LMFDB - Embedded newform 930.2.bj.a.337.4

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			337.4
Character	$\chi$	$=$	930.337
Dual form			930.2.bj.a.643.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.453990 + 0.891007i) q^{2} +(-0.891007 + 0.453990i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-0.789819 - 2.09193i) q^{5} -1.00000i q^{6} +(-4.01115 - 0.635304i) q^{7} +(0.987688 - 0.156434i) q^{8} +(0.587785 - 0.809017i) q^{9} +O(q^{10})$	\(q+(-0.453990 + 0.891007i) q^{2} +(-0.891007 + 0.453990i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-0.789819 - 2.09193i) q^{5} -1.00000i q^{6} +(-4.01115 - 0.635304i) q^{7} +(0.987688 - 0.156434i) q^{8} +(0.587785 - 0.809017i) q^{9} +(2.22250 + 0.245984i) q^{10} +(-0.883534 - 1.21608i) q^{11} +(0.891007 + 0.453990i) q^{12} +(-4.09483 + 2.08642i) q^{13} +(2.38709 - 3.28554i) q^{14} +(1.65345 + 1.50536i) q^{15} +(-0.309017 + 0.951057i) q^{16} +(-0.206842 + 0.0327605i) q^{17} +(0.453990 + 0.891007i) q^{18} +(6.35774 - 2.06576i) q^{19} +(-1.22817 + 1.86858i) q^{20} +(3.86239 - 1.25497i) q^{21} +(1.48465 - 0.235146i) q^{22} +(0.736192 + 4.64813i) q^{23} +(-0.809017 + 0.587785i) q^{24} +(-3.75237 + 3.30450i) q^{25} -4.59573i q^{26} +(-0.156434 + 0.987688i) q^{27} +(1.84373 + 3.61851i) q^{28} +(1.22618 + 3.77379i) q^{29} +(-2.09193 + 0.789819i) q^{30} +(5.17256 + 2.06025i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(1.33932 + 0.682419i) q^{33} +(0.0647144 - 0.199170i) q^{34} +(1.83907 + 8.89284i) q^{35} -1.00000 q^{36} +(0.473704 - 0.473704i) q^{37} +(-1.04575 + 6.60263i) q^{38} +(2.70130 - 3.71803i) q^{39} +(-1.10735 - 1.94262i) q^{40} +(2.38149 + 7.32948i) q^{41} +(-0.635304 + 4.01115i) q^{42} +(5.57248 - 10.9366i) q^{43} +(-0.464501 + 1.42959i) q^{44} +(-2.15665 - 0.590631i) q^{45} +(-4.47574 - 1.45426i) q^{46} +(6.23601 - 3.17740i) q^{47} +(-0.156434 - 0.987688i) q^{48} +(9.02835 + 2.93349i) q^{49} +(-1.24079 - 4.84360i) q^{50} +(0.169425 - 0.123094i) q^{51} +(4.09483 + 2.08642i) q^{52} +(1.76299 + 11.1311i) q^{53} +(-0.809017 - 0.587785i) q^{54} +(-1.84613 + 2.80878i) q^{55} -4.06115 q^{56} +(-4.72696 + 4.72696i) q^{57} +(-3.91914 - 0.620731i) q^{58} +(-8.64323 - 2.80836i) q^{59} +(0.245984 - 2.22250i) q^{60} +8.30581i q^{61} +(-4.18399 + 3.67345i) q^{62} +(-2.87167 + 2.87167i) q^{63} +(0.951057 - 0.309017i) q^{64} +(7.59882 + 6.91822i) q^{65} +(-1.21608 + 0.883534i) q^{66} +(-7.87021 - 7.87021i) q^{67} +(0.148082 + 0.148082i) q^{68} +(-2.76616 - 3.80729i) q^{69} +(-8.75850 - 2.39864i) q^{70} +(8.24249 + 5.98852i) q^{71} +(0.453990 - 0.891007i) q^{72} +(9.94190 + 1.57464i) q^{73} +(0.207016 + 0.637131i) q^{74} +(1.84318 - 4.64787i) q^{75} +(-5.40822 - 3.92930i) q^{76} +(2.77141 + 5.43920i) q^{77} +(2.08642 + 4.09483i) q^{78} +(-11.6294 - 8.44928i) q^{79} +(2.23361 - 0.104719i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(-7.61179 - 1.20559i) q^{82} +(-5.07493 + 9.96010i) q^{83} +(-3.28554 - 2.38709i) q^{84} +(0.231901 + 0.406825i) q^{85} +(7.21474 + 9.93023i) q^{86} +(-2.80579 - 2.80579i) q^{87} +(-1.06289 - 1.06289i) q^{88} +(-1.48334 + 1.07771i) q^{89} +(1.50536 - 1.65345i) q^{90} +(17.7505 - 5.76749i) q^{91} +(3.32769 - 3.32769i) q^{92} +(-5.54412 + 0.512598i) q^{93} +6.99883i q^{94} +(-9.34289 - 11.6684i) q^{95} +(0.951057 + 0.309017i) q^{96} +(-16.9320 - 2.68177i) q^{97} +(-6.71254 + 6.71254i) q^{98} -1.50316 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
$5$	−0.789819	−	2.09193i	−0.353218	−	0.935541i
$5$	−0.789819	−	2.09193i	−0.353218	−	0.935541i
$6$		−	1.00000i		−	0.408248i
$7$	−4.01115	−	0.635304i	−1.51607	−	0.240122i	−0.657752	−	0.753235i	$-0.728493\pi$
$7$	−4.01115	−	0.635304i	−1.51607	−	0.240122i	−0.858322	+	0.513112i	$0.828493\pi$
$8$	0.987688	−	0.156434i	0.349201	−	0.0553079i
$9$	0.587785	−	0.809017i	0.195928	−	0.269672i
$10$	2.22250	+	0.245984i	0.702815	+	0.0777870i
$11$	−0.883534	−	1.21608i	−0.266395	−	0.366662i	0.654773	−	0.755825i	$-0.272764\pi$
$11$	−0.883534	−	1.21608i	−0.266395	−	0.366662i	−0.921169	+	0.389164i	$0.872764\pi$
$12$	0.891007	+	0.453990i	0.257211	+	0.131056i
$13$	−4.09483	+	2.08642i	−1.13570	+	0.578669i	−0.917698	−	0.397279i	$-0.869954\pi$
$13$	−4.09483	+	2.08642i	−1.13570	+	0.578669i	−0.218003	+	0.975948i	$0.569954\pi$
$14$	2.38709	−	3.28554i	0.637976	−	0.878098i
$15$	1.65345	+	1.50536i	0.426919	+	0.388681i
$16$	−0.309017	+	0.951057i	−0.0772542	+	0.237764i
$17$	−0.206842	+	0.0327605i	−0.0501665	+	0.00794560i	−0.181467	−	0.983397i	$-0.558085\pi$
$17$	−0.206842	+	0.0327605i	−0.0501665	+	0.00794560i	0.131301	+	0.991343i	$0.458085\pi$
$18$	0.453990	+	0.891007i	0.107007	+	0.210012i
$19$	6.35774	−	2.06576i	1.45857	−	0.473917i	0.530935	−	0.847413i	$-0.321841\pi$
$19$	6.35774	−	2.06576i	1.45857	−	0.473917i	0.927632	+	0.373496i	$0.121841\pi$
$20$	−1.22817	+	1.86858i	−0.274626	+	0.417828i
$21$	3.86239	−	1.25497i	0.842842	−	0.273856i
$22$	1.48465	−	0.235146i	0.316529	−	0.0501332i
$23$	0.736192	+	4.64813i	0.153507	+	0.969202i	0.937387	+	0.348290i	$0.113238\pi$
$23$	0.736192	+	4.64813i	0.153507	+	0.969202i	−0.783880	+	0.620912i	$0.786762\pi$
$24$	−0.809017	+	0.587785i	−0.165140	+	0.119981i
$25$	−3.75237	+	3.30450i	−0.750474	+	0.660899i
$26$		−	4.59573i		−	0.901297i
$27$	−0.156434	+	0.987688i	−0.0301058	+	0.190081i
$28$	1.84373	+	3.61851i	0.348431	+	0.683835i
$29$	1.22618	+	3.77379i	0.227695	+	0.700774i	0.998007	+	0.0631065i	$0.0201008\pi$
$29$	1.22618	+	3.77379i	0.227695	+	0.700774i	−0.770311	+	0.637668i	$0.779899\pi$
$30$	−2.09193	+	0.789819i	−0.381933	+	0.144201i
$31$	5.17256	+	2.06025i	0.929019	+	0.370032i
$31$	5.17256	+	2.06025i	0.929019	+	0.370032i
$32$	−0.707107	−	0.707107i	−0.125000	−	0.125000i
$33$	1.33932	+	0.682419i	0.233146	+	0.118794i
$34$	0.0647144	−	0.199170i	0.0110984	−	0.0341575i
$35$	1.83907	+	8.89284i	0.310860	+	1.50316i
$36$	−1.00000			−0.166667
$37$	0.473704	−	0.473704i	0.0778765	−	0.0778765i	−0.667096	−	0.744972i	$-0.732463\pi$
$37$	0.473704	−	0.473704i	0.0778765	−	0.0778765i	0.744972	+	0.667096i	$0.232463\pi$
$38$	−1.04575	+	6.60263i	−0.169644	+	1.07109i
$39$	2.70130	−	3.71803i	0.432555	−	0.595361i
$40$	−1.10735	−	1.94262i	−0.175087	−	0.307156i
$41$	2.38149	+	7.32948i	0.371927	+	1.14467i	0.945529	+	0.325539i	$0.105546\pi$
$41$	2.38149	+	7.32948i	0.371927	+	1.14467i	−0.573602	+	0.819134i	$0.694454\pi$
$42$	−0.635304	+	4.01115i	−0.0980296	+	0.618934i
$43$	5.57248	−	10.9366i	0.849795	−	1.66782i	0.111067	−	0.993813i	$-0.464573\pi$
$43$	5.57248	−	10.9366i	0.849795	−	1.66782i	0.738728	−	0.674004i	$-0.235427\pi$
$44$	−0.464501	+	1.42959i	−0.0700262	+	0.215518i
$45$	−2.15665	−	0.590631i	−0.321495	−	0.0880460i
$46$	−4.47574	−	1.45426i	−0.659912	−	0.214418i
$47$	6.23601	−	3.17740i	0.909615	−	0.463472i	0.0644157	−	0.997923i	$-0.479482\pi$
$47$	6.23601	−	3.17740i	0.909615	−	0.463472i	0.845199	+	0.534451i	$0.179482\pi$
$48$	−0.156434	−	0.987688i	−0.0225794	−	0.142561i
$49$	9.02835	+	2.93349i	1.28976	+	0.419070i
$50$	−1.24079	−	4.84360i	−0.175474	−	0.684988i
$51$	0.169425	−	0.123094i	0.0237242	−	0.0172366i
$52$	4.09483	+	2.08642i	0.567851	+	0.289334i
$53$	1.76299	+	11.1311i	0.242165	+	1.52897i	0.746455	+	0.665436i	$0.231754\pi$
$53$	1.76299	+	11.1311i	0.242165	+	1.52897i	−0.504290	+	0.863534i	$0.668246\pi$
$54$	−0.809017	−	0.587785i	−0.110093	−	0.0799874i
$55$	−1.84613	+	2.80878i	−0.248932	+	0.378735i
$56$	−4.06115			−0.542694
$57$	−4.72696	+	4.72696i	−0.626101	+	0.626101i
$58$	−3.91914	−	0.620731i	−0.514608	−	0.0815060i
$59$	−8.64323	−	2.80836i	−1.12525	−	0.365617i	−0.313483	−	0.949594i	$-0.601496\pi$
$59$	−8.64323	−	2.80836i	−1.12525	−	0.365617i	−0.811770	+	0.583977i	$0.801496\pi$
$60$	0.245984	−	2.22250i	0.0317564	−	0.286923i
$61$			8.30581i			1.06345i	0.846917	+	0.531725i	$0.178456\pi$
$61$			8.30581i			1.06345i	−0.846917	+	0.531725i	$0.821544\pi$
$62$	−4.18399	+	3.67345i	−0.531367	+	0.466529i
$63$	−2.87167	+	2.87167i	−0.361796	+	0.361796i
$64$	0.951057	−	0.309017i	0.118882	−	0.0386271i
$65$	7.59882	+	6.91822i	0.942518	+	0.858099i
$66$	−1.21608	+	0.883534i	−0.149689	+	0.108755i
$67$	−7.87021	−	7.87021i	−0.961500	−	0.961500i	0.0377861	−	0.999286i	$-0.487969\pi$
$67$	−7.87021	−	7.87021i	−0.961500	−	0.961500i	−0.999286	+	0.0377861i	$0.987969\pi$
$68$	0.148082	+	0.148082i	0.0179576	+	0.0179576i
$69$	−2.76616	−	3.80729i	−0.333006	−	0.458344i
$70$	−8.75850	−	2.39864i	−1.04684	−	0.286693i
$71$	8.24249	+	5.98852i	0.978204	+	0.710707i	0.957307	−	0.289075i	$-0.0933476\pi$
$71$	8.24249	+	5.98852i	0.978204	+	0.710707i	0.0208975	+	0.999782i	$0.493348\pi$
$72$	0.453990	−	0.891007i	0.0535033	−	0.105006i
$73$	9.94190	+	1.57464i	1.16361	+	0.184298i	0.708219	−	0.705993i	$-0.249499\pi$
$73$	9.94190	+	1.57464i	1.16361	+	0.184298i	0.455392	+	0.890291i	$0.349499\pi$
$74$	0.207016	+	0.637131i	0.0240652	+	0.0740649i
$75$	1.84318	−	4.64787i	0.212832	−	0.536690i
$76$	−5.40822	−	3.92930i	−0.620365	−	0.450722i
$77$	2.77141	+	5.43920i	0.315831	+	0.619854i
$78$	2.08642	+	4.09483i	0.236240	+	0.463648i
$79$	−11.6294	−	8.44928i	−1.30841	−	0.950619i	−0.308415	−	0.951252i	$-0.599798\pi$
$79$	−11.6294	−	8.44928i	−1.30841	−	0.950619i	−1.00000		0.000633413i	$0.999798\pi$
