LMFDB - Embedded newform 483.2.u.a.113.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(113,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 0, 13]))

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

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

chi := DirichletCharacter("483.113");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.u (of order $22$, degree $10$, 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:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$480$
Relative dimension:	$48$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			113.12
Character	$\chi$	$=$	483.113
Dual form			483.2.u.a.218.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.908799 + 1.41412i) q^{2} +(1.31791 - 1.12388i) q^{3} +(-0.342987 - 0.751037i) q^{4} +(-2.80823 - 0.824571i) q^{5} +(0.391583 + 2.88507i) q^{6} +(0.755750 + 0.654861i) q^{7} +(-1.95395 - 0.280936i) q^{8} +(0.473786 - 2.96235i) q^{9} +O(q^{10})$	\(q+(-0.908799 + 1.41412i) q^{2} +(1.31791 - 1.12388i) q^{3} +(-0.342987 - 0.751037i) q^{4} +(-2.80823 - 0.824571i) q^{5} +(0.391583 + 2.88507i) q^{6} +(0.755750 + 0.654861i) q^{7} +(-1.95395 - 0.280936i) q^{8} +(0.473786 - 2.96235i) q^{9} +(3.71816 - 3.22180i) q^{10} +(2.88200 - 1.85215i) q^{11} +(-1.29610 - 0.604324i) q^{12} +(3.08945 + 3.56541i) q^{13} +(-1.61288 + 0.473583i) q^{14} +(-4.62772 + 2.06940i) q^{15} +(3.25440 - 3.75577i) q^{16} +(1.25597 - 2.75018i) q^{17} +(3.75854 + 3.36217i) q^{18} +(4.23775 - 1.93532i) q^{19} +(0.343903 + 2.39190i) q^{20} +(1.73200 + 0.0136771i) q^{21} +5.75872i q^{22} +(3.32844 + 3.45275i) q^{23} +(-2.89088 + 1.82576i) q^{24} +(2.99997 + 1.92796i) q^{25} +(-7.84961 + 1.12860i) q^{26} +(-2.70492 - 4.43660i) q^{27} +(0.232612 - 0.792204i) q^{28} +(5.80162 + 2.64951i) q^{29} +(1.27929 - 8.42482i) q^{30} +(0.633469 - 4.40588i) q^{31} +(1.24121 + 4.22719i) q^{32} +(1.71663 - 5.67999i) q^{33} +(2.74766 + 4.27545i) q^{34} +(-1.58234 - 2.46217i) q^{35} +(-2.38734 + 0.660217i) q^{36} +(-2.32849 - 7.93009i) q^{37} +(-1.11450 + 7.75150i) q^{38} +(8.07872 + 1.22673i) q^{39} +(5.25549 + 2.40010i) q^{40} +(2.34798 - 7.99650i) q^{41} +(-1.59338 + 2.43682i) q^{42} +(-3.84249 + 0.552466i) q^{43} +(-2.37952 - 1.52923i) q^{44} +(-3.77317 + 7.92829i) q^{45} +(-7.90748 + 1.56896i) q^{46} +2.55505i q^{47} +(0.0679696 - 8.60733i) q^{48} +(0.142315 + 0.989821i) q^{49} +(-5.45274 + 2.49018i) q^{50} +(-1.43562 - 5.03605i) q^{51} +(1.61812 - 3.54318i) q^{52} +(-3.49845 + 4.03742i) q^{53} +(8.73211 + 0.206899i) q^{54} +(-9.62055 + 2.82485i) q^{55} +(-1.29272 - 1.49188i) q^{56} +(3.40992 - 7.31330i) q^{57} +(-9.01923 + 5.79631i) q^{58} +(-0.607851 + 0.526706i) q^{59} +(3.14144 + 2.76581i) q^{60} +(1.21370 + 0.174504i) q^{61} +(5.65474 + 4.89986i) q^{62} +(2.29799 - 1.92853i) q^{63} +(2.43084 + 0.713758i) q^{64} +(-5.73595 - 12.5600i) q^{65} +(6.47212 + 7.58949i) q^{66} +(-4.30448 + 6.69791i) q^{67} -2.49627 q^{68} +(8.26707 + 0.809652i) q^{69} +4.91983 q^{70} +(-8.71672 + 13.5635i) q^{71} +(-1.75799 + 5.65519i) q^{72} +(4.85427 + 10.6294i) q^{73} +(13.3302 + 3.91411i) q^{74} +(6.12050 - 0.830720i) q^{75} +(-2.90699 - 2.51892i) q^{76} +(3.39097 + 0.487548i) q^{77} +(-9.07668 + 10.3094i) q^{78} +(-0.977830 + 0.847294i) q^{79} +(-12.2360 + 7.86360i) q^{80} +(-8.55105 - 2.80704i) q^{81} +(9.17416 + 10.5875i) q^{82} +(2.13836 - 0.627878i) q^{83} +(-0.583780 - 1.30548i) q^{84} +(-5.79476 + 6.68751i) q^{85} +(2.71079 - 5.93581i) q^{86} +(10.6238 - 3.02850i) q^{87} +(-6.15163 + 2.80935i) q^{88} +(0.0843720 + 0.586820i) q^{89} +(-7.78250 - 12.5409i) q^{90} +4.71772i q^{91} +(1.45153 - 3.68403i) q^{92} +(-4.11682 - 6.51850i) q^{93} +(-3.61314 - 2.32202i) q^{94} +(-13.4964 + 1.94049i) q^{95} +(6.38666 + 4.17608i) q^{96} +(3.28131 - 11.1751i) q^{97} +(-1.52906 - 0.698299i) q^{98} +(-4.12127 - 9.41502i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 480 q + 4 q^{3} + 40 q^{4} - 6 q^{6} - 4 q^{9}+O(q^{10}) $ 480 * q + 4 * q^3 + 40 * q^4 - 6 * q^6 - 4 * q^9	$ 480 q + 4 q^{3} + 40 q^{4} - 6 q^{6} - 4 q^{9} - 22 q^{12} + 8 q^{13} - 22 q^{15} - 24 q^{16} - 30 q^{18} - 120 q^{24} - 88 q^{25} + 16 q^{27} - 44 q^{30} + 8 q^{31} - 22 q^{33} - 44 q^{34} + 10 q^{36} - 44 q^{37} - 308 q^{40} - 44 q^{43} - 184 q^{46} + 98 q^{48} + 48 q^{49} - 28 q^{52} + 28 q^{54} - 44 q^{55} + 66 q^{57} + 4 q^{58} + 220 q^{60} + 84 q^{64} + 176 q^{66} + 44 q^{67} + 102 q^{69} - 8 q^{70} - 60 q^{72} + 4 q^{73} - 8 q^{75} + 176 q^{76} + 18 q^{78} - 16 q^{81} + 20 q^{82} - 154 q^{84} + 84 q^{85} + 28 q^{87} - 418 q^{90} - 188 q^{93} + 12 q^{94} - 412 q^{96} - 132 q^{97}+O(q^{100}) $ 480 * q + 4 * q^3 + 40 * q^4 - 6 * q^6 - 4 * q^9 - 22 * q^12 + 8 * q^13 - 22 * q^15 - 24 * q^16 - 30 * q^18 - 120 * q^24 - 88 * q^25 + 16 * q^27 - 44 * q^30 + 8 * q^31 - 22 * q^33 - 44 * q^34 + 10 * q^36 - 44 * q^37 - 308 * q^40 - 44 * q^43 - 184 * q^46 + 98 * q^48 + 48 * q^49 - 28 * q^52 + 28 * q^54 - 44 * q^55 + 66 * q^57 + 4 * q^58 + 220 * q^60 + 84 * q^64 + 176 * q^66 + 44 * q^67 + 102 * q^69 - 8 * q^70 - 60 * q^72 + 4 * q^73 - 8 * q^75 + 176 * q^76 + 18 * q^78 - 16 * q^81 + 20 * q^82 - 154 * q^84 + 84 * q^85 + 28 * q^87 - 418 * q^90 - 188 * q^93 + 12 * q^94 - 412 * q^96 - 132 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$-1$	$1$	$e\left(\frac{13}{22}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.908799	+	1.41412i	−0.642618	+	0.999933i	0.355256	+	0.934769i	$0.384394\pi$
$2$	−0.908799	+	1.41412i	−0.642618	+	0.999933i	−0.997875	+	0.0651644i	$0.979243\pi$
$3$	1.31791	−	1.12388i	0.760897	−	0.648873i
$3$	1.31791	−	1.12388i	0.760897	−	0.648873i
$4$	−0.342987	−	0.751037i	−0.171493	−	0.375518i
$5$	−2.80823	−	0.824571i	−1.25588	−	0.368759i	−0.414920	−	0.909858i	$-0.636190\pi$
$5$	−2.80823	−	0.824571i	−1.25588	−	0.368759i	−0.840959	+	0.541099i	$0.818008\pi$
$6$	0.391583	+	2.88507i	0.159863	+	1.17782i
$7$	0.755750	+	0.654861i	0.285646	+	0.247514i
$7$	0.755750	+	0.654861i	0.285646	+	0.247514i
$8$	−1.95395	−	0.280936i	−0.690826	−	0.0993258i
$9$	0.473786	−	2.96235i	0.157929	−	0.987451i
$10$	3.71816	−	3.22180i	1.17578	−	1.01882i
$11$	2.88200	−	1.85215i	0.868956	−	0.558444i	−0.0284773	−	0.999594i	$-0.509066\pi$
$11$	2.88200	−	1.85215i	0.868956	−	0.558444i	0.897433	+	0.441150i	$0.145429\pi$
$12$	−1.29610	−	0.604324i	−0.374152	−	0.174453i
$13$	3.08945	+	3.56541i	0.856859	+	0.988868i	1.00000		0.000834475i	$-0.000265622\pi$
$13$	3.08945	+	3.56541i	0.856859	+	0.988868i	−0.143141	+	0.989702i	$0.545720\pi$
$14$	−1.61288	+	0.473583i	−0.431059	+	0.126570i
$15$	−4.62772	+	2.06940i	−1.19487	+	0.534317i
$16$	3.25440	−	3.75577i	0.813599	−	0.938944i
$17$	1.25597	−	2.75018i	0.304616	−	0.667017i	−0.693979	−	0.719995i	$-0.744144\pi$
$17$	1.25597	−	2.75018i	0.304616	−	0.667017i	0.998596	+	0.0529782i	$0.0168714\pi$
$18$	3.75854	+	3.36217i	0.885897	+	0.792472i
$19$	4.23775	−	1.93532i	0.972207	−	0.443992i	0.134980	−	0.990848i	$-0.456903\pi$
$19$	4.23775	−	1.93532i	0.972207	−	0.443992i	0.837227	+	0.546856i	$0.184176\pi$
$20$	0.343903	+	2.39190i	0.0768991	+	0.534845i
$21$	1.73200	+	0.0136771i	0.377953	+	0.00298458i
$22$			5.75872i			1.22776i
$23$	3.32844	+	3.45275i	0.694028	+	0.719948i
$23$	3.32844	+	3.45275i	0.694028	+	0.719948i
$24$	−2.89088	+	1.82576i	−0.590098	+	0.372682i
$25$	2.99997	+	1.92796i	0.599994	+	0.385593i
$26$	−7.84961	+	1.12860i	−1.53943	+	0.221337i
$27$	−2.70492	−	4.43660i	−0.520562	−	0.853824i
$28$	0.232612	−	0.792204i	0.0439596	−	0.149713i
$29$	5.80162	+	2.64951i	1.07733	+	0.492002i	0.873410	−	0.486985i	$-0.161903\pi$
$29$	5.80162	+	2.64951i	1.07733	+	0.492002i	0.203923	+	0.978987i	$0.434631\pi$
$30$	1.27929	−	8.42482i	0.233565	−	1.53815i
$31$	0.633469	−	4.40588i	0.113774	−	0.791319i	−0.850417	−	0.526110i	$-0.823650\pi$
$31$	0.633469	−	4.40588i	0.113774	−	0.791319i	0.964191	−	0.265209i	$-0.0854409\pi$
$32$	1.24121	+	4.22719i	0.219418	+	0.747268i
$33$	1.71663	−	5.67999i	0.298827	−	0.988760i
$34$	2.74766	+	4.27545i	0.471220	+	0.733233i
$35$	−1.58234	−	2.46217i	−0.267464	−	0.416182i
$36$	−2.38734	+	0.660217i	−0.397890	+	0.110036i
$37$	−2.32849	−	7.93009i	−0.382801	−	1.30370i	−0.895473	−	0.445115i	$-0.853163\pi$
$37$	−2.32849	−	7.93009i	−0.382801	−	1.30370i	0.512673	−	0.858584i	$-0.328655\pi$
$38$	−1.11450	+	7.75150i	−0.180795	+	1.25746i
$39$	8.07872	+	1.22673i	1.29363	+	0.196434i
$40$	5.25549	+	2.40010i	0.830967	+	0.379490i
$41$	2.34798	−	7.99650i	0.366694	−	1.24884i	−0.545161	−	0.838331i	$-0.683532\pi$
$41$	2.34798	−	7.99650i	0.366694	−	1.24884i	0.911855	−	0.410513i	$-0.134650\pi$
$42$	−1.59338	+	2.43682i	−0.245864	+	0.376010i
$43$	−3.84249	+	0.552466i	−0.585974	+	0.0842503i	−0.428924	−	0.903340i	$-0.641107\pi$
$43$	−3.84249	+	0.552466i	−0.585974	+	0.0842503i	−0.157049	+	0.987591i	$0.550198\pi$
$44$	−2.37952	−	1.52923i	−0.358726	−	0.230539i
$45$	−3.77317	+	7.92829i	−0.562471	+	1.18188i
$46$	−7.90748	+	1.56896i	−1.16589	+	0.231330i
$47$			2.55505i			0.372692i	0.982484	+	0.186346i	$0.0596645\pi$
$47$			2.55505i			0.372692i	−0.982484	+	0.186346i	$0.940335\pi$
$48$	0.0679696	−	8.60733i	0.00981057	−	1.24236i
$49$	0.142315	+	0.989821i	0.0203307	+	0.141403i
$50$	−5.45274	+	2.49018i	−0.771134	+	0.352165i
$51$	−1.43562	−	5.03605i	−0.201027	−	0.705188i
$52$	1.61812	−	3.54318i	0.224392	−	0.491351i
$53$	−3.49845	+	4.03742i	−0.480549	+	0.554583i	−0.943316	−	0.331897i	$-0.892311\pi$
$53$	−3.49845	+	4.03742i	−0.480549	+	0.554583i	0.462767	+	0.886480i	$0.346857\pi$
$54$	8.73211	+	0.206899i	1.18829	+	0.0281554i
$55$	−9.62055	+	2.82485i	−1.29723	+	0.380902i
$56$	−1.29272	−	1.49188i	−0.172748	−	0.199361i
$57$	3.40992	−	7.31330i	0.451655	−	0.968671i
