LMFDB - Embedded newform 570.2.bi.a.557.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [570,2,Mod(17,570)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(570, base_ring=CyclotomicField(36))

chi = DirichletCharacter(H, H._module([18, 9, 20]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("570.17");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 570 = 2 \cdot 3 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	570.bi (of order $36$, degree $12$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$4.55147291521$
Analytic rank:	$0$
Dimension:	$480$
Relative dimension:	$40$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			557.15
Character	$\chi$	$=$	570.557
Dual form			570.2.bi.a.263.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.0871557 + 0.996195i) q^{2} +(1.26729 - 1.18067i) q^{3} +(-0.984808 - 0.173648i) q^{4} +(1.84330 - 1.26579i) q^{5} +(1.06572 + 1.36537i) q^{6} +(2.25017 - 0.602930i) q^{7} +(0.258819 - 0.965926i) q^{8} +(0.212042 - 2.99250i) q^{9} +O(q^{10})$	\(q+(-0.0871557 + 0.996195i) q^{2} +(1.26729 - 1.18067i) q^{3} +(-0.984808 - 0.173648i) q^{4} +(1.84330 - 1.26579i) q^{5} +(1.06572 + 1.36537i) q^{6} +(2.25017 - 0.602930i) q^{7} +(0.258819 - 0.965926i) q^{8} +(0.212042 - 2.99250i) q^{9} +(1.10032 + 1.94661i) q^{10} +(-2.69412 + 1.55545i) q^{11} +(-1.45306 + 0.942669i) q^{12} +(1.15939 - 2.48632i) q^{13} +(0.404521 + 2.29415i) q^{14} +(0.841517 - 3.78046i) q^{15} +(0.939693 + 0.342020i) q^{16} +(0.243998 - 2.78891i) q^{17} +(2.96263 + 0.472048i) q^{18} +(-1.91371 + 3.91634i) q^{19} +(-2.03510 + 0.926476i) q^{20} +(2.13975 - 3.42079i) q^{21} +(-1.31472 - 2.81943i) q^{22} +(-4.18332 + 2.92919i) q^{23} +(-0.812440 - 1.52969i) q^{24} +(1.79554 - 4.66648i) q^{25} +(2.37581 + 1.37167i) q^{26} +(-3.26443 - 4.04271i) q^{27} +(-2.32068 + 0.203033i) q^{28} +(2.63334 + 2.20964i) q^{29} +(3.69273 + 1.16780i) q^{30} +(1.72020 - 2.97948i) q^{31} +(-0.422618 + 0.906308i) q^{32} +(-1.57776 + 5.15207i) q^{33} +(2.75703 + 0.486139i) q^{34} +(3.38456 - 3.95963i) q^{35} +(-0.728462 + 2.91021i) q^{36} +(-0.700489 - 0.700489i) q^{37} +(-3.73464 - 2.24776i) q^{38} +(-1.46624 - 4.51974i) q^{39} +(-0.745579 - 2.10811i) q^{40} +(-2.48141 + 6.81762i) q^{41} +(3.22128 + 2.42975i) q^{42} +(7.16220 + 5.01503i) q^{43} +(2.92329 - 1.06399i) q^{44} +(-3.39702 - 5.78448i) q^{45} +(-2.55345 - 4.42270i) q^{46} +(10.1097 - 0.884488i) q^{47} +(1.59467 - 0.676028i) q^{48} +(-1.36245 + 0.786613i) q^{49} +(4.49223 + 2.19542i) q^{50} +(-2.98356 - 3.82244i) q^{51} +(-1.57352 + 2.24722i) q^{52} +(2.75156 - 1.92666i) q^{53} +(4.31184 - 2.89966i) q^{54} +(-2.99720 + 6.27736i) q^{55} -2.32954i q^{56} +(2.19867 + 7.22259i) q^{57} +(-2.43074 + 2.43074i) q^{58} +(7.25725 - 6.08955i) q^{59} +(-1.48520 + 3.57689i) q^{60} +(0.249691 - 1.41607i) q^{61} +(2.81822 + 1.97334i) q^{62} +(-1.32714 - 6.86146i) q^{63} +(-0.866025 - 0.500000i) q^{64} +(-1.01006 - 6.05058i) q^{65} +(-4.99495 - 2.02078i) q^{66} +(1.34368 + 15.3584i) q^{67} +(-0.724580 + 2.70417i) q^{68} +(-1.84307 + 8.65125i) q^{69} +(3.64958 + 3.71678i) q^{70} +(-4.11707 + 0.725951i) q^{71} +(-2.83565 - 0.979332i) q^{72} +(-12.9382 + 6.03317i) q^{73} +(0.758875 - 0.636771i) q^{74} +(-3.23410 - 8.03372i) q^{75} +(2.56470 - 3.52453i) q^{76} +(-5.12439 + 5.12439i) q^{77} +(4.63033 - 1.06674i) q^{78} +(-3.12396 + 8.58302i) q^{79} +(2.16507 - 0.559009i) q^{80} +(-8.91008 - 1.26907i) q^{81} +(-6.57541 - 3.06616i) q^{82} +(0.496345 - 0.132995i) q^{83} +(-2.70126 + 2.99726i) q^{84} +(-3.08042 - 5.44966i) q^{85} +(-5.62017 + 6.69786i) q^{86} +(5.94606 - 0.308858i) q^{87} +(0.805160 + 3.00490i) q^{88} +(5.50603 - 2.00403i) q^{89} +(6.05854 - 2.87994i) q^{90} +(1.10974 - 6.29366i) q^{91} +(4.62841 - 2.15826i) q^{92} +(-1.33778 - 5.80685i) q^{93} +10.1484i q^{94} +(1.42972 + 9.64136i) q^{95} +(0.534470 + 1.64753i) q^{96} +(-5.20682 - 0.455538i) q^{97} +(-0.664874 - 1.42583i) q^{98} +(4.08341 + 8.39196i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 480 q+O(q^{10}) $ 480 * q	$ 480 q - 36 q^{15} - 48 q^{18} + 24 q^{22} - 24 q^{25} + 72 q^{33} + 24 q^{43} - 36 q^{45} + 24 q^{51} - 120 q^{55} + 108 q^{57} - 48 q^{60} - 48 q^{61} - 36 q^{63} - 24 q^{66} + 48 q^{67} - 48 q^{70} - 48 q^{78} - 144 q^{81} - 48 q^{85} - 96 q^{87} - 168 q^{90} - 144 q^{91} - 228 q^{93} + 48 q^{97}+O(q^{100}) $ 480 * q - 36 * q^15 - 48 * q^18 + 24 * q^22 - 24 * q^25 + 72 * q^33 + 24 * q^43 - 36 * q^45 + 24 * q^51 - 120 * q^55 + 108 * q^57 - 48 * q^60 - 48 * q^61 - 36 * q^63 - 24 * q^66 + 48 * q^67 - 48 * q^70 - 48 * q^78 - 144 * q^81 - 48 * q^85 - 96 * q^87 - 168 * q^90 - 144 * q^91 - 228 * q^93 + 48 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/570\mathbb{Z}\right)^\times$.

$n$	$191$	$211$	$457$
$\chi(n)$	$-1$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	−0.0871557	+	0.996195i	−0.0616284	+	0.704416i
$2$	−0.0871557	+	0.996195i	−0.0616284	+	0.704416i
$3$	1.26729	−	1.18067i	0.731670	−	0.681659i
$3$	1.26729	−	1.18067i	0.731670	−	0.681659i
$4$	−0.984808	−	0.173648i	−0.492404	−	0.0868241i
$5$	1.84330	−	1.26579i	0.824351	−	0.566080i
$5$	1.84330	−	1.26579i	0.824351	−	0.566080i
$6$	1.06572	+	1.36537i	0.435080	+	0.557409i
$7$	2.25017	−	0.602930i	0.850483	−	0.227886i	0.192853	−	0.981228i	$-0.438226\pi$
$7$	2.25017	−	0.602930i	0.850483	−	0.227886i	0.657630	+	0.753341i	$0.271559\pi$
$8$	0.258819	−	0.965926i	0.0915064	−	0.341506i
$9$	0.212042	−	2.99250i	0.0706807	−	0.997499i
$10$	1.10032	+	1.94661i	0.347952	+	0.615572i
$11$	−2.69412	+	1.55545i	−0.812307	+	0.468986i	−0.847757	−	0.530386i	$-0.822047\pi$
$11$	−2.69412	+	1.55545i	−0.812307	+	0.468986i	0.0354491	+	0.999371i	$0.488714\pi$
$12$	−1.45306	+	0.942669i	−0.419461	+	0.272125i
$13$	1.15939	−	2.48632i	0.321557	−	0.689580i	−0.677383	−	0.735631i	$-0.736886\pi$
$13$	1.15939	−	2.48632i	0.321557	−	0.689580i	0.998939	+	0.0460507i	$0.0146636\pi$
$14$	0.404521	+	2.29415i	0.108113	+	0.613138i
$15$	0.841517	−	3.78046i	0.217279	−	0.976110i
$16$	0.939693	+	0.342020i	0.234923	+	0.0855050i
$17$	0.243998	−	2.78891i	0.0591782	−	0.676410i	−0.907439	−	0.420184i	$-0.861965\pi$
$17$	0.243998	−	2.78891i	0.0591782	−	0.676410i	0.966617	−	0.256226i	$-0.0824790\pi$
$18$	2.96263	+	0.472048i	0.698298	+	0.111263i
$19$	−1.91371	+	3.91634i	−0.439036	+	0.898470i
$19$	−1.91371	+	3.91634i	−0.439036	+	0.898470i
$20$	−2.03510	+	0.926476i	−0.455063	+	0.207166i
$21$	2.13975	−	3.42079i	0.466932	−	0.746477i
$22$	−1.31472	−	2.81943i	−0.280300	−	0.601105i
$23$	−4.18332	+	2.92919i	−0.872282	+	0.610779i	−0.921659	−	0.388002i	$-0.873166\pi$
$23$	−4.18332	+	2.92919i	−0.872282	+	0.610779i	0.0493763	+	0.998780i	$0.484277\pi$
$24$	−0.812440	−	1.52969i	−0.165839	−	0.312246i
$25$	1.79554	−	4.66648i	0.359108	−	0.933296i
$26$	2.37581	+	1.37167i	0.465934	+	0.269007i
$27$	−3.26443	−	4.04271i	−0.628240	−	0.778020i
$28$	−2.32068	+	0.203033i	−0.438567	+	0.0383696i
$29$	2.63334	+	2.20964i	0.489000	+	0.410319i	0.853668	−	0.520818i	$-0.174373\pi$
$29$	2.63334	+	2.20964i	0.489000	+	0.410319i	−0.364668	+	0.931138i	$0.618818\pi$
$30$	3.69273	+	1.16780i	0.674197	+	0.213211i
$31$	1.72020	−	2.97948i	0.308958	−	0.535131i	−0.669177	−	0.743103i	$-0.733353\pi$
$31$	1.72020	−	2.97948i	0.308958	−	0.535131i	0.978135	+	0.207973i	$0.0666865\pi$
$32$	−0.422618	+	0.906308i	−0.0747091	+	0.160214i
$33$	−1.57776	+	5.15207i	−0.274652	+	0.896860i
$34$	2.75703	+	0.486139i	0.472827	+	0.0833722i
$35$	3.38456	−	3.95963i	0.572094	−	0.669299i
$36$	−0.728462	+	2.91021i	−0.121410	+	0.485036i
$37$	−0.700489	−	0.700489i	−0.115160	−	0.115160i	0.647179	−	0.762338i	$-0.275949\pi$
$37$	−0.700489	−	0.700489i	−0.115160	−	0.115160i	−0.762338	+	0.647179i	$0.775949\pi$
$38$	−3.73464	−	2.24776i	−0.605839	−	0.364635i
$39$	−1.46624	−	4.51974i	−0.234786	−	0.723737i
$40$	−0.745579	−	2.10811i	−0.117886	−	0.333321i
$41$	−2.48141	+	6.81762i	−0.387531	+	1.06473i	0.580578	+	0.814205i	$0.302827\pi$
$41$	−2.48141	+	6.81762i	−0.387531	+	1.06473i	−0.968109	+	0.250529i	$0.919396\pi$
$42$	3.22128	+	2.42975i	0.497054	+	0.374918i
$43$	7.16220	+	5.01503i	1.09222	+	0.764784i	0.973624	−	0.228158i	$-0.0732702\pi$
$43$	7.16220	+	5.01503i	1.09222	+	0.764784i	0.118601	+	0.992942i	$0.462159\pi$
$44$	2.92329	−	1.06399i	0.440703	−	0.160403i
$45$	−3.39702	−	5.78448i	−0.506398	−	0.862300i
$46$	−2.55345	−	4.42270i	−0.376485	−	0.652091i
$47$	10.1097	−	0.884488i	1.47466	−	0.129016i	0.678721	−	0.734396i	$-0.262535\pi$
$47$	10.1097	−	0.884488i	1.47466	−	0.129016i	0.795936	+	0.605381i	$0.206979\pi$
$48$	1.59467	−	0.676028i	0.230171	−	0.0975762i
$49$	−1.36245	+	0.786613i	−0.194636	+	0.112373i
$50$	4.49223	+	2.19542i	0.635297	+	0.310479i
$51$	−2.98356	−	3.82244i	−0.417782	−	0.535248i
$52$	−1.57352	+	2.24722i	−0.218208	+	0.311633i
$53$	2.75156	−	1.92666i	0.377955	−	0.264647i	−0.369127	−	0.929379i	$-0.620343\pi$
$53$	2.75156	−	1.92666i	0.377955	−	0.264647i	0.747082	+	0.664732i	$0.231454\pi$
$54$	4.31184	−	2.89966i	0.586767	−	0.394594i
$55$	−2.99720	+	6.27736i	−0.404143	+	0.846439i
$56$		−	2.32954i		−	0.311298i
$57$	2.19867	+	7.22259i	0.291221	+	0.956656i
$58$	−2.43074	+	2.43074i	−0.319172	+	0.319172i
$59$	7.25725	−	6.08955i	0.944813	−	0.792792i	−0.0336032	−	0.999435i	$-0.510698\pi$
$59$	7.25725	−	6.08955i	0.944813	−	0.792792i	0.978416	+	0.206643i	$0.0662538\pi$
$60$	−1.48520	+	3.57689i	−0.191739	+	0.461775i
$61$	0.249691	−	1.41607i	0.0319696	−	0.181309i	−0.964642	−	0.263565i	$-0.915102\pi$
$61$	0.249691	−	1.41607i	0.0319696	−	0.181309i	0.996611	+	0.0822565i	$0.0262127\pi$
$62$	2.81822	+	1.97334i	0.357914	+	0.250614i
$63$	−1.32714	−	6.86146i	−0.167204	−	0.864463i
$64$	−0.866025	−	0.500000i	−0.108253	−	0.0625000i
