LMFDB - Embedded newform 637.2.cc.a.5.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [637,2,Mod(5,637)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(637, base_ring=CyclotomicField(84))

chi = DirichletCharacter(H, H._module([58, 63]))

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

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

chi := DirichletCharacter("637.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 637 = 7^{2} \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	637.cc (of order $84$, degree $24$, 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:	$5.08647060876$
Analytic rank:	$0$
Dimension:	$1536$
Relative dimension:	$64$ over $\Q(\zeta_{84})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{84}]$

Embedding invariants

Embedding label			5.5
Character	$\chi$	$=$	637.5
Dual form			637.2.cc.a.255.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.50015 + 2.03263i) q^{2} +(-1.46486 + 2.14855i) q^{3} +(-1.29163 - 4.18737i) q^{4} +(-1.42651 + 1.22761i) q^{5} +(-2.16971 - 6.20067i) q^{6} +(-2.43746 - 1.02898i) q^{7} +(5.68000 + 1.98752i) q^{8} +(-1.37445 - 3.50203i) q^{9} +(-0.355302 - 4.74118i) q^{10} +(-3.35334 + 1.46305i) q^{11} +(10.8888 + 3.35876i) q^{12} +(-3.34038 - 1.35716i) q^{13} +(5.74810 - 3.41083i) q^{14} +(-0.547953 - 4.86322i) q^{15} +(-5.31953 + 3.62679i) q^{16} +(-2.90678 + 2.69709i) q^{17} +(9.18021 + 2.45983i) q^{18} +(7.76117 - 2.07960i) q^{19} +(6.98299 + 4.38771i) q^{20} +(5.78135 - 3.72969i) q^{21} +(2.05668 - 9.01089i) q^{22} +(-1.95387 + 2.10577i) q^{23} +(-12.5907 + 9.29235i) q^{24} +(-0.217308 + 1.44174i) q^{25} +(7.76967 - 4.75382i) q^{26} +(1.93205 + 0.440978i) q^{27} +(-1.16043 + 11.5356i) q^{28} +(0.920002 + 4.03079i) q^{29} +(10.7071 + 6.18177i) q^{30} +(0.523739 - 1.95462i) q^{31} +(0.158141 - 4.22640i) q^{32} +(1.76873 - 9.34798i) q^{33} +(-1.12160 - 9.95446i) q^{34} +(4.74025 - 1.52440i) q^{35} +(-12.8890 + 10.2786i) q^{36} +(-2.76165 - 5.22530i) q^{37} +(-7.41586 + 18.8953i) q^{38} +(7.80911 - 5.18893i) q^{39} +(-10.5425 + 4.13763i) q^{40} +(6.07680 + 2.12636i) q^{41} +(-1.09181 + 17.3465i) q^{42} +(-2.05643 + 4.27022i) q^{43} +(10.4576 + 12.1519i) q^{44} +(6.25980 + 3.30840i) q^{45} +(-1.34916 - 7.13046i) q^{46} +(1.89793 - 2.57161i) q^{47} -16.7420i q^{48} +(4.88239 + 5.01620i) q^{49} +(-2.60454 - 2.60454i) q^{50} +(-1.53683 - 10.1962i) q^{51} +(-1.36838 + 15.7403i) q^{52} +(-10.6697 + 3.29115i) q^{53} +(-3.79471 + 3.26561i) q^{54} +(2.98752 - 6.20366i) q^{55} +(-11.7996 - 10.6891i) q^{56} +(-6.90088 + 19.7216i) q^{57} +(-9.57326 - 4.17677i) q^{58} +(-6.47064 - 5.56844i) q^{59} +(-19.6563 + 8.57596i) q^{60} +(-0.495766 + 1.60723i) q^{61} +(3.18734 + 3.99679i) q^{62} +(-0.253374 + 9.95033i) q^{63} +(-1.71377 - 1.36668i) q^{64} +(6.43116 - 2.16469i) q^{65} +(16.3476 + 17.6186i) q^{66} +(-8.26922 - 2.21573i) q^{67} +(15.0482 + 8.68808i) q^{68} +(-1.66221 - 7.28263i) q^{69} +(-4.01255 + 11.9220i) q^{70} +(-4.34296 - 6.91178i) q^{71} +(-0.846503 - 22.6233i) q^{72} +(4.21940 - 3.11406i) q^{73} +(14.7640 + 2.22532i) q^{74} +(-2.77934 - 2.57885i) q^{75} +(-18.7326 - 29.8128i) q^{76} +(9.67906 - 0.115589i) q^{77} +(-1.16765 + 23.6572i) q^{78} +(-6.00820 + 10.4065i) q^{79} +(3.13607 - 11.7040i) q^{80} +(4.49577 - 4.17147i) q^{81} +(-13.4382 + 9.16203i) q^{82} +(13.2905 - 1.49748i) q^{83} +(-23.0850 - 19.3912i) q^{84} +(0.835564 - 7.41584i) q^{85} +(-5.59483 - 10.5859i) q^{86} +(-10.0080 - 3.92787i) q^{87} +(-21.9548 + 1.64529i) q^{88} +(14.9316 + 6.51459i) q^{89} +(-16.1154 + 7.76077i) q^{90} +(6.74553 + 6.74520i) q^{91} +(11.3413 + 5.46168i) q^{92} +(3.43240 + 3.98852i) q^{93} +(2.37995 + 7.71560i) q^{94} +(-8.51846 + 12.4943i) q^{95} +(8.84898 + 6.53084i) q^{96} +(11.1642 + 11.1642i) q^{97} +(-17.5204 + 2.39906i) q^{98} +(9.73261 + 9.73261i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1536 q - 26 q^{2} - 44 q^{3} - 22 q^{5} - 28 q^{6} - 22 q^{7} - 12 q^{8} - 176 q^{9} - 22 q^{11} - 28 q^{13} - 84 q^{14} - 8 q^{15} - 180 q^{16} - 18 q^{18} - 54 q^{19} - 28 q^{20} - 2 q^{21} - 48 q^{22}+ \cdots - 32 q^{99}+O(q^{100}) $ 1536 * q - 26 * q^2 - 44 * q^3 - 22 * q^5 - 28 * q^6 - 22 * q^7 - 12 * q^8 - 176 * q^9 - 22 * q^11 - 28 * q^13 - 84 * q^14 - 8 * q^15 - 180 * q^16 - 18 * q^18 - 54 * q^19 - 28 * q^20 - 2 * q^21 - 48 * q^22 + 68 * q^24 - 52 * q^26 - 56 * q^27 + 62 * q^28 - 48 * q^29 - 66 * q^31 - 32 * q^32 - 76 * q^33 + 28 * q^34 - 140 * q^35 - 62 * q^37 - 16 * q^39 + 76 * q^40 - 28 * q^41 + 128 * q^42 - 226 * q^44 + 66 * q^45 - 32 * q^46 + 68 * q^47 + 156 * q^50 + 48 * q^52 - 48 * q^53 - 64 * q^54 + 28 * q^55 - 62 * q^57 - 22 * q^58 + 54 * q^59 - 88 * q^60 - 8 * q^61 - 150 * q^63 - 12 * q^65 + 72 * q^66 - 30 * q^67 - 36 * q^68 + 62 * q^70 + 104 * q^71 - 54 * q^72 - 136 * q^73 + 12 * q^74 + 28 * q^76 + 68 * q^78 - 16 * q^79 - 180 * q^80 + 64 * q^81 + 70 * q^83 + 30 * q^84 - 96 * q^85 + 30 * q^86 + 416 * q^87 - 38 * q^89 - 196 * q^91 - 180 * q^92 + 38 * q^93 - 264 * q^94 - 350 * q^96 - 390 * q^98 - 32 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/637\mathbb{Z}\right)^\times$.

$n$	$197$	$248$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{29}{42}\right)$

Coefficient data

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

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

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

$2$	−1.50015	+	2.03263i	−1.06077	+	1.43729i	−0.168543	+	0.985694i	$0.553906\pi$
$2$	−1.50015	+	2.03263i	−1.06077	+	1.43729i	−0.892224	+	0.451594i	$0.850856\pi$
$3$	−1.46486	+	2.14855i	−0.845736	+	1.24047i	0.123008	+	0.992406i	$0.460746\pi$
$3$	−1.46486	+	2.14855i	−0.845736	+	1.24047i	−0.968744	+	0.248062i	$0.920206\pi$
$4$	−1.29163	−	4.18737i	−0.645816	−	2.09368i
$5$	−1.42651	+	1.22761i	−0.637956	+	0.549005i	−0.910693	−	0.413083i	$-0.864452\pi$
$5$	−1.42651	+	1.22761i	−0.637956	+	0.549005i	0.272738	+	0.962088i	$0.412071\pi$
$6$	−2.16971	−	6.20067i	−0.885780	−	2.53141i
$7$	−2.43746	−	1.02898i	−0.921272	−	0.388919i
$7$	−2.43746	−	1.02898i	−0.921272	−	0.388919i
$8$	5.68000	+	1.98752i	2.00818	+	0.702694i
$9$	−1.37445	−	3.50203i	−0.458148	−	1.16734i
$10$	−0.355302	−	4.74118i	−0.112356	−	1.49929i
$11$	−3.35334	+	1.46305i	−1.01107	+	0.441125i	−0.839100	−	0.543977i	$-0.816918\pi$
$11$	−3.35334	+	1.46305i	−1.01107	+	0.441125i	−0.171969	+	0.985102i	$0.555013\pi$
$12$	10.8888	+	3.35876i	3.14333	+	0.969590i
$13$	−3.34038	−	1.35716i	−0.926454	−	0.376408i
$13$	−3.34038	−	1.35716i	−0.926454	−	0.376408i
$14$	5.74810	−	3.41083i	1.53624	−	0.911582i
$15$	−0.547953	−	4.86322i	−0.141481	−	1.25568i
$16$	−5.31953	+	3.62679i	−1.32988	+	0.906698i
$17$	−2.90678	+	2.69709i	−0.704997	+	0.654142i	−0.948871	−	0.315665i	$-0.897772\pi$
$17$	−2.90678	+	2.69709i	−0.704997	+	0.654142i	0.243874	+	0.969807i	$0.421582\pi$
$18$	9.18021	+	2.45983i	2.16380	+	0.579788i
$19$	7.76117	−	2.07960i	1.78053	−	0.477093i	0.789853	−	0.613296i	$-0.210157\pi$
$19$	7.76117	−	2.07960i	1.78053	−	0.477093i	0.990681	+	0.136203i	$0.0434901\pi$
$20$	6.98299	+	4.38771i	1.56144	+	0.981121i
$21$	5.78135	−	3.72969i	1.26159	−	0.813885i
$22$	2.05668	−	9.01089i	0.438485	−	1.92113i
$23$	−1.95387	+	2.10577i	−0.407409	+	0.439083i	−0.903109	−	0.429411i	$-0.858721\pi$
$23$	−1.95387	+	2.10577i	−0.407409	+	0.439083i	0.495700	+	0.868494i	$0.334912\pi$
$24$	−12.5907	+	9.29235i	−2.57006	+	1.89679i
$25$	−0.217308	+	1.44174i	−0.0434616	+	0.288349i
$26$	7.76967	−	4.75382i	1.52376	−	0.932300i
$27$	1.93205	+	0.440978i	0.371823	+	0.0848662i
$28$	−1.16043	+	11.5356i	−0.219300	+	2.18002i
$29$	0.920002	+	4.03079i	0.170840	+	0.748499i	0.985654	+	0.168777i	$0.0539818\pi$
$29$	0.920002	+	4.03079i	0.170840	+	0.748499i	−0.814814	+	0.579722i	$0.803161\pi$
$30$	10.7071	+	6.18177i	1.95485	+	1.12863i
$31$	0.523739	−	1.95462i	0.0940663	−	0.351060i	−0.902810	−	0.430040i	$-0.858500\pi$
$31$	0.523739	−	1.95462i	0.0940663	−	0.351060i	0.996876	+	0.0789796i	$0.0251662\pi$
$32$	0.158141	−	4.22640i	0.0279556	−	0.747128i
$33$	1.76873	−	9.34798i	0.307897	−	1.62727i
$34$	−1.12160	−	9.95446i	−0.192352	−	1.70718i
$35$	4.74025	−	1.52440i	0.801249	−	0.257670i
$36$	−12.8890	+	10.2786i	−2.14817	+	1.71311i
$37$	−2.76165	−	5.22530i	−0.454013	−	0.859034i	−0.999777	−	0.0210957i	$-0.993285\pi$
$37$	−2.76165	−	5.22530i	−0.454013	−	0.859034i	0.545765	−	0.837939i	$-0.316239\pi$
$38$	−7.41586	+	18.8953i	−1.20301	+	3.06522i
$39$	7.80911	−	5.18893i	1.25046	−	0.830894i
$40$	−10.5425	+	4.13763i	−1.66692	+	0.654216i
$41$	6.07680	+	2.12636i	0.949037	+	0.332082i	0.760026	−	0.649893i	$-0.225186\pi$
$41$	6.07680	+	2.12636i	0.949037	+	0.332082i	0.189011	+	0.981975i	$0.439472\pi$
$42$	−1.09181	+	17.3465i	−0.168469	+	2.67662i
$43$	−2.05643	+	4.27022i	−0.313603	+	0.651203i	−0.996878	−	0.0789582i	$-0.974841\pi$
$43$	−2.05643	+	4.27022i	−0.313603	+	0.651203i	0.683275	+	0.730161i	$0.260555\pi$
$44$	10.4576	+	12.1519i	1.57654	+	1.83197i
$45$	6.25980	+	3.30840i	0.933156	+	0.493187i
$46$	−1.34916	−	7.13046i	−0.198922	−	1.05133i
$47$	1.89793	−	2.57161i	0.276842	−	0.375108i	−0.644012	−	0.765016i	$-0.722731\pi$
$47$	1.89793	−	2.57161i	0.276842	−	0.375108i	0.920854	+	0.389908i	$0.127493\pi$
$48$		−	16.7420i		−	2.41650i
$49$	4.88239	+	5.01620i	0.697485	+	0.716600i
$50$	−2.60454	−	2.60454i	−0.368337	−	0.368337i
$51$	−1.53683	−	10.1962i	−0.215200	−	1.42776i
$52$	−1.36838	+	15.7403i	−0.189761	+	2.18279i
$53$	−10.6697	+	3.29115i	−1.46559	+	0.452075i	−0.921971	−	0.387258i	$-0.873422\pi$
$53$	−10.6697	+	3.29115i	−1.46559	+	0.452075i	−0.543618	+	0.839333i	$0.682946\pi$
$54$	−3.79471	+	3.26561i	−0.516395	+	0.444394i
$55$	2.98752	−	6.20366i	0.402838	−	0.836501i
