LMFDB - Embedded newform 750.2.o.a.229.5

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			229.5
Character	$\chi$	$=$	750.229
Dual form			750.2.o.a.619.5

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.248690 - 0.968583i) q^{2} +(-0.982287 + 0.187381i) q^{3} +(-0.876307 + 0.481754i) q^{4} +(1.78988 + 1.34028i) q^{5} +(0.425779 + 0.904827i) q^{6} +(-1.01019 + 1.39041i) q^{7} +(0.684547 + 0.728969i) q^{8} +(0.929776 - 0.368125i) q^{9} +(0.853048 - 2.06696i) q^{10} +(-2.53533 + 0.650962i) q^{11} +(0.770513 - 0.637424i) q^{12} +(-0.512741 - 1.29504i) q^{13} +(1.59795 + 0.632672i) q^{14} +(-2.00931 - 0.981150i) q^{15} +(0.535827 - 0.844328i) q^{16} +(0.822427 - 1.49599i) q^{17} +(-0.587785 - 0.809017i) q^{18} +(-1.34015 + 7.02529i) q^{19} +(-2.21416 - 0.312216i) q^{20} +(0.731760 - 1.55507i) q^{21} +(1.26102 + 2.29379i) q^{22} +(-2.71686 - 0.170930i) q^{23} +(-0.809017 - 0.587785i) q^{24} +(1.40731 + 4.79786i) q^{25} +(-1.12684 + 0.818695i) q^{26} +(-0.844328 + 0.535827i) q^{27} +(0.215402 - 1.70508i) q^{28} +(-4.59603 - 0.580613i) q^{29} +(-0.450629 + 2.19019i) q^{30} +(-8.33285 - 4.58102i) q^{31} +(-0.951057 - 0.309017i) q^{32} +(2.36844 - 1.11450i) q^{33} +(-1.65352 - 0.424552i) q^{34} +(-3.67164 + 1.13472i) q^{35} +(-0.637424 + 0.770513i) q^{36} +(-6.93396 - 4.40043i) q^{37} +(7.13786 - 0.449076i) q^{38} +(0.746325 + 1.17602i) q^{39} +(0.248233 + 2.22225i) q^{40} +(0.785006 + 12.4773i) q^{41} +(-1.68819 - 0.322040i) q^{42} +(0.760060 - 0.246959i) q^{43} +(1.90812 - 1.79185i) q^{44} +(2.15757 + 0.587263i) q^{45} +(0.510095 + 2.67401i) q^{46} +(-3.97532 + 4.23329i) q^{47} +(-0.368125 + 0.929776i) q^{48} +(1.25037 + 3.84825i) q^{49} +(4.29715 - 2.55627i) q^{50} +(-0.527539 + 1.62360i) q^{51} +(1.07321 + 0.887834i) q^{52} +(12.8901 + 6.06561i) q^{53} +(0.728969 + 0.684547i) q^{54} +(-5.41039 - 2.23291i) q^{55} +(-1.70508 + 0.215402i) q^{56} -7.15197i q^{57} +(0.580613 + 4.59603i) q^{58} +(9.18344 + 11.1009i) q^{59} +(2.23345 - 0.108207i) q^{60} +(0.492352 - 7.82571i) q^{61} +(-2.36481 + 9.21031i) q^{62} +(-0.427407 + 1.66464i) q^{63} +(-0.0627905 + 0.998027i) q^{64} +(0.817967 - 3.00517i) q^{65} +(-1.66850 - 2.01687i) q^{66} +(0.411231 + 3.25523i) q^{67} +1.70715i q^{68} +(2.70077 - 0.341186i) q^{69} +(2.01217 + 3.27410i) q^{70} +(1.68700 + 1.58420i) q^{71} +(0.904827 + 0.425779i) q^{72} +(-10.3663 - 8.57576i) q^{73} +(-2.53777 + 7.81046i) q^{74} +(-2.28141 - 4.44918i) q^{75} +(-2.21008 - 6.80193i) q^{76} +(1.65606 - 4.18273i) q^{77} +(0.953470 - 1.01534i) q^{78} +(1.94696 + 10.2063i) q^{79} +(2.09070 - 0.793084i) q^{80} +(0.728969 - 0.684547i) q^{81} +(11.8901 - 3.86332i) q^{82} +(2.90863 + 0.554851i) q^{83} +(0.107914 + 1.71525i) q^{84} +(3.47708 - 1.57535i) q^{85} +(-0.428219 - 0.674765i) q^{86} +(4.62342 - 0.290881i) q^{87} +(-2.21008 - 1.40256i) q^{88} +(-7.31877 + 8.84688i) q^{89} +(0.0322462 - 2.23584i) q^{90} +(2.31859 + 0.595313i) q^{91} +(2.46315 - 1.15907i) q^{92} +(9.04365 + 2.93846i) q^{93} +(5.08891 + 2.79765i) q^{94} +(-11.8145 + 10.7782i) q^{95} +(0.992115 + 0.125333i) q^{96} +(0.598706 - 4.73924i) q^{97} +(3.41639 - 2.16811i) q^{98} +(-2.11765 + 1.53857i) 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
$5$	1.78988	+	1.34028i	0.800456	+	0.599391i
$5$	1.78988	+	1.34028i	0.800456	+	0.599391i
$6$	0.425779	+	0.904827i	0.173824	+	0.369394i
$7$	−1.01019	+	1.39041i	−0.381816	+	0.525524i	−0.956064	−	0.293157i	$-0.905294\pi$
$7$	−1.01019	+	1.39041i	−0.381816	+	0.525524i	0.574249	+	0.818681i	$0.305294\pi$
$8$	0.684547	+	0.728969i	0.242024	+	0.257729i
$9$	0.929776	−	0.368125i	0.309925	−	0.122708i
$10$	0.853048	−	2.06696i	0.269757	−	0.653629i
$11$	−2.53533	+	0.650962i	−0.764430	+	0.196272i	−0.610723	−	0.791844i	$-0.709121\pi$
$11$	−2.53533	+	0.650962i	−0.764430	+	0.196272i	−0.153707	+	0.988116i	$0.549121\pi$
$12$	0.770513	−	0.637424i	0.222428	−	0.184008i
$13$	−0.512741	−	1.29504i	−0.142209	−	0.359179i	0.841163	−	0.540782i	$-0.181871\pi$
$13$	−0.512741	−	1.29504i	−0.142209	−	0.359179i	−0.983372	+	0.181603i	$0.941871\pi$
$14$	1.59795	+	0.632672i	0.427069	+	0.169089i
$15$	−2.00931	−	0.981150i	−0.518803	−	0.253332i
$16$	0.535827	−	0.844328i	0.133957	−	0.211082i
$17$	0.822427	−	1.49599i	0.199468	−	0.362831i	−0.757589	−	0.652732i	$-0.773623\pi$
$17$	0.822427	−	1.49599i	0.199468	−	0.362831i	0.957056	+	0.289902i	$0.0936226\pi$
$18$	−0.587785	−	0.809017i	−0.138542	−	0.190687i
$19$	−1.34015	+	7.02529i	−0.307450	+	1.61171i	0.407955	+	0.913002i	$0.366242\pi$
$19$	−1.34015	+	7.02529i	−0.307450	+	1.61171i	−0.715405	+	0.698710i	$0.753758\pi$
$20$	−2.21416	−	0.312216i	−0.495102	−	0.0698137i
$21$	0.731760	−	1.55507i	0.159683	−	0.339344i
$22$	1.26102	+	2.29379i	0.268851	+	0.489037i
$23$	−2.71686	−	0.170930i	−0.566504	−	0.0356414i	−0.223044	−	0.974808i	$-0.571599\pi$
$23$	−2.71686	−	0.170930i	−0.566504	−	0.0356414i	−0.343461	+	0.939167i	$0.611599\pi$
$24$	−0.809017	−	0.587785i	−0.165140	−	0.119981i
$25$	1.40731	+	4.79786i	0.281461	+	0.959573i
$26$	−1.12684	+	0.818695i	−0.220991	+	0.160559i
$27$	−0.844328	+	0.535827i	−0.162491	+	0.103120i
$28$	0.215402	−	1.70508i	0.0407072	−	0.322231i
$29$	−4.59603	−	0.580613i	−0.853461	−	0.107817i	−0.313583	−	0.949561i	$-0.601529\pi$
$29$	−4.59603	−	0.580613i	−0.853461	−	0.107817i	−0.539878	+	0.841744i	$0.681529\pi$
$30$	−0.450629	+	2.19019i	−0.0822732	+	0.399872i
$31$	−8.33285	−	4.58102i	−1.49662	−	0.822776i	−0.497619	−	0.867396i	$-0.665792\pi$
$31$	−8.33285	−	4.58102i	−1.49662	−	0.822776i	−0.999004	+	0.0446199i	$0.985792\pi$
$32$	−0.951057	−	0.309017i	−0.168125	−	0.0546270i
$33$	2.36844	−	1.11450i	0.412293	−	0.194010i
$34$	−1.65352	−	0.424552i	−0.283576	−	0.0728100i
$35$	−3.67164	+	1.13472i	−0.620621	+	0.191802i
$36$	−0.637424	+	0.770513i	−0.106237	+	0.128419i
$37$	−6.93396	−	4.40043i	−1.13994	−	0.723426i	−0.174653	−	0.984630i	$-0.555880\pi$
$37$	−6.93396	−	4.40043i	−1.13994	−	0.723426i	−0.965284	+	0.261204i	$0.915880\pi$
$38$	7.13786	−	0.449076i	1.15791	−	0.0728497i
$39$	0.746325	+	1.17602i	0.119508	+	0.188314i
$40$	0.248233	+	2.22225i	0.0392490	+	0.351368i
$41$	0.785006	+	12.4773i	0.122597	+	1.94863i	0.277561	+	0.960708i	$0.410474\pi$
$41$	0.785006	+	12.4773i	0.122597	+	1.94863i	−0.154963	+	0.987920i	$0.549526\pi$
$42$	−1.68819	−	0.322040i	−0.260494	−	0.0496919i
$43$	0.760060	−	0.246959i	0.115908	−	0.0376608i	−0.250489	−	0.968120i	$-0.580591\pi$
$43$	0.760060	−	0.246959i	0.115908	−	0.0376608i	0.366397	+	0.930459i	$0.380591\pi$
$44$	1.90812	−	1.79185i	0.287660	−	0.270131i
$45$	2.15757	+	0.587263i	0.321632	+	0.0875440i
$46$	0.510095	+	2.67401i	0.0752095	+	0.394262i
$47$	−3.97532	+	4.23329i	−0.579860	+	0.617488i	−0.950288	−	0.311373i	$-0.899211\pi$
$47$	−3.97532	+	4.23329i	−0.579860	+	0.617488i	0.370428	+	0.928861i	$0.379211\pi$
$48$	−0.368125	+	0.929776i	−0.0531342	+	0.134202i
$49$	1.25037	+	3.84825i	0.178625	+	0.549750i
$50$	4.29715	−	2.55627i	0.607708	−	0.361511i
$51$	−0.527539	+	1.62360i	−0.0738702	+	0.227349i
$52$	1.07321	+	0.887834i	0.148827	+	0.123120i
$53$	12.8901	+	6.06561i	1.77059	+	0.833175i	0.973287	+	0.229593i	$0.0737395\pi$
$53$	12.8901	+	6.06561i	1.77059	+	0.833175i	0.797301	+	0.603582i	$0.206261\pi$
$54$	0.728969	+	0.684547i	0.0992001	+	0.0931551i
$55$	−5.41039	−	2.23291i	−0.729537	−	0.301085i
$56$	−1.70508	+	0.215402i	−0.227851	+	0.0287843i
$57$		−	7.15197i		−	0.947302i
$58$	0.580613	+	4.59603i	0.0762383	+	0.603488i
$59$	9.18344	+	11.1009i	1.19558	+	1.44521i	0.865247	+	0.501347i	$0.167162\pi$
$59$	9.18344	+	11.1009i	1.19558	+	1.44521i	0.330335	+	0.943864i	$0.392838\pi$
$60$	2.23345	−	0.108207i	0.288337	−	0.0139694i
$61$	0.492352	−	7.82571i	0.0630392	−	1.00198i	−0.831653	−	0.555296i	$-0.812605\pi$
$61$	0.492352	−	7.82571i	0.0630392	−	1.00198i	0.894692	−	0.446684i	$-0.147395\pi$
$62$	−2.36481	+	9.21031i	−0.300331	+	1.16971i
$63$	−0.427407	+	1.66464i	−0.0538483	+	0.209725i
$64$	−0.0627905	+	0.998027i	−0.00784881	+	0.124753i
$65$	0.817967	−	3.00517i	0.101456	−	0.372745i
$66$	−1.66850	−	2.01687i	−0.205378	−	0.248259i
$67$	0.411231	+	3.25523i	0.0502399	+	0.397690i	0.997104	+	0.0760548i	$0.0242324\pi$
$67$	0.411231	+	3.25523i	0.0502399	+	0.397690i	−0.946864	+	0.321635i	$0.895768\pi$
$68$			1.70715i			0.207023i
$69$	2.70077	−	0.341186i	0.325134	−	0.0410740i
$70$	2.01217	+	3.27410i	0.240500	+	0.391330i
$71$	1.68700	+	1.58420i	0.200210	+	0.188010i	0.778167	−	0.628057i	$-0.216150\pi$
$71$	1.68700	+	1.58420i	0.200210	+	0.188010i	−0.577957	+	0.816068i	$0.696150\pi$
$72$	0.904827	+	0.425779i	0.106635	+	0.0501786i
$73$	−10.3663	−	8.57576i	−1.21328	−	1.00372i	−0.999641	−	0.0268051i	$-0.991467\pi$
$73$	−10.3663	−	8.57576i	−1.21328	−	1.00372i	−0.213644	−	0.976912i	$-0.568533\pi$
$74$	−2.53777	+	7.81046i	−0.295010	+	0.907948i
$75$	−2.28141	−	4.44918i	−0.263434	−	0.513747i
$76$	−2.21008	−	6.80193i	−0.253514	−	0.780235i
$77$	1.65606	−	4.18273i	0.188726	−	0.476666i
$78$	0.953470	−	1.01534i	0.107959	−	0.114965i
$79$	1.94696	+	10.2063i	0.219050	+	1.14830i	0.906544	+	0.422111i	$0.138711\pi$
$79$	1.94696	+	10.2063i	0.219050	+	1.14830i	−0.687494	+	0.726190i	$0.741289\pi$
$80$	2.09070	−	0.793084i	0.233747	−	0.0886695i
$81$	0.728969	−	0.684547i	0.0809965	−	0.0760608i
$82$	11.8901	−	3.86332i	1.31304	−	0.426633i
