LMFDB - Embedded newform 300.2.w.a.127.23

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [300,2,Mod(67,300)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("300.67"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(300, base_ring=CyclotomicField(20)) chi = DirichletCharacter(H, H._module([10, 0, 13])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.w (of order $20$, degree $8$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$2.39551206064$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			127.23
Character	$\chi$	$=$	300.127
Dual form			300.2.w.a.163.23

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.12180 + 0.861136i) q^{2} +(0.891007 - 0.453990i) q^{3} +(0.516889 + 1.93205i) q^{4} +(1.01218 + 1.99386i) q^{5} +(1.39048 + 0.257990i) q^{6} +(-0.189838 + 0.189838i) q^{7} +(-1.08391 + 2.61250i) q^{8} +(0.587785 - 0.809017i) q^{9} +(-0.581516 + 3.10835i) q^{10} +(-2.68290 - 3.69270i) q^{11} +(1.33768 + 1.48681i) q^{12} +(-1.66631 + 0.263917i) q^{13} +(-0.376438 + 0.0494848i) q^{14} +(1.80706 + 1.31702i) q^{15} +(-3.46565 + 1.99731i) q^{16} +(2.52266 - 4.95101i) q^{17} +(1.35605 - 0.401395i) q^{18} +(0.186788 + 0.574876i) q^{19} +(-3.32906 + 2.98620i) q^{20} +(-0.0829624 + 0.255332i) q^{21} +(0.170225 - 6.45283i) q^{22} +(3.67098 + 0.581426i) q^{23} +(0.220276 + 2.81984i) q^{24} +(-2.95097 + 4.03631i) q^{25} +(-2.09654 - 1.13886i) q^{26} +(0.156434 - 0.987688i) q^{27} +(-0.464903 - 0.268652i) q^{28} +(3.14920 + 1.02324i) q^{29} +(0.893027 + 3.03356i) q^{30} +(6.47245 - 2.10303i) q^{31} +(-5.60774 - 0.743804i) q^{32} +(-4.06693 - 2.07221i) q^{33} +(7.09342 - 3.38170i) q^{34} +(-0.570663 - 0.186361i) q^{35} +(1.86688 + 0.717460i) q^{36} +(-0.372643 - 2.35278i) q^{37} +(-0.285506 + 0.805748i) q^{38} +(-1.36488 + 0.991640i) q^{39} +(-6.30607 + 0.483152i) q^{40} +(-9.30874 - 6.76320i) q^{41} +(-0.312943 + 0.214991i) q^{42} +(-0.00980686 - 0.00980686i) q^{43} +(5.74772 - 7.09222i) q^{44} +(2.20801 + 0.353090i) q^{45} +(3.61743 + 3.81346i) q^{46} +(1.17702 + 2.31002i) q^{47} +(-2.18116 + 3.35299i) q^{48} +6.92792i q^{49} +(-6.78622 + 1.98675i) q^{50} -5.55664i q^{51} +(-1.37120 - 3.08298i) q^{52} +(-4.53201 - 8.89456i) q^{53} +(1.02602 - 0.973281i) q^{54} +(4.64714 - 9.08702i) q^{55} +(-0.290184 - 0.701720i) q^{56} +(0.427418 + 0.427418i) q^{57} +(2.65164 + 3.85976i) q^{58} +(-3.15728 - 2.29390i) q^{59} +(-1.61051 + 4.17208i) q^{60} +(-9.40115 + 6.83034i) q^{61} +(9.07182 + 3.21448i) q^{62} +(0.0419983 + 0.265167i) q^{63} +(-5.65027 - 5.66343i) q^{64} +(-2.21282 - 3.05526i) q^{65} +(-2.77785 - 5.82679i) q^{66} +(6.49592 + 3.30984i) q^{67} +(10.8695 + 2.31480i) q^{68} +(3.53483 - 1.14854i) q^{69} +(-0.479690 - 0.700478i) q^{70} +(-12.6076 - 4.09646i) q^{71} +(1.47645 + 2.41249i) q^{72} +(-0.770226 + 4.86301i) q^{73} +(1.60803 - 2.96025i) q^{74} +(-0.796891 + 4.93609i) q^{75} +(-1.01414 + 0.658032i) q^{76} +(1.21033 + 0.191698i) q^{77} +(-2.38506 - 0.0629178i) q^{78} +(-4.17182 + 12.8395i) q^{79} +(-7.49024 - 4.88839i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(-4.61855 - 15.6031i) q^{82} +(3.42602 - 6.72394i) q^{83} +(-0.536197 - 0.0283094i) q^{84} +(12.4250 + 0.0185208i) q^{85} +(-0.00255633 - 0.0194464i) q^{86} +(3.27049 - 0.517995i) q^{87} +(12.5552 - 3.00651i) q^{88} +(4.20350 + 5.78562i) q^{89} +(2.17290 + 2.29750i) q^{90} +(0.266228 - 0.366431i) q^{91} +(0.774143 + 7.39306i) q^{92} +(4.81224 - 4.81224i) q^{93} +(-0.668864 + 3.60497i) q^{94} +(-0.957159 + 0.954310i) q^{95} +(-5.33421 + 1.88313i) q^{96} +(-0.917106 + 0.467289i) q^{97} +(-5.96588 + 7.77177i) q^{98} -4.56443 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44}+ \cdots + 256 q^{98}+O(q^{100}) $ 240 * q + 12 * q^8 + 8 * q^10 + 8 * q^12 + 4 * q^13 + 20 * q^17 - 20 * q^20 - 12 * q^22 + 20 * q^25 + 4 * q^28 - 8 * q^30 - 20 * q^32 - 8 * q^33 - 4 * q^37 - 76 * q^38 - 92 * q^40 - 20 * q^42 - 140 * q^44 - 4 * q^45 - 16 * q^48 - 164 * q^50 - 172 * q^52 - 4 * q^53 - 120 * q^58 + 20 * q^60 - 44 * q^62 - 60 * q^64 - 20 * q^65 + 16 * q^68 - 44 * q^70 + 12 * q^72 - 44 * q^73 - 48 * q^77 + 24 * q^78 - 4 * q^80 + 60 * q^81 + 24 * q^82 + 80 * q^84 - 64 * q^85 + 60 * q^88 - 260 * q^89 + 48 * q^90 + 144 * q^92 - 64 * q^93 + 40 * q^94 - 20 * q^96 - 180 * q^97 + 256 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$1$	$-1$	$e\left(\frac{1}{20}\right)$

Coefficient data

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

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

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

$2$	1.12180	+	0.861136i	0.793235	+	0.608915i
$2$	1.12180	+	0.861136i	0.793235	+	0.608915i
$3$	0.891007	−	0.453990i	0.514423	−	0.262112i
$3$	0.891007	−	0.453990i	0.514423	−	0.262112i
$4$	0.516889	+	1.93205i	0.258444	+	0.966026i
$5$	1.01218	+	1.99386i	0.452662	+	0.891682i
$5$	1.01218	+	1.99386i	0.452662	+	0.891682i
$6$	1.39048	+	0.257990i	0.567662	+	0.105324i
$7$	−0.189838	+	0.189838i	−0.0717522	+	0.0717522i	−0.742072	−	0.670320i	$-0.766157\pi$
$7$	−0.189838	+	0.189838i	−0.0717522	+	0.0717522i	0.670320	+	0.742072i	$0.266157\pi$
$8$	−1.08391	+	2.61250i	−0.383221	+	0.923657i
$9$	0.587785	−	0.809017i	0.195928	−	0.269672i
$10$	−0.581516	+	3.10835i	−0.183892	+	0.982947i
$11$	−2.68290	−	3.69270i	−0.808925	−	1.11339i	−0.991488	−	0.130196i	$-0.958439\pi$
$11$	−2.68290	−	3.69270i	−0.808925	−	1.11339i	0.182563	−	0.983194i	$-0.441561\pi$
$12$	1.33768	+	1.48681i	0.386156	+	0.429205i
$13$	−1.66631	+	0.263917i	−0.462151	+	0.0731975i	−0.383168	−	0.923678i	$-0.625167\pi$
$13$	−1.66631	+	0.263917i	−0.462151	+	0.0731975i	−0.0789825	+	0.996876i	$0.525167\pi$
$14$	−0.376438	+	0.0494848i	−0.100607	+	0.0132254i
$15$	1.80706	+	1.31702i	0.466580	+	0.340054i
$16$	−3.46565	+	1.99731i	−0.866413	+	0.499328i
$17$	2.52266	−	4.95101i	0.611836	−	1.20080i	−0.352425	−	0.935840i	$-0.614643\pi$
$17$	2.52266	−	4.95101i	0.611836	−	1.20080i	0.964261	−	0.264955i	$-0.0853572\pi$
$18$	1.35605	−	0.401395i	0.319625	−	0.0946098i
$19$	0.186788	+	0.574876i	0.0428522	+	0.131886i	0.970194	−	0.242331i	$-0.0779118\pi$
$19$	0.186788	+	0.574876i	0.0428522	+	0.131886i	−0.927342	+	0.374216i	$0.877912\pi$
$20$	−3.32906	+	2.98620i	−0.744400	+	0.667734i
$21$	−0.0829624	+	0.255332i	−0.0181039	+	0.0557180i
$22$	0.170225	−	6.45283i	0.0362921	−	1.37575i
$23$	3.67098	+	0.581426i	0.765452	+	0.121236i	0.526939	−	0.849903i	$-0.323340\pi$
$23$	3.67098	+	0.581426i	0.765452	+	0.121236i	0.238514	+	0.971139i	$0.423340\pi$
$24$	0.220276	+	2.81984i	0.0449636	+	0.575597i
$25$	−2.95097	+	4.03631i	−0.590194	+	0.807261i
$26$	−2.09654	−	1.13886i	−0.411165	−	0.223348i
$27$	0.156434	−	0.987688i	0.0301058	−	0.190081i
$28$	−0.464903	−	0.268652i	−0.0878585	−	0.0507705i
$29$	3.14920	+	1.02324i	0.584791	+	0.190010i	0.586446	−	0.809988i	$-0.300527\pi$
$29$	3.14920	+	1.02324i	0.584791	+	0.190010i	−0.00165467	+	0.999999i	$0.500527\pi$
$30$	0.893027	+	3.03356i	0.163044	+	0.553850i
$31$	6.47245	−	2.10303i	1.16249	−	0.377715i	0.336653	−	0.941629i	$-0.390705\pi$
$31$	6.47245	−	2.10303i	1.16249	−	0.377715i	0.825834	+	0.563914i	$0.190705\pi$
$32$	−5.60774	−	0.743804i	−0.991318	−	0.131487i
$33$	−4.06693	−	2.07221i	−0.707962	−	0.360725i
$34$	7.09342	−	3.38170i	1.21651	−	0.579957i
$35$	−0.570663	−	0.186361i	−0.0964596	−	0.0315007i
$36$	1.86688	+	0.717460i	0.311147	+	0.119577i
$37$	−0.372643	−	2.35278i	−0.0612621	−	0.386794i	−0.999200	−	0.0399907i	$-0.987267\pi$
$37$	−0.372643	−	2.35278i	−0.0612621	−	0.386794i	0.937938	−	0.346803i	$-0.112733\pi$
$38$	−0.285506	+	0.805748i	−0.0463152	+	0.130710i
$39$	−1.36488	+	0.991640i	−0.218555	+	0.158790i
$40$	−6.30607	+	0.483152i	−0.997078	+	0.0763931i
$41$	−9.30874	−	6.76320i	−1.45378	−	1.05623i	−0.984929	−	0.172957i	$-0.944668\pi$
$41$	−9.30874	−	6.76320i	−1.45378	−	1.05623i	−0.468852	−	0.883277i	$-0.655332\pi$
$42$	−0.312943	+	0.214991i	−0.0482882	+	0.0331738i
$43$	−0.00980686	−	0.00980686i	−0.00149553	−	0.00149553i	0.706359	−	0.707854i	$-0.250337\pi$
$43$	−0.00980686	−	0.00980686i	−0.00149553	−	0.00149553i	−0.707854	+	0.706359i	$0.750337\pi$
$44$	5.74772	−	7.09222i	0.866502	−	1.06919i
$45$	2.20801	+	0.353090i	0.329151	+	0.0526355i
$46$	3.61743	+	3.81346i	0.533361	+	0.562264i
$47$	1.17702	+	2.31002i	0.171685	+	0.336952i	0.960776	−	0.277325i	$-0.0894479\pi$
$47$	1.17702	+	2.31002i	0.171685	+	0.336952i	−0.789091	+	0.614277i	$0.789448\pi$
$48$	−2.18116	+	3.35299i	−0.314823	+	0.483963i
$49$			6.92792i			0.989703i
$50$	−6.78622	+	1.98675i	−0.959717	+	0.280970i
$51$		−	5.55664i		−	0.778086i
$52$	−1.37120	−	3.08298i	−0.190151	−	0.427532i
$53$	−4.53201	−	8.89456i	−0.622519	−	1.22176i	−0.959886	−	0.280389i	$-0.909537\pi$
$53$	−4.53201	−	8.89456i	−0.622519	−	1.22176i	0.337368	−	0.941373i	$-0.390463\pi$
$54$	1.02602	−	0.973281i	0.139624	−	0.132447i
$55$	4.64714	−	9.08702i	0.626621	−	1.22529i
$56$	−0.290184	−	0.701720i	−0.0387775	−	0.0937713i
$57$	0.427418	+	0.427418i	0.0566129	+	0.0566129i
$58$	2.65164	+	3.85976i	0.348177	+	0.506811i
$59$	−3.15728	−	2.29390i	−0.411043	−	0.298640i	0.362981	−	0.931797i	$-0.381759\pi$
$59$	−3.15728	−	2.29390i	−0.411043	−	0.298640i	−0.774024	+	0.633156i	$0.781759\pi$
$60$	−1.61051	+	4.17208i	−0.207916	+	0.538613i
$61$	−9.40115	+	6.83034i	−1.20369	+	0.874535i	−0.994643	−	0.103369i	$-0.967038\pi$
$61$	−9.40115	+	6.83034i	−1.20369	+	0.874535i	−0.209051	+	0.977905i	$0.567038\pi$
$62$	9.07182	+	3.21448i	1.15212	+	0.408239i
$63$	0.0419983	+	0.265167i	0.00529129	+	0.0334079i
$64$	−5.65027	−	5.66343i	−0.706284	−	0.707929i
$65$	−2.21282	−	3.05526i	−0.274467	−	0.378958i
$66$	−2.77785	−	5.82679i	−0.341930	−	0.717229i
