LMFDB - Embedded newform 532.2.bs.a.67.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [532,2,Mod(67,532)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(532, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 12, 17]))

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

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

chi := DirichletCharacter("532.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 532 = 2^{2} \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	532.bs (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:	$4.24804138753$
Analytic rank:	$0$
Dimension:	$456$
Relative dimension:	$76$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			67.12
Character	$\chi$	$=$	532.67
Dual form			532.2.bs.a.135.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.22946 - 0.698873i) q^{2} +(0.566955 + 3.21536i) q^{3} +(1.02315 + 1.71847i) q^{4} +(0.00998364 + 0.0566200i) q^{5} +(1.55008 - 4.34940i) q^{6} +(0.827948 + 2.51287i) q^{7} +(-0.0569346 - 2.82785i) q^{8} +(-7.19804 + 2.61987i) q^{9} +O(q^{10})$	\(q+(-1.22946 - 0.698873i) q^{2} +(0.566955 + 3.21536i) q^{3} +(1.02315 + 1.71847i) q^{4} +(0.00998364 + 0.0566200i) q^{5} +(1.55008 - 4.34940i) q^{6} +(0.827948 + 2.51287i) q^{7} +(-0.0569346 - 2.82785i) q^{8} +(-7.19804 + 2.61987i) q^{9} +(0.0272957 - 0.0765895i) q^{10} +1.47669i q^{11} +(-4.94544 + 4.26411i) q^{12} +(-1.61722 + 1.92733i) q^{13} +(0.738243 - 3.66811i) q^{14} +(-0.176394 + 0.0642021i) q^{15} +(-1.90631 + 3.51653i) q^{16} +(-0.218045 - 0.0793620i) q^{17} +(10.6807 + 1.80948i) q^{18} +(2.90515 - 3.24963i) q^{19} +(-0.0870853 + 0.0750877i) q^{20} +(-7.61037 + 4.08684i) q^{21} +(1.03202 - 1.81553i) q^{22} +(0.255479 - 0.304468i) q^{23} +(9.06030 - 1.78633i) q^{24} +(4.69536 - 1.70897i) q^{25} +(3.33527 - 1.23935i) q^{26} +(-7.60736 - 13.1763i) q^{27} +(-3.47118 + 3.99386i) q^{28} +(-1.85306 - 0.326744i) q^{29} +(0.261738 + 0.0443427i) q^{30} +(2.18179 + 3.77898i) q^{31} +(4.80134 - 2.99117i) q^{32} +(-4.74808 + 0.837215i) q^{33} +(0.212615 + 0.249959i) q^{34} +(-0.134013 + 0.0719660i) q^{35} +(-11.8669 - 9.68912i) q^{36} +(1.17155 - 0.676393i) q^{37} +(-5.84285 + 1.96497i) q^{38} +(-7.11395 - 4.10724i) q^{39} +(0.159545 - 0.0314559i) q^{40} +(-4.85206 - 5.78246i) q^{41} +(12.2128 + 0.294066i) q^{42} +(-3.91154 + 10.7469i) q^{43} +(-2.53765 + 1.51088i) q^{44} +(-0.220200 - 0.381398i) q^{45} +(-0.526887 + 0.195785i) q^{46} +(-3.25989 - 8.95648i) q^{47} +(-12.3877 - 4.13577i) q^{48} +(-5.62900 + 4.16105i) q^{49} +(-6.96712 - 1.18034i) q^{50} +(0.131556 - 0.746090i) q^{51} +(-4.96673 - 0.807199i) q^{52} +(5.40187 + 0.952496i) q^{53} +(0.144383 + 21.5164i) q^{54} +(-0.0836100 + 0.0147427i) q^{55} +(7.05888 - 2.48439i) q^{56} +(12.0958 + 7.49872i) q^{57} +(2.04991 + 1.69677i) q^{58} +(-1.45783 - 0.530605i) q^{59} +(-0.290808 - 0.237439i) q^{60} +(-4.14815 - 3.48071i) q^{61} +(-0.0414090 - 6.17091i) q^{62} +(-12.5430 - 15.9186i) q^{63} +(-7.99352 + 0.322005i) q^{64} +(-0.125271 - 0.0723253i) q^{65} +(6.42269 + 2.28898i) q^{66} +(6.43320 + 5.39810i) q^{67} +(-0.0867124 - 0.455905i) q^{68} +(1.12382 + 0.648839i) q^{69} +(0.215059 + 0.00517828i) q^{70} +(9.36011 + 3.40680i) q^{71} +(7.81844 + 20.2059i) q^{72} +(2.10946 + 11.9633i) q^{73} +(-1.91309 + 0.0128375i) q^{74} +(8.15702 + 14.1284i) q^{75} +(8.55682 + 1.66756i) q^{76} +(-3.71072 + 1.22262i) q^{77} +(5.87590 + 10.0214i) q^{78} +(-10.3566 - 3.76948i) q^{79} +(-0.218138 - 0.0728276i) q^{80} +(20.4500 - 17.1596i) q^{81} +(1.92422 + 10.5003i) q^{82} +(14.8858 + 8.59430i) q^{83} +(-14.8097 - 8.89676i) q^{84} +(0.00231659 - 0.0131381i) q^{85} +(12.3198 - 10.4792i) q^{86} -6.14349i q^{87} +(4.17585 - 0.0840745i) q^{88} +(-3.65791 - 0.644988i) q^{89} +(0.00417925 + 0.622806i) q^{90} +(-6.18210 - 2.46813i) q^{91} +(0.784616 + 0.127517i) q^{92} +(-10.9138 + 9.15777i) q^{93} +(-2.25152 + 13.2899i) q^{94} +(0.212998 + 0.132047i) q^{95} +(12.3398 + 13.7422i) q^{96} +(-5.18737 + 0.914674i) q^{97} +(9.82869 - 1.18190i) q^{98} +(-3.86873 - 10.6293i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 456 q - 3 q^{2} - 3 q^{4} - 6 q^{5} - 12 q^{6} - 18 q^{8} - 6 q^{9}+O(q^{10}) $ 456 * q - 3 * q^2 - 3 * q^4 - 6 * q^5 - 12 * q^6 - 18 * q^8 - 6 * q^9	$ 456 q - 3 q^{2} - 3 q^{4} - 6 q^{5} - 12 q^{6} - 18 q^{8} - 6 q^{9} + 15 q^{10} - 36 q^{13} + 15 q^{14} - 3 q^{16} - 6 q^{17} - 24 q^{20} - 18 q^{21} - 6 q^{22} - 12 q^{24} - 6 q^{25} - 6 q^{26} - 27 q^{28} - 24 q^{29} + 3 q^{30} + 12 q^{32} + 66 q^{33} - 12 q^{34} - 81 q^{36} - 72 q^{38} - 33 q^{40} - 36 q^{41} - 87 q^{42} + 12 q^{44} + 6 q^{45} - 45 q^{48} - 6 q^{49} - 45 q^{50} - 3 q^{52} + 6 q^{53} - 39 q^{54} - 24 q^{57} - 42 q^{58} + 66 q^{60} - 18 q^{61} + 3 q^{62} - 6 q^{64} + 18 q^{65} + 75 q^{66} - 39 q^{68} - 36 q^{69} + 9 q^{70} - 54 q^{72} + 30 q^{73} - 57 q^{74} - 84 q^{76} - 18 q^{77} - 9 q^{78} - 3 q^{80} - 24 q^{81} + 117 q^{82} - 9 q^{84} - 78 q^{86} - 9 q^{88} - 30 q^{89} - 48 q^{90} + 30 q^{92} + 42 q^{93} - 57 q^{96} - 24 q^{97} + 60 q^{98}+O(q^{100}) $ 456 * q - 3 * q^2 - 3 * q^4 - 6 * q^5 - 12 * q^6 - 18 * q^8 - 6 * q^9 + 15 * q^10 - 36 * q^13 + 15 * q^14 - 3 * q^16 - 6 * q^17 - 24 * q^20 - 18 * q^21 - 6 * q^22 - 12 * q^24 - 6 * q^25 - 6 * q^26 - 27 * q^28 - 24 * q^29 + 3 * q^30 + 12 * q^32 + 66 * q^33 - 12 * q^34 - 81 * q^36 - 72 * q^38 - 33 * q^40 - 36 * q^41 - 87 * q^42 + 12 * q^44 + 6 * q^45 - 45 * q^48 - 6 * q^49 - 45 * q^50 - 3 * q^52 + 6 * q^53 - 39 * q^54 - 24 * q^57 - 42 * q^58 + 66 * q^60 - 18 * q^61 + 3 * q^62 - 6 * q^64 + 18 * q^65 + 75 * q^66 - 39 * q^68 - 36 * q^69 + 9 * q^70 - 54 * q^72 + 30 * q^73 - 57 * q^74 - 84 * q^76 - 18 * q^77 - 9 * q^78 - 3 * q^80 - 24 * q^81 + 117 * q^82 - 9 * q^84 - 78 * q^86 - 9 * q^88 - 30 * q^89 - 48 * q^90 + 30 * q^92 + 42 * q^93 - 57 * q^96 - 24 * q^97 + 60 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/532\mathbb{Z}\right)^\times$.

$n$	$267$	$381$	$477$
$\chi(n)$	$-1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{17}{18}\right)$

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 $

$2$	−1.22946	−	0.698873i	−0.869361	−	0.494178i
$2$	−1.22946	−	0.698873i	−0.869361	−	0.494178i
$3$	0.566955	+	3.21536i	0.327332	+	1.85639i	0.492755	+	0.870168i	$0.335990\pi$
$3$	0.566955	+	3.21536i	0.327332	+	1.85639i	−0.165424	+	0.986223i	$0.552899\pi$
$4$	1.02315	+	1.71847i	0.511577	+	0.859237i
$5$	0.00998364	+	0.0566200i	0.00446482	+	0.0253213i	0.986959	−	0.160973i	$-0.0514633\pi$
$5$	0.00998364	+	0.0566200i	0.00446482	+	0.0253213i	−0.982494	+	0.186294i	$0.940352\pi$
$6$	1.55008	−	4.34940i	0.632817	−	1.77563i
$7$	0.827948	+	2.51287i	0.312935	+	0.949775i
$7$	0.827948	+	2.51287i	0.312935	+	0.949775i
$8$	−0.0569346	−	2.82785i	−0.0201294	−	0.999797i
$9$	−7.19804	+	2.61987i	−2.39935	+	0.873291i
$10$	0.0272957	−	0.0765895i	0.00863165	−	0.0242197i
$11$			1.47669i			0.445238i	0.974906	+	0.222619i	$0.0714605\pi$
$11$			1.47669i			0.445238i	−0.974906	+	0.222619i	$0.928539\pi$
$12$	−4.94544	+	4.26411i	−1.42762	+	1.23094i
$13$	−1.61722	+	1.92733i	−0.448536	+	0.534545i	−0.942175	−	0.335123i	$-0.891222\pi$
$13$	−1.61722	+	1.92733i	−0.448536	+	0.534545i	0.493638	+	0.869667i	$0.335667\pi$
$14$	0.738243	−	3.66811i	0.197304	−	0.980342i
$15$	−0.176394	+	0.0642021i	−0.0455447	+	0.0165769i
$16$	−1.90631	+	3.51653i	−0.476578	+	0.879132i
$17$	−0.218045	−	0.0793620i	−0.0528838	−	0.0192481i	0.315443	−	0.948945i	$-0.397847\pi$
$17$	−0.218045	−	0.0793620i	−0.0528838	−	0.0192481i	−0.368327	+	0.929696i	$0.620069\pi$
$18$	10.6807	+	1.80948i	2.51746	+	0.426498i
$19$	2.90515	−	3.24963i	0.666488	−	0.745516i
$19$	2.90515	−	3.24963i	0.666488	−	0.745516i
$20$	−0.0870853	+	0.0750877i	−0.0194729	+	0.0167901i
$21$	−7.61037	+	4.08684i	−1.66072	+	0.891821i
$22$	1.03202	−	1.81553i	0.220026	−	0.387072i
$23$	0.255479	−	0.304468i	0.0532711	−	0.0634860i	−0.738751	−	0.673979i	$-0.764584\pi$
$23$	0.255479	−	0.304468i	0.0532711	−	0.0634860i	0.792022	+	0.610493i	$0.209028\pi$
$24$	9.06030	−	1.78633i	1.84943	−	0.364633i
$25$	4.69536	−	1.70897i	0.939071	−	0.341794i
$26$	3.33527	−	1.23935i	0.654100	−	0.243056i
$27$	−7.60736	−	13.1763i	−1.46404	−	2.53579i
$28$	−3.47118	+	3.99386i	−0.655991	+	0.754768i
$29$	−1.85306	−	0.326744i	−0.344104	−	0.0606748i	−0.00107428	−	0.999999i	$-0.500342\pi$
$29$	−1.85306	−	0.326744i	−0.344104	−	0.0606748i	−0.343029	+	0.939325i	$0.611453\pi$
$30$	0.261738	+	0.0443427i	0.0477867	+	0.00809584i
$31$	2.18179	+	3.77898i	0.391862	+	0.678725i	0.992695	−	0.120650i	$-0.0384978\pi$
$31$	2.18179	+	3.77898i	0.391862	+	0.678725i	−0.600833	+	0.799374i	$0.705164\pi$
$32$	4.80134	−	2.99117i	0.848766	−	0.528769i
$33$	−4.74808	+	0.837215i	−0.826535	+	0.145740i
$34$	0.212615	+	0.249959i	0.0364631	+	0.0428675i
$35$	−0.134013	+	0.0719660i	−0.0226523	+	0.0121645i
$36$	−11.8669	−	9.68912i	−1.97782	−	1.61485i
$37$	1.17155	−	0.676393i	0.192601	−	0.111198i	−0.400599	−	0.916254i	$-0.631198\pi$
$37$	1.17155	−	0.676393i	0.192601	−	0.111198i	0.593200	+	0.805055i	$0.297864\pi$
$38$	−5.84285	+	1.96497i	−0.947836	+	0.318759i
$39$	−7.11395	−	4.10724i	−1.13914	−	0.657685i
$40$	0.159545	−	0.0314559i	0.0252262	−	0.00497362i
$41$	−4.85206	−	5.78246i	−0.757765	−	0.903069i	0.239940	−	0.970788i	$-0.422872\pi$
$41$	−4.85206	−	5.78246i	−0.757765	−	0.903069i	−0.997704	+	0.0677188i	$0.978428\pi$
$42$	12.2128	+	0.294066i	1.88448	+	0.0453754i
$43$	−3.91154	+	10.7469i	−0.596504	+	1.63888i	0.161683	+	0.986843i	$0.448308\pi$
$43$	−3.91154	+	10.7469i	−0.596504	+	1.63888i	−0.758187	+	0.652038i	$0.773914\pi$
$44$	−2.53765	+	1.51088i	−0.382565	+	0.227773i
$45$	−0.220200	−	0.381398i	−0.0328255	−	0.0568554i
$46$	−0.526887	+	0.195785i	−0.0776852	+	0.0288669i
$47$	−3.25989	−	8.95648i	−0.475504	−	1.30644i	−0.913272	−	0.407349i	$-0.866453\pi$
$47$	−3.25989	−	8.95648i	−0.475504	−	1.30644i	0.437768	−	0.899088i	$-0.355769\pi$
$48$	−12.3877	−	4.13577i	−1.78801	−	0.596946i
$49$	−5.62900	+	4.16105i	−0.804143	+	0.594436i
