LMFDB - Embedded newform 750.2.o.a.229.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [750,2,Mod(19,750)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(750, base_ring=CyclotomicField(50)) chi = DirichletCharacter(H, H._module([0, 9])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("750.19"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 750 = 2 \cdot 3 \cdot 5^{3} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	750.o (of order $50$, degree $20$, minimal)

Newform invariants

comment:select newform

sage:traces = [240] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

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

Self dual:	no
Analytic conductor:	$5.98878015160$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$12$ over $\Q(\zeta_{50})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{50}]$

Embedding invariants

Embedding label			229.1
Character	$\chi$	$=$	750.229
Dual form			750.2.o.a.619.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.248690 - 0.968583i) q^{2} +(-0.982287 + 0.187381i) q^{3} +(-0.876307 + 0.481754i) q^{4} +(-2.11846 - 0.715620i) q^{5} +(0.425779 + 0.904827i) q^{6} +(-0.841583 + 1.15834i) q^{7} +(0.684547 + 0.728969i) q^{8} +(0.929776 - 0.368125i) q^{9} +(-0.166297 + 2.22988i) q^{10} +(-2.36769 + 0.607920i) q^{11} +(0.770513 - 0.637424i) q^{12} +(-0.543127 - 1.37178i) q^{13} +(1.33124 + 0.527076i) q^{14} +(2.21503 + 0.305983i) q^{15} +(0.535827 - 0.844328i) q^{16} +(1.63701 - 2.97771i) q^{17} +(-0.587785 - 0.809017i) q^{18} +(-0.852237 + 4.46758i) q^{19} +(2.20118 - 0.393476i) q^{20} +(0.609625 - 1.29552i) q^{21} +(1.17764 + 2.14212i) q^{22} +(8.17320 + 0.514214i) q^{23} +(-0.809017 - 0.587785i) q^{24} +(3.97578 + 3.03203i) q^{25} +(-1.19362 + 0.867213i) q^{26} +(-0.844328 + 0.535827i) q^{27} +(0.179451 - 1.42050i) q^{28} +(-0.0523394 - 0.00661200i) q^{29} +(-0.254486 - 2.22154i) q^{30} +(4.52175 + 2.48585i) q^{31} +(-0.951057 - 0.309017i) q^{32} +(2.21184 - 1.04081i) q^{33} +(-3.29127 - 0.845055i) q^{34} +(2.61180 - 1.85165i) q^{35} +(-0.637424 + 0.770513i) q^{36} +(2.70969 + 1.71962i) q^{37} +(4.53917 - 0.285580i) q^{38} +(0.790554 + 1.24571i) q^{39} +(-0.928524 - 2.03417i) q^{40} +(-0.552473 - 8.78131i) q^{41} +(-1.40643 - 0.268290i) q^{42} +(2.16888 - 0.704712i) q^{43} +(1.78196 - 1.67337i) q^{44} +(-2.23313 + 0.114492i) q^{45} +(-1.53453 - 8.04430i) q^{46} +(5.05523 - 5.38327i) q^{47} +(-0.368125 + 0.929776i) q^{48} +(1.52963 + 4.70772i) q^{49} +(1.94804 - 4.60491i) q^{50} +(-1.05005 + 3.23171i) q^{51} +(1.13681 + 0.940449i) q^{52} +(1.52527 + 0.717739i) q^{53} +(0.728969 + 0.684547i) q^{54} +(5.45091 + 0.406510i) q^{55} +(-1.42050 + 0.179451i) q^{56} -4.54814i q^{57} +(0.00661200 + 0.0523394i) q^{58} +(1.32538 + 1.60211i) q^{59} +(-2.08846 + 0.798965i) q^{60} +(0.190270 - 3.02425i) q^{61} +(1.28324 - 4.99789i) q^{62} +(-0.356071 + 1.38681i) q^{63} +(-0.0627905 + 0.998027i) q^{64} +(0.168921 + 3.29475i) q^{65} +(-1.55818 - 1.88351i) q^{66} +(-0.799125 - 6.32573i) q^{67} +3.39803i q^{68} +(-8.12478 + 1.02640i) q^{69} +(-2.44300 - 2.06925i) q^{70} +(0.276730 + 0.259867i) q^{71} +(0.904827 + 0.425779i) q^{72} +(8.85396 + 7.32464i) q^{73} +(0.991724 - 3.05221i) q^{74} +(-4.47350 - 2.23334i) q^{75} +(-1.40545 - 4.32554i) q^{76} +(1.28843 - 3.25421i) q^{77} +(1.00997 - 1.07551i) q^{78} +(2.80322 + 14.6950i) q^{79} +(-1.73935 + 1.40523i) q^{80} +(0.728969 - 0.684547i) q^{81} +(-8.36803 + 2.71894i) q^{82} +(3.61447 + 0.689497i) q^{83} +(0.0899027 + 1.42896i) q^{84} +(-5.59886 + 5.13670i) q^{85} +(-1.22195 - 1.92549i) q^{86} +(0.0526513 - 0.00331254i) q^{87} +(-2.06395 - 1.30982i) q^{88} +(-4.55307 + 5.50371i) q^{89} +(0.666253 + 2.13450i) q^{90} +(2.04608 + 0.525344i) q^{91} +(-7.40995 + 3.48686i) q^{92} +(-4.90746 - 1.59453i) q^{93} +(-6.47133 - 3.55764i) q^{94} +(5.00252 - 8.85453i) q^{95} +(0.992115 + 0.125333i) q^{96} +(1.52758 - 12.0921i) q^{97} +(4.17941 - 2.65233i) q^{98} +(-1.97763 + 1.43683i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 10 q^{11} + 20 q^{13} - 10 q^{17} + 10 q^{19} + 60 q^{23} - 60 q^{24} + 60 q^{25} + 10 q^{28} + 20 q^{29} + 10 q^{30} - 30 q^{31} - 10 q^{34} - 10 q^{35} + 20 q^{37} - 90 q^{38} - 20 q^{41} - 10 q^{42}+ \cdots - 20 q^{99}+O(q^{100}) $ 240 * q - 10 * q^11 + 20 * q^13 - 10 * q^17 + 10 * q^19 + 60 * q^23 - 60 * q^24 + 60 * q^25 + 10 * q^28 + 20 * q^29 + 10 * q^30 - 30 * q^31 - 10 * q^34 - 10 * q^35 + 20 * q^37 - 90 * q^38 - 20 * q^41 - 10 * q^42 - 10 * q^46 + 140 * q^47 + 50 * q^49 + 20 * q^50 + 10 * q^51 - 80 * q^52 + 30 * q^53 - 10 * q^55 - 30 * q^58 + 20 * q^59 + 40 * q^60 - 100 * q^61 - 10 * q^62 - 10 * q^63 - 20 * q^65 - 40 * q^66 - 10 * q^67 - 10 * q^69 + 10 * q^70 + 80 * q^71 + 20 * q^73 - 80 * q^75 + 10 * q^76 + 20 * q^77 + 140 * q^79 + 100 * q^82 - 70 * q^83 - 20 * q^85 + 20 * q^86 + 30 * q^87 - 10 * q^88 + 40 * q^89 + 10 * q^90 + 170 * q^91 + 120 * q^92 + 50 * q^93 - 30 * q^94 + 220 * q^95 - 60 * q^97 - 120 * q^98 - 20 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/750\mathbb{Z}\right)^\times$.

$n$	$127$	$251$
$\chi(n)$	$e\left(\frac{21}{50}\right)$	$1$

Coefficient data

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

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

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

$2$	−0.248690	−	0.968583i	−0.175850	−	0.684892i
$2$	−0.248690	−	0.968583i	−0.175850	−	0.684892i
$3$	−0.982287	+	0.187381i	−0.567124	+	0.108185i
$3$	−0.982287	+	0.187381i	−0.567124	+	0.108185i
$4$	−0.876307	+	0.481754i	−0.438153	+	0.240877i
$5$	−2.11846	−	0.715620i	−0.947406	−	0.320035i
$5$	−2.11846	−	0.715620i	−0.947406	−	0.320035i
$6$	0.425779	+	0.904827i	0.173824	+	0.369394i
$7$	−0.841583	+	1.15834i	−0.318089	+	0.437811i	−0.937882	−	0.346953i	$-0.887216\pi$
$7$	−0.841583	+	1.15834i	−0.318089	+	0.437811i	0.619794	+	0.784765i	$0.287216\pi$
$8$	0.684547	+	0.728969i	0.242024	+	0.257729i
$9$	0.929776	−	0.368125i	0.309925	−	0.122708i
$10$	−0.166297	+	2.22988i	−0.0525876	+	0.705149i
$11$	−2.36769	+	0.607920i	−0.713886	+	0.183295i	−0.588130	−	0.808767i	$-0.700136\pi$
$11$	−2.36769	+	0.607920i	−0.713886	+	0.183295i	−0.125756	+	0.992061i	$0.540136\pi$
$12$	0.770513	−	0.637424i	0.222428	−	0.184008i
$13$	−0.543127	−	1.37178i	−0.150636	−	0.380464i	0.834790	−	0.550569i	$-0.185589\pi$
$13$	−0.543127	−	1.37178i	−0.150636	−	0.380464i	−0.985426	+	0.170105i	$0.945589\pi$
$14$	1.33124	+	0.527076i	0.355789	+	0.140867i
$15$	2.21503	+	0.305983i	0.571919	+	0.0790046i
$16$	0.535827	−	0.844328i	0.133957	−	0.211082i
$17$	1.63701	−	2.97771i	0.397034	−	0.722201i	−0.599932	−	0.800051i	$-0.704806\pi$
$17$	1.63701	−	2.97771i	0.397034	−	0.722201i	0.996965	+	0.0778500i	$0.0248055\pi$
$18$	−0.587785	−	0.809017i	−0.138542	−	0.190687i
$19$	−0.852237	+	4.46758i	−0.195516	+	1.02493i	0.740255	+	0.672326i	$0.234705\pi$
$19$	−0.852237	+	4.46758i	−0.195516	+	1.02493i	−0.935771	+	0.352607i	$0.885295\pi$
$20$	2.20118	−	0.393476i	0.492198	−	0.0879838i
$21$	0.609625	−	1.29552i	0.133031	−	0.282706i
$22$	1.17764	+	2.14212i	0.251074	+	0.456702i
$23$	8.17320	+	0.514214i	1.70423	+	0.107221i	0.884804	−	0.465964i	$-0.154292\pi$
$23$	8.17320	+	0.514214i	1.70423	+	0.107221i	0.819426	+	0.573185i	$0.194292\pi$
$24$	−0.809017	−	0.587785i	−0.165140	−	0.119981i
$25$	3.97578	+	3.03203i	0.795155	+	0.606406i
$26$	−1.19362	+	0.867213i	−0.234087	+	0.170074i
$27$	−0.844328	+	0.535827i	−0.162491	+	0.103120i
$28$	0.179451	−	1.42050i	0.0339130	−	0.268449i
$29$	−0.0523394	−	0.00661200i	−0.00971917	−	0.00122782i	0.120472	−	0.992717i	$-0.461559\pi$
$29$	−0.0523394	−	0.00661200i	−0.00971917	−	0.00122782i	−0.130191	+	0.991489i	$0.541559\pi$
$30$	−0.254486	−	2.22154i	−0.0464626	−	0.405596i
$31$	4.52175	+	2.48585i	0.812130	+	0.446472i	0.832975	−	0.553311i	$-0.186636\pi$
$31$	4.52175	+	2.48585i	0.812130	+	0.446472i	−0.0208453	+	0.999783i	$0.506636\pi$
$32$	−0.951057	−	0.309017i	−0.168125	−	0.0546270i
$33$	2.21184	−	1.04081i	0.385032	−	0.181182i
$34$	−3.29127	−	0.845055i	−0.564448	−	0.144926i
$35$	2.61180	−	1.85165i	0.441474	−	0.312986i
$36$	−0.637424	+	0.770513i	−0.106237	+	0.128419i
$37$	2.70969	+	1.71962i	0.445470	+	0.282704i	0.739581	−	0.673067i	$-0.235024\pi$
$37$	2.70969	+	1.71962i	0.445470	+	0.282704i	−0.294111	+	0.955771i	$0.595024\pi$
$38$	4.53917	−	0.285580i	0.736350	−	0.0463272i
$39$	0.790554	+	1.24571i	0.126590	+	0.199474i
$40$	−0.928524	−	2.03417i	−0.146813	−	0.321630i
$41$	−0.552473	−	8.78131i	−0.0862818	−	1.37141i	−0.768307	−	0.640081i	$-0.778901\pi$
$41$	−0.552473	−	8.78131i	−0.0862818	−	1.37141i	0.682025	−	0.731329i	$-0.261099\pi$
$42$	−1.40643	−	0.268290i	−0.217016	−	0.0413981i
$43$	2.16888	−	0.704712i	0.330751	−	0.107468i	−0.138934	−	0.990302i	$-0.544368\pi$
$43$	2.16888	−	0.704712i	0.330751	−	0.107468i	0.469685	+	0.882834i	$0.344368\pi$
$44$	1.78196	−	1.67337i	0.268640	−	0.252270i
$45$	−2.23313	+	0.114492i	−0.332896	+	0.0170675i
$46$	−1.53453	−	8.04430i	−0.226255	−	1.18607i
$47$	5.05523	−	5.38327i	0.737381	−	0.785231i	−0.245515	−	0.969393i	$-0.578957\pi$
$47$	5.05523	−	5.38327i	0.737381	−	0.785231i	0.982896	+	0.184162i	$0.0589571\pi$
$48$	−0.368125	+	0.929776i	−0.0531342	+	0.134202i
$49$	1.52963	+	4.70772i	0.218518	+	0.672531i
$50$	1.94804	−	4.60491i	0.275494	−	0.651232i
$51$	−1.05005	+	3.23171i	−0.147036	+	0.452531i
$52$	1.13681	+	0.940449i	0.157647	+	0.130417i
$53$	1.52527	+	0.717739i	0.209512	+	0.0985890i	0.527672	−	0.849448i	$-0.323065\pi$
$53$	1.52527	+	0.717739i	0.209512	+	0.0985890i	−0.318160	+	0.948037i	$0.603065\pi$
$54$	0.728969	+	0.684547i	0.0992001	+	0.0931551i
$55$	5.45091	+	0.406510i	0.735000	+	0.0548138i
$56$	−1.42050	+	0.179451i	−0.189822	+	0.0239801i
$57$		−	4.54814i		−	0.602416i