$65$	−1.01006	−	6.05058i	−0.125282	−	0.750483i
$66$	−4.99495	−	2.02078i	−0.614836	−	0.248741i
$67$	1.34368	+	15.3584i	0.164157	+	1.87632i	0.417127	+	0.908848i	$0.363037\pi$
$67$	1.34368	+	15.3584i	0.164157	+	1.87632i	−0.252970	+	0.967474i	$0.581407\pi$
$68$	−0.724580	+	2.70417i	−0.0878683	+	0.327929i
$69$	−1.84307	+	8.65125i	−0.221879	+	1.04149i
$70$	3.64958	+	3.71678i	0.436208	+	0.444240i
$71$	−4.11707	+	0.725951i	−0.488607	+	0.0861545i	−0.412523	−	0.910947i	$-0.635353\pi$
$71$	−4.11707	+	0.725951i	−0.488607	+	0.0861545i	−0.0760831	+	0.997101i	$0.524241\pi$
$72$	−2.83565	−	0.979332i	−0.334185	−	0.115415i
$73$	−12.9382	+	6.03317i	−1.51430	+	0.706130i	−0.989424	−	0.145050i	$-0.953666\pi$
$73$	−12.9382	+	6.03317i	−1.51430	+	0.706130i	−0.524875	+	0.851179i	$0.675888\pi$
$74$	0.758875	−	0.636771i	0.0882174	−	0.0740232i
$75$	−3.23410	−	8.03372i	−0.373442	−	0.927654i
$76$	2.56470	−	3.52453i	0.294192	−	0.404291i
$77$	−5.12439	+	5.12439i	−0.583978	+	0.583978i
$78$	4.63033	−	1.06674i	0.524281	−	0.120784i
$79$	−3.12396	+	8.58302i	−0.351473	+	0.965665i	0.630424	+	0.776251i	$0.282881\pi$
$79$	−3.12396	+	8.58302i	−0.351473	+	0.965665i	−0.981897	+	0.189414i	$0.939341\pi$
$80$	2.16507	−	0.559009i	0.242062	−	0.0624991i
$81$	−8.91008	−	1.26907i	−0.990008	−	0.141008i
$82$	−6.57541	−	3.06616i	−0.726132	−	0.338601i
$83$	0.496345	−	0.132995i	0.0544809	−	0.0145981i	−0.231476	−	0.972841i	$-0.574355\pi$
$83$	0.496345	−	0.132995i	0.0544809	−	0.0145981i	0.285957	+	0.958243i	$0.407689\pi$
$84$	−2.70126	+	2.99726i	−0.294731	+	0.327027i
$85$	−3.08042	−	5.44966i	−0.334118	−	0.591099i
$86$	−5.62017	+	6.69786i	−0.606038	+	0.722248i
$87$	5.94606	−	0.308858i	0.637484	−	0.0331130i
$88$	0.805160	+	3.00490i	0.0858304	+	0.320323i
$89$	5.50603	−	2.00403i	0.583638	−	0.212427i	−0.0332908	−	0.999446i	$-0.510599\pi$
$89$	5.50603	−	2.00403i	0.583638	−	0.212427i	0.616929	+	0.787019i	$0.288377\pi$
$90$	6.05854	−	2.87994i	0.638626	−	0.303573i
$91$	1.10974	−	6.29366i	0.116333	−	0.659755i
$92$	4.62841	−	2.15826i	0.482546	−	0.225015i
$93$	−1.33778	−	5.80685i	−0.138722	−	0.602143i
$94$			10.1484i			1.04672i
$95$	1.42972	+	9.64136i	0.146686	+	0.989183i
$96$	0.534470	+	1.64753i	0.0545491	+	0.168150i
$97$	−5.20682	−	0.455538i	−0.528673	−	0.0462529i	−0.180305	−	0.983611i	$-0.557708\pi$
$97$	−5.20682	−	0.455538i	−0.528673	−	0.0462529i	−0.348368	+	0.937358i	$0.613264\pi$
$98$	−0.664874	−	1.42583i	−0.0671624	−	0.144030i
$99$	4.08341	+	8.39196i	0.410399	+	0.843424i
$100$	−2.57859	+	4.28379i	−0.257859	+	0.428379i
$101$	−0.857516	−	2.35601i	−0.0853261	−	0.234431i	0.889690	−	0.456565i	$-0.150920\pi$
$101$	−0.857516	−	2.35601i	−0.0853261	−	0.234431i	−0.975016	+	0.222133i	$0.928698\pi$
$102$	4.06792	−	2.63906i	0.402785	−	0.261306i
$103$	−5.94797	−	1.59375i	−0.586071	−	0.157037i	−0.0464142	−	0.998922i	$-0.514779\pi$
$103$	−5.94797	−	1.59375i	−0.586071	−	0.157037i	−0.539657	+	0.841885i	$0.681446\pi$
$104$	−2.10153	−	1.76339i	−0.206072	−	0.172915i
$105$	−0.385798	−	9.01403i	−0.0376501	−	0.879679i
$106$	1.67951	+	2.90900i	0.163129	+	0.282547i
$107$	3.29901	+	12.3121i	0.318927	+	1.19025i	0.920277	+	0.391267i	$0.127963\pi$
$107$	3.29901	+	12.3121i	0.318927	+	1.19025i	−0.601350	+	0.798986i	$0.705370\pi$
$108$	2.51283	+	4.54815i	0.241797	+	0.437646i
$109$	11.0287	−	1.94466i	1.05636	−	0.186265i	0.381619	−	0.924320i	$-0.375367\pi$
$109$	11.0287	−	1.94466i	1.05636	−	0.186265i	0.674741	+	0.738055i	$0.264255\pi$
$110$	−5.99225	−	3.53291i	−0.571339	−	0.336849i
$111$	−1.71477	−	0.0606763i	−0.162758	−	0.00575914i
$112$	2.32068	+	0.203033i	0.219284	+	0.0191848i
$113$	2.98202	+	2.98202i	0.280525	+	0.280525i	0.833318	−	0.552794i	$-0.186438\pi$
$113$	2.98202	+	2.98202i	0.280525	+	0.280525i	−0.552794	+	0.833318i	$0.686438\pi$
$114$	−7.38674	+	1.56081i	−0.691831	+	0.146184i
$115$	−4.00338	+	10.6946i	−0.373317	+	0.997277i
$116$	−2.20964	−	2.63334i	−0.205160	−	0.244500i
$117$	−7.19446	−	3.99667i	−0.665128	−	0.369492i
$118$	5.43387	+	7.76037i	0.500228	+	0.714400i
$119$	−1.13248	−	6.42262i	−0.103814	−	0.588761i
$120$	−3.43384	−	1.79130i	−0.313465	−	0.163522i
$121$	−0.661149	+	1.14514i	−0.0601045	+	0.104104i
$122$	1.38892	+	0.372159i	0.125747	+	0.0336937i
$123$	4.90469	+	11.5696i	0.442241	+	1.04320i
$124$	−2.21145	+	2.63551i	−0.198594	+	0.236675i
$125$	−2.59707	−	10.8745i	−0.232289	−	0.972647i
$126$	6.95102	−	0.724071i	0.619246	−	0.0645054i
$127$	0.510609	+	0.238101i	0.0453092	+	0.0211280i	0.445141	−	0.895461i	$-0.353154\pi$
$127$	0.510609	+	0.238101i	0.0453092	+	0.0211280i	−0.399832	+	0.916589i	$0.630931\pi$
$128$	0.573576	−	0.819152i	0.0506975	−	0.0724035i
$129$	14.9977	−	2.10070i	1.32047	−	0.184956i
$130$	6.11559	−	0.478869i	0.536373	−	0.0419996i
$131$	−9.74782	−	11.6170i	−0.851671	−	1.01498i	−0.999662	−	0.0259929i	$-0.991725\pi$
$131$	−9.74782	−	11.6170i	−0.851671	−	1.01498i	0.147991	−	0.988989i	$-0.452719\pi$
$132$	2.44843	−	4.79982i	0.213109	−	0.417771i
$133$	−1.94489	+	9.96625i	−0.168644	+	0.864183i
$134$	−15.4170			−1.33183
$135$	−11.1346	−	3.31985i	−0.958311	−	0.285727i
$136$	−2.63073	−	0.957507i	−0.225583	−	0.0821055i
$137$	−6.11580	−	8.73427i	−0.522508	−	0.746219i	0.467992	−	0.883733i	$-0.344978\pi$
$137$	−6.11580	−	8.73427i	−0.522508	−	0.746219i	−0.990500	+	0.137514i	$0.956089\pi$
$138$	−8.45769	−	2.59006i	−0.719967	−	0.220481i
$139$	−5.40979	−	14.8633i	−0.458852	−	1.26069i	−0.926341	−	0.376687i	$-0.877063\pi$
$139$	−5.40979	−	14.8633i	−0.458852	−	1.26069i	0.467488	−	0.883999i	$-0.345159\pi$
$140$	−4.02072	+	3.31175i	−0.339813	+	0.279894i
$141$	11.7677	−	13.0572i	0.991017	−	1.09961i
$142$	−0.364362	−	4.16468i	−0.0305766	−	0.349492i
$143$	0.743812	+	8.50181i	0.0622006	+	0.710957i
$144$	1.22275	−	2.73950i	0.101896	−	0.228292i
$145$	7.65099	+	0.739768i	0.635380	+	0.0614344i
$146$	−4.88258	−	13.4148i	−0.404085	−	1.11021i
$147$	−0.797893	+	2.60547i	−0.0658091	+	0.214896i
$148$	0.568208	+	0.811485i	0.0467064	+	0.0667037i
$149$	−18.8235	−	6.85120i	−1.54208	−	0.561272i	−0.575539	−	0.817774i	$-0.695208\pi$
$149$	−18.8235	−	6.85120i	−1.54208	−	0.561272i	−0.966544	+	0.256502i	$0.917430\pi$
$150$	8.28502	−	2.52161i	0.676469	−	0.205889i
$151$	−7.93247			−0.645535			−0.322768	−	0.946478i	$-0.604613\pi$
$151$	−7.93247			−0.645535			−0.322768	+	0.946478i	$0.604613\pi$
$152$	3.28759	+	2.86213i	0.266658	+	0.232149i
$153$	−8.29407	−	1.32153i	−0.670536	−	0.106839i
$154$	−4.65827	−	5.55151i	−0.375374	−	0.447353i
$155$	−0.600545	−	7.66951i	−0.0482369	−	0.616030i
$156$	0.659117	+	4.70568i	0.0527716	+	0.376756i
$157$	−11.6116	+	16.5831i	−0.926709	+	1.32348i	0.0194613	+	0.999811i	$0.493805\pi$
$157$	−11.6116	+	16.5831i	−0.926709	+	1.32348i	−0.946171	+	0.323668i	$0.895084\pi$
$158$	−8.27809	−	3.86013i	−0.658569	−	0.307096i
$159$	1.21227	−	5.69031i	0.0961391	−	0.451271i
$160$	0.368184	+	2.20555i	0.0291075	+	0.174364i
$161$	−7.64707	+	9.11342i	−0.602673	+	0.718238i
$162$	2.04081	−	8.76556i	0.160341	−	0.688688i
$163$	−8.27822	−	2.21814i	−0.648401	−	0.173738i	−0.0803949	−	0.996763i	$-0.525618\pi$
$163$	−8.27822	−	2.21814i	−0.648401	−	0.173738i	−0.568006	+	0.823025i	$0.692285\pi$
$164$	3.62758	−	6.28315i	0.283266	−	0.490632i
$165$	3.61316	+	11.4939i	0.281284	+	0.894802i
$166$	0.0892298	+	0.506047i	0.00692558	+	0.0392769i
$167$	14.5623	+	20.7971i	1.12686	+	1.60933i	0.716811	+	0.697267i	$0.245601\pi$
$167$	14.5623	+	20.7971i	1.12686	+	1.60933i	0.410053	+	0.912062i	$0.365510\pi$
$168$	−2.75042	−	2.95220i	−0.212199	−	0.227768i
$169$	3.51865	+	4.19336i	0.270665	+	0.322566i
$170$	5.69740	−	2.59373i	0.436970	−	0.198930i
$171$	11.3138	+	6.55721i	0.865191	+	0.501442i
$172$	−6.18254	−	6.18254i	−0.471414	−	0.471414i
$173$	4.45927	+	0.390136i	0.339032	+	0.0296615i	0.255401	−	0.966835i	$-0.417793\pi$
$173$	4.45927	+	0.390136i	0.339032	+	0.0296615i	0.0836314	+	0.996497i	$0.473348\pi$
$174$	−0.210551	+	5.95035i	−0.0159618	+	0.451095i
$175$	1.22670	−	11.5829i	0.0927298	−	0.875588i
$176$	−3.06364	+	0.540202i	−0.230930	+	0.0407193i
$177$	2.00728	−	16.2856i	0.150877	−	1.22410i
$178$	1.51652	+	5.65974i	0.113668	+	0.424216i
$179$	−3.88844	−	6.73498i	−0.290636	−	0.503396i	0.683324	−	0.730115i	$-0.260533\pi$
$179$	−3.88844	−	6.73498i	−0.290636	−	0.503396i	−0.973960	+	0.226719i	$0.927200\pi$
$180$	2.34095	+	6.28649i	0.174484	+	0.468567i
$181$	−9.52364	−	7.99129i	−0.707887	−	0.593988i	0.216118	−	0.976367i	$-0.430660\pi$
$181$	−9.52364	−	7.99129i	−0.707887	−	0.593988i	−0.924005	+	0.382380i	$0.875105\pi$
$182$	6.17299	+	1.65405i	0.457572	+	0.122606i
$183$	−1.35548	−	2.08937i	−0.100200	−	0.154451i
$184$	1.74666	+	4.79891i	0.128765	+	0.353780i
$185$	−2.17789	−	0.404540i	−0.160121	−	0.0297424i
$186$	5.90135	−	0.826593i	0.432708	−	0.0606088i
$187$	3.68065	+	7.89318i	0.269156	+	0.577207i
$188$	−10.1097	−	0.884488i	−0.737329	−	0.0645079i
$189$	−9.78298	−	7.12855i	−0.711607	−	0.518525i
$190$	−9.72928	+	0.583974i	−0.705836	+	0.0423660i
$191$			22.3719i			1.61877i	0.587276	+	0.809387i	$0.300200\pi$
$191$			22.3719i			1.61877i	−0.587276	+	0.809387i	$0.699800\pi$
$192$	−1.68784	+	0.388845i	−0.121809	+	0.0280625i
$193$	−9.04505	+	4.21778i	−0.651077	+	0.303602i	−0.719953	−	0.694023i	$-0.755837\pi$
$193$	−9.04505	+	4.21778i	−0.651077	+	0.303602i	0.0688757	+	0.997625i	$0.478059\pi$
$194$	0.907609	−	5.14731i	0.0651625	−	0.369555i
$195$	−8.42377	−	6.47530i	−0.603239	−	0.463706i
$196$	1.47835	−	0.538075i	0.105596	−	0.0384339i
$197$	2.30977	+	8.62017i	0.164564	+	0.614162i	0.998095	+	0.0616894i	$0.0196488\pi$
$197$	2.30977	+	8.62017i	0.164564	+	0.614162i	−0.833531	+	0.552472i	$0.813685\pi$
$198$	−8.71592	+	3.33647i	−0.619414	+	0.237112i
