LMFDB - Embedded newform 637.2.cc.a.593.5

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			593.5
Character	$\chi$	$=$	637.593
Dual form			637.2.cc.a.304.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-2.03263 - 1.50015i) q^{2} +(-1.46486 + 2.14855i) q^{3} +(1.29163 + 4.18737i) q^{4} +(-1.22761 - 1.42651i) q^{5} +(6.20067 - 2.16971i) q^{6} +(-1.02898 + 2.43746i) q^{7} +(1.98752 - 5.68000i) q^{8} +(-1.37445 - 3.50203i) q^{9} +(0.355302 + 4.74118i) q^{10} +(1.46305 + 3.35334i) q^{11} +(-10.8888 - 3.35876i) q^{12} +(0.579828 + 3.55862i) q^{13} +(5.74810 - 3.41083i) q^{14} +(4.86322 - 0.547953i) q^{15} +(-5.31953 + 3.62679i) q^{16} +(2.90678 - 2.69709i) q^{17} +(-2.45983 + 9.18021i) q^{18} +(2.07960 + 7.76117i) q^{19} +(4.38771 - 6.98299i) q^{20} +(-3.72969 - 5.78135i) q^{21} +(2.05668 - 9.01089i) q^{22} +(1.95387 - 2.10577i) q^{23} +(9.29235 + 12.5907i) q^{24} +(0.217308 - 1.44174i) q^{25} +(4.15990 - 8.10320i) q^{26} +(1.93205 + 0.440978i) q^{27} +(-11.5356 - 1.16043i) q^{28} +(0.920002 + 4.03079i) q^{29} +(-10.7071 - 6.18177i) q^{30} +(1.95462 + 0.523739i) q^{31} +(4.22640 + 0.158141i) q^{32} +(-9.34798 - 1.76873i) q^{33} +(-9.95446 + 1.12160i) q^{34} +(4.74025 - 1.52440i) q^{35} +(12.8890 - 10.2786i) q^{36} +(-5.22530 + 2.76165i) q^{37} +(7.41586 - 18.8953i) q^{38} +(-8.49526 - 3.96709i) q^{39} +(-10.5425 + 4.13763i) q^{40} +(-2.12636 + 6.07680i) q^{41} +(-1.09181 + 17.3465i) q^{42} +(2.05643 - 4.27022i) q^{43} +(-12.1519 + 10.4576i) q^{44} +(-3.30840 + 6.25980i) q^{45} +(-7.13046 + 1.34916i) q^{46} +(-2.57161 - 1.89793i) q^{47} -16.7420i q^{48} +(-4.88239 - 5.01620i) q^{49} +(-2.60454 + 2.60454i) q^{50} +(1.53683 + 10.1962i) q^{51} +(-14.1523 + 7.02438i) q^{52} +(-10.6697 + 3.29115i) q^{53} +(-3.26561 - 3.79471i) q^{54} +(2.98752 - 6.20366i) q^{55} +(11.7996 + 10.6891i) q^{56} +(-19.7216 - 6.90088i) q^{57} +(4.17677 - 9.57326i) q^{58} +(-5.56844 + 6.47064i) q^{59} +(8.57596 + 19.6563i) q^{60} +(-0.495766 + 1.60723i) q^{61} +(-3.18734 - 3.99679i) q^{62} +(9.95033 + 0.253374i) q^{63} +(1.71377 + 1.36668i) q^{64} +(4.36462 - 5.19574i) q^{65} +(16.3476 + 17.6186i) q^{66} +(2.21573 - 8.26922i) q^{67} +(15.0482 + 8.68808i) q^{68} +(1.66221 + 7.28263i) q^{69} +(-11.9220 - 4.01255i) q^{70} +(6.91178 - 4.34296i) q^{71} +(-22.6233 + 0.846503i) q^{72} +(-3.11406 - 4.21940i) q^{73} +(14.7640 + 2.22532i) q^{74} +(2.77934 + 2.57885i) q^{75} +(-29.8128 + 18.7326i) q^{76} +(-9.67906 + 0.115589i) q^{77} +(11.3165 + 20.8078i) q^{78} +(-6.00820 + 10.4065i) q^{79} +(11.7040 + 3.13607i) q^{80} +(4.49577 - 4.17147i) q^{81} +(13.4382 - 9.16203i) q^{82} +(1.49748 + 13.2905i) q^{83} +(19.3912 - 23.0850i) q^{84} +(-7.41584 - 0.835564i) q^{85} +(-10.5859 + 5.59483i) q^{86} +(-10.0080 - 3.92787i) q^{87} +(21.9548 - 1.64529i) q^{88} +(6.51459 - 14.9316i) q^{89} +(16.1154 - 7.76077i) q^{90} +(-9.27062 - 2.24845i) q^{91} +(11.3413 + 5.46168i) q^{92} +(-3.98852 + 3.43240i) q^{93} +(2.37995 + 7.71560i) q^{94} +(8.51846 - 12.4943i) q^{95} +(-6.53084 + 8.84898i) q^{96} +(-11.1642 + 11.1642i) q^{97} +(2.39906 + 17.5204i) 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 $\left(\mathbb{Z}/637\mathbb{Z}\right)^\times$.

$n$	$197$	$248$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{29}{42}\right)$

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 $

$2$	−2.03263	−	1.50015i	−1.43729	−	1.06077i	−0.985694	−	0.168543i	$-0.946094\pi$
$2$	−2.03263	−	1.50015i	−1.43729	−	1.06077i	−0.451594	−	0.892224i	$-0.649144\pi$
$3$	−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
$5$	−1.22761	−	1.42651i	−0.549005	−	0.637956i	0.413083	−	0.910693i	$-0.364452\pi$
$5$	−1.22761	−	1.42651i	−0.549005	−	0.637956i	−0.962088	+	0.272738i	$0.912071\pi$
$6$	6.20067	−	2.16971i	2.53141	−	0.885780i
$7$	−1.02898	+	2.43746i	−0.388919	+	0.921272i
$7$	−1.02898	+	2.43746i	−0.388919	+	0.921272i
$8$	1.98752	−	5.68000i	0.702694	−	2.00818i
$9$	−1.37445	−	3.50203i	−0.458148	−	1.16734i
$10$	0.355302	+	4.74118i	0.112356	+	1.49929i
$11$	1.46305	+	3.35334i	0.441125	+	1.01107i	0.985102	+	0.171969i	$0.0550130\pi$
$11$	1.46305	+	3.35334i	0.441125	+	1.01107i	−0.543977	+	0.839100i	$0.683082\pi$
$12$	−10.8888	−	3.35876i	−3.14333	−	0.969590i
$13$	0.579828	+	3.55862i	0.160815	+	0.986985i
$13$	0.579828	+	3.55862i	0.160815	+	0.986985i
$14$	5.74810	−	3.41083i	1.53624	−	0.911582i
$15$	4.86322	−	0.547953i	1.25568	−	0.141481i
$16$	−5.31953	+	3.62679i	−1.32988	+	0.906698i
$17$	2.90678	−	2.69709i	0.704997	−	0.654142i	−0.243874	−	0.969807i	$-0.578418\pi$
$17$	2.90678	−	2.69709i	0.704997	−	0.654142i	0.948871	+	0.315665i	$0.102228\pi$
$18$	−2.45983	+	9.18021i	−0.579788	+	2.16380i
$19$	2.07960	+	7.76117i	0.477093	+	1.78053i	0.613296	+	0.789853i	$0.289843\pi$
$19$	2.07960	+	7.76117i	0.477093	+	1.78053i	−0.136203	+	0.990681i	$0.543490\pi$
$20$	4.38771	−	6.98299i	0.981121	−	1.56144i
$21$	−3.72969	−	5.78135i	−0.813885	−	1.26159i
$22$	2.05668	−	9.01089i	0.438485	−	1.92113i
$23$	1.95387	−	2.10577i	0.407409	−	0.439083i	−0.495700	−	0.868494i	$-0.665088\pi$
$23$	1.95387	−	2.10577i	0.407409	−	0.439083i	0.903109	+	0.429411i	$0.141279\pi$
$24$	9.29235	+	12.5907i	1.89679	+	2.57006i
$25$	0.217308	−	1.44174i	0.0434616	−	0.288349i
$26$	4.15990	−	8.10320i	0.815823	−	1.58917i
$27$	1.93205	+	0.440978i	0.371823	+	0.0848662i
$28$	−11.5356	−	1.16043i	−2.18002	−	0.219300i
$29$	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
$31$	1.95462	+	0.523739i	0.351060	+	0.0940663i	0.430040	−	0.902810i	$-0.358500\pi$
$31$	1.95462	+	0.523739i	0.351060	+	0.0940663i	−0.0789796	+	0.996876i	$0.525166\pi$
$32$	4.22640	+	0.158141i	0.747128	+	0.0279556i
$33$	−9.34798	−	1.76873i	−1.62727	−	0.307897i
$34$	−9.95446	+	1.12160i	−1.70718	+	0.192352i
$35$	4.74025	−	1.52440i	0.801249	−	0.257670i
$36$	12.8890	−	10.2786i	2.14817	−	1.71311i
$37$	−5.22530	+	2.76165i	−0.859034	+	0.454013i	−0.837939	−	0.545765i	$-0.816239\pi$
$37$	−5.22530	+	2.76165i	−0.859034	+	0.454013i	−0.0210957	+	0.999777i	$0.506715\pi$
$38$	7.41586	−	18.8953i	1.20301	−	3.06522i
$39$	−8.49526	−	3.96709i	−1.36033	−	0.635243i
$40$	−10.5425	+	4.13763i	−1.66692	+	0.654216i
$41$	−2.12636	+	6.07680i	−0.332082	+	0.949037i	0.649893	+	0.760026i	$0.274814\pi$
$41$	−2.12636	+	6.07680i	−0.332082	+	0.949037i	−0.981975	+	0.189011i	$0.939472\pi$
$42$	−1.09181	+	17.3465i	−0.168469	+	2.67662i
$43$	2.05643	−	4.27022i	0.313603	−	0.651203i	−0.683275	−	0.730161i	$-0.739445\pi$
$43$	2.05643	−	4.27022i	0.313603	−	0.651203i	0.996878	+	0.0789582i	$0.0251594\pi$
$44$	−12.1519	+	10.4576i	−1.83197	+	1.57654i
$45$	−3.30840	+	6.25980i	−0.493187	+	0.933156i
$46$	−7.13046	+	1.34916i	−1.05133	+	0.198922i
$47$	−2.57161	−	1.89793i	−0.375108	−	0.276842i	0.389908	−	0.920854i	$-0.372507\pi$
$47$	−2.57161	−	1.89793i	−0.375108	−	0.276842i	−0.765016	+	0.644012i	$0.777269\pi$
$48$		−	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
$52$	−14.1523	+	7.02438i	−1.96258	+	0.974106i
$53$	−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	$0.682946\pi$
$54$	−3.26561	−	3.79471i	−0.444394	−	0.516395i
$55$	2.98752	−	6.20366i	0.402838	−	0.836501i
$56$	11.7996	+	10.6891i	1.57679	+	1.42839i
$57$	−19.7216	−	6.90088i	−2.61219	−	0.914044i
$58$	4.17677	−	9.57326i	0.548437	−	1.25703i
$59$	−5.56844	+	6.47064i	−0.724949	+	0.842405i	−0.992640	−	0.121099i	$-0.961358\pi$
$59$	−5.56844	+	6.47064i	−0.724949	+	0.842405i	0.267692	+	0.963505i	$0.413739\pi$
$60$	8.57596	+	19.6563i	1.10715	+	2.53762i
$61$	−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
$63$	9.95033	+	0.253374i	1.25362	+	0.0319221i
$64$	1.71377	+	1.36668i	0.214221	+	0.170836i
$65$	4.36462	−	5.19574i	0.541364	−	0.644453i
$66$	16.3476	+	17.6186i	2.01225	+	2.16869i
$67$	2.21573	−	8.26922i	0.270695	−	1.01025i	−0.687977	−	0.725732i	$-0.741501\pi$
$67$	2.21573	−	8.26922i	0.270695	−	1.01025i	0.958672	−	0.284514i	$-0.0918323\pi$
$68$	15.0482	+	8.68808i	1.82486	+	1.05358i
$69$	1.66221	+	7.28263i	0.200107	+	0.876726i
$70$	−11.9220	−	4.01255i	−1.42495	−	0.479592i
$71$	6.91178	−	4.34296i	0.820277	−	0.515414i	−0.0553130	−	0.998469i	$-0.517616\pi$
$71$	6.91178	−	4.34296i	0.820277	−	0.515414i	0.875590	+	0.483055i	$0.160473\pi$
$72$	−22.6233	+	0.846503i	−2.66618	+	0.0997614i
$73$	−3.11406	−	4.21940i	−0.364473	−	0.493844i	0.583536	−	0.812087i	$-0.301669\pi$
$73$	−3.11406	−	4.21940i	−0.364473	−	0.493844i	−0.948009	+	0.318244i	$0.896907\pi$
$74$	14.7640	+	2.22532i	1.71628	+	0.258688i