$56$	−11.7996	−	10.6891i	−1.57679	−	1.42839i
$57$	−6.90088	+	19.7216i	−0.914044	+	2.61219i
$58$	−9.57326	−	4.17677i	−1.25703	−	0.548437i
$59$	−6.47064	−	5.56844i	−0.842405	−	0.724949i	0.121099	−	0.992640i	$-0.461358\pi$
$59$	−6.47064	−	5.56844i	−0.842405	−	0.724949i	−0.963505	+	0.267692i	$0.913739\pi$
$60$	−19.6563	+	8.57596i	−2.53762	+	1.10715i
$61$	−0.495766	+	1.60723i	−0.0634763	+	0.205785i	−0.981755	−	0.190149i	$-0.939103\pi$
$61$	−0.495766	+	1.60723i	−0.0634763	+	0.205785i	0.918279	+	0.395934i	$0.129579\pi$
$62$	3.18734	+	3.99679i	0.404792	+	0.507593i
$63$	−0.253374	+	9.95033i	−0.0319221	+	1.25362i
$64$	−1.71377	−	1.36668i	−0.214221	−	0.170836i
$65$	6.43116	−	2.16469i	0.797687	−	0.268496i
$66$	16.3476	+	17.6186i	2.01225	+	2.16869i
$67$	−8.26922	−	2.21573i	−1.01025	−	0.270695i	−0.284514	−	0.958672i	$-0.591832\pi$
$67$	−8.26922	−	2.21573i	−1.01025	−	0.270695i	−0.725732	+	0.687977i	$0.758499\pi$
$68$	15.0482	+	8.68808i	1.82486	+	1.05358i
$69$	−1.66221	−	7.28263i	−0.200107	−	0.876726i
$70$	−4.01255	+	11.9220i	−0.479592	+	1.42495i
$71$	−4.34296	−	6.91178i	−0.515414	−	0.820277i	0.483055	−	0.875590i	$-0.339527\pi$
$71$	−4.34296	−	6.91178i	−0.515414	−	0.820277i	−0.998469	+	0.0553130i	$0.982384\pi$
$72$	−0.846503	−	22.6233i	−0.0997614	−	2.66618i
$73$	4.21940	−	3.11406i	0.493844	−	0.364473i	−0.318244	−	0.948009i	$-0.603093\pi$
$73$	4.21940	−	3.11406i	0.493844	−	0.364473i	0.812087	+	0.583536i	$0.198331\pi$
$74$	14.7640	+	2.22532i	1.71628	+	0.258688i
$75$	−2.77934	−	2.57885i	−0.320930	−	0.297780i
$76$	−18.7326	−	29.8128i	−2.14878	−	3.41976i
$77$	9.67906	−	0.115589i	1.10303	−	0.0131726i
$78$	−1.16765	+	23.6572i	−0.132210	+	2.67865i
$79$	−6.00820	+	10.4065i	−0.675976	+	1.17082i	0.300207	+	0.953874i	$0.402944\pi$
$79$	−6.00820	+	10.4065i	−0.675976	+	1.17082i	−0.976183	+	0.216950i	$0.930389\pi$
$80$	3.13607	−	11.7040i	0.350624	−	1.30855i
$81$	4.49577	−	4.17147i	0.499530	−	0.463497i
$82$	−13.4382	+	9.16203i	−1.48400	+	1.01178i
$83$	13.2905	−	1.49748i	1.45882	−	0.164370i	0.653375	−	0.757034i	$-0.273352\pi$
$83$	13.2905	−	1.49748i	1.45882	−	0.164370i	0.805450	+	0.592664i	$0.201924\pi$
$84$	−23.0850	−	19.3912i	−2.51877	−	2.11576i
$85$	0.835564	−	7.41584i	0.0906297	−	0.804360i
$86$	−5.59483	−	10.5859i	−0.603307	−	1.14151i
$87$	−10.0080	−	3.92787i	−1.07297	−	0.421111i
$88$	−21.9548	+	1.64529i	−2.34039	+	0.175388i
$89$	14.9316	+	6.51459i	1.58275	+	0.690546i	0.993117	−	0.117127i	$-0.0373686\pi$
$89$	14.9316	+	6.51459i	1.58275	+	0.690546i	0.589631	+	0.807673i	$0.299273\pi$
$90$	−16.1154	+	7.76077i	−1.69871	+	0.818057i
$91$	6.74553	+	6.74520i	0.707124	+	0.707089i
$92$	11.3413	+	5.46168i	1.18241	+	0.569419i
$93$	3.43240	+	3.98852i	0.355923	+	0.413590i
$94$	2.37995	+	7.71560i	0.245473	+	0.795803i
$95$	−8.51846	+	12.4943i	−0.873976	+	1.28189i
$96$	8.84898	+	6.53084i	0.903145	+	0.666552i
$97$	11.1642	+	11.1642i	1.13356	+	1.13356i	0.989581	+	0.143975i	$0.0459884\pi$
$97$	11.1642	+	11.1642i	1.13356	+	1.13356i	0.143975	+	0.989581i	$0.454012\pi$
$98$	−17.5204	+	2.39906i	−1.76983	+	0.242341i
$99$	9.73261	+	9.73261i	0.978164	+	0.978164i
$100$	6.31778	−	0.952253i	0.631778	−	0.0952253i
$101$	4.32690	+	2.95003i	0.430543	+	0.293539i	0.759136	−	0.650932i	$-0.225622\pi$
$101$	4.32690	+	2.95003i	0.430543	+	0.293539i	−0.328593	+	0.944472i	$0.606574\pi$
$102$	23.0307	+	12.1721i	2.28037	+	1.20521i
$103$	0.262734	−	3.50594i	0.0258880	−	0.345451i	−0.969187	−	0.246326i	$-0.920777\pi$
$103$	0.262734	−	3.50594i	0.0258880	−	0.345451i	0.995075	−	0.0991248i	$-0.0316043\pi$
$104$	−16.2760	−	14.3477i	−1.59599	−	1.40691i
$105$	−3.66855	+	12.4177i	−0.358014	+	1.21184i
$106$	9.31639	−	26.6247i	0.904888	−	2.58602i
$107$	−3.16591	−	8.06660i	−0.306060	−	0.779828i	−0.998307	−	0.0581672i	$-0.981474\pi$
$107$	−3.16591	−	8.06660i	−0.306060	−	0.779828i	0.692247	−	0.721661i	$-0.256621\pi$
$108$	−0.648961	−	8.65978i	−0.0624463	−	0.833288i
$109$	−0.228747	−	0.524294i	−0.0219100	−	0.0502182i	0.905263	−	0.424851i	$-0.139674\pi$
$109$	−0.228747	−	0.524294i	−0.0219100	−	0.0502182i	−0.927173	+	0.374633i	$0.877769\pi$
$110$	8.12801	+	15.3790i	0.774976	+	1.46633i
$111$	15.2723	+	1.72077i	1.44958	+	0.163328i
$112$	16.6980	−	3.36645i	1.57781	−	0.318100i
$113$	7.00719	−	8.78674i	0.659181	−	0.826587i	−0.334073	−	0.942547i	$-0.608423\pi$
$113$	7.00719	−	8.78674i	0.659181	−	0.826587i	0.993254	+	0.115960i	$0.0369946\pi$
$114$	−29.7344	−	43.6123i	−2.78488	−	4.08467i
$115$	0.202147	−	5.40249i	0.0188503	−	0.503785i
$116$	15.6901	−	9.05868i	1.45679	−	0.841077i
$117$	−0.161644	+	13.5634i	−0.0149440	+	1.25394i
$118$	21.0255	−	4.79894i	1.93556	−	0.441778i
$119$	9.86040	−	3.58303i	0.903902	−	0.328456i
$120$	6.55336	−	28.7122i	0.598237	−	2.62105i
$121$	1.62247	−	1.74860i	0.147497	−	0.158964i
$122$	−2.52319	−	3.41880i	−0.228439	−	0.309524i
$123$	−13.4703	+	9.94150i	−1.21457	+	0.896395i
$124$	−8.86118	+	0.331562i	−0.795758	+	0.0297752i
$125$	−6.46637	−	10.2912i	−0.578369	−	0.920470i
$126$	−19.8453	−	15.4420i	−1.76796	−	1.37568i
$127$	16.9525	−	3.86929i	1.50429	−	0.343344i	0.610567	−	0.791964i	$-0.290942\pi$
$127$	16.9525	−	3.86929i	1.50429	−	0.343344i	0.893723	+	0.448620i	$0.148084\pi$
$128$	13.5194	−	3.62250i	1.19495	−	0.320187i
$129$	−6.16242	−	10.6736i	−0.542571	−	0.939760i
$130$	−5.24769	+	16.3195i	−0.460253	+	1.43132i
$131$	−6.44017	−	9.44600i	−0.562681	−	0.825301i	0.434474	−	0.900684i	$-0.356934\pi$
$131$	−6.44017	−	9.44600i	−0.562681	−	0.825301i	−0.997155	+	0.0753835i	$0.975982\pi$
$132$	−41.4279	+	4.66781i	−3.60584	+	0.406281i
$133$	−21.0574	−	2.91717i	−1.82591	−	0.252951i
$134$	16.9089	−	13.4844i	1.46070	−	1.16487i
$135$	−3.29744	+	1.74275i	−0.283799	+	0.149992i
$136$	−21.8710	+	9.54223i	−1.87543	+	0.818240i
$137$	0.425373	−	0.494292i	0.0363421	−	0.0422302i	−0.739507	−	0.673149i	$-0.764941\pi$
$137$	0.425373	−	0.494292i	0.0363421	−	0.0422302i	0.775849	+	0.630919i	$0.217322\pi$
$138$	17.2965	+	7.54638i	1.47237	+	0.642390i
$139$	−2.49978	−	5.19085i	−0.212029	−	0.440282i	0.767646	−	0.640874i	$-0.221428\pi$
$139$	−2.49978	−	5.19085i	−0.212029	−	0.440282i	−0.979675	+	0.200592i	$0.935714\pi$
$140$	−12.5059	−	17.8802i	−1.05694	−	1.51115i
$141$	2.74503	+	7.84485i	0.231173	+	0.660656i
$142$	20.5642	+	1.54107i	1.72571	+	0.129324i
$143$	13.1870	−	0.336115i	1.10275	−	0.0281074i
$144$	20.0125	+	13.6443i	1.66771	+	1.13703i
$145$	−6.26065	−	4.62057i	−0.519918	−	0.383717i
$146$			13.2481i			1.09642i
$147$	−17.9296	+	3.14206i	−1.47881	+	0.259153i
$148$	−18.3132	+	18.3132i	−1.50534	+	1.50534i
$149$	1.73709	−	2.35368i	0.142308	−	0.192821i	−0.727647	−	0.685952i	$-0.759386\pi$
$149$	1.73709	−	2.35368i	0.142308	−	0.192821i	0.869955	+	0.493131i	$0.164148\pi$
$150$	9.41127	−	1.78071i	0.768427	−	0.145394i
$151$	1.90014	+	1.00425i	0.154631	+	0.0817249i	0.542794	−	0.839866i	$-0.317366\pi$
$151$	1.90014	+	1.00425i	0.154631	+	0.0817249i	−0.388163	+	0.921591i	$0.626890\pi$
$152$	48.2167	+	3.61334i	3.91089	+	0.293081i
$153$	13.4405	+	6.47261i	1.08660	+	0.523279i
$154$	−14.2851	+	19.8474i	−1.15113	+	1.59935i
$155$	1.65240	+	3.43124i	0.132724	+	0.275604i
$156$	−31.8144	−	25.9974i	−2.54719	−	2.08146i
$157$	16.8243	−	1.26080i	1.34272	−	0.100623i	0.616104	−	0.787665i	$-0.288710\pi$
$157$	16.8243	−	1.26080i	1.34272	−	0.100623i	0.726618	+	0.687042i	$0.241091\pi$
$158$	−12.1394	−	27.8238i	−0.965759	−	2.21354i
$159$	8.55832	−	27.7454i	0.678719	−	2.20035i
$160$	4.96279	+	6.22314i	0.392343	+	0.491983i
$161$	6.92926	−	3.12222i	0.546102	−	0.246066i
$162$	1.73472	+	15.3961i	0.136293	+	1.20963i
$163$	1.28042	+	0.242268i	0.100290	+	0.0189759i	0.235814	−	0.971798i	$-0.424224\pi$
$163$	1.28042	+	0.242268i	0.100290	+	0.0189759i	−0.135524	+	0.990774i	$0.543272\pi$
$164$	1.05488	−	28.1923i	0.0823723	−	2.20145i
$165$	8.95258	+	15.5063i	0.696958	+	1.20717i
$166$	−16.8940	+	29.2612i	−1.31123	+	2.27111i
$167$	−4.70708	−	2.95766i	−0.364245	−	0.228870i	0.337457	−	0.941341i	$-0.390433\pi$
$167$	−4.70708	−	2.95766i	−0.364245	−	0.228870i	−0.701702	+	0.712471i	$0.747576\pi$
$168$	40.2509	−	9.69412i	3.10543	−	0.747917i
$169$	9.31624	+	9.06684i	0.716634	+	0.697450i
$170$	13.8202	+	12.8233i	1.05996	+	0.983500i
$171$	−17.9501	−	24.3215i	−1.37268	−	1.85991i
$172$	20.5371	+	3.09547i	1.56594	+	0.236028i
$173$	−10.7330	−	9.95878i	−0.816016	−	0.757152i	0.157072	−	0.987587i	$-0.449795\pi$
$173$	−10.7330	−	9.95878i	−0.816016	−	0.757152i	−0.973088	+	0.230435i	$0.925985\pi$
$174$	22.9975	−	14.4503i	1.74343	−	1.09547i
$175$	2.01321	−	3.29058i	0.152184	−	0.248744i
$176$	12.5320	−	19.9446i	0.944635	−	1.50338i
$177$	21.4426	−	5.74554i	1.61173	−	0.431861i
$178$	−35.6414	+	20.5776i	−2.67144	+	1.54236i
$179$	−4.93135	−	5.31473i	−0.368586	−	0.397241i	0.521338	−	0.853350i	$-0.325433\pi$
$179$	−4.93135	−	5.31473i	−0.368586	−	0.397241i	−0.889924	+	0.456109i	$0.849243\pi$
$180$	5.76813	−	30.4853i	0.429931	−	2.27224i
$181$	−10.7606	+	13.4934i	−0.799832	+	1.00296i	0.199900	+	0.979816i	$0.435938\pi$
$181$	−10.7606	+	13.4934i	−0.799832	+	1.00296i	−0.999732	+	0.0231412i	$0.992633\pi$
$182$	−23.8298	+	3.59237i	−1.76639	+	0.266284i
$183$	−2.72700	−	3.41955i	−0.201585	−	0.252780i
$184$	−15.2832	+	8.07742i	−1.12669	+	0.595475i
$185$	10.3542	+	4.06372i	0.761254	+	0.298770i
$186$	−13.2563	+	0.993424i	−0.972000	+	0.0728414i
$187$	5.80143	−	13.2970i	0.424243	−	0.972374i
$188$	−13.2197	−	4.62577i	−0.964145	−	0.337369i
$189$	−4.25553	−	3.06291i	−0.309544	−	0.222794i
$190$	−12.6173	−	36.0582i	−0.915356	−	2.61594i
$191$	0.343226	−	4.58003i	0.0248350	−	0.331399i	−0.970923	−	0.239391i	$-0.923052\pi$
$191$	0.343226	−	4.58003i	0.0248350	−	0.331399i	0.995758	−	0.0920085i	$-0.0293287\pi$
$192$	5.44682	−	1.68012i	0.393090	−	0.121252i