$80$	2.23361	−	0.104719i	0.249726	−	0.0117080i
$81$	−0.309017	−	0.951057i	−0.0343352	−	0.105673i
$82$	−7.61179	−	1.20559i	−0.840582	−	0.133135i
$83$	−5.07493	+	9.96010i	−0.557046	+	1.09326i	0.425101	+	0.905146i	$0.360239\pi$
$83$	−5.07493	+	9.96010i	−0.557046	+	1.09326i	−0.982147	+	0.188118i	$0.939761\pi$
$84$	−3.28554	−	2.38709i	−0.358482	−	0.260452i
$85$	0.231901	+	0.406825i	0.0251531	+	0.0441263i
$86$	7.21474	+	9.93023i	0.777985	+	1.07080i
$87$	−2.80579	−	2.80579i	−0.300813	−	0.300813i
$88$	−1.06289	−	1.06289i	−0.113305	−	0.113305i
$89$	−1.48334	+	1.07771i	−0.157234	+	0.114237i	−0.663620	−	0.748069i	$-0.730981\pi$
$89$	−1.48334	+	1.07771i	−0.157234	+	0.114237i	0.506386	+	0.862307i	$0.330981\pi$
$90$	1.50536	−	1.65345i	0.158678	−	0.174289i
$91$	17.7505	−	5.76749i	1.86076	−	0.604597i
$92$	3.32769	−	3.32769i	0.346936	−	0.346936i
$93$	−5.54412	+	0.512598i	−0.574898	+	0.0531539i
$94$			6.99883i			0.721875i
$95$	−9.34289	−	11.6684i	−0.958560	−	1.19715i
$96$	0.951057	+	0.309017i	0.0970668	+	0.0315389i
$97$	−16.9320	−	2.68177i	−1.71918	−	0.272292i	−0.782547	−	0.622592i	$-0.786080\pi$
$97$	−16.9320	−	2.68177i	−1.71918	−	0.272292i	−0.936638	+	0.350300i	$0.886080\pi$
$98$	−6.71254	+	6.71254i	−0.678069	+	0.678069i
$99$	−1.50316			−0.151073
$100$	4.87898	+	1.09340i	0.487898	+	0.109340i
$101$	−10.5248	−	7.64670i	−1.04725	−	0.760875i	−0.0755665	−	0.997141i	$-0.524077\pi$
$101$	−10.5248	−	7.64670i	−1.04725	−	0.760875i	−0.971689	+	0.236265i	$0.924077\pi$
$102$	0.0327605	+	0.206842i	0.00324378	+	0.0204804i
$103$	3.65603	+	1.86284i	0.360240	+	0.183551i	0.624737	−	0.780835i	$-0.285206\pi$
$103$	3.65603	+	1.86284i	0.360240	+	0.183551i	−0.264498	+	0.964386i	$0.585206\pi$
$104$	−3.71803	+	2.70130i	−0.364582	+	0.264885i
$105$	−5.67589	−	7.08866i	−0.553910	−	0.691782i
$106$	−10.7182	−	3.48257i	−1.04105	−	0.338257i
$107$	1.10138	+	6.95386i	0.106475	+	0.672255i	0.981971	+	0.189031i	$0.0605345\pi$
$107$	1.10138	+	6.95386i	0.106475	+	0.672255i	−0.875496	+	0.483225i	$0.839465\pi$
$108$	0.891007	−	0.453990i	0.0857371	−	0.0436853i
$109$	10.6374	+	3.45629i	1.01887	+	0.331052i	0.770382	−	0.637582i	$-0.220065\pi$
$109$	10.6374	+	3.45629i	1.01887	+	0.331052i	0.248491	+	0.968634i	$0.420065\pi$
$110$	−1.66451	−	2.92007i	−0.158705	−	0.278418i
$111$	−0.207016	+	0.637131i	−0.0196491	+	0.0604738i
$112$	1.84373	−	3.61851i	0.174216	−	0.341917i
$113$	−0.0699982	+	0.441952i	−0.00658488	+	0.0415753i	−0.990762	−	0.135612i	$-0.956700\pi$
$113$	−0.0699982	+	0.441952i	−0.00658488	+	0.0415753i	0.984177	+	0.177187i	$0.0566999\pi$
$114$	−2.06576	−	6.35774i	−0.193476	−	0.595457i
$115$	9.14212	−	5.21125i	0.852507	−	0.485951i
$116$	2.33233	−	3.21017i	0.216551	−	0.298057i
$117$	−0.718931	+	4.53915i	−0.0664652	+	0.419645i
$118$	6.42621	−	6.42621i	0.591580	−	0.591580i
$119$	0.850488			0.0779641
$120$	1.86858	+	1.22817i	0.170578	+	0.112116i
$121$	2.70097	−	8.31273i	0.245543	−	0.755702i
$122$	−7.40053	−	3.77076i	−0.670013	−	0.341389i
$123$	−5.44944	−	5.44944i	−0.491360	−	0.491360i
$124$	−1.37358	−	5.39567i	−0.123351	−	0.484546i
$125$	9.87648	+	5.23976i	0.883380	+	0.468658i
$126$	−1.25497	−	3.86239i	−0.111801	−	0.344089i
$127$	5.95436	+	11.6861i	0.528364	+	1.03697i	0.988795	+	0.149278i	$0.0476948\pi$
$127$	5.95436	+	11.6861i	0.528364	+	1.03697i	−0.460431	+	0.887695i	$0.652305\pi$
$128$	−0.156434	+	0.987688i	−0.0138270	+	0.0873001i
$129$			12.2744i			1.08070i
$130$	−9.61397	+	3.62980i	−0.843201	+	0.318354i
$131$	7.49546	−	5.44577i	0.654881	−	0.475799i	−0.210049	−	0.977691i	$-0.567362\pi$
$131$	7.49546	−	5.44577i	0.654881	−	0.475799i	0.864931	+	0.501892i	$0.167362\pi$
$132$	−0.235146	−	1.48465i	−0.0204668	−	0.129222i
$133$	−26.8143	+	4.24696i	−2.32509	+	0.368258i
$134$	10.5854	−	3.43941i	0.914441	−	0.297120i
$135$	2.18973	−	0.452844i	0.188462	−	0.0389746i
$136$	−0.199170	+	0.0647144i	−0.0170787	+	0.00554921i
$137$	7.43073	+	14.5836i	0.634850	+	1.24596i	0.954439	+	0.298408i	$0.0964555\pi$
$137$	7.43073	+	14.5836i	0.634850	+	1.24596i	−0.319588	+	0.947557i	$0.603545\pi$
$138$	4.64813	−	0.736192i	0.395675	−	0.0626688i
$139$	−1.36265	+	4.19381i	−0.115579	+	0.355714i	−0.992067	−	0.125708i	$-0.959880\pi$
$139$	−1.36265	+	4.19381i	−0.115579	+	0.355714i	0.876489	+	0.481422i	$0.159880\pi$
$140$	6.11348	−	6.71492i	0.516684	−	0.567514i
$141$	−4.11381	+	5.66218i	−0.346445	+	0.476841i
$142$	−9.07783	+	4.62538i	−0.761794	+	0.388154i
$143$	6.15517	+	3.13622i	0.514721	+	0.262264i
$144$	0.587785	+	0.809017i	0.0489821	+	0.0674181i
$145$	6.92605	−	5.54569i	0.575177	−	0.460544i
$146$	−5.91654	+	8.14342i	−0.489657	+	0.673955i
$147$	−9.37609	+	1.48503i	−0.773327	+	0.122483i
$148$	−0.661671	−	0.104798i	−0.0543890	−	0.00861438i
$149$			14.6455i			1.19981i	0.800072	+	0.599904i	$0.204795\pi$
$149$			14.6455i			1.19981i	−0.800072	+	0.599904i	$0.795205\pi$
$150$	3.30450	+	3.75237i	0.269811	+	0.306380i
$151$	2.52857	+	3.48028i	0.205772	+	0.283221i	0.899413	−	0.437100i	$-0.143994\pi$
$151$	2.52857	+	3.48028i	0.205772	+	0.283221i	−0.693641	+	0.720321i	$0.743994\pi$
$152$	5.95631	−	3.03489i	0.483121	−	0.246162i
$153$	−0.0950748	+	0.186595i	−0.00768634	+	0.0150853i
$154$	−6.10455			−0.491919
$155$	0.224518	−	12.4479i	0.0180337	−	0.999837i
$156$	−4.59573			−0.367953
$157$	−0.806361	+	1.58257i	−0.0643546	+	0.126303i	−0.920943	−	0.389697i	$-0.872580\pi$
$157$	−0.806361	+	1.58257i	−0.0643546	+	0.126303i	0.856588	+	0.516000i	$0.172580\pi$
$158$	12.8080	−	6.52601i	1.01895	−	0.519182i
$159$	−6.62424	−	9.11748i	−0.525336	−	0.723063i
$160$	−0.920734	+	2.03771i	−0.0727904	+	0.161095i
$161$		−	19.1121i		−	1.50624i
$162$	0.987688	+	0.156434i	0.0776001	+	0.0122907i
$163$	20.6921	−	3.27731i	1.62073	−	0.256698i	0.720932	−	0.693005i	$-0.243714\pi$
$163$	20.6921	−	3.27731i	1.62073	−	0.256698i	0.899798	+	0.436307i	$0.143714\pi$
$164$	4.52987	−	6.23483i	0.353723	−	0.486859i
$165$	0.369753	−	3.34076i	0.0287852	−	0.260078i
$166$	−6.57055	−	9.04359i	−0.509974	−	0.701918i
$167$	−12.9310	−	6.58866i	−1.00063	−	0.509846i	−0.124653	−	0.992200i	$-0.539782\pi$
$167$	−12.9310	−	6.58866i	−1.00063	−	0.509846i	−0.875976	+	0.482355i	$0.839782\pi$
$168$	3.61851	−	1.84373i	0.279174	−	0.142246i
$169$	4.77327	−	6.56984i	0.367174	−	0.505372i
$170$	−0.467764	+	0.0219304i	−0.0358759	+	0.00168198i
$171$	2.06576	−	6.35774i	0.157972	−	0.486189i
$172$	−12.1233	+	1.92015i	−0.924395	+	0.146410i
$173$	5.36085	+	10.5213i	0.407578	+	0.799917i	0.999984	−	0.00572292i	$-0.00182167\pi$
$173$	5.36085	+	10.5213i	0.407578	+	0.799917i	−0.592406	+	0.805640i	$0.701822\pi$
$174$	3.77379	−	1.22618i	0.286090	−	0.0929563i
$175$	17.1507	−	10.8709i	1.29647	−	0.821767i
$176$	1.42959	−	0.464501i	0.107759	−	0.0350131i
$177$	8.97614	−	1.42168i	0.674688	−	0.106860i
$178$	−0.286825	−	1.81094i	−0.0214984	−	0.135736i
$179$	−4.35776	+	3.16610i	−0.325714	+	0.236645i	−0.738610	−	0.674133i	$-0.764517\pi$
$179$	−4.35776	+	3.16610i	−0.325714	+	0.236645i	0.412896	+	0.910778i	$0.364517\pi$
$180$	0.789819	+	2.09193i	0.0588696	+	0.155924i
$181$		−	6.10377i		−	0.453690i	−0.973931	−	0.226845i	$-0.927159\pi$
$181$		−	6.10377i		−	0.453690i	0.973931	−	0.226845i	$-0.0728410\pi$
$182$	−2.91969	+	18.4342i	−0.216422	+	1.36643i
$183$	−3.77076	−	7.40053i	−0.278743	−	0.547063i
$184$	1.45426	+	4.47574i	0.107209	+	0.329956i
$185$	−1.36510	−	0.616817i	−0.100364	−	0.0453493i
$186$	2.06025	−	5.17256i	0.151065	−	0.379270i
$187$	0.222591	+	0.222591i	0.0162775	+	0.0162775i
$188$	−6.23601	−	3.17740i	−0.454808	−	0.231736i
$189$	1.25497	−	3.86239i	0.0912853	−	0.280947i
$190$	14.6382	−	3.02723i	1.06197	−	0.219619i
$191$	6.80710			0.492544			0.246272	−	0.969201i	$-0.420794\pi$
$191$	6.80710			0.492544			0.246272	+	0.969201i	$0.420794\pi$
$192$	−0.707107	+	0.707107i	−0.0510310	+	0.0510310i
$193$	1.27496	−	8.04976i	0.0917734	−	0.579435i	−0.898355	−	0.439271i	$-0.855237\pi$
$193$	1.27496	−	8.04976i	0.0917734	−	0.579435i	0.990128	−	0.140164i	$-0.0447630\pi$
$194$	10.0764	−	13.8690i	0.723446	−	0.995738i
$195$	−9.91141	−	2.71438i	−0.709770	−	0.194381i
$196$	−2.93349	−	9.02835i	−0.209535	−	0.644882i
$197$	0.880447	−	5.55893i	0.0627293	−	0.396057i	−0.936268	−	0.351286i	$-0.885744\pi$
$197$	0.880447	−	5.55893i	0.0627293	−	0.396057i	0.998997	−	0.0447706i	$-0.0142557\pi$
$198$	0.682419	−	1.33932i	0.0484974	−	0.0951815i
$199$	−1.69565	+	5.21867i	−0.120201	+	0.369942i	−0.992996	−	0.118145i	$-0.962305\pi$
$199$	−1.69565	+	5.21867i	−0.120201	+	0.369942i	0.872795	+	0.488087i	$0.162305\pi$
$200$	−3.18924	+	3.85081i	−0.225513	+	0.272294i
$201$	10.5854	+	3.43941i	0.746638	+	0.242597i
$202$	11.5914	−	5.90612i	0.815569	−	0.415553i
$203$	−2.52088	−	15.9162i	−0.176931	−	1.11710i
$204$	−0.199170	−	0.0647144i	−0.0139447	−	0.00453091i
$205$	13.4518	−	10.7709i	0.939518	−	0.752272i
$206$	−3.31961	+	2.41184i	−0.231288	+	0.168041i
$207$	4.19314	+	2.13651i	0.291443	+	0.148498i
$208$	−0.718931	−	4.53915i	−0.0498489	−	0.314734i
$209$	−8.12940	−	5.90636i	−0.562323	−	0.408551i
$210$	8.89284	−	1.83907i	0.613664	−	0.126908i
$211$	11.6495			0.801982			0.400991	−	0.916082i	$-0.368666\pi$
$211$	11.6495			0.801982			0.400991	+	0.916082i	$0.368666\pi$
$212$	7.96897	−	7.96897i	0.547311	−	0.547311i
$213$	−10.0628	−	1.59380i	−0.689495	−	0.109205i
