LMFDB - Embedded newform 588.2.x.a.559.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [588,2,Mod(55,588)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(588, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 0, 9]))

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

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

chi := DirichletCharacter("588.55");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 588 = 2^{2} \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	588.x (of order $14$, degree $6$, 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:	$4.69520363885$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			559.9
Character	$\chi$	$=$	588.559
Dual form			588.2.x.a.223.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.743900 - 1.20275i) q^{2} +(-0.222521 - 0.974928i) q^{3} +(-0.893226 + 1.78945i) q^{4} +(-1.38638 + 0.316432i) q^{5} +(-1.00706 + 0.992886i) q^{6} +(-0.327037 + 2.62546i) q^{7} +(2.81674 - 0.256845i) q^{8} +(-0.900969 + 0.433884i) q^{9} +O(q^{10})$	\(q+(-0.743900 - 1.20275i) q^{2} +(-0.222521 - 0.974928i) q^{3} +(-0.893226 + 1.78945i) q^{4} +(-1.38638 + 0.316432i) q^{5} +(-1.00706 + 0.992886i) q^{6} +(-0.327037 + 2.62546i) q^{7} +(2.81674 - 0.256845i) q^{8} +(-0.900969 + 0.433884i) q^{9} +(1.41192 + 1.43208i) q^{10} +(0.736155 - 1.52864i) q^{11} +(1.94335 + 0.472640i) q^{12} +(0.572318 - 1.18843i) q^{13} +(3.40106 - 1.55974i) q^{14} +(0.616996 + 1.28121i) q^{15} +(-2.40429 - 3.19677i) q^{16} +(-1.94350 - 1.54989i) q^{17} +(1.19209 + 0.760876i) q^{18} +7.65788 q^{19} +(0.672109 - 2.76351i) q^{20} +(2.63241 - 0.265383i) q^{21} +(-2.38620 + 0.251744i) q^{22} +(6.25283 - 4.98647i) q^{23} +(-0.877190 - 2.68897i) q^{24} +(-2.68293 + 1.29203i) q^{25} +(-1.85513 + 0.195717i) q^{26} +(0.623490 + 0.781831i) q^{27} +(-4.40603 - 2.93035i) q^{28} +(5.04628 - 6.32784i) q^{29} +(1.08199 - 1.69518i) q^{30} -0.568290 q^{31} +(-2.05637 + 5.26985i) q^{32} +(-1.65412 - 0.377543i) q^{33} +(-0.418364 + 3.49051i) q^{34} +(-0.377383 - 3.74337i) q^{35} +(0.0283536 - 1.99980i) q^{36} +(2.14273 - 2.68690i) q^{37} +(-5.69670 - 9.21053i) q^{38} +(-1.28599 - 0.293518i) q^{39} +(-3.82379 + 1.24739i) q^{40} +(0.860244 - 0.196345i) q^{41} +(-2.27744 - 2.96872i) q^{42} +(3.14099 + 0.716910i) q^{43} +(2.07788 + 2.68274i) q^{44} +(1.11179 - 0.886622i) q^{45} +(-10.6490 - 3.81118i) q^{46} +(5.38800 + 2.59473i) q^{47} +(-2.58162 + 3.05536i) q^{48} +(-6.78609 - 1.71724i) q^{49} +(3.54982 + 2.26576i) q^{50} +(-1.07856 + 2.23965i) q^{51} +(1.61543 + 2.08567i) q^{52} +(-3.41255 - 4.27920i) q^{53} +(0.476536 - 1.33151i) q^{54} +(-0.536878 + 2.35222i) q^{55} +(-0.246840 + 7.47924i) q^{56} +(-1.70404 - 7.46588i) q^{57} +(-11.3648 - 1.36215i) q^{58} +(-2.27091 + 9.94952i) q^{59} +(-2.84378 - 0.0403197i) q^{60} +(-0.303170 - 0.241770i) q^{61} +(0.422751 + 0.683513i) q^{62} +(-0.844495 - 2.50735i) q^{63} +(7.86806 - 1.44693i) q^{64} +(-0.417392 + 1.82871i) q^{65} +(0.776412 + 2.27036i) q^{66} +9.48014i q^{67} +(4.50944 - 2.09340i) q^{68} +(-6.25283 - 4.98647i) q^{69} +(-4.22161 + 3.23859i) q^{70} +(11.7253 - 9.35058i) q^{71} +(-2.42635 + 1.45355i) q^{72} +(1.03475 + 2.14868i) q^{73} +(-4.82565 - 0.578390i) q^{74} +(1.85664 + 2.32816i) q^{75} +(-6.84022 + 13.7034i) q^{76} +(3.77264 + 2.43267i) q^{77} +(0.603616 + 1.76507i) q^{78} -17.1021i q^{79} +(4.34482 + 3.67114i) q^{80} +(0.623490 - 0.781831i) q^{81} +(-0.876090 - 0.888600i) q^{82} +(2.34188 - 1.12779i) q^{83} +(-1.87644 + 4.94762i) q^{84} +(3.18486 + 1.53375i) q^{85} +(-1.47432 - 4.31114i) q^{86} +(-7.29209 - 3.51169i) q^{87} +(1.68093 - 4.49486i) q^{88} +(-5.14003 - 10.6734i) q^{89} +(-1.89345 - 0.677649i) q^{90} +(2.93301 + 1.89126i) q^{91} +(3.33787 + 15.6432i) q^{92} +(0.126457 + 0.554042i) q^{93} +(-0.887323 - 8.41065i) q^{94} +(-10.6167 + 2.42320i) q^{95} +(5.59531 + 0.832163i) q^{96} -1.85665i q^{97} +(2.98275 + 9.43945i) q^{98} +1.69666i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{13}{14}\right)$

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 $

$2$	−0.743900	−	1.20275i	−0.526017	−	0.850474i
$2$	−0.743900	−	1.20275i	−0.526017	−	0.850474i
$3$	−0.222521	−	0.974928i	−0.128473	−	0.562875i
$3$	−0.222521	−	0.974928i	−0.128473	−	0.562875i
$4$	−0.893226	+	1.78945i	−0.446613	+	0.894727i
$5$	−1.38638	+	0.316432i	−0.620007	+	0.141513i	−0.520975	−	0.853572i	$-0.674432\pi$
$5$	−1.38638	+	0.316432i	−0.620007	+	0.141513i	−0.0990318	+	0.995084i	$0.531575\pi$
$6$	−1.00706	+	0.992886i	−0.411132	+	0.405344i
$7$	−0.327037	+	2.62546i	−0.123608	+	0.992331i
$7$	−0.327037	+	2.62546i	−0.123608	+	0.992331i
$8$	2.81674	−	0.256845i	0.995868	−	0.0908086i
$9$	−0.900969	+	0.433884i	−0.300323	+	0.144628i
$10$	1.41192	+	1.43208i	0.446487	+	0.452862i
$11$	0.736155	−	1.52864i	0.221959	−	0.460903i	−0.760018	−	0.649902i	$-0.774810\pi$
$11$	0.736155	−	1.52864i	0.221959	−	0.460903i	0.981977	+	0.188999i	$0.0605243\pi$
$12$	1.94335	+	0.472640i	0.560997	+	0.136439i
$13$	0.572318	−	1.18843i	0.158732	−	0.329611i	−0.806401	−	0.591369i	$-0.798588\pi$
$13$	0.572318	−	1.18843i	0.158732	−	0.329611i	0.965134	+	0.261757i	$0.0843021\pi$
$14$	3.40106	−	1.55974i	0.908972	−	0.416857i
$15$	0.616996	+	1.28121i	0.159308	+	0.330806i
$16$	−2.40429	−	3.19677i	−0.601074	−	0.799194i
$17$	−1.94350	−	1.54989i	−0.471368	−	0.375903i	0.358802	−	0.933414i	$-0.383185\pi$
$17$	−1.94350	−	1.54989i	−0.471368	−	0.375903i	−0.830170	+	0.557510i	$0.811757\pi$
$18$	1.19209	+	0.760876i	0.280977	+	0.179340i
$19$	7.65788			1.75684			0.878419	−	0.477891i	$-0.158599\pi$
$19$	7.65788			1.75684			0.878419	+	0.477891i	$0.158599\pi$
$20$	0.672109	−	2.76351i	0.150288	−	0.617939i
$21$	2.63241	−	0.265383i	0.574439	−	0.0579113i
$22$	−2.38620	+	0.251744i	−0.508740	+	0.0536720i
$23$	6.25283	−	4.98647i	1.30381	−	1.03975i	0.307709	−	0.951480i	$-0.400438\pi$
$23$	6.25283	−	4.98647i	1.30381	−	1.03975i	0.996097	−	0.0882702i	$-0.0281339\pi$
$24$	−0.877190	−	2.68897i	−0.179056	−	0.548883i
$25$	−2.68293	+	1.29203i	−0.536586	+	0.258406i
$26$	−1.85513	+	0.195717i	−0.363822	+	0.0383832i
$27$	0.623490	+	0.781831i	0.119991	+	0.150464i
$28$	−4.40603	−	2.93035i	−0.832661	−	0.553784i
$29$	5.04628	−	6.32784i	0.937071	−	1.17505i	−0.0472885	−	0.998881i	$-0.515058\pi$
$29$	5.04628	−	6.32784i	0.937071	−	1.17505i	0.984360	−	0.176169i	$-0.0563706\pi$
$30$	1.08199	−	1.69518i	0.197543	−	0.309497i
$31$	−0.568290			−0.102068			−0.0510340	−	0.998697i	$-0.516252\pi$
$31$	−0.568290			−0.102068			−0.0510340	+	0.998697i	$0.516252\pi$
$32$	−2.05637	+	5.26985i	−0.363519	+	0.931587i
$33$	−1.65412	−	0.377543i	−0.287946	−	0.0657218i
$34$	−0.418364	+	3.49051i	−0.0717488	+	0.598618i
$35$	−0.377383	−	3.74337i	−0.0637893	−	0.632745i
$36$	0.0283536	−	1.99980i	0.00472560	−	0.333300i
$37$	2.14273	−	2.68690i	0.352263	−	0.441723i	−0.573856	−	0.818956i	$-0.694553\pi$
$37$	2.14273	−	2.68690i	0.352263	−	0.441723i	0.926118	+	0.377233i	$0.123124\pi$
$38$	−5.69670	−	9.21053i	−0.924126	−	1.49415i
$39$	−1.28599	−	0.293518i	−0.205923	−	0.0470005i
$40$	−3.82379	+	1.24739i	−0.604595	+	0.197230i
$41$	0.860244	−	0.196345i	0.134348	−	0.0306640i	−0.154818	−	0.987943i	$-0.549479\pi$
$41$	0.860244	−	0.196345i	0.134348	−	0.0306640i	0.289166	+	0.957279i	$0.406622\pi$
$42$	−2.27744	−	2.96872i	−0.351416	−	0.458083i
$43$	3.14099	+	0.716910i	0.478996	+	0.109328i	0.455200	−	0.890389i	$-0.349568\pi$
$43$	3.14099	+	0.716910i	0.478996	+	0.109328i	0.0237959	+	0.999717i	$0.492425\pi$
$44$	2.07788	+	2.68274i	0.313252	+	0.404438i
$45$	1.11179	−	0.886622i	0.165736	−	0.132170i
$46$	−10.6490	−	3.81118i	−1.57010	−	0.561927i
$47$	5.38800	+	2.59473i	0.785921	+	0.378480i	0.783400	−	0.621517i	$-0.213483\pi$
$47$	5.38800	+	2.59473i	0.785921	+	0.378480i	0.00252046	+	0.999997i	$0.499198\pi$
$48$	−2.58162	+	3.05536i	−0.372625	+	0.441004i
$49$	−6.78609	−	1.71724i	−0.969442	−	0.245321i
$50$	3.54982	+	2.26576i	0.502021	+	0.320426i
$51$	−1.07856	+	2.23965i	−0.151029	+	0.313614i
$52$	1.61543	+	2.08567i	0.224020	+	0.289231i
$53$	−3.41255	−	4.27920i	−0.468749	−	0.587793i	0.490115	−	0.871658i	$-0.336955\pi$
