LMFDB - Embedded newform 370.2.ba.a.283.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(17,370)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(36))

chi = DirichletCharacter(H, H._module([9, 7]))

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

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

chi := DirichletCharacter("370.17");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.ba (of order $36$, degree $12$, 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:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$108$
Relative dimension:	$9$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			283.8
Character	$\chi$	$=$	370.283
Dual form			370.2.ba.a.17.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.173648 - 0.984808i) q^{2} +(2.02303 + 1.41654i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(0.955671 - 2.02156i) q^{5} +(1.74632 - 1.74632i) q^{6} +(-0.403702 + 4.61433i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(1.06001 + 2.91234i) q^{9} +O(q^{10})$	\(q+(0.173648 - 0.984808i) q^{2} +(2.02303 + 1.41654i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(0.955671 - 2.02156i) q^{5} +(1.74632 - 1.74632i) q^{6} +(-0.403702 + 4.61433i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(1.06001 + 2.91234i) q^{9} +(-1.82489 - 1.29219i) q^{10} +(3.32491 + 1.91964i) q^{11} +(-1.41654 - 2.02303i) q^{12} +(0.741170 + 0.269764i) q^{13} +(4.47413 + 1.19884i) q^{14} +(4.79697 - 2.73593i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-2.39958 - 6.59278i) q^{17} +(3.05217 - 0.538179i) q^{18} +(-0.733335 + 1.04731i) q^{19} +(-1.58945 + 1.57278i) q^{20} +(-7.35310 + 8.76308i) q^{21} +(2.46784 - 2.94106i) q^{22} +(-2.41504 - 4.18296i) q^{23} +(-2.23828 + 1.04373i) q^{24} +(-3.17339 - 3.86389i) q^{25} +(0.394368 - 0.683066i) q^{26} +(-0.0634406 + 0.236764i) q^{27} +(1.95755 - 4.19798i) q^{28} +(-1.04655 - 3.90578i) q^{29} +(-1.86138 - 5.19919i) q^{30} +(5.00868 + 5.00868i) q^{31} +(0.766044 - 0.642788i) q^{32} +(4.00716 + 8.59337i) q^{33} +(-6.90930 + 1.21830i) q^{34} +(8.94233 + 5.22589i) q^{35} -3.09925i q^{36} +(-1.77617 + 5.81766i) q^{37} +(0.904057 + 0.904057i) q^{38} +(1.11728 + 1.59564i) q^{39} +(1.27288 + 1.83841i) q^{40} +(1.15402 - 3.17063i) q^{41} +(7.35310 + 8.76308i) q^{42} -5.67627 q^{43} +(-2.46784 - 2.94106i) q^{44} +(6.90048 + 0.640379i) q^{45} +(-4.53878 + 1.65198i) q^{46} +(-3.90255 - 1.04568i) q^{47} +(0.639197 + 2.38551i) q^{48} +(-14.2354 - 2.51009i) q^{49} +(-4.35624 + 2.45422i) q^{50} +(4.48453 - 16.7365i) q^{51} +(-0.604207 - 0.506990i) q^{52} +(-0.181549 - 2.07511i) q^{53} +(0.222150 + 0.103590i) q^{54} +(7.05818 - 4.88696i) q^{55} +(-3.79428 - 2.65678i) q^{56} +(-2.96712 + 1.07994i) q^{57} +(-4.02818 + 0.352420i) q^{58} +(0.224023 + 2.56059i) q^{59} +(-5.44342 + 0.930268i) q^{60} +(-1.71242 - 3.67230i) q^{61} +(5.80233 - 4.06284i) q^{62} +(-13.8664 + 3.71550i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(1.25366 - 1.24051i) q^{65} +(9.15865 - 2.45405i) q^{66} +(-0.777026 - 0.0679809i) q^{67} +7.01589i q^{68} +(1.03965 - 11.8833i) q^{69} +(6.69931 - 7.89901i) q^{70} +(2.78364 + 15.7868i) q^{71} +(-3.05217 - 0.538179i) q^{72} +(3.29091 - 3.29091i) q^{73} +(5.42085 + 2.75941i) q^{74} +(-0.946502 - 12.3120i) q^{75} +(1.04731 - 0.733335i) q^{76} +(-10.2001 + 14.5673i) q^{77} +(1.76541 - 0.823225i) q^{78} +(-9.12276 - 0.798138i) q^{79} +(2.03152 - 0.934309i) q^{80} +(6.65876 - 5.58737i) q^{81} +(-2.92207 - 1.68706i) q^{82} +(-15.0894 - 7.03631i) q^{83} +(9.90680 - 5.71969i) q^{84} +(-15.6209 - 1.44965i) q^{85} +(-0.985674 + 5.59003i) q^{86} +(3.41550 - 9.38400i) q^{87} +(-3.32491 + 1.91964i) q^{88} +(16.1869 - 1.41617i) q^{89} +(1.82891 - 6.68445i) q^{90} +(-1.54399 + 3.31110i) q^{91} +(0.838733 + 4.75669i) q^{92} +(3.03771 + 17.2277i) q^{93} +(-1.70747 + 3.66168i) q^{94} +(1.41637 + 2.48336i) q^{95} +(2.46027 - 0.215246i) q^{96} +(-1.68861 + 0.974922i) q^{97} +(-4.94391 + 13.5833i) q^{98} +(-2.06622 + 11.7181i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 108 q - 6 q^{3} + 6 q^{5} - 54 q^{8}+O(q^{10}) $ 108 * q - 6 * q^3 + 6 * q^5 - 54 * q^8	$ 108 q - 6 q^{3} + 6 q^{5} - 54 q^{8} - 12 q^{10} + 36 q^{11} - 6 q^{12} + 6 q^{13} + 12 q^{14} + 24 q^{15} + 12 q^{19} - 6 q^{20} - 42 q^{21} - 6 q^{22} - 6 q^{24} - 18 q^{25} - 6 q^{26} + 6 q^{27} - 12 q^{30} + 6 q^{33} - 54 q^{35} + 12 q^{37} + 48 q^{38} - 12 q^{40} + 48 q^{41} + 42 q^{42} + 6 q^{44} - 90 q^{45} + 6 q^{46} - 12 q^{47} - 12 q^{49} - 12 q^{50} - 12 q^{51} + 6 q^{52} + 36 q^{53} - 18 q^{54} + 36 q^{57} + 6 q^{58} + 24 q^{59} - 54 q^{60} - 36 q^{61} + 54 q^{62} - 96 q^{63} - 54 q^{64} - 18 q^{65} - 42 q^{67} - 96 q^{69} - 12 q^{70} - 48 q^{71} + 84 q^{73} + 42 q^{74} + 252 q^{75} - 6 q^{76} - 66 q^{77} - 24 q^{78} + 66 q^{79} + 6 q^{80} - 108 q^{81} + 36 q^{82} + 48 q^{83} - 36 q^{85} + 108 q^{87} - 36 q^{88} - 66 q^{89} + 6 q^{90} - 18 q^{91} - 12 q^{92} - 12 q^{93} + 18 q^{94} + 90 q^{95} + 12 q^{96} - 72 q^{97} - 24 q^{98} - 42 q^{99}+O(q^{100}) $ 108 * q - 6 * q^3 + 6 * q^5 - 54 * q^8 - 12 * q^10 + 36 * q^11 - 6 * q^12 + 6 * q^13 + 12 * q^14 + 24 * q^15 + 12 * q^19 - 6 * q^20 - 42 * q^21 - 6 * q^22 - 6 * q^24 - 18 * q^25 - 6 * q^26 + 6 * q^27 - 12 * q^30 + 6 * q^33 - 54 * q^35 + 12 * q^37 + 48 * q^38 - 12 * q^40 + 48 * q^41 + 42 * q^42 + 6 * q^44 - 90 * q^45 + 6 * q^46 - 12 * q^47 - 12 * q^49 - 12 * q^50 - 12 * q^51 + 6 * q^52 + 36 * q^53 - 18 * q^54 + 36 * q^57 + 6 * q^58 + 24 * q^59 - 54 * q^60 - 36 * q^61 + 54 * q^62 - 96 * q^63 - 54 * q^64 - 18 * q^65 - 42 * q^67 - 96 * q^69 - 12 * q^70 - 48 * q^71 + 84 * q^73 + 42 * q^74 + 252 * q^75 - 6 * q^76 - 66 * q^77 - 24 * q^78 + 66 * q^79 + 6 * q^80 - 108 * q^81 + 36 * q^82 + 48 * q^83 - 36 * q^85 + 108 * q^87 - 36 * q^88 - 66 * q^89 + 6 * q^90 - 18 * q^91 - 12 * q^92 - 12 * q^93 + 18 * q^94 + 90 * q^95 + 12 * q^96 - 72 * q^97 - 24 * q^98 - 42 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{29}{36}\right)$	$e\left(\frac{3}{4}\right)$

Coefficient data

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

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

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

$2$	0.173648	−	0.984808i	0.122788	−	0.696364i
$2$	0.173648	−	0.984808i	0.122788	−	0.696364i
$3$	2.02303	+	1.41654i	1.16800	+	0.817841i	0.986210	−	0.165497i	$-0.0529227\pi$
$3$	2.02303	+	1.41654i	1.16800	+	0.817841i	0.181788	+	0.983338i	$0.441812\pi$
$4$	−0.939693	−	0.342020i	−0.469846	−	0.171010i
$5$	0.955671	−	2.02156i	0.427389	−	0.904068i
$5$	0.955671	−	2.02156i	0.427389	−	0.904068i
$6$	1.74632	−	1.74632i	0.712931	−	0.712931i
$7$	−0.403702	+	4.61433i	−0.152585	+	1.74405i	0.405344	+	0.914164i	$0.367152\pi$
$7$	−0.403702	+	4.61433i	−0.152585	+	1.74405i	−0.557929	+	0.829889i	$0.688404\pi$
$8$	−0.500000	+	0.866025i	−0.176777	+	0.306186i
$9$	1.06001	+	2.91234i	0.353335	+	0.970781i
$10$	−1.82489	−	1.29219i	−0.577082	−	0.408627i
$11$	3.32491	+	1.91964i	1.00250	+	0.578793i	0.908987	−	0.416825i	$-0.136857\pi$
$11$	3.32491	+	1.91964i	1.00250	+	0.578793i	0.0935123	+	0.995618i	$0.470191\pi$
$12$	−1.41654	−	2.02303i	−0.408921	−	0.583999i
$13$	0.741170	+	0.269764i	0.205564	+	0.0748190i	0.442750	−	0.896645i	$-0.354003\pi$
$13$	0.741170	+	0.269764i	0.205564	+	0.0748190i	−0.237186	+	0.971464i	$0.576225\pi$
$14$	4.47413	+	1.19884i	1.19576	+	0.320403i
$15$	4.79697	−	2.73593i	1.23857	−	0.706413i
$16$	0.766044	+	0.642788i	0.191511	+	0.160697i
$17$	−2.39958	−	6.59278i	−0.581983	−	1.59898i	−0.784788	−	0.619765i	$-0.787228\pi$
$17$	−2.39958	−	6.59278i	−0.581983	−	1.59898i	0.202805	−	0.979219i	$-0.434994\pi$
$18$	3.05217	−	0.538179i	0.719402	−	0.126850i
$19$	−0.733335	+	1.04731i	−0.168239	+	0.240270i	−0.894414	−	0.447240i	$-0.852407\pi$
$19$	−0.733335	+	1.04731i	−0.168239	+	0.240270i	0.726176	+	0.687509i	$0.241296\pi$
$20$	−1.58945	+	1.57278i	−0.355412	+	0.351685i
$21$	−7.35310	+	8.76308i	−1.60458	+	1.91226i
$22$	2.46784	−	2.94106i	0.526145	−	0.627036i
$23$	−2.41504	−	4.18296i	−0.503570	−	0.872208i	−0.999991	−	0.00412696i	$-0.998686\pi$
$23$	−2.41504	−	4.18296i	−0.503570	−	0.872208i	0.496422	−	0.868082i	$-0.334647\pi$
$24$	−2.23828	+	1.04373i	−0.456887	+	0.213050i
$25$	−3.17339	−	3.86389i	−0.634677	−	0.772777i
$26$	0.394368	−	0.683066i	0.0773420	−	0.133960i
$27$	−0.0634406	+	0.236764i	−0.0122092	+	0.0455652i
$28$	1.95755	−	4.19798i	0.369942	−	0.793343i
$29$	−1.04655	−	3.90578i	−0.194340	−	0.725285i	−0.992437	−	0.122757i	$-0.960827\pi$
$29$	−1.04655	−	3.90578i	−0.194340	−	0.725285i	0.798097	−	0.602529i	$-0.205840\pi$
$30$	−1.86138	−	5.19919i	−0.339839	−	0.949237i
$31$	5.00868	+	5.00868i	0.899585	+	0.899585i	0.995399	−	0.0958141i	$-0.0305454\pi$
$31$	5.00868	+	5.00868i	0.899585	+	0.899585i	−0.0958141	+	0.995399i	$0.530545\pi$
$32$	0.766044	−	0.642788i	0.135419	−	0.113630i
$33$	4.00716	+	8.59337i	0.697556	+	1.49591i
$34$	−6.90930	+	1.21830i	−1.18494	+	0.208936i
$35$	8.94233	+	5.22589i	1.51153	+	0.883336i
$36$		−	3.09925i		−	0.516542i
$37$	−1.77617	+	5.81766i	−0.292001	+	0.956418i
$37$	−1.77617	+	5.81766i	−0.292001	+	0.956418i
$38$	0.904057	+	0.904057i	0.146657	+	0.146657i
$39$	1.11728	+	1.59564i	0.178908	+	0.255507i
$40$	1.27288	+	1.83841i	0.201261	+	0.290679i
$41$	1.15402	−	3.17063i	0.180227	−	0.495170i	−0.816376	−	0.577520i	$-0.804020\pi$
$41$	1.15402	−	3.17063i	0.180227	−	0.495170i	0.996603	+	0.0823505i	$0.0262427\pi$
$42$	7.35310	+	8.76308i	1.13461	+	1.35217i
$43$	−5.67627			−0.865623			−0.432811	−	0.901484i	$-0.642478\pi$
$43$	−5.67627			−0.865623			−0.432811	+	0.901484i	$0.642478\pi$
$44$	−2.46784	−	2.94106i	−0.372041	−	0.443381i
$45$	6.90048	+	0.640379i	1.02866	+	0.0954621i
$46$	−4.53878	+	1.65198i	−0.669207	+	0.243571i
$47$	−3.90255	−	1.04568i	−0.569245	−	0.152529i	−0.0372948	−	0.999304i	$-0.511874\pi$
$47$	−3.90255	−	1.04568i	−0.569245	−	0.152529i	−0.531950	+	0.846776i	$0.678541\pi$