$58$	−9.01923	+	5.79631i	−1.18428	+	0.761092i
$59$	−0.607851	+	0.526706i	−0.0791354	+	0.0685712i	−0.693530	−	0.720427i	$-0.743946\pi$
$59$	−0.607851	+	0.526706i	−0.0791354	+	0.0685712i	0.614395	+	0.788999i	$0.289400\pi$
$60$	3.14144	+	2.76581i	0.405559	+	0.357064i
$61$	1.21370	+	0.174504i	0.155398	+	0.0223429i	0.219575	−	0.975596i	$-0.429533\pi$
$61$	1.21370	+	0.174504i	0.155398	+	0.0223429i	−0.0641766	+	0.997939i	$0.520442\pi$
$62$	5.65474	+	4.89986i	0.718152	+	0.622283i
$63$	2.29799	−	1.92853i	0.289520	−	0.242972i
$64$	2.43084	+	0.713758i	0.303855	+	0.0892198i
$65$	−5.73595	−	12.5600i	−0.711457	−	1.55787i
$66$	6.47212	+	7.58949i	0.796662	+	0.934202i
$67$	−4.30448	+	6.69791i	−0.525876	+	0.818280i	−0.997997	−	0.0632541i	$-0.979852\pi$
$67$	−4.30448	+	6.69791i	−0.525876	+	0.818280i	0.472121	+	0.881534i	$0.343489\pi$
$68$	−2.49627			−0.302717
$69$	8.26707	+	0.809652i	0.995238	+	0.0974707i
$70$	4.91983			0.588032
$71$	−8.71672	+	13.5635i	−1.03448	+	1.60969i	−0.272430	+	0.962176i	$0.587827\pi$
$71$	−8.71672	+	13.5635i	−1.03448	+	1.60969i	−0.762054	+	0.647513i	$0.775809\pi$
$72$	−1.75799	+	5.65519i	−0.207181	+	0.666470i
$73$	4.85427	+	10.6294i	0.568149	+	1.24407i	0.947777	+	0.318934i	$0.103325\pi$
$73$	4.85427	+	10.6294i	0.568149	+	1.24407i	−0.379628	+	0.925139i	$0.623948\pi$
$74$	13.3302	+	3.91411i	1.54961	+	0.455006i
$75$	6.12050	−	0.830720i	0.706734	−	0.0959232i
$76$	−2.90699	−	2.51892i	−0.333454	−	0.288940i
$77$	3.39097	+	0.487548i	0.386437	+	0.0555612i
$78$	−9.07668	+	10.3094i	−1.02773	+	1.16731i
$79$	−0.977830	+	0.847294i	−0.110014	+	0.0953280i	−0.708131	−	0.706081i	$-0.750461\pi$
$79$	−0.977830	+	0.847294i	−0.110014	+	0.0953280i	0.598117	+	0.801409i	$0.295916\pi$
$80$	−12.2360	+	7.86360i	−1.36803	+	0.879177i
$81$	−8.55105	−	2.80704i	−0.950117	−	0.311894i
$82$	9.17416	+	10.5875i	1.01312	+	1.16920i
$83$	2.13836	−	0.627878i	0.234715	−	0.0689186i	−0.162260	−	0.986748i	$-0.551878\pi$
$83$	2.13836	−	0.627878i	0.234715	−	0.0689186i	0.396975	+	0.917830i	$0.370060\pi$
$84$	−0.583780	−	1.30548i	−0.0636957	−	0.142440i
$85$	−5.79476	+	6.68751i	−0.628530	+	0.725362i
$86$	2.71079	−	5.93581i	0.292313	−	0.640075i
$87$	10.6238	−	3.02850i	1.13899	−	0.324689i
$88$	−6.15163	+	2.80935i	−0.655766	+	0.299478i
$89$	0.0843720	+	0.586820i	0.00894342	+	0.0622028i	0.993804	−	0.111143i	$-0.0354512\pi$
$89$	0.0843720	+	0.586820i	0.00894342	+	0.0622028i	−0.984861	+	0.173346i	$0.944542\pi$
$90$	−7.78250	−	12.5409i	−0.820347	−	1.32193i
$91$			4.71772i			0.494551i
$92$	1.45153	−	3.68403i	0.151332	−	0.384087i
$93$	−4.11682	−	6.51850i	−0.426894	−	0.675937i
$94$	−3.61314	−	2.32202i	−0.372667	−	0.239499i
$95$	−13.4964	+	1.94049i	−1.38470	+	0.199090i
$96$	6.38666	+	4.17608i	0.651836	+	0.426220i
$97$	3.28131	−	11.1751i	0.333166	−	1.13466i	−0.607215	−	0.794538i	$-0.707713\pi$
$97$	3.28131	−	11.1751i	0.333166	−	1.13466i	0.940381	−	0.340122i	$-0.110469\pi$
$98$	−1.52906	−	0.698299i	−0.154458	−	0.0705388i
$99$	−4.12127	−	9.41502i	−0.414203	−	0.946245i
$100$	0.419021	−	2.91435i	0.0419021	−	0.291435i
$101$	−2.93228	−	9.98644i	−0.291773	−	0.993688i	−0.966723	−	0.255825i	$-0.917653\pi$
$101$	−2.93228	−	9.98644i	−0.291773	−	0.993688i	0.674950	−	0.737864i	$-0.264165\pi$
$102$	8.42627	+	2.54662i	0.834325	+	0.252153i
$103$	−5.34256	−	8.31318i	−0.526418	−	0.819122i	0.471616	−	0.881804i	$-0.343671\pi$
$103$	−5.34256	−	8.31318i	−0.526418	−	0.819122i	−0.998034	+	0.0626819i	$0.980035\pi$
$104$	−5.03498	−	7.83458i	−0.493721	−	0.768244i
$105$	−4.85257	−	1.46656i	−0.473562	−	0.143122i
$106$	−2.53001	−	8.61643i	−0.245736	−	0.836901i
$107$	1.30103	−	9.04887i	0.125775	−	0.874787i	−0.825050	−	0.565060i	$-0.808853\pi$
$107$	1.30103	−	9.04887i	0.125775	−	0.874787i	0.950825	−	0.309727i	$-0.100238\pi$
$108$	−2.40430	+	3.55319i	−0.231354	+	0.341906i
$109$	−12.2036	−	5.57320i	−1.16889	−	0.533816i	−0.266124	−	0.963939i	$-0.585743\pi$
$109$	−12.2036	−	5.57320i	−1.16889	−	0.533816i	−0.902770	+	0.430123i	$0.858470\pi$
$110$	4.74847	−	16.1718i	0.452749	−	1.54192i
$111$	−11.9812	−	7.83423i	−1.13721	−	0.743592i
$112$	4.91902	−	0.707248i	0.464804	−	0.0668287i
$113$	16.3282	+	10.4935i	1.53603	+	0.987147i	0.988646	+	0.150265i	$0.0480128\pi$
$113$	16.3282	+	10.4935i	1.53603	+	0.987147i	0.547384	+	0.836881i	$0.315624\pi$
$114$	7.24295	+	11.4684i	0.678364	+	1.07411i
$115$	−6.49999	−	12.4406i	−0.606127	−	1.16010i
$116$		−	5.26598i		−	0.488934i
$117$	12.0257	−	7.46279i	1.11178	−	0.689935i
$118$	−0.192410	−	1.33824i	−0.0177128	−	0.123195i
$119$	2.75018	−	1.25597i	0.252109	−	0.115134i
$120$	9.62371	−	2.74342i	0.878521	−	0.250439i
$121$	0.305906	−	0.669840i	0.0278096	−	0.0608945i
$122$	−1.34978	+	1.55773i	−0.122203	+	0.141030i
$123$	−5.89267	−	13.1775i	−0.531324	−	1.18818i
$124$	−3.52625	+	1.03540i	−0.316666	+	0.0929816i
$125$	2.74832	+	3.17173i	0.245817	+	0.283688i
$126$	0.638761	+	5.00228i	0.0569054	+	0.445639i
$127$	−5.53993	+	3.56030i	−0.491589	+	0.315925i	−0.762844	−	0.646582i	$-0.776198\pi$
$127$	−5.53993	+	3.56030i	−0.491589	+	0.315925i	0.271255	+	0.962507i	$0.412561\pi$
$128$	−9.87761	+	8.55900i	−0.873066	+	0.756516i
$129$	−4.44315	+	5.04660i	−0.391198	+	0.444328i
$130$	22.9741	+	3.30318i	2.01496	+	0.289708i
$131$	−5.92494	−	5.13399i	−0.517664	−	0.448559i	0.356425	−	0.934324i	$-0.383996\pi$
$131$	−5.92494	−	5.13399i	−0.517664	−	0.448559i	−0.874089	+	0.485765i	$0.838541\pi$
$132$	−4.85467	+	0.658912i	−0.422544	+	0.0573509i
$133$	4.47004	+	1.31252i	0.387602	+	0.113810i
$134$	−5.55973	−	12.1741i	−0.480287	−	1.05168i
$135$	3.93775	+	14.6894i	0.338907	+	1.26426i
$136$	−3.22672	+	5.02087i	−0.276689	+	0.430536i
$137$	−10.1872			−0.870347			−0.435173	−	0.900347i	$-0.643313\pi$
$137$	−10.1872			−0.870347			−0.435173	+	0.900347i	$0.643313\pi$
$138$	−8.65805	+	10.9548i	−0.737022	+	0.932536i
$139$	6.26105			0.531055			0.265528	−	0.964103i	$-0.414454\pi$
$139$	6.26105			0.531055			0.265528	+	0.964103i	$0.414454\pi$
$140$	−1.30646	+	2.03289i	−0.110416	+	0.171810i
$141$	2.87157	+	3.36733i	0.241830	+	0.283580i
$142$	−11.2586	−	24.6530i	−0.944803	−	2.06883i
$143$	15.5075	+	4.55340i	1.29680	+	0.380775i
$144$	−9.58404	−	11.4201i	−0.798670	−	0.951675i
$145$	−14.1076	−	12.2243i	−1.17157	−	1.01517i
$146$	−19.4427	−	2.79544i	−1.60909	−	0.231353i
$147$	1.30000	+	1.14455i	0.107222	+	0.0944012i
$148$	−5.15715	+	4.46870i	−0.423915	+	0.367325i
$149$	1.15959	−	0.745226i	0.0949977	−	0.0610513i	−0.492280	−	0.870437i	$-0.663836\pi$
$149$	1.15959	−	0.745226i	0.0949977	−	0.0610513i	0.587277	+	0.809386i	$0.300200\pi$
$150$	−4.38757	+	9.41007i	−0.358243	+	0.768329i
$151$	8.08205	+	9.32718i	0.657708	+	0.759035i	0.982401	−	0.186784i	$-0.0598065\pi$
$151$	8.08205	+	9.32718i	0.657708	+	0.759035i	−0.324693	+	0.945819i	$0.605261\pi$
$152$	−8.82406	+	2.59098i	−0.715726	+	0.210156i
$153$	−7.55194	−	5.02361i	−0.610538	−	0.406135i
$154$	−3.77116	+	4.35215i	−0.303889	+	0.350707i
$155$	−5.41188	+	11.8504i	−0.434693	+	0.951845i
$156$	−1.84957	−	6.48817i	−0.148084	−	0.519469i
$157$	18.5990	−	8.49387i	1.48436	−	0.677884i	0.501997	−	0.864869i	$-0.332599\pi$
$157$	18.5990	−	8.49387i	1.48436	−	0.677884i	0.982363	+	0.186985i	$0.0598715\pi$
$158$	−0.309524	−	2.15279i	−0.0246244	−	0.171267i
$159$	−0.0730667	+	9.25280i	−0.00579456	+	0.733795i
$160$		−	12.8944i		−	1.01939i
$161$	0.254398	+	4.78908i	0.0200494	+	0.377432i
$162$	11.7407	−	9.54117i	0.922435	−	0.749625i
$163$	−13.9993	−	8.99678i	−1.09651	−	0.704682i	−0.138194	−	0.990405i	$-0.544130\pi$
$163$	−13.9993	−	8.99678i	−1.09651	−	0.704682i	−0.958312	+	0.285723i	$0.907766\pi$
$164$	−6.81100	+	0.979273i	−0.531849	+	0.0764684i
$165$	−9.50425	+	14.5352i	−0.739905	+	1.13157i
$166$	−1.05544	+	3.59451i	−0.0819182	+	0.278988i
$167$	16.6785	+	7.61681i	1.29062	+	0.589407i	0.938089	−	0.346394i	$-0.112594\pi$
$167$	16.6785	+	7.61681i	1.29062	+	0.589407i	0.352531	+	0.935800i	$0.385321\pi$
$168$	−3.38040	−	0.513304i	−0.260803	−	0.0396023i
$169$	−1.31739	+	9.16265i	−0.101338	+	0.704819i
$170$	−4.19066	−	14.2721i	−0.321409	−	1.09462i
$171$	−3.72530	−	13.4706i	−0.284881	−	1.03013i
$172$	1.73284	+	2.69636i	0.132128	+	0.205595i
$173$	6.76300	+	10.5234i	0.514181	+	0.800081i	0.997141	−	0.0755610i	$-0.0240747\pi$
$173$	6.76300	+	10.5234i	0.514181	+	0.800081i	−0.482960	+	0.875642i	$0.660438\pi$
$174$	−5.37220	+	17.7756i	−0.407265	+	1.34756i
$175$	1.00468	+	3.42162i	0.0759465	+	0.258650i
$176$	2.42292	−	16.8518i	0.182634	−	1.27025i
$177$	−0.209140	+	1.37730i	−0.0157199	+	0.103524i
$178$	−0.906511	−	0.413990i	−0.0679459	−	0.0310298i
$179$	−1.65353	+	5.63140i	−0.123591	+	0.420911i	−0.997923	−	0.0644165i	$-0.979481\pi$
$179$	−1.65353	+	5.63140i	−0.123591	+	0.420911i	0.874333	+	0.485327i	$0.161300\pi$
$180$	7.24859	+	0.114487i	0.540278	+	0.00853336i
$181$	−5.95310	+	0.855927i	−0.442491	+	0.0636205i	−0.359959	−	0.932968i	$-0.617209\pi$
$181$	−5.95310	+	0.855927i	−0.442491	+	0.0636205i	−0.0825311	+	0.996588i	$0.526300\pi$
$182$	−6.67142	−	4.28746i	−0.494518	−	0.317808i
$183$	1.79567	−	1.13407i	0.132740	−	0.0838330i
$184$	−5.53361	−	7.68159i	−0.407943	−	0.566294i
$185$			24.1895i			1.77845i
$186$	12.9593	+	0.102336i	0.950222	+	0.00750362i
$187$	−1.47405	−	10.2523i	−0.107793	−	0.749719i
$188$	1.91893	−	0.876348i	0.139953	−	0.0639142i
$189$	0.861113	−	5.12430i	0.0626367	−	0.372738i
$190$	9.52142	−	20.8490i	0.690757	−	1.51255i
$191$	15.0233	−	17.3378i	1.08705	−	1.25452i	0.121973	−	0.992533i	$-0.461078\pi$
$191$	15.0233	−	17.3378i	1.08705	−	1.25452i	0.965072	−	0.261984i	$-0.0843768\pi$
$192$	4.00581	−	1.79130i	0.289094	−	0.129276i
$193$	−16.3054	+	4.78769i	−1.17369	+	0.344626i	−0.809737	−	0.586793i	$-0.800390\pi$