$53$	−3.41255	−	4.27920i	−0.468749	−	0.587793i	−0.958864	+	0.283865i	$0.908383\pi$
$54$	0.476536	−	1.33151i	0.0648483	−	0.181195i
$55$	−0.536878	+	2.35222i	−0.0723927	+	0.317173i
$56$	−0.246840	+	7.47924i	−0.0329854	+	0.999456i
$57$	−1.70404	−	7.46588i	−0.225705	−	0.988880i
$58$	−11.3648	−	1.36215i	−1.49227	−	0.178859i
$59$	−2.27091	+	9.94952i	−0.295648	+	1.29532i	0.580889	+	0.813983i	$0.302705\pi$
$59$	−2.27091	+	9.94952i	−0.295648	+	1.29532i	−0.876537	+	0.481335i	$0.840152\pi$
$60$	−2.84378	−	0.0403197i	−0.367130	−	0.00520525i
$61$	−0.303170	−	0.241770i	−0.0388169	−	0.0309555i	0.603889	−	0.797068i	$-0.293617\pi$
$61$	−0.303170	−	0.241770i	−0.0388169	−	0.0309555i	−0.642706	+	0.766113i	$0.722188\pi$
$62$	0.422751	+	0.683513i	0.0536895	+	0.0868062i
$63$	−0.844495	−	2.50735i	−0.106396	−	0.315897i
$64$	7.86806	−	1.44693i	0.983508	−	0.180867i
$65$	−0.417392	+	1.82871i	−0.0517711	+	0.226824i
$66$	0.776412	+	2.27036i	0.0955697	+	0.279462i
$67$			9.48014i			1.15818i	0.815263	+	0.579092i	$0.196593\pi$
$67$			9.48014i			1.15818i	−0.815263	+	0.579092i	$0.803407\pi$
$68$	4.50944	−	2.09340i	0.546850	−	0.253862i
$69$	−6.25283	−	4.98647i	−0.752753	−	0.600300i
$70$	−4.22161	+	3.23859i	−0.504579	+	0.387085i
$71$	11.7253	−	9.35058i	1.39153	−	1.10971i	0.411380	−	0.911464i	$-0.365047\pi$
$71$	11.7253	−	9.35058i	1.39153	−	1.10971i	0.980152	−	0.198246i	$-0.0635244\pi$
$72$	−2.42635	+	1.45355i	−0.285949	+	0.171302i
$73$	1.03475	+	2.14868i	0.121108	+	0.251484i	0.952705	−	0.303895i	$-0.0982873\pi$
$73$	1.03475	+	2.14868i	0.121108	+	0.251484i	−0.831597	+	0.555380i	$0.812573\pi$
$74$	−4.82565	−	0.578390i	−0.560970	−	0.0672365i
$75$	1.85664	+	2.32816i	0.214387	+	0.268833i
$76$	−6.84022	+	13.7034i	−0.784627	+	1.57189i
$77$	3.77264	+	2.43267i	0.429932	+	0.277228i
$78$	0.603616	+	1.76507i	0.0683460	+	0.199855i
$79$		−	17.1021i		−	1.92413i	−0.272817	−	0.962066i	$-0.587955\pi$
$79$		−	17.1021i		−	1.92413i	0.272817	−	0.962066i	$-0.412045\pi$
$80$	4.34482	+	3.67114i	0.485766	+	0.410446i
$81$	0.623490	−	0.781831i	0.0692766	−	0.0868702i
$82$	−0.876090	−	0.888600i	−0.0967480	−	0.0981294i
$83$	2.34188	−	1.12779i	0.257055	−	0.123791i	−0.300919	−	0.953650i	$-0.597293\pi$
$83$	2.34188	−	1.12779i	0.257055	−	0.123791i	0.557974	+	0.829859i	$0.311579\pi$
$84$	−1.87644	+	4.94762i	−0.204737	+	0.539830i
$85$	3.18486	+	1.53375i	0.345447	+	0.166358i
$86$	−1.47432	−	4.31114i	−0.158980	−	0.464882i
$87$	−7.29209	−	3.51169i	−0.781794	−	0.376492i
$88$	1.68093	−	4.49486i	0.179188	−	0.479154i
$89$	−5.14003	−	10.6734i	−0.544842	−	1.13138i	−0.973664	−	0.227987i	$-0.926786\pi$
$89$	−5.14003	−	10.6734i	−0.544842	−	1.13138i	0.428823	−	0.903389i	$-0.358929\pi$
$90$	−1.89345	−	0.677649i	−0.199587	−	0.0714304i
$91$	2.93301	+	1.89126i	0.307463	+	0.198258i
$92$	3.33787	+	15.6432i	0.347997	+	1.63092i
$93$	0.126457	+	0.554042i	0.0131129	+	0.0574515i
$94$	−0.887323	−	8.41065i	−0.0915204	−	0.867492i
$95$	−10.6167	+	2.42320i	−1.08925	+	0.248615i
$96$	5.59531	+	0.832163i	0.571069	+	0.0849323i
$97$		−	1.85665i		−	0.188514i	−0.995548	−	0.0942571i	$-0.969952\pi$
$97$		−	1.85665i		−	0.188514i	0.995548	−	0.0942571i	$-0.0300476\pi$
$98$	2.98275	+	9.43945i	0.301304	+	0.953528i
$99$			1.69666i			0.170521i
$100$	0.0844320	−	5.95505i	0.00844320	−	0.595505i
$101$	5.36275	−	1.22401i	0.533614	−	0.121794i	0.0527808	−	0.998606i	$-0.483192\pi$
$101$	5.36275	−	1.22401i	0.533614	−	0.121794i	0.480833	+	0.876812i	$0.340334\pi$
$102$	3.49609	−	0.368837i	0.346165	−	0.0365203i
$103$	2.64732	+	11.5987i	0.260848	+	1.14285i	0.920334	+	0.391133i	$0.127917\pi$
$103$	2.64732	+	11.5987i	0.260848	+	1.14285i	−0.659486	+	0.751717i	$0.729226\pi$
$104$	1.30683	−	3.49450i	0.128145	−	0.342664i
$105$	−3.56554	+	1.20090i	−0.347961	+	0.117196i
$106$	−2.60822	+	7.28774i	−0.253333	+	0.707848i
$107$	−0.867216	−	1.80079i	−0.0838369	−	0.174089i	0.854836	−	0.518899i	$-0.173658\pi$
$107$	−0.867216	−	1.80079i	−0.0838369	−	0.174089i	−0.938673	+	0.344810i	$0.887944\pi$
$108$	−1.95597	+	0.417354i	−0.188213	+	0.0401600i
$109$	13.2211	+	6.36695i	1.26635	+	0.609844i	0.941848	−	0.336040i	$-0.109088\pi$
$109$	13.2211	+	6.36695i	1.26635	+	0.609844i	0.324506	+	0.945884i	$0.394802\pi$
$110$	3.22852	−	1.10408i	0.307827	−	0.105270i
$111$	−3.09633	−	1.49112i	−0.293891	−	0.141530i
$112$	9.17930	−	5.26692i	0.867362	−	0.497677i
$113$	−6.52739	+	3.14343i	−0.614046	+	0.295709i	−0.714937	−	0.699189i	$-0.753545\pi$
$113$	−6.52739	+	3.14343i	−0.614046	+	0.295709i	0.100892	+	0.994897i	$0.467830\pi$
$114$	−7.71197	+	7.60340i	−0.722292	+	0.712124i
$115$	−7.09092	+	8.89173i	−0.661231	+	0.829158i
$116$	6.81591	+	14.6823i	0.632841	+	1.36322i
$117$			1.31906i			0.121947i
$118$	13.6561	−	4.67010i	1.25715	−	0.429918i
$119$	4.70477	−	4.59571i	0.431286	−	0.421288i
$120$	2.06699	+	3.45035i	0.188690	+	0.314973i
$121$	5.06357	+	6.34951i	0.460324	+	0.577229i
$122$	−0.0652613	+	0.544491i	−0.00590848	+	0.0492959i
$123$	−0.382845	−	0.794985i	−0.0345200	−	0.0716814i
$124$	0.507612	−	1.01693i	0.0455849	−	0.0913230i
$125$	8.86966	−	7.07332i	0.793327	−	0.632657i
$126$	−2.38751	+	2.88094i	−0.212696	+	0.256654i
$127$	−6.95401	−	5.54563i	−0.617068	−	0.492095i	0.264353	−	0.964426i	$-0.414841\pi$
$127$	−6.95401	−	5.54563i	−0.617068	−	0.492095i	−0.881422	+	0.472330i	$0.843413\pi$
$128$	−7.59335	−	8.38695i	−0.671164	−	0.741309i
$129$		−	3.22176i		−	0.283661i
$130$	2.50999	−	0.858361i	0.220141	−	0.0752832i
$131$	−0.382231	+	1.67466i	−0.0333956	+	0.146316i	−0.988877	−	0.148736i	$-0.952480\pi$
$131$	−0.382231	+	1.67466i	−0.0333956	+	0.146316i	0.955481	+	0.295051i	$0.0953368\pi$
$132$	2.15310	−	2.62275i	0.187404	−	0.228281i
$133$	−2.50441	+	20.1055i	−0.217160	+	1.74337i
$134$	11.4023	−	7.05227i	0.985005	−	0.609224i
$135$	−1.11179	−	0.886622i	−0.0956876	−	0.0763083i
$136$	−5.87242	−	3.86646i	−0.503556	−	0.331546i
$137$	−1.63330	+	7.15595i	−0.139542	+	0.611374i	0.855993	+	0.516987i	$0.172946\pi$
$137$	−1.63330	+	7.15595i	−0.139542	+	0.611374i	−0.995536	+	0.0943873i	$0.969911\pi$
$138$	−1.34600	+	11.2300i	−0.114579	+	0.955965i
$139$	−1.58739	−	6.95481i	−0.134641	−	0.589899i	−0.996561	−	0.0828565i	$-0.973596\pi$
$139$	−1.58739	−	6.95481i	−0.134641	−	0.589899i	0.861921	−	0.507043i	$-0.169261\pi$
$140$	7.03567	+	2.66836i	0.594623	+	0.225518i
$141$	1.33073	−	5.83029i	0.112067	−	0.490999i
$142$	−19.9689	−	7.14668i	−1.67575	−	0.599736i
$143$	−1.39537	−	1.74974i	−0.116687	−	0.146320i
$144$	3.55322	+	1.83701i	0.296102	+	0.153084i
$145$	−4.99373	+	10.3696i	−0.414707	+	0.861147i
$146$	1.81458	−	2.84295i	0.150176	−	0.235285i
$147$	−0.164142	+	6.99808i	−0.0135382	+	0.577192i
$148$	2.89414	+	6.23433i	0.237897	+	0.512458i
$149$	15.9373	+	7.67499i	1.30563	+	0.628759i	0.951849	−	0.306568i	$-0.0991806\pi$
$149$	15.9373	+	7.67499i	1.30563	+	0.628759i	0.353784	+	0.935327i	$0.384895\pi$
$150$	1.41904	−	3.96500i	0.115864	−	0.323741i
$151$	9.57613	−	7.63671i	0.779294	−	0.621466i	−0.150894	−	0.988550i	$-0.548215\pi$
$151$	9.57613	−	7.63671i	0.779294	−	0.621466i	0.930188	+	0.367084i	$0.119644\pi$
$152$	21.5703	−	1.96689i	1.74958	−	0.159536i
$153$	2.42350	+	0.553149i	0.195929	+	0.0447195i
$154$	0.119431	−	6.34721i	0.00962404	−	0.511473i
$155$	0.787866	−	0.179825i	0.0632829	−	0.0144439i
$156$	1.67391	−	2.03904i	0.134020	−	0.163254i
$157$	−8.41676	−	1.92107i	−0.671731	−	0.153318i	−0.126966	−	0.991907i	$-0.540524\pi$
$157$	−8.41676	−	1.92107i	−0.671731	−	0.153318i	−0.544765	+	0.838589i	$0.683381\pi$
$158$	−20.5695	+	12.7222i	−1.63642	+	1.01213i
$159$	−3.41255	+	4.27920i	−0.270633	+	0.339363i
$160$	1.18336	−	7.95671i	0.0935530	−	0.629033i
$161$	11.0469	+	18.0473i	0.870616	+	1.42233i
$162$	−1.40416	−	0.168299i	−0.110322	−	0.0132229i
$163$	9.11997	+	2.08157i	0.714331	+	0.163041i	0.564216	−	0.825627i	$-0.309179\pi$
$163$	9.11997	+	2.08157i	0.714331	+	0.163041i	0.150115	+	0.988669i	$0.452036\pi$
$164$	−0.417042	+	1.71475i	−0.0325655	+	0.133899i
$165$	2.41271			0.187829
$166$	−3.09858	−	1.97774i	−0.240496	−	0.153502i
$167$	−5.37750	+	6.74317i	−0.416123	+	0.521802i	−0.945077	−	0.326849i	$-0.894013\pi$