$50$	−6.96712	−	1.18034i	−0.985299	−	0.166926i
$51$	0.131556	−	0.746090i	0.0184215	−	0.104473i
$52$	−4.96673	−	0.807199i	−0.688762	−	0.111938i
$53$	5.40187	+	0.952496i	0.742005	+	0.130835i	0.531857	−	0.846834i	$-0.321494\pi$
$53$	5.40187	+	0.952496i	0.742005	+	0.130835i	0.210148	+	0.977670i	$0.432606\pi$
$54$	0.144383	+	21.5164i	0.0196480	+	2.92801i
$55$	−0.0836100	+	0.0147427i	−0.0112740	+	0.00198791i
$56$	7.05888	−	2.48439i	0.943283	−	0.331990i
$57$	12.0958	+	7.49872i	1.60213	+	0.993230i
$58$	2.04991	+	1.69677i	0.269166	+	0.222797i
$59$	−1.45783	−	0.530605i	−0.189793	−	0.0690789i	0.245375	−	0.969428i	$-0.421089\pi$
$59$	−1.45783	−	0.530605i	−0.189793	−	0.0690789i	−0.435168	+	0.900349i	$0.643311\pi$
$60$	−0.290808	−	0.237439i	−0.0375431	−	0.0306533i
$61$	−4.14815	−	3.48071i	−0.531116	−	0.445660i	0.337370	−	0.941372i	$-0.390463\pi$
$61$	−4.14815	−	3.48071i	−0.531116	−	0.445660i	−0.868487	+	0.495712i	$0.834907\pi$
$62$	−0.0414090	−	6.17091i	−0.00525895	−	0.783706i
$63$	−12.5430	−	15.9186i	−1.58027	−	2.00556i
$64$	−7.99352	+	0.322005i	−0.999190	+	0.0402507i
$65$	−0.125271	−	0.0723253i	−0.0155380	−	0.00897086i
$66$	6.42269	+	2.28898i	0.790579	+	0.281754i
$67$	6.43320	+	5.39810i	0.785941	+	0.659483i	0.944737	−	0.327829i	$-0.106317\pi$
$67$	6.43320	+	5.39810i	0.785941	+	0.659483i	−0.158796	+	0.987311i	$0.550761\pi$
$68$	−0.0867124	−	0.455905i	−0.0105154	−	0.0552866i
$69$	1.12382	+	0.648839i	0.135292	+	0.0781110i
$70$	0.215059	+	0.00517828i	0.0257044	+	0.000618923i
$71$	9.36011	+	3.40680i	1.11084	+	0.404313i	0.831302	−	0.555821i	$-0.187596\pi$
$71$	9.36011	+	3.40680i	1.11084	+	0.404313i	0.279539	+	0.960134i	$0.409818\pi$
$72$	7.81844	+	20.2059i	0.921411	+	2.38128i
$73$	2.10946	+	11.9633i	0.246894	+	1.40020i	0.816053	+	0.577976i	$0.196157\pi$
$73$	2.10946	+	11.9633i	0.246894	+	1.40020i	−0.569160	+	0.822227i	$0.692731\pi$
$74$	−1.91309	+	0.0128375i	−0.222392	+	0.00149233i
$75$	8.15702	+	14.1284i	0.941891	+	1.63140i
$76$	8.55682	+	1.66756i	0.981535	+	0.191282i
$77$	−3.71072	+	1.22262i	−0.422875	+	0.139331i
$78$	5.87590	+	10.0214i	0.665314	+	1.13471i
$79$	−10.3566	−	3.76948i	−1.16520	−	0.424099i	−0.314250	−	0.949340i	$-0.601753\pi$
$79$	−10.3566	−	3.76948i	−1.16520	−	0.424099i	−0.850953	+	0.525241i	$0.823975\pi$
$80$	−0.218138	−	0.0728276i	−0.0243886	−	0.00814238i
$81$	20.4500	−	17.1596i	2.27222	−	1.90662i
$82$	1.92422	+	10.5003i	0.212495	+	1.15956i
$83$	14.8858	+	8.59430i	1.63393	+	0.943347i	0.982866	+	0.184320i	$0.0590083\pi$
$83$	14.8858	+	8.59430i	1.63393	+	0.943347i	0.651059	+	0.759027i	$0.274325\pi$
$84$	−14.8097	−	8.89676i	−1.61587	−	0.970716i
$85$	0.00231659	−	0.0131381i	0.000251270	−	0.00142502i
$86$	12.3198	−	10.4792i	1.32847	−	1.13000i
$87$		−	6.14349i		−	0.658652i
$88$	4.17585	−	0.0840745i	0.445148	−	0.00896237i
$89$	−3.65791	−	0.644988i	−0.387737	−	0.0683685i	−0.0236184	−	0.999721i	$-0.507519\pi$
$89$	−3.65791	−	0.644988i	−0.387737	−	0.0683685i	−0.364119	+	0.931353i	$0.618630\pi$
$90$	0.00417925	+	0.622806i	0.000440531	+	0.0656495i
$91$	−6.18210	−	2.46813i	−0.648060	−	0.258731i
$92$	0.784616	+	0.127517i	0.0818018	+	0.0132945i
$93$	−10.9138	+	9.15777i	−1.13171	+	0.949617i
$94$	−2.25152	+	13.2899i	−0.232227	+	1.37075i
$95$	0.212998	+	0.132047i	0.0218531	+	0.0135477i
$96$	12.3398	+	13.7422i	1.25943	+	1.40256i
$97$	−5.18737	+	0.914674i	−0.526698	+	0.0928710i	−0.430673	−	0.902508i	$-0.641724\pi$
$97$	−5.18737	+	0.914674i	−0.526698	+	0.0928710i	−0.0960246	+	0.995379i	$0.530613\pi$
$98$	9.82869	−	1.18190i	0.992847	−	0.119390i
$99$	−3.86873	−	10.6293i	−0.388822	−	1.06828i
$100$	7.74090	+	6.32031i	0.774090	+	0.632031i
$101$	−15.8580	+	5.77184i	−1.57793	+	0.574319i	−0.974752	−	0.223289i	$-0.928321\pi$
$101$	−15.8580	+	5.77184i	−1.57793	+	0.574319i	−0.603176	+	0.797608i	$0.706099\pi$
$102$	−0.683164	+	0.825348i	−0.0676434	+	0.0817217i
$103$	5.56223	−	9.63406i	0.548063	−	0.949272i	−0.450345	−	0.892855i	$-0.648699\pi$
$103$	5.56223	−	9.63406i	0.548063	−	0.949272i	0.998407	−	0.0564174i	$-0.0179678\pi$
$104$	5.54228	+	4.46353i	0.543465	+	0.437685i
$105$	−0.307376	−	0.390098i	−0.0299968	−	0.0380697i
$106$	−5.97573	−	4.94628i	−0.580414	−	0.480425i
$107$	14.8467			1.43528			0.717642	−	0.696412i	$-0.245221\pi$
$107$	14.8467			1.43528			0.717642	+	0.696412i	$0.245221\pi$
$108$	14.8597	−	26.5545i	1.42988	−	2.55521i
$109$	−4.69437	−	5.59453i	−0.449639	−	0.535859i	0.492842	−	0.870119i	$-0.335958\pi$
$109$	−4.69437	−	5.59453i	−0.449639	−	0.535859i	−0.942481	+	0.334260i	$0.891514\pi$
$110$	0.113099	+	0.0403072i	0.0107835	+	0.00384314i
$111$	2.83906	+	3.38346i	0.269472	+	0.321144i
$112$	−10.4149	−	1.87880i	−0.984115	−	0.177530i
$113$		−	4.65090i		−	0.437520i	−0.975779	−	0.218760i	$-0.929799\pi$
$113$		−	4.65090i		−	0.437520i	0.975779	−	0.218760i	$-0.0702011\pi$
$114$	−9.63071	−	17.6728i	−0.901999	−	1.65521i
$115$	0.0197896	+	0.0114255i	0.00184539	+	0.00106544i
$116$	−1.33446	−	3.51874i	−0.123902	−	0.326707i
$117$	6.59147	−	18.1099i	0.609381	−	1.67426i
$118$	1.42152	+	1.67119i	0.130861	+	0.153846i
$119$	0.0188959	−	0.613627i	0.00173218	−	0.0562511i
$120$	0.191597	+	0.495160i	0.0174903	+	0.0452017i
$121$	8.81940			0.801763
$122$	2.66742	+	7.17843i	0.241497	+	0.649905i
$123$	15.8418	−	18.8795i	1.42841	−	1.70231i
$124$	−4.26177	+	7.61584i	−0.382718	+	0.683923i
$125$	0.287372	+	0.497744i	0.0257034	+	0.0445195i
$126$	4.29607	+	28.3373i	0.382724	+	2.52449i
$127$	0.308504	+	0.258865i	0.0273753	+	0.0229706i	0.656373	−	0.754437i	$-0.272090\pi$
$127$	0.308504	+	0.258865i	0.0273753	+	0.0229706i	−0.628997	+	0.777407i	$0.716534\pi$
$128$	10.0528	+	5.19056i	0.888547	+	0.458785i
$129$	−36.7727	−	6.48402i	−3.23766	−	0.570886i
$130$	0.103470	+	0.176470i	0.00907492	+	0.0154774i
$131$	8.95953	+	10.6775i	0.782798	+	0.932902i	0.999056	−	0.0434342i	$-0.0138299\pi$
$131$	8.95953	+	10.6775i	0.782798	+	0.932902i	−0.216259	+	0.976336i	$0.569385\pi$
$132$	−6.29675	−	7.30286i	−0.548062	−	0.635632i
$133$	10.5712	+	4.60974i	0.916640	+	0.399715i
$134$	−4.13680	−	11.1327i	−0.357365	−	0.961723i
$135$	0.670096	−	0.562277i	0.0576726	−	0.0483931i
$136$	−0.212010	+	0.621119i	−0.0181797	+	0.0532605i
$137$	−1.78127	+	10.1021i	−0.152184	+	0.863077i	0.809132	+	0.587627i	$0.199938\pi$
$137$	−1.78127	+	10.1021i	−0.152184	+	0.863077i	−0.961316	+	0.275450i	$0.911173\pi$
$138$	−0.928240	−	1.58313i	−0.0790171	−	0.134765i
$139$	−12.7503	+	15.1952i	−1.08147	+	1.28884i	−0.126554	+	0.991960i	$0.540392\pi$
$139$	−12.7503	+	15.1952i	−1.08147	+	1.28884i	−0.954914	+	0.296883i	$0.904053\pi$
$140$	−0.260787	−	0.156665i	−0.0220406	−	0.0132406i
$141$	26.9501	−	15.5597i	2.26961	−	1.31036i
$142$	−9.12698	−	10.7301i	−0.765919	−	0.900446i
$143$	−2.84606	−	2.38813i	−0.238000	−	0.199705i
$144$	4.50884	−	30.3064i	0.375737	−	2.52553i
$145$		−	0.108182i		−	0.00898404i
$146$	5.76735	−	16.1827i	0.477309	−	1.33929i
$147$	−16.5707	−	15.7402i	−1.36673	−	1.29823i
$148$	2.36104	+	1.32122i	0.194076	+	0.108604i
$149$	10.2619	+	3.73503i	0.840688	+	0.305986i	0.726238	−	0.687443i	$-0.241267\pi$
$149$	10.2619	+	3.73503i	0.840688	+	0.305986i	0.114450	+	0.993429i	$0.463489\pi$
$150$	−0.154815	−	23.0710i	−0.0126406	−	1.88374i
$151$	−2.02810	+	3.51277i	−0.165044	+	0.285865i	−0.936671	−	0.350211i	$-0.886110\pi$
$151$	−2.02810	+	3.51277i	−0.165044	+	0.285865i	0.771627	+	0.636075i	$0.219443\pi$
$152$	−9.35488	−	8.03033i	−0.758781	−	0.651346i
$153$	1.77742			0.143696
$154$	5.41664	+	1.09015i	0.436485	+	0.0878470i
$155$	−0.192184	+	0.161261i	−0.0154366	+	0.0129528i
$156$	−0.220479	−	16.4275i	−0.0176524	−	1.31525i
$157$	17.1131	−	14.3596i	1.36578	−	1.14602i	0.391625	−	0.920125i	$-0.371913\pi$
$157$	17.1131	−	14.3596i	1.36578	−	1.14602i	0.974151	−	0.225897i	$-0.0725312\pi$
$158$	10.0986	+	11.8723i	0.803402	+	0.944513i
$159$			17.9090i			1.42028i
$160$	0.217295	+	0.241989i	0.0171787	+	0.0191309i
$161$	0.976612	+	0.389901i	0.0769678	+	0.0307285i
$162$	−37.1348	+	6.80511i	−2.91759	+	0.534660i
$163$	8.29663	+	4.79006i	0.649842	+	0.375187i	0.788396	−	0.615168i	$-0.210912\pi$
$163$	8.29663	+	4.79006i	0.649842	+	0.375187i	−0.138553	+	0.990355i	$0.544245\pi$
$164$	4.97261	−	14.2545i	0.388295	−	1.11309i
$165$	−0.0948063	−	0.260478i	−0.00738066	−	0.0202782i
$166$	−12.2952	−	20.9696i	−0.954290	−	1.62756i
$167$	−3.96807	+	1.44426i	−0.307059	+	0.111760i	−0.490954	−	0.871186i	$-0.663352\pi$
$167$	−3.96807	+	1.44426i	−0.307059	+	0.111760i	0.183895	+	0.982946i	$0.441129\pi$
$168$	11.9903	+	21.2883i	0.925070	+	1.64243i
$169$	1.15823	+	6.56867i	0.0890949	+	0.505282i
$170$	−0.0120300	+	0.0145337i	−0.000922658	+	0.00111469i
$171$	−12.3978	+	31.0021i	−0.948083	+	2.37079i
$172$	−22.4703	+	4.27382i	−1.71334	+	0.325875i
$173$	−13.1676	−	15.6925i	−1.00111	−	1.19308i	−0.981144	−	0.193278i	$-0.938088\pi$
$173$	−13.1676	−	15.6925i	−1.00111	−	1.19308i	−0.0199682	−	0.999801i	$-0.506356\pi$
$174$	−4.29352	+	7.55319i	−0.325491	+	0.572606i
$175$	8.18193	+	10.3839i	0.618496	+	0.784947i
$176$	−5.19281	−	2.81502i	−0.391423	−	0.212190i
$177$	0.879566	−	4.98827i	0.0661122	−	0.374941i
$178$	4.04649	+	3.34940i	0.303297	+	0.251048i
$179$	23.4798			1.75496			0.877480	−	0.479613i	$-0.159223\pi$
$179$	23.4798			1.75496			0.877480	+	0.479613i	$0.159223\pi$
$180$	0.430123	−	0.768637i	0.0320595	−	0.0572908i
$181$	23.1887	+	4.08879i	1.72360	+	0.303917i	0.945837	−	0.324642i	$-0.105244\pi$
$181$	23.1887	+	4.08879i	1.72360	+	0.303917i	0.777762	+	0.628559i	$0.216355\pi$
$182$	5.87574	+	7.35497i	0.435539	+	0.545187i
$183$	8.83994	−	15.3112i	0.653467	−	1.13184i
$184$	−0.875537	−	0.705123i	−0.0645455	−	0.0519824i
$185$	0.0499937	+	0.0595802i	0.00367561	+	0.00438042i
$186$	19.8182	−	3.63177i	1.45314	−	0.266295i
$187$	0.117193	−	0.321985i	0.00856999	−	0.0235459i
$188$	12.0561	−	14.7659i	0.879282	−	1.07691i
$189$	26.8119	−	30.0256i	1.95028	−	2.18404i
$190$	−0.169589	−	0.311205i	−0.0123033	−	0.0225772i
$191$	−6.85177	+	3.95587i	−0.495777	+	0.286237i	−0.726968	−	0.686672i	$-0.759071\pi$