$214$	−6.69595	−	2.17565i	−0.457726	−	0.148724i
$215$	−27.2799	−	3.01932i	−1.86047	−	0.205916i
$216$			1.00000i			0.0680414i
$217$	−19.4390	−	11.5501i	−1.31961	−	0.784074i
$218$	−7.90883	+	7.90883i	−0.535654	+	0.535654i
$219$	−9.57317	+	3.11051i	−0.646895	+	0.210189i
$220$	3.35747	−	0.157410i	0.226361	−	0.0106126i
$221$	0.778630	−	0.565708i	0.0523763	−	0.0380536i
$222$	−0.473704	−	0.473704i	−0.0317929	−	0.0317929i
$223$	14.7669	+	14.7669i	0.988868	+	0.988868i	0.999939	−	0.0110708i	$-0.00352402\pi$
$223$	14.7669	+	14.7669i	0.988868	+	0.988868i	−0.0110708	+	0.999939i	$0.503524\pi$
$224$	2.38709	+	3.28554i	0.159494	+	0.219525i
$225$	0.467805	+	4.97807i	0.0311870	+	0.331871i
$226$	−0.362003	−	0.263011i	−0.0240801	−	0.0174952i
$227$	10.4572	−	20.5233i	0.694066	−	1.36218i	−0.227430	−	0.973794i	$-0.573032\pi$
$227$	10.4572	−	20.5233i	0.694066	−	1.36218i	0.921496	−	0.388388i	$-0.126968\pi$
$228$	6.60263	+	1.04575i	0.437270	+	0.0692567i
$229$	−4.92964	−	15.1719i	−0.325760	−	1.00259i	−0.971096	−	0.238688i	$-0.923283\pi$
$229$	−4.92964	−	15.1719i	−0.325760	−	1.00259i	0.645336	−	0.763899i	$-0.276717\pi$
$230$	0.492817	+	10.5115i	0.0324954	+	0.693111i
$231$	−4.93869	−	3.58817i	−0.324942	−	0.236084i
$232$	1.80143	+	3.53551i	0.118270	+	0.232117i
$233$	9.22599	+	18.1070i	0.604415	+	1.18623i	0.967118	+	0.254326i	$0.0818538\pi$
$233$	9.22599	+	18.1070i	0.604415	+	1.18623i	−0.362704	+	0.931905i	$0.618146\pi$
$234$	−3.71803	−	2.70130i	−0.243055	−	0.176590i
$235$	−11.5722	−	10.5357i	−0.754889	−	0.687276i
$236$	2.80836	+	8.64323i	0.182808	+	0.562626i
$237$	14.1978	+	2.24871i	0.922246	+	0.146069i
$238$	−0.386113	+	0.757790i	−0.0250280	+	0.0491202i
$239$	6.92137	+	5.02867i	0.447706	+	0.325278i	0.788690	−	0.614792i	$-0.210760\pi$
$239$	6.92137	+	5.02867i	0.447706	+	0.325278i	−0.340983	+	0.940069i	$0.610760\pi$
$240$	−1.94262	+	1.10735i	−0.125396	+	0.0714788i
$241$	−4.83989	−	6.66154i	−0.311765	−	0.429107i	0.624166	−	0.781292i	$-0.285439\pi$
$241$	−4.83989	−	6.66154i	−0.311765	−	0.429107i	−0.935931	+	0.352185i	$0.885439\pi$
$242$	6.18048	+	6.18048i	0.397296	+	0.397296i
$243$	0.707107	+	0.707107i	0.0453609	+	0.0453609i
$244$	6.71954	−	4.88203i	0.430175	−	0.312540i
$245$	−0.994098	−	21.2036i	−0.0635106	−	1.35465i
$246$	7.32948	−	2.38149i	0.467311	−	0.151838i
$247$	−21.7238	+	21.7238i	−1.38225	+	1.38225i
$248$	5.43117	+	1.22572i	0.344880	+	0.0778331i
$249$		−	11.1785i		−	0.708408i
$250$	−9.15249	+	6.42121i	−0.578854	+	0.406113i
$251$	15.3252	+	4.97945i	0.967315	+	0.314300i	0.749732	−	0.661742i	$-0.230183\pi$
$251$	15.3252	+	4.97945i	0.967315	+	0.314300i	0.217584	+	0.976042i	$0.430183\pi$
$252$	4.01115	+	0.635304i	0.252679	+	0.0400204i
$253$	5.00205	−	5.00205i	0.314476	−	0.314476i
$254$	−13.1156			−0.822947
$255$	−0.391319	−	0.257203i	−0.0245054	−	0.0161067i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	−1.69936	−	10.7293i	−0.106003	−	0.669276i	−0.982273	−	0.187456i	$-0.939976\pi$
$257$	−1.69936	−	10.7293i	−0.106003	−	0.669276i	0.876270	−	0.481820i	$-0.160024\pi$
$258$	−10.9366	−	5.57248i	−0.680883	−	0.346927i
$259$	−2.20105	+	1.59915i	−0.136766	+	0.0993666i
$260$	1.13048	−	10.2140i	0.0701093	−	0.633446i
$261$	3.77379	+	1.22618i	0.233591	+	0.0758985i
$262$	1.44935	+	9.15083i	0.0895411	+	0.565340i
$263$	−22.9550	+	11.6961i	−1.41546	+	0.721215i	−0.983539	−	0.180695i	$-0.942165\pi$
$263$	−22.9550	+	11.6961i	−1.41546	+	0.721215i	−0.431925	+	0.901910i	$0.642165\pi$
$264$	1.42959	+	0.464501i	0.0879850	+	0.0285881i
$265$	21.8930	−	12.4796i	1.34488	−	0.766615i
$266$	8.38935	−	25.8198i	0.514384	−	1.58311i
$267$	0.832397	−	1.63367i	0.0509419	−	0.0999791i
$268$	−1.74114	+	10.9931i	−0.106357	+	0.671512i
$269$	1.95735	+	6.02412i	0.119342	+	0.367297i	0.992828	−	0.119553i	$-0.0381460\pi$
$269$	1.95735	+	6.02412i	0.119342	+	0.367297i	−0.873486	+	0.486849i	$0.838146\pi$
$270$	−0.590631	+	2.15665i	−0.0359446	+	0.131250i
$271$	−14.9366	+	20.5585i	−0.907333	+	1.24884i	0.0607360	+	0.998154i	$0.480655\pi$
$271$	−14.9366	+	20.5585i	−0.907333	+	1.24884i	−0.968069	+	0.250683i	$0.919345\pi$
$272$	0.0327605	−	0.206842i	0.00198640	−	0.0125416i
$273$	−13.1974	+	13.1974i	−0.798745	+	0.798745i
$274$	−16.3676			−0.988803
$275$	7.33388	+	1.64355i	0.442250	+	0.0991097i
$276$	−1.45426	+	4.47574i	−0.0875359	+	0.269408i
$277$	5.86277	+	2.98723i	0.352260	+	0.179485i	0.621162	−	0.783682i	$-0.286661\pi$
$277$	5.86277	+	2.98723i	0.352260	+	0.179485i	−0.268902	+	0.963167i	$0.586661\pi$
$278$	−3.11808	−	3.11808i	−0.187010	−	0.187010i
$279$	4.70713	−	2.97370i	0.281809	−	0.178031i
$280$	3.20758	+	8.49566i	0.191689	+	0.507713i
$281$	6.36183	+	19.5797i	0.379515	+	1.16803i	0.940382	+	0.340121i	$0.110468\pi$
$281$	6.36183	+	19.5797i	0.379515	+	1.16803i	−0.560867	+	0.827906i	$0.689532\pi$
$282$	−3.17740	−	6.23601i	−0.189212	−	0.371349i
$283$	0.731585	−	4.61905i	0.0434882	−	0.274574i	−0.956356	−	0.292203i	$-0.905612\pi$
$283$	0.731585	−	4.61905i	0.0434882	−	0.274574i	0.999845	+	0.0176289i	$0.00561175\pi$
$284$		−	10.1883i		−	0.604563i
$285$	13.6219	+	6.15504i	0.806893	+	0.364593i
$286$	−5.58878	+	4.06048i	−0.330471	+	0.240101i
$287$	−4.89608	−	30.9127i	−0.289007	−	1.82472i
$288$	−0.987688	+	0.156434i	−0.0582001	+	0.00921799i
$289$	−16.1263	+	5.23974i	−0.948603	+	0.308220i
$290$	1.79688	+	8.68885i	0.105517	+	0.510227i
$291$	16.3040	−	5.29750i	0.955759	−	0.310545i
$292$	−4.56979	−	8.96872i	−0.267427	−	0.524854i
$293$	12.3298	−	1.95285i	0.720315	−	0.114087i	0.214494	−	0.976725i	$-0.431190\pi$
$293$	12.3298	−	1.95285i	0.720315	−	0.114087i	0.505821	+	0.862638i	$0.331190\pi$
$294$	2.93349	−	9.02835i	0.171085	−	0.526544i
$295$	0.951693	+	20.2992i	0.0554097	+	1.18186i
$296$	0.393768	−	0.541976i	0.0228873	−	0.0315017i
$297$	1.33932	−	0.682419i	0.0777154	−	0.0395980i
$298$	−13.0493	−	6.64893i	−0.755924	−	0.385162i
$299$	−12.7125	−	17.4973i	−0.735185	−	1.01189i
$300$	−4.84360	+	1.24079i	−0.279645	+	0.0716369i
$301$	−29.3001	+	40.3282i	−1.68883	+	2.32448i
$302$	−4.24889	+	0.672959i	−0.244496	+	0.0387244i
$303$	12.8492	+	2.03511i	0.738166	+	0.116914i
$304$			6.68493i			0.383407i
$305$	17.3752	−	6.56009i	0.994902	−	0.375630i
$306$	−0.123094	−	0.169425i	−0.00703682	−	0.00968536i
$307$	−10.8969	+	5.55227i	−0.621921	+	0.316885i	−0.736406	−	0.676540i	$-0.763478\pi$
$307$	−10.8969	+	5.55227i	−0.621921	+	0.316885i	0.114484	+	0.993425i	$0.463478\pi$
$308$	2.77141	−	5.43920i	0.157916	−	0.309927i
$309$	−4.10326			−0.233426
$310$	10.9892	+	5.85126i	0.624145	+	0.332329i
$311$	−1.08403			−0.0614699			−0.0307350	−	0.999528i	$-0.509785\pi$
$311$	−1.08403			−0.0614699			−0.0307350	+	0.999528i	$0.509785\pi$
$312$	2.08642	−	4.09483i	0.118120	−	0.231824i
$313$	−13.8056	+	7.03431i	−0.780339	+	0.397603i	−0.798318	−	0.602236i	$-0.794277\pi$
$313$	−13.8056	+	7.03431i	−0.780339	+	0.397603i	0.0179794	+	0.999838i	$0.494277\pi$
$314$	−1.04400	−	1.43695i	−0.0589164	−	0.0810915i
$315$	8.27544	+	3.73924i	0.466268	+	0.210682i
$316$			14.3748i			0.808645i
$317$	15.7774	+	2.49890i	0.886148	+	0.140352i	0.582885	−	0.812555i	$-0.301924\pi$
$317$	15.7774	+	2.49890i	0.886148	+	0.140352i	0.303263	+	0.952907i	$0.401924\pi$
$318$	11.1311	−	1.76299i	0.624200	−	0.0988635i
$319$	3.50586	−	4.82540i	0.196290	−	0.270170i
$320$	−1.39761	−	1.74548i	−0.0781285	−	0.0975753i
$321$	−4.13833	−	5.69592i	−0.230979	−	0.317915i
$322$	17.0290	+	8.67670i	0.948988	+	0.483534i
$323$	−1.24737	+	0.635568i	−0.0694057	+	0.0353640i
$324$	−0.587785	+	0.809017i	−0.0326547	+	0.0449454i
$325$	8.47075	−	21.3604i	0.469873	−	1.18486i
$326$	−6.47392	+	19.9247i	−0.358557	+	1.10352i
$327$	−11.0471	+	1.74968i	−0.610905	+	0.0967578i
$328$	3.49876	+	6.86670i	0.193187	+	0.379150i
$329$	−27.0322	+	8.78330i	−1.49033	+	0.484239i
$330$	2.80878	+	1.84613i	0.154618	+	0.101626i
$331$	−0.701156	+	0.227819i	−0.0385390	+	0.0125221i	−0.328223	−	0.944600i	$-0.606450\pi$
$331$	−0.701156	+	0.227819i	−0.0385390	+	0.0125221i	0.289684	+	0.957122i	$0.406450\pi$
$332$	11.0409	−	1.74870i	0.605946	−	0.0959724i
$333$	−0.104798	−	0.661671i	−0.00574292	−	0.0362594i
$334$	11.7411	−	8.53039i	0.642443	−	0.466762i
$335$	−10.2479	+	22.6800i	−0.559904	+	1.23914i
$336$			4.06115i			0.221554i
$337$	−4.90672	+	30.9798i	−0.267286	+	1.68758i	0.379725	+	0.925099i	$0.376018\pi$
$337$	−4.90672	+	30.9798i	−0.267286	+	1.68758i	−0.647012	+	0.762480i	$0.723982\pi$
$338$	3.68675	+	7.23565i	0.200533	+	0.393568i
$339$	−0.138273	−	0.425560i	−0.00750995	−	0.0231133i
$340$	0.192820	−	0.426737i	0.0104572	−	0.0231431i
$341$	−2.06470	−	8.11054i	−0.111810	−	0.439211i
$342$	4.72696	+	4.72696i	0.255605	+	0.255605i
$343$	−9.02084	−	4.59635i	−0.487080	−	0.248179i
$344$	3.79301	−	11.6737i	0.204505	−	0.629403i
$345$	−5.77984	+	8.79369i	−0.311176	+	0.473436i
$346$	−11.8083			−0.634818
$347$	−0.626471	+	0.626471i	−0.0336307	+	0.0336307i	−0.723722	−	0.690091i	$-0.757570\pi$
$347$	−0.626471	+	0.626471i	−0.0336307	+	0.0336307i	0.690091	+	0.723722i	$0.257570\pi$
$348$	−0.620731	+	3.91914i	−0.0332747	+	0.210088i
$349$	2.67372	−	3.68006i	0.143121	−	0.196989i	−0.731438	−	0.681908i	$-0.761151\pi$
$349$	2.67372	−	3.68006i	0.143121	−	0.196989i	0.874559	+	0.484918i	$0.161151\pi$
