LMFDB - Embedded newform 403.2.bl.b.16.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [403,2,Mod(16,403)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(403, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([10, 6]))

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

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

chi := DirichletCharacter("403.16");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 403 = 13 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	403.bl (of order $15$, 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:	$3.21797120146$
Analytic rank:	$0$
Dimension:	$280$
Relative dimension:	$35$ over $\Q(\zeta_{15})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label			16.12
Character	$\chi$	$=$	403.16
Dual form			403.2.bl.b.126.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.17029 - 0.521045i) q^{2} +(-0.352762 + 3.35630i) q^{3} +(-0.240178 - 0.266745i) q^{4} -1.20807 q^{5} +(2.16162 - 3.74403i) q^{6} +(1.07211 + 1.19070i) q^{7} +(0.933816 + 2.87399i) q^{8} +(-8.20588 - 1.74421i) q^{9} +O(q^{10})$	\(q+(-1.17029 - 0.521045i) q^{2} +(-0.352762 + 3.35630i) q^{3} +(-0.240178 - 0.266745i) q^{4} -1.20807 q^{5} +(2.16162 - 3.74403i) q^{6} +(1.07211 + 1.19070i) q^{7} +(0.933816 + 2.87399i) q^{8} +(-8.20588 - 1.74421i) q^{9} +(1.41379 + 0.629461i) q^{10} +(-1.85499 + 0.394290i) q^{11} +(0.980002 - 0.712013i) q^{12} +(-3.57542 - 0.465174i) q^{13} +(-0.634268 - 1.95208i) q^{14} +(0.426162 - 4.05466i) q^{15} +(0.329608 - 3.13601i) q^{16} +(5.35199 + 1.13760i) q^{17} +(8.69442 + 6.31687i) q^{18} +(-0.302116 - 2.87444i) q^{19} +(0.290153 + 0.322247i) q^{20} +(-4.37455 + 3.17829i) q^{21} +(2.37631 + 0.505100i) q^{22} +(-0.225642 + 0.250601i) q^{23} +(-9.97540 + 2.12034i) q^{24} -3.54056 q^{25} +(3.94189 + 2.40734i) q^{26} +(5.62023 - 17.2973i) q^{27} +(0.0601154 - 0.571960i) q^{28} +(3.20062 + 1.42501i) q^{29} +(-2.61139 + 4.52307i) q^{30} +(-3.49400 - 4.33497i) q^{31} +(1.00216 - 1.73579i) q^{32} +(-0.668987 - 6.36499i) q^{33} +(-5.67062 - 4.11994i) q^{34} +(-1.29519 - 1.43845i) q^{35} +(1.50561 + 2.60780i) q^{36} +(-1.25817 - 2.17921i) q^{37} +(-1.14415 + 3.52134i) q^{38} +(2.82253 - 11.8361i) q^{39} +(-1.12812 - 3.47199i) q^{40} +(-4.14408 - 1.84506i) q^{41} +(6.77551 - 1.44018i) q^{42} +(-0.599654 - 5.70533i) q^{43} +(0.550702 + 0.400108i) q^{44} +(9.91331 + 2.10714i) q^{45} +(0.394641 - 0.175705i) q^{46} +(-5.94989 - 4.32285i) q^{47} +(10.4091 + 2.21253i) q^{48} +(0.463355 - 4.40853i) q^{49} +(4.14347 + 1.84479i) q^{50} +(-5.70610 + 17.5616i) q^{51} +(0.734654 + 1.06545i) q^{52} +(3.36875 + 10.3679i) q^{53} +(-15.5900 + 17.3144i) q^{54} +(2.24096 - 0.476331i) q^{55} +(-2.42090 + 4.19313i) q^{56} +9.75407 q^{57} +(-3.00315 - 3.33534i) q^{58} +(-5.64681 + 2.51412i) q^{59} +(-1.18391 + 0.860164i) q^{60} +(-5.14658 + 8.91413i) q^{61} +(1.83026 + 6.89369i) q^{62} +(-6.72078 - 11.6407i) q^{63} +(-7.17935 + 5.21610i) q^{64} +(4.31937 + 0.561964i) q^{65} +(-2.53354 + 7.79744i) q^{66} +(0.481780 + 0.834468i) q^{67} +(-0.981981 - 1.70084i) q^{68} +(-0.761495 - 0.845726i) q^{69} +(0.766243 + 2.35825i) q^{70} +(1.59491 + 0.339008i) q^{71} +(-2.64993 - 25.2124i) q^{72} +(-5.25474 + 16.1724i) q^{73} +(0.336950 + 3.20586i) q^{74} +(1.24897 - 11.8832i) q^{75} +(-0.694180 + 0.770965i) q^{76} +(-2.45823 - 1.78601i) q^{77} +(-9.47031 + 12.3810i) q^{78} +(0.761168 + 2.34263i) q^{79} +(-0.398190 + 3.78853i) q^{80} +(33.0806 + 14.7284i) q^{81} +(3.88840 + 4.31851i) q^{82} +(2.98476 - 2.16855i) q^{83} +(1.89846 + 0.403531i) q^{84} +(-6.46559 - 1.37430i) q^{85} +(-2.27097 + 6.98931i) q^{86} +(-5.91182 + 10.2396i) q^{87} +(-2.86540 - 4.96302i) q^{88} +(8.27615 - 1.75915i) q^{89} +(-10.5035 - 7.63124i) q^{90} +(-3.27936 - 4.75596i) q^{91} +0.121041 q^{92} +(15.7820 - 10.1977i) q^{93} +(4.71068 + 8.15913i) q^{94} +(0.364978 + 3.47253i) q^{95} +(5.47230 + 3.97586i) q^{96} +(-3.93573 - 4.37107i) q^{97} +(-2.83930 + 4.91782i) q^{98} +15.9095 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 280 q + q^{2} + 39 q^{4} - 8 q^{5} - 2 q^{7} + 12 q^{8} + 29 q^{9}+O(q^{10}) $ 280 * q + q^2 + 39 * q^4 - 8 * q^5 - 2 * q^7 + 12 * q^8 + 29 * q^9	\( 280 q + q^{2} + 39 q^{4} - 8 q^{5} - 2 q^{7} + 12 q^{8} + 29 q^{9} - 21 q^{10} - q^{11} - 16 q^{12} - 54 q^{14} - 27 q^{15} + 31 q^{16} + 2 q^{17} - 10 q^{18} + 5 q^{19} - 3 q^{20} + 68 q^{21} - 39 q^{22} - 7 q^{23} + 48 q^{24} + 200 q^{25} + 6 q^{26} - 78 q^{27} + 30 q^{28} - 16 q^{29} - 66 q^{30} - 62 q^{31} - 56 q^{32} - 20 q^{33} - 126 q^{34} - 37 q^{35} - 140 q^{36} - 36 q^{37} + 4 q^{38} + 28 q^{39} - 158 q^{40} - 4 q^{41} + 16 q^{42} - 16 q^{43} + 42 q^{44} - 46 q^{45} - 29 q^{46} + 8 q^{47} - 36 q^{48} + 43 q^{49} - 5 q^{50} - 134 q^{51} - q^{52} + 8 q^{53} + 44 q^{54} - 55 q^{55} - 42 q^{56} + 140 q^{57} + 38 q^{58} - 23 q^{59} + 38 q^{60} + 40 q^{61} + 19 q^{62} - 146 q^{63} - 68 q^{64} + 2 q^{65} + 6 q^{66} + 46 q^{67} + 86 q^{68} - 32 q^{69} - 4 q^{70} + 60 q^{71} + 73 q^{72} - 12 q^{73} - 44 q^{74} + 16 q^{75} - 70 q^{76} + 10 q^{77} - 142 q^{78} + 134 q^{79} - 72 q^{80} - 18 q^{81} + 28 q^{82} - 88 q^{83} + 81 q^{84} - 69 q^{85} + 188 q^{86} - 28 q^{87} + 42 q^{88} + 12 q^{89} + 22 q^{90} + 67 q^{91} - 324 q^{92} - 25 q^{93} - 62 q^{94} + 16 q^{95} + 276 q^{96} + 16 q^{97} + 76 q^{98} - 60 q^{99}+O(q^{100}) \) 280 * q + q^2 + 39 * q^4 - 8 * q^5 - 2 * q^7 + 12 * q^8 + 29 * q^9 - 21 * q^10 - q^11 - 16 * q^12 - 54 * q^14 - 27 * q^15 + 31 * q^16 + 2 * q^17 - 10 * q^18 + 5 * q^19 - 3 * q^20 + 68 * q^21 - 39 * q^22 - 7 * q^23 + 48 * q^24 + 200 * q^25 + 6 * q^26 - 78 * q^27 + 30 * q^28 - 16 * q^29 - 66 * q^30 - 62 * q^31 - 56 * q^32 - 20 * q^33 - 126 * q^34 - 37 * q^35 - 140 * q^36 - 36 * q^37 + 4 * q^38 + 28 * q^39 - 158 * q^40 - 4 * q^41 + 16 * q^42 - 16 * q^43 + 42 * q^44 - 46 * q^45 - 29 * q^46 + 8 * q^47 - 36 * q^48 + 43 * q^49 - 5 * q^50 - 134 * q^51 - q^52 + 8 * q^53 + 44 * q^54 - 55 * q^55 - 42 * q^56 + 140 * q^57 + 38 * q^58 - 23 * q^59 + 38 * q^60 + 40 * q^61 + 19 * q^62 - 146 * q^63 - 68 * q^64 + 2 * q^65 + 6 * q^66 + 46 * q^67 + 86 * q^68 - 32 * q^69 - 4 * q^70 + 60 * q^71 + 73 * q^72 - 12 * q^73 - 44 * q^74 + 16 * q^75 - 70 * q^76 + 10 * q^77 - 142 * q^78 + 134 * q^79 - 72 * q^80 - 18 * q^81 + 28 * q^82 - 88 * q^83 + 81 * q^84 - 69 * q^85 + 188 * q^86 - 28 * q^87 + 42 * q^88 + 12 * q^89 + 22 * q^90 + 67 * q^91 - 324 * q^92 - 25 * q^93 - 62 * q^94 + 16 * q^95 + 276 * q^96 + 16 * q^97 + 76 * q^98 - 60 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/403\mathbb{Z}\right)^\times$.

$n$	$249$	$313$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{5}\right)$

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 $

$2$	−1.17029	−	0.521045i	−0.827518	−	0.368435i	−0.0511314	−	0.998692i	$-0.516283\pi$
$2$	−1.17029	−	0.521045i	−0.827518	−	0.368435i	−0.776386	+	0.630257i	$0.782949\pi$
$3$	−0.352762	+	3.35630i	−0.203667	+	1.93776i	0.122539	+	0.992464i	$0.460896\pi$
$3$	−0.352762	+	3.35630i	−0.203667	+	1.93776i	−0.326206	+	0.945299i	$0.605770\pi$
$4$	−0.240178	−	0.266745i	−0.120089	−	0.133372i
$5$	−1.20807			−0.540267			−0.270133	−	0.962823i	$-0.587068\pi$
$5$	−1.20807			−0.540267			−0.270133	+	0.962823i	$0.587068\pi$
$6$	2.16162	−	3.74403i	0.882477	−	1.52849i
$7$	1.07211	+	1.19070i	0.405220	+	0.450042i	0.910868	−	0.412698i	$-0.135413\pi$
$7$	1.07211	+	1.19070i	0.405220	+	0.450042i	−0.505648	+	0.862740i	$0.668747\pi$
$8$	0.933816	+	2.87399i	0.330154	+	1.01611i
$9$	−8.20588	−	1.74421i	−2.73529	−	0.581405i
$10$	1.41379	+	0.629461i	0.447080	+	0.199053i
$11$	−1.85499	+	0.394290i	−0.559300	+	0.118883i	−0.478883	−	0.877879i	$-0.658958\pi$
$11$	−1.85499	+	0.394290i	−0.559300	+	0.118883i	−0.0804164	+	0.996761i	$0.525625\pi$
$12$	0.980002	−	0.712013i	0.282902	−	0.205540i
$13$	−3.57542	−	0.465174i	−0.991643	−	0.129016i
$13$	−3.57542	−	0.465174i	−0.991643	−	0.129016i
$14$	−0.634268	−	1.95208i	−0.169515	−	0.521715i
$15$	0.426162	−	4.05466i	0.110035	−	1.04691i
$16$	0.329608	−	3.13601i	0.0824019	−	0.784002i
$17$	5.35199	+	1.13760i	1.29805	+	0.275908i	0.804574	−	0.593853i	$-0.202394\pi$
$17$	5.35199	+	1.13760i	1.29805	+	0.275908i	0.493473	+	0.869761i	$0.335727\pi$
$18$	8.69442	+	6.31687i	2.04930	+	1.48890i
$19$	−0.302116	−	2.87444i	−0.0693101	−	0.659442i	−0.972929	−	0.231104i	$-0.925766\pi$
$19$	−0.302116	−	2.87444i	−0.0693101	−	0.659442i	0.903619	−	0.428337i	$-0.140901\pi$
$20$	0.290153	+	0.322247i	0.0648801	+	0.0720567i
$21$	−4.37455	+	3.17829i	−0.954604	+	0.693560i
$22$	2.37631	+	0.505100i	0.506631	+	0.107688i
$23$	−0.225642	+	0.250601i	−0.0470497	+	0.0522539i	−0.766210	−	0.642590i	$-0.777860\pi$
$23$	−0.225642	+	0.250601i	−0.0470497	+	0.0522539i	0.719161	+	0.694844i	$0.244527\pi$
$24$	−9.97540	+	2.12034i	−2.03622	+	0.432812i
$25$	−3.54056			−0.708112
$26$	3.94189	+	2.40734i	0.773068	+	0.472118i
$27$	5.62023	−	17.2973i	1.08161	−	3.32886i
$28$	0.0601154	−	0.571960i	0.0113607	−	0.108090i
$29$	3.20062	+	1.42501i	0.594341	+	0.264618i	0.681786	−	0.731552i	$-0.261204\pi$
$29$	3.20062	+	1.42501i	0.594341	+	0.264618i	−0.0874451	+	0.996169i	$0.527870\pi$
$30$	−2.61139	+	4.52307i	−0.476773	+	0.825795i
$31$	−3.49400	−	4.33497i	−0.627540	−	0.778584i
$31$	−3.49400	−	4.33497i	−0.627540	−	0.778584i
$32$	1.00216	−	1.73579i	0.177158	−	0.306847i
$33$	−0.668987	−	6.36499i	−0.116456	−	1.10800i
$34$	−5.67062	−	4.11994i	−0.972503	−	0.706565i
$35$	−1.29519	−	1.43845i	−0.218927	−	0.243143i
$36$	1.50561	+	2.60780i	0.250936	+	0.434633i
$37$	−1.25817	−	2.17921i	−0.206842	−	0.358260i	0.743876	−	0.668317i	$-0.232985\pi$
$37$	−1.25817	−	2.17921i	−0.206842	−	0.358260i	−0.950718	+	0.310057i	$0.899652\pi$
$38$	−1.14415	+	3.52134i	−0.185606	+	0.571236i
$39$	2.82253	−	11.8361i	0.451967	−	1.89529i
$40$	−1.12812	−	3.47199i	−0.178371	−	0.548970i
$41$	−4.14408	−	1.84506i	−0.647197	−	0.288151i	0.0567660	−	0.998388i	$-0.481921\pi$
$41$	−4.14408	−	1.84506i	−0.647197	−	0.288151i	−0.703963	+	0.710237i	$0.748588\pi$
