LMFDB - Embedded newform 285.2.bf.c.89.25

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [285,2,Mod(14,285)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(285, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 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("285.14");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 285 = 3 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	285.bf (of order $18$, degree $6$, 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:	$2.27573645761$
Analytic rank:	$0$
Dimension:	$192$
Relative dimension:	$32$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			89.25
Character	$\chi$	$=$	285.89
Dual form			285.2.bf.c.269.25

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.964769 + 1.14977i) q^{2} +(-1.19452 - 1.25424i) q^{3} +(-0.0438883 + 0.248903i) q^{4} +(-1.75329 + 1.38780i) q^{5} +(0.289647 - 2.58347i) q^{6} +(3.63963 + 2.10134i) q^{7} +(2.27114 - 1.31124i) q^{8} +(-0.146237 + 2.99643i) q^{9} +O(q^{10})$	\(q+(0.964769 + 1.14977i) q^{2} +(-1.19452 - 1.25424i) q^{3} +(-0.0438883 + 0.248903i) q^{4} +(-1.75329 + 1.38780i) q^{5} +(0.289647 - 2.58347i) q^{6} +(3.63963 + 2.10134i) q^{7} +(2.27114 - 1.31124i) q^{8} +(-0.146237 + 2.99643i) q^{9} +(-3.28716 - 0.676962i) q^{10} +(1.49500 - 0.863138i) q^{11} +(0.364609 - 0.242273i) q^{12} +(5.21347 - 1.89755i) q^{13} +(1.09535 + 6.21203i) q^{14} +(3.83497 + 0.541283i) q^{15} +(4.17374 + 1.51912i) q^{16} +(-0.681701 + 0.572015i) q^{17} +(-3.58628 + 2.72273i) q^{18} +(-4.24769 - 0.978350i) q^{19} +(-0.268479 - 0.497306i) q^{20} +(-1.71203 - 7.07506i) q^{21} +(2.43474 + 0.886172i) q^{22} +(-1.33609 + 7.57735i) q^{23} +(-4.35753 - 1.28225i) q^{24} +(1.14802 - 4.86642i) q^{25} +(7.21153 + 4.16358i) q^{26} +(3.93293 - 3.39589i) q^{27} +(-0.682766 + 0.813689i) q^{28} +(-1.18770 - 0.996598i) q^{29} +(3.07751 + 4.93154i) q^{30} +(-2.32234 - 1.34080i) q^{31} +(0.486183 + 1.33578i) q^{32} +(-2.86839 - 0.844051i) q^{33} +(-1.31537 - 0.231935i) q^{34} +(-9.29754 + 1.36683i) q^{35} +(-0.739403 - 0.167907i) q^{36} -0.131361 q^{37} +(-2.97316 - 5.82773i) q^{38} +(-8.60758 - 4.27228i) q^{39} +(-2.16221 + 5.45087i) q^{40} +(-5.21640 - 1.89862i) q^{41} +(6.48296 - 8.79423i) q^{42} +(-4.83329 + 0.852239i) q^{43} +(0.149225 + 0.409991i) q^{44} +(-3.90206 - 5.45655i) q^{45} +(-10.0012 + 5.77420i) q^{46} +(-7.04165 - 5.90864i) q^{47} +(-3.08029 - 7.04950i) q^{48} +(5.33125 + 9.23399i) q^{49} +(6.70282 - 3.37502i) q^{50} +(1.53175 + 0.171733i) q^{51} +(0.243495 + 1.38093i) q^{52} +(6.80485 + 1.19988i) q^{53} +(7.69885 + 1.24571i) q^{54} +(-1.42330 + 3.58809i) q^{55} +11.0214 q^{56} +(3.84686 + 6.49628i) q^{57} -2.32706i q^{58} +(-1.92545 + 1.61564i) q^{59} +(-0.303037 + 0.930779i) q^{60} +(1.43301 - 8.12701i) q^{61} +(-0.698910 - 3.96372i) q^{62} +(-6.82877 + 10.5986i) q^{63} +(3.37483 - 5.84538i) q^{64} +(-6.50728 + 10.5622i) q^{65} +(-1.79687 - 4.11229i) q^{66} +(3.98162 + 3.34098i) q^{67} +(-0.112457 - 0.194782i) q^{68} +(11.0998 - 7.37553i) q^{69} +(-10.5415 - 9.37133i) q^{70} +(-0.165181 - 0.936786i) q^{71} +(3.59692 + 6.99706i) q^{72} +(-4.66010 + 12.8035i) q^{73} +(-0.126733 - 0.151035i) q^{74} +(-7.47499 + 4.37315i) q^{75} +(0.429938 - 1.01432i) q^{76} +7.25498 q^{77} +(-3.39220 - 14.0185i) q^{78} +(2.08784 - 5.73631i) q^{79} +(-9.42600 + 3.12888i) q^{80} +(-8.95723 - 0.876380i) q^{81} +(-2.84966 - 7.82937i) q^{82} +(5.19192 - 8.99266i) q^{83} +(1.83614 - 0.115616i) q^{84} +(0.401373 - 1.94897i) q^{85} +(-5.64288 - 4.73494i) q^{86} +(0.168759 + 2.68012i) q^{87} +(2.26357 - 3.92061i) q^{88} +(-2.06828 + 0.752793i) q^{89} +(2.50918 - 9.75077i) q^{90} +(22.9625 + 4.04890i) q^{91} +(-1.82739 - 0.665114i) q^{92} +(1.09240 + 4.51439i) q^{93} -13.7967i q^{94} +(8.80516 - 4.17961i) q^{95} +(1.09463 - 2.20540i) q^{96} +(1.38420 - 1.16148i) q^{97} +(-5.47351 + 15.0384i) q^{98} +(2.36771 + 4.60589i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 192 q - 12 q^{4} - 30 q^{6} - 12 q^{9}+O(q^{10}) $ 192 * q - 12 * q^4 - 30 * q^6 - 12 * q^9	$ 192 q - 12 q^{4} - 30 q^{6} - 12 q^{9} + 18 q^{10} + 15 q^{15} - 36 q^{16} - 48 q^{19} - 30 q^{21} - 156 q^{24} - 12 q^{25} - 24 q^{30} - 36 q^{31} + 24 q^{34} - 6 q^{36} - 6 q^{40} - 30 q^{45} + 36 q^{46} + 60 q^{49} + 24 q^{51} - 6 q^{54} - 90 q^{55} + 90 q^{60} + 12 q^{61} - 60 q^{64} + 108 q^{66} + 90 q^{69} - 18 q^{70} - 132 q^{76} - 120 q^{79} + 36 q^{81} + 198 q^{84} - 66 q^{85} - 114 q^{90} - 72 q^{91} + 144 q^{96} + 78 q^{99}+O(q^{100}) $ 192 * q - 12 * q^4 - 30 * q^6 - 12 * q^9 + 18 * q^10 + 15 * q^15 - 36 * q^16 - 48 * q^19 - 30 * q^21 - 156 * q^24 - 12 * q^25 - 24 * q^30 - 36 * q^31 + 24 * q^34 - 6 * q^36 - 6 * q^40 - 30 * q^45 + 36 * q^46 + 60 * q^49 + 24 * q^51 - 6 * q^54 - 90 * q^55 + 90 * q^60 + 12 * q^61 - 60 * q^64 + 108 * q^66 + 90 * q^69 - 18 * q^70 - 132 * q^76 - 120 * q^79 + 36 * q^81 + 198 * q^84 - 66 * q^85 - 114 * q^90 - 72 * q^91 + 144 * q^96 + 78 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/285\mathbb{Z}\right)^\times$.

$n$	$172$	$191$	$211$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{5}{18}\right)$

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 $

$2$	0.964769	+	1.14977i	0.682195	+	0.813008i	0.990388	−	0.138316i	$-0.0441689\pi$
$2$	0.964769	+	1.14977i	0.682195	+	0.813008i	−0.308194	+	0.951324i	$0.599724\pi$
$3$	−1.19452	−	1.25424i	−0.689657	−	0.724136i
$3$	−1.19452	−	1.25424i	−0.689657	−	0.724136i
$4$	−0.0438883	+	0.248903i	−0.0219441	+	0.124451i
$5$	−1.75329	+	1.38780i	−0.784093	+	0.620643i
$5$	−1.75329	+	1.38780i	−0.784093	+	0.620643i
$6$	0.289647	−	2.58347i	0.118248	−	1.05470i
$7$	3.63963	+	2.10134i	1.37565	+	0.794231i	0.991632	−	0.129095i	$-0.0412072\pi$
$7$	3.63963	+	2.10134i	1.37565	+	0.794231i	0.384017	+	0.923326i	$0.374540\pi$
$8$	2.27114	−	1.31124i	0.802968	−	0.463594i
$9$	−0.146237	+	2.99643i	−0.0487457	+	0.998811i
$10$	−3.28716	−	0.676962i	−1.03949	−	0.214074i
$11$	1.49500	−	0.863138i	0.450759	−	0.260246i	−0.257392	−	0.966307i	$-0.582863\pi$
$11$	1.49500	−	0.863138i	0.450759	−	0.260246i	0.708151	+	0.706061i	$0.249530\pi$
$12$	0.364609	−	0.242273i	0.105254	−	0.0699383i
$13$	5.21347	−	1.89755i	1.44596	−	0.526285i	0.504498	−	0.863413i	$-0.331678\pi$
$13$	5.21347	−	1.89755i	1.44596	−	0.526285i	0.941459	+	0.337128i	$0.109455\pi$
$14$	1.09535	+	6.21203i	0.292744	+	1.66023i
$15$	3.83497	+	0.541283i	0.990186	+	0.139759i
$16$	4.17374	+	1.51912i	1.04344	+	0.379780i
$17$	−0.681701	+	0.572015i	−0.165337	+	0.138734i	−0.721702	−	0.692204i	$-0.756640\pi$
$17$	−0.681701	+	0.572015i	−0.165337	+	0.138734i	0.556365	+	0.830938i	$0.312196\pi$
$18$	−3.58628	+	2.72273i	−0.845295	+	0.641753i
$19$	−4.24769	−	0.978350i	−0.974486	−	0.224449i
$19$	−4.24769	−	0.978350i	−0.974486	−	0.224449i
$20$	−0.268479	−	0.497306i	−0.0600337	−	0.111201i
$21$	−1.71203	−	7.07506i	−0.373595	−	1.54390i
$22$	2.43474	+	0.886172i	0.519088	+	0.188932i
$23$	−1.33609	+	7.57735i	−0.278594	+	1.57999i	0.448714	+	0.893676i	$0.351882\pi$
$23$	−1.33609	+	7.57735i	−0.278594	+	1.57999i	−0.727308	+	0.686311i	$0.759229\pi$
$24$	−4.35753	−	1.28225i	−0.889478	−	0.261737i
$25$	1.14802	−	4.86642i	0.229604	−	0.973284i
$26$	7.21153	+	4.16358i	1.41430	+	0.816545i
$27$	3.93293	−	3.39589i	0.756893	−	0.653539i
$28$	−0.682766	+	0.813689i	−0.129031	+	0.153773i
$29$	−1.18770	−	0.996598i	−0.220550	−	0.185064i	0.525817	−	0.850597i	$-0.323760\pi$
$29$	−1.18770	−	0.996598i	−0.220550	−	0.185064i	−0.746368	+	0.665534i	$0.768204\pi$
$30$	3.07751	+	4.93154i	0.561874	+	0.900371i
$31$	−2.32234	−	1.34080i	−0.417105	−	0.240816i	0.276733	−	0.960947i	$-0.410748\pi$
$31$	−2.32234	−	1.34080i	−0.417105	−	0.240816i	−0.693838	+	0.720131i	$0.744082\pi$
$32$	0.486183	+	1.33578i	0.0859457	+	0.236134i
$33$	−2.86839	−	0.844051i	−0.499323	−	0.146930i
$34$	−1.31537	−	0.231935i	−0.225584	−	0.0397765i
$35$	−9.29754	+	1.36683i	−1.57157	+	0.231036i
$36$	−0.739403	−	0.167907i	−0.123234	−	0.0279845i
$37$	−0.131361			−0.0215956			−0.0107978	−	0.999942i	$-0.503437\pi$
$37$	−0.131361			−0.0215956			−0.0107978	+	0.999942i	$0.503437\pi$
$38$	−2.97316	−	5.82773i	−0.482310	−	0.945383i
$39$	−8.60758	−	4.27228i	−1.37832	−	0.684113i
$40$	−2.16221	+	5.45087i	−0.341875	+	0.861858i
$41$	−5.21640	−	1.89862i	−0.814665	−	0.296514i	−0.0991158	−	0.995076i	$-0.531601\pi$
$41$	−5.21640	−	1.89862i	−0.814665	−	0.296514i	−0.715550	+	0.698562i	$0.753824\pi$
$42$	6.48296	−	8.79423i	1.00034	−	1.35698i
$43$	−4.83329	+	0.852239i	−0.737070	+	0.129965i	−0.529566	−	0.848269i	$-0.677645\pi$
$43$	−4.83329	+	0.852239i	−0.737070	+	0.129965i	−0.207504	+	0.978234i	$0.566534\pi$
$44$	0.149225	+	0.409991i	0.0224965	+	0.0618085i
$45$	−3.90206	−	5.45655i	−0.581684	−	0.813415i
$46$	−10.0012	+	5.77420i	−1.47460	+	0.851359i
$47$	−7.04165	−	5.90864i	−1.02713	−	0.861864i	−0.0366232	−	0.999329i	$-0.511660\pi$
$47$	−7.04165	−	5.90864i	−1.02713	−	0.861864i	−0.990507	+	0.137465i	$0.956105\pi$
$48$	−3.08029	−	7.04950i	−0.444601	−	1.01751i
$49$	5.33125	+	9.23399i	0.761607	+	1.31914i
$50$	6.70282	−	3.37502i	0.947922	−	0.477300i
$51$	1.53175	+	0.171733i	0.214488	+	0.0240474i
$52$	0.243495	+	1.38093i	0.0337667	+	0.191500i
$53$	6.80485	+	1.19988i	0.934717	+	0.164816i	0.620207	−	0.784438i	$-0.287049\pi$
$53$	6.80485	+	1.19988i	0.934717	+	0.164816i	0.314510	+	0.949254i	$0.398160\pi$
$54$	7.69885	+	1.24571i	1.04768	+	0.169519i
$55$	−1.42330	+	3.58809i	−0.191917	+	0.483818i
$56$	11.0214			1.47280
$57$	3.84686	+	6.49628i	0.509530	+	0.860453i
$58$		−	2.32706i		−	0.305559i
$59$	−1.92545	+	1.61564i	−0.250672	+	0.210339i	−0.759462	−	0.650552i	$-0.774538\pi$
$59$	−1.92545	+	1.61564i	−0.250672	+	0.210339i	0.508789	+	0.860891i	$0.330093\pi$
