LMFDB - Embedded newform 350.2.x.a.47.5

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [350,2,Mod(3,350)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(350, base_ring=CyclotomicField(60)) chi = DirichletCharacter(H, H._module([21, 10])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("350.3"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 350 = 2 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	350.x (of order $60$, degree $16$, minimal)

Newform invariants

comment:select newform

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

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

Self dual:	no
Analytic conductor:	$2.79476407074$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$20$ over $\Q(\zeta_{60})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label			47.5
Character	$\chi$	$=$	350.47
Dual form			350.2.x.a.283.5

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.0523360 + 0.998630i) q^{2} +(-0.158245 + 0.128145i) q^{3} +(-0.994522 - 0.104528i) q^{4} +(-1.20544 - 1.88333i) q^{5} +(-0.119687 - 0.164735i) q^{6} +(0.823629 + 2.51429i) q^{7} +(0.156434 - 0.987688i) q^{8} +(-0.615115 + 2.89389i) q^{9} +(1.94383 - 1.10522i) q^{10} +(-4.28914 + 0.911686i) q^{11} +(0.170773 - 0.110901i) q^{12} +(-1.59973 + 3.13965i) q^{13} +(-2.55395 + 0.690913i) q^{14} +(0.432093 + 0.143558i) q^{15} +(0.978148 + 0.207912i) q^{16} +(3.12803 - 1.20074i) q^{17} +(-2.85773 - 0.765726i) q^{18} +(0.644356 + 6.13064i) q^{19} +(1.00197 + 1.99901i) q^{20} +(-0.452528 - 0.292331i) q^{21} +(-0.685960 - 4.33098i) q^{22} +(-5.32627 - 0.279138i) q^{23} +(0.101812 + 0.176343i) q^{24} +(-2.09384 + 4.54047i) q^{25} +(-3.05162 - 1.76185i) q^{26} +(-0.550827 - 1.08106i) q^{27} +(-0.556303 - 2.58661i) q^{28} +(0.478555 - 0.658674i) q^{29} +(-0.165975 + 0.423988i) q^{30} +(-0.875987 + 1.96750i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(0.561910 - 0.693901i) q^{33} +(1.03539 + 3.18659i) q^{34} +(3.74239 - 4.58198i) q^{35} +(0.914238 - 2.81374i) q^{36} +(-4.88758 - 7.52622i) q^{37} +(-6.15596 + 0.322620i) q^{38} +(-0.149179 - 0.701831i) q^{39} +(-2.04871 + 0.895979i) q^{40} +(10.9054 - 3.54337i) q^{41} +(0.315613 - 0.436608i) q^{42} +(5.14766 - 5.14766i) q^{43} +(4.36095 - 0.458354i) q^{44} +(6.19162 - 2.32994i) q^{45} +(0.557511 - 5.30436i) q^{46} +(-0.179032 + 0.466396i) q^{47} +(-0.181430 + 0.0924433i) q^{48} +(-5.64327 + 4.14168i) q^{49} +(-4.42466 - 2.32860i) q^{50} +(-0.341129 + 0.590852i) q^{51} +(1.91915 - 2.95523i) q^{52} +(1.91535 + 2.36525i) q^{53} +(1.10840 - 0.493494i) q^{54} +(6.88730 + 6.97888i) q^{55} +(2.61218 - 0.420168i) q^{56} +(-0.887575 - 0.887575i) q^{57} +(0.632726 + 0.512371i) q^{58} +(-5.51741 + 6.12770i) q^{59} +(-0.414720 - 0.187937i) q^{60} +(-1.23366 + 1.11079i) q^{61} +(-1.91896 - 0.977757i) q^{62} +(-7.78268 + 0.836915i) q^{63} +(-0.951057 - 0.309017i) q^{64} +(7.84135 - 0.771833i) q^{65} +(0.663542 + 0.597456i) q^{66} +(-1.25653 - 3.27338i) q^{67} +(-3.23641 + 0.867193i) q^{68} +(0.878628 - 0.638360i) q^{69} +(4.37984 + 3.97706i) q^{70} +(12.1015 + 8.79222i) q^{71} +(2.76203 + 1.06024i) q^{72} +(2.61118 + 1.69572i) q^{73} +(7.77170 - 4.48699i) q^{74} +(-0.250495 - 0.986822i) q^{75} -6.16441i q^{76} +(-5.82490 - 10.0332i) q^{77} +(0.708677 - 0.112243i) q^{78} +(6.08802 + 13.6739i) q^{79} +(-0.787530 - 2.09280i) q^{80} +(-7.88258 - 3.50955i) q^{81} +(2.96777 + 11.0759i) q^{82} +(7.78498 + 1.23302i) q^{83} +(0.419492 + 0.338031i) q^{84} +(-6.03203 - 4.44369i) q^{85} +(4.87120 + 5.41001i) q^{86} +(0.00867644 + 0.165556i) q^{87} +(0.229491 + 4.37896i) q^{88} +(-2.00757 - 2.22963i) q^{89} +(2.00270 + 6.30507i) q^{90} +(-9.21155 - 1.43627i) q^{91} +(5.26791 + 0.834355i) q^{92} +(-0.113503 - 0.423601i) q^{93} +(-0.456387 - 0.203196i) q^{94} +(10.7693 - 8.60364i) q^{95} +(-0.0828213 - 0.186020i) q^{96} +(9.90743 - 1.56918i) q^{97} +(-3.84066 - 5.85229i) q^{98} -12.9731i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100}) $ 320 * q + 12 * q^5 - 8 * q^7 + 12 * q^10 - 16 * q^15 - 40 * q^16 + 36 * q^17 + 8 * q^18 - 72 * q^22 + 44 * q^23 - 12 * q^25 - 24 * q^28 - 80 * q^29 + 20 * q^30 - 48 * q^33 - 28 * q^35 + 80 * q^36 - 4 * q^37 - 24 * q^38 - 40 * q^39 - 36 * q^42 + 88 * q^43 - 228 * q^45 - 12 * q^47 + 32 * q^50 - 52 * q^53 + 152 * q^57 + 32 * q^58 - 120 * q^59 - 8 * q^60 + 136 * q^63 + 8 * q^65 - 32 * q^67 - 144 * q^68 + 92 * q^70 + 8 * q^72 + 12 * q^73 - 432 * q^75 + 144 * q^77 - 16 * q^78 + 12 * q^80 - 40 * q^81 - 192 * q^82 + 60 * q^84 - 24 * q^85 + 24 * q^87 + 4 * q^88 - 300 * q^89 - 8 * q^92 - 68 * q^93 + 20 * q^95 - 40 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/350\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{17}{20}\right)$

Coefficient data

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

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

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

$2$	−0.0523360	+	0.998630i	−0.0370071	+	0.706138i
$2$	−0.0523360	+	0.998630i	−0.0370071	+	0.706138i
$3$	−0.158245	+	0.128145i	−0.0913630	+	0.0739843i	−0.673914	−	0.738810i	$-0.735388\pi$
$3$	−0.158245	+	0.128145i	−0.0913630	+	0.0739843i	0.582551	+	0.812794i	$0.302055\pi$
$4$	−0.994522	−	0.104528i	−0.497261	−	0.0522642i
$5$	−1.20544	−	1.88333i	−0.539088	−	0.842249i
$5$	−1.20544	−	1.88333i	−0.539088	−	0.842249i
$6$	−0.119687	−	0.164735i	−0.0488620	−	0.0672528i
$7$	0.823629	+	2.51429i	0.311303	+	0.950311i
$7$	0.823629	+	2.51429i	0.311303	+	0.950311i
$8$	0.156434	−	0.987688i	0.0553079	−	0.349201i
$9$	−0.615115	+	2.89389i	−0.205038	+	0.964629i
$10$	1.94383	−	1.10522i	0.614694	−	0.349501i
$11$	−4.28914	+	0.911686i	−1.29323	+	0.274884i	−0.802616	−	0.596496i	$-0.796559\pi$
$11$	−4.28914	+	0.911686i	−1.29323	+	0.274884i	−0.490610	+	0.871379i	$0.663226\pi$
$12$	0.170773	−	0.110901i	0.0492980	−	0.0320145i
$13$	−1.59973	+	3.13965i	−0.443685	+	0.870781i	0.555543	+	0.831488i	$0.312511\pi$
$13$	−1.59973	+	3.13965i	−0.443685	+	0.870781i	−0.999228	+	0.0392929i	$0.987489\pi$
$14$	−2.55395	+	0.690913i	−0.682571	+	0.184654i
$15$	0.432093	+	0.143558i	0.111566	+	0.0370664i
$16$	0.978148	+	0.207912i	0.244537	+	0.0519779i
$17$	3.12803	−	1.20074i	0.758659	−	0.291222i	0.0518774	−	0.998653i	$-0.483479\pi$
$17$	3.12803	−	1.20074i	0.758659	−	0.291222i	0.706782	+	0.707431i	$0.250146\pi$
$18$	−2.85773	−	0.765726i	−0.673573	−	0.180483i
$19$	0.644356	+	6.13064i	0.147825	+	1.40647i	0.777146	+	0.629320i	$0.216666\pi$
$19$	0.644356	+	6.13064i	0.147825	+	1.40647i	−0.629321	+	0.777146i	$0.716667\pi$
$20$	1.00197	+	1.99901i	0.224048	+	0.446993i
$21$	−0.452528	−	0.292331i	−0.0987496	−	0.0637918i
$22$	−0.685960	−	4.33098i	−0.146247	−	0.923368i
$23$	−5.32627	−	0.279138i	−1.11060	−	0.0582043i	−0.511803	−	0.859103i	$-0.671022\pi$
$23$	−5.32627	−	0.279138i	−1.11060	−	0.0582043i	−0.598800	+	0.800898i	$0.704356\pi$
$24$	0.101812	+	0.176343i	0.0207823	+	0.0359959i
$25$	−2.09384	+	4.54047i	−0.418768	+	0.908093i
$26$	−3.05162	−	1.76185i	−0.598472	−	0.345528i
$27$	−0.550827	−	1.08106i	−0.106007	−	0.208050i
$28$	−0.556303	−	2.58661i	−0.105131	−	0.488822i
$29$	0.478555	−	0.658674i	0.0888654	−	0.122313i	−0.762269	−	0.647260i	$-0.775915\pi$
$29$	0.478555	−	0.658674i	0.0888654	−	0.122313i	0.851135	+	0.524947i	$0.175915\pi$
$30$	−0.165975	+	0.423988i	−0.0303027	+	0.0774092i
$31$	−0.875987	+	1.96750i	−0.157332	+	0.353373i	−0.974962	−	0.222370i	$-0.928621\pi$
$31$	−0.875987	+	1.96750i	−0.157332	+	0.353373i	0.817630	+	0.575743i	$0.195287\pi$
$32$	−0.258819	+	0.965926i	−0.0457532	+	0.170753i
$33$	0.561910	−	0.693901i	0.0978159	−	0.120793i
$34$	1.03539	+	3.18659i	0.177567	+	0.546495i
$35$	3.74239	−	4.58198i	0.632579	−	0.774496i
$36$	0.914238	−	2.81374i	0.152373	−	0.468956i
$37$	−4.88758	−	7.52622i	−0.803514	−	1.23730i	−0.968007	−	0.250924i	$-0.919265\pi$
$37$	−4.88758	−	7.52622i	−0.803514	−	1.23730i	0.164493	−	0.986378i	$-0.447401\pi$
$38$	−6.15596	+	0.322620i	−0.998629	+	0.0523359i
$39$	−0.149179	−	0.701831i	−0.0238877	−	0.112383i
$40$	−2.04871	+	0.895979i	−0.323930	+	0.141667i
$41$	10.9054	−	3.54337i	1.70313	−	0.553382i	0.713967	−	0.700179i	$-0.246897\pi$
$41$	10.9054	−	3.54337i	1.70313	−	0.553382i	0.989167	+	0.146797i	$0.0468966\pi$
$42$	0.315613	−	0.436608i	0.0487002	−	0.0673701i
$43$	5.14766	−	5.14766i	0.785011	−	0.785011i	−0.195661	−	0.980672i	$-0.562685\pi$
$43$	5.14766	−	5.14766i	0.785011	−	0.785011i	0.980672	+	0.195661i	$0.0626852\pi$
$44$	4.36095	−	0.458354i	0.657437	−	0.0690994i
$45$	6.19162	−	2.32994i	0.922992	−	0.347326i
$46$	0.557511	−	5.30436i	0.0822005	−	0.782085i
$47$	−0.179032	+	0.466396i	−0.0261146	+	0.0680308i	−0.946018	−	0.324115i	$-0.894934\pi$
$47$	−0.179032	+	0.466396i	−0.0261146	+	0.0680308i	0.919903	+	0.392145i	$0.128267\pi$
$48$	−0.181430	+	0.0924433i	−0.0261872	+	0.0133430i
$49$	−5.64327	+	4.14168i	−0.806181	+	0.591668i
$50$	−4.42466	−	2.32860i	−0.625741	−	0.329314i
$51$	−0.341129	+	0.590852i	−0.0477676	+	0.0827358i
$52$	1.91915	−	2.95523i	0.266138	−	0.409817i
$53$	1.91535	+	2.36525i	0.263093	+	0.324893i	0.891525	−	0.452972i	$-0.149636\pi$
$53$	1.91535	+	2.36525i	0.263093	+	0.324893i	−0.628432	+	0.777865i	$0.716303\pi$
$54$	1.10840	−	0.493494i	0.150835	−	0.0671560i
$55$	6.88730	+	6.97888i	0.928683	+	0.941032i
$56$	2.61218	−	0.420168i	0.349067	−	0.0561473i
$57$	−0.887575	−	0.887575i	−0.117562	−	0.117562i
$58$	0.632726	+	0.512371i	0.0830809	+	0.0672776i
$59$	−5.51741	+	6.12770i	−0.718305	+	0.797759i	−0.986177	−	0.165696i	$-0.947013\pi$
$59$	−5.51741	+	6.12770i	−0.718305	+	0.797759i	0.267872	+	0.963455i	$0.413680\pi$
$60$	−0.414720	−	0.187937i	−0.0535401	−	0.0242626i
$61$	−1.23366	+	1.11079i	−0.157954	+	0.142222i	−0.744318	−	0.667825i	$-0.767225\pi$
