0.209626i
$768$	21.5087	+	17.4750i	0.776129	+	0.630574i
$769$	−25.5846	−	29.5262i	−0.922604	−	1.06474i	−0.997715	−	0.0675667i	$-0.978476\pi$
$769$	−25.5846	−	29.5262i	−0.922604	−	1.06474i	0.0751106	−	0.997175i	$-0.476069\pi$
$770$	−20.9287	−	8.18998i	−0.754217	−	0.295147i
$771$	39.8690	+	33.3785i	1.43585	+	1.20210i
$772$	6.96586	−	2.91544i	0.250707	−	0.104929i
$773$	11.1614	+	38.0124i	0.401449	+	1.36721i	0.874008	+	0.485912i	$0.161512\pi$
$773$	11.1614	+	38.0124i	0.401449	+	1.36721i	−0.472559	+	0.881299i	$0.656670\pi$
$774$	−22.6005	−	11.8192i	−0.812357	−	0.424831i
$775$	−12.2540	−	10.6182i	−0.440178	−	0.381416i
$776$	1.33792	−	11.1495i	0.0480286	−	0.400242i
$777$	−0.209737	−	12.3504i	−0.00752426	−	0.443069i
$778$	22.9790	+	13.0293i	0.823836	+	0.467122i
$779$	−5.66572	−	39.4059i	−0.202995	−	1.41186i
$780$	−1.61956	−	1.07558i	−0.0579896	−	0.0385120i
$781$	−42.0269			−1.50384
$782$	−5.94230	−	3.81916i	−0.212496	−	0.136573i
$783$	−36.2509	−	28.3125i	−1.29550	−	1.01180i
$784$	2.87926	+	7.54937i	0.102831	+	0.269620i
$785$	−3.69378	+	0.531086i	−0.131837	+	0.0189553i
$786$	2.68142	−	12.3842i	0.0956433	−	0.441730i
$787$	−8.02196	+	27.3203i	−0.285952	+	0.973863i	0.683779	+	0.729689i	$0.260335\pi$
$787$	−8.02196	+	27.3203i	−0.285952	+	0.973863i	−0.969731	+	0.244174i	$0.921483\pi$
$788$	6.18667	−	6.69420i	0.220391	−	0.238471i
$789$	1.60099	−	3.66932i	0.0569968	−	0.130631i
$790$	11.5223	−	6.05426i	0.409946	−	0.215401i
$791$	36.7020	−	10.7767i	1.30497	−	0.383175i
$792$	52.3902	−	3.00698i	1.86161	−	0.106848i
$793$	5.27013	−	3.38691i	0.187148	−	0.120273i
$794$	30.5099	+	11.9394i	1.08276	+	0.423713i
$795$	3.65216	+	2.26041i	0.129529	+	0.0801685i
$796$	25.4072	+	0.813780i	0.900534	+	0.0288437i
$797$	−24.9642	−	3.58931i	−0.884278	−	0.127140i	−0.314811	−	0.949154i	$-0.601941\pi$
$797$	−24.9642	−	3.58931i	−0.884278	−	0.127140i	−0.569467	+	0.822014i	$0.692850\pi$
$798$	48.7882	−	10.6629i	1.72708	−	0.377461i
$799$	3.17836	+	1.45151i	0.112442	+	0.0513506i
$800$	7.00198	−	23.1056i	0.247557	−	0.816906i
$801$	−6.69012	+	11.2310i	−0.236384	+	0.396830i
$802$	5.07720	+	5.24243i	0.179282	+	0.185117i
$803$	16.3496	+	10.5073i	0.576966	+	0.370794i
$804$	−24.0875	−	0.362256i	−0.849499	−	0.0127758i
$805$	4.49053	+	11.4762i	0.158270	+	0.404483i
$806$	2.85481	−	2.06661i	0.100556	−	0.0727931i
$807$	−7.76663	+	28.2144i	−0.273398	+	0.993194i
$808$	−1.90406	+	0.923929i	−0.0669847	+	0.0325037i
$809$	−37.0030	+	16.8987i	−1.30096	+	0.594128i	−0.940863	−	0.338788i	$-0.889983\pi$
$809$	−37.0030	+	16.8987i	−1.30096	+	0.594128i	−0.360095	+	0.932916i	$0.617256\pi$
