LMFDB - Embedded newform 750.2.m.d.31.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [750,2,Mod(31,750)] 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, 24])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("750.31"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 750 = 2 \cdot 3 \cdot 5^{3} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	750.m (of order $25$, degree $20$, minimal)

Newform invariants

comment:select newform

sage:traces = [140,0,0,0,-20,0,5,0,0,20] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(10)] == traces)

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

Self dual:	no
Analytic conductor:	$5.98878015160$
Analytic rank:	$0$
Dimension:	$140$
Relative dimension:	$7$ over $\Q(\zeta_{25})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{25}]$

Embedding invariants

Embedding label			31.1
Character	$\chi$	$=$	750.31
Dual form			750.2.m.d.121.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.0627905 - 0.998027i) q^{2} +(-0.425779 - 0.904827i) q^{3} +(-0.992115 + 0.125333i) q^{4} +(-2.16028 + 0.577210i) q^{5} +(-0.876307 + 0.481754i) q^{6} +(2.54596 - 1.84975i) q^{7} +(0.187381 + 0.982287i) q^{8} +(-0.637424 + 0.770513i) q^{9} +(0.711716 + 2.11978i) q^{10} +(-0.285048 - 4.53071i) q^{11} +(0.535827 + 0.844328i) q^{12} +(2.76075 - 3.33717i) q^{13} +(-2.00596 - 2.42479i) q^{14} +(1.44208 + 1.70892i) q^{15} +(0.968583 - 0.248690i) q^{16} +(-2.93169 - 0.370359i) q^{17} +(0.809017 + 0.587785i) q^{18} +(-2.63697 + 5.60384i) q^{19} +(2.07091 - 0.843414i) q^{20} +(-2.75772 - 1.51607i) q^{21} +(-4.50387 + 0.568971i) q^{22} +(-4.15870 + 1.64655i) q^{23} +(0.809017 - 0.587785i) q^{24} +(4.33366 - 2.49387i) q^{25} +(-3.50393 - 2.54576i) q^{26} +(0.968583 + 0.248690i) q^{27} +(-2.29405 + 2.15425i) q^{28} +(1.22798 - 1.15315i) q^{29} +(1.61500 - 1.54654i) q^{30} +(-10.4674 - 1.32234i) q^{31} +(-0.309017 - 0.951057i) q^{32} +(-3.97814 + 2.18700i) q^{33} +(-0.185546 + 2.94916i) q^{34} +(-4.43230 + 5.46553i) q^{35} +(0.535827 - 0.844328i) q^{36} +(-1.99430 + 0.512048i) q^{37} +(5.75836 + 2.27990i) q^{38} +(-4.19503 - 1.07710i) q^{39} +(-0.971783 - 2.01386i) q^{40} +(-9.13489 - 3.61676i) q^{41} +(-1.33992 + 2.84747i) q^{42} +(0.914935 - 2.81588i) q^{43} +(0.850648 + 4.45925i) q^{44} +(0.932269 - 2.03246i) q^{45} +(1.90442 + 4.04710i) q^{46} +(-1.44970 + 7.59961i) q^{47} +(-0.637424 - 0.770513i) q^{48} +(0.897220 - 2.76136i) q^{49} +(-2.76107 - 4.16851i) q^{50} +(0.913143 + 2.81037i) q^{51} +(-2.32072 + 3.65687i) q^{52} +(-0.155874 - 0.0856922i) q^{53} +(0.187381 - 0.982287i) q^{54} +(3.23095 + 9.62308i) q^{55} +(2.29405 + 2.15425i) q^{56} +6.19328 q^{57} +(-1.22798 - 1.15315i) q^{58} +(-0.740385 - 1.16666i) q^{59} +(-1.64489 - 1.51470i) q^{60} +(6.79975 - 2.69221i) q^{61} +(-0.662478 + 10.5298i) q^{62} +(-0.197600 + 3.14077i) q^{63} +(-0.929776 + 0.368125i) q^{64} +(-4.03775 + 8.80277i) q^{65} +(2.43247 + 3.83297i) q^{66} +(1.21840 + 1.14415i) q^{67} +2.95499 q^{68} +(3.26053 + 3.06184i) q^{69} +(5.73305 + 4.08037i) q^{70} +(2.33296 - 12.2298i) q^{71} +(-0.876307 - 0.481754i) q^{72} +(5.06714 - 7.98453i) q^{73} +(0.636261 + 1.95821i) q^{74} +(-4.10171 - 2.85937i) q^{75} +(1.91383 - 5.89016i) q^{76} +(-9.10638 - 11.0077i) q^{77} +(-0.811567 + 4.25439i) q^{78} +(-1.75650 - 3.73276i) q^{79} +(-1.94887 + 1.09632i) q^{80} +(-0.187381 - 0.982287i) q^{81} +(-3.03604 + 9.34396i) q^{82} +(-5.42353 + 11.5256i) q^{83} +(2.92599 + 1.15848i) q^{84} +(6.54706 - 0.892121i) q^{85} +(-2.86777 - 0.736319i) q^{86} +(-1.56625 - 0.620121i) q^{87} +(4.39704 - 1.12897i) q^{88} +(6.10451 - 9.61917i) q^{89} +(-2.08698 - 0.802811i) q^{90} +(0.855827 - 13.6030i) q^{91} +(3.91954 - 2.15478i) q^{92} +(3.26032 + 10.0342i) q^{93} +(7.67564 + 0.969659i) q^{94} +(2.46201 - 13.6280i) q^{95} +(-0.728969 + 0.684547i) q^{96} +(-4.09125 + 3.84194i) q^{97} +(-2.81225 - 0.722063i) q^{98} +(3.67267 + 2.66835i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 140 q - 20 q^{5} + 5 q^{7} + 20 q^{10} + 5 q^{11} - 10 q^{13} + 20 q^{14} - 5 q^{17} + 35 q^{18} - 5 q^{19} - 5 q^{23} + 35 q^{24} - 40 q^{25} - 10 q^{26} + 25 q^{29} + 5 q^{30} + 30 q^{31} + 35 q^{32}+ \cdots - 10 q^{99}+O(q^{100}) $ 140 * q - 20 * q^5 + 5 * q^7 + 20 * q^10 + 5 * q^11 - 10 * q^13 + 20 * q^14 - 5 * q^17 + 35 * q^18 - 5 * q^19 - 5 * q^23 + 35 * q^24 - 40 * q^25 - 10 * q^26 + 25 * q^29 + 5 * q^30 + 30 * q^31 + 35 * q^32 - 15 * q^34 - 25 * q^37 + 35 * q^38 - 10 * q^39 + 5 * q^40 + 55 * q^41 + 35 * q^43 + 25 * q^44 + 20 * q^46 + 10 * q^47 - 60 * q^49 - 5 * q^51 + 40 * q^52 + 40 * q^55 + 20 * q^57 - 25 * q^58 + 75 * q^59 + 50 * q^61 + 5 * q^62 + 5 * q^63 - 35 * q^65 + 20 * q^66 - 95 * q^67 + 20 * q^68 - 20 * q^69 + 65 * q^70 - 50 * q^71 + 20 * q^73 + 30 * q^74 + 35 * q^75 - 5 * q^76 + 15 * q^77 + 5 * q^78 + 70 * q^79 - 15 * q^82 + 25 * q^83 + 5 * q^84 - 95 * q^85 - 5 * q^86 - 5 * q^88 - 105 * q^89 - 5 * q^90 - 65 * q^91 + 55 * q^92 - 30 * q^93 - 10 * q^94 + 125 * q^95 - 5 * q^97 + 70 * q^98 - 10 * q^99

Character values

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

$n$	$127$	$251$
$\chi(n)$	$e\left(\frac{12}{25}\right)$	$1$

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 $

$2$	−0.0627905	−	0.998027i	−0.0443996	−	0.705711i
$2$	−0.0627905	−	0.998027i	−0.0443996	−	0.705711i
$3$	−0.425779	−	0.904827i	−0.245824	−	0.522402i
$3$	−0.425779	−	0.904827i	−0.245824	−	0.522402i
$4$	−0.992115	+	0.125333i	−0.496057	+	0.0626666i
$5$	−2.16028	+	0.577210i	−0.966109	+	0.258136i
$5$	−2.16028	+	0.577210i	−0.966109	+	0.258136i
$6$	−0.876307	+	0.481754i	−0.357751	+	0.196675i
$7$	2.54596	−	1.84975i	0.962282	−	0.699139i	0.00860215	−	0.999963i	$-0.497262\pi$
$7$	2.54596	−	1.84975i	0.962282	−	0.699139i	0.953680	+	0.300824i	$0.0972618\pi$
$8$	0.187381	+	0.982287i	0.0662493	+	0.347291i
$9$	−0.637424	+	0.770513i	−0.212475	+	0.256838i
$10$	0.711716	+	2.11978i	0.225064	+	0.670333i
$11$	−0.285048	−	4.53071i	−0.0859452	−	1.36606i	−0.770659	−	0.637248i	$-0.780073\pi$
$11$	−0.285048	−	4.53071i	−0.0859452	−	1.36606i	0.684714	−	0.728812i	$-0.259927\pi$
$12$	0.535827	+	0.844328i	0.154680	+	0.243736i
$13$	2.76075	−	3.33717i	0.765694	−	0.925565i	−0.233208	−	0.972427i	$-0.574922\pi$
$13$	2.76075	−	3.33717i	0.765694	−	0.925565i	0.998901	+	0.0468623i	$0.0149222\pi$
$14$	−2.00596	−	2.42479i	−0.536115	−	0.648052i
$15$	1.44208	+	1.70892i	0.372343	+	0.441241i
$16$	0.968583	−	0.248690i	0.242146	−	0.0621725i
$17$	−2.93169	−	0.370359i	−0.711040	−	0.0898252i	−0.238510	−	0.971140i	$-0.576659\pi$
$17$	−2.93169	−	0.370359i	−0.711040	−	0.0898252i	−0.472530	+	0.881315i	$0.656659\pi$
$18$	0.809017	+	0.587785i	0.190687	+	0.138542i
$19$	−2.63697	+	5.60384i	−0.604962	+	1.28561i	0.334318	+	0.942460i	$0.391494\pi$
$19$	−2.63697	+	5.60384i	−0.604962	+	1.28561i	−0.939281	+	0.343150i	$0.888506\pi$
$20$	2.07091	−	0.843414i	0.463069	−	0.188593i
$21$	−2.75772	−	1.51607i	−0.601783	−	0.330833i
$22$	−4.50387	+	0.568971i	−0.960228	+	0.121305i
$23$	−4.15870	+	1.64655i	−0.867149	+	0.343328i	−0.759223	−	0.650831i	$-0.774421\pi$
$23$	−4.15870	+	1.64655i	−0.867149	+	0.343328i	−0.107926	+	0.994159i	$0.534421\pi$
$24$	0.809017	−	0.587785i	0.165140	−	0.119981i
$25$	4.33366	−	2.49387i	0.866732	−	0.498775i
$26$	−3.50393	−	2.54576i	−0.687178	−	0.499264i
$27$	0.968583	+	0.248690i	0.186404	+	0.0478604i
$28$	−2.29405	+	2.15425i	−0.433534	+	0.407116i
$29$	1.22798	−	1.15315i	0.228030	−	0.214134i	−0.562107	−	0.827064i	$-0.690009\pi$
$29$	1.22798	−	1.15315i	0.228030	−	0.214134i	0.790137	+	0.612930i	$0.210009\pi$
$30$	1.61500	−	1.54654i	0.294857	−	0.282358i
$31$	−10.4674	−	1.32234i	−1.88000	−	0.237500i	−0.899915	−	0.436065i	$-0.856372\pi$
$31$	−10.4674	−	1.32234i	−1.88000	−	0.237500i	−0.980088	+	0.198565i	$0.936372\pi$
$32$	−0.309017	−	0.951057i	−0.0546270	−	0.168125i
$33$	−3.97814	+	2.18700i	−0.692505	+	0.380708i
$34$	−0.185546	+	2.94916i	−0.0318208	+	0.505777i
$35$	−4.43230	+	5.46553i	−0.749196	+	0.923843i
$36$	0.535827	−	0.844328i	0.0893045	−	0.140721i
$37$	−1.99430	+	0.512048i	−0.327860	+	0.0841802i	−0.409032	−	0.912520i	$-0.634134\pi$
$37$	−1.99430	+	0.512048i	−0.327860	+	0.0841802i	0.0811720	+	0.996700i	$0.474134\pi$
$38$	5.75836	+	2.27990i	0.934130	+	0.369848i
$39$	−4.19503	−	1.07710i	−0.671743	−	0.172474i
$40$	−0.971783	−	2.01386i	−0.153652	−	0.318419i
$41$	−9.13489	−	3.61676i	−1.42663	−	0.564843i	−0.477192	−	0.878799i	$-0.658346\pi$
$41$	−9.13489	−	3.61676i	−1.42663	−	0.564843i	−0.949438	+	0.313956i	$0.898346\pi$
$42$	−1.33992	+	2.84747i	−0.206754	+	0.439374i
$43$	0.914935	−	2.81588i	0.139526	−	0.429418i	−0.856740	−	0.515748i	$-0.827514\pi$
$43$	0.914935	−	2.81588i	0.139526	−	0.429418i	0.996267	+	0.0863303i	$0.0275140\pi$
$44$	0.850648	+	4.45925i	0.128240	+	0.672258i
$45$	0.932269	−	2.03246i	0.138975	−	0.302981i
$46$	1.90442	+	4.04710i	0.280792	+	0.596713i
$47$	−1.44970	+	7.59961i	−0.211461	+	1.10852i	0.705248	+	0.708961i	$0.250836\pi$
$47$	−1.44970	+	7.59961i	−0.211461	+	1.10852i	−0.916709	+	0.399556i	$0.869164\pi$
$48$	−0.637424	−	0.770513i	−0.0920042	−	0.111214i
$49$	0.897220	−	2.76136i	0.128174	−	0.394480i
$50$	−2.76107	−	4.16851i	−0.390474	−	0.589517i
$51$	0.913143	+	2.81037i	0.127866	+	0.393530i
$52$	−2.32072	+	3.65687i	−0.321826	+	0.507117i
$53$	−0.155874	−	0.0856922i	−0.0214109	−	0.0117707i	0.471012	−	0.882127i	$-0.343889\pi$
$53$	−0.155874	−	0.0856922i	−0.0214109	−	0.0117707i	−0.492423	+	0.870356i	$0.663889\pi$
$54$	0.187381	−	0.982287i	0.0254994	−	0.133672i
$55$	3.23095	+	9.62308i	0.435662	+	1.29758i
$56$	2.29405	+	2.15425i	0.306555	+	0.287874i
$57$	6.19328			0.820320
$58$	−1.22798	−	1.15315i	−0.161241	−	0.151416i