$167$	−5.37750	+	6.74317i	−0.416123	+	0.521802i	0.528954	+	0.848651i	$0.322585\pi$
$168$	7.34665	−	1.42364i	0.566806	−	0.109836i
$169$	7.02055	+	8.80349i	0.540042	+	0.677191i
$170$	−0.524498	−	4.97155i	−0.0402272	−	0.381301i
$171$	−6.89951	+	3.32263i	−0.527619	+	0.254088i
$172$	−4.08849	+	4.98029i	−0.311744	+	0.379744i
$173$	−15.7125	+	12.5303i	−1.19460	+	0.952659i	−0.999604	−	0.0281460i	$-0.991040\pi$
$173$	−15.7125	+	12.5303i	−1.19460	+	0.952659i	−0.194992	+	0.980805i	$0.562468\pi$
$174$	1.20090	+	11.3829i	0.0910398	+	0.862937i
$175$	−2.51476	−	7.46647i	−0.190098	−	0.564412i
$176$	−6.65665	+	1.32198i	−0.501764	+	0.0996482i
$177$	10.2054			0.767084
$178$	−9.01376	+	14.1221i	−0.675610	+	1.05850i
$179$	−1.46121	−	1.16527i	−0.109216	−	0.0870966i	0.567359	−	0.823470i	$-0.307965\pi$
$179$	−1.46121	−	1.16527i	−0.109216	−	0.0870966i	−0.676575	+	0.736374i	$0.736537\pi$
$180$	0.593491	+	2.78145i	0.0442362	+	0.207317i
$181$	9.98002	+	20.7237i	0.741809	+	1.54038i	0.838398	+	0.545058i	$0.183492\pi$
$181$	9.98002	+	20.7237i	0.741809	+	1.54038i	−0.0965889	+	0.995324i	$0.530793\pi$
$182$	0.0928509	−	4.93459i	0.00688257	−	0.365776i
$183$	−0.168247	+	0.349368i	−0.0124372	+	0.0258260i
$184$	16.3319	−	15.6516i	1.20400	−	1.15385i
$185$	−2.12041	+	4.40309i	−0.155896	+	0.323721i
$186$	0.572305	−	0.564248i	0.0419634	−	0.0413727i
$187$	−3.79994	+	1.82995i	−0.277879	+	0.133820i
$188$	−9.45585	+	7.32391i	−0.689638	+	0.534151i
$189$	−2.25657	+	1.38126i	−0.164141	+	0.100472i
$190$	10.8123	+	10.9667i	0.784405	+	0.795606i
$191$	−10.1773	+	2.32290i	−0.736403	+	0.168079i	−0.574243	−	0.818685i	$-0.694703\pi$
$191$	−10.1773	+	2.32290i	−0.736403	+	0.168079i	−0.162160	+	0.986764i	$0.551846\pi$
$192$	−3.16146	−	7.34882i	−0.228159	−	0.530355i
$193$	−4.83158	−	21.1685i	−0.347785	−	1.52375i	−0.782197	−	0.623031i	$-0.785901\pi$
$193$	−4.83158	−	21.1685i	−0.347785	−	1.52375i	0.434412	−	0.900714i	$-0.356956\pi$
$194$	−2.23309	+	1.38116i	−0.160326	+	0.0991616i
$195$	1.87574			0.134325
$196$	9.13445	−	10.6095i	0.652460	−	0.757823i
$197$	−16.7464			−1.19313			−0.596567	−	0.802563i	$-0.703469\pi$
$197$	−16.7464			−1.19313			−0.596567	+	0.802563i	$0.703469\pi$
$198$	2.04067	−	1.26215i	0.145024	−	0.0896969i
$199$	−4.96566	−	21.7560i	−0.352007	−	1.54224i	−0.772541	−	0.634965i	$-0.781015\pi$
$199$	−4.96566	−	21.7560i	−0.352007	−	1.54224i	0.420534	−	0.907277i	$-0.361843\pi$
$200$	−7.22526	+	4.32841i	−0.510903	+	0.306065i
$201$	9.24245	−	2.10953i	0.651912	−	0.148795i
$202$	−5.46153	−	5.53952i	−0.384272	−	0.389759i
$203$	14.9632	+	15.3183i	1.05021	+	1.07513i
$204$	−3.04436	−	3.93055i	−0.213148	−	0.275194i
$205$	−1.13049	+	0.544417i	−0.0789572	+	0.0380238i
$206$	11.9810	−	11.8123i	0.834754	−	0.823002i
$207$	−3.47006	+	7.20566i	−0.241186	+	0.500828i
$208$	−5.17517	+	1.02777i	−0.358833	+	0.0712627i
$209$	5.63738	−	11.7061i	0.389946	−	0.809731i
$210$	4.09679	+	3.39511i	0.282705	+	0.234285i
$211$	−0.129921	−	0.269783i	−0.00894411	−	0.0185726i	0.896449	−	0.443147i	$-0.146138\pi$
$211$	−0.129921	−	0.269783i	−0.00894411	−	0.0185726i	−0.905393	+	0.424574i	$0.860424\pi$
$212$	10.7056	−	2.28431i	0.735264	−	0.156887i
$213$	−11.7253	−	9.35058i	−0.803401	−	0.640691i
$214$	−1.52078	+	2.38265i	−0.103959	+	0.162875i
$215$	−4.58145			−0.312452
$216$	1.95702	+	2.04208i	0.133158	+	0.138946i
$217$	0.185852	−	1.49202i	0.0126164	−	0.101285i
$218$	−2.17732	−	20.6381i	−0.147467	−	1.39779i
$219$	1.86456	−	1.48693i	0.125995	−	0.100478i
$220$	−3.72963	−	3.06178i	−0.251452	−	0.206425i
$221$	−2.95424	+	1.42268i	−0.198723	+	0.0957001i
$222$	0.509920	+	4.83337i	0.0342236	+	0.324394i
$223$	6.03154	+	7.56332i	0.403902	+	0.506477i	0.941634	−	0.336639i	$-0.109290\pi$
$223$	6.03154	+	7.56332i	0.403902	+	0.506477i	−0.537732	+	0.843116i	$0.680719\pi$
$224$	−13.1633	−	7.12236i	−0.879509	−	0.475883i
$225$	1.85664	−	2.32816i	0.123776	−	0.155211i
$226$	8.63649	+	5.51244i	0.574491	+	0.366682i
$227$	−27.4958			−1.82496			−0.912480	−	0.409121i	$-0.865835\pi$
$227$	−27.4958			−1.82496			−0.912480	+	0.409121i	$0.865835\pi$
$228$	14.8819	+	3.61942i	0.985581	+	0.239702i
$229$	−11.0203	−	2.51531i	−0.728242	−	0.166217i	−0.157703	−	0.987487i	$-0.550409\pi$
$229$	−11.0203	−	2.51531i	−0.728242	−	0.166217i	−0.570540	+	0.821270i	$0.693266\pi$
$230$	15.9695	+	1.91406i	1.05300	+	0.126209i
$231$	1.53218	−	4.21937i	0.100810	−	0.277614i
$232$	12.5888	−	19.1200i	0.826495	−	1.25529i
$233$	4.73593	−	5.93866i	0.310261	−	0.389055i	−0.602114	−	0.798410i	$-0.705675\pi$
$233$	4.73593	−	5.93866i	0.310261	−	0.389055i	0.912375	+	0.409355i	$0.134246\pi$
$234$	1.58650	−	0.981247i	0.103713	−	0.0641461i
$235$	−8.29086	−	1.89234i	−0.540836	−	0.123442i
$236$	−15.7758	−	12.9509i	−1.02692	−	0.843030i
$237$	−16.6733	+	3.80557i	−1.08305	+	0.247198i
$238$	−9.02738	−	2.23992i	−0.585158	−	0.145193i
$239$	−13.2894	−	3.03321i	−0.859617	−	0.196202i	−0.230079	−	0.973172i	$-0.573899\pi$
$239$	−13.2894	−	3.03321i	−0.859617	−	0.196202i	−0.629538	+	0.776970i	$0.716756\pi$
$240$	2.61229	−	5.05280i	0.168622	−	0.326157i
$241$	−13.4427	+	10.7202i	−0.865921	+	0.690549i	−0.952119	−	0.305729i	$-0.901100\pi$
$241$	−13.4427	+	10.7202i	−0.865921	+	0.690549i	0.0861975	+	0.996278i	$0.472528\pi$
$242$	3.87010	−	10.8136i	0.248780	−	0.695126i
$243$	−0.900969	−	0.433884i	−0.0577972	−	0.0278337i
$244$	0.703436	−	0.326554i	0.0450329	−	0.0209055i
$245$	9.95148	+	0.233415i	0.635777	+	0.0149123i
$246$	−0.671372	+	1.05186i	−0.0428051	+	0.0670639i
$247$	4.38274	−	9.10086i	0.278867	−	0.579074i
$248$	−1.60073	+	0.145963i	−0.101646	+	0.00926865i
$249$	−1.62063	−	2.03221i	−0.102703	−	0.128786i
$250$	−15.1056	−	5.40616i	−0.955361	−	0.341916i
$251$	−0.598821	+	2.62360i	−0.0377972	+	0.165600i	−0.990304	−	0.138917i	$-0.955638\pi$
$251$	−0.598821	+	2.62360i	−0.0377972	+	0.165600i	0.952507	+	0.304517i	$0.0984951\pi$
$252$	5.24112	+	0.728449i	0.330160	+	0.0458880i
$253$	−3.01947	−	13.2291i	−0.189832	−	0.831710i
$254$	−1.49694	+	12.4893i	−0.0939264	+	0.783651i
$255$	0.786596	−	3.44630i	0.0492585	−	0.215816i
$256$	−4.43873	+	15.3720i	−0.277421	+	0.960748i
$257$	−14.7566	−	11.7680i	−0.920493	−	0.734069i	0.0437629	−	0.999042i	$-0.486065\pi$
$257$	−14.7566	−	11.7680i	−0.920493	−	0.734069i	−0.964256	+	0.264973i	$0.914637\pi$
$258$	−3.87498	+	2.39667i	−0.241246	+	0.149210i
$259$	6.35360	+	6.50437i	0.394793	+	0.404162i
$260$	−2.89958	−	2.38036i	−0.179824	−	0.147624i
$261$	−1.80100	+	7.89069i	−0.111479	+	0.488421i
$262$	2.29854	−	0.786052i	0.142005	−	0.0485624i
$263$		−	10.5675i		−	0.651622i	−0.945435	−	0.325811i	$-0.894363\pi$
$263$		−	10.5675i		−	0.651622i	0.945435	−	0.325811i	$-0.105637\pi$
$264$	−4.75621	−	0.638587i	−0.292725	−	0.0393023i
$265$	6.08516	+	4.85275i	0.373808	+	0.298102i
$266$	26.0449	−	11.9443i	1.59692	−	0.732350i
$267$	−9.26201	+	7.38620i	−0.566826	+	0.452028i
$268$	−16.9643	−	8.46790i	−1.03626	−	0.517260i
$269$	−6.04268	−	12.5478i	−0.368429	−	0.765051i	0.631518	−	0.775361i	$-0.282432\pi$
$269$	−6.04268	−	12.5478i	−0.368429	−	0.765051i	−0.999947	+	0.0103107i	$0.996718\pi$
$270$	−0.239327	+	1.99677i	−0.0145650	+	0.121519i
$271$	20.2776	+	25.4273i	1.23177	+	1.54460i	0.737607	+	0.675230i	$0.235956\pi$
$271$	20.2776	+	25.4273i	1.23177	+	1.54460i	0.494167	+	0.869367i	$0.335473\pi$
$272$	−0.281900	+	9.93932i	−0.0170927	+	0.602660i
$273$	1.19119	−	3.28032i	0.0720938	−	0.198534i
$274$	9.82184	−	3.35886i	0.593359	−	0.202916i
$275$			5.05237i			0.304669i
$276$	14.5083	−	6.73512i	0.873294	−	0.405406i
$277$	13.9750	−	17.5241i	0.839677	−	1.05292i	−0.158175	−	0.987411i	$-0.550561\pi$
$277$	13.9750	−	17.5241i	0.839677	−	1.05292i	0.997852	−	0.0655109i	$-0.0208677\pi$
$278$	−7.18406	+	7.08292i	−0.430871	+	0.424805i
$279$	0.512012	−	0.246572i	0.0306534	−	0.0147619i
$280$	−2.02446	−	10.4472i	−0.120984	−	0.624338i
$281$	−7.95677	−	3.83178i	−0.474661	−	0.228585i	0.181229	−	0.983441i	$-0.441992\pi$
$281$	−7.95677	−	3.83178i	−0.474661	−	0.228585i	−0.655890	+	0.754856i	$0.727707\pi$
$282$	−8.00233	+	2.73662i	−0.476532	+	0.162963i
$283$	11.6399	+	5.60548i	0.691921	+	0.333211i	0.746582	−	0.665294i	$-0.231694\pi$
