LMFDB - Embedded newform 930.2.bj.a.337.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(277,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 5, 6]))

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

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

chi := DirichletCharacter("930.277");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bj (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$16$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			337.1
Character	$\chi$	$=$	930.337
Dual form			930.2.bj.a.643.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.453990 + 0.891007i) q^{2} +(-0.891007 + 0.453990i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-2.23208 - 0.133471i) q^{5} -1.00000i q^{6} +(0.703148 + 0.111368i) q^{7} +(0.987688 - 0.156434i) q^{8} +(0.587785 - 0.809017i) q^{9} +O(q^{10})$	\(q+(-0.453990 + 0.891007i) q^{2} +(-0.891007 + 0.453990i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-2.23208 - 0.133471i) q^{5} -1.00000i q^{6} +(0.703148 + 0.111368i) q^{7} +(0.987688 - 0.156434i) q^{8} +(0.587785 - 0.809017i) q^{9} +(1.13227 - 1.92820i) q^{10} +(0.929146 + 1.27886i) q^{11} +(0.891007 + 0.453990i) q^{12} +(3.32335 - 1.69333i) q^{13} +(-0.418452 + 0.575949i) q^{14} +(2.04939 - 0.894420i) q^{15} +(-0.309017 + 0.951057i) q^{16} +(-3.22436 + 0.510689i) q^{17} +(0.453990 + 0.891007i) q^{18} +(1.25468 - 0.407670i) q^{19} +(1.20400 + 1.88424i) q^{20} +(-0.677069 + 0.219993i) q^{21} +(-1.56130 + 0.247285i) q^{22} +(0.137384 + 0.867409i) q^{23} +(-0.809017 + 0.587785i) q^{24} +(4.96437 + 0.595836i) q^{25} +3.72988i q^{26} +(-0.156434 + 0.987688i) q^{27} +(-0.323201 - 0.634319i) q^{28} +(-0.493470 - 1.51875i) q^{29} +(-0.133471 + 2.23208i) q^{30} +(4.09787 + 3.76927i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(-1.40847 - 0.717649i) q^{33} +(1.00880 - 3.10478i) q^{34} +(-1.55462 - 0.342431i) q^{35} -1.00000 q^{36} +(-6.52174 + 6.52174i) q^{37} +(-0.206376 + 1.30301i) q^{38} +(-2.19237 + 3.01754i) q^{39} +(-2.22548 + 0.217347i) q^{40} +(1.32380 + 4.07425i) q^{41} +(0.111368 - 0.703148i) q^{42} +(-2.78612 + 5.46807i) q^{43} +(0.488481 - 1.50339i) q^{44} +(-1.41996 + 1.72734i) q^{45} +(-0.835239 - 0.271385i) q^{46} +(-10.6747 + 5.43904i) q^{47} +(-0.156434 - 0.987688i) q^{48} +(-6.17538 - 2.00650i) q^{49} +(-2.78467 + 4.15278i) q^{50} +(2.64108 - 1.91886i) q^{51} +(-3.32335 - 1.69333i) q^{52} +(1.97293 + 12.4566i) q^{53} +(-0.809017 - 0.587785i) q^{54} +(-1.90324 - 2.97853i) q^{55} +0.711912 q^{56} +(-0.932849 + 0.932849i) q^{57} +(1.57724 + 0.249811i) q^{58} +(7.22955 + 2.34902i) q^{59} +(-1.92820 - 1.13227i) q^{60} -7.00618i q^{61} +(-5.21884 + 1.94002i) q^{62} +(0.503398 - 0.503398i) q^{63} +(0.951057 - 0.309017i) q^{64} +(-7.64399 + 3.33608i) q^{65} +(1.27886 - 0.929146i) q^{66} +(6.16775 + 6.16775i) q^{67} +(2.30839 + 2.30839i) q^{68} +(-0.516206 - 0.710496i) q^{69} +(1.01089 - 1.22971i) q^{70} +(-7.30248 - 5.30556i) q^{71} +(0.453990 - 0.891007i) q^{72} +(4.66533 + 0.738915i) q^{73} +(-2.85011 - 8.77172i) q^{74} +(-4.69379 + 1.72288i) q^{75} +(-1.06729 - 0.775434i) q^{76} +(0.510903 + 1.00270i) q^{77} +(-1.69333 - 3.32335i) q^{78} +(4.68559 + 3.40428i) q^{79} +(0.816689 - 2.08159i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(-4.23118 - 0.670153i) q^{82} +(1.07374 - 2.10734i) q^{83} +(0.575949 + 0.418452i) q^{84} +(7.26520 - 0.709540i) q^{85} +(-3.60721 - 4.96490i) q^{86} +(1.12918 + 1.12918i) q^{87} +(1.11776 + 1.11776i) q^{88} +(-10.4084 + 7.56214i) q^{89} +(-0.894420 - 2.04939i) q^{90} +(2.52538 - 0.820547i) q^{91} +(0.620997 - 0.620997i) q^{92} +(-5.36245 - 1.49805i) q^{93} -11.9805i q^{94} +(-2.85496 + 0.742489i) q^{95} +(0.951057 + 0.309017i) q^{96} +(-5.75932 - 0.912186i) q^{97} +(4.59137 - 4.59137i) q^{98} +1.58076 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q - 16 q^{7}+O(q^{10}) $ 128 * q - 16 * q^7	$ 128 q - 16 q^{7} - 4 q^{10} + 4 q^{15} + 32 q^{16} - 12 q^{17} - 40 q^{19} + 40 q^{21} + 16 q^{22} - 32 q^{24} - 8 q^{25} - 4 q^{28} + 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} + 64 q^{37} - 16 q^{38} - 24 q^{41} + 4 q^{42} + 24 q^{43} - 8 q^{44} + 20 q^{46} + 108 q^{47} - 100 q^{49} - 24 q^{50} + 16 q^{53} - 32 q^{54} + 12 q^{55} + 16 q^{57} - 40 q^{58} - 16 q^{62} - 4 q^{63} + 36 q^{65} - 12 q^{66} - 32 q^{67} + 8 q^{68} - 32 q^{70} + 24 q^{71} + 60 q^{73} - 16 q^{74} + 24 q^{75} - 24 q^{76} - 20 q^{77} - 56 q^{79} + 32 q^{81} - 16 q^{82} - 8 q^{83} - 132 q^{85} - 20 q^{87} - 4 q^{88} + 136 q^{89} - 40 q^{91} - 64 q^{93} + 108 q^{95} + 64 q^{97} - 16 q^{98} - 8 q^{99}+O(q^{100}) $ 128 * q - 16 * q^7 - 4 * q^10 + 4 * q^15 + 32 * q^16 - 12 * q^17 - 40 * q^19 + 40 * q^21 + 16 * q^22 - 32 * q^24 - 8 * q^25 - 4 * q^28 + 8 * q^29 + 20 * q^31 + 4 * q^33 + 24 * q^35 - 128 * q^36 + 64 * q^37 - 16 * q^38 - 24 * q^41 + 4 * q^42 + 24 * q^43 - 8 * q^44 + 20 * q^46 + 108 * q^47 - 100 * q^49 - 24 * q^50 + 16 * q^53 - 32 * q^54 + 12 * q^55 + 16 * q^57 - 40 * q^58 - 16 * q^62 - 4 * q^63 + 36 * q^65 - 12 * q^66 - 32 * q^67 + 8 * q^68 - 32 * q^70 + 24 * q^71 + 60 * q^73 - 16 * q^74 + 24 * q^75 - 24 * q^76 - 20 * q^77 - 56 * q^79 + 32 * q^81 - 16 * q^82 - 8 * q^83 - 132 * q^85 - 20 * q^87 - 4 * q^88 + 136 * q^89 - 40 * q^91 - 64 * q^93 + 108 * q^95 + 64 * q^97 - 16 * q^98 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$1$	$e\left(\frac{1}{10}\right)$