$59$	−0.740385	−	1.16666i	−0.0963899	−	0.151886i	0.792711	−	0.609598i	$-0.208669\pi$
$59$	−0.740385	−	1.16666i	−0.0963899	−	0.151886i	−0.889101	+	0.457712i	$0.848669\pi$
$60$	−1.64489	−	1.51470i	−0.212355	−	0.195547i
$61$	6.79975	−	2.69221i	0.870619	−	0.344702i	0.110024	−	0.993929i	$-0.464907\pi$
$61$	6.79975	−	2.69221i	0.870619	−	0.344702i	0.760595	+	0.649226i	$0.224907\pi$
$62$	−0.662478	+	10.5298i	−0.0841348	+	1.33728i
$63$	−0.197600	+	3.14077i	−0.0248953	+	0.395699i
$64$	−0.929776	+	0.368125i	−0.116222	+	0.0460156i
$65$	−4.03775	+	8.80277i	−0.500822	+	1.09185i
$66$	2.43247	+	3.83297i	0.299417	+	0.471805i
$67$	1.21840	+	1.14415i	0.148851	+	0.139780i	0.755395	−	0.655269i	$-0.227445\pi$
$67$	1.21840	+	1.14415i	0.148851	+	0.139780i	−0.606544	+	0.795050i	$0.707445\pi$
$68$	2.95499			0.358346
$69$	3.26053	+	3.06184i	0.392521	+	0.368602i
$70$	5.73305	+	4.08037i	0.685231	+	0.487698i
$71$	2.33296	−	12.2298i	0.276872	−	1.45141i	−0.523560	−	0.851989i	$-0.675396\pi$
$71$	2.33296	−	12.2298i	0.276872	−	1.45141i	0.800432	−	0.599424i	$-0.204604\pi$
$72$	−0.876307	−	0.481754i	−0.103274	−	0.0567752i
$73$	5.06714	−	7.98453i	0.593064	−	0.934519i	−0.406717	−	0.913554i	$-0.633326\pi$
$73$	5.06714	−	7.98453i	0.593064	−	0.934519i	0.999780	−	0.0209643i	$-0.00667364\pi$
$74$	0.636261	+	1.95821i	0.0739638	+	0.227637i
$75$	−4.10171	−	2.85937i	−0.473624	−	0.330172i
$76$	1.91383	−	5.89016i	0.219531	−	0.675647i
$77$	−9.10638	−	11.0077i	−1.03777	−	1.25445i
$78$	−0.811567	+	4.25439i	−0.0918919	+	0.481714i
$79$	−1.75650	−	3.73276i	−0.197622	−	0.419969i	0.781313	−	0.624139i	$-0.214550\pi$
$79$	−1.75650	−	3.73276i	−0.197622	−	0.419969i	−0.978935	+	0.204171i	$0.934550\pi$
$80$	−1.94887	+	1.09632i	−0.217890	+	0.122572i
$81$	−0.187381	−	0.982287i	−0.0208201	−	0.109143i
$82$	−3.03604	+	9.34396i	−0.335274	+	1.03187i
$83$	−5.42353	+	11.5256i	−0.595310	+	1.26510i	0.349334	+	0.936998i	$0.386408\pi$
$83$	−5.42353	+	11.5256i	−0.595310	+	1.26510i	−0.944643	+	0.328099i	$0.893592\pi$
$84$	2.92599	+	1.15848i	0.319251	+	0.126400i
$85$	6.54706	−	0.892121i	0.710129	−	0.0967641i
$86$	−2.86777	−	0.736319i	−0.309240	−	0.0793993i
$87$	−1.56625	−	0.620121i	−0.167919	−	0.0664840i
$88$	4.39704	−	1.12897i	0.468726	−	0.120348i
$89$	6.10451	−	9.61917i	0.647077	−	1.01963i	−0.349498	−	0.936937i	$-0.613648\pi$
$89$	6.10451	−	9.61917i	0.647077	−	1.01963i	0.996575	−	0.0826932i	$-0.0263522\pi$
$90$	−2.08698	−	0.802811i	−0.219987	−	0.0846237i
$91$	0.855827	−	13.6030i	0.0897151	−	1.42598i
$92$	3.91954	−	2.15478i	0.408640	−	0.224652i
$93$	3.26032	+	10.0342i	0.338079	+	1.04050i
$94$	7.67564	+	0.969659i	0.791682	+	0.100013i
$95$	2.46201	−	13.6280i	0.252597	−	1.39820i
$96$	−0.728969	+	0.684547i	−0.0744000	+	0.0698663i
$97$	−4.09125	+	3.84194i	−0.415403	+	0.390090i	−0.863874	−	0.503708i	$-0.831969\pi$
$97$	−4.09125	+	3.84194i	−0.415403	+	0.390090i	0.448471	+	0.893797i	$0.351969\pi$
$98$	−2.81225	−	0.722063i	−0.284080	−	0.0729393i
$99$	3.67267	+	2.66835i	0.369117	+	0.268179i
$100$	−3.98692	+	3.01736i	−0.398692	+	0.301736i
$101$	−0.0311918	+	0.0226622i	−0.00310370	+	0.00225497i	−0.589336	−	0.807888i	$-0.700611\pi$
$101$	−0.0311918	+	0.0226622i	−0.00310370	+	0.00225497i	0.586232	+	0.810143i	$0.300611\pi$
$102$	2.74748	−	1.08781i	0.272041	−	0.107709i
$103$	−3.05492	+	0.385926i	−0.301010	+	0.0380264i	−0.274388	−	0.961619i	$-0.588475\pi$
$103$	−3.05492	+	0.385926i	−0.301010	+	0.0380264i	−0.0266224	+	0.999646i	$0.508475\pi$
$104$	3.79537	+	2.08652i	0.372167	+	0.204601i
$105$	6.83254	+	1.68336i	0.666788	+	0.164279i
$106$	−0.0757358	+	0.160947i	−0.00735611	+	0.0156325i
$107$	−4.03510	−	2.93167i	−0.390088	−	0.283415i	0.375404	−	0.926861i	$-0.377504\pi$
$107$	−4.03510	−	2.93167i	−0.390088	−	0.283415i	−0.765492	+	0.643446i	$0.777504\pi$
$108$	−0.992115	−	0.125333i	−0.0954663	−	0.0120602i
$109$	14.9673	−	3.84295i	1.43361	−	0.368088i	0.549549	−	0.835462i	$-0.314800\pi$
$109$	14.9673	−	3.84295i	1.43361	−	0.368088i	0.884060	+	0.467374i	$0.154800\pi$
$110$	9.40122	−	3.82882i	0.896371	−	0.365063i
$111$	1.31245	+	1.58647i	0.124572	+	0.150581i
$112$	2.00596	−	2.42479i	0.189545	−	0.229121i
$113$	9.42323	+	14.8486i	0.886463	+	1.39684i	0.917676	+	0.397330i	$0.130063\pi$
$113$	9.42323	+	14.8486i	0.886463	+	1.39684i	−0.0312128	+	0.999513i	$0.509937\pi$
$114$	−0.388879	−	6.18106i	−0.0364219	−	0.578909i
$115$	8.03357	−	5.95745i	0.749134	−	0.555535i
$116$	−1.07377	+	1.29796i	−0.0996968	+	0.120513i
$117$	0.811567	+	4.25439i	0.0750294	+	0.393318i
$118$	−1.11787	+	0.812179i	−0.102908	+	0.0747672i
$119$	−8.14904	+	4.47997i	−0.747021	+	0.410678i
$120$	−1.40843	+	1.73676i	−0.128572	+	0.158543i
$121$	−9.53279	+	1.20427i	−0.866617	+	0.109479i
$122$	−3.11386	−	6.61729i	−0.281916	−	0.599101i
$123$	0.616906	+	9.80544i	0.0556245	+	0.884126i
$124$	10.5506			0.947472
$125$	−7.92244	+	7.88891i	−0.708605	+	0.705605i
$126$	3.14698			0.280355
$127$	−0.367870	−	5.84712i	−0.0326432	−	0.518848i	−0.980042	−	0.198792i	$-0.936298\pi$
$127$	−0.367870	−	5.84712i	−0.0326432	−	0.518848i	0.947399	−	0.320056i	$-0.103702\pi$
$128$	0.425779	+	0.904827i	0.0376339	+	0.0799762i
$129$	−2.93745	+	0.371086i	−0.258628	+	0.0326723i
$130$	9.03893	+	3.47706i	0.792767	+	0.304958i
$131$	11.5399	−	6.34412i	1.00825	−	0.554288i	0.110071	−	0.993924i	$-0.464892\pi$
$131$	11.5399	−	6.34412i	1.00825	−	0.554288i	0.898176	+	0.439635i	$0.144892\pi$
$132$	3.67267	−	2.66835i	0.319665	−	0.232250i
$133$	3.65208	+	19.1449i	0.316676	+	1.66007i
$134$	1.06539	−	1.28784i	0.0920357	−	0.111252i
$135$	−2.23596	+	0.0218348i	−0.192441	+	0.00187924i
$136$	−0.185546	−	2.94916i	−0.0159104	−	0.252889i
$137$	−11.9064	−	18.7615i	−1.01723	−	1.60290i	−0.774262	−	0.632865i	$-0.781879\pi$
$137$	−11.9064	−	18.7615i	−1.01723	−	1.60290i	−0.242968	−	0.970034i	$-0.578121\pi$
$138$	2.85107	−	3.44635i	0.242699	−	0.293373i
$139$	−4.60432	−	5.56567i	−0.390533	−	0.472074i	0.538203	−	0.842815i	$-0.319103\pi$
$139$	−4.60432	−	5.56567i	−0.390533	−	0.472074i	−0.928736	+	0.370742i	$0.879103\pi$
$140$	3.71234	−	5.97795i	0.313750	−	0.505229i
$141$	7.49358	−	1.92403i	0.631074	−	0.162032i
$142$	−12.3522	−	1.56044i	−1.03657	−	0.130949i
$143$	−15.9067	−	11.5569i	−1.33018	−	0.966435i
$144$	−0.425779	+	0.904827i	−0.0354816	+	0.0754023i
$145$	−1.98717	+	3.19993i	−0.165026	+	0.265740i
$146$	−8.28694	−	4.55579i	−0.685832	−	0.377040i
$147$	−2.88057	+	0.363901i	−0.237585	+	0.0300140i
$148$	1.91439	−	0.757962i	0.157362	−	0.0623041i
$149$	−6.76132	+	4.91239i	−0.553909	+	0.402438i	−0.829225	−	0.558916i	$-0.811218\pi$
$149$	−6.76132	+	4.91239i	−0.553909	+	0.402438i	0.275316	+	0.961354i	$0.411218\pi$
$150$	−2.59618	+	4.27315i	−0.211977	+	0.348902i
$151$	−14.3028	−	10.3916i	−1.16395	−	0.845659i	−0.173677	−	0.984803i	$-0.555565\pi$
$151$	−14.3028	−	10.3916i	−1.16395	−	0.845659i	−0.990272	+	0.139144i	$0.955565\pi$
$152$	−5.99870	−	1.54021i	−0.486559	−	0.124927i
$153$	2.15410	−	2.02283i	0.174148	−	0.163536i
$154$	−10.4142	+	9.77959i	−0.839201	+	0.788062i
$155$	23.3759	−	3.18526i	1.87759	−	0.255846i
$156$	4.29695	+	0.542831i	0.344031	+	0.0434613i
$157$	2.27426	+	6.99945i	0.181506	+	0.558617i	0.999871	−	0.0160818i	$-0.00511923\pi$
$157$	2.27426	+	6.99945i	0.181506	+	0.558617i	−0.818365	+	0.574699i	$0.805119\pi$
$158$	−3.61510	+	1.98742i	−0.287602	+	0.158111i
$159$	−0.0111689	+	0.177525i	−0.000885752	+	0.0140786i
$160$	1.21652	+	1.87618i	0.0961746	+	0.148325i
$161$	−7.54218	+	11.8846i	−0.594407	+	0.936636i
$162$	−0.968583	+	0.248690i	−0.0760991	+	0.0195389i
$163$	6.59750	+	2.61214i	0.516756	+	0.204598i	0.612003	−	0.790855i	$-0.290364\pi$
$163$	6.59750	+	2.61214i	0.516756	+	0.204598i	−0.0952468	+	0.995454i	$0.530364\pi$
$164$	9.51616	+	2.44333i	0.743087	+	0.190792i
$165$	7.33155	−	7.02076i	0.570761	−	0.546566i
$166$	11.8434	+	4.68913i	0.919225	+	0.363947i
$167$	10.7792	−	22.9070i	0.834121	−	1.77260i	0.234890	−	0.972022i	$-0.424527\pi$
$167$	10.7792	−	22.9070i	0.834121	−	1.77260i	0.599231	−	0.800576i	$-0.295473\pi$
$168$	0.972469	−	2.99295i	0.0750276	−	0.230911i
$169$	−1.07902	−	5.65644i	−0.0830018	−	0.435111i
$170$	−1.30145	−	6.47813i	−0.0998170	−	0.496850i
$171$	−2.63697	−	5.60384i	−0.201654	−	0.428537i
$172$	−0.554797	+	2.90835i	−0.0423029	+	0.221760i
$173$	−0.472066	−	0.570630i	−0.0358905	−	0.0433842i	0.752263	−	0.658863i	$-0.228962\pi$
$173$	−0.472066	−	0.570630i	−0.0358905	−	0.0433842i	−0.788153	+	0.615479i	$0.788962\pi$
$174$	−0.520552	+	1.60209i	−0.0394629	+	0.121454i
$175$	6.42027	−	14.3655i	0.485327	−	1.08593i
$176$	−1.40283	−	4.31748i	−0.105743	−	0.325442i
$177$	−0.740385	+	1.16666i	−0.0556508	+	0.0876916i
$178$	−9.98350	−	5.48847i	−0.748295	−	0.411379i
$179$	0.935891	−	4.90611i	0.0699518	−	0.366700i	−0.930048	−	0.367438i	$-0.880235\pi$
$179$	0.935891	−	4.90611i	0.0699518	−	0.366700i	1.00000		0.000738031i	$0.000234922\pi$
$180$	−0.670184	+	2.13327i	−0.0499526	+	0.159005i
$181$	−3.15539	−	2.96311i	−0.234539	−	0.220246i	0.558362	−	0.829597i	$-0.311430\pi$
$181$	−3.15539	−	2.96311i	−0.234539	−	0.220246i	−0.792901	+	0.609351i	$0.791430\pi$
$182$	−13.6299			−1.01031
$183$	−5.33118	−	5.00631i	−0.394092	−	0.370077i
$184$	−2.39664	−	3.77650i	−0.176683	−	0.278408i
$185$	4.01269	−	2.25730i	0.295019	−	0.165960i
$186$	9.80971	−	3.88394i	0.719283	−	0.284784i
$187$	−0.842315	+	13.3882i	−0.0615961	+	0.979043i
$188$	0.485788	−	7.72138i	0.0354297	−	0.563139i
$189$	2.92599	−	1.15848i	0.212834	−	0.0842670i
$190$	−13.7557	−	1.60144i	−0.997942	−	0.116181i
$191$	−7.07328	−	11.1457i	−0.511805	−	0.806475i	0.485912	−	0.874008i	$-0.338487\pi$
$191$	−7.07328	−	11.1457i	−0.511805	−	0.806475i	−0.997717	+	0.0675323i	$0.978487\pi$
$192$	0.728969	+	0.684547i	0.0526088	+	0.0494029i
$193$	−14.0134			−1.00871			−0.504355	−	0.863497i	$-0.668270\pi$