$61$	−1.23366	+	1.11079i	−0.157954	+	0.142222i	0.586364	+	0.810047i	$0.300559\pi$
$62$	−1.91896	−	0.977757i	−0.243708	−	0.124175i
$63$	−7.78268	+	0.836915i	−0.980526	+	0.105441i
$64$	−0.951057	−	0.309017i	−0.118882	−	0.0386271i
$65$	7.84135	−	0.771833i	0.972600	−	0.0957341i
$66$	0.663542	+	0.597456i	0.0816763	+	0.0735417i
$67$	−1.25653	−	3.27338i	−0.153510	−	0.399907i	0.835161	−	0.550005i	$-0.185374\pi$
$67$	−1.25653	−	3.27338i	−0.153510	−	0.399907i	−0.988671	+	0.150098i	$0.952041\pi$
$68$	−3.23641	+	0.867193i	−0.392472	+	0.105163i
$69$	0.878628	−	0.638360i	0.105774	−	0.0768495i
$70$	4.37984	+	3.97706i	0.523491	+	0.475350i
$71$	12.1015	+	8.79222i	1.43618	+	1.04344i	0.988824	+	0.149088i	$0.0476338\pi$
$71$	12.1015	+	8.79222i	1.43618	+	1.04344i	0.447355	+	0.894357i	$0.352366\pi$
$72$	2.76203	+	1.06024i	0.325509	+	0.124951i
$73$	2.61118	+	1.69572i	0.305616	+	0.198469i	0.688330	−	0.725397i	$-0.258344\pi$
$73$	2.61118	+	1.69572i	0.305616	+	0.198469i	−0.382714	+	0.923867i	$0.625011\pi$
$74$	7.77170	−	4.48699i	0.903442	−	0.521602i
$75$	−0.250495	−	0.986822i	−0.0289247	−	0.113948i
$76$		−	6.16441i		−	0.707106i
$77$	−5.82490	−	10.0332i	−0.663809	−	1.14339i
$78$	0.708677	−	0.112243i	0.0802418	−	0.0127091i
$79$	6.08802	+	13.6739i	0.684955	+	1.53843i	0.835296	+	0.549800i	$0.185296\pi$
$79$	6.08802	+	13.6739i	0.684955	+	1.53843i	−0.150341	+	0.988634i	$0.548037\pi$
$80$	−0.787530	−	2.09280i	−0.0880485	−	0.233982i
$81$	−7.88258	−	3.50955i	−0.875842	−	0.389950i
$82$	2.96777	+	11.0759i	0.327736	+	1.22313i
$83$	7.78498	+	1.23302i	0.854513	+	0.135342i	0.568297	−	0.822824i	$-0.307603\pi$
$83$	7.78498	+	1.23302i	0.854513	+	0.135342i	0.286216	+	0.958165i	$0.407603\pi$
$84$	0.419492	+	0.338031i	0.0457703	+	0.0368822i
$85$	−6.03203	−	4.44369i	−0.654266	−	0.481986i
$86$	4.87120	+	5.41001i	0.525275	+	0.583377i
$87$	0.00867644	+	0.165556i	0.000930212	+	0.0177495i
$88$	0.229491	+	4.37896i	0.0244639	+	0.466798i
$89$	−2.00757	−	2.22963i	−0.212802	−	0.236340i	0.627288	−	0.778787i	$-0.284165\pi$
$89$	−2.00757	−	2.22963i	−0.212802	−	0.236340i	−0.840090	+	0.542447i	$0.817498\pi$
$90$	2.00270	+	6.30507i	0.211103	+	0.664613i
$91$	−9.21155	−	1.43627i	−0.965633	−	0.150562i
$92$	5.26791	+	0.834355i	0.549218	+	0.0869876i
$93$	−0.113503	−	0.423601i	−0.0117698	−	0.0439253i
$94$	−0.456387	−	0.203196i	−0.0470727	−	0.0209581i
$95$	10.7693	−	8.60364i	1.10490	−	0.882715i
$96$	−0.0828213	−	0.186020i	−0.00845291	−	0.0189855i
$97$	9.90743	−	1.56918i	1.00595	−	0.159326i	0.368343	−	0.929690i	$-0.379925\pi$
$97$	9.90743	−	1.56918i	1.00595	−	0.159326i	0.637605	+	0.770364i	$0.279925\pi$
$98$	−3.84066	−	5.85229i	−0.387965	−	0.591171i
$99$		−	12.9731i		−	1.30384i
$100$	2.55698	−	4.29673i	0.255698	−	0.429673i
$101$	4.32348	−	2.49616i	0.430202	−	0.248377i	−0.269231	−	0.963076i	$-0.586769\pi$
$101$	4.32348	−	2.49616i	0.430202	−	0.248377i	0.699433	+	0.714698i	$0.253436\pi$
$102$	−0.572189	−	0.371584i	−0.0566552	−	0.0367923i
$103$	−4.13554	−	1.58748i	−0.407486	−	0.156419i	0.145986	−	0.989287i	$-0.453364\pi$
$103$	−4.13554	−	1.58748i	−0.407486	−	0.156419i	−0.553473	+	0.832867i	$0.686698\pi$
$104$	2.85074	+	2.07118i	0.279538	+	0.203096i
$105$	−0.00506027	+	1.20464i	−0.000493832	+	0.117561i
$106$	−2.46225	+	1.78893i	−0.239155	+	0.173757i
$107$	−4.55740	+	1.22115i	−0.440580	+	0.118053i	−0.472289	−	0.881444i	$-0.656572\pi$
$107$	−4.55740	+	1.22115i	−0.440580	+	0.118053i	0.0317082	+	0.999497i	$0.489905\pi$
$108$	0.434808	+	1.13271i	0.0418394	+	0.108995i
$109$	−5.92695	−	5.33665i	−0.567699	−	0.511159i	0.334548	−	0.942379i	$-0.391417\pi$
$109$	−5.92695	−	5.33665i	−0.567699	−	0.511159i	−0.902247	+	0.431220i	$0.858083\pi$
$110$	−7.32977	+	6.51261i	−0.698866	+	0.620953i
$111$	1.73788	+	0.564672i	0.164952	+	0.0535963i
$112$	0.282881	+	2.63059i	0.0267298	+	0.248567i
$113$	−9.41411	−	4.79673i	−0.885605	−	0.451238i	−0.0488440	−	0.998806i	$-0.515554\pi$
$113$	−9.41411	−	4.79673i	−0.885605	−	0.451238i	−0.836761	+	0.547568i	$0.815554\pi$
$114$	0.932811	−	0.839906i	0.0873657	−	0.0786644i
$115$	5.89478	+	10.3676i	0.549691	+	0.966783i
$116$	−0.544783	+	0.605043i	−0.0505819	+	0.0561768i
$117$	−8.10176	−	6.56068i	−0.749008	−	0.606535i
$118$	−5.83054	−	5.83054i	−0.536745	−	0.536745i
$119$	5.59534	+	6.87581i	0.512924	+	0.630304i
$120$	0.209384	−	0.404316i	0.0191141	−	0.0369088i
$121$	7.51659	−	3.34660i	0.683326	−	0.304237i
$122$	−1.04470	−	1.29010i	−0.0945830	−	0.116800i
$123$	−1.27166	+	1.95819i	−0.114662	+	0.176564i
$124$	1.07685	−	1.86515i	0.0967038	−	0.167496i
$125$	11.0752	−	1.52986i	0.990594	−	0.136835i
$126$	−0.428454	−	7.81582i	−0.0381697	−	0.696289i
$127$	6.49981	−	3.31182i	0.576765	−	0.293876i	−0.141172	−	0.989985i	$-0.545087\pi$
$127$	6.49981	−	3.31182i	0.576765	−	0.293876i	0.717936	+	0.696109i	$0.245087\pi$
$128$	0.358368	−	0.933580i	0.0316756	−	0.0825176i
$129$	−0.154949	+	1.47424i	−0.0136425	+	0.129799i
$130$	0.360390	+	7.87100i	0.0316083	+	0.690332i
$131$	16.9451	−	1.78100i	1.48050	−	0.155607i	0.670445	−	0.741959i	$-0.266103\pi$
$131$	16.9451	−	1.78100i	1.48050	−	0.155607i	0.810056	+	0.586352i	$0.199436\pi$
$132$	−0.631364	+	0.631364i	−0.0549532	+	0.0549532i
$133$	−14.8835	+	6.66947i	−1.29056	+	0.578316i
$134$	3.33466	−	1.08350i	0.288071	−	0.0935998i
$135$	−1.37200	+	2.34053i	−0.118083	+	0.201441i
$136$	−0.696624	−	3.27736i	−0.0597350	−	0.281031i
$137$	−7.76971	+	0.407193i	−0.663811	+	0.0347889i	−0.381266	−	0.924465i	$-0.624512\pi$
$137$	−7.76971	+	0.407193i	−0.663811	+	0.0347889i	−0.282545	+	0.959254i	$0.591179\pi$
$138$	0.591502	+	0.910833i	0.0503520	+	0.0775352i
$139$	−6.46940	+	19.9108i	−0.548727	+	1.68881i	0.163232	+	0.986588i	$0.447808\pi$
$139$	−6.46940	+	19.9108i	−0.548727	+	1.68881i	−0.711959	+	0.702221i	$0.752192\pi$
$140$	−4.20084	+	4.16569i	−0.355035	+	0.352065i
$141$	−0.0314350	−	0.0967470i	−0.00264730	−	0.00814757i
$142$	−9.41351	+	11.6247i	−0.789965	+	0.975525i
$143$	3.99910	−	14.9248i	0.334422	−	1.24808i
$144$	−1.20335	+	2.70276i	−0.100279	+	0.225230i
$145$	−1.81737	−	0.107285i	−0.150924	−	0.00890951i
$146$	−1.83006	+	2.51886i	−0.151457	+	0.208462i
$147$	0.362288	−	1.37856i	0.0298810	−	0.113701i
$148$	4.07410	+	7.99588i	0.334889	+	0.657257i
$149$	−18.6564	−	10.7713i	−1.52839	−	0.882418i	−0.999430	−	0.0337726i	$-0.989248\pi$
$149$	−18.6564	−	10.7713i	−1.52839	−	0.882418i	−0.528963	−	0.848645i	$-0.677419\pi$
$150$	0.998580	−	0.198506i	0.0815337	−	0.0162079i
$151$	1.57041	+	2.72004i	0.127799	+	0.221354i	0.922823	−	0.385223i	$-0.125876\pi$
$151$	1.57041	+	2.72004i	0.127799	+	0.221354i	−0.795025	+	0.606577i	$0.792542\pi$
$152$	6.15596	+	0.322620i	0.499314	+	0.0261680i
$153$	1.55070	+	9.79076i	0.125367	+	0.791536i
$154$	10.3243	−	5.29182i	0.831960	−	0.426427i
$155$	4.76139	−	0.721927i	0.382444	−	0.0579865i
$156$	0.0750003	+	0.713580i	0.00600483	+	0.0571321i
$157$	−7.66632	−	2.05418i	−0.611839	−	0.163942i	−0.0604237	−	0.998173i	$-0.519245\pi$
$157$	−7.66632	−	2.05418i	−0.611839	−	0.163942i	−0.551415	+	0.834231i	$0.685912\pi$
$158$	−13.9738	+	5.36403i	−1.11169	+	0.426740i
$159$	−0.606189	−	0.128850i	−0.0480739	−	0.0102184i
$160$	2.13114	−	0.676922i	0.168482	−	0.0535154i
$161$	−3.68504	−	13.6217i	−0.290422	−	1.07354i
$162$	3.91728	−	7.68810i	0.307771	−	0.604034i
$163$	2.49989	−	1.62345i	0.195807	−	0.127158i	−0.443012	−	0.896516i	$-0.646090\pi$
$163$	2.49989	−	1.62345i	0.195807	−	0.127158i	0.638819	+	0.769357i	$0.279423\pi$
$164$	−11.2160	+	2.38404i	−0.875824	+	0.186162i
$165$	−1.98419	−	0.221806i	−0.154469	−	0.0172676i
$166$	−1.63876	+	7.70978i	−0.127193	+	0.598395i
$167$	0.790442	−	4.99065i	0.0611662	−	0.386188i	−0.938046	−	0.346510i	$-0.887367\pi$
$167$	0.790442	−	4.99065i	0.0611662	−	0.386188i	0.999213	−	0.0396783i	$-0.0126333\pi$
$168$	−0.359522	+	0.401226i	−0.0277378	+	0.0309552i
$169$	0.342969	+	0.472056i	0.0263822	+	0.0363120i
$170$	4.75330	−	5.79120i	0.364561	−	0.444165i
$171$	−18.1377	−	1.90635i	−1.38703	−	0.145782i
$172$	−5.65754	+	4.58138i	−0.431383	+	0.349327i
$173$	0.0222571	−	0.424691i	0.00169218	−	0.0322887i	−0.997653	−	0.0684735i	$-0.978187\pi$
$173$	0.0222571	−	0.424691i	0.00169218	−	0.0322887i	0.999345	+	0.0361848i	$0.0115205\pi$
$174$	−0.165784			−0.0125680
$175$	−13.1406	−	1.52486i	−0.993334	−	0.115268i
$176$	−4.38497			−0.330529
$177$	0.0878724	−	1.67671i	0.00660490	−	0.126029i
$178$	2.33164	−	1.88813i	0.174764	−	0.141521i
$179$	−7.00793	−	0.736563i	−0.523797	−	0.0550533i	−0.161060	−	0.986945i	$-0.551491\pi$
$179$	−7.00793	−	0.736563i	−0.523797	−	0.0550533i	−0.362738	+	0.931891i	$0.618158\pi$
$180$	−6.40124	+	1.66997i	−0.477120	+	0.124472i
$181$	−1.63018	−	2.24375i	−0.121170	−	0.166777i	0.744123	−	0.668043i	$-0.232868\pi$
$181$	−1.63018	−	2.24375i	−0.121170	−	0.166777i	−0.865293	+	0.501266i	$0.832868\pi$
$182$	1.91640	−	9.12376i	0.142053	−	0.676298i
$183$	0.0528789	−	0.333864i	0.00390892	−	0.0246799i
$184$	−1.10891	+	5.21703i	−0.0817502	+	0.384604i
$185$	−8.28265	+	18.2773i	−0.608953	+	1.34377i
$186$	0.428960	−	0.0911783i	0.0314529	−	0.00668552i
$187$	−12.3219	+	8.00193i	−0.901066	+	0.585159i
$188$	0.226803	−	0.445127i	0.0165413	−	0.0324642i
$189$	2.26441	−	2.27533i	0.164712	−	0.165506i
$190$	8.02823	+	11.2048i	0.582429	+	0.812881i
$191$	−2.91480	−	0.619561i	−0.210908	−	0.0448298i	0.101246	−	0.994861i	$-0.467717\pi$
$191$	−2.91480	−	0.619561i	−0.210908	−	0.0448298i	−0.312154	+	0.950032i	$0.601050\pi$
$192$	0.190099	−	0.0729722i	0.0137192	−	0.00526632i
$193$	22.1830	+	5.94392i	1.59677	+	0.427853i	0.944064	−	0.329761i	$-0.106968\pi$
$193$	22.1830	+	5.94392i	1.59677	+	0.427853i	0.652703	+	0.757614i	$0.273635\pi$
$194$	1.04852	+	9.97598i	0.0752792	+	0.716233i
$195$	−1.14195	+	1.12697i	−0.0817769	+	0.0807037i
$196$	6.04528	−	3.52911i	0.431806	−	0.252079i