$199$	14.8895	−	17.7446i	1.05549	−	1.25788i	0.0904104	−	0.995905i	$-0.471182\pi$
$199$	14.8895	−	17.7446i	1.05549	−	1.25788i	0.965075	−	0.261974i	$-0.0843734\pi$
$200$	−4.04275	−	2.94213i	−0.285866	−	0.208040i
$201$	19.8360	+	17.8770i	1.39912	+	1.26095i
$202$	2.42178	−	0.648914i	0.170396	−	0.0456574i
$203$	7.25772	+	3.38433i	0.509392	+	0.237533i
$204$	2.27448	+	4.28245i	0.159245	+	0.299832i
$205$	4.05570	+	15.7079i	0.283262	+	1.09709i
$206$	2.10609	−	5.78644i	0.146738	−	0.403160i
$207$	7.87856	+	13.1397i	0.547598	+	0.913271i
$208$	1.93984	−	1.93984i	0.134504	−	0.134504i
$209$	−0.935898	−	13.5278i	−0.0647374	−	0.935735i
$210$	9.01335	+	0.401294i	0.621981	+	0.0276919i
$211$	−13.2765	+	11.1403i	−0.913994	+	0.766932i	−0.972875	−	0.231333i	$-0.925691\pi$
$211$	−13.2765	+	11.1403i	−0.913994	+	0.766932i	0.0588806	+	0.998265i	$0.481247\pi$
$212$	−3.04431	+	1.41959i	−0.209084	+	0.0974976i
$213$	−4.36041	+	5.78089i	−0.298770	+	0.396100i
$214$	−12.5527	+	2.21339i	−0.858088	+	0.151304i
$215$	19.5501	+	0.178360i	1.33330	+	0.0121641i
$216$	−4.74985	+	2.10687i	−0.323187	+	0.143354i
$217$	2.07433	−	7.74149i	0.140814	−	0.525527i
$218$	0.976045	+	11.1562i	0.0661061	+	0.755596i
$219$	−9.27323	+	22.9215i	−0.626627	+	1.54889i
$220$	4.04172	−	5.66154i	0.272493	−	0.381701i
$221$	−6.65123	−	3.84009i	−0.447410	−	0.258312i
$222$	0.209897	−	1.70295i	0.0140874	−	0.114295i
$223$	−4.92198	−	3.44641i	−0.329600	−	0.230789i	0.397049	−	0.917798i	$-0.370034\pi$
$223$	−4.92198	−	3.44641i	−0.329600	−	0.230789i	−0.726649	+	0.687009i	$0.758923\pi$
$224$	−0.404521	+	2.29415i	−0.0270282	+	0.153285i
$225$	−13.5837	−	6.36264i	−0.905580	−	0.424176i
$226$	−3.23057	+	2.71077i	−0.214894	+	0.180318i
$227$	12.8868	−	12.8868i	0.855327	−	0.855327i	−0.135457	−	0.990783i	$-0.543250\pi$
$227$	12.8868	−	12.8868i	0.855327	−	0.855327i	0.990783	+	0.135457i	$0.0432502\pi$
$228$	−0.911078	−	7.49466i	−0.0603376	−	0.496346i
$229$		−	25.8039i		−	1.70517i	−0.522586	−	0.852586i	$-0.675033\pi$
$229$		−	25.8039i		−	1.70517i	0.522586	−	0.852586i	$-0.324967\pi$
$230$	−10.3050	−	4.92024i	−0.679491	−	0.324431i
$231$	−0.443874	+	12.5443i	−0.0292048	+	0.825353i
$232$	2.81591	−	1.97172i	0.184873	−	0.129450i
$233$	7.20456	−	10.2892i	0.471986	−	0.674067i	−0.510611	−	0.859812i	$-0.670581\pi$
$233$	7.20456	−	10.2892i	0.471986	−	0.674067i	0.982598	+	0.185745i	$0.0594698\pi$
$234$	4.60850	−	6.81875i	0.301267	−	0.445755i
$235$	17.5157	−	14.4272i	1.14260	−	0.941127i
$236$	−8.20443	+	4.73683i	−0.534063	+	0.308342i
$237$	6.17474	+	14.5655i	0.401092	+	0.946133i
$238$	6.49689	−	0.568404i	0.421131	−	0.0368442i
$239$	5.08565	+	8.80861i	0.328963	+	0.569781i	0.982306	−	0.187281i	$-0.0599674\pi$
$239$	5.08565	+	8.80861i	0.328963	+	0.569781i	−0.653343	+	0.757062i	$0.726634\pi$
$240$	2.08376	−	3.26465i	0.134506	−	0.210732i
$241$	27.2536	−	9.91952i	1.75556	−	0.638972i	0.755689	−	0.654931i	$-0.227302\pi$
$241$	27.2536	−	9.91952i	1.75556	−	0.638972i	0.999873	+	0.0159586i	$0.00507999\pi$
$242$	−1.08316	−	0.758439i	−0.0696284	−	0.0487543i
$243$	−12.7900	+	8.91157i	−0.820478	+	0.571678i
$244$	−0.491795	+	1.35120i	−0.0314839	+	0.0865014i
$245$	−1.51573	+	3.17455i	−0.0968363	+	0.202815i
$246$	−11.9531	+	3.87766i	−0.762099	+	0.247231i
$247$	7.51852	+	9.29866i	0.478392	+	0.591659i
$248$	−2.43274	−	2.43274i	−0.154479	−	0.154479i
$249$	0.471989	−	0.754562i	0.0299111	−	0.0478184i
$250$	11.0595	−	1.63941i	0.699464	−	0.103685i
$251$	−13.6666	−	2.40979i	−0.862629	−	0.152105i	−0.275207	−	0.961385i	$-0.588746\pi$
$251$	−13.6666	−	2.40979i	−0.862629	−	0.152105i	−0.587423	+	0.809280i	$0.699857\pi$
$252$	0.115495	+	6.98768i	0.00727547	+	0.440182i
$253$	6.71415	−	14.3985i	0.422115	−	0.905228i
$254$	−0.281697	+	0.487914i	−0.0176752	+	0.0306144i
$255$	−10.3380	−	3.26934i	−0.647392	−	0.204734i
$256$	0.766044	+	0.642788i	0.0478778	+	0.0401742i
$257$	−6.52172	+	0.570576i	−0.406814	+	0.0355916i	−0.288726	−	0.957412i	$-0.593232\pi$
$257$	−6.52172	+	0.570576i	−0.406814	+	0.0355916i	−0.118087	+	0.993003i	$0.537676\pi$
$258$	0.785573	+	15.1237i	0.0489077	+	0.941559i
$259$	−1.99856	−	1.15387i	−0.124185	−	0.0716980i
$260$	−0.0559625	+	6.13406i	−0.00347065	+	0.380418i
$261$	7.17071	−	7.41174i	0.443856	−	0.458775i
$262$	12.4224	−	8.69823i	0.767456	−	0.537379i
$263$	7.03068	+	15.0774i	0.433531	+	0.929709i	0.994778	+	0.102061i	$0.0325438\pi$
$263$	7.03068	+	15.0774i	0.433531	+	0.929709i	−0.561248	+	0.827648i	$0.689678\pi$
$264$	4.56816	+	2.85745i	0.281151	+	0.175864i
$265$	2.63320	−	7.03432i	0.161756	−	0.432115i
$266$	−9.75881	−	2.80611i	−0.598351	−	0.172054i
$267$	4.61163	−	9.04049i	0.282227	−	0.553269i
$268$	1.34368	−	15.3584i	0.0820785	−	0.938161i
$269$	3.95772	+	1.44049i	0.241306	+	0.0878283i	0.459842	−	0.888001i	$-0.347906\pi$
$269$	3.95772	+	1.44049i	0.241306	+	0.0878283i	−0.218536	+	0.975829i	$0.570128\pi$
$270$	4.27766	−	10.8029i	0.260330	−	0.657441i
$271$	2.66505	+	15.1143i	0.161890	+	0.918126i	0.952213	+	0.305435i	$0.0988019\pi$
$271$	2.66505	+	15.1143i	0.161890	+	0.918126i	−0.790323	+	0.612691i	$0.790087\pi$
$272$	1.18315	−	2.53727i	0.0717388	−	0.153844i
$273$	−6.02436	−	9.28612i	−0.364611	−	0.562022i
$274$	9.23406	−	5.33128i	0.557850	−	0.322075i
$275$	2.42108	+	15.3649i	0.145997	+	0.926540i
$276$	3.31734	−	8.19977i	0.199680	−	0.493568i
$277$	−4.27280	+	15.9463i	−0.256728	+	0.958121i	0.710393	+	0.703805i	$0.248517\pi$
$277$	−4.27280	+	15.9463i	−0.256728	+	0.958121i	−0.967121	+	0.254316i	$0.918150\pi$
$278$	15.2782	−	4.09378i	0.916326	−	0.245529i
$279$	−8.55133	−	5.77948i	−0.511955	−	0.346008i
$280$	−2.94872	−	4.29406i	−0.176220	−	0.256619i
$281$	11.7981	+	2.08033i	0.703816	+	0.124102i	0.514091	−	0.857735i	$-0.328129\pi$
$281$	11.7981	+	2.08033i	0.703816	+	0.124102i	0.189725	+	0.981837i	$0.439240\pi$
$282$	11.9818	+	12.8609i	0.713509	+	0.765855i
$283$	1.26609	−	14.4714i	0.0752610	−	0.860238i	−0.860925	−	0.508732i	$-0.830114\pi$
$283$	1.26609	−	14.4714i	0.0752610	−	0.860238i	0.936186	−	0.351505i	$-0.114330\pi$
$284$	4.18058			0.248072
$285$	13.1951	+	10.5304i	0.781612	+	0.623766i
$286$	−8.53428			−0.504643
$287$	−1.47304	+	16.8369i	−0.0869506	+	0.993850i
$288$	2.62251	+	1.45686i	0.154533	+	0.0858463i
$289$	9.02325	+	1.59104i	0.530779	+	0.0935907i
$290$	−1.40378	+	7.55740i	−0.0824328	+	0.443786i
$291$	−7.13639	+	5.57023i	−0.418342	+	0.326533i
$292$	13.7893	−	3.69482i	0.806956	−	0.216223i
$293$	4.56520	−	17.0376i	0.266702	−	0.995345i	−0.694499	−	0.719494i	$-0.744374\pi$
$293$	4.56520	−	17.0376i	0.266702	−	0.995345i	0.961200	−	0.275851i	$-0.0889596\pi$
$294$	−2.52602	−	1.02194i	−0.147320	−	0.0596007i
$295$	5.66920	−	20.4111i	0.330074	−	1.18838i
$296$	−0.857920	+	0.495320i	−0.0498656	+	0.0287899i
$297$	15.0830	+	5.81388i	0.875204	+	0.337356i
$298$	8.46571	−	18.1548i	0.490405	−	1.05168i
$299$	2.43281	+	13.7971i	0.140693	+	0.797909i
$300$	1.78993	+	8.47326i	0.103342	+	0.489204i
$301$	19.1398	+	6.96633i	1.10320	+	0.401533i
$302$	0.691360	−	7.90228i	0.0397833	−	0.454725i
$303$	−3.86838	−	1.97330i	−0.222233	−	0.113363i
$304$	−3.13777	+	3.02563i	−0.179963	+	0.173532i
$305$	−1.33219	−	2.92630i	−0.0762810	−	0.167559i
$306$	2.03938	−	8.14733i	0.116583	−	0.465752i
$307$	2.16459	+	4.64197i	0.123539	+	0.264931i	0.958345	−	0.285614i	$-0.0921976\pi$
$307$	2.16459	+	4.64197i	0.123539	+	0.264931i	−0.834805	+	0.550545i	$0.814420\pi$
$308$	5.93638	−	4.15670i	0.338256	−	0.236850i
$309$	−9.41950	+	5.00284i	−0.535856	+	0.284602i
$310$	7.69267	+	0.0701821i	0.436914	+	0.00398607i
$311$	0.643863	+	0.371734i	0.0365101	+	0.0210791i	0.518144	−	0.855293i	$-0.326623\pi$
$311$	0.643863	+	0.371734i	0.0365101	+	0.0210791i	−0.481634	+	0.876373i	$0.659956\pi$
$312$	−4.74522	+	0.246482i	−0.268645	+	0.0139543i
$313$	23.5787	−	2.06287i	1.33275	−	0.116600i	0.601588	−	0.798807i	$-0.294535\pi$
$313$	23.5787	−	2.06287i	1.33275	−	0.116600i	0.731160	+	0.682206i	$0.238979\pi$
$314$	−15.5080	−	13.0128i	−0.875168	−	0.734353i
$315$	−11.1315	−	10.9679i	−0.627189	−	0.617970i
$316$	4.56693	−	7.91015i	0.256910	−	0.444981i
$317$	−5.64106	+	12.0973i	−0.316834	+	0.679452i	−0.998643	−	0.0520780i	$-0.983416\pi$
$317$	−5.64106	+	12.0973i	−0.316834	+	0.679452i	0.681809	+	0.731530i	$0.261193\pi$
$318$	5.56300	+	1.70360i	0.311958	+	0.0955330i
$319$	−10.5315	−	1.85699i	−0.589652	−	0.103972i
$320$	−2.22924	+	0.174556i	−0.124619	+	0.00975800i
$321$	18.7173	+	11.7079i	1.04470	+	0.653472i
$322$	−8.41225	−	8.41225i	−0.468797	−	0.468797i
$323$	10.4554	+	6.29275i	0.581752	+	0.350138i
$324$	8.55434	+	2.79701i	0.475241	+	0.155389i
$325$	−9.52062	−	9.87454i	−0.528109	−	0.547741i
$326$	2.93120	−	8.05340i	0.162344	−	0.446037i
$327$	11.6806	−	15.4857i	0.645937	−	0.856362i
$328$	5.94308	+	4.16139i	0.328152	+	0.229774i
$329$	22.2153	−	8.08571i	1.22477	−	0.445780i
$330$	−11.7651	+	2.59765i	−0.647648	+	0.142996i
$331$	11.2462	+	19.4790i	0.618146	+	1.07066i	0.989824	+	0.142299i	$0.0454494\pi$
$331$	11.2462	+	19.4790i	0.618146	+	1.07066i	−0.371678	+	0.928362i	$0.621217\pi$
$332$	−0.511899	+	0.0447853i	−0.0280941	+	0.00245791i
$333$	−2.24474	+	1.94768i	−0.123011	+	0.106732i
$334$	−21.9872	+	12.6943i	−1.20308	+	0.694601i
$335$	21.9173	+	26.6093i	1.19747	+	1.45382i
$336$	3.18069	−	2.48265i	0.173521	−	0.135440i
$337$	11.2140	−	16.0153i	0.610866	−	0.872407i	−0.387919	−	0.921693i	$-0.626806\pi$
$337$	11.2140	−	16.0153i	0.610866	−	0.872407i	0.998785	+	0.0492869i	$0.0156949\pi$
$338$	−4.48408	+	3.13978i	−0.243902	+	0.170782i
$339$	7.29985	+	0.258302i	0.396474	+	0.0140291i
$340$	2.08730	+	5.90178i	0.113200	+	0.320069i
$341$			10.7028i			0.579587i
$342$	−7.51832	+	10.6993i	−0.406544	+	0.578551i
$343$	−14.1221	+	14.1221i	−0.762523	+	0.762523i
$344$	6.69786	−	5.62017i	0.361124	−	0.303019i
