LMFDB - Embedded newform 532.2.bs.a.67.19

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			67.19
Character	$\chi$	$=$	532.67
Dual form			532.2.bs.a.135.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.10346 + 0.884521i) q^{2} +(-0.284110 - 1.61127i) q^{3} +(0.435244 - 1.95207i) q^{4} +(-0.438232 - 2.48534i) q^{5} +(1.73871 + 1.52667i) q^{6} +(2.26054 - 1.37476i) q^{7} +(1.24637 + 2.53901i) q^{8} +(0.303610 - 0.110505i) q^{9} +O(q^{10})$	\(q+(-1.10346 + 0.884521i) q^{2} +(-0.284110 - 1.61127i) q^{3} +(0.435244 - 1.95207i) q^{4} +(-0.438232 - 2.48534i) q^{5} +(1.73871 + 1.52667i) q^{6} +(2.26054 - 1.37476i) q^{7} +(1.24637 + 2.53901i) q^{8} +(0.303610 - 0.110505i) q^{9} +(2.68191 + 2.35484i) q^{10} +1.88249i q^{11} +(-3.26896 - 0.146694i) q^{12} +(4.01464 - 4.78446i) q^{13} +(-1.27841 + 3.51648i) q^{14} +(-3.88004 + 1.41222i) q^{15} +(-3.62112 - 1.69925i) q^{16} +(3.08701 + 1.12358i) q^{17} +(-0.237277 + 0.390487i) q^{18} +(0.916519 + 4.26145i) q^{19} +(-5.04228 - 0.226271i) q^{20} +(-2.85734 - 3.25176i) q^{21} +(-1.66510 - 2.07725i) q^{22} +(-0.301282 + 0.359053i) q^{23} +(3.73692 - 2.72959i) q^{24} +(-1.28640 + 0.468210i) q^{25} +(-0.198033 + 8.83049i) q^{26} +(-2.71850 - 4.70858i) q^{27} +(-1.69973 - 5.01108i) q^{28} +(-5.19309 - 0.915682i) q^{29} +(3.03233 - 4.99031i) q^{30} +(-4.36534 - 7.56099i) q^{31} +(5.49879 - 1.32791i) q^{32} +(3.03320 - 0.534834i) q^{33} +(-4.40022 + 1.49070i) q^{34} +(-4.40737 - 5.01575i) q^{35} +(-0.0835685 - 0.640763i) q^{36} +(-8.39581 + 4.84732i) q^{37} +(-4.78069 - 3.89166i) q^{38} +(-8.84965 - 5.10935i) q^{39} +(5.76409 - 4.21033i) q^{40} +(4.94982 + 5.89896i) q^{41} +(6.02921 + 1.06080i) q^{42} +(1.66164 - 4.56533i) q^{43} +(3.67474 + 0.819343i) q^{44} +(-0.407694 - 0.706146i) q^{45} +(0.0148615 - 0.662691i) q^{46} +(3.56968 + 9.80762i) q^{47} +(-1.70915 + 6.31738i) q^{48} +(3.22010 - 6.21538i) q^{49} +(1.00534 - 1.65449i) q^{50} +(0.933339 - 5.29323i) q^{51} +(-7.59223 - 9.91925i) q^{52} +(1.46812 + 0.258869i) q^{53} +(7.16459 + 2.79115i) q^{54} +(4.67862 - 0.824967i) q^{55} +(6.30799 + 4.02608i) q^{56} +(6.60596 - 2.68748i) q^{57} +(6.54030 - 3.58298i) q^{58} +(-7.66876 - 2.79120i) q^{59} +(1.06798 + 8.18876i) q^{60} +(0.564931 + 0.474033i) q^{61} +(11.5048 + 4.48201i) q^{62} +(0.534405 - 0.667190i) q^{63} +(-4.89312 + 6.32909i) q^{64} +(-13.6503 - 7.88103i) q^{65} +(-2.87394 + 3.27309i) q^{66} +(8.15613 + 6.84381i) q^{67} +(3.53691 - 5.53702i) q^{68} +(0.664129 + 0.383435i) q^{69} +(9.29989 + 1.63626i) q^{70} +(-8.39867 - 3.05687i) q^{71} +(0.658983 + 0.633138i) q^{72} +(1.96150 + 11.1242i) q^{73} +(4.97687 - 12.7751i) q^{74} +(1.11989 + 1.93971i) q^{75} +(8.71755 + 0.0656678i) q^{76} +(2.58796 + 4.25545i) q^{77} +(14.2846 - 2.18975i) q^{78} +(4.51473 + 1.64323i) q^{79} +(-2.63632 + 9.74439i) q^{80} +(-6.07192 + 5.09494i) q^{81} +(-10.6797 - 2.13105i) q^{82} +(-7.02189 - 4.05409i) q^{83} +(-7.59129 + 4.16241i) q^{84} +(1.43965 - 8.16466i) q^{85} +(2.20457 + 6.50741i) q^{86} +8.62761i q^{87} +(-4.77966 + 2.34628i) q^{88} +(8.96799 + 1.58130i) q^{89} +(1.07447 + 0.418590i) q^{90} +(2.49780 - 16.3346i) q^{91} +(0.569765 + 0.744398i) q^{92} +(-10.9425 + 9.18189i) q^{93} +(-12.6140 - 7.66485i) q^{94} +(10.1895 - 4.14537i) q^{95} +(-3.70188 - 8.48275i) q^{96} +(-14.4910 + 2.55516i) q^{97} +(1.94439 + 9.70666i) q^{98} +(0.208024 + 0.571542i) 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 $

$2$	−1.10346	+	0.884521i	−0.780263	+	0.625451i
$2$	−1.10346	+	0.884521i	−0.780263	+	0.625451i
$3$	−0.284110	−	1.61127i	−0.164031	−	0.930266i	−0.950058	−	0.312074i	$-0.898976\pi$
$3$	−0.284110	−	1.61127i	−0.164031	−	0.930266i	0.786027	−	0.618192i	$-0.212135\pi$
$4$	0.435244	−	1.95207i	0.217622	−	0.976033i
$5$	−0.438232	−	2.48534i	−0.195983	−	1.11148i	−0.911011	−	0.412381i	$-0.864697\pi$
$5$	−0.438232	−	2.48534i	−0.195983	−	1.11148i	0.715028	−	0.699096i	$-0.246414\pi$
$6$	1.73871	+	1.52667i	0.709823	+	0.623259i
$7$	2.26054	−	1.37476i	0.854404	−	0.519609i
$7$	2.26054	−	1.37476i	0.854404	−	0.519609i
$8$	1.24637	+	2.53901i	0.440658	+	0.897675i
$9$	0.303610	−	0.110505i	0.101203	−	0.0368350i
$10$	2.68191	+	2.35484i	0.848093	+	0.744667i
$11$			1.88249i			0.567592i	0.958885	+	0.283796i	$0.0915938\pi$
$11$			1.88249i			0.567592i	−0.958885	+	0.283796i	$0.908406\pi$
$12$	−3.26896	−	0.146694i	−0.943668	−	0.0423468i
$13$	4.01464	−	4.78446i	1.11346	−	1.32697i	0.173831	−	0.984775i	$-0.444385\pi$
$13$	4.01464	−	4.78446i	1.11346	−	1.32697i	0.939629	−	0.342195i	$-0.111170\pi$
$14$	−1.27841	+	3.51648i	−0.341671	+	0.939820i
$15$	−3.88004	+	1.41222i	−1.00182	+	0.364634i
$16$	−3.62112	−	1.69925i	−0.905281	−	0.424813i
$17$	3.08701	+	1.12358i	0.748711	+	0.272508i	0.688063	−	0.725651i	$-0.258461\pi$
$17$	3.08701	+	1.12358i	0.748711	+	0.272508i	0.0606475	+	0.998159i	$0.480683\pi$
$18$	−0.237277	+	0.390487i	−0.0559267	+	0.0920386i
$19$	0.916519	+	4.26145i	0.210264	+	0.977645i
$19$	0.916519	+	4.26145i	0.210264	+	0.977645i
$20$	−5.04228	−	0.226271i	−1.12749	−	0.0505957i
$21$	−2.85734	−	3.25176i	−0.623523	−	0.709592i
$22$	−1.66510	−	2.07725i	−0.355001	−	0.442871i
$23$	−0.301282	+	0.359053i	−0.0628216	+	0.0748678i	−0.796540	−	0.604586i	$-0.793339\pi$
$23$	−0.301282	+	0.359053i	−0.0628216	+	0.0748678i	0.733718	+	0.679454i	$0.237783\pi$
$24$	3.73692	−	2.72959i	0.762795	−	0.557176i
$25$	−1.28640	+	0.468210i	−0.257279	+	0.0936420i
$26$	−0.198033	+	8.83049i	−0.0388375	+	1.73180i
$27$	−2.71850	−	4.70858i	−0.523175	−	0.906166i
$28$	−1.69973	−	5.01108i	−0.321218	−	0.947005i
$29$	−5.19309	−	0.915682i	−0.964332	−	0.170038i	−0.330754	−	0.943717i	$-0.607303\pi$
$29$	−5.19309	−	0.915682i	−0.964332	−	0.170038i	−0.633578	+	0.773679i	$0.718414\pi$
$30$	3.03233	−	4.99031i	0.553625	−	0.911101i
$31$	−4.36534	−	7.56099i	−0.784038	−	1.35799i	−0.929572	−	0.368640i	$-0.879823\pi$
$31$	−4.36534	−	7.56099i	−0.784038	−	1.35799i	0.145534	−	0.989353i	$-0.453510\pi$
$32$	5.49879	−	1.32791i	0.972057	−	0.234743i
$33$	3.03320	−	0.534834i	0.528012	−	0.0931027i
$34$	−4.40022	+	1.49070i	−0.754632	+	0.255653i
$35$	−4.40737	−	5.01575i	−0.744982	−	0.847816i
$36$	−0.0835685	−	0.640763i	−0.0139281	−	0.106794i
$37$	−8.39581	+	4.84732i	−1.38026	+	0.796895i	−0.992190	−	0.124734i	$-0.960192\pi$
$37$	−8.39581	+	4.84732i	−1.38026	+	0.796895i	−0.388072	+	0.921629i	$0.626859\pi$
$38$	−4.78069	−	3.89166i	−0.775530	−	0.631311i
$39$	−8.84965	−	5.10935i	−1.41708	−	0.818150i
$40$	5.76409	−	4.21033i	0.911383	−	0.665711i
$41$	4.94982	+	5.89896i	0.773031	+	0.921263i	0.998596	−	0.0529651i	$-0.0168672\pi$
$41$	4.94982	+	5.89896i	0.773031	+	0.921263i	−0.225565	+	0.974228i	$0.572423\pi$
$42$	6.02921	+	1.06080i	0.930327	+	0.163685i
$43$	1.66164	−	4.56533i	0.253398	−	0.696206i	−0.746139	−	0.665790i	$-0.768095\pi$
$43$	1.66164	−	4.56533i	0.253398	−	0.696206i	0.999537	−	0.0304160i	$-0.00968320\pi$
$44$	3.67474	+	0.819343i	0.553988	+	0.123521i
$45$	−0.407694	−	0.706146i	−0.0607754	−	0.105266i
$46$	0.0148615	−	0.662691i	0.00219122	−	0.0977084i
$47$	3.56968	+	9.80762i	0.520692	+	1.43059i	0.869752	+	0.493489i	$0.164279\pi$
$47$	3.56968	+	9.80762i	0.520692	+	1.43059i	−0.349061	+	0.937100i	$0.613499\pi$
$48$	−1.70915	+	6.31738i	−0.246695	+	0.911835i
$49$	3.22010	−	6.21538i	0.460014	−	0.887912i
$50$	1.00534	−	1.65449i	0.142177	−	0.233981i
$51$	0.933339	−	5.29323i	0.130694	−	0.741200i
$52$	−7.59223	−	9.91925i	−1.05285	−	1.37555i
$53$	1.46812	+	0.258869i	0.201662	+	0.0355584i	0.273567	−	0.961853i	$-0.411797\pi$
$53$	1.46812	+	0.258869i	0.201662	+	0.0355584i	−0.0719047	+	0.997412i	$0.522908\pi$
$54$	7.16459	+	2.79115i	0.974977	+	0.379828i
$55$	4.67862	−	0.824967i	0.630865	−	0.111239i
$56$	6.30799	+	4.02608i	0.842940	+	0.538008i
$57$	6.60596	−	2.68748i	0.874980	−	0.355965i
$58$	6.54030	−	3.58298i	0.858783	−	0.470468i
$59$	−7.66876	−	2.79120i	−0.998387	−	0.363383i	−0.209425	−	0.977825i	$-0.567159\pi$
$59$	−7.66876	−	2.79120i	−0.998387	−	0.363383i	−0.788962	+	0.614441i	$0.789381\pi$
$60$	1.06798	+	8.18876i	0.137876	+	1.05716i
$61$	0.564931	+	0.474033i	0.0723320	+	0.0606938i	0.678237	−	0.734843i	$-0.262744\pi$
$61$	0.564931	+	0.474033i	0.0723320	+	0.0606938i	−0.605905	+	0.795537i	$0.707189\pi$
$62$	11.5048	+	4.48201i	1.46111	+	0.569215i
$63$	0.534405	−	0.667190i	0.0673287	−	0.0840580i
$64$	−4.89312	+	6.32909i	−0.611641	+	0.791136i
$65$	−13.6503	−	7.88103i	−1.69312	−	0.977521i
$66$	−2.87394	+	3.27309i	−0.353757	+	0.402890i
$67$	8.15613	+	6.84381i	0.996430	+	0.836104i	0.986486	−	0.163846i	$-0.0523901\pi$
$67$	8.15613	+	6.84381i	0.996430	+	0.836104i	0.00994456	+	0.999951i	$0.496834\pi$
$68$	3.53691	−	5.53702i	0.428913	−	0.671462i
$69$	0.664129	+	0.383435i	0.0799517	+	0.0461601i
$70$	9.29989	+	1.63626i	1.11155	+	0.195570i
$71$	−8.39867	−	3.05687i	−0.996739	−	0.362783i	−0.208413	−	0.978041i	$-0.566830\pi$
$71$	−8.39867	−	3.05687i	−0.996739	−	0.362783i	−0.788326	+	0.615258i	$0.789052\pi$
$72$	0.658983	+	0.633138i	0.0776619	+	0.0746160i
$73$	1.96150	+	11.1242i	0.229576	+	1.30199i	0.853741	+	0.520698i	$0.174328\pi$
$73$	1.96150	+	11.1242i	0.229576	+	1.30199i	−0.624165	+	0.781293i	$0.714561\pi$
$74$	4.97687	−	12.7751i	0.578550	−	1.48507i
$75$	1.11989	+	1.93971i	0.129314	+	0.223978i
$76$	8.71755	+	0.0656678i	0.999972	+	0.00753262i
$77$	2.58796	+	4.25545i	0.294926	+	0.484953i