$60$	−0.303037	+	0.930779i	−0.0391219	+	0.120163i
$61$	1.43301	−	8.12701i	0.183478	−	1.04056i	−0.744417	−	0.667716i	$-0.767272\pi$
$61$	1.43301	−	8.12701i	0.183478	−	1.04056i	0.927895	−	0.372842i	$-0.121617\pi$
$62$	−0.698910	−	3.96372i	−0.0887617	−	0.503393i
$63$	−6.82877	+	10.5986i	−0.860344	+	1.33530i
$64$	3.37483	−	5.84538i	0.421854	−	0.730672i
$65$	−6.50728	+	10.5622i	−0.807129	+	1.31008i
$66$	−1.79687	−	4.11229i	−0.221180	−	0.506189i
$67$	3.98162	+	3.34098i	0.486432	+	0.408165i	0.852746	−	0.522326i	$-0.174936\pi$
$67$	3.98162	+	3.34098i	0.486432	+	0.408165i	−0.366313	+	0.930492i	$0.619380\pi$
$68$	−0.112457	−	0.194782i	−0.0136375	−	0.0236208i
$69$	11.0998	−	7.37553i	1.33626	−	0.887909i
$70$	−10.5415	−	9.37133i	−1.25995	−	1.12009i
$71$	−0.165181	−	0.936786i	−0.0196033	−	0.111176i	0.973436	−	0.228959i	$-0.0735323\pi$
$71$	−0.165181	−	0.936786i	−0.0196033	−	0.111176i	−0.993039	+	0.117783i	$0.962421\pi$
$72$	3.59692	+	6.99706i	0.423902	+	0.824612i
$73$	−4.66010	+	12.8035i	−0.545424	+	1.49854i	0.294402	+	0.955682i	$0.404880\pi$
$73$	−4.66010	+	12.8035i	−0.545424	+	1.49854i	−0.839825	+	0.542857i	$0.817343\pi$
$74$	−0.126733	−	0.151035i	−0.0147324	−	0.0175574i
$75$	−7.47499	+	4.37315i	−0.863138	+	0.504968i
$76$	0.429938	−	1.01432i	0.0493172	−	0.116351i
$77$	7.25498			0.826782
$78$	−3.39220	−	14.0185i	−0.384091	−	1.58728i
$79$	2.08784	−	5.73631i	0.234901	−	0.645385i	−0.765098	−	0.643914i	$-0.777310\pi$
$79$	2.08784	−	5.73631i	0.234901	−	0.645385i	0.999999	−	0.00147107i	$-0.000468257\pi$
$80$	−9.42600	+	3.12888i	−1.05386	+	0.349819i
$81$	−8.95723	−	0.876380i	−0.995248	−	0.0973755i
$82$	−2.84966	−	7.82937i	−0.314692	−	0.864610i
$83$	5.19192	−	8.99266i	0.569887	−	0.987073i	−0.426690	−	0.904398i	$-0.640320\pi$
$83$	5.19192	−	8.99266i	0.569887	−	0.987073i	0.996577	−	0.0826749i	$-0.0263463\pi$
$84$	1.83614	−	0.115616i	0.200339	−	0.0126148i
$85$	0.401373	−	1.94897i	0.0435350	−	0.211396i
$86$	−5.64288	−	4.73494i	−0.608488	−	0.510582i
$87$	0.168759	+	2.68012i	0.0180929	+	0.287339i
$88$	2.26357	−	3.92061i	0.241297	−	0.417938i
$89$	−2.06828	+	0.752793i	−0.219238	+	0.0797959i	−0.449304	−	0.893379i	$-0.648328\pi$
$89$	−2.06828	+	0.752793i	−0.219238	+	0.0797959i	0.230066	+	0.973175i	$0.426106\pi$
$90$	2.50918	−	9.75077i	0.264490	−	1.02782i
$91$	22.9625	+	4.04890i	2.40712	+	0.424440i
$92$	−1.82739	−	0.665114i	−0.190518	−	0.0693429i
$93$	1.09240	+	4.51439i	0.113276	+	0.468121i
$94$		−	13.7967i		−	1.42302i
$95$	8.80516	−	4.17961i	0.903390	−	0.428819i
$96$	1.09463	−	2.20540i	0.111720	−	0.225088i
$97$	1.38420	−	1.16148i	0.140544	−	0.117930i	−0.569805	−	0.821780i	$-0.692981\pi$
$97$	1.38420	−	1.16148i	0.140544	−	0.117930i	0.710349	+	0.703849i	$0.248537\pi$
$98$	−5.47351	+	15.0384i	−0.552908	+	1.51910i
$99$	2.36771	+	4.60589i	0.237964	+	0.462909i
$100$	1.16088	+	0.499324i	0.116088	+	0.0499324i
$101$	2.60212	+	7.14928i	0.258921	+	0.711380i	0.999235	+	0.0391179i	$0.0124548\pi$
$101$	2.60212	+	7.14928i	0.258921	+	0.711380i	−0.740314	+	0.672262i	$0.765323\pi$
$102$	1.28033	+	1.92684i	0.126772	+	0.190785i
$103$	−5.80454	−	10.0538i	−0.571938	−	0.990626i	−0.996367	−	0.0851648i	$-0.972858\pi$
$103$	−5.80454	−	10.0538i	−0.571938	−	0.990626i	0.424429	−	0.905461i	$-0.360475\pi$
$104$	9.35236	−	11.1457i	0.917075	−	1.09293i
$105$	12.8204	+	10.0286i	1.25115	+	0.978695i
$106$	5.18552	+	8.98159i	0.503663	+	0.872369i
$107$	−9.70280	−	5.60191i	−0.938005	−	0.541557i	−0.0486706	−	0.998815i	$-0.515498\pi$
$107$	−9.70280	−	5.60191i	−0.938005	−	0.541557i	−0.889334	+	0.457257i	$0.848832\pi$
$108$	0.672636	+	1.12796i	0.0647245	+	0.108538i
$109$	−9.06462	+	1.59834i	−0.868234	+	0.153093i	−0.589983	−	0.807416i	$-0.700866\pi$
$109$	−9.06462	+	1.59834i	−0.868234	+	0.153093i	−0.278250	+	0.960509i	$0.589755\pi$
$110$	−5.49862	+	1.82522i	−0.524273	+	0.174028i
$111$	0.156914	+	0.164758i	0.0148936	+	0.0156382i
$112$	11.9987	+	14.2995i	1.13377	+	1.35117i
$113$			3.04022i			0.286000i	0.989723	+	0.143000i	$0.0456748\pi$
$113$			3.04022i			0.286000i	−0.989723	+	0.143000i	$0.954325\pi$
$114$	−3.75787	+	10.6904i	−0.351957	+	1.00125i
$115$	−8.17330	−	15.1395i	−0.762165	−	1.41176i
$116$	0.300182	−	0.251883i	0.0278712	−	0.0233867i
$117$	4.92347	+	15.8993i	0.455175	+	1.46989i
$118$	−3.71523	−	0.655095i	−0.342015	−	0.0603064i
$119$	−3.68313	+	0.649436i	−0.337632	+	0.0595337i
$120$	9.41950	−	3.79925i	0.859879	−	0.346822i
$121$	−4.00999	+	6.94550i	−0.364544	+	0.631409i
$122$	10.7267	−	6.19306i	0.971149	−	0.560693i
$123$	3.84979	+	8.81056i	0.347123	+	0.794421i
$124$	0.435654	−	0.519192i	0.0391229	−	0.0466248i
$125$	4.74082	+	10.1254i	0.424032	+	0.905647i
$126$	−18.7741	+	2.37371i	−1.67253	+	0.211467i
$127$	−0.708080	+	0.257720i	−0.0628319	+	0.0228690i	−0.373245	−	0.927733i	$-0.621755\pi$
$127$	−0.708080	+	0.257720i	−0.0628319	+	0.0228690i	0.310413	+	0.950602i	$0.399533\pi$
$128$	12.7766	−	2.25285i	1.12930	−	0.199126i
$129$	6.84238	+	5.04409i	0.602438	+	0.444107i
$130$	−18.4221	+	2.70823i	−1.61572	+	0.237527i
$131$	−11.7728	−	14.0302i	−1.02859	−	1.22583i	−0.973818	−	0.227329i	$-0.927001\pi$
$131$	−11.7728	−	14.0302i	−1.02859	−	1.22583i	−0.0547735	−	0.998499i	$-0.517444\pi$
$132$	0.335975	−	0.676907i	0.0292429	−	0.0589172i
$133$	−13.4041	−	12.4867i	−1.16229	−	1.08273i
$134$			7.80121i			0.673922i
$135$	−2.18273	+	11.4121i	−0.187860	+	0.982196i
$136$	−0.798186	+	2.19300i	−0.0684439	+	0.188048i
$137$	−0.00371436	+	0.0210652i	−0.000317339	+	0.00179972i	−0.984966	−	0.172748i	$-0.944735\pi$
$137$	−0.00371436	+	0.0210652i	−0.000317339	+	0.00179972i	0.984649	+	0.174548i	$0.0558464\pi$
$138$	19.1889	+	5.64651i	1.63347	+	0.480663i
$139$	−16.6860	+	6.07320i	−1.41529	+	0.515122i	−0.932677	−	0.360713i	$-0.882533\pi$
$139$	−16.6860	+	6.07320i	−1.41529	+	0.515122i	−0.482610	+	0.875835i	$0.660311\pi$
$140$	0.0678455	−	2.37417i	0.00573399	−	0.200654i
$141$	1.00054	+	15.8899i	0.0842607	+	1.33817i
$142$	0.917724	−	1.09370i	0.0770137	−	0.0917813i
$143$	6.15629	−	7.33678i	0.514815	−	0.613532i
$144$	−5.16230	+	12.2842i	−0.430191	+	1.02368i
$145$	3.46546	+	0.0990306i	0.287790	+	0.00822404i
$146$	−19.2170	+	6.99441i	−1.59041	+	0.578862i
$147$	5.21335	−	17.7169i	0.429990	−	1.46126i
$148$	0.00576521	−	0.0326961i	0.000473898	−	0.00268761i
$149$	7.53327	−	20.6975i	0.617150	−	1.69561i	−0.0967065	−	0.995313i	$-0.530831\pi$
$149$	7.53327	−	20.6975i	0.617150	−	1.69561i	0.713856	−	0.700292i	$-0.246947\pi$
$150$	−12.2397	−	4.37542i	−0.999371	−	0.357251i
$151$			16.2709i			1.32411i	0.749456	+	0.662054i	$0.230315\pi$
$151$			16.2709i			1.32411i	−0.749456	+	0.662054i	$0.769685\pi$
$152$	−10.9299	+	3.34777i	−0.886534	+	0.271540i
$153$	−1.61432	−	2.12632i	−0.130510	−	0.171903i
$154$	6.99938	+	8.34154i	0.564026	+	0.672180i
$155$	5.93250	−	0.872135i	0.476510	−	0.0700516i
$156$	1.44116	−	1.95495i	0.115385	−	0.156521i
$157$	5.40951	−	0.953843i	0.431726	−	0.0761249i	0.0464376	−	0.998921i	$-0.485213\pi$
$157$	5.40951	−	0.953843i	0.431726	−	0.0761249i	0.385288	+	0.922796i	$0.374102\pi$
$158$	8.60970	−	3.13368i	0.684951	−	0.249302i
$159$	−6.62360	−	9.96819i	−0.525286	−	0.790529i
$160$	−2.70621	−	1.66727i	−0.213944	−	0.131809i
$161$	−20.7855	+	24.7711i	−1.63812	+	1.95224i
$162$	−7.63402	−	11.1442i	−0.599786	−	0.875573i
$163$	−7.66218	+	4.42376i	−0.600148	+	0.346496i	−0.769100	−	0.639129i	$-0.779295\pi$
$163$	−7.66218	+	4.42376i	−0.600148	+	0.346496i	0.168952	+	0.985624i	$0.445962\pi$
$164$	0.701510	−	1.21505i	0.0547787	−	0.0948795i
$165$	6.20048	−	2.50089i	0.482707	−	0.194694i
$166$	15.3485	−	2.70635i	1.19127	−	0.210053i
$167$	−3.38890	−	0.597554i	−0.262241	−	0.0462401i	0.0409819	−	0.999160i	$-0.486951\pi$
$167$	−3.38890	−	0.597554i	−0.262241	−	0.0462401i	−0.303222	+	0.952920i	$0.598063\pi$
$168$	−13.1654	−	13.8235i	−1.01573	−	1.06651i
$169$	13.6210	−	11.4294i	1.04777	−	0.879184i
$170$	2.62809	−	1.41882i	0.201566	−	0.108819i
$171$	3.55273	−	12.5848i	0.271684	−	0.962386i
$172$		−	1.24042i		−	0.0945813i
$173$	12.9104	+	15.3860i	0.981556	+	1.16977i	0.985482	+	0.169781i	$0.0543060\pi$
$173$	12.9104	+	15.3860i	0.981556	+	1.16977i	−0.00392570	+	0.999992i	$0.501250\pi$
$174$	−2.91870	+	2.77973i	−0.221266	+	0.210731i
$175$	14.4044	−	15.2996i	1.08887	−	1.15654i
$176$	7.55095	−	1.33144i	0.569175	−	0.100361i
$177$	4.32640	+	0.485055i	0.325192	+	0.0364590i
$178$	−2.86095	−	1.65177i	−0.214437	−	0.123806i
$179$	−3.87995	−	6.72027i	−0.290001	−	0.502296i	0.683809	−	0.729661i	$-0.260322\pi$
$179$	−3.87995	−	6.72027i	−0.290001	−	0.502296i	−0.973810	+	0.227365i	$0.926989\pi$
$180$	1.52941	−	0.731755i	0.113995	−	0.0545418i
$181$	−3.56951	+	4.25398i	−0.265320	+	0.316196i	−0.882212	−	0.470852i	$-0.843947\pi$
$181$	−3.56951	+	4.25398i	−0.265320	+	0.316196i	0.616893	+	0.787047i	$0.288391\pi$
$182$	17.4982	+	30.3077i	1.29705	+	2.24656i
$183$	−11.9050	+	7.91055i	−0.880042	+	0.584765i
$184$	6.90129	+	18.9611i	0.508770	+	1.39783i
$185$	0.230313	−	0.182303i	0.0169330	−	0.0134032i
$186$	−4.13659	+	5.61135i	−0.303310	+	0.411444i
$187$	−0.525414	+	1.44356i	−0.0384221	+	0.105564i
$188$	1.77972	−	1.49337i	0.129800	−	0.108915i
$189$	21.4503	−	4.09534i	1.56028	−	0.297892i
$190$	13.3005	+	6.09152i	0.964921	+	0.441925i
$191$		−	0.0120865i		−	0.000874546i	−1.00000		0.000437273i	$-0.999861\pi$
$191$		−	0.0120865i		−	0.000874546i	1.00000		0.000437273i	$-0.000139188\pi$
$192$	−11.3628	+	2.74958i	−0.820040	+	0.198434i
$193$	18.0070	+	6.55400i	1.29617	+	0.471768i	0.895748	−	0.444563i	$-0.146641\pi$
$193$	18.0070	+	6.55400i	1.29617	+	0.471768i	0.400423	+	0.916330i	$0.368863\pi$
$194$	2.67086	+	0.470945i	0.191757	+	0.0338119i
$195$	21.0206	−	4.45508i	1.50532	−	0.319035i
$196$	−2.53235	+	0.921699i	−0.180882	+	0.0658356i
