LMFDB - Embedded newform 572.2.bm.a.523.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [572,2,Mod(35,572)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(572, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 3, 20]))

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

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

chi := DirichletCharacter("572.35");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 572 = 2^{2} \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	572.bm (of order $30$, degree $8$, 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:	$4.56744299562$
Analytic rank:	$0$
Dimension:	$640$
Relative dimension:	$80$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			523.10
Character	$\chi$	$=$	572.523
Dual form			572.2.bm.a.35.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.32463 - 0.495335i) q^{2} +(0.111975 + 0.0117691i) q^{3} +(1.50929 + 1.31227i) q^{4} +(0.137946 - 0.424554i) q^{5} +(-0.142496 - 0.0710549i) q^{6} +(-0.311356 - 2.96235i) q^{7} +(-1.34923 - 2.48587i) q^{8} +(-2.92204 - 0.621099i) q^{9} +O(q^{10})$	\(q+(-1.32463 - 0.495335i) q^{2} +(0.111975 + 0.0117691i) q^{3} +(1.50929 + 1.31227i) q^{4} +(0.137946 - 0.424554i) q^{5} +(-0.142496 - 0.0710549i) q^{6} +(-0.311356 - 2.96235i) q^{7} +(-1.34923 - 2.48587i) q^{8} +(-2.92204 - 0.621099i) q^{9} +(-0.393024 + 0.494048i) q^{10} +(-0.154062 + 3.31304i) q^{11} +(0.153559 + 0.164705i) q^{12} +(-3.56231 - 0.556731i) q^{13} +(-1.05493 + 4.07824i) q^{14} +(0.0204432 - 0.0459161i) q^{15} +(0.555892 + 3.96118i) q^{16} +(4.07152 - 3.66601i) q^{17} +(3.56297 + 2.27012i) q^{18} +(-7.19468 + 3.20328i) q^{19} +(0.765330 - 0.459752i) q^{20} -0.335375i q^{21} +(1.84514 - 4.31224i) q^{22} +(-5.10878 + 2.94956i) q^{23} +(-0.121824 - 0.294236i) q^{24} +(3.88387 + 2.82180i) q^{25} +(4.44297 + 2.50200i) q^{26} +(-0.641131 - 0.208316i) q^{27} +(3.41748 - 4.87962i) q^{28} +(2.16532 - 4.86338i) q^{29} +(-0.0498235 + 0.0506956i) q^{30} +(-3.06896 + 0.997165i) q^{31} +(1.22576 - 5.52245i) q^{32} +(-0.0562427 + 0.369166i) q^{33} +(-7.20916 + 2.83934i) q^{34} +(-1.30063 - 0.276457i) q^{35} +(-3.59515 - 4.77193i) q^{36} +(-10.1520 - 4.51996i) q^{37} +(11.1170 - 0.679380i) q^{38} +(-0.392338 - 0.104265i) q^{39} +(-1.24151 + 0.229906i) q^{40} +(0.426985 + 0.0448780i) q^{41} +(-0.166123 + 0.444247i) q^{42} +(-0.115931 + 0.200799i) q^{43} +(-4.58014 + 4.79816i) q^{44} +(-0.666775 + 1.15489i) q^{45} +(8.22826 - 1.37651i) q^{46} +(0.413172 - 0.568683i) q^{47} +(0.0156267 + 0.450097i) q^{48} +(-1.83155 + 0.389308i) q^{49} +(-3.74695 - 5.66165i) q^{50} +(0.499055 - 0.362585i) q^{51} +(-4.64597 - 5.51498i) q^{52} +(-0.743822 - 2.28925i) q^{53} +(0.746075 + 0.593516i) q^{54} +(1.38532 + 0.522429i) q^{55} +(-6.94394 + 4.77089i) q^{56} +(-0.843326 + 0.274013i) q^{57} +(-5.27724 + 5.36962i) q^{58} +(-4.19239 + 0.440638i) q^{59} +(0.0911089 - 0.0424736i) q^{60} +(-10.2377 + 9.21806i) q^{61} +(4.55916 + 0.199288i) q^{62} +(-0.930120 + 8.84950i) q^{63} +(-4.35915 + 6.70804i) q^{64} +(-0.727769 + 1.43560i) q^{65} +(0.257361 - 0.461149i) q^{66} +(-7.40122 + 4.27310i) q^{67} +(10.9559 - 0.190128i) q^{68} +(-0.606771 + 0.270152i) q^{69} +(1.58591 + 1.01045i) q^{70} +(2.56904 - 2.31318i) q^{71} +(2.39854 + 8.10184i) q^{72} +(-2.16710 - 2.98276i) q^{73} +(11.2087 + 11.0159i) q^{74} +(0.401687 + 0.361681i) q^{75} +(-15.0624 - 4.60670i) q^{76} +(9.86237 - 0.575148i) q^{77} +(0.468057 + 0.332452i) q^{78} +(0.124784 + 0.384047i) q^{79} +(1.75842 + 0.310424i) q^{80} +(8.11783 + 3.61429i) q^{81} +(-0.543368 - 0.270947i) q^{82} +(3.09243 - 9.51752i) q^{83} +(0.440102 - 0.506176i) q^{84} +(-0.994771 - 2.23429i) q^{85} +(0.253028 - 0.208559i) q^{86} +(0.299699 - 0.519094i) q^{87} +(8.44368 - 4.08709i) q^{88} +(-1.82533 - 3.16156i) q^{89} +(1.45529 - 1.19952i) q^{90} +(-0.540086 + 10.7262i) q^{91} +(-11.5812 - 2.25238i) q^{92} +(-0.355383 + 0.0755390i) q^{93} +(-0.828989 + 0.548635i) q^{94} +(0.367488 + 3.49641i) q^{95} +(0.202249 - 0.603952i) q^{96} +(7.47034 + 1.58787i) q^{97} +(2.61897 + 0.391542i) q^{98} +(2.50791 - 9.58517i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 640 q - 5 q^{2} - 3 q^{4} - 24 q^{5} - 5 q^{6} - 20 q^{8} - 78 q^{9}+O(q^{10}) $ 640 * q - 5 * q^2 - 3 * q^4 - 24 * q^5 - 5 * q^6 - 20 * q^8 - 78 * q^9	$ 640 q - 5 q^{2} - 3 q^{4} - 24 q^{5} - 5 q^{6} - 20 q^{8} - 78 q^{9} - 36 q^{12} - 20 q^{13} - 28 q^{14} - 11 q^{16} - 10 q^{17} - 20 q^{18} - 29 q^{20} + 25 q^{22} - 65 q^{24} - 152 q^{25} + 40 q^{26} - 5 q^{28} - 10 q^{29} + 5 q^{30} + 4 q^{33} - 132 q^{34} - 24 q^{36} - 6 q^{37} - 10 q^{38} - 20 q^{40} - 50 q^{41} - 49 q^{42} - 4 q^{44} + 28 q^{45} - 25 q^{46} + 35 q^{48} + 62 q^{49} + 20 q^{50} + 15 q^{52} - 8 q^{53} - 2 q^{56} - 40 q^{57} + 41 q^{58} - 68 q^{60} - 10 q^{61} - 5 q^{62} - 36 q^{64} - 66 q^{66} + 60 q^{68} - 58 q^{69} + 118 q^{70} - 5 q^{72} - 40 q^{73} + 45 q^{74} - 76 q^{77} + 12 q^{78} - 41 q^{80} + 30 q^{81} - 37 q^{82} + 50 q^{84} - 10 q^{85} - 120 q^{86} + 89 q^{88} - 40 q^{89} - 250 q^{90} - 46 q^{92} - 2 q^{93} - 5 q^{94} + 110 q^{96} - 10 q^{97}+O(q^{100}) $ 640 * q - 5 * q^2 - 3 * q^4 - 24 * q^5 - 5 * q^6 - 20 * q^8 - 78 * q^9 - 36 * q^12 - 20 * q^13 - 28 * q^14 - 11 * q^16 - 10 * q^17 - 20 * q^18 - 29 * q^20 + 25 * q^22 - 65 * q^24 - 152 * q^25 + 40 * q^26 - 5 * q^28 - 10 * q^29 + 5 * q^30 + 4 * q^33 - 132 * q^34 - 24 * q^36 - 6 * q^37 - 10 * q^38 - 20 * q^40 - 50 * q^41 - 49 * q^42 - 4 * q^44 + 28 * q^45 - 25 * q^46 + 35 * q^48 + 62 * q^49 + 20 * q^50 + 15 * q^52 - 8 * q^53 - 2 * q^56 - 40 * q^57 + 41 * q^58 - 68 * q^60 - 10 * q^61 - 5 * q^62 - 36 * q^64 - 66 * q^66 + 60 * q^68 - 58 * q^69 + 118 * q^70 - 5 * q^72 - 40 * q^73 + 45 * q^74 - 76 * q^77 + 12 * q^78 - 41 * q^80 + 30 * q^81 - 37 * q^82 + 50 * q^84 - 10 * q^85 - 120 * q^86 + 89 * q^88 - 40 * q^89 - 250 * q^90 - 46 * q^92 - 2 * q^93 - 5 * q^94 + 110 * q^96 - 10 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/572\mathbb{Z}\right)^\times$.

$n$	$287$	$353$	$365$
$\chi(n)$	$-1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{9}{10}\right)$

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 $

$2$	−1.32463	−	0.495335i	−0.936654	−	0.350255i
$2$	−1.32463	−	0.495335i	−0.936654	−	0.350255i
$3$	0.111975	+	0.0117691i	0.0646490	+	0.00679488i	0.136798	−	0.990599i	$-0.456319\pi$
$3$	0.111975	+	0.0117691i	0.0646490	+	0.00679488i	−0.0721488	+	0.997394i	$0.522986\pi$
$4$	1.50929	+	1.31227i	0.754643	+	0.656135i
$5$	0.137946	−	0.424554i	0.0616914	−	0.189866i	−0.915461	−	0.402407i	$-0.868174\pi$
$5$	0.137946	−	0.424554i	0.0616914	−	0.189866i	0.977152	+	0.212540i	$0.0681737\pi$
$6$	−0.142496	−	0.0710549i	−0.0581738	−	0.0290081i
$7$	−0.311356	−	2.96235i	−0.117681	−	1.11966i	−0.880827	−	0.473438i	$-0.843013\pi$
$7$	−0.311356	−	2.96235i	−0.117681	−	1.11966i	0.763146	−	0.646226i	$-0.223654\pi$
$8$	−1.34923	−	2.48587i	−0.477026	−	0.878889i
$9$	−2.92204	−	0.621099i	−0.974014	−	0.207033i
$10$	−0.393024	+	0.494048i	−0.124285	+	0.156232i
$11$	−0.154062	+	3.31304i	−0.0464516	+	0.998921i
$11$	−0.154062	+	3.31304i	−0.0464516	+	0.998921i
$12$	0.153559	+	0.164705i	0.0443285	+	0.0475462i
$13$	−3.56231	−	0.556731i	−0.988007	−	0.154409i
$13$	−3.56231	−	0.556731i	−0.988007	−	0.154409i
$14$	−1.05493	+	4.07824i	−0.281941	+	1.08996i
$15$	0.0204432	−	0.0459161i	0.00527840	−	0.0118555i
$16$	0.555892	+	3.96118i	0.138973	+	0.990296i
$17$	4.07152	−	3.66601i	0.987488	−	0.889138i	−0.00634998	−	0.999980i	$-0.502021\pi$
$17$	4.07152	−	3.66601i	0.987488	−	0.889138i	0.993838	+	0.110842i	$0.0353546\pi$
$18$	3.56297	+	2.27012i	0.839801	+	0.535072i
$19$	−7.19468	+	3.20328i	−1.65057	+	0.734883i	−0.999705	−	0.0243072i	$-0.992262\pi$
$19$	−7.19468	+	3.20328i	−1.65057	+	0.734883i	−0.650869	+	0.759190i	$0.725595\pi$
$20$	0.765330	−	0.459752i	0.171133	−	0.102804i
$21$		−	0.335375i		−	0.0731847i
$22$	1.84514	−	4.31224i	0.393386	−	0.919374i
$23$	−5.10878	+	2.94956i	−1.06526	+	0.615025i	−0.926881	−	0.375355i	$-0.877521\pi$
$23$	−5.10878	+	2.94956i	−1.06526	+	0.615025i	−0.138374	+	0.990380i	$0.544188\pi$
$24$	−0.121824	−	0.294236i	−0.0248673	−	0.0600606i
$25$	3.88387	+	2.82180i	0.776774	+	0.564359i
$26$	4.44297	+	2.50200i	0.871339	+	0.490682i
$27$	−0.641131	−	0.208316i	−0.123386	−	0.0400905i
$28$	3.41748	−	4.87962i	0.645843	−	0.922162i
$29$	2.16532	−	4.86338i	0.402089	−	0.903107i	−0.593100	−	0.805129i	$-0.702096\pi$
$29$	2.16532	−	4.86338i	0.402089	−	0.903107i	0.995189	−	0.0979777i	$-0.0312374\pi$
$30$	−0.0498235	+	0.0506956i	−0.00909648	+	0.00925571i
$31$	−3.06896	+	0.997165i	−0.551201	+	0.179096i	−0.571358	−	0.820701i	$-0.693583\pi$
$31$	−3.06896	+	0.997165i	−0.551201	+	0.179096i	0.0201572	+	0.999797i	$0.493583\pi$
$32$	1.22576	−	5.52245i	0.216686	−	0.976241i
$33$	−0.0562427	+	0.369166i	−0.00979059	+	0.0642635i
$34$	−7.20916	+	2.83934i	−1.23636	+	0.486943i
$35$	−1.30063	−	0.276457i	−0.219847	−	0.0467298i
$36$	−3.59515	−	4.77193i	−0.599192	−	0.795321i
$37$	−10.1520	−	4.51996i	−1.66898	−	0.743076i	−0.668977	−	0.743283i	$-0.733267\pi$
$37$	−10.1520	−	4.51996i	−1.66898	−	0.743076i	−1.00000		0.000206858i	$0.999934\pi$
$38$	11.1170	−	0.679380i	1.80341	−	0.110210i
$39$	−0.392338	−	0.104265i	−0.0628244	−	0.0166958i
$40$	−1.24151	+	0.229906i	−0.196300	+	0.0363513i
$41$	0.426985	+	0.0448780i	0.0666839	+	0.00700876i	0.137812	−	0.990458i	$-0.455993\pi$
$41$	0.426985	+	0.0448780i	0.0666839	+	0.00700876i	−0.0711277	+	0.997467i	$0.522660\pi$
$42$	−0.166123	+	0.444247i	−0.0256333	+	0.0685488i
$43$	−0.115931	+	0.200799i	−0.0176793	+	0.0306215i	−0.874730	−	0.484611i	$-0.838961\pi$
$43$	−0.115931	+	0.200799i	−0.0176793	+	0.0306215i	0.857050	+	0.515233i	$0.172294\pi$
$44$	−4.58014	+	4.79816i	−0.690481	+	0.723350i
$45$	−0.666775	+	1.15489i	−0.0993969	+	0.172161i
$46$	8.22826	−	1.37651i	1.21319	−	0.202956i
$47$	0.413172	−	0.568683i	0.0602674	−	0.0829509i	−0.777819	−	0.628488i	$-0.783674\pi$
$47$	0.413172	−	0.568683i	0.0602674	−	0.0829509i	0.838087	+	0.545537i	$0.183674\pi$
$48$	0.0156267	+	0.450097i	0.00225552	+	0.0649659i
$49$	−1.83155	+	0.389308i	−0.261650	+	0.0556155i
