LMFDB - Embedded newform 522.2.x.a.101.13

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [522,2,Mod(11,522)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(522, base_ring=CyclotomicField(84)) chi = DirichletCharacter(H, H._module([14, 75])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("522.11"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 522 = 2 \cdot 3^{2} \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	522.x (of order $84$, degree $24$, 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:	$4.16819098551$
Analytic rank:	$0$
Dimension:	$720$
Relative dimension:	$30$ over $\Q(\zeta_{84})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{84}]$

Embedding invariants

Embedding label			101.13
Character	$\chi$	$=$	522.101
Dual form			522.2.x.a.491.13

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.399892 + 0.916562i) q^{2} +(1.54917 - 0.774641i) q^{3} +(-0.680173 - 0.733052i) q^{4} +(2.98205 + 0.449472i) q^{5} +(0.0905052 + 1.72968i) q^{6} +(2.15327 + 1.99794i) q^{7} +(0.943883 - 0.330279i) q^{8} +(1.79986 - 2.40010i) q^{9} +(-1.60447 + 2.55350i) q^{10} +(-1.72375 + 1.48341i) q^{11} +(-1.62156 - 0.608733i) q^{12} +(-0.467422 + 0.685582i) q^{13} +(-2.69231 + 1.17464i) q^{14} +(4.96789 - 1.61371i) q^{15} +(-0.0747301 + 0.997204i) q^{16} +(-0.723855 - 0.723855i) q^{17} +(1.48009 + 2.60947i) q^{18} +(-2.95710 - 1.85807i) q^{19} +(-1.69882 - 2.49172i) q^{20} +(4.88347 + 1.42714i) q^{21} +(-0.670323 - 2.17313i) q^{22} +(-4.80456 - 1.88565i) q^{23} +(1.20639 - 1.24283i) q^{24} +(3.91274 + 1.20692i) q^{25} +(-0.441460 - 0.702580i) q^{26} +(0.929080 - 5.11242i) q^{27} -2.93740i q^{28} +(-3.26517 + 4.28237i) q^{29} +(-0.507554 + 5.19869i) q^{30} +(4.29671 - 3.17112i) q^{31} +(-0.884115 - 0.467269i) q^{32} +(-1.52128 + 3.63335i) q^{33} +(0.952923 - 0.373995i) q^{34} +(5.52314 + 6.92580i) q^{35} +(-2.98362 + 0.313091i) q^{36} +(0.993749 + 2.83997i) q^{37} +(2.88556 - 1.96734i) q^{38} +(-0.193037 + 1.42417i) q^{39} +(2.96316 - 0.560660i) q^{40} +(-1.24693 - 0.334115i) q^{41} +(-3.26093 + 3.90530i) q^{42} +(4.39686 - 5.95754i) q^{43} +(2.25987 + 0.254626i) q^{44} +(6.44606 - 6.34824i) q^{45} +(3.64962 - 3.64962i) q^{46} +(1.79522 + 2.08609i) q^{47} +(0.656705 + 1.60273i) q^{48} +(0.121685 + 1.62378i) q^{49} +(-2.67089 + 3.10363i) q^{50} +(-1.68210 - 0.560648i) q^{51} +(0.820494 - 0.123670i) q^{52} +(0.525103 + 0.418756i) q^{53} +(4.31432 + 2.89597i) q^{54} +(-5.80708 + 3.64883i) q^{55} +(2.69231 + 1.17464i) q^{56} +(-6.02040 - 0.587778i) q^{57} +(-2.61934 - 4.70522i) q^{58} +(-11.0891 + 6.40227i) q^{59} +(-4.56195 - 2.54412i) q^{60} +(11.9617 - 0.447575i) q^{61} +(1.18831 + 5.20631i) q^{62} +(8.67085 - 1.57204i) q^{63} +(0.781831 - 0.623490i) q^{64} +(-1.70203 + 1.83435i) q^{65} +(-2.72184 - 2.84730i) q^{66} +(-12.5234 + 0.938500i) q^{67} +(-0.0382769 + 1.02297i) q^{68} +(-8.90380 + 0.800612i) q^{69} +(-8.55658 + 2.29273i) q^{70} +(0.777192 - 0.374276i) q^{71} +(0.906158 - 2.85987i) q^{72} +(0.595440 - 5.28467i) q^{73} +(-3.00040 - 0.224849i) q^{74} +(6.99644 - 1.16124i) q^{75} +(0.649279 + 3.43152i) q^{76} +(-6.67547 - 0.249779i) q^{77} +(-1.22814 - 0.746443i) q^{78} +(1.49751 - 7.91452i) q^{79} +(-0.671064 + 2.94012i) q^{80} +(-2.52098 - 8.63971i) q^{81} +(0.804875 - 1.00928i) q^{82} +(-5.10305 + 16.5437i) q^{83} +(-2.27543 - 4.55054i) q^{84} +(-1.83322 - 2.48393i) q^{85} +(3.70218 + 6.41237i) q^{86} +(-1.74101 + 9.16345i) q^{87} +(-1.13708 + 1.96949i) q^{88} +(3.16265 - 0.356345i) q^{89} +(3.24083 + 8.44683i) q^{90} +(-2.37624 + 0.542360i) q^{91} +(1.88565 + 4.80456i) q^{92} +(4.19987 - 8.24101i) q^{93} +(-2.62992 + 0.811224i) q^{94} +(-7.98308 - 6.87000i) q^{95} +(-1.73161 - 0.0390074i) q^{96} +(-2.76228 - 5.22650i) q^{97} +(-1.53695 - 0.537804i) q^{98} +(0.457814 + 6.80712i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 720 q + 24 q^{11} - 12 q^{14} - 20 q^{15} - 60 q^{16} + 84 q^{21} + 20 q^{24} + 60 q^{25} - 144 q^{27} - 12 q^{29} + 72 q^{30} + 84 q^{33} - 40 q^{36} + 40 q^{39} - 12 q^{41} - 104 q^{45} + 24 q^{46} - 24 q^{47}+ \cdots - 84 q^{99}+O(q^{100}) $ 720 * q + 24 * q^11 - 12 * q^14 - 20 * q^15 - 60 * q^16 + 84 * q^21 + 20 * q^24 + 60 * q^25 - 144 * q^27 - 12 * q^29 + 72 * q^30 + 84 * q^33 - 40 * q^36 + 40 * q^39 - 12 * q^41 - 104 * q^45 + 24 * q^46 - 24 * q^47 + 60 * q^49 + 16 * q^54 - 144 * q^55 + 12 * q^56 + 12 * q^58 + 120 * q^59 - 16 * q^60 - 12 * q^61 + 36 * q^65 - 48 * q^66 - 36 * q^68 + 52 * q^69 - 180 * q^74 - 184 * q^75 - 132 * q^77 - 68 * q^78 + 12 * q^79 - 216 * q^81 + 96 * q^82 - 432 * q^83 - 80 * q^84 - 48 * q^85 - 200 * q^87 - 112 * q^90 - 252 * q^92 - 112 * q^93 + 192 * q^95 + 24 * q^97 - 84 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/522\mathbb{Z}\right)^\times$.

$n$	$379$	$407$
$\chi(n)$	$e\left(\frac{13}{28}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−0.399892	+	0.916562i	−0.282766	+	0.648107i
$2$	−0.399892	+	0.916562i	−0.282766	+	0.648107i
$3$	1.54917	−	0.774641i	0.894414	−	0.447239i
$3$	1.54917	−	0.774641i	0.894414	−	0.447239i
$4$	−0.680173	−	0.733052i	−0.340086	−	0.366526i
$5$	2.98205	+	0.449472i	1.33361	+	0.201010i	0.776863	−	0.629670i	$-0.216810\pi$
$5$	2.98205	+	0.449472i	1.33361	+	0.201010i	0.556751	+	0.830680i	$0.312048\pi$
$6$	0.0905052	+	1.72968i	0.0369486	+	0.706141i
$7$	2.15327	+	1.99794i	0.813859	+	0.755151i	0.972678	−	0.232157i	$-0.0745783\pi$
$7$	2.15327	+	1.99794i	0.813859	+	0.755151i	−0.158819	+	0.987308i	$0.550769\pi$
$8$	0.943883	−	0.330279i	0.333713	−	0.116771i
$9$	1.79986	−	2.40010i	0.599955	−	0.800034i
$10$	−1.60447	+	2.55350i	−0.507377	+	0.807486i
$11$	−1.72375	+	1.48341i	−0.519732	+	0.447265i	−0.872620	−	0.488400i	$-0.837581\pi$
$11$	−1.72375	+	1.48341i	−0.519732	+	0.447265i	0.352888	+	0.935666i	$0.385200\pi$
$12$	−1.62156	−	0.608733i	−0.468103	−	0.175726i
$13$	−0.467422	+	0.685582i	−0.129639	+	0.190146i	−0.885570	−	0.464505i	$-0.846232\pi$
$13$	−0.467422	+	0.685582i	−0.129639	+	0.190146i	0.755931	+	0.654651i	$0.227185\pi$
$14$	−2.69231	+	1.17464i	−0.719551	+	0.313937i
$15$	4.96789	−	1.61371i	1.28270	−	0.416658i
$16$	−0.0747301	+	0.997204i	−0.0186825	+	0.249301i
$17$	−0.723855	−	0.723855i	−0.175561	−	0.175561i	0.613857	−	0.789417i	$-0.289617\pi$
$17$	−0.723855	−	0.723855i	−0.175561	−	0.175561i	−0.789417	+	0.613857i	$0.789617\pi$
$18$	1.48009	+	2.60947i	0.348861	+	0.615058i
$19$	−2.95710	−	1.85807i	−0.678406	−	0.426271i	0.148271	−	0.988947i	$-0.452629\pi$
$19$	−2.95710	−	1.85807i	−0.678406	−	0.426271i	−0.826678	+	0.562676i	$0.809772\pi$
$20$	−1.69882	−	2.49172i	−0.379869	−	0.557165i
$21$	4.88347	+	1.42714i	1.06566	+	0.311428i
$22$	−0.670323	−	2.17313i	−0.142913	−	0.463313i
$23$	−4.80456	−	1.88565i	−1.00182	−	0.393186i	−0.192973	−	0.981204i	$-0.561813\pi$
$23$	−4.80456	−	1.88565i	−1.00182	−	0.393186i	−0.808848	+	0.588018i	$0.799908\pi$
$24$	1.20639	−	1.24283i	0.246253	−	0.253691i
$25$	3.91274	+	1.20692i	0.782549	+	0.241384i
$26$	−0.441460	−	0.702580i	−0.0865774	−	0.137787i
$27$	0.929080	−	5.11242i	0.178802	−	0.983885i
$28$		−	2.93740i		−	0.555117i
$29$	−3.26517	+	4.28237i	−0.606327	+	0.795215i
$29$	−3.26517	+	4.28237i	−0.606327	+	0.795215i
$30$	−0.507554	+	5.19869i	−0.0926662	+	0.949146i
$31$	4.29671	−	3.17112i	0.771712	−	0.569550i	−0.135225	−	0.990815i	$-0.543176\pi$
$31$	4.29671	−	3.17112i	0.771712	−	0.569550i	0.906937	+	0.421265i	$0.138414\pi$
$32$	−0.884115	−	0.467269i	−0.156291	−	0.0826022i
$33$	−1.52128	+	3.63335i	−0.264821	+	0.632485i
$34$	0.952923	−	0.373995i	0.163425	−	0.0641395i
$35$	5.52314	+	6.92580i	0.933581	+	1.17067i
$36$	−2.98362	+	0.313091i	−0.497270	+	0.0521818i
$37$	0.993749	+	2.83997i	0.163371	+	0.466888i	0.996245	−	0.0865741i	$-0.0275919\pi$
$37$	0.993749	+	2.83997i	0.163371	+	0.466888i	−0.832874	+	0.553462i	$0.813306\pi$
$38$	2.88556	−	1.96734i	0.468100	−	0.319145i
$39$	−0.193037	+	1.42417i	−0.0309106	+	0.228049i
$40$	2.96316	−	0.560660i	0.468517	−	0.0886481i
$41$	−1.24693	−	0.334115i	−0.194738	−	0.0521799i	0.160132	−	0.987096i	$-0.448808\pi$
$41$	−1.24693	−	0.334115i	−0.194738	−	0.0521799i	−0.354870	+	0.934916i	$0.615475\pi$
$42$	−3.26093	+	3.90530i	−0.503172	+	0.602601i
$43$	4.39686	−	5.95754i	0.670515	−	0.908516i	−0.328841	−	0.944385i	$-0.606658\pi$
$43$	4.39686	−	5.95754i	0.670515	−	0.908516i	0.999356	+	0.0358695i	$0.0114201\pi$
$44$	2.25987	+	0.254626i	0.340688	+	0.0383863i
$45$	6.44606	−	6.34824i	0.960923	−	0.946340i
$46$	3.64962	−	3.64962i	0.538108	−	0.538108i
$47$	1.79522	+	2.08609i	0.261860	+	0.304287i	0.873475	−	0.486868i	$-0.161861\pi$
$47$	1.79522	+	2.08609i	0.261860	+	0.304287i	−0.611615	+	0.791155i	$0.709480\pi$
$48$	0.656705	+	1.60273i	0.0947872	+	0.231334i
$49$	0.121685	+	1.62378i	0.0173836	+	0.231968i
$50$	−2.67089	+	3.10363i	−0.377721	+	0.438920i
$51$	−1.68210	−	0.560648i	−0.235542	−	0.0785065i
$52$	0.820494	−	0.123670i	0.113782	−	0.0171499i
$53$	0.525103	+	0.418756i	0.0721285	+	0.0575206i	0.658890	−	0.752239i	$-0.271026\pi$
$53$	0.525103	+	0.418756i	0.0721285	+	0.0575206i	−0.586762	+	0.809760i	$0.699598\pi$
$54$	4.31432	+	2.89597i	0.587104	+	0.394092i
$55$	−5.80708	+	3.64883i	−0.783026	+	0.492008i
$56$	2.69231	+	1.17464i	0.359775	+	0.156968i
$57$	−6.02040	−	0.587778i	−0.797421	−	0.0778531i
$58$	−2.61934	−	4.70522i	−0.343936	−	0.617825i
$59$	−11.0891	+	6.40227i	−1.44367	+	0.833505i	−0.998092	−	0.0617369i	$-0.980336\pi$
$59$	−11.0891	+	6.40227i	−1.44367	+	0.833505i	−0.445580	+	0.895242i	$0.647003\pi$
$60$	−4.56195	−	2.54412i	−0.588946	−	0.328444i
$61$	11.9617	−	0.447575i	1.53154	−	0.0573062i	0.741747	−	0.670680i	$-0.233998\pi$
$61$	11.9617	−	0.447575i	1.53154	−	0.0573062i	0.789793	+	0.613374i	$0.210188\pi$