$350$	1.89983	+	20.2167i	0.101550	+	1.08063i
$351$	−1.42016	−	4.37080i	−0.0758025	−	0.233296i
$352$	−0.235146	+	1.48465i	−0.0125333	+	0.0791321i
$353$	3.15180	−	6.18576i	0.167753	−	0.329235i	−0.791791	−	0.610792i	$-0.790851\pi$
$353$	3.15180	−	6.18576i	0.167753	−	0.329235i	0.959544	+	0.281558i	$0.0908510\pi$
$354$	−2.80836	+	8.64323i	−0.149262	+	0.459382i
$355$	6.01751	−	21.9726i	0.319376	−	1.16618i
$356$	1.74377	+	0.566587i	0.0924198	+	0.0300290i
$357$	−0.757790	+	0.386113i	−0.0401065	+	0.0204353i
$358$	−0.842632	−	5.32017i	−0.0445345	−	0.281180i
$359$	−31.3304	−	10.1799i	−1.65355	−	0.537272i	−0.674048	−	0.738688i	$-0.735446\pi$
$359$	−31.3304	−	10.1799i	−1.65355	−	0.537272i	−0.979506	+	0.201416i	$0.935446\pi$
$360$	−2.22250	−	0.245984i	−0.117136	−	0.0129645i
$361$	20.7822	−	15.0992i	1.09380	−	0.794694i
$362$	5.43850	+	2.77105i	0.285841	+	0.145643i
$363$	1.36732	+	8.63291i	0.0717656	+	0.453110i
$364$	−15.0995	−	10.9704i	−0.791428	−	0.575006i
$365$	−4.55825	−	22.0415i	−0.238590	−	1.15370i
$366$	8.30581			0.434152
$367$	8.20350	−	8.20350i	0.428219	−	0.428219i	−0.459802	−	0.888021i	$-0.652080\pi$
$367$	8.20350	−	8.20350i	0.428219	−	0.428219i	0.888021	+	0.459802i	$0.152080\pi$
$368$	−4.64813	−	0.736192i	−0.242301	−	0.0383766i
$369$	7.32948	+	2.38149i	0.381558	+	0.123976i
$370$	1.16933	−	0.936282i	0.0607906	−	0.0486750i
$371$		−	45.7685i		−	2.37618i
$372$	3.67345	+	4.18399i	0.190460	+	0.216930i
$373$	−11.7814	+	11.7814i	−0.610015	+	0.610015i	−0.942950	−	0.332934i	$-0.891961\pi$
$373$	−11.7814	+	11.7814i	−0.610015	+	0.610015i	0.332934	+	0.942950i	$0.391961\pi$
$374$	−0.299384	+	0.0972759i	−0.0154808	+	0.00503002i
$375$	−11.1788	−	0.184830i	−0.577271	−	0.00954457i
$376$	5.66218	−	4.11381i	0.292004	−	0.212154i
$377$	−12.8947	−	12.8947i	−0.664110	−	0.664110i
$378$	2.87167	+	2.87167i	0.147703	+	0.147703i
$379$	−10.8351	−	14.9132i	−0.556559	−	0.766038i	0.434325	−	0.900756i	$-0.356987\pi$
$379$	−10.8351	−	14.9132i	−0.556559	−	0.766038i	−0.990884	+	0.134718i	$0.956987\pi$
$380$	−3.94832	+	14.4171i	−0.202545	+	0.739580i
$381$	−10.6108	−	7.70916i	−0.543605	−	0.394952i
$382$	−3.09036	+	6.06517i	−0.158116	+	0.310321i
$383$	24.2450	+	3.84003i	1.23886	+	0.196216i	0.741277	−	0.671199i	$-0.234220\pi$
$383$	24.2450	+	3.84003i	1.23886	+	0.196216i	0.497585	+	0.867415i	$0.334220\pi$
$384$	−0.309017	−	0.951057i	−0.0157695	−	0.0485334i
$385$	9.18952	−	10.0936i	0.468342	−	0.514417i
$386$	6.59357	+	4.79051i	0.335604	+	0.243831i
$387$	−5.57248	−	10.9366i	−0.283265	−	0.555939i
$388$	7.78279	+	15.2746i	0.395111	+	0.775449i
$389$	8.99567	+	6.53574i	0.456099	+	0.331375i	0.791999	−	0.610522i	$-0.209041\pi$
$389$	8.99567	+	6.53574i	0.456099	+	0.331375i	−0.335900	+	0.941898i	$0.609041\pi$
$390$	6.91822	−	7.59882i	0.350317	−	0.384781i
$391$	−0.304551	−	0.937310i	−0.0154018	−	0.0474018i
$392$	9.37609	+	1.48503i	0.473564	+	0.0750052i
$393$	−4.20618	+	8.25509i	−0.212174	+	0.416414i
$394$	4.55332	+	3.30818i	0.229393	+	0.166664i
$395$	−8.49019	+	31.0014i	−0.427188	+	1.55985i
$396$	0.883534	+	1.21608i	0.0443992	+	0.0611103i
$397$	−3.18479	−	3.18479i	−0.159840	−	0.159840i	0.622656	−	0.782496i	$-0.286054\pi$
$397$	−3.18479	−	3.18479i	−0.159840	−	0.159840i	−0.782496	+	0.622656i	$0.786054\pi$
$398$	−3.88006	−	3.88006i	−0.194490	−	0.194490i
$399$	21.9636	−	15.9575i	1.09956	−	0.798874i
$400$	−1.98322	−	4.58986i	−0.0991608	−	0.229493i
$401$	−4.01797	+	1.30552i	−0.200648	+	0.0651945i	−0.407617	−	0.913153i	$-0.633640\pi$
$401$	−4.01797	+	1.30552i	−0.200648	+	0.0651945i	0.206969	+	0.978348i	$0.433640\pi$
$402$	−7.87021	+	7.87021i	−0.392531	+	0.392531i
$403$	−25.4793	+	2.35576i	−1.26921	+	0.117349i
$404$			13.0093i			0.647239i
$405$	−1.74548	+	1.39761i	−0.0867336	+	0.0694476i
$406$	15.3259	+	4.97969i	0.760613	+	0.247138i
$407$	−0.994596	−	0.157528i	−0.0493003	−	0.00780840i
$408$	0.148082	−	0.148082i	0.00733117	−	0.00733117i
$409$	−14.0665			−0.695546			−0.347773	−	0.937579i	$-0.613062\pi$
$409$	−14.0665			−0.695546			−0.347773	+	0.937579i	$0.613062\pi$
$410$	3.48992	+	16.8756i	0.172355	+	0.833425i
$411$	−13.2417	−	9.62063i	−0.653163	−	0.474551i
$412$	−0.641892	−	4.05274i	−0.0316237	−	0.199664i
$413$	32.8852	+	16.7558i	1.61817	+	0.824500i
$414$	−3.80729	+	2.76616i	−0.187118	+	0.135949i
$415$	24.8441	+	2.74973i	1.21955	+	0.134979i
$416$	4.37080	+	1.42016i	0.214296	+	0.0696291i
$417$	−0.689819	−	4.35534i	−0.0337806	−	0.213282i
$418$	8.95328	−	4.56192i	0.437919	−	0.223131i
$419$	−9.39606	−	3.05297i	−0.459028	−	0.149147i	0.0703699	−	0.997521i	$-0.477582\pi$
$419$	−9.39606	−	3.05297i	−0.459028	−	0.149147i	−0.529398	+	0.848374i	$0.677582\pi$
$420$	−2.39864	+	8.75850i	−0.117042	+	0.427371i
$421$	−4.93084	+	15.1756i	−0.240314	+	0.739612i	0.756057	+	0.654505i	$0.227123\pi$
$421$	−4.93084	+	15.1756i	−0.240314	+	0.739612i	−0.996372	+	0.0851064i	$0.972877\pi$
$422$	−5.28874	+	10.3797i	−0.257452	+	0.505278i
$423$	1.09486	−	6.91267i	0.0532339	−	0.336105i
$424$	3.48257	+	10.7182i	0.169128	+	0.520524i
$425$	0.667891	−	0.806438i	0.0323975	−	0.0391180i
$426$	5.98852	−	8.24249i	0.290145	−	0.399350i
$427$	5.27672	−	33.3159i	0.255358	−	1.61227i
$428$	4.97842	−	4.97842i	0.240641	−	0.240641i
$429$	−6.90811			−0.333527
$430$	15.0750	−	22.9358i	0.726983	−	1.10606i
$431$	−7.78879	+	23.9714i	−0.375173	+	1.15466i	0.568189	+	0.822898i	$0.307644\pi$
$431$	−7.78879	+	23.9714i	−0.375173	+	1.15466i	−0.943362	+	0.331766i	$0.892356\pi$
$432$	−0.891007	−	0.453990i	−0.0428686	−	0.0218426i
$433$	−12.5417	−	12.5417i	−0.602713	−	0.602713i	0.338318	−	0.941032i	$-0.390142\pi$
$433$	−12.5417	−	12.5417i	−0.602713	−	0.602713i	−0.941032	+	0.338318i	$0.890142\pi$
$434$	19.1164	−	12.0767i	0.917616	−	0.579699i
$435$	−3.65347	+	8.08561i	−0.175170	+	0.387675i
$436$	−3.45629	−	10.6374i	−0.165526	−	0.509437i
$437$	14.2824	+	28.0308i	0.683221	+	1.34090i
$438$	1.57464	−	9.94190i	0.0752393	−	0.475042i
$439$			31.8552i			1.52037i	0.649708	+	0.760184i	$0.274891\pi$
$439$			31.8552i			1.52037i	−0.649708	+	0.760184i	$0.725109\pi$
$440$	−1.38401	+	3.06299i	−0.0659800	+	0.146022i
$441$	7.67997	−	5.57983i	0.365713	−	0.265706i
$442$	0.150559	+	0.950590i	0.00716135	+	0.0452150i
$443$	−33.5710	+	5.31712i	−1.59500	+	0.252624i	−0.889790	−	0.456370i	$-0.849149\pi$
$443$	−33.5710	+	5.31712i	−1.59500	+	0.252624i	−0.705215	+	0.708994i	$0.749149\pi$
$444$	0.637131	−	0.207016i	0.0302369	−	0.00982456i
$445$	3.42607	+	2.25186i	0.162411	+	0.106748i
$446$	−19.8615	+	6.45339i	−0.940469	+	0.305577i
$447$	−6.64893	−	13.0493i	−0.314484	−	0.617209i
$448$	−4.01115	+	0.635304i	−0.189509	+	0.0300153i
$449$	−5.47839	+	16.8607i	−0.258541	+	0.795707i	0.734570	+	0.678533i	$0.237384\pi$
$449$	−5.47839	+	16.8607i	−0.258541	+	0.795707i	−0.993111	+	0.117175i	$0.962616\pi$
$450$	−4.64787	−	1.84318i	−0.219103	−	0.0868882i
$451$	6.80911	−	9.37193i	0.320628	−	0.441307i
$452$	0.398690	−	0.203143i	0.0187528	−	0.00955503i
$453$	−3.83298	−	1.95300i	−0.180089	−	0.0917600i
$454$	13.5390	+	18.6348i	0.635416	+	0.874575i
$455$	−26.0849	−	32.5776i	−1.22288	−	1.52726i
$456$	−3.92930	+	5.40822i	−0.184006	+	0.253263i
$457$	16.5729	−	2.62490i	0.775249	−	0.122787i	0.243741	−	0.969840i	$-0.421625\pi$
$457$	16.5729	−	2.62490i	0.775249	−	0.122787i	0.531508	+	0.847053i	$0.321625\pi$
$458$	15.7563	+	2.49555i	0.736242	+	0.116609i
$459$		−	0.209420i		−	0.00977490i
$460$	−9.58959	−	4.33304i	−0.447117	−	0.202029i
$461$	7.84930	+	10.8036i	0.365578	+	0.503176i	0.951692	−	0.307053i	$-0.0993429\pi$
$461$	7.84930	+	10.8036i	0.365578	+	0.503176i	−0.586114	+	0.810229i	$0.699343\pi$
$462$	5.43920	−	2.77141i	0.253054	−	0.128938i
$463$	−11.4469	+	22.4658i	−0.531982	+	1.04407i	0.456069	+	0.889944i	$0.349257\pi$
$463$	−11.4469	+	22.4658i	−0.531982	+	1.04407i	−0.988051	+	0.154129i	$0.950743\pi$
$464$	−3.96799			−0.184209
$465$	5.45117	+	11.1931i	0.252792	+	0.519066i
$466$	−20.3220			−0.941398
$467$	−8.74105	+	17.1553i	−0.404487	+	0.793851i	−0.999955	−	0.00952847i	$-0.996967\pi$
$467$	−8.74105	+	17.1553i	−0.404487	+	0.793851i	0.595467	+	0.803380i	$0.296967\pi$
$468$	4.09483	−	2.08642i	0.189284	−	0.0964448i
$469$	26.5687	+	36.5686i	1.22683	+	1.68858i
$470$	14.6411	−	5.52781i	0.675343	−	0.254979i
$471$		−	1.77616i		−	0.0818412i
$472$	−8.97614	−	1.42168i	−0.413160	−	0.0654382i
$473$	−18.2233	+	2.88628i	−0.837906	+	0.132711i
$474$	−8.44928	+	11.6294i	−0.388088	+	0.534158i
$475$	−17.0303	+	28.7606i	−0.781405	+	1.31963i
$476$	−0.499904	−	0.688059i	−0.0229131	−	0.0315371i
$477$	10.0415	+	5.11639i	0.459768	+	0.234264i
$478$	−7.62282	+	3.88402i	−0.348660	+	0.177651i
$479$	14.1350	−	19.4552i	0.645846	−	0.888930i	−0.353065	−	0.935599i	$-0.614861\pi$
$479$	14.1350	−	19.4552i	0.645846	−	0.888930i	0.998910	+	0.0466688i	$0.0148605\pi$
$480$	−0.104719	−	2.23361i	−0.00477976	−	0.101950i
$481$	−0.951392	+	2.92808i	−0.0433797	+	0.133509i
$482$	8.13273	−	1.28810i	0.370436	−	0.0586713i
$483$	8.67670	+	17.0290i	0.394804	+	0.774846i
$484$	−8.31273	+	2.70097i	−0.377851	+	0.122771i
$485$	7.76314	+	37.5387i	0.352506	+	1.70455i
$486$	−0.951057	+	0.309017i	−0.0431408	+	0.0140173i
$487$	31.6943	−	5.01989i	1.43621	−	0.227473i	0.610698	−	0.791863i	$-0.290889\pi$