Coefficient data

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

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

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

$2$	−0.453990	+	0.891007i	−0.321020	+	0.630037i
$2$	−0.453990	+	0.891007i	−0.321020	+	0.630037i
$3$	−0.891007	+	0.453990i	−0.514423	+	0.262112i
$3$	−0.891007	+	0.453990i	−0.514423	+	0.262112i
$4$	−0.587785	−	0.809017i	−0.293893	−	0.404508i
$5$	−2.23208	−	0.133471i	−0.998217	−	0.0596901i
$5$	−2.23208	−	0.133471i	−0.998217	−	0.0596901i
$6$		−	1.00000i		−	0.408248i
$7$	0.703148	+	0.111368i	0.265765	+	0.0420930i	0.287895	−	0.957662i	$-0.407045\pi$
$7$	0.703148	+	0.111368i	0.265765	+	0.0420930i	−0.0221298	+	0.999755i	$0.507045\pi$
$8$	0.987688	−	0.156434i	0.349201	−	0.0553079i
$9$	0.587785	−	0.809017i	0.195928	−	0.269672i
$10$	1.13227	−	1.92820i	0.358054	−	0.609752i
$11$	0.929146	+	1.27886i	0.280148	+	0.385591i	0.925783	−	0.378055i	$-0.123407\pi$
$11$	0.929146	+	1.27886i	0.280148	+	0.385591i	−0.645635	+	0.763646i	$0.723407\pi$
$12$	0.891007	+	0.453990i	0.257211	+	0.131056i
$13$	3.32335	−	1.69333i	0.921730	−	0.469645i	0.0723221	−	0.997381i	$-0.476959\pi$
$13$	3.32335	−	1.69333i	0.921730	−	0.469645i	0.849408	+	0.527736i	$0.176959\pi$
$14$	−0.418452	+	0.575949i	−0.111836	+	0.153929i
$15$	2.04939	−	0.894420i	0.529151	−	0.230938i
$16$	−0.309017	+	0.951057i	−0.0772542	+	0.237764i
$17$	−3.22436	+	0.510689i	−0.782023	+	0.123860i	−0.534665	−	0.845064i	$-0.679562\pi$
$17$	−3.22436	+	0.510689i	−0.782023	+	0.123860i	−0.247358	+	0.968924i	$0.579562\pi$
$18$	0.453990	+	0.891007i	0.107007	+	0.210012i
$19$	1.25468	−	0.407670i	0.287843	−	0.0935259i	−0.161537	−	0.986867i	$-0.551645\pi$
$19$	1.25468	−	0.407670i	0.287843	−	0.0935259i	0.449380	+	0.893341i	$0.351645\pi$
$20$	1.20400	+	1.88424i	0.269223	+	0.421330i
$21$	−0.677069	+	0.219993i	−0.147749	+	0.0480064i
$22$	−1.56130	+	0.247285i	−0.332869	+	0.0527213i
$23$	0.137384	+	0.867409i	0.0286466	+	0.180867i	0.997863	−	0.0653437i	$-0.0208144\pi$
$23$	0.137384	+	0.867409i	0.0286466	+	0.180867i	−0.969216	+	0.246211i	$0.920814\pi$
$24$	−0.809017	+	0.587785i	−0.165140	+	0.119981i
$25$	4.96437	+	0.595836i	0.992874	+	0.119167i
$26$			3.72988i			0.731489i
$27$	−0.156434	+	0.987688i	−0.0301058	+	0.190081i
$28$	−0.323201	−	0.634319i	−0.0610793	−	0.119875i
$29$	−0.493470	−	1.51875i	−0.0916352	−	0.282024i	0.894727	−	0.446613i	$-0.147370\pi$
$29$	−0.493470	−	1.51875i	−0.0916352	−	0.282024i	−0.986362	+	0.164589i	$0.947370\pi$
$30$	−0.133471	+	2.23208i	−0.0243684	+	0.407520i
$31$	4.09787	+	3.76927i	0.736000	+	0.676982i
$31$	4.09787	+	3.76927i	0.736000	+	0.676982i
$32$	−0.707107	−	0.707107i	−0.125000	−	0.125000i
$33$	−1.40847	−	0.717649i	−0.245182	−	0.124927i
$34$	1.00880	−	3.10478i	0.173008	−	0.532465i
$35$	−1.55462	−	0.342431i	−0.262778	−	0.0578815i
$36$	−1.00000			−0.166667
$37$	−6.52174	+	6.52174i	−1.07217	+	1.07217i	−0.0749827	+	0.997185i	$0.523890\pi$
$37$	−6.52174	+	6.52174i	−1.07217	+	1.07217i	−0.997185	+	0.0749827i	$0.976110\pi$
$38$	−0.206376	+	1.30301i	−0.0334786	+	0.211375i
$39$	−2.19237	+	3.01754i	−0.351060	+	0.483192i
$40$	−2.22548	+	0.217347i	−0.351879	+	0.0343655i
$41$	1.32380	+	4.07425i	0.206744	+	0.636291i	0.999637	+	0.0269313i	$0.00857354\pi$
$41$	1.32380	+	4.07425i	0.206744	+	0.636291i	−0.792894	+	0.609360i	$0.791426\pi$
$42$	0.111368	−	0.703148i	0.0171844	−	0.108498i
$43$	−2.78612	+	5.46807i	−0.424879	+	0.833872i	0.574997	+	0.818155i	$0.305003\pi$
$43$	−2.78612	+	5.46807i	−0.424879	+	0.833872i	−0.999876	+	0.0157169i	$0.994997\pi$
$44$	0.488481	−	1.50339i	0.0736413	−	0.226645i
$45$	−1.41996	+	1.72734i	−0.211676	+	0.257497i
$46$	−0.835239	−	0.271385i	−0.123149	−	0.0400136i
$47$	−10.6747	+	5.43904i	−1.55707	+	0.793365i	−0.999328	−	0.0366521i	$-0.988331\pi$
$47$	−10.6747	+	5.43904i	−1.55707	+	0.793365i	−0.557738	+	0.830017i	$0.688331\pi$
$48$	−0.156434	−	0.987688i	−0.0225794	−	0.142561i
$49$	−6.17538	−	2.00650i	−0.882197	−	0.286643i
$50$	−2.78467	+	4.15278i	−0.393812	+	0.587292i
$51$	2.64108	−	1.91886i	0.369825	−	0.268694i
$52$	−3.32335	−	1.69333i	−0.460865	−	0.234823i
$53$	1.97293	+	12.4566i	0.271002	+	1.71104i	0.629073	+	0.777346i	$0.283435\pi$
$53$	1.97293	+	12.4566i	0.271002	+	1.71104i	−0.358071	+	0.933694i	$0.616565\pi$
$54$	−0.809017	−	0.587785i	−0.110093	−	0.0799874i
$55$	−1.90324	−	2.97853i	−0.256633	−	0.401625i
$56$	0.711912			0.0951333
$57$	−0.932849	+	0.932849i	−0.123559	+	0.123559i
$58$	1.57724	+	0.249811i	0.207102	+	0.0328018i
$59$	7.22955	+	2.34902i	0.941207	+	0.305817i	0.739138	−	0.673554i	$-0.235233\pi$
$59$	7.22955	+	2.34902i	0.941207	+	0.305817i	0.202069	+	0.979371i	$0.435233\pi$
$60$	−1.92820	−	1.13227i	−0.248930	−	0.146175i
$61$		−	7.00618i		−	0.897050i	−0.893770	−	0.448525i	$-0.851950\pi$
$61$		−	7.00618i		−	0.897050i	0.893770	−	0.448525i	$-0.148050\pi$
$62$	−5.21884	+	1.94002i	−0.662794	+	0.246382i
$63$	0.503398	−	0.503398i	0.0634222	−	0.0634222i
$64$	0.951057	−	0.309017i	0.118882	−	0.0386271i
$65$	−7.64399	+	3.33608i	−0.948120	+	0.413790i
$66$	1.27886	−	0.929146i	0.157417	−	0.114370i
$67$	6.16775	+	6.16775i	0.753510	+	0.753510i	0.975133	−	0.221622i	$-0.0711352\pi$
$67$	6.16775	+	6.16775i	0.753510	+	0.753510i	−0.221622	+	0.975133i	$0.571135\pi$
$68$	2.30839	+	2.30839i	0.279933	+	0.279933i
$69$	−0.516206	−	0.710496i	−0.0621439	−	0.0855337i
$70$	1.01089	−	1.22971i	0.120825	−	0.146979i
$71$	−7.30248	−	5.30556i	−0.866644	−	0.629654i	0.0630400	−	0.998011i	$-0.479920\pi$
$71$	−7.30248	−	5.30556i	−0.866644	−	0.629654i	−0.929684	+	0.368357i	$0.879920\pi$
$72$	0.453990	−	0.891007i	0.0535033	−	0.105006i
$73$	4.66533	+	0.738915i	0.546035	+	0.0864835i	0.423357	−	0.905963i	$-0.360852\pi$
$73$	4.66533	+	0.738915i	0.546035	+	0.0864835i	0.122678	+	0.992446i	$0.460852\pi$
$74$	−2.85011	−	8.77172i	−0.331318	−	1.01969i
$75$	−4.69379	+	1.72288i	−0.541992	+	0.198941i
$76$	−1.06729	−	0.775434i	−0.122427	−	0.0889484i
$77$	0.510903	+	1.00270i	0.0582228	+	0.114269i
$78$	−1.69333	−	3.32335i	−0.191732	−	0.376295i
$79$	4.68559	+	3.40428i	0.527170	+	0.383012i	0.819298	−	0.573368i	$-0.194363\pi$
$79$	4.68559	+	3.40428i	0.527170	+	0.383012i	−0.292128	+	0.956379i	$0.594363\pi$
$80$	0.816689	−	2.08159i	0.0913087	−	0.232729i
$81$	−0.309017	−	0.951057i	−0.0343352	−	0.105673i
$82$	−4.23118	−	0.670153i	−0.467256	−	0.0740060i
$83$	1.07374	−	2.10734i	0.117858	−	0.231310i	−0.824539	−	0.565805i	$-0.808566\pi$
$83$	1.07374	−	2.10734i	0.117858	−	0.231310i	0.942398	+	0.334495i	$0.108566\pi$
$84$	0.575949	+	0.418452i	0.0628412	+	0.0456568i
$85$	7.26520	−	0.709540i	0.788021	−	0.0769604i
$86$	−3.60721	−	4.96490i	−0.388975	−	0.535379i
$87$	1.12918	+	1.12918i	0.121061	+	0.121061i
$88$	1.11776	+	1.11776i	0.119154	+	0.119154i
$89$	−10.4084	+	7.56214i	−1.10329	+	0.801585i	−0.981593	−	0.190983i	$-0.938832\pi$
$89$	−10.4084	+	7.56214i	−1.10329	+	0.801585i	−0.121693	+	0.992568i	$0.538832\pi$
$90$	−0.894420	−	2.04939i	−0.0942801	−	0.216025i
$91$	2.52538	−	0.820547i	0.264732	−	0.0860167i
$92$	0.620997	−	0.620997i	0.0647434	−	0.0647434i
$93$	−5.36245	−	1.49805i	−0.556060	−	0.155341i
$94$		−	11.9805i		−	1.23569i
$95$	−2.85496	+	0.742489i	−0.292912	+	0.0761778i
$96$	0.951057	+	0.309017i	0.0970668	+	0.0315389i
$97$	−5.75932	−	0.912186i	−0.584770	−	0.0926185i	−0.142962	−	0.989728i	$-0.545663\pi$
$97$	−5.75932	−	0.912186i	−0.584770	−	0.0926185i	−0.441808	+	0.897110i	$0.645663\pi$
$98$	4.59137	−	4.59137i	0.463799	−	0.463799i
$99$	1.58076			0.158872
$100$	−2.43594	−	4.36648i	−0.243594	−	0.436648i
$101$	10.6602	+	7.74505i	1.06072	+	0.770662i	0.974222	−	0.225590i	$-0.0724310\pi$
$101$	10.6602	+	7.74505i	1.06072	+	0.770662i	0.0865023	+	0.996252i	$0.472431\pi$
$102$	0.510689	+	3.22436i	0.0505657	+	0.319259i
$103$	0.453257	+	0.230946i	0.0446607	+	0.0227558i	0.476178	−	0.879349i	$-0.342022\pi$
$103$	0.453257	+	0.230946i	0.0446607	+	0.0227558i	−0.431518	+	0.902105i	$0.642022\pi$
$104$	3.01754	−	2.19237i	0.295894	−	0.214979i
$105$	1.54064	−	0.400673i	0.150351	−	0.0391017i
$106$	−11.9946	−	3.89727i	−1.16502	−	0.378537i
$107$	−0.771614	−	4.87178i	−0.0745947	−	0.470973i	−0.996502	−	0.0835631i	$-0.973370\pi$
$107$	−0.771614	−	4.87178i	−0.0745947	−	0.470973i	0.921908	−	0.387409i	$-0.126630\pi$
$108$	0.891007	−	0.453990i	0.0857371	−	0.0436853i
$109$	6.33163	+	2.05727i	0.606460	+	0.197051i	0.596120	−	0.802896i	$-0.296708\pi$
$109$	6.33163	+	2.05727i	0.606460	+	0.197051i	0.0103406	+	0.999947i	$0.496708\pi$
$110$	3.51795	−	0.343572i	0.335423	−	0.0327583i
$111$	2.85011	−	8.77172i	0.270520	−	0.832575i
$112$	−0.323201	+	0.634319i	−0.0305397	+	0.0599375i
$113$	−3.30964	+	20.8962i	−0.311345	+	1.96575i	−0.0582961	+	0.998299i	$0.518567\pi$
$113$	−3.30964	+	20.8962i	−0.311345	+	1.96575i	−0.253049	+	0.967454i	$0.581433\pi$
$114$	−0.407670	−	1.25468i	−0.0381818	−	0.117511i
$115$	−0.190879	−	1.95446i	−0.0177995	−	0.182255i
$116$	−0.938636	+	1.29192i	−0.0871502	+	0.119952i
$117$	0.583482	−	3.68396i	0.0539429	−	0.340582i
$118$	−5.37514	+	5.37514i	−0.494822	+	0.494822i
$119$	−2.32408			−0.213048
$120$	1.88424	−	1.20400i	0.172007	−	0.109910i
$121$	2.62702	−	8.08513i	0.238820	−	0.735011i
$122$	6.24256	+	3.18074i	0.565174	+	0.287971i
$123$	−3.02919	−	3.02919i	−0.273133	−	0.273133i
$124$	0.640737	−	5.53077i	0.0575399	−	0.496678i
$125$	−11.0014	−	1.99255i	−0.983991	−	0.178219i
$126$	0.219993	+	0.677069i	0.0195985	+	0.0603181i
$127$	5.51819	+	10.8301i	0.489660	+	0.961013i	0.995168	+	0.0981903i	$0.0313054\pi$
$127$	5.51819	+	10.8301i	0.489660	+	0.961013i	−0.505507	+	0.862822i	$0.668695\pi$
$128$	−0.156434	+	0.987688i	−0.0138270	+	0.0873001i
$129$		−	6.13695i		−	0.540329i
$130$	0.497831	−	8.32539i	0.0436626	−	0.730185i
$131$	12.5338	−	9.10636i	1.09509	−	0.795626i	0.114834	−	0.993385i	$-0.463366\pi$
$131$	12.5338	−	9.10636i	1.09509	−	0.795626i	0.980251	+	0.197759i	$0.0633662\pi$
$132$	0.247285	+	1.56130i	0.0215234	+	0.135893i
$133$	0.927626	−	0.146921i	0.0804353	−	0.0127397i
$134$	−8.29560	+	2.69540i	−0.716631	+	0.232847i
$135$	0.481002	−	2.18372i	0.0413981	−	0.187945i
$136$	−3.10478	+	1.00880i	−0.266232	+	0.0865041i
$137$	−5.99066	−	11.7573i	−0.511816	−	1.00450i	−0.991870	−	0.127257i	$-0.959383\pi$
$137$	−5.99066	−	11.7573i	−0.511816	−	1.00450i	0.480054	−	0.877239i	$-0.340617\pi$
$138$	0.867409	−	0.137384i	0.0738388	−	0.0116949i
$139$	0.196156	−	0.603705i	0.0166377	−	0.0512056i	−0.942393	−	0.334508i	$-0.891430\pi$
$139$	0.196156	−	0.603705i	0.0166377	−	0.0512056i	0.959031	+	0.283302i	$0.0914299\pi$
$140$	0.636749	+	1.45899i	0.0538151	+	0.123307i
$141$	7.04196	−	9.69243i	0.593040	−	0.816250i
$142$	8.04254	−	4.09788i	0.674915	−	0.343886i
$143$	5.25341	+	2.67674i	0.439312	+	0.223841i
$144$	0.587785	+	0.809017i	0.0489821	+	0.0674181i
$145$	0.898757	+	3.45583i	0.0746377	+	0.286991i
$146$	−2.77639	+	3.82138i	−0.229776	+	0.316259i
$147$	6.41324	−	1.01576i	0.528955	−	0.0837782i
$148$	9.10958	+	1.44282i	0.748803	+	0.118599i
$149$			9.18605i			0.752550i	0.926508	+	0.376275i	$0.122795\pi$
$149$			9.18605i			0.752550i	−0.926508	+	0.376275i	$0.877205\pi$
$150$	0.595836	−	4.96437i	0.0486498	−	0.405339i
$151$	−1.21894	−	1.67772i	−0.0991956	−	0.136531i	0.756534	−	0.653954i	$-0.226891\pi$
$151$	−1.21894	−	1.67772i	−0.0991956	−	0.136531i	−0.855730	+	0.517423i	$0.826891\pi$