$283$	11.6399	+	5.60548i	0.691921	+	0.333211i	−0.0546612	+	0.998505i	$0.517408\pi$
$284$	6.25913	+	29.3340i	0.371411	+	1.74065i
$285$	4.72488	+	9.81132i	0.279878	+	0.581173i
$286$	−1.06649	+	2.97991i	−0.0630626	+	0.176206i
$287$	0.234165	+	2.32275i	0.0138223	+	0.137108i
$288$	−0.433775	−	5.64020i	−0.0255604	−	0.332352i
$289$	−2.40782	−	10.5494i	−0.141637	−	0.620550i
$290$	16.1869	−	1.70771i	0.950526	−	0.100280i
$291$	−1.81010	+	0.413143i	−0.106110	+	0.0242189i
$292$	−4.76924	−	0.0676193i	−0.279098	−	0.00395712i
$293$		−	20.3547i		−	1.18913i	−0.804047	−	0.594566i	$-0.797324\pi$
$293$		−	20.3547i		−	1.18913i	0.804047	−	0.594566i	$-0.202676\pi$
$294$	8.53906	−	5.00845i	0.498008	−	0.292098i
$295$		−	14.5124i		−	0.844944i
$296$	5.34540	−	8.11865i	0.310695	−	0.471887i
$297$	1.65412	−	0.377543i	0.0959820	−	0.0219073i
$298$	−2.62463	−	24.8780i	−0.152041	−	1.44114i
$299$	−2.34746	−	10.2849i	−0.135757	−	0.594791i
$300$	−5.82454	+	1.24281i	−0.336280	+	0.0717536i
$301$	−2.90944	+	8.01209i	−0.167697	+	0.461809i
$302$	−16.3087	−	5.83676i	−0.938463	−	0.335868i
$303$	−2.38665	−	4.95593i	−0.137109	−	0.284711i
$304$	−18.4118	−	24.4805i	−1.05599	−	1.40405i
$305$	0.496812	+	0.239252i	0.0284474	+	0.0136995i
$306$	−1.13754	−	3.32636i	−0.0650290	−	0.190156i
$307$	5.64999	+	2.72089i	0.322462	+	0.155290i	0.588111	−	0.808780i	$-0.299872\pi$
$307$	5.64999	+	2.72089i	0.322462	+	0.155290i	−0.265649	+	0.964070i	$0.585586\pi$
$308$	−7.72297	+	4.57804i	−0.440057	+	0.260858i
$309$	10.7188	−	5.16189i	0.609770	−	0.293650i
$310$	−0.802378	−	0.813835i	−0.0455720	−	0.0462227i
$311$	−11.9476	+	14.9819i	−0.677489	+	0.849544i	−0.995120	−	0.0986701i	$-0.968541\pi$
$311$	−11.9476	+	14.9819i	−0.677489	+	0.849544i	0.317631	+	0.948214i	$0.397113\pi$
$312$	−3.69768	−	0.496465i	−0.209340	−	0.0281068i
$313$			21.0129i			1.18772i	0.804568	+	0.593860i	$0.202397\pi$
$313$			21.0129i			1.18772i	−0.804568	+	0.593860i	$0.797603\pi$
$314$	3.95066	+	11.5524i	0.222948	+	0.651938i
$315$	1.96420	+	3.20892i	0.110670	+	0.180802i
$316$	30.6034	+	15.2760i	1.72157	+	0.859342i
$317$	−2.88704	−	3.62023i	−0.162152	−	0.203333i	0.694117	−	0.719862i	$-0.255795\pi$
$317$	−2.88704	−	3.62023i	−0.162152	−	0.203333i	−0.856269	+	0.516530i	$0.827224\pi$
$318$	7.68541	+	0.921153i	0.430976	+	0.0516557i
$319$	−5.95815	−	12.3722i	−0.333592	−	0.692712i
$320$	−10.4503	+	4.49570i	−0.584187	+	0.251317i
$321$	−1.56267	+	1.24619i	−0.0872196	+	0.0695553i
$322$	13.4887	−	26.7121i	0.751696	−	1.48860i
$323$	−14.8831	−	11.8689i	−0.828117	−	0.660401i
$324$	0.842135	+	1.81406i	0.0467853	+	0.100781i
$325$			3.92793i			0.217882i
$326$	−4.28072	−	12.5175i	−0.237087	−	0.693282i
$327$	3.26535	−	14.3064i	0.180574	−	0.791147i
$328$	2.37266	−	0.774003i	0.131008	−	0.0427372i
$329$	−8.57443	+	13.2974i	−0.472723	+	0.733111i
$330$	−1.79481	−	2.90189i	−0.0988013	−	0.159744i
$331$	−10.5148	−	8.38531i	−0.577948	−	0.460898i	0.290364	−	0.956916i	$-0.406224\pi$
$331$	−10.5148	−	8.38531i	−0.577948	−	0.460898i	−0.868312	+	0.496018i	$0.834795\pi$
$332$	−0.0736992	+	5.19806i	−0.00404477	+	0.285281i
$333$	−0.764732	+	3.35051i	−0.0419070	+	0.183607i
$334$	12.1107	+	1.45155i	0.662667	+	0.0794255i
$335$	−2.99982	−	13.1431i	−0.163898	−	0.718082i
$336$	−7.17745	−	7.77716i	−0.391562	−	0.424279i
$337$	−3.73331	+	16.3567i	−0.203366	+	0.891005i	0.765503	+	0.643432i	$0.222490\pi$
$337$	−3.73331	+	16.3567i	−0.203366	+	0.891005i	−0.968869	+	0.247573i	$0.920367\pi$
$338$	5.36583	−	14.9929i	0.291863	−	0.815506i
$339$	4.51710	+	5.66426i	0.245335	+	0.307640i
$340$	−5.58937	+	4.32918i	−0.303126	+	0.234783i
$341$	−0.418350	+	0.868712i	−0.0226549	+	0.0470434i
$342$	9.12885	+	5.82670i	0.493631	+	0.315072i
$343$	6.72786	−	17.2550i	0.363270	−	0.931684i
$344$	9.03149	+	1.21260i	0.486945	+	0.0653791i
$345$	10.2467	+	4.93454i	0.551662	+	0.265667i
$346$	26.7593	+	9.57693i	1.43859	+	0.514859i
$347$	−5.59985	+	4.46573i	−0.300616	+	0.239733i	−0.762167	−	0.647381i	$-0.775864\pi$
$347$	−5.59985	+	4.46573i	−0.300616	+	0.239733i	0.461551	+	0.887114i	$0.347293\pi$
$348$	12.7975	−	9.91214i	0.686017	−	0.531346i
$349$	4.00327	+	0.913720i	0.214290	+	0.0489103i	0.328318	−	0.944567i	$-0.393518\pi$
$349$	4.00327	+	0.913720i	0.214290	+	0.0489103i	−0.114028	+	0.993478i	$0.536375\pi$
$350$	−7.10958	+	8.57894i	−0.380023	+	0.458563i
$351$	1.28599	−	0.293518i	0.0686409	−	0.0156668i
$352$	6.54190	+	7.02288i	0.348684	+	0.374321i
$353$	−10.4353	−	2.38180i	−0.555418	−	0.126770i	−0.0644065	−	0.997924i	$-0.520515\pi$
$353$	−10.4353	−	2.38180i	−0.555418	−	0.126770i	−0.491011	+	0.871153i	$0.663373\pi$
$354$	−7.59179	−	12.2746i	−0.403499	−	0.652385i
$355$	−13.2968	+	16.6737i	−0.705722	+	0.884948i
$356$	23.6907	+	0.335892i	1.25561	+	0.0178022i
$357$	−5.52740	−	3.56417i	−0.292541	−	0.188636i
$358$	−0.314544	+	2.62432i	−0.0166242	+	0.138699i
$359$	12.0515	+	2.75068i	0.636054	+	0.145175i	0.528376	−	0.849011i	$-0.322801\pi$
$359$	12.0515	+	2.75068i	0.636054	+	0.145175i	0.107678	+	0.994186i	$0.465658\pi$
$360$	2.90390	−	2.78294i	0.153049	−	0.146674i
$361$	39.6431			2.08648
$362$	17.5014	−	27.4199i	0.919852	−	1.44116i
$363$	5.06357	−	6.34951i	0.265768	−	0.333263i
$364$	−6.00416	+	3.55917i	−0.314704	+	0.186551i
$365$	−2.11447	−	2.65146i	−0.110676	−	0.138784i
$366$	0.545362	−	0.0575356i	0.0285065	−	0.00300743i
$367$	5.18409	−	2.49653i	0.270607	−	0.130318i	−0.293660	−	0.955910i	$-0.594873\pi$
$367$	5.18409	−	2.49653i	0.270607	−	0.130318i	0.564267	+	0.825592i	$0.309159\pi$
$368$	−30.9743	−	7.99996i	−1.61465	−	0.417027i
$369$	−0.689862	+	0.550147i	−0.0359128	+	0.0286395i
$370$	6.87320	−	0.725122i	0.357321	−	0.0376973i
$371$	12.3509	−	7.56005i	0.641227	−	0.392498i
$372$	−1.10439	−	0.268597i	−0.0572598	−	0.0139261i
$373$	−0.499602			−0.0258684			−0.0129342	−	0.999916i	$-0.504117\pi$
$373$	−0.499602			−0.0258684			−0.0129342	+	0.999916i	$0.504117\pi$
$374$	5.02776	+	3.20908i	0.259979	+	0.165938i
$375$	−8.86966	−	7.07332i	−0.458027	−	0.365265i
$376$	15.8431	+	5.92479i	0.817043	+	0.305547i
$377$	−4.63212	−	9.61869i	−0.238566	−	0.495388i
$378$	3.33998	+	1.68658i	0.171790	+	0.0867482i
$379$	4.28373	−	8.89526i	0.220041	−	0.456919i	−0.761502	−	0.648163i	$-0.775538\pi$
$379$	4.28373	−	8.89526i	0.220041	−	0.456919i	0.981543	+	0.191244i	$0.0612520\pi$
$380$	5.14693	−	21.1626i	0.264032	−	1.08562i
$381$	−3.85918	+	8.01367i	−0.197712	+	0.410553i
$382$	10.3648	+	10.5128i	0.530307	+	0.537879i
$383$	−31.8187	+	15.3231i	−1.62586	+	0.782974i	−0.625866	+	0.779931i	$0.715254\pi$
$383$	−31.8187	+	15.3231i	−1.62586	+	0.782974i	−0.999995	+	0.00304290i	$0.999031\pi$
$384$	−6.48700	+	9.26924i	−0.331038	+	0.473019i
$385$	−6.00008	−	2.17881i	−0.305792	−	0.111043i
$386$	−21.8663	+	21.5585i	−1.11297	+	1.09730i
$387$	−3.14099	+	0.716910i	−0.159665	+	0.0364426i
$388$	3.32239	+	1.65841i	0.168669	+	0.0841929i
$389$	6.02519	+	26.3981i	0.305489	+	1.33844i	0.861710	+	0.507401i	$0.169394\pi$
$389$	6.02519	+	26.3981i	0.305489	+	1.33844i	−0.556220	+	0.831035i	$0.687749\pi$
$390$	−1.39536	−	2.25605i	−0.0706570	−	0.114240i
$391$	−19.8809			−1.00542
$392$	−19.5557	−	3.09406i	−0.987714	−	0.156273i
$393$	1.71773			0.0866480
$394$	12.4577	+	20.1418i	0.627609	+	1.01473i
$395$	5.41164	+	23.7099i	0.272289	+	1.19298i
$396$	−3.03610	−	1.51550i	−0.152570	−	0.0761569i
$397$	−8.15913	+	1.86227i	−0.409495	+	0.0934646i	−0.422306	−	0.906453i	$-0.638779\pi$
$397$	−8.15913	+	1.86227i	−0.409495	+	0.0934646i	0.0128109	+	0.999918i	$0.495922\pi$
$398$	−22.4731	+	22.1567i	−1.12648	+	1.11062i
$399$	20.1587	−	2.03227i	1.00920	−	0.101741i
$400$	10.5809	+	5.47030i	0.529044	+	0.273515i
$401$	9.54743	−	4.59780i	0.476776	−	0.229603i	−0.180032	−	0.983661i	$-0.557620\pi$
$401$	9.54743	−	4.59780i	0.476776	−	0.229603i	0.656808	+	0.754057i	$0.271906\pi$
$402$	−9.41270	−	9.54710i	−0.469463	−	0.476166i
$403$	−0.325243	+	0.675374i	−0.0162015	+	0.0336428i
$404$	−2.59983	+	10.6897i	−0.129347	+	0.531833i
$405$	−0.616996	+	1.28121i	−0.0306588	+	0.0636637i
$406$	7.29296	−	29.3922i	0.361944	−	1.45871i
$407$	−2.52992	−	5.25344i	−0.125404	−	0.260403i
$408$	−2.46278	+	6.58555i	−0.121926	+	0.326033i