$62$	1.18831	+	5.20631i	0.150915	+	0.661202i
$63$	8.67085	−	1.57204i	1.09242	−	0.198059i
$64$	0.781831	−	0.623490i	0.0977289	−	0.0779362i
$65$	−1.70203	+	1.83435i	−0.211110	+	0.227523i
$66$	−2.72184	−	2.84730i	−0.335036	−	0.350478i
$67$	−12.5234	+	0.938500i	−1.52998	+	0.114656i	−0.812927	−	0.582365i	$-0.802127\pi$
$67$	−12.5234	+	0.938500i	−1.52998	+	0.114656i	−0.717050	+	0.697021i	$0.754508\pi$
$68$	−0.0382769	+	1.02297i	−0.00464175	+	0.124053i
$69$	−8.90380	+	0.800612i	−1.07189	+	0.0963824i
$70$	−8.55658	+	2.29273i	−1.02271	+	0.274034i
$71$	0.777192	−	0.374276i	0.0922357	−	0.0444184i	−0.387197	−	0.921997i	$-0.626557\pi$
$71$	0.777192	−	0.374276i	0.0922357	−	0.0444184i	0.479433	+	0.877579i	$0.340842\pi$
$72$	0.906158	−	2.85987i	0.106792	−	0.337039i
$73$	0.595440	−	5.28467i	0.0696910	−	0.618524i	−0.909517	−	0.415666i	$-0.863548\pi$
$73$	0.595440	−	5.28467i	0.0696910	−	0.618524i	0.979208	−	0.202858i	$-0.0650230\pi$
$74$	−3.00040	−	0.224849i	−0.348790	−	0.0261382i
$75$	6.99644	−	1.16124i	0.807879	−	0.134089i
$76$	0.649279	+	3.43152i	0.0744774	+	0.393622i
$77$	−6.67547	−	0.249779i	−0.760741	−	0.0284649i
$78$	−1.22814	−	0.746443i	−0.139060	−	0.0845181i
$79$	1.49751	−	7.91452i	0.168483	−	0.890453i	−0.791664	−	0.610957i	$-0.790785\pi$
$79$	1.49751	−	7.91452i	0.168483	−	0.890453i	0.960147	−	0.279496i	$-0.0901674\pi$
$80$	−0.671064	+	2.94012i	−0.0750273	+	0.328716i
$81$	−2.52098	−	8.63971i	−0.280109	−	0.959968i
$82$	0.804875	−	1.00928i	0.0888836	−	0.111457i
$83$	−5.10305	+	16.5437i	−0.560132	+	1.81590i	0.0178310	+	0.999841i	$0.494324\pi$
$83$	−5.10305	+	16.5437i	−0.560132	+	1.81590i	−0.577963	+	0.816063i	$0.696152\pi$
$84$	−2.27543	−	4.55054i	−0.248270	−	0.496505i
$85$	−1.83322	−	2.48393i	−0.198841	−	0.269420i
$86$	3.70218	+	6.41237i	0.399217	+	0.691463i
$87$	−1.74101	+	9.16345i	−0.186656	+	0.982425i
$88$	−1.13708	+	1.96949i	−0.121214	+	0.209948i
$89$	3.16265	−	0.356345i	0.335240	−	0.0377725i	0.0572600	−	0.998359i	$-0.481764\pi$
$89$	3.16265	−	0.356345i	0.335240	−	0.0377725i	0.277980	+	0.960587i	$0.410335\pi$
$90$	3.24083	+	8.44683i	0.341613	+	0.890374i
$91$	−2.37624	+	0.542360i	−0.249097	+	0.0568548i
$92$	1.88565	+	4.80456i	0.196593	+	0.500910i
$93$	4.19987	−	8.24101i	0.435506	−	0.854553i
$94$	−2.62992	+	0.811224i	−0.271256	+	0.0836713i
$95$	−7.98308	−	6.87000i	−0.819047	−	0.704847i
$96$	−1.73161	−	0.0390074i	−0.176732	−	0.00398118i
$97$	−2.76228	−	5.22650i	−0.280467	−	0.530670i	0.703127	−	0.711064i	$-0.251787\pi$
$97$	−2.76228	−	5.22650i	−0.280467	−	0.530670i	−0.983594	+	0.180394i	$0.942263\pi$
$98$	−1.53695	−	0.537804i	−0.155256	−	0.0543264i
$99$	0.457814	+	6.80712i	0.0460121	+	0.684142i
$100$	−1.77660	−	3.68916i	−0.177660	−	0.368916i
$101$	6.37266	+	4.70323i	0.634103	+	0.467989i	0.862825	−	0.505502i	$-0.168693\pi$
$101$	6.37266	+	4.70323i	0.634103	+	0.467989i	−0.228722	+	0.973492i	$0.573455\pi$
$102$	1.18653	−	1.31755i	0.117484	−	0.130457i
$103$	−12.2441	−	8.34790i	−1.20645	−	0.822543i	−0.218276	−	0.975887i	$-0.570043\pi$
$103$	−12.2441	−	8.34790i	−1.20645	−	0.822543i	−0.988173	+	0.153344i	$0.950996\pi$
$104$	−0.214758	+	0.801489i	−0.0210588	+	0.0785924i
$105$	13.9213	+	6.45080i	1.35858	+	0.629533i
$106$	−0.593801	+	0.313833i	−0.0576750	+	0.0304821i
$107$	0.882088	−	1.83167i	0.0852746	−	0.177075i	−0.853971	−	0.520321i	$-0.825812\pi$
$107$	0.882088	−	1.83167i	0.0852746	−	0.177075i	0.939245	+	0.343246i	$0.111527\pi$
$108$	−4.37960	+	2.79626i	−0.421427	+	0.269071i
$109$	10.3032	+	2.35165i	0.986871	+	0.225247i	0.685351	−	0.728213i	$-0.259649\pi$
$109$	10.3032	+	2.35165i	0.986871	+	0.225247i	0.301520	+	0.953460i	$0.402506\pi$
$110$	−1.02217	−	6.78169i	−0.0974605	−	0.646608i
$111$	3.73944	+	3.62980i	0.354932	+	0.344526i
$112$	−2.15327	+	1.99794i	−0.203465	+	0.188788i
$113$	8.99894	−	17.0268i	0.846549	−	1.60175i	0.0487622	−	0.998810i	$-0.484472\pi$
$113$	8.99894	−	17.0268i	0.846549	−	1.60175i	0.797787	−	0.602939i	$-0.206004\pi$
$114$	2.94624	−	5.28302i	0.275941	−	0.494800i
$115$	−13.4799	−	7.78263i	−1.25701	−	0.725734i
$116$	5.36008	−	0.519209i	0.497671	−	0.0482073i
$117$	0.804171	+	2.35581i	0.0743456	+	0.217795i
$118$	−1.43365	−	12.7240i	−0.131979	−	1.17134i
$119$	−0.112434	−	3.00488i	−0.0103069	−	0.275456i
$120$	4.15613	−	3.16394i	0.379401	−	0.288827i
$121$	−0.868642	+	5.76307i	−0.0789675	+	0.523915i
$122$	−4.37316	+	11.1426i	−0.395927	+	1.00881i
$123$	−2.19053	+	0.448324i	−0.197514	+	0.0404240i
$124$	−5.24710	−	0.992805i	−0.471204	−	0.0891565i
$125$	−2.45989	−	1.18462i	−0.220020	−	0.105956i
$126$	−2.02653	+	8.57602i	−0.180538	+	0.764013i
$127$	−3.61718	+	10.3373i	−0.320972	+	0.917286i	0.664476	+	0.747310i	$0.268655\pi$
$127$	−3.61718	+	10.3373i	−0.320972	+	0.917286i	−0.985448	+	0.169977i	$0.945631\pi$
$128$	0.258819	+	0.965926i	0.0228766	+	0.0853766i
$129$	2.19654	−	12.6352i	0.193395	−	1.11247i
$130$	−1.00067	−	2.29355i	−0.0877643	−	0.201158i
$131$	−7.34988	−	16.8461i	−0.642162	−	1.47185i	−0.867433	−	0.497554i	$-0.834232\pi$
$131$	−7.34988	−	16.8461i	−0.642162	−	1.47185i	0.225271	−	0.974296i	$-0.427673\pi$
$132$	3.69817	−	1.35613i	0.321884	−	0.118036i
$133$	−2.65512	−	9.90904i	−0.230228	−	0.859223i
$134$	4.14782	−	11.8538i	0.358317	−	1.02401i
$135$	5.06845	−	14.8279i	0.436223	−	1.27618i
$136$	−0.922309	−	0.444161i	−0.0790874	−	0.0380865i
$137$	−16.1832	−	3.06203i	−1.38263	−	0.261607i	−0.559201	−	0.829032i	$-0.688892\pi$
$137$	−16.1832	−	3.06203i	−1.38263	−	0.261607i	−0.823425	+	0.567425i	$0.807940\pi$
$138$	2.82675	−	8.48104i	0.240629	−	0.721954i
$139$	5.62895	−	14.3423i	0.477442	−	1.21650i	−0.465947	−	0.884812i	$-0.654286\pi$
$139$	5.62895	−	14.3423i	0.477442	−	1.21650i	0.943389	−	0.331689i	$-0.107618\pi$
$140$	1.32028	−	8.75948i	0.111584	−	0.740312i
$141$	4.39707	+	1.84105i	0.370300	+	0.155045i
$142$	0.0322543	+	0.862014i	0.00270672	+	0.0723386i
$143$	−0.211279	−	1.87515i	−0.0176680	−	0.156808i
$144$	2.25889	+	1.97419i	0.188241	+	0.164516i
$145$	−11.6617	+	11.3026i	−0.968452	+	0.938633i
$146$	4.60562	+	2.65906i	0.381164	+	0.220065i
$147$	1.44636	+	2.42125i	0.119293	+	0.199701i
$148$	1.40593	−	2.66014i	0.115566	−	0.218662i
$149$	−9.51620	+	8.82974i	−0.779598	+	0.723361i	−0.965839	−	0.259143i	$-0.916560\pi$
$149$	−9.51620	+	8.82974i	−0.779598	+	0.723361i	0.186241	+	0.982504i	$0.440369\pi$
$150$	−1.73347	+	6.87704i	−0.141537	+	0.561508i
$151$	2.69221	+	17.8617i	0.219089	+	1.45356i	0.780049	+	0.625718i	$0.215194\pi$
$151$	2.69221	+	17.8617i	0.219089	+	1.45356i	−0.560960	+	0.827843i	$0.689568\pi$
$152$	−3.40484	−	0.777133i	−0.276169	−	0.0630338i
$153$	−3.04017	+	0.434486i	−0.245783	+	0.0351261i
$154$	2.89841	−	6.01860i	0.233560	−	0.484993i
$155$	14.2383	−	7.52519i	1.14365	−	0.604438i
$156$	1.17529	−	0.827174i	0.0940983	−	0.0662269i
$157$	3.31619	−	12.3762i	0.264661	−	0.987728i	−0.697797	−	0.716296i	$-0.745836\pi$
$157$	3.31619	−	12.3762i	0.264661	−	0.987728i	0.962458	−	0.271432i	$-0.0874972\pi$
$158$	6.65531	+	4.53751i	0.529468	+	0.360985i
$159$	1.13786	+	0.241958i	0.0902382	+	0.0191885i
$160$	−2.42645	−	1.79080i	−0.191828	−	0.141576i
$161$	−6.57809	−	13.6595i	−0.518426	−	1.07652i
$162$	8.92696	+	1.14432i	0.701368	+	0.0899059i
$163$	12.6819	+	4.43758i	0.993321	+	0.347578i	0.777519	−	0.628859i	$-0.216478\pi$
$163$	12.6819	+	4.43758i	0.993321	+	0.347578i	0.215802	+	0.976437i	$0.430763\pi$
$164$	0.603206	+	1.14132i	0.0471025	+	0.0891223i
$165$	−6.16963	+	10.1511i	−0.480305	+	0.790259i
$166$	−13.1226	−	11.2929i	−1.01851	−	0.876502i
$167$	−9.64069	+	2.97376i	−0.746019	+	0.230116i	−0.644381	−	0.764705i	$-0.722885\pi$
$167$	−9.64069	+	2.97376i	−0.746019	+	0.230116i	−0.101639	+	0.994821i	$0.532409\pi$
$168$	5.08078	−	0.265850i	0.391991	−	0.0205108i
$169$	4.49789	+	11.4604i	0.345992	+	0.881573i
$170$	3.00976	−	0.686959i	0.230838	−	0.0526874i
$171$	−9.78194	+	3.75308i	−0.748044	+	0.287005i
$172$	−7.35781	+	0.829026i	−0.561028	+	0.0632126i
$173$	4.73487	−	8.20104i	0.359986	−	0.623513i	−0.627972	−	0.778236i	$-0.716115\pi$
$173$	4.73487	−	8.20104i	0.359986	−	0.623513i	0.987958	+	0.154722i	$0.0494483\pi$
$174$	−7.70266	−	5.26014i	−0.583937	−	0.398770i
$175$	6.01383	+	10.4163i	0.454603	+	0.787395i
$176$	−1.35045	−	1.82979i	−0.101794	−	0.137926i
$177$	−12.2194	+	18.5083i	−0.918466	+	1.39117i
$178$	−0.938106	+	3.04127i	−0.0703140	+	0.227953i
$179$	−7.98781	+	10.0164i	−0.597037	+	0.748661i	−0.984913	−	0.173051i	$-0.944637\pi$
$179$	−7.98781	+	10.0164i	−0.597037	+	0.748661i	0.387876	+	0.921712i	$0.373209\pi$
$180$	−9.03803	−	0.407400i	−0.673655	−	0.0303658i
$181$	0.450001	−	1.97159i	0.0334483	−	0.146547i	−0.955446	−	0.295165i	$-0.904625\pi$
$181$	0.450001	−	1.97159i	0.0334483	−	0.146547i	0.988895	+	0.148618i	$0.0474825\pi$
$182$	0.453131	−	2.39485i	0.0335883	−	0.177518i
$183$	18.1840	−	9.95939i	1.34420	−	0.736220i
$184$	−5.15774	−	0.192989i	−0.380234	−	0.0142273i
$185$	1.68692	+	8.91560i	0.124025	+	0.655488i
$186$	5.87391	+	7.14496i	0.430696	+	0.523894i
$187$	2.32152	+	0.173974i	0.169767	+	0.0127223i
$188$	0.308148	−	2.73489i	0.0224740	−	0.199462i
$189$	12.2149	−	9.15216i	0.888501	−	0.665722i
$190$	9.48915	−	4.56974i	0.688416	−	0.331523i
$191$	−11.1701	+	2.99301i	−0.808238	+	0.216567i	−0.639198	−	0.769042i	$-0.720734\pi$
$191$	−11.1701	+	2.99301i	−0.808238	+	0.216567i	−0.169040	+	0.985609i	$0.554067\pi$
$192$	0.728210	−	1.57153i	0.0525541	−	0.113415i
$193$	−0.726479	+	19.4156i	−0.0522931	+	1.39756i	0.688211	+	0.725511i	$0.258396\pi$
$193$	−0.726479	+	19.4156i	−0.0522931	+	1.39756i	−0.740504	+	0.672052i	$0.765413\pi$
$194$	5.89503	−	0.441771i	0.423238	−	0.0317173i
$195$	−1.21577	+	4.16018i	−0.0870630	+	0.297916i
$196$	1.10755	−	1.19365i	0.0791105	−	0.0852608i
$197$	2.88909	−	2.30397i	0.205839	−	0.164151i	−0.515145	−	0.857103i	$-0.672262\pi$