$487$	31.6943	−	5.01989i	1.43621	−	0.227473i	0.825508	+	0.564390i	$0.190889\pi$
$488$	1.29932	+	8.20355i	0.0588172	+	0.371357i
$489$	−16.9489	+	12.3141i	−0.766457	+	0.556864i
$490$	19.3439	+	8.74050i	0.873868	+	0.394856i
$491$			16.7082i			0.754032i	0.926207	+	0.377016i	$0.123050\pi$
$491$			16.7082i			0.754032i	−0.926207	+	0.377016i	$0.876950\pi$
$492$	−1.20559	+	7.61179i	−0.0543522	+	0.343166i
$493$	−0.377256	−	0.740407i	−0.0169908	−	0.0333462i
$494$	−9.49367	−	29.2185i	−0.427140	−	1.31460i
$495$	1.18722	+	3.14450i	0.0533617	+	0.141335i
$496$	−3.55782	+	4.28274i	−0.159751	+	0.192301i
$497$	−29.2574	−	29.2574i	−1.31237	−	1.31237i
$498$	9.96010	+	5.07493i	0.446323	+	0.227413i
$499$	4.61940	−	14.2171i	0.206793	−	0.636443i	−0.792842	−	0.609427i	$-0.791400\pi$
$499$	4.61940	−	14.2171i	0.206793	−	0.636443i	0.999635	−	0.0270159i	$-0.00860047\pi$
$500$	−1.56620	−	11.0701i	−0.0700425	−	0.495070i
$501$	14.5128			0.648383
$502$	−11.3942	+	11.3942i	−0.508548	+	0.508548i
$503$	0.832706	−	5.25750i	0.0371285	−	0.234420i	−0.962145	−	0.272539i	$-0.912137\pi$
$503$	0.832706	−	5.25750i	0.0371285	−	0.234420i	0.999273	+	0.0381189i	$0.0121366\pi$
$504$	−2.38709	+	3.28554i	−0.106329	+	0.146350i
$505$	−7.68372	+	28.0567i	−0.341921	+	1.24850i
$506$	2.18597	+	6.72774i	0.0971784	+	0.299084i
$507$	−1.27037	+	8.02079i	−0.0564190	+	0.356216i
$508$	5.95436	−	11.6861i	0.264182	−	0.518487i
$509$	−12.7672	+	39.2935i	−0.565898	+	1.74165i	0.0993710	+	0.995050i	$0.468317\pi$
$509$	−12.7672	+	39.2935i	−0.565898	+	1.74165i	−0.665269	+	0.746604i	$0.731683\pi$
$510$	0.406825	−	0.231901i	0.0180145	−	0.0102687i
$511$	−38.8781	−	12.6323i	−1.71987	−	0.558818i
$512$	0.891007	−	0.453990i	0.0393773	−	0.0200637i
$513$	1.04575	+	6.60263i	0.0461711	+	0.291513i
$514$	10.3314	+	3.35687i	0.455698	+	0.148065i
$515$	1.00934	−	9.11949i	0.0444767	−	0.401853i
$516$	9.93023	−	7.21474i	0.437154	−	0.317611i
$517$	−9.37370	−	4.77614i	−0.412255	−	0.210054i
$518$	−0.425602	−	2.68715i	−0.0186999	−	0.118067i
$519$	−9.55311	−	6.94074i	−0.419335	−	0.304665i
$520$	8.58752	+	5.64432i	0.376588	+	0.247520i
$521$	−18.3661			−0.804632			−0.402316	−	0.915501i	$-0.631795\pi$
$521$	−18.3661			−0.804632			−0.402316	+	0.915501i	$0.631795\pi$
$522$	−2.80579	+	2.80579i	−0.122806	+	0.122806i
$523$	12.1767	+	1.92860i	0.532449	+	0.0843317i	0.416869	−	0.908967i	$-0.363127\pi$
$523$	12.1767	+	1.92860i	0.532449	+	0.0843317i	0.115580	+	0.993298i	$0.463127\pi$
$524$	−8.81144	−	2.86301i	−0.384930	−	0.125071i
$525$	−10.3461	+	17.4723i	−0.451540	+	0.762556i
$526$		−	25.7630i		−	1.12332i
$527$	−1.13740	−	0.256690i	−0.0495458	−	0.0111816i
$528$	−1.06289	+	1.06289i	−0.0462565	+	0.0462565i
$529$	0.811154	−	0.263560i	0.0352676	−	0.0114591i
$530$	1.18017	+	25.1724i	0.0512633	+	1.09342i
$531$	−7.35237	+	5.34181i	−0.319066	+	0.231815i
$532$	19.1969	+	19.1969i	0.832291	+	0.832291i
$533$	−25.0442	−	25.0442i	−1.08478	−	1.08478i
$534$	1.07771	+	1.48334i	0.0466371	+	0.0641905i
$535$	13.6771	−	7.79631i	0.591314	−	0.337064i
$536$	−9.00449	−	6.54215i	−0.388935	−	0.282578i
$537$	2.44541	−	4.79939i	0.105527	−	0.207109i
$538$	−6.25615	−	0.990876i	−0.269722	−	0.0427197i
$539$	−4.40949	−	13.5710i	−0.189930	−	0.584546i
$540$	−1.65345	−	1.50536i	−0.0711532	−	0.0647802i
$541$	4.53810	+	3.29712i	0.195108	+	0.141754i	0.681050	−	0.732237i	$-0.261523\pi$
$541$	4.53810	+	3.29712i	0.195108	+	0.141754i	−0.485942	+	0.873991i	$0.661523\pi$
$542$	−11.5366	−	22.6419i	−0.495541	−	0.972555i
$543$	2.77105	+	5.43850i	0.118917	+	0.233388i
$544$	0.169425	+	0.123094i	0.00726402	+	0.00527762i
$545$	−1.17126	−	24.9825i	−0.0501714	−	1.07013i
$546$	−5.76749	−	17.7505i	−0.246826	−	0.759651i
$547$	1.73084	+	0.274139i	0.0740055	+	0.0117213i	0.193327	−	0.981134i	$-0.438072\pi$
$547$	1.73084	+	0.274139i	0.0740055	+	0.0117213i	−0.119322	+	0.992856i	$0.538072\pi$
$548$	7.43073	−	14.5836i	0.317425	−	0.622982i
$549$	6.71954	+	4.88203i	0.286783	+	0.208360i
$550$	−4.79392	+	5.78838i	−0.204414	+	0.246817i
$551$	15.5914	+	21.4598i	0.664218	+	0.914217i
$552$	−3.32769	−	3.32769i	−0.141636	−	0.141636i
$553$	41.2796	+	41.2796i	1.75539	+	1.75539i
$554$	−5.32328	+	3.86759i	−0.226165	+	0.164318i
$555$	1.49634	−	0.0701535i	0.0635161	−	0.00297785i
$556$	4.19381	−	1.36265i	0.177857	−	0.0577893i
$557$	7.32566	−	7.32566i	0.310398	−	0.310398i	−0.534666	−	0.845064i	$-0.679562\pi$
$557$	7.32566	−	7.32566i	0.310398	−	0.310398i	0.845064	+	0.534666i	$0.179562\pi$
$558$	0.512598	+	5.54412i	0.0217000	+	0.234701i
$559$			56.4101i			2.38589i
$560$	−9.02590	−	0.998980i	−0.381414	−	0.0422146i
$561$	−0.299384	−	0.0972759i	−0.0126400	−	0.00410699i
$562$	−20.3339	−	3.22057i	−0.857732	−	0.135851i
$563$	27.3198	−	27.3198i	1.15139	−	1.15139i	0.165118	−	0.986274i	$-0.447200\pi$
$563$	27.3198	−	27.3198i	1.15139	−	1.15139i	0.986274	−	0.165118i	$-0.0528004\pi$
$564$	6.99883			0.294704
$565$	0.979819	−	0.202630i	0.0412213	−	0.00852471i
$566$	3.78347	+	2.74885i	0.159031	+	0.115543i
$567$	0.635304	+	4.01115i	0.0266803	+	0.168453i
$568$	9.07783	+	4.62538i	0.380897	+	0.194077i
$569$	8.28046	−	6.01610i	0.347135	−	0.252208i	−0.400531	−	0.916283i	$-0.631174\pi$
$569$	8.28046	−	6.01610i	0.347135	−	0.252208i	0.747666	+	0.664075i	$0.231174\pi$
$570$	−11.6684	+	9.34289i	−0.488736	+	0.391331i
$571$	13.1294	+	4.26601i	0.549450	+	0.178527i	0.570569	−	0.821250i	$-0.306723\pi$
$571$	13.1294	+	4.26601i	0.549450	+	0.178527i	−0.0211190	+	0.999777i	$0.506723\pi$
$572$	−1.08067	−	6.82306i	−0.0451849	−	0.285286i
$573$	−6.06517	+	3.09036i	−0.253376	+	0.129102i
$574$	29.7662	+	9.67161i	1.24242	+	0.403685i
$575$	−18.1222	−	15.0088i	−0.755748	−	0.625909i
$576$	0.309017	−	0.951057i	0.0128757	−	0.0396274i
$577$	7.48956	−	14.6991i	0.311794	−	0.611931i	−0.680929	−	0.732350i	$-0.738424\pi$
$577$	7.48956	−	14.6991i	0.311794	−	0.611931i	0.992723	+	0.120419i	$0.0384237\pi$
$578$	2.65253	−	16.7474i	0.110331	−	0.696599i
$579$	2.51852	+	7.75121i	0.104666	+	0.322129i
$580$	−8.55759	−	2.34362i	−0.355334	−	0.0973135i
$581$	26.6840	−	36.7274i	1.10704	−	1.52371i
$582$	−2.68177	+	16.9320i	−0.111163	+	0.701854i
$583$	11.9786	−	11.9786i	0.496103	−	0.496103i
$584$	10.0658			0.416527
$585$	10.0634	−	2.08115i	0.416072	−	0.0860451i
$586$	−3.85762	+	11.8725i	−0.159357	+	0.490449i
$587$	−18.6878	−	9.52191i	−0.771328	−	0.393011i	0.0235947	−	0.999722i	$-0.492489\pi$
$587$	−18.6878	−	9.52191i	−0.771328	−	0.393011i	−0.794923	+	0.606710i	$0.792489\pi$
$588$	6.71254	+	6.71254i	0.276821	+	0.276821i
$589$	37.1418	+	2.41329i	1.53040	+	0.0994378i
$590$	−18.5187	−	8.36766i	−0.762404	−	0.344491i
$591$	1.73921	+	5.35275i	0.0715417	+	0.220183i
$592$	0.304137	+	0.596902i	0.0124999	+	0.0245325i
$593$	−2.46155	+	15.5416i	−0.101084	+	0.638217i	0.884176	+	0.467153i	$0.154720\pi$
$593$	−2.46155	+	15.5416i	−0.101084	+	0.638217i	−0.985260	+	0.171064i	$0.945280\pi$
$594$			1.50316i			0.0616753i
$595$	−0.671731	−	1.77916i	−0.0275383	−	0.0729386i
$596$	11.8485	−	8.60843i	0.485333	−	0.352615i
$597$	−0.858393	−	5.41968i	−0.0351317	−	0.221813i
$598$	21.3616	−	3.38334i	0.873540	−	0.138355i
$599$	4.59916	−	1.49436i	0.187917	−	0.0610579i	−0.213547	−	0.976933i	$-0.568502\pi$
$599$	4.59916	−	1.49436i	0.187917	−	0.0610579i	0.401464	+	0.915875i	$0.368502\pi$
$600$	1.09340	−	4.87898i	0.0446378	−	0.199184i
$601$	−17.8065	+	5.78568i	−0.726342	+	0.236003i	−0.648771	−	0.760984i	$-0.724717\pi$
$601$	−17.8065	+	5.78568i	−0.726342	+	0.236003i	−0.0775715	+	0.996987i	$0.524717\pi$
$602$	−22.6307	−	44.4152i	−0.922358	−	1.81023i
$603$	−10.9931	+	1.74114i	−0.447675	+	0.0709048i
$604$	1.32935	−	4.09131i	0.0540904	−	0.166473i
$605$	−19.5229	+	0.915302i	−0.793721	+	0.0372123i
$606$	−7.64670	+	10.5248i	−0.310626	+	0.427540i
$607$	−9.73535	+	4.96041i	−0.395146	+	0.201337i	−0.640261	−	0.768157i	$-0.721174\pi$
$607$	−9.73535	+	4.96041i	−0.395146	+	0.201337i	0.245116	+	0.969494i	$0.421174\pi$
$608$	−5.95631	−	3.03489i	−0.241560	−	0.123081i
$609$	9.47194	+	13.0370i	0.383822	+	0.528286i
$610$	−2.04310	+	18.4596i	−0.0827226	+	0.747409i
$611$	−18.9060	+	26.0219i	−0.764854	+	1.05273i
$612$	0.206842	−	0.0327605i	0.00836109	−	0.00132427i
$613$	−24.3885	−	3.86275i	−0.985041	−	0.156015i	−0.356923	−	0.934134i	$-0.616174\pi$
$613$	−24.3885	−	3.86275i	−0.985041	−	0.156015i	−0.628117	+	0.778119i	$0.716174\pi$
$614$		−	12.2299i		−	0.493560i
$615$	−7.09580	+	15.7039i	−0.286130	+	0.633244i
$616$	3.58817	+	4.93869i	0.144571	+	0.198985i
$617$	−25.9942	+	13.2447i	−1.04649	+	0.533211i	−0.890706	−	0.454580i	$-0.849789\pi$
$617$	−25.9942	+	13.2447i	−1.04649	+	0.533211i	−0.155780	+	0.987792i	$0.549789\pi$
$618$	1.86284	−	3.65603i	0.0749345	−	0.147067i
$619$	34.2733			1.37756			0.688781	−	0.724970i	$-0.258146\pi$
$619$	34.2733			1.37756			0.688781	+	0.724970i	$0.258146\pi$
$620$	−10.2025	+	7.13504i	−0.409743	+	0.286550i
$621$	−4.70607			−0.188848
$622$	0.492141	−	0.965881i	0.0197331	−	0.0387283i
$623$	6.63459	−	3.38049i	0.265809	−	0.135437i
$624$	2.70130	+	3.71803i	0.108139	+	0.148840i
$625$	3.16059	−	24.7994i	0.126424	−	0.991976i
$626$		−	15.4944i		−	0.619280i
$627$	9.92478	+	1.57193i	0.396358	+	0.0627769i
$628$	1.75429	−	0.277853i	0.0700040	−	0.0110875i
$629$	−0.0824631	+	0.113501i	−0.00328802	+	0.00452557i