$193$	−14.0134			−1.00871			−0.504355	+	0.863497i	$0.668270\pi$
$194$	4.09125	+	3.84194i	0.293734	+	0.275835i
$195$	9.68418	−	0.0945686i	0.693498	−	0.00677220i
$196$	−0.544055	+	2.85204i	−0.0388611	+	0.203717i
$197$	12.4917	+	6.86740i	0.890000	+	0.489282i	0.860015	−	0.510269i	$-0.170454\pi$
$197$	12.4917	+	6.86740i	0.890000	+	0.489282i	0.0299851	+	0.999550i	$0.490454\pi$
$198$	2.43247	−	3.83297i	0.172868	−	0.272397i
$199$	4.13984	+	12.7411i	0.293465	+	0.903193i	0.983733	+	0.179639i	$0.0574928\pi$
$199$	4.13984	+	12.7411i	0.293465	+	0.903193i	−0.690268	+	0.723554i	$0.742507\pi$
$200$	3.26175	+	3.78959i	0.230640	+	0.267965i
$201$	0.516491	−	1.58960i	0.0364305	−	0.112121i
$202$	0.0245760	+	0.0297073i	0.00172916	+	0.00209020i
$203$	0.993348	−	5.20731i	0.0697194	−	0.365482i
$204$	−1.25817	−	2.67376i	−0.0880899	−	0.187200i
$205$	21.8216	+	2.54048i	1.52409	+	0.177435i
$206$	0.576984	+	3.02466i	0.0402004	+	0.210738i
$207$	1.38217	−	4.25388i	0.0960674	−	0.295665i
$208$	1.84409	−	3.91890i	0.127865	−	0.271727i
$209$	26.1410	+	10.3500i	1.80821	+	0.715922i
$210$	1.25102	−	6.92476i	0.0863283	−	0.477854i
$211$	24.1524	+	6.20128i	1.66272	+	0.426913i	0.958963	−	0.283530i	$-0.0915055\pi$
$211$	24.1524	+	6.20128i	1.66272	+	0.426913i	0.703755	+	0.710443i	$0.251505\pi$
$212$	0.165385	+	0.0654804i	0.0113587	+	0.00449721i
$213$	−12.0592	+	3.09628i	−0.826283	+	0.212153i
$214$	−2.67252	+	4.21122i	−0.182690	+	0.287873i
$215$	−0.351166	+	6.61121i	−0.0239493	+	0.450881i
$216$	−0.0627905	+	0.998027i	−0.00427235	+	0.0679071i
$217$	−29.0956	+	15.9954i	−1.97514	+	1.08584i
$218$	−4.77518	−	14.6965i	−0.323416	−	0.995371i
$219$	−9.38210	−	1.18524i	−0.633984	−	0.0800908i
$220$	−4.41157	−	9.14226i	−0.297428	−	0.616371i
$221$	−9.32961	+	8.76109i	−0.627578	+	0.589335i
$222$	1.50093	−	1.40947i	0.100736	−	0.0945975i
$223$	12.8953	+	3.31095i	0.863534	+	0.221718i	0.654381	−	0.756165i	$-0.272929\pi$
$223$	12.8953	+	3.31095i	0.863534	+	0.221718i	0.209153	+	0.977883i	$0.432929\pi$
$224$	−2.54596	−	1.84975i	−0.170109	−	0.123591i
$225$	−0.840814	+	4.92880i	−0.0560543	+	0.328586i
$226$	14.2276	−	10.3370i	0.946409	−	0.687606i
$227$	6.01906	−	2.38312i	0.399499	−	0.158173i	−0.159779	−	0.987153i	$-0.551078\pi$
$227$	6.01906	−	2.38312i	0.399499	−	0.158173i	0.559278	+	0.828980i	$0.311078\pi$
$228$	−6.14444	+	0.776223i	−0.406926	+	0.0514067i
$229$	9.05143	+	4.97607i	0.598135	+	0.328828i	0.751897	−	0.659280i	$-0.229139\pi$
$229$	9.05143	+	4.97607i	0.598135	+	0.328828i	−0.153762	+	0.988108i	$0.549139\pi$
$230$	−6.45012	−	7.64365i	−0.425309	−	0.504007i
$231$	−6.08278	+	12.9266i	−0.400217	+	0.850505i
$232$	1.36282	+	0.990149i	0.0894737	+	0.0650064i
$233$	22.8286	+	2.88393i	1.49555	+	0.188932i	0.830146	−	0.557547i	$-0.188257\pi$
$233$	22.8286	+	2.88393i	1.49555	+	0.188932i	0.665409	+	0.746479i	$0.268257\pi$
$234$	4.19503	−	1.07710i	0.274238	−	0.0704123i
$235$	−1.25480	−	17.2541i	−0.0818540	−	1.12553i
$236$	0.880768	+	1.06467i	0.0573331	+	0.0693039i
$237$	−2.62962	+	3.17867i	−0.170812	+	0.206476i
$238$	4.98281	+	7.85166i	0.322988	+	0.508947i
$239$	−0.255748	−	4.06500i	−0.0165430	−	0.262943i	−0.997601	−	0.0692280i	$-0.977946\pi$
$239$	−0.255748	−	4.06500i	−0.0165430	−	0.262943i	0.981058	−	0.193715i	$-0.0620536\pi$
$240$	1.82176	+	1.29660i	0.117594	+	0.0836952i
$241$	9.83342	−	11.8866i	0.633426	−	0.765681i	−0.351960	−	0.936015i	$-0.614485\pi$
$241$	9.83342	−	11.8866i	0.633426	−	0.765681i	0.985386	+	0.170334i	$0.0544847\pi$
$242$	1.80046	+	9.43836i	0.115738	+	0.606721i
$243$	−0.809017	+	0.587785i	−0.0518985	+	0.0377064i
$244$	−6.40871	+	3.52322i	−0.410276	+	0.225551i
$245$	−0.344367	+	6.48321i	−0.0220008	+	0.414197i
$246$	9.74735	−	1.23138i	0.621468	−	0.0785097i
$247$	11.4210	+	24.2708i	0.726700	+	1.54432i
$248$	−0.662478	−	10.5298i	−0.0420674	−	0.668642i
$249$	12.7379			0.807231
$250$	8.37080	+	7.41146i	0.529416	+	0.468742i
$251$	−3.01665			−0.190409			−0.0952046	−	0.995458i	$-0.530351\pi$
$251$	−3.01665			−0.190409			−0.0952046	+	0.995458i	$0.530351\pi$
$252$	−0.197600	−	3.14077i	−0.0124477	−	0.197850i
$253$	8.64544	+	18.3725i	0.543534	+	1.15507i
$254$	−5.81249	+	0.734288i	−0.364708	+	0.0460733i
$255$	−3.59482	−	5.54411i	−0.225116	−	0.347186i
$256$	0.876307	−	0.481754i	0.0547692	−	0.0301096i
$257$	21.8307	−	15.8609i	1.36176	−	0.989379i	0.363433	−	0.931621i	$-0.381605\pi$
$257$	21.8307	−	15.8609i	1.36176	−	0.989379i	0.998331	−	0.0577583i	$-0.0183953\pi$
$258$	0.554797	+	2.90835i	0.0345402	+	0.181066i
$259$	−4.13024	+	4.99260i	−0.256640	+	0.310225i
$260$	2.90263	−	9.23942i	0.180014	−	0.573005i
$261$	0.105773	+	1.68122i	0.00654720	+	0.104065i
$262$	−7.05620	−	11.1188i	−0.435933	−	0.686921i
$263$	−2.78358	+	3.36477i	−0.171643	+	0.207481i	−0.849319	−	0.527880i	$-0.822987\pi$
$263$	−2.78358	+	3.36477i	−0.171643	+	0.207481i	0.677676	+	0.735360i	$0.262987\pi$
$264$	−2.89369	−	3.49787i	−0.178094	−	0.215279i
$265$	0.386194	+	0.0951479i	0.0237237	+	0.00584489i
$266$	18.8778	−	4.84699i	1.15747	−	0.297188i
$267$	−11.3029	−	1.42788i	−0.691724	−	0.0873851i
$268$	−1.35219	−	0.982424i	−0.0825982	−	0.0600111i
$269$	1.33512	−	2.83727i	0.0814035	−	0.172991i	−0.859982	−	0.510325i	$-0.829525\pi$
$269$	1.33512	−	2.83727i	0.0814035	−	0.172991i	0.941385	+	0.337334i	$0.109525\pi$
$270$	0.162189	+	2.23018i	0.00987050	+	0.135724i
$271$	−21.6080	−	11.8791i	−1.31259	−	0.721603i	−0.337064	−	0.941482i	$-0.609434\pi$
$271$	−21.6080	−	11.8791i	−1.31259	−	0.721603i	−0.975527	+	0.219879i	$0.929434\pi$
$272$	−2.93169	+	0.370359i	−0.177760	+	0.0224563i
$273$	−12.6727	+	5.01749i	−0.766989	+	0.303672i
$274$	−17.9768	+	13.0609i	−1.08602	+	0.789039i
$275$	−12.5343	−	18.9237i	−0.755848	−	1.14114i
$276$	−3.61857	−	2.62904i	−0.217812	−	0.158250i
$277$	21.3553	+	5.48311i	1.28312	+	0.329448i	0.827871	−	0.560918i	$-0.189552\pi$
$277$	21.3553	+	5.48311i	1.28312	+	0.329448i	0.455245	+	0.890366i	$0.349552\pi$
$278$	−5.26558	+	4.94470i	−0.315808	+	0.296564i
$279$	7.69106	−	7.22239i	0.460452	−	0.432393i
$280$	−6.19925	−	3.32966i	−0.370476	−	0.198985i
$281$	9.00309	+	1.13735i	0.537079	+	0.0678489i	0.389194	−	0.921156i	$-0.372754\pi$
$281$	9.00309	+	1.13735i	0.537079	+	0.0678489i	0.147885	+	0.989005i	$0.452754\pi$
$282$	−2.39075	−	7.35799i	−0.142367	−	0.438162i
$283$	7.79252	−	4.28397i	0.463217	−	0.254656i	−0.233014	−	0.972473i	$-0.574859\pi$
$283$	7.79252	−	4.28397i	0.463217	−	0.254656i	0.696231	+	0.717818i	$0.254859\pi$
$284$	−0.781764	+	12.4258i	−0.0463892	+	0.737335i
$285$	−13.3792	+	3.57482i	−0.792518	+	0.211754i
$286$	−10.5353	+	16.6010i	−0.622965	+	0.981636i
$287$	−29.9471	+	7.68912i	−1.76772	+	0.453874i
$288$	0.929776	+	0.368125i	0.0547876	+	0.0216919i
$289$	−8.00826	−	2.05617i	−0.471074	−	0.120951i
$290$	3.31839	+	1.78233i	0.194863	+	0.104662i
$291$	5.21826	+	2.06605i	0.305900	+	0.121114i
$292$	−4.02645	+	8.55665i	−0.235630	+	0.500740i
$293$	−5.27280	+	16.2280i	−0.308040	+	0.948051i	0.670485	+	0.741923i	$0.266086\pi$
$293$	−5.27280	+	16.2280i	−0.308040	+	0.948051i	−0.978525	+	0.206128i	$0.933914\pi$
$294$	0.544055	+	2.85204i	0.0317299	+	0.166334i
$295$	2.27285	+	2.09296i	0.132330	+	0.121857i
$296$	−0.876672	−	1.86302i	−0.0509556	−	0.108286i
$297$	0.850648	−	4.45925i	0.0493596	−	0.258752i
$298$	5.32724	+	6.43953i	0.308599	+	0.373032i
$299$	−5.98632	+	18.4240i	−0.346198	+	1.06549i
$300$	4.42774	+	2.32274i	0.255636	+	0.134104i
$301$	−2.87928	−	8.86151i	−0.165959	−	0.510769i
$302$	−9.47304	+	14.9271i	−0.545112	+	0.858959i
$303$	0.0337862	+	0.0185741i	0.00194097	+	0.00106705i
$304$	−1.16050	+	6.08358i	−0.0665595	+	0.348917i
$305$	−13.1354	+	9.74083i	−0.752132	+	0.557758i
$306$	−2.15410	−	2.02283i	−0.123142	−	0.115638i
$307$	−31.3775			−1.79081			−0.895405	−	0.445253i	$-0.853114\pi$
$307$	−31.3775			−1.79081			−0.895405	+	0.445253i	$0.853114\pi$
$308$	10.4142	+	9.77959i	0.593405	+	0.557244i
$309$	1.64992	+	2.59985i	0.0938605	+	0.147901i
$310$	−4.64676	−	23.1297i	−0.263918	−	1.31368i
$311$	−29.5432	+	11.6970i	−1.67524	+	0.663275i	−0.997409	−	0.0719401i	$-0.977081\pi$
$311$	−29.5432	+	11.6970i	−1.67524	+	0.663275i	−0.677833	+	0.735215i	$0.737081\pi$
$312$	0.271952	−	4.32255i	0.0153963	−	0.244716i
$313$	1.53093	−	24.3335i	0.0865334	−	1.37541i	−0.680004	−	0.733209i	$-0.738022\pi$
$313$	1.53093	−	24.3335i	0.0865334	−	1.37541i	0.766537	−	0.642200i	$-0.221978\pi$
$314$	6.84284	−	2.70927i	0.386164	−	0.152893i
$315$	−1.38601	−	6.89901i	−0.0780927	−	0.388715i
$316$	2.21049	+	3.48318i	0.124350	+	0.195944i
$317$	22.8620	+	21.4688i	1.28406	+	1.20581i	0.966236	+	0.257659i	$0.0829512\pi$
$317$	22.8620	+	21.4688i	1.28406	+	1.20581i	0.317821	+	0.948151i	$0.397049\pi$
$318$	0.177876			0.00997477
$319$	−5.57461	−	5.23491i	−0.312118	−	0.293098i
$320$	1.79610	−	1.33193i	0.100405	−	0.0744571i
$321$	−0.934594	+	4.89931i	−0.0521640	+	0.273453i
$322$	12.3347	+	6.78106i	0.687386	+	0.377894i
$323$	9.80621	−	15.4521i	0.545632	−	0.859779i
$324$	0.309017	+	0.951057i	0.0171676	+	0.0528365i
$325$	3.64165	−	21.3471i	0.202002	−	1.18412i
$326$	2.19272	−	6.74850i	0.121444	−	0.373765i
$327$	−9.84998	−	11.9066i	−0.544705	−	0.658435i
$328$	1.84099	−	9.65080i	0.101652	−	0.532876i
$329$	10.3665	+	22.0299i	0.571522	+	1.21455i
$330$	−7.46726	−	6.87625i	−0.411059	−	0.378525i
$331$	−5.34196	−	28.0035i	−0.293621	−	1.53921i	−0.757215	−	0.653166i	$-0.773440\pi$
$331$	−5.34196	−	28.0035i	−0.293621	−	1.53921i	0.463594	−	0.886048i	$-0.346560\pi$
$332$	3.93622	−	12.1145i	0.216028	−	0.664867i
$333$	0.876672	−	1.86302i	0.0480414	−	0.102093i
$334$	−23.5386	−	9.31961i	−1.28798	−	0.509946i
$335$	−3.29250	−	1.76842i	−0.179889	−	0.0966192i
$336$	−3.04811	−	0.782621i	−0.166288	−	0.0426955i