$75$	2.77934	+	2.57885i	0.320930	+	0.297780i
$76$	−29.8128	+	18.7326i	−3.41976	+	2.14878i
$77$	−9.67906	+	0.115589i	−1.10303	+	0.0131726i
$78$	11.3165	+	20.8078i	1.28134	+	2.35602i
$79$	−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	$0.930389\pi$
$80$	11.7040	+	3.13607i	1.30855	+	0.350624i
$81$	4.49577	−	4.17147i	0.499530	−	0.463497i
$82$	13.4382	−	9.16203i	1.48400	−	1.01178i
$83$	1.49748	+	13.2905i	0.164370	+	1.45882i	0.757034	+	0.653375i	$0.226648\pi$
$83$	1.49748	+	13.2905i	0.164370	+	1.45882i	−0.592664	+	0.805450i	$0.701924\pi$
$84$	19.3912	−	23.0850i	2.11576	−	2.51877i
$85$	−7.41584	−	0.835564i	−0.804360	−	0.0906297i
$86$	−10.5859	+	5.59483i	−1.14151	+	0.603307i
$87$	−10.0080	−	3.92787i	−1.07297	−	0.421111i
$88$	21.9548	−	1.64529i	2.34039	−	0.175388i
$89$	6.51459	−	14.9316i	0.690546	−	1.58275i	−0.117127	−	0.993117i	$-0.537369\pi$
$89$	6.51459	−	14.9316i	0.690546	−	1.58275i	0.807673	−	0.589631i	$-0.200727\pi$
$90$	16.1154	−	7.76077i	1.69871	−	0.818057i
$91$	−9.27062	−	2.24845i	−0.971825	−	0.235702i
$92$	11.3413	+	5.46168i	1.18241	+	0.569419i
$93$	−3.98852	+	3.43240i	−0.413590	+	0.355923i
$94$	2.37995	+	7.71560i	0.245473	+	0.795803i
$95$	8.51846	−	12.4943i	0.873976	−	1.28189i
$96$	−6.53084	+	8.84898i	−0.666552	+	0.903145i
$97$	−11.1642	+	11.1642i	−1.13356	+	1.13356i	−0.143975	+	0.989581i	$0.545988\pi$
$97$	−11.1642	+	11.1642i	−1.13356	+	1.13356i	−0.989581	+	0.143975i	$0.954012\pi$
$98$	2.39906	+	17.5204i	0.242341	+	1.76983i
$99$	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	0.328593	−	0.944472i	$-0.393426\pi$
$101$	−4.32690	−	2.95003i	−0.430543	−	0.293539i	−0.759136	+	0.650932i	$0.774378\pi$
$102$	12.1721	−	23.0307i	1.20521	−	2.28037i
$103$	−0.262734	+	3.50594i	−0.0258880	+	0.345451i	0.969187	+	0.246326i	$0.0792234\pi$
$103$	−0.262734	+	3.50594i	−0.0258880	+	0.345451i	−0.995075	+	0.0991248i	$0.968396\pi$
$104$	21.3654	+	3.77941i	2.09505	+	0.370601i
$105$	−3.66855	+	12.4177i	−0.358014	+	1.21184i
$106$	26.6247	+	9.31639i	2.58602	+	0.904888i
$107$	−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
$109$	0.524294	−	0.228747i	0.0502182	−	0.0219100i	−0.374633	−	0.927173i	$-0.622231\pi$
$109$	0.524294	−	0.228747i	0.0502182	−	0.0219100i	0.424851	+	0.905263i	$0.360326\pi$
$110$	−15.3790	+	8.12801i	−1.46633	+	0.774976i
$111$	1.72077	−	15.2723i	0.163328	−	1.44958i
$112$	−3.36645	−	16.6980i	−0.318100	−	1.57781i
$113$	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
$115$	−5.40249	−	0.202147i	−0.503785	−	0.0188503i
$116$	−15.6901	+	9.05868i	−1.45679	+	0.841077i
$117$	11.6655	−	6.92171i	1.07847	−	0.639912i
$118$	21.0255	−	4.79894i	1.93556	−	0.441778i
$119$	3.58303	+	9.86040i	0.328456	+	0.903902i
$120$	6.55336	−	28.7122i	0.598237	−	2.62105i
$121$	−1.62247	+	1.74860i	−0.147497	+	0.158964i
$122$	3.41880	−	2.52319i	0.309524	−	0.228439i
$123$	−9.94150	−	13.4703i	−0.896395	−	1.21457i
$124$	0.331562	+	8.86118i	0.0297752	+	0.795758i
$125$	−10.2912	+	6.46637i	−0.920470	+	0.578369i
$126$	−19.8453	−	15.4420i	−1.76796	−	1.37568i
$127$	−16.9525	+	3.86929i	−1.50429	+	0.343344i	−0.893723	−	0.448620i	$-0.851916\pi$
$127$	−16.9525	+	3.86929i	−1.50429	+	0.343344i	−0.610567	+	0.791964i	$0.709058\pi$
$128$	−3.62250	−	13.5194i	−0.320187	−	1.19495i
$129$	6.16242	+	10.6736i	0.542571	+	0.939760i
$130$	−16.6661	+	4.01346i	−1.46171	+	0.352003i
$131$	−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	$0.975982\pi$
$132$	−4.66781	−	41.4279i	−0.406281	−	3.60584i
$133$	−21.0574	−	2.91717i	−1.82591	−	0.252951i
$134$	−16.9089	+	13.4844i	−1.46070	+	1.16487i
$135$	−1.74275	−	3.29744i	−0.149992	−	0.283799i
$136$	−9.54223	−	21.8710i	−0.818240	−	1.87543i
$137$	−0.494292	−	0.425373i	−0.0422302	−	0.0363421i	0.630919	−	0.775849i	$-0.282678\pi$
$137$	−0.494292	−	0.425373i	−0.0422302	−	0.0363421i	−0.673149	+	0.739507i	$0.735059\pi$
$138$	7.54638	−	17.2965i	0.642390	−	1.47237i
$139$	−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
$141$	7.84485	−	2.74503i	0.660656	−	0.231173i
$142$	−20.5642	−	1.54107i	−1.72571	−	0.129324i
$143$	−11.0849	+	7.15079i	−0.926970	+	0.597979i
$144$	20.0125	+	13.6443i	1.66771	+	1.13703i
$145$	4.62057	−	6.26065i	0.383717	−	0.519918i
$146$			13.2481i			1.09642i
$147$	17.9296	−	3.14206i	1.47881	−	0.259153i
$148$	−18.3132	−	18.3132i	−1.50534	−	1.50534i
$149$	2.35368	+	1.73709i	0.192821	+	0.142308i	0.685952	−	0.727647i	$-0.259386\pi$
$149$	2.35368	+	1.73709i	0.192821	+	0.142308i	−0.493131	+	0.869955i	$0.664148\pi$
$150$	−1.78071	−	9.41127i	−0.145394	−	0.768427i
$151$	1.00425	−	1.90014i	0.0817249	−	0.154631i	−0.839866	−	0.542794i	$-0.817366\pi$
$151$	1.00425	−	1.90014i	0.0817249	−	0.154631i	0.921591	+	0.388163i	$0.126890\pi$
$152$	48.2167	+	3.61334i	3.91089	+	0.293081i
$153$	−13.4405	−	6.47261i	−1.08660	−	0.523279i
$154$	19.8474	+	14.2851i	1.59935	+	1.15113i
$155$	−1.65240	−	3.43124i	−0.132724	−	0.275604i
$156$	5.63891	−	40.6967i	0.451474	−	3.25835i
$157$	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	$0.241091\pi$
$158$	27.8238	−	12.1394i	2.21354	−	0.965759i
$159$	8.55832	−	27.7454i	0.678719	−	2.20035i
$160$	−4.96279	−	6.22314i	−0.392343	−	0.491983i
$161$	3.12222	+	6.92926i	0.246066	+	0.546102i
$162$	−15.3961	+	1.73472i	−1.20963	+	0.136293i
$163$	0.242268	−	1.28042i	0.0189759	−	0.100290i	−0.971798	−	0.235814i	$-0.924224\pi$
$163$	0.242268	−	1.28042i	0.0189759	−	0.100290i	0.990774	+	0.135524i	$0.0432719\pi$
$164$	−28.1923	−	1.05488i	−2.20145	−	0.0823723i
$165$	8.95258	+	15.5063i	0.696958	+	1.20717i
$166$	16.8940	−	29.2612i	1.31123	−	2.27111i
$167$	−2.95766	+	4.70708i	−0.228870	+	0.364245i	−0.941341	−	0.337457i	$-0.890433\pi$
$167$	−2.95766	+	4.70708i	−0.228870	+	0.364245i	0.712471	+	0.701702i	$0.247576\pi$
$168$	−40.2509	+	9.69412i	−3.10543	+	0.747917i
$169$	−12.3276	+	4.12678i	−0.948277	+	0.317444i
$170$	13.8202	+	12.8233i	1.05996	+	0.983500i
$171$	24.3215	−	17.9501i	1.85991	−	1.37268i
$172$	20.5371	+	3.09547i	1.56594	+	0.236028i
$173$	10.7330	+	9.95878i	0.816016	+	0.757152i	0.973088	−	0.230435i	$-0.0740150\pi$
$173$	10.7330	+	9.95878i	0.816016	+	0.757152i	−0.157072	+	0.987587i	$0.550205\pi$
$174$	14.4503	+	22.9975i	1.09547	+	1.74343i
$175$	3.29058	+	2.01321i	0.248744	+	0.152184i
$176$	−19.9446	−	12.5320i	−1.50338	−	0.944635i
$177$	−5.74554	−	21.4426i	−0.431861	−	1.61173i
$178$	−35.6414	+	20.5776i	−2.67144	+	1.54236i
$179$	4.93135	+	5.31473i	0.368586	+	0.397241i	0.889924	−	0.456109i	$-0.150757\pi$
$179$	4.93135	+	5.31473i	0.368586	+	0.397241i	−0.521338	+	0.853350i	$0.674567\pi$
$180$	−30.4853	−	5.76813i	−2.27224	−	0.429931i
$181$	10.7606	−	13.4934i	0.799832	−	1.00296i	−0.199900	−	0.979816i	$-0.564062\pi$
$181$	10.7606	−	13.4934i	0.799832	−	1.00296i	0.999732	−	0.0231412i	$-0.00736672\pi$
$182$	15.4707	+	18.4776i	1.14677	+	1.36965i
$183$	−2.72700	−	3.41955i	−0.201585	−	0.252780i
$184$	−8.07742	−	15.2832i	−0.595475	−	1.12669i
$185$	10.3542	+	4.06372i	0.761254	+	0.298770i
$186$	13.2563	−	0.993424i	0.972000	−	0.0728414i
$187$	13.2970	+	5.80143i	0.972374	+	0.424243i
$188$	4.62577	−	13.2197i	0.337369	−	0.964145i
$189$	−3.06291	+	4.25553i	−0.222794	+	0.309544i
$190$	−36.0582	+	12.6173i	−2.61594	+	0.915356i
$191$	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
$193$	−3.25321	+	0.615541i	−0.234171	+	0.0443076i	−0.301673	−	0.953412i	$-0.597545\pi$
$193$	−3.25321	+	0.615541i	−0.234171	+	0.0443076i	0.0675013	+	0.997719i	$0.478497\pi$
$194$	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	0.0997046	−	0.995017i	$-0.468210\pi$
$197$	−12.5663	−	12.5663i	−0.895312	−	0.895312i	−0.995017	+	0.0997046i	$0.968210\pi$
$198$	−34.3832	+	5.18243i	−2.44351	+	0.368300i
$199$	18.3486	+	12.5099i	1.30070	+	0.886801i	0.997805	−	0.0662240i	$-0.0210952\pi$
$199$	18.3486	+	12.5099i	1.30070	+	0.886801i	0.302893	+	0.953025i	$0.402048\pi$
$200$	−7.75720	−	4.09980i	−0.548517	−	0.289900i
$201$	14.5211	+	16.8739i	1.02424	+	1.19019i
$202$	4.36951	+	12.4873i	0.307438	+	0.878606i
$203$	−10.7715	−	1.90515i	−0.756014	−	0.133715i
$204$	−40.7103	+	19.6050i	−2.85029	+	1.37263i
$205$	11.2790	−	4.42668i	0.787758	−	0.309172i
$206$	5.79348	−	6.73215i	0.403651	−	0.469051i
$207$	−10.0599	−	3.94823i	−0.699214	−	0.274421i
$208$	−15.9908	−	16.8273i	−1.10876	−	1.16676i
$209$	−22.9833	+	18.3285i	−1.58979	+	1.26781i
$210$	26.0853	−	19.7373i	1.80005	−	1.36200i
$211$	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