$409$	−27.7882	−	22.1603i	−1.37404	−	1.09576i	−0.984623	−	0.174695i	$-0.944106\pi$
$409$	−27.7882	−	22.1603i	−1.37404	−	1.09576i	−0.389414	−	0.921063i	$-0.627323\pi$
$410$	1.49577	+	0.954713i	0.0738710	+	0.0471499i
$411$	7.33998			0.362054
$412$	−23.1199	−	5.62297i	−1.13904	−	0.277024i
$413$	−25.3794	−	9.21605i	−1.24884	−	0.453492i
$414$	11.2480	−	1.18666i	0.552809	−	0.0583213i
$415$	−2.88986	+	2.30459i	−0.141858	+	0.113128i
$416$	5.08595	+	5.45989i	0.249359	+	0.267693i
$417$	−6.42721	+	3.09518i	−0.314742	+	0.151572i
$418$	−18.2732	+	1.92783i	−0.893774	+	0.0942931i
$419$	12.9174	+	16.1979i	0.631055	+	0.791319i	0.989853	−	0.142097i	$-0.0453845\pi$
$419$	12.9174	+	16.1979i	0.631055	+	0.791319i	−0.358797	+	0.933416i	$0.616813\pi$
$420$	1.03588	−	7.45304i	0.0505456	−	0.363671i
$421$	7.66711	−	9.61425i	0.373672	−	0.468570i	−0.559067	−	0.829123i	$-0.688841\pi$
$421$	7.66711	−	9.61425i	0.373672	−	0.468570i	0.932739	+	0.360553i	$0.117412\pi$
$422$	−0.227834	+	0.356954i	−0.0110908	+	0.0173762i
$423$	−5.98023			−0.290769
$424$	−10.7114	−	11.1769i	−0.520189	−	0.542798i
$425$	7.21677	+	1.64718i	0.350065	+	0.0799000i
$426$	−2.52401	+	21.0585i	−0.122289	+	1.02029i
$427$	0.733906	−	0.716893i	0.0355162	−	0.0346929i
$428$	3.99705	+	0.0566711i	0.193205	+	0.00273930i
$429$	−1.39537	+	1.74974i	−0.0673690	+	0.0844781i
$430$	3.40814	+	5.51035i	0.164355	+	0.265733i
$431$	−15.0667	−	3.43887i	−0.725735	−	0.165644i	−0.156334	−	0.987704i	$-0.549968\pi$
$431$	−15.0667	−	3.43887i	−0.725735	−	0.165644i	−0.569401	+	0.822060i	$0.692825\pi$
$432$	1.00029	−	3.87291i	0.0481263	−	0.186335i
$433$	9.57062	−	2.18443i	0.459935	−	0.104977i	0.0137255	−	0.999906i	$-0.495631\pi$
$433$	9.57062	−	2.18443i	0.459935	−	0.104977i	0.446209	+	0.894929i	$0.352774\pi$
$434$	−1.93279	+	0.886383i	−0.0927769	+	0.0425478i
$435$	11.2208	+	2.56108i	0.537997	+	0.122794i
$436$	−23.2028	+	17.9715i	−1.11121	+	0.860677i
$437$	47.8835	−	38.1858i	2.29058	−	1.82667i
$438$	−3.17546	−	1.13647i	−0.151729	−	0.0543026i
$439$	9.73240	+	4.68688i	0.464502	+	0.223692i	0.651471	−	0.758673i	$-0.274152\pi$
$439$	9.73240	+	4.68688i	0.464502	+	0.223692i	−0.186969	+	0.982366i	$0.559866\pi$
$440$	−0.908091	+	6.76348i	−0.0432915	+	0.322436i
$441$	6.85914	−	1.39719i	0.326626	−	0.0665329i
$442$	3.90879	+	2.49488i	0.185922	+	0.118669i
$443$	1.02917	−	2.13710i	0.0488974	−	0.101536i	−0.875089	−	0.483963i	$-0.839197\pi$
$443$	1.02917	−	2.13710i	0.0488974	−	0.101536i	0.923986	+	0.382426i	$0.124911\pi$
$444$	5.43401	−	4.20885i	0.257887	−	0.199743i
$445$	10.5034	+	13.1709i	0.497910	+	0.624359i
$446$	4.60993	−	12.8808i	0.218287	−	0.609924i
$447$	3.93618	−	17.2455i	0.186175	−	0.815686i
$448$	1.22572	+	21.1305i	0.0579100	+	0.998322i
$449$	−8.71287	−	38.1736i	−0.411186	−	1.80152i	−0.578573	−	0.815631i	$-0.696390\pi$
$449$	−8.71287	−	38.1736i	−0.411186	−	1.80152i	0.167387	−	0.985891i	$-0.446467\pi$
$450$	−4.18135	−	0.501166i	−0.197111	−	0.0236252i
$451$	0.333132	−	1.45955i	0.0156866	−	0.0687273i
$452$	0.205418	−	14.4883i	0.00966204	−	0.681471i
$453$	−9.57613	−	7.63671i	−0.449926	−	0.358804i
$454$	20.4541	+	33.0706i	0.959959	+	1.55208i
$455$	−4.66472	−	1.69390i	−0.218685	−	0.0794114i
$456$	−6.71741	−	20.5918i	−0.314572	−	0.964298i
$457$	−6.14990	+	26.9445i	−0.287680	+	1.26041i	0.600019	+	0.799986i	$0.295160\pi$
$457$	−6.14990	+	26.9445i	−0.287680	+	1.26041i	−0.887699	+	0.460423i	$0.847698\pi$
$458$	5.17270	+	15.1258i	0.241705	+	0.706784i
$459$		−	2.48583i		−	0.116029i
$460$	−9.57755	−	20.6312i	−0.446556	−	0.961934i
$461$	24.1769	+	19.2804i	1.12603	+	0.897978i	0.995621	−	0.0934821i	$-0.0297998\pi$
$461$	24.1769	+	19.2804i	1.12603	+	0.897978i	0.130408	+	0.991460i	$0.458371\pi$
$462$	−6.21465	+	1.29595i	−0.289132	+	0.0602931i
$463$	−31.3237	+	24.9799i	−1.45574	+	1.16091i	−0.500251	+	0.865881i	$0.666759\pi$
$463$	−31.3237	+	24.9799i	−1.45574	+	1.16091i	−0.955487	+	0.295032i	$0.904670\pi$
$464$	−32.3614	−	0.917839i	−1.50234	−	0.0426096i
$465$	−0.350633	−	0.728097i	−0.0162602	−	0.0337647i
$466$	−10.6658	−	1.27837i	−0.494083	−	0.0592196i
$467$	6.83058	+	8.56528i	0.316082	+	0.396354i	0.914339	−	0.404951i	$-0.132711\pi$
$467$	6.83058	+	8.56528i	0.316082	+	0.396354i	−0.598257	+	0.801304i	$0.704140\pi$
$468$	−2.36039	−	1.17822i	−0.109109	−	0.0544631i
$469$	−24.8897	−	3.10035i	−1.14930	−	0.143161i
$470$	3.89156	+	11.3796i	0.179504	+	0.524900i
$471$			8.63322i			0.397798i
$472$	−3.84109	+	28.6085i	−0.176800	+	1.31681i
$473$	3.40815	−	4.27369i	0.156707	−	0.196504i
$474$	16.9804	+	17.2229i	0.779936	+	0.791072i
$475$	−20.5455	+	9.89421i	−0.942694	+	0.453978i
$476$	4.02140	+	12.5240i	0.184320	+	0.574036i
$477$	4.93127	+	2.37478i	0.225787	+	0.108734i
$478$	6.23775	+	18.2402i	0.285308	+	0.834287i
$479$	19.4023	+	9.34365i	0.886513	+	0.426922i	0.820999	−	0.570929i	$-0.193417\pi$
$479$	19.4023	+	9.34365i	0.886513	+	0.426922i	0.0655140	+	0.997852i	$0.479131\pi$
$480$	−8.02054	+	0.616841i	−0.366086	+	0.0281548i
$481$	−1.96687	−	4.08425i	−0.0896815	−	0.186226i
$482$	22.8938	+	8.19349i	1.04278	+	0.373203i
$483$	15.1367	−	14.7858i	0.688743	−	0.672778i
$484$	−15.8851	+	3.38947i	−0.722049	+	0.154067i
$485$	0.587503	+	2.57402i	0.0266771	+	0.116880i
$486$	0.148376	+	1.40641i	0.00673047	+	0.0637960i
$487$	21.3137	−	4.86470i	0.965814	−	0.220441i	0.289601	−	0.957147i	$-0.406477\pi$
$487$	21.3137	−	4.86470i	0.965814	−	0.220441i	0.676212	+	0.736707i	$0.263620\pi$
$488$	−0.916049	−	0.603136i	−0.0414676	−	0.0273027i
$489$		−	9.35450i		−	0.423025i
$490$	−7.12217	−	12.1428i	−0.321747	−	0.548556i
$491$			12.1999i			0.550572i	0.961362	+	0.275286i	$0.0887725\pi$
$491$			12.1999i			0.550572i	−0.961362	+	0.275286i	$0.911228\pi$
$492$	1.76456	+	0.0250183i	0.0795524	+	0.00112791i
$493$	−19.6149	+	4.47697i	−0.883411	+	0.201633i
$494$	−14.2064	+	1.49877i	−0.639176	+	0.0674330i
$495$	−0.536878	−	2.35222i	−0.0241309	−	0.105724i
$496$	1.36634	+	1.81670i	0.0613504	+	0.0815721i
$497$	20.7150	+	33.8422i	0.929195	+	1.51803i
$498$	−1.23866	+	3.46098i	−0.0555055	+	0.155090i
$499$	9.56253	+	19.8568i	0.428078	+	0.888913i	0.997750	+	0.0670407i	$0.0213558\pi$
$499$	9.56253	+	19.8568i	0.428078	+	0.888913i	−0.569673	+	0.821872i	$0.692930\pi$
$500$	4.73477	+	22.1899i	0.211745	+	0.992364i
$501$	7.77071	+	3.74217i	0.347170	+	0.167188i
$502$	3.60101	−	1.23147i	0.160721	−	0.0549630i
$503$	−4.16353	−	2.00505i	−0.185643	−	0.0894008i	0.338754	−	0.940875i	$-0.389995\pi$
$503$	−4.16353	−	2.00505i	−0.185643	−	0.0894008i	−0.524396	+	0.851474i	$0.675709\pi$
$504$	−3.02273	−	6.84566i	−0.134643	−	0.304930i
$505$	−7.04749	+	3.39389i	−0.313609	+	0.151026i
$506$	−13.6652	+	13.4728i	−0.607493	+	0.598941i
$507$	7.02055	−	8.80349i	0.311793	−	0.390977i
$508$	16.1352	−	7.49037i	0.715882	−	0.332332i
$509$			9.07885i			0.402413i	0.979549	+	0.201206i	$0.0644862\pi$
$509$			9.07885i			0.402413i	−0.979549	+	0.201206i	$0.935514\pi$
$510$	−4.73019	+	1.61762i	−0.209456	+	0.0716295i
$511$	−5.97969	+	2.01400i	−0.264526	+	0.0890941i
$512$	21.7907	−	6.09651i	0.963020	−	0.269430i
$513$	4.77461	+	5.98717i	0.210804	+	0.264340i
$514$	−3.17656	+	26.5028i	−0.140112	+	1.16899i
$515$	−7.34037	−	15.2424i	−0.323455	−	0.671662i
$516$	5.76520	+	2.87776i	0.253799	+	0.126686i
$517$	7.93281	−	6.32620i	0.348884	−	0.278226i
$518$	3.09671	−	12.4804i	0.136061	−	0.548357i
$519$	15.7125	+	12.5303i	0.689700	+	0.550018i
$520$	−0.705989	+	5.25822i	−0.0309596	+	0.230588i
$521$			41.3292i			1.81067i	0.424701	+	0.905334i	$0.360379\pi$
$521$			41.3292i			1.81067i	−0.424701	+	0.905334i	$0.639621\pi$
$522$	10.8303	−	3.70373i	0.474030	−	0.162108i
$523$	2.77781	−	12.1704i	0.121465	−	0.532174i	−0.877181	−	0.480160i	$-0.840579\pi$
$523$	2.77781	−	12.1704i	0.121465	−	0.532174i	0.998646	−	0.0520144i	$-0.0165642\pi$
$524$	−2.65531	−	2.17984i	−0.115998	−	0.0952266i
$525$	−6.71968	+	4.11315i	−0.293271	+	0.179513i
$526$	−12.7101	+	7.86119i	−0.554188	+	0.342764i
$527$	1.10447	+	0.880787i	0.0481116	+	0.0383677i
$528$	2.77008	+	6.19559i	0.120552	+	0.269628i
$529$	9.11508	−	39.9358i	0.396308	−	1.73634i
$530$	1.30991	−	10.9289i	0.0568988	−	0.474721i
