LMFDB - Embedded newform 115.2.g.a.41.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [115,2,Mod(6,115)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(115, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 18]))

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

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

chi := DirichletCharacter("115.6");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 115 = 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	115.g (of order $11$, 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:	$0.918279623245$
Analytic rank:	$0$
Dimension:	$10$
Coefficient field:	$\Q(\zeta_{22})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 $ x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			41.1
Root			$0.654861 + 0.755750i$ of defining polynomial
Character	$\chi$	$=$	115.41
Dual form			115.2.g.a.101.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.31718 + 0.386758i) q^{2} +(0.654861 - 0.755750i) q^{3} +(-0.0971309 - 0.0624222i) q^{4} +(0.142315 - 0.989821i) q^{5} +(1.15486 - 0.742184i) q^{6} +(0.925839 + 2.02730i) q^{7} +(-1.90176 - 2.19475i) q^{8} +(0.284630 + 1.97964i) q^{9} +(0.570276 - 1.24873i) q^{10} +(-1.98926 + 0.584100i) q^{11} +(-0.110783 + 0.0325288i) q^{12} +(-0.425839 + 0.932456i) q^{13} +(0.435418 + 3.02840i) q^{14} +(-0.654861 - 0.755750i) q^{15} +(-1.56019 - 3.41635i) q^{16} +(-3.33083 + 2.14059i) q^{17} +(-0.390736 + 2.71763i) q^{18} +(-0.879900 - 0.565477i) q^{19} +(-0.0756100 + 0.0872586i) q^{20} +(2.13843 + 0.627899i) q^{21} -2.84612 q^{22} +(2.01691 - 4.35110i) q^{23} -2.90407 q^{24} +(-0.959493 - 0.281733i) q^{25} +(-0.921540 + 1.06351i) q^{26} +(4.20627 + 2.70320i) q^{27} +(0.0366213 - 0.254707i) q^{28} +(4.95274 - 3.18293i) q^{29} +(-0.570276 - 1.24873i) q^{30} +(-2.78201 - 3.21061i) q^{31} +(0.0928329 + 0.645667i) q^{32} +(-0.861256 + 1.88589i) q^{33} +(-5.21519 + 1.53132i) q^{34} +(2.13843 - 0.627899i) q^{35} +(0.0959274 - 0.210052i) q^{36} +(0.851751 + 5.92406i) q^{37} +(-0.940282 - 1.08514i) q^{38} +(0.425839 + 0.932456i) q^{39} +(-2.44306 + 1.57006i) q^{40} +(1.36297 - 9.47964i) q^{41} +(2.57385 + 1.65411i) q^{42} +(-1.23278 + 1.42270i) q^{43} +(0.229680 + 0.0674400i) q^{44} +2.00000 q^{45} +(4.33945 - 4.95112i) q^{46} -7.61130 q^{47} +(-3.60362 - 1.05812i) q^{48} +(1.33124 - 1.53634i) q^{49} +(-1.15486 - 0.742184i) q^{50} +(-0.563476 + 3.91906i) q^{51} +(0.0995681 - 0.0639885i) q^{52} +(4.95792 + 10.8563i) q^{53} +(4.49492 + 5.18741i) q^{54} +(0.295053 + 2.05214i) q^{55} +(2.68870 - 5.88744i) q^{56} +(-1.00357 + 0.294675i) q^{57} +(7.75466 - 2.27697i) q^{58} +(4.75662 - 10.4155i) q^{59} +(0.0164316 + 0.114284i) q^{60} +(4.20330 + 4.85087i) q^{61} +(-2.42267 - 5.30490i) q^{62} +(-3.74982 + 2.40986i) q^{63} +(-1.19644 + 8.32140i) q^{64} +(0.862362 + 0.554206i) q^{65} +(-1.86381 + 2.15095i) q^{66} +(3.93196 + 1.15453i) q^{67} +0.457147 q^{68} +(-1.96755 - 4.37364i) q^{69} +3.05954 q^{70} +(-9.69553 - 2.84686i) q^{71} +(3.80353 - 4.38950i) q^{72} +(7.65481 + 4.91945i) q^{73} +(-1.16927 + 8.13247i) q^{74} +(-0.841254 + 0.540641i) q^{75} +(0.0501671 + 0.109851i) q^{76} +(-3.02588 - 3.49206i) q^{77} +(0.200270 + 1.39291i) q^{78} +(1.59168 - 3.48530i) q^{79} +(-3.60362 + 1.05812i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(5.46160 - 11.9592i) q^{82} +(-1.03645 - 7.20866i) q^{83} +(-0.168513 - 0.194474i) q^{84} +(1.64478 + 3.60157i) q^{85} +(-2.17403 + 1.39717i) q^{86} +(0.837855 - 5.82741i) q^{87} +(5.06506 + 3.25512i) q^{88} +(6.80606 - 7.85461i) q^{89} +(2.63436 + 0.773517i) q^{90} -2.28463 q^{91} +(-0.467509 + 0.296726i) q^{92} -4.24824 q^{93} +(-10.0254 - 2.94373i) q^{94} +(-0.684944 + 0.790468i) q^{95} +(0.548755 + 0.352663i) q^{96} +(-0.207978 + 1.44652i) q^{97} +(2.34767 - 1.50876i) q^{98} +(-1.72251 - 3.77178i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 10 q + 5 q^{2} + q^{3} - q^{4} + q^{5} + 6 q^{6} + 5 q^{7} - 16 q^{8} + 2 q^{9} - 5 q^{10} + 8 q^{11} + q^{12} - 3 q^{14} - q^{15} + 5 q^{16} - 23 q^{17} - 10 q^{18} - 13 q^{19} + q^{20} + 6 q^{21}+ \cdots + 6 q^{99}+O(q^{100}) $ 10 * q + 5 * q^2 + q^3 - q^4 + q^5 + 6 * q^6 + 5 * q^7 - 16 * q^8 + 2 * q^9 - 5 * q^10 + 8 * q^11 + q^12 - 3 * q^14 - q^15 + 5 * q^16 - 23 * q^17 - 10 * q^18 - 13 * q^19 + q^20 + 6 * q^21 + 4 * q^22 - 21 * q^23 - 6 * q^24 - q^25 + 11 * q^26 - 5 * q^27 - 6 * q^28 + 2 * q^29 + 5 * q^30 - 20 * q^31 - 15 * q^32 + 3 * q^33 + 16 * q^34 + 6 * q^35 + 24 * q^36 + 13 * q^37 + 21 * q^38 - 6 * q^40 - 5 * q^41 + 3 * q^42 + 15 * q^43 + 19 * q^44 + 20 * q^45 - 16 * q^46 - 52 * q^47 + 6 * q^48 + 4 * q^49 - 6 * q^50 - 10 * q^51 + 22 * q^52 + 6 * q^53 - 30 * q^54 + 3 * q^55 + 3 * q^56 + 2 * q^57 + 45 * q^58 + 5 * q^59 + 10 * q^60 - 3 * q^61 - 54 * q^62 - 10 * q^63 - 34 * q^64 - 4 * q^66 + 20 * q^67 + 32 * q^68 - q^69 - 8 * q^70 - 22 * q^71 + 32 * q^72 + 43 * q^73 + q^74 + q^75 - 2 * q^76 + 4 * q^77 + 11 * q^78 + 51 * q^79 + 6 * q^80 - q^81 + 58 * q^82 - 17 * q^83 + 6 * q^84 + q^85 - 9 * q^86 - 2 * q^87 + 7 * q^88 + 57 * q^89 + 10 * q^90 - 22 * q^91 - 43 * q^92 + 20 * q^93 - 81 * q^94 - 9 * q^95 - 7 * q^96 + 52 * q^97 + 24 * q^98 + 6 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/115\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$1$	$e\left(\frac{6}{11}\right)$

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 $

$2$	1.31718	+	0.386758i	0.931386	+	0.273479i	0.712017	−	0.702163i	$-0.247782\pi$
$2$	1.31718	+	0.386758i	0.931386	+	0.273479i	0.219369	+	0.975642i	$0.429600\pi$
$3$	0.654861	−	0.755750i	0.378084	−	0.436332i	−0.534533	−	0.845148i	$-0.679513\pi$
$3$	0.654861	−	0.755750i	0.378084	−	0.436332i	0.912617	+	0.408815i	$0.134058\pi$
$4$	−0.0971309	−	0.0624222i	−0.0485654	−	0.0312111i
$5$	0.142315	−	0.989821i	0.0636451	−	0.442662i
$5$	0.142315	−	0.989821i	0.0636451	−	0.442662i
$6$	1.15486	−	0.742184i	0.471470	−	0.302995i
$7$	0.925839	+	2.02730i	0.349934	+	0.766249i	0.999980	+	0.00635365i	$0.00202244\pi$
$7$	0.925839	+	2.02730i	0.349934	+	0.766249i	−0.650046	+	0.759895i	$0.725250\pi$
$8$	−1.90176	−	2.19475i	−0.672375	−	0.775962i
$9$	0.284630	+	1.97964i	0.0948766	+	0.659881i
$10$	0.570276	−	1.24873i	0.180337	−	0.394883i
$11$	−1.98926	+	0.584100i	−0.599785	+	0.176113i	−0.567510	−	0.823366i	$-0.692093\pi$
$11$	−1.98926	+	0.584100i	−0.599785	+	0.176113i	−0.0322746	+	0.999479i	$0.510275\pi$
$12$	−0.110783	+	0.0325288i	−0.0319802	+	0.00939024i
$13$	−0.425839	+	0.932456i	−0.118106	+	0.258617i	−0.959447	−	0.281888i	$-0.909039\pi$
$13$	−0.425839	+	0.932456i	−0.118106	+	0.258617i	0.841341	+	0.540505i	$0.181767\pi$
$14$	0.435418	+	3.02840i	0.116370	+	0.809373i
$15$	−0.654861	−	0.755750i	−0.169084	−	0.195134i
$16$	−1.56019	−	3.41635i	−0.390049	−	0.854088i
$17$	−3.33083	+	2.14059i	−0.807845	+	0.519170i	−0.878167	−	0.478354i	$-0.841234\pi$
$17$	−3.33083	+	2.14059i	−0.807845	+	0.519170i	0.0703222	+	0.997524i	$0.477597\pi$
$18$	−0.390736	+	2.71763i	−0.0920972	+	0.640550i
$19$	−0.879900	−	0.565477i	−0.201863	−	0.129729i	0.435804	−	0.900042i	$-0.356464\pi$
$19$	−0.879900	−	0.565477i	−0.201863	−	0.129729i	−0.637667	+	0.770312i	$0.720100\pi$
$20$	−0.0756100	+	0.0872586i	−0.0169069	+	0.0195116i
$21$	2.13843	+	0.627899i	0.466643	+	0.137019i
$22$	−2.84612			−0.606794
$23$	2.01691	−	4.35110i	0.420554	−	0.907267i
$23$	2.01691	−	4.35110i	0.420554	−	0.907267i
$24$	−2.90407			−0.592791
$25$	−0.959493	−	0.281733i	−0.191899	−	0.0563465i
$26$	−0.921540	+	1.06351i	−0.180729	+	0.208572i
$27$	4.20627	+	2.70320i	0.809497	+	0.520232i
$28$	0.0366213	−	0.254707i	0.00692077	−	0.0481350i
$29$	4.95274	−	3.18293i	0.919700	−	0.591056i	0.00712969	−	0.999975i	$-0.497731\pi$
$29$	4.95274	−	3.18293i	0.919700	−	0.591056i	0.912571	+	0.408919i	$0.134094\pi$
$30$	−0.570276	−	1.24873i	−0.104118	−	0.227986i
$31$	−2.78201	−	3.21061i	−0.499663	−	0.576642i	0.448759	−	0.893653i	$-0.351866\pi$
$31$	−2.78201	−	3.21061i	−0.499663	−	0.576642i	−0.948422	+	0.317011i	$0.897321\pi$
$32$	0.0928329	+	0.645667i	0.0164107	+	0.114139i
$33$	−0.861256	+	1.88589i	−0.149925	+	0.328291i
$34$	−5.21519	+	1.53132i	−0.894398	+	0.262619i
$35$	2.13843	−	0.627899i	0.361460	−	0.106134i
$36$	0.0959274	−	0.210052i	0.0159879	−	0.0350086i
$37$	0.851751	+	5.92406i	0.140027	+	0.973910i	0.931768	+	0.363053i	$0.118266\pi$
$37$	0.851751	+	5.92406i	0.140027	+	0.973910i	−0.791741	+	0.610857i	$0.790825\pi$
$38$	−0.940282	−	1.08514i	−0.152534	−	0.176033i
$39$	0.425839	+	0.932456i	0.0681887	+	0.149313i
$40$	−2.44306	+	1.57006i	−0.386282	+	0.248248i
$41$	1.36297	−	9.47964i	0.212860	−	1.48047i	−0.550684	−	0.834714i	$-0.685633\pi$
$41$	1.36297	−	9.47964i	0.212860	−	1.48047i	0.763543	−	0.645757i	$-0.223458\pi$
$42$	2.57385	+	1.65411i	0.397153	+	0.255235i
$43$	−1.23278	+	1.42270i	−0.187997	+	0.216960i	−0.841922	−	0.539599i	$-0.818576\pi$
$43$	−1.23278	+	1.42270i	−0.187997	+	0.216960i	0.653925	+	0.756560i	$0.273121\pi$
$44$	0.229680	+	0.0674400i	0.0346255	+	0.0101670i
$45$	2.00000			0.298142
$46$	4.33945	−	4.95112i	0.639817	−	0.730003i
$47$	−7.61130			−1.11022			−0.555111	−	0.831776i	$-0.687324\pi$
$47$	−7.61130			−1.11022			−0.555111	+	0.831776i	$0.687324\pi$
$48$	−3.60362	−	1.05812i	−0.520137	−	0.152726i
$49$	1.33124	−	1.53634i	0.190177	−	0.219477i
$50$	−1.15486	−	0.742184i	−0.163322	−	0.104961i
$51$	−0.563476	+	3.91906i	−0.0789025	+	0.548779i
$52$	0.0995681	−	0.0639885i	0.0138076	−	0.00887361i
$53$	4.95792	+	10.8563i	0.681022	+	1.49123i	0.861556	+	0.507662i	$0.169490\pi$
$53$	4.95792	+	10.8563i	0.681022	+	1.49123i	−0.180534	+	0.983569i	$0.557783\pi$
$54$	4.49492	+	5.18741i	0.611681	+	0.705917i
$55$	0.295053	+	2.05214i	0.0397850	+	0.276710i