$193$	−0.615541	−	3.25321i	−0.0443076	−	0.234171i	0.953412	−	0.301673i	$-0.0975449\pi$
$193$	−0.615541	−	3.25321i	−0.0443076	−	0.234171i	−0.997719	+	0.0675013i	$0.978497\pi$
$194$	−39.4408	+	5.94475i	−2.83169	+	0.426808i
$195$	−4.76979	+	16.9886i	−0.341572	+	1.21658i
$196$	14.6984	−	26.9234i	1.04989	−	1.92310i
$197$	−12.5663	+	12.5663i	−0.895312	+	0.895312i	−0.995017	−	0.0997046i	$-0.968210\pi$
$197$	−12.5663	+	12.5663i	−0.895312	+	0.895312i	0.0997046	+	0.995017i	$0.468210\pi$
$198$	−34.3832	+	5.18243i	−2.44351	+	0.368300i
$199$	−18.3486	−	12.5099i	−1.30070	−	0.886801i	−0.302893	−	0.953025i	$-0.597952\pi$
$199$	−18.3486	−	12.5099i	−1.30070	−	0.886801i	−0.997805	+	0.0662240i	$0.978905\pi$
$200$	−4.09980	+	7.75720i	−0.289900	+	0.548517i
$201$	16.8739	−	14.5211i	1.19019	−	1.02424i
$202$	−12.4873	+	4.36951i	−0.878606	+	0.307438i
$203$	1.90515	−	10.7715i	0.133715	−	0.756014i
$204$	−40.7103	+	19.6050i	−2.85029	+	1.37263i
$205$	−11.2790	+	4.42668i	−0.787758	+	0.309172i
$206$	6.73215	+	5.79348i	0.469051	+	0.403651i
$207$	10.0599	+	3.94823i	0.699214	+	0.274421i
$208$	22.6914	−	4.89541i	1.57336	−	0.339436i
$209$	−22.9833	+	18.3285i	−1.58979	+	1.26781i
$210$	−19.7373	−	26.0853i	−1.36200	−	1.80005i
$211$	14.9167	−	18.7050i	1.02691	−	1.28770i	0.0699284	−	0.997552i	$-0.477723\pi$
$211$	14.9167	−	18.7050i	1.02691	−	1.28770i	0.956981	−	0.290151i	$-0.0937057\pi$
$212$	27.5625	+	40.4268i	1.89300	+	2.77652i
$213$	21.2121	+	0.793702i	1.45343	+	0.0543836i
$214$	21.1458	+	5.66599i	1.44550	+	0.387319i
$215$	−2.30866	−	8.61603i	−0.157449	−	0.587608i
$216$	10.0976	+	6.34474i	0.687055	+	0.431705i
$217$	−3.28786	+	4.22538i	−0.223194	+	0.286838i
$218$	1.40885	+	0.321561i	0.0954195	+	0.0217789i
$219$	0.509896	+	13.6273i	0.0344556	+	0.920845i
$220$	−29.8357	−	4.49702i	−2.01153	−	0.303189i
$221$	13.3701	−	5.06436i	0.899371	−	0.340665i
$222$	−26.4084	+	28.4615i	−1.77242	+	1.91021i
$223$	13.4307	−	8.43905i	0.899384	−	0.565120i	−0.00110489	−	0.999999i	$-0.500352\pi$
$223$	13.4307	−	8.43905i	0.899384	−	0.565120i	0.900489	+	0.434879i	$0.143209\pi$
$224$	−4.73435	+	10.1389i	−0.316327	+	0.677436i
$225$	5.34770	−	1.22058i	0.356514	−	0.0813719i
$226$	7.34837	+	27.4245i	0.488806	+	1.82425i
$227$	5.68439	−	21.2144i	0.377286	−	1.40805i	−0.472689	−	0.881229i	$-0.656717\pi$
$227$	5.68439	−	21.2144i	0.377286	−	1.40805i	0.849975	−	0.526822i	$-0.176617\pi$
$228$	91.4949	+	3.42350i	6.05940	+	0.226727i
$229$	2.58932	−	13.6849i	0.171107	−	0.904323i	−0.786792	−	0.617218i	$-0.788259\pi$
$229$	2.58932	−	13.6849i	0.171107	−	0.904323i	0.957899	−	0.287105i	$-0.0926929\pi$
$230$	10.6780	+	8.51545i	0.704089	+	0.561492i
$231$	−13.9301	+	20.9653i	−0.916534	+	1.37942i
$232$	−2.78566	+	24.7234i	−0.182888	+	1.62317i
$233$	−3.57862	+	11.6016i	−0.234443	+	0.760046i	0.759535	+	0.650467i	$0.225427\pi$
$233$	−3.57862	+	11.6016i	−0.234443	+	0.760046i	−0.993978	+	0.109579i	$0.965050\pi$
$234$	−27.3270	−	20.6758i	−1.78642	−	1.35162i
$235$	0.449515	+	5.99836i	0.0293231	+	0.391290i
$236$	−14.9594	+	34.2873i	−0.973774	+	2.23191i
$237$	−13.5578	−	28.1530i	−0.880672	−	1.82873i
$238$	−7.50911	+	25.4177i	−0.486743	+	1.64758i
$239$	−21.6125	+	7.56254i	−1.39800	+	0.489180i	−0.920944	−	0.389695i	$-0.872580\pi$
$239$	−21.6125	+	7.56254i	−1.39800	+	0.489180i	−0.477052	+	0.878875i	$0.658295\pi$
$240$	20.5527	+	23.8827i	1.32667	+	1.54162i
$241$	−6.92028	+	13.0938i	−0.445775	+	0.843447i	0.554164	+	0.832407i	$0.313038\pi$
$241$	−6.92028	+	13.0938i	−0.445775	+	0.843447i	−0.999939	+	0.0110395i	$0.996486\pi$
$242$	1.12032	+	5.92105i	0.0720171	+	0.380620i
$243$	3.26304	+	21.6488i	0.209324	+	1.38877i
$244$	7.37041			0.471842
$245$	−13.1227	−	1.16198i	−0.838381	−	0.0742361i
$246$		−	42.2938i		−	2.69656i
$247$	−28.7476	−	3.58649i	−1.82916	−	0.228203i
$248$	6.85968	−	10.0613i	0.435590	−	0.638894i
$249$	−16.2513	+	30.7490i	−1.02989	+	1.94864i
$250$	30.6187	+	2.29455i	1.93650	+	0.145120i
$251$	23.7992	+	11.4611i	1.50219	+	0.723418i	0.990725	−	0.135884i	$-0.0433874\pi$
$251$	23.7992	+	11.4611i	1.50219	+	0.723418i	0.511469	+	0.859302i	$0.329102\pi$
$252$	41.9929	−	11.7912i	2.64530	−	0.742775i
$253$	3.47114	−	9.91994i	0.218229	−	0.623661i
$254$	−17.5664	+	40.2627i	−1.10222	+	2.52631i
$255$	14.7093	+	12.6584i	0.921134	+	0.792700i
$256$	−11.3162	+	28.8333i	−0.707264	+	1.80208i
$257$	4.80812	+	1.48311i	0.299922	+	0.0925137i	0.441064	−	0.897476i	$-0.354601\pi$
$257$	4.80812	+	1.48311i	0.299922	+	0.0925137i	−0.141142	+	0.989989i	$0.545077\pi$
$258$	30.9401	+	3.48611i	1.92625	+	0.217036i
$259$	1.35467	+	15.5781i	0.0841750	+	0.967978i
$260$	−17.3710	−	24.1336i	−1.07730	−	1.49670i
$261$	12.8515	−	8.76197i	0.795485	−	0.542353i
$262$	28.8615	+	1.07992i	1.78307	+	0.0667177i
$263$	6.29832	+	10.9090i	0.388371	+	0.672678i	0.992231	−	0.124413i	$-0.0397047\pi$
$263$	6.29832	+	10.9090i	0.388371	+	0.672678i	−0.603860	+	0.797091i	$0.706371\pi$
$264$	28.6257	−	49.5812i	1.76179	−	3.05151i
$265$	11.1801	−	17.7931i	0.686790	−	1.09302i
$266$	37.5188	−	38.4257i	2.30042	−	2.35603i
$267$	−35.8696	+	22.5384i	−2.19519	+	1.37933i
$268$	1.40271	+	37.4882i	0.0856841	+	2.28995i
$269$	−3.77917	+	25.0732i	−0.230420	+	1.52874i	0.512107	+	0.858922i	$0.328865\pi$
$269$	−3.77917	+	25.0732i	−0.230420	+	1.52874i	−0.742527	+	0.669816i	$0.766373\pi$
$270$	1.40429	−	9.31688i	0.0854626	−	0.567007i
$271$	−20.4638	+	0.765703i	−1.24309	+	0.0465131i	−0.650823	−	0.759229i	$-0.725576\pi$
$271$	−20.4638	+	0.765703i	−1.24309	+	0.0465131i	−0.592266	+	0.805742i	$0.701767\pi$
$272$	5.68087	−	24.8895i	0.344454	−	1.50915i
$273$	−24.3737	+	4.61237i	−1.47516	+	0.279153i
$274$	0.366591	+	1.60614i	0.0221466	+	0.0970304i
$275$	−1.38063	−	5.15258i	−0.0832551	−	0.310712i
$276$	−28.3481	+	16.3668i	−1.70635	+	0.985164i
$277$	−3.83532	−	4.13349i	−0.230442	−	0.248357i	0.607236	−	0.794521i	$-0.292278\pi$
$277$	−3.83532	−	4.13349i	−0.230442	−	0.248357i	−0.837678	+	0.546164i	$0.816088\pi$
$278$	14.3011	+	2.70592i	0.857725	+	0.162290i
$279$	−7.56499	+	0.852369i	−0.452904	+	0.0510300i
$280$	29.9544	+	0.762755i	1.79012	+	0.0455833i
$281$	3.10749	−	27.5797i	0.185377	−	1.64527i	−0.464748	−	0.885443i	$-0.653855\pi$
$281$	3.10749	−	27.5797i	0.185377	−	1.64527i	0.650126	−	0.759827i	$-0.274716\pi$
$282$	−20.0637	−	6.18882i	−1.19477	−	0.368539i
$283$	2.64647	−	6.74309i	0.157316	−	0.400835i	−0.830385	−	0.557191i	$-0.811879\pi$
$283$	2.64647	−	6.74309i	0.157316	−	0.400835i	0.987701	+	0.156355i	$0.0499745\pi$
$284$	−23.3326	+	27.1130i	−1.38454	+	1.60886i
$285$	−14.3663	−	36.6047i	−0.850986	−	2.16828i
$286$	−19.0993	+	27.3085i	−1.12936	+	1.61479i
$287$	−12.6239	−	11.4358i	−0.745168	−	0.675036i
$288$	−15.0183	+	5.25514i	−0.884963	+	0.309662i
$289$	−0.0953802	+	1.27276i	−0.00561060	+	0.0748683i
$290$	18.7838	−	5.79404i	1.10302	−	0.340238i
$291$	−40.3410	+	7.63292i	−2.36483	+	0.447450i
$292$	−18.4896	−	13.6460i	−1.08202	−	0.798569i
$293$	1.38389	−	1.38389i	0.0808478	−	0.0808478i	−0.665526	−	0.746374i	$-0.731793\pi$
$293$	1.38389	−	1.38389i	0.0808478	−	0.0808478i	0.746374	+	0.665526i	$0.231793\pi$
$294$	20.5104	−	41.1578i	1.19619	−	2.40037i
$295$	16.0663			0.935418
$296$	−5.30081	−	35.1686i	−0.308103	−	2.04413i
$297$	−7.12399	+	1.34793i	−0.413376	+	0.0782149i
$298$	2.17826	+	7.06175i	0.126183	+	0.409076i
$299$	9.38451	−	4.38235i	0.542720	−	0.253438i
$300$	−7.20869	+	14.9690i	−0.416194	+	0.864236i
$301$	9.40644	−	8.29245i	0.542178	−	0.477969i
$302$	−4.89177	+	2.35575i	−0.281490	+	0.135558i
$303$	−12.6766	+	4.97520i	−0.728252	+	0.285818i
$304$	−33.7435	+	39.2106i	−1.93532	+	2.24888i
$305$	−1.26584	−	2.90135i	−0.0724820	−	0.166131i
$306$	−33.3192	+	17.6097i	−1.90473	+	1.00668i
$307$	−13.8325	−	1.55855i	−0.789461	−	0.0889509i	−0.291979	−	0.956425i	$-0.594314\pi$
$307$	−13.8325	−	1.55855i	−0.789461	−	0.0889509i	−0.497483	+	0.867474i	$0.665742\pi$
$308$	−12.9858	−	40.3805i	−0.739934	−	2.30089i
$309$	7.14783	+	5.70021i	0.406626	+	0.324273i
$310$	−9.45329	−	1.78866i	−0.536911	−	0.101589i
$311$	10.7445	−	9.96948i	0.609267	−	0.565317i	−0.314026	−	0.949415i	$-0.601678\pi$
$311$	10.7445	−	9.96948i	0.609267	−	0.565317i	0.923293	+	0.384097i	$0.125487\pi$
$312$	54.6689	−	13.9524i	3.09501	−	0.789899i
$313$	−15.9542	−	9.21116i	−0.901784	−	0.520645i	−0.0240055	−	0.999712i	$-0.507642\pi$
$313$	−15.9542	−	9.21116i	−0.901784	−	0.520645i	−0.877779	+	0.479067i	$0.840975\pi$
$314$	−22.6762	+	36.0889i	−1.27969	+	2.03662i
$315$	−11.8537	−	14.5053i	−0.667881	−	0.817282i
$316$	51.3363	+	11.7172i	2.88789	+	0.659142i
$317$	1.41693	−	0.0530178i	0.0795828	−	0.00297778i	0.00242986	−	0.999997i	$-0.499227\pi$
$317$	1.41693	−	0.0530178i	0.0795828	−	0.00297778i	0.0771529	+	0.997019i	$0.475417\pi$
$318$	43.5574	+	59.0182i	2.44258	+	3.30957i
$319$	−8.98231	−	12.1706i	−0.502913	−	0.681423i
$320$	4.12247	−	0.154252i	0.230453	−	0.00862295i
$321$	21.9691	+	5.01431i	1.22620	+	0.279871i
$322$	−4.04860	+	18.7684i	−0.225620	+	1.04592i
$323$	−16.9511	+	26.9775i	−0.943185	+	1.50107i
$324$	−23.2743	−	13.4374i	−1.29302	−	0.746525i
$325$	2.68256	−	4.52104i	0.148802	−	0.250782i
$326$	−2.41326	+	2.23918i	−0.133658	+	0.124016i
$327$	1.46155	+	0.276541i	0.0808242	+	0.0152928i
$328$	30.2901	+	24.1555i	1.67249	+	1.33377i
$329$	−7.27227	+	4.31525i	−0.400933	+	0.237907i
$330$	−44.9489	−	5.06452i	−2.47435	−	0.278793i
$331$	−6.51798	+	3.44485i	−0.358260	+	0.189346i	−0.636707	−	0.771105i	$-0.719704\pi$
$331$	−6.51798	+	3.44485i	−0.358260	+	0.189346i	0.278447	+	0.960452i	$0.410180\pi$
$332$	−23.4370	−	53.7181i	−1.28627	−	2.94816i
$333$	−14.5034	+	16.8533i	−0.794782	+	0.923554i
$334$	13.0732	−	5.13084i	0.715332	−	0.280747i
$335$	14.5162	−	6.99064i	0.793106	−	0.381939i