$83$	2.90863	+	0.554851i	0.319264	+	0.0609028i	0.344522	−	0.938778i	$-0.388041\pi$
$83$	2.90863	+	0.554851i	0.319264	+	0.0609028i	−0.0252586	+	0.999681i	$0.508041\pi$
$84$	0.107914	+	1.71525i	0.0117744	+	0.187149i
$85$	3.47708	−	1.57535i	0.377143	−	0.170871i
$86$	−0.428219	−	0.674765i	−0.0461761	−	0.0727618i
$87$	4.62342	−	0.290881i	0.495682	−	0.0311857i
$88$	−2.21008	−	1.40256i	−0.235596	−	0.149514i
$89$	−7.31877	+	8.84688i	−0.775789	+	0.937767i	−0.999318	−	0.0369299i	$-0.988242\pi$
$89$	−7.31877	+	8.84688i	−0.775789	+	0.937767i	0.223529	+	0.974697i	$0.428242\pi$
$90$	0.0322462	−	2.23584i	0.00339905	−	0.235678i
$91$	2.31859	+	0.595313i	0.243055	+	0.0624058i
$92$	2.46315	−	1.15907i	0.256801	−	0.120841i
$93$	9.04365	+	2.93846i	0.937782	+	0.304704i
$94$	5.08891	+	2.79765i	0.524881	+	0.288556i
$95$	−11.8145	+	10.7782i	−1.21215	+	1.10582i
$96$	0.992115	+	0.125333i	0.101257	+	0.0127918i
$97$	0.598706	−	4.73924i	0.0607893	−	0.481197i	−0.932104	−	0.362190i	$-0.882029\pi$
$97$	0.598706	−	4.73924i	0.0607893	−	0.481197i	0.992893	−	0.119007i	$-0.0379710\pi$
$98$	3.41639	−	2.16811i	0.345108	−	0.219012i
$99$	−2.11765	+	1.53857i	−0.212832	+	0.154632i
$100$	−3.54462	−	3.52643i	−0.354462	−	0.352643i
$101$	−11.5547	−	8.39501i	−1.14974	−	0.835335i	−0.161293	−	0.986907i	$-0.551566\pi$
$101$	−11.5547	−	8.39501i	−1.14974	−	0.835335i	−0.988446	+	0.151572i	$0.951566\pi$
$102$	1.70378	+	0.107193i	0.168700	+	0.0106137i
$103$	−0.810610	−	1.47449i	−0.0798718	−	0.145286i	0.833355	−	0.552739i	$-0.186417\pi$
$103$	−0.810610	−	1.47449i	−0.0798718	−	0.145286i	−0.913226	+	0.407452i	$0.866417\pi$
$104$	0.593046	−	1.26029i	0.0581529	−	0.123581i
$105$	3.39398	−	1.80262i	0.331219	−	0.175917i
$106$	2.66941	−	13.9936i	0.259276	−	1.35917i
$107$	−7.04843	−	9.70133i	−0.681398	−	0.937863i	0.318552	−	0.947905i	$-0.396803\pi$
$107$	−7.04843	−	9.70133i	−0.681398	−	0.937863i	−0.999950	+	0.0100420i	$0.996803\pi$
$108$	0.481754	−	0.876307i	0.0463568	−	0.0843226i
$109$	2.36348	−	3.72424i	0.226380	−	0.356718i	−0.712084	−	0.702094i	$-0.752249\pi$
$109$	2.36348	−	3.72424i	0.226380	−	0.356718i	0.938464	+	0.345376i	$0.112249\pi$
$110$	−0.817246	+	5.79572i	−0.0779214	+	0.552600i
$111$	7.63570	+	3.02319i	0.724749	+	0.286948i
$112$	0.632672	+	1.59795i	0.0597819	+	0.150992i
$113$	4.92297	−	4.07263i	0.463114	−	0.383121i	−0.376402	−	0.926456i	$-0.622839\pi$
$113$	4.92297	−	4.07263i	0.463114	−	0.383121i	0.839516	+	0.543335i	$0.182839\pi$
$114$	−6.92728	+	1.77862i	−0.648799	+	0.166583i
$115$	−4.63375	−	3.94729i	−0.432099	−	0.368087i
$116$	4.30724	−	1.70536i	0.399917	−	0.158339i
$117$	−0.953470	−	1.01534i	−0.0881483	−	0.0938684i
$118$	8.46829	−	11.6556i	0.779569	−	1.07298i
$119$	1.24923	+	2.65474i	0.114516	+	0.243360i
$120$	−0.660243	−	2.13637i	−0.0602717	−	0.195023i
$121$	−3.63523	+	1.99849i	−0.330476	+	0.181681i
$122$	−7.70230	+	1.46929i	−0.697333	+	0.133023i
$123$	−3.10912	−	12.1092i	−0.280340	−	1.09185i
$124$	9.50905			0.853938
$125$	−3.91157	+	10.4738i	−0.349862	+	0.936801i
$126$	1.71864			0.153108
$127$	−3.71128	−	14.4545i	−0.329323	−	1.28263i	−0.890520	−	0.454945i	$-0.849659\pi$
$127$	−3.71128	−	14.4545i	−0.329323	−	1.28263i	0.561197	−	0.827682i	$-0.310341\pi$
$128$	0.982287	−	0.187381i	0.0868227	−	0.0165623i
$129$	−0.700322	+	0.385005i	−0.0616599	+	0.0338978i
$130$	−3.11418	−	0.0449140i	−0.273131	−	0.00393922i
$131$	0.916405	+	1.94746i	0.0800666	+	0.170150i	0.940852	−	0.338818i	$-0.110027\pi$
$131$	0.916405	+	1.94746i	0.0800666	+	0.170150i	−0.860785	+	0.508968i	$0.830027\pi$
$132$	−1.53857	+	2.11765i	−0.133915	+	0.184318i
$133$	−8.41420	−	8.96022i	−0.729604	−	0.776949i
$134$	3.05069	−	1.20785i	0.263540	−	0.104343i
$135$	−2.22940	−	0.172572i	−0.191876	−	0.0148526i
$136$	1.65352	−	0.424552i	0.141788	−	0.0364050i
$137$	9.06224	−	7.49694i	0.774240	−	0.640507i	−0.164013	−	0.986458i	$-0.552444\pi$
$137$	9.06224	−	7.49694i	0.774240	−	0.640507i	0.938252	+	0.345952i	$0.112444\pi$
$138$	−1.00212	−	2.53107i	−0.0853061	−	0.215459i
$139$	2.15155	+	0.851860i	0.182492	+	0.0722538i	0.457594	−	0.889161i	$-0.348711\pi$
$139$	2.15155	+	0.851860i	0.182492	+	0.0722538i	−0.275101	+	0.961415i	$0.588711\pi$
$140$	2.67083	−	2.76319i	0.225726	−	0.233532i
$141$	3.11167	−	4.90320i	0.262050	−	0.412924i
$142$	1.11489	−	2.02798i	0.0935595	−	0.170184i
$143$	2.14299	+	2.94957i	0.179206	+	0.246655i
$144$	0.187381	−	0.982287i	0.0156151	−	0.0818573i
$145$	−7.44813	−	7.19918i	−0.618534	−	0.597860i
$146$	−5.72834	+	12.1733i	−0.474081	+	1.00747i
$147$	−1.94931	−	3.54579i	−0.160777	−	0.292452i
$148$	8.19620	+	0.515661i	0.673723	+	0.0423871i
$149$	17.3485	+	12.6044i	1.42124	+	1.03259i	0.991565	+	0.129613i	$0.0413734\pi$
$149$	17.3485	+	12.6044i	1.42124	+	1.03259i	0.429679	+	0.902982i	$0.358627\pi$
$150$	−3.74203	+	3.31620i	−0.305536	+	0.270766i
$151$	−5.70796	+	4.14708i	−0.464507	+	0.337484i	−0.795297	−	0.606220i	$-0.792685\pi$
$151$	−5.70796	+	4.14708i	−0.464507	+	0.337484i	0.330789	+	0.943705i	$0.392685\pi$
$152$	−6.03861	+	3.83222i	−0.489796	+	0.310834i
$153$	0.213963	−	1.69369i	0.0172979	−	0.136927i
$154$	−4.46317	−	0.563829i	−0.359652	−	0.0454347i
$155$	−8.77491	−	19.3678i	−0.704818	−	1.55566i
$156$	−1.22056	−	0.671009i	−0.0977231	−	0.0537237i
$157$	−1.37158	−	0.445654i	−0.109464	−	0.0355670i	0.253773	−	0.967264i	$-0.418328\pi$
$157$	−1.37158	−	0.445654i	−0.109464	−	0.0355670i	−0.363237	+	0.931697i	$0.618328\pi$
$158$	9.40149	−	4.42400i	0.747942	−	0.351955i
$159$	−13.7983	−	3.54281i	−1.09428	−	0.280963i
$160$	−1.28810	−	1.82778i	−0.101834	−	0.144499i
$161$	2.98220	−	3.60487i	0.235031	−	0.284103i
$162$	−0.844328	−	0.535827i	−0.0663367	−	0.0420985i
$163$	−3.01068	+	0.189416i	−0.235814	+	0.0148362i	−0.180258	−	0.983619i	$-0.557693\pi$
$163$	−3.01068	+	0.189416i	−0.235814	+	0.0148362i	−0.0555564	+	0.998456i	$0.517693\pi$
$164$	−6.69890	−	10.5558i	−0.523096	−	0.824267i
$165$	5.73296	+	1.17955i	0.446311	+	0.0918278i
$166$	−0.185928	−	2.95524i	−0.0144308	−	0.229371i
$167$	17.6986	+	3.37619i	1.36956	+	0.261257i	0.819122	−	0.573619i	$-0.194461\pi$
$167$	17.6986	+	3.37619i	1.36956	+	0.261257i	0.550437	+	0.834877i	$0.314461\pi$
$168$	1.63452	−	0.531088i	0.126106	−	0.0409743i
$169$	8.06238	−	7.57107i	0.620183	−	0.582390i
$170$	−2.39057	−	2.97607i	−0.183349	−	0.228254i
$171$	1.34015	+	7.02529i	0.102483	+	0.537237i
$172$	−0.547073	+	0.582573i	−0.0417139	+	0.0444208i
$173$	−2.83394	+	7.15773i	−0.215461	+	0.544192i	−0.996802	−	0.0799124i	$-0.974536\pi$
$173$	−2.83394	+	7.15773i	−0.215461	+	0.544192i	0.781341	+	0.624104i	$0.214536\pi$
$174$	−1.43154	−	4.40582i	−0.108525	−	0.334005i
$175$	−8.09262	−	2.89002i	−0.611745	−	0.218465i
$176$	−0.808872	+	2.48945i	−0.0609710	+	0.187649i
$177$	−11.1009	−	9.18344i	−0.834393	−	0.690270i
$178$	10.3890	+	4.88871i	0.778692	+	0.366425i
$179$	−6.62387	−	6.22023i	−0.495091	−	0.464922i	0.396323	−	0.918111i	$-0.370286\pi$
$179$	−6.62387	−	6.22023i	−0.495091	−	0.464922i	−0.891414	+	0.453189i	$0.850286\pi$
$180$	−2.17361	+	0.524797i	−0.162011	+	0.0391160i
$181$	13.9778	−	1.76581i	1.03896	−	0.131252i	0.412703	−	0.910866i	$-0.364585\pi$
$181$	13.9778	−	1.76581i	1.03896	−	0.131252i	0.626260	+	0.779614i	$0.284585\pi$
$182$		−	2.39380i		−	0.177440i
$183$	0.982761	+	7.77936i	0.0726478	+	0.575066i
$184$	−1.73522	−	2.09752i	−0.127922	−	0.154631i
$185$	−6.51313	−	17.1697i	−0.478855	−	1.26234i
$186$	0.597078	−	9.49029i	0.0437799	−	0.695862i
$187$	−1.11129	+	4.32819i	−0.0812656	+	0.316509i
$188$	1.44420	−	5.62478i	0.105329	−	0.410229i
$189$	0.107914	−	1.71525i	0.00784959	−	0.124766i
$190$	13.3778	+	8.76293i	0.970525	+	0.635730i
$191$	−5.70233	−	6.89294i	−0.412606	−	0.498755i	0.522738	−	0.852493i	$-0.324910\pi$
$191$	−5.70233	−	6.89294i	−0.412606	−	0.498755i	−0.935345	+	0.353738i	$0.884910\pi$
$192$	−0.125333	−	0.992115i	−0.00904515	−	0.0715997i
$193$			6.13648i			0.441714i	0.975306	+	0.220857i	$0.0708854\pi$
$193$			6.13648i			0.441714i	−0.975306	+	0.220857i	$0.929115\pi$
$194$	−4.73924	+	0.598706i	−0.340258	+	0.0429845i
$195$	−0.240366	+	3.10521i	−0.0172130	+	0.222369i
$196$	−2.94962	−	2.76988i	−0.210687	−	0.197848i
$197$	19.6008	+	9.22343i	1.39650	+	0.657142i	0.969043	−	0.246894i	$-0.0794098\pi$
$197$	19.6008	+	9.22343i	1.39650	+	0.657142i	0.427456	+	0.904036i	$0.359410\pi$
$198$	2.01687	+	1.66850i	0.143333	+	0.118575i
$199$	1.26649	−	3.89786i	0.0897793	−	0.276312i	−0.896079	−	0.443895i	$-0.853596\pi$
$199$	1.26649	−	3.89786i	0.0897793	−	0.276312i	0.985858	+	0.167583i	$0.0535962\pi$
$200$	−2.53412	+	4.31024i	−0.179190	+	0.304780i
$201$	−1.01392	−	3.12052i	−0.0715162	−	0.220104i
$202$	−5.25772	+	13.2795i	−0.369932	+	0.934341i
$203$	5.45015	−	5.80382i	0.382525	−	0.407348i
$204$	−0.319888	−	1.67691i	−0.0223967	−	0.117407i
$205$	−15.3180	+	23.3850i	−1.06986	+	1.63328i
$206$	−1.22658	+	1.15184i	−0.0854599	+	0.0802522i
$207$	−2.58900	+	0.841216i	−0.179948	+	0.0584685i
$208$	−1.36818	−	0.260994i	−0.0948660	−	0.0180966i
$209$	−1.17549	−	18.6838i	−0.0813100	−	1.29239i
$210$	−2.59003	−	2.83906i	−0.178729	−	0.195914i
$211$	3.33621	+	5.25703i	0.229674	+	0.361909i	0.939546	−	0.342422i	$-0.111247\pi$
$211$	3.33621	+	5.25703i	0.229674	+	0.361909i	−0.709872	+	0.704331i	$0.751247\pi$
$212$	−14.2178	+	0.894507i	−0.976481	+	0.0614350i