$56$	2.68870	−	5.88744i	0.359293	−	0.786742i
$57$	−1.00357	+	0.294675i	−0.132926	+	0.0390307i
$58$	7.75466	−	2.27697i	1.01824	−	0.298981i
$59$	4.75662	−	10.4155i	0.619259	−	1.35599i	−0.296799	−	0.954940i	$-0.595919\pi$
$59$	4.75662	−	10.4155i	0.619259	−	1.35599i	0.916057	−	0.401047i	$-0.131354\pi$
$60$	0.0164316	+	0.114284i	0.00212131	+	0.0147541i
$61$	4.20330	+	4.85087i	0.538178	+	0.621090i	0.958087	−	0.286476i	$-0.0924838\pi$
$61$	4.20330	+	4.85087i	0.538178	+	0.621090i	−0.419910	+	0.907566i	$0.637938\pi$
$62$	−2.42267	−	5.30490i	−0.307679	−	0.673723i
$63$	−3.74982	+	2.40986i	−0.472432	+	0.303614i
$64$	−1.19644	+	8.32140i	−0.149555	+	1.04018i
$65$	0.862362	+	0.554206i	0.106963	+	0.0687409i
$66$	−1.86381	+	2.15095i	−0.229419	+	0.264764i
$67$	3.93196	+	1.15453i	0.480366	+	0.141048i	0.512946	−	0.858421i	$-0.328554\pi$
$67$	3.93196	+	1.15453i	0.480366	+	0.141048i	−0.0325800	+	0.999469i	$0.510372\pi$
$68$	0.457147			0.0554372
$69$	−1.96755	−	4.37364i	−0.236865	−	0.526525i
$70$	3.05954			0.365685
$71$	−9.69553	−	2.84686i	−1.15065	−	0.337861i	−0.349856	−	0.936804i	$-0.613769\pi$
$71$	−9.69553	−	2.84686i	−1.15065	−	0.337861i	−0.800792	+	0.598943i	$0.795588\pi$
$72$	3.80353	−	4.38950i	0.448250	−	0.517308i
$73$	7.65481	+	4.91945i	0.895927	+	0.575778i	0.905580	−	0.424176i	$-0.139436\pi$
$73$	7.65481	+	4.91945i	0.895927	+	0.575778i	−0.00965241	+	0.999953i	$0.503073\pi$
$74$	−1.16927	+	8.13247i	−0.135925	+	0.945380i
$75$	−0.841254	+	0.540641i	−0.0971396	+	0.0624278i
$76$	0.0501671	+	0.109851i	0.00575456	+	0.0126007i
$77$	−3.02588	−	3.49206i	−0.344831	−	0.397957i
$78$	0.200270	+	1.39291i	0.0226761	+	0.157716i
$79$	1.59168	−	3.48530i	0.179078	−	0.392127i	−0.798712	−	0.601714i	$-0.794485\pi$
$79$	1.59168	−	3.48530i	0.179078	−	0.392127i	0.977790	+	0.209587i	$0.0672120\pi$
$80$	−3.60362	+	1.05812i	−0.402896	+	0.118301i
$81$	−0.959493	+	0.281733i	−0.106610	+	0.0313036i
$82$	5.46160	−	11.9592i	0.603133	−	1.32068i
$83$	−1.03645	−	7.20866i	−0.113765	−	0.791254i	−0.964201	−	0.265174i	$-0.914571\pi$
$83$	−1.03645	−	7.20866i	−0.113765	−	0.791254i	0.850435	−	0.526079i	$-0.176339\pi$
$84$	−0.168513	−	0.194474i	−0.0183862	−	0.0212188i
$85$	1.64478	+	3.60157i	0.178401	+	0.390645i
$86$	−2.17403	+	1.39717i	−0.234432	+	0.150660i
$87$	0.837855	−	5.82741i	0.0898274	−	0.624764i
$88$	5.06506	+	3.25512i	0.539937	+	0.346996i
$89$	6.80606	−	7.85461i	0.721441	−	0.832587i	−0.270039	−	0.962850i	$-0.587036\pi$
$89$	6.80606	−	7.85461i	0.721441	−	0.832587i	0.991480	+	0.130262i	$0.0415819\pi$
$90$	2.63436	+	0.773517i	0.277686	+	0.0815358i
$91$	−2.28463			−0.239494
$92$	−0.467509	+	0.296726i	−0.0487412	+	0.0309359i
$93$	−4.24824			−0.440522
$94$	−10.0254	−	2.94373i	−1.03404	−	0.303623i
$95$	−0.684944	+	0.790468i	−0.0702738	+	0.0811003i
$96$	0.548755	+	0.352663i	0.0560071	+	0.0359936i
$97$	−0.207978	+	1.44652i	−0.0211169	+	0.146872i	−0.997652	−	0.0684868i	$-0.978183\pi$
$97$	−0.207978	+	1.44652i	−0.0211169	+	0.146872i	0.976535	+	0.215358i	$0.0690920\pi$
$98$	2.34767	−	1.50876i	0.237151	−	0.152408i
$99$	−1.72251	−	3.77178i	−0.173119	−	0.379078i
$100$	0.0756100	+	0.0872586i	0.00756100	+	0.00872586i
$101$	1.70976	+	11.8916i	0.170127	+	1.18326i	0.878612	+	0.477536i	$0.158470\pi$
$101$	1.70976	+	11.8916i	0.170127	+	1.18326i	−0.708485	+	0.705726i	$0.750621\pi$
$102$	−2.25793	+	4.94418i	−0.223568	+	0.489546i
$103$	−16.1958	+	4.75552i	−1.59582	+	0.468575i	−0.954380	−	0.298596i	$-0.903482\pi$
$103$	−16.1958	+	4.75552i	−1.59582	+	0.468575i	−0.641442	+	0.767172i	$0.721663\pi$
$104$	2.85635	−	0.838701i	0.280089	−	0.0822414i
$105$	0.925839	−	2.02730i	0.0903526	−	0.197845i
$106$	2.33169	+	16.2172i	0.226473	+	1.57516i
$107$	−2.88497	−	3.32943i	−0.278900	−	0.321868i	0.598965	−	0.800775i	$-0.295579\pi$
$107$	−2.88497	−	3.32943i	−0.278900	−	0.321868i	−0.877866	+	0.478907i	$0.841033\pi$
$108$	−0.239818	−	0.525129i	−0.0230765	−	0.0505306i
$109$	−15.3342	+	9.85470i	−1.46875	+	0.943910i	−0.470650	+	0.882320i	$0.655981\pi$
$109$	−15.3342	+	9.85470i	−1.46875	+	0.943910i	−0.998102	+	0.0615897i	$0.980383\pi$
$110$	−0.405045	+	2.81715i	−0.0386195	+	0.268605i
$111$	5.03489	+	3.23572i	0.477890	+	0.307121i
$112$	5.48149	−	6.32598i	0.517952	−	0.597749i
$113$	−9.90588	−	2.90863i	−0.931867	−	0.273621i	−0.219649	−	0.975579i	$-0.570491\pi$
$113$	−9.90588	−	2.90863i	−0.931867	−	0.273621i	−0.712218	+	0.701958i	$0.752309\pi$
$114$	−1.43585			−0.134480
$115$	−4.01978	−	2.61561i	−0.374846	−	0.243906i
$116$	−0.679749			−0.0631132
$117$	−1.96714	−	0.577603i	−0.181862	−	0.0533995i
$118$	10.2936	−	11.8795i	0.947603	−	1.09359i
$119$	−7.42345	−	4.77076i	−0.680506	−	0.437335i
$120$	−0.413293	+	2.87451i	−0.0377283	+	0.262406i
$121$	−5.63780	+	3.62319i	−0.512527	+	0.329381i
$122$	3.66038	+	8.01512i	0.331395	+	0.725655i
$123$	−6.27168	−	7.23790i	−0.565498	−	0.652620i
$124$	0.0698055	+	0.485508i	0.00626872	+	0.0435999i
$125$	−0.415415	+	0.909632i	−0.0371558	+	0.0813600i
$126$	−5.87121	+	1.72394i	−0.523049	+	0.153581i
$127$	7.91056	−	2.32275i	0.701948	−	0.206111i	0.0887666	−	0.996052i	$-0.471707\pi$
$127$	7.91056	−	2.32275i	0.701948	−	0.206111i	0.613182	+	0.789942i	$0.289889\pi$
$128$	−4.25234	+	9.31132i	−0.375857	+	0.823012i
$129$	0.267909	+	1.86335i	0.0235881	+	0.164058i
$130$	0.921540	+	1.06351i	0.0808244	+	0.0932764i
$131$	−1.70938	−	3.74303i	−0.149350	−	0.327030i	0.820140	−	0.572163i	$-0.193896\pi$
$131$	−1.70938	−	3.74303i	−0.149350	−	0.327030i	−0.969489	+	0.245133i	$0.921168\pi$
$132$	0.201376	−	0.129416i	0.0175275	−	0.0112643i
$133$	0.331749	−	2.30736i	0.0287663	−	0.200074i
$134$	4.73257	+	3.04144i	0.408832	+	0.262740i
$135$	3.27430	−	3.77875i	0.281807	−	0.325223i
$136$	11.0325	+	3.23944i	0.946031	+	0.277780i
$137$	−11.8468			−1.01214			−0.506068	−	0.862493i	$-0.668902\pi$
$137$	−11.8468			−1.01214			−0.506068	+	0.862493i	$0.668902\pi$
$138$	−0.900070	−	6.52183i	−0.0766190	−	0.555175i
$139$	−2.26434			−0.192058			−0.0960292	−	0.995379i	$-0.530614\pi$
$139$	−2.26434			−0.192058			−0.0960292	+	0.995379i	$0.530614\pi$
$140$	−0.246902	−	0.0724971i	−0.0208671	−	0.00612712i
$141$	−4.98434	+	5.75223i	−0.419757	+	0.484426i
$142$	−11.6697	−	7.49965i	−0.979299	−	0.629357i
$143$	0.302457	−	2.10363i	0.0252927	−	0.175915i
$144$	6.31908	−	4.06102i	0.526590	−	0.338419i
$145$	−2.44569	−	5.35530i	−0.203103	−	0.444734i
$146$	8.18011	+	9.44035i	0.676991	+	0.781289i
$147$	−0.289307	−	2.01217i	−0.0238616	−	0.165961i
$148$	0.287062	−	0.628578i	0.0235963	−	0.0516688i
$149$	18.0514	−	5.30037i	1.47883	−	0.434223i	0.559871	−	0.828580i	$-0.310851\pi$
$149$	18.0514	−	5.30037i	1.47883	−	0.434223i	0.918957	+	0.394357i	$0.129033\pi$
$150$	−1.31718	+	0.386758i	−0.107547	+	0.0315787i
$151$	−7.49577	+	16.4134i	−0.609997	+	1.33571i	0.312579	+	0.949892i	$0.398807\pi$
$151$	−7.49577	+	16.4134i	−0.609997	+	1.33571i	−0.922576	+	0.385815i	$0.873920\pi$
$152$	0.432279	+	3.00657i	0.0350624	+	0.243865i
$153$	−5.18567	−	5.98458i	−0.419236	−	0.483824i
$154$	−2.63505	−	5.76994i	−0.212338	−	0.464955i
$155$	−3.57385	+	2.29677i	−0.287058	+	0.184481i
$156$	0.0168439	−	0.117152i	0.00134859	−	0.00937967i
$157$	5.43674	+	3.49398i	0.433899	+	0.278850i	0.739303	−	0.673373i	$-0.235155\pi$
$157$	5.43674	+	3.49398i	0.433899	+	0.278850i	−0.305404	+	0.952223i	$0.598792\pi$
$158$	3.44450	−	3.97516i	0.274030	−	0.316247i
$159$	11.4514	+	3.36244i	0.908156	+	0.266659i
$160$	0.652306			0.0515693
$161$	10.6883	+	0.0604677i	0.842359	+	0.00476552i
$162$	−1.37279			−0.107856
$163$	14.6662	+	4.30640i	1.14875	+	0.337303i	0.800051	−	0.599932i	$-0.204806\pi$
$163$	14.6662	+	4.30640i	1.14875	+	0.337303i	0.348698	+	0.937235i	$0.386624\pi$
$164$	−0.724126	+	0.835686i	−0.0565448	+	0.0652561i
$165$	1.74412	+	1.12088i	0.135780	+	0.0872604i
$166$	1.42282	−	9.89595i	0.110432	−	0.768075i
$167$	12.2681	−	7.88422i	0.949333	−	0.610100i	0.0283068	−	0.999599i	$-0.490988\pi$
$167$	12.2681	−	7.88422i	0.949333	−	0.610100i	0.921027	+	0.389500i	$0.127352\pi$
$168$	−2.68870	−	5.88744i	−0.207438	−	0.454226i
$169$	7.82505	+	9.03059i	0.601927	+	0.694661i
$170$	0.773532	+	5.38004i	0.0593272	+	0.412630i
$171$	0.868997	−	1.90284i	0.0664539	−	0.145514i
$172$	0.208549	−	0.0612356i	0.0159017	−	0.00466917i
$173$	1.78842	−	0.525127i	0.135971	−	0.0399246i	−0.213039	−	0.977044i	$-0.568336\pi$
$173$	1.78842	−	0.525127i	0.135971	−	0.0399246i	0.349010	+	0.937119i	$0.386518\pi$
$174$	3.35740	−	7.35168i	0.254524	−	0.557330i
$175$	−0.317178	−	2.20602i	−0.0239764	−	0.166760i
$176$	5.09913	+	5.88470i	0.384361	+	0.443576i
$177$	−4.75662	−	10.4155i	−0.357529	−	0.782880i
$178$	12.0026	−	7.71362i	0.899635	−	0.578161i
$179$	1.86792	−	12.9917i	0.139615	−	0.971043i	−0.792756	−	0.609539i	$-0.791354\pi$
$179$	1.86792	−	12.9917i	0.139615	−	0.971043i	0.932371	−	0.361504i	$-0.117736\pi$
$180$	−0.194262	−	0.124844i	−0.0144794	−	0.00930536i
$181$	9.52938	−	10.9975i	0.708314	−	0.817437i	−0.281537	−	0.959550i	$-0.590844\pi$
$181$	9.52938	−	10.9975i	0.708314	−	0.817437i	0.989850	+	0.142113i	$0.0453896\pi$
$182$	−3.00926	−	0.883600i	−0.223062	−	0.0654968i
$183$	6.41862			0.474478
$184$	−13.3853	+	3.84815i	−0.986775	+	0.283690i
$185$	5.98498			0.440024
$186$	−5.59569	−	1.64304i	−0.410296	−	0.120474i
$187$	5.37557	−	6.20374i	0.393101	−	0.453662i
$188$	0.739292	+	0.475114i	0.0539184	+	0.0346513i
$189$	−1.58589	+	11.0301i	−0.115357	+	0.802323i
$190$	−1.20791	+	0.776279i	−0.0876313	+	0.0563172i
$191$	6.96203	+	15.2447i	0.503755	+	1.10307i	0.975231	+	0.221191i	$0.0709943\pi$
$191$	6.96203	+	15.2447i	0.503755	+	1.10307i	−0.471476	+	0.881879i	$0.656278\pi$
$192$	5.50540	+	6.35357i	0.397318	+	0.458529i
$193$	2.12000	+	14.7449i	0.152601	+	1.06136i	0.911839	+	0.410549i	$0.134663\pi$