$67$	6.49592	+	3.30984i	0.793603	+	0.404361i	0.803287	−	0.595592i	$-0.203083\pi$
$67$	6.49592	+	3.30984i	0.793603	+	0.404361i	−0.00968402	+	0.999953i	$0.503083\pi$
$68$	10.8695	+	2.31480i	1.31813	+	0.280710i
$69$	3.53483	−	1.14854i	0.425543	−	0.138267i
$70$	−0.479690	−	0.700478i	−0.0573339	−	0.0837232i
$71$	−12.6076	−	4.09646i	−1.49625	−	0.486160i	−0.557326	−	0.830294i	$-0.688173\pi$
$71$	−12.6076	−	4.09646i	−1.49625	−	0.486160i	−0.938921	+	0.344134i	$0.888173\pi$
$72$	1.47645	+	2.41249i	0.174001	+	0.284315i
$73$	−0.770226	+	4.86301i	−0.0901481	+	0.569173i	0.900727	+	0.434386i	$0.143035\pi$
$73$	−0.770226	+	4.86301i	−0.0901481	+	0.569173i	−0.990875	+	0.134786i	$0.956965\pi$
$74$	1.60803	−	2.96025i	0.186929	−	0.344122i
$75$	−0.796891	+	4.93609i	−0.0920171	+	0.569970i
$76$	−1.01414	+	0.658032i	−0.116330	+	0.0754814i
$77$	1.21033	+	0.191698i	0.137930	+	0.0218460i
$78$	−2.38506	−	0.0629178i	−0.270055	−	0.00712403i
$79$	−4.17182	+	12.8395i	−0.469366	+	1.44456i	0.384042	+	0.923316i	$0.374532\pi$
$79$	−4.17182	+	12.8395i	−0.469366	+	1.44456i	−0.853408	+	0.521244i	$0.825468\pi$
$80$	−7.49024	−	4.88839i	−0.837434	−	0.546538i
$81$	−0.309017	−	0.951057i	−0.0343352	−	0.105673i
$82$	−4.61855	−	15.6031i	−0.510034	−	1.72307i
$83$	3.42602	−	6.72394i	0.376054	−	0.738048i	−0.622969	−	0.782247i	$-0.714074\pi$
$83$	3.42602	−	6.72394i	0.376054	−	0.738048i	0.999023	+	0.0441989i	$0.0140735\pi$
$84$	−0.536197	−	0.0283094i	−0.0585039	−	0.00308881i
$85$	12.4250	+	0.0185208i	1.34768	+	0.00200886i
$86$	−0.00255633	−	0.0194464i	−0.000275656	−	0.00209696i
$87$	3.27049	−	0.517995i	0.350634	−	0.0555349i
$88$	12.5552	−	3.00651i	1.33839	−	0.320495i
$89$	4.20350	+	5.78562i	0.445570	+	0.613274i	0.971438	−	0.237292i	$-0.0762597\pi$
$89$	4.20350	+	5.78562i	0.445570	+	0.613274i	−0.525869	+	0.850566i	$0.676260\pi$
$90$	2.17290	+	2.29750i	0.229044	+	0.242178i
$91$	0.266228	−	0.366431i	0.0279083	−	0.0384124i
$92$	0.774143	+	7.39306i	0.0807100	+	0.770780i
$93$	4.81224	−	4.81224i	0.499007	−	0.499007i
$94$	−0.668864	+	3.60497i	−0.0689880	+	0.371824i
$95$	−0.957159	+	0.954310i	−0.0982024	+	0.0979101i
$96$	−5.33421	+	1.88313i	−0.544421	+	0.192196i
$97$	−0.917106	+	0.467289i	−0.0931180	+	0.0474460i	−0.499929	−	0.866066i	$-0.666641\pi$
$97$	−0.917106	+	0.467289i	−0.0931180	+	0.0474460i	0.406811	+	0.913512i	$0.366641\pi$
$98$	−5.96588	+	7.77177i	−0.602645	+	0.785068i
$99$	−4.56443			−0.458742
$100$	−9.32368	−	3.61511i	−0.932368	−	0.361511i
$101$	6.65959			0.662654			0.331327	−	0.943516i	$-0.392504\pi$
$101$	6.65959			0.662654			0.331327	+	0.943516i	$0.392504\pi$
$102$	4.78503	−	6.23347i	0.473788	−	0.617205i
$103$	13.3848	−	6.81989i	1.31884	−	0.671984i	0.354107	−	0.935205i	$-0.384785\pi$
$103$	13.3848	−	6.81989i	1.31884	−	0.671984i	0.964736	+	0.263221i	$0.0847848\pi$
$104$	1.11665	−	4.63929i	0.109496	−	0.454920i
$105$	−0.593070	+	0.0930271i	−0.0578777	+	0.00907852i
$106$	2.57541	−	13.8806i	0.250146	−	1.34821i
$107$	−11.3660	+	11.3660i	−1.09880	+	1.09880i	−0.104243	+	0.994552i	$0.533242\pi$
$107$	−11.3660	+	11.3660i	−1.09880	+	1.09880i	−0.994552	+	0.104243i	$0.966758\pi$
$108$	1.98912	−	0.208286i	0.191404	−	0.0200423i
$109$	3.89523	−	5.36133i	0.373095	−	0.513522i	−0.580643	−	0.814158i	$-0.697199\pi$
$109$	3.89523	−	5.36133i	0.373095	−	0.513522i	0.953739	+	0.300636i	$0.0971990\pi$
$110$	13.0383	−	6.19204i	1.24316	−	0.590387i
$111$	−1.40017	−	1.92716i	−0.132898	−	0.182918i
$112$	0.278747	−	1.03708i	0.0263391	−	0.0979949i
$113$	16.3189	−	2.58466i	1.53515	−	0.243144i	0.669129	−	0.743146i	$-0.266667\pi$
$113$	16.3189	−	2.58466i	1.53515	−	0.243144i	0.866024	+	0.500002i	$0.166667\pi$
$114$	0.111414	+	0.847544i	0.0104349	+	0.0793798i
$115$	2.55642	+	7.90794i	0.238387	+	0.737419i
$116$	−0.349160	+	6.61331i	−0.0324187	+	0.614031i
$117$	−0.765918	+	1.50320i	−0.0708092	+	0.138971i
$118$	−1.56649	−	5.29216i	−0.144207	−	0.487183i
$119$	0.460993	+	1.41879i	0.0422591	+	0.130060i
$120$	−5.39941	+	3.29339i	−0.492896	+	0.300644i
$121$	−3.03887	+	9.35268i	−0.276261	+	0.850243i
$122$	−16.4281	−	0.433372i	−1.48733	−	0.0392357i
$123$	−11.3646	−	1.79997i	−1.02471	−	0.162298i
$124$	7.40870	+	11.4181i	0.665321	+	1.02537i
$125$	−11.0348	−	1.79835i	−0.986979	−	0.160850i
$126$	−0.181231	+	0.333631i	−0.0161453	+	0.0297223i
$127$	−0.216773	+	1.36865i	−0.0192355	+	0.121448i	−0.995438	−	0.0954145i	$-0.969582\pi$
$127$	−0.216773	+	1.36865i	−0.0192355	+	0.121448i	0.976202	+	0.216863i	$0.0695824\pi$
$128$	−1.46151	−	11.2189i	−0.129181	−	0.991621i
$129$	−0.0131902	−	0.00428575i	−0.00116133	−	0.000377340i
$130$	0.148638	−	5.33294i	0.0130364	−	0.467730i
$131$	−18.9066	+	6.14313i	−1.65188	+	0.536728i	−0.979146	−	0.203158i	$-0.934880\pi$
$131$	−18.9066	+	6.14313i	−1.65188	+	0.536728i	−0.672732	+	0.739886i	$0.734880\pi$
$132$	1.90146	−	8.92863i	0.165501	−	0.777137i
$133$	−0.144593	−	0.0736739i	−0.0125378	−	0.00638834i
$134$	4.43693	+	9.30686i	0.383292	+	0.803990i
$135$	2.12765	−	0.687812i	0.183119	−	0.0591975i
$136$	10.2001	+	11.9569i	0.874655	+	1.02530i
$137$	−0.600835	−	3.79353i	−0.0513328	−	0.324103i	−0.999970	−	0.00773685i	$-0.997537\pi$
$137$	−0.600835	−	3.79353i	−0.0513328	−	0.324103i	0.948637	−	0.316366i	$-0.102463\pi$
$138$	4.95443	+	1.75554i	0.421749	+	0.149441i
$139$	−14.9655	+	10.8731i	−1.26936	+	0.922243i	−0.999177	−	0.0405660i	$-0.987084\pi$
$139$	−14.9655	+	10.8731i	−1.26936	+	0.922243i	−0.270182	+	0.962809i	$0.587084\pi$
$140$	0.0650889	−	1.19888i	0.00550101	−	0.101324i
$141$	2.09746	+	1.52389i	0.176638	+	0.128335i
$142$	−10.6156	−	15.4523i	−0.890845	−	1.29673i
$143$	5.44511	+	5.44511i	0.455343	+	0.455343i
$144$	−0.421199	+	3.97776i	−0.0350999	+	0.331480i
$145$	1.14737	+	7.31477i	0.0952840	+	0.607458i
$146$	−5.05176	+	4.79208i	−0.418087	+	0.396595i
$147$	3.14521	+	6.17282i	0.259413	+	0.509126i
$148$	4.35307	−	1.93609i	0.357820	−	0.159146i
$149$			19.1283i			1.56705i	0.621359	+	0.783526i	$0.286581\pi$
$149$			19.1283i			1.56705i	−0.621359	+	0.783526i	$0.713419\pi$
$150$	−5.14460	+	4.85109i	−0.420055	+	0.396090i
$151$			0.789590i			0.0642559i	0.999484	+	0.0321280i	$0.0102284\pi$
$151$			0.789590i			0.0642559i	−0.999484	+	0.0321280i	$0.989772\pi$
$152$	−1.70432	−	0.135131i	−0.138239	−	0.0109605i
$153$	−2.52266	−	4.95101i	−0.203945	−	0.400265i
$154$	1.19268	+	1.25731i	0.0961089	+	0.101317i
$155$	10.7445	+	10.7765i	0.863015	+	0.865592i
$156$	−2.62139	−	2.12444i	−0.209879	−	0.170092i
$157$	0.986707	+	0.986707i	0.0787478	+	0.0787478i	0.745384	−	0.666636i	$-0.232266\pi$
$157$	0.986707	+	0.986707i	0.0787478	+	0.0787478i	−0.666636	+	0.745384i	$0.732266\pi$
$158$	−15.7365	+	10.8109i	−1.25193	+	0.860072i
$159$	−8.07609	−	5.86762i	−0.640476	−	0.465333i
$160$	−4.19302	−	11.9339i	−0.331487	−	0.943460i
$161$	−0.807270	+	0.586516i	−0.0636218	+	0.0462240i
$162$	0.472333	−	1.33300i	0.0371100	−	0.104731i
$163$	−1.18009	−	7.45082i	−0.0924320	−	0.583593i	−0.989817	−	0.142345i	$-0.954536\pi$
$163$	−1.18009	−	7.45082i	−0.0924320	−	0.583593i	0.897385	−	0.441248i	$-0.145464\pi$
$164$	8.25527	−	21.4808i	0.644628	−	1.67737i
$165$	0.0152137	−	10.2064i	0.00118438	−	0.794564i
$166$	9.63355	−	4.59267i	0.747708	−	0.356461i
$167$	17.5211	+	8.92744i	1.35582	+	0.690826i	0.972525	−	0.232799i	$-0.0747883\pi$
$167$	17.5211	+	8.92744i	1.35582	+	0.690826i	0.383298	+	0.923625i	$0.374788\pi$
$168$	−0.577130	−	0.493497i	−0.0445266	−	0.0380741i
$169$	−9.65680	+	3.13769i	−0.742831	+	0.241360i
$170$	13.9225	+	10.7204i	1.06781	+	0.822218i
$171$	0.574876	+	0.186788i	0.0439619	+	0.0142841i
$172$	0.0138783	−	0.0240164i	0.00105821	−	0.00183123i
$173$	−2.63941	+	16.6646i	−0.200670	+	1.26698i	0.657435	+	0.753511i	$0.271641\pi$
$173$	−2.63941	+	16.6646i	−0.200670	+	1.26698i	−0.858106	+	0.513473i	$0.828359\pi$
$174$	4.11492	+	2.23525i	0.311951	+	0.169454i
$175$	−0.206038	−	1.32645i	−0.0155750	−	0.100271i
$176$	16.6735	+	7.43901i	1.25681	+	0.560736i
$177$	−3.85457	−	0.610504i	−0.289727	−	0.0458883i
$178$	−0.266704	+	10.1101i	−0.0199903	+	0.757785i
$179$	0.708606	−	2.18087i	0.0529637	−	0.163006i	−0.921076	−	0.389383i	$-0.872688\pi$
$179$	0.708606	−	2.18087i	0.0529637	−	0.163006i	0.974040	+	0.226377i	$0.0726883\pi$
$180$	0.459110	+	4.44851i	0.0342201	+	0.331572i
$181$	4.25840	+	13.1060i	0.316525	+	0.974163i	0.975122	+	0.221667i	$0.0711499\pi$
$181$	4.25840	+	13.1060i	0.316525	+	0.974163i	−0.658598	+	0.752495i	$0.728850\pi$
$182$	0.614203	−	0.181806i	0.0455277	−	0.0134763i
$183$	−5.27558	+	10.3539i	−0.389982	+	0.765383i
$184$	−5.49799	+	8.96021i	−0.405317	+	0.660555i
$185$	4.31393	−	3.12444i	0.317166	−	0.229713i
$186$	9.54239	−	1.25440i	0.699682	−	0.0919769i
$187$	−25.0506	+	3.96763i	−1.83188	+	0.290142i
$188$	−3.85470	+	3.46808i	−0.281133	+	0.252936i
$189$	0.157804	+	0.217199i	0.0114785	+	0.0157989i
$190$	−1.89554	+	0.246304i	−0.137517	+	0.0178688i
$191$	15.6587	−	21.5523i	1.13302	−	1.55947i	0.350821	−	0.936443i	$-0.385903\pi$
$191$	15.6587	−	21.5523i	1.13302	−	1.55947i	0.782200	−	0.623027i	$-0.214097\pi$
$192$	−7.60557	−	2.48099i	−0.548885	−	0.179050i
$193$	6.53786	−	6.53786i	0.470605	−	0.470605i	−0.431505	−	0.902110i	$-0.642017\pi$
$193$	6.53786	−	6.53786i	0.470605	−	0.470605i	0.902110	+	0.431505i	$0.142017\pi$
$194$	−1.43121	−	0.265547i	−0.102755	−	0.0190651i
$195$	−3.35870	−	1.71765i	−0.240521	−	0.123004i
$196$	−13.3851	+	3.58097i	−0.956079	+	0.255783i
$197$	12.1115	−	6.17110i	0.862906	−	0.439673i	0.0342384	−	0.999414i	$-0.489099\pi$
$197$	12.1115	−	6.17110i	0.862906	−	0.439673i	0.828668	+	0.559741i	$0.189099\pi$
$198$	−5.12039	−	3.93059i	−0.363890	−	0.279335i
$199$	−7.41416			−0.525576			−0.262788	−	0.964854i	$-0.584642\pi$