$152$	1.17546	−	0.598926i	0.0953422	−	0.0485793i
$153$	−1.48208	+	2.90874i	−0.119819	+	0.235158i
$154$	−1.12536			−0.0906842
$155$	−8.64370	−	8.96027i	−0.694278	−	0.719706i
$156$	3.72988			0.298629
$157$	−1.05536	+	2.07125i	−0.0842265	+	0.165304i	−0.929278	−	0.369381i	$-0.879570\pi$
$157$	−1.05536	+	2.07125i	−0.0842265	+	0.165304i	0.845051	+	0.534685i	$0.179570\pi$
$158$	−5.16045	+	2.62938i	−0.410543	+	0.209182i
$159$	−7.41305	−	10.2032i	−0.587893	−	0.809166i
$160$	1.48394	+	1.67270i	0.117316	+	0.132238i
$161$			0.625217i			0.0492740i
$162$	0.987688	+	0.156434i	0.0776001	+	0.0122907i
$163$	2.72047	−	0.430880i	0.213084	−	0.0337491i	−0.0489799	−	0.998800i	$-0.515597\pi$
$163$	2.72047	−	0.430880i	0.213084	−	0.0337491i	0.262063	+	0.965051i	$0.415597\pi$
$164$	2.51803	−	3.46577i	0.196625	−	0.270631i
$165$	3.04802	+	1.78984i	0.237288	+	0.139339i
$166$	1.39018	+	1.91342i	0.107899	+	0.148510i
$167$	11.1825	+	5.69775i	0.865325	+	0.440905i	0.829535	−	0.558454i	$-0.188605\pi$
$167$	11.1825	+	5.69775i	0.865325	+	0.440905i	0.0357894	+	0.999359i	$0.488605\pi$
$168$	−0.634319	+	0.323201i	−0.0489387	+	0.0249355i
$169$	0.536056	−	0.737818i	0.0412351	−	0.0567552i
$170$	−2.66613	+	6.79546i	−0.204483	+	0.521188i
$171$	0.407670	−	1.25468i	0.0311753	−	0.0959477i
$172$	6.06140	−	0.960031i	0.462177	−	0.0732017i
$173$	2.61150	+	5.12536i	0.198549	+	0.389674i	0.968717	−	0.248166i	$-0.0798280\pi$
$173$	2.61150	+	5.12536i	0.198549	+	0.389674i	−0.770169	+	0.637840i	$0.779828\pi$
$174$	−1.51875	+	0.493470i	−0.115136	+	0.0374099i
$175$	3.42433	+	0.971831i	0.258855	+	0.0734635i
$176$	−1.50339	+	0.488481i	−0.113322	+	0.0368206i
$177$	−7.50801	+	1.18915i	−0.564336	+	0.0893821i
$178$	−2.01260	−	12.7071i	−0.150851	−	0.952436i
$179$	1.60442	−	1.16568i	0.119920	−	0.0871269i	−0.526209	−	0.850355i	$-0.676387\pi$
$179$	1.60442	−	1.16568i	0.119920	−	0.0871269i	0.646129	+	0.763229i	$0.276387\pi$
$180$	2.23208	+	0.133471i	0.166369	+	0.00994834i
$181$			11.3855i			0.846274i	0.906066	+	0.423137i	$0.139071\pi$
$181$			11.3855i			0.846274i	−0.906066	+	0.423137i	$0.860929\pi$
$182$	−0.415388	+	2.62265i	−0.0307906	+	0.194404i
$183$	3.18074	+	6.24256i	0.235127	+	0.461463i
$184$	0.271385	+	0.835239i	0.0200068	+	0.0615746i
$185$	15.4275	−	13.6866i	1.13425	−	1.00626i
$186$	3.76927	−	4.09787i	0.276377	−	0.300471i
$187$	−3.64900	−	3.64900i	−0.266842	−	0.266842i
$188$	10.6747	+	5.43904i	0.778533	+	0.396682i
$189$	−0.219993	+	0.677069i	−0.0160021	+	0.0492495i
$190$	0.634561	−	2.88087i	0.0460359	−	0.209000i
$191$	3.13439			0.226797			0.113398	−	0.993550i	$-0.463826\pi$
$191$	3.13439			0.226797			0.113398	+	0.993550i	$0.463826\pi$
$192$	−0.707107	+	0.707107i	−0.0510310	+	0.0510310i
$193$	0.941920	−	5.94705i	0.0678009	−	0.428078i	−0.930317	−	0.366756i	$-0.880468\pi$
$193$	0.941920	−	5.94705i	0.0678009	−	0.428078i	0.998118	−	0.0613218i	$-0.0195316\pi$
$194$	3.42744	−	4.71746i	0.246076	−	0.338694i
$195$	5.29630	−	6.44277i	0.379276	−	0.461376i
$196$	2.00650	+	6.17538i	0.143322	+	0.441099i
$197$	−1.76158	+	11.1222i	−0.125508	+	0.792424i	0.841980	+	0.539508i	$0.181390\pi$
$197$	−1.76158	+	11.1222i	−0.125508	+	0.792424i	−0.967488	+	0.252916i	$0.918610\pi$
$198$	−0.717649	+	1.40847i	−0.0510011	+	0.100095i
$199$	−0.164147	+	0.505194i	−0.0116361	+	0.0358123i	−0.956706	−	0.291056i	$-0.905993\pi$
$199$	−0.164147	+	0.505194i	−0.0116361	+	0.0358123i	0.945070	+	0.326868i	$0.105993\pi$
$200$	4.99646	−	0.188098i	0.353303	−	0.0133006i
$201$	−8.29560	−	2.69540i	−0.585127	−	0.190119i
$202$	−11.7405	+	5.98208i	−0.826059	+	0.420898i
$203$	−0.177843	−	1.12286i	−0.0124822	−	0.0788092i
$204$	−3.10478	−	1.00880i	−0.217378	−	0.0706303i
$205$	−2.41104	−	9.27075i	−0.168395	−	0.647497i
$206$	−0.411549	+	0.299008i	−0.0286740	+	0.0208328i
$207$	0.782501	+	0.398704i	0.0543876	+	0.0277119i
$208$	0.583482	+	3.68396i	0.0404572	+	0.255436i
$209$	1.68713	+	1.22577i	0.116701	+	0.0847885i
$210$	−0.342431	+	1.55462i	−0.0236300	+	0.107279i
$211$	2.50495			0.172448			0.0862239	−	0.996276i	$-0.472520\pi$
$211$	2.50495			0.172448			0.0862239	+	0.996276i	$0.472520\pi$
$212$	8.91792	−	8.91792i	0.612485	−	0.612485i
$213$	8.91523	+	1.41203i	0.610861	+	0.0967509i
$214$	4.69109	+	1.52423i	0.320676	+	0.104194i
$215$	6.94867	−	11.8333i	0.473895	−	0.807024i
$216$			1.00000i			0.0680414i
$217$	2.46163	+	3.10673i	0.167107	+	0.210898i
$218$	−4.70754	+	4.70754i	−0.318835	+	0.318835i
$219$	−4.49230	+	1.45964i	−0.303561	+	0.0986331i
$220$	−1.29099	+	3.29049i	−0.0870384	+	0.221845i
$221$	−9.85091	+	7.15710i	−0.662644	+	0.481439i
$222$	6.52174	+	6.52174i	0.437711	+	0.437711i
$223$	−14.9763	−	14.9763i	−1.00289	−	1.00289i	−0.999996	−	0.00289273i	$-0.999079\pi$
$223$	−14.9763	−	14.9763i	−1.00289	−	1.00289i	−0.00289273	−	0.999996i	$-0.500921\pi$
$224$	−0.418452	−	0.575949i	−0.0279590	−	0.0384822i
$225$	3.40003	−	3.66604i	0.226668	−	0.244402i
$226$	−17.1161	−	12.4356i	−1.13855	−	0.827204i
$227$	2.81534	−	5.52541i	0.186860	−	0.366734i	−0.778504	−	0.627640i	$-0.784021\pi$
$227$	2.81534	−	5.52541i	0.186860	−	0.366734i	0.965364	+	0.260905i	$0.0840211\pi$
$228$	1.30301	+	0.206376i	0.0862936	+	0.0136676i
$229$	4.87064	+	14.9903i	0.321861	+	0.990585i	0.972838	+	0.231488i	$0.0743594\pi$
$229$	4.87064	+	14.9903i	0.321861	+	0.990585i	−0.650977	+	0.759097i	$0.725641\pi$
$230$	1.82810	+	0.717234i	0.120541	+	0.0472930i
$231$	−0.910436	−	0.661471i	−0.0599023	−	0.0435216i
$232$	−0.724979	−	1.42285i	−0.0475972	−	0.0934148i
$233$	12.9956	+	25.5054i	0.851372	+	1.67091i	0.735373	+	0.677662i	$0.237007\pi$
$233$	12.9956	+	25.5054i	0.851372	+	1.67091i	0.115999	+	0.993249i	$0.462993\pi$
$234$	3.01754	+	2.19237i	0.197262	+	0.143320i
$235$	24.5528	−	10.7156i	1.60165	−	0.699009i
$236$	−2.34902	−	7.22955i	−0.152908	−	0.470604i
$237$	−5.72040	−	0.906023i	−0.371580	−	0.0588525i
$238$	1.05511	−	2.07077i	0.0683925	−	0.134228i
$239$	−13.1604	−	9.56159i	−0.851275	−	0.618488i	0.0742220	−	0.997242i	$-0.476353\pi$
$239$	−13.1604	−	9.56159i	−0.851275	−	0.618488i	−0.925497	+	0.378754i	$0.876353\pi$
$240$	0.217347	+	2.22548i	0.0140297	+	0.143654i
$241$	7.69597	+	10.5926i	0.495741	+	0.682329i	0.981434	−	0.191800i	$-0.0614326\pi$
$241$	7.69597	+	10.5926i	0.495741	+	0.682329i	−0.485693	+	0.874130i	$0.661433\pi$
$242$	6.01126	+	6.01126i	0.386418	+	0.386418i
$243$	0.707107	+	0.707107i	0.0453609	+	0.0453609i
$244$	−5.66812	+	4.11813i	−0.362864	+	0.263636i
$245$	13.5161	+	5.30291i	0.863515	+	0.338791i
$246$	4.07425	−	1.32380i	0.259765	−	0.0844027i
$247$	3.47941	−	3.47941i	0.221390	−	0.221390i
$248$	4.63707	+	3.08182i	0.294454	+	0.195696i
$249$			2.36512i			0.149883i
$250$	6.76989	−	8.89767i	0.428165	−	0.562738i
$251$	15.6204	+	5.07539i	0.985953	+	0.320356i	0.757239	−	0.653138i	$-0.226548\pi$
$251$	15.6204	+	5.07539i	0.985953	+	0.320356i	0.228714	+	0.973494i	$0.426548\pi$
$252$	−0.703148	−	0.111368i	−0.0442941	−	0.00701550i
$253$	−0.981645	+	0.981645i	−0.0617155	+	0.0617155i
$254$	−12.1549			−0.762664
$255$	−6.15122	+	3.93054i	−0.385204	+	0.246140i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	−1.93460	−	12.2146i	−0.120677	−	0.761924i	−0.971599	−	0.236632i	$-0.923956\pi$
$257$	−1.93460	−	12.2146i	−0.120677	−	0.761924i	0.850922	−	0.525291i	$-0.176044\pi$
$258$	5.46807	+	2.78612i	0.340427	+	0.173456i
$259$	−5.31206	+	3.85944i	−0.330075	+	0.239814i
$260$	7.19197	+	4.22322i	0.446027	+	0.261913i
$261$	−1.51875	−	0.493470i	−0.0940080	−	0.0305451i
$262$	2.42359	+	15.3019i	0.149730	+	0.945356i
$263$	15.1234	−	7.70575i	0.932548	−	0.475157i	0.0794100	−	0.996842i	$-0.474696\pi$
$263$	15.1234	−	7.70575i	0.932548	−	0.475157i	0.853138	+	0.521685i	$0.174696\pi$
$264$	−1.50339	−	0.488481i	−0.0925273	−	0.0300639i
$265$	−2.74114	−	28.0674i	−0.168387	−	1.72417i
$266$	−0.290225	+	0.893221i	−0.0177948	+	0.0547669i
$267$	5.84080	−	11.4632i	0.357451	−	0.701538i
$268$	1.36450	−	8.61512i	0.0833502	−	0.526252i
$269$	−4.64960	−	14.3100i	−0.283491	−	0.872497i	−0.986847	−	0.161658i	$-0.948316\pi$
$269$	−4.64960	−	14.3100i	−0.283491	−	0.872497i	0.703355	−	0.710838i	$-0.251684\pi$
$270$	1.72734	+	1.41996i	0.105123	+	0.0864163i
$271$	15.3080	−	21.0697i	0.929897	−	1.27989i	−0.0300027	−	0.999550i	$-0.509552\pi$
$271$	15.3080	−	21.0697i	0.929897	−	1.27989i	0.959900	−	0.280344i	$-0.0904484\pi$
$272$	0.510689	−	3.22436i	0.0309651	−	0.195506i
$273$	−1.87761	+	1.87761i	−0.113638	+	0.113638i
$274$	13.1956			0.797172
$275$	3.85064	+	6.90236i	0.232202	+	0.416228i
$276$	−0.271385	+	0.835239i	−0.0163355	+	0.0502755i
$277$	−16.2263	−	8.26774i	−0.974947	−	0.496760i	−0.107454	−	0.994210i	$-0.534270\pi$
$277$	−16.2263	−	8.26774i	−0.974947	−	0.496760i	−0.867493	+	0.497450i	$0.834270\pi$
$278$	0.448852	+	0.448852i	0.0269204	+	0.0269204i
$279$	5.45808	−	1.09973i	0.326767	−	0.0658388i
$280$	−1.58905	−	0.0950197i	−0.0949637	−	0.00567851i
$281$	−5.97058	−	18.3755i	−0.356175	−	1.09619i	−0.955325	−	0.295557i	$-0.904495\pi$
$281$	−5.97058	−	18.3755i	−0.356175	−	1.09619i	0.599150	−	0.800637i	$-0.295505\pi$
$282$	5.43904	+	10.6747i	0.323890	+	0.635670i
$283$	0.433329	−	2.73593i	0.0257587	−	0.162634i	−0.971456	−	0.237221i	$-0.923764\pi$
$283$	0.433329	−	2.73593i	0.0257587	−	0.162634i	0.997215	+	0.0745862i	$0.0237636\pi$
$284$			9.02636i			0.535616i
$285$	2.20670	−	1.95769i	0.130714	−	0.115963i
$286$	−4.76999	+	3.46560i	−0.282056	+	0.204925i
$287$	0.477090	+	3.01223i	0.0281617	+	0.177806i
$288$	−0.987688	+	0.156434i	−0.0582001	+	0.00921799i
$289$	−6.03225	+	1.96000i	−0.354839	+	0.115294i
$290$	−3.48719	−	0.768114i	−0.204775	−	0.0451052i
$291$	5.54571	−	1.80191i	0.325095	−	0.105630i
$292$	−2.14442	−	4.20865i	−0.125492	−	0.246293i
$293$	−5.97237	+	0.945930i	−0.348909	+	0.0552618i	−0.328430	−	0.944528i	$-0.606519\pi$
$293$	−5.97237	+	0.945930i	−0.348909	+	0.0552618i	−0.0204798	+	0.999790i	$0.506519\pi$
$294$	−2.00650	+	6.17538i	−0.117022	+	0.360156i
$295$	−15.8234	−	6.20814i	−0.921275	−	0.361452i
$296$	−5.42122	+	7.46167i	−0.315102	+	0.433701i
$297$	−1.40847	+	0.717649i	−0.0817275	+	0.0416422i
$298$	−8.18483	−	4.17038i	−0.474134	−	0.241584i
$299$	1.92538	+	2.65006i	0.111348	+	0.153257i
$300$	4.15278	+	2.78467i	0.239761	+	0.160773i
$301$	−2.56802	+	3.53457i	−0.148018	+	0.203729i
$302$	2.04825	−	0.324410i	0.117863	−	0.0186677i
$303$	−13.0144	−	2.06129i	−0.747660	−	0.118418i
$304$			1.31925i			0.0756640i
$305$	−0.935123	+	15.6384i	−0.0535450	+	0.895451i
$306$	−1.91886	−	2.64108i	−0.109694	−	0.150980i
$307$	12.4791	−	6.35843i	0.712222	−	0.362895i	−0.0600432	−	0.998196i	$-0.519124\pi$
$307$	12.4791	−	6.35843i	0.712222	−	0.362895i	0.772265	+	0.635301i	$0.219124\pi$
$308$	0.510903	−	1.00270i	0.0291114	−	0.0571344i
$309$	−0.508702			−0.0289390
$310$	11.9078	−	3.63371i	0.676319	−	0.206381i
$311$	11.9758			0.679083			0.339542	−	0.940591i	$-0.389728\pi$
$311$	11.9758			0.679083			0.339542	+	0.940591i	$0.389728\pi$
$312$	−1.69333	+	3.32335i	−0.0958659	+	0.188147i
$313$	−9.01622	+	4.59399i	−0.509627	+	0.259668i	−0.689843	−	0.723959i	$-0.742320\pi$
$313$	−9.01622	+	4.59399i	−0.509627	+	0.259668i	0.180216	+	0.983627i	$0.442320\pi$
$314$	−1.36638	−	1.88066i	−0.0771092	−	0.106132i
$315$	−1.19081	+	1.05644i	−0.0670948	+	0.0595234i
$316$		−	5.79171i		−	0.325809i