$78$	14.2846	−	2.18975i	1.61741	−	0.247940i
$79$	4.51473	+	1.64323i	0.507946	+	0.184877i	0.583265	−	0.812282i	$-0.301775\pi$
$79$	4.51473	+	1.64323i	0.507946	+	0.184877i	−0.0753182	+	0.997160i	$0.523997\pi$
$80$	−2.63632	+	9.74439i	−0.294750	+	1.08946i
$81$	−6.07192	+	5.09494i	−0.674658	+	0.566105i
$82$	−10.6797	−	2.13105i	−1.17937	−	0.235335i
$83$	−7.02189	−	4.05409i	−0.770753	−	0.444994i	0.0623902	−	0.998052i	$-0.480128\pi$
$83$	−7.02189	−	4.05409i	−0.770753	−	0.444994i	−0.833143	+	0.553057i	$0.813461\pi$
$84$	−7.59129	+	4.16241i	−0.828277	+	0.454157i
$85$	1.43965	−	8.16466i	0.156152	−	0.885582i
$86$	2.20457	+	6.50741i	0.237725	+	0.701712i
$87$			8.62761i			0.924977i
$88$	−4.77966	+	2.34628i	−0.509513	+	0.250114i
$89$	8.96799	+	1.58130i	0.950605	+	0.167617i	0.627387	−	0.778707i	$-0.284124\pi$
$89$	8.96799	+	1.58130i	0.950605	+	0.167617i	0.323218	+	0.946325i	$0.395235\pi$
$90$	1.07447	+	0.418590i	0.113260	+	0.0441232i
$91$	2.49780	−	16.3346i	0.261840	−	1.71233i
$92$	0.569765	+	0.744398i	0.0594021	+	0.0776088i
$93$	−10.9425	+	9.18189i	−1.13469	+	0.952117i
$94$	−12.6140	−	7.66485i	−1.30104	−	0.790569i
$95$	10.1895	−	4.14537i	1.04542	−	0.425306i
$96$	−3.70188	−	8.48275i	−0.377821	−	0.865767i
$97$	−14.4910	+	2.55516i	−1.47134	+	0.259437i	−0.851111	−	0.524985i	$-0.824071\pi$
$97$	−14.4910	+	2.55516i	−1.47134	+	0.259437i	−0.620228	+	0.784422i	$0.712960\pi$
$98$	1.94439	+	9.70666i	0.196413	+	0.980521i
$99$	0.208024	+	0.571542i	0.0209072	+	0.0574421i
$100$	0.354080	+	2.71492i	0.0354080	+	0.271492i
$101$	12.0488	−	4.38540i	1.19890	−	0.436364i	0.336059	−	0.941841i	$-0.390906\pi$
$101$	12.0488	−	4.38540i	1.19890	−	0.436364i	0.862840	+	0.505477i	$0.168684\pi$
$102$	3.65207	+	6.66642i	0.361609	+	0.660074i
$103$	1.92163	−	3.32836i	0.189344	−	0.327953i	−0.755688	−	0.654932i	$-0.772697\pi$
$103$	1.92163	−	3.32836i	0.189344	−	0.327953i	0.945032	+	0.326979i	$0.106031\pi$
$104$	17.1515	+	4.22999i	1.68184	+	0.414785i
$105$	−6.82954	+	8.52649i	−0.666495	+	0.832100i
$106$	−1.84899	+	1.01293i	−0.179589	+	0.0983847i
$107$	−12.7883			−1.23629			−0.618143	−	0.786065i	$-0.712115\pi$
$107$	−12.7883			−1.23629			−0.618143	+	0.786065i	$0.712115\pi$
$108$	−10.3747	+	3.25731i	−0.998303	+	0.313435i
$109$	−3.19724	−	3.81033i	−0.306241	−	0.364963i	0.590872	−	0.806765i	$-0.298784\pi$
$109$	−3.19724	−	3.81033i	−0.306241	−	0.364963i	−0.897113	+	0.441802i	$0.854339\pi$
$110$	−4.43297	+	5.04866i	−0.422667	+	0.481371i
$111$	10.1957	+	12.1507i	0.967730	+	1.15330i
$112$	−10.5218	+	1.13693i	−0.994213	+	0.107430i
$113$			11.8159i			1.11154i	0.831335	+	0.555772i	$0.187577\pi$
$113$			11.8159i			1.11154i	−0.831335	+	0.555772i	$0.812423\pi$
$114$	−4.91227	+	8.80863i	−0.460076	+	0.825004i
$115$	1.02440	+	0.591438i	0.0955259	+	0.0551519i
$116$	−4.04773	+	9.73871i	−0.375823	+	0.904216i
$117$	0.690177	−	1.89625i	0.0638069	−	0.175308i
$118$	10.9310	−	3.70321i	1.00628	−	0.340908i
$119$	8.52297	−	1.70399i	0.781299	−	0.156204i
$120$	−8.42160	−	8.09131i	−0.768784	−	0.738632i
$121$	7.45623			0.677839
$122$	−1.04267	−	0.0233830i	−0.0943990	−	0.00211700i
$123$	8.09852	−	9.65144i	0.730219	−	0.870241i
$124$	−16.6595	+	5.23055i	−1.49607	+	0.469718i
$125$	−4.58180	−	7.93590i	−0.409808	−	0.709809i
$126$	0.000449447		1.20891i	4.00399e−5		0.107698i
$127$	−4.34726	−	3.64778i	−0.385757	−	0.323688i	0.429201	−	0.903209i	$-0.358795\pi$
$127$	−4.34726	−	3.64778i	−0.385757	−	0.323688i	−0.814957	+	0.579521i	$0.803240\pi$
$128$	−0.198849	−	11.3120i	−0.0175759	−	0.999846i
$129$	−7.82806	−	1.38030i	−0.689222	−	0.121529i
$130$	22.0335	−	3.37763i	1.93247	−	0.296237i
$131$	7.86897	+	9.37787i	0.687515	+	0.819348i	0.991053	−	0.133471i	$-0.0426124\pi$
$131$	7.86897	+	9.37787i	0.687515	+	0.819348i	−0.303538	+	0.952819i	$0.598168\pi$
$132$	0.276149	−	6.15378i	0.0240357	−	0.535618i
$133$	7.93029	+	8.37321i	0.687643	+	0.726049i
$134$	−15.0535	−	0.337590i	−1.30042	−	0.0291633i
$135$	−10.5111	+	8.81984i	−0.904650	+	0.759091i
$136$	0.994779	+	9.23835i	0.0853016	+	0.792182i
$137$	−2.75852	+	15.6444i	−0.235676	+	1.33659i	0.605508	+	0.795839i	$0.292970\pi$
$137$	−2.75852	+	15.6444i	−0.235676	+	1.33659i	−0.841184	+	0.540748i	$0.818141\pi$
$138$	−1.07200	+	0.164331i	−0.0912543	+	0.0139888i
$139$	1.39581	−	1.66346i	0.118391	−	0.141093i	−0.703594	−	0.710603i	$-0.748422\pi$
$139$	1.39581	−	1.66346i	0.118391	−	0.141093i	0.821985	+	0.569510i	$0.192867\pi$
$140$	−11.7094	+	6.42041i	−0.989621	+	0.542624i
$141$	14.7885	−	8.53816i	1.24542	−	0.719043i
$142$	11.9714	−	4.05567i	1.00462	−	0.340345i
$143$	9.00669	+	7.55751i	0.753178	+	0.631991i
$144$	−1.28718	−	0.115757i	−0.107265	−	0.00964643i
$145$			13.3079i			1.10516i
$146$	−12.0040	−	10.5401i	−0.993461	−	0.872307i
$147$	−10.9295	−	3.42259i	−0.901451	−	0.282290i
$148$	5.80807	+	18.4989i	0.477420	+	1.52060i
$149$	−9.90320	−	3.60447i	−0.811302	−	0.295290i	−0.0971402	−	0.995271i	$-0.530970\pi$
$149$	−9.90320	−	3.60447i	−0.811302	−	0.295290i	−0.714161	+	0.699981i	$0.753192\pi$
$150$	−2.95146	−	1.14982i	−0.240986	−	0.0938824i
$151$	−3.52226	+	6.10073i	−0.286637	+	0.496470i	−0.973005	−	0.230784i	$-0.925871\pi$
$151$	−3.52226	+	6.10073i	−0.286637	+	0.496470i	0.686368	+	0.727255i	$0.259204\pi$
$152$	−9.67755	+	7.63840i	−0.784953	+	0.619556i
$153$	1.06141			0.0858098
$154$	−6.61974	−	2.40660i	−0.533434	−	0.193930i
$155$	−16.8786	+	14.1628i	−1.35572	+	1.13758i
$156$	−13.8255	+	15.0513i	−1.10693	+	1.20507i
$157$	1.16785	−	0.979946i	0.0932049	−	0.0782082i	−0.594995	−	0.803730i	$-0.702846\pi$
$157$	1.16785	−	0.979946i	0.0932049	−	0.0782082i	0.688200	+	0.725521i	$0.258401\pi$
$158$	−6.43529	+	2.18014i	−0.511964	+	0.173443i
$159$		−	2.43908i		−	0.193432i
$160$	−5.71005	−	13.0844i	−0.451419	−	1.03441i
$161$	−0.187449	+	1.22584i	−0.0147730	+	0.0966100i
$162$	2.19353	−	10.9928i	0.172340	−	0.863676i
$163$	3.22838	+	1.86391i	0.252866	+	0.145992i	0.621076	−	0.783750i	$-0.286696\pi$
$163$	3.22838	+	1.86391i	0.252866	+	0.145992i	−0.368210	+	0.929743i	$0.620029\pi$
$164$	13.6695	−	7.09488i	1.06741	−	0.554017i
$165$	−2.65849	−	7.30414i	−0.206963	−	0.568626i
$166$	11.3343	−	1.73749i	0.879713	−	0.134855i
$167$	0.211707	−	0.0770551i	0.0163824	−	0.00596270i	−0.333816	−	0.942638i	$-0.608336\pi$
$167$	0.211707	−	0.0770551i	0.0163824	−	0.00596270i	0.350198	+	0.936676i	$0.386114\pi$
$168$	4.69493	−	11.3077i	0.362222	−	0.872409i
$169$	−4.51631	−	25.6132i	−0.347408	−	1.97025i
$170$	5.63322	+	10.2828i	0.432048	+	0.788652i
$171$	0.749176	+	1.19254i	0.0572909	+	0.0911957i
$172$	−8.18860	−	5.23067i	−0.624375	−	0.398835i
$173$	8.53277	+	10.1690i	0.648734	+	0.773132i	0.985723	−	0.168377i	$-0.0538527\pi$
$173$	8.53277	+	10.1690i	0.648734	+	0.773132i	−0.336988	+	0.941509i	$0.609408\pi$
$174$	−7.63131	−	9.52022i	−0.578528	−	0.721726i
$175$	−2.26428	+	2.82689i	−0.171163	+	0.213693i
$176$	3.19882	−	6.81673i	0.241120	−	0.513830i
$177$	−2.31860	+	13.1494i	−0.174277	+	0.988372i
$178$	−11.2945	+	6.18748i	−0.846559	+	0.463771i
$179$	6.57022			0.491081			0.245540	−	0.969386i	$-0.421035\pi$
$179$	6.57022			0.491081			0.245540	+	0.969386i	$0.421035\pi$
$180$	−1.55589	+	0.488499i	−0.115969	+	0.0364106i
$181$	19.6371	+	3.46255i	1.45962	+	0.257370i	0.846401	−	0.532546i	$-0.178765\pi$
$181$	19.6371	+	3.46255i	1.45962	+	0.257370i	0.613215	+	0.789916i	$0.289876\pi$
$182$	11.6921	+	20.2339i	0.866676	+	1.49984i
$183$	0.603292	−	1.04493i	0.0445967	−	0.0772437i
$184$	−1.28715	−	0.317443i	−0.0948898	−	0.0234022i
$185$	15.7265	+	18.7422i	1.15624	+	1.37795i
$186$	3.95308	−	19.8108i	0.289854	−	1.45259i
$187$	−2.11513	+	5.81127i	−0.154674	+	0.424962i
$188$	20.6988	−	2.69955i	1.50962	−	0.196885i
$189$	−12.6184	−	6.90667i	−0.917855	−	0.502386i
$190$	−7.57704	+	13.5871i	−0.549696	+	0.985710i
$191$	−4.94459	+	2.85476i	−0.357778	+	0.206563i	−0.668106	−	0.744067i	$-0.732895\pi$
$191$	−4.94459	+	2.85476i	−0.357778	+	0.206563i	0.310328	+	0.950630i	$0.399561\pi$
$192$	11.5880	+	6.08598i	0.836295	+	0.439218i
$193$	21.2727	−	3.75095i	1.53124	−	0.269999i	0.656402	−	0.754412i	$-0.272078\pi$
$193$	21.2727	−	3.75095i	1.53124	−	0.269999i	0.874840	+	0.484412i	$0.160967\pi$
$194$	13.7301	−	15.6371i	0.985767	−	1.12268i
$195$	−8.82026	+	24.2335i	−0.631632	+	1.73539i
$196$	−10.7313	−	8.99105i	−0.766522	−	0.642218i
$197$	3.36137	−	5.82206i	0.239488	−	0.414805i	−0.721080	−	0.692852i	$-0.756354\pi$
$197$	3.36137	−	5.82206i	0.239488	−	0.414805i	0.960567	+	0.278047i	$0.0896873\pi$
$198$	−0.735087	−	0.446671i	−0.0522404	−	0.0317436i
$199$	1.20121	−	1.43154i	0.0851513	−	0.101479i	−0.721787	−	0.692116i	$-0.756679\pi$
$199$	1.20121	−	1.43154i	0.0851513	−	0.101479i	0.806938	+	0.590636i	$0.201123\pi$
$200$	−2.79211	−	2.68261i	−0.197432	−	0.189689i
$201$	8.70998	−	15.0861i	0.614354	−	1.06409i
$202$	−9.41636	+	15.4965i	−0.662533	+	1.09033i
$203$	−12.9980	+	5.06929i	−0.912283	+	0.355794i
$204$	−9.92650	−	4.12579i	−0.694994	−	0.288863i
$205$	12.4917	−	14.8871i	0.872461	−	1.03976i
$206$	0.823567	+	5.37244i	0.0573806	+	0.374315i
$207$	−0.0517949	+	0.142305i	−0.00359999	+	0.00989090i
$208$	−22.6675	+	10.5032i	−1.57171	+	0.728269i
$209$	−8.02214	+	1.72534i	−0.554903	+	0.119344i
$210$	−0.00574379	−	15.4495i	−0.000396359	−	1.06612i
$211$	−0.784088	−	4.44679i	−0.0539789	−	0.306129i	0.945850	−	0.324603i	$-0.105231\pi$