$191$	−6.85177	+	3.95587i	−0.495777	+	0.286237i	0.231191	+	0.972908i	$0.425738\pi$
$192$	−5.56733	−	25.5195i	−0.401787	−	1.84171i
$193$	6.42844	−	1.13351i	0.462729	−	0.0815917i	0.0625767	−	0.998040i	$-0.480068\pi$
$193$	6.42844	−	1.13351i	0.462729	−	0.0815917i	0.400153	+	0.916448i	$0.368957\pi$
$194$	7.01692	+	2.50076i	0.503785	+	0.179544i
$195$	0.161529	−	0.443798i	0.0115673	−	0.0317810i
$196$	−12.9100	−	5.41590i	−0.922143	−	0.386850i
$197$	3.47602	−	6.02064i	0.247656	−	0.428953i	−0.715219	−	0.698900i	$-0.753673\pi$
$197$	3.47602	−	6.02064i	0.247656	−	0.428953i	0.962875	+	0.269948i	$0.0870064\pi$
$198$	−2.67203	+	15.7720i	−0.189893	+	1.12087i
$199$	−10.2066	+	12.1637i	−0.723524	+	0.862263i	−0.994968	−	0.100191i	$-0.968054\pi$
$199$	−10.2066	+	12.1637i	−0.723524	+	0.862263i	0.271444	+	0.962454i	$0.412499\pi$
$200$	−5.10005	−	13.1805i	−0.360628	−	0.932001i
$201$	−13.7095	+	23.7456i	−0.966994	+	1.67488i
$202$	23.5306	+	3.98646i	1.65561	+	0.280486i
$203$	−0.713171	−	4.92701i	−0.0500548	−	0.345808i
$204$	1.41674	−	0.537290i	0.0991915	−	0.0376178i
$205$	0.278962	−	0.332454i	0.0194836	−	0.0232196i
$206$	−13.5715	+	7.95742i	−0.945573	+	0.554420i
$207$	−1.04128	+	2.86090i	−0.0723741	+	0.198846i
$208$	−3.69458	−	9.36109i	−0.256173	−	0.649075i
$209$	4.79868	+	4.29000i	0.331932	+	0.296745i
$210$	0.105279	+	0.694427i	0.00726491	+	0.0479200i
$211$	−0.566823	−	3.21461i	−0.0390217	−	0.221303i	0.959061	−	0.283200i	$-0.0913960\pi$
$211$	−0.566823	−	3.21461i	−0.0390217	−	0.221303i	−0.998083	+	0.0618971i	$0.980285\pi$
$212$	3.89011	+	10.2575i	0.267174	+	0.704490i
$213$	−5.64734	+	32.0277i	−0.386949	+	2.19450i
$214$	−18.2535	−	10.3759i	−1.24778	−	0.709285i
$215$	−0.647539	−	0.114179i	−0.0441618	−	0.00778691i
$216$	−36.8276	+	22.2627i	−2.50580	+	1.51478i
$217$	−7.68966	+	8.61136i	−0.522008	+	0.584577i
$218$	1.86168	+	10.1590i	0.126089	+	0.688056i
$219$	−37.2705	+	13.5654i	−2.51851	+	0.916662i
$220$	−0.110881	−	0.128598i	−0.00747559	−	0.00867005i
$221$	0.505584	−	0.291899i	0.0340093	−	0.0196353i
$222$	−1.12591	−	6.14398i	−0.0755662	−	0.412357i
$223$	9.39537	+	3.41963i	0.629160	+	0.228996i	0.636866	−	0.770975i	$-0.280231\pi$
$223$	9.39537	+	3.41963i	0.629160	+	0.228996i	−0.00770544	+	0.999970i	$0.502453\pi$
$224$	11.4917	+	9.58860i	0.767820	+	0.640665i
$225$	−29.3201	+	24.6025i	−1.95467	+	1.64017i
$226$	−3.25038	+	5.71810i	−0.216212	+	0.380362i
$227$	−8.13536	+	14.0909i	−0.539963	+	0.935243i	0.458943	+	0.888466i	$0.348228\pi$
$227$	−8.13536	+	14.0909i	−0.539963	+	0.935243i	−0.998905	+	0.0467770i	$0.985105\pi$
$228$	−0.510468	+	28.4587i	−0.0338066	+	1.88473i
$229$	6.70090	+	11.6063i	0.442808	+	0.766966i	0.997897	−	0.0648253i	$-0.0206490\pi$
$229$	6.70090	+	11.6063i	0.442808	+	0.766966i	−0.555089	+	0.831791i	$0.687316\pi$
$230$	−0.0163456	−	0.0278777i	−0.00107780	−	0.00183820i
$231$	−6.03498	−	11.2381i	−0.397072	−	0.739415i
$232$	−0.818480	+	5.25877i	−0.0537359	+	0.345255i
$233$	1.31525	+	7.45917i	0.0861651	+	0.488666i	0.997099	+	0.0761144i	$0.0242514\pi$
$233$	1.31525	+	7.45917i	0.0861651	+	0.488666i	−0.910934	+	0.412552i	$0.864637\pi$
$234$	−20.7605	+	17.6588i	−1.35715	+	1.15439i
$235$	0.474571	−	0.273994i	0.0309576	−	0.0178734i
$236$	−0.579749	−	3.04813i	−0.0377384	−	0.198416i
$237$	6.24853	−	35.4372i	0.405886	−	2.30189i
$238$	−0.452079	+	0.741225i	−0.0293039	+	0.0480465i
$239$	2.53266	−	1.46223i	0.163824	−	0.0945840i	−0.415846	−	0.909435i	$-0.636515\pi$
$239$	2.53266	−	1.46223i	0.163824	−	0.0945840i	0.579671	+	0.814851i	$0.303181\pi$
$240$	0.110493	−	0.742683i	0.00713228	−	0.0479400i
$241$	−4.58960	−	12.6098i	−0.295642	−	0.812271i	−0.995215	−	0.0977092i	$-0.968849\pi$
$241$	−4.58960	−	12.6098i	−0.295642	−	0.812271i	0.699573	−	0.714561i	$-0.253374\pi$
$242$	−10.8431	−	6.16363i	−0.697022	−	0.396213i
$243$	31.8030	+	26.6859i	2.04016	+	1.71190i
$244$	1.73732	−	10.6898i	0.111220	−	0.684344i
$245$	−0.291797	−	0.277172i	−0.0186422	−	0.0177079i
$246$	−32.6713	+	12.1403i	−2.08305	+	0.774035i
$247$	1.56483	+	10.8546i	0.0995679	+	0.690659i
$248$	10.5622	−	6.38495i	0.670699	−	0.405445i
$249$	−19.1942	+	52.7357i	−1.21639	+	3.34199i
$250$	−0.00545414	−	0.812794i	−0.000344950	−	0.0514056i
$251$	4.07530	+	11.1968i	0.257231	+	0.706735i	0.999335	+	0.0364513i	$0.0116054\pi$
$251$	4.07530	+	11.1968i	0.257231	+	0.706735i	−0.742105	+	0.670284i	$0.766172\pi$
$252$	14.5223	−	37.8420i	0.914818	−	2.38382i
$253$	0.449604	+	0.377263i	0.0282664	+	0.0237183i
$254$	−0.198380	−	0.533870i	−0.0124475	−	0.0334980i
$255$	0.0435570			0.00272765
$256$	−8.73196	−	13.4072i	−0.545747	−	0.837950i
$257$	−5.25282	−	14.4320i	−0.327662	−	0.900244i	−0.988702	−	0.149893i	$-0.952107\pi$
$257$	−5.25282	−	14.4320i	−0.327662	−	0.900244i	0.661040	−	0.750350i	$-0.270115\pi$
$258$	40.6792	+	33.6713i	2.53257	+	2.09628i
$259$	2.66967	+	2.38392i	0.165885	+	0.148130i
$260$	−0.00388246	−	0.289275i	−0.000240780	−	0.0179401i
$261$	14.1944	−	2.50285i	0.878611	−	0.154923i
$262$	−3.55315	−	19.3892i	−0.219515	−	1.19787i
$263$	−23.2515	+	4.09986i	−1.43375	+	0.252808i	−0.835935	−	0.548828i	$-0.815074\pi$
$263$	−23.2515	+	4.09986i	−1.43375	+	0.252808i	−0.597812	+	0.801636i	$0.703963\pi$
$264$	2.63785	+	13.3792i	0.162349	+	0.823434i
$265$			0.315364i			0.0193726i
$266$	−9.77528	−	13.0554i	−0.599361	−	0.800479i
$267$		−	12.1272i		−	0.742171i
$268$	−2.69434	+	16.5784i	−0.164583	+	1.01269i
$269$	−6.78872	+	1.19703i	−0.413916	+	0.0729845i	−0.376728	−	0.926324i	$-0.622951\pi$
$269$	−6.78872	+	1.19703i	−0.413916	+	0.0729845i	−0.0371874	+	0.999308i	$0.511840\pi$
$270$	−1.21682	+	0.222987i	−0.0740531	+	0.0135705i
$271$	6.36918	−	1.12306i	0.386900	−	0.0682210i	0.0231851	−	0.999731i	$-0.492619\pi$
$271$	6.36918	−	1.12306i	0.386900	−	0.0682210i	0.363715	+	0.931510i	$0.381508\pi$
$272$	0.694741	−	0.615474i	0.0421249	−	0.0373186i
$273$	4.43097	−	21.2770i	0.268174	−	1.28774i
$274$	9.25005	−	11.1752i	0.558816	−	0.675120i
$275$	2.52361	+	6.93357i	0.152180	+	0.418110i
$276$	0.0348299	+	2.59512i	0.00209652	+	0.156208i
$277$	24.7014			1.48416			0.742082	−	0.670309i	$-0.233838\pi$
$277$	24.7014			1.48416			0.742082	+	0.670309i	$0.233838\pi$
$278$	26.2956	−	9.77112i	1.57710	−	0.586033i
$279$	−25.6051	−	21.4852i	−1.53294	−	1.28629i
$280$	0.211139	+	0.374871i	0.0126180	+	0.0224028i
$281$	−5.27742	−	14.4996i	−0.314824	−	0.864973i	−0.991665	−	0.128843i	$-0.958874\pi$
$281$	−5.27742	−	14.4996i	−0.314824	−	0.864973i	0.676841	−	0.736130i	$-0.263349\pi$
$282$	−44.0084	+	0.295312i	−2.62066	+	0.0175856i
$283$	3.45369	−	9.48894i	0.205301	−	0.564059i	−0.793721	−	0.608282i	$-0.791859\pi$
$283$	3.45369	−	9.48894i	0.205301	−	0.564059i	0.999022	+	0.0442229i	$0.0140812\pi$
$284$	3.72233	+	19.5708i	0.220880	+	1.16131i
$285$	−0.303818	+	0.759731i	−0.0179966	+	0.0450026i
$286$	1.83013	+	4.92515i	0.108218	+	0.291230i
$287$	10.5133	−	16.9802i	0.620581	−	1.00231i
$288$	−26.7238	+	34.1095i	−1.57471	+	2.00992i
$289$	−12.9815	−	10.8928i	−0.763618	−	0.640752i
$290$	−0.0756055	+	0.133006i	−0.00443971	+	0.00781037i
$291$	−5.88202	−	16.1607i	−0.344810	−	0.947357i
$292$	−18.4004	+	15.8654i	−1.07680	+	0.928452i
$293$	−12.9784	+	7.49311i	−0.758209	+	0.437752i	−0.828652	−	0.559764i	$-0.810892\pi$
$293$	−12.9784	+	7.49311i	−0.758209	+	0.437752i	0.0704435	+	0.997516i	$0.477559\pi$
$294$	9.37265	+	30.9327i	0.546624	+	1.80403i
$295$	0.0154885	−	0.0878395i	0.000901774	−	0.00511421i
$296$	−1.97944	−	3.27445i	−0.115053	−	0.190324i
$297$	19.4573	−	11.2337i	1.12903	−	0.651845i
$298$	−10.0063	−	11.7638i	−0.579650	−	0.681461i
$299$	0.173644	+	0.984785i	0.0100421	+	0.0569516i
$300$	−15.9334	+	28.4731i	−0.919913	+	1.64390i
$301$	−30.2440	−	0.931327i	−1.74323	−	0.0536808i
$302$	4.94844	−	2.90143i	0.284751	−	0.166959i
$303$	−27.5493	−	47.7168i	−1.58267	−	2.74126i
$304$	5.88929	+	16.4109i	0.337774	+	0.941227i
$305$	0.155664	−	0.269619i	0.00891332	−	0.0154383i
$306$	−2.18527	−	1.24219i	−0.124923	−	0.0710112i
$307$	6.85792	−	5.75448i	0.391402	−	0.328425i	−0.425757	−	0.904838i	$-0.639992\pi$
$307$	6.85792	−	5.75448i	0.391402	−	0.328425i	0.817159	+	0.576412i	$0.195548\pi$
$308$	−5.89768	−	5.12584i	−0.336051	−	0.292072i
$309$	34.1305	+	12.4225i	1.94162	+	0.706691i
$310$	0.348984	−	0.0639527i	0.0198209	−	0.00363227i
$311$	11.1156	−	6.41761i	0.630309	−	0.363909i	−0.150562	−	0.988601i	$-0.548108\pi$
$311$	11.1156	−	6.41761i	0.630309	−	0.363909i	0.780872	+	0.624691i	$0.214775\pi$
$312$	−11.2097	+	20.3511i	−0.634622	+	1.15215i
$313$	−2.75761	+	1.00369i	−0.155870	+	0.0567319i	−0.418777	−	0.908089i	$-0.637541\pi$
$313$	−2.75761	+	1.00369i	−0.155870	+	0.0567319i	0.262907	+	0.964821i	$0.415319\pi$
$314$	−31.0755	+	5.69471i	−1.75369	+	0.321371i
$315$	0.776087	−	0.869111i	0.0437276	−	0.0489688i
$316$	−4.11860	−	21.6542i	−0.231689	−	1.21815i
$317$	29.0037	+	5.11413i	1.62901	+	0.287238i	0.912112	−	0.409941i	$-0.134451\pi$
$317$	29.0037	+	5.11413i	1.62901	+	0.287238i	0.716897	+	0.697179i	$0.245562\pi$
$318$	12.5161	−	22.0184i	0.701869	−	1.23473i
$319$	0.482498	−	2.73638i	0.0270147	−	0.153208i
$320$	−0.0980363	−	0.449378i	−0.00548040	−	0.0251210i
$321$	8.41741	+	47.7375i	0.469814	+	2.66445i
$322$	−0.928216	−	1.16190i	−0.0517275	−	0.0647499i
$323$	−0.891352	+	0.478008i	−0.0495962	+	0.0265971i
$324$	50.4118	+	17.5859i	2.80065	+	0.976994i
$325$	−4.29968	+	11.8133i	−0.238503	+	0.655283i
$326$	−6.85275	−	11.6875i	−0.379539	−	0.647310i
$327$	15.3269	−	18.2659i	0.847582	−	1.01011i
$328$	−16.0757	+	14.0501i	−0.887633	+	0.775790i
$329$	19.8074	−	15.6072i	1.09202	−	0.860452i
$330$	−0.0654803	+	0.386506i	−0.00360457	+	0.0212764i
$331$	−14.1254	+	24.4659i	−0.776402	+	1.34477i	0.157602	+	0.987503i	$0.449624\pi$
$331$	−14.1254	+	24.4659i	−0.776402	+	1.34477i	−0.934003	+	0.357264i	$0.883709\pi$
$332$	0.461346	+	34.3741i	0.0253196	+	1.88652i
$333$	−6.66078	+	7.93801i	−0.365009	+	0.435000i
$334$	5.88795	+	0.997514i	0.322174	+	0.0545815i
$335$	−0.241414	+	0.418141i	−0.0131898	+	0.0228455i
