LMFDB - Embedded newform 560.2.ch.c.493.37

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [560,2,Mod(117,560)] 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("560.117"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(560, base_ring=CyclotomicField(12)) chi = DirichletCharacter(H, H._module([0, 3, 3, 10])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 560 = 2^{4} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	560.ch (of order $12$, degree $4$, minimal)

Newform invariants

comment:select newform

sage:traces = [360,2,0] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(3)] == traces)

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

Self dual:	no
Analytic conductor:	$4.47162251319$
Analytic rank:	$0$
Dimension:	$360$
Relative dimension:	$90$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			493.37
Character	$\chi$	$=$	560.493
Dual form			560.2.ch.c.117.37

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.481883 + 1.32958i) q^{2} +(-0.398026 + 0.689402i) q^{3} +(-1.53558 - 1.28141i) q^{4} +(-1.88876 + 1.19691i) q^{5} +(-0.724815 - 0.861420i) q^{6} +(2.38682 + 1.14153i) q^{7} +(2.44370 - 1.42419i) q^{8} +(1.18315 + 2.04928i) q^{9} +(-0.681232 - 3.08803i) q^{10} +(0.290585 + 1.08448i) q^{11} +(1.49460 - 0.548597i) q^{12} -6.68057 q^{13} +(-2.66792 + 2.62339i) q^{14} +(-0.0733779 - 1.77852i) q^{15} +(0.715996 + 3.93540i) q^{16} +(-1.44315 + 0.386691i) q^{17} +(-3.29482 + 0.585584i) q^{18} +(-0.744366 + 2.77801i) q^{19} +(4.43406 + 0.582315i) q^{20} +(-1.73699 + 1.19112i) q^{21} +(-1.58193 - 0.136235i) q^{22} +(-0.000583934 - 0.000156465i) q^{23} +(0.00917984 + 2.25156i) q^{24} +(2.13481 - 4.52135i) q^{25} +(3.21925 - 8.88237i) q^{26} -4.27186 q^{27} +(-2.20239 - 4.81139i) q^{28} +(4.47419 - 4.47419i) q^{29} +(2.40004 + 0.759474i) q^{30} +(-9.18741 - 5.30435i) q^{31} +(-5.57746 - 0.944425i) q^{32} +(-0.863302 - 0.231321i) q^{33} +(0.181292 - 2.10513i) q^{34} +(-5.87443 + 0.700749i) q^{35} +(0.809136 - 4.66292i) q^{36} +(1.39856 - 0.807457i) q^{37} +(-3.33490 - 2.32837i) q^{38} +(2.65904 - 4.60560i) q^{39} +(-2.91093 + 5.61484i) q^{40} +6.55424 q^{41} +(-0.746670 - 2.88345i) q^{42} -10.8517 q^{43} +(0.943442 - 2.03766i) q^{44} +(-4.68748 - 2.45446i) q^{45} +(0.000489421 - 0.000700991i) q^{46} +(0.891149 - 3.32581i) q^{47} +(-2.99806 - 1.07278i) q^{48} +(4.39384 + 5.44924i) q^{49} +(4.98278 + 5.01716i) q^{50} +(0.307827 - 1.14882i) q^{51} +(10.2585 + 8.56052i) q^{52} +(-5.12408 + 8.87517i) q^{53} +(2.05854 - 5.67979i) q^{54} +(-1.84687 - 1.70051i) q^{55} +(7.45843 - 0.609734i) q^{56} +(-1.61889 - 1.61889i) q^{57} +(3.79277 + 8.10485i) q^{58} +(-0.129224 - 0.482271i) q^{59} +(-2.16632 + 2.82508i) q^{60} +(3.79365 + 1.01650i) q^{61} +(11.4798 - 9.65934i) q^{62} +(0.484667 + 6.24185i) q^{63} +(3.94337 - 6.96059i) q^{64} +(12.6180 - 7.99605i) q^{65} +(0.723571 - 1.03636i) q^{66} +(-2.17911 + 3.77433i) q^{67} +(2.71158 + 1.25547i) q^{68} +(0.000340288 - 0.000340288i) q^{69} +(1.89909 - 8.14822i) q^{70} +5.39800i q^{71} +(5.80982 + 3.32279i) q^{72} +(-12.7150 + 3.40697i) q^{73} +(0.399640 + 2.24859i) q^{74} +(2.26732 + 3.27136i) q^{75} +(4.70279 - 3.31202i) q^{76} +(-0.544385 + 2.92017i) q^{77} +(4.84217 + 5.75478i) q^{78} +(-9.43202 + 5.44558i) q^{79} +(-6.06266 - 6.57602i) q^{80} +(-1.84914 + 3.20280i) q^{81} +(-3.15838 + 8.71440i) q^{82} +8.40249 q^{83} +(4.19359 + 0.396727i) q^{84} +(2.26293 - 2.45769i) q^{85} +(5.22923 - 14.4282i) q^{86} +(1.30367 + 4.86537i) q^{87} +(2.25461 + 2.23630i) q^{88} +(-7.59633 + 4.38574i) q^{89} +(5.52222 - 5.04963i) q^{90} +(-15.9453 - 7.62604i) q^{91} +(0.000696181 + 0.000988521i) q^{92} +(7.31367 - 4.22255i) q^{93} +(3.99251 + 2.78751i) q^{94} +(-1.91911 - 6.13793i) q^{95} +(2.87107 - 3.46921i) q^{96} +(11.1142 + 11.1142i) q^{97} +(-9.36252 + 3.21607i) q^{98} +(-1.87859 + 1.87859i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 360 q + 2 q^{2} - 6 q^{5} + 8 q^{7} - 4 q^{8} - 164 q^{9} - 6 q^{10} - 2 q^{11} + 18 q^{12} + 4 q^{14} - 32 q^{15} - 20 q^{16} + 4 q^{18} + 30 q^{19} - 4 q^{21} - 16 q^{22} + 10 q^{23} + 12 q^{24} + 12 q^{25}+ \cdots - 4 q^{99}+O(q^{100}) $ 360 * q + 2 * q^2 - 6 * q^5 + 8 * q^7 - 4 * q^8 - 164 * q^9 - 6 * q^10 - 2 * q^11 + 18 * q^12 + 4 * q^14 - 32 * q^15 - 20 * q^16 + 4 * q^18 + 30 * q^19 - 4 * q^21 - 16 * q^22 + 10 * q^23 + 12 * q^24 + 12 * q^25 + 10 * q^28 - 8 * q^29 + 58 * q^30 - 24 * q^31 - 38 * q^32 - 12 * q^35 + 16 * q^36 - 24 * q^38 - 28 * q^39 - 96 * q^40 - 6 * q^42 - 24 * q^43 + 20 * q^44 + 36 * q^45 - 4 * q^46 - 6 * q^47 - 64 * q^50 + 16 * q^51 - 108 * q^52 + 32 * q^53 - 24 * q^54 - 8 * q^56 + 80 * q^57 + 2 * q^58 + 84 * q^59 + 8 * q^60 - 48 * q^61 + 58 * q^63 - 36 * q^65 - 108 * q^66 - 4 * q^67 + 84 * q^68 + 72 * q^70 + 36 * q^72 - 52 * q^74 - 54 * q^75 - 52 * q^77 + 96 * q^78 - 120 * q^80 - 124 * q^81 - 150 * q^82 + 28 * q^84 - 4 * q^85 + 8 * q^86 + 20 * q^88 + 48 * q^89 + 28 * q^91 + 84 * q^92 - 72 * q^94 - 26 * q^95 - 60 * q^96 + 26 * q^98 - 4 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/560\mathbb{Z}\right)^\times$.

$n$	$241$	$337$	$351$	$421$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{4}\right)$	$1$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−0.481883	+	1.32958i	−0.340743	+	0.940157i
$2$	−0.481883	+	1.32958i	−0.340743	+	0.940157i
$3$	−0.398026	+	0.689402i	−0.229801	+	0.398026i	−0.957749	−	0.287606i	$-0.907141\pi$
$3$	−0.398026	+	0.689402i	−0.229801	+	0.398026i	0.727948	+	0.685632i	$0.240474\pi$
$4$	−1.53558	−	1.28141i	−0.767789	−	0.640703i
$5$	−1.88876	+	1.19691i	−0.844678	+	0.535275i
$5$	−1.88876	+	1.19691i	−0.844678	+	0.535275i
$6$	−0.724815	−	0.861420i	−0.295904	−	0.351673i
$7$	2.38682	+	1.14153i	0.902134	+	0.431456i
$7$	2.38682	+	1.14153i	0.902134	+	0.431456i
$8$	2.44370	−	1.42419i	0.863980	−	0.503527i
$9$	1.18315	+	2.04928i	0.394383	+	0.683092i
$10$	−0.681232	−	3.08803i	−0.215424	−	0.976521i
$11$	0.290585	+	1.08448i	0.0876147	+	0.326983i	0.995796	−	0.0915934i	$-0.0291960\pi$
$11$	0.290585	+	1.08448i	0.0876147	+	0.326983i	−0.908182	+	0.418576i	$0.862529\pi$
$12$	1.49460	−	0.548597i	0.431455	−	0.158366i
$13$	−6.68057			−1.85286			−0.926428	−	0.376471i	$-0.877138\pi$
$13$	−6.68057			−1.85286			−0.926428	+	0.376471i	$0.877138\pi$
$14$	−2.66792	+	2.62339i	−0.713032	+	0.701132i
$15$	−0.0733779	−	1.77852i	−0.0189461	−	0.459211i
$16$	0.715996	+	3.93540i	0.178999	+	0.983849i
$17$	−1.44315	+	0.386691i	−0.350016	+	0.0937864i	−0.429543	−	0.903046i	$-0.641325\pi$
$17$	−1.44315	+	0.386691i	−0.350016	+	0.0937864i	0.0795278	+	0.996833i	$0.474659\pi$
$18$	−3.29482	+	0.585584i	−0.776597	+	0.138023i
$19$	−0.744366	+	2.77801i	−0.170769	+	0.637319i	0.826464	+	0.562989i	$0.190349\pi$
$19$	−0.744366	+	2.77801i	−0.170769	+	0.637319i	−0.997234	+	0.0743304i	$0.976318\pi$
$20$	4.43406	+	0.582315i	0.991486	+	0.130210i
$21$	−1.73699	+	1.19112i	−0.379042	+	0.259924i
$22$	−1.58193	−	0.136235i	−0.337269	−	0.0290454i
$23$	−0.000583934	0	0.000156465i	−0.000121759	0	3.26251e-5i	0.258758	−	0.965942i	$-0.416687\pi$
$23$	−0.000583934	0	0.000156465i	−0.000121759	0	3.26251e-5i	−0.258880	+	0.965910i	$0.583353\pi$
$24$	0.00917984	+	2.25156i	0.00187383	+	0.459598i
$25$	2.13481	−	4.52135i	0.426961	−	0.904270i
$26$	3.21925	−	8.88237i	0.631348	−	1.74198i
$27$	−4.27186			−0.822120
$28$	−2.20239	−	4.81139i	−0.416213	−	0.909267i
$29$	4.47419	−	4.47419i	0.830837	−	0.830837i	−0.156794	−	0.987631i	$-0.550116\pi$
$29$	4.47419	−	4.47419i	0.830837	−	0.830837i	0.987631	+	0.156794i	$0.0501159\pi$
$30$	2.40004	+	0.759474i	0.438186	+	0.138660i
$31$	−9.18741	−	5.30435i	−1.65011	−	0.952690i	−0.977025	−	0.213122i	$-0.931637\pi$
$31$	−9.18741	−	5.30435i	−1.65011	−	0.952690i	−0.673082	−	0.739568i	$-0.735030\pi$
$32$	−5.57746	−	0.944425i	−0.985965	−	0.166952i
$33$	−0.863302	−	0.231321i	−0.150282	−	0.0402679i
$34$	0.181292	−	2.10513i	0.0310914	−	0.361026i
$35$	−5.87443	+	0.700749i	−0.992960	+	0.118448i
$36$	0.809136	−	4.66292i	0.134856	−	0.777153i
$37$	1.39856	−	0.807457i	0.229921	−	0.132745i	−0.380615	−	0.924734i	$-0.624288\pi$
$37$	1.39856	−	0.807457i	0.229921	−	0.132745i	0.610536	+	0.791989i	$0.290954\pi$
$38$	−3.33490	−	2.32837i	−0.540992	−	0.377712i
$39$	2.65904	−	4.60560i	0.425788	−	0.737486i
$40$	−2.91093	+	5.61484i	−0.460259	+	0.887785i
$41$	6.55424			1.02360			0.511800	−	0.859105i	$-0.328979\pi$
$41$	6.55424			1.02360			0.511800	+	0.859105i	$0.328979\pi$
$42$	−0.746670	−	2.88345i	−0.115214	−	0.444926i
$43$	−10.8517			−1.65486			−0.827432	−	0.561566i	$-0.810199\pi$
$43$	−10.8517			−1.65486			−0.827432	+	0.561566i	$0.810199\pi$
$44$	0.943442	−	2.03766i	0.142229	−	0.307189i
$45$	−4.68748	−	2.45446i	−0.698769	−	0.365889i
$46$	0.000489421	0	0.000700991i	7.21611e−5	0	0.000103355i
$47$	0.891149	−	3.32581i	0.129987	−	0.485120i	−0.869981	−	0.493086i	$-0.835869\pi$
$47$	0.891149	−	3.32581i	0.129987	−	0.485120i	0.999968	+	0.00796577i	$0.00253561\pi$
$48$	−2.99806	−	1.07278i	−0.432732	−	0.154843i
$49$	4.39384	+	5.44924i	0.627691	+	0.778463i
$50$	4.98278	+	5.01716i	0.704671	+	0.709534i
$51$	0.307827	−	1.14882i	0.0431043	−	0.160868i
$52$	10.2585	+	8.56052i	1.42260	+	1.18713i
$53$	−5.12408	+	8.87517i	−0.703847	+	1.21910i	0.263259	+	0.964725i	$0.415203\pi$
$53$	−5.12408	+	8.87517i	−0.703847	+	1.21910i	−0.967106	+	0.254374i	$0.918131\pi$
$54$	2.05854	−	5.67979i	0.280131	−	0.772921i
$55$	−1.84687	−	1.70051i	−0.249032	−	0.229297i
$56$	7.45843	−	0.609734i	0.996675	−	0.0814791i
$57$	−1.61889	−	1.61889i	−0.214427	−	0.214427i
$58$	3.79277	+	8.10485i	0.498015	+	1.06422i
$59$	−0.129224	−	0.482271i	−0.0168236	−	0.0627864i	0.957004	−	0.290076i	$-0.0936804\pi$