$199$	−7.41416			−0.525576			−0.262788	+	0.964854i	$0.584642\pi$
$200$	−7.34624	−	12.0844i	−0.519457	−	0.854496i
$201$	7.29054			0.514235
$202$	7.47075	+	5.73481i	0.525640	+	0.403500i
$203$	−0.792088	+	0.403589i	−0.0555937	+	0.0283264i
$204$	10.7357	−	2.87217i	0.751651	−	0.201092i
$205$	4.06274	−	25.4059i	0.283754	−	1.77443i
$206$	20.8880	+	3.87555i	1.45533	+	0.270022i
$207$	2.62813	−	2.62813i	0.182668	−	0.182668i
$208$	5.24772	−	4.24279i	0.363864	−	0.294184i
$209$	1.62171	−	2.23209i	0.112176	−	0.154397i
$210$	−0.745418	−	0.406356i	−0.0514387	−	0.0280412i
$211$	−4.85618	−	6.68396i	−0.334313	−	0.460142i	0.608457	−	0.793587i	$-0.291789\pi$
$211$	−4.85618	−	6.68396i	−0.334313	−	0.460142i	−0.942770	+	0.333445i	$0.891789\pi$
$212$	14.8422	−	13.3536i	1.01937	−	0.917127i
$213$	−13.0932	+	2.07376i	−0.897132	+	0.142092i
$214$	−22.5381	+	2.96276i	−1.54068	+	0.202530i
$215$	0.00962719	−	0.0294799i	0.000656569	−	0.00201051i
$216$	2.41077	+	1.47925i	0.164032	+	0.100650i
$217$	−0.829485	+	1.62796i	−0.0563091	+	0.110513i
$218$	8.98652	−	2.66003i	0.608644	−	0.180160i
$219$	1.52149	+	4.68265i	0.102812	+	0.316424i
$220$	19.9587	+	4.28154i	1.34561	+	0.288662i
$221$	−2.89688	+	8.91568i	−0.194865	+	0.599733i
$222$	0.0888379	−	3.36763i	0.00596241	−	0.226021i
$223$	4.16161	+	0.659135i	0.278682	+	0.0441389i	0.294211	−	0.955741i	$-0.404943\pi$
$223$	4.16161	+	0.659135i	0.278682	+	0.0441389i	−0.0155288	+	0.999879i	$0.504943\pi$
$224$	1.20577	−	0.923362i	0.0805637	−	0.0616947i
$225$	1.53090	+	4.75987i	0.102060	+	0.317325i
$226$	20.5324	+	11.1533i	1.36579	+	0.741907i
$227$	1.61847	−	10.2186i	0.107421	−	0.678232i	−0.873936	−	0.486041i	$-0.838441\pi$
$227$	1.61847	−	10.2186i	0.107421	−	0.678232i	0.981358	−	0.192191i	$-0.0615594\pi$
$228$	−0.604866	+	1.04672i	−0.0400582	+	0.0693208i
$229$	−1.55021	−	0.503695i	−0.102441	−	0.0332851i	0.257348	−	0.966319i	$-0.417151\pi$
$229$	−1.55021	−	0.503695i	−0.102441	−	0.0332851i	−0.359789	+	0.933034i	$0.617151\pi$
$230$	−3.94201	+	11.0726i	−0.259928	+	0.730104i
$231$	1.16544	−	0.378676i	0.0766806	−	0.0249150i
$232$	−6.08665	+	7.11817i	−0.399608	+	0.467330i
$233$	2.66801	+	1.35942i	0.174787	+	0.0890586i	0.539195	−	0.842181i	$-0.318729\pi$
$233$	2.66801	+	1.35942i	0.174787	+	0.0890586i	−0.364408	+	0.931240i	$0.618729\pi$
$234$	−2.15367	+	1.02673i	−0.140790	+	0.0671198i
$235$	−3.41451	+	4.68497i	−0.222738	+	0.305614i
$236$	2.79997	−	7.28573i	0.182263	−	0.474260i
$237$	2.11191	+	13.3341i	0.137183	+	0.866141i
$238$	−0.704628	+	1.98858i	−0.0456742	+	0.128901i
$239$	17.9159	−	13.0167i	1.15888	−	0.841979i	0.169248	−	0.985574i	$-0.445866\pi$
$239$	17.9159	−	13.0167i	1.15888	−	0.841979i	0.989637	+	0.143595i	$0.0458662\pi$
$240$	−8.89313	−	0.955086i	−0.574049	−	0.0616506i
$241$	−0.0614146	−	0.0446203i	−0.00395606	−	0.00287425i	0.585805	−	0.810452i	$-0.300778\pi$
$241$	−0.0614146	−	0.0446203i	−0.00395606	−	0.00287425i	−0.589762	+	0.807577i	$0.700778\pi$
$242$	−11.4629	+	7.87499i	−0.736866	+	0.506224i
$243$	−0.707107	−	0.707107i	−0.0453609	−	0.0453609i
$244$	−18.0559	−	14.6330i	−1.15591	−	0.936782i
$245$	−13.8133	+	7.01232i	−0.882501	+	0.448001i
$246$	−11.1988	−	11.8057i	−0.714010	−	0.752702i
$247$	−0.462967	−	0.908624i	−0.0294579	−	0.0578144i
$248$	−1.52142	+	19.1888i	−0.0966102	+	1.21849i
$249$		−	7.54645i		−	0.478237i
$250$	−10.8302	−	11.5198i	−0.684963	−	0.728578i
$251$			29.9398i			1.88979i	0.327379	+	0.944893i	$0.393835\pi$
$251$			29.9398i			1.88979i	−0.327379	+	0.944893i	$0.606165\pi$
$252$	−0.490608	+	0.218205i	−0.0309054	+	0.0137456i
$253$	−7.70185	−	15.1157i	−0.484211	−	0.950318i
$254$	−1.42177	+	1.34869i	−0.0892099	+	0.0846241i
$255$	11.0792	−	5.62434i	0.693805	−	0.352210i
$256$	8.02148	−	13.8440i	0.501343	−	0.865249i
$257$	14.7898	+	14.7898i	0.922565	+	0.922565i	0.997210	−	0.0746451i	$-0.0237824\pi$
$257$	14.7898	+	14.7898i	0.922565	+	0.922565i	−0.0746451	+	0.997210i	$0.523782\pi$
$258$	−0.0111062	−	0.0161663i	−0.000691442	−	0.00100647i
$259$	0.517389	+	0.375905i	0.0321490	+	0.0233576i
$260$	4.75913	−	5.85452i	0.295149	−	0.363082i
$261$	2.67887	−	1.94631i	0.165818	−	0.120474i
$262$	−26.4996	−	9.38978i	−1.63715	−	0.580102i
$263$	−4.13096	−	26.0818i	−0.254726	−	1.60827i	−0.700854	−	0.713305i	$-0.747197\pi$
$263$	−4.13096	−	26.0818i	−0.254726	−	1.60827i	0.446128	−	0.894969i	$-0.352803\pi$
$264$	9.82183	−	8.37876i	0.604492	−	0.515677i
$265$	13.1473	−	18.0391i	0.807633	−	1.10813i
$266$	−0.0987620	−	0.207162i	−0.00605548	−	0.0127019i
$267$	6.37196	+	3.24667i	0.389957	+	0.198693i
$268$	−3.03711	+	14.2613i	−0.185521	+	0.871146i
$269$	−14.2213	+	4.62080i	−0.867091	+	0.281735i	−0.708587	−	0.705623i	$-0.750667\pi$
$269$	−14.2213	+	4.62080i	−0.867091	+	0.281735i	−0.158504	+	0.987358i	$0.550667\pi$
$270$	2.97911	+	1.06061i	0.181303	+	0.0645467i
$271$	8.37925	+	2.72258i	0.509003	+	0.165385i	0.552249	−	0.833679i	$-0.313770\pi$
$271$	8.37925	+	2.72258i	0.509003	+	0.165385i	−0.0432457	+	0.999064i	$0.513770\pi$
$272$	1.14604	+	22.1970i	0.0694886	+	1.34589i
$273$	0.0708545	−	0.447357i	0.00428831	−	0.0270753i
$274$	2.59272	−	4.77299i	0.156632	−	0.288347i
$275$	22.8220	+	0.0680375i	1.37622	+	0.00410281i
$276$	4.04615	+	6.23581i	0.243549	+	0.375352i
$277$	−8.96925	−	1.42059i	−0.538910	−	0.0853549i	−0.118955	−	0.992900i	$-0.537954\pi$
$277$	−8.96925	−	1.42059i	−0.538910	−	0.0853549i	−0.419955	+	0.907545i	$0.637954\pi$
$278$	−26.1516	−	0.689877i	−1.56847	−	0.0413761i
$279$	2.10303	−	6.47245i	0.125905	−	0.387496i
$280$	1.10541	−	1.28886i	0.0660611	−	0.0770239i
$281$	−8.89363	−	27.3718i	−0.530549	−	1.63286i	−0.753074	−	0.657936i	$-0.771430\pi$
$281$	−8.89363	−	27.3718i	−0.530549	−	1.63286i	0.222525	−	0.974927i	$-0.428570\pi$
$282$	1.04066	+	3.51571i	0.0619703	+	0.209357i
$283$	8.13832	−	15.9724i	0.483773	−	0.949458i	−0.512120	−	0.858914i	$-0.671140\pi$
$283$	8.13832	−	15.9724i	0.483773	−	0.949458i	0.995892	−	0.0905436i	$-0.0288604\pi$
$284$	1.39784	−	26.4760i	0.0829466	−	1.57106i
$285$	−0.419587	+	1.28484i	−0.0248542	+	0.0761072i
$286$	1.41937	+	10.7973i	0.0839289	+	0.638459i
$287$	3.05107	−	0.483242i	0.180099	−	0.0285249i
$288$	−3.89790	+	4.09956i	−0.229686	+	0.241569i
$289$	−8.15628	−	11.2262i	−0.479781	−	0.660362i
$290$	−5.01188	+	9.19378i	−0.294308	+	0.539877i
$291$	−0.605003	+	0.832715i	−0.0354659	+	0.0488146i
$292$	−9.79372	+	1.02552i	−0.573134	+	0.0600141i
$293$	−1.24037	+	1.24037i	−0.0724632	+	0.0724632i	−0.742410	−	0.669946i	$-0.766317\pi$
$293$	−1.24037	+	1.24037i	−0.0724632	+	0.0724632i	0.669946	+	0.742410i	$0.266317\pi$
$294$	−1.78733	+	9.63315i	−0.104239	+	0.561817i
$295$	1.37797	−	8.61703i	0.0802287	−	0.501703i
$296$	6.55053	+	1.57667i	0.380742	+	0.0916423i
$297$	−4.06693	+	2.07221i	−0.235987	+	0.120242i
$298$	−16.4721	+	21.4582i	−0.954202	+	1.24304i
$299$	−6.27044			−0.362629
$300$	−9.94868	+	1.01177i	−0.574388	+	0.0584148i
$301$	0.00372344			0.000214615
$302$	−0.679945	+	0.885765i	−0.0391264	+	0.0509701i
$303$	5.93374	−	3.02339i	0.340884	−	0.173689i
$304$	−1.79555	−	1.61924i	−0.102982	−	0.0928700i
$305$	−23.1344	−	11.8311i	−1.32467	−	0.677444i
$306$	1.43356	−	7.72642i	0.0819509	−	0.441690i
$307$	−11.6840	+	11.6840i	−0.666844	+	0.666844i	−0.956984	−	0.290140i	$-0.906298\pi$
$307$	−11.6840	+	11.6840i	−0.666844	+	0.666844i	0.290140	+	0.956984i	$0.406298\pi$
$308$	0.255238	+	2.43752i	0.0145435	+	0.138890i
$309$	8.82977	−	12.1531i	0.502308	−	0.691368i
$310$	2.77311	+	21.3416i	0.157502	+	1.21212i
$311$	−3.31285	−	4.55974i	−0.187854	−	0.258559i	0.704694	−	0.709512i	$-0.251084\pi$
$311$	−3.31285	−	4.55974i	−0.187854	−	0.258559i	−0.892548	+	0.450952i	$0.851084\pi$
$312$	−1.11125	−	4.64058i	−0.0629122	−	0.262721i
$313$	−17.7167	+	2.80604i	−1.00141	+	0.158607i	−0.635546	−	0.772063i	$-0.719225\pi$
$313$	−17.7167	+	2.80604i	−1.00141	+	0.158607i	−0.365859	+	0.930670i	$0.619225\pi$
$314$	0.257203	+	1.95658i	0.0145148	+	0.110416i
$315$	−0.486196	+	0.352136i	−0.0273940	+	0.0198406i
$316$	−26.9630	−	1.42356i	−1.51679	−	0.0800813i
$317$	4.15260	−	8.14994i	0.233233	−	0.457746i	−0.744493	−	0.667630i	$-0.767309\pi$
$317$	4.15260	−	8.14994i	0.233233	−	0.457746i	0.977726	+	0.209884i	$0.0673086\pi$
$318$	−4.00697	−	13.5369i	−0.224700	−	0.759114i
$319$	−4.67049	−	14.3743i	−0.261497	−	0.804805i
$320$	5.57300	−	16.9983i	0.311540	−	0.950233i
$321$	−4.96713	+	15.2873i	−0.277238	+	0.853252i
$322$	−1.41067	−	0.0372134i	−0.0786135	−	0.00207382i
$323$	3.31742	+	0.525427i	0.184586	+	0.0292356i
$324$	1.67776	−	1.08863i	0.0932091	−	0.0604793i
$325$	3.85198	−	7.50454i	0.213669	−	0.416277i
$326$	5.09233	−	9.37458i	0.282038	−	0.519210i
$327$	1.03669	−	6.54537i	0.0573288	−	0.361960i
$328$	27.7587	−	16.9883i	1.53272	−	0.938024i
$329$	−0.661974	−	0.215089i	−0.0364958	−	0.0118582i
$330$	8.80613	−	11.4364i	0.484761	−	0.629555i
$331$	7.07411	−	2.29852i	0.388828	−	0.126338i	−0.108077	−	0.994142i	$-0.534469\pi$
$331$	7.07411	−	2.29852i	0.388828	−	0.126338i	0.496906	+	0.867804i	$0.334469\pi$
$332$	14.7619	+	3.14371i	0.810163	+	0.172534i
$333$	−2.12247	−	1.08145i	−0.116311	−	0.0592632i
$334$	11.9675	+	25.1029i	0.654832	+	1.37357i
$335$	−0.0243001	+	16.3021i	−0.00132765	+	0.890680i
$336$	−0.222459	−	1.05059i	−0.0121361	−	0.0573146i
$337$	1.87071	+	11.8112i	0.101904	+	0.643398i	0.984782	+	0.173795i	$0.0556030\pi$
$337$	1.87071	+	11.8112i	0.101904	+	0.643398i	−0.882878	+	0.469603i	$0.844397\pi$
$338$	−13.5350	−	4.79595i	−0.736208	−	0.260865i
$339$	13.3668	−	9.71158i	0.725987	−	0.527460i
$340$	6.38657	+	24.0154i	0.346361	+	1.30242i
$341$	−25.1308	−	18.2586i	−1.36091	−	0.988759i
$342$	0.484048	+	0.704586i	0.0261743	+	0.0380997i
$343$	−2.64406	−	2.64406i	−0.142766	−	0.142766i