$197$	−1.43207	−	9.04175i	−0.102031	−	0.644198i	−0.984707	−	0.174217i	$-0.944261\pi$
$197$	−1.43207	−	9.04175i	−0.102031	−	0.644198i	0.882676	−	0.469981i	$-0.155739\pi$
$198$	12.9553	+	0.678959i	0.920694	+	0.0482515i
$199$	7.48590	+	12.9660i	0.530661	+	0.919132i	0.999360	+	0.0357740i	$0.0113897\pi$
$199$	7.48590	+	12.9660i	0.530661	+	0.919132i	−0.468699	+	0.883358i	$0.655277\pi$
$200$	4.15702	+	2.77835i	0.293945	+	0.196459i
$201$	0.618307	+	0.356980i	0.0436120	+	0.0251794i
$202$	2.26647	+	4.44819i	0.159468	+	0.312974i
$203$	2.05025	+	0.660720i	0.143899	+	0.0463735i
$204$	0.401021	−	0.551958i	0.0280771	−	0.0386448i
$205$	−19.8191	−	16.2671i	−1.38422	−	1.13614i
$206$	1.80174	−	4.04679i	0.125534	−	0.281953i
$207$	4.08406	−	15.2419i	0.283862	−	1.05939i
$208$	−2.21754	+	2.73843i	−0.153759	+	0.189876i
$209$	−8.35296	−	25.7078i	−0.577786	−	1.77824i
$210$	−1.20273	−	0.0680995i	−0.0829961	−	0.00469931i
$211$	−3.30333	+	10.1666i	−0.227411	+	0.699898i	0.770627	+	0.637286i	$0.219943\pi$
$211$	−3.30333	+	10.1666i	−0.227411	+	0.699898i	−0.998038	+	0.0626120i	$0.980057\pi$
$212$	−1.65762	−	2.55251i	−0.113846	−	0.175307i
$213$	−3.04168	+	0.159407i	−0.208412	+	0.0109224i
$214$	−0.980962	−	4.61506i	−0.0670572	−	0.315479i
$215$	−15.8999	−	3.48955i	−1.08436	−	0.237985i
$216$	−1.15392	+	0.374930i	−0.0785141	+	0.0255108i
$217$	−5.66834	−	0.581992i	−0.384792	−	0.0395082i
$218$	5.63953	−	5.63953i	0.381957	−	0.381957i
$219$	−0.630505	+	0.0662688i	−0.0426056	+	0.00447803i
$220$	−6.12008	−	7.66057i	−0.412615	−	0.516475i
$221$	−1.23411	+	11.7418i	−0.0830152	+	0.789837i
$222$	−0.654852	+	1.70595i	−0.0439508	+	0.114496i
$223$	−5.94799	+	3.03065i	−0.398307	+	0.202947i	−0.641658	−	0.766991i	$-0.721753\pi$
$223$	−5.94799	+	3.03065i	−0.398307	+	0.202947i	0.243351	+	0.969938i	$0.421753\pi$
$224$	−2.64178	+	0.144820i	−0.176512	+	0.00967616i
$225$	−11.8516	−	8.85224i	−0.790109	−	0.590150i
$226$	5.28285	−	9.15017i	0.351410	−	0.608660i
$227$	−6.87668	+	10.5892i	−0.456421	+	0.702827i	−0.989707	−	0.143108i	$-0.954290\pi$
$227$	−6.87668	+	10.5892i	−0.456421	+	0.702827i	0.533286	+	0.845935i	$0.320957\pi$
$228$	0.789936	+	0.975489i	0.0523148	+	0.0646034i
$229$	16.7603	−	7.46219i	1.10755	−	0.493115i	0.230290	−	0.973122i	$-0.426032\pi$
$229$	16.7603	−	7.46219i	1.10755	−	0.493115i	0.877265	+	0.480007i	$0.159366\pi$
$230$	−10.6619	+	5.34410i	−0.703024	+	0.352379i
$231$	2.20747	+	0.841285i	0.145241	+	0.0553525i
$232$	−0.575702	−	0.575702i	−0.0377967	−	0.0377967i
$233$	22.4291	+	18.1628i	1.46938	+	1.18988i	0.939848	+	0.341592i	$0.110966\pi$
$233$	22.4291	+	18.1628i	1.46938	+	1.18988i	0.529533	+	0.848289i	$0.322367\pi$
$234$	6.97570	−	7.74730i	0.456016	−	0.506457i
$235$	1.09419	−	0.225034i	0.0713769	−	0.0146796i
$236$	6.12770	−	5.51741i	0.398879	−	0.359152i
$237$	−2.71564	−	1.38369i	−0.176400	−	0.0898801i
$238$	−7.15922	+	5.22782i	−0.464063	+	0.338869i
$239$	−22.9723	−	7.46415i	−1.48595	−	0.482816i	−0.550068	−	0.835120i	$-0.685398\pi$
$239$	−22.9723	−	7.46415i	−1.48595	−	0.482816i	−0.935885	+	0.352304i	$0.885398\pi$
$240$	0.392804	+	0.230258i	0.0253554	+	0.0148631i
$241$	20.9801	+	18.8906i	1.35145	+	1.21685i	0.954211	+	0.299134i	$0.0966978\pi$
$241$	20.9801	+	18.8906i	1.35145	+	1.21685i	0.397238	+	0.917716i	$0.369969\pi$
$242$	2.94863	+	7.68144i	0.189545	+	0.493781i
$243$	5.21298	−	1.39682i	0.334413	−	0.0896057i
$244$	1.34301	−	0.975753i	0.0859773	−	0.0624662i
$245$	14.6027	+	5.63559i	0.932935	+	0.360045i
$246$	−1.88895	−	1.37240i	−0.120435	−	0.0875012i
$247$	−20.2788	−	7.78431i	−1.29031	−	0.495304i
$248$	1.80624	+	1.17299i	0.114696	+	0.0744847i
$249$	−1.38994	+	0.802484i	−0.0880840	+	0.0508553i
$250$	0.948132	+	11.1401i	0.0599652	+	0.704560i
$251$			18.4083i			1.16192i	0.813931	+	0.580961i	$0.197323\pi$
$251$			18.4083i			1.16192i	−0.813931	+	0.580961i	$0.802677\pi$
$252$	7.82753	−	0.0188185i	0.493088	−	0.00118545i
$253$	23.0996	−	3.65862i	1.45226	−	0.230016i
$254$	2.96711	+	6.66423i	0.186173	+	0.418151i
$255$	1.52398	−	0.0697785i	0.0954351	−	0.00436970i
$256$	0.913545	+	0.406737i	0.0570966	+	0.0254210i
$257$	6.51812	+	24.3260i	0.406589	+	1.51741i	0.801106	+	0.598522i	$0.204245\pi$
$257$	6.51812	+	24.3260i	0.406589	+	1.51741i	−0.394517	+	0.918889i	$0.629088\pi$
$258$	−1.46411	−	0.231892i	−0.0911514	−	0.0144370i
$259$	14.8975	−	18.4876i	0.925686	−	1.14876i
$260$	−7.87908	−	0.0520400i	−0.488639	−	0.00322739i
$261$	1.61176	+	1.79004i	0.0997655	+	0.110801i
$262$	0.891724	+	17.0151i	0.0550909	+	1.05120i
$263$	0.853782	+	16.2911i	0.0526465	+	1.00455i	0.889445	+	0.457043i	$0.151091\pi$
$263$	0.853782	+	16.2911i	0.0526465	+	1.00455i	−0.836798	+	0.547512i	$0.815575\pi$
$264$	−0.597456	−	0.663542i	−0.0367709	−	0.0408382i
$265$	2.14572	−	6.45839i	0.131810	−	0.396736i
$266$	−5.88139	−	15.2121i	−0.360611	−	0.932716i
$267$	0.603404	+	0.0955697i	0.0369277	+	0.00584877i
$268$	0.907488	+	3.38679i	0.0554337	+	0.206881i
$269$	16.2349	+	7.22823i	0.989858	+	0.440713i	0.836803	−	0.547504i	$-0.184422\pi$
$269$	16.2349	+	7.22823i	0.989858	+	0.440713i	0.153055	+	0.988218i	$0.451089\pi$
$270$	−2.26552	−	1.49261i	−0.137875	−	0.0908375i
$271$	−6.83695	−	15.3560i	−0.415315	−	0.932813i	−0.993170	−	0.116674i	$-0.962777\pi$
$271$	−6.83695	−	15.3560i	−0.415315	−	0.932813i	0.577855	−	0.816139i	$-0.303890\pi$
$272$	3.30933	−	0.524146i	0.200657	−	0.0317810i
$273$	1.64174	−	0.953127i	0.0993624	−	0.0576859i
$274$		−	7.78037i		−	0.470030i
$275$	4.84131	−	21.3836i	0.291942	−	1.28948i
$276$	−0.940541	+	0.543022i	−0.0566139	+	0.0326861i
$277$	14.0467	+	9.12202i	0.843983	+	0.548089i	0.892663	−	0.450725i	$-0.148835\pi$
$277$	14.0467	+	9.12202i	0.843983	+	0.548089i	−0.0486796	+	0.998814i	$0.515501\pi$
$278$	−19.5449	−	7.50258i	−1.17222	−	0.449975i
$279$	−5.15488	−	3.74524i	−0.308615	−	0.224222i
$280$	−3.94013	−	4.41309i	−0.235468	−	0.263733i
$281$	−15.8564	+	11.5204i	−0.945916	+	0.687248i	−0.949837	−	0.312744i	$-0.898752\pi$
$281$	−15.8564	+	11.5204i	−0.945916	+	0.687248i	0.00392127	+	0.999992i	$0.498752\pi$
$282$	0.0982596	−	0.0263286i	0.00585127	−	0.00156784i
$283$	10.1709	+	26.4961i	0.604598	+	1.57503i	0.803688	+	0.595051i	$0.202868\pi$
$283$	10.1709	+	26.4961i	0.604598	+	1.57503i	−0.199090	+	0.979981i	$0.563799\pi$
$284$	−11.1161	−	10.0090i	−0.659621	−	0.593925i
$285$	−0.601678	+	2.74151i	−0.0356403	+	0.162393i
$286$	14.6951	+	4.77473i	0.868939	+	0.282335i
$287$	17.8910	+	24.5008i	1.05607	+	1.44624i
$288$	−2.63608	−	1.34315i	−0.155332	−	0.0791457i
$289$	−4.29065	+	3.86332i	−0.252391	+	0.227254i
$290$	0.202251	−	1.80926i	0.0118766	−	0.106243i
$291$	−1.36672	+	1.51790i	−0.0801187	+	0.0889809i
$292$	−2.41963	−	1.95938i	−0.141598	−	0.114664i
$293$	−23.0053	−	23.0053i	−1.34398	−	1.34398i	−0.892054	−	0.451929i	$-0.850736\pi$
$293$	−23.0053	−	23.0053i	−1.34398	−	1.34398i	−0.451929	−	0.892054i	$-0.649264\pi$
$294$	1.35771	+	0.433939i	0.0791830	+	0.0253079i
$295$	18.1913	+	3.00452i	1.05914	+	0.174930i
$296$	−8.19814	+	3.65005i	−0.476507	+	0.212155i
$297$	3.34816	+	4.13463i	0.194280	+	0.239916i
$298$	11.7329	−	18.0671i	0.679670	−	1.04660i
$299$	9.39698	−	16.2761i	0.543441	−	0.941268i
$300$	0.145972	+	1.00760i	0.00842770	+	0.0581738i
$301$	17.1825	+	8.70293i	0.990380	+	0.501628i
$302$	−2.79850	+	1.42591i	−0.161036	+	0.0820517i
$303$	−0.364301	+	0.949037i	−0.0209286	+	0.0545207i
$304$	−0.644356	+	6.13064i	−0.0369564	+	0.351616i
$305$	3.57908	+	0.984392i	0.204937	+	0.0563661i
$306$	−9.85850	+	1.03617i	−0.563573	+	0.0592339i
$307$	19.0585	−	19.0585i	1.08773	−	1.08773i	0.0919650	−	0.995762i	$-0.470685\pi$
$307$	19.0585	−	19.0585i	1.08773	−	1.08773i	0.995762	−	0.0919650i	$-0.0293148\pi$
$308$	4.74423	+	10.5872i	0.270328	+	0.603259i
$309$	0.857857	−	0.278735i	0.0488018	−	0.0158567i
$310$	0.471745	+	4.79265i	0.0267933	+	0.272204i
$311$	−3.77884	−	17.7780i	−0.214278	−	1.00810i	−0.945415	−	0.325869i	$-0.894343\pi$
$311$	−3.77884	−	17.7780i	−0.214278	−	1.00810i	0.731137	−	0.682231i	$-0.238990\pi$
$312$	−0.716527	+	0.0375516i	−0.0405654	+	0.00212594i
$313$	−15.3829	−	23.6876i	−0.869492	−	1.33890i	−0.939924	−	0.341384i	$-0.889104\pi$
$313$	−15.3829	−	23.6876i	−0.869492	−	1.33890i	0.0704313	−	0.997517i	$-0.477562\pi$
$314$	2.45259	−	7.54830i	0.138408	−	0.425975i
$315$	10.9577	+	13.6485i	0.617398	+	0.769005i
$316$	−4.62535	−	14.2354i	−0.260196	−	0.800802i
$317$	−6.17869	+	7.63005i	−0.347030	+	0.428546i	−0.920538	−	0.390654i	$-0.872249\pi$
$317$	−6.17869	+	7.63005i	−0.347030	+	0.428546i	0.573508	+	0.819200i	$0.305582\pi$
$318$	0.160398	−	0.598615i	0.00899470	−	0.0335687i
$319$	−1.45209	+	3.26144i	−0.0813012	+	0.182606i
$320$	0.564459	+	2.16365i	0.0315542	+	0.120952i
$321$	0.564703	−	0.777248i	0.0315187	−	0.0433817i
$322$	13.7959	−	2.96708i	0.768813	−	0.165349i
$323$	9.37687	+	18.4031i	0.521743	+	1.02398i
$324$	7.47255	+	4.31428i	0.415142	+	0.239682i
$325$	−10.9059	−	13.8374i	−0.604949	−	0.767563i
$326$	1.49039	+	2.58143i	0.0825450	+	0.142972i
$327$	1.62178	+	0.0849937i	0.0896844	+	0.00470016i
$328$	−1.79377	−	11.3254i	−0.0990444	−	0.625342i
$329$	−1.32011	−	0.0660019i	−0.0727799	−	0.00363880i
$330$	0.325346	−	1.96986i	0.0179097	−	0.108437i
$331$	0.0789704	+	0.751353i	0.00434060	+	0.0412981i	0.996478	−	0.0838569i	$-0.0267239\pi$
$331$	0.0789704	+	0.751353i	0.00434060	+	0.0412981i	−0.992137	+	0.125155i	$0.960057\pi$
$332$	−7.61345	−	2.04002i	−0.417842	−	0.111961i
$333$	24.7864	−	9.51462i	1.35829	−	0.521398i
$334$	4.94245	+	1.05055i	0.270439	+	0.0574835i
$335$	−4.65018	+	6.31232i	−0.254066	+	0.344879i
$336$	−0.381860	−	0.380028i	−0.0208322	−	0.0207322i
$337$	−4.31939	+	8.47728i	−0.235292	+	0.461787i	−0.978216	−	0.207589i	$-0.933438\pi$
$337$	−4.31939	+	8.47728i	−0.235292	+	0.461787i	0.742924	+	0.669376i	$0.233438\pi$