$193$	2.12000	+	14.7449i	0.152601	+	1.06136i	−0.759238	+	0.650813i	$0.774428\pi$
$194$	−0.833396	+	1.82488i	−0.0598344	+	0.131019i
$195$	0.983568	−	0.288802i	0.0704348	−	0.0206815i
$196$	−0.225206	+	0.0661265i	−0.0160862	+	0.00472332i
$197$	−7.85139	+	17.1922i	−0.559389	+	1.22489i	0.392869	+	0.919594i	$0.371483\pi$
$197$	−7.85139	+	17.1922i	−0.559389	+	1.22489i	−0.952258	+	0.305296i	$0.901245\pi$
$198$	−0.810090	−	5.63430i	−0.0575706	−	0.400412i
$199$	−9.61092	−	11.0916i	−0.681300	−	0.786262i	0.304800	−	0.952416i	$-0.401410\pi$
$199$	−9.61092	−	11.0916i	−0.681300	−	0.786262i	−0.986100	+	0.166154i	$0.946865\pi$
$200$	1.20640	+	2.64164i	0.0853050	+	0.186792i
$201$	3.44742	−	2.21552i	0.243163	−	0.156271i
$202$	−2.34713	+	16.3247i	−0.165144	+	1.14860i
$203$	11.0382	+	7.09382i	0.774730	+	0.497889i
$204$	0.299368	−	0.345489i	0.0209599	−	0.0241891i
$205$	−9.18918	−	2.69819i	−0.641800	−	0.188450i
$206$	−23.1720			−1.61447
$207$	9.18770	+	2.75431i	0.638589	+	0.191437i
$208$	3.84999			0.266949
$209$	2.08065	+	0.610933i	0.143921	+	0.0422591i
$210$	2.00357	−	2.31224i	0.138260	−	0.159560i
$211$	0.131272	+	0.0843634i	0.00903714	+	0.00580782i	0.545152	−	0.838337i	$-0.316472\pi$
$211$	0.131272	+	0.0843634i	0.00903714	+	0.00580782i	−0.536114	+	0.844145i	$0.680108\pi$
$212$	0.196109	−	1.36397i	0.0134688	−	0.0936777i
$213$	−8.50074	+	5.46309i	−0.582461	+	0.374325i
$214$	−2.51233	−	5.50124i	−0.171740	−	0.376057i
$215$	1.23278	+	1.42270i	0.0840749	+	0.0970276i
$216$	−2.06646	−	14.3726i	−0.140605	−	0.977929i
$217$	3.93318	−	8.61247i	0.267002	−	0.584653i
$218$	−24.0093	+	7.04976i	−1.62611	+	0.477470i
$219$	8.73070	−	2.56357i	0.589966	−	0.173230i
$220$	0.0994404	−	0.217744i	0.00670427	−	0.0146803i
$221$	−0.577615	−	4.01740i	−0.0388546	−	0.270240i
$222$	5.38040	+	6.20931i	0.361109	+	0.416742i
$223$	−8.21192	−	17.9816i	−0.549911	−	1.20414i	−0.956823	−	0.290670i	$-0.906122\pi$
$223$	−8.21192	−	17.9816i	−0.549911	−	1.20414i	0.406912	−	0.913467i	$-0.366605\pi$
$224$	−1.22301	+	0.785983i	−0.0817161	+	0.0525157i
$225$	0.284630	−	1.97964i	0.0189753	−	0.131976i
$226$	−11.9229	−	7.66236i	−0.793098	−	0.509693i
$227$	−8.62362	+	9.95219i	−0.572370	+	0.660550i	−0.965946	−	0.258742i	$-0.916692\pi$
$227$	−8.62362	+	9.95219i	−0.572370	+	0.660550i	0.393577	+	0.919292i	$0.371238\pi$
$228$	0.115872	+	0.0340231i	0.00767381	+	0.00225323i
$229$	−13.1012			−0.865752			−0.432876	−	0.901454i	$-0.642501\pi$
$229$	−13.1012			−0.865752			−0.432876	+	0.901454i	$0.642501\pi$
$230$	−4.28316	−	4.99990i	−0.282423	−	0.329684i
$231$	−4.62065			−0.304017
$232$	−16.4047	−	4.81685i	−1.07702	−	0.316242i
$233$	6.68832	−	7.71874i	0.438167	−	0.505671i	−0.493119	−	0.869962i	$-0.664143\pi$
$233$	6.68832	−	7.71874i	0.438167	−	0.505671i	0.931285	+	0.364291i	$0.118689\pi$
$234$	−2.36768	−	1.52161i	−0.154780	−	0.0994710i
$235$	−1.08320	+	7.53383i	−0.0706602	+	0.491453i
$236$	−1.11218	+	0.714752i	−0.0723964	+	0.0465264i
$237$	−1.59168	−	3.48530i	−0.103391	−	0.226394i
$238$	−7.93287	−	9.15502i	−0.514212	−	0.593432i
$239$	3.92361	+	27.2893i	0.253797	+	1.76520i	0.574967	+	0.818177i	$0.305015\pi$
$239$	3.92361	+	27.2893i	0.253797	+	1.76520i	−0.321170	+	0.947022i	$0.604076\pi$
$240$	−1.56019	+	3.41635i	−0.100710	+	0.220524i
$241$	14.6163	−	4.29174i	0.941521	−	0.276456i	0.225269	−	0.974297i	$-0.427674\pi$
$241$	14.6163	−	4.29174i	0.941521	−	0.276456i	0.716253	+	0.697841i	$0.245856\pi$
$242$	−8.82729	+	2.59193i	−0.567439	+	0.166615i
$243$	−6.64664	+	14.5541i	−0.426382	+	0.933647i
$244$	−0.105468	−	0.733548i	−0.00675192	−	0.0469606i
$245$	−1.33124	−	1.53634i	−0.0850500	−	0.0981529i
$246$	−5.46160	−	11.9592i	−0.348219	−	0.762493i
$247$	0.901978	−	0.579666i	0.0573915	−	0.0368833i
$248$	−1.75577	+	12.2116i	−0.111491	+	0.775439i
$249$	−6.12667	−	3.93737i	−0.388262	−	0.249521i
$250$	−0.898983	+	1.03748i	−0.0568567	+	0.0656161i
$251$	−14.1510	−	4.15511i	−0.893203	−	0.262268i	−0.197248	−	0.980354i	$-0.563200\pi$
$251$	−14.1510	−	4.15511i	−0.893203	−	0.262268i	−0.695955	+	0.718086i	$0.745019\pi$
$252$	0.514652			0.0324200
$253$	−1.47068	+	9.83355i	−0.0924609	+	0.618230i
$254$	11.3180			0.710152
$255$	3.79898	+	1.11548i	0.237902	+	0.0698542i
$256$	1.80848	−	2.08709i	0.113030	−	0.130443i
$257$	2.31178	+	1.48569i	0.144205	+	0.0926749i	0.610754	−	0.791820i	$-0.290866\pi$
$257$	2.31178	+	1.48569i	0.144205	+	0.0926749i	−0.466549	+	0.884495i	$0.654503\pi$
$258$	−0.367781	+	2.55797i	−0.0228971	+	0.159253i
$259$	−11.2213	+	7.21148i	−0.697257	+	0.448100i
$260$	−0.0491672	−	0.107661i	−0.00304922	−	0.00667686i
$261$	7.71076	+	8.89870i	0.477284	+	0.550815i
$262$	−0.803915	−	5.59135i	−0.0496660	−	0.345435i
$263$	−11.4364	+	25.0422i	−0.705198	+	1.54417i	0.128354	+	0.991728i	$0.459031\pi$
$263$	−11.4364	+	25.0422i	−0.705198	+	1.54417i	−0.833552	+	0.552441i	$0.813697\pi$
$264$	5.77696	−	1.69627i	0.355547	−	0.104398i
$265$	11.4514	−	3.36244i	0.703454	−	0.206553i
$266$	1.32936	−	2.91090i	0.0815086	−	0.178479i
$267$	−1.47910	−	10.2874i	−0.0905194	−	0.629576i
$268$	−0.309847	−	0.357582i	−0.0189269	−	0.0218428i
$269$	6.34388	+	13.8912i	0.386793	+	0.846959i	0.998440	+	0.0558282i	$0.0177799\pi$
$269$	6.34388	+	13.8912i	0.386793	+	0.846959i	−0.611647	+	0.791131i	$0.709493\pi$
$270$	5.77430	−	3.71092i	0.351413	−	0.225839i
$271$	3.44290	−	23.9459i	0.209141	−	1.45461i	−0.566828	−	0.823836i	$-0.691830\pi$
$271$	3.44290	−	23.9459i	0.209141	−	1.45461i	0.775969	−	0.630771i	$-0.217261\pi$
$272$	12.5098	+	8.03954i	0.758516	+	0.487469i
$273$	−1.49611	+	1.72661i	−0.0905490	+	0.104499i
$274$	−15.6043	−	4.58183i	−0.942689	−	0.276799i
$275$	2.07324			0.125021
$276$	−0.0819027	+	0.547635i	−0.00492997	+	0.0329637i
$277$	0.826290			0.0496470			0.0248235	−	0.999692i	$-0.492098\pi$
$277$	0.826290			0.0496470			0.0248235	+	0.999692i	$0.492098\pi$
$278$	−2.98253	−	0.875751i	−0.178880	−	0.0525241i
$279$	5.56401	−	6.42121i	0.333109	−	0.384428i
$280$	−5.44487	−	3.49920i	−0.325393	−	0.209117i
$281$	3.78346	−	26.3146i	0.225702	−	1.56979i	−0.490210	−	0.871604i	$-0.663080\pi$
$281$	3.78346	−	26.3146i	0.225702	−	1.56979i	0.715912	−	0.698190i	$-0.246011\pi$
$282$	−8.78999	+	5.64898i	−0.523436	+	0.336392i
$283$	5.78812	+	12.6742i	0.344068	+	0.753404i	0.999999	−	0.00141703i	$-0.000451056\pi$
$283$	5.78812	+	12.6742i	0.344068	+	0.753404i	−0.655931	+	0.754821i	$0.727724\pi$
$284$	0.764028	+	0.881735i	0.0453367	+	0.0523213i
$285$	0.148853	+	1.03529i	0.00881727	+	0.0613254i
$286$	1.21199	−	2.65388i	0.0716663	−	0.156927i
$287$	20.4800	−	6.01347i	1.20890	−	0.354964i
$288$	−1.25177	+	0.367552i	−0.0737610	+	0.0216582i
$289$	−0.549771	+	1.20383i	−0.0323395	+	0.0708136i
$290$	−1.15019	−	7.99978i	−0.0675418	−	0.469763i
$291$	0.957008	+	1.10445i	0.0561008	+	0.0647438i
$292$	−0.436435	−	0.955660i	−0.0255405	−	0.0559258i
$293$	22.4409	−	14.4219i	1.31101	−	0.842537i	0.316647	−	0.948543i	$-0.397443\pi$
$293$	22.4409	−	14.4219i	1.31101	−	0.842537i	0.994365	+	0.106007i	$0.0338065\pi$
$294$	0.397156	−	2.76228i	0.0231626	−	0.161099i
$295$	−9.63258	−	6.19048i	−0.560831	−	0.360424i
$296$	11.3820	−	13.1355i	0.661566	−	0.763488i
$297$	−9.94631	−	2.92050i	−0.577143	−	0.169465i
$298$	25.8269			1.49611
$299$	3.19833	+	3.73355i	0.184964	+	0.215916i
$300$	0.115460			0.00666607
$301$	−4.02561	−	1.18203i	−0.232032	−	0.0681308i
$302$	−16.2213	+	18.7204i	−0.933431	+	1.07724i
$303$	10.1068	+	6.49522i	0.580618	+	0.373140i
$304$	−0.559053	+	3.88830i	−0.0320639	+	0.223009i
$305$	5.39968	−	3.47017i	0.309185	−	0.198701i
$306$	−4.51586	−	9.88835i	−0.258155	−	0.565280i
$307$	8.78398	+	10.1373i	0.501328	+	0.578564i	0.948857	−	0.315706i	$-0.102241\pi$
$307$	8.78398	+	10.1373i	0.501328	+	0.578564i	−0.447529	+	0.894269i	$0.647696\pi$
$308$	0.0759248	+	0.528069i	0.00432622	+	0.0300895i
$309$	−7.01202	+	15.3542i	−0.398900	+	0.873469i
$310$	−5.59569	+	1.64304i	−0.317814	+	0.0933185i
$311$	−13.6718	+	4.01440i	−0.775256	+	0.227636i	−0.645346	−	0.763890i	$-0.723287\pi$
$311$	−13.6718	+	4.01440i	−0.775256	+	0.227636i	−0.129910	+	0.991526i	$0.541469\pi$
$312$	1.23667	−	2.70792i	0.0700124	−	0.153306i
$313$	−2.61950	−	18.2190i	−0.148063	−	1.02980i	−0.919386	−	0.393356i	$-0.871314\pi$
$313$	−2.61950	−	18.2190i	−0.148063	−	1.02980i	0.771323	−	0.636444i	$-0.219595\pi$
$314$	5.80983	+	6.70490i	0.327868	+	0.378379i
$315$	1.85168	+	4.05461i	0.104330	+	0.228451i
$316$	−0.372162	+	0.239174i	−0.0209357	+	0.0134546i
$317$	0.296225	−	2.06029i	0.0166377	−	0.115717i	−0.979810	−	0.199930i	$-0.935928\pi$
$317$	0.296225	−	2.06029i	0.0166377	−	0.115717i	0.996448	+	0.0842128i	$0.0268375\pi$
$318$	13.7831	+	8.85786i	0.772917	+	0.496724i
$319$	−7.99314	+	9.22458i	−0.447530	+	0.516477i
$320$	8.06643	+	2.36852i	0.450927	+	0.132404i
$321$	−4.40547			−0.245889
$322$	14.0551	+	4.21345i	0.783258	+	0.234806i
$323$	4.14125			0.230426
$324$	0.110783	+	0.0325288i	0.00615460	+	0.00180715i
$325$	0.671292	−	0.774713i	0.0372366	−	0.0429733i
$326$	17.6525	+	11.3446i	0.977682	+	0.628318i
$327$	−2.59409	+	18.0423i	−0.143453	+	0.997741i
$328$	−23.3975	+	15.0367i	−1.29191	+	0.830260i
$329$	−7.04683	−	15.4304i	−0.388504	−	0.850706i
$330$	1.86381	+	2.15095i	0.102599	+	0.118406i
$331$	−4.67886	−	32.5422i	−0.257173	−	1.78868i	−0.552736	−	0.833357i	$-0.686416\pi$
$331$	−4.67886	−	32.5422i	−0.257173	−	1.78868i	0.295562	−	0.955323i	$-0.404493\pi$
$332$	−0.349310	+	0.764881i	−0.0191709	+	0.0419783i
$333$	−11.4851	+	3.37233i	−0.629379	+	0.184802i
$334$	19.2086	−	5.64014i	1.05105	−	0.308615i
$335$	1.70235	−	3.72764i	0.0930095	−	0.203662i
$336$	−1.19124	−	8.28527i	−0.0649876	−	0.451998i
$337$	−3.72890	−	4.30338i	−0.203126	−	0.234420i	0.645042	−	0.764147i	$-0.276840\pi$