$211$	−0.784088	−	4.44679i	−0.0539789	−	0.306129i	−0.999829	+	0.0184733i	$0.994119\pi$
$212$	1.14432	−	2.75320i	0.0785923	−	0.189090i
$213$	−2.53928	+	14.4010i	−0.173989	+	0.986740i
$214$	14.1113	−	11.3115i	0.964629	−	0.773237i
$215$	−12.0746	−	2.12907i	−0.823479	−	0.145202i
$216$	8.56686	−	12.7709i	0.582901	−	0.868951i
$217$	−20.2625	−	11.0907i	−1.37551	−	0.752883i
$218$	6.89835	+	1.37651i	0.467215	+	0.0932290i
$219$	17.3668	−	6.32100i	1.17354	−	0.427134i
$220$	0.425953	−	9.49204i	0.0287177	−	0.639953i
$221$	17.7690	−	10.2589i	1.19527	−	0.690089i
$222$	−21.9981	−	4.38954i	−1.47641	−	0.294607i
$223$	25.1580	+	9.15677i	1.68471	+	0.613183i	0.993943	−	0.109898i	$-0.0350525\pi$
$223$	25.1580	+	9.15677i	1.68471	+	0.613183i	0.690763	+	0.723081i	$0.257275\pi$
$224$	10.6047	−	10.5613i	0.708556	−	0.705655i
$225$	−0.338823	+	0.284306i	−0.0225882	+	0.0189537i
$226$	−10.4514	−	13.0383i	−0.695216	−	0.867297i
$227$	3.40320	−	5.89451i	0.225878	−	0.391233i	−0.730704	−	0.682694i	$-0.760808\pi$
$227$	3.40320	−	5.89451i	0.225878	−	0.391233i	0.956583	+	0.291461i	$0.0941415\pi$
$228$	−2.37094	−	14.0650i	−0.157019	−	0.931476i
$229$	−9.49531	−	16.4464i	−0.627467	−	1.08681i	−0.988058	−	0.154081i	$-0.950758\pi$
$229$	−9.49531	−	16.4464i	−0.627467	−	1.08681i	0.360591	−	0.932724i	$-0.382575\pi$
$230$	−1.65352	+	0.253476i	−0.109030	+	0.0167137i
$231$	6.12140	−	5.37892i	0.402759	−	0.353907i
$232$	−4.14759	−	14.3266i	−0.272302	−	0.940585i
$233$	−1.26672	−	7.18390i	−0.0829853	−	0.470633i	−0.997773	−	0.0666986i	$-0.978753\pi$
$233$	−1.26672	−	7.18390i	−0.0829853	−	0.470633i	0.914788	−	0.403935i	$-0.132358\pi$
$234$	0.915688	+	2.70291i	0.0598604	+	0.176694i
$235$	22.8109	−	13.1699i	1.48802	−	0.859109i
$236$	−8.78639	+	13.7551i	−0.571945	+	0.895379i
$237$	1.36500	−	7.74130i	0.0886662	−	0.502851i
$238$	−7.89754	+	9.41903i	−0.511921	+	0.610545i
$239$	8.30184	−	4.79307i	0.537001	−	0.310038i	−0.206861	−	0.978370i	$-0.566325\pi$
$239$	8.30184	−	4.79307i	0.537001	−	0.310038i	0.743863	+	0.668332i	$0.232992\pi$
$240$	16.4498	+	1.47934i	1.06183	+	0.0954911i
$241$	−4.89456	−	13.4477i	−0.315287	−	0.866243i	−0.991567	−	0.129598i	$-0.958631\pi$
$241$	−4.89456	−	13.4477i	−0.315287	−	0.866243i	0.676280	−	0.736645i	$-0.263591\pi$
$242$	−8.22765	+	6.59520i	−0.528893	+	0.423955i
$243$	−2.56053	−	2.14854i	−0.164258	−	0.137829i
$244$	1.17123	−	0.896462i	0.0749802	−	0.0573901i
$245$	−16.8585	−	5.27925i	−1.07705	−	0.337279i
$246$	−0.399482	+	17.8133i	−0.0254700	+	1.13573i
$247$	24.0682	+	12.7231i	1.53143	+	0.809555i
$248$	13.7566	−	20.5074i	0.873544	−	1.30222i
$249$	−4.53724	+	12.4660i	−0.287536	+	0.789998i
$250$	12.0753	+	4.70425i	0.763709	+	0.297523i
$251$	−1.89321	−	5.20156i	−0.119499	−	0.328320i	0.865493	−	0.500921i	$-0.167005\pi$
$251$	−1.89321	−	5.20156i	−0.119499	−	0.328320i	−0.984992	+	0.172601i	$0.944783\pi$
$252$	−1.06980	−	1.33358i	−0.0673912	−	0.0840080i
$253$	−0.675914	−	0.567159i	−0.0424944	−	0.0356570i
$254$	8.02356	+	0.179937i	0.503443	+	0.0112902i
$255$	−13.5645			−0.849441
$256$	10.2251	+	12.3064i	0.639068	+	0.769150i
$257$	4.21550	+	11.5820i	0.262956	+	0.722465i	0.998965	+	0.0454933i	$0.0144860\pi$
$257$	4.21550	+	11.5820i	0.262956	+	0.722465i	−0.736009	+	0.676972i	$0.763292\pi$
$258$	9.85885	−	5.40098i	0.613785	−	0.336251i
$259$	−12.3152	+	22.4998i	−0.765229	+	1.39807i
$260$	−21.3255	+	23.2162i	−1.32255	+	1.43981i
$261$	−1.67786	+	0.295852i	−0.103857	+	0.0183128i
$262$	−16.9780	−	3.38783i	−1.04890	−	0.209301i
$263$	12.9893	−	2.29036i	0.800952	−	0.141229i	0.241834	−	0.970318i	$-0.422251\pi$
$263$	12.9893	−	2.29036i	0.800952	−	0.141229i	0.559118	+	0.829088i	$0.311140\pi$
$264$	5.13843	+	7.03471i	0.316249	+	0.432956i
$265$		−	3.76222i		−	0.231111i
$266$	−16.1570	−	2.22498i	−0.990651	−	0.136422i
$267$		−	14.8991i		−	0.911810i
$268$	16.9095	−	12.9426i	1.03291	−	0.790594i
$269$	−5.47638	+	0.965633i	−0.333901	+	0.0588757i	−0.338085	−	0.941116i	$-0.609779\pi$
$269$	−5.47638	+	0.965633i	−0.333901	+	0.0588757i	0.00418450	+	0.999991i	$0.498668\pi$
$270$	3.79721	−	19.0296i	0.231091	−	1.15810i
$271$	22.5712	−	3.97991i	1.37110	−	0.241762i	0.560886	−	0.827893i	$-0.310460\pi$
$271$	22.5712	−	3.97991i	1.37110	−	0.241762i	0.810217	+	0.586130i	$0.199349\pi$
$272$	−9.26921	−	9.31424i	−0.562029	−	0.564759i
$273$	−27.0291	+	0.616210i	−1.63588	+	0.0372947i
$274$	−10.7939	−	19.7029i	−0.652080	−	1.19029i
$275$	−0.881400	−	2.42163i	−0.0531504	−	0.146030i
$276$	1.03755	−	1.12954i	0.0624531	−	0.0679900i
$277$	8.69295			0.522309			0.261154	−	0.965297i	$-0.415897\pi$
$277$	8.69295			0.522309			0.261154	+	0.965297i	$0.415897\pi$
$278$	−0.0688522	+	3.07019i	−0.00412948	+	0.184138i
$279$	−2.16089	−	1.81320i	−0.129369	−	0.108553i
$280$	7.24181	−	17.4418i	0.432781	−	1.04235i
$281$	0.467981	+	1.28577i	0.0279174	+	0.0767024i	0.952868	−	0.303384i	$-0.0981165\pi$
$281$	0.467981	+	1.28577i	0.0279174	+	0.0767024i	−0.924951	+	0.380086i	$0.875894\pi$
$282$	−8.76635	+	22.5023i	−0.522029	+	1.33999i
$283$	2.05376	−	5.64267i	0.122083	−	0.335422i	−0.863564	−	0.504240i	$-0.831773\pi$
$283$	2.05376	−	5.64267i	0.122083	−	0.335422i	0.985647	+	0.168818i	$0.0539950\pi$
$284$	−9.62268	+	15.0643i	−0.571001	+	0.893900i
$285$	−9.57424	−	15.2403i	−0.567129	−	0.902757i
$286$	−16.6233	−	0.372795i	−0.982956	−	0.0220438i
$287$	19.2989	+	6.53006i	1.13918	+	0.385457i
$288$	1.52274	−	1.01081i	0.0897286	−	0.0595625i
$289$	−4.75554	−	3.99037i	−0.279738	−	0.234728i
$290$	−11.7711	−	14.6847i	−0.691222	−	0.862314i
$291$	8.23408	+	22.6230i	0.482691	+	1.32618i
$292$	22.5689	+	1.01277i	1.32075	+	0.0592681i
$293$	−5.84063	+	3.37209i	−0.341213	+	0.197000i	−0.660808	−	0.750555i	$-0.729786\pi$
$293$	−5.84063	+	3.37209i	−0.341213	+	0.197000i	0.319595	+	0.947554i	$0.396453\pi$
$294$	15.0876	−	5.89070i	0.879928	−	0.343553i
$295$	−3.57638	+	20.2827i	−0.208225	+	1.18090i
$296$	−22.7717	−	15.2755i	−1.32358	−	0.887869i
$297$	8.86385	−	5.11755i	0.514333	−	0.296950i
$298$	14.1160	−	4.78220i	0.817718	−	0.277026i
$299$	0.508340	+	2.88294i	0.0293981	+	0.166725i
$300$	4.27386	−	1.34185i	0.246751	−	0.0774719i
$301$	−2.52000	−	12.6045i	−0.145250	−	0.726510i
$302$	−1.50956	−	9.84742i	−0.0868653	−	0.566655i
$303$	−10.4892	−	18.1679i	−0.602591	−	1.04372i
$304$	3.92245	−	16.9887i	0.224968	−	0.974366i
$305$	0.930562	−	1.61178i	0.0532838	−	0.0922903i
$306$	−1.17122	+	0.938838i	−0.0669542	+	0.0536698i
$307$	−17.1237	+	14.3685i	−0.977299	+	0.820051i	−0.983680	−	0.179928i	$-0.942413\pi$
$307$	−17.1237	+	14.3685i	−0.977299	+	0.820051i	0.00638075	+	0.999980i	$0.497969\pi$
$308$	9.43331	−	3.19972i	0.537513	−	0.182321i
$309$	−5.90884	−	2.15064i	−0.336142	−	0.122346i
$310$	6.09752	−	30.5575i	0.346316	−	1.73555i
$311$	8.28461	−	4.78312i	0.469777	−	0.271226i	−0.246369	−	0.969176i	$-0.579238\pi$
$311$	8.28461	−	4.78312i	0.469777	−	0.271226i	0.716146	+	0.697950i	$0.245904\pi$
$312$	1.94274	−	28.8375i	0.109986	−	1.63260i
$313$	−12.1511	+	4.42264i	−0.686821	+	0.249983i	−0.661774	−	0.749704i	$-0.730196\pi$
$313$	−12.1511	+	4.42264i	−0.686821	+	0.249983i	−0.0250477	+	0.999686i	$0.507974\pi$
$314$	−0.421896	+	2.11432i	−0.0238090	+	0.119318i
$315$	−1.89239	−	1.03579i	−0.106624	−	0.0583604i
$316$	5.17270	−	8.09784i	0.290987	−	0.455539i
$317$	20.7768	+	3.66351i	1.16694	+	0.205763i	0.723360	−	0.690471i	$-0.242597\pi$
$317$	20.7768	+	3.66351i	1.16694	+	0.205763i	0.443581	+	0.896234i	$0.353708\pi$
$318$	2.15742	+	2.69143i	0.120982	+	0.150928i
$319$	1.72376	−	9.77593i	0.0965121	−	0.547347i
$320$	17.8742	+	9.38746i	0.999201	+	0.524775i
$321$	3.63327	+	20.6053i	0.202789	+	1.15008i
$322$	−0.877443	−	1.51847i	−0.0488980	−	0.0846211i
$323$	−1.95878	+	14.1849i	−0.108990	+	0.789272i
$324$	7.30290	+	14.0703i	0.405717	+	0.781685i
$325$	−2.92428	+	8.03440i	−0.162210	+	0.445668i
$326$	−5.21105	+	0.798827i	−0.288613	+	0.0442429i
$327$	−5.23109	+	6.23417i	−0.289280	+	0.344751i
$328$	−8.80821	+	19.9199i	−0.486352	+	1.09989i
$329$	21.5525	+	17.2631i	1.18823	+	0.951745i
$330$	9.39420	+	5.70833i	0.517134	+	0.314233i
$331$	−10.5363	+	18.2495i	−0.579129	+	1.00308i	0.416450	+	0.909159i	$0.363274\pi$
$331$	−10.5363	+	18.2495i	−0.579129	+	1.00308i	−0.995579	+	0.0939230i	$0.970059\pi$
$332$	−10.9701	+	11.9427i	−0.602062	+	0.655440i
$333$	−2.01340	+	2.39947i	−0.110333	+	0.131490i
$334$	−0.165453	+	0.272287i	−0.00905321	+	0.0148989i
$335$	13.4349	−	23.2699i	0.734027	−	1.27137i
$336$	4.82124	+	16.6304i	0.263020	+	0.907261i
$337$	−1.77499	+	4.87674i	−0.0966897	+	0.265653i	−0.978603	−	0.205760i	$-0.934033\pi$
$337$	−1.77499	+	4.87674i	−0.0966897	+	0.265653i	0.881913	+	0.471413i	$0.156256\pi$
$338$	27.6390	+	24.2684i	1.50336	+	1.32003i
$339$	19.0385	−	3.35701i	1.03403	−	0.182328i
$340$	−15.3114	−	6.36391i	−0.830375	−	0.345132i
$341$	14.2335	−	8.21770i	0.770786	−	0.445014i
$342$	−1.88151	−	0.653256i	−0.101740	−	0.0353241i
$343$	−1.26547	−	18.4770i	−0.0683290	−	0.997663i
$344$	13.6624	−	1.47116i	0.736629	−	0.0793197i
$345$	0.661923	−	1.81862i	0.0356367	−	0.0979111i
$346$	−18.4102	−	3.67361i	−0.989740	−	0.197495i
$347$	4.46915	+	5.32613i	0.239917	+	0.285922i	0.872545	−	0.488534i	$-0.162468\pi$
$347$	4.46915	+	5.32613i	0.239917	+	0.285922i	−0.632628	+	0.774456i	$0.718024\pi$
$348$	16.8417	+	3.75512i	0.902808	+	0.201296i
$349$	−11.3729	+	19.6985i	−0.608779	+	1.05444i	0.382663	+	0.923888i	$0.375007\pi$