$630$	−7.08866	+	5.67589i	−0.282419	+	0.226133i
$631$	4.65823	+	6.41151i	0.185441	+	0.255238i	0.891609	−	0.452807i	$-0.149577\pi$
$631$	4.65823	+	6.41151i	0.185441	+	0.255238i	−0.706167	+	0.708045i	$0.749577\pi$
$632$	−12.8080	−	6.52601i	−0.509476	−	0.259591i
$633$	−10.3797	+	5.28874i	−0.412558	+	0.210209i
$634$	−9.38933	+	12.9233i	−0.372898	+	0.513250i
$635$	19.7437	−	21.6860i	0.783503	−	0.860584i
$636$	−3.48257	+	10.7182i	−0.138093	+	0.425006i
$637$	−43.0900	+	6.82479i	−1.70729	+	0.270408i
$638$	2.70783	+	5.31442i	0.107204	+	0.210400i
$639$	9.68963	−	3.14835i	0.383316	−	0.124547i
$640$	2.18973	−	0.452844i	0.0865568	−	0.0179002i
$641$	4.32417	−	1.40501i	0.170794	−	0.0554945i	−0.222371	−	0.974962i	$-0.571380\pi$
$641$	4.32417	−	1.40501i	0.170794	−	0.0554945i	0.393166	+	0.919468i	$0.371380\pi$
$642$	6.95386	−	1.10138i	0.274447	−	0.0434681i
$643$	−6.94759	−	43.8653i	−0.273986	−	1.72988i	−0.613865	−	0.789411i	$-0.710386\pi$
$643$	−6.94759	−	43.8653i	−0.273986	−	1.72988i	0.339879	−	0.940469i	$-0.389614\pi$
$644$	−15.4620	+	11.2338i	−0.609288	+	0.442674i
$645$	25.6773	−	9.69459i	1.01104	−	0.381724i
$646$		−	1.39996i		−	0.0550807i
$647$	4.42870	−	27.9617i	0.174110	−	1.09929i	−0.733567	−	0.679618i	$-0.762146\pi$
$647$	4.42870	−	27.9617i	0.174110	−	1.09929i	0.907677	−	0.419670i	$-0.137854\pi$
$648$	−0.453990	−	0.891007i	−0.0178344	−	0.0350020i
$649$	4.22140	+	12.9921i	0.165704	+	0.509986i
$650$	15.1866	+	17.2449i	0.595667	+	0.676401i
$651$	22.5640	+	1.46609i	0.884352	+	0.0574607i
$652$	−14.8139	−	14.8139i	−0.580157	−	0.580157i
$653$	−12.3487	−	6.29200i	−0.483244	−	0.246225i	0.195357	−	0.980732i	$-0.437413\pi$
$653$	−12.3487	−	6.29200i	−0.483244	−	0.246225i	−0.678601	+	0.734507i	$0.737413\pi$
$654$	3.45629	−	10.6374i	0.135151	−	0.415953i
$655$	−17.3122	−	11.3788i	−0.676445	−	0.444608i
$656$	−7.70668			−0.300895
$657$	7.11761	−	7.11761i	0.277685	−	0.277685i
$658$	4.44639	−	28.0734i	0.173338	−	1.09442i
$659$	−9.54558	+	13.1384i	−0.371843	+	0.511798i	−0.953401	−	0.301707i	$-0.902444\pi$
$659$	−9.54558	+	13.1384i	−0.371843	+	0.511798i	0.581558	+	0.813505i	$0.302444\pi$
$660$	−2.92007	+	1.66451i	−0.113664	+	0.0647911i
$661$	1.50109	+	4.61988i	0.0583856	+	0.179693i	0.975996	−	0.217789i	$-0.0698844\pi$
$661$	1.50109	+	4.61988i	0.0583856	+	0.179693i	−0.917610	+	0.397481i	$0.869884\pi$
$662$	0.115330	−	0.728162i	0.00448241	−	0.0283008i
$663$	−0.436938	+	0.857540i	−0.0169693	+	0.0333041i
$664$	−3.45434	+	10.6314i	−0.134054	+	0.412577i
$665$	30.0628	+	52.7394i	1.16578	+	2.04514i
$666$	0.637131	+	0.207016i	0.0246883	+	0.00802172i
$667$	−16.6384	+	8.47766i	−0.644240	+	0.328256i
$668$	2.27030	+	14.3341i	0.0878404	+	0.554603i
$669$	−19.8615	−	6.45339i	−0.767890	−	0.249503i
$670$	−15.5556	−	19.4275i	−0.600964	−	0.750549i
$671$	10.1005	−	7.33846i	0.389927	−	0.283298i
$672$	−3.61851	−	1.84373i	−0.139587	−	0.0711232i
$673$	5.33638	+	33.6926i	0.205702	+	1.29875i	0.847054	+	0.531507i	$0.178374\pi$
$673$	5.33638	+	33.6926i	0.205702	+	1.29875i	−0.641352	+	0.767247i	$0.721626\pi$
$674$	−25.3756	−	18.4365i	−0.977433	−	0.710147i
$675$	−2.67681	−	4.22311i	−0.103031	−	0.162548i
$676$	−8.12077			−0.312337
$677$	9.62328	−	9.62328i	0.369853	−	0.369853i	−0.497571	−	0.867423i	$-0.665775\pi$
$677$	9.62328	−	9.62328i	0.369853	−	0.369853i	0.867423	+	0.497571i	$0.165775\pi$
$678$	0.441952	+	0.0699982i	0.0169730	+	0.00268827i
$679$	66.2131	+	21.5139i	2.54103	+	0.825630i
$680$	0.292687	+	0.365539i	0.0112240	+	0.0140178i
$681$			23.0339i			0.882660i
$682$	8.16390	+	1.84245i	0.312612	+	0.0705509i
$683$	12.5835	−	12.5835i	0.481496	−	0.481496i	−0.424113	−	0.905609i	$-0.639414\pi$
$683$	12.5835	−	12.5835i	0.481496	−	0.481496i	0.905609	+	0.424113i	$0.139414\pi$
$684$	−6.35774	+	2.06576i	−0.243094	+	0.0789862i
$685$	24.6391	−	27.0630i	0.941410	−	1.03403i
$686$	8.19075	−	5.95093i	0.312724	−	0.227208i
$687$	11.2802	+	11.2802i	0.430368	+	0.430368i
$688$	8.67934	+	8.67934i	0.330897	+	0.330897i
$689$	−30.4432	−	41.9015i	−1.15979	−	1.59632i
$690$	−5.21125	−	9.14212i	−0.198389	−	0.348035i
$691$	−28.0683	−	20.3928i	−1.06777	−	0.775780i	−0.0922600	−	0.995735i	$-0.529409\pi$
$691$	−28.0683	−	20.3928i	−1.06777	−	0.775780i	−0.975510	+	0.219955i	$0.929409\pi$
$692$	5.36085	−	10.5213i	0.203789	−	0.399958i
$693$	6.02939	+	0.954962i	0.229038	+	0.0362760i
$694$	−0.273778	−	0.842601i	−0.0103925	−	0.0319847i
$695$	9.84942	−	0.461774i	0.373610	−	0.0175161i
$696$	−3.21017	−	2.33233i	−0.121681	−	0.0884067i
$697$	−0.732711	−	1.43803i	−0.0277534	−	0.0544691i
$698$	2.06512	+	4.05302i	0.0781658	+	0.153409i
$699$	−16.4408	−	11.9450i	−0.621850	−	0.451800i
$700$	−18.8757	−	7.48543i	−0.713435	−	0.282923i
$701$	−3.45116	−	10.6216i	−0.130348	−	0.401171i	0.864489	−	0.502651i	$-0.167642\pi$
$701$	−3.45116	−	10.6216i	−0.130348	−	0.401171i	−0.994838	+	0.101480i	$0.967642\pi$
$702$	4.53915	+	0.718931i	0.171319	+	0.0271343i
$703$	2.03313	−	3.99025i	0.0766811	−	0.150495i
$704$	−1.21608	−	0.883534i	−0.0458327	−	0.0332994i
$705$	15.0941	+	4.13373i	0.568475	+	0.155685i
$706$	4.08066	+	5.61655i	0.153578	+	0.211382i
$707$	37.3585	+	37.3585i	1.40501	+	1.40501i
$708$	−6.42621	−	6.42621i	−0.241512	−	0.241512i
$709$	2.80796	−	2.04010i	0.105455	−	0.0766177i	−0.533808	−	0.845606i	$-0.679239\pi$
$709$	2.80796	−	2.04010i	0.105455	−	0.0766177i	0.639263	+	0.768988i	$0.279239\pi$
$710$	16.8458	+	15.3370i	0.632213	+	0.575587i
$711$	−13.6712	+	4.44205i	−0.512711	+	0.166590i
$712$	−1.29649	+	1.29649i	−0.0485880	+	0.0485880i
$713$	−5.76831	+	25.5595i	−0.216025	+	0.957210i
$714$		−	0.850488i		−	0.0318287i
$715$	1.69929	−	15.3533i	0.0635497	−	0.574179i
$716$	5.12285	+	1.66452i	0.191450	+	0.0622058i
$717$	−8.44996	−	1.33834i	−0.315569	−	0.0499813i
$718$	23.2940	−	23.2940i	0.869325	−	0.869325i
$719$	−39.6582			−1.47900			−0.739500	−	0.673157i	$-0.764938\pi$
$719$	−39.6582			−1.47900			−0.739500	+	0.673157i	$0.764938\pi$
$720$	1.22817	−	1.86858i	0.0457710	−	0.0696380i
$721$	−13.4814	−	9.79484i	−0.502075	−	0.364779i
$722$	4.01853	+	25.3720i	0.149554	+	0.944248i
$723$	7.33665	+	3.73821i	0.272853	+	0.139025i
$724$	−4.93805	+	3.58771i	−0.183521	+	0.133336i
$725$	−17.0715	−	10.1087i	−0.634021	−	0.375430i
$726$	−8.31273	−	2.70097i	−0.308514	−	0.100242i
$727$	−7.43002	−	46.9113i	−0.275564	−	1.73984i	−0.605504	−	0.795843i	$-0.707028\pi$
$727$	−7.43002	−	46.9113i	−0.275564	−	1.73984i	0.329939	−	0.944002i	$-0.392972\pi$
$728$	16.6297	−	8.47327i	0.616339	−	0.314040i
$729$	−0.951057	−	0.309017i	−0.0352243	−	0.0114451i
$730$	21.7085	+	5.94519i	0.803468	+	0.220041i
$731$	−0.794333	+	2.44471i	−0.0293795	+	0.0904207i
$732$	−3.77076	+	7.40053i	−0.139371	+	0.273532i
$733$	5.53391	−	34.9397i	0.204400	−	1.29053i	−0.645572	−	0.763700i	$-0.723381\pi$
$733$	5.53391	−	34.9397i	0.204400	−	1.29053i	0.849971	−	0.526829i	$-0.176619\pi$
$734$	3.58506	+	11.0337i	0.132327	+	0.407261i
$735$	10.5120	+	18.4413i	0.387741	+	0.680216i
$736$	2.76616	−	3.80729i	0.101962	−	0.140339i
$737$	−2.61721	+	16.5244i	−0.0964061	+	0.608684i
$738$	−5.44944	+	5.44944i	−0.200597	+	0.200597i
$739$	10.4127			0.383038			0.191519	−	0.981489i	$-0.438659\pi$
$739$	10.4127			0.383038			0.191519	+	0.981489i	$0.438659\pi$
$740$	0.303369	+	1.46694i	0.0111521	+	0.0539259i
$741$	9.49367	−	29.2185i	0.348759	−	1.07337i
$742$	40.7800	+	20.7785i	1.49708	+	0.762801i
$743$	8.56591	+	8.56591i	0.314253	+	0.314253i	0.846555	−	0.532302i	$-0.178673\pi$
$743$	8.56591	+	8.56591i	0.314253	+	0.314253i	−0.532302	+	0.846555i	$0.678673\pi$
$744$	−5.39567	+	1.37358i	−0.197815	+	0.0503578i
$745$	30.6375	−	11.5673i	1.12247	−	0.423794i
$746$	−5.14864	−	15.8459i	−0.188505	−	0.580159i
$747$	5.07493	+	9.96010i	0.185682	+	0.364421i
$748$	0.0492442	−	0.310916i	0.00180055	−	0.0113682i
$749$		−	28.5927i		−	1.04476i
$750$	5.23976	−	9.87648i	0.191329	−	0.360638i
$751$	−6.89413	+	5.00888i	−0.251570	+	0.182777i	−0.706423	−	0.707790i	$-0.749692\pi$
$751$	−6.89413	+	5.00888i	−0.251570	+	0.182777i	0.454852	+	0.890567i	$0.349692\pi$
$752$	1.09486	+	6.91267i	0.0399254	+	0.252079i
$753$	−15.9154	+	2.52076i	−0.579991	+	0.0918615i
$754$	17.3433	−	5.63518i	0.631606	−	0.205221i
$755$	5.28339	−	8.03838i	0.192282	−	0.292547i
$756$	−3.86239	+	1.25497i	−0.140474	+	0.0456427i
$757$	−9.05273	−	17.7670i	−0.329027	−	0.645752i	0.665934	−	0.746010i	$-0.268033\pi$
$757$	−9.05273	−	17.7670i	−0.329027	−	0.645752i	−0.994961	+	0.100258i	$0.968033\pi$
$758$	18.2067	−	2.88366i	0.661299	−	0.104739i
$759$	−2.18597	+	6.72774i	−0.0793459	+	0.244201i
$760$	−11.0532	−	10.0632i	−0.400942	−	0.365031i
$761$	−13.8519	+	19.0655i	−0.502130	+	0.691123i	−0.982568	−	0.185906i	$-0.940478\pi$
$761$	−13.8519	+	19.0655i	−0.502130	+	0.691123i	0.480437	+	0.877029i	$0.340478\pi$
$762$	11.6861	−	5.95436i	0.423343	−	0.215704i
$763$	−40.4723	−	20.6217i	−1.46519	−	0.746554i
$764$	−4.00111	−	5.50706i	−0.144755	−	0.199238i
$765$	0.465436	+	0.0515141i	0.0168279	+	0.00186249i
$766$	−14.4285	+	19.8591i	−0.521323	+	0.717539i
$767$	41.2520	−	6.53367i	1.48952	−	0.235917i
$768$	0.987688	+	0.156434i	0.0356401	+	0.00564484i
$769$			36.6940i			1.32322i	0.749848	+	0.661610i	$0.230127\pi$
$769$			36.6940i			1.32322i	−0.749848	+	0.661610i	$0.769873\pi$