$193$	−16.3054	+	4.78769i	−1.17369	+	0.344626i	−0.363950	+	0.931419i	$0.618572\pi$
$194$	12.8209	+	14.7961i	0.920486	+	1.06230i
$195$	−21.6754	−	10.1064i	−1.55221	−	0.723736i
$196$	0.694580	−	0.446380i	0.0496129	−	0.0318843i
$197$	−16.5338	+	14.3266i	−1.17798	+	1.02073i	−0.178660	+	0.983911i	$0.557176\pi$
$197$	−16.5338	+	14.3266i	−1.17798	+	1.02073i	−0.999322	+	0.0368160i	$0.988278\pi$
$198$	17.0594	+	2.72840i	1.21236	+	0.193899i
$199$	−7.54836	−	1.08529i	−0.535089	−	0.0769342i	−0.130527	−	0.991445i	$-0.541667\pi$
$199$	−7.54836	−	1.08529i	−0.535089	−	0.0769342i	−0.404562	+	0.914511i	$0.632576\pi$
$200$	−5.32016	−	4.60995i	−0.376192	−	0.325972i
$201$	1.85471	+	13.6650i	0.130821	+	0.963853i
$202$	16.7869	+	4.92907i	1.18112	+	0.346808i
$203$	2.64951	+	5.80162i	0.185959	+	0.407194i
$204$	−3.28986	+	2.80550i	−0.230336	+	0.196425i
$205$	−13.1874	+	20.5199i	−0.921045	+	1.43317i
$206$	16.6111			1.15735
$207$	11.8052	−	8.22415i	0.820520	−	0.571618i
$208$	23.4452			1.62563
$209$	8.62871	−	13.4265i	0.596860	−	0.928733i
$210$	6.48390	−	5.52930i	0.447432	−	0.381558i
$211$	9.44995	+	20.6925i	0.650561	+	1.42453i	0.891062	+	0.453882i	$0.149961\pi$
$211$	9.44995	+	20.6925i	0.650561	+	1.42453i	−0.240501	+	0.970649i	$0.577312\pi$
$212$	4.23217	+	1.24268i	0.290667	+	0.0853475i
$213$	3.75585	+	27.6720i	0.257347	+	1.89606i
$214$	11.6138	+	10.0634i	0.793903	+	0.687921i
$215$	11.2461	+	1.61695i	0.766980	+	0.110275i
$216$	4.03888	+	9.42881i	0.274811	+	0.641549i
$217$	3.36398	−	2.91490i	0.228362	−	0.197877i
$218$	18.9718	−	12.1924i	1.28493	−	0.825776i
$219$	18.3436	+	8.55296i	1.23955	+	0.577955i
$220$	5.42129	+	6.25650i	0.365503	+	0.421813i
$221$	13.6858	−	4.01850i	0.920605	−	0.270314i
$222$	21.9671	−	9.82312i	1.47433	−	0.659285i
$223$	−9.79326	+	11.3020i	−0.655805	+	0.756839i	−0.982086	−	0.188433i	$-0.939659\pi$
$223$	−9.79326	+	11.3020i	−0.655805	+	0.756839i	0.326281	+	0.945273i	$0.394204\pi$
$224$	−1.83017	+	4.00752i	−0.122283	+	0.267763i
$225$	7.13265	−	7.97352i	0.475510	−	0.531568i
$226$	−29.6782	+	13.5536i	−1.97416	+	0.901569i
$227$	−2.35620	−	16.3877i	−0.156387	−	1.08769i	−0.905223	−	0.424937i	$-0.860296\pi$
$227$	−2.35620	−	16.3877i	−0.156387	−	1.08769i	0.748836	−	0.662755i	$-0.230613\pi$
$228$	−6.66212	−	0.0526088i	−0.441210	−	0.00348410i
$229$			11.8955i			0.786074i	0.919523	+	0.393037i	$0.128576\pi$
$229$			11.8955i			0.786074i	−0.919523	+	0.393037i	$0.871424\pi$
$230$	23.4997	+	2.11429i	1.54953	+	0.139412i
$231$	5.01695	−	3.16850i	0.330091	−	0.208472i
$232$	−10.5917	−	6.80690i	−0.695382	−	0.446895i
$233$	−8.62653	+	1.24031i	−0.565143	+	0.0812553i	−0.418964	−	0.908003i	$-0.637607\pi$
$233$	−8.62653	+	1.24031i	−0.565143	+	0.0812553i	−0.146179	+	0.989258i	$0.546698\pi$
$234$	−0.375717	+	23.7880i	−0.0245614	+	1.55507i
$235$	2.10682	−	7.17516i	0.137434	−	0.468056i
$236$	0.604060	+	0.275865i	0.0393210	+	0.0179573i
$237$	−0.336437	+	2.21562i	−0.0218539	+	0.143920i
$238$	−0.723277	+	5.03050i	−0.0468831	+	0.326079i
$239$	−6.40222	−	21.8040i	−0.414125	−	1.41038i	−0.857703	−	0.514146i	$-0.828109\pi$
$239$	−6.40222	−	21.8040i	−0.414125	−	1.41038i	0.443578	−	0.896236i	$-0.353709\pi$
$240$	−7.28823	+	24.1153i	−0.470453	+	1.55664i
$241$	−7.44793	−	11.5892i	−0.479763	−	0.746526i	0.514030	−	0.857772i	$-0.328152\pi$
$241$	−7.44793	−	11.5892i	−0.479763	−	0.746526i	−0.993793	+	0.111246i	$0.964516\pi$
$242$	0.669227	+	1.04134i	0.0430195	+	0.0669397i
$243$	−14.4243	+	5.91092i	−0.925321	+	0.379186i
$244$	−0.285224	−	0.971385i	−0.0182596	−	0.0621865i
$245$	0.416525	−	2.89699i	0.0266108	−	0.185082i
$246$	23.9899	+	3.64280i	1.52954	+	0.232256i
$247$	19.9925	+	9.13028i	1.27209	+	0.580946i
$248$	−2.47554	+	8.43091i	−0.157197	+	0.535363i
$249$	2.11251	−	3.23075i	0.133875	−	0.204740i
$250$	−6.98288	+	1.00399i	−0.441636	+	0.0634977i
$251$	13.5505	+	8.70838i	0.855300	+	0.549668i	0.893224	−	0.449613i	$-0.148438\pi$
$251$	13.5505	+	8.70838i	0.855300	+	0.549668i	−0.0379235	+	0.999281i	$0.512074\pi$
$252$	−2.23658	−	1.06441i	−0.140891	−	0.0670518i
$253$	15.9876	+	3.78606i	1.00513	+	0.238027i
$254$		−	11.0697i		−	0.694575i
$255$	−0.121026	+	15.3262i	−0.00757895	+	0.959761i
$256$	−2.40558	−	16.7312i	−0.150349	−	1.04570i
$257$	−21.5756	+	9.85326i	−1.34585	+	0.614629i	−0.952438	−	0.304733i	$-0.901433\pi$
$257$	−21.5756	+	9.85326i	−1.34585	+	0.614629i	−0.393413	+	0.919362i	$0.628706\pi$
$258$	−3.09855	−	10.8695i	−0.192907	−	0.676705i
$259$	3.43335	−	7.51800i	0.213338	−	0.467146i
$260$	−7.46564	+	8.61581i	−0.463000	+	0.534330i
$261$	10.5975	−	15.9311i	0.655969	−	0.986112i
$262$	12.6447	−	3.71280i	0.781189	−	0.229378i
$263$	18.5457	+	21.4029i	1.14358	+	1.31976i	0.940185	+	0.340665i	$0.110652\pi$
$263$	18.5457	+	21.4029i	1.14358	+	1.31976i	0.203395	+	0.979097i	$0.434802\pi$
$264$	−4.94993	+	10.6162i	−0.304647	+	0.653380i
$265$	13.1536	−	8.45329i	0.808018	−	0.519282i
$266$	−5.91843	+	5.12835i	−0.362882	+	0.314439i
$267$	0.770711	+	0.678554i	0.0471667	+	0.0415268i
$268$	6.50676	+	0.935530i	0.397463	+	0.0571466i
$269$	4.73560	+	4.10342i	0.288735	+	0.250190i	0.787169	−	0.616737i	$-0.211546\pi$
$269$	4.73560	+	4.10342i	0.288735	+	0.250190i	−0.498434	+	0.866928i	$0.666091\pi$
$270$	−24.3512	−	7.78126i	−1.48196	−	0.473552i
$271$	−20.4300	−	5.99880i	−1.24104	−	0.364401i	−0.405632	−	0.914037i	$-0.632948\pi$
$271$	−20.4300	−	5.99880i	−1.24104	−	0.364401i	−0.835405	+	0.549636i	$0.814767\pi$
$272$	−6.24165	−	13.6673i	−0.378455	−	0.828702i
$273$	5.30215	+	6.21754i	0.320901	+	0.376303i
$274$	9.25807	−	14.4058i	0.559301	−	0.870289i
$275$	12.2168			0.736700
$276$	−2.22742	−	6.48657i	−0.134075	−	0.390446i
$277$	10.6272			0.638524			0.319262	−	0.947666i	$-0.396565\pi$
$277$	10.6272			0.638524			0.319262	+	0.947666i	$0.396565\pi$
$278$	−5.69004	+	8.85387i	−0.341266	+	0.531020i
$279$	−12.7516	−	3.96400i	−0.763420	−	0.237319i
$280$	2.40010	+	5.25549i	0.143434	+	0.314076i
$281$	−16.3748	−	4.80807i	−0.976838	−	0.286825i	−0.245919	−	0.969290i	$-0.579090\pi$
$281$	−16.3748	−	4.80807i	−0.976838	−	0.286825i	−0.730918	+	0.682465i	$0.760908\pi$
$282$	−7.37148	+	1.00051i	−0.438965	+	0.0595796i
$283$	10.6056	+	9.18979i	0.630436	+	0.546276i	0.910397	−	0.413735i	$-0.135776\pi$
$283$	10.6056	+	9.18979i	0.630436	+	0.546276i	−0.279961	+	0.960011i	$0.590322\pi$
$284$	13.1764	+	1.89448i	0.781875	+	0.112417i
$285$	−15.6062	+	17.7257i	−0.924430	+	1.04998i
$286$	−20.5322	+	17.7913i	−1.21410	+	1.05202i
$287$	7.01108	−	4.50575i	0.413851	−	0.265966i
$288$	13.1105	−	1.67413i	0.772542	−	0.0986490i
$289$	5.14659	+	5.93948i	0.302741	+	0.349381i
$290$	30.1075	−	8.84037i	1.76798	−	0.519124i
$291$	−8.23501	−	18.4156i	−0.482745	−	1.07954i
$292$	6.31809	−	7.29147i	0.369738	−	0.426701i
$293$	3.62499	−	7.93763i	0.211774	−	0.463721i	−0.773698	−	0.633554i	$-0.781595\pi$
$293$	3.62499	−	7.93763i	0.211774	−	0.463721i	0.985473	+	0.169833i	$0.0543227\pi$
$294$	−2.79997	+	0.798185i	−0.163298	+	0.0465511i
$295$	2.14129	−	0.977895i	0.124671	−	0.0569352i
$296$	2.32190	+	16.1492i	0.134958	+	0.938652i
$297$	−16.0128	−	7.77637i	−0.929158	−	0.451231i
$298$			2.31707i			0.134224i
$299$	−2.02743	+	22.5344i	−0.117250	+	1.30320i
$300$	−2.72315	−	4.31179i	−0.157221	−	0.248941i
$301$	−3.26574	−	2.09877i	−0.188234	−	0.120971i
$302$	−20.5347	+	2.95244i	−1.18164	+	0.169894i
$303$	−15.0881	−	9.86572i	−0.866787	−	0.566771i
$304$	6.52272	−	22.2143i	0.374103	−	1.27408i
$305$	−3.26445	−	1.49083i	−0.186922	−	0.0853645i
$306$	13.9672	−	6.11389i	0.798450	−	0.349508i
$307$	2.36668	−	16.4606i	0.135074	−	0.939457i	−0.803728	−	0.594998i	$-0.797153\pi$
$307$	2.36668	−	16.4606i	0.135074	−	0.939457i	0.938801	−	0.344460i	$-0.111938\pi$
$308$	−0.796892	−	2.71397i	−0.0454072	−	0.154643i
$309$	−16.3840	−	4.95165i	−0.932056	−	0.281690i
$310$	−11.8395	−	18.4227i	−0.672440	−	1.04634i
$311$	−4.69019	−	7.29808i	−0.265956	−	0.413836i	0.682431	−	0.730950i	$-0.260923\pi$
$311$	−4.69019	−	7.29808i	−0.265956	−	0.413836i	−0.948387	+	0.317114i	$0.897286\pi$
$312$	−15.4408	−	4.66658i	−0.874163	−	0.264193i
$313$	9.17456	+	31.2457i	0.518577	+	1.76611i	0.634576	+	0.772860i	$0.281175\pi$
$313$	9.17456	+	31.2457i	0.518577	+	1.76611i	−0.116000	+	0.993249i	$0.537007\pi$
$314$	−4.89139	+	34.0204i	−0.276037	+	1.91988i
$315$	−8.04350	+	3.52090i	−0.453200	+	0.198380i
$316$	0.971732	+	0.443775i	0.0546642	+	0.0249643i
$317$	−7.90353	+	26.9169i	−0.443906	+	1.51181i	0.369010	+	0.929426i	$0.379697\pi$
$317$	−7.90353	+	26.9169i	−0.443906	+	1.51181i	−0.812916	+	0.582381i	$0.802121\pi$
$318$	−13.0182	−	8.51227i	−0.730022	−	0.477344i
$319$	21.6276	−	3.10957i	1.21091	−	0.174103i
$320$	−6.23781	−	4.00880i	−0.348704	−	0.224098i
$321$	−8.45520	−	13.3878i	−0.471923	−	0.747235i
$322$	−7.00353	−	3.99256i	−0.390291	−	0.222497i
$323$		−	14.0853i		−	0.783725i
$324$	0.824707	+	7.38493i	0.0458171	+	0.410274i
$325$	2.39426	+	16.6525i	0.132810	+	0.923713i
$326$	25.4450	−	11.6204i	1.40927	−	0.643592i
$327$	−22.3469	+	6.37041i	−1.23579	+	0.352284i
$328$	−6.83435	+	14.9651i	−0.377364	+	0.826312i
$329$	−1.67320	+	1.93098i	−0.0922465	+	0.106458i
$330$	−11.9171	−	26.6498i	−0.656016	−	1.46702i
$331$	22.1392	−	6.50065i	1.21688	−	0.357308i	0.390595	−	0.920562i	$-0.372269\pi$
$331$	22.1392	−	6.50065i	1.21688	−	0.357308i	0.826283	+	0.563255i	$0.190451\pi$
$332$	−1.20499	−	1.39063i	−0.0661323	−	0.0763208i
$333$	−24.5949	+	3.14062i	−1.34779	+	0.172105i
$334$	−25.9285	+	16.6632i	−1.41874	+	0.911771i
$335$	17.6109	−	15.2599i	0.962185	−	0.833738i
$336$	5.68797	−	6.46048i	0.310304	−	0.352448i
$337$	1.14400	+	0.164482i	0.0623176	+	0.00895991i	0.173403	−	0.984851i	$-0.444524\pi$
$337$	1.14400	+	0.164482i	0.0623176	+	0.00895991i	−0.111086	+	0.993811i	$0.535433\pi$