$197$	6.36963	−	11.0325i	0.453817	−	0.786035i	−0.544802	−	0.838565i	$-0.683395\pi$
$197$	6.36963	−	11.0325i	0.453817	−	0.786035i	0.998619	+	0.0525299i	$0.0167285\pi$
$198$	−3.01140	+	7.16593i	−0.214011	+	0.509261i
$199$	−11.2264	−	9.42005i	−0.795817	−	0.667769i	0.151361	−	0.988479i	$-0.451634\pi$
$199$	−11.2264	−	9.42005i	−0.795817	−	0.667769i	−0.947178	+	0.320709i	$0.896079\pi$
$200$	−3.77375	−	12.5576i	−0.266844	−	0.887959i
$201$	−0.565744	−	8.98478i	−0.0399045	−	0.633737i
$202$	−5.70955	+	9.88923i	−0.401723	+	0.695804i
$203$	−2.22859	−	6.12300i	−0.156416	−	0.429751i
$204$	−0.109971	+	0.373720i	−0.00769948	+	0.0261656i
$205$	11.7807	−	3.91051i	0.822803	−	0.273122i
$206$	5.95944	−	16.3734i	0.415214	−	1.14079i
$207$	−22.5096	−	5.11160i	−1.56453	−	0.355281i
$208$	24.6423			1.70864
$209$	−7.19474	+	2.20371i	−0.497670	+	0.152434i
$210$	0.838164	+	24.4158i	0.0578388	+	1.68485i
$211$	4.96264	+	5.91424i	0.341642	+	0.407153i	0.909320	−	0.416098i	$-0.136603\pi$
$211$	4.96264	+	5.91424i	0.341642	+	0.407153i	−0.567678	+	0.823251i	$0.692158\pi$
$212$	−0.597306	+	1.64108i	−0.0410231	+	0.112710i
$213$	−0.977643	+	1.32619i	−0.0669870	+	0.0908688i
$214$	−2.92006	−	16.5605i	−0.199611	−	1.13205i
$215$	7.29140	−	8.20186i	0.497269	−	0.559362i
$216$	4.47940	−	12.8695i	0.304784	−	0.875662i
$217$	−5.63497	−	9.76005i	−0.382527	−	0.662556i
$218$	−10.5830	−	8.88018i	−0.716770	−	0.601442i
$219$	21.6253	−	9.44920i	1.46130	−	0.638517i
$220$	−0.830619	−	0.511737i	−0.0560003	−	0.0345013i
$221$	−2.46860	+	4.27574i	−0.166056	+	0.287618i
$222$	−0.0380483	+	0.339368i	−0.00255363	+	0.0227769i
$223$	0.544631	+	3.08876i	0.0364712	+	0.206839i	0.997598	−	0.0692687i	$-0.0220666\pi$
$223$	0.544631	+	3.08876i	0.0364712	+	0.206839i	−0.961127	+	0.276107i	$0.910955\pi$
$224$	−1.03739	+	5.88336i	−0.0693138	+	0.393098i
$225$	14.4140	+	4.15161i	0.960935	+	0.276774i
$226$	−3.49554	+	2.93311i	−0.232520	+	0.195107i
$227$		−	2.69859i		−	0.179112i	−0.995982	−	0.0895558i	$-0.971455\pi$
$227$		−	2.69859i		−	0.179112i	0.995982	−	0.0895558i	$-0.0285447\pi$
$228$	−1.78577	+	0.672385i	−0.118266	+	0.0445298i
$229$	−12.0558			−0.796666			−0.398333	−	0.917241i	$-0.630411\pi$
$229$	−12.0558			−0.796666			−0.398333	+	0.917241i	$0.630411\pi$
$230$	9.52153	−	24.0035i	0.627831	−	1.58274i
$231$	−8.66623	−	9.09949i	−0.570196	−	0.598703i
$232$	−4.00421	−	0.706050i	−0.262889	−	0.0463545i
$233$	−0.232187	−	1.31680i	−0.0152111	−	0.0862662i	0.976257	−	0.216615i	$-0.0695015\pi$
$233$	−0.232187	−	1.31680i	−0.0152111	−	0.0862662i	−0.991468	+	0.130348i	$0.958390\pi$
$234$	−13.5305	+	21.0000i	−0.884516	+	1.37281i
$235$	20.5460	+	0.587134i	1.34028	+	0.0383004i
$236$	−0.317634	−	0.550158i	−0.0206762	−	0.0358122i
$237$	−9.68868	+	4.23348i	−0.629348	+	0.274994i
$238$	−4.30007	−	3.60819i	−0.278732	−	0.233884i
$239$	−8.02452	+	4.63296i	−0.519063	+	0.299681i	−0.736551	−	0.676382i	$-0.763547\pi$
$239$	−8.02452	+	4.63296i	−0.519063	+	0.299681i	0.217488	+	0.976063i	$0.430214\pi$
$240$	15.1839	+	8.08496i	0.980118	+	0.521882i
$241$	3.15408	+	8.66576i	0.203172	+	0.558210i	0.998872	−	0.0474803i	$-0.0151191\pi$
$241$	3.15408	+	8.66576i	0.203172	+	0.558210i	−0.795700	+	0.605691i	$0.792897\pi$
$242$	−11.8544	+	2.09025i	−0.762030	+	0.134367i
$243$	9.60041	+	12.2814i	0.615867	+	0.787850i
$244$	1.95994	+	0.713361i	0.125473	+	0.0456683i
$245$	−22.1621	−	8.79111i	−1.41589	−	0.561643i
$246$	−6.41594	+	12.9265i	−0.409065	+	0.824164i
$247$	−24.0017	+	2.95959i	−1.52719	+	0.188314i
$248$	−7.03247			−0.446563
$249$	−17.4808	+	4.23002i	−1.10780	+	0.268067i
$250$	−7.06810	+	15.2196i	−0.447026	+	0.962569i
$251$	21.9925	+	3.87786i	1.38815	+	0.244769i	0.817266	−	0.576261i	$-0.195489\pi$
$251$	21.9925	+	3.87786i	1.38815	+	0.244769i	0.570886	+	0.821029i	$0.306600\pi$
$252$	−2.33832	−	2.16485i	−0.147300	−	0.136373i
$253$	4.54285	+	12.4814i	0.285606	+	0.784697i
$254$	−0.979452	−	0.565487i	−0.0614563	−	0.0354818i
$255$	−2.92393	+	1.82467i	−0.183103	+	0.114265i
$256$	4.57561	+	3.83939i	0.285976	+	0.239962i
$257$	13.4580	−	16.0386i	0.839485	−	1.00046i	−0.160425	−	0.987048i	$-0.551287\pi$
$257$	13.4580	−	16.0386i	0.839485	−	1.00046i	0.999910	−	0.0134112i	$-0.00426903\pi$
$258$	0.801791	+	12.7335i	0.0499173	+	0.792754i
$259$	−0.478105	−	0.276034i	−0.0297080	−	0.0171519i
$260$	−2.34337	−	2.08324i	−0.145330	−	0.129197i
$261$	3.15993	−	3.41312i	0.195595	−	0.211267i
$262$	4.77350	−	27.0719i	0.294908	−	1.67251i
$263$	−18.2802	−	6.65346i	−1.12721	−	0.410270i	−0.289930	−	0.957048i	$-0.593632\pi$
$263$	−18.2802	−	6.65346i	−1.12721	−	0.410270i	−0.837278	+	0.546778i	$0.815854\pi$
$264$	−7.62126	+	1.84420i	−0.469056	+	0.113503i
$265$	−13.5960	+	7.34004i	−0.835197	+	0.450895i
$266$	1.42484	−	27.4584i	0.0873628	−	1.68358i
$267$	3.41479	+	1.69490i	0.208982	+	0.103726i
$268$	−1.00633	+	0.844407i	−0.0614711	+	0.0515804i
$269$	−3.28730	−	1.19648i	−0.200430	−	0.0729507i	0.239854	−	0.970809i	$-0.422900\pi$
$269$	−3.28730	−	1.19648i	−0.200430	−	0.0729507i	−0.440285	+	0.897858i	$0.645123\pi$
$270$	−15.2271	+	8.50039i	−0.926690	+	0.517317i
$271$	−2.83918	−	16.1018i	−0.172468	−	0.978115i	−0.941026	−	0.338335i	$-0.890136\pi$
$271$	−2.83918	−	16.1018i	−0.172468	−	0.978115i	0.768558	−	0.639780i	$-0.220975\pi$
$272$	−3.71420	+	1.35186i	−0.225207	+	0.0819685i
$273$	−22.3509	−	33.6370i	−1.35274	−	2.03580i
$274$	−0.0278035	+	0.0160524i	−0.00167967	+	0.000969760i
$275$	−2.48411	−	8.26619i	−0.149797	−	0.498470i
$276$	1.34864	+	3.08647i	0.0811785	+	0.185784i
$277$	15.0450	−	8.68623i	0.903966	−	0.521905i	0.0254811	−	0.999675i	$-0.491888\pi$
$277$	15.0450	−	8.68623i	0.903966	−	0.521905i	0.878485	+	0.477770i	$0.158555\pi$
$278$	−23.0809	−	13.3258i	−1.38430	−	0.799226i
$279$	4.35724	−	6.76267i	0.260861	−	0.404870i
$280$	−19.3237	+	15.2956i	−1.15481	+	0.914085i
$281$	3.64982	−	20.6992i	0.217730	−	1.23481i	−0.658375	−	0.752690i	$-0.728756\pi$
$281$	3.64982	−	20.6992i	0.217730	−	1.23481i	0.876105	−	0.482120i	$-0.160133\pi$
$282$	−17.3044	+	16.4805i	−1.03046	+	0.981399i
$283$	11.9205	+	14.2063i	0.708598	+	0.844475i	0.993470	−	0.114091i	$-0.0363955\pi$
$283$	11.9205	+	14.2063i	0.708598	+	0.844475i	−0.284872	+	0.958566i	$0.591951\pi$
$284$	0.240418			0.0142662
$285$	−15.7602	−	6.05115i	−0.933553	−	0.358439i
$286$	14.3750			0.850010
$287$	−14.9961	−	17.8717i	−0.885193	−	1.05493i
$288$	−4.07366	+	1.26147i	−0.240043	+	0.0743331i
$289$	−2.81450	+	15.9618i	−0.165559	+	0.938932i
$290$	3.22950	+	4.08001i	0.189643	+	0.239586i
$291$	−3.11023	−	0.348704i	−0.182325	−	0.0204414i
$292$	−2.98231	−	1.72184i	−0.174526	−	0.100763i
$293$	9.73157	−	5.61853i	0.568525	−	0.328238i	−0.188035	−	0.982162i	$-0.560212\pi$
$293$	9.73157	−	5.61853i	0.568525	−	0.328238i	0.756560	+	0.653924i	$0.226879\pi$
$294$	25.3999	−	11.0985i	1.48135	−	0.647280i
$295$	1.13367	−	5.50483i	0.0660049	−	0.320503i
$296$	−0.298339	+	0.172246i	−0.0173406	+	0.0100116i
$297$	2.94861	−	8.47151i	0.171096	−	0.491567i
$298$	31.0652	−	11.3068i	1.79956	−	0.654985i
$299$	7.41272	+	42.0396i	0.428688	+	2.43121i
$300$	−0.760426	−	2.05248i	−0.0439032	−	0.118500i
$301$	−19.3822	−	7.05455i	−1.11717	−	0.406617i
$302$	−18.7077	+	15.6977i	−1.07651	+	0.903299i
$303$	5.85862	−	11.8037i	0.336569	−	0.678102i
$304$	−16.2425	−	10.5361i	−0.931573	−	0.604288i
$305$	8.76620	+	16.2377i	0.501951	+	0.929768i
$306$	0.887333	−	3.90749i	0.0507254	−	0.223377i
$307$	−20.9350	−	7.61971i	−1.19482	−	0.434880i	−0.333408	−	0.942783i	$-0.608199\pi$
$307$	−20.9350	−	7.61971i	−1.19482	−	0.434880i	−0.861414	+	0.507903i	$0.830421\pi$
$308$	−0.318409	+	1.80579i	−0.0181430	+	0.102894i
$309$	−5.67618	+	19.2897i	−0.322907	+	1.09735i
$310$	6.72624	+	5.97958i	0.382025	+	0.339617i
$311$	13.2348	+	7.64109i	0.750474	+	0.433287i	0.825865	−	0.563867i	$-0.190687\pi$
$311$	13.2348	+	7.64109i	0.750474	+	0.433287i	−0.0753909	+	0.997154i	$0.524020\pi$
$312$	−25.1510	+	1.58368i	−1.42389	+	0.0896583i
$313$	−7.19118	+	8.57011i	−0.406470	+	0.484412i	−0.929981	−	0.367607i	$-0.880177\pi$
$313$	−7.19118	+	8.57011i	−0.406470	+	0.484412i	0.523512	+	0.852018i	$0.324622\pi$
$314$	6.31562	+	5.29944i	0.356411	+	0.299065i
$315$	−2.73597	−	28.0593i	−0.154154	−	1.58096i
$316$	1.33615	+	0.771427i	0.0751644	+	0.0433962i
$317$	8.75176	+	24.0453i	0.491548	+	1.35052i	0.899263	+	0.437408i	$0.144103\pi$
$317$	8.75176	+	24.0453i	0.491548	+	1.35052i	−0.407715	+	0.913109i	$0.633674\pi$
$318$	5.07085	−	17.2326i	0.284359	−	0.966356i
$319$	−2.63581	−	0.464765i	−0.147577	−	0.0260218i
$320$	2.19518	+	14.9322i	0.122714	+	0.834736i
$321$	4.56406	+	18.8612i	0.254741	+	1.05273i
$322$	−48.5342			−2.70470
$323$	3.45528	−	1.76280i	0.192257	−	0.0980847i
$324$	0.611251	−	2.19102i	0.0339584	−	0.121723i
$325$	−3.24911	−	27.5494i	−0.180228	−	1.52816i
$326$	−12.4785	−	4.54181i	−0.691122	−	0.251548i
$327$	12.8326	+	9.45997i	0.709644	+	0.523137i
$328$	−14.3367	+	2.52795i	−0.791612	+	0.139583i
$329$	−13.2129	−	36.3021i	−0.728451	−	2.00140i
$330$	8.85748	+	4.71632i	0.487588	+	0.259625i
$331$	29.2788	−	16.9041i	1.60931	−	0.929136i	0.619786	−	0.784771i	$-0.287220\pi$
$331$	29.2788	−	16.9041i	1.60931	−	0.929136i	0.989525	−	0.144364i	$-0.0461138\pi$
$332$	2.01043	+	1.68696i	0.110337	+	0.0925837i
$333$	0.0192099	−	0.393615i	0.00105269	−	0.0215700i
$334$	−2.58245	−	4.47294i	−0.141306	−	0.244748i
$335$	−11.6175	−	0.331988i	−0.634733	−	0.0181385i
$336$	3.60229	−	32.1303i	0.196521	−	1.75285i
$337$	1.77147	+	10.0465i	0.0964979	+	0.547267i	0.994278	+	0.106823i	$0.0340678\pi$
$337$	1.77147	+	10.0465i	0.0964979	+	0.547267i	−0.897780	+	0.440444i	$0.854821\pi$
$338$	26.2823	+	4.63427i	1.42957	+	0.252071i
$339$	3.81316	−	3.63161i	0.207103	−	0.197242i
$340$	0.467489	+	0.185440i	0.0253531	+	0.0100569i