$48$	0.639197	+	2.38551i	0.0922601	+	0.344319i
$49$	−14.2354	−	2.51009i	−2.03363	−	0.358584i
$50$	−4.35624	+	2.45422i	−0.616065	+	0.347079i
$51$	4.48453	−	16.7365i	0.627960	−	2.34358i
$52$	−0.604207	−	0.506990i	−0.0837885	−	0.0703069i
$53$	−0.181549	−	2.07511i	−0.0249376	−	0.285039i	−0.998416	−	0.0562601i	$-0.982082\pi$
$53$	−0.181549	−	2.07511i	−0.0249376	−	0.285039i	0.973479	−	0.228778i	$-0.0734731\pi$
$54$	0.222150	+	0.103590i	0.0302308	+	0.0140969i
$55$	7.05818	−	4.88696i	0.951725	−	0.658957i
$56$	−3.79428	−	2.65678i	−0.507032	−	0.355027i
$57$	−2.96712	+	1.07994i	−0.393005	+	0.143042i
$58$	−4.02818	+	0.352420i	−0.528925	+	0.0462750i
$59$	0.224023	+	2.56059i	0.0291653	+	0.333361i	0.996734	+	0.0807534i	$0.0257326\pi$
$59$	0.224023	+	2.56059i	0.0291653	+	0.333361i	−0.967569	+	0.252608i	$0.918712\pi$
$60$	−5.44342	+	0.930268i	−0.702743	+	0.120097i
$61$	−1.71242	−	3.67230i	−0.219253	−	0.470190i	0.765658	−	0.643247i	$-0.222413\pi$
$61$	−1.71242	−	3.67230i	−0.219253	−	0.470190i	−0.984912	+	0.173057i	$0.944636\pi$
$62$	5.80233	−	4.06284i	0.736897	−	0.515981i
$63$	−13.8664	+	3.71550i	−1.74701	+	0.468109i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	1.25366	−	1.24051i	0.155497	−	0.153867i
$66$	9.15865	−	2.45405i	1.12735	−	0.302073i
$67$	−0.777026	−	0.0679809i	−0.0949288	−	0.00830519i	0.0395924	−	0.999216i	$-0.487394\pi$
$67$	−0.777026	−	0.0679809i	−0.0949288	−	0.00830519i	−0.134521	+	0.990911i	$0.542950\pi$
$68$			7.01589i			0.850802i
$69$	1.03965	−	11.8833i	0.125159	−	1.43058i
$70$	6.69931	−	7.89901i	0.800721	−	0.944112i
$71$	2.78364	+	15.7868i	0.330358	+	1.87355i	0.468984	+	0.883207i	$0.344620\pi$
$71$	2.78364	+	15.7868i	0.330358	+	1.87355i	−0.138626	+	0.990345i	$0.544269\pi$
$72$	−3.05217	−	0.538179i	−0.359701	−	0.0634250i
$73$	3.29091	−	3.29091i	0.385172	−	0.385172i	−0.487789	−	0.872961i	$-0.662197\pi$
$73$	3.29091	−	3.29091i	0.385172	−	0.385172i	0.872961	+	0.487789i	$0.162197\pi$
$74$	5.42085	+	2.75941i	0.630161	+	0.320775i
$75$	−0.946502	−	12.3120i	−0.109293	−	1.42167i
$76$	1.04731	−	0.733335i	0.120135	−	0.0841193i
$77$	−10.2001	+	14.5673i	−1.16241	+	1.66010i
$78$	1.76541	−	0.823225i	0.199894	−	0.0932119i
$79$	−9.12276	−	0.798138i	−1.02639	−	0.0897976i	−0.438495	−	0.898734i	$-0.644488\pi$
$79$	−9.12276	−	0.798138i	−1.02639	−	0.0897976i	−0.587896	+	0.808936i	$0.700044\pi$
$80$	2.03152	−	0.934309i	0.227131	−	0.104459i
$81$	6.65876	−	5.58737i	0.739863	−	0.620818i
$82$	−2.92207	−	1.68706i	−0.322689	−	0.186304i
$83$	−15.0894	−	7.03631i	−1.65628	−	0.772336i	−0.999839	−	0.0179585i	$-0.994283\pi$
$83$	−15.0894	−	7.03631i	−1.65628	−	0.772336i	−0.656441	−	0.754377i	$-0.727939\pi$
$84$	9.90680	−	5.71969i	1.08092	−	0.624070i
$85$	−15.6209	−	1.44965i	−1.69432	−	0.157237i
$86$	−0.985674	+	5.59003i	−0.106288	+	0.602789i
$87$	3.41550	−	9.38400i	0.366180	−	1.00607i
$88$	−3.32491	+	1.91964i	−0.354437	+	0.204634i
$89$	16.1869	−	1.41617i	1.71581	−	0.150114i	0.813602	−	0.581422i	$-0.197504\pi$
$89$	16.1869	−	1.41617i	1.71581	−	0.150114i	0.902204	+	0.431309i	$0.141948\pi$
$90$	1.82891	−	6.68445i	0.192784	−	0.704603i
$91$	−1.54399	+	3.31110i	−0.161854	+	0.347098i
$92$	0.838733	+	4.75669i	0.0874440	+	0.495919i
$93$	3.03771	+	17.2277i	0.314996	+	1.78643i
$94$	−1.70747	+	3.66168i	−0.176112	+	0.377673i
$95$	1.41637	+	2.48336i	0.145317	+	0.254788i
$96$	2.46027	−	0.215246i	0.251100	−	0.0219684i
$97$	−1.68861	+	0.974922i	−0.171453	+	0.0989883i	−0.583271	−	0.812278i	$-0.698227\pi$
$97$	−1.68861	+	0.974922i	−0.171453	+	0.0989883i	0.411818	+	0.911266i	$0.364894\pi$
$98$	−4.94391	+	13.5833i	−0.499410	+	1.37212i
$99$	−2.06622	+	11.7181i	−0.207663	+	1.17772i
$100$	1.66048	+	4.71623i	0.166048	+	0.471623i
$101$	−3.01920	+	1.74314i	−0.300422	+	0.173449i	−0.642632	−	0.766175i	$-0.722158\pi$
$101$	−3.01920	+	1.74314i	−0.300422	+	0.173449i	0.342211	+	0.939623i	$0.388824\pi$
$102$	−15.7035	−	7.32267i	−1.55488	−	0.725052i
$103$	7.15685	+	4.13201i	0.705186	+	0.407139i	0.809276	−	0.587429i	$-0.199860\pi$
$103$	7.15685	+	4.13201i	0.705186	+	0.407139i	−0.104090	+	0.994568i	$0.533193\pi$
$104$	−0.604207	+	0.506990i	−0.0592474	+	0.0497145i
$105$	10.6879	+	23.2393i	1.04303	+	2.26793i
$106$	−2.07511	−	0.181549i	−0.201553	−	0.0176336i
$107$	−10.3608	+	4.83130i	−1.00161	+	0.467060i	−0.853042	−	0.521842i	$-0.825245\pi$
$107$	−10.3608	+	4.83130i	−1.00161	+	0.467060i	−0.148571	+	0.988902i	$0.547467\pi$
$108$	0.140593	−	0.200787i	0.0135285	−	0.0193208i
$109$	4.73816	−	3.31770i	0.453834	−	0.317778i	−0.324213	−	0.945984i	$-0.605100\pi$
$109$	4.73816	−	3.31770i	0.453834	−	0.317778i	0.778047	+	0.628206i	$0.216211\pi$
$110$	−3.58707	−	7.79957i	−0.342014	−	0.743659i
$111$	−11.8342	+	9.25330i	−1.12325	+	0.878284i
$112$	−3.27529	+	3.27529i	−0.309486	+	0.309486i
$113$	4.79672	+	0.845792i	0.451238	+	0.0795654i	0.394649	−	0.918832i	$-0.370866\pi$
$113$	4.79672	+	0.845792i	0.451238	+	0.0795654i	0.0565892	+	0.998398i	$0.481977\pi$
$114$	0.548302	+	3.10957i	0.0513532	+	0.291238i
$115$	−10.7641	+	0.884594i	−1.00376	+	0.0824889i
$116$	−0.352420	+	4.02818i	−0.0327213	+	0.374007i
$117$			2.44449i			0.225993i
$118$	2.56059	+	0.224023i	0.235722	+	0.0206230i
$119$	31.3900	−	8.41092i	2.87752	−	0.771028i
$120$	−0.0291055	+	5.52226i	−0.00265695	+	0.504111i
$121$	1.87003	+	3.23899i	0.170003	+	0.294454i
$122$	−3.91387	+	1.04872i	−0.354345	+	0.0949466i
$123$	6.82595	−	4.77958i	0.615475	−	0.430960i
$124$	−2.99355	−	6.41969i	−0.268829	−	0.576505i
$125$	−10.8438	+	2.72258i	−0.969897	+	0.243515i
$126$	1.25117	+	14.3010i	0.111463	+	1.27403i
$127$	3.36028	−	0.293986i	0.298177	−	0.0260871i	0.0629141	−	0.998019i	$-0.479961\pi$
$127$	3.36028	−	0.293986i	0.298177	−	0.0260871i	0.235262	+	0.971932i	$0.424405\pi$
$128$	−0.939693	+	0.342020i	−0.0830579	+	0.0302306i
$129$	−11.4833	−	8.04067i	−1.01105	−	0.707942i
$130$	−1.00397	−	1.45002i	−0.0880540	−	0.127176i
$131$	−17.9231	−	8.35766i	−1.56595	−	0.730212i	−0.570126	−	0.821557i	$-0.693106\pi$
$131$	−17.9231	−	8.35766i	−1.56595	−	0.730212i	−0.995819	+	0.0913446i	$0.970884\pi$
$132$	−0.826388	−	9.44566i	−0.0719278	−	0.822139i
$133$	−4.53659	−	3.80665i	−0.393372	−	0.330079i
$134$	−0.201877	+	0.753416i	−0.0174395	+	0.0650852i
$135$	0.418003	+	0.354517i	0.0359760	+	0.0305120i
$136$	6.90930	+	1.21830i	0.592468	+	0.104468i
$137$	1.80943	+	6.75290i	0.154590	+	0.576939i	0.999140	+	0.0414620i	$0.0132016\pi$
$137$	1.80943	+	6.75290i	0.154590	+	0.576939i	−0.844550	+	0.535477i	$0.820132\pi$
$138$	−11.5222	−	3.08737i	−0.980835	−	0.262814i
$139$	20.7791	−	7.56296i	1.76246	−	0.641482i	0.762473	−	0.647020i	$-0.223985\pi$
$139$	20.7791	−	7.56296i	1.76246	−	0.641482i	0.999985	+	0.00553760i	$0.00176268\pi$
$140$	−6.61568	−	7.96919i	−0.559127	−	0.673519i
$141$	−6.41372	−	7.64358i	−0.540133	−	0.643705i
$142$	16.0304			1.34524
$143$	1.94648	+	2.31972i	0.162773	+	0.193985i
$144$	−1.06001	+	2.91234i	−0.0883338	+	0.242695i
$145$	−8.89592	−	1.61698i	−0.738766	−	0.134283i
$146$	−2.66945	−	3.81237i	−0.220925	−	0.315514i
$147$	−25.2431	−	25.2431i	−2.08201	−	2.08201i
$148$	3.65881	−	4.85933i	0.300753	−	0.399434i
$149$			13.8841i			1.13743i	0.822535	+	0.568715i	$0.192559\pi$
$149$			13.8841i			1.13743i	−0.822535	+	0.568715i	$0.807441\pi$
$150$	−12.2893	−	1.20583i	−1.00342	−	0.0984560i
$151$	1.30218	−	0.229610i	0.105970	−	0.0186854i	−0.120412	−	0.992724i	$-0.538421\pi$
$151$	1.30218	−	0.229610i	0.105970	−	0.0186854i	0.226382	+	0.974039i	$0.427310\pi$
$152$	−0.540330	−	1.15874i	−0.0438266	−	0.0939864i
$153$	16.6569	−	13.9768i	1.34663	−	1.12996i
$154$	12.5747	+	12.5747i	1.01330	+	1.01330i
$155$	14.9120	−	5.33868i	1.19776	−	0.428813i
$156$	−0.504158	−	1.88154i	−0.0403649	−	0.150644i
$157$	0.334410	−	0.717144i	0.0266888	−	0.0572343i	−0.892511	−	0.451025i	$-0.851059\pi$
$157$	0.334410	−	0.717144i	0.0266888	−	0.0572343i	0.919200	+	0.393790i	$0.128836\pi$
$158$	−2.37016	+	8.84557i	−0.188560	+	0.703716i
$159$	2.57220	−	4.45519i	0.203989	−	0.353320i
$160$	−0.567345	−	2.16290i	−0.0448526	−	0.170992i
$161$	20.2765	−	9.45511i	1.59802	−	0.745167i
$162$	−4.34620	−	7.52784i	−0.341470	−	0.591443i
$163$	−5.36825	+	6.39763i	−0.420474	+	0.501101i	−0.934149	−	0.356884i	$-0.883839\pi$
$163$	−5.36825	+	6.39763i	−0.420474	+	0.501101i	0.513675	+	0.857985i	$0.328284\pi$
$164$	−2.16884	+	2.58472i	−0.169358	+	0.201833i
$165$	21.2015	+	0.111744i	1.65054	+	0.00869926i
$166$	−9.54967	+	13.6383i	−0.741198	+	1.05854i
$167$	−7.18242	+	1.26645i	−0.555793	+	0.0980012i	−0.444487	−	0.895785i	$-0.646614\pi$
$167$	−7.18242	+	1.26645i	−0.555793	+	0.0980012i	−0.111305	+	0.993786i	$0.535503\pi$
$168$	−3.91250	−	10.7495i	−0.301856	−	0.829343i
$169$	−9.48202	−	7.95636i	−0.729386	−	0.612027i
$170$	−4.14016	+	15.1318i	−0.317536	+	1.16056i
$171$	−3.82747	−	1.02557i	−0.292694	−	0.0784271i
$172$	5.33395	+	1.94140i	0.406710	+	0.148030i
$173$	9.11347	+	13.0154i	0.692885	+	0.989542i	0.999291	+	0.0376411i	$0.0119844\pi$
$173$	9.11347	+	13.0154i	0.692885	+	0.989542i	−0.306407	+	0.951901i	$0.599127\pi$
$174$	−8.64834	−	4.99312i	−0.655629	−	0.378528i
$175$	19.1104	−	13.0832i	1.44461	−	0.988997i
$176$	1.31311	+	3.60774i	0.0989794	+	0.271944i
$177$	−3.17398	+	5.49750i	−0.238571	+	0.413218i
$178$	1.41617	−	16.1869i	0.106146	−	1.21326i
$179$	17.4099	−	17.4099i	1.30128	−	1.30128i	0.373749	−	0.927530i	$-0.378072\pi$
$179$	17.4099	−	17.4099i	1.30128	−	1.30128i	0.927530	−	0.373749i	$-0.121928\pi$
$180$	−6.26531	−	2.96186i	−0.466989	−	0.220764i
$181$	22.1562	+	8.06421i	1.64686	+	0.599408i	0.988219	−	0.153048i	$-0.0489089\pi$
$181$	22.1562	+	8.06421i	1.64686	+	0.599408i	0.658642	+	0.752456i	$0.271131\pi$
$182$	2.99269	+	2.09550i	0.221833	+	0.155329i
$183$	1.73769	−	9.85491i	0.128453	−	0.728496i
$184$	4.83007			0.356078
$185$	10.0633	+	9.15041i	0.739869	+	0.672751i
$186$	17.4935			1.28268
$187$	4.67738	−	26.5267i	0.342044	−	1.93983i
$188$	3.30955	+	2.31737i	0.241374	+	0.169012i
$189$	−1.06690	−	0.388318i	−0.0776052	−	0.0282460i