$349$	−11.3729	+	19.6985i	−0.608779	+	1.05444i	−0.991442	+	0.130548i	$0.958326\pi$
$350$	−0.00190431	−	5.12216i	−0.000101789	−	0.273791i
$351$	−33.4418	−	5.89669i	−1.78499	−	0.314742i
$352$	2.49977	+	10.3514i	0.133238	+	0.551732i
$353$	5.76465			0.306821			0.153411	−	0.988163i	$-0.450974\pi$
$353$	5.76465			0.306821			0.153411	+	0.988163i	$0.450974\pi$
$354$	−9.07248	−	16.5607i	−0.482197	−	0.880192i
$355$	−3.91678	+	22.2131i	−0.207881	+	1.17895i
$356$	6.99007	−	16.8179i	0.370473	−	0.891345i
$357$	−5.16704	−	13.2487i	−0.273469	−	0.701194i
$358$	−7.24996	+	5.81150i	−0.383173	+	0.307147i
$359$	−9.18879	−	10.9508i	−0.484966	−	0.577959i	0.466964	−	0.884276i	$-0.345348\pi$
$359$	−9.18879	−	10.9508i	−0.484966	−	0.577959i	−0.951930	+	0.306317i	$0.900903\pi$
$360$	1.28477	−	1.91526i	0.0677135	−	0.100943i
$361$	−17.3200	+	7.81141i	−0.911578	+	0.411127i
$362$	−24.7315	+	13.5487i	−1.29986	+	0.712102i
$363$	−2.11839	−	12.0140i	−0.111187	−	0.630571i
$364$	−30.7991	−	11.9854i	−1.61431	−	0.628206i
$365$	26.7878	−	9.74998i	1.40214	−	0.510337i
$366$	0.258557	+	1.68667i	0.0135150	+	0.0881635i
$367$	5.74153	+	15.7747i	0.299705	+	0.823434i	0.994549	+	0.104273i	$0.0332514\pi$
$367$	5.74153	+	15.7747i	0.299705	+	0.823434i	−0.694843	+	0.719161i	$0.744526\pi$
$368$	1.70110	−	0.788224i	0.0886760	−	0.0410890i
$369$	2.15468	+	1.24400i	0.112168	+	0.0647602i
$370$	−33.9315	−	6.77075i	−1.76401	−	0.351995i
$371$	3.67463	−	1.43312i	0.190777	−	0.0744040i
$372$	13.1610	+	25.3569i	0.682364	+	1.31470i
$373$			20.8463i			1.07938i	0.841864	+	0.539689i	$0.181458\pi$
$373$			20.8463i			1.07938i	−0.841864	+	0.539689i	$0.818542\pi$
$374$	−2.80623	−	8.28337i	−0.145107	−	0.428323i
$375$	−11.4851	+	9.63718i	−0.593090	+	0.497662i
$376$	−20.4525	+	21.2874i	−1.05476	+	1.09781i
$377$	−25.2294	+	21.1700i	−1.29938	+	1.09031i
$378$	20.0330	−	3.54004i	1.03039	−	0.182080i
$379$	32.8387			1.68681			0.843405	−	0.537278i	$-0.180547\pi$
$379$	32.8387			1.68681			0.843405	+	0.537278i	$0.180547\pi$
$380$	−3.65710	−	21.6948i	−0.187606	−	1.11292i
$381$	−4.64246	+	8.04097i	−0.237840	+	0.411951i
$382$	2.93106	−	7.52370i	0.149966	−	0.384946i
$383$	−20.5695	−	7.48669i	−1.05105	−	0.382552i	−0.241993	−	0.970278i	$-0.577801\pi$
$383$	−20.5695	−	7.48669i	−1.05105	−	0.382552i	−0.809060	+	0.587726i	$0.800023\pi$
$384$	−18.1701	+	3.53424i	−0.927240	+	0.180356i
$385$	9.44209	−	8.29683i	0.481214	−	0.422846i
$386$	−20.1557	+	22.9552i	−1.02590	+	1.16839i
$387$		−	1.56970i		−	0.0797922i
$388$	−1.31929	+	29.3995i	−0.0669770	+	1.49253i
$389$	2.69493	+	2.26132i	0.136639	+	0.114653i	0.708545	−	0.705665i	$-0.249352\pi$
$389$	2.69493	+	2.26132i	0.136639	+	0.114653i	−0.571907	+	0.820319i	$0.693796\pi$
$390$	−11.7022	−	34.5423i	−0.592565	−	1.74912i
$391$	−1.33349	+	0.769888i	−0.0674373	+	0.0389349i
$392$	19.7943	+	0.429184i	0.999765	+	0.0216770i
$393$	12.8746	−	15.3434i	0.649438	−	0.773970i
$394$	1.44060	+	9.39761i	0.0725766	+	0.473445i
$395$	2.10547	−	11.9407i	0.105938	−	0.600804i
$396$	1.20623	−	0.157317i	0.0606153	−	0.00790547i
$397$	1.77546	−	1.48979i	0.0891078	−	0.0747703i	−0.597146	−	0.802133i	$-0.703699\pi$
$397$	1.77546	−	1.48979i	0.0891078	−	0.0747703i	0.686253	+	0.727363i	$0.259254\pi$
$398$	−0.0592528	+	2.64214i	−0.00297008	+	0.132439i
$399$	11.2384	−	15.1567i	0.562624	−	0.758786i
$400$	5.45381	+	0.490463i	0.272690	+	0.0245232i
$401$	−20.3415	−	24.2420i	−1.01580	−	1.21059i	−0.977416	−	0.211326i	$-0.932222\pi$
$401$	−20.3415	−	24.2420i	−1.01580	−	1.21059i	−0.0383890	−	0.999263i	$-0.512223\pi$
$402$	3.73289	+	24.3511i	0.186180	+	1.21452i
$403$	−53.7005	−	9.46885i	−2.67501	−	0.471677i
$404$	−3.31643	−	25.4287i	−0.164998	−	1.26513i
$405$	15.3236	+	12.8580i	0.761434	+	0.638919i
$406$	9.85890	−	17.0908i	0.489289	−	0.848201i
$407$	−9.12503	−	15.8050i	−0.452311	−	0.783426i
$408$	14.6028	−	4.22756i	0.722948	−	0.209296i
$409$	−1.34180	+	1.59910i	−0.0663478	+	0.0790703i	−0.798197	−	0.602396i	$-0.794213\pi$
$409$	−1.34180	+	1.59910i	−0.0663478	+	0.0790703i	0.731850	+	0.681466i	$0.238657\pi$
$410$	−0.616190	+	27.4765i	−0.0304314	+	1.35697i
$411$	25.9910			1.28204
$412$	−5.66081	−	5.19980i	−0.278888	−	0.256176i
$413$	−21.1728	+	4.23304i	−1.04184	+	0.208294i
$414$	−0.0687185	−	0.202842i	−0.00337733	−	0.00996912i
$415$	−6.99857	+	19.2284i	−0.343546	+	0.943886i
$416$	15.7223	−	31.6398i	0.770850	−	1.55127i
$417$	−3.07685	−	1.77642i	−0.150674	−	0.0869916i
$418$	7.32601	−	8.99959i	0.358327	−	0.440185i
$419$		−	10.9627i		−	0.535562i	−0.963480	−	0.267781i	$-0.913710\pi$
$419$		−	10.9627i		−	0.535562i	0.963480	−	0.267781i	$-0.0862903\pi$
$420$	13.6718	+	17.0428i	0.667113	+	0.831604i
$421$	−7.32028	−	8.72397i	−0.356769	−	0.425180i	0.557571	−	0.830130i	$-0.311734\pi$
$421$	−7.32028	−	8.72397i	−0.356769	−	0.425180i	−0.914339	+	0.404949i	$0.867289\pi$
$422$	4.79849	+	4.21330i	0.233587	+	0.205100i
$423$	2.16758	+	2.58322i	0.105391	+	0.125601i
$424$	1.17255	+	4.05022i	0.0569441	+	0.196696i
$425$	−4.49719			−0.218146
$426$	−9.93599	−	18.1370i	−0.481400	−	0.878739i
$427$	1.92873	+	0.294930i	0.0933378	+	0.0142727i
$428$	−5.56601	+	24.9635i	−0.269043	+	1.20666i
$429$	9.61829	−	16.6594i	0.464376	−	0.804322i
$430$	15.2070	−	8.33087i	0.733347	−	0.401750i
$431$	−9.00843	+	3.27880i	−0.433921	+	0.157934i	−0.549740	−	0.835336i	$-0.685273\pi$
$431$	−9.00843	+	3.27880i	−0.433921	+	0.157934i	0.115819	+	0.993270i	$0.463051\pi$
$432$	1.84297	+	21.6698i	0.0886698	+	1.04259i
$433$	−8.21724	−	22.5767i	−0.394895	−	1.08497i	−0.964738	−	0.263212i	$-0.915218\pi$
$433$	−8.21724	−	22.5767i	−0.394895	−	1.08497i	0.569843	−	0.821754i	$-0.307004\pi$
$434$	32.1688	−	5.68456i	1.54415	−	0.272868i
$435$	21.4425	−	3.78090i	1.02809	−	0.181280i
$436$	−8.82960	+	4.58281i	−0.422861	+	0.219477i
$437$	−1.80622	−	0.954819i	−0.0864032	−	0.0456752i
$438$	−13.5725	+	22.3363i	−0.648519	+	1.06727i
$439$	−20.3773	+	17.0986i	−0.972556	+	0.816071i	−0.982950	−	0.183875i	$-0.941136\pi$
$439$	−20.3773	+	17.0986i	−0.972556	+	0.816071i	0.0103937	+	0.999946i	$0.496692\pi$
$440$	7.92589	+	10.8508i	0.377852	+	0.517294i
$441$	0.290822	−	2.24289i	0.0138487	−	0.106804i
$442$	−10.5331	+	27.0373i	−0.501008	+	1.28603i
$443$	−6.26693	−	1.10503i	−0.297751	−	0.0525015i	0.0227770	−	0.999741i	$-0.492749\pi$
$443$	−6.26693	−	1.10503i	−0.297751	−	0.0525015i	−0.320528	+	0.947239i	$0.603860\pi$
$444$	28.1566	−	14.6141i	1.33625	−	0.693554i
$445$		−	22.9815i		−	1.08943i
$446$	−35.8602	+	12.1487i	−1.69803	+	0.575257i
$447$	−2.99417	+	16.9808i	−0.141619	+	0.803163i
$448$	−2.36017	+	21.0340i	−0.111507	+	0.993764i
$449$	−33.0996	−	19.1101i	−1.56207	−	0.901860i	−0.997048	−	0.0767826i	$-0.975535\pi$
$449$	−33.0996	−	19.1101i	−1.56207	−	0.901860i	−0.565020	−	0.825077i	$-0.691131\pi$
$450$	0.122402	−	0.613416i	0.00577010	−	0.0289167i
$451$	−11.1047	+	9.31798i	−0.522901	+	0.438766i
$452$	23.0654	+	5.14279i	1.08490	+	0.241897i
$453$	10.8306	+	3.94203i	0.508867	+	0.185213i
$454$	1.45853	+	9.51456i	0.0684523	+	0.446540i
$455$	−41.6917	+	0.950488i	−1.95454	+	0.0445595i
$456$	15.0570	+	13.4230i	0.705109	+	0.628589i
$457$	9.72828	+	16.8499i	0.455070	+	0.788204i	0.998692	−	0.0511259i	$-0.0162810\pi$
$457$	9.72828	+	16.8499i	0.455070	+	0.788204i	−0.543622	+	0.839330i	$0.682948\pi$
$458$	25.0248	+	9.74908i	1.16933	+	0.455544i
$459$	−3.10157	−	17.5899i	−0.144769	−	0.821026i
$460$	1.60039	−	1.74228i	0.0746186	−	0.0812341i
$461$	−0.414402	−	0.150830i	−0.0193006	−	0.00702485i	0.332352	−	0.943155i	$-0.392158\pi$
$461$	−0.414402	−	0.150830i	−0.0193006	−	0.00702485i	−0.351652	+	0.936131i	$0.614380\pi$
$462$	−1.99695	+	11.3499i	−0.0929064	+	0.528046i
$463$	4.18943	+	2.41877i	0.194699	+	0.112410i	0.594181	−	0.804332i	$-0.297476\pi$
$463$	4.18943	+	2.41877i	0.194699	+	0.112410i	−0.399481	+	0.916741i	$0.630810\pi$
$464$	17.2488	+	12.1402i	0.800758	+	0.563593i
$465$	27.6155	+	23.1721i	1.28064	+	1.07458i
$466$	7.75209	+	6.80671i	0.359108	+	0.315315i
$467$	−27.6215	−	15.9473i	−1.27817	−	0.737953i	−0.301659	−	0.953416i	$-0.597541\pi$
$467$	−27.6215	−	15.9473i	−1.27817	−	0.737953i	−0.976512	+	0.215463i	$0.930874\pi$
$468$	−3.40120	−	2.17260i	−0.157221	−	0.100429i
$469$	27.8458	+	4.25803i	1.28580	+	0.196617i
$470$	−13.5219	+	34.7092i	−0.623717	+	1.60101i
$471$	−1.91076	−	1.60331i	−0.0880430	−	0.0738769i
$472$	−2.47123	−	22.9499i	−0.113748	−	1.05636i
$473$	8.59418	+	3.12803i	0.395161	+	0.143827i
$474$	5.34112	+	9.74957i	0.245326	+	0.447813i
$475$	−3.17426	−	5.05279i	−0.145645	−	0.231838i
$476$	0.383279	−	17.3791i	0.0175676	−	0.796567i
$477$	0.474342	−	0.0836393i	0.0217186	−	0.00382958i
$478$	−4.92117	+	12.6321i	−0.225089	+	0.577779i
$479$	−13.0720	−	2.30495i	−0.597277	−	0.105316i	−0.133167	−	0.991094i	$-0.542515\pi$
$479$	−13.0720	−	2.30495i	−0.597277	−	0.105316i	−0.464110	+	0.885778i	$0.653626\pi$
$480$	−19.4602	+	12.9178i	−0.888234	+	0.589616i
$481$	−10.5143	+	59.6297i	−0.479412	+	2.71888i
$482$	17.2957	+	10.5096i	0.787799	+	0.478701i
$483$	2.02842	−	0.0462440i	0.0922963	−	0.00210417i
$484$	3.24528	−	14.5551i	0.147513	−	0.661594i
$485$	12.7009	+	34.8953i	0.576716	+	1.58451i
$486$	4.72587	+	0.105983i	0.214370	+	0.00480747i
$487$	12.0467	+	20.8654i	0.545886	+	0.945502i	0.998551	+	0.0538215i	$0.0171402\pi$
$487$	12.0467	+	20.8654i	0.545886	+	0.945502i	−0.452665	+	0.891681i	$0.649526\pi$