$213$	−1.95397	−	1.24003i	−0.133884	−	0.0849653i
$214$	−7.64368	+	9.23962i	−0.522511	+	0.631607i
$215$	1.69141	+	0.576668i	0.115353	+	0.0393284i
$216$	−0.968583	−	0.248690i	−0.0659037	−	0.0169212i
$217$	14.7872	−	6.95834i	1.00382	−	0.472363i
$218$	−4.19501	−	1.36304i	−0.284122	−	0.0923168i
$219$	11.7896	+	6.48141i	0.796670	+	0.437973i
$220$	5.81687	−	0.649765i	0.392174	−	0.0438071i
$221$	−2.35905	−	0.298018i	−0.158687	−	0.0200468i
$222$	1.02929	−	8.14765i	0.0690812	−	0.546834i
$223$	1.76739	−	1.12162i	0.118353	−	0.0751094i	−0.475332	−	0.879806i	$-0.657672\pi$
$223$	1.76739	−	1.12162i	0.118353	−	0.0751094i	0.593686	+	0.804697i	$0.297672\pi$
$224$	1.39041	−	1.01019i	0.0929004	−	0.0674961i
$225$	3.07469	+	3.94288i	0.204979	+	0.262858i
$226$	−5.16897	−	3.75548i	−0.343835	−	0.249811i
$227$	−12.3200	−	0.775109i	−0.817708	−	0.0514458i	−0.351574	−	0.936160i	$-0.614353\pi$
$227$	−12.3200	−	0.775109i	−0.817708	−	0.0514458i	−0.466134	+	0.884714i	$0.654353\pi$
$228$	3.44549	+	6.26732i	0.228183	+	0.415063i
$229$	−0.901300	+	1.91536i	−0.0595596	+	0.126571i	−0.932391	−	0.361451i	$-0.882281\pi$
$229$	−0.901300	+	1.91536i	−0.0595596	+	0.126571i	0.872831	+	0.488022i	$0.162281\pi$
$230$	−2.67092	+	5.46982i	−0.176115	+	0.360669i
$231$	−0.842961	+	4.41896i	−0.0554628	+	0.290746i
$232$	−2.72295	−	3.74782i	−0.178770	−	0.246056i
$233$	−4.99410	+	9.08423i	−0.327174	+	0.595128i	−0.987826	−	0.155565i	$-0.950280\pi$
$233$	−4.99410	+	9.08423i	−0.327174	+	0.595128i	0.660651	+	0.750693i	$0.270280\pi$
$234$	−0.746325	+	1.17602i	−0.0487888	+	0.0768788i
$235$	−12.7891	+	2.24902i	−0.834270	+	0.146710i
$236$	−13.3954	−	5.30361i	−0.871966	−	0.345236i
$237$	−3.82495	−	9.66072i	−0.248457	−	0.627531i
$238$	2.26067	−	1.87019i	0.146537	−	0.121226i
$239$	16.1691	−	4.15152i	1.04589	−	0.268540i	0.313618	−	0.949549i	$-0.398459\pi$
$239$	16.1691	−	4.15152i	1.04589	−	0.268540i	0.732275	+	0.681010i	$0.238459\pi$
$240$	−1.90506	+	1.17079i	−0.122971	+	0.0755744i
$241$	−19.4266	+	7.69155i	−1.25138	+	0.495456i	−0.897988	−	0.440019i	$-0.854972\pi$
$241$	−19.4266	+	7.69155i	−1.25138	+	0.495456i	−0.353391	+	0.935476i	$0.614972\pi$
$242$	2.83975	+	3.02402i	0.182546	+	0.194392i
$243$	−0.587785	+	0.809017i	−0.0377064	+	0.0518985i
$244$	3.33861	+	7.09492i	0.213733	+	0.454205i
$245$	−2.91972	+	8.56373i	−0.186534	+	0.547117i
$246$	−10.9556	+	6.02287i	−0.698501	+	0.384004i
$247$	9.78516	−	1.86662i	0.622615	−	0.118770i
$248$	−2.36481	−	9.21031i	−0.150165	−	0.584855i
$249$	−2.96108			−0.187651
$250$	11.1175	+	1.18397i	0.703131	+	0.0748807i
$251$	−6.42457			−0.405515			−0.202758	−	0.979229i	$-0.564990\pi$
$251$	−6.42457			−0.405515			−0.202758	+	0.979229i	$0.564990\pi$
$252$	−0.427407	−	1.66464i	−0.0269241	−	0.104863i
$253$	6.99940	−	1.33521i	0.440049	−	0.0839438i
$254$	−13.0774	+	7.18936i	−0.820549	+	0.451101i
$255$	−3.12030	+	2.19899i	−0.195401	+	0.137706i
$256$	−0.425779	−	0.904827i	−0.0266112	−	0.0565517i
$257$	2.63967	−	3.63319i	0.164658	−	0.226632i	−0.718713	−	0.695307i	$-0.755268\pi$
$257$	2.63967	−	3.63319i	0.164658	−	0.226632i	0.883371	+	0.468675i	$0.155268\pi$
$258$	0.547073	+	0.582573i	0.0340593	+	0.0362694i
$259$	13.1230	−	5.19576i	0.815423	−	0.322849i
$260$	0.730961	+	3.02751i	0.0453323	+	0.187758i
$261$	−4.48702	+	1.15207i	−0.277739	+	0.0713113i
$262$	1.65838	−	1.37193i	0.102455	−	0.0847580i
$263$	9.67153	+	24.4275i	0.596372	+	1.50626i	0.843417	+	0.537260i	$0.180541\pi$
$263$	9.67153	+	24.4275i	0.596372	+	1.50626i	−0.247045	+	0.969004i	$0.579459\pi$
$264$	2.43375	+	0.963590i	0.149787	+	0.0593048i
$265$	14.9420	+	28.1330i	0.917880	+	1.72819i
$266$	−6.58619	+	10.3782i	−0.403825	+	0.636327i
$267$	5.53140	−	10.0616i	0.338516	−	0.615759i
$268$	−1.92858	−	2.65447i	−0.117807	−	0.162147i
$269$	1.12056	−	5.87420i	0.0683220	−	0.358156i	−0.931665	−	0.363319i	$-0.881643\pi$
$269$	1.12056	−	5.87420i	0.0683220	−	0.358156i	0.999987	+	0.00516286i	$0.00164340\pi$
$270$	0.387279	+	2.20227i	0.0235690	+	0.134026i
$271$	7.35313	−	15.6262i	0.446671	−	0.949224i	−0.547025	−	0.837116i	$-0.684240\pi$
$271$	7.35313	−	15.6262i	0.446671	−	0.949224i	0.993696	−	0.112108i	$-0.0357603\pi$
$272$	−0.822427	−	1.49599i	−0.0498670	−	0.0907077i
$273$	−2.38907	−	0.150308i	−0.144593	−	0.00909704i
$274$	−9.51510	−	6.91312i	−0.574828	−	0.417637i
$275$	−6.69121	−	11.2481i	−0.403495	−	0.678283i
$276$	−2.20233	+	1.60009i	−0.132565	+	0.0963140i
$277$	11.0643	−	7.02160i	0.664788	−	0.421887i	−0.160164	−	0.987090i	$-0.551202\pi$
$277$	11.0643	−	7.02160i	0.664788	−	0.421887i	0.824952	+	0.565203i	$0.191202\pi$
$278$	0.290028	−	2.29581i	0.0173947	−	0.137693i
$279$	−9.43407	−	1.19180i	−0.564803	−	0.0713512i
$280$	−3.34059	−	1.89975i	−0.199638	−	0.113532i
$281$	11.6797	+	6.42097i	0.696752	+	0.383043i	0.790424	−	0.612560i	$-0.209860\pi$
$281$	11.6797	+	6.42097i	0.696752	+	0.383043i	−0.0936714	+	0.995603i	$0.529860\pi$
$282$	−5.52300	−	1.79453i	−0.328890	−	0.106863i
$283$	−2.86512	+	1.34822i	−0.170314	+	0.0801435i	−0.509046	−	0.860739i	$-0.670002\pi$
$283$	−2.86512	+	1.34822i	−0.170314	+	0.0801435i	0.338733	+	0.940883i	$0.390002\pi$
$284$	−2.24153	−	0.575526i	−0.133010	−	0.0341512i
$285$	9.58563	−	12.8011i	0.567804	−	0.758274i
$286$	2.32396	−	2.80919i	0.137419	−	0.166111i
$287$	−18.1415	−	11.5130i	−1.07086	−	0.679589i
$288$	−0.998027	+	0.0627905i	−0.0588093	+	0.00369997i
$289$	7.54746	+	11.8929i	0.443968	+	0.699582i
$290$	−5.12073	+	9.00450i	−0.300700	+	0.528762i
$291$	0.299945	+	4.76748i	0.0175831	+	0.279475i
$292$	13.2155	+	2.52099i	0.773377	+	0.147530i
$293$	18.1170	−	5.88657i	1.05841	−	0.343897i	0.272444	−	0.962172i	$-0.412168\pi$
$293$	18.1170	−	5.88657i	1.05841	−	0.343897i	0.785962	+	0.618274i	$0.212168\pi$
$294$	−2.94962	+	2.76988i	−0.172025	+	0.161542i
$295$	1.55895	+	32.1775i	0.0907654	+	1.87345i
$296$	−1.53885	−	8.06694i	−0.0894439	−	0.468881i
$297$	1.79185	−	1.90812i	0.103973	−	0.110720i
$298$	7.89403	−	19.9381i	0.457289	−	1.15498i
$299$	1.17169	+	3.60608i	0.0677603	+	0.208545i
$300$	4.14262	+	2.79977i	0.239174	+	0.161645i
$301$	−0.424432	+	1.30627i	−0.0244638	+	0.0752920i
$302$	5.43630	+	4.49730i	0.312824	+	0.258790i
$303$	12.9231	+	6.08117i	0.742415	+	0.349354i
$304$	5.21356	+	4.89586i	0.299018	+	0.280797i
$305$	11.3699	−	13.3472i	0.651038	−	0.764256i
$306$	−1.69369	+	0.213963i	−0.0968219	+	0.0122314i
$307$		−	4.25707i		−	0.242964i	−0.992594	−	0.121482i	$-0.961235\pi$
$307$		−	4.25707i		−	0.242964i	0.992594	−	0.121482i	$-0.0387647\pi$
$308$	0.563829	+	4.46317i	0.0321272	+	0.254313i
$309$	1.07254	+	1.29648i	0.0610150	+	0.0737544i
$310$	−16.5771	+	13.3158i	−0.941515	+	0.756287i
$311$	0.664652	−	10.5643i	0.0376890	−	0.599049i	−0.933176	−	0.359421i	$-0.882974\pi$
$311$	0.664652	−	10.5643i	0.0376890	−	0.599049i	0.970865	−	0.239629i	$-0.0770257\pi$
$312$	−0.346387	+	1.34909i	−0.0196103	+	0.0763771i
$313$	−2.55360	+	9.94562i	−0.144338	+	0.562160i	0.854733	+	0.519068i	$0.173721\pi$
$313$	−2.55360	+	9.94562i	−0.144338	+	0.562160i	−0.999071	+	0.0430918i	$0.986279\pi$
$314$	−0.0905543	+	1.43932i	−0.00511028	+	0.0812255i
$315$	−2.99609	+	2.40666i	−0.168811	+	0.135600i
$316$	−6.62307	−	8.00592i	−0.372577	−	0.450368i
$317$	−3.35188	−	26.5328i	−0.188260	−	1.49023i	−0.749182	−	0.662364i	$-0.769553\pi$
$317$	−3.35188	−	26.5328i	−0.188260	−	1.49023i	0.560922	−	0.827869i	$-0.310447\pi$
$318$			14.2459i			0.798870i
$319$	12.0304	−	1.51979i	0.673573	−	0.0850921i
$320$	−1.45002	+	1.70219i	−0.0810587	+	0.0951551i
$321$	8.74143	+	8.20875i	0.487899	+	0.458168i
$322$	−4.23326	−	1.99202i	−0.235910	−	0.111011i
$323$	9.40758	+	7.78263i	0.523452	+	0.433037i
$324$	−0.309017	+	0.951057i	−0.0171676	+	0.0528365i
$325$	5.49183	−	4.28257i	0.304632	−	0.237555i
$326$	0.932190	+	2.86899i	0.0516292	+	0.158898i
$327$	−1.62376	+	4.10115i	−0.0897941	+	0.226794i
$328$	−8.55819	+	9.11355i	−0.472547	+	0.503212i
$329$	−1.87016	−	9.80373i	−0.103105	−	0.540497i
$330$	−0.283238	−	5.84619i	−0.0155917	−	0.321822i
$331$	22.9912	−	21.5901i	1.26371	−	1.18670i	0.290476	−	0.956882i	$-0.406187\pi$
$331$	22.9912	−	21.5901i	1.26371	−	1.18670i	0.973233	−	0.229819i	$-0.0738135\pi$
$332$	−2.81615	+	0.915024i	−0.154556	+	0.0502184i
$333$	−8.06694	−	1.53885i	−0.442066	−	0.0843285i
$334$	−1.13134	−	17.9822i	−0.0619044	−	0.983942i
$335$	−3.62687	+	6.37762i	−0.198157	+	0.348447i
$336$	−0.920891	−	1.45109i	−0.0502387	−	0.0791636i
$337$	−7.54800	+	0.474880i	−0.411166	+	0.0258684i	−0.267027	−	0.963689i	$-0.586041\pi$
$337$	−7.54800	+	0.474880i	−0.411166	+	0.0258684i	−0.144139	+	0.989557i	$0.546041\pi$
$338$	−9.33825	−	5.92623i	−0.507934	−	0.322345i
$339$	−4.07263	+	4.92297i	−0.221195	+	0.267379i
$340$	−2.28806	+	3.05559i	−0.124087	+	0.165713i
$341$	24.1086	+	6.19003i	1.30555	+	0.335209i
$342$	6.47130	−	3.04516i	0.349928	−	0.164663i
$343$	−18.0554	−	5.86655i	−0.974899	−	0.316764i
$344$	0.700322	+	0.385005i	0.0377588	+	0.0207581i
$345$	5.29132	+	3.00910i	0.284875	+	0.162004i
$346$	7.63763	+	0.964856i	0.410601	+	0.0518710i
$347$	−0.281049	+	2.22473i	−0.0150875	+	0.119430i	−0.997860	−	0.0653912i	$-0.979170\pi$
$347$	−0.281049	+	2.22473i	−0.0150875	+	0.119430i	0.982772	+	0.184821i	$0.0591705\pi$
$348$	−3.91140	+	2.48225i	−0.209673	+	0.133062i
$349$	2.64915	−	1.92472i	0.141806	−	0.103028i	−0.514621	−	0.857418i	$-0.672067\pi$