$50$	−3.74695	−	5.66165i	−0.529899	−	0.800678i
$51$	0.499055	−	0.362585i	0.0698817	−	0.0507720i
$52$	−4.64597	−	5.51498i	−0.644279	−	0.764790i
$53$	−0.743822	−	2.28925i	−0.102172	−	0.314453i	0.886884	−	0.461991i	$-0.152865\pi$
$53$	−0.743822	−	2.28925i	−0.102172	−	0.314453i	−0.989056	+	0.147539i	$0.952865\pi$
$54$	0.746075	+	0.593516i	0.101528	+	0.0807673i
$55$	1.38532	+	0.522429i	0.186796	+	0.0704444i
$56$	−6.94394	+	4.77089i	−0.927924	+	0.637537i
$57$	−0.843326	+	0.274013i	−0.111701	+	0.0362940i
$58$	−5.27724	+	5.36962i	−0.692936	+	0.705065i
$59$	−4.19239	+	0.440638i	−0.545803	+	0.0573662i	−0.373418	−	0.927663i	$-0.621814\pi$
$59$	−4.19239	+	0.440638i	−0.545803	+	0.0573662i	−0.172386	+	0.985030i	$0.555147\pi$
$60$	0.0911089	−	0.0424736i	0.0117621	−	0.00548332i
$61$	−10.2377	+	9.21806i	−1.31080	+	1.18025i	−0.339986	+	0.940431i	$0.610422\pi$
$61$	−10.2377	+	9.21806i	−1.31080	+	1.18025i	−0.970817	+	0.239821i	$0.922911\pi$
$62$	4.55916	+	0.199288i	0.579014	+	0.0253096i
$63$	−0.930120	+	8.84950i	−0.117184	+	1.11493i
$64$	−4.35915	+	6.70804i	−0.544893	+	0.838505i
$65$	−0.727769	+	1.43560i	−0.0902686	+	0.178064i
$66$	0.257361	−	0.461149i	0.0316790	−	0.0567635i
$67$	−7.40122	+	4.27310i	−0.904203	+	0.522042i	−0.878562	−	0.477629i	$-0.841496\pi$
$67$	−7.40122	+	4.27310i	−0.904203	+	0.522042i	−0.0256418	+	0.999671i	$0.508163\pi$
$68$	10.9559	−	0.190128i	1.32860	−	0.0230565i
$69$	−0.606771	+	0.270152i	−0.0730466	+	0.0325225i
$70$	1.58591	+	1.01045i	0.189553	+	0.120772i
$71$	2.56904	−	2.31318i	0.304889	−	0.274524i	−0.502456	−	0.864603i	$-0.667570\pi$
$71$	2.56904	−	2.31318i	0.304889	−	0.274524i	0.807345	+	0.590079i	$0.200903\pi$
$72$	2.39854	+	8.10184i	0.282671	+	0.954811i
$73$	−2.16710	−	2.98276i	−0.253640	−	0.349105i	0.663142	−	0.748494i	$-0.269223\pi$
$73$	−2.16710	−	2.98276i	−0.253640	−	0.349105i	−0.916782	+	0.399388i	$0.869223\pi$
$74$	11.2087	+	11.0159i	1.30299	+	1.28057i
$75$	0.401687	+	0.361681i	0.0463828	+	0.0417633i
$76$	−15.0624	−	4.60670i	−1.72778	−	0.528425i
$77$	9.86237	−	0.575148i	1.12392	−	0.0655442i
$78$	0.468057	+	0.332452i	0.0529970	+	0.0376427i
$79$	0.124784	+	0.384047i	0.0140394	+	0.0432087i	0.957831	−	0.287333i	$-0.0927686\pi$
$79$	0.124784	+	0.384047i	0.0140394	+	0.0432087i	−0.943791	+	0.330542i	$0.892769\pi$
$80$	1.75842	+	0.310424i	0.196598	+	0.0347064i
$81$	8.11783	+	3.61429i	0.901981	+	0.401588i
$82$	−0.543368	−	0.270947i	−0.0600049	−	0.0299211i
$83$	3.09243	−	9.51752i	0.339438	−	1.04468i	−0.625056	−	0.780580i	$-0.714924\pi$
$83$	3.09243	−	9.51752i	0.339438	−	1.04468i	0.964494	−	0.264104i	$-0.0850762\pi$
$84$	0.440102	−	0.506176i	0.0480191	−	0.0552284i
$85$	−0.994771	−	2.23429i	−0.107898	−	0.242343i
$86$	0.253028	−	0.208559i	0.0272848	−	0.0224895i
$87$	0.299699	−	0.519094i	0.0321311	−	0.0556528i
$88$	8.44368	−	4.08709i	0.900099	−	0.435685i
$89$	−1.82533	−	3.16156i	−0.193484	−	0.335125i	0.752918	−	0.658114i	$-0.228646\pi$
$89$	−1.82533	−	3.16156i	−0.193484	−	0.335125i	−0.946403	+	0.322989i	$0.895312\pi$
$90$	1.45529	−	1.19952i	0.153401	−	0.126441i
$91$	−0.540086	+	10.7262i	−0.0566164	+	1.12441i
$92$	−11.5812	−	2.25238i	−1.20743	−	0.234827i
$93$	−0.355383	+	0.0755390i	−0.0368515	+	0.00783303i
$94$	−0.828989	+	0.548635i	−0.0855036	+	0.0565874i
$95$	0.367488	+	3.49641i	0.0377035	+	0.358725i
$96$	0.202249	−	0.603952i	0.0206420	−	0.0616406i
$97$	7.47034	+	1.58787i	0.758498	+	0.161224i	0.570897	−	0.821022i	$-0.306595\pi$
$97$	7.47034	+	1.58787i	0.758498	+	0.161224i	0.187601	+	0.982245i	$0.439929\pi$
$98$	2.61897	+	0.391542i	0.264556	+	0.0395518i
$99$	2.50791	−	9.58517i	0.252054	−	0.963346i
$100$	2.15891	+	9.35558i	0.215891	+	0.935558i
$101$	−7.22733	−	6.50752i	−0.719146	−	0.647522i	0.226016	−	0.974124i	$-0.427430\pi$
$101$	−7.22733	−	6.50752i	−0.719146	−	0.647522i	−0.945162	+	0.326601i	$0.894097\pi$
$102$	−0.840664	+	0.233091i	−0.0832381	+	0.0230794i
$103$	−5.13074	−	7.06186i	−0.505547	−	0.695826i	0.477614	−	0.878570i	$-0.341502\pi$
$103$	−5.13074	−	7.06186i	−0.505547	−	0.695826i	−0.983160	+	0.182744i	$0.941502\pi$
$104$	3.42242	+	9.60661i	0.335596	+	0.942006i
$105$	−0.142385	−	0.0462636i	−0.0138953	−	0.00451487i
$106$	−0.148656	+	3.40085i	−0.0144388	+	0.330320i
$107$	0.809435	−	7.70126i	0.0782510	−	0.744509i	−0.883100	−	0.469184i	$-0.844548\pi$
$107$	0.809435	−	7.70126i	0.0782510	−	0.744509i	0.961351	−	0.275325i	$-0.0887853\pi$
$108$	−0.694283	−	1.15575i	−0.0668075	−	0.111212i
$109$		−	16.7223i		−	1.60171i	−0.598860	−	0.800854i	$-0.704379\pi$
$109$		−	16.7223i		−	1.60171i	0.598860	−	0.800854i	$-0.295621\pi$
$110$	−1.57625	−	1.37822i	−0.150290	−	0.131408i
$111$	−1.08358	−	0.625603i	−0.102848	−	0.0593796i
$112$	11.5613	−	2.88009i	1.09244	−	0.272142i
$113$	1.99120	−	0.886539i	0.187316	−	0.0833986i	−0.310935	−	0.950431i	$-0.600642\pi$
$113$	1.99120	−	0.886539i	0.187316	−	0.0833986i	0.498252	+	0.867032i	$0.333976\pi$
$114$	1.25282	+	0.0547629i	0.117338	+	0.00512901i
$115$	0.547511	+	2.57584i	0.0510557	+	0.240198i
$116$	9.65015	−	4.49875i	0.895994	−	0.417699i
$117$	10.0634	+	3.83934i	0.930365	+	0.354947i
$118$	5.77163	+	1.49296i	0.531322	+	0.137438i
$119$	−12.1277	−	10.9198i	−1.11174	−	1.00102i
$120$	−0.141724	+	0.0111323i	−0.0129376	+	0.00101624i
$121$	−10.9525	−	1.02083i	−0.995684	−	0.0928029i
$122$	18.1272	−	7.13943i	1.64116	−	0.646374i
$123$	0.0472836	+	0.0100504i	0.00426342	+	0.000906218i
$124$	−5.94049	−	2.52230i	−0.533471	−	0.226509i
$125$	3.53951	−	2.57160i	0.316583	−	0.230011i
$126$	5.61553	−	11.2616i	0.500271	−	1.00326i
$127$	16.3440	−	3.47402i	1.45029	−	0.308269i	0.585612	−	0.810591i	$-0.300854\pi$
$127$	16.3440	−	3.47402i	1.45029	−	0.308269i	0.864681	+	0.502322i	$0.167521\pi$
$128$	9.09698	−	6.72644i	0.804067	−	0.594539i
$129$	−0.0153446	+	0.0211201i	−0.00135102	+	0.00185952i
$130$	1.67513	−	1.54114i	0.146918	−	0.135167i
$131$	12.8545			1.12310			0.561551	−	0.827442i	$-0.310205\pi$
$131$	12.8545			1.12310			0.561551	+	0.827442i	$0.310205\pi$
$132$	−0.569332	+	0.483372i	−0.0495540	+	0.0420721i
$133$	11.7293	+	20.3158i	1.01706	+	1.76161i
$134$	11.9205	−	1.99419i	1.02977	−	0.172272i
$135$	−0.176883	+	0.243459i	−0.0152237	+	0.0209536i
$136$	−14.6067	−	5.17498i	−1.25251	−	0.443751i
$137$	6.18863	+	6.87317i	0.528730	+	0.587214i	0.947050	−	0.321085i	$-0.104048\pi$
$137$	6.18863	+	6.87317i	0.528730	+	0.587214i	−0.418320	+	0.908300i	$0.637381\pi$
$138$	0.937562	−	0.0572962i	0.0798106	−	0.00487738i
$139$	1.35806	+	12.9211i	0.115189	+	1.09595i	0.887532	+	0.460746i	$0.152418\pi$
$139$	1.35806	+	12.9211i	0.115189	+	1.09595i	−0.772343	+	0.635206i	$0.780915\pi$
$140$	−1.60024	−	2.12403i	−0.135245	−	0.179513i
$141$	0.0529579	−	0.0588158i	0.00445986	−	0.00495318i
$142$	−4.54883	+	1.79156i	−0.381729	+	0.150345i
$143$	2.39329	−	11.7163i	0.200137	−	0.979768i
$144$	0.835949	−	11.9200i	0.0696624	−	0.993335i
$145$	−1.76607	−	1.59018i	−0.146664	−	0.132057i
$146$	1.39314	+	5.02449i	0.115297	+	0.415830i
$147$	−0.209670	+	0.0220372i	−0.0172933	+	0.00181760i
$148$	−9.39086	−	20.1441i	−0.771924	−	1.65583i
$149$	10.9595	−	9.86798i	0.897838	−	0.808417i	−0.0843274	−	0.996438i	$-0.526874\pi$
$149$	10.9595	−	9.86798i	0.897838	−	0.808417i	0.982165	+	0.188022i	$0.0602075\pi$
$150$	−0.352934	−	0.678063i	−0.0288169	−	0.0553636i
$151$	−7.09677	−	5.15611i	−0.577527	−	0.419598i	0.260305	−	0.965527i	$-0.416177\pi$
$151$	−7.09677	−	5.15611i	−0.577527	−	0.419598i	−0.837832	+	0.545928i	$0.816177\pi$
$152$	17.6702	+	13.5631i	1.43325	+	1.10011i
$153$	−14.1741	+	8.18342i	−1.14591	+	0.661591i
$154$	−13.3489	−	4.12332i	−1.07568	−	0.332267i
$155$			1.44049i			0.115703i
$156$	−0.455327	−	0.672220i	−0.0364553	−	0.0538207i
$157$	7.25088	+	5.26807i	0.578683	+	0.420438i	0.838249	−	0.545287i	$-0.183580\pi$
$157$	7.25088	+	5.26807i	0.578683	+	0.420438i	−0.259566	+	0.965725i	$0.583580\pi$
$158$	0.0249388	−	0.570530i	0.00198402	−	0.0453890i
$159$	−0.0563474	−	0.265094i	−0.00446864	−	0.0210233i
$160$	−2.17549	−	1.28220i	−0.171988	−	0.101367i
$161$	10.3283	+	14.2157i	0.813982	+	1.12035i
$162$	−8.96283	−	8.80864i	−0.704186	−	0.692072i
$163$	−1.49169	+	7.01785i	−0.116838	+	0.549680i	0.880322	+	0.474376i	$0.157326\pi$
$163$	−1.49169	+	7.01785i	−0.116838	+	0.549680i	−0.997161	+	0.0753045i	$0.976007\pi$
$164$	0.585551	+	0.628054i	0.0457239	+	0.0490428i
$165$	0.148973	+	0.0748031i	0.0115975	+	0.00582341i
$166$	−8.81069	+	11.0754i	−0.683842	+	0.859618i
$167$	−5.26358	+	5.84580i	−0.407308	+	0.452362i	−0.911543	−	0.411205i	$-0.865108\pi$
$167$	−5.26358	+	5.84580i	−0.407308	+	0.452362i	0.504235	+	0.863567i	$0.331775\pi$
$168$	−0.833699	+	0.452498i	−0.0643213	+	0.0349110i
$169$	12.3801	+	3.96649i	0.952316	+	0.305115i
$170$	0.210980	+	3.45235i	0.0161814	+	0.264784i
$171$	23.0127	−	4.89151i	1.75983	−	0.374063i
$172$	−0.438476	+	0.150930i	−0.0334334	+	0.0115083i
$173$	8.57394	+	19.2574i	0.651865	+	1.46411i	0.872430	+	0.488740i	$0.162543\pi$
$173$	8.57394	+	19.2574i	0.651865	+	1.46411i	−0.220565	+	0.975372i	$0.570790\pi$
$174$	−0.654116	+	0.539156i	−0.0495884	+	0.0408733i
$175$	7.14989	−	12.3840i	0.540481	−	0.936140i
$176$	−13.2092	+	1.23143i	−0.995683	+	0.0928222i
$177$	−0.474630			−0.0356754
$178$	0.851852	+	5.09205i	0.0638490	+	0.381665i
$179$	−24.2506	−	2.54884i	−1.81257	−	0.190509i	−0.863243	−	0.504788i	$-0.831571\pi$
$179$	−24.2506	−	2.54884i	−1.81257	−	0.190509i	−0.949331	+	0.314279i	$0.898237\pi$
$180$	−2.52188	+	0.868068i	−0.187970	+	0.0647020i
$181$	0.730801	−	2.24917i	0.0543200	−	0.167180i	−0.920216	−	0.391411i	$-0.871987\pi$
$181$	0.730801	−	2.24917i	0.0543200	−	0.167180i	0.974536	+	0.224231i	$0.0719871\pi$
$182$	6.02845	−	13.9407i	0.446859	−	1.03335i
$183$	−1.25486	+	0.911707i	−0.0927617	+	0.0673953i
$184$	14.2252	+	8.72016i	1.04869	+	0.642859i
$185$	−3.31939	+	3.68656i	−0.244047	+	0.271041i
$186$	0.508168	+	0.0759725i	0.0372607	+	0.00557057i
$187$	11.5184	+	14.0539i	0.842308	+	1.02772i
$188$	1.36986	−	0.316112i	0.0999074	−	0.0230548i
$189$	−0.417486	+	1.96412i	−0.0303676	+	0.142868i
$190$	1.24511	−	4.81348i	0.0903298	−	0.349207i
$191$	13.1499	−	1.38211i	0.951490	−	0.100006i	0.383952	−	0.923353i	$-0.374563\pi$