$488$	−0.499462	+	2.02519i	−0.0226096	+	0.0916758i
$489$	2.08604	−	5.73134i	0.0943339	−	0.259180i
$490$	23.2722	−	9.08625i	1.05133	−	0.410475i
$491$	6.38704	+	7.61177i	0.288243	+	0.343514i	0.890662	−	0.454665i	$-0.150241\pi$
$491$	6.38704	+	7.61177i	0.288243	+	0.343514i	−0.602420	+	0.798180i	$0.705797\pi$
$492$	−15.3154	−	20.0096i	−0.690472	−	0.902101i
$493$	−15.0023	−	8.66157i	−0.675669	−	0.390098i
$494$	−37.8122	+	7.24940i	−1.70125	+	0.326166i
$495$	1.32931	−	0.767479i	0.0597482	−	0.0344956i
$496$	2.95942	+	34.7971i	0.132882	+	1.56244i
$497$	−23.1880	+	4.63594i	−1.04012	+	0.207950i
$498$	−6.01975	−	17.7690i	−0.269752	−	0.796247i
$499$	6.18284	−	1.09020i	0.276782	−	0.0488041i	−0.0335342	−	0.999438i	$-0.510676\pi$
$499$	6.18284	−	1.09020i	0.276782	−	0.0488041i	0.310316	+	0.950633i	$0.399565\pi$
$500$	−17.4856	+	5.48991i	−0.781980	+	0.245516i
$501$	−0.184305	−	0.319225i	−0.00823413	−	0.0142619i
$502$	6.68997	+	4.06512i	0.298588	+	0.181435i
$503$	8.04293	+	1.41819i	0.358617	+	0.0632338i	0.350054	−	0.936730i	$-0.386163\pi$
$503$	8.04293	+	1.41819i	0.358617	+	0.0632338i	0.00856277	+	0.999963i	$0.497274\pi$
$504$	2.36007	+	0.525294i	0.105126	+	0.0233984i
$505$	−16.1794	−	28.0235i	−0.719972	−	1.24703i
$506$	1.24751	+	0.0279767i	0.0554585	+	0.00124372i
$507$	−39.9867	+	14.5540i	−1.77587	+	0.646364i
$508$	−9.01283	+	6.89846i	−0.399880	+	0.306070i
$509$	15.3498	−	18.2931i	0.680367	−	0.810829i	−0.309788	−	0.950806i	$-0.600258\pi$
$509$	15.3498	−	18.2931i	0.680367	−	0.810829i	0.990155	+	0.139976i	$0.0447026\pi$
$510$	14.9679	−	11.9981i	0.662788	−	0.531284i
$511$	19.7271	+	22.4502i	0.872676	+	0.993137i
$512$	−22.1682	−	4.53530i	−0.979707	−	0.200434i
$513$	17.5738	−	15.9003i	0.775904	−	0.702014i
$514$	−14.8962	−	9.05156i	−0.657041	−	0.399247i
$515$	−9.11423	−	3.31731i	−0.401621	−	0.146178i
$516$	−6.10155	+	14.6801i	−0.268606	+	0.646257i
$517$	−18.4627	+	6.71989i	−0.811991	+	0.295540i
$518$	−6.31220	−	35.7206i	−0.277342	−	1.56947i
$519$	13.9607	−	16.6377i	0.612806	−	0.730313i
$520$	2.99662	−	44.4810i	0.131411	−	1.95062i
$521$			28.6652i			1.25585i	0.778276	+	0.627923i	$0.216095\pi$
$521$			28.6652i			1.25585i	−0.778276	+	0.627923i	$0.783905\pi$
$522$	1.58976	−	1.81056i	0.0695820	−	0.0792462i
$523$	21.8253	−	7.94377i	0.954355	−	0.347357i	0.182536	−	0.983199i	$-0.441569\pi$
$523$	21.8253	−	7.94377i	0.954355	−	0.347357i	0.771819	+	0.635843i	$0.219347\pi$
$524$	21.7311	−	11.2791i	0.949329	−	0.492729i
$525$	5.19818	+	2.84521i	0.226867	+	0.124175i
$526$	−12.3072	+	14.0166i	−0.536622	+	0.611152i
$527$	−4.98047	−	28.2457i	−0.216953	−	1.23040i
$528$	−11.8924	−	3.21746i	−0.517550	−	0.140022i
$529$	3.95576	+	22.4342i	0.171990	+	0.975401i
$530$	3.32776	+	4.15146i	0.144549	+	0.180328i
$531$	−2.63675			−0.114425
$532$	19.7967	−	11.8361i	0.858294	−	0.513158i
$533$	48.0951			2.08323
$534$	13.1786	+	16.4406i	0.570293	+	0.711452i
$535$	5.60422	+	31.7831i	0.242292	+	1.37410i
$536$	−7.21093	+	29.2384i	−0.311465	+	1.26291i
$537$	−1.86666	−	10.5864i	−0.0805525	−	0.456836i
$538$	5.18883	−	5.90951i	0.223707	−	0.254777i
$539$	11.7004	+	6.06180i	0.503972	+	0.261100i
$540$	12.6420	+	24.3571i	0.544026	+	1.04816i
$541$	−37.1634	+	13.5264i	−1.59778	+	0.581544i	−0.978971	−	0.203999i	$-0.934606\pi$
$541$	−37.1634	+	13.5264i	−1.59778	+	0.581544i	−0.618807	+	0.785543i	$0.712384\pi$
$542$	−21.3861	+	24.3564i	−0.918611	+	1.04620i
$543$		−	32.6244i		−	1.40005i
$544$	18.4668	+	2.07906i	0.791759	+	0.0891391i
$545$	−8.06882	+	9.61604i	−0.345630	+	0.411906i
$546$	29.2805	−	24.5878i	1.25309	−	1.05226i
$547$	43.1400	−	15.7017i	1.84453	−	0.671355i	0.856704	−	0.515808i	$-0.172508\pi$
$547$	43.1400	−	15.7017i	1.84453	−	0.671355i	0.987828	−	0.155547i	$-0.0497140\pi$
$548$	29.3382	+	12.1939i	1.25327	+	0.520899i
$549$	0.223902	+	0.0814935i	0.00955589	+	0.00347806i
$550$	3.11457	+	1.89255i	0.132806	+	0.0806986i
$551$	−0.857428	−	22.9693i	−0.0365277	−	0.978527i
$552$	−0.145794	+	2.16413i	−0.00620542	+	0.0921115i
$553$	12.4648	−	2.49206i	0.530056	−	0.105973i
$554$	−9.59231	+	7.68910i	−0.407538	+	0.326678i
$555$	25.7306	−	30.6645i	1.09220	−	1.30164i
$556$	−2.63967	−	3.44873i	−0.111947	−	0.146259i
$557$	−0.142684	+	0.0519326i	−0.00604570	+	0.00220045i	−0.345041	−	0.938588i	$-0.612135\pi$
$557$	−0.142684	+	0.0519326i	−0.00604570	+	0.00220045i	0.338996	+	0.940788i	$0.389913\pi$
$558$	3.98826	+	0.0894410i	0.168837	+	0.00378634i
$559$	−15.1717	−	26.2782i	−0.641696	−	1.11145i
$560$	7.43664	+	25.6519i	0.314255	+	1.08399i
$561$	9.96444	+	1.75700i	0.420699	+	0.0741806i
$562$	−1.65369	−	1.00485i	−0.0697565	−	0.0423871i
$563$	−13.4991	−	23.3811i	−0.568918	−	0.985395i	−0.996673	−	0.0815002i	$-0.974029\pi$
$563$	−13.4991	−	23.3811i	−0.568918	−	0.985395i	0.427755	−	0.903895i	$-0.359304\pi$
$564$	−10.2304	−	32.5844i	−0.430779	−	1.37205i
$565$	29.3664	−	5.17810i	1.23546	−	0.217844i
$566$	2.72481	+	8.04305i	0.114533	+	0.338075i
$567$	−6.72152	+	19.8647i	−0.282277	+	0.834240i
$568$	−2.70644	−	25.1343i	−0.113560	−	1.05461i
$569$	10.1172	−	5.84118i	0.424136	−	0.244875i	−0.272709	−	0.962096i	$-0.587920\pi$
$569$	10.1172	−	5.84118i	0.424136	−	0.244875i	0.696845	+	0.717221i	$0.254586\pi$
$570$	24.0451	+	8.34842i	1.00714	+	0.349677i
$571$	−2.79664	−	1.61464i	−0.117036	−	0.0675706i	0.440339	−	0.897831i	$-0.354858\pi$
$571$	−2.79664	−	1.61464i	−0.117036	−	0.0675706i	−0.557375	+	0.830261i	$0.688191\pi$
$572$	18.6729	−	14.2923i	0.780752	−	0.597591i
$573$	6.00459	+	7.15599i	0.250845	+	0.298946i
$574$	−27.0715	+	9.86463i	−1.12994	+	0.411742i
$575$	0.219455	−	0.602948i	0.00915191	−	0.0251447i
$576$	−0.786205	+	2.46229i	−0.0327585	+	0.102595i
$577$	12.5285	+	21.6999i	0.521567	+	0.903380i	0.999685	+	0.0250851i	$0.00798566\pi$
$577$	12.5285	+	21.6999i	0.521567	+	0.903380i	−0.478118	+	0.878295i	$0.658681\pi$
$578$	8.77712	+	0.196836i	0.365080	+	0.00818730i
$579$	−12.0876	−	33.2103i	−0.502342	−	1.38017i
$580$	25.9778	+	5.79217i	1.07867	+	0.240507i
$581$	−21.4467	+	0.488942i	−0.889758	+	0.0202847i
$582$	−29.0965	−	17.6803i	−1.20609	−	0.732872i
$583$	−0.487319	+	2.76372i	−0.0201827	+	0.114462i
$584$	−25.7997	+	18.8451i	−1.06760	+	0.779818i
$585$	−5.01527	−	0.884327i	−0.207356	−	0.0365624i
$586$	3.46221	−	8.88713i	0.143023	−	0.367124i
$587$	33.0390	−	5.82567i	1.36367	−	0.240451i	0.556535	−	0.830824i	$-0.312131\pi$
$587$	33.0390	−	5.82567i	1.36367	−	0.240451i	0.807130	+	0.590373i	$0.201019\pi$
$588$	−11.4381	+	19.8455i	−0.471700	+	0.818414i
$589$	28.2199	−	25.5325i	1.16278	−	1.05205i
$590$	−13.9941	−	25.5445i	−0.576126	−	1.05165i
$591$	−10.3359	−	3.76196i	−0.425162	−	0.154746i
$592$	38.6391	−	3.28617i	1.58806	−	0.135061i
$593$	5.42751	+	4.55422i	0.222881	+	0.187019i	0.747390	−	0.664385i	$-0.231307\pi$
$593$	5.42751	+	4.55422i	0.222881	+	0.187019i	−0.524509	+	0.851405i	$0.675751\pi$
$594$	−5.25432	+	13.4873i	−0.215587	+	0.553389i
$595$	−7.97002	−	20.4357i	−0.326739	−	0.837783i
$596$	−11.3465	+	17.7629i	−0.464770	+	0.727596i
$597$	−2.64787	−	1.52875i	−0.108370	−	0.0625676i
$598$	−3.11095	−	2.73157i	−0.127216	−	0.111702i
$599$	−20.8678	−	17.5102i	−0.852635	−	0.715446i	0.107733	−	0.994180i	$-0.465641\pi$
$599$	−20.8678	−	17.5102i	−0.852635	−	0.715446i	−0.960368	+	0.278734i	$0.910085\pi$
$600$	−3.52913	+	5.26100i	−0.144076	+	0.214779i
$601$	12.5746	+	7.25997i	0.512930	+	0.296140i	0.734037	−	0.679109i	$-0.237634\pi$
$601$	12.5746	+	7.25997i	0.512930	+	0.296140i	−0.221107	+	0.975250i	$0.570967\pi$
$602$	13.9296	+	11.6795i	0.567729	+	0.476022i
$603$	3.23256	+	1.17655i	0.131640	+	0.0479130i
$604$	10.3760	+	9.53099i	0.422193	+	0.387810i
$605$	−3.26756	−	18.5313i	−0.132845	−	0.753403i
$606$	27.6443	+	10.7696i	1.12297	+	0.437484i
$607$	−6.43237	−	11.1412i	−0.261082	−	0.452207i	0.705448	−	0.708762i	$-0.250746\pi$
$607$	−6.43237	−	11.1412i	−0.261082	−	0.452207i	−0.966530	+	0.256555i	$0.917413\pi$
$608$	10.6986	+	22.2158i	0.433884	+	0.900969i
$609$	11.8609	+	19.5031i	0.480626	+	0.790305i
$610$	0.398817	+	2.60164i	0.0161476	+	0.105337i
$611$	61.2552	+	22.2951i	2.47812	+	0.901961i
$612$	0.461972	−	2.07194i	0.0186741	−	0.0837532i
$613$	−12.0219	+	10.0876i	−0.485561	+	0.407434i	−0.852432	−	0.522838i	$-0.824873\pi$
$613$	−12.0219	+	10.0876i	−0.485561	+	0.407434i	0.366871	+	0.930272i	$0.380429\pi$
$614$	6.18605	−	31.0012i	0.249649	−	1.25111i
$615$	−27.5361	−	15.8980i	−1.11036	−	0.641069i
$616$	−7.57905	+	11.8747i	−0.305369	+	0.478446i
$617$	−0.0279222	+	0.158355i	−0.00112411	+	0.00637512i	−0.985365	−	0.170460i	$-0.945475\pi$
$617$	−0.0279222	+	0.158355i	−0.00112411	+	0.00637512i	0.984241	+	0.176835i	$0.0565858\pi$
$618$	8.42246	−	2.85335i	0.338801	−	0.114779i
$619$			21.2968i			0.855992i	0.903781	+	0.427996i	$0.140780\pi$
$619$			21.2968i			0.855992i	−0.903781	+	0.427996i	$0.859220\pi$
$620$	20.3004	+	39.1124i	0.815285	+	1.57079i
$621$	2.50967	+	0.442522i	0.100709	+	0.0177578i
$622$	−4.91096	+	12.6059i	−0.196911	+	0.505450i
$623$	22.4464	−	8.75420i	0.899297	−	0.350730i
$624$	23.3636	+	33.5394i	0.935293	+	1.34265i
$625$	−22.9589	+	19.2648i	−0.918357	+	0.770593i
$626$	9.49633	−	15.6281i	0.379550	−	0.624625i
$627$	5.05915	+	12.4356i	0.202043	+	0.496632i
$628$	−1.40462	−	2.70625i	−0.0560504	−	0.107991i
$629$	−31.3643	+	5.53038i	−1.25058	+	0.220511i
$630$	3.00435	−	0.530900i	0.119696	−	0.0211516i