$344$	0.0362501	−	0.0149906i	0.00195448	−	0.000808239i
$345$	5.86791	+	5.88543i	0.315918	+	0.316861i
$346$	−17.3114	+	16.4215i	−0.930664	+	0.882825i
$347$	−15.3433	−	30.1129i	−0.823672	−	1.61655i	−0.786784	−	0.617228i	$-0.788255\pi$
$347$	−15.3433	−	30.1129i	−0.823672	−	1.61655i	−0.0368882	−	0.999319i	$-0.511745\pi$
$348$	2.69128	+	6.05102i	0.144268	+	0.324369i
$349$		−	27.4462i		−	1.46916i	−0.678523	−	0.734579i	$-0.737380\pi$
$349$		−	27.4462i		−	1.46916i	0.678523	−	0.734579i	$-0.262620\pi$
$350$	0.911123	−	1.66545i	0.0487016	−	0.0890220i
$351$			1.68708i			0.0900496i
$352$	12.2984	+	22.7032i	0.655506	+	1.21009i
$353$	4.86385	+	9.54584i	0.258876	+	0.508074i	0.983463	−	0.181110i	$-0.0579691\pi$
$353$	4.86385	+	9.54584i	0.258876	+	0.508074i	−0.724586	+	0.689184i	$0.757969\pi$
$354$	−3.79834	−	4.00417i	−0.201880	−	0.212819i
$355$	−4.59342	−	29.2842i	−0.243794	−	1.55424i
$356$	−9.00537	+	11.1119i	−0.477284	+	0.588929i
$357$	1.05486	+	1.05486i	0.0558294	+	0.0558294i
$358$	2.67294	−	1.83630i	0.141269	−	0.0970514i
$359$	10.7538	+	7.81307i	0.567562	+	0.412358i	0.834219	−	0.551434i	$-0.185919\pi$
$359$	10.7538	+	7.81307i	0.567562	+	0.412358i	−0.266657	+	0.963792i	$0.585919\pi$
$360$	−3.31574	+	5.38571i	−0.174755	+	0.283852i
$361$	15.0757	−	10.9532i	0.793460	−	0.576482i
$362$	−6.50897	+	18.3694i	−0.342104	+	0.965477i
$363$	1.53837	+	9.71291i	0.0807437	+	0.509796i
$364$	0.845574	+	0.324962i	0.0443201	+	0.0170326i
$365$	−10.4758	+	3.38653i	−0.548328	+	0.177259i
$366$	−14.8343	+	7.07207i	−0.775401	+	0.369663i
$367$	23.2351	+	11.8389i	1.21286	+	0.617983i	0.939043	−	0.343799i	$-0.111714\pi$
$367$	23.2351	+	11.8389i	1.21286	+	0.617983i	0.273817	+	0.961782i	$0.411714\pi$
$368$	−13.8836	+	5.31708i	−0.723734	+	0.277172i
$369$	−10.9431	+	3.55562i	−0.569674	+	0.185098i
$370$	7.52995	+	0.209872i	0.391463	+	0.0109107i
$371$	2.54888	+	0.828181i	0.132331	+	0.0429970i
$372$	11.7849	+	6.81011i	0.611019	+	0.353088i
$373$	−4.62618	+	29.2086i	−0.239535	+	1.51236i	0.515621	+	0.856817i	$0.327561\pi$
$373$	−4.62618	+	29.2086i	−0.239535	+	1.51236i	−0.755156	+	0.655545i	$0.772439\pi$
$374$	−31.5186	−	17.1211i	−1.62979	−	0.885311i
$375$	−10.6485	+	3.40733i	−0.549885	+	0.175954i
$376$	−7.31071	+	0.571087i	−0.377021	+	0.0294516i
$377$	−5.51758	−	0.873899i	−0.284170	−	0.0450081i
$378$	−0.0100124	+	0.379545i	−0.000514981	+	0.0195217i
$379$	5.98387	−	18.4165i	0.307371	−	0.945990i	−0.671411	−	0.741085i	$-0.734311\pi$
$379$	5.98387	−	18.4165i	0.307371	−	0.945990i	0.978782	−	0.204905i	$-0.0656886\pi$
$380$	−2.33852	−	1.35601i	−0.119964	−	0.0695618i
$381$	0.428208	+	1.31789i	0.0219378	+	0.0675175i
$382$	36.1254	−	10.6932i	1.84834	−	0.547113i
$383$	−4.35881	+	8.55465i	−0.222725	+	0.437122i	−0.975147	−	0.221559i	$-0.928885\pi$
$383$	−4.35881	+	8.55465i	−0.222725	+	0.437122i	0.752422	+	0.658681i	$0.228885\pi$
$384$	−6.39550	−	9.33261i	−0.326369	−	0.476253i
$385$	0.842860	+	2.60727i	0.0429561	+	0.132879i
$386$	12.9642	−	1.70421i	0.659859	−	0.0867420i
$387$	−0.0136982	+	0.00216959i	−0.000696321	+	0.000110286i
$388$	−1.37687	−	1.53036i	−0.0698999	−	0.0776923i
$389$	11.3570	+	15.6316i	0.575825	+	0.792555i	0.993230	−	0.116166i	$-0.0370603\pi$
$389$	11.3570	+	15.6316i	0.575825	+	0.792555i	−0.417405	+	0.908721i	$0.637060\pi$
$390$	−2.28867	−	4.81917i	−0.115891	−	0.244028i
$391$	12.1393	−	16.7083i	0.613910	−	0.844975i
$392$	−18.0992	−	7.50926i	−0.914146	−	0.379275i
$393$	−14.0570	+	14.0570i	−0.709081	+	0.709081i
$394$	18.9008	+	3.50685i	0.952211	+	0.176673i
$395$	−29.8229	+	4.67792i	−1.50055	+	0.235372i
$396$	−2.35930	−	8.81871i	−0.118559	−	0.443157i
$397$	17.5405	−	8.93731i	0.880331	−	0.448551i	0.0454402	−	0.998967i	$-0.485531\pi$
$397$	17.5405	−	8.93731i	0.880331	−	0.448551i	0.834890	+	0.550416i	$0.185531\pi$
$398$	−8.31723	−	6.38460i	−0.416905	−	0.320031i
$399$	−0.162281			−0.00812420
$400$	2.16528	−	19.8824i	0.108264	−	0.994122i
$401$	33.9482			1.69529			0.847645	−	0.530564i	$-0.178020\pi$
$401$	33.9482			1.69529			0.847645	+	0.530564i	$0.178020\pi$
$402$	8.17856	+	6.27815i	0.407909	+	0.313126i
$403$	−10.2301	+	5.21249i	−0.509597	+	0.259652i
$404$	3.44227	+	12.8667i	0.171259	+	0.640141i
$405$	1.58349	−	1.57878i	0.0786844	−	0.0784502i
$406$	−1.23611	−	0.229348i	−0.0613473	−	0.0113823i
$407$	−7.68833	+	7.68833i	−0.381096	+	0.381096i
$408$	14.5167	+	6.02291i	0.718684	+	0.298179i
$409$	8.02687	−	11.0480i	0.396903	−	0.546291i	−0.563060	−	0.826416i	$-0.690376\pi$
$409$	8.02687	−	11.0480i	0.396903	−	0.546291i	0.959963	+	0.280125i	$0.0903760\pi$
$410$	26.4356	−	25.0019i	1.30556	−	1.23476i
$411$	−2.25757	−	3.10728i	−0.111358	−	0.153271i
$412$	20.0948	+	22.3350i	0.990002	+	1.10037i
$413$	1.03484	−	0.163903i	0.0509214	−	0.00806515i
$414$	5.21143	−	0.685070i	0.256128	−	0.0336693i
$415$	16.8744	+	0.0251530i	0.828330	+	0.00123471i
$416$	9.54053	−	0.240573i	0.467763	−	0.0117951i
$417$	−8.39810	+	16.4822i	−0.411257	+	0.807137i
$418$	3.74137	−	1.10746i	0.182996	−	0.0541674i
$419$	2.10539	+	6.47973i	0.102855	+	0.316555i	0.989221	−	0.146430i	$-0.0467783\pi$
$419$	2.10539	+	6.47973i	0.102855	+	0.316555i	−0.886366	+	0.462985i	$0.846778\pi$
$420$	−0.486285	−	1.09776i	−0.0237283	−	0.0535651i
$421$	3.96818	−	12.2128i	0.193397	−	0.595215i	−0.806594	−	0.591105i	$-0.798692\pi$
$421$	3.96818	−	12.2128i	0.193397	−	0.595215i	0.999992	−	0.00410979i	$-0.00130819\pi$
$422$	0.308116	−	11.6799i	0.0149988	−	0.568570i
$423$	2.56068	+	0.405572i	0.124505	+	0.0197196i
$424$	28.1493	−	2.19892i	1.36705	−	0.106789i
$425$	12.5395	+	24.7925i	0.608253	+	1.20261i
$426$	−16.4738	−	8.94868i	−0.798158	−	0.433565i
$427$	0.488040	−	3.08136i	0.0236179	−	0.149118i
$428$	−27.8347	−	16.0848i	−1.34544	−	0.777487i
$429$	7.32366	+	2.37960i	0.353590	+	0.114888i
$430$	0.0361860	−	0.0247803i	0.00174504	−	0.00119501i
$431$	−3.23293	+	1.05044i	−0.155725	+	0.0505981i	−0.385842	−	0.922565i	$-0.626089\pi$
$431$	−3.23293	+	1.05044i	−0.155725	+	0.0505981i	0.230117	+	0.973163i	$0.426089\pi$
$432$	1.43058	+	3.73543i	0.0688286	+	0.179721i
$433$	3.04817	+	1.55312i	0.146486	+	0.0746383i	0.525697	−	0.850672i	$-0.323805\pi$
$433$	3.04817	+	1.55312i	0.146486	+	0.0746383i	−0.379211	+	0.925310i	$0.623805\pi$
$434$	−2.33241	+	1.11195i	−0.111959	+	0.0533752i
$435$	4.34315	+	5.99661i	0.208238	+	0.287515i
$436$	12.3718	+	4.75458i	0.592500	+	0.227703i
$437$	0.351449	+	2.21896i	0.0168121	+	0.106147i
$438$	−2.32559	+	6.56322i	−0.111121	+	0.313603i
$439$	−16.2122	+	11.7788i	−0.773766	+	0.562174i	−0.903102	−	0.429427i	$-0.858715\pi$
$439$	−16.2122	+	11.7788i	−0.773766	+	0.562174i	0.129336	+	0.991601i	$0.458715\pi$
$440$	18.7027	+	21.9902i	0.891617	+	1.04834i
$441$	5.60481	+	4.07213i	0.266896	+	0.193911i
$442$	−10.9273	+	7.50704i	−0.519761	+	0.357073i
$443$	−10.2267	−	10.2267i	−0.485887	−	0.485887i	0.421119	−	0.907006i	$-0.361638\pi$
$443$	−10.2267	−	10.2267i	−0.485887	−	0.485887i	−0.907006	+	0.421119i	$0.861638\pi$
$444$	2.99965	−	3.70132i	0.142357	−	0.175657i
$445$	−7.28102	+	14.2373i	−0.345153	+	0.674912i
$446$	4.10091	+	4.32313i	0.194184	+	0.204706i
$447$	8.68407	+	17.0434i	0.410742	+	0.806127i
$448$	2.14778	+	0.00249846i	0.101473	+	0.000118041i
$449$		−	20.1223i		−	0.949629i	−0.880086	−	0.474814i	$-0.842515\pi$
$449$		−	20.1223i		−	0.949629i	0.880086	−	0.474814i	$-0.157485\pi$
$450$	−2.38152	+	6.65795i	−0.112266	+	0.313859i
$451$			52.5194i			2.47304i
$452$	13.4288	+	30.1930i	0.631636	+	1.42016i
$453$	0.358466	+	0.703530i	0.0168422	+	0.0330547i
$454$	10.6152	−	10.0695i	0.498196	−	0.472587i
$455$	1.00008	+	0.159926i	0.0468847	+	0.00749746i
$456$	−1.57991	+	0.653344i	−0.0739861	+	0.0305956i
$457$	5.50274	+	5.50274i	0.257407	+	0.257407i	0.823999	−	0.566591i	$-0.191738\pi$
$457$	5.50274	+	5.50274i	0.257407	+	0.257407i	−0.566591	+	0.823999i	$0.691738\pi$
$458$	−1.30529	−	1.89999i	−0.0609921	−	0.0887809i
$459$	−4.49542	−	3.26611i	−0.209828	−	0.152449i
$460$	−13.9572	+	9.02666i	−0.650756	+	0.420870i
$461$	1.99209	−	1.44734i	0.0927808	−	0.0674092i	−0.540428	−	0.841390i	$-0.681738\pi$
$461$	1.99209	−	1.44734i	0.0927808	−	0.0674092i	0.633209	+	0.773981i	$0.281738\pi$
$462$	1.63349	+	0.578806i	0.0759969	+	0.0269285i
$463$	5.26029	+	33.2122i	0.244467	+	1.54350i	0.738617	+	0.674125i	$0.235479\pi$
$463$	5.26029	+	33.2122i	0.244467	+	1.54350i	−0.494151	+	0.869376i	$0.664521\pi$
$464$	−12.9577	+	2.74375i	−0.601548	+	0.127375i
$465$	14.4658	+	4.72408i	0.670836	+	0.219074i
$466$	1.82234	+	3.82253i	0.0844184	+	0.177075i
$467$	−9.58390	−	4.88324i	−0.443490	−	0.225969i	0.217962	−	0.975957i	$-0.430059\pi$
$467$	−9.58390	−	4.88324i	−0.443490	−	0.225969i	−0.661452	+	0.749988i	$0.730059\pi$
$468$	−3.30015	−	0.702807i	−0.152550	−	0.0324873i
$469$	−1.86151	+	0.604841i	−0.0859565	+	0.0279290i
$470$	−7.86482	+	2.31526i	−0.362777	+	0.106795i
$471$	1.32712	+	0.431207i	0.0611504	+	0.0198690i
$472$	9.41502	−	5.76200i	0.433362	−	0.265218i
$473$	−0.00990292	+	0.0625246i	−0.000455337	+	0.00287488i
$474$	−9.11330	+	16.7769i	−0.418588	+	0.770587i
$475$	−2.87158	−	0.942507i	−0.131757	−	0.0432452i
$476$	−2.50289	+	1.62402i	−0.114720	+	0.0744368i
$477$	−9.85970	−	1.56162i	−0.451445	−	0.0715018i
$478$	31.3073	+	0.825884i	1.43196	+	0.0377751i
$479$	−7.08607	+	21.8087i	−0.323771	+	0.996464i	0.648221	+	0.761452i	$0.275513\pi$
$479$	−7.08607	+	21.8087i	−0.323771	+	0.996464i	−0.971992	+	0.235012i	$0.924487\pi$
$480$	−9.15389	−	8.72962i	−0.417816	−	0.398451i
$481$	1.24188	+	3.82210i	0.0566247	+	0.174273i
$482$	−0.0304710	−	0.102942i	−0.00138792	−	0.00468886i
$483$	−0.453010	+	0.889083i	−0.0206127	+	0.0404547i
$484$	−19.6406	−	1.03696i	−0.892755	−	0.0471344i