$337$	−6.62080	−	2.62136i	−0.360658	−	0.142795i	0.180806	−	0.983519i	$-0.442130\pi$
$337$	−6.62080	−	2.62136i	−0.360658	−	0.142795i	−0.541463	+	0.840724i	$0.682130\pi$
$338$	−5.57753	+	1.43207i	−0.303377	+	0.0778941i
$339$	9.42323	−	14.8486i	0.511800	−	0.806467i
$340$	−6.38363	+	1.70565i	−0.346201	+	0.0925019i
$341$	−3.00743	+	47.8017i	−0.162861	+	2.58861i
$342$	−5.42721	+	2.98363i	−0.293470	+	0.161336i
$343$	3.98375	+	12.2607i	0.215103	+	0.662017i
$344$	2.93745	+	0.371086i	0.158376	+	0.0200076i
$345$	−8.81099	−	4.73243i	−0.474368	−	0.254786i
$346$	−0.539862	+	0.506964i	−0.0290232	+	0.0272546i
$347$	2.46747	−	2.31711i	0.132461	−	0.124389i	−0.615486	−	0.788148i	$-0.711040\pi$
$347$	2.46747	−	2.31711i	0.132461	−	0.124389i	0.747946	+	0.663759i	$0.231040\pi$
$348$	1.63162	+	0.418928i	0.0874639	+	0.0224569i
$349$	−15.9008	−	11.5526i	−0.851152	−	0.618398i	0.0743118	−	0.997235i	$-0.476324\pi$
$349$	−15.9008	−	11.5526i	−0.851152	−	0.618398i	−0.925463	+	0.378837i	$0.876324\pi$
$350$	−14.7403	−	5.50559i	−0.787900	−	0.294286i
$351$	3.50393	−	2.54576i	0.187026	−	0.135882i
$352$	−4.22087	+	1.67116i	−0.224973	+	0.0890732i
$353$	−13.5852	+	1.71621i	−0.723068	+	0.0913447i	−0.478249	−	0.878224i	$-0.658728\pi$
$353$	−13.5852	+	1.71621i	−0.723068	+	0.0913447i	−0.244819	+	0.969569i	$0.578728\pi$
$354$	1.21085	+	0.665669i	0.0643558	+	0.0353799i
$355$	2.01931	+	27.7665i	0.107174	+	1.47369i
$356$	−4.85077	+	10.3084i	−0.257091	+	0.546345i
$357$	7.52329	+	5.46599i	0.398175	+	0.289291i
$358$	−4.95520	−	0.625987i	−0.261890	−	0.0330844i
$359$	35.8212	−	9.19733i	1.89057	−	0.485416i	0.891070	−	0.453866i	$-0.149955\pi$
$359$	35.8212	−	9.19733i	1.89057	−	0.485416i	0.999502	−	0.0315508i	$-0.0100446\pi$
$360$	2.17114	+	0.534912i	0.114429	+	0.0281923i
$361$	−12.3384	−	14.9146i	−0.649390	−	0.784978i
$362$	−2.75914	+	3.33522i	−0.145017	+	0.175295i
$363$	5.14852	+	8.11277i	0.270227	+	0.425810i
$364$	0.855827	+	13.6030i	0.0448575	+	0.712990i
$365$	−6.33771	+	20.1737i	−0.331731	+	1.05594i
$366$	−4.66169	+	5.63501i	−0.243670	+	0.294547i
$367$	1.39663	+	7.32138i	0.0729033	+	0.382173i	0.999973	+	0.00728474i	$0.00231883\pi$
$367$	1.39663	+	7.32138i	0.0729033	+	0.382173i	−0.927070	+	0.374888i	$0.877681\pi$
$368$	−3.61857	+	2.62904i	−0.188631	+	0.137048i
$369$	8.60956	−	4.73314i	0.448196	−	0.246398i
$370$	−2.50480	−	3.86303i	−0.130218	−	0.200830i
$371$	−0.555357	+	0.0701579i	−0.0288327	+	0.00364241i
$372$	−4.49223	−	9.54647i	−0.232911	−	0.494962i
$373$	−0.876209	−	13.9269i	−0.0453684	−	0.721110i	−0.953306	−	0.302005i	$-0.902344\pi$
$373$	−0.876209	−	13.9269i	−0.0453684	−	0.721110i	0.907938	−	0.419105i	$-0.137656\pi$
$374$	13.4147			0.693656
$375$	10.5113	+	3.80951i	0.542802	+	0.196722i
$376$	−7.73664			−0.398987
$377$	−0.458115	−	7.28152i	−0.0235941	−	0.375018i
$378$	−1.33992	−	2.84747i	−0.0689179	−	0.146458i
$379$	−33.9577	+	4.28985i	−1.74429	+	0.220355i	−0.931889	−	0.362745i	$-0.881840\pi$
$379$	−33.9577	+	4.28985i	−1.74429	+	0.220355i	−0.812401	+	0.583100i	$0.801840\pi$
$380$	−0.734557	+	13.8291i	−0.0376820	+	0.709417i
$381$	−5.13401	+	2.82244i	−0.263023	+	0.144598i
$382$	−10.6796	+	7.75917i	−0.546415	+	0.396994i
$383$	6.27661	+	32.9032i	0.320720	+	1.68127i	0.668512	+	0.743701i	$0.266931\pi$
$383$	6.27661	+	32.9032i	0.320720	+	1.68127i	−0.347792	+	0.937572i	$0.613069\pi$
$384$	0.637424	−	0.770513i	0.0325284	−	0.0393201i
$385$	26.0261	+	18.5235i	1.32641	+	0.944046i
$386$	0.879911	+	13.9858i	0.0447863	+	0.711858i
$387$	1.58647	+	2.49988i	0.0806449	+	0.127076i
$388$	3.57746	−	4.32441i	0.181618	−	0.219539i
$389$	−6.94180	−	8.39120i	−0.351963	−	0.425451i	0.564585	−	0.825375i	$-0.309036\pi$
$389$	−6.94180	−	8.39120i	−0.351963	−	0.425451i	−0.916548	+	0.399925i	$0.869036\pi$
$390$	−0.702456	−	9.65913i	−0.0355703	−	0.489109i
$391$	12.8018	−	3.28695i	0.647417	−	0.166228i
$392$	2.88057	+	0.363901i	0.145491	+	0.0183798i
$393$	−10.6538	−	7.74043i	−0.537413	−	0.390453i
$394$	6.06948	−	12.8983i	0.305776	−	0.649807i
$395$	5.94914	+	7.04996i	0.299333	+	0.354722i
$396$	−3.97814	−	2.18700i	−0.199909	−	0.109901i
$397$	17.3257	−	2.18875i	0.869553	−	0.109850i	0.322119	−	0.946699i	$-0.395605\pi$
$397$	17.3257	−	2.18875i	0.869553	−	0.109850i	0.547434	+	0.836849i	$0.315605\pi$
$398$	12.4560	−	4.93169i	0.624364	−	0.247203i
$399$	15.7678	−	11.4560i	0.789378	−	0.573517i
$400$	3.57731	−	3.49326i	0.178865	−	0.174663i
$401$	−3.15445	−	2.29185i	−0.157526	−	0.114449i	0.506230	−	0.862398i	$-0.331039\pi$
$401$	−3.15445	−	2.29185i	−0.157526	−	0.114449i	−0.663756	+	0.747949i	$0.731039\pi$
$402$	−1.61889	−	0.415660i	−0.0807429	−	0.0207312i
$403$	−33.3108	+	31.2809i	−1.65933	+	1.55821i
$404$	0.0281055	−	0.0263928i	0.00139830	−	0.00131309i
$405$	0.971783	+	2.01386i	0.0482883	+	0.100070i
$406$	−5.25941	−	0.664418i	−0.261020	−	0.0329745i
$407$	2.88841	+	8.88962i	0.143173	+	0.440642i
$408$	−2.58948	+	1.42358i	−0.128198	+	0.0704777i
$409$	−1.12060	+	17.8113i	−0.0554099	+	0.880715i	0.867919	+	0.496705i	$0.165457\pi$
$409$	−1.12060	+	17.8113i	−0.0554099	+	0.880715i	−0.923329	+	0.384009i	$0.874543\pi$
$410$	1.16528	−	21.9380i	0.0575490	−	1.08344i
$411$	−11.9064	+	18.7615i	−0.587298	+	0.925434i
$412$	2.98246	−	0.765766i	0.146935	−	0.0377266i
$413$	−4.04302	−	1.60074i	−0.198944	−	0.0787674i
$414$	−4.33227	−	1.11234i	−0.212920	−	0.0546685i
$415$	5.06368	−	28.0291i	0.248566	−	1.37589i
$416$	−4.02696	−	1.59438i	−0.197438	−	0.0781711i
$417$	−3.07554	+	6.53586i	−0.150610	+	0.320062i
$418$	8.68814	−	26.7393i	0.424951	−	1.30786i
$419$	−1.04051	−	5.45454i	−0.0508322	−	0.266472i	0.947793	−	0.318886i	$-0.103309\pi$
$419$	−1.04051	−	5.45454i	−0.0508322	−	0.266472i	−0.998625	+	0.0524137i	$0.983309\pi$
$420$	−6.98965	−	0.813738i	−0.341060	−	0.0397064i
$421$	13.7765	+	29.2766i	0.671428	+	1.42686i	0.892250	+	0.451542i	$0.149126\pi$
$421$	13.7765	+	29.2766i	0.671428	+	1.42686i	−0.220822	+	0.975314i	$0.570874\pi$
$422$	4.67250	−	24.4941i	0.227454	−	1.19235i
$423$	−4.93152	−	5.96119i	−0.239779	−	0.289843i
$424$	0.0549666	−	0.169170i	0.00266941	−	0.00821561i
$425$	−13.6286	+	5.70626i	−0.661083	+	0.276794i
$426$	3.84737	+	11.8410i	0.186406	+	0.573698i
$427$	12.3320	−	19.4321i	0.596786	−	0.940384i
$428$	4.37072	+	2.40282i	0.211267	+	0.116145i
$429$	−3.68424	+	19.3135i	−0.177877	+	0.932464i
$430$	6.62022	−	0.0646482i	0.319255	−	0.00311761i
$431$	−0.694803	−	0.652463i	−0.0334675	−	0.0314280i	0.667633	−	0.744491i	$-0.267308\pi$
$431$	−0.694803	−	0.652463i	−0.0334675	−	0.0314280i	−0.701100	+	0.713063i	$0.747308\pi$
$432$	1.00000			0.0481125
$433$	−17.8780	−	16.7886i	−0.859164	−	0.806808i	0.123473	−	0.992348i	$-0.460597\pi$
$433$	−17.8780	−	16.7886i	−0.859164	−	0.806808i	−0.982637	+	0.185540i	$0.940597\pi$
$434$	17.7908	+	28.0338i	0.853986	+	1.34567i
$435$	3.74148	+	0.435585i	0.179390	+	0.0208847i
$436$	−14.3676	+	5.68855i	−0.688085	+	0.272432i
$437$	1.73938	−	27.6466i	0.0832056	−	1.32252i
$438$	−0.593789	+	9.43801i	−0.0283723	+	0.450966i
$439$	14.6797	−	5.81211i	0.700625	−	0.277397i	0.00931621	−	0.999957i	$-0.497035\pi$
$439$	14.6797	−	5.81211i	0.700625	−	0.277397i	0.691309	+	0.722560i	$0.257035\pi$
$440$	−8.84721	+	4.97691i	−0.421774	+	0.237265i
$441$	1.55575	+	2.45148i	0.0740836	+	0.116737i
$442$	9.32961	+	8.76109i	0.443764	+	0.416723i
$443$	−4.54759			−0.216062			−0.108031	−	0.994148i	$-0.534455\pi$
$443$	−4.54759			−0.216062			−0.108031	+	0.994148i	$0.534455\pi$
$444$	−1.50093	−	1.40947i	−0.0712312	−	0.0668905i
$445$	−7.63520	+	24.3037i	−0.361943	+	1.15211i
$446$	2.49472	−	13.0778i	0.118128	−	0.619250i
$447$	7.32369	+	4.02623i	0.346399	+	0.190434i
$448$	−1.68623	+	2.65708i	−0.0796671	+	0.125535i
$449$	−6.15335	−	18.9381i	−0.290395	−	0.893743i	−0.984730	−	0.174091i	$-0.944301\pi$
$449$	−6.15335	−	18.9381i	−0.290395	−	0.893743i	0.694335	−	0.719652i	$-0.255699\pi$
$450$	4.97187	+	0.529673i	0.234376	+	0.0249690i
$451$	−13.7826	+	42.4185i	−0.648997	+	1.99741i
$452$	−11.2100	−	13.5505i	−0.527272	−	0.637362i
$453$	−3.31277	+	17.3661i	−0.155647	+	0.815933i
$454$	−2.75635	−	5.85755i	−0.129362	−	0.274908i
$455$	6.00294	+	29.8803i	0.281422	+	1.40081i
$456$	1.16050	+	6.08358i	0.0543456	+	0.284890i
$457$	12.3108	−	37.8886i	0.575873	−	1.77235i	−0.0573146	−	0.998356i	$-0.518254\pi$
$457$	12.3108	−	37.8886i	0.575873	−	1.77235i	0.633188	−	0.773998i	$-0.281746\pi$
$458$	4.39790	−	9.34602i	0.205501	−	0.436711i
$459$	−2.74748	−	1.08781i	−0.128242	−	0.0507744i
$460$	−7.22356	+	6.91734i	−0.336800	+	0.322523i
$461$	16.8744	+	4.33260i	0.785918	+	0.201789i	0.620263	−	0.784394i	$-0.287026\pi$
$461$	16.8744	+	4.33260i	0.785918	+	0.201789i	0.165655	+	0.986184i	$0.447026\pi$
$462$	13.2830	+	5.25911i	0.617981	+	0.244676i
$463$	−11.3822	+	2.92246i	−0.528978	+	0.135818i	−0.503727	−	0.863863i	$-0.668038\pi$
$463$	−11.3822	+	2.92246i	−0.528978	+	0.135818i	−0.0252505	+	0.999681i	$0.508038\pi$
$464$	0.902622	−	1.42231i	0.0419032	−	0.0660289i
$465$	−12.8351	−	19.7949i	−0.595212	−	0.917966i
$466$	1.44482	−	22.9647i	0.0669298	−	1.06382i
$467$	−4.62110	+	2.54047i	−0.213839	+	0.117559i	−0.585074	−	0.810980i	$-0.698934\pi$
$467$	−4.62110	+	2.54047i	−0.213839	+	0.117559i	0.371235	+	0.928539i	$0.378934\pi$
$468$	−1.33838	−	4.11912i	−0.0618668	−	0.190406i
$469$	5.21838	+	0.659235i	0.240962	+	0.0304406i
$470$	−17.1413	+	2.33571i	−0.790667	+	0.107738i
$471$	5.36496	−	5.03803i	0.247204	−	0.232140i
$472$	1.00726	−	0.945881i	0.0463630	−	0.0435377i
$473$	−13.0187	−	3.34264i	−0.598602	−	0.153695i
$474$	3.33751	+	2.42484i	0.153297	+	0.111377i
$475$	2.54756	+	30.8614i	0.116890	+	1.41602i
$476$	7.52329	−	5.46599i	0.344829	−	0.250533i
$477$	0.165385	−	0.0654804i	0.00757244	−	0.00299814i
$478$	−4.04092	+	0.510486i	−0.184827	+	0.0233491i