$338$	−0.489359	+	0.317793i	−0.0266176	+	0.0172857i
$339$	2.10441	−	0.447307i	0.114296	−	0.0242944i
$340$	5.53450	+	5.04987i	0.300150	+	0.273868i
$341$	1.96349	−	9.23751i	0.106329	−	0.500239i
$342$	2.85299	−	18.0131i	0.154272	−	0.974037i
$343$	−15.0613	−	10.7776i	−0.813235	−	0.581935i
$344$	−4.27901	−	5.88955i	−0.230709	−	0.317544i
$345$	−2.26137	−	0.885240i	−0.121748	−	0.0476597i
$346$	0.422944	+	0.0444532i	0.0227376	+	0.00238982i
$347$	12.0146	−	9.72921i	0.644976	−	0.522291i	−0.250091	−	0.968222i	$-0.580461\pi$
$347$	12.0146	−	9.72921i	0.644976	−	0.522291i	0.895067	+	0.445931i	$0.147127\pi$
$348$	0.00867644	−	0.165556i	0.000465106	−	0.00887475i
$349$	−0.274375			−0.0146869			−0.00734347	−	0.999973i	$-0.502338\pi$
$349$	−0.274375			−0.0146869			−0.00734347	+	0.999973i	$0.502338\pi$
$350$	2.21049	−	13.0428i	0.118156	−	0.697165i
$351$	4.27531			0.228199
$352$	0.229491	−	4.37896i	0.0122319	−	0.233399i
$353$	11.3811	−	9.21626i	0.605757	−	0.490532i	−0.276681	−	0.960962i	$-0.589234\pi$
$353$	11.3811	−	9.21626i	0.605757	−	0.490532i	0.882437	+	0.470430i	$0.155901\pi$
$354$	1.66981	+	0.175504i	0.0887494	+	0.00932793i
$355$	1.97108	−	33.3895i	0.104614	−	1.77213i
$356$	1.76351	+	2.42726i	0.0934659	+	0.128645i
$357$	−1.76653	−	0.371052i	−0.0934949	−	0.0196381i
$358$	1.10232	−	6.95978i	0.0582595	−	0.367836i
$359$	0.313907	−	1.47682i	0.0165674	−	0.0779435i	−0.969087	−	0.246718i	$-0.920648\pi$
$359$	0.313907	−	1.47682i	0.0165674	−	0.0779435i	0.985655	+	0.168775i	$0.0539811\pi$
$360$	−1.33267	−	6.47987i	−0.0702378	−	0.341519i
$361$	−18.5848	+	3.95031i	−0.978145	+	0.207911i
$362$	2.32599	−	1.51052i	0.122251	−	0.0793910i
$363$	−0.760617	+	1.49279i	−0.0399220	+	0.0783514i
$364$	9.01096	+	2.39127i	0.472302	+	0.125337i
$365$	0.0459816	−	6.96180i	0.00240679	−	0.364397i
$366$	0.330639	+	0.0702795i	0.0172828	+	0.00367357i
$367$	−10.8462	+	4.16346i	−0.566167	+	0.217331i	−0.624579	−	0.780962i	$-0.714729\pi$
$367$	−10.8462	+	4.16346i	−0.566167	+	0.217331i	0.0584125	+	0.998293i	$0.481396\pi$
$368$	−5.15184	−	1.38043i	−0.268558	−	0.0719600i
$369$	3.54606	+	33.7385i	0.184600	+	1.75636i
$370$	−17.8188	−	9.22786i	−0.926354	−	0.479734i
$371$	−4.36939	+	6.76382i	−0.226848	+	0.351160i
$372$	0.0686033	+	0.433144i	0.00355692	+	0.0224575i
$373$	34.4171	+	1.80372i	1.78205	+	0.0933932i	0.914657	−	0.404232i	$-0.132461\pi$
$373$	34.4171	+	1.80372i	1.78205	+	0.0933932i	0.867392	+	0.497625i	$0.165794\pi$
$374$	−7.34608	−	12.7238i	−0.379857	−	0.657932i
$375$	−1.55655	+	1.66132i	−0.0803800	+	0.0857901i
$376$	0.432647	+	0.249789i	0.0223120	+	0.0128819i
$377$	1.30244	+	2.55619i	0.0670793	+	0.131651i
$378$	2.15370	+	2.38039i	0.110774	+	0.122434i
$379$	−16.1479	+	22.2257i	−0.829462	+	1.14166i	0.158561	+	0.987349i	$0.449314\pi$
$379$	−16.1479	+	22.2257i	−0.829462	+	1.14166i	−0.988023	+	0.154307i	$0.950686\pi$
$380$	−11.6096	+	7.43081i	−0.595560	+	0.381193i
$381$	−0.604173	+	1.35700i	−0.0309527	+	0.0695210i
$382$	0.771260	−	2.87838i	0.0394611	−	0.147271i
$383$	9.35698	−	11.5549i	0.478119	−	0.590428i	−0.479831	−	0.877361i	$-0.659302\pi$
$383$	9.35698	−	11.5549i	0.478119	−	0.590428i	0.957951	+	0.286932i	$0.0926355\pi$
$384$	0.0629232	+	0.193658i	0.00321104	+	0.00988255i
$385$	−11.8743	+	23.0646i	−0.605172	+	1.17548i
$386$	−7.09674	+	21.8415i	−0.361215	+	1.11170i
$387$	11.7303	+	18.0631i	0.596287	+	0.918201i
$388$	−10.0172	+	0.524978i	−0.508545	+	0.0266517i
$389$	−5.29222	−	24.8979i	−0.268326	−	1.26237i	−0.881408	−	0.472355i	$-0.843404\pi$
$389$	−5.29222	−	24.8979i	−0.268326	−	1.26237i	0.613082	−	0.790019i	$-0.289929\pi$
$390$	−1.06566	−	1.19937i	−0.0539616	−	0.0607323i
$391$	−16.9959	+	5.52231i	−0.859520	+	0.279275i
$392$	3.20789	+	6.22169i	0.162023	+	0.314243i
$393$	−2.45326	+	2.45326i	−0.123751	+	0.123751i
$394$	9.10430	−	0.956901i	0.458668	−	0.0482080i
$395$	18.4137	−	27.9488i	0.926495	−	1.40625i
$396$	−1.35606	+	12.9020i	−0.0681444	+	0.648351i
$397$	0.619798	−	1.61463i	0.0311068	−	0.0810359i	−0.917147	−	0.398548i	$-0.869514\pi$
$397$	0.619798	−	1.61463i	0.0311068	−	0.0810359i	0.948254	+	0.317512i	$0.102847\pi$
$398$	−13.3400	+	6.79705i	−0.668672	+	0.340705i
$399$	1.50058	−	2.96265i	0.0751232	−	0.148318i
$400$	−2.99210	+	4.00591i	−0.149605	+	0.200296i
$401$	−13.1210	+	22.7262i	−0.655230	+	1.13489i	0.326606	+	0.945161i	$0.394095\pi$
$401$	−13.1210	+	22.7262i	−0.655230	+	1.13489i	−0.981836	+	0.189731i	$0.939238\pi$
$402$	−0.388850	+	0.598777i	−0.0193941	+	0.0298643i
$403$	−4.77591	−	5.89775i	−0.237905	−	0.293788i
$404$	−4.56072	+	2.03056i	−0.226904	+	0.101024i
$405$	2.89232	+	19.0760i	0.143721	+	0.947895i
$406$	−0.767116	+	2.01286i	−0.0380713	+	0.0998964i
$407$	27.8251	+	27.8251i	1.37924	+	1.37924i
$408$	0.530213	+	0.429358i	0.0262495	+	0.0212564i
$409$	14.1139	−	15.6750i	0.697886	−	0.775081i	−0.285152	−	0.958482i	$-0.592044\pi$
$409$	14.1139	−	15.6750i	0.697886	−	0.775081i	0.983038	+	0.183401i	$0.0587107\pi$
$410$	17.2820	−	18.9406i	0.853499	−	0.935408i
$411$	1.17734	−	1.06008i	0.0580740	−	0.0522900i
$412$	3.94694	+	2.01107i	0.194452	+	0.0990782i
$413$	−19.9511	−	8.82538i	−0.981729	−	0.434269i
$414$	15.0073	+	4.87616i	0.737568	+	0.239650i
$415$	−7.06213	−	16.1480i	−0.346666	−	0.792674i
$416$	−2.61862	−	2.35782i	−0.128389	−	0.115602i
$417$	−1.52770	−	3.97980i	−0.0748120	−	0.194892i
$418$	26.1097	−	6.99607i	1.27707	−	0.342189i
$419$	0.264986	−	0.192524i	0.0129454	−	0.00940541i	−0.581294	−	0.813694i	$-0.697453\pi$
$419$	0.264986	−	0.192524i	0.0129454	−	0.00940541i	0.594239	+	0.804288i	$0.297453\pi$
$420$	0.130952	−	1.19752i	0.00638981	−	0.0584328i
$421$	0.168574	+	0.122476i	0.00821579	+	0.00596912i	0.591886	−	0.806022i	$-0.298384\pi$
$421$	0.168574	+	0.122476i	0.00821579	+	0.00596912i	−0.583670	+	0.811991i	$0.698384\pi$
$422$	−9.97979	−	3.83088i	−0.485809	−	0.186484i
$423$	−1.23957	−	0.804986i	−0.0602700	−	0.0391398i
$424$	2.63576	−	1.52176i	0.128004	−	0.0739031i
$425$	−1.09769	+	16.7169i	−0.0532457	+	0.810888i
$426$		−	3.04585i		−	0.147572i
$427$	−3.80892	−	2.18689i	−0.184327	−	0.105831i
$428$	4.66008	−	0.738084i	0.225253	−	0.0356766i
$429$	1.27970	+	2.87425i	0.0617844	+	0.138770i
$430$	4.31690	−	15.6955i	0.208179	−	0.756904i
$431$	−8.26923	−	3.68170i	−0.398315	−	0.177341i	0.197796	−	0.980243i	$-0.436622\pi$
$431$	−8.26923	−	3.68170i	−0.398315	−	0.177341i	−0.596111	+	0.802902i	$0.703288\pi$
$432$	−0.314025	−	1.17196i	−0.0151085	−	0.0563858i
$433$	23.3730	+	3.70191i	1.12323	+	0.177903i	0.690300	−	0.723523i	$-0.257479\pi$
$433$	23.3730	+	3.70191i	1.12323	+	0.177903i	0.432933	+	0.901426i	$0.357479\pi$
$434$	0.877853	−	5.63011i	0.0421383	−	0.270254i
$435$	0.301338	−	0.215908i	0.0144480	−	0.0103520i
$436$	5.33665	+	5.92695i	0.255579	+	0.283850i
$437$	−1.72072	−	32.8333i	−0.0823132	−	1.57063i
$438$	−0.0331799	−	0.633110i	−0.00158540	−	0.0302511i
$439$	7.19053	+	7.98589i	0.343185	+	0.381146i	0.889887	−	0.456182i	$-0.150783\pi$
$439$	7.19053	+	7.98589i	0.343185	+	0.381146i	−0.546701	+	0.837328i	$0.684117\pi$
$440$	7.97037	−	5.71077i	0.379973	−	0.272250i
$441$	−8.51429	−	18.8786i	−0.405442	−	0.898980i
$442$	−11.6611	−	1.84694i	−0.554662	−	0.0878498i
$443$	−7.83047	−	29.2237i	−0.372037	−	1.38846i	−0.857626	−	0.514273i	$-0.828062\pi$
$443$	−7.83047	−	29.2237i	−0.372037	−	1.38846i	0.485590	−	0.874187i	$-0.338605\pi$
$444$	−1.66934	−	0.743237i	−0.0792232	−	0.0352725i
$445$	−1.77913	+	6.46859i	−0.0843386	+	0.306640i
$446$	−2.71520	−	6.09845i	−0.128569	−	0.288770i
$447$	4.33257	−	0.686212i	0.204924	−	0.0324567i
$448$	−0.00636074	−	2.64574i	−0.000300517	−	0.125000i
$449$			10.6069i			0.500570i	0.968172	+	0.250285i	$0.0805244\pi$
$449$			10.6069i			0.500570i	−0.968172	+	0.250285i	$0.919476\pi$
$450$	9.46038	−	11.3721i	0.445967	−	0.536086i
$451$	−43.5443	+	25.1403i	−2.05042	+	1.18381i
$452$	8.86115	+	5.75450i	0.416793	+	0.270669i
$453$	−0.597069	−	0.229193i	−0.0280527	−	0.0107684i
$454$	−10.2147	−	7.42145i	−0.479402	−	0.348306i
$455$	8.39897	+	19.0797i	0.393750	+	0.894470i
$456$	−1.01549	+	0.737800i	−0.0475549	+	0.0345507i
$457$	−29.8268	+	7.99207i	−1.39524	+	0.373853i	−0.876633	−	0.481160i	$-0.840216\pi$
$457$	−29.8268	+	7.99207i	−1.39524	+	0.373853i	−0.518606	+	0.855013i	$0.673549\pi$
$458$	6.57479	+	17.1279i	0.307220	+	0.800335i
$459$	−3.02107	−	2.72019i	−0.141012	−	0.126967i
$460$	−4.77878	−	10.9270i	−0.222812	−	0.509472i
$461$	−0.335453	−	0.108995i	−0.0156236	−	0.00507641i	0.301195	−	0.953563i	$-0.402615\pi$
$461$	−0.335453	−	0.108995i	−0.0156236	−	0.00507641i	−0.316818	+	0.948486i	$0.602615\pi$
$462$	−0.955662	+	2.16042i	−0.0444614	+	0.100512i
$463$	−14.6649	−	7.47212i	−0.681534	−	0.347259i	0.0787091	−	0.996898i	$-0.474920\pi$
$463$	−14.6649	−	7.47212i	−0.681534	−	0.347259i	−0.760243	+	0.649639i	$0.774920\pi$
$464$	0.605043	−	0.544783i	0.0280884	−	0.0252909i
$465$	−0.660957	+	0.724388i	−0.0306511	+	0.0335927i
$466$	−19.3117	+	21.4478i	−0.894598	+	0.993551i
$467$	26.5867	+	21.5295i	1.23029	+	0.996265i	0.999731	+	0.0232058i	$0.00738731\pi$
$467$	26.5867	+	21.5295i	1.23029	+	0.996265i	0.230554	+	0.973059i	$0.425946\pi$
$468$	7.37160	+	7.37160i	0.340752	+	0.340752i
$469$	7.19530	−	5.85534i	0.332248	−	0.270374i
$470$	0.167460	+	1.10447i	0.00772436	+	0.0509452i
$471$	1.47639	−	0.657332i	0.0680285	−	0.0302883i
$472$	5.18914	+	6.40806i	0.238850	+	0.294955i
$473$	−17.3860	+	26.7721i	−0.799410	+	1.23098i
$474$	1.52392	−	2.63950i	0.0699958	−	0.121236i
$475$	−29.1851	−	9.91091i	−1.33911	−	0.454744i
$476$	−4.84597	−	7.42301i	−0.222115	−	0.340233i
$477$	−8.02293	+	4.08789i	−0.367345	+	0.187172i
$478$	8.65619	−	22.5502i	0.395925	−	1.03142i
$479$	1.60426	−	15.2635i	0.0733004	−	0.697407i	−0.894736	−	0.446596i	$-0.852636\pi$