$190$	2.69159	−	0.963622i	0.195268	−	0.0699085i
$191$	−8.89140	+	8.89140i	−0.643359	+	0.643359i	−0.951380	−	0.308020i	$-0.900333\pi$
$191$	−8.89140	+	8.89140i	−0.643359	+	0.643359i	0.308020	+	0.951380i	$0.400333\pi$
$192$	0.215246	−	2.46027i	0.0155340	−	0.177555i
$193$	2.02799	−	3.51258i	0.145978	−	0.252841i	−0.783760	−	0.621064i	$-0.786701\pi$
$193$	2.02799	−	3.51258i	0.145978	−	0.252841i	0.929737	+	0.368224i	$0.120034\pi$
$194$	0.666886	+	1.83225i	0.0478796	+	0.131548i
$195$	4.29343	−	0.733736i	0.307459	−	0.0525440i
$196$	12.5184	+	7.22751i	0.894173	+	0.516251i
$197$	−10.3303	−	14.7532i	−0.736003	−	1.05112i	−0.996330	−	0.0856000i	$-0.972719\pi$
$197$	−10.3303	−	14.7532i	−0.736003	−	1.05112i	0.260327	−	0.965520i	$-0.416170\pi$
$198$	11.1813	+	4.06966i	0.794620	+	0.289218i
$199$	−9.83354	−	2.63489i	−0.697081	−	0.186782i	−0.107158	−	0.994242i	$-0.534175\pi$
$199$	−9.83354	−	2.63489i	−0.697081	−	0.186782i	−0.589923	+	0.807460i	$0.700842\pi$
$200$	4.93292	−	0.816289i	0.348810	−	0.0577204i
$201$	−1.47565	−	1.23822i	−0.104084	−	0.0873371i
$202$	1.19238	+	3.27603i	0.0838953	+	0.230500i
$203$	18.4451	−	3.25236i	1.29459	−	0.228271i
$204$	−9.93830	+	14.1934i	−0.695821	+	0.993735i
$205$	−5.30676	−	5.36299i	−0.370640	−	0.374568i
$206$	5.31201	−	6.33061i	0.370105	−	0.441074i
$207$	9.62228	−	11.4674i	0.668794	−	0.797038i
$208$	0.394368	+	0.683066i	0.0273445	+	0.0473621i
$209$	−4.44873	+	2.07448i	−0.307725	+	0.143495i
$210$	24.7422	−	6.49008i	1.70737	−	0.447858i
$211$	11.5085	−	19.9332i	0.792275	−	1.37226i	−0.132281	−	0.991212i	$-0.542230\pi$
$211$	11.5085	−	19.9332i	0.792275	−	1.37226i	0.924555	−	0.381048i	$-0.124437\pi$
$212$	−0.539130	+	2.01206i	−0.0370276	+	0.138189i
$213$	−16.7313	+	35.8804i	−1.14641	+	2.45848i
$214$	2.95878	+	11.0423i	0.202258	+	0.754837i
$215$	−5.42465	+	11.4749i	−0.369958	+	0.782582i
$216$	−0.173323	−	0.173323i	−0.0117931	−	0.0117931i
$217$	−25.1337	+	21.0897i	−1.70619	+	1.43166i
$218$	−2.44452	−	5.24229i	−0.165564	−	0.355053i
$219$	11.3193	−	1.99590i	0.764889	−	0.134871i
$220$	−8.30396	+	2.17820i	−0.559853	+	0.146854i
$221$		−	5.53369i		−	0.372236i
$222$	7.05773	+	13.2612i	0.473684	+	0.890037i
$223$	−4.03761	−	4.03761i	−0.270378	−	0.270378i	0.558874	−	0.829253i	$-0.311234\pi$
$223$	−4.03761	−	4.03761i	−0.270378	−	0.270378i	−0.829253	+	0.558874i	$0.811234\pi$
$224$	2.65678	+	3.79428i	0.177514	+	0.253516i
$225$	7.88916	−	13.3377i	0.525944	−	0.889182i
$226$	1.66588	−	4.57698i	0.110813	−	0.304456i
$227$	11.6238	+	13.8527i	0.771501	+	0.919439i	0.998516	−	0.0544523i	$-0.0173413\pi$
$227$	11.6238	+	13.8527i	0.771501	+	0.919439i	−0.227016	+	0.973891i	$0.572897\pi$
$228$	3.15754			0.209113
$229$	13.8006	+	16.4469i	0.911971	+	1.08684i	0.995908	+	0.0903736i	$0.0288061\pi$
$229$	13.8006	+	16.4469i	0.911971	+	1.08684i	−0.0839370	+	0.996471i	$0.526749\pi$
$230$	−0.998008	+	10.7542i	−0.0658067	+	0.709108i
$231$	−41.2704	+	15.0212i	−2.71539	+	0.988321i
$232$	3.90578	+	1.04655i	0.256427	+	0.0687094i
$233$	3.81309	+	14.2306i	0.249804	+	0.932280i	0.970908	+	0.239453i	$0.0769682\pi$
$233$	3.81309	+	14.2306i	0.249804	+	0.932280i	−0.721104	+	0.692827i	$0.756365\pi$
$234$	2.40736	+	0.424482i	0.157374	+	0.0277492i
$235$	−5.84346	+	6.88989i	−0.381186	+	0.449447i
$236$	0.665262	−	2.48279i	0.0433049	−	0.161616i
$237$	−17.3250	−	14.5374i	−1.12538	−	0.944308i
$238$	−2.83233	−	32.3736i	−0.183592	−	2.09847i
$239$	4.46258	+	2.08094i	0.288660	+	0.134605i	0.561555	−	0.827439i	$-0.310203\pi$
$239$	4.46258	+	2.08094i	0.288660	+	0.134605i	−0.272895	+	0.962044i	$0.587981\pi$
$240$	5.43331	+	0.987594i	0.350719	+	0.0637489i
$241$	−10.3269	−	7.23098i	−0.665215	−	0.465788i	0.191559	−	0.981481i	$-0.438646\pi$
$241$	−10.3269	−	7.23098i	−0.665215	−	0.465788i	−0.856774	+	0.515693i	$0.827535\pi$
$242$	3.51451	−	1.27918i	0.225921	−	0.0822286i
$243$	22.1182	−	1.93509i	1.41888	−	0.124136i
$244$	0.353150	+	4.03652i	0.0226081	+	0.258412i
$245$	−18.6787	+	26.3789i	−1.19334	+	1.68529i
$246$	−3.52165	−	7.55221i	−0.224532	−	0.481511i
$247$	−0.826053	+	0.578408i	−0.0525605	+	0.0368032i
$248$	−6.84198	+	1.83330i	−0.434466	+	0.116415i
$249$	−20.5592	−	35.6095i	−1.30288	−	2.25666i
$250$	0.798210	+	11.1518i	0.0504833	+	0.705302i
$251$	−1.23927	+	0.332063i	−0.0782223	+	0.0209596i	−0.297718	−	0.954654i	$-0.596225\pi$
$251$	−1.23927	+	0.332063i	−0.0782223	+	0.0209596i	0.219496	+	0.975613i	$0.429559\pi$
$252$	14.3010	+	1.25117i	0.900876	+	0.0788165i
$253$		−	18.5440i		−	1.16585i
$254$	0.293986	−	3.36028i	0.0184463	−	0.210843i
$255$	−29.5481	−	25.0603i	−1.85037	−	1.56934i
$256$	0.173648	+	0.984808i	0.0108530	+	0.0615505i
$257$	27.3739	+	4.82675i	1.70753	+	0.301084i	0.940316	−	0.340302i	$-0.110529\pi$
$257$	27.3739	+	4.82675i	1.70753	+	0.301084i	0.767218	+	0.641386i	$0.221640\pi$
$258$	−9.91257	+	9.91257i	−0.617130	+	0.617130i
$259$	−26.1276	−	10.5444i	−1.62349	−	0.655200i
$260$	−1.60233	+	0.736924i	−0.0993725	+	0.0457021i
$261$	10.2656	−	7.18807i	0.635426	−	0.444930i
$262$	−11.3430	+	16.1995i	−0.700773	+	1.00081i
$263$	18.2208	−	8.49650i	1.12354	−	0.523917i	0.230133	−	0.973159i	$-0.426084\pi$
$263$	18.2208	−	8.49650i	1.12354	−	0.523917i	0.893410	+	0.449242i	$0.148306\pi$
$264$	−9.44566	−	0.826388i	−0.581340	−	0.0508607i
$265$	−4.36846	−	1.61611i	−0.268352	−	0.0992770i
$266$	−4.53659	+	3.80665i	−0.278156	+	0.233401i
$267$	34.7526	+	20.0645i	2.12683	+	1.22792i
$268$	0.706914	+	0.329640i	0.0431817	+	0.0201359i
$269$	−11.3573	+	6.55715i	−0.692468	+	0.399797i	−0.804536	−	0.593904i	$-0.797586\pi$
$269$	−11.3573	+	6.55715i	−0.692468	+	0.399797i	0.112068	+	0.993701i	$0.464253\pi$
$270$	0.421717	−	0.350091i	0.0256649	−	0.0213059i
$271$	−2.13195	+	12.0909i	−0.129507	+	0.734470i	0.849022	+	0.528358i	$0.177192\pi$
$271$	−2.13195	+	12.0909i	−0.129507	+	0.734470i	−0.978528	+	0.206112i	$0.933919\pi$
$272$	2.39958	−	6.59278i	0.145496	−	0.399746i
$273$	−7.81386	+	4.51133i	−0.472916	+	0.273038i
$274$	6.96451	−	0.609316i	0.420742	−	0.0368101i
$275$	−3.13396	−	18.9388i	−0.188985	−	1.14206i
$276$	−5.04127	+	10.8110i	−0.303449	+	0.650748i
$277$	2.29606	+	13.0216i	0.137957	+	0.782393i	0.972755	+	0.231836i	$0.0744733\pi$
$277$	2.29606	+	13.0216i	0.137957	+	0.782393i	−0.834798	+	0.550556i	$0.814416\pi$
$278$	−3.83982	−	21.7767i	−0.230297	−	1.30608i
$279$	−9.27776	+	19.8962i	−0.555445	+	1.19116i
$280$	−8.99692	+	5.13134i	−0.537669	+	0.306656i
$281$	17.0381	−	1.49064i	1.01641	−	0.0889241i	0.433242	−	0.901278i	$-0.357369\pi$
$281$	17.0381	−	1.49064i	1.01641	−	0.0889241i	0.583165	+	0.812353i	$0.301814\pi$
$282$	−8.64119	+	4.98899i	−0.514575	+	0.297090i
$283$	−7.61025	+	20.9090i	−0.452382	+	1.24291i	0.478660	+	0.878000i	$0.341123\pi$
$283$	−7.61025	+	20.9090i	−0.452382	+	1.24291i	−0.931043	+	0.364910i	$0.881100\pi$
$284$	2.78364	−	15.7868i	0.165179	−	0.936776i
$285$	−0.652424	+	7.03027i	−0.0386462	+	0.416437i
$286$	2.62248	−	1.51409i	0.155071	−	0.0895300i
$287$	14.1645	+	6.60500i	0.836102	+	0.389881i
$288$	2.68403	+	1.54963i	0.158158	+	0.0913125i
$289$	−24.6840	+	20.7124i	−1.45200	+	1.21837i
$290$	−3.13717	+	8.47998i	−0.184221	+	0.497962i
$291$	−4.79714	−	0.419695i	−0.281213	−	0.0246030i
$292$	−4.21800	+	1.96689i	−0.246840	+	0.115103i
$293$	4.05034	−	5.78448i	0.236623	−	0.337933i	−0.683225	−	0.730208i	$-0.739423\pi$
$293$	4.05034	−	5.78448i	0.236623	−	0.337933i	0.919848	+	0.392275i	$0.128312\pi$
$294$	−29.2430	+	20.4762i	−1.70549	+	1.19419i
$295$	5.39048	+	1.99421i	0.313846	+	0.116107i
$296$	−4.15016	−	4.44704i	−0.241223	−	0.258479i
$297$	−0.665436	+	0.665436i	−0.0386125	+	0.0386125i
$298$	13.6732	+	2.41095i	0.792065	+	0.139662i
$299$	−0.661540	−	3.75178i	−0.0382578	−	0.216971i
$300$	−3.32153	+	11.8932i	−0.191769	+	0.686655i
$301$	2.29152	−	26.1922i	0.132081	−	1.50969i
$302$		−	1.32227i		−	0.0760882i
$303$	−8.57717	−	0.750405i	−0.492745	−	0.0431096i
$304$	−1.23497	+	0.330908i	−0.0708301	+	0.0189789i
$305$	−9.06029	−	0.0477529i	−0.518791	−	0.00273432i
$306$	−10.8720	−	18.8309i	−0.621511	−	1.07649i
$307$	5.00708	−	1.34164i	0.285769	−	0.0765716i	−0.113087	−	0.993585i	$-0.536074\pi$
$307$	5.00708	−	1.34164i	0.285769	−	0.0765716i	0.398856	+	0.917013i	$0.369407\pi$
$308$	14.5673	−	10.2001i	0.830048	−	0.581206i
$309$	8.62537	+	18.4972i	0.490680	+	1.05227i
$310$	−2.66814	−	15.6125i	−0.151540	−	0.886729i
$311$	1.10318	+	12.6094i	0.0625555	+	0.715013i	0.961113	+	0.276156i	$0.0890608\pi$
$311$	1.10318	+	12.6094i	0.0625555	+	0.715013i	−0.898557	+	0.438856i	$0.855384\pi$
$312$	−1.94050	+	0.169772i	−0.109859	+	0.00961145i
$313$	−13.9286	+	5.06958i	−0.787288	+	0.286550i	−0.704208	−	0.709993i	$-0.748698\pi$
$313$	−13.9286	+	5.06958i	−0.787288	+	0.286550i	−0.0830800	+	0.996543i	$0.526476\pi$
$314$	−0.648179	−	0.453860i	−0.0365789	−	0.0256128i
$315$	−5.74066	+	31.5826i	−0.323449	+	1.77948i
$316$	8.29961	+	3.87017i	0.466890	+	0.217714i
$317$	0.990144	+	11.3174i	0.0556120	+	0.635648i	0.971941	+	0.235223i	$0.0755820\pi$
$317$	0.990144	+	11.3174i	0.0556120	+	0.635648i	−0.916329	+	0.400425i	$0.868862\pi$
$318$	−3.94085	−	3.30676i	−0.220992	−	0.185434i
$319$	4.01800	−	14.9954i	0.224965	−	0.839580i
$320$	−2.22856	+	0.183143i	−0.124580	+	0.0102380i
$321$	−27.8039	−	4.90258i	−1.55186	−	0.273635i
$322$	−5.79048	−	21.6104i	−0.322691	−	1.20430i
$323$	8.66438	+	2.32161i	0.482099	+	0.129178i
$324$	−8.16818	+	2.97298i	−0.453788	+	0.165165i
$325$	−1.30968	−	3.71986i	−0.0726481	−	0.206341i
$326$	5.36825	+	6.39763i	0.297320	+	0.354332i
$327$	14.2851			0.789968
$328$	2.16884	+	2.58472i	0.119754	+	0.142718i
$329$	6.40060	−	17.5855i	0.352877	−	0.969520i
$330$	3.79165	−	20.8600i	0.208724	−	1.14831i
$331$	8.25528	+	11.7898i	0.453751	+	0.648024i	0.979223	−	0.202787i	$-0.0650000\pi$
$331$	8.25528	+	11.7898i	0.453751	+	0.648024i	−0.525472	+	0.850811i	$0.676111\pi$
$332$	11.7729	+	11.7729i	0.646120	+	0.646120i
$333$	−18.8258	+	0.993938i	−1.03165	+	0.0544674i