$341$	−4.62920			−0.250685
$342$	17.8972	−	8.05665i	0.967769	−	0.435654i
$343$			15.3923i			0.831105i
$344$	−9.85957	+	8.27316i	−0.531592	+	0.446059i
$345$	−9.22537	+	28.3357i	−0.496677	+	1.52554i
$346$	−5.23476	+	29.6878i	−0.281422	+	1.59603i
$347$	5.20184	+	29.5011i	0.279249	+	1.58370i	0.725132	+	0.688610i	$0.241779\pi$
$347$	5.20184	+	29.5011i	0.279249	+	1.58370i	−0.445883	+	0.895091i	$0.647110\pi$
$348$	−0.674496	−	0.0756212i	−0.0361568	−	0.00405372i
$349$	−8.54495	+	14.8003i	−0.457401	+	0.792241i	−0.998823	−	0.0485099i	$-0.984553\pi$
$349$	−8.54495	+	14.8003i	−0.457401	+	0.792241i	0.541422	+	0.840751i	$0.317886\pi$
$350$	31.4878	+	1.80109i	1.68309	+	0.0962725i
$351$	14.0604	−	25.1673i	0.750487	−	1.34333i
$352$	1.87980	+	1.57734i	0.100194	+	0.0840725i
$353$	1.04832	+	1.81575i	0.0557966	+	0.0966426i	0.892575	−	0.450900i	$-0.148897\pi$
$353$	1.04832	+	1.81575i	0.0557966	+	0.0966426i	−0.836778	+	0.547542i	$0.815563\pi$
$354$	3.61627	+	5.44232i	0.192203	+	0.289256i
$355$	1.58968	+	1.41321i	0.0843715	+	0.0750057i
$356$	−0.0965990	−	0.547840i	−0.00511974	−	0.0290355i
$357$	5.21413	+	3.84377i	0.275961	+	0.203434i
$358$	3.98349	−	10.9445i	0.210534	−	0.578437i
$359$	13.0688	+	15.5748i	0.689746	+	0.822008i	0.991325	−	0.131433i	$-0.0419580\pi$
$359$	13.0688	+	15.5748i	0.689746	+	0.822008i	−0.301579	+	0.953441i	$0.597514\pi$
$360$	−16.0170	−	7.27603i	−0.844168	−	0.383481i
$361$	17.0857	+	8.31145i	0.899245	+	0.437445i
$362$	−8.33483			−0.438069
$363$	13.5013	−	3.26706i	0.708636	−	0.171476i
$364$	−2.01557	+	5.53772i	−0.105644	+	0.290256i
$365$	−9.59825	−	28.9155i	−0.502395	−	1.51351i
$366$	−20.5809	−	6.05611i	−1.07578	−	0.316558i
$367$	1.65724	+	4.55323i	0.0865073	+	0.237677i	0.975402	−	0.220436i	$-0.0707479\pi$
$367$	1.65724	+	4.55323i	0.0865073	+	0.237677i	−0.888894	+	0.458113i	$0.848526\pi$
$368$	−17.0874	+	29.5962i	−0.890742	+	1.54281i
$369$	6.45191	−	15.3530i	0.335873	−	0.799243i
$370$	0.431805	+	0.0889265i	0.0224485	+	0.00462307i
$371$	22.2457	+	18.6664i	1.15494	+	0.969111i
$372$	−1.17159	+	0.0737714i	−0.0607441	+	0.00382487i
$373$	4.88371	−	8.45884i	0.252869	−	0.437982i	−0.711445	−	0.702741i	$-0.751959\pi$
$373$	4.88371	−	8.45884i	0.252869	−	0.437982i	0.964315	+	0.264759i	$0.0852925\pi$
$374$	−2.16667	+	0.788602i	−0.112036	+	0.0407776i
$375$	7.03673	−	18.0412i	0.363375	−	0.931643i
$376$	−23.7402	−	4.18604i	−1.22431	−	0.215878i
$377$	−8.08313	−	2.94202i	−0.416302	−	0.151522i
$378$	25.4033	+	20.7118i	1.30660	+	1.06530i
$379$		−	6.22701i		−	0.319860i	−0.987128	−	0.159930i	$-0.948873\pi$
$379$		−	6.22701i		−	0.319860i	0.987128	−	0.159930i	$-0.0511269\pi$
$380$	0.653874	+	2.37507i	0.0335431	+	0.121838i
$381$	1.16906	+	0.580250i	0.0598927	+	0.0297271i
$382$	0.0138966	−	0.0116606i	0.000711013	−	0.000596611i
$383$	−6.54307	+	17.9769i	−0.334335	+	0.918579i	0.652634	+	0.757673i	$0.273664\pi$
$383$	−6.54307	+	17.9769i	−0.334335	+	0.918579i	−0.986970	+	0.160906i	$0.948558\pi$
$384$	−18.0875	−	13.3338i	−0.923024	−	0.680438i
$385$	−12.7201	+	10.0685i	−0.648274	+	0.513137i
$386$	9.83700	+	27.0269i	0.500690	+	1.37563i
$387$	−1.84687	−	14.6073i	−0.0938818	−	0.742529i
$388$	0.228346	+	0.395506i	0.0115925	+	0.0200788i
$389$	−1.99203	+	2.37401i	−0.101000	+	0.120367i	−0.814177	−	0.580617i	$-0.802811\pi$
$389$	−1.99203	+	2.37401i	−0.101000	+	0.120367i	0.713177	+	0.700984i	$0.247256\pi$
$390$	25.4024	+	19.8707i	1.28630	+	1.00619i
$391$	−3.42354	−	5.92975i	−0.173136	−	0.299880i
$392$	24.2160	+	13.9811i	1.22309	+	0.706152i
$393$	−3.53447	+	31.5253i	−0.178290	+	1.59024i
$394$	18.8301	−	3.32025i	0.948644	−	0.167272i
$395$	4.30026	+	12.9549i	0.216370	+	0.651831i
$396$	−1.25033	+	0.387186i	−0.0628316	+	0.0194568i
$397$	−7.42664	−	8.85072i	−0.372732	−	0.444205i	0.546774	−	0.837280i	$-0.315856\pi$
$397$	−7.42664	−	8.85072i	−0.372732	−	0.444205i	−0.919506	+	0.393075i	$0.871411\pi$
$398$		−	21.9959i		−	1.10255i
$399$	0.350266	+	31.7276i	0.0175352	+	1.58837i
$400$	12.1842	−	18.5672i	0.609210	−	0.928361i
$401$	19.5983	−	16.4449i	0.978691	−	0.821219i	−0.00520024	−	0.999986i	$-0.501655\pi$
$401$	19.5983	−	16.4449i	0.978691	−	0.821219i	0.983891	+	0.178767i	$0.0572109\pi$
$402$	9.78459	−	9.31871i	0.488011	−	0.464775i
$403$	−14.6517	−	2.58349i	−0.729853	−	0.128693i
$404$	−1.89368	+	0.333906i	−0.0942140	+	0.0166125i
$405$	16.9208	−	10.8943i	0.840802	−	0.541342i
$406$	4.88995	−	8.46964i	0.242684	−	0.420341i
$407$	−0.196385	+	0.113383i	−0.00973443	+	0.00562017i
$408$	3.70400	−	1.61847i	0.183375	−	0.0801260i
$409$	21.3550	−	25.4499i	1.05593	−	1.25841i	0.0910206	−	0.995849i	$-0.470987\pi$
$409$	21.3550	−	25.4499i	1.05593	−	1.25841i	0.964914	−	0.262565i	$-0.0845685\pi$
$410$	15.8619	+	9.77236i	0.783362	+	0.482623i
$411$	0.0308577	−	0.0205041i	0.00152210	−	0.00101139i
$412$	2.75716	−	1.00352i	0.135836	−	0.0494401i
$413$	−10.4029	+	1.83432i	−0.511895	+	0.0902609i
$414$	−15.8395	−	30.8124i	−0.778467	−	1.51434i
$415$	3.37711	+	22.9720i	0.165776	+	1.12765i
$416$	5.06940	+	6.04147i	0.248548	+	0.296208i
$417$	27.5490	+	13.6737i	1.34908	+	0.669602i
$418$	−9.47501	−	6.14620i	−0.463438	−	0.300621i
$419$		−	16.0209i		−	0.782673i	−0.920248	−	0.391336i	$-0.872013\pi$
$419$		−	16.0209i		−	0.782673i	0.920248	−	0.391336i	$-0.127987\pi$
$420$	−3.05882	+	2.75090i	−0.149255	+	0.134230i
$421$	6.02882	−	16.5640i	0.293827	−	0.807282i	−0.701671	−	0.712501i	$-0.747563\pi$
$421$	6.02882	−	16.5640i	0.293827	−	0.807282i	0.995498	−	0.0947814i	$-0.0302152\pi$
$422$	−2.01220	+	11.4118i	−0.0979524	+	0.555516i
$423$	18.7346	−	20.2358i	0.910908	−	0.983897i
$424$	17.0281	−	6.19771i	0.826956	−	0.300987i
$425$	2.00106	+	3.97413i	0.0970657	+	0.192773i
$426$	−2.46800	+	0.155403i	−0.119575	+	0.00752929i
$427$	22.2932	−	26.5680i	1.07885	−	1.28572i
$428$	1.82017	−	2.16920i	0.0879813	−	0.104852i
$429$	−16.5559	+	1.04247i	−0.799326	+	0.0503312i
$430$	16.4647	+	0.470505i	0.794000	+	0.0226897i
$431$	−6.63742	+	2.41582i	−0.319713	+	0.116366i	−0.496891	−	0.867813i	$-0.665525\pi$
$431$	−6.63742	+	2.41582i	−0.319713	+	0.116366i	0.177178	+	0.984179i	$0.443303\pi$
$432$	21.5738	−	8.19898i	1.03797	−	0.394474i
$433$	−3.63282	+	20.6027i	−0.174582	+	0.990104i	0.764043	+	0.645165i	$0.223211\pi$
$433$	−3.63282	+	20.6027i	−0.174582	+	0.990104i	−0.938625	+	0.344939i	$0.887900\pi$
$434$	5.78534	−	15.8951i	0.277705	−	0.762989i
$435$	−4.01535	−	4.46481i	−0.192521	−	0.214071i
$436$		−	2.32636i		−	0.111412i
$437$	13.0886	−	30.8790i	0.626113	−	1.47714i
$438$	31.7278	+	15.7477i	1.51601	+	0.752456i
$439$	4.24144	+	5.05475i	0.202433	+	0.241250i	0.857704	−	0.514144i	$-0.171890\pi$
$439$	4.24144	+	5.05475i	0.202433	+	0.241250i	−0.655271	+	0.755394i	$0.727446\pi$
$440$	1.47235	+	10.0153i	0.0701915	+	0.477462i
$441$	−28.4487	+	14.6244i	−1.35470	+	0.696399i
$442$	−7.29774	+	1.28679i	−0.347118	+	0.0612063i
$443$	−16.2280	+	5.90651i	−0.771015	+	0.280627i	−0.697421	−	0.716662i	$-0.745669\pi$
$443$	−16.2280	+	5.90651i	−0.771015	+	0.280627i	−0.0735943	+	0.997288i	$0.523447\pi$
$444$	−0.0478955	+	0.0318253i	−0.00227302	+	0.00151036i
$445$	2.58156	−	4.19023i	0.122378	−	0.198636i
$446$	−3.02591	+	3.60614i	−0.143281	+	0.170756i
$447$	−34.9583	+	15.2751i	−1.65347	+	0.722486i
$448$	24.5662	−	14.1833i	1.16065	−	0.670099i
$449$	4.22839	−	7.32379i	0.199550	−	0.345631i	−0.748833	−	0.662759i	$-0.769385\pi$
$449$	4.22839	−	7.32379i	0.199550	−	0.345631i	0.948383	+	0.317128i	$0.102719\pi$
$450$	9.13282	+	20.5781i	0.430525	+	0.970062i
$451$	−9.43729	+	1.66405i	−0.444384	+	0.0783570i
$452$	−0.756719	−	0.133430i	−0.0355931	−	0.00627602i
$453$	20.4076	−	19.4359i	0.958834	−	0.913180i
$454$	3.10275	−	2.60351i	0.145619	−	0.122189i
$455$	−45.8788	+	24.7685i	−2.15083	+	1.16116i
$456$	17.2549	+	9.70977i	0.808037	+	0.454702i
$457$			5.58194i			0.261112i	0.991441	+	0.130556i	$0.0416762\pi$
$457$			5.58194i			0.261112i	−0.991441	+	0.130556i	$0.958324\pi$
$458$	−11.6310	−	13.8613i	−0.543482	−	0.647696i
$459$	−0.738584	+	4.56468i	−0.0344742	+	0.213061i
$460$	4.12697	−	1.36991i	0.192421	−	0.0638725i
$461$	−9.14309	+	1.61217i	−0.425836	+	0.0750864i	−0.382459	−	0.923972i	$-0.624923\pi$
$461$	−9.14309	+	1.61217i	−0.425836	+	0.0750864i	−0.0433769	+	0.999059i	$0.513812\pi$
$462$	2.10138	−	18.7430i	0.0977651	−	0.872006i
$463$	−4.71748	−	2.72364i	−0.219240	−	0.126578i	0.386358	−	0.922349i	$-0.373733\pi$
$463$	−4.71748	−	2.72364i	−0.219240	−	0.126578i	−0.605598	+	0.795771i	$0.707066\pi$
$464$	−3.44320	−	5.96380i	−0.159847	−	0.276863i
$465$	−8.18036	−	6.39899i	−0.379355	−	0.296746i
$466$	1.29000	−	1.53737i	0.0597582	−	0.0712171i
$467$	−1.62526	−	2.81504i	−0.0752082	−	0.130265i	0.825969	−	0.563716i	$-0.190629\pi$
$467$	−1.62526	−	2.81504i	−0.0752082	−	0.130265i	−0.901177	+	0.433452i	$0.857295\pi$
$468$	−4.17347	+	0.527673i	−0.192919	+	0.0243917i
$469$	7.47109	+	20.5266i	0.344983	+	0.947832i
$470$	19.1471	+	24.1896i	0.883190	+	1.11578i
$471$	−7.65812	−	5.64544i	−0.352868	−	0.260128i
$472$	−2.25446	+	6.19408i	−0.103770	+	0.285106i
$473$	−6.49016	+	5.44589i	−0.298418	+	0.250402i
$474$	−14.2149	−	7.05539i	−0.652910	−	0.324065i
$475$	−9.63748	+	19.5479i	−0.442198	+	0.896917i
$476$		−	0.945245i		−	0.0433252i
$477$	−4.59048	+	20.2148i	−0.210183	+	0.925572i
$478$	−13.0686	−	4.75659i	−0.597745	−	0.217561i
$479$	28.0465	+	4.94535i	1.28148	+	0.225959i	0.772607	−	0.634885i	$-0.218952\pi$
$479$	28.0465	+	4.94535i	1.28148	+	0.225959i	0.508869	+	0.860844i	$0.330064\pi$
$480$	1.14146	+	5.38582i	0.0521005	+	0.245828i
$481$	−0.684847	+	0.249264i	−0.0312263	+	0.0113655i
$482$	−6.92064	+	11.9869i	−0.315227	+	0.545989i
$483$	55.8976	−	3.51970i	2.54343	−	0.160152i
$484$	−1.55276	−	1.30292i	−0.0705801	−	0.0592238i