$810$	0.212200	−	10.8879i	0.00745596	−	0.382560i
$811$	42.2278	+	19.2848i	1.48282	+	0.677181i	0.982088	−	0.188421i	$-0.0603370\pi$
$811$	42.2278	+	19.2848i	1.48282	+	0.677181i	0.500732	+	0.865602i	$0.333064\pi$
$812$	−27.3000	−	45.6281i	−0.958042	−	1.60123i
$813$	49.5968	−	7.99273i	1.73944	−	0.280317i
$814$	−16.4243	−	12.7104i	−0.575671	−	0.445499i
$815$	4.70846	+	5.43385i	0.164930	+	0.190339i
$816$	1.70498	+	7.01138i	0.0596861	+	0.245447i
$817$	−34.3301	+	22.0626i	−1.20106	+	0.771873i
$818$	−8.83694	+	37.7061i	−0.308976	+	1.31836i
$819$	4.59548	+	3.71647i	0.160579	+	0.129864i
$820$	−8.99035	−	4.45893i	−0.313957	−	0.155713i
$821$	−0.913894	−	0.791893i	−0.0318951	−	0.0276373i	0.638767	−	0.769400i	$-0.279445\pi$
$821$	−0.913894	−	0.791893i	−0.0318951	−	0.0276373i	−0.670662	+	0.741763i	$0.733990\pi$
$822$	6.46008	+	11.8035i	0.225321	+	0.411694i
$823$	−1.35090	+	4.60074i	−0.0470894	+	0.160372i	−0.979681	−	0.200561i	$-0.935723\pi$
$823$	−1.35090	+	4.60074i	−0.0470894	+	0.160372i	0.932592	+	0.360933i	$0.117542\pi$
$824$	−33.9930	+	30.8751i	−1.18420	+	1.07559i
$825$	−19.6950	−	41.2573i	−0.685691	−	1.43640i
$826$	−37.9190	+	2.10250i	−1.31937	+	0.0731554i
$827$	−32.6893			−1.13672			−0.568359	−	0.822781i	$-0.692421\pi$
$827$	−32.6893			−1.13672			−0.568359	+	0.822781i	$0.692421\pi$
$828$	−20.7083	−	19.9791i	−0.719663	−	0.694323i
$829$	15.0857			0.523947			0.261974	−	0.965075i	$-0.415627\pi$
$829$	15.0857			0.523947			0.261974	+	0.965075i	$0.415627\pi$
$830$	7.08690	−	0.392949i	0.245990	−	0.0136395i
$831$	14.2209	+	29.7903i	0.493319	+	1.03341i
$832$	4.54240	+	2.62774i	0.157479	+	0.0911005i
$833$	−0.592701	+	2.01855i	−0.0205359	+	0.0699387i
$834$	−5.43405	−	9.92878i	−0.188166	−	0.343806i
$835$	11.2979	+	9.78972i	0.390981	+	0.338787i
$836$	37.3074	−	75.2213i	1.29030	−	2.60158i
$837$	18.3510	+	7.27559i	0.634305	+	0.251481i
$838$	5.87136	−	25.0524i	0.202823	−	0.865419i
$839$	−15.9907	+	10.2766i	−0.552061	+	0.354788i	−0.786740	−	0.617285i	$-0.788233\pi$
$839$	−15.9907	+	10.2766i	−0.552061	+	0.354788i	0.234679	+	0.972073i	$0.424596\pi$
$840$	4.76326	−	11.6526i	0.164348	−	0.402052i
$841$	32.3239	+	37.3038i	1.11462	+	1.28634i
$842$	−32.7692	−	25.3593i	−1.12930	−	0.873941i
$843$	−19.7263	+	3.17897i	−0.679410	+	0.109490i
$844$	34.7036	−	20.7637i	1.19455	−	0.714716i
$845$	9.78269	+	4.46760i	0.336535	+	0.153690i
$846$	11.5459	+	8.32397i	0.396955	+	0.286184i
$847$	74.4364	−	33.9939i	2.55766	−	1.16805i
$848$	−10.2157	−	5.48097i	−0.350810	−	0.188217i
$849$	−8.39224	+	30.4871i	−0.288021	+	1.04632i