$59$	−0.129224	−	0.482271i	−0.0168236	−	0.0627864i	−0.973827	+	0.227289i	$0.927014\pi$
$60$	−2.16632	+	2.82508i	−0.279671	+	0.364716i
$61$	3.79365	+	1.01650i	0.485727	+	0.130150i	0.493368	−	0.869821i	$-0.335766\pi$
$61$	3.79365	+	1.01650i	0.485727	+	0.130150i	−0.00764124	+	0.999971i	$0.502432\pi$
$62$	11.4798	−	9.65934i	1.45794	−	1.22674i
$63$	0.484667	+	6.24185i	0.0610623	+	0.786399i
$64$	3.94337	−	6.96059i	0.492922	−	0.870074i
$65$	12.6180	−	7.99605i	1.56507	−	0.991788i
$66$	0.723571	−	1.03636i	0.0890655	−	0.127567i
$67$	−2.17911	+	3.77433i	−0.266221	+	0.461108i	−0.967883	−	0.251402i	$-0.919108\pi$
$67$	−2.17911	+	3.77433i	−0.266221	+	0.461108i	0.701662	+	0.712510i	$0.252442\pi$
$68$	2.71158	+	1.25547i	0.328827	+	0.152248i
$69$	0.000340288	0	0.000340288i	4.09659e−5	0	4.09659e-5i
$70$	1.89909	−	8.14822i	0.226984	−	0.973898i
$71$			5.39800i			0.640625i	0.947312	+	0.320313i	$0.103788\pi$
$71$			5.39800i			0.640625i	−0.947312	+	0.320313i	$0.896212\pi$
$72$	5.80982	+	3.32279i	0.684694	+	0.391595i
$73$	−12.7150	+	3.40697i	−1.48818	+	0.398756i	−0.909121	−	0.416531i	$-0.863246\pi$
$73$	−12.7150	+	3.40697i	−1.48818	+	0.398756i	−0.579057	+	0.815287i	$0.696579\pi$
$74$	0.399640	+	2.24859i	0.0464572	+	0.261394i
$75$	2.26732	+	3.27136i	0.261807	+	0.377744i
$76$	4.70279	−	3.31202i	0.539447	−	0.379914i
$77$	−0.544385	+	2.92017i	−0.0620385	+	0.332784i
$78$	4.84217	+	5.75478i	0.548268	+	0.651600i
$79$	−9.43202	+	5.44558i	−1.06119	+	0.612676i	−0.925760	−	0.378112i	$-0.876573\pi$
$79$	−9.43202	+	5.44558i	−1.06119	+	0.612676i	−0.135425	+	0.990788i	$0.543240\pi$
$80$	−6.06266	−	6.57602i	−0.677827	−	0.735222i
$81$	−1.84914	+	3.20280i	−0.205460	+	0.355867i
$82$	−3.15838	+	8.71440i	−0.348784	+	0.962345i
$83$	8.40249			0.922293			0.461146	−	0.887324i	$-0.347438\pi$
$83$	8.40249			0.922293			0.461146	+	0.887324i	$0.347438\pi$
$84$	4.19359	+	0.396727i	0.457558	+	0.0432865i
$85$	2.26293	−	2.45769i	0.245449	−	0.266574i
$86$	5.22923	−	14.4282i	0.563883	−	1.55583i
$87$	1.30367	+	4.86537i	0.139768	+	0.521622i
$88$	2.25461	+	2.23630i	0.240342	+	0.238390i
$89$	−7.59633	+	4.38574i	−0.805209	+	0.464888i	−0.845289	−	0.534309i	$-0.820572\pi$
$89$	−7.59633	+	4.38574i	−0.805209	+	0.464888i	0.0400802	+	0.999196i	$0.487239\pi$
$90$	5.52222	−	5.04963i	0.582093	−	0.532278i
$91$	−15.9453	−	7.62604i	−1.67153	−	0.799427i
$92$	0.000696181	0	0.000988521i	7.25819e−5	0	0.000103060i
$93$	7.31367	−	4.22255i	0.758392	−	0.437858i
$94$	3.99251	+	2.78751i	0.411796	+	0.287510i
$95$	−1.91911	−	6.13793i	−0.196896	−	0.629738i
$96$	2.87107	−	3.46921i	0.293027	−	0.354074i
$97$	11.1142	+	11.1142i	1.12847	+	1.12847i	0.990426	+	0.138048i	$0.0440829\pi$
$97$	11.1142	+	11.1142i	1.12847	+	1.12847i	0.138048	+	0.990426i	$0.455917\pi$
$98$	−9.36252	+	3.21607i	−0.945758	+	0.324872i
$99$	−1.87859	+	1.87859i	−0.188805	+	0.188805i
$100$	−9.07185	+	4.20733i	−0.907185	+	0.420733i
$101$	9.54856	−	2.55853i	0.950117	−	0.254583i	0.249705	−	0.968322i	$-0.419666\pi$
$101$	9.54856	−	2.55853i	0.950117	−	0.254583i	0.700412	+	0.713739i	$0.253000\pi$
$102$	1.37912	+	0.962880i	0.136553	+	0.0953393i
$103$	1.66561	−	6.21615i	0.164118	−	0.612496i	−0.834033	−	0.551714i	$-0.813974\pi$
$103$	1.66561	−	6.21615i	0.164118	−	0.612496i	0.998151	−	0.0607816i	$-0.0193593\pi$
$104$	−16.3253	+	9.51439i	−1.60083	+	0.932963i
$105$	1.85508	−	4.32876i	0.181037	−	0.422444i
$106$	−9.33106	−	11.0897i	−0.906313	−	1.07713i
$107$	−4.43358	+	2.55973i	−0.428610	+	0.247458i	−0.698754	−	0.715362i	$-0.746262\pi$
$107$	−4.43358	+	2.55973i	−0.428610	+	0.247458i	0.270144	+	0.962820i	$0.412929\pi$
$108$	6.55977	+	5.47399i	0.631214	+	0.526735i
$109$	−2.42712	−	9.05814i	−0.232476	−	0.867613i	−0.979270	−	0.202558i	$-0.935075\pi$
$109$	−2.42712	−	9.05814i	−0.232476	−	0.867613i	0.746794	−	0.665055i	$-0.231592\pi$
$110$	3.15095	−	1.63612i	0.300431	−	0.155998i
$111$			1.28556i			0.122020i
$112$	−2.78340	+	10.2104i	−0.263007	+	0.964794i
$113$	10.1175	+	10.1175i	0.951779	+	0.951779i	0.998890	−	0.0471109i	$-0.0150014\pi$
$113$	10.1175	+	10.1175i	0.951779	+	0.951779i	−0.0471109	+	0.998890i	$0.515001\pi$
$114$	2.93256	−	1.37233i	0.274660	−	0.128531i
$115$	0.00129018		0.000403394i	0.000120310		3.76167e-5i
$116$	−12.6037	+	1.13721i	−1.17023	+	0.105587i
$117$	−7.90412	−	13.6903i	−0.730736	−	1.26567i
$118$	0.703490	+	0.0605842i	0.0647615	+	0.00557722i
$119$	−3.88596	−	0.724431i	−0.356226	−	0.0664085i
$120$	−2.71226	−	4.24166i	−0.247594	−	0.387209i
$121$	8.43463	−	4.86973i	0.766784	−	0.442703i
$122$	−3.17962	+	4.55413i	−0.287869	+	0.412311i
$123$	−2.60876	+	4.51851i	−0.235224	+	0.407420i
$124$	7.31095	+	19.9181i	0.656543	+	1.78869i
$125$	1.37952	+	11.0949i	0.123388	+	0.992358i
$126$	−8.53261	−	2.36344i	−0.760145	−	0.210552i
$127$	−4.32394	+	4.32394i	−0.383687	+	0.383687i	−0.872429	−	0.488741i	$-0.837456\pi$
$127$	−4.32394	+	4.32394i	−0.383687	+	0.383687i	0.488741	+	0.872429i	$0.337456\pi$
$128$	7.35443	+	8.59723i	0.650046	+	0.759895i
$129$	4.31925	−	7.48116i	0.380289	−	0.658679i
$130$	4.55102	+	20.6298i	0.399151	+	1.80935i
$131$	9.57147	+	2.56467i	0.836263	+	0.224076i	0.651444	−	0.758697i	$-0.274164\pi$
$131$	9.57147	+	2.56467i	0.836263	+	0.224076i	0.184819	+	0.982773i	$0.440830\pi$
$132$	1.02925	+	1.46145i	0.0895848	+	0.127203i
$133$	−4.94784	+	5.78090i	−0.429032	+	0.501268i
$134$	−3.96821	−	4.71609i	−0.342801	−	0.407409i
$135$	8.06850	−	5.11304i	0.694426	−	0.440060i
$136$	−2.97591	+	3.00028i	−0.255182	+	0.257272i
$137$	12.9080	−	3.45869i	1.10280	−	0.295496i	0.338898	−	0.940823i	$-0.389946\pi$
$137$	12.9080	−	3.45869i	1.10280	−	0.295496i	0.763906	+	0.645327i	$0.223279\pi$
$138$	0.000288462	0	0.000616420i	2.45555e−5	0	5.24732e-5i
$139$	−7.77668	+	7.77668i	−0.659609	+	0.659609i	−0.955288	−	0.295678i	$-0.904454\pi$
$139$	−7.77668	+	7.77668i	−0.659609	+	0.659609i	0.295678	+	0.955288i	$0.404454\pi$
$140$	9.91859	+	6.45148i	0.838274	+	0.545249i
$141$	1.93812	+	1.93812i	0.163219	+	0.163219i
$142$	−7.17709	−	2.60121i	−0.602288	−	0.218288i
$143$	−1.94127	−	7.24494i	−0.162338	−	0.605852i
$144$	−7.21758	+	6.12344i	−0.601465	+	0.510287i
$145$	−3.09545	+	13.8059i	−0.257063	+	1.14652i
$146$	1.59729	−	18.5474i	0.132193	−	1.53499i
$147$	−5.50558	+	0.860180i	−0.454093	+	0.0709465i
$148$	−3.18227	−	0.552206i	−0.261581	−	0.0453911i
$149$	−0.945337	+	3.52805i	−0.0774450	+	0.289029i	−0.993777	−	0.111392i	$-0.964469\pi$
$149$	−0.945337	+	3.52805i	−0.0774450	+	0.289029i	0.916332	+	0.400420i	$0.131136\pi$
$150$	−5.44212	+	1.43817i	−0.444347	+	0.117426i
$151$	13.3247	+	7.69302i	1.08435	+	0.626049i	0.932066	−	0.362288i	$-0.118004\pi$
$151$	13.3247	+	7.69302i	1.08435	+	0.626049i	0.152283	+	0.988337i	$0.451338\pi$
$152$	2.13740	+	7.84875i	0.173366	+	0.636618i
$153$	−2.49990	−	2.49990i	−0.202105	−	0.202105i
$154$	−3.62027	−	2.13098i	−0.291730	−	0.171720i
$155$	23.7016	−	0.977880i	1.90376	−	0.0785453i
$156$	−9.98481	+	3.66494i	−0.799425	+	0.293430i
$157$	−3.45918	−	1.99716i	−0.276073	−	0.159391i	0.355571	−	0.934649i	$-0.384286\pi$
$157$	−3.45918	−	1.99716i	−0.276073	−	0.159391i	−0.631644	+	0.775258i	$0.717620\pi$
$158$	−2.69521	−	15.1648i	−0.214420	−	1.20644i
$159$	−4.07904	−	7.06511i	−0.323489	−	0.560300i
$160$	11.6649	−	4.89194i	0.922188	−	0.386742i
$161$	−0.00121514	−	0.00104003i	−9.57663e−5	−	8.19658e-5i
$162$	−3.36732	−	4.00195i	−0.264561	−	0.314423i
$163$	3.85280	−	2.22441i	0.301774	−	0.174229i	−0.341465	−	0.939894i	$-0.610923\pi$
$163$	3.85280	−	2.22441i	0.301774	−	0.174229i	0.643240	+	0.765665i	$0.277590\pi$
$164$	−10.0645	−	8.39864i	−0.785909	−	0.655824i
$165$	1.90744	−	0.596387i	0.148494	−	0.0464287i
$166$	−4.04902	+	11.1718i	−0.314265	+	0.867099i
$167$	−15.0819	+	15.0819i	−1.16707	+	1.16707i	−0.184180	+	0.982893i	$0.558963\pi$
$167$	−15.0819	+	15.0819i	−1.16707	+	1.16707i	−0.982893	+	0.184180i	$0.941037\pi$
$168$	−2.54830	+	5.38455i	−0.196606	+	0.415427i
$169$	31.6300			2.43308
$170$	2.17723	+	4.19307i	0.166986	+	0.321593i
$171$	−6.57361	+	1.76139i	−0.502696	+	0.134697i
$172$	16.6636	+	13.9054i	1.27059	+	1.06028i
$173$	8.83801	+	15.3079i	0.671942	+	1.16384i	0.977353	+	0.211616i	$0.0678728\pi$
$173$	8.83801	+	15.3079i	0.671942	+	1.16384i	−0.305411	+	0.952221i	$0.598794\pi$
$174$	−7.09712	−	0.611200i	−0.538031	−	0.0463349i
$175$	10.2566	−	8.35472i	0.775329	−	0.631557i
$176$	−4.05980	+	1.92005i	−0.306019	+	0.144729i
$177$	0.383913	+	0.102869i	0.0288567	+	0.00773213i
$178$	−2.17066	−	12.2134i	−0.162698	−	0.915430i
$179$	3.68851	+	13.7657i	0.275693	+	1.02890i	0.955376	+	0.295393i	$0.0954505\pi$
$179$	3.68851	+	13.7657i	0.275693	+	1.02890i	−0.679683	+	0.733506i	$0.737883\pi$
$180$	4.05284	+	9.77558i	0.302081	+	0.728629i
$181$	−9.40487	−	9.40487i	−0.699059	−	0.699059i	0.265149	−	0.964208i	$-0.414579\pi$
$181$	−9.40487	−	9.40487i	−0.699059	−	0.699059i	−0.964208	+	0.265149i	$0.914579\pi$
$182$	17.8232	−	17.5258i	1.32115	−	1.29910i
$183$	−2.21075	+	2.21075i	−0.163423	+	0.163423i
$184$	−0.00164980		0.000449279i	−0.000121625		3.31213e-5i
$185$	−1.67508	+	3.19904i	−0.123154	+	0.235198i
$186$	2.08989	+	11.7589i	0.153238	+	0.862204i
$187$	−0.838717	−	1.45270i	−0.0613330	−	0.106232i
$188$	−5.63015	+	3.96512i	−0.410621	+	0.289186i
$189$	−10.1962	−	4.87644i	−0.741662	−	0.354709i
$190$	9.08566	+	0.406153i	0.659143	+	0.0294654i
$191$	−5.23759	−	9.07177i	−0.378979	−	0.656410i	0.611935	−	0.790908i	$-0.290391\pi$
$191$	−5.23759	−	9.07177i	−0.378979	−	0.656410i	−0.990914	+	0.134498i	$0.957058\pi$
$192$	3.22908	+	5.48907i	0.233039	+	0.396139i
$193$	−9.91441	+	2.65656i	−0.713655	+	0.191223i	−0.597339	−	0.801989i	$-0.703775\pi$
$193$	−9.91441	+	2.65656i	−0.713655	+	0.191223i	−0.116316	+	0.993212i	$0.537109\pi$