$317$	−12.1684	−	1.92729i	−0.683446	−	0.108247i	−0.194950	−	0.980813i	$-0.562454\pi$
$317$	−12.1684	−	1.92729i	−0.683446	−	0.108247i	−0.488496	+	0.872566i	$0.662454\pi$
$318$	12.4566	−	1.97293i	0.698529	−	0.110636i
$319$	1.48376	−	2.04222i	0.0830744	−	0.114342i
$320$	−2.16408	+	0.562812i	−0.120976	+	0.0314622i
$321$	2.89925	+	3.99048i	0.161821	+	0.222727i
$322$	−0.557072	−	0.283843i	−0.0310444	−	0.0158179i
$323$	−3.83735	+	1.95523i	−0.213516	+	0.108792i
$324$	−0.587785	+	0.809017i	−0.0326547	+	0.0449454i
$325$	17.5073	−	6.42615i	0.971129	−	0.356458i
$326$	−0.851150	+	2.61957i	−0.0471409	+	0.145085i
$327$	−6.57551	+	1.04146i	−0.363626	+	0.0575927i
$328$	1.94486	+	3.81700i	0.107387	+	0.210759i
$329$	−8.11163	+	2.63563i	−0.447209	+	0.145307i
$330$	−2.97853	+	1.90324i	−0.163963	+	0.104770i
$331$	3.49469	−	1.13549i	0.192085	−	0.0624123i	−0.211395	−	0.977401i	$-0.567800\pi$
$331$	3.49469	−	1.13549i	0.192085	−	0.0624123i	0.403480	+	0.914988i	$0.367800\pi$
$332$	−2.33600	+	0.369986i	−0.128205	+	0.0203056i
$333$	1.44282	+	9.10958i	0.0790658	+	0.499202i
$334$	−10.1535	+	7.37692i	−0.555573	+	0.403647i
$335$	−12.9437	−	14.5901i	−0.707190	−	0.797144i
$336$		−	0.711912i		−	0.0388380i
$337$	−3.29608	+	20.8106i	−0.179549	+	1.13363i	0.719083	+	0.694924i	$0.244562\pi$
$337$	−3.29608	+	20.8106i	−0.179549	+	1.13363i	−0.898632	+	0.438704i	$0.855438\pi$
$338$	0.414036	+	0.812592i	0.0225206	+	0.0441992i
$339$	−6.53778	−	20.1212i	−0.355084	−	1.09284i
$340$	−4.84441	−	5.46061i	−0.262725	−	0.296143i
$341$	−1.01285	+	8.74281i	−0.0548489	+	0.473450i
$342$	0.932849	+	0.932849i	0.0504427	+	0.0504427i
$343$	−8.55898	−	4.36102i	−0.462141	−	0.235473i
$344$	−1.89642	+	5.83659i	−0.102248	+	0.314688i
$345$	1.05738	+	1.65478i	0.0569276	+	0.0890906i
$346$	−5.75233			−0.309247
$347$	16.9637	−	16.9637i	0.910658	−	0.910658i	−0.0856663	−	0.996324i	$-0.527302\pi$
$347$	16.9637	−	16.9637i	0.910658	−	0.910658i	0.996324	+	0.0856663i	$0.0273019\pi$
$348$	0.249811	−	1.57724i	0.0133913	−	0.0845491i
$349$	3.28478	−	4.52111i	0.175830	−	0.242010i	−0.712001	−	0.702178i	$-0.752211\pi$
$349$	3.28478	−	4.52111i	0.175830	−	0.242010i	0.887832	+	0.460168i	$0.152211\pi$
$350$	−2.42052	+	2.60990i	−0.129382	+	0.139505i
$351$	1.15260	+	3.54733i	0.0615210	+	0.189342i
$352$	0.247285	−	1.56130i	0.0131803	−	0.0832174i
$353$	10.8475	−	21.2895i	0.577355	−	1.13312i	−0.399000	−	0.916951i	$-0.630643\pi$
$353$	10.8475	−	21.2895i	0.577355	−	1.13312i	0.976355	−	0.216172i	$-0.0693573\pi$
$354$	2.34902	−	7.22955i	0.124849	−	0.384246i
$355$	15.5916	+	12.8171i	0.827515	+	0.680261i
$356$	12.2358	+	3.97565i	0.648496	+	0.210709i
$357$	2.07077	−	1.05511i	0.109597	−	0.0558423i
$358$	0.310236	+	1.95876i	0.0163965	+	0.103523i
$359$	−28.4832	−	9.25474i	−1.50328	−	0.488447i	−0.562310	−	0.826926i	$-0.690087\pi$
$359$	−28.4832	−	9.25474i	−1.50328	−	0.488447i	−0.940974	+	0.338480i	$0.890087\pi$
$360$	−1.13227	+	1.92820i	−0.0596757	+	0.101625i
$361$	−13.9633	+	10.1449i	−0.734910	+	0.533944i
$362$	−10.1445	−	5.16889i	−0.533184	−	0.271671i
$363$	1.32988	+	8.39654i	0.0698007	+	0.440704i
$364$	−2.14822	−	1.56077i	−0.112597	−	0.0818068i
$365$	−10.3148	−	2.27201i	−0.539900	−	0.118922i
$366$	−7.00618			−0.366219
$367$	−22.3822	+	22.3822i	−1.16834	+	1.16834i	−0.185746	+	0.982598i	$0.559470\pi$
$367$	−22.3822	+	22.3822i	−1.16834	+	1.16834i	−0.982598	+	0.185746i	$0.940530\pi$
$368$	−0.867409	−	0.137384i	−0.0452168	−	0.00716164i
$369$	4.07425	+	1.32380i	0.212097	+	0.0689145i
$370$	5.19090	+	19.9596i	0.269862	+	1.03765i
$371$			8.97852i			0.466142i
$372$	1.94002	+	5.21884i	0.100585	+	0.270584i
$373$	−23.3968	+	23.3968i	−1.21144	+	1.21144i	−0.240891	+	0.970552i	$0.577439\pi$
$373$	−23.3968	+	23.3968i	−1.21144	+	1.21144i	−0.970552	+	0.240891i	$0.922561\pi$
$374$	4.90790	−	1.59467i	0.253781	−	0.0824586i
$375$	10.7069	−	3.21913i	0.552901	−	0.166235i
$376$	−9.69243	+	7.04196i	−0.499849	+	0.363162i
$377$	−4.21171	−	4.21171i	−0.216914	−	0.216914i
$378$	−0.503398	−	0.503398i	−0.0258920	−	0.0258920i
$379$	11.4915	+	15.8168i	0.590281	+	0.812452i	0.994775	−	0.102088i	$-0.0325525\pi$
$379$	11.4915	+	15.8168i	0.590281	+	0.812452i	−0.404494	+	0.914541i	$0.632552\pi$
$380$	2.27879	+	1.87328i	0.116899	+	0.0960975i
$381$	−9.83349	−	7.14445i	−0.503785	−	0.366021i
$382$	−1.42298	+	2.79276i	−0.0728062	+	0.142890i
$383$	−2.39458	−	0.379264i	−0.122357	−	0.0193795i	0.0949555	−	0.995482i	$-0.469729\pi$
$383$	−2.39458	−	0.379264i	−0.122357	−	0.0193795i	−0.217313	+	0.976102i	$0.569729\pi$
$384$	−0.309017	−	0.951057i	−0.0157695	−	0.0485334i
$385$	−1.00655	−	2.30631i	−0.0512983	−	0.117540i
$386$	4.87123	+	3.53916i	0.247939	+	0.180138i
$387$	2.78612	+	5.46807i	0.141626	+	0.277957i
$388$	2.64727	+	5.19555i	0.134395	+	0.263764i
$389$	−0.878270	−	0.638101i	−0.0445301	−	0.0323530i	0.565298	−	0.824887i	$-0.308761\pi$
$389$	−0.878270	−	0.638101i	−0.0445301	−	0.0323530i	−0.609828	+	0.792534i	$0.708761\pi$
$390$	3.33608	+	7.64399i	0.168929	+	0.387068i
$391$	−0.885952	−	2.72668i	−0.0448045	−	0.137894i
$392$	−6.41324	−	1.01576i	−0.323917	−	0.0513035i
$393$	−7.03352	+	13.8041i	−0.354794	+	0.696323i
$394$	−9.11022	−	6.61896i	−0.458966	−	0.333458i
$395$	−10.0042	−	8.22402i	−0.503368	−	0.413795i
$396$	−0.929146	−	1.27886i	−0.0466914	−	0.0642651i
$397$	−8.86023	−	8.86023i	−0.444682	−	0.444682i	0.448900	−	0.893582i	$-0.351816\pi$
$397$	−8.86023	−	8.86023i	−0.444682	−	0.444682i	−0.893582	+	0.448900i	$0.851816\pi$
$398$	−0.375610	−	0.375610i	−0.0188276	−	0.0188276i
$399$	−0.759819	+	0.552041i	−0.0380386	+	0.0276366i
$400$	−2.10075	+	4.53727i	−0.105037	+	0.226864i
$401$	−1.23187	+	0.400260i	−0.0615169	+	0.0199880i	−0.339614	−	0.940565i	$-0.610296\pi$
$401$	−1.23187	+	0.400260i	−0.0615169	+	0.0199880i	0.278097	+	0.960553i	$0.410296\pi$
$402$	6.16775	−	6.16775i	0.307619	−	0.307619i
$403$	20.0013	+	5.58755i	0.996335	+	0.278336i
$404$		−	13.1767i		−	0.655564i
$405$	0.562812	+	2.16408i	0.0279664	+	0.107534i
$406$	1.08121	+	0.351308i	0.0536597	+	0.0174351i
$407$	−14.4000	−	2.28074i	−0.713784	−	0.113052i
$408$	2.30839	−	2.30839i	0.114282	−	0.114282i
$409$	−2.95984			−0.146355			−0.0731773	−	0.997319i	$-0.523314\pi$
$409$	−2.95984			−0.146355			−0.0731773	+	0.997319i	$0.523314\pi$
$410$	9.35489	+	2.06058i	0.462005	+	0.101765i
$411$	10.6754	+	7.75615i	0.526580	+	0.382583i
$412$	−0.0795785	−	0.502439i	−0.00392055	−	0.0247534i
$413$	4.82183	+	2.45685i	0.237267	+	0.120894i
$414$	−0.710496	+	0.516206i	−0.0349190	+	0.0253701i
$415$	−2.67795	+	4.56043i	−0.131455	+	0.223863i
$416$	−3.54733	−	1.15260i	−0.173922	−	0.0565107i
$417$	0.0993003	+	0.626958i	0.00486276	+	0.0307023i
$418$	−1.85811	+	0.946757i	−0.0908834	+	0.0463074i
$419$	−2.76355	−	0.897932i	−0.135008	−	0.0438668i	0.240734	−	0.970591i	$-0.422612\pi$
$419$	−2.76355	−	0.897932i	−0.135008	−	0.0438668i	−0.375742	+	0.926724i	$0.622612\pi$
$420$	−1.22971	−	1.01089i	−0.0600039	−	0.0493264i
$421$	−1.32866	+	4.08920i	−0.0647549	+	0.199295i	−0.978199	−	0.207669i	$-0.933412\pi$
$421$	−1.32866	+	4.08920i	−0.0647549	+	0.199295i	0.913444	+	0.406964i	$0.133412\pi$
$422$	−1.13722	+	2.23193i	−0.0553591	+	0.108648i
$423$	−1.87416	+	11.8330i	−0.0911250	+	0.575340i
$424$	3.89727	+	11.9946i	0.189268	+	0.582508i
$425$	−16.3112	+	0.614057i	−0.791210	+	0.0297861i
$426$	−5.30556	+	7.30248i	−0.257055	+	0.353806i
$427$	0.780262	−	4.92638i	0.0377595	−	0.238404i
$428$	−3.48781	+	3.48781i	−0.168590	+	0.168590i
$429$	−5.89604			−0.284663
$430$	7.38892	+	11.5635i	0.356325	+	0.557642i
$431$	1.11322	−	3.42614i	0.0536219	−	0.165031i	−0.920659	−	0.390367i	$-0.872348\pi$
$431$	1.11322	−	3.42614i	0.0536219	−	0.165031i	0.974281	+	0.225336i	$0.0723480\pi$
$432$	−0.891007	−	0.453990i	−0.0428686	−	0.0218426i
$433$	−4.43768	−	4.43768i	−0.213262	−	0.213262i	0.592390	−	0.805651i	$-0.298185\pi$
$433$	−4.43768	−	4.43768i	−0.213262	−	0.213262i	−0.805651	+	0.592390i	$0.798185\pi$
$434$	−3.88567	+	0.782908i	−0.186518	+	0.0375808i
$435$	−2.36971	−	2.67114i	−0.113619	−	0.128071i
$436$	−2.05727	−	6.33163i	−0.0985254	−	0.303230i
$437$	0.525990	+	1.03231i	0.0251615	+	0.0493822i
$438$	0.738915	−	4.66533i	0.0353067	−	0.222918i
$439$		−	23.5131i		−	1.12222i	−0.827742	−	0.561109i	$-0.810375\pi$
$439$		−	23.5131i		−	1.12222i	0.827742	−	0.561109i	$-0.189625\pi$
$440$	−2.34575	−	2.64413i	−0.111829	−	0.126054i
$441$	−5.25309	+	3.81660i	−0.250147	+	0.181743i
$442$	−1.90481	−	12.0265i	−0.0906024	−	0.572041i
$443$	10.2178	−	1.61833i	0.485460	−	0.0768894i	0.0910933	−	0.995842i	$-0.470964\pi$
$443$	10.2178	−	1.61833i	0.485460	−	0.0768894i	0.394367	+	0.918953i	$0.370964\pi$
$444$	−8.77172	+	2.85011i	−0.416288	+	0.135260i
$445$	24.2417	−	15.4901i	1.14917	−	0.734300i
$446$	20.1431	−	6.54489i	0.953804	−	0.309910i
$447$	−4.17038	−	8.18483i	−0.197252	−	0.387129i
$448$	0.703148	−	0.111368i	0.0332206	−	0.00526163i
$449$	−10.3231	+	31.7713i	−0.487178	+	1.49938i	0.341624	+	0.939837i	$0.389023\pi$
$449$	−10.3231	+	31.7713i	−0.487178	+	1.49938i	−0.828802	+	0.559542i	$0.810977\pi$
$450$	1.72288	+	4.69379i	0.0812175	+	0.221267i
$451$	−3.98039	+	5.47854i	−0.187429	+	0.257974i
$452$	18.8508	−	9.60495i	0.886666	−	0.451779i
$453$	1.84775	+	0.941476i	0.0868149	+	0.0442344i
$454$	3.64504	+	5.01697i	0.171070	+	0.235458i
$455$	−5.74638	+	1.49446i	−0.269395	+	0.0700615i
$456$	−0.775434	+	1.06729i	−0.0363130	+	0.0499806i
$457$	−27.2441	+	4.31504i	−1.27443	+	0.201849i	−0.756737	−	0.653720i	$-0.773208\pi$
$457$	−27.2441	+	4.31504i	−1.27443	+	0.201849i	−0.517689	+	0.855569i	$0.673208\pi$
$458$	−15.5677	−	2.46567i	−0.727429	−	0.115213i
$459$		−	3.26455i		−	0.152376i
$460$	−1.46900	+	1.30323i	−0.0684925	+	0.0607634i
$461$	−8.67917	−	11.9459i	−0.404229	−	0.556374i	0.557570	−	0.830130i	$-0.311734\pi$
$461$	−8.67917	−	11.9459i	−0.404229	−	0.556374i	−0.961799	+	0.273756i	$0.911734\pi$
$462$	1.00270	−	0.510903i	0.0466500	−	0.0237694i
$463$	−5.37984	+	10.5585i	−0.250022	+	0.490697i	−0.981572	−	0.191091i	$-0.938797\pi$
$463$	−5.37984	+	10.5585i	−0.250022	+	0.490697i	0.731550	+	0.681788i	$0.238797\pi$
$464$	1.59690			0.0741344
$465$	11.7695	+	4.05951i	0.545796	+	0.188255i
$466$	−28.6253			−1.32604
$467$	18.2863	−	35.8889i	0.846189	−	1.66074i	0.100018	−	0.994986i	$-0.468110\pi$
$467$	18.2863	−	35.8889i	0.846189	−	1.66074i	0.746171	−	0.665754i	$-0.231890\pi$
$468$	−3.32335	+	1.69333i	−0.153622	+	0.0782742i
$469$	3.64995	+	5.02372i	0.168539	+	0.231974i
$470$	−1.59905	+	26.7415i	−0.0737587	+	1.23349i
$471$		−	2.32462i		−	0.107113i
$472$	7.50801	+	1.18915i	0.345584	+	0.0547351i
$473$	−9.58160	+	1.51758i	−0.440563	+	0.0697782i
$474$	3.40428	−	4.68559i	0.156364	−	0.215216i
$475$	6.47160	−	1.27624i	0.296937	−	0.0585580i
$476$	1.36606	+	1.88022i	0.0626132	+	0.0861796i
$477$	11.2372	+	5.72565i	0.514517	+	0.262160i
$478$	14.4941	−	7.38513i	0.662946	−	0.337788i
$479$	3.31453	−	4.56206i	0.151445	−	0.208446i	−0.726553	−	0.687110i	$-0.758879\pi$
$479$	3.31453	−	4.56206i	0.151445	−	0.208446i	0.877998	+	0.478664i	$0.158879\pi$
$480$	−2.08159	−	0.816689i	−0.0950112	−	0.0372766i
$481$	−10.6305	+	32.7175i	−0.484711	+	1.49179i
$482$	−12.9320	+	2.04822i	−0.589035	+	0.0932940i
$483$	−0.283843	−	0.557072i	−0.0129153	−	0.0253477i
$484$	−8.08513	+	2.62702i	−0.367506	+	0.119410i
$485$	12.7335	+	2.80477i	0.578199	+	0.127358i