$336$	−17.2272	+	40.8079i	−0.939823	+	2.22626i
$337$	6.39002	−	13.2690i	0.348086	−	0.722809i	−0.651264	−	0.758851i	$-0.725761\pi$
$337$	6.39002	−	13.2690i	0.348086	−	0.722809i	0.999350	+	0.0360424i	$0.0114751\pi$
$338$	−32.4053	+	5.33486i	−1.76262	+	0.290178i
$339$	8.61423	+	27.9266i	0.467861	+	1.51677i
$340$	−32.1321	+	6.07971i	−1.74261	+	0.329719i
$341$	1.10343	+	7.32075i	0.0597539	+	0.396441i
$342$	76.3646			4.12933
$343$	−6.73905	−	17.2507i	−0.363874	−	0.931448i
$344$	−20.1677	+	20.1677i	−1.08737	+	1.08737i
$345$	11.3114	+	8.34821i	0.608987	+	0.449453i
$346$	36.3437	−	6.87659i	1.95385	−	0.369688i
$347$	−22.5432	+	6.95366i	−1.21018	+	0.373292i	−0.833223	−	0.552937i	$-0.813507\pi$
$347$	−22.5432	+	6.95366i	−1.21018	+	0.373292i	−0.376961	+	0.926229i	$0.623031\pi$
$348$	−3.52071	+	46.9807i	−0.188730	+	2.51843i
$349$	−21.7291	+	7.60334i	−1.16313	+	0.406997i	−0.841705	−	0.539937i	$-0.818448\pi$
$349$	−21.7291	+	7.60334i	−1.16313	+	0.406997i	−0.321426	+	0.946935i	$0.604162\pi$
$350$	3.66843	+	9.02847i	0.196086	+	0.482592i
$351$	−5.85530	−	4.09513i	−0.312533	−	0.218582i
$352$	5.65311	+	14.4039i	0.301312	+	0.767730i
$353$	2.59340	−	3.01359i	0.138033	−	0.160397i	−0.684700	−	0.728825i	$-0.740067\pi$
$353$	2.59340	−	3.01359i	0.138033	−	0.160397i	0.822734	+	0.568427i	$0.192448\pi$
$354$	−20.4886	+	52.2042i	−1.08896	+	2.77462i
$355$	14.6803	+	4.52826i	0.779148	+	0.240335i
$356$	7.99286	−	70.9386i	0.423621	−	3.75974i
$357$	−6.74576	+	26.4342i	−0.357024	+	1.39905i
$358$	18.2007	−	2.05072i	0.961935	−	0.108384i
$359$	0.535862	+	0.101391i	0.0282817	+	0.00535119i	0.200033	−	0.979789i	$-0.435895\pi$
$359$	0.535862	+	0.101391i	0.0282817	+	0.00535119i	−0.171751	+	0.985140i	$0.554943\pi$
$360$	28.9802	+	31.2332i	1.52739	+	1.64613i
$361$	39.4565	−	22.7802i	2.07666	−	1.19896i
$362$	−11.2846	−	42.1146i	−0.593104	−	2.21349i
$363$	1.38028	+	6.04741i	0.0724461	+	0.317407i
$364$	19.5319	−	36.9583i	1.02375	−	1.93714i
$365$	−2.19617	+	9.62204i	−0.114953	+	0.503641i
$366$	11.0416	−	0.413147i	0.577153	−	0.0215955i
$367$	4.29901	−	28.5220i	0.224406	−	1.48884i	−0.538663	−	0.842522i	$-0.681070\pi$
$367$	4.29901	−	28.5220i	0.224406	−	1.48884i	0.763069	−	0.646317i	$-0.223692\pi$
$368$	2.75646	−	18.2879i	0.143691	−	0.953325i
$369$	−0.905639	−	24.2037i	−0.0471457	−	1.25999i
$370$	−23.7929	+	14.9501i	−1.23693	+	0.777216i
$371$	29.3934	+	2.95684i	1.52603	+	0.153511i
$372$	12.2680	−	19.5244i	0.636066	−	1.01229i
$373$	1.78134	−	3.08537i	0.0922341	−	0.159754i	−0.816217	−	0.577746i	$-0.803933\pi$
$373$	1.78134	−	3.08537i	0.0922341	−	0.159754i	0.908451	+	0.417992i	$0.137266\pi$
$374$	18.3249	+	31.7397i	0.947559	+	1.64122i
$375$	31.5834	+	1.18177i	1.63096	+	0.0610262i
$376$	15.8914	−	10.8346i	0.819536	−	0.558750i
$377$	2.39727	−	14.7130i	0.123466	−	0.757756i
$378$	12.6097	−	4.05510i	0.648573	−	0.208572i
$379$	−23.6074	−	2.65992i	−1.21263	−	0.136631i	−0.517608	−	0.855618i	$-0.673177\pi$
$379$	−23.6074	−	2.65992i	−1.21263	−	0.136631i	−0.695023	+	0.718987i	$0.744606\pi$
$380$	63.3208	+	19.5319i	3.24829	+	1.00196i
$381$	−16.5196	+	42.0913i	−0.846325	+	2.15640i
$382$	8.79463	+	7.56839i	0.449972	+	0.387233i
$383$	−2.61536	+	5.99448i	−0.133639	+	0.306304i	−0.970496	−	0.241118i	$-0.922486\pi$
$383$	−2.61536	+	5.99448i	−0.133639	+	0.306304i	0.836857	+	0.547422i	$0.184391\pi$
$384$	−12.0208	+	34.3535i	−0.613435	+	1.75310i
$385$	−13.6654	+	12.0470i	−0.696454	+	0.613974i
$386$	7.53598	+	3.62914i	0.383571	+	0.184718i
$387$	17.7809	+	1.33249i	0.903854	+	0.0677345i
$388$	32.3286	−	61.1688i	1.64124	−	3.10537i
$389$	−10.7100	+	15.7087i	−0.543018	+	0.796461i	−0.995445	−	0.0953406i	$-0.969606\pi$
$389$	−10.7100	+	15.7087i	−0.543018	+	0.796461i	0.452427	+	0.891802i	$0.350558\pi$
$390$	−27.3763	−	35.1807i	−1.38625	−	1.78145i
$391$		−	11.3908i		−	0.576055i
$392$	17.7622	+	38.1959i	0.897128	+	1.92918i
$393$	29.7292			1.49964
$394$	−6.69133	−	44.3940i	−0.337104	−	2.23654i
$395$	−4.20440	−	22.2208i	−0.211546	−	1.11805i
$396$	28.1830	−	53.3249i	1.41625	−	2.67968i
$397$	−0.818360	−	0.950951i	−0.0410723	−	0.0477269i	0.737060	−	0.675827i	$-0.236214\pi$
$397$	−0.818360	−	0.950951i	−0.0410723	−	0.0477269i	−0.778132	+	0.628101i	$0.783833\pi$
$398$	52.9536	−	18.5293i	2.65433	−	0.928788i
$399$	37.1138	−	40.9697i	1.85801	−	2.05105i
$400$	−4.07293	−	8.45752i	−0.203646	−	0.422876i
$401$	−2.39947	+	5.49964i	−0.119824	+	0.274639i	−0.966129	−	0.258059i	$-0.916917\pi$
$401$	−2.39947	+	5.49964i	−0.119824	+	0.274639i	0.846305	+	0.532698i	$0.178822\pi$
$402$	4.20278	+	56.0822i	0.209616	+	2.79713i
$403$	−4.40221	+	5.81837i	−0.219290	+	0.289834i
$404$	6.76410	−	21.9287i	0.336527	−	1.09099i
$405$	−1.29233	+	11.4697i	−0.0642163	+	0.569935i
$406$	19.0366	+	20.0314i	0.944770	+	0.994142i
$407$	16.9056	+	13.4818i	0.837980	+	0.668267i
$408$	11.5360	−	60.9691i	0.571116	−	3.01842i
$409$	−30.8537	−	1.15446i	−1.52562	−	0.0570846i	−0.738654	−	0.674085i	$-0.764538\pi$
$409$	−30.8537	−	1.15446i	−1.52562	−	0.0570846i	−0.786963	+	0.617000i	$0.788348\pi$
$410$	7.92238	−	29.5667i	0.391258	−	1.46020i
$411$	0.438902	+	1.63800i	0.0216494	+	0.0807968i
$412$	−15.0200	+	3.42822i	−0.739983	+	0.168896i
$413$	10.0421	+	20.2310i	0.494139	+	0.995502i
$414$	−23.1167	+	14.5252i	−1.13613	+	0.713875i
$415$	−17.1208	+	18.4518i	−0.840426	+	0.905763i
$416$	−6.26414	+	13.9031i	−0.307125	+	0.681657i
$417$	14.8146	+	2.23295i	0.725476	+	0.109348i
$418$	−2.77682	−	74.2121i	−0.135819	−	3.62983i
$419$	−23.1150	−	5.27585i	−1.12924	−	0.257742i	−0.383216	−	0.923659i	$-0.625183\pi$
$419$	−23.1150	−	5.27585i	−1.12924	−	0.257742i	−0.746026	+	0.665917i	$0.768041\pi$
$420$	56.7359	−	0.677548i	2.76843	−	0.0330610i
$421$	27.9482	+	17.5610i	1.36211	+	0.855871i	0.997171	−	0.0751609i	$-0.0239470\pi$
$421$	27.9482	+	17.5610i	1.36211	+	0.855871i	0.364939	+	0.931032i	$0.381090\pi$
$422$	15.6430	+	58.3805i	0.761489	+	2.84192i
$423$	−11.6145	−	3.11208i	−0.564714	−	0.151315i
$424$	−67.1449	−	2.51239i	−3.26084	−	0.122012i
$425$	−3.25685	−	4.77692i	−0.157981	−	0.231715i
$426$	−33.4347	+	41.9258i	−1.61992	+	2.03131i
$427$	2.86222	−	3.40743i	0.138513	−	0.164897i
$428$	−29.6886	+	23.6759i	−1.43505	+	1.14442i
$429$	−18.5949	+	28.8253i	−0.897771	+	1.39170i
$430$	20.9765	+	8.23269i	1.01158	+	0.397015i
$431$	−5.37562	−	4.62609i	−0.258934	−	0.222831i	0.513235	−	0.858248i	$-0.328447\pi$
$431$	−5.37562	−	4.62609i	−0.258934	−	0.222831i	−0.772169	+	0.635417i	$0.780828\pi$
$432$	−11.8769	+	4.66135i	−0.571429	+	0.224269i
$433$	12.4279	−	5.98496i	0.597247	−	0.287619i	−0.110735	−	0.993850i	$-0.535320\pi$
$433$	12.4279	−	5.98496i	0.597247	−	0.287619i	0.707981	+	0.706231i	$0.249606\pi$
$434$	−3.65637	−	13.0217i	−0.175511	−	0.625063i
$435$	19.0985	−	6.68285i	0.915703	−	0.320418i
$436$	−1.89995	+	1.63504i	−0.0909912	+	0.0783043i
$437$	−10.7851	+	20.4065i	−0.515923	+	0.976173i
$438$	−28.4641	−	19.4065i	−1.36007	−	0.927279i
$439$	−3.14949	+	0.474709i	−0.150317	+	0.0226566i	−0.223770	−	0.974642i	$-0.571836\pi$
$439$	−3.14949	+	0.474709i	−0.150317	+	0.0226566i	0.0734527	+	0.997299i	$0.476598\pi$
$440$	29.2990	−	29.2990i	1.39678	−	1.39678i
$441$	10.8563	−	23.9928i	0.516966	−	1.14251i
$442$	−9.76322	+	34.7738i	−0.464389	+	1.65402i
$443$	−8.90863	+	1.34276i	−0.423262	+	0.0637964i	−0.357220	−	0.934020i	$-0.616275\pi$
$443$	−8.90863	+	1.34276i	−0.423262	+	0.0637964i	−0.0660420	+	0.997817i	$0.521037\pi$
$444$	−12.5206	−	66.1731i	−0.594203	−	3.14044i
$445$	−29.2975	+	9.03709i	−1.38884	+	0.428399i
$446$	−2.99455	+	39.9595i	−0.141796	+	1.89214i
$447$	2.51241	+	7.18004i	0.118833	+	0.339604i
$448$	2.77094	+	5.09467i	0.130915	+	0.240701i
$449$	−7.63776	−	2.67257i	−0.360448	−	0.126126i	0.143979	−	0.989581i	$-0.454010\pi$
$449$	−7.63776	−	2.67257i	−0.360448	−	0.126126i	−0.504427	+	0.863455i	$0.668296\pi$
$450$	−5.54138	+	12.7010i	−0.261223	+	0.598729i
$451$	−23.4885	+	1.76022i	−1.10603	+	0.0828856i
$452$	−45.8440	−	17.9924i	−2.15632	−	0.846293i
$453$	−4.94112	+	2.61146i	−0.232154	+	0.122697i
$454$	34.5937	+	43.3791i	1.62356	+	2.03588i
$455$	−17.9031	−	1.34121i	−0.839310	−	0.0628769i
$456$	−78.3941	+	98.3031i	−3.67114	+	4.60346i
$457$	4.37832	−	23.1400i	0.204809	−	1.08244i	−0.717666	−	0.696387i	$-0.754790\pi$
$457$	4.37832	−	23.1400i	0.204809	−	1.08244i	0.922475	−	0.386056i	$-0.126163\pi$
$458$	23.9320	+	25.7926i	1.11827	+	1.20521i
$459$	−6.80540	+	3.92910i	−0.317649	+	0.183395i
$460$	−22.8833	+	6.13156i	−1.06694	+	0.285886i
$461$	19.6731	−	31.3096i	0.916269	−	1.45823i	0.0276342	−	0.999618i	$-0.491203\pi$
$461$	19.6731	−	31.3096i	0.916269	−	1.45823i	0.888635	−	0.458616i	$-0.151654\pi$
$462$	−21.7175	−	59.7659i	−1.01039	−	2.78056i
$463$	13.5101	−	8.48899i	0.627870	−	0.394517i	−0.180178	−	0.983634i	$-0.557667\pi$
$463$	13.5101	−	8.48899i	0.627870	−	0.394517i	0.808047	+	0.589117i	$0.200524\pi$
$464$	−19.5128	−	18.1052i	−0.905859	−	0.840515i
$465$	−9.79272	−	1.47602i	−0.454127	−	0.0684486i
$466$	−18.2133	−	24.6782i	−0.843716	−	1.14319i
$467$	13.8747	+	12.8739i	0.642045	+	0.595731i	0.932505	−	0.361156i	$-0.117618\pi$
$467$	13.8747	+	12.8739i	0.642045	+	0.595731i	−0.290460	+	0.956887i	$0.593808\pi$
$468$	57.0039	−	16.8421i	2.63500	−	0.778526i
$469$	17.8759	+	13.9096i	0.825434	+	0.642287i
$470$	−12.8668	−	8.08475i	−0.593501	−	0.372922i
$471$	−21.9363	+	37.9947i	−1.01077	+	1.75070i
$472$	−25.6859	−	44.4893i	−1.18229	−	2.04778i
$473$	0.648374	−	17.3281i	0.0298122	−	0.796749i
$474$	77.5634	+	14.6758i	3.56261	+	0.674082i
$475$	1.31168	+	11.6415i	0.0601842	+	0.534150i
$476$	−27.7395	−	36.6612i	−1.27144	−	1.68036i
$477$	26.1906	+	32.8419i	1.19918	+	1.50373i
$478$	17.0501	−	55.2752i	0.779855	−	2.52823i