$191$	13.1499	−	1.38211i	0.951490	−	0.100006i	0.567538	+	0.823347i	$0.307896\pi$
$192$	−0.567064	+	0.699832i	−0.0409243	+	0.0505060i
$193$	−3.23655	−	15.2267i	−0.232972	−	1.09605i	−0.926698	−	0.375807i	$-0.877366\pi$
$193$	−3.23655	−	15.2267i	−0.232972	−	1.09605i	0.693726	−	0.720239i	$-0.255968\pi$
$194$	−9.10891	−	5.80366i	−0.653981	−	0.416679i
$195$	−0.0983878	+	0.152186i	−0.00704570	+	0.0108983i
$196$	−3.27522	−	1.81591i	−0.233944	−	0.129708i
$197$	0.128316	−	0.0740834i	0.00914215	−	0.00527822i	−0.495422	−	0.868652i	$-0.664987\pi$
$197$	0.128316	−	0.0740834i	0.00914215	−	0.00527822i	0.504564	+	0.863374i	$0.331653\pi$
$198$	−8.06992	+	11.4545i	−0.573504	+	0.814039i
$199$	−10.0204	−	5.78528i	−0.710327	−	0.410108i	0.100855	−	0.994901i	$-0.467842\pi$
$199$	−10.0204	−	5.78528i	−0.710327	−	0.410108i	−0.811182	+	0.584793i	$0.801176\pi$
$200$	1.77439	−	13.4621i	0.125468	−	0.951912i
$201$	−0.879044	+	0.391376i	−0.0620030	+	0.0276055i
$202$	6.35013	+	12.2000i	0.446794	+	0.858389i
$203$	−15.0812	−	4.90019i	−1.05849	−	0.343926i
$204$	1.22903	+	0.107651i	0.0860490	+	0.00753707i
$205$	0.0779541	−	0.175088i	0.00544455	−	0.0122287i
$206$	3.29835	+	11.8958i	0.229807	+	0.828818i
$207$	16.7601	−	5.44567i	1.16490	−	0.378500i
$208$	0.225053	−	14.4204i	0.0156046	−	0.999878i
$209$	−9.50418	−	24.3298i	−0.657418	−	1.68293i
$210$	0.165691	+	0.131810i	0.0114338	+	0.00909577i
$211$	15.0267	−	16.6888i	1.03448	−	1.14891i	0.0457872	−	0.998951i	$-0.485420\pi$
$211$	15.0267	−	16.6888i	1.03448	−	1.14891i	0.988693	−	0.149955i	$-0.0479130\pi$
$212$	1.88147	−	4.43123i	0.129220	−	0.304338i
$213$	0.314893	−	0.228783i	0.0215761	−	0.0156760i
$214$	−4.88690	+	9.80037i	−0.334062	+	0.669940i
$215$	0.0692577	+	0.0769185i	0.00472334	+	0.00524580i
$216$	0.347187	+	1.87484i	0.0236231	+	0.127567i
$217$	3.90949	+	8.78086i	0.265393	+	0.596084i
$218$	−8.28315	+	22.1509i	−0.561006	+	1.50025i
$219$	−0.207557	−	0.359500i	−0.0140254	−	0.0242927i
$220$	1.40527	+	2.60640i	0.0947432	+	0.175724i
$221$	−16.5450	+	10.7927i	−1.11294	+	0.725998i
$222$	1.12545	+	1.36543i	0.0755355	+	0.0916413i
$223$	13.2744	+	1.39519i	0.888917	+	0.0934290i	0.537968	−	0.842965i	$-0.319192\pi$
$223$	13.2744	+	1.39519i	0.888917	+	0.0934290i	0.350949	+	0.936394i	$0.385859\pi$
$224$	−16.7411	−	1.91169i	−1.11856	−	0.127730i
$225$	−9.59621	−	10.6577i	−0.639748	−	0.710512i
$226$	−3.07674	+	0.188025i	−0.204661	+	0.0125073i
$227$	1.80288	+	17.1533i	0.119661	+	1.13850i	0.875323	+	0.483539i	$0.160649\pi$
$227$	1.80288	+	17.1533i	0.119661	+	1.13850i	−0.755662	+	0.654962i	$0.772684\pi$
$228$	−1.63240	−	0.693108i	−0.108108	−	0.0459022i
$229$	−2.65743	−	8.17872i	−0.175608	−	0.540465i	0.824053	−	0.566513i	$-0.191708\pi$
$229$	−2.65743	−	8.17872i	−0.175608	−	0.540465i	−0.999661	+	0.0260478i	$0.991708\pi$
$230$	0.550653	−	3.68323i	0.0363090	−	0.242865i
$231$	1.11111	+	0.0516686i	0.0731057	+	0.00339955i
$232$	−15.0113	+	1.17912i	−0.985538	+	0.0774132i
$233$	−20.3041	+	6.59720i	−1.33016	+	0.432197i	−0.885974	−	0.463736i	$-0.846509\pi$
$233$	−20.3041	+	6.59720i	−1.33016	+	0.432197i	−0.444191	+	0.895932i	$0.646509\pi$
$234$	−11.4286	−	10.0705i	−0.747109	−	0.658327i
$235$	−0.184441	−	0.253862i	−0.0120316	−	0.0165601i
$236$	−6.90576	−	4.83651i	−0.449527	−	0.314830i
$237$	0.00945290	+	0.0444724i	0.000614032	+	0.00288879i
$238$	10.6557	+	20.4720i	0.690709	+	1.32700i
$239$	20.1020	+	14.6049i	1.30029	+	0.944715i	0.999958	−	0.00911971i	$-0.00290293\pi$
$239$	20.1020	+	14.6049i	1.30029	+	0.944715i	0.300331	+	0.953835i	$0.402903\pi$
$240$	0.193246	+	0.0554548i	0.0124740	+	0.00357959i
$241$	−13.5910	−	7.84676i	−0.875472	−	0.505454i	−0.00630923	−	0.999980i	$-0.502008\pi$
$241$	−13.5910	−	7.84676i	−0.875472	−	0.505454i	−0.869163	+	0.494526i	$0.835342\pi$
$242$	14.0024	+	6.77739i	0.900108	+	0.435667i
$243$	2.61789	+	1.51144i	0.167938	+	0.0969588i
$244$	−27.5482	+	0.478072i	−1.76359	+	0.0306054i
$245$	−0.0873729	+	0.831297i	−0.00558205	+	0.0531096i
$246$	−0.0576550	−	0.0367344i	−0.00367595	−	0.00234210i
$247$	27.4131	−	7.40557i	1.74425	−	0.471205i
$248$	6.61956	+	6.28364i	0.420343	+	0.399011i
$249$	0.458288	−	1.02933i	0.0290428	−	0.0652313i
$250$	−5.96234	+	1.65318i	−0.377092	+	0.104556i
$251$	−3.59248	+	16.9013i	−0.226755	+	1.06680i	0.706536	+	0.707677i	$0.250257\pi$
$251$	−3.59248	+	16.9013i	−0.226755	+	1.06680i	−0.933291	+	0.359121i	$0.883076\pi$
$252$	−13.0168	+	12.1359i	−0.819979	+	0.764488i
$253$	−8.98494	−	17.3800i	−0.564879	−	1.09267i
$254$	−23.3705	−	3.49395i	−1.46640	−	0.219230i
$255$	−0.0850942	−	0.261893i	−0.00532881	−	0.0164004i
$256$	−15.3820	+	4.40398i	−0.961373	+	0.275249i
$257$	4.87104	+	2.16872i	0.303847	+	0.135281i	0.552996	−	0.833184i	$-0.313484\pi$
$257$	4.87104	+	2.16872i	0.303847	+	0.135281i	−0.249149	+	0.968465i	$0.580151\pi$
$258$	0.0307875	−	0.0203756i	0.00191674	−	0.00126853i
$259$	−10.2288	+	31.4811i	−0.635588	+	1.95614i
$260$	−2.98230	+	1.21170i	−0.184955	+	0.0751461i
$261$	−9.34779	+	12.8661i	−0.578614	+	0.796393i
$262$	−17.0274	−	6.36727i	−1.05196	−	0.393371i
$263$	−15.2326	−	26.3837i	−0.939284	−	1.62689i	−0.766810	−	0.641874i	$-0.778157\pi$
$263$	−15.2326	−	26.3837i	−0.939284	−	1.62689i	−0.172474	−	0.985014i	$-0.555176\pi$
$264$	0.993585	−	0.358278i	0.0611509	−	0.0220505i
$265$	−1.07452			−0.0660072
$266$	−5.47390	−	32.7209i	−0.335626	−	2.00625i
$267$	−0.167183	−	0.375499i	−0.0102314	−	0.0229802i
$268$	−16.7780	−	3.26308i	−1.02488	−	0.199324i
$269$	6.70573	+	7.44747i	0.408856	+	0.454080i	0.912041	−	0.410098i	$-0.134506\pi$
$269$	6.70573	+	7.44747i	0.408856	+	0.454080i	−0.503186	+	0.864178i	$0.667839\pi$
$270$	0.354898	−	0.234876i	0.0215984	−	0.0142941i
$271$	−11.1921	−	4.98302i	−0.679869	−	0.302697i	0.0375948	−	0.999293i	$-0.488030\pi$
$271$	−11.1921	−	4.98302i	−0.679869	−	0.302697i	−0.717464	+	0.696596i	$0.754697\pi$
$272$	16.7851	+	14.0901i	1.01774	+	0.854339i
$273$	−0.186713	+	1.19471i	−0.0113004	+	0.0723070i
$274$	−4.79312	−	12.1698i	−0.289563	−	0.735207i
$275$	−9.94709	+	12.4327i	−0.599832	+	0.749720i
$276$	−1.27030	−	0.388511i	−0.0764633	−	0.0233856i
$277$	−2.91398	+	13.7092i	−0.175084	+	0.823706i	0.799673	+	0.600436i	$0.205006\pi$
$277$	−2.91398	+	13.7092i	−0.175084	+	0.823706i	−0.974757	+	0.223269i	$0.928327\pi$
$278$	4.60134	−	17.7883i	0.275970	−	1.06687i
$279$	9.58696	−	1.00763i	0.573957	−	0.0603253i
$280$	1.06761	+	3.60621i	0.0638021	+	0.215512i
$281$	5.36692	+	1.74382i	0.320164	+	0.104028i	0.464690	−	0.885473i	$-0.346166\pi$
$281$	5.36692	+	1.74382i	0.320164	+	0.104028i	−0.144526	+	0.989501i	$0.546166\pi$
$282$	−0.0992832	+	0.0516772i	−0.00591223	+	0.00307733i
$283$	−0.0825131	+	0.785060i	−0.00490489	+	0.0466669i	−0.996701	−	0.0811662i	$-0.974136\pi$
$283$	−0.0825131	+	0.785060i	−0.00490489	+	0.0466669i	0.991796	+	0.127833i	$0.0408022\pi$
$284$	6.91293	−	0.119967i	0.410207	−	0.00711874i
$285$			0.395837i			0.0234474i
$286$	−8.97373	+	14.3343i	−0.530628	+	0.847605i
$287$		−	1.27885i		−	0.0754884i
$288$	−7.01172	+	15.3755i	−0.413170	+	0.906012i
$289$	1.36064	−	12.9456i	0.0800374	−	0.761505i
$290$	1.55172	+	2.98119i	0.0911202	+	0.175062i
$291$	0.817806	+	0.265721i	0.0479406	+	0.0155769i
$292$	0.643409	−	7.34566i	0.0376527	−	0.429872i
$293$	14.2680	−	1.49962i	0.833544	−	0.0876090i	0.321865	−	0.946786i	$-0.395690\pi$
$293$	14.2680	−	1.49962i	0.833544	−	0.0876090i	0.511679	+	0.859177i	$0.329024\pi$
$294$	0.288651	+	0.0746659i	0.0168345	+	0.00435460i
$295$	−0.391249	+	1.84068i	−0.0227794	+	0.107169i
$296$	2.46134	+	31.3350i	0.143063	+	1.82131i
$297$	0.788935	−	2.09200i	0.0457786	−	0.121390i
$298$	−19.4052	+	7.64279i	−1.12412	+	0.442735i
$299$	19.8412	−	7.66302i	1.14744	−	0.443164i
$300$	0.131638	+	1.07300i	0.00760013	+	0.0619498i
$301$	0.630932	+	0.280909i	0.0363663	+	0.0161913i
$302$	6.84659	+	10.3452i	0.393977	+	0.595300i
$303$	−0.732695	−	0.813740i	−0.0420922	−	0.0467481i
$304$	−16.6882	−	26.7188i	−0.957137	−	1.53243i
$305$	2.50132	+	5.61805i	0.143225	+	0.321689i
$306$	22.8290	−	3.81907i	1.30505	−	0.218322i
$307$	−17.5767			−1.00315			−0.501577	−	0.865113i	$-0.667247\pi$
$307$	−17.5767			−1.00315			−0.501577	+	0.865113i	$0.667247\pi$
$308$	15.6399	+	12.0740i	0.891166	+	0.687982i
$309$	−0.491405	−	0.851138i	−0.0279550	−	0.0484195i
$310$	0.713527	−	1.90812i	0.0405256	−	0.108374i
$311$	5.32521	−	7.32952i	0.301965	−	0.415619i	−0.630890	−	0.775873i	$-0.717310\pi$
$311$	5.32521	−	7.32952i	0.301965	−	0.415619i	0.932854	+	0.360254i	$0.117310\pi$
$312$	0.270165	+	1.11598i	0.0152951	+	0.0631800i
$313$	−2.75783	+	8.48772i	−0.155882	+	0.479754i	−0.998249	−	0.0591492i	$-0.981161\pi$
$313$	−2.75783	+	8.48772i	−0.155882	+	0.479754i	0.842368	+	0.538903i	$0.181161\pi$
$314$	−6.99527	−	10.5699i	−0.394766	−	0.596492i
$315$	3.62879	+	1.61564i	0.204459	+	0.0910310i
$316$	−0.315638	+	0.743388i	−0.0177560	+	0.0418189i
$317$	0.329628	+	1.01449i	0.0185137	+	0.0569794i	0.959887	−	0.280389i	$-0.0904633\pi$
$317$	0.329628	+	1.01449i	0.0185137	+	0.0569794i	−0.941373	+	0.337368i	$0.890463\pi$
$318$	−0.0566707	+	0.379062i	−0.00317794	+	0.0212567i
$319$	15.7790	+	7.92305i	0.883454	+	0.443606i
$320$	2.24660	+	2.77604i	0.125589	+	0.155186i
$321$	0.181273	−	0.852824i	0.0101177	−	0.0476000i
$322$	−6.63963	−	23.9464i	−0.370012	−	1.33448i
$323$	−17.5500	+	39.4180i	−0.976509	+	2.19328i
$324$	7.50920	+	16.1078i	0.417178	+	0.894877i
$325$	−12.2646	−	12.2144i	−0.680315	−	0.677532i
$326$	5.45212	−	8.55716i	0.301965	−	0.473937i
$327$	0.196806	−	1.87249i	0.0108834	−	0.103549i
$328$	−0.464541	−	1.12198i	−0.0256500	−	0.0619511i
$329$	−1.81328	−	1.04690i	−0.0999695	−	0.0577174i
$330$	−0.160281	−	0.172878i	−0.00882317	−	0.00951660i
$331$	−15.2528	−	8.80619i	−0.838368	−	0.484032i	0.0183412	−	0.999832i	$-0.494161\pi$
$331$	−15.2528	−	8.80619i	−0.838368	−	0.484032i	−0.856709	+	0.515800i	$0.827495\pi$
$332$	17.1569	−	10.3066i	0.941609	−	0.565646i
$333$	26.8572	+	19.5129i	1.47177	+	1.06930i
$334$	9.86793	−	5.13628i	0.539949	−	0.281045i
$335$	0.793193	+	3.73168i	0.0433368	+	0.203883i
$336$	1.32848	−	0.186432i	0.0724746	−	0.0101707i