$213$	−0.793702	+	21.2121i	−0.0543836	+	1.45343i
$214$	−5.66599	+	21.1458i	−0.387319	+	1.44550i
$215$	−8.61603	+	2.30866i	−0.587608	+	0.157449i
$216$	6.34474	−	10.0976i	0.431705	−	0.687055i
$217$	−3.28786	+	4.22538i	−0.223194	+	0.286838i
$218$	−1.40885	−	0.321561i	−0.0954195	−	0.0217789i
$219$	13.6273	−	0.509896i	0.920845	−	0.0344556i
$220$	29.8357	+	4.49702i	2.01153	+	0.303189i
$221$	11.2834	+	8.78027i	0.759002	+	0.590625i
$222$	−26.4084	+	28.4615i	−1.77242	+	1.91021i
$223$	8.43905	+	13.4307i	0.565120	+	0.899384i	0.999999	−	0.00110489i	$-0.000351699\pi$
$223$	8.43905	+	13.4307i	0.565120	+	0.899384i	−0.434879	+	0.900489i	$0.643209\pi$
$224$	−4.73435	+	10.1389i	−0.316327	+	0.677436i
$225$	−5.34770	+	1.22058i	−0.356514	+	0.0813719i
$226$	−27.4245	+	7.34837i	−1.82425	+	0.488806i
$227$	21.2144	+	5.68439i	1.40805	+	0.377286i	0.881229	−	0.472689i	$-0.156717\pi$
$227$	21.2144	+	5.68439i	1.40805	+	0.377286i	0.526822	+	0.849975i	$0.323383\pi$
$228$	3.42350	−	91.4949i	0.226727	−	6.05940i
$229$	−13.6849	−	2.58932i	−0.904323	−	0.171107i	−0.287105	−	0.957899i	$-0.592693\pi$
$229$	−13.6849	−	2.58932i	−0.904323	−	0.171107i	−0.617218	+	0.786792i	$0.711741\pi$
$230$	10.6780	+	8.51545i	0.704089	+	0.561492i
$231$	13.9301	−	20.9653i	0.916534	−	1.37942i
$232$	24.7234	+	2.78566i	1.62317	+	0.182888i
$233$	3.57862	−	11.6016i	0.234443	−	0.760046i	−0.759535	−	0.650467i	$-0.774573\pi$
$233$	3.57862	−	11.6016i	0.234443	−	0.760046i	0.993978	−	0.109579i	$-0.0349504\pi$
$234$	−34.0952	−	3.43067i	−2.22887	−	0.224270i
$235$	0.449515	+	5.99836i	0.0293231	+	0.391290i
$236$	−34.2873	−	14.9594i	−2.23191	−	0.973774i
$237$	−13.5578	−	28.1530i	−0.880672	−	1.82873i
$238$	7.50911	−	25.4177i	0.486743	−	1.64758i
$239$	−7.56254	−	21.6125i	−0.489180	−	1.39800i	−0.878875	−	0.477052i	$-0.841705\pi$
$239$	−7.56254	−	21.6125i	−0.489180	−	1.39800i	0.389695	−	0.920944i	$-0.372580\pi$
$240$	−23.8827	+	20.5527i	−1.54162	+	1.32667i
$241$	13.0938	+	6.92028i	0.843447	+	0.445775i	0.832407	−	0.554164i	$-0.186962\pi$
$241$	13.0938	+	6.92028i	0.843447	+	0.445775i	0.0110395	+	0.999939i	$0.496486\pi$
$242$	5.92105	−	1.12032i	0.380620	−	0.0720171i
$243$	3.26304	+	21.6488i	0.209324	+	1.38877i
$244$	−7.37041			−0.471842
$245$	−1.16198	+	13.1227i	−0.0742361	+	0.838381i
$246$			42.2938i			2.69656i
$247$	−26.4133	+	11.9006i	−1.68064	+	0.757220i
$248$	6.85968	−	10.0613i	0.435590	−	0.638894i
$249$	−30.7490	−	16.2513i	−1.94864	−	1.02989i
$250$	30.6187	+	2.29455i	1.93650	+	0.145120i
$251$	−23.7992	−	11.4611i	−1.50219	−	0.723418i	−0.511469	−	0.859302i	$-0.670898\pi$
$251$	−23.7992	−	11.4611i	−1.50219	−	0.723418i	−0.990725	+	0.135884i	$0.956613\pi$
$252$	11.7912	+	41.9929i	0.742775	+	2.64530i
$253$	9.91994	+	3.47114i	0.623661	+	0.218229i
$254$	40.2627	+	17.5664i	2.52631	+	1.10222i
$255$	12.6584	−	14.7093i	0.792700	−	0.921134i
$256$	−11.3162	+	28.8333i	−0.707264	+	1.80208i
$257$	−4.80812	−	1.48311i	−0.299922	−	0.0925137i	0.141142	−	0.989989i	$-0.454923\pi$
$257$	−4.80812	−	1.48311i	−0.299922	−	0.0925137i	−0.441064	+	0.897476i	$0.645399\pi$
$258$	3.48611	−	30.9401i	0.217036	−	1.92625i
$259$	−1.35467	−	15.5781i	−0.0841750	−	0.967978i
$260$	27.3940	+	11.5653i	1.69890	+	0.717247i
$261$	12.8515	−	8.76197i	0.795485	−	0.542353i
$262$	−1.07992	+	28.8615i	−0.0667177	+	1.78307i
$263$	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
$265$	17.7931	+	11.1801i	1.09302	+	0.686790i
$266$	38.4257	+	37.5188i	2.35603	+	2.30042i
$267$	22.5384	+	35.8696i	1.37933	+	2.19519i
$268$	37.4882	−	1.40271i	2.28995	−	0.0856841i
$269$	−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
$271$	0.765703	+	20.4638i	0.0465131	+	1.24309i	0.805742	+	0.592266i	$0.201767\pi$
$271$	0.765703	+	20.4638i	0.0465131	+	1.24309i	−0.759229	+	0.650823i	$0.774424\pi$
$272$	−5.68087	+	24.8895i	−0.344454	+	1.50915i
$273$	18.4111	−	16.6248i	1.11429	−	1.00618i
$274$	0.366591	+	1.60614i	0.0221466	+	0.0970304i
$275$	5.15258	−	1.38063i	0.310712	−	0.0832551i
$276$	−28.3481	+	16.3668i	−1.70635	+	0.985164i
$277$	3.83532	+	4.13349i	0.230442	+	0.248357i	0.837678	−	0.546164i	$-0.183912\pi$
$277$	3.83532	+	4.13349i	0.230442	+	0.248357i	−0.607236	+	0.794521i	$0.707722\pi$
$278$	−2.70592	+	14.3011i	−0.162290	+	0.857725i
$279$	−0.852369	−	7.56499i	−0.0510300	−	0.452904i
$280$	0.762755	−	29.9544i	0.0455833	−	1.79012i
$281$	−27.5797	−	3.10749i	−1.64527	−	0.185377i	−0.759827	−	0.650126i	$-0.774716\pi$
$281$	−27.5797	−	3.10749i	−1.64527	−	0.185377i	−0.885443	+	0.464748i	$0.846145\pi$
$282$	−20.0637	−	6.18882i	−1.19477	−	0.368539i
$283$	−2.64647	+	6.74309i	−0.157316	+	0.400835i	−0.987701	−	0.156355i	$-0.950025\pi$
$283$	−2.64647	+	6.74309i	−0.157316	+	0.400835i	0.830385	+	0.557191i	$0.188121\pi$
$284$	27.1130	+	23.3326i	1.60886	+	1.38454i
$285$	14.3663	+	36.6047i	0.850986	+	2.16828i
$286$	33.2589	+	2.09417i	1.96664	+	0.123831i
$287$	−12.6239	−	11.4358i	−0.745168	−	0.675036i
$288$	−5.25514	−	15.0183i	−0.309662	−	0.884963i
$289$	−0.0953802	+	1.27276i	−0.00561060	+	0.0748683i
$290$	−18.7838	+	5.79404i	−1.10302	+	0.340238i
$291$	−7.63292	−	40.3410i	−0.447450	−	2.36483i
$292$	13.6460	−	18.4896i	0.798569	−	1.08202i
$293$	−1.38389	−	1.38389i	−0.0808478	−	0.0808478i	0.665526	−	0.746374i	$-0.268207\pi$
$293$	−1.38389	−	1.38389i	−0.0808478	−	0.0808478i	−0.746374	+	0.665526i	$0.768207\pi$
$294$	−41.1578	−	20.5104i	−2.40037	−	1.19619i
$295$	16.0663			0.935418
$296$	5.30081	+	35.1686i	0.308103	+	2.04413i
$297$	1.34793	+	7.12399i	0.0782149	+	0.413376i
$298$	−2.17826	−	7.06175i	−0.126183	−	0.409076i
$299$	8.62653	+	5.73209i	0.498885	+	0.331495i
$300$	−7.20869	+	14.9690i	−0.416194	+	0.864236i
$301$	8.29245	+	9.40644i	0.477969	+	0.542178i
$302$	−4.89177	+	2.35575i	−0.281490	+	0.135558i
$303$	12.6766	−	4.97520i	0.728252	−	0.285818i
$304$	−39.2106	−	33.7435i	−2.24888	−	1.93532i
$305$	2.90135	−	1.26584i	0.166131	−	0.0724820i
$306$	17.6097	+	33.3192i	1.00668	+	1.90473i
$307$	−1.55855	+	13.8325i	−0.0889509	+	0.789461i	0.867474	+	0.497483i	$0.165742\pi$
$307$	−1.55855	+	13.8325i	−0.0889509	+	0.789461i	−0.956425	+	0.291979i	$0.905686\pi$
$308$	−12.9858	−	40.3805i	−0.739934	−	2.30089i
$309$	−7.14783	−	5.70021i	−0.406626	−	0.324273i
$310$	−1.78866	+	9.45329i	−0.101589	+	0.536911i
$311$	−10.7445	+	9.96948i	−0.609267	+	0.565317i	−0.923293	−	0.384097i	$-0.874513\pi$
$311$	−10.7445	+	9.96948i	−0.609267	+	0.565317i	0.314026	+	0.949415i	$0.398322\pi$
$312$	−39.4176	+	40.3684i	−2.23158	+	2.28541i
$313$	−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	$0.840975\pi$
$314$	−36.0889	−	22.6762i	−2.03662	−	1.27969i
$315$	−11.8537	−	14.5053i	−0.667881	−	0.817282i
$316$	−51.3363	−	11.7172i	−2.88789	−	0.659142i
$317$	0.0530178	+	1.41693i	0.00297778	+	0.0795828i	0.999997	+	0.00242986i	$0.000773449\pi$
$317$	0.0530178	+	1.41693i	0.00297778	+	0.0795828i	−0.997019	+	0.0771529i	$0.975417\pi$
$318$	−59.0182	+	43.5574i	−3.30957	+	2.44258i
$319$	−12.1706	+	8.98231i	−0.681423	+	0.502913i
$320$	−0.154252	−	4.12247i	−0.00862295	−	0.230453i
$321$	21.9691	+	5.01431i	1.22620	+	0.279871i
$322$	4.04860	−	18.7684i	0.225620	−	1.04592i
$323$	26.9775	+	16.9511i	1.50107	+	0.943185i
$324$	23.2743	+	13.4374i	1.29302	+	0.746525i
$325$	5.25662	−	0.0626463i	0.291585	−	0.00347499i
$326$	−2.41326	+	2.23918i	−0.133658	+	0.124016i
$327$	−0.276541	+	1.46155i	−0.0152928	+	0.0808242i
$328$	30.2901	+	24.1555i	1.67249	+	1.33377i
$329$	7.27227	−	4.31525i	0.400933	−	0.237907i
$330$	5.06452	−	44.9489i	0.278793	−	2.47435i
$331$	−3.44485	−	6.51798i	−0.189346	−	0.358260i	0.771105	−	0.636707i	$-0.219704\pi$
$331$	−3.44485	−	6.51798i	−0.189346	−	0.358260i	−0.960452	+	0.278447i	$0.910180\pi$
$332$	−53.7181	+	23.4370i	−2.94816	+	1.28627i
$333$	16.8533	+	14.5034i	0.923554	+	0.794782i
$334$	13.0732	−	5.13084i	0.715332	−	0.280747i
$335$	−14.5162	+	6.99064i	−0.793106	+	0.381939i
$336$	40.8079	+	17.2272i	2.22626	+	0.939823i
$337$	−6.39002	+	13.2690i	−0.348086	+	0.722809i	−0.999350	−	0.0360424i	$-0.988525\pi$
$337$	−6.39002	+	13.2690i	−0.348086	+	0.722809i	0.651264	+	0.758851i	$0.274239\pi$
$338$	31.2483	+	10.1050i	1.69968	+	0.549642i
$339$	8.61423	+	27.9266i	0.467861	+	1.51677i
$340$	−6.07971	−	32.1321i	−0.329719	−	1.74261i
$341$	1.10343	+	7.32075i	0.0597539	+	0.396441i
$342$	−76.3646			−4.12933
$343$	17.2507	−	6.73905i	0.931448	−	0.363874i
$344$	−20.1677	−	20.1677i	−1.08737	−	1.08737i
$345$	8.34821	−	11.3114i	0.449453	−	0.608987i