$197$	2.88909	−	2.30397i	0.205839	−	0.164151i	0.720984	+	0.692952i	$0.243690\pi$
$198$	−6.42223	−	2.30250i	−0.456408	−	0.163632i
$199$	−0.789979	−	3.46113i	−0.0560002	−	0.245353i	0.939179	−	0.343429i	$-0.111588\pi$
$199$	−0.789979	−	3.46113i	−0.0560002	−	0.245353i	−0.995179	+	0.0980759i	$0.968731\pi$
$200$	4.09179	−	0.153104i	0.289333	−	0.0108261i
$201$	−18.6739	+	11.1550i	−1.31716	+	0.786816i
$202$	−6.85918	+	3.96015i	−0.482610	+	0.278635i
$203$	−15.5867	+	2.69746i	−1.09397	+	0.189325i
$204$	0.733137	+	1.61441i	0.0513299	+	0.113031i
$205$	−3.56824	−	1.55681i	−0.249217	−	0.108732i
$206$	12.5477	−	7.88424i	0.874239	−	0.549321i
$207$	−13.1733	+	8.13753i	−0.915609	+	0.565597i
$208$	−0.648734	−	0.517348i	−0.0449816	−	0.0358716i
$209$	7.85360	−	1.18374i	0.543245	−	0.0818810i
$210$	−11.4796	+	10.1801i	−0.792166	+	0.702494i
$211$	−0.357115	+	0.414975i	−0.0245848	+	0.0285681i	−0.770130	−	0.637888i	$-0.779808\pi$
$211$	−0.357115	+	0.414975i	−0.0245848	+	0.0285681i	0.745545	+	0.666456i	$0.232189\pi$
$212$	−0.0501912	−	0.669755i	−0.00344714	−	0.0459989i
$213$	0.914074	−	1.18186i	0.0626313	−	0.0809798i
$214$	1.32610	+	1.54096i	0.0906506	+	0.105338i
$215$	15.7894	−	15.7894i	1.07683	−	1.07683i
$216$	−0.811581	−	5.13238i	−0.0552211	−	0.349214i
$217$	15.5877	+	1.75631i	1.05816	+	0.119226i
$218$	−6.27561	+	8.50315i	−0.425038	+	0.575906i
$219$	−3.17129	−	8.64812i	−0.214296	−	0.584386i
$220$	6.62460	+	1.77506i	0.446630	+	0.119674i
$221$	0.834608	−	0.157916i	0.0561418	−	0.0106226i
$222$	−4.82232	+	1.97590i	−0.323653	+	0.132614i
$223$	−16.3757	+	11.1648i	−1.09660	+	0.747649i	−0.969708	−	0.244267i	$-0.921453\pi$
$223$	−16.3757	+	11.1648i	−1.09660	+	0.747649i	−0.126892	+	0.991917i	$0.540500\pi$
$224$	−0.970162	−	2.77256i	−0.0648217	−	0.185250i
$225$	9.93914	−	7.21869i	0.662609	−	0.481246i
$226$	12.0075	+	15.0570i	0.798730	+	1.00158i
$227$	18.2952	−	7.18034i	1.21430	−	0.476576i	0.330213	−	0.943907i	$-0.392880\pi$
$227$	18.2952	−	7.18034i	1.21430	−	0.476576i	0.884083	+	0.467331i	$0.154784\pi$
$228$	3.66404	+	4.81305i	0.242657	+	0.318752i
$229$	−0.0758157	−	0.0400698i	−0.00501004	−	0.00264788i	0.464762	−	0.885436i	$-0.346140\pi$
$229$	−0.0758157	−	0.0400698i	−0.00501004	−	0.00264788i	−0.469772	+	0.882788i	$0.655664\pi$
$230$	12.5238	−	9.24296i	0.825793	−	0.609463i
$231$	−10.5349	+	4.78414i	−0.693148	+	0.314774i
$232$	−1.66756	+	5.12047i	−0.109481	+	0.336175i
$233$			2.43952i			0.159818i	0.996802	+	0.0799090i	$0.0254630\pi$
$233$			2.43952i			0.159818i	−0.996802	+	0.0799090i	$0.974537\pi$
$234$	−2.48083	−	0.204998i	−0.162177	−	0.0134012i
$235$	4.41581	+	7.02772i	0.288056	+	0.458438i
$236$	12.2357	+	3.77421i	0.796475	+	0.245680i
$237$	−3.81101	−	13.4210i	−0.247552	−	0.871786i
$238$	2.79912	+	1.09857i	0.181440	+	0.0712099i
$239$	−6.75858	−	21.9108i	−0.437176	−	1.41729i	−0.859635	−	0.510908i	$-0.829309\pi$
$239$	−6.75858	−	21.9108i	−0.437176	−	1.41729i	0.422459	−	0.906382i	$-0.361167\pi$
$240$	1.23795	+	5.07459i	0.0799091	+	0.327563i
$241$	9.29093	+	13.6273i	0.598482	+	0.877811i	0.999264	−	0.0383620i	$-0.0122140\pi$
$241$	9.29093	+	13.6273i	0.598482	+	0.877811i	−0.400782	+	0.916173i	$0.631262\pi$
$242$	−4.93485	−	3.10077i	−0.317224	−	0.199325i
$243$	−10.5981	−	11.4315i	−0.679869	−	0.733334i
$244$	−8.46412	−	8.46412i	−0.541860	−	0.541860i
$245$	−0.366971	+	4.89688i	−0.0234449	+	0.312850i
$246$	0.465059	−	2.18704i	0.0296511	−	0.139441i
$247$	2.65607	−	1.15883i	0.169002	−	0.0737348i
$248$	3.00824	−	4.41228i	0.191024	−	0.280180i
$249$	4.90991	+	29.5820i	0.311153	+	1.87468i
$250$	2.06947	−	1.78092i	0.130885	−	0.112636i
$251$	0.425037	−	0.676443i	0.0268281	−	0.0426967i	−0.833041	−	0.553211i	$-0.813402\pi$
$251$	0.425037	−	0.676443i	0.0268281	−	0.0426967i	0.859869	+	0.510515i	$0.170545\pi$
$252$	−7.05007	−	5.28692i	−0.444112	−	0.333045i
$253$	11.0791	−	3.87674i	0.696536	−	0.243729i
$254$	−8.02829	−	7.44917i	−0.503740	−	0.467402i
$255$	−4.76413	−	2.42794i	−0.298341	−	0.152044i
$256$	−0.988831	−	0.149042i	−0.0618019	−	0.00931514i
$257$	20.4399	+	22.0289i	1.27500	+	1.37413i	0.893057	+	0.449944i	$0.148556\pi$
$257$	20.4399	+	22.0289i	1.27500	+	1.37413i	0.381947	+	0.924184i	$0.375254\pi$
$258$	10.7026	+	7.06600i	0.666315	+	0.439910i
$259$	−3.53429	+	8.10067i	−0.219610	+	0.503351i
$260$	2.50234			0.155189
$261$	4.40125	+	15.5444i	0.272431	+	0.962175i
$262$	18.3797			1.13550
$263$	−5.11889	+	11.7326i	−0.315644	+	0.723464i	−0.999984	−	0.00569928i	$-0.998186\pi$
$263$	−5.11889	+	11.7326i	−0.315644	+	0.723464i	0.684340	+	0.729163i	$0.260091\pi$
$264$	−0.235893	+	3.93190i	−0.0145182	+	0.241992i
$265$	1.37767	+	1.48477i	0.0846294	+	0.0912088i
$266$	10.1440	+	1.52896i	0.621970	+	0.0937468i
$267$	4.62345	−	3.00196i	0.282950	−	0.183717i
$268$	9.20605	+	8.54197i	0.562349	+	0.521784i
$269$	−15.9633	+	5.58579i	−0.973297	+	0.340571i	−0.769645	−	0.638472i	$-0.779567\pi$
$269$	−15.9633	+	5.58579i	−0.973297	+	0.340571i	−0.203652	+	0.979043i	$0.565281\pi$
$270$	11.5639	+	10.5751i	0.703754	+	0.643581i
$271$	1.02225	−	1.62691i	0.0620975	−	0.0988276i	−0.814232	−	0.580539i	$-0.802842\pi$
$271$	1.02225	−	1.62691i	0.0620975	−	0.0988276i	0.876330	+	0.481712i	$0.159985\pi$
$272$	0.775925	−	0.667738i	0.0470474	−	0.0404875i
$273$	−3.26106	+	2.68094i	−0.197368	+	0.162258i
$274$	9.27808	−	13.6084i	0.560509	−	0.822116i
$275$	−8.53497	+	3.72377i	−0.514678	+	0.224552i
$276$	6.64301	+	5.98239i	0.399862	+	0.360098i
$277$	0.351700	−	4.69311i	0.0211316	−	0.281982i	−0.976621	−	0.214970i	$-0.931035\pi$
$277$	0.351700	−	4.69311i	0.0211316	−	0.281982i	0.997752	−	0.0670114i	$-0.0213464\pi$
$278$	10.8947	+	10.8947i	0.653419	+	0.653419i
$279$	0.122489	−	16.0201i	0.00733320	−	0.959100i
$280$	7.50064	+	4.71297i	0.448249	+	0.281654i
$281$	16.3854	+	24.0330i	0.977471	+	1.43369i	0.899596	+	0.436723i	$0.143861\pi$
$281$	16.3854	+	24.0330i	0.977471	+	1.43369i	0.0778750	+	0.996963i	$0.475187\pi$
$282$	−3.44579	+	3.29397i	−0.205194	+	0.196153i
$283$	7.56430	+	24.5229i	0.449651	+	1.45773i	0.842785	+	0.538251i	$0.180915\pi$
$283$	7.56430	+	24.5229i	0.449651	+	1.45773i	−0.393134	+	0.919481i	$0.628609\pi$
$284$	−0.802988	−	0.315150i	−0.0476486	−	0.0187007i
$285$	−17.6889	−	4.45878i	−1.04780	−	0.264116i
$286$	1.80318	+	0.556208i	0.106624	+	0.0328893i
$287$	−2.01744	−	3.21074i	−0.119086	−	0.189524i
$288$	−2.71278	+	1.28095i	−0.159852	+	0.0754806i
$289$		−	15.9521i		−	0.938357i
$290$	−5.69614	−	15.2085i	−0.334489	−	0.893075i
$291$	−8.32791	−	5.95696i	−0.488191	−	0.349203i
$292$	−4.27894	+	3.15800i	−0.250406	+	0.184808i
$293$	15.8396	+	8.37146i	0.925358	+	0.489066i	0.860854	−	0.508851i	$-0.169930\pi$
$293$	15.8396	+	8.37146i	0.925358	+	0.489066i	0.0645039	+	0.997917i	$0.479454\pi$
$294$	−2.79761	+	0.357437i	−0.163160	+	0.0208462i
$295$	−35.9458	+	14.1077i	−2.09285	+	0.821381i
$296$	1.87597	+	2.35239i	0.109038	+	0.136730i
$297$	5.98231	+	10.1908i	0.347129	+	0.591328i
$298$	−4.28756	−	12.2531i	−0.248372	−	0.709805i
$299$	3.53853	−	2.41253i	0.204638	−	0.139520i
$300$	−5.61004	−	4.33891i	−0.323896	−	0.250507i
$301$	21.3704	−	4.04350i	1.23177	−	0.233064i
$302$	−17.4479	−	4.67515i	−1.00401	−	0.269025i
$303$	13.5157	+	2.34960i	0.776454	+	0.134981i
$304$	2.07386	−	2.80998i	0.118944	−	0.161163i
$305$	35.8716	+	4.04176i	2.05400	+	0.231430i
$306$	0.817506	−	2.96025i	0.0467337	−	0.169226i
$307$	−21.1343	+	21.1343i	−1.20620	+	1.20620i	−0.233951	+	0.972248i	$0.575166\pi$
$307$	−21.1343	+	21.1343i	−1.20620	+	1.20620i	−0.972248	+	0.233951i	$0.924834\pi$
$308$	4.35737	+	5.06336i	0.248284	+	0.288512i
$309$	−25.4349	−	3.44753i	−1.44694	−	0.196123i
$310$	1.20350	+	16.0596i	0.0683542	+	0.912124i
$311$	5.32466	−	6.18737i	0.301934	−	0.350853i	−0.586425	−	0.810004i	$-0.699465\pi$
$311$	5.32466	−	6.18737i	0.301934	−	0.350853i	0.888359	+	0.459150i	$0.151846\pi$
$312$	0.288168	+	1.40800i	0.0163143	+	0.0797125i
$313$	3.23422	−	0.487480i	0.182809	−	0.0275540i	−0.0569997	−	0.998374i	$-0.518153\pi$
$313$	3.23422	−	0.487480i	0.182809	−	0.0275540i	0.239809	+	0.970820i	$0.422915\pi$
$314$	10.0174	+	7.98864i	0.565316	+	0.450825i
$315$	26.5635	−	0.790608i	1.49668	−	0.0445457i
$316$	−6.82031	+	4.28549i	−0.383673	+	0.241078i
$317$	10.7114	+	4.67335i	0.601614	+	0.262482i	0.678550	−	0.734555i	$-0.262609\pi$
$317$	10.7114	+	4.67335i	0.601614	+	0.262482i	−0.0769356	+	0.997036i	$0.524514\pi$
$318$	−0.676791	+	0.946163i	−0.0379526	+	0.0530582i
$319$	−0.724155	−	12.2253i	−0.0405449	−	0.684488i
$320$	2.61170	−	1.50787i	0.145999	−	0.0842924i
$321$	−0.0523842	−	3.52088i	−0.00292380	−	0.196516i
$322$	15.1504	−	0.566886i	0.844296	−	0.0315913i
$323$	0.795541	+	3.48549i	0.0442651	+	0.193938i
$324$	−4.61865	+	7.72451i	−0.256592	+	0.429139i
$325$	−2.65634	+	2.11836i	−0.147347	+	0.117506i
$326$	−9.13870	+	9.84918i	−0.506146	+	0.545496i
$327$	17.7832	−	4.33820i	0.983411	−	0.239903i
$328$	−1.28731	+	0.0964706i	−0.0710798	+	0.00532670i
$329$	−0.302282	+	8.07865i	−0.0166653	+	0.445390i
$330$	−6.83689	−	9.71417i	−0.376359	−	0.534748i
$331$	−5.62106	+	1.50616i	−0.308961	+	0.0827859i	−0.409968	−	0.912100i	$-0.634460\pi$
$331$	−5.62106	+	1.50616i	−0.308961	+	0.0827859i	0.101007	+	0.994886i	$0.467794\pi$
$332$	15.5983	−	7.51176i	0.856069	−	0.412261i
$333$	8.60483	+	2.72646i	0.471542	+	0.149409i
$334$	1.12960	−	10.0255i	0.0618090	−	0.548570i
$335$	−37.7673	−	2.83027i	−2.06345	−	0.154634i
$336$	−1.78809	+	4.76316i	−0.0975486	+	0.259852i
$337$	3.91898	+	20.7123i	0.213480	+	1.12827i	0.911220	+	0.411919i	$0.135141\pi$
$337$	3.91898	+	20.7123i	0.213480	+	1.12827i	−0.697740	+	0.716351i	$0.745811\pi$
$338$	−12.3029	−	0.460341i	−0.669189	−	0.0250393i
$339$	0.751228	−	33.3484i	0.0408011	−	1.81124i