$338$	−11.7598	−	10.1900i	−0.639651	−	0.554260i
$339$	33.3126	−	4.52144i	1.80929	−	0.245571i
$340$	7.01009	+	2.05835i	0.380175	+	0.111630i
$341$	−6.33468	−	13.8710i	−0.343042	−	0.751158i
$342$	22.4346	+	6.97409i	1.21313	+	0.377115i
$343$	−0.540641	+	0.841254i	−0.0291919	+	0.0454234i
$344$	7.66324			0.413174
$345$	−22.5482	−	9.09047i	−1.21396	−	0.489415i
$346$	−21.0276			−1.13045
$347$	−4.94109	+	7.68849i	−0.265252	+	0.412740i	−0.948174	−	0.317751i	$-0.897072\pi$
$347$	−4.94109	+	7.68849i	−0.265252	+	0.412740i	0.682923	+	0.730491i	$0.260709\pi$
$348$	−5.91833	−	6.94009i	−0.317256	−	0.372028i
$349$	14.2487	+	31.2002i	0.762714	+	1.67011i	0.742069	+	0.670324i	$0.233845\pi$
$349$	14.2487	+	31.2002i	0.762714	+	1.67011i	0.0206450	+	0.999787i	$0.493428\pi$
$350$	−5.75163	−	1.68883i	−0.307437	−	0.0902718i
$351$	7.46160	−	23.3508i	0.398271	−	1.24637i
$352$	11.4066	+	9.88384i	0.607972	+	0.526810i
$353$	−11.4803	−	1.65062i	−0.611037	−	0.0878539i	−0.170153	−	0.985418i	$-0.554426\pi$
$353$	−11.4803	−	1.65062i	−0.611037	−	0.0878539i	−0.440885	+	0.897564i	$0.645335\pi$
$354$	−1.75760	−	1.54744i	−0.0934156	−	0.0822456i
$355$	35.6626	−	30.9018i	1.89277	−	1.64010i
$356$	0.411785	−	0.264638i	0.0218246	−	0.0140258i
$357$	2.21294	−	4.74613i	0.117121	−	0.251192i
$358$	−6.46075	−	7.45610i	−0.341461	−	0.394067i
$359$	−8.61197	+	2.52870i	−0.454523	+	0.133460i	−0.500977	−	0.865461i	$-0.667026\pi$
$359$	−8.61197	+	2.52870i	−0.454523	+	0.133460i	0.0464546	+	0.998920i	$0.485208\pi$
$360$	9.59993	−	14.4315i	0.505961	−	0.760606i
$361$	1.77074	−	2.04354i	0.0931967	−	0.107555i
$362$	4.19979	−	9.19626i	0.220736	−	0.483345i
$363$	−0.349663	−	1.22659i	−0.0183525	−	0.0643794i
$364$	3.54318	−	1.61812i	0.185713	−	0.0848123i
$365$	−4.86724	−	33.8524i	−0.254763	−	1.77191i
$366$	−0.0281907	+	3.56993i	−0.00147355	+	0.186603i
$367$			15.8552i			0.827632i	0.910360	+	0.413816i	$0.135804\pi$
$367$			15.8552i			0.827632i	−0.910360	+	0.413816i	$0.864196\pi$
$368$	23.7998	−	1.26426i	1.24065	−	0.0659039i
$369$	−22.5760	−	10.7442i	−1.17526	−	0.559320i
$370$	−34.2069	−	21.9834i	−1.77833	−	1.14286i
$371$	−5.28790	+	0.760285i	−0.274534	+	0.0394720i
$372$	−3.48362	+	5.32764i	−0.180617	+	0.276225i
$373$	5.69970	−	19.4114i	0.295119	−	1.00508i	−0.669801	−	0.742541i	$-0.733620\pi$
$373$	5.69970	−	19.4114i	0.295119	−	1.00508i	0.964920	−	0.262544i	$-0.0845614\pi$
$374$	15.8375	+	7.23276i	0.818939	+	0.373997i
$375$	7.18669	+	1.09128i	0.371119	+	0.0563535i
$376$	0.717804	−	4.99244i	0.0370179	−	0.257465i
$377$	8.47720	+	28.8707i	0.436598	+	1.48692i
$378$	6.46380	+	5.87468i	0.332462	+	0.302161i
$379$	0.158524	+	0.246669i	0.00814286	+	0.0126705i	0.845301	−	0.534290i	$-0.179421\pi$
$379$	0.158524	+	0.246669i	0.00814286	+	0.0126705i	−0.837158	+	0.546961i	$0.815785\pi$
$380$	6.08646	+	9.47072i	0.312229	+	0.485838i
$381$	−3.29979	+	10.9184i	−0.169054	+	0.559365i
$382$	10.8645	+	37.0012i	0.555879	+	1.89315i
$383$	0.881887	−	6.13366i	0.0450623	−	0.313415i	−0.954807	−	0.297228i	$-0.903938\pi$
$383$	0.881887	−	6.13366i	0.0450623	−	0.313415i	0.999869	−	0.0161877i	$-0.00515294\pi$
$384$	−3.39854	+	22.3813i	−0.173431	+	1.14214i
$385$	−9.12061	−	4.16524i	−0.464829	−	0.212280i
$386$	8.04795	−	27.4088i	0.409630	−	1.39507i
$387$	−0.183919	+	11.6445i	−0.00934911	+	0.591925i
$388$	−9.51836	+	1.36853i	−0.483222	+	0.0694768i
$389$	5.62702	+	3.61627i	0.285301	+	0.183352i	0.675462	−	0.737395i	$-0.263944\pi$
$389$	5.62702	+	3.61627i	0.285301	+	0.183352i	−0.390161	+	0.920747i	$0.627581\pi$
$390$	33.9903	−	21.4669i	1.72116	−	1.08702i
$391$	13.6761	−	4.81728i	0.691630	−	0.243620i
$392$		−	1.97404i		−	0.0997043i
$393$	−13.5785	−	0.107226i	−0.684947	−	0.00540882i
$394$	−5.23363	−	36.4007i	−0.263666	−	1.83384i
$395$	3.44462	−	1.57311i	0.173318	−	0.0791516i
$396$	−5.65749	+	6.32445i	−0.284299	+	0.317816i
$397$	0.517816	−	1.13386i	0.0259884	−	0.0569067i	−0.896193	−	0.443665i	$-0.853678\pi$
$397$	0.517816	−	1.13386i	0.0259884	−	0.0569067i	0.922181	+	0.386758i	$0.126405\pi$
$398$	8.39467	−	9.68797i	0.420787	−	0.485614i
$399$	7.36624	−	3.29400i	0.368773	−	0.164906i
$400$	17.0041	−	4.99285i	0.850204	−	0.249643i
$401$	−19.0015	−	21.9290i	−0.948892	−	1.09508i	−0.995366	−	0.0961602i	$-0.969344\pi$
$401$	−19.0015	−	21.9290i	−0.948892	−	1.09508i	0.0464739	−	0.998920i	$-0.485202\pi$
$402$	−21.0095	−	9.79594i	−1.04786	−	0.488577i
$403$	17.6658	−	11.3531i	0.879998	−	0.565541i
$404$	−6.49445	+	5.62747i	−0.323111	+	0.279977i
$405$	21.6987	+	14.9338i	1.07822	+	0.742065i
$406$	−10.6121	−	1.52578i	−0.526667	−	0.0757233i
$407$	−21.3984	−	18.5418i	−1.06068	−	0.919085i
$408$	1.39033	+	10.2435i	0.0688314	+	0.507130i
$409$	−24.0779	−	7.06990i	−1.19057	−	0.349584i	−0.374332	−	0.927295i	$-0.622128\pi$
$409$	−24.0779	−	7.06990i	−1.19057	−	0.349584i	−0.816242	+	0.577711i	$0.803946\pi$
$410$	−17.0330	−	37.2970i	−0.841198	−	1.84197i
$411$	−13.4258	+	11.4491i	−0.662244	+	0.564744i
$412$	−4.41108	+	6.86377i	−0.217318	+	0.338154i
$413$	−0.804302			−0.0395771
$414$	0.901342	+	24.1681i	0.0442985	+	1.18780i
$415$	−6.52273			−0.320188
$416$	−11.2370	+	17.4851i	−0.550939	+	0.857278i
$417$	8.25152	−	7.03667i	0.404079	−	0.344587i
$418$	11.1450	+	24.4040i	0.545117	+	1.19364i
$419$	−4.34234	−	1.27503i	−0.212137	−	0.0622891i	0.173937	−	0.984757i	$-0.444351\pi$
$419$	−4.34234	−	1.27503i	−0.212137	−	0.0622891i	−0.386074	+	0.922468i	$0.626169\pi$
$420$	0.562925	+	4.14747i	0.0274679	+	0.202376i
$421$	2.97674	+	2.57936i	0.145077	+	0.125710i	0.724376	−	0.689405i	$-0.242128\pi$
$421$	2.97674	+	2.57936i	0.145077	+	0.125710i	−0.579299	+	0.815115i	$0.696674\pi$
$422$	−37.8498	−	5.44198i	−1.84250	−	0.264911i
$423$	7.56895	+	1.21055i	0.368015	+	0.0588588i
$424$	7.97005	−	6.90609i	0.387060	−	0.335389i
$425$	9.07010	−	5.82900i	0.439965	−	0.282748i
$426$	−42.5449	−	19.8371i	−2.06131	−	0.961110i
$427$	0.802977	+	0.926685i	0.0388588	+	0.0448454i
$428$	−7.24227	+	2.12652i	−0.350068	+	0.102789i
$429$	25.5550	−	11.4276i	1.23381	−	0.551727i
$430$	−12.5070	+	14.4339i	−0.603143	+	0.696064i
$431$	3.29944	−	7.22477i	0.158929	−	0.348005i	−0.813370	−	0.581746i	$-0.802370\pi$
$431$	3.29944	−	7.22477i	0.158929	−	0.348005i	0.972299	+	0.233741i	$0.0750969\pi$
$432$	−25.4657	−	4.27939i	−1.22522	−	0.205892i
$433$	−30.6346	+	13.9904i	−1.47221	+	0.672334i	−0.980155	−	0.198233i	$-0.936480\pi$
$433$	−30.6346	+	13.9904i	−1.47221	+	0.672334i	−0.492050	+	0.870567i	$0.663752\pi$
$434$	1.06484	+	7.40613i	0.0511140	+	0.355506i
$435$	−32.3312	−	0.255310i	−1.55016	−	0.0122412i
$436$			11.0769i			0.530487i
$437$	20.7873	+	8.19031i	0.994390	+	0.391796i
$438$	−28.7656	+	18.1672i	−1.37447	+	0.868061i
$439$	−19.2124	−	12.3471i	−0.916959	−	0.589294i	−0.00518494	−	0.999987i	$-0.501650\pi$
$439$	−19.2124	−	12.3471i	−0.916959	−	0.589294i	−0.911774	+	0.410693i	$0.865287\pi$
$440$	19.5917	−	2.81686i	0.933997	−	0.134289i
$441$	2.99963	+	0.0473773i	0.142839	+	0.00225606i
$442$	−6.75497	+	23.0053i	−0.321301	+	1.09425i
$443$	21.8199	+	9.96481i	1.03669	+	0.473442i	0.859716	−	0.510772i	$-0.170641\pi$
$443$	21.8199	+	9.96481i	1.03669	+	0.473442i	0.176978	+	0.984215i	$0.443368\pi$
$444$	−1.77439	+	11.6854i	−0.0842090	+	0.554563i
$445$	0.246939	−	1.71750i	0.0117060	−	0.0814171i
$446$	−7.08230	−	24.1201i	−0.335357	−	1.14212i
$447$	0.690699	−	2.28539i	0.0326690	−	0.108095i
$448$	1.36969	+	2.13128i	0.0647119	+	0.100694i
$449$	2.81787	+	4.38469i	0.132983	+	0.206926i	0.901359	−	0.433073i	$-0.142571\pi$
$449$	2.81787	+	4.38469i	0.132983	+	0.206926i	−0.768375	+	0.640000i	$0.778935\pi$
$450$	4.79336	+	17.3327i	0.225961	+	0.817074i
$451$	−8.04382	−	27.3947i	−0.378769	−	1.28997i
$452$	2.28064	−	15.8622i	0.107273	−	0.746097i
$453$	21.1341	+	3.20915i	0.992965	+	0.150779i
$454$	25.3155	+	11.5612i	1.18812	+	0.542594i
$455$	3.89009	−	13.2484i	0.182370	−	0.621096i
$456$	−8.71739	+	13.3319i	−0.408229	+	0.624322i
$457$	−38.8924	+	5.59189i	−1.81931	+	0.261577i	−0.965761	−	0.259433i	$-0.916464\pi$
$457$	−38.8924	+	5.59189i	−1.81931	+	0.261577i	−0.853550	+	0.521011i	$0.825555\pi$
$458$	−16.8216	−	10.8106i	−0.786022	−	0.505146i
$459$	−15.5987	+	1.86680i	−0.728086	+	0.0871349i
$460$	−7.11397	+	9.14871i	−0.331691	+	0.426561i
$461$			24.3222i			1.13280i	0.824131	+	0.566400i	$0.191664\pi$
$461$			24.3222i			1.13280i	−0.824131	+	0.566400i	$0.808336\pi$
$462$	−0.0787625	+	9.97409i	−0.00366436	+	0.464037i
$463$	1.85730	+	12.9178i	0.0863161	+	0.600342i	0.986367	+	0.164558i	$0.0526197\pi$
$463$	1.85730	+	12.9178i	0.0863161	+	0.600342i	−0.900051	+	0.435784i	$0.856471\pi$
$464$	28.8317	−	13.1670i	1.33848	−	0.611263i
$465$	6.18601	+	21.7001i	0.286869	+	1.00632i
$466$	6.08584	−	13.3261i	0.281921	−	0.617321i
$467$	−2.51555	+	2.90310i	−0.116406	+	0.134340i	−0.810962	−	0.585099i	$-0.801056\pi$
$467$	−2.51555	+	2.90310i	−0.116406	+	0.134340i	0.694556	+	0.719439i	$0.255601\pi$
$468$	−9.72950	−	6.47214i	−0.449746	−	0.299175i
$469$	−7.63931	+	2.24310i	−0.352750	+	0.103577i
$470$	8.23185	+	9.50007i	0.379707	+	0.438205i
$471$	14.9657	−	32.0972i	0.689585	−	1.47896i
$472$	1.33568	−	0.858390i	0.0614797	−	0.0395106i
$473$	−10.0508	+	8.70906i	−0.462136	+	0.400443i
$474$	−2.82740	−	2.48932i	−0.129867	−	0.114338i
$475$	16.4443	+	2.36434i	0.754518	+	0.108483i
$476$	−1.88655	−	1.63471i	−0.0864700	−	0.0749267i
$477$	10.3027	+	12.2765i	0.471730	+	0.562103i
$478$	36.6517	+	10.7619i	1.67641	+	0.492239i
$479$	−12.5135	−	27.4008i	−0.571758	−	1.25198i	−0.945856	−	0.324587i	$-0.894775\pi$
$479$	−12.5135	−	27.4008i	−0.571758	−	1.25198i	0.374097	−	0.927389i	$-0.377953\pi$
$480$	−14.4917	−	16.9937i	−0.661454	−	0.775651i