$42$	6.77551	−	1.44018i	1.04548	−	0.222224i
$43$	−0.599654	−	5.70533i	−0.0914464	−	0.870054i	−0.940053	−	0.341029i	$-0.889225\pi$
$43$	−0.599654	−	5.70533i	−0.0914464	−	0.870054i	0.848606	−	0.529025i	$-0.177442\pi$
$44$	0.550702	+	0.400108i	0.0830215	+	0.0603186i
$45$	9.91331	+	2.10714i	1.47779	+	0.314114i
$46$	0.394641	−	0.175705i	0.0581866	−	0.0259063i
$47$	−5.94989	−	4.32285i	−0.867881	−	0.630552i	0.0621368	−	0.998068i	$-0.480209\pi$
$47$	−5.94989	−	4.32285i	−0.867881	−	0.630552i	−0.930017	+	0.367515i	$0.880209\pi$
$48$	10.4091	+	2.21253i	1.50243	+	0.319351i
$49$	0.463355	−	4.40853i	0.0661936	−	0.629790i
$50$	4.14347	+	1.84479i	0.585975	+	0.260893i
$51$	−5.70610	+	17.5616i	−0.799014	+	2.45911i
$52$	0.734654	+	1.06545i	0.101878	+	0.147751i
$53$	3.36875	+	10.3679i	0.462733	+	1.42415i	0.861811	+	0.507230i	$0.169330\pi$
$53$	3.36875	+	10.3679i	0.462733	+	1.42415i	−0.399078	+	0.916917i	$0.630670\pi$
$54$	−15.5900	+	17.3144i	−2.12152	+	2.35619i
$55$	2.24096	−	0.476331i	0.302171	−	0.0642284i
$56$	−2.42090	+	4.19313i	−0.323507	+	0.560331i
$57$	9.75407			1.29196
$58$	−3.00315	−	3.33534i	−0.394333	−	0.437952i
$59$	−5.64681	+	2.51412i	−0.735152	+	0.327311i	−0.739936	−	0.672678i	$-0.765144\pi$
$59$	−5.64681	+	2.51412i	−0.735152	+	0.327311i	0.00478323	+	0.999989i	$0.498477\pi$
$60$	−1.18391	+	0.860164i	−0.152843	+	0.111047i
$61$	−5.14658	+	8.91413i	−0.658952	+	1.14134i	0.321936	+	0.946762i	$0.395667\pi$
$61$	−5.14658	+	8.91413i	−0.658952	+	1.14134i	−0.980887	+	0.194576i	$0.937667\pi$
$62$	1.83026	+	6.89369i	0.232443	+	0.875500i
$63$	−6.72078	−	11.6407i	−0.846738	−	1.46659i
$64$	−7.17935	+	5.21610i	−0.897419	+	0.652013i
$65$	4.31937	+	0.561964i	0.535752	+	0.0697030i
$66$	−2.53354	+	7.79744i	−0.311857	+	0.959798i
$67$	0.481780	+	0.834468i	0.0588588	+	0.101946i	0.893953	−	0.448160i	$-0.147920\pi$
$67$	0.481780	+	0.834468i	0.0588588	+	0.101946i	−0.835095	+	0.550106i	$0.814587\pi$
$68$	−0.981981	−	1.70084i	−0.119083	−	0.206257i
$69$	−0.761495	−	0.845726i	−0.0916732	−	0.101813i
$70$	0.766243	+	2.35825i	0.0915835	+	0.281865i
$71$	1.59491	+	0.339008i	0.189281	+	0.0402328i	0.301576	−	0.953442i	$-0.402487\pi$
$71$	1.59491	+	0.339008i	0.189281	+	0.0402328i	−0.112296	+	0.993675i	$0.535820\pi$
$72$	−2.64993	−	25.2124i	−0.312297	−	2.97131i
$73$	−5.25474	+	16.1724i	−0.615021	+	1.89284i	−0.213720	+	0.976895i	$0.568558\pi$
$73$	−5.25474	+	16.1724i	−0.615021	+	1.89284i	−0.401302	+	0.915946i	$0.631442\pi$
$74$	0.336950	+	3.20586i	0.0391696	+	0.372674i
$75$	1.24897	−	11.8832i	0.144219	−	1.37215i
$76$	−0.694180	+	0.770965i	−0.0796279	+	0.0884358i
$77$	−2.45823	−	1.78601i	−0.280141	−	0.203535i
$78$	−9.47031	+	12.3810i	−1.07230	+	1.40187i
$79$	0.761168	+	2.34263i	0.0856380	+	0.263567i	0.984701	−	0.174253i	$-0.0557509\pi$
$79$	0.761168	+	2.34263i	0.0856380	+	0.263567i	−0.899063	+	0.437819i	$0.855751\pi$
$80$	−0.398190	+	3.78853i	−0.0445190	+	0.423570i
$81$	33.0806	+	14.7284i	3.67562	+	1.63649i
$82$	3.88840	+	4.31851i	0.429402	+	0.476899i
$83$	2.98476	−	2.16855i	0.327620	−	0.238030i	−0.411800	−	0.911274i	$-0.635100\pi$
$83$	2.98476	−	2.16855i	0.327620	−	0.238030i	0.739420	+	0.673245i	$0.235100\pi$
$84$	1.89846	+	0.403531i	0.207139	+	0.0440288i
$85$	−6.46559	−	1.37430i	−0.701292	−	0.149064i
$86$	−2.27097	+	6.98931i	−0.244885	+	0.753677i
$87$	−5.91182	+	10.2396i	−0.633814	+	1.09780i
$88$	−2.86540	−	4.96302i	−0.305453	−	0.529060i
$89$	8.27615	−	1.75915i	0.877270	−	0.186470i	0.252800	−	0.967518i	$-0.418648\pi$
$89$	8.27615	−	1.75915i	0.877270	−	0.186470i	0.624470	+	0.781049i	$0.285315\pi$
$90$	−10.5035	−	7.63124i	−1.10717	−	0.804403i
$91$	−3.27936	−	4.75596i	−0.343770	−	0.498561i
$92$	0.121041			0.0126194
$93$	15.7820	−	10.1977i	1.63652	−	1.05745i
$94$	4.71068	+	8.15913i	0.485869	+	0.841550i
$95$	0.364978	+	3.47253i	0.0374460	+	0.356275i
$96$	5.47230	+	3.97586i	0.558514	+	0.405784i
$97$	−3.93573	−	4.37107i	−0.399613	−	0.443815i	0.509434	−	0.860510i	$-0.329855\pi$
$97$	−3.93573	−	4.37107i	−0.399613	−	0.443815i	−0.909046	+	0.416695i	$0.863188\pi$
$98$	−2.83930	+	4.91782i	−0.286813	+	0.496775i
$99$	15.9095			1.59897
$100$	0.850365	+	0.944426i	0.0850365	+	0.0944426i
$101$	−9.55198	+	10.6085i	−0.950458	+	1.05559i	0.0479315	+	0.998851i	$0.484737\pi$
$101$	−9.55198	+	10.6085i	−0.950458	+	1.05559i	−0.998389	+	0.0567394i	$0.981930\pi$
$102$	15.8282	−	17.5789i	1.56722	−	1.74058i
$103$	0.0337313	−	0.0245073i	0.00332365	−	0.00241477i	−0.586122	−	0.810223i	$-0.699346\pi$
$103$	0.0337313	−	0.0245073i	0.00332365	−	0.00241477i	0.589446	+	0.807808i	$0.299346\pi$
$104$	−2.00188	−	10.7101i	−0.196300	−	1.05021i
$105$	5.28477	−	3.83961i	0.515741	−	0.374708i
$106$	1.45977	−	13.8887i	0.141785	−	1.34899i
$107$	−10.6014	+	11.7740i	−1.02487	+	1.13824i	−0.0345582	+	0.999403i	$0.511002\pi$
$107$	−10.6014	+	11.7740i	−1.02487	+	1.13824i	−0.990316	+	0.138835i	$0.955664\pi$
$108$	−5.96382	+	2.65526i	−0.573869	+	0.255503i
$109$	−13.6867	−	9.94394i	−1.31094	−	0.952457i	−0.999998	−	0.00202921i	$-0.999354\pi$
$109$	−13.6867	−	9.94394i	−1.31094	−	0.952457i	−0.310946	−	0.950427i	$-0.600646\pi$
$110$	−2.87076	−	0.610198i	−0.273716	−	0.0581801i
$111$	7.75793	−	3.45405i	0.736350	−	0.327844i
$112$	4.08742	−	2.96968i	0.386224	−	0.280609i
$113$	−1.78633	−	1.98392i	−0.168043	−	0.186631i	0.653241	−	0.757150i	$-0.273409\pi$
$113$	−1.78633	−	1.98392i	−0.168043	−	0.186631i	−0.821285	+	0.570519i	$0.806742\pi$
$114$	−11.4151	−	5.08231i	−1.06912	−	0.476002i
$115$	0.272592	−	0.302744i	0.0254194	−	0.0282311i
$116$	−0.388606	−	1.19601i	−0.0360811	−	0.111046i
$117$	28.5281	+	10.0535i	2.63742	+	0.929442i
$118$	7.91836			0.728944
$119$	4.38338	+	7.59224i	0.401824	+	0.695979i
$120$	12.0510	−	2.56152i	1.10010	−	0.233834i
$121$	−6.76349	+	3.01130i	−0.614862	+	0.273754i
$122$	10.6676	−	7.75049i	0.965803	−	0.701697i
$123$	7.65446	−	13.2579i	0.690180	−	1.19543i
$124$	−0.317150	+	1.97317i	−0.0284809	+	0.177196i
$125$	10.3176			0.922836
$126$	1.79989	+	17.1248i	0.160347	+	1.52560i
$127$	0.251783	−	2.39555i	0.0223421	−	0.212571i	−0.977655	−	0.210215i	$-0.932584\pi$
$127$	0.251783	−	2.39555i	0.0223421	−	0.212571i	0.999997	−	0.00235560i	$-0.000749812\pi$
$128$	7.19869	−	1.53013i	0.636281	−	0.135246i
$129$	19.3603			1.70458
$130$	−4.76209	−	2.90824i	−0.417663	−	0.255070i
$131$	−4.22924	+	13.0163i	−0.369510	+	1.13724i	0.577598	+	0.816321i	$0.303990\pi$
$131$	−4.22924	+	13.0163i	−0.369510	+	1.13724i	−0.947108	+	0.320914i	$0.896010\pi$
$132$	−1.53715	+	1.70718i	−0.133792	+	0.148591i
$133$	3.09869	−	3.44145i	0.268691	−	0.298411i
$134$	−0.129026	−	1.22760i	−0.0111461	−	0.106048i
$135$	−6.78965	+	20.8964i	−0.584360	+	1.79848i
$136$	1.72832	+	16.4439i	0.148202	+	1.41005i
$137$	−13.6199	+	6.06395i	−1.16362	+	0.518079i	−0.895393	−	0.445276i	$-0.853105\pi$
$137$	−13.6199	+	6.06395i	−1.16362	+	0.518079i	−0.268230	+	0.963355i	$0.586439\pi$
$138$	0.450506	+	1.38652i	0.0383496	+	0.118028i
$139$	−5.67373	+	2.52611i	−0.481239	+	0.214262i	−0.632994	−	0.774157i	$-0.718174\pi$
$139$	−5.67373	+	2.52611i	−0.481239	+	0.214262i	0.151755	+	0.988418i	$0.451508\pi$
$140$	−0.0726238	+	0.690969i	−0.00613783	+	0.0583976i
$141$	16.6077	−	18.4447i	1.39862	−	1.55332i
$142$	−1.68986	−	1.22775i	−0.141810	−	0.103031i
$143$	6.81577	−	0.546859i	0.569963	−	0.0457307i
$144$	−8.17459	+	25.1588i	−0.681216	+	2.09657i
$145$	−3.86659	−	1.72152i	−0.321103	−	0.142964i
$146$	14.5761	−	16.1884i	1.20633	−	1.33976i
$147$	14.6329	+	3.11032i	1.20690	+	0.256535i
$148$	−0.279109	+	0.859009i	−0.0229426	+	0.0706101i
$149$	4.11298	−	7.12389i	0.336948	−	0.583611i	−0.646909	−	0.762567i	$-0.723939\pi$
$149$	4.11298	−	7.12389i	0.336948	−	0.583611i	0.983857	+	0.178956i	$0.0572719\pi$
$150$	−7.65334	+	13.2560i	−0.624892	+	1.08235i
$151$	4.73240	−	14.5648i	0.385117	−	1.18527i	−0.551279	−	0.834321i	$-0.685860\pi$
$151$	4.73240	−	14.5648i	0.385117	−	1.18527i	0.936395	−	0.350947i	$-0.114140\pi$
$152$	7.97900	−	3.55248i	0.647182	−	0.288144i
$153$	−41.9336	−	18.6700i	−3.39013	−	1.50938i
$154$	1.94624	+	3.37099i	0.156833	+	0.271642i
$155$	4.22100	+	5.23697i	0.339039	+	0.420643i
$156$	−3.83513	+	2.08987i	−0.307056	+	0.167324i
$157$	15.3108	−	11.1239i	1.22193	−	0.887786i	0.225674	−	0.974203i	$-0.427542\pi$
$157$	15.3108	−	11.1239i	1.22193	−	0.887786i	0.996259	+	0.0864170i	$0.0275417\pi$
$158$	0.329833	−	3.13816i	0.0262401	−	0.249658i
$159$	−35.9863	+	7.64913i	−2.85390	+	0.606615i
$160$	−1.21068	+	2.09696i	−0.0957126	+	0.165779i
$161$	−0.540304			−0.0425819
$162$	−31.0396	−	34.4729i	−2.43870	−	2.70845i
$163$	−10.3515	−	2.20029i	−0.810795	−	0.172340i	−0.216183	−	0.976353i	$-0.569361\pi$
$163$	−10.3515	−	2.20029i	−0.810795	−	0.172340i	−0.594612	+	0.804013i	$0.702694\pi$
$164$	0.503156	+	1.54856i	0.0392899	+	0.120922i
$165$	0.808186	+	7.68937i	0.0629172	+	0.598617i
$166$	−4.62293	+	0.982635i	−0.358809	+	0.0762673i
$167$	−14.5995	−	6.50014i	−1.12975	−	0.502996i	−0.245212	−	0.969469i	$-0.578858\pi$
$167$	−14.5995	−	6.50014i	−1.12975	−	0.502996i	−0.884535	+	0.466474i	$0.845524\pi$
$168$	−13.2194	−	9.60446i	−1.01990	−	0.741001i
$169$	12.5672	+	3.32638i	0.966710	+	0.255875i
$170$	6.85052	+	4.97720i	0.525411	+	0.381733i
$171$	−2.53451	+	24.1143i	−0.193819	+	1.84406i
$172$	−1.37784	+	1.53025i	−0.105059	+	0.116680i
$173$	−15.2191	+	6.77600i	−1.15709	+	0.515170i	−0.893322	−	0.449416i	$-0.851632\pi$
$173$	−15.2191	+	6.77600i	−1.15709	+	0.515170i	−0.263768	+	0.964586i	$0.584965\pi$
$174$	12.2538	−	8.90291i	0.928959	−	0.674928i
$175$	−3.79587	−	4.21574i	−0.286941	−	0.318680i
$176$	0.625077	+	5.94721i	0.0471170	+	0.448288i
$177$	−6.44618	−	19.8393i	−0.484525	−	1.49121i
$178$	−10.6021	−	2.25354i	−0.794658	−	0.168910i
$179$	−6.24112	+	1.32659i	−0.466483	+	0.0991541i	−0.435156	−	0.900355i	$-0.643307\pi$
$179$	−6.24112	+	1.32659i	−0.466483	+	0.0991541i	−0.0313273	+	0.999509i	$0.509973\pi$
$180$	−1.81889	−	3.15041i	−0.135572	−	0.234818i
$181$	11.7806			0.875646			0.437823	−	0.899061i	$-0.355750\pi$
$181$	11.7806			0.875646			0.437823	+	0.899061i	$0.355750\pi$