$346$	−6.87659	−	36.3437i	−0.369688	−	1.95385i
$347$	−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
$349$	7.60334	+	21.7291i	0.406997	+	1.16313i	0.946935	+	0.321426i	$0.104162\pi$
$349$	7.60334	+	21.7291i	0.406997	+	1.16313i	−0.539937	+	0.841705i	$0.681552\pi$
$350$	−3.66843	−	9.02847i	−0.196086	−	0.482592i
$351$	−0.449017	+	7.13113i	−0.0239668	+	0.380632i
$352$	5.65311	+	14.4039i	0.301312	+	0.767730i
$353$	3.01359	+	2.59340i	0.160397	+	0.138033i	0.728825	−	0.684700i	$-0.240067\pi$
$353$	3.01359	+	2.59340i	0.160397	+	0.138033i	−0.568427	+	0.822734i	$0.692448\pi$
$354$	−20.4886	+	52.2042i	−1.08896	+	2.77462i
$355$	−14.6803	−	4.52826i	−0.779148	−	0.240335i
$356$	70.9386	+	7.99286i	3.75974	+	0.423621i
$357$	−26.4342	−	6.74576i	−1.39905	−	0.357024i
$358$	−2.05072	−	18.2007i	−0.108384	−	0.961935i
$359$	0.101391	−	0.535862i	0.00535119	−	0.0282817i	−0.979789	−	0.200033i	$-0.935895\pi$
$359$	0.101391	−	0.535862i	0.00535119	−	0.0282817i	0.985140	+	0.171751i	$0.0549426\pi$
$360$	28.9802	+	31.2332i	1.52739	+	1.64613i
$361$	−39.4565	+	22.7802i	−2.07666	+	1.19896i
$362$	−42.1146	+	11.2846i	−2.21349	+	0.593104i
$363$	−1.38028	−	6.04741i	−0.0724461	−	0.317407i
$364$	−2.55913	−	41.7237i	−0.134135	−	2.18691i
$365$	−2.19617	+	9.62204i	−0.114953	+	0.503641i
$366$	0.413147	+	11.0416i	0.0215955	+	0.577153i
$367$	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
$369$	24.2037	−	0.905639i	1.25999	−	0.0471457i
$370$	−14.9501	−	23.7929i	−0.777216	−	1.23693i
$371$	2.95684	−	29.3934i	0.153511	−	1.52603i
$372$	−19.5244	−	12.2680i	−1.01229	−	0.636066i
$373$	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
$375$	1.18177	−	31.5834i	0.0610262	−	1.63096i
$376$	−15.8914	+	10.8346i	−0.819536	+	0.558750i
$377$	−13.8106	+	5.61110i	−0.711283	+	0.288987i
$378$	12.6097	−	4.05510i	0.648573	−	0.208572i
$379$	2.65992	−	23.6074i	0.136631	−	1.21263i	−0.718987	−	0.695023i	$-0.755394\pi$
$379$	2.65992	−	23.6074i	0.136631	−	1.21263i	0.855618	−	0.517608i	$-0.173177\pi$
$380$	63.3208	+	19.5319i	3.24829	+	1.00196i
$381$	16.5196	−	42.0913i	0.846325	−	2.15640i
$382$	−7.56839	+	8.79463i	−0.387233	+	0.449972i
$383$	−5.99448	−	2.61536i	−0.306304	−	0.133639i	0.241118	−	0.970496i	$-0.422486\pi$
$383$	−5.99448	−	2.61536i	−0.306304	−	0.133639i	−0.547422	+	0.836857i	$0.684391\pi$
$384$	34.3535	+	12.0208i	1.75310	+	0.613435i
$385$	12.0470	+	13.6654i	0.613974	+	0.696454i
$386$	7.53598	+	3.62914i	0.383571	+	0.184718i
$387$	−17.7809	−	1.33249i	−0.903854	−	0.0677345i
$388$	−61.1688	−	32.3286i	−3.10537	−	1.64124i
$389$	10.7100	−	15.7087i	0.543018	−	0.796461i	−0.452427	−	0.891802i	$-0.649442\pi$
$389$	10.7100	−	15.7087i	0.543018	−	0.796461i	0.995445	+	0.0953406i	$0.0303940\pi$
$390$	15.7903	−	41.6871i	0.799573	−	2.11091i
$391$		−	11.3908i		−	0.576055i
$392$	−38.1959	+	17.7622i	−1.92918	+	0.897128i
$393$	29.7292			1.49964
$394$	6.69133	+	44.3940i	0.337104	+	2.23654i
$395$	22.2208	−	4.20440i	1.11805	−	0.211546i
$396$	53.3249	+	28.1830i	2.67968	+	1.41625i
$397$	−0.950951	+	0.818360i	−0.0477269	+	0.0410723i	−0.675827	−	0.737060i	$-0.736214\pi$
$397$	−0.950951	+	0.818360i	−0.0477269	+	0.0410723i	0.628101	+	0.778132i	$0.283833\pi$
$398$	−18.5293	−	52.9536i	−0.928788	−	2.65433i
$399$	37.1138	−	40.9697i	1.85801	−	2.05105i
$400$	4.07293	+	8.45752i	0.203646	+	0.422876i
$401$	5.49964	+	2.39947i	0.274639	+	0.119824i	0.532698	−	0.846305i	$-0.321178\pi$
$401$	5.49964	+	2.39947i	0.274639	+	0.119824i	−0.258059	+	0.966129i	$0.583083\pi$
$402$	−4.20278	−	56.0822i	−0.209616	−	2.79713i
$403$	−0.730446	+	7.25943i	−0.0363861	+	0.361618i
$404$	6.76410	−	21.9287i	0.336527	−	1.09099i
$405$	−11.4697	−	1.29233i	−0.569935	−	0.0642163i
$406$	19.0366	+	20.0314i	0.944770	+	0.994142i
$407$	−16.9056	−	13.4818i	−0.837980	−	0.668267i
$408$	60.9691	+	11.5360i	3.01842	+	0.571116i
$409$	1.15446	−	30.8537i	0.0570846	−	1.52562i	−0.617000	−	0.786963i	$-0.711652\pi$
$409$	1.15446	−	30.8537i	0.0570846	−	1.52562i	0.674085	−	0.738654i	$-0.264538\pi$
$410$	−29.5667	−	7.92238i	−1.46020	−	0.391258i
$411$	1.63800	−	0.438902i	0.0807968	−	0.0216494i
$412$	−15.0200	+	3.42822i	−0.739983	+	0.168896i
$413$	−10.0421	−	20.2310i	−0.494139	−	0.995502i
$414$	14.5252	+	23.1167i	0.713875	+	1.13613i
$415$	17.1208	−	18.4518i	0.840426	−	0.905763i
$416$	1.88782	+	15.1318i	0.0925580	+	0.741900i
$417$	14.8146	+	2.23295i	0.725476	+	0.109348i
$418$	74.2121	−	2.77682i	3.62983	−	0.135819i
$419$	−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
$421$	−17.5610	+	27.9482i	−0.855871	+	1.36211i	0.0751609	+	0.997171i	$0.476053\pi$
$421$	−17.5610	+	27.9482i	−0.855871	+	1.36211i	−0.931032	+	0.364939i	$0.881090\pi$
$422$	−58.3805	+	15.6430i	−2.84192	+	0.761489i
$423$	−3.11208	+	11.6145i	−0.151315	+	0.564714i
$424$	−2.51239	+	67.1449i	−0.122012	+	3.26084i
$425$	−3.25685	−	4.77692i	−0.157981	−	0.231715i
$426$	33.4347	−	41.9258i	1.61992	−	2.03131i
$427$	−3.40743	−	2.86222i	−0.164897	−	0.138513i
$428$	29.6886	−	23.6759i	1.43505	−	1.14442i
$429$	0.874035	−	34.2915i	0.0421988	−	1.65561i
$430$	20.9765	+	8.23269i	1.01158	+	0.397015i
$431$	4.62609	−	5.37562i	0.222831	−	0.258934i	−0.635417	−	0.772169i	$-0.719172\pi$
$431$	4.62609	−	5.37562i	0.222831	−	0.258934i	0.858248	+	0.513235i	$0.171553\pi$
$432$	−11.8769	+	4.66135i	−0.571429	+	0.224269i
$433$	−12.4279	+	5.98496i	−0.597247	+	0.287619i	−0.707981	−	0.706231i	$-0.750394\pi$
$433$	−12.4279	+	5.98496i	−0.597247	+	0.287619i	0.110735	+	0.993850i	$0.464680\pi$
$434$	13.0217	−	3.65637i	0.625063	−	0.175511i
$435$	6.68285	+	19.0985i	0.320418	+	0.915703i
$436$	1.63504	+	1.89995i	0.0783043	+	0.0909912i
$437$	20.4065	+	10.7851i	0.976173	+	0.515923i
$438$	−28.4641	−	19.4065i	−1.36007	−	0.927279i
$439$	3.14949	−	0.474709i	0.150317	−	0.0226566i	−0.0734527	−	0.997299i	$-0.523402\pi$
$439$	3.14949	−	0.474709i	0.150317	−	0.0226566i	0.223770	+	0.974642i	$0.428164\pi$
$440$	−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	$0.521037\pi$
$444$	66.1731	−	12.5206i	3.14044	−	0.594203i
$445$	−29.2975	+	9.03709i	−1.38884	+	0.428399i
$446$	2.99455	−	39.9595i	0.141796	−	1.89214i
$447$	−7.18004	+	2.51241i	−0.339604	+	0.118833i
$448$	−5.09467	+	2.77094i	−0.240701	+	0.130915i
$449$	−2.67257	+	7.63776i	−0.126126	+	0.360448i	−0.989581	−	0.143979i	$-0.954010\pi$
$449$	−2.67257	+	7.63776i	−0.126126	+	0.360448i	0.863455	+	0.504427i	$0.168296\pi$
$450$	12.7010	+	5.54138i	0.598729	+	0.261223i
$451$	−23.4885	+	1.76022i	−1.10603	+	0.0828856i
$452$	45.8440	+	17.9924i	2.15632	+	0.846293i
$453$	2.61146	+	4.94112i	0.122697	+	0.232154i
$454$	−34.5937	−	43.3791i	−1.62356	−	2.03588i
$455$	8.17329	+	15.9849i	0.383170	+	0.749383i
$456$	−78.3941	+	98.3031i	−3.67114	+	4.60346i
$457$	23.1400	+	4.37832i	1.08244	+	0.204809i	0.696387	−	0.717666i	$-0.254790\pi$
$457$	23.1400	+	4.37832i	1.08244	+	0.204809i	0.386056	+	0.922475i	$0.373837\pi$
$458$	23.9320	+	25.7926i	1.11827	+	1.20521i
$459$	6.80540	−	3.92910i	0.317649	−	0.183395i
$460$	−6.13156	−	22.8833i	−0.285886	−	1.06694i
$461$	31.3096	+	19.6731i	1.45823	+	0.916269i	0.999618	+	0.0276342i	$0.00879736\pi$
$461$	31.3096	+	19.6731i	1.45823	+	0.916269i	0.458616	+	0.888635i	$0.348346\pi$
$462$	−59.7659	+	21.7175i	−2.78056	+	1.01039i
$463$	−8.48899	−	13.5101i	−0.394517	−	0.627870i	0.589117	−	0.808047i	$-0.299476\pi$
$463$	−8.48899	−	13.5101i	−0.394517	−	0.627870i	−0.983634	+	0.180178i	$0.942333\pi$
$464$	−19.5128	−	18.1052i	−0.905859	−	0.840515i
$465$	9.79272	+	1.47602i	0.454127	+	0.0684486i
$466$	−24.6782	+	18.2133i	−1.14319	+	0.843716i
$467$	−13.8747	−	12.8739i	−0.642045	−	0.595731i	0.290460	−	0.956887i	$-0.406192\pi$
$467$	−13.8747	−	12.8739i	−0.642045	−	0.595731i	−0.932505	+	0.361156i	$0.882382\pi$
$468$	44.0512	+	39.9073i	2.03627	+	1.84471i
$469$	17.8759	+	13.9096i	0.825434	+	0.642287i
$470$	8.08475	−	12.8668i	0.372922	−	0.593501i
$471$	−21.9363	+	37.9947i	−1.01077	+	1.75070i
$472$	25.6859	+	44.4893i	1.18229	+	2.04778i
$473$	17.3281	+	0.648374i	0.796749	+	0.0298122i
$474$	−14.6758	+	77.5634i	−0.674082	+	3.56261i
$475$	11.6415	−	1.31168i	0.534150	−	0.0601842i
$476$	−36.6612	+	27.7395i	−1.68036	+	1.27144i
$477$	26.1906	+	32.8419i	1.19918	+	1.50373i
$478$	−17.0501	+	55.2752i	−0.779855	+	2.52823i
$479$	−31.8027	+	13.8754i	−1.45310	+	0.633982i	−0.970334	−	0.241767i	$-0.922273\pi$
$479$	−31.8027	+	13.8754i	−1.45310	+	0.633982i	−0.482767	+	0.875749i	$0.660368\pi$
$480$	20.6405	−	1.54679i	0.942107	−	0.0706012i