$58$	0.00661200	+	0.0523394i	0.000868198	+	0.00687249i
$59$	1.32538	+	1.60211i	0.172550	+	0.208577i	0.849698	−	0.527270i	$-0.176784\pi$
$59$	1.32538	+	1.60211i	0.172550	+	0.208577i	−0.677148	+	0.735847i	$0.736784\pi$
$60$	−2.08846	+	0.798965i	−0.269619	+	0.103146i
$61$	0.190270	−	3.02425i	0.0243615	−	0.387216i	−0.966887	−	0.255206i	$-0.917857\pi$
$61$	0.190270	−	3.02425i	0.0243615	−	0.387216i	0.991248	−	0.132010i	$-0.0421431\pi$
$62$	1.28324	−	4.99789i	0.162972	−	0.634733i
$63$	−0.356071	+	1.38681i	−0.0448607	+	0.174721i
$64$	−0.0627905	+	0.998027i	−0.00784881	+	0.124753i
$65$	0.168921	+	3.29475i	0.0209521	+	0.408663i
$66$	−1.55818	−	1.88351i	−0.191798	−	0.231844i
$67$	−0.799125	−	6.32573i	−0.0976287	−	0.772810i	−0.962588	−	0.270969i	$-0.912656\pi$
$67$	−0.799125	−	6.32573i	−0.0976287	−	0.772810i	0.864960	−	0.501842i	$-0.167344\pi$
$68$			3.39803i			0.412071i
$69$	−8.12478	+	1.02640i	−0.978109	+	0.123564i
$70$	−2.44300	−	2.06925i	−0.291995	−	0.247323i
$71$	0.276730	+	0.259867i	0.0328418	+	0.0308405i	0.700794	−	0.713363i	$-0.252829\pi$
$71$	0.276730	+	0.259867i	0.0328418	+	0.0308405i	−0.667952	+	0.744204i	$0.732829\pi$
$72$	0.904827	+	0.425779i	0.106635	+	0.0501786i
$73$	8.85396	+	7.32464i	1.03628	+	0.857284i	0.989918	−	0.141641i	$-0.0452379\pi$
$73$	8.85396	+	7.32464i	1.03628	+	0.857284i	0.0463600	+	0.998925i	$0.485238\pi$
$74$	0.991724	−	3.05221i	0.115286	−	0.354813i
$75$	−4.47350	−	2.23334i	−0.516555	−	0.257883i
$76$	−1.40545	−	4.32554i	−0.161216	−	0.496173i
$77$	1.28843	−	3.25421i	0.146830	−	0.370851i
$78$	1.00997	−	1.07551i	0.114357	−	0.121778i
$79$	2.80322	+	14.6950i	0.315387	+	1.65332i	0.688281	+	0.725444i	$0.258366\pi$
$79$	2.80322	+	14.6950i	0.315387	+	1.65332i	−0.372894	+	0.927874i	$0.621634\pi$
$80$	−1.73935	+	1.40523i	−0.194465	+	0.157109i
$81$	0.728969	−	0.684547i	0.0809965	−	0.0760608i
$82$	−8.36803	+	2.71894i	−0.924095	+	0.300257i
$83$	3.61447	+	0.689497i	0.396739	+	0.0756821i	0.381890	−	0.924208i	$-0.375273\pi$
$83$	3.61447	+	0.689497i	0.396739	+	0.0756821i	0.0148491	+	0.999890i	$0.495273\pi$
$84$	0.0899027	+	1.42896i	0.00980919	+	0.155913i
$85$	−5.59886	+	5.13670i	−0.607281	+	0.557153i
$86$	−1.22195	−	1.92549i	−0.131766	−	0.207631i
$87$	0.0526513	−	0.00331254i	0.00564481	−	0.000355141i
$88$	−2.06395	−	1.30982i	−0.220018	−	0.139628i
$89$	−4.55307	+	5.50371i	−0.482624	+	0.583393i	−0.954477	−	0.298285i	$-0.903585\pi$
$89$	−4.55307	+	5.50371i	−0.482624	+	0.583393i	0.471853	+	0.881677i	$0.343585\pi$
$90$	0.666253	+	2.13450i	0.0702293	+	0.224996i
$91$	2.04608	+	0.525344i	0.214487	+	0.0550710i
$92$	−7.40995	+	3.48686i	−0.772541	+	0.363530i
$93$	−4.90746	−	1.59453i	−0.508880	−	0.165345i
$94$	−6.47133	−	3.55764i	−0.667467	−	0.366943i
$95$	5.00252	−	8.85453i	0.513248	−	0.908456i
$96$	0.992115	+	0.125333i	0.101257	+	0.0127918i
$97$	1.52758	−	12.0921i	0.155103	−	1.22776i	−0.701833	−	0.712341i	$-0.747635\pi$
$97$	1.52758	−	12.0921i	0.155103	−	1.22776i	0.856936	−	0.515423i	$-0.172365\pi$
$98$	4.17941	−	2.65233i	0.422184	−	0.267926i
$99$	−1.97763	+	1.43683i	−0.198760	+	0.144407i
$100$	−4.94469	−	0.741641i	−0.494469	−	0.0741641i
$101$	4.36959	+	3.17469i	0.434791	+	0.315894i	0.783562	−	0.621314i	$-0.213401\pi$
$101$	4.36959	+	3.17469i	0.434791	+	0.315894i	−0.348771	+	0.937208i	$0.613401\pi$
$102$	3.39132	+	0.213364i	0.335791	+	0.0211262i
$103$	−4.98640	−	9.07023i	−0.491325	−	0.893716i	−0.999473	−	0.0324470i	$-0.989670\pi$
$103$	−4.98640	−	9.07023i	−0.491325	−	0.893716i	0.508149	−	0.861269i	$-0.330330\pi$
$104$	0.628191	−	1.33497i	0.0615992	−	0.130905i
$105$	−2.21857	+	2.30825i	−0.216510	+	0.225262i
$106$	0.315870	−	1.65585i	0.0306800	−	0.160830i
$107$	5.04304	+	6.94115i	0.487529	+	0.671026i	0.979930	−	0.199342i	$-0.0638805\pi$
$107$	5.04304	+	6.94115i	0.487529	+	0.671026i	−0.492401	+	0.870369i	$0.663881\pi$
$108$	0.481754	−	0.876307i	0.0463568	−	0.0843226i
$109$	−10.3715	+	16.3429i	−0.993411	+	1.56536i	−0.180007	+	0.983665i	$0.557612\pi$
$109$	−10.3715	+	16.3429i	−0.993411	+	1.56536i	−0.813404	+	0.581699i	$0.802388\pi$
$110$	−0.961847	−	5.38075i	−0.0917085	−	0.513034i
$111$	−2.98392	−	1.18142i	−0.283221	−	0.112135i
$112$	0.527076	+	1.33124i	0.0498040	+	0.125791i
$113$	1.75087	−	1.44845i	0.164708	−	0.136259i	−0.551418	−	0.834229i	$-0.685913\pi$
$113$	1.75087	−	1.44845i	0.164708	−	0.136259i	0.716127	+	0.697970i	$0.245913\pi$
$114$	−4.40525	+	1.13108i	−0.412590	+	0.105935i
$115$	−16.9466	−	6.93824i	−1.58028	−	0.646995i
$116$	0.0490507	−	0.0194205i	0.00455424	−	0.00180315i
$117$	−1.00997	−	1.07551i	−0.0933721	−	0.0994312i
$118$	1.22217	−	1.68217i	0.112509	−	0.154856i
$119$	2.07152	+	4.40221i	0.189896	+	0.403550i
$120$	1.29324	+	1.82415i	0.118056	+	0.166521i
$121$	−4.40298	+	2.42056i	−0.400271	+	0.220051i
$122$	−2.97656	+	0.567809i	−0.269485	+	0.0514070i
$123$	2.18814	+	8.52225i	0.197298	+	0.768425i
$124$	−5.16000			−0.463382
$125$	−6.25276	−	9.26839i	−0.559264	−	0.828990i
$126$	1.43179			0.127554
$127$	2.91996	+	11.3725i	0.259105	+	1.00915i	0.956329	+	0.292293i	$0.0944183\pi$
$127$	2.91996	+	11.3725i	0.259105	+	1.00915i	−0.697224	+	0.716853i	$0.745582\pi$
$128$	0.982287	−	0.187381i	0.0868227	−	0.0165623i
$129$	−1.99841	+	1.09864i	−0.175951	+	0.0967296i
$130$	3.14923	−	0.982984i	0.276205	−	0.0862134i
$131$	1.25276	+	2.66226i	0.109455	+	0.232603i	0.952049	−	0.305946i	$-0.0989727\pi$
$131$	1.25276	+	2.66226i	0.109455	+	0.232603i	−0.842594	+	0.538549i	$0.818973\pi$
$132$	−1.43683	+	1.97763i	−0.125060	+	0.172131i
$133$	−4.45775	−	4.74702i	−0.386536	−	0.411619i
$134$	−5.92826	+	2.34716i	−0.512123	+	0.202764i
$135$	2.17213	−	0.530912i	0.186947	−	0.0456936i
$136$	3.29127	−	0.845055i	0.282224	−	0.0724628i
$137$	7.73804	−	6.40146i	0.661105	−	0.546914i	−0.245234	−	0.969464i	$-0.578865\pi$
$137$	7.73804	−	6.40146i	0.661105	−	0.546914i	0.906340	+	0.422550i	$0.138865\pi$
$138$	3.01470	+	7.61427i	0.256629	+	0.648170i
$139$	6.14358	+	2.43241i	0.521091	+	0.206315i	0.613921	−	0.789367i	$-0.289591\pi$
$139$	6.14358	+	2.43241i	0.521091	+	0.206315i	−0.0928298	+	0.995682i	$0.529591\pi$
$140$	−1.39670	+	2.88085i	−0.118042	+	0.243477i
$141$	−3.95696	+	6.23517i	−0.333236	+	0.525096i
$142$	0.182883	−	0.332662i	0.0153472	−	0.0279164i
$143$	2.11989	+	2.91778i	0.177274	+	0.243997i
$144$	0.187381	−	0.982287i	0.0156151	−	0.0818573i
$145$	0.106147	+	0.0514623i	0.00881506	+	0.00427372i
$146$	4.89263	−	10.3974i	0.404917	−	0.860492i
$147$	−2.38467	−	4.33770i	−0.196685	−	0.357768i
$148$	−3.20295	−	0.201513i	−0.263281	−	0.0165643i
$149$	−8.35330	−	6.06903i	−0.684329	−	0.497194i	0.190462	−	0.981695i	$-0.439001\pi$
$149$	−8.35330	−	6.06903i	−0.684329	−	0.497194i	−0.874791	+	0.484501i	$0.839001\pi$
$150$	−1.05066	+	4.88837i	−0.0857858	+	0.399133i
$151$	4.41314	−	3.20633i	0.359136	−	0.260928i	−0.393556	−	0.919301i	$-0.628755\pi$
$151$	4.41314	−	3.20633i	0.359136	−	0.260928i	0.752692	+	0.658373i	$0.228755\pi$
$152$	−3.84012	+	2.43702i	−0.311475	+	0.197668i
$153$	0.425886	−	3.37123i	0.0344308	−	0.272548i
$154$	−3.47239	−	0.438665i	−0.279813	−	0.0353486i
$155$	−7.80023	−	8.50204i	−0.626530	−	0.682900i
$156$	−1.29289	−	0.710775i	−0.103514	−	0.0569075i
$157$	13.0029	+	4.22489i	1.03774	+	0.337183i	0.777847	−	0.628454i	$-0.216312\pi$
$157$	13.0029	+	4.22489i	1.03774	+	0.337183i	0.259895	+	0.965637i	$0.416312\pi$
$158$	13.5362	−	6.36966i	1.07688	−	0.506743i
$159$	−1.63275	−	0.419218i	−0.129485	−	0.0332462i
$160$	1.79364	+	1.33524i	0.141800	+	0.105560i
$161$	−7.47406	+	9.03459i	−0.589039	+	0.712026i
$162$	−0.844328	−	0.535827i	−0.0663367	−	0.0420985i
$163$	3.90392	−	0.245614i	0.305779	−	0.0192380i	0.0908400	−	0.995866i	$-0.471045\pi$
$163$	3.90392	−	0.245614i	0.305779	−	0.0192380i	0.214939	+	0.976628i	$0.431045\pi$
$164$	4.71456	+	7.42896i	0.368146	+	0.580105i
$165$	−5.43053	+	0.622088i	−0.422766	+	0.0484295i
$166$	−0.231047	−	3.67238i	−0.0179327	−	0.285032i
$167$	−8.44545	−	1.61106i	−0.653528	−	0.124667i	−0.150055	−	0.988678i	$-0.547945\pi$
$167$	−8.44545	−	1.61106i	−0.653528	−	0.124667i	−0.503474	+	0.864010i	$0.667945\pi$
$168$	1.36171	−	0.442447i	0.105058	−	0.0341355i
$169$	7.88979	−	7.40901i	0.606907	−	0.569924i
$170$	6.36770	+	4.14551i	0.488380	+	0.317946i
$171$	0.852237	+	4.46758i	0.0651722	+	0.341644i
$172$	−1.56111	+	1.66241i	−0.119033	+	0.126758i
$173$	−4.93278	+	12.4588i	−0.375032	+	0.947223i	0.612594	+	0.790397i	$0.290126\pi$
$173$	−4.93278	+	12.4588i	−0.375032	+	0.947223i	−0.987626	+	0.156825i	$0.949874\pi$
$174$	−0.0163023	−	0.0501733i	−0.00123587	−	0.00380363i
$175$	−6.85807	+	2.05360i	−0.518421	+	0.155237i
$176$	−0.755389	+	2.32485i	−0.0569396	+	0.175242i
$177$	−1.60211	−	1.32538i	−0.120422	−	0.0996215i
$178$	6.46311	+	3.04131i	0.484430	+	0.227956i
$179$	16.0667	+	15.0876i	1.20088	+	1.12770i	0.988612	+	0.150488i	$0.0480843\pi$
$179$	16.0667	+	15.0876i	1.20088	+	1.12770i	0.212266	+	0.977212i	$0.431916\pi$
$180$	1.90175	−	1.17615i	0.141748	−	0.0876651i
$181$	−24.0579	+	3.03922i	−1.78821	+	0.225904i	−0.948422	−	0.317010i	$-0.897321\pi$
$181$	−24.0579	+	3.03922i	−1.78821	+	0.225904i	−0.839788	+	0.542914i	$0.817321\pi$
$182$		−	2.11245i		−	0.156585i
$183$	0.379789	+	3.00634i	0.0280748	+	0.222235i
$184$	5.22009	+	6.31001i	0.384830	+	0.465180i
$185$	−4.50979	−	5.58207i	−0.331566	−	0.410402i
$186$	−0.323999	+	5.14982i	−0.0237568	+	0.377603i
$187$	−2.06573	+	8.04547i	−0.151061	+	0.588343i
$188$	−1.83652	+	7.15277i	−0.133942	+	0.521670i
$189$	0.0899027	−	1.42896i	0.00653946	−	0.103942i
$190$	−9.82042	−	2.64332i	−0.712448	−	0.191767i
$191$	−10.2074	−	12.3386i	−0.738579	−	0.892789i	0.258741	−	0.965947i	$-0.416692\pi$
$191$	−10.2074	−	12.3386i	−0.738579	−	0.892789i	−0.997320	+	0.0731581i	$0.976692\pi$
$192$	−0.125333	−	0.992115i	−0.00904515	−	0.0715997i