$479$	−13.8754	−	31.8027i	−0.633982	−	1.45310i	−0.875749	−	0.482767i	$-0.839632\pi$
$479$	−13.8754	−	31.8027i	−0.633982	−	1.45310i	0.241767	−	0.970334i	$-0.422273\pi$
$480$	−20.6405	+	1.54679i	−0.942107	+	0.0706012i
$481$	2.13340	+	21.2025i	0.0972746	+	0.966750i
$482$	−16.2334	−	33.7091i	−0.739413	−	1.53541i
$483$	−3.44212	+	19.4615i	−0.156622	+	0.885528i
$484$	−9.41767	−	4.53531i	−0.428076	−	0.206151i
$485$	−29.6313	−	2.22056i	−1.34549	−	0.100830i
$486$	−48.8991	−	25.8440i	−2.21811	−	1.17231i
$487$	36.7615	−	6.95566i	1.66582	−	0.315191i	0.734287	−	0.678839i	$-0.237516\pi$
$487$	36.7615	−	6.95566i	1.66582	−	0.315191i	0.931536	+	0.363648i	$0.118469\pi$
$488$	−6.01036	+	8.14374i	−0.272076	+	0.368650i
$489$	−2.39615	+	2.39615i	−0.108358	+	0.108358i
$490$	22.0480	−	24.9306i	0.996026	−	1.12625i
$491$		−	33.6997i		−	1.52085i	−0.649427	−	0.760424i	$-0.724991\pi$
$491$		−	33.6997i		−	1.52085i	0.649427	−	0.760424i	$-0.275009\pi$
$492$	59.0273	+	43.5641i	2.66116	+	1.96402i
$493$	−13.5457	−	9.23528i	−0.610066	−	0.415936i
$494$	50.4157	−	53.0530i	2.26831	−	2.38697i
$495$	−25.8316	−	1.93581i	−1.16104	−	0.0870081i
$496$	4.30296	+	12.2971i	0.193208	+	0.552158i
$497$	3.47368	+	21.3160i	0.155816	+	0.956153i
$498$	−38.1220	−	79.1611i	−1.70829	−	3.54729i
$499$	−5.37412	−	2.34471i	−0.240579	−	0.104963i	0.276144	−	0.961116i	$-0.410943\pi$
$499$	−5.37412	−	2.34471i	−0.240579	−	0.104963i	−0.516723	+	0.856153i	$0.672848\pi$
$500$	−34.7407	+	40.3694i	−1.55365	+	1.80538i
$501$	13.2499	−	5.78087i	0.591962	−	0.258270i
$502$	−58.9986	+	31.1817i	−2.63324	+	1.39171i
$503$	−15.0590	+	12.0091i	−0.671447	+	0.535461i	−0.898804	−	0.438350i	$-0.855563\pi$
$503$	−15.0590	+	12.0091i	−0.671447	+	0.535461i	0.227357	+	0.973811i	$0.426992\pi$
$504$	−21.2156	+	56.0143i	−0.945019	+	2.49508i
$505$	−9.79388	+	1.10351i	−0.435822	+	0.0491054i
$506$	14.9564	+	21.9370i	0.664891	+	0.975217i
$507$	−33.1276	+	6.73479i	−1.47125	+	0.299103i
$508$	−38.0985	−	65.9885i	−1.69035	−	2.92777i
$509$	−28.3746	+	7.60296i	−1.25768	+	0.336995i	−0.825300	−	0.564695i	$-0.808994\pi$
$509$	−28.3746	+	7.60296i	−1.25768	+	0.336995i	−0.432383	+	0.901690i	$0.642327\pi$
$510$	−47.7961	+	10.9091i	−2.11645	+	0.483065i
$511$	−13.4889	+	3.24870i	−0.596715	+	0.143714i
$512$	−26.7384	−	42.5540i	−1.18168	−	1.88064i
$513$	15.9120	−	0.595386i	0.702533	−	0.0262869i
$514$	−10.2275	+	7.54825i	−0.451116	+	0.332939i
$515$	3.92915	+	5.32381i	0.173139	+	0.234595i
$516$	−36.7348	+	39.5907i	−1.61716	+	1.74288i
$517$	−2.60203	+	11.4002i	−0.114437	+	0.501382i
$518$	−33.6968	−	20.6160i	−1.48055	−	0.905816i
$519$	37.1193	−	8.47224i	1.62936	−	0.371890i
$520$	40.8314	+	0.486612i	1.79057	+	0.0213393i
$521$	18.5064	−	10.6847i	0.810782	−	0.468105i	−0.0364456	−	0.999336i	$-0.511604\pi$
$521$	18.5064	−	10.6847i	0.810782	−	0.468105i	0.847227	+	0.531231i	$0.178270\pi$
$522$	−1.46925	+	39.2666i	−0.0643074	+	1.71865i
$523$	7.50482	+	11.0076i	0.328163	+	0.481327i	0.954494	−	0.298231i	$-0.0963965\pi$
$523$	7.50482	+	11.0076i	0.328163	+	0.481327i	−0.626331	+	0.779557i	$0.715444\pi$
$524$	−31.2355	+	39.1681i	−1.36453	+	1.71107i
$525$	4.12092	+	9.14571i	0.179852	+	0.399152i
$526$	−31.6224	−	3.56299i	−1.37880	−	0.155354i
$527$	3.74940	+	7.09422i	0.163327	+	0.309029i
$528$	24.4943	+	56.1416i	1.06598	+	2.44325i
$529$	1.10213	+	14.7069i	0.0479187	+	0.639431i
$530$	19.3949	+	49.4174i	0.842461	+	2.14655i
$531$	−10.6073	+	30.3139i	−0.460317	+	1.31551i
$532$	14.9831	+	91.9428i	0.649601	+	3.98623i
$533$	−17.4130	−	15.3500i	−0.754240	−	0.664884i
$534$	7.99762	−	106.721i	0.346091	−	4.61826i
$535$	14.4189	+	7.62060i	0.623382	+	0.329467i
$536$	−42.5654	−	29.0206i	−1.83855	−	1.25350i
$537$	18.6427	−	2.80993i	0.804492	−	0.121258i
$538$	−45.2952	−	45.2952i	−1.95281	−	1.95281i
$539$	−23.7112	−	9.67784i	−1.02132	−	0.416854i
$540$	11.5566	+	11.5566i	0.497317	+	0.497317i
$541$	−9.79466	−	7.22879i	−0.421105	−	0.310790i	0.362575	−	0.931955i	$-0.381898\pi$
$541$	−9.79466	−	7.22879i	−0.421105	−	0.310790i	−0.783680	+	0.621165i	$0.786660\pi$
$542$	29.1425	−	42.7441i	1.25178	−	1.83602i
$543$	−13.2285	−	42.8857i	−0.567689	−	1.84040i
$544$	10.9393	+	12.7117i	0.469019	+	0.545010i
$545$	0.969940	+	0.467099i	0.0415477	+	0.0200083i
$546$	27.1889	−	56.4620i	1.16358	−	2.41635i
$547$	33.5171	−	16.1410i	1.43309	−	0.690139i	0.453520	−	0.891246i	$-0.350168\pi$
$547$	33.5171	−	16.1410i	1.43309	−	0.690139i	0.979569	+	0.201107i	$0.0644538\pi$
$548$	−2.61921	−	1.14275i	−0.111887	−	0.0488158i
$549$	6.30998	−	0.472867i	0.269303	−	0.0201815i
$550$	12.5445	+	4.92334i	0.534897	+	0.209932i
$551$	15.5227	+	29.3704i	0.661290	+	1.25122i
$552$	5.03299	−	44.6691i	0.214218	−	1.90124i
$553$	25.3529	−	19.1831i	1.07811	−	0.815748i
$554$	14.1554	−	1.59493i	0.601406	−	0.0677622i
$555$	−23.8985	+	16.2937i	−1.01444	+	0.691630i
$556$	−18.5072	+	17.1722i	−0.784879	+	0.728262i
$557$	5.68044	−	21.1997i	0.240688	−	0.898260i	−0.734814	−	0.678269i	$-0.762730\pi$
$557$	5.68044	−	21.1997i	0.240688	−	0.898260i	0.975502	−	0.219991i	$-0.0706029\pi$
$558$	9.61607	−	16.6555i	0.407081	−	0.705084i
$559$	12.6646	−	11.4732i	0.535656	−	0.485267i
$560$	−19.6872	+	25.3010i	−0.831937	+	1.06916i
$561$	20.0711	+	31.9429i	0.847401	+	1.34863i
$562$	51.3978	+	47.6902i	2.16808	+	2.01169i
$563$	−5.65146	−	0.851820i	−0.238181	−	0.0358999i	0.0288671	−	0.999583i	$-0.490810\pi$
$563$	−5.65146	−	0.851820i	−0.238181	−	0.0358999i	−0.267048	+	0.963683i	$0.586048\pi$
$564$	29.3037	−	21.6271i	1.23391	−	0.910665i
$565$	0.790873	+	21.1365i	0.0332723	+	0.889220i
$566$	9.73612	+	15.4950i	0.409240	+	0.651301i
$567$	−15.2506	+	5.54171i	−0.640466	+	0.232730i
$568$	−10.9307	−	47.8906i	−0.458643	−	2.00945i
$569$	−14.0888	−	8.13415i	−0.590632	−	0.341001i	0.174716	−	0.984619i	$-0.444099\pi$
$569$	−14.0888	−	8.13415i	−0.590632	−	0.341001i	−0.765347	+	0.643618i	$0.777433\pi$
$570$	95.9555	+	25.7112i	4.01914	+	1.07692i
$571$	−9.40982	−	10.1414i	−0.393789	−	0.424403i	0.504772	−	0.863253i	$-0.331577\pi$
$571$	−9.40982	−	10.1414i	−0.393789	−	0.424403i	−0.898561	+	0.438849i	$0.855386\pi$
$572$	−18.4402	−	54.7846i	−0.771022	−	2.29066i
$573$	9.33766	+	7.44654i	0.390086	+	0.311084i
$574$	42.1827	−	8.50436i	1.76067	−	0.354965i
$575$	−2.61138	−	3.27457i	−0.108902	−	0.136559i
$576$	−2.43069	+	7.88010i	−0.101279	+	0.328337i
$577$	9.63955	−	4.20569i	0.401300	−	0.175085i	−0.189542	−	0.981873i	$-0.560700\pi$
$577$	9.63955	−	4.20569i	0.401300	−	0.175085i	0.590842	+	0.806787i	$0.298796\pi$
$578$	−2.44397	−	2.10321i	−0.101656	−	0.0874818i
$579$	7.89137	+	3.44297i	0.327954	+	0.143085i
$580$	−11.2616	+	32.1837i	−0.467611	+	1.33635i
$581$	−33.9360	−	10.0257i	−1.40790	−	0.415934i
$582$	45.0026	−	93.4489i	1.86542	−	3.87358i
$583$	30.9638	−	26.6465i	1.28239	−	1.10359i
$584$	30.1555	−	9.30173i	1.24784	−	0.384908i
$585$	−16.4201	−	19.5469i	−0.678886	−	0.808163i
$586$	0.736897	+	4.88899i	0.0304409	+	0.201962i
$587$	3.07563	+	3.07563i	0.126945	+	0.126945i	0.767725	−	0.640780i	$-0.221389\pi$
$587$	3.07563	+	3.07563i	0.126945	+	0.126945i	−0.640780	+	0.767725i	$0.721389\pi$
$588$	36.3153	+	71.0193i	1.49762	+	2.92879i
$589$		−	16.2593i		−	0.669953i
$590$	−24.1019	+	32.6569i	−0.992260	+	1.34447i
$591$	−8.59151	−	45.4072i	−0.353408	−	1.86780i
$592$	33.6418	+	17.7802i	1.38267	+	0.730761i
$593$	0.0997262	+	0.115884i	0.00409526	+	0.00475878i	0.760016	−	0.649905i	$-0.225191\pi$
$593$	0.0997262	+	0.115884i	0.00409526	+	0.00475878i	−0.755920	+	0.654664i	$0.772810\pi$
$594$	7.94721	−	16.5025i	0.326078	−	0.677108i
$595$	−9.66741	+	17.2160i	−0.396325	+	0.705787i
$596$	−12.0994	−	4.23376i	−0.495611	−	0.173422i
$597$	53.7562	−	21.0978i	2.20009	−	0.863474i
$598$	−5.17047	+	25.6494i	−0.211436	+	1.04888i
$599$	−5.56350	+	14.1756i	−0.227318	+	0.579198i	−0.998339	−	0.0576125i	$-0.981651\pi$
$599$	−5.56350	+	14.1756i	−0.227318	+	0.579198i	0.771021	+	0.636810i	$0.219746\pi$
$600$	−10.6611	−	20.1718i	−0.435239	−	0.823512i
$601$	−12.5535	+	10.0111i	−0.512070	+	0.408362i	−0.845144	−	0.534539i	$-0.820485\pi$
$601$	−12.5535	+	10.0111i	−0.512070	+	0.408362i	0.333074	+	0.942901i	$0.391914\pi$
$602$	2.74442	+	31.5598i	0.111854	+	1.28628i
$603$	3.60604	+	32.0045i	0.146849	+	1.30332i
$604$	1.75089	−	9.25370i	0.0712429	−	0.376528i
$605$	−0.167861	+	4.48617i	−0.00682450	+	0.182389i
$606$	8.90407	−	33.2304i	0.361703	−	1.34989i
$607$	28.4790	+	16.4424i	1.15593	+	0.667376i	0.950325	−	0.311260i	$-0.100751\pi$
$607$	28.4790	+	16.4424i	1.15593	+	0.667376i	0.205604	+	0.978635i	$0.434084\pi$
$608$	−7.56185	−	33.1306i	−0.306674	−	1.34362i
$609$	20.3525	+	19.8721i	0.824723	+	0.805258i
$610$	7.79633	+	1.77946i	0.315664	+	0.0720482i
$611$	−9.82989	+	6.01435i	−0.397675	+	0.243314i
$612$	9.74300	−	64.6405i	0.393837	−	2.61294i
$613$	5.92052	−	4.36955i	0.239128	−	0.176484i	−0.467663	−	0.883907i	$-0.654904\pi$
$613$	5.92052	−	4.36955i	0.239128	−	0.176484i	0.706791	+	0.707422i	$0.250142\pi$
$614$	23.9188	−	25.7783i	0.965282	−	1.04033i
$615$	7.01117	−	30.7179i	0.282718	−	1.23867i
$616$	55.2069	+	18.5808i	2.22435	+	0.748641i
$617$	−28.1007	−	17.6568i	−1.13129	−	0.710837i	−0.169746	−	0.985488i	$-0.554295\pi$
$617$	−28.1007	−	17.6568i	−1.13129	−	0.710837i	−0.961544	+	0.274651i	$0.911438\pi$
$618$	−22.3093	+	5.97775i	−0.897410	+	0.240460i
$619$	−2.87755	−	0.771037i	−0.115659	−	0.0309906i	0.200526	−	0.979688i	$-0.435735\pi$
$619$	−2.87755	−	0.771037i	−0.115659	−	0.0309906i	−0.316184	+	0.948698i	$0.602402\pi$
$620$	12.2336	−	11.3511i	0.491312	−	0.455871i
$621$	−4.70356	+	3.20683i	−0.188747	+	0.128686i
$622$	4.14585	+	36.7954i	0.166233	+	1.47536i
$623$	−29.6918	−	31.2434i	−1.18958	−	1.25174i
$624$	−22.7216	+	55.9247i	−0.909591	+	2.23878i
$625$	14.8917	+	4.59347i	0.595666	+	0.183739i