$481$	−12.8575	−	16.9936i	−0.586250	−	0.774841i
$482$	−16.2334	−	33.7091i	−0.739413	−	1.53541i
$483$	−19.4615	−	3.44212i	−0.885528	−	0.156622i
$484$	−9.41767	−	4.53531i	−0.428076	−	0.206151i
$485$	29.6313	+	2.22056i	1.34549	+	0.100830i
$486$	25.8440	−	48.8991i	1.17231	−	2.21811i
$487$	6.95566	+	36.7615i	0.315191	+	1.66582i	0.678839	+	0.734287i	$0.262484\pi$
$487$	6.95566	+	36.7615i	0.315191	+	1.66582i	−0.363648	+	0.931536i	$0.618469\pi$
$488$	8.14374	+	6.01036i	0.368650	+	0.272076i
$489$	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	$0.275009\pi$
$491$			33.6997i			1.52085i	−0.649427	+	0.760424i	$0.724991\pi$
$492$	43.5641	−	59.0273i	1.96402	−	2.66116i
$493$	13.5457	+	9.23528i	0.610066	+	0.415936i
$494$	71.5412	+	15.4342i	3.21879	+	0.694419i
$495$	−25.8316	−	1.93581i	−1.16104	−	0.0870081i
$496$	−12.2971	+	4.30296i	−0.552158	+	0.193208i
$497$	3.47368	+	21.3160i	0.155816	+	0.956153i
$498$	38.1220	+	79.1611i	1.70829	+	3.54729i
$499$	2.34471	−	5.37412i	0.104963	−	0.240579i	−0.856153	−	0.516723i	$-0.827152\pi$
$499$	2.34471	−	5.37412i	0.104963	−	0.240579i	0.961116	+	0.276144i	$0.0890566\pi$
$500$	−40.3694	−	34.7407i	−1.80538	−	1.55365i
$501$	−5.78087	−	13.2499i	−0.258270	−	0.591962i
$502$	31.1817	+	58.9986i	1.39171	+	2.63324i
$503$	−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
$505$	1.10351	+	9.79388i	0.0491054	+	0.435822i
$506$	−14.9564	−	21.9370i	−0.664891	−	0.975217i
$507$	9.19159	−	32.5316i	0.408213	−	1.44478i
$508$	−38.0985	−	65.9885i	−1.69035	−	2.92777i
$509$	−7.60296	−	28.3746i	−0.336995	−	1.25768i	−0.901690	−	0.432383i	$-0.857673\pi$
$509$	−7.60296	−	28.3746i	−0.336995	−	1.25768i	0.564695	−	0.825300i	$-0.308994\pi$
$510$	−47.7961	+	10.9091i	−2.11645	+	0.483065i
$511$	13.4889	−	3.24870i	0.596715	−	0.143714i
$512$	42.5540	−	26.7384i	1.88064	−	1.18168i
$513$	0.595386	+	15.9120i	0.0262869	+	0.702533i
$514$	7.54825	+	10.2275i	0.332939	+	0.451116i
$515$	5.32381	−	3.92915i	0.234595	−	0.173139i
$516$	−36.7348	+	39.5907i	−1.61716	+	1.74288i
$517$	2.60203	−	11.4002i	0.114437	−	0.501382i
$518$	−20.6160	+	33.6968i	−0.905816	+	1.48055i
$519$	−37.1193	+	8.47224i	−1.62936	+	0.371890i
$520$	−20.8371	−	35.1177i	−0.913767	−	1.54001i
$521$	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	$0.178270\pi$
$522$	−39.2666	−	1.46925i	−1.71865	−	0.0643074i
$523$	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
$525$	−9.14571	+	4.12092i	−0.399152	+	0.179852i
$526$	3.56299	−	31.6224i	0.155354	−	1.37880i
$527$	7.09422	−	3.74940i	0.309029	−	0.163327i
$528$	56.1416	−	24.4943i	2.44325	−	1.06598i
$529$	1.10213	+	14.7069i	0.0479187	+	0.639431i
$530$	−19.3949	−	49.4174i	−0.842461	−	2.14655i
$531$	30.3139	+	10.6073i	1.31551	+	0.460317i
$532$	−14.9831	−	91.9428i	−0.649601	−	3.98623i
$533$	−22.8580	−	4.04343i	−0.990089	−	0.175140i
$534$	7.99762	−	106.721i	0.346091	−	4.61826i
$535$	−7.62060	+	14.4189i	−0.329467	+	0.623382i
$536$	−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
$539$	9.67784	−	23.7112i	0.416854	−	1.02132i
$540$	11.5566	−	11.5566i	0.497317	−	0.497317i
$541$	−7.22879	+	9.79466i	−0.310790	+	0.421105i	−0.931955	−	0.362575i	$-0.881898\pi$
$541$	−7.22879	+	9.79466i	−0.310790	+	0.421105i	0.621165	+	0.783680i	$0.286660\pi$
$542$	29.1425	−	42.7441i	1.25178	−	1.83602i
$543$	13.2285	+	42.8857i	0.567689	+	1.84040i
$544$	12.7117	−	10.9393i	0.545010	−	0.469019i
$545$	−0.969940	−	0.467099i	−0.0415477	−	0.0200083i
$546$	−62.3626	+	6.17263i	−2.66887	+	0.264164i
$547$	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	$0.0644538\pi$
$548$	1.14275	−	2.61921i	0.0488158	−	0.111887i
$549$	6.30998	−	0.472867i	0.269303	−	0.0201815i
$550$	−12.5445	−	4.92334i	−0.534897	−	0.209932i
$551$	−29.3704	+	15.5227i	−1.25122	+	0.661290i
$552$	44.6691	+	5.03299i	1.90124	+	0.214218i
$553$	−19.1831	−	25.3529i	−0.815748	−	1.07811i
$554$	−1.59493	−	14.1554i	−0.0677622	−	0.601406i
$555$	−23.8985	+	16.2937i	−1.01444	+	0.691630i
$556$	18.5072	−	17.1722i	0.784879	−	0.728262i
$557$	−21.1997	−	5.68044i	−0.898260	−	0.240688i	−0.219991	−	0.975502i	$-0.570603\pi$
$557$	−21.1997	−	5.68044i	−0.898260	−	0.240688i	−0.678269	+	0.734814i	$0.737270\pi$
$558$	−9.61607	+	16.6555i	−0.407081	+	0.705084i
$559$	16.3885	+	4.84207i	0.693159	+	0.204798i
$560$	−19.6872	+	25.3010i	−0.831937	+	1.06916i
$561$	−31.9429	+	20.0711i	−1.34863	+	0.847401i
$562$	51.3978	+	47.6902i	2.16808	+	2.01169i
$563$	5.65146	+	0.851820i	0.238181	+	0.0358999i	0.267048	−	0.963683i	$-0.413952\pi$
$563$	5.65146	+	0.851820i	0.238181	+	0.0358999i	−0.0288671	+	0.999583i	$0.509190\pi$
$564$	21.6271	+	29.3037i	0.910665	+	1.23391i
$565$	−21.1365	+	0.790873i	−0.889220	+	0.0332723i
$566$	15.4950	−	9.73612i	0.651301	−	0.409240i
$567$	5.54171	+	15.2506i	0.232730	+	0.640466i
$568$	−10.9307	−	47.8906i	−0.458643	−	2.00945i
$569$	14.0888	+	8.13415i	0.590632	+	0.341001i	0.765347	−	0.643618i	$-0.222567\pi$
$569$	14.0888	+	8.13415i	0.590632	+	0.341001i	−0.174716	+	0.984619i	$0.555901\pi$
$570$	25.7112	−	95.9555i	1.07692	−	4.01914i
$571$	9.40982	+	10.1414i	0.393789	+	0.424403i	0.898561	−	0.438849i	$-0.144614\pi$
$571$	9.40982	+	10.1414i	0.393789	+	0.424403i	−0.504772	+	0.863253i	$0.668423\pi$
$572$	−44.2606	−	37.1805i	−1.85063	−	1.55460i
$573$	9.33766	+	7.44654i	0.390086	+	0.311084i
$574$	8.50436	+	42.1827i	0.354965	+	1.76067i
$575$	−2.61138	−	3.27457i	−0.108902	−	0.136559i
$576$	2.43069	−	7.88010i	0.101279	−	0.328337i
$577$	4.20569	+	9.63955i	0.175085	+	0.401300i	0.981873	−	0.189542i	$-0.0607004\pi$
$577$	4.20569	+	9.63955i	0.175085	+	0.401300i	−0.806787	+	0.590842i	$0.798796\pi$
$578$	2.10321	−	2.44397i	0.0874818	−	0.101656i
$579$	3.44297	−	7.89137i	0.143085	−	0.327954i
$580$	32.1837	+	11.2616i	1.33635	+	0.467611i
$581$	−33.9360	−	10.0257i	−1.40790	−	0.415934i
$582$	−45.0026	+	93.4489i	−1.86542	+	3.87358i
$583$	−26.6465	−	30.9638i	−1.10359	−	1.28239i
$584$	−30.1555	+	9.30173i	−1.24784	+	0.384908i
$585$	−24.1946	−	8.14375i	−1.00032	−	0.336703i
$586$	0.736897	+	4.88899i	0.0304409	+	0.201962i
$587$	−3.07563	+	3.07563i	−0.126945	+	0.126945i	−0.767725	−	0.640780i	$-0.778611\pi$
$587$	−3.07563	+	3.07563i	−0.126945	+	0.126945i	0.640780	+	0.767725i	$0.278611\pi$
$588$	36.3153	+	71.0193i	1.49762	+	2.92879i
$589$			16.2593i			0.669953i
$590$	−32.6569	−	24.1019i	−1.34447	−	0.992260i
$591$	45.4072	−	8.59151i	1.86780	−	0.353408i
$592$	17.7802	−	33.6418i	0.730761	−	1.38267i
$593$	0.115884	−	0.0997262i	0.00475878	−	0.00409526i	−0.649905	−	0.760016i	$-0.725191\pi$
$593$	0.115884	−	0.0997262i	0.00475878	−	0.00409526i	0.654664	+	0.755920i	$0.272810\pi$
$594$	7.94721	−	16.5025i	0.326078	−	0.677108i
$595$	9.66741	−	17.2160i	0.396325	−	0.705787i
$596$	−4.23376	+	12.0994i	−0.173422	+	0.495611i
$597$	−53.7562	+	21.0978i	−2.20009	+	0.863474i
$598$	−8.93557	−	24.5923i	−0.365403	−	1.00566i
$599$	−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	$0.219746\pi$
$600$	20.1718	−	10.6611i	0.823512	−	0.435239i
$601$	−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
$603$	−32.0045	+	3.60604i	−1.30332	+	0.146849i
$604$	9.25370	+	1.75089i	0.376528	+	0.0712429i
$605$	4.48617	+	0.167861i	0.182389	+	0.00682450i
$606$	−33.2304	−	8.90407i	−1.34989	−	0.361703i
$607$	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
$609$	19.8721	−	20.3525i	0.805258	−	0.824723i
$610$	−7.79633	−	1.77946i	−0.315664	−	0.0720482i
$611$	5.26294	−	10.2519i	0.212916	−	0.414746i
$612$	9.74300	−	64.6405i	0.393837	−	2.61294i
$613$	4.36955	+	5.92052i	0.176484	+	0.239128i	0.883907	−	0.467663i	$-0.154904\pi$
$613$	4.36955	+	5.92052i	0.176484	+	0.239128i	−0.707422	+	0.706791i	$0.750142\pi$
$614$	23.9188	−	25.7783i	0.965282	−	1.04033i
$615$	−7.01117	+	30.7179i	−0.282718	+	1.23867i
$616$	−18.5808	+	55.2069i	−0.748641	+	2.22435i
$617$	17.6568	−	28.1007i	0.710837	−	1.13129i	−0.274651	−	0.961544i	$-0.588562\pi$
$617$	17.6568	−	28.1007i	0.710837	−	1.13129i	0.985488	−	0.169746i	$-0.0542949\pi$
$618$	5.97775	+	22.3093i	0.240460	+	0.897410i
$619$	−0.771037	+	2.87755i	−0.0309906	+	0.115659i	−0.979688	−	0.200526i	$-0.935735\pi$
$619$	−0.771037	+	2.87755i	−0.0309906	+	0.115659i	0.948698	+	0.316184i	$0.102402\pi$
$620$	12.2336	−	11.3511i	0.491312	−	0.455871i
$621$	4.70356	−	3.20683i	0.188747	−	0.128686i
$622$	36.7954	−	4.14585i	1.47536	−	0.166233i
$623$	29.6918	+	31.2434i	1.18958	+	1.25174i
$624$	59.5785	−	9.70749i	2.38505	−	0.388611i
$625$	14.8917	+	4.59347i	0.595666	+	0.183739i