$486$	−0.951057	+	0.309017i	−0.0431408	+	0.0140173i
$487$	−34.4995	+	5.46418i	−1.56332	+	0.247606i	−0.877288	−	0.479964i	$-0.840650\pi$
$487$	−34.4995	+	5.46418i	−1.56332	+	0.247606i	−0.686033	+	0.727570i	$0.740650\pi$
$488$	−1.09601	−	6.91993i	−0.0496140	−	0.313250i
$489$	−2.22834	+	1.61898i	−0.100769	+	0.0732130i
$490$	−10.8611	+	9.63550i	−0.490656	+	0.435287i
$491$		−	32.3612i		−	1.46044i	−0.683211	−	0.730221i	$-0.739417\pi$
$491$		−	32.3612i		−	1.46044i	0.683211	−	0.730221i	$-0.260583\pi$
$492$	−0.670153	+	4.23118i	−0.0302128	+	0.190756i
$493$	2.36673	+	4.64498i	0.106592	+	0.209199i
$494$	1.52056	+	4.67980i	0.0684132	+	0.210554i
$495$	−3.52838	−	0.210985i	−0.158589	−	0.00948309i
$496$	−4.85111	+	2.73254i	−0.217821	+	0.122695i
$497$	−4.54385	−	4.54385i	−0.203820	−	0.203820i
$498$	−2.10734	−	1.07374i	−0.0944320	−	0.0481155i
$499$	−11.4259	+	35.1652i	−0.511492	+	1.57421i	0.278083	+	0.960557i	$0.410301\pi$
$499$	−11.4259	+	35.1652i	−0.511492	+	1.57421i	−0.789575	+	0.613654i	$0.789699\pi$
$500$	4.85442	+	10.0715i	0.217096	+	0.450410i
$501$	−12.5504			−0.560709
$502$	−11.6137	+	11.6137i	−0.518346	+	0.518346i
$503$	3.36893	−	21.2706i	0.150213	−	0.948410i	−0.791299	−	0.611430i	$-0.790595\pi$
$503$	3.36893	−	21.2706i	0.150213	−	0.948410i	0.941512	−	0.336980i	$-0.109405\pi$
$504$	0.418452	−	0.575949i	0.0186393	−	0.0256548i
$505$	−22.7606	−	18.7104i	−1.01283	−	0.832602i
$506$	−0.428995	−	1.32031i	−0.0190711	−	0.0586949i
$507$	−0.142667	+	0.900765i	−0.00633607	+	0.0400044i
$508$	5.51819	−	10.8301i	0.244830	−	0.480506i
$509$	−2.40294	+	7.39550i	−0.106509	+	0.327800i	−0.990082	−	0.140494i	$-0.955131\pi$
$509$	−2.40294	+	7.39550i	−0.106509	+	0.327800i	0.883573	+	0.468293i	$0.155131\pi$
$510$	−0.709540	−	7.26520i	−0.0314189	−	0.321708i
$511$	3.19812	+	1.03913i	0.141477	+	0.0459685i
$512$	0.891007	−	0.453990i	0.0393773	−	0.0200637i
$513$	0.206376	+	1.30301i	0.00911171	+	0.0575291i
$514$	11.7616	+	3.82156i	0.518780	+	0.168562i
$515$	−0.980881	−	0.575987i	−0.0432228	−	0.0253810i
$516$	−4.96490	+	3.60721i	−0.218567	+	0.158799i
$517$	−16.8741	−	8.59780i	−0.742123	−	0.378131i
$518$	−1.02716	−	6.48522i	−0.0451308	−	0.284944i
$519$	−4.65373	−	3.38113i	−0.204276	−	0.148415i
$520$	−7.02800	+	4.49079i	−0.308198	+	0.196934i
$521$	−15.6409			−0.685241			−0.342620	−	0.939474i	$-0.611314\pi$
$521$	−15.6409			−0.685241			−0.342620	+	0.939474i	$0.611314\pi$
$522$	1.12918	−	1.12918i	0.0494229	−	0.0494229i
$523$	6.42611	+	1.01780i	0.280994	+	0.0445051i	0.295341	−	0.955392i	$-0.404567\pi$
$523$	6.42611	+	1.01780i	0.280994	+	0.0445051i	−0.0143465	+	0.999897i	$0.504567\pi$
$524$	−14.7344	−	4.78749i	−0.643675	−	0.209143i
$525$	−3.49230	+	0.688705i	−0.152417	+	0.0300575i
$526$			16.9734i			0.740074i
$527$	−15.1380	−	10.0608i	−0.659420	−	0.438254i
$528$	1.11776	−	1.11776i	0.0486445	−	0.0486445i
$529$	21.1408	−	6.86905i	0.919164	−	0.298655i
$530$	26.2527	+	10.3000i	1.14034	+	0.447401i
$531$	6.14982	−	4.46811i	0.266880	−	0.193899i
$532$	−0.664107	−	0.664107i	−0.0287927	−	0.0287927i
$533$	11.2985	+	11.2985i	0.489393	+	0.489393i
$534$	7.56214	+	10.4084i	0.327246	+	0.450415i
$535$	1.07206	+	10.9772i	0.0463493	+	0.474585i
$536$	7.05666	+	5.12696i	0.304801	+	0.221451i
$537$	−0.900341	+	1.76702i	−0.0388526	+	0.0762525i
$538$	14.8612	+	2.35378i	0.640711	+	0.101479i
$539$	−3.17180	−	9.76178i	−0.136619	−	0.420470i
$540$	−2.04939	+	0.894420i	−0.0881918	+	0.0384897i
$541$	35.1438	+	25.5335i	1.51095	+	1.09777i	0.965753	+	0.259464i	$0.0835459\pi$
$541$	35.1438	+	25.5335i	1.51095	+	1.09777i	0.545199	+	0.838307i	$0.316454\pi$
$542$	11.8235	+	23.2050i	0.507865	+	0.996740i
$543$	−5.16889	−	10.1445i	−0.221818	−	0.435343i
$544$	2.64108	+	1.91886i	0.113235	+	0.0822703i
$545$	−13.8581	−	5.43709i	−0.593617	−	0.232899i
$546$	−0.820547	−	2.52538i	−0.0351162	−	0.108076i
$547$	5.57918	+	0.883656i	0.238549	+	0.0377824i	0.274564	−	0.961569i	$-0.411467\pi$
$547$	5.57918	+	0.883656i	0.238549	+	0.0377824i	−0.0360153	+	0.999351i	$0.511467\pi$
$548$	−5.99066	+	11.7573i	−0.255908	+	0.502248i
$549$	−5.66812	−	4.11813i	−0.241910	−	0.175758i
$550$	−7.89820	+	0.297338i	−0.336780	+	0.0126785i
$551$	−1.23829	−	1.70436i	−0.0527531	−	0.0726084i
$552$	−0.620997	−	0.620997i	−0.0264314	−	0.0264314i
$553$	2.91554	+	2.91554i	0.123981	+	0.123981i
$554$	14.7332	−	10.7043i	0.625954	−	0.454782i
$555$	−7.53244	+	19.1988i	−0.319734	+	0.814943i
$556$	−0.603705	+	0.196156i	−0.0256028	+	0.00831885i
$557$	16.7665	−	16.7665i	0.710419	−	0.710419i	−0.256203	−	0.966623i	$-0.582472\pi$
$557$	16.7665	−	16.7665i	0.710419	−	0.710419i	0.966623	+	0.256203i	$0.0824717\pi$
$558$	−1.49805	+	5.36245i	−0.0634176	+	0.227010i
$559$			22.8901i			0.968148i
$560$	0.806075	−	1.37271i	0.0340629	−	0.0580077i
$561$	4.90790	+	1.59467i	0.207212	+	0.0673271i
$562$	19.0833	+	3.02250i	0.804981	+	0.127497i
$563$	16.4513	−	16.4513i	0.693339	−	0.693339i	−0.269626	−	0.962965i	$-0.586900\pi$
$563$	16.4513	−	16.4513i	0.693339	−	0.693339i	0.962965	+	0.269626i	$0.0869001\pi$
$564$	−11.9805			−0.504470
$565$	10.1764	−	46.2004i	0.428125	−	1.94366i
$566$	2.24101	+	1.62819i	0.0941965	+	0.0684378i
$567$	−0.111368	−	0.703148i	−0.00467700	−	0.0295294i
$568$	−8.04254	−	4.09788i	−0.337458	−	0.171943i
$569$	−2.93952	+	2.13569i	−0.123231	+	0.0895328i	−0.647694	−	0.761901i	$-0.724266\pi$
$569$	−2.93952	+	2.13569i	−0.123231	+	0.0895328i	0.524462	+	0.851434i	$0.324266\pi$
$570$	0.742489	+	2.85496i	0.0310994	+	0.119581i
$571$	−13.9368	−	4.52833i	−0.583235	−	0.189505i	0.00251430	−	0.999997i	$-0.499200\pi$
$571$	−13.9368	−	4.52833i	−0.583235	−	0.189505i	−0.585749	+	0.810492i	$0.699200\pi$
$572$	−0.922343	−	5.82345i	−0.0385651	−	0.243490i
$573$	−2.79276	+	1.42298i	−0.116669	+	0.0594460i
$574$	−2.90051	−	0.942433i	−0.121065	−	0.0393364i
$575$	0.165192	+	4.38800i	0.00688898	+	0.182992i
$576$	0.309017	−	0.951057i	0.0128757	−	0.0396274i
$577$	12.4628	−	24.4596i	0.518834	−	1.01827i	−0.471798	−	0.881707i	$-0.656395\pi$
$577$	12.4628	−	24.4596i	0.518834	−	1.01827i	0.990632	−	0.136562i	$-0.0436052\pi$
$578$	0.992215	−	6.26460i	0.0412707	−	0.260573i
$579$	1.86065	+	5.72648i	0.0773258	+	0.237984i
$580$	2.26755	−	2.75839i	0.0941548	−	0.114536i
$581$	0.989688	−	1.36219i	0.0410592	−	0.0565131i
$582$	−0.912186	+	5.75932i	−0.0378113	+	0.238731i
$583$	−14.0971	+	14.0971i	−0.583841	+	0.583841i
$584$	4.72348			0.195459
$585$	−1.79408	+	8.14501i	−0.0741761	+	0.336755i
$586$	1.86857	−	5.75086i	0.0771898	−	0.237566i
$587$	29.0570	+	14.8053i	1.19931	+	0.611078i	0.935442	−	0.353481i	$-0.115002\pi$
$587$	29.0570	+	14.8053i	1.19931	+	0.611078i	0.263867	+	0.964559i	$0.415002\pi$
$588$	−4.59137	−	4.59137i	−0.189345	−	0.189345i
$589$	6.67813	+	3.05865i	0.275168	+	0.126029i
$590$	12.7152	−	11.2803i	0.523475	−	0.464404i
$591$	−3.47979	−	10.7097i	−0.143140	−	0.440538i
$592$	−4.18722	−	8.21787i	−0.172093	−	0.337752i
$593$	5.30543	−	33.4972i	0.217868	−	1.37556i	−0.599927	−	0.800055i	$-0.704804\pi$
$593$	5.30543	−	33.4972i	0.217868	−	1.37556i	0.817795	−	0.575510i	$-0.195196\pi$
$594$		−	1.58076i		−	0.0648593i
$595$	5.18753	+	0.310197i	0.212668	+	0.0127168i
$596$	7.43167	−	5.39942i	0.304413	−	0.221169i
$597$	−0.0830968	−	0.524653i	−0.00340093	−	0.0214726i
$598$	−3.23533	+	0.512426i	−0.132303	+	0.0209547i
$599$	−37.9714	+	12.3377i	−1.55147	+	0.504103i	−0.954513	−	0.298169i	$-0.903624\pi$
$599$	−37.9714	+	12.3377i	−1.55147	+	0.504103i	−0.596958	+	0.802273i	$0.703624\pi$
$600$	−4.36648	+	2.43594i	−0.178261	+	0.0994469i
$601$	−7.67661	+	2.49428i	−0.313135	+	0.101744i	−0.461369	−	0.887209i	$-0.652641\pi$
$601$	−7.67661	+	2.49428i	−0.313135	+	0.101744i	0.148233	+	0.988952i	$0.452641\pi$
$602$	−1.98347	−	3.89278i	−0.0808403	−	0.158658i
$603$	8.61512	−	1.36450i	0.350835	−	0.0555668i
$604$	−0.640833	+	1.97228i	−0.0260751	+	0.0802509i
$605$	−6.94284	+	17.6960i	−0.282267	+	0.719446i
$606$	7.74505	−	10.6602i	0.314621	−	0.433039i
$607$	−24.0233	+	12.2405i	−0.975074	+	0.496825i	−0.867535	−	0.497376i	$-0.834297\pi$
$607$	−24.0233	+	12.2405i	−0.975074	+	0.496825i	−0.107539	+	0.994201i	$0.534297\pi$
$608$	−1.17546	−	0.598926i	−0.0476711	−	0.0242896i
$609$	0.668227	+	0.919735i	0.0270779	+	0.0372696i
$610$	−13.5094	−	7.93287i	−0.546978	−	0.321193i
$611$	−26.2657	+	36.1516i	−1.06260	+	1.46254i
$612$	3.22436	−	0.510689i	0.130337	−	0.0206434i
$613$	34.7812	+	5.50880i	1.40480	+	0.222498i	0.812379	−	0.583130i	$-0.198172\pi$
$613$	34.7812	+	5.50880i	1.40480	+	0.222498i	0.592421	+	0.805629i	$0.298172\pi$
$614$			14.0057i			0.565222i
$615$	6.35709	+	7.16571i	0.256343	+	0.288949i
$616$	0.661471	+	0.910436i	0.0266514	+	0.0366825i
$617$	12.6952	−	6.46855i	0.511091	−	0.260414i	−0.179372	−	0.983781i	$-0.557407\pi$
$617$	12.6952	−	6.46855i	0.511091	−	0.260414i	0.690463	+	0.723367i	$0.257407\pi$
$618$	0.230946	−	0.453257i	0.00929001	−	0.0182327i
$619$	16.4591			0.661547			0.330773	−	0.943710i	$-0.392690\pi$
$619$	16.4591			0.661547			0.330773	+	0.943710i	$0.392690\pi$
$620$	−2.16838	+	12.2596i	−0.0870841	+	0.492358i
$621$	−0.878222			−0.0352418
$622$	−5.43688	+	10.6705i	−0.217999	+	0.427847i
$623$	−8.16081	+	4.15814i	−0.326956	+	0.166592i
$624$	−2.19237	−	3.01754i	−0.0877649	−	0.120798i
$625$	24.2900	+	5.91590i	0.971598	+	0.236636i
$626$		−	10.1191i		−	0.404442i
$627$	−2.05974	−	0.326230i	−0.0822579	−	0.0130284i
$628$	2.29600	−	0.363651i	0.0916204	−	0.0145112i
$629$	17.6979	−	24.3590i	0.705660	−	0.971258i
$630$	−0.400673	−	1.54064i	−0.0159632	−	0.0613804i
$631$	14.6201	+	20.1229i	0.582018	+	0.801079i	0.993915	−	0.110151i	$-0.0351335\pi$
$631$	14.6201	+	20.1229i	0.582018	+	0.801079i	−0.411897	+	0.911231i	$0.635133\pi$
$632$	5.16045	+	2.62938i	0.205272	+	0.104591i
$633$	−2.23193	+	1.13722i	−0.0887111	+	0.0452005i
$634$	7.24157	−	9.96717i	0.287600	−	0.395847i
$635$	−10.8716	−	24.9101i	−0.431424	−	0.988527i
$636$	−3.89727	+	11.9946i	−0.154537	+	0.475616i
$637$	−23.9206	+	3.78865i	−0.947769	+	0.150112i
$638$	1.14602	+	2.24918i	0.0453712	+	0.0890461i
$639$	−8.58458	+	2.78930i	−0.339601	+	0.110343i
$640$	0.481002	−	2.18372i	0.0190133	−	0.0863191i
$641$	45.3059	−	14.7208i	1.78948	−	0.581436i	0.789979	−	0.613134i	$-0.210091\pi$
$641$	45.3059	−	14.7208i	1.78948	−	0.581436i	0.999497	+	0.0316981i	$0.0100915\pi$
$642$	−4.87178	+	0.771614i	−0.192274	+	0.0304532i
$643$	3.56503	+	22.5087i	0.140591	+	0.887658i	0.952647	+	0.304078i	$0.0983484\pi$
$643$	3.56503	+	22.5087i	0.140591	+	0.887658i	−0.812056	+	0.583580i	$0.801652\pi$
$644$	0.505811	−	0.367493i	0.0199318	−	0.0144813i
$645$	−0.819105	+	13.6982i	−0.0322522	+	0.539365i
$646$		−	4.30675i		−	0.169447i
$647$	−6.62974	+	41.8586i	−0.260642	+	1.64563i	0.416034	+	0.909349i	$0.363420\pi$
$647$	−6.62974	+	41.8586i	−0.260642	+	1.64563i	−0.676676	+	0.736281i	$0.736580\pi$
$648$	−0.453990	−	0.891007i	−0.0178344	−	0.0350020i
$649$	3.71324	+	11.4282i	0.145757	+	0.448595i
$650$	−2.22240	+	18.5165i	−0.0871696	+	0.726277i
$651$	−3.60376	−	1.65055i	−0.141242	−	0.0646903i
$652$	−1.94764	−	1.94764i	−0.0762755	−	0.0762755i
$653$	−26.7848	−	13.6476i	−1.04817	−	0.534070i	−0.156935	−	0.987609i	$-0.550161\pi$
$653$	−26.7848	−	13.6476i	−1.04817	−	0.534070i	−0.891236	+	0.453539i	$0.850161\pi$
$654$	2.05727	−	6.33163i	0.0804457	−	0.247586i