$337$	−0.412822	−	0.568201i	−0.0224878	−	0.0309519i	0.797625	−	0.603154i	$-0.206089\pi$
$337$	−0.412822	−	0.568201i	−0.0224878	−	0.0309519i	−0.820113	+	0.572202i	$0.806089\pi$
$338$	−14.4343	−	11.3864i	−0.785123	−	0.619340i
$339$	0.233399	−	0.0758359i	0.0126765	−	0.00411884i
$340$	1.43060	−	4.67760i	0.0775853	−	0.253678i
$341$	−2.83084	−	10.3212i	−0.153299	−	0.558925i
$342$	−32.9063	−	4.91957i	−1.77937	−	0.266020i
$343$	−4.71968	−	14.5257i	−0.254839	−	0.784314i
$344$	0.655578	+	0.0172663i	0.0353464	+	0.000930939i
$345$	0.0309925	+	0.294874i	0.00166858	+	0.0158755i
$346$	−1.81844	−	29.7559i	−0.0977599	−	1.59969i
$347$	−15.5072	−	17.2225i	−0.832471	−	0.924553i	0.165627	−	0.986188i	$-0.447035\pi$
$347$	−15.5072	−	17.2225i	−0.832471	−	0.924553i	−0.998099	+	0.0616353i	$0.980368\pi$
$348$	1.13352	−	0.390176i	0.0607633	−	0.0209156i
$349$	−30.8283	−	3.24019i	−1.65020	−	0.173443i	−0.766745	−	0.641952i	$-0.778125\pi$
$349$	−30.8283	−	3.24019i	−1.65020	−	0.173443i	−0.883459	+	0.468509i	$0.844791\pi$
$350$	−15.6052	+	12.8626i	−0.834131	+	0.687534i
$351$	2.16793	+	1.09902i	0.115716	+	0.0586615i
$352$	18.1073	+	4.91181i	0.965122	+	0.261800i
$353$	6.18496	+	10.7127i	0.329192	+	0.570178i	0.982352	−	0.187043i	$-0.0598902\pi$
$353$	6.18496	+	10.7127i	0.329192	+	0.570178i	−0.653159	+	0.757220i	$0.726557\pi$
$354$	0.628709	+	0.235101i	0.0334155	+	0.0124955i
$355$	−0.627680	−	1.40979i	−0.0333138	−	0.0748240i
$356$	1.39388	−	7.16703i	0.0738755	−	0.379852i
$357$	−1.22949	−	1.36548i	−0.0650713	−	0.0722690i
$358$	30.8605	+	15.3884i	1.63103	+	0.813304i
$359$	−5.18444	+	3.76671i	−0.273624	+	0.198800i	−0.716132	−	0.697965i	$-0.754089\pi$
$359$	−5.18444	+	3.76671i	−0.273624	+	0.198800i	0.442508	+	0.896765i	$0.354089\pi$
$360$	3.77054	+	0.0993069i	0.198725	+	0.00523393i
$361$	28.7890	−	31.9734i	1.51521	−	1.68281i
$362$	−2.08213	+	2.61733i	−0.109435	+	0.137564i
$363$	−1.21440	−	0.243209i	−0.0637394	−	0.0127652i
$364$	−14.8908	+	15.4801i	−0.780488	+	0.811378i
$365$	−1.56529	+	0.508592i	−0.0819308	+	0.0266209i
$366$	2.11382	−	0.586099i	0.110491	−	0.0306359i
$367$	7.62713	−	17.1308i	0.398133	−	0.894221i	−0.597588	−	0.801804i	$-0.703874\pi$
$367$	7.62713	−	17.1308i	0.398133	−	0.894221i	0.995720	−	0.0924172i	$-0.0294594\pi$
$368$	−14.5237	−	18.5972i	−0.757099	−	0.969446i
$369$	−1.21980	−	0.396336i	−0.0635000	−	0.0206324i
$370$	6.22305	−	3.23912i	0.323521	−	0.168394i
$371$	−6.54997	+	2.91623i	−0.340058	+	0.151403i
$372$	−0.635503	−	0.352349i	−0.0329493	−	0.0182684i
$373$	−2.86085	−	1.65171i	−0.148129	−	0.0855224i	0.424104	−	0.905614i	$-0.360589\pi$
$373$	−2.86085	−	1.65171i	−0.148129	−	0.0855224i	−0.572233	+	0.820091i	$0.693923\pi$
$374$	−8.29620	−	24.3217i	−0.428987	−	1.25764i
$375$	0.426603	−	0.246299i	0.0220297	−	0.0127188i
$376$	−1.97114	−	0.259809i	−0.101654	−	0.0133986i
$377$	−10.4211	+	16.1194i	−0.536715	+	0.830190i
$378$	1.52591	−	2.39493i	0.0784843	−	0.123182i
$379$	3.68915	+	17.3561i	0.189499	+	0.891522i	0.965421	+	0.260694i	$0.0839514\pi$
$379$	3.68915	+	17.3561i	0.189499	+	0.891522i	−0.775923	+	0.630828i	$0.782715\pi$
$380$	−4.03360	+	5.75934i	−0.206919	+	0.295448i
$381$	1.87101	−	0.196651i	0.0958546	−	0.0100747i
$382$	−18.1033	−	4.68281i	−0.926245	−	0.239593i
$383$	3.11757	−	14.6670i	0.159300	−	0.749448i	−0.823873	−	0.566774i	$-0.808191\pi$
$383$	3.11757	−	14.6670i	0.159300	−	0.749448i	0.983173	−	0.182674i	$-0.0584754\pi$
$384$	1.09780	−	0.646131i	0.0560219	−	0.0329728i
$385$	1.11629	−	4.26645i	0.0568916	−	0.217439i
$386$	−3.25512	+	21.7730i	−0.165681	+	1.10822i
$387$	0.463472	−	0.514738i	0.0235596	−	0.0261656i
$388$	9.19117	+	12.1997i	0.466611	+	0.619344i
$389$	−8.59737	+	6.24635i	−0.435904	+	0.316703i	−0.784005	−	0.620754i	$-0.786826\pi$
$389$	−8.59737	+	6.24635i	−0.435904	+	0.316703i	0.348101	+	0.937457i	$0.386826\pi$
$390$	0.205710	−	0.152855i	0.0104166	−	0.00774012i
$391$	−9.98739	+	30.7380i	−0.505084	+	1.55449i
$392$	3.43896	+	4.02774i	0.173694	+	0.203432i
$393$	1.43938	+	0.151285i	0.0726073	+	0.00763134i
$394$	−0.206668	+	0.0345736i	−0.0104118	+	0.00174179i
$395$	0.180262			0.00906999
$396$	16.3635	−	11.1757i	0.822296	−	0.561601i
$397$	1.41481	−	2.45053i	0.0710075	−	0.122989i	−0.828336	−	0.560232i	$-0.810712\pi$
$397$	1.41481	−	2.45053i	0.0710075	−	0.122989i	0.899343	+	0.437244i	$0.144045\pi$
$398$	10.4077	+	12.6268i	0.521689	+	0.632925i
$399$	1.07430	+	2.41291i	0.0537822	+	0.120797i
$400$	−9.01864	+	16.9533i	−0.450932	+	0.847667i
$401$	−20.5039	+	4.35824i	−1.02392	+	0.217640i	−0.689117	−	0.724650i	$-0.742002\pi$
$401$	−20.5039	+	4.35824i	−1.02392	+	0.217640i	−0.334798	+	0.942290i	$0.608668\pi$
$402$	1.35827	−	0.0830065i	0.0677444	−	0.00413999i
$403$	11.4877	−	1.84363i	0.572245	−	0.0918376i
$404$	−2.36849	−	19.3059i	−0.117837	−	0.960505i
$405$	2.65428	−	2.94788i	0.131892	−	0.146481i
$406$	17.5498	+	13.9612i	0.870982	+	0.692882i
$407$	16.5389	−	32.9376i	0.819801	−	1.63266i
$408$	−1.57468	−	0.751377i	−0.0779583	−	0.0371987i
$409$	−5.01634	+	23.6000i	−0.248042	+	1.16695i	0.661047	+	0.750344i	$0.270112\pi$
$409$	−5.01634	+	23.6000i	−0.248042	+	1.16695i	−0.909089	+	0.416602i	$0.863221\pi$
$410$	−0.189987	+	0.193313i	−0.00938281	+	0.00954705i
$411$	0.612082	+	0.842459i	0.0301918	+	0.0415555i
$412$	1.52331	−	17.3913i	0.0750482	−	0.856807i
$413$	2.61065	+	12.2822i	0.128462	+	0.604365i
$414$	−24.8983	−	1.08834i	−1.22368	−	0.0534891i
$415$	−3.61412	−	2.62581i	−0.177410	−	0.128896i
$416$	−7.44106	+	18.9903i	−0.364828	+	0.931075i
$417$			1.46283i			0.0716349i
$418$	0.538107	+	36.9357i	0.0263197	+	1.80659i
$419$	20.4128	−	11.7854i	0.997232	−	0.575752i	0.0898040	−	0.995959i	$-0.471376\pi$
$419$	20.4128	−	11.7854i	0.997232	−	0.575752i	0.907428	+	0.420207i	$0.138043\pi$
$420$	−0.154189	−	0.256672i	−0.00752365	−	0.0125243i
$421$	21.4127	+	15.5573i	1.04359	+	0.758215i	0.970984	−	0.239146i	$-0.0768673\pi$
$421$	21.4127	+	15.5573i	1.04359	+	0.758215i	0.0726095	+	0.997360i	$0.476867\pi$
$422$	−28.1714	+	14.6633i	−1.37136	+	0.713797i
$423$	−1.56052	+	1.40509i	−0.0758749	+	0.0683180i
$424$	−4.68720	+	4.93778i	−0.227631	+	0.239800i
$425$	26.1580	−	2.74931i	1.26885	−	0.133361i
$426$	−0.530441	+	0.147076i	−0.0257000	+	0.00712583i
$427$	30.4947	+	27.4576i	1.47574	+	1.32876i
$428$	11.3278	−	10.5612i	0.547550	−	0.510495i
$429$	0.405880	−	1.28377i	0.0195961	−	0.0619811i
$430$	−0.0536404	−	0.136194i	−0.00258677	−	0.00656787i
$431$	10.1800	−	11.3060i	0.490352	−	0.544591i	−0.446286	−	0.894890i	$-0.647254\pi$
$431$	10.1800	−	11.3060i	0.490352	−	0.544591i	0.936638	+	0.350300i	$0.113920\pi$
$432$	0.468779	−	2.65544i	0.0225541	−	0.127760i
$433$	−2.24005	−	21.3126i	−0.107650	−	1.02422i	−0.906361	−	0.422504i	$-0.861151\pi$
$433$	−2.24005	−	21.3126i	−0.107650	−	1.02422i	0.798711	−	0.601715i	$-0.205516\pi$
$434$	−0.829160	−	13.5679i	−0.0398009	−	0.651280i
$435$	−0.179041	−	0.198846i	−0.00858438	−	0.00953392i
$436$	21.9442	−	25.2388i	1.05094	−	1.20872i
$437$	27.3078	−	37.5860i	1.30631	−	1.79798i
$438$	0.0968637	+	0.579014i	0.00462833	+	0.0276664i
$439$	−3.86227	−	6.68965i	−0.184336	−	0.319279i	0.759017	−	0.651071i	$-0.225680\pi$
$439$	−3.86227	−	6.68965i	−0.184336	−	0.319279i	−0.943353	+	0.331792i	$0.892347\pi$
$440$	−0.570418	−	4.14860i	−0.0271936	−	0.197777i
$441$	5.59367			0.266365
$442$	27.2620	−	6.10106i	1.29672	−	0.290198i
$443$	−0.0241097	+	0.0331841i	−0.00114548	+	0.00157662i	−0.809589	−	0.586997i	$-0.800310\pi$
$443$	−0.0241097	+	0.0331841i	−0.00114548	+	0.00157662i	0.808444	+	0.588573i	$0.200310\pi$
$444$	−0.814467	−	2.36616i	−0.0386529	−	0.112293i
$445$	−1.59405	+	0.338826i	−0.0755653	+	0.0160619i
$446$	−16.8925	−	8.42337i	−0.799884	−	0.398858i
$447$	1.34333	−	0.975987i	0.0635374	−	0.0461626i
$448$	21.2288	+	10.8247i	1.00297	+	0.511421i
$449$	−26.1004	−	5.54782i	−1.23176	−	0.261818i	−0.454353	−	0.890822i	$-0.650130\pi$
$449$	−26.1004	−	5.54782i	−1.23176	−	0.261818i	−0.777402	+	0.629004i	$0.783463\pi$
$450$	7.43231	+	18.8708i	0.350362	+	0.889578i
$451$	−0.214465	+	1.40771i	−0.0100988	+	0.0662864i
$452$	4.16867	+	1.27495i	0.196078	+	0.0599687i
$453$	−0.733981	−	0.660879i	−0.0344854	−	0.0310508i
$454$	6.10846	−	23.6147i	0.286684	−	1.10829i
$455$	4.47933	+	1.70893i	0.209994	+	0.0801157i
$456$	1.81901	+	1.72670i	0.0851828	+	0.0808600i
$457$	4.33824	+	20.4098i	0.202934	+	0.954731i	0.955221	+	0.295895i	$0.0956177\pi$
$457$	4.33824	+	20.4098i	0.202934	+	0.954731i	−0.752286	+	0.658836i	$0.771049\pi$
$458$	−0.531099	+	12.1501i	−0.0248166	+	0.567736i
$459$	−3.37407	+	1.50223i	−0.157488	+	0.0701181i
$460$	−2.55384	+	4.60616i	−0.119074	+	0.214763i
$461$	−23.7151	−	13.6919i	−1.10452	−	0.637695i	−0.167116	−	0.985937i	$-0.553445\pi$
$461$	−23.7151	−	13.6919i	−1.10452	−	0.637695i	−0.937405	+	0.348242i	$0.886779\pi$
$462$	−1.44622	−	0.618814i	−0.0672841	−	0.0287898i
$463$		−	26.5155i		−	1.23228i	−0.787637	−	0.616140i	$-0.788696\pi$
$463$		−	26.5155i		−	1.23228i	0.787637	−	0.616140i	$-0.211304\pi$
$464$	20.4684	+	5.87370i	0.950223	+	0.272680i
$465$	−0.0169533	+	0.161300i	−0.000786190	+	0.00748010i
$466$	30.1632	+	1.31848i	1.39728	+	0.0610774i
$467$	−33.6395	−	10.9301i	−1.55665	−	0.505787i	−0.600741	−	0.799444i	$-0.705128\pi$
$467$	−33.6395	−	10.9301i	−1.55665	−	0.505787i	−0.955911	+	0.293657i	$0.905128\pi$
$468$	10.1504	+	19.0006i	0.469201	+	0.878304i
$469$	14.9628	+	20.5946i	0.690919	+	0.950969i
$470$	0.118570	+	0.427633i	0.00546922	+	0.0197252i
$471$	0.749919	+	0.675230i	0.0345544	+	0.0311130i
$472$	6.75188	+	9.82724i	0.310781	+	0.452336i
$473$	−0.647394	−	0.415021i	−0.0297672	−	0.0190827i
$474$	0.00950714	−	0.0635918i	0.000436677	−	0.00292087i
$475$	−36.9822	−	7.86081i	−1.69686	−	0.360679i
$476$	−3.97441	−	32.3960i	−0.182167	−	1.48487i
$477$	0.751629	+	7.15127i	0.0344147	+	0.327434i
$478$	−19.3933	−	29.3034i	−0.887031	−	1.34030i
$479$	−39.2222	+	8.33694i	−1.79211	+	0.380925i	−0.979430	−	0.201785i	$-0.935326\pi$
$479$	−39.2222	+	8.33694i	−1.79211	+	0.380925i	−0.812680	+	0.582710i	$0.801992\pi$
$480$	−0.228511	−	0.169179i	−0.0104301	−	0.00772191i
$481$	33.6481	+	21.7534i	1.53422	+	0.991870i
$482$	14.1162	+	17.1261i	0.642977	+	0.780074i