$336$	0.136244	−	34.5529i	0.00743274	−	1.88501i
$337$	3.89426	−	10.6994i	0.212134	−	0.582833i	−0.787297	−	0.616574i	$-0.788520\pi$
$337$	3.89426	−	10.6994i	0.212134	−	0.582833i	0.999431	+	0.0337412i	$0.0107422\pi$
$338$	3.16666	−	8.88539i	0.172243	−	0.483301i
$339$	14.9543	−	2.63685i	0.812207	−	0.143214i
$340$	0.0249477	−	0.00946125i	0.00135298	−	0.000513108i
$341$	−5.58037	+	3.22183i	−0.302194	+	0.174472i
$342$	36.9091	−	29.4514i	1.99582	−	1.59255i
$343$	−15.1167	−	10.6998i	−0.816224	−	0.577735i
$344$	30.6132	+	10.4494i	1.65056	+	0.563393i
$345$	−0.0255174	+	0.0701086i	−0.00137381	+	0.00377452i
$346$	5.22197	+	28.4958i	0.280735	+	1.53194i
$347$	−15.2434	−	18.1663i	−0.818307	−	0.975220i	0.181660	−	0.983361i	$-0.441853\pi$
$347$	−15.2434	−	18.1663i	−0.818307	−	0.975220i	−0.999967	+	0.00814131i	$0.997409\pi$
$348$	10.5574	−	6.28574i	0.565938	−	0.336951i
$349$	4.48965	−	7.77630i	0.240326	−	0.416256i	−0.720481	−	0.693474i	$-0.756079\pi$
$349$	4.48965	−	7.77630i	0.240326	−	0.416256i	0.960807	+	0.277218i	$0.0894125\pi$
$350$	−2.80237	−	18.4847i	−0.149793	−	0.988049i
$351$	37.6979	+	6.64716i	2.01217	+	0.354799i
$352$	4.41702	+	7.09008i	0.235428	+	0.377902i
$353$	11.3063			0.601772			0.300886	−	0.953660i	$-0.402718\pi$
$353$	11.3063			0.601772			0.300886	+	0.953660i	$0.402718\pi$
$354$	−4.56756	+	5.51818i	−0.242763	+	0.293288i
$355$	−0.0994453	+	0.563982i	−0.00527801	+	0.0299331i
$356$	−2.63421	−	6.94594i	−0.139613	−	0.368134i
$357$	1.98375	−	0.287142i	0.104991	−	0.0151972i
$358$	−28.8675	−	16.4094i	−1.52569	−	0.867262i
$359$	−10.7589	−	12.8220i	−0.567833	−	0.676717i	0.403351	−	0.915045i	$-0.367845\pi$
$359$	−10.7589	−	12.8220i	−0.567833	−	0.676717i	−0.971185	+	0.238328i	$0.923401\pi$
$360$	−1.06600	+	0.644408i	−0.0561831	+	0.0339633i
$361$	−2.12018	−	18.8813i	−0.111589	−	0.993754i
$362$	−25.6520	−	21.2329i	−1.34824	−	1.11598i
$363$	5.00020	+	28.3576i	0.262443	+	1.48839i
$364$	−2.08382	−	13.1491i	−0.109222	−	0.689198i
$365$	−0.656305	+	0.238875i	−0.0343526	+	0.0125033i
$366$	−21.5690	+	12.6466i	−1.12743	+	0.661047i
$367$	0.531807	+	1.46113i	0.0277601	+	0.0762703i	0.952799	−	0.303603i	$-0.0981897\pi$
$367$	0.531807	+	1.46113i	0.0277601	+	0.0762703i	−0.925038	+	0.379874i	$0.875968\pi$
$368$	0.583649	+	1.47881i	0.0304248	+	0.0770884i
$369$	50.0747	+	28.9106i	2.60678	+	1.50503i
$370$	−0.0198264	−	0.108191i	−0.00103073	−	0.00562457i
$371$	2.07898	+	14.3628i	0.107935	+	0.745680i
$372$	−26.9039	−	9.38529i	−1.39490	−	0.486605i
$373$		−	30.2802i		−	1.56785i	−0.620856	−	0.783924i	$-0.713215\pi$
$373$		−	30.2802i		−	1.56785i	0.620856	−	0.783924i	$-0.286785\pi$
$374$	−0.369110	+	0.313965i	−0.0190862	+	0.0162347i
$375$	−1.43750	+	1.20621i	−0.0742321	+	0.0622882i
$376$	−25.1420	+	9.72843i	−1.29660	+	0.501706i
$377$	3.62654	−	3.04303i	0.186776	−	0.156724i
$378$	−53.9483	+	18.1773i	−2.77480	+	0.934938i
$379$	6.14326			0.315558			0.157779	−	0.987474i	$-0.449567\pi$
$379$	6.14326			0.315558			0.157779	+	0.987474i	$0.449567\pi$
$380$	−0.00898895	+	0.501136i	−0.000461124	+	0.0257077i
$381$	−0.657438	+	1.13872i	−0.0336816	+	0.0583382i
$382$	11.1886	−	0.0750798i	0.572461	−	0.00384141i
$383$	−16.9336	−	6.16334i	−0.865269	−	0.314932i	−0.129019	−	0.991642i	$-0.541183\pi$
$383$	−16.9336	−	6.16334i	−0.865269	−	0.314932i	−0.736250	+	0.676710i	$0.763405\pi$
$384$	−10.9901	+	35.2661i	−0.560834	+	1.79967i
$385$	−0.106271	−	0.197895i	−0.00541609	−	0.0100856i
$386$	−8.69571	−	3.09906i	−0.442600	−	0.157738i
$387$		−	87.6041i		−	4.45316i
$388$	−6.87933	−	7.97852i	−0.349245	−	0.405048i
$389$	−10.7129	−	8.98915i	−0.543163	−	0.455768i	0.329455	−	0.944171i	$-0.393135\pi$
$389$	−10.7129	−	8.98915i	−0.543163	−	0.455768i	−0.872618	+	0.488403i	$0.837580\pi$
$390$	−0.508752	+	0.432744i	−0.0257616	+	0.0219128i
$391$	−0.0798693	+	0.0461126i	−0.00403916	+	0.00233201i
$392$	12.0873	+	15.6811i	0.610502	+	0.792015i
$393$	−29.2525	+	34.8618i	−1.47560	+	1.75855i
$394$	−8.48129	+	4.97285i	−0.427281	+	0.250529i
$395$	0.110032	−	0.624021i	0.00553630	−	0.0313979i
$396$	14.3078	−	17.5237i	0.718994	−	0.880598i
$397$	2.09098	−	1.75454i	0.104943	−	0.0880578i	−0.588806	−	0.808274i	$-0.700402\pi$
$397$	2.09098	−	1.75454i	0.104943	−	0.0880578i	0.693749	+	0.720216i	$0.255957\pi$
$398$	21.0495	−	7.82174i	1.05511	−	0.392068i
$399$	−8.82857	+	36.6038i	−0.441981	+	1.83248i
$400$	−2.94117	+	19.7692i	−0.147058	+	0.988459i
$401$	4.88821	+	5.82554i	0.244106	+	0.290914i	0.874161	−	0.485637i	$-0.161412\pi$
$401$	4.88821	+	5.82554i	0.244106	+	0.290914i	−0.630055	+	0.776550i	$0.716968\pi$
$402$	33.4504	−	19.6131i	1.66836	−	0.978211i
$403$	−10.8118	−	1.90641i	−0.538573	−	0.0949650i
$404$	−26.1439	−	21.3461i	−1.30071	−	1.06201i
$405$	1.17574	+	0.986564i	0.0584230	+	0.0490227i
$406$	−2.56653	+	6.55599i	−0.127375	+	0.325368i
$407$	0.998820	+	1.73001i	0.0495097	+	0.0857533i
$408$	−2.11732	−	0.329542i	−0.104823	−	0.0163148i
$409$	15.0341	−	17.9169i	0.743387	−	0.885935i	−0.253290	−	0.967390i	$-0.581513\pi$
$409$	15.0341	−	17.9169i	0.743387	−	0.885935i	0.996677	+	0.0814560i	$0.0259570\pi$
$410$	−0.575316	+	0.213781i	−0.0284128	+	0.0105579i
$411$	−33.4917			−1.65202
$412$	22.2469	−	0.298583i	1.09603	−	0.0147101i
$413$	0.126336	−	4.10264i	0.00621658	−	0.201878i
$414$	3.27962	−	2.78964i	0.161185	−	0.137103i
$415$	−0.337996	+	0.928635i	−0.0165915	+	0.0455849i
$416$	−1.99986	+	14.0912i	−0.0980512	+	0.690875i
$417$	−56.0871	−	32.3819i	−2.74660	−	1.58575i
$418$	−2.90164	−	8.62806i	−0.141924	−	0.422012i
$419$		−	26.4729i		−	1.29329i	−0.762792	−	0.646643i	$-0.776172\pi$
$419$		−	26.4729i		−	1.29329i	0.762792	−	0.646643i	$-0.223828\pi$
$420$	0.355880	−	0.927348i	0.0173652	−	0.0452500i
$421$	−18.9869	−	22.6278i	−0.925367	−	1.10281i	−0.994451	−	0.105199i	$-0.966452\pi$
$421$	−18.9869	−	22.6278i	−0.925367	−	1.10281i	0.0690841	−	0.997611i	$-0.477992\pi$
$422$	−1.54972	+	4.34838i	−0.0754390	+	0.211676i
$423$	46.9297	+	55.9286i	2.28180	+	2.71934i
$424$	2.38597	−	15.3299i	0.115873	−	0.744488i
$425$	−1.15943			−0.0562405
$426$	29.3264	−	35.4300i	1.42087	−	1.71659i
$427$	5.31211	−	13.3056i	0.257071	−	0.643903i
$428$	15.1905	+	25.5137i	0.734259	+	1.23325i
$429$	6.06511	−	10.5051i	0.292826	−	0.507190i
$430$	0.716328	+	0.592925i	0.0345444	+	0.0285934i
$431$	−32.5302	+	11.8400i	−1.56692	+	0.570313i	−0.972309	−	0.233699i	$-0.924917\pi$
$431$	−32.5302	+	11.8400i	−1.56692	+	0.570313i	−0.594613	+	0.804012i	$0.702695\pi$
$432$	60.8370	−	1.63332i	2.92702	−	0.0785831i
$433$	3.91583	+	10.7587i	0.188183	+	0.517028i	0.997525	−	0.0703091i	$-0.0223986\pi$
$433$	3.91583	+	10.7587i	0.188183	+	0.517028i	−0.809342	+	0.587337i	$0.800176\pi$
$434$	15.4724	−	5.21325i	0.742699	−	0.250244i
$435$	0.347845	−	0.0613344i	0.0166779	−	0.00294076i
$436$	4.81099	−	13.7912i	0.230405	−	0.660479i
$437$	−0.247203	−	1.71474i	−0.0118253	−	0.0820271i
$438$	55.3032	+	9.36925i	2.64249	+	0.447680i
$439$	18.7374	−	15.7225i	0.894286	−	0.750395i	−0.0747795	−	0.997200i	$-0.523825\pi$
$439$	18.7374	−	15.7225i	0.894286	−	0.750395i	0.969065	+	0.246805i	$0.0793809\pi$
$440$	0.0464505	+	0.235598i	0.00221444	+	0.0112317i
$441$	29.6164	−	44.6987i	1.41030	−	2.12851i
$442$	−0.825597	+	0.00554005i	−0.0392696	+	0.000263513i
$443$	15.6572	+	2.76079i	0.743898	+	0.131169i	0.532736	−	0.846282i	$-0.321164\pi$
$443$	15.6572	+	2.76079i	0.743898	+	0.131169i	0.211162	+	0.977451i	$0.432275\pi$
$444$	−2.90960	+	8.34066i	−0.138083	+	0.395830i
$445$		−	0.213550i		−	0.0101232i
$446$	−9.16136	−	10.7705i	−0.433803	−	0.509997i
$447$	−6.19143	+	35.1134i	−0.292845	+	1.66080i
$448$	−7.42738	−	19.8200i	−0.350911	−	0.936409i
$449$	−17.6964	−	10.2170i	−0.835146	−	0.482172i	0.0204652	−	0.999791i	$-0.493485\pi$
$449$	−17.6964	−	10.2170i	−0.835146	−	0.482172i	−0.855611	+	0.517619i	$0.826819\pi$
$450$	53.2419	−	9.75681i	2.50985	−	0.459940i
$451$	8.53889	−	7.16498i	0.402080	−	0.337386i
$452$	7.99245	−	4.75858i	0.375933	−	0.223825i
$453$	−12.4447	−	4.52948i	−0.584701	−	0.212814i
$454$	19.8498	−	11.6386i	0.931599	−	0.546226i
$455$	0.0780259	−	0.374671i	0.00365791	−	0.0175649i
$456$	20.5166	−	34.6322i	0.960779	−	1.62180i
$457$	6.41399	+	11.1094i	0.300034	+	0.519674i	0.976143	−	0.217127i	$-0.0696687\pi$
$457$	6.41399	+	11.1094i	0.300034	+	0.519674i	−0.676109	+	0.736801i	$0.736335\pi$
$458$	−0.127179	−	18.9526i	−0.00594266	−	0.885596i
$459$	0.613049	+	3.47678i	0.0286147	+	0.162282i
$460$	0.000613328		0.0456981i	2.85966e−5		0.00213068i
$461$	−36.5313	−	13.2963i	−1.70143	−	0.619271i	−0.705446	−	0.708764i	$-0.749253\pi$
$461$	−36.5313	−	13.2963i	−1.70143	−	0.619271i	−0.995987	+	0.0894925i	$0.971476\pi$
$462$	−0.434244	+	18.0345i	−0.0202029	+	0.839043i
$463$	15.4353	+	8.91158i	0.717340	+	0.414156i	0.813773	−	0.581183i	$-0.197410\pi$
$463$	15.4353	+	8.91158i	0.717340	+	0.414156i	−0.0964329	+	0.995339i	$0.530743\pi$
$464$	4.68150	−	5.89345i	0.217333	−	0.273596i
$465$	−0.627473	−	0.526512i	−0.0290984	−	0.0244164i
$466$	3.59596	−	10.0900i	0.166579	−	0.467408i
$467$	−7.73748	−	4.46724i	−0.358048	−	0.206719i	0.310176	−	0.950679i	$-0.399612\pi$
$467$	−7.73748	−	4.46724i	−0.358048	−	0.206719i	−0.668224	+	0.743960i	$0.732945\pi$
$468$	37.8655	−	7.20196i	1.75033	−	0.332911i
$469$	−8.23834	+	20.6351i	−0.380411	+	0.952842i
$470$	−0.774953	+	0.00520021i	−0.0357459	+	0.000239868i
$471$	55.8737	+	46.8836i	2.57453	+	2.16028i
$472$	−1.41747	+	4.15273i	−0.0652445	+	0.191145i
$473$	−15.8697	−	5.77611i	−0.729691	−	0.265586i
$474$	−32.4484	+	39.2018i	−1.49041	+	1.80060i
$475$	8.08721	−	20.2230i	0.371066	−	0.927894i
$476$	1.07384	−	0.595363i	0.0492192	−	0.0272884i
$477$	−41.3783	+	7.29612i	−1.89458	+	0.334066i
$478$	−4.13573	+	0.0277522i	−0.189164	+	0.00126936i
$479$	−9.46079	−	1.66819i	−0.432275	−	0.0762217i	−0.0467228	−	0.998908i	$-0.514878\pi$
$479$	−9.46079	−	1.66819i	−0.432275	−	0.0762217i	−0.385552	+	0.922686i	$0.625989\pi$
$480$	−0.654887	+	0.835880i	−0.0298914	+	0.0381525i
$481$	−0.591019	+	3.35183i	−0.0269481	+	0.152830i