$531$	−2.27091	−	9.94952i	−0.0985492	−	0.431772i
$532$	−33.7408	−	22.4403i	−1.46285	−	0.972908i
$533$	0.258991	−	1.13471i	0.0112181	−	0.0491499i
$534$	15.7738	+	5.64530i	0.682598	+	0.244296i
$535$	1.77212	+	2.22216i	0.0766153	+	0.0960725i
$536$	2.43493	+	26.7031i	0.105173	+	1.15340i
$537$	−0.810909	+	1.68387i	−0.0349933	+	0.0726643i
$538$	−10.5967	+	16.6021i	−0.456856	+	0.715769i
$539$	−7.62066	+	9.10934i	−0.328245	+	0.392367i
$540$	2.57965	−	1.19754i	0.111010	−	0.0515340i
$541$	9.32883	+	4.49253i	0.401078	+	0.193149i	0.623538	−	0.781793i	$-0.285695\pi$
$541$	9.32883	+	4.49253i	0.401078	+	0.193149i	−0.222461	+	0.974942i	$0.571409\pi$
$542$	15.4982	−	43.3042i	0.665706	−	1.86008i
$543$	17.9834	−	14.3413i	0.771741	−	0.615443i
$544$	12.1642	−	7.05480i	0.521538	−	0.302472i
$545$	−20.3442	−	4.64343i	−0.871449	−	0.198903i
$546$	−4.83153	+	1.00753i	−0.206770	+	0.0431182i
$547$	−2.91929	+	0.666309i	−0.124820	+	0.0284893i	−0.284474	−	0.958684i	$-0.591819\pi$
$547$	−2.91929	+	0.666309i	−0.124820	+	0.0284893i	0.159655	+	0.987173i	$0.448962\pi$
$548$	−11.3463	−	9.31459i	−0.484692	−	0.397900i
$549$	0.378047	+	0.0862867i	0.0161346	+	0.00368263i
$550$	6.07675	−	3.75846i	0.259113	−	0.160261i
$551$	38.6438	−	48.4578i	1.64628	−	2.06437i
$552$	−18.8934	−	12.4396i	−0.804155	−	0.529464i
$553$	44.9008	+	5.59300i	1.90938	+	0.237839i
$554$	−31.4732	−	3.77229i	−1.33717	−	0.160269i
$555$	4.76453	+	1.08747i	0.202243	+	0.0461606i
$556$	13.8632	+	3.37166i	0.587931	+	0.142990i
$557$	4.40297			0.186560			0.0932799	−	0.995640i	$-0.470265\pi$
$557$	4.40297			0.186560			0.0932799	+	0.995640i	$0.470265\pi$
$558$	−0.677451	−	0.432399i	−0.0286788	−	0.0183049i
$559$	2.64964	−	3.32255i	0.112068	−	0.140529i
$560$	−11.0594	+	10.2066i	−0.467343	+	0.431306i
$561$	2.62964	+	3.29746i	0.111023	+	0.139219i
$562$	1.31036	+	12.4205i	0.0552742	+	0.523926i
$563$	25.8010	−	12.4251i	1.08738	−	0.523656i	0.197714	−	0.980260i	$-0.436648\pi$
$563$	25.8010	−	12.4251i	1.08738	−	0.523656i	0.889670	+	0.456603i	$0.150934\pi$
$564$	9.24441	+	7.58905i	0.389260	+	0.319556i
$565$	8.05476	−	6.42345i	0.338866	−	0.270237i
$566$	−1.91692	−	18.1698i	−0.0805740	−	0.763736i
$567$	1.84876	+	1.89264i	0.0776408	+	0.0794832i
$568$	30.6254	−	29.3497i	1.28501	−	1.23149i
$569$	−11.6071			−0.486596			−0.243298	−	0.969952i	$-0.578229\pi$
$569$	−11.6071			−0.486596			−0.243298	+	0.969952i	$0.578229\pi$
$570$	8.28575	−	12.9815i	0.347052	−	0.543736i
$571$	26.5225	+	21.1510i	1.10993	+	0.885141i	0.994137	−	0.108132i	$-0.0344868\pi$
$571$	26.5225	+	21.1510i	1.10993	+	0.885141i	0.115796	+	0.993273i	$0.463058\pi$
$572$	4.37746	−	0.934038i	0.183031	−	0.0390541i
$573$	4.52932	+	9.40523i	0.189215	+	0.392909i
$574$	2.61950	−	2.00954i	0.109336	−	0.0838764i
$575$	−10.3332	+	21.4572i	−0.430926	+	0.894827i
$576$	−6.46108	+	4.71747i	−0.269212	+	0.196561i
$577$	7.65840	−	15.9028i	0.318823	−	0.662044i	−0.678544	−	0.734560i	$-0.737389\pi$
$577$	7.65840	−	15.9028i	0.318823	−	0.662044i	0.997367	+	0.0725163i	$0.0231029\pi$
$578$	−10.8971	+	10.7437i	−0.453259	+	0.446878i
$579$	−19.5627	+	9.42089i	−0.812997	+	0.391519i
$580$	−14.0954	−	18.1984i	−0.585279	−	0.755649i
$581$	2.19509	+	6.51735i	0.0910676	+	0.270385i
$582$	1.84344	+	1.86976i	0.0764131	+	0.0775042i
$583$	−9.05352	+	2.06641i	−0.374958	+	0.0855818i
$584$	3.46651	+	5.78651i	0.143445	+	0.239448i
$585$	−0.417392	−	1.82871i	−0.0172570	−	0.0756080i
$586$	−24.4816	+	15.1418i	−1.01133	+	0.625503i
$587$	25.9925			1.07282			0.536412	−	0.843956i	$-0.319779\pi$
$587$	25.9925			1.07282			0.536412	+	0.843956i	$0.319779\pi$
$588$	−12.3761	−	6.54459i	−0.510383	−	0.269894i
$589$	−4.35190			−0.179317
$590$	−17.4548	+	10.7958i	−0.718603	+	0.444455i
$591$	3.72643	+	16.3266i	0.153285	+	0.671586i
$592$	−13.7412	−	0.389729i	−0.564758	−	0.0160178i
$593$	−26.4267	+	6.03173i	−1.08522	+	0.247694i	−0.727480	−	0.686129i	$-0.759309\pi$
$593$	−26.4267	+	6.03173i	−1.08522	+	0.247694i	−0.357737	+	0.933823i	$0.616451\pi$
$594$	−1.68459	−	1.70865i	−0.0691197	−	0.0701067i
$595$	−5.06836	+	7.86014i	−0.207783	+	0.322234i
$596$	−27.9696	+	21.6635i	−1.14568	+	0.887373i
$597$	−20.1056	+	9.68233i	−0.822866	+	0.396271i
$598$	−10.6239	+	10.4744i	−0.434444	+	0.428328i
$599$	11.1590	−	23.1720i	0.455946	−	0.946781i	−0.538608	−	0.842556i	$-0.681050\pi$
$599$	11.1590	−	23.1720i	0.455946	−	0.946781i	0.994554	−	0.104224i	$-0.0332360\pi$
$600$	5.82766	+	6.08095i	0.237913	+	0.248254i
$601$	15.9723	−	33.1669i	0.651526	−	1.35291i	−0.269347	−	0.963043i	$-0.586808\pi$
$601$	15.9723	−	33.1669i	0.651526	−	1.35291i	0.920873	−	0.389864i	$-0.127478\pi$
$602$	11.8009	−	2.46086i	0.480968	−	0.100297i
$603$	−4.11328	−	8.54131i	−0.167506	−	0.347829i
$604$	5.11189	+	23.9573i	0.208000	+	0.974811i
$605$	−9.02921	−	7.20056i	−0.367090	−	0.292744i
$606$	−4.18533	+	6.55726i	−0.170017	+	0.266371i
$607$	−40.4498			−1.64181			−0.820904	−	0.571066i	$-0.806530\pi$
$607$	−40.4498			−1.64181			−0.820904	+	0.571066i	$0.806530\pi$
$608$	−15.7475	+	40.3559i	−0.638644	+	1.63665i
$609$	11.6046	−	17.9967i	0.470241	−	0.729261i
$610$	−0.0818175	−	0.775522i	−0.00331269	−	0.0313999i
$611$	6.16730	−	4.91826i	0.249502	−	0.198971i
$612$	−3.15457	+	3.84266i	−0.127516	+	0.155330i
$613$	−26.7823	+	12.8977i	−1.08173	+	0.520932i	−0.887869	−	0.460097i	$-0.847815\pi$
$613$	−26.7823	+	12.8977i	−1.08173	+	0.520932i	−0.193859	+	0.981029i	$0.562100\pi$
$614$	−0.930469	−	8.81962i	−0.0375507	−	0.355931i
$615$	0.782326	+	0.981006i	0.0315464	+	0.0395580i
$616$	11.2514	+	5.88321i	0.453330	+	0.237041i
$617$	−18.3080	+	22.9574i	−0.737050	+	0.924232i	−0.999167	−	0.0408041i	$-0.987008\pi$
$617$	−18.3080	+	22.9574i	−0.737050	+	0.924232i	0.262117	+	0.965036i	$0.415579\pi$
$618$	−14.1822	−	9.05210i	−0.570490	−	0.364129i
$619$	42.9810			1.72755			0.863777	−	0.503875i	$-0.168093\pi$
$619$	42.9810			1.72755			0.863777	+	0.503875i	$0.168093\pi$
$620$	−0.381953	+	1.57047i	−0.0153396	+	0.0630718i
$621$	7.79716	+	1.77965i	0.312889	+	0.0714149i
$622$	26.9073	+	3.22504i	1.07889	+	0.129312i
$623$	29.7035	−	10.0044i	1.19005	−	0.400816i
$624$	2.15358	+	4.81671i	0.0862122	+	0.192823i
$625$	−0.775262	+	0.972148i	−0.0310105	+	0.0388859i
$626$	25.2733	−	15.6315i	1.01013	−	0.624761i
$627$	−12.6671	−	2.89118i	−0.505875	−	0.115463i
$628$	10.9557	−	13.3455i	0.437182	−	0.532542i
$629$	−8.32879	+	1.90099i	−0.332091	+	0.0757975i
$630$	2.39837	−	4.74956i	0.0955532	−	0.189227i
$631$	−14.1708	−	3.23440i	−0.564132	−	0.128759i	−0.0690617	−	0.997612i	$-0.522001\pi$
$631$	−14.1708	−	3.23440i	−0.564132	−	0.128759i	−0.495070	+	0.868853i	$0.664858\pi$
$632$	−4.39259	−	48.1721i	−0.174728	−	1.91618i
$633$	−0.234109	+	0.186696i	−0.00930500	+	0.00742049i
$634$	−2.20658	+	6.16549i	−0.0876343	+	0.244863i
$635$	11.3957	+	5.48788i	0.452224	+	0.217780i
$636$	−4.60926	−	9.92889i	−0.182769	−	0.393706i
$637$	−5.92463	+	7.08199i	−0.234742	+	0.280599i
$638$	−10.4485	+	16.3699i	−0.413658	+	0.648090i
$639$	−6.50703	+	13.5120i	−0.257414	+	0.534526i
$640$	13.1812	+	9.22471i	0.521031	+	0.364639i
$641$	4.12633	+	5.17426i	0.162980	+	0.204371i	0.856615	−	0.515956i	$-0.172563\pi$
$641$	4.12633	+	5.17426i	0.162980	+	0.204371i	−0.693635	+	0.720327i	$0.743992\pi$
$642$	2.66132	+	0.952465i	0.105034	+	0.0375908i
$643$	−8.83827	+	38.7230i	−0.348547	+	1.52709i	0.431934	+	0.901905i	$0.357831\pi$
$643$	−8.83827	+	38.7230i	−0.348547	+	1.52709i	−0.780481	+	0.625180i	$0.785026\pi$
$644$	−42.1622	+	3.64753i	−1.66142	+	0.143733i
$645$	1.01947	+	4.46658i	0.0401415	+	0.175872i
$646$	−3.20378	+	26.7299i	−0.126051	+	1.05167i
$647$	−1.24669	+	5.46209i	−0.0490123	+	0.214737i	−0.993504	−	0.113799i	$-0.963698\pi$
$647$	−1.24669	+	5.46209i	−0.0490123	+	0.214737i	0.944492	+	0.328536i	$0.106555\pi$
$648$	1.55540	−	2.36236i	0.0611019	−	0.0928022i
$649$	13.5375	+	10.7958i	0.531393	+	0.423772i
$650$	4.72432	−	2.92198i	0.185303	−	0.114610i
$651$	−1.49597	+	0.150815i	−0.0586318	+	0.00591089i
$652$	−11.8711	+	14.4604i	−0.464907	+	0.566315i
$653$	−3.08923	+	13.5348i	−0.120891	+	0.529658i	0.877824	+	0.478983i	$0.158995\pi$