$485$	−1.85999	−	1.35560i	−0.0844577	−	0.0615547i
$486$	−0.184320	−	1.40215i	−0.00836093	−	0.0636028i
$487$	−16.6355	+	2.63480i	−0.753826	+	0.119394i	−0.521509	−	0.853246i	$-0.674631\pi$
$487$	−16.6355	+	2.63480i	−0.753826	+	0.119394i	−0.232317	+	0.972640i	$0.574631\pi$
$488$	−7.65421	−	31.9640i	−0.346490	−	1.44694i
$489$	−4.43407	−	6.10297i	−0.200516	−	0.275986i
$490$	−21.5344	−	4.02870i	−0.972825	−	0.181998i
$491$	−6.71450	+	9.24172i	−0.303021	+	0.417073i	−0.933189	−	0.359386i	$-0.882986\pi$
$491$	−6.71450	+	9.24172i	−0.303021	+	0.417073i	0.630168	+	0.776459i	$0.282986\pi$
$492$	−2.39658	−	22.8873i	−0.108046	−	1.03184i
$493$	13.0104	−	13.0104i	0.585959	−	0.585959i
$494$	0.263091	−	1.41798i	0.0118370	−	0.0637977i
$495$	−4.62003	−	9.10084i	−0.207655	−	0.409052i
$496$	−18.2309	+	20.2159i	−0.818590	+	0.907720i
$497$	3.17107	−	1.61574i	0.142242	−	0.0724759i
$498$	6.49852	−	8.46564i	0.291206	−	0.379354i
$499$	41.8728			1.87448			0.937242	−	0.348679i	$-0.113370\pi$
$499$	41.8728			1.87448			0.937242	+	0.348679i	$0.113370\pi$
$500$	−2.22923	−	22.2493i	−0.0996943	−	0.995018i
$501$	19.6644			0.878540
$502$	−25.7823	+	33.5866i	−1.15072	+	1.49905i
$503$	−21.0178	+	10.7091i	−0.937139	+	0.477496i	−0.854713	−	0.519101i	$-0.826267\pi$
$503$	−21.0178	+	10.7091i	−0.937139	+	0.477496i	−0.0824263	+	0.996597i	$0.526267\pi$
$504$	−0.738270	−	0.177697i	−0.0328851	−	0.00791526i
$505$	6.74072	+	13.2783i	0.299958	+	0.590877i
$506$	4.37674	−	23.5892i	0.194570	−	1.04867i
$507$	−7.17979	+	7.17979i	−0.318866	+	0.318866i
$508$	−2.75635	+	0.288624i	−0.122293	+	0.0128056i
$509$	−22.3651	+	30.7830i	−0.991318	+	1.36443i	−0.0608138	+	0.998149i	$0.519370\pi$
$509$	−22.3651	+	30.7830i	−0.991318	+	1.36443i	−0.930504	+	0.366282i	$0.880630\pi$
$510$	17.2720	+	3.23128i	0.764817	+	0.143083i
$511$	−0.776968	−	1.06941i	−0.0343711	−	0.0473077i
$512$	20.9201	−	8.62265i	0.924546	−	0.381071i
$513$	0.597018	−	0.0945584i	0.0263590	−	0.00417486i
$514$	3.85524	+	29.3274i	0.170047	+	1.29358i
$515$	27.1458	+	19.7845i	1.19619	+	0.871807i
$516$	0.00146243	−	0.0276994i	6.43801e−5	−	0.00121940i
$517$	5.37240	−	10.5439i	0.236278	−	0.463722i
$518$	0.256704	+	0.867235i	0.0112789	+	0.0381041i
$519$	5.21382	+	16.0465i	0.228862	+	0.704363i
$520$	10.3804	−	2.46936i	0.455209	−	0.108289i
$521$	2.57819	−	7.93486i	0.112953	−	0.347632i	−0.878562	−	0.477629i	$-0.841496\pi$
$521$	2.57819	−	7.93486i	0.112953	−	0.347632i	0.991515	+	0.129996i	$0.0414965\pi$
$522$	4.68120	+	0.123490i	0.204891	+	0.00540500i
$523$	−32.5180	−	5.15034i	−1.42191	−	0.225209i	−0.602365	−	0.798221i	$-0.705775\pi$
$523$	−32.5180	−	5.15034i	−1.42191	−	0.225209i	−0.819547	+	0.573012i	$0.805775\pi$
$524$	−21.6415	−	33.3532i	−0.945412	−	1.45704i
$525$	−0.785779	−	1.08834i	−0.0342942	−	0.0474991i
$526$	17.8259	−	32.8160i	0.777245	−	1.43085i
$527$	5.91572	−	37.3504i	0.257693	−	1.62701i
$528$	18.2334	−	0.941394i	0.793508	−	0.0409689i
$529$	−8.73626	−	2.83858i	−0.379837	−	0.123417i
$530$	30.2828	−	8.91473i	1.31540	−	0.387231i
$531$	−3.71161	+	1.20597i	−0.161070	+	0.0523349i
$532$	0.0676032	−	0.317443i	0.00293097	−	0.0137629i
$533$	17.2962	+	8.81284i	0.749180	+	0.381726i
$534$	4.35226	+	9.12926i	0.188341	+	0.395062i
$535$	−34.1668	−	11.1578i	−1.47716	−	0.482393i
$536$	−15.6879	+	13.3830i	−0.677616	+	0.578057i
$537$	−0.358720	−	2.26487i	−0.0154799	−	0.0977362i
$538$	−19.9327	−	7.06289i	−0.859360	−	0.304503i
$539$	25.5827	−	18.5869i	1.10193	−	0.800596i
$540$	2.42865	+	3.75522i	0.104512	+	0.161599i
$541$	−7.48590	−	5.43883i	−0.321844	−	0.233833i	0.415118	−	0.909768i	$-0.363740\pi$
$541$	−7.48590	−	5.43883i	−0.321844	−	0.233833i	−0.736962	+	0.675934i	$0.763740\pi$
$542$	7.05536	+	10.2699i	0.303054	+	0.441129i
$543$	9.74427	+	9.74427i	0.418167	+	0.418167i
$544$	−17.8290	+	25.8876i	−0.764413	+	1.10992i
$545$	14.6324	+	2.33991i	0.626784	+	0.100231i
$546$	0.464721	−	0.440832i	0.0198882	−	0.0188659i
$547$	−6.35363	−	12.4697i	−0.271662	−	0.533166i	0.714361	−	0.699777i	$-0.246717\pi$
$547$	−6.35363	−	12.4697i	−0.271662	−	0.533166i	−0.986023	+	0.166611i	$0.946717\pi$
$548$	7.01872	−	3.12168i	0.299825	−	0.133351i
$549$			11.6205i			0.495949i
$550$	25.5433	+	19.7292i	1.08917	+	0.841256i
$551$			2.00153i			0.0852679i
$552$	−0.830899	+	10.4796i	−0.0353654	+	0.446043i
$553$	−1.64547	−	3.22941i	−0.0699723	−	0.137328i
$554$	−8.83842	−	9.31737i	−0.375508	−	0.395857i
$555$	2.42527	−	4.74238i	0.102947	−	0.201303i
$556$	−28.7429	−	23.2940i	−1.21897	−	0.987885i
$557$	2.87624	+	2.87624i	0.121870	+	0.121870i	0.765411	−	0.643541i	$-0.222536\pi$
$557$	2.87624	+	2.87624i	0.121870	+	0.121870i	−0.643541	+	0.765411i	$0.722536\pi$
$558$	7.93285	−	5.44983i	0.335824	−	0.230710i
$559$	0.0189295	+	0.0137531i	0.000800630	+	0.000581692i
$560$	2.34994	−	0.493932i	0.0993031	−	0.0208724i
$561$	−20.5190	+	14.9079i	−0.866313	+	0.629413i
$562$	13.5939	−	38.3644i	0.573425	−	1.61830i
$563$	−3.30793	−	20.8854i	−0.139412	−	0.880216i	−0.953920	−	0.300062i	$-0.902993\pi$
$563$	−3.30793	−	20.8854i	−0.139412	−	0.880216i	0.814507	−	0.580153i	$-0.197007\pi$
$564$	−1.86009	+	4.84008i	−0.0783238	+	0.203804i
$565$	21.6712	+	29.9215i	0.911713	+	1.25881i
$566$	22.8840	−	10.9096i	0.961885	−	0.458567i
$567$	0.239210	+	0.121884i	0.0100459	+	0.00511864i
$568$	24.3675	−	28.4971i	1.02244	−	1.19571i
$569$	3.40048	−	1.10488i	0.142556	−	0.0463192i	−0.236870	−	0.971541i	$-0.576122\pi$
$569$	3.40048	−	1.10488i	0.142556	−	0.0463192i	0.379426	+	0.925222i	$0.376122\pi$
$570$	−1.57711	+	1.08001i	−0.0660581	+	0.0452368i
$571$	−10.6049	−	3.44576i	−0.443803	−	0.144200i	0.0785864	−	0.996907i	$-0.474959\pi$
$571$	−10.6049	−	3.44576i	−0.443803	−	0.144200i	−0.522390	+	0.852707i	$0.674959\pi$
$572$	−7.70572	+	13.3348i	−0.322192	+	0.557554i
$573$	4.16743	−	26.3121i	0.174097	−	1.09920i
$574$	3.83884	+	2.08529i	0.160230	+	0.0870381i
$575$	−13.1798	+	13.1014i	−0.549635	+	0.546367i
$576$	−7.90296	+	1.24228i	−0.329290	+	0.0517618i
$577$	−38.4820	−	6.09495i	−1.60203	−	0.253736i	−0.709491	−	0.704714i	$-0.751075\pi$
$577$	−38.4820	−	6.09495i	−1.60203	−	0.253736i	−0.892535	+	0.450979i	$0.851075\pi$
$578$	0.517501	−	19.6172i	0.0215252	−	0.815968i
$579$	2.85715	−	8.79340i	0.118739	−	0.365441i
$580$	−13.5394	+	5.99770i	−0.562195	+	0.249041i
$581$	0.626072	+	1.92685i	0.0259738	+	0.0799393i
$582$	−1.39578	+	0.413153i	−0.0578567	+	0.0171257i
$583$	−20.6860	+	40.5986i	−0.856727	+	1.68142i
$584$	−11.8697	−	7.28329i	−0.491174	−	0.301385i
$585$	−3.77242	−	0.00562319i	−0.155970	−	0.000232490i
$586$	−2.45958	+	0.323325i	−0.101604	+	0.0133564i
$587$	−15.7614	+	2.49636i	−0.650542	+	0.103036i	−0.472979	−	0.881074i	$-0.656821\pi$
$587$	−15.7614	+	2.49636i	−0.650542	+	0.103036i	−0.177563	+	0.984109i	$0.556821\pi$
$588$	−10.3005	+	9.26738i	−0.424785	+	0.382180i
$589$	2.41796	+	3.32804i	0.0996303	+	0.137129i
$590$	8.96626	−	8.48000i	0.369135	−	0.349116i
$591$	7.98977	−	10.9970i	0.328655	−	0.452355i
$592$	5.99068	+	7.40962i	0.246215	+	0.304533i
$593$	6.24575	−	6.24575i	0.256482	−	0.256482i	−0.567140	−	0.823622i	$-0.691950\pi$
$593$	6.24575	−	6.24575i	0.256482	−	0.256482i	0.823622	+	0.567140i	$0.191950\pi$
$594$	−6.34675	−	1.17757i	−0.260410	−	0.0483165i
$595$	−2.36226	+	2.35523i	−0.0968433	+	0.0965550i
$596$	−36.9569	+	9.88721i	−1.51381	+	0.404996i
$597$	−6.60606	+	3.36596i	−0.270368	+	0.137759i
$598$	−7.03420	−	5.39970i	−0.287650	−	0.220810i
$599$	−19.3797			−0.791832			−0.395916	−	0.918287i	$-0.629573\pi$
$599$	−19.3797			−0.791832			−0.395916	+	0.918287i	$0.629573\pi$
$600$	−12.0317	−	7.43216i	−0.491194	−	0.303417i
$601$	21.8893			0.892883			0.446441	−	0.894813i	$-0.352691\pi$
$601$	21.8893			0.892883			0.446441	+	0.894813i	$0.352691\pi$
$602$	0.00417697	+	0.00320639i	0.000170240	+	0.000130683i
$603$	6.49592	−	3.30984i	0.264534	−	0.134787i
$604$	−1.52553	+	0.408130i	−0.0620729	+	0.0166066i
$605$	−21.7238	+	3.40753i	−0.883199	+	0.138536i
$606$	9.26004	+	1.71810i	0.376163	+	0.0697932i
$607$	26.4147	−	26.4147i	1.07214	−	1.07214i	0.0749533	−	0.997187i	$-0.476119\pi$
$607$	26.4147	−	26.4147i	1.07214	−	1.07214i	0.997187	−	0.0749533i	$-0.0238808\pi$
$608$	−0.619866	−	3.36269i	−0.0251389	−	0.136375i
$609$	−0.522530	+	0.719201i	−0.0211740	+	0.0291435i
$610$	−15.7642	−	33.1940i	−0.638272	−	1.34399i
$611$	−2.57093	−	3.53858i	−0.104009	−	0.143156i
$612$	8.26166	−	7.43304i	0.333958	−	0.300463i
$613$	−23.7116	+	3.75555i	−0.957703	+	0.151685i	−0.615671	−	0.788003i	$-0.711115\pi$
$613$	−23.7116	+	3.75555i	−0.957703	+	0.151685i	−0.342032	+	0.939688i	$0.611115\pi$
$614$	−23.1688	+	3.04566i	−0.935015	+	0.122913i
$615$	−7.91413	−	24.4813i	−0.319129	−	0.987181i
$616$	−1.81271	+	2.95421i	−0.0730360	+	0.119028i
$617$	19.1096	−	37.5048i	0.769325	−	1.50989i	−0.0885751	−	0.996070i	$-0.528231\pi$
$617$	19.1096	−	37.5048i	0.769325	−	1.50989i	0.857900	−	0.513816i	$-0.171769\pi$
$618$	20.3708	−	6.02980i	0.819433	−	0.242554i
$619$	−0.176865	−	0.544334i	−0.00710880	−	0.0218786i	0.947439	−	0.319936i	$-0.103661\pi$
$619$	−0.176865	−	0.544334i	−0.00710880	−	0.0218786i	−0.954548	+	0.298057i	$0.903661\pi$
$620$	−15.2671	+	26.3291i	−0.613143	+	1.05740i
$621$	1.14854	−	3.53483i	0.0460891	−	0.141848i
$622$	0.210194	−	7.96795i	0.00842801	−	0.319486i
$623$	−1.89632	−	0.300347i	−0.0759744	−	0.0120332i
$624$	2.74957	−	6.16276i	0.110071	−	0.246708i
$625$	−7.58352	−	23.8221i	−0.303341	−	0.952882i
$626$	−22.2910	−	12.1086i	−0.890928	−	0.483958i
$627$	0.431605	−	2.72505i	0.0172366	−	0.108828i
$628$	−1.39635	+	2.41639i	−0.0557205	+	0.0964243i
$629$	−12.5887	−	4.09030i	−0.501943	−	0.163091i
$630$	−0.848654	−	0.0236534i	−0.0338112	−	0.000942373i