$850$	5.09209	−	3.68618i	0.174657	−	0.126435i
$851$	0.993772	+	11.3445i	0.0340661	+	0.388885i
$852$	0.353994	−	23.5381i	0.0121276	−	0.806401i
$853$	25.2127	+	16.2032i	0.863265	+	0.554787i	0.895686	−	0.444688i	$-0.146685\pi$
$853$	25.2127	+	16.2032i	0.863265	+	0.554787i	−0.0324208	+	0.999474i	$0.510322\pi$
$854$	28.2197	+	29.1380i	0.965658	+	0.997082i
$855$	−14.9697	−	8.91719i	−0.511954	−	0.304961i
$856$	−12.1080	+	0.283040i	−0.413844	+	0.00967412i
$857$	12.5945	+	5.75171i	0.430219	+	0.196475i	0.618742	−	0.785594i	$-0.287643\pi$
$857$	12.5945	+	5.75171i	0.430219	+	0.196475i	−0.188523	+	0.982069i	$0.560370\pi$
$858$	9.70781	−	2.12168i	0.331419	−	0.0724330i
$859$	10.5092	+	1.51099i	0.358568	+	0.0515543i	0.319245	−	0.947672i	$-0.396571\pi$
$859$	10.5092	+	1.51099i	0.358568	+	0.0515543i	0.0393230	+	0.999227i	$0.487480\pi$
$860$	−0.329309	+	10.2814i	−0.0112293	+	0.350594i
$861$	25.9404	+	16.0551i	0.884047	+	0.547158i
$862$	−23.9451	−	9.37040i	−0.815574	−	0.319157i
$863$	20.8770	−	13.4169i	0.710663	−	0.456715i	−0.134715	−	0.990884i	$-0.543012\pi$
$863$	20.8770	−	13.4169i	0.710663	−	0.456715i	0.845378	+	0.534169i	$0.179375\pi$
$864$	1.24284	+	29.3676i	0.0422823	+	0.999106i
$865$	8.08818	−	2.37490i	0.275006	−	0.0807492i
$866$	29.2488	−	15.3684i	0.993915	−	0.522240i
$867$	11.0239	−	25.2658i	0.374393	−	0.858072i
$868$	16.7588	+	15.4883i	0.568832	+	0.525706i
$869$	−18.7427	+	63.8319i	−0.635803	+	2.16535i
$870$	−3.92590	+	18.1318i	−0.133100	+	0.614726i
$871$	−4.51529	+	0.649201i	−0.152995	+	0.0219973i
$872$	−44.2418	−	11.8748i	−1.49821	−	0.402133i
$873$	9.79544	−	6.77588i	0.331525	−	0.229329i
$874$	−44.1768	+	12.9699i	−1.49430	+	0.438713i
$875$	−23.8152			−0.805099
$876$	−6.02254	+	9.06846i	−0.203483	+	0.306395i
$877$	−3.42224	−	23.8022i	−0.115561	−	0.803744i	−0.962350	−	0.271814i	$-0.912376\pi$
$877$	−3.42224	−	23.8022i	−0.115561	−	0.803744i	0.846789	−	0.531929i	$-0.178533\pi$
$878$	−21.9797	−	12.4627i	−0.741780	−	0.420596i
$879$	0.356079	+	20.9679i	0.0120103	+	0.707230i
$880$	−10.2800	−	18.5012i	−0.346538	−	0.623675i
$881$	0.843788	+	0.731146i	0.0284279	+	0.0246329i	0.668959	−	0.743299i	$-0.266740\pi$
$881$	0.843788	+	0.731146i	0.0284279	+	0.0246329i	−0.640531	+	0.767932i	$0.721286\pi$
$882$	−3.97144	+	7.59415i	−0.133725	+	0.255708i
$883$	−7.09601	−	24.1668i	−0.238800	−	0.813278i	−0.988464	−	0.151459i	$-0.951603\pi$
$883$	−7.09601	−	24.1668i	−0.238800	−	0.813278i	0.749664	−	0.661819i	$-0.230215\pi$
$884$	0.527530	+	1.26043i	0.0177427	+	0.0423927i
$885$	10.1600	+	8.50598i	0.341524	+	0.285925i