$193$		−	6.02182i		−	0.433460i	−0.976232	−	0.216730i	$-0.930461\pi$
$193$		−	6.02182i		−	0.433460i	0.976232	−	0.216730i	$-0.0695392\pi$
$194$	−12.0921	+	1.52758i	−0.868161	+	0.109674i
$195$	−0.783303	−	3.20473i	−0.0560935	−	0.229496i
$196$	−3.60838	−	3.38850i	−0.257742	−	0.242036i
$197$	−6.76677	−	3.18420i	−0.482113	−	0.226865i	0.169335	−	0.985559i	$-0.445838\pi$
$197$	−6.76677	−	3.18420i	−0.482113	−	0.226865i	−0.651448	+	0.758694i	$0.725838\pi$
$198$	1.88351	+	1.55818i	0.133855	+	0.110735i
$199$	−4.15481	+	12.7872i	−0.294526	+	0.906459i	0.688854	+	0.724900i	$0.258114\pi$
$199$	−4.15481	+	12.7872i	−0.294526	+	0.906459i	−0.983380	+	0.181559i	$0.941886\pi$
$200$	0.511354	+	4.97378i	0.0361582	+	0.351700i
$201$	1.97029	+	6.06394i	0.138974	+	0.427717i
$202$	1.98828	−	5.02183i	0.139895	−	0.353335i
$203$	0.0517069	−	0.0550622i	0.00362911	−	0.00386461i
$204$	−0.636726	−	3.33784i	−0.0445798	−	0.233695i
$205$	−5.11368	+	18.9982i	−0.357155	+	1.32690i
$206$	−7.54520	+	7.08542i	−0.525699	+	0.493665i
$207$	7.78854	−	2.53065i	0.541341	−	0.175892i
$208$	−1.44926	−	0.276461i	−0.100488	−	0.0191691i
$209$	−0.698097	−	11.0959i	−0.0482884	−	0.767522i
$210$	2.78747	+	1.57483i	0.192354	+	0.108674i
$211$	4.78481	+	7.53965i	0.329400	+	0.519051i	0.968153	−	0.250361i	$-0.0805493\pi$
$211$	4.78481	+	7.53965i	0.329400	+	0.519051i	−0.638753	+	0.769412i	$0.720549\pi$
$212$	−1.68238	+	0.105846i	−0.115546	+	0.00726956i
$213$	−0.320523	−	0.203410i	−0.0219619	−	0.0139374i
$214$	5.46893	−	6.61080i	0.373848	−	0.451905i
$215$	−5.09900	−	0.0591864i	−0.347749	−	0.00403648i
$216$	−0.968583	−	0.248690i	−0.0659037	−	0.0169212i
$217$	−6.68489	+	3.14567i	−0.453800	+	0.213542i
$218$	18.4087	+	5.98136i	1.24680	+	0.405109i
$219$	−10.0696	−	5.53583i	−0.680443	−	0.374077i
$220$	−4.97250	+	2.26977i	−0.335246	+	0.153028i
$221$	−4.97388	−	0.628347i	−0.334579	−	0.0422672i
$222$	−0.402230	+	3.18398i	−0.0269959	+	0.213695i
$223$	−8.74784	+	5.55155i	−0.585799	+	0.371759i	−0.795452	−	0.606017i	$-0.792767\pi$
$223$	−8.74784	+	5.55155i	−0.585799	+	0.371759i	0.209653	+	0.977776i	$0.432767\pi$
$224$	1.15834	−	0.841583i	0.0773949	−	0.0562307i
$225$	4.81275	+	1.35553i	0.320850	+	0.0903685i
$226$	−1.83837	−	1.33565i	−0.122286	−	0.0888463i
$227$	25.0109	+	1.57355i	1.66003	+	0.104440i	0.864882	−	0.501975i	$-0.167393\pi$
$227$	25.0109	+	1.57355i	1.66003	+	0.104440i	0.795148	+	0.606416i	$0.207393\pi$
$228$	2.19108	+	3.98557i	0.145108	+	0.263951i
$229$	10.6422	−	22.6158i	0.703254	−	1.49449i	−0.158604	−	0.987342i	$-0.550699\pi$
$229$	10.6422	−	22.6158i	0.703254	−	1.49449i	0.861858	−	0.507149i	$-0.169301\pi$
$230$	−2.50581	+	18.1397i	−0.165228	+	1.19610i
$231$	−0.655832	+	3.43799i	−0.0431506	+	0.226203i
$232$	−0.0310088	−	0.0426800i	−0.00203583	−	0.00280208i
$233$	−7.62856	+	13.8763i	−0.499763	+	0.909066i	0.499327	+	0.866414i	$0.333581\pi$
$233$	−7.62856	+	13.8763i	−0.499763	+	0.909066i	−0.999090	+	0.0426522i	$0.986419\pi$
$234$	−0.790554	+	1.24571i	−0.0516801	+	0.0814348i
$235$	−14.5617	+	7.78665i	−0.949900	+	0.507945i
$236$	−1.93326	−	0.765431i	−0.125844	−	0.0498253i
$237$	−5.50714	−	13.9095i	−0.357727	−	0.903516i
$238$	3.74874	−	3.10123i	0.242995	−	0.201023i
$239$	12.4049	−	3.18504i	0.802407	−	0.206023i	0.174851	−	0.984595i	$-0.444055\pi$
$239$	12.4049	−	3.18504i	0.802407	−	0.206023i	0.627556	+	0.778572i	$0.284055\pi$
$240$	1.44522	−	1.70626i	0.0932889	−	0.110139i
$241$	14.8962	−	5.89781i	0.959546	−	0.379911i	0.164444	−	0.986386i	$-0.447417\pi$
$241$	14.8962	−	5.89781i	0.959546	−	0.379911i	0.795102	+	0.606475i	$0.207417\pi$
$242$	3.43949	+	3.66268i	0.221099	+	0.235446i
$243$	−0.587785	+	0.809017i	−0.0377064	+	0.0518985i
$244$	1.29021	+	2.74183i	0.0825972	+	0.175528i
$245$	0.128469	−	11.0678i	0.00820755	−	0.707093i
$246$	7.71033	−	4.23879i	0.491593	−	0.270256i
$247$	6.59142	−	1.25738i	0.419402	−	0.0800053i
$248$	1.28324	+	4.99789i	0.0814859	+	0.317367i
$249$	−3.67964			−0.233188
$250$	−7.42220	+	8.36127i	−0.469421	+	0.528813i
$251$	22.2239			1.40276			0.701381	−	0.712786i	$-0.252567\pi$
$251$	22.2239			1.40276			0.701381	+	0.712786i	$0.252567\pi$
$252$	−0.356071	−	1.38681i	−0.0224304	−	0.0873605i
$253$	−19.6642	+	3.75115i	−1.23628	+	0.235833i
$254$	10.2891	−	5.65645i	0.645593	−	0.354917i
$255$	4.53717	−	6.09484i	0.284128	−	0.381673i
$256$	−0.425779	−	0.904827i	−0.0266112	−	0.0565517i
$257$	−0.290342	+	0.399622i	−0.0181110	+	0.0249277i	−0.817977	−	0.575252i	$-0.804904\pi$
$257$	−0.290342	+	0.399622i	−0.0181110	+	0.0249277i	0.799865	+	0.600179i	$0.204904\pi$
$258$	1.56111	+	1.66241i	0.0971903	+	0.103497i
$259$	−4.27234	+	1.69154i	−0.265470	+	0.105107i
$260$	−1.73528	−	2.80583i	−0.107618	−	0.174010i
$261$	−0.0510979	+	0.0131197i	−0.00316288	+	0.000812090i
$262$	2.26707	−	1.87548i	0.140060	−	0.115868i
$263$	7.23903	+	18.2837i	0.446378	+	1.12742i	0.962590	+	0.270961i	$0.0873414\pi$
$263$	7.23903	+	18.2837i	0.446378	+	1.12742i	−0.516213	+	0.856460i	$0.672659\pi$
$264$	2.27283	+	0.899876i	0.139883	+	0.0553836i
$265$	−2.71761	−	2.61202i	−0.166941	−	0.160455i
$266$	−3.48929	+	5.49824i	−0.213942	+	0.337119i
$267$	3.44113	−	6.25939i	0.210594	−	0.383068i
$268$	3.74772	+	5.15829i	0.228928	+	0.315093i
$269$	−1.35901	+	7.12417i	−0.0828601	+	0.434368i	0.916547	+	0.399928i	$0.130965\pi$
$269$	−1.35901	+	7.12417i	−0.0828601	+	0.434368i	−0.999407	+	0.0344402i	$0.989035\pi$
$270$	−1.05442	−	1.97185i	−0.0641699	−	0.120003i
$271$	11.8823	−	25.2512i	0.721798	−	1.53390i	−0.119206	−	0.992870i	$-0.538035\pi$
$271$	11.8823	−	25.2512i	0.721798	−	1.53390i	0.841004	−	0.541029i	$-0.181965\pi$
$272$	−1.63701	−	2.97771i	−0.0992584	−	0.180550i
$273$	−2.10828	−	0.132642i	−0.127599	−	0.00802783i
$274$	−8.12472	−	5.90296i	−0.490832	−	0.356611i
$275$	−11.2566	−	4.76195i	−0.678801	−	0.287157i
$276$	6.62533	−	4.81358i	0.398798	−	0.289744i
$277$	0.483718	−	0.306977i	0.0290638	−	0.0184445i	−0.521216	−	0.853425i	$-0.674521\pi$
$277$	0.483718	−	0.306977i	0.0290638	−	0.0184445i	0.550279	+	0.834981i	$0.314521\pi$
$278$	0.828150	−	6.55548i	0.0496691	−	0.393172i
$279$	5.11932	+	0.646720i	0.306485	+	0.0387181i
$280$	3.13769	+	0.636376i	0.187513	+	0.0380307i
$281$	−24.0890	−	13.2430i	−1.43703	−	0.790012i	−0.442729	−	0.896655i	$-0.645990\pi$
$281$	−24.0890	−	13.2430i	−1.43703	−	0.790012i	−0.994297	+	0.106643i	$0.965990\pi$
$282$	7.02334	+	2.28202i	0.418234	+	0.135892i
$283$	18.5682	−	8.73752i	1.10376	−	0.519392i	0.214471	−	0.976730i	$-0.431197\pi$
$283$	18.5682	−	8.73752i	1.10376	−	0.519392i	0.889293	+	0.457339i	$0.151197\pi$
$284$	−0.367692	−	0.0944073i	−0.0218185	−	0.00560204i
$285$	−3.25474	+	9.63507i	−0.192794	+	0.570732i
$286$	2.29892	−	2.77891i	0.135938	−	0.164321i
$287$	10.6367	+	6.75025i	0.627864	+	0.398455i
$288$	−0.998027	+	0.0627905i	−0.0588093	+	0.00369997i
$289$	2.92209	+	4.60448i	0.171888	+	0.270852i
$290$	0.0234478	−	0.115611i	0.00137690	−	0.00678889i
$291$	0.765302	+	12.1641i	0.0448628	+	0.713074i
$292$	−11.2875	−	2.15320i	−0.660548	−	0.126006i
$293$	−12.6140	+	4.09852i	−0.736915	+	0.239438i	−0.653342	−	0.757063i	$-0.726633\pi$
$293$	−12.6140	+	4.09852i	−0.736915	+	0.239438i	−0.0835739	+	0.996502i	$0.526633\pi$
$294$	−3.60838	+	3.38850i	−0.210445	+	0.197621i
$295$	−1.66127	−	4.34247i	−0.0967227	−	0.252829i
$296$	0.601361	+	3.15244i	0.0349534	+	0.183232i
$297$	1.67337	−	1.78196i	0.0970987	−	0.103400i
$298$	−3.80098	+	9.60017i	−0.220185	+	0.556123i
$299$	−3.73370	−	11.4911i	−0.215925	−	0.664550i
$300$	4.99608	−	0.198038i	0.288449	−	0.0114337i
$301$	−1.00900	+	3.10538i	−0.0581577	+	0.178991i
$302$	−4.20310	−	3.47711i	−0.241861	−	0.200085i
$303$	−4.88707	−	2.29968i	−0.280755	−	0.132113i
$304$	3.31545	+	3.11342i	0.190154	+	0.178567i
$305$	−2.56729	+	6.27061i	−0.147003	+	0.359054i
$306$	−3.37123	+	0.425886i	−0.192720	+	0.0243463i
$307$		−	6.65029i		−	0.379552i	−0.981827	−	0.189776i	$-0.939224\pi$
$307$		−	6.65029i		−	0.379552i	0.981827	−	0.189776i	$-0.0607762\pi$
$308$	0.438665	+	3.47239i	0.0249953	+	0.197858i
$309$	6.59767	+	7.97521i	0.375328	+	0.453694i
$310$	−6.29509	+	9.66954i	−0.357537	+	0.549193i
$311$	0.538395	−	8.55755i	0.0305296	−	0.485254i	−0.952821	−	0.303534i	$-0.901833\pi$
$311$	0.538395	−	8.55755i	0.0305296	−	0.485254i	0.983350	−	0.181720i	$-0.0581665\pi$
$312$	−0.366915	+	1.42904i	−0.0207725	+	0.0809034i
$313$	4.21716	−	16.4247i	0.238368	−	0.928382i	−0.730922	−	0.682461i	$-0.760910\pi$
$313$	4.21716	−	16.4247i	0.238368	−	0.928382i	0.969290	−	0.245921i	$-0.0790903\pi$
$314$	0.858474	−	13.6451i	0.0484465	−	0.770035i
$315$	1.74675	−	2.68309i	0.0984181	−	0.151175i
$316$	−9.53586	−	11.5269i	−0.536434	−	0.648437i
$317$	−2.74431	−	21.7235i	−0.154136	−	1.22011i	−0.859451	−	0.511217i	$-0.829195\pi$
$317$	−2.74431	−	21.7235i	−0.154136	−	1.22011i	0.705316	−	0.708893i	$-0.250805\pi$
$318$			1.68571i			0.0945297i
$319$	0.127943	−	0.0161630i	0.00716343	−	0.000904952i
$320$	0.847227	−	2.06935i	0.0473614	−	0.115680i
$321$	−6.25436	−	5.87323i	−0.349084	−	0.327812i
$322$	10.6095	+	4.99244i	0.591243	+	0.278218i
$323$	11.9080	+	9.85119i	0.662582	+	0.548135i
$324$	−0.309017	+	0.951057i	−0.0171676	+	0.0528365i
$325$	1.99993	−	7.10068i	0.110936	−	0.393875i
$326$	−1.20876	−	3.72019i	−0.0669472	−	0.206042i
$327$	7.12545	−	17.9968i	0.394038	−	0.995227i
$328$	6.02311	−	6.41396i	0.332570	−	0.354151i
$329$	1.98126	+	10.3861i	0.109231	+	0.572607i
$330$	1.95306	+	5.10521i	0.107513	+	0.281033i
$331$	3.02142	−	2.83730i	0.166072	−	0.155952i	−0.597055	−	0.802200i	$-0.703663\pi$
$331$	3.02142	−	2.83730i	0.166072	−	0.155952i	0.763128	+	0.646248i	$0.223663\pi$
$332$	−3.49955	+	1.13707i	−0.192063	+	0.0624050i
$333$	3.15244	+	0.601361i	0.172753	+	0.0329544i
$334$	0.539856	+	8.58077i	0.0295396	+	0.469519i
$335$	−2.83390	+	13.9727i	−0.154832	+	0.763410i