$345$	7.55335	+	18.2798i	0.406659	+	0.984152i
$346$	−0.777302	+	4.40830i	−0.0417880	+	0.236992i
$347$	−2.06612	−	1.44671i	−0.110915	−	0.0776635i	0.516803	−	0.856104i	$-0.327122\pi$
$347$	−2.06612	−	1.44671i	−0.110915	−	0.0776635i	−0.627718	+	0.778441i	$0.716011\pi$
$348$	−5.90936	−	0.728356i	−0.316775	−	0.0390440i
$349$	−3.20995	−	1.85326i	−0.171825	−	0.0992029i	0.411621	−	0.911355i	$-0.364963\pi$
$349$	−3.20995	−	1.85326i	−0.171825	−	0.0992029i	−0.583446	+	0.812152i	$0.698296\pi$
$350$	11.4320	+	2.23155i	0.611063	+	0.119281i
$351$	−13.8362	+	3.42934i	−0.738522	+	0.183044i
$352$	−0.271133	−	3.09906i	−0.0144514	−	0.165181i
$353$	7.35297	−	27.4417i	0.391359	−	1.46057i	−0.436534	−	0.899688i	$-0.643794\pi$
$353$	7.35297	−	27.4417i	0.391359	−	1.46057i	0.827894	−	0.560885i	$-0.189539\pi$
$354$	16.0487	+	3.41903i	0.852979	+	0.181719i
$355$	−6.67011	+	6.54951i	−0.354013	+	0.347612i
$356$	−5.77038	+	1.01747i	−0.305829	+	0.0539260i
$357$	−9.01818	−	6.80223i	−0.477292	−	0.360012i
$358$	7.04825	−	3.28665i	0.372512	−	0.173705i
$359$	−1.15584	+	0.969863i	−0.0610028	+	0.0511874i	−0.672779	−	0.739843i	$-0.734900\pi$
$359$	−1.15584	+	0.969863i	−0.0610028	+	0.0511874i	0.611776	+	0.791031i	$0.290455\pi$
$360$	−6.46660	+	1.78414i	−0.340820	+	0.0940323i
$361$	−11.6754	−	14.9895i	−0.614495	−	0.788921i
$362$	8.79092	−	8.79092i	0.462040	−	0.462040i
$363$	0.514169	+	2.23183i	0.0269869	+	0.117141i
$364$	−2.18576	+	6.00534i	−0.114565	+	0.314765i
$365$	−16.2123	+	27.4980i	−0.848588	+	1.43931i
$366$	2.19955	−	1.16822i	0.114973	−	0.0610637i
$367$	−24.3260	−	11.3434i	−1.26981	−	0.592121i	−0.333318	−	0.942814i	$-0.608168\pi$
$367$	−24.3260	−	11.3434i	−1.26981	−	0.592121i	−0.936490	+	0.350693i	$0.885946\pi$
$368$	−4.93288	+	1.32176i	−0.257144	+	0.0689015i
$369$	19.8755	+	8.87123i	1.03468	+	0.461818i
$370$	0.592816	−	2.13434i	0.0308190	−	0.110959i
$371$	5.02982	−	5.99430i	0.261135	−	0.311209i
$372$	0.309111	+	5.95094i	0.0160267	+	0.308542i
$373$	4.25207	+	15.8689i	0.220164	+	0.821663i	0.984285	+	0.176590i	$0.0565065\pi$
$373$	4.25207	+	15.8689i	0.220164	+	0.821663i	−0.764121	+	0.645073i	$0.776827\pi$
$374$	−8.18394	+	2.97871i	−0.423181	+	0.154025i
$375$	−16.1304	−	10.7149i	−0.832973	−	0.553314i
$376$	1.76224	−	9.99418i	0.0908808	−	0.515411i
$377$	8.54693	−	3.98550i	0.440189	−	0.205264i
$378$	7.95406	−	9.12446i	0.409113	−	0.469312i
$379$		−	38.1017i		−	1.95715i	−0.205882	−	0.978577i	$-0.566006\pi$
$379$		−	38.1017i		−	1.95715i	0.205882	−	0.978577i	$-0.433994\pi$
$380$	0.266211	−	9.74316i	0.0136563	−	0.499813i
$381$	0.928207	−	0.301117i	0.0475535	−	0.0154267i
$382$	−22.2868	−	1.94984i	−1.14029	−	0.0997624i
$383$	5.71893	+	12.2643i	0.292224	+	0.626676i	0.996531	−	0.0832191i	$-0.0265201\pi$
$383$	5.71893	+	12.2643i	0.292224	+	0.626676i	−0.704307	+	0.709895i	$0.748742\pi$
$384$	−0.240260	−	1.71531i	−0.0122607	−	0.0875338i
$385$	−2.95939	+	15.9322i	−0.150825	+	0.811981i
$386$	−3.41340	−	9.37824i	−0.173737	−	0.477340i
$387$	16.5261	−	20.3695i	0.840071	−	1.03544i
$388$	5.04862	+	1.35277i	0.256305	+	0.0686766i
$389$	−28.6173	−	24.0128i	−1.45095	−	1.21750i	−0.931880	−	0.362766i	$-0.881832\pi$
$389$	−28.6173	−	24.0128i	−1.45095	−	1.21750i	−0.519074	−	0.854729i	$-0.673723\pi$
$390$	7.18484	−	7.82735i	0.363818	−	0.396353i
$391$	7.14853	+	12.3816i	0.361517	+	0.626165i
$392$	0.407181	+	1.51962i	0.0205657	+	0.0767524i
$393$	−26.0691	−	3.21314i	−1.31501	−	0.162082i
$394$	−8.78868	+	1.54968i	−0.442767	+	0.0780718i
$395$	5.10591	+	19.7754i	0.256906	+	0.995008i
$396$	−2.56413	−	8.97355i	−0.128852	−	0.450938i
$397$	−25.7626	−	2.25394i	−1.29299	−	0.113122i	−0.580184	−	0.814485i	$-0.697019\pi$
$397$	−25.7626	−	2.25394i	−1.29299	−	0.113122i	−0.712804	+	0.701363i	$0.752575\pi$
$398$	16.3793	+	16.3793i	0.821022	+	0.821022i
$399$	9.30209	+	14.9264i	0.465687	+	0.747254i
$400$	3.28329	−	3.77095i	0.164164	−	0.188547i
$401$	−11.1695	−	13.3113i	−0.557778	−	0.664734i	0.411297	−	0.911502i	$-0.365076\pi$
$401$	−11.1695	−	13.3113i	−0.557778	−	0.664734i	−0.969075	+	0.246768i	$0.920632\pi$
$402$	−19.5378	+	18.2024i	−0.974458	+	0.907853i
$403$	−5.41355	−	7.73135i	−0.269668	−	0.385126i
$404$	0.435372	+	2.46912i	0.0216606	+	0.122843i
$405$	−18.0304	+	8.93902i	−0.895936	+	0.444184i
$406$	−4.00400	+	6.93514i	−0.198715	+	0.344185i
$407$	2.97677	+	0.797624i	0.147553	+	0.0395368i
$408$	−4.46439	+	1.89258i	−0.221020	+	0.0936968i
$409$	5.12942	−	6.11300i	0.253633	−	0.302269i	−0.624171	−	0.781288i	$-0.714563\pi$
$409$	5.12942	−	6.11300i	0.253633	−	0.302269i	0.877804	+	0.479019i	$0.159008\pi$
$410$	−16.0016	+	2.67123i	−0.790263	+	0.131923i
$411$	−18.0628	−	3.84810i	−0.890970	−	0.189813i
$412$	5.58086	+	2.60240i	0.274949	+	0.128211i
$413$	12.6584	−	18.0781i	0.622881	−	0.889566i
$414$	−13.7763	+	6.70338i	−0.677070	+	0.329453i
$415$	0.746570	−	0.873420i	0.0366477	−	0.0428745i
$416$	1.76339	+	2.10153i	0.0864573	+	0.103036i
$417$	−24.4044	−	12.4489i	−1.19509	−	0.609625i
$418$	13.5579	+	0.246686i	0.663136	+	0.0120658i
$419$	33.5795			1.64047			0.820233	−	0.572030i	$-0.193844\pi$
$419$	33.5795			1.64047			0.820233	+	0.572030i	$0.193844\pi$
$420$	−1.18533	+	8.94408i	−0.0578383	+	0.436426i
$421$	18.8371	+	6.85615i	0.918064	+	0.334148i	0.757468	−	0.652872i	$-0.226436\pi$
$421$	18.8371	+	6.85615i	0.918064	+	0.334148i	0.160596	+	0.987020i	$0.448658\pi$
$422$	−9.94081	−	14.1970i	−0.483911	−	0.691097i
$423$	−0.503137	−	30.4409i	−0.0244634	−	1.48009i
$424$	−1.14886	−	3.15645i	−0.0557934	−	0.153291i
$425$	−12.5763	−	6.14621i	−0.610039	−	0.298135i
$426$	−5.37886	−	4.84766i	−0.260606	−	0.234870i
$427$	−0.291944	−	3.33693i	−0.0141281	−	0.161485i
$428$	−1.11092	−	12.6979i	−0.0536984	−	0.613775i
$429$	10.9804	+	9.89605i	0.530141	+	0.477786i
$430$	−1.88158	+	19.4601i	−0.0907380	+	0.938452i
$431$	−2.32424	−	6.38579i	−0.111955	−	0.307593i	0.871044	−	0.491205i	$-0.163443\pi$
$431$	−2.32424	−	6.38579i	−0.111955	−	0.307593i	−0.982999	+	0.183612i	$0.941221\pi$
$432$	−1.68487	−	4.91540i	−0.0810635	−	0.236493i
$433$	−12.7810	−	18.2532i	−0.614217	−	0.877192i	0.384732	−	0.923028i	$-0.374294\pi$
$433$	−12.7810	−	18.2532i	−0.614217	−	0.877192i	−0.998949	+	0.0458358i	$0.985405\pi$
$434$	7.53124	+	2.74115i	0.361511	+	0.131579i
$435$	10.5694	−	8.09579i	0.506766	−	0.388163i
$436$	−11.1989			−0.536328
$437$	−3.46603	−	21.9889i	−0.165803	−	1.05187i
$438$	−22.0260	−	11.2357i	−1.05245	−	0.536862i
$439$	−4.39019	−	5.23202i	−0.209532	−	0.249711i	0.651035	−	0.759048i	$-0.274335\pi$
$439$	−4.39019	−	5.23202i	−0.209532	−	0.249711i	−0.860567	+	0.509337i	$0.829891\pi$
$440$	5.28773	+	4.51978i	0.252083	+	0.215472i
$441$	2.06504	+	4.24394i	0.0983353	+	0.202092i
$442$	4.40517	−	6.29123i	0.209532	−	0.299243i
$443$	−29.9519	−	13.9668i	−1.42306	−	0.663583i	−0.449765	−	0.893147i	$-0.648492\pi$
$443$	−29.9519	−	13.9668i	−1.42306	−	0.663583i	−0.973294	+	0.229564i	$0.926270\pi$
$444$	1.67818	+	0.357521i	0.0796428	+	0.0169672i
$445$	7.61260	−	10.6635i	0.360872	−	0.505500i
$446$	3.86227	−	4.60288i	0.182884	−	0.217953i
$447$	−31.9438	+	13.5419i	−1.51089	+	0.640510i
$448$	−2.25017	−	0.602930i	−0.106310	−	0.0284858i
$449$	−3.51534	+	6.08875i	−0.165899	+	0.287346i	−0.936974	−	0.349399i	$-0.886386\pi$
$449$	−3.51534	+	6.08875i	−0.165899	+	0.287346i	0.771075	+	0.636744i	$0.219719\pi$
$450$	7.52232	−	12.9775i	0.354606	−	0.611764i
$451$	−3.91925	−	22.2272i	−0.184550	−	1.04664i
$452$	−2.41889	−	3.45454i	−0.113775	−	0.162488i
$453$	−10.0527	+	9.36562i	−0.472318	+	0.440035i
$454$	11.7146	+	13.9609i	0.549793	+	0.655218i
$455$	−5.92087	−	13.0058i	−0.277575	−	0.609723i
$456$	7.54555	−	0.254408i	0.353353	−	0.0119138i
$457$	0.370821	+	0.370821i	0.0173463	+	0.0173463i	0.715727	−	0.698380i	$-0.246096\pi$
$457$	0.370821	+	0.370821i	0.0173463	+	0.0173463i	−0.698380	+	0.715727i	$0.746096\pi$
$458$	25.7058	+	2.24896i	1.20115	+	0.105087i
$459$	−12.0713	+	8.11779i	−0.563438	+	0.378906i
$460$	5.79966	−	9.83695i	0.270411	−	0.458650i
$461$	−24.5922	+	4.33626i	−1.14537	+	0.201960i	−0.713954	−	0.700192i	$-0.753098\pi$
$461$	−24.5922	+	4.33626i	−1.14537	+	0.201960i	−0.431418	+	0.902152i	$0.641986\pi$
$462$	−12.4579	−	1.53549i	−0.579592	−	0.0714375i
$463$	6.35042	+	23.7001i	0.295129	+	1.10144i	0.941115	+	0.338087i	$0.109780\pi$
$463$	6.35042	+	23.7001i	0.295129	+	1.10144i	−0.645986	+	0.763349i	$0.723554\pi$
$464$	1.71879	+	2.97704i	0.0797929	+	0.138205i
$465$	−9.81622	−	9.01044i	−0.455216	−	0.417849i
$466$	9.62211	+	8.07391i	0.445736	+	0.374017i
$467$	−19.9522	−	5.34617i	−0.923277	−	0.247391i	−0.234291	−	0.972166i	$-0.575277\pi$
$467$	−19.9522	−	5.34617i	−0.923277	−	0.247391i	−0.688985	+	0.724775i	$0.741944\pi$
$468$	6.39114	+	5.18526i	0.295431	+	0.239689i
$469$	12.2835	+	33.7487i	0.567201	+	1.55837i
$470$	12.8457	+	18.7065i	0.592529	+	0.862867i
$471$	4.86389	+	34.7251i	0.224116	+	1.60005i
$472$	−4.00374	−	8.58606i	−0.184287	−	0.395205i
$473$	−27.0964	−	2.37063i	−1.24590	−	0.109002i
$474$	−15.0483	+	4.88177i	−0.691190	+	0.224227i
$475$	14.8394	+	15.9622i	0.680877	+	0.732398i
$476$			6.52170i			0.298922i
$477$	−5.18208	−	8.64255i	−0.237271	−	0.395715i
$478$	−9.21833	+	4.29858i	−0.421637	+	0.196612i
$479$	−2.45603	+	13.9288i	−0.112219	+	0.636425i	0.875871	+	0.482546i	$0.160288\pi$
$479$	−2.45603	+	13.9288i	−0.112219	+	0.636425i	−0.988090	+	0.153879i	$0.950823\pi$
$480$	3.07062	+	2.36036i	0.140154	+	0.107735i
$481$	−2.55378	+	0.929498i	−0.116442	+	0.0423815i
$482$	7.50646	+	28.0145i	0.341910	+	1.27602i
$483$	1.06889	+	20.5780i	0.0486361	+	0.936331i
$484$	0.849957	−	1.01294i	0.0386344	−	0.0460427i
$485$	−10.1744	+	5.75106i	−0.461994	+	0.261142i
$486$	−7.76294	−	13.5180i	−0.352134	−	0.613190i