$626$	18.6109	+	42.6566i	0.743840	+	1.70490i
$627$	−5.71261	−	76.2295i	−0.228140	−	3.04431i
$628$	27.0102	+	68.8208i	1.07782	+	2.74625i
$629$	−7.74035	+	22.1206i	−0.308628	+	0.882008i
$630$	2.33408	+	47.2663i	0.0929922	+	1.88314i
$631$	−2.40584	+	0.841839i	−0.0957749	+	0.0335131i	−0.377741	−	0.925911i	$-0.623299\pi$
$631$	−2.40584	+	0.841839i	−0.0957749	+	0.0335131i	0.281966	+	0.959424i	$0.409013\pi$
$632$	47.1676	+	54.8098i	1.87623	+	2.18022i
$633$	18.3377	+	59.4495i	0.728860	+	2.36291i
$634$	2.01785	−	2.95964i	0.0801389	−	0.117542i
$635$	26.3307	+	19.4329i	1.04490	+	0.771172i
$636$	127.234			5.04517
$637$	15.0198	−	20.2831i	0.595107	−	0.803647i
$638$	38.2132			1.51287
$639$	−24.7090	−	18.2361i	−0.977474	−	0.721409i
$640$	−14.8385	+	21.7641i	−0.586543	+	0.860301i
$641$	0.343964	+	1.11510i	0.0135858	+	0.0440439i	0.962112	−	0.272655i	$-0.0879017\pi$
$641$	0.343964	+	1.11510i	0.0135858	+	0.0440439i	−0.948526	+	0.316699i	$0.897426\pi$
$642$	−37.1329	−	43.1493i	−1.46552	−	1.70297i
$643$	−38.0678	+	13.3205i	−1.50125	+	0.525310i	−0.950866	−	0.309602i	$-0.899804\pi$
$643$	−38.0678	+	13.3205i	−1.50125	+	0.525310i	−0.550383	+	0.834912i	$0.685518\pi$
$644$	−24.9826	+	22.0239i	−0.984451	+	0.867864i
$645$	7.66099	−	21.8938i	0.301651	−	0.862069i
$646$	−29.4062	−	74.9257i	−1.15697	−	2.94791i
$647$	−0.555270	−	7.40956i	−0.0218299	−	0.291300i	−0.997425	−	0.0717212i	$-0.977151\pi$
$647$	−0.555270	−	7.40956i	−0.0218299	−	0.291300i	0.975595	−	0.219579i	$-0.0704682\pi$
$648$	−14.7585	−	33.8269i	−0.579769	−	1.32885i
$649$	−29.8451	−	9.20600i	−1.17152	−	0.361367i
$650$	−10.7788	−	7.75839i	−0.422778	−	0.304309i
$651$	−4.26221	−	13.2537i	−0.167049	−	0.519455i
$652$	5.67449	−	0.639361i	0.222230	−	0.0250393i
$653$	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
$655$	−5.56879	+	20.7830i	−0.217591	+	0.812060i
$656$	−10.7280	−	40.0376i	−0.418859	−	1.56320i
$657$	−10.4964	+	16.7049i	−0.409502	+	0.651719i
$658$	−21.2554	−	2.13819i	−0.828620	−	0.0833554i
$659$	−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
$661$	−11.8122	−	16.0049i	−0.459440	−	0.622519i	0.512234	−	0.858846i	$-0.328818\pi$
$661$	−11.8122	−	16.0049i	−0.459440	−	0.622519i	−0.971674	+	0.236327i	$0.924056\pi$
$662$	−2.77583	+	18.4164i	−0.107886	+	0.715775i
$663$	−35.3934	+	11.3811i	−1.37457	+	0.442004i
$664$	78.4665	+	17.9095i	3.04509	+	0.695022i
$665$	21.6889	+	33.6198i	0.841061	+	1.30372i
$666$	−12.4992	−	54.7626i	−0.484334	−	2.12201i
$667$	10.2855	+	5.93831i	0.398255	+	0.229932i
$668$	−23.5305	−	6.30497i	−0.910422	−	0.243947i
$669$	−41.2185	−	1.54229i	−1.59360	−	0.0596283i
$670$	39.9931	+	7.56711i	1.54507	+	0.292343i
$671$	−6.11492	+	0.688986i	−0.236064	+	0.0265980i
$672$	−14.8489	−	25.0241i	−0.572808	−	0.965325i
$673$	20.2720	−	16.1664i	0.781428	−	0.623168i	−0.149337	−	0.988786i	$-0.547714\pi$
$673$	20.2720	−	16.1664i	0.781428	−	0.623168i	0.930765	+	0.365618i	$0.119142\pi$
$674$	32.8941	−	17.3850i	1.26703	−	0.669646i
$675$	1.05563	−	2.68969i	0.0406311	−	0.103526i
$676$	−33.2030	−	46.2899i	−1.27704	−	1.78038i
$677$	−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	$0.445814\pi$
$678$	24.3846	−	69.6873i	0.936486	−	2.67632i
$679$	−15.7245	−	38.7001i	−0.603453	−	1.48517i
$680$	−19.4851	+	40.4613i	−0.747221	+	1.55162i
$681$	−43.2894	+	37.2535i	−1.65885	+	1.42756i
$682$	8.73938	−	16.5357i	0.334648	−	0.633185i
$683$	28.8151	−	5.45211i	1.10258	−	0.208619i	0.397398	−	0.917646i	$-0.369913\pi$
$683$	28.8151	−	5.45211i	1.10258	−	0.208619i	0.705181	+	0.709027i	$0.250866\pi$
$684$	106.578	+	78.6583i	4.07512	+	3.00757i
$685$			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
$689$	−17.8985	−	36.0610i	−0.681880	−	1.37381i
$690$	−33.9377	+	10.4684i	−1.29199	+	0.398525i
$691$	11.6129	+	13.4944i	0.441774	+	0.513351i	0.934076	−	0.357074i	$-0.116225\pi$
$691$	11.6129	+	13.4944i	0.441774	+	0.513351i	−0.492302	+	0.870424i	$0.663845\pi$
$692$	−27.8380	+	57.8061i	−1.05824	+	2.19746i
$693$	13.7081	+	33.7375i	0.520729	+	1.28158i
$694$	56.2536	+	19.6840i	2.13536	+	0.747194i
$695$	−4.33605	+	9.93832i	−0.164476	+	0.376982i
$696$	−42.2015	+	49.0390i	−1.59964	+	1.85882i
$697$	10.2088	+	23.3989i	0.386687	+	0.886297i
$698$	17.1421	−	55.5734i	0.648839	−	2.10348i
$699$	19.6845	+	24.6836i	0.744535	+	0.933618i
$700$	−4.17981	+	16.3792i	−0.157982	+	0.619075i
$701$	27.1661	+	21.6643i	1.02605	+	0.818248i	0.983511	−	0.180847i	$-0.0578838\pi$
$701$	27.1661	+	21.6643i	1.02605	+	0.818248i	0.0425392	+	0.999095i	$0.486455\pi$
$702$	11.6105	−	13.8214i	0.438209	−	0.521654i
$703$	−32.3002	−	34.8113i	−1.21822	−	1.31293i
$704$	−2.07563	+	7.74636i	−0.0782283	+	0.291952i
$705$	−13.5463	−	7.82094i	−0.510182	−	0.294554i
$706$	−2.23502	−	9.79228i	−0.0841162	−	0.368537i
$707$	11.6429	−	7.51111i	0.437876	−	0.282484i
$708$	82.3671	−	51.7547i	3.09554	−	1.94506i
$709$	−6.42441	+	0.240385i	−0.241274	+	0.00902783i	−0.157755	−	0.987478i	$-0.550426\pi$
$709$	−6.42441	+	0.240385i	−0.241274	+	0.00902783i	−0.0835192	+	0.996506i	$0.526616\pi$
$710$	23.0465	+	31.2269i	0.864920	+	1.17193i
$711$	44.7019	+	6.73772i	1.67645	+	0.252684i
$712$	−71.8637	−	66.6798i	−2.69321	−	2.49893i
$713$	4.92194	−	3.09266i	0.184328	−	0.115821i
$714$	43.6114	+	53.3670i	1.63212	+	1.99721i
$715$	23.8087	+	7.03442i	0.890396	+	0.263072i
$716$	−15.8852	+	27.5140i	−0.593659	+	1.02825i
$717$	57.5136	+	15.4107i	2.14789	+	0.575524i
$718$	−1.00996	+	0.937110i	−0.0376915	+	0.0349726i
$719$	5.19765	−	3.54369i	0.193839	−	0.132158i	−0.462511	−	0.886613i	$-0.653052\pi$
$719$	5.19765	−	3.54369i	0.193839	−	0.132158i	0.656351	+	0.754456i	$0.272099\pi$
$720$	−5.10387	−	45.2981i	−0.190210	−	1.68816i
$721$	−8.27523	−	4.24795i	−0.308186	−	0.158202i
$722$	114.374	+	12.8869i	4.25657	+	0.479601i
$723$	−34.0492	+	17.9955i	−1.26630	+	0.669260i
$724$	70.4006	+	27.6302i	2.61642	+	1.02687i
$725$	6.01129	−	0.450484i	0.223254	−	0.0167305i
$726$	−6.26643	+	14.3628i	−0.232569	+	0.533054i
$727$	20.9694	−	10.0983i	0.777713	−	0.374527i	−0.00253541	−	0.999997i	$-0.500807\pi$
$727$	20.9694	−	10.0983i	0.777713	−	0.374527i	0.780248	+	0.625470i	$0.215093\pi$
$728$	−31.1968	+	48.1883i	−1.15623	+	1.78598i
$729$	−34.7167	−	16.7187i	−1.28580	−	0.619211i
$730$	18.8985	−	16.2635i	0.699465	−	0.601939i
$731$	−5.53961	−	17.9590i	−0.204890	−	0.664236i
$732$	10.7966	−	15.8357i	0.399054	−	0.585305i
$733$	−21.8662	+	29.6276i	−0.807646	+	1.09432i	0.186086	+	0.982533i	$0.440420\pi$
$733$	−21.8662	+	29.6276i	−0.807646	+	1.09432i	−0.993732	+	0.111788i	$0.964342\pi$
$734$	−51.5257	+	51.5257i	−1.90185	+	1.90185i
$735$	−26.4928	−	21.7195i	−0.977201	−	0.801137i
$736$	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
$739$	16.5772	−	31.3656i	0.609803	−	1.15380i	−0.365057	−	0.930985i	$-0.618951\pi$
$739$	16.5772	−	31.3656i	0.609803	−	1.15380i	0.974860	−	0.222818i	$-0.0715257\pi$
$740$	−3.64248	+	48.6056i	−0.133900	+	1.78678i
$741$	13.1225	−	74.1831i	0.482068	−	2.72518i
$742$	−50.1046	+	55.3102i	−1.83940	+	2.03050i
$743$	4.35934	+	1.52540i	0.159929	+	0.0559614i	0.409056	−	0.912509i	$-0.365858\pi$
$743$	4.35934	+	1.52540i	0.159929	+	0.0559614i	−0.249127	+	0.968471i	$0.580144\pi$
$744$	11.5688	+	29.4768i	0.424132	+	1.08067i
$745$	−0.411421	−	5.49003i	−0.0150733	−	0.201139i
$746$	−8.24932	+	3.59914i	−0.302029	+	0.131774i
$747$	44.4856	−	23.5113i	1.62764	−	0.860235i
$748$	−7.11786	+	63.1728i	−0.260255	+	2.30983i
$749$	22.9197	+	0.583623i	0.837466	+	0.0213251i
$750$	−49.7820	+	62.4246i	−1.81778	+	2.27943i
$751$	12.1980	+	17.8912i	0.445112	+	0.652860i	0.981578	−	0.191062i	$-0.0611933\pi$
$751$	12.1980	+	17.8912i	0.445112	+	0.652860i	−0.536466	+	0.843922i	$0.680241\pi$
$752$	20.5631	+	0.769419i	0.749861	+	0.0280578i
$753$	59.4873	−	34.3450i	2.16784	−	1.25160i
$754$	36.4894	+	9.31271i	1.32887	+	0.339149i
$755$	−3.94340	+	0.900056i	−0.143515	+	0.0327564i
$756$	−21.7756	−	7.32894i	−0.791971	−	0.266551i
$757$	−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
$759$	−21.9892	+	16.2288i	−0.798158	+	0.589068i
$760$	−54.0370	−	73.2175i	−1.96013	−	2.65588i
$761$	−1.84236	−	49.2380i	−0.0667853	−	1.78488i	−0.483011	−	0.875614i	$-0.660457\pi$
$761$	−1.84236	−	49.2380i	−0.0667853	−	1.78488i	0.416226	−	0.909261i	$-0.363353\pi$
$762$	−96.7216	+	60.7742i	−3.50385	+	2.20162i
$763$	0.0180723	+	1.51332i	0.000654260	+	0.0547859i
$764$	19.6216	−	4.47850i	0.709884	−	0.162026i
$765$	7.26649	+	27.1189i	0.262721	+	0.980487i