$336$	−0.767190	−	1.20890i	−0.0418536	−	0.0659508i
$337$	23.7132	−	1.49191i	1.29174	−	0.0812693i	0.598000	−	0.801496i	$-0.295962\pi$
$337$	23.7132	−	1.49191i	1.29174	−	0.0812693i	0.693738	+	0.720227i	$0.255962\pi$
$338$	−9.13835	−	5.79937i	−0.497061	−	0.315444i
$339$	−1.44845	+	1.75087i	−0.0786690	+	0.0950944i
$340$	2.43169	−	7.19859i	0.131877	−	0.390399i
$341$	−12.2173	−	3.13687i	−0.661604	−	0.169871i
$342$	4.11528	−	1.93650i	0.222529	−	0.104714i
$343$	−16.2724	−	5.28723i	−0.878628	−	0.285484i
$344$	1.99841	+	1.09864i	0.107747	+	0.0592346i
$345$	17.9466	+	3.63986i	0.966211	+	0.195964i
$346$	13.2941	+	1.67943i	0.714694	+	0.0902869i
$347$	2.50347	−	19.8170i	0.134393	−	1.06383i	−0.770274	−	0.637713i	$-0.779881\pi$
$347$	2.50347	−	19.8170i	0.134393	−	1.06383i	0.904667	−	0.426118i	$-0.140119\pi$
$348$	−0.0445428	+	0.0282677i	−0.00238775	+	0.00151531i
$349$	10.8615	−	7.89132i	0.581401	−	0.422412i	−0.257828	−	0.966191i	$-0.583007\pi$
$349$	10.8615	−	7.89132i	0.581401	−	0.422412i	0.839229	+	0.543778i	$0.183007\pi$
$350$	3.69461	+	6.13190i	0.197485	+	0.327764i
$351$	1.19362	+	0.867213i	0.0637105	+	0.0462884i
$352$	2.43967	+	0.153491i	0.130035	+	0.00818108i
$353$	−5.27403	−	9.59342i	−0.280708	−	0.510606i	0.697938	−	0.716158i	$-0.254101\pi$
$353$	−5.27403	−	9.59342i	−0.280708	−	0.510606i	−0.978646	+	0.205552i	$0.934101\pi$
$354$	−0.885311	+	1.88138i	−0.0470538	+	0.0999943i
$355$	−0.400277	−	0.748552i	−0.0212445	−	0.0397290i
$356$	1.33845	−	7.01640i	0.0709377	−	0.371868i
$357$	−2.85972	−	3.93607i	−0.151353	−	0.208319i
$358$	10.6180	−	19.3140i	0.561177	−	1.02078i
$359$	−6.37913	+	10.0519i	−0.336678	+	0.530519i	−0.969917	−	0.243437i	$-0.921725\pi$
$359$	−6.37913	+	10.0519i	−0.336678	+	0.530519i	0.633239	+	0.773956i	$0.281725\pi$
$360$	−1.61215	−	1.54951i	−0.0849676	−	0.0816663i
$361$	−1.56721	−	0.620503i	−0.0824849	−	0.0326581i
$362$	8.92670	+	22.5463i	0.469177	+	1.18501i
$363$	3.87142	−	3.20272i	0.203197	−	0.168099i
$364$	−2.04608	+	0.525344i	−0.107244	+	0.0275355i
$365$	−13.5151	−	21.8530i	−0.707415	−	1.14384i
$366$	2.81744	−	1.11550i	0.147270	−	0.0583082i
$367$	−9.18802	−	9.78424i	−0.479611	−	0.510733i	0.442971	−	0.896536i	$-0.353925\pi$
$367$	−9.18802	−	9.78424i	−0.479611	−	0.510733i	−0.922581	+	0.385803i	$0.873925\pi$
$368$	4.81358	−	6.62533i	0.250925	−	0.345369i
$369$	−3.74629	−	7.96128i	−0.195024	−	0.414447i
$370$	−4.28516	+	5.75631i	−0.222775	+	0.299256i
$371$	−2.11503	+	1.16275i	−0.109807	+	0.0603668i
$372$	5.06861	−	0.966888i	0.262795	−	0.0501308i
$373$	−1.93172	−	7.52354i	−0.100020	−	0.389554i	0.898787	−	0.438387i	$-0.144450\pi$
$373$	−1.93172	−	7.52354i	−0.100020	−	0.389554i	−0.998807	+	0.0488326i	$0.984450\pi$
$374$	8.30644			0.429516
$375$	7.87873	+	7.93257i	0.406856	+	0.409636i
$376$	7.38478			0.380841
$377$	0.0193567	+	0.0753894i	0.000996921	+	0.00388275i
$378$	−1.40643	+	0.268290i	−0.0723388	+	0.0137994i
$379$	15.7849	−	8.67780i	0.810813	−	0.445748i	−0.0216925	−	0.999765i	$-0.506905\pi$
$379$	15.7849	−	8.67780i	0.810813	−	0.445748i	0.832506	+	0.554016i	$0.186905\pi$
$380$	−0.118039	+	10.1693i	−0.00605529	+	0.521672i
$381$	−4.99924	−	10.6239i	−0.256119	−	0.544280i
$382$	−9.41248	+	12.9552i	−0.481584	+	0.662844i
$383$	1.82714	+	1.94571i	0.0933625	+	0.0994210i	0.773953	−	0.633243i	$-0.218277\pi$
$383$	1.82714	+	1.94571i	0.0933625	+	0.0994210i	−0.680590	+	0.732664i	$0.738277\pi$
$384$	−0.929776	+	0.368125i	−0.0474475	+	0.0187858i
$385$	−5.05827	+	5.97189i	−0.257793	+	0.304356i
$386$	−5.83264	+	1.49757i	−0.296873	+	0.0762241i
$387$	1.75715	−	1.45364i	0.0893211	−	0.0738928i
$388$	4.48677	+	11.3323i	0.227781	+	0.575310i
$389$	−10.4169	−	4.12435i	−0.528159	−	0.209113i	0.0888846	−	0.996042i	$-0.471670\pi$
$389$	−10.4169	−	4.12435i	−0.528159	−	0.209113i	−0.617044	+	0.786929i	$0.711670\pi$
$390$	−2.90925	+	1.55568i	−0.147316	+	0.0787748i
$391$	14.9108	−	23.4957i	0.754072	−	1.18823i
$392$	−2.38467	+	4.33770i	−0.120444	+	0.219087i
$393$	−1.72943	−	2.38036i	−0.0872383	−	0.120073i
$394$	−1.40134	+	7.34606i	−0.0705983	+	0.370089i
$395$	4.57751	−	33.1369i	0.230320	−	1.66730i
$396$	1.04081	−	2.21184i	0.0523028	−	0.111149i
$397$	−2.12991	−	3.87429i	−0.106897	−	0.194445i	0.817448	−	0.576002i	$-0.195388\pi$
$397$	−2.12991	−	3.87429i	−0.106897	−	0.194445i	−0.924345	+	0.381557i	$0.875388\pi$
$398$	13.4187	+	0.844233i	0.672619	+	0.0423176i
$399$	5.26829	+	3.82764i	0.263745	+	0.191622i
$400$	4.69035	−	1.73222i	0.234518	−	0.0866109i
$401$	−31.4067	+	22.8183i	−1.56838	+	1.13949i	−0.639683	+	0.768639i	$0.720934\pi$
$401$	−31.4067	+	22.8183i	−1.56838	+	1.13949i	−0.928692	+	0.370853i	$0.879066\pi$
$402$	5.38344	−	3.41643i	0.268501	−	0.170396i
$403$	0.954165	−	7.55299i	0.0475303	−	0.376241i
$404$	−5.35852	−	0.676939i	−0.266596	−	0.0336790i
$405$	−2.03417	+	0.928524i	−0.101079	+	0.0461387i
$406$	−0.0661913	−	0.0363890i	−0.00328502	−	0.00180596i
$407$	−7.46110	−	2.42426i	−0.369833	−	0.120166i
$408$	−3.07463	+	1.44681i	−0.152217	+	0.0716277i
$409$	32.3201	+	8.29839i	1.59813	+	0.410329i	0.939612	−	0.342241i	$-0.111186\pi$
$409$	32.3201	+	8.29839i	1.59813	+	0.410329i	0.658513	+	0.752570i	$0.271186\pi$
$410$	19.6731	+	0.228355i	0.971585	+	0.0112776i
$411$	−6.40146	+	7.73804i	−0.315761	+	0.381689i
$412$	8.73923	+	5.54609i	0.430551	+	0.273236i
$413$	−2.97120	+	0.186932i	−0.146203	+	0.00919833i
$414$	−4.38808	−	6.91450i	−0.215662	−	0.339829i
$415$	−7.16370	−	4.04726i	−0.351652	−	0.198672i
$416$	0.0926405	+	1.47248i	0.00454208	+	0.0721942i
$417$	−6.49055	−	1.23814i	−0.317843	−	0.0606319i
$418$	−10.5737	+	3.43561i	−0.517178	+	0.168041i
$419$	−5.89390	+	5.53474i	−0.287936	+	0.270390i	−0.815032	−	0.579416i	$-0.803281\pi$
$419$	−5.89390	+	5.53474i	−0.287936	+	0.270390i	0.527096	+	0.849806i	$0.323281\pi$
$420$	0.832138	−	3.09154i	0.0406042	−	0.150852i
$421$	−1.76884	−	9.27256i	−0.0862078	−	0.451917i	−0.999049	−	0.0436023i	$-0.986117\pi$
$421$	−1.76884	−	9.27256i	−0.0862078	−	0.451917i	0.912841	−	0.408315i	$-0.133883\pi$
$422$	6.11284	−	6.50952i	0.297569	−	0.316878i
$423$	2.71852	−	6.86619i	0.132179	−	0.333846i
$424$	0.520912	+	1.60320i	0.0252977	+	0.0778584i
$425$	15.5369	−	6.87526i	0.753650	−	0.333499i
$426$	−0.117309	+	0.361039i	−0.00568362	+	0.0174924i
$427$	3.34298	+	2.76556i	0.161778	+	0.133835i
$428$	−7.76318	−	3.65307i	−0.375247	−	0.176578i
$429$	−2.62908	−	2.46887i	−0.126933	−	0.119198i
$430$	1.21074	+	4.95353i	0.0583872	+	0.238880i
$431$	27.4390	−	3.46635i	1.32169	−	0.166968i	0.567363	−	0.823468i	$-0.307964\pi$
$431$	27.4390	−	3.46635i	1.32169	−	0.166968i	0.754326	+	0.656500i	$0.227964\pi$
$432$			1.00000i			0.0481125i
$433$	−0.336944	−	2.66719i	−0.0161925	−	0.128177i	0.981946	−	0.189160i	$-0.0605764\pi$
$433$	−0.336944	−	2.66719i	−0.0161925	−	0.128177i	−0.998139	+	0.0609831i	$0.980576\pi$
$434$	4.70931	+	5.69257i	0.226054	+	0.273252i
$435$	−0.113910	−	0.0306608i	−0.00546158	−	0.00147007i
$436$	1.21538	−	19.3179i	0.0582061	−	0.925159i
$437$	−9.26279	+	36.0762i	−0.443099	+	1.72576i
$438$	−2.85769	+	11.1300i	−0.136546	+	0.531811i
$439$	−0.241675	+	3.84132i	−0.0115345	+	0.183336i	0.988041	+	0.154193i	$0.0492778\pi$
$439$	−0.241675	+	3.84132i	−0.0115345	+	0.183336i	−0.999575	+	0.0291429i	$0.990722\pi$
$440$	3.43507	+	4.25182i	0.163760	+	0.202697i
$441$	3.15524	+	3.81403i	0.150249	+	0.181620i
$442$	0.628347	+	4.97388i	0.0298874	+	0.236583i
$443$			36.3893i			1.72891i	0.502712	+	0.864454i	$0.332336\pi$
$443$			36.3893i			1.72891i	−0.502712	+	0.864454i	$0.667664\pi$
$444$	3.18398	−	0.402230i	0.151105	−	0.0190890i
$445$	13.5841	−	8.40115i	0.643947	−	0.398253i
$446$	7.55264	+	7.09240i	0.357628	+	0.335835i
$447$	9.34256	+	4.39627i	0.441888	+	0.207937i
$448$	−1.10321	−	0.912656i	−0.0521218	−	0.0431189i
$449$	11.3583	−	34.9572i	0.536031	−	1.64973i	−0.205380	−	0.978682i	$-0.565843\pi$
$449$	11.3583	−	34.9572i	0.536031	−	1.64973i	0.741411	−	0.671051i	$-0.234157\pi$
$450$	0.116059	−	4.99865i	0.00547107	−	0.235639i
$451$	6.64642	+	20.4556i	0.312968	+	0.963215i
$452$	−0.836507	+	2.11278i	−0.0393460	+	0.0993766i
$453$	−3.73416	+	3.97648i	−0.175446	+	0.186831i
$454$	−4.69584	−	24.6164i	−0.220386	−	1.15531i
$455$	−3.95860	−	2.57714i	−0.185582	−	0.120818i
$456$	3.31545	−	3.11342i	0.155260	−	0.145799i
$457$	30.4870	−	9.90583i	1.42612	−	0.463375i	0.508581	−	0.861014i	$-0.330170\pi$
$457$	30.4870	−	9.90583i	1.42612	−	0.463375i	0.917542	+	0.397639i	$0.130170\pi$
$458$	−24.5518	−	4.68352i	−1.14723	−	0.218846i
$459$	0.213364	+	3.39132i	0.00995897	+	0.158293i
$460$	18.1930	−	2.08408i	0.848252	−	0.0971706i
$461$	14.5041	+	22.8548i	0.675523	+	1.06445i	0.993219	+	0.116261i	$0.0370910\pi$
$461$	14.5041	+	22.8548i	0.675523	+	1.06445i	−0.317696	+	0.948193i	$0.602909\pi$
$462$	3.49308	−	0.219766i	0.162513	−	0.0102244i
$463$	−2.16607	−	1.37463i	−0.100666	−	0.0638846i	0.484541	−	0.874769i	$-0.338987\pi$
$463$	−2.16607	−	1.37463i	−0.100666	−	0.0638846i	−0.585207	+	0.810884i	$0.698987\pi$
$464$	−0.0336275	+	0.0406487i	−0.00156112	+	0.00188707i
$465$	9.25519	+	6.88982i	0.429199	+	0.319508i
$466$	15.3375	+	3.93800i	0.710495	+	0.182424i
$467$	−23.4679	+	11.0432i	−1.08597	+	0.511017i	−0.883576	−	0.468288i	$-0.844871\pi$
$467$	−23.4679	+	11.0432i	−1.08597	+	0.511017i	−0.202390	+	0.979305i	$0.564871\pi$
$468$	1.40318	+	0.455921i	0.0648620	+	0.0210749i
$469$	7.99987	+	4.39797i	0.369400	+	0.203079i
$470$	11.1634	+	12.1678i	0.514927	+	0.561256i
$471$	−13.5642	−	1.71356i	−0.625006	−	0.0789567i
$472$	−0.260602	+	2.06288i	−0.0119952	+	0.0949516i
$473$	−4.70683	+	2.98705i	−0.216420	+	0.137345i
$474$	−12.1029	+	8.79327i	−0.555904	+	0.403888i
$475$	−16.9341	+	15.1781i	−0.776991	+	0.696419i
$476$	−3.93607	−	2.85972i	−0.180409	−	0.131075i
$477$	1.68238	+	0.105846i	0.0770309	+	0.00484637i
$478$	−6.16995	−	11.2231i	−0.282207	−	0.513333i