$886$	−34.1028	−	13.3454i	−1.14570	−	0.448347i
$887$	25.3470	+	29.2520i	0.851069	+	0.982186i	0.999978	−	0.00666455i	$-0.00212141\pi$
$887$	25.3470	+	29.2520i	0.851069	+	0.982186i	−0.148908	+	0.988851i	$0.547576\pi$
$888$	7.25706	−	9.09172i	0.243531	−	0.305098i
$889$	−4.87166	+	33.8832i	−0.163390	+	1.13640i
$890$	5.25247	+	0.460286i	0.176063	+	0.0154288i
$891$	39.2202	+	39.4940i	1.31393	+	1.32310i
$892$	23.0536	+	15.8809i	0.771890	+	0.531732i
$893$	20.7164	−	9.46085i	0.693247	−	0.316595i
$894$	9.74599	+	5.30943i	0.325955	+	0.177574i
$895$	9.26557	−	14.4175i	0.309714	−	0.481924i
$896$	−10.8904	+	32.1862i	−0.363823	+	1.07527i
$897$	−4.46725	−	3.11986i	−0.149157	−	0.104169i
$898$	−29.3308	+	21.2327i	−0.978781	+	0.708543i
$899$	−28.2914	−	18.1818i	−0.943571	−	0.606396i
$900$	23.2729	−	10.6831i	0.775764	−	0.356103i
$901$	−1.25396	−	2.74579i	−0.0417755	−	0.0914755i
$902$	48.3388	−	17.1531i	1.60950	−	0.571134i
$903$	3.92412	−	31.0238i	0.130586	−	1.03241i
$904$	33.1093	+	14.1950i	1.10120	+	0.472119i
$905$	5.22239	+	0.750866i	0.173598	+	0.0249596i
$906$	2.32416	−	6.24985i	0.0772151	−	0.207637i
$907$	39.5423	−	34.2636i	1.31298	−	1.13770i	0.332068	−	0.943255i	$-0.392254\pi$
$907$	39.5423	−	34.2636i	1.31298	−	1.13770i	0.980913	−	0.194449i	$-0.0622918\pi$
$908$	−3.22766	−	12.4543i	−0.107114	−	0.413312i
$909$	−2.07240	−	0.862641i	−0.0687371	−	0.0286120i
$910$	0.543930	−	2.32088i	0.0180311	−	0.0769364i
$911$	−21.2618	+	6.24303i	−0.704435	+	0.206841i	−0.614281	−	0.789087i	$-0.710554\pi$
$911$	−21.2618	+	6.24303i	−0.704435	+	0.206841i	−0.0901538	+	0.995928i	$0.528736\pi$
$912$	41.8150	+	21.5284i	1.38463	+	0.712877i
$913$	−23.7568	+	27.4168i	−0.786235	+	0.907364i
$914$	−4.01384	+	0.806087i	−0.132766	+	0.0266630i
$915$	−0.240310	−	14.1508i	−0.00794441	−	0.467811i
$916$	8.68762	−	0.966380i	0.287047	−	0.0319301i
$917$	15.3780	−	2.21102i	0.507826	−	0.0730144i
$918$	−4.36974	+	6.28332i	−0.144223	+	0.207380i
$919$			12.7379i			0.420184i	0.977682	+	0.210092i	$0.0673764\pi$
$919$			12.7379i			0.420184i	−0.977682	+	0.210092i	$0.932624\pi$
$920$	−3.62491	+	11.0252i	−0.119510	+	0.363490i
$921$	6.05742	+	19.4045i	0.199599	+	0.639401i
$922$	−45.3887	+	2.51668i	−1.49480	+	0.0828824i
$923$	−0.634393	−	4.41230i	−0.0208813	−	0.145233i
$924$	25.8453	+	58.9224i	0.850247	+	1.93840i
$925$	−9.72399	−	2.85522i	−0.319723	−	0.0938791i
$926$	2.58298	+	12.8617i	0.0848820	+	0.422663i
$927$	−48.4190	−	5.29077i	−1.59029	−	0.173772i
$928$	7.55473	−	49.5020i	0.247996	−	1.62498i
$929$	−1.53619	−	5.23177i	−0.0504007	−	0.171649i	0.930447	−	0.366428i	$-0.119419\pi$