$334$			7.29322i			0.399067i
$335$	−0.880008	+	1.50583i	−0.0480800	+	0.0822725i
$336$	−11.2656	+	1.98643i	−0.614589	+	0.108369i
$337$	−4.57790	−	9.81734i	−0.249374	−	0.534784i	0.741278	−	0.671198i	$-0.234220\pi$
$337$	−4.57790	−	9.81734i	−0.249374	−	0.534784i	−0.990652	+	0.136414i	$0.956442\pi$
$338$	−9.48202	+	7.95636i	−0.515754	+	0.432769i
$339$	8.50582	+	8.50582i	0.461973	+	0.461973i
$340$	14.1830	+	6.70488i	0.769182	+	0.363623i
$341$	7.03856	+	26.2683i	0.381160	+	1.42251i
$342$	−1.67462	+	3.59123i	−0.0905530	+	0.194192i
$343$	8.93738	−	33.3547i	0.482573	−	1.80099i
$344$	2.83813	−	4.91579i	0.153022	−	0.265042i
$345$	−23.0291	−	13.4582i	−1.23985	−	0.724566i
$346$	14.4002	−	6.71492i	0.774159	−	0.360996i
$347$	−2.42922	−	4.20753i	−0.130407	−	0.225872i	0.793426	−	0.608666i	$-0.208295\pi$
$347$	−2.42922	−	4.20753i	−0.130407	−	0.225872i	−0.923834	+	0.382794i	$0.874962\pi$
$348$	−6.41904	+	7.64991i	−0.344096	+	0.410078i
$349$	−5.60184	+	6.67601i	−0.299859	+	0.357359i	−0.894844	−	0.446378i	$-0.852714\pi$
$349$	−5.60184	+	6.67601i	−0.299859	+	0.357359i	0.594985	+	0.803737i	$0.297158\pi$
$350$	−9.56595	−	21.0919i	−0.511322	−	1.12741i
$351$	−0.110891	+	0.158368i	−0.00591890	+	0.00845307i
$352$	3.78095	−	0.666684i	0.201525	−	0.0355344i
$353$	0.339634	+	0.933136i	0.0180769	+	0.0496658i	0.948403	−	0.317068i	$-0.102698\pi$
$353$	0.339634	+	0.933136i	0.0180769	+	0.0496658i	−0.930326	+	0.366734i	$0.880476\pi$
$354$	4.86283	+	4.08040i	0.258456	+	0.216871i
$355$	34.5742	+	9.45972i	1.83501	+	0.502070i
$356$	−15.6951	−	4.20548i	−0.831836	−	0.222890i
$357$	75.4174	+	27.4497i	3.99151	+	1.45279i
$358$	−14.1222	−	20.1686i	−0.746383	−	1.06595i
$359$	2.90991	+	1.68003i	0.153579	+	0.0886688i	0.574820	−	0.818280i	$-0.305072\pi$
$359$	2.90991	+	1.68003i	0.153579	+	0.0886688i	−0.421241	+	0.906949i	$0.638405\pi$
$360$	−4.00483	+	5.65581i	−0.211073	+	0.298087i
$361$	5.93930	+	16.3181i	0.312595	+	0.858847i
$362$	11.7891	−	20.4193i	0.619621	−	1.07321i
$363$	−0.805032	+	9.20156i	−0.0422532	+	0.482957i
$364$	2.58334	−	2.58334i	0.135404	−	0.135404i
$365$	−3.50773	−	9.79779i	−0.183603	−	0.512840i
$366$	−9.40345	−	3.42257i	−0.491526	−	0.178901i
$367$	−29.4418	−	20.6153i	−1.53685	−	1.07611i	−0.967134	−	0.254268i	$-0.918165\pi$
$367$	−29.4418	−	20.6153i	−1.53685	−	1.07611i	−0.569713	−	0.821843i	$-0.692946\pi$
$368$	0.838733	−	4.75669i	0.0437220	−	0.247960i
$369$	10.4572			0.544382
$370$	10.7589	−	8.32147i	0.559327	−	0.432613i
$371$	9.64855			0.500928
$372$	3.03771	−	17.2277i	0.157498	−	0.893216i
$373$	4.15475	+	2.90919i	0.215125	+	0.150632i	0.676172	−	0.736743i	$-0.263637\pi$
$373$	4.15475	+	2.90919i	0.215125	+	0.150632i	−0.461048	+	0.887375i	$0.652526\pi$
$374$	−25.3115	−	9.21264i	−1.30883	−	0.476374i
$375$	−25.7940	−	9.85282i	−1.33199	−	0.508797i
$376$	2.85686	−	2.85686i	0.147332	−	0.147332i
$377$	0.277966	−	3.17717i	0.0143160	−	0.163633i
$378$	−0.567683	+	0.983256i	−0.0291985	+	0.0505732i
$379$	4.49821	+	12.3587i	0.231058	+	0.634825i	0.999990	−	0.00450477i	$-0.00143392\pi$
$379$	4.49821	+	12.3587i	0.231058	+	0.634825i	−0.768932	+	0.639330i	$0.779212\pi$
$380$	−0.481594	−	2.81803i	−0.0247052	−	0.144562i
$381$	7.21440	+	4.16523i	0.369605	+	0.213391i
$382$	7.21235	+	10.3003i	0.369016	+	0.527009i
$383$	−33.6017	−	12.2300i	−1.71697	−	0.624924i	−0.719396	−	0.694600i	$-0.755581\pi$
$383$	−33.6017	−	12.2300i	−1.71697	−	0.624924i	−0.997570	+	0.0696755i	$0.977804\pi$
$384$	−2.38551	−	0.639197i	−0.121735	−	0.0326189i
$385$	19.7006	+	34.5417i	1.00404	+	1.76041i
$386$	−3.10706	−	2.60713i	−0.158145	−	0.132699i
$387$	−6.01688	−	16.5312i	−0.305855	−	0.840330i
$388$	1.92022	−	0.338587i	0.0974845	−	0.0171891i
$389$	13.0489	−	18.6358i	0.661606	−	0.944871i	−0.338387	−	0.941007i	$-0.609881\pi$
$389$	13.0489	−	18.6358i	0.661606	−	0.944871i	0.999993	−	0.00386401i	$-0.00122996\pi$
$390$	0.0229566	−	4.35561i	0.00116245	−	0.220555i
$391$	−21.7823	+	25.9591i	−1.10158	+	1.31281i
$392$	9.29151	−	11.0732i	0.469292	−	0.559281i
$393$	−24.4200	−	42.2966i	−1.23182	−	2.13358i
$394$	−16.3229	+	7.61148i	−0.822335	+	0.383461i
$395$	−10.3318	+	17.6794i	−0.519851	+	0.889548i
$396$	5.94944	−	10.3047i	0.298971	−	0.517833i
$397$	3.39300	−	12.6628i	0.170290	−	0.635530i	−0.827016	−	0.562178i	$-0.809964\pi$
$397$	3.39300	−	12.6628i	0.170290	−	0.635530i	0.997306	−	0.0733520i	$-0.0233697\pi$
$398$	−4.30244	+	9.22660i	−0.215662	+	0.462488i
$399$	−3.78539	−	14.1272i	−0.189506	−	0.707247i
$400$	0.0527042	−	4.99972i	0.00263521	−	0.249986i
$401$	−28.0772	−	28.0772i	−1.40211	−	1.40211i	−0.793370	−	0.608739i	$-0.791676\pi$
$401$	−28.0772	−	28.0772i	−1.40211	−	1.40211i	−0.608739	−	0.793370i	$-0.708324\pi$
$402$	−1.47565	+	1.23822i	−0.0735987	+	0.0617567i
$403$	2.36112	+	5.06344i	0.117616	+	0.252228i
$404$	3.43331	−	0.605385i	0.170814	−	0.0301190i
$405$	−4.93159	−	18.8008i	−0.245053	−	0.934217i
$406$		−	18.7296i		−	0.929535i
$407$	−17.0734	+	15.9336i	−0.846299	+	0.789800i
$408$	12.2520	+	12.2520i	0.606563	+	0.606563i
$409$	−3.22378	−	4.60403i	−0.159405	−	0.227655i	0.731502	−	0.681839i	$-0.238820\pi$
$409$	−3.22378	−	4.60403i	−0.159405	−	0.227655i	−0.890908	+	0.454184i	$0.849931\pi$
$410$	−6.20302	+	4.29486i	−0.306346	+	0.212108i
$411$	−5.90523	+	16.2245i	−0.291283	+	0.800294i
$412$	−5.31201	−	6.33061i	−0.261704	−	0.311887i
$413$	−11.9059			−0.585850
$414$	−9.62228	−	11.4674i	−0.472909	−	0.563591i
$415$	−28.6448	+	23.7797i	−1.40612	+	1.16730i
$416$	0.741170	−	0.269764i	0.0363389	−	0.0132263i
$417$	52.7500	+	14.1343i	2.58318	+	0.692160i
$418$	1.27045	+	4.74138i	0.0621397	+	0.231908i
$419$	−22.0563	−	3.88913i	−1.07752	−	0.189996i	−0.393403	−	0.919366i	$-0.628702\pi$
$419$	−22.0563	−	3.88913i	−1.07752	−	0.189996i	−0.684119	+	0.729370i	$0.739813\pi$
$420$	−2.09505	−	25.4933i	−0.102228	−	1.24395i
$421$	−0.304846	+	1.13770i	−0.0148573	+	0.0554482i	−0.972957	−	0.230988i	$-0.925804\pi$
$421$	−0.304846	+	1.13770i	−0.0148573	+	0.0554482i	0.958099	+	0.286436i	$0.0924707\pi$
$422$	−17.6320	−	14.7950i	−0.858311	−	0.720209i
$423$	−1.09133	−	12.4740i	−0.0530624	−	0.606506i
$424$	1.88787	+	0.880330i	0.0916833	+	0.0427526i
$425$	−17.8590	+	30.1931i	−0.866288	+	1.46458i
$426$	32.4299	+	22.7077i	1.57124	+	1.10019i
$427$	17.6365	−	6.41918i	0.853492	−	0.310646i
$428$	11.3883	−	0.996350i	0.550476	−	0.0481604i
$429$	0.651802	+	7.45014i	0.0314693	+	0.359696i
$430$	10.3586	+	7.33483i	0.499536	+	0.353717i
$431$	−3.39085	−	7.27170i	−0.163332	−	0.350266i	0.807560	−	0.589786i	$-0.200788\pi$
$431$	−3.39085	−	7.27170i	−0.163332	−	0.350266i	−0.970891	+	0.239520i	$0.923010\pi$
$432$	−0.200787	+	0.140593i	−0.00966038	+	0.00676427i
$433$	31.3011	−	8.38709i	1.50423	−	0.403058i	0.589717	−	0.807610i	$-0.299239\pi$
$433$	31.3011	−	8.38709i	1.50423	−	0.403058i	0.914515	+	0.404552i	$0.132572\pi$
$434$	16.4049	+	28.4141i	0.787459	+	1.36392i
$435$	−15.7062	−	15.8726i	−0.753055	−	0.761035i
$436$	−5.58713	+	1.49707i	−0.267575	+	0.0716966i
$437$	6.15189	+	0.538221i	0.294285	+	0.0257466i
$438$		−	11.4939i		−	0.549202i
$439$	−2.82924	+	32.3383i	−0.135032	+	1.54342i	0.562456	+	0.826827i	$0.309857\pi$
$439$	−2.82924	+	32.3383i	−0.135032	+	1.54342i	−0.697488	+	0.716597i	$0.745699\pi$
$440$	0.703138	+	8.55605i	0.0335208	+	0.407893i
$441$	−7.77940	−	44.1191i	−0.370447	−	2.10091i
$442$	−5.44962	−	0.960915i	−0.259212	−	0.0457061i
$443$	−17.7640	+	17.7640i	−0.843993	+	0.843993i	−0.989376	−	0.145382i	$-0.953559\pi$
$443$	−17.7640	+	17.7640i	−0.843993	+	0.843993i	0.145382	+	0.989376i	$0.453559\pi$
$444$	14.2853	−	4.64771i	0.677952	−	0.220571i
$445$	12.6065	−	34.0761i	0.597604	−	1.61536i
$446$	−4.67740	+	3.27515i	−0.221481	+	0.155083i
$447$	−19.6674	+	28.0880i	−0.930237	+	1.32852i
$448$	4.19798	−	1.95755i	0.198336	−	0.0924855i
$449$	1.57274	+	0.137597i	0.0742223	+	0.00649361i	0.124206	−	0.992256i	$-0.460362\pi$
$449$	1.57274	+	0.137597i	0.0742223	+	0.00649361i	−0.0499841	+	0.998750i	$0.515917\pi$
$450$	−11.7652	−	10.0854i	−0.554615	−	0.475429i
$451$	9.92348	−	8.32679i	0.467278	−	0.392093i
$452$	−4.21817	−	2.43536i	−0.198406	−	0.114550i
$453$	2.95961	+	1.38009i	0.139055	+	0.0648422i
$454$	15.6607	−	9.04174i	0.734995	−	0.424350i
$455$	5.21803	+	6.28559i	0.244625	+	0.294673i
$456$	0.548302	−	3.10957i	0.0256766	−	0.145619i
$457$	−9.32502	+	25.6203i	−0.436206	+	1.19847i	0.505736	+	0.862689i	$0.331221\pi$
$457$	−9.32502	+	25.6203i	−0.436206	+	1.19847i	−0.941941	+	0.335777i	$0.891001\pi$
$458$	18.5935	−	10.7350i	0.868819	−	0.501613i
$459$	1.71316	−	0.149882i	0.0799635	−	0.00699590i
$460$	10.4175	+	2.85029i	0.485717	+	0.132895i
$461$	−4.66313	+	10.0001i	−0.217184	+	0.465752i	−0.984470	−	0.175553i	$-0.943829\pi$
$461$	−4.66313	+	10.0001i	−0.217184	+	0.465752i	0.767286	+	0.641305i	$0.221607\pi$
$462$	7.62645	+	43.2518i	0.354815	+	2.01225i
$463$	0.0433643	+	0.245931i	0.00201531	+	0.0114294i	0.985799	−	0.167931i	$-0.0537084\pi$
$463$	0.0433643	+	0.245931i	0.00201531	+	0.0114294i	−0.983784	+	0.179360i	$0.942597\pi$
$464$	1.70888	−	3.66471i	0.0793329	−	0.170130i
$465$	37.7299	+	10.3231i	1.74968	+	0.478723i
$466$	14.6766	−	1.28403i	0.679879	−	0.0594817i
$467$	−3.44273	+	1.98766i	−0.159310	+	0.0919779i	−0.577536	−	0.816365i	$-0.695986\pi$
$467$	−3.44273	+	1.98766i	−0.159310	+	0.0919779i	0.418225	+	0.908343i	$0.362652\pi$
$468$	0.836066	−	2.29707i	0.0386472	−	0.106182i
$469$	0.627373	−	3.55801i	0.0289694	−	0.164294i
$470$	5.77051	+	6.95111i	0.266174	+	0.320631i
$471$	1.69239	−	0.977100i	0.0779811	−	0.0450224i
$472$	−2.32955	−	1.08629i	−0.107226	−	0.0500004i
$473$	−18.8731	−	10.8964i	−0.867786	−	0.501017i
$474$	−17.3250	+	14.5374i	−0.795766	+	0.667727i
$475$	6.37384	−	0.489998i	0.292452	−	0.0224826i
$476$	−32.3736	−	2.83233i	−1.48384	−	0.129819i
$477$	5.85099	−	2.72836i	0.267899	−	0.124923i
$478$	2.82424	−	4.03344i	0.129178	−	0.184485i
$479$	−5.15366	+	3.60863i	−0.235477	+	0.164882i	−0.685359	−	0.728205i	$-0.740355\pi$