$337$	−3.72890	−	4.30338i	−0.203126	−	0.234420i	−0.848168	+	0.529727i	$0.822294\pi$
$338$	6.81433	+	14.9213i	0.370651	+	0.811612i
$339$	−8.68517	+	5.58162i	−0.471714	+	0.303152i
$340$	0.0650588	−	0.452494i	0.00352831	−	0.0245399i
$341$	7.40945	+	4.76177i	0.401244	+	0.257864i
$342$	1.88056	−	2.17029i	0.101689	−	0.117356i
$343$	19.3161	+	5.67173i	1.04297	+	0.306245i
$344$	5.46694			0.294758
$345$	−4.60914	+	1.32509i	−0.248148	+	0.0713403i
$346$	2.55876			0.137560
$347$	6.75284	+	1.98281i	0.362511	+	0.106443i	0.457916	−	0.888996i	$-0.348596\pi$
$347$	6.75284	+	1.98281i	0.362511	+	0.106443i	−0.0954043	+	0.995439i	$0.530414\pi$
$348$	−0.445141	+	0.513720i	−0.0238621	+	0.0275383i
$349$	−19.1203	−	12.2879i	−1.02349	−	0.657754i	−0.0826359	−	0.996580i	$-0.526334\pi$
$349$	−19.1203	−	12.2879i	−1.02349	−	0.657754i	−0.940849	+	0.338826i	$0.889970\pi$
$350$	0.435418	−	3.02840i	0.0232740	−	0.161875i
$351$	−4.31181	+	2.77103i	−0.230147	+	0.147907i
$352$	−0.561803	−	1.23018i	−0.0299442	−	0.0655686i
$353$	−18.1886	−	20.9908i	−0.968083	−	1.11723i	−0.993068	−	0.117539i	$-0.962499\pi$
$353$	−18.1886	−	20.9908i	−0.968083	−	1.11723i	0.0249855	−	0.999688i	$-0.492046\pi$
$354$	−2.23701	−	15.5588i	−0.118896	−	0.826940i
$355$	−4.19771	+	9.19169i	−0.222791	+	0.487844i
$356$	−1.15138	+	0.338076i	−0.0610231	+	0.0179180i
$357$	−8.46682	+	2.48608i	−0.448112	+	0.131577i
$358$	7.48502	−	16.3899i	0.395596	−	0.866233i
$359$	1.92267	+	13.3725i	0.101475	+	0.705771i	0.975517	+	0.219922i	$0.0705804\pi$
$359$	1.92267	+	13.3725i	0.101475	+	0.705771i	−0.874043	+	0.485849i	$0.838511\pi$
$360$	−3.80353	−	4.38950i	−0.200463	−	0.231347i
$361$	−7.43843	−	16.2879i	−0.391496	−	0.857257i
$362$	16.8053	−	10.8001i	0.883265	−	0.567640i
$363$	−0.953746	+	6.63345i	−0.0500587	+	0.348166i
$364$	0.221908	+	0.142612i	0.0116311	+	0.00747488i
$365$	5.95877	−	6.87678i	0.311896	−	0.359947i
$366$	8.45446	+	2.48245i	0.441922	+	0.129760i
$367$	6.91397			0.360906			0.180453	−	0.983584i	$-0.442244\pi$
$367$	6.91397			0.360906			0.180453	+	0.983584i	$0.442244\pi$
$368$	−18.0117	−	0.101898i	−0.938922	−	0.00531182i
$369$	19.1542			0.997130
$370$	7.88329	+	2.31474i	0.409832	+	0.120338i
$371$	−17.4188	+	20.1024i	−0.904341	+	1.04366i
$372$	0.412635	+	0.265185i	0.0213941	+	0.0137492i
$373$	2.67794	−	18.6255i	0.138658	−	0.964391i	−0.795098	−	0.606481i	$-0.792580\pi$
$373$	2.67794	−	18.6255i	0.138658	−	0.964391i	0.933756	−	0.357910i	$-0.116510\pi$
$374$	9.47993	−	6.09238i	0.490196	−	0.315030i
$375$	0.415415	+	0.909632i	0.0214519	+	0.0469732i
$376$	14.4749	+	16.7049i	0.746485	+	0.861490i
$377$	0.858878	+	5.97363i	0.0442345	+	0.307657i
$378$	−6.35489	+	13.9153i	−0.326860	+	0.715724i
$379$	30.5138	−	8.95965i	1.56739	−	0.460226i	0.621147	−	0.783694i	$-0.286667\pi$
$379$	30.5138	−	8.95965i	1.56739	−	0.460226i	0.946239	+	0.323467i	$0.104849\pi$
$380$	0.115872	−	0.0340231i	0.00594411	−	0.00174535i
$381$	3.42490	−	7.49948i	0.175463	−	0.384210i
$382$	3.27421	+	22.7726i	0.167523	+	1.16515i
$383$	−14.2255	−	16.4171i	−0.726890	−	0.838875i	0.265228	−	0.964186i	$-0.414553\pi$
$383$	−14.2255	−	16.4171i	−0.726890	−	0.838875i	−0.992118	+	0.125310i	$0.960007\pi$
$384$	4.25234	+	9.31132i	0.217001	+	0.475166i
$385$	−3.88714	+	2.49811i	−0.198107	+	0.127316i
$386$	−2.91030	+	20.2416i	−0.148131	+	1.03027i
$387$	−3.16733	−	2.03552i	−0.161005	−	0.103471i
$388$	0.110496	−	0.127519i	0.00560958	−	0.00647380i
$389$	−26.2813	−	7.71690i	−1.33252	−	0.391262i	−0.463523	−	0.886085i	$-0.653415\pi$
$389$	−26.2813	−	7.71690i	−1.33252	−	0.391262i	−0.868994	+	0.494823i	$0.835233\pi$
$390$	1.40723			0.0712579
$391$	2.59597	+	18.8102i	0.131284	+	0.951271i
$392$	−5.90358			−0.298176
$393$	−3.94820	−	1.15930i	−0.199160	−	0.0584787i
$394$	−16.9909	+	19.6085i	−0.855989	+	0.987864i
$395$	−3.22330	−	2.07149i	−0.162182	−	0.104228i
$396$	−0.0681335	+	0.473879i	−0.00342384	+	0.0238133i
$397$	−13.3628	+	8.58774i	−0.670659	+	0.431006i	−0.831163	−	0.556029i	$-0.812324\pi$
$397$	−13.3628	+	8.58774i	−0.670659	+	0.431006i	0.160504	+	0.987035i	$0.448688\pi$
$398$	−8.36953	−	18.3267i	−0.419526	−	0.918635i
$399$	−1.52654	−	1.76172i	−0.0764226	−	0.0881964i
$400$	0.534499	+	3.71752i	0.0267249	+	0.185876i
$401$	7.96308	−	17.4367i	0.397657	−	0.870748i	−0.599845	−	0.800116i	$-0.704771\pi$
$401$	7.96308	−	17.4367i	0.397657	−	0.870748i	0.997502	−	0.0706320i	$-0.0225016\pi$
$402$	5.39774	−	1.58492i	0.269215	−	0.0790487i
$403$	4.17843	−	1.22690i	0.208143	−	0.0611162i
$404$	0.576232	−	1.26177i	0.0286686	−	0.0627755i
$405$	0.142315	+	0.989821i	0.00707168	+	0.0491846i
$406$	11.7957	+	13.6129i	0.585410	+	0.675599i
$407$	−5.15460	−	11.2870i	−0.255504	−	0.559476i
$408$	9.67297	−	6.21644i	0.478883	−	0.307760i
$409$	−0.531076	+	3.69371i	−0.0262600	+	0.182642i	−0.998730	−	0.0503867i	$-0.983955\pi$
$409$	−0.531076	+	3.69371i	−0.0262600	+	0.182642i	0.972470	+	0.233029i	$0.0748637\pi$
$410$	−11.0602	−	7.10798i	−0.546226	−	0.351038i
$411$	−7.75797	+	8.95318i	−0.382673	+	0.441628i
$412$	1.86996	+	0.549071i	0.0921265	+	0.0270508i
$413$	25.5193			1.25572
$414$	11.0366	+	7.18133i	0.542419	+	0.352943i
$415$	−7.28279			−0.357498
$416$	−0.641588	−	0.188387i	−0.0314564	−	0.00923644i
$417$	−1.48282	+	1.71127i	−0.0726142	+	0.0838013i
$418$	2.50430	+	1.60941i	0.122489	+	0.0787190i
$419$	−1.45389	+	10.1120i	−0.0710270	+	0.494004i	0.922994	+	0.384814i	$0.125735\pi$
$419$	−1.45389	+	10.1120i	−0.0710270	+	0.494004i	−0.994021	+	0.109189i	$0.965175\pi$
$420$	−0.216476	+	0.139121i	−0.0105630	+	0.00678840i
$421$	10.8236	+	23.7004i	0.527510	+	1.15509i	0.966517	+	0.256602i	$0.0826030\pi$
$421$	10.8236	+	23.7004i	0.527510	+	1.15509i	−0.439007	+	0.898484i	$0.644670\pi$
$422$	0.140280	+	0.161892i	0.00682875	+	0.00788079i
$423$	−2.16640	−	15.0677i	−0.105334	−	0.732614i
$424$	14.3982	−	31.5276i	0.699236	−	1.53111i
$425$	3.79898	−	1.11548i	0.184278	−	0.0541088i
$426$	−13.3099	+	3.90813i	−0.644866	+	0.189350i
$427$	−5.94260	+	13.0125i	−0.287583	+	0.629718i
$428$	0.0723890	+	0.503477i	0.00349906	+	0.0243365i
$429$	−1.39175	−	1.60617i	−0.0671944	−	0.0775465i
$430$	1.07355	+	2.35074i	0.0517711	+	0.113363i
$431$	−4.59454	+	2.95273i	−0.221311	+	0.142228i	−0.646599	−	0.762830i	$-0.723809\pi$
$431$	−4.59454	+	2.95273i	−0.221311	+	0.142228i	0.425288	+	0.905058i	$0.360173\pi$
$432$	2.67249	−	18.5876i	0.128580	−	0.894297i
$433$	−28.8567	−	18.5451i	−1.38677	−	0.891221i	−0.387239	−	0.921979i	$-0.626571\pi$
$433$	−28.8567	−	18.5451i	−1.38677	−	0.891221i	−0.999527	+	0.0307586i	$0.990208\pi$
$434$	8.51165	−	9.82297i	0.408572	−	0.471518i
$435$	−5.64885	−	1.65865i	−0.270842	−	0.0795263i
$436$	2.10458			0.100791
$437$	−4.23513	+	2.68802i	−0.202594	+	0.128585i
$438$	12.4914			0.596861
$439$	38.5316	+	11.3139i	1.83901	+	0.539982i	0.999992	−	0.00411984i	$-0.00131139\pi$
$439$	38.5316	+	11.3139i	1.83901	+	0.539982i	0.839019	+	0.544102i	$0.183130\pi$
$440$	3.94282	−	4.55025i	0.187966	−	0.216925i
$441$	3.42031	+	2.19810i	0.162872	+	0.104671i
$442$	0.792942	−	5.51503i	0.0377164	−	0.262323i
$443$	−1.99646	+	1.28305i	−0.0948546	+	0.0609593i	−0.587208	−	0.809436i	$-0.699773\pi$
$443$	−1.99646	+	1.28305i	−0.0948546	+	0.0609593i	0.492354	+	0.870395i	$0.336137\pi$
$444$	−0.287062	−	0.628578i	−0.0136233	−	0.0298310i
$445$	−6.80606	−	7.85461i	−0.322638	−	0.372344i
$446$	−3.86203	−	26.8610i	−0.182872	−	1.27191i
$447$	7.81540	−	17.1133i	0.369656	−	0.809433i
$448$	−17.9777	+	5.27874i	−0.849368	+	0.249397i
$449$	−21.7260	+	6.37934i	−1.02531	+	0.301060i	−0.750804	−	0.660525i	$-0.770334\pi$
$449$	−21.7260	+	6.37934i	−1.02531	+	0.301060i	−0.274510	+	0.961584i	$0.588516\pi$
$450$	1.14055	−	2.49746i	0.0537661	−	0.117731i
$451$	2.82576	+	19.6536i	0.133060	+	0.925451i
$452$	0.780604	+	0.900865i	0.0367165	+	0.0423731i
$453$	7.49577	+	16.4134i	0.352182	+	0.771171i
$454$	−15.2079	+	9.77354i	−0.713744	+	0.458695i
$455$	−0.325137	+	2.26138i	−0.0152426	+	0.106015i
$456$	2.55529	+	1.64219i	0.119663	+	0.0769024i
$457$	−13.7735	+	15.8955i	−0.644297	+	0.743558i	−0.980128	−	0.198364i	$-0.936437\pi$
$457$	−13.7735	+	15.8955i	−0.644297	+	0.743558i	0.335832	+	0.941922i	$0.390983\pi$
$458$	−17.2566	−	5.06700i	−0.806349	−	0.236765i
$459$	−19.7968			−0.924037
$460$	0.227173	+	0.504979i	0.0105920	+	0.0235448i
$461$	−10.7755			−0.501863			−0.250932	−	0.968005i	$-0.580737\pi$
$461$	−10.7755			−0.501863			−0.250932	+	0.968005i	$0.580737\pi$
$462$	−6.08622	−	1.78708i	−0.283157	−	0.0831423i
$463$	19.8770	−	22.9392i	0.923761	−	1.06608i	−0.0738690	−	0.997268i	$-0.523535\pi$
$463$	19.8770	−	22.9392i	0.923761	−	1.06608i	0.997630	−	0.0688089i	$-0.0219199\pi$
$464$	−18.6012	−	11.9543i	−0.863541	−	0.554964i
$465$	−0.604588	+	4.20500i	−0.0280371	+	0.195002i
$466$	11.7950	−	7.58019i	0.546393	−	0.351145i
$467$	−8.86498	−	19.4116i	−0.410223	−	0.898262i	−0.996131	−	0.0878846i	$-0.971989\pi$
$467$	−8.86498	−	19.4116i	−0.410223	−	0.898262i	0.585908	−	0.810377i	$-0.300738\pi$
$468$	0.155014	+	0.178896i	0.00716554	+	0.00826948i
$469$	1.29978	+	9.04019i	0.0600184	+	0.417437i
$470$	−4.34054	+	9.50445i	−0.200214	+	0.438408i
$471$	6.20088	−	1.82074i	0.285721	−	0.0838954i
$472$	−31.9055	+	9.36829i	−1.46857	+	0.431211i
$473$	1.62132	−	3.55020i	0.0745484	−	0.163238i
$474$	−0.748561	−	5.20636i	−0.0343825	−	0.239136i
$475$	0.684944	+	0.790468i	0.0314274	+	0.0362692i
$476$	0.423244	+	0.926776i	0.0193994	+	0.0424787i
$477$	−20.0805	+	12.9049i	−0.919422	+	0.590876i
$478$	−5.38627	+	37.4624i	−0.246362	+	1.71349i
$479$	−19.4779	−	12.5177i	−0.889966	−	0.571947i	0.0138325	−	0.999904i	$-0.495597\pi$
$479$	−19.4779	−	12.5177i	−0.889966	−	0.571947i	−0.903799	+	0.427958i	$0.859233\pi$
$480$	0.427170	−	0.492980i	0.0194975	−	0.0225014i