$182$	1.35972	+	7.27454i	0.100789	+	0.539225i
$183$	−28.1030	−	20.4180i	−2.07743	−	1.50934i
$184$	−0.930934	−	0.414478i	−0.0686293	−	0.0305558i
$185$	1.51996	+	2.63265i	0.111750	+	0.193556i
$186$	−23.7830	+	3.71108i	−1.74385	+	0.272110i
$187$	−10.3764			−0.758798
$188$	0.275936	+	2.62536i	0.0201247	+	0.191474i
$189$	26.6214	−	11.8526i	1.93642	−	0.862150i
$190$	1.38222	−	4.25403i	0.100277	−	0.308620i
$191$	11.9616	−	20.7180i	0.865508	−	1.49910i	−0.00103322	−	0.999999i	$-0.500329\pi$
$191$	11.9616	−	20.7180i	0.865508	−	1.49910i	0.866542	−	0.499105i	$-0.166338\pi$
$192$	−14.9742	−	25.9361i	−1.08067	−	1.87178i
$193$	−4.59902	+	0.977551i	−0.331044	+	0.0703656i	−0.370435	−	0.928858i	$-0.620792\pi$
$193$	−4.59902	+	0.977551i	−0.331044	+	0.0703656i	0.0393911	+	0.999224i	$0.487458\pi$
$194$	2.32841	+	7.16610i	0.167170	+	0.514496i
$195$	−3.40983	+	14.2989i	−0.244183	+	1.02396i
$196$	−1.28724	+	0.935235i	−0.0919458	+	0.0668025i
$197$	2.46264	−	0.523450i	0.175456	−	0.0372943i	−0.119346	−	0.992853i	$-0.538080\pi$
$197$	2.46264	−	0.523450i	0.175456	−	0.0372943i	0.294802	+	0.955558i	$0.404746\pi$
$198$	−18.6187	−	8.28959i	−1.32317	−	0.589115i
$199$	−3.08945	+	1.37551i	−0.219006	+	0.0975076i	−0.513307	−	0.858205i	$-0.671580\pi$
$199$	−3.08945	+	1.37551i	−0.219006	+	0.0975076i	0.294301	+	0.955713i	$0.404913\pi$
$200$	−3.30623	−	10.1755i	−0.233786	−	0.719519i
$201$	−2.97068	+	1.32263i	−0.209536	+	0.0932913i
$202$	16.7061	−	7.43803i	1.17544	−	0.523338i
$203$	1.73466	+	5.33875i	0.121750	+	0.374707i
$204$	6.05494	−	2.69583i	0.423931	−	0.188746i
$205$	5.00635	+	2.22897i	0.349659	+	0.155678i
$206$	−0.0522447	+	0.0111050i	−0.00364006	+	0.000773719i
$207$	2.28870	−	1.66283i	0.159075	−	0.115575i
$208$	−2.63727	+	11.0592i	−0.182862	+	0.766818i
$209$	1.69378	+	5.21293i	0.117161	+	0.360586i
$210$	−8.18531	+	1.73984i	−0.564840	+	0.120060i
$211$	7.42169	+	12.8548i	0.510930	+	0.884958i	0.999920	+	0.0126678i	$0.00403238\pi$
$211$	7.42169	+	12.8548i	0.510930	+	0.884958i	−0.488989	+	0.872290i	$0.662634\pi$
$212$	1.95650	−	3.38875i	0.134373	−	0.232740i
$213$	−1.70043	+	5.23340i	−0.116512	+	0.358587i
$214$	18.5414	−	8.25518i	1.26747	−	0.564313i
$215$	0.724426	+	6.89245i	0.0494054	+	0.470061i
$216$	54.9605			3.73959
$217$	1.41570	−	8.80787i	0.0961039	−	0.597917i
$218$	10.8361	+	18.7686i	0.733912	+	1.27117i
$219$	−52.4259	−	23.3415i	−3.54262	−	1.57727i
$220$	−0.665288	−	0.483360i	−0.0448537	−	0.0325882i
$221$	−18.6064	−	6.55700i	−1.25160	−	0.441071i
$222$	−10.8787			−0.730132
$223$	−5.30955	−	9.19641i	−0.355554	−	0.615837i	0.631659	−	0.775247i	$-0.282374\pi$
$223$	−5.30955	−	9.19641i	−0.355554	−	0.615837i	−0.987213	+	0.159409i	$0.949041\pi$
$224$	3.14122	−	0.667687i	0.209882	−	0.0446117i
$225$	29.0534	+	6.17549i	1.93689	+	0.411700i
$226$	1.05680	+	3.25251i	0.0702976	+	0.216354i
$227$	2.51509	+	23.9294i	0.166932	+	1.58825i	0.682162	+	0.731201i	$0.261040\pi$
$227$	2.51509	+	23.9294i	0.166932	+	1.58825i	−0.515230	+	0.857052i	$0.672294\pi$
$228$	−2.34271	−	2.60185i	−0.155150	−	0.172311i
$229$	−15.7185	+	11.4202i	−1.03871	+	0.754665i	−0.970033	−	0.242974i	$-0.921877\pi$
$229$	−15.7185	+	11.4202i	−1.03871	+	0.754665i	−0.0686750	+	0.997639i	$0.521877\pi$
$230$	−0.476755	+	0.212265i	−0.0314363	+	0.0139963i
$231$	6.86156	−	7.62053i	0.451457	−	0.501394i
$232$	−1.10667	+	10.5293i	−0.0726564	+	0.691280i
$233$	21.4957	+	15.6176i	1.40823	+	1.02314i	0.993576	+	0.113163i	$0.0360982\pi$
$233$	21.4957	+	15.6176i	1.40823	+	1.02314i	0.414656	+	0.909978i	$0.363902\pi$
$234$	−28.1478	−	26.6299i	−1.84008	−	1.74085i
$235$	7.18790	+	5.22232i	0.468887	+	0.340666i
$236$	2.02687	+	0.902421i	0.131938	+	0.0587426i
$237$	−8.13110	+	1.72832i	−0.528171	+	0.112266i
$238$	−1.17391	−	11.1690i	−0.0760935	−	0.723981i
$239$	3.38925	+	10.4310i	0.219232	+	0.674727i	0.998826	+	0.0484419i	$0.0154256\pi$
$239$	3.38925	+	10.4310i	0.219232	+	0.674727i	−0.779594	+	0.626285i	$0.784574\pi$
$240$	−12.5750	−	2.67289i	−0.811711	−	0.172535i
$241$	−11.3887	−	12.6484i	−0.733610	−	0.814756i	0.254731	−	0.967012i	$-0.418013\pi$
$241$	−11.3887	−	12.6484i	−0.733610	−	0.814756i	−0.988341	+	0.152255i	$0.951346\pi$
$242$	9.48424			0.609670
$243$	−33.8214	+	58.5804i	−2.16964	+	3.75793i
$244$	3.61389	−	0.768157i	0.231356	−	0.0491762i
$245$	−0.559767	+	5.32583i	−0.0357622	+	0.340255i
$246$	−15.8659	+	11.5272i	−1.01157	+	0.734950i
$247$	−0.256923	+	10.4179i	−0.0163476	+	0.662873i
$248$	9.19592	−	14.0898i	0.583942	−	0.894702i
$249$	6.22541	+	10.7827i	0.394519	+	0.683328i
$250$	−12.0746	−	5.37595i	−0.763663	−	0.340005i
$251$	−3.42680	+	1.52571i	−0.216298	+	0.0963020i	−0.512025	−	0.858970i	$-0.671105\pi$
$251$	−3.42680	+	1.52571i	−0.216298	+	0.0963020i	0.295727	+	0.955272i	$0.404438\pi$
$252$	−1.49092	+	4.58858i	−0.0939191	+	0.289053i
$253$	0.319754	−	0.553830i	0.0201028	−	0.0348190i
$254$	−1.54285	+	2.67229i	−0.0968069	+	0.167675i
$255$	6.89339	−	21.2157i	0.431681	−	1.32858i
$256$	8.13868	+	1.72993i	0.508667	+	0.108121i
$257$	2.78444	−	3.09243i	0.173688	−	0.192900i	−0.650015	−	0.759921i	$-0.725237\pi$
$257$	2.78444	−	3.09243i	0.173688	−	0.192900i	0.823703	+	0.567021i	$0.191904\pi$
$258$	−22.6571	−	10.0876i	−1.41057	−	0.628027i
$259$	1.24589	−	3.83445i	0.0774158	−	0.238261i
$260$	−0.887516	−	1.28714i	−0.0550414	−	0.0798250i
$261$	−23.7784	−	17.2760i	−1.47185	−	1.06936i
$262$	11.7315	−	13.0291i	0.724773	−	0.804942i
$263$	2.00846	−	19.1092i	0.123847	−	1.17832i	−0.739302	−	0.673374i	$-0.764844\pi$
$263$	2.00846	−	19.1092i	0.123847	−	1.17832i	0.863149	−	0.504950i	$-0.168489\pi$
$264$	17.6682	−	7.86640i	1.08740	−	0.484143i
$265$	−4.06970	−	12.5252i	−0.249999	−	0.769419i
$266$	−5.41951	+	2.41292i	−0.332291	+	0.147946i
$267$	2.98473	+	28.3978i	0.182663	+	1.73792i
$268$	0.106877	−	0.328933i	0.00652854	−	0.0200928i
$269$	0.523658	+	4.98227i	0.0319280	+	0.303774i	0.998819	+	0.0485850i	$0.0154712\pi$
$269$	0.523658	+	4.98227i	0.0319280	+	0.303774i	−0.966891	+	0.255189i	$0.917862\pi$
$270$	18.8338	−	20.9171i	1.14619	−	1.27297i
$271$	10.2818	−	11.4191i	0.624576	−	0.693661i	−0.344958	−	0.938618i	$-0.612107\pi$
$271$	10.2818	−	11.4191i	0.624576	−	0.693661i	0.969534	+	0.244956i	$0.0787737\pi$
$272$	5.33158	−	16.4089i	0.323274	−	0.994936i
$273$	17.1193	−	9.32880i	1.03611	−	0.564605i
$274$	19.0987			1.15380
$275$	6.56769	−	1.39601i	0.396047	−	0.0841823i
$276$	−0.0426986	+	0.406250i	−0.00257015	+	0.0244534i
$277$	−0.0832342	−	0.791921i	−0.00500106	−	0.0475819i	0.991737	−	0.128289i	$-0.0409487\pi$
$277$	−0.0832342	−	0.791921i	−0.00500106	−	0.0475819i	−0.996738	+	0.0807076i	$0.974282\pi$
$278$	7.95611			0.477176
$279$	21.1102	+	41.6666i	1.26384	+	2.49451i
$280$	2.92463	−	5.06561i	0.174780	−	0.302728i
$281$	15.7421	−	11.4373i	0.939092	−	0.682291i	−0.00910965	−	0.999959i	$-0.502900\pi$
$281$	15.7421	−	11.4373i	0.939092	−	0.682291i	0.948202	+	0.317668i	$0.102900\pi$
$282$	−29.0463	+	12.9322i	−1.72968	+	0.770103i
$283$	21.3864	−	4.54582i	1.27129	−	0.270221i	0.477619	−	0.878567i	$-0.341500\pi$
$283$	21.3864	−	4.54582i	1.27129	−	0.270221i	0.793672	+	0.608346i	$0.208167\pi$
$284$	−0.292633	−	0.506855i	−0.0173646	−	0.0300763i
$285$	−11.7836			−0.698002
$286$	−8.26134	−	2.91134i	−0.488503	−	0.172151i
$287$	−2.24600	−	6.91246i	−0.132577	−	0.408030i
$288$	−11.2512	+	12.4957i	−0.662981	+	0.736315i
$289$	11.8193	+	5.26231i	0.695256	+	0.309548i
$290$	3.62803	+	4.02933i	0.213045	+	0.236611i
$291$	16.0590	−	11.6676i	0.941396	−	0.683964i
$292$	5.57599	−	2.48259i	0.326310	−	0.145283i
$293$	−5.32256	−	1.13135i	−0.310947	−	0.0660939i	0.0497948	−	0.998759i	$-0.484143\pi$
$293$	−5.32256	−	1.13135i	−0.310947	−	0.0660939i	−0.360742	+	0.932666i	$0.617477\pi$
$294$	−15.5041	−	11.2644i	−0.904217	−	0.656952i
$295$	6.82176	−	3.03725i	0.397179	−	0.176835i
$296$	5.08814	−	5.65095i	0.295742	−	0.328455i
$297$	−3.60531	+	34.3023i	−0.209201	+	1.99042i
$298$	−8.52523	+	6.19394i	−0.493853	+	0.358805i
$299$	0.923338	−	0.791041i	0.0533980	−	0.0457471i
$300$	−3.46975	+	2.52092i	−0.200326	+	0.145546i
$301$	6.15043	−	6.83074i	0.354505	−	0.393718i
$302$	−13.1272	+	14.5792i	−0.755385	+	0.838940i
$303$	−32.2359	−	35.8016i	−1.85191	−	2.05675i
$304$	−9.11384			−0.522715
$305$	6.21744	−	10.7689i	0.356010	−	0.616627i
$306$	39.3464	+	43.6986i	2.24928	+	2.49808i
$307$	18.8677	+	13.7082i	1.07683	+	0.782366i	0.977128	−	0.212651i	$-0.0682098\pi$
$307$	18.8677	+	13.7082i	1.07683	+	0.782366i	0.0997060	+	0.995017i	$0.468210\pi$
$308$	0.114005	+	1.08468i	0.00649601	+	0.0618054i
$309$	0.0703546	+	0.121858i	0.00400234	+	0.00693225i
$310$	−2.21109	−	8.32809i	−0.125581	−	0.473003i
$311$	−13.0129			−0.737894			−0.368947	−	0.929450i	$-0.620282\pi$
$311$	−13.0129			−0.737894			−0.368947	+	0.929450i	$0.620282\pi$
$312$	36.6525	−	2.94080i	2.07504	−	0.166490i
$313$	3.86121	+	2.80533i	0.218249	+	0.158567i	0.691538	−	0.722340i	$-0.256933\pi$
$313$	3.86121	+	2.80533i	0.218249	+	0.158567i	−0.473289	+	0.880907i	$0.656933\pi$
$314$	−23.7141	+	5.04058i	−1.33826	+	0.284456i
$315$	8.11919	+	14.0629i	0.457465	+	0.792352i
$316$	0.442069	−	0.765687i	0.0248683	−	0.0430732i
$317$	−1.45893	+	4.49013i	−0.0819418	+	0.252191i	−0.983631	−	0.180193i	$-0.942328\pi$
$317$	−1.45893	+	4.49013i	−0.0819418	+	0.252191i	0.901689	+	0.432384i	$0.142328\pi$
$318$	46.0999	+	9.79883i	2.58515	+	0.549491i
$319$	−6.49898	−	1.38140i	−0.363873	−	0.0773436i
$320$	8.67318	−	6.30143i	0.484846	−	0.352261i
$321$	−35.7774	−	39.7348i	−1.99690	−	2.21778i
$322$	0.632310	+	0.281523i	0.0352373	+	0.0156886i
$323$	1.65304	−	15.7276i	0.0919777	−	0.875110i
$324$	−4.01650	−	12.3615i	−0.223139	−	0.686751i
$325$	12.6590	+	1.64697i	0.702194	+	0.0913577i
$326$	10.9678	+	7.96859i	0.607452	+	0.441339i
$327$	38.2030	−	42.4287i	2.11263	−	2.34631i
$328$	1.43289	−	13.6330i	0.0791179	−	0.752757i
$329$	−1.23173	−	11.7191i	−0.0679073	−	0.646095i
$330$	3.06070	−	9.41987i	0.168486	−	0.518547i
$331$	0.754780	+	7.18125i	0.0414864	+	0.394717i	0.995486	+	0.0949089i	$0.0302560\pi$