$340$	−0.573940	+	3.03335i	−0.0311263	+	0.164506i
$341$	−2.70241	+	11.8400i	−0.146344	+	0.641173i
$342$	0.471794	−	10.4666i	0.0255117	−	0.565968i
$343$	9.83789	−	12.3363i	0.531196	−	0.666099i
$344$	2.18247	−	7.07541i	0.117671	−	0.381481i
$345$	−26.9114	−	1.61454i	−1.44886	−	0.0869239i
$346$	5.62332	+	7.61933i	0.302312	+	0.409618i
$347$	6.53451	+	11.3181i	0.350791	+	0.607587i	0.986388	−	0.164433i	$-0.0525795\pi$
$347$	6.53451	+	11.3181i	0.350791	+	0.607587i	−0.635597	+	0.772021i	$0.719246\pi$
$348$	7.90148	−	4.95648i	0.423564	−	0.265695i
$349$	8.69511	−	15.0604i	0.465439	−	0.806163i	−0.533783	−	0.845622i	$-0.679230\pi$
$349$	8.69511	−	15.0604i	0.465439	−	0.806163i	0.999221	+	0.0394584i	$0.0125633\pi$
$350$	−11.9520	+	1.34667i	−0.638863	+	0.0719825i
$351$	3.07071	+	3.02661i	0.163902	+	0.161549i
$352$	2.21715	−	0.506050i	0.118174	−	0.0269726i
$353$	4.37880	+	11.1570i	0.233060	+	0.593827i	0.998782	−	0.0493449i	$-0.0157134\pi$
$353$	4.37880	+	11.1570i	0.233060	+	0.593827i	−0.765722	+	0.643172i	$0.777618\pi$
$354$	−12.0775	−	18.6011i	−0.641914	−	0.988640i
$355$	2.48585	−	0.766784i	0.131935	−	0.0406967i
$356$	−2.41237	−	2.07601i	−0.127855	−	0.110028i
$357$	−2.50188	−	4.56797i	−0.132413	−	0.241763i
$358$	−5.98639	−	11.3268i	−0.316390	−	0.598640i
$359$	−11.8890	−	4.16015i	−0.627479	−	0.219564i	−0.00223954	−	0.999997i	$-0.500713\pi$
$359$	−11.8890	−	4.16015i	−0.627479	−	0.219564i	−0.625239	+	0.780433i	$0.714999\pi$
$360$	3.98764	−	8.12100i	0.210167	−	0.428014i
$361$	−2.95176	−	6.12939i	−0.155356	−	0.322599i
$362$	1.62713	+	1.20088i	0.0855200	+	0.0631166i
$363$	3.11863	+	9.60086i	0.163686	+	0.503915i
$364$	2.01383	+	1.37301i	0.105553	+	0.0719650i
$365$	4.15095	−	15.4915i	0.217270	−	0.810864i
$366$	1.85676	+	20.6495i	0.0970544	+	1.07937i
$367$	31.2433	−	16.5126i	1.63089	−	0.861950i	0.634887	−	0.772605i	$-0.281046\pi$
$367$	31.2433	−	16.5126i	1.63089	−	0.861950i	0.996001	−	0.0893450i	$-0.0284774\pi$
$368$	2.23943	−	4.65021i	0.116738	−	0.242409i
$369$	−3.04622	+	2.39141i	−0.158580	+	0.124492i
$370$	−8.84629	−	2.01911i	−0.459897	−	0.104968i
$371$	0.294039	+	1.95082i	0.0152657	+	0.101282i
$372$	−8.89773	+	2.52659i	−0.461326	+	0.130998i
$373$	16.9789	−	15.7541i	0.879132	−	0.815716i	−0.104756	−	0.994498i	$-0.533406\pi$
$373$	16.9789	−	15.7541i	0.879132	−	0.815716i	0.983889	+	0.178782i	$0.0572158\pi$
$374$	−1.08782	+	2.05825i	−0.0562497	+	0.106430i
$375$	−4.72845	+	0.0703507i	−0.244176	+	0.00363290i
$376$	2.38347	+	1.37610i	0.122918	+	0.0709668i
$377$	−1.40970	−	4.24021i	−0.0726032	−	0.218382i
$378$	3.50389	+	14.8556i	0.180221	+	0.764088i
$379$	0.406450	+	3.60734i	0.0208779	+	0.185297i	0.999823	−	0.0188284i	$-0.00599363\pi$
$379$	0.406450	+	3.60734i	0.0208779	+	0.185297i	−0.978945	+	0.204125i	$0.934565\pi$
$380$	0.393810	+	10.5248i	0.0202020	+	0.539911i
$381$	2.40406	+	18.8163i	0.123164	+	0.963986i
$382$	1.72354	−	11.4350i	0.0881841	−	0.585063i
$383$	9.29347	−	23.6794i	0.474874	−	1.20996i	−0.470041	−	0.882644i	$-0.655761\pi$
$383$	9.29347	−	23.6794i	0.474874	−	1.20996i	0.944915	−	0.327315i	$-0.106144\pi$
$384$	1.14920	+	1.29589i	0.0586449	+	0.0661308i
$385$	−19.7943	−	3.74529i	−1.00881	−	0.190878i
$386$	−17.5051	−	8.42999i	−0.890984	−	0.429075i
$387$	−6.38494	−	21.2757i	−0.324565	−	1.08150i
$388$	−1.95246	+	5.57982i	−0.0991213	+	0.283272i
$389$	1.23894	+	4.62379i	0.0628168	+	0.234436i	0.990196	−	0.139688i	$-0.0446101\pi$
$389$	1.23894	+	4.62379i	0.0628168	+	0.234436i	−0.927379	+	0.374124i	$0.877943\pi$
$390$	−3.32688	−	2.77795i	−0.168463	−	0.140667i
$391$	2.11287	+	4.84275i	0.106852	+	0.244908i
$392$	0.651157	+	1.49247i	0.0328884	+	0.0753810i
$393$	−24.4359	−	20.4040i	−1.23263	−	1.02924i
$394$	0.956409	+	3.56937i	0.0481832	+	0.179822i
$395$	8.02300	−	22.9284i	0.403681	−	1.15365i
$396$	4.67858	−	4.96562i	0.235108	−	0.249532i
$397$	−29.6767	−	14.2916i	−1.48943	−	0.717273i	−0.500514	−	0.865729i	$-0.666856\pi$
$397$	−29.6767	−	14.2916i	−1.48943	−	0.717273i	−0.988919	+	0.148456i	$0.952570\pi$
$398$	3.48824	+	0.660011i	0.174850	+	0.0330834i
$399$	−11.7892	−	13.2940i	−0.590197	−	0.665535i
$400$	−1.49595	+	3.81161i	−0.0747973	+	0.190580i
$401$	5.73700	−	38.0625i	0.286492	−	1.90075i	−0.129837	−	0.991535i	$-0.541445\pi$
$401$	5.73700	−	38.0625i	0.286492	−	1.90075i	0.416328	−	0.909214i	$-0.363317\pi$
$402$	−2.75674	−	21.5766i	−0.137494	−	1.07614i
$403$	0.165684	+	4.42800i	0.00825331	+	0.220574i
$404$	−0.886792	−	7.87050i	−0.0441196	−	0.391572i
$405$	−3.63439	−	26.8972i	−0.180594	−	1.33653i
$406$	3.76060	−	15.3649i	0.186636	−	0.762546i
$407$	−5.92582	−	3.42128i	−0.293732	−	0.169586i
$408$	−1.77288	+	0.0263772i	−0.0877707	+	0.00130587i
$409$	6.28448	−	11.8908i	0.310747	−	0.587963i	−0.678434	−	0.734662i	$-0.737341\pi$
$409$	6.28448	−	11.8908i	0.310747	−	0.587963i	0.989181	+	0.146699i	$0.0468648\pi$
$410$	2.85382	−	2.64796i	0.140940	−	0.130773i
$411$	−27.4425	+	7.79257i	−1.35364	+	0.384379i
$412$	2.20867	+	14.6536i	0.108813	+	0.721930i
$413$	−36.6691	−	8.36948i	−1.80437	−	0.411835i
$414$	−2.19065	−	15.3283i	−0.107664	−	0.753345i
$415$	−22.6535	+	47.0404i	−1.11201	+	2.30912i
$416$	0.733605	−	0.387722i	0.0359680	−	0.0190096i
$417$	−2.38995	−	26.5792i	−0.117036	−	1.30159i
$418$	−2.05562	+	7.67169i	−0.100544	+	0.375234i
$419$	−0.960305	−	0.654725i	−0.0469140	−	0.0319854i	0.539636	−	0.841898i	$-0.318562\pi$
$419$	−0.960305	−	0.654725i	−0.0469140	−	0.0319854i	−0.586550	+	0.809913i	$0.699514\pi$
$420$	−4.74011	−	14.5927i	−0.231294	−	0.712050i
$421$	2.85918	+	2.11017i	0.139348	+	0.102843i	0.661263	−	0.750154i	$-0.270021\pi$
$421$	2.85918	+	2.11017i	0.139348	+	0.102843i	−0.521916	+	0.852997i	$0.674782\pi$
$422$	−0.237543	−	0.493263i	−0.0115634	−	0.0240117i
$423$	8.23798	−	0.554047i	0.400544	−	0.0269387i
$424$	0.633943	+	0.221826i	0.0307870	+	0.0107728i
$425$	−1.95862	−	3.70590i	−0.0950072	−	0.179762i
$426$	0.717719	+	1.31042i	0.0347736	+	0.0634902i
$427$	26.6510	+	22.9350i	1.28973	+	1.10990i
$428$	−1.94268	+	0.599239i	−0.0939032	+	0.0289653i
$429$	−1.77988	−	2.74127i	−0.0859333	−	0.132350i
$430$	8.15792	+	20.7860i	0.393410	+	1.00239i
$431$	2.87050	−	0.655172i	0.138267	−	0.0315585i	−0.152827	−	0.988253i	$-0.548838\pi$
$431$	2.87050	−	0.655172i	0.138267	−	0.0315585i	0.291094	+	0.956694i	$0.405981\pi$
$432$	5.02869	+	1.30853i	0.241943	+	0.0629569i
$433$	−27.7283	+	3.12423i	−1.33254	+	0.150141i	−0.749338	−	0.662188i	$-0.769628\pi$
$433$	−27.7283	+	3.12423i	−1.33254	+	0.150141i	−0.583200	+	0.812329i	$0.698199\pi$
$434$	−7.84316	+	13.5847i	−0.376484	+	0.652089i
$435$	−9.31051	+	26.5434i	−0.446405	+	1.27266i
$436$	−5.28410	−	9.15233i	−0.253063	−	0.438317i
$437$	10.7039	+	14.5033i	0.512038	+	0.693786i
$438$	9.19471	+	0.551633i	0.439340	+	0.0263580i
$439$	9.93389	−	32.2049i	0.474119	−	1.53705i	−0.330818	−	0.943694i	$-0.607325\pi$
$439$	9.93389	−	32.2049i	0.474119	−	1.53705i	0.804937	−	0.593360i	$-0.202199\pi$
$440$	−4.27607	+	5.36202i	−0.203854	+	0.255624i
$441$	4.11625	+	2.63052i	0.196012	+	0.125263i
$442$	−0.189013	+	0.828119i	−0.00899042	+	0.0393896i
$443$	−0.405976	+	2.14564i	−0.0192885	+	0.101942i	−0.990888	−	0.134690i	$-0.956996\pi$
$443$	−0.405976	+	2.14564i	−0.0192885	+	0.101942i	0.971599	+	0.236632i	$0.0760437\pi$
$444$	0.117366	−	5.21010i	0.00556995	−	0.247260i
$445$	9.59135	+	0.358883i	0.454674	+	0.0170127i
$446$	−3.68470	−	19.4741i	−0.174475	−	0.922125i
$447$	−7.90235	+	21.0504i	−0.373768	+	0.995651i
$448$	2.92919	+	0.219512i	0.138391	+	0.0103710i
$449$	0.284562	−	2.52556i	0.0134293	−	0.119189i	−0.985209	−	0.171357i	$-0.945185\pi$
$449$	0.284562	−	2.52556i	0.0134293	−	0.119189i	0.998638	+	0.0521686i	$0.0166133\pi$
$450$	2.64180	+	11.9965i	0.124535	+	0.565522i
$451$	2.64504	−	1.27378i	0.124550	−	0.0599800i
$452$	−18.6024	+	4.98449i	−0.874983	+	0.234451i
$453$	18.0071	+	25.5853i	0.846046	+	1.20210i
$454$	−0.734879	+	19.6401i	−0.0344896	+	0.921753i
$455$	−7.32983	+	0.549295i	−0.343628	+	0.0257513i
$456$	−5.87668	+	1.43362i	−0.275201	+	0.0671353i
$457$	−12.5336	+	13.5080i	−0.586297	+	0.631878i	−0.954622	−	0.297819i	$-0.903741\pi$
$457$	−12.5336	+	13.5080i	−0.586297	+	0.631878i	0.368325	+	0.929697i	$0.379931\pi$
$458$	0.0670445	−	0.0534662i	0.00313278	−	0.00249831i
$459$	−4.37317	+	3.02813i	−0.204122	+	0.141341i
$460$	3.46360	+	15.1750i	0.161491	+	0.707538i
$461$	23.5508	−	0.881210i	1.09687	−	0.0410420i	0.517179	−	0.855877i	$-0.326982\pi$
$461$	23.5508	−	0.881210i	1.09687	−	0.0410420i	0.579692	+	0.814835i	$0.303173\pi$
$462$	−0.172127	−	11.5691i	−0.00800805	−	0.538242i
$463$	−24.1096	+	13.9197i	−1.12047	+	0.646902i	−0.941520	−	0.336956i	$-0.890603\pi$
$463$	−24.1096	+	13.9197i	−1.12047	+	0.646902i	−0.178947	+	0.983859i	$0.557269\pi$
$464$	−4.02639	−	3.57606i	−0.186920	−	0.166015i
$465$	16.2283	−	22.6874i	0.752571	−	1.05210i
$466$	−2.23597	−	0.975543i	−0.103579	−	0.0451911i
$467$	15.0100	−	9.43142i	0.694581	−	0.436434i	−0.137931	−	0.990442i	$-0.544045\pi$
$467$	15.0100	−	9.43142i	0.694581	−	0.436434i	0.832511	+	0.554008i	$0.186902\pi$
$468$	1.17996	−	2.19186i	0.0545436	−	0.101319i
$469$	−28.8413	−	23.0002i	−1.33177	−	1.06205i
$470$	−8.20719	+	1.23703i	−0.378569	+	0.0570602i
$471$	−4.44975	−	21.7417i	−0.205034	−	1.00180i
$472$	−8.35224	+	9.70548i	−0.384443	+	0.446731i
$473$	1.25836	+	16.7917i	0.0578596	+	0.772082i
$474$	13.8251	+	1.87391i	0.635010	+	0.0860716i
$475$	−9.32784	−	10.8391i	−0.427991	−	0.497334i
$476$	−2.12625	+	2.12625i	−0.0974567	+	0.0974567i
$477$	1.95017	−	0.506598i	0.0892922	−	0.0231955i
$478$	22.7853	+	2.56729i	1.04217	+	0.117425i
$479$	−14.3748	+	19.4772i	−0.656803	+	0.889937i	−0.998760	−	0.0497786i	$-0.984148\pi$
$479$	−14.3748	+	19.4772i	−0.656803	+	0.889937i	0.341957	+	0.939716i	$0.388910\pi$