$487$	17.9568	−	4.81152i	0.813703	−	0.218031i	0.172111	−	0.985078i	$-0.444941\pi$
$487$	17.9568	−	4.81152i	0.813703	−	0.218031i	0.641591	+	0.767047i	$0.278275\pi$
$488$	−1.30319	−	0.607688i	−0.0589927	−	0.0275087i
$489$	−13.1098	+	6.96281i	−0.592845	+	0.314869i
$490$	−3.03037	−	1.78664i	−0.136898	−	0.0807122i
$491$	7.09823	−	19.5022i	0.320339	−	0.880123i	−0.670113	−	0.742259i	$-0.733754\pi$
$491$	7.09823	−	19.5022i	0.320339	−	0.880123i	0.990451	−	0.137864i	$-0.0440236\pi$
$492$	−2.82113	−	12.2455i	−0.127186	−	0.552071i
$493$	6.80501	−	6.80501i	0.306482	−	0.306482i
$494$	−9.91855	+	6.67948i	−0.446257	+	0.300524i
$495$	18.1495	+	10.3002i	0.815757	+	0.462959i
$496$	2.63551	−	2.21145i	0.118338	−	0.0992971i
$497$	−8.82640	+	4.11582i	−0.395918	+	0.184620i
$498$	0.710554	+	0.535957i	0.0318407	+	0.0240168i
$499$	−17.2992	+	3.05031i	−0.774418	+	0.136551i	−0.546872	−	0.837216i	$-0.684181\pi$
$499$	−17.2992	+	3.05031i	−0.774418	+	0.136551i	−0.227546	+	0.973767i	$0.573070\pi$
$500$	0.669274	+	11.1603i	0.0299308	+	0.499103i
$501$	43.0091	+	9.16270i	1.92151	+	0.409359i
$502$	3.59175	−	13.4046i	0.160308	−	0.598276i
$503$	−3.37432	−	38.5686i	−0.150453	−	1.71969i	−0.578288	−	0.815833i	$-0.696279\pi$
$503$	−3.37432	−	38.5686i	−0.150453	−	1.71969i	0.427835	−	0.903857i	$-0.359277\pi$
$504$	−6.97115	−	0.493961i	−0.310520	−	0.0220028i
$505$	−4.56288	−	3.25740i	−0.203045	−	0.144952i
$506$	13.7586	+	7.94351i	0.611643	+	0.353132i
$507$	9.41012	+	1.15984i	0.417918	+	0.0515104i
$508$	−0.461506	−	0.323150i	−0.0204760	−	0.0143374i
$509$	−1.54251	+	8.74803i	−0.0683708	+	0.387750i	0.931350	+	0.364125i	$0.118632\pi$
$509$	−1.54251	+	8.74803i	−0.0683708	+	0.387750i	−0.999721	+	0.0236249i	$0.992479\pi$
$510$	4.15792	−	10.0137i	0.184116	−	0.443416i
$511$	−25.4755	+	21.3765i	−1.12697	+	0.945639i
$512$	−0.707107	+	0.707107i	−0.0312500	+	0.0312500i
$513$	22.0798	−	5.04802i	0.974847	−	0.222876i
$514$		−	6.54663i		−	0.288759i
$515$	−12.9813	+	4.59113i	−0.572024	+	0.202309i
$516$	−15.1346	−	0.535531i	−0.666263	−	0.0235754i
$517$	−25.8611	+	18.1081i	−1.13737	+	0.796394i
$518$	1.32367	−	1.89039i	0.0581585	−	0.0830590i
$519$	6.11181	−	4.77051i	0.268278	−	0.209402i
$520$	−6.10584	−	0.590368i	−0.267759	−	0.0258893i
$521$	9.06299	−	5.23252i	0.397057	−	0.229241i	−0.288156	−	0.957583i	$-0.593042\pi$
$521$	9.06299	−	5.23252i	0.397057	−	0.229241i	0.685213	+	0.728342i	$0.259709\pi$
$522$	6.75856	+	7.78940i	0.295814	+	0.340933i
$523$	−14.1367	+	1.23680i	−0.618156	+	0.0540816i	−0.391933	−	0.919994i	$-0.628193\pi$
$523$	−14.1367	+	1.23680i	−0.618156	+	0.0540816i	−0.226223	+	0.974076i	$0.572638\pi$
$524$	7.58245	+	13.1332i	0.331241	+	0.573726i
$525$	−12.1210	−	16.1273i	−0.529005	−	0.703851i
$526$	−15.6327	+	5.68985i	−0.681620	+	0.248089i
$527$	−7.88978	−	5.52448i	−0.343684	−	0.240650i
$528$	−3.24472	+	4.30174i	−0.141208	+	0.187209i
$529$	1.05353	−	2.89456i	0.0458058	−	0.125850i
$530$	6.77805	+	3.23626i	0.294420	+	0.140574i
$531$	−16.6841	−	23.0085i	−0.724030	−	0.998485i
$532$	3.64597	−	9.47711i	0.158073	−	0.410885i
$533$	14.0738	+	14.0738i	0.609606	+	0.609606i
$534$	8.60416	+	5.38202i	0.372338	+	0.232903i
$535$	21.6656	+	18.5190i	0.936685	+	0.800647i
$536$	15.1828	+	2.67714i	0.655797	+	0.115635i
$537$	−12.8796	−	3.94420i	−0.555794	−	0.170205i
$538$	−1.77995	+	3.81711i	−0.0767390	+	0.164567i
$539$	2.44708	−	4.23846i	0.105403	−	0.182563i
$540$	10.3889	+	5.20291i	0.447068	+	0.223898i
$541$	−31.8055	−	26.6880i	−1.36742	−	1.14741i	−0.973611	−	0.228215i	$-0.926711\pi$
$541$	−31.8055	−	26.6880i	−1.36742	−	1.14741i	−0.393813	−	0.919190i	$-0.628844\pi$
$542$	−15.2890	+	1.33762i	−0.656720	+	0.0574555i
$543$	−21.5043	+	1.11700i	−0.922837	+	0.0479352i
$544$	2.42449	+	1.39978i	0.103949	+	0.0600151i
$545$	17.8677	−	17.5447i	0.765370	−	0.751531i
$546$	9.77584	−	5.19210i	0.418367	−	0.222201i
$547$	37.6103	−	26.3350i	1.60810	−	1.12600i	0.694416	−	0.719573i	$-0.255663\pi$
$547$	37.6103	−	26.3350i	1.60810	−	1.12600i	0.913682	−	0.406429i	$-0.133226\pi$
$548$	4.50620	+	9.66357i	0.192495	+	0.412807i
$549$	−4.18463	−	1.04746i	−0.178596	−	0.0447047i
$550$	−15.5175	+	1.07273i	−0.661667	+	0.0457412i
$551$	−13.6931	+	6.08445i	−0.583348	+	0.259206i
$552$	7.87944	+	4.01937i	0.335371	+	0.171076i
$553$	−1.85448	+	21.1968i	−0.0788603	+	0.901378i
$554$	−15.5132	−	5.64636i	−0.659094	−	0.239891i
$555$	−3.23764	+	2.05869i	−0.137430	+	0.0873867i
$556$	2.74662	+	15.5769i	0.116483	+	0.660606i
$557$	16.7364	−	35.8914i	0.709146	−	1.52077i	−0.138590	−	0.990350i	$-0.544257\pi$
$557$	16.7364	−	35.8914i	0.709146	−	1.52077i	0.847736	−	0.530419i	$-0.177965\pi$
$558$	6.50279	−	8.01508i	0.275285	−	0.339305i
$559$	20.7727	−	11.9931i	0.878592	−	0.507255i
$560$	4.53471	−	2.56325i	0.191627	−	0.108317i
$561$	13.9837	+	5.65731i	0.590391	+	0.238852i
$562$	−3.10068	+	11.5719i	−0.130794	+	0.488131i
$563$	−18.0430	+	4.83461i	−0.760423	+	0.203755i	−0.618136	−	0.786071i	$-0.712112\pi$
$563$	−18.0430	+	4.83461i	−0.760423	+	0.203755i	−0.142286	+	0.989826i	$0.545445\pi$
$564$	−13.8562	+	10.8154i	−0.583453	+	0.455409i
$565$	9.27138	+	1.72215i	0.390050	+	0.0724514i
$566$	14.3060	+	2.52254i	0.601327	+	0.106030i
$567$	−20.8143	+	2.51654i	−0.874119	+	0.105685i
$568$	−0.364362	+	4.16468i	−0.0152883	+	0.174746i
$569$	−4.32443			−0.181289			−0.0906447	−	0.995883i	$-0.528893\pi$
$569$	−4.32443			−0.181289			−0.0906447	+	0.995883i	$0.528893\pi$
$570$	−11.6403	+	12.2271i	−0.487560	+	0.512138i
$571$	−14.3391			−0.600073			−0.300036	−	0.953928i	$-0.596999\pi$
$571$	−14.3391			−0.600073			−0.300036	+	0.953928i	$0.596999\pi$
$572$	0.743812	−	8.50181i	0.0311003	−	0.355478i
$573$	26.4138	+	28.3516i	1.10345	+	1.18441i
$574$	−16.6444	−	2.93486i	−0.694726	−	0.122499i
$575$	6.15770	+	24.7809i	0.256794	+	1.03343i
$576$	−1.67988	+	2.48556i	−0.0699951	+	0.103565i
$577$	27.6012	−	7.39572i	1.14905	−	0.307888i	0.366468	−	0.930431i	$-0.380567\pi$
$577$	27.6012	−	7.39572i	1.14905	−	0.307888i	0.782586	+	0.622543i	$0.213900\pi$
$578$	−2.37142	+	8.85024i	−0.0986379	+	0.368122i
$579$	−6.48290	+	16.0244i	−0.269420	+	0.665949i
$580$	−7.40630	−	2.05711i	−0.307530	−	0.0854168i
$581$	1.03667	−	0.598523i	0.0430084	−	0.0248309i
$582$	−4.92706	−	7.59471i	−0.204233	−	0.314811i
$583$	−4.41619	+	9.47056i	−0.182900	+	0.392230i
$584$	2.47895	+	14.0588i	0.102580	+	0.581758i
$585$	−18.3205	+	1.73961i	−0.757461	+	0.0719240i
$586$	16.5748	+	6.03275i	0.684701	+	0.249211i
$587$	−1.10927	+	12.6790i	−0.0457846	+	0.523320i	0.938325	+	0.345756i	$0.112377\pi$
$587$	−1.10927	+	12.6790i	−0.0457846	+	0.523320i	−0.984109	+	0.177565i	$0.943178\pi$
$588$	1.23821	−	2.42734i	0.0510628	−	0.100102i
$589$	8.37668	+	12.4388i	0.345155	+	0.512531i
$590$	19.8393	+	7.42657i	0.816771	+	0.305747i
$591$	13.1047	+	8.19718i	0.539056	+	0.337187i
$592$	−0.418663	−	0.897825i	−0.0172069	−	0.0369004i
$593$	19.0164	−	13.3154i	0.780911	−	0.546800i	−0.113769	−	0.993507i	$-0.536292\pi$
$593$	19.0164	−	13.3154i	0.780911	−	0.546800i	0.894680	+	0.446707i	$0.147404\pi$
$594$	−7.10633	+	14.5189i	−0.291576	+	0.595717i
$595$	−10.2172	−	10.4054i	−0.418865	−	0.426578i
$596$	17.3479	+	10.0158i	0.710596	+	0.410263i
$597$	−2.08121	−	40.0670i	−0.0851783	−	1.63983i
$598$	−13.9567	+	1.22105i	−0.570730	+	0.0499324i
$599$	34.0803	+	28.5967i	1.39248	+	1.16843i	0.964323	+	0.264727i	$0.0852818\pi$
$599$	34.0803	+	28.5967i	1.39248	+	1.16843i	0.428158	+	0.903704i	$0.359163\pi$
$600$	−8.59702	+	1.04462i	−0.350972	+	0.0426466i
$601$	17.1337	−	29.6764i	0.698897	−	1.21053i	−0.269952	−	0.962874i	$-0.587008\pi$
$601$	17.1337	−	29.6764i	0.698897	−	1.21053i	0.968849	−	0.247651i	$-0.0796588\pi$
$602$	−8.60797	+	18.4599i	−0.350835	+	0.752368i
$603$	46.2448	−	0.764348i	1.88323	−	0.0311267i
$604$	7.81196	+	1.37746i	0.317864	+	0.0560480i
$605$	0.230816	+	2.94773i	0.00938399	+	0.119842i
$606$	2.30294	−	3.68168i	0.0935506	−	0.149558i
$607$	13.6994	+	13.6994i	0.556040	+	0.556040i	0.928178	−	0.372138i	$-0.121375\pi$
$607$	13.6994	+	13.6994i	0.556040	+	0.556040i	−0.372138	+	0.928178i	$0.621375\pi$
$608$	−2.74064	−	3.38953i	−0.111148	−	0.137464i
$609$	13.1934	−	4.28004i	0.534623	−	0.173436i
$610$	3.03127	−	1.07208i	0.122733	−	0.0434072i
$611$	9.52200	−	26.1615i	0.385219	−	1.05838i
$612$	7.93858	+	2.74170i	0.320898	+	0.110827i
$613$	−6.51700	−	4.56325i	−0.263219	−	0.184308i	0.434516	−	0.900664i	$-0.356920\pi$
$613$	−6.51700	−	4.56325i	−0.263219	−	0.184308i	−0.697735	+	0.716356i	$0.745809\pi$
$614$	−4.81296	+	1.75178i	−0.194235	+	0.0706959i
$615$	23.6856	+	15.1180i	0.955094	+	0.609617i
$616$	3.62349	+	6.27607i	0.145995	+	0.252870i
$617$	−20.3418	+	1.77967i	−0.818928	+	0.0716469i	−0.488917	−	0.872330i	$-0.662608\pi$
$617$	−20.3418	+	1.77967i	−0.818928	+	0.0716469i	−0.330011	+	0.943977i	$0.607052\pi$
$618$	−4.16284	−	9.81968i	−0.167454	−	0.395005i
$619$	1.35849	−	0.784326i	0.0546025	−	0.0315247i	−0.472450	−	0.881357i	$-0.656630\pi$
$619$	1.35849	−	0.784326i	0.0546025	−	0.0315247i	0.527053	+	0.849833i	$0.323297\pi$
$620$	−0.740375	+	7.65728i	−0.0297342	+	0.307524i
$621$	25.4980	+	7.34980i	1.02320	+	0.294937i
$622$	−0.426436	+	0.609014i	−0.0170985	+	0.0244192i
$623$	11.1812	−	7.82916i	0.447965	−	0.313669i
$624$	0.168029	−	4.74865i	0.00672654	−	0.190098i
$625$	−18.5521	−	16.7577i	−0.742083	−	0.670308i
$626$			23.6688i			0.945994i
$627$	−17.1579	−	16.0386i	−0.685219	−	0.640520i
$628$	14.3149	−	14.3149i	0.571225	−	0.571225i
$629$	−2.12452	+	1.78268i	−0.0847101	+	0.0710802i
$630$	11.8963	−	10.1332i	0.473961	−	0.403718i
$631$	1.94991	−	11.0585i	0.0776246	−	0.440231i	−0.921081	−	0.389371i	$-0.872693\pi$
$631$	1.94991	−	11.0585i	0.0776246	−	0.440231i	0.998706	−	0.0508603i	$-0.0161963\pi$