$481$	21.0803	−	32.8016i	0.961180	−	1.49563i
$482$	23.1572			1.05478
$483$	5.71763	+	6.02567i	0.260161	+	0.274178i
$484$	−0.607996			−0.0276362
$485$	−18.4293	+	28.6766i	−0.836833	+	1.30214i
$486$	4.75006	−	25.7695i	0.215467	−	1.16893i
$487$	1.06926	+	2.34136i	0.0484530	+	0.106097i	0.932310	−	0.361659i	$-0.117790\pi$
$487$	1.06926	+	2.34136i	0.0484530	+	0.106097i	−0.883857	+	0.467757i	$0.845062\pi$
$488$	−2.32248	−	0.681943i	−0.105134	−	0.0308701i
$489$	−28.5611	+	3.87653i	−1.29158	+	0.175303i
$490$	3.71816	+	3.22180i	0.167969	+	0.145546i
$491$	18.3792	+	2.64253i	0.829441	+	0.119256i	0.543941	−	0.839123i	$-0.316931\pi$
$491$	18.3792	+	2.64253i	0.829441	+	0.119256i	0.285500	+	0.958379i	$0.407840\pi$
$492$	−7.87571	+	8.94534i	−0.355064	+	0.403287i
$493$	14.5733	−	12.6278i	0.656347	−	0.568728i
$494$	−31.0805	+	19.9742i	−1.39838	+	0.898682i
$495$	3.81011	+	29.8378i	0.171252	+	1.34111i
$496$	−14.4859	−	16.7176i	−0.650437	−	0.750644i
$497$	−15.4698	+	4.54236i	−0.693918	+	0.203753i
$498$	2.64881	+	5.92344i	0.118696	+	0.265436i
$499$	−8.78014	+	10.1328i	−0.393053	+	0.453607i	−0.917441	−	0.397872i	$-0.869749\pi$
$499$	−8.78014	+	10.1328i	−0.393053	+	0.453607i	0.524388	+	0.851479i	$0.324294\pi$
$500$	1.43945	−	3.15195i	0.0643741	−	0.140960i
$501$	30.5412	−	8.70634i	1.36448	−	0.388970i
$502$	−24.6294	+	11.2479i	−1.09926	+	0.502016i
$503$	2.45017	+	17.0413i	0.109248	+	0.759834i	0.968631	+	0.248503i	$0.0799385\pi$
$503$	2.45017	+	17.0413i	0.109248	+	0.759834i	−0.859384	+	0.511332i	$0.829152\pi$
$504$	−5.03196	+	3.12267i	−0.224141	+	0.139095i
$505$			30.4621i			1.35555i
$506$	−19.8834	+	19.1676i	−0.883926	+	0.852103i
$507$	8.56151	+	13.5562i	0.380230	+	0.602050i
$508$	4.57404	+	2.93955i	0.202940	+	0.130422i
$509$	0.0363355	−	0.00522426i	0.00161054	−	0.000231561i	−0.141510	−	0.989937i	$-0.545196\pi$
$509$	0.0363355	−	0.00522426i	0.00161054	−	0.000231561i	0.143120	+	0.989705i	$0.454286\pi$
$510$	−21.5630	−	14.0995i	−0.954827	−	0.624338i
$511$	−3.29214	+	11.2120i	−0.145636	+	0.495990i
$512$	2.06838	+	0.944598i	0.0914104	+	0.0417457i
$513$	−20.0490	−	13.5663i	−0.885185	−	0.598968i
$514$	5.67423	−	39.4651i	0.250280	−	1.74073i
$515$	8.14832	+	27.7506i	0.359058	+	1.22284i
$516$	5.31412	+	1.60606i	0.233941	+	0.0707026i
$517$	4.73233	+	7.36365i	0.208128	+	0.323853i
$518$	7.51112	+	11.6875i	0.330019	+	0.513520i
$519$	20.7401	+	6.26816i	0.910390	+	0.275142i
$520$	7.67922	+	26.1530i	0.336756	+	1.14689i
$521$	4.62445	−	32.1638i	0.202601	−	1.40912i	−0.593927	−	0.804519i	$-0.702423\pi$
$521$	4.62445	−	32.1638i	0.202601	−	1.40912i	0.796528	−	0.604602i	$-0.206668\pi$
$522$	12.8975	+	29.4643i	0.564509	+	1.28962i
$523$	10.2717	+	4.69091i	0.449149	+	0.205119i	0.627130	−	0.778915i	$-0.284229\pi$
$523$	10.2717	+	4.69091i	0.449149	+	0.205119i	−0.177981	+	0.984034i	$0.556957\pi$
$524$	−1.82364	+	6.21074i	−0.0796660	+	0.271317i
$525$	5.16957	+	3.38026i	0.225618	+	0.147527i
$526$	−47.1207	+	6.77493i	−2.05456	+	0.295401i
$527$	−11.3213	−	7.27578i	−0.493165	−	0.316938i
$528$	−15.7462	−	24.9322i	−0.685265	−	1.08504i
$529$	−0.842960	+	22.9845i	−0.0366504	+	0.999328i
$530$			26.2831i			1.14166i
$531$	1.27230	+	2.05021i	0.0552129	+	0.0889717i
$532$	−0.547413	−	3.80734i	−0.0237334	−	0.165069i
$533$	35.7648	−	16.3332i	1.54915	−	0.707471i
$534$	−1.65998	+	0.473208i	−0.0718342	+	0.0204777i
$535$	−11.1150	+	24.3385i	−0.480545	+	1.05225i
$536$	10.2924	−	11.8781i	0.444566	−	0.513056i
$537$	4.14982	+	9.28007i	0.179078	+	0.400464i
$538$	−10.1064	+	2.96752i	−0.435720	+	0.127939i
$539$	2.24345	+	2.58908i	0.0966322	+	0.111519i
$540$	9.68167	−	7.99566i	0.416633	−	0.344078i
$541$	15.4168	−	9.90775i	0.662818	−	0.425967i	−0.165512	−	0.986208i	$-0.552928\pi$
$541$	15.4168	−	9.90775i	0.662818	−	0.425967i	0.828330	+	0.560240i	$0.189291\pi$
$542$	27.0498	−	23.4388i	1.16189	−	1.00678i
$543$	−6.88371	+	7.81861i	−0.295408	+	0.335529i
$544$	13.1844	+	1.89564i	0.565278	+	0.0812747i
$545$	29.6750	+	25.7136i	1.27114	+	1.10145i
$546$	−13.6109	+	1.84738i	−0.582494	+	0.0790605i
$547$	43.2348	+	12.6949i	1.84859	+	0.542794i	0.999903	+	0.0138950i	$0.00442305\pi$
$547$	43.2348	+	12.6949i	1.84859	+	0.542794i	0.848685	+	0.528899i	$0.177395\pi$
$548$	3.49406	+	7.65092i	0.149259	+	0.326831i
$549$	1.09197	−	3.51273i	0.0466043	−	0.149919i
$550$	−11.1026	+	17.2760i	−0.473417	+	0.736651i
$551$	29.7135			1.26584
$552$	−15.9260	−	3.90454i	−0.677856	−	0.166188i
$553$	−1.29385			−0.0550203
$554$	−9.65795	+	15.0281i	−0.410327	+	0.638482i
$555$	27.1861	+	31.8797i	1.15399	+	1.35322i
$556$	−2.14746	−	4.70228i	−0.0910726	−	0.199421i
$557$	−12.5045	−	3.67165i	−0.529832	−	0.155573i	0.00586524	−	0.999983i	$-0.498133\pi$
$557$	−12.5045	−	3.67165i	−0.529832	−	0.155573i	−0.535697	+	0.844410i	$0.679951\pi$
$558$	17.1942	−	14.4298i	0.727890	−	0.610864i
$559$	−13.8409	−	11.9932i	−0.585409	−	0.507260i
$560$	−14.3969	−	2.06996i	−0.608380	−	0.0874719i
$561$	−13.4650	−	11.8549i	−0.568492	−	0.500515i
$562$	21.6806	−	18.7863i	0.914540	−	0.792453i
$563$	1.27142	−	0.817089i	0.0535838	−	0.0344362i	−0.513575	−	0.858045i	$-0.671679\pi$
$563$	1.27142	−	0.817089i	0.0535838	−	0.0344362i	0.567158	+	0.823609i	$0.308043\pi$
$564$	1.54408	−	3.31160i	0.0650174	−	0.139444i
$565$	−37.2008	−	42.9320i	−1.56505	−	1.80616i
$566$	−22.6338	+	6.64588i	−0.951369	+	0.279347i
$567$	−4.62423	−	7.72117i	−0.194200	−	0.324259i
$568$	20.8425	−	24.0536i	0.874533	−	1.00926i
$569$	−0.226736	+	0.496482i	−0.00950526	+	0.0208136i	−0.914325	−	0.404981i	$-0.867278\pi$
$569$	−0.226736	+	0.496482i	−0.00950526	+	0.0208136i	0.904820	+	0.425795i	$0.140005\pi$
$570$	−10.8834	−	38.1781i	−0.455855	−	1.59911i
$571$	−10.2404	+	4.67665i	−0.428548	+	0.195712i	−0.617999	−	0.786179i	$-0.712057\pi$
$571$	−10.2404	+	4.67665i	−0.428548	+	0.195712i	0.189451	+	0.981890i	$0.439329\pi$
$572$	−1.89909	−	13.2084i	−0.0794048	−	0.552273i
$573$	0.313768	−	39.7340i	0.0131078	−	1.65991i
$574$			14.0093i			0.584738i
$575$	3.32845	+	16.7753i	0.138806	+	0.699577i
$576$	3.26610	−	6.86283i	0.136088	−	0.285951i
$577$	16.0105	+	10.2893i	0.666526	+	0.428350i	0.829672	−	0.558252i	$-0.188528\pi$
$577$	16.0105	+	10.2893i	0.666526	+	0.428350i	−0.163145	+	0.986602i	$0.552164\pi$
$578$	−13.0764	+	1.88010i	−0.543905	+	0.0782017i
$579$	−16.1083	+	24.6351i	−0.669437	+	1.02380i
$580$	−4.34217	+	14.7881i	−0.180299	+	0.614041i
$581$	2.02724	+	0.925807i	0.0841039	+	0.0384090i
$582$	33.5258	+	5.09081i	1.38969	+	0.211021i
$583$	−2.60462	+	18.1155i	−0.107872	+	0.750267i
$584$	−6.49884	−	22.1330i	−0.268924	−	0.915870i
$585$	−39.9247	+	11.0411i	−1.65068	+	0.456495i
$586$	7.93036	+	12.3399i	0.327600	+	0.509756i
$587$	0.682409	+	1.06185i	0.0281660	+	0.0438272i	0.855051	−	0.518544i	$-0.173526\pi$
$587$	0.682409	+	1.06185i	0.0281660	+	0.0438272i	−0.826885	+	0.562371i	$0.809889\pi$
$588$	0.413719	−	1.36891i	0.0170615	−	0.0564531i
$589$	−5.84228	−	19.8970i	−0.240727	−	0.819840i
$590$	−0.563144	+	3.91675i	−0.0231843	+	0.161250i
$591$	−5.68868	+	37.4632i	−0.234001	+	1.54103i
$592$	−37.3615	−	17.0624i	−1.53555	−	0.701261i
$593$	8.25926	−	28.1285i	0.339167	−	1.15510i	−0.596617	−	0.802526i	$-0.703489\pi$
$593$	8.25926	−	28.1285i	0.339167	−	1.15510i	0.935785	−	0.352572i	$-0.114693\pi$
$594$	25.5492	−	15.5769i	1.04829	−	0.639127i
$595$	−8.75877	+	1.25932i	−0.359075	+	0.0516271i
$596$	−0.957418	−	0.615295i	−0.0392174	−	0.0252035i
$597$	−11.1678	+	7.05313i	−0.457068	+	0.288666i
$598$	−30.0237	−	23.3462i	−1.22776	−	0.954699i
$599$		−	30.3114i		−	1.23849i	−0.785198	−	0.619244i	$-0.787439\pi$
$599$		−	30.3114i		−	1.23849i	0.785198	−	0.619244i	$-0.212561\pi$
$600$	−12.1925	−	0.0962809i	−0.497758	−	0.00393065i
$601$	0.602837	+	4.19282i	0.0245902	+	0.171029i	0.998416	−	0.0562683i	$-0.0179202\pi$
$601$	0.602837	+	4.19282i	0.0245902	+	0.171029i	−0.973825	+	0.227297i	$0.927011\pi$
$602$	5.93581	−	2.71079i	0.241926	−	0.110484i
$603$	17.8022	+	15.9248i	0.724960	+	0.648507i
$604$	4.23302	−	9.26902i	0.172239	−	0.377151i
$605$	−1.41138	+	1.62882i	−0.0573809	+	0.0662211i
$606$	27.6633	−	12.3704i	1.12375	−	0.502511i
$607$	17.2830	−	5.07475i	0.701496	−	0.205978i	0.0885140	−	0.996075i	$-0.471788\pi$
$607$	17.2830	−	5.07475i	0.701496	−	0.205978i	0.612981	+	0.790097i	$0.289970\pi$
$608$	13.4409	+	15.5116i	0.545100	+	0.629079i
$609$	10.0121	+	4.66829i	0.405713	+	0.189169i
$610$	5.07494	−	3.26147i	0.205478	−	0.132053i
$611$	−9.10980	+	7.89368i	−0.368543	+	0.319344i
$612$	−1.18270	+	7.39482i	−0.0478077	+	0.298918i
$613$	−44.9810	−	6.46730i	−1.81677	−	0.261212i	−0.851853	−	0.523780i	$-0.824521\pi$
$613$	−44.9810	−	6.46730i	−1.81677	−	0.261212i	−0.964913	+	0.262569i	$0.915430\pi$
$614$	21.1264	+	18.3062i	0.852594	+	0.738777i
$615$	5.68216	+	41.8645i	0.229127	+	1.68814i
$616$	−6.48882	−	1.90529i	−0.261442	−	0.0767664i
$617$	10.1008	+	22.1178i	0.406644	+	0.890427i	0.996553	+	0.0829572i	$0.0264365\pi$
$617$	10.1008	+	22.1178i	0.406644	+	0.890427i	−0.589909	+	0.807470i	$0.700836\pi$
$618$	21.8920	−	18.6689i	0.880627	−	0.750975i
$619$	−6.67397	+	10.3849i	−0.268250	+	0.417404i	−0.949079	−	0.315037i	$-0.897983\pi$
$619$	−6.67397	+	10.3849i	−0.268250	+	0.417404i	0.680830	+	0.732442i	$0.261619\pi$
$620$	10.7563			0.431982
$621$	6.31530	−	24.1064i	0.253424	−	0.967355i
$622$	14.5828			0.584716
$623$	−0.320521	+	0.498741i	−0.0128414	+	0.0199816i
$624$	30.8987	−	26.3496i	1.23694	−	1.05483i
$625$	−12.5096	−	27.3922i	−0.500384	−	1.09569i
$626$	−52.5229	−	15.4221i	−2.09924	−	0.616392i
$627$	−3.71793	−	27.3926i	−0.148480	−	1.09396i
$628$	−12.7584	−	11.0552i	−0.509116	−	0.441152i
$629$	−24.7337	−	3.55617i	−0.986197	−	0.141794i
$630$	2.33095	−	14.5743i	0.0928672	−	0.580652i