$480$	−5.14622	−	0.894633i	−0.234892	−	0.0408342i
$481$	−2.41153	−	0.646168i	−0.109956	−	0.0294627i
$482$	−16.2056	+	3.06627i	−0.738146	+	0.139665i
$483$	−20.7718	−	16.0653i	−0.945151	−	0.730998i
$484$	4.81545	−	3.28312i	0.218884	−	0.149233i
$485$	−5.88811	−	16.8273i	−0.267365	−	0.764086i
$486$	14.7158	−	5.14244i	0.667523	−	0.233266i
$487$	18.9296	+	23.7369i	0.857780	+	1.07562i	0.996358	+	0.0852706i	$0.0271755\pi$
$487$	18.9296	+	23.7369i	0.857780	+	1.07562i	−0.138578	+	0.990352i	$0.544253\pi$
$488$	11.1426	−	4.37316i	0.504403	−	0.197964i
$489$	23.0839	−	2.94933i	1.04389	−	0.133373i
$490$	−4.34155	−	2.29458i	−0.196131	−	0.103658i
$491$	28.7563	−	21.2231i	1.29775	−	0.957786i	0.297759	−	0.954641i	$-0.403761\pi$
$491$	28.7563	−	21.2231i	1.29775	−	0.957786i	0.999995	−	0.00314520i	$-0.00100115\pi$
$492$	1.81858	+	1.30084i	0.0819881	+	0.0586462i
$493$	5.46333	−	0.736302i	0.246056	−	0.0331614i
$494$			2.89787i			0.130381i
$495$	−1.69439	+	20.5050i	−0.0761570	+	0.921630i
$496$	2.84116	+	4.52168i	0.127572	+	0.203029i
$497$	2.42128	+	0.746867i	0.108609	+	0.0335016i
$498$	−29.0772	−	7.32937i	−1.30298	−	0.328437i
$499$	23.5088	+	9.22652i	1.05240	+	0.413036i	0.827570	−	0.561363i	$-0.189723\pi$
$499$	23.5088	+	9.22652i	1.05240	+	0.413036i	0.224828	+	0.974398i	$0.427818\pi$
$500$	0.804763	+	2.60898i	0.0359901	+	0.116677i
$501$	−12.6315	+	12.0749i	−0.564333	+	0.539468i
$502$	0.450033	+	0.660077i	0.0200859	+	0.0294607i
$503$	−26.3284	−	16.5432i	−1.17393	−	0.737626i	−0.203511	−	0.979073i	$-0.565235\pi$
$503$	−26.3284	−	16.5432i	−1.17393	−	0.737626i	−0.970414	+	0.241446i	$0.922378\pi$
$504$	7.66506	−	4.34763i	0.341429	−	0.193659i
$505$	16.8896	+	16.8896i	0.751578	+	0.751578i
$506$	−0.877165	+	11.7049i	−0.0389947	+	0.520348i
$507$	15.8457	+	14.2699i	0.703734	+	0.633750i
$508$	10.0381	−	4.37957i	0.445368	−	0.194312i
$509$	13.6113	−	19.9641i	0.603309	−	0.884892i	−0.396136	−	0.918192i	$-0.629649\pi$
$509$	13.6113	−	19.9641i	0.603309	−	0.884892i	0.999445	+	0.0332999i	$0.0106016\pi$
$510$	4.13049	−	3.39570i	0.182901	−	0.150364i
$511$	11.8406	−	10.1897i	0.523798	−	0.450764i
$512$	0.532032	−	0.846724i	0.0235127	−	0.0374203i
$513$	−12.2466	+	13.3917i	−0.540702	+	0.591256i
$514$	−28.3646	+	9.92522i	−1.25111	+	0.437783i
$515$	−32.7604	−	30.3972i	−1.44360	−	1.33946i
$516$	−10.7563	+	6.98396i	−0.473520	+	0.307452i
$517$	−6.18905	−	0.932849i	−0.272194	−	0.0410266i
$518$	−6.01144	−	6.47879i	−0.264127	−	0.284662i
$519$	0.982269	−	16.3726i	0.0431168	−	0.718679i
$520$	−1.00067	+	2.29355i	−0.0438821	+	0.100579i
$521$	40.3088			1.76596			0.882980	−	0.469411i	$-0.155534\pi$
$521$	40.3088			1.76596			0.882980	+	0.469411i	$0.155534\pi$
$522$	−16.0075	−	2.18207i	−0.700627	−	0.0955064i
$523$	12.8064			0.559987			0.279993	−	0.960002i	$-0.409668\pi$
$523$	12.8064			0.559987			0.279993	+	0.960002i	$0.409668\pi$
$524$	−7.34988	+	16.8461i	−0.321081	+	0.735925i
$525$	17.3853	+	11.4780i	0.758757	+	0.500941i
$526$	−8.70667	−	9.38356i	−0.379629	−	0.409143i
$527$	−5.40563	−	0.814768i	−0.235473	−	0.0354918i
$528$	−3.50950	−	1.78855i	−0.152732	−	0.0778365i
$529$	2.66795	+	2.47550i	0.115998	+	0.107630i
$530$	−1.91180	+	0.668969i	−0.0830434	+	0.0290582i
$531$	−4.59269	+	38.1381i	−0.199306	+	1.65505i
$532$	−5.45790	+	8.68620i	−0.236630	+	0.376595i
$533$	0.811906	−	0.698702i	0.0351676	−	0.0302641i
$534$	0.902601	+	5.43814i	0.0390594	+	0.235331i
$535$	3.45372	−	5.06567i	0.149317	−	0.219008i
$536$	−11.5107	+	5.02205i	−0.497185	+	0.216920i
$537$	−4.61538	+	21.7048i	−0.199168	+	0.936631i
$538$	1.26386	−	16.8650i	0.0544888	−	0.727103i
$539$	−2.61849	−	2.61849i	−0.112786	−	0.112786i
$540$	−14.3170	+	6.37009i	−0.616107	+	0.274125i
$541$	−0.783647	−	0.492398i	−0.0336916	−	0.0211699i	0.515081	−	0.857142i	$-0.327762\pi$
$541$	−0.783647	−	0.492398i	−0.0336916	−	0.0211699i	−0.548773	+	0.835972i	$0.684905\pi$
$542$	1.08237	+	1.58755i	0.0464918	+	0.0681910i
$543$	−0.830141	−	3.40291i	−0.0356248	−	0.146033i
$544$	0.301737	+	0.978207i	0.0129369	+	0.0419403i
$545$	29.6678	+	11.6437i	1.27083	+	0.498763i
$546$	−1.15317	−	4.06105i	−0.0493513	−	0.173797i
$547$	−9.49126	−	2.92767i	−0.405817	−	0.125178i	0.0851249	−	0.996370i	$-0.472871\pi$
$547$	−9.49126	−	2.92767i	−0.405817	−	0.125178i	−0.490942	+	0.871192i	$0.663347\pi$
$548$	8.76276	+	13.9458i	0.374326	+	0.595737i
$549$	20.4552	−	29.5149i	0.873007	−	1.25966i
$550$		−	9.31194i		−	0.397062i
$551$	17.6124	−	6.59648i	0.750313	−	0.281019i
$552$	−8.13972	+	3.69642i	−0.346449	+	0.157330i
$553$	19.0373	−	14.0501i	0.809547	−	0.597473i
$554$	4.16089	+	2.19909i	0.176779	+	0.0934305i
$555$	9.51972	+	12.5050i	0.404090	+	0.530809i
$556$	−14.3423	+	5.62895i	−0.608251	+	0.238721i
$557$	23.9348	+	30.0133i	1.01415	+	1.27170i	0.961996	+	0.273064i	$0.0880372\pi$
$557$	23.9348	+	30.0133i	1.01415	+	1.27170i	0.0521540	+	0.998639i	$0.483391\pi$
$558$	14.6345	+	6.51859i	0.619526	+	0.275954i
$559$	2.02919	+	5.79909i	0.0858255	+	0.245275i
$560$	−7.31917	+	4.99013i	−0.309292	+	0.210871i
$561$	3.73121	−	1.52883i	0.157532	−	0.0645473i
$562$	−28.5801	+	5.40765i	−1.20558	+	0.228108i
$563$	4.60322	+	1.23343i	0.194003	+	0.0519829i	0.354512	−	0.935051i	$-0.384647\pi$
$563$	4.60322	+	1.23343i	0.194003	+	0.0519829i	−0.160509	+	0.987034i	$0.551314\pi$
$564$	−1.64118	−	4.47552i	−0.0691063	−	0.188453i
$565$	34.4884	−	46.7301i	1.45094	−	1.96595i
$566$	−25.5016	−	2.87334i	−1.07191	−	0.120776i
$567$	11.8333	−	23.6404i	0.496951	−	0.992803i
$568$	0.609963	−	0.609963i	0.0255935	−	0.0255935i
$569$	−1.89379	−	2.20062i	−0.0793918	−	0.0922549i	0.716871	−	0.697206i	$-0.245574\pi$
$569$	−1.89379	−	2.20062i	−0.0793918	−	0.0922549i	−0.796263	+	0.604951i	$0.793193\pi$
$570$	11.1604	−	14.4300i	0.467459	−	0.604406i
$571$	2.41454	+	32.2199i	0.101046	+	1.34836i	0.785300	+	0.619116i	$0.212509\pi$
$571$	2.41454	+	32.2199i	0.101046	+	1.34836i	−0.684254	+	0.729243i	$0.739872\pi$
$572$	−1.23088	+	1.43031i	−0.0514656	+	0.0598041i
$573$	−14.9859	+	13.2895i	−0.626043	+	0.555176i
$574$	3.74960	−	0.565161i	0.156505	−	0.0235894i
$575$	−16.5232	−	13.1768i	−0.689065	−	0.549511i
$576$	−0.0892493	−	2.99867i	−0.00371872	−	0.124945i
$577$	16.3304	−	10.2610i	0.679842	−	0.427173i	−0.147356	−	0.989083i	$-0.547076\pi$
$577$	16.3304	−	10.2610i	0.679842	−	0.427173i	0.827198	+	0.561911i	$0.189933\pi$
$578$	14.6211	+	6.37910i	0.608156	+	0.265336i
$579$	13.9146	+	30.6408i	0.578273	+	1.27339i
$580$	16.2174	+	0.860896i	0.673391	+	0.0357468i
$581$	−44.0415	+	25.4274i	−1.82715	+	1.05491i
$582$	8.79019	−	5.25091i	0.364365	−	0.217657i
$583$	−1.52634	+	0.0571115i	−0.0632144	+	0.00236532i
$584$	−1.18339	−	5.18478i	−0.0489691	−	0.214548i
$585$	1.33921	+	7.38661i	0.0553694	+	0.305399i
$586$	−14.0071	+	11.1703i	−0.578628	+	0.461440i
$587$	27.7102	−	29.8645i	1.14372	−	1.23264i	0.174979	−	0.984572i	$-0.444014\pi$
$587$	27.7102	−	29.8645i	1.14372	−	1.23264i	0.968743	−	0.248067i	$-0.0797954\pi$
$588$	0.791128	−	2.70712i	0.0326256	−	0.111640i
$589$	−18.5980	+	1.39373i	−0.766317	+	0.0574275i
$590$	1.44387	−	38.5881i	0.0594430	−	1.58865i
$591$	2.69094	−	5.80725i	0.110691	−	0.238878i
$592$	−2.90629	+	0.778739i	−0.119448	+	0.0320060i
$593$	−31.0730	+	14.9640i	−1.27602	+	0.614497i	−0.944363	−	0.328904i	$-0.893321\pi$
$593$	−31.0730	+	14.9640i	−1.27602	+	0.614497i	−0.331653	+	0.943401i	$0.607606\pi$
$594$	−11.7327	+	1.40795i	−0.481400	+	0.0577691i
$595$	1.01532	−	9.01123i	0.0416241	−	0.369424i
$596$	12.9453	+	0.970118i	0.530261	+	0.0397376i
$597$	−3.90494	−	4.74993i	−0.159819	−	0.194402i
$598$	0.796202	+	4.20803i	0.0325591	+	0.172079i
$599$	−24.1926	−	0.905222i	−0.988481	−	0.0369863i	−0.461743	−	0.887014i	$-0.652776\pi$
$599$	−24.1926	−	0.905222i	−0.988481	−	0.0369863i	−0.526738	+	0.850028i	$0.676585\pi$
$600$	6.22029	−	3.40685i	0.253942	−	0.139084i
$601$	−1.41308	+	7.46830i	−0.0576407	+	0.304638i	−0.999509	−	0.0313450i	$-0.990021\pi$
$601$	−1.41308	+	7.46830i	−0.0576407	+	0.304638i	0.941868	+	0.335983i	$0.109069\pi$
$602$	−4.83974	+	21.2043i	−0.197253	+	0.864222i
$603$	−20.2879	+	31.7466i	−0.826188	+	1.29282i
$604$	11.2624	−	14.1225i	0.458259	−	0.574638i
$605$	−5.18067	+	16.7953i	−0.210624	+	0.682827i
$606$	−7.55835	+	11.4484i	−0.307037	+	0.465058i
$607$	7.40589	+	10.0346i	0.300596	+	0.407293i	0.928697	−	0.370838i	$-0.120930\pi$
$607$	7.40589	+	10.0346i	0.300596	+	0.407293i	−0.628101	+	0.778131i	$0.716168\pi$
$608$	1.74620	+	3.02451i	0.0708179	+	0.122660i
$609$	−22.0569	+	16.2529i	−0.893791	+	0.658602i
$610$	−18.0493	+	31.2623i	−0.730794	+	1.26577i
$611$	−2.26931	+	0.255690i	−0.0918064	+	0.0103441i
$612$	2.38634	+	1.93308i	0.0964621	+	0.0781399i
$613$	−2.49720	+	0.569970i	−0.100861	+	0.0230209i	−0.272654	−	0.962112i	$-0.587901\pi$
$613$	−2.49720	+	0.569970i	−0.100861	+	0.0230209i	0.171793	+	0.985133i	$0.445044\pi$
$614$	−10.9195	−	27.8224i	−0.440674	−	1.12282i
$615$	−6.73379	+	0.352343i	−0.271532	+	0.0142078i
$616$	−6.38336	+	1.96901i	−0.257193	+	0.0793336i
$617$	2.95913	+	2.54654i	0.119130	+	0.102520i	0.709835	−	0.704368i	$-0.248769\pi$
$617$	2.95913	+	2.54654i	0.119130	+	0.102520i	−0.590705	+	0.806888i	$0.701150\pi$
$618$	13.3311	−	21.9340i	0.536254	−	0.882314i
$619$	−12.0104	−	22.7248i	−0.482738	−	0.913385i	−0.998397	−	0.0565913i	$-0.981977\pi$
$619$	−12.0104	−	22.7248i	−0.482738	−	0.913385i	0.515659	−	0.856794i	$-0.327547\pi$
$620$	−15.2009	−	5.31902i	−0.610482	−	0.213617i
$621$	−14.1041	+	22.8110i	−0.565977	+	0.915374i
$622$	3.54182	+	7.35466i	0.142014	+	0.294895i
$623$	7.52199	+	5.55148i	0.301362	+	0.222415i
$624$	−1.40576	−	0.298925i	−0.0562754	−	0.0119666i
$625$	−23.7189	−	16.1713i	−0.948756	−	0.646851i
$626$	−0.846533	+	3.15930i	−0.0338343	+	0.126271i
$627$	11.2496	−	7.91754i	0.449266	−	0.316196i