$479$	1.60426	−	15.2635i	0.0733004	−	0.697407i	0.968036	−	0.250811i	$-0.0806972\pi$
$480$	−0.250500	+	0.380214i	−0.0114337	+	0.0173543i
$481$	31.4485	−	3.30537i	1.43393	−	0.150712i
$482$	−19.9627	+	19.9627i	−0.909277	+	0.909277i
$483$	2.32868	+	1.68335i	0.105959	+	0.0765950i
$484$	−7.82523	+	2.54257i	−0.355692	+	0.115571i
$485$	−14.8981	−	16.7674i	−0.676487	−	0.761367i
$486$	1.12207	+	5.27894i	0.0508983	+	0.239458i
$487$	29.5360	−	1.54792i	1.33840	−	0.0701427i	0.630355	−	0.776307i	$-0.282909\pi$
$487$	29.5360	−	1.54792i	1.33840	−	0.0701427i	0.708048	+	0.706164i	$0.249576\pi$
$488$	0.904128	+	1.39223i	0.0409279	+	0.0630235i
$489$	−0.187560	+	0.577251i	−0.00848176	+	0.0261042i
$490$	−6.39211	+	14.2878i	−0.288766	+	0.645456i
$491$	4.98396	+	15.3390i	0.224923	+	0.692241i	0.998299	+	0.0582943i	$0.0185662\pi$
$491$	4.98396	+	15.3390i	0.224923	+	0.692241i	−0.773377	+	0.633947i	$0.781434\pi$
$492$	1.46938	−	1.81454i	0.0662448	−	0.0818056i
$493$	0.706039	−	2.63497i	0.0317984	−	0.118673i
$494$	8.83496	−	19.8436i	0.397504	−	0.892808i
$495$	−24.4326	+	15.6382i	−1.09816	+	0.702887i
$496$	−1.26591	+	1.74238i	−0.0568410	+	0.0782350i
$497$	−12.1391	+	37.6681i	−0.544511	+	1.68964i
$498$	−0.728640	−	1.43004i	−0.0326511	−	0.0640815i
$499$	−10.0958	−	5.82880i	−0.451949	−	0.260933i	0.256704	−	0.966490i	$-0.417364\pi$
$499$	−10.0958	−	5.82880i	−0.451949	−	0.260933i	−0.708653	+	0.705557i	$0.750697\pi$
$500$	−11.1744	+	0.363807i	−0.499735	+	0.0162699i
$501$	0.514441	+	0.891039i	0.0229835	+	0.0398087i
$502$	−18.3831	−	0.963417i	−0.820477	−	0.0429994i
$503$	−0.596948	−	3.76898i	−0.0266166	−	0.168051i	0.970799	−	0.239893i	$-0.0771122\pi$
$503$	−0.596948	−	3.76898i	−0.0266166	−	0.168051i	−0.997416	+	0.0718421i	$0.977112\pi$
$504$	−0.390869	+	7.81779i	−0.0174107	+	0.348232i
$505$	−9.91277	−	5.13356i	−0.441113	−	0.228440i
$506$	2.44467	+	23.2594i	0.108679	+	1.03401i
$507$	−0.114765	−	0.0307511i	−0.00509688	−	0.00136570i
$508$	−6.81038	+	2.61426i	−0.302162	+	0.115989i
$509$	12.0326	+	2.55761i	0.533335	+	0.113364i	0.466704	−	0.884414i	$-0.345441\pi$
$509$	12.0326	+	2.55761i	0.533335	+	0.113364i	0.0666315	+	0.997778i	$0.478775\pi$
$510$	−0.0100759	+	1.52554i	−0.000446171	+	0.0675520i
$511$	−2.11288	+	7.96191i	−0.0934685	+	0.352214i
$512$	−0.453990	+	0.891007i	−0.0200637	+	0.0393773i
$513$	6.27265	−	4.07351i	0.276944	−	0.179850i
$514$	−24.6337	+	5.23606i	−1.08655	+	0.230953i
$515$	1.99538	+	9.70218i	0.0879269	+	0.427529i
$516$	0.308200	−	1.44997i	0.0135677	−	0.0638312i
$517$	0.342690	−	2.16366i	0.0150715	−	0.0951576i
$518$	17.6826	+	15.8447i	0.776928	+	0.696174i
$519$	0.0508998	+	0.0700575i	0.00223425	+	0.00307518i
$520$	0.464328	−	7.86555i	0.0203621	−	0.344927i
$521$	−0.557524	−	0.0585981i	−0.0244256	−	0.00256723i	0.0923078	−	0.995731i	$-0.470576\pi$
$521$	−0.557524	−	0.0585981i	−0.0244256	−	0.00256723i	−0.116733	+	0.993163i	$0.537242\pi$
$522$	−1.87194	+	1.51587i	−0.0819327	+	0.0663478i
$523$	1.62334	−	30.9752i	0.0709838	−	1.35445i	−0.698419	−	0.715689i	$-0.746113\pi$
$523$	1.62334	−	30.9752i	0.0709838	−	1.35445i	0.769403	−	0.638764i	$-0.220554\pi$
$524$	−17.0385			−0.744328
$525$	2.27484	−	1.44259i	0.0992821	−	0.0629599i
$526$	−16.3135			−0.711302
$527$	−0.377663	+	7.20623i	−0.0164512	+	0.313908i
$528$	0.693901	−	0.561910i	0.0301982	−	0.0244540i
$529$	5.41722	+	0.569373i	0.235531	+	0.0247553i
$530$	6.33724	+	2.48078i	0.275272	+	0.107758i
$531$	−14.3390	−	19.7360i	−0.622261	−	0.856469i
$532$	15.4991	−	5.07719i	0.671971	−	0.220124i
$533$	−6.32072	+	39.9075i	−0.273781	+	1.72858i
$534$	−0.127018	+	0.597575i	−0.00549663	+	0.0258596i
$535$	7.79349	+	7.11105i	0.336942	+	0.307438i
$536$	−3.42965	+	0.728994i	−0.148138	+	0.0314877i
$537$	1.20336	−	0.781471i	0.0519288	−	0.0337230i
$538$	−8.06800	+	15.8343i	−0.347836	+	0.682667i
$539$	20.4289	−	22.9091i	0.879935	−	0.986767i
$540$	1.60914	−	2.18430i	0.0692462	−	0.0939973i
$541$	10.9000	+	2.31687i	0.468628	+	0.0996100i	0.436172	−	0.899863i	$-0.356334\pi$
$541$	10.9000	+	2.31687i	0.468628	+	0.0996100i	0.0324559	+	0.999473i	$0.489667\pi$
$542$	15.6928	−	6.02391i	0.674064	−	0.258749i
$543$	0.545493	+	0.146164i	0.0234093	+	0.00627251i
$544$	0.350231	+	3.33222i	0.0150160	+	0.142868i
$545$	−2.90609	+	17.5954i	−0.124483	+	0.753704i
$546$	0.865899	+	1.68937i	0.0370570	+	0.0722983i
$547$	1.72089	+	10.8653i	0.0735801	+	0.464566i	0.996776	+	0.0802364i	$0.0255675\pi$
$547$	1.72089	+	10.8653i	0.0735801	+	0.464566i	−0.923196	+	0.384330i	$0.874432\pi$
$548$	7.76971	+	0.407193i	0.331906	+	0.0173944i
$549$	−2.45566	−	4.25333i	−0.104805	−	0.181528i
$550$	21.1010	+	5.95381i	0.899748	+	0.253871i
$551$	4.34645	+	2.50943i	0.185165	+	0.106905i
$552$	−0.493053	−	0.967672i	−0.0209857	−	0.0411868i
$553$	−29.3658	+	26.5692i	−1.24876	+	1.12984i
$554$	−9.84466	+	13.5500i	−0.418260	+	0.575685i
$555$	−1.03145	−	3.95368i	−0.0437824	−	0.167824i
$556$	8.51520	−	19.1254i	0.361125	−	0.811100i
$557$	2.04295	−	7.62440i	0.0865626	−	0.323056i	−0.909043	−	0.416703i	$-0.863186\pi$
$557$	2.04295	−	7.62440i	0.0865626	−	0.323056i	0.995606	+	0.0936465i	$0.0298523\pi$
$558$	4.00990	−	4.95181i	0.169752	−	0.209627i
$559$	7.92696	+	24.3967i	0.335275	+	1.03187i
$560$	4.61326	−	3.70376i	0.194946	−	0.156513i
$561$	0.924478	−	2.84525i	0.0390315	−	0.120127i
$562$	−10.6747	−	16.4376i	−0.450286	−	0.693380i
$563$	−23.2846	+	1.22030i	−0.981331	+	0.0514294i	−0.536248	−	0.844060i	$-0.680159\pi$
$563$	−23.2846	+	1.22030i	−0.981331	+	0.0514294i	−0.445083	+	0.895490i	$0.646826\pi$
$564$	0.0211500	+	0.0995029i	0.000890575	+	0.00418983i
$565$	2.31431	+	23.5120i	0.0973638	+	0.989158i
$566$	−26.9921	+	8.77028i	−1.13456	+	0.368642i
$567$	2.33169	−	22.7096i	0.0979218	−	0.953715i
$568$	10.5771	−	10.5771i	0.443804	−	0.443804i
$569$	31.9770	−	3.36092i	1.34055	−	0.140897i	0.593052	−	0.805164i	$-0.297923\pi$
$569$	31.9770	−	3.36092i	1.34055	−	0.140897i	0.747496	+	0.664267i	$0.231256\pi$
$570$	−2.70626	−	0.744333i	−0.113353	−	0.0311767i
$571$	2.91216	−	27.7073i	0.121870	−	1.15952i	−0.747121	−	0.664688i	$-0.768564\pi$
$571$	2.91216	−	27.7073i	0.121870	−	1.15952i	0.868991	−	0.494828i	$-0.164769\pi$
$572$	−5.53726	+	14.4251i	−0.231525	+	0.603142i
$573$	0.540648	−	0.275474i	0.0225859	−	0.0115081i
$574$	−25.4036	+	16.5842i	−1.06033	+	0.692213i
$575$	12.4198	−	23.5993i	0.517941	−	0.984158i
$576$	1.47927	−	2.56217i	0.0616362	−	0.106757i
$577$	0.413447	−	0.636653i	0.0172120	−	0.0265042i	−0.829960	−	0.557823i	$-0.811637\pi$
$577$	0.413447	−	0.636653i	0.0172120	−	0.0265042i	0.847172	+	0.531319i	$0.178303\pi$
$578$	−3.63347	−	4.48696i	−0.151132	−	0.186633i
$579$	−4.27204	+	1.90203i	−0.177540	+	0.0790458i
$580$	1.79620	+	0.296663i	0.0745830	+	0.0123183i
$581$	3.31177	+	20.5892i	0.137395	+	0.854185i
$582$	−1.44429	−	1.44429i	−0.0598678	−	0.0598678i
$583$	−10.3716	−	8.39873i	−0.429546	−	0.347840i
$584$	2.08332	−	2.31377i	0.0862086	−	0.0957443i
$585$	−2.58973	+	23.1667i	−0.107072	+	0.957827i
$586$	24.1778	−	21.7698i	0.998774	−	0.899300i
$587$	−1.54055	−	0.784948i	−0.0635852	−	0.0323983i	0.421909	−	0.906638i	$-0.361360\pi$
$587$	−1.54055	−	0.784948i	−0.0635852	−	0.0323983i	−0.485494	+	0.874240i	$0.661360\pi$
$588$	−0.504401	+	1.33313i	−0.0208012	+	0.0549776i
$589$	−12.6265	−	4.10259i	−0.520265	−	0.169044i
$590$	−3.95246	+	18.0092i	−0.162720	+	0.741426i
$591$	1.38527	+	1.24730i	0.0569824	+	0.0513072i
$592$	−3.21599	−	8.37794i	−0.132176	−	0.344331i
$593$	−21.3326	+	5.71606i	−0.876026	+	0.234730i	−0.668692	−	0.743540i	$-0.733145\pi$
$593$	−21.3326	+	5.71606i	−0.876026	+	0.234730i	−0.207334	+	0.978270i	$0.566479\pi$
$594$	−4.30420	+	3.12718i	−0.176603	+	0.128310i
$595$	6.20456	−	18.8262i	0.254362	−	0.771799i
$596$	17.4283	+	12.6624i	0.713891	+	0.518672i
$597$	−2.84613	−	1.09253i	−0.116484	−	0.0447141i
$598$	15.7619	+	10.2359i	0.644554	+	0.418578i
$599$	−4.68381	+	2.70420i	−0.191375	+	0.110491i	−0.592626	−	0.805478i	$-0.701909\pi$
$599$	−4.68381	+	2.70420i	−0.191375	+	0.110491i	0.401251	+	0.915968i	$0.368576\pi$
$600$	−1.01386	+	0.0930384i	−0.0413906	+	0.00379827i
$601$		−	27.7506i		−	1.13197i	−0.824415	−	0.565986i	$-0.808496\pi$
$601$		−	27.7506i		−	1.13197i	0.824415	−	0.565986i	$-0.191504\pi$
$602$	−9.59026	+	16.7034i	−0.390870	+	0.680781i
$603$	10.2457	−	1.62276i	0.417237	−	0.0660839i
$604$	−1.27749	−	2.86929i	−0.0519803	−	0.116750i
$605$	−15.3635	−	10.1221i	−0.624616	−	0.411521i
$606$	−0.928670	−	0.413471i	−0.0377246	−	0.0167961i
$607$	−3.12541	−	11.6642i	−0.126857	−	0.473435i	0.873042	−	0.487644i	$-0.162144\pi$
$607$	−3.12541	−	11.6642i	−0.126857	−	0.473435i	−0.999899	+	0.0142089i	$0.995477\pi$
$608$	−6.08852	−	0.964326i	−0.246922	−	0.0391086i
$609$	−0.409110	+	0.158172i	−0.0165780	+	0.00640946i
$610$	−1.17036	+	3.52265i	−0.0473864	+	0.142628i
$611$	−1.17791	−	1.30821i	−0.0476533	−	0.0529243i
$612$	−0.518796	−	9.89922i	−0.0209711	−	0.400152i
$613$	2.02450	+	38.6298i	0.0817689	+	1.56024i	0.664319	+	0.747449i	$0.268722\pi$
$613$	2.02450	+	38.6298i	0.0817689	+	1.56024i	−0.582550	+	0.812795i	$0.697945\pi$
$614$	18.0350	+	20.0298i	0.727832	+	0.808339i
$615$	5.22082	+	0.0344827i	0.210524	+	0.00139048i
$616$	−10.8209	+	4.18364i	−0.435988	+	0.168564i
$617$	−7.24451	−	1.14742i	−0.291653	−	0.0461933i	0.00889357	−	0.999960i	$-0.497169\pi$
$617$	−7.24451	−	1.14742i	−0.291653	−	0.0461933i	−0.300546	+	0.953767i	$0.597169\pi$
$618$	0.233456	+	0.871269i	0.00939097	+	0.0350476i
$619$	−3.87680	−	1.72606i	−0.155822	−	0.0693763i	0.327344	−	0.944905i	$-0.393846\pi$
$619$	−3.87680	−	1.72606i	−0.155822	−	0.0693763i	−0.483166	+	0.875529i	$0.660513\pi$
$620$	−4.81077	+	0.220271i	−0.193205	+	0.00884630i
$621$	2.63209	+	5.91176i	0.105622	+	0.237231i
$622$	17.9514	−	2.84323i	0.719787	−	0.114003i