$194$	−20.1329	+	9.42148i	−1.44546	+	0.676423i
$195$	0.490206	+	11.8815i	0.0351044	+	0.850852i
$196$	0.235608	−	13.9980i	0.0168292	−	0.999858i
$197$		−	14.0883i		−	1.00375i	−0.864939	−	0.501876i	$-0.832643\pi$
$197$		−	14.0883i		−	1.00375i	0.864939	−	0.501876i	$-0.167357\pi$
$198$	−1.59248	−	3.40300i	−0.113173	−	0.241841i
$199$	−2.43672	−	1.40684i	−0.172735	−	0.0997284i	0.411140	−	0.911572i	$-0.365131\pi$
$199$	−2.43672	−	1.40684i	−0.172735	−	0.0997284i	−0.583875	+	0.811844i	$0.698464\pi$
$200$	−1.22242	−	14.0892i	−0.0864382	−	0.996257i
$201$	−1.73469	−	3.00457i	−0.122355	−	0.211926i
$202$	−1.19951	+	13.9285i	−0.0843975	+	0.980006i
$203$	15.7865	−	5.57170i	1.10800	−	0.391057i
$204$	−1.94480	+	1.36966i	−0.136163	+	0.0958953i
$205$	−12.3794	+	7.84485i	−0.864613	+	0.547908i
$206$	7.46225	+	5.21003i	0.519920	+	0.363000i
$207$	−0.000370242	−	0.00138176i	−2.57336e−5	−	9.60392e-5i
$208$	−4.78326	−	26.2907i	−0.331660	−	1.82293i
$209$	−3.22899			−0.223354
$210$	4.86151	+	4.55244i	0.335476	+	0.314148i
$211$	10.4346	+	10.4346i	0.718351	+	0.718351i	0.968267	−	0.249917i	$-0.0804032\pi$
$211$	10.4346	+	10.4346i	0.718351	+	0.718351i	−0.249917	+	0.968267i	$0.580403\pi$
$212$	19.2411	−	7.06248i	1.32149	−	0.485053i
$213$	−3.72139	−	2.14855i	−0.254986	−	0.147216i
$214$	−1.26690	−	7.12829i	−0.0866036	−	0.487280i
$215$	20.4962	−	12.9885i	1.39783	−	0.885807i
$216$	−10.4392	+	6.08393i	−0.710295	+	0.413959i
$217$	−15.8737	−	23.1482i	−1.07757	−	1.57140i
$218$	13.2131	+	1.13791i	0.894906	+	0.0770688i
$219$	2.71213	−	10.1218i	0.183269	−	0.683969i
$220$	0.656965	+	4.97786i	0.0442926	+	0.335607i
$221$	9.64107	−	2.58332i	0.648529	−	0.173773i
$222$	−1.70925	−	0.619488i	−0.114718	−	0.0415773i
$223$	−15.4512	+	15.4512i	−1.03469	+	1.03469i	−0.0353113	+	0.999376i	$0.511242\pi$
$223$	−15.4512	+	15.4512i	−1.03469	+	1.03469i	−0.999376	+	0.0353113i	$0.988758\pi$
$224$	−12.2343	−	8.62099i	−0.817440	−	0.576014i
$225$	11.7913	−	0.974628i	0.786086	−	0.0649752i
$226$	−18.3276	+	8.57664i	−1.21913	+	0.570509i
$227$	−9.71444	−	5.60864i	−0.644770	−	0.372258i	0.141679	−	0.989913i	$-0.454750\pi$
$227$	−9.71444	−	5.60864i	−0.644770	−	0.372258i	−0.786450	+	0.617654i	$0.788083\pi$
$228$	0.411475	+	4.56038i	0.0272506	+	0.302019i
$229$	5.17754	+	1.38732i	0.342141	+	0.0916765i	0.425798	−	0.904818i	$-0.359993\pi$
$229$	5.17754	+	1.38732i	0.342141	+	0.0916765i	−0.0836570	+	0.996495i	$0.526660\pi$
$230$	−8.53728e−5		0.00190979i	−5.62932e−6		0.000125928i
$231$	−1.79649	−	1.53760i	−0.118200	−	0.101167i
$232$	4.56151	−	17.3057i	0.299478	−	1.13618i
$233$	0.152702	+	0.0409163i	0.0100038	+	0.00268051i	0.263817	−	0.964573i	$-0.415018\pi$
$233$	0.152702	+	0.0409163i	0.0100038	+	0.00268051i	−0.253814	+	0.967253i	$0.581685\pi$
$234$	22.0113	−	3.91203i	1.43892	−	0.255738i
$235$	2.29754	+	7.34828i	0.149875	+	0.479349i
$236$	−0.419552	+	0.906154i	−0.0273105	+	0.0589856i
$237$		−	8.66994i		−	0.563173i
$238$	2.83577	−	4.81761i	0.183816	−	0.312280i
$239$		−	5.89971i		−	0.381621i	−0.981627	−	0.190810i	$-0.938888\pi$
$239$		−	5.89971i		−	0.381621i	0.981627	−	0.190810i	$-0.0611115\pi$
$240$	6.94663	−	1.56218i	0.448403	−	0.100838i
$241$	0.865145	+	0.499492i	0.0557289	+	0.0321751i	0.527606	−	0.849489i	$-0.323090\pi$
$241$	0.865145	+	0.499492i	0.0557289	+	0.0321751i	−0.471877	+	0.881665i	$0.656423\pi$
$242$	2.41021	+	13.5612i	0.154934	+	0.871745i
$243$	−7.87980	−	13.6482i	−0.505489	−	0.875533i
$244$	−4.52288	−	6.42212i	−0.289548	−	0.411134i
$245$	−14.8211	−	5.03325i	−0.946888	−	0.321563i
$246$	−4.75061	−	5.64595i	−0.302888	−	0.359973i
$247$	4.97279	−	18.5587i	0.316411	−	1.18086i
$248$	−30.0057	+	0.122336i	−1.90536	+	0.00776837i
$249$	−3.34441	+	5.79269i	−0.211943	+	0.367097i
$250$	−15.4164	−	3.51226i	−0.975016	−	0.222135i
$251$	8.50132	+	8.50132i	0.536599	+	0.536599i	0.922528	−	0.385930i	$-0.126119\pi$
$251$	8.50132	+	8.50132i	0.536599	+	0.536599i	−0.385930	+	0.922528i	$0.626119\pi$
$252$	7.25410	−	10.2059i	0.456966	−	0.642911i
$253$		0	0.000678730i		0	4.26714e-5i
$254$	−3.66540	−	7.83266i	−0.229988	−	0.491465i
$255$	0.793631	+	2.53829i	0.0496991	+	0.158954i
$256$	−14.9747	+	5.63546i	−0.935919	+	0.352216i
$257$	−1.94361	+	7.25364i	−0.121239	+	0.452470i	−0.999678	−	0.0253851i	$-0.991919\pi$
$257$	−1.94361	+	7.25364i	−0.121239	+	0.452470i	0.878439	+	0.477855i	$0.158585\pi$
$258$	7.86544	+	9.34784i	0.489681	+	0.581971i
$259$	4.25984	−	0.330768i	0.264693	−	0.0205529i
$260$	−29.6221	−	3.89019i	−1.83708	−	0.241260i
$261$	14.4625	+	3.87522i	0.895206	+	0.239870i
$262$	−8.02226	+	11.4902i	−0.495617	+	0.709866i
$263$	−4.54347	−	16.9565i	−0.280162	−	1.04558i	−0.952302	−	0.305156i	$-0.901291\pi$
$263$	−4.54347	−	16.9565i	−0.280162	−	1.04558i	0.672140	−	0.740424i	$-0.265375\pi$
$264$	−2.43910	+	0.664225i	−0.150116	+	0.0408802i
$265$	−0.944647	−	22.8961i	−0.0580292	−	1.40650i
$266$	−5.30191	−	9.36428i	−0.325081	−	0.574161i
$267$		−	6.98257i		−	0.427326i
$268$	8.18265	−	3.00345i	0.499835	−	0.183465i
$269$	9.16044	−	2.45453i	0.558522	−	0.149656i	0.0314948	−	0.999504i	$-0.489973\pi$
$269$	9.16044	−	2.45453i	0.558522	−	0.149656i	0.527027	+	0.849848i	$0.323307\pi$
$270$	2.91013	+	13.1916i	0.177105	+	0.802817i
$271$	18.2436	−	10.5329i	1.10822	−	0.639831i	0.169852	−	0.985470i	$-0.445671\pi$
$271$	18.2436	−	10.5329i	1.10822	−	0.639831i	0.938368	+	0.345638i	$0.112338\pi$
$272$	−2.55507	−	5.40250i	−0.154924	−	0.327575i
$273$	11.6041	−	7.95738i	0.702311	−	0.481602i
$274$	−1.62154	+	18.8289i	−0.0979605	+	1.13750i
$275$	5.52365	+	1.00131i	0.333089	+	0.0603815i
$276$	−0.000958587	0	8.64915e-5i	−5.77001e−5	0	5.20618e-6i
$277$	−6.51451	−	3.76115i	−0.391419	−	0.225986i	0.291356	−	0.956615i	$-0.405894\pi$
$277$	−6.51451	−	3.76115i	−0.391419	−	0.225986i	−0.682775	+	0.730629i	$0.739227\pi$
$278$	−6.59228	−	14.0872i	−0.395379	−	0.844893i
$279$		−	25.1034i		−	1.50290i
$280$	−13.3574	+	10.0787i	−0.798256	+	0.602319i
$281$			9.45241i			0.563883i	0.959432	+	0.281942i	$0.0909785\pi$
$281$			9.45241i			0.563883i	−0.959432	+	0.281942i	$0.909022\pi$
$282$	−3.51084	+	1.64294i	−0.209068	+	0.0978359i
$283$	12.1610	+	7.02114i	0.722895	+	0.417364i	0.815817	−	0.578310i	$-0.196287\pi$
$283$	12.1610	+	7.02114i	0.722895	+	0.417364i	−0.0929223	+	0.995673i	$0.529621\pi$
$284$	6.91703	−	8.28905i	0.410450	−	0.491865i
$285$	4.99535	+	1.12002i	0.295899	+	0.0663443i
$286$	10.5682	+	0.910128i	0.624911	+	0.0538170i
$287$	15.6438	+	7.48183i	0.923425	+	0.441639i
$288$	−4.66358	−	12.5471i	−0.274804	−	0.739348i
$289$	−12.7893	+	7.38389i	−0.752310	+	0.434347i
$290$	−16.8644	−	10.7685i	−0.990312	−	0.632347i
$291$	−12.0859	+	3.23840i	−0.708486	+	0.189838i
$292$	23.8906	+	11.0614i	1.39809	+	0.647320i
$293$			10.4455i			0.610235i	0.952315	+	0.305117i	$0.0986957\pi$
$293$			10.4455i			0.610235i	−0.952315	+	0.305117i	$0.901304\pi$
$294$	1.50937	−	7.73463i	0.0880280	−	0.451093i
$295$	0.821309	+	0.756223i	0.0478185	+	0.0440290i
$296$	2.26769	−	3.96499i	0.131807	−	0.230460i
$297$	−1.24134	−	4.63274i	−0.0720298	−	0.268819i
$298$	−4.23528	−	2.95701i	−0.245343	−	0.171295i
$299$	0.00390101	+	0.00104527i	0.000225601	+	6.04497e-5i
$300$	0.710294	−	7.92878i	0.0410088	−	0.457768i
$301$	−25.9010	−	12.3875i	−1.49291	−	0.714001i
$302$	−16.6495	+	14.0092i	−0.958068	+	0.806136i
$303$	−2.03672	+	7.60116i	−0.117007	+	0.436675i
$304$	−11.4655	−	0.940329i	−0.657594	−	0.0539316i
$305$	−8.38194	+	2.62073i	−0.479949	+	0.150062i
$306$	4.52848	−	2.11916i	0.258876	−	0.121145i
$307$			27.9820i			1.59702i	0.601984	+	0.798508i	$0.294377\pi$
$307$			27.9820i			1.59702i	−0.601984	+	0.798508i	$0.705623\pi$
$308$	4.57787	−	3.78657i	0.260848	−	0.215760i
$309$	3.62247	+	3.62247i	0.206075	+	0.206075i
$310$	−10.1212	+	31.9845i	−0.574848	+	1.81660i
$311$	−3.59251	+	6.22241i	−0.203713	+	0.352841i	−0.949722	−	0.313095i	$-0.898634\pi$
$311$	−3.59251	+	6.22241i	−0.203713	+	0.352841i	0.746009	+	0.665936i	$0.231967\pi$
$312$	−0.0613266	−	15.0417i	−0.00347193	−	0.851569i
$313$	3.75180	−	14.0019i	0.212064	−	0.791435i	−0.775115	−	0.631820i	$-0.782308\pi$
$313$	3.75180	−	14.0019i	0.212064	−	0.791435i	0.987179	−	0.159615i	$-0.0510252\pi$
$314$	4.32231	−	3.63687i	0.243922	−	0.205240i
$315$	−8.38636	−	11.2092i	−0.472518	−	0.631569i
$316$	21.4616	+	3.72414i	1.20731	+	0.209499i
$317$	2.86139	+	4.95608i	0.160712	+	0.278361i	0.935124	−	0.354320i	$-0.115288\pi$
$317$	2.86139	+	4.95608i	0.160712	+	0.278361i	−0.774412	+	0.632681i	$0.781954\pi$
$318$	11.3593	−	2.01887i	0.636996	−	0.113212i
$319$	6.15230	+	3.55203i	0.344463	+	0.198876i
$320$	0.883133	+	17.8667i	0.0493686	+	0.998781i
$321$		−	4.07536i		−	0.227464i
$322$	0.00196836	−	0.00111445i	0.000109692	−	6.21061e-5i
$323$		−	4.29693i		−	0.239087i
$324$	6.94358	−	2.54865i	0.385754	−	0.141592i
$325$	−14.2617	+	30.2052i	−0.791098	+	1.67548i
$326$	1.10094	+	6.19451i	0.0609756	+	0.343082i
$327$	7.21076	+	1.93212i	0.398756	+	0.106846i
$328$	16.0166	−	9.33447i	0.884370	−	0.515410i
$329$	5.92352	−	6.92086i	0.326574	−	0.381559i
$330$	−0.126217	+	2.82349i	−0.00694803	+	0.155428i
$331$	7.73949	+	2.07379i	0.425401	+	0.113986i	0.465167	−	0.885223i	$-0.345994\pi$
$331$	7.73949	+	2.07379i	0.425401	+	0.113986i	−0.0397655	+	0.999209i	$0.512661\pi$
$332$	−12.9027	−	10.7670i	−0.708126	−	0.590916i
$333$	3.30940	+	1.91068i	0.181354	+	0.104705i
$334$	−12.7849	−	27.3203i	−0.699559	−	1.49490i
$335$	−0.401729	−	9.73700i	−0.0219488	−	0.531989i
$336$	−5.93122	−	5.98290i	−0.323574	−	0.326394i
$337$	13.1935	−	13.1935i	0.718694	−	0.718694i	−0.249644	−	0.968338i	$-0.580314\pi$
$337$	13.1935	−	13.1935i	0.718694	−	0.718694i	0.968338	+	0.249644i	$0.0803136\pi$
$338$	−15.2420	+	42.0547i	−0.829054	+	2.28748i
$339$	−11.0021	+	2.94801i	−0.597553	+	0.160114i