$481$	−5.88664	−	1.72847i	−0.268408	−	0.0788116i
$482$	20.9122			0.952524
$483$	7.04507	−	8.03811i	0.320562	−	0.365746i
$484$	0.773772			0.0351715
$485$	1.40220	+	0.411722i	0.0636704	+	0.0186953i
$486$	−14.3837	+	16.5997i	−0.652459	+	0.752978i
$487$	3.38506	+	2.17545i	0.153392	+	0.0985790i	0.615085	−	0.788461i	$-0.289122\pi$
$487$	3.38506	+	2.17545i	0.153392	+	0.0985790i	−0.461693	+	0.887040i	$0.652758\pi$
$488$	2.65277	−	18.4504i	0.120085	−	0.835210i
$489$	12.8589	−	8.26391i	0.581500	−	0.373707i
$490$	−1.15929	−	2.53850i	−0.0523715	−	0.114678i
$491$	2.57592	+	2.97277i	0.116250	+	0.134159i	0.810892	−	0.585196i	$-0.198983\pi$
$491$	2.57592	+	2.97277i	0.116250	+	0.134159i	−0.694642	+	0.719356i	$0.744437\pi$
$492$	0.157368	+	1.09452i	0.00709468	+	0.0493446i
$493$	−9.68336	+	21.2036i	−0.436117	+	0.954962i
$494$	1.41226	−	0.414676i	0.0635404	−	0.0186572i
$495$	−3.97852	+	1.16820i	−0.178821	+	0.0525067i
$496$	−6.62808	+	14.5135i	−0.297610	+	0.651674i
$497$	−3.20504	−	22.2915i	−0.143766	−	0.999911i
$498$	−6.54711	−	7.55577i	−0.293383	−	0.338582i
$499$	0.0891762	+	0.195269i	0.00399208	+	0.00874143i	0.911618	−	0.411040i	$-0.134834\pi$
$499$	0.0891762	+	0.195269i	0.00399208	+	0.00874143i	−0.907625	+	0.419781i	$0.862107\pi$
$500$	0.0971309	−	0.0624222i	0.00434383	−	0.00279161i
$501$	2.07539	−	14.4347i	0.0927217	−	0.644894i
$502$	−17.0324	−	10.9460i	−0.760191	−	0.488545i
$503$	−5.39214	+	6.22287i	−0.240424	+	0.277464i	−0.863119	−	0.505001i	$-0.831492\pi$
$503$	−5.39214	+	6.22287i	−0.240424	+	0.277464i	0.622695	+	0.782465i	$0.286038\pi$
$504$	12.4203	+	3.64693i	0.553244	+	0.162447i
$505$	12.0139			0.534613
$506$	−5.74036	+	12.3837i	−0.255190	+	0.550525i
$507$	11.9492			0.530682
$508$	−0.913351	−	0.268184i	−0.0405234	−	0.0118987i
$509$	−8.08242	+	9.32761i	−0.358247	+	0.413439i	−0.906052	−	0.423167i	$-0.860918\pi$
$509$	−8.08242	+	9.32761i	−0.358247	+	0.413439i	0.547805	+	0.836606i	$0.315464\pi$
$510$	4.57252	+	2.93858i	0.202474	+	0.130122i
$511$	−2.88609	+	20.0732i	−0.127673	+	0.887987i
$512$	20.4120	−	13.1180i	0.902093	−	0.579740i
$513$	−2.17249	−	4.75710i	−0.0959179	−	0.210031i
$514$	2.47042	+	2.85102i	0.108966	+	0.125753i
$515$	2.40221	+	16.7077i	0.105854	+	0.736231i
$516$	0.0902920	−	0.197712i	0.00397488	−	0.00870378i
$517$	15.1409	−	4.44576i	0.665894	−	0.195524i
$518$	−17.5695	+	5.15888i	−0.771961	+	0.226668i
$519$	0.774300	−	1.69548i	0.0339880	−	0.0744233i
$520$	−0.423663	−	2.94664i	−0.0185788	−	0.129219i
$521$	12.2617	+	14.1507i	0.537194	+	0.619955i	0.957851	−	0.287265i	$-0.0927460\pi$
$521$	12.2617	+	14.1507i	0.537194	+	0.619955i	−0.420657	+	0.907220i	$0.638201\pi$
$522$	6.71480	+	14.7034i	0.293899	+	0.643549i
$523$	28.9341	−	18.5948i	1.26520	−	0.813094i	0.276212	−	0.961097i	$-0.410921\pi$
$523$	28.9341	−	18.5948i	1.26520	−	0.813094i	0.988987	+	0.148003i	$0.0472844\pi$
$524$	−0.0676142	+	0.470267i	−0.00295374	+	0.0205437i
$525$	−1.87491	−	1.20493i	−0.0818277	−	0.0525875i
$526$	−24.7491	+	28.5619i	−1.07911	+	1.24536i
$527$	16.1390	+	4.73884i	0.703025	+	0.206427i
$528$	7.78658			0.338867
$529$	−14.8642	−	17.5515i	−0.646268	−	0.763111i
$530$	16.3840			0.711675
$531$	21.9729	+	6.45183i	0.953543	+	0.279986i
$532$	−0.176254	+	0.203408i	−0.00764158	+	0.00881885i
$533$	8.25894	+	5.30770i	0.357735	+	0.229902i
$534$	2.03048	−	14.1223i	0.0878677	−	0.611133i
$535$	−3.70612	+	2.38178i	−0.160229	+	0.102973i
$536$	−4.94376	−	10.8253i	−0.213538	−	0.467583i
$537$	−8.59522	−	9.91941i	−0.370911	−	0.428054i
$538$	2.98350	+	20.7507i	0.128628	+	0.894625i
$539$	−1.75082	+	3.83375i	−0.0754130	+	0.165131i
$540$	−0.553914	+	0.162644i	−0.0238367	+	0.00699907i
$541$	8.52969	−	2.50454i	0.366720	−	0.107679i	−0.0931803	−	0.995649i	$-0.529703\pi$
$541$	8.52969	−	2.50454i	0.366720	−	0.107679i	0.459900	+	0.887971i	$0.347885\pi$
$542$	13.7962	−	30.2094i	0.592596	−	1.29760i
$543$	−2.07093	−	14.4037i	−0.0888722	−	0.618120i
$544$	−1.69132	−	1.95189i	−0.0725148	−	0.0836865i
$545$	7.57211	+	16.5806i	0.324354	+	0.710235i
$546$	−2.63843	+	1.69562i	−0.112914	+	0.0725656i
$547$	−2.64852	+	18.4209i	−0.113243	+	0.787619i	0.851487	+	0.524376i	$0.175701\pi$
$547$	−2.64852	+	18.4209i	−0.113243	+	0.787619i	−0.964729	+	0.263243i	$0.915208\pi$
$548$	1.15069	+	0.739501i	0.0491548	+	0.0315899i
$549$	−8.40660	+	9.70174i	−0.358785	+	0.414060i
$550$	2.73083	+	0.801844i	0.116443	+	0.0341907i
$551$	−6.15779			−0.262331
$552$	−5.85725	+	12.6359i	−0.249301	+	0.537820i
$553$	8.53940			0.363132
$554$	1.08837	+	0.319575i	0.0462405	+	0.0135774i
$555$	3.91933	−	4.52315i	0.166366	−	0.191997i
$556$	0.219937	+	0.141345i	0.00932740	+	0.00599436i
$557$	5.47182	−	38.0574i	0.231849	−	1.61254i	−0.458248	−	0.888825i	$-0.651523\pi$
$557$	5.47182	−	38.0574i	0.231849	−	1.61254i	0.690096	−	0.723718i	$-0.257568\pi$
$558$	9.81225	−	6.30595i	0.415386	−	0.266952i
$559$	−0.801644	−	1.75536i	−0.0339059	−	0.0742436i
$560$	−5.48149	−	6.32598i	−0.231635	−	0.267321i
$561$	−1.16822	−	8.12517i	−0.0493224	−	0.343045i
$562$	15.1609	−	33.1977i	0.639523	−	1.40036i
$563$	−23.1732	+	6.80428i	−0.976635	+	0.286766i	−0.730835	−	0.682554i	$-0.760869\pi$
$563$	−23.1732	+	6.80428i	−0.976635	+	0.286766i	−0.245801	+	0.969320i	$0.579051\pi$
$564$	0.843201	−	0.247586i	0.0355052	−	0.0104253i
$565$	−4.28878	+	9.39111i	−0.180430	+	0.395087i
$566$	2.72213	+	18.9328i	0.114419	+	0.795805i
$567$	−1.45949	−	1.68434i	−0.0612929	−	0.0707358i
$568$	12.1904	+	26.6933i	0.511500	+	1.12003i
$569$	14.3173	−	9.20115i	0.600211	−	0.385732i	−0.204964	−	0.978770i	$-0.565708\pi$
$569$	14.3173	−	9.20115i	0.600211	−	0.385732i	0.805175	+	0.593037i	$0.202071\pi$
$570$	−0.204343	+	1.42123i	−0.00855897	+	0.0595290i
$571$	−21.2061	−	13.6283i	−0.887446	−	0.570327i	0.0155964	−	0.999878i	$-0.495035\pi$
$571$	−21.2061	−	13.6283i	−0.887446	−	0.570327i	−0.903042	+	0.429551i	$0.858672\pi$
$572$	−0.160691	+	0.185448i	−0.00671884	+	0.00775395i
$573$	16.0804	+	4.72162i	0.671767	+	0.197248i
$574$	29.3016			1.22302
$575$	−3.16106	+	3.60662i	−0.131825	+	0.150407i
$576$	−16.8140			−0.700581
$577$	23.6388	+	6.94098i	0.984096	+	0.288957i	0.733914	−	0.679242i	$-0.237691\pi$
$577$	23.6388	+	6.94098i	0.984096	+	0.288957i	0.250182	+	0.968199i	$0.419510\pi$
$578$	−1.18974	+	1.37303i	−0.0494866	+	0.0571106i
$579$	12.5318	+	8.05368i	0.520802	+	0.334699i
$580$	−0.0967384	+	0.672831i	−0.00401684	+	0.0279378i
$581$	13.6546	−	8.77526i	0.566487	−	0.364059i
$582$	0.833396	+	1.82488i	0.0345454	+	0.0756439i
$583$	−16.2038	−	18.7001i	−0.671092	−	0.774481i
$584$	−3.76067	−	26.1560i	−0.155618	−	1.08234i
$585$	−0.851677	+	1.86491i	−0.0352125	+	0.0771046i
$586$	35.1365	−	10.3170i	1.45147	−	0.426191i
$587$	28.8958	−	8.48458i	1.19266	−	0.350196i	0.375617	−	0.926775i	$-0.377431\pi$
$587$	28.8958	−	8.48458i	1.19266	−	0.350196i	0.817042	+	0.576579i	$0.195613\pi$
$588$	−0.0975036	+	0.213503i	−0.00402098	+	0.00880472i
$589$	0.632362	+	4.39817i	0.0260560	+	0.181223i
$590$	−10.2936	−	11.8795i	−0.423781	−	0.489069i
$591$	7.85139	+	17.1922i	0.322963	+	0.707191i
$592$	18.9098	−	12.1526i	0.777187	−	0.499468i
$593$	1.29455	−	9.00378i	0.0531607	−	0.369741i	−0.945824	−	0.324681i	$-0.894743\pi$
$593$	1.29455	−	9.00378i	0.0531607	−	0.369741i	0.998984	−	0.0450599i	$-0.0143479\pi$
$594$	−11.9715	−	7.69364i	−0.491198	−	0.315674i
$595$	−5.77867	+	6.66894i	−0.236902	+	0.273400i
$596$	−2.08421	−	0.611979i	−0.0853725	−	0.0250676i
$597$	−14.6763			−0.600660
$598$	2.76880	+	6.15473i	0.113225	+	0.251685i
$599$	−10.3891			−0.424487			−0.212244	−	0.977217i	$-0.568077\pi$
$599$	−10.3891			−0.424487			−0.212244	+	0.977217i	$0.568077\pi$
$600$	2.78644	+	0.818172i	0.113756	+	0.0334017i
$601$	−8.58709	+	9.91003i	−0.350275	+	0.404238i	−0.903358	−	0.428888i	$-0.858906\pi$
$601$	−8.58709	+	9.91003i	−0.350275	+	0.404238i	0.553083	+	0.833126i	$0.313451\pi$
$602$	−4.84529	−	3.11388i	−0.197479	−	0.126912i
$603$	−1.16640	+	8.11250i	−0.0474995	+	0.330366i
$604$	1.75263	−	1.12635i	0.0713137	−	0.0458305i
$605$	2.78397	+	6.09605i	0.113185	+	0.247840i
$606$	10.8003	+	12.4642i	0.438733	+	0.506325i
$607$	−5.35147	−	37.2203i	−0.217209	−	1.51072i	−0.748272	−	0.663392i	$-0.769116\pi$
$607$	−5.35147	−	37.2203i	−0.217209	−	1.51072i	0.531063	−	0.847332i	$-0.321793\pi$
$608$	0.283426	−	0.620617i	0.0114944	−	0.0251693i
$609$	12.5896	−	3.69665i	0.510158	−	0.149796i
$610$	8.45446	−	2.48245i	0.342311	−	0.100512i
$611$	3.24118	−	7.09720i	0.131124	−	0.287122i
$612$	0.130118	+	0.904988i	0.00525969	+	0.0365820i
$613$	9.46277	+	10.9206i	0.382198	+	0.441079i	0.913954	−	0.405818i	$-0.133013\pi$
$613$	9.46277	+	10.9206i	0.382198	+	0.441079i	−0.531756	+	0.846897i	$0.678468\pi$
$614$	7.64940	+	16.7498i	0.308705	+	0.675969i
$615$	−8.05679	+	5.17778i	−0.324881	+	0.208788i
$616$	−1.90968	+	13.2821i	−0.0769432	+	0.535152i
$617$	−1.68450	−	1.08256i	−0.0678154	−	0.0435823i	0.506294	−	0.862361i	$-0.331015\pi$
$617$	−1.68450	−	1.08256i	−0.0678154	−	0.0435823i	−0.574109	+	0.818779i	$0.694651\pi$
$618$	−15.1744	+	17.5122i	−0.610406	+	0.704446i
$619$	16.0496	+	4.71258i	0.645087	+	0.189415i	0.587880	−	0.808948i	$-0.299963\pi$
$619$	16.0496	+	4.71258i	0.645087	+	0.189415i	0.0572062	+	0.998362i	$0.481781\pi$
$620$	0.490500			0.0196990
$621$	20.2456	−	12.8498i	0.812427	−	0.515644i
$622$	−19.5608			−0.784316
$623$	22.2250	+	6.52585i	0.890426	+	0.261453i
$624$	2.52121	−	2.90963i	0.100929	−	0.116478i
$625$	0.841254	+	0.540641i	0.0336501	+	0.0216256i
$626$	3.59601	−	25.0108i	0.143726	−	0.999633i
$627$	1.82425	−	1.17237i	0.0728534	−	0.0468200i
$628$	−0.309973	−	0.678747i	−0.0123693	−	0.0270849i
$629$	−15.5181	−	17.9088i	−0.618745	−	0.714070i
$630$	0.870835	+	6.05679i	0.0346949	+	0.241308i