$623$	3.95244	−	6.88399i	0.158351	−	0.275801i
$624$		−	0.717510i		−	0.0287234i
$625$	−16.2317	−	19.0140i	−0.649266	−	0.760561i
$626$	24.4602	−	14.1221i	0.977626	−	0.564433i
$627$	4.61613	+	2.99775i	0.184350	+	0.119719i
$628$	7.40960	+	2.84428i	0.295675	+	0.113499i
$629$	−24.3255	−	17.6735i	−0.969923	−	0.704690i
$630$	−14.2033	+	10.2284i	−0.565872	+	0.407509i
$631$	0.147055	−	0.106842i	0.00585416	−	0.00425329i	−0.584854	−	0.811138i	$-0.698848\pi$
$631$	0.147055	−	0.106842i	0.00585416	−	0.00425329i	0.590708	+	0.806885i	$0.298848\pi$
$632$	14.4579	−	3.87399i	0.575106	−	0.154099i
$633$	−0.780059	−	2.03212i	−0.0310046	−	0.0807696i
$634$	−7.29623	−	6.56955i	−0.289770	−	0.260910i
$635$	−14.0723	−	8.24908i	−0.558444	−	0.327355i
$636$	0.589400	+	0.191508i	0.0233712	+	0.00759377i
$637$	−3.97570	−	24.3434i	−0.157523	−	0.964522i
$638$	−3.18097	−	1.62079i	−0.125936	−	0.0641676i
$639$	−32.8875	+	29.6120i	−1.30101	+	1.17143i
$640$	−2.19023	+	0.450449i	−0.0865763	+	0.0178055i
$641$	32.6809	−	36.2958i	1.29082	−	1.43360i	0.449290	−	0.893386i	$-0.351677\pi$
$641$	32.6809	−	36.2958i	1.29082	−	1.43360i	0.841528	−	0.540213i	$-0.181656\pi$
$642$	0.746628	+	0.604608i	0.0294671	+	0.0238620i
$643$	−18.9340	−	18.9340i	−0.746683	−	0.746683i	0.227172	−	0.973855i	$-0.427052\pi$
$643$	−18.9340	−	18.9340i	−0.746683	−	0.746683i	−0.973855	+	0.227172i	$0.927052\pi$
$644$	2.24100	+	13.9322i	0.0883077	+	0.549007i
$645$	2.96325	−	1.48528i	0.116678	−	0.0584830i
$646$	−18.8687	+	8.40087i	−0.742378	+	0.330528i
$647$	−14.9872	−	18.5076i	−0.589207	−	0.727611i	0.392129	−	0.919910i	$-0.371739\pi$
$647$	−14.9872	−	18.5076i	−0.589207	−	0.727611i	−0.981336	+	0.192300i	$0.938405\pi$
$648$	−4.69945	+	7.23652i	−0.184612	+	0.284277i
$649$	18.0784	−	31.3127i	0.709640	−	1.22913i
$650$	14.3892	−	10.1667i	0.564392	−	0.398772i
$651$	0.971568	−	0.634270i	0.0380788	−	0.0248590i
$652$	−2.65589	+	1.35325i	−0.104013	+	0.0529972i
$653$	−8.11232	+	21.1333i	−0.317460	+	0.827011i	0.678280	+	0.734803i	$0.262726\pi$
$653$	−8.11232	+	21.1333i	−0.317460	+	0.827011i	−0.995740	+	0.0922074i	$0.970608\pi$
$654$	−0.169754	+	1.61511i	−0.00663792	+	0.0631556i
$655$	−23.7805	−	29.7663i	−0.929181	−	1.16307i
$656$	11.4038	−	1.19859i	0.445243	−	0.0467969i
$657$	−6.51340	+	6.51340i	−0.254112	+	0.254112i
$658$	0.135001	−	1.31484i	0.00526287	−	0.0512580i
$659$	−3.57922	+	1.16296i	−0.139427	+	0.0453025i	−0.377899	−	0.925847i	$-0.623353\pi$
$659$	−3.57922	+	1.16296i	−0.139427	+	0.0453025i	0.238472	+	0.971149i	$0.423353\pi$
$660$	1.95013	+	0.427995i	0.0759089	+	0.0166597i
$661$	3.57429	+	16.8157i	0.139024	+	0.654055i	0.991372	+	0.131080i	$0.0418446\pi$
$661$	3.57429	+	16.8157i	0.139024	+	0.654055i	−0.852348	+	0.522975i	$0.824822\pi$
$662$	−0.754456	+	0.0395394i	−0.0293228	+	0.00153674i
$663$	−1.30935	−	2.01623i	−0.0508510	−	0.0783037i
$664$	2.43568	−	7.49625i	0.0945227	−	0.290911i
$665$	30.5019	+	19.9908i	1.18281	+	0.775211i
$666$	8.20436	+	25.2504i	0.317913	+	0.978434i
$667$	−2.73277	+	3.37469i	−0.105813	+	0.130669i
$668$	−1.30778	+	4.88069i	−0.0505994	+	0.188840i
$669$	0.552880	−	1.24179i	0.0213756	−	0.0480103i
$670$	−6.06030	−	4.97416i	−0.234130	−	0.192169i
$671$	4.27864	−	5.88905i	0.165175	−	0.227344i
$672$	0.399492	−	0.361447i	0.0154108	−	0.0139431i
$673$	−7.12312	−	13.9799i	−0.274576	−	0.538886i	0.712002	−	0.702178i	$-0.247789\pi$
$673$	−7.12312	−	13.9799i	−0.274576	−	0.538886i	−0.986578	+	0.163292i	$0.947789\pi$
$674$	−8.23960	−	4.75713i	−0.317377	−	0.183238i
$675$	6.06185	−	0.237445i	0.233321	−	0.00913927i
$676$	−0.291747	−	0.505320i	−0.0112210	−	0.0194354i
$677$	8.32674	+	0.436386i	0.320022	+	0.0167717i	0.211671	−	0.977341i	$-0.432109\pi$
$677$	8.32674	+	0.436386i	0.320022	+	0.0167717i	0.108351	+	0.994113i	$0.465443\pi$
$678$	0.336558	+	2.12494i	0.0129254	+	0.0816079i
$679$	12.1054	+	23.6177i	0.464564	+	0.906364i
$680$	−5.33260	+	5.26262i	−0.204496	+	0.201812i
$681$	−0.268740	−	2.55689i	−0.0102982	−	0.0979804i
$682$	9.12209	+	2.44426i	0.349303	+	0.0935954i
$683$	−36.8560	+	14.1477i	−1.41026	+	0.541347i	−0.939998	−	0.341181i	$-0.889173\pi$
$683$	−36.8560	+	14.1477i	−1.41026	+	0.541347i	−0.470259	+	0.882528i	$0.655840\pi$
$684$	17.8391	+	3.79182i	0.682095	+	0.144984i
$685$	10.1328	+	14.1421i	0.387154	+	0.540340i
$686$	11.5511	−	14.4766i	0.441022	−	0.552720i
$687$	−1.69601	+	3.32860i	−0.0647068	+	0.126994i
$688$	6.10543	−	3.96491i	0.232767	−	0.151161i
$689$	−10.4901	+	2.22974i	−0.399641	+	0.0849463i
$690$	1.00238	−	2.21194i	0.0381599	−	0.0842072i
$691$	4.76991	−	22.4407i	0.181456	−	0.853683i	−0.789374	−	0.613913i	$-0.789595\pi$
$691$	4.76991	−	22.4407i	0.181456	−	0.853683i	0.970830	−	0.239770i	$-0.0770721\pi$
$692$	−0.0665275	+	0.420038i	−0.00252900	+	0.0159675i
$693$	32.6181	−	10.6850i	1.23906	−	0.405890i
$694$	9.08708	+	12.5073i	0.344941	+	0.474770i
$695$	45.2969	−	11.8172i	1.71821	−	0.448251i
$696$	0.164875	+	0.0173291i	0.00624958	+	0.000656858i
$697$	29.8577	−	24.1783i	1.13094	−	0.915818i
$698$	0.0143597	−	0.273999i	0.000543521	−	0.0103710i
$699$	−5.87677			−0.222280
$700$	12.9092	+	2.89007i	0.487922	+	0.109234i
$701$	−7.86324			−0.296990			−0.148495	−	0.988913i	$-0.547443\pi$
$701$	−7.86324			−0.296990			−0.148495	+	0.988913i	$0.547443\pi$
$702$	−0.223753	+	4.26945i	−0.00844500	+	0.161140i
$703$	42.9912	−	34.8136i	1.62144	−	1.31302i
$704$	4.36095	+	0.458354i	0.164359	+	0.0172749i
$705$	−0.144313	+	0.175825i	−0.00543515	+	0.00662195i
$706$	8.60799	+	11.8479i	0.323966	+	0.445901i
$707$	9.83701	+	8.81455i	0.369959	+	0.331505i
$708$	−0.262655	+	1.65834i	−0.00987116	+	0.0623241i
$709$	−2.03369	+	9.56777i	−0.0763769	+	0.359325i	−0.999695	−	0.0247119i	$-0.992133\pi$
$709$	−2.03369	+	9.56777i	−0.0763769	+	0.359325i	0.923318	+	0.384037i	$0.125466\pi$
$710$	33.2406	+	3.71585i	1.24750	+	0.139453i
$711$	−43.3156	+	9.20701i	−1.62446	+	0.345290i
$712$	−2.51623	+	1.63406i	−0.0942998	+	0.0612390i
$713$	5.21494	−	10.2349i	0.195301	−	0.383300i
$714$	0.462997	−	1.74469i	0.0173272	−	0.0652935i
$715$	−32.9290	+	10.4594i	−1.23148	+	0.391158i
$716$	6.89255	+	1.46506i	0.257587	+	0.0547517i
$717$	4.59175	−	1.76261i	0.171482	−	0.0658258i
$718$	1.45837	+	0.390768i	0.0544257	+	0.0145833i
$719$	−3.03716	−	28.8966i	−0.113267	−	1.07766i	−0.892537	−	0.450974i	$-0.851077\pi$
$719$	−3.03716	−	28.8966i	−0.113267	−	1.07766i	0.779270	−	0.626688i	$-0.215590\pi$
$720$	6.54074	−	0.991713i	0.243759	−	0.0369590i
$721$	0.585240	−	11.7054i	0.0217955	−	0.435933i
$722$	−2.97225	−	18.7660i	−0.110616	−	0.698399i
$723$	−5.74074	−	0.300859i	−0.213500	−	0.0111891i
$724$	1.38671	+	2.40186i	0.0515368	+	0.0892643i
$725$	1.98867	+	3.55202i	0.0738573	+	0.131919i
$726$	−1.45094	−	0.837701i	−0.0538495	−	0.0310900i
$727$	10.2949	+	20.2048i	0.381816	+	0.749356i	0.999307	−	0.0372218i	$-0.0118508\pi$
$727$	10.2949	+	20.2048i	0.381816	+	0.749356i	−0.617491	+	0.786578i	$0.711851\pi$
$728$	−2.85959	+	8.87346i	−0.105984	+	0.328872i
$729$	14.5693	−	20.0529i	0.539603	−	0.742700i
$730$	6.94985	+	0.410271i	0.257226	+	0.0151848i
$731$	9.92105	−	22.2830i	0.366943	−	0.824168i
$732$	−0.0874875	+	0.326508i	−0.00323363	+	0.0120681i
$733$	15.5458	−	19.1974i	0.574197	−	0.709074i	−0.404465	−	0.914554i	$-0.632542\pi$
$733$	15.5458	−	19.1974i	0.574197	−	0.709074i	0.978661	+	0.205480i	$0.0658755\pi$
$734$	−3.59011	−	11.0492i	−0.132513	−	0.407834i
$735$	−3.03299	+	0.979457i	−0.111873	+	0.0361278i
$736$	1.64817	−	5.07253i	0.0607522	−	0.186976i
$737$	8.37375	+	12.8944i	0.308451	+	0.474973i
$738$	−33.8778	+	1.77546i	−1.24706	+	0.0653557i
$739$	2.94799	+	13.8692i	0.108443	+	0.510186i	0.998521	+	0.0543762i	$0.0173170\pi$
$739$	2.94799	+	13.8692i	0.108443	+	0.510186i	−0.890077	+	0.455810i	$0.849350\pi$
$740$	10.1478	−	17.3114i	0.373040	−	0.636380i
$741$	4.20655	−	1.36679i	0.154531	−	0.0502103i
$742$	−6.52587	−	4.71740i	−0.239572	−	0.173181i
$743$	−3.41476	+	3.41476i	−0.125276	+	0.125276i	−0.766965	−	0.641689i	$-0.778234\pi$
$743$	−3.41476	+	3.41476i	−0.125276	+	0.125276i	0.641689	+	0.766965i	$0.278234\pi$
$744$	−0.436141	+	0.0458403i	−0.0159897	+	0.00168059i
$745$	2.20328	+	48.1202i	0.0807221	+	1.76299i
$746$	−3.60250	+	34.2755i	−0.131897	+	1.25492i
$747$	−8.35687	+	21.7704i	−0.305762	+	0.796537i
$748$	13.0908	−	6.67010i	0.478648	−	0.243883i
$749$	−6.82393	−	10.4528i	−0.249341	−	0.381938i
$750$	−1.57758	−	1.64137i	−0.0576050	−	0.0599342i
$751$	5.65452	−	9.79392i	0.206336	−	0.357385i	−0.744221	−	0.667933i	$-0.767179\pi$
$751$	5.65452	−	9.79392i	0.206336	−	0.357385i	0.950558	+	0.310548i	$0.100513\pi$
$752$	−0.272089	+	0.418981i	−0.00992207	+	0.0152787i
$753$	−2.35893	−	2.91303i	−0.0859640	−	0.106157i
$754$	−2.62085	+	1.16688i	−0.0954458	+	0.0424952i
$755$	3.22968	−	6.23644i	0.117540	−	0.226967i
$756$	−2.48984	+	2.02617i	−0.0905548	+	0.0736910i
$757$	−29.5789	−	29.5789i	−1.07506	−	1.07506i	−0.996944	−	0.0781198i	$-0.975108\pi$
$757$	−29.5789	−	29.5789i	−1.07506	−	1.07506i	−0.0781198	−	0.996944i	$-0.524892\pi$
$758$	−21.3501	−	17.2890i	−0.775470	−	0.627963i
$759$	−3.18658	+	3.53905i	−0.115665	+	0.128459i
$760$	−6.81303	−	11.9826i	−0.247134	−	0.434654i
$761$	20.2996	−	18.2778i	0.735859	−	0.662570i	−0.213436	−	0.976957i	$-0.568466\pi$
$761$	20.2996	−	18.2778i	0.735859	−	0.662570i	0.949295	+	0.314387i	$0.101799\pi$
$762$	−1.32352	−	0.674365i	−0.0479459	−	0.0244297i
$763$	8.53626	−	19.2975i	0.309033	−	0.698616i
$764$	2.83407	+	0.920846i	0.102533	+	0.0333151i
$765$	16.5699	−	14.7226i	0.599087	−	0.532298i
$766$	11.0494	+	9.94889i	0.399230	+	0.359468i
$767$	−10.4124	−	27.1254i	−0.375972	−	0.979440i
$768$	−0.196685	+	0.0527017i	−0.00709728	+	0.00190171i
$769$	20.8384	−	15.1400i	0.751452	−	0.545962i	−0.144825	−	0.989457i	$-0.546262\pi$