$340$	−6.62420	+	0.874244i	−0.359248	+	0.0474126i
$341$	3.08273	−	11.5049i	0.166939	−	0.623026i
$342$	0.825793	−	9.58893i	0.0446538	−	0.518510i
$343$	4.26686	+	18.0220i	0.230389	+	0.973099i
$344$	−26.5183	+	15.4548i	−1.42977	+	0.833268i
$345$	−0.000235427		0.00105002i	−1.26750e−5		5.65310e-5i
$346$	−24.6120	+	4.37425i	−1.32315	+	0.235161i
$347$	−30.1358	−	17.3989i	−1.61778	−	0.934023i	−0.987494	−	0.157657i	$-0.949606\pi$
$347$	−30.1358	−	17.3989i	−1.61778	−	0.934023i	−0.630282	−	0.776366i	$-0.717061\pi$
$348$	4.23262	−	9.14168i	0.226892	−	0.490046i
$349$	3.23597	+	3.23597i	0.173218	+	0.173218i	0.788392	−	0.615174i	$-0.210914\pi$
$349$	3.23597	+	3.23597i	0.173218	+	0.173218i	−0.615174	+	0.788392i	$0.710914\pi$
$350$	6.16579	+	17.6630i	0.329575	+	0.944129i
$351$	28.5385			1.52327
$352$	−0.596519	−	6.32307i	−0.0317945	−	0.337021i
$353$	−1.98254	−	7.39895i	−0.105520	−	0.393806i	0.892884	−	0.450288i	$-0.148679\pi$
$353$	−1.98254	−	7.39895i	−0.105520	−	0.393806i	−0.998404	+	0.0564812i	$0.982012\pi$
$354$	−0.321775	+	0.460874i	−0.0171021	+	0.0244952i
$355$	−6.46093	−	10.1955i	−0.342911	−	0.541122i
$356$	17.2847	+	2.99934i	0.916086	+	0.158964i
$357$	2.04614	−	2.39065i	0.108293	−	0.126526i
$358$	−20.0801	−	1.72929i	−1.06127	−	0.0913956i
$359$	−14.0661	−	24.3632i	−0.742381	−	1.28584i	−0.951409	−	0.307931i	$-0.900363\pi$
$359$	−14.0661	−	24.3632i	−0.742381	−	1.28584i	0.209028	−	0.977910i	$-0.432970\pi$
$360$	−14.9504	+	0.677893i	−0.787957	+	0.0357281i
$361$	9.29122	+	5.36429i	0.489012	+	0.282331i
$362$	17.0366	−	7.97250i	0.895424	−	0.419025i
$363$			7.75313i			0.406934i
$364$	14.7132	+	32.1428i	0.771183	+	1.68474i
$365$	19.9377	−	21.6537i	1.04359	−	1.13340i
$366$	−1.87405	−	4.00470i	−0.0979583	−	0.209329i
$367$	−5.88387	+	1.57658i	−0.307136	+	0.0822968i	−0.409095	−	0.912492i	$-0.634156\pi$
$367$	−5.88387	+	1.57658i	−0.307136	+	0.0822968i	0.101959	+	0.994789i	$0.467489\pi$
$368$	0.000197656	−	0.00241004i	1.03035e−5	−	0.000125632i
$369$	7.75465	+	13.4314i	0.403691	+	0.699213i
$370$	−3.44619	−	3.76872i	−0.179159	−	0.195926i
$371$	−22.3615	+	15.3342i	−1.16095	+	0.796111i
$372$	−16.6415	−	2.88773i	−0.862821	−	0.149722i
$373$	5.52849	+	9.57563i	0.286254	+	0.495807i	0.972913	−	0.231173i	$-0.0742564\pi$
$373$	5.52849	+	9.57563i	0.286254	+	0.495807i	−0.686658	+	0.726980i	$0.740923\pi$
$374$	2.33565	−	0.415111i	0.120773	−	0.0214649i
$375$	−8.19794	−	3.46502i	−0.423340	−	0.178933i
$376$	−2.55888	−	9.39647i	−0.131964	−	0.484586i
$377$	−29.8902	+	29.8902i	−1.53942	+	1.53942i
$378$	11.3970	−	11.2068i	0.586198	−	0.576414i
$379$	−7.23756	−	7.23756i	−0.371768	−	0.371768i	0.496353	−	0.868121i	$-0.334672\pi$
$379$	−7.23756	−	7.23756i	−0.371768	−	0.371768i	−0.868121	+	0.496353i	$0.834672\pi$
$380$	−4.91824	+	11.8844i	−0.252300	+	0.609658i
$381$	−1.25989	−	4.70197i	−0.0645461	−	0.240889i
$382$	14.5856	−	2.59227i	0.746263	−	0.132632i
$383$	−20.6625	−	5.53650i	−1.05581	−	0.282902i	−0.311156	−	0.950359i	$-0.600716\pi$
$383$	−20.6625	−	5.53650i	−1.05581	−	0.282902i	−0.744649	+	0.667457i	$0.767383\pi$
$384$	−8.85421	+	1.64823i	−0.451839	+	0.0841111i
$385$	−2.46697	−	6.16707i	−0.125728	−	0.314303i
$386$	1.24547	−	14.4622i	0.0633929	−	0.736105i
$387$	−12.8391	−	22.2381i	−0.652650	−	1.13042i
$388$	−2.82491	−	31.3085i	−0.143413	−	1.58945i
$389$	12.4491	−	3.33573i	0.631195	−	0.169128i	0.0709829	−	0.997478i	$-0.477386\pi$
$389$	12.4491	−	3.33573i	0.631195	−	0.169128i	0.560212	+	0.828349i	$0.310720\pi$
$390$	−16.0337	−	5.07372i	−0.811895	−	0.256918i
$391$	0.000903209	0		4.56772e−5	0
$392$	18.4980	+	7.05867i	0.934289	+	0.356517i
$393$	−5.57778	+	5.57778i	−0.281362	+	0.281362i
$394$	18.7316	+	6.78893i	0.943685	+	0.342021i
$395$	11.2969	−	21.5747i	0.568410	−	1.08554i
$396$	5.29196	−	0.477484i	0.265931	−	0.0239945i
$397$	2.51352	−	1.45118i	0.126150	−	0.0728328i	−0.435597	−	0.900142i	$-0.643463\pi$
$397$	2.51352	−	1.45118i	0.126150	−	0.0728328i	0.561747	+	0.827309i	$0.310129\pi$
$398$	3.04473	−	2.56189i	0.152618	−	0.128416i
$399$	−2.01600	−	5.71200i	−0.100926	−	0.285958i
$400$	19.3218	+	5.16404i	0.966091	+	0.258202i
$401$	−4.82603	−	8.35893i	−0.241000	−	0.417425i	0.719999	−	0.693975i	$-0.244142\pi$
$401$	−4.82603	−	8.35893i	−0.241000	−	0.417425i	−0.961000	+	0.276550i	$0.910809\pi$
$402$	4.83074	−	0.858560i	0.240935	−	0.0428211i
$403$	61.3772	+	35.4361i	3.05741	+	1.76520i
$404$	−17.9411	−	8.30676i	−0.892601	−	0.413277i
$405$	−0.340896	−	8.26256i	−0.0169393	−	0.410570i
$406$	−0.199224	+	23.6744i	−0.00988732	+	1.17494i
$407$	1.28207	+	1.28207i	0.0635498	+	0.0635498i
$408$	−0.883906	−	3.24579i	−0.0437599	−	0.160691i
$409$	14.1519	+	8.17058i	0.699765	+	0.404009i	0.807260	−	0.590196i	$-0.200950\pi$
$409$	14.1519	+	8.17058i	0.699765	+	0.404009i	−0.107495	+	0.994206i	$0.534283\pi$
$410$	−4.46496	−	20.2397i	−0.220509	−	0.999567i
$411$	−2.75330	+	10.2754i	−0.135810	+	0.506850i
$412$	−10.5231	+	7.41106i	−0.518436	+	0.365117i
$413$	0.242090	−	1.29861i	0.0119125	−	0.0639003i
$414$	0.00201558		0.000173581i	9.90604e−5		8.53102e-6i
$415$	−15.8703	+	10.0570i	−0.779040	+	0.493680i
$416$	37.2606	+	6.30930i	1.82685	+	0.309339i
$417$	−2.26593	−	8.45658i	−0.110963	−	0.414121i
$418$	1.55600	−	4.29321i	0.0761063	−	0.209988i
$419$	−0.615630	−	0.615630i	−0.0300755	−	0.0300755i	0.691909	−	0.721985i	$-0.256770\pi$
$419$	−0.615630	−	0.615630i	−0.0300755	−	0.0300755i	−0.721985	+	0.691909i	$0.756770\pi$
$420$	−8.39552	+	4.27004i	−0.409660	+	0.208356i
$421$	−22.1332	+	22.1332i	−1.07871	+	1.07871i	−0.0820818	+	0.996626i	$0.526157\pi$
$421$	−22.1332	+	22.1332i	−1.07871	+	1.07871i	−0.996626	+	0.0820818i	$0.973843\pi$
$422$	−18.9020	+	8.84544i	−0.920135	+	0.430589i
$423$	7.86987	−	2.10873i	0.382646	−	0.102530i
$424$	0.118179	+	28.9860i	0.00573927	+	1.40768i
$425$	−1.33248	+	7.35050i	−0.0646349	+	0.356552i
$426$	4.64995	−	3.91255i	0.225291	−	0.189564i
$427$	7.89439	+	6.75676i	0.382036	+	0.326983i
$428$	10.0882	+	1.75055i	0.487629	+	0.0846162i
$429$	5.76735	+	1.54536i	0.278450	+	0.0746106i
$430$	7.39250	+	33.5103i	0.356498	+	1.61601i
$431$	−12.9019	+	22.3467i	−0.621461	+	1.07640i	0.367753	+	0.929924i	$0.380127\pi$
$431$	−12.9019	+	22.3467i	−0.621461	+	1.07640i	−0.989214	+	0.146479i	$0.953206\pi$
$432$	−3.05864	−	16.8115i	−0.147159	−	0.808842i
$433$	9.65727	−	9.65727i	0.464099	−	0.464099i	−0.435898	−	0.899996i	$-0.643569\pi$
$433$	9.65727	−	9.65727i	0.464099	−	0.464099i	0.899996	+	0.435898i	$0.143569\pi$
$434$	38.4267	−	9.95060i	1.84454	−	0.477644i
$435$	−8.28573	−	7.62912i	−0.397270	−	0.365788i
$436$	−7.88013	+	17.0196i	−0.377390	+	0.815092i
$437$	0.000869321	−	0.00150571i	4.15853e−5	−	7.20278e-5i
$438$	12.1508	+	8.48353i	0.580590	+	0.405359i
$439$	3.90919	−	2.25697i	0.186576	−	0.107720i	−0.403803	−	0.914846i	$-0.632312\pi$
$439$	3.90919	−	2.25697i	0.186576	−	0.107720i	0.590378	+	0.807127i	$0.298978\pi$
$440$	−6.93505	−	1.52526i	−0.330616	−	0.0727138i
$441$	−5.96842	+	15.4514i	−0.284211	+	0.735783i
$442$	−1.21114	+	14.0635i	−0.0576079	+	0.668930i
$443$	−1.05001	−	1.81867i	−0.0498875	−	0.0864076i	0.840003	−	0.542581i	$-0.182553\pi$
$443$	−1.05001	−	1.81867i	−0.0498875	−	0.0864076i	−0.889891	+	0.456174i	$0.849220\pi$
$444$	1.64732	−	1.97407i	0.0781783	−	0.0936853i
$445$	9.09827	−	17.3757i	0.431300	−	0.823689i
$446$	−13.0980	−	27.9893i	−0.620206	−	1.32533i
$447$	−2.05597	−	2.05597i	−0.0972442	−	0.0972442i
$448$	17.3578	−	12.1122i	0.820080	−	0.572249i
$449$			26.2427i			1.23847i	0.785207	+	0.619234i	$0.212557\pi$
$449$			26.2427i			1.23847i	−0.785207	+	0.619234i	$0.787443\pi$
$450$	−4.38617	+	16.1471i	−0.206766	+	0.761184i
$451$	1.90457	+	7.10793i	0.0896825	+	0.334700i
$452$	−2.57159	−	28.5010i	−0.120957	−	1.34057i
$453$	−10.6072	+	6.12405i	−0.498368	+	0.287733i
$454$	12.1384	−	10.2134i	0.569682	−	0.479341i
$455$	39.2446	−	4.68141i	1.83981	−	0.219468i
$456$	−6.26169	−	1.65048i	−0.293230	−	0.0772909i
$457$	−1.15221	+	4.30012i	−0.0538983	+	0.201151i	−0.987625	−	0.156837i	$-0.949870\pi$
$457$	−1.15221	+	4.30012i	−0.0538983	+	0.201151i	0.933726	+	0.357988i	$0.116537\pi$
$458$	−4.33952	+	6.21544i	−0.202772	+	0.290428i
$459$	6.16494	−	1.65189i	0.287755	−	0.0771036i
$460$	−0.00249809	−	0.00103381i	−0.000116474	−	4.82015e-5i
$461$	−3.95197	+	3.95197i	−0.184062	+	0.184062i	−0.793123	−	0.609061i	$-0.791546\pi$
$461$	−3.95197	+	3.95197i	−0.184062	+	0.184062i	0.609061	+	0.793123i	$0.291546\pi$
$462$	2.91007	−	1.64764i	0.135389	−	0.0766549i
$463$	15.9737	+	15.9737i	0.742362	+	0.742362i	0.973032	−	0.230670i	$-0.0740917\pi$
$463$	15.9737	+	15.9737i	0.742362	+	0.742362i	−0.230670	+	0.973032i	$0.574092\pi$
$464$	20.8112	+	14.4042i	0.966138	+	0.668699i
$465$	−8.75972	+	16.7292i	−0.406222	+	0.775797i
$466$	−0.127986	+	0.183312i	−0.00592883	+	0.00849179i
$467$	24.3229	−	14.0428i	1.12553	−	0.649825i	0.182723	−	0.983164i	$-0.441509\pi$
$467$	24.3229	−	14.0428i	1.12553	−	0.649825i	0.942807	+	0.333340i	$0.108176\pi$
$468$	−5.40549	+	31.1509i	−0.249869	+	1.43995i
$469$	−9.50965	+	6.52115i	−0.439115	+	0.301119i
$470$	−10.8773	−	0.486243i	−0.501732	−	0.0224287i
$471$	2.75369	−	1.58984i	0.126883	−	0.0732562i
$472$	−1.00263	−	0.994488i	−0.0461498	−	0.0457750i
$473$	−3.15333	−	11.7684i	−0.144990	−	0.541112i
$474$	11.5274	+	4.17790i	0.529471	+	0.191897i
$475$	10.9713	+	9.29605i	0.503397	+	0.426532i
$476$	5.03891	+	6.09192i	0.230958	+	0.279223i
$477$	−24.2502			−1.11034
$478$	7.84415	+	2.84297i	0.358783	+	0.130034i
$479$	12.1922	−	21.1175i	0.557075	−	0.964881i	−0.440664	−	0.897672i	$-0.645257\pi$
$479$	12.1922	−	21.1175i	0.557075	−	0.964881i	0.997739	−	0.0672094i	$-0.0214096\pi$
$480$	−1.27041	+	9.98890i	−0.0579861	+	0.455929i