$479$	−1.08884	+	2.31390i	−0.0497502	+	0.105725i	−0.928157	−	0.372190i	$-0.878607\pi$
$479$	−1.08884	+	2.31390i	−0.0497502	+	0.105725i	0.878406	+	0.477914i	$0.158607\pi$
$480$	−2.01207	−	0.975491i	−0.0918379	−	0.0445248i
$481$	0.887241	−	4.65108i	0.0404547	−	0.212071i
$482$	−9.41704	−	12.9614i	−0.428934	−	0.590377i
$483$	5.64876	−	10.2751i	0.257028	−	0.467532i
$484$	2.69225	−	4.24230i	0.122375	−	0.192832i
$485$	−11.8895	+	24.5235i	−0.539873	+	1.11355i
$486$	0.929776	+	0.368125i	0.0421755	+	0.0166985i
$487$	12.4732	+	31.5038i	0.565216	+	1.42757i	0.878421	+	0.477887i	$0.158597\pi$
$487$	12.4732	+	31.5038i	0.565216	+	1.42757i	−0.313206	+	0.949685i	$0.601403\pi$
$488$	2.33483	−	1.93154i	0.105693	−	0.0874368i
$489$	−3.78875	+	0.972785i	−0.171333	+	0.0439909i
$490$	−10.7520	+	2.62801i	−0.485725	+	0.118721i
$491$	−26.4203	+	10.4605i	−1.19233	+	0.472077i	−0.878657	−	0.477454i	$-0.841560\pi$
$491$	−26.4203	+	10.4605i	−1.19233	+	0.472077i	−0.313674	+	0.949531i	$0.601560\pi$
$492$	−6.02311	−	6.41396i	−0.271543	−	0.289163i
$493$	−0.105369	+	0.145028i	−0.00474557	+	0.00653172i
$494$	−2.85710	−	6.07164i	−0.128547	−	0.273176i
$495$	5.21777	−	1.62865i	0.234521	−	0.0732023i
$496$	4.52175	−	2.48585i	0.203032	−	0.111618i
$497$	−0.533906	+	0.101848i	−0.0239489	+	0.00456851i
$498$	0.915090	+	3.56404i	0.0410062	+	0.159709i
$499$	33.8542			1.51552			0.757762	−	0.652531i	$-0.226293\pi$
$499$	33.8542			1.51552			0.757762	+	0.652531i	$0.226293\pi$
$500$	9.94442	+	5.10966i	0.444728	+	0.228511i
$501$	8.59774			0.384119
$502$	−5.52687	−	21.5257i	−0.246676	−	0.960741i
$503$	−23.6083	+	4.50352i	−1.05264	+	0.200802i	−0.684534	−	0.728981i	$-0.739994\pi$
$503$	−23.6083	+	4.50352i	−1.05264	+	0.200802i	−0.368108	+	0.929783i	$0.619994\pi$
$504$	−1.25468	+	0.689769i	−0.0558881	+	0.0307247i
$505$	−6.98495	−	9.85244i	−0.310826	−	0.438428i
$506$	8.52359	+	18.1135i	0.378920	+	0.805245i
$507$	−6.36173	+	8.75617i	−0.282534	+	0.388875i
$508$	−8.03753	−	8.55910i	−0.356608	−	0.379749i
$509$	−11.1186	+	4.40218i	−0.492825	+	0.195123i	−0.601374	−	0.798968i	$-0.705380\pi$
$509$	−11.1186	+	4.40218i	−0.492825	+	0.195123i	0.108549	+	0.994091i	$0.465380\pi$
$510$	−7.03170	−	2.87890i	−0.311369	−	0.127480i
$511$	−15.9358	+	4.09161i	−0.704957	+	0.181002i
$512$	−0.770513	+	0.637424i	−0.0340522	+	0.0281704i
$513$	−1.67428	−	4.22875i	−0.0739214	−	0.186704i
$514$	0.459272	+	0.181839i	0.0202576	+	0.00802056i
$515$	4.07268	+	22.7833i	0.179464	+	1.00395i
$516$	1.22195	−	1.92549i	0.0537934	−	0.0847648i
$517$	−8.69662	+	15.8191i	−0.382477	+	0.695723i
$518$	2.70088	+	3.71745i	0.118670	+	0.163335i
$519$	2.51086	−	13.1624i	0.110215	−	0.577765i
$520$	−2.28613	+	2.37855i	−0.100254	+	0.104306i
$521$	9.97092	−	21.1893i	0.436834	−	0.928319i	−0.558286	−	0.829648i	$-0.688541\pi$
$521$	9.97092	−	21.1893i	0.436834	−	0.928319i	0.995120	−	0.0986707i	$-0.0314590\pi$
$522$	0.0254151	+	0.0462299i	0.00111239	+	0.00202343i
$523$	−35.6893	−	2.24538i	−1.56058	−	0.0981836i	−0.741143	−	0.671347i	$-0.765716\pi$
$523$	−35.6893	−	2.24538i	−1.56058	−	0.0981836i	−0.819441	+	0.573164i	$0.805716\pi$
$524$	−2.38036	−	1.72943i	−0.103986	−	0.0755506i
$525$	6.35179	−	3.30230i	0.277215	−	0.144124i
$526$	15.9090	−	11.5586i	0.693666	−	0.503978i
$527$	14.8043	−	9.39509i	0.644885	−	0.409257i
$528$	0.306376	−	2.42521i	0.0133333	−	0.105544i
$529$	43.7181	+	5.52288i	1.90079	+	0.240125i
$530$	−1.85412	+	3.28181i	−0.0805376	+	0.142553i
$531$	1.82208	+	1.00170i	0.0790716	+	0.0434700i
$532$	6.19325	+	2.01231i	0.268511	+	0.0872447i
$533$	−11.7460	+	5.52724i	−0.508775	+	0.239411i
$534$	−6.91851	−	1.77637i	−0.299393	−	0.0768711i
$535$	−5.71628	−	18.3135i	−0.247136	−	0.791761i
$536$	4.06422	−	4.91279i	0.175547	−	0.212200i
$537$	−18.6092	−	11.8098i	−0.803046	−	0.509629i
$538$	7.23832	−	0.455396i	0.312066	−	0.0196335i
$539$	−6.48360	−	10.2165i	−0.279269	−	0.440057i
$540$	−1.64768	+	1.51167i	−0.0709049	+	0.0650520i
$541$	0.415476	+	6.60380i	0.0178627	+	0.283920i	0.996810	+	0.0798077i	$0.0254306\pi$
$541$	0.415476	+	6.60380i	0.0178627	+	0.283920i	−0.978948	+	0.204112i	$0.934569\pi$
$542$	−27.4129	−	5.22928i	−1.17748	−	0.224617i
$543$	23.0623	−	7.49339i	0.989698	−	0.321572i
$544$	−2.47705	+	2.32611i	−0.106203	+	0.0997311i
$545$	33.6670	−	27.1998i	1.44213	−	1.16511i
$546$	0.395833	+	2.07503i	0.0169401	+	0.0888030i
$547$	−12.3104	+	13.1092i	−0.526355	+	0.560511i	−0.936120	−	0.351680i	$-0.885611\pi$
$547$	−12.3104	+	13.1092i	−0.526355	+	0.560511i	0.409765	+	0.912191i	$0.365611\pi$
$548$	−3.69697	+	9.33747i	−0.157927	+	0.398877i
$549$	−0.936393	−	2.88192i	−0.0399643	−	0.122997i
$550$	−1.81293	+	12.0872i	−0.0773037	+	0.515402i
$551$	0.0741451	−	0.228195i	0.00315869	−	0.00972145i
$552$	−6.31001	−	5.22009i	−0.268572	−	0.222182i
$553$	−19.3810	−	9.12000i	−0.824163	−	0.387822i
$554$	−0.417628	−	0.392179i	−0.0177433	−	0.0166621i
$555$	5.47588	+	4.63814i	0.232438	+	0.196878i
$556$	−6.55548	+	0.828150i	−0.278014	+	0.0351214i
$557$		−	16.8272i		−	0.712992i	−0.934297	−	0.356496i	$-0.883971\pi$
$557$		−	16.8272i		−	0.712992i	0.934297	−	0.356496i	$-0.116029\pi$
$558$	−0.646720	−	5.11932i	−0.0273778	−	0.216718i
$559$	−2.14469	−	2.59249i	−0.0907108	−	0.109650i
$560$	−0.163929	−	3.19737i	−0.00692725	−	0.135114i
$561$	0.521565	−	8.29005i	0.0220205	−	0.350006i
$562$	−6.83628	+	26.6256i	−0.288371	+	1.12313i
$563$	8.63954	−	33.6488i	0.364113	−	1.41813i	−0.477778	−	0.878481i	$-0.658558\pi$
$563$	8.63954	−	33.6488i	0.364113	−	1.41813i	0.841891	−	0.539647i	$-0.181442\pi$
$564$	0.463694	−	7.37021i	0.0195250	−	0.310342i
$565$	−4.74570	+	1.81553i	−0.199653	+	0.0763798i
$566$	−13.0807	−	15.8119i	−0.549824	−	0.664623i
$567$	0.179451	+	1.42050i	0.00753621	+	0.0596553i
$568$			0.379619i			0.0159284i
$569$	−18.5471	+	2.34304i	−0.777535	+	0.0982255i	−0.504077	−	0.863659i	$-0.668167\pi$
$569$	−18.5471	+	2.34304i	−0.777535	+	0.0982255i	−0.273458	+	0.961884i	$0.588167\pi$
$570$	10.1418	+	0.756340i	0.424793	+	0.0316796i
$571$	−14.4564	−	13.5755i	−0.604983	−	0.568117i	0.320337	−	0.947304i	$-0.396204\pi$
$571$	−14.4564	−	13.5755i	−0.604983	−	0.568117i	−0.925320	+	0.379187i	$0.876204\pi$
$572$	−3.26333	−	1.53561i	−0.136447	−	0.0642069i
$573$	12.3386	+	10.2074i	0.515452	+	0.426419i
$574$	3.89294	−	11.9812i	0.162488	−	0.500088i
$575$	30.9357	+	26.8258i	1.29011	+	1.11871i
$576$	0.309017	+	0.951057i	0.0128757	+	0.0396274i
$577$	−10.0418	+	25.3628i	−0.418047	+	1.05587i	0.556334	+	0.830959i	$0.312208\pi$
$577$	−10.0418	+	25.3628i	−0.418047	+	1.05587i	−0.974380	+	0.224906i	$0.927792\pi$
$578$	3.73312	−	3.97537i	0.155278	−	0.165354i
$579$	1.12838	+	5.91516i	0.0468938	+	0.245826i
$580$	−0.117810	+	0.00604008i	−0.00489179	+	0.000250801i
$581$	−3.84055	+	3.60651i	−0.159333	+	0.149623i
$582$	11.5917	−	3.76636i	0.480489	−	0.156120i
$583$	−4.04770	−	0.772140i	−0.167639	−	0.0319788i
$584$	0.721526	+	11.4683i	0.0298569	+	0.474562i
$585$	1.36994	+	3.00119i	0.0566399	+	0.124084i
$586$	7.10673	+	11.1984i	0.293576	+	0.462602i
$587$	−8.70488	+	0.547665i	−0.359289	+	0.0226045i	−0.241409	−	0.970423i	$-0.577610\pi$
$587$	−8.70488	+	0.547665i	−0.359289	+	0.0226045i	−0.117880	+	0.993028i	$0.537610\pi$
$588$	4.17941	+	2.65233i	0.172356	+	0.109380i
$589$	−14.9593	+	18.0827i	−0.616389	+	0.745086i
$590$	−3.79291	+	2.68900i	−0.156151	+	0.110705i
$591$	7.24357	+	1.85983i	0.297961	+	0.0765033i
$592$	2.90385	−	1.36645i	0.119348	−	0.0561607i
$593$	10.1784	+	3.30717i	0.417978	+	0.135809i	0.510453	−	0.859906i	$-0.329478\pi$
$593$	10.1784	+	3.30717i	0.417978	+	0.135809i	−0.0924747	+	0.995715i	$0.529478\pi$
$594$	−2.14212	−	1.17764i	−0.0878923	−	0.0483192i
$595$	−1.23814	−	10.8083i	−0.0507587	−	0.443099i
$596$	10.2438	+	1.29410i	0.419603	+	0.0530082i
$597$	1.68513	−	13.3392i	0.0689680	−	0.545938i
$598$	−10.2016	+	6.47413i	−0.417174	+	0.264747i
$599$	−31.7796	+	23.0892i	−1.29848	+	0.943399i	−0.999940	−	0.0109987i	$-0.996499\pi$
$599$	−31.7796	+	23.0892i	−1.29848	+	0.943399i	−0.298538	+	0.954398i	$0.596499\pi$
$600$	−1.43429	−	4.78987i	−0.0585546	−	0.195545i
$601$	35.0290	+	25.4500i	1.42886	+	1.03813i	0.990227	+	0.139464i	$0.0445378\pi$
$601$	35.0290	+	25.4500i	1.42886	+	1.03813i	0.438635	+	0.898665i	$0.355462\pi$
$602$	3.25874	+	0.205023i	0.132816	+	0.00835610i
$603$	−3.07166	−	5.58733i	−0.125088	−	0.227534i
$604$	−2.32260	+	4.93578i	−0.0945053	+	0.200834i
$605$	11.0598	−	1.97701i	0.449643	−	0.0803768i
$606$	−1.01207	+	5.30544i	−0.0411124	+	0.215519i
$607$	13.9914	+	19.2575i	0.567893	+	0.781637i	0.992303	−	0.123833i	$-0.0395186\pi$
$607$	13.9914	+	19.2575i	0.567893	+	0.781637i	−0.424410	+	0.905470i	$0.639519\pi$
$608$	2.19108	−	3.98557i	0.0888602	−	0.161636i
$609$	−0.0404734	+	0.0637758i	−0.00164006	+	0.00258433i
$610$	6.71206	+	0.927200i	0.271763	+	0.0375412i
$611$	−10.1303	−	4.01088i	−0.409829	−	0.162263i
$612$	1.25090	+	3.15940i	0.0505645	+	0.127711i
$613$	−2.94382	+	2.43534i	−0.118900	+	0.0983623i	−0.694974	−	0.719035i	$-0.744584\pi$
$613$	−2.94382	+	2.43534i	−0.118900	+	0.0983623i	0.576074	+	0.817398i	$0.304584\pi$
$614$	−6.44136	+	1.65386i	−0.259952	+	0.0667444i
$615$	1.46319	−	19.6199i	0.0590015	−	0.791152i
$616$	3.25421	−	1.28843i	0.131116	−	0.0519124i
$617$	18.5566	+	19.7608i	0.747062	+	0.795541i	0.984411	−	0.175884i	$-0.0562783\pi$
$617$	18.5566	+	19.7608i	0.747062	+	0.795541i	−0.237348	+	0.971425i	$0.576278\pi$
$618$	6.08388	−	8.37375i	0.244730	−	0.336842i
$619$	3.08960	+	6.56574i	0.124182	+	0.263899i	0.957245	−	0.289278i	$-0.0934152\pi$
$619$	3.08960	+	6.56574i	0.124182	+	0.263899i	−0.833064	+	0.553177i	$0.813415\pi$
$620$	10.9313	+	3.69260i	0.439011	+	0.148298i
$621$	−7.17639	+	3.94525i	−0.287979	+	0.158318i
$622$	−8.42259	+	1.60669i	−0.337715	+	0.0644226i