$482$	−3.16992	+	18.7109i	−0.144386	+	0.852256i
$483$	−0.699979	+	3.36122i	−0.0318501	+	0.152941i
$484$	9.02360	+	15.1559i	0.410164	+	0.688905i
$485$	−0.103578	−	0.284577i	−0.00470322	−	0.0129220i
$486$	−20.4506	−	55.0355i	−0.927656	−	2.49646i
$487$	3.70299	+	6.41376i	0.167798	+	0.290635i	0.937646	−	0.347593i	$-0.113001\pi$
$487$	3.70299	+	6.41376i	0.167798	+	0.290635i	−0.769847	+	0.638228i	$0.779668\pi$
$488$	−9.60677	+	11.9285i	−0.434878	+	0.539980i
$489$	−10.6980	+	29.3924i	−0.483779	+	1.32917i
$490$	0.165045	+	0.544701i	0.00745598	+	0.0246071i
$491$	9.28858	+	11.0697i	0.419188	+	0.499569i	0.933771	−	0.357872i	$-0.116498\pi$
$491$	9.28858	+	11.0697i	0.419188	+	0.499569i	−0.514583	+	0.857441i	$0.672053\pi$
$492$	48.6526	+	7.90708i	2.19343	+	0.356479i
$493$	0.378119	+	0.218307i	0.0170296	+	0.00983206i
$494$	5.66205	−	14.4389i	0.254748	−	0.649636i
$495$	0.563205	−	0.325166i	0.0253142	−	0.0146151i
$496$	−17.4481	+	0.468437i	−0.783442	+	0.0210334i
$497$	−0.811151	+	26.3414i	−0.0363851	+	1.18157i
$498$	60.4541	−	51.4223i	2.70901	−	2.30429i
$499$	−13.7429	+	2.42325i	−0.615217	+	0.108479i	−0.472568	−	0.881294i	$-0.656673\pi$
$499$	−13.7429	+	2.42325i	−0.615217	+	0.108479i	−0.142649	+	0.989773i	$0.545562\pi$
$500$	−0.561334	+	1.00311i	−0.0251036	+	0.0448605i
$501$	−6.89354	−	11.9400i	−0.307981	−	0.533438i
$502$	2.81470	−	16.6141i	0.125626	−	0.741526i
$503$	−16.2644	−	2.86786i	−0.725195	−	0.127871i	−0.201148	−	0.979561i	$-0.564467\pi$
$503$	−16.2644	−	2.86786i	−0.725195	−	0.127871i	−0.524047	+	0.851690i	$0.675578\pi$
$504$	−44.3014	+	36.3761i	−1.97334	+	1.62032i
$505$	−0.485122	−	0.840256i	−0.0215876	−	0.0373909i
$506$	−0.289113	−	0.778046i	−0.0128526	−	0.0345884i
$507$	−20.4640	+	7.44828i	−0.908838	+	0.330790i
$508$	−0.129207	+	0.795015i	−0.00573262	+	0.0352731i
$509$	−11.6971	+	13.9401i	−0.518467	+	0.617885i	−0.960218	−	0.279253i	$-0.909913\pi$
$509$	−11.6971	+	13.9401i	−0.518467	+	0.617885i	0.441751	+	0.897138i	$0.354358\pi$
$510$	−0.0535517	−	0.0304408i	−0.00237131	−	0.00134794i
$511$	−28.3158	+	15.2058i	−1.25262	+	0.672666i
$512$	1.36569	+	22.5862i	0.0603556	+	0.998177i
$513$	−64.9188	−	13.5582i	−2.86623	−	0.598607i
$514$	−3.62799	+	21.4147i	−0.160024	+	0.944560i
$515$	0.601012	+	0.218751i	0.0264838	+	0.00963930i
$516$	−26.4815	−	69.8271i	−1.16578	−	3.07397i
$517$	13.2259	−	4.81384i	0.581675	−	0.211712i
$518$	−1.61619	−	4.79670i	−0.0710115	−	0.210755i
$519$	42.9917	−	51.2355i	1.88712	−	2.24899i
$520$	−0.197393	+	0.358366i	−0.00865627	+	0.0157154i
$521$		−	34.5338i		−	1.51295i	−0.654022	−	0.756476i	$-0.726919\pi$
$521$		−	34.5338i		−	1.51295i	0.654022	−	0.756476i	$-0.273081\pi$
$522$	−19.2006	−	6.84291i	−0.840390	−	0.299506i
$523$	0.394502	−	0.143587i	0.0172503	−	0.00627861i	−0.333381	−	0.942792i	$-0.608189\pi$
$523$	0.394502	−	0.143587i	0.0172503	−	0.00627861i	0.350631	+	0.936514i	$0.385967\pi$
$524$	−9.18212	+	26.3215i	−0.401123	+	1.14986i
$525$	−28.7491	+	32.1951i	−1.25471	+	1.40511i
$526$	31.4521	+	11.2092i	1.37138	+	0.488744i
$527$	−0.175823	−	0.997141i	−0.00765896	−	0.0434361i
$528$	6.10723	−	18.2928i	0.265783	−	0.796090i
$529$	3.96648	+	22.4950i	0.172456	+	0.978044i
$530$	0.220399	−	0.387728i	0.00957352	−	0.0168418i
$531$	11.8836			0.515705
$532$	2.89426	+	22.8828i	0.125482	+	0.992096i
$533$	18.9916			0.822616
$534$	−8.47535	+	14.9099i	−0.366764	+	0.645215i
$535$	0.148224	+	0.840621i	0.00640829	+	0.0363432i
$536$	14.8988	−	18.4995i	0.643529	−	0.799057i
$537$	13.3120	+	75.4960i	0.574454	+	3.25789i
$538$	9.18305	+	3.27274i	0.395910	+	0.141098i
$539$	−6.14456	−	8.31227i	−0.264665	−	0.358035i
$540$	1.65187	+	0.576246i	0.0710852	+	0.0247977i
$541$	22.1596	−	8.06542i	0.952714	−	0.346759i	0.181540	−	0.983384i	$-0.441892\pi$
$541$	22.1596	−	8.06542i	0.952714	−	0.346759i	0.771174	+	0.636624i	$0.219670\pi$
$542$	−8.61554	−	3.07049i	−0.370069	−	0.131889i
$543$			76.8781i			3.29916i
$544$	−1.28430	+	0.271167i	−0.0550637	+	0.0116262i
$545$	0.269896	−	0.321649i	0.0115611	−	0.0137779i
$546$	−20.3176	+	23.0626i	−0.869514	+	0.986988i
$547$	10.9173	−	3.97358i	0.466791	−	0.169898i	−0.0979073	−	0.995196i	$-0.531215\pi$
$547$	10.9173	−	3.97358i	0.466791	−	0.169898i	0.564698	+	0.825298i	$0.308993\pi$
$548$	−19.1826	+	7.27490i	−0.819442	+	0.310768i
$549$	38.9776	+	14.1867i	1.66352	+	0.605473i
$550$	1.74300	−	10.2882i	0.0743216	−	0.438692i
$551$	−6.44520	+	5.07250i	−0.274575	+	0.216096i
$552$	1.77084	−	3.21494i	0.0753718	−	0.136837i
$553$	0.897503	−	29.1456i	0.0381657	−	1.23940i
$554$	−30.3695	−	17.2631i	−1.29027	−	0.733441i
$555$	−0.163228	+	0.194527i	−0.00692863	+	0.00825722i
$556$	−39.1582	−	6.36403i	−1.66068	−	0.269895i
$557$	14.1633	−	5.15501i	0.600117	−	0.218425i	−0.0240566	−	0.999711i	$-0.507658\pi$
$557$	14.1633	−	5.15501i	0.600117	−	0.218425i	0.624173	+	0.781286i	$0.285436\pi$
$558$	16.4651	+	44.3100i	0.697022	+	1.87579i
$559$	−14.3869	−	24.9189i	−0.608501	−	1.05396i
$560$	0.00239916	−	0.608449i	0.000101383	−	0.0257117i
$561$	1.10174	+	0.194267i	0.0465155	+	0.00820194i
$562$	−3.64498	+	21.5149i	−0.153754	+	0.907553i
$563$	−9.95990	−	17.2510i	−0.419760	−	0.727045i	0.576155	−	0.817340i	$-0.304552\pi$
$563$	−9.95990	−	17.2510i	−0.419760	−	0.727045i	−0.995915	+	0.0902952i	$0.971219\pi$
$564$	54.3130	+	30.3932i	2.28699	+	1.27978i
$565$	0.263334	−	0.0464329i	0.0110785	−	0.00195345i
$566$	−10.8777	+	9.25260i	−0.457226	+	0.388916i
$567$	60.0512	+	37.1808i	2.52192	+	1.56145i
$568$	9.10102	−	26.6630i	0.381870	−	1.11875i
$569$	−7.85341	+	4.53417i	−0.329232	+	0.190082i	−0.655500	−	0.755195i	$-0.727542\pi$
$569$	−7.85341	+	4.53417i	−0.329232	+	0.190082i	0.326268	+	0.945277i	$0.394209\pi$
$570$	0.904487	−	0.721730i	0.0378848	−	0.0302300i
$571$	6.48254	+	3.74269i	0.271286	+	0.156627i	0.629472	−	0.777023i	$-0.283271\pi$
$571$	6.48254	+	3.74269i	0.271286	+	0.156627i	−0.358186	+	0.933650i	$0.616605\pi$
$572$	1.19198	−	7.33431i	0.0498391	−	0.306663i
$573$	−16.6042	−	19.7881i	−0.693651	−	0.826661i
$574$	−24.7927	+	13.5290i	−1.03483	+	0.564690i
$575$	0.679239	−	1.86619i	0.0283262	−	0.0778257i
$576$	56.6941	−	23.2598i	2.36225	−	0.969159i
$577$	−4.26644	−	7.38970i	−0.177614	−	0.307637i	0.763449	−	0.645869i	$-0.223505\pi$
$577$	−4.26644	−	7.38970i	−0.177614	−	0.307637i	−0.941063	+	0.338232i	$0.890171\pi$
$578$	8.34761	+	22.4647i	0.347215	+	0.934408i
$579$	7.28928	+	20.0271i	0.302932	+	0.832299i
$580$	0.185908	−	0.110687i	0.00771942	−	0.00459603i
$581$	−9.27169	+	44.5216i	−0.384655	+	1.84707i
$582$	−4.06256	+	23.9798i	−0.168398	+	0.993993i
$583$	−1.40654	+	7.97688i	−0.0582529	+	0.330368i
$584$	33.7105	−	6.64637i	1.39495	−	0.275029i
$585$	1.09119	+	0.192406i	0.0451152	+	0.00795502i
$586$	21.1932	−	0.142214i	0.875484	−	0.00587481i
$587$	0.335827	−	0.0592153i	0.0138610	−	0.00244408i	−0.166713	−	0.986005i	$-0.553315\pi$
$587$	0.335827	−	0.0592153i	0.0138610	−	0.00244408i	0.180574	+	0.983561i	$0.442204\pi$
$588$	10.0947	−	44.5809i	0.416299	−	1.83849i
$589$	18.6187	+	3.88849i	0.767171	+	0.160222i
$590$	−0.0804311	+	0.0971709i	−0.00331130	+	0.00400046i
$591$	21.3293	+	7.76323i	0.877370	+	0.319336i
$592$	0.145223	+	5.40919i	0.00596864	+	0.222317i
$593$	10.1490	+	8.51604i	0.416770	+	0.349712i	0.826933	−	0.562301i	$-0.190084\pi$
$593$	10.1490	+	8.51604i	0.416770	+	0.349712i	−0.410163	+	0.912012i	$0.634528\pi$
$594$	−31.7730	+	0.213208i	−1.30366	+	0.00874802i
$595$	0.0349322	−	0.00505634i	0.00143208	−	0.000207290i
$596$	4.08096	+	21.4563i	0.167163	+	0.878886i
$597$	−44.8974	−	25.9215i	−1.83753	−	1.06090i
$598$	0.474750	−	1.33211i	0.0194140	−	0.0544741i
$599$	15.6603	+	13.1405i	0.639862	+	0.536908i	0.903976	−	0.427583i	$-0.140635\pi$
$599$	15.6603	+	13.1405i	0.639862	+	0.536908i	−0.264114	+	0.964492i	$0.585079\pi$
$600$	39.4885	−	23.8712i	1.61211	−	0.974539i
$601$	9.66541	+	5.58032i	0.394260	+	0.227626i	0.684004	−	0.729478i	$-0.260237\pi$
$601$	9.66541	+	5.58032i	0.394260	+	0.227626i	−0.289744	+	0.957104i	$0.593570\pi$
$602$	36.5329	+	22.2817i	1.48897	+	0.908135i
$603$	−60.4488	−	22.0016i	−2.46167	−	0.895973i
$604$	−8.11165	+	0.108869i	−0.330059	+	0.00442982i
$605$	0.0880497	+	0.499355i	0.00357973	+	0.0203017i
$606$	0.522867	+	77.9195i	0.0212400	+	3.16526i
$607$	−3.86508	−	6.69452i	−0.156879	−	0.271722i	0.776863	−	0.629670i	$-0.216810\pi$
$607$	−3.86508	−	6.69452i	−0.156879	−	0.271722i	−0.933742	+	0.357948i	$0.883477\pi$
$608$	4.22843	−	24.2924i	0.171486	−	0.985187i
$609$	15.4378	−	5.08650i	0.625571	−	0.206115i
$610$	−0.379813	+	0.222696i	−0.0153782	+	0.00901671i
$611$	22.5340	+	8.20172i	0.911630	+	0.331806i
$612$	1.81857	+	3.05445i	0.0735115	+	0.123469i
$613$	20.8577	−	17.5017i	0.842435	−	0.706887i	−0.115675	−	0.993287i	$-0.536903\pi$
$613$	20.8577	−	17.5017i	0.842435	−	0.706887i	0.958110	+	0.286401i	$0.0924588\pi$
$614$	−12.4532	+	2.28210i	−0.502570	+	0.0920981i
$615$	1.22712	+	0.708478i	0.0494822	+	0.0285686i
$616$	3.66866	+	10.4238i	0.147815	+	0.419985i
$617$	−5.89865	+	33.4529i	−0.237471	+	1.34676i	0.599877	+	0.800092i	$0.295216\pi$
$617$	−5.89865	+	33.4529i	−0.237471	+	1.34676i	−0.837348	+	0.546671i	$0.815895\pi$
$618$	−33.2805	−	39.1259i	−1.33874	−	1.57387i
$619$			18.9467i			0.761532i	0.924671	+	0.380766i	$0.124340\pi$
$619$			18.9467i			0.761532i	−0.924671	+	0.380766i	$0.875660\pi$
$620$	−0.473757	−	0.165268i	−0.0190265	−	0.00663731i
$621$	−5.95530	−	1.05008i	−0.238978	−	0.0421383i
$622$	−18.1513	+	0.121802i	−0.727802	+	0.00488381i
$623$	−1.40779	−	9.72585i	−0.0564019	−	0.389658i
$624$	28.0046	−	17.1867i	1.12108	−	0.688020i
$625$	19.1131	−	16.0378i	0.764525	−	0.641513i
$626$	4.09183	+	0.693223i	0.163543	+	0.0277068i
$627$	−11.0733	+	17.8617i	−0.442224	+	0.713329i
$628$	42.1860	+	14.7164i	1.68340	+	0.587247i
$629$	−0.309130	+	0.0545080i	−0.0123258	+	0.00217338i
$630$	−1.56157	+	0.526153i	−0.0622143	+	0.0209624i
$631$	−11.9156	−	32.7378i	−0.474352	−	1.30327i	−0.914223	−	0.405211i	$-0.867198\pi$
$631$	−11.9156	−	32.7378i	−0.474352	−	1.30327i	0.439871	−	0.898061i	$-0.355024\pi$