$631$	−2.18371	−	5.99970i	−0.0869322	−	0.238844i	0.888607	−	0.458669i	$-0.151674\pi$
$631$	−2.18371	−	5.99970i	−0.0869322	−	0.238844i	−0.975539	+	0.219825i	$0.929451\pi$
$632$	1.45485	+	13.5110i	0.0578710	+	0.537439i
$633$	−6.94220	+	2.52675i	−0.275928	+	0.100429i
$634$	−26.1668	+	14.3350i	−1.03922	+	0.569315i
$635$	−7.16086	+	12.4030i	−0.284170	+	0.492197i
$636$	−4.76125	−	1.06160i	−0.188796	−	0.0420951i
$637$	−16.8097	−	40.3589i	−0.666026	−	1.59908i
$638$	6.74492	+	12.3120i	0.267034	+	0.487439i
$639$	−2.88772			−0.114236
$640$	−28.0269	+	5.45147i	−1.10786	+	0.215488i
$641$	−28.2800	−	33.7027i	−1.11699	−	1.33118i	−0.937725	−	0.347377i	$-0.887072\pi$
$641$	−28.2800	−	33.7027i	−1.11699	−	1.33118i	−0.179266	−	0.983801i	$-0.557372\pi$
$642$	−22.2350	−	19.5234i	−0.877545	−	0.770527i
$643$	−9.59829	−	11.4388i	−0.378519	−	0.451102i	0.542827	−	0.839845i	$-0.317354\pi$
$643$	−9.59829	−	11.4388i	−0.378519	−	0.451102i	−0.921346	+	0.388743i	$0.872910\pi$
$644$	2.31134	+	0.899454i	0.0910796	+	0.0354435i
$645$			20.0603i			0.789872i
$646$	−10.3855	−	17.3851i	−0.408610	−	0.684007i
$647$	13.6248	+	7.86626i	0.535645	+	0.309255i	0.743312	−	0.668945i	$-0.233254\pi$
$647$	13.6248	+	7.86626i	0.535645	+	0.309255i	−0.207667	+	0.978200i	$0.566587\pi$
$648$	−20.5040	−	9.06646i	−0.805472	−	0.356164i
$649$	5.25440	−	14.4364i	0.206253	−	0.566677i
$650$	−3.87977	−	11.4522i	−0.152177	−	0.449193i
$651$	−12.1132	+	35.7994i	−0.474755	+	1.40309i
$652$	5.04360	−	5.49076i	0.197523	−	0.215035i
$653$	−26.3410			−1.03080			−0.515401	−	0.856949i	$-0.672357\pi$
$653$	−26.3410			−1.03080			−0.515401	+	0.856949i	$0.672357\pi$
$654$	0.258038	−	11.5062i	0.0100901	−	0.449927i
$655$	19.8587	−	23.6667i	0.775945	−	0.924735i
$656$	−7.90009	−	29.7719i	−0.308447	−	1.16240i
$657$	1.82481	+	3.16066i	0.0711926	+	0.123309i
$658$	−39.0519	+	0.0145186i	−1.52240	+	0.000565996i
$659$	−16.3353	−	13.7070i	−0.636335	−	0.533948i	0.266555	−	0.963820i	$-0.414114\pi$
$659$	−16.3353	−	13.7070i	−0.636335	−	0.533948i	−0.902890	+	0.429871i	$0.858559\pi$
$660$	−15.4152	+	2.01046i	−0.600038	+	0.0782571i
$661$	33.2829	+	5.86868i	1.29456	+	0.228265i	0.778150	−	0.628079i	$-0.216158\pi$
$661$	33.2829	+	5.86868i	1.29456	+	0.228265i	0.516406	+	0.856344i	$0.327269\pi$
$662$	−4.51563	−	29.4572i	−0.175505	−	1.14489i
$663$	−21.5782	−	25.7159i	−0.838028	−	0.998723i
$664$	1.54150	−	22.8815i	0.0598217	−	0.887976i
$665$	17.3349	−	23.3789i	0.672220	−	0.906593i
$666$	0.0993163	−	4.42861i	0.00384843	−	0.171605i
$667$	1.89336	−	1.58872i	0.0733112	−	0.0615154i
$668$	−0.0582724	−	0.446804i	−0.00225463	−	0.0172874i
$669$	7.60637	−	43.1379i	0.294079	−	1.66781i
$670$	5.75788	+	37.5609i	0.222446	+	1.45110i
$671$	−0.892363	+	1.06348i	−0.0344493	+	0.0410551i
$672$	−20.0300	−	14.0864i	−0.772672	−	0.543396i
$673$	−38.9420	+	22.4832i	−1.50110	+	0.866663i	−0.501105	+	0.865387i	$0.667073\pi$
$673$	−38.9420	+	22.4832i	−1.50110	+	0.866663i	−0.999999	+	0.00127597i	$0.999594\pi$
$674$	−2.35495	−	6.95130i	−0.0907094	−	0.267754i
$675$	5.70167	+	4.78427i	0.219457	+	0.184147i
$676$	−51.9645	−	2.33189i	−1.99863	−	0.0896880i
$677$		−	4.54386i		−	0.174635i	−0.996181	−	0.0873173i	$-0.972171\pi$
$677$		−	4.54386i		−	0.174635i	0.996181	−	0.0873173i	$-0.0278294\pi$
$678$	−18.0389	+	20.5443i	−0.692780	+	0.789000i
$679$	−29.2448	+	25.6976i	−1.12231	+	0.986184i
$680$	22.5245	−	6.52090i	0.863774	−	0.250065i
$681$	−10.4645	−	3.80878i	−0.401002	−	0.145953i
$682$	−8.43733	+	21.6577i	−0.323082	+	0.829317i
$683$	−15.5368	+	26.9105i	−0.594498	+	1.02970i	0.399119	+	0.916899i	$0.369316\pi$
$683$	−15.5368	+	26.9105i	−0.594498	+	1.02970i	−0.993617	+	0.112802i	$0.964017\pi$
$684$	2.65399	−	0.943395i	0.101478	−	0.0360716i
$685$	40.0904			1.53178
$686$	17.7397	+	19.2693i	0.677304	+	0.735703i
$687$	−23.8018	+	19.9721i	−0.908095	+	0.761982i
$688$	−13.7747	+	13.7081i	−0.525154	+	0.522616i
$689$	7.13252	−	5.98490i	0.271727	−	0.228006i
$690$	0.878202	+	2.59226i	0.0334326	+	0.0986855i
$691$			6.60647i			0.251322i	0.992073	+	0.125661i	$0.0401052\pi$
$691$			6.60647i			0.251322i	−0.992073	+	0.125661i	$0.959895\pi$
$692$	23.5643	−	12.2306i	0.895781	−	0.464936i
$693$	1.25598	+	1.00601i	0.0477107	+	0.0382152i
$694$	−9.64260	−	1.92410i	−0.366028	−	0.0730380i
$695$	−4.74596	−	2.74008i	−0.180024	−	0.103937i
$696$	−21.9056	+	10.7532i	−0.830329	+	0.407599i
$697$	8.65219	+	23.7717i	0.327725	+	0.900417i
$698$	−4.87417	−	31.7961i	−0.184490	−	1.20350i
$699$	−11.2153	+	4.08204i	−0.424202	+	0.154397i
$700$	4.53276	+	5.65041i	0.171322	+	0.213565i
$701$	5.34814	+	30.3308i	0.201996	+	1.14558i	0.902097	+	0.431534i	$0.142028\pi$
$701$	5.34814	+	30.3308i	0.201996	+	1.14558i	−0.700100	+	0.714045i	$0.746861\pi$
$702$	42.1174	−	23.0732i	1.58962	−	0.870843i
$703$	−28.3516	−	31.3357i	−1.06930	−	1.18185i
$704$	−11.9144	−	9.21125i	−0.449042	−	0.347162i
$705$	−27.7010	−	33.0128i	−1.04328	−	1.24333i
$706$	−6.36106	+	5.09896i	−0.239401	+	0.191902i
$707$	21.2079	−	26.4775i	0.797606	−	0.995789i
$708$	24.6594	+	10.2493i	0.926758	+	0.385192i
$709$	2.61412	−	14.8254i	0.0981754	−	0.556781i	−0.895553	−	0.444956i	$-0.853219\pi$
$709$	2.61412	−	14.8254i	0.0981754	−	0.556781i	0.993728	−	0.111825i	$-0.0356695\pi$
$710$	−15.3260	−	27.9758i	−0.575174	−	1.04991i
$711$	1.55230			0.0582158
$712$	7.16250	+	24.7407i	0.268426	+	0.927196i
$713$	4.03000	+	0.710597i	0.150925	+	0.0266121i
$714$	17.4204	+	10.0490i	0.651940	+	0.376075i
$715$	14.8360	−	25.6966i	0.554833	−	0.960999i
$716$	2.85965	−	12.8255i	0.106870	−	0.479311i
$717$	−10.0816	−	12.0147i	−0.376503	−	0.448699i
$718$	19.8256	+	3.95605i	0.739886	+	0.147638i
$719$	15.4260	−	42.3826i	0.575293	−	1.58060i	−0.220729	−	0.975335i	$-0.570843\pi$
$719$	15.4260	−	42.3826i	0.575293	−	1.58060i	0.796021	−	0.605269i	$-0.206934\pi$
$720$	0.276390	+	3.24982i	0.0103004	+	0.121114i
$721$	−0.231757	−	10.1657i	−0.00863110	−	0.378590i
$722$	12.2025	−	23.9395i	0.454132	−	0.890935i
$723$	−20.2773	+	11.7071i	−0.754120	+	0.435391i
$724$	15.3061	−	36.8259i	0.568846	−	1.36862i
$725$	7.10910	−	1.25353i	0.264025	−	0.0465548i
$726$	12.9642	+	11.3832i	0.481146	+	0.422470i
$727$	3.34762	−	9.19750i	0.124156	−	0.341116i	−0.862006	−	0.506897i	$-0.830792\pi$
$727$	3.34762	−	9.19750i	0.124156	−	0.341116i	0.986163	+	0.165781i	$0.0530145\pi$
$728$	44.5869	−	14.0170i	1.65250	−	0.519506i
$729$	−14.6239	+	25.3293i	−0.541626	+	0.938123i
$730$	−20.9352	+	34.4531i	−0.774847	+	1.27517i
$731$	10.2590	−	12.2262i	0.379444	−	0.452204i
$732$	−1.77720	−	1.63247i	−0.0656872	−	0.0603378i
$733$	6.70448	−	11.6125i	0.247636	−	0.428918i	−0.715234	−	0.698885i	$-0.753680\pi$
$733$	6.70448	−	11.6125i	0.247636	−	0.428918i	0.962869	+	0.269968i	$0.0870130\pi$
$734$	−20.2886	−	12.3283i	−0.748866	−	0.455044i
$735$	−3.71662	+	28.6634i	−0.137090	+	1.05727i
$736$	−1.17989	+	2.37443i	−0.0434915	+	0.0875228i
$737$	−12.8834	+	15.3538i	−0.474566	+	0.565566i
$738$	−3.47794	+	0.533151i	−0.128025	+	0.0196255i
$739$	−7.11581	+	19.5505i	−0.261759	+	0.719178i	0.737290	+	0.675577i	$0.236105\pi$
$739$	−7.11581	+	19.5505i	−0.261759	+	0.719178i	−0.999049	+	0.0436012i	$0.986117\pi$
$740$	43.4309	−	22.5418i	1.59655	−	0.828655i
$741$	13.6624	−	42.3952i	0.501900	−	1.55743i
$742$	−2.78718	+	4.83168i	−0.102320	+	0.177377i
$743$	8.95849	+	50.8061i	0.328655	+	1.86389i	0.482636	+	0.875821i	$0.339679\pi$
$743$	8.95849	+	50.8061i	0.328655	+	1.86389i	−0.153981	+	0.988074i	$0.549209\pi$
$744$	−36.9513	−	16.3392i	−1.35470	−	0.599024i
$745$	−4.61843	+	26.1924i	−0.169206	+	0.959615i
$746$	−18.4390	−	23.0030i	−0.675098	−	0.842200i
$747$	−2.57991	−	0.454908i	−0.0943940	−	0.0166442i
$748$	10.4234	+	6.65819i	0.381117	+	0.243448i
$749$	−28.9084	+	17.5807i	−1.05629	+	0.642385i
$750$	4.14910	−	20.7931i	0.151504	−	0.759256i
$751$	−13.0520	+	4.75054i	−0.476275	+	0.173350i	−0.568993	−	0.822343i	$-0.692667\pi$
$751$	−13.0520	+	4.75054i	−0.476275	+	0.173350i	0.0927179	+	0.995692i	$0.470445\pi$
$752$	3.73935	−	41.5804i	0.136360	−	1.51628i
$753$	−7.84323	+	4.52829i	−0.285823	+	0.165020i
$754$	9.11432	−	45.6762i	0.331924	−	1.66343i
$755$	16.7059	+	6.08047i	0.607992	+	0.221291i
$756$	−18.9744	+	21.6259i	−0.690091	+	0.786527i
$757$	−2.18646	+	1.83466i	−0.0794682	+	0.0666817i	−0.681656	−	0.731672i	$-0.738740\pi$
$757$	−2.18646	+	1.83466i	−0.0794682	+	0.0666817i	0.602188	+	0.798354i	$0.294296\pi$
$758$	−36.2362	+	29.0465i	−1.31616	+	1.05502i
$759$	−0.721812	+	1.25022i	−0.0262001	+	0.0453799i
$760$	23.2250	+	20.7046i	0.842460	+	0.751034i
$761$	11.8751	+	20.5682i	0.430471	+	0.745597i	0.996914	−	0.0785037i	$-0.0250142\pi$
$761$	11.8751	+	20.5682i	0.430471	+	0.745597i	−0.566443	+	0.824101i	$0.691681\pi$
$762$	−1.98965	−	12.9792i	−0.0720774	−	0.470188i
$763$	−12.4658	−	4.21798i	−0.451291	−	0.152701i
$764$	3.42058	+	10.8947i	0.123752	+	0.394156i
$765$	−0.465143	−	2.63796i	−0.0168173	−	0.0953756i
$766$	29.3198	−	9.93292i	1.05937	−	0.358891i
$767$	−44.1417	+	25.4852i	−1.59386	+	0.920218i
$768$	16.9239	−	19.9717i	0.610687	−	0.720668i
$769$	−1.30910	+	7.42426i	−0.0472073	+	0.267726i	−0.999271	−	0.0381737i	$-0.987846\pi$
$769$	−1.30910	+	7.42426i	−0.0472073	+	0.267726i	0.952064	+	0.305899i	$0.0989571\pi$
$770$	−3.08024	+	17.5069i	−0.111004	+	0.630907i
$771$	17.4640	−	10.0829i	0.628952	−	0.363126i
$772$	1.93671	−	43.1583i	0.0697039	−	1.55330i