$479$	19.2820	+	10.6004i	0.881018	+	0.484344i	0.856970	−	0.515367i	$-0.172344\pi$
$479$	19.2820	+	10.6004i	0.881018	+	0.484344i	0.0240484	+	0.999711i	$0.492344\pi$
$480$	1.17965	−	1.89958i	0.0538435	−	0.0867038i
$481$	−3.79696	+	8.06895i	−0.173126	+	0.367912i
$482$	−12.4806	−	9.06766i	−0.568474	−	0.413020i
$483$	13.9648	+	1.76416i	0.635420	+	0.0802722i
$484$	9.30669	−	2.38955i	0.423031	−	0.108616i
$485$	6.62066	−	10.6612i	0.300628	−	0.484100i
$486$	0.637424	+	0.770513i	0.0289141	+	0.0349512i
$487$	−20.9838	+	25.3650i	−0.950865	+	1.14940i	0.0378043	+	0.999285i	$0.487964\pi$
$487$	−20.9838	+	25.3650i	−0.950865	+	1.14940i	−0.988669	+	0.150113i	$0.952036\pi$
$488$	3.91867	+	6.17484i	0.177390	+	0.279522i
$489$	−0.445549	−	7.08179i	−0.0201484	−	0.320250i
$490$	6.49204	−	0.0633965i	0.293280	−	0.00286396i
$491$	14.4870	−	17.5117i	0.653788	−	0.790294i	−0.334581	−	0.942367i	$-0.608595\pi$
$491$	14.4870	−	17.5117i	0.653788	−	0.790294i	0.988369	+	0.152073i	$0.0485949\pi$
$492$	−1.84099	−	9.65080i	−0.0829982	−	0.435092i
$493$	−4.02713	+	2.92588i	−0.181373	+	0.131775i
$494$	23.5058	−	12.9224i	1.05758	−	0.581407i
$495$	−9.47420	−	3.64449i	−0.425834	−	0.163808i
$496$	−10.4674	+	1.32234i	−0.470001	+	0.0593749i
$497$	−16.6824	−	35.4520i	−0.748310	−	1.59024i
$498$	−0.799819	−	12.7128i	−0.0358407	−	0.569672i
$499$	−31.0952			−1.39201			−0.696006	−	0.718036i	$-0.745041\pi$
$499$	−31.0952			−1.39201			−0.696006	+	0.718036i	$0.745041\pi$
$500$	6.87123	−	8.81965i	0.307291	−	0.394427i
$501$	−25.3165			−1.13106
$502$	0.189417	+	3.01070i	0.00845409	+	0.134374i
$503$	−2.76445	−	5.87476i	−0.123261	−	0.261943i	0.833668	−	0.552267i	$-0.186237\pi$
$503$	−2.76445	−	5.87476i	−0.123261	−	0.261943i	−0.956928	+	0.290324i	$0.906237\pi$
$504$	−3.12216	+	0.394421i	−0.139072	+	0.0175689i
$505$	0.0543024	−	0.0669610i	0.00241642	−	0.00297972i
$506$	17.7934	−	9.78200i	0.791013	−	0.434863i
$507$	−4.65868	+	3.38473i	−0.206899	+	0.150321i
$508$	1.09781	+	5.75491i	0.0487074	+	0.255333i
$509$	−14.3173	+	17.3067i	−0.634604	+	0.767104i	−0.985567	−	0.169285i	$-0.945854\pi$
$509$	−14.3173	+	17.3067i	−0.634604	+	0.767104i	0.350963	+	0.936389i	$0.385854\pi$
$510$	−5.30745	+	3.93584i	−0.235018	+	0.174282i
$511$	−1.86864	−	29.7012i	−0.0826638	−	1.31390i
$512$	−0.535827	−	0.844328i	−0.0236804	−	0.0373144i
$513$	−3.94774	+	4.77200i	−0.174297	+	0.210689i
$514$	−17.2004	−	20.7917i	−0.758678	−	0.917084i
$515$	6.37673	−	2.59704i	0.280992	−	0.114439i
$516$	2.86777	−	0.736319i	0.126247	−	0.0324146i
$517$	34.8448	+	4.40192i	1.53247	+	0.193596i
$518$	5.24209	+	3.80860i	0.230324	+	0.167340i
$519$	−0.315325	+	0.670100i	−0.0138412	+	0.0294141i
$520$	−9.40345	−	2.31676i	−0.412368	−	0.101597i
$521$	5.94520	+	3.26840i	0.260464	+	0.143191i	0.606636	−	0.794980i	$-0.292519\pi$
$521$	5.94520	+	3.26840i	0.260464	+	0.143191i	−0.346172	+	0.938171i	$0.612519\pi$
$522$	1.67126	−	0.211129i	0.0731490	−	0.00924087i
$523$	6.65003	−	2.63294i	0.290786	−	0.115130i	−0.218203	−	0.975903i	$-0.570019\pi$
$523$	6.65003	−	2.63294i	0.290786	−	0.115130i	0.508989	+	0.860773i	$0.330019\pi$
$524$	−10.6538	+	7.74043i	−0.465413	+	0.338142i
$525$	−15.7319	+	0.307282i	−0.686596	+	0.0134109i
$526$	3.53291	+	2.56681i	0.154042	+	0.111918i
$527$	30.1975	+	7.75340i	1.31542	+	0.337743i
$528$	−3.30927	+	3.10761i	−0.144018	+	0.135242i
$529$	−2.18262	+	2.04961i	−0.0948964	+	0.0891136i
$530$	0.0707108	−	0.391406i	0.00307148	−	0.0170016i
$531$	1.37087	+	0.173181i	0.0594905	+	0.00751540i
$532$	−6.02277	−	18.5362i	−0.261120	−	0.803646i
$533$	−37.2889	+	20.4997i	−1.61516	+	0.887942i
$534$	−0.715353	+	11.3702i	−0.0309564	+	0.492037i
$535$	10.4092	+	4.00415i	0.450027	+	0.173114i
$536$	−0.895581	+	1.41121i	−0.0386832	+	0.0609549i
$537$	−4.83767	+	1.24210i	−0.208761	+	0.0536007i
$538$	−2.91550	−	1.15433i	−0.125696	−	0.0497667i
$539$	−12.7667	−	3.27792i	−0.549899	−	0.141190i
$540$	2.21559	−	0.301903i	0.0953440	−	0.0129918i
$541$	−0.383189	−	0.151715i	−0.0164746	−	0.00652275i	0.359873	−	0.933001i	$-0.382820\pi$
$541$	−0.383189	−	0.151715i	−0.0164746	−	0.00652275i	−0.376347	+	0.926479i	$0.622820\pi$
$542$	−10.4989	+	22.3112i	−0.450965	+	0.958350i
$543$	−1.33760	+	4.11672i	−0.0574020	+	0.176665i
$544$	0.553710	+	2.90265i	0.0237401	+	0.124450i
$545$	−30.1155	+	16.9412i	−1.29000	+	0.725679i
$546$	5.80332	+	12.3327i	0.248359	+	0.527790i
$547$	7.59811	−	39.8307i	0.324872	−	1.70304i	−0.327263	−	0.944933i	$-0.606126\pi$
$547$	7.59811	−	39.8307i	0.324872	−	1.70304i	0.652135	−	0.758103i	$-0.273874\pi$
$548$	14.1639	+	17.1212i	0.605053	+	0.731383i
$549$	−2.25994	+	6.95538i	−0.0964519	+	0.296848i
$550$	−18.0993	+	13.6978i	−0.771756	+	0.584076i
$551$	3.22392	+	9.92221i	0.137344	+	0.422700i
$552$	−2.39664	+	3.77650i	−0.102008	+	0.160739i
$553$	−11.3767	−	6.25437i	−0.483784	−	0.265963i
$554$	4.13138	−	21.6574i	0.175525	−	0.920137i
$555$	−3.75098	−	2.66968i	−0.159220	−	0.113322i
$556$	5.26558	+	4.94470i	0.223310	+	0.209702i
$557$	24.2096			1.02579			0.512896	−	0.858451i	$-0.328573\pi$
$557$	24.2096			1.02579			0.512896	+	0.858451i	$0.328573\pi$
$558$	−7.69106	−	7.22239i	−0.325589	−	0.305748i
$559$	−6.87117	−	10.8272i	−0.290620	−	0.457943i
$560$	−2.93383	+	6.39609i	−0.123977	+	0.270284i
$561$	12.4727	−	4.93827i	0.526596	−	0.208494i
$562$	0.569801	−	9.05673i	0.0240356	−	0.382035i
$563$	1.82230	−	28.9646i	0.0768007	−	1.22071i	−0.751234	−	0.660035i	$-0.770541\pi$
$563$	1.82230	−	28.9646i	0.0768007	−	1.22071i	0.828035	−	0.560676i	$-0.189459\pi$
$564$	−7.19335	+	2.84805i	−0.302895	+	0.119924i
$565$	−28.9276	−	26.6381i	−1.21700	−	1.12067i
$566$	−4.76481	−	7.50815i	−0.200280	−	0.315591i
$567$	−2.29405	−	2.15425i	−0.0963409	−	0.0904702i
$568$	12.4504			0.522405
$569$	−12.1918	−	11.4488i	−0.511106	−	0.479961i	0.385551	−	0.922687i	$-0.374011\pi$
$569$	−12.1918	−	11.4488i	−0.511106	−	0.479961i	−0.896657	+	0.442726i	$0.854011\pi$
$570$	4.40786	+	13.1284i	0.184625	+	0.549887i
$571$	8.14870	−	42.7170i	0.341012	−	1.78765i	−0.236882	−	0.971538i	$-0.576125\pi$
$571$	8.14870	−	42.7170i	0.341012	−	1.78765i	0.577894	−	0.816112i	$-0.303875\pi$
$572$	17.2297	+	9.47212i	0.720411	+	0.396049i
$573$	−7.07328	+	11.1457i	−0.295491	+	0.465619i
$574$	9.55434	+	29.4052i	0.398790	+	1.22735i
$575$	−13.9161	+	17.5068i	−0.580341	+	0.730086i
$576$	0.309017	−	0.951057i	0.0128757	−	0.0396274i
$577$	−6.23198	−	7.53317i	−0.259441	−	0.313610i	0.624669	−	0.780890i	$-0.285234\pi$
$577$	−6.23198	−	7.53317i	−0.259441	−	0.313610i	−0.884109	+	0.467280i	$0.845234\pi$
$578$	−1.54927	+	8.12157i	−0.0644412	+	0.337813i
$579$	5.96663	+	12.6797i	0.247965	+	0.526952i
$580$	1.57045	−	3.42375i	0.0652092	−	0.142164i
$581$	7.51134	+	39.3758i	0.311623	+	1.63358i
$582$	1.73432	−	5.33769i	0.0718899	−	0.221254i
$583$	−0.343815	+	0.730644i	−0.0142394	+	0.0302602i
$584$	8.79259	+	3.48123i	0.363840	+	0.144054i
$585$	−4.20889	−	8.72224i	−0.174016	−	0.360620i
$586$	16.5271	+	4.24343i	0.682727	+	0.175295i
$587$	1.15050	+	0.455516i	0.0474863	+	0.0188011i	0.391748	−	0.920073i	$-0.371871\pi$
$587$	1.15050	+	0.455516i	0.0474863	+	0.0188011i	−0.344261	+	0.938874i	$0.611871\pi$
$588$	2.81225	−	0.722063i	0.115975	−	0.0297774i
$589$	35.0124	−	55.1708i	1.44266	−	2.27327i
$590$	1.94612	−	2.39978i	0.0801204	−	0.0987975i
$591$	0.895079	−	14.2269i	0.0368186	−	0.585215i
$592$	−1.80430	+	0.991923i	−0.0741563	+	0.0407678i
$593$	3.70368	+	11.3988i	0.152092	+	0.468091i	0.997855	−	0.0654682i	$-0.0208541\pi$
$593$	3.70368	+	11.3988i	0.152092	+	0.468091i	−0.845763	+	0.533559i	$0.820854\pi$
$594$	−4.50387	−	0.568971i	−0.184796	−	0.0233452i
$595$	15.0184	−	14.3817i	0.615692	−	0.589593i
$596$	6.09232	−	5.72107i	0.249551	−	0.234344i
$597$	9.76584	−	9.17073i	0.399689	−	0.375333i
$598$	18.7635	+	4.81765i	0.767297	+	0.197008i
$599$	−22.3362	−	16.2282i	−0.912632	−	0.663066i	0.0290471	−	0.999578i	$-0.490753\pi$
$599$	−22.3362	−	16.2282i	−0.912632	−	0.663066i	−0.941679	+	0.336512i	$0.890753\pi$
$600$	2.04014	−	4.56485i	0.0832884	−	0.186359i
$601$	−4.44743	+	3.23124i	−0.181414	+	0.131805i	−0.674786	−	0.738013i	$-0.735764\pi$
$601$	−4.44743	+	3.23124i	−0.181414	+	0.131805i	0.493372	+	0.869818i	$0.335764\pi$
$602$	−8.66324	+	3.43002i	−0.353087	+	0.139797i
$603$	−1.65822	+	0.209482i	−0.0675279	+	0.00853076i
$604$	15.4925	+	8.51706i	0.630380	+	0.346554i
$605$	19.8984	−	8.10399i	0.808986	−	0.329474i
$606$	0.0164160	−	0.0348858i	0.000666855	−	0.00141714i
$607$	39.0971	+	28.4057i	1.58690	+	1.15295i	0.908199	+	0.418539i	$0.137458\pi$
$607$	39.0971	+	28.4057i	1.58690	+	1.15295i	0.678703	+	0.734413i	$0.262542\pi$
$608$	6.14444	+	0.776223i	0.249190	+	0.0314800i
$609$	−5.13467	+	1.31836i	−0.208067	+	0.0534226i
$610$	10.5464	+	12.4979i	0.427011	+	0.506024i
$611$	21.3589	+	25.8185i	0.864090	+	1.04450i
$612$	−1.88358	+	2.27686i	−0.0761393	+	0.0920367i
$613$	−5.87242	−	9.25345i	−0.237185	−	0.373743i	0.704796	−	0.709410i	$-0.251038\pi$
$613$	−5.87242	−	9.25345i	−0.237185	−	0.373743i	−0.941981	+	0.335666i	$0.891038\pi$
$614$	1.97021	+	31.3156i	0.0795112	+	1.26379i
$615$	−6.99249	−	20.8264i	−0.281964	−	0.839803i
$616$	9.10638	−	11.0077i	0.366907	−	0.443514i
$617$	6.34048	+	33.2380i	0.255258	+	1.33811i	0.846832	+	0.531860i	$0.178507\pi$
$617$	6.34048	+	33.2380i	0.255258	+	1.33811i	−0.591574	+	0.806251i	$0.701493\pi$
$618$	2.49112	−	1.80991i	0.100208	−	0.0728052i
$619$	−22.8377	+	12.5552i	−0.917927	+	0.504634i	−0.869357	−	0.494185i	$-0.835466\pi$
$619$	−22.8377	+	12.5552i	−0.917927	+	0.504634i	−0.0485701	+	0.998820i	$0.515466\pi$
$620$	−22.7923	+	6.08991i	−0.915361	+	0.244577i
$621$	−4.43752	+	0.560590i	−0.178072	+	0.0224957i
$622$	13.5289	+	28.7505i	0.542461	+	1.15279i
$623$	−2.25120	−	35.7818i	−0.0901925	−	1.43357i