$479$	−5.15366	+	3.60863i	−0.235477	+	0.164882i	0.449883	+	0.893088i	$0.351466\pi$
$480$	1.91608	−	5.17928i	0.0874565	−	0.236401i
$481$	−2.88584	+	3.83273i	−0.131583	+	0.174758i
$482$	−8.91437	+	8.91437i	−0.406039	+	0.406039i
$483$	54.4136	+	9.59459i	2.47591	+	0.436569i
$484$	−0.649455	−	3.68324i	−0.0295207	−	0.167420i
$485$	0.357100	+	4.34533i	0.0162151	+	0.197311i
$486$	1.93509	−	22.1182i	0.0877775	−	1.00330i
$487$			5.89647i			0.267194i	0.991036	+	0.133597i	$0.0426528\pi$
$487$			5.89647i			0.267194i	−0.991036	+	0.133597i	$0.957347\pi$
$488$	4.03652	+	0.353150i	0.182725	+	0.0159863i
$489$	−19.9226	+	5.33826i	−0.900933	+	0.241404i
$490$	22.7346	+	22.9755i	1.02705	+	1.03793i
$491$	−3.40281	−	5.89384i	−0.153567	−	0.265985i	0.778970	−	0.627062i	$-0.215743\pi$
$491$	−3.40281	−	5.89384i	−0.153567	−	0.265985i	−0.932536	+	0.361077i	$0.882409\pi$
$492$	−8.04901	+	2.15672i	−0.362877	+	0.0972326i
$493$	−23.2387	+	16.2719i	−1.04662	+	0.732849i
$494$	0.426178	+	0.913942i	0.0191747	+	0.0411202i
$495$	21.7142	+	15.3756i	0.975981	+	0.691084i
$496$	0.617354	+	7.05639i	0.0277200	+	0.316841i
$497$	−73.9694	+	6.47148i	−3.31798	+	0.290286i
$498$	−38.6386	+	14.0633i	−1.73144	+	0.630191i
$499$	11.4220	+	7.99780i	0.511321	+	0.358031i	0.800586	−	0.599218i	$-0.204522\pi$
$499$	11.4220	+	7.99780i	0.511321	+	0.358031i	−0.289265	+	0.957249i	$0.593411\pi$
$500$	11.1210	+	1.15041i	0.497346	+	0.0514478i
$501$	−16.3243	−	7.61213i	−0.729314	−	0.340085i
$502$	0.111820	+	1.27811i	0.00499077	+	0.0570448i
$503$	−4.69734	−	3.94153i	−0.209444	−	0.175744i	0.532031	−	0.846725i	$-0.321429\pi$
$503$	−4.69734	−	3.94153i	−0.209444	−	0.175744i	−0.741475	+	0.670981i	$0.765873\pi$
$504$	3.71550	−	13.8664i	0.165502	−	0.617660i
$505$	0.638487	+	7.76935i	0.0284123	+	0.345732i
$506$	−18.2623	−	3.22013i	−0.811857	−	0.143152i
$507$	−7.91191	−	29.5276i	−0.351380	−	1.31137i
$508$	−3.25818	−	0.873026i	−0.144558	−	0.0387343i
$509$	1.67017	−	0.607891i	0.0740289	−	0.0269443i	−0.304740	−	0.952435i	$-0.598570\pi$
$509$	1.67017	−	0.607891i	0.0740289	−	0.0269443i	0.378769	+	0.925491i	$0.376347\pi$
$510$	−29.8106	+	24.7475i	−1.32003	+	1.09584i
$511$	13.8568	+	16.5139i	0.612989	+	0.730532i
$512$	1.00000			0.0441942
$513$	−0.201442	−	0.240069i	−0.00889388	−	0.0105993i
$514$	9.50684	−	26.1198i	0.419329	−	1.15210i
$515$	15.1927	−	10.5191i	0.669470	−	0.463529i
$516$	8.04067	+	11.4833i	0.353971	+	0.505523i
$517$	−10.9683	−	10.9683i	−0.482385	−	0.482385i
$518$	−14.9213	+	23.8996i	−0.655603	+	1.05009i
$519$			39.2402i			1.72245i
$520$	0.447486	+	1.70596i	0.0196236	+	0.0748111i
$521$	28.6381	−	5.04967i	1.25466	−	0.221230i	0.493470	−	0.869763i	$-0.335728\pi$
$521$	28.6381	−	5.04967i	1.25466	−	0.221230i	0.761187	+	0.648533i	$0.224617\pi$
$522$	−5.29626	−	11.3579i	−0.231811	−	0.497120i
$523$	−10.8547	+	9.10817i	−0.474643	+	0.398273i	−0.848485	−	0.529220i	$-0.822485\pi$
$523$	−10.8547	+	9.10817i	−0.474643	+	0.398273i	0.373842	+	0.927492i	$0.378040\pi$
$524$	13.9837	+	13.9837i	0.610880	+	0.610880i
$525$	57.1938	+	0.602904i	2.49614	+	0.0263129i
$526$	−5.20341	−	19.4194i	−0.226879	−	0.846726i
$527$	21.0024	−	45.0398i	0.914879	−	1.96197i
$528$	−2.45405	+	9.15865i	−0.106799	+	0.398579i
$529$	−0.164797	+	0.285436i	−0.00716507	+	0.0124103i
$530$	−2.35014	+	4.02146i	−0.102083	+	0.174681i
$531$	−7.21986	+	3.36668i	−0.313315	+	0.146101i
$532$	2.96105	+	5.12869i	0.128378	+	0.222357i
$533$	1.71064	−	2.03867i	0.0740962	−	0.0883045i
$534$	25.7944	−	30.7405i	1.11623	−	1.33027i
$535$	−0.134726	+	25.5620i	−0.00582473	+	1.10514i
$536$	0.447386	−	0.638933i	0.0193241	−	0.0275977i
$537$	59.8827	−	10.5589i	2.58413	−	0.455652i
$538$	4.48536	+	12.3234i	0.193378	+	0.531300i
$539$	−42.5131	−	35.6727i	−1.83117	−	1.53653i
$540$	−0.271542	−	0.476103i	−0.0116853	−	0.0204882i
$541$	−17.8903	−	4.79370i	−0.769166	−	0.206097i	−0.147163	−	0.989112i	$-0.547014\pi$
$541$	−17.8903	−	4.79370i	−0.769166	−	0.206097i	−0.622003	+	0.783015i	$0.713681\pi$
$542$	11.5370	+	4.19913i	0.495557	+	0.180368i
$543$	33.3995	+	47.6994i	1.43331	+	2.04698i
$544$	−6.07594	−	3.50795i	−0.260504	−	0.150402i
$545$	−2.17879	−	12.7491i	−0.0933291	−	0.546111i
$546$	3.08593	+	8.47853i	0.132066	+	0.362848i
$547$	−7.12965	+	12.3489i	−0.304842	+	0.528002i	−0.977226	−	0.212201i	$-0.931937\pi$
$547$	−7.12965	+	12.3489i	−0.304842	+	0.528002i	0.672384	+	0.740202i	$0.265270\pi$
$548$	0.609316	−	6.96451i	0.0260287	−	0.297509i
$549$	8.87983	−	8.87983i	0.378982	−	0.378982i
$550$	−19.1953	−	0.202346i	−0.818492	−	0.00862807i
$551$	4.85804	+	1.76818i	0.206959	+	0.0753271i
$552$	9.77139	+	6.84200i	0.415898	+	0.291215i
$553$	7.36575	−	41.7732i	0.313223	−	1.77638i
$554$	13.2225			0.561770
$555$	7.39645	+	32.7667i	0.313962	+	1.39087i
$556$	−22.1126			−0.937784
$557$	−1.64764	+	9.34424i	−0.0698128	+	0.395928i	0.929799	+	0.368068i	$0.119981\pi$
$557$	−1.64764	+	9.34424i	−0.0698128	+	0.395928i	−0.999612	+	0.0278605i	$0.991131\pi$
$558$	17.9829	+	12.5918i	0.761276	+	0.533051i
$559$	−4.20708	−	1.53125i	−0.177941	−	0.0647651i
$560$	3.49108	+	9.75128i	0.147525	+	0.412067i
$561$	47.0387	−	47.0387i	1.98598	−	1.98598i
$562$	1.49064	−	17.0381i	0.0628789	−	0.718709i
$563$	6.67951	−	11.5693i	0.281508	−	0.487586i	−0.690248	−	0.723573i	$-0.742499\pi$
$563$	6.67951	−	11.5693i	0.281508	−	0.487586i	0.971756	+	0.235986i	$0.0758321\pi$
$564$	3.41267	+	9.37624i	0.143699	+	0.394811i
$565$	6.29391	−	8.88855i	0.264787	−	0.373944i
$566$	19.2698	+	11.1254i	0.809971	+	0.467637i
$567$	23.0938	+	32.9814i	0.969848	+	1.38509i
$568$	−15.0636	−	5.48271i	−0.632055	−	0.230049i
$569$	−24.1305	−	6.46574i	−1.01160	−	0.271058i	−0.285303	−	0.958437i	$-0.592094\pi$
$569$	−24.1305	−	6.46574i	−1.01160	−	0.271058i	−0.726298	+	0.687380i	$0.758761\pi$
$570$	6.81017	+	1.86331i	0.285247	+	0.0780453i
$571$	−15.6128	−	13.1007i	−0.653373	−	0.548245i	0.254719	−	0.967015i	$-0.418017\pi$
$571$	−15.6128	−	13.1007i	−0.653373	−	0.548245i	−0.908092	+	0.418770i	$0.862461\pi$
$572$	−1.03570	−	2.84556i	−0.0433047	−	0.118979i
$573$	−30.5826	+	5.39254i	−1.27761	+	0.225277i
$574$	8.96429	−	12.8023i	0.374162	−	0.534359i
$575$	−8.49866	+	22.6056i	−0.354419	+	0.942718i
$576$	1.99216	−	2.37416i	0.0830067	−	0.0989235i
$577$	−12.3963	+	14.7733i	−0.516065	+	0.615022i	−0.959646	−	0.281212i	$-0.909263\pi$
$577$	−12.3963	+	14.7733i	−0.516065	+	0.615022i	0.443581	+	0.896234i	$0.353708\pi$
$578$	16.1114	+	27.9057i	0.670144	+	1.16072i
$579$	9.07839	−	4.23333i	0.377285	−	0.175931i
$580$	7.80639	+	4.56205i	0.324143	+	0.189429i
$581$	38.5595	−	66.7870i	1.59972	−	2.77079i
$582$	−1.24633	+	4.65138i	−0.0516622	+	0.192806i
$583$	3.37983	−	7.24808i	0.139978	−	0.300185i
$584$	1.20456	+	4.49547i	0.0498449	+	0.186024i
$585$	4.94168	+	2.33613i	0.204313	+	0.0965871i
$586$	−4.99327	−	4.99327i	−0.206270	−	0.206270i
$587$	25.0072	−	20.9835i	1.03216	−	0.866082i	0.0410499	−	0.999157i	$-0.486930\pi$
$587$	25.0072	−	20.9835i	1.03216	−	0.866082i	0.991106	+	0.133076i	$0.0424853\pi$
$588$	15.0871	+	32.3544i	0.622181	+	1.33427i
$589$	−8.91868	+	1.57260i	−0.367488	+	0.0647980i
$590$	2.89996	−	4.96230i	0.119390	−	0.204294i
$591$		−	44.4794i		−	1.82964i
$592$	−5.10015	+	3.31489i	−0.209615	+	0.136241i
$593$	−14.2864	−	14.2864i	−0.586671	−	0.586671i	0.350057	−	0.936728i	$-0.386162\pi$
$593$	−14.2864	−	14.2864i	−0.586671	−	0.586671i	−0.936728	+	0.350057i	$0.886162\pi$
$594$	0.539774	+	0.770878i	0.0221472	+	0.0316295i
$595$	12.9953	−	71.4947i	0.532757	−	2.93100i
$596$	4.74864	−	13.0468i	0.194512	−	0.534417i
$597$	−16.1611	−	19.2601i	−0.661431	−	0.788263i
$598$	−3.80966			−0.155788
$599$	15.1959	+	18.1098i	0.620888	+	0.739946i	0.981223	−	0.192877i	$-0.0617819\pi$
$599$	15.1959	+	18.1098i	0.620888	+	0.739946i	−0.360335	+	0.932823i	$0.617337\pi$
$600$	11.1358	+	5.33631i	0.454615	+	0.217854i
$601$	−2.39012	+	0.869934i	−0.0974952	+	0.0354854i	−0.390307	−	0.920685i	$-0.627631\pi$
$601$	−2.39012	+	0.869934i	−0.0974952	+	0.0354854i	0.292812	+	0.956170i	$0.405409\pi$
$602$	−25.3963	−	6.80493i	−1.03508	−	0.277348i
$603$	−0.625668	−	2.33503i	−0.0254792	−	0.0950896i
$604$	−1.30218	−	0.229610i	−0.0529851	−	0.00934270i
$605$	8.33494	−	0.684967i	0.338863	−	0.0278479i
$606$	−2.22841	+	8.31656i	−0.0905232	+	0.337837i
$607$	9.46557	+	7.94256i	0.384196	+	0.322379i	0.814347	−	0.580378i	$-0.197095\pi$
$607$	9.46557	+	7.94256i	0.384196	+	0.322379i	−0.430151	+	0.902757i	$0.641540\pi$
$608$	0.111431	+	1.27367i	0.00451913	+	0.0516539i
$609$	41.9221	+	19.5486i	1.69877	+	0.792148i
$610$	−1.62033	+	8.91435i	−0.0656052	+	0.360931i
$611$	−2.61036	−	1.82780i	−0.105604	−	0.0739447i
$612$	−20.4327	+	7.43689i	−0.825942	+	0.300618i
$613$	16.4649	−	1.44049i	0.665011	−	0.0581809i	0.250348	−	0.968156i	$-0.419455\pi$
$613$	16.4649	−	1.44049i	0.665011	−	0.0581809i	0.414663	+	0.909975i	$0.363899\pi$
$614$	−0.451790	−	5.16398i	−0.0182328	−	0.208401i
$615$	−3.13883	−	18.3667i	−0.126570	−	0.740619i
$616$	−7.51558	−	16.1172i	−0.302811	−	0.649381i
$617$	7.54202	−	5.28098i	0.303630	−	0.212604i	−0.411825	−	0.911263i	$-0.635108\pi$
$617$	7.54202	−	5.28098i	0.303630	−	0.212604i	0.715455	+	0.698659i	$0.246220\pi$
$618$	19.7139	−	5.28233i	0.793011	−	0.212487i
$619$	19.7615	+	34.2280i	0.794283	+	1.37574i	0.923293	+	0.384096i	$0.125487\pi$
$619$	19.7615	+	34.2280i	0.794283	+	1.37574i	−0.129010	+	0.991643i	$0.541180\pi$
$620$	−15.8386	−	0.0834785i	−0.636094	−	0.00335258i
$621$	1.14359	−	0.306423i	0.0458905	−	0.0122963i
$622$	12.6094	+	1.10318i	0.505590	+	0.0442334i
$623$			75.2634i			3.01536i
$624$	−0.169772	+	1.94050i	−0.00679632	+	0.0776823i
$625$	−4.85925	+	24.5232i	−0.194370	+	0.980928i
$626$	2.57389	+	14.5973i	0.102873	+	0.583424i
$627$	−11.9385	−	2.10508i	−0.476778	−	0.0840689i
$628$	−0.559520	+	0.559520i	−0.0223273	+	0.0223273i
$629$	42.6166	−	2.25001i	1.69924	−	0.0897139i
$630$	30.1059	+	11.1377i	1.19945	+	0.443737i
$631$	14.3149	−	10.0234i	0.569868	−	0.399026i	−0.252825	−	0.967512i	$-0.581360\pi$