$623$	−2.54339	−	9.90584i	−0.101899	−	0.396869i
$624$	1.47539			0.0590629
$625$	6.61361	+	24.1093i	0.264544	+	0.964373i
$626$	−16.9575			−0.677758
$627$	2.76490	+	10.7686i	0.110420	+	0.430056i
$628$	−13.4299	+	2.56188i	−0.535910	+	0.102230i
$629$	9.55634	−	5.25364i	0.381036	−	0.209476i
$630$	−3.03319	−	1.02462i	−0.120845	−	0.0408216i
$631$	14.4244	+	30.6535i	0.574228	+	1.22030i	0.955269	+	0.295738i	$0.0955655\pi$
$631$	14.4244	+	30.6535i	0.574228	+	1.22030i	−0.381042	+	0.924558i	$0.624435\pi$
$632$	−8.79327	+	12.1029i	−0.349777	+	0.481427i
$633$	−6.11284	−	6.50952i	−0.242964	−	0.258730i
$634$	−20.3585	+	8.06050i	−0.808539	+	0.320123i
$635$	1.95255	−	26.1818i	0.0774846	−	1.03899i
$636$	1.63275	−	0.419218i	0.0647426	−	0.0166231i
$637$	5.62718	−	4.65521i	0.222957	−	0.184446i
$638$	−0.0474733	−	0.119904i	−0.00187949	−	0.00474704i
$639$	0.352961	+	0.139747i	0.0139629	+	0.00552830i
$640$	−2.21503	−	0.305983i	−0.0875569	−	0.0120951i
$641$	−2.50409	+	3.94581i	−0.0989056	+	0.155850i	−0.890177	−	0.455615i	$-0.849419\pi$
$641$	−2.50409	+	3.94581i	−0.0989056	+	0.155850i	0.791271	+	0.611465i	$0.209419\pi$
$642$	−4.13332	+	7.51848i	−0.163129	+	0.296731i
$643$	−7.36639	−	10.1390i	−0.290502	−	0.399842i	0.638675	−	0.769477i	$-0.279483\pi$
$643$	−7.36639	−	10.1390i	−0.290502	−	0.399842i	−0.929177	+	0.369635i	$0.879483\pi$
$644$	2.19712	−	11.5177i	0.0865788	−	0.453862i
$645$	5.01977	−	0.897319i	0.197653	−	0.0353319i
$646$	6.58029	−	13.9838i	0.258898	−	0.550186i
$647$	−0.372344	−	0.677292i	−0.0146384	−	0.0266271i	0.868886	−	0.495012i	$-0.164836\pi$
$647$	−0.372344	−	0.677292i	−0.0146384	−	0.0266271i	−0.883525	+	0.468385i	$0.844836\pi$
$648$	0.998027	+	0.0627905i	0.0392062	+	0.00246664i
$649$	−4.11204	−	2.98757i	−0.161412	−	0.117272i
$650$	−7.37496	−	0.171232i	−0.289270	−	0.00671628i
$651$	5.97704	−	4.34257i	0.234259	−	0.170199i
$652$	−3.30271	+	2.09596i	−0.129344	+	0.0820842i
$653$	−1.16295	+	9.20566i	−0.0455096	+	0.360245i	0.952872	+	0.303373i	$0.0981128\pi$
$653$	−1.16295	+	9.20566i	−0.0455096	+	0.360245i	−0.998381	+	0.0568724i	$0.981887\pi$
$654$	−19.2035	−	2.42596i	−0.750915	−	0.0948626i
$655$	−0.748771	−	6.53640i	−0.0292569	−	0.255398i
$656$	−7.71033	−	4.23879i	−0.301038	−	0.165497i
$657$	10.9286	+	3.55091i	0.426365	+	0.138534i
$658$	9.56713	−	4.50195i	0.372965	−	0.175504i
$659$	−20.2932	−	5.21040i	−0.790509	−	0.202968i	−0.168214	−	0.985751i	$-0.553800\pi$
$659$	−20.2932	−	5.21040i	−0.790509	−	0.202968i	−0.622296	+	0.782782i	$0.713800\pi$
$660$	4.45911	−	3.16132i	0.173571	−	0.123054i
$661$	−2.33132	+	2.81808i	−0.0906777	+	0.109610i	−0.813901	−	0.581004i	$-0.802660\pi$
$661$	−2.33132	+	2.81808i	−0.0906777	+	0.109610i	0.723223	+	0.690615i	$0.242660\pi$
$662$	−3.49956	−	2.22089i	−0.136014	−	0.0863173i
$663$	5.00352	−	0.314795i	0.194321	−	0.0122256i
$664$	1.97165	+	3.10683i	0.0765149	+	0.120568i
$665$	6.04652	+	13.2464i	0.234474	+	0.513675i
$666$	−0.201513	−	3.20295i	−0.00780846	−	0.124112i
$667$	−0.424380	−	0.0809548i	−0.0164321	−	0.00313458i
$668$	8.17694	−	2.65685i	0.316375	−	0.102797i
$669$	7.55264	−	7.09240i	0.292002	−	0.274208i
$670$	14.2385	−	0.730003i	0.550080	−	0.0282025i
$671$	1.38800	+	7.27616i	0.0535832	+	0.280893i
$672$	−0.980126	+	1.04373i	−0.0378092	+	0.0402627i
$673$	−12.0833	+	30.5189i	−0.465777	+	1.17642i	0.487177	+	0.873303i	$0.338027\pi$
$673$	−12.0833	+	30.5189i	−0.465777	+	1.17642i	−0.952954	+	0.303115i	$0.901973\pi$
$674$	−7.34226	−	22.5971i	−0.282813	−	0.870409i
$675$	−4.98150	−	0.429698i	−0.191738	−	0.0165391i
$676$	−3.34456	+	10.2935i	−0.128637	+	0.395904i
$677$	10.7044	+	8.85544i	0.411403	+	0.340342i	0.819991	−	0.572377i	$-0.193979\pi$
$677$	10.7044	+	8.85544i	0.411403	+	0.340342i	−0.408588	+	0.912719i	$0.633979\pi$
$678$	2.05608	+	0.967519i	0.0789634	+	0.0371573i
$679$	12.7212	+	11.9460i	0.488193	+	0.458444i
$680$	−7.57717	−	0.565080i	−0.290571	−	0.0216698i
$681$	−24.8627	+	3.14089i	−0.952741	+	0.120359i
$682$			12.6136i			0.482999i
$683$	−3.28066	−	25.9691i	−0.125531	−	0.993680i	−0.921510	−	0.388355i	$-0.873043\pi$
$683$	−3.28066	−	25.9691i	−0.125531	−	0.993680i	0.795979	−	0.605325i	$-0.206957\pi$
$684$	−2.89909	−	3.50440i	−0.110850	−	0.133994i
$685$	−20.9738	+	8.02377i	−0.801366	+	0.306573i
$686$	−1.07434	+	17.0761i	−0.0410183	+	0.651968i
$687$	−6.21590	+	24.2093i	−0.237151	+	0.923643i
$688$	0.567136	−	2.20885i	0.0216219	−	0.0842116i
$689$	0.156165	−	2.48217i	0.00594940	−	0.0945630i
$690$	−0.937619	−	18.2879i	−0.0356945	−	0.696210i
$691$	−8.17907	−	9.88680i	−0.311147	−	0.376112i	0.591639	−	0.806203i	$-0.298481\pi$
$691$	−8.17907	−	9.88680i	−0.311147	−	0.376112i	−0.902785	+	0.430092i	$0.858481\pi$
$692$	−1.67943	−	13.2941i	−0.0638425	−	0.505365i
$693$		−	3.49999i		−	0.132954i
$694$	−19.8170	+	2.50347i	−0.752242	+	0.0950303i
$695$	−11.2743	−	9.54945i	−0.427657	−	0.362231i
$696$	0.0384570	+	0.0361135i	0.00145771	+	0.00136888i
$697$	−27.0526	−	12.7300i	−1.02469	−	0.482183i
$698$	−10.3445	−	8.55774i	−0.391546	−	0.323915i
$699$	4.89327	−	15.0600i	0.185081	−	0.569620i
$700$	5.02044	−	5.10348i	0.189755	−	0.192893i
$701$	7.70087	+	23.7008i	0.290858	+	0.895168i	0.984581	+	0.174927i	$0.0559690\pi$
$701$	7.70087	+	23.7008i	0.290858	+	0.895168i	−0.693724	+	0.720241i	$0.744031\pi$
$702$	0.543127	−	1.37178i	0.0204990	−	0.0517746i
$703$	−9.99185	+	10.6402i	−0.376850	+	0.401304i
$704$	−0.458052	−	2.40119i	−0.0172635	−	0.0904983i
$705$	12.8447	−	10.3773i	0.483759	−	0.390832i
$706$	−7.98043	+	7.49412i	−0.300347	+	0.282045i
$707$	−7.35475	+	2.38970i	−0.276604	+	0.0898741i
$708$	2.04244	+	0.389617i	0.0767597	+	0.0146427i
$709$	−1.30274	−	20.7064i	−0.0489254	−	0.777646i	−0.943633	−	0.330994i	$-0.892616\pi$
$709$	−1.30274	−	20.7064i	−0.0489254	−	0.777646i	0.894708	−	0.446652i	$-0.147384\pi$
$710$	−0.625490	+	0.573859i	−0.0234742	+	0.0215365i
$711$	8.01597	+	12.6311i	0.300622	+	0.473705i
$712$	−7.12882	+	0.448508i	−0.267164	+	0.0168085i
$713$	35.6789	+	22.6425i	1.33618	+	0.847968i
$714$	−3.10123	+	3.74874i	−0.116061	+	0.140293i
$715$	−2.40289	−	7.69825i	−0.0898631	−	0.287898i
$716$	−21.3478	−	5.48119i	−0.797805	−	0.204842i
$717$	−11.5884	+	5.45307i	−0.432776	+	0.203649i
$718$	11.3225	+	3.67891i	0.422553	+	0.137296i
$719$	−13.5383	−	7.44276i	−0.504895	−	0.277568i	0.208883	−	0.977941i	$-0.433017\pi$
$719$	−13.5383	−	7.44276i	−0.504895	−	0.277568i	−0.713778	+	0.700372i	$0.753017\pi$
$720$	−1.09990	+	1.94685i	−0.0409910	+	0.0725547i
$721$	14.7029	+	1.85741i	0.547564	+	0.0691734i
$722$	−0.211259	+	1.67229i	−0.00786225	+	0.0622361i
$723$	−13.5272	+	8.58460i	−0.503081	+	0.319265i
$724$	19.6180	−	14.2533i	0.729096	−	0.529719i
$725$	−0.188042	−	0.184982i	−0.00698370	−	0.00687007i
$726$	−4.06488	−	2.95331i	−0.150862	−	0.109608i
$727$	−50.4885	−	3.17647i	−1.87252	−	0.117809i	−0.914511	−	0.404560i	$-0.867425\pi$
$727$	−50.4885	−	3.17647i	−1.87252	−	0.117809i	−0.958005	+	0.286751i	$0.907425\pi$
$728$	1.01768	+	1.85115i	0.0377177	+	0.0686082i
$729$	0.425779	−	0.904827i	0.0157696	−	0.0335121i
$730$	−17.8054	+	18.5252i	−0.659008	+	0.685648i
$731$	1.45205	−	7.61193i	0.0537061	−	0.281537i
$732$	−1.78112	−	2.45151i	−0.0658323	−	0.0906103i
$733$	12.7273	−	23.1509i	0.470093	−	0.855097i	−0.529882	−	0.848071i	$-0.677764\pi$
$733$	12.7273	−	23.1509i	0.470093	−	0.855097i	0.999975	−	0.00702540i	$-0.00223627\pi$
$734$	−7.19189	+	11.3326i	−0.265457	+	0.418294i
$735$	1.94770	+	10.8958i	0.0718419	+	0.401897i
$736$	−7.61427	−	3.01470i	−0.280666	−	0.111123i
$737$	5.73761	+	14.4916i	0.211348	+	0.533803i
$738$	−6.77949	+	5.60848i	−0.249557	+	0.206451i
$739$	−23.1494	+	5.94375i	−0.851564	+	0.218644i	−0.649154	−	0.760657i	$-0.724877\pi$
$739$	−23.1494	+	5.94375i	−0.851564	+	0.218644i	−0.202409	+	0.979301i	$0.564877\pi$
$740$	6.64114	+	2.71899i	0.244133	+	0.0999522i
$741$	−6.23906	+	2.47022i	−0.229198	+	0.0907458i
$742$	1.65220	+	1.75942i	0.0606543	+	0.0645903i
$743$	−24.5807	+	33.8324i	−0.901779	+	1.24119i	0.0681182	+	0.997677i	$0.478300\pi$
$743$	−24.5807	+	33.8324i	−0.901779	+	1.24119i	−0.969897	+	0.243515i	$0.921700\pi$
$744$	−2.19702	−	4.66891i	−0.0805468	−	0.171171i
$745$	13.3530	+	18.8348i	0.489218	+	0.690053i
$746$	−6.80677	+	3.74206i	−0.249214	+	0.137006i
$747$	3.61447	−	0.689497i	0.132246	−	0.0252274i
$748$	−2.06573	−	8.04547i	−0.0755304	−	0.294172i
$749$	−12.2844			−0.448861
$750$	5.72399	−	9.60395i	0.209011	−	0.350687i
$751$	11.2718			0.411312			0.205656	−	0.978624i	$-0.434067\pi$
$751$	11.2718			0.411312			0.205656	+	0.978624i	$0.434067\pi$
$752$	−1.83652	−	7.15277i	−0.0669710	−	0.260835i
$753$	−21.8303	+	4.16435i	−0.795540	+	0.151757i
$754$	0.0682071	−	0.0374972i	0.00248396	−	0.00136557i
$755$	−11.6436	+	3.63437i	−0.423754	+	0.132268i
$756$	0.609625	+	1.29552i	0.0221719	+	0.0471176i
$757$	−13.2093	+	18.1811i	−0.480102	+	0.660804i	−0.978524	−	0.206131i	$-0.933913\pi$
$757$	−13.2093	+	18.1811i	−0.480102	+	0.660804i	0.498423	+	0.866934i	$0.333913\pi$
$758$	−12.3307	−	13.1309i	−0.447871	−	0.476934i
$759$	18.6130	−	7.36941i	0.675609	−	0.267493i
$760$	9.87913	−	2.41466i	0.358354	−	0.0875890i
$761$	−37.0522	+	9.51338i	−1.34314	+	0.344860i	−0.850776	−	0.525529i	$-0.823867\pi$
$761$	−37.0522	+	9.51338i	−1.34314	+	0.344860i	−0.492365	+	0.870389i	$0.663867\pi$
$762$	−9.04689	+	7.48424i	−0.327734	+	0.271125i
$763$	−10.2021	−	25.7676i	−0.369342	−	0.932851i
$764$	14.8889	+	5.89495i	0.538663	+	0.213272i
$765$	−3.31474	+	6.83706i	−0.119845	+	0.247194i
$766$	1.43019	−	2.25362i	0.0516748	−	0.0814264i
$767$	1.47789	−	2.68828i	0.0533637	−	0.0970682i
$768$	0.587785	+	0.809017i	0.0212099	+	0.0291929i
$769$	5.45311	−	28.5862i	0.196644	−	1.03085i	−0.737876	−	0.674936i	$-0.764171\pi$
$769$	5.45311	−	28.5862i	0.196644	−	1.03085i	0.934520	−	0.355910i	$-0.115829\pi$
$770$	7.04222	+	3.41421i	0.253784	+	0.123039i