$626$	42.6566	−	18.6109i	1.70490	−	0.743840i
$627$	−5.71261	−	76.2295i	−0.228140	−	3.04431i
$628$	−27.0102	−	68.8208i	−1.07782	−	2.74625i
$629$	22.1206	+	7.74035i	0.882008	+	0.308628i
$630$	47.2663	−	2.33408i	1.88314	−	0.0929922i
$631$	−0.841839	−	2.40584i	−0.0335131	−	0.0957749i	0.925911	−	0.377741i	$-0.123299\pi$
$631$	−0.841839	−	2.40584i	−0.0335131	−	0.0957749i	−0.959424	+	0.281966i	$0.909013\pi$
$632$	−54.8098	+	47.1676i	−2.18022	+	1.87623i
$633$	18.3377	+	59.4495i	0.728860	+	2.36291i
$634$	−2.01785	+	2.95964i	−0.0801389	+	0.117542i
$635$	−19.4329	+	26.3307i	−0.771172	+	1.04490i
$636$	−127.234			−5.04517
$637$	−9.50126	−	23.3822i	−0.376454	−	0.926436i
$638$	38.2132			1.51287
$639$	−18.2361	+	24.7090i	−0.721409	+	0.977474i
$640$	−14.8385	+	21.7641i	−0.586543	+	0.860301i
$641$	−0.343964	−	1.11510i	−0.0135858	−	0.0440439i	0.948526	−	0.316699i	$-0.102574\pi$
$641$	−0.343964	−	1.11510i	−0.0135858	−	0.0440439i	−0.962112	+	0.272655i	$0.912098\pi$
$642$	−43.1493	+	37.1329i	−1.70297	+	1.46552i
$643$	13.3205	+	38.0678i	0.525310	+	1.50125i	0.834912	+	0.550383i	$0.185518\pi$
$643$	13.3205	+	38.0678i	0.525310	+	1.50125i	−0.309602	+	0.950866i	$0.600196\pi$
$644$	−22.0239	−	24.9826i	−0.867864	−	0.984451i
$645$	21.8938	+	7.66099i	0.862069	+	0.301651i
$646$	−29.4062	−	74.9257i	−1.15697	−	2.94791i
$647$	0.555270	+	7.40956i	0.0218299	+	0.291300i	0.997425	+	0.0717212i	$0.0228492\pi$
$647$	0.555270	+	7.40956i	0.0218299	+	0.291300i	−0.975595	+	0.219579i	$0.929532\pi$
$648$	33.8269	−	14.7585i	1.32885	−	0.579769i
$649$	29.8451	+	9.20600i	1.17152	+	0.361367i
$650$	5.16537	+	12.2349i	0.202602	+	0.479893i
$651$	−4.26221	−	13.2537i	−0.167049	−	0.519455i
$652$	−0.639361	−	5.67449i	−0.0250393	−	0.222230i
$653$	2.28856	−	1.56031i	0.0895582	−	0.0610598i	−0.517713	−	0.855554i	$-0.673217\pi$
$653$	2.28856	−	1.56031i	0.0895582	−	0.0610598i	0.607271	+	0.794495i	$0.292264\pi$
$654$	−2.75466	+	2.55595i	−0.107716	+	0.0999455i
$655$	20.7830	+	5.56879i	0.812060	+	0.217591i
$656$	−40.0376	+	10.7280i	−1.56320	+	0.418859i
$657$	−16.7049	−	10.4964i	−0.651719	−	0.409502i
$658$	2.13819	−	21.2554i	0.0833554	−	0.828620i
$659$	−5.97458	+	26.1763i	−0.232737	+	1.01969i	0.714622	+	0.699511i	$0.246599\pi$
$659$	−5.97458	+	26.1763i	−0.232737	+	1.01969i	−0.947359	+	0.320175i	$0.896258\pi$
$660$	53.3672	−	57.5162i	2.07732	−	2.23881i
$661$	16.0049	−	11.8122i	0.622519	−	0.459440i	−0.236327	−	0.971674i	$-0.575944\pi$
$661$	16.0049	−	11.8122i	0.622519	−	0.459440i	0.858846	+	0.512234i	$0.171182\pi$
$662$	2.77583	−	18.4164i	0.107886	−	0.715775i
$663$	−8.70429	+	36.1450i	−0.338047	+	1.40375i
$664$	78.4665	+	17.9095i	3.04509	+	0.695022i
$665$	33.6198	−	21.6889i	1.30372	−	0.841061i
$666$	−12.4992	−	54.7626i	−0.484334	−	2.12201i
$667$	−10.2855	−	5.93831i	−0.398255	−	0.229932i
$668$	−6.30497	+	23.5305i	−0.243947	+	0.910422i
$669$	−1.54229	+	41.2185i	−0.0596283	+	1.59360i
$670$	−7.56711	+	39.9931i	−0.292343	+	1.54507i
$671$	−0.688986	−	6.11492i	−0.0265980	−	0.236064i
$672$	−14.8489	−	25.0241i	−0.572808	−	0.965325i
$673$	−20.2720	+	16.1664i	−0.781428	+	0.623168i	−0.930765	−	0.365618i	$-0.880858\pi$
$673$	−20.2720	+	16.1664i	−0.781428	+	0.623168i	0.149337	+	0.988786i	$0.452286\pi$
$674$	17.3850	+	32.8941i	0.669646	+	1.26703i
$675$	−1.05563	+	2.68969i	−0.0406311	+	0.103526i
$676$	25.9330	−	50.7215i	0.997425	−	1.95083i
$677$	−9.80266	+	3.84726i	−0.376747	+	0.147862i	−0.546156	−	0.837684i	$-0.683909\pi$
$677$	−9.80266	+	3.84726i	−0.376747	+	0.147862i	0.169409	+	0.985546i	$0.445814\pi$
$678$	−69.6873	−	24.3846i	−2.67632	−	0.936486i
$679$	−15.7245	−	38.7001i	−0.603453	−	1.48517i
$680$	19.4851	−	40.4613i	0.747221	−	1.55162i
$681$	37.2535	+	43.2894i	1.42756	+	1.65885i
$682$	−16.5357	−	8.73938i	−0.633185	−	0.334648i
$683$	5.45211	+	28.8151i	0.208619	+	1.10258i	0.917646	+	0.397398i	$0.130087\pi$
$683$	5.45211	+	28.8151i	0.208619	+	1.10258i	−0.709027	+	0.705181i	$0.750866\pi$
$684$	−78.6583	+	106.578i	−3.00757	+	4.07512i
$685$			1.22731i			0.0468930i
$686$	45.1738	+	12.1806i	1.72475	+	0.465057i
$687$	25.6097	+	25.6097i	0.977072	+	0.977072i
$688$	−4.54797	−	30.1738i	−0.173390	−	1.15037i
$689$	40.1073	+	3.48672i	1.52797	+	0.132834i
$690$	−33.9377	+	10.4684i	−1.29199	+	0.398525i
$691$	13.4944	−	11.6129i	0.513351	−	0.441774i	−0.357074	−	0.934076i	$-0.616225\pi$
$691$	13.4944	−	11.6129i	0.513351	−	0.441774i	0.870424	+	0.492302i	$0.163845\pi$
$692$	−27.8380	+	57.8061i	−1.05824	+	2.19746i
$693$	−13.7081	−	33.7375i	−0.520729	−	1.28158i
$694$	19.6840	−	56.2536i	0.747194	−	2.13536i
$695$	9.93832	+	4.33605i	0.376982	+	0.164476i
$696$	−49.0390	−	42.2015i	−1.85882	−	1.59964i
$697$	−23.3989	+	10.2088i	−0.886297	+	0.386687i
$698$	17.1421	−	55.5734i	0.648839	−	2.10348i
$699$	−19.6845	−	24.6836i	−0.744535	−	0.933618i
$700$	−16.3792	−	4.17981i	−0.619075	−	0.157982i
$701$	−27.1661	−	21.6643i	−1.02605	−	0.818248i	−0.0425392	−	0.999095i	$-0.513545\pi$
$701$	−27.1661	−	21.6643i	−1.02605	−	0.818248i	−0.983511	+	0.180847i	$0.942116\pi$
$702$	17.1077	−	5.75836i	0.645690	−	0.217335i
$703$	−32.3002	−	34.8113i	−1.21822	−	1.31293i
$704$	7.74636	+	2.07563i	0.291952	+	0.0782283i
$705$	−13.5463	−	7.82094i	−0.510182	−	0.294554i
$706$	2.23502	+	9.79228i	0.0841162	+	0.368537i
$707$	−7.51111	−	11.6429i	−0.282484	−	0.437876i
$708$	−51.7547	−	82.3671i	−1.94506	−	3.09554i
$709$	−0.240385	−	6.42441i	−0.00902783	−	0.241274i	−0.996506	−	0.0835192i	$-0.973384\pi$
$709$	−0.240385	−	6.42441i	−0.00902783	−	0.241274i	0.987478	−	0.157755i	$-0.0504255\pi$
$710$	−31.2269	+	23.0465i	−1.17193	+	0.864920i
$711$	44.7019	+	6.73772i	1.67645	+	0.252684i
$712$	71.8637	+	66.6798i	2.69321	+	2.49893i
$713$	3.09266	+	4.92194i	0.115821	+	0.184328i
$714$	−43.6114	−	53.3670i	−1.63212	−	1.99721i
$715$	−18.3988	+	16.6680i	−0.688076	+	0.623348i
$716$	−15.8852	+	27.5140i	−0.593659	+	1.02825i
$717$	15.4107	−	57.5136i	0.575524	−	2.14789i
$718$	−1.00996	+	0.937110i	−0.0376915	+	0.0349726i
$719$	−5.19765	+	3.54369i	−0.193839	+	0.132158i	−0.656351	−	0.754456i	$-0.727901\pi$
$719$	−5.19765	+	3.54369i	−0.193839	+	0.132158i	0.462511	+	0.886613i	$0.346948\pi$
$720$	−45.2981	+	5.10387i	−1.68816	+	0.190210i
$721$	−4.24795	+	8.27523i	−0.158202	+	0.308186i
$722$	−12.8869	+	114.374i	−0.479601	+	4.25657i
$723$	−17.9955	−	34.0492i	−0.669260	−	1.26630i
$724$	70.4006	+	27.6302i	2.61642	+	1.02687i
$725$	−6.01129	+	0.450484i	−0.223254	+	0.0167305i
$726$	−14.3628	−	6.26643i	−0.533054	−	0.232569i
$727$	−20.9694	+	10.0983i	−0.777713	+	0.374527i	−0.780248	−	0.625470i	$-0.784907\pi$
$727$	−20.9694	+	10.0983i	−0.777713	+	0.374527i	0.00253541	+	0.999997i	$0.499193\pi$
$728$	24.9084	+	51.7197i	0.923168	+	1.91686i
$729$	−34.7167	−	16.7187i	−1.28580	−	0.619211i
$730$	−16.2635	−	18.8985i	−0.601939	−	0.699465i
$731$	−5.53961	−	17.9590i	−0.204890	−	0.664236i
$732$	−10.7966	+	15.8357i	−0.399054	+	0.585305i
$733$	29.6276	+	21.8662i	1.09432	+	0.807646i	0.982533	−	0.186086i	$-0.0595805\pi$
$733$	29.6276	+	21.8662i	1.09432	+	0.807646i	0.111788	+	0.993732i	$0.464342\pi$
$734$	51.5257	+	51.5257i	1.90185	+	1.90185i
$735$	21.7195	−	26.4928i	0.801137	−	0.977201i
$736$	8.59082	+	8.59082i	0.316662	+	0.316662i
$737$	30.9712	−	4.66816i	1.14084	−	0.171954i
$738$	50.5558	+	34.4684i	1.86099	+	1.26880i
$739$	31.3656	+	16.5772i	1.15380	+	0.609803i	0.930985	−	0.365057i	$-0.118951\pi$
$739$	31.3656	+	16.5772i	1.15380	+	0.609803i	0.222818	+	0.974860i	$0.428474\pi$
$740$	3.64248	−	48.6056i	0.133900	−	1.78678i
$741$	49.8169	−	56.5120i	1.83007	−	2.07602i
$742$	−50.1046	+	55.3102i	−1.83940	+	2.03050i
$743$	1.52540	−	4.35934i	0.0559614	−	0.159929i	−0.912509	−	0.409056i	$-0.865858\pi$
$743$	1.52540	−	4.35934i	0.0559614	−	0.159929i	0.968471	+	0.249127i	$0.0801438\pi$
$744$	11.5688	+	29.4768i	0.424132	+	1.08067i
$745$	0.411421	+	5.49003i	0.0150733	+	0.201139i
$746$	3.59914	+	8.24932i	0.131774	+	0.302029i
$747$	−23.5113	−	44.4856i	−0.860235	−	1.62764i
$748$	−63.1728	−	7.11786i	−2.30983	−	0.260255i
$749$	−0.583623	+	22.9197i	−0.0213251	+	0.837466i
$750$	−49.7820	+	62.4246i	−1.81778	+	2.27943i
$751$	−12.1980	−	17.8912i	−0.445112	−	0.652860i	0.536466	−	0.843922i	$-0.319759\pi$
$751$	−12.1980	−	17.8912i	−0.445112	−	0.652860i	−0.981578	+	0.191062i	$0.938807\pi$
$752$	−0.769419	+	20.5631i	−0.0280578	+	0.749861i
$753$	−59.4873	+	34.3450i	−2.16784	+	1.25160i
$754$	26.3098	+	26.9444i	0.958145	+	0.981258i
$755$	−3.94340	+	0.900056i	−0.143515	+	0.0327564i
$756$	−7.32894	+	21.7756i	−0.266551	+	0.791971i
$757$	−6.71809	+	29.4339i	−0.244173	+	1.06979i	0.693003	+	0.720935i	$0.256287\pi$
$757$	−6.71809	+	29.4339i	−0.244173	+	1.06979i	−0.937176	+	0.348857i	$0.886570\pi$
$758$	40.8213	−	43.9949i	1.48270	−	1.59797i
$759$	16.2288	+	21.9892i	0.589068	+	0.798158i
$760$	−73.2175	+	54.0370i	−2.65588	+	1.96013i
$761$	49.2380	−	1.84236i	1.78488	−	0.0667853i	0.875614	−	0.483011i	$-0.160457\pi$
$761$	49.2380	−	1.84236i	1.78488	−	0.0667853i	0.909261	+	0.416226i	$0.136647\pi$
$762$	−60.7742	−	96.7216i	−2.20162	−	3.50385i
$763$	0.0180723	+	1.51332i	0.000654260	+	0.0547859i
$764$	−19.6216	+	4.47850i	−0.709884	+	0.162026i
$765$	−27.1189	+	7.26649i	−0.980487	+	0.262721i
$766$	−8.26113	−	14.3087i	−0.298487	−	0.516994i
$767$	14.0571	+	27.3824i	0.507573	+	0.988720i
$768$	−45.3731	−	66.5501i	−1.63726	−	2.40142i
$769$	−30.1585	+	3.39805i	−1.08754	+	0.122537i	−0.637485	−	0.770462i	$-0.720025\pi$
$769$	−30.1585	+	3.39805i	−1.08754	+	0.122537i	−0.450058	+	0.892999i	$0.648597\pi$
$770$	−3.98702	−	45.8491i	−0.143682	−	1.65229i
$771$	−10.2297	+	8.15795i	−0.368415	+	0.293801i
$772$	−12.8273	+	6.77944i	−0.461666	+	0.243997i