$331$	0.754780	+	7.18125i	0.0414864	+	0.394717i	−0.954000	+	0.299808i	$0.903077\pi$
$332$	−1.29532	−	0.275329i	−0.0710901	−	0.0151107i
$333$	6.52337	+	20.0769i	0.357479	+	1.10021i
$334$	13.6988	+	15.2141i	0.749565	+	0.832476i
$335$	−0.582026	−	1.00810i	−0.0317995	−	0.0550783i
$336$	8.52527	+	14.7662i	0.465091	+	0.805562i
$337$	−6.69492	+	20.6048i	−0.364695	+	1.12242i	0.585476	+	0.810690i	$0.300908\pi$
$337$	−6.69492	+	20.6048i	−0.364695	+	1.12242i	−0.950172	+	0.311727i	$0.899092\pi$
$338$	−12.9741	−	10.4409i	−0.705696	−	0.567911i
$339$	7.28877	−	5.29560i	0.395872	−	0.287618i
$340$	1.18631	+	2.05474i	0.0643364	+	0.111434i
$341$	8.19055	+	6.66367i	0.443543	+	0.360858i
$342$	15.5307	−	26.9000i	0.839806	−	1.45459i
$343$	14.8197	−	10.7671i	0.800189	−	0.581371i
$344$	15.8371	−	7.05113i	0.853879	−	0.380171i
$345$	0.919942	+	1.02170i	0.0495280	+	0.0550064i
$346$	21.3414			1.14732
$347$	−4.06040	+	7.03283i	−0.217974	+	0.377542i	−0.954188	−	0.299206i	$-0.903278\pi$
$347$	−4.06040	+	7.03283i	−0.217974	+	0.377542i	0.736215	+	0.676748i	$0.236611\pi$
$348$	4.15124	−	0.882374i	0.222530	−	0.0473002i
$349$	−21.0496	+	23.3780i	−1.12676	+	1.25139i	−0.162422	+	0.986721i	$0.551931\pi$
$349$	−21.0496	+	23.3780i	−1.12676	+	1.25139i	−0.964338	+	0.264673i	$0.914736\pi$
$350$	2.24566	+	6.91144i	0.120036	+	0.369432i
$351$	−28.1409	+	59.2307i	−1.50205	+	3.16150i
$352$	−1.17459	+	3.61500i	−0.0626056	+	0.192680i
$353$	2.24748	+	1.00064i	0.119621	+	0.0532588i	0.465675	−	0.884956i	$-0.345812\pi$
$353$	2.24748	+	1.00064i	0.119621	+	0.0532588i	−0.346053	+	0.938215i	$0.612478\pi$
$354$	−2.79329	+	26.5764i	−0.148462	+	1.41252i
$355$	−1.92676	−	0.409546i	−0.102262	−	0.0217365i
$356$	−2.45699	−	1.78511i	−0.130220	−	0.0946107i
$357$	−27.0281	+	12.0337i	−1.43048	+	0.636891i
$358$	7.99511	+	1.69941i	0.422555	+	0.0898168i
$359$	−5.04353	−	3.66434i	−0.266188	−	0.193397i	0.446683	−	0.894692i	$-0.352605\pi$
$359$	−5.04353	−	3.66434i	−0.266188	−	0.193397i	−0.712870	+	0.701296i	$0.752605\pi$
$360$	3.20131	+	30.4584i	0.168724	+	1.60530i
$361$	10.4137	−	2.21349i	0.548088	−	0.116500i
$362$	−13.7867	−	6.13823i	−0.724612	−	0.322618i
$363$	−7.72093	−	23.7626i	−0.405244	−	1.24721i
$364$	−0.480998	+	2.01703i	−0.0252112	+	0.105721i
$365$	6.34812	−	19.5375i	0.332276	−	1.02264i
$366$	22.2499	+	38.5379i	1.16302	+	2.01441i
$367$	−14.3858	−	24.9169i	−0.750931	−	1.30065i	−0.947372	−	0.320136i	$-0.896271\pi$
$367$	−14.3858	−	24.9169i	−0.750931	−	1.30065i	0.196440	−	0.980516i	$-0.437062\pi$
$368$	0.711513	+	0.790215i	0.0370902	+	0.0411928i
$369$	30.7877	+	22.3685i	1.60274	+	1.16446i
$370$	−0.407060	−	3.87292i	−0.0211621	−	0.201344i
$371$	−8.73343	+	15.1267i	−0.453417	+	0.785342i
$372$	−6.51068	−	1.76051i	−0.337563	−	0.0912782i
$373$	16.7928	−	29.0859i	0.869496	−	1.50601i	0.00698339	−	0.999976i	$-0.497777\pi$
$373$	16.7928	−	29.0859i	0.869496	−	1.50601i	0.862513	−	0.506036i	$-0.168890\pi$
$374$	12.1434	+	5.40658i	0.627919	+	0.279568i
$375$	−3.63966	+	34.6291i	−0.187951	+	1.78824i
$376$	6.86772	−	21.1367i	0.354176	−	1.09004i
$377$	−10.7807	−	6.58385i	−0.555234	−	0.339085i
$378$	−37.3304			−1.92007
$379$	−35.4030	+	7.52514i	−1.81853	+	0.386541i	−0.985907	−	0.167297i	$-0.946496\pi$
$379$	−35.4030	+	7.52514i	−1.81853	+	0.386541i	−0.832625	+	0.553838i	$0.813163\pi$
$380$	0.838621	−	0.931383i	0.0430203	−	0.0477789i
$381$	7.95138	+	1.69012i	0.407361	+	0.0865873i
$382$	−24.7935	+	18.0135i	−1.26855	+	0.921652i
$383$	−11.4968	−	12.7685i	−0.587460	−	0.652441i	0.373986	−	0.927434i	$-0.377991\pi$
$383$	−11.4968	−	12.7685i	−0.587460	−	0.652441i	−0.961446	+	0.274994i	$0.911324\pi$
$384$	2.59616	+	24.7008i	0.132485	+	1.26051i
$385$	2.96972	+	2.15763i	0.151351	+	0.109963i
$386$	5.89151	+	1.25228i	0.299870	+	0.0637394i
$387$	−5.03062	+	47.8632i	−0.255721	+	2.43302i
$388$	−0.220684	+	2.09967i	−0.0112035	+	0.106595i
$389$	−2.17105	−	6.68179i	−0.110076	−	0.338780i	0.880812	−	0.473466i	$-0.156997\pi$
$389$	−2.17105	−	6.68179i	−0.110076	−	0.338780i	−0.990888	+	0.134686i	$0.956997\pi$
$390$	11.4408	−	14.9571i	0.579329	−	0.757382i
$391$	−1.49272	+	1.08452i	−0.0754900	+	0.0548467i
$392$	13.1028	−	2.78508i	0.661790	−	0.140668i
$393$	−42.1946	−	18.7862i	−2.12844	−	0.947640i
$394$	−3.15474	−	0.670560i	−0.158933	−	0.0337823i
$395$	−0.919546	−	2.83007i	−0.0462674	−	0.142396i
$396$	−3.82112	−	4.24379i	−0.192019	−	0.213258i
$397$	−10.2416	+	17.7389i	−0.514010	+	0.890292i	0.485858	+	0.874038i	$0.338507\pi$
$397$	−10.2416	+	17.7389i	−0.514010	+	0.890292i	−0.999868	+	0.0162539i	$0.994826\pi$
$398$	4.33225			0.217156
$399$	10.4574	+	11.6142i	0.523527	+	0.581435i
$400$	−1.16699	+	11.1032i	−0.0583497	+	0.555161i
$401$	−10.9717	−	4.88491i	−0.547900	−	0.243941i	0.114068	−	0.993473i	$-0.463612\pi$
$401$	−10.9717	−	4.88491i	−0.547900	−	0.243941i	−0.661968	+	0.749532i	$0.730278\pi$
$402$	4.16570			0.207766
$403$	10.4760	+	17.1247i	0.521846	+	0.853040i
$404$	5.12395			0.254926
$405$	−39.9638	−	17.7930i	−1.98581	−	0.884142i
$406$	0.751674	−	7.15170i	0.0373050	−	0.354933i
$407$	3.19313	+	3.54633i	0.158277	+	0.175785i
$408$	−55.8003			−2.76253
$409$	−5.48578	+	9.50164i	−0.271254	+	0.469826i	−0.969183	−	0.246341i	$-0.920772\pi$
$409$	−5.48578	+	9.50164i	−0.271254	+	0.469826i	0.697929	+	0.716167i	$0.254105\pi$
$410$	−4.69747	−	5.21707i	−0.231992	−	0.257653i
$411$	−15.5479	−	47.8515i	−0.766921	−	2.36034i
$412$	−0.0146387	−	0.00311155i	−0.000721198	−	0.000153295i
$413$	−9.04757	−	4.02824i	−0.445202	−	0.198217i
$414$	−3.54484	+	0.753480i	−0.174220	+	0.0370315i
$415$	−3.60580	+	2.61977i	−0.177002	+	0.128599i
$416$	−4.39057	+	5.73998i	−0.215265	+	0.281426i
$417$	−6.47691	−	19.9339i	−0.317175	−	0.976166i
$418$	0.733960	−	6.98316i	0.0358991	−	0.341558i
$419$	−0.105064	+	0.999615i	−0.00513270	+	0.0488344i	−0.996788	−	0.0800798i	$-0.974482\pi$
$419$	−0.105064	+	0.999615i	−0.00513270	+	0.0488344i	0.991656	+	0.128914i	$0.0411492\pi$
$420$	−2.29348	−	0.487495i	−0.111911	−	0.0237873i
$421$	14.1266	+	10.2636i	0.688488	+	0.500216i	0.876163	−	0.482015i	$-0.160095\pi$
$421$	14.1266	+	10.2636i	0.688488	+	0.500216i	−0.187674	+	0.982231i	$0.560095\pi$
$422$	−1.98760	−	18.9108i	−0.0967550	−	0.920563i
$423$	41.2841	+	45.8507i	2.00730	+	2.22934i
$424$	−26.6516	+	19.3635i	−1.29432	+	0.940375i
$425$	−18.9490	−	4.02774i	−0.919162	−	0.195374i
$426$	4.71683	−	5.23857i	0.228531	−	0.253810i
$427$	−16.1317	+	3.42891i	−0.780670	+	0.165937i
$428$	5.68688			0.274886
$429$	−0.568916	+	23.0687i	−0.0274675	+	1.11377i
$430$	2.74349	−	8.44360i	0.132303	−	0.407187i
$431$	3.55311	−	33.8055i	0.171147	−	1.62836i	−0.485555	−	0.874206i	$-0.661383\pi$
$431$	3.55311	−	33.8055i	0.171147	−	1.62836i	0.656702	−	0.754150i	$-0.271951\pi$
$432$	−52.3919	−	23.3264i	−2.52071	−	1.12229i
$433$	−0.580908	+	1.00616i	−0.0279167	+	0.0483531i	−0.879646	−	0.475629i	$-0.842221\pi$
$433$	−0.580908	+	1.00616i	−0.0279167	+	0.0483531i	0.851730	+	0.523982i	$0.175554\pi$
$434$	−6.24607	+	9.57009i	−0.299821	+	0.459379i
$435$	7.14191	−	12.3702i	0.342428	−	0.593104i
$436$	0.634741	+	6.03916i	0.0303986	+	0.289223i
$437$	0.788508	+	0.572884i	0.0377194	+	0.0274048i
$438$	49.1914	+	54.6326i	2.35046	+	2.61045i
$439$	15.9220	+	27.5777i	0.759915	+	1.31621i	0.942893	+	0.333095i	$0.108093\pi$
$439$	15.9220	+	27.5777i	0.759915	+	1.31621i	−0.182978	+	0.983117i	$0.558574\pi$
$440$	3.46162	+	5.99570i	0.165026	+	0.285834i
$441$	−11.4917	+	35.3677i	−0.547222	+	1.68418i
$442$	18.3583	+	17.3683i	0.873217	+	0.826128i
$443$	6.61626	+	20.3627i	0.314348	+	0.967463i	0.976022	+	0.217672i	$0.0698462\pi$
$443$	6.61626	+	20.3627i	0.314348	+	0.967463i	−0.661674	+	0.749792i	$0.730154\pi$
$444$	−2.78463	−	1.23980i	−0.132153	−	0.0588383i
$445$	−9.99820	+	2.12518i	−0.473960	+	0.100743i
$446$	1.42195	+	13.5290i	0.0673313	+	0.640615i
$447$	22.4590	+	16.3174i	1.06227	+	0.771788i
$448$	−13.9079	−	2.95621i	−0.657085	−	0.139668i
$449$	−30.8196	+	13.7218i	−1.45447	+	0.647570i	−0.973400	−	0.229113i	$-0.926417\pi$
$449$	−30.8196	+	13.7218i	−1.45447	+	0.647570i	−0.481067	+	0.876684i	$0.659751\pi$
$450$	−30.7831	−	22.3652i	−1.45113	−	1.05431i
$451$	8.41471	+	1.78860i	0.396233	+	0.0842219i
$452$	−0.100163	+	0.952987i	−0.00471127	+	0.0448247i
$453$	47.2145	+	21.0213i	2.21833	+	0.987665i
$454$	9.52495	−	29.3148i	0.447028	−	1.37581i
$455$	3.96171	+	5.74555i	0.185728	+	0.269356i
$456$	9.10851	+	28.0331i	0.426545	+	1.31277i
$457$	12.1113	−	13.4510i	0.566543	−	0.629209i	−0.389996	−	0.920817i	$-0.627523\pi$
$457$	12.1113	−	13.4510i	0.566543	−	0.629209i	0.956538	+	0.291608i	$0.0941901\pi$
$458$	24.3456	−	5.17481i	1.13759	−	0.241803i
$459$	49.7568	−	86.1813i	2.32245	−	4.02260i
$460$	−0.146226			−0.00681783
$461$	18.0048	+	19.9964i	0.838568	+	0.931324i	0.998441	−	0.0558137i	$-0.0177753\pi$
$461$	18.0048	+	19.9964i	0.838568	+	0.931324i	−0.159873	+	0.987138i	$0.551109\pi$
$462$	−12.0006	+	5.34303i	−0.558320	+	0.248580i
$463$	20.9526	−	15.2230i	0.973751	−	0.707471i	0.0174473	−	0.999848i	$-0.494446\pi$
$463$	20.9526	−	15.2230i	0.973751	−	0.707471i	0.956303	+	0.292377i	$0.0944461\pi$
$464$	5.52379	−	9.56748i	0.256435	−	0.444159i
$465$	−19.0658	+	12.3196i	−0.884158	+	0.571306i
$466$	−17.0187	−	29.4773i	−0.788377	−	1.36551i
$467$	−9.12090	+	6.62672i	−0.422065	+	0.306648i	−0.778468	−	0.627684i	$-0.784003\pi$
$467$	−9.12090	+	6.62672i	−0.422065	+	0.306648i	0.356403	+	0.934332i	$0.384003\pi$
$468$	−4.17012	−	10.0243i	−0.192764	−	0.463375i
$469$	−0.477078	+	1.46830i	−0.0220294	+	0.0677996i
$470$	−5.69085	−	9.85683i	−0.262499	−	0.454662i
$471$	31.9342	+	55.3117i	1.47145	+	2.54863i
$472$	−12.4987	−	13.8812i	−0.575297	−	0.638932i
$473$	3.36190	+	10.3469i	0.154580	+	0.475750i
$474$	10.4162	+	2.21404i	0.478434	+	0.101694i
$475$	1.06966	+	10.1771i	0.0490793	+	0.466958i
$476$	0.972398	−	2.99273i	0.0445698	−	0.137172i
$477$	−9.55965	−	90.9540i	−0.437706	−	4.16450i
$478$	1.46865	−	13.9733i	0.0671744	−	0.639122i
$479$	16.6730	−	18.5173i	0.761811	−	0.846076i	−0.230080	−	0.973172i	$-0.573899\pi$