$771$	0.210318	−	0.446948i	0.00757441	−	0.0160964i
$772$	2.90104	+	5.27697i	0.104411	+	0.189922i
$773$	−23.0041	−	1.44729i	−0.827399	−	0.0520556i	−0.356558	−	0.934273i	$-0.616050\pi$
$773$	−23.0041	−	1.44729i	−0.827399	−	0.0520556i	−0.470842	+	0.882218i	$0.656050\pi$
$774$	−1.84496	−	1.34044i	−0.0663157	−	0.0481812i
$775$	10.4403	+	23.5933i	0.375026	+	0.847495i
$776$	9.86045	−	7.16404i	0.353969	−	0.257174i
$777$	3.87970	−	2.46213i	0.139184	−	0.0883285i
$778$	−1.40419	+	11.1153i	−0.0503428	+	0.398504i
$779$	39.7020	+	5.01553i	1.42247	+	0.179700i
$780$	2.23031	+	2.43097i	0.0798578	+	0.0870427i
$781$	−0.813190	−	0.447055i	−0.0290982	−	0.0159969i
$782$	−26.4657	−	8.59922i	−0.946410	−	0.307507i
$783$	0.0477345	−	0.0224621i	0.00170589	−	0.000802731i
$784$	4.79447	+	1.23101i	0.171231	+	0.0439647i
$785$	−24.5227	−	18.2554i	−0.875253	−	0.651563i
$786$	−1.87548	+	2.26707i	−0.0668963	+	0.0808637i
$787$	−35.8671	−	22.7619i	−1.27852	−	0.811375i	−0.289221	−	0.957262i	$-0.593396\pi$
$787$	−35.8671	−	22.7619i	−1.27852	−	0.811375i	−0.989301	+	0.145887i	$0.953396\pi$
$788$	7.46377	−	0.469580i	0.265886	−	0.0167281i
$789$	−10.5368	−	16.6034i	−0.375121	−	0.591096i
$790$	−33.2342	+	3.80711i	−1.18242	+	0.135451i
$791$	0.204290	+	3.24710i	0.00726372	+	0.115454i
$792$	−2.40119	−	0.458052i	−0.0853226	−	0.0162762i
$793$	−4.25196	+	1.38154i	−0.150991	+	0.0490601i
$794$	−3.22289	+	3.02649i	−0.114376	+	0.107406i
$795$	3.15891	+	2.05652i	0.112035	+	0.0729374i
$796$	−2.51939	−	13.2071i	−0.0892973	−	0.468113i
$797$	36.2949	−	38.6501i	1.28563	−	1.36906i	0.392183	−	0.919887i	$-0.371720\pi$
$797$	36.2949	−	38.6501i	1.28563	−	1.36906i	0.893447	−	0.449169i	$-0.148280\pi$
$798$	2.39722	−	6.05468i	0.0848605	−	0.214333i
$799$	−7.75437	−	23.8655i	−0.274330	−	0.844300i
$800$	−2.84424	−	4.11221i	−0.100559	−	0.145389i
$801$	−2.20728	+	6.79332i	−0.0779905	+	0.240030i
$802$	29.9119	+	24.7453i	1.05623	+	0.873787i
$803$	−25.4162	−	11.9600i	−0.896920	−	0.422058i
$804$	−4.64791	−	4.36467i	−0.163919	−	0.153930i
$805$	22.2989	−	13.7909i	0.785932	−	0.486064i
$806$	−7.55299	+	0.954165i	−0.266043	+	0.0336090i
$807$		−	7.25263i		−	0.255305i
$808$	0.676939	+	5.35852i	0.0238146	+	0.188512i
$809$	6.67903	+	8.07356i	0.234822	+	0.283851i	0.874740	−	0.484592i	$-0.161032\pi$
$809$	6.67903	+	8.07356i	0.234822	+	0.283851i	−0.639918	+	0.768443i	$0.721032\pi$
$810$	1.40523	+	1.73935i	0.0493747	+	0.0611144i
$811$	−0.953592	+	15.1569i	−0.0334851	+	0.532231i	0.945151	+	0.326633i	$0.105914\pi$
$811$	−0.953592	+	15.1569i	−0.0334851	+	0.532231i	−0.978636	+	0.205598i	$0.934086\pi$
$812$	−0.0187847	+	0.0731614i	−0.000659212	+	0.00256746i
$813$	−6.94023	+	27.0304i	−0.243404	+	0.947998i
$814$	−0.492596	+	7.82959i	−0.0172655	+	0.274427i
$815$	−8.44608	−	2.27340i	−0.295853	−	0.0796337i
$816$	2.16598	+	2.61822i	0.0758246	+	0.0916562i
$817$	1.29996	+	10.2902i	0.0454798	+	0.360010i
$818$		−	33.3684i		−	1.16670i
$819$	2.09579	−	0.264760i	0.0732328	−	0.00925145i
$820$	−4.67132	−	19.1118i	−0.163130	−	0.667414i
$821$	29.5775	+	27.7751i	1.03226	+	0.969359i	0.999547	−	0.0301058i	$-0.00958443\pi$
$821$	29.5775	+	27.7751i	1.03226	+	0.969359i	0.0327156	+	0.999465i	$0.489584\pi$
$822$	9.08691	+	4.27598i	0.316942	+	0.149142i
$823$	24.8382	+	20.5479i	0.865804	+	0.716256i	0.960210	−	0.279278i	$-0.0900952\pi$
$823$	24.8382	+	20.5479i	0.865804	+	0.716256i	−0.0944059	+	0.995534i	$0.530095\pi$
$824$	3.19849	−	9.84393i	0.111425	−	0.342930i
$825$	11.9496	+	2.56832i	0.416030	+	0.0894174i
$826$	0.919967	+	2.83137i	0.0320098	+	0.0985159i
$827$	−17.5218	+	44.2551i	−0.609293	+	1.53890i	0.217303	+	0.976104i	$0.430274\pi$
$827$	−17.5218	+	44.2551i	−0.609293	+	1.53890i	−0.826596	+	0.562795i	$0.809726\pi$
$828$	−5.60600	+	5.96979i	−0.194822	+	0.207464i
$829$	−0.650610	−	3.41062i	−0.0225966	−	0.118456i	0.969202	−	0.246268i	$-0.0792044\pi$
$829$	−0.650610	−	3.41062i	−0.0225966	−	0.118456i	−0.991798	+	0.127813i	$0.959204\pi$
$830$	−2.13857	+	7.94515i	−0.0742307	+	0.275780i
$831$	−0.417628	+	0.392179i	−0.0144874	+	0.0136045i
$832$	1.40318	−	0.455921i	0.0486465	−	0.0158062i
$833$	16.5222	+	3.15179i	0.572462	+	0.109203i
$834$	0.414894	+	6.59455i	0.0143666	+	0.228351i
$835$	16.7385	+	9.45669i	0.579259	+	0.327262i
$836$	5.95726	+	9.38714i	0.206036	+	0.324661i
$837$	−5.14982	+	0.323999i	−0.178004	+	0.0111991i
$838$	6.82661	+	4.33230i	0.235821	+	0.149657i
$839$	−27.6451	+	33.4172i	−0.954416	+	1.15369i	0.0336151	+	0.999435i	$0.489298\pi$
$839$	−27.6451	+	33.4172i	−0.954416	+	1.15369i	−0.988031	+	0.154256i	$0.950702\pi$
$840$	−3.20136	−	0.0371596i	−0.110457	−	0.00128213i
$841$	−28.0862	−	7.21131i	−0.968490	−	0.248666i
$842$	−8.54136	+	4.01926i	−0.294355	+	0.138513i
$843$	26.1438	+	8.49463i	0.900439	+	0.292570i
$844$	−7.82521	−	4.30195i	−0.269355	−	0.148079i
$845$	−22.0163	+	10.0496i	−0.757383	+	0.345718i
$846$	−7.32655	−	0.925558i	−0.251892	−	0.0318213i
$847$	0.901645	−	7.13725i	0.0309809	−	0.245239i
$848$	1.42329	−	0.903247i	0.0488759	−	0.0310176i
$849$	−16.6020	+	12.0621i	−0.569780	+	0.413970i
$850$	−10.5231	−	13.3390i	−0.360940	−	0.457523i
$851$	21.2626	+	15.4482i	0.728872	+	0.529557i
$852$	0.378870	+	0.0238365i	0.0129799	+	0.000816624i
$853$	−8.15289	−	14.8300i	−0.279150	−	0.507771i	0.699148	−	0.714977i	$-0.253563\pi$
$853$	−8.15289	−	14.8300i	−0.279150	−	0.507771i	−0.978297	+	0.207206i	$0.933563\pi$
$854$	1.84731	−	3.92572i	0.0632135	−	0.134336i
$855$	1.39166	−	10.0743i	0.0475936	−	0.344533i
$856$	−1.60768	+	8.42776i	−0.0549494	+	0.288055i
$857$	3.65518	+	5.03092i	0.124858	+	0.171853i	0.866870	−	0.498534i	$-0.166128\pi$
$857$	3.65518	+	5.03092i	0.124858	+	0.171853i	−0.742012	+	0.670387i	$0.766128\pi$
$858$	−1.73748	+	3.16047i	−0.0593166	+	0.107897i
$859$	10.7185	−	16.8897i	0.365711	−	0.576269i	−0.610787	−	0.791795i	$-0.709147\pi$
$859$	10.7185	−	16.8897i	0.365711	−	0.576269i	0.976498	+	0.215526i	$0.0691467\pi$
$860$	4.49680	−	2.40460i	0.153340	−	0.0819961i
$861$	−11.7132	−	4.63757i	−0.399184	−	0.158048i
$862$	−10.1812	−	25.7149i	−0.346775	−	0.875853i
$863$	36.2177	−	29.9619i	1.23287	−	1.01991i	0.234002	−	0.972236i	$-0.424818\pi$
$863$	36.2177	−	29.9619i	1.23287	−	1.01991i	0.998863	−	0.0476787i	$-0.0151824\pi$
$864$	0.968583	−	0.248690i	0.0329519	−	0.00846060i
$865$	19.3656	−	22.8635i	0.658452	−	0.777381i
$866$	−2.49960	+	0.989661i	−0.0849398	+	0.0336300i
$867$	−3.73312	−	3.97537i	−0.126784	−	0.135011i
$868$	4.34257	−	5.97704i	0.147397	−	0.202874i
$869$	−15.5706	−	33.0891i	−0.528195	−	1.12247i
$870$	−0.00136918	+	0.117957i	−4.64194e−5	+	0.00399910i
$871$	−8.24350	+	4.53190i	−0.279320	+	0.153558i
$872$	−19.0132	+	3.62697i	−0.643870	+	0.122825i
$873$	−3.03108	−	11.8053i	−0.102586	−	0.399548i
$874$	37.2464			1.25988
$875$	15.9982	+	0.557294i	0.540837	+	0.0188400i
$876$	11.4910			0.388245
$877$	−5.54393	−	21.5922i	−0.187205	−	0.729116i	−0.990960	−	0.134156i	$-0.957168\pi$
$877$	−5.54393	−	21.5922i	−0.187205	−	0.729116i	0.803755	−	0.594960i	$-0.202832\pi$
$878$	3.78074	−	0.721214i	0.127594	−	0.0243398i
$879$	11.6225	−	6.38955i	0.392019	−	0.215514i
$880$	3.26397	−	4.38453i	0.110028	−	0.147803i
$881$	1.91323	+	4.06581i	0.0644582	+	0.136981i	0.934460	−	0.356067i	$-0.115883\pi$
$881$	1.91323	+	4.06581i	0.0644582	+	0.136981i	−0.870002	+	0.493048i	$0.835883\pi$
$882$	2.90953	−	4.00462i	0.0979689	−	0.134843i
$883$	−9.72355	−	10.3545i	−0.327224	−	0.348458i	0.544230	−	0.838936i	$-0.316822\pi$
$883$	−9.72355	−	10.3545i	−0.327224	−	0.348458i	−0.871453	+	0.490479i	$0.836822\pi$
$884$	4.66135	−	1.84556i	0.156778	−	0.0620729i
$885$	2.44554	+	3.95427i	0.0822059	+	0.132921i
$886$	35.2461	−	9.04965i	1.18411	−	0.304029i
$887$	−4.45259	+	3.68350i	−0.149503	+	0.123680i	−0.709169	−	0.705039i	$-0.750930\pi$
$887$	−4.45259	+	3.68350i	−0.149503	+	0.123680i	0.559666	+	0.828719i	$0.310930\pi$
$888$	−1.18142	−	2.98392i	−0.0396458	−	0.100134i
$889$	−15.6306	−	6.18860i	−0.524234	−	0.207559i
$890$	−11.5154	−	11.0680i	−0.385998	−	0.371001i
$891$	−1.30982	+	2.06395i	−0.0438807	+	0.0691449i
$892$	4.99131	−	9.07916i	0.167122	−	0.303993i
$893$	19.7419	+	27.1725i	0.660639	+	0.909292i
$894$	1.93476	−	10.1424i	0.0647080	−	0.339211i
$895$	−23.2396	−	43.4601i	−0.776816	−	1.45271i
$896$	−0.609625	+	1.29552i	−0.0203662	+	0.0432803i
$897$	5.82079	+	10.5880i	0.194350	+	0.353522i
$898$	−36.6837	−	2.30794i	−1.22415	−	0.0770170i
$899$	−0.220229	−	0.160006i	−0.00734504	−	0.00533649i
$900$	−4.87047	+	1.13070i	−0.162349	+	0.0376901i
$901$	4.63411	−	3.36688i	0.154385	−	0.112167i
$902$	18.1600	−	11.5247i	0.604663	−	0.383731i
$903$	0.409236	−	3.23944i	0.0136185	−	0.107802i
$904$	2.25443	+	0.284801i	0.0749812	+	0.00947233i
$905$	53.1407	+	10.7778i	1.76646	+	0.358267i
$906$	4.78020	+	2.62794i	0.158811	+	0.0873074i
$907$	33.0284	+	10.7316i	1.09669	+	0.356336i	0.800828	−	0.598894i	$-0.204393\pi$
$907$	33.0284	+	10.7316i	1.09669	+	0.356336i	0.295862	+	0.955231i	$0.404393\pi$
$908$	−22.6753	+	10.6702i	−0.752505	+	0.354102i
$909$	5.23143	+	1.34320i	0.173515	+	0.0445512i
$910$	−1.51171	+	4.47514i	−0.0501126	+	0.148349i
$911$	17.7477	−	21.4533i	0.588008	−	0.710779i	−0.389655	−	0.920961i	$-0.627406\pi$
$911$	17.7477	−	21.4533i	0.588008	−	0.710779i	0.977662	+	0.210182i	$0.0674056\pi$
$912$	−3.84012	−	2.43702i	−0.127159	−	0.0806976i
$913$	−8.97710	+	0.564791i	−0.297099	+	0.0186919i
$914$	−17.1764	−	27.0657i	−0.568146	−	0.895255i
$915$	1.34682	−	6.64060i	0.0445246	−	0.219531i
$916$	1.56942	+	24.9453i	0.0518552	+	0.824214i
$917$	−4.13811	−	0.789386i	−0.136652	−	0.0260678i
$918$	3.23171	−	1.05005i	0.106662	−	0.0346567i
$919$	−2.75234	+	2.58462i	−0.0907914	+	0.0852588i	−0.728614	−	0.684924i	$-0.759835\pi$
$919$	−2.75234	+	2.58462i	−0.0907914	+	0.0852588i	0.637823	+	0.770183i	$0.279835\pi$