$624$	−4.33110			−0.173383
$625$	12.5612	−	21.6152i	0.502447	−	0.864608i
$626$	−24.3816			−0.974484
$627$	−1.76538	−	28.0599i	−0.0705025	−	1.12061i
$628$	−3.13359	−	6.65922i	−0.125044	−	0.265732i
$629$	6.03631	−	0.762563i	0.240683	−	0.0304054i
$630$	−6.79837	+	1.81647i	−0.270853	+	0.0723697i
$631$	−4.85108	+	2.66690i	−0.193118	+	0.106168i	−0.575379	−	0.817887i	$-0.695146\pi$
$631$	−4.85108	+	2.66690i	−0.193118	+	0.106168i	0.382261	+	0.924054i	$0.375146\pi$
$632$	3.33751	−	2.42484i	0.132759	−	0.0964550i
$633$	−4.67250	−	24.4941i	−0.185715	−	0.973553i
$634$	19.9910	−	24.1649i	0.793942	−	0.959711i
$635$	4.16972	+	12.4191i	0.165470	+	0.492838i
$636$	−0.0111689	−	0.177525i	−0.000442876	−	0.00703931i
$637$	−6.73813	−	10.6176i	−0.266974	−	0.420684i
$638$	−4.87454	+	5.89231i	−0.192985	+	0.233279i
$639$	7.93615	+	9.59316i	0.313949	+	0.379500i
$640$	−1.44208	−	1.70892i	−0.0570032	−	0.0675510i
$641$	30.7197	−	7.88748i	1.21336	−	0.311537i	0.412815	−	0.910815i	$-0.364546\pi$
$641$	30.7197	−	7.88748i	1.21336	−	0.311537i	0.800541	+	0.599278i	$0.204546\pi$
$642$	4.94833	+	0.625119i	0.195295	+	0.0246715i
$643$	33.1139	+	24.0586i	1.30588	+	0.948780i	0.999995	−	0.00328734i	$-0.00104639\pi$
$643$	33.1139	+	24.0586i	1.30588	+	0.948780i	0.305889	+	0.952067i	$0.401046\pi$
$644$	5.99318	−	12.7361i	0.236164	−	0.501874i
$645$	6.13152	−	2.49717i	0.241429	−	0.0983261i
$646$	−16.0374	−	8.81662i	−0.630982	−	0.346885i
$647$	14.6895	−	1.85571i	0.577503	−	0.0729556i	0.168844	−	0.985643i	$-0.445997\pi$
$647$	14.6895	−	1.85571i	0.577503	−	0.0729556i	0.408659	+	0.912687i	$0.365997\pi$
$648$	0.929776	−	0.368125i	0.0365251	−	0.0144613i
$649$	−5.07475	+	3.68702i	−0.199201	+	0.144728i
$650$	−21.5337	−	2.29407i	−0.844619	−	0.0899808i
$651$	26.8614	+	19.5160i	1.05278	+	0.764890i
$652$	−6.87287	−	1.76465i	−0.269162	−	0.0691091i
$653$	19.2836	−	18.1085i	0.754625	−	0.708640i	−0.208402	−	0.978043i	$-0.566826\pi$
$653$	19.2836	−	18.1085i	0.754625	−	0.708640i	0.963028	+	0.269403i	$0.0868264\pi$
$654$	−11.2646	+	10.5782i	−0.440481	+	0.413639i
$655$	−21.2676	+	20.3661i	−0.830994	+	0.795768i
$656$	−9.74735	−	1.23138i	−0.380570	−	0.0480772i
$657$	2.92227	+	8.99383i	0.114009	+	0.350883i
$658$	21.3355	−	11.7293i	0.831743	−	0.457255i
$659$	1.70362	−	27.0782i	0.0663635	−	1.05482i	−0.814107	−	0.580716i	$-0.802773\pi$
$659$	1.70362	−	27.0782i	0.0663635	−	1.05482i	0.880470	−	0.474102i	$-0.157227\pi$
$660$	−6.39381	+	7.88429i	−0.248879	+	0.306896i
$661$	6.45276	−	10.1679i	0.250983	−	0.395487i	−0.695354	−	0.718668i	$-0.744752\pi$
$661$	6.45276	−	10.1679i	0.250983	−	0.395487i	0.946337	+	0.323181i	$0.104752\pi$
$662$	−27.6129	+	7.08978i	−1.07320	+	0.275552i
$663$	11.8996	+	4.71140i	0.462143	+	0.182975i
$664$	−12.3377	−	3.16778i	−0.478796	−	0.122934i
$665$	−18.9401	−	39.2504i	−0.734467	−	1.52206i
$666$	−1.91439	−	0.757962i	−0.0741813	−	0.0293704i
$667$	−3.20808	+	6.81752i	−0.124217	+	0.263975i
$668$	−7.82321	+	24.0774i	−0.302689	+	0.931582i
$669$	−2.49472	−	13.0778i	−0.0964513	−	0.505615i
$670$	−1.55819	+	3.39704i	−0.0601983	+	0.131239i
$671$	−14.1359	−	30.0403i	−0.545710	−	1.15969i
$672$	−0.589685	+	3.09124i	−0.0227476	+	0.119247i
$673$	−19.7422	−	23.8642i	−0.761006	−	0.919898i	0.237670	−	0.971346i	$-0.423616\pi$
$673$	−19.7422	−	23.8642i	−0.761006	−	0.919898i	−0.998676	+	0.0514483i	$0.983616\pi$
$674$	−2.20046	+	6.77233i	−0.0847587	+	0.260860i
$675$	4.81771	−	1.33779i	0.185434	−	0.0514915i
$676$	1.77946	+	5.47660i	0.0684406	+	0.210639i
$677$	16.2400	−	25.5902i	0.624156	−	0.983512i	−0.374265	−	0.927322i	$-0.622105\pi$
$677$	16.2400	−	25.5902i	0.624156	−	0.983512i	0.998420	−	0.0561899i	$-0.0178952\pi$
$678$	−15.4110	−	8.47228i	−0.591857	−	0.325376i
$679$	−3.30953	+	17.3492i	−0.127008	+	0.665801i
$680$	2.10312	+	6.26393i	0.0806508	+	0.240211i
$681$	−4.71910	−	4.43153i	−0.180836	−	0.169817i
$682$	47.8962			1.83404
$683$	7.48719	+	7.03094i	0.286490	+	0.269032i	0.814445	−	0.580240i	$-0.197041\pi$
$683$	7.48719	+	7.03094i	0.286490	+	0.269032i	−0.527956	+	0.849272i	$0.677041\pi$
$684$	3.31852	+	5.22916i	0.126887	+	0.199942i
$685$	36.5505	+	33.6576i	1.39652	+	1.28599i
$686$	11.9864	−	4.74575i	0.457643	−	0.181194i
$687$	0.648568	−	10.3087i	0.0247444	−	0.393301i
$688$	0.185910	−	2.95495i	0.00708774	−	0.112656i
$689$	−0.716297	+	0.283602i	−0.0272888	+	0.0108044i
$690$	−4.16985	+	9.09075i	−0.158743	+	0.346079i
$691$	−11.3826	−	17.9360i	−0.433013	−	0.682319i	0.555827	−	0.831298i	$-0.312402\pi$
$691$	−11.3826	−	17.9360i	−0.433013	−	0.682319i	−0.988840	+	0.148978i	$0.952402\pi$
$692$	0.539862	+	0.506964i	0.0205225	+	0.0192719i
$693$	14.2862			0.542689
$694$	−2.46747	−	2.31711i	−0.0936639	−	0.0879562i
$695$	13.1592	+	9.36576i	0.499157	+	0.355264i
$696$	0.315652	−	1.65470i	0.0119647	−	0.0627214i
$697$	25.4412	+	13.9864i	0.963654	+	0.529773i
$698$	−10.5314	+	16.5948i	−0.398620	+	0.628124i
$699$	−7.11051	−	21.8839i	−0.268944	−	0.827725i
$700$	−4.56918	+	15.0569i	−0.172699	+	0.569096i
$701$	−13.2387	+	40.7444i	−0.500017	+	1.53889i	0.308972	+	0.951071i	$0.400015\pi$
$701$	−13.2387	+	40.7444i	−0.500017	+	1.53889i	−0.808989	+	0.587824i	$0.799985\pi$
$702$	−2.76075	−	3.33717i	−0.104198	−	0.125953i
$703$	2.38946	−	12.5260i	0.0901202	−	0.472426i
$704$	1.93290	+	4.10761i	0.0728487	+	0.154811i
$705$	−15.0777	+	8.48181i	−0.567859	+	0.319443i
$706$	2.56585	+	13.4506i	0.0965669	+	0.506222i
$707$	−0.0374938	+	0.115394i	−0.00141010	+	0.00433983i
$708$	0.588326	−	1.25026i	0.0221106	−	0.0469875i
$709$	−3.34548	−	1.32457i	−0.125642	−	0.0497452i	0.304462	−	0.952524i	$-0.401523\pi$
$709$	−3.34548	−	1.32457i	−0.125642	−	0.0497452i	−0.430104	+	0.902779i	$0.641523\pi$
$710$	27.5849	−	3.75880i	1.03524	−	0.141065i
$711$	3.99578	+	1.02594i	0.149853	+	0.0384758i
$712$	10.5927	+	4.19393i	0.396977	+	0.157174i
$713$	45.7081	−	11.7358i	1.71178	−	0.439511i
$714$	4.98281	−	7.85166i	0.186477	−	0.293841i
$715$	41.0337	+	15.7847i	1.53457	+	0.590313i
$716$	−0.313612	+	4.98473i	−0.0117202	+	0.186288i
$717$	−3.56923	+	1.96220i	−0.133295	+	0.0732796i
$718$	−11.4284	−	35.1730i	−0.426505	−	1.31265i
$719$	−17.5312	−	2.21470i	−0.653803	−	0.0825945i	−0.208567	−	0.978008i	$-0.566880\pi$
$719$	−17.5312	−	2.21470i	−0.653803	−	0.0825945i	−0.445236	+	0.895413i	$0.646880\pi$
$720$	0.397529	−	2.20045i	0.0148150	−	0.0820058i
$721$	−7.06383	+	6.63338i	−0.263071	+	0.247040i
$722$	−14.1104	+	13.2506i	−0.525135	+	0.493135i
$723$	−14.9422	−	3.83649i	−0.555705	−	0.142681i
$724$	3.50189	+	2.54427i	0.130147	+	0.0945571i
$725$	2.44583	−	8.05977i	0.0908358	−	0.299332i
$726$	7.77349	−	5.64777i	0.288501	−	0.209608i
$727$	−44.1479	+	17.4794i	−1.63736	+	0.648275i	−0.993179	−	0.116602i	$-0.962800\pi$
$727$	−44.1479	+	17.4794i	−1.63736	+	0.648275i	−0.644177	+	0.764876i	$0.722800\pi$
$728$	13.5224	−	1.70828i	0.501174	−	0.0633129i
$729$	0.876307	+	0.481754i	0.0324558	+	0.0178427i
$730$	20.5318	+	5.05849i	0.759916	+	0.187223i
$731$	−3.72520	+	7.91644i	−0.137781	+	0.292800i
$732$	5.91660	+	4.29866i	0.218684	+	0.158883i
$733$	33.8546	+	4.27684i	1.25045	+	0.157969i	0.722538	−	0.691331i	$-0.242975\pi$
$733$	33.8546	+	4.27684i	1.25045	+	0.157969i	0.527911	+	0.849299i	$0.322975\pi$
$734$	7.21923	−	1.85358i	0.266467	−	0.0684170i
$735$	6.01281	−	2.44882i	0.221786	−	0.0903262i
$736$	2.85107	+	3.44635i	0.105092	+	0.127034i
$737$	4.83651	−	5.84634i	0.178155	−	0.215353i
$738$	−5.26440	−	8.29537i	−0.193785	−	0.305357i
$739$	−1.96261	−	31.1947i	−0.0721957	−	1.14752i	−0.852712	−	0.522382i	$-0.825044\pi$
$739$	−1.96261	−	31.1947i	−0.0721957	−	1.14752i	0.780516	−	0.625136i	$-0.214956\pi$
$740$	−3.69813	+	2.74242i	−0.135946	+	0.100813i
$741$	17.0981	−	20.6680i	0.628114	−	0.759259i
$742$	0.104891	+	0.549856i	0.00385065	+	0.0201858i
$743$	26.3648	−	19.1551i	0.967230	−	0.702734i	0.0124116	−	0.999923i	$-0.496049\pi$
$743$	26.3648	−	19.1551i	0.967230	−	0.702734i	0.954819	+	0.297189i	$0.0960491\pi$
$744$	−9.24557	+	5.08279i	−0.338959	+	0.186344i
$745$	11.7709	−	14.5149i	0.431252	−	0.531783i
$746$	−13.8445	+	1.74896i	−0.506881	+	0.0640340i
$747$	−5.42353	−	11.5256i	−0.198437	−	0.421699i
$748$	−0.842315	−	13.3882i	−0.0307981	−	0.489521i
$749$	−15.6960			−0.573521
$750$	3.14198	−	10.7298i	0.114729	−	0.391796i
$751$	−25.5182			−0.931173			−0.465587	−	0.885002i	$-0.654157\pi$
$751$	−25.5182			−0.931173			−0.465587	+	0.885002i	$0.654157\pi$
$752$	0.485788	+	7.72138i	0.0177149	+	0.281570i
$753$	1.28443	+	2.72955i	0.0468071	+	0.0994702i
$754$	−7.23839	+	0.914421i	−0.263607	+	0.0333013i
$755$	36.8964	+	14.1931i	1.34280	+	0.516541i
$756$	−2.75772	+	1.51607i	−0.100297	+	0.0551389i
$757$	−18.4563	+	13.4093i	−0.670806	+	0.487369i	−0.870295	−	0.492531i	$-0.836072\pi$
$757$	−18.4563	+	13.4093i	−0.670806	+	0.487369i	0.199489	+	0.979900i	$0.436072\pi$
$758$	6.41361	+	33.6213i	0.232953	+	1.22118i
$759$	12.9429	−	15.6453i	0.469797	−	0.567887i
$760$	13.8479	−	0.135229i	0.502317	−	0.00490526i
$761$	1.33792	+	21.2656i	0.0484995	+	0.770877i	0.944844	+	0.327520i	$0.106213\pi$
$761$	1.33792	+	21.2656i	0.0484995	+	0.770877i	−0.896345	+	0.443357i	$0.853787\pi$
$762$	3.13924	+	4.94665i	0.113723	+	0.179198i
$763$	30.9977	−	37.4697i	1.12219	−	1.35650i
$764$	8.41443	+	10.1713i	0.304424	+	0.367985i
$765$	−3.48586	+	5.61326i	−0.126032	+	0.202948i
$766$	32.4441	−	8.33023i	1.17225	−	0.300984i
$767$	−5.93736	−	0.750063i	−0.214386	−	0.0270832i
$768$	−0.809017	−	0.587785i	−0.0291929	−	0.0212099i
$769$	−12.4852	+	26.5323i	−0.450226	+	0.956780i	0.542907	+	0.839793i	$0.317324\pi$
$769$	−12.4852	+	26.5323i	−0.450226	+	0.956780i	−0.993133	+	0.116987i	$0.962676\pi$
$770$	16.8528	−	27.1379i	0.607332	−	0.977981i
$771$	−23.6465	−	12.9998i	−0.851607	−	0.468175i