$632$	7.48202	+	5.23897i	0.297619	+	0.208395i
$633$	−3.67216	+	29.7932i	−0.145955	+	1.18417i
$634$	−11.5596	−	6.67394i	−0.459091	−	0.265056i
$635$	1.24259	−	0.207432i	0.0493108	−	0.00823171i
$636$	−2.18196	+	5.39335i	−0.0865205	+	0.213860i
$637$	0.376156	+	4.29948i	0.0149038	+	0.170352i
$638$	2.76781	−	10.3296i	0.109579	−	0.408953i
$639$	1.29941	+	12.4743i	0.0514040	+	0.493474i
$640$	0.0203993	−	2.23597i	0.000806355	−	0.0883847i
$641$	−31.3286	+	5.52408i	−1.23740	+	0.218188i	−0.753803	−	0.657100i	$-0.771783\pi$
$641$	−31.3286	+	5.52408i	−1.23740	+	0.218188i	−0.483602	+	0.875288i	$0.660672\pi$
$642$	−13.2947	+	17.6256i	−0.524699	+	0.695628i
$643$	9.09013	−	4.23880i	0.358480	−	0.167162i	−0.235031	−	0.971988i	$-0.575519\pi$
$643$	9.09013	−	4.23880i	0.358480	−	0.167162i	0.593511	+	0.804826i	$0.297741\pi$
$644$	9.11342	−	7.64707i	0.359119	−	0.301337i
$645$	24.9862	−	22.8561i	0.983830	−	0.899960i
$646$	−7.18005	+	9.86714i	−0.282495	+	0.388217i
$647$	7.32449	−	7.32449i	0.287956	−	0.287956i	−0.548316	−	0.836271i	$-0.684731\pi$
$647$	7.32449	−	7.32449i	0.287956	−	0.287956i	0.836271	+	0.548316i	$0.184731\pi$
$648$	−3.53193	+	8.27801i	−0.138747	+	0.325191i
$649$	−10.0799	+	27.6943i	−0.395670	+	1.08710i
$650$	10.6667	−	8.62377i	0.418384	−	0.338252i
$651$	−6.51137	−	12.2598i	−0.255201	−	0.480499i
$652$	7.76728	+	3.62194i	0.304190	+	0.141846i
$653$	−31.1158	+	8.33744i	−1.21765	+	0.326269i	−0.809761	−	0.586760i	$-0.800403\pi$
$653$	−31.1158	+	8.33744i	−1.21765	+	0.326269i	−0.407893	+	0.913030i	$0.633736\pi$
$654$	14.4088	+	12.9858i	0.563427	+	0.507785i
$655$	−32.6729	−	9.07494i	−1.27664	−	0.354587i
$656$	−4.66353	+	5.55777i	−0.182080	+	0.216995i
$657$	15.3108	+	39.9968i	0.597332	+	1.56042i
$658$	6.11875	+	22.8355i	0.238534	+	0.890220i
$659$	−19.3062	+	7.02690i	−0.752064	+	0.273729i	−0.689474	−	0.724310i	$-0.742158\pi$
$659$	−19.3062	+	7.02690i	−0.752064	+	0.273729i	−0.0625901	+	0.998039i	$0.519936\pi$
$660$	−1.56237	−	11.9467i	−0.0608152	−	0.465026i
$661$	2.02032	−	11.4578i	0.0785813	−	0.445657i	−0.919977	−	0.391973i	$-0.871793\pi$
$661$	2.02032	−	11.4578i	0.0785813	−	0.445657i	0.998558	−	0.0536837i	$-0.0170963\pi$
$662$	−20.3850	+	9.50569i	−0.792286	+	0.369449i
$663$	−12.9629	+	2.98640i	−0.503437	+	0.115982i
$664$		−	0.513854i		−	0.0199414i
$665$	9.03017	+	20.8327i	0.350175	+	0.807856i
$666$	−1.74462	−	2.40595i	−0.0676028	−	0.0932288i
$667$	−17.4886	−	1.53005i	−0.677160	−	0.0592438i
$668$	−10.7297	−	23.0099i	−0.415144	−	0.890279i
$669$	−10.3066	+	1.44364i	−0.398478	+	0.0558142i
$670$	−28.4183	+	19.5148i	−1.09789	+	0.753921i
$671$	1.52992	+	4.20343i	0.0590621	+	0.162272i
$672$	2.19599	+	3.38496i	0.0847121	+	0.130578i
$673$	0.0733279	+	0.0196482i	0.00282658	+	0.000757381i	0.260232	−	0.965546i	$-0.416201\pi$
$673$	0.0733279	+	0.0196482i	0.00282658	+	0.000757381i	−0.257405	+	0.966303i	$0.582868\pi$
$674$	14.9769	+	12.5672i	0.576890	+	0.484069i
$675$	−24.7266	+	7.97455i	−0.951729	+	0.306941i
$676$	−2.73702	−	4.74066i	−0.105270	−	0.182333i
$677$	−0.603241	−	2.25133i	−0.0231845	−	0.0865256i	0.953364	−	0.301822i	$-0.0975949\pi$
$677$	−0.603241	−	2.25133i	−0.0231845	−	0.0865256i	−0.976549	+	0.215297i	$0.930928\pi$
$678$	−0.893544	+	7.24956i	−0.0343163	+	0.278418i
$679$	−11.9909	+	2.11431i	−0.460167	+	0.0811399i
$680$	−6.06124	+	1.56498i	−0.232438	+	0.0600142i
$681$	1.11625	−	31.5463i	0.0427749	−	1.20886i
$682$	−10.6620	−	0.932808i	−0.408271	−	0.0357190i
$683$	−19.7846	−	19.7846i	−0.757037	−	0.757037i	0.218745	−	0.975782i	$-0.429804\pi$
$683$	−19.7846	−	19.7846i	−0.757037	−	0.757037i	−0.975782	+	0.218745i	$0.929804\pi$
$684$	−10.0033	−	8.42222i	−0.382486	−	0.322032i
$685$	−22.3290	−	8.35858i	−0.853149	−	0.319365i
$686$	−12.8376	−	15.2992i	−0.490140	−	0.584127i
$687$	−30.4659	−	32.7010i	−1.16235	−	1.24762i
$688$	5.01503	+	7.16220i	0.191196	+	0.273056i
$689$	−1.60016	−	9.07499i	−0.0609614	−	0.345729i
$690$	−18.8686	+	5.93141i	−0.718314	+	0.225805i
$691$	3.20966	−	5.55929i	0.122101	−	0.211485i	−0.798495	−	0.602001i	$-0.794370\pi$
$691$	3.20966	−	5.55929i	0.122101	−	0.211485i	0.920596	+	0.390516i	$0.127703\pi$
$692$	−4.32378	−	1.15855i	−0.164365	−	0.0440416i
$693$	14.2481	+	16.4213i	0.541242	+	0.623794i
$694$	1.62128	−	1.93216i	0.0615429	−	0.0733440i
$695$	−28.7857	−	20.5499i	−1.09190	−	0.779501i
$696$	1.24062	−	5.82339i	0.0470255	−	0.220735i
$697$	18.4083	+	8.58392i	0.697263	+	0.325139i
$698$	2.12598	−	3.03621i	0.0804694	−	0.114922i
$699$	−3.01785	−	21.5456i	−0.114146	−	0.814928i
$700$	−3.21942	+	11.1940i	−0.121683	+	0.423092i
$701$	−13.2974	−	15.8472i	−0.502234	−	0.598540i	0.454051	−	0.890976i	$-0.349978\pi$
$701$	−13.2974	−	15.8472i	−0.502234	−	0.598540i	−0.956285	+	0.292436i	$0.905534\pi$
$702$	−2.21038	−	14.0824i	−0.0834255	−	0.531507i
$703$	4.08388	−	1.40282i	0.154027	−	0.0529082i
$704$	3.11090			0.117246
$705$	5.16375	−	38.9637i	0.194478	−	1.46746i
$706$	26.6964	+	9.71669i	1.00473	+	0.365692i
$707$	−3.35006	−	4.78438i	−0.125992	−	0.179935i
$708$	−4.80476	+	15.6897i	−0.180574	+	0.589653i
$709$	16.4242	+	45.1251i	0.616823	+	1.69471i	0.714630	+	0.699503i	$0.246595\pi$
$709$	16.4242	+	45.1251i	0.616823	+	1.69471i	−0.0978063	+	0.995205i	$0.531183\pi$
$710$	−5.94324	−	7.21556i	−0.223046	−	0.270795i
$711$	25.0222	+	11.1684i	0.938408	+	0.418848i
$712$	−0.510680	−	5.83710i	−0.0191385	−	0.218755i
$713$	1.53131	+	17.5029i	0.0573479	+	0.655490i
$714$	7.56234	−	8.39100i	0.283013	−	0.314025i
$715$	12.1326	+	14.7299i	0.453733	+	0.550867i
$716$	2.65985	+	7.30788i	0.0994033	+	0.273108i
$717$	16.8450	+	5.15858i	0.629090	+	0.192651i
$718$	−0.865435	−	1.23597i	−0.0322977	−	0.0461259i
$719$	−19.1071	−	6.95441i	−0.712574	−	0.259356i	−0.0398043	−	0.999207i	$-0.512673\pi$
$719$	−19.1071	−	6.95441i	−0.712574	−	0.259356i	−0.672770	+	0.739852i	$0.734896\pi$
$720$	−1.21375	−	6.59749i	−0.0452337	−	0.245874i
$721$	−14.3449			−0.534230
$722$	15.9500	−	10.3246i	0.593599	−	0.384240i
$723$	22.8266	−	44.7484i	0.848930	−	1.66421i
$724$	7.99129	+	9.52364i	0.296994	+	0.353943i
$725$	15.0395	−	8.32095i	0.558553	−	0.309032i
$726$	−2.26815	+	0.317696i	−0.0841788	+	0.0117908i
$727$	−27.6455	+	39.4818i	−1.02531	+	1.46430i	−0.145280	+	0.989391i	$0.546408\pi$
$727$	−27.6455	+	39.4818i	−1.02531	+	1.46430i	−0.880034	+	0.474910i	$0.842481\pi$
$728$	−5.79198	−	2.70085i	−0.214665	−	0.100100i
$729$	−5.68700	+	26.3943i	−0.210630	+	0.977566i
$730$	−25.9804	−	18.5472i	−0.961578	−	0.686462i
$731$	15.7340	−	18.7511i	0.581944	−	0.693533i
$732$	0.972068	+	2.29300i	0.0359287	+	0.0847518i
$733$	2.74469	+	0.735436i	0.101377	+	0.0271640i	0.309151	−	0.951013i	$-0.399955\pi$
$733$	2.74469	+	0.735436i	0.101377	+	0.0271640i	−0.207774	+	0.978177i	$0.566622\pi$
$734$	13.4204	−	23.2448i	0.495356	−	0.857982i
$735$	1.82723	+	5.81265i	0.0673984	+	0.214403i
$736$	−0.886802	−	5.02930i	−0.0326880	−	0.185383i
$737$	−27.5092	−	39.2872i	−1.01331	−	1.44716i
$738$	−10.5697	+	19.0267i	−0.389078	+	0.700384i
$739$	−14.6228	−	17.4268i	−0.537910	−	0.641056i	0.426808	−	0.904342i	$-0.359638\pi$
$739$	−14.6228	−	17.4268i	−0.537910	−	0.641056i	−0.964718	+	0.263286i	$0.915194\pi$
$740$	2.07455	+	0.776580i	0.0762620	+	0.0285477i
$741$	20.5068	+	2.90720i	0.753335	+	0.106799i
$742$	5.53311	+	5.53311i	0.203127	+	0.203127i
$743$	47.7093	+	4.17402i	1.75028	+	0.153130i	0.916783	−	0.399386i	$-0.130777\pi$
$743$	47.7093	+	4.17402i	1.75028	+	0.153130i	0.833502	+	0.552516i	$0.186332\pi$
$744$	−5.95523	−	0.210723i	−0.218329	−	0.00772550i
$745$	−43.3697	+	11.1978i	−1.58894	+	0.410257i
$746$	−16.1792	+	2.85282i	−0.592361	+	0.104449i
$747$	−0.292742	−	1.51351i	−0.0107109	−	0.0553765i
$748$	−2.25410	−	8.41240i	−0.0824179	−	0.307588i
$749$	14.8466	+	25.7151i	0.542484	+	0.939610i
$750$	12.0800	−	15.1352i	0.441098	−	0.552659i
$751$	12.9283	+	10.8482i	0.471762	+	0.395855i	0.847437	−	0.530896i	$-0.178145\pi$
$751$	12.9283	+	10.8482i	0.471762	+	0.395855i	−0.375675	+	0.926752i	$0.622589\pi$
$752$	9.80256	+	2.62659i	0.357463	+	0.0957818i
$753$	−20.1647	+	13.0818i	−0.734843	+	0.476729i
$754$	3.22542	+	8.86176i	0.117463	+	0.322726i
$755$	−14.6220	+	10.0409i	−0.532147	+	0.365424i
$756$	8.39650	+	8.71904i	0.305378	+	0.317109i
$757$	−8.77352	−	18.8149i	−0.318879	−	0.683839i	0.679896	−	0.733308i	$-0.262025\pi$
$757$	−8.77352	−	18.8149i	−0.318879	−	0.683839i	−0.998776	+	0.0494696i	$0.984247\pi$
$758$	37.9567	+	3.32078i	1.37865	+	0.120616i
$759$	−8.49114	−	26.1743i	−0.308209	−	0.950066i
$760$	9.68288	+	1.11437i	0.351235	+	0.0404225i
$761$			11.6885i			0.423708i	0.977301	+	0.211854i	$0.0679501\pi$
$761$			11.6885i			0.423708i	−0.977301	+	0.211854i	$0.932050\pi$
$762$	0.219073	+	0.950919i	0.00793617	+	0.0344481i
$763$	23.6440	−	11.0254i	0.855969	−	0.399145i
$764$	3.88484	−	22.0320i	0.140548	−	0.797090i
$765$	−16.9613	+	8.06259i	−0.613236	+	0.291503i
$766$	−12.7161	+	4.62827i	−0.459450	+	0.167226i
$767$	−6.72659	−	25.1040i	−0.242883	−	0.906452i
$768$	1.72972	−	0.0898473i	0.0624159	−	0.00324208i
$769$	−0.150617	+	0.179498i	−0.00543139	+	0.00647288i	−0.768753	−	0.639545i	$-0.779123\pi$
$769$	−0.150617	+	0.179498i	−0.00543139	+	0.00647288i	0.763322	+	0.646018i	$0.223567\pi$
$770$	−15.6137	−	4.33672i	−0.562677	−	0.156284i
$771$	−7.59124	+	8.42307i	−0.273392	+	0.303350i
$772$	9.64005	−	2.58304i	0.346953	−	0.0929657i
$773$	−9.36499	−	4.36696i	−0.336835	−	0.157069i	0.246840	−	0.969056i	$-0.420608\pi$
$773$	−9.36499	−	4.36696i	−0.336835	−	0.157069i	−0.583675	+	0.811988i	$0.698386\pi$
$774$	18.8516	+	18.2386i	0.677607	+	0.655572i
$775$	−10.8150	−	13.3771i	−0.388486	−	0.480519i
$776$	−1.78764	+	4.91150i	−0.0641726	+	0.176313i
$777$	−3.89509	+	0.897353i	−0.139736	+	0.0321924i