$631$	−22.9617	+	19.8965i	−0.914092	+	0.792065i	−0.978583	−	0.205853i	$-0.934003\pi$
$631$	−22.9617	+	19.8965i	−0.914092	+	0.792065i	0.0644909	+	0.997918i	$0.479458\pi$
$632$	2.14867	−	1.38086i	0.0854694	−	0.0549278i
$633$	35.7101	+	16.6503i	1.41935	+	0.661790i
$634$	−30.8811	−	35.6386i	−1.22644	−	1.41539i
$635$	18.4931	−	5.43007i	0.733876	−	0.215486i
$636$	6.97426	−	3.11872i	0.276547	−	0.123665i
$637$	−3.08945	+	3.56541i	−0.122408	+	0.141267i
$638$	−15.2578	+	33.4099i	−0.604062	+	1.32271i
$639$	36.0499	+	32.2482i	1.42611	+	1.27572i
$640$	34.7961	−	15.8908i	1.37544	−	0.628141i
$641$	1.07936	+	7.50711i	0.0426321	+	0.296513i	0.999972	+	0.00754702i	$0.00240231\pi$
$641$	1.07936	+	7.50711i	0.0426321	+	0.296513i	−0.957339	+	0.288966i	$0.906689\pi$
$642$	26.6161	+	0.210179i	1.05045	+	0.00829511i
$643$		−	29.2051i		−	1.15174i	−0.817543	−	0.575868i	$-0.804664\pi$
$643$		−	29.2051i		−	1.15174i	0.817543	−	0.575868i	$-0.195336\pi$
$644$	3.50952	−	1.83365i	0.138294	−	0.0722561i
$645$	16.6387	−	10.5083i	0.655147	−	0.413764i
$646$	19.9183	+	12.8007i	0.783673	+	0.503636i
$647$	−22.6280	+	3.25341i	−0.889598	+	0.127905i	−0.571935	−	0.820299i	$-0.693807\pi$
$647$	−22.6280	+	3.25341i	−0.889598	+	0.127905i	−0.317663	+	0.948204i	$0.602898\pi$
$648$	15.9197	+	7.88713i	0.625387	+	0.309836i
$649$	−0.776289	+	2.64380i	−0.0304720	+	0.103778i
$650$	−25.7245	−	11.7480i	−1.00900	−	0.460794i
$651$	1.15743	−	7.62230i	0.0453631	−	0.298741i
$652$	−1.95535	+	13.5997i	−0.0765773	+	0.532607i
$653$	10.8067	+	36.8044i	0.422900	+	1.44027i	0.845513	+	0.533955i	$0.179295\pi$
$653$	10.8067	+	36.8044i	0.422900	+	1.44027i	−0.422612	+	0.906311i	$0.638887\pi$
$654$	11.3003	−	37.3906i	0.441878	−	1.46209i
$655$	12.4053	+	19.3029i	0.484713	+	0.754229i
$656$	−22.3918	−	34.8423i	−0.874252	−	1.36036i
$657$	33.7878	−	9.34400i	1.31819	−	0.364544i
$658$	−1.21003	−	4.12097i	−0.0471718	−	0.160652i
$659$	−0.456631	+	3.17594i	−0.0177878	+	0.123717i	−0.996781	−	0.0801781i	$-0.974451\pi$
$659$	−0.456631	+	3.17594i	−0.0177878	+	0.123717i	0.978993	+	0.203895i	$0.0653602\pi$
$660$	14.1763	+	2.15264i	0.551813	+	0.0837914i
$661$	−21.9502	−	10.0243i	−0.853763	−	0.389901i	−0.0600521	−	0.998195i	$-0.519127\pi$
$661$	−21.9502	−	10.0243i	−0.853763	−	0.389901i	−0.793711	+	0.608295i	$0.791854\pi$
$662$	−10.9274	+	37.2152i	−0.424704	+	1.44641i
$663$	13.5203	−	20.6772i	0.525086	−	0.803036i
$664$	−4.35464	+	0.626103i	−0.168993	+	0.0242975i
$665$	−11.4706	−	7.37173i	−0.444812	−	0.285863i
$666$	17.9106	−	37.6344i	0.694023	−	1.45830i
$667$	10.1622	+	28.8503i	0.393484	+	1.11709i
$668$		−	15.1386i		−	0.585731i
$669$	−0.204537	+	25.9015i	−0.00790785	+	1.00141i
$670$	5.57458	+	38.7721i	0.215365	+	1.49790i
$671$	3.82109	−	1.74503i	0.147511	−	0.0673662i
$672$	2.09196	+	7.33845i	0.0806992	+	0.283087i
$673$	−0.384802	+	0.842600i	−0.0148330	+	0.0324798i	−0.916904	−	0.399109i	$-0.869320\pi$
$673$	−0.384802	+	0.842600i	−0.0148330	+	0.0324798i	0.902070	+	0.431589i	$0.142047\pi$
$674$	−1.27226	+	1.46827i	−0.0490057	+	0.0565556i
$675$	0.438924	−	18.5246i	0.0168942	−	0.713014i
$676$	7.33333	−	2.15326i	0.282051	−	0.0828177i
$677$	−7.87075	−	9.08334i	−0.302498	−	0.349101i	0.584067	−	0.811705i	$-0.301460\pi$
$677$	−7.87075	−	9.08334i	−0.302498	−	0.349101i	−0.886565	+	0.462604i	$0.846915\pi$
$678$	−23.8806	+	51.2171i	−0.917130	+	1.96698i
$679$	9.79798	−	6.29678i	0.376012	−	0.241648i
$680$	13.2014	−	11.4391i	0.506252	−	0.438670i
$681$	−21.5231	−	18.9495i	−0.824768	−	0.726147i
$682$	25.3722	+	3.64797i	0.971553	+	0.139688i
$683$	−15.2351	−	13.2012i	−0.582953	−	0.505132i	0.312720	−	0.949845i	$-0.398760\pi$
$683$	−15.2351	−	13.2012i	−0.582953	−	0.505132i	−0.895673	+	0.444714i	$0.853305\pi$
$684$	−8.83921	+	7.41809i	−0.337976	+	0.283638i
$685$	28.6079	+	8.40002i	1.09305	+	0.320948i
$686$	−0.698299	−	1.52906i	−0.0266612	−	0.0583798i
$687$	13.3691	+	15.6772i	0.510062	+	0.598122i
$688$	−10.4300	+	16.2295i	−0.397641	+	0.618742i
$689$	−25.2034			−0.960171
$690$	33.3468	−	23.6245i	1.26949	−	0.899368i
$691$	29.8259			1.13463			0.567316	−	0.823500i	$-0.307982\pi$
$691$	29.8259			1.13463			0.567316	+	0.823500i	$0.307982\pi$
$692$	5.58386	−	8.68866i	0.212267	−	0.330293i
$693$	3.05088	−	9.81425i	0.115894	−	0.372813i
$694$	−6.38198	−	13.9746i	−0.242256	−	0.530468i
$695$	−17.5825	−	5.16268i	−0.666941	−	0.195832i
$696$	−21.6091	+	2.93295i	−0.819092	+	0.111173i
$697$	−19.0428	−	16.5007i	−0.721299	−	0.625009i
$698$	−57.0700	−	8.20543i	−2.16013	−	0.310580i
$699$	−9.97506	+	11.3298i	−0.377291	+	0.428533i
$700$	2.22517	−	1.92812i	0.0841035	−	0.0728761i
$701$	−30.8828	+	19.8471i	−1.16643	+	0.749616i	−0.972843	−	0.231468i	$-0.925647\pi$
$701$	−30.8828	+	19.8471i	−1.16643	+	0.749616i	−0.193583	+	0.981084i	$0.562011\pi$
$702$	26.2397	+	31.7728i	0.990354	+	1.19919i
$703$	−25.2148	−	29.0994i	−0.950994	−	1.09751i
$704$	8.32766	−	2.44522i	0.313861	−	0.0921578i
$705$	−5.28742	−	11.8240i	−0.199136	−	0.445319i
$706$	12.7675	−	14.7345i	0.480512	−	0.554540i
$707$	4.32366	−	9.46749i	0.162608	−	0.356062i
$708$	1.10614	−	0.315325i	0.0415712	−	0.0118507i
$709$	9.93409	−	4.53675i	0.373083	−	0.170381i	−0.220045	−	0.975490i	$-0.570620\pi$
$709$	9.93409	−	4.53675i	0.373083	−	0.170381i	0.593127	+	0.805109i	$0.297893\pi$
$710$	11.2887	+	78.5147i	0.423658	+	2.94660i
$711$	2.04670	+	3.29811i	0.0767573	+	0.123689i
$712$		−	1.17032i		−	0.0438597i
$713$	17.3209	−	12.4775i	0.648671	−	0.467286i
$714$	4.70047	+	7.44264i	0.175911	+	0.278534i
$715$	−39.7939	−	25.5740i	−1.48821	−	0.956414i
$716$	4.79653	−	0.689637i	0.179255	−	0.0257729i
$717$	−32.9426	−	21.5404i	−1.23026	−	0.804441i
$718$	4.25067	−	14.4764i	0.158633	−	0.540256i
$719$	−33.1382	−	15.1337i	−1.23585	−	0.564392i	−0.313071	−	0.949730i	$-0.601358\pi$
$719$	−33.1382	−	15.1337i	−1.23585	−	0.564392i	−0.922776	+	0.385337i	$0.874085\pi$
$720$	17.4975	+	39.9730i	0.652093	+	1.48971i
$721$	1.40634	−	9.78132i	0.0523749	−	0.364275i
$722$	1.28056	+	4.36120i	0.0476576	+	0.162307i
$723$	−22.8406	−	6.90297i	−0.849451	−	0.256724i
$724$	2.68467	+	4.17743i	0.0997749	+	0.155253i
$725$	12.2965	+	19.1338i	0.456681	+	0.710610i
$726$	2.05232	+	0.620260i	0.0761687	+	0.0230200i
$727$	−9.48105	−	32.2895i	−0.351633	−	1.19755i	−0.925546	−	0.378635i	$-0.876393\pi$
$727$	−9.48105	−	32.2895i	−0.351633	−	1.19755i	0.573913	−	0.818916i	$-0.305425\pi$
$728$	1.32538	−	9.21820i	0.0491217	−	0.341649i
$729$	−12.3668	+	24.0013i	−0.458030	+	0.888937i
$730$	52.2946	+	23.8822i	1.93551	+	0.883919i
$731$	−3.30665	+	11.2614i	−0.122301	+	0.416518i
$732$	−1.46762	−	0.959642i	−0.0542448	−	0.0354694i
$733$	−19.0083	+	2.73298i	−0.702088	+	0.100945i	−0.484108	−	0.875008i	$-0.660856\pi$
$733$	−19.0083	+	2.73298i	−0.702088	+	0.100945i	−0.217980	+	0.975953i	$0.569947\pi$
$734$	−22.4211	−	14.4092i	−0.827577	−	0.531851i
$735$	−2.70693	−	4.28611i	−0.0998467	−	0.158096i
$736$	−10.4641	+	18.3555i	−0.385712	+	0.676594i
$737$			27.2759i			1.00472i
$738$	35.7106	−	22.1609i	1.31453	−	0.815752i
$739$	−6.03645	−	41.9844i	−0.222054	−	1.54442i	−0.730249	−	0.683181i	$-0.760596\pi$
$739$	−6.03645	−	41.9844i	−0.222054	−	1.54442i	0.508195	−	0.861242i	$-0.330313\pi$
$740$	18.1672	−	8.29669i	0.667840	−	0.304992i
$741$	36.6097	−	10.4363i	1.34489	−	0.383387i
$742$	3.73050	−	8.16867i	0.136951	−	0.299881i
$743$	−4.72608	+	5.45418i	−0.173383	+	0.200095i	−0.835790	−	0.549050i	$-0.814990\pi$
$743$	−4.72608	+	5.45418i	−0.173383	+	0.200095i	0.662407	+	0.749145i	$0.269535\pi$
$744$	6.21279	+	13.8934i	0.227772	+	0.509357i
$745$	−3.87090	+	1.13660i	−0.141819	+	0.0416418i
$746$	22.2702	+	25.7011i	0.815368	+	0.940985i
$747$	−0.846872	−	6.63205i	−0.0309854	−	0.242654i
$748$	−7.19424	+	4.62346i	−0.263047	+	0.169050i
$749$	6.90900	−	5.98669i	0.252449	−	0.218749i
$750$	−8.07446	+	9.17109i	−0.294838	+	0.334881i
$751$	51.8510	+	7.45505i	1.89207	+	0.272039i	0.987895	−	0.155123i	$-0.0495774\pi$
$751$	51.8510	+	7.45505i	1.89207	+	0.272039i	0.904175	+	0.427162i	$0.140487\pi$
$752$	9.59618	+	8.31514i	0.349937	+	0.303222i
$753$	27.6455	−	3.75226i	1.00746	−	0.136740i
$754$	−48.5307	−	14.2499i	−1.76738	−	0.518950i
$755$	−15.0053	−	32.8571i	−0.546100	−	1.19579i
$756$	−4.14389	+	1.11084i	−0.150712	+	0.0404009i
$757$	23.3134	−	36.2764i	0.847341	−	1.31849i	−0.0989233	−	0.995095i	$-0.531540\pi$
$757$	23.3134	−	36.2764i	0.847341	−	1.31849i	0.946265	−	0.323394i	$-0.104824\pi$
$758$	−0.492886			−0.0179024
$759$	25.3253	−	12.9784i	0.919250	−	0.471087i
$760$	26.9164			0.976362
$761$	6.53618	−	10.1705i	0.236936	−	0.368680i	−0.702340	−	0.711841i	$-0.747861\pi$
$761$	6.53618	−	10.1705i	0.236936	−	0.368680i	0.939276	+	0.343161i	$0.111498\pi$
$762$	−12.4410	−	14.5889i	−0.450691	−	0.528500i
$763$	−5.57320	−	12.2036i	−0.201764	−	0.441800i
$764$	−18.1741	−	5.33639i	−0.657516	−	0.193064i
$765$	17.0653	+	20.3346i	0.616996	+	0.735197i
$766$	7.87227	+	6.82136i	0.284437	+	0.246466i
$767$	−3.75585	−	0.540009i	−0.135616	−	0.0194986i
$768$	−21.9742	−	19.3466i	−0.792925	−	0.698112i
$769$	−16.2249	+	14.0590i	−0.585086	+	0.506979i	−0.896352	−	0.443343i	$-0.853792\pi$
$769$	−16.2249	+	14.0590i	−0.585086	+	0.506979i	0.311266	+	0.950323i	$0.399247\pi$
$770$	14.1789	−	9.11226i	0.510974	−	0.328383i
$771$	−17.3609	+	37.2342i	−0.625238	+	1.34096i
$772$	9.18827	+	10.6038i	0.330693	+	0.381640i
$773$	−15.7004	+	4.61007i	−0.564706	+	0.165813i	−0.551611	−	0.834102i	$-0.685987\pi$
$773$	−15.7004	+	4.61007i	−0.564706	+	0.165813i	−0.0130950	+	0.999914i	$0.504168\pi$
$774$	−16.2996	−	10.8426i	−0.585878	−	0.389730i
$775$	10.3948	−	11.9962i	0.373391	−	0.430916i
$776$	−9.55100	+	20.9138i	−0.342861	+	0.750761i
$777$	−3.92447	−	13.7667i	−0.140790	−	0.493879i