$483$	0.989206	+	1.71336i	0.0450105	+	0.0779604i
$484$	−15.1909	−	15.9134i	−0.690495	−	0.723337i
$485$	1.70464	−	2.95253i	0.0774038	−	0.134067i
$486$	−2.71906	−	3.29883i	−0.123339	−	0.149638i
$487$	2.81254	+	6.31707i	0.127448	+	0.286254i	0.965988	−	0.258587i	$-0.0832568\pi$
$487$	2.81254	+	6.31707i	0.127448	+	0.286254i	−0.838540	+	0.544841i	$0.816590\pi$
$488$	36.7280	+	13.0123i	1.66260	+	0.589040i
$489$	−0.249626	+	0.768270i	−0.0112885	+	0.0347424i
$490$	0.527507	−	1.05788i	0.0238303	−	0.0477902i
$491$	6.80330	+	3.02902i	0.307029	+	0.136698i	0.554467	−	0.832206i	$-0.312922\pi$
$491$	6.80330	+	3.02902i	0.307029	+	0.136698i	−0.247438	+	0.968904i	$0.579589\pi$
$492$	0.0581756	+	0.0772179i	0.00262276	+	0.00348125i
$493$	−9.01308	−	27.7394i	−0.405929	−	1.24932i
$494$	−39.9804	−	3.76900i	−1.79880	−	0.169575i
$495$	−3.72347	−	2.38698i	−0.167358	−	0.107287i
$496$	−5.65596	−	11.6024i	−0.253960	−	0.520963i
$497$	−7.65233	−	6.89019i	−0.343254	−	0.309067i
$498$	−1.11693	+	1.13648i	−0.0500507	+	0.0509268i
$499$	3.64270	+	5.01374i	0.163070	+	0.224446i	0.882730	−	0.469880i	$-0.155703\pi$
$499$	3.64270	+	5.01374i	0.163070	+	0.224446i	−0.719661	+	0.694326i	$0.755703\pi$
$500$	8.71677	+	0.763506i	0.389826	+	0.0341450i
$501$	−0.658191	+	0.592638i	−0.0294058	+	0.0264771i
$502$	13.1305	−	20.6084i	0.586042	−	0.919800i
$503$	−15.1295	+	6.73608i	−0.674591	+	0.300347i	−0.715294	−	0.698824i	$-0.753707\pi$
$503$	−15.1295	+	6.73608i	−0.674591	+	0.300347i	0.0407027	+	0.999171i	$0.487040\pi$
$504$	23.2537	−	9.62787i	1.03580	−	0.428859i
$505$	−3.75978	+	2.17071i	−0.167308	+	0.0965952i
$506$	3.29278	+	27.4727i	0.146382	+	1.22131i
$507$	1.33958	+	0.589852i	0.0594930	+	0.0261962i
$508$	29.2266	+	16.2044i	1.29672	+	0.718955i
$509$	1.08317	−	10.3056i	0.0480105	−	0.456789i	−0.943936	−	0.330129i	$-0.892908\pi$
$509$	1.08317	−	10.3056i	0.0480105	−	0.456789i	0.991946	−	0.126660i	$-0.0404257\pi$
$510$	−0.0170065	+	0.389061i	−0.000753060	+	0.0172279i
$511$	−8.16124	+	7.34841i	−0.361032	+	0.325075i
$512$	22.5569	+	1.78558i	0.996882	+	0.0789123i
$513$	5.28003	−	0.554954i	0.233119	−	0.0245018i
$514$	−5.37807	−	5.28555i	−0.237217	−	0.233136i
$515$	−3.70591	+	1.20412i	−0.163302	+	0.0530600i
$516$	−0.0508747	+	0.0117399i	−0.00223963	+	0.000516822i
$517$	1.82042	+	1.45647i	0.0800619	+	0.0640555i
$518$	29.1431	−	36.6341i	1.28047	−	1.60961i
$519$	0.733428	+	2.25726i	0.0321939	+	0.0990827i
$520$	4.55064	−	0.127809i	0.199559	−	0.00560478i
$521$	24.2151	−	17.5933i	1.06088	−	0.770775i	0.0866301	−	0.996241i	$-0.472390\pi$
$521$	24.2151	−	17.5933i	1.06088	−	0.770775i	0.974251	+	0.225465i	$0.0723902\pi$
$522$	18.7554	−	12.4126i	0.820901	−	0.543283i
$523$	14.6195	−	3.10746i	0.639265	−	0.135880i	0.123134	−	0.992390i	$-0.460705\pi$
$523$	14.6195	−	3.10746i	0.639265	−	0.135880i	0.516130	+	0.856510i	$0.327372\pi$
$524$	19.4011	+	16.8686i	0.847541	+	0.736906i
$525$	0.946358	−	1.30255i	0.0413025	−	0.0568480i
$526$	7.10883	+	42.4939i	0.309960	+	1.85282i
$527$	−8.83970	+	15.3108i	−0.385063	+	0.666949i
$528$	−1.49360	−	0.0175712i	−0.0650006	−	0.000764688i
$529$	5.89978	−	10.2187i	0.256512	−	0.444292i
$530$	1.42334	+	0.532247i	0.0618259	+	0.0231193i
$531$	12.5240	+	1.31633i	0.543497	+	0.0571238i
$532$	−8.95691	+	46.0545i	−0.388331	+	1.99671i
$533$	−1.49607	−	0.397585i	−0.0648019	−	0.0172213i
$534$	0.0354577	+	0.580209i	0.00153440	+	0.0251081i
$535$	−3.15795	−	1.40601i	−0.136530	−	0.0607870i
$536$	20.6084	+	12.6331i	0.890145	+	0.545667i
$537$	−2.68547	−	0.570814i	−0.115887	−	0.0246324i
$538$	−5.19362	−	13.1867i	−0.223913	−	0.568520i
$539$	−1.00762	−	6.12799i	−0.0434014	−	0.263951i
$540$	−0.586451	+	0.135330i	−0.0252368	+	0.00582369i
$541$	−14.3557	+	4.66446i	−0.617201	+	0.200541i	−0.600897	−	0.799326i	$-0.705190\pi$
$541$	−14.3557	+	4.66446i	−0.617201	+	0.200541i	−0.0163038	+	0.999867i	$0.505190\pi$
$542$	12.3571	+	12.1445i	0.530781	+	0.521650i
$543$	0.108302	−	0.243251i	0.00464770	−	0.0104389i
$544$	−15.2547	−	26.9784i	−0.654038	−	1.15669i
$545$	−7.09953	−	2.30678i	−0.304111	−	0.0988115i
$546$	0.839106	−	1.49006i	0.0359104	−	0.0637687i
$547$	−35.2088	−	25.5807i	−1.50542	−	1.09375i	−0.968160	−	0.250334i	$-0.919460\pi$
$547$	−35.2088	−	25.5807i	−1.50542	−	1.09375i	−0.537259	−	0.843417i	$-0.680540\pi$
$548$	0.320958	+	18.4947i	0.0137106	+	0.790056i
$549$	35.6403	−	20.5769i	1.52109	−	0.878203i
$550$	19.3346	−	11.5416i	0.824428	−	0.492134i
$551$			41.9266i			1.78613i
$552$	1.49024	+	1.14386i	0.0634288	+	0.0486859i
$553$	1.09883	−	0.489231i	0.0467270	−	0.0208042i
$554$	10.6506	−	16.7162i	0.452500	−	0.710204i
$555$	−0.415078	+	0.373738i	−0.0176191	+	0.0158643i
$556$	−14.9063	+	21.2838i	−0.632166	+	0.902633i
$557$	−1.66418	+	3.73780i	−0.0705134	+	0.158376i	−0.945364	−	0.326018i	$-0.894293\pi$
$557$	−1.66418	+	3.73780i	−0.0705134	+	0.158376i	0.874850	+	0.484394i	$0.160960\pi$
$558$	−13.1983	−	3.41402i	−0.558728	−	0.144527i
$559$	0.524774	−	0.650765i	0.0221956	−	0.0275244i
$560$	0.372089	−	5.30572i	0.0157236	−	0.224207i
$561$	1.12437	+	1.70925i	0.0474711	+	0.0721647i
$562$	−6.24541	−	4.96834i	−0.263447	−	0.209577i
$563$	−22.8581	−	4.85863i	−0.963353	−	0.204767i	−0.300721	−	0.953712i	$-0.597227\pi$
$563$	−22.8581	−	4.85863i	−0.963353	−	0.204767i	−0.662632	+	0.748945i	$0.730561\pi$
$564$	0.157111	−	0.0192747i	0.00661556	−	0.000811611i
$565$	−0.101706	−	0.967668i	−0.00427880	−	0.0407101i
$566$	0.498167	−	0.999041i	0.0209395	−	0.0419928i
$567$	8.17926	−	25.1732i	0.343497	−	1.05717i
$568$	−9.21650	−	3.26531i	−0.386716	−	0.137009i
$569$	−24.4949	−	2.57452i	−1.02688	−	0.107930i	−0.423919	−	0.905700i	$-0.639346\pi$
$569$	−24.4949	−	2.57452i	−1.02688	−	0.107930i	−0.602961	+	0.797770i	$0.706013\pi$
$570$	0.196072	−	0.524337i	0.00821255	−	0.0219621i
$571$	38.0826			1.59371			0.796855	−	0.604171i	$-0.206496\pi$
$571$	38.0826			1.59371			0.796855	+	0.604171i	$0.206496\pi$
$572$	18.9871	−	14.5426i	0.793892	−	0.608058i
$573$	1.48872			0.0621924
$574$	−0.633461	+	1.69401i	−0.0264402	+	0.0707065i
$575$	−28.1649	−	2.96025i	−1.17456	−	0.123451i
$576$	16.9040	−	16.8937i	0.704332	−	0.703905i
$577$	−14.2596	+	43.8865i	−0.593634	+	1.82702i	−0.0322247	+	0.999481i	$0.510259\pi$
$577$	−14.2596	+	43.8865i	−0.593634	+	1.82702i	−0.561410	+	0.827538i	$0.689741\pi$
$578$	−8.21474	+	16.4741i	−0.341688	+	0.685234i
$579$	−0.183208	−	1.74311i	−0.00761388	−	0.0724412i
$580$	−0.578765	−	4.71760i	−0.0240319	−	0.195888i
$581$	−29.1571	−	6.19753i	−1.20964	−	0.257117i
$582$	−0.951669	−	0.757070i	−0.0394479	−	0.0313816i
$583$	7.69898	−	2.11163i	0.318859	−	0.0874548i
$584$	−4.49084	+	9.41157i	−0.185832	+	0.389454i
$585$	3.01822	−	3.74285i	0.124788	−	0.154748i
$586$	−19.6426	−	5.08098i	−0.811428	−	0.209893i
$587$	−0.172495	+	0.387429i	−0.00711962	+	0.0159909i	−0.917070	−	0.398726i	$-0.869453\pi$
$587$	−0.172495	+	0.387429i	−0.00711962	+	0.0159909i	0.909951	+	0.414717i	$0.136119\pi$
$588$	−0.345372	−	0.241884i	−0.0142429	−	0.00997512i
$589$	18.8860	−	17.0050i	0.778183	−	0.700679i
$590$	1.43002	−	2.24442i	0.0588728	−	0.0924015i
$591$	0.0152401	−	0.00678535i	0.000626895	−	0.000279112i
$592$	12.2610	−	42.7265i	0.503923	−	1.75605i
$593$		−	20.4788i		−	0.840961i	−0.907301	−	0.420481i	$-0.861861\pi$
$593$		−	20.4788i		−	0.840961i	0.907301	−	0.420481i	$-0.138139\pi$
$594$	−2.08129	+	2.38034i	−0.0853963	+	0.0976666i
$595$	−6.30903	+	3.64252i	−0.258645	+	0.149329i
$596$	29.4905	−	0.511778i	1.20798	−	0.0209633i
$597$	−1.05395	−	0.765739i	−0.0431353	−	0.0313396i
$598$	−30.0780	+	0.322636i	−1.22998	+	0.0131936i
$599$	4.48712	+	1.45795i	0.183339	+	0.0595704i	0.399248	−	0.916843i	$-0.369271\pi$
$599$	4.48712	+	1.45795i	0.183339	+	0.0595704i	−0.215909	+	0.976414i	$0.569271\pi$
$600$	0.357124	−	1.48654i	0.0145795	−	0.0606876i
$601$	−14.7940	+	33.2279i	−0.603460	+	1.35539i	0.310880	+	0.950449i	$0.399376\pi$
$601$	−14.7940	+	33.2279i	−0.603460	+	1.35539i	−0.914341	+	0.404945i	$0.867291\pi$
$602$	−0.696607	−	0.684623i	−0.0283916	−	0.0279032i
$603$	24.2807	−	7.88928i	0.988787	−	0.321276i
$604$	−3.94486	−	17.0949i	−0.160514	−	0.695583i
$605$	−1.94426	+	4.50912i	−0.0790453	+	0.183322i
$606$	0.567475	+	1.44083i	0.0230521	+	0.0585299i
$607$	−3.02043	−	0.642012i	−0.122595	−	0.0260585i	0.146205	−	0.989254i	$-0.453294\pi$
$607$	−3.02043	−	0.642012i	−0.122595	−	0.0260585i	−0.268801	+	0.963196i	$0.586627\pi$
$608$	8.87100	+	43.6588i	0.359766	+	1.77060i
$609$	−1.63105	−	0.726192i	−0.0660936	−	0.0294268i
$610$	−0.530502	−	8.68083i	−0.0214794	−	0.351477i
$611$	−1.78845	+	1.79580i	−0.0723530	+	0.0726502i
$612$	−32.1317	−	6.24913i	−1.29885	−	0.252606i
$613$	−24.1218	−	2.53530i	−0.974269	−	0.102400i	−0.396004	−	0.918249i	$-0.629603\pi$
$613$	−24.1218	−	2.53530i	−0.974269	−	0.102400i	−0.578265	+	0.815849i	$0.696270\pi$
$614$	23.2826	+	8.70634i	0.939608	+	0.351359i
$615$	0.0107896	−	0.0186881i	0.000435077	−	0.000753575i
$616$	−14.7364	−	23.7406i	−0.593745	−	0.956537i
$617$	8.94127	−	15.4867i	0.359962	−	0.623472i	−0.627992	−	0.778220i	$-0.716123\pi$
$617$	8.94127	−	15.4867i	0.359962	−	0.623472i	0.987954	+	0.154747i	$0.0494564\pi$
$618$	0.229331	+	1.37085i	0.00922504	+	0.0551438i
$619$	−2.26720	+	3.12054i	−0.0911266	+	0.125425i	−0.852146	−	0.523304i	$-0.824699\pi$
$619$	−2.26720	+	3.12054i	−0.0911266	+	0.125425i	0.761019	+	0.648729i	$0.224699\pi$
$620$	−1.89032	+	2.17412i	−0.0759170	+	0.0873147i
$621$	3.88984	−	0.826811i	0.156094	−	0.0331788i
$622$	−10.6845	+	7.07113i	−0.428409	+	0.283527i
$623$	−8.79733	+	6.39163i	−0.352458	+	0.256075i
$624$	0.194916	−	1.61209i	0.00780287	−	0.0645351i
$625$	6.81400	+	20.9713i	0.272560	+	0.838854i
$626$	7.85736	−	9.87703i	0.314043	−	0.394766i
$627$	−0.777893	−	2.83619i	−0.0310661	−	0.113267i
$628$	4.03052	+	17.4661i	0.160835	+	0.696975i
$629$	−57.9042	+	18.8142i	−2.30879	+	0.750172i
$630$	−4.00652	−	3.93759i	−0.159623	−	0.156877i
$631$	−0.341003	+	0.0358409i	−0.0135751	+	0.00142680i	−0.111314	−	0.993785i	$-0.535506\pi$
$631$	−0.341003	+	0.0358409i	−0.0135751	+	0.00142680i	0.0977385	+	0.995212i	$0.468839\pi$
$632$	0.786330	−	0.828367i	0.0312785	−	0.0329507i