$632$	−10.0699	+	29.5014i	−0.400558	+	1.17350i
$633$	10.0148	−	3.64508i	0.398052	−	0.144879i
$634$	−32.0848	−	26.5575i	−1.27425	−	1.05473i
$635$	−0.0115770	+	0.0200519i	−0.000459418	+	0.000795736i
$636$	−30.7762	+	18.3237i	−1.22035	+	0.726581i
$637$	1.08363	−	17.5783i	0.0429350	−	0.696477i
$638$	−2.50559	+	3.02707i	−0.0991975	+	0.119843i
$639$	−76.2998			−3.01838
$640$	−0.193526	+	0.621009i	−0.00764980	+	0.0245475i
$641$	17.1544	+	20.4439i	0.677559	+	0.807484i	0.989792	−	0.142522i	$-0.0455212\pi$
$641$	17.1544	+	20.4439i	0.677559	+	0.807484i	−0.312232	+	0.950006i	$0.601077\pi$
$642$	23.0136	−	64.5742i	0.908272	−	2.54854i
$643$	1.08071	+	1.28794i	0.0426191	+	0.0507915i	0.786933	−	0.617039i	$-0.211668\pi$
$643$	1.08071	+	1.28794i	0.0426191	+	0.0507915i	−0.744314	+	0.667830i	$0.767223\pi$
$644$	0.329189	+	2.07721i	0.0129719	+	0.0818536i
$645$		−	2.14681i		−	0.0845304i
$646$	1.42995	+	0.0352490i	0.0562606	+	0.00138685i
$647$	−2.28795	−	1.32095i	−0.0899487	−	0.0519319i	0.454351	−	0.890823i	$-0.349871\pi$
$647$	−2.28795	−	1.32095i	−0.0899487	−	0.0519319i	−0.544300	+	0.838891i	$0.683205\pi$
$648$	−49.6891	−	56.8526i	−1.95197	−	2.23338i
$649$	0.783537	−	2.15275i	0.0307565	−	0.0845029i
$650$	13.5423	−	11.5190i	0.531172	−	0.451814i
$651$	−32.0483	−	19.8428i	−1.25607	−	0.777700i
$652$	0.257133	+	19.1585i	0.0100701	+	0.750306i
$653$	23.9293			0.936425			0.468213	−	0.883616i	$-0.344898\pi$
$653$	23.9293			0.936425			0.468213	+	0.883616i	$0.344898\pi$
$654$	−31.6095	+	11.7457i	−1.23603	+	0.459293i
$655$	−0.515115	+	0.613890i	−0.0201272	+	0.0239867i
$656$	29.5837	−	6.03925i	1.15505	−	0.235793i
$657$	−46.5264	−	80.5861i	−1.81517	−	3.14396i
$658$	−35.2599	+	5.34557i	−1.37457	+	0.208392i
$659$	27.7123	+	23.2534i	1.07952	+	0.905824i	0.995881	−	0.0906726i	$-0.0289017\pi$
$659$	27.7123	+	23.2534i	1.07952	+	0.905824i	0.0836378	+	0.996496i	$0.473346\pi$
$660$	0.350624	−	0.429432i	0.0136480	−	0.0167156i
$661$	−21.6267	−	3.81337i	−0.841181	−	0.148323i	−0.263575	−	0.964639i	$-0.584902\pi$
$661$	−21.6267	−	3.81337i	−0.841181	−	0.148323i	−0.577606	+	0.816316i	$0.696013\pi$
$662$	34.4652	−	20.2080i	1.33953	−	0.785408i
$663$	1.22521	+	1.46014i	0.0475830	+	0.0567073i
$664$	23.4559	−	42.5841i	0.910266	−	1.65258i
$665$	−0.155464	+	0.644564i	−0.00602865	+	0.0249951i
$666$	13.7368	−	5.10445i	0.532292	−	0.197793i
$667$	−0.572900	+	0.480720i	−0.0221828	+	0.0186136i
$668$	−6.54188	−	5.34133i	−0.253113	−	0.206662i
$669$	−5.66861	+	32.1483i	−0.219161	+	1.24292i
$670$	0.589036	−	0.345371i	0.0227565	−	0.0133428i
$671$	5.13992	−	6.12552i	0.198424	−	0.236473i
$672$	−24.3156	+	42.3862i	−0.937993	+	1.63508i
$673$	8.99608	−	5.19389i	0.346773	−	0.200210i	−0.316490	−	0.948596i	$-0.602504\pi$
$673$	8.99608	−	5.19389i	0.346773	−	0.200210i	0.663263	+	0.748386i	$0.269171\pi$
$674$	−12.2654	+	10.4329i	−0.472444	+	0.401861i
$675$	−58.2372	−	48.8669i	−2.24155	−	1.88089i
$676$	−10.1030	+	8.71116i	−0.388578	+	0.335044i
$677$			24.3601i			0.936236i	0.883666	+	0.468118i	$0.155068\pi$
$677$			24.3601i			0.936236i	−0.883666	+	0.468118i	$0.844932\pi$
$678$	−20.2286	−	7.20926i	−0.776874	−	0.276870i
$679$	−6.59333	−	12.2779i	−0.253029	−	0.471182i
$680$	−0.0372844	−	0.00580298i	−0.00142979	−	0.000222534i
$681$	−49.9196	−	18.1692i	−1.91292	−	0.696247i
$682$	9.11250	−	0.0611481i	0.348936	−	0.00234148i
$683$	14.8943	−	25.7976i	0.569914	−	0.987119i	−0.426660	−	0.904412i	$-0.640310\pi$
$683$	14.8943	−	25.7976i	0.569914	−	0.987119i	0.996574	−	0.0827072i	$-0.0263566\pi$
$684$	−65.9612	+	10.4146i	−2.52209	+	0.398214i
$685$	−0.589762			−0.0225337
$686$	11.1076	+	23.7196i	0.424090	+	0.905620i
$687$	−33.5194	+	28.1261i	−1.27884	+	1.07308i
$688$	−30.3350	−	34.2419i	−1.15651	−	1.30546i
$689$	−10.5718	+	8.87079i	−0.402753	+	0.337950i
$690$	0.0803697	−	0.0683624i	0.00305962	−	0.00260251i
$691$		−	5.24878i		−	0.199673i	−0.995004	−	0.0998364i	$-0.968168\pi$
$691$		−	5.24878i		−	0.199673i	0.995004	−	0.0998364i	$-0.0318319\pi$
$692$	13.4947	−	38.6840i	0.512992	−	1.47054i
$693$	23.5068	−	18.5221i	0.892949	−	0.703596i
$694$	6.04519	+	32.9880i	0.229472	+	1.25221i
$695$	−0.987649	−	0.570220i	−0.0374637	−	0.0216297i
$696$	−17.3729	+	0.349777i	−0.658518	+	0.0132583i
$697$	0.599062	+	1.64591i	0.0226911	+	0.0623432i
$698$	−10.9545	+	6.42298i	−0.414634	+	0.243113i
$699$	−23.2382	+	8.45803i	−0.878951	+	0.319912i
$700$	−9.47304	+	24.6847i	−0.358047	+	0.932995i
$701$	−4.25216	−	24.1152i	−0.160602	−	0.910818i	−0.953484	−	0.301443i	$-0.902532\pi$
$701$	−4.25216	−	24.1152i	−0.160602	−	0.910818i	0.792882	−	0.609375i	$-0.208579\pi$
$702$	−41.7026	−	34.5185i	−1.57396	−	1.30282i
$703$	1.20550	−	5.77212i	0.0454661	−	0.217700i
$704$	−0.475501	−	11.8039i	−0.0179211	−	0.444877i
$705$	1.15005	+	1.37057i	0.0433133	+	0.0516188i
$706$	−13.9006	−	7.90165i	−0.523158	−	0.297382i
$707$	−27.6335	−	35.0702i	−1.03926	−	1.31895i
$708$	9.47214	−	3.59226i	0.355985	−	0.135005i
$709$	3.97315	−	22.5329i	0.149215	−	0.846239i	−0.814671	−	0.579923i	$-0.803083\pi$
$709$	3.97315	−	22.5329i	0.149215	−	0.846239i	0.963886	−	0.266316i	$-0.0858064\pi$
$710$	0.516416	−	0.623895i	0.0193807	−	0.0234144i
$711$	84.4224			3.16609
$712$	−1.61567	+	10.3807i	−0.0605498	+	0.389035i
$713$	1.70798	+	0.301163i	0.0639645	+	0.0112787i
$714$	−2.63962	−	1.03336i	−0.0987851	−	0.0386724i
$715$	0.106802	−	0.184986i	0.00399416	−	0.00691809i
$716$	24.0234	+	40.3494i	0.897797	+	1.50793i
$717$	6.13752	+	7.31441i	0.229210	+	0.273162i
$718$	4.26675	+	23.2832i	0.159234	+	0.868922i
$719$	7.00878	−	19.2565i	0.261383	−	0.718144i	−0.737692	−	0.675138i	$-0.764084\pi$
$719$	7.00878	−	19.2565i	0.261383	−	0.718144i	0.999075	−	0.0430066i	$-0.0136937\pi$
$720$	1.76097	−	0.0472775i	0.0656273	−	0.00176193i
$721$	28.8144	+	6.00063i	1.07310	+	0.223475i
$722$	−10.5890	+	24.6956i	−0.394080	+	0.919076i
$723$	37.9431	−	21.9064i	1.41112	−	0.814710i
$724$	16.6991	+	44.0326i	0.620617	+	1.63646i
$725$	−9.25915	+	1.63264i	−0.343876	+	0.0606347i
$726$	13.6708	−	38.3591i	0.507370	−	1.42364i
$727$	10.8714	−	29.8689i	0.403197	−	1.10778i	−0.557500	−	0.830177i	$-0.688239\pi$
$727$	10.8714	−	29.8689i	0.403197	−	1.10778i	0.960697	−	0.277599i	$-0.0895386\pi$
$728$	−6.62754	+	17.6226i	−0.245633	+	0.653137i
$729$	−27.7306	+	48.0308i	−1.02706	+	1.77892i
$730$	0.973845	+	0.164985i	0.0360436	+	0.00610638i
$731$	1.70578	−	2.03288i	0.0630907	−	0.0751886i
$732$	35.3566	−	0.474532i	1.30682	−	0.0175392i
$733$	6.73348	−	11.6627i	0.248707	−	0.430773i	−0.714460	−	0.699676i	$-0.753328\pi$
$733$	6.73348	−	11.6627i	0.248707	−	0.430773i	0.963167	+	0.268903i	$0.0866611\pi$
$734$	0.367306	−	2.16807i	0.0135575	−	0.0800249i
$735$	0.725773	−	1.09538i	0.0267705	−	0.0404036i
$736$	0.315927	−	2.22604i	0.0116452	−	0.0820529i
$737$	−7.97130	+	9.49982i	−0.293627	+	0.349931i
$738$	−41.3601	−	70.5403i	−1.52249	−	2.59663i
$739$	2.78490	−	7.65146i	0.102444	−	0.281464i	−0.877872	−	0.478895i	$-0.841038\pi$
$739$	2.78490	−	7.65146i	0.102444	−	0.281464i	0.980317	+	0.197431i	$0.0632598\pi$
$740$	−0.0512358	+	0.146873i	−0.00188346	+	0.00539915i
$741$	−34.0141	+	11.1855i	−1.24954	+	0.410911i
$742$	7.48175	−	19.1115i	0.274664	−	0.701604i
$743$	−3.14892	−	17.8584i	−0.115523	−	0.655161i	−0.986490	−	0.163821i	$-0.947618\pi$
$743$	−3.14892	−	17.8584i	−0.115523	−	0.655161i	0.870967	−	0.491341i	$-0.163493\pi$
$744$	26.5182	+	30.3413i	0.972205	+	1.11236i
$745$	−0.109026	+	0.618319i	−0.00399441	+	0.0226534i
$746$	−21.1620	+	37.2283i	−0.774796	+	1.36303i
$747$	−129.664	−	22.8633i	−4.74417	−	0.836525i
$748$	0.673229	−	0.128047i	0.0246157	−	0.00468186i
$749$	12.2923	+	37.3078i	0.449151	+	1.36320i
$750$	2.61033	−	0.478355i	0.0953159	−	0.0174670i
$751$	29.7098	−	10.8135i	1.08413	−	0.394590i	0.262685	−	0.964882i	$-0.415392\pi$
$751$	29.7098	−	10.8135i	1.08413	−	0.394590i	0.821442	+	0.570292i	$0.193170\pi$
$752$	37.7101	+	5.61033i	1.37515	+	0.204588i
$753$	−33.6912	+	19.4516i	−1.22778	+	0.708857i
$754$	−6.58539	+	1.20680i	−0.239826	+	0.0439490i
$755$	−0.219141	−	0.0797607i	−0.00797535	−	0.00290279i
$756$	79.0310	+	15.3547i	2.87433	+	0.558445i
$757$	17.9638	−	15.0734i	0.652905	−	0.547852i	−0.255046	−	0.966929i	$-0.582091\pi$
$757$	17.9638	−	15.0734i	0.652905	−	0.547852i	0.907951	+	0.419077i	$0.137646\pi$
$758$	−7.55290	−	4.29335i	−0.274334	−	0.155942i
$759$	−0.958131	+	1.65953i	−0.0347780	+	0.0602372i
$760$	0.361282	−	0.609846i	0.0131051	−	0.0221214i
$761$	−11.4727	−	19.8713i	−0.415886	−	0.720336i	0.579635	−	0.814876i	$-0.303195\pi$
$761$	−11.4727	−	19.8713i	−0.415886	−	0.720336i	−0.995521	+	0.0945406i	$0.969862\pi$
$762$	1.60411	−	0.940543i	0.0581109	−	0.0340723i
$763$	10.1716	−	16.4283i	0.368237	−	0.594744i
$764$	−13.8085	−	7.72713i	−0.499573	−	0.279558i
$765$	0.0177451	+	0.100637i	0.000641576	+	0.00363856i
$766$	16.5119	+	19.4121i	0.596599	+	0.701386i
$767$	3.38028	−	1.95160i	0.122055	−	0.0704683i
$768$	38.1584	−	35.6777i	1.37692	−	1.28741i
$769$	−3.70425	+	21.0079i	−0.133579	+	0.757563i	0.842260	+	0.539071i	$0.181225\pi$
$769$	−3.70425	+	21.0079i	−0.133579	+	0.757563i	−0.975839	+	0.218491i	$0.929886\pi$
$770$	−0.00764670	+	0.317574i	−0.000275568	+	0.0114446i
$771$	43.4260	−	25.0720i	1.56395	−	0.902947i
$772$	8.52519	+	9.88736i	0.306828	+	0.355854i
$773$	−11.6943	−	32.1297i	−0.420613	−	1.15562i	−0.951357	−	0.308092i	$-0.900309\pi$
$773$	−11.6943	−	32.1297i	−0.420613	−	1.15562i	0.530744	−	0.847532i	$-0.321913\pi$
$774$	−61.2241	+	107.706i	−2.20065	+	3.87141i
$775$	16.7025	+	14.0150i	0.599970	+	0.503435i
$776$	2.88190	+	14.6171i	0.103454	+	0.524722i
$777$	−6.15160	+	9.93552i	−0.220687	+	0.356435i
$778$	6.88878	+	18.5387i	0.246975	+	0.664646i
$779$	−32.8868	−	1.03153i	−1.17829	−	0.0369584i
$780$	0.927924	−	0.176490i	0.0332250	−	0.00631934i
$781$	−5.03078	+	13.8219i	−0.180015	+	0.494588i
$782$	0.130423		0.000875185i	0.00466392		3.12966e-5i
$783$	9.79158	+	26.9021i	0.349922	+	0.961404i
$784$	−3.90182	−	27.7268i	−0.139351	−	0.990243i