$481$	−9.34315	+	5.39427i	−0.426011	+	0.245958i
$482$	−1.08101	+	0.909585i	−0.0492388	+	0.0414304i
$483$	0.00120066		0.000423760i	5.46317e−5		1.92817e-5i
$484$	−19.1921	−	3.33033i	−0.872369	−	0.151379i
$485$	−34.2947	−	7.68930i	−1.55724	−	0.349153i
$486$	21.9436	−	3.90000i	0.995380	−	0.176908i
$487$	9.03244	−	2.42023i	0.409299	−	0.109671i	−0.0482940	−	0.998833i	$-0.515378\pi$
$487$	9.03244	−	2.42023i	0.409299	−	0.109671i	0.457593	+	0.889162i	$0.348712\pi$
$488$	10.7182	−	2.91883i	0.485192	−	0.132129i
$489$			3.54150i			0.160152i
$490$	13.8342	−	17.2805i	0.624965	−	0.780653i
$491$	−15.2153	+	15.2153i	−0.686659	+	0.686659i	−0.961492	−	0.274833i	$-0.911377\pi$
$491$	−15.2153	+	15.2153i	−0.686659	+	0.686659i	0.274833	+	0.961492i	$0.411377\pi$
$492$	9.79600	−	3.59563i	0.441638	−	0.162104i
$493$	−4.72681	+	8.18707i	−0.212885	+	0.368727i
$494$	22.2790	+	15.5549i	1.00238	+	0.699846i
$495$	1.29969	−	5.79671i	0.0584169	−	0.260543i
$496$	14.2966	−	39.9540i	0.641936	−	1.79399i
$497$	−6.16196	+	12.8841i	−0.276402	+	0.577930i
$498$	−6.09024	−	7.23807i	−0.272910	−	0.324346i
$499$	−39.9154	−	10.6953i	−1.78686	−	0.478787i	−0.795053	−	0.606540i	$-0.792557\pi$
$499$	−39.9154	−	10.6953i	−1.78686	−	0.478787i	−0.991806	+	0.127753i	$0.959224\pi$
$500$	12.0987	−	18.8048i	0.541071	−	0.840977i
$501$	−4.39450	−	16.4005i	−0.196332	−	0.732720i
$502$	−15.3998	+	7.20656i	−0.687329	+	0.321645i
$503$	−5.91429	−	5.91429i	−0.263705	−	0.263705i	0.562852	−	0.826557i	$-0.309704\pi$
$503$	−5.91429	−	5.91429i	−0.263705	−	0.263705i	−0.826557	+	0.562852i	$0.809704\pi$
$504$	10.0740	+	14.5630i	0.448730	+	0.648687i
$505$	−14.9726	+	16.2612i	−0.666271	+	0.723615i
$506$	0.000902428	0	0.000327069i	4.01178e−5	0	1.45400e-5i
$507$	−12.5896	+	21.8058i	−0.559123	+	0.968430i
$508$	12.1805	−	1.09902i	0.540421	−	0.0487612i
$509$	−5.65927	+	21.1207i	−0.250843	+	0.936157i	0.719514	+	0.694478i	$0.244365\pi$
$509$	−5.65927	+	21.1207i	−0.250843	+	0.936157i	−0.970356	+	0.241679i	$0.922302\pi$
$510$	−3.75730	−	0.167961i	−0.166376	−	0.00743745i
$511$	−34.2376	−	6.38266i	−1.51458	−	0.282352i
$512$	−0.276755	−	22.6257i	−0.0122309	−	0.999925i
$513$	3.17982	−	11.8673i	0.140393	−	0.523953i
$514$	−8.70772	−	6.07959i	−0.384081	−	0.268159i
$515$	4.29424	+	13.7344i	0.189227	+	0.605210i
$516$	−16.2189	+	5.95319i	−0.713999	+	0.262074i
$517$	3.86573			0.170015
$518$	−1.61296	+	5.82319i	−0.0708694	+	0.255856i
$519$	−14.0711			−0.617651
$520$	19.4467	−	37.5104i	0.852794	−	1.64494i
$521$	7.35496	−	12.7392i	0.322227	−	0.558113i	−0.658720	−	0.752388i	$-0.728902\pi$
$521$	7.35496	−	12.7392i	0.322227	−	0.558113i	0.980947	+	0.194275i	$0.0622353\pi$
$522$	−12.1217	+	17.3617i	−0.530550	+	0.759900i
$523$	−2.07865	+	1.20011i	−0.0908931	+	0.0524772i	−0.544758	−	0.838594i	$-0.683378\pi$
$523$	−2.07865	+	1.20011i	−0.0908931	+	0.0524772i	0.453865	+	0.891071i	$0.350045\pi$
$524$	−11.4113	−	16.2032i	−0.498507	−	0.707839i
$525$	1.67735	+	10.3963i	0.0732054	+	0.453734i
$526$	24.7344	+	2.13011i	1.07847	+	0.0928774i
$527$	15.3100	+	4.10229i	0.666913	+	0.178699i
$528$	0.292219	−	3.56306i	0.0127172	−	0.155062i
$529$	−19.9186	−	11.5000i	−0.866025	−	0.500000i
$530$	30.8975	+	9.77727i	1.34210	+	0.424697i
$531$	0.835415	−	0.835415i	0.0362539	−	0.0362539i
$532$	15.0055	−	2.53683i	0.650570	−	0.109986i
$533$	−43.7861			−1.89659
$534$	9.28390	+	3.36478i	0.401753	+	0.145608i
$535$	5.31018	−	10.1413i	0.229579	−	0.438447i
$536$	0.0502577	+	12.3268i	0.00217080	+	0.532437i
$537$	−10.9582	−	2.93625i	−0.472883	−	0.126709i
$538$	−1.15076	+	13.3624i	−0.0496127	+	0.576092i
$539$	−4.63280	+	6.34849i	−0.199549	+	0.273449i
$540$	−18.9417	−	2.48757i	−0.815120	−	0.107048i
$541$	−0.393444	+	1.46835i	−0.0169155	+	0.0631294i	−0.973868	−	0.227116i	$-0.927070\pi$
$541$	−0.393444	+	1.46835i	−0.0169155	+	0.0631294i	0.956952	+	0.290245i	$0.0937370\pi$
$542$	5.21314	+	29.3320i	0.223923	+	1.25992i
$543$	10.2271	−	2.74035i	0.438888	−	0.117600i
$544$	8.41432	−	0.793807i	0.360761	−	0.0340342i
$545$	15.4260	+	14.2036i	0.660779	+	0.608415i
$546$	4.98818	+	19.2631i	0.213474	+	0.824384i
$547$	6.48504			0.277280			0.138640	−	0.990343i	$-0.455727\pi$
$547$	6.48504			0.277280			0.138640	+	0.990343i	$0.455727\pi$
$548$	−24.2532	−	11.2293i	−1.03605	−	0.479692i
$549$	2.40535	+	8.97690i	0.102658	+	0.383125i
$550$	−3.99308	+	6.86163i	−0.170266	+	0.292581i
$551$	9.09892	+	15.7598i	0.387627	+	0.671390i
$552$	0.000346929	−	0.00131620i	1.47663e−5	−	5.60211e-5i
$553$	−28.7288	+	2.23073i	−1.22167	+	0.0948605i
$554$	8.13999	−	6.84914i	0.345835	−	0.290992i
$555$	−1.53870	−	2.42810i	−0.0653141	−	0.103067i
$556$	21.9068	−	1.97661i	0.929054	−	0.0838269i
$557$	0.556849	−	0.964491i	0.0235945	−	0.0408668i	−0.853987	−	0.520294i	$-0.825822\pi$
$557$	0.556849	−	0.964491i	0.0235945	−	0.0408668i	0.877582	+	0.479427i	$0.159156\pi$
$558$	33.3770	+	12.0969i	1.41296	+	0.512102i
$559$	72.4953			3.06623
$560$	−6.96380	−	22.6165i	−0.294274	−	0.955721i
$561$	1.33533			0.0563775
$562$	−12.5678	−	4.55496i	−0.530139	−	0.192139i
$563$	9.89219	−	17.1338i	0.416906	−	0.722102i	−0.578721	−	0.815526i	$-0.696448\pi$
$563$	9.89219	−	17.1338i	0.416906	−	0.722102i	0.995626	+	0.0934237i	$0.0297811\pi$
$564$	−0.492615	−	5.45966i	−0.0207428	−	0.229893i
$565$	−31.2194	−	6.99978i	−1.31341	−	0.294483i
$566$	−15.1954	+	12.7856i	−0.638708	+	0.537421i
$567$	−8.06964	+	5.53367i	−0.338893	+	0.232392i
$568$	7.68777	+	13.1911i	0.322572	+	0.553487i
$569$	21.6338	+	37.4708i	0.906936	+	1.57086i	0.818297	+	0.574795i	$0.194918\pi$
$569$	21.6338	+	37.4708i	0.906936	+	1.57086i	0.0886385	+	0.996064i	$0.471748\pi$
$570$	−3.89634	+	6.10202i	−0.163200	+	0.255585i
$571$	7.70213	+	28.7447i	0.322324	+	1.20293i	0.916975	+	0.398945i	$0.130624\pi$
$571$	7.70213	+	28.7447i	0.322324	+	1.20293i	−0.594651	+	0.803984i	$0.702710\pi$
$572$	−6.30273	+	13.6127i	−0.263530	+	0.569177i
$573$	8.33880			0.348358
$574$	−17.4862	+	17.1944i	−0.729860	+	0.717679i
$575$	−0.00195402	+	0.00230615i	−8.14882e−5	+	9.61730e-5i
$576$	18.9298	−	0.154360i	0.788740	−	0.00643166i
$577$	−11.8664	+	3.17960i	−0.494006	+	0.132369i	−0.497217	−	0.867626i	$-0.665645\pi$
$577$	−11.8664	+	3.17960i	−0.494006	+	0.132369i	0.00321070	+	0.999995i	$0.498978\pi$
$578$	−3.65456	−	20.5626i	−0.152010	−	0.855290i
$579$	2.11476	−	7.89240i	0.0878865	−	0.327997i
$580$	22.4442	−	17.2335i	0.931947	−	0.715581i
$581$	20.0552	+	9.59165i	0.832031	+	0.397929i
$582$	1.51826	−	17.6297i	0.0629338	−	0.730774i
$583$	−11.1139	−	2.97797i	−0.460292	−	0.123335i
$584$	−26.2195	+	26.4342i	−1.08497	+	1.09385i
$585$	31.3151	+	16.3972i	1.29472	+	0.677940i
$586$	−13.8882	−	5.03353i	−0.573716	−	0.207933i
$587$	21.0376			0.868315			0.434157	−	0.900837i	$-0.357046\pi$
$587$	21.0376			0.868315			0.434157	+	0.900837i	$0.357046\pi$
$588$	9.55648	+	5.73401i	0.394103	+	0.236467i
$589$	21.5743	−	21.5743i	0.888955	−	0.888955i
$590$	−1.40124	+	0.727587i	−0.0576880	+	0.0299543i
$591$	9.71253	+	5.60753i	0.399520	+	0.230663i
$592$	4.17902	+	4.92574i	0.171757	+	0.202447i
$593$	−10.5714	−	2.83260i	−0.434116	−	0.116321i	0.0351417	−	0.999382i	$-0.488812\pi$
$593$	−10.5714	−	2.83260i	−0.434116	−	0.116321i	−0.469258	+	0.883061i	$0.655478\pi$
$594$	6.75779	+	0.581977i	0.277275	+	0.0238788i
$595$	8.20672	−	3.28288i	0.336443	−	0.134585i
$596$	5.97250	−	4.20623i	0.244643	−	0.172294i
$597$	1.93976	−	1.11992i	0.0793891	−	0.0458353i
$598$	−0.00326961	+	0.00468302i	−0.000133704	+	0.000191503i
$599$	−15.6035	+	27.0261i	−0.637542	+	1.10425i	0.348429	+	0.937335i	$0.386715\pi$
$599$	−15.6035	+	27.0261i	−0.637542	+	1.10425i	−0.985971	+	0.166920i	$0.946618\pi$
$600$	10.1997	+	4.76514i	0.416400	+	0.194536i
$601$	13.5248			0.551689			0.275845	−	0.961202i	$-0.411042\pi$
$601$	13.5248			0.551689			0.275845	+	0.961202i	$0.411042\pi$
$602$	28.9514	−	28.4682i	1.17997	−	1.16028i
$603$	−10.3129			−0.419972
$604$	−10.6032	−	28.8876i	−0.431439	−	1.17542i
$605$	−10.1023	+	19.2932i	−0.410718	+	0.784382i
$606$	−9.12490	−	6.37086i	−0.370674	−	0.258799i
$607$	−1.63270	+	6.09332i	−0.0662693	+	0.247320i	−0.991112	−	0.133029i	$-0.957530\pi$
$607$	−1.63270	+	6.09332i	−0.0662693	+	0.247320i	0.924843	+	0.380349i	$0.124196\pi$
$608$	6.77529	−	14.7912i	0.274774	−	0.599864i
$609$	−2.44231	+	13.1009i	−0.0989674	+	0.530877i
$610$	0.554642	−	12.4074i	0.0224568	−	0.502360i
$611$	−5.95338	+	22.2183i	−0.240848	+	0.898858i
$612$	0.635403	+	7.04218i	0.0256846	+	0.284663i
$613$	23.0448	−	39.9147i	0.930770	−	1.61214i	0.148761	−	0.988873i	$-0.452471\pi$
$613$	23.0448	−	39.9147i	0.930770	−	1.61214i	0.782009	−	0.623268i	$-0.214195\pi$
$614$	−37.2044	−	13.4840i	−1.50145	−	0.544172i
$615$	−0.480936	−	11.6568i	−0.0193932	−	0.470048i
$616$	2.82855	+	7.91133i	0.113966	+	0.318757i
$617$	7.05845	+	7.05845i	0.284163	+	0.284163i	0.834767	−	0.550604i	$-0.185603\pi$
$617$	7.05845	+	7.05845i	0.284163	+	0.284163i	−0.550604	+	0.834767i	$0.685603\pi$
$618$	−6.56198	+	3.07076i	−0.263961	+	0.123524i
$619$	−12.6179	−	47.0906i	−0.507156	−	1.89273i	−0.446981	−	0.894544i	$-0.647501\pi$
$619$	−12.6179	−	47.0906i	−0.507156	−	1.89273i	−0.0601750	−	0.998188i	$-0.519166\pi$
$620$	−37.6488	−	28.8698i	−1.51201	−	1.15944i
$621$	0.00249448		0.000668395i	0.000100100		2.68218e-5i
$622$	−6.54204	−	7.77501i	−0.262312	−	0.311750i
$623$	−23.1375	+	1.79658i	−0.926985	+	0.0719785i
$624$	20.0287	+	7.16680i	0.801791	+	0.286902i
$625$	−15.8852	−	19.3044i	−0.635408	−	0.772176i
$626$	16.8088	+	11.7356i	0.671813	+	0.469049i
$627$	1.28523	−	2.22608i	0.0513270	−	0.0889009i
$628$	2.75267	+	7.49941i	0.109843	+	0.299259i
$629$	−1.70609	+	1.70609i	−0.0680263	+	0.0680263i
$630$	18.9448	−	5.74882i	0.754781	−	0.229038i
$631$		−	11.4098i		−	0.454217i	−0.973869	−	0.227109i	$-0.927073\pi$