$485$	−0.814991	+	3.95740i	−0.0370069	+	0.179696i
$486$	−4.85853	+	22.8869i	−0.220388	+	1.03817i
$487$	−9.88944	+	17.1290i	−0.448133	+	0.776190i	−0.998265	−	0.0588885i	$-0.981244\pi$
$487$	−9.88944	+	17.1290i	−0.448133	+	0.776190i	0.550131	+	0.835078i	$0.314578\pi$
$488$	−7.40191	−	20.3366i	−0.335069	−	0.920594i
$489$	14.7011	+	4.32594i	0.664807	+	0.195626i
$490$	−11.2736	−	33.9627i	−0.509290	−	1.53428i
$491$	−5.48791	+	15.0779i	−0.247666	+	0.680457i	0.752105	+	0.659044i	$0.229039\pi$
$491$	−5.48791	+	15.0779i	−0.247666	+	0.680457i	−0.999771	+	0.0214132i	$0.993183\pi$
$492$	−2.36193	+	0.571542i	−0.106484	+	0.0257671i
$493$	1.37973			0.0621397
$494$	−26.5589	−	24.7410i	−1.19494	−	1.11315i
$495$	−10.5433	−	4.78952i	−0.473887	−	0.215273i
$496$	−7.65602	−	9.12409i	−0.343765	−	0.409684i
$497$	1.36731	−	3.75665i	0.0613322	−	0.168509i
$498$	−21.7285	−	16.0179i	−0.973676	−	0.717778i
$499$	5.26842	+	29.8787i	0.235847	+	1.33756i	0.840823	+	0.541311i	$0.182072\pi$
$499$	5.26842	+	29.8787i	0.235847	+	1.33756i	−0.604975	+	0.796244i	$0.706817\pi$
$500$	−2.72832	+	0.735615i	−0.122014	+	0.0328977i
$501$	3.29863	+	4.96428i	0.147372	+	0.221788i
$502$	16.7590	+	29.0274i	0.747991	+	1.29556i
$503$	24.2643	+	20.3602i	1.08189	+	0.907816i	0.996077	−	0.0884951i	$-0.0282058\pi$
$503$	24.2643	+	20.3602i	1.08189	+	0.907816i	0.0858162	+	0.996311i	$0.472650\pi$
$504$	−1.61175	+	33.0250i	−0.0717928	+	1.47105i
$505$	−14.4840	−	8.92349i	−0.644531	−	0.397090i
$506$	−9.96786	+	17.2648i	−0.443126	+	0.767516i
$507$	−30.6058	−	3.43137i	−1.35925	−	0.152393i
$508$	−0.0330708	−	0.187554i	−0.00146728	−	0.00832136i
$509$	−7.12913	+	40.4313i	−0.315993	+	1.79209i	0.250602	+	0.968090i	$0.419371\pi$
$509$	−7.12913	+	40.4313i	−0.315993	+	1.79209i	−0.566595	+	0.823996i	$0.691740\pi$
$510$	−4.91886	−	1.60145i	−0.217811	−	0.0709134i
$511$	−43.8656	+	36.8076i	−1.94050	+	1.62827i
$512$		−	16.9823i		−	0.750520i
$513$	−20.0282	+	10.5769i	−0.884268	+	0.466981i
$514$	31.4245			1.38607
$515$	24.1296	+	9.57156i	1.06328	+	0.421773i
$516$	−1.55579	+	1.48171i	−0.0684898	+	0.0652287i
$517$	−15.6272	−	2.75550i	−0.687285	−	0.121187i
$518$	−0.143886	−	0.816018i	−0.00632199	−	0.0358538i
$519$	3.87600	−	34.5715i	0.170137	−	1.51752i
$520$	−0.929331	+	32.5208i	−0.0407539	+	1.42613i
$521$	−3.88875	−	6.73552i	−0.170369	−	0.295088i	0.768180	−	0.640234i	$-0.221163\pi$
$521$	−3.88875	−	6.73552i	−0.170369	−	0.295088i	−0.938549	+	0.345146i	$0.887829\pi$
$522$	6.97289	+	0.340303i	0.305195	+	0.0148947i
$523$	−20.5056	−	17.2063i	−0.896649	−	0.752378i	0.0728838	−	0.997340i	$-0.476780\pi$
$523$	−20.5056	−	17.2063i	−0.896649	−	0.752378i	−0.969532	+	0.244963i	$0.921224\pi$
$524$	4.00885	−	2.31451i	0.175128	−	0.101110i
$525$	−36.3957	+	0.209150i	−1.58844	+	0.00912806i
$526$	−9.98627	−	27.4370i	−0.435422	−	1.19631i
$527$	2.35010	−	0.414387i	0.102372	−	0.0180510i
$528$	−10.6897	−	7.88028i	−0.465210	−	0.342945i
$529$	−34.0182	−	12.3816i	−1.47905	−	0.538331i
$530$	−21.5564	−	8.55081i	−0.936348	−	0.371424i
$531$	−4.55960	−	6.00575i	−0.197870	−	0.260627i
$532$	3.69625	−	2.78831i	0.160253	−	0.120889i
$533$	−30.7983			−1.33402
$534$	1.34575	+	5.56140i	0.0582363	+	0.240665i
$535$	24.7861	−	3.64380i	1.07160	−	0.157535i
$536$	13.4236	+	2.36695i	0.579813	+	0.102237i
$537$	−3.79415	+	12.8939i	−0.163730	+	0.556412i
$538$	−1.79581	−	4.93396i	−0.0774231	−	0.212718i
$539$	15.9404	+	9.20321i	0.686603	+	0.396410i
$540$	−2.74470	−	1.04415i	−0.118113	−	0.0449329i
$541$	−2.08036	−	1.74563i	−0.0894416	−	0.0750504i	0.596971	−	0.802263i	$-0.296371\pi$
$541$	−2.08036	−	1.74563i	−0.0894416	−	0.0750504i	−0.686412	+	0.727213i	$0.740815\pi$
$542$	15.7742	−	18.7989i	0.677558	−	0.807483i
$543$	9.59936	−	0.604443i	0.411948	−	0.0259391i
$544$	−1.09551	−	0.632496i	−0.0469698	−	0.0271180i
$545$	13.6747	−	15.3822i	0.585760	−	0.658903i
$546$	17.1112	−	58.1502i	0.732293	−	2.48860i
$547$	3.03895	−	17.2347i	0.129936	−	0.736904i	−0.848317	−	0.529489i	$-0.822384\pi$
$547$	3.03895	−	17.2347i	0.129936	−	0.736904i	0.978253	−	0.207415i	$-0.0665051\pi$
$548$	−0.00508017	−	0.00184903i	−0.000217014	−	7.89866e-5i
$549$	24.1425	+	5.48240i	1.03038	+	0.233983i
$550$	7.10760	−	10.8311i	0.303069	−	0.461840i
$551$	4.06995	+	5.39522i	0.173386	+	0.229844i
$552$	15.5381	−	31.3054i	0.661345	−	1.33244i
$553$	19.6529	−	16.4907i	0.835726	−	0.701257i
$554$	24.5021	+	8.91803i	1.04099	+	0.378891i
$555$	−0.503766	−	0.0711035i	−0.0213837	−	0.00301818i
$556$	−0.779318	−	4.41973i	−0.0330504	−	0.187438i
$557$	−24.1959	+	8.80659i	−1.02521	+	0.373147i	−0.799256	−	0.600990i	$-0.794773\pi$
$557$	−24.1959	+	8.80659i	−1.02521	+	0.373147i	−0.225957	+	0.974137i	$0.572551\pi$
$558$	11.9792	−	1.51460i	0.507121	−	0.0641180i
$559$	−23.5810	+	13.6145i	−0.997372	+	0.575833i
$560$	−40.8819	−	8.41927i	−1.72758	−	0.355779i
$561$	2.43819	−	1.06537i	0.102941	−	0.0449801i
$562$	27.3205	−	15.7735i	1.15244	−	0.665364i
$563$	1.21692	+	0.702587i	0.0512869	+	0.0296105i	0.525424	−	0.850840i	$-0.323907\pi$
$563$	1.21692	+	0.702587i	0.0512869	+	0.0296105i	−0.474137	+	0.880451i	$0.657240\pi$
$564$	−3.99896	−	0.448344i	−0.168386	−	0.0188787i
$565$	−4.21922	−	5.33037i	−0.177504	−	0.224250i
$566$	−4.83339	+	27.4115i	−0.203163	+	1.15219i
$567$	−30.7594	−	22.0119i	−1.29177	−	0.924411i
$568$	−1.60350	−	1.91098i	−0.0672814	−	0.0801828i
$569$	37.9732			1.59192			0.795959	−	0.605350i	$-0.206967\pi$
$569$	37.9732			1.59192			0.795959	+	0.605350i	$0.206967\pi$
$570$	−8.24754	−	23.9585i	−0.345451	−	1.00351i
$571$	6.41155			0.268315			0.134157	−	0.990960i	$-0.457167\pi$
$571$	6.41155			0.268315			0.134157	+	0.990960i	$0.457167\pi$
$572$	1.55596	+	1.85432i	0.0650578	+	0.0775329i
$573$	−0.0151593	+	0.0144375i	−0.000633290	+	0.000603137i
$574$	6.08047	−	34.4841i	0.253794	−	1.43934i
$575$	35.3407	+	15.2009i	1.47381	+	0.633922i
$576$	17.0218	+	10.9673i	0.709240	+	0.456969i
$577$	16.6407	+	9.60753i	0.692763	+	0.399967i	0.804646	−	0.593755i	$-0.202355\pi$
$577$	16.6407	+	9.60753i	0.692763	+	0.399967i	−0.111883	+	0.993721i	$0.535688\pi$
$578$	−21.0677	+	12.1635i	−0.876303	+	0.505934i
$579$	−13.2894	−	30.4140i	−0.552290	−	1.26396i
$580$	−0.176742	+	0.858216i	−0.00733881	+	0.0356355i
$581$	37.7933	−	21.8199i	1.56793	−	0.905244i
$582$	−2.59973	−	3.91246i	−0.107762	−	0.162177i
$583$	11.2089	−	4.07971i	0.464225	−	0.168964i
$584$	6.20478	+	35.1891i	0.256756	+	1.45613i
$585$	−30.6973	−	21.0432i	−1.26918	−	0.870030i
$586$	15.8487	+	5.76846i	0.654704	+	0.238293i
$587$	31.3413	−	26.2985i	1.29359	−	1.08545i	0.302380	−	0.953187i	$-0.402219\pi$
$587$	31.3413	−	26.2985i	1.29359	−	1.08545i	0.991214	−	0.132267i	$-0.0422257\pi$
$588$	4.18097	+	2.07518i	0.172420	+	0.0855790i
$589$	8.55280	+	7.96738i	0.352412	+	0.328290i
$590$	7.42300	−	4.00743i	0.305600	−	0.164983i
$591$	−21.4461	+	5.18954i	−0.882175	+	0.213469i
$592$	−0.548268	−	0.199553i	−0.0225337	−	0.00820158i
$593$	−6.76642	+	38.3743i	−0.277864	+	1.57584i	0.451853	+	0.892092i	$0.350763\pi$
$593$	−6.76642	+	38.3743i	−0.277864	+	1.57584i	−0.729716	+	0.683750i	$0.760348\pi$
$594$	12.5850	−	4.78284i	0.516368	−	0.196242i
$595$	5.55630	−	6.25010i	0.227786	−	0.256229i
$596$	4.82104	+	2.78343i	0.197478	+	0.114014i
$597$	1.59514	+	25.3330i	0.0652849	+	1.03681i
$598$	−41.1842	+	49.0814i	−1.68415	+	2.00709i
$599$	−30.0713	−	25.2328i	−1.22868	−	1.03098i	−0.998324	−	0.0578770i	$-0.981567\pi$
$599$	−30.0713	−	25.2328i	−1.22868	−	1.03098i	−0.230355	−	0.973107i	$-0.573989\pi$
$600$	−11.2425	+	19.7336i	−0.458972	+	0.805619i
$601$	4.81191	+	2.77816i	0.196282	+	0.113324i	0.594920	−	0.803785i	$-0.297184\pi$
$601$	4.81191	+	2.77816i	0.196282	+	0.113324i	−0.398638	+	0.917108i	$0.630517\pi$
$602$	−10.5883	−	29.0910i	−0.431545	−	1.18566i
$603$	−10.5933	+	11.4421i	−0.431392	+	0.465958i
$604$	−4.04987	−	0.714102i	−0.164787	−	0.0290564i
$605$	−2.60832	−	17.7425i	−0.106043	−	0.721335i
$606$	19.2237	−	4.65175i	0.780908	−	0.188965i
$607$	6.19006			0.251247			0.125623	−	0.992078i	$-0.459907\pi$
$607$	6.19006			0.251247			0.125623	+	0.992078i	$0.459907\pi$
$608$	−0.758294	−	6.14961i	−0.0307529	−	0.249400i
$609$	−5.01762	+	10.1092i	−0.203324	+	0.409647i
$610$	−10.2122	+	25.7447i	−0.413481	+	1.04237i
$611$	−47.9234	−	17.4427i	−1.93877	−	0.705655i
$612$	0.600097	−	0.308487i	0.0242575	−	0.0124698i
$613$	−28.2355	+	4.97868i	−1.14042	+	0.201087i	−0.711790	−	0.702392i	$-0.752115\pi$
$613$	−28.2355	+	4.97868i	−1.14042	+	0.201087i	−0.428632	+	0.903479i	$0.641004\pi$
$614$	−11.4365	−	31.4216i	−0.461541	−	1.26807i
$615$	−18.9771	−	10.1047i	−0.765229	−	0.407460i
$616$	16.4771	−	9.51303i	0.663880	−	0.383291i
$617$	−3.53599	−	2.96704i	−0.142353	−	0.119449i	0.568830	−	0.822455i	$-0.307396\pi$
$617$	−3.53599	−	2.96704i	−0.142353	−	0.119449i	−0.711184	+	0.703006i	$0.751841\pi$
$618$	−27.6549	+	12.0838i	−1.11244	+	0.486083i
$619$	−12.4900	−	21.6332i	−0.502014	−	0.869513i	−0.999997	−	0.00232676i	$-0.999259\pi$
$619$	−12.4900	−	21.6332i	−0.502014	−	0.869513i	0.497984	−	0.867186i	$-0.334074\pi$
$620$	−0.0432903	+	1.51489i	−0.00173858	+	0.0608395i
$621$	20.4771	+	34.3384i	0.821717	+	1.37795i
$622$	3.98301	+	22.5888i	0.159704	+	0.905727i
$623$	−9.10965	−	1.60628i	−0.364970	−	0.0643541i
$624$	−29.4358	−	30.9074i	−1.17837	−	1.23728i
$625$	−22.3641	−	11.1735i	−0.894564	−	0.446939i
$626$	−16.7915			−0.671122
$627$	11.3582	+	6.39155i	0.453605	+	0.255254i
$628$			1.38830i			0.0553994i
$629$	0.0895490	−	0.0751405i	0.00357055	−	0.00299605i
$630$	29.6221	−	30.2165i	1.18017	−	1.20385i
$631$	−0.653873	+	3.70830i	−0.0260303	+	0.147625i	−0.995053	−	0.0993473i	$-0.968325\pi$
$631$	−0.653873	+	3.70830i	−0.0260303	+	0.147625i	0.969023	+	0.246972i	$0.0794356\pi$
$632$	−2.77990	−	15.7656i	−0.110579	−	0.627122i