$628$	−11.3280	+	5.98701i	−0.452035	+	0.238908i
$629$	1.33640	−	2.77506i	0.0532857	−	0.110649i
$630$	−9.89790	+	24.6633i	−0.394342	+	0.982608i
$631$	−26.8147	−	6.12028i	−1.06748	−	0.243645i	−0.347526	−	0.937670i	$-0.612978\pi$
$631$	−26.8147	−	6.12028i	−1.06748	−	0.243645i	−0.719950	+	0.694026i	$0.755835\pi$
$632$	−1.20053	−	7.96498i	−0.0477544	−	0.316830i
$633$	−0.231776	+	0.919503i	−0.00921225	+	0.0365470i
$634$	−8.56683	+	7.94886i	−0.340232	+	0.315690i
$635$	−15.4329	+	29.2005i	−0.612437	+	1.15879i
$636$	−0.596574	−	0.998684i	−0.0236557	−	0.0396004i
$637$	−1.17011	−	0.675564i	−0.0463615	−	0.0267668i
$638$	11.4949	+	4.22508i	0.455086	+	0.167273i
$639$	0.500539	−	2.53898i	0.0198010	−	0.100441i
$640$	0.337655	+	2.99677i	0.0133470	+	0.118458i
$641$	−1.32864	−	35.5088i	−0.0524783	−	1.40251i	−0.738168	−	0.674617i	$-0.764309\pi$
$641$	−1.32864	−	35.5088i	−0.0524783	−	1.40251i	0.685690	−	0.727894i	$-0.259501\pi$
$642$	3.24805	+	1.35996i	0.128190	+	0.0536732i
$643$	−3.77802	+	25.0655i	−0.148990	+	0.988487i	0.781957	+	0.623333i	$0.214222\pi$
$643$	−3.77802	+	25.0655i	−0.148990	+	0.988487i	−0.930947	+	0.365154i	$0.881016\pi$
$644$	−5.53892	+	14.1129i	−0.218264	+	0.556128i
$645$	12.2294	−	36.6916i	0.481532	−	1.44473i
$646$	−3.51280	−	0.664658i	−0.138209	−	0.0261506i
$647$	20.1265	+	9.69239i	0.791253	+	0.381047i	0.785441	−	0.618936i	$-0.212436\pi$
$647$	20.1265	+	9.69239i	0.791253	+	0.381047i	0.00581119	+	0.999983i	$0.498150\pi$
$648$	−5.23303	−	7.32225i	−0.205573	−	0.287645i
$649$	9.61762	−	27.4856i	0.377525	−	1.07890i
$650$	−0.879361	−	3.28182i	−0.0344914	−	0.128724i
$651$	25.5085	−	9.35403i	0.999757	−	0.366613i
$652$	−5.37289	−	12.3148i	−0.210419	−	0.482285i
$653$	13.3497	+	30.5978i	0.522414	+	1.19739i	0.955219	+	0.295899i	$0.0956191\pi$
$653$	13.3497	+	30.5978i	0.522414	+	1.19739i	−0.432805	+	0.901488i	$0.642476\pi$
$654$	−3.13511	+	18.0342i	−0.122593	+	0.705192i
$655$	−14.3459	−	53.5395i	−0.560539	−	2.09196i
$656$	0.426364	−	1.21848i	0.0166467	−	0.0475736i
$657$	−11.6120	−	10.9408i	−0.453029	−	0.426842i
$658$	−7.28371	−	3.50765i	−0.283948	−	0.136742i
$659$	18.4008	+	3.48162i	0.716793	+	0.135625i	0.531499	−	0.847059i	$-0.321629\pi$
$659$	18.4008	+	3.48162i	0.716793	+	0.135625i	0.185293	+	0.982683i	$0.440676\pi$
$660$	11.6377	−	2.38182i	0.452995	−	0.0927121i
$661$	4.45540	−	11.3522i	0.173295	−	0.441549i	−0.817667	−	0.575692i	$-0.804733\pi$
$661$	4.45540	−	11.3522i	0.173295	−	0.441549i	0.990962	+	0.134143i	$0.0428281\pi$
$662$	0.867329	−	5.75435i	0.0337097	−	0.223649i
$663$	1.17062	−	0.891161i	0.0454632	−	0.0346098i
$664$	0.647347	+	17.3007i	0.0251220	+	0.671398i
$665$	−3.46387	−	30.7427i	−0.134323	−	1.19215i
$666$	−5.93998	+	6.79658i	−0.230169	+	0.263362i
$667$	23.7628	−	14.4179i	0.920098	−	0.558264i
$668$	8.73726	+	5.04446i	0.338055	+	0.195176i
$669$	−16.7201	+	29.9815i	−0.646437	+	1.15915i
$670$	17.6969	−	33.4843i	0.683693	−	1.29361i
$671$	−19.9551	+	18.5156i	−0.770358	+	0.714788i
$672$	−3.65069	−	3.54365i	−0.140828	−	0.136699i
$673$	−2.48826	−	16.5085i	−0.0959154	−	0.636357i	−0.984200	−	0.177063i	$-0.943340\pi$
$673$	−2.48826	−	16.5085i	−0.0959154	−	0.636357i	0.888284	−	0.459294i	$-0.151898\pi$
$674$	−20.5513	−	4.69069i	−0.791605	−	0.180679i
$675$	9.80554	−	18.8822i	0.377415	−	0.726778i
$676$	5.34176	−	11.0923i	0.205452	−	0.426626i
$677$	−19.4173	+	10.2624i	−0.746268	+	0.394414i	−0.796749	−	0.604311i	$-0.793449\pi$
$677$	−19.4173	+	10.2624i	−0.746268	+	0.394414i	0.0504806	+	0.998725i	$0.483925\pi$
$678$	30.2655	+	14.0243i	1.16234	+	0.538601i
$679$	4.49429	−	16.7729i	0.172475	−	0.643686i
$680$	−2.55074	−	1.73906i	−0.0978163	−	0.0666900i
$681$	22.7802	−	25.2958i	0.872940	−	0.969336i
$682$	−9.77145	−	7.21165i	−0.374168	−	0.276149i
$683$	20.3797	+	42.3189i	0.779807	+	1.61929i	0.785154	+	0.619301i	$0.212584\pi$
$683$	20.3797	+	42.3189i	0.779807	+	1.61929i	−0.00534661	+	0.999986i	$0.501702\pi$
$684$	9.40461	+	4.61793i	0.359594	+	0.176571i
$685$	−46.8829	−	16.4050i	−1.79130	−	0.626804i
$686$	7.37292	+	13.9502i	0.281499	+	0.532623i
$687$	−0.148491	−	0.00334501i	−0.00566529	−	0.000127620i
$688$	5.61230	+	4.82977i	0.213967	+	0.184133i
$689$	−0.532536	+	0.164266i	−0.0202880	+	0.00625802i
$690$	12.2415	−	24.0204i	0.466026	−	0.914439i
$691$	−7.09704	−	18.0830i	−0.269984	−	0.687908i	−0.999990	−	0.00446734i	$-0.998578\pi$
$691$	−7.09704	−	18.0830i	−0.269984	−	0.687908i	0.730006	−	0.683441i	$-0.239517\pi$
$692$	−9.23232	+	2.10722i	−0.350960	+	0.0801043i
$693$	−12.6144	+	15.5723i	−0.479183	+	0.591541i
$694$	−12.9868	+	1.46327i	−0.492974	+	0.0555448i
$695$	23.2323	−	40.2395i	0.881252	−	1.52637i
$696$	1.38318	+	9.22425i	0.0524294	+	0.349644i
$697$	0.660748	+	1.14445i	0.0250276	+	0.0433491i
$698$	10.3267	+	13.9921i	0.390870	+	0.529610i
$699$	1.88975	+	3.77923i	0.0714768	+	0.142943i
$700$	3.54521	−	11.4933i	0.133996	−	0.434406i
$701$	−5.32451	+	6.67673i	−0.201104	+	0.252177i	−0.872149	−	0.489240i	$-0.837274\pi$
$701$	−5.32451	+	6.67673i	−0.201104	+	0.252177i	0.671045	+	0.741416i	$0.265846\pi$
$702$	−4.00203	+	1.60418i	−0.151047	+	0.0605457i
$703$	2.33825	−	10.2445i	0.0881888	−	0.386380i
$704$	−0.422794	+	2.23452i	−0.0159347	+	0.0842167i
$705$	12.2848	+	7.46648i	0.462672	+	0.281204i
$706$	−11.9771	−	0.448152i	−0.450765	−	0.0168664i
$707$	4.32525	+	22.8595i	0.162668	+	0.859721i
$708$	21.8788	−	3.63136i	0.822256	−	0.136475i
$709$	35.4685	+	2.65799i	1.33205	+	0.0998230i	0.721642	−	0.692267i	$-0.243388\pi$
$709$	35.4685	+	2.65799i	1.33205	+	0.0998230i	0.610404	+	0.792090i	$0.291007\pi$
$710$	−0.291267	+	2.58507i	−0.0109311	+	0.0970159i
$711$	−16.3003	−	17.8392i	−0.611311	−	0.669023i
$712$	2.86748	−	1.38091i	0.107463	−	0.0517516i
$713$	−26.6235	+	7.13373i	−0.997056	+	0.267160i
$714$	5.18731	−	0.466433i	0.194130	−	0.0174558i
$715$	0.212784	−	5.68677i	0.00795766	−	0.212673i
$716$	12.7756	−	0.957401i	0.477448	−	0.0357797i
$717$	−27.4432	−	28.7081i	−1.02488	−	1.07212i
$718$	8.56736	−	9.23342i	0.319731	−	0.344588i
$719$	25.8936	−	20.6494i	0.965667	−	0.770094i	−0.00755215	−	0.999971i	$-0.502404\pi$
$719$	25.8936	−	20.6494i	0.965667	−	0.770094i	0.973220	+	0.229877i	$0.0738325\pi$
$720$	5.84877	+	6.90244i	0.217971	+	0.257239i
$721$	−9.68626	−	42.4383i	−0.360735	−	1.58048i
$722$	6.79835	−	0.254376i	0.253008	−	0.00946691i
$723$	24.9495	+	13.9139i	0.927882	+	0.517463i
$724$	−1.75135	+	1.01114i	−0.0650885	+	0.0375789i
$725$	−17.9443	+	12.8150i	−0.666433	+	0.475937i
$726$	−10.0469	−	0.980890i	−0.372876	−	0.0364043i
$727$	26.0771	+	11.3773i	0.967145	+	0.421961i	0.823280	−	0.567636i	$-0.192142\pi$
$727$	26.0771	+	11.3773i	0.967145	+	0.421961i	0.143866	+	0.989597i	$0.454047\pi$
$728$	−2.06376	+	1.29675i	−0.0764880	+	0.0480606i
$729$	−25.2736	−	9.49969i	−0.936060	−	0.351840i
$730$	12.5390	+	9.99954i	0.464090	+	0.370100i
$731$	−7.49509	+	1.12970i	−0.277216	+	0.0417836i
$732$	−19.6690	−	6.55572i	−0.726988	−	0.242306i
$733$	6.80966	−	7.91297i	0.251520	−	0.292272i	−0.617991	−	0.786185i	$-0.712053\pi$
$733$	6.80966	−	7.91297i	0.251520	−	0.292272i	0.869511	+	0.493913i	$0.164434\pi$
$734$	2.64085	+	35.2397i	0.0974756	+	1.30072i
$735$	3.22482	+	7.87038i	0.118949	+	0.290303i
$736$	3.36668	+	3.91216i	0.124098	+	0.144204i
$737$	20.1951	−	20.1951i	0.743896	−	0.743896i
$738$	−0.973714	−	3.74835i	−0.0358429	−	0.137979i
$739$	−16.3193	−	1.83874i	−0.600315	−	0.0676393i	−0.193423	−	0.981115i	$-0.561959\pi$
$739$	−16.3193	−	1.83874i	−0.600315	−	0.0676393i	−0.406892	+	0.913476i	$0.633388\pi$
$740$	5.38820	−	7.30075i	0.198074	−	0.268381i
$741$	3.21703	−	3.85273i	0.118181	−	0.141534i
$742$	−1.90563	−	0.510612i	−0.0699579	−	0.0187452i
$743$	11.6089	−	2.19653i	0.425891	−	0.0805829i	0.0314525	−	0.999505i	$-0.489987\pi$
$743$	11.6089	−	2.19653i	0.425891	−	0.0805829i	0.394439	+	0.918922i	$0.370939\pi$
$744$	1.24235	−	9.16568i	0.0455468	−	0.336030i
$745$	−32.3465	+	22.0535i	−1.18508	+	0.807977i
$746$	7.64989	+	21.8621i	0.280082	+	0.800429i
$747$	30.5217	+	42.0242i	1.11673	+	1.53758i
$748$	−1.45151	−	1.82013i	−0.0530723	−	0.0665506i
$749$	5.55895	−	2.18173i	0.203120	−	0.0797185i
$750$	1.82639	−	4.36205i	0.0666903	−	0.159280i
$751$	−28.6265	−	15.1296i	−1.04460	−	0.552086i	−0.145284	−	0.989390i	$-0.546410\pi$
$751$	−28.6265	−	15.1296i	−1.04460	−	0.552086i	−0.899314	+	0.437304i	$0.855933\pi$
$752$	−2.21441	+	1.63431i	−0.0807512	+	0.0595971i
$753$	0.134455	−	1.37718i	0.00489982	−	0.0501871i
$754$	4.45015	+	0.403549i	0.162065	+	0.0146964i
$755$			54.4745i			1.98253i
$756$	−15.0172	−	2.72908i	−0.546171	−	0.0992558i
$757$	10.7474	+	17.1043i	0.390619	+	0.621667i	0.982916	−	0.184053i	$-0.0589217\pi$
$757$	10.7474	+	17.1043i	0.390619	+	0.621667i	−0.592297	+	0.805720i	$0.701779\pi$
$758$	−3.46889	−	1.07001i	−0.125996	−	0.0388645i
$759$	14.1603	−	14.5880i	0.513987	−	0.529512i
$760$	−9.80412	−	3.84783i	−0.355633	−	0.139576i
$761$	4.73404	+	15.3474i	0.171609	+	0.556342i	0.999993	−	0.00381853i	$-0.00121548\pi$
$761$	4.73404	+	15.3474i	0.171609	+	0.556342i	−0.828384	+	0.560161i	$0.810739\pi$
$762$	−18.2076	−	5.32099i	−0.659593	−	0.192759i
$763$	17.4872	+	25.6490i	0.633078	+	0.928555i
$764$	9.79161	+	6.15248i	0.354248	+	0.222589i
$765$	−9.26123	−	0.0708106i	−0.334840	−	0.00256016i
$766$	17.9872	+	17.9872i	0.649905	+	0.649905i
$767$	0.793987	−	10.5950i	0.0286692	−	0.382564i
$768$	−1.64732	+	0.535097i	−0.0594426	+	0.0193086i
$769$	−9.92679	+	4.33102i	−0.357969	+	0.156180i	−0.571178	−	0.820826i	$-0.693513\pi$
$769$	−9.92679	+	4.33102i	−0.357969	+	0.156180i	0.213209	+	0.977007i	$0.431609\pi$
$770$	11.3484	−	16.6450i	0.408968	−	0.599845i
$771$	48.7294	+	18.2931i	1.75495	+	0.658808i
$772$	14.7267	−	12.6734i	0.530027	−	0.456125i
$773$	−12.0667	+	19.2041i	−0.434011	+	0.690724i	−0.990095	−	0.140402i	$-0.955160\pi$