$766$	8.26113	+	14.3087i	0.298487	+	0.516994i
$767$	−26.2553	−	16.0641i	−0.948024	−	0.580041i
$768$	−45.3731	−	66.5501i	−1.63726	−	2.40142i
$769$	−3.39805	−	30.1585i	−0.122537	−	1.08754i	−0.892999	−	0.450058i	$-0.851403\pi$
$769$	−3.39805	−	30.1585i	−0.122537	−	1.08754i	0.770462	−	0.637485i	$-0.220025\pi$
$770$	−3.98702	−	45.8491i	−0.143682	−	1.65229i
$771$	10.2297	−	8.15795i	0.368415	−	0.293801i
$772$	−6.77944	−	12.8273i	−0.243997	−	0.461666i
$773$	−15.1902	−	34.8164i	−0.546355	−	1.25226i	−0.942541	−	0.334089i	$-0.891571\pi$
$773$	−15.1902	−	34.8164i	−0.546355	−	1.25226i	0.396186	−	0.918170i	$-0.370333\pi$
$774$	34.1431	+	29.3825i	1.22725	+	1.05613i
$775$	1.17985	−	2.70425i	0.0423815	−	0.0971394i
$776$	41.2238	+	85.6020i	1.47985	+	3.07293i
$777$	35.4548	+	19.9092i	1.27194	+	0.714238i
$778$	−45.3348	+	15.8633i	−1.62533	+	0.568728i
$779$	−51.5851	−	3.86577i	−1.84823	−	0.138505i
$780$	−64.9768	+	41.9159i	−2.32654	+	1.50083i
$781$	24.6757	+	16.8236i	0.882964	+	0.601995i
$782$	−17.0878	+	23.1532i	−0.611060	+	0.827957i
$783$			8.19339i			0.292808i
$784$	44.1647	+	8.97637i	1.57731	+	0.320585i
$785$	−22.4522	−	22.4522i	−0.801355	−	0.801355i
$786$	−60.4285	−	44.5982i	−2.15541	−	1.59077i
$787$	3.20387	+	16.9329i	0.114206	+	0.603591i	0.992173	+	0.124871i	$0.0398516\pi$
$787$	3.20387	+	16.9329i	0.114206	+	0.603591i	−0.877967	+	0.478720i	$0.841101\pi$
$788$	36.3887	−	68.8508i	1.29629	−	2.45271i
$789$	−32.6647	−	2.44788i	−1.16289	−	0.0871469i
$790$	−51.4739	−	24.7885i	−1.83136	−	0.881936i
$791$	14.2070	+	26.1211i	0.505144	+	0.928760i
$792$	−35.9375	−	74.6250i	−1.27698	−	2.65168i
$793$	−6.00699	−	0.832325i	−0.213315	−	0.0295567i
$794$	3.16060	−	0.236854i	0.112165	−	0.00840563i
$795$	−50.0854	+	21.8521i	−1.77635	+	0.775012i
$796$	−28.6837	+	92.9904i	−1.01667	+	3.29596i
$797$	−0.586565	−	0.735530i	−0.0207772	−	0.0260538i	0.771334	−	0.636430i	$-0.219590\pi$
$797$	−0.586565	−	0.735530i	−0.0207772	−	0.0260538i	−0.792112	+	0.610376i	$0.791018\pi$
$798$	−136.899	+	27.6000i	−4.84618	+	0.977029i
$799$	−12.5940	+	1.41900i	−0.445544	+	0.0502007i
$800$	1.14643	−	6.05901i	0.0405323	−	0.214218i
$801$	−61.2449	−	2.29162i	−2.16398	−	0.0809705i
$802$	−7.57918	−	13.1275i	−0.267630	−	0.463549i
$803$	9.59306	−	16.6157i	0.338532	−	0.586354i
$804$	−51.9011	+	82.6001i	−1.83041	+	2.91308i
$805$	6.05179	−	12.9603i	0.213298	−	0.456792i
$806$	12.3750	−	13.6600i	0.435890	−	0.481152i
$807$	−48.3351	−	44.8484i	−1.70147	−	1.57874i
$808$	−25.3560	+	18.7136i	−0.892021	+	0.658342i
$809$	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
$811$	−18.2013	−	28.9672i	−0.639133	−	1.01717i	−0.996531	−	0.0832221i	$-0.973479\pi$
$811$	−18.2013	−	28.9672i	−0.639133	−	1.01717i	0.357398	−	0.933952i	$-0.383664\pi$
$812$	−5.93532	−	47.5651i	−0.208289	−	1.66921i
$813$	−45.0893	−	28.3315i	−1.58135	−	0.993628i
$814$	14.1382	+	52.7645i	0.495543	+	1.84939i
$815$	−2.12394	+	1.22626i	−0.0743984	+	0.0429539i
$816$	−45.1548	−	48.6653i	−1.58073	−	1.70363i
$817$	37.4185	+	7.07995i	1.30911	+	0.247696i
$818$	−48.6318	+	60.9824i	−1.70037	+	2.13220i
$819$	4.86782	+	35.5564i	0.170095	+	1.24244i
$820$	33.1044	+	41.5116i	1.15606	+	1.44965i
$821$	3.01021	+	5.69560i	0.105057	+	0.198778i	0.931040	−	0.364918i	$-0.118903\pi$
$821$	3.01021	+	5.69560i	0.105057	+	0.198778i	−0.825983	+	0.563696i	$0.809379\pi$
$822$	−3.98788	−	1.56513i	−0.139093	−	0.0545901i
$823$	51.6839	−	3.87318i	1.80159	−	0.135010i	0.868738	−	0.495273i	$-0.164932\pi$
$823$	51.6839	−	3.87318i	1.80159	−	0.135010i	0.932851	+	0.360262i	$0.117313\pi$
$824$	19.3916	+	8.46046i	0.675538	+	0.294734i
$825$	−4.58145	+	13.0930i	−0.159505	+	0.455840i
$826$	−9.93767	+	56.1868i	−0.345776	+	1.95499i
$827$	42.9993	−	15.0461i	1.49523	−	0.523205i	0.546002	−	0.837784i	$-0.316149\pi$
$827$	42.9993	−	15.0461i	1.49523	−	0.523205i	0.949231	+	0.314580i	$0.101864\pi$
$828$	3.53897	−	47.2243i	0.122988	−	1.64116i
$829$	1.65696	−	0.511106i	0.0575488	−	0.0177514i	−0.265847	−	0.964015i	$-0.585652\pi$
$829$	1.65696	−	0.511106i	0.0575488	−	0.0177514i	0.323396	+	0.946264i	$0.395175\pi$
$830$	−62.4807	+	11.8220i	−2.16874	+	0.410347i
$831$	−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
$837$	3.54547	+	1.87383i	0.122549	+	0.0647692i
$838$	39.0697	+	45.3999i	1.34964	+	1.56831i
$839$	4.13132	+	11.8066i	0.142629	+	0.407611i	0.992932	−	0.118683i	$-0.0378671\pi$
$839$	4.13132	+	11.8066i	0.142629	+	0.407611i	−0.850303	+	0.526293i	$0.823581\pi$
$840$	63.2414	+	45.5178i	2.18203	+	1.57051i
$841$	10.7272	−	5.16596i	0.369904	−	0.178137i
$842$	77.6215	−	30.4642i	2.67501	−	1.04987i
$843$	47.0770	−	54.7045i	1.62142	−	1.88412i
$844$	97.5914	+	38.3018i	3.35924	+	1.31840i
$845$	21.0204	+	12.5194i	0.723125	+	0.430680i
$846$	23.7492	−	18.9393i	0.816513	−	0.651147i
$847$	−2.59266	−	5.75398i	−0.0890848	−	0.197709i
$848$	44.8212	−	56.2040i	1.53917	−	1.93005i
$849$	−10.6112	−	15.5638i	−0.364175	−	0.534147i
$850$	−0.546125	+	14.5955i	−0.0187319	+	0.500621i
$851$	−4.39414	+	16.3992i	−0.150629	+	0.562156i
$852$	−89.8481	+	24.0747i	−3.07815	+	0.824787i
$853$	6.66447	−	10.6064i	0.228187	−	0.363157i	−0.712932	−	0.701233i	$-0.752633\pi$
$853$	6.66447	−	10.6064i	0.228187	−	0.363157i	0.941119	+	0.338076i	$0.109776\pi$
$854$	2.63228	+	10.9295i	0.0900748	+	0.374000i
$855$	−55.4635	−	12.6592i	−1.89681	−	0.432935i
$856$	−52.1106	+	1.94984i	−1.78111	+	0.0666442i
$857$	−6.45792	−	0.973375i	−0.220598	−	0.0332499i	0.0378129	−	0.999285i	$-0.487961\pi$
$857$	−6.45792	−	0.973375i	−0.220598	−	0.0332499i	−0.258411	+	0.966035i	$0.583199\pi$
$858$	−53.2190	+	68.3908i	−1.81687	+	2.33482i
$859$	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	$-0.0245134\pi$
$860$	−20.7959	−	33.0965i	−0.709135	−	1.12858i
$861$	43.0628	−	10.3713i	1.46758	−	0.353454i
$862$	−17.4674	+	3.98682i	−0.594941	+	0.135791i
$863$	−21.0953	+	5.65247i	−0.718092	+	0.192412i	−0.599320	−	0.800509i	$-0.704562\pi$
$863$	−21.0953	+	5.65247i	−0.718092	+	0.192412i	−0.118772	+	0.992922i	$0.537896\pi$
$864$	8.09587	+	2.16928i	0.275427	+	0.0738005i
$865$	1.03034	−	27.5363i	0.0350325	−	0.936262i
$866$	34.2397	+	6.47850i	1.16351	+	0.220148i
$867$	−2.59487	−	2.06934i	−0.0881266	−	0.0702786i
$868$	−21.9399	−	8.30983i	−0.744690	−	0.282054i
$869$	−43.6868	−	4.92232i	−1.48197	−	0.166978i
$870$	15.0668	−	48.8455i	0.510814	−	1.65602i
$871$	30.7118	+	3.09023i	1.04063	+	0.104708i
$872$	−0.257240	−	3.43263i	−0.00871125	−	0.116244i
$873$	54.4421	+	23.7528i	1.84259	+	0.803912i
$874$	−25.2995	−	52.5350i	−0.855769	−	1.77702i
$875$	−5.17207	−	31.7380i	−0.174848	−	1.07294i
$876$	19.7365	+	56.4037i	0.666835	+	1.90571i
$877$	40.9769	−	35.2635i	1.38369	−	1.19076i	0.425388	−	0.905011i	$-0.360138\pi$
$877$	40.9769	−	35.2635i	1.38369	−	1.19076i	0.958304	−	0.285752i	$-0.0922432\pi$
$878$	−7.11388	−	3.75980i	−0.240082	−	0.126887i
$879$	5.00057	−	0.946159i	0.168665	−	0.0319132i
$880$	6.60716	+	43.8356i	0.222727	+	1.47770i
$881$	−18.8039			−0.633521			−0.316760	−	0.948506i	$-0.602595\pi$
$881$	−18.8039			−0.633521			−0.316760	+	0.948506i	$0.602595\pi$
$882$	58.0596	−	32.4824i	1.95497	−	1.09374i
$883$			27.7131i			0.932619i	0.884622	+	0.466310i	$0.154417\pi$
$883$			27.7131i			0.932619i	−0.884622	+	0.466310i	$0.845583\pi$
$884$	−22.1922	+	58.5885i	−0.746406	+	1.97054i
$885$	−23.5349	+	34.5194i	−0.791117	+	1.16036i
$886$	20.1223	+	10.6349i	0.676022	+	0.357288i
$887$	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
$889$	8.01256	−	45.3024i	0.268733	−	1.51939i
$890$	73.1081	+	25.5816i	2.45059	+	0.857498i
$891$	20.5659	+	8.97280i	0.688982	+	0.300600i
$892$	−45.3390	+	52.6848i	−1.51806	+	1.76402i
$893$	9.38226	−	23.9056i	0.313966	−	0.799971i
$894$	18.3634	+	5.66435i	0.614163	+	0.189444i
$895$	1.52774	−	13.5591i	0.0510667	−	0.453229i
$896$	36.6803	+	5.08148i	1.22540	+	0.169760i
$897$	−24.9523	+	10.1379i	−0.833135	+	0.338493i
$898$	16.8901	−	11.5155i	0.563631	−	0.384277i
$899$	−0.312828	+	8.36050i	−0.0104334	+	0.278838i
$900$	−12.0183	−	20.8162i	−0.400609	−	0.693875i
$901$	−22.1378	+	38.3437i	−0.737515	+	1.27741i
$902$	50.3841	+	31.6585i	1.67761	+	1.05411i
$903$	−32.3575	+	4.03767i	−1.07679	+	0.134365i
$904$	−35.9818	−	57.2647i	−1.19674	−	1.90460i
$905$	−32.4584	+	1.21451i	−1.07895	+	0.0403716i
$906$	2.10429	−	13.9611i	0.0699104	−	0.463825i
$907$	−4.00290	+	26.5575i	−0.132914	+	0.881828i	0.818631	+	0.574319i	$0.194733\pi$
$907$	−4.00290	+	26.5575i	−0.132914	+	0.881828i	−0.951545	+	0.307508i	$0.900505\pi$