$631$	8.42520	−	18.4486i	0.335402	−	0.734427i	−0.664516	−	0.747274i	$-0.731362\pi$
$631$	8.42520	−	18.4486i	0.335402	−	0.734427i	0.999917	+	0.0128469i	$0.00408942\pi$
$632$	−10.6764	+	3.13486i	−0.424683	+	0.124698i
$633$	0.149723	−	0.0439625i	0.00595094	−	0.00174735i
$634$	1.18702	−	2.59920i	0.0471424	−	0.103227i
$635$	−1.17332	−	8.16060i	−0.0465617	−	0.323844i
$636$	−0.902394	−	1.04142i	−0.0357823	−	0.0412949i
$637$	0.865671	+	1.89556i	0.0342992	+	0.0751047i
$638$	−14.0961	+	9.05900i	−0.558069	+	0.358649i
$639$	2.87614	−	20.0040i	0.113778	−	0.791346i
$640$	8.61138	+	5.53420i	0.340395	+	0.218758i
$641$	−4.19160	+	4.83737i	−0.165558	+	0.191065i	−0.832466	−	0.554075i	$-0.813072\pi$
$641$	−4.19160	+	4.83737i	−0.165558	+	0.191065i	0.666908	+	0.745140i	$0.267617\pi$
$642$	−5.80279	−	1.70385i	−0.229018	−	0.0672457i
$643$	0.222671			0.00878128			0.00439064	−	0.999990i	$-0.498602\pi$
$643$	0.222671			0.00878128			0.00439064	+	0.999990i	$0.498602\pi$
$644$	−1.03439	−	0.673063i	−0.0407608	−	0.0265224i
$645$	1.88251			0.0741237
$646$	5.45477	+	1.60166i	0.214615	+	0.0630167i
$647$	−26.1092	+	30.1316i	−1.02646	+	1.18460i	−0.0438252	+	0.999039i	$0.513954\pi$
$647$	−26.1092	+	30.1316i	−1.02646	+	1.18460i	−0.982633	+	0.185557i	$0.940591\pi$
$648$	2.44306	+	1.57006i	0.0959725	+	0.0616778i
$649$	−3.37844	+	23.4976i	−0.132615	+	0.922360i
$650$	1.18384	−	0.760807i	0.0464340	−	0.0298413i
$651$	−3.93318	−	8.61247i	−0.154154	−	0.337549i
$652$	−1.15573	−	1.33378i	−0.0452619	−	0.0522350i
$653$	3.25524	+	22.6407i	0.127387	+	0.885999i	0.948848	+	0.315734i	$0.102251\pi$
$653$	3.25524	+	22.6407i	0.127387	+	0.885999i	−0.821460	+	0.570266i	$0.806840\pi$
$654$	−10.3949	+	22.7616i	−0.406472	+	0.890050i
$655$	−3.94820	+	1.15930i	−0.154269	+	0.0452974i
$656$	−34.5123	+	10.1337i	−1.34748	+	0.395655i
$657$	−7.55996	+	16.5540i	−0.294942	+	0.645833i
$658$	−3.31409	−	23.0500i	−0.129197	−	0.898583i
$659$	16.6284	+	19.1902i	0.647751	+	0.747545i	0.980725	−	0.195391i	$-0.0625976\pi$
$659$	16.6284	+	19.1902i	0.647751	+	0.747545i	−0.332974	+	0.942936i	$0.608052\pi$
$660$	−0.0994404	−	0.217744i	−0.00387071	−	0.00847568i
$661$	3.12575	−	2.00880i	0.121578	−	0.0781333i	−0.478439	−	0.878121i	$-0.658797\pi$
$661$	3.12575	−	2.00880i	0.121578	−	0.0781333i	0.600016	+	0.799988i	$0.295161\pi$
$662$	6.42307	−	44.6734i	0.249640	−	1.73628i
$663$	−3.41441	−	2.19431i	−0.132605	−	0.0852198i
$664$	−13.8501	+	15.9839i	−0.537490	+	0.620296i
$665$	−2.23667	−	0.656744i	−0.0867342	−	0.0254675i
$666$	−16.4322			−0.636734
$667$	−3.86004	−	27.9695i	−0.149461	−	1.08299i
$668$	−1.68376			−0.0651467
$669$	−18.9673	−	5.56929i	−0.733317	−	0.215321i
$670$	3.68400	−	4.25156i	0.142325	−	0.164252i
$671$	−11.1949	−	7.19450i	−0.432173	−	0.277741i
$672$	−0.206897	+	1.43900i	−0.00798124	+	0.0555107i
$673$	2.75389	−	1.76982i	0.106155	−	0.0682214i	−0.486486	−	0.873688i	$-0.661722\pi$
$673$	2.75389	−	1.76982i	0.106155	−	0.0682214i	0.592641	+	0.805467i	$0.298085\pi$
$674$	−3.24725	−	7.11049i	−0.125080	−	0.273886i
$675$	−3.27430	−	3.77875i	−0.126028	−	0.145444i
$676$	−0.196345	−	1.36561i	−0.00755172	−	0.0525233i
$677$	−8.00017	+	17.5179i	−0.307472	+	0.673269i	−0.998785	−	0.0492865i	$-0.984305\pi$
$677$	−8.00017	+	17.5179i	−0.307472	+	0.673269i	0.691313	+	0.722555i	$0.257033\pi$
$678$	−13.5986	+	3.99292i	−0.522253	+	0.153347i
$679$	−3.12508	+	0.917607i	−0.119930	+	0.0352145i
$680$	4.77656	−	10.4592i	0.183173	−	0.401092i
$681$	1.87409	+	13.0346i	0.0718153	+	0.499487i
$682$	7.91791	+	9.13776i	0.303193	+	0.349903i
$683$	10.9067	+	23.8823i	0.417333	+	0.913831i	0.995215	+	0.0977109i	$0.0311521\pi$
$683$	10.9067	+	23.8823i	0.417333	+	0.913831i	−0.577882	+	0.816120i	$0.696121\pi$
$684$	−0.203186	+	0.130580i	−0.00776901	+	0.00499284i
$685$	−1.68597	+	11.7262i	−0.0644175	+	0.448034i
$686$	23.2492	+	14.9414i	0.887659	+	0.570464i
$687$	−8.57946	+	9.90123i	−0.327327	+	0.377755i
$688$	6.78383	+	1.99191i	0.258631	+	0.0759410i
$689$	−12.2343			−0.466090
$690$	−6.58354	−	0.0372454i	−0.250631	−	0.00141791i
$691$	−41.0885			−1.56308			−0.781541	−	0.623854i	$-0.785566\pi$
$691$	−41.0885			−1.56308			−0.781541	+	0.623854i	$0.785566\pi$
$692$	−0.206490	−	0.0606310i	−0.00784957	−	0.00230484i
$693$	6.05177	−	6.98411i	0.229888	−	0.265304i
$694$	8.12782	+	5.22343i	0.308528	+	0.198279i
$695$	−0.322249	+	2.24129i	−0.0122236	+	0.0850169i
$696$	−14.3831	+	9.24346i	−0.545190	+	0.350373i
$697$	15.7523	+	34.4926i	0.596659	+	1.30650i
$698$	−20.4324	−	23.5802i	−0.773377	−	0.892525i
$699$	−1.45351	−	10.1094i	−0.0549769	−	0.382372i
$700$	−0.106897	+	0.234072i	−0.00404033	+	0.00884709i
$701$	29.9345	−	8.78957i	1.13061	−	0.331977i	0.337664	−	0.941267i	$-0.390363\pi$
$701$	29.9345	−	8.78957i	1.13061	−	0.331977i	0.792948	+	0.609289i	$0.208545\pi$
$702$	−6.75114	+	1.98231i	−0.254805	+	0.0748176i
$703$	2.60047	−	5.69423i	0.0980784	−	0.214762i
$704$	−2.48050	−	17.2523i	−0.0934875	−	0.650220i
$705$	4.98434	+	5.75223i	0.187721	+	0.216642i
$706$	−15.8393	−	34.6832i	−0.596120	−	1.30532i
$707$	−22.5250	+	14.4759i	−0.847140	+	0.544424i
$708$	−0.188147	+	1.30859i	−0.00707098	+	0.0491798i
$709$	−23.4807	−	15.0902i	−0.881838	−	0.566723i	0.0195142	−	0.999810i	$-0.493788\pi$
$709$	−23.4807	−	15.0902i	−0.881838	−	0.566723i	−0.901352	+	0.433087i	$0.857424\pi$
$710$	−9.08409	+	10.4836i	−0.340920	+	0.393442i
$711$	7.35269	+	2.15894i	0.275747	+	0.0809667i
$712$	−30.1824			−1.13113
$713$	−19.5807	+	5.62929i	−0.733304	+	0.210819i
$714$	−12.1138			−0.453349
$715$	−2.03918	−	0.598756i	−0.0762609	−	0.0223922i
$716$	−0.992402	+	1.14529i	−0.0370878	+	0.0428016i
$717$	23.1933	+	14.9054i	0.866170	+	0.556653i
$718$	−2.63941	+	18.3575i	−0.0985020	+	0.685096i
$719$	−8.72996	+	5.61040i	−0.325572	+	0.209233i	−0.693209	−	0.720737i	$-0.743804\pi$
$719$	−8.72996	+	5.61040i	−0.325572	+	0.209233i	0.367636	+	0.929970i	$0.380167\pi$
$720$	−3.12039	−	6.83270i	−0.116290	−	0.254640i
$721$	−24.6356	−	28.4310i	−0.917478	−	1.05883i
$722$	−3.49826	−	24.3309i	−0.130192	−	0.905503i
$723$	6.32818	−	13.8568i	0.235348	−	0.515339i
$724$	−1.61209	+	0.473351i	−0.0599127	+	0.0175920i
$725$	−5.64885	+	1.65865i	−0.209793	+	0.0616008i
$726$	−3.82180	+	8.36857i	−0.141840	+	0.310587i
$727$	2.35904	+	16.4075i	0.0874919	+	0.608519i	0.985644	+	0.168835i	$0.0540006\pi$
$727$	2.35904	+	16.4075i	0.0874919	+	0.608519i	−0.898152	+	0.439684i	$0.855090\pi$
$728$	4.34482	+	5.01419i	0.161030	+	0.185838i
$729$	5.40040	+	11.8252i	0.200015	+	0.437971i
$730$	10.5084	−	6.75334i	0.388934	−	0.249953i
$731$	1.06075	−	7.37767i	0.0392332	−	0.272873i
$732$	−0.623446	−	0.400664i	−0.0230432	−	0.0148090i
$733$	−9.13396	+	10.5411i	−0.337370	+	0.389346i	−0.898932	−	0.438089i	$-0.855655\pi$
$733$	−9.13396	+	10.5411i	−0.337370	+	0.389346i	0.561561	+	0.827435i	$0.310201\pi$
$734$	9.10693	+	2.67404i	0.336143	+	0.0987005i
$735$	−2.03286			−0.0749833
$736$	2.99660	+	0.898325i	0.110456	+	0.0331127i
$737$	−8.49607			−0.312957
$738$	25.2295	+	7.40806i	0.928712	+	0.272695i
$739$	7.96631	−	9.19361i	0.293046	−	0.338193i	−0.590067	−	0.807355i	$-0.700899\pi$
$739$	7.96631	−	9.19361i	0.293046	−	0.338193i	0.883112	+	0.469162i	$0.155444\pi$
$740$	−0.581326	−	0.373596i	−0.0213700	−	0.0137337i
$741$	0.152588	−	1.06127i	0.00560545	−	0.0389867i
$742$	−30.7185	+	19.7416i	−1.12771	+	0.724736i
$743$	8.95858	+	19.6166i	0.328658	+	0.719662i	0.999765	−	0.0216997i	$-0.00690778\pi$
$743$	8.95858	+	19.6166i	0.328658	+	0.719662i	−0.671106	+	0.741361i	$0.734181\pi$
$744$	8.07915	+	9.32383i	0.296196	+	0.341828i
$745$	−2.67744	−	18.6220i	−0.0980937	−	0.682257i
$746$	10.7309	−	23.4974i	0.392886	−	0.860300i
$747$	13.9756	−	4.10360i	0.511340	−	0.150143i
$748$	−0.909385	+	0.267020i	−0.0332504	+	0.00976320i
$749$	4.07875	−	8.93122i	0.149034	−	0.326340i
$750$	0.195368	+	1.35881i	0.00713382	+	0.0496168i
$751$	17.2589	+	19.9179i	0.629788	+	0.726814i	0.977535	−	0.210774i	$-0.0675986\pi$
$751$	17.2589	+	19.9179i	0.629788	+	0.726814i	−0.347747	+	0.937588i	$0.613053\pi$
$752$	11.8751	+	26.0029i	0.433041	+	0.948227i
$753$	−12.4072	+	7.97359i	−0.452142	+	0.290574i
$754$	−1.17906	+	8.20051i	−0.0429387	+	0.298645i
$755$	15.1796	+	9.75535i	0.552443	+	0.355034i
$756$	0.842563	−	0.972370i	0.0306437	−	0.0353647i
$757$	−11.0340	−	3.23988i	−0.401038	−	0.117755i	0.0749928	−	0.997184i	$-0.476107\pi$
$757$	−11.0340	−	3.23988i	−0.401038	−	0.117755i	−0.476030	+	0.879429i	$0.657925\pi$
$758$	43.6573			1.58570
$759$	6.46861	+	7.55107i	0.234796	+	0.274087i
$760$	3.03748			0.110181
$761$	−30.1077	−	8.84043i	−1.09140	−	0.320465i	−0.313973	−	0.949432i	$-0.601660\pi$
$761$	−30.1077	−	8.84043i	−1.09140	−	0.320465i	−0.777432	+	0.628967i	$0.783478\pi$
$762$	7.41168	−	8.55354i	0.268497	−	0.309862i
$763$	−34.1755	−	21.9633i	−1.23724	−	0.795123i
$764$	0.275381	−	1.91532i	0.00996295	−	0.0692938i
$765$	−6.66166	+	4.28119i	−0.240853	+	0.154787i
$766$	−12.3881	−	27.1261i	−0.447599	−	0.980106i
$767$	7.68648	+	8.87067i	0.277543	+	0.320301i
$768$	−0.393020	−	2.73351i	−0.0141819	−	0.0986371i
$769$	14.5909	−	31.9496i	0.526160	−	1.15213i	−0.440894	−	0.897559i	$-0.645338\pi$
$769$	14.5909	−	31.9496i	0.526160	−	1.15213i	0.967054	−	0.254571i	$-0.0819343\pi$
$770$	−6.08622	+	1.78708i	−0.219332	+	0.0644017i
$771$	2.63671	−	0.774207i	0.0949587	−	0.0278824i
$772$	0.714493	−	1.56452i	0.0257152	−	0.0563083i
$773$	−4.92870	−	34.2799i	−0.177273	−	1.23296i	−0.863038	−	0.505139i	$-0.831441\pi$
$773$	−4.92870	−	34.2799i	−0.177273	−	1.23296i	0.685765	−	0.727823i	$-0.259468\pi$
$774$	−3.38469	−	3.90614i	−0.121660	−	0.140403i
$775$	1.76478	+	3.86433i	0.0633929	+	0.138811i
$776$	3.57027	−	2.29447i	0.128165	−	0.0823668i
$777$	−1.89830	+	13.2030i	−0.0681013	+	0.473655i