$773$	−12.0667	+	19.2041i	−0.434011	+	0.690724i	0.556084	+	0.831126i	$0.312303\pi$
$774$	22.0538	+	2.65577i	0.792706	+	0.0954597i
$775$	20.6392	−	7.22198i	0.741383	−	0.259421i
$776$	−4.33348	−	4.02088i	−0.155563	−	0.144341i
$777$	0.799894	+	15.2871i	0.0286960	+	0.548423i
$778$	−4.73344	−	0.713451i	−0.169702	−	0.0255785i
$779$	3.06650	+	3.30490i	0.109869	+	0.118410i
$780$	3.87656	−	1.93842i	0.138803	−	0.0694064i
$781$	−0.784483	+	1.79805i	−0.0280710	+	0.0643394i
$782$	−5.28360			−0.188941
$783$	18.8596	+	20.6716i	0.673988	+	0.738742i
$784$	−1.62833			−0.0581547
$785$	15.4518	−	35.4159i	0.551499	−	1.26405i
$786$	28.4732	−	14.2376i	1.01561	−	0.507839i
$787$	32.1300	+	34.6279i	1.14531	+	1.23435i	0.968205	+	0.250159i	$0.0804829\pi$
$787$	32.1300	+	34.6279i	1.14531	+	1.23435i	0.177105	+	0.984192i	$0.443327\pi$
$788$	−3.65401	−	0.550753i	−0.130169	−	0.0196198i
$789$	1.15853	+	22.1411i	0.0412447	+	0.788245i
$790$	17.8070	+	16.5225i	0.633544	+	0.587843i
$791$	53.3957	−	18.6840i	1.89853	−	0.664326i
$792$	2.68037	+	6.27393i	0.0952430	+	0.222934i
$793$	−5.28431	+	8.40993i	−0.187651	+	0.298645i
$794$	24.9666	−	21.4855i	0.886031	−	0.762492i
$795$	3.28441	+	1.23297i	0.116486	+	0.0437289i
$796$	−1.99986	+	2.93326i	−0.0708832	+	0.103967i
$797$	−21.7776	+	9.50147i	−0.771402	+	0.336559i	−0.748462	−	0.663178i	$-0.769207\pi$
$797$	−21.7776	+	9.50147i	−0.771402	+	0.336559i	−0.0229399	+	0.999737i	$0.507303\pi$
$798$	16.8992	−	5.48934i	0.598226	−	0.194321i
$799$	0.210543	−	2.80951i	0.00744849	−	0.0993932i
$800$	−2.89536	−	2.89536i	−0.102366	−	0.102366i
$801$	4.83707	−	8.23206i	0.170910	−	0.290865i
$802$	32.5925	+	20.4792i	1.15088	+	0.723146i
$803$	6.81295	+	9.99277i	0.240424	+	0.352637i
$804$	20.8787	+	6.10159i	0.736335	+	0.215186i
$805$	−13.4766	−	43.6901i	−0.474989	−	1.53988i
$806$	−4.12479	−	1.61886i	−0.145290	−	0.0570219i
$807$	−20.4028	+	21.0191i	−0.718214	+	0.739908i
$808$	7.56842	+	2.33455i	0.266256	+	0.0821292i
$809$	8.71735	+	13.8736i	0.306486	+	0.487769i	0.964083	−	0.265600i	$-0.0855701\pi$
$809$	8.71735	+	13.8736i	0.306486	+	0.487769i	−0.657598	+	0.753369i	$0.728427\pi$
$810$	26.1063	+	7.42482i	0.917282	+	0.260882i
$811$			11.3660i			0.399115i	0.979886	+	0.199558i	$0.0639505\pi$
$811$			11.3660i			0.399115i	−0.979886	+	0.199558i	$0.936050\pi$
$812$	12.5790	+	9.59112i	0.441437	+	0.336582i
$813$	0.323377	−	3.31224i	0.0113413	−	0.116165i
$814$	5.50550	−	4.06325i	0.192968	−	0.142417i
$815$	35.8234	+	18.9332i	1.25484	+	0.663203i
$816$	0.684784	−	1.63550i	0.0239722	−	0.0572541i
$817$	−24.0715	+	9.44737i	−0.842155	+	0.330522i
$818$	8.38556	+	10.5152i	0.293194	+	0.367654i
$819$	−2.97518	+	6.67938i	−0.103961	+	0.233397i
$820$	1.28580	+	3.67461i	0.0449021	+	0.128323i
$821$	−11.6905	+	7.97047i	−0.408002	+	0.278171i	−0.749881	−	0.661573i	$-0.769889\pi$
$821$	−11.6905	+	7.97047i	−0.408002	+	0.278171i	0.341878	+	0.939744i	$0.388937\pi$
$822$	3.83168	−	28.2690i	0.133645	−	0.985994i
$823$	13.6419	−	2.58119i	0.475528	−	0.0899747i	0.0573774	−	0.998353i	$-0.481726\pi$
$823$	13.6419	−	2.58119i	0.475528	−	0.0899747i	0.418150	+	0.908378i	$0.362679\pi$
$824$	−14.3142	−	3.83547i	−0.498657	−	0.133615i
$825$	−10.3375	+	12.3803i	−0.359907	+	0.431026i
$826$	22.3348	−	30.2626i	0.777128	−	1.05297i
$827$	−13.7166	−	1.54549i	−0.476973	−	0.0537419i	−0.129794	−	0.991541i	$-0.541432\pi$
$827$	−13.7166	−	1.54549i	−0.476973	−	0.0537419i	−0.347179	+	0.937799i	$0.612860\pi$
$828$	14.9254	+	4.12180i	0.518692	+	0.143242i
$829$	−29.8535	+	29.8535i	−1.03685	+	1.03685i	−0.0375593	+	0.999294i	$0.511958\pi$
$829$	−29.8535	+	29.8535i	−1.03685	+	1.03685i	−0.999294	+	0.0375593i	$0.988042\pi$
$830$	−34.0565	−	39.5744i	−1.18212	−	1.37365i
$831$	−3.09063	−	7.54287i	−0.107213	−	0.261659i
$832$	0.0620082	+	0.827442i	0.00214975	+	0.0286864i
$833$	1.08730	−	1.26346i	0.0376726	−	0.0437764i
$834$	25.3172	+	8.43826i	0.876662	+	0.292193i
$835$	−30.0857	+	4.53469i	−1.04116	+	0.156929i
$836$	−6.20955	−	4.95195i	−0.214762	−	0.171267i
$837$	−12.2201	−	24.9128i	−0.422388	−	0.861113i
$838$	0.984115	−	0.618360i	0.0339957	−	0.0213609i
$839$	−1.81922	−	0.793719i	−0.0628065	−	0.0274022i	0.368254	−	0.929725i	$-0.379956\pi$
$839$	−1.81922	−	0.793719i	−0.0628065	−	0.0274022i	−0.431061	+	0.902323i	$0.641860\pi$
$840$	15.2706	+	1.49089i	0.526887	+	0.0514406i
$841$	−7.67732	−	27.9653i	−0.264735	−	0.964321i
$842$	−3.07746	+	1.77677i	−0.106056	+	0.0612317i
$843$	44.0007	+	24.5384i	1.51546	+	0.845147i
$844$	0.547098	−	0.0204710i	0.0188319	−	0.000704640i
$845$	8.26180	+	36.1973i	0.284215	+	1.24523i
$846$	−2.78648	+	7.77218i	−0.0958012	+	0.267213i
$847$	−13.3847	+	10.6739i	−0.459903	+	0.366761i
$848$	−0.456826	+	0.492341i	−0.0156875	+	0.0169071i
$849$	30.7148	+	32.1305i	1.05413	+	1.10272i
$850$	4.17992	−	0.313242i	0.143370	−	0.0107441i
$851$	0.580668	−	15.5187i	0.0199051	−	0.531974i
$852$	−1.48809	+	0.133807i	−0.0509813	+	0.00458414i
$853$	−27.1716	+	7.28061i	−0.930338	+	0.249283i	−0.691999	−	0.721899i	$-0.743270\pi$
$853$	−27.1716	+	7.28061i	−0.930338	+	0.249283i	−0.238339	+	0.971182i	$0.576603\pi$
$854$	−31.6789	+	15.2558i	−1.08403	+	0.522041i
$855$	−30.8572	+	6.79516i	−1.05529	+	0.232389i
$856$	0.227624	−	2.02022i	0.00778004	−	0.0690498i
$857$	−10.5452	−	0.790255i	−0.360218	−	0.0269946i	−0.106608	−	0.994301i	$-0.533999\pi$
$857$	−10.5452	−	0.790255i	−0.360218	−	0.0269946i	−0.253610	+	0.967307i	$0.581618\pi$
$858$	3.22430	−	0.535157i	0.110076	−	0.0182700i
$859$	−8.60512	−	45.4791i	−0.293603	−	1.55173i	−0.749687	−	0.661792i	$-0.769796\pi$
$859$	−8.60512	−	45.4791i	−0.293603	−	1.55173i	0.456085	−	0.889936i	$-0.349251\pi$
$860$	−22.3140	−	0.834930i	−0.760901	−	0.0284709i
$861$	−5.61253	−	3.41119i	−0.191274	−	0.116253i
$862$	−0.547383	+	2.89299i	−0.0186439	+	0.0985356i
$863$	−8.21401	+	35.9879i	−0.279608	+	1.22504i	0.618683	+	0.785641i	$0.287667\pi$
$863$	−8.21401	+	35.9879i	−0.279608	+	1.22504i	−0.898291	+	0.439402i	$0.855190\pi$
$864$	−3.21029	+	4.08584i	−0.109216	+	0.139003i
$865$	17.8058	−	22.3277i	0.605414	−	0.759165i
$866$	8.22478	−	26.6641i	0.279489	−	0.906082i
$867$	−12.3571	−	24.7125i	−0.419670	−	0.839280i
$868$	−9.31485	−	12.6212i	−0.316167	−	0.428391i
$869$	9.15914	+	15.8641i	0.310703	+	0.538153i
$870$	−20.6054	−	19.1481i	−0.698590	−	0.649183i
$871$	5.21029	−	9.02449i	0.176544	−	0.305783i
$872$	10.5018	−	1.18326i	0.355634	−	0.0400704i
$873$	−17.5159	−	2.77722i	−0.592822	−	0.0939946i
$874$	−17.5736	+	4.01105i	−0.594435	+	0.135676i
$875$	−2.93000	−	7.46553i	−0.0990522	−	0.252381i
$876$	−4.18250	+	8.20693i	−0.141313	+	0.277287i
$877$	10.7328	−	3.31064i	0.362422	−	0.111793i	−0.108195	−	0.994130i	$-0.534507\pi$
$877$	10.7328	−	3.31064i	0.362422	−	0.111793i	0.470618	+	0.882337i	$0.344031\pi$
$878$	25.5453	+	21.9835i	0.862112	+	0.741907i
$879$	31.0231	+	0.698847i	1.04638	+	0.0235715i
$880$	−3.20466	−	6.06352i	−0.108029	−	0.204401i
$881$	−33.6521	−	11.7754i	−1.13377	−	0.396723i	−0.302807	−	0.953052i	$-0.597924\pi$
$881$	−33.6521	−	11.7754i	−1.13377	−	0.396723i	−0.830962	+	0.556329i	$0.812209\pi$
$882$	−4.05709	+	2.72087i	−0.136609	+	0.0916166i
$883$	22.9390	+	47.6334i	0.771959	+	1.60299i	0.797502	+	0.603317i	$0.206154\pi$
$883$	22.9390	+	47.6334i	0.771959	+	1.60299i	−0.0255423	+	0.999674i	$0.508131\pi$
$884$	−0.683438	−	0.504400i	−0.0229865	−	0.0169648i
$885$	−44.7578	+	49.7003i	−1.50452	+	1.67066i
$886$	−1.80426	−	1.23013i	−0.0606154	−	0.0413269i
$887$	11.2857	−	42.1187i	0.378936	−	1.41421i	−0.468572	−	0.883425i	$-0.655231\pi$
$887$	11.2857	−	42.1187i	0.378936	−	1.41421i	0.847508	−	0.530783i	$-0.178102\pi$
$888$	4.72845	+	2.19105i	0.158676	+	0.0735269i
$889$	−28.4420	+	15.0321i	−0.953916	+	0.504159i
$890$	−4.16444	+	8.64756i	−0.139593	+	0.289867i
$891$	17.1618	+	11.1531i	0.574942	+	0.373643i
$892$	19.3227	+	4.41028i	0.646972	+	0.147667i
$893$	−1.43256	−	9.50442i	−0.0479388	−	0.318053i
$894$	−16.1339	−	15.6609i	−0.539600	−	0.523778i
$895$	−28.3221	+	26.2791i	−0.946705	+	0.878414i
$896$	−1.37256	+	2.59700i	−0.0458539	+	0.0867598i
$897$	3.61294	−	6.47850i	0.120633	−	0.216311i
$898$	2.20104	+	1.27077i	0.0734497	+	0.0424062i
$899$	−0.449612	+	28.7543i	−0.0149954	+	0.959011i
$900$	−12.0520	−	2.37595i	−0.401733	−	0.0791983i
$901$	−0.0769802	−	0.683218i	−0.00256458	−	0.0227613i
$902$	0.109772	+	2.93371i	0.00365500	+	0.0976820i
$903$	29.9742	−	22.8185i	0.997478	−	0.759351i
$904$	2.87035	−	19.0435i	0.0954663	−	0.633378i
$905$	2.22810	−	5.67711i	0.0740645	−	0.188713i
$906$	−30.6514	+	6.27325i	−1.01832	+	0.208415i
$907$	17.9342	+	3.39333i	0.595495	+	0.112674i	0.474918	−	0.880030i	$-0.342478\pi$
$907$	17.9342	+	3.39333i	0.595495	+	0.112674i	0.120577	+	0.992704i	$0.461525\pi$
$908$	−17.7075	−	8.52746i	−0.587643	−	0.282994i
$909$	22.7582	−	6.82985i	0.754840	−	0.226532i
$910$	2.42768	−	6.93791i	0.0804768	−	0.229989i
$911$	−0.0806209	−	0.300881i	−0.00267109	−	0.00996865i	0.964577	−	0.263800i	$-0.0849759\pi$
$911$	−0.0806209	−	0.300881i	−0.00267109	−	0.00996865i	−0.967249	+	0.253831i	$0.918309\pi$
$912$	1.03604	−	5.95964i	0.0343067	−	0.197343i
$913$	−15.7447	−	36.0871i	−0.521072	−	1.19431i
$914$	−7.36884	−	16.8896i	−0.243740	−	0.558657i
$915$	58.7022	−	21.5262i	1.94063	−	0.711635i
$916$	0.0221945	+	0.0828312i	0.000733328	+	0.00273682i
$917$	17.8312	−	50.9588i	0.588840	−	1.68281i
$918$	−1.02667	−	5.21921i	−0.0338853	−	0.172260i
$919$	−31.3077	−	15.0770i	−1.03274	−	0.497344i	−0.160820	−	0.986984i	$-0.551414\pi$
$919$	−31.3077	−	15.0770i	−1.03274	−	0.497344i	−0.871925	+	0.489640i	$0.837128\pi$
$920$	−15.2939	−	2.89376i	−0.504225	−	0.0954045i
$921$	−16.3692	+	49.1122i	−0.539383	+	1.61830i
$922$	−8.61010	+	21.9382i	−0.283559	+	0.722496i