$778$	−10.2277	+	4.67082i	−0.366680	+	0.167457i
$779$	−5.52558	−	38.4313i	−0.197975	−	1.37694i
$780$	−0.155923	+	19.7454i	−0.00558295	+	0.706998i
$781$			55.2346i			1.97645i
$782$	−5.61661	+	23.7176i	−0.200850	+	0.848138i
$783$	−3.93810	−	32.9062i	−0.140736	−	1.17597i
$784$	4.18070	+	2.68677i	0.149311	+	0.0959561i
$785$	−59.2340	+	8.51656i	−2.11415	+	0.303969i
$786$	12.4918	−	19.1042i	0.445568	−	0.681425i
$787$	−11.7835	+	40.1310i	−0.420037	+	1.43051i	0.429539	+	0.903048i	$0.358676\pi$
$787$	−11.7835	+	40.1310i	−0.420037	+	1.43051i	−0.849576	+	0.527466i	$0.823142\pi$
$788$	16.4307	+	7.50363i	0.585318	+	0.267306i
$789$	48.4960	+	7.36399i	1.72650	+	0.262165i
$790$	−0.905911	+	6.30075i	−0.0322309	+	0.224171i
$791$	5.46826	+	18.6232i	0.194429	+	0.662164i
$792$	5.40774	+	19.5543i	0.192156	+	0.694832i
$793$	3.12748	+	4.86646i	0.111060	+	0.172813i
$794$	1.13282	+	1.76270i	0.0402023	+	0.0625559i
$795$	7.83478	−	25.9238i	0.277871	−	0.919421i
$796$	1.77390	+	6.04133i	0.0628741	+	0.214129i
$797$	1.95432	−	13.5926i	0.0692254	−	0.481473i	−0.925487	−	0.378778i	$-0.876344\pi$
$797$	1.95432	−	13.5926i	0.0692254	−	0.481473i	0.994713	−	0.102695i	$-0.0327466\pi$
$798$	−2.03632	+	13.4103i	−0.0720851	+	0.474721i
$799$	7.02684	+	3.20905i	0.248592	+	0.113528i
$800$	−4.42626	+	15.0744i	−0.156492	+	0.532962i
$801$	1.77834	+	0.0280878i	0.0628346	+	0.000992435i
$802$	48.2787	−	6.94144i	1.70478	−	0.245111i
$803$	33.6772	+	21.6430i	1.18844	+	0.763765i
$804$	9.62676	−	6.07987i	0.339510	−	0.214420i
$805$	3.23453	−	13.6586i	0.114002	−	0.481403i
$806$			35.2993i			1.24337i
$807$	10.8529	+	0.0857019i	0.382039	+	0.00301685i
$808$	2.92399	+	20.3368i	0.102866	+	0.715447i
$809$	−18.9718	+	8.66413i	−0.667013	+	0.304615i	−0.719993	−	0.693981i	$-0.755855\pi$
$809$	−18.9718	+	8.66413i	−0.667013	+	0.304615i	0.0529804	+	0.998596i	$0.483128\pi$
$810$	−40.8379	+	17.1128i	−1.43490	+	0.601282i
$811$	21.1454	−	46.3019i	0.742515	−	1.62588i	−0.0368585	−	0.999320i	$-0.511735\pi$
$811$	21.1454	−	46.3019i	0.742515	−	1.62588i	0.779373	−	0.626560i	$-0.215538\pi$
$812$	3.44848	−	3.97976i	0.121018	−	0.139662i
$813$	−33.6669	+	15.0550i	−1.18075	+	0.528003i
$814$	45.6672	−	13.4091i	1.60064	−	0.469989i
$815$	31.8947	+	36.8084i	1.11722	+	1.28934i
$816$	−23.5864	−	10.9974i	−0.825687	−	0.384987i
$817$	−15.2143	+	9.77764i	−0.532281	+	0.342076i
$818$	31.8796	−	27.6238i	1.11464	−	0.965845i
$819$	13.9755	+	2.23519i	0.488345	+	0.0781039i
$820$	19.9343	+	2.86612i	0.696137	+	0.100089i
$821$	−18.1351	−	15.7141i	−0.632918	−	0.548426i	0.278226	−	0.960516i	$-0.410254\pi$
$821$	−18.1351	−	15.7141i	−0.632918	−	0.548426i	−0.911143	+	0.412089i	$0.864799\pi$
$822$	−3.98911	−	29.3906i	−0.139136	−	1.02512i
$823$	−18.7613	−	5.50882i	−0.653978	−	0.192025i	−0.0621215	−	0.998069i	$-0.519787\pi$
$823$	−18.7613	−	5.50882i	−0.653978	−	0.192025i	−0.591857	+	0.806043i	$0.701605\pi$
$824$	8.10363	+	17.7445i	0.282303	+	0.618158i
$825$	16.1007	−	13.7302i	0.560553	−	0.478025i
$826$	0.730949	−	1.13738i	0.0254330	−	0.0395745i
$827$	4.00027			0.139103			0.0695515	−	0.997578i	$-0.477843\pi$
$827$	4.00027			0.139103			0.0695515	+	0.997578i	$0.477843\pi$
$828$	−10.2257	−	6.04538i	−0.355367	−	0.210092i
$829$	34.1424			1.18581			0.592907	−	0.805271i	$-0.297980\pi$
$829$	34.1424			1.18581			0.592907	+	0.805271i	$0.297980\pi$
$830$	5.92785	−	9.22391i	0.205759	−	0.320167i
$831$	14.0057	−	11.9437i	0.485851	−	0.414321i
$832$	4.96511	+	10.8721i	0.172134	+	0.376921i
$833$	2.90093	+	0.851790i	0.100511	+	0.0295128i
$834$	2.45172	+	18.0636i	0.0848961	+	0.625490i
$835$	−40.5564	−	35.1423i	−1.40351	−	1.21615i
$836$	−13.0434	−	1.87535i	−0.451114	−	0.0648604i
$837$	−21.2606	+	9.10709i	−0.734873	+	0.314787i
$838$	5.74935	−	4.98184i	0.198608	−	0.172095i
$839$	30.3196	−	19.4852i	1.04675	−	0.672704i	0.100101	−	0.994977i	$-0.468083\pi$
$839$	30.3196	−	19.4852i	1.04675	−	0.672704i	0.946647	+	0.322273i	$0.104447\pi$
$840$	9.06967	+	4.22885i	0.312933	+	0.145909i
$841$	7.64791	+	8.82615i	0.263721	+	0.304350i
$842$	−6.35277	+	1.86534i	−0.218931	+	0.0642839i
$843$	−26.9842	+	12.0667i	−0.929386	+	0.415599i
$844$	12.2996	−	14.1945i	0.423370	−	0.488595i
$845$	11.2548	−	24.6445i	0.387176	−	0.847798i
$846$	−8.59051	+	9.60325i	−0.295348	+	0.330166i
$847$	0.669840	−	0.305906i	0.0230160	−	0.0105110i
$848$	3.77831	+	26.2788i	0.129748	+	0.902416i
$849$	24.3054	+	0.191933i	0.834161	+	0.00658712i
$850$			18.1236i			0.621634i
$851$	19.6304	−	34.4345i	0.672921	−	1.18040i
$852$	19.4945	−	12.3119i	0.667871	−	0.421800i
$853$	39.2263	+	25.2092i	1.34308	+	0.863148i	0.997175	−	0.0751200i	$-0.0239340\pi$
$853$	39.2263	+	25.2092i	1.34308	+	0.863148i	0.345910	+	0.938268i	$0.387570\pi$
$854$	−2.04019	+	0.293335i	−0.0698138	+	0.0100377i
$855$	−0.645997	+	40.9004i	−0.0220926	+	1.39876i
$856$	−5.08430	+	17.3156i	−0.173778	+	0.591833i
$857$	4.32418	+	1.97479i	0.147711	+	0.0674575i	0.487899	−	0.872900i	$-0.337763\pi$
$857$	4.32418	+	1.97479i	0.147711	+	0.0674575i	−0.340188	+	0.940357i	$0.610491\pi$
$858$	−7.06442	+	46.5231i	−0.241175	+	1.58827i
$859$	3.80084	−	26.4354i	0.129683	−	0.901965i	−0.816272	−	0.577667i	$-0.803963\pi$
$859$	3.80084	−	26.4354i	0.129683	−	0.901965i	0.945955	−	0.324297i	$-0.105128\pi$
$860$	−2.64289	−	9.00085i	−0.0901217	−	0.306926i
$861$	4.17607	−	13.8178i	0.142320	−	0.470909i
$862$	7.21816	+	11.2317i	0.245851	+	0.382552i
$863$	−3.31005	−	5.15054i	−0.112675	−	0.175326i	0.780336	−	0.625361i	$-0.215048\pi$
$863$	−3.31005	−	5.15054i	−0.112675	−	0.175326i	−0.893011	+	0.450034i	$0.851412\pi$
$864$	15.3969	−	16.9410i	0.523815	−	0.576343i
$865$	−10.3147	−	35.1288i	−0.350712	−	1.19441i
$866$	8.05667	−	56.0354i	0.273777	−	1.90416i
$867$	13.4580	+	2.04357i	0.457058	+	0.0694031i
$868$	−3.34300	−	1.52670i	−0.113469	−	0.0518195i
$869$	−1.24879	+	4.25299i	−0.0423623	+	0.144273i
$870$	29.7436	−	45.4881i	1.00840	−	1.54219i
$871$	−37.1793	+	5.34558i	−1.25977	+	0.181128i
$872$	22.2796	+	14.3182i	0.754481	+	0.484876i
$873$	−31.5500	−	15.0150i	−1.06780	−	0.508181i
$874$	−30.4735	+	21.9523i	−1.03078	+	0.742549i
$875$			4.19680i			0.141878i
$876$	0.131956	−	16.7103i	0.00445839	−	0.564589i
$877$	0.844228	+	5.87174i	0.0285076	+	0.198274i	0.999098	−	0.0424620i	$-0.0135201\pi$
$877$	0.844228	+	5.87174i	0.0285076	+	0.198274i	−0.970591	+	0.240736i	$0.922611\pi$
$878$	34.9205	−	15.9476i	1.17851	−	0.538207i
$879$	−4.14352	−	14.5352i	−0.139757	−	0.490259i
$880$	−20.6996	+	45.3258i	−0.697783	+	1.52793i
$881$	−30.7335	+	35.4683i	−1.03544	+	1.19496i	−0.0549258	+	0.998490i	$0.517492\pi$
$881$	−30.7335	+	35.4683i	−1.03544	+	1.19496i	−0.980510	+	0.196467i	$0.937053\pi$
$882$	−2.79305	+	4.19877i	−0.0940470	+	0.141380i
$883$	15.0757	−	4.42663i	0.507338	−	0.148968i	−0.0180393	−	0.999837i	$-0.505742\pi$
$883$	15.0757	−	4.42663i	0.507338	−	0.148968i	0.525377	+	0.850869i	$0.323924\pi$
$884$	−7.71209	−	8.90022i	−0.259386	−	0.299347i
$885$	1.72300	−	3.69533i	0.0579179	−	0.124217i
$886$	−33.9213	+	21.7999i	−1.13961	+	0.732382i
$887$	−26.3390	+	22.8229i	−0.884378	+	0.766318i	−0.973256	−	0.229725i	$-0.926217\pi$
$887$	−26.3390	+	22.8229i	−0.884378	+	0.766318i	0.0888779	+	0.996043i	$0.471672\pi$
$888$	21.2098	+	18.6737i	0.711754	+	0.626647i
$889$	−6.51830	−	0.937189i	−0.218617	−	0.0314323i
$890$	2.20433	+	1.91006i	0.0738892	+	0.0640254i
$891$	−29.8432	+	7.74793i	−0.999785	+	0.259565i
$892$	11.8472	+	3.47865i	0.396673	+	0.116474i
$893$	4.94482	+	10.8277i	0.165472	+	0.362334i
$894$	2.60411	+	3.05369i	0.0870943	+	0.102131i
$895$	9.28698	−	14.4508i	0.310430	−	0.483038i
$896$	−13.0700			−0.436637
$897$	22.6539	+	31.9769i	0.756393	+	1.06768i
$898$	−8.76135			−0.292370
$899$	15.3486	−	23.8828i	0.511903	−	0.796537i
$900$	−8.43481	−	2.62207i	−0.281160	−	0.0874023i
$901$	6.70971	+	14.6922i	0.223533	+	0.489469i
$902$	46.0497	+	13.5214i	1.53329	+	0.450213i
$903$	−6.66273	+	0.904315i	−0.221722	+	0.0300937i
$904$	−28.9566	−	25.0910i	−0.963081	−	0.834514i
$905$	17.4234	+	2.50511i	0.579175	+	0.0832728i
$906$	−23.7447	+	26.9696i	−0.788866	+	0.896005i
$907$	−7.33149	+	6.35278i	−0.243438	+	0.210940i	−0.768031	−	0.640413i	$-0.778763\pi$
$907$	−7.33149	+	6.35278i	−0.243438	+	0.210940i	0.524592	+	0.851354i	$0.324218\pi$
$908$	−11.4996	+	7.39037i	−0.381629	+	0.245258i
$909$	−30.9726	+	3.95502i	−1.02730	+	0.131180i
$910$	15.1996	+	17.5412i	0.503860	+	0.581486i
$911$	−23.0503	+	6.76817i	−0.763689	+	0.224239i	−0.640306	−	0.768120i	$-0.721193\pi$
$911$	−23.0503	+	6.76817i	−0.763689	+	0.224239i	−0.123383	+	0.992359i	$0.539374\pi$
$912$	−16.3699	−	36.6073i	−0.542061	−	1.21219i
$913$	4.99982	−	5.77010i	0.165470	−	0.190963i
$914$	27.4378	−	60.0804i	0.907562	−	1.98728i
$915$	−5.97778	+	1.70408i	−0.197619	+	0.0563351i
$916$	8.93393	−	4.07999i	0.295185	−	0.134807i
$917$	−1.11572	−	7.76002i	−0.0368444	−	0.256258i
$918$	11.5362	−	23.7550i	0.380752	−	0.784032i
$919$			7.53467i			0.248546i	0.992248	+	0.124273i	$0.0396598\pi$
$919$			7.53467i			0.248546i	−0.992248	+	0.124273i	$0.960340\pi$
$920$	9.20565	+	26.1345i	0.303501	+	0.861629i
$921$	−15.3807	−	24.3535i	−0.506811	−	0.802476i
$922$	−34.3945	−	22.1040i	−1.13272	−	0.727957i
$923$	−75.2893	+	10.8250i	−2.47818	+	0.356308i
$924$	−4.10041	−	2.68116i	−0.134893	−	0.0882036i
$925$	8.30354	−	28.2793i	0.273019	−	0.929817i
$926$	−19.9552	−	9.11325i	−0.655770	−	0.299480i
$927$	−27.1578	+	11.8879i	−0.891979	+	0.390449i
$928$	−3.99892	+	27.8131i	−0.131271	+	0.913010i
$929$	3.95110	+	13.4562i	0.129631	+	0.441484i	0.998571	−	0.0534334i	$-0.0170165\pi$
$929$	3.95110	+	13.4562i	0.129631	+	0.441484i	−0.868940	+	0.494917i	$0.835198\pi$
$930$	−36.3083	−	10.9732i	−1.19060	−	0.359827i