$653$	−3.08923	+	13.5348i	−0.120891	+	0.529658i	−0.998715	+	0.0506753i	$0.983863\pi$
$654$	−19.6362	+	6.71514i	−0.767835	+	0.262583i
$655$		−	2.44266i		−	0.0954428i
$656$	−2.69595	−	2.27794i	−0.105259	−	0.0889384i
$657$	−1.86456	−	1.48693i	−0.0727433	−	0.0580108i
$658$	22.3720	+	0.420959i	0.872152	+	0.0164107i
$659$	−27.5847	+	21.9981i	−1.07455	+	0.856923i	−0.990220	−	0.139515i	$-0.955446\pi$
$659$	−27.5847	+	21.9981i	−1.07455	+	0.856923i	−0.0843273	+	0.996438i	$0.526874\pi$
$660$	−2.15509	+	4.31743i	−0.0838869	+	0.168056i
$661$	−14.1894	−	29.4646i	−0.551904	−	1.14604i	−0.971217	−	0.238198i	$-0.923443\pi$
$661$	−14.1894	−	29.4646i	−0.551904	−	1.14604i	0.419313	−	0.907842i	$-0.362271\pi$
$662$	−2.26346	+	18.8846i	−0.0879718	+	0.733970i
$663$	2.04439	+	2.56359i	0.0793977	+	0.0995616i
$664$	6.30680	−	3.77820i	0.244751	−	0.146622i
$665$	−2.88995	−	28.6663i	−0.112068	−	1.11163i
$666$	4.59871	−	1.57266i	0.178197	−	0.0609393i
$667$		−	64.7301i		−	2.50636i
$668$	−7.26327	−	15.6460i	−0.281024	−	0.605360i
$669$	6.03154	−	7.56332i	0.233193	−	0.292415i
$670$	−13.5763	+	13.3852i	−0.524497	+	0.517114i
$671$	−0.592760	+	0.285458i	−0.0228832	+	0.0110200i
$672$	−4.01468	+	14.4181i	−0.154870	+	0.556191i
$673$	5.59689	+	2.69532i	0.215744	+	0.103897i	0.538635	−	0.842539i	$-0.318940\pi$
$673$	5.59689	+	2.69532i	0.215744	+	0.103897i	−0.322891	+	0.946436i	$0.604655\pi$
$674$	22.4502	−	7.67749i	0.864751	−	0.295726i
$675$	−2.68293	−	1.29203i	−0.103266	−	0.0497303i
$676$	−22.0244	+	4.69945i	−0.847091	+	0.180748i
$677$	2.55976	+	5.31541i	0.0983798	+	0.204288i	0.944350	−	0.328943i	$-0.106692\pi$
$677$	2.55976	+	5.31541i	0.0983798	+	0.204288i	−0.845970	+	0.533230i	$0.820978\pi$
$678$	3.45243	−	9.64659i	0.132590	−	0.370475i
$679$	4.87456	+	0.607192i	0.187068	+	0.0233019i
$680$	9.36486	+	3.50215i	0.359126	+	0.134301i
$681$	6.11839	+	26.8064i	0.234457	+	1.02722i
$682$	1.35606	−	0.143064i	0.0519261	−	0.00547819i
$683$	−13.1159	+	2.99362i	−0.501866	+	0.114548i	−0.465957	−	0.884808i	$-0.654290\pi$
$683$	−13.1159	+	2.99362i	−0.501866	+	0.114548i	−0.0359089	+	0.999355i	$0.511433\pi$
$684$	0.217128	−	15.3142i	0.00830211	−	0.585554i
$685$		−	10.4377i		−	0.398803i
$686$	−25.7584	+	4.74406i	−0.983459	+	0.181129i
$687$			11.3037i			0.431263i
$688$	−5.26006	−	11.7647i	−0.200538	−	0.448525i
$689$	−7.03859	+	1.60651i	−0.268149	+	0.0612033i
$690$	−1.68747	−	15.9950i	−0.0642410	−	0.608920i
$691$	7.60625	+	33.3252i	0.289356	+	1.26775i	0.885412	+	0.464807i	$0.153876\pi$
$691$	7.60625	+	33.3252i	0.289356	+	1.26775i	−0.596056	+	0.802943i	$0.703267\pi$
$692$	−8.38757	−	39.3091i	−0.318848	−	1.49431i
$693$	−4.45452	−	0.554871i	−0.169213	−	0.0210778i
$694$	9.53689	+	3.41317i	0.362016	+	0.129562i
$695$	4.40145	+	9.13970i	0.166956	+	0.346689i
$696$	−21.4419	−	8.01857i	−0.812753	−	0.303943i
$697$	−1.97620	−	0.951687i	−0.0748538	−	0.0360477i
$698$	−1.87905	−	5.49466i	−0.0711232	−	0.207976i
$699$	−6.84361	−	3.29571i	−0.258849	−	0.124655i
$700$	15.6071	+	2.16919i	0.589895	+	0.0819878i
$701$	30.5934	−	14.7330i	1.15550	−	0.556458i	0.244817	−	0.969569i	$-0.421272\pi$
$701$	30.5934	−	14.7330i	1.15550	−	0.556458i	0.910681	+	0.413111i	$0.135558\pi$
$702$	−1.30968	−	1.32838i	−0.0494305	−	0.0501363i
$703$	16.4088	−	20.5759i	0.618869	−	0.776037i
$704$	3.58027	−	13.0926i	0.134936	−	0.493446i
$705$			8.50408i			0.320282i
$706$	4.89814	+	14.3230i	0.184344	+	0.539052i
$707$	1.45978	+	14.4800i	0.0549008	+	0.544576i
$708$	−9.11572	+	18.2621i	−0.342590	+	0.686331i
$709$	−19.4725	−	24.4178i	−0.731306	−	0.917029i	0.267612	−	0.963527i	$-0.413765\pi$
$709$	−19.4725	−	24.4178i	−0.731306	−	0.917029i	−0.998918	+	0.0464979i	$0.985194\pi$
$710$	29.9458	+	3.58923i	1.12385	+	0.134701i
$711$	7.42030	+	15.4084i	0.278283	+	0.577861i
$712$	−17.2195	−	28.7439i	−0.645329	−	1.07722i
$713$	−3.55343	+	2.83376i	−0.133077	+	0.106125i
$714$	−0.174982	+	9.29948i	−0.00654854	+	0.348024i
$715$	2.48818	+	1.98426i	0.0930527	+	0.0742071i
$716$	3.39039	−	1.57391i	0.126705	−	0.0588198i
$717$			13.6311i			0.509063i
$718$	−5.65673	−	16.5412i	−0.211107	−	0.617312i
$719$	3.92315	−	17.1885i	0.146309	−	0.641021i	−0.847583	−	0.530663i	$-0.821943\pi$
$719$	3.92315	−	17.1885i	0.146309	−	0.641021i	0.993892	−	0.110358i	$-0.0351998\pi$
$720$	−5.50740	−	1.42244i	−0.205249	−	0.0530111i
$721$	−31.3176	+	3.15724i	−1.16633	+	0.117582i
$722$	−29.4905	−	47.6809i	−1.09752	−	1.77450i
$723$	13.4427	+	10.7202i	0.499940	+	0.398689i
$724$	−45.9986	−	0.652178i	−1.70952	−	0.0242380i
$725$	−5.36306	+	23.4971i	−0.199179	+	0.872660i
$726$	−11.4037	−	1.36682i	−0.423230	−	0.0507273i
$727$	−9.14201	−	40.0538i	−0.339058	−	1.48551i	−0.801034	−	0.598619i	$-0.795716\pi$
$727$	−9.14201	−	40.0538i	−0.339058	−	1.48551i	0.461976	−	0.886893i	$-0.347141\pi$
$728$	8.74729	+	4.57386i	0.324196	+	0.169518i
$729$	−0.222521	+	0.974928i	−0.00824152	+	0.0361084i
$730$	−1.61610	+	4.51560i	−0.0598144	+	0.167130i
$731$	−4.99338	−	6.26150i	−0.184687	−	0.231590i
$732$	−0.474896	−	0.613134i	−0.0175526	−	0.0226621i
$733$	14.0440	−	29.1626i	0.518726	−	1.07715i	−0.462914	−	0.886403i	$-0.653196\pi$
$733$	14.0440	−	29.1626i	0.518726	−	1.07715i	0.981640	−	0.190743i	$-0.0610897\pi$
$734$	−6.85915	−	4.37801i	−0.253176	−	0.161595i
$735$	−1.98685	−	9.75392i	−0.0732861	−	0.359779i
$736$	13.4198	+	43.2055i	0.494660	+	1.59258i
$737$	14.4917	+	6.97885i	0.533810	+	0.257069i
$738$	1.17488	+	0.420479i	0.0432479	+	0.0154781i
$739$	13.5331	−	10.7923i	0.497821	−	0.396999i	−0.342137	−	0.939650i	$-0.611151\pi$
$739$	13.5331	−	10.7923i	0.497821	−	0.396999i	0.839958	+	0.542651i	$0.182579\pi$
$740$	−5.98511	−	7.72734i	−0.220017	−	0.284063i
$741$	−9.84793	−	2.24773i	−0.361773	−	0.0825723i
$742$	−18.2807	−	9.23115i	−0.671106	−	0.338886i
$743$	37.9342	−	8.65823i	1.39167	−	0.317640i	0.539977	−	0.841680i	$-0.318433\pi$
$743$	37.9342	−	8.65823i	1.39167	−	0.317640i	0.851694	+	0.524040i	$0.175576\pi$
$744$	0.498499	+	1.52811i	0.0182758	+	0.0560234i
$745$	−24.5237	−	5.59738i	−0.898479	−	0.205072i
$746$	0.371654	+	0.600897i	0.0136072	+	0.0220004i
$747$	−1.62063	+	2.03221i	−0.0592958	+	0.0743546i
$748$	0.119584	−	8.43438i	0.00437244	−	0.308392i
$749$	5.01152	−	1.68792i	0.183117	−	0.0616751i
$750$	−1.90931	+	15.9298i	−0.0697181	+	0.581676i
$751$	−6.75387	−	1.54153i	−0.246452	−	0.0562511i	0.0975102	−	0.995235i	$-0.468912\pi$
$751$	−6.75387	−	1.54153i	−0.246452	−	0.0562511i	−0.343962	+	0.938983i	$0.611769\pi$
$752$	−4.65959	−	23.4627i	−0.169918	−	0.855597i
$753$	2.69108			0.0980682
$754$	−8.12307	+	12.7266i	−0.295825	+	0.463477i
$755$	−10.8596	+	13.6176i	−0.395223	+	0.495594i
$756$	−0.456074	−	5.27181i	−0.0165873	−	0.191734i
$757$	−9.68453	−	12.1440i	−0.351990	−	0.441382i	0.574042	−	0.818826i	$-0.305375\pi$
$757$	−9.68453	−	12.1440i	−0.351990	−	0.441382i	−0.926032	+	0.377444i	$0.876803\pi$
$758$	−13.8855	+	1.46492i	−0.504343	+	0.0532081i
$759$	−12.2256	+	5.88753i	−0.443760	+	0.213704i
$760$	−29.2822	+	9.55237i	−1.06218	+	0.346501i
$761$	4.90525	−	3.91180i	0.177815	−	0.141803i	−0.530538	−	0.847661i	$-0.678010\pi$
$761$	4.90525	−	3.91180i	0.177815	−	0.141803i	0.708353	+	0.705858i	$0.249439\pi$
$762$	12.5093	−	1.31973i	0.453164	−	0.0478088i
$763$	−21.0400	+	32.6293i	−0.761699	+	1.18126i
$764$	4.93390	−	20.2867i	0.178502	−	0.733946i
$765$	−3.53493			−0.127806
$766$	42.0998	+	26.8712i	1.52113	+	0.970896i
$767$	10.5246	+	8.39311i	0.380022	+	0.303058i
$768$	15.9743	+	0.906859i	0.576422	+	0.0327234i
$769$	−5.55559	−	11.5363i	−0.200340	−	0.416010i	0.776459	−	0.630167i	$-0.217014\pi$
$769$	−5.55559	−	11.5363i	−0.200340	−	0.416010i	−0.976799	+	0.214158i	$0.931299\pi$
$770$	1.84288	+	8.83743i	0.0664129	+	0.318479i
$771$	−8.18931	+	17.0053i	−0.294931	+	0.612430i
$772$	42.1958	+	10.2624i	1.51866	+	0.369352i
$773$	1.61731	−	3.35837i	0.0581704	−	0.120792i	−0.869857	−	0.493304i	$-0.835789\pi$
$773$	1.61731	−	3.35837i	0.0581704	−	0.120792i	0.928027	+	0.372512i	$0.121503\pi$
$774$	3.19885	+	3.24452i	0.114980	+	0.116622i
$775$	1.52468	−	0.734248i	0.0547682	−	0.0263750i
$776$	−0.476872	−	5.22970i	−0.0171187	−	0.187735i
$777$	4.92748	−	7.64166i	0.176772	−	0.274143i