$655$	−29.1919	+	18.6532i	−1.14062	+	0.728842i
$656$	−4.28392			−0.167259
$657$	3.34001	−	3.34001i	0.130306	−	0.130306i
$658$	1.33424	−	8.42406i	0.0520141	−	0.328404i
$659$	3.67818	−	5.06258i	0.143281	−	0.197210i	−0.731345	−	0.682008i	$-0.761107\pi$
$659$	3.67818	−	5.06258i	0.143281	−	0.197210i	0.874626	+	0.484798i	$0.161107\pi$
$660$	−0.343572	−	3.51795i	−0.0133735	−	0.136936i
$661$	−2.98346	−	9.18215i	−0.116043	−	0.357144i	0.876120	−	0.482093i	$-0.160123\pi$
$661$	−2.98346	−	9.18215i	−0.116043	−	0.357144i	−0.992163	+	0.124949i	$0.960123\pi$
$662$	−0.574823	+	3.62929i	−0.0223411	+	0.141056i
$663$	5.52797	−	10.8492i	0.214688	−	0.421350i
$664$	0.730862	−	2.24936i	0.0283629	−	0.0872922i
$665$	−2.09015	+	0.204129i	−0.0810523	+	0.00791580i
$666$	−8.77172	−	2.85011i	−0.339897	−	0.110439i
$667$	1.24958	−	0.636692i	0.0483839	−	0.0246528i
$668$	−1.96331	−	12.3958i	−0.0759627	−	0.479610i
$669$	20.1431	+	6.54489i	0.778777	+	0.253040i
$670$	18.8762	−	4.90914i	0.729252	−	0.189657i
$671$	8.95993	−	6.50977i	0.345894	−	0.251307i
$672$	0.634319	+	0.323201i	0.0244694	+	0.0124678i
$673$	−3.45994	−	21.8452i	−0.133371	−	0.842071i	−0.960138	−	0.279526i	$-0.909823\pi$
$673$	−3.45994	−	21.8452i	−0.133371	−	0.842071i	0.826767	−	0.562544i	$-0.190177\pi$
$674$	−17.0460	−	12.3847i	−0.656589	−	0.477040i
$675$	−1.36510	+	4.81004i	−0.0525427	+	0.185139i
$676$	−0.911993			−0.0350767
$677$	−17.3617	+	17.3617i	−0.667265	+	0.667265i	−0.957082	−	0.289817i	$-0.906406\pi$
$677$	−17.3617	+	17.3617i	−0.667265	+	0.667265i	0.289817	+	0.957082i	$0.406406\pi$
$678$	20.8962	+	3.30964i	0.802515	+	0.127106i
$679$	−3.94806	−	1.28280i	−0.151513	−	0.0492294i
$680$	7.06476	−	1.83733i	0.270921	−	0.0704585i
$681$			6.20131i			0.237635i
$682$	−7.33008	−	4.87161i	−0.280683	−	0.186544i
$683$	−1.38179	+	1.38179i	−0.0528729	+	0.0528729i	−0.733049	−	0.680176i	$-0.761903\pi$
$683$	−1.38179	+	1.38179i	−0.0528729	+	0.0528729i	0.680176	+	0.733049i	$0.261903\pi$
$684$	−1.25468	+	0.407670i	−0.0479738	+	0.0155876i
$685$	11.8024	+	27.0429i	0.450945	+	1.03326i
$686$	7.77139	−	5.64624i	0.296713	−	0.215575i
$687$	−11.1452	−	11.1452i	−0.425216	−	0.425216i
$688$	−4.33948	−	4.33948i	−0.165441	−	0.165441i
$689$	27.6498	+	38.0567i	1.05337	+	1.44984i
$690$	−1.95446	+	0.190879i	−0.0744052	+	0.00726662i
$691$	−21.9899	−	15.9766i	−0.836534	−	0.607778i	0.0848662	−	0.996392i	$-0.472954\pi$
$691$	−21.9899	−	15.9766i	−0.836534	−	0.607778i	−0.921400	+	0.388615i	$0.872954\pi$
$692$	2.61150	−	5.12536i	0.0992744	−	0.194837i
$693$	1.11151	+	0.176045i	0.0422226	+	0.00668741i
$694$	7.41340	+	22.8161i	0.281409	+	0.866087i
$695$	−0.518412	+	1.32134i	−0.0196645	+	0.0501212i
$696$	1.29192	+	0.938636i	0.0489702	+	0.0355789i
$697$	−6.34910	−	12.4608i	−0.240489	−	0.471987i
$698$	2.53708	+	4.97931i	0.0960300	+	0.188469i
$699$	−23.1584	−	16.8255i	−0.875930	−	0.636401i
$700$	−1.22654	−	3.34157i	−0.0463589	−	0.126299i
$701$	−2.83415	−	8.72263i	−0.107044	−	0.329449i	0.883160	−	0.469071i	$-0.155411\pi$
$701$	−2.83415	−	8.72263i	−0.107044	−	0.329449i	−0.990205	+	0.139622i	$0.955411\pi$
$702$	−3.68396	−	0.583482i	−0.139042	−	0.0220221i
$703$	−5.52397	+	10.8414i	−0.208341	+	0.408891i
$704$	1.27886	+	0.929146i	0.0481989	+	0.0350185i
$705$	−17.0119	+	20.6944i	−0.640705	+	0.779396i
$706$	14.0444	+	19.3304i	0.528567	+	0.727510i
$707$	6.63311	+	6.63311i	0.249464	+	0.249464i
$708$	5.37514	+	5.37514i	0.202010	+	0.202010i
$709$	−6.33123	+	4.59991i	−0.237774	+	0.172753i	−0.700291	−	0.713857i	$-0.746946\pi$
$709$	−6.33123	+	4.59991i	−0.237774	+	0.172753i	0.462517	+	0.886611i	$0.346946\pi$
$710$	−18.4986	+	8.07335i	−0.694238	+	0.302988i
$711$	5.50824	−	1.78974i	0.206575	−	0.0671204i
$712$	−9.09726	+	9.09726i	−0.340934	+	0.340934i
$713$	−2.70652	+	4.07237i	−0.101360	+	0.152512i
$714$			2.32408i			0.0869764i
$715$	−11.3688	−	6.67589i	−0.425168	−	0.249664i
$716$	−1.88611	−	0.612834i	−0.0704872	−	0.0229027i
$717$	16.0669	+	2.54474i	0.600028	+	0.0950351i
$718$	21.1771	−	21.1771i	0.790323	−	0.790323i
$719$	3.21376			0.119853			0.0599266	−	0.998203i	$-0.480913\pi$
$719$	3.21376			0.119853			0.0599266	+	0.998203i	$0.480913\pi$
$720$	−1.20400	−	1.88424i	−0.0448706	−	0.0702216i
$721$	0.292987	+	0.212867i	0.0109114	+	0.00792759i
$722$	−2.69999	−	17.0471i	−0.100483	−	0.634427i
$723$	−11.6661	−	5.94417i	−0.433867	−	0.221066i
$724$	9.21103	−	6.69220i	0.342325	−	0.248714i
$725$	−1.54485	−	7.83364i	−0.0573742	−	0.290934i
$726$	−8.08513	−	2.62702i	−0.300067	−	0.0974977i
$727$	−1.55749	−	9.83361i	−0.0577642	−	0.364708i	−0.999591	−	0.0286091i	$-0.990892\pi$
$727$	−1.55749	−	9.83361i	−0.0577642	−	0.364708i	0.941827	−	0.336099i	$-0.109108\pi$
$728$	2.36593	−	1.20550i	0.0876872	−	0.0446789i
$729$	−0.951057	−	0.309017i	−0.0352243	−	0.0114451i
$730$	6.70718	−	8.15906i	0.248244	−	0.301980i
$731$	6.19097	−	19.0539i	0.228981	−	0.704732i
$732$	3.18074	−	6.24256i	0.117564	−	0.230732i
$733$	3.43170	−	21.6669i	0.126753	−	0.800285i	−0.839627	−	0.543164i	$-0.817226\pi$
$733$	3.43170	−	21.6669i	0.126753	−	0.800285i	0.966379	−	0.257121i	$-0.0827738\pi$
$734$	−9.78140	−	30.1040i	−0.361038	−	1.11116i
$735$	−14.4504	+	1.41127i	−0.533013	+	0.0520555i
$736$	0.516206	−	0.710496i	0.0190276	−	0.0261892i
$737$	−2.15695	+	13.6184i	−0.0794521	+	0.501641i
$738$	−3.02919	+	3.02919i	−0.111506	+	0.111506i
$739$	30.5697			1.12453			0.562263	−	0.826959i	$-0.309931\pi$
$739$	30.5697			1.12453			0.562263	+	0.826959i	$0.309931\pi$
$740$	−20.1408	−	4.43635i	−0.740389	−	0.163083i
$741$	−1.52056	+	4.67980i	−0.0558591	+	0.171917i
$742$	−7.99992	−	4.07616i	−0.293686	−	0.149641i
$743$	−0.0565685	−	0.0565685i	−0.00207530	−	0.00207530i	0.706068	−	0.708144i	$-0.250467\pi$
$743$	−0.0565685	−	0.0565685i	−0.00207530	−	0.00207530i	−0.708144	+	0.706068i	$0.750467\pi$
$744$	−5.53077	−	0.640737i	−0.202768	−	0.0234906i
$745$	1.22607	−	20.5040i	0.0449198	−	0.751208i
$746$	−10.2248	−	31.4687i	−0.374356	−	1.15215i
$747$	−1.07374	−	2.10734i	−0.0392862	−	0.0771034i
$748$	−0.807275	+	5.09694i	−0.0295169	+	0.186362i
$749$		−	3.51151i		−	0.128308i
$750$	−1.99255	+	11.0014i	−0.0727578	+	0.401713i
$751$	11.2734	−	8.19060i	0.411372	−	0.298879i	−0.362785	−	0.931873i	$-0.618174\pi$
$751$	11.2734	−	8.19060i	0.411372	−	0.298879i	0.774157	+	0.632994i	$0.218174\pi$
$752$	−1.87416	−	11.8330i	−0.0683437	−	0.431505i
$753$	−16.2221	+	2.56933i	−0.591166	+	0.0936314i
$754$	5.66474	−	1.84058i	0.206298	−	0.0670301i
$755$	2.49684	+	3.90750i	0.0908692	+	0.142209i
$756$	0.677069	−	0.219993i	0.0246248	−	0.00800107i
$757$	10.4352	+	20.4803i	0.379276	+	0.744370i	0.999188	−	0.0403011i	$-0.0128317\pi$
$757$	10.4352	+	20.4803i	0.379276	+	0.744370i	−0.619912	+	0.784671i	$0.712832\pi$
$758$	−19.3099	+	3.05839i	−0.701367	+	0.111086i
$759$	0.428995	−	1.32031i	0.0155715	−	0.0479242i
$760$	−2.70366	+	1.17996i	−0.0980719	+	0.0428017i
$761$	20.3187	−	27.9663i	0.736553	−	1.01378i	−0.262257	−	0.964998i	$-0.584467\pi$
$761$	20.3187	−	27.9663i	0.736553	−	1.01378i	0.998810	−	0.0487800i	$-0.0155333\pi$
$762$	10.8301	−	5.51819i	0.392332	−	0.199903i
$763$	4.22296	+	2.15170i	0.152881	+	0.0778969i
$764$	−1.84235	−	2.53578i	−0.0666538	−	0.0917411i
$765$	3.69635	−	6.29473i	0.133642	−	0.227586i
$766$	1.42504	−	1.96140i	0.0514888	−	0.0708683i
$767$	28.0040	−	4.43539i	1.01116	−	0.160153i
$768$	0.987688	+	0.156434i	0.0356401	+	0.00564484i
$769$		−	27.2887i		−	0.984056i	−0.870579	−	0.492028i	$-0.836256\pi$
$769$		−	27.2887i		−	0.984056i	0.870579	−	0.492028i	$-0.163744\pi$
$770$	2.51190	+	0.150203i	0.0905225	+	0.00541294i
$771$	7.26904	+	10.0050i	0.261788	+	0.360320i
$772$	−5.36491	+	2.73356i	−0.193087	+	0.0983829i
$773$	9.80146	−	19.2364i	0.352534	−	0.691887i	−0.644839	−	0.764318i	$-0.723076\pi$
$773$	9.80146	−	19.2364i	0.352534	−	0.691887i	0.997373	+	0.0724311i	$0.0230757\pi$
$774$	−6.13695			−0.220588
$775$	18.0975	+	21.1537i	0.650081	+	0.759865i
$776$	−5.83111			−0.209325
$777$	2.98093	−	5.85041i	0.106940	−	0.209882i
$778$	0.967278	−	0.492853i	0.0346786	−	0.0176696i
$779$	3.32190	+	4.57220i	0.119019	+	0.163816i
$780$	−8.32539	−	0.497831i	−0.298097	−	0.0178252i
$781$		−	14.2685i		−	0.510567i
$782$	2.83170	+	0.448498i	0.101262	+	0.0160383i
$783$	1.57724	−	0.249811i	0.0563661	−	0.00892751i
$784$	3.81660	−	5.25309i	0.136307	−	0.187610i
$785$	2.63209	−	4.48234i	0.0939434	−	0.159982i
$786$	−9.10636	−	12.5338i	−0.324813	−	0.447067i
$787$	39.3694	+	20.0597i	1.40337	+	0.715051i	0.981474	−	0.191595i	$-0.0613660\pi$
$787$	39.3694	+	20.0597i	1.40337	+	0.715051i	0.421892	+	0.906646i	$0.361366\pi$
$788$	10.0335	−	5.11232i	0.357428	−	0.182119i
$789$	−9.97670	+	13.7318i	−0.355180	+	0.488863i
$790$	11.8695	−	5.18022i	0.422298	−	0.184304i
$791$	−4.65433	+	14.3246i	−0.165489	+	0.509322i
$792$	1.56130	−	0.247285i	0.0554782	−	0.00878689i
$793$	−11.8638	−	23.2840i	−0.421295	−	0.826838i
$794$	11.9170	−	3.87206i	0.422918	−	0.137414i
$795$	15.1847	+	23.7638i	0.538546	+	0.842814i
$796$	0.505194	−	0.164147i	0.0179061	−	0.00581805i
$797$	−5.72517	+	0.906777i	−0.202796	+	0.0321197i	−0.257006	−	0.966410i	$-0.582736\pi$
$797$	−5.72517	+	0.906777i	−0.202796	+	0.0321197i	0.0542100	+	0.998530i	$0.482736\pi$
$798$	−0.146921	−	0.927626i	−0.00520096	−	0.0328376i
$799$	31.6415	−	22.9889i	1.11939	−	0.813288i
$800$	−3.08902	−	3.93166i	−0.109213	−	0.139005i
$801$			12.8655i			0.454579i
$802$	0.202625	−	1.27932i	0.00715493	−	0.0451744i
$803$	3.38980	+	6.65286i	0.119624	+	0.234774i
$804$	2.69540	+	8.29560i	0.0950596	+	0.292563i
$805$	0.0834483	−	1.39553i	0.00294117	−	0.0491861i
$806$	−14.0589	+	15.2846i	−0.495205	+	0.538376i
$807$	10.6394	+	10.6394i	0.374526	+	0.374526i
$808$	11.7405	+	5.98208i	0.413029	+	0.210449i
$809$	−9.62140	+	29.6116i	−0.338271	+	1.04109i	0.626818	+	0.779166i	$0.284357\pi$
$809$	−9.62140	+	29.6116i	−0.338271	+	1.04109i	−0.965089	+	0.261924i	$0.915643\pi$
$810$	−2.18372	−	0.481002i	−0.0767281	−	0.0169007i
$811$	−22.9211			−0.804869			−0.402435	−	0.915449i	$-0.631836\pi$
$811$	−22.9211			−0.804869			−0.402435	+	0.915449i	$0.631836\pi$
$812$	−0.803878	+	0.803878i	−0.0282106	+	0.0282106i
$813$	−4.07411	+	25.7229i	−0.142885	+	0.902143i
$814$	8.56964	−	11.7951i	0.300366	−	0.413418i
$815$	−6.12982	+	0.598655i	−0.214718	+	0.0209700i
$816$	1.00880	+	3.10478i	0.0353152	+	0.108689i
$817$	−1.26652	+	7.99648i	−0.0443099	+	0.279761i
$818$	1.34374	−	2.63723i	0.0469827	−	0.0922087i
$819$	0.820547	−	2.52538i	0.0286722	−	0.0882441i
$820$	−6.08302	+	7.39979i	−0.212428	+	0.258412i
$821$	−26.1051	−	8.48207i	−0.911075	−	0.296026i	−0.184274	−	0.982875i	$-0.558993\pi$
$821$	−26.1051	−	8.48207i	−0.911075	−	0.296026i	−0.726800	+	0.686849i	$0.758993\pi$
$822$	−11.7573	+	5.99066i	−0.410084	+	0.208948i
$823$	−2.93775	−	18.5482i	−0.102404	−	0.646550i	−0.984487	−	0.175457i	$-0.943860\pi$
$823$	−2.93775	−	18.5482i	−0.102404	−	0.646550i	0.882083	−	0.471093i	$-0.156140\pi$
$824$	0.483804	+	0.157198i	0.0168541	+	0.00547624i
$825$	−6.56455	−	4.40189i	−0.228548	−	0.153254i
$826$	−4.37813	+	3.18090i	−0.152335	+	0.110678i
$827$	45.3781	+	23.1213i	1.57795	+	0.804007i	0.999928	−	0.0120121i	$-0.00382366\pi$
$827$	45.3781	+	23.1213i	1.57795	+	0.804007i	0.578025	+	0.816019i	$0.303824\pi$
$828$	−0.137384	−	0.867409i	−0.00477443	−	0.0301446i
$829$	39.2118	+	28.4891i	1.36188	+	0.989466i	0.998323	+	0.0578961i	$0.0184392\pi$