$631$	14.3149	−	10.0234i	0.569868	−	0.399026i	0.822693	+	0.568486i	$0.192471\pi$
$632$	5.25259	−	7.50147i	0.208937	−	0.298393i
$633$	51.5182	−	24.0233i	2.04767	−	0.954842i
$634$	11.3174	+	0.990144i	0.449471	+	0.0393236i
$635$	2.61701	−	7.07395i	0.103853	−	0.280721i
$636$	−3.94085	+	3.30676i	−0.156265	+	0.131122i
$637$	−9.87374	−	5.70061i	−0.391212	−	0.225866i
$638$	−14.0699	−	6.56088i	−0.557031	−	0.259748i
$639$	−43.0260	+	24.8411i	−1.70208	+	0.982697i
$640$	−0.206624	+	2.22650i	−0.00816752	+	0.0880102i
$641$	3.54501	−	20.1048i	0.140020	−	0.794091i	−0.831212	−	0.555955i	$-0.812353\pi$
$641$	3.54501	−	20.1048i	0.140020	−	0.794091i	0.971232	−	0.238136i	$-0.0765363\pi$
$642$	−9.65619	+	26.5302i	−0.381100	+	1.04706i
$643$	23.7603	−	13.7180i	0.937016	−	0.540986i	0.0479923	−	0.998848i	$-0.484718\pi$
$643$	23.7603	−	13.7180i	0.937016	−	0.540986i	0.889024	+	0.457861i	$0.151384\pi$
$644$	−22.2876	+	1.94991i	−0.878253	+	0.0768371i
$645$	−27.2289	+	15.5299i	−1.07214	+	0.611487i
$646$	3.79090	−	8.12961i	0.149151	−	0.319855i
$647$	−5.96215	−	33.8130i	−0.234396	−	1.32933i	−0.843881	−	0.536530i	$-0.819735\pi$
$647$	−5.96215	−	33.8130i	−0.234396	−	1.32933i	0.609485	−	0.792797i	$-0.291376\pi$
$648$	1.50942	+	8.56034i	0.0592956	+	0.336282i
$649$	−4.17056	+	8.94380i	−0.163709	+	0.351075i
$650$	−3.89077	+	0.643837i	−0.152609	+	0.0252534i
$651$	−80.7207	+	7.06215i	−3.16370	+	0.276787i
$652$	7.23262	−	4.17575i	0.283251	−	0.163535i
$653$	0.131555	−	0.361445i	0.00514815	−	0.0141444i	−0.937092	−	0.349083i	$-0.886493\pi$
$653$	0.131555	−	0.361445i	0.00514815	−	0.0141444i	0.942240	+	0.334938i	$0.108715\pi$
$654$	2.48058	−	14.0681i	0.0969985	−	0.550106i
$655$	−34.0240	+	28.2453i	−1.32943	+	1.10364i
$656$	2.92207	−	1.68706i	0.114088	−	0.0658686i
$657$	13.0726	+	6.09587i	0.510012	+	0.237823i
$658$	−16.2069	−	9.35705i	−0.631810	−	0.364776i
$659$	10.4353	−	8.75623i	0.406500	−	0.341094i	−0.416499	−	0.909136i	$-0.636743\pi$
$659$	10.4353	−	8.75623i	0.406500	−	0.341094i	0.823000	+	0.568042i	$0.192299\pi$
$660$	−19.8847	−	7.35635i	−0.774010	−	0.286346i
$661$	7.78110	+	0.680758i	0.302650	+	0.0264784i	0.237469	−	0.971395i	$-0.423682\pi$
$661$	7.78110	+	0.680758i	0.302650	+	0.0264784i	0.0651805	+	0.997873i	$0.479238\pi$
$662$	13.0442	−	6.08259i	0.506976	−	0.236407i
$663$	7.83871	−	11.1948i	0.304430	−	0.434771i
$664$	13.6383	−	9.54967i	0.529270	−	0.370599i
$665$	−12.0309	+	5.53307i	−0.466536	+	0.214563i
$666$	−2.29023	+	18.7124i	−0.0887445	+	0.725090i
$667$	−13.8103	+	13.8103i	−0.534736	+	0.534736i
$668$	7.18242	+	1.26645i	0.277896	+	0.0490006i
$669$	−2.44877	−	13.8877i	−0.0946749	−	0.536928i
$670$	1.33015	+	1.12812i	0.0513880	+	0.0435832i
$671$	1.35584	−	15.4973i	0.0523417	−	0.598268i
$672$			11.4394i			0.441284i
$673$	−32.8559	−	2.87452i	−1.26650	−	0.110804i	−0.565970	−	0.824426i	$-0.691498\pi$
$673$	−32.8559	−	2.87452i	−1.26650	−	0.110804i	−0.700531	+	0.713622i	$0.747054\pi$
$674$	−10.4631	+	2.80359i	−0.403025	+	0.107990i
$675$	1.11615	−	0.506215i	0.0429606	−	0.0194842i
$676$	6.18895	+	10.7196i	0.238036	+	0.412291i
$677$	−4.30914	+	1.15463i	−0.165614	+	0.0443761i	−0.340673	−	0.940182i	$-0.610655\pi$
$677$	−4.30914	+	1.15463i	−0.165614	+	0.0443761i	0.175059	+	0.984558i	$0.443988\pi$
$678$	9.85362	−	6.89958i	0.378426	−	0.264977i
$679$	−3.81692	−	8.18540i	−0.146480	−	0.314127i
$680$	9.06588	−	12.8033i	0.347661	−	0.490983i
$681$	3.89239	+	44.4902i	0.149157	+	1.70487i
$682$	27.0914	−	2.37019i	1.03738	−	0.0907594i
$683$	−11.8299	+	4.30575i	−0.452660	+	0.164755i	−0.558282	−	0.829652i	$-0.688539\pi$
$683$	−11.8299	+	4.30575i	−0.452660	+	0.164755i	0.105621	+	0.994406i	$0.466317\pi$
$684$	3.24588	+	2.27279i	0.124109	+	0.0869022i
$685$	15.3806	+	2.79568i	0.587662	+	0.106817i
$686$	−31.2961	−	14.5936i	−1.19489	−	0.557186i
$687$	4.62131	+	52.8219i	0.176314	+	2.01528i
$688$	−4.34827	−	3.64864i	−0.165776	−	0.139103i
$689$	0.425232	−	1.58699i	0.0162000	−	0.0604594i
$690$	−17.2527	+	20.3423i	−0.656800	+	0.774418i
$691$	35.3318	+	6.22994i	1.34408	+	0.236998i	0.798973	−	0.601367i	$-0.205377\pi$
$691$	35.3318	+	6.22994i	1.34408	+	0.236998i	0.545110	+	0.838365i	$0.316488\pi$
$692$	−4.11234	−	15.3475i	−0.156328	−	0.583423i
$693$	−53.2371	−	14.2648i	−2.02231	−	0.541877i
$694$	−4.56544	+	1.66168i	−0.173302	+	0.0630767i
$695$	4.56899	−	49.2338i	0.173312	−	1.86754i
$696$	6.41904	+	7.64991i	0.243313	+	0.289969i
$697$	−23.6724			−0.896658
$698$	5.60184	+	6.67601i	0.212033	+	0.252691i
$699$	−12.4443	+	34.1904i	−0.470687	+	1.29320i
$700$	−22.4326	+	5.75806i	−0.847872	+	0.217634i
$701$	5.29840	+	7.56691i	0.200118	+	0.285798i	0.906651	−	0.421882i	$-0.138631\pi$
$701$	5.29840	+	7.56691i	0.200118	+	0.285798i	−0.706533	+	0.707681i	$0.749742\pi$
$702$	0.136706	+	0.136706i	0.00515965	+	0.00515965i
$703$	−4.79037	−	6.12650i	−0.180672	−	0.231065i
$704$		−	3.83928i		−	0.144698i
$705$	−21.5813	+	5.66096i	−0.812800	+	0.213204i
$706$	0.977936	−	0.172437i	0.0368051	−	0.00648973i
$707$	−6.82455	−	14.6353i	−0.256664	−	0.550417i
$708$	4.86283	−	4.08040i	0.182756	−	0.153351i
$709$	−31.1408	−	31.1408i	−1.16952	−	1.16952i	−0.982323	−	0.187195i	$-0.940060\pi$
$709$	−31.1408	−	31.1408i	−1.16952	−	1.16952i	−0.187195	−	0.982323i	$-0.559940\pi$
$710$	15.3198	−	32.4063i	0.574940	−	1.21619i
$711$	−7.34573	−	27.4146i	−0.275486	−	1.02813i
$712$	−6.86700	+	14.7263i	−0.257352	+	0.551893i
$713$	8.85499	−	33.0473i	0.331622	−	1.23763i
$714$	40.1287	−	69.5050i	1.50178	−	2.60116i
$715$	6.54964	−	1.71802i	0.244943	−	0.0642505i
$716$	−22.3145	+	10.4054i	−0.833933	+	0.388869i
$717$	6.08021	+	10.5312i	0.227070	+	0.393296i
$718$	2.15981	−	2.57396i	0.0806034	−	0.0960594i
$719$	−4.87394	+	5.80853i	−0.181767	+	0.216622i	−0.849232	−	0.528019i	$-0.822935\pi$
$719$	−4.87394	+	5.80853i	−0.181767	+	0.216622i	0.667465	+	0.744641i	$0.267379\pi$
$720$	4.87445	+	4.92610i	0.181660	+	0.183585i
$721$	−21.9557	+	31.3560i	−0.817673	+	1.16776i
$722$	17.1015	−	3.01546i	0.636453	−	0.112224i
$723$	−10.6487	−	29.2570i	−0.396029	−	1.08808i
$724$	−18.0619	−	15.1558i	−0.671267	−	0.563260i
$725$	−11.7704	+	16.4383i	−0.437141	+	0.610503i
$726$	8.92198	+	2.39064i	0.331126	+	0.0887248i
$727$	4.83323	+	1.75915i	0.179255	+	0.0652433i	0.430088	−	0.902787i	$-0.358482\pi$
$727$	4.83323	+	1.75915i	0.179255	+	0.0652433i	−0.250834	+	0.968030i	$0.580705\pi$
$728$	−2.09550	−	2.99269i	−0.0776644	−	0.110916i
$729$	24.9034	+	14.3780i	0.922349	+	0.532518i
$730$	−10.2580	+	1.75308i	−0.379667	+	0.0648842i
$731$	13.6206	+	37.4224i	0.503777	+	1.38412i
$732$	−5.00347	+	8.66626i	−0.184934	+	0.320314i
$733$	2.14126	−	24.4747i	0.0790892	−	0.903994i	−0.848207	−	0.529665i	$-0.822318\pi$
$733$	2.14126	−	24.4747i	0.0790892	−	0.903994i	0.927296	−	0.374329i	$-0.122127\pi$
$734$	−25.4147	+	25.4147i	−0.938072	+	0.938072i
$735$	−75.1544	+	26.9062i	−2.77211	+	0.992451i
$736$	−4.53878	−	1.65198i	−0.167302	−	0.0608929i
$737$	−2.45304	−	1.71764i	−0.0903590	−	0.0632701i
$738$	1.81588	−	10.2984i	0.0668435	−	0.379088i
$739$	1.28812			0.0473843			0.0236922	−	0.999719i	$-0.492458\pi$
$739$	1.28812			0.0473843			0.0236922	+	0.999719i	$0.492458\pi$
$740$	−6.32679	−	12.0404i	−0.232577	−	0.442615i
$741$	−2.49047			−0.0914897
$742$	1.67545	−	9.50196i	0.0615078	−	0.348828i
$743$	−2.83126	−	1.98247i	−0.103869	−	0.0727297i	0.520488	−	0.853869i	$-0.325750\pi$
$743$	−2.83126	−	1.98247i	−0.103869	−	0.0727297i	−0.624357	+	0.781139i	$0.714639\pi$
$744$	−16.4385	−	5.98312i	−0.602665	−	0.219352i
$745$	28.0675	+	13.2686i	1.02831	+	0.486125i
$746$	3.58645	−	3.58645i	0.131309	−	0.131309i
$747$	4.49728	−	51.4041i	0.164547	−	1.88078i
$748$	−13.4680	+	23.3272i	−0.492438	+	0.852928i
$749$	−18.1106	−	49.7584i	−0.661746	−	1.81813i
$750$	−14.1822	+	23.6912i	−0.517861	+	0.865079i
$751$	16.1808	+	9.34200i	0.590446	+	0.340894i	0.765274	−	0.643705i	$-0.222604\pi$
$751$	16.1808	+	9.34200i	0.590446	+	0.340894i	−0.174828	+	0.984599i	$0.555937\pi$
$752$	−2.31737	−	3.30955i	−0.0845059	−	0.120687i
$753$	−2.97747	−	1.08371i	−0.108505	−	0.0394926i
$754$	−3.08063	−	0.825453i	−0.112190	−	0.0300612i
$755$	0.780289	−	2.85187i	0.0283976	−	0.103790i
$756$	0.869741	+	0.729799i	0.0316322	+	0.0265425i
$757$	−8.58163	−	23.5778i	−0.311905	−	0.856951i	−0.992272	−	0.124080i	$-0.960402\pi$
$757$	−8.58163	−	23.5778i	−0.311905	−	0.856951i	0.680368	−	0.732871i	$-0.261820\pi$
$758$	12.9521	−	2.28380i	0.470441	−	0.0829514i
$759$	26.2684	−	37.5151i	0.953481	−	1.36171i
$760$	−2.85884	−	0.0150677i	−0.103701	−	0.000546564i
$761$	−20.3560	+	24.2594i	−0.737906	+	0.879402i	−0.996238	−	0.0866541i	$-0.972382\pi$
$761$	−20.3560	+	24.2594i	−0.737906	+	0.879402i	0.258333	+	0.966056i	$0.416827\pi$
$762$	5.35472	−	6.38151i	0.193981	−	0.231178i
$763$	13.3961	+	23.2028i	0.484973	+	0.839998i
$764$	11.3962	−	5.31415i	0.412301	−	0.192259i
$765$	−12.3364	−	47.0300i	−0.446022	−	1.70037i
$766$	−17.8791	+	30.9675i	−0.645998	+	1.11890i
$767$	−0.524717	+	1.95827i	−0.0189464	+	0.0707090i
$768$	−1.04373	+	2.23828i	−0.0376622	+	0.0807669i
$769$	10.1365	+	37.8301i	0.365533	+	1.36419i	0.866697	+	0.498835i	$0.166238\pi$
$769$	10.1365	+	37.8301i	0.365533	+	1.36419i	−0.501165	+	0.865352i	$0.667095\pi$
$770$	37.4379	−	13.4032i	1.34917	−	0.483019i
$771$	48.5409	+	48.5409i	1.74816	+	1.74816i
$772$	−3.10706	+	2.60713i	−0.111825	+	0.0938326i
$773$	−13.9138	−	29.8383i	−0.500446	−	1.07321i	−0.980599	−	0.196024i	$-0.937197\pi$
$773$	−13.9138	−	29.8383i	−0.500446	−	1.07321i	0.480153	−	0.877184i	$-0.340581\pi$
$774$	−17.3249	+	3.05485i	−0.622731	+	0.109804i
$775$	3.45850	−	35.2474i	0.124233	−	1.26613i
$776$		−	1.94984i		−	0.0699953i
$777$	−37.9203	−	58.3426i	−1.36038	−	2.09303i
$778$	−16.0867	−	16.0867i	−0.576737	−	0.576737i
$779$	2.47436	+	3.53375i	0.0886531	+	0.126610i
$780$	−4.28546	−	0.778952i	−0.153444	−	0.0278910i
$781$	−21.0496	+	57.8334i	−0.753215	+	2.06944i
$782$	21.7823	+	25.9591i	0.778934	+	0.928297i
$783$	0.991141			0.0354205