$479$	16.6730	−	18.5173i	0.761811	−	0.846076i	0.991890	+	0.127095i	$0.0405654\pi$
$480$	−6.61094	−	4.80313i	−0.301747	−	0.219232i
$481$	3.48477	+	8.37686i	0.158892	+	0.381952i
$482$	6.73763	+	20.7363i	0.306891	+	0.944513i
$483$	0.190598	−	1.81342i	0.00867253	−	0.0825136i
$484$	2.42769	+	1.08088i	0.110350	+	0.0491308i
$485$	4.75465	+	5.28057i	0.215898	+	0.239779i
$486$	70.1038	−	50.9334i	3.17997	−	2.31039i
$487$	−10.3818	−	2.20673i	−0.470447	−	0.0999965i	−0.0334128	−	0.999442i	$-0.510638\pi$
$487$	−10.3818	−	2.20673i	−0.470447	−	0.0999965i	−0.437034	+	0.899445i	$0.643971\pi$
$488$	−30.4251	−	6.46706i	−1.37728	−	0.292750i
$489$	11.0365	−	33.9667i	0.499086	−	1.53603i
$490$	3.43009	−	5.94109i	0.154956	−	0.268391i
$491$	−13.2007	−	22.8643i	−0.595740	−	1.03185i	−0.993442	−	0.114338i	$-0.963525\pi$
$491$	−13.2007	−	22.8643i	−0.595740	−	1.03185i	0.397702	−	0.917515i	$-0.369808\pi$
$492$	−5.37492	+	1.14247i	−0.242320	+	0.0515067i
$493$	15.5086	+	11.2677i	0.698472	+	0.507470i
$494$	5.72885	−	12.0580i	0.257753	−	0.542516i
$495$	−19.2199			−0.863870
$496$	−14.7462	+	9.52836i	−0.662122	+	0.427836i
$497$	1.30626	+	2.26251i	0.0585937	+	0.101487i
$498$	−1.66723	−	15.8626i	−0.0747102	−	0.710820i
$499$	−21.1654	−	15.3776i	−0.947493	−	0.688394i	0.00271979	−	0.999996i	$-0.499134\pi$
$499$	−21.1654	−	15.3776i	−0.947493	−	0.688394i	−0.950213	+	0.311603i	$0.899134\pi$
$500$	−2.47807	−	2.75217i	−0.110823	−	0.123081i
$501$	26.9666	−	46.7075i	1.20478	−	2.08674i
$502$	4.80531			0.214471
$503$	17.6197	+	19.5687i	0.785624	+	0.872524i	0.994426	−	0.105434i	$-0.0336231\pi$
$503$	17.6197	+	19.5687i	0.785624	+	0.872524i	−0.208802	+	0.977958i	$0.566956\pi$
$504$	27.1794	−	30.1858i	1.21067	−	1.34458i
$505$	11.5395	−	12.8159i	0.513501	−	0.570300i
$506$	−0.662775	+	0.481534i	−0.0294639	+	0.0214068i
$507$	−15.5976	+	41.0060i	−0.692713	+	1.82114i
$508$	−0.699474	+	0.508197i	−0.0310341	+	0.0225476i
$509$	−2.03204	+	19.3336i	−0.0900686	+	0.856945i	0.852454	+	0.522802i	$0.175113\pi$
$509$	−2.03204	+	19.3336i	−0.0900686	+	0.856945i	−0.942522	+	0.334143i	$0.891553\pi$
$510$	−19.1216	+	21.2367i	−0.846718	+	0.940375i
$511$	−24.8902	+	11.0818i	−1.10108	+	0.490231i
$512$	−20.5312	−	14.9168i	−0.907358	−	0.659234i
$513$	−51.4180	−	10.9292i	−2.27016	−	0.482537i
$514$	−4.86989	+	2.16821i	−0.214801	+	0.0956358i
$515$	−0.0407499	+	0.0296066i	−0.00179566	+	0.00130462i
$516$	−4.64993	−	5.16427i	−0.204702	−	0.227344i
$517$	12.7414	+	5.67285i	0.560367	+	0.249492i
$518$	−3.45597	+	3.83825i	−0.151847	+	0.168643i
$519$	−17.3736	−	53.4704i	−0.762615	−	2.34709i
$520$	2.41842	+	12.9386i	0.106055	+	0.567395i
$521$	−42.5510			−1.86419			−0.932096	−	0.362212i	$-0.882022\pi$
$521$	−42.5510			−1.86419			−0.932096	+	0.362212i	$0.882022\pi$
$522$	18.8260	+	32.6075i	0.823991	+	1.42719i
$523$	−8.33799	+	1.77229i	−0.364595	+	0.0774970i	−0.386566	−	0.922262i	$-0.626339\pi$
$523$	−8.33799	+	1.77229i	−0.364595	+	0.0774970i	0.0219716	+	0.999759i	$0.493006\pi$
$524$	4.48779	−	1.99809i	0.196050	−	0.0872871i
$525$	15.4883	−	11.2529i	0.675966	−	0.491118i
$526$	−12.3072	+	21.3168i	−0.536621	+	0.929455i
$527$	−13.7684	−	27.1755i	−0.599759	−	1.18378i
$528$	−20.1812			−0.878272
$529$	2.39227	+	22.7609i	0.104012	+	0.989605i
$530$	−1.76350	+	16.7786i	−0.0766017	+	0.728817i
$531$	50.7223	−	10.7814i	2.20116	−	0.467871i
$532$	−1.66223			−0.0720666
$533$	13.9585	+	8.52459i	0.604612	+	0.369241i
$534$	11.3036	−	34.7888i	0.489153	−	1.50546i
$535$	12.8072	−	14.2239i	0.553705	−	0.614952i
$536$	−1.94836	+	2.16387i	−0.0841563	+	0.0934650i
$537$	−2.25081	−	21.4151i	−0.0971298	−	0.924128i
$538$	1.98316	−	6.10353i	0.0855000	−	0.263142i
$539$	0.878721	+	8.36047i	0.0378492	+	0.360111i
$540$	7.20473	−	3.20775i	0.310042	−	0.138040i
$541$	8.24897	+	25.3877i	0.354651	+	1.09150i	0.956212	+	0.292676i	$0.0945457\pi$
$541$	8.24897	+	25.3877i	0.354651	+	1.09150i	−0.601561	+	0.798827i	$0.705454\pi$
$542$	−17.9825	+	8.00634i	−0.772416	+	0.343902i
$543$	−4.15575	+	39.5393i	−0.178340	+	1.69679i
$544$	7.33816	−	8.14985i	0.314621	−	0.349422i
$545$	16.5345	+	12.0130i	0.708260	+	0.514581i
$546$	−24.8952	+	1.99745i	−1.06542	+	0.0854831i
$547$	−8.34539	+	25.6845i	−0.356823	+	1.09819i	0.598122	+	0.801405i	$0.295914\pi$
$547$	−8.34539	+	25.6845i	−0.356823	+	1.09819i	−0.954945	+	0.296783i	$0.904086\pi$
$548$	4.88872	+	2.17660i	0.208836	+	0.0929797i
$549$	57.7804	−	64.1716i	2.46601	−	2.73878i
$550$	−8.41347	−	1.78834i	−0.358751	−	0.0762550i
$551$	3.12914	−	9.63052i	0.133306	−	0.410274i
$552$	1.71951	−	2.97828i	0.0731873	−	0.126764i
$553$	−1.97332	+	3.41788i	−0.0839139	+	0.145343i
$554$	−0.315219	+	0.970143i	−0.0133924	+	0.0412174i
$555$	−9.37214	+	4.17275i	−0.397825	+	0.177123i
$556$	2.03653	+	0.906722i	0.0863682	+	0.0384536i
$557$	−12.8315	−	22.2248i	−0.543688	−	0.941695i	−0.998688	−	0.0512040i	$-0.983694\pi$
$557$	−12.8315	−	22.2248i	−0.543688	−	0.941695i	0.455000	−	0.890491i	$-0.349639\pi$
$558$	−2.99483	−	59.7612i	−0.126781	−	2.52989i
$559$	−0.509954	+	20.6779i	−0.0215687	+	0.874580i
$560$	−4.93790	+	3.58759i	−0.208664	+	0.151603i
$561$	3.66040	−	34.8264i	0.154542	−	1.47037i
$562$	−24.3821	+	5.18257i	−1.02850	+	0.218613i
$563$	1.87687	−	3.25083i	0.0791005	−	0.137006i	−0.823762	−	0.566936i	$-0.808129\pi$
$563$	1.87687	−	3.25083i	0.0791005	−	0.137006i	0.902862	+	0.429930i	$0.141462\pi$
$564$	−8.90883			−0.375129
$565$	2.15801	+	2.39672i	0.0907883	+	0.100831i
$566$	−27.3968	−	5.82338i	−1.15157	−	0.244775i
$567$	17.9289	+	55.1795i	0.752943	+	2.31732i
$568$	0.515044	+	4.90032i	0.0216108	+	0.205613i
$569$	20.9915	−	4.46189i	0.880010	−	0.187052i	0.254317	−	0.967121i	$-0.418149\pi$
$569$	20.9915	−	4.46189i	0.880010	−	0.187052i	0.625694	+	0.780069i	$0.284816\pi$
$570$	13.7902	+	6.13980i	0.577609	+	0.257168i
$571$	−10.9686	−	7.96917i	−0.459022	−	0.333499i	0.334125	−	0.942529i	$-0.391559\pi$
$571$	−10.9686	−	7.96917i	−0.459022	−	0.333499i	−0.793148	+	0.609029i	$0.791559\pi$
$572$	−1.78287	−	1.68673i	−0.0745455	−	0.0705256i
$573$	65.3164	+	47.4552i	2.72863	+	1.98247i
$574$	−0.973247	+	9.25983i	−0.0406226	+	0.386498i
$575$	0.798899	−	0.887268i	0.0333164	−	0.0370016i
$576$	68.0109	−	30.2804i	2.83379	−	1.26168i
$577$	13.0664	−	9.49328i	0.543960	−	0.395210i	−0.281593	−	0.959534i	$-0.590863\pi$
$577$	13.0664	−	9.49328i	0.543960	−	0.395210i	0.825554	+	0.564324i	$0.190863\pi$
$578$	−11.0901	−	12.3168i	−0.461288	−	0.512312i
$579$	−1.65860	−	15.7805i	−0.0689291	−	0.655816i
$580$	0.469464	+	1.44486i	0.0194934	+	0.0599947i
$581$	5.78208	+	1.22902i	0.239881	+	0.0509883i
$582$	−24.8730	+	5.28691i	−1.03102	+	0.219150i
$583$	−10.3370	−	17.9041i	−0.428113	−	0.741514i
$584$	−51.3864			−2.12639
$585$	−34.4640	−	12.1453i	−1.42491	−	0.502147i
$586$	5.63944	+	4.09729i	0.232963	+	0.169258i
$587$	8.44499	+	3.75995i	0.348562	+	0.155190i	0.573548	−	0.819172i	$-0.305567\pi$
$587$	8.44499	+	3.75995i	0.348562	+	0.155190i	−0.224985	+	0.974362i	$0.572233\pi$
$588$	−2.68484	−	4.65028i	−0.110721	−	0.191775i
$589$	−11.4050	+	11.3529i	−0.469936	+	0.467790i
$590$	−9.56596			−0.393825
$591$	0.888132	+	8.45002i	0.0365329	+	0.347587i
$592$	−7.24872	+	3.22734i	−0.297921	+	0.132643i
$593$	−3.19866	+	9.84445i	−0.131353	+	0.404263i	−0.995005	−	0.0998256i	$-0.968172\pi$
$593$	−3.19866	+	9.84445i	−0.131353	+	0.404263i	0.863652	+	0.504089i	$0.168172\pi$
$594$	22.0923	−	38.2649i	0.906457	−	1.57003i
$595$	−5.29544	−	9.17198i	−0.217092	−	0.376014i
$596$	−2.88811	+	0.613886i	−0.118301	+	0.0251457i
$597$	−3.52680	−	10.8544i	−0.144342	−	0.444240i
$598$	−1.49274	+	0.444644i	−0.0610426	+	0.0181828i
$599$	−29.0581	+	21.1120i	−1.18728	+	0.862611i	−0.992974	−	0.118329i	$-0.962246\pi$
$599$	−29.0581	+	21.1120i	−1.18728	+	0.862611i	−0.194308	+	0.980941i	$0.562246\pi$
$600$	35.3185	−	7.50718i	1.44187	−	0.306479i
$601$	34.6051	+	15.4072i	1.41157	+	0.628473i	0.964031	−	0.265791i	$-0.0856330\pi$
$601$	34.6051	+	15.4072i	1.41157	+	0.628473i	0.447542	+	0.894263i	$0.352300\pi$
$602$	−10.7569	+	4.78928i	−0.438418	+	0.195196i
$603$	−2.49794	−	7.68787i	−0.101724	−	0.313074i
$604$	−5.02171	+	2.23581i	−0.204330	+	0.0909737i
$605$	8.17079	−	3.63787i	0.332190	−	0.147900i
$606$	19.0710	+	58.6945i	0.774707	+	2.38430i
$607$	−11.1261	+	4.95365i	−0.451593	+	0.201062i	−0.619914	−	0.784670i	$-0.712832\pi$
$607$	−11.1261	+	4.95365i	−0.451593	+	0.201062i	0.168320	+	0.985732i	$0.446166\pi$
$608$	−5.29218	−	2.35623i	−0.214626	−	0.0955578i
$609$	−18.5304	+	3.93875i	−0.750888	+	0.159606i
$610$	−12.8873	+	9.36316i	−0.521791	+	0.379103i
$611$	19.2625	+	18.2237i	0.779276	+	0.737253i
$612$	5.09139	+	15.6697i	0.205807	+	0.633410i
$613$	−4.41373	+	0.938168i	−0.178269	+	0.0378922i	−0.296181	−	0.955132i	$-0.595713\pi$
$613$	−4.41373	+	0.938168i	−0.178269	+	0.0378922i	0.117912	+	0.993024i	$0.462380\pi$
$614$	−14.9380	−	25.8734i	−0.602849	−	1.04416i
$615$	−9.24715	+	16.0165i	−0.372881	+	0.645849i
$616$	2.83744	−	8.73274i	0.114324	−	0.351852i
$617$	−25.6795	+	11.4332i	−1.03382	+	0.460285i	−0.852272	−	0.523098i	$-0.824776\pi$
$617$	−25.6795	+	11.4332i	−1.03382	+	0.460285i	−0.181544	+	0.983383i	$0.558109\pi$
$618$	−0.0188417	−	0.179267i	−0.000757923	−	0.00721116i
$619$	18.3597			0.737938			0.368969	−	0.929442i	$-0.379711\pi$
$619$	18.3597			0.737938			0.368969	+	0.929442i	$0.379711\pi$
$620$	0.383140	−	2.38374i	0.0153873	−	0.0957331i
$621$	3.06656	+	5.31143i	0.123057	+	0.213141i
$622$	15.2288	+	6.78031i	0.610620	+	0.271866i
$623$	10.9676	+	7.96840i	0.439406	+	0.319247i
$624$	−36.1877	−	12.7527i	−1.44867	−	0.510519i
$625$	5.23835			0.209534
$626$	−3.05702	−	5.29491i	−0.122183	−	0.211627i
$627$	−18.0937	+	3.84593i	−0.722592	+	0.153592i
$628$	−6.64456	−	1.41235i	−0.265147	−	0.0563587i
$629$	−4.25463	−	13.0944i	−0.169643	−	0.522108i
$630$	−2.17440	−	20.6880i	−0.0866302	−	0.824231i
$631$	8.88123	+	9.86360i	0.353556	+	0.392664i	0.893519	−	0.449025i	$-0.148229\pi$
$631$	8.88123	+	9.86360i	0.353556	+	0.392664i	−0.539963	+	0.841689i	$0.681562\pi$