$631$	−12.1577	+	3.95028i	−0.483991	+	0.157258i	−0.540842	−	0.841124i	$-0.681894\pi$
$631$	−12.1577	+	3.95028i	−0.483991	+	0.157258i	0.0568504	+	0.998383i	$0.481894\pi$
$632$	−29.0213	−	24.8158i	−1.15441	−	0.987118i
$633$	−7.36134	−	3.75079i	−0.292587	−	0.149080i
$634$	11.6766	−	5.56668i	0.463738	−	0.221081i
$635$	−2.94831	+	0.953109i	−0.117000	+	0.0378230i
$636$	7.16211	−	18.6363i	0.283996	−	0.738979i
$637$	−1.82840	−	11.5441i	−0.0724438	−	0.457392i
$638$	7.13884	−	20.1470i	0.282629	−	0.797629i
$639$	−10.7247	+	7.79192i	−0.424261	+	0.308244i
$640$	20.8896	−	14.2696i	0.825736	−	0.564057i
$641$	−0.248557	−	0.180587i	−0.00981740	−	0.00713276i	0.582866	−	0.812568i	$-0.301931\pi$
$641$	−0.248557	−	0.180587i	−0.00981740	−	0.00713276i	−0.592683	+	0.805436i	$0.701931\pi$
$642$	−18.7366	+	12.8719i	−0.739474	+	0.508015i
$643$	16.7114	+	16.7114i	0.659034	+	0.659034i	0.955152	−	0.296117i	$-0.0956920\pi$
$643$	16.7114	+	16.7114i	0.659034	+	0.659034i	−0.296117	+	0.955152i	$0.595692\pi$
$644$	−1.55045	−	1.25652i	−0.0610963	−	0.0495140i
$645$	−0.00480568	−	0.0306374i	−0.000189224	−	0.00120635i
$646$	3.26903	+	3.44618i	0.128618	+	0.135588i
$647$	0.506217	+	0.993506i	0.0199014	+	0.0390588i	0.900743	−	0.434352i	$-0.143023\pi$
$647$	0.506217	+	0.993506i	0.0199014	+	0.0390588i	−0.880842	+	0.473411i	$0.843023\pi$
$648$	2.81958	+	0.223556i	0.110764	+	0.00878210i
$649$			17.8132i			0.699229i
$650$	10.7836	−	5.10155i	0.422968	−	0.200099i
$651$			1.82710i			0.0716096i
$652$	13.7854	−	6.13125i	0.539877	−	0.240118i
$653$	7.76292	+	15.2356i	0.303786	+	0.596214i	0.991551	−	0.129720i	$-0.0414077\pi$
$653$	7.76292	+	15.2356i	0.303786	+	0.596214i	−0.687764	+	0.725934i	$0.741408\pi$
$654$	6.79942	−	6.44990i	0.265878	−	0.252211i
$655$	−31.3855	−	31.4792i	−1.22633	−	1.22999i
$656$	45.7691	+	4.84641i	1.78698	+	0.189221i
$657$	3.48153	+	3.48153i	0.135828	+	0.135828i
$658$	−0.557385	−	0.811337i	−0.0217291	−	0.0316292i
$659$	19.1442	+	13.9091i	0.745752	+	0.541820i	0.894507	−	0.447054i	$-0.147527\pi$
$659$	19.1442	+	13.9091i	0.745752	+	0.541820i	−0.148755	+	0.988874i	$0.547527\pi$
$660$	19.7271	−	5.24616i	0.767875	−	0.204206i
$661$	11.9962	−	8.71577i	0.466599	−	0.339004i	−0.329515	−	0.944150i	$-0.606885\pi$
$661$	11.9962	−	8.71577i	0.466599	−	0.339004i	0.796115	+	0.605146i	$0.206885\pi$
$662$	9.91511	+	3.51329i	0.385362	+	0.136548i
$663$	1.46649	+	9.25908i	0.0569539	+	0.359593i
$664$	13.8528	+	16.2386i	0.537591	+	0.630180i
$665$	0.000540897	−	0.362870i	2.09751e−5	−	0.0140715i
$666$	−1.44972	−	3.04091i	−0.0561754	−	0.117833i
$667$	10.9657	+	5.58730i	0.424594	+	0.216341i
$668$	−8.19183	+	38.4662i	−0.316951	+	1.48830i
$669$	4.00726	−	1.30204i	0.154930	−	0.0503397i
$670$	−14.0656	+	18.2669i	−0.543402	+	0.705711i
$671$	50.4448	+	16.3905i	1.94740	+	0.632748i
$672$	0.655149	−	1.37013i	0.0252729	−	0.0528539i
$673$	5.11813	−	32.3146i	0.197289	−	1.24564i	−0.667923	−	0.744231i	$-0.732816\pi$
$673$	5.11813	−	32.3146i	0.197289	−	1.24564i	0.865212	−	0.501406i	$-0.167184\pi$
$674$	−8.07250	+	14.8608i	−0.310941	+	0.572417i
$675$	3.52498	+	3.54606i	0.135676	+	0.136488i
$676$	−11.0537	−	17.0356i	−0.425141	−	0.655216i
$677$	−16.7410	−	2.65152i	−0.643410	−	0.101906i	−0.173801	−	0.984781i	$-0.555605\pi$
$677$	−16.7410	−	2.65152i	−0.643410	−	0.101906i	−0.469609	+	0.882875i	$0.655605\pi$
$678$	23.3580	+	0.616182i	0.897057	+	0.0236643i
$679$	0.0853926	−	0.262811i	0.00327707	−	0.0100858i
$680$	−13.5160	+	32.4402i	−0.518315	+	1.24403i
$681$	−3.19708	−	9.83960i	−0.122512	−	0.377054i
$682$	−12.4687	−	42.1236i	−0.477451	−	1.61300i
$683$	−10.1740	+	19.9676i	−0.389296	+	0.764037i	−0.999604	−	0.0281270i	$-0.991046\pi$
$683$	−10.1740	+	19.9676i	−0.389296	+	0.764037i	0.610308	+	0.792164i	$0.291046\pi$
$684$	−0.0637381	+	1.20724i	−0.00243709	+	0.0461599i
$685$	6.95561	−	5.03772i	0.265760	−	0.192482i
$686$	−0.689220	−	5.24300i	−0.0263146	−	0.200179i
$687$	−1.60992	+	0.254987i	−0.0614224	+	0.00972836i
$688$	0.0535745	+	0.0143998i	0.00204251	+	0.000548987i
$689$	9.89915	+	13.6250i	0.377128	+	0.519072i
$690$	1.51449	+	11.6554i	0.0576557	+	0.443713i
$691$	9.13509	−	12.5734i	0.347515	−	0.478314i	−0.599102	−	0.800672i	$-0.704476\pi$
$691$	9.13509	−	12.5734i	0.347515	−	0.478314i	0.946618	+	0.322359i	$0.104476\pi$
$692$	−33.5611	+	3.51426i	−1.27580	+	0.133592i
$693$	0.866504	−	0.866504i	0.0329158	−	0.0329158i
$694$	8.71916	−	46.9935i	0.330975	−	1.78385i
$695$	−36.8273	−	18.8336i	−1.39694	−	0.714400i
$696$	−2.19167	+	9.10561i	−0.0830749	+	0.345147i
$697$	−56.9675	+	29.0264i	−2.15780	+	1.09945i
$698$	23.6349	−	30.7892i	0.894593	−	1.16539i
$699$	2.99438			0.113258
$700$	2.45628	−	1.08371i	0.0928387	−	0.0409602i
$701$	−10.8238			−0.408809			−0.204404	−	0.978887i	$-0.565526\pi$
$701$	−10.8238			−0.408809			−0.204404	+	0.978887i	$0.565526\pi$
$702$	−1.45281	+	1.89257i	−0.0548326	+	0.0714306i
$703$	1.28295	−	0.653695i	0.0483873	−	0.0246546i
$704$	−5.75422	+	36.0592i	−0.216870	+	1.35903i
$705$	−0.915421	+	5.72450i	−0.0344767	+	0.215597i
$706$	−2.76398	+	14.8970i	−0.104024	+	0.560656i
$707$	−1.26425	+	1.26425i	−0.0475469	+	0.0475469i
$708$	−0.812859	−	7.76279i	−0.0305491	−	0.291744i
$709$	1.47386	−	2.02859i	0.0553519	−	0.0761853i	−0.780444	−	0.625226i	$-0.785007\pi$
$709$	1.47386	−	2.02859i	0.0553519	−	0.0761853i	0.835796	+	0.549041i	$0.185007\pi$
$710$	20.0647	−	36.8067i	0.753016	−	1.38133i
$711$	7.93527	+	10.9220i	0.297596	+	0.409605i
$712$	−19.6711	+	4.71052i	−0.737206	+	0.176534i
$713$	24.9830	−	3.95692i	0.935621	−	0.148188i
$714$	0.274969	+	2.09173i	0.0102905	+	0.0782812i
$715$	−5.34535	+	16.3682i	−0.199905	+	0.612138i
$716$	4.57982	+	0.241799i	0.171156	+	0.00903645i
$717$	10.0538	−	19.7316i	0.375464	−	0.736890i
$718$	5.33550	+	18.0252i	0.199119	+	0.672694i
$719$	−2.03075	−	6.25002i	−0.0757344	−	0.233086i	0.906022	−	0.423231i	$-0.139104\pi$
$719$	−2.03075	−	6.25002i	−0.0757344	−	0.233086i	−0.981756	+	0.190145i	$0.939104\pi$
$720$	−8.35744	+	3.18641i	−0.311463	+	0.118750i
$721$	−1.24627	+	3.83563i	−0.0464135	+	0.142846i
$722$	26.3442	+	0.694958i	0.980429	+	0.0258636i
$723$	−0.0749780	−	0.0118754i	−0.00278846	−	0.000441649i
$724$	−23.1204	+	15.0018i	−0.859262	+	0.557538i
$725$	−13.4233	+	9.69158i	−0.498528	+	0.359936i
$726$	−6.63839	+	12.2207i	−0.246374	+	0.453554i
$727$	4.93599	−	31.1646i	0.183066	−	1.15583i	−0.709430	−	0.704776i	$-0.751048\pi$
$727$	4.93599	−	31.1646i	0.183066	−	1.15583i	0.892496	−	0.451055i	$-0.148952\pi$
$728$	0.668732	+	1.09270i	0.0247849	+	0.0404981i
$729$	−0.951057	−	0.309017i	−0.0352243	−	0.0114451i
$730$	−14.6680	−	5.22205i	−0.542889	−	0.193277i
$731$	−0.0732932	+	0.0238144i	−0.00271085	+	0.000880808i
$732$	−22.7312	−	4.84088i	−0.840169	−	0.178924i
$733$	37.4928	+	19.1035i	1.38483	+	0.705605i	0.978137	−	0.207961i	$-0.0666826\pi$
$733$	37.4928	+	19.1035i	1.38483	+	0.705605i	0.406691	+	0.913566i	$0.366683\pi$
$734$	15.8703	+	33.2894i	0.585784	+	1.22874i
$735$	−9.12423	+	12.5191i	−0.336552	+	0.461776i
$736$	−20.1534	−	5.99098i	−0.742866	−	0.220830i
$737$	−5.20569	−	32.8674i	−0.191754	−	1.21069i
$738$	−15.3379	−	5.43477i	−0.564595	−	0.200057i
$739$	22.9251	−	16.6560i	0.843313	−	0.612702i	−0.0799814	−	0.996796i	$-0.525486\pi$
$739$	22.9251	−	16.6560i	0.843313	−	0.612702i	0.923294	+	0.384094i	$0.125486\pi$
$740$	8.26640	+	6.71975i	0.303879	+	0.247023i
$741$	−0.825013	−	0.599407i	−0.0303076	−	0.0220198i
$742$	2.14617	+	3.12399i	0.0787882	+	0.114685i
$743$	35.9683	+	35.9683i	1.31955	+	1.31955i	0.914133	+	0.405414i	$0.132873\pi$
$743$	35.9683	+	35.9683i	1.31955	+	1.31955i	0.405414	+	0.914133i	$0.367127\pi$
$744$	7.35592	+	17.7880i	0.269681	+	0.652140i
$745$	−38.1392	+	19.3613i	−1.39731	+	0.709345i
$746$	−30.3422	+	28.7825i	−1.11091	+	1.05380i
$747$	−3.42602	−	6.72394i	−0.125351	−	0.246016i
$748$	−20.6141	−	46.3483i	−0.753725	−	1.69466i
$749$		−	4.31542i		−	0.157682i
$750$	−14.8797	−	5.34743i	−0.543329	−	0.195261i
$751$			4.28864i			0.156495i	0.996934	+	0.0782473i	$0.0249324\pi$
$751$			4.28864i			0.156495i	−0.996934	+	0.0782473i	$0.975068\pi$
$752$	−8.69297	−	5.65487i	−0.317000	−	0.206212i
$753$	13.5924	+	26.6766i	0.495335	+	0.972149i
$754$	−5.43710	−	5.73173i	−0.198008	−	0.208737i
$755$	−1.57433	+	0.799209i	−0.0572959	+	0.0290862i
$756$	−0.338072	+	0.417153i	−0.0122956	+	0.0151717i
$757$	12.7121	+	12.7121i	0.462030	+	0.462030i	0.899320	−	0.437291i	$-0.144062\pi$
$757$	12.7121	+	12.7121i	0.462030	+	0.462030i	−0.437291	+	0.899320i	$0.644062\pi$
$758$	22.5718	−	15.5067i	0.819845	−	0.563230i
$759$	−13.7248	−	9.97165i	−0.498179	−	0.361948i
$760$	−1.45565	−	3.53496i	−0.0528021	−	0.128227i
$761$	−27.1391	+	19.7177i	−0.983792	+	0.714766i	−0.958553	−	0.284915i	$-0.908035\pi$
$761$	−27.1391	+	19.7177i	−0.983792	+	0.714766i	−0.0252388	+	0.999681i	$0.508035\pi$
$762$	−0.654517	+	1.84716i	−0.0237106	+	0.0669155i
$763$	0.278321	+	1.75725i	0.0100759	+	0.0636167i
$764$	49.7340	+	19.1132i	1.79931	+	0.691492i
$765$	7.31823	−	10.0412i	0.264591	−	0.363039i
$766$	−12.2565	+	5.84311i	−0.442844	+	0.211120i
$767$	5.86641	+	2.98908i	0.211824	+	0.107930i
$768$	0.862157	−	15.9768i	0.0311104	−	0.576511i
$769$	38.5837	−	12.5366i	1.39136	−	0.452081i	0.484975	−	0.874528i	$-0.338829\pi$
$769$	38.5837	−	12.5366i	1.39136	−	0.452081i	0.906388	+	0.422447i	$0.138829\pi$
$770$	−1.29969	+	3.65067i	−0.0468377	+	0.131561i
$771$	19.8923	+	6.46340i	0.716403	+	0.232774i
$772$	16.0108	+	9.25213i	0.576242	+	0.332992i
$773$	1.29494	−	8.17594i	0.0465758	−	0.294068i	−0.953395	−	0.301725i	$-0.902437\pi$
$773$	1.29494	−	8.17594i	0.0465758	−	0.294068i	0.999971	+	0.00765730i	$0.00243742\pi$
$774$	−0.0172351	−	0.00936220i	−0.000619501	−	0.000336517i