$631$		−	11.4098i		−	0.454217i	0.973869	−	0.227109i	$-0.0729272\pi$
$632$	−15.2935	+	26.7404i	−0.608344	+	1.06367i
$633$	−11.3469	+	3.04040i	−0.451000	+	0.120845i
$634$	−7.96837	+	1.41621i	−0.316464	+	0.0562447i
$635$	2.99150	−	13.3422i	0.118714	−	0.529471i
$636$	−2.78959	+	16.0759i	−0.110614	+	0.637452i
$637$	−29.3533	−	36.4040i	−1.16302	−	1.44238i
$638$	−7.68741	+	6.46833i	−0.304348	+	0.256084i
$639$	−11.0620	+	6.38665i	−0.437606	+	0.252652i
$640$	−24.1809	−	7.43548i	−0.955832	−	0.293913i
$641$	−8.22704	+	14.2497i	−0.324949	+	0.562828i	−0.981502	−	0.191452i	$-0.938680\pi$
$641$	−8.22704	+	14.2497i	−0.324949	+	0.562828i	0.656553	+	0.754280i	$0.272014\pi$
$642$	5.41852	+	1.96385i	0.213852	+	0.0775068i
$643$	18.4992			0.729537			0.364768	−	0.931098i	$-0.381148\pi$
$643$	18.4992			0.729537			0.364768	+	0.931098i	$0.381148\pi$
$644$	0.000533239		0.00315413i	2.10126e−5		0.000124290i
$645$	0.796272	+	19.2999i	0.0313532	+	0.759931i
$646$	5.71312	+	2.07062i	0.224780	+	0.0814673i
$647$	2.21852	+	8.27963i	0.0872190	+	0.325506i	0.995725	−	0.0923658i	$-0.0294429\pi$
$647$	2.21852	+	8.27963i	0.0872190	+	0.325506i	−0.908506	+	0.417871i	$0.862776\pi$
$648$	0.0426474	+	10.4602i	0.00167535	+	0.410916i
$649$	0.485462	−	0.280282i	0.0190561	−	0.0110020i
$650$	−33.2878	−	33.5175i	−1.30566	−	1.31466i
$651$	22.2766	−	1.72973i	0.873087	−	0.0677934i
$652$	−8.76664	−	1.52124i	−0.343328	−	0.0595763i
$653$	25.6780	−	14.8252i	1.00486	−	0.580154i	0.0951751	−	0.995461i	$-0.469659\pi$
$653$	25.6780	−	14.8252i	1.00486	−	0.580154i	0.909682	+	0.415306i	$0.136326\pi$
$654$	−6.04365	+	8.65625i	−0.236326	+	0.338486i
$655$	−21.1479	+	6.61216i	−0.826315	+	0.258359i
$656$	4.69281	+	25.7935i	0.183224	+	1.00707i
$657$	−22.0256	−	22.0256i	−0.859300	−	0.859300i
$658$	6.34740	+	11.2108i	0.247448	+	0.437044i
$659$	23.1647	−	23.1647i	0.902369	−	0.902369i	−0.0932717	−	0.995641i	$-0.529733\pi$
$659$	23.1647	−	23.1647i	0.902369	−	0.902369i	0.995641	+	0.0932717i	$0.0297325\pi$
$660$	−3.69324	−	1.52841i	−0.143759	−	0.0594931i
$661$	13.8878	−	3.72123i	0.540173	−	0.144739i	0.0215914	−	0.999767i	$-0.493127\pi$
$661$	13.8878	−	3.72123i	0.540173	−	0.144739i	0.518582	+	0.855028i	$0.326460\pi$
$662$	−6.48681	+	9.29097i	−0.252117	+	0.361104i
$663$	−2.05646	+	7.67480i	−0.0798662	+	0.298065i
$664$	20.5332	−	11.9667i	0.796842	−	0.464399i
$665$	2.42604	−	16.8408i	0.0940776	−	0.653060i
$666$	−4.13516	+	3.47940i	−0.160234	+	0.134824i
$667$	−0.00331269	+	0.00191258i	−0.000128268	+	7.40555e-5i
$668$	42.4855	−	3.83339i	1.64381	−	0.148318i
$669$	−4.50210	−	16.8021i	−0.174061	−	0.649605i
$670$	13.1397	+	4.15796i	0.507632	+	0.160636i
$671$			4.40951i			0.170227i
$672$	10.8129	−	5.00298i	0.417117	−	0.192994i
$673$	−3.67809	−	3.67809i	−0.141780	−	0.141780i	0.632654	−	0.774434i	$-0.281965\pi$
$673$	−3.67809	−	3.67809i	−0.141780	−	0.141780i	−0.774434	+	0.632654i	$0.781965\pi$
$674$	11.1841	+	23.8995i	0.430795	+	0.920574i
$675$	−9.11959	+	19.3146i	−0.351013	+	0.743418i
$676$	−48.5704	−	40.5309i	−1.86809	−	1.55888i
$677$	22.8631	+	39.6000i	0.878700	+	1.52195i	0.852769	+	0.522289i	$0.174922\pi$
$677$	22.8631	+	39.6000i	0.878700	+	1.52195i	0.0259311	+	0.999664i	$0.491745\pi$
$678$	1.38211	−	16.0488i	0.0530797	−	0.616351i
$679$	13.8404	+	39.2147i	0.531147	+	1.50492i
$680$	2.02971	−	9.22870i	0.0778358	−	0.353904i
$681$	7.73321	−	4.46477i	0.296337	−	0.171090i
$682$	13.8112	+	9.64277i	0.528859	+	0.369241i
$683$	15.3662	−	26.6150i	0.587971	−	1.01840i	−0.406527	−	0.913639i	$-0.633260\pi$
$683$	15.3662	−	26.6150i	0.587971	−	1.01840i	0.994498	−	0.104757i	$-0.0334064\pi$
$684$	12.3513	+	5.71870i	0.472265	+	0.218660i
$685$	−20.2403	+	21.9823i	−0.773343	+	0.839902i
$686$	−26.0179	−	3.01137i	−0.993368	−	0.114975i
$687$	−3.01722	+	3.01722i	−0.115114	+	0.115114i
$688$	−7.76975	−	42.7056i	−0.296219	−	1.62814i
$689$	34.2318	−	59.2912i	1.30413	−	2.25882i
$690$	−0.00128264		0.000819005i	−4.88291e−5		3.11790e-5i
$691$	−7.22112	−	1.93489i	−0.274704	−	0.0736068i	0.118837	−	0.992914i	$-0.462083\pi$
$691$	−7.22112	−	1.93489i	−0.274704	−	0.0736068i	−0.393541	+	0.919307i	$0.628750\pi$
$692$	6.04417	−	34.8315i	0.229765	−	1.32410i
$693$	−6.62832	+	2.33940i	−0.251789	+	0.0888665i
$694$	37.6552	−	31.6838i	1.42937	−	1.20270i
$695$	5.38026	−	23.9962i	0.204085	−	0.910229i
$696$	10.1150	+	10.0328i	0.383408	+	0.380294i
$697$	−9.45876	+	2.53447i	−0.358276	+	0.0959998i
$698$	−5.86185	+	2.74313i	−0.221874	+	0.103829i
$699$	−0.0889870	+	0.0889870i	−0.00336580	+	0.00336580i
$700$	−26.4557	−	0.313601i	−0.999930	−	0.0118530i
$701$	27.8151	+	27.8151i	1.05056	+	1.05056i	0.998652	+	0.0519096i	$0.0165308\pi$
$701$	27.8151	+	27.8151i	1.05056	+	1.05056i	0.0519096	+	0.998652i	$0.483469\pi$
$702$	−13.7522	+	37.9442i	−0.519043	+	1.43211i
$703$	1.20209	+	4.48625i	0.0453375	+	0.169202i
$704$	8.69450	+	2.25386i	0.327686	+	0.0849456i
$705$	−5.98040	−	1.34088i	−0.225235	−	0.0505005i
$706$	10.7929	+	0.929475i	0.406195	+	0.0349813i
$707$	25.7113	+	4.79317i	0.966974	+	0.180266i
$708$	−0.457712	−	0.649913i	−0.0172019	−	0.0244252i
$709$	4.89030	−	18.2508i	0.183659	−	0.685425i	−0.811255	−	0.584693i	$-0.801215\pi$
$709$	4.89030	−	18.2508i	0.183659	−	0.685425i	0.994914	−	0.100732i	$-0.0321184\pi$
$710$	16.6692	−	3.67729i	0.625584	−	0.138006i
$711$	−22.3190	−	12.8859i	−0.837027	−	0.483258i
$712$	−12.3171	+	21.5361i	−0.461601	+	0.807098i
$713$	0.00453490	+	0.00453490i	0.000169833	+	0.000169833i
$714$	2.19256	+	3.87252i	0.0820546	+	0.144926i
$715$	12.3381	+	11.3604i	0.461420	+	0.424855i
$716$	11.9755	−	25.8648i	0.447545	−	0.966614i
$717$	4.06727	+	2.34824i	0.151895	+	0.0876967i
$718$	39.1711	−	6.96183i	1.46185	−	0.259813i
$719$	15.9031	+	27.5449i	0.593084	+	1.02725i	0.993814	+	0.111055i	$0.0354231\pi$
$719$	15.9031	+	27.5449i	0.593084	+	1.02725i	−0.400730	+	0.916196i	$0.631244\pi$
$720$	6.30305	−	20.2045i	0.234901	−	0.752977i
$721$	11.0714	−	12.9355i	0.412321	−	0.481743i
$722$	−11.6095	+	9.76848i	−0.432062	+	0.363545i
$723$	−0.688701	+	0.397622i	−0.0256131	+	0.0147877i
$724$	2.39045	+	26.4934i	0.0888403	+	0.984618i
$725$	−10.6779	−	29.7809i	−0.396566	−	1.10604i
$726$	−10.3084	−	3.73610i	−0.382582	−	0.138660i
$727$	−33.2441	+	33.2441i	−1.23295	+	1.23295i	−0.270132	+	0.962823i	$0.587067\pi$
$727$	−33.2441	+	33.2441i	−1.23295	+	1.23295i	−0.962823	+	0.270132i	$0.912933\pi$
$728$	−49.8266	+	4.07337i	−1.84670	+	0.150969i
$729$	1.45065			0.0537279
$730$	19.1827	+	36.9433i	0.709983	+	1.36733i
$731$	15.6606	−	4.19624i	0.579228	−	0.155204i
$732$	6.22765	−	0.561910i	0.230181	−	0.0207688i
$733$	−9.47639	−	16.4136i	−0.350019	−	0.606250i	0.636234	−	0.771496i	$-0.280491\pi$
$733$	−9.47639	−	16.4136i	−0.350019	−	0.606250i	−0.986252	+	0.165246i	$0.947158\pi$
$734$	0.739147	−	8.58282i	0.0272824	−	0.316798i
$735$	9.36914	−	8.21436i	0.345586	−	0.302991i
$736$	0.00310910	+	0.00142416i	0.000114603	+	5.24951e-5i
$737$	−4.72640	−	1.26644i	−0.174099	−	0.0466497i
$738$	−21.5950	+	3.83806i	−0.794925	+	0.141281i
$739$	−5.02591	−	18.7569i	−0.184881	−	0.689985i	−0.994656	−	0.103245i	$-0.967078\pi$
$739$	−5.02591	−	18.7569i	−0.184881	−	0.689985i	0.809775	−	0.586741i	$-0.199589\pi$
$740$	6.67148	−	2.76591i	0.245248	−	0.101677i
$741$	10.8151	+	10.8151i	0.397303	+	0.397303i
$742$	−9.61243	−	37.1208i	−0.352883	−	1.36275i
$743$	−31.8508	+	31.8508i	−1.16849	+	1.16849i	−0.185932	+	0.982563i	$0.559530\pi$
$743$	−31.8508	+	31.8508i	−1.16849	+	1.16849i	−0.982563	+	0.185932i	$0.940470\pi$
$744$	11.8587	−	20.7347i	0.434762	−	0.760171i
$745$	−2.43725	−	7.79510i	−0.0892938	−	0.285591i
$746$	−15.3957	+	2.73625i	−0.563675	+	0.100181i
$747$	9.94140	+	17.2190i	0.363737	+	0.630011i
$748$	−0.573584	+	3.30547i	−0.0209723	+	0.120860i
$749$	−13.5042	+	1.04857i	−0.493431	+	0.0383139i
$750$	8.55747	−	9.23010i	0.312475	−	0.337036i
$751$	−11.4665	−	19.8605i	−0.418417	−	0.724720i	0.577363	−	0.816487i	$-0.304082\pi$
$751$	−11.4665	−	19.8605i	−0.418417	−	0.724720i	−0.995780	+	0.0917675i	$0.970748\pi$
$752$	13.7265	+	1.12575i	0.500552	+	0.0410521i
$753$	−9.24458	+	2.47708i	−0.336891	+	0.0902697i
$754$	−25.3379	−	54.1450i	−0.922751	−	1.97185i
$755$	−34.3750	+	1.41824i	−1.25103	+	0.0516151i
$756$	9.40831	+	20.5536i	0.342177	+	0.747526i
$757$		−	10.8698i		−	0.395068i	−0.980296	−	0.197534i	$-0.936707\pi$
$757$		−	10.8698i		−	0.395068i	0.980296	−	0.197534i	$-0.0632933\pi$
$758$	13.1106	−	6.13527i	0.476198	−	0.222843i
$759$	0.000467918	0	0.000270153i	1.69844e−5	0	9.80592e-6i
$760$	−13.4313	−	12.2661i	−0.487204	−	0.444938i
$761$	−20.3548	−	35.2555i	−0.737861	−	1.27801i	−0.953457	−	0.301530i	$-0.902503\pi$
$761$	−20.3548	−	35.2555i	−0.737861	−	1.27801i	0.215596	−	0.976483i	$-0.430831\pi$
$762$	6.85878	+	0.590674i	0.248467	+	0.0213979i
$763$	4.54700	−	24.3908i	0.164612	−	0.883006i
$764$	−3.58190	+	20.6419i	−0.129589	+	0.746797i
$765$	7.71386	+	1.72955i	0.278895	+	0.0625318i
$766$	17.3182	−	24.8046i	0.625730	−	0.896225i
$767$	0.863291	+	3.22185i	0.0311716	+	0.116334i
$768$	2.07523	−	12.5667i	0.0748834	−	0.453460i
$769$	−47.6039			−1.71664			−0.858320	−	0.513114i	$-0.828492\pi$
$769$	−47.6039			−1.71664			−0.858320	+	0.513114i	$0.828492\pi$
$770$	9.38842	−	0.308235i	0.338335	−	0.0111080i
$771$	−4.22707	−	4.22707i	−0.152234	−	0.152234i
$772$	18.6285	+	8.62504i	0.670454	+	0.310422i
$773$	41.7837	+	24.1238i	1.50285	+	0.867674i	0.999995	+	0.00330606i	$0.00105235\pi$
$773$	41.7837	+	24.1238i	1.50285	+	0.867674i	0.502860	+	0.864368i	$0.332281\pi$
$774$	35.7543	−	6.35456i	1.28516	−	0.228410i
$775$	−43.5962	+	30.2157i	−1.56602	+	1.08538i
$776$	42.9884	+	11.3311i	1.54320	+	0.406762i
$777$	−1.46750	+	3.06839i	−0.0526461	+	0.110078i