$632$	−6.02192	+	4.37518i	−0.239539	+	0.174035i
$633$	−45.7625	+	20.3748i	−1.81890	+	0.809825i
$634$	4.04693	−	4.49457i	0.160724	−	0.178502i
$635$	−0.304172	+	2.89400i	−0.0120707	+	0.114845i
$636$	10.6835	+	7.76201i	0.423628	+	0.307784i
$637$	−3.70742	+	15.5468i	−0.146893	+	0.615987i
$638$	6.88590	+	5.00290i	0.272615	+	0.198067i
$639$	−12.4963	−	5.56372i	−0.494346	−	0.220097i
$640$	−8.69655	+	1.84851i	−0.343761	+	0.0730687i
$641$	0.874508	+	8.32039i	0.0345410	+	0.328636i	0.998124	+	0.0612260i	$0.0195010\pi$
$641$	0.874508	+	8.32039i	0.0345410	+	0.328636i	−0.963583	+	0.267410i	$0.913832\pi$
$642$	21.1662	+	65.1428i	0.835363	+	2.57098i
$643$	10.0886	+	2.14439i	0.397855	+	0.0845667i	0.402494	−	0.915423i	$-0.368143\pi$
$643$	10.0886	+	2.14439i	0.397855	+	0.0845667i	−0.00463920	+	0.999989i	$0.501477\pi$
$644$	0.129769	+	0.144123i	0.00511362	+	0.00567925i
$645$	−23.3887			−0.920929
$646$	−10.1294	+	17.5446i	−0.398534	+	0.690281i
$647$	15.8813	−	3.37567i	0.624357	−	0.132711i	0.115140	−	0.993349i	$-0.463268\pi$
$647$	15.8813	−	3.37567i	0.624357	−	0.132711i	0.509217	+	0.860638i	$0.329935\pi$
$648$	−11.4382	+	108.827i	−0.449334	+	4.27512i
$649$	9.48347	−	6.89015i	0.372259	−	0.270462i
$650$	−13.9565	−	8.52333i	−0.547418	−	0.334313i
$651$	29.0625	+	7.85859i	1.13905	+	0.308002i
$652$	1.89930	+	3.28968i	0.0743823	+	0.128834i
$653$	13.9487	+	6.21038i	0.545857	+	0.243031i	0.661089	−	0.750308i	$-0.270095\pi$
$653$	13.9487	+	6.21038i	0.545857	+	0.243031i	−0.115232	+	0.993339i	$0.536761\pi$
$654$	−66.8158	+	29.7483i	−2.61270	+	1.16325i
$655$	5.10923	−	15.7246i	0.199634	−	0.614411i
$656$	−7.15205	+	12.3877i	−0.279241	+	0.483659i
$657$	71.3280	−	123.544i	2.78277	−	4.81990i
$658$	−4.66471	+	14.3565i	−0.181849	+	0.559674i
$659$	−17.4739	−	3.71419i	−0.680686	−	0.144684i	−0.145423	−	0.989370i	$-0.546454\pi$
$659$	−17.4739	−	3.71419i	−0.680686	−	0.144684i	−0.535263	+	0.844685i	$0.679788\pi$
$660$	1.85699	−	2.06240i	0.0722833	−	0.0802788i
$661$	33.2536	+	14.8055i	1.29342	+	0.575866i	0.933987	−	0.357307i	$-0.116305\pi$
$661$	33.2536	+	14.8055i	1.29342	+	0.575866i	0.359428	+	0.933173i	$0.382972\pi$
$662$	2.85845	−	8.79739i	0.111097	−	0.341920i
$663$	28.5709	−	60.1357i	1.10960	−	2.33548i
$664$	9.01961	+	6.55313i	0.350029	+	0.254311i
$665$	−3.74345	+	4.15752i	−0.145165	+	0.161222i
$666$	2.82674	−	26.8947i	0.109534	−	1.04215i
$667$	−1.07930	+	0.480537i	−0.0417908	+	0.0186065i
$668$	1.77261	+	5.45554i	0.0685845	+	0.211081i
$669$	32.7390	−	14.5763i	1.26576	−	0.563553i
$670$	0.155872	+	1.48303i	0.00602187	+	0.0572943i
$671$	6.03208	−	18.5648i	0.232866	−	0.716688i
$672$	1.13286	+	10.7784i	0.0437009	+	0.415787i
$673$	8.66095	−	9.61896i	0.333855	−	0.370784i	−0.552721	−	0.833366i	$-0.686410\pi$
$673$	8.66095	−	9.61896i	0.333855	−	0.370784i	0.886576	+	0.462583i	$0.153077\pi$
$674$	18.5710	−	20.6252i	0.715329	−	0.794454i
$675$	−19.8988	+	61.2421i	−0.765903	+	2.35721i
$676$	−2.13108	−	4.15117i	−0.0819645	−	0.159660i
$677$	−5.46373			−0.209988			−0.104994	−	0.994473i	$-0.533482\pi$
$677$	−5.46373			−0.209988			−0.104994	+	0.994473i	$0.533482\pi$
$678$	−11.2892	+	2.39959i	−0.433559	+	0.0921559i
$679$	0.985094	−	9.37254i	0.0378044	−	0.359685i
$680$	−2.08794	−	19.8654i	−0.0800688	−	0.761803i
$681$	−81.2017			−3.11165
$682$	−6.11322	−	12.0661i	−0.234087	−	0.462033i
$683$	−7.60502	+	13.1723i	−0.290998	+	0.504023i	−0.974046	−	0.226350i	$-0.927321\pi$
$683$	−7.60502	+	13.1723i	−0.290998	+	0.504023i	0.683048	+	0.730373i	$0.260654\pi$
$684$	7.04109	−	5.11565i	0.269223	−	0.195602i
$685$	16.4538	−	7.32570i	0.628667	−	0.279901i
$686$	−22.9535	+	4.87891i	−0.876367	+	0.186278i
$687$	−32.7846	−	56.7846i	−1.25081	−	2.16647i
$688$	−18.0896			−0.689659
$689$	−7.22179	−	38.6368i	−0.275128	−	1.47194i
$690$	−0.544245	−	1.67501i	−0.0207190	−	0.0637666i
$691$	−8.88283	+	9.86538i	−0.337919	+	0.375297i	−0.888023	−	0.459799i	$-0.847921\pi$
$691$	−8.88283	+	9.86538i	−0.337919	+	0.375297i	0.550104	+	0.835096i	$0.314588\pi$
$692$	5.46277	+	2.43218i	0.207663	+	0.0924577i
$693$	17.0568	+	18.9435i	0.647933	+	0.719603i
$694$	8.41626	−	6.11477i	0.319477	−	0.232113i
$695$	6.85428	−	3.05172i	0.259998	−	0.115758i
$696$	−34.9490	−	7.42864i	−1.32474	−	0.281582i
$697$	−20.0801	−	14.5891i	−0.760589	−	0.552600i
$698$	36.8151	−	16.3911i	1.39347	−	0.620413i
$699$	−60.0002	+	66.6369i	−2.26941	+	2.52044i
$700$	−0.212842	+	2.02506i	−0.00804467	+	0.0765399i
$701$	−12.2832	+	8.92426i	−0.463930	+	0.337065i	−0.795071	−	0.606517i	$-0.792566\pi$
$701$	−12.2832	+	8.92426i	−0.463930	+	0.337065i	0.331141	+	0.943581i	$0.392566\pi$
$702$	63.7948	−	54.6542i	2.40778	−	2.06279i
$703$	−5.88390	+	4.27490i	−0.221915	+	0.161231i
$704$	11.2609	−	12.5065i	0.424413	−	0.471358i
$705$	−20.0633	+	22.2825i	−0.755627	+	0.839209i
$706$	−2.10882	−	2.34208i	−0.0793663	−	0.0881452i
$707$	−22.8724			−0.860204
$708$	−3.74380	+	6.48445i	−0.140701	+	0.243701i
$709$	−6.05026	−	6.71949i	−0.227222	−	0.252356i	0.618744	−	0.785593i	$-0.287642\pi$
$709$	−6.05026	−	6.71949i	−0.227222	−	0.252356i	−0.845966	+	0.533237i	$0.820975\pi$
$710$	2.04147	+	1.48322i	0.0766152	+	0.0556642i
$711$	−2.16000	−	20.5510i	−0.0810063	−	0.770723i
$712$	12.7842	+	22.1429i	0.479108	+	0.829839i
$713$	1.87474	+	0.102554i	0.0702096	+	0.00384066i
$714$	37.9008			1.41840
$715$	−8.23395	+	0.660646i	−0.307932	+	0.0247068i
$716$	1.85284	+	1.34617i	0.0692439	+	0.0503087i
$717$	−36.2053	+	7.69567i	−1.35211	+	0.287400i
$718$	3.99309	+	6.91624i	0.149021	+	0.258112i
$719$	0.650593	−	1.12686i	0.0242630	−	0.0420248i	−0.853639	−	0.520865i	$-0.825609\pi$
$719$	0.650593	−	1.12686i	0.0242630	−	0.0420248i	0.877902	+	0.478840i	$0.158943\pi$
$720$	9.87550	−	30.3937i	0.368038	−	1.13271i
$721$	0.0653445	+	0.0138894i	0.00243356	+	0.000517268i
$722$	−13.3403	−	2.83557i	−0.496475	−	0.105529i
$723$	46.4694	−	33.7620i	1.72822	−	1.25562i
$724$	−2.82944	−	3.14242i	−0.105155	−	0.116787i
$725$	−11.3320	−	5.04533i	−0.420860	−	0.187379i
$726$	−3.34568	+	31.8320i	−0.124170	+	1.18140i
$727$	7.83173	+	24.1036i	0.290463	+	0.893952i	0.984708	+	0.174214i	$0.0557384\pi$
$727$	7.83173	+	24.1036i	0.290463	+	0.893952i	−0.694245	+	0.719739i	$0.744262\pi$
$728$	10.6063	−	13.8661i	0.393095	−	0.513910i
$729$	−96.7963	−	70.3266i	−3.58505	−	2.60469i
$730$	−17.6090	+	19.5568i	−0.651740	+	0.723830i
$731$	3.28104	−	31.2170i	0.121354	−	1.15460i
$732$	1.30332	+	12.4003i	0.0481722	+	0.458328i
$733$	6.33517	−	19.4977i	0.233995	−	0.720162i	−0.763258	−	0.646094i	$-0.776402\pi$
$733$	6.33517	−	19.4977i	0.233995	−	0.720162i	0.997253	−	0.0740687i	$-0.0235984\pi$
$734$	3.85265	+	36.6556i	0.142204	+	1.35298i
$735$	−17.6776	−	3.75750i	−0.652049	−	0.138597i
$736$	0.208861	+	0.642808i	0.00769872	+	0.0236942i
$737$	−1.22272	−	1.35797i	−0.0450394	−	0.0500213i
$738$	−24.3754	−	42.2194i	−0.897270	−	1.55412i
$739$	4.72521	+	8.18430i	0.173820	+	0.301064i	0.939752	−	0.341857i	$-0.111056\pi$
$739$	4.72521	+	8.18430i	0.173820	+	0.301064i	−0.765933	+	0.642921i	$0.777722\pi$
$740$	0.337184	−	1.03775i	0.0123951	−	0.0381483i
$741$	−34.8749	−	4.53733i	−1.28116	−	0.166683i
$742$	18.1023	−	13.1521i	0.664558	−	0.482830i
$743$	−5.27684	−	9.13976i	−0.193589	−	0.335305i	0.752848	−	0.658194i	$-0.228679\pi$
$743$	−5.27684	−	9.13976i	−0.193589	−	0.335305i	−0.946437	+	0.322889i	$0.895346\pi$
$744$	44.0456	+	35.8346i	1.61479	+	1.31376i
$745$	−4.96878	+	8.60618i	−0.182042	+	0.315306i
$746$	−34.8074	+	25.2891i	−1.27439	+	0.925899i
$747$	−28.2750	+	12.5888i	−1.03453	+	0.460601i
$748$	2.49219	+	2.76785i	0.0911234	+	0.101203i
$749$	−25.3852			−0.927554
$750$	22.3028	−	38.6295i	0.814382	−	1.41055i
$751$	−12.2561	+	2.60510i	−0.447230	+	0.0950616i	−0.426021	−	0.904713i	$-0.640085\pi$
$751$	−12.2561	+	2.60510i	−0.447230	+	0.0950616i	−0.0212091	+	0.999775i	$0.506752\pi$
$752$	−15.5176	+	17.2341i	−0.565869	+	0.628461i
$753$	−3.91190	−	12.0396i	−0.142558	−	0.438747i
$754$	9.18602	+	13.3222i	0.334535	+	0.485167i
$755$	−5.71708	+	17.5954i	−0.208066	+	0.640361i
$756$	−9.55549	−	4.25438i	−0.347530	−	0.154730i
$757$	−0.0454910	+	0.432818i	−0.00165340	+	0.0157311i	−0.995317	−	0.0966597i	$-0.969184\pi$
$757$	−0.0454910	+	0.432818i	−0.00165340	+	0.0157311i	0.993664	+	0.112391i	$0.0358508\pi$
$758$	45.3526	+	9.64000i	1.64728	+	0.350141i
$759$	1.74602	+	1.26856i	0.0633767	+	0.0460459i
$760$	−9.63921	+	4.29165i	−0.349651	+	0.155675i
$761$	18.5629	+	3.94566i	0.672904	+	0.143030i	0.531677	−	0.846947i	$-0.321562\pi$
$761$	18.5629	+	3.94566i	0.672904	+	0.143030i	0.141227	+	0.989977i	$0.454895\pi$
$762$	−8.42476	−	6.12095i	−0.305197	−	0.221739i
$763$	−2.83337	−	26.9577i	−0.102575	−	0.975934i
$764$	−8.39933	+	1.78533i	−0.303877	+	0.0645911i
$765$	50.6588	+	22.5548i	1.83157	+	0.815469i
$766$	6.80161	+	20.9332i	0.245752	+	0.756347i
$767$	21.3592	−	6.36229i	0.771237	−	0.229729i
$768$	−8.67718	+	26.7056i	−0.313111	+	0.963656i
$769$	4.70519	+	8.14963i	0.169674	+	0.293883i	0.938305	−	0.345809i	$-0.112395\pi$
$769$	4.70519	+	8.14963i	0.169674	+	0.293883i	−0.768632	+	0.639692i	$0.779062\pi$
$770$	−2.35121	−	4.07241i	−0.0847316	−	0.146759i
$771$	9.39689	+	10.4363i	0.338421	+	0.375854i
$772$	1.36534	+	0.991977i	0.0491396	+	0.0357020i
$773$	−2.40446	−	22.8769i	−0.0864823	−	0.822824i	−0.948677	−	0.316247i	$-0.897577\pi$
$773$	−2.40446	−	22.8769i	−0.0864823	−	0.822824i	0.862195	−	0.506577i	$-0.169089\pi$
$774$	30.8261	−	53.3924i	1.10802	−	1.91915i
$775$	12.3707	+	15.3482i	0.444369	+	0.551325i
$776$	8.88717	−	15.3930i	0.319031	−	0.552578i
$777$	12.4301	+	5.53423i	0.445927	+	0.198539i
$778$	−0.940770	+	8.95083i	−0.0337282	+	0.320903i
$779$	−4.05153	+	12.4693i	−0.145161	+	0.446760i
$780$	4.63311	−	2.52472i	0.165892	−	0.0903995i
$781$	−3.09220			−0.110648
$782$	2.31199	−	0.491429i	0.0826767	−	0.0175735i
$783$	42.6370	−	47.3532i	1.52372	−	1.69227i
$784$	−13.6725	−	2.90617i	−0.488302	−	0.103792i
$785$	−18.4965	+	13.4385i	−0.660170	+	0.479641i
$786$	39.5913	+	43.9706i	1.41217	+	1.56838i
$787$	3.11399	+	29.6277i	0.111002	+	1.05611i	0.898253	+	0.439480i	$0.144837\pi$