$769$	20.8384	−	15.1400i	0.751452	−	0.545962i	0.896276	+	0.443496i	$0.146262\pi$
$770$	−22.4116	−	13.0652i	−0.807657	−	0.470836i
$771$	−4.14870	−	3.01421i	−0.149412	−	0.108554i
$772$	−21.4402	−	8.23011i	−0.771649	−	0.296208i
$773$	19.5073	+	12.6682i	0.701630	+	0.455644i	0.845516	−	0.533950i	$-0.179293\pi$
$773$	19.5073	+	12.6682i	0.701630	+	0.455644i	−0.143886	+	0.989594i	$0.545960\pi$
$774$	−18.6523	+	10.7689i	−0.670443	+	0.387081i
$775$	−7.09918	−	8.09702i	−0.255010	−	0.290853i
$776$		−	10.0309i		−	0.360089i
$777$	0.0116231	+	4.83461i	0.000416976	+	0.173441i
$778$	25.1408	−	3.98191i	0.901340	−	0.142758i
$779$	28.7501	+	64.5738i	1.03008	+	2.31359i
$780$	1.25350	−	1.00143i	0.0448824	−	0.0358568i
$781$	−59.9206	−	26.6784i	−2.14413	−	0.954628i
$782$	−4.62524	−	17.2616i	−0.165398	−	0.617275i
$783$	−0.975665	−	0.154530i	−0.0348674	−	0.00552246i
$784$	−6.38105	+	2.87787i	−0.227895	+	0.102781i
$785$	5.37257	+	16.9144i	0.191755	+	0.603700i
$786$	−2.32150	−	2.57829i	−0.0828053	−	0.0919646i
$787$	−1.08452	−	20.6939i	−0.0386590	−	0.737657i	−0.947352	−	0.320193i	$-0.896252\pi$
$787$	−1.08452	−	20.6939i	−0.0386590	−	0.737657i	0.908693	−	0.417464i	$-0.137081\pi$
$788$	0.479107	+	9.14191i	0.0170675	+	0.325667i
$789$	−2.22273	−	2.46859i	−0.0791312	−	0.0878841i
$790$	26.9468	+	19.8512i	0.958723	+	0.706274i
$791$	4.30661	−	27.6205i	0.153126	−	0.982072i
$792$	−12.8134	−	2.02944i	−0.455303	−	0.0721129i
$793$	−1.51397	−	5.65021i	−0.0537626	−	0.200645i
$794$	1.57998	+	0.703452i	0.0560713	+	0.0249646i
$795$	0.488057	+	1.29697i	0.0173096	+	0.0459989i
$796$	−6.08958	−	13.6774i	−0.215839	−	0.484783i
$797$	−25.7112	+	4.07225i	−0.910736	+	0.144246i	−0.594184	−	0.804329i	$-0.702525\pi$
$797$	−25.7112	+	4.07225i	−0.910736	+	0.144246i	−0.316552	+	0.948575i	$0.602525\pi$
$798$	2.88006	+	1.65358i	0.101953	+	0.0585361i
$799$			1.67387i			0.0592173i
$800$	−3.84383	−	3.19765i	−0.135900	−	0.113054i
$801$	7.68718	−	4.43820i	0.271613	−	0.156816i
$802$	−22.0083	−	14.2924i	−0.777142	−	0.504682i
$803$	−12.7457	−	4.89262i	−0.449786	−	0.172657i
$804$	−0.577605	−	0.419655i	−0.0203706	−	0.0148001i
$805$	−21.2120	+	23.3602i	−0.747624	+	0.823339i
$806$	6.13962	−	4.46070i	0.216259	−	0.157121i
$807$	−3.49535	+	0.936577i	−0.123042	+	0.0329691i
$808$	−1.78909	−	4.66074i	−0.0629399	−	0.163964i
$809$	25.1081	+	22.6074i	0.882753	+	0.794834i	0.979703	−	0.200455i	$-0.0642421\pi$
$809$	25.1081	+	22.6074i	0.882753	+	0.794834i	−0.0969503	+	0.995289i	$0.530909\pi$
$810$	−19.2012	+	1.89000i	−0.674663	+	0.0664078i
$811$	−15.7542	−	5.11885i	−0.553205	−	0.179747i	0.0190566	−	0.999818i	$-0.493934\pi$
$811$	−15.7542	−	5.11885i	−0.553205	−	0.179747i	−0.572261	+	0.820071i	$0.693934\pi$
$812$	−1.96995	−	0.871410i	−0.0691317	−	0.0305805i
$813$	3.04971	+	1.55390i	0.106958	+	0.0544978i
$814$	−29.2432	+	26.3307i	−1.02497	+	0.922891i
$815$	−6.07095	−	2.75115i	−0.212656	−	0.0963685i
$816$	−0.456519	+	0.507016i	−0.0159814	+	0.0177491i
$817$	34.8754	+	28.2415i	1.22013	+	0.988046i
$818$	14.9149	+	14.9149i	0.521487	+	0.521487i
$819$	9.82257	−	25.7737i	0.343228	−	0.900606i
$820$	18.0101	+	18.2496i	0.628941	+	0.637304i
$821$	49.5995	−	22.0831i	1.73103	−	0.770706i	0.735371	−	0.677665i	$-0.237008\pi$
$821$	49.5995	−	22.0831i	1.73103	−	0.770706i	0.995662	−	0.0930408i	$-0.0296587\pi$
$822$	0.997013	+	1.23121i	0.0347748	+	0.0429433i
$823$	5.89177	−	9.07252i	0.205374	−	0.316248i	−0.720942	−	0.692995i	$-0.756291\pi$
$823$	5.89177	−	9.07252i	0.205374	−	0.316248i	0.926316	+	0.376747i	$0.122957\pi$
$824$	−2.21488	+	3.83628i	−0.0771590	+	0.133643i
$825$	1.97408	+	4.00425i	0.0687287	+	0.139410i
$826$	9.85745	−	19.4619i	0.342984	−	0.677165i
$827$	15.4699	−	7.88233i	0.537943	−	0.274096i	−0.163839	−	0.986487i	$-0.552388\pi$
$827$	15.4699	−	7.88233i	0.537943	−	0.274096i	0.701782	+	0.712391i	$0.252388\pi$
$828$	−5.65490	+	14.7315i	−0.196521	+	0.511956i
$829$	0.127543	−	1.21349i	0.00442974	−	0.0421462i	−0.992084	−	0.125578i	$-0.959921\pi$
$829$	0.127543	−	1.21349i	0.00442974	−	0.0421462i	0.996513	+	0.0834319i	$0.0265881\pi$
$830$	16.4955	−	6.20733i	0.572566	−	0.215460i
$831$	−3.39176	+	0.356488i	−0.117659	+	0.0123664i
$832$	2.49164	−	2.49164i	0.0863820	−	0.0863820i
$833$	−12.6793	+	19.7314i	−0.439310	+	0.683653i
$834$	4.05430	−	1.31732i	0.140389	−	0.0456152i
$835$	−10.3519	+	4.52726i	−0.358241	+	0.156672i
$836$	5.62001	+	26.4400i	0.194372	+	0.914448i
$837$	2.60950	−	0.136758i	0.0901974	−	0.00472705i
$838$	0.178392	+	0.274699i	0.00616244	+	0.00948932i
$839$	0.0319211	−	0.0982431i	0.00110204	−	0.00339173i	−0.950504	−	0.310712i	$-0.899432\pi$
$839$	0.0319211	−	0.0982431i	0.00110204	−	0.00339173i	0.951606	+	0.307321i	$0.0994324\pi$
$840$	1.18902	+	0.193446i	0.0410251	+	0.00667451i
$841$	8.75666	+	26.9502i	0.301954	+	0.929318i
$842$	−0.131131	+	0.161933i	−0.00451906	+	0.00558058i
$843$	1.03293	−	3.85497i	0.0355762	−	0.132772i
$844$	4.34794	−	9.76562i	0.149662	−	0.336147i
$845$	0.475609	−	1.21496i	0.0163614	−	0.0417958i
$846$	0.868757	−	1.19574i	0.0298685	−	0.0411104i
$847$	14.6052	+	16.1425i	0.501841	+	0.554663i
$848$	1.38173	+	2.71179i	0.0474487	+	0.0931233i
$849$	−5.00484	−	2.88954i	−0.171766	−	0.0991689i
$850$	−16.6365	−	1.97108i	−0.570628	−	0.0676074i
$851$	23.9317	+	41.4510i	0.820369	+	1.42092i
$852$	3.04168	+	0.159407i	0.104206	+	0.00546121i
$853$	5.00728	+	31.6147i	0.171446	+	1.08247i	0.911916	+	0.410377i	$0.134603\pi$
$853$	5.00728	+	31.6147i	0.171446	+	1.08247i	−0.740470	+	0.672089i	$0.765397\pi$
$854$	2.38323	−	3.68925i	0.0815526	−	0.126243i
$855$	18.2736	+	36.4573i	0.624944	+	1.24681i
$856$	0.493183	+	4.69232i	0.0168566	+	0.160380i
$857$	−22.1937	−	5.94679i	−0.758123	−	0.203139i	−0.141005	−	0.990009i	$-0.545033\pi$
$857$	−22.1937	−	5.94679i	−0.758123	−	0.203139i	−0.617118	+	0.786870i	$0.711700\pi$
$858$	−2.93729	+	1.12752i	−0.100277	+	0.0384928i
$859$	36.9340	+	7.85056i	1.26017	+	0.267858i	0.789115	−	0.614246i	$-0.210540\pi$
$859$	36.9340	+	7.85056i	1.26017	+	0.267858i	0.471056	+	0.882103i	$0.343873\pi$
$860$	15.4480	+	5.13242i	0.526774	+	0.175014i
$861$	−5.97082	−	1.58450i	−0.203485	−	0.0539997i
$862$	4.10943	−	8.06521i	0.139968	−	0.274702i
$863$	28.0559	−	18.2197i	0.955032	−	0.620205i	0.0297796	−	0.999556i	$-0.490519\pi$
$863$	28.0559	−	18.2197i	0.955032	−	0.620205i	0.925253	+	0.379351i	$0.123853\pi$
$864$	1.18679	−	0.252259i	0.0403753	−	0.00858203i
$865$	−0.826662	+	0.470021i	−0.0281073	+	0.0159812i
$866$	−4.92009	+	23.1472i	−0.167191	+	0.786573i
$867$	0.183912	−	1.16118i	0.00624598	−	0.0394356i
$868$	5.57646	+	1.17131i	0.189277	+	0.0397568i
$869$	−38.5787	−	53.0990i	−1.30869	−	1.80126i
$870$	0.199842	+	0.312225i	0.00677527	+	0.0105854i
$871$	12.2874	+	1.29145i	0.416342	+	0.0437593i
$872$	−6.19813	+	5.01915i	−0.209895	+	0.169970i
$873$	−1.55317	+	29.6362i	−0.0525668	+	1.00303i
$874$	32.8784			1.11213
$875$	12.9683	+	26.5861i	0.438410	+	0.898775i
$876$	0.633978			0.0214201
$877$	1.47997	−	28.2396i	0.0499752	−	0.953583i	−0.852470	−	0.522777i	$-0.824896\pi$
$877$	1.47997	−	28.2396i	0.0499752	−	0.953583i	0.902445	−	0.430806i	$-0.141771\pi$
$878$	−8.35127	+	6.76273i	−0.281842	+	0.228231i
$879$	6.58848	+	0.692477i	0.222224	+	0.0233567i
$880$	5.28580	+	8.25833i	0.178184	+	0.278388i
$881$	15.9195	+	21.9113i	0.536342	+	0.738211i	0.988080	−	0.153939i	$-0.0491960\pi$
$881$	15.9195	+	21.9113i	0.536342	+	0.738211i	−0.451739	+	0.892150i	$0.649196\pi$
$882$	19.2983	−	7.51459i	0.649808	−	0.253030i
$883$	−1.96732	+	12.4212i	−0.0662057	+	0.418006i	0.932219	+	0.361895i	$0.117870\pi$
$883$	−1.96732	+	12.4212i	−0.0662057	+	0.418006i	−0.998425	+	0.0561111i	$0.982130\pi$
$884$	2.45470	−	11.5484i	0.0825605	−	0.388416i
$885$	−3.26371	+	1.85567i	−0.109708	+	0.0623777i
$886$	29.5935	−	6.29029i	0.994212	−	0.211326i
$887$	−31.7017	+	20.5873i	−1.06444	+	0.691255i	−0.953139	−	0.302531i	$-0.902168\pi$
$887$	−31.7017	+	20.5873i	−1.06444	+	0.691255i	−0.111300	+	0.993787i	$0.535502\pi$
$888$	0.829584	−	1.62815i	0.0278390	−	0.0546372i
$889$	13.6803	+	13.6147i	0.458822	+	0.456621i
$890$	−6.36661	−	2.11523i	−0.213409	−	0.0709026i
$891$	37.0091	+	7.86653i	1.23985	+	0.263539i
$892$	6.23219	−	2.39231i	0.208669	−	0.0801006i
$893$	−2.97466	−	0.797059i	−0.0995433	−	0.0266726i
$894$	0.458522	+	4.36255i	0.0153353	+	0.145905i
$895$	7.06043	+	14.0861i	0.236004	+	0.470847i
$896$	2.64245	+	0.132116i	0.0882781	+	0.00441367i
$897$	0.598659	+	3.77978i	0.0199886	+	0.126203i
$898$	−10.5924	−	0.555122i	−0.353472	−	0.0185247i
$899$	0.876732	+	1.51855i	0.0292407	+	0.0506463i
$900$	10.8614	+	10.0426i	0.362047	+	0.334753i
$901$	8.83132	+	5.09876i	0.294214	+	0.169864i
$902$	−22.8269	−	44.8004i	−0.760053	−	1.49169i
$903$	−3.83428	+	0.824640i	−0.127597	+	0.0274423i
$904$	−6.21037	+	8.54783i	−0.206554	+	0.284297i
$905$	−2.26063	+	5.77486i	−0.0751460	+	0.191963i
$906$	0.260127	−	0.584256i	0.00864215	−	0.0194106i
$907$	3.69323	−	13.7833i	0.122632	−	0.457667i	−0.877113	−	0.480285i	$-0.840533\pi$
$907$	3.69323	−	13.7833i	0.122632	−	0.457667i	0.999744	+	0.0226175i	$0.00720000\pi$
$908$	7.94588	−	9.81234i	0.263693	−	0.325634i
$909$	4.56417	+	14.0471i	0.151384	+	0.465912i
$910$	−19.4931	+	7.38891i	−0.646191	+	0.244940i
$911$	14.0408	−	43.2132i	0.465193	−	1.43172i	−0.393546	−	0.919305i	$-0.628752\pi$
$911$	14.0408	−	43.2132i	0.465193	−	1.43172i	0.858739	−	0.512413i	$-0.171248\pi$
$912$	−0.683642	−	1.05272i	−0.0226377	−	0.0348589i
$913$	−34.5150	+	1.80886i	−1.14228	+	0.0598644i
$914$	−6.42010	−	30.2042i	−0.212358	−	0.999066i
$915$	−0.692517	+	0.302864i	−0.0228939	+	0.0100124i
$916$	−17.4485	+	5.66938i	−0.576516	+	0.187321i
$917$	18.4344	+	41.1380i	0.608759	+	1.35850i
$918$	2.87457	−	2.87457i	0.0948749	−	0.0948749i
$919$	−28.4521	+	2.99043i	−0.938548	+	0.0986453i	−0.561434	−	0.827522i	$-0.689750\pi$