$633$	1.87903	−	1.69189i	0.0746847	−	0.0672464i
$634$	0.0658776	−	1.50710i	0.00261633	−	0.0598545i
$635$	0.779677	−	7.41813i	0.0309405	−	0.294380i
$636$	0.262830	−	0.474045i	0.0104219	−	0.0187971i
$637$	6.74130	−	0.367156i	0.267100	−	0.0145473i
$638$	−16.9768	−	18.3110i	−0.672116	−	0.724939i
$639$	−8.94356	+	5.16357i	−0.353802	+	0.204268i
$640$	−1.60084	−	4.79005i	−0.0632789	−	0.189343i
$641$	35.5821	−	15.8422i	1.40541	−	0.625727i	0.442798	−	0.896622i	$-0.353986\pi$
$641$	35.5821	−	15.8422i	1.40541	−	0.625727i	0.962609	+	0.270894i	$0.0873194\pi$
$642$	−0.662554	+	1.03989i	−0.0261489	+	0.0410410i
$643$	9.05263	−	8.15103i	0.357001	−	0.321445i	−0.471041	−	0.882111i	$-0.656122\pi$
$643$	9.05263	−	8.15103i	0.357001	−	0.321445i	0.828042	+	0.560666i	$0.189455\pi$
$644$	−3.06645	+	35.0090i	−0.120835	+	1.37955i
$645$	0.00684989	+	0.00942807i	0.000269714	+	0.000371230i
$646$	42.7724	−	43.5211i	1.68286	−	1.71231i
$647$	17.7776	+	16.0070i	0.698908	+	0.629300i	0.939989	−	0.341205i	$-0.110835\pi$
$647$	17.7776	+	16.0070i	0.698908	+	0.629300i	−0.241080	+	0.970505i	$0.577502\pi$
$648$	−1.96816	−	25.0564i	−0.0773167	−	0.984309i
$649$	−0.813964	−	13.9575i	−0.0319509	−	0.547879i
$650$	10.1958	+	22.2546i	0.399912	+	0.872897i
$651$	0.334424	+	1.02925i	0.0131071	+	0.0403395i
$652$	−11.4607	+	8.63444i	−0.448836	+	0.338151i
$653$	27.1368	+	12.0821i	1.06194	+	0.472808i	0.861952	−	0.506989i	$-0.169242\pi$
$653$	27.1368	+	12.0821i	1.06194	+	0.472808i	0.199992	+	0.979797i	$0.435908\pi$
$654$	−1.18820	+	2.38287i	−0.0464624	+	0.0931774i
$655$	1.77323	−	5.45743i	0.0692856	−	0.213239i
$656$	0.0595878	+	1.71632i	0.00232651	+	0.0670108i
$657$	4.47977	+	10.0617i	0.174772	+	0.392545i
$658$	1.88336	+	2.28493i	0.0734211	+	0.0890760i
$659$	−14.8643	+	25.7458i	−0.579033	+	1.00291i	0.416558	+	0.909109i	$0.363236\pi$
$659$	−14.8643	+	25.7458i	−0.579033	+	1.00291i	−0.995591	+	0.0938048i	$0.970097\pi$
$660$	0.126680	+	0.308392i	0.00493103	+	0.0120041i
$661$	18.1164	+	31.3786i	0.704647	+	1.22048i	0.966819	+	0.255463i	$0.0822280\pi$
$661$	18.1164	+	31.3786i	0.704647	+	1.22048i	−0.262172	+	0.965021i	$0.584439\pi$
$662$	15.8423	+	19.2202i	0.615727	+	0.747013i
$663$	−1.97965	+	1.01380i	−0.0768832	+	0.0393727i
$664$	−27.8318	+	5.15395i	−1.08008	+	0.200012i
$665$	10.2432	−	2.17726i	0.397214	−	0.0844304i
$666$	−25.9104	−	39.1507i	−1.00401	−	1.51706i
$667$	3.28269	+	31.2327i	0.127106	+	1.20933i
$668$	−15.6155	+	1.91574i	−0.604183	+	0.0741224i
$669$	1.46998	+	0.312454i	0.0568327	+	0.0120802i
$670$	0.797744	−	5.33599i	0.0308196	−	0.206147i
$671$	−28.9626	−	35.3381i	−1.11809	−	1.36421i
$672$	−1.85209	−	0.411089i	−0.0714460	−	0.0158581i
$673$	−3.82682	−	3.44569i	−0.147513	−	0.132821i	0.592070	−	0.805886i	$-0.298311\pi$
$673$	−3.82682	−	3.44569i	−0.147513	−	0.132821i	−0.739583	+	0.673065i	$0.764977\pi$
$674$	0.265387	+	0.957141i	0.0102223	+	0.0368677i
$675$	−1.90224	−	2.61821i	−0.0732174	−	0.100775i
$676$	13.4800	+	22.2326i	0.518462	+	0.855101i
$677$	−5.82385	−	1.89228i	−0.223829	−	0.0727263i	0.194956	−	0.980812i	$-0.437544\pi$
$677$	−5.82385	−	1.89228i	−0.223829	−	0.0727263i	−0.418784	+	0.908086i	$0.637544\pi$
$678$	−0.346731	−	0.0151562i	−0.0133161	−	0.000582069i
$679$	2.37790	−	22.6242i	0.0912553	−	0.868236i
$680$	−4.21199	+	5.48746i	−0.161523	+	0.210434i
$681$			1.94196i			0.0744160i
$682$	−1.36265	+	15.0740i	−0.0521784	+	0.577214i
$683$	−11.6756	−	6.74093i	−0.446756	−	0.257935i	0.259703	−	0.965688i	$-0.416375\pi$
$683$	−11.6756	−	6.74093i	−0.446756	−	0.257935i	−0.706459	+	0.707754i	$0.749709\pi$
$684$	41.1518	+	22.8162i	1.57348	+	0.872401i
$685$	3.77173	−	1.67928i	0.144110	−	0.0641621i
$686$	−0.943251	+	21.5790i	−0.0360135	+	0.823889i
$687$	−0.201310	−	0.947090i	−0.00768046	−	0.0361337i
$688$	−0.859846	−	0.347602i	−0.0327813	−	0.0132522i
$689$	1.37523	+	8.56913i	0.0523921	+	0.326458i
$690$	0.105008	−	0.405950i	0.00399757	−	0.0154543i
$691$	−31.5675	−	28.4235i	−1.20088	−	1.08128i	−0.994705	−	0.102767i	$-0.967230\pi$
$691$	−31.5675	−	28.4235i	−1.20088	−	1.08128i	−0.206179	−	0.978514i	$-0.566103\pi$
$692$	−12.3304	+	40.3162i	−0.468730	+	1.53259i
$693$	−29.1755	−	4.44491i	−1.10829	−	0.168848i
$694$	12.0104	+	30.4947i	0.455909	+	1.15756i
$695$	5.67304	+	1.20584i	0.215191	+	0.0457402i
$696$	−1.69477	−	0.0446361i	−0.0642400	−	0.00169193i
$697$	1.90300	−	1.38261i	0.0720813	−	0.0523701i
$698$	39.2312	+	19.5624i	1.48492	+	0.740448i
$699$	−2.35120	+	0.499763i	−0.0889305	+	0.0189028i
$700$	27.0423	−	9.30837i	1.02210	−	0.351823i
$701$	−21.1557	+	29.1183i	−0.799040	+	1.09978i	0.193883	+	0.981025i	$0.437892\pi$
$701$	−21.1557	+	29.1183i	−0.799040	+	1.09978i	−0.992923	+	0.118760i	$0.962108\pi$
$702$	−2.32732	−	2.52965i	−0.0878391	−	0.0954755i
$703$	87.5190			3.30084
$704$	−21.5525	−	15.4755i	−0.812289	−	0.583255i
$705$	−0.0176651	−	0.0305969i	−0.000665308	−	0.00115235i
$706$	−2.88642	−	17.2539i	−0.108632	−	0.649361i
$707$	−17.0273	+	23.4360i	−0.640377	+	0.881403i
$708$	−0.716353	−	0.622844i	−0.0269222	−	0.0234079i
$709$	−5.61479	−	6.23585i	−0.210868	−	0.234192i	0.628428	−	0.777868i	$-0.283699\pi$
$709$	−5.61479	−	6.23585i	−0.210868	−	0.234192i	−0.839295	+	0.543676i	$0.817032\pi$
$710$	0.133124	+	2.17836i	0.00499605	+	0.0817525i
$711$	−0.126094	−	1.19971i	−0.00472890	−	0.0449925i
$712$	−5.39645	+	8.80322i	−0.202241	+	0.329914i
$713$	12.7374	−	14.1464i	0.477021	−	0.529786i
$714$	0.952243	+	2.41777i	0.0356368	+	0.0904827i
$715$	−4.64407	−	2.63230i	−0.173678	−	0.0984425i
$716$	−33.2563	−	35.6703i	−1.24285	−	1.33306i
$717$	2.07904	+	1.87197i	0.0776431	+	0.0699102i
$718$	8.73324	−	2.42147i	0.325922	−	0.0903684i
$719$	−39.8428	+	4.18765i	−1.48589	+	0.156173i	−0.812433	−	0.583055i	$-0.801857\pi$
$719$	−39.8428	+	4.18765i	−1.48589	+	0.156173i	−0.673455	+	0.739228i	$0.735190\pi$
$720$	−4.94538	−	1.99923i	−0.184303	−	0.0745067i
$721$	−19.3222	+	17.3978i	−0.719597	+	0.647928i
$722$	−53.9723	+	28.0927i	−2.00864	+	1.04550i
$723$	−1.42950	−	1.03860i	−0.0531639	−	0.0386258i
$724$	4.05451	−	2.43564i	0.150685	−	0.0905198i
$725$	22.1333	−	12.7786i	0.822009	−	0.474587i
$726$	1.48816	+	0.923696i	0.0552307	+	0.0342816i
$727$			13.3286i			0.494331i	0.968973	+	0.247165i	$0.0794991\pi$
$727$			13.3286i			0.494331i	−0.968973	+	0.247165i	$0.920501\pi$
$728$	27.3926	−	13.1295i	1.01524	−	0.486611i
$729$	−21.2916	−	15.4692i	−0.788577	−	0.572935i
$730$	2.32535	+	0.101645i	0.0860649	+	0.00376203i
$731$	0.264114	+	1.24256i	0.00976862	+	0.0459578i
$732$	−3.09035	−	0.270685i	−0.114222	−	0.0100048i
$733$	−14.7501	−	20.3018i	−0.544808	−	0.749863i	0.444489	−	0.895785i	$-0.353385\pi$
$733$	−14.7501	−	20.3018i	−0.544808	−	0.749863i	−0.989296	+	0.145921i	$0.953385\pi$
$734$	−18.5886	+	18.9140i	−0.686118	+	0.698128i
$735$	−0.0195672	+	0.0920564i	−0.000721747	+	0.00339555i
$736$	10.0266	+	31.8285i	0.369587	+	1.17321i
$737$	−13.0167	−	25.1789i	−0.479477	−	0.927477i
$738$	1.41946	+	1.12921i	0.0522510	+	0.0415666i
$739$	−29.5553	+	32.8245i	−1.08721	+	1.20747i	−0.110281	+	0.993900i	$0.535175\pi$
$739$	−29.5553	+	32.8245i	−1.08721	+	1.20747i	−0.976928	+	0.213568i	$0.931492\pi$
$740$	−9.84768	+	1.20813i	−0.362008	+	0.0444119i
$741$	3.15674	−	0.506615i	0.115966	−	0.0186110i
$742$	10.1208	−	0.618501i	0.371546	−	0.0227059i
$743$	−12.8206	+	2.72510i	−0.470342	+	0.0999742i	−0.436984	−	0.899469i	$-0.643953\pi$
$743$	−12.8206	+	2.72510i	−0.470342	+	0.0999742i	−0.0333577	+	0.999443i	$0.510620\pi$
$744$	0.667275	+	0.781518i	0.0244635	+	0.0286518i
$745$	−2.67767	−	6.01415i	−0.0981024	−	0.220342i
$746$	2.97141	+	3.60499i	0.108791	+	0.131988i
$747$	−14.9475	+	25.8899i	−0.546902	+	0.947262i
$748$	−1.05799	+	36.3266i	−0.0386838	+	1.32823i
$749$	−23.0659			−0.842808
$750$	−0.687091	+	0.114944i	−0.0250890	+	0.00419716i
$751$	10.2664	+	1.07904i	0.374627	+	0.0393749i	0.289971	−	0.957035i	$-0.406354\pi$
$751$	10.2664	+	1.07904i	0.374627	+	0.0393749i	0.0846557	+	0.996410i	$0.473021\pi$
$752$	2.48234	+	1.32053i	0.0905215	+	0.0481546i
$753$	−0.601181	+	1.85024i	−0.0219082	+	0.0674266i
$754$	21.7886	−	16.1902i	0.793494	−	0.589614i
$755$	−3.16802	+	2.30170i	−0.115296	+	0.0837675i
$756$	−3.20756	+	2.41656i	−0.116658	+	0.0878894i
$757$	−12.7576	+	14.1687i	−0.463682	+	0.514971i	−0.928953	−	0.370197i	$-0.879290\pi$
$757$	−12.7576	+	14.1687i	−0.463682	+	0.514971i	0.465271	+	0.885168i	$0.345957\pi$
$758$	3.71032	−	24.8177i	0.134765	−	0.901421i
$759$	−0.801545	−	2.05188i	−0.0290942	−	0.0744785i
$760$	8.19582	−	5.63100i	0.297294	−	0.204258i
$761$	4.88277	−	22.9716i	0.177000	−	0.832721i	−0.796608	−	0.604496i	$-0.793375\pi$
$761$	4.88277	−	22.9716i	0.177000	−	0.832721i	0.973608	−	0.228225i	$-0.0732921\pi$
$762$	−2.57580	−	0.666286i	−0.0933114	−	0.0241370i
$763$	−49.5374	+	5.20659i	−1.79337	+	0.188491i
$764$	21.6606	+	15.1702i	0.783653	+	0.548838i
$765$	1.51905	+	7.14655i	0.0549212	+	0.258384i
$766$	−11.3947	+	17.8841i	−0.411707	+	0.646179i
$767$	15.1799	+	0.764343i	0.548115	+	0.0275988i
$768$	−1.77423	+	0.312106i	−0.0640220	+	0.0112621i
$769$	−4.48278	+	2.58813i	−0.161653	+	0.0933304i	−0.578644	−	0.815580i	$-0.696418\pi$
$769$	−4.48278	+	2.58813i	−0.161653	+	0.0933304i	0.416991	+	0.908911i	$0.363085\pi$
$770$	−3.59200	+	5.09853i	−0.129447	+	0.183738i
$771$	0.519912	+	0.300171i	0.0187242	+	0.0108104i
$772$	15.0967	−	27.2288i	0.543344	−	0.979984i
$773$	13.0418	−	5.80659i	0.469081	−	0.208848i	−0.158563	−	0.987349i	$-0.550686\pi$
$773$	13.0418	−	5.80659i	0.469081	−	0.208848i	0.627644	+	0.778500i	$0.284019\pi$
$774$	−0.868896	+	0.452263i	−0.0312318	+	0.0162563i
$775$	−14.7332	−	4.78711i	−0.529233	−	0.171958i
$776$	−6.13198	−	20.7127i	−0.220125	−	0.743544i
$777$	−1.51588	+	3.40472i	−0.0543818	+	0.122144i
$778$	14.4824	−	4.01553i	0.519218	−	0.143964i
$779$	−3.21578	+	1.04487i	−0.115217	+	0.0374364i
$780$	−0.348205	+	0.100581i	−0.0124677	+	0.00360138i
$781$	7.26786	+	8.86773i	0.260065	+	0.317312i
$782$	28.4552	−	35.7694i	1.01756	−	1.27911i
$783$	−2.40137	+	2.66699i	−0.0858180	+	0.0953106i
$784$	−2.56027	−	7.03870i	−0.0914381	−	0.251382i
$785$	3.23681	−	2.35168i	0.115527	−	0.0839351i
$786$	−1.83171	−	0.913374i	−0.0653351	−	0.0325790i