$349$	2.64915	−	1.92472i	0.141806	−	0.103028i	0.656426	+	0.754390i	$0.272067\pi$
$350$	−0.786675	+	8.55710i	−0.0420495	+	0.457396i
$351$	1.12684	+	0.818695i	0.0601461	+	0.0436987i
$352$	2.61240	+	0.164358i	0.139241	+	0.00876032i
$353$	12.7851	+	23.2560i	0.680482	+	1.23779i	0.960629	+	0.277835i	$0.0896169\pi$
$353$	12.7851	+	23.2560i	0.680482	+	1.23779i	−0.280147	+	0.959957i	$0.590383\pi$
$354$	−6.13425	+	13.0359i	−0.326032	+	0.692853i
$355$	0.896253	+	5.09658i	0.0475682	+	0.270498i
$356$	2.15147	−	11.2784i	0.114028	−	0.597755i
$357$	−1.72455	−	2.37363i	−0.0912727	−	0.125626i
$358$	−4.37752	+	7.96268i	−0.231359	+	0.420841i
$359$	−2.92391	+	4.60734i	−0.154318	+	0.243166i	−0.912687	−	0.408659i	$-0.865996\pi$
$359$	−2.92391	+	4.60734i	−0.154318	+	0.243166i	0.758369	+	0.651825i	$0.225996\pi$
$360$	1.04886	+	1.97481i	0.0552800	+	0.104082i
$361$	−29.8929	−	11.8355i	−1.57331	−	0.622919i
$362$	−5.18648	−	13.0995i	−0.272595	−	0.688497i
$363$	3.19636	−	2.64426i	0.167766	−	0.138788i
$364$	−2.31859	+	0.595313i	−0.121527	+	0.0312029i
$365$	−7.06049	−	29.2433i	−0.369563	−	1.53066i
$366$	7.29055	−	2.88653i	0.381083	−	0.150881i
$367$	20.1162	+	21.4216i	1.05006	+	1.11820i	0.992793	+	0.119839i	$0.0382378\pi$
$367$	20.1162	+	21.4216i	1.05006	+	1.11820i	0.0572642	+	0.998359i	$0.481762\pi$
$368$	−1.60009	+	2.20233i	−0.0834103	+	0.114804i
$369$	5.32308	+	11.3121i	0.277109	+	0.588886i
$370$	−15.0105	+	10.5784i	−0.780358	+	0.549946i
$371$	−21.4551	+	11.7950i	−1.11389	+	0.612367i
$372$	−9.34062	+	1.78182i	−0.484289	+	0.0923830i
$373$	−4.66294	−	18.1610i	−0.241438	−	0.940339i	−0.967533	−	0.252745i	$-0.918667\pi$
$373$	−4.66294	−	18.1610i	−0.241438	−	0.940339i	0.726095	−	0.687595i	$-0.241333\pi$
$374$	4.46858			0.231065
$375$	1.87970	−	11.0212i	0.0970674	−	0.569132i
$376$	−5.80723			−0.299485
$377$	1.60466	+	6.24973i	0.0826441	+	0.321877i
$378$	−1.68819	+	0.322040i	−0.0868314	+	0.0165640i
$379$	−8.68105	+	4.77245i	−0.445916	+	0.245144i	−0.688858	−	0.724897i	$-0.741887\pi$
$379$	−8.68105	+	4.77245i	−0.445916	+	0.245144i	0.242942	+	0.970041i	$0.421887\pi$
$380$	5.16071	−	15.1367i	0.264739	−	0.776498i
$381$	6.35404	+	13.5030i	0.325527	+	0.691781i
$382$	−5.25827	+	7.23739i	−0.269036	+	0.370297i
$383$	11.4741	+	12.2187i	0.586298	+	0.624344i	0.951893	−	0.306430i	$-0.0991345\pi$
$383$	11.4741	+	12.2187i	0.586298	+	0.624344i	−0.365595	+	0.930774i	$0.619134\pi$
$384$	−0.929776	+	0.368125i	−0.0474475	+	0.0187858i
$385$	8.57017	−	5.26698i	0.436776	−	0.268430i
$386$	5.94369	−	1.52608i	0.302526	−	0.0776755i
$387$	0.615775	−	0.509413i	0.0313016	−	0.0258949i
$388$	1.75850	+	4.44146i	0.0892742	+	0.225481i
$389$	−3.30592	−	1.30891i	−0.167617	−	0.0663643i	0.282818	−	0.959174i	$-0.408731\pi$
$389$	−3.30592	−	1.30891i	−0.167617	−	0.0663643i	−0.450435	+	0.892809i	$0.648731\pi$
$390$	3.06743	−	0.539420i	0.155326	−	0.0273146i
$391$	−2.49013	+	3.92381i	−0.125931	+	0.198436i
$392$	−1.94931	+	3.54579i	−0.0984553	+	0.179089i
$393$	−1.26509	−	1.74125i	−0.0638153	−	0.0878343i
$394$	4.05914	−	21.2788i	0.204497	−	1.07201i
$395$	−10.1945	+	20.8775i	−0.512941	+	1.05046i
$396$	1.11450	−	2.36844i	0.0560060	−	0.119019i
$397$	16.4538	+	29.9294i	0.825795	+	1.50211i	0.864368	+	0.502859i	$0.167719\pi$
$397$	16.4538	+	29.9294i	0.825795	+	1.50211i	−0.0385738	+	0.999256i	$0.512281\pi$
$398$	−4.09037	−	0.257344i	−0.205032	−	0.0128995i
$399$	9.94414	+	7.22484i	0.497830	+	0.361695i
$400$	4.80504	+	1.38260i	0.240252	+	0.0691298i
$401$	−18.8948	+	13.7279i	−0.943563	+	0.685539i	−0.949276	−	0.314445i	$-0.898182\pi$
$401$	−18.8948	+	13.7279i	−0.943563	+	0.685539i	0.00571250	+	0.999984i	$0.498182\pi$
$402$	−2.77033	+	1.75810i	−0.138171	+	0.0876862i
$403$	−1.66000	+	13.1402i	−0.0826903	+	0.654561i
$404$	14.1698	+	1.79006i	0.704975	+	0.0890590i
$405$	2.22225	−	0.248233i	0.110424	−	0.0123348i
$406$	−6.97687	−	3.83557i	−0.346256	−	0.190356i
$407$	20.4444	+	6.64278i	1.01339	+	0.329271i
$408$	−1.54468	+	0.726870i	−0.0764729	+	0.0359854i
$409$	21.7774	+	5.59148i	1.07682	+	0.276481i	0.745138	−	0.666910i	$-0.232383\pi$
$409$	21.7774	+	5.59148i	1.07682	+	0.276481i	0.331683	+	0.943391i	$0.392383\pi$
$410$	26.4597	+	9.02117i	1.30675	+	0.445524i
$411$	−7.49694	+	9.06224i	−0.369797	+	0.447007i
$412$	1.42069	+	0.901595i	0.0699922	+	0.0444184i
$413$	−24.7117	+	1.55473i	−1.21598	+	0.0765033i
$414$	1.45864	+	2.29846i	0.0716885	+	0.112963i
$415$	4.46243	+	4.89149i	0.219052	+	0.240114i
$416$	0.0874576	+	1.39010i	0.00428796	+	0.0681552i
$417$	−2.27307	−	0.433610i	−0.111313	−	0.0212340i
$418$	−17.8045	+	5.78503i	−0.870846	+	0.282955i
$419$	8.83866	−	8.30006i	0.431797	−	0.405484i	−0.437937	−	0.899006i	$-0.644291\pi$
$419$	8.83866	−	8.30006i	0.431797	−	0.405484i	0.869734	+	0.493521i	$0.164291\pi$
$420$	−2.10575	+	3.21471i	−0.102750	+	0.156862i
$421$	6.84817	+	35.8994i	0.333759	+	1.74963i	0.613633	+	0.789591i	$0.289707\pi$
$421$	6.84817	+	35.8994i	0.333759	+	1.74963i	−0.279874	+	0.960037i	$0.590293\pi$
$422$	4.26218	−	4.53877i	0.207480	−	0.220944i
$423$	−2.13778	+	5.39942i	−0.103943	+	0.262529i
$424$	4.40222	+	13.5487i	0.213791	+	0.657981i
$425$	8.33496	+	1.84058i	0.404305	+	0.0892812i
$426$	−0.715137	+	2.20097i	−0.0346485	+	0.106637i
$427$	10.3835	+	8.59002i	0.502495	+	0.415700i
$428$	10.8502	+	5.10574i	0.524466	+	0.246795i
$429$	−2.65772	−	2.49577i	−0.128316	−	0.120497i
$430$	0.137915	−	1.78168i	0.00665085	−	0.0859202i
$431$	−34.4699	+	4.35456i	−1.66036	+	0.209752i	−0.898804	−	0.438351i	$-0.855563\pi$
$431$	−34.4699	+	4.35456i	−1.66036	+	0.209752i	−0.761553	+	0.648103i	$0.775563\pi$
$432$			1.00000i			0.0481125i
$433$	4.02948	+	31.8966i	0.193645	+	1.53285i	0.726807	+	0.686842i	$0.241003\pi$
$433$	4.02948	+	31.8966i	0.193645	+	1.53285i	−0.533163	+	0.846013i	$0.678997\pi$
$434$	−10.4172	−	12.5922i	−0.500040	−	0.604445i
$435$	8.66520	+	5.67603i	0.415464	+	0.272145i
$436$	−0.276962	+	4.40219i	−0.0132641	+	0.210827i
$437$	4.84182	−	18.8577i	0.231616	−	0.902084i
$438$	3.34582	−	13.0311i	0.159869	−	0.622650i
$439$	0.622338	−	9.89179i	0.0297026	−	0.472109i	−0.954858	−	0.297063i	$-0.903993\pi$
$439$	0.622338	−	9.89179i	0.0297026	−	0.472109i	0.984560	−	0.175046i	$-0.0560073\pi$
$440$	−2.07595	−	5.47254i	−0.0989670	−	0.260893i
$441$	2.57920	+	3.11772i	0.122819	+	0.148463i
$442$	0.298018	+	2.35905i	0.0141753	+	0.112209i
$443$		−	27.0540i		−	1.28537i	−0.766129	−	0.642687i	$-0.777820\pi$
$443$		−	27.0540i		−	1.28537i	0.766129	−	0.642687i	$-0.222180\pi$
$444$	−8.14765	+	1.02929i	−0.386670	+	0.0488478i
$445$	−24.9570	+	6.02561i	−1.18307	+	0.285641i
$446$	−1.52592	−	1.43293i	−0.0722543	−	0.0678513i
$447$	−19.4030	−	9.13038i	−0.917732	−	0.431852i
$448$	−1.32423	−	1.09550i	−0.0625641	−	0.0517575i
$449$	3.30130	−	10.1604i	0.155798	−	0.479497i	−0.842443	−	0.538786i	$-0.818883\pi$
$449$	3.30130	−	10.1604i	0.155798	−	0.479497i	0.998241	+	0.0592885i	$0.0188832\pi$
$450$	3.05436	−	3.95865i	0.143984	−	0.186612i
$451$	−10.1125	−	31.1231i	−0.476179	−	1.46553i
$452$	−2.35202	+	5.94053i	−0.110630	+	0.279419i
$453$	4.82977	−	5.14319i	0.226923	−	0.241648i
$454$	2.31310	+	12.1257i	0.108559	+	0.569088i
$455$	3.35211	+	4.17310i	0.157149	+	0.195638i
$456$	5.21356	−	4.89586i	0.244147	−	0.229270i
$457$	−35.8087	+	11.6350i	−1.67506	+	0.544260i	−0.983943	−	0.178482i	$-0.942881\pi$
$457$	−35.8087	+	11.6350i	−1.67506	+	0.544260i	−0.691117	+	0.722742i	$0.742881\pi$
$458$	2.07933	+	0.396653i	0.0971607	+	0.0185344i
$459$	0.107193	+	1.70378i	0.00500334	+	0.0795258i
$460$	5.96221	+	1.22672i	0.277989	+	0.0571959i
$461$	8.16303	+	12.8629i	0.380190	+	0.599084i	0.979503	−	0.201431i	$-0.0645592\pi$
$461$	8.16303	+	12.8629i	0.380190	+	0.599084i	−0.599312	+	0.800515i	$0.704559\pi$
$462$	4.48976	−	0.282472i	0.208883	−	0.0131418i
$463$	−18.4647	−	11.7181i	−0.858128	−	0.544585i	0.0324194	−	0.999474i	$-0.489679\pi$
$463$	−18.4647	−	11.7181i	−0.858128	−	0.544585i	−0.890548	+	0.454889i	$0.849679\pi$
$464$	−2.95290	+	3.56945i	−0.137085	+	0.165707i
$465$	12.2486	+	17.3805i	0.568017	+	0.806001i
$466$	10.0408	+	2.57804i	0.465132	+	0.119426i
$467$	−3.91562	+	1.84255i	−0.181193	+	0.0852631i	−0.514236	−	0.857649i	$-0.671925\pi$
$467$	−3.91562	+	1.84255i	−0.181193	+	0.0852631i	0.333043	+	0.942912i	$0.391925\pi$
$468$	1.32468	+	0.430414i	0.0612332	+	0.0198959i
$469$	−4.94151	−	2.71662i	−0.228178	−	0.125442i
$470$	5.35888	+	11.8280i	0.247187	+	0.545586i
$471$	1.43079	+	0.180751i	0.0659275	+	0.00832858i
$472$	−1.80569	+	14.2935i	−0.0831136	+	0.657912i
$473$	−1.76624	+	1.12089i	−0.0812119	+	0.0515386i
$474$	−8.40598	+	6.10730i	−0.386100	+	0.280518i
$475$	−35.5924	+	3.45689i	−1.63309	+	0.158613i
$476$	−2.37363	−	1.72455i	−0.108795	−	0.0790445i
$477$	14.2178	+	0.894507i	0.650988	+	0.0409567i
$478$	−8.04219	−	14.6287i	−0.367841	−	0.669100i
$479$	−8.86277	+	18.8343i	−0.404950	+	0.860563i	0.593496	+	0.804837i	$0.297747\pi$
$479$	−8.86277	+	18.8343i	−0.404950	+	0.860563i	−0.998446	+	0.0557261i	$0.982253\pi$
$480$	1.60778	+	1.55404i	0.0733848	+	0.0709319i
$481$	−2.14338	+	11.2360i	−0.0977299	+	0.512318i
$482$	12.2811	+	16.9035i	0.559389	+	0.769933i
$483$	−2.25390	+	4.09982i	−0.102556	+	0.186548i
$484$	2.22280	−	3.50257i	0.101036	−	0.159208i
$485$	7.42351	−	7.68022i	0.337084	−	0.348741i