$920$	−6.54301	−	17.1031i	−0.215717	−	0.563873i
$921$	1.24614	+	6.53250i	0.0410617	+	0.215253i
$922$	18.5297	−	19.7322i	0.610245	−	0.649845i
$923$	0.206181	−	0.520755i	0.00678654	−	0.0171408i
$924$	−1.08156	−	3.32869i	−0.0355806	−	0.109506i
$925$	5.55919	+	15.0527i	0.182785	+	0.494930i
$926$	−0.792765	+	2.43988i	−0.0260519	+	0.0801794i
$927$	−7.97521	−	6.59767i	−0.261940	−	0.216696i
$928$	0.0477345	+	0.0224621i	0.00156696	+	0.000737356i
$929$	12.6449	+	11.8743i	0.414865	+	0.389585i	0.863680	−	0.504040i	$-0.168154\pi$
$929$	12.6449	+	11.8743i	0.414865	+	0.389585i	−0.448815	+	0.893625i	$0.648154\pi$
$930$	4.37169	−	10.6779i	0.143354	−	0.350141i
$931$	−22.3357	+	2.82166i	−0.732023	+	0.0924760i
$932$		−	15.8350i		−	0.518692i
$933$	1.07467	+	8.50685i	0.0351830	+	0.278502i
$934$	16.5325	+	19.9843i	0.540959	+	0.653907i
$935$	10.1337	−	15.5658i	0.331406	−	0.509055i
$936$	0.0926405	−	1.47248i	0.00302805	−	0.0481295i
$937$	−5.22086	+	20.3339i	−0.170558	+	0.664280i	0.824576	+	0.565751i	$0.191414\pi$
$937$	−5.22086	+	20.3339i	−0.170558	+	0.664280i	−0.995134	+	0.0985290i	$0.968586\pi$
$938$	2.27031	−	8.84227i	0.0741282	−	0.288710i
$939$	−1.06477	+	16.9240i	−0.0347475	+	0.552295i
$940$	9.00926	−	13.8386i	0.293850	−	0.451367i
$941$	−26.9868	−	32.6215i	−0.879746	−	1.06343i	−0.997520	−	0.0703897i	$-0.977576\pi$
$941$	−26.9868	−	32.6215i	−0.879746	−	1.06343i	0.117774	−	0.993040i	$-0.462424\pi$
$942$	1.71356	+	13.5642i	0.0558308	+	0.441946i
$943$		−	72.0555i		−	2.34645i
$944$	2.06288	−	0.260602i	0.0671409	−	0.00848187i
$945$	−1.21305	+	2.96287i	−0.0394605	+	0.0963821i
$946$	4.06374	+	3.81611i	0.132124	+	0.124072i
$947$	−32.5414	−	15.3128i	−1.05745	−	0.497601i	−0.183204	−	0.983075i	$-0.558647\pi$
$947$	−32.5414	−	15.3128i	−1.05745	−	0.497601i	−0.874251	+	0.485474i	$0.838647\pi$
$948$	11.5269	+	9.53586i	0.374376	+	0.309710i
$949$	5.23898	−	16.1239i	0.170065	−	0.523405i
$950$	18.9126	+	12.6275i	0.613606	+	0.409689i
$951$	6.76627	+	20.8244i	0.219411	+	0.675279i
$952$	−1.79102	+	4.52360i	−0.0580472	+	0.146611i
$953$	17.2335	−	18.3518i	0.558248	−	0.594474i	−0.386492	−	0.922293i	$-0.626313\pi$
$953$	17.2335	−	18.3518i	0.558248	−	0.594474i	0.944741	+	0.327818i	$0.106313\pi$
$954$	−0.315870	−	1.65585i	−0.0102267	−	0.0536100i
$955$	12.7942	+	33.4434i	0.414011	+	1.08220i
$956$	−9.33610	+	8.76719i	−0.301951	+	0.283551i
$957$	−0.122648	+	0.0398508i	−0.00396465	+	0.00128819i
$958$	2.51198	+	0.479187i	0.0811585	+	0.0154818i
$959$	0.902866	+	14.3506i	0.0291551	+	0.463407i
$960$	−0.444463	+	2.19145i	−0.0143450	+	0.0707287i
$961$	−2.34389	−	3.69339i	−0.0756095	−	0.119141i
$962$	−4.72561	+	0.297310i	−0.152360	+	0.00958566i
$963$	7.24411	+	4.59725i	0.233438	+	0.148144i
$964$	−10.2123	+	12.3446i	−0.328916	+	0.397592i
$965$	−4.30934	+	12.7570i	−0.138722	+	0.410663i
$966$	−11.3570	−	2.91599i	−0.365407	−	0.0938206i
$967$	−15.3644	+	7.22993i	−0.494085	+	0.232499i	−0.656645	−	0.754200i	$-0.728025\pi$
$967$	−15.3644	+	7.22993i	−0.494085	+	0.232499i	0.162560	+	0.986699i	$0.448025\pi$
$968$	−4.77856	−	1.55265i	−0.153589	−	0.0499040i
$969$	−13.5431	−	7.44536i	−0.435066	−	0.239179i
$970$	26.7098	+	5.41719i	0.857600	+	0.173936i
$971$	51.3802	+	6.49083i	1.64887	+	0.208301i	0.894156	−	0.447755i	$-0.147776\pi$
$971$	51.3802	+	6.49083i	1.64887	+	0.208301i	0.754713	+	0.656055i	$0.227776\pi$
$972$	0.125333	−	0.992115i	0.00402007	−	0.0318221i
$973$	−7.98790	+	5.06927i	−0.256080	+	0.162513i
$974$	27.4121	−	19.9160i	0.878339	−	0.638151i
$975$	−0.633972	+	7.34966i	−0.0203034	+	0.235377i
$976$	−2.45151	−	1.78112i	−0.0784709	−	0.0570124i
$977$	48.4384	+	3.04748i	1.54968	+	0.0974977i	0.814416	−	0.580282i	$-0.197058\pi$
$977$	48.4384	+	3.04748i	1.54968	+	0.0974977i	0.735265	+	0.677779i	$0.237058\pi$
$978$	1.88445	+	3.42780i	0.0602580	+	0.109609i
$979$	7.43444	−	15.7990i	0.237606	−	0.504938i
$980$	5.21935	+	9.76064i	0.166726	+	0.311792i
$981$	−3.62697	+	19.0132i	−0.115800	+	0.607046i
$982$	16.7024	+	22.9888i	0.532994	+	0.733603i
$983$	−15.1760	+	27.6050i	−0.484039	+	0.880464i	0.515680	+	0.856781i	$0.327539\pi$
$983$	−15.1760	+	27.6050i	−0.484039	+	0.880464i	−0.999720	+	0.0236829i	$0.992461\pi$
$984$	−4.71456	+	7.42896i	−0.150295	+	0.236827i
$985$	12.0565	+	11.5880i	0.384152	+	0.369226i
$986$	0.166675	+	0.0659915i	0.00530803	+	0.00210160i
$987$	−3.89234	−	9.83093i	−0.123895	−	0.312922i
$988$	−5.17036	+	4.27729i	−0.164491	+	0.136079i
$989$	18.0891	−	4.64448i	0.575199	−	0.147686i
$990$	−2.87509	−	4.64882i	−0.0913763	−	0.147749i
$991$	−4.59180	+	1.81802i	−0.145863	+	0.0577513i	−0.439922	−	0.898036i	$-0.644994\pi$
$991$	−4.59180	+	1.81802i	−0.145863	+	0.0577513i	0.294059	+	0.955787i	$0.404994\pi$
$992$	−3.53227	−	3.76148i	−0.112150	−	0.119427i
$993$	−2.43625	+	3.35321i	−0.0773120	+	0.106411i
$994$	0.231425	+	0.491804i	0.00734036	+	0.0155991i
$995$	17.9526	−	24.1159i	0.569134	−	0.764526i
$996$	3.22450	−	1.77268i	0.102172	−	0.0561696i
$997$	−51.4911	+	9.82246i	−1.63074	+	0.311080i	−0.919864	−	0.392237i	$-0.871701\pi$
$997$	−51.4911	+	9.82246i	−1.63074	+	0.311080i	−0.710876	+	0.703317i	$0.751701\pi$
$998$	−8.41921	−	32.7906i	−0.266505	−	1.03797i
$999$	−3.20929			−0.101537

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	750.2.o.a.229.1	✓	240
125.119	even	50	inner	750.2.o.a.619.1	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
750.2.o.a.229.1	✓	240	1.1	even	1	trivial
750.2.o.a.619.1	yes	240	125.119	even	50	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 750 = 2 \cdot 3 \cdot 5^{3} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	750.o (of order \(50\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.248690 - 0.968583i) q^{2} +(-0.982287 + 0.187381i) q^{3} +(-0.876307 + 0.481754i) q^{4} +(-2.11846 - 0.715620i) q^{5} +(0.425779 + 0.904827i) q^{6} +(-0.841583 + 1.15834i) q^{7} +(0.684547 + 0.728969i) q^{8} +(0.929776 - 0.368125i) q^{9} +(-0.166297 + 2.22988i) q^{10} +(-2.36769 + 0.607920i) q^{11} +(0.770513 - 0.637424i) q^{12} +(-0.543127 - 1.37178i) q^{13} +(1.33124 + 0.527076i) q^{14} +(2.21503 + 0.305983i) q^{15} +(0.535827 - 0.844328i) q^{16} +(1.63701 - 2.97771i) q^{17} +(-0.587785 - 0.809017i) q^{18} +(-0.852237 + 4.46758i) q^{19} +(2.20118 - 0.393476i) q^{20} +(0.609625 - 1.29552i) q^{21} +(1.17764 + 2.14212i) q^{22} +(8.17320 + 0.514214i) q^{23} +(-0.809017 - 0.587785i) q^{24} +(3.97578 + 3.03203i) q^{25} +(-1.19362 + 0.867213i) q^{26} +(-0.844328 + 0.535827i) q^{27} +(0.179451 - 1.42050i) q^{28} +(-0.0523394 - 0.00661200i) q^{29} +(-0.254486 - 2.22154i) q^{30} +(4.52175 + 2.48585i) q^{31} +(-0.951057 - 0.309017i) q^{32} +(2.21184 - 1.04081i) q^{33} +(-3.29127 - 0.845055i) q^{34} +(2.61180 - 1.85165i) q^{35} +(-0.637424 + 0.770513i) q^{36} +(2.70969 + 1.71962i) q^{37} +(4.53917 - 0.285580i) q^{38} +(0.790554 + 1.24571i) q^{39} +(-0.928524 - 2.03417i) q^{40} +(-0.552473 - 8.78131i) q^{41} +(-1.40643 - 0.268290i) q^{42} +(2.16888 - 0.704712i) q^{43} +(1.78196 - 1.67337i) q^{44} +(-2.23313 + 0.114492i) q^{45} +(-1.53453 - 8.04430i) q^{46} +(5.05523 - 5.38327i) q^{47} +(-0.368125 + 0.929776i) q^{48} +(1.52963 + 4.70772i) q^{49} +(1.94804 - 4.60491i) q^{50} +(-1.05005 + 3.23171i) q^{51} +(1.13681 + 0.940449i) q^{52} +(1.52527 + 0.717739i) q^{53} +(0.728969 + 0.684547i) q^{54} +(5.45091 + 0.406510i) q^{55} +(-1.42050 + 0.179451i) q^{56} -4.54814i q^{57} +(0.00661200 + 0.0523394i) q^{58} +(1.32538 + 1.60211i) q^{59} +(-2.08846 + 0.798965i) q^{60} +(0.190270 - 3.02425i) q^{61} +(1.28324 - 4.99789i) q^{62} +(-0.356071 + 1.38681i) q^{63} +(-0.0627905 + 0.998027i) q^{64} +(0.168921 + 3.29475i) q^{65} +(-1.55818 - 1.88351i) q^{66} +(-0.799125 - 6.32573i) q^{67} +3.39803i q^{68} +(-8.12478 + 1.02640i) q^{69} +(-2.44300 - 2.06925i) q^{70} +(0.276730 + 0.259867i) q^{71} +(0.904827 + 0.425779i) q^{72} +(8.85396 + 7.32464i) q^{73} +(0.991724 - 3.05221i) q^{74} +(-4.47350 - 2.23334i) q^{75} +(-1.40545 - 4.32554i) q^{76} +(1.28843 - 3.25421i) q^{77} +(1.00997 - 1.07551i) q^{78} +(2.80322 + 14.6950i) q^{79} +(-1.73935 + 1.40523i) q^{80} +(0.728969 - 0.684547i) q^{81} +(-8.36803 + 2.71894i) q^{82} +(3.61447 + 0.689497i) q^{83} +(0.0899027 + 1.42896i) q^{84} +(-5.59886 + 5.13670i) q^{85} +(-1.22195 - 1.92549i) q^{86} +(0.0526513 - 0.00331254i) q^{87} +(-2.06395 - 1.30982i) q^{88} +(-4.55307 + 5.50371i) q^{89} +(0.666253 + 2.13450i) q^{90} +(2.04608 + 0.525344i) q^{91} +(-7.40995 + 3.48686i) q^{92} +(-4.90746 - 1.59453i) q^{93} +(-6.47133 - 3.55764i) q^{94} +(5.00252 - 8.85453i) q^{95} +(0.992115 + 0.125333i) q^{96} +(1.52758 - 12.0921i) q^{97} +(4.17941 - 2.65233i) q^{98} +(-1.97763 + 1.43683i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 10 q^{11} + 20 q^{13} - 10 q^{17} + 10 q^{19} + 60 q^{23} - 60 q^{24} + 60 q^{25} + 10 q^{28} + 20 q^{29} + 10 q^{30} - 30 q^{31} - 10 q^{34} - 10 q^{35} + 20 q^{37} - 90 q^{38} - 20 q^{41} - 10 q^{42}+ \cdots - 20 q^{99}+O(q^{100}) \) 240 * q - 10 * q^11 + 20 * q^13 - 10 * q^17 + 10 * q^19 + 60 * q^23 - 60 * q^24 + 60 * q^25 + 10 * q^28 + 20 * q^29 + 10 * q^30 - 30 * q^31 - 10 * q^34 - 10 * q^35 + 20 * q^37 - 90 * q^38 - 20 * q^41 - 10 * q^42 - 10 * q^46 + 140 * q^47 + 50 * q^49 + 20 * q^50 + 10 * q^51 - 80 * q^52 + 30 * q^53 - 10 * q^55 - 30 * q^58 + 20 * q^59 + 40 * q^60 - 100 * q^61 - 10 * q^62 - 10 * q^63 - 20 * q^65 - 40 * q^66 - 10 * q^67 - 10 * q^69 + 10 * q^70 + 80 * q^71 + 20 * q^73 - 80 * q^75 + 10 * q^76 + 20 * q^77 + 140 * q^79 + 100 * q^82 - 70 * q^83 - 20 * q^85 + 20 * q^86 + 30 * q^87 - 10 * q^88 + 40 * q^89 + 10 * q^90 + 170 * q^91 + 120 * q^92 + 50 * q^93 - 30 * q^94 + 220 * q^95 - 60 * q^97 - 120 * q^98 - 20 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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