$787$	3.11399	+	29.6277i	0.111002	+	1.05611i	−0.787251	+	0.616633i	$0.788496\pi$
$788$	−0.731100	−	0.531175i	−0.0260443	−	0.0189223i
$789$	63.4278	+	13.4820i	2.25809	+	0.479972i
$790$	−0.398463	+	3.79112i	−0.0141767	+	0.134882i
$791$	0.447109	−	4.25396i	0.0158974	−	0.151253i
$792$	14.8566	+	45.7239i	0.527906	+	1.62473i
$793$	22.5478	−	29.4777i	0.800695	−	1.04678i
$794$	21.2284	−	15.4233i	0.753367	−	0.547353i
$795$	43.4741	−	9.24071i	1.54187	−	0.327734i
$796$	1.10893	+	0.493727i	0.0393050	+	0.0174997i
$797$	25.5073	+	5.42174i	0.903515	+	0.192048i	0.636166	−	0.771552i	$-0.280519\pi$
$797$	25.5073	+	5.42174i	0.903515	+	0.192048i	0.267348	+	0.963600i	$0.413853\pi$
$798$	−6.18670	−	19.0407i	−0.219007	−	0.674033i
$799$	−26.9261	−	29.9044i	−0.952575	−	1.05794i
$800$	−3.54819	+	6.14565i	−0.125448	+	0.217282i
$801$	−70.9815			−2.50801
$802$	10.2948	+	11.4335i	0.363521	+	0.403731i
$803$	3.37086	−	32.0716i	0.118955	−	1.13178i
$804$	1.06630	+	0.474746i	0.0376054	+	0.0167430i
$805$	0.652727			0.0230056
$806$	−3.33718	−	25.4992i	−0.117547	−	0.898172i
$807$	−16.9067			−0.595145
$808$	−39.4087	−	17.5459i	−1.38639	−	0.617262i
$809$	3.94789	−	37.5617i	0.138800	−	1.32060i	−0.674293	−	0.738464i	$-0.735551\pi$
$809$	3.94789	−	37.5617i	0.138800	−	1.32060i	0.813093	−	0.582134i	$-0.197782\pi$
$810$	37.4981	+	41.6459i	1.31755	+	1.46329i
$811$	−42.1124			−1.47877			−0.739383	−	0.673285i	$-0.764883\pi$
$811$	−42.1124			−1.47877			−0.739383	+	0.673285i	$0.764883\pi$
$812$	1.00745	−	1.74496i	0.0353547	−	0.0612362i
$813$	34.6990	+	38.5371i	1.21695	+	1.35155i
$814$	−1.88908	−	5.81398i	−0.0662121	−	0.203780i
$815$	12.5054	+	2.65811i	0.438046	+	0.0931095i
$816$	53.1925	+	23.6828i	1.86211	+	0.829064i
$817$	−16.2185	+	3.44734i	−0.567412	+	0.120607i
$818$	11.3707	−	8.26131i	0.397568	−	0.288850i
$819$	18.6146	+	44.7468i	0.650448	+	1.56358i
$820$	−0.607850	−	1.87077i	−0.0212270	−	0.0653301i
$821$	−3.29731	+	31.3718i	−0.115077	+	1.09488i	0.772751	+	0.634709i	$0.218880\pi$
$821$	−3.29731	+	31.3718i	−0.115077	+	1.09488i	−0.887828	+	0.460175i	$0.847787\pi$
$822$	−6.73730	+	64.1012i	−0.234990	+	2.23578i
$823$	−5.49833	−	1.16871i	−0.191660	−	0.0407386i	0.111082	−	0.993811i	$-0.464569\pi$
$823$	−5.49833	−	1.16871i	−0.191660	−	0.0407386i	−0.302741	+	0.953073i	$0.597902\pi$
$824$	0.101933	+	0.0740583i	0.00355099	+	0.00257994i
$825$	2.36859	+	22.5356i	0.0824637	+	0.784589i
$826$	8.48936	+	9.42839i	0.295383	+	0.328056i
$827$	10.0253	−	7.28381i	0.348614	−	0.253283i	−0.399673	−	0.916658i	$-0.630876\pi$
$827$	10.0253	−	7.28381i	0.348614	−	0.253283i	0.748287	+	0.663375i	$0.230876\pi$
$828$	−0.993247	−	0.211121i	−0.0345177	−	0.00733697i
$829$	−0.897129	+	0.996363i	−0.0311586	+	0.0346051i	−0.758523	−	0.651647i	$-0.774079\pi$
$829$	−0.897129	+	0.996363i	−0.0311586	+	0.0346051i	0.727364	+	0.686252i	$0.240745\pi$
$830$	5.58484	−	1.18710i	0.193853	−	0.0412047i
$831$	2.68729			0.0932209
$832$	28.0956	−	15.3101i	0.974039	−	0.530782i
$833$	7.49502	−	23.0673i	0.259687	−	0.799234i
$834$	−2.80661	+	26.7031i	−0.0971849	+	0.924653i
$835$	17.6373	+	7.85264i	0.610365	+	0.271752i
$836$	0.983712	−	1.70384i	0.0340224	−	0.0589285i
$837$	−94.6203	+	36.0731i	−3.27056	+	1.24687i
$838$	0.643800	−	1.11509i	0.0222397	−	0.0385203i
$839$	2.02498	+	19.2664i	0.0699102	+	0.665151i	0.972221	+	0.234065i	$0.0752028\pi$
$839$	2.02498	+	19.2664i	0.0699102	+	0.665151i	−0.902311	+	0.431086i	$0.858131\pi$
$840$	15.9700	+	11.6029i	0.551018	+	0.400338i
$841$	−11.1914	−	12.4294i	−0.385912	−	0.428599i
$842$	−11.1844	−	19.3719i	−0.385439	−	0.667601i
$843$	32.8338	+	56.8697i	1.13085	+	1.95870i
$844$	1.64641	−	5.06713i	0.0566718	−	0.174418i
$845$	−15.1821	−	4.01851i	−0.522281	−	0.138241i
$846$	−24.4240	−	75.1693i	−0.839714	−	2.58438i
$847$	−10.8368	−	4.82483i	−0.372355	−	0.165783i
$848$	33.6243	−	7.14707i	1.15466	−	0.245431i
$849$	7.71285	+	73.3829i	0.264704	+	2.51849i
$850$	20.0772	+	14.5869i	0.688641	+	0.500327i
$851$	0.830009	+	0.176424i	0.0284523	+	0.00604773i
$852$	1.80439	−	0.803366i	0.0618174	−	0.0275229i
$853$	3.38419	+	2.45876i	0.115873	+	0.0841864i	0.644212	−	0.764847i	$-0.277185\pi$
$853$	3.38419	+	2.45876i	0.115873	+	0.0841864i	−0.528340	+	0.849033i	$0.677185\pi$
$854$	20.6654	+	4.39256i	0.707155	+	0.150310i
$855$	3.06188	−	29.1318i	0.104714	−	0.996287i
$856$	−43.7382	−	19.4735i	−1.49494	−	0.665590i
$857$	−10.4275	+	32.0927i	−0.356198	+	1.09626i	0.599114	+	0.800664i	$0.295520\pi$
$857$	−10.4275	+	32.0927i	−0.356198	+	1.09626i	−0.955312	+	0.295601i	$0.904480\pi$
$858$	12.6856	−	26.7006i	0.433080	−	0.911542i
$859$	−16.5501	−	50.9360i	−0.564682	−	1.73791i	−0.668893	−	0.743359i	$-0.733232\pi$
$859$	−16.5501	−	50.9360i	−0.564682	−	1.73791i	0.104210	−	0.994555i	$-0.466768\pi$
$860$	1.66453	−	1.84865i	0.0567601	−	0.0630385i
$861$	23.9926	−	5.09979i	0.817666	−	0.173800i
$862$	−21.7724	+	37.7109i	−0.741570	+	1.28444i
$863$	48.5254			1.65182			0.825912	−	0.563798i	$-0.190661\pi$
$863$	48.5254			1.65182			0.825912	+	0.563798i	$0.190661\pi$
$864$	−24.3920	−	27.0901i	−0.829834	−	0.921624i
$865$	18.3858	−	8.18591i	0.625138	−	0.278329i
$866$	1.20409	−	0.874819i	0.0409165	−	0.0297276i
$867$	−21.8313	+	37.8130i	−0.741430	+	1.28420i
$868$	−2.68947	+	1.73783i	−0.0912866	+	0.0589857i
$869$	−2.33563	−	4.04543i	−0.0792309	−	0.137232i
$870$	−14.8035	+	10.7554i	−0.501886	+	0.364641i
$871$	−1.33439	−	3.20768i	−0.0452142	−	0.108688i
$872$	15.7980	−	48.6212i	0.534987	−	1.64652i
$873$	24.6721	+	42.7333i	0.835023	+	1.44630i
$874$	−0.624282	−	1.08129i	−0.0211166	−	0.0365751i
$875$	11.0616	+	12.2852i	0.373951	+	0.415315i
$876$	6.36533	+	19.5905i	0.215065	+	0.661901i
$877$	−4.37227	−	0.929354i	−0.147641	−	0.0313821i	0.133498	−	0.991049i	$-0.457379\pi$
$877$	−4.37227	−	0.929354i	−0.147641	−	0.0313821i	−0.281139	+	0.959667i	$0.590712\pi$
$878$	−4.26407	−	40.5699i	−0.143905	−	1.36917i
$879$	5.67473	−	17.4650i	0.191404	−	0.589081i
$880$	−0.755139	−	7.18467i	−0.0254557	−	0.242195i
$881$	−4.74575	+	45.1528i	−0.159889	+	1.52124i	0.560784	+	0.827962i	$0.310500\pi$
$881$	−4.74575	+	45.1528i	−0.159889	+	1.52124i	−0.720673	+	0.693276i	$0.756167\pi$
$882$	31.8767	−	35.4027i	1.07335	−	1.19207i
$883$	−46.0886	−	33.4853i	−1.55100	−	1.12687i	−0.942930	−	0.332990i	$-0.891943\pi$
$883$	−46.0886	−	33.4853i	−1.55100	−	1.12687i	−0.608074	−	0.793881i	$-0.708057\pi$
$884$	2.71981	+	6.53801i	0.0914770	+	0.219897i
$885$	7.78746	+	23.9673i	0.261773	+	0.805653i
$886$	2.86699	−	27.2776i	0.0963185	−	0.916410i
$887$	−38.7192	−	17.2389i	−1.30006	−	0.578826i	−0.364244	−	0.931304i	$-0.618672\pi$
$887$	−38.7192	−	17.2389i	−1.30006	−	0.578826i	−0.935820	+	0.352478i	$0.885339\pi$
$888$	17.1714	+	19.0708i	0.576234	+	0.639973i
$889$	3.12232	−	2.26850i	0.104719	−	0.0760830i
$890$	12.8081	+	2.72244i	0.429328	+	0.0912564i
$891$	−67.1713	−	14.2777i	−2.25032	−	0.478321i
$892$	−1.17786	+	3.62507i	−0.0394376	+	0.121376i
$893$	−10.6282	+	18.4086i	−0.355660	+	0.616020i
$894$	−17.7814	−	30.7982i	−0.594698	−	1.03005i
$895$	7.53973	−	1.60262i	0.252025	−	0.0535697i
$896$	9.53972	+	6.93101i	0.318700	+	0.231549i
$897$	2.32925	+	3.37805i	0.0777715	+	0.112790i
$898$	43.2174			1.44218
$899$	−5.00559	−	18.8536i	−0.166946	−	0.628803i
$900$	−5.33071	−	9.23307i	−0.177690	−	0.307769i
$901$	6.23493	+	59.3214i	0.207716	+	1.97628i
$902$	−8.91568	−	6.47762i	−0.296860	−	0.215681i
$903$	20.7564	+	23.0523i	0.690730	+	0.767133i
$904$	4.03366	−	6.98650i	0.134158	−	0.232368i
$905$	−14.2318			−0.473082
$906$	−44.3015	−	49.2018i	−1.47182	−	1.63462i
$907$	38.0749	−	42.2864i	1.26426	−	1.40410i	0.388425	−	0.921480i	$-0.373019\pi$
$907$	38.0749	−	42.2864i	1.26426	−	1.40410i	0.875831	−	0.482618i	$-0.160314\pi$
$908$	5.77898	−	6.41821i	0.191782	−	0.212996i
$909$	96.8860	−	70.3918i	3.21351	−	2.33475i
$910$	−1.64264	−	8.78818i	−0.0544530	−	0.291325i
$911$	9.13582	−	6.63756i	0.302683	−	0.219912i	−0.426067	−	0.904691i	$-0.640101\pi$
$911$	9.13582	−	6.63756i	0.302683	−	0.219912i	0.728751	+	0.684779i	$0.240101\pi$
$912$	3.21501	−	30.5888i	0.106460	−	1.01290i
$913$	−4.68165	+	5.19950i	−0.154940	+	0.172078i
$914$	−21.1822	+	9.43094i	−0.700646	+	0.311948i
$915$	33.9505	+	24.6665i	1.12237	+	0.815449i
$916$	6.82151	+	1.44996i	0.225389	+	0.0479079i
$917$	−20.0327	+	8.91911i	−0.661537	+	0.294535i
$918$	−103.134	+	74.9313i	−3.40393	+	2.47310i
$919$	−26.7028	−	29.6565i	−0.880845	−	0.978278i	0.119048	−	0.992888i	$-0.462016\pi$
$919$	−26.7028	−	29.6565i	−0.880845	−	0.978278i	−0.999893	+	0.0146109i	$0.995349\pi$
$920$	1.12464	+	0.500720i	0.0370782	+	0.0165083i
$921$	−52.6645	+	58.4899i	−1.73535	+	1.92731i
$922$	−10.6518	−	32.7828i	−0.350798	−	1.07964i
$923$	−5.54476	−	1.95400i	−0.182508	−	0.0643168i
$924$	−3.68073			−0.121087
$925$	4.45462	+	7.71563i	0.146467	+	0.253688i
$926$	−32.4524	+	6.89798i	−1.06645	+	0.226682i
$927$	−0.319541	+	0.142269i	−0.0104951	+	0.00467273i
$928$	5.68104	−	4.12752i	0.186489	−	0.135492i
$929$	−10.4656	+	18.1269i	−0.343364	+	0.594724i	−0.985055	−	0.172239i	$-0.944900\pi$
$929$	−10.4656	+	18.1269i	−0.343364	+	0.594724i	0.641691	+	0.766963i	$0.278233\pi$
$930$	28.7316	−	4.48326i	0.942145	−	0.147012i
$931$	−12.8120			−0.419898
$932$	−0.996901	−	9.48488i	−0.0326546	−	0.310687i
$933$	4.59045	−	43.6752i	0.150285	−	1.42986i
$934$	14.1269	−	3.00276i	0.462246	−	0.0982535i
$935$	12.5355			0.409954
$936$	−2.25354	+	91.3776i	−0.0736592	+	2.98677i
$937$	2.81104	−	8.65148i	0.0918325	−	0.282631i	−0.894583	−	0.446902i	$-0.852527\pi$
$937$	2.81104	−	8.65148i	0.0918325	−	0.282631i	0.986415	+	0.164271i	$0.0525271\pi$
$938$	1.32337	−	1.46975i	0.0432095	−	0.0479890i
$939$	−10.7776	+	11.9698i	−0.351715	+	0.390619i
$940$	−0.333351	−	3.17162i	−0.0108727	−	0.103447i
$941$	4.35051	−	13.3895i	0.141822	−	0.436485i	−0.854766	−	0.519013i	$-0.826300\pi$
$941$	4.35051	−	13.3895i	0.141822	−	0.436485i	0.996589	+	0.0825286i	$0.0262996\pi$
$942$	−8.55230	−	81.3697i	−0.278649	−	2.65117i
$943$	1.39745	−	0.622187i	0.0455074	−	0.0202612i