$775$	−10.6116	+	32.3308i	−0.381179	+	1.16136i
$776$	−0.226728	−	2.90243i	−0.00813906	−	0.104191i
$777$	0.631655	+	0.100044i	0.0226605	+	0.00358907i
$778$	−0.720583	+	27.3156i	−0.0258342	+	0.979311i
$779$	2.14923	−	6.61466i	0.0770043	−	0.236995i
$780$	1.58252	−	7.37702i	0.0566634	−	0.264140i
$781$	18.6980	+	57.5465i	0.669066	+	2.05917i
$782$	28.0060	−	8.28986i	1.00149	−	0.296445i
$783$	1.50328	−	2.95036i	0.0537229	−	0.105437i
$784$	−13.8372	−	24.0098i	−0.494187	−	0.857492i
$785$	−0.968630	+	2.96609i	−0.0345719	+	0.105864i
$786$	−27.8742	+	3.66421i	−0.994239	+	0.130698i
$787$	12.9653	−	2.05351i	0.462164	−	0.0731996i	0.0789893	−	0.996875i	$-0.474831\pi$
$787$	12.9653	−	2.05351i	0.462164	−	0.0731996i	0.383175	+	0.923676i	$0.374831\pi$
$788$	18.1832	+	20.2102i	0.647748	+	0.719959i
$789$	−15.5216	−	21.3637i	−0.552584	−	0.760567i
$790$	−37.4838	−	20.4339i	−1.33361	−	0.727004i
$791$	−2.60729	+	3.58862i	−0.0927045	+	0.127597i
$792$	4.94744	−	11.9245i	0.175799	−	0.423720i
$793$	13.8626	−	13.8626i	0.492275	−	0.492275i
$794$	27.3732	+	5.07881i	0.971439	+	0.180240i
$795$	3.52475	−	22.0417i	0.125010	−	0.781739i
$796$	−3.83230	−	14.3245i	−0.135832	−	0.507720i
$797$	−30.9282	+	15.7587i	−1.09553	+	0.558202i	−0.905831	−	0.423640i	$-0.860752\pi$
$797$	−30.9282	+	15.7587i	−1.09553	+	0.558202i	−0.189702	+	0.981842i	$0.560752\pi$
$798$	−0.182047	−	0.139746i	−0.00644440	−	0.00494695i
$799$	14.4062			0.509653
$800$	19.5505	−	20.4396i	0.691215	−	0.722649i
$801$	7.15142			0.252683
$802$	38.0832	+	29.2340i	1.34476	+	1.03229i
$803$	20.0241	−	10.2028i	0.706634	−	0.360048i
$804$	3.76840	+	14.0857i	0.132901	+	0.496765i
$805$	−1.98654	−	1.01592i	−0.0700162	−	0.0358066i
$806$	−15.9648	−	2.96210i	−0.562336	−	0.104336i
$807$	−10.5735	+	10.5735i	−0.372205	+	0.372205i
$808$	−7.21841	+	17.3981i	−0.253943	+	0.612065i
$809$	−11.2361	+	15.4652i	−0.395042	+	0.543728i	−0.959491	−	0.281739i	$-0.909089\pi$
$809$	−11.2361	+	15.4652i	−0.395042	+	0.543728i	0.564449	+	0.825468i	$0.309089\pi$
$810$	3.13591	−	0.407478i	0.110185	−	0.0143173i
$811$	−8.18655	−	11.2678i	−0.287469	−	0.395667i	0.640721	−	0.767774i	$-0.278635\pi$
$811$	−8.18655	−	11.2678i	−0.287469	−	0.395667i	−0.928190	+	0.372107i	$0.878635\pi$
$812$	−1.18918	−	1.32174i	−0.0417319	−	0.0463842i
$813$	8.70199	−	1.37826i	0.305192	−	0.0483377i
$814$	−15.2455	+	2.00410i	−0.534354	+	0.0702437i
$815$	13.6614	−	9.89453i	0.478539	−	0.346590i
$816$	11.0984	+	19.2574i	0.388520	+	0.674144i
$817$	0.00380592	−	0.00746953i	0.000133152	−	0.000261326i
$818$	18.5185	−	5.48151i	0.647482	−	0.191656i
$819$	−0.139964	−	0.430766i	−0.00489075	−	0.0150522i
$820$	51.1856	−	5.28263i	1.78748	−	0.184478i
$821$	5.48325	−	16.8757i	0.191367	−	0.588967i	−0.808633	−	0.588314i	$-0.799792\pi$
$821$	5.48325	−	16.8757i	0.191367	−	0.588967i	1.00000		0.000653180i	$-0.000207914\pi$
$822$	0.143239	−	5.42984i	0.00499603	−	0.189387i
$823$	8.33927	+	1.32081i	0.290689	+	0.0460405i	0.300076	−	0.953915i	$-0.402988\pi$
$823$	8.33927	+	1.32081i	0.290689	+	0.0460405i	−0.00938714	+	0.999956i	$0.502988\pi$
$824$	3.30900	+	42.3599i	0.115275	+	1.47568i
$825$	20.3655	−	10.3004i	0.709034	−	0.358613i
$826$	1.30204	+	0.707275i	0.0453036	+	0.0246092i
$827$	8.69708	−	54.9112i	0.302427	−	1.90945i	−0.101827	−	0.994802i	$-0.532469\pi$
$827$	8.69708	−	54.9112i	0.302427	−	1.90945i	0.404254	−	0.914647i	$-0.367531\pi$
$828$	6.43614	+	3.71924i	0.223671	+	0.129252i
$829$	19.0441	+	6.18779i	0.661428	+	0.214911i	0.620446	−	0.784249i	$-0.286952\pi$
$829$	19.0441	+	6.18779i	0.661428	+	0.214911i	0.0409816	+	0.999160i	$0.486952\pi$
$830$	18.9081	+	14.5593i	0.656308	+	0.505362i
$831$	−8.63659	+	2.80620i	−0.299600	+	0.0973460i
$832$	10.9098	+	7.94582i	0.378228	+	0.275472i
$833$	34.3002	+	17.4768i	1.18843	+	0.605536i
$834$	−23.6144	+	11.2579i	−0.817701	+	0.389829i
$835$	−0.0655432	+	43.9708i	−0.00226822	+	1.52167i
$836$	5.15076	+	1.97948i	0.178143	+	0.0684618i
$837$	−1.06462	−	6.72175i	−0.0367987	−	0.232338i
$838$	−3.21809	+	9.08201i	−0.111167	+	0.313733i
$839$	−15.9259	+	11.5708i	−0.549822	+	0.399469i	−0.827720	−	0.561142i	$-0.810362\pi$
$839$	−15.9259	+	11.5708i	−0.549822	+	0.399469i	0.277898	+	0.960611i	$0.410362\pi$
$840$	0.399803	−	1.65023i	0.0137945	−	0.0569382i
$841$	−14.5911	−	10.6010i	−0.503140	−	0.365553i
$842$	14.9684	−	10.2832i	0.515845	−	0.354383i
$843$	−20.3508	−	20.3508i	−0.700919	−	0.700919i
$844$	10.4036	−	12.8373i	0.358108	−	0.441876i
$845$	−16.0306	−	16.0784i	−0.551468	−	0.553115i
$846$	2.52333	+	2.66007i	0.0867539	+	0.0914550i
$847$	−1.19860	−	2.35239i	−0.0411845	−	0.0808291i
$848$	33.4716	+	21.7736i	1.14942	+	0.747709i
$849$		−	17.9262i		−	0.615225i
$850$	−7.28292	+	38.6105i	−0.249802	+	1.32433i
$851$		−	8.85366i		−	0.303499i
$852$	−10.7743	−	24.2249i	−0.369123	−	0.829930i
$853$	−3.78263	−	7.42382i	−0.129515	−	0.254187i	0.817138	−	0.576442i	$-0.195559\pi$
$853$	−3.78263	−	7.42382i	−0.129515	−	0.254187i	−0.946653	+	0.322255i	$0.895559\pi$
$854$	3.20096	−	3.03642i	0.109534	−	0.103904i
$855$	0.209449	+	1.33529i	0.00716300	+	0.0456659i
$856$	−17.3739	−	42.0135i	−0.593828	−	1.43599i
$857$	−20.2813	−	20.2813i	−0.692795	−	0.692795i	0.270051	−	0.962846i	$-0.412959\pi$
$857$	−20.2813	−	20.2813i	−0.692795	−	0.692795i	−0.962846	+	0.270051i	$0.912959\pi$
$858$	6.16655	+	8.97611i	0.210523	+	0.306439i
$859$	7.51815	+	5.46225i	0.256516	+	0.186370i	0.708610	−	0.705601i	$-0.249323\pi$
$859$	7.51815	+	5.46225i	0.256516	+	0.186370i	−0.452094	+	0.891970i	$0.649323\pi$
$860$	0.0619328	+	0.00336242i	0.00211189	+	0.000114658i
$861$	2.49914	−	1.81573i	0.0851704	−	0.0618799i
$862$	−4.53129	−	1.60560i	−0.154336	−	0.0546871i
$863$	−1.61317	−	10.1852i	−0.0549130	−	0.346707i	−0.999813	−	0.0193475i	$-0.993841\pi$
$863$	−1.61317	−	10.1852i	−0.0549130	−	0.346707i	0.944900	−	0.327360i	$-0.106159\pi$
$864$	−1.61189	+	5.42234i	−0.0548376	+	0.184472i
$865$	−35.8984	+	11.6050i	−1.22058	+	0.394581i
$866$	2.08201	+	4.36719i	0.0707494	+	0.148403i
$867$	−12.3639	−	6.29970i	−0.419899	−	0.213949i
$868$	−3.57405	−	0.761136i	−0.121311	−	0.0258346i
$869$	58.6051	−	19.0419i	1.98804	−	0.645954i
$870$	−0.291734	+	10.4671i	−0.00989071	+	0.354867i
$871$	−11.6977	−	3.80082i	−0.396363	−	0.128786i
$872$	9.78435	+	15.9875i	0.331340	+	0.541404i
$873$	−0.161017	+	1.01662i	−0.00544959	+	0.0344074i
$874$	−1.51657	+	2.79189i	−0.0512988	+	0.0944369i
$875$	2.43622	−	1.75343i	0.0823592	−	0.0592766i
$876$	−8.26069	+	5.36000i	−0.279103	+	0.181098i
$877$	−13.9619	−	2.21134i	−0.471458	−	0.0746716i	−0.0838154	−	0.996481i	$-0.526711\pi$
$877$	−13.9619	−	2.21134i	−0.471458	−	0.0746716i	−0.387643	+	0.921810i	$0.626711\pi$
$878$	−28.3301	−	0.747346i	−0.956094	−	0.0252217i
$879$	−0.542062	+	1.66829i	−0.0182833	+	0.0562702i
$880$	2.04425	+	40.7743i	0.0689115	+	1.37450i
$881$	−7.58893	−	23.3563i	−0.255677	−	0.786894i	−0.993695	−	0.112113i	$-0.964238\pi$
$881$	−7.58893	−	23.3563i	−0.255677	−	0.786894i	0.738018	−	0.674781i	$-0.235762\pi$
$882$	2.78084	+	9.39464i	0.0936356	+	0.316334i
$883$	10.6317	−	20.8659i	0.357786	−	0.702195i	−0.640023	−	0.768356i	$-0.721075\pi$
$883$	10.6317	−	20.8659i	0.357786	−	0.702195i	0.997809	+	0.0661610i	$0.0210751\pi$
$884$	−18.7229	−	0.988507i	−0.629720	−	0.0332471i
$885$	−2.68427	−	8.30342i	−0.0902307	−	0.279116i
$886$	−2.66578	−	20.2790i	−0.0895587	−	0.681287i
$887$	−9.96921	+	1.57897i	−0.334733	+	0.0530166i	−0.321539	−	0.946896i	$-0.604200\pi$
$887$	−9.96921	+	1.57897i	−0.334733	+	0.0530166i	−0.0131946	+	0.999913i	$0.504200\pi$
$888$	6.55236	−	1.56905i	0.219883	−	0.0526539i
$889$	−0.218671	−	0.300974i	−0.00733398	−	0.0100944i
$890$	−20.4281	+	9.70151i	−0.684752	+	0.325195i
$891$	−2.68290	+	3.69270i	−0.0898806	+	0.123710i
$892$	0.877609	+	8.38115i	0.0293845	+	0.280622i
$893$	−1.10812	+	1.10812i	−0.0370820	+	0.0370820i
$894$	−4.93490	+	26.5976i	−0.165048	+	0.889556i
$895$	5.06558	−	0.794571i	0.169324	−	0.0265596i
$896$	2.40723	+	1.85233i	0.0804200	+	0.0618820i
$897$	−5.58700	+	2.84672i	−0.186544	+	0.0950491i
$898$	17.3280	−	22.5732i	0.578243	−	0.753279i
$899$	22.5349			0.751582
$900$	−8.40501	+	5.41810i	−0.280167	+	0.180603i
$901$	−55.4697			−1.84797
$902$	−45.2263	+	58.9165i	−1.50587	+	1.96170i
$903$	0.00331761	−	0.00169041i	0.000110403	−	5.62532e-5i
$904$	−10.9358	+	45.4346i	−0.363721	+	1.51113i
$905$	−21.8213	+	21.7564i	−0.725365	+	0.723206i
$906$	−0.203706	+	1.09791i	−0.00676768	+	0.0364757i
$907$	−2.65824	+	2.65824i	−0.0882653	+	0.0882653i	−0.749861	−	0.661596i	$-0.769880\pi$
$907$	−2.65824	+	2.65824i	−0.0882653	+	0.0882653i	0.661596	+	0.749861i	$0.269880\pi$
$908$	20.5794	−	2.15492i	0.682952	−	0.0715134i
$909$	3.91441	−	5.38772i	0.129833	−	0.178699i
$910$	0.984180	+	1.04061i	0.0326253	+	0.0344960i
$911$	−5.17032	−	7.11634i	−0.171300	−	0.235775i	0.714732	−	0.699399i	$-0.246549\pi$
$911$	−5.17032	−	7.11634i	−0.171300	−	0.235775i	−0.886032	+	0.463624i	$0.846549\pi$
$912$	−2.33497	−	0.627594i	−0.0773185	−	0.0207817i
$913$	−34.0211	+	5.38842i	−1.12594	+	0.178331i
$914$	1.43439	+	10.9116i	0.0474453	+	0.360924i
$915$	−25.9841	−	0.0387321i	−0.859009	−	0.00128044i
$916$	0.171877	−	3.25545i	0.00567897	−	0.107563i
$917$	2.42300	−	4.75540i	0.0800145	−	0.157037i
$918$	−2.23041	−	7.53511i	−0.0736145	−	0.248696i
$919$	−5.44982	−	16.7728i	−0.179773	−	0.553284i	0.820046	−	0.572297i	$-0.193948\pi$
$919$	−5.44982	−	16.7728i	−0.179773	−	0.553284i	−0.999819	+	0.0190131i	$0.993948\pi$
$920$	−23.4304	−	1.89287i	−0.772477	−	0.0624062i
$921$	−5.10612	+	15.7150i	−0.168252	+	0.517827i
$922$	3.48109	+	0.0918308i	0.114643	+	0.00302429i
$923$	22.0893	+	3.49860i	0.727077	+	0.115158i