$773$	−34.8164	+	15.1902i	−1.25226	+	0.546355i	−0.918170	−	0.396186i	$-0.870333\pi$
$773$	−34.8164	+	15.1902i	−1.25226	+	0.546355i	−0.334089	+	0.942541i	$0.608429\pi$
$774$	−29.3825	+	34.1431i	−1.05613	+	1.22725i
$775$	2.70425	+	1.17985i	0.0971394	+	0.0423815i
$776$	41.2238	+	85.6020i	1.47985	+	3.07293i
$777$	−35.4548	−	19.9092i	−1.27194	−	0.714238i
$778$	−15.8633	−	45.3348i	−0.568728	−	1.62533i
$779$	51.5851	+	3.86577i	1.84823	+	0.138505i
$780$	77.2984	−	1.97021i	2.76773	−	0.0705450i
$781$	24.6757	+	16.8236i	0.882964	+	0.601995i
$782$	23.1532	+	17.0878i	0.827957	+	0.611060i
$783$			8.19339i			0.292808i
$784$	−44.1647	−	8.97637i	−1.57731	−	0.320585i
$785$	−22.4522	+	22.4522i	−0.801355	+	0.801355i
$786$	−44.5982	+	60.4285i	−1.59077	+	2.15541i
$787$	−16.9329	+	3.20387i	−0.603591	+	0.114206i	−0.478720	−	0.877967i	$-0.658899\pi$
$787$	−16.9329	+	3.20387i	−0.603591	+	0.114206i	−0.124871	+	0.992173i	$0.539852\pi$
$788$	68.8508	+	36.3887i	2.45271	+	1.29629i
$789$	−32.6647	−	2.44788i	−1.16289	−	0.0871469i
$790$	51.4739	+	24.7885i	1.83136	+	0.881936i
$791$	−26.1211	+	14.2070i	−0.928760	+	0.505144i
$792$	35.9375	+	74.6250i	1.27698	+	2.65168i
$793$	3.83731	−	4.69593i	0.136267	−	0.166757i
$794$	3.16060	−	0.236854i	0.112165	−	0.00840563i
$795$	21.8521	+	50.0854i	0.775012	+	1.77635i
$796$	−28.6837	+	92.9904i	−1.01667	+	3.29596i
$797$	0.586565	+	0.735530i	0.0207772	+	0.0260538i	0.792112	−	0.610376i	$-0.208982\pi$
$797$	0.586565	+	0.735530i	0.0207772	+	0.0260538i	−0.771334	+	0.636430i	$0.780410\pi$
$798$	27.6000	+	136.899i	0.977029	+	4.84618i
$799$	1.41900	+	12.5940i	0.0502007	+	0.445544i
$800$	6.05901	+	1.14643i	0.214218	+	0.0405323i
$801$	2.29162	−	61.2449i	0.0809705	−	2.16398i
$802$	−7.57918	−	13.1275i	−0.267630	−	0.463549i
$803$	−9.59306	+	16.6157i	−0.338532	+	0.586354i
$804$	−82.6001	−	51.9011i	−2.91308	−	1.83041i
$805$	−6.05179	+	12.9603i	−0.213298	+	0.456792i
$806$	−5.22262	−	17.6765i	−0.183959	−	0.622629i
$807$	−48.3351	−	44.8484i	−1.70147	−	1.57874i
$808$	18.7136	+	25.3560i	0.658342	+	0.892021i
$809$	25.1294	+	3.78765i	0.883504	+	0.133167i	0.575095	−	0.818087i	$-0.304965\pi$
$809$	25.1294	+	3.78765i	0.883504	+	0.133167i	0.308409	+	0.951254i	$0.400203\pi$
$810$	−21.3750	−	19.8331i	−0.751043	−	0.696866i
$811$	−28.9672	+	18.2013i	−1.01717	+	0.639133i	−0.933952	−	0.357398i	$-0.883664\pi$
$811$	−28.9672	+	18.2013i	−1.01717	+	0.639133i	−0.0832221	+	0.996531i	$0.526521\pi$
$812$	−47.5651	+	5.93532i	−1.66921	+	0.208289i
$813$	28.3315	−	45.0893i	0.993628	−	1.58135i
$814$	−52.7645	+	14.1382i	−1.84939	+	0.495543i
$815$	−2.12394	+	1.22626i	−0.0743984	+	0.0429539i
$816$	45.1548	+	48.6653i	1.58073	+	1.70363i
$817$	−7.07995	+	37.4185i	−0.247696	+	1.30911i
$818$	48.6318	−	60.9824i	1.70037	−	2.13220i
$819$	14.3505	−	32.8940i	0.501448	−	1.14941i
$820$	33.1044	+	41.5116i	1.15606	+	1.44965i
$821$	5.69560	−	3.01021i	0.198778	−	0.105057i	−0.364918	−	0.931040i	$-0.618903\pi$
$821$	5.69560	−	3.01021i	0.198778	−	0.105057i	0.563696	+	0.825983i	$0.309379\pi$
$822$	−3.98788	−	1.56513i	−0.139093	−	0.0545901i
$823$	−51.6839	+	3.87318i	−1.80159	+	0.135010i	−0.932851	−	0.360262i	$-0.882687\pi$
$823$	−51.6839	+	3.87318i	−1.80159	+	0.135010i	−0.868738	+	0.495273i	$0.835068\pi$
$824$	8.46046	−	19.3916i	0.294734	−	0.675538i
$825$	13.0930	+	4.58145i	0.455840	+	0.159505i
$826$	−56.1868	−	9.93767i	−1.95499	−	0.345776i
$827$	15.0461	+	42.9993i	0.523205	+	1.49523i	0.837784	+	0.546002i	$0.183851\pi$
$827$	15.0461	+	42.9993i	0.523205	+	1.49523i	−0.314580	+	0.949231i	$0.601864\pi$
$828$	3.53897	−	47.2243i	0.122988	−	1.64116i
$829$	−1.65696	+	0.511106i	−0.0575488	+	0.0177514i	−0.323396	−	0.946264i	$-0.604825\pi$
$829$	−1.65696	+	0.511106i	−0.0575488	+	0.0177514i	0.265847	+	0.964015i	$0.414348\pi$
$830$	−11.8220	−	62.4807i	−0.410347	−	2.16874i
$831$	14.4992	−	2.18541i	0.502972	−	0.0758109i
$832$	3.86982	+	6.89110i	0.134162	+	0.238906i
$833$	−27.7212	−	1.41269i	−0.960482	−	0.0489469i
$834$	−26.7630	+	26.7630i	−0.926725	+	0.926725i
$835$	10.3456	−	1.55934i	0.358023	−	0.0539633i
$836$	106.434	+	72.5656i	3.68110	+	2.50973i
$837$	1.87383	−	3.54547i	0.0647692	−	0.122549i
$838$	45.3999	−	39.0697i	1.56831	−	1.34964i
$839$	−11.8066	+	4.13132i	−0.407611	+	0.142629i	−0.526293	−	0.850303i	$-0.676419\pi$
$839$	−11.8066	+	4.13132i	−0.407611	+	0.142629i	0.118683	+	0.992932i	$0.462133\pi$
$840$	−45.5178	+	63.2414i	−1.57051	+	2.18203i
$841$	10.7272	−	5.16596i	0.369904	−	0.178137i
$842$	−77.6215	+	30.4642i	−2.67501	+	1.04987i
$843$	54.7045	+	47.0770i	1.88412	+	1.62142i
$844$	−97.5914	−	38.3018i	−3.35924	−	1.31840i
$845$	−24.4203	−	1.49722i	−0.840084	−	0.0515061i
$846$	23.7492	−	18.9393i	0.816513	−	0.651147i
$847$	−5.75398	+	2.59266i	−0.197709	+	0.0890848i
$848$	44.8212	−	56.2040i	1.53917	−	1.93005i
$849$	10.6112	+	15.5638i	0.364175	+	0.534147i
$850$	14.5955	+	0.546125i	0.500621	+	0.0187319i
$851$	16.3992	+	4.39414i	0.562156	+	0.150629i
$852$	−24.0747	−	89.8481i	−0.824787	−	3.07815i
$853$	10.6064	+	6.66447i	0.363157	+	0.228187i	0.701233	−	0.712932i	$-0.252633\pi$
$853$	10.6064	+	6.66447i	0.363157	+	0.228187i	−0.338076	+	0.941119i	$0.609776\pi$
$854$	2.63228	+	10.9295i	0.0900748	+	0.374000i
$855$	55.4635	+	12.6592i	1.89681	+	0.432935i
$856$	−1.94984	−	52.1106i	−0.0666442	−	1.78111i
$857$	6.45792	+	0.973375i	0.220598	+	0.0332499i	0.258411	−	0.966035i	$-0.416801\pi$
$857$	6.45792	+	0.973375i	0.220598	+	0.0332499i	−0.0378129	+	0.999285i	$0.512039\pi$
$858$	−30.6961	−	81.0390i	−1.04795	−	2.76662i
$859$	29.2866	−	31.5635i	0.999247	−	1.07693i	0.00221120	−	0.999998i	$-0.499296\pi$
$859$	29.2866	−	31.5635i	0.999247	−	1.07693i	0.997036	−	0.0769349i	$-0.0245134\pi$
$860$	−33.0965	+	20.7959i	−1.12858	+	0.709135i
$861$	43.0628	−	10.3713i	1.46758	−	0.353454i
$862$	17.4674	−	3.98682i	0.594941	−	0.135791i
$863$	5.65247	+	21.0953i	0.192412	+	0.718092i	0.992922	+	0.118772i	$0.0378958\pi$
$863$	5.65247	+	21.0953i	0.192412	+	0.718092i	−0.800509	+	0.599320i	$0.795438\pi$
$864$	2.16928	−	8.09587i	0.0738005	−	0.275427i
$865$	27.5363	+	1.03034i	0.936262	+	0.0350325i
$866$	−6.47850	+	34.2397i	−0.220148	+	1.16351i
$867$	−2.59487	−	2.06934i	−0.0881266	−	0.0702786i
$868$	21.9399	+	8.30983i	0.744690	+	0.282054i
$869$	4.92232	−	43.6868i	0.166978	−	1.48197i
$870$	−15.0668	+	48.8455i	−0.510814	+	1.65602i
$871$	24.6152	+	18.6240i	0.834055	+	0.631051i
$872$	−0.257240	−	3.43263i	−0.00871125	−	0.116244i
$873$	23.7528	−	54.4421i	0.803912	−	1.84259i
$874$	−25.2995	−	52.5350i	−0.855769	−	1.77702i
$875$	5.17207	+	31.7380i	0.174848	+	1.07294i
$876$	56.4037	−	19.7365i	1.90571	−	0.666835i
$877$	−35.2635	−	40.9769i	−1.19076	−	1.38369i	−0.905011	−	0.425388i	$-0.860138\pi$
$877$	−35.2635	−	40.9769i	−1.19076	−	1.38369i	−0.285752	−	0.958304i	$-0.592243\pi$
$878$	3.75980	−	7.11388i	0.126887	−	0.240082i
$879$	0.946159	+	5.00057i	0.0319132	+	0.168665i
$880$	6.60716	+	43.8356i	0.222727	+	1.47770i
$881$	18.8039			0.633521			0.316760	−	0.948506i	$-0.397405\pi$
$881$	18.8039			0.633521			0.316760	+	0.948506i	$0.397405\pi$
$882$	32.4824	+	58.0596i	1.09374	+	1.95497i
$883$		−	27.7131i		−	0.932619i	−0.884622	−	0.466310i	$-0.845583\pi$
$883$		−	27.7131i		−	0.932619i	0.884622	−	0.466310i	$-0.154417\pi$
$884$	−38.4756	−	49.4443i	−1.29407	−	1.66299i
$885$	−23.5349	+	34.5194i	−0.791117	+	1.16036i
$886$	10.6349	−	20.1223i	0.357288	−	0.676022i
$887$	22.6431	+	1.69687i	0.760282	+	0.0569753i	0.449228	−	0.893417i	$-0.351699\pi$
$887$	22.6431	+	1.69687i	0.760282	+	0.0569753i	0.311054	+	0.950392i	$0.399318\pi$
$888$	83.3265	+	40.1279i	2.79625	+	1.34660i
$889$	−45.3024	−	8.01256i	−1.51939	−	0.268733i
$890$	25.5816	−	73.1081i	0.857498	−	2.45059i
$891$	−8.97280	+	20.5659i	−0.300600	+	0.688982i
$892$	−52.6848	−	45.3390i	−1.76402	−	1.51806i
$893$	9.38226	−	23.9056i	0.313966	−	0.799971i
$894$	−18.3634	−	5.66435i	−0.614163	−	0.189444i
$895$	13.5591	+	1.52774i	0.453229	+	0.0510667i
$896$	−36.6803	−	5.08148i	−1.22540	−	0.169760i
$897$	−4.33127	+	26.5826i	−0.144617	+	0.887568i
$898$	16.8901	−	11.5155i	0.563631	−	0.384277i
$899$	8.36050	+	0.312828i	0.278838	+	0.0104334i
$900$	−12.0183	−	20.8162i	−0.400609	−	0.693875i
$901$	22.1378	−	38.3437i	0.737515	−	1.27741i
$902$	31.6585	−	50.3841i	1.05411	−	1.67761i
$903$	4.03767	+	32.3575i	0.134365	+	1.07679i
$904$	57.2647	−	35.9818i	1.90460	−	1.19674i
$905$	−1.21451	−	32.4584i	−0.0403716	−	1.07895i
$906$	2.10429	−	13.9611i	0.0699104	−	0.463825i
$907$	4.00290	−	26.5575i	0.132914	−	0.881828i	−0.818631	−	0.574319i	$-0.805267\pi$
$907$	4.00290	−	26.5575i	0.132914	−	0.881828i	0.951545	−	0.307508i	$-0.0994952\pi$
$908$	−96.1747	+	3.59860i	−3.19167	+	0.119424i
$909$	4.38401	−	19.2076i	0.145408	−	0.637076i
$910$	29.5835	−	34.3784i	0.980684	−	1.13963i
$911$	12.7170	+	55.7168i	0.421333	+	1.84598i	0.524633	+	0.851328i	$0.324202\pi$
$911$	12.7170	+	55.7168i	0.421333	+	1.84598i	−0.103301	+	0.994650i	$0.532940\pi$
$912$	−34.8167	−	129.938i	−1.15290	−	4.30266i
$913$	−42.3767	+	24.4662i	−1.40247	+	0.809714i
$914$	40.4670	+	43.6130i	1.33853	+	1.44259i
$915$	8.08798	+	1.53033i	0.267380	+	0.0505911i
$916$	−60.6481	+	6.83340i	−2.00387	+	0.225782i
$917$	5.97788	+	29.6510i	0.197407	+	0.979164i
$918$	2.22271	−	19.7271i	0.0733604	−	0.651092i
$919$	−24.9785	−	7.70484i	−0.823964	−	0.254159i	−0.146029	−	0.989280i	$-0.546649\pi$
$919$	−24.9785	−	7.70484i	−0.823964	−	0.254159i	−0.677936	+	0.735121i	$0.737125\pi$
$920$	11.8858	−	30.2844i	0.391862	−	0.998448i
$921$	23.6112	−	27.4368i	0.778017	−	0.904072i
$922$	34.1283	+	86.9574i	1.12395	+	2.86379i
$923$	5.12674	+	28.9820i	0.168749	+	0.953955i
$924$	105.782	+	31.2510i	3.47997	+	1.02808i
$925$	8.13367	−	2.84609i	0.267433	−	0.0935790i