$770$	4.82149	+	12.7703i	0.173754	+	0.460210i
$771$	6.38515	+	8.78840i	0.229955	+	0.316507i
$772$	−7.26180	+	3.70007i	−0.261358	+	0.133168i
$773$	18.5714	−	36.4485i	0.667968	−	1.31096i	−0.269538	−	0.962990i	$-0.586871\pi$
$773$	18.5714	−	36.4485i	0.667968	−	1.31096i	0.937505	−	0.347971i	$-0.113129\pi$
$774$	12.2744			0.441196
$775$	−26.2175	+	9.36189i	−0.941759	+	0.336289i
$776$	−17.1431			−0.615400
$777$	1.23515	−	2.42411i	0.0443106	−	0.0869645i
$778$	−9.90733	+	5.04804i	−0.355195	+	0.180981i
$779$	30.2819	+	41.6794i	1.08496	+	1.49332i
$780$	3.62980	+	9.61397i	0.129968	+	0.344235i
$781$		−	15.3146i		−	0.547999i
$782$	0.973413	+	0.154173i	0.0348092	+	0.00551323i
$783$	−3.91914	+	0.620731i	−0.140059	+	0.0221831i
$784$	−5.57983	+	7.67997i	−0.199280	+	0.274285i
$785$	3.94752	+	0.436908i	0.140893	+	0.0155939i
$786$	−5.44577	−	7.49546i	−0.194244	−	0.267354i
$787$	41.4581	+	21.1239i	1.47782	+	0.752987i	0.992603	−	0.121407i	$-0.0387405\pi$
$787$	41.4581	+	21.1239i	1.47782	+	0.752987i	0.485217	+	0.874394i	$0.338740\pi$
$788$	−5.01478	+	2.55516i	−0.178644	+	0.0910237i
$789$	15.1431	−	20.8427i	0.539108	−	0.742019i
$790$	−23.7680	−	21.6392i	−0.845628	−	0.769887i
$791$	0.561548	−	1.72827i	0.0199663	−	0.0614500i
$792$	−1.48465	+	0.235146i	−0.0527548	+	0.00835553i
$793$	−17.3294	−	34.0109i	−0.615385	−	1.20776i
$794$	4.28353	−	1.39180i	0.152017	−	0.0493932i
$795$	−13.8412	+	21.0586i	−0.490897	+	0.746872i
$796$	5.21867	−	1.69565i	0.184971	−	0.0601007i
$797$	−25.4321	+	4.02805i	−0.900852	+	0.142681i	−0.589646	−	0.807661i	$-0.700733\pi$
$797$	−25.4321	+	4.02805i	−0.900852	+	0.142681i	−0.311206	+	0.950342i	$0.600733\pi$
$798$	4.24696	+	26.8143i	0.150341	+	0.949215i
$799$	−1.18577	+	0.861515i	−0.0419497	+	0.0304782i
$800$	4.98996	+	0.316695i	0.176422	+	0.0111969i
$801$			1.83351i			0.0647840i
$802$	0.660896	−	4.17273i	0.0233370	−	0.147344i
$803$	−6.86911	−	13.4814i	−0.242406	−	0.475748i
$804$	−3.43941	−	10.5854i	−0.121299	−	0.373319i
$805$	−39.9812	+	15.0951i	−1.40915	+	0.532032i
$806$	9.46835	−	23.7717i	0.333509	−	0.837323i
$807$	−4.47891	−	4.47891i	−0.157665	−	0.157665i
$808$	−11.5914	−	5.90612i	−0.407784	−	0.207777i
$809$	8.68074	−	26.7166i	0.305199	−	0.939304i	−0.674405	−	0.738362i	$-0.735600\pi$
$809$	8.68074	−	26.7166i	0.305199	−	0.939304i	0.979603	−	0.200942i	$-0.0644004\pi$
$810$	−0.452844	−	2.18973i	−0.0159113	−	0.0769394i
$811$	−12.9352			−0.454218			−0.227109	−	0.973869i	$-0.572927\pi$
$811$	−12.9352			−0.454218			−0.227109	+	0.973869i	$0.572927\pi$
$812$	−11.3948	+	11.3948i	−0.399878	+	0.399878i
$813$	3.97526	−	25.0988i	0.139418	−	0.880253i
$814$	0.591896	−	0.814675i	0.0207459	−	0.0285543i
$815$	−23.1989	−	40.6980i	−0.812623	−	1.42559i
$816$	0.0647144	+	0.199170i	0.00226546	+	0.00697236i
$817$	12.8360	−	81.0435i	0.449076	−	2.83535i
$818$	6.38608	−	12.5334i	0.223284	−	0.438220i
$819$	5.76749	−	17.7505i	0.201532	−	0.620253i
$820$	−16.6206	−	4.55180i	−0.580418	−	0.158956i
$821$	32.5279	+	10.5690i	1.13523	+	0.368859i	0.815562	−	0.578670i	$-0.196428\pi$
$821$	32.5279	+	10.5690i	1.13523	+	0.368859i	0.319670	+	0.947529i	$0.396428\pi$
$822$	14.5836	−	7.43073i	0.508663	−	0.259177i
$823$	−0.437966	−	2.76521i	−0.0152665	−	0.0963890i	0.978879	−	0.204443i	$-0.0655382\pi$
$823$	−0.437966	−	2.76521i	−0.0152665	−	0.0963890i	−0.994145	+	0.108054i	$0.965538\pi$
$824$	3.90243	+	1.26798i	0.135948	+	0.0441721i
$825$	−7.28069	+	1.86510i	−0.253481	+	0.0649344i
$826$	−29.8591	+	21.6939i	−1.03893	+	0.754828i
$827$	46.7717	+	23.8314i	1.62641	+	0.828698i	0.998738	+	0.0502216i	$0.0159927\pi$
$827$	46.7717	+	23.8314i	1.62641	+	0.828698i	0.627674	+	0.778477i	$0.284007\pi$
$828$	−0.736192	−	4.64813i	−0.0255844	−	0.161534i
$829$	12.9537	+	9.41144i	0.449902	+	0.326873i	0.789557	−	0.613677i	$-0.210310\pi$
$829$	12.9537	+	9.41144i	0.449902	+	0.326873i	−0.339655	+	0.940550i	$0.610310\pi$
$830$	−13.7290	+	20.8879i	−0.476542	+	0.725031i
$831$	−6.57994			−0.228256
$832$	−3.24967	+	3.24967i	−0.112662	+	0.112662i
$833$	−1.96354	−	0.310995i	−0.0680328	−	0.0107753i
$834$	4.19381	+	1.36265i	0.145220	+	0.0471848i
$835$	−3.56991	+	32.2546i	−0.123542	+	1.11622i
$836$			10.0485i			0.347535i
$837$	−2.84405	+	4.78658i	−0.0983048	+	0.165449i
$838$	6.98594	−	6.98594i	0.241325	−	0.241325i
$839$	−10.0429	+	3.26314i	−0.346720	+	0.112656i	−0.477200	−	0.878795i	$-0.658348\pi$
$839$	−10.0429	+	3.26314i	−0.346720	+	0.112656i	0.130480	+	0.991451i	$0.458348\pi$
$840$	−6.71492	−	6.11348i	−0.231687	−	0.210935i
$841$	10.7235	−	7.79111i	0.369777	−	0.268659i
$842$	−11.2830	−	11.2830i	−0.388837	−	0.388837i
$843$	−14.5574	−	14.5574i	−0.501385	−	0.501385i
$844$	−6.84738	−	9.42461i	−0.235696	−	0.324408i
$845$	−17.5137	−	4.79637i	−0.602489	−	0.165000i
$846$	5.66218	+	4.11381i	0.194670	+	0.141436i
$847$	−16.1151	+	31.6277i	−0.553722	+	1.08674i
$848$	−11.1311	−	1.76299i	−0.382243	−	0.0605413i
$849$	1.44516	+	4.44774i	0.0495977	+	0.152646i
$850$	0.415326	+	0.961210i	0.0142456	+	0.0329692i
$851$	2.55058	+	1.85310i	0.0874326	+	0.0635235i
$852$	4.62538	+	9.07783i	0.158463	+	0.311001i
$853$	8.87942	+	17.4268i	0.304026	+	0.596684i	0.991587	−	0.129443i	$-0.0413188\pi$
$853$	8.87942	+	17.4268i	0.304026	+	0.596684i	−0.687561	+	0.726126i	$0.741319\pi$
$854$	27.2891	+	19.8267i	0.933814	+	0.678455i
$855$	−14.9316	+	0.700042i	−0.510648	+	0.0239409i
$856$	2.17565	+	6.69595i	0.0743621	+	0.228863i
$857$	47.7997	+	7.57073i	1.63281	+	0.258611i	0.904448	−	0.426584i	$-0.140283\pi$
$857$	47.7997	+	7.57073i	1.63281	+	0.258611i	0.728359	+	0.685195i	$0.240283\pi$
$858$	3.13622	−	6.15517i	0.107069	−	0.210134i
$859$	−12.6272	−	9.17420i	−0.430835	−	0.313020i	0.351148	−	0.936320i	$-0.385791\pi$
$859$	−12.6272	−	9.17420i	−0.430835	−	0.313020i	−0.781983	+	0.623300i	$0.785791\pi$
$860$	13.5920	+	23.8446i	0.463485	+	0.813095i
$861$	18.3965	+	25.3206i	0.626951	+	0.862924i
$862$	−17.8227	−	17.8227i	−0.607043	−	0.607043i
$863$	−0.407539	−	0.407539i	−0.0138728	−	0.0138728i	0.700136	−	0.714009i	$-0.253123\pi$
$863$	−0.407539	−	0.407539i	−0.0138728	−	0.0138728i	−0.714009	+	0.700136i	$0.753123\pi$
$864$	0.809017	−	0.587785i	0.0275233	−	0.0199969i
$865$	17.7757	−	19.5244i	0.604391	−	0.663851i
$866$	16.8685	−	5.48090i	0.573215	−	0.186249i
$867$	11.9898	−	11.9898i	0.407195	−	0.407195i
$868$	2.08174	+	22.5155i	0.0706588	+	0.764226i
$869$			21.6076i			0.732986i
$870$	−5.54569	−	6.92605i	−0.188016	−	0.234815i
$871$	48.6477	+	15.8066i	1.64837	+	0.535587i
$872$	11.0471	+	1.74968i	0.374101	+	0.0592518i
$873$	−12.1220	+	12.1220i	−0.410267	+	0.410267i
$874$	−31.4597			−1.06414
$875$	−36.2873	−	27.2921i	−1.22673	−	0.922640i
$876$	8.14342	+	5.91654i	0.275141	+	0.199901i
$877$	4.26345	+	26.9184i	0.143967	+	0.908969i	0.948894	+	0.315596i	$0.102204\pi$
$877$	4.26345	+	26.9184i	0.143967	+	0.908969i	−0.804927	+	0.593374i	$0.797796\pi$
$878$	−28.3832	−	14.4620i	−0.957887	−	0.488068i
$879$	−10.0994	+	7.33762i	−0.340643	+	0.247492i
$880$	−2.10082	−	2.62373i	−0.0708186	−	0.0884459i
$881$	−7.12410	−	2.31476i	−0.240017	−	0.0779863i	0.186538	−	0.982448i	$-0.440273\pi$
$881$	−7.12410	−	2.31476i	−0.240017	−	0.0779863i	−0.426555	+	0.904461i	$0.640273\pi$
$882$	1.48503	+	9.37609i	0.0500035	+	0.315710i
$883$	18.3861	−	9.36819i	0.618742	−	0.315265i	−0.116375	−	0.993205i	$-0.537127\pi$
$883$	18.3861	−	9.36819i	0.618742	−	0.315265i	0.735117	+	0.677941i	$0.237127\pi$
$884$	−0.915334	−	0.297410i	−0.0307860	−	0.0100030i
$885$	−10.0636	−	17.6546i	−0.338284	−	0.593454i
$886$	10.5033	−	32.3259i	0.352866	−	1.08601i
$887$	−22.7510	+	44.6513i	−0.763904	+	1.49925i	0.0996689	+	0.995021i	$0.468222\pi$
$887$	−22.7510	+	44.6513i	−0.763904	+	1.49925i	−0.863573	+	0.504225i	$0.831778\pi$
$888$	−0.104798	+	0.661671i	−0.00351680	+	0.0222042i
$889$	−16.4596	−	50.6576i	−0.552039	−	1.69900i
$890$	−3.56182	+	2.03033i	−0.119393	+	0.0680569i
$891$	−0.883534	+	1.21608i	−0.0295995	+	0.0407402i
$892$	3.26692	−	20.6265i	0.109384	−	0.690626i
$893$	33.0832	−	33.0832i	1.10709	−	1.10709i
$894$	14.6455			0.489820
$895$	10.0651	+	6.61550i	0.336439	+	0.221132i
$896$	1.25497	−	3.86239i	0.0419255	−	0.129033i
$897$	19.2706	+	9.81884i	0.643425	+	0.327841i
$898$	−12.5359	−	12.5359i	−0.418328	−	0.418328i
$899$	−1.43246	+	22.0464i	−0.0477753	+	0.735287i
$900$	3.75237	−	3.30450i	0.125079	−	0.110150i
$901$	−0.729320	−	2.24462i	−0.0242972	−	0.0747790i
$902$	5.25918	+	10.3217i	0.175112	+	0.343676i
$903$	7.79801	−	49.2347i	0.259501	−	1.63843i
$904$			0.447461i			0.0148823i
$905$	−12.7687	+	4.82087i	−0.424445	+	0.160251i
$906$	3.48028	−	2.52857i	0.115624	−	0.0840060i
$907$	3.71071	+	23.4285i	0.123212	+	0.777930i	0.969480	+	0.245172i	$0.0788445\pi$
$907$	3.71071	+	23.4285i	0.123212	+	0.777930i	−0.846268	+	0.532758i	$0.821156\pi$
$908$	−22.7503	+	3.60329i	−0.754995	+	0.119579i
$909$	−12.3726	+	4.02011i	−0.410374	+	0.133339i
$910$	40.8691	−	8.45188i	1.35480	−	0.280177i
$911$	31.8805	−	10.3586i	1.05625	−	0.343196i	0.271131	−	0.962542i	$-0.412602\pi$
$911$	31.8805	−	10.3586i	1.05625	−	0.343196i	0.785118	+	0.619346i	$0.212602\pi$
$912$	−3.03489	−	5.95631i	−0.100495	−	0.197233i
$913$	16.5961	−	2.62857i	0.549252	−	0.0869930i
$914$	−5.18516	+	15.9583i	−0.171510	+	0.527853i