$633$	1.48990	−	13.2890i	0.0592183	−	0.528192i
$634$	−19.2030	+	33.2606i	−0.762649	+	1.32095i
$635$	0.883802	−	1.43453i	0.0350726	−	0.0569276i
$636$	2.77181	−	1.21115i	0.109909	−	0.0480250i
$637$	45.3162	+	38.0248i	1.79550	+	1.50660i
$638$	−2.00858	−	3.47896i	−0.0795204	−	0.137733i
$639$	2.83117	−	0.357960i	0.111999	−	0.0141607i
$640$	−19.2744	+	21.6812i	−0.761890	+	0.857025i
$641$	−5.06497	−	28.7248i	−0.200054	−	1.13456i	−0.905035	−	0.425337i	$-0.860156\pi$
$641$	−5.06497	−	28.7248i	−0.200054	−	1.13456i	0.704981	−	0.709226i	$-0.250956\pi$
$642$	−17.2828	+	23.4443i	−0.682097	+	0.925274i
$643$	−2.80302	+	7.70122i	−0.110540	+	0.303706i	−0.982612	−	0.185672i	$-0.940554\pi$
$643$	−2.80302	+	7.70122i	−0.110540	+	0.303706i	0.872072	+	0.489378i	$0.162776\pi$
$644$	−5.25337	−	6.26072i	−0.207012	−	0.246707i
$645$	−18.9968	+	0.652137i	−0.748000	+	0.0256779i
$646$	5.36035	+	2.27208i	0.210900	+	0.0893937i
$647$	−33.7275			−1.32597			−0.662983	−	0.748635i	$-0.730710\pi$
$647$	−33.7275			−1.32597			−0.662983	+	0.748635i	$0.730710\pi$
$648$	−21.4922	+	9.75471i	−0.844295	+	0.383201i
$649$	−1.48402	+	4.07732i	−0.0582530	+	0.160049i
$650$	28.5407	−	30.3145i	1.11946	−	1.18903i
$651$	−5.51036	+	18.7262i	−0.215968	+	0.733938i
$652$	−0.764807	−	2.10129i	−0.0299521	−	0.0822928i
$653$	7.58985	−	13.1460i	0.297014	−	0.514443i	−0.678437	−	0.734658i	$-0.737343\pi$
$653$	7.58985	−	13.1460i	0.297014	−	0.514443i	0.975451	+	0.220215i	$0.0706759\pi$
$654$	1.50372	+	23.8812i	0.0588003	+	0.933827i
$655$	40.1122	+	8.26075i	1.56731	+	0.322774i
$656$	−18.8877	−	15.8487i	−0.737441	−	0.618787i
$657$	−37.6834	−	15.8360i	−1.47017	−	0.617823i
$658$	28.9916	−	50.2149i	1.13021	−	1.95758i
$659$	−47.5403	+	17.3032i	−1.85191	+	0.674038i	−0.867679	+	0.497125i	$0.834389\pi$
$659$	−47.5403	+	17.3032i	−1.85191	+	0.674038i	−0.984226	+	0.176913i	$0.943389\pi$
$660$	0.350351	+	1.65308i	0.0136374	+	0.0643460i
$661$	17.3080	+	3.05186i	0.673201	+	0.118704i	0.499791	−	0.866146i	$-0.333410\pi$
$661$	17.3080	+	3.05186i	0.673201	+	0.118704i	0.173410	+	0.984850i	$0.444521\pi$
$662$	47.6831	+	17.3552i	1.85326	+	0.674531i
$663$	8.31161	−	2.01125i	0.322796	−	0.0781104i
$664$		−	27.2314i		−	1.05678i
$665$	40.8303	+	3.29039i	1.58333	+	0.127596i
$666$	0.471098	−	0.357660i	0.0182547	−	0.0138591i
$667$	9.13845	−	7.66807i	0.353842	−	0.296909i
$668$	0.297466	−	0.817280i	0.0115093	−	0.0316215i
$669$	3.22347	−	4.37269i	0.124627	−	0.169058i
$670$	−10.8265	−	13.6777i	−0.418265	−	0.528417i
$671$	−4.87238	−	13.3868i	−0.188096	−	0.516790i
$672$	8.61833	−	5.72665i	0.332459	−	0.220910i
$673$	10.8847	+	18.8529i	0.419574	+	0.726724i	0.995897	−	0.0904984i	$-0.0288460\pi$
$673$	10.8847	+	18.8529i	0.419574	+	0.726724i	−0.576322	+	0.817223i	$0.695513\pi$
$674$	−9.84206	+	11.7293i	−0.379102	+	0.451796i
$675$	−12.0107	−	23.0378i	−0.462294	−	0.886727i
$676$	2.24700	+	3.89192i	0.0864232	+	0.149689i
$677$	−0.274021	−	0.158206i	−0.0105315	−	0.00608036i	0.494725	−	0.869050i	$-0.335269\pi$
$677$	−0.274021	−	0.158206i	−0.0105315	−	0.00608036i	−0.505257	+	0.862969i	$0.668602\pi$
$678$	7.85432	+	0.880589i	0.301643	+	0.0338188i
$679$	7.47863	−	1.31868i	0.287003	−	0.0506064i
$680$	−1.64400	−	4.95268i	−0.0630444	−	0.189926i
$681$	−3.38468	+	3.22352i	−0.129701	+	0.123526i
$682$	−4.46611	−	5.32250i	−0.171016	−	0.203809i
$683$			1.02138i			0.0390820i	0.999809	+	0.0195410i	$0.00622049\pi$
$683$			1.02138i			0.0390820i	−0.999809	+	0.0195410i	$0.993780\pi$
$684$	2.97648	+	1.43661i	0.113808	+	0.0549302i
$685$	−0.0227219	−	0.0420881i	−0.000868161	−	0.00160810i
$686$	−17.6975	+	14.8500i	−0.675695	+	0.566975i
$687$	14.4009	+	15.1208i	0.549427	+	0.576895i
$688$	−21.4676	−	3.78531i	−0.818443	−	0.144314i
$689$	37.7537	−	6.65699i	1.43830	−	0.253611i
$690$	−41.4798	+	16.7304i	−1.57911	+	0.636916i
$691$	−16.7521	+	29.0155i	−0.637281	+	1.10380i	0.348746	+	0.937217i	$0.386607\pi$
$691$	−16.7521	+	29.0155i	−0.637281	+	1.10380i	−0.986027	+	0.166585i	$0.946726\pi$
$692$	−4.39622	+	2.53816i	−0.167119	+	0.0964864i
$693$	−1.06095	+	21.7391i	−0.0403021	+	0.825799i
$694$	−28.9008	+	34.4426i	−1.09706	+	1.30742i
$695$	20.8269	−	33.8049i	0.790009	−	1.28229i
$696$	3.89756	+	5.86563i	0.147737	+	0.222336i
$697$	4.64206	−	1.68957i	0.175831	−	0.0639971i
$698$	−25.2608	+	4.45416i	−0.956134	+	0.168592i
$699$	−1.37423	+	1.86416i	−0.0519781	+	0.0705090i
$700$	3.17593	+	4.25676i	0.120039	+	0.160890i
$701$	−1.96646	−	2.34354i	−0.0742723	−	0.0885143i	0.727629	−	0.685971i	$-0.240622\pi$
$701$	−1.96646	−	2.34354i	−0.0742723	−	0.0885143i	−0.801901	+	0.597457i	$0.796178\pi$
$702$	42.5015	−	8.11448i	1.60412	−	0.306261i
$703$	0.557981	+	0.128517i	0.0210446	+	0.00484712i
$704$		−	11.6518i		−	0.439143i
$705$	−23.8063	−	26.4710i	−0.896596	−	0.996956i
$706$	−1.07630	+	2.95711i	−0.0405070	+	0.111292i
$707$	−5.55229	+	31.4886i	−0.208816	+	1.18425i
$708$	−0.310610	+	1.05556i	−0.0116734	+	0.0396705i
$709$	19.2064	−	6.99056i	0.721312	−	0.262536i	0.0448294	−	0.998995i	$-0.485726\pi$
$709$	19.2064	−	6.99056i	0.721312	−	0.262536i	0.676483	+	0.736459i	$0.263503\pi$
$710$	−0.0911930	+	3.19119i	−0.00342241	+	0.119763i
$711$	16.8831	+	7.09495i	0.633167	+	0.266081i
$712$	−3.71026	+	4.42172i	−0.139048	+	0.165711i
$713$	13.2626	−	15.8058i	0.496689	−	0.591930i
$714$	0.610992	+	9.70338i	0.0228658	+	0.363140i
$715$	−0.611742	+	21.4072i	−0.0228778	+	0.800583i
$716$	1.84298	−	0.670789i	0.0688753	−	0.0250686i
$717$	15.3963	+	4.53051i	0.574985	+	0.169195i
$718$	−5.29902	+	30.0522i	−0.197758	+	1.12154i
$719$	−10.2529	+	28.1697i	−0.382370	+	1.05055i	0.587986	+	0.808871i	$0.299921\pi$
$719$	−10.2529	+	28.1697i	−0.382370	+	1.05055i	−0.970356	+	0.241681i	$0.922301\pi$
$720$	−7.99704	−	28.7019i	−0.298032	−	1.06966i
$721$		−	48.7892i		−	1.81701i
$722$	6.92749	+	27.6632i	0.257814	+	1.02952i
$723$	7.10133	−	14.3074i	0.264101	−	0.532098i
$724$	−0.902167	−	1.07516i	−0.0335288	−	0.0399580i
$725$	−6.21337	+	4.63573i	−0.230759	+	0.172167i
$726$	16.7820	+	12.3714i	0.622839	+	0.459147i
$727$	22.6307	−	3.99040i	0.839326	−	0.147996i	0.262571	−	0.964913i	$-0.415430\pi$
$727$	22.6307	−	3.99040i	0.839326	−	0.147996i	0.576755	+	0.816917i	$0.304319\pi$
$728$	57.4600	−	20.9137i	2.12961	−	0.775114i
$729$	3.93589	−	26.7116i	0.145774	−	0.989318i
$730$	23.9860	−	38.9325i	0.887762	−	1.44096i
$731$	2.80736	−	3.34569i	0.103834	−	0.123745i
$732$	−1.44647	−	3.31037i	−0.0534630	−	0.122355i
$733$	11.4745	−	6.62479i	0.423819	−	0.244692i	−0.272891	−	0.962045i	$-0.587980\pi$
$733$	11.4745	−	6.62479i	0.423819	−	0.244692i	0.696710	+	0.717353i	$0.254646\pi$
$734$	−3.63630	+	6.29826i	−0.134218	+	0.232473i
$735$	15.4470	+	38.2978i	0.569771	+	1.41264i
$736$	−10.7712	+	1.89926i	−0.397033	+	0.0700076i
$737$	8.83625	+	1.55807i	0.325487	+	0.0573922i
$738$	23.8769	−	7.39387i	0.878922	−	0.272172i
$739$	6.70462	−	5.62584i	0.246633	−	0.206950i	−0.511088	−	0.859529i	$-0.670757\pi$
$739$	6.70462	−	5.62584i	0.246633	−	0.206950i	0.757721	+	0.652579i	$0.226313\pi$
$740$	0.0352677	+	0.0653266i	0.00129647	+	0.00240145i
$741$	32.3825	+	26.5685i	1.18960	+	0.976020i
$742$			43.5862i			1.60010i
$743$	−17.5416	−	20.9052i	−0.643537	−	0.766938i	0.341387	−	0.939923i	$-0.389103\pi$
$743$	−17.5416	−	20.9052i	−0.643537	−	0.766938i	−0.984924	+	0.172985i	$0.944659\pi$
$744$	8.40044	+	8.82041i	0.307975	+	0.323372i
$745$	15.5160	+	46.7433i	0.568463	+	1.71254i
$746$	14.4373	−	2.54569i	0.528589	−	0.0932045i
$747$	26.1867	+	16.8723i	0.958120	+	0.617325i
$748$	−0.336248	−	0.194133i	−0.0122944	−	0.00709819i
$749$	−23.5430	−	40.7777i	−0.860244	−	1.48999i
$750$	27.5320	−	9.31498i	1.00533	−	0.340135i
$751$	−2.98658	+	3.55926i	−0.108982	+	0.129879i	−0.817778	−	0.575534i	$-0.804794\pi$
$751$	−2.98658	+	3.55926i	−0.108982	+	0.129879i	0.708796	+	0.705413i	$0.249239\pi$
$752$	−20.4141	−	35.3583i	−0.744426	−	1.28938i
$753$	−21.4067	−	32.2160i	−0.780103	−	1.17402i
$754$	−4.41572	−	12.1321i	−0.160811	−	0.441824i
$755$	−22.5808	−	28.5275i	−0.821799	−	1.03822i
$756$	0.0779243	+	5.51878i	0.00283408	+	0.200716i
$757$	3.75874	−	10.3270i	0.136614	−	0.375343i	−0.852455	−	0.522801i	$-0.824887\pi$
$757$	3.75874	−	10.3270i	0.136614	−	0.375343i	0.989068	+	0.147458i	$0.0471092\pi$
$758$	7.15961	−	6.00763i	0.260049	−	0.218207i
$759$	10.2281	−	20.6071i	0.371257	−	0.747990i
$760$	14.5172	−	21.0382i	0.526596	−	0.763134i
$761$			28.1138i			1.01912i	0.860434	+	0.509562i	$0.170192\pi$
$761$			28.1138i			1.01912i	−0.860434	+	0.509562i	$0.829808\pi$
$762$	0.460720	+	1.90395i	0.0166901	+	0.0689730i
$763$	−36.3505	−	13.2305i	−1.31598	−	0.478976i
$764$	0.00300836		0.000530454i	0.000108838		1.91912e-5i
$765$	5.78127	+	1.48770i	0.209022	+	0.0537879i
$766$	−26.9818	+	9.82059i	−0.974894	+	0.354832i
$767$	−6.97252	+	12.0768i	−0.251763	+	0.436066i
$768$	−0.650143	−	10.3251i	−0.0234600	−	0.372577i
$769$	8.36247	+	7.01695i	0.301559	+	0.253038i	0.780993	−	0.624540i	$-0.214714\pi$
$769$	8.36247	+	7.01695i	0.301559	+	0.253038i	−0.479434	+	0.877578i	$0.659158\pi$
$770$	−23.8483	−	4.91135i	−0.859433	−	0.176993i
$771$	−36.1921	+	2.27890i	−1.30343	+	0.0820727i
$772$	−2.42161	+	4.19434i	−0.0871555	+	0.150958i
$773$	−7.70845	−	21.1788i	−0.277254	−	0.761749i	−0.997671	−	0.0682078i	$-0.978272\pi$
$773$	−7.70845	−	21.1788i	−0.277254	−	0.761749i	0.720417	−	0.693541i	$-0.243950\pi$
$774$	15.0131	−	16.2161i	0.539636	−	0.582876i
$775$	−9.19101	+	9.76223i	−0.330151	+	0.350669i
$776$	1.62072	−	4.45290i	0.0581806	−	0.159850i
$777$	0.224894	+	0.929387i	0.00806802	+	0.0333416i
$778$	−4.65141			−0.166761
$779$	20.3001	+	13.1682i	0.727328	+	0.471799i
$780$	0.186323	+	5.42762i	0.00667144	+	0.194340i
$781$	−1.05552	−	1.25792i	−0.0377695	−	0.0450119i