$778$	26.4155	−	26.4155i	0.947043	−	0.947043i
$779$	−21.9514	−	22.7650i	−0.786490	−	0.815641i
$780$	7.17137	+	7.83969i	0.256776	+	0.280706i
$781$	9.96270	−	8.35970i	0.356493	−	0.299134i
$782$	−12.9575	+	6.04220i	−0.463361	+	0.216069i
$783$	0.336558	−	17.8590i	0.0120276	−	0.638230i
$784$	−1.54933	+	0.273188i	−0.0553331	+	0.00975671i
$785$	−0.412970	+	45.2657i	−0.0147395	+	1.61560i
$786$	5.47299	−	25.6899i	0.195215	−	0.916328i
$787$	5.28009	−	19.7056i	0.188215	−	0.702427i	−0.805705	−	0.592318i	$-0.798213\pi$
$787$	5.28009	−	19.7056i	0.188215	−	0.702427i	0.993919	−	0.110110i	$-0.0351202\pi$
$788$	−0.777800	−	8.89030i	−0.0277080	−	0.316704i
$789$	26.7113	+	10.8064i	0.950946	+	0.384720i
$790$	−20.1452	+	3.36294i	−0.716733	+	0.119648i
$791$	8.50799	+	4.91209i	0.302509	+	0.174654i
$792$	9.16288	−	1.77227i	0.325589	−	0.0629750i
$793$	−3.23130	−	2.26258i	−0.114747	−	0.0803467i
$794$	4.49072	−	25.4681i	0.159370	−	0.903830i
$795$	−4.96817	−	12.0235i	−0.176203	−	0.426428i
$796$	−17.7446	+	14.8895i	−0.628939	+	0.527743i
$797$	−6.30444	+	6.30444i	−0.223315	+	0.223315i	−0.809893	−	0.586578i	$-0.800475\pi$
$797$	−6.30444	+	6.30444i	−0.223315	+	0.223315i	0.586578	+	0.809893i	$0.300475\pi$
$798$	−15.6803	+	7.96578i	−0.555077	+	0.281985i
$799$		−	28.4110i		−	1.00511i
$800$	3.47044	+	3.59945i	0.122699	+	0.127260i
$801$	−4.82955	−	16.9017i	−0.170644	−	0.597193i
$802$	14.2341	−	9.96684i	0.502624	−	0.351941i
$803$	25.4727	−	36.3788i	0.898912	−	1.28378i
$804$	−16.4303	−	21.0499i	−0.579452	−	0.742374i
$805$	−2.56017	+	26.4784i	−0.0902342	+	0.933241i
$806$	8.17375	−	4.71912i	0.287908	−	0.166224i
$807$	6.71632	−	2.84724i	0.236426	−	0.100227i
$808$	−2.49767	+	0.218518i	−0.0878677	+	0.00768743i
$809$	0.0919254	+	0.159220i	0.00323193	+	0.00559786i	0.867637	−	0.497198i	$-0.165638\pi$
$809$	0.0919254	+	0.159220i	0.00323193	+	0.00559786i	−0.864405	+	0.502796i	$0.832305\pi$
$810$	−7.33356	−	18.7408i	−0.257675	−	0.658486i
$811$	−2.57192	+	0.936101i	−0.0903122	+	0.0328709i	−0.386781	−	0.922172i	$-0.626413\pi$
$811$	−2.57192	+	0.936101i	−0.0903122	+	0.0328709i	0.296469	+	0.955042i	$0.404191\pi$
$812$	−6.55977	−	4.59320i	−0.230203	−	0.161190i
$813$	21.2223	+	16.0076i	0.744300	+	0.561411i
$814$	−1.05403	+	2.89593i	−0.0369438	+	0.101502i
$815$	−18.0670	+	6.38980i	−0.632859	+	0.223825i
$816$	−1.49628	−	4.61235i	−0.0523804	−	0.161465i
$817$	−33.3469	+	18.4523i	−1.16666	+	0.645563i
$818$	5.64268	+	5.64268i	0.197292	+	0.197292i
$819$	−18.5984	−	4.65542i	−0.649882	−	0.162673i
$820$	−1.26643	−	16.1735i	−0.0442258	−	0.564804i
$821$	22.6016	+	3.98527i	0.788800	+	0.139087i	0.553514	−	0.832840i	$-0.313286\pi$
$821$	22.6016	+	3.98527i	0.788800	+	0.139087i	0.235286	+	0.971926i	$0.424397\pi$
$822$	5.40773	−	17.6586i	0.188616	−	0.615916i
$823$	4.80538	−	10.3052i	0.167505	−	0.359216i	−0.804580	−	0.593844i	$-0.797610\pi$
$823$	4.80538	−	10.3052i	0.167505	−	0.359216i	0.972085	+	0.234628i	$0.0753873\pi$
$824$	−3.07890	+	5.33281i	−0.107258	+	0.185777i
$825$	21.2091	+	16.6133i	0.738406	+	0.578401i
$826$	16.9061	+	14.1859i	0.588238	+	0.493590i
$827$	50.9645	−	4.45882i	1.77221	−	0.155048i	0.846279	−	0.532740i	$-0.178838\pi$
$827$	50.9645	−	4.45882i	1.77221	−	0.155048i	0.925931	+	0.377692i	$0.123282\pi$
$828$	−5.47718	−	14.3082i	−0.190345	−	0.497243i
$829$	7.59627	+	4.38571i	0.263829	+	0.152322i	0.626080	−	0.779759i	$-0.284658\pi$
$829$	7.59627	+	4.38571i	0.263829	+	0.152322i	−0.362251	+	0.932081i	$0.617992\pi$
$830$	0.805029	+	0.819853i	0.0279430	+	0.0284575i
$831$	13.4124	+	25.2534i	0.465273	+	0.876029i
$832$	−2.24722	+	1.57352i	−0.0779083	+	0.0545520i
$833$	1.86136	+	3.99169i	0.0644922	+	0.138304i
$834$	14.5285	−	23.2265i	0.503081	−	0.804268i
$835$	53.1676	+	19.9026i	1.83994	+	0.688756i
$836$	−1.42739	+	13.4848i	−0.0493674	+	0.466380i
$837$	−17.6607	+	2.77202i	−0.610442	+	0.0958150i
$838$	−2.92665	+	33.4517i	−0.101099	+	1.15557i
$839$	−30.9324	−	11.2585i	−1.06790	−	0.388685i	−0.252512	−	0.967594i	$-0.581257\pi$
$839$	−30.9324	−	11.2585i	−1.06790	−	0.388685i	−0.815392	+	0.578909i	$0.803479\pi$
$840$	−8.80674	−	1.96035i	−0.303861	−	0.0676385i
$841$	−2.98380	−	16.9220i	−0.102890	−	0.583516i
$842$	−8.47182	+	18.1679i	−0.291958	+	0.626106i
$843$	17.4078	−	11.2933i	0.599556	−	0.388962i
$844$	15.0093	−	8.66564i	0.516642	−	0.298284i
$845$	11.7939	+	3.27576i	0.405721	+	0.112690i
$846$	30.3689	+	2.15188i	1.04411	+	0.0739831i
$847$	−0.797254	+	2.97539i	−0.0273940	+	0.102236i
$848$	3.24457	−	0.869381i	0.111419	−	0.0298547i
$849$	−15.4815	−	19.8343i	−0.531323	−	0.680712i
$850$	7.21892	−	11.9928i	0.247607	−	0.411348i
$851$	4.98223	+	0.878502i	0.170789	+	0.0301147i
$852$	5.29801	−	4.93589i	0.181507	−	0.169101i
$853$	0.344930	−	3.94257i	0.0118102	−	0.134991i	−0.988000	−	0.154451i	$-0.950639\pi$
$853$	0.344930	−	3.94257i	0.0118102	−	0.134991i	0.999811	+	0.0194600i	$0.00619469\pi$
$854$	3.34968			0.114624
$855$	29.1549	−	2.23404i	0.997077	−	0.0764027i
$856$	12.7464			0.435663
$857$	−3.95529	+	45.2092i	−0.135110	+	1.54432i	0.561869	+	0.827226i	$0.310082\pi$
$857$	−3.95529	+	45.2092i	−0.135110	+	1.54432i	−0.696979	+	0.717091i	$0.745473\pi$
$858$	−10.8154	+	10.0762i	−0.369232	+	0.343994i
$859$	44.6927	+	7.88054i	1.52490	+	0.268880i	0.872355	−	0.488873i	$-0.162592\pi$
$859$	44.6927	+	7.88054i	1.52490	+	0.268880i	0.652542	+	0.757753i	$0.273703\pi$
$860$	−19.2221	−	3.57049i	−0.655468	−	0.121753i
$861$	18.0120	+	23.0764i	0.613848	+	0.786441i
$862$	6.56406	−	1.75884i	0.223573	−	0.0599062i
$863$	−3.18822	+	11.8986i	−0.108528	+	0.405032i	−0.998722	−	0.0505504i	$-0.983902\pi$
$863$	−3.18822	+	11.8986i	−0.108528	+	0.405032i	0.890193	+	0.455583i	$0.150569\pi$
$864$	5.04355	−	1.25006i	0.171585	−	0.0425277i
$865$	8.71362	−	4.92537i	0.296272	−	0.167468i
$866$	19.2977	−	11.1415i	0.655762	−	0.378604i
$867$	13.3136	−	8.63716i	0.452152	−	0.293333i
$868$	−3.38711	+	7.26368i	−0.114966	+	0.246545i
$869$	−4.93413	−	27.9828i	−0.167379	−	0.949253i
$870$	7.14380	+	11.2348i	0.242197	+	0.380896i
$871$	39.7436	+	14.4655i	1.34666	+	0.490144i
$872$	0.976045	−	11.1562i	0.0330530	−	0.377798i
$873$	−2.46726	+	15.4848i	−0.0835041	+	0.524081i
$874$	22.2073	−	1.53638i	0.751174	−	0.0519688i
$875$	−12.4004	−	22.9036i	−0.419211	−	0.774284i
$876$	13.1126	−	20.9630i	0.443035	−	0.708273i
$877$	21.7828	+	46.7134i	0.735554	+	1.57740i	0.814258	+	0.580503i	$0.197144\pi$
$877$	21.7828	+	46.7134i	0.735554	+	1.57740i	−0.0787039	+	0.996898i	$0.525078\pi$
$878$	5.59474	−	3.91748i	0.188813	−	0.132208i
$879$	−14.3303	−	26.9815i	−0.483349	−	0.910064i
$880$	−4.96343	+	4.87369i	−0.167317	+	0.164292i
$881$	23.7718	+	13.7246i	0.800891	+	0.462395i	0.843783	−	0.536685i	$-0.180324\pi$
$881$	23.7718	+	13.7246i	0.800891	+	0.462395i	−0.0428917	+	0.999080i	$0.513657\pi$
$882$	−4.40777	+	1.68730i	−0.148417	+	0.0568143i
$883$	−18.9837	+	1.66086i	−0.638853	+	0.0558924i	−0.401980	−	0.915648i	$-0.631678\pi$
$883$	−18.9837	+	1.66086i	−0.638853	+	0.0558924i	−0.236873	+	0.971541i	$0.576122\pi$
$884$	5.88335	+	4.93672i	0.197879	+	0.166040i
$885$	−16.9142	−	32.5602i	−0.568564	−	1.09450i
$886$	16.5241	−	28.6207i	0.555140	−	0.961530i
$887$	−9.14714	+	19.6161i	−0.307131	+	0.658644i	−0.997924	−	0.0644084i	$-0.979484\pi$
$887$	−9.14714	+	19.6161i	−0.307131	+	0.658644i	0.690793	+	0.723053i	$0.257262\pi$
$888$	−0.502423	+	1.64063i	−0.0168602	+	0.0550560i
$889$	1.29251	+	0.227905i	0.0433495	+	0.00764368i
$890$	9.95947	+	8.51302i	0.333842	+	0.285357i
$891$	25.9788	−	10.4402i	0.870322	−	0.349758i
$892$	4.24874	+	4.24874i	0.142258	+	0.142258i
$893$	−15.8832	+	41.2858i	−0.531511	+	1.38158i
$894$	−10.7063	−	33.0025i	−0.358071	−	1.10377i
$895$	−15.6927	−	7.49265i	−0.524548	−	0.250452i
$896$	0.796751	−	2.18905i	0.0266176	−	0.0731312i
$897$	19.3729	+	14.6126i	0.646843	+	0.487901i
$898$	−5.75919	−	4.03263i	−0.192187	−	0.134571i
$899$	11.1135	−	4.04497i	0.370655	−	0.134907i
$900$	12.2725	+	8.62476i	0.409082	+	0.287492i
$901$	−4.70191	−	8.14394i	−0.156643	−	0.271314i
$902$	22.4842	−	1.96711i	0.748642	−	0.0654977i
$903$	32.4806	−	13.7695i	1.08089	−	0.458219i
$904$	3.65221	−	2.10861i	0.121471	−	0.0701312i
$905$	−27.6703	−	2.67541i	−0.919791	−	0.0889338i
$906$	−8.45383	−	10.8307i	−0.280860	−	0.359827i
$907$	16.0093	−	22.8637i	0.531582	−	0.759177i	−0.460103	−	0.887865i	$-0.652188\pi$
$907$	16.0093	−	22.8637i	0.531582	−	0.759177i	0.991685	+	0.128688i	$0.0410766\pi$
$908$	−14.9288	+	10.4532i	−0.495429	+	0.346903i
$909$	−7.23217	+	2.06654i	−0.239876	+	0.0685429i
$910$	13.4724	−	4.76481i	0.446605	−	0.157952i
$911$			20.6189i			0.683136i	0.939857	+	0.341568i	$0.110958\pi$
$911$			20.6189i			0.683136i	−0.939857	+	0.341568i	$0.889042\pi$
$912$	−0.404198	+	7.53901i	−0.0133843	+	0.249641i
$913$	−1.13034	+	1.13034i	−0.0374089	+	0.0374089i
$914$	−0.401729	+	0.337090i	−0.0132880	+	0.0111500i
$915$	−5.14326	−	2.13559i	−0.170031	−	0.0706004i
$916$	−4.48081	+	25.4119i	−0.148050	+	0.839634i
$917$	−28.9384	−	20.2629i	−0.955632	−	0.669140i
$918$	−7.03482	−	12.7328i	−0.232184	−	0.420246i
$919$	7.07686	+	4.08583i	0.233444	+	0.134779i	0.612160	−	0.790734i	$-0.290301\pi$
$919$	7.07686	+	4.08583i	0.233444	+	0.134779i	−0.378716	+	0.925513i	$0.623634\pi$
$920$	9.29404	+	6.63494i	0.306416	+	0.218747i
$921$	8.22379	+	3.32706i	0.270983	+	0.109630i
$922$	−2.17641	−	24.8765i	−0.0716764	−	0.819265i
$923$	−2.96834	+	11.0780i	−0.0977042	+	0.364637i
$924$	2.61542	−	12.2766i	0.0860411	−	0.403871i
$925$	−4.52657	+	2.01106i	−0.148833	+	0.0661233i
$926$	−24.1634	+	4.26065i	−0.794058	+	0.140014i
$927$	−6.03053	+	17.4614i	−0.198068	+	0.573506i
$928$	−3.11551	+	1.45279i	−0.102272	+	0.0476900i
$929$	2.50403	−	2.10113i	0.0821546	−	0.0689359i	−0.600786	−	0.799410i	$-0.705145\pi$