$929$	−1.53619	−	5.23177i	−0.0504007	−	0.171649i	−0.980847	+	0.194779i	$0.937601\pi$
$930$	−0.575717	−	7.94118i	−0.0188785	−	0.260402i
$931$	7.41341	+	11.5355i	0.242965	+	0.378060i
$932$	37.0722	−	9.60763i	1.21434	−	0.314708i
$933$	−30.8703	−	19.1064i	−1.01065	−	0.625514i
$934$	15.8330	+	12.2528i	0.518072	+	0.400924i
$935$	0.784285	−	5.45482i	0.0256489	−	0.178392i
$936$	1.10652	+	5.45493i	0.0361678	+	0.178300i
$937$	0.165777	−	0.363001i	0.00541570	−	0.0118587i	−0.906905	−	0.421336i	$-0.861561\pi$
$937$	0.165777	−	0.363001i	0.00541570	−	0.0118587i	0.912321	+	0.409477i	$0.134289\pi$
$938$	−9.87777	−	27.8364i	−0.322521	−	0.908890i
$939$	−13.2156	−	14.7383i	−0.431273	−	0.480966i
$940$	0.998501	−	5.65335i	0.0325675	−	0.184392i
$941$	20.8492	−	32.4420i	0.679664	−	1.05758i	−0.314454	−	0.949273i	$-0.601821\pi$
$941$	20.8492	−	32.4420i	0.679664	−	1.05758i	0.994118	−	0.108305i	$-0.0345423\pi$
$942$	8.55898	+	6.39421i	0.278867	+	0.208335i
$943$	−24.8973	−	13.0830i	−0.810768	−	0.426042i
$944$	−28.7889	−	21.2222i	−0.936999	−	0.690723i
$945$	12.6031	−	4.40920i	0.409980	−	0.143431i
$946$	−36.5773	−	37.7676i	−1.18923	−	1.22793i
$947$	20.1715	+	44.1695i	0.655487	+	1.43532i	0.886668	+	0.462406i	$0.153014\pi$
$947$	20.1715	+	44.1695i	0.655487	+	1.43532i	−0.231182	+	0.972911i	$0.574259\pi$
$948$	−35.5925	−	11.0349i	−1.15599	−	0.358398i
$949$	−0.856337	+	1.87512i	−0.0277979	+	0.0608688i
$950$	3.57691	−	40.8172i	0.116050	−	1.32428i
$951$	−18.7080	+	3.01487i	−0.606650	+	0.0977640i
$952$	−7.32891	+	4.95578i	−0.237531	+	0.160618i
$953$	24.4487	−	21.1849i	0.791971	−	0.686247i	−0.161786	−	0.986826i	$-0.551725\pi$
$953$	24.4487	−	21.1849i	0.791971	−	0.686247i	0.953757	+	0.300579i	$0.0971799\pi$
$954$	−2.82906	−	11.9666i	−0.0915943	−	0.387432i
$955$	0.169356	+	0.263523i	0.00548022	+	0.00852739i
$956$	1.19002	−	0.498064i	0.0384881	−	0.0161085i
$957$	−52.6113	−	78.8868i	−1.70068	−	2.55005i
$958$	−9.43371	+	4.95682i	−0.304789	+	0.160148i
$959$	−10.8039	+	12.4684i	−0.348876	+	0.402624i
$960$	10.4486	−	5.60168i	0.337226	−	0.180793i
$961$	−15.8958	−	4.66742i	−0.512767	−	0.150562i
$962$	1.08651	−	1.91621i	0.0350304	−	0.0617811i
$963$	−8.73714	−	9.41713i	−0.281550	−	0.303463i
$964$	27.8540	−	22.6158i	0.897118	−	0.728407i
$965$		−	3.23045i		−	0.103992i
$966$	14.1103	−	32.3365i	0.453992	−	1.04041i
$967$		−	5.73456i		−	0.184411i	−0.995740	−	0.0922056i	$-0.970608\pi$
$967$		−	5.73456i		−	0.184411i	0.995740	−	0.0922056i	$-0.0293917\pi$
$968$	74.4314	+	19.9780i	2.39232	+	0.642117i