$486$	0.929776	+	0.368125i	0.0421755	+	0.0166985i
$487$	−6.17720	−	15.6018i	−0.279916	−	0.706986i	−0.999915	−	0.0130118i	$-0.995858\pi$
$487$	−6.17720	−	15.6018i	−0.279916	−	0.706986i	0.720000	−	0.693974i	$-0.244142\pi$
$488$	6.04174	−	4.99816i	0.273497	−	0.226256i
$489$	2.92186	−	0.750205i	0.132131	−	0.0339255i
$490$	9.02079	+	0.698276i	0.407518	+	0.0315449i
$491$	31.2429	−	12.3699i	1.40997	−	0.558248i	0.464975	−	0.885324i	$-0.346063\pi$
$491$	31.2429	−	12.3699i	1.40997	−	0.558248i	0.944998	+	0.327076i	$0.106063\pi$
$492$	8.55819	+	9.11355i	0.385833	+	0.410871i
$493$	−4.64849	+	6.39809i	−0.209357	+	0.288156i
$494$	−4.24144	−	9.01353i	−0.190832	−	0.405538i
$495$	−5.85244	−	0.0844065i	−0.263048	−	0.00379379i
$496$	−8.33285	+	4.58102i	−0.374156	+	0.205694i
$497$	−3.90688	+	0.745277i	−0.175247	+	0.0334302i
$498$	0.736390	+	2.86805i	0.0329984	+	0.128520i
$499$	34.2551			1.53347			0.766735	−	0.641964i	$-0.221880\pi$
$499$	34.2551			1.53347			0.766735	+	0.641964i	$0.221880\pi$
$500$	−1.61803	−	11.0626i	−0.0723606	−	0.494736i
$501$	−18.0177			−0.804974
$502$	1.59773	+	6.22273i	0.0713100	+	0.277734i
$503$	−9.48267	+	1.80892i	−0.422811	+	0.0806556i	−0.394396	−	0.918941i	$-0.629046\pi$
$503$	−9.48267	+	1.80892i	−0.422811	+	0.0806556i	−0.0284155	+	0.999596i	$0.509046\pi$
$504$	−1.50605	+	0.827959i	−0.0670849	+	0.0368802i
$505$	−9.42989	−	30.5126i	−0.419624	−	1.35779i
$506$	−3.03394	−	6.44745i	−0.134875	−	0.286624i
$507$	−6.50089	+	8.94771i	−0.288715	+	0.397382i
$508$	10.2157	+	10.8786i	0.453249	+	0.482661i
$509$	−6.70510	+	2.65474i	−0.297198	+	0.117669i	−0.511992	−	0.858990i	$-0.671092\pi$
$509$	−6.70510	+	2.65474i	−0.297198	+	0.117669i	0.214793	+	0.976659i	$0.431092\pi$
$510$	2.90589	+	2.47541i	0.128675	+	0.109613i
$511$	22.3957	−	5.75024i	0.990728	−	0.254376i
$512$	−0.770513	+	0.637424i	−0.0340522	+	0.0281704i
$513$	−2.63282	−	6.64973i	−0.116242	−	0.293593i
$514$	−4.17551	−	1.65320i	−0.184174	−	0.0729195i
$515$	0.525343	−	3.72561i	0.0231494	−	0.164170i
$516$	0.428219	−	0.674765i	0.0188513	−	0.0297049i
$517$	7.32304	−	13.3206i	0.322067	−	0.585837i
$518$	−8.29608	−	11.4186i	−0.364509	−	0.501704i
$519$	1.44252	−	7.56197i	0.0633197	−	0.331934i
$520$	2.75061	−	1.46091i	0.120622	−	0.0640651i
$521$	2.47375	−	5.25699i	0.108377	−	0.230313i	−0.843281	−	0.537473i	$-0.819379\pi$
$521$	2.47375	−	5.25699i	0.108377	−	0.230313i	0.951658	+	0.307160i	$0.0993788\pi$
$522$	2.23175	+	4.05954i	0.0976811	+	0.177681i
$523$	−29.5460	−	1.85888i	−1.29196	−	0.0812831i	−0.598116	−	0.801410i	$-0.704084\pi$
$523$	−29.5460	−	1.85888i	−1.29196	−	0.0812831i	−0.693843	+	0.720127i	$0.744084\pi$
$524$	−1.74125	−	1.26509i	−0.0760667	−	0.0552657i
$525$	8.49082	+	1.32243i	0.370570	+	0.0577154i
$526$	21.2549	−	15.4426i	0.926756	−	0.673327i
$527$	−13.7063	+	8.69829i	−0.597056	+	0.378904i
$528$	0.328068	−	2.59692i	0.0142773	−	0.113017i
$529$	−15.4665	−	1.95388i	−0.672458	−	0.0849512i
$530$	23.5332	−	21.4690i	1.02222	−	0.932552i
$531$	12.6250	+	6.94068i	0.547880	+	0.301200i
$532$	11.6900	+	3.79832i	0.506828	+	0.164678i
$533$	15.7561	−	7.41424i	0.682471	−	0.321147i
$534$	−11.1211	−	2.85541i	−0.481256	−	0.123566i
$535$	0.386681	−	26.8110i	0.0167177	−	1.15914i
$536$	−2.09145	+	2.52813i	−0.0903371	+	0.109199i
$537$	7.67210	+	4.86886i	0.331075	+	0.210107i
$538$	−5.96833	+	0.375495i	−0.257313	+	0.0161888i
$539$	−5.67517	−	8.94263i	−0.244447	−	0.385186i
$540$	2.03677	−	0.922795i	0.0876488	−	0.0397108i
$541$	0.157160	+	2.49799i	0.00675684	+	0.107397i	0.999959	−	0.00900109i	$-0.00286517\pi$
$541$	0.157160	+	2.49799i	0.00675684	+	0.107397i	−0.993203	+	0.116398i	$0.962865\pi$
$542$	−16.9639	−	3.23604i	−0.728663	−	0.139000i
$543$	−13.3994	+	4.35371i	−0.575021	+	0.186836i
$544$	−1.24446	+	1.16863i	−0.0533558	+	0.0501044i
$545$	9.22185	−	3.49821i	0.395021	−	0.149847i
$546$	0.448553	+	2.35140i	0.0191963	+	0.100631i
$547$	−9.12543	+	9.71760i	−0.390175	+	0.415495i	−0.893827	−	0.448412i	$-0.851990\pi$
$547$	−9.12543	+	9.71760i	−0.390175	+	0.415495i	0.503651	+	0.863907i	$0.331990\pi$
$548$	−4.32963	+	10.9354i	−0.184952	+	0.467136i
$549$	−2.42306	−	7.45741i	−0.103414	−	0.318275i
$550$	−9.23064	+	9.27827i	−0.393596	+	0.395627i
$551$	10.2383	−	31.5103i	0.436167	−	1.34238i
$552$	2.09752	+	1.73522i	0.0892762	+	0.0738557i
$553$	−16.1577	−	7.60325i	−0.687097	−	0.323323i
$554$	−9.55258	−	8.97047i	−0.405850	−	0.381119i
$555$	9.61504	+	15.6451i	0.408136	+	0.664097i
$556$	−2.29581	+	0.290028i	−0.0973639	+	0.0122999i
$557$		−	27.4932i		−	1.16493i	−0.812857	−	0.582463i	$-0.802089\pi$
$557$		−	27.4932i		−	1.16493i	0.812857	−	0.582463i	$-0.197911\pi$
$558$	1.19180	+	9.43407i	0.0504529	+	0.399376i
$559$	−0.709535	−	0.857680i	−0.0300101	−	0.0362760i
$560$	−1.00929	+	3.70808i	−0.0426503	+	0.156695i
$561$	0.280584	−	4.45976i	0.0118463	−	0.188291i
$562$	3.31462	−	12.9096i	0.139819	−	0.544558i
$563$	−3.30615	+	12.8766i	−0.139338	+	0.542684i	0.860130	+	0.510074i	$0.170382\pi$
$563$	−3.30615	+	12.8766i	−0.139338	+	0.542684i	−0.999468	+	0.0326103i	$0.989618\pi$
$564$	−0.364639	+	5.79577i	−0.0153541	+	0.244046i
$565$	14.2700	−	0.691355i	0.600342	−	0.0290855i
$566$	2.01839	+	2.43982i	0.0848394	+	0.102553i
$567$	0.215402	+	1.70508i	0.00904604	+	0.0716068i
$568$			2.31423i			0.0971031i
$569$	1.05123	−	0.132801i	0.0440699	−	0.00556732i	−0.103267	−	0.994654i	$-0.532930\pi$
$569$	1.05123	−	0.132801i	0.0440699	−	0.00556732i	0.147337	+	0.989086i	$0.452930\pi$
$570$	−14.7828	−	6.10097i	−0.619184	−	0.255542i
$571$	18.7692	+	17.6255i	0.785468	+	0.737603i	0.969440	−	0.245328i	$-0.0788956\pi$
$571$	18.7692	+	17.6255i	0.785468	+	0.737603i	−0.183972	+	0.982931i	$0.558896\pi$
$572$	−3.29888	−	1.55233i	−0.137933	−	0.0649064i
$573$	6.89294	+	5.70233i	0.287957	+	0.238218i
$574$	−6.63965	+	20.4347i	−0.277134	+	0.852930i
$575$	−3.00335	−	13.2757i	−0.125248	−	0.553634i
$576$	0.309017	+	0.951057i	0.0128757	+	0.0396274i
$577$	−1.70468	+	4.30553i	−0.0709668	+	0.179242i	−0.960931	−	0.276790i	$-0.910729\pi$
$577$	−1.70468	+	4.30553i	−0.0709668	+	0.179242i	0.889964	+	0.456031i	$0.150729\pi$
$578$	9.64228	−	10.2680i	0.401066	−	0.427092i
$579$	−1.14986	−	6.02779i	−0.0477866	−	0.250506i
$580$	9.99508	+	2.72053i	0.415023	+	0.112964i
$581$	−3.70973	+	3.48367i	−0.153906	+	0.144527i
$582$	4.54311	−	1.47615i	0.188318	−	0.0611882i
$583$	−36.6290	−	6.98736i	−1.51702	−	0.289387i
$584$	−0.844769	−	13.4272i	−0.0349568	−	0.555623i
$585$	−0.345750	−	3.09525i	−0.0142950	−	0.127973i
$586$	−10.2072	−	16.0839i	−0.421654	−	0.664420i
$587$	−3.27003	+	0.205733i	−0.134968	+	0.00849150i	−0.130131	−	0.991497i	$-0.541540\pi$
$587$	−3.27003	+	0.205733i	−0.134968	+	0.00849150i	−0.00483743	+	0.999988i	$0.501540\pi$
$588$	3.41639	+	2.16811i	0.140890	+	0.0894114i
$589$	43.3502	−	52.4014i	1.78621	−	2.15916i
$590$	30.7789	−	9.51220i	1.26715	−	0.391611i
$591$	−20.9819	−	5.38724i	−0.863080	−	0.221601i
$592$	−7.43081	+	3.49667i	−0.305404	+	0.143712i
$593$	−16.2639	−	5.28446i	−0.667878	−	0.217007i	−0.0445973	−	0.999005i	$-0.514200\pi$
$593$	−16.2639	−	5.28446i	−0.667878	−	0.217007i	−0.623280	+	0.781998i	$0.714200\pi$
$594$	−2.29379	−	1.26102i	−0.0941153	−	0.0517403i
$595$	−1.32213	+	6.42596i	−0.0542022	+	0.263439i
$596$	−21.2748	−	2.68764i	−0.871451	−	0.110090i
$597$	−0.513673	+	4.06614i	−0.0210232	+	0.166416i
$598$	3.20140	−	2.03167i	0.130915	−	0.0830811i
$599$	−38.8215	+	28.2054i	−1.58620	+	1.15244i	−0.677083	+	0.735907i	$0.736756\pi$
$599$	−38.8215	+	28.2054i	−1.58620	+	1.15244i	−0.909119	+	0.416537i	$0.863244\pi$
$600$	1.68158	−	4.70875i	0.0686502	−	0.192234i
$601$	−20.5328	−	14.9180i	−0.837551	−	0.608516i	0.0841345	−	0.996454i	$-0.473187\pi$
$601$	−20.5328	−	14.9180i	−0.837551	−	0.608516i	−0.921685	+	0.387938i	$0.873187\pi$
$602$	1.37078	+	0.0862422i	0.0558688	+	0.00351497i
$603$	1.58068	+	2.87525i	0.0643704	+	0.117089i
$604$	3.00406	−	6.38394i	0.122233	−	0.259759i
$605$	−9.18514	−	1.29519i	−0.373429	−	0.0526568i
$606$	2.67626	−	14.0295i	0.108716	−	0.569908i
$607$	10.7097	+	14.7406i	0.434693	+	0.598303i	0.969022	−	0.246973i	$-0.0794358\pi$
$607$	10.7097	+	14.7406i	0.434693	+	0.598303i	−0.534330	+	0.845276i	$0.679436\pi$
$608$	3.44549	−	6.26732i	0.139733	−	0.254173i
$609$	−4.26608	+	6.72227i	−0.172870	+	0.272400i
$610$	−15.7554	−	7.69338i	−0.637918	−	0.311496i
$611$	7.52057	+	2.97761i	0.304250	+	0.120461i
$612$	0.628445	+	1.58727i	0.0254034	+	0.0641616i
$613$	−33.3322	+	27.5748i	−1.34628	+	1.11374i	−0.362964	+	0.931803i	$0.618235\pi$
$613$	−33.3322	+	27.5748i	−1.34628	+	1.11374i	−0.983311	+	0.181933i	$0.941765\pi$
$614$	−4.12333	+	1.05869i	−0.166404	+	0.0427253i
$615$	10.6648	−	25.8410i	0.430046	−	1.04201i
$616$	4.18273	−	1.65606i	0.168527	−	0.0667246i
$617$	24.2276	+	25.7997i	0.975365	+	1.03866i	0.999241	+	0.0389430i	$0.0123991\pi$
$617$	24.2276	+	25.7997i	0.975365	+	1.03866i	−0.0238767	+	0.999715i	$0.507601\pi$
$618$	0.989022	−	1.36127i	0.0397843	−	0.0547584i
$619$	−1.12148	−	2.38326i	−0.0450759	−	0.0957912i	0.881021	−	0.473078i	$-0.156857\pi$
$619$	−1.12148	−	2.38326i	−0.0450759	−	0.0957912i	−0.926096	+	0.377287i	$0.876857\pi$
$620$	17.0200	+	12.7448i	0.683540	+	0.511843i
$621$	2.38551	−	1.31145i	0.0957272	−	0.0526265i
$622$	−10.3977	+	1.98348i	−0.416911	+	0.0795301i
$623$	−4.90741	−	19.1131i	−0.196611	−	0.765750i