$924$	1.33403	+	2.05597i	0.0438863	+	0.0676363i
$925$	10.5962	+	5.43888i	0.348400	+	0.178829i
$926$	−22.6992	+	41.7874i	−0.745942	+	1.37322i
$927$	2.34997	−	14.8372i	0.0771833	−	0.487316i
$928$	−16.8988	−	8.08043i	−0.554730	−	0.265253i
$929$	−35.1070	−	11.4069i	−1.15182	−	0.374250i	−0.329993	−	0.943983i	$-0.607046\pi$
$929$	−35.1070	−	11.4069i	−1.15182	−	0.374250i	−0.821829	+	0.569734i	$0.807046\pi$
$930$	12.1597	+	17.7565i	0.398734	+	0.582260i
$931$	−3.98270	+	1.29406i	−0.130528	+	0.0424110i
$932$	−1.24741	+	5.85741i	−0.0408601	+	0.191866i
$933$	−5.02185	−	2.55876i	−0.164408	−	0.0837700i
$934$	−6.54612	−	13.7311i	−0.214196	−	0.449295i
$935$	−33.2667	−	45.9315i	−1.08794	−	1.50212i
$936$	−3.09691	−	3.63029i	−0.101226	−	0.118660i
$937$	6.89911	+	43.5592i	0.225384	+	1.42302i	0.797734	+	0.603009i	$0.206032\pi$
$937$	6.89911	+	43.5592i	0.225384	+	1.42302i	−0.572350	+	0.820009i	$0.693968\pi$
$938$	−2.60910	−	0.924500i	−0.0851901	−	0.0301860i
$939$	−14.5118	+	10.5434i	−0.473573	+	0.344071i
$940$	−10.8165	−	4.17541i	−0.352797	−	0.136187i
$941$	8.90352	+	6.46878i	0.290246	+	0.210876i	0.723374	−	0.690456i	$-0.242590\pi$
$941$	8.90352	+	6.46878i	0.290246	+	0.210876i	−0.433128	+	0.901332i	$0.642590\pi$
$942$	1.11744	+	1.62656i	0.0364081	+	0.0529961i
$943$	−30.2399	−	30.2399i	−0.984747	−	0.984747i
$944$	15.5237	+	1.64378i	0.505253	+	0.0535004i
$945$	−0.273337	+	0.534484i	−0.00889167	+	0.0173868i
$946$	−0.0649513	+	0.0616126i	−0.00211175	+	0.00200320i
$947$	23.8973	+	46.9012i	0.776559	+	1.52408i	0.850000	+	0.526783i	$0.176602\pi$
$947$	23.8973	+	46.9012i	0.776559	+	1.52408i	−0.0734408	+	0.997300i	$0.523398\pi$
$948$	−24.6705	+	10.9726i	−0.801261	+	0.356372i
$949$		−	8.30656i		−	0.269642i
$950$	−2.40973	−	3.53013i	−0.0781818	−	0.114533i
$951$		−	9.14690i		−	0.296608i
$952$	−4.20626	−	0.333501i	−0.136326	−	0.0108088i
$953$	−7.88451	−	15.4742i	−0.255404	−	0.501259i	0.727329	−	0.686289i	$-0.240762\pi$
$953$	−7.88451	−	15.4742i	−0.255404	−	0.501259i	−0.982733	+	0.185030i	$0.940762\pi$
$954$	−9.71588	−	10.2424i	−0.314563	−	0.331609i
$955$	58.8217	+	9.40635i	1.90343	+	0.304382i
$956$	34.4094	+	27.8863i	1.11288	+	0.901908i
$957$	−10.6872	−	10.6872i	−0.345469	−	0.345469i
$958$	−26.7294	+	18.3630i	−0.863589	+	0.593282i
$959$	0.834219	+	0.606095i	0.0269383	+	0.0195718i
$960$	−2.75149	−	17.6757i	−0.0888038	−	0.570480i
$961$	12.3904	−	9.00217i	0.399691	−	0.290392i
$962$	−1.89821	+	5.35708i	−0.0612007	+	0.172719i
$963$	2.51453	+	15.8761i	0.0810294	+	0.511600i
$964$	0.0544643	−	0.141720i	0.00175418	−	0.00456449i
$965$	19.6531	+	6.41808i	0.632655	+	0.206605i
$966$	−1.27381	+	0.607273i	−0.0409842	+	0.0195387i
$967$	53.2482	+	27.1313i	1.71235	+	0.872485i	0.981872	+	0.189546i	$0.0607016\pi$
$967$	53.2482	+	27.1313i	1.71235	+	0.872485i	0.730476	+	0.682939i	$0.239298\pi$
$968$	−21.1400	−	18.0765i	−0.679464	−	0.581001i
$969$	3.19438	−	1.03792i	0.102618	−	0.0333427i
$970$	−0.919185	−	3.12242i	−0.0295133	−	0.100255i
$971$	39.7349	+	12.9106i	1.27515	+	0.414322i	0.866871	−	0.498533i	$-0.166128\pi$
$971$	39.7349	+	12.9106i	1.27515	+	0.414322i	0.408283	+	0.912856i	$0.366128\pi$
$972$	1.00067	−	1.73166i	0.0320966	−	0.0555431i
$973$	0.776901	−	4.90516i	0.0249063	−	0.157252i
$974$	−20.9307	−	11.3697i	−0.670662	−	0.364308i
$975$	0.0251477	−	8.43536i	0.000805370	−	0.270148i
$976$	18.9388	−	42.4486i	0.606216	−	1.35875i
$977$	26.2795	+	4.16226i	0.840754	+	0.133162i	0.561935	−	0.827181i	$-0.310057\pi$
$977$	26.2795	+	4.16226i	0.840754	+	0.133162i	0.278819	+	0.960344i	$0.410057\pi$
$978$	0.281334	−	10.6647i	0.00899605	−	0.341019i
$979$	10.0870	−	31.0445i	0.322381	−	0.992186i
$980$	−20.6881	−	23.0635i	−0.660858	−	0.736735i
$981$	−2.04784	−	6.30262i	−0.0653826	−	0.201227i
$982$	−15.4907	+	4.58530i	−0.494329	+	0.146323i
$983$	−1.53672	+	3.01599i	−0.0490138	+	0.0961950i	−0.914214	−	0.405231i	$-0.867191\pi$
$983$	−1.53672	+	3.01599i	−0.0490138	+	0.0961950i	0.865200	+	0.501426i	$0.167191\pi$
$984$	17.0206	−	27.7389i	0.542598	−	0.884284i
$985$	24.5633	+	17.9023i	0.782653	+	0.570415i
$986$	25.7989	−	3.39140i	0.821603	−	0.108004i
$987$	−0.687472	+	0.108885i	−0.0218825	+	0.00346584i
$988$	1.51621	−	1.36413i	0.0482369	−	0.0433989i
$989$	−0.0302988	−	0.0417027i	−0.000963446	−	0.00132607i
$990$	2.65429	−	14.1878i	0.0843588	−	0.450919i
$991$	29.2963	−	40.3229i	0.930627	−	1.28090i	−0.0289870	−	0.999580i	$-0.509228\pi$
$991$	29.2963	−	40.3229i	0.930627	−	1.28090i	0.959614	−	0.281319i	$-0.0907719\pi$
$992$	−37.8601	+	6.97900i	−1.20206	+	0.221583i
$993$	5.25958	−	5.25958i	0.166908	−	0.166908i
$994$	4.94870	+	0.918179i	0.156963	+	0.0291229i
$995$	−7.50448	−	14.7828i	−0.237908	−	0.468647i
$996$	14.5801	−	3.90068i	0.461989	−	0.123598i
$997$	18.8621	−	9.61073i	0.597369	−	0.304375i	−0.129038	−	0.991640i	$-0.541189\pi$
$997$	18.8621	−	9.61073i	0.597369	−	0.304375i	0.726407	+	0.687265i	$0.241189\pi$
$998$	46.9731	+	36.0582i	1.48691	+	1.14140i
$999$	−2.38210			−0.0753664

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.w.a.127.23	✓	240
3.2	odd	2		900.2.bj.f.127.8		240
4.3	odd	2	inner	300.2.w.a.127.27	yes	240
12.11	even	2		900.2.bj.f.127.4		240
25.13	odd	20	inner	300.2.w.a.163.27	yes	240
75.38	even	20		900.2.bj.f.163.4		240
100.63	even	20	inner	300.2.w.a.163.23	yes	240
300.263	odd	20		900.2.bj.f.163.8		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.w.a.127.23	✓	240	1.1	even	1	trivial
300.2.w.a.127.27	yes	240	4.3	odd	2	inner
300.2.w.a.163.23	yes	240	100.63	even	20	inner
300.2.w.a.163.27	yes	240	25.13	odd	20	inner
900.2.bj.f.127.4		240	12.11	even	2
900.2.bj.f.127.8		240	3.2	odd	2
900.2.bj.f.163.4		240	75.38	even	20
900.2.bj.f.163.8		240	300.263	odd	20

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:	\( N \)	\(=\)	\( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	300.w (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(1.12180 + 0.861136i) q^{2} +(0.891007 - 0.453990i) q^{3} +(0.516889 + 1.93205i) q^{4} +(1.01218 + 1.99386i) q^{5} +(1.39048 + 0.257990i) q^{6} +(-0.189838 + 0.189838i) q^{7} +(-1.08391 + 2.61250i) q^{8} +(0.587785 - 0.809017i) q^{9} +(-0.581516 + 3.10835i) q^{10} +(-2.68290 - 3.69270i) q^{11} +(1.33768 + 1.48681i) q^{12} +(-1.66631 + 0.263917i) q^{13} +(-0.376438 + 0.0494848i) q^{14} +(1.80706 + 1.31702i) q^{15} +(-3.46565 + 1.99731i) q^{16} +(2.52266 - 4.95101i) q^{17} +(1.35605 - 0.401395i) q^{18} +(0.186788 + 0.574876i) q^{19} +(-3.32906 + 2.98620i) q^{20} +(-0.0829624 + 0.255332i) q^{21} +(0.170225 - 6.45283i) q^{22} +(3.67098 + 0.581426i) q^{23} +(0.220276 + 2.81984i) q^{24} +(-2.95097 + 4.03631i) q^{25} +(-2.09654 - 1.13886i) q^{26} +(0.156434 - 0.987688i) q^{27} +(-0.464903 - 0.268652i) q^{28} +(3.14920 + 1.02324i) q^{29} +(0.893027 + 3.03356i) q^{30} +(6.47245 - 2.10303i) q^{31} +(-5.60774 - 0.743804i) q^{32} +(-4.06693 - 2.07221i) q^{33} +(7.09342 - 3.38170i) q^{34} +(-0.570663 - 0.186361i) q^{35} +(1.86688 + 0.717460i) q^{36} +(-0.372643 - 2.35278i) q^{37} +(-0.285506 + 0.805748i) q^{38} +(-1.36488 + 0.991640i) q^{39} +(-6.30607 + 0.483152i) q^{40} +(-9.30874 - 6.76320i) q^{41} +(-0.312943 + 0.214991i) q^{42} +(-0.00980686 - 0.00980686i) q^{43} +(5.74772 - 7.09222i) q^{44} +(2.20801 + 0.353090i) q^{45} +(3.61743 + 3.81346i) q^{46} +(1.17702 + 2.31002i) q^{47} +(-2.18116 + 3.35299i) q^{48} +6.92792i q^{49} +(-6.78622 + 1.98675i) q^{50} -5.55664i q^{51} +(-1.37120 - 3.08298i) q^{52} +(-4.53201 - 8.89456i) q^{53} +(1.02602 - 0.973281i) q^{54} +(4.64714 - 9.08702i) q^{55} +(-0.290184 - 0.701720i) q^{56} +(0.427418 + 0.427418i) q^{57} +(2.65164 + 3.85976i) q^{58} +(-3.15728 - 2.29390i) q^{59} +(-1.61051 + 4.17208i) q^{60} +(-9.40115 + 6.83034i) q^{61} +(9.07182 + 3.21448i) q^{62} +(0.0419983 + 0.265167i) q^{63} +(-5.65027 - 5.66343i) q^{64} +(-2.21282 - 3.05526i) q^{65} +(-2.77785 - 5.82679i) q^{66} +(6.49592 + 3.30984i) q^{67} +(10.8695 + 2.31480i) q^{68} +(3.53483 - 1.14854i) q^{69} +(-0.479690 - 0.700478i) q^{70} +(-12.6076 - 4.09646i) q^{71} +(1.47645 + 2.41249i) q^{72} +(-0.770226 + 4.86301i) q^{73} +(1.60803 - 2.96025i) q^{74} +(-0.796891 + 4.93609i) q^{75} +(-1.01414 + 0.658032i) q^{76} +(1.21033 + 0.191698i) q^{77} +(-2.38506 - 0.0629178i) q^{78} +(-4.17182 + 12.8395i) q^{79} +(-7.49024 - 4.88839i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(-4.61855 - 15.6031i) q^{82} +(3.42602 - 6.72394i) q^{83} +(-0.536197 - 0.0283094i) q^{84} +(12.4250 + 0.0185208i) q^{85} +(-0.00255633 - 0.0194464i) q^{86} +(3.27049 - 0.517995i) q^{87} +(12.5552 - 3.00651i) q^{88} +(4.20350 + 5.78562i) q^{89} +(2.17290 + 2.29750i) q^{90} +(0.266228 - 0.366431i) q^{91} +(0.774143 + 7.39306i) q^{92} +(4.81224 - 4.81224i) q^{93} +(-0.668864 + 3.60497i) q^{94} +(-0.957159 + 0.954310i) q^{95} +(-5.33421 + 1.88313i) q^{96} +(-0.917106 + 0.467289i) q^{97} +(-5.96588 + 7.77177i) q^{98} -4.56443 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44}+ \cdots + 256 q^{98}+O(q^{100}) \) 240 * q + 12 * q^8 + 8 * q^10 + 8 * q^12 + 4 * q^13 + 20 * q^17 - 20 * q^20 - 12 * q^22 + 20 * q^25 + 4 * q^28 - 8 * q^30 - 20 * q^32 - 8 * q^33 - 4 * q^37 - 76 * q^38 - 92 * q^40 - 20 * q^42 - 140 * q^44 - 4 * q^45 - 16 * q^48 - 164 * q^50 - 172 * q^52 - 4 * q^53 - 120 * q^58 + 20 * q^60 - 44 * q^62 - 60 * q^64 - 20 * q^65 + 16 * q^68 - 44 * q^70 + 12 * q^72 - 44 * q^73 - 48 * q^77 + 24 * q^78 - 4 * q^80 + 60 * q^81 + 24 * q^82 + 80 * q^84 - 64 * q^85 + 60 * q^88 - 260 * q^89 + 48 * q^90 + 144 * q^92 - 64 * q^93 + 40 * q^94 - 20 * q^96 - 180 * q^97 + 256 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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