$926$	−3.01227	+	40.1959i	−0.0989893	+	1.32092i
$927$	−12.6390	+	3.89862i	−0.415120	+	0.128048i
$928$	17.1812	−	3.25086i	0.564001	−	0.106715i
$929$	10.7440	+	7.92947i	0.352501	+	0.260157i	0.755648	−	0.654978i	$-0.227322\pi$
$929$	10.7440	+	7.92947i	0.352501	+	0.260157i	−0.403148	+	0.915135i	$0.632084\pi$
$930$	17.6908	−	17.6908i	0.580103	−	0.580103i
$931$	48.3247	+	28.7781i	1.58378	+	0.943165i
$932$	53.2024			1.74270
$933$	5.68072	+	37.6891i	0.185978	+	1.23389i
$934$	−46.9820	+	8.88947i	−1.53730	+	0.290872i
$935$	8.04778	+	26.0903i	0.263191	+	0.853243i
$936$	−27.8757	+	76.7191i	−0.911147	+	2.50764i
$937$	17.5537	−	36.4506i	0.573454	−	1.19079i	−0.389475	−	0.921037i	$-0.627344\pi$
$937$	17.5537	−	36.4506i	0.573454	−	1.19079i	0.962930	−	0.269753i	$-0.0869420\pi$
$938$	−55.0898	+	15.4686i	−1.79874	+	0.505069i
$939$	43.1613	−	20.7854i	1.40852	−	0.678305i
$940$	24.5367	−	9.62995i	0.800299	−	0.314094i
$941$	31.6355	−	36.7611i	1.03129	−	1.19838i	0.0514302	−	0.998677i	$-0.483622\pi$
$941$	31.6355	−	36.7611i	1.03129	−	1.19838i	0.979857	−	0.199701i	$-0.0639970\pi$
$942$	−44.3216	−	101.586i	−1.44408	−	3.30986i
$943$	−16.3509	+	8.64169i	−0.532458	+	0.281412i
$944$	54.6163	+	6.15378i	1.77761	+	0.200288i
$945$	9.83064	−	0.854868i	0.319791	−	0.0278089i
$946$	34.2491	+	27.3127i	1.11353	+	0.888014i
$947$	−22.6375	−	4.28325i	−0.735621	−	0.139187i	−0.195416	−	0.980720i	$-0.562606\pi$
$947$	−22.6375	−	4.28325i	−0.735621	−	0.139187i	−0.540205	+	0.841533i	$0.681653\pi$
$948$	−100.375	+	93.1347i	−3.26004	+	3.02487i
$949$	−18.3207	+	4.67574i	−0.594714	+	0.151781i
$950$	−25.6307	−	14.7979i	−0.831568	−	0.480106i
$951$	−1.96169	+	3.12202i	−0.0636122	+	0.101238i
$952$	63.1285	−	0.753889i	2.04601	−	0.0244337i
$953$	−5.29425	−	1.20838i	−0.171498	−	0.0391432i	0.135910	−	0.990721i	$-0.456604\pi$
$953$	−5.29425	−	1.20838i	−0.171498	−	0.0391432i	−0.307407	+	0.951578i	$0.599461\pi$
$954$	−106.045	+	3.96794i	−3.43335	+	0.128467i
$955$	5.13289	+	6.95482i	0.166096	+	0.225053i
$956$	59.5825	+	80.7314i	1.92703	+	2.61104i
$957$	39.3070	−	1.47076i	1.27061	−	0.0475430i
$958$	85.4583	+	19.5053i	2.76103	+	0.630188i
$959$	−1.54545	+	0.767115i	−0.0499050	+	0.0247714i
$960$	−5.70742	+	9.08330i	−0.184206	+	0.293162i
$961$	23.3006	+	13.4526i	0.751631	+	0.433954i
$962$	−46.2973	−	27.4705i	−1.49268	−	0.885685i
$963$	−23.8981	+	22.1742i	−0.770106	+	0.714554i
$964$	63.7670	+	12.0654i	2.05380	+	0.388600i
$965$	4.87176	+	3.88510i	0.156828	+	0.125066i
$966$	−34.3944	−	36.1917i	−1.10662	−	1.16445i
$967$	57.5994	+	6.48989i	1.85227	+	0.208701i	0.966719	−	0.255840i	$-0.0823520\pi$
$967$	57.5994	+	6.48989i	1.85227	+	0.208701i	0.885552	+	0.464541i	$0.153781\pi$
$968$	12.6910	−	6.70739i	0.407904	−	0.215584i
$969$	−33.1317	−	75.9386i	−1.06434	−	2.43950i
$970$	48.9650	−	56.8983i	1.57217	−	1.82689i
$971$	1.82243	−	0.715252i	0.0584846	−	0.0229535i	−0.335918	−	0.941891i	$-0.609047\pi$
$971$	1.82243	−	0.715252i	0.0584846	−	0.0229535i	0.394403	+	0.918938i	$0.370951\pi$
$972$	86.4369	−	41.6258i	2.77246	−	1.33515i
$973$	0.751819	+	15.2247i	0.0241022	+	0.488081i
$974$	−41.0095	+	85.1572i	−1.31403	+	2.72861i
$975$	5.78412	+	12.3863i	0.185240	+	0.396680i
$976$	−3.19186	−	10.3478i	−0.102169	−	0.331223i
$977$	−28.9045	+	5.46902i	−0.924737	+	0.174970i	−0.626410	−	0.779494i	$-0.715476\pi$
$977$	−28.9045	+	5.46902i	−0.924737	+	0.174970i	−0.298327	+	0.954464i	$0.596429\pi$
$978$	−1.27591	−	8.46509i	−0.0407990	−	0.270684i
$979$	−59.6019			−1.90488
$980$	12.0841	+	56.4506i	0.386013	+	1.80325i
$981$	−1.52169	+	1.52169i	−0.0485839	+	0.0485839i
$982$	68.4992	+	50.5547i	2.18590	+	1.61327i
$983$	−14.0952	+	2.66696i	−0.449568	+	0.0850628i	−0.405765	−	0.913977i	$-0.632995\pi$
$983$	−14.0952	+	2.66696i	−0.449568	+	0.0850628i	−0.0438026	+	0.999040i	$0.513947\pi$
$984$	−96.2701	+	29.6954i	−3.06898	+	0.946654i
$985$	2.49943	−	33.3526i	0.0796384	−	1.06270i
$986$	39.0925	−	13.6790i	1.24496	−	0.435630i
$987$	1.38131	−	21.9461i	0.0439676	−	0.698551i
$988$	22.1133	+	125.009i	0.703518	+	3.97707i
$989$	−4.97410	−	12.6738i	−0.158167	−	0.403003i
$990$	42.6860	−	49.6021i	1.35665	−	1.57646i
$991$	1.75882	−	4.48141i	0.0558709	−	0.142357i	−0.900213	−	0.435450i	$-0.856589\pi$
$991$	1.75882	−	4.48141i	0.0558709	−	0.142357i	0.956084	+	0.293093i	$0.0946846\pi$
$992$	−8.17817	−	2.52263i	−0.259657	−	0.0800937i
$993$	2.14647	−	19.0504i	0.0681161	−	0.604547i
$994$	−48.5386	−	24.9165i	−1.53955	−	0.790303i
$995$	41.5318	−	4.67951i	1.31665	−	0.148350i
$996$	149.748	+	28.3338i	4.74495	+	0.897792i
$997$	19.3113	+	20.8126i	0.611594	+	0.659142i	0.960586	−	0.277984i	$-0.0896663\pi$
$997$	19.3113	+	20.8126i	0.611594	+	0.659142i	−0.348992	+	0.937126i	$0.613476\pi$
$998$	12.8279	−	7.40620i	0.406061	−	0.234439i
$999$	−3.03141	−	11.3134i	−0.0959095	−	0.357939i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	637.2.cc.a.5.5	✓	1536
13.8	odd	4	inner	637.2.cc.a.593.5	yes	1536
49.10	odd	42	inner	637.2.cc.a.304.5	yes	1536
637.255	even	84	inner	637.2.cc.a.255.5	yes	1536

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
637.2.cc.a.5.5	✓	1536	1.1	even	1	trivial
637.2.cc.a.255.5	yes	1536	637.255	even	84	inner
637.2.cc.a.304.5	yes	1536	49.10	odd	42	inner
637.2.cc.a.593.5	yes	1536	13.8	odd	4	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 637 = 7^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	637.cc (of order \(84\), degree \(24\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.50015 + 2.03263i) q^{2} +(-1.46486 + 2.14855i) q^{3} +(-1.29163 - 4.18737i) q^{4} +(-1.42651 + 1.22761i) q^{5} +(-2.16971 - 6.20067i) q^{6} +(-2.43746 - 1.02898i) q^{7} +(5.68000 + 1.98752i) q^{8} +(-1.37445 - 3.50203i) q^{9} +(-0.355302 - 4.74118i) q^{10} +(-3.35334 + 1.46305i) q^{11} +(10.8888 + 3.35876i) q^{12} +(-3.34038 - 1.35716i) q^{13} +(5.74810 - 3.41083i) q^{14} +(-0.547953 - 4.86322i) q^{15} +(-5.31953 + 3.62679i) q^{16} +(-2.90678 + 2.69709i) q^{17} +(9.18021 + 2.45983i) q^{18} +(7.76117 - 2.07960i) q^{19} +(6.98299 + 4.38771i) q^{20} +(5.78135 - 3.72969i) q^{21} +(2.05668 - 9.01089i) q^{22} +(-1.95387 + 2.10577i) q^{23} +(-12.5907 + 9.29235i) q^{24} +(-0.217308 + 1.44174i) q^{25} +(7.76967 - 4.75382i) q^{26} +(1.93205 + 0.440978i) q^{27} +(-1.16043 + 11.5356i) q^{28} +(0.920002 + 4.03079i) q^{29} +(10.7071 + 6.18177i) q^{30} +(0.523739 - 1.95462i) q^{31} +(0.158141 - 4.22640i) q^{32} +(1.76873 - 9.34798i) q^{33} +(-1.12160 - 9.95446i) q^{34} +(4.74025 - 1.52440i) q^{35} +(-12.8890 + 10.2786i) q^{36} +(-2.76165 - 5.22530i) q^{37} +(-7.41586 + 18.8953i) q^{38} +(7.80911 - 5.18893i) q^{39} +(-10.5425 + 4.13763i) q^{40} +(6.07680 + 2.12636i) q^{41} +(-1.09181 + 17.3465i) q^{42} +(-2.05643 + 4.27022i) q^{43} +(10.4576 + 12.1519i) q^{44} +(6.25980 + 3.30840i) q^{45} +(-1.34916 - 7.13046i) q^{46} +(1.89793 - 2.57161i) q^{47} -16.7420i q^{48} +(4.88239 + 5.01620i) q^{49} +(-2.60454 - 2.60454i) q^{50} +(-1.53683 - 10.1962i) q^{51} +(-1.36838 + 15.7403i) q^{52} +(-10.6697 + 3.29115i) q^{53} +(-3.79471 + 3.26561i) q^{54} +(2.98752 - 6.20366i) q^{55} +(-11.7996 - 10.6891i) q^{56} +(-6.90088 + 19.7216i) q^{57} +(-9.57326 - 4.17677i) q^{58} +(-6.47064 - 5.56844i) q^{59} +(-19.6563 + 8.57596i) q^{60} +(-0.495766 + 1.60723i) q^{61} +(3.18734 + 3.99679i) q^{62} +(-0.253374 + 9.95033i) q^{63} +(-1.71377 - 1.36668i) q^{64} +(6.43116 - 2.16469i) q^{65} +(16.3476 + 17.6186i) q^{66} +(-8.26922 - 2.21573i) q^{67} +(15.0482 + 8.68808i) q^{68} +(-1.66221 - 7.28263i) q^{69} +(-4.01255 + 11.9220i) q^{70} +(-4.34296 - 6.91178i) q^{71} +(-0.846503 - 22.6233i) q^{72} +(4.21940 - 3.11406i) q^{73} +(14.7640 + 2.22532i) q^{74} +(-2.77934 - 2.57885i) q^{75} +(-18.7326 - 29.8128i) q^{76} +(9.67906 - 0.115589i) q^{77} +(-1.16765 + 23.6572i) q^{78} +(-6.00820 + 10.4065i) q^{79} +(3.13607 - 11.7040i) q^{80} +(4.49577 - 4.17147i) q^{81} +(-13.4382 + 9.16203i) q^{82} +(13.2905 - 1.49748i) q^{83} +(-23.0850 - 19.3912i) q^{84} +(0.835564 - 7.41584i) q^{85} +(-5.59483 - 10.5859i) q^{86} +(-10.0080 - 3.92787i) q^{87} +(-21.9548 + 1.64529i) q^{88} +(14.9316 + 6.51459i) q^{89} +(-16.1154 + 7.76077i) q^{90} +(6.74553 + 6.74520i) q^{91} +(11.3413 + 5.46168i) q^{92} +(3.43240 + 3.98852i) q^{93} +(2.37995 + 7.71560i) q^{94} +(-8.51846 + 12.4943i) q^{95} +(8.84898 + 6.53084i) q^{96} +(11.1642 + 11.1642i) q^{97} +(-17.5204 + 2.39906i) q^{98} +(9.73261 + 9.73261i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1536 q - 26 q^{2} - 44 q^{3} - 22 q^{5} - 28 q^{6} - 22 q^{7} - 12 q^{8} - 176 q^{9} - 22 q^{11} - 28 q^{13} - 84 q^{14} - 8 q^{15} - 180 q^{16} - 18 q^{18} - 54 q^{19} - 28 q^{20} - 2 q^{21} - 48 q^{22}+ \cdots - 32 q^{99}+O(q^{100}) \) 1536 * q - 26 * q^2 - 44 * q^3 - 22 * q^5 - 28 * q^6 - 22 * q^7 - 12 * q^8 - 176 * q^9 - 22 * q^11 - 28 * q^13 - 84 * q^14 - 8 * q^15 - 180 * q^16 - 18 * q^18 - 54 * q^19 - 28 * q^20 - 2 * q^21 - 48 * q^22 + 68 * q^24 - 52 * q^26 - 56 * q^27 + 62 * q^28 - 48 * q^29 - 66 * q^31 - 32 * q^32 - 76 * q^33 + 28 * q^34 - 140 * q^35 - 62 * q^37 - 16 * q^39 + 76 * q^40 - 28 * q^41 + 128 * q^42 - 226 * q^44 + 66 * q^45 - 32 * q^46 + 68 * q^47 + 156 * q^50 + 48 * q^52 - 48 * q^53 - 64 * q^54 + 28 * q^55 - 62 * q^57 - 22 * q^58 + 54 * q^59 - 88 * q^60 - 8 * q^61 - 150 * q^63 - 12 * q^65 + 72 * q^66 - 30 * q^67 - 36 * q^68 + 62 * q^70 + 104 * q^71 - 54 * q^72 - 136 * q^73 + 12 * q^74 + 28 * q^76 + 68 * q^78 - 16 * q^79 - 180 * q^80 + 64 * q^81 + 70 * q^83 + 30 * q^84 - 96 * q^85 + 30 * q^86 + 416 * q^87 - 38 * q^89 - 196 * q^91 - 180 * q^92 + 38 * q^93 - 264 * q^94 - 350 * q^96 - 390 * q^98 - 32 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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