$915$	−12.5032	+	13.7333i	−0.413343	+	0.454008i
$916$	−9.37674	+	12.9060i	−0.309816	+	0.426425i
$917$	−33.5252	+	17.0819i	−1.10710	+	0.564095i
$918$	0.186595	+	0.0950748i	0.00615855	+	0.00313794i
$919$	−14.7434	−	20.2926i	−0.486341	−	0.669390i	0.493367	−	0.869821i	$-0.335766\pi$
$919$	−14.7434	−	20.2926i	−0.486341	−	0.669390i	−0.979708	+	0.200431i	$0.935766\pi$
$920$	8.21435	−	6.57723i	0.270819	−	0.216845i
$921$	7.18857	−	9.89422i	0.236871	−	0.326026i
$922$	−13.1896	+	2.08903i	−0.434377	+	0.0687986i
$923$	−46.2462	−	7.32467i	−1.52221	−	0.241095i
$924$			6.10455i			0.200825i
$925$	−0.212160	+	3.34287i	−0.00697579	+	0.109913i
$926$	−14.8204	−	20.3985i	−0.487028	−	0.670336i
$927$	3.65603	−	1.86284i	0.120080	−	0.0611838i
$928$	1.80143	−	3.53551i	0.0591349	−	0.116059i
$929$	23.3500			0.766090			0.383045	−	0.923730i	$-0.374875\pi$
$929$	23.3500			0.766090			0.383045	+	0.923730i	$0.374875\pi$
$930$	−12.4479	−	0.224518i	−0.408182	−	0.00736224i
$931$	63.4598			2.07981
$932$	9.22599	−	18.1070i	0.302207	−	0.593116i
$933$	0.965881	−	0.492141i	0.0316215	−	0.0161120i
$934$	−11.3171	−	15.5767i	−0.370307	−	0.509684i
$935$	0.289839	−	0.641453i	0.00947876	−	0.0209777i
$936$			4.59573i			0.150216i
$937$	−34.0673	−	5.39572i	−1.11293	−	0.176271i	−0.427221	−	0.904147i	$-0.640507\pi$
$937$	−34.0673	−	5.39572i	−1.11293	−	0.176271i	−0.685708	+	0.727877i	$0.740507\pi$
$938$	−44.6448	+	7.07104i	−1.45770	+	0.230878i
$939$	9.10737	−	12.5352i	0.297208	−	0.409072i
$940$	−1.72160	+	15.5549i	−0.0561525	+	0.507344i
$941$	−20.1059	−	27.6734i	−0.655434	−	0.902128i	0.343885	−	0.939012i	$-0.388257\pi$
$941$	−20.1059	−	27.6734i	−0.655434	−	0.902128i	−0.999320	+	0.0368840i	$0.988257\pi$
$942$	1.58257	+	0.806361i	0.0515630	+	0.0262727i
$943$	−32.3152	+	16.4654i	−1.05233	+	0.536187i
$944$	5.34181	−	7.35237i	0.173861	−	0.239299i
$945$	−9.07105	+	0.425281i	−0.295081	+	0.0138344i
$946$	5.70149	−	17.5474i	0.185371	−	0.570515i
$947$	14.9492	−	2.36771i	0.485783	−	0.0769404i	0.0912608	−	0.995827i	$-0.470910\pi$
$947$	14.9492	−	2.36771i	0.485783	−	0.0769404i	0.394522	+	0.918887i	$0.370910\pi$
$948$	−6.52601	−	12.8080i	−0.211955	−	0.415985i
$949$	−43.9957	+	14.2951i	−1.42816	+	0.464038i
$950$	−17.8943	−	28.2312i	−0.580568	−	0.915941i
$951$	−15.1923	+	4.93626i	−0.492643	+	0.160069i
$952$	0.840017	−	0.133046i	0.0272251	−	0.00431203i
$953$	−1.04183	−	6.57783i	−0.0337481	−	0.213077i	0.965052	−	0.262060i	$-0.0844019\pi$
$953$	−1.04183	−	6.57783i	−0.0337481	−	0.213077i	−0.998800	+	0.0489833i	$0.984402\pi$
$954$	−9.11748	+	6.62424i	−0.295189	+	0.214468i
$955$	−5.37637	−	14.2400i	−0.173975	−	0.460795i
$956$		−	8.55529i		−	0.276698i
$957$	−0.933056	+	5.89108i	−0.0301614	+	0.190432i
$958$	10.9175	+	21.4269i	0.352729	+	0.692271i
$959$	−20.5408	−	63.2180i	−0.663296	−	2.04142i
$960$	2.03771	+	0.920734i	0.0657667	+	0.0297166i
$961$	22.5107	+	21.3135i	0.726153	+	0.687533i
$962$	−2.17702	−	2.17702i	−0.0701899	−	0.0701899i
$963$	6.27317	+	3.19634i	0.202150	+	0.103001i
$964$	−2.54448	+	7.83110i	−0.0819522	+	0.252223i
$965$	−17.8466	+	3.69073i	−0.574501	+	0.118809i
$966$	−19.1121			−0.614921
$967$	5.95603	−	5.95603i	0.191533	−	0.191533i	−0.604825	−	0.796358i	$-0.706757\pi$
$967$	5.95603	−	5.95603i	0.191533	−	0.191533i	0.796358	+	0.604825i	$0.206757\pi$
$968$	1.36732	−	8.63291i	0.0439473	−	0.277472i
$969$	0.822875	−	1.13259i	0.0264346	−	0.0363841i
$970$	−36.9716	−	10.1252i	−1.18709	−	0.325101i
$971$	−3.63911	−	11.2000i	−0.116785	−	0.359426i	0.875531	−	0.483163i	$-0.160512\pi$
$971$	−3.63911	−	11.2000i	−0.116785	−	0.359426i	−0.992315	+	0.123737i	$0.960512\pi$
$972$	0.156434	−	0.987688i	0.00501764	−	0.0316801i
$973$	8.13015	−	15.9563i	0.260641	−	0.511536i
$974$	−9.91617	+	30.5188i	−0.317734	+	0.977886i
$975$	2.14991	+	22.8779i	0.0688522	+	0.732678i
$976$	−7.89930	−	2.56664i	−0.252850	−	0.0821561i
$977$	7.92061	−	4.03575i	0.253403	−	0.129115i	−0.322676	−	0.946510i	$-0.604582\pi$
$977$	7.92061	−	4.03575i	0.253403	−	0.129115i	0.576078	+	0.817395i	$0.304582\pi$
$978$	−3.27731	−	20.6921i	−0.104797	−	0.661660i
$979$	2.62117	+	0.851669i	0.0837728	+	0.0272194i
$980$	−16.5698	+	13.2674i	−0.529302	+	0.423812i
$981$	9.04867	−	6.57425i	0.288902	−	0.209900i
$982$	−14.8871	−	7.58538i	−0.475068	−	0.242059i
$983$	6.38572	+	40.3179i	0.203673	+	1.28594i	0.851582	+	0.524222i	$0.175644\pi$
$983$	6.38572	+	40.3179i	0.203673	+	1.28594i	−0.647909	+	0.761718i	$0.724356\pi$
$984$	−6.23483	−	4.52987i	−0.198759	−	0.144407i
$985$	−12.3243	+	2.54871i	−0.392685	+	0.0812086i
$986$	0.830978			0.0264637
$987$	20.0983	−	20.0983i	0.639737	−	0.639737i
$988$	30.3439	+	4.80600i	0.965368	+	0.152899i
$989$	54.9372	+	17.8502i	1.74690	+	0.567603i
$990$	−3.34076	−	0.369753i	−0.106176	−	0.0117515i
$991$		−	41.9433i		−	1.33237i	−0.745785	−	0.666187i	$-0.767925\pi$
$991$		−	41.9433i		−	1.33237i	0.745785	−	0.666187i	$-0.232075\pi$
$992$	−2.20074	−	5.11437i	−0.0698734	−	0.162381i
$993$	0.521307	−	0.521307i	0.0165432	−	0.0165432i
$994$	39.3511	−	12.7859i	1.24814	−	0.405545i
$995$	12.2564	−	0.574620i	0.388553	−	0.0182167i
$996$	−9.04359	+	6.57055i	−0.286557	+	0.208196i
$997$	−43.0601	−	43.0601i	−1.36373	−	1.36373i	−0.869112	−	0.494615i	$-0.835309\pi$
$997$	−43.0601	−	43.0601i	−1.36373	−	1.36373i	−0.494615	−	0.869112i	$-0.664691\pi$
$998$	10.5703	+	10.5703i	0.334598	+	0.334598i
$999$	0.393768	+	0.541976i	0.0124583	+	0.0171474i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bj.a.337.4	✓	128
5.3	odd	4		930.2.bj.b.523.12	yes	128
31.23	odd	10		930.2.bj.b.457.12	yes	128
155.23	even	20	inner	930.2.bj.a.643.4	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bj.a.337.4	✓	128	1.1	even	1	trivial
930.2.bj.a.643.4	yes	128	155.23	even	20	inner
930.2.bj.b.457.12	yes	128	31.23	odd	10
930.2.bj.b.523.12	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)

\(f(q)\)	\(=\)	\(q+(-0.453990 + 0.891007i) q^{2} +(-0.891007 + 0.453990i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-0.789819 - 2.09193i) q^{5} -1.00000i q^{6} +(-4.01115 - 0.635304i) q^{7} +(0.987688 - 0.156434i) q^{8} +(0.587785 - 0.809017i) q^{9} +O(q^{10})\)	\(q+(-0.453990 + 0.891007i) q^{2} +(-0.891007 + 0.453990i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-0.789819 - 2.09193i) q^{5} -1.00000i q^{6} +(-4.01115 - 0.635304i) q^{7} +(0.987688 - 0.156434i) q^{8} +(0.587785 - 0.809017i) q^{9} +(2.22250 + 0.245984i) q^{10} +(-0.883534 - 1.21608i) q^{11} +(0.891007 + 0.453990i) q^{12} +(-4.09483 + 2.08642i) q^{13} +(2.38709 - 3.28554i) q^{14} +(1.65345 + 1.50536i) q^{15} +(-0.309017 + 0.951057i) q^{16} +(-0.206842 + 0.0327605i) q^{17} +(0.453990 + 0.891007i) q^{18} +(6.35774 - 2.06576i) q^{19} +(-1.22817 + 1.86858i) q^{20} +(3.86239 - 1.25497i) q^{21} +(1.48465 - 0.235146i) q^{22} +(0.736192 + 4.64813i) q^{23} +(-0.809017 + 0.587785i) q^{24} +(-3.75237 + 3.30450i) q^{25} -4.59573i q^{26} +(-0.156434 + 0.987688i) q^{27} +(1.84373 + 3.61851i) q^{28} +(1.22618 + 3.77379i) q^{29} +(-2.09193 + 0.789819i) q^{30} +(5.17256 + 2.06025i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(1.33932 + 0.682419i) q^{33} +(0.0647144 - 0.199170i) q^{34} +(1.83907 + 8.89284i) q^{35} -1.00000 q^{36} +(0.473704 - 0.473704i) q^{37} +(-1.04575 + 6.60263i) q^{38} +(2.70130 - 3.71803i) q^{39} +(-1.10735 - 1.94262i) q^{40} +(2.38149 + 7.32948i) q^{41} +(-0.635304 + 4.01115i) q^{42} +(5.57248 - 10.9366i) q^{43} +(-0.464501 + 1.42959i) q^{44} +(-2.15665 - 0.590631i) q^{45} +(-4.47574 - 1.45426i) q^{46} +(6.23601 - 3.17740i) q^{47} +(-0.156434 - 0.987688i) q^{48} +(9.02835 + 2.93349i) q^{49} +(-1.24079 - 4.84360i) q^{50} +(0.169425 - 0.123094i) q^{51} +(4.09483 + 2.08642i) q^{52} +(1.76299 + 11.1311i) q^{53} +(-0.809017 - 0.587785i) q^{54} +(-1.84613 + 2.80878i) q^{55} -4.06115 q^{56} +(-4.72696 + 4.72696i) q^{57} +(-3.91914 - 0.620731i) q^{58} +(-8.64323 - 2.80836i) q^{59} +(0.245984 - 2.22250i) q^{60} +8.30581i q^{61} +(-4.18399 + 3.67345i) q^{62} +(-2.87167 + 2.87167i) q^{63} +(0.951057 - 0.309017i) q^{64} +(7.59882 + 6.91822i) q^{65} +(-1.21608 + 0.883534i) q^{66} +(-7.87021 - 7.87021i) q^{67} +(0.148082 + 0.148082i) q^{68} +(-2.76616 - 3.80729i) q^{69} +(-8.75850 - 2.39864i) q^{70} +(8.24249 + 5.98852i) q^{71} +(0.453990 - 0.891007i) q^{72} +(9.94190 + 1.57464i) q^{73} +(0.207016 + 0.637131i) q^{74} +(1.84318 - 4.64787i) q^{75} +(-5.40822 - 3.92930i) q^{76} +(2.77141 + 5.43920i) q^{77} +(2.08642 + 4.09483i) q^{78} +(-11.6294 - 8.44928i) q^{79} +(2.23361 - 0.104719i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(-7.61179 - 1.20559i) q^{82} +(-5.07493 + 9.96010i) q^{83} +(-3.28554 - 2.38709i) q^{84} +(0.231901 + 0.406825i) q^{85} +(7.21474 + 9.93023i) q^{86} +(-2.80579 - 2.80579i) q^{87} +(-1.06289 - 1.06289i) q^{88} +(-1.48334 + 1.07771i) q^{89} +(1.50536 - 1.65345i) q^{90} +(17.7505 - 5.76749i) q^{91} +(3.32769 - 3.32769i) q^{92} +(-5.54412 + 0.512598i) q^{93} +6.99883i q^{94} +(-9.34289 - 11.6684i) q^{95} +(0.951057 + 0.309017i) q^{96} +(-16.9320 - 2.68177i) q^{97} +(-6.71254 + 6.71254i) q^{98} -1.50316 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

Fields

Representations

Groups

Database

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