$772$	13.9029	−	1.75635i	0.500378	−	0.0632124i
$773$	−21.8285	+	8.64253i	−0.785118	+	0.310850i	−0.726264	−	0.687416i	$-0.758745\pi$
$773$	−21.8285	+	8.64253i	−0.785118	+	0.310850i	−0.0588546	+	0.998267i	$0.518745\pi$
$774$	2.39533	−	1.74031i	0.0860984	−	0.0625542i
$775$	−48.6599	+	20.3738i	−1.74792	+	0.731850i
$776$	−4.54051	−	3.29887i	−0.162995	−	0.118423i
$777$	6.27601	+	1.61140i	0.225150	+	0.0578088i
$778$	−7.93876	+	7.45499i	−0.284618	+	0.267274i
$779$	44.3562	−	41.6532i	1.58922	−	1.49238i
$780$	−9.59596	+	1.30757i	−0.343590	+	0.0468186i
$781$	−56.0747	−	7.08389i	−2.00651	−	0.253481i
$782$	−4.08430	−	12.5702i	−0.146054	−	0.449509i
$783$	1.47617	−	0.811534i	0.0527542	−	0.0290019i
$784$	0.182310	−	2.89774i	0.00651108	−	0.103491i
$785$	−8.95320	−	13.8081i	−0.319553	−	0.492831i
$786$	−7.05620	+	11.1188i	−0.251686	+	0.396594i
$787$	−16.3415	+	4.19578i	−0.582512	+	0.149564i	−0.528436	−	0.848973i	$-0.677221\pi$
$787$	−16.3415	+	4.19578i	−0.582512	+	0.149564i	−0.0540758	+	0.998537i	$0.517221\pi$
$788$	−13.2540	−	5.24761i	−0.472153	−	0.186939i
$789$	4.22973	+	1.08601i	0.150582	+	0.0386630i
$790$	6.66249	−	6.38007i	0.237041	−	0.226993i
$791$	51.4574	+	20.3734i	1.82961	+	0.724395i
$792$	−1.93290	+	4.10761i	−0.0686824	+	0.145958i
$793$	9.78803	−	30.1245i	0.347583	−	1.06975i
$794$	−3.27232	−	17.1541i	−0.116130	−	0.608776i
$795$	−0.0783410	−	0.389951i	−0.00277847	−	0.0138301i
$796$	−5.70407	−	12.1218i	−0.202176	−	0.429645i
$797$	−0.708304	+	3.71306i	−0.0250894	+	0.131523i	−0.992628	−	0.121199i	$-0.961326\pi$
$797$	−0.708304	+	3.71306i	−0.0250894	+	0.131523i	0.967539	+	0.252723i	$0.0813260\pi$
$798$	−12.4235	−	15.0174i	−0.439786	−	0.531610i
$799$	7.06466	−	21.7428i	0.249930	−	0.769205i
$800$	−3.71099	−	3.35090i	−0.131203	−	0.118472i
$801$	3.52054	+	10.8351i	0.124392	+	0.382839i
$802$	−2.08925	+	3.29214i	−0.0737741	+	0.116249i
$803$	−37.6199	−	20.6817i	−1.32758	−	0.729843i
$804$	−0.313189	+	1.64179i	−0.0110453	+	0.0579016i
$805$	9.43336	−	30.0275i	0.332482	−	1.05833i
$806$	33.3108	+	31.2809i	1.17332	+	1.10182i
$807$	−3.13570			−0.110382
$808$	−0.0281055	−	0.0263928i	−0.000988749	−	0.000928497i
$809$	−12.9027	−	20.3314i	−0.453636	−	0.714815i	0.538133	−	0.842860i	$-0.319130\pi$
$809$	−12.9027	−	20.3314i	−0.453636	−	0.714815i	−0.991768	+	0.128045i	$0.959130\pi$
$810$	1.94887	−	1.09632i	0.0684763	−	0.0385206i
$811$	−42.3549	+	16.7695i	−1.48728	+	0.588857i	−0.964611	−	0.263678i	$-0.915065\pi$
$811$	−42.3549	+	16.7695i	−1.48728	+	0.588857i	−0.522671	+	0.852534i	$0.675065\pi$
$812$	−0.332866	+	5.29075i	−0.0116813	+	0.185669i
$813$	−1.54829	+	24.6094i	−0.0543009	+	0.863088i
$814$	8.69071	−	3.44090i	0.304609	−	0.120603i
$815$	−15.7602	−	1.83481i	−0.552057	−	0.0642707i
$816$	1.58336	+	2.49498i	0.0554288	+	0.0873419i
$817$	13.3671	+	12.5525i	0.467656	+	0.439158i
$818$	17.8466			0.623991
$819$	9.93575	+	9.33029i	0.347183	+	0.326027i
$820$	−21.9679	+	0.214523i	−0.767153	+	0.00749146i
$821$	8.01691	−	42.0261i	0.279792	−	1.46672i	−0.513610	−	0.858023i	$-0.671692\pi$
$821$	8.01691	−	42.0261i	0.279792	−	1.46672i	0.793402	−	0.608697i	$-0.208308\pi$
$822$	19.4720	+	10.7048i	0.679165	+	0.373374i
$823$	−3.51579	+	5.54001i	−0.122553	+	0.193112i	−0.900065	−	0.435755i	$-0.856481\pi$
$823$	−3.51579	+	5.54001i	−0.122553	+	0.193112i	0.777512	+	0.628868i	$0.216481\pi$
$824$	−0.951525	−	2.92849i	−0.0331479	−	0.102019i
$825$	−11.7858	+	19.3987i	−0.410328	+	0.675376i
$826$	−1.34372	+	4.13555i	−0.0467541	+	0.143894i
$827$	23.4488	+	28.3447i	0.815394	+	0.985642i	0.999996	+	0.00282856i	$0.000900361\pi$
$827$	23.4488	+	28.3447i	0.815394	+	0.985642i	−0.184602	+	0.982813i	$0.559100\pi$
$828$	−0.838118	+	4.39357i	−0.0291266	+	0.152687i
$829$	0.939726	+	1.99702i	0.0326380	+	0.0693593i	0.920481	−	0.390787i	$-0.127797\pi$
$829$	0.939726	+	1.99702i	0.0326380	+	0.0693593i	−0.887843	+	0.460146i	$0.847797\pi$
$830$	−28.2917	−	3.29373i	−0.982019	−	0.114327i
$831$	−4.13138	−	21.6574i	−0.143316	−	0.751289i
$832$	−1.33838	+	4.11912i	−0.0464001	+	0.142805i
$833$	−3.65307	+	7.76316i	−0.126571	+	0.268978i
$834$	6.71608	+	2.65908i	0.232559	+	0.0920765i
$835$	−10.0640	+	55.7075i	−0.348280	+	1.92784i
$836$	−27.2321	−	6.99202i	−0.941842	−	0.241824i
$837$	−9.80971	−	3.88394i	−0.339073	−	0.134249i
$838$	−5.37844	+	1.38095i	−0.185795	+	0.0477041i
$839$	−14.5739	+	22.9648i	−0.503146	+	0.792832i	−0.997056	−	0.0766817i	$-0.975567\pi$
$839$	−14.5739	+	22.9648i	−0.503146	+	0.792832i	0.493909	+	0.869513i	$0.335567\pi$
$840$	−0.373249	+	7.02695i	−0.0128783	+	0.242453i
$841$	−1.64275	+	26.1107i	−0.0566464	+	0.900369i
$842$	28.3538	−	15.5877i	0.977138	−	0.537186i
$843$	−2.80422	−	8.63050i	−0.0965824	−	0.297250i
$844$	−24.7392	−	3.12528i	−0.851557	−	0.107577i
$845$	5.59595	+	11.5967i	0.192507	+	0.398939i
$846$	−5.63977	+	5.29610i	−0.193899	+	0.182084i
$847$	−22.0425	+	20.6993i	−0.757389	+	0.711235i
$848$	−0.172287	−	0.0442359i	−0.00591637	−	0.00151907i
$849$	−7.19415	−	5.22685i	−0.246902	−	0.179385i
$850$	6.55075	+	13.2434i	0.224689	+	0.454244i
$851$	7.45057	−	5.41315i	0.255402	−	0.185561i
$852$	11.5760	−	4.58328i	0.396589	−	0.157021i
$853$	19.1775	−	2.42268i	0.656626	−	0.0829511i	0.210041	−	0.977693i	$-0.432640\pi$
$853$	19.1775	−	2.42268i	0.656626	−	0.0829511i	0.446585	+	0.894741i	$0.352640\pi$
$854$	−20.1681	−	11.0875i	−0.690137	−	0.379406i
$855$	8.93120	+	10.5838i	0.305440	+	0.361959i
$856$	2.12364	−	4.51297i	0.0725846	−	0.154250i
$857$	10.7948	+	7.84288i	0.368743	+	0.267908i	0.756690	−	0.653774i	$-0.226815\pi$
$857$	10.7948	+	7.84288i	0.368743	+	0.267908i	−0.387946	+	0.921682i	$0.626815\pi$
$858$	19.5067	+	2.46427i	0.665948	+	0.0841288i
$859$	0.823017	−	0.211315i	0.0280810	−	0.00720997i	−0.234623	−	0.972086i	$-0.575386\pi$
$859$	0.823017	−	0.211315i	0.0280810	−	0.00720997i	0.262704	+	0.964876i	$0.415386\pi$
$860$	−0.480208	−	6.60310i	−0.0163749	−	0.225164i
$861$	19.7082	+	23.8231i	0.671653	+	0.811889i
$862$	−0.607548	+	0.734400i	−0.0206932	+	0.0250138i
$863$	12.9247	+	20.3660i	0.439960	+	0.693267i	0.989873	−	0.141956i	$-0.0453390\pi$
$863$	12.9247	+	20.3660i	0.439960	+	0.693267i	−0.549913	+	0.835222i	$0.685339\pi$
$864$	−0.0627905	−	0.998027i	−0.00213618	−	0.0339536i
$865$	1.34917	+	0.960241i	0.0458731	+	0.0326492i
$866$	−15.6329	+	18.8969i	−0.531227	+	0.642144i
$867$	1.54927	+	8.12157i	0.0526160	+	0.275823i
$868$	26.8614	−	19.5160i	0.911735	−	0.662415i
$869$	−16.4114	+	9.02222i	−0.556717	+	0.306058i
$870$	0.199796	−	3.76145i	0.00677371	−	0.127525i
$871$	7.18192	−	0.907287i	0.243350	−	0.0307423i
$872$	6.57948	+	13.9821i	0.222809	+	0.473494i
$873$	−0.352404	−	5.60130i	−0.0119271	−	0.189575i
$874$	−27.7012			−0.937009
$875$	−5.57773	+	34.7393i	−0.188562	+	1.17440i
$876$	9.45667			0.319511
$877$	1.80409	+	28.6752i	0.0609198	+	0.968292i	0.903191	+	0.429238i	$0.141218\pi$
$877$	1.80409	+	28.6752i	0.0609198	+	0.968292i	−0.842272	+	0.539054i	$0.818782\pi$
$878$	−6.72239	−	14.2858i	−0.226870	−	0.482123i
$879$	16.9286	−	2.13858i	0.570987	−	0.0721325i
$880$	5.52261	+	8.51725i	0.186167	+	0.287116i
$881$	−2.19602	+	1.20727i	−0.0739857	+	0.0406740i	−0.518317	−	0.855189i	$-0.673441\pi$
$881$	−2.19602	+	1.20727i	−0.0739857	+	0.0406740i	0.444331	+	0.895862i	$0.353441\pi$
$882$	2.34895	−	1.70661i	0.0790934	−	0.0574647i
$883$	−0.0939563	−	0.492536i	−0.00316188	−	0.0165752i	0.980671	−	0.195662i	$-0.0626856\pi$
$883$	−0.0939563	−	0.492536i	−0.00316188	−	0.0165752i	−0.983833	+	0.179087i	$0.942686\pi$
$884$	8.15799	−	9.86132i	0.274383	−	0.331672i
$885$	0.926035	−	2.94768i	0.0311283	−	0.0990850i
$886$	0.285545	+	4.53861i	0.00959308	+	0.152478i
$887$	5.99221	+	9.44221i	0.201199	+	0.317038i	0.929913	−	0.367779i	$-0.119882\pi$
$887$	5.99221	+	9.44221i	0.201199	+	0.317038i	−0.728714	+	0.684818i	$0.759882\pi$
$888$	−1.31245	+	1.58647i	−0.0440428	+	0.0532386i
$889$	−11.7523	−	14.2061i	−0.394159	−	0.476456i
$890$	24.7352	+	6.09409i	0.829126	+	0.204274i
$891$	−4.39704	+	1.12897i	−0.147306	+	0.0378219i
$892$	−13.2086	−	1.66863i	−0.442257	−	0.0558700i
$893$	−38.7642	−	28.1638i	−1.29719	−	0.942467i
$894$	3.55843	−	7.56205i	0.119012	−	0.252913i
$895$	0.810066	+	11.1388i	0.0270775	+	0.372329i
$896$	2.75772	+	1.51607i	0.0921289	+	0.0506483i
$897$	19.2194	−	2.42797i	0.641716	−	0.0810676i
$898$	−18.5143	+	7.33034i	−0.617831	+	0.244617i
$899$	−14.3786	+	10.4467i	−0.479553	+	0.348416i
$900$	0.216442	−	4.99531i	0.00721473	−	0.166510i
$901$	0.425237	+	0.308952i	0.0141667	+	0.0102927i
$902$	43.2002	+	11.0919i	1.43841	+	0.369320i
$903$	−6.79220	+	6.37830i	−0.226030	+	0.212257i
$904$	−12.8199	+	12.0387i	−0.426383	+	0.400400i
$905$	8.52689	+	4.57984i	0.283443	+	0.152239i
$906$	17.5399	+	2.21580i	0.582724	+	0.0736151i
$907$	−2.90172	−	8.93059i	−0.0963502	−	0.296535i	0.891253	−	0.453506i	$-0.149827\pi$
$907$	−2.90172	−	8.93059i	−0.0963502	−	0.296535i	−0.987603	+	0.156971i	$0.949827\pi$
$908$	−5.67292	+	3.11871i	−0.188262	+	0.103498i
$909$	0.00242090	−	0.0384791i	8.02962e−5	−	0.00127627i
$910$	29.4444	−	7.86730i	0.976073	−	0.260798i
$911$	−1.76267	+	2.77752i	−0.0583998	+	0.0920234i	−0.872273	−	0.489019i	$-0.837355\pi$
$911$	−1.76267	+	2.77752i	−0.0583998	+	0.0920234i	0.813873	+	0.581042i	$0.197355\pi$
$912$	5.99870	−	1.54021i	0.198637	−	0.0510013i
$913$	53.7650	+	21.2871i	1.77936	+	0.704499i
$914$	−38.5868	−	9.90742i	−1.27634	−	0.327708i
$915$	14.4066	+	7.73785i	0.476266	+	0.255805i
$916$	−9.60373	−	3.80238i	−0.317316	−	0.125634i
$917$	17.6451	−	37.4978i	0.582693	−	1.23829i
$918$	−0.913143	+	2.81037i	−0.0301382	+	0.0927559i
$919$	4.63244	+	24.2841i	0.152810	+	0.801058i	0.973325	+	0.229432i	$0.0736870\pi$
$919$	4.63244	+	24.2841i	0.152810	+	0.801058i	−0.820515	+	0.571625i	$0.806313\pi$