$923$	−0.106680	+	0.707773i	−0.00351140	+	0.0232966i
$924$	10.6726	+	4.46861i	0.351103	+	0.147007i
$925$	0.460662	+	12.3115i	0.0151465	+	0.404798i
$926$	−3.11702	−	27.6643i	−0.102432	−	0.909106i
$927$	−42.0735	+	14.3621i	−1.38188	+	0.471712i
$928$	4.88780	−	2.26039i	0.160450	−	0.0742011i
$929$	−19.2808	−	11.1318i	−0.632582	−	0.365222i	0.149169	−	0.988812i	$-0.452340\pi$
$929$	−19.2808	−	11.1318i	−0.632582	−	0.365222i	−0.781751	+	0.623590i	$0.785673\pi$
$930$	14.3048	+	23.9468i	0.469074	+	0.785246i
$931$	2.65726	−	5.02778i	0.0870881	−	0.164779i
$932$	1.78829	−	1.65929i	0.0585774	−	0.0543519i
$933$	3.45582	−	13.7100i	0.113139	−	0.448845i
$934$	2.64210	+	17.5292i	0.0864520	+	0.573572i
$935$	6.84471	+	1.56226i	0.223846	+	0.0510914i
$936$	1.53712	+	1.95801i	0.0502423	+	0.0639996i
$937$	−10.9943	+	22.8299i	−0.359169	+	0.745822i	−0.999757	−	0.0220633i	$-0.992976\pi$
$937$	−10.9943	+	22.8299i	−0.359169	+	0.745822i	0.640588	+	0.767885i	$0.278691\pi$
$938$	32.6145	−	17.2373i	1.06490	−	0.562817i
$939$	4.63274	−	3.26055i	0.151184	−	0.106404i
$940$	2.14817	−	8.01708i	0.0700656	−	0.261488i
$941$	−13.4138	−	9.14537i	−0.437277	−	0.298131i	0.324601	−	0.945851i	$-0.394770\pi$
$941$	−13.4138	−	9.14537i	−0.437277	−	0.298131i	−0.761878	+	0.647721i	$0.775722\pi$
$942$	21.7070	+	4.61585i	0.707254	+	0.150393i
$943$	5.36094	+	3.95656i	0.174576	+	0.128843i
$944$	−5.55568	−	11.5365i	−0.180822	−	0.375481i
$945$	40.5390	−	21.8020i	1.31873	−	0.709218i
$946$	−15.8938	−	5.56149i	−0.516753	−	0.180820i
$947$	7.14982	+	13.5281i	0.232338	+	0.439605i	0.972526	−	0.232796i	$-0.0747873\pi$
$947$	7.14982	+	13.5281i	0.232338	+	0.439605i	−0.740188	+	0.672400i	$0.765263\pi$
$948$	−7.24612	+	11.9222i	−0.235343	+	0.387217i
$949$	3.34475	+	2.87839i	0.108575	+	0.0934366i
$950$	13.6649	−	4.21506i	0.443347	−	0.136755i
$951$	20.2140	−	1.05769i	0.655484	−	0.0342980i
$952$	−1.09857	−	2.79912i	−0.0356049	−	0.0907199i
$953$	1.05847	−	0.241589i	0.0342872	−	0.00782582i	−0.205343	−	0.978690i	$-0.565831\pi$
$953$	1.05847	−	0.241589i	0.0342872	−	0.00782582i	0.239630	+	0.970864i	$0.422974\pi$
$954$	−0.315529	+	1.99004i	−0.0102156	+	0.0644299i
$955$	−34.6550	+	3.90468i	−1.12141	+	0.126353i
$956$	−11.4647	+	19.8575i	−0.370796	+	0.642237i
$957$	−10.5921	−	18.3782i	−0.342393	−	0.594082i
$958$	−12.1037	−	20.9642i	−0.391053	−	0.677323i
$959$	−28.7290	−	38.9265i	−0.927709	−	1.25700i
$960$	2.87792	−	4.35908i	0.0928845	−	0.140689i
$961$	−0.731661	+	2.37199i	−0.0236020	+	0.0765157i
$962$	1.55661	−	1.95192i	0.0501870	−	0.0629325i
$963$	−2.80857	−	5.41386i	−0.0905048	−	0.174459i
$964$	3.67008	−	16.0797i	0.118205	−	0.517891i
$965$	−10.8932	+	57.5717i	−0.350663	+	1.85330i
$966$	23.0314	−	12.6143i	0.741022	−	0.405858i
$967$	−11.9765	−	0.448127i	−0.385137	−	0.0144108i	−0.155878	−	0.987776i	$-0.549821\pi$
$967$	−11.9765	−	0.448127i	−0.385137	−	0.0144108i	−0.229259	+	0.973366i	$0.573630\pi$
$968$	1.08352	+	5.72656i	0.0348257	+	0.184058i
$969$	3.93243	+	4.78336i	0.126328	+	0.153664i
$970$	17.7778	+	1.33226i	0.570812	+	0.0427764i
$971$	−6.08266	+	53.9851i	−0.195202	+	1.73247i	0.389333	+	0.921097i	$0.372706\pi$
$971$	−6.08266	+	53.9851i	−0.195202	+	1.73247i	−0.584535	+	0.811368i	$0.698723\pi$
$972$	−1.17137	+	15.5444i	−0.0375717	+	0.498586i
$973$	40.7758	−	19.6366i	1.30721	−	0.629520i
$974$	−29.3261	+	7.85791i	−0.939670	+	0.251784i
$975$	−2.47416	+	5.33942i	−0.0792366	+	0.170998i
$976$	−0.447575	+	11.9617i	−0.0143265	+	0.382885i
$977$	−51.9526	+	3.89331i	−1.66211	+	0.124558i	−0.872358	−	0.488868i	$-0.837410\pi$
$977$	−51.9526	+	3.89331i	−1.66211	+	0.124558i	−0.789752	+	0.613426i	$0.789791\pi$
$978$	−6.52784	+	22.3373i	−0.208737	+	0.714267i
$979$	−4.92303	+	5.30576i	−0.157341	+	0.169573i
$980$	3.83927	−	3.06172i	0.122641	−	0.0978030i
$981$	24.1886	−	20.4962i	0.772283	−	0.654393i
$982$	7.95289	+	34.8439i	0.253787	+	1.11191i
$983$	−0.159290	+	0.00596021i	−0.00508056	+	0.000190101i	−0.0399314	−	0.999202i	$-0.512714\pi$
$983$	−0.159290	+	0.00596021i	−0.00508056	+	0.000190101i	0.0348508	+	0.999393i	$0.488904\pi$
$984$	−1.91953	+	1.14665i	−0.0611925	+	0.0365539i
$985$	9.65098	−	5.57199i	0.307506	−	0.177539i
$986$	−1.50987	+	5.30192i	−0.0480842	+	0.168848i
$987$	5.78977	+	12.7494i	0.184290	+	0.405817i
$988$	−2.65607	−	1.15883i	−0.0845010	−	0.0368674i
$989$	−32.3588	+	20.3324i	−1.02895	+	0.646533i
$990$	−18.1165	−	9.75278i	−0.575781	−	0.309964i
$991$	9.32169	+	7.43380i	0.296113	+	0.236143i	0.760265	−	0.649613i	$-0.225069\pi$
$991$	9.32169	+	7.43380i	0.296113	+	0.236143i	−0.464151	+	0.885756i	$0.653641\pi$
$992$	−5.28055	+	0.795915i	−0.167658	+	0.0252703i
$993$	−7.54125	+	6.68760i	−0.239314	+	0.212224i
$994$	−1.65280	+	1.92059i	−0.0524237	+	0.0609174i
$995$	−0.800080	−	10.6763i	−0.0253643	−	0.338462i
$996$	18.3456	−	23.7201i	0.581301	−	0.751600i
$997$	5.37813	+	6.24950i	0.170327	+	0.197924i	0.836647	−	0.547742i	$-0.184513\pi$
$997$	5.37813	+	6.24950i	0.170327	+	0.197924i	−0.666320	+	0.745666i	$0.732132\pi$
$998$	−17.8577	+	17.8577i	−0.565274	+	0.565274i
$999$	15.4424	−	2.44190i	0.488576	−	0.0772582i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	522.2.x.a.101.13	✓	720
9.5	odd	6	inner	522.2.x.a.275.18	yes	720
29.27	odd	28	inner	522.2.x.a.317.18	yes	720
261.230	even	84	inner	522.2.x.a.491.13	yes	720

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
522.2.x.a.101.13	✓	720	1.1	even	1	trivial
522.2.x.a.275.18	yes	720	9.5	odd	6	inner
522.2.x.a.317.18	yes	720	29.27	odd	28	inner
522.2.x.a.491.13	yes	720	261.230	even	84	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:	\( N \)	\(=\)	\( 522 = 2 \cdot 3^{2} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	522.x (of order \(84\), degree \(24\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.399892 + 0.916562i) q^{2} +(1.54917 - 0.774641i) q^{3} +(-0.680173 - 0.733052i) q^{4} +(2.98205 + 0.449472i) q^{5} +(0.0905052 + 1.72968i) q^{6} +(2.15327 + 1.99794i) q^{7} +(0.943883 - 0.330279i) q^{8} +(1.79986 - 2.40010i) q^{9} +(-1.60447 + 2.55350i) q^{10} +(-1.72375 + 1.48341i) q^{11} +(-1.62156 - 0.608733i) q^{12} +(-0.467422 + 0.685582i) q^{13} +(-2.69231 + 1.17464i) q^{14} +(4.96789 - 1.61371i) q^{15} +(-0.0747301 + 0.997204i) q^{16} +(-0.723855 - 0.723855i) q^{17} +(1.48009 + 2.60947i) q^{18} +(-2.95710 - 1.85807i) q^{19} +(-1.69882 - 2.49172i) q^{20} +(4.88347 + 1.42714i) q^{21} +(-0.670323 - 2.17313i) q^{22} +(-4.80456 - 1.88565i) q^{23} +(1.20639 - 1.24283i) q^{24} +(3.91274 + 1.20692i) q^{25} +(-0.441460 - 0.702580i) q^{26} +(0.929080 - 5.11242i) q^{27} -2.93740i q^{28} +(-3.26517 + 4.28237i) q^{29} +(-0.507554 + 5.19869i) q^{30} +(4.29671 - 3.17112i) q^{31} +(-0.884115 - 0.467269i) q^{32} +(-1.52128 + 3.63335i) q^{33} +(0.952923 - 0.373995i) q^{34} +(5.52314 + 6.92580i) q^{35} +(-2.98362 + 0.313091i) q^{36} +(0.993749 + 2.83997i) q^{37} +(2.88556 - 1.96734i) q^{38} +(-0.193037 + 1.42417i) q^{39} +(2.96316 - 0.560660i) q^{40} +(-1.24693 - 0.334115i) q^{41} +(-3.26093 + 3.90530i) q^{42} +(4.39686 - 5.95754i) q^{43} +(2.25987 + 0.254626i) q^{44} +(6.44606 - 6.34824i) q^{45} +(3.64962 - 3.64962i) q^{46} +(1.79522 + 2.08609i) q^{47} +(0.656705 + 1.60273i) q^{48} +(0.121685 + 1.62378i) q^{49} +(-2.67089 + 3.10363i) q^{50} +(-1.68210 - 0.560648i) q^{51} +(0.820494 - 0.123670i) q^{52} +(0.525103 + 0.418756i) q^{53} +(4.31432 + 2.89597i) q^{54} +(-5.80708 + 3.64883i) q^{55} +(2.69231 + 1.17464i) q^{56} +(-6.02040 - 0.587778i) q^{57} +(-2.61934 - 4.70522i) q^{58} +(-11.0891 + 6.40227i) q^{59} +(-4.56195 - 2.54412i) q^{60} +(11.9617 - 0.447575i) q^{61} +(1.18831 + 5.20631i) q^{62} +(8.67085 - 1.57204i) q^{63} +(0.781831 - 0.623490i) q^{64} +(-1.70203 + 1.83435i) q^{65} +(-2.72184 - 2.84730i) q^{66} +(-12.5234 + 0.938500i) q^{67} +(-0.0382769 + 1.02297i) q^{68} +(-8.90380 + 0.800612i) q^{69} +(-8.55658 + 2.29273i) q^{70} +(0.777192 - 0.374276i) q^{71} +(0.906158 - 2.85987i) q^{72} +(0.595440 - 5.28467i) q^{73} +(-3.00040 - 0.224849i) q^{74} +(6.99644 - 1.16124i) q^{75} +(0.649279 + 3.43152i) q^{76} +(-6.67547 - 0.249779i) q^{77} +(-1.22814 - 0.746443i) q^{78} +(1.49751 - 7.91452i) q^{79} +(-0.671064 + 2.94012i) q^{80} +(-2.52098 - 8.63971i) q^{81} +(0.804875 - 1.00928i) q^{82} +(-5.10305 + 16.5437i) q^{83} +(-2.27543 - 4.55054i) q^{84} +(-1.83322 - 2.48393i) q^{85} +(3.70218 + 6.41237i) q^{86} +(-1.74101 + 9.16345i) q^{87} +(-1.13708 + 1.96949i) q^{88} +(3.16265 - 0.356345i) q^{89} +(3.24083 + 8.44683i) q^{90} +(-2.37624 + 0.542360i) q^{91} +(1.88565 + 4.80456i) q^{92} +(4.19987 - 8.24101i) q^{93} +(-2.62992 + 0.811224i) q^{94} +(-7.98308 - 6.87000i) q^{95} +(-1.73161 - 0.0390074i) q^{96} +(-2.76228 - 5.22650i) q^{97} +(-1.53695 - 0.537804i) q^{98} +(0.457814 + 6.80712i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 720 q + 24 q^{11} - 12 q^{14} - 20 q^{15} - 60 q^{16} + 84 q^{21} + 20 q^{24} + 60 q^{25} - 144 q^{27} - 12 q^{29} + 72 q^{30} + 84 q^{33} - 40 q^{36} + 40 q^{39} - 12 q^{41} - 104 q^{45} + 24 q^{46} - 24 q^{47}+ \cdots - 84 q^{99}+O(q^{100}) \) 720 * q + 24 * q^11 - 12 * q^14 - 20 * q^15 - 60 * q^16 + 84 * q^21 + 20 * q^24 + 60 * q^25 - 144 * q^27 - 12 * q^29 + 72 * q^30 + 84 * q^33 - 40 * q^36 + 40 * q^39 - 12 * q^41 - 104 * q^45 + 24 * q^46 - 24 * q^47 + 60 * q^49 + 16 * q^54 - 144 * q^55 + 12 * q^56 + 12 * q^58 + 120 * q^59 - 16 * q^60 - 12 * q^61 + 36 * q^65 - 48 * q^66 - 36 * q^68 + 52 * q^69 - 180 * q^74 - 184 * q^75 - 132 * q^77 - 68 * q^78 + 12 * q^79 - 216 * q^81 + 96 * q^82 - 432 * q^83 - 80 * q^84 - 48 * q^85 - 200 * q^87 - 112 * q^90 - 252 * q^92 - 112 * q^93 + 192 * q^95 + 24 * q^97 - 84 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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