$778$	−1.56389	+	18.1595i	−0.0560681	+	0.651051i
$779$	−4.87875	+	18.2077i	−0.174799	+	0.652360i
$780$	14.4723	−	18.8731i	0.518191	−	0.675766i
$781$	−5.85402	+	1.56858i	−0.209473	+	0.0561282i
$782$	−0.000435241		0.00120089i	−1.55642e−5		4.29437e-5i
$783$	−19.1131	+	19.1131i	−0.683047	+	0.683047i
$784$	−18.2989	+	21.1931i	−0.653534	+	0.756898i
$785$	8.92398	−	0.368185i	0.318510	−	0.0131411i
$786$	−4.72828	−	10.1040i	−0.168652	−	0.360396i
$787$	−11.2764	−	6.51046i	−0.401962	−	0.232073i	0.285368	−	0.958418i	$-0.407884\pi$
$787$	−11.2764	−	6.51046i	−0.401962	−	0.232073i	−0.687330	+	0.726345i	$0.741217\pi$
$788$	−18.0529	+	21.6337i	−0.643107	+	0.770670i
$789$	13.4982	+	3.61684i	0.480550	+	0.128763i
$790$	23.2415	+	25.4166i	0.826895	+	0.904284i
$791$	12.5993	+	35.6982i	0.447981	+	1.26928i
$792$	−1.91525	+	7.26618i	−0.0680555	+	0.258193i
$793$	−25.3437	−	6.79083i	−0.899982	−	0.241149i
$794$	0.718243	+	4.04123i	0.0254895	+	0.143418i
$795$	16.1606	+	8.46202i	0.573158	+	0.300117i
$796$	1.93904	+	5.28274i	0.0687274	+	0.187242i
$797$		−	32.4250i		−	1.14855i	−0.818662	−	0.574276i	$-0.805284\pi$
$797$		−	32.4250i		−	1.14855i	0.818662	−	0.574276i	$-0.194716\pi$
$798$	8.56605	+	0.0720848i	0.303235	+	0.00255177i
$799$			5.14425i			0.181991i
$800$	−16.1769	+	23.2015i	−0.571939	+	0.820296i
$801$	−17.9752	−	10.3780i	−0.635122	−	0.366688i
$802$	13.4395	−	2.38858i	0.474564	−	0.0843436i
$803$	−7.38958	−	12.7991i	−0.260773	−	0.451671i
$804$	−1.18632	+	6.83659i	−0.0418384	+	0.241108i
$805$	0.00353992		0.000509950i	0.000124766		1.79734e-5i
$806$	−76.6918	+	64.5299i	−2.70135	+	2.27297i
$807$	−1.95394	+	7.29220i	−0.0687819	+	0.256698i
$808$	19.6900	−	19.8512i	0.692693	−	0.698364i
$809$	−9.27863	+	16.0711i	−0.326219	+	0.565028i	−0.981758	−	0.190133i	$-0.939108\pi$
$809$	−9.27863	+	16.0711i	−0.326219	+	0.565028i	0.655539	+	0.755161i	$0.272441\pi$
$810$	11.1500	+	3.52834i	0.391772	+	0.123973i
$811$	−22.2054	−	22.2054i	−0.779739	−	0.779739i	0.200048	−	0.979786i	$-0.435890\pi$
$811$	−22.2054	−	22.2054i	−0.779739	−	0.779739i	−0.979786	+	0.200048i	$0.935890\pi$
$812$	−31.3810	−	11.6732i	−1.10126	−	0.409648i
$813$			16.7696i			0.588134i
$814$	−2.32242	+	1.08681i	−0.0814009	+	0.0380926i
$815$	−4.61457	+	8.81283i	−0.161641	+	0.308700i
$816$	4.74148	+	0.388866i	0.165985	+	0.0136130i
$817$	8.07761	−	30.1460i	0.282600	−	1.05468i
$818$	−17.6830	+	14.8788i	−0.618272	+	0.520225i
$819$	−3.23785	−	41.6991i	−0.113140	−	1.45709i
$820$	29.0619	+	3.81663i	1.01489	+	0.133283i
$821$	−25.0046	−	6.69996i	−0.872667	−	0.233830i	−0.205426	−	0.978673i	$-0.565858\pi$
$821$	−25.0046	−	6.69996i	−0.872667	−	0.233830i	−0.667241	+	0.744842i	$0.732525\pi$
$822$	−12.3353	−	8.61230i	−0.430242	−	0.300388i
$823$	−7.38143	−	27.5479i	−0.257300	−	0.960258i	−0.966796	−	0.255549i	$-0.917744\pi$
$823$	−7.38143	−	27.5479i	−0.257300	−	0.960258i	0.709496	−	0.704710i	$-0.248923\pi$
$824$	−4.78271	−	17.5626i	−0.166614	−	0.611821i
$825$	−2.88887	+	3.40947i	−0.100577	+	0.118702i
$826$	1.60995	+	0.947656i	0.0560172	+	0.0329732i
$827$			25.6434i			0.891708i	0.895106	+	0.445854i	$0.147100\pi$
$827$			25.6434i			0.891708i	−0.895106	+	0.445854i	$0.852900\pi$
$828$	−0.00120206	+	0.00259624i	−4.17746e−5	+	9.02254e-5i
$829$	−2.39897	+	0.642803i	−0.0833198	+	0.0223255i	−0.300238	−	0.953864i	$-0.597066\pi$
$829$	−2.39897	+	0.642803i	−0.0833198	+	0.0223255i	0.216918	+	0.976190i	$0.430399\pi$
$830$	−5.72404	−	25.9471i	−0.198684	−	0.900638i
$831$	5.18589	−	2.99408i	0.179897	−	0.103863i
$832$	−26.3440	+	46.5007i	−0.913314	+	1.61212i
$833$	−8.44814	−	6.16501i	−0.292711	−	0.213605i
$834$	12.3356	+	1.06234i	0.427148	+	0.0367857i
$835$	10.4343	−	46.5377i	0.361095	−	1.61051i
$836$	4.95837	+	4.13765i	0.171489	+	0.143104i
$837$	39.2473	+	22.6595i	1.35659	+	0.783225i
$838$	1.11519	−	0.521869i	0.0385237	−	0.0180277i
$839$			29.6638i			1.02411i	0.858953	+	0.512054i	$0.171115\pi$
$839$			29.6638i			1.02411i	−0.858953	+	0.512054i	$0.828885\pi$
$840$	−1.63171	−	13.2202i	−0.0562992	−	0.456140i
$841$		−	11.0368i		−	0.380581i
$842$	−18.7623	−	40.0936i	−0.646592	−	1.38172i
$843$	−6.51651	−	3.76231i	−0.224441	−	0.129581i
$844$	−2.65219	−	29.3942i	−0.0912921	−	1.01179i
$845$	−59.7414	+	37.8583i	−2.05517	+	1.30237i
$846$	−0.988634	+	11.4798i	−0.0339899	+	0.394684i
$847$	25.6909	−	1.99484i	0.882749	−	0.0685436i
$848$	−38.5962	−	13.8107i	−1.32540	−	0.474262i
$849$	−9.68078	+	5.58920i	−0.332244	+	0.191821i
$850$	−9.13099	−	5.31373i	−0.313191	−	0.182259i
$851$	−0.000943003	0	0.000252677i	−3.23257e−5	0	8.66165e-6i
$852$	2.96133	+	8.06788i	0.101453	+	0.276401i
$853$			31.9211i			1.09296i	0.837473	+	0.546479i	$0.184032\pi$
$853$			31.9211i			1.09296i	−0.837473	+	0.546479i	$0.815968\pi$
$854$	−12.7878	+	7.24028i	−0.437591	+	0.247757i
$855$	10.3077	−	11.1949i	0.352516	−	0.382856i
$856$	−7.18881	+	12.5695i	−0.245709	+	0.429615i
$857$	−5.52077	−	20.6038i	−0.188586	−	0.703812i	−0.993834	−	0.110874i	$-0.964635\pi$
$857$	−5.52077	−	20.6038i	−0.188586	−	0.703812i	0.805249	−	0.592937i	$-0.202032\pi$
$858$	−4.83387	+	6.92349i	−0.165026	+	0.236364i
$859$	5.29424	+	1.41859i	0.180637	+	0.0484016i	0.348004	−	0.937493i	$-0.386860\pi$
$859$	5.29424	+	1.41859i	0.180637	+	0.0484016i	−0.167366	+	0.985895i	$0.553526\pi$
$860$	−48.1170	−	6.31908i	−1.64077	−	0.215479i
$861$	−11.3846	+	7.80690i	−0.387988	+	0.266059i
$862$	−23.4946	−	27.9226i	−0.800228	−	0.951047i
$863$	−4.29537	+	16.0305i	−0.146216	+	0.545686i	0.853482	+	0.521122i	$0.174486\pi$
$863$	−4.29537	+	16.0305i	−0.146216	+	0.545686i	−0.999698	+	0.0245639i	$0.992180\pi$
$864$	23.8261	+	4.03445i	0.810581	+	0.137255i
$865$	−35.0150	−	18.3346i	−1.19055	−	0.623394i
$866$	8.18646	+	17.4938i	0.278187	+	0.594464i
$867$		−	11.7559i		−	0.399253i
$868$	−5.28704	+	55.8865i	−0.179454	+	1.89691i
$869$	−8.64642	−	8.64642i	−0.293310	−	0.293310i
$870$	14.1363	−	7.34022i	0.479265	−	0.248857i
$871$	14.5577	−	25.2147i	0.493269	−	0.854367i
$872$	−18.8317	−	18.6787i	−0.637721	−	0.632542i
$873$	−9.62628	+	35.9258i	−0.325800	+	1.21590i
$874$	0.00158305	+	0.00188141i	5.35475e−5	+	6.36396e-5i
$875$	−9.37244	+	28.0563i	−0.316846	+	0.948477i
$876$	−17.1348	+	12.0675i	−0.578933	+	0.407722i
$877$	20.6460	+	35.7599i	0.697165	+	1.20753i	0.969445	+	0.245308i	$0.0788890\pi$
$877$	20.6460	+	35.7599i	0.697165	+	1.20753i	−0.272280	+	0.962218i	$0.587778\pi$
$878$	1.11706	+	6.28519i	0.0376989	+	0.212115i
$879$	−7.20117	−	4.15760i	−0.242890	−	0.140232i
$880$	5.36984	−	8.48573i	0.181017	−	0.286054i
$881$		−	6.33400i		−	0.213398i	−0.994291	−	0.106699i	$-0.965972\pi$
$881$		−	6.33400i		−	0.213398i	0.994291	−	0.106699i	$-0.0340281\pi$
$882$	−17.6679	−	15.3813i	−0.594909	−	0.517915i
$883$		−	33.0247i		−	1.11137i	−0.831393	−	0.555684i	$-0.812456\pi$
$883$		−	33.0247i		−	1.11137i	0.831393	−	0.555684i	$-0.187544\pi$
$884$	−18.1149	−	8.38724i	−0.609270	−	0.282094i
$885$	−0.848245	+	0.265215i	−0.0285134	+	0.00891511i
$886$	2.92405	−	0.519688i	0.0982355	−	0.0174593i
$887$	26.3775	+	7.06783i	0.885670	+	0.237314i	0.672852	−	0.739777i	$-0.265069\pi$
$887$	26.3775	+	7.06783i	0.885670	+	0.237314i	0.212818	+	0.977092i	$0.431736\pi$
$888$	1.83087	+	3.14152i	0.0614401	+	0.105422i
$889$	−15.2564	+	5.38458i	−0.511682	+	0.180593i
$890$	18.7182	+	20.4700i	0.627434	+	0.686155i
$891$	−4.01070	−	1.07466i	−0.134363	−	0.0360026i
$892$	43.5257	−	3.92725i	1.45735	−	0.131494i
$893$	8.57580	+	4.95124i	0.286978	+	0.165687i
$894$	3.72432	−	1.74285i	0.124560	−	0.0582895i
$895$	−23.4431	−	21.5853i	−0.783615	−	0.721516i
$896$	7.73976	+	28.9153i	0.258567	+	0.965993i
$897$	−0.00227332	+	0.00227332i	−7.59040e−5	+	7.59040e-5i
$898$	−34.8918	−	12.6459i	−1.16435	−	0.421999i
$899$	−64.8390	+	17.3736i	−2.16250	+	0.579440i
$900$	−19.3553	−	13.6128i	−0.645178	−	0.453760i
$901$	3.96288	−	14.7897i	0.132023	−	0.492715i
$902$	−10.3684	−	0.892917i	−0.345229	−	0.0297309i
$903$	18.8492	−	12.9257i	0.627263	−	0.430139i
$904$	39.1336	+	10.3150i	1.30156	+	0.343071i
$905$	29.0203	+	6.50672i	0.964668	+	0.216291i
$906$	−3.03102	−	17.0542i	−0.100699	−	0.566587i
$907$	0.936684	+	0.540795i	0.0311021	+	0.0179568i	0.515470	−	0.856907i	$-0.327617\pi$
$907$	0.936684	+	0.540795i	0.0311021	+	0.0179568i	−0.484368	+	0.874864i	$0.660951\pi$
$908$	7.73034	+	21.0606i	0.256540	+	0.698922i
$909$	16.5405	+	16.5405i	0.548614	+	0.548614i
$910$	−12.6870	+	54.4348i	−0.420569	+	1.80449i
$911$	−43.2692			−1.43357			−0.716786	−	0.697293i	$-0.754388\pi$
$911$	−43.2692			−1.43357			−0.716786	+	0.697293i	$0.754388\pi$
$912$	5.21185	−	7.53009i	0.172582	−	0.249346i
$913$	2.44164	+	9.11232i	0.0808064	+	0.301574i
$914$	−5.16214	−	3.60412i	−0.170748	−	0.119214i
$915$	1.52950	−	6.82165i	0.0505637	−	0.225517i
$916$	−6.17279	−	8.76486i	−0.203955	−	0.289599i
$917$	19.9178	+	17.0475i	0.657742	+	0.562957i
$918$	−0.774455	+	8.99281i	−0.0255608	+	0.296807i
$919$	−1.71053	−	2.96273i	−0.0564252	−	0.0977314i	0.836433	−	0.548069i	$-0.184637\pi$
$919$	−1.71053	−	2.96273i	−0.0564252	−	0.0977314i	−0.892858	+	0.450338i	$0.851304\pi$
$920$	0.00257832	−	0.00282324i	8.50047e−5	−	9.30795e-5i
$921$	−19.2908	−	11.1376i	−0.635655	−	0.366996i
$922$	−3.35008	−	7.15886i	−0.110329	−	0.235765i
$923$		−	36.0617i		−	1.18699i
$924$	0.788354	+	4.66314i	0.0259349	+	0.153406i
$925$	−0.665148	−	8.04712i	−0.0218699	−	0.264588i
$926$	−28.9359	+	13.5409i	−0.950892	+	0.444982i
$927$	14.7093	−	3.94134i	0.483116	−	0.129451i
$928$	−29.1802	+	20.7291i	−0.957886	+	0.680466i
$929$	14.0217	+	24.2863i	0.460037	+	0.796808i	0.998962	−	0.0455457i	$-0.0145027\pi$
$929$	14.0217	+	24.2863i	0.460037	+	0.796808i	−0.538925	+	0.842354i	$0.681169\pi$
$930$	−18.0217	−	19.7083i	−0.590953	−	0.646260i