$785$	0.983893	+	0.825584i	0.0351167	+	0.0294664i
$786$	60.3289	−	22.4175i	2.15186	−	0.799606i
$787$	22.7438			0.810729			0.405365	−	0.914155i	$-0.367145\pi$
$787$	22.7438			0.810729			0.405365	+	0.914155i	$0.367145\pi$
$788$	13.9028	−	0.186594i	0.495267	−	0.00664714i
$789$	−26.3651	−	72.4375i	−0.938622	−	2.57884i
$790$	−0.571391	+	0.690313i	−0.0203292	+	0.0245602i
$791$	11.6871	−	3.85070i	0.415545	−	0.136915i
$792$	−29.8377	+	11.5454i	−1.06024	+	0.410247i
$793$	13.4170	−	2.36577i	0.476450	−	0.0840110i
$794$	−3.79698	+	0.695812i	−0.134750	+	0.0246934i
$795$	−1.01401	+	0.178797i	−0.0359632	+	0.00634128i
$796$	−31.3459	−	5.09437i	−1.11103	−	0.180565i
$797$			48.5512i			1.71977i	0.510486	+	0.859886i	$0.329466\pi$
$797$			48.5512i			1.71977i	−0.510486	+	0.859886i	$0.670534\pi$
$798$	36.4358	−	38.8329i	1.28981	−	1.37467i
$799$			2.21163i			0.0782419i
$800$	17.4322	−	22.2500i	0.616321	−	0.786655i
$801$	28.0195	−	4.94060i	0.990022	−	0.174568i
$802$	−1.93856	−	10.5785i	−0.0684529	−	0.373541i
$803$	−17.6661	+	3.11501i	−0.623423	+	0.109926i
$804$	−54.8331	+	0.735932i	−1.93381	+	0.0259543i
$805$	−0.0123261	+	0.0591884i	−0.000434437	+	0.00208612i
$806$	11.9603	+	9.89991i	0.421285	+	0.348710i
$807$	−7.69780	−	21.1495i	−0.270976	−	0.744499i
$808$	17.2248	+	44.5155i	0.605966	+	1.56605i
$809$	20.7816			0.730641			0.365321	−	0.930882i	$-0.380959\pi$
$809$	20.7816			0.730641			0.365321	+	0.930882i	$0.380959\pi$
$810$	−0.756046	−	2.03464i	−0.0265648	−	0.0714898i
$811$	−12.4575	−	10.4530i	−0.437440	−	0.367056i	0.397310	−	0.917684i	$-0.369944\pi$
$811$	−12.4575	−	10.4530i	−0.437440	−	0.367056i	−0.834750	+	0.550628i	$0.814388\pi$
$812$	7.73726	−	6.26666i	0.271524	−	0.219917i
$813$	7.22208	+	19.8425i	0.253289	+	0.695907i
$814$	−0.0189569	−	2.82503i	−0.000664440	−	0.0990171i
$815$	−0.188383	+	0.517578i	−0.00659877	+	0.0181300i
$816$	2.37286	+	1.88490i	0.0830667	+	0.0659846i
$817$	23.5597	+	43.9323i	0.824249	+	1.53700i
$818$	−31.0055	+	11.5213i	−1.08408	+	0.402832i
$819$	50.9652	+	1.56941i	1.78087	+	0.0548397i
$820$	0.856735	+	0.139237i	0.0299185	+	0.00486238i
$821$	30.6208	+	25.6939i	1.06867	+	0.896725i	0.994932	−	0.100553i	$-0.0320611\pi$
$821$	30.6208	+	25.6939i	1.06867	+	0.896725i	0.0737430	+	0.997277i	$0.476506\pi$
$822$	41.1767	+	23.4064i	1.43620	+	0.816392i
$823$	4.24807	+	11.6715i	0.148078	+	0.406842i	0.991450	−	0.130489i	$-0.0416548\pi$
$823$	4.24807	+	11.6715i	0.148078	+	0.406842i	−0.843371	+	0.537331i	$0.819433\pi$
$824$	−27.5604	−	15.1807i	−0.960112	−	0.528843i
$825$	−20.8632	+	12.0454i	−0.726362	+	0.419365i
$826$	−3.02254	+	4.95574i	−0.105168	+	0.172432i
$827$	−4.39256	+	24.9115i	−0.152744	+	0.866257i	0.808075	+	0.589080i	$0.200510\pi$
$827$	−4.39256	+	24.9115i	−0.152744	+	0.866257i	−0.960819	+	0.277177i	$0.910601\pi$
$828$	−5.98177	+	1.13772i	−0.207881	+	0.0395386i
$829$	−2.06463	+	1.19201i	−0.0717075	+	0.0414003i	−0.535425	−	0.844583i	$-0.679849\pi$
$829$	−2.06463	+	1.19201i	−0.0717075	+	0.0414003i	0.463718	+	0.885983i	$0.346515\pi$
$830$	1.06455	−	0.905506i	0.0369511	−	0.0314306i
$831$	14.0046	+	79.4240i	0.485814	+	2.75519i
$832$	12.3067	−	15.9269i	0.426657	−	0.552165i
$833$	1.55761	−	0.460568i	0.0539679	−	0.0159578i
$834$	46.3261	+	79.0100i	1.60414	+	2.73589i
$835$	−0.121390	−	0.210254i	−0.00420087	−	0.00727612i
$836$	−2.46246	+	12.6357i	−0.0851660	+	0.437016i
$837$	33.1954	−	57.4961i	1.14740	−	1.98736i
$838$	−18.5012	+	32.5475i	−0.639113	+	1.12433i
$839$	−25.9529	+	21.7771i	−0.895994	+	0.751828i	−0.969403	−	0.245474i	$-0.921057\pi$
$839$	−25.9529	+	21.7771i	−0.895994	+	0.751828i	0.0734092	+	0.997302i	$0.476612\pi$
$840$	−1.08564	+	0.891425i	−0.0374581	+	0.0307571i
$841$	−23.9240	−	8.70764i	−0.824967	−	0.300263i
$842$	7.52981	+	41.0894i	0.259494	+	1.41604i
$843$	43.6294	−	25.1894i	1.50268	−	0.867570i
$844$	4.94428	−	4.26311i	0.170189	−	0.146742i
$845$	−0.360355	+	0.131158i	−0.0123966	+	0.00451199i
$846$	−18.6113	−	101.560i	−0.639869	−	3.49170i
$847$	7.30201	+	22.1620i	0.250900	+	0.761494i
$848$	−13.6471	+	17.1801i	−0.468644	+	0.589967i
$849$	32.4685	+	5.72507i	1.11432	+	0.196484i
$850$	1.42547	+	0.810293i	0.0488933	+	0.0277928i
$851$	0.0933657	−	0.529503i	0.00320054	−	0.0181511i
$852$	−60.8168	+	23.0644i	−2.08355	+	0.790174i
$853$	6.87074	+	38.9659i	0.235250	+	1.33417i	0.842087	+	0.539341i	$0.181327\pi$
$853$	6.87074	+	38.9659i	0.235250	+	1.33417i	−0.606838	+	0.794826i	$0.707562\pi$
$854$	−15.8300	+	12.6462i	−0.541690	+	0.432746i
$855$	−1.87912	−	0.392450i	−0.0642644	−	0.0134215i
$856$	−0.845290	−	41.9843i	−0.0288914	−	1.43499i
$857$	11.4698	−	31.5131i	0.391802	−	1.07647i	−0.574376	−	0.818591i	$-0.694755\pi$
$857$	11.4698	−	31.5131i	0.391802	−	1.07647i	0.966178	−	0.257875i	$-0.0830224\pi$
$858$	−14.7985	+	8.67686i	−0.505214	+	0.296223i
$859$	10.4184	−	12.4162i	0.355472	−	0.423635i	−0.558442	−	0.829544i	$-0.688601\pi$
$859$	10.4184	−	12.4162i	0.355472	−	0.423635i	0.913914	+	0.405909i	$0.133045\pi$
$860$	−0.466319	−	1.22960i	−0.0159014	−	0.0419291i
$861$	60.5580	+	24.1771i	2.06381	+	0.823953i
$862$	48.2692	+	8.17759i	1.64406	+	0.278530i
$863$	19.1020	−	33.0857i	0.650241	−	1.12625i	−0.332824	−	0.942989i	$-0.608001\pi$
$863$	19.1020	−	33.0857i	0.650241	−	1.12625i	0.983064	−	0.183261i	$-0.0586653\pi$
$864$	−75.9382	−	40.5092i	−2.58347	−	1.37815i
$865$	0.757050	−	0.902217i	0.0257405	−	0.0306763i
$866$	2.70456	−	15.9640i	0.0919048	−	0.542480i
$867$	27.6643	−	47.9160i	0.939529	−	1.62731i
$868$	−22.6661	−	4.40374i	−0.769338	−	0.149473i
$869$	5.56634	−	15.2934i	0.188825	−	0.518792i
$870$	−0.470527	−	0.167691i	−0.0159524	−	0.00568525i
$871$	−20.8078	+	3.66898i	−0.705046	+	0.124319i
$872$	−15.5532	+	13.5935i	−0.526699	+	0.460334i
$873$	34.9426	−	20.1741i	1.18263	−	0.682790i
$874$	−0.894458	+	2.28097i	−0.0302555	+	0.0771550i
$875$	−1.01283	+	1.13423i	−0.0342400	+	0.0383441i
$876$	−61.4452	−	50.1690i	−2.07604	−	1.69505i
$877$	−13.1724	+	36.1908i	−0.444800	+	1.22208i	0.491500	+	0.870877i	$0.336449\pi$
$877$	−13.1724	+	36.1908i	−0.444800	+	1.22208i	−0.936300	+	0.351200i	$0.885774\pi$
$878$	−34.0249	+	6.23521i	−1.14829	+	0.210428i
$879$	−31.4513	−	37.4822i	−1.06082	−	1.26424i
$880$	0.107544	−	0.322121i	0.00362529	−	0.0108587i
$881$	6.32596	−	10.9569i	0.213127	−	0.369147i	−0.739564	−	0.673086i	$-0.764968\pi$
$881$	6.32596	−	10.9569i	0.213127	−	0.369147i	0.952692	+	0.303939i	$0.0983018\pi$
$882$	−67.6509	+	34.2573i	−2.27792	+	1.15350i
$883$	−25.4481	−	4.48718i	−0.856396	−	0.151006i	−0.271824	−	0.962347i	$-0.587627\pi$
$883$	−25.4481	−	4.48718i	−0.856396	−	0.151006i	−0.584573	+	0.811341i	$0.698738\pi$
$884$	1.01891	+	0.570176i	0.0342697	+	0.0191771i
$885$	0.291217			0.00978916
$886$	−17.3205	−	14.3367i	−0.581895	−	0.481651i
$887$	0.973406	−	5.52046i	0.0326838	−	0.185359i	−0.964095	−	0.265557i	$-0.914444\pi$
$887$	0.973406	−	5.52046i	0.0326838	−	0.185359i	0.996779	+	0.0801981i	$0.0255553\pi$
$888$	9.40630	−	8.22109i	0.315655	−	0.275882i
$889$	−0.395069	+	0.989556i	−0.0132502	+	0.0331886i
$890$	−0.149244	+	0.262552i	−0.00500268	+	0.00880075i
$891$	25.3393	+	30.1982i	0.848899	+	1.01168i
$892$	3.73636	+	19.6445i	0.125102	+	0.657747i
$893$	−38.5757	−	15.4265i	−1.29089	−	0.516228i
$894$	32.1519	−	38.8435i	1.07532	−	1.29912i
$895$	0.234414	+	1.32943i	0.00783558	+	0.0444378i
$896$	−4.72001	+	29.5588i	−0.157684	+	0.987490i
$897$	−3.06799	+	1.11666i	−0.102437	+	0.0372841i
$898$	14.6167	+	24.9290i	0.487765	+	0.831892i
$899$	−2.80823	−	7.71555i	−0.0936597	−	0.257328i
$900$	−72.2777	−	25.2137i	−2.40926	−	0.840457i
$901$	−1.10226	−	0.636391i	−0.0367217	−	0.0212013i
$902$	−15.5056	+	2.84147i	−0.516281	+	0.0946107i
$903$	−14.1524	−	97.7734i	−0.470963	−	3.25369i
$904$	−13.1521	+	0.264797i	−0.437431	+	0.00880701i
$905$			1.35376i			0.0450006i
$906$	12.1347	+	14.2661i	0.403148	+	0.473958i
$907$	33.0931	−	27.7684i	1.09884	−	0.922034i	0.101491	−	0.994836i	$-0.467639\pi$
$907$	33.0931	−	27.7684i	1.09884	−	0.922034i	0.997346	+	0.0728026i	$0.0231943\pi$
$908$	−32.5385	+	0.436710i	−1.07983	+	0.0144927i
$909$	99.0250	−	83.0918i	3.28445	−	2.75598i
$910$	−0.357778	+	0.406114i	−0.0118602	+	0.0134626i
$911$	15.6211			0.517551			0.258775	−	0.965938i	$-0.416681\pi$
$911$	15.6211			0.517551			0.258775	+	0.965938i	$0.416681\pi$
$912$	−49.4279	+	28.2404i	−1.63672	+	0.935134i
$913$	−12.6911	+	21.9816i	−0.420014	+	0.727485i
$914$	−0.121733	−	18.1411i	−0.00402658	−	0.600054i
$915$	0.955177	+	0.347656i	0.0315772	+	0.0114931i
$916$	−13.0891	+	23.3904i	−0.432475	+	0.772839i
$917$	−19.4132	+	31.3546i	−0.641082	+	1.03542i
$918$	1.67610	−	4.70301i	0.0553196	−	0.155222i
$919$			55.2208i			1.82157i	0.412884	+	0.910784i	$0.364521\pi$
$919$			55.2208i			1.82157i	−0.412884	+	0.910784i	$0.635479\pi$
$920$	0.0311831	−	0.0566127i	0.00102807	−	0.00186646i
$921$	22.3909	+	18.7882i	0.737804	+	0.619091i
$922$	35.6215	+	41.8781i	1.17313	+	1.37918i
$923$	−21.7034	+	12.5305i	−0.714376	+	0.412445i
$924$	13.1377	−	21.8693i	0.432200	−	0.719447i
$925$	4.34490	−	5.17805i	0.142859	−	0.170253i
$926$	−12.7491	−	21.7438i	−0.418961	−	0.714545i
$927$	−14.7971	+	83.9187i	−0.486002	+	2.75625i
$928$	−9.87450	+	3.97400i	−0.324146	+	0.130453i
$929$	−15.6447	+	13.1275i	−0.513286	+	0.430698i	−0.862284	−	0.506425i	$-0.830967\pi$
$929$	−15.6447	+	13.1275i	−0.513286	+	0.430698i	0.348998	+	0.937124i	$0.386522\pi$
$930$	0.403489	+	1.08585i	0.0132309	+	0.0356065i
$931$	−2.83124	+	30.3807i	−0.0927902	+	0.995686i
$932$	−11.4727	+	9.89211i	−0.375800	+	0.324027i
$933$	26.9370	+	32.1023i	0.881878	+	1.05098i
$934$	6.39091	+	10.8998i	0.209117	+	0.356653i
$935$	0.0194008	+	0.00342088i	0.000634474	+	0.000111875i
$936$	−51.5875	−	17.6086i	−1.68619	−	0.575556i
$937$	−34.8944	−	29.2799i	−1.13995	−	0.956533i	−0.140514	−	0.990079i	$-0.544876\pi$
$937$	−34.8944	−	29.2799i	−1.13995	−	0.956533i	−0.999437	+	0.0335460i	$0.989320\pi$
$938$	24.5501	−	19.6126i	0.801588	−	0.640373i
$939$	−4.79067	−	8.29768i	−0.156338	−	0.270785i