$784$	−9.29151	−	11.0732i	−0.331840	−	0.395471i
$785$	−1.13016	−	1.36138i	−0.0403372	−	0.0485898i
$786$	−45.8945	+	16.7042i	−1.63700	+	0.595820i
$787$	2.36095	+	0.632616i	0.0841589	+	0.0225503i	0.300653	−	0.953734i	$-0.402795\pi$
$787$	2.36095	+	0.632616i	0.0841589	+	0.0225503i	−0.216494	+	0.976284i	$0.569462\pi$
$788$	4.66141	+	17.3966i	0.166056	+	0.619729i
$789$	48.8969	+	8.62185i	1.74078	+	0.306946i
$790$	15.6167	+	13.2449i	0.555618	+	0.471232i
$791$	−5.83921	+	21.7922i	−0.207618	+	0.774842i
$792$	−9.11508	−	7.64846i	−0.323890	−	0.271776i
$793$	−0.278542	−	3.18375i	−0.00989133	−	0.113058i
$794$	−11.8813	−	5.54033i	−0.421651	−	0.196619i
$795$	−6.54824	−	9.45755i	−0.232242	−	0.335425i
$796$	8.33932	+	5.83926i	0.295579	+	0.206967i
$797$	−24.4225	+	8.88905i	−0.865088	+	0.314866i	−0.736176	−	0.676790i	$-0.763371\pi$
$797$	−24.4225	+	8.88905i	−0.865088	+	0.314866i	−0.128912	+	0.991656i	$0.541148\pi$
$798$	−14.5699	+	1.27471i	−0.515771	+	0.0451241i
$799$	2.47049	+	28.2378i	0.0873997	+	0.998983i
$800$	−4.91461	−	0.920096i	−0.173758	−	0.0325303i
$801$	21.2826	+	45.6406i	0.751982	+	1.61263i
$802$	−32.5262	+	22.7751i	−1.14854	+	0.804217i
$803$	17.2593	−	4.62463i	0.609069	−	0.163200i
$804$	0.963162	+	1.66825i	0.0339681	+	0.0588345i
$805$	0.263666	−	50.0262i	0.00929302	−	1.76319i
$806$	5.39652	−	1.44599i	0.190084	−	0.0509330i
$807$	−32.2647	−	2.82280i	−1.13577	−	0.0993672i
$808$		−	3.48627i		−	0.122647i
$809$	2.99991	−	34.2891i	0.105471	−	1.20554i	−0.740405	−	0.672161i	$-0.765366\pi$
$809$	2.99991	−	34.2891i	0.105471	−	1.20554i	0.845876	−	0.533379i	$-0.179078\pi$
$810$	−19.3715	+	1.59195i	−0.680645	+	0.0559355i
$811$	−1.61679	−	9.16925i	−0.0567731	−	0.321976i	0.943174	−	0.332300i	$-0.107825\pi$
$811$	−1.61679	−	9.16925i	−0.0567731	−	0.321976i	−0.999947	+	0.0103243i	$0.996714\pi$
$812$	−18.4451	−	3.25236i	−0.647295	−	0.114136i
$813$	−21.4403	+	21.4403i	−0.751944	+	0.751944i
$814$	12.7268	+	19.5809i	0.446073	+	0.686310i
$815$	7.80289	+	16.9662i	0.273323	+	0.594302i
$816$	14.1934	−	9.93830i	0.496867	−	0.347910i
$817$	4.16261	−	5.94482i	0.145631	−	0.207983i
$818$	−5.09389	+	2.37532i	−0.178104	+	0.0830511i
$819$	−11.2797	−	0.986846i	−0.394145	−	0.0344832i
$820$	3.15247	+	6.85458i	0.110089	+	0.239372i
$821$	23.9303	−	20.0799i	0.835173	−	0.700794i	−0.121299	−	0.992616i	$-0.538706\pi$
$821$	23.9303	−	20.0799i	0.835173	−	0.700794i	0.956473	+	0.291822i	$0.0942616\pi$
$822$	14.9526	+	8.63286i	0.521530	+	0.301106i
$823$	−27.8577	−	12.9903i	−0.971058	−	0.452812i	−0.128673	−	0.991687i	$-0.541072\pi$
$823$	−27.8577	−	12.9903i	−0.971058	−	0.452812i	−0.842386	+	0.538875i	$0.818849\pi$
$824$	−7.15685	+	4.13201i	−0.249321	+	0.143945i
$825$	20.4876	−	42.7533i	0.713286	−	1.48848i
$826$	−2.06743	+	11.7250i	−0.0719352	+	0.407965i
$827$	−8.23810	+	22.6340i	−0.286467	+	0.787061i	0.710087	+	0.704114i	$0.248655\pi$
$827$	−8.23810	+	22.6340i	−0.286467	+	0.787061i	−0.996554	+	0.0829471i	$0.973567\pi$
$828$	−12.9641	+	7.48480i	−0.450532	+	0.260115i
$829$	−42.9746	+	3.75979i	−1.49257	+	0.130583i	−0.804019	−	0.594604i	$-0.797309\pi$
$829$	−42.9746	+	3.75979i	−1.49257	+	0.130583i	−0.688552	+	0.725187i	$0.741753\pi$
$830$	18.4443	+	32.3390i	0.640212	+	1.12250i
$831$	−13.8007	+	29.5956i	−0.478739	+	1.02666i
$832$	−0.136963	−	0.776754i	−0.00474833	−	0.0269291i
$833$	17.6105	+	99.8742i	0.610168	+	3.46043i
$834$	23.0795	−	49.4942i	0.799179	−	1.71384i
$835$	−4.30382	+	15.7300i	−0.148940	+	0.544359i
$836$	4.88996	−	0.427816i	0.169123	−	0.0147963i
$837$	−1.50363	+	0.868119i	−0.0519729	+	0.0300066i
$838$	−7.66008	+	21.0459i	−0.264613	+	0.727019i
$839$	−8.80484	+	49.9347i	−0.303977	+	1.72394i	0.324306	+	0.945952i	$0.394869\pi$
$839$	−8.80484	+	49.9347i	−0.303977	+	1.72394i	−0.628282	+	0.777985i	$0.716242\pi$
$840$	−25.4698	−	2.36365i	−0.878792	−	0.0815537i
$841$	10.9549	−	6.32480i	0.377754	−	0.218097i
$842$	1.06748	+	0.497775i	0.0367878	+	0.0171544i
$843$	36.5802	+	21.1196i	1.25989	+	0.727397i
$844$	−17.6320	+	14.7950i	−0.606918	+	0.509264i
$845$	−25.1459	+	11.5648i	−0.865046	+	0.397840i
$846$	−12.4740	−	1.09133i	−0.428865	−	0.0375208i
$847$	−15.7007	+	7.32136i	−0.539483	+	0.251565i
$848$	1.19478	−	1.70633i	0.0410290	−	0.0585955i
$849$	−45.0142	+	31.5193i	−1.54489	+	1.08174i
$850$	26.6332	+	22.8306i	0.913513	+	0.783085i
$851$	28.6246	−	6.62020i	0.981239	−	0.226938i
$852$	27.9941	−	27.9941i	0.959062	−	0.959062i
$853$	3.45260	+	0.608787i	0.118215	+	0.0208445i	0.232443	−	0.972610i	$-0.425328\pi$
$853$	3.45260	+	0.608787i	0.118215	+	0.0208445i	−0.114228	+	0.993455i	$0.536439\pi$
$854$	−3.25910	−	18.4833i	−0.111524	−	0.632485i
$855$	−5.73104	+	6.75734i	−0.195997	+	0.231096i
$856$	0.996350	−	11.3883i	0.0340546	−	0.389245i
$857$			27.2830i			0.931970i	0.884793	+	0.465985i	$0.154300\pi$
$857$			27.2830i			0.931970i	−0.884793	+	0.465985i	$0.845700\pi$
$858$	7.45014	+	0.651802i	0.254343	+	0.0222522i
$859$	36.4826	−	9.77548i	1.24477	−	0.333535i	0.424456	−	0.905449i	$-0.360466\pi$
$859$	36.4826	−	9.77548i	1.24477	−	0.333535i	0.820314	+	0.571914i	$0.193799\pi$
$860$	9.02215	−	8.92754i	0.307653	−	0.304427i
$861$	19.2989	+	33.4267i	0.657705	+	1.13918i
$862$	−7.75005	+	2.07662i	−0.263968	+	0.0707299i
$863$	35.4283	−	24.8072i	1.20599	−	0.844446i	0.214774	−	0.976664i	$-0.431099\pi$
$863$	35.4283	−	24.8072i	1.20599	−	0.844446i	0.991221	+	0.132218i	$0.0422098\pi$
$864$	0.103590	+	0.222150i	0.00352422	+	0.00755771i
$865$	35.0208	−	5.98498i	1.19074	−	0.203495i
$866$	−2.82430	−	32.2819i	−0.0959737	−	1.09698i
$867$	−79.2765	+	6.93580i	−2.69237	+	0.235552i
$868$	30.8311	−	11.2216i	1.04647	−	0.380886i
$869$	−28.8003	−	20.1662i	−0.976982	−	0.684090i
$870$	−18.3589	+	12.7113i	−0.622424	+	0.430955i
$871$	−0.557569	−	0.259999i	−0.0188925	−	0.00880972i
$872$	0.504129	+	5.76222i	0.0170720	+	0.195133i
$873$	−4.62925	−	3.88440i	−0.156676	−	0.131467i
$874$	1.59831	−	5.96497i	0.0540636	−	0.201768i
$875$	−8.18521	−	51.1359i	−0.276711	−	1.72871i
$876$	−11.3193	−	1.99590i	−0.382445	−	0.0674353i
$877$	4.25668	+	15.8861i	0.143738	+	0.536437i	0.999808	+	0.0195776i	$0.00623216\pi$
$877$	4.25668	+	15.8861i	0.143738	+	0.536437i	−0.856071	+	0.516859i	$0.827101\pi$
$878$	31.3557	+	8.40174i	1.05820	+	0.283545i
$879$	16.3879	−	5.96472i	0.552751	−	0.201185i
$880$	8.54816	+	0.793286i	0.288158	+	0.0267417i
$881$	30.6807	+	36.5639i	1.03366	+	1.23187i	0.972296	+	0.233753i	$0.0751008\pi$
$881$	30.6807	+	36.5639i	1.03366	+	1.23187i	0.0613648	+	0.998115i	$0.480455\pi$
$882$	−44.7998			−1.50849
$883$	−16.7510	−	19.9631i	−0.563718	−	0.671813i	0.406611	−	0.913601i	$-0.366710\pi$
$883$	−16.7510	−	19.9631i	−0.563718	−	0.671813i	−0.970329	+	0.241789i	$0.922266\pi$
$884$	−1.89263	+	5.19997i	−0.0636562	+	0.174894i
$885$	8.08023	+	11.6702i	0.271614	+	0.392289i
$886$	14.4094	+	20.5788i	0.484095	+	0.691359i
$887$	10.9360	+	10.9360i	0.367196	+	0.367196i	0.866453	−	0.499258i	$-0.166394\pi$
$887$	10.9360	+	10.9360i	0.367196	+	0.367196i	−0.499258	+	0.866453i	$0.666394\pi$
$888$	−2.09648	−	14.8754i	−0.0703533	−	0.499185i
$889$			15.6241i			0.524016i
$890$	−31.3693	−	18.3322i	−1.05150	−	0.614497i
$891$	32.8655	−	5.79508i	1.10104	−	0.194143i
$892$	2.41317	+	5.17506i	0.0807989	+	0.173274i
$893$	3.95703	−	3.32034i	0.132417	−	0.111111i
$894$	24.2460	+	24.2460i	0.810909	+	0.810909i
$895$	−18.5570	−	51.8333i	−0.620292	−	1.73260i
$896$	−1.19884	−	4.47413i	−0.0400504	−	0.149470i
$897$	3.97624	−	8.52707i	0.132763	−	0.284710i
$898$	0.408611	−	1.52496i	0.0136355	−	0.0508884i
$899$	14.3210	−	24.8046i	0.477631	−	0.827281i
$900$	−11.9752	+	9.83512i	−0.399172	+	0.327837i
$901$	−13.2451	+	6.17630i	−0.441259	+	0.205762i
$902$	−6.47709	−	11.2186i	−0.215663	−	0.373540i
$903$	41.7382	−	49.7416i	1.38896	−	1.65530i
$904$	−3.13084	+	3.73119i	−0.104130	+	0.124097i
$905$	37.4764	−	37.0834i	1.24576	−	1.23269i
$906$	1.87305	−	2.67500i	0.0622280	−	0.0888708i
$907$	5.58342	−	0.984507i	0.185394	−	0.0326900i	−0.0801800	−	0.996780i	$-0.525550\pi$
$907$	5.58342	−	0.984507i	0.185394	−	0.0326900i	0.265574	+	0.964090i	$0.414438\pi$
$908$	−6.18491	−	16.9929i	−0.205254	−	0.563929i
$909$	−8.27699	−	6.94522i	−0.274530	−	0.230358i
$910$	7.09620	−	4.04728i	0.235237	−	0.134166i
$911$	0.335908	+	0.0900062i	0.0111291	+	0.00298204i	0.264379	−	0.964419i	$-0.414833\pi$
$911$	0.335908	+	0.0900062i	0.0111291	+	0.00298204i	−0.253250	+	0.967401i	$0.581500\pi$
$912$	−2.96712	−	1.07994i	−0.0982512	−	0.0357605i
$913$	−36.6638	−	52.3614i	−1.21340	−	1.73291i
$914$	23.6118	+	13.6323i	0.781008	+	0.450915i
$915$	−18.2616	−	12.9309i	−0.603710	−	0.427482i
$916$	−7.34316	−	20.1752i	−0.242625	−	0.666606i
$917$	45.8006	−	79.3290i	1.51247	−	2.61967i
$918$	0.149882	−	1.71316i	0.00494685	−	0.0565428i
$919$	25.6653	−	25.6653i	0.846619	−	0.846619i	−0.143091	−	0.989710i	$-0.545704\pi$
$919$	25.6653	−	25.6653i	0.846619	−	0.846619i	0.989710	+	0.143091i	$0.0457040\pi$
$920$	4.61596	−	9.76427i	0.152184	−	0.321918i
$921$	12.0300	+	4.37855i	0.396401	+	0.144278i
$922$	9.03845	+	6.32879i	0.297666	+	0.208428i
$923$	−2.19556	+	12.4517i	−0.0722678	+	0.409851i
$924$	43.9190			1.44483
$925$	28.1153	−	11.5988i	0.924425	−	0.381365i
$926$	0.249725			0.00820648
$927$	−4.44752	+	25.2232i	−0.146076	+	0.828437i
$928$	−3.31229	−	2.31929i	−0.108731	−	0.0761345i
$929$	−32.5135	−	11.8339i	−1.06673	−	0.388259i	−0.251779	−	0.967785i	$-0.581016\pi$
$929$	−32.5135	−	11.8339i	−1.06673	−	0.388259i	−0.814954	+	0.579526i	$0.803238\pi$
$930$	16.7180	−	35.3641i	0.548205	−	1.15963i
$931$	13.0682	−	13.0682i	0.428292	−	0.428292i
$932$	1.28403	−	14.6766i	0.0420599	−	0.480747i
$933$	−15.6300	+	27.0719i	−0.511702	+	0.886294i
$934$	1.35964	+	3.73558i	0.0444887	+	0.122232i
$935$	−49.1553	−	34.8064i	−1.60755	−	1.13829i
$936$	−2.11699	−	1.22225i	−0.0691961	−	0.0399504i
$937$	15.7210	+	22.4519i	0.513582	+	0.733471i	0.989263	−	0.146147i	$-0.0466872\pi$
$937$	15.7210	+	22.4519i	0.513582	+	0.733471i	−0.475681	+	0.879618i	$0.657798\pi$