$624$	1.39285			0.0557585
$625$	−21.0390	+	13.5041i	−0.841559	+	0.540165i
$626$	10.2682			0.410400
$627$	4.65566	+	18.1326i	0.185929	+	0.724146i
$628$	1.41662	−	0.270235i	0.0565293	−	0.0107835i
$629$	−12.2857	+	6.75410i	−0.489862	+	0.269304i
$630$	3.07614	+	2.30345i	0.122557	+	0.0917717i
$631$	0.486180	+	1.03319i	0.0193545	+	0.0411305i	0.914271	−	0.405104i	$-0.132765\pi$
$631$	0.486180	+	1.03319i	0.0193545	+	0.0411305i	−0.894916	+	0.446235i	$0.852765\pi$
$632$	−6.10730	+	8.40598i	−0.242936	+	0.334372i
$633$	−4.26218	−	4.53877i	−0.169407	−	0.180400i
$634$	−24.8657	+	9.84502i	−0.987542	+	0.390996i
$635$	12.7303	−	30.8458i	0.505187	−	1.22408i
$636$	13.7983	−	3.54281i	0.547140	−	0.140482i
$637$	4.34251	−	3.59243i	0.172056	−	0.142337i
$638$	−4.46388	−	11.2745i	−0.176727	−	0.446361i
$639$	2.15172	+	0.851926i	0.0851207	+	0.0337017i
$640$	2.00931	+	0.981150i	0.0794251	+	0.0387833i
$641$	−1.58416	+	2.49624i	−0.0625705	+	0.0985954i	−0.874173	−	0.485615i	$-0.838596\pi$
$641$	−1.58416	+	2.49624i	−0.0625705	+	0.0985954i	0.811602	+	0.584210i	$0.198596\pi$
$642$	5.77695	−	10.5082i	0.227998	−	0.414727i
$643$	12.7523	+	17.5521i	0.502903	+	0.692187i	0.982702	−	0.185191i	$-0.0592905\pi$
$643$	12.7523	+	17.5521i	0.502903	+	0.692187i	−0.479799	+	0.877378i	$0.659290\pi$
$644$	−0.876668	+	4.59566i	−0.0345456	+	0.181094i
$645$	−1.76950	−	0.249515i	−0.0696741	−	0.00982466i
$646$	5.19855	−	11.0475i	0.204534	−	0.434658i
$647$	16.9008	+	30.7425i	0.664441	+	1.20861i	0.966828	+	0.255428i	$0.0822165\pi$
$647$	16.9008	+	30.7425i	0.664441	+	1.20861i	−0.302387	+	0.953185i	$0.597784\pi$
$648$	0.998027	+	0.0627905i	0.0392062	+	0.00246664i
$649$	−30.5093	−	22.1663i	−1.19759	−	0.870103i
$650$	−5.51379	−	4.25426i	−0.216269	−	0.166866i
$651$	−13.2214	+	9.60594i	−0.518189	+	0.376487i
$652$	2.54703	−	1.61639i	0.0997492	−	0.0633028i
$653$	−0.571009	+	4.52000i	−0.0223453	+	0.176881i	−0.999338	−	0.0363936i	$-0.988413\pi$
$653$	−0.571009	+	4.52000i	−0.0223453	+	0.176881i	0.976992	+	0.213275i	$0.0684130\pi$
$654$	4.37611	+	0.552832i	0.171120	+	0.0216174i
$655$	−0.969888	+	4.71395i	−0.0378967	+	0.184189i
$656$	10.9556	+	6.02287i	0.427743	+	0.235154i
$657$	−12.7953	−	4.15744i	−0.499192	−	0.162197i
$658$	−9.03064	+	4.24950i	−0.352051	+	0.165663i
$659$	14.0785	+	3.61475i	0.548421	+	0.140811i	0.512726	−	0.858552i	$-0.328636\pi$
$659$	14.0785	+	3.61475i	0.548421	+	0.140811i	0.0356947	+	0.999363i	$0.488636\pi$
$660$	−5.59209	+	1.72823i	−0.217672	+	0.0672712i
$661$	18.9104	−	22.8587i	0.735529	−	0.889102i	−0.261572	−	0.965184i	$-0.584241\pi$
$661$	18.9104	−	22.8587i	0.735529	−	0.889102i	0.997102	+	0.0760818i	$0.0242410\pi$
$662$	−26.6295	−	16.8996i	−1.03499	−	0.656822i
$663$	2.37311	−	0.149303i	0.0921640	−	0.00579847i
$664$	1.58663	+	2.50012i	0.0615730	+	0.0970235i
$665$	−3.05118	−	27.3150i	−0.118320	−	1.05923i
$666$	0.515661	+	8.19620i	0.0199815	+	0.317596i
$667$	12.3875	+	2.36305i	0.479647	+	0.0914975i
$668$	−17.1359	+	5.56779i	−0.663008	+	0.215424i
$669$	−1.52592	+	1.43293i	−0.0589954	+	0.0554004i
$670$	7.07922	+	1.92687i	0.273494	+	0.0744415i
$671$	3.84597	+	20.1613i	0.148472	+	0.778317i
$672$	−1.17649	+	1.25283i	−0.0453840	+	0.0483290i
$673$	13.7350	−	34.6908i	0.529447	−	1.33723i	−0.381371	−	0.924422i	$-0.624548\pi$
$673$	13.7350	−	34.6908i	0.529447	−	1.33723i	0.910818	−	0.412808i	$-0.135452\pi$
$674$	2.33707	+	7.19277i	0.0900207	+	0.277055i
$675$	−3.75905	−	3.29690i	−0.144686	−	0.126898i
$676$	−3.41772	+	10.5187i	−0.131451	+	0.404564i
$677$	−35.1609	−	29.0876i	−1.35134	−	1.11793i	−0.982051	−	0.188615i	$-0.939600\pi$
$677$	−35.1609	−	29.0876i	−1.35134	−	1.11793i	−0.369292	−	0.929313i	$-0.620400\pi$
$678$	5.78112	+	2.72039i	0.222023	+	0.104476i
$679$	5.98467	+	5.61997i	0.229670	+	0.215675i
$680$	3.52861	+	1.45628i	0.135316	+	0.0558459i
$681$	12.2470	−	1.54716i	0.469307	−	0.0592873i
$682$		−	24.8906i		−	0.953109i
$683$	−4.88983	−	38.7070i	−0.187104	−	1.48108i	−0.753772	−	0.657136i	$-0.771768\pi$
$683$	−4.88983	−	38.7070i	−0.187104	−	1.48108i	0.566668	−	0.823947i	$-0.308232\pi$
$684$	−4.55884	−	5.51069i	−0.174312	−	0.210706i
$685$	26.2683	−	1.27265i	1.00366	−	0.0486255i
$686$	−1.19205	+	18.9471i	−0.0455127	+	0.723403i
$687$	0.526433	−	2.05032i	0.0200847	−	0.0782246i
$688$	0.198747	−	0.774067i	0.00757714	−	0.0295110i
$689$	1.24591	−	19.8032i	0.0474655	−	0.754442i
$690$	1.59867	−	5.87341i	0.0608601	−	0.223597i
$691$	24.0438	+	29.0640i	0.914670	+	1.10565i	0.994063	+	0.108802i	$0.0347016\pi$
$691$	24.0438	+	29.0640i	0.914670	+	1.10565i	−0.0793936	+	0.996843i	$0.525298\pi$
$692$	−0.964856	−	7.63763i	−0.0366783	−	0.290339i
$693$		−	4.49864i		−	0.170889i
$694$	2.22473	−	0.281049i	0.0844495	−	0.0106685i
$695$	2.70928	+	4.40840i	0.102769	+	0.167220i
$696$	3.37699	+	3.17120i	0.128004	+	0.120204i
$697$	19.3115	+	9.08731i	0.731476	+	0.344207i
$698$	−2.52306	−	2.08726i	−0.0954994	−	0.0790040i
$699$	3.20342	−	9.85912i	0.121165	−	0.372906i
$700$	8.48390	−	1.36610i	0.320661	−	0.0516339i
$701$	−3.42102	−	10.5288i	−0.129210	−	0.397668i	0.865434	−	0.501022i	$-0.167043\pi$
$701$	−3.42102	−	10.5288i	−0.129210	−	0.397668i	−0.994645	+	0.103354i	$0.967043\pi$
$702$	0.512741	−	1.29504i	0.0193522	−	0.0488780i
$703$	40.2068	−	42.8159i	1.51643	−	1.61483i
$704$	−0.490483	−	2.57120i	−0.0184858	−	0.0969057i
$705$	12.1412	−	4.60562i	0.457263	−	0.173458i
$706$	19.3458	−	18.1670i	0.728091	−	0.683723i
$707$	23.3449	−	7.58523i	0.877977	−	0.285272i
$708$	14.1519	+	2.69962i	0.531862	+	0.101458i
$709$	−2.89327	−	45.9872i	−0.108659	−	1.72709i	−0.554680	−	0.832063i	$-0.687160\pi$
$709$	−2.89327	−	45.9872i	−0.108659	−	1.72709i	0.446021	−	0.895022i	$-0.352840\pi$
$710$	4.71357	−	2.13556i	0.176897	−	0.0801463i
$711$	5.56744	+	8.77288i	0.208795	+	0.329009i
$712$	−11.4591	+	0.720948i	−0.429450	+	0.0270187i
$713$	21.8561	+	13.8703i	0.818519	+	0.519448i
$714$	−1.87019	+	2.26067i	−0.0699899	+	0.0846033i
$715$	−0.117565	+	8.15156i	−0.00439669	+	0.304851i
$716$	8.80116	+	2.25975i	0.328915	+	0.0844510i
$717$	−15.1048	+	7.10778i	−0.564099	+	0.265445i
$718$	5.18974	+	1.68625i	0.193679	+	0.0629302i
$719$	19.3096	+	10.6156i	0.720127	+	0.395893i	0.799272	−	0.600970i	$-0.205219\pi$
$719$	19.3096	+	10.6156i	0.720127	+	0.395893i	−0.0791443	+	0.996863i	$0.525219\pi$
$720$	1.65193	−	1.50703i	0.0615637	−	0.0561636i
$721$	2.86902	+	0.362441i	0.106848	+	0.0134980i
$722$	−4.02955	+	31.8972i	−0.149964	+	1.18709i
$723$	17.6413	−	11.1955i	0.656086	−	0.416365i
$724$	−11.3982	+	8.28126i	−0.423610	+	0.307770i
$725$	−3.68231	−	22.8682i	−0.136758	−	0.849304i
$726$	−3.35609	−	2.43834i	−0.124556	−	0.0904954i
$727$	−7.45588	−	0.469084i	−0.276523	−	0.0173974i	−0.0760766	−	0.997102i	$-0.524239\pi$
$727$	−7.45588	−	0.469084i	−0.276523	−	0.0173974i	−0.200447	+	0.979705i	$0.564239\pi$
$728$	1.15322	+	2.09770i	0.0427412	+	0.0777460i
$729$	0.425779	−	0.904827i	0.0157696	−	0.0335121i
$730$	−26.5687	+	14.1112i	−0.983351	+	0.522278i
$731$	0.255647	−	1.34015i	0.00945543	−	0.0495671i
$732$	−4.60893	−	6.34365i	−0.170351	−	0.234468i
$733$	−16.1599	+	29.3947i	−0.596878	+	1.08572i	0.389469	+	0.921039i	$0.372658\pi$
$733$	−16.1599	+	29.3947i	−0.596878	+	1.08572i	−0.986347	+	0.164678i	$0.947342\pi$
$734$	15.7459	−	24.8116i	0.581191	−	0.915811i
$735$	1.26332	−	8.95915i	0.0465982	−	0.330463i
$736$	2.53107	+	1.00212i	0.0932964	+	0.0369386i
$737$	−3.16164	−	7.98539i	−0.116460	−	0.294145i
$738$	9.63294	−	7.96906i	0.354593	−	0.293345i
$739$	24.6959	−	6.34084i	0.908455	−	0.233252i	0.234580	−	0.972097i	$-0.424629\pi$
$739$	24.6959	−	6.34084i	0.908455	−	0.233252i	0.673875	+	0.738845i	$0.264629\pi$
$740$	13.9790	+	11.9082i	0.513880	+	0.437753i
$741$	−9.26206	+	3.66711i	−0.340250	+	0.134715i
$742$	16.7601	+	17.8477i	0.615283	+	0.655210i
$743$	−3.73996	+	5.14762i	−0.137206	+	0.188848i	−0.872091	−	0.489344i	$-0.837236\pi$
$743$	−3.73996	+	5.14762i	−0.137206	+	0.188848i	0.734885	+	0.678192i	$0.237236\pi$
$744$	4.04876	+	8.60405i	0.148435	+	0.315440i
$745$	14.1582	+	45.8122i	0.518716	+	1.67843i
$746$	−16.4308	+	9.03290i	−0.601574	+	0.330718i
$747$	2.90863	−	0.554851i	0.106421	−	0.0203009i
$748$	−1.11129	−	4.32819i	−0.0406328	−	0.158254i
$749$	20.6090			0.753038
$750$	−11.1424	+	0.920211i	−0.406863	+	0.0336014i
$751$	−29.8065			−1.08765			−0.543827	−	0.839197i	$-0.683025\pi$
$751$	−29.8065			−1.08765			−0.543827	+	0.839197i	$0.683025\pi$
$752$	1.44420	+	5.62478i	0.0526645	+	0.205115i
$753$	6.31078	−	1.20384i	0.229977	−	0.0438705i
$754$	5.65432	−	3.10849i	0.205918	−	0.113204i
$755$	−15.7748	−	0.227511i	−0.574103	−	0.00827996i
$756$	0.731760	+	1.55507i	0.0266138	+	0.0565573i
$757$	−18.1803	+	25.0230i	−0.660774	+	0.909478i	−0.999507	−	0.0314050i	$-0.990002\pi$
$757$	−18.1803	+	25.0230i	−0.660774	+	0.909478i	0.338733	+	0.940883i	$0.390002\pi$
$758$	6.78140	+	7.22146i	0.246312	+	0.262295i
$759$	−6.62523	+	2.62311i	−0.240481	+	0.0952130i
$760$	−15.9446	−	1.23423i	−0.578371	−	0.0447702i
$761$	−22.9923	+	5.90341i	−0.833469	+	0.213999i	−0.641229	−	0.767349i	$-0.721575\pi$
$761$	−22.9923	+	5.90341i	−0.833469	+	0.213999i	−0.192240	+	0.981348i	$0.561575\pi$
$762$	11.4986	−	9.51248i	0.416551	−	0.344601i
$763$	2.79065	+	7.04838i	0.101028	+	0.255168i
$764$	8.31769	+	3.29321i	0.300923	+	0.119144i