$782$	3.51490	−	9.65712i	0.125693	−	0.345338i
$783$	−8.05548	+	0.113742i	−0.287879	+	0.00406481i
$784$	8.22374	+	46.6391i	0.293705	+	1.66568i
$785$	−8.16067	+	9.17968i	−0.291267	+	0.327637i
$786$	−39.6567	+	26.3508i	−1.41451	+	0.939903i
$787$	−20.0384	−	34.7076i	−0.714293	−	1.23719i	−0.963232	−	0.268672i	$-0.913415\pi$
$787$	−20.0384	−	34.7076i	−0.714293	−	1.23719i	0.248939	−	0.968519i	$-0.419918\pi$
$788$	2.46647	+	2.06962i	0.0878645	+	0.0737271i
$789$	13.4911	+	30.8755i	0.480295	+	1.09920i
$790$	−10.7463	+	17.4428i	−0.382338	+	0.620586i
$791$	−6.38853	+	11.0653i	−0.227150	+	0.393435i
$792$	11.4168	+	7.35596i	0.405679	+	0.261383i
$793$	−7.95044	−	45.0892i	−0.282328	−	1.60116i
$794$	3.01128	−	17.0778i	0.106866	−	0.606068i
$795$	25.4469	+	8.28485i	0.902509	+	0.293833i
$796$	2.83738	−	2.38085i	0.100568	−	0.0843869i
$797$		−	14.0074i		−	0.496168i	−0.968738	−	0.248084i	$-0.920199\pi$
$797$		−	14.0074i		−	0.496168i	0.968738	−	0.248084i	$-0.0798009\pi$
$798$	−36.1414	+	31.0125i	−1.27939	+	1.09783i
$799$	8.18013			0.289392
$800$	7.05859	−	0.832475i	0.249559	−	0.0294324i
$801$	−1.95324	−	6.30756i	−0.0690142	−	0.222867i
$802$	37.8156	+	6.66791i	1.33532	+	0.235452i
$803$	4.08436	+	23.1636i	0.144134	+	0.817424i
$804$	2.26117	+	0.253511i	0.0797452	+	0.00894065i
$805$	2.06542	−	72.2769i	0.0727965	−	2.54743i
$806$	−11.1651	−	19.3385i	−0.393274	−	0.681170i
$807$	2.42608	+	5.55229i	0.0854021	+	0.195450i
$808$	15.2842	+	12.8250i	0.537696	+	0.451181i
$809$	−22.3954	+	12.9300i	−0.787380	+	0.454594i	−0.839039	−	0.544071i	$-0.816882\pi$
$809$	−22.3954	+	12.9300i	−0.787380	+	0.454594i	0.0516593	+	0.998665i	$0.483549\pi$
$810$	28.8506	+	8.94451i	1.01371	+	0.314278i
$811$	−1.32593	−	3.64295i	−0.0465596	−	0.127921i	0.914234	−	0.405188i	$-0.132794\pi$
$811$	−1.32593	−	3.64295i	−0.0465596	−	0.127921i	−0.960793	+	0.277266i	$0.910572\pi$
$812$	1.62184	−	0.285974i	0.0569155	−	0.0100357i
$813$	−16.8041	+	22.7950i	−0.589344	+	0.799454i
$814$	−0.319830	−	0.116408i	−0.0112100	−	0.00408011i
$815$	7.29469	−	18.3897i	0.255522	−	0.644163i
$816$	6.13225	+	3.04368i	0.214672	+	0.106550i
$817$	21.3641	+	1.10861i	0.747435	+	0.0387852i
$818$	49.8640			1.74345
$819$	−15.4902	+	68.2134i	−0.541273	+	2.38357i
$820$	0.456301	+	3.10389i	0.0159347	+	0.108392i
$821$	−18.4794	−	3.25842i	−0.644936	−	0.113720i	−0.158393	−	0.987376i	$-0.550631\pi$
$821$	−18.4794	−	3.25842i	−0.644936	−	0.113720i	−0.486543	+	0.873657i	$0.661742\pi$
$822$	0.0533455	+	0.0156974i	0.00186064	+	0.000547510i
$823$	8.10065	+	22.2564i	0.282371	+	0.775808i	0.997078	+	0.0763844i	$0.0243376\pi$
$823$	8.10065	+	22.2564i	0.282371	+	0.775808i	−0.714707	+	0.699424i	$0.753440\pi$
$824$	−26.3658	−	15.2223i	−0.918497	−	0.530294i
$825$	−7.40047	+	12.9898i	−0.257651	+	0.452247i
$826$	−12.1455	−	10.1913i	−0.422595	−	0.354599i
$827$	11.9969	−	14.2973i	0.417171	−	0.497166i	−0.516004	−	0.856586i	$-0.672581\pi$
$827$	11.9969	−	14.2973i	0.417171	−	0.497166i	0.933176	+	0.359420i	$0.117026\pi$
$828$	2.26020	−	5.37837i	0.0785474	−	0.186911i
$829$	−23.2005	−	13.3948i	−0.805786	−	0.465221i	0.0397045	−	0.999211i	$-0.487358\pi$
$829$	−23.2005	−	13.3948i	−0.805786	−	0.465221i	−0.845490	+	0.533991i	$0.820692\pi$
$830$	−23.1544	+	26.0456i	−0.803700	+	0.904056i
$831$	−28.8662	−	8.49415i	−1.00136	−	0.294659i
$832$	6.50269	−	36.8786i	0.225440	−	1.27854i
$833$	−8.91630	−	3.24527i	−0.308931	−	0.112442i
$834$	10.8569	+	44.8669i	0.375944	+	1.55361i
$835$	6.77099	−	3.65543i	0.234320	−	0.126501i
$836$	−0.232744	−	1.88751i	−0.00804962	−	0.0652808i
$837$	−13.6868	+	2.61312i	−0.473086	+	0.0903226i
$838$	18.4203	−	15.4565i	0.636319	−	0.533935i
$839$	18.5346	+	6.74605i	0.639886	+	0.232899i	0.641529	−	0.767099i	$-0.278301\pi$
$839$	18.5346	+	6.74605i	0.639886	+	0.232899i	−0.00164251	+	0.999999i	$0.500523\pi$
$840$	42.2670	+	5.96572i	1.45835	+	0.205837i
$841$	−4.61838	−	26.1921i	−0.159254	−	0.903176i
$842$	24.8612	−	9.04874i	0.856774	−	0.311840i
$843$	−30.3215	+	20.1479i	−1.04433	+	0.693929i
$844$	−1.68987	+	0.975649i	−0.0581678	+	0.0335832i
$845$	−8.01981	+	38.9422i	−0.275890	+	1.33965i
$846$	41.3410	+	2.01759i	1.42133	+	0.0693663i
$847$	−29.1897	+	16.8527i	−1.00297	+	0.579065i
$848$	26.5789	+	15.3454i	0.912724	+	0.526962i
$849$	3.57881	−	31.9208i	0.122824	−	1.09552i
$850$	−2.63876	+	6.13487i	−0.0905087	+	0.210424i
$851$	0.175510	−	0.995369i	0.00601642	−	0.0341208i
$852$	−0.287185	−	0.301542i	−0.00983878	−	0.0103307i
$853$	29.0249	+	34.5906i	0.993794	+	1.18436i	0.982848	+	0.184418i	$0.0590400\pi$
$853$	29.0249	+	34.5906i	0.993794	+	1.18436i	0.0109464	+	0.999940i	$0.496516\pi$
$854$	52.0549			1.78128
$855$	11.2363	+	26.9953i	0.384273	+	0.923219i
$856$	−29.3818			−1.00425
$857$	36.7660	+	43.8161i	1.25590	+	1.49673i	0.791584	+	0.611061i	$0.209257\pi$
$857$	36.7660	+	43.8161i	1.25590	+	1.49673i	0.464320	+	0.885667i	$0.346299\pi$
$858$	−17.1712	−	18.0297i	−0.586216	−	0.615523i
$859$	6.47346	−	36.7128i	0.220872	−	1.25262i	−0.649550	−	0.760318i	$-0.725043\pi$
$859$	6.47346	−	36.7128i	0.220872	−	1.25262i	0.870422	−	0.492306i	$-0.163846\pi$
$860$	1.72146	+	2.17481i	0.0587013	+	0.0741606i
$861$	−4.50219	+	40.1568i	−0.153434	+	1.36854i
$862$	−9.18121	−	5.30077i	−0.312713	−	0.180545i
$863$	−19.5176	+	11.2685i	−0.664388	+	0.383584i	−0.793947	−	0.607987i	$-0.791977\pi$
$863$	−19.5176	+	11.2685i	−0.664388	+	0.383584i	0.129559	+	0.991572i	$0.458644\pi$
$864$	6.44827	+	3.60249i	0.219374	+	0.122559i
$865$	−43.9882	−	9.05898i	−1.49564	−	0.308015i
$866$	−27.1932	+	15.7000i	−0.924061	+	0.533507i
$867$	23.3820	−	15.5367i	0.794093	−	0.527654i
$868$	2.67661	−	0.974208i	0.0908502	−	0.0330668i
$869$	−1.82990	−	10.3779i	−0.0620751	−	0.352045i
$870$	1.25960	−	8.92423i	0.0427045	−	0.302560i
$871$	27.0977	+	9.86277i	0.918172	+	0.334187i
$872$	−18.4912	+	15.5160i	−0.626191	+	0.525437i
$873$	3.27788	+	4.31751i	0.110939	+	0.146126i
$874$	48.1312	−	14.7423i	1.62806	−	0.498666i
$875$	−4.02218	+	46.8149i	−0.135974	+	1.58263i
$876$	1.40283	+	5.79730i	0.0473974	+	0.195873i
$877$	8.73624	+	3.17973i	0.295002	+	0.107372i	0.485281	−	0.874358i	$-0.338717\pi$
$877$	8.73624	+	3.17973i	0.295002	+	0.107372i	−0.190280	+	0.981730i	$0.560939\pi$
$878$	−1.71978	+	9.75333i	−0.0580396	+	0.329159i
$879$	−18.6716	−	5.49428i	−0.629776	−	0.185318i
$880$	−11.3912	+	12.8136i	−0.383998	+	0.431947i
$881$	0.745241	+	0.430265i	0.0251078	+	0.0144960i	0.512501	−	0.858686i	$-0.328719\pi$
$881$	0.745241	+	0.430265i	0.0251078	+	0.0144960i	−0.487394	+	0.873182i	$0.662052\pi$
$882$	−44.2610	−	18.6002i	−1.49035	−	0.626301i
$883$	8.13474	−	9.69460i	0.273756	−	0.326249i	−0.611597	−	0.791170i	$-0.709473\pi$
$883$	8.13474	−	9.69460i	0.273756	−	0.326249i	0.885353	+	0.464920i	$0.153917\pi$
$884$	−0.955902	−	0.802097i	−0.0321505	−	0.0269774i
$885$	−8.25857	+	5.15374i	−0.277609	+	0.173241i
$886$	−22.4474	−	12.9600i	−0.754134	−	0.435400i
$887$	13.1199	+	36.0467i	0.440523	+	1.21033i	0.939149	+	0.343511i	$0.111616\pi$
$887$	13.1199	+	36.0467i	0.440523	+	1.21033i	−0.498625	+	0.866818i	$0.666162\pi$
$888$	0.572410	+	0.168437i	0.0192088	+	0.00565238i
$889$	−3.11870	−	0.549911i	−0.104598	−	0.0184434i
$890$	7.30839	−	1.07441i	0.244978	−	0.0360141i
$891$	−14.1475	+	6.42114i	−0.473959	+	0.215116i
$892$	−0.792704			−0.0265417
$893$	24.1300	+	31.9873i	0.807479	+	1.07041i
$894$	−51.2894	−	25.4570i	−1.71538	−	0.851408i
$895$	16.1290	+	6.39795i	0.539135	+	0.213860i
$896$	51.2359	+	18.6483i	1.71167	+	0.622998i
$897$	43.8731	−	59.5145i	1.46488	−	1.98713i
$898$	12.5001	−	2.20410i	0.417133	−	0.0735517i
$899$	1.42200	+	3.90691i	0.0474264	+	0.130303i
$900$	−1.66595	+	3.40548i	−0.0555318	+	0.113516i
$901$	−5.32522	+	3.07452i	−0.177409	+	0.102427i
$902$	−11.0181	−	9.24526i	−0.366862	−	0.307833i
$903$	14.3044	+	32.7367i	0.476019	+	1.08941i
$904$	3.98646	+	6.90475i	0.132588	+	0.229649i
$905$	0.354697	−	12.4122i	0.0117905	−	0.412596i
$906$	42.0354	+	4.71281i	1.39653	+	0.156573i
$907$	1.66478	+	9.44144i	0.0552782	+	0.313498i	0.999892	−	0.0146855i	$-0.00467469\pi$
$907$	1.66478	+	9.44144i	0.0552782	+	0.313498i	−0.944614	+	0.328183i	$0.893564\pi$
$908$	0.671686	+	0.118436i	0.0222907	+	0.00393045i
$909$	−21.8029	+	6.75160i	−0.723155	+	0.223936i
$910$	−72.7404	−	28.8541i	−2.41132	−	0.956505i
$911$	0.791250			0.0262153			0.0131076	−	0.999914i	$-0.495828\pi$
$911$	0.791250			0.0262153			0.0131076	+	0.999914i	$0.495828\pi$
$912$	6.18721	+	32.9577i	0.204879	+	1.09134i
$913$		−	17.9254i		−	0.593243i
$914$	−6.41793	+	5.38528i	−0.212286	+	0.178129i
$915$	9.89458	−	30.3912i	0.327105	−	1.00470i
$916$	0.529106	−	3.00071i	0.0174822	−	0.0991463i
$917$	−13.3662	−	75.8034i	−0.441390	−	2.50325i
$918$	−5.96088	+	3.55466i	−0.196738	+	0.117321i
$919$	−1.31314	+	2.27443i	−0.0433165	+	0.0750265i	−0.886871	−	0.462017i	$-0.847126\pi$
$919$	−1.31314	+	2.27443i	−0.0433165	+	0.0750265i	0.843554	+	0.537044i	$0.180459\pi$
$920$	−38.4142	−	23.6667i	−1.26648	−	0.780267i
$921$	15.4503	+	35.3594i	0.509106	+	1.16513i
$922$	−10.6746	−	8.95704i	−0.351549	−	0.294984i
$923$	−2.63876	−	4.57047i	−0.0868559	−	0.150439i
$924$	2.64523	−	1.75769i	0.0870218	−	0.0578237i
$925$	−0.150805	+	0.639258i	−0.00495843	+	0.0210187i
$926$	−1.41973	−	8.05169i	−0.0466552	−	0.264595i
$927$	30.9743	−	15.9227i	1.01733	−	0.522970i
$928$	0.753793	−	2.07103i	0.0247445	−	0.0679849i
$929$	16.6491	+	19.8416i	0.546238	+	0.650982i	0.966574	−	0.256387i	$-0.0825322\pi$
$929$	16.6491	+	19.8416i	0.546238	+	0.650982i	−0.420336	+	0.907369i	$0.638088\pi$
$930$	−0.534809	−	15.5791i	−0.0175371	−	0.510857i
$931$	−13.6114	−	44.4389i	−0.446095	−	1.45643i
$932$	0.337945			0.0110697
$933$	−6.22544	−	25.7270i	−0.203812	−	0.842265i
$934$	1.66864	−	4.58454i	0.0545994	−	0.150011i