$931$	2.51871	+	3.91919i	0.0825475	+	0.128446i
$932$	3.89030	+	6.05343i	0.127431	+	0.198287i
$933$	−14.3834	−	4.34701i	−0.470892	−	0.142315i
$934$	−1.81920	−	6.19563i	−0.0595261	−	0.202727i
$935$	−4.31423	+	30.0061i	−0.141091	+	0.981306i
$936$	−25.5943	+	11.2035i	−0.836576	+	0.366197i
$937$	−20.4659	−	9.34645i	−0.668591	−	0.305335i	0.0520494	−	0.998645i	$-0.483425\pi$
$937$	−20.4659	−	9.34645i	−0.668591	−	0.305335i	−0.720640	+	0.693309i	$0.756152\pi$
$938$	3.77058	−	12.8414i	0.123114	−	0.419287i
$939$	47.2077	+	30.8680i	1.54056	+	1.00734i
$940$	−6.11142	+	0.878689i	−0.199332	+	0.0286597i
$941$	30.3225	+	19.4871i	0.988486	+	0.635261i	0.931739	−	0.363128i	$-0.118291\pi$
$941$	30.3225	+	19.4871i	0.988486	+	0.635261i	0.0567461	+	0.998389i	$0.481927\pi$
$942$	31.7884	+	50.3332i	1.03572	+	1.63995i
$943$	35.4250	−	18.5089i	1.15360	−	0.602732i
$944$			3.99706i			0.130093i
$945$	−6.64355	+	13.6802i	−0.216115	+	0.445016i
$946$	−3.18150	−	22.1278i	−0.103439	−	0.719437i
$947$	12.2000	−	5.57156i	0.396447	−	0.181051i	−0.207208	−	0.978297i	$-0.566438\pi$
$947$	12.2000	−	5.57156i	0.396447	−	0.181051i	0.603655	+	0.797246i	$0.293710\pi$
$948$	1.77941	−	0.507254i	0.0577925	−	0.0164748i
$949$	−22.9011	+	50.1463i	−0.743400	+	1.62782i
$950$	−18.2881	+	21.1056i	−0.593343	+	0.684755i
$951$	19.8353	+	44.3568i	0.643203	+	1.43837i
$952$	−5.72657	+	1.68147i	−0.185599	+	0.0544968i
$953$	−19.6036	−	22.6237i	−0.635022	−	0.732854i	0.343465	−	0.939166i	$-0.388399\pi$
$953$	−19.6036	−	22.6237i	−0.635022	−	0.732854i	−0.978486	+	0.206312i	$0.933854\pi$
$954$	−26.7236	+	3.41244i	−0.865208	+	0.110482i
$955$	−56.4850	+	36.3007i	−1.82781	+	1.17466i
$956$	−14.1797	+	12.2868i	−0.458604	+	0.397383i
$957$	25.0084	−	28.4049i	0.808408	−	0.918201i
$958$	50.1204	+	7.20622i	1.61932	+	0.232822i
$959$	−7.69893	−	6.67116i	−0.248612	−	0.215423i
$960$	−12.7263	+	1.72731i	−0.410739	+	0.0557486i
$961$	10.7338	+	3.15174i	0.346252	+	0.101669i
$962$	27.2276	+	59.6202i	0.877854	+	1.92223i
$963$	−26.1895	−	8.14134i	−0.843946	−	0.262351i
$964$	−6.14937	+	9.56861i	−0.198058	+	0.308184i
$965$	49.7370			1.60109
$966$	−13.7172	+	2.60928i	−0.441344	+	0.0839521i
$967$	−19.7886			−0.636357			−0.318179	−	0.948031i	$-0.603071\pi$
$967$	−19.7886			−0.636357			−0.318179	+	0.948031i	$0.603071\pi$
$968$	−0.785907	+	1.22290i	−0.0252600	+	0.0393053i
$969$	−15.8302	−	18.5632i	−0.508538	−	0.596334i
$970$	−23.8036	−	52.1225i	−0.764286	−	1.67355i
$971$	−40.4558	−	11.8789i	−1.29829	−	0.381212i	−0.441678	−	0.897174i	$-0.645617\pi$
$971$	−40.4558	−	11.8789i	−1.29829	−	0.381212i	−0.856612	+	0.515961i	$0.827435\pi$
$972$	9.38667	+	8.80582i	0.301078	+	0.282447i
$973$	4.73179	+	4.10012i	0.151694	+	0.131444i
$974$	−4.28271	−	0.615761i	−0.137227	−	0.0197303i
$975$	21.8708	+	19.2556i	0.700427	+	0.616674i
$976$	4.60525	−	3.99048i	0.147411	−	0.127732i
$977$	4.20755	−	2.70403i	0.134611	−	0.0865095i	−0.471602	−	0.881812i	$-0.656324\pi$
$977$	4.20755	−	2.70403i	0.134611	−	0.0865095i	0.606213	+	0.795302i	$0.292688\pi$
$978$	20.4744	−	43.9118i	0.654700	−	1.40414i
$979$	1.33004	+	1.53495i	0.0425082	+	0.0490571i
$980$	−2.31861	+	0.680806i	−0.0740653	+	0.0217475i
$981$	−22.2917	+	33.5109i	−0.711719	+	1.06992i
$982$	−20.4398	+	23.5888i	−0.652261	+	0.752750i
$983$	1.84428	−	4.03842i	0.0588235	−	0.128806i	−0.877937	−	0.478775i	$-0.841081\pi$
$983$	1.84428	−	4.03842i	0.0588235	−	0.128806i	0.936761	+	0.349970i	$0.113808\pi$
$984$	7.81195	+	27.4038i	0.249036	+	0.873600i
$985$	58.2439	−	26.5991i	1.85580	−	0.847517i
$986$	4.61305	+	32.0845i	0.146909	+	1.02178i
$987$	−0.0349456	+	4.42533i	−0.00111233	+	0.140860i
$988$		−	18.1467i		−	0.577323i
$989$	−14.6970	−	11.4283i	−0.467338	−	0.363398i
$990$	−45.6569	−	21.7286i	−1.45107	−	0.690581i
$991$	−20.9848	−	13.4861i	−0.666605	−	0.428401i	0.163095	−	0.986610i	$-0.447852\pi$
$991$	−20.9848	−	13.4861i	−0.666605	−	0.428401i	−0.829700	+	0.558209i	$0.811489\pi$
$992$	19.4107	−	2.79084i	0.616291	−	0.0886093i
$993$	21.8715	−	33.4491i	0.694072	−	1.06147i
$994$	7.63555	−	26.0043i	0.242185	−	0.824806i
$995$	20.3026	+	9.27190i	0.643636	+	0.293939i
$996$	−3.15097	−	0.478467i	−0.0998424	−	0.0151608i
$997$	−6.28831	+	43.7362i	−0.199153	+	1.38514i	0.607597	+	0.794246i	$0.292134\pi$
$997$	−6.28831	+	43.7362i	−0.199153	+	1.38514i	−0.806750	+	0.590893i	$0.798775\pi$
$998$	−6.34963	−	21.6249i	−0.200994	−	0.684523i
$999$	−28.8843	+	31.7808i	−0.913858	+	1.00550i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.u.a.113.12	✓	480
3.2	odd	2	inner	483.2.u.a.113.37	yes	480
23.11	odd	22	inner	483.2.u.a.218.37	yes	480
69.11	even	22	inner	483.2.u.a.218.12	yes	480

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.u.a.113.12	✓	480	1.1	even	1	trivial
483.2.u.a.113.37	yes	480	3.2	odd	2	inner
483.2.u.a.218.12	yes	480	69.11	even	22	inner
483.2.u.a.218.37	yes	480	23.11	odd	22	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:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.u (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.908799 + 1.41412i) q^{2} +(1.31791 - 1.12388i) q^{3} +(-0.342987 - 0.751037i) q^{4} +(-2.80823 - 0.824571i) q^{5} +(0.391583 + 2.88507i) q^{6} +(0.755750 + 0.654861i) q^{7} +(-1.95395 - 0.280936i) q^{8} +(0.473786 - 2.96235i) q^{9} +O(q^{10})\)	\(q+(-0.908799 + 1.41412i) q^{2} +(1.31791 - 1.12388i) q^{3} +(-0.342987 - 0.751037i) q^{4} +(-2.80823 - 0.824571i) q^{5} +(0.391583 + 2.88507i) q^{6} +(0.755750 + 0.654861i) q^{7} +(-1.95395 - 0.280936i) q^{8} +(0.473786 - 2.96235i) q^{9} +(3.71816 - 3.22180i) q^{10} +(2.88200 - 1.85215i) q^{11} +(-1.29610 - 0.604324i) q^{12} +(3.08945 + 3.56541i) q^{13} +(-1.61288 + 0.473583i) q^{14} +(-4.62772 + 2.06940i) q^{15} +(3.25440 - 3.75577i) q^{16} +(1.25597 - 2.75018i) q^{17} +(3.75854 + 3.36217i) q^{18} +(4.23775 - 1.93532i) q^{19} +(0.343903 + 2.39190i) q^{20} +(1.73200 + 0.0136771i) q^{21} +5.75872i q^{22} +(3.32844 + 3.45275i) q^{23} +(-2.89088 + 1.82576i) q^{24} +(2.99997 + 1.92796i) q^{25} +(-7.84961 + 1.12860i) q^{26} +(-2.70492 - 4.43660i) q^{27} +(0.232612 - 0.792204i) q^{28} +(5.80162 + 2.64951i) q^{29} +(1.27929 - 8.42482i) q^{30} +(0.633469 - 4.40588i) q^{31} +(1.24121 + 4.22719i) q^{32} +(1.71663 - 5.67999i) q^{33} +(2.74766 + 4.27545i) q^{34} +(-1.58234 - 2.46217i) q^{35} +(-2.38734 + 0.660217i) q^{36} +(-2.32849 - 7.93009i) q^{37} +(-1.11450 + 7.75150i) q^{38} +(8.07872 + 1.22673i) q^{39} +(5.25549 + 2.40010i) q^{40} +(2.34798 - 7.99650i) q^{41} +(-1.59338 + 2.43682i) q^{42} +(-3.84249 + 0.552466i) q^{43} +(-2.37952 - 1.52923i) q^{44} +(-3.77317 + 7.92829i) q^{45} +(-7.90748 + 1.56896i) q^{46} +2.55505i q^{47} +(0.0679696 - 8.60733i) q^{48} +(0.142315 + 0.989821i) q^{49} +(-5.45274 + 2.49018i) q^{50} +(-1.43562 - 5.03605i) q^{51} +(1.61812 - 3.54318i) q^{52} +(-3.49845 + 4.03742i) q^{53} +(8.73211 + 0.206899i) q^{54} +(-9.62055 + 2.82485i) q^{55} +(-1.29272 - 1.49188i) q^{56} +(3.40992 - 7.31330i) q^{57} +(-9.01923 + 5.79631i) q^{58} +(-0.607851 + 0.526706i) q^{59} +(3.14144 + 2.76581i) q^{60} +(1.21370 + 0.174504i) q^{61} +(5.65474 + 4.89986i) q^{62} +(2.29799 - 1.92853i) q^{63} +(2.43084 + 0.713758i) q^{64} +(-5.73595 - 12.5600i) q^{65} +(6.47212 + 7.58949i) q^{66} +(-4.30448 + 6.69791i) q^{67} -2.49627 q^{68} +(8.26707 + 0.809652i) q^{69} +4.91983 q^{70} +(-8.71672 + 13.5635i) q^{71} +(-1.75799 + 5.65519i) q^{72} +(4.85427 + 10.6294i) q^{73} +(13.3302 + 3.91411i) q^{74} +(6.12050 - 0.830720i) q^{75} +(-2.90699 - 2.51892i) q^{76} +(3.39097 + 0.487548i) q^{77} +(-9.07668 + 10.3094i) q^{78} +(-0.977830 + 0.847294i) q^{79} +(-12.2360 + 7.86360i) q^{80} +(-8.55105 - 2.80704i) q^{81} +(9.17416 + 10.5875i) q^{82} +(2.13836 - 0.627878i) q^{83} +(-0.583780 - 1.30548i) q^{84} +(-5.79476 + 6.68751i) q^{85} +(2.71079 - 5.93581i) q^{86} +(10.6238 - 3.02850i) q^{87} +(-6.15163 + 2.80935i) q^{88} +(0.0843720 + 0.586820i) q^{89} +(-7.78250 - 12.5409i) q^{90} +4.71772i q^{91} +(1.45153 - 3.68403i) q^{92} +(-4.11682 - 6.51850i) q^{93} +(-3.61314 - 2.32202i) q^{94} +(-13.4964 + 1.94049i) q^{95} +(6.38666 + 4.17608i) q^{96} +(3.28131 - 11.1751i) q^{97} +(-1.52906 - 0.698299i) q^{98} +(-4.12127 - 9.41502i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 480 q + 4 q^{3} + 40 q^{4} - 6 q^{6} - 4 q^{9}+O(q^{10}) \) 480 * q + 4 * q^3 + 40 * q^4 - 6 * q^6 - 4 * q^9	\( 480 q + 4 q^{3} + 40 q^{4} - 6 q^{6} - 4 q^{9} - 22 q^{12} + 8 q^{13} - 22 q^{15} - 24 q^{16} - 30 q^{18} - 120 q^{24} - 88 q^{25} + 16 q^{27} - 44 q^{30} + 8 q^{31} - 22 q^{33} - 44 q^{34} + 10 q^{36} - 44 q^{37} - 308 q^{40} - 44 q^{43} - 184 q^{46} + 98 q^{48} + 48 q^{49} - 28 q^{52} + 28 q^{54} - 44 q^{55} + 66 q^{57} + 4 q^{58} + 220 q^{60} + 84 q^{64} + 176 q^{66} + 44 q^{67} + 102 q^{69} - 8 q^{70} - 60 q^{72} + 4 q^{73} - 8 q^{75} + 176 q^{76} + 18 q^{78} - 16 q^{81} + 20 q^{82} - 154 q^{84} + 84 q^{85} + 28 q^{87} - 418 q^{90} - 188 q^{93} + 12 q^{94} - 412 q^{96} - 132 q^{97}+O(q^{100}) \) 480 * q + 4 * q^3 + 40 * q^4 - 6 * q^6 - 4 * q^9 - 22 * q^12 + 8 * q^13 - 22 * q^15 - 24 * q^16 - 30 * q^18 - 120 * q^24 - 88 * q^25 + 16 * q^27 - 44 * q^30 + 8 * q^31 - 22 * q^33 - 44 * q^34 + 10 * q^36 - 44 * q^37 - 308 * q^40 - 44 * q^43 - 184 * q^46 + 98 * q^48 + 48 * q^49 - 28 * q^52 + 28 * q^54 - 44 * q^55 + 66 * q^57 + 4 * q^58 + 220 * q^60 + 84 * q^64 + 176 * q^66 + 44 * q^67 + 102 * q^69 - 8 * q^70 - 60 * q^72 + 4 * q^73 - 8 * q^75 + 176 * q^76 + 18 * q^78 - 16 * q^81 + 20 * q^82 - 154 * q^84 + 84 * q^85 + 28 * q^87 - 418 * q^90 - 188 * q^93 + 12 * q^94 - 412 * q^96 - 132 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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