$778$	−31.6326	−	20.3291i	−1.13408	−	0.728832i
$779$	−6.55979	+	7.57040i	−0.235029	+	0.271238i
$780$	−0.113563	−	0.0333450i	−0.00406619	−	0.00119394i
$781$	20.9498			0.749643
$782$	−3.85564	+	25.7803i	−0.137877	+	0.921903i
$783$	29.4367			1.05198
$784$	−7.32566	−	2.15101i	−0.261631	−	0.0768217i
$785$	4.23214	−	4.88416i	0.151052	−	0.174323i
$786$	−4.75211	−	3.05400i	−0.169502	−	0.108933i
$787$	1.83031	−	12.7301i	0.0652437	−	0.453780i	−0.930845	−	0.365415i	$-0.880927\pi$
$787$	1.83031	−	12.7301i	0.0652437	−	0.453780i	0.996088	−	0.0883643i	$-0.0281640\pi$
$788$	1.83579	−	1.17979i	0.0653971	−	0.0420282i
$789$	11.4364	+	25.0422i	0.407146	+	0.891526i
$790$	−3.44450	−	3.97516i	−0.122550	−	0.141430i
$791$	−3.27457	−	22.7751i	−0.116430	−	0.809791i
$792$	−5.00230	+	10.9535i	−0.177749	+	0.389216i
$793$	−6.31315	+	1.85371i	−0.224187	+	0.0658271i
$794$	−20.9225	+	6.14341i	−0.742513	+	0.218022i
$795$	4.95792	−	10.8563i	0.175839	−	0.385034i
$796$	0.241155	+	1.67727i	0.00854752	+	0.0594493i
$797$	32.7198	+	37.7607i	1.15900	+	1.33755i	0.931486	+	0.363777i	$0.118513\pi$
$797$	32.7198	+	37.7607i	1.15900	+	1.33755i	0.227509	+	0.973776i	$0.426942\pi$
$798$	−1.32936	−	2.91090i	−0.0470590	−	0.103045i
$799$	25.3519	−	16.2927i	0.896887	−	0.576394i
$800$	0.0928329	−	0.645667i	0.00328214	−	0.0228278i
$801$	17.4865	+	11.2379i	0.617856	+	0.397072i
$802$	17.2326	−	19.8875i	0.608504	−	0.702251i
$803$	−18.1009	−	5.31489i	−0.638766	−	0.187559i
$804$	−0.473149			−0.0166867
$805$	1.58096	−	10.5709i	0.0557215	−	0.372577i
$806$	5.97826			0.210575
$807$	14.6526	+	4.30239i	0.515796	+	0.151451i
$808$	22.8476	−	26.3676i	0.803777	−	0.927608i
$809$	26.0076	+	16.7141i	0.914380	+	0.587636i	0.911022	−	0.412358i	$-0.135295\pi$
$809$	26.0076	+	16.7141i	0.914380	+	0.587636i	0.00335807	+	0.999994i	$0.498931\pi$
$810$	−0.195368	+	1.35881i	−0.00686452	+	0.0477438i
$811$	−3.70472	+	2.38088i	−0.130090	+	0.0836040i	−0.604068	−	0.796933i	$-0.706454\pi$
$811$	−3.70472	+	2.38088i	−0.130090	+	0.0836040i	0.473977	+	0.880537i	$0.342818\pi$
$812$	−0.629338	−	1.37806i	−0.0220854	−	0.0483604i
$813$	−15.8425	−	18.2832i	−0.555619	−	0.641219i
$814$	−2.42418	−	16.8606i	−0.0849676	−	0.590963i
$815$	6.34979	−	13.9041i	0.222423	−	0.487039i
$816$	14.2680	−	4.18947i	0.499481	−	0.146661i
$817$	1.88923	−	0.554728i	0.0660958	−	0.0194075i
$818$	−2.12809	+	4.65988i	−0.0744071	+	0.162929i
$819$	−0.650273	−	4.52275i	−0.0227224	−	0.158038i
$820$	0.724126	+	0.835686i	0.0252876	+	0.0291834i
$821$	18.0805	+	39.5908i	0.631014	+	1.38173i	0.907231	+	0.420633i	$0.138192\pi$
$821$	18.0805	+	39.5908i	0.631014	+	1.38173i	−0.276217	+	0.961095i	$0.589081\pi$
$822$	−13.6813	+	8.79247i	−0.477192	+	0.306673i
$823$	−0.404970	+	2.81663i	−0.0141164	+	0.0981814i	−0.995662	−	0.0930490i	$-0.970339\pi$
$823$	−0.404970	+	2.81663i	−0.0141164	+	0.0981814i	0.981545	+	0.191230i	$0.0612478\pi$
$824$	41.2378	+	26.5019i	1.43659	+	0.923238i
$825$	1.35769	−	1.56685i	0.0472685	−	0.0545508i
$826$	33.6135	+	9.86981i	1.16956	+	0.343414i
$827$	−9.22615			−0.320825			−0.160412	−	0.987050i	$-0.551282\pi$
$827$	−9.22615			−0.320825			−0.160412	+	0.987050i	$0.551282\pi$
$828$	−0.720479	−	0.841045i	−0.0250384	−	0.0292283i
$829$	7.15078			0.248357			0.124178	−	0.992260i	$-0.460370\pi$
$829$	7.15078			0.248357			0.124178	+	0.992260i	$0.460370\pi$
$830$	−9.59273	−	2.81668i	−0.332969	−	0.0977684i
$831$	0.541105	−	0.624468i	0.0187707	−	0.0216626i
$832$	−7.24986	−	4.65920i	−0.251344	−	0.161529i
$833$	−1.14547	+	7.96692i	−0.0396882	+	0.276038i
$834$	−2.61499	+	1.68055i	−0.0905498	+	0.0581928i
$835$	−6.05804	−	13.2653i	−0.209647	−	0.459063i
$836$	−0.163959	−	0.189219i	−0.00567065	−	0.00654428i
$837$	−3.02294	−	21.0250i	−0.104488	−	0.726730i
$838$	−5.82593	+	12.7570i	−0.201253	+	0.440683i
$839$	−23.3760	+	6.86382i	−0.807030	+	0.236965i	−0.659122	−	0.752036i	$-0.729072\pi$
$839$	−23.3760	+	6.86382i	−0.807030	+	0.236965i	−0.147907	+	0.989001i	$0.547254\pi$
$840$	−6.21015	+	1.82347i	−0.214271	+	0.0629155i
$841$	2.35153	−	5.14912i	0.0810871	−	0.177556i
$842$	5.09029	+	35.4037i	0.175423	+	1.22009i
$843$	−17.4096	−	20.0917i	−0.599617	−	0.691995i
$844$	−0.00748442	−	0.0163886i	−0.000257624	−	0.000564119i
$845$	10.0523	−	6.46022i	0.345809	−	0.222238i
$846$	2.97400	−	20.6847i	0.102248	−	0.711153i
$847$	−12.5650	−	8.07504i	−0.431739	−	0.277462i
$848$	29.3537	−	33.8760i	1.00801	−	1.16331i
$849$	13.3689	+	3.92548i	0.458821	+	0.134722i
$850$	5.43536			0.186431
$851$	27.4941	+	8.24223i	0.942485	+	0.282540i
$852$	1.16670			0.0399706
$853$	11.7696	+	3.45587i	0.402984	+	0.118327i	0.476942	−	0.878935i	$-0.341745\pi$
$853$	11.7696	+	3.45587i	0.402984	+	0.118327i	−0.0739585	+	0.997261i	$0.523563\pi$
$854$	−12.8602	+	14.8414i	−0.440065	+	0.507863i
$855$	−1.75980	−	1.13095i	−0.0601839	−	0.0386778i
$856$	−1.82075	+	12.6636i	−0.0622319	+	0.432832i
$857$	33.6103	−	21.6000i	1.14811	−	0.737842i	0.178844	−	0.983877i	$-0.442764\pi$
$857$	33.6103	−	21.6000i	1.14811	−	0.737842i	0.969261	+	0.246035i	$0.0791278\pi$
$858$	−1.21199	−	2.65388i	−0.0413765	−	0.0906020i
$859$	18.7267	+	21.6117i	0.638945	+	0.737382i	0.979188	−	0.202955i	$-0.0650547\pi$
$859$	18.7267	+	21.6117i	0.638945	+	0.737382i	−0.340243	+	0.940338i	$0.610509\pi$
$860$	−0.0309327	−	0.215141i	−0.00105480	−	0.00733626i
$861$	8.86687	−	19.4157i	0.302182	−	0.661686i
$862$	−7.19383	+	2.11230i	−0.245023	+	0.0719452i
$863$	7.09190	−	2.08237i	0.241411	−	0.0708847i	−0.158789	−	0.987313i	$-0.550759\pi$
$863$	7.09190	−	2.08237i	0.241411	−	0.0708847i	0.400200	+	0.916428i	$0.368941\pi$
$864$	−1.35489	+	2.96679i	−0.0460943	+	0.100932i
$865$	−0.265263	−	1.84495i	−0.00901922	−	0.0627301i
$866$	−30.8370	−	35.5878i	−1.04788	−	1.20932i
$867$	0.549771	+	1.20383i	0.0186712	+	0.0408843i
$868$	−0.919643	+	0.591019i	−0.0312147	+	0.0200605i
$869$	−1.13051	+	7.86287i	−0.0383499	+	0.266730i
$870$	−6.79905	−	4.36948i	−0.230509	−	0.148139i
$871$	−2.75093	+	3.17474i	−0.0932117	+	0.107572i
$872$	50.7907	+	14.9135i	1.71999	+	0.505035i
$873$	−2.92278			−0.0989212
$874$	−6.61803	+	1.90263i	−0.223858	+	0.0643573i
$875$	−2.22871			−0.0753441
$876$	−1.00804	−	0.295989i	−0.0340587	−	0.0100005i
$877$	−11.9415	+	13.7812i	−0.403234	+	0.465357i	−0.920657	−	0.390373i	$-0.872346\pi$
$877$	−11.9415	+	13.7812i	−0.403234	+	0.465357i	0.517423	+	0.855730i	$0.326892\pi$
$878$	46.3772	+	29.8048i	1.56515	+	1.00586i
$879$	3.79633	−	26.4041i	0.128047	−	0.890587i
$880$	6.55049	−	4.20974i	0.220817	−	0.141910i
$881$	15.0799	+	33.0203i	0.508054	+	1.11248i	0.973767	+	0.227547i	$0.0730706\pi$
$881$	15.0799	+	33.0203i	0.508054	+	1.11248i	−0.465713	+	0.884936i	$0.654202\pi$
$882$	3.65502	+	4.21812i	0.123071	+	0.142031i
$883$	2.69561	+	18.7483i	0.0907143	+	0.630932i	0.983562	+	0.180573i	$0.0577951\pi$
$883$	2.69561	+	18.7483i	0.0907143	+	0.630932i	−0.892847	+	0.450360i	$0.851296\pi$
$884$	−0.194671	+	0.426270i	−0.00654749	+	0.0143370i
$885$	−10.9865	+	3.22591i	−0.369306	+	0.108438i
$886$	−3.12592	+	0.917853i	−0.105017	+	0.0308359i
$887$	−13.3895	+	29.3189i	−0.449576	+	0.984433i	0.540165	+	0.841559i	$0.318362\pi$
$887$	−13.3895	+	29.3189i	−0.449576	+	0.984433i	−0.989741	+	0.142874i	$0.954366\pi$
$888$	−2.47355	−	17.2039i	−0.0830068	−	0.577325i
$889$	12.0328	+	13.8866i	0.403568	+	0.465742i
$890$	−5.92696	−	12.9782i	−0.198672	−	0.435031i
$891$	1.74412	−	1.12088i	0.0584303	−	0.0375509i
$892$	−0.324820	+	2.25918i	−0.0108758	+	0.0756428i
$893$	6.69718	+	4.30402i	0.224113	+	0.144028i
$894$	16.9130	−	19.5186i	0.565655	−	0.652801i
$895$	−12.5936	−	3.69781i	−0.420958	−	0.123604i
$896$	−22.8139			−0.762158
$897$	4.91609	+	0.0278121i	0.164143	+	0.000928618i
$898$	−31.0843			−1.03730
$899$	−23.9977	−	7.04635i	−0.800367	−	0.235009i
$900$	−0.151220	+	0.174517i	−0.00504067	+	0.00581724i
$901$	−39.7530	−	25.5477i	−1.32436	−	0.851117i
$902$	−3.87916	+	26.9802i	−0.129162	+	0.898341i
$903$	−3.52953	+	2.26829i	−0.117455	+	0.0754840i
$904$	12.4549	+	27.2725i	0.414244	+	0.907069i
$905$	−9.52938	−	10.9975i	−0.316767	−	0.365569i
$906$	3.52523	+	24.5185i	0.117118	+	0.814572i
$907$	−0.898972	+	1.96847i	−0.0298499	+	0.0653621i	−0.923970	−	0.382466i	$-0.875075\pi$
$907$	−0.898972	+	1.96847i	−0.0298499	+	0.0653621i	0.894120	+	0.447828i	$0.147802\pi$
$908$	1.45886	−	0.428359i	0.0484139	−	0.0142156i
$909$	−23.0545	+	6.76943i	−0.764671	+	0.224528i
$910$	−1.30287	+	2.85288i	−0.0431897	+	0.0945722i
$911$	−0.324606	−	2.25769i	−0.0107547	−	0.0748005i	0.983737	−	0.179613i	$-0.0574847\pi$
$911$	−0.324606	−	2.25769i	−0.0107547	−	0.0748005i	−0.994492	+	0.104813i	$0.966576\pi$
$912$	2.57248	+	2.96880i	0.0851833	+	0.0983068i
$913$	6.27235	+	13.7345i	0.207584	+	0.454547i
$914$	−24.2898	+	15.6101i	−0.803436	+	0.516337i
$915$	0.913465	−	6.35329i	0.0301982	−	0.210033i
$916$	1.27253	+	0.817806i	0.0420456	+	0.0270211i
$917$	6.00564	−	6.93088i	0.198324	−	0.228878i
$918$	−26.0759	−	7.65659i	−0.860634	−	0.252705i
$919$	21.9965			0.725596			0.362798	−	0.931868i	$-0.381821\pi$
$919$	21.9965			0.725596			0.362798	+	0.931868i	$0.381821\pi$
$920$	1.90406	+	13.7967i	0.0627750	+	0.454863i
$921$	13.4135			0.441990
$922$	−14.1932	−	4.16750i	−0.467428	−	0.137249i
$923$	6.78331	−	7.82835i	0.223275	−	0.257673i
$924$	0.448808	+	0.288431i	0.0147647	+	0.00948869i
$925$	0.851751	−	5.92406i	0.0280054	−	0.194782i
$926$	35.0534	−	22.5275i	1.15193	−	0.740299i
$927$	−14.0240	−	30.7084i	−0.460610	−	1.00860i
$928$	2.51489	+	2.90234i	0.0825553	+	0.0952739i
$929$	3.87661	+	26.9624i	0.127188	+	0.884609i	0.949096	+	0.314988i	$0.102001\pi$
$929$	3.87661	+	26.9624i	0.127188	+	0.884609i	−0.821908	+	0.569620i	$0.807090\pi$
$930$	−2.42267	+	5.30490i	−0.0794424	+	0.173955i
$931$	−2.04012	+	0.599034i	−0.0668623	+	0.0196325i