$765$	2.65298	−	2.74473i	0.0959189	−	0.0992357i
$766$	8.98130	−	14.1523i	0.324507	−	0.511342i
$767$	9.66731	−	17.5848i	0.349066	−	0.634949i
$768$	0.587785	+	0.809017i	0.0212099	+	0.0291929i
$769$	−7.63248	+	40.0109i	−0.275234	+	1.44283i	0.529053	+	0.848589i	$0.322547\pi$
$769$	−7.63248	+	40.0109i	−0.275234	+	1.44283i	−0.804287	+	0.594240i	$0.797453\pi$
$770$	−7.23282	−	6.99107i	−0.260653	−	0.251941i
$771$	−1.91212	+	4.06346i	−0.0688633	+	0.146342i
$772$	−2.95627	−	5.37744i	−0.106399	−	0.193538i
$773$	1.90860	+	0.120079i	0.0686474	+	0.00431893i	0.0970771	−	0.995277i	$-0.469051\pi$
$773$	1.90860	+	0.120079i	0.0686474	+	0.00431893i	−0.0284297	+	0.999596i	$0.509051\pi$
$774$	−0.646546	−	0.469743i	−0.0232396	−	0.0168846i
$775$	10.2523	−	46.4268i	0.368272	−	1.66770i
$776$	3.86460	−	2.80780i	0.138731	−	0.100794i
$777$	−11.9170	+	7.56273i	−0.427519	+	0.271312i
$778$	−0.445636	+	3.52757i	−0.0159768	+	0.126470i
$779$	−88.7087	−	11.2065i	−3.17832	−	0.401515i
$780$	−1.28531	−	2.83692i	−0.0460216	−	0.101578i
$781$	−5.30836	−	2.91830i	−0.189948	−	0.104425i
$782$	4.41981	+	1.43608i	0.158052	+	0.0513542i
$783$	4.19166	−	1.97245i	0.149798	−	0.0704895i
$784$	3.91917	+	1.00627i	0.139970	+	0.0359383i
$785$	−1.85766	−	2.63596i	−0.0663027	−	0.0940816i
$786$	−1.37193	+	1.65838i	−0.0489350	+	0.0591523i
$787$	2.23788	+	1.42020i	0.0797719	+	0.0506248i	0.575115	−	0.818073i	$-0.304957\pi$
$787$	2.23788	+	1.42020i	0.0797719	+	0.0506248i	−0.495343	+	0.868698i	$0.664957\pi$
$788$	−21.6197	+	1.36020i	−0.770171	+	0.0484551i
$789$	−14.0775	−	22.1826i	−0.501171	−	0.789720i
$790$	22.7569	+	4.68220i	0.809653	+	0.166585i
$791$	0.689485	+	10.9591i	0.0245153	+	0.389659i
$792$	−2.57120	−	0.490483i	−0.0913636	−	0.0174285i
$793$	−10.3870	+	3.37495i	−0.368854	+	0.119848i
$794$	24.8972	−	23.3801i	0.883570	−	0.829727i
$795$	−19.9489	−	24.8348i	−0.707516	−	0.880800i
$796$	0.767974	+	4.02586i	0.0272201	+	0.142693i
$797$	6.27709	−	6.68442i	0.222346	−	0.236774i	−0.608118	−	0.793847i	$-0.708075\pi$
$797$	6.27709	−	6.68442i	0.222346	−	0.236774i	0.830464	+	0.557072i	$0.188075\pi$
$798$	4.52485	−	11.4285i	0.160178	−	0.404564i
$799$	3.06354	+	9.42861i	0.108380	+	0.333560i
$800$	0.144194	−	4.99792i	0.00509804	−	0.176703i
$801$	−3.54807	+	10.9198i	−0.125365	+	0.385834i
$802$	17.9956	+	14.8872i	0.635446	+	0.525686i
$803$	31.8645	+	14.9943i	1.12447	+	0.529137i
$804$	2.39182	+	2.24607i	0.0843531	+	0.0792128i
$805$	10.1693	−	2.45527i	0.358421	−	0.0865371i
$806$	13.1402	−	1.66000i	0.462845	−	0.0584709i
$807$			5.98013i			0.210510i
$808$	−1.79006	−	14.1698i	−0.0629743	−	0.498493i
$809$	−25.4357	−	30.7465i	−0.894272	−	1.08099i	−0.996277	−	0.0862053i	$-0.972526\pi$
$809$	−25.4357	−	30.7465i	−0.894272	−	1.08099i	0.102005	−	0.994784i	$-0.467474\pi$
$810$	−0.793084	−	2.09070i	−0.0278661	−	0.0734596i
$811$	1.36007	−	21.6177i	0.0477585	−	0.759099i	−0.899159	−	0.437622i	$-0.855821\pi$
$811$	1.36007	−	21.6177i	0.0477585	−	0.759099i	0.946917	−	0.321477i	$-0.104179\pi$
$812$	−1.97999	+	7.71155i	−0.0694840	+	0.270622i
$813$	−4.29483	+	16.7273i	−0.150626	+	0.586651i
$814$	1.34978	−	21.4541i	0.0473096	−	0.751965i
$815$	−5.64261	−	3.69612i	−0.197652	−	0.129469i
$816$	1.08818	+	1.31538i	0.0380939	+	0.0460476i
$817$	0.716364	+	5.67060i	0.0250624	+	0.198389i
$818$		−	22.4837i		−	0.786125i
$819$	2.37492	−	0.300022i	0.0829865	−	0.0104836i
$820$	2.15749	−	27.8719i	0.0753428	−	0.973329i
$821$	2.94514	+	2.76567i	0.102786	+	0.0965226i	0.734237	−	0.678893i	$-0.237540\pi$
$821$	2.94514	+	2.76567i	0.102786	+	0.0965226i	−0.631451	+	0.775416i	$0.717540\pi$
$822$	10.6419	+	5.00772i	0.371181	+	0.174664i
$823$	5.33763	+	4.41567i	0.186058	+	0.153921i	0.725790	−	0.687916i	$-0.241474\pi$
$823$	5.33763	+	4.41567i	0.186058	+	0.153921i	−0.539732	+	0.841837i	$0.681474\pi$
$824$	0.519959	−	1.60027i	0.0181136	−	0.0557481i
$825$	8.68036	+	9.79502i	0.302211	+	0.341019i
$826$	7.65144	+	23.5487i	0.266228	+	0.819365i
$827$	1.99336	−	5.03466i	0.0693161	−	0.175072i	−0.890989	−	0.454026i	$-0.849987\pi$
$827$	1.99336	−	5.03466i	0.0693161	−	0.175072i	0.960305	+	0.278953i	$0.0899874\pi$
$828$	1.86350	−	1.98442i	0.0647610	−	0.0689634i
$829$	−0.387953	−	2.03372i	−0.0134742	−	0.0706340i	0.974915	−	0.222577i	$-0.0714469\pi$
$829$	−0.387953	−	2.03372i	−0.0134742	−	0.0706340i	−0.988389	+	0.151943i	$0.951447\pi$
$830$	3.62805	−	5.53870i	0.125932	−	0.192251i
$831$	−9.55258	+	8.97047i	−0.331375	+	0.311182i
$832$	1.32468	−	0.430414i	0.0459249	−	0.0149219i
$833$	6.78528	+	1.29436i	0.235096	+	0.0448470i
$834$	0.145301	+	2.30949i	0.00503135	+	0.0799710i
$835$	27.1533	+	29.7640i	0.939677	+	1.03003i
$836$	10.0311	+	15.8064i	0.346932	+	0.546677i
$837$	9.49029	−	0.597078i	0.328032	−	0.0206380i
$838$	−10.2374	−	6.49684i	−0.353645	−	0.224430i
$839$	−28.2982	+	34.2067i	−0.976963	+	1.18095i	0.00652587	+	0.999979i	$0.497923\pi$
$839$	−28.2982	+	34.2067i	−0.976963	+	1.18095i	−0.983489	+	0.180967i	$0.942077\pi$
$840$	3.63739	+	1.24013i	0.125502	+	0.0427886i
$841$	−7.30255	−	1.87498i	−0.251812	−	0.0646544i
$842$	33.0685	−	15.5608i	1.13961	−	0.536262i
$843$	−12.6760	−	4.11868i	−0.436584	−	0.141855i
$844$	−5.45613	−	2.99954i	−0.187808	−	0.103248i
$845$	24.5780	−	2.74545i	0.845509	−	0.0944462i
$846$	5.76144	+	0.727839i	0.198082	+	0.0250236i
$847$	0.893566	−	7.07330i	0.0307033	−	0.243041i
$848$	12.0282	−	7.63333i	0.413050	−	0.262130i
$849$	2.56174	−	1.86121i	0.0879187	−	0.0638766i
$850$	−0.290066	−	8.53083i	−0.00994918	−	0.292605i
$851$	18.0864	+	13.1406i	0.619995	+	0.450453i
$852$	2.30967	+	0.145312i	0.0791279	+	0.00497830i
$853$	−6.63709	−	12.0728i	−0.227250	−	0.413365i	0.737959	−	0.674845i	$-0.235790\pi$
$853$	−6.63709	−	12.0728i	−0.227250	−	0.413365i	−0.965209	+	0.261480i	$0.915790\pi$
$854$	5.73786	−	12.1936i	0.196346	−	0.417256i
$855$	−7.01715	+	14.3706i	−0.239982	+	0.491463i
$856$	2.24698	−	11.7791i	0.0768004	−	0.402602i
$857$	15.3099	+	21.0723i	0.522977	+	0.719816i	0.986040	−	0.166510i	$-0.0532496\pi$
$857$	15.3099	+	21.0723i	0.522977	+	0.719816i	−0.463063	+	0.886325i	$0.653250\pi$
$858$	−1.75641	+	3.19490i	−0.0599628	+	0.109072i
$859$	11.2430	−	17.7161i	0.383605	−	0.604464i	−0.596579	−	0.802554i	$-0.703474\pi$
$859$	11.2430	−	17.7161i	0.383605	−	0.604464i	0.980184	+	0.198090i	$0.0634738\pi$
$860$	−1.76000	+	0.309503i	−0.0600156	+	0.0105540i
$861$	19.9775	+	7.90966i	0.680832	+	0.269560i
$862$	12.7901	+	32.3040i	0.435632	+	1.10028i
$863$	−39.8186	+	32.9408i	−1.35544	+	1.12132i	−0.374453	+	0.927246i	$0.622169\pi$
$863$	−39.8186	+	32.9408i	−1.35544	+	1.12132i	−0.980987	+	0.194071i	$0.937831\pi$
$864$	0.968583	−	0.248690i	0.0329519	−	0.00846060i
$865$	−14.6658	+	9.01316i	−0.498651	+	0.306457i
$866$	29.8925	−	11.8353i	1.01579	−	0.402178i
$867$	−9.64228	−	10.2680i	−0.327469	−	0.348719i
$868$	−9.60594	+	13.2214i	−0.326047	+	0.448765i
$869$	−11.5801	−	24.6090i	−0.392828	−	0.834803i
$870$	3.34276	−	9.80453i	0.113330	−	0.332405i
$871$	4.00479	−	2.20165i	0.135697	−	0.0746001i
$872$	4.33277	−	0.826519i	0.146726	−	0.0279895i
$873$	−1.18797	−	4.62683i	−0.0402067	−	0.156595i
$874$	−19.4693			−0.658560
$875$	−10.6113	−	16.0192i	−0.358729	−	0.541546i
$876$	−13.4538			−0.454561
$877$	5.24164	+	20.4148i	0.176997	+	0.689360i	0.993678	+	0.112269i	$0.0358119\pi$
$877$	5.24164	+	20.4148i	0.176997	+	0.689360i	−0.816680	+	0.577090i	$0.804188\pi$
$878$	−9.73579	+	1.85720i	−0.328567	+	0.0626775i
$879$	−16.6931	+	9.17709i	−0.563043	+	0.309536i
$880$	−4.78434	+	3.37169i	−0.161280	+	0.113660i
$881$	7.02597	+	14.9309i	0.236711	+	0.503036i	0.987522	−	0.157481i	$-0.0503372\pi$
$881$	7.02597	+	14.9309i	0.236711	+	0.503036i	−0.750811	+	0.660517i	$0.770337\pi$
$882$	2.37835	−	3.27352i	0.0800832	−	0.110225i
$883$	−11.4795	−	12.2244i	−0.386314	−	0.411383i	0.506190	−	0.862422i	$-0.331054\pi$
$883$	−11.4795	−	12.2244i	−0.386314	−	0.411383i	−0.892504	+	0.451039i	$0.851054\pi$
$884$	2.21082	−	0.875328i	0.0743581	−	0.0294404i
$885$	−7.56080	−	31.3155i	−0.254154	−	1.05266i
$886$	−26.2040	+	6.72805i	−0.880342	+	0.226033i
$887$	18.5296	−	15.3290i	0.622163	−	0.514698i	−0.272083	−	0.962274i	$-0.587712\pi$
$887$	18.5296	−	15.3290i	0.622163	−	0.514698i	0.894246	+	0.447575i	$0.147712\pi$
$888$	3.02319	+	7.63570i	0.101452	+	0.256237i
$889$	23.8467	+	9.44157i	0.799792	+	0.316660i
$890$	12.0429	+	22.6744i	0.403677	+	0.760048i
$891$	−1.40256	+	2.21008i	−0.0469876	+	0.0740406i
$892$	−1.00843	+	1.83433i	−0.0337649	+	0.0614181i
$893$	−24.4126	−	33.6010i	−0.816935	−	1.12441i
$894$	−4.01819	+	21.0641i	−0.134388	+	0.704488i
$895$	−3.51906	−	20.0113i	−0.117629	−	0.668903i
$896$	−0.731760	+	1.55507i	−0.0244464	+	0.0519512i
$897$	−1.82664	−	3.32265i	−0.0609898	−	0.110940i
$898$	−10.6622	−	0.670806i	−0.355801	−	0.0223851i
$899$	35.6382	+	25.8927i	1.18860	+	0.863569i
$900$	−4.59387	−	1.97393i	−0.153129	−	0.0657975i
$901$	19.6752	−	14.2949i	0.655477	−	0.476232i
$902$	−27.6304	+	17.5348i	−0.919992	+	0.583845i
$903$	0.172144	−	1.36266i	0.00572859	−	0.0453465i
$904$	6.33882	+	0.800780i	0.210826	+	0.0266335i
$905$	27.3852	+	15.5736i	0.910316	+	0.517684i
$906$	−6.18272	−	3.39898i	−0.205407	−	0.112923i
$907$	−56.7777	−	18.4482i	−1.88527	−	0.612562i	−0.983665	−	0.180010i	$-0.942387\pi$
$907$	−56.7777	−	18.4482i	−1.88527	−	0.612562i	−0.901609	−	0.432553i	$-0.857613\pi$