$944$	6.02307	+	18.5371i	0.196034	+	0.603332i
$945$	−32.1606	+	14.3188i	−1.04618	+	0.465791i
$946$	1.45680	−	13.8605i	0.0473646	−	0.450644i
$947$	34.2581	−	38.0474i	1.11324	−	1.23638i	0.144177	−	0.989552i	$-0.453947\pi$
$947$	34.2581	−	38.0474i	1.11324	−	1.23638i	0.969060	−	0.246823i	$-0.0793867\pi$
$948$	2.41393	+	1.75382i	0.0784008	+	0.0569615i
$949$	26.3109	−	55.3789i	0.854088	−	1.79767i
$950$	4.05093	−	12.4675i	0.131430	−	0.404499i
$951$	−14.5556	−	6.48057i	−0.471997	−	0.210147i
$952$	−17.7268	+	19.6876i	−0.574527	+	0.638077i
$953$	15.9616	+	3.39274i	0.517047	+	0.109902i	0.459042	−	0.888415i	$-0.348193\pi$
$953$	15.9616	+	3.39274i	0.517047	+	0.109902i	0.0580050	+	0.998316i	$0.481526\pi$
$954$	−36.2036	+	111.423i	−1.17214	+	3.60746i
$955$	−14.4504	+	25.0289i	−0.467605	+	0.809916i
$956$	1.96840	−	3.40937i	0.0636626	−	0.110267i
$957$	6.92899	−	21.3252i	0.223983	−	0.689347i
$958$	−29.1606	+	12.9831i	−0.942136	+	0.419466i
$959$	−21.8223	−	9.71593i	−0.704680	−	0.313744i
$960$	18.0900	+	31.3327i	0.583851	+	1.01126i
$961$	−6.58398	+	30.2928i	−0.212386	+	0.977186i
$962$	0.286547	−	11.6190i	0.00923864	−	0.374613i
$963$	107.530	−	78.1252i	3.46511	−	2.51755i
$964$	−0.638587	+	6.07575i	−0.0205675	+	0.195687i
$965$	5.55595	−	1.18095i	0.178852	−	0.0380162i
$966$	−1.16793	+	2.02291i	−0.0375775	+	0.0650862i
$967$	27.7702			0.893030			0.446515	−	0.894776i	$-0.352665\pi$
$967$	27.7702			0.893030			0.446515	+	0.894776i	$0.352665\pi$
$968$	−14.9703	−	16.6262i	−0.481164	−	0.534386i
$969$	52.2036	+	11.0962i	1.67702	+	0.356462i
$970$	−2.81289	−	8.65718i	−0.0903164	−	0.277965i
$971$	−2.79204	−	26.5645i	−0.0896009	−	0.852495i	−0.943347	−	0.331807i	$-0.892342\pi$
$971$	−2.79204	−	26.5645i	−0.0896009	−	0.852495i	0.853747	−	0.520689i	$-0.174325\pi$
$972$	23.7492	−	5.04804i	0.761755	−	0.161916i
$973$	−9.09070	−	4.04744i	−0.291434	−	0.129755i
$974$	10.9999	+	7.99192i	0.352461	+	0.256078i
$975$	−9.99335	+	41.9064i	−0.320043	+	1.34208i
$976$	26.2584	+	19.0779i	0.840512	+	0.610668i
$977$	−2.93792	+	27.9524i	−0.0939923	+	0.894277i	0.841340	+	0.540506i	$0.181767\pi$
$977$	−2.93792	+	27.9524i	−0.0939923	+	0.894277i	−0.935332	+	0.353771i	$0.884899\pi$
$978$	−30.6140	+	34.0003i	−0.978929	+	1.08721i
$979$	−14.6585	+	6.52640i	−0.468489	+	0.208585i
$980$	1.55508	−	1.12983i	0.0496753	−	0.0360912i
$981$	94.9668	+	105.471i	3.03206	+	3.36744i
$982$	3.53529	+	33.6360i	0.112816	+	1.07337i
$983$	6.42650	+	19.7787i	0.204973	+	0.630844i	0.999714	+	0.0238948i	$0.00760668\pi$
$983$	6.42650	+	19.7787i	0.204973	+	0.630844i	−0.794741	+	0.606949i	$0.792393\pi$
$984$	45.2510	+	9.61840i	1.44255	+	0.306623i
$985$	−2.97505	+	0.632366i	−0.0947929	+	0.0201489i
$986$	−12.2786	−	21.2671i	−0.391029	−	0.677282i
$987$	39.7673			1.26581
$988$	2.84062	−	2.43361i	0.0903721	−	0.0774234i
$989$	1.56507	+	1.13709i	0.0497663	+	0.0361573i
$990$	22.4928	+	10.0144i	0.714868	+	0.318280i
$991$	0.881059	+	1.52604i	0.0279878	+	0.0484762i	0.879680	−	0.475566i	$-0.157757\pi$
$991$	0.881059	+	1.52604i	0.0279878	+	0.0484762i	−0.851692	+	0.524042i	$0.824423\pi$
$992$	−11.0261	+	1.72051i	−0.350080	+	0.0546262i
$993$	−24.3687			−0.773317
$994$	−0.349829	−	3.32840i	−0.0110959	−	0.105571i
$995$	3.73229	−	1.66172i	0.118321	−	0.0526801i
$996$	1.38103	−	4.25037i	0.0437596	−	0.134678i
$997$	26.6622	−	46.1803i	0.844401	−	1.46255i	−0.0417392	−	0.999129i	$-0.513290\pi$
$997$	26.6622	−	46.1803i	0.844401	−	1.46255i	0.886140	−	0.463417i	$-0.153377\pi$
$998$	16.7572	+	29.0243i	0.530439	+	0.918747i
$999$	−44.7656	+	9.51523i	−1.41632	+	0.301049i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	403.2.bl.b.16.12	✓	280
13.9	even	3	inner	403.2.bl.b.295.24	yes	280
31.2	even	5	inner	403.2.bl.b.250.24	yes	280
403.126	even	15	inner	403.2.bl.b.126.12	yes	280

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
403.2.bl.b.16.12	✓	280	1.1	even	1	trivial
403.2.bl.b.126.12	yes	280	403.126	even	15	inner
403.2.bl.b.250.24	yes	280	31.2	even	5	inner
403.2.bl.b.295.24	yes	280	13.9	even	3	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:	\( N \)	\(=\)	\( 403 = 13 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	403.bl (of order \(15\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.17029 - 0.521045i) q^{2} +(-0.352762 + 3.35630i) q^{3} +(-0.240178 - 0.266745i) q^{4} -1.20807 q^{5} +(2.16162 - 3.74403i) q^{6} +(1.07211 + 1.19070i) q^{7} +(0.933816 + 2.87399i) q^{8} +(-8.20588 - 1.74421i) q^{9} +O(q^{10})\)	\(q+(-1.17029 - 0.521045i) q^{2} +(-0.352762 + 3.35630i) q^{3} +(-0.240178 - 0.266745i) q^{4} -1.20807 q^{5} +(2.16162 - 3.74403i) q^{6} +(1.07211 + 1.19070i) q^{7} +(0.933816 + 2.87399i) q^{8} +(-8.20588 - 1.74421i) q^{9} +(1.41379 + 0.629461i) q^{10} +(-1.85499 + 0.394290i) q^{11} +(0.980002 - 0.712013i) q^{12} +(-3.57542 - 0.465174i) q^{13} +(-0.634268 - 1.95208i) q^{14} +(0.426162 - 4.05466i) q^{15} +(0.329608 - 3.13601i) q^{16} +(5.35199 + 1.13760i) q^{17} +(8.69442 + 6.31687i) q^{18} +(-0.302116 - 2.87444i) q^{19} +(0.290153 + 0.322247i) q^{20} +(-4.37455 + 3.17829i) q^{21} +(2.37631 + 0.505100i) q^{22} +(-0.225642 + 0.250601i) q^{23} +(-9.97540 + 2.12034i) q^{24} -3.54056 q^{25} +(3.94189 + 2.40734i) q^{26} +(5.62023 - 17.2973i) q^{27} +(0.0601154 - 0.571960i) q^{28} +(3.20062 + 1.42501i) q^{29} +(-2.61139 + 4.52307i) q^{30} +(-3.49400 - 4.33497i) q^{31} +(1.00216 - 1.73579i) q^{32} +(-0.668987 - 6.36499i) q^{33} +(-5.67062 - 4.11994i) q^{34} +(-1.29519 - 1.43845i) q^{35} +(1.50561 + 2.60780i) q^{36} +(-1.25817 - 2.17921i) q^{37} +(-1.14415 + 3.52134i) q^{38} +(2.82253 - 11.8361i) q^{39} +(-1.12812 - 3.47199i) q^{40} +(-4.14408 - 1.84506i) q^{41} +(6.77551 - 1.44018i) q^{42} +(-0.599654 - 5.70533i) q^{43} +(0.550702 + 0.400108i) q^{44} +(9.91331 + 2.10714i) q^{45} +(0.394641 - 0.175705i) q^{46} +(-5.94989 - 4.32285i) q^{47} +(10.4091 + 2.21253i) q^{48} +(0.463355 - 4.40853i) q^{49} +(4.14347 + 1.84479i) q^{50} +(-5.70610 + 17.5616i) q^{51} +(0.734654 + 1.06545i) q^{52} +(3.36875 + 10.3679i) q^{53} +(-15.5900 + 17.3144i) q^{54} +(2.24096 - 0.476331i) q^{55} +(-2.42090 + 4.19313i) q^{56} +9.75407 q^{57} +(-3.00315 - 3.33534i) q^{58} +(-5.64681 + 2.51412i) q^{59} +(-1.18391 + 0.860164i) q^{60} +(-5.14658 + 8.91413i) q^{61} +(1.83026 + 6.89369i) q^{62} +(-6.72078 - 11.6407i) q^{63} +(-7.17935 + 5.21610i) q^{64} +(4.31937 + 0.561964i) q^{65} +(-2.53354 + 7.79744i) q^{66} +(0.481780 + 0.834468i) q^{67} +(-0.981981 - 1.70084i) q^{68} +(-0.761495 - 0.845726i) q^{69} +(0.766243 + 2.35825i) q^{70} +(1.59491 + 0.339008i) q^{71} +(-2.64993 - 25.2124i) q^{72} +(-5.25474 + 16.1724i) q^{73} +(0.336950 + 3.20586i) q^{74} +(1.24897 - 11.8832i) q^{75} +(-0.694180 + 0.770965i) q^{76} +(-2.45823 - 1.78601i) q^{77} +(-9.47031 + 12.3810i) q^{78} +(0.761168 + 2.34263i) q^{79} +(-0.398190 + 3.78853i) q^{80} +(33.0806 + 14.7284i) q^{81} +(3.88840 + 4.31851i) q^{82} +(2.98476 - 2.16855i) q^{83} +(1.89846 + 0.403531i) q^{84} +(-6.46559 - 1.37430i) q^{85} +(-2.27097 + 6.98931i) q^{86} +(-5.91182 + 10.2396i) q^{87} +(-2.86540 - 4.96302i) q^{88} +(8.27615 - 1.75915i) q^{89} +(-10.5035 - 7.63124i) q^{90} +(-3.27936 - 4.75596i) q^{91} +0.121041 q^{92} +(15.7820 - 10.1977i) q^{93} +(4.71068 + 8.15913i) q^{94} +(0.364978 + 3.47253i) q^{95} +(5.47230 + 3.97586i) q^{96} +(-3.93573 - 4.37107i) q^{97} +(-2.83930 + 4.91782i) q^{98} +15.9095 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 280 q + q^{2} + 39 q^{4} - 8 q^{5} - 2 q^{7} + 12 q^{8} + 29 q^{9}+O(q^{10}) \) 280 * q + q^2 + 39 * q^4 - 8 * q^5 - 2 * q^7 + 12 * q^8 + 29 * q^9	\( 280 q + q^{2} + 39 q^{4} - 8 q^{5} - 2 q^{7} + 12 q^{8} + 29 q^{9} - 21 q^{10} - q^{11} - 16 q^{12} - 54 q^{14} - 27 q^{15} + 31 q^{16} + 2 q^{17} - 10 q^{18} + 5 q^{19} - 3 q^{20} + 68 q^{21} - 39 q^{22} - 7 q^{23} + 48 q^{24} + 200 q^{25} + 6 q^{26} - 78 q^{27} + 30 q^{28} - 16 q^{29} - 66 q^{30} - 62 q^{31} - 56 q^{32} - 20 q^{33} - 126 q^{34} - 37 q^{35} - 140 q^{36} - 36 q^{37} + 4 q^{38} + 28 q^{39} - 158 q^{40} - 4 q^{41} + 16 q^{42} - 16 q^{43} + 42 q^{44} - 46 q^{45} - 29 q^{46} + 8 q^{47} - 36 q^{48} + 43 q^{49} - 5 q^{50} - 134 q^{51} - q^{52} + 8 q^{53} + 44 q^{54} - 55 q^{55} - 42 q^{56} + 140 q^{57} + 38 q^{58} - 23 q^{59} + 38 q^{60} + 40 q^{61} + 19 q^{62} - 146 q^{63} - 68 q^{64} + 2 q^{65} + 6 q^{66} + 46 q^{67} + 86 q^{68} - 32 q^{69} - 4 q^{70} + 60 q^{71} + 73 q^{72} - 12 q^{73} - 44 q^{74} + 16 q^{75} - 70 q^{76} + 10 q^{77} - 142 q^{78} + 134 q^{79} - 72 q^{80} - 18 q^{81} + 28 q^{82} - 88 q^{83} + 81 q^{84} - 69 q^{85} + 188 q^{86} - 28 q^{87} + 42 q^{88} + 12 q^{89} + 22 q^{90} + 67 q^{91} - 324 q^{92} - 25 q^{93} - 62 q^{94} + 16 q^{95} + 276 q^{96} + 16 q^{97} + 76 q^{98} - 60 q^{99}+O(q^{100}) \) 280 * q + q^2 + 39 * q^4 - 8 * q^5 - 2 * q^7 + 12 * q^8 + 29 * q^9 - 21 * q^10 - q^11 - 16 * q^12 - 54 * q^14 - 27 * q^15 + 31 * q^16 + 2 * q^17 - 10 * q^18 + 5 * q^19 - 3 * q^20 + 68 * q^21 - 39 * q^22 - 7 * q^23 + 48 * q^24 + 200 * q^25 + 6 * q^26 - 78 * q^27 + 30 * q^28 - 16 * q^29 - 66 * q^30 - 62 * q^31 - 56 * q^32 - 20 * q^33 - 126 * q^34 - 37 * q^35 - 140 * q^36 - 36 * q^37 + 4 * q^38 + 28 * q^39 - 158 * q^40 - 4 * q^41 + 16 * q^42 - 16 * q^43 + 42 * q^44 - 46 * q^45 - 29 * q^46 + 8 * q^47 - 36 * q^48 + 43 * q^49 - 5 * q^50 - 134 * q^51 - q^52 + 8 * q^53 + 44 * q^54 - 55 * q^55 - 42 * q^56 + 140 * q^57 + 38 * q^58 - 23 * q^59 + 38 * q^60 + 40 * q^61 + 19 * q^62 - 146 * q^63 - 68 * q^64 + 2 * q^65 + 6 * q^66 + 46 * q^67 + 86 * q^68 - 32 * q^69 - 4 * q^70 + 60 * q^71 + 73 * q^72 - 12 * q^73 - 44 * q^74 + 16 * q^75 - 70 * q^76 + 10 * q^77 - 142 * q^78 + 134 * q^79 - 72 * q^80 - 18 * q^81 + 28 * q^82 - 88 * q^83 + 81 * q^84 - 69 * q^85 + 188 * q^86 - 28 * q^87 + 42 * q^88 + 12 * q^89 + 22 * q^90 + 67 * q^91 - 324 * q^92 - 25 * q^93 - 62 * q^94 + 16 * q^95 + 276 * q^96 + 16 * q^97 + 76 * q^98 - 60 * q^99

Introduction

L-functions

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