$940$	0.956410	+	0.535200i	0.0311947	+	0.0174563i
$941$	−18.5829	+	22.1463i	−0.605786	+	0.721948i	−0.978557	−	0.205976i	$-0.933963\pi$
$941$	−18.5829	+	22.1463i	−0.605786	+	0.721948i	0.372771	+	0.927923i	$0.378408\pi$
$942$	−35.9290	−	96.6903i	−1.17063	−	3.15034i
$943$	−3.00018			−0.0976992
$944$	4.64496	−	4.11499i	0.151180	−	0.133931i
$945$	1.96773	+	1.21832i	0.0640103	+	0.0396321i
$946$	15.4745	+	18.1924i	0.503119	+	0.591487i
$947$	−3.28266	+	9.01902i	−0.106672	+	0.293079i	−0.981532	−	0.191296i	$-0.938731\pi$
$947$	−3.28266	+	9.01902i	−0.106672	+	0.293079i	0.874860	+	0.484375i	$0.160953\pi$
$948$	67.2911	−	25.5198i	2.18551	−	0.828844i
$949$	−26.4688	−	15.2817i	−0.859212	−	0.496066i
$950$	−24.0762	+	19.2115i	−0.781135	+	0.623302i
$951$			96.1569i			3.11810i
$952$	−1.73632	−	0.0184983i	−0.0562745	−	0.000599532i
$953$	4.35316	+	5.18789i	0.141013	+	0.168052i	0.831928	−	0.554883i	$-0.187237\pi$
$953$	4.35316	+	5.18789i	0.141013	+	0.168052i	−0.690916	+	0.722935i	$0.742792\pi$
$954$	55.9722	+	19.9479i	1.81217	+	0.645837i
$955$	−0.292387	−	0.348453i	−0.00946143	−	0.0112757i
$956$	5.10412	+	2.85623i	0.165079	+	0.0923770i
$957$	9.07201			0.293257
$958$	10.4658	+	8.66287i	0.338136	+	0.279885i
$959$	−26.8599	+	3.88790i	−0.867352	+	0.125547i
$960$	1.38933	−	0.570000i	0.0448405	−	0.0183967i
$961$	5.97954	−	10.3569i	0.192888	−	0.334093i
$962$	3.06914	−	3.70791i	0.0989530	−	0.119548i
$963$	−106.867	+	38.8965i	−3.44375	+	1.25342i
$964$	16.9738	−	20.7889i	0.546689	−	0.669566i
$965$	0.128359	+	0.352662i	0.00413201	+	0.0113526i
$966$	3.20966	−	3.64329i	0.103269	−	0.117221i
$967$	33.9669	−	5.98928i	1.09230	−	0.192602i	0.401653	−	0.915792i	$-0.368436\pi$
$967$	33.9669	−	5.98928i	1.09230	−	0.192602i	0.690650	+	0.723190i	$0.257325\pi$
$968$	−0.502128	−	24.9400i	−0.0161390	−	0.801601i
$969$	−2.04233	−	2.59501i	−0.0656090	−	0.0833638i
$970$	−0.0715385	+	0.422265i	−0.00229696	+	0.0135581i
$971$	−16.2095	+	13.6014i	−0.520189	+	0.436490i	−0.864698	−	0.502293i	$-0.832490\pi$
$971$	−16.2095	+	13.6014i	−0.520189	+	0.436490i	0.344509	+	0.938783i	$0.388045\pi$
$972$	−13.3196	+	81.9564i	−0.427228	+	2.62875i
$973$	−48.7402	−	19.4590i	−1.56254	−	0.623826i
$974$	−0.0702802	−	10.4734i	−0.00225192	−	0.335589i
$975$	−40.4217	−	7.12744i	−1.29453	−	0.228261i
$976$	20.1477	−	7.95178i	0.644912	−	0.254530i
$977$			20.8281i			0.666349i	0.942865	+	0.333174i	$0.108120\pi$
$977$			20.8281i			0.666349i	−0.942865	+	0.333174i	$0.891880\pi$
$978$	33.6943	−	28.6604i	1.07743	−	0.916457i
$979$	0.952444	−	5.40158i	0.0304403	−	0.172635i
$980$	0.177760	−	0.785035i	0.00567833	−	0.0250770i
$981$	48.4472	+	27.9710i	1.54680	+	0.893045i
$982$	−3.68365	−	20.1013i	−0.117550	−	0.641459i
$983$	−14.1744	+	11.8937i	−0.452093	+	0.379351i	−0.840212	−	0.542258i	$-0.817569\pi$
$983$	−14.1744	+	11.8937i	−0.452093	+	0.379351i	0.388119	+	0.921609i	$0.373125\pi$
$984$	−54.2905	−	43.7234i	−1.73072	−	1.39385i
$985$	0.375592	+	0.136704i	0.0119674	+	0.00435576i
$986$	−0.312314	−	0.532657i	−0.00994611	−	0.0169633i
$987$	61.4127	+	54.8395i	1.95479	+	1.74556i
$988$	−17.0522	+	13.7950i	−0.542503	+	0.438878i
$989$	2.27276	+	3.93654i	0.0722696	+	0.125175i
$990$	−0.919688	+	0.00617144i	−0.0292296	+	0.000196141i
$991$	−8.86136	−	50.2553i	−0.281490	−	1.59641i	−0.717559	−	0.696498i	$-0.754741\pi$
$991$	−8.86136	−	50.2553i	−0.281490	−	1.59641i	0.436069	−	0.899913i	$-0.356370\pi$
$992$	21.7791	+	11.6181i	0.691488	+	0.368874i
$993$	−86.6752	−	31.5472i	−2.75055	−	1.00112i
$994$	19.4065	−	31.8188i	0.615538	−	1.00923i
$995$	−0.790609	−	0.456458i	−0.0250640	−	0.0144707i
$996$	−110.264	+	20.9720i	−3.49384	+	0.664523i
$997$	8.21298	+	6.89151i	0.260108	+	0.218256i	0.763510	−	0.645796i	$-0.223474\pi$
$997$	8.21298	+	6.89151i	0.260108	+	0.218256i	−0.503403	+	0.864052i	$0.667919\pi$
$998$	18.5899	+	6.62525i	0.588454	+	0.209719i
$999$	−17.8248	−	10.2911i	−0.563951	−	0.325597i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	532.2.bs.a.67.12	✓	456
4.3	odd	2	inner	532.2.bs.a.67.31	yes	456
7.2	even	3		532.2.ce.a.219.40	yes	456
19.2	odd	18		532.2.ce.a.515.20	yes	456
28.23	odd	6		532.2.ce.a.219.20	yes	456
76.59	even	18		532.2.ce.a.515.40	yes	456
133.2	odd	18	inner	532.2.bs.a.135.31	yes	456
532.135	even	18	inner	532.2.bs.a.135.12	yes	456

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
532.2.bs.a.67.12	✓	456	1.1	even	1	trivial
532.2.bs.a.67.31	yes	456	4.3	odd	2	inner
532.2.bs.a.135.12	yes	456	532.135	even	18	inner
532.2.bs.a.135.31	yes	456	133.2	odd	18	inner
532.2.ce.a.219.20	yes	456	28.23	odd	6
532.2.ce.a.219.40	yes	456	7.2	even	3
532.2.ce.a.515.20	yes	456	19.2	odd	18
532.2.ce.a.515.40	yes	456	76.59	even	18

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:	\( N \)	\(=\)	\( 532 = 2^{2} \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	532.bs (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.22946 - 0.698873i) q^{2} +(0.566955 + 3.21536i) q^{3} +(1.02315 + 1.71847i) q^{4} +(0.00998364 + 0.0566200i) q^{5} +(1.55008 - 4.34940i) q^{6} +(0.827948 + 2.51287i) q^{7} +(-0.0569346 - 2.82785i) q^{8} +(-7.19804 + 2.61987i) q^{9} +O(q^{10})\)	\(q+(-1.22946 - 0.698873i) q^{2} +(0.566955 + 3.21536i) q^{3} +(1.02315 + 1.71847i) q^{4} +(0.00998364 + 0.0566200i) q^{5} +(1.55008 - 4.34940i) q^{6} +(0.827948 + 2.51287i) q^{7} +(-0.0569346 - 2.82785i) q^{8} +(-7.19804 + 2.61987i) q^{9} +(0.0272957 - 0.0765895i) q^{10} +1.47669i q^{11} +(-4.94544 + 4.26411i) q^{12} +(-1.61722 + 1.92733i) q^{13} +(0.738243 - 3.66811i) q^{14} +(-0.176394 + 0.0642021i) q^{15} +(-1.90631 + 3.51653i) q^{16} +(-0.218045 - 0.0793620i) q^{17} +(10.6807 + 1.80948i) q^{18} +(2.90515 - 3.24963i) q^{19} +(-0.0870853 + 0.0750877i) q^{20} +(-7.61037 + 4.08684i) q^{21} +(1.03202 - 1.81553i) q^{22} +(0.255479 - 0.304468i) q^{23} +(9.06030 - 1.78633i) q^{24} +(4.69536 - 1.70897i) q^{25} +(3.33527 - 1.23935i) q^{26} +(-7.60736 - 13.1763i) q^{27} +(-3.47118 + 3.99386i) q^{28} +(-1.85306 - 0.326744i) q^{29} +(0.261738 + 0.0443427i) q^{30} +(2.18179 + 3.77898i) q^{31} +(4.80134 - 2.99117i) q^{32} +(-4.74808 + 0.837215i) q^{33} +(0.212615 + 0.249959i) q^{34} +(-0.134013 + 0.0719660i) q^{35} +(-11.8669 - 9.68912i) q^{36} +(1.17155 - 0.676393i) q^{37} +(-5.84285 + 1.96497i) q^{38} +(-7.11395 - 4.10724i) q^{39} +(0.159545 - 0.0314559i) q^{40} +(-4.85206 - 5.78246i) q^{41} +(12.2128 + 0.294066i) q^{42} +(-3.91154 + 10.7469i) q^{43} +(-2.53765 + 1.51088i) q^{44} +(-0.220200 - 0.381398i) q^{45} +(-0.526887 + 0.195785i) q^{46} +(-3.25989 - 8.95648i) q^{47} +(-12.3877 - 4.13577i) q^{48} +(-5.62900 + 4.16105i) q^{49} +(-6.96712 - 1.18034i) q^{50} +(0.131556 - 0.746090i) q^{51} +(-4.96673 - 0.807199i) q^{52} +(5.40187 + 0.952496i) q^{53} +(0.144383 + 21.5164i) q^{54} +(-0.0836100 + 0.0147427i) q^{55} +(7.05888 - 2.48439i) q^{56} +(12.0958 + 7.49872i) q^{57} +(2.04991 + 1.69677i) q^{58} +(-1.45783 - 0.530605i) q^{59} +(-0.290808 - 0.237439i) q^{60} +(-4.14815 - 3.48071i) q^{61} +(-0.0414090 - 6.17091i) q^{62} +(-12.5430 - 15.9186i) q^{63} +(-7.99352 + 0.322005i) q^{64} +(-0.125271 - 0.0723253i) q^{65} +(6.42269 + 2.28898i) q^{66} +(6.43320 + 5.39810i) q^{67} +(-0.0867124 - 0.455905i) q^{68} +(1.12382 + 0.648839i) q^{69} +(0.215059 + 0.00517828i) q^{70} +(9.36011 + 3.40680i) q^{71} +(7.81844 + 20.2059i) q^{72} +(2.10946 + 11.9633i) q^{73} +(-1.91309 + 0.0128375i) q^{74} +(8.15702 + 14.1284i) q^{75} +(8.55682 + 1.66756i) q^{76} +(-3.71072 + 1.22262i) q^{77} +(5.87590 + 10.0214i) q^{78} +(-10.3566 - 3.76948i) q^{79} +(-0.218138 - 0.0728276i) q^{80} +(20.4500 - 17.1596i) q^{81} +(1.92422 + 10.5003i) q^{82} +(14.8858 + 8.59430i) q^{83} +(-14.8097 - 8.89676i) q^{84} +(0.00231659 - 0.0131381i) q^{85} +(12.3198 - 10.4792i) q^{86} -6.14349i q^{87} +(4.17585 - 0.0840745i) q^{88} +(-3.65791 - 0.644988i) q^{89} +(0.00417925 + 0.622806i) q^{90} +(-6.18210 - 2.46813i) q^{91} +(0.784616 + 0.127517i) q^{92} +(-10.9138 + 9.15777i) q^{93} +(-2.25152 + 13.2899i) q^{94} +(0.212998 + 0.132047i) q^{95} +(12.3398 + 13.7422i) q^{96} +(-5.18737 + 0.914674i) q^{97} +(9.82869 - 1.18190i) q^{98} +(-3.86873 - 10.6293i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 456 q - 3 q^{2} - 3 q^{4} - 6 q^{5} - 12 q^{6} - 18 q^{8} - 6 q^{9}+O(q^{10}) \) 456 * q - 3 * q^2 - 3 * q^4 - 6 * q^5 - 12 * q^6 - 18 * q^8 - 6 * q^9	\( 456 q - 3 q^{2} - 3 q^{4} - 6 q^{5} - 12 q^{6} - 18 q^{8} - 6 q^{9} + 15 q^{10} - 36 q^{13} + 15 q^{14} - 3 q^{16} - 6 q^{17} - 24 q^{20} - 18 q^{21} - 6 q^{22} - 12 q^{24} - 6 q^{25} - 6 q^{26} - 27 q^{28} - 24 q^{29} + 3 q^{30} + 12 q^{32} + 66 q^{33} - 12 q^{34} - 81 q^{36} - 72 q^{38} - 33 q^{40} - 36 q^{41} - 87 q^{42} + 12 q^{44} + 6 q^{45} - 45 q^{48} - 6 q^{49} - 45 q^{50} - 3 q^{52} + 6 q^{53} - 39 q^{54} - 24 q^{57} - 42 q^{58} + 66 q^{60} - 18 q^{61} + 3 q^{62} - 6 q^{64} + 18 q^{65} + 75 q^{66} - 39 q^{68} - 36 q^{69} + 9 q^{70} - 54 q^{72} + 30 q^{73} - 57 q^{74} - 84 q^{76} - 18 q^{77} - 9 q^{78} - 3 q^{80} - 24 q^{81} + 117 q^{82} - 9 q^{84} - 78 q^{86} - 9 q^{88} - 30 q^{89} - 48 q^{90} + 30 q^{92} + 42 q^{93} - 57 q^{96} - 24 q^{97} + 60 q^{98}+O(q^{100}) \) 456 * q - 3 * q^2 - 3 * q^4 - 6 * q^5 - 12 * q^6 - 18 * q^8 - 6 * q^9 + 15 * q^10 - 36 * q^13 + 15 * q^14 - 3 * q^16 - 6 * q^17 - 24 * q^20 - 18 * q^21 - 6 * q^22 - 12 * q^24 - 6 * q^25 - 6 * q^26 - 27 * q^28 - 24 * q^29 + 3 * q^30 + 12 * q^32 + 66 * q^33 - 12 * q^34 - 81 * q^36 - 72 * q^38 - 33 * q^40 - 36 * q^41 - 87 * q^42 + 12 * q^44 + 6 * q^45 - 45 * q^48 - 6 * q^49 - 45 * q^50 - 3 * q^52 + 6 * q^53 - 39 * q^54 - 24 * q^57 - 42 * q^58 + 66 * q^60 - 18 * q^61 + 3 * q^62 - 6 * q^64 + 18 * q^65 + 75 * q^66 - 39 * q^68 - 36 * q^69 + 9 * q^70 - 54 * q^72 + 30 * q^73 - 57 * q^74 - 84 * q^76 - 18 * q^77 - 9 * q^78 - 3 * q^80 - 24 * q^81 + 117 * q^82 - 9 * q^84 - 78 * q^86 - 9 * q^88 - 30 * q^89 - 48 * q^90 + 30 * q^92 + 42 * q^93 - 57 * q^96 - 24 * q^97 + 60 * q^98

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