$969$	5.27550	+	11.0512i	0.169474	+	0.355016i
$970$	−4.17890	−	2.36948i	−0.134176	−	0.0760793i
$971$	−38.4989	−	11.3043i	−1.23549	−	0.362772i	−0.402170	−	0.915565i	$-0.631744\pi$
$971$	−38.4989	−	11.3043i	−1.23549	−	0.362772i	−0.833319	+	0.552792i	$0.813562\pi$
$972$	−22.4498	+	21.6335i	−0.720078	+	0.693894i
$973$	9.08795	−	10.4881i	0.291346	−	0.336232i
$974$	−12.8467	−	24.4495i	−0.411635	−	0.783414i
$975$	4.03421	−	2.69050i	0.129198	−	0.0861651i
$976$	3.00570	+	38.0826i	0.0962102	+	1.21900i
$977$	−22.2599	−	34.6370i	−0.712157	−	1.10814i	−0.989099	−	0.147251i	$-0.952958\pi$
$977$	−22.2599	−	34.6370i	−0.712157	−	1.10814i	0.276943	−	0.960886i	$-0.410679\pi$
$978$	1.44853	−	20.5334i	0.0463190	−	0.656585i
$979$	−20.3666	+	17.6478i	−0.650919	+	0.564025i
$980$	3.45474	+	0.110653i	0.110357	+	0.00353469i
$981$	−21.6725	−	43.4849i	−0.691950	−	1.38837i
$982$	−0.777753	−	0.0681564i	−0.0248191	−	0.00217496i
$983$	9.01957	−	19.7501i	0.287680	−	0.629931i	−0.709523	−	0.704683i	$-0.751089\pi$
$983$	9.01957	−	19.7501i	0.287680	−	0.629931i	0.997202	+	0.0747522i	$0.0238166\pi$
$984$	9.19978	+	27.2176i	0.293278	+	0.867666i
$985$	−1.61989	−	3.54707i	−0.0516141	−	0.113019i
$986$	9.36587	−	9.07068i	0.298270	−	0.288869i
$987$	−4.63172	+	16.8260i	−0.147429	+	0.535577i
$988$	8.46046	+	2.78136i	0.269163	+	0.0884867i
$989$	−1.59703	+	28.7856i	−0.0507827	+	0.915329i
$990$	7.46637	−	21.1712i	0.237297	−	0.672866i
$991$	10.0671	−	15.6647i	0.319792	−	0.497606i	−0.643724	−	0.765258i	$-0.722611\pi$
$991$	10.0671	−	15.6647i	0.319792	−	0.497606i	0.963516	+	0.267652i	$0.0862477\pi$
$992$	2.87444	+	21.2978i	0.0912635	+	0.676207i
$993$	−12.2758	+	11.0075i	−0.389560	+	0.349312i
$994$	27.2015	−	9.65247i	0.862779	−	0.306158i
$995$	4.51751	−	9.89196i	0.143215	−	0.313596i
$996$	−15.1553	−	13.5364i	−0.480213	−	0.428918i
$997$	−6.34939	+	44.1610i	−0.201087	+	1.39859i	0.599978	+	0.800016i	$0.295176\pi$
$997$	−6.34939	+	44.1610i	−0.201087	+	1.39859i	−0.801066	+	0.598577i	$0.795733\pi$
$998$	−28.0935	+	36.3023i	−0.889285	+	1.14913i
$999$	12.3225	−	0.628272i	0.389868	−	0.0198776i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	276.2.o.a.71.22	yes	440
3.2	odd	2	inner	276.2.o.a.71.23	yes	440
4.3	odd	2	inner	276.2.o.a.71.39	yes	440
12.11	even	2	inner	276.2.o.a.71.6	yes	440
23.12	even	11	inner	276.2.o.a.35.6	✓	440
69.35	odd	22	inner	276.2.o.a.35.39	yes	440
92.35	odd	22	inner	276.2.o.a.35.23	yes	440
276.35	even	22	inner	276.2.o.a.35.22	yes	440

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
276.2.o.a.35.6	✓	440	23.12	even	11	inner