$773$	−6.97434	−	19.1618i	−0.250850	−	0.689204i	−0.999651	−	0.0264094i	$-0.991593\pi$
$773$	−6.97434	−	19.1618i	−0.250850	−	0.689204i	0.748802	−	0.662794i	$-0.230630\pi$
$774$	1.38843	+	1.73210i	0.0499061	+	0.0622590i
$775$	9.15568	+	7.68253i	0.328882	+	0.275965i
$776$	−24.5487	−	33.6081i	−0.881248	−	1.20646i
$777$	39.7520	+	13.4507i	1.42610	+	0.482540i
$778$	−4.97393	−	0.111546i	−0.178324	−	0.00399911i
$779$	−20.6016	+	26.4999i	−0.738127	+	0.949458i
$780$	43.4663	+	27.7652i	1.55634	+	0.994153i
$781$	5.75452	−	15.8104i	0.205913	−	0.565741i
$782$	0.790464	−	2.02904i	0.0282670	−	0.0725582i
$783$	9.80585	+	26.9413i	0.350432	+	0.962805i
$784$	−22.2219	+	17.0349i	−0.793638	+	0.608390i
$785$	−2.94729	−	2.47307i	−0.105193	−	0.0882676i
$786$	−0.635076	+	28.3186i	−0.0226524	+	1.01009i
$787$	30.6250			1.09166			0.545832	−	0.837894i	$-0.316214\pi$
$787$	30.6250			1.09166			0.545832	+	0.837894i	$0.316214\pi$
$788$	−9.90203	−	9.09563i	−0.352745	−	0.324018i
$789$	−7.38076	−	20.2785i	−0.262762	−	0.721933i
$790$	8.23853	+	15.0385i	0.293114	+	0.535044i
$791$	16.2439	+	26.7103i	0.577568	+	0.949708i
$792$	−1.19187	+	1.24053i	−0.0423514	+	0.0440802i
$793$	4.53599	−	0.799817i	0.161078	−	0.0284023i
$794$	−0.641399	+	3.21435i	−0.0227624	+	0.114073i
$795$	−6.06195	+	1.06889i	−0.214995	+	0.0379095i
$796$	−2.27165	−	2.96790i	−0.0805164	−	0.105195i
$797$		−	10.6679i		−	0.377877i	−0.981989	−	0.188938i	$-0.939495\pi$
$797$		−	10.6679i		−	0.377877i	0.981989	−	0.188938i	$-0.0605047\pi$
$798$	1.00533	+	26.6654i	0.0355882	+	0.943947i
$799$			34.2871i			1.21299i
$800$	−6.45188	+	4.28280i	−0.228108	+	0.151420i
$801$	2.89751	−	0.510909i	0.102379	−	0.0180521i
$802$	43.8886	+	8.75762i	1.54976	+	0.309242i
$803$	−20.9412	+	3.69250i	−0.738999	+	0.130306i
$804$	−25.6581	−	23.5686i	−0.904893	−	0.831200i
$805$	3.12878	−	0.0713301i	0.110275	−	0.00251405i
$806$	67.6317	−	37.0507i	2.38222	−	1.30506i
$807$	3.11179	+	8.54957i	0.109540	+	0.300959i
$808$	26.1518	+	25.1261i	0.920017	+	0.883934i
$809$	−19.9424			−0.701137			−0.350569	−	0.936537i	$-0.614012\pi$
$809$	−19.9424			−0.701137			−0.350569	+	0.936537i	$0.614012\pi$
$810$	−28.2821	−	0.634256i	−0.993732	−	0.0222855i
$811$	13.0730	+	10.9696i	0.459055	+	0.385193i	0.842783	−	0.538253i	$-0.180916\pi$
$811$	13.0730	+	10.9696i	0.459055	+	0.385193i	−0.383728	+	0.923446i	$0.625360\pi$
$812$	4.23827	+	27.5794i	0.148734	+	0.967847i
$813$	−12.8254	−	35.2375i	−0.449807	−	1.23583i
$814$	24.0490	+	9.36891i	0.842916	+	0.328380i
$815$	3.21766	−	8.84044i	0.112710	−	0.309667i
$816$	−12.3743	+	17.5815i	−0.433186	+	0.615474i
$817$	20.9779	+	2.89681i	0.733923	+	0.101347i
$818$	0.0661881	−	2.95139i	0.00231421	−	0.103193i
$819$	−1.04670	−	5.23537i	−0.0365747	−	0.182939i
$820$	−23.6236	−	30.8642i	−0.824972	−	1.07783i
$821$	−18.5933	−	15.6016i	−0.648910	−	0.544500i	0.257830	−	0.966190i	$-0.416993\pi$
$821$	−18.5933	−	15.6016i	−0.648910	−	0.544500i	−0.906740	+	0.421690i	$0.861437\pi$
$822$	−28.6800	+	22.9896i	−1.00033	+	0.801854i
$823$	−10.7816	−	29.6222i	−0.375823	−	1.03257i	−0.973070	−	0.230509i	$-0.925961\pi$
$823$	−10.7816	−	29.6222i	−0.375823	−	1.03257i	0.597247	−	0.802057i	$-0.296261\pi$
$824$	10.8458	+	0.730666i	0.377832	+	0.0254540i
$825$	−3.65148	+	2.10818i	−0.127128	+	0.0733974i
$826$	19.6191	−	23.3988i	0.682635	−	0.814147i
$827$	−1.12142	+	6.35986i	−0.0389954	+	0.221154i	−0.998078	−	0.0619731i	$-0.980261\pi$
$827$	−1.12142	+	6.35986i	−0.0389954	+	0.221154i	0.959082	+	0.283127i	$0.0913718\pi$
$828$	0.255246	+	0.163045i	0.00887040	+	0.00566619i
$829$	−18.0932	+	10.4461i	−0.628401	+	0.362808i	−0.780133	−	0.625614i	$-0.784848\pi$
$829$	−18.0932	+	10.4461i	−0.628401	+	0.362808i	0.151731	+	0.988422i	$0.451515\pi$
$830$	−9.28530	−	27.4082i	−0.322298	−	0.951351i
$831$	−2.46975	−	14.0067i	−0.0856748	−	0.485886i
$832$	10.6371	+	48.8199i	0.368776	+	1.69253i
$833$	16.9240	−	15.5689i	0.586381	−	0.539431i
$834$	4.96646	−	0.761332i	0.171974	−	0.0263628i
$835$	−0.284285	−	0.492396i	−0.00983809	−	0.0170401i
$836$	−0.123619	+	16.4107i	−0.00427545	+	0.567576i
$837$	−23.7343	+	41.1091i	−0.820379	+	1.42094i
$838$	9.69672	+	12.0969i	0.334968	+	0.417879i
$839$	−4.57067	+	3.83525i	−0.157797	+	0.132408i	−0.718268	−	0.695767i	$-0.755065\pi$
$839$	−4.57067	+	3.83525i	−0.157797	+	0.132408i	0.560471	+	0.828174i	$0.310620\pi$
$840$	−30.1610	−	6.71310i	−1.04065	−	0.231624i
$841$	−1.12140	−	0.408155i	−0.0386689	−	0.0140743i
$842$	15.7942	+	3.15160i	0.544303	+	0.108611i
$843$	1.93876	−	1.11934i	0.0667744	−	0.0385522i
$844$	−9.02169	−	0.404846i	−0.310539	−	0.0139354i
$845$	−61.6784	+	22.4491i	−2.12180	+	0.772272i
$846$	−4.67675	−	0.933209i	−0.160790	−	0.0320844i
$847$	16.8551	−	10.2505i	0.579149	−	0.352211i
$848$	−4.87636	−	3.43210i	−0.167455	−	0.117859i
$849$	−9.67535	−	1.70602i	−0.332057	−	0.0585506i
$850$	4.96247	−	3.97786i	0.170211	−	0.136440i
$851$	0.789055	−	4.47495i	0.0270485	−	0.153399i
$852$	27.0065	+	11.2248i	0.925227	+	0.384555i
$853$	6.38184	+	36.1932i	0.218510	+	1.23923i	0.874711	+	0.484645i	$0.161051\pi$
$853$	6.38184	+	36.1932i	0.218510	+	1.23923i	−0.656201	+	0.754586i	$0.727838\pi$
$854$	−2.38915	+	1.38056i	−0.0817549	+	0.0472418i
$855$	2.63555	−	2.38456i	0.0901339	−	0.0815504i
$856$	−15.9389	−	32.4695i	−0.544780	−	1.10978i
$857$	16.5296	−	45.4148i	0.564641	−	1.55134i	−0.248112	−	0.968731i	$-0.579810\pi$
$857$	16.5296	−	45.4148i	0.564641	−	1.55134i	0.812753	−	0.582608i	$-0.197968\pi$
$858$	4.12218	+	26.8905i	0.140729	+	0.918027i
$859$	−8.89826	+	10.6045i	−0.303605	+	0.361822i	−0.896178	−	0.443694i	$-0.853668\pi$
$859$	−8.89826	+	10.6045i	−0.303605	+	0.361822i	0.592573	+	0.805517i	$0.298112\pi$
$860$	−9.41148	+	22.6437i	−0.320929	+	0.772144i
$861$	5.03867	−	32.9510i	0.171717	−	1.12297i
$862$	7.04027	−	11.5862i	0.239792	−	0.394627i
$863$	−1.71960	+	2.97844i	−0.0585359	+	0.101387i	−0.893808	−	0.448449i	$-0.851977\pi$
$863$	−1.71960	+	2.97844i	−0.0585359	+	0.101387i	0.835272	+	0.549836i	$0.185310\pi$
$864$	−21.2010	−	22.2816i	−0.721273	−	0.758034i
$865$	21.5340	−	25.6632i	0.732177	−	0.872574i
$866$	29.0369	+	17.6441i	0.986715	+	0.599571i
$867$	−5.07847	+	8.79616i	−0.172474	+	0.298733i
$868$	−30.4688	+	34.7267i	−1.03418	+	1.17870i
$869$	−3.09336	+	8.49893i	−0.104935	+	0.288306i
$870$	−20.3167	+	23.1384i	−0.688800	+	0.784467i
$871$	65.4879	−	11.5473i	2.21897	−	0.391265i
$872$	5.68950	−	12.8669i	0.192671	−	0.435729i
$873$	−4.11725	+	2.37710i	−0.139348	+	0.0804526i
$874$	2.83765	−	0.544037i	0.0959849	−	0.0184023i
$875$	−21.2673	−	11.6406i	−0.718965	−	0.393524i
$876$	−4.78021	−	36.6523i	−0.161508	−	1.23837i
$877$	−10.1557	+	27.9025i	−0.342933	+	0.942201i	0.641606	+	0.767035i	$0.278269\pi$
$877$	−10.1557	+	27.9025i	−0.342933	+	0.942201i	−0.984539	+	0.175166i	$0.943954\pi$
$878$	7.36146	−	36.8918i	0.248437	−	1.24504i
$879$	7.09273	+	8.45278i	0.239232	+	0.285105i
$880$	−18.3437	−	4.96284i	−0.618366	−	0.167297i
$881$	23.9627	−	41.5047i	0.807326	−	1.39833i	−0.107384	−	0.994218i	$-0.534248\pi$
$881$	23.9627	−	41.5047i	0.807326	−	1.39833i	0.914710	−	0.404111i	$-0.132419\pi$
$882$	1.66297	+	2.73217i	0.0559951	+	0.0919970i
$883$	12.0323	+	2.12162i	0.404919	+	0.0713982i	0.372399	−	0.928073i	$-0.378535\pi$
$883$	12.0323	+	2.12162i	0.404919	+	0.0713982i	0.0325205	+	0.999471i	$0.489647\pi$
$884$	−12.2922	−	39.1513i	−0.413433	−	1.31680i
$885$	33.6969			1.13271
$886$	7.89273	−	4.32388i	0.265161	−	0.145264i
$887$	4.92049	−	27.9055i	0.165214	−	0.936974i	−0.783630	−	0.621228i	$-0.786634\pi$
$887$	4.92049	−	27.9055i	0.165214	−	0.936974i	0.948844	−	0.315746i	$-0.102255\pi$
$888$	−18.1432	+	41.0312i	−0.608847	+	1.37692i
$889$	−14.8420	−	2.26955i	−0.497783	−	0.0761182i
$890$	20.3276	+	25.3591i	0.681383	+	0.850039i
$891$	−9.59118	−	11.4303i	−0.321317	−	0.382930i
$892$	28.8245	−	45.1247i	0.965116	−	1.51089i
$893$	−38.5231	+	24.2009i	−1.28912	+	0.809853i
$894$	−11.7159	−	21.3860i	−0.391839	−	0.715255i
$895$	−2.87928	−	16.3292i	−0.0962437	−	0.545825i
$896$	−16.0007	−	25.2978i	−0.534545	−	0.845140i
$897$	4.50077	−	1.63814i	0.150276	−	0.0546961i
$898$	53.4273	−	8.19013i	1.78289	−	0.273308i
$899$	15.7461	+	43.2621i	0.525163	+	1.44287i
$900$	0.407514	+	0.785147i	0.0135838	+	0.0261716i
$901$	4.24125	+	2.44868i	0.141296	+	0.0815775i
$902$	4.01167	−	20.1044i	0.133574	−	0.669403i
$903$	−19.5932	+	7.64145i	−0.652022	+	0.254291i
$904$	−30.0006	+	14.7269i	−0.997805	+	0.489811i
$905$		−	50.3223i		−	1.67277i
$906$	−15.4380	+	5.23005i	−0.512892	+	0.173757i
$907$	−3.36530	+	2.82382i	−0.111743	+	0.0937635i	−0.696947	−	0.717122i	$-0.745459\pi$
$907$	−3.36530	+	2.82382i	−0.111743	+	0.0937635i	0.585204	+	0.810886i	$0.301014\pi$
$908$	−10.0253	−	9.20882i	−0.332700	−	0.305605i
$909$	3.17352	−	2.66290i	0.105259	−	0.0883228i
$910$	45.1643	−	37.9260i	1.49718	−	1.25723i
$911$	1.30028			0.0430801			0.0215400	−	0.999768i	$-0.493143\pi$
$911$	1.30028			0.0430801			0.0215400	+	0.999768i	$0.493143\pi$
$912$	−28.4877	−	1.49347i	−0.943322	−	0.0494539i
$913$	7.63178	−	13.2186i	0.252575	−	0.437473i
$914$	−25.6388	−	9.98828i	−0.848057	−	0.330383i
$915$	−2.86139	−	1.04146i	−0.0945948	−	0.0344297i
$916$	−36.2371	+	11.3773i	−1.19731	+	0.375916i
$917$	30.6804	+	10.3812i	1.01316	+	0.342816i
$918$	18.9811	+	16.6663i	0.626470	+	0.550071i