$908$	3.59860	+	96.1747i	0.119424	+	3.19167i
$909$	−4.38401	+	19.2076i	−0.145408	+	0.637076i
$910$	7.36645	−	44.7526i	0.244195	−	1.48353i
$911$	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	$0.532940\pi$
$912$	129.938	−	34.8167i	4.30266	−	1.15290i
$913$	−42.3767	+	24.4662i	−1.40247	+	0.809714i
$914$	−40.4670	−	43.6130i	−1.33853	−	1.44259i
$915$	−1.53033	+	8.08798i	−0.0505911	+	0.267380i
$916$	−6.83340	−	60.6481i	−0.225782	−	2.00387i
$917$	29.6510	−	5.97788i	0.979164	−	0.197407i
$918$	−19.7271	−	2.22271i	−0.651092	−	0.0733604i
$919$	−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
$921$	−27.4368	−	23.6112i	−0.904072	−	0.778017i
$922$	−34.1283	−	86.9574i	−1.12395	−	2.86379i
$923$	19.4626	+	22.0782i	0.640619	+	0.726714i
$924$	105.782	+	31.2510i	3.47997	+	1.02808i
$925$	2.84609	+	8.13367i	0.0935790	+	0.267433i
$926$	−3.01227	+	40.1959i	−0.0989893	+	1.32092i
$927$	12.6390	−	3.89862i	0.415120	−	0.128048i
$928$	3.25086	+	17.1812i	0.106715	+	0.564001i
$929$	−7.92947	+	10.7440i	−0.260157	+	0.352501i	−0.915135	−	0.403148i	$-0.867916\pi$
$929$	−7.92947	+	10.7440i	−0.260157	+	0.352501i	0.654978	+	0.755648i	$0.272678\pi$
$930$	−17.6908	−	17.6908i	−0.580103	−	0.580103i
$931$	28.7781	−	48.3247i	0.943165	−	1.58378i
$932$	53.2024			1.74270
$933$	−5.68072	−	37.6891i	−0.185978	−	1.23389i
$934$	8.88947	+	46.9820i	0.290872	+	1.53730i
$935$	−8.04778	−	26.0903i	−0.263191	−	0.853243i
$936$	−16.1300	−	80.0169i	−0.527225	−	2.61543i
$937$	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	$-0.0869420\pi$
$938$	−15.4686	−	55.0898i	−0.505069	−	1.79874i
$939$	43.1613	−	20.7854i	1.40852	−	0.678305i
$940$	−24.5367	+	9.62995i	−0.800299	+	0.314094i
$941$	36.7611	+	31.6355i	1.19838	+	1.03129i	0.998677	+	0.0514302i	$0.0163780\pi$
$941$	36.7611	+	31.6355i	1.19838	+	1.03129i	0.199701	+	0.979857i	$0.436003\pi$
$942$	101.586	−	44.3216i	3.30986	−	1.44408i
$943$	8.64169	+	16.3509i	0.281412	+	0.532458i
$944$	6.15378	−	54.6163i	0.200288	−	1.77761i
$945$	9.83064	−	0.854868i	0.319791	−	0.0278089i
$946$	−34.2491	−	27.3127i	−1.11353	−	0.888014i
$947$	−4.28325	+	22.6375i	−0.139187	+	0.735621i	0.841533	+	0.540205i	$0.181653\pi$
$947$	−4.28325	+	22.6375i	−0.139187	+	0.735621i	−0.980720	+	0.195416i	$0.937394\pi$
$948$	100.375	−	93.1347i	3.26004	−	3.02487i
$949$	13.2096	−	13.5283i	0.428803	−	0.439147i
$950$	−25.6307	−	14.7979i	−0.831568	−	0.480106i
$951$	−3.12202	−	1.96169i	−0.101238	−	0.0636122i
$952$	63.1285	−	0.753889i	2.04601	−	0.0244337i
$953$	5.29425	+	1.20838i	0.171498	+	0.0391432i	0.307407	−	0.951578i	$-0.400539\pi$
$953$	5.29425	+	1.20838i	0.171498	+	0.0391432i	−0.135910	+	0.990721i	$0.543396\pi$
$954$	−3.96794	−	106.045i	−0.128467	−	3.43335i
$955$	−6.95482	+	5.13289i	−0.225053	+	0.166096i
$956$	80.7314	−	59.5825i	2.61104	−	1.92703i
$957$	−1.47076	−	39.3070i	−0.0475430	−	1.27061i
$958$	85.4583	+	19.5053i	2.76103	+	0.630188i
$959$	1.54545	−	0.767115i	0.0499050	−	0.0247714i
$960$	9.08330	+	5.70742i	0.293162	+	0.184206i
$961$	−23.3006	−	13.4526i	−0.751631	−	0.433954i
$962$	0.641522	+	53.8299i	0.0206835	+	1.73554i
$963$	−23.8981	+	22.1742i	−0.770106	+	0.714554i
$964$	−12.0654	+	63.7670i	−0.388600	+	2.05380i
$965$	4.87176	+	3.88510i	0.156828	+	0.125066i
$966$	34.3944	+	36.1917i	1.10662	+	1.16445i
$967$	−6.48989	+	57.5994i	−0.208701	+	1.85227i	0.255840	+	0.966719i	$0.417648\pi$
$967$	−6.48989	+	57.5994i	−0.208701	+	1.85227i	−0.464541	+	0.885552i	$0.653781\pi$
$968$	6.70739	+	12.6910i	0.215584	+	0.407904i
$969$	−75.9386	+	33.1317i	−2.43950	+	1.06434i
$970$	−56.8983	−	48.9650i	−1.82689	−	1.57217i
$971$	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
$973$	15.2247	−	0.751819i	0.488081	−	0.0241022i
$974$	41.0095	−	85.1572i	1.31403	−	2.72861i
$975$	−7.56561	+	11.3859i	−0.242293	+	0.364640i
$976$	−3.19186	−	10.3478i	−0.102169	−	0.331223i
$977$	−5.46902	−	28.9045i	−0.174970	−	0.924737i	−0.954464	−	0.298327i	$-0.903571\pi$
$977$	−5.46902	−	28.9045i	−0.174970	−	0.924737i	0.779494	−	0.626410i	$-0.215476\pi$
$978$	−1.27591	−	8.46509i	−0.0407990	−	0.270684i
$979$	59.6019			1.90488
$980$	−56.4506	+	12.0841i	−1.80325	+	0.386013i
$981$	−1.52169	−	1.52169i	−0.0485839	−	0.0485839i
$982$	50.5547	−	68.4992i	1.61327	−	2.18590i
$983$	2.66696	+	14.0952i	0.0850628	+	0.449568i	0.999040	+	0.0438026i	$0.0139473\pi$
$983$	2.66696	+	14.0952i	0.0850628	+	0.449568i	−0.913977	+	0.405765i	$0.867005\pi$
$984$	−96.2701	+	29.6954i	−3.06898	+	0.946654i
$985$	−2.49943	+	33.3526i	−0.0796384	+	1.06270i
$986$	−13.6790	−	39.0925i	−0.435630	−	1.24496i
$987$	−1.38131	+	21.9461i	−0.0439676	+	0.698551i
$988$	−83.9486	−	95.2307i	−2.67076	−	3.02969i
$989$	−4.97410	−	12.6738i	−0.158167	−	0.403003i
$990$	49.6021	+	42.6860i	1.57646	+	1.35665i
$991$	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
$993$	19.0504	+	2.14647i	0.604547	+	0.0681161i
$994$	24.9165	−	48.5386i	0.790303	−	1.53955i
$995$	−4.67951	−	41.5318i	−0.148350	−	1.31665i
$996$	28.3338	−	149.748i	0.897792	−	4.74495i
$997$	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
$999$	−11.3134	+	3.03141i	−0.357939	+	0.0959095i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
637.2.cc.a.5.5	✓	1536	13.5	odd	4	inner
637.2.cc.a.255.5	yes	1536	49.10	odd	42	inner
637.2.cc.a.304.5	yes	1536	637.304	even	84	inner
637.2.cc.a.593.5	yes	1536	1.1	even	1	trivial

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+(-2.03263 - 1.50015i) q^{2} +(-1.46486 + 2.14855i) q^{3} +(1.29163 + 4.18737i) q^{4} +(-1.22761 - 1.42651i) q^{5} +(6.20067 - 2.16971i) q^{6} +(-1.02898 + 2.43746i) q^{7} +(1.98752 - 5.68000i) q^{8} +(-1.37445 - 3.50203i) q^{9} +(0.355302 + 4.74118i) q^{10} +(1.46305 + 3.35334i) q^{11} +(-10.8888 - 3.35876i) q^{12} +(0.579828 + 3.55862i) q^{13} +(5.74810 - 3.41083i) q^{14} +(4.86322 - 0.547953i) q^{15} +(-5.31953 + 3.62679i) q^{16} +(2.90678 - 2.69709i) q^{17} +(-2.45983 + 9.18021i) q^{18} +(2.07960 + 7.76117i) q^{19} +(4.38771 - 6.98299i) q^{20} +(-3.72969 - 5.78135i) q^{21} +(2.05668 - 9.01089i) q^{22} +(1.95387 - 2.10577i) q^{23} +(9.29235 + 12.5907i) q^{24} +(0.217308 - 1.44174i) q^{25} +(4.15990 - 8.10320i) q^{26} +(1.93205 + 0.440978i) q^{27} +(-11.5356 - 1.16043i) q^{28} +(0.920002 + 4.03079i) q^{29} +(-10.7071 - 6.18177i) q^{30} +(1.95462 + 0.523739i) q^{31} +(4.22640 + 0.158141i) q^{32} +(-9.34798 - 1.76873i) q^{33} +(-9.95446 + 1.12160i) q^{34} +(4.74025 - 1.52440i) q^{35} +(12.8890 - 10.2786i) q^{36} +(-5.22530 + 2.76165i) q^{37} +(7.41586 - 18.8953i) q^{38} +(-8.49526 - 3.96709i) q^{39} +(-10.5425 + 4.13763i) q^{40} +(-2.12636 + 6.07680i) q^{41} +(-1.09181 + 17.3465i) q^{42} +(2.05643 - 4.27022i) q^{43} +(-12.1519 + 10.4576i) q^{44} +(-3.30840 + 6.25980i) q^{45} +(-7.13046 + 1.34916i) q^{46} +(-2.57161 - 1.89793i) q^{47} -16.7420i q^{48} +(-4.88239 - 5.01620i) q^{49} +(-2.60454 + 2.60454i) q^{50} +(1.53683 + 10.1962i) q^{51} +(-14.1523 + 7.02438i) q^{52} +(-10.6697 + 3.29115i) q^{53} +(-3.26561 - 3.79471i) q^{54} +(2.98752 - 6.20366i) q^{55} +(11.7996 + 10.6891i) q^{56} +(-19.7216 - 6.90088i) q^{57} +(4.17677 - 9.57326i) q^{58} +(-5.56844 + 6.47064i) q^{59} +(8.57596 + 19.6563i) q^{60} +(-0.495766 + 1.60723i) q^{61} +(-3.18734 - 3.99679i) q^{62} +(9.95033 + 0.253374i) q^{63} +(1.71377 + 1.36668i) q^{64} +(4.36462 - 5.19574i) q^{65} +(16.3476 + 17.6186i) q^{66} +(2.21573 - 8.26922i) q^{67} +(15.0482 + 8.68808i) q^{68} +(1.66221 + 7.28263i) q^{69} +(-11.9220 - 4.01255i) q^{70} +(6.91178 - 4.34296i) q^{71} +(-22.6233 + 0.846503i) q^{72} +(-3.11406 - 4.21940i) q^{73} +(14.7640 + 2.22532i) q^{74} +(2.77934 + 2.57885i) q^{75} +(-29.8128 + 18.7326i) q^{76} +(-9.67906 + 0.115589i) q^{77} +(11.3165 + 20.8078i) q^{78} +(-6.00820 + 10.4065i) q^{79} +(11.7040 + 3.13607i) q^{80} +(4.49577 - 4.17147i) q^{81} +(13.4382 - 9.16203i) q^{82} +(1.49748 + 13.2905i) q^{83} +(19.3912 - 23.0850i) q^{84} +(-7.41584 - 0.835564i) q^{85} +(-10.5859 + 5.59483i) q^{86} +(-10.0080 - 3.92787i) q^{87} +(21.9548 - 1.64529i) q^{88} +(6.51459 - 14.9316i) q^{89} +(16.1154 - 7.76077i) q^{90} +(-9.27062 - 2.24845i) q^{91} +(11.3413 + 5.46168i) q^{92} +(-3.98852 + 3.43240i) q^{93} +(2.37995 + 7.71560i) q^{94} +(8.51846 - 12.4943i) q^{95} +(-6.53084 + 8.84898i) q^{96} +(-11.1642 + 11.1642i) q^{97} +(2.39906 + 17.5204i) 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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