$938$	−3.39501	−	1.23568i	−0.110851	−	0.0403465i
$939$	−35.3592	−	9.47447i	−1.15390	−	0.309187i
$940$	7.84754	−	4.47580i	0.255959	−	0.145985i
$941$	−18.4458	−	15.4779i	−0.601317	−	0.504565i	0.290552	−	0.956859i	$-0.406161\pi$
$941$	−18.4458	−	15.4779i	−0.601317	−	0.504565i	−0.891869	+	0.452295i	$0.850606\pi$
$942$	−0.668376	−	1.83635i	−0.0217769	−	0.0598314i
$943$	−16.0496	+	2.82998i	−0.522648	+	0.0921570i
$944$	−1.47431	+	2.10553i	−0.0479846	+	0.0685291i
$945$	−1.80461	+	1.78568i	−0.0587039	+	0.0580883i
$946$	−14.0081	+	16.6942i	−0.455444	+	0.542776i
$947$	3.29540	−	3.92731i	0.107086	−	0.127620i	−0.709839	−	0.704364i	$-0.751232\pi$
$947$	3.29540	−	3.92731i	0.107086	−	0.127620i	0.816925	+	0.576744i	$0.195677\pi$
$948$	11.3081	+	19.5862i	0.367271	+	0.636131i
$949$	3.32689	−	1.55136i	0.107995	−	0.0503591i
$950$	0.624253	−	6.36210i	0.0202534	−	0.206414i
$951$	−14.0285	+	24.2980i	−0.454905	+	0.787918i
$952$	−8.41092	+	31.3900i	−0.272600	+	1.01736i
$953$	−0.421961	+	0.904899i	−0.0136687	+	0.0293125i	−0.913024	−	0.407907i	$-0.866259\pi$
$953$	−0.421961	+	0.904899i	−0.0136687	+	0.0293125i	0.899355	+	0.437219i	$0.144037\pi$
$954$	−1.67090	−	6.23588i	−0.0540974	−	0.201894i
$955$	9.47722	+	26.4717i	0.306676	+	0.856605i
$956$	−3.48173	−	3.48173i	−0.112607	−	0.112607i
$957$	29.3701	−	24.6445i	0.949402	−	0.796643i
$958$	2.65888	+	5.70199i	0.0859046	+	0.184223i
$959$	−31.8906	+	5.62317i	−1.02980	+	0.181582i
$960$	−4.76787	−	2.78634i	−0.153882	−	0.0899287i
$961$			19.1737i			0.618507i
$962$	3.27338	+	3.50755i	0.105538	+	0.113088i
$963$	−25.0529	−	25.0529i	−0.807318	−	0.807318i
$964$	7.23098	+	10.3269i	0.232894	+	0.332607i
$965$	−5.16278	−	7.45656i	−0.166196	−	0.240035i
$966$	18.8977	−	51.9209i	0.608022	−	1.67053i
$967$	−22.4526	−	26.7580i	−0.722028	−	0.860480i	0.272798	−	0.962071i	$-0.412051\pi$
$967$	−22.4526	−	26.7580i	−0.722028	−	0.860480i	−0.994826	+	0.101591i	$0.967607\pi$
$968$	−3.74006			−0.120210
$969$	14.2397	+	16.9702i	0.457444	+	0.545160i
$970$	4.34133	+	0.402884i	0.139392	+	0.0129358i
$971$	−22.7012	+	8.26255i	−0.728515	+	0.265158i	−0.679536	−	0.733642i	$-0.737819\pi$
$971$	−22.7012	+	8.26255i	−0.728515	+	0.265158i	−0.0489788	+	0.998800i	$0.515597\pi$
$972$	−21.4461	−	5.74647i	−0.687885	−	0.184318i
$973$	26.5095	+	98.9347i	0.849855	+	3.17170i
$974$	5.80688	+	1.02391i	0.186065	+	0.0328082i
$975$	2.61981	−	9.38062i	0.0839012	−	0.300420i
$976$	1.04872	−	3.91387i	0.0335687	−	0.125280i
$977$	5.76041	+	4.83356i	0.184292	+	0.154639i	0.730266	−	0.683163i	$-0.239396\pi$
$977$	5.76041	+	4.83356i	0.184292	+	0.154639i	−0.545974	+	0.837802i	$0.683840\pi$
$978$	1.79763	+	20.5470i	0.0574817	+	0.657019i
$979$	56.5385	+	26.3643i	1.80698	+	0.842608i
$980$	26.5743	−	18.3996i	0.848886	−	0.587753i
$981$	14.6848	+	10.2824i	0.468848	+	0.328291i
$982$	−6.39519	+	2.32766i	−0.204079	+	0.0742785i
$983$	−44.0618	+	3.85491i	−1.40535	+	0.122952i	−0.764457	−	0.644675i	$-0.776993\pi$
$983$	−44.0618	+	3.85491i	−1.40535	+	0.122952i	−0.640896	+	0.767628i	$0.721437\pi$
$984$	0.726264	+	8.30123i	0.0231524	+	0.264634i
$985$	−39.6968	+	6.78408i	−1.26484	+	0.216159i
$986$	11.9893	+	25.7112i	0.381818	+	0.818812i
$987$	37.8592	−	26.5093i	1.20507	−	0.843801i
$988$	0.974063	−	0.260999i	0.0309891	−	0.00830349i
$989$	13.7084	+	23.7436i	0.435902	+	0.755004i
$990$	18.9127	−	18.7144i	0.601085	−	0.594782i
$991$	1.19917	−	0.321318i	0.0380930	−	0.0102070i	−0.239722	−	0.970842i	$-0.577056\pi$
$991$	1.19917	−	0.321318i	0.0380930	−	0.0102070i	0.277815	+	0.960635i	$0.410390\pi$
$992$	7.05639	+	0.617354i	0.224040	+	0.0196010i
$993$			35.5450i			1.12799i
$994$	−6.47148	+	73.9694i	−0.205263	+	2.34617i
$995$	−14.7242	+	17.3610i	−0.466789	+	0.550380i
$996$	7.14012	+	40.4936i	0.226243	+	1.28309i
$997$	8.78539	+	1.54910i	0.278236	+	0.0490605i	0.311025	−	0.950402i	$-0.399328\pi$
$997$	8.78539	+	1.54910i	0.278236	+	0.0490605i	−0.0327888	+	0.999462i	$0.510439\pi$
$998$	9.85972	−	9.85972i	0.312104	−	0.312104i
$999$	−1.26473	−	0.789609i	−0.0400143	−	0.0249821i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.ba.a.283.8	yes	108
5.2	odd	4		370.2.bd.a.357.8	yes	108
37.17	odd	36		370.2.bd.a.313.8	yes	108
185.17	even	36	inner	370.2.ba.a.17.8	✓	108

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.ba.a.17.8	✓	108	185.17	even	36	inner
370.2.ba.a.283.8	yes	108	1.1	even	1	trivial
370.2.bd.a.313.8	yes	108	37.17	odd	36
370.2.bd.a.357.8	yes	108	5.2	odd	4

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:	\( N \)	\(=\)	\( 370 = 2 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	370.ba (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.173648 - 0.984808i) q^{2} +(2.02303 + 1.41654i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(0.955671 - 2.02156i) q^{5} +(1.74632 - 1.74632i) q^{6} +(-0.403702 + 4.61433i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(1.06001 + 2.91234i) q^{9} +O(q^{10})\)	\(q+(0.173648 - 0.984808i) q^{2} +(2.02303 + 1.41654i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(0.955671 - 2.02156i) q^{5} +(1.74632 - 1.74632i) q^{6} +(-0.403702 + 4.61433i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(1.06001 + 2.91234i) q^{9} +(-1.82489 - 1.29219i) q^{10} +(3.32491 + 1.91964i) q^{11} +(-1.41654 - 2.02303i) q^{12} +(0.741170 + 0.269764i) q^{13} +(4.47413 + 1.19884i) q^{14} +(4.79697 - 2.73593i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-2.39958 - 6.59278i) q^{17} +(3.05217 - 0.538179i) q^{18} +(-0.733335 + 1.04731i) q^{19} +(-1.58945 + 1.57278i) q^{20} +(-7.35310 + 8.76308i) q^{21} +(2.46784 - 2.94106i) q^{22} +(-2.41504 - 4.18296i) q^{23} +(-2.23828 + 1.04373i) q^{24} +(-3.17339 - 3.86389i) q^{25} +(0.394368 - 0.683066i) q^{26} +(-0.0634406 + 0.236764i) q^{27} +(1.95755 - 4.19798i) q^{28} +(-1.04655 - 3.90578i) q^{29} +(-1.86138 - 5.19919i) q^{30} +(5.00868 + 5.00868i) q^{31} +(0.766044 - 0.642788i) q^{32} +(4.00716 + 8.59337i) q^{33} +(-6.90930 + 1.21830i) q^{34} +(8.94233 + 5.22589i) q^{35} -3.09925i q^{36} +(-1.77617 + 5.81766i) q^{37} +(0.904057 + 0.904057i) q^{38} +(1.11728 + 1.59564i) q^{39} +(1.27288 + 1.83841i) q^{40} +(1.15402 - 3.17063i) q^{41} +(7.35310 + 8.76308i) q^{42} -5.67627 q^{43} +(-2.46784 - 2.94106i) q^{44} +(6.90048 + 0.640379i) q^{45} +(-4.53878 + 1.65198i) q^{46} +(-3.90255 - 1.04568i) q^{47} +(0.639197 + 2.38551i) q^{48} +(-14.2354 - 2.51009i) q^{49} +(-4.35624 + 2.45422i) q^{50} +(4.48453 - 16.7365i) q^{51} +(-0.604207 - 0.506990i) q^{52} +(-0.181549 - 2.07511i) q^{53} +(0.222150 + 0.103590i) q^{54} +(7.05818 - 4.88696i) q^{55} +(-3.79428 - 2.65678i) q^{56} +(-2.96712 + 1.07994i) q^{57} +(-4.02818 + 0.352420i) q^{58} +(0.224023 + 2.56059i) q^{59} +(-5.44342 + 0.930268i) q^{60} +(-1.71242 - 3.67230i) q^{61} +(5.80233 - 4.06284i) q^{62} +(-13.8664 + 3.71550i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(1.25366 - 1.24051i) q^{65} +(9.15865 - 2.45405i) q^{66} +(-0.777026 - 0.0679809i) q^{67} +7.01589i q^{68} +(1.03965 - 11.8833i) q^{69} +(6.69931 - 7.89901i) q^{70} +(2.78364 + 15.7868i) q^{71} +(-3.05217 - 0.538179i) q^{72} +(3.29091 - 3.29091i) q^{73} +(5.42085 + 2.75941i) q^{74} +(-0.946502 - 12.3120i) q^{75} +(1.04731 - 0.733335i) q^{76} +(-10.2001 + 14.5673i) q^{77} +(1.76541 - 0.823225i) q^{78} +(-9.12276 - 0.798138i) q^{79} +(2.03152 - 0.934309i) q^{80} +(6.65876 - 5.58737i) q^{81} +(-2.92207 - 1.68706i) q^{82} +(-15.0894 - 7.03631i) q^{83} +(9.90680 - 5.71969i) q^{84} +(-15.6209 - 1.44965i) q^{85} +(-0.985674 + 5.59003i) q^{86} +(3.41550 - 9.38400i) q^{87} +(-3.32491 + 1.91964i) q^{88} +(16.1869 - 1.41617i) q^{89} +(1.82891 - 6.68445i) q^{90} +(-1.54399 + 3.31110i) q^{91} +(0.838733 + 4.75669i) q^{92} +(3.03771 + 17.2277i) q^{93} +(-1.70747 + 3.66168i) q^{94} +(1.41637 + 2.48336i) q^{95} +(2.46027 - 0.215246i) q^{96} +(-1.68861 + 0.974922i) q^{97} +(-4.94391 + 13.5833i) q^{98} +(-2.06622 + 11.7181i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 108 q - 6 q^{3} + 6 q^{5} - 54 q^{8}+O(q^{10}) \) 108 * q - 6 * q^3 + 6 * q^5 - 54 * q^8	\( 108 q - 6 q^{3} + 6 q^{5} - 54 q^{8} - 12 q^{10} + 36 q^{11} - 6 q^{12} + 6 q^{13} + 12 q^{14} + 24 q^{15} + 12 q^{19} - 6 q^{20} - 42 q^{21} - 6 q^{22} - 6 q^{24} - 18 q^{25} - 6 q^{26} + 6 q^{27} - 12 q^{30} + 6 q^{33} - 54 q^{35} + 12 q^{37} + 48 q^{38} - 12 q^{40} + 48 q^{41} + 42 q^{42} + 6 q^{44} - 90 q^{45} + 6 q^{46} - 12 q^{47} - 12 q^{49} - 12 q^{50} - 12 q^{51} + 6 q^{52} + 36 q^{53} - 18 q^{54} + 36 q^{57} + 6 q^{58} + 24 q^{59} - 54 q^{60} - 36 q^{61} + 54 q^{62} - 96 q^{63} - 54 q^{64} - 18 q^{65} - 42 q^{67} - 96 q^{69} - 12 q^{70} - 48 q^{71} + 84 q^{73} + 42 q^{74} + 252 q^{75} - 6 q^{76} - 66 q^{77} - 24 q^{78} + 66 q^{79} + 6 q^{80} - 108 q^{81} + 36 q^{82} + 48 q^{83} - 36 q^{85} + 108 q^{87} - 36 q^{88} - 66 q^{89} + 6 q^{90} - 18 q^{91} - 12 q^{92} - 12 q^{93} + 18 q^{94} + 90 q^{95} + 12 q^{96} - 72 q^{97} - 24 q^{98} - 42 q^{99}+O(q^{100}) \) 108 * q - 6 * q^3 + 6 * q^5 - 54 * q^8 - 12 * q^10 + 36 * q^11 - 6 * q^12 + 6 * q^13 + 12 * q^14 + 24 * q^15 + 12 * q^19 - 6 * q^20 - 42 * q^21 - 6 * q^22 - 6 * q^24 - 18 * q^25 - 6 * q^26 + 6 * q^27 - 12 * q^30 + 6 * q^33 - 54 * q^35 + 12 * q^37 + 48 * q^38 - 12 * q^40 + 48 * q^41 + 42 * q^42 + 6 * q^44 - 90 * q^45 + 6 * q^46 - 12 * q^47 - 12 * q^49 - 12 * q^50 - 12 * q^51 + 6 * q^52 + 36 * q^53 - 18 * q^54 + 36 * q^57 + 6 * q^58 + 24 * q^59 - 54 * q^60 - 36 * q^61 + 54 * q^62 - 96 * q^63 - 54 * q^64 - 18 * q^65 - 42 * q^67 - 96 * q^69 - 12 * q^70 - 48 * q^71 + 84 * q^73 + 42 * q^74 + 252 * q^75 - 6 * q^76 - 66 * q^77 - 24 * q^78 + 66 * q^79 + 6 * q^80 - 108 * q^81 + 36 * q^82 + 48 * q^83 - 36 * q^85 + 108 * q^87 - 36 * q^88 - 66 * q^89 + 6 * q^90 - 18 * q^91 - 12 * q^92 - 12 * q^93 + 18 * q^94 + 90 * q^95 + 12 * q^96 - 72 * q^97 - 24 * q^98 - 42 * q^99

Introduction

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