$829$	39.2118	+	28.4891i	1.36188	+	0.989466i	0.363561	+	0.931570i	$0.381561\pi$
$830$	−2.84761	−	4.45646i	−0.0988421	−	0.154686i
$831$	18.2113			0.631741
$832$	2.63742	−	2.63742i	0.0914362	−	0.0914362i
$833$	20.9364	+	3.31599i	0.725402	+	0.114892i
$834$	−0.603705	−	0.196156i	−0.0209046	−	0.00679231i
$835$	−24.1997	−	14.2104i	−0.837464	−	0.491770i
$836$		−	2.08541i		−	0.0721254i
$837$	−4.36392	+	3.45778i	−0.150839	+	0.119518i
$838$	2.05469	−	2.05469i	0.0709780	−	0.0709780i
$839$	−4.11872	+	1.33825i	−0.142194	+	0.0462017i	−0.379249	−	0.925294i	$-0.623818\pi$
$839$	−4.11872	+	1.33825i	−0.142194	+	0.0462017i	0.237055	+	0.971496i	$0.423818\pi$
$840$	1.45899	−	0.636749i	0.0503399	−	0.0219699i
$841$	21.3984	−	15.5469i	0.737876	−	0.536099i
$842$	−3.04030	−	3.04030i	−0.104776	−	0.104776i
$843$	13.6621	+	13.6621i	0.470549	+	0.470549i
$844$	−1.47237	−	2.02655i	−0.0506811	−	0.0697566i
$845$	−1.29500	+	1.57532i	−0.0445493	+	0.0541927i
$846$	−9.69243	−	7.04196i	−0.333233	−	0.242108i
$847$	2.74760	−	5.39247i	0.0944087	−	0.185288i
$848$	−12.4566	−	1.97293i	−0.427760	−	0.0677506i
$849$	0.855988	+	2.63446i	0.0293774	+	0.0904145i
$850$	6.85801	−	14.8122i	0.235228	−	0.508053i
$851$	−6.55300	−	4.76104i	−0.224634	−	0.163206i
$852$	−4.09788	−	8.04254i	−0.140391	−	0.275533i
$853$	−5.14153	−	10.0908i	−0.176043	−	0.345503i	0.786078	−	0.618127i	$-0.212108\pi$
$853$	−5.14153	−	10.0908i	−0.176043	−	0.345503i	−0.962121	+	0.272624i	$0.912108\pi$
$854$	4.03521	+	2.93175i	0.138082	+	0.100322i
$855$	−1.07742	+	2.74613i	−0.0368468	+	0.0939158i
$856$	−1.52423	−	4.69109i	−0.0520970	−	0.160338i
$857$	44.3128	+	7.01845i	1.51370	+	0.239746i	0.857358	−	0.514721i	$-0.172105\pi$
$857$	44.3128	+	7.01845i	1.51370	+	0.239746i	0.656338	+	0.754467i	$0.272105\pi$
$858$	2.67674	−	5.25341i	0.0913825	−	0.179348i
$859$	14.1116	+	10.2527i	0.481482	+	0.349817i	0.801899	−	0.597459i	$-0.203823\pi$
$859$	14.1116	+	10.2527i	0.481482	+	0.349817i	−0.320417	+	0.947277i	$0.603823\pi$
$860$	−13.6577	+	1.33385i	−0.465723	+	0.0454838i
$861$	−1.79261	−	2.46732i	−0.0610921	−	0.0840861i
$862$	2.54732	+	2.54732i	0.0867620	+	0.0867620i
$863$	−20.2493	−	20.2493i	−0.689295	−	0.689295i	0.272781	−	0.962076i	$-0.412056\pi$
$863$	−20.2493	−	20.2493i	−0.689295	−	0.689295i	−0.962076	+	0.272781i	$0.912056\pi$
$864$	0.809017	−	0.587785i	0.0275233	−	0.0199969i
$865$	−5.14500	−	11.7888i	−0.174935	−	0.400831i
$866$	5.96867	−	1.93934i	0.202824	−	0.0659014i
$867$	4.48496	−	4.48496i	0.152317	−	0.152317i
$868$	1.06648	−	3.81759i	0.0361988	−	0.129578i
$869$			9.15529i			0.310572i
$870$	3.45583	−	0.898757i	0.117164	−	0.0304707i
$871$	30.9416	+	10.0535i	1.04842	+	0.340651i
$872$	6.57551	+	1.04146i	0.222675	+	0.0352682i
$873$	−4.12321	+	4.12321i	−0.139550	+	0.139550i
$874$	−1.15859			−0.0391899
$875$	−7.51367	−	2.62625i	−0.254008	−	0.0887836i
$876$	3.82138	+	2.77639i	0.129112	+	0.0938056i
$877$	−7.91813	−	49.9931i	−0.267376	−	1.68815i	−0.646590	−	0.762838i	$-0.723805\pi$
$877$	−7.91813	−	49.9931i	−0.267376	−	1.68815i	0.379213	−	0.925309i	$-0.376195\pi$
$878$	20.9503	+	10.6747i	0.707038	+	0.360254i
$879$	4.89197	−	3.55423i	0.165002	−	0.119881i
$880$	3.42089	−	0.889670i	0.115318	−	0.0299908i
$881$	−11.6085	−	3.77182i	−0.391099	−	0.127076i	0.106865	−	0.994274i	$-0.465919\pi$
$881$	−11.6085	−	3.77182i	−0.391099	−	0.127076i	−0.497964	+	0.867198i	$0.665919\pi$
$882$	−1.01576	−	6.41324i	−0.0342023	−	0.215945i
$883$	−24.3832	+	12.4239i	−0.820561	+	0.418097i	−0.813277	−	0.581877i	$-0.802319\pi$
$883$	−24.3832	+	12.4239i	−0.820561	+	0.418097i	−0.00728410	+	0.999973i	$0.502319\pi$
$884$	11.5804	+	3.76271i	0.389492	+	0.126554i
$885$	16.9172	−	1.65218i	0.568665	−	0.0555375i
$886$	−3.19682	+	9.83880i	−0.107399	+	0.330541i
$887$	15.1161	−	29.6671i	0.507550	−	0.996123i	−0.485026	−	0.874500i	$-0.661190\pi$
$887$	15.1161	−	29.6671i	0.507550	−	0.996123i	0.992576	−	0.121623i	$-0.0388100\pi$
$888$	1.44282	−	9.10958i	0.0484177	−	0.305698i
$889$	2.67399	+	8.22968i	0.0896826	+	0.276015i
$890$	2.79627	+	28.6319i	0.0937311	+	0.959742i
$891$	0.929146	−	1.27886i	0.0311276	−	0.0428434i
$892$	−3.31324	+	20.9190i	−0.110935	+	0.700418i
$893$	−11.1760	+	11.1760i	−0.373991	+	0.373991i
$894$	9.18605			0.307227
$895$	−3.73678	+	2.38775i	−0.124907	+	0.0798136i
$896$	−0.219993	+	0.677069i	−0.00734945	+	0.0226193i
$897$	−2.91863	−	1.48712i	−0.0974504	−	0.0496534i
$898$	−23.6218	−	23.6218i	−0.788270	−	0.788270i
$899$	3.70239	−	8.08365i	0.123482	−	0.269605i
$900$	−4.96437	−	0.595836i	−0.165479	−	0.0198612i
$901$	−12.7229	−	39.1569i	−0.423860	−	1.30451i
$902$	−3.07435	−	6.03376i	−0.102365	−	0.200902i
$903$	0.683458	−	4.31518i	0.0227441	−	0.143600i
$904$			21.1567i			0.703662i
$905$	1.51963	−	25.4133i	0.0505142	−	0.844765i
$906$	−1.67772	+	1.21894i	−0.0557386	+	0.0404964i
$907$	−9.21386	−	58.1740i	−0.305941	−	1.93164i	−0.359669	−	0.933080i	$-0.617110\pi$
$907$	−9.21386	−	58.1740i	−0.305941	−	1.93164i	0.0537277	−	0.998556i	$-0.482890\pi$
$908$	−6.12496	+	0.970099i	−0.203264	+	0.0321939i
$909$	12.5318	−	4.07182i	0.415652	−	0.135054i
$910$	1.27723	−	5.79854i	0.0423397	−	0.192220i
$911$	46.2036	−	15.0125i	1.53080	−	0.497385i	0.581976	−	0.813206i	$-0.302280\pi$
$911$	46.2036	−	15.0125i	1.53080	−	0.497385i	0.948819	+	0.315820i	$0.102280\pi$
$912$	−0.598926	−	1.17546i	−0.0198324	−	0.0389233i
$913$	3.69265	−	0.584859i	0.122209	−	0.0193560i
$914$	8.52383	−	26.2337i	0.281943	−	0.867733i
$915$	−6.26647	−	14.3584i	−0.207163	−	0.474675i
$916$	9.26450	−	12.7515i	0.306108	−	0.421321i
$917$	9.82728	−	5.00725i	0.324525	−	0.165354i
$918$	2.90874	+	1.48208i	0.0960027	+	0.0489158i
$919$	27.1340	+	37.3467i	0.895067	+	1.23195i	0.972015	+	0.234919i	$0.0754823\pi$
$919$	27.1340	+	37.3467i	0.895067	+	1.23195i	−0.0769483	+	0.997035i	$0.524518\pi$
$920$	−0.494274	−	1.90054i	−0.0162957	−	0.0626590i
$921$	−8.23232	+	11.3308i	−0.271264	+	0.373363i
$922$	14.5841	−	2.30989i	0.480302	−	0.0760723i
$923$	−33.2527	−	5.26671i	−1.09453	−	0.173356i
$924$			1.12536i			0.0370217i
$925$	−36.2622	+	28.4905i	−1.19229	+	0.936760i
$926$	−6.96532	−	9.58694i	−0.228895	−	0.315047i
$927$	0.453257	−	0.230946i	0.0148869	−	0.00758526i
$928$	−0.724979	+	1.42285i	−0.0237986	+	0.0467074i
$929$	26.8151			0.879775			0.439888	−	0.898053i	$-0.355018\pi$
$929$	26.8151			0.879775			0.439888	+	0.898053i	$0.355018\pi$
$930$	−8.96027	+	8.64370i	−0.293819	+	0.283438i
$931$	−8.56611			−0.280743
$932$	12.9956	−	25.5054i	0.425686	−	0.835456i
$933$	−10.6705	+	5.43688i	−0.349336	+	0.177996i
$934$	23.6754	+	32.5864i	0.774684	+	1.06626i
$935$	7.65783	+	8.63191i	0.250438	+	0.282294i
$936$		−	3.72988i		−	0.121915i
$937$	49.7705	+	7.88287i	1.62593	+	0.257522i	0.901804	−	0.432145i	$-0.142243\pi$
$937$	49.7705	+	7.88287i	1.62593	+	0.257522i	0.724126	+	0.689667i	$0.242243\pi$
$938$	−6.13321	+	0.971405i	−0.200256	+	0.0317175i
$939$	5.94788	−	8.18656i	0.194102	−	0.267158i
$940$	−23.1009	−	13.5651i	−0.753467	−	0.442446i
$941$	10.3542	+	14.2513i	0.337538	+	0.464581i	0.943720	−	0.330745i	$-0.107300\pi$
$941$	10.3542	+	14.2513i	0.337538	+	0.464581i	−0.606183	+	0.795326i	$0.707300\pi$
$942$	2.07125	+	1.05536i	0.0674850	+	0.0343853i
$943$	−3.35217	+	1.70802i	−0.109162	+	0.0556207i
$944$	−4.46811	+	6.14982i	−0.145424	+	0.200160i
$945$	0.581411	−	1.48191i	0.0189133	−	0.0482065i
$946$	2.99779	−	9.22623i	0.0974664	−	0.299971i
$947$	23.0353	−	3.64843i	0.748546	−	0.118558i	0.229505	−	0.973307i	$-0.426289\pi$
$947$	23.0353	−	3.64843i	0.748546	−	0.118558i	0.519041	+	0.854749i	$0.326289\pi$
$948$	2.62938	+	5.16045i	0.0853983	+	0.167604i
$949$	16.7557	−	5.44427i	0.543914	−	0.176728i
$950$	−1.80090	+	6.34564i	−0.0584290	+	0.205880i
$951$	11.7171	−	3.80712i	0.379953	−	0.123454i
$952$	−2.29546	+	0.363566i	−0.0743964	+	0.0117832i
$953$	−5.92759	−	37.4253i	−0.192014	−	1.21233i	−0.875811	−	0.482654i	$-0.839673\pi$
$953$	−5.92759	−	37.4253i	−0.192014	−	1.21233i	0.683797	−	0.729672i	$-0.260327\pi$
$954$	−10.2032	+	7.41305i	−0.330340	+	0.240006i
$955$	−6.99621	−	0.418350i	−0.226392	−	0.0135375i
$956$			16.2671i			0.526117i
$957$	−0.394890	+	2.49324i	−0.0127650	+	0.0805950i
$958$	2.56006	+	5.02441i	0.0827119	+	0.162331i
$959$	−2.90293	−	8.93430i	−0.0937405	−	0.288504i
$960$	1.67270	−	1.48394i	0.0539861	−	0.0478940i
$961$	2.58514	+	30.8920i	0.0833916	+	0.996517i
$962$	−24.3253	−	24.3253i	−0.784279	−	0.784279i
$963$	−4.39489	−	2.23931i	−0.141623	−	0.0721608i
$964$	4.04601	−	12.4523i	0.130313	−	0.401063i
$965$	−2.89620	+	13.1486i	−0.0932320	+	0.423267i
$966$	0.625217			0.0201160
$967$	22.4649	−	22.4649i	0.722424	−	0.722424i	−0.246675	−	0.969098i	$-0.579338\pi$
$967$	22.4649	−	22.4649i	0.722424	−	0.722424i	0.969098	+	0.246675i	$0.0793379\pi$
$968$	1.32988	−	8.39654i	0.0427440	−	0.269875i
$969$	2.53145	−	3.48424i	0.0813218	−	0.111930i
$970$	−8.27996	+	10.0723i	−0.265854	+	0.323402i
$971$	12.2751	+	37.7790i	0.393928	+	1.21239i	0.929793	+	0.368083i	$0.119986\pi$
$971$	12.2751	+	37.7790i	0.393928	+	1.21239i	−0.535865	+	0.844304i	$0.680014\pi$
$972$	0.156434	−	0.987688i	0.00501764	−	0.0316801i
$973$	0.205159	−	0.402648i	0.00657711	−	0.0129083i
$974$	10.7938	−	33.2200i	0.345856	−	1.06444i
$975$	−12.6817	+	13.6739i	−0.406139	+	0.437914i
$976$	6.66328	+	2.16503i	0.213286	+	0.0693009i
$977$	−31.0587	+	15.8252i	−0.993657	+	0.506293i	−0.873689	−	0.486484i	$-0.838279\pi$
$977$	−31.0587	+	15.8252i	−0.993657	+	0.506293i	−0.119967	+	0.992778i	$0.538279\pi$
$978$	−0.430880	−	2.72047i	−0.0137780	−	0.0869910i
$979$	−19.3418	−	6.28454i	−0.618167	−	0.200855i
$980$	−3.65444	−	14.0518i	−0.116737	−	0.448867i
$981$	5.38601	−	3.91316i	0.171962	−	0.124938i
$982$	28.8341	+	14.6917i	0.920132	+	0.468831i
$983$	6.03912	+	38.1295i	0.192618	+	1.21614i	0.874626	+	0.484797i	$0.161107\pi$
$983$	6.03912	+	38.1295i	0.192618	+	1.21614i	−0.682009	+	0.731344i	$0.738893\pi$
$984$	−3.46577	−	2.51803i	−0.110485	−	0.0802717i
$985$	5.41649	−	24.5905i	0.172584	−	0.783520i
$986$	−5.21318			−0.166021
$987$	6.03096	−	6.03096i	0.191968	−	0.191968i
$988$	−4.86005	−	0.769756i	−0.154619	−	0.0244892i
$989$	−5.12582	−	1.66548i	−0.162992	−	0.0529592i
$990$	1.78984	−	3.04802i	0.0568849	−	0.0968726i
$991$		−	14.3446i		−	0.455672i	−0.973699	−	0.227836i	$-0.926835\pi$
$991$		−	14.3446i		−	0.455672i	0.973699	−	0.227836i	$-0.0731651\pi$
$992$	−0.232355	−	5.56291i	−0.00737727	−	0.176623i
$993$	−2.59829	+	2.59829i	−0.0824541	+	0.0824541i
$994$	6.11147	−	1.98574i	0.193844	−	0.0629837i
$995$	0.433819	−	1.10573i	0.0137530	−	0.0350538i
$996$	1.91342	−	1.39018i	0.0606291	−	0.0440496i
$997$	0.971027	+	0.971027i	0.0307527	+	0.0307527i	0.722316	−	0.691563i	$-0.243078\pi$
$997$	0.971027	+	0.971027i	0.0307527	+	0.0307527i	−0.691563	+	0.722316i	$0.743078\pi$
$998$	−26.1452	−	26.1452i	−0.827612	−	0.827612i
$999$	−5.42122	−	7.46167i	−0.171520	−	0.236077i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bj.a.337.1	✓	128
5.3	odd	4		930.2.bj.b.523.9	yes	128
31.23	odd	10		930.2.bj.b.457.9	yes	128
155.23	even	20	inner	930.2.bj.a.643.1	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bj.a.337.1	✓	128	1.1	even	1	trivial
930.2.bj.a.643.1	yes	128	155.23	even	20	inner
930.2.bj.b.457.9	yes	128	31.23	odd	10
930.2.bj.b.523.9	yes	128	5.3	odd	4