$920$	7.35727	+	6.77496i	0.242562	+	0.223364i
$921$	13.3599	+	28.3912i	0.440224	+	0.935523i
$922$	3.26450	−	17.1131i	0.107511	−	0.563591i
$923$	−34.3723	−	41.5489i	−1.13138	−	1.36760i
$924$	4.41469	−	13.5870i	0.145232	−	0.446980i
$925$	−7.36561	+	7.19257i	−0.242180	+	0.236490i
$926$	3.63139	+	11.1763i	0.119335	+	0.367275i
$927$	1.64992	−	2.59985i	0.0541904	−	0.0853904i
$928$	−1.47617	−	0.811534i	−0.0484578	−	0.0266399i
$929$	0.627081	−	3.28727i	0.0205739	−	0.107852i	−0.970519	−	0.241025i	$-0.922517\pi$
$929$	0.627081	−	3.28727i	0.0205739	−	0.107852i	0.991093	+	0.133173i	$0.0425165\pi$
$930$	−18.9499	+	14.0527i	−0.621392	+	0.460805i
$931$	13.1083	+	12.3095i	0.429607	+	0.403428i
$932$	−23.0101			−0.753721
$933$	23.1626	+	21.7512i	0.758311	+	0.712101i
$934$	2.82562	+	4.45246i	0.0924571	+	0.145689i
$935$	−5.90816	−	29.4085i	−0.193218	−	0.961762i
$936$	−4.02696	+	1.59438i	−0.131625	+	0.0521141i
$937$	0.346062	−	5.50050i	0.0113054	−	0.179694i	−0.988322	−	0.152382i	$-0.951305\pi$
$937$	0.346062	−	5.50050i	0.0113054	−	0.179694i	0.999627	−	0.0273112i	$-0.00869451\pi$
$938$	0.330269	−	5.24948i	0.0107837	−	0.171401i
$939$	−22.6694	+	8.97546i	−0.739788	+	0.292903i
$940$	3.40741	+	16.9608i	0.111138	+	0.553199i
$941$	−18.3975	−	28.9897i	−0.599740	−	0.945039i	−0.999595	−	0.0284604i	$-0.990940\pi$
$941$	−18.3975	−	28.9897i	−0.599740	−	0.945039i	0.399855	−	0.916578i	$-0.369060\pi$
$942$	−5.36496	−	5.03803i	−0.174800	−	0.164148i
$943$	43.9444			1.43103
$944$	−1.00726	−	0.945881i	−0.0327836	−	0.0307858i
$945$	−5.65228	+	4.19155i	−0.183869	+	0.136351i
$946$	−2.51859	+	13.2029i	−0.0818865	+	0.429264i
$947$	18.5154	+	10.1789i	0.601670	+	0.330771i	0.753311	−	0.657665i	$-0.228456\pi$
$947$	18.5154	+	10.1789i	0.601670	+	0.330771i	−0.151641	+	0.988436i	$0.548456\pi$
$948$	2.21049	−	3.48318i	0.0717935	−	0.113128i
$949$	−12.6567	−	38.9532i	−0.410852	−	1.26447i
$950$	30.6406	−	4.48034i	0.994111	−	0.145361i
$951$	9.69142	−	29.8271i	0.314266	−	0.967211i
$952$	−5.92759	−	7.16523i	−0.192114	−	0.232226i
$953$	8.11561	−	42.5435i	0.262891	−	1.37812i	−0.568615	−	0.822604i	$-0.692521\pi$
$953$	8.11561	−	42.5435i	0.262891	−	1.37812i	0.831505	−	0.555517i	$-0.187479\pi$
$954$	−0.0757358	−	0.160947i	−0.00245204	−	0.00521084i
$955$	21.7137	+	19.9951i	0.702639	+	0.647027i
$956$	0.763210	+	4.00089i	0.0246840	+	0.129398i
$957$	−2.36313	+	7.27297i	−0.0763892	+	0.235102i
$958$	9.36873	−	19.9096i	0.302690	−	0.643249i
$959$	−65.0171	−	25.7421i	−2.09951	−	0.831255i
$960$	−1.96991	−	1.05805i	−0.0635785	−	0.0341484i
$961$	77.7921	+	19.9736i	2.50942	+	0.644310i
$962$	8.29144	+	3.28281i	0.267327	+	0.105842i
$963$	4.83096	−	1.24038i	0.155676	−	0.0399707i
$964$	−8.26610	+	13.0253i	−0.266233	+	0.419516i
$965$	30.2730	−	8.08869i	0.974523	−	0.260384i
$966$	0.883826	−	14.0480i	0.0284366	−	0.451987i
$967$	18.3268	−	10.0752i	0.589349	−	0.323997i	−0.159025	−	0.987275i	$-0.550835\pi$
$967$	18.3268	−	10.0752i	0.589349	−	0.323997i	0.748374	+	0.663277i	$0.230835\pi$
$968$	−2.96921	−	9.13828i	−0.0954339	−	0.293715i
$969$	−18.1568	−	2.29373i	−0.583280	−	0.0736854i
$970$	−11.0559	−	5.93817i	−0.354982	−	0.190663i
$971$	22.1023	−	20.7554i	0.709296	−	0.666073i	−0.243425	−	0.969920i	$-0.578271\pi$
$971$	22.1023	−	20.7554i	0.709296	−	0.666073i	0.952721	+	0.303846i	$0.0982710\pi$
$972$	0.728969	−	0.684547i	0.0233817	−	0.0219569i
$973$	−22.0175	−	5.65313i	−0.705848	−	0.181231i
$974$	26.6325	+	19.3497i	0.853361	+	0.620003i
$975$	−20.8660	+	5.79410i	−0.668246	+	0.185560i
$976$	5.91660	−	4.29866i	0.189386	−	0.137597i
$977$	28.3771	−	11.2353i	0.907865	−	0.359449i	0.132662	−	0.991161i	$-0.457647\pi$
$977$	28.3771	−	11.2353i	0.907865	−	0.359449i	0.775203	+	0.631712i	$0.217647\pi$
$978$	−7.03984	+	0.889339i	−0.225109	+	0.0284379i
$979$	−45.3217	−	24.9158i	−1.44849	−	0.796313i
$980$	−0.470910	−	6.47525i	−0.0150427	−	0.206844i
$981$	−6.57948	+	13.9821i	−0.210067	+	0.446414i
$982$	−18.3868	−	13.3588i	−0.586747	−	0.426297i
$983$	−39.5990	−	5.00251i	−1.26301	−	0.159555i	−0.534842	−	0.844952i	$-0.679629\pi$
$983$	−39.5990	−	5.00251i	−1.26301	−	0.159555i	−0.728170	+	0.685397i	$0.759629\pi$
$984$	−9.51616	+	2.44333i	−0.303364	+	0.0778906i
$985$	−30.9497	−	7.62517i	−0.986138	−	0.242958i
$986$	3.17297	+	3.83547i	0.101048	+	0.122146i
$987$	15.5194	−	18.7597i	0.493988	−	0.597128i
$988$	−14.3729	−	22.6480i	−0.457262	−	0.720529i
$989$	0.831536	+	13.2169i	0.0264413	+	0.420272i
$990$	−3.04241	+	9.68434i	−0.0966942	+	0.307789i
$991$	−23.8757	+	28.8608i	−0.758437	+	0.916793i	−0.998543	−	0.0539538i	$-0.982818\pi$
$991$	−23.8757	+	28.8608i	−0.758437	+	0.916793i	0.240107	+	0.970747i	$0.422818\pi$
$992$	1.97699	+	10.3637i	0.0627694	+	0.329049i
$993$	−23.0639	+	16.7569i	−0.731909	+	0.531763i
$994$	−34.3345	+	18.8756i	−1.08903	+	0.598697i
$995$	−16.2975	−	25.1349i	−0.516666	−	0.796828i
$996$	−12.6374	+	1.59648i	−0.400433	+	0.0505864i
$997$	12.4474	+	26.4520i	0.394212	+	0.837744i	0.999140	+	0.0414633i	$0.0132020\pi$
$997$	12.4474	+	26.4520i	0.394212	+	0.837744i	−0.604928	+	0.796280i	$0.706798\pi$
$998$	1.95248	+	31.0338i	0.0618048	+	0.982359i
$999$	−2.05898			−0.0651434

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	750.2.m.d.31.1	✓	140
125.121	even	25	inner	750.2.m.d.121.1	yes	140

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
750.2.m.d.31.1	✓	140	1.1	even	1	trivial
750.2.m.d.121.1	yes	140	125.121	even	25	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.m (of order \(25\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.0627905 - 0.998027i) q^{2} +(-0.425779 - 0.904827i) q^{3} +(-0.992115 + 0.125333i) q^{4} +(-2.16028 + 0.577210i) q^{5} +(-0.876307 + 0.481754i) q^{6} +(2.54596 - 1.84975i) q^{7} +(0.187381 + 0.982287i) q^{8} +(-0.637424 + 0.770513i) q^{9} +(0.711716 + 2.11978i) q^{10} +(-0.285048 - 4.53071i) q^{11} +(0.535827 + 0.844328i) q^{12} +(2.76075 - 3.33717i) q^{13} +(-2.00596 - 2.42479i) q^{14} +(1.44208 + 1.70892i) q^{15} +(0.968583 - 0.248690i) q^{16} +(-2.93169 - 0.370359i) q^{17} +(0.809017 + 0.587785i) q^{18} +(-2.63697 + 5.60384i) q^{19} +(2.07091 - 0.843414i) q^{20} +(-2.75772 - 1.51607i) q^{21} +(-4.50387 + 0.568971i) q^{22} +(-4.15870 + 1.64655i) q^{23} +(0.809017 - 0.587785i) q^{24} +(4.33366 - 2.49387i) q^{25} +(-3.50393 - 2.54576i) q^{26} +(0.968583 + 0.248690i) q^{27} +(-2.29405 + 2.15425i) q^{28} +(1.22798 - 1.15315i) q^{29} +(1.61500 - 1.54654i) q^{30} +(-10.4674 - 1.32234i) q^{31} +(-0.309017 - 0.951057i) q^{32} +(-3.97814 + 2.18700i) q^{33} +(-0.185546 + 2.94916i) q^{34} +(-4.43230 + 5.46553i) q^{35} +(0.535827 - 0.844328i) q^{36} +(-1.99430 + 0.512048i) q^{37} +(5.75836 + 2.27990i) q^{38} +(-4.19503 - 1.07710i) q^{39} +(-0.971783 - 2.01386i) q^{40} +(-9.13489 - 3.61676i) q^{41} +(-1.33992 + 2.84747i) q^{42} +(0.914935 - 2.81588i) q^{43} +(0.850648 + 4.45925i) q^{44} +(0.932269 - 2.03246i) q^{45} +(1.90442 + 4.04710i) q^{46} +(-1.44970 + 7.59961i) q^{47} +(-0.637424 - 0.770513i) q^{48} +(0.897220 - 2.76136i) q^{49} +(-2.76107 - 4.16851i) q^{50} +(0.913143 + 2.81037i) q^{51} +(-2.32072 + 3.65687i) q^{52} +(-0.155874 - 0.0856922i) q^{53} +(0.187381 - 0.982287i) q^{54} +(3.23095 + 9.62308i) q^{55} +(2.29405 + 2.15425i) q^{56} +6.19328 q^{57} +(-1.22798 - 1.15315i) q^{58} +(-0.740385 - 1.16666i) q^{59} +(-1.64489 - 1.51470i) q^{60} +(6.79975 - 2.69221i) q^{61} +(-0.662478 + 10.5298i) q^{62} +(-0.197600 + 3.14077i) q^{63} +(-0.929776 + 0.368125i) q^{64} +(-4.03775 + 8.80277i) q^{65} +(2.43247 + 3.83297i) q^{66} +(1.21840 + 1.14415i) q^{67} +2.95499 q^{68} +(3.26053 + 3.06184i) q^{69} +(5.73305 + 4.08037i) q^{70} +(2.33296 - 12.2298i) q^{71} +(-0.876307 - 0.481754i) q^{72} +(5.06714 - 7.98453i) q^{73} +(0.636261 + 1.95821i) q^{74} +(-4.10171 - 2.85937i) q^{75} +(1.91383 - 5.89016i) q^{76} +(-9.10638 - 11.0077i) q^{77} +(-0.811567 + 4.25439i) q^{78} +(-1.75650 - 3.73276i) q^{79} +(-1.94887 + 1.09632i) q^{80} +(-0.187381 - 0.982287i) q^{81} +(-3.03604 + 9.34396i) q^{82} +(-5.42353 + 11.5256i) q^{83} +(2.92599 + 1.15848i) q^{84} +(6.54706 - 0.892121i) q^{85} +(-2.86777 - 0.736319i) q^{86} +(-1.56625 - 0.620121i) q^{87} +(4.39704 - 1.12897i) q^{88} +(6.10451 - 9.61917i) q^{89} +(-2.08698 - 0.802811i) q^{90} +(0.855827 - 13.6030i) q^{91} +(3.91954 - 2.15478i) q^{92} +(3.26032 + 10.0342i) q^{93} +(7.67564 + 0.969659i) q^{94} +(2.46201 - 13.6280i) q^{95} +(-0.728969 + 0.684547i) q^{96} +(-4.09125 + 3.84194i) q^{97} +(-2.81225 - 0.722063i) q^{98} +(3.67267 + 2.66835i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 140 q - 20 q^{5} + 5 q^{7} + 20 q^{10} + 5 q^{11} - 10 q^{13} + 20 q^{14} - 5 q^{17} + 35 q^{18} - 5 q^{19} - 5 q^{23} + 35 q^{24} - 40 q^{25} - 10 q^{26} + 25 q^{29} + 5 q^{30} + 30 q^{31} + 35 q^{32}+ \cdots - 10 q^{99}+O(q^{100}) \) 140 * q - 20 * q^5 + 5 * q^7 + 20 * q^10 + 5 * q^11 - 10 * q^13 + 20 * q^14 - 5 * q^17 + 35 * q^18 - 5 * q^19 - 5 * q^23 + 35 * q^24 - 40 * q^25 - 10 * q^26 + 25 * q^29 + 5 * q^30 + 30 * q^31 + 35 * q^32 - 15 * q^34 - 25 * q^37 + 35 * q^38 - 10 * q^39 + 5 * q^40 + 55 * q^41 + 35 * q^43 + 25 * q^44 + 20 * q^46 + 10 * q^47 - 60 * q^49 - 5 * q^51 + 40 * q^52 + 40 * q^55 + 20 * q^57 - 25 * q^58 + 75 * q^59 + 50 * q^61 + 5 * q^62 + 5 * q^63 - 35 * q^65 + 20 * q^66 - 95 * q^67 + 20 * q^68 - 20 * q^69 + 65 * q^70 - 50 * q^71 + 20 * q^73 + 30 * q^74 + 35 * q^75 - 5 * q^76 + 15 * q^77 + 5 * q^78 + 70 * q^79 - 15 * q^82 + 25 * q^83 + 5 * q^84 - 95 * q^85 - 5 * q^86 - 5 * q^88 - 105 * q^89 - 5 * q^90 - 65 * q^91 + 55 * q^92 - 30 * q^93 - 10 * q^94 + 125 * q^95 - 5 * q^97 + 70 * q^98 - 10 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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