$929$	2.50403	−	2.10113i	0.0821546	−	0.0689359i	0.682940	+	0.730474i	$0.260701\pi$
$930$	9.83169	−	8.99355i	0.322394	−	0.294910i
$931$	−0.473297	−	6.84118i	−0.0155117	−	0.224211i
$932$	−8.88181	+	8.88181i	−0.290933	+	0.290933i
$933$	1.25486	−	0.289094i	0.0410821	−	0.00946451i
$934$	7.06477	−	19.4103i	0.231166	−	0.635125i
$935$	16.7757	+	9.89059i	0.548624	+	0.323457i
$936$	−5.72255	+	5.91490i	−0.187047	+	0.193334i
$937$	15.2125	+	7.09369i	0.496970	+	0.231741i	0.654909	−	0.755708i	$-0.272707\pi$
$937$	15.2125	+	7.09369i	0.496970	+	0.231741i	−0.157939	+	0.987449i	$0.550485\pi$
$938$	−34.6909	+	9.29539i	−1.13270	+	0.303505i
$939$	27.4455	−	30.4529i	0.895649	−	0.993793i
$940$	−19.7549	+	11.1665i	−0.644334	+	0.364209i
$941$	28.9486	−	34.4996i	0.943697	−	1.12465i	−0.0483559	−	0.998830i	$-0.515398\pi$
$941$	28.9486	−	34.4996i	0.943697	−	1.12465i	0.992053	−	0.125824i	$-0.0401574\pi$
$942$	−35.0169	+	1.81889i	−1.14091	+	0.0592627i
$943$	−9.58958	−	35.7888i	−0.312280	−	1.16544i
$944$	8.90233	−	3.24018i	0.289746	−	0.105459i
$945$	−27.0563	−	0.756853i	−0.880140	−	0.0246204i
$946$	4.72322	−	26.7867i	0.153565	−	0.870911i
$947$	−44.5880	+	20.7917i	−1.44891	+	0.675640i	−0.978394	−	0.206749i	$-0.933712\pi$
$947$	−44.5880	+	20.7917i	−1.44891	+	0.675640i	−0.470520	+	0.882389i	$0.655934\pi$
$948$	−3.55165	−	15.4165i	−0.115352	−	0.500704i
$949$			39.1632i			1.27129i
$950$	−17.1948	+	13.3917i	−0.557874	+	0.434484i
$951$	7.13405	+	21.9910i	0.231337	+	0.713107i
$952$	−6.49689	−	0.568404i	−0.210565	−	0.0184221i
$953$	19.2126	+	41.2015i	0.622356	+	1.33465i	0.924426	+	0.381362i	$0.124545\pi$
$953$	19.2126	+	41.2015i	0.622356	+	1.33465i	−0.302070	+	0.953286i	$0.597678\pi$
$954$	9.06131	−	4.40911i	0.293371	−	0.142750i
$955$	28.3182	+	41.2382i	0.916354	+	1.33444i
$956$	−3.47879	−	9.55790i	−0.112512	−	0.309125i
$957$	−15.5390	+	10.0809i	−0.502304	+	0.325869i
$958$	−13.6618	−	3.66066i	−0.441392	−	0.118271i
$959$	−19.0277	−	15.9662i	−0.614437	−	0.515574i
$960$	−2.61900	+	2.85321i	−0.0845280	+	0.0920870i
$961$	9.58180	+	16.5962i	0.309090	+	0.535360i
$962$	−0.703385	−	2.62507i	−0.0226780	−	0.0846356i
$963$	37.5434	−	7.26160i	1.20982	−	0.234002i
$964$	−28.5621	+	5.03627i	−0.919923	+	0.162207i
$965$	−11.3340	+	19.2238i	−0.364853	+	0.618836i
$966$	−20.5928	−	0.728669i	−0.662564	−	0.0234445i
$967$	2.16971	+	0.189825i	0.0697730	+	0.00610435i	0.121989	−	0.992531i	$-0.461073\pi$
$967$	2.16971	+	0.189825i	0.0697730	+	0.00610435i	−0.0522158	+	0.998636i	$0.516628\pi$
$968$	0.935006	+	0.935006i	0.0300522	+	0.0300522i
$969$	20.6796	−	4.36960i	0.664325	−	0.140372i
$970$	−4.84242	−	10.6369i	−0.155481	−	0.341530i
$971$	−22.8854	−	27.2738i	−0.734429	−	0.875258i	0.261518	−	0.965198i	$-0.415777\pi$
$971$	−22.8854	−	27.2738i	−0.734429	−	0.875258i	−0.995947	+	0.0899404i	$0.971332\pi$
$972$	14.1432	−	6.55523i	0.453642	−	0.210259i
$973$	−21.1344	−	30.1831i	−0.677539	−	0.967626i
$974$	3.22817	+	18.3079i	0.103437	+	0.586622i
$975$	−23.7239	−	1.27320i	−0.759774	−	0.0407750i
$976$	0.718956	−	1.24527i	0.0230132	−	0.0398601i
$977$	29.4029	+	7.87848i	0.940682	+	0.252055i	0.696404	−	0.717650i	$-0.254782\pi$
$977$	29.4029	+	7.87848i	0.940682	+	0.252055i	0.244278	+	0.969705i	$0.421449\pi$
$978$	−5.79372	−	13.6668i	−0.185263	−	0.437015i
$979$	−11.7167	+	13.9635i	−0.374468	+	0.446274i
$980$	2.04396	−	2.86312i	0.0652918	−	0.0914590i
$981$	−3.48084	−	33.4158i	−0.111135	−	1.06688i
$982$	18.8094	+	8.77095i	0.600231	+	0.279892i
$983$	7.88553	−	11.2617i	0.251509	−	0.359192i	−0.673467	−	0.739217i	$-0.735196\pi$
$983$	7.88553	−	11.2617i	0.251509	−	0.359192i	0.924976	+	0.380025i	$0.124085\pi$
$984$	12.4448	−	1.74313i	0.396726	−	0.0555688i
$985$	15.1690	+	12.9659i	0.483323	+	0.413128i
$986$	6.18602	+	7.37221i	0.197003	+	0.234779i
$987$	18.6067	−	36.4759i	0.592257	−	1.16104i
$988$	−5.78960	−	10.4630i	−0.184192	−	0.332871i
$989$	−44.6517			−1.41984
$990$	−11.8428	+	17.1827i	−0.376390	+	0.546101i
$991$	−48.7441	−	17.7414i	−1.54841	−	0.563574i	−0.580363	−	0.814358i	$-0.697089\pi$
$991$	−48.7441	−	17.7414i	−1.54841	−	0.563574i	−0.968043	+	0.250784i	$0.919312\pi$
$992$	1.97334	+	2.81822i	0.0626535	+	0.0894785i
$993$	37.2504	+	11.4075i	1.18210	+	0.362005i
$994$	−3.33088	−	9.15153i	−0.105649	−	0.290269i
$995$	4.98486	−	51.5556i	0.158031	−	1.63442i
$996$	−0.595847	+	0.661139i	−0.0188801	+	0.0209490i
$997$	1.13132	+	12.9310i	0.0358292	+	0.409529i	0.992838	+	0.119470i	$0.0381195\pi$
$997$	1.13132	+	12.9310i	0.0358292	+	0.409529i	−0.957009	+	0.290059i	$0.906325\pi$
$998$	−1.53098	−	17.4992i	−0.0484624	−	0.553928i
$999$	−0.545176	+	5.11857i	−0.0172486	+	0.161944i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	570.2.bi.a.557.15	yes	480
3.2	odd	2	inner	570.2.bi.a.557.40	yes	480
5.3	odd	4	inner	570.2.bi.a.443.35	yes	480
15.8	even	4	inner	570.2.bi.a.443.11	yes	480
19.16	even	9	inner	570.2.bi.a.377.11	yes	480
57.35	odd	18	inner	570.2.bi.a.377.35	yes	480
95.73	odd	36	inner	570.2.bi.a.263.40	yes	480
285.263	even	36	inner	570.2.bi.a.263.15	✓	480

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
570.2.bi.a.263.15	✓	480	285.263	even	36	inner
570.2.bi.a.263.40	yes	480	95.73	odd	36	inner
570.2.bi.a.377.11	yes	480	19.16	even	9	inner
570.2.bi.a.377.35	yes	480	57.35	odd	18	inner
570.2.bi.a.443.11	yes	480	15.8	even	4	inner
570.2.bi.a.443.35	yes	480	5.3	odd	4	inner
570.2.bi.a.557.15	yes	480	1.1	even	1	trivial
570.2.bi.a.557.40	yes	480	3.2	odd	2	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 $\F_{q}$

Level:	\( N \)	\(=\)	\( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	570.bi (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.0871557 + 0.996195i) q^{2} +(1.26729 - 1.18067i) q^{3} +(-0.984808 - 0.173648i) q^{4} +(1.84330 - 1.26579i) q^{5} +(1.06572 + 1.36537i) q^{6} +(2.25017 - 0.602930i) q^{7} +(0.258819 - 0.965926i) q^{8} +(0.212042 - 2.99250i) q^{9} +O(q^{10})\)	\(q+(-0.0871557 + 0.996195i) q^{2} +(1.26729 - 1.18067i) q^{3} +(-0.984808 - 0.173648i) q^{4} +(1.84330 - 1.26579i) q^{5} +(1.06572 + 1.36537i) q^{6} +(2.25017 - 0.602930i) q^{7} +(0.258819 - 0.965926i) q^{8} +(0.212042 - 2.99250i) q^{9} +(1.10032 + 1.94661i) q^{10} +(-2.69412 + 1.55545i) q^{11} +(-1.45306 + 0.942669i) q^{12} +(1.15939 - 2.48632i) q^{13} +(0.404521 + 2.29415i) q^{14} +(0.841517 - 3.78046i) q^{15} +(0.939693 + 0.342020i) q^{16} +(0.243998 - 2.78891i) q^{17} +(2.96263 + 0.472048i) q^{18} +(-1.91371 + 3.91634i) q^{19} +(-2.03510 + 0.926476i) q^{20} +(2.13975 - 3.42079i) q^{21} +(-1.31472 - 2.81943i) q^{22} +(-4.18332 + 2.92919i) q^{23} +(-0.812440 - 1.52969i) q^{24} +(1.79554 - 4.66648i) q^{25} +(2.37581 + 1.37167i) q^{26} +(-3.26443 - 4.04271i) q^{27} +(-2.32068 + 0.203033i) q^{28} +(2.63334 + 2.20964i) q^{29} +(3.69273 + 1.16780i) q^{30} +(1.72020 - 2.97948i) q^{31} +(-0.422618 + 0.906308i) q^{32} +(-1.57776 + 5.15207i) q^{33} +(2.75703 + 0.486139i) q^{34} +(3.38456 - 3.95963i) q^{35} +(-0.728462 + 2.91021i) q^{36} +(-0.700489 - 0.700489i) q^{37} +(-3.73464 - 2.24776i) q^{38} +(-1.46624 - 4.51974i) q^{39} +(-0.745579 - 2.10811i) q^{40} +(-2.48141 + 6.81762i) q^{41} +(3.22128 + 2.42975i) q^{42} +(7.16220 + 5.01503i) q^{43} +(2.92329 - 1.06399i) q^{44} +(-3.39702 - 5.78448i) q^{45} +(-2.55345 - 4.42270i) q^{46} +(10.1097 - 0.884488i) q^{47} +(1.59467 - 0.676028i) q^{48} +(-1.36245 + 0.786613i) q^{49} +(4.49223 + 2.19542i) q^{50} +(-2.98356 - 3.82244i) q^{51} +(-1.57352 + 2.24722i) q^{52} +(2.75156 - 1.92666i) q^{53} +(4.31184 - 2.89966i) q^{54} +(-2.99720 + 6.27736i) q^{55} -2.32954i q^{56} +(2.19867 + 7.22259i) q^{57} +(-2.43074 + 2.43074i) q^{58} +(7.25725 - 6.08955i) q^{59} +(-1.48520 + 3.57689i) q^{60} +(0.249691 - 1.41607i) q^{61} +(2.81822 + 1.97334i) q^{62} +(-1.32714 - 6.86146i) q^{63} +(-0.866025 - 0.500000i) q^{64} +(-1.01006 - 6.05058i) q^{65} +(-4.99495 - 2.02078i) q^{66} +(1.34368 + 15.3584i) q^{67} +(-0.724580 + 2.70417i) q^{68} +(-1.84307 + 8.65125i) q^{69} +(3.64958 + 3.71678i) q^{70} +(-4.11707 + 0.725951i) q^{71} +(-2.83565 - 0.979332i) q^{72} +(-12.9382 + 6.03317i) q^{73} +(0.758875 - 0.636771i) q^{74} +(-3.23410 - 8.03372i) q^{75} +(2.56470 - 3.52453i) q^{76} +(-5.12439 + 5.12439i) q^{77} +(4.63033 - 1.06674i) q^{78} +(-3.12396 + 8.58302i) q^{79} +(2.16507 - 0.559009i) q^{80} +(-8.91008 - 1.26907i) q^{81} +(-6.57541 - 3.06616i) q^{82} +(0.496345 - 0.132995i) q^{83} +(-2.70126 + 2.99726i) q^{84} +(-3.08042 - 5.44966i) q^{85} +(-5.62017 + 6.69786i) q^{86} +(5.94606 - 0.308858i) q^{87} +(0.805160 + 3.00490i) q^{88} +(5.50603 - 2.00403i) q^{89} +(6.05854 - 2.87994i) q^{90} +(1.10974 - 6.29366i) q^{91} +(4.62841 - 2.15826i) q^{92} +(-1.33778 - 5.80685i) q^{93} +10.1484i q^{94} +(1.42972 + 9.64136i) q^{95} +(0.534470 + 1.64753i) q^{96} +(-5.20682 - 0.455538i) q^{97} +(-0.664874 - 1.42583i) q^{98} +(4.08341 + 8.39196i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 480 q+O(q^{10}) \) 480 * q	\( 480 q - 36 q^{15} - 48 q^{18} + 24 q^{22} - 24 q^{25} + 72 q^{33} + 24 q^{43} - 36 q^{45} + 24 q^{51} - 120 q^{55} + 108 q^{57} - 48 q^{60} - 48 q^{61} - 36 q^{63} - 24 q^{66} + 48 q^{67} - 48 q^{70} - 48 q^{78} - 144 q^{81} - 48 q^{85} - 96 q^{87} - 168 q^{90} - 144 q^{91} - 228 q^{93} + 48 q^{97}+O(q^{100}) \) 480 * q - 36 * q^15 - 48 * q^18 + 24 * q^22 - 24 * q^25 + 72 * q^33 + 24 * q^43 - 36 * q^45 + 24 * q^51 - 120 * q^55 + 108 * q^57 - 48 * q^60 - 48 * q^61 - 36 * q^63 - 24 * q^66 + 48 * q^67 - 48 * q^70 - 48 * q^78 - 144 * q^81 - 48 * q^85 - 96 * q^87 - 168 * q^90 - 144 * q^91 - 228 * q^93 + 48 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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