276.2.o.a.35.22	yes	440	276.35	even	22	inner
276.2.o.a.35.23	yes	440	92.35	odd	22	inner
276.2.o.a.35.39	yes	440	69.35	odd	22	inner
276.2.o.a.71.6	yes	440	12.11	even	2	inner
276.2.o.a.71.22	yes	440	1.1	even	1	trivial
276.2.o.a.71.23	yes	440	3.2	odd	2	inner
276.2.o.a.71.39	yes	440	4.3	odd	2	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 $\F_{q}$

Level:	\( N \)	\(=\)	\( 276 = 2^{2} \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	276.o (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.0782940 - 1.41204i) q^{2} +(0.746168 + 1.56308i) q^{3} +(-1.98774 + 0.221109i) q^{4} +(-0.241048 + 0.820935i) q^{5} +(2.14872 - 1.17600i) q^{6} +(2.26976 + 1.96676i) q^{7} +(0.467844 + 2.78947i) q^{8} +(-1.88647 + 2.33265i) q^{9} +O(q^{10})\)	\(q+(-0.0782940 - 1.41204i) q^{2} +(0.746168 + 1.56308i) q^{3} +(-1.98774 + 0.221109i) q^{4} +(-0.241048 + 0.820935i) q^{5} +(2.14872 - 1.17600i) q^{6} +(2.26976 + 1.96676i) q^{7} +(0.467844 + 2.78947i) q^{8} +(-1.88647 + 2.33265i) q^{9} +(1.17807 + 0.276097i) q^{10} +(-5.20266 + 3.34354i) q^{11} +(-1.82880 - 2.94202i) q^{12} +(-0.429564 - 0.495744i) q^{13} +(2.59944 - 3.35899i) q^{14} +(-1.46305 + 0.235777i) q^{15} +(3.90222 - 0.879016i) q^{16} +(0.947379 + 0.432654i) q^{17} +(3.44150 + 2.48114i) q^{18} +(6.17497 - 2.82001i) q^{19} +(0.297625 - 1.68510i) q^{20} +(-1.38059 + 5.01536i) q^{21} +(5.12857 + 7.08460i) q^{22} +(0.944431 - 4.70192i) q^{23} +(-4.01108 + 2.81269i) q^{24} +(3.59044 + 2.30743i) q^{25} +(-0.666380 + 0.645378i) q^{26} +(-5.05375 - 1.20816i) q^{27} +(-4.94656 - 3.40754i) q^{28} +(8.05217 + 3.67730i) q^{29} +(0.447476 + 2.04744i) q^{30} +(-3.76043 - 0.540668i) q^{31} +(-1.54673 - 5.44129i) q^{32} +(-9.10830 - 5.63734i) q^{33} +(0.536752 - 1.37162i) q^{34} +(-2.16170 + 1.38924i) q^{35} +(3.23403 - 5.05381i) q^{36} +(-2.27837 + 0.668989i) q^{37} +(-4.46545 - 8.49854i) q^{38} +(0.454362 - 1.04135i) q^{39} +(-2.40274 - 0.288326i) q^{40} +(1.65224 - 5.62701i) q^{41} +(7.19000 + 1.55678i) q^{42} +(-5.95026 + 0.855518i) q^{43} +(9.60224 - 7.79645i) q^{44} +(-1.46022 - 2.11095i) q^{45} +(-6.71326 - 0.965447i) q^{46} +3.35489 q^{47} +(4.28569 + 5.44361i) q^{48} +(0.287469 + 1.99939i) q^{49} +(2.97709 - 5.25052i) q^{50} +(0.0306301 + 1.80367i) q^{51} +(0.963476 + 0.890429i) q^{52} +(-2.19039 - 1.89798i) q^{53} +(-1.31030 + 7.23071i) q^{54} +(-1.49074 - 5.07700i) q^{55} +(-4.42431 + 7.25156i) q^{56} +(9.01548 + 7.54779i) q^{57} +(4.56208 - 11.6579i) q^{58} +(-5.85538 - 6.75747i) q^{59} +(2.85604 - 0.792158i) q^{60} +(-1.35914 + 9.45306i) q^{61} +(-0.469028 + 5.35222i) q^{62} +(-8.86958 + 1.58433i) q^{63} +(-7.56224 + 2.61007i) q^{64} +(0.510519 - 0.233146i) q^{65} +(-7.24706 + 13.3027i) q^{66} +(3.75974 - 5.85028i) q^{67} +(-1.97881 - 0.650528i) q^{68} +(8.05420 - 2.03220i) q^{69} +(2.13092 + 2.94365i) q^{70} +(5.71684 + 3.67399i) q^{71} +(-7.38941 - 4.17092i) q^{72} +(-1.30546 - 2.85857i) q^{73} +(1.12303 + 3.16478i) q^{74} +(-0.927644 + 7.33389i) q^{75} +(-11.6507 + 6.97080i) q^{76} +(-18.3847 - 2.64332i) q^{77} +(-1.50601 - 0.560048i) q^{78} +(8.12972 - 7.04444i) q^{79} +(-0.219009 + 3.41536i) q^{80} +(-1.88249 - 8.80092i) q^{81} +(-8.07495 - 1.89247i) q^{82} +(5.62837 - 1.65264i) q^{83} +(1.63530 - 10.2745i) q^{84} +(-0.583545 + 0.673447i) q^{85} +(1.67390 + 8.33505i) q^{86} +(0.260338 + 15.3301i) q^{87} +(-11.7607 - 12.9484i) q^{88} +(4.31320 - 0.620144i) q^{89} +(-2.86643 + 2.22718i) q^{90} -1.97007i q^{91} +(-0.837646 + 9.55502i) q^{92} +(-1.96080 - 6.28130i) q^{93} +(-0.262668 - 4.73726i) q^{94} +(0.826583 + 5.74901i) q^{95} +(7.35107 - 6.47779i) q^{96} +(-3.80939 - 1.11854i) q^{97} +(2.80072 - 0.562459i) q^{98} +(2.01532 - 18.4434i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 440 q - 22 q^{4} - 8 q^{6} - 18 q^{9}+O(q^{10}) \) 440 * q - 22 * q^4 - 8 * q^6 - 18 * q^9	\( 440 q - 22 q^{4} - 8 q^{6} - 18 q^{9} - 30 q^{10} - 18 q^{12} - 36 q^{13} - 30 q^{16} - 10 q^{18} - 22 q^{21} - 48 q^{22} - 14 q^{24} - 8 q^{25} - 34 q^{28} - 21 q^{30} - 6 q^{33} - 32 q^{34} + 22 q^{36} - 36 q^{37} - 168 q^{40} + q^{42} - 44 q^{45} - 110 q^{46} - 6 q^{48} - 16 q^{49} - 94 q^{52} + 21 q^{54} - 46 q^{57} - 116 q^{58} - 47 q^{60} - 68 q^{61} - 28 q^{64} - 20 q^{66} - 22 q^{69} - 44 q^{70} - 23 q^{72} - 36 q^{73} - 74 q^{76} + 134 q^{78} - 130 q^{81} + 36 q^{82} + 105 q^{84} - 60 q^{85} + 38 q^{88} + 162 q^{90} - 332 q^{93} - 40 q^{94} + 225 q^{96} - 36 q^{97}+O(q^{100}) \) 440 * q - 22 * q^4 - 8 * q^6 - 18 * q^9 - 30 * q^10 - 18 * q^12 - 36 * q^13 - 30 * q^16 - 10 * q^18 - 22 * q^21 - 48 * q^22 - 14 * q^24 - 8 * q^25 - 34 * q^28 - 21 * q^30 - 6 * q^33 - 32 * q^34 + 22 * q^36 - 36 * q^37 - 168 * q^40 + q^42 - 44 * q^45 - 110 * q^46 - 6 * q^48 - 16 * q^49 - 94 * q^52 + 21 * q^54 - 46 * q^57 - 116 * q^58 - 47 * q^60 - 68 * q^61 - 28 * q^64 - 20 * q^66 - 22 * q^69 - 44 * q^70 - 23 * q^72 - 36 * q^73 - 74 * q^76 + 134 * q^78 - 130 * q^81 + 36 * q^82 + 105 * q^84 - 60 * q^85 + 38 * q^88 + 162 * q^90 - 332 * q^93 - 40 * q^94 + 225 * q^96 - 36 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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