$932$	−1.13146	+	0.332228i	−0.0370623	+	0.0108825i
$933$	−5.91924	+	12.9613i	−0.193787	+	0.424335i
$934$	−4.16916	−	28.9972i	−0.136419	−	0.948816i
$935$	−5.37557	−	6.20374i	−0.175800	−	0.202884i
$936$	2.47333	+	5.41584i	0.0808434	+	0.177022i
$937$	26.1742	−	16.8211i	0.855073	−	0.549522i	−0.0380798	−	0.999275i	$-0.512124\pi$
$937$	26.1742	−	16.8211i	0.855073	−	0.549522i	0.893153	+	0.449752i	$0.148488\pi$
$938$	−1.78432	+	12.4102i	−0.0582602	+	0.405209i
$939$	−15.4844	−	9.95124i	−0.505315	−	0.324746i
$940$	0.575490	−	0.664151i	0.0187704	−	0.0216622i
$941$	−21.8554	−	6.41733i	−0.712466	−	0.209199i	−0.0946374	−	0.995512i	$-0.530169\pi$
$941$	−21.8554	−	6.41733i	−0.712466	−	0.209199i	−0.617828	+	0.786313i	$0.711987\pi$
$942$	8.87185			0.289061
$943$	−38.4979	−	25.0500i	−1.25366	−	0.815739i
$944$	−43.0044			−1.39967
$945$	10.6921	+	3.13950i	0.347816	+	0.102128i
$946$	3.50864	−	4.04918i	0.114076	−	0.131650i
$947$	−26.7831	−	17.2124i	−0.870332	−	0.559329i	0.0275220	−	0.999621i	$-0.491238\pi$
$947$	−26.7831	−	17.2124i	−0.870332	−	0.559329i	−0.897854	+	0.440293i	$0.854875\pi$
$948$	−0.0629586	+	0.437887i	−0.00204480	+	0.0142219i
$949$	−7.84688	+	5.04288i	−0.254721	+	0.163699i
$950$	0.596474	+	1.30609i	0.0193522	+	0.0423753i
$951$	−1.36308	−	1.57308i	−0.0442008	−	0.0510105i
$952$	3.64700	+	25.3655i	0.118200	+	0.822100i
$953$	−5.84093	+	12.7898i	−0.189206	+	0.414304i	−0.980334	−	0.197348i	$-0.936767\pi$
$953$	−5.84093	+	12.7898i	−0.189206	+	0.414304i	0.791127	+	0.611651i	$0.209494\pi$
$954$	−31.4407	+	9.23181i	−1.01793	+	0.298891i
$955$	16.0804	−	4.72162i	0.520348	−	0.152788i
$956$	1.32236	−	2.89555i	0.0427680	−	0.0936489i
$957$	1.73708	+	12.0816i	0.0561517	+	0.390544i
$958$	−20.8145	−	24.0212i	−0.672486	−	0.776090i
$959$	−10.9682	−	24.0170i	−0.354181	−	0.775548i
$960$	7.07240	−	4.54515i	0.228261	−	0.146694i
$961$	1.84333	−	12.8206i	0.0594622	−	0.413568i
$962$	−7.08525	−	4.55341i	−0.228438	−	0.146808i
$963$	5.76994	−	6.65886i	0.185934	−	0.214579i
$964$	−1.68760	−	0.495524i	−0.0543539	−	0.0159597i
$965$	14.8965			0.479536
$966$	12.3884	−	7.86288i	0.398591	−	0.252984i
$967$	21.5282			0.692301			0.346151	−	0.938179i	$-0.387489\pi$
$967$	21.5282			0.692301			0.346151	+	0.938179i	$0.387489\pi$
$968$	18.6738	+	5.48311i	0.600198	+	0.176234i
$969$	2.71194	−	3.12975i	0.0871202	−	0.100542i
$970$	1.68770	+	1.08462i	0.0541889	+	0.0348251i
$971$	−4.68869	+	32.6106i	−0.150467	+	1.04652i	0.764971	+	0.644065i	$0.222753\pi$
$971$	−4.68869	+	32.6106i	−0.150467	+	1.04652i	−0.915438	+	0.402458i	$0.868156\pi$
$972$	1.55409	−	0.998756i	0.0498476	−	0.0320351i
$973$	−2.09641	−	4.59050i	−0.0672078	−	0.147165i
$974$	3.61736	+	4.17465i	0.115908	+	0.133765i
$975$	−0.145886	−	1.01466i	−0.00467208	−	0.0324951i
$976$	10.0143	−	21.9282i	0.320550	−	0.701906i
$977$	−30.5120	+	8.95913i	−0.976166	+	0.286628i	−0.730641	−	0.682762i	$-0.760779\pi$
$977$	−30.5120	+	8.95913i	−0.976166	+	0.286628i	−0.245525	+	0.969390i	$0.578960\pi$
$978$	20.1336	−	5.91176i	0.643802	−	0.189037i
$979$	−8.95116	+	19.6003i	−0.286080	+	0.626428i
$980$	0.0334033	+	0.232325i	0.00106703	+	0.00742134i
$981$	−23.8734	−	27.5513i	−0.762218	−	0.879647i
$982$	2.24320	+	4.91193i	0.0715835	+	0.156746i
$983$	0.688292	−	0.442339i	0.0219531	−	0.0141084i	−0.529618	−	0.848236i	$-0.677665\pi$
$983$	0.688292	−	0.442339i	0.0219531	−	0.0141084i	0.551571	+	0.834128i	$0.314028\pi$
$984$	−3.95815	+	27.5296i	−0.126181	+	0.877610i
$985$	15.8998	+	10.2182i	0.506610	+	0.325578i
$986$	−20.9554	+	24.1838i	−0.667355	+	0.770169i
$987$	−16.2762	−	4.77913i	−0.518078	−	0.152121i
$988$	−0.123794			−0.00393841
$989$	3.70393	+	8.23342i	0.117778	+	0.261807i
$990$	−5.69224			−0.180911
$991$	−18.8980	−	5.54895i	−0.600314	−	0.176268i	−0.0325649	−	0.999470i	$-0.510368\pi$
$991$	−18.8980	−	5.54895i	−0.600314	−	0.176268i	−0.567749	+	0.823201i	$0.692186\pi$
$992$	1.81472	−	2.09430i	0.0576174	−	0.0664940i
$993$	−27.6577	−	17.7746i	−0.877692	−	0.564058i
$994$	4.39983	−	30.6015i	0.139554	−	0.970620i
$995$	−12.3465	+	7.93460i	−0.391409	+	0.251544i
$996$	0.349310	+	0.764881i	0.0110683	+	0.0242362i
$997$	20.3424	+	23.4764i	0.644251	+	0.743505i	0.980121	−	0.198403i	$-0.0635755\pi$
$997$	20.3424	+	23.4764i	0.644251	+	0.743505i	−0.335869	+	0.941909i	$0.609030\pi$
$998$	0.0419392	+	0.291693i	0.00132756	+	0.00923339i
$999$	−12.4313	+	27.2206i	−0.393307	+	0.861223i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	115.2.g.a.41.1	✓	10
5.2	odd	4		575.2.p.a.524.1		20
5.3	odd	4		575.2.p.a.524.2		20
5.4	even	2		575.2.k.a.501.1		10
23.3	even	11		2645.2.a.n.1.3		5
23.9	even	11	inner	115.2.g.a.101.1	yes	10
23.20	odd	22		2645.2.a.o.1.3		5
115.9	even	22		575.2.k.a.101.1		10
115.32	odd	44		575.2.p.a.124.2		20
115.78	odd	44		575.2.p.a.124.1		20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
115.2.g.a.41.1	✓	10	1.1	even	1	trivial
115.2.g.a.101.1	yes	10	23.9	even	11	inner
575.2.k.a.101.1		10	115.9	even	22
575.2.k.a.501.1		10	5.4	even	2
575.2.p.a.124.1		20	115.78	odd	44
575.2.p.a.124.2		20	115.32	odd	44
575.2.p.a.524.1		20	5.2	odd	4
575.2.p.a.524.2		20	5.3	odd	4
2645.2.a.n.1.3		5	23.3	even	11
2645.2.a.o.1.3		5	23.20	odd	22

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:	\( N \)	\(=\)	\( 115 = 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	115.g (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(1.31718 + 0.386758i) q^{2} +(0.654861 - 0.755750i) q^{3} +(-0.0971309 - 0.0624222i) q^{4} +(0.142315 - 0.989821i) q^{5} +(1.15486 - 0.742184i) q^{6} +(0.925839 + 2.02730i) q^{7} +(-1.90176 - 2.19475i) q^{8} +(0.284630 + 1.97964i) q^{9} +(0.570276 - 1.24873i) q^{10} +(-1.98926 + 0.584100i) q^{11} +(-0.110783 + 0.0325288i) q^{12} +(-0.425839 + 0.932456i) q^{13} +(0.435418 + 3.02840i) q^{14} +(-0.654861 - 0.755750i) q^{15} +(-1.56019 - 3.41635i) q^{16} +(-3.33083 + 2.14059i) q^{17} +(-0.390736 + 2.71763i) q^{18} +(-0.879900 - 0.565477i) q^{19} +(-0.0756100 + 0.0872586i) q^{20} +(2.13843 + 0.627899i) q^{21} -2.84612 q^{22} +(2.01691 - 4.35110i) q^{23} -2.90407 q^{24} +(-0.959493 - 0.281733i) q^{25} +(-0.921540 + 1.06351i) q^{26} +(4.20627 + 2.70320i) q^{27} +(0.0366213 - 0.254707i) q^{28} +(4.95274 - 3.18293i) q^{29} +(-0.570276 - 1.24873i) q^{30} +(-2.78201 - 3.21061i) q^{31} +(0.0928329 + 0.645667i) q^{32} +(-0.861256 + 1.88589i) q^{33} +(-5.21519 + 1.53132i) q^{34} +(2.13843 - 0.627899i) q^{35} +(0.0959274 - 0.210052i) q^{36} +(0.851751 + 5.92406i) q^{37} +(-0.940282 - 1.08514i) q^{38} +(0.425839 + 0.932456i) q^{39} +(-2.44306 + 1.57006i) q^{40} +(1.36297 - 9.47964i) q^{41} +(2.57385 + 1.65411i) q^{42} +(-1.23278 + 1.42270i) q^{43} +(0.229680 + 0.0674400i) q^{44} +2.00000 q^{45} +(4.33945 - 4.95112i) q^{46} -7.61130 q^{47} +(-3.60362 - 1.05812i) q^{48} +(1.33124 - 1.53634i) q^{49} +(-1.15486 - 0.742184i) q^{50} +(-0.563476 + 3.91906i) q^{51} +(0.0995681 - 0.0639885i) q^{52} +(4.95792 + 10.8563i) q^{53} +(4.49492 + 5.18741i) q^{54} +(0.295053 + 2.05214i) q^{55} +(2.68870 - 5.88744i) q^{56} +(-1.00357 + 0.294675i) q^{57} +(7.75466 - 2.27697i) q^{58} +(4.75662 - 10.4155i) q^{59} +(0.0164316 + 0.114284i) q^{60} +(4.20330 + 4.85087i) q^{61} +(-2.42267 - 5.30490i) q^{62} +(-3.74982 + 2.40986i) q^{63} +(-1.19644 + 8.32140i) q^{64} +(0.862362 + 0.554206i) q^{65} +(-1.86381 + 2.15095i) q^{66} +(3.93196 + 1.15453i) q^{67} +0.457147 q^{68} +(-1.96755 - 4.37364i) q^{69} +3.05954 q^{70} +(-9.69553 - 2.84686i) q^{71} +(3.80353 - 4.38950i) q^{72} +(7.65481 + 4.91945i) q^{73} +(-1.16927 + 8.13247i) q^{74} +(-0.841254 + 0.540641i) q^{75} +(0.0501671 + 0.109851i) q^{76} +(-3.02588 - 3.49206i) q^{77} +(0.200270 + 1.39291i) q^{78} +(1.59168 - 3.48530i) q^{79} +(-3.60362 + 1.05812i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(5.46160 - 11.9592i) q^{82} +(-1.03645 - 7.20866i) q^{83} +(-0.168513 - 0.194474i) q^{84} +(1.64478 + 3.60157i) q^{85} +(-2.17403 + 1.39717i) q^{86} +(0.837855 - 5.82741i) q^{87} +(5.06506 + 3.25512i) q^{88} +(6.80606 - 7.85461i) q^{89} +(2.63436 + 0.773517i) q^{90} -2.28463 q^{91} +(-0.467509 + 0.296726i) q^{92} -4.24824 q^{93} +(-10.0254 - 2.94373i) q^{94} +(-0.684944 + 0.790468i) q^{95} +(0.548755 + 0.352663i) q^{96} +(-0.207978 + 1.44652i) q^{97} +(2.34767 - 1.50876i) q^{98} +(-1.72251 - 3.77178i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q + 5 q^{2} + q^{3} - q^{4} + q^{5} + 6 q^{6} + 5 q^{7} - 16 q^{8} + 2 q^{9} - 5 q^{10} + 8 q^{11} + q^{12} - 3 q^{14} - q^{15} + 5 q^{16} - 23 q^{17} - 10 q^{18} - 13 q^{19} + q^{20} + 6 q^{21}+ \cdots + 6 q^{99}+O(q^{100}) \) 10 * q + 5 * q^2 + q^3 - q^4 + q^5 + 6 * q^6 + 5 * q^7 - 16 * q^8 + 2 * q^9 - 5 * q^10 + 8 * q^11 + q^12 - 3 * q^14 - q^15 + 5 * q^16 - 23 * q^17 - 10 * q^18 - 13 * q^19 + q^20 + 6 * q^21 + 4 * q^22 - 21 * q^23 - 6 * q^24 - q^25 + 11 * q^26 - 5 * q^27 - 6 * q^28 + 2 * q^29 + 5 * q^30 - 20 * q^31 - 15 * q^32 + 3 * q^33 + 16 * q^34 + 6 * q^35 + 24 * q^36 + 13 * q^37 + 21 * q^38 - 6 * q^40 - 5 * q^41 + 3 * q^42 + 15 * q^43 + 19 * q^44 + 20 * q^45 - 16 * q^46 - 52 * q^47 + 6 * q^48 + 4 * q^49 - 6 * q^50 - 10 * q^51 + 22 * q^52 + 6 * q^53 - 30 * q^54 + 3 * q^55 + 3 * q^56 + 2 * q^57 + 45 * q^58 + 5 * q^59 + 10 * q^60 - 3 * q^61 - 54 * q^62 - 10 * q^63 - 34 * q^64 - 4 * q^66 + 20 * q^67 + 32 * q^68 - q^69 - 8 * q^70 - 22 * q^71 + 32 * q^72 + 43 * q^73 + q^74 + q^75 - 2 * q^76 + 4 * q^77 + 11 * q^78 + 51 * q^79 + 6 * q^80 - q^81 + 58 * q^82 - 17 * q^83 + 6 * q^84 + q^85 - 9 * q^86 - 2 * q^87 + 7 * q^88 + 57 * q^89 + 10 * q^90 - 22 * q^91 - 43 * q^92 + 20 * q^93 - 81 * q^94 - 9 * q^95 - 7 * q^96 + 52 * q^97 + 24 * q^98 + 6 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more