$919$		−	4.09560i		−	0.135101i	−0.997716	−	0.0675507i	$-0.978482\pi$
$919$		−	4.09560i		−	0.135101i	0.997716	−	0.0675507i	$-0.0215184\pi$
$920$	−0.224884	+	3.33811i	−0.00741420	+	0.110054i
$921$	28.0165	+	23.5086i	0.923173	+	0.774635i
$922$	0.590688	−	0.200113i	0.0194533	−	0.00659036i
$923$	−48.3431	+	27.9109i	−1.59123	+	0.918698i
$924$	−7.83570	−	14.2905i	−0.257776	−	0.470124i
$925$	8.53077	−	10.1666i	0.280490	−	0.334275i
$926$	−6.76232	+	1.03663i	−0.222224	+	0.0340657i
$927$	0.215626	−	1.22287i	0.00708207	−	0.0401644i
$928$	−29.7716	+	1.86080i	−0.977301	+	0.0610839i
$929$	8.24884	−	6.92160i	0.270636	−	0.227090i	−0.497362	−	0.867543i	$-0.665698\pi$
$929$	8.24884	−	6.92160i	0.270636	−	0.227090i	0.767997	+	0.640453i	$0.221253\pi$
$930$	−50.9688	−	1.14303i	−1.67133	−	0.0374814i
$931$	29.4378	+	8.02578i	0.964787	+	0.263034i
$932$	−14.5748	−	0.654039i	−0.477413	−	0.0214238i
$933$	−10.0606	−	11.9898i	−0.329370	−	0.392528i
$934$	44.5849	−	6.83464i	1.45886	−	0.223636i
$935$	15.3699	+	2.71013i	0.502649	+	0.0886306i
$936$	5.67480	−	0.611058i	0.185487	−	0.0199731i
$937$	−4.93183	−	4.13829i	−0.161116	−	0.135192i	0.558666	−	0.829393i	$-0.311314\pi$
$937$	−4.93183	−	4.13829i	−0.161116	−	0.135192i	−0.719781	+	0.694201i	$0.755758\pi$
$938$	−34.4931	+	19.9317i	−1.12624	+	0.650793i
$939$	10.5783	+	18.3222i	0.345210	+	0.597922i
$940$	−15.7802	−	50.2605i	−0.514692	−	1.63932i
$941$	−11.3692	+	13.5493i	−0.370625	+	0.441694i	−0.918832	−	0.394649i	$-0.870866\pi$
$941$	−11.3692	+	13.5493i	−0.370625	+	0.441694i	0.548207	+	0.836343i	$0.315311\pi$
$942$	3.52661	+	0.0790879i	0.114903	+	0.00257682i
$943$	−3.60933			−0.117536
$944$	23.0266	+	23.1384i	0.749452	+	0.753092i
$945$	−11.6356	+	34.3878i	−0.378506	+	1.11863i
$946$	−12.2501	+	4.15009i	−0.398286	+	0.134931i
$947$	−15.8519	+	43.5528i	−0.515118	+	1.41528i	0.360722	+	0.932673i	$0.382530\pi$
$947$	−15.8519	+	43.5528i	−0.515118	+	1.41528i	−0.875840	+	0.482602i	$0.839692\pi$
$948$	−14.5174	−	6.03392i	−0.471504	−	0.195973i
$949$	61.0980	+	35.2750i	1.98333	+	1.14507i
$950$	7.97197	+	2.76785i	0.258645	+	0.0898009i
$951$		−	34.5178i		−	1.11932i
$952$	14.9492	+	19.5161i	0.484507	+	0.632520i
$953$	14.3556	+	17.1084i	0.465024	+	0.554194i	0.946684	−	0.322164i	$-0.104410\pi$
$953$	14.3556	+	17.1084i	0.465024	+	0.554194i	−0.481660	+	0.876358i	$0.659966\pi$
$954$	−0.449436	+	0.511858i	−0.0145510	+	0.0165720i
$955$	9.26192	+	11.0379i	0.299709	+	0.357179i
$956$	−5.74306	−	18.2919i	−0.185744	−	0.591602i
$957$	−16.2414			−0.525010
$958$	16.4632	−	9.01908i	0.531903	−	0.291393i
$959$	15.2714	+	39.1570i	0.493140	+	1.26445i
$960$	10.0475	−	31.4673i	0.324281	−	1.01560i
$961$	−22.6124	+	39.1658i	−0.729431	+	1.26341i
$962$	−41.1416	−	75.0990i	−1.32646	−	2.42129i
$963$	−3.88264	+	1.41316i	−0.125116	+	0.0455386i
$964$	−28.3811	+	3.70148i	−0.914095	+	0.119217i
$965$	−18.6448	−	51.2260i	−0.600196	−	1.64902i
$966$	−2.19737	+	1.84521i	−0.0706994	+	0.0593686i
$967$	11.2441	−	1.98265i	0.361587	−	0.0637576i	0.0100968	−	0.999949i	$-0.496786\pi$
$967$	11.2441	−	1.98265i	0.361587	−	0.0637576i	0.351491	+	0.936191i	$0.385675\pi$
$968$	9.29323	+	18.9314i	0.298696	+	0.608479i
$969$	23.4123	−	0.873962i	0.752110	−	0.0280757i
$970$	−44.8805	−	27.2714i	−1.44103	−	0.875631i
$971$	25.2190	−	21.1613i	0.809318	−	0.679098i	−0.141127	−	0.989991i	$-0.545073\pi$
$971$	25.2190	−	21.1613i	0.809318	−	0.679098i	0.950445	+	0.310893i	$0.100628\pi$
$972$	−5.30855	+	4.06319i	−0.170272	+	0.130327i
$973$	0.868434	−	5.67922i	0.0278407	−	0.182068i
$974$	−31.7489	−	12.3686i	−1.01730	−	0.396316i
$975$	13.7764	+	2.42915i	0.441198	+	0.0777951i
$976$	−1.24018	−	2.67649i	−0.0396973	−	0.0856725i
$977$		−	14.0645i		−	0.449962i	−0.974363	−	0.224981i	$-0.927768\pi$
$977$		−	14.0645i		−	0.449962i	0.974363	−	0.224981i	$-0.0722321\pi$
$978$	2.76764	+	8.16945i	0.0884993	+	0.261230i
$979$	−2.97678	+	16.8821i	−0.0951382	+	0.539556i
$980$	−17.6430	+	30.6111i	−0.563585	+	0.977836i
$981$	−1.39177	−	0.803541i	−0.0444359	−	0.0256551i
$982$	−13.7806	−	2.74981i	−0.439757	−	0.0877500i
$983$	9.34408	−	7.84061i	0.298030	−	0.250077i	−0.481494	−	0.876449i	$-0.659906\pi$
$983$	9.34408	−	7.84061i	0.298030	−	0.250077i	0.779524	+	0.626373i	$0.215461\pi$
$984$	34.5988	+	8.53294i	1.10297	+	0.272020i
$985$	−15.9428	−	5.80272i	−0.507981	−	0.184890i
$986$	24.2158	−	3.71215i	0.771187	−	0.118219i
$987$	21.6922	−	39.6315i	0.690470	−	1.26148i
$988$	35.3120	−	41.4451i	1.12342	−	1.31855i
$989$	1.13857	+	1.97207i	0.0362046	+	0.0627081i
$990$	−0.787991	+	2.02269i	−0.0250440	+	0.0642852i
$991$	8.15156	+	46.2298i	0.258943	+	1.46854i	0.785745	+	0.618550i	$0.212280\pi$
$991$	8.15156	+	46.2298i	0.258943	+	1.46854i	−0.526803	+	0.849988i	$0.676609\pi$
$992$	−34.0444	−	35.7795i	−1.08091	−	1.13600i
$993$	32.3983	+	11.7920i	1.02813	+	0.374208i
$994$	21.4864	−	25.6258i	0.681507	−	0.812802i
$995$	−4.08427	−	2.35806i	−0.129480	−	0.0747554i
$996$	22.3596	+	14.2827i	0.708490	+	0.452566i
$997$	−17.8261	−	14.9579i	−0.564558	−	0.473720i	0.315277	−	0.949000i	$-0.397903\pi$
$997$	−17.8261	−	14.9579i	−0.564558	−	0.473720i	−0.879835	+	0.475279i	$0.842347\pi$
$998$	−5.85820	+	6.67184i	−0.185438	+	0.211193i
$999$	45.6480	+	26.3549i	1.44424	+	0.833832i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	532.2.bs.a.67.19	✓	456
4.3	odd	2	inner	532.2.bs.a.67.60	yes	456
7.2	even	3		532.2.ce.a.219.67	yes	456
19.2	odd	18		532.2.ce.a.515.9	yes	456
28.23	odd	6		532.2.ce.a.219.9	yes	456
76.59	even	18		532.2.ce.a.515.67	yes	456
133.2	odd	18	inner	532.2.bs.a.135.60	yes	456
532.135	even	18	inner	532.2.bs.a.135.19	yes	456

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
532.2.bs.a.67.19	✓	456	1.1	even	1	trivial
532.2.bs.a.67.60	yes	456	4.3	odd	2	inner
532.2.bs.a.135.19	yes	456	532.135	even	18	inner
532.2.bs.a.135.60	yes	456	133.2	odd	18	inner
532.2.ce.a.219.9	yes	456	28.23	odd	6
532.2.ce.a.219.67	yes	456	7.2	even	3
532.2.ce.a.515.9	yes	456	19.2	odd	18
532.2.ce.a.515.67	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)

\(f(q)\)	\(=\)	\(q+(-1.10346 + 0.884521i) q^{2} +(-0.284110 - 1.61127i) q^{3} +(0.435244 - 1.95207i) q^{4} +(-0.438232 - 2.48534i) q^{5} +(1.73871 + 1.52667i) q^{6} +(2.26054 - 1.37476i) q^{7} +(1.24637 + 2.53901i) q^{8} +(0.303610 - 0.110505i) q^{9} +O(q^{10})\)	\(q+(-1.10346 + 0.884521i) q^{2} +(-0.284110 - 1.61127i) q^{3} +(0.435244 - 1.95207i) q^{4} +(-0.438232 - 2.48534i) q^{5} +(1.73871 + 1.52667i) q^{6} +(2.26054 - 1.37476i) q^{7} +(1.24637 + 2.53901i) q^{8} +(0.303610 - 0.110505i) q^{9} +(2.68191 + 2.35484i) q^{10} +1.88249i q^{11} +(-3.26896 - 0.146694i) q^{12} +(4.01464 - 4.78446i) q^{13} +(-1.27841 + 3.51648i) q^{14} +(-3.88004 + 1.41222i) q^{15} +(-3.62112 - 1.69925i) q^{16} +(3.08701 + 1.12358i) q^{17} +(-0.237277 + 0.390487i) q^{18} +(0.916519 + 4.26145i) q^{19} +(-5.04228 - 0.226271i) q^{20} +(-2.85734 - 3.25176i) q^{21} +(-1.66510 - 2.07725i) q^{22} +(-0.301282 + 0.359053i) q^{23} +(3.73692 - 2.72959i) q^{24} +(-1.28640 + 0.468210i) q^{25} +(-0.198033 + 8.83049i) q^{26} +(-2.71850 - 4.70858i) q^{27} +(-1.69973 - 5.01108i) q^{28} +(-5.19309 - 0.915682i) q^{29} +(3.03233 - 4.99031i) q^{30} +(-4.36534 - 7.56099i) q^{31} +(5.49879 - 1.32791i) q^{32} +(3.03320 - 0.534834i) q^{33} +(-4.40022 + 1.49070i) q^{34} +(-4.40737 - 5.01575i) q^{35} +(-0.0835685 - 0.640763i) q^{36} +(-8.39581 + 4.84732i) q^{37} +(-4.78069 - 3.89166i) q^{38} +(-8.84965 - 5.10935i) q^{39} +(5.76409 - 4.21033i) q^{40} +(4.94982 + 5.89896i) q^{41} +(6.02921 + 1.06080i) q^{42} +(1.66164 - 4.56533i) q^{43} +(3.67474 + 0.819343i) q^{44} +(-0.407694 - 0.706146i) q^{45} +(0.0148615 - 0.662691i) q^{46} +(3.56968 + 9.80762i) q^{47} +(-1.70915 + 6.31738i) q^{48} +(3.22010 - 6.21538i) q^{49} +(1.00534 - 1.65449i) q^{50} +(0.933339 - 5.29323i) q^{51} +(-7.59223 - 9.91925i) q^{52} +(1.46812 + 0.258869i) q^{53} +(7.16459 + 2.79115i) q^{54} +(4.67862 - 0.824967i) q^{55} +(6.30799 + 4.02608i) q^{56} +(6.60596 - 2.68748i) q^{57} +(6.54030 - 3.58298i) q^{58} +(-7.66876 - 2.79120i) q^{59} +(1.06798 + 8.18876i) q^{60} +(0.564931 + 0.474033i) q^{61} +(11.5048 + 4.48201i) q^{62} +(0.534405 - 0.667190i) q^{63} +(-4.89312 + 6.32909i) q^{64} +(-13.6503 - 7.88103i) q^{65} +(-2.87394 + 3.27309i) q^{66} +(8.15613 + 6.84381i) q^{67} +(3.53691 - 5.53702i) q^{68} +(0.664129 + 0.383435i) q^{69} +(9.29989 + 1.63626i) q^{70} +(-8.39867 - 3.05687i) q^{71} +(0.658983 + 0.633138i) q^{72} +(1.96150 + 11.1242i) q^{73} +(4.97687 - 12.7751i) q^{74} +(1.11989 + 1.93971i) q^{75} +(8.71755 + 0.0656678i) q^{76} +(2.58796 + 4.25545i) q^{77} +(14.2846 - 2.18975i) q^{78} +(4.51473 + 1.64323i) q^{79} +(-2.63632 + 9.74439i) q^{80} +(-6.07192 + 5.09494i) q^{81} +(-10.6797 - 2.13105i) q^{82} +(-7.02189 - 4.05409i) q^{83} +(-7.59129 + 4.16241i) q^{84} +(1.43965 - 8.16466i) q^{85} +(2.20457 + 6.50741i) q^{86} +8.62761i q^{87} +(-4.77966 + 2.34628i) q^{88} +(8.96799 + 1.58130i) q^{89} +(1.07447 + 0.418590i) q^{90} +(2.49780 - 16.3346i) q^{91} +(0.569765 + 0.744398i) q^{92} +(-10.9425 + 9.18189i) q^{93} +(-12.6140 - 7.66485i) q^{94} +(10.1895 - 4.14537i) q^{95} +(-3.70188 - 8.48275i) q^{96} +(-14.4910 + 2.55516i) q^{97} +(1.94439 + 9.70666i) q^{98} +(0.208024 + 0.571542i) 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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