$931$	−18.4087	+	8.14990i	−0.603319	+	0.267102i
$932$	−0.182055	−	0.258503i	−0.00596340	−	0.00846754i
$933$	−2.85983	−	4.95337i	−0.0936266	−	0.162166i
$934$	6.95031	+	39.1063i	0.227421	+	1.27960i
$935$	3.32288	+	1.73993i	0.108670	+	0.0569017i
$936$	−38.8129	−	22.1982i	−1.26864	−	0.725570i
$937$	−0.240037	+	0.240037i	−0.00784167	+	0.00784167i	−0.711017	−	0.703175i	$-0.751765\pi$
$937$	−0.240037	+	0.240037i	−0.00784167	+	0.00784167i	0.703175	+	0.711017i	$0.251765\pi$
$938$	−4.08786	−	15.7863i	−0.133473	−	0.515441i
$939$	8.15963	+	8.15963i	0.266279	+	0.266279i
$940$	5.88808	−	14.2279i	0.192048	−	0.464064i
$941$	2.88312	+	10.7599i	0.0939869	+	0.350764i	0.996864	−	0.0791350i	$-0.0252158\pi$
$941$	2.88312	+	10.7599i	0.0939869	+	0.350764i	−0.902877	+	0.429899i	$0.858549\pi$
$942$	0.786872	+	4.42738i	0.0256377	+	0.144252i
$943$	−0.00382725	−	0.00102551i	−0.000124632	−	3.33951e-5i
$944$	1.80540	−	0.853853i	0.0587609	−	0.0277905i
$945$	25.0947	−	2.99350i	0.816332	−	0.0973787i
$946$	17.1666	+	1.47838i	0.558134	+	0.0480662i
$947$	−2.10323	−	3.64290i	−0.0683458	−	0.118378i	0.829827	−	0.558020i	$-0.188439\pi$
$947$	−2.10323	−	3.64290i	−0.0683458	−	0.118378i	−0.898173	+	0.439642i	$0.855105\pi$
$948$	−11.1097	+	13.3134i	−0.360827	+	0.432398i
$949$	84.9434	−	22.7605i	2.75738	−	0.738838i
$950$	−17.6467	+	10.1076i	−0.572536	+	0.327934i
$951$	−4.55564			−0.147727
$952$	−10.5279	+	3.76405i	−0.341210	+	0.121993i
$953$	31.0302	−	31.0302i	1.00517	−	1.00517i	0.00518088	−	0.999987i	$-0.498351\pi$
$953$	31.0302	−	31.0302i	1.00517	−	1.00517i	0.999987	−	0.00518088i	$-0.00164913\pi$
$954$	11.6858	−	32.2427i	0.378341	−	1.04390i
$955$	20.7506	+	10.8654i	0.671475	+	0.351597i
$956$	−7.55993	+	9.05946i	−0.244505	+	0.293004i
$957$	−4.89756	+	2.82761i	−0.158316	+	0.0914036i
$958$	22.2022	+	26.3866i	0.717320	+	0.852514i
$959$	34.7573	+	6.47954i	1.12237	+	0.209235i
$960$	−12.6689	−	6.50260i	−0.408886	−	0.209870i
$961$	40.7723	+	70.6198i	1.31524	+	2.27806i
$962$	−2.66982	−	15.0219i	−0.0860785	−	0.484325i
$963$	−10.4912	−	6.05708i	−0.338073	−	0.195187i
$964$	−0.688445	−	1.87561i	−0.0221733	−	0.0604093i
$965$	15.5462	−	16.8843i	0.500451	−	0.543524i
$966$	−1.51521e−5		0.00180057i	−4.87512e−7		5.79325e-5i
$967$	−2.49566	−	2.49566i	−0.0802550	−	0.0802550i	0.665840	−	0.746095i	$-0.268073\pi$
$967$	−2.49566	−	2.49566i	−0.0802550	−	0.0802550i	−0.746095	+	0.665840i	$0.768073\pi$
$968$	13.6763	−	23.9127i	0.439573	−	0.768583i
$969$	2.96231	+	1.71029i	0.0951631	+	0.0549425i
$970$	26.7496	−	41.8922i	0.858877	−	1.34508i
$971$	12.0117	−	44.8284i	0.385475	−	1.43861i	−0.451943	−	0.892047i	$-0.649269\pi$
$971$	12.0117	−	44.8284i	0.385475	−	1.43861i	0.837418	−	0.546564i	$-0.184064\pi$
$972$	−5.38886	+	31.0551i	−0.172848	+	0.996093i
$973$	−27.4388	+	9.68427i	−0.879648	+	0.310463i
$974$	−1.13468	+	13.1756i	−0.0363574	+	0.422175i
$975$	−15.1470	−	21.8545i	−0.485092	−	0.699905i
$976$	−1.28411	+	15.6573i	−0.0411034	+	0.501179i
$977$	−13.1224	−	48.9736i	−0.419824	−	1.56681i	−0.774972	−	0.631995i	$-0.782236\pi$
$977$	−13.1224	−	48.9736i	−0.419824	−	1.56681i	0.355148	−	0.934810i	$-0.384430\pi$
$978$	−4.70872	−	1.70659i	−0.150568	−	0.0545707i
$979$	−6.96362	−	6.96362i	−0.222558	−	0.222558i
$980$	16.3094	+	26.7209i	0.520984	+	0.853566i
$981$	15.6910	−	15.6910i	0.500975	−	0.500975i
$982$	−12.8980	−	27.5621i	−0.411593	−	0.879541i
$983$	53.3062	−	14.2833i	1.70020	−	0.455568i	0.727212	−	0.686413i	$-0.240816\pi$
$983$	53.3062	−	14.2833i	1.70020	−	0.455568i	0.972991	+	0.230845i	$0.0741489\pi$
$984$	0.0601669	+	14.7573i	0.00191805	+	0.470444i
$985$	16.8625	+	26.6095i	0.537284	+	0.847848i
$986$	−8.60761	−	10.2299i	−0.274122	−	0.325786i
$987$	2.41354	+	6.83837i	0.0768237	+	0.217668i
$988$	−31.4173	+	22.1262i	−0.999518	+	0.703927i
$989$	0.00633666	+	0.00169790i	0.000201494	+	5.39902e-5i
$990$	7.08090	+	4.52138i	0.225046	+	0.143699i
$991$	29.3073	−	50.7618i	0.930978	−	1.61250i	0.149325	−	0.988788i	$-0.452290\pi$
$991$	29.3073	−	50.7618i	0.930978	−	1.61250i	0.781653	−	0.623713i	$-0.214377\pi$
$992$	46.2329	+	38.2616i	1.46789	+	1.21481i
$993$	−4.51020	+	4.51020i	−0.143127	+	0.143127i
$994$	−14.1611	−	14.4014i	−0.449162	−	0.456786i
$995$	6.28624	−	0.259357i	0.199287	−	0.00822218i
$996$	12.5584	−	4.60958i	0.397928	−	0.146060i
$997$	23.1064	−	40.0214i	0.731786	−	1.26749i	−0.224334	−	0.974512i	$-0.572021\pi$
$997$	23.1064	−	40.0214i	0.731786	−	1.26749i	0.956119	−	0.292978i	$-0.0946462\pi$
$998$	33.4548	−	47.9169i	1.05899	−	1.51678i
$999$	−5.97443	+	3.44934i	−0.189023	+	0.109132i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	560.2.ch.c.493.37	yes	360
5.2	odd	4		560.2.cz.c.157.11	yes	360
7.5	odd	6	inner	560.2.ch.c.173.85	yes	360
16.5	even	4		560.2.cz.c.213.51	yes	360
35.12	even	12		560.2.cz.c.397.51	yes	360
80.37	odd	4	inner	560.2.ch.c.437.85	yes	360
112.5	odd	12		560.2.cz.c.453.11	yes	360
560.117	even	12	inner	560.2.ch.c.117.37	✓	360

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
560.2.ch.c.117.37	✓	360	560.117	even	12	inner
560.2.ch.c.173.85	yes	360	7.5	odd	6	inner
560.2.ch.c.437.85	yes	360	80.37	odd	4	inner
560.2.ch.c.493.37	yes	360	1.1	even	1	trivial
560.2.cz.c.157.11	yes	360	5.2	odd	4
560.2.cz.c.213.51	yes	360	16.5	even	4
560.2.cz.c.397.51	yes	360	35.12	even	12
560.2.cz.c.453.11	yes	360	112.5	odd	12

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:	\( N \)	\(=\)	\( 560 = 2^{4} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	560.ch (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.481883 + 1.32958i) q^{2} +(-0.398026 + 0.689402i) q^{3} +(-1.53558 - 1.28141i) q^{4} +(-1.88876 + 1.19691i) q^{5} +(-0.724815 - 0.861420i) q^{6} +(2.38682 + 1.14153i) q^{7} +(2.44370 - 1.42419i) q^{8} +(1.18315 + 2.04928i) q^{9} +(-0.681232 - 3.08803i) q^{10} +(0.290585 + 1.08448i) q^{11} +(1.49460 - 0.548597i) q^{12} -6.68057 q^{13} +(-2.66792 + 2.62339i) q^{14} +(-0.0733779 - 1.77852i) q^{15} +(0.715996 + 3.93540i) q^{16} +(-1.44315 + 0.386691i) q^{17} +(-3.29482 + 0.585584i) q^{18} +(-0.744366 + 2.77801i) q^{19} +(4.43406 + 0.582315i) q^{20} +(-1.73699 + 1.19112i) q^{21} +(-1.58193 - 0.136235i) q^{22} +(-0.000583934 - 0.000156465i) q^{23} +(0.00917984 + 2.25156i) q^{24} +(2.13481 - 4.52135i) q^{25} +(3.21925 - 8.88237i) q^{26} -4.27186 q^{27} +(-2.20239 - 4.81139i) q^{28} +(4.47419 - 4.47419i) q^{29} +(2.40004 + 0.759474i) q^{30} +(-9.18741 - 5.30435i) q^{31} +(-5.57746 - 0.944425i) q^{32} +(-0.863302 - 0.231321i) q^{33} +(0.181292 - 2.10513i) q^{34} +(-5.87443 + 0.700749i) q^{35} +(0.809136 - 4.66292i) q^{36} +(1.39856 - 0.807457i) q^{37} +(-3.33490 - 2.32837i) q^{38} +(2.65904 - 4.60560i) q^{39} +(-2.91093 + 5.61484i) q^{40} +6.55424 q^{41} +(-0.746670 - 2.88345i) q^{42} -10.8517 q^{43} +(0.943442 - 2.03766i) q^{44} +(-4.68748 - 2.45446i) q^{45} +(0.000489421 - 0.000700991i) q^{46} +(0.891149 - 3.32581i) q^{47} +(-2.99806 - 1.07278i) q^{48} +(4.39384 + 5.44924i) q^{49} +(4.98278 + 5.01716i) q^{50} +(0.307827 - 1.14882i) q^{51} +(10.2585 + 8.56052i) q^{52} +(-5.12408 + 8.87517i) q^{53} +(2.05854 - 5.67979i) q^{54} +(-1.84687 - 1.70051i) q^{55} +(7.45843 - 0.609734i) q^{56} +(-1.61889 - 1.61889i) q^{57} +(3.79277 + 8.10485i) q^{58} +(-0.129224 - 0.482271i) q^{59} +(-2.16632 + 2.82508i) q^{60} +(3.79365 + 1.01650i) q^{61} +(11.4798 - 9.65934i) q^{62} +(0.484667 + 6.24185i) q^{63} +(3.94337 - 6.96059i) q^{64} +(12.6180 - 7.99605i) q^{65} +(0.723571 - 1.03636i) q^{66} +(-2.17911 + 3.77433i) q^{67} +(2.71158 + 1.25547i) q^{68} +(0.000340288 - 0.000340288i) q^{69} +(1.89909 - 8.14822i) q^{70} +5.39800i q^{71} +(5.80982 + 3.32279i) q^{72} +(-12.7150 + 3.40697i) q^{73} +(0.399640 + 2.24859i) q^{74} +(2.26732 + 3.27136i) q^{75} +(4.70279 - 3.31202i) q^{76} +(-0.544385 + 2.92017i) q^{77} +(4.84217 + 5.75478i) q^{78} +(-9.43202 + 5.44558i) q^{79} +(-6.06266 - 6.57602i) q^{80} +(-1.84914 + 3.20280i) q^{81} +(-3.15838 + 8.71440i) q^{82} +8.40249 q^{83} +(4.19359 + 0.396727i) q^{84} +(2.26293 - 2.45769i) q^{85} +(5.22923 - 14.4282i) q^{86} +(1.30367 + 4.86537i) q^{87} +(2.25461 + 2.23630i) q^{88} +(-7.59633 + 4.38574i) q^{89} +(5.52222 - 5.04963i) q^{90} +(-15.9453 - 7.62604i) q^{91} +(0.000696181 + 0.000988521i) q^{92} +(7.31367 - 4.22255i) q^{93} +(3.99251 + 2.78751i) q^{94} +(-1.91911 - 6.13793i) q^{95} +(2.87107 - 3.46921i) q^{96} +(11.1142 + 11.1142i) q^{97} +(-9.36252 + 3.21607i) q^{98} +(-1.87859 + 1.87859i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 360 q + 2 q^{2} - 6 q^{5} + 8 q^{7} - 4 q^{8} - 164 q^{9} - 6 q^{10} - 2 q^{11} + 18 q^{12} + 4 q^{14} - 32 q^{15} - 20 q^{16} + 4 q^{18} + 30 q^{19} - 4 q^{21} - 16 q^{22} + 10 q^{23} + 12 q^{24} + 12 q^{25}+ \cdots - 4 q^{99}+O(q^{100}) \) 360 * q + 2 * q^2 - 6 * q^5 + 8 * q^7 - 4 * q^8 - 164 * q^9 - 6 * q^10 - 2 * q^11 + 18 * q^12 + 4 * q^14 - 32 * q^15 - 20 * q^16 + 4 * q^18 + 30 * q^19 - 4 * q^21 - 16 * q^22 + 10 * q^23 + 12 * q^24 + 12 * q^25 + 10 * q^28 - 8 * q^29 + 58 * q^30 - 24 * q^31 - 38 * q^32 - 12 * q^35 + 16 * q^36 - 24 * q^38 - 28 * q^39 - 96 * q^40 - 6 * q^42 - 24 * q^43 + 20 * q^44 + 36 * q^45 - 4 * q^46 - 6 * q^47 - 64 * q^50 + 16 * q^51 - 108 * q^52 + 32 * q^53 - 24 * q^54 - 8 * q^56 + 80 * q^57 + 2 * q^58 + 84 * q^59 + 8 * q^60 - 48 * q^61 + 58 * q^63 - 36 * q^65 - 108 * q^66 - 4 * q^67 + 84 * q^68 + 72 * q^70 + 36 * q^72 - 52 * q^74 - 54 * q^75 - 52 * q^77 + 96 * q^78 - 120 * q^80 - 124 * q^81 - 150 * q^82 + 28 * q^84 - 4 * q^85 + 8 * q^86 + 20 * q^88 + 48 * q^89 + 28 * q^91 + 84 * q^92 - 72 * q^94 - 26 * q^95 - 60 * q^96 + 26 * q^98 - 4 * q^99

Introduction

L-functions

Modular forms

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