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:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.453990 + 0.891007i) q^{2} +(-0.891007 + 0.453990i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-2.23208 - 0.133471i) q^{5} -1.00000i q^{6} +(0.703148 + 0.111368i) q^{7} +(0.987688 - 0.156434i) q^{8} +(0.587785 - 0.809017i) q^{9} +O(q^{10})\)	\(q+(-0.453990 + 0.891007i) q^{2} +(-0.891007 + 0.453990i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-2.23208 - 0.133471i) q^{5} -1.00000i q^{6} +(0.703148 + 0.111368i) q^{7} +(0.987688 - 0.156434i) q^{8} +(0.587785 - 0.809017i) q^{9} +(1.13227 - 1.92820i) q^{10} +(0.929146 + 1.27886i) q^{11} +(0.891007 + 0.453990i) q^{12} +(3.32335 - 1.69333i) q^{13} +(-0.418452 + 0.575949i) q^{14} +(2.04939 - 0.894420i) q^{15} +(-0.309017 + 0.951057i) q^{16} +(-3.22436 + 0.510689i) q^{17} +(0.453990 + 0.891007i) q^{18} +(1.25468 - 0.407670i) q^{19} +(1.20400 + 1.88424i) q^{20} +(-0.677069 + 0.219993i) q^{21} +(-1.56130 + 0.247285i) q^{22} +(0.137384 + 0.867409i) q^{23} +(-0.809017 + 0.587785i) q^{24} +(4.96437 + 0.595836i) q^{25} +3.72988i q^{26} +(-0.156434 + 0.987688i) q^{27} +(-0.323201 - 0.634319i) q^{28} +(-0.493470 - 1.51875i) q^{29} +(-0.133471 + 2.23208i) q^{30} +(4.09787 + 3.76927i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(-1.40847 - 0.717649i) q^{33} +(1.00880 - 3.10478i) q^{34} +(-1.55462 - 0.342431i) q^{35} -1.00000 q^{36} +(-6.52174 + 6.52174i) q^{37} +(-0.206376 + 1.30301i) q^{38} +(-2.19237 + 3.01754i) q^{39} +(-2.22548 + 0.217347i) q^{40} +(1.32380 + 4.07425i) q^{41} +(0.111368 - 0.703148i) q^{42} +(-2.78612 + 5.46807i) q^{43} +(0.488481 - 1.50339i) q^{44} +(-1.41996 + 1.72734i) q^{45} +(-0.835239 - 0.271385i) q^{46} +(-10.6747 + 5.43904i) q^{47} +(-0.156434 - 0.987688i) q^{48} +(-6.17538 - 2.00650i) q^{49} +(-2.78467 + 4.15278i) q^{50} +(2.64108 - 1.91886i) q^{51} +(-3.32335 - 1.69333i) q^{52} +(1.97293 + 12.4566i) q^{53} +(-0.809017 - 0.587785i) q^{54} +(-1.90324 - 2.97853i) q^{55} +0.711912 q^{56} +(-0.932849 + 0.932849i) q^{57} +(1.57724 + 0.249811i) q^{58} +(7.22955 + 2.34902i) q^{59} +(-1.92820 - 1.13227i) q^{60} -7.00618i q^{61} +(-5.21884 + 1.94002i) q^{62} +(0.503398 - 0.503398i) q^{63} +(0.951057 - 0.309017i) q^{64} +(-7.64399 + 3.33608i) q^{65} +(1.27886 - 0.929146i) q^{66} +(6.16775 + 6.16775i) q^{67} +(2.30839 + 2.30839i) q^{68} +(-0.516206 - 0.710496i) q^{69} +(1.01089 - 1.22971i) q^{70} +(-7.30248 - 5.30556i) q^{71} +(0.453990 - 0.891007i) q^{72} +(4.66533 + 0.738915i) q^{73} +(-2.85011 - 8.77172i) q^{74} +(-4.69379 + 1.72288i) q^{75} +(-1.06729 - 0.775434i) q^{76} +(0.510903 + 1.00270i) q^{77} +(-1.69333 - 3.32335i) q^{78} +(4.68559 + 3.40428i) q^{79} +(0.816689 - 2.08159i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(-4.23118 - 0.670153i) q^{82} +(1.07374 - 2.10734i) q^{83} +(0.575949 + 0.418452i) q^{84} +(7.26520 - 0.709540i) q^{85} +(-3.60721 - 4.96490i) q^{86} +(1.12918 + 1.12918i) q^{87} +(1.11776 + 1.11776i) q^{88} +(-10.4084 + 7.56214i) q^{89} +(-0.894420 - 2.04939i) q^{90} +(2.52538 - 0.820547i) q^{91} +(0.620997 - 0.620997i) q^{92} +(-5.36245 - 1.49805i) q^{93} -11.9805i q^{94} +(-2.85496 + 0.742489i) q^{95} +(0.951057 + 0.309017i) q^{96} +(-5.75932 - 0.912186i) q^{97} +(4.59137 - 4.59137i) q^{98} +1.58076 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q - 16 q^{7}+O(q^{10}) \) 128 * q - 16 * q^7	\( 128 q - 16 q^{7} - 4 q^{10} + 4 q^{15} + 32 q^{16} - 12 q^{17} - 40 q^{19} + 40 q^{21} + 16 q^{22} - 32 q^{24} - 8 q^{25} - 4 q^{28} + 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} + 64 q^{37} - 16 q^{38} - 24 q^{41} + 4 q^{42} + 24 q^{43} - 8 q^{44} + 20 q^{46} + 108 q^{47} - 100 q^{49} - 24 q^{50} + 16 q^{53} - 32 q^{54} + 12 q^{55} + 16 q^{57} - 40 q^{58} - 16 q^{62} - 4 q^{63} + 36 q^{65} - 12 q^{66} - 32 q^{67} + 8 q^{68} - 32 q^{70} + 24 q^{71} + 60 q^{73} - 16 q^{74} + 24 q^{75} - 24 q^{76} - 20 q^{77} - 56 q^{79} + 32 q^{81} - 16 q^{82} - 8 q^{83} - 132 q^{85} - 20 q^{87} - 4 q^{88} + 136 q^{89} - 40 q^{91} - 64 q^{93} + 108 q^{95} + 64 q^{97} - 16 q^{98} - 8 q^{99}+O(q^{100}) \) 128 * q - 16 * q^7 - 4 * q^10 + 4 * q^15 + 32 * q^16 - 12 * q^17 - 40 * q^19 + 40 * q^21 + 16 * q^22 - 32 * q^24 - 8 * q^25 - 4 * q^28 + 8 * q^29 + 20 * q^31 + 4 * q^33 + 24 * q^35 - 128 * q^36 + 64 * q^37 - 16 * q^38 - 24 * q^41 + 4 * q^42 + 24 * q^43 - 8 * q^44 + 20 * q^46 + 108 * q^47 - 100 * q^49 - 24 * q^50 + 16 * q^53 - 32 * q^54 + 12 * q^55 + 16 * q^57 - 40 * q^58 - 16 * q^62 - 4 * q^63 + 36 * q^65 - 12 * q^66 - 32 * q^67 + 8 * q^68 - 32 * q^70 + 24 * q^71 + 60 * q^73 - 16 * q^74 + 24 * q^75 - 24 * q^76 - 20 * q^77 - 56 * q^79 + 32 * q^81 - 16 * q^82 - 8 * q^83 - 132 * q^85 - 20 * q^87 - 4 * q^88 + 136 * q^89 - 40 * q^91 - 64 * q^93 + 108 * q^95 + 64 * q^97 - 16 * q^98 - 8 * q^99

Introduction

L-functions

Modular forms

Varieties

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Database

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