$919$	−28.4521	+	2.99043i	−0.938548	+	0.0986453i	−0.377114	+	0.926167i	$0.623083\pi$
$920$	11.1621	−	4.20035i	0.368003	−	0.138482i
$921$	−0.573677	+	5.45817i	−0.0189033	+	0.179853i
$922$	0.126402	−	0.329289i	0.00416283	−	0.0108445i
$923$	−46.9635	+	23.9291i	−1.54582	+	0.787636i
$924$	−2.10744	−	1.06742i	−0.0693297	−	0.0351155i
$925$	44.4064	−	6.43320i	1.46007	−	0.211522i
$926$	8.22938	−	14.2537i	0.270434	−	0.468406i
$927$	7.13782	−	10.9913i	0.234437	−	0.361001i
$928$	0.512371	+	0.632726i	0.0168194	+	0.0207702i
$929$	−37.2512	+	16.5853i	−1.22217	+	0.544147i	−0.913429	−	0.406999i	$-0.866575\pi$
$929$	−37.2512	+	16.5853i	−1.22217	+	0.544147i	−0.308744	+	0.951145i	$0.599909\pi$
$930$	−0.688803	−	0.697963i	−0.0225868	−	0.0228871i
$931$	−29.0274	−	31.9281i	−0.951335	−	1.04640i
$932$	−20.4077	−	20.4077i	−0.668478	−	0.668478i
$933$	2.87614	+	2.32905i	0.0941607	+	0.0762498i
$934$	−22.8914	+	25.4235i	−0.749030	+	0.831882i
$935$	29.9235	+	13.5603i	0.978604	+	0.443470i
$936$	−7.74730	+	6.97570i	−0.253228	+	0.228008i
$937$	−23.9177	−	12.1867i	−0.781358	−	0.398122i	0.0173432	−	0.999850i	$-0.494479\pi$
$937$	−23.9177	−	12.1867i	−0.781358	−	0.398122i	−0.798701	+	0.601728i	$0.794479\pi$
$938$	5.47074	+	7.49188i	0.178626	+	0.244619i
$939$	5.46971	+	1.77722i	0.178497	+	0.0579972i
$940$	−1.11172	+	0.109427i	−0.0362602	+	0.00356913i
$941$	−1.34959	−	1.21518i	−0.0439954	−	0.0396137i	0.646840	−	0.762626i	$-0.276090\pi$
$941$	−1.34959	−	1.21518i	−0.0439954	−	0.0396137i	−0.690835	+	0.723012i	$0.742757\pi$
$942$	0.579163	+	1.50877i	0.0188701	+	0.0491584i
$943$	−59.0741	+	15.8288i	−1.92372	+	0.515458i
$944$	−6.67086	+	4.84666i	−0.217118	+	0.157745i
$945$	−7.01479	−	1.52187i	−0.228191	−	0.0495063i
$946$	−25.8255	−	18.7633i	−0.839659	−	0.610048i
$947$	4.30763	+	1.65354i	0.139979	+	0.0537329i	0.427349	−	0.904087i	$-0.359448\pi$
$947$	4.30763	+	1.65354i	0.139979	+	0.0537329i	−0.287370	+	0.957820i	$0.592781\pi$
$948$	2.55613	+	1.65997i	0.0830191	+	0.0539133i
$949$	−9.50115	+	5.48549i	−0.308421	+	0.178067i
$950$	11.4248	−	28.6264i	0.370668	−	0.928765i
$951$		−	1.99919i		−	0.0648281i
$952$	7.66646	−	4.45084i	0.248471	−	0.144253i
$953$	−26.7989	+	4.24453i	−0.868102	+	0.137494i	−0.574570	−	0.818455i	$-0.694831\pi$
$953$	−26.7989	+	4.24453i	−0.868102	+	0.137494i	−0.293532	+	0.955949i	$0.594831\pi$
$954$	−3.66240	−	8.22588i	−0.118575	−	0.266323i
$955$	2.34678	+	6.23637i	0.0759399	+	0.201804i
$956$	22.0662	+	9.82452i	0.713673	+	0.317748i
$957$	−0.188150	−	0.702185i	−0.00608202	−	0.0226984i
$958$	15.1586	+	2.40089i	0.489753	+	0.0775692i
$959$	−7.42316	−	19.1999i	−0.239706	−	0.619997i
$960$	−0.366583	−	0.270055i	−0.0118314	−	0.00871600i
$961$	17.6394	+	19.5905i	0.569011	+	0.631951i
$962$	1.65495	+	31.5784i	0.0533578	+	1.01813i
$963$	−0.730551	−	13.9397i	−0.0235417	−	0.449202i
$964$	−18.8906	−	20.9801i	−0.608425	−	0.675724i
$965$	−15.5459	−	48.9429i	−0.500440	−	1.57553i
$966$	−1.80292	+	2.23739i	−0.0580079	+	0.0719869i
$967$	5.95817	+	0.943681i	0.191602	+	0.0303467i	0.251498	−	0.967858i	$-0.419077\pi$
$967$	5.95817	+	0.943681i	0.191602	+	0.0303467i	−0.0598960	+	0.998205i	$0.519077\pi$
$968$	−2.12955	−	7.94757i	−0.0684462	−	0.255445i
$969$	−3.84211	−	1.71062i	−0.123426	−	0.0549529i
$970$	17.5241	−	14.0001i	0.562665	−	0.449517i
$971$	4.05562	+	9.10906i	0.130151	+	0.292324i	0.966853	−	0.255335i	$-0.0821858\pi$
$971$	4.05562	+	9.10906i	0.130151	+	0.292324i	−0.836702	+	0.547659i	$0.815519\pi$
$972$	−5.33043	+	0.844258i	−0.170974	+	0.0270796i
$973$	−55.3897	+	0.133165i	−1.77571	+	0.00426906i
$974$			29.5765i			0.947693i
$975$	3.49900	+	0.792182i	0.112058	+	0.0253701i
$976$	−1.43765	+	0.830025i	−0.0460179	+	0.0265684i
$977$	−24.0703	−	15.6314i	−0.770077	−	0.500094i	0.0988088	−	0.995106i	$-0.468497\pi$
$977$	−24.0703	−	15.6314i	−0.770077	−	0.500094i	−0.868886	+	0.495013i	$0.835163\pi$
$978$	−0.566644	−	0.217514i	−0.0181193	−	0.00695533i
$979$	10.6435	+	7.73294i	0.340167	+	0.247146i
$980$	−13.9337	−	7.13112i	−0.445095	−	0.227795i
$981$	19.0894	−	13.8693i	0.609478	−	0.442812i
$982$	−15.5789	+	4.17434i	−0.497141	+	0.133209i
$983$	−11.4386	−	29.7985i	−0.364833	−	0.950423i	−0.986000	−	0.166745i	$-0.946674\pi$
$983$	−11.4386	−	29.7985i	−0.364833	−	0.950423i	0.621167	−	0.783678i	$-0.286659\pi$
$984$	1.73515	+	1.56233i	0.0553145	+	0.0498054i
$985$	−15.3023	+	13.5963i	−0.487572	+	0.433215i
$986$	2.59441	+	0.842975i	0.0826229	+	0.0268458i
$987$	0.217359	−	0.158720i	0.00691861	−	0.00505212i
$988$	19.3541	+	9.86139i	0.615735	+	0.313732i
$989$	−28.8547	+	25.9809i	−0.917527	+	0.826145i
$990$	−14.3381	−	25.2175i	−0.455695	−	0.801466i
$991$	19.7787	−	21.9665i	0.628291	−	0.697788i	−0.342008	−	0.939697i	$-0.611107\pi$
$991$	19.7787	−	21.9665i	0.628291	−	0.697788i	0.970299	+	0.241909i	$0.0777735\pi$
$992$	−1.67374	−	1.35536i	−0.0531411	−	0.0430329i
$993$	−0.108779	−	0.108779i	−0.00345198	−	0.00345198i
$994$	−36.9811	−	14.0938i	−1.17297	−	0.447028i
$995$	15.3954	−	29.7280i	0.488065	−	0.942442i
$996$	1.46621	−	0.652799i	0.0464587	−	0.0206847i
$997$	−12.5814	−	15.5367i	−0.398457	−	0.492053i	0.537946	−	0.842979i	$-0.319200\pi$
$997$	−12.5814	−	15.5367i	−0.398457	−	0.492053i	−0.936403	+	0.350926i	$0.885867\pi$
$998$	6.34919	−	9.77689i	0.200980	−	0.309482i
$999$	−5.44407	+	9.42940i	−0.172243	+	0.298333i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.x.a.47.5	yes	320
7.3	odd	6	inner	350.2.x.a.297.5	yes	320
25.8	odd	20	inner	350.2.x.a.33.5	✓	320
175.108	even	60	inner	350.2.x.a.283.5	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.x.a.33.5	✓	320	25.8	odd	20	inner
350.2.x.a.47.5	yes	320	1.1	even	1	trivial
350.2.x.a.283.5	yes	320	175.108	even	60	inner
350.2.x.a.297.5	yes	320	7.3	odd	6	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:	\( N \)	\(=\)	\( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	350.x (of order \(60\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.0523360 + 0.998630i) q^{2} +(-0.158245 + 0.128145i) q^{3} +(-0.994522 - 0.104528i) q^{4} +(-1.20544 - 1.88333i) q^{5} +(-0.119687 - 0.164735i) q^{6} +(0.823629 + 2.51429i) q^{7} +(0.156434 - 0.987688i) q^{8} +(-0.615115 + 2.89389i) q^{9} +(1.94383 - 1.10522i) q^{10} +(-4.28914 + 0.911686i) q^{11} +(0.170773 - 0.110901i) q^{12} +(-1.59973 + 3.13965i) q^{13} +(-2.55395 + 0.690913i) q^{14} +(0.432093 + 0.143558i) q^{15} +(0.978148 + 0.207912i) q^{16} +(3.12803 - 1.20074i) q^{17} +(-2.85773 - 0.765726i) q^{18} +(0.644356 + 6.13064i) q^{19} +(1.00197 + 1.99901i) q^{20} +(-0.452528 - 0.292331i) q^{21} +(-0.685960 - 4.33098i) q^{22} +(-5.32627 - 0.279138i) q^{23} +(0.101812 + 0.176343i) q^{24} +(-2.09384 + 4.54047i) q^{25} +(-3.05162 - 1.76185i) q^{26} +(-0.550827 - 1.08106i) q^{27} +(-0.556303 - 2.58661i) q^{28} +(0.478555 - 0.658674i) q^{29} +(-0.165975 + 0.423988i) q^{30} +(-0.875987 + 1.96750i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(0.561910 - 0.693901i) q^{33} +(1.03539 + 3.18659i) q^{34} +(3.74239 - 4.58198i) q^{35} +(0.914238 - 2.81374i) q^{36} +(-4.88758 - 7.52622i) q^{37} +(-6.15596 + 0.322620i) q^{38} +(-0.149179 - 0.701831i) q^{39} +(-2.04871 + 0.895979i) q^{40} +(10.9054 - 3.54337i) q^{41} +(0.315613 - 0.436608i) q^{42} +(5.14766 - 5.14766i) q^{43} +(4.36095 - 0.458354i) q^{44} +(6.19162 - 2.32994i) q^{45} +(0.557511 - 5.30436i) q^{46} +(-0.179032 + 0.466396i) q^{47} +(-0.181430 + 0.0924433i) q^{48} +(-5.64327 + 4.14168i) q^{49} +(-4.42466 - 2.32860i) q^{50} +(-0.341129 + 0.590852i) q^{51} +(1.91915 - 2.95523i) q^{52} +(1.91535 + 2.36525i) q^{53} +(1.10840 - 0.493494i) q^{54} +(6.88730 + 6.97888i) q^{55} +(2.61218 - 0.420168i) q^{56} +(-0.887575 - 0.887575i) q^{57} +(0.632726 + 0.512371i) q^{58} +(-5.51741 + 6.12770i) q^{59} +(-0.414720 - 0.187937i) q^{60} +(-1.23366 + 1.11079i) q^{61} +(-1.91896 - 0.977757i) q^{62} +(-7.78268 + 0.836915i) q^{63} +(-0.951057 - 0.309017i) q^{64} +(7.84135 - 0.771833i) q^{65} +(0.663542 + 0.597456i) q^{66} +(-1.25653 - 3.27338i) q^{67} +(-3.23641 + 0.867193i) q^{68} +(0.878628 - 0.638360i) q^{69} +(4.37984 + 3.97706i) q^{70} +(12.1015 + 8.79222i) q^{71} +(2.76203 + 1.06024i) q^{72} +(2.61118 + 1.69572i) q^{73} +(7.77170 - 4.48699i) q^{74} +(-0.250495 - 0.986822i) q^{75} -6.16441i q^{76} +(-5.82490 - 10.0332i) q^{77} +(0.708677 - 0.112243i) q^{78} +(6.08802 + 13.6739i) q^{79} +(-0.787530 - 2.09280i) q^{80} +(-7.88258 - 3.50955i) q^{81} +(2.96777 + 11.0759i) q^{82} +(7.78498 + 1.23302i) q^{83} +(0.419492 + 0.338031i) q^{84} +(-6.03203 - 4.44369i) q^{85} +(4.87120 + 5.41001i) q^{86} +(0.00867644 + 0.165556i) q^{87} +(0.229491 + 4.37896i) q^{88} +(-2.00757 - 2.22963i) q^{89} +(2.00270 + 6.30507i) q^{90} +(-9.21155 - 1.43627i) q^{91} +(5.26791 + 0.834355i) q^{92} +(-0.113503 - 0.423601i) q^{93} +(-0.456387 - 0.203196i) q^{94} +(10.7693 - 8.60364i) q^{95} +(-0.0828213 - 0.186020i) q^{96} +(9.90743 - 1.56918i) q^{97} +(-3.84066 - 5.85229i) q^{98} -12.9731i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100}) \) 320 * q + 12 * q^5 - 8 * q^7 + 12 * q^10 - 16 * q^15 - 40 * q^16 + 36 * q^17 + 8 * q^18 - 72 * q^22 + 44 * q^23 - 12 * q^25 - 24 * q^28 - 80 * q^29 + 20 * q^30 - 48 * q^33 - 28 * q^35 + 80 * q^36 - 4 * q^37 - 24 * q^38 - 40 * q^39 - 36 * q^42 + 88 * q^43 - 228 * q^45 - 12 * q^47 + 32 * q^50 - 52 * q^53 + 152 * q^57 + 32 * q^58 - 120 * q^59 - 8 * q^60 + 136 * q^63 + 8 * q^65 - 32 * q^67 - 144 * q^68 + 92 * q^70 + 8 * q^72 + 12 * q^73 - 432 * q^75 + 144 * q^77 - 16 * q^78 + 12 * q^80 - 40 * q^81 - 192 * q^82 + 60 * q^84 - 24 * q^85 + 24 * q^87 + 4 * q^88 - 300 * q^89 - 8 * q^92 - 68 * q^93 + 20 * q^95 - 40 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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