$935$	−1.08218	−	3.26015i	−0.0353910	−	0.106618i
$936$	32.0297	+	29.6536i	1.04692	+	0.969260i
$937$	11.5847	+	31.8286i	0.378455	+	1.03980i	0.971997	+	0.234993i	$0.0755069\pi$
$937$	11.5847	+	31.8286i	0.378455	+	1.03980i	−0.593542	+	0.804803i	$0.702271\pi$
$938$	−16.3930	+	28.3935i	−0.535250	+	0.927080i
$939$	19.3390	−	1.21772i	0.631104	−	0.0397387i
$940$	−1.04787	+	5.08820i	−0.0341777	+	0.165959i
$941$	−32.1364	−	26.9656i	−1.04762	−	0.879055i	−0.0547759	−	0.998499i	$-0.517444\pi$
$941$	−32.1364	−	26.9656i	−1.04762	−	0.879055i	−0.992841	+	0.119444i	$0.961889\pi$
$942$	−0.897380	−	14.2516i	−0.0292382	−	0.464342i
$943$	21.3561	−	36.9898i	0.695449	−	1.20455i
$944$	−10.4907	+	3.81830i	−0.341443	+	0.124275i
$945$	−31.9250	+	36.9490i	−1.03852	+	1.20195i
$946$	−12.5230	−	2.20815i	−0.407158	−	0.0717930i
$947$	53.5124	+	19.4769i	1.73892	+	0.632915i	0.999200	−	0.0399985i	$-0.0127353\pi$
$947$	53.5124	+	19.4769i	1.73892	+	0.632915i	0.739721	+	0.672914i	$0.234958\pi$
$948$	−0.628506	−	2.59734i	−0.0204129	−	0.0843577i
$949$			75.5936i			2.45387i
$950$	−31.7734	+	7.77831i	−1.03087	+	0.252362i
$951$	19.7044	−	39.6994i	0.638958	−	1.28734i
$952$	−7.51333	+	6.30443i	−0.243509	+	0.204328i
$953$	10.9229	−	30.0104i	0.353827	−	0.972131i	−0.627302	−	0.778776i	$-0.715841\pi$
$953$	10.9229	−	30.0104i	0.353827	−	0.972131i	0.981129	−	0.193355i	$-0.0619369\pi$
$954$	−27.6711	+	14.2246i	−0.895883	+	0.460540i
$955$	0.0167736	+	0.0211910i	0.000542781	+	0.000685725i
$956$	−0.800974	−	2.20066i	−0.0259053	−	0.0711744i
$957$	2.56561	+	3.86111i	0.0829343	+	0.124812i
$958$	21.3724	+	37.0180i	0.690510	+	1.19600i
$959$	−0.0577839	+	0.0688642i	−0.00186594	+	0.00222374i
$960$	16.1064	−	20.5901i	0.519831	−	0.664543i
$961$	−11.9045	−	20.6192i	−0.384016	−	0.665135i
$962$	−0.947315	−	0.546932i	−0.0305426	−	0.0176338i
$963$	18.2047	−	28.2546i	0.586637	−	0.910491i
$964$	−2.29536	+	0.404734i	−0.0739285	+	0.0130356i
$965$	−40.6670	+	13.4991i	−1.30912	+	0.434550i
$966$	57.9751	+	60.8735i	1.86532	+	1.95857i
$967$	−35.5388	−	42.3535i	−1.14285	−	1.36200i	−0.922233	−	0.386635i	$-0.873637\pi$
$967$	−35.5388	−	42.3535i	−1.14285	−	1.36200i	−0.220618	−	0.975360i	$-0.570807\pi$
$968$			21.0322i			0.676002i
$969$	−6.33838	−	2.22805i	−0.203618	−	0.0715754i
$970$	−5.33636	+	2.88093i	−0.171340	+	0.0925009i
$971$	27.6260	−	23.1809i	0.886559	−	0.743911i	−0.0809580	−	0.996718i	$-0.525798\pi$
$971$	27.6260	−	23.1809i	0.886559	−	0.743911i	0.967517	+	0.252806i	$0.0813535\pi$
$972$	−3.47821	+	1.85056i	−0.111564	+	0.0593568i
$973$	−73.4926	−	12.9587i	−2.35606	−	0.415438i
$974$	−29.2354	+	5.15499i	−0.936762	+	0.165177i
$975$	−30.6724	+	36.9835i	−0.982303	+	1.18442i
$976$	18.3269	−	31.7432i	0.586631	−	1.01607i
$977$	53.4417	−	30.8546i	1.70975	−	0.987126i	0.774905	−	0.632077i	$-0.217797\pi$
$977$	53.4417	−	30.8546i	1.70975	−	0.987126i	0.934848	−	0.355049i	$-0.115536\pi$
$978$	9.20934	+	21.0764i	0.294482	+	0.673948i
$979$	−2.44232	+	2.91064i	−0.0780568	+	0.0930244i
$980$	3.16079	−	5.13039i	0.100968	−	0.163884i
$981$	−3.46373	−	27.3953i	−0.110588	−	0.874664i
$982$	−22.6307	+	8.23688i	−0.722173	+	0.262850i
$983$	15.3914	−	2.71391i	0.490908	−	0.0865604i	0.0772860	−	0.997009i	$-0.475375\pi$
$983$	15.3914	−	2.71391i	0.490908	−	0.0865604i	0.413622	+	0.910449i	$0.364263\pi$
$984$	20.2962	+	14.9620i	0.647018	+	0.476971i
$985$	4.14317	+	28.1829i	0.132012	+	0.897983i
$986$	1.33112	+	1.58636i	0.0423914	+	0.0505201i
$987$	−29.7485	+	59.9358i	−0.946905	+	1.90778i
$988$	0.316742	−	6.10397i	0.0100769	−	0.194193i
$989$		−	37.7622i		−	1.20077i
$990$	−4.66504	−	16.7432i	−0.148265	−	0.532132i
$991$	3.87234	−	10.6392i	0.123009	−	0.337964i	−0.862870	−	0.505427i	$-0.831335\pi$
$991$	3.87234	−	10.6392i	0.123009	−	0.337964i	0.985878	+	0.167463i	$0.0535573\pi$
$992$	0.661932	−	3.75400i	0.0210164	−	0.119190i
$993$	−56.1760	−	16.5303i	−1.78269	−	0.524574i
$994$	5.63841	−	2.05221i	0.178839	−	0.0650922i
$995$	32.7562	+	0.936057i	1.03844	+	0.0296750i
$996$	−0.285660	−	4.53667i	−0.00905150	−	0.143750i
$997$	3.27879	−	3.90750i	0.103840	−	0.123752i	−0.711621	−	0.702563i	$-0.752039\pi$
$997$	3.27879	−	3.90750i	0.103840	−	0.123752i	0.815461	+	0.578811i	$0.196483\pi$
$998$	−29.2707	+	34.8835i	−0.926549	+	1.10422i
$999$	−0.516634	+	0.446087i	−0.0163456	+	0.0141136i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	285.2.bf.c.89.25	yes	192
3.2	odd	2	inner	285.2.bf.c.89.7	✓	192
5.4	even	2	inner	285.2.bf.c.89.8	yes	192
15.14	odd	2	inner	285.2.bf.c.89.26	yes	192
19.3	odd	18	inner	285.2.bf.c.269.26	yes	192
57.41	even	18	inner	285.2.bf.c.269.8	yes	192
95.79	odd	18	inner	285.2.bf.c.269.7	yes	192
285.269	even	18	inner	285.2.bf.c.269.25	yes	192

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
285.2.bf.c.89.7	✓	192	3.2	odd	2	inner
285.2.bf.c.89.8	yes	192	5.4	even	2	inner
285.2.bf.c.89.25	yes	192	1.1	even	1	trivial
285.2.bf.c.89.26	yes	192	15.14	odd	2	inner
285.2.bf.c.269.7	yes	192	95.79	odd	18	inner
285.2.bf.c.269.8	yes	192	57.41	even	18	inner
285.2.bf.c.269.25	yes	192	285.269	even	18	inner
285.2.bf.c.269.26	yes	192	19.3	odd	18	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:	\( N \)	\(=\)	\( 285 = 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	285.bf (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.964769 + 1.14977i) q^{2} +(-1.19452 - 1.25424i) q^{3} +(-0.0438883 + 0.248903i) q^{4} +(-1.75329 + 1.38780i) q^{5} +(0.289647 - 2.58347i) q^{6} +(3.63963 + 2.10134i) q^{7} +(2.27114 - 1.31124i) q^{8} +(-0.146237 + 2.99643i) q^{9} +O(q^{10})\)	\(q+(0.964769 + 1.14977i) q^{2} +(-1.19452 - 1.25424i) q^{3} +(-0.0438883 + 0.248903i) q^{4} +(-1.75329 + 1.38780i) q^{5} +(0.289647 - 2.58347i) q^{6} +(3.63963 + 2.10134i) q^{7} +(2.27114 - 1.31124i) q^{8} +(-0.146237 + 2.99643i) q^{9} +(-3.28716 - 0.676962i) q^{10} +(1.49500 - 0.863138i) q^{11} +(0.364609 - 0.242273i) q^{12} +(5.21347 - 1.89755i) q^{13} +(1.09535 + 6.21203i) q^{14} +(3.83497 + 0.541283i) q^{15} +(4.17374 + 1.51912i) q^{16} +(-0.681701 + 0.572015i) q^{17} +(-3.58628 + 2.72273i) q^{18} +(-4.24769 - 0.978350i) q^{19} +(-0.268479 - 0.497306i) q^{20} +(-1.71203 - 7.07506i) q^{21} +(2.43474 + 0.886172i) q^{22} +(-1.33609 + 7.57735i) q^{23} +(-4.35753 - 1.28225i) q^{24} +(1.14802 - 4.86642i) q^{25} +(7.21153 + 4.16358i) q^{26} +(3.93293 - 3.39589i) q^{27} +(-0.682766 + 0.813689i) q^{28} +(-1.18770 - 0.996598i) q^{29} +(3.07751 + 4.93154i) q^{30} +(-2.32234 - 1.34080i) q^{31} +(0.486183 + 1.33578i) q^{32} +(-2.86839 - 0.844051i) q^{33} +(-1.31537 - 0.231935i) q^{34} +(-9.29754 + 1.36683i) q^{35} +(-0.739403 - 0.167907i) q^{36} -0.131361 q^{37} +(-2.97316 - 5.82773i) q^{38} +(-8.60758 - 4.27228i) q^{39} +(-2.16221 + 5.45087i) q^{40} +(-5.21640 - 1.89862i) q^{41} +(6.48296 - 8.79423i) q^{42} +(-4.83329 + 0.852239i) q^{43} +(0.149225 + 0.409991i) q^{44} +(-3.90206 - 5.45655i) q^{45} +(-10.0012 + 5.77420i) q^{46} +(-7.04165 - 5.90864i) q^{47} +(-3.08029 - 7.04950i) q^{48} +(5.33125 + 9.23399i) q^{49} +(6.70282 - 3.37502i) q^{50} +(1.53175 + 0.171733i) q^{51} +(0.243495 + 1.38093i) q^{52} +(6.80485 + 1.19988i) q^{53} +(7.69885 + 1.24571i) q^{54} +(-1.42330 + 3.58809i) q^{55} +11.0214 q^{56} +(3.84686 + 6.49628i) q^{57} -2.32706i q^{58} +(-1.92545 + 1.61564i) q^{59} +(-0.303037 + 0.930779i) q^{60} +(1.43301 - 8.12701i) q^{61} +(-0.698910 - 3.96372i) q^{62} +(-6.82877 + 10.5986i) q^{63} +(3.37483 - 5.84538i) q^{64} +(-6.50728 + 10.5622i) q^{65} +(-1.79687 - 4.11229i) q^{66} +(3.98162 + 3.34098i) q^{67} +(-0.112457 - 0.194782i) q^{68} +(11.0998 - 7.37553i) q^{69} +(-10.5415 - 9.37133i) q^{70} +(-0.165181 - 0.936786i) q^{71} +(3.59692 + 6.99706i) q^{72} +(-4.66010 + 12.8035i) q^{73} +(-0.126733 - 0.151035i) q^{74} +(-7.47499 + 4.37315i) q^{75} +(0.429938 - 1.01432i) q^{76} +7.25498 q^{77} +(-3.39220 - 14.0185i) q^{78} +(2.08784 - 5.73631i) q^{79} +(-9.42600 + 3.12888i) q^{80} +(-8.95723 - 0.876380i) q^{81} +(-2.84966 - 7.82937i) q^{82} +(5.19192 - 8.99266i) q^{83} +(1.83614 - 0.115616i) q^{84} +(0.401373 - 1.94897i) q^{85} +(-5.64288 - 4.73494i) q^{86} +(0.168759 + 2.68012i) q^{87} +(2.26357 - 3.92061i) q^{88} +(-2.06828 + 0.752793i) q^{89} +(2.50918 - 9.75077i) q^{90} +(22.9625 + 4.04890i) q^{91} +(-1.82739 - 0.665114i) q^{92} +(1.09240 + 4.51439i) q^{93} -13.7967i q^{94} +(8.80516 - 4.17961i) q^{95} +(1.09463 - 2.20540i) q^{96} +(1.38420 - 1.16148i) q^{97} +(-5.47351 + 15.0384i) q^{98} +(2.36771 + 4.60589i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 192 q - 12 q^{4} - 30 q^{6} - 12 q^{9}+O(q^{10}) \) 192 * q - 12 * q^4 - 30 * q^6 - 12 * q^9	\( 192 q - 12 q^{4} - 30 q^{6} - 12 q^{9} + 18 q^{10} + 15 q^{15} - 36 q^{16} - 48 q^{19} - 30 q^{21} - 156 q^{24} - 12 q^{25} - 24 q^{30} - 36 q^{31} + 24 q^{34} - 6 q^{36} - 6 q^{40} - 30 q^{45} + 36 q^{46} + 60 q^{49} + 24 q^{51} - 6 q^{54} - 90 q^{55} + 90 q^{60} + 12 q^{61} - 60 q^{64} + 108 q^{66} + 90 q^{69} - 18 q^{70} - 132 q^{76} - 120 q^{79} + 36 q^{81} + 198 q^{84} - 66 q^{85} - 114 q^{90} - 72 q^{91} + 144 q^{96} + 78 q^{99}+O(q^{100}) \) 192 * q - 12 * q^4 - 30 * q^6 - 12 * q^9 + 18 * q^10 + 15 * q^15 - 36 * q^16 - 48 * q^19 - 30 * q^21 - 156 * q^24 - 12 * q^25 - 24 * q^30 - 36 * q^31 + 24 * q^34 - 6 * q^36 - 6 * q^40 - 30 * q^45 + 36 * q^46 + 60 * q^49 + 24 * q^51 - 6 * q^54 - 90 * q^55 + 90 * q^60 + 12 * q^61 - 60 * q^64 + 108 * q^66 + 90 * q^69 - 18 * q^70 - 132 * q^76 - 120 * q^79 + 36 * q^81 + 198 * q^84 - 66 * q^85 - 114 * q^90 - 72 * q^91 + 144 * q^96 + 78 * q^99

Introduction

L-functions

Modular forms

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Database

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