$908$	11.1695	−	5.25598i	0.370673	−	0.174426i
$909$	−13.8337	−	3.55190i	−0.458836	−	0.117809i
$910$	3.20836	−	4.28460i	0.106356	−	0.142033i
$911$	36.9940	−	44.7180i	1.22566	−	1.48157i	0.400876	−	0.916132i	$-0.368706\pi$
$911$	36.9940	−	44.7180i	1.22566	−	1.48157i	0.824788	−	0.565442i	$-0.191294\pi$
$912$	−6.03861	−	3.83222i	−0.199958	−	0.126897i
$913$	−7.73552	+	0.486678i	−0.256008	+	0.0161067i
$914$	20.1747	+	31.7902i	0.667319	+	1.05153i
$915$	−8.66749	+	15.2412i	−0.286538	+	0.503860i
$916$	−0.132917	−	2.11265i	−0.00439169	−	0.0698038i
$917$	−3.63350	−	0.693127i	−0.119989	−	0.0228891i
$918$	1.62360	−	0.527539i	0.0535867	−	0.0174114i
$919$	13.4973	−	12.6748i	0.445234	−	0.418102i	−0.429228	−	0.903196i	$-0.641214\pi$
$919$	13.4973	−	12.6748i	0.445234	−	0.418102i	0.874462	+	0.485094i	$0.161214\pi$
$920$	−0.294564	−	6.07996i	−0.00971148	−	0.200450i
$921$	0.797696	+	4.18167i	0.0262850	+	0.137791i
$922$	10.4287	−	11.1054i	0.343451	−	0.365738i
$923$	1.18660	−	2.99702i	0.0390575	−	0.0986480i
$924$	−1.39016	−	4.27846i	−0.0457328	−	0.140751i
$925$	11.3544	−	39.4609i	0.373332	−	1.29747i
$926$	−6.75794	+	20.7988i	−0.222080	+	0.683491i
$927$	−1.29648	−	1.07254i	−0.0425821	−	0.0352270i
$928$	4.19166	+	1.97245i	0.137598	+	0.0647487i
$929$	−12.0292	−	11.2962i	−0.394665	−	0.370615i	0.461656	−	0.887059i	$-0.347255\pi$
$929$	−12.0292	−	11.2962i	−0.394665	−	0.370615i	−0.856321	+	0.516444i	$0.827255\pi$
$930$	13.7883	−	16.1862i	0.452137	−	0.530766i
$931$	−28.7107	+	3.62701i	−0.940957	+	0.118870i
$932$		−	10.3665i		−	0.339566i
$933$	1.32668	+	10.5018i	0.0434336	+	0.343812i
$934$	2.75844	+	3.33438i	0.0902589	+	0.109104i
$935$	−7.79006	+	6.25748i	−0.254762	+	0.204642i
$936$	0.0874576	−	1.39010i	0.00285864	−	0.0454368i
$937$	−9.16434	+	35.6928i	−0.299386	+	1.16603i	0.623771	+	0.781608i	$0.285600\pi$
$937$	−9.16434	+	35.6928i	−0.299386	+	1.16603i	−0.923157	+	0.384424i	$0.874400\pi$
$938$	−1.40237	+	5.46186i	−0.0457890	+	0.178336i
$939$	0.644746	−	10.2480i	0.0210405	−	0.334429i
$940$	10.1237	−	8.13203i	0.330199	−	0.265238i
$941$	16.0774	+	19.4343i	0.524109	+	0.633539i	0.964442	−	0.264296i	$-0.0851396\pi$
$941$	16.0774	+	19.4343i	0.524109	+	0.633539i	−0.440333	+	0.897835i	$0.645140\pi$
$942$	−0.180751	−	1.43079i	−0.00588919	−	0.0466178i
$943$		−	34.0333i		−	1.10828i
$944$	14.2935	−	1.80569i	0.465214	−	0.0587702i
$945$	2.49206	−	2.92544i	0.0810667	−	0.0951646i
$946$	1.52492	+	1.43200i	0.0495795	+	0.0465583i
$947$	−5.15963	−	2.42794i	−0.167665	−	0.0788973i	0.340115	−	0.940384i	$-0.389534\pi$
$947$	−5.15963	−	2.42794i	−0.167665	−	0.0788973i	−0.507781	+	0.861486i	$0.669534\pi$
$948$	8.00592	+	6.62307i	0.260020	+	0.215107i
$949$	−5.79069	+	17.8219i	−0.187974	+	0.578523i
$950$	12.1998	+	33.6145i	0.395812	+	1.09060i
$951$	8.26426	+	25.4348i	0.267987	+	0.824779i
$952$	−1.08007	+	2.72794i	−0.0350052	+	0.0884130i
$953$	6.41708	−	6.83349i	0.207869	−	0.221359i	−0.616583	−	0.787290i	$-0.711483\pi$
$953$	6.41708	−	6.83349i	0.207869	−	0.221359i	0.824452	+	0.565932i	$0.191483\pi$
$954$	−2.66941	−	13.9936i	−0.0864255	−	0.453058i
$955$	−0.968007	−	19.9802i	−0.0313240	−	0.646544i
$956$	−12.1691	+	11.4275i	−0.393576	+	0.369593i
$957$	−11.5325	+	3.74714i	−0.372794	+	0.121128i
$958$	20.4467	+	3.90042i	0.660603	+	0.126017i
$959$	1.26921	+	20.1735i	0.0409849	+	0.651437i
$960$	1.10538	−	1.94374i	0.0356760	−	0.0627340i
$961$	31.8399	+	50.1717i	1.02709	+	1.61844i
$962$	11.4161	−	0.718237i	0.368068	−	0.0231569i
$963$	−10.1248	−	6.42537i	−0.326266	−	0.207055i
$964$	13.3183	−	16.0990i	0.428952	−	0.518514i
$965$	−8.22460	+	10.9835i	−0.264759	+	0.353573i
$966$	4.53154	+	1.16350i	0.145800	+	0.0374351i
$967$	−35.2933	+	16.6078i	−1.13496	+	0.534069i	−0.899111	−	0.437721i	$-0.855786\pi$
$967$	−35.2933	+	16.6078i	−1.13496	+	0.534069i	−0.235845	+	0.971791i	$0.575786\pi$
$968$	−3.94532	−	1.28191i	−0.126807	−	0.0412022i
$969$	−10.6993	−	5.88197i	−0.343710	−	0.188956i
$970$	−9.28508	−	5.28030i	−0.298126	−	0.169540i
$971$	23.0433	+	2.91105i	0.739496	+	0.0934200i	0.486052	−	0.873930i	$-0.338437\pi$
$971$	23.0433	+	2.91105i	0.739496	+	0.0934200i	0.253444	+	0.967350i	$0.418437\pi$
$972$	0.125333	−	0.992115i	0.00402007	−	0.0318221i
$973$	−3.35791	+	2.13099i	−0.107650	+	0.0683165i
$974$	−13.5755	+	9.86315i	−0.434986	+	0.316036i
$975$	−4.59208	+	5.23578i	−0.147064	+	0.167679i
$976$	−6.34365	−	4.60893i	−0.203055	−	0.147528i
$977$	−27.6717	−	1.74096i	−0.885298	−	0.0556982i	−0.386372	−	0.922343i	$-0.626272\pi$
$977$	−27.6717	−	1.74096i	−0.885298	−	0.0556982i	−0.498926	+	0.866645i	$0.666272\pi$
$978$	−1.45327	−	2.64349i	−0.0464705	−	0.0845296i
$979$	12.7965	−	27.1940i	0.408979	−	0.869124i
$980$	−1.56704	−	8.91104i	−0.0500573	−	0.284653i
$981$	0.826519	−	4.33277i	0.0263887	−	0.138335i
$982$	−19.7511	−	27.1851i	−0.630283	−	0.867511i
$983$	−11.4791	+	20.8804i	−0.366127	+	0.665982i	−0.993637	−	0.112626i	$-0.964074\pi$
$983$	−11.4791	+	20.8804i	−0.366127	+	0.665982i	0.627511	+	0.778608i	$0.284074\pi$
$984$	6.69890	−	10.5558i	0.213553	−	0.336506i
$985$	22.7210	+	42.7793i	0.723951	+	1.36306i
$986$	7.35312	+	2.91131i	0.234171	+	0.0927149i
$987$	3.67407	+	9.27965i	0.116947	+	0.295374i
$988$	−7.67555	+	6.34976i	−0.244192	+	0.202013i
$989$	−2.10719	+	0.541034i	−0.0670047	+	0.0172039i
$990$	1.37369	+	5.68957i	0.0436587	+	0.180826i
$991$	44.3813	−	17.5718i	1.40982	−	0.558186i	0.464862	−	0.885383i	$-0.346104\pi$
$991$	44.3813	−	17.5718i	1.40982	−	0.558186i	0.944956	+	0.327197i	$0.106104\pi$
$992$	6.50939	+	6.93180i	0.206673	+	0.220085i
$993$	−18.5383	+	25.5158i	−0.588296	+	0.809721i
$994$	1.69346	+	3.59879i	0.0537134	+	0.114147i
$995$	7.49109	−	5.27924i	0.237484	−	0.167363i
$996$	2.59481	−	1.42651i	0.0822198	−	0.0452007i
$997$	−17.2028	+	3.28162i	−0.544820	+	0.103930i	−0.452441	−	0.891794i	$-0.649447\pi$
$997$	−17.2028	+	3.28162i	−0.544820	+	0.103930i	−0.0923782	+	0.995724i	$0.529447\pi$
$998$	−8.51890	−	33.1789i	−0.269661	−	1.05026i
$999$	8.21241			0.259829

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	750.2.o.a.229.5	✓	240
125.119	even	50	inner	750.2.o.a.619.5	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
750.2.o.a.229.5	✓	240	1.1	even	1	trivial
750.2.o.a.619.5	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} +(1.78988 + 1.34028i) q^{5} +(0.425779 + 0.904827i) q^{6} +(-1.01019 + 1.39041i) q^{7} +(0.684547 + 0.728969i) q^{8} +(0.929776 - 0.368125i) q^{9} +(0.853048 - 2.06696i) q^{10} +(-2.53533 + 0.650962i) q^{11} +(0.770513 - 0.637424i) q^{12} +(-0.512741 - 1.29504i) q^{13} +(1.59795 + 0.632672i) q^{14} +(-2.00931 - 0.981150i) q^{15} +(0.535827 - 0.844328i) q^{16} +(0.822427 - 1.49599i) q^{17} +(-0.587785 - 0.809017i) q^{18} +(-1.34015 + 7.02529i) q^{19} +(-2.21416 - 0.312216i) q^{20} +(0.731760 - 1.55507i) q^{21} +(1.26102 + 2.29379i) q^{22} +(-2.71686 - 0.170930i) q^{23} +(-0.809017 - 0.587785i) q^{24} +(1.40731 + 4.79786i) q^{25} +(-1.12684 + 0.818695i) q^{26} +(-0.844328 + 0.535827i) q^{27} +(0.215402 - 1.70508i) q^{28} +(-4.59603 - 0.580613i) q^{29} +(-0.450629 + 2.19019i) q^{30} +(-8.33285 - 4.58102i) q^{31} +(-0.951057 - 0.309017i) q^{32} +(2.36844 - 1.11450i) q^{33} +(-1.65352 - 0.424552i) q^{34} +(-3.67164 + 1.13472i) q^{35} +(-0.637424 + 0.770513i) q^{36} +(-6.93396 - 4.40043i) q^{37} +(7.13786 - 0.449076i) q^{38} +(0.746325 + 1.17602i) q^{39} +(0.248233 + 2.22225i) q^{40} +(0.785006 + 12.4773i) q^{41} +(-1.68819 - 0.322040i) q^{42} +(0.760060 - 0.246959i) q^{43} +(1.90812 - 1.79185i) q^{44} +(2.15757 + 0.587263i) q^{45} +(0.510095 + 2.67401i) q^{46} +(-3.97532 + 4.23329i) q^{47} +(-0.368125 + 0.929776i) q^{48} +(1.25037 + 3.84825i) q^{49} +(4.29715 - 2.55627i) q^{50} +(-0.527539 + 1.62360i) q^{51} +(1.07321 + 0.887834i) q^{52} +(12.8901 + 6.06561i) q^{53} +(0.728969 + 0.684547i) q^{54} +(-5.41039 - 2.23291i) q^{55} +(-1.70508 + 0.215402i) q^{56} -7.15197i q^{57} +(0.580613 + 4.59603i) q^{58} +(9.18344 + 11.1009i) q^{59} +(2.23345 - 0.108207i) q^{60} +(0.492352 - 7.82571i) q^{61} +(-2.36481 + 9.21031i) q^{62} +(-0.427407 + 1.66464i) q^{63} +(-0.0627905 + 0.998027i) q^{64} +(0.817967 - 3.00517i) q^{65} +(-1.66850 - 2.01687i) q^{66} +(0.411231 + 3.25523i) q^{67} +1.70715i q^{68} +(2.70077 - 0.341186i) q^{69} +(2.01217 + 3.27410i) q^{70} +(1.68700 + 1.58420i) q^{71} +(0.904827 + 0.425779i) q^{72} +(-10.3663 - 8.57576i) q^{73} +(-2.53777 + 7.81046i) q^{74} +(-2.28141 - 4.44918i) q^{75} +(-2.21008 - 6.80193i) q^{76} +(1.65606 - 4.18273i) q^{77} +(0.953470 - 1.01534i) q^{78} +(1.94696 + 10.2063i) q^{79} +(2.09070 - 0.793084i) q^{80} +(0.728969 - 0.684547i) q^{81} +(11.8901 - 3.86332i) q^{82} +(2.90863 + 0.554851i) q^{83} +(0.107914 + 1.71525i) q^{84} +(3.47708 - 1.57535i) q^{85} +(-0.428219 - 0.674765i) q^{86} +(4.62342 - 0.290881i) q^{87} +(-2.21008 - 1.40256i) q^{88} +(-7.31877 + 8.84688i) q^{89} +(0.0322462 - 2.23584i) q^{90} +(2.31859 + 0.595313i) q^{91} +(2.46315 - 1.15907i) q^{92} +(9.04365 + 2.93846i) q^{93} +(5.08891 + 2.79765i) q^{94} +(-11.8145 + 10.7782i) q^{95} +(0.992115 + 0.125333i) q^{96} +(0.598706 - 4.73924i) q^{97} +(3.41639 - 2.16811i) q^{98} +(-2.11765 + 1.53857i) 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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