$787$	2.40673	+	2.67294i	0.0857906	+	0.0952802i	0.784512	−	0.620114i	$-0.212914\pi$
$787$	2.40673	+	2.67294i	0.0857906	+	0.0952802i	−0.698721	+	0.715394i	$0.746247\pi$
$788$	0.290883	+	0.0565725i	0.0103623	+	0.00201531i
$789$	−1.39517	−	3.13360i	−0.0496692	−	0.111559i
$790$	−0.238781	−	0.0892903i	−0.00849544	−	0.00317681i
$791$	−3.24621	−	5.62261i	−0.115422	−	0.199917i
$792$	−27.2113	+	6.69828i	−0.966911	+	0.238013i
$793$	41.6018	−	27.1380i	1.47732	−	0.963697i
$794$	−3.08794	+	2.54524i	−0.109587	+	0.0903271i
$795$	−0.120320	−	0.0126461i	−0.00426729	−	0.000448511i
$796$	−7.53180	−	21.8811i	−0.266958	−	0.775556i
$797$	−16.1268	−	17.9106i	−0.571240	−	0.634427i	0.386422	−	0.922322i	$-0.373711\pi$
$797$	−16.1268	−	17.9106i	−0.571240	−	0.634427i	−0.957662	+	0.287896i	$0.907044\pi$
$798$	−0.227847	−	3.72835i	−0.00806569	−	0.131982i
$799$	−0.402559	−	3.83010i	−0.0142415	−	0.135499i
$800$	20.3439	−	17.9896i	0.719267	−	0.636030i
$801$	3.37004	+	10.3719i	0.119075	+	0.366474i
$802$	29.3189	+	4.38325i	1.03528	+	0.154778i
$803$	10.2159	−	6.72017i	0.360510	−	0.237150i
$804$	−1.84032	−	0.562846i	−0.0649031	−	0.0198500i
$805$	7.46006	−	2.42392i	0.262933	−	0.0854320i
$806$	−16.1302	−	3.24815i	−0.568162	−	0.114411i
$807$	0.663226	+	0.912853i	0.0233467	+	0.0321339i
$808$	−6.42553	+	26.7464i	−0.226049	+	0.940935i
$809$	−0.285538	−	1.34335i	−0.0100390	−	0.0472296i	0.972843	−	0.231466i	$-0.0743522\pi$
$809$	−0.285538	−	1.34335i	−0.0100390	−	0.0472296i	−0.982882	+	0.184236i	$0.941019\pi$
$810$	−4.97613	+	2.59009i	−0.174843	+	0.0910065i
$811$	26.0534	+	18.9289i	0.914860	+	0.664685i	0.942239	−	0.334940i	$-0.108716\pi$
$811$	26.0534	+	18.9289i	0.914860	+	0.664685i	−0.0273791	+	0.999625i	$0.508716\pi$
$812$	−16.3315	−	27.1864i	−0.573124	−	0.954057i
$813$	−1.19459	−	0.689696i	−0.0418960	−	0.0241887i
$814$	−38.2230	+	35.4379i	−1.33972	+	1.24210i
$815$	2.77369	+	1.60139i	0.0971580	+	0.0560942i
$816$	1.71369	+	1.77529i	0.0599910	+	0.0621476i
$817$	0.190874	−	1.81604i	0.00667783	−	0.0635353i
$818$	18.3347	−	28.7765i	0.641058	−	1.00615i
$819$	8.24016	−	31.0068i	0.287935	−	1.08347i
$820$	0.347418	−	0.161961i	0.0121323	−	0.00565591i
$821$	12.3758	−	27.7964i	0.431917	−	0.970102i	−0.558180	−	0.829720i	$-0.688500\pi$
$821$	12.3758	−	27.7964i	0.431917	−	0.970102i	0.990097	−	0.140382i	$-0.0448330\pi$
$822$	−0.393483	−	1.41913i	−0.0137243	−	0.0494979i
$823$	−1.36988	+	6.44476i	−0.0477509	+	0.224650i	−0.995552	−	0.0942111i	$-0.969967\pi$
$823$	−1.36988	+	6.44476i	−0.0477509	+	0.224650i	0.947801	+	0.318861i	$0.103300\pi$
$824$	−10.6323	+	22.2825i	−0.370395	+	0.776246i
$825$	−1.26015	+	1.27509i	−0.0438728	+	0.0443928i
$826$	2.62563	−	17.5624i	0.0913574	−	0.611076i
$827$	7.36220	+	22.6585i	0.256009	+	0.787914i	0.993629	+	0.112698i	$0.0359494\pi$
$827$	7.36220	+	22.6585i	0.256009	+	0.787914i	−0.737621	+	0.675215i	$0.764051\pi$
$828$	32.4419	+	13.7746i	1.12743	+	0.478702i
$829$	−14.3373	−	6.38338i	−0.497955	−	0.221704i	0.142362	−	0.989815i	$-0.454530\pi$
$829$	−14.3373	−	6.38338i	−0.497955	−	0.221704i	−0.640317	+	0.768111i	$0.721197\pi$
$830$	3.48671	+	5.26842i	0.121026	+	0.182870i
$831$	−0.487638	+	1.50080i	−0.0169160	+	0.0520620i
$832$	19.2632	−	21.4693i	0.667831	−	0.744313i
$833$	−6.02999	+	8.29957i	−0.208927	+	0.287563i
$834$	0.724588	−	1.93770i	0.0250904	−	0.0670971i
$835$	1.75577	+	3.04108i	0.0607609	+	0.105241i
$836$	17.5828	−	49.1927i	0.608113	−	1.70137i
$837$	2.17533			0.0751904
$838$	−32.8771	+	5.50004i	−1.13572	+	0.189996i
$839$	−5.59974	−	12.5772i	−0.193324	−	0.434214i	0.790710	−	0.612190i	$-0.209711\pi$
$839$	−5.59974	−	12.5772i	−0.193324	−	0.434214i	−0.984035	+	0.177977i	$0.943045\pi$
$840$	0.0771045	+	0.416371i	0.00266036	+	0.0143662i
$841$	0.440924	+	0.489695i	0.0152043	+	0.0168860i
$842$	−20.6579	−	31.2141i	−0.711918	−	1.07571i
$843$	0.580439	+	0.258428i	0.0199914	+	0.00890074i
$844$	44.5798	−	5.46914i	1.53450	−	0.188256i
$845$	3.39178	−	4.70886i	0.116681	−	0.161990i
$846$	2.76310	−	1.08825i	0.0949972	−	0.0374149i
$847$	0.386070	+	32.7631i	0.0132655	+	1.12575i
$848$	8.65466	−	4.21899i	0.297202	−	0.144881i
$849$	−0.0184789	+	0.0869362i	−0.000634193	+	0.00298364i
$850$	−36.0114	−	9.31513i	−1.23518	−	0.319506i
$851$	65.1962	−	6.85240i	2.23490	−	0.234897i
$852$	0.775490	+	0.0679255i	0.0265678	+	0.00232709i
$853$	39.8484	+	12.9475i	1.36438	+	0.443314i	0.897504	−	0.441007i	$-0.145379\pi$
$853$	39.8484	+	12.9475i	1.36438	+	0.443314i	0.466878	+	0.884322i	$0.345379\pi$
$854$	−26.7935	−	51.4762i	−0.916855	−	1.76148i
$855$	1.09781	−	10.4449i	0.0375441	−	0.357209i
$856$	−20.2365	+	8.37863i	−0.691669	+	0.286376i
$857$		−	4.41818i		−	0.150922i	−0.997149	−	0.0754612i	$-0.975957\pi$
$857$		−	4.41818i		−	0.150922i	0.997149	−	0.0754612i	$-0.0240429\pi$
$858$	−1.17354	+	1.49948i	−0.0400639	+	0.0511912i
$859$			1.53375i			0.0523307i	0.999658	+	0.0261654i	$0.00832965\pi$
$859$			1.53375i			0.0523307i	−0.999658	+	0.0261654i	$0.991670\pi$
$860$	0.00359188	+	0.206977i	0.000122482	+	0.00705785i
$861$	0.0150509	−	0.143200i	0.000512934	−	0.00488024i
$862$	−19.0849	+	9.93376i	−0.650036	+	0.338345i
$863$	7.47932	+	2.43018i	0.254599	+	0.0827242i	0.433536	−	0.901136i	$-0.357266\pi$
$863$	7.47932	+	2.43018i	0.254599	+	0.0827242i	−0.178937	+	0.983861i	$0.557266\pi$
$864$	−1.93629	+	3.28527i	−0.0658739	+	0.111767i
$865$	9.35855	−	0.983623i	0.318200	−	0.0334442i
$866$	−7.58965	+	29.3409i	−0.257907	+	0.997044i
$867$	0.304715	−	1.43357i	0.0103487	−	0.0486867i
$868$	−5.62232	+	18.3831i	−0.190834	+	0.623964i
$869$	−1.29159	+	0.354249i	−0.0438142	+	0.0120171i
$870$	0.138668	+	0.352082i	0.00470130	+	0.0119367i
$871$	28.7444	−	11.1016i	0.973967	−	0.376164i
$872$	−41.5696	+	22.5623i	−1.40772	+	0.764055i
$873$	−20.8424	−	9.27965i	−0.705409	−	0.314069i
$874$	−54.7904	+	36.2610i	−1.85331	+	1.22655i
$875$	−8.72004	−	9.68458i	−0.294791	−	0.327399i
$876$	0.158498	−	0.814960i	0.00535514	−	0.0275349i
$877$	11.7033	+	26.2860i	0.395191	+	0.887614i	0.996095	+	0.0882926i	$0.0281411\pi$
$877$	11.7033	+	26.2860i	0.395191	+	0.887614i	−0.600903	+	0.799322i	$0.705192\pi$
$878$	1.80246	+	10.7744i	0.0608301	+	0.363619i
$879$	1.61531			0.0544830
$880$	−1.29935	+	5.77790i	−0.0438012	+	0.194773i
$881$	5.65767	+	9.79936i	0.190612	+	0.330149i	0.945453	−	0.325758i	$-0.105620\pi$
$881$	5.65767	+	9.79936i	0.190612	+	0.330149i	−0.754841	+	0.655907i	$0.772286\pi$
$882$	−7.40954	−	2.77074i	−0.249492	−	0.0932957i
$883$	12.9871	−	17.8752i	0.437051	−	0.601548i	−0.532503	−	0.846428i	$-0.678748\pi$
$883$	12.9871	−	17.8752i	0.437051	−	0.601548i	0.969553	+	0.244880i	$0.0787485\pi$
$884$	−39.1341	−	5.42218i	−1.31622	−	0.182368i
$885$	−0.0654734	+	0.201506i	−0.00220086	+	0.00677356i
$886$	0.0483736	−	0.0320143i	0.00162514	−	0.00107554i
$887$	−47.9878	−	21.3656i	−1.61127	−	0.717385i	−0.613871	−	0.789407i	$-0.710388\pi$
$887$	−47.9878	−	21.3656i	−1.61127	−	0.717385i	−0.997403	+	0.0720211i	$0.977055\pi$
$888$	−0.0931749	+	3.53772i	−0.00312674	+	0.118718i
$889$	−15.3801	−	47.3349i	−0.515830	−	1.58756i
$890$	2.27936	+	0.340770i	0.0764043	+	0.0114226i
$891$	−13.2250	+	26.3379i	−0.443053	+	0.882353i
$892$	18.2040	+	19.5253i	0.609513	+	0.653755i
$893$	−1.15099	+	5.41500i	−0.0385165	+	0.181206i
$894$	−2.26286	+	0.627422i	−0.0756812	+	0.0209841i
$895$	−4.42739	+	9.94409i	−0.147991	+	0.332394i
$896$	−22.7585	−	24.8541i	−0.760307	−	0.830319i
$897$	2.31191	−	0.624557i	0.0771924	−	0.0208533i
$898$	31.8254	+	20.2773i	1.06203	+	0.676661i
$899$	−1.79567	+	17.0847i	−0.0598890	+	0.569806i
$900$	−0.497684	−	28.6783i	−0.0165895	−	0.955944i
$901$	−11.4209	−	6.59386i	−0.380485	−	0.219673i
$902$	0.981374	−	1.75846i	0.0326762	−	0.0585503i
$903$	0.0673428	+	0.0388804i	0.00224103	+	0.00129386i
$904$	−4.89042	−	3.75373i	−0.162653	−	0.124847i
$905$	−0.854085	−	0.620529i	−0.0283908	−	0.0206271i
$906$	0.644896	+	1.23899i	0.0214252	+	0.0411626i
$907$	−9.07576	−	42.6981i	−0.301356	−	1.41777i	−0.824664	−	0.565623i	$-0.808636\pi$
$907$	−9.07576	−	42.6981i	−0.301356	−	1.41777i	0.523308	−	0.852143i	$-0.324698\pi$
$908$	−19.7886	+	28.2550i	−0.656709	+	0.937676i
$909$	17.0768	+	23.5041i	0.566400	+	0.779583i
$910$	−5.08697	−	4.48247i	−0.168631	−	0.148592i
$911$	20.2280	−	6.57246i	0.670182	−	0.217755i	0.0458901	−	0.998946i	$-0.485388\pi$
$911$	20.2280	−	6.57246i	0.670182	−	0.217755i	0.624292	+	0.781191i	$0.285388\pi$
$912$	−1.55422	−	3.18825i	−0.0514652	−	0.105573i
$913$	31.0555	+	11.7117i	1.02779	+	0.387599i
$914$	4.36313	−	29.1843i	0.144320	−	0.965332i
$915$	0.213967	+	0.658521i	0.00707352	+	0.0217700i
$916$	6.72187	−	15.8313i	0.222097	−	0.523081i
$917$	−4.00232	−	38.0795i	−0.132168	−	1.25750i
$918$	5.21349	−	0.318607i	0.172071	−	0.0105156i
$919$	−26.6475	−	29.5951i	−0.879021	−	0.976252i	0.120844	−	0.992672i	$-0.461440\pi$
$919$	−26.6475	−	29.5951i	−0.879021	−	0.976252i	−0.999865	+	0.0164196i	$0.994773\pi$
$920$	5.66449	−	4.83644i	0.186753	−	0.159453i
$921$	−1.96815	−	0.206861i	−0.0648528	−	0.00681631i
$922$	24.6316	+	29.8836i	0.811198	+	0.984163i
$923$	−10.4395	+	6.80999i	−0.343622	+	0.224153i
$924$	1.60918	+	1.53606i	0.0529382	+	0.0505327i
$925$	−26.6746	−	46.2017i	−0.877055	−	1.51910i
$926$	−13.1341	+	35.1232i	−0.431612	+	1.15422i
$927$	10.6061	+	23.8218i	0.348351	+	0.782409i
$928$	−24.2036	−	17.9192i	−0.794523	−	0.588227i
$929$	27.5961	+	30.6486i	0.905398	+	1.00555i	0.999950	+	0.0100266i	$0.00319161\pi$
$929$	27.5961	+	30.6486i	0.905398	+	1.00555i	−0.0945516	+	0.995520i	$0.530142\pi$
$930$	0.102354	−	0.205265i	0.00335633	−	0.00673090i
$931$	11.9304	−	8.66793i	0.391002	−	0.284080i
$932$	−39.3020	−	16.6874i	−1.28738	−	0.546614i
$933$	0.682553	−	0.758052i	0.0223458	−	0.0248175i
$934$	39.1458	+	31.1412i	1.28089	+	1.01897i
$935$	7.55557	−	2.95150i	0.247094	−	0.0965244i
$936$	−4.03380	−	30.1966i	−0.131849	−	0.987007i
$937$	−37.6720	+	12.2404i	−1.23069	+	0.399876i	−0.850965	−	0.525223i	$-0.823982\pi$
$937$	−37.6720	+	12.2404i	−1.23069	+	0.399876i	−0.379727	+	0.925099i	$0.623982\pi$
$938$	−9.61900	−	34.6918i	−0.314071	−	1.13273i
$939$	−0.408701	+	0.917957i	−0.0133375	+	0.0299564i
$940$	0.0547604	−	0.625187i	0.00178609	−	0.0203913i
$941$	3.41954	+	1.11108i	0.111474	+	0.0362201i	0.364223	−	0.931312i	$-0.381335\pi$
$941$	3.41954	+	1.11108i	0.111474	+	0.0362201i	−0.252749	+	0.967532i	$0.581335\pi$
$942$	−0.658900	−	1.26589i	−0.0214681	−	0.0412449i
$943$	−2.31375	+	1.03015i	−0.0753459	+	0.0335462i
$944$	−4.07597	−	16.3619i	−0.132661	−	0.532534i
$945$	0.776284	+	0.448188i	0.0252525	+	0.0145795i
$946$	0.651983	+	0.870426i	0.0211978	+	0.0283000i
$947$	21.3498	−	12.3263i	0.693777	−	0.400552i	−0.111249	−	0.993793i	$-0.535485\pi$
$947$	21.3498	−	12.3263i	0.693777	−	0.400552i	0.805025	+	0.593240i	$0.202152\pi$
$948$	−0.0440927	+	0.0795263i	−0.00143206	+	0.00258290i
$949$	6.05929	+	11.8320i	0.196693	+	0.384083i
$950$	45.0940	+	28.7312i	1.46304	+	0.932164i
$951$	0.0249705	+	0.117477i	0.000809725	+	0.00380946i
$952$	−10.7823	+	44.8813i	−0.349455	+	1.45461i
$953$	25.7963	−	2.71130i	0.835624	−	0.0878276i	0.322955	−	0.946414i	$-0.395324\pi$
$953$	25.7963	−	2.71130i	0.835624	−	0.0878276i	0.512669	+	0.858587i	$0.328657\pi$
$954$	2.54665	−	9.84510i	0.0824507	−	0.318747i
$955$	1.22719	−	5.77349i	0.0397110	−	0.186826i
$956$	11.1740	+	48.4223i	0.361393	+	1.56609i
$957$	1.67361	+	1.07289i	0.0541002	+	0.0346816i
$958$	56.0845	+	8.38478i	1.81201	+	0.270900i
$959$	18.4339	−	20.4729i	0.595261	−	0.661104i
$960$	0.218892	+	0.337289i	0.00706472	+	0.0108859i
$961$	−16.6554	+	12.1008i	−0.537270	+	0.390349i
$962$	−33.7961	−	45.4823i	−1.08963	−	1.46641i
$963$	−7.14845	+	22.0007i	−0.230356	+	0.708962i
$964$	−10.2156	−	29.6780i	−0.329023	−	0.955866i
$965$	−6.91105	−	0.726381i	−0.222475	−	0.0233830i
$966$	−0.461647	−	2.75955i	−0.0148533	−	0.0887871i
$967$	20.8195			0.669511			0.334755	−	0.942305i	$-0.391346\pi$
$967$	20.8195			0.669511			0.334755	+	0.942305i	$0.391346\pi$
$968$	12.2398	+	28.6040i	0.393403	+	0.919366i
$969$	−2.42908	+	4.20729i	−0.0780334	+	0.135158i
$970$	−3.72051	+	3.06663i	−0.119458	+	0.0984637i
$971$	25.3080	+	56.8427i	0.812173	+	1.82417i	0.457725	+	0.889094i	$0.348664\pi$
$971$	25.3080	+	56.8427i	0.812173	+	1.82417i	0.354448	+	0.935076i	$0.384669\pi$
$972$	1.96773	+	5.71657i	0.0631149	+	0.183359i
$973$	37.8540	−	8.04611i	1.21354	−	0.257946i
$974$	−0.596509	−	9.76093i	−0.0191134	−	0.312761i
$975$	−1.22958	−	1.51205i	−0.0393779	−	0.0484244i
$976$	−42.2055	−	35.4292i	−1.35097	−	1.13406i
$977$	−7.64719	+	8.49307i	−0.244655	+	0.271717i	−0.852948	−	0.521995i	$-0.825188\pi$
$977$	−7.64719	+	8.49307i	−0.244655	+	0.271717i	0.608293	+	0.793713i	$0.291855\pi$
$978$	0.711213	−	0.894024i	0.0227421	−	0.0285877i
$979$	10.7556	−	5.56032i	0.343751	−	0.177708i
$980$	−1.22276	+	1.14001i	−0.0390596	+	0.0364162i
$981$	−10.3862	+	48.8633i	−0.331607	+	1.56009i
$982$	−7.51147	−	7.38225i	−0.239701	−	0.235577i
$983$	8.11607	+	11.1708i	0.258863	+	0.356294i	0.918590	−	0.395211i	$-0.129328\pi$
$983$	8.11607	+	11.1708i	0.258863	+	0.356294i	−0.659728	+	0.751505i	$0.729328\pi$
$984$	−0.0388124	−	0.131102i	−0.00123730	−	0.00417937i
$985$	−0.0137517	−	0.0646967i	−0.000438166	−	0.00206141i
$986$	−1.80131	+	41.2089i	−0.0573653	+	1.31236i
$987$	−0.190722	−	0.138567i	−0.00607074	−	0.00441065i
$988$	51.0923	+	24.7962i	1.62546	+	0.788873i
$989$		−	1.36778i		−	0.0434930i
$990$	3.74986	+	5.00623i	0.119179	+	0.159108i
$991$	41.5242	−	23.9740i	1.31906	−	0.761559i	0.335481	−	0.942047i	$-0.391101\pi$
$991$	41.5242	−	23.9740i	1.31906	−	0.761559i	0.983577	+	0.180488i	$0.0577678\pi$
$992$	1.74499	+	18.1705i	0.0554033	+	0.576913i
$993$	−1.60429	−	1.16559i	−0.0509107	−	0.0369888i
$994$	6.72355	+	12.9174i	0.213258	+	0.409715i
$995$	−3.83844	+	3.45615i	−0.121687	+	0.109567i
$996$	2.04245	−	0.952159i	0.0647175	−	0.0301703i
$997$	−22.3718	+	2.35137i	−0.708522	+	0.0744687i	−0.451933	−	0.892052i	$-0.649265\pi$
$997$	−22.3718	+	2.35137i	−0.708522	+	0.0744687i	−0.256589	+	0.966521i	$0.582599\pi$
$998$	−2.34174	−	8.44571i	−0.0741265	−	0.267344i
$999$	5.56718	+	5.01271i	0.176138	+	0.158595i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	572.2.bm.a.523.10	yes	640
4.3	odd	2	inner	572.2.bm.a.523.30	yes	640
11.2	odd	10	inner	572.2.bm.a.211.24	yes	640
13.9	even	3	inner	572.2.bm.a.347.45	yes	640
44.35	even	10	inner	572.2.bm.a.211.45	yes	640
52.35	odd	6	inner	572.2.bm.a.347.24	yes	640
143.35	odd	30	inner	572.2.bm.a.35.30	yes	640
572.35	even	30	inner	572.2.bm.a.35.10	✓	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
572.2.bm.a.35.10	✓	640	572.35	even	30	inner
572.2.bm.a.35.30	yes	640	143.35	odd	30	inner
572.2.bm.a.211.24	yes	640	11.2	odd	10	inner
572.2.bm.a.211.45	yes	640	44.35	even	10	inner
572.2.bm.a.347.24	yes	640	52.35	odd	6	inner
572.2.bm.a.347.45	yes	640	13.9	even	3	inner
572.2.bm.a.523.10	yes	640	1.1	even	1	trivial
572.2.bm.a.523.30	yes	640	4.3	odd	2	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 572 = 2^{2} \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	572.bm (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.32463 - 0.495335i) q^{2} +(0.111975 + 0.0117691i) q^{3} +(1.50929 + 1.31227i) q^{4} +(0.137946 - 0.424554i) q^{5} +(-0.142496 - 0.0710549i) q^{6} +(-0.311356 - 2.96235i) q^{7} +(-1.34923 - 2.48587i) q^{8} +(-2.92204 - 0.621099i) q^{9} +O(q^{10})\)	\(q+(-1.32463 - 0.495335i) q^{2} +(0.111975 + 0.0117691i) q^{3} +(1.50929 + 1.31227i) q^{4} +(0.137946 - 0.424554i) q^{5} +(-0.142496 - 0.0710549i) q^{6} +(-0.311356 - 2.96235i) q^{7} +(-1.34923 - 2.48587i) q^{8} +(-2.92204 - 0.621099i) q^{9} +(-0.393024 + 0.494048i) q^{10} +(-0.154062 + 3.31304i) q^{11} +(0.153559 + 0.164705i) q^{12} +(-3.56231 - 0.556731i) q^{13} +(-1.05493 + 4.07824i) q^{14} +(0.0204432 - 0.0459161i) q^{15} +(0.555892 + 3.96118i) q^{16} +(4.07152 - 3.66601i) q^{17} +(3.56297 + 2.27012i) q^{18} +(-7.19468 + 3.20328i) q^{19} +(0.765330 - 0.459752i) q^{20} -0.335375i q^{21} +(1.84514 - 4.31224i) q^{22} +(-5.10878 + 2.94956i) q^{23} +(-0.121824 - 0.294236i) q^{24} +(3.88387 + 2.82180i) q^{25} +(4.44297 + 2.50200i) q^{26} +(-0.641131 - 0.208316i) q^{27} +(3.41748 - 4.87962i) q^{28} +(2.16532 - 4.86338i) q^{29} +(-0.0498235 + 0.0506956i) q^{30} +(-3.06896 + 0.997165i) q^{31} +(1.22576 - 5.52245i) q^{32} +(-0.0562427 + 0.369166i) q^{33} +(-7.20916 + 2.83934i) q^{34} +(-1.30063 - 0.276457i) q^{35} +(-3.59515 - 4.77193i) q^{36} +(-10.1520 - 4.51996i) q^{37} +(11.1170 - 0.679380i) q^{38} +(-0.392338 - 0.104265i) q^{39} +(-1.24151 + 0.229906i) q^{40} +(0.426985 + 0.0448780i) q^{41} +(-0.166123 + 0.444247i) q^{42} +(-0.115931 + 0.200799i) q^{43} +(-4.58014 + 4.79816i) q^{44} +(-0.666775 + 1.15489i) q^{45} +(8.22826 - 1.37651i) q^{46} +(0.413172 - 0.568683i) q^{47} +(0.0156267 + 0.450097i) q^{48} +(-1.83155 + 0.389308i) q^{49} +(-3.74695 - 5.66165i) q^{50} +(0.499055 - 0.362585i) q^{51} +(-4.64597 - 5.51498i) q^{52} +(-0.743822 - 2.28925i) q^{53} +(0.746075 + 0.593516i) q^{54} +(1.38532 + 0.522429i) q^{55} +(-6.94394 + 4.77089i) q^{56} +(-0.843326 + 0.274013i) q^{57} +(-5.27724 + 5.36962i) q^{58} +(-4.19239 + 0.440638i) q^{59} +(0.0911089 - 0.0424736i) q^{60} +(-10.2377 + 9.21806i) q^{61} +(4.55916 + 0.199288i) q^{62} +(-0.930120 + 8.84950i) q^{63} +(-4.35915 + 6.70804i) q^{64} +(-0.727769 + 1.43560i) q^{65} +(0.257361 - 0.461149i) q^{66} +(-7.40122 + 4.27310i) q^{67} +(10.9559 - 0.190128i) q^{68} +(-0.606771 + 0.270152i) q^{69} +(1.58591 + 1.01045i) q^{70} +(2.56904 - 2.31318i) q^{71} +(2.39854 + 8.10184i) q^{72} +(-2.16710 - 2.98276i) q^{73} +(11.2087 + 11.0159i) q^{74} +(0.401687 + 0.361681i) q^{75} +(-15.0624 - 4.60670i) q^{76} +(9.86237 - 0.575148i) q^{77} +(0.468057 + 0.332452i) q^{78} +(0.124784 + 0.384047i) q^{79} +(1.75842 + 0.310424i) q^{80} +(8.11783 + 3.61429i) q^{81} +(-0.543368 - 0.270947i) q^{82} +(3.09243 - 9.51752i) q^{83} +(0.440102 - 0.506176i) q^{84} +(-0.994771 - 2.23429i) q^{85} +(0.253028 - 0.208559i) q^{86} +(0.299699 - 0.519094i) q^{87} +(8.44368 - 4.08709i) q^{88} +(-1.82533 - 3.16156i) q^{89} +(1.45529 - 1.19952i) q^{90} +(-0.540086 + 10.7262i) q^{91} +(-11.5812 - 2.25238i) q^{92} +(-0.355383 + 0.0755390i) q^{93} +(-0.828989 + 0.548635i) q^{94} +(0.367488 + 3.49641i) q^{95} +(0.202249 - 0.603952i) q^{96} +(7.47034 + 1.58787i) q^{97} +(2.61897 + 0.391542i) q^{98} +(2.50791 - 9.58517i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 640 q - 5 q^{2} - 3 q^{4} - 24 q^{5} - 5 q^{6} - 20 q^{8} - 78 q^{9}+O(q^{10}) \) 640 * q - 5 * q^2 - 3 * q^4 - 24 * q^5 - 5 * q^6 - 20 * q^8 - 78 * q^9	\( 640 q - 5 q^{2} - 3 q^{4} - 24 q^{5} - 5 q^{6} - 20 q^{8} - 78 q^{9} - 36 q^{12} - 20 q^{13} - 28 q^{14} - 11 q^{16} - 10 q^{17} - 20 q^{18} - 29 q^{20} + 25 q^{22} - 65 q^{24} - 152 q^{25} + 40 q^{26} - 5 q^{28} - 10 q^{29} + 5 q^{30} + 4 q^{33} - 132 q^{34} - 24 q^{36} - 6 q^{37} - 10 q^{38} - 20 q^{40} - 50 q^{41} - 49 q^{42} - 4 q^{44} + 28 q^{45} - 25 q^{46} + 35 q^{48} + 62 q^{49} + 20 q^{50} + 15 q^{52} - 8 q^{53} - 2 q^{56} - 40 q^{57} + 41 q^{58} - 68 q^{60} - 10 q^{61} - 5 q^{62} - 36 q^{64} - 66 q^{66} + 60 q^{68} - 58 q^{69} + 118 q^{70} - 5 q^{72} - 40 q^{73} + 45 q^{74} - 76 q^{77} + 12 q^{78} - 41 q^{80} + 30 q^{81} - 37 q^{82} + 50 q^{84} - 10 q^{85} - 120 q^{86} + 89 q^{88} - 40 q^{89} - 250 q^{90} - 46 q^{92} - 2 q^{93} - 5 q^{94} + 110 q^{96} - 10 q^{97}+O(q^{100}) \) 640 * q - 5 * q^2 - 3 * q^4 - 24 * q^5 - 5 * q^6 - 20 * q^8 - 78 * q^9 - 36 * q^12 - 20 * q^13 - 28 * q^14 - 11 * q^16 - 10 * q^17 - 20 * q^18 - 29 * q^20 + 25 * q^22 - 65 * q^24 - 152 * q^25 + 40 * q^26 - 5 * q^28 - 10 * q^29 + 5 * q^30 + 4 * q^33 - 132 * q^34 - 24 * q^36 - 6 * q^37 - 10 * q^38 - 20 * q^40 - 50 * q^41 - 49 * q^42 - 4 * q^44 + 28 * q^45 - 25 * q^46 + 35 * q^48 + 62 * q^49 + 20 * q^50 + 15 * q^52 - 8 * q^53 - 2 * q^56 - 40 * q^57 + 41 * q^58 - 68 * q^60 - 10 * q^61 - 5 * q^62 - 36 * q^64 - 66 * q^66 + 60 * q^68 - 58 * q^69 + 118 * q^70 - 5 * q^72 - 40 * q^73 + 45 * q^74 - 76 * q^77 + 12 * q^78 - 41 * q^80 + 30 * q^81 - 37 * q^82 + 50 * q^84 - 10 * q^85 - 120 * q^86 + 89 * q^88 - 40 * q^89 - 250 * q^90 - 46 * q^92 - 2 * q^93 - 5 * q^94 + 110 * q^96 - 10 * q^97

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