$778$	27.2682	−	26.8843i	0.977613	−	0.963851i
$779$	6.58765	−	1.50359i	0.236027	−	0.0538716i
$780$	−1.67546	+	3.35656i	−0.0599912	+	0.120184i
$781$	−5.66208	−	24.8072i	−0.202605	−	0.887671i
$782$	14.7894	+	23.9117i	0.528867	+	0.855082i
$783$	8.09361			0.289242
$784$	10.8261	+	25.8224i	0.386647	+	0.922228i
$785$	12.2767			0.438174
$786$	−1.27782	−	2.06600i	−0.0455783	−	0.0736919i
$787$	4.56815	+	20.0144i	0.162837	+	0.713436i	0.988742	+	0.149627i	$0.0478073\pi$
$787$	4.56815	+	20.0144i	0.162837	+	0.713436i	−0.825905	+	0.563809i	$0.809336\pi$
$788$	14.9584	−	29.9670i	0.532869	−	1.06753i
$789$	−10.3026	+	2.35150i	−0.366782	+	0.0837155i
$790$	24.4914	−	24.1467i	0.871367	−	0.859100i
$791$	−6.11825	−	18.1654i	−0.217540	−	0.645889i
$792$	0.435780	+	4.77906i	0.0154848	+	0.169817i
$793$	−0.460837	+	0.221927i	−0.0163648	+	0.00788087i
$794$	8.30942	+	8.42807i	0.294890	+	0.299101i
$795$	3.37701	−	7.01243i	0.119770	−	0.248705i
$796$	43.3668	+	10.5472i	1.53710	+	0.373835i
$797$	19.8165	−	41.1494i	0.701937	−	1.45759i	−0.178754	−	0.983894i	$-0.557206\pi$
$797$	19.8165	−	41.1494i	0.701937	−	1.45759i	0.880690	−	0.473693i	$-0.157079\pi$
$798$	−17.4403	−	22.7341i	−0.617382	−	0.804778i
$799$	−6.45004	−	13.3937i	−0.228186	−	0.473833i
$800$	−1.29170	−	16.7955i	−0.0456687	−	0.593812i
$801$	9.26201	+	7.38620i	0.327257	+	0.260979i
$802$	−12.6323	−	8.06289i	−0.446064	−	0.284711i
$803$	4.04630			0.142791
$804$	−4.48069	+	18.4232i	−0.158022	+	0.649737i
$805$	−21.0259	−	21.5248i	−0.741066	−	0.758651i
$806$	1.05426	−	0.111224i	0.0371346	−	0.00391769i
$807$	−10.8885	+	8.68332i	−0.383295	+	0.305667i
$808$	14.7911	−	4.82513i	0.520349	−	0.169747i
$809$	−40.8357	+	19.6655i	−1.43571	+	0.691401i	−0.980049	−	0.198754i	$-0.936310\pi$
$809$	−40.8357	+	19.6655i	−1.43571	+	0.691401i	−0.455659	+	0.890155i	$0.650596\pi$
$810$	1.99996	−	0.210995i	0.0702713	−	0.00741362i
$811$	−19.1828	−	24.0545i	−0.673599	−	0.844666i	0.321148	−	0.947029i	$-0.395931\pi$
$811$	−19.1828	−	24.0545i	−0.673599	−	0.844666i	−0.994747	+	0.102363i	$0.967360\pi$
$812$	−40.7768	+	13.0933i	−1.43099	+	0.459483i
$813$	20.2776	−	25.4273i	0.711165	−	0.891773i
$814$	−4.43658	+	6.95090i	−0.155502	+	0.243629i
$815$	−13.3024			−0.465963
$816$	9.75285	−	1.93687i	0.341418	−	0.0678042i
$817$	24.0533	+	5.49001i	0.841519	+	0.192071i
$818$	−5.98177	+	49.9074i	−0.209148	+	1.74497i
$819$	−3.46314	−	0.431381i	−0.121012	−	0.0150737i
$820$	0.0355768	−	2.50926i	0.00124239	−	0.0876270i
$821$	11.3893	−	14.2817i	0.397489	−	0.498435i	−0.542303	−	0.840183i	$-0.682447\pi$
$821$	11.3893	−	14.2817i	0.397489	−	0.498435i	0.939792	+	0.341748i	$0.111019\pi$
$822$	−5.46021	−	8.82817i	−0.190447	−	0.307918i
$823$	22.3127	+	5.09272i	0.777771	+	0.177521i	0.592937	−	0.805249i	$-0.297968\pi$
$823$	22.3127	+	5.09272i	0.777771	+	0.177521i	0.184834	+	0.982770i	$0.440825\pi$
$824$	10.4359	+	31.9905i	0.363551	+	1.11444i
$825$	4.92569	−	1.12426i	0.171491	−	0.0391416i
$826$	7.79511	+	37.3810i	0.271227	+	1.30065i
$827$	−9.69254	−	2.21226i	−0.337043	−	0.0769278i	0.0506501	−	0.998716i	$-0.483871\pi$
$827$	−9.69254	−	2.21226i	−0.337043	−	0.0769278i	−0.387693	+	0.921789i	$0.626728\pi$
$828$	−9.79465	−	12.6458i	−0.340387	−	0.439472i
$829$	2.28954	−	1.82584i	0.0795189	−	0.0634142i	−0.582924	−	0.812527i	$-0.698091\pi$
$829$	2.28954	−	1.82584i	0.0795189	−	0.0634142i	0.662443	+	0.749113i	$0.269520\pi$
$830$	4.92162	+	1.76141i	0.170832	+	0.0611393i
$831$	−20.1945	−	9.72515i	−0.700539	−	0.337362i
$832$	2.78345	−	10.1788i	0.0964988	−	0.352885i
$833$	10.5272	+	13.8552i	0.364747	+	0.480053i
$834$	8.50394	+	5.42784i	0.294467	+	0.187951i
$835$	5.32149	−	11.0502i	0.184158	−	0.382408i
$836$	15.9122	+	20.5441i	0.550334	+	0.710532i
$837$	−0.354323	−	0.444307i	−0.0122472	−	0.0153575i
$838$	9.87280	−	27.5860i	0.341050	−	0.952943i
$839$	11.4679	−	50.2442i	0.395916	−	1.73462i	−0.247301	−	0.968939i	$-0.579544\pi$
$839$	11.4679	−	50.2442i	0.395916	−	1.73462i	0.643217	−	0.765684i	$-0.277599\pi$
$840$	−9.73475	+	4.29841i	−0.335881	+	0.148309i
$841$	−8.12347	−	35.5912i	−0.280120	−	1.22728i
$842$	−17.2671	−	2.06959i	−0.595064	−	0.0713229i
$843$	−1.96516	+	8.60993i	−0.0676837	+	0.296542i
$844$	0.598813	+	0.00849010i	0.0206120	+	0.000292241i
$845$	−12.5188	−	9.98344i	−0.430661	−	0.343441i
$846$	4.44869	+	7.19274i	0.152949	+	0.247291i
$847$	−18.3264	+	11.2177i	−0.629702	+	0.385444i
$848$	−5.47486	+	21.1976i	−0.188008	+	0.727928i
$849$	2.87482	−	12.5954i	0.0986636	−	0.432273i
$850$	−3.38741	−	9.90533i	−0.116187	−	0.339750i
$851$		−	27.4854i		−	0.942187i
$852$	27.2057	−	12.6296i	0.932053	−	0.432684i
$853$	18.4218	+	14.6909i	0.630751	+	0.503007i	0.885889	−	0.463898i	$-0.153550\pi$
$853$	18.4218	+	14.6909i	0.630751	+	0.503007i	−0.255138	+	0.966905i	$0.582121\pi$
$854$	−1.40820	−	0.349410i	−0.0481875	−	0.0119566i
$855$	8.51395	−	6.78965i	0.291171	−	0.232201i
$856$	−2.90525	−	4.84962i	−0.0992993	−	0.165757i
$857$	22.4740	+	46.6677i	0.767696	+	1.59414i	0.803879	+	0.594793i	$0.202766\pi$
$857$	22.4740	+	46.6677i	0.767696	+	1.59414i	−0.0361827	+	0.999345i	$0.511520\pi$
$858$	3.14252	+	0.376654i	0.107284	+	0.0128587i
$859$	−7.81950	−	9.80534i	−0.266798	−	0.334554i	0.630328	−	0.776329i	$-0.282920\pi$
$859$	−7.81950	−	9.80534i	−0.266798	−	0.334554i	−0.897126	+	0.441775i	$0.854349\pi$
$860$	4.09227	−	8.19830i	0.139545	−	0.279560i
$861$	2.21241	−	0.745155i	0.0753987	−	0.0253948i
$862$	7.07198	+	20.6796i	0.240873	+	0.704351i
$863$			25.1374i			0.855689i	0.903852	+	0.427844i	$0.140727\pi$
$863$			25.1374i			0.855689i	−0.903852	+	0.427844i	$0.859273\pi$
$864$	−5.40226	+	1.67796i	−0.183789	+	0.0570854i
$865$	17.8184	−	22.3436i	0.605845	−	0.759706i
$866$	−9.74691	−	9.88609i	−0.331214	−	0.335943i
$867$	−9.74907	+	4.69491i	−0.331096	+	0.159447i
$868$	2.50390	+	1.66529i	0.0849880	+	0.0565236i
$869$	−26.1429	−	12.5898i	−0.886837	−	0.427078i
$870$	−5.26682	−	15.4010i	−0.178562	−	0.522144i
$871$	11.2665	+	5.42565i	0.381750	+	0.183841i
$872$	38.8758	+	14.5383i	1.31650	+	0.492328i
$873$	0.805570	+	1.67278i	0.0272644	+	0.0566151i
$874$	−81.5485	−	29.1855i	−2.75842	−	0.987215i
$875$	15.6700	+	25.6002i	0.529743	+	0.865444i
$876$	0.995331	+	4.66471i	0.0336291	+	0.157606i
$877$	5.83443	+	25.5623i	0.197015	+	0.863177i	0.972702	+	0.232059i	$0.0745464\pi$
$877$	5.83443	+	25.5623i	0.197015	+	0.863177i	−0.775687	+	0.631118i	$0.782596\pi$
$878$	−1.60278	−	15.1922i	−0.0540912	−	0.512713i
$879$	−19.8443	+	4.52934i	−0.669332	+	0.152771i
$880$	8.81032	−	3.93915i	0.296996	−	0.132789i
$881$		−	5.53417i		−	0.186451i	−0.995645	−	0.0932255i	$-0.970282\pi$
$881$		−	5.53417i		−	0.186451i	0.995645	−	0.0932255i	$-0.0297178\pi$
$882$	−6.78299	−	7.21048i	−0.228395	−	0.242789i
$883$		−	40.1968i		−	1.35273i	−0.736566	−	0.676365i	$-0.763554\pi$
$883$		−	40.1968i		−	1.35273i	0.736566	−	0.676365i	$-0.236446\pi$
$884$	0.0929701	−	6.55725i	0.00312692	−	0.220544i
$885$	−14.1485	+	3.22931i	−0.475598	+	0.108552i
$886$	−3.33600	+	0.351947i	−0.112075	+	0.0118239i
$887$	1.23557	+	5.41339i	0.0414864	+	0.181764i	0.991426	−	0.130670i	$-0.0417128\pi$
$887$	1.23557	+	5.41339i	0.0414864	+	0.181764i	−0.949939	+	0.312434i	$0.898856\pi$
$888$	−9.10456	−	3.40481i	−0.305529	−	0.114258i
$889$	16.8341	−	16.4438i	0.564596	−	0.551509i
$890$	8.02780	−	22.4308i	0.269092	−	0.751882i
$891$	−0.736155	−	1.52864i	−0.0246621	−	0.0512114i
$892$	−18.9217	+	4.03742i	−0.633547	+	0.135183i
$893$	41.2607	+	19.8701i	1.38074	+	0.664927i
$894$	−23.6702	+	8.09470i	−0.791651	+	0.270727i
$895$	2.39452	+	1.15314i	0.0800398	+	0.0385451i
$896$	24.5029	−	17.1932i	0.818585	−	0.574385i
$897$	−9.50468	+	4.57721i	−0.317352	+	0.152829i
$898$	−39.4318	+	38.8767i	−1.31586	+	1.29733i
$899$	−2.86776	+	3.59605i	−0.0956450	+	0.119935i
$900$	2.50773	+	5.40195i	0.0835910	+	0.180065i
$901$			13.6057i			0.453271i
$902$	−2.00329	+	0.685081i	−0.0667022	+	0.0228107i
$903$	8.45862	+	1.05364i	0.281485	+	0.0350628i
$904$	−17.5786	+	10.5308i	−0.584656	+	0.350248i
$905$	−20.3937	−	25.5729i	−0.677911	−	0.850073i
$906$	−2.06139	+	17.1987i	−0.0684850	+	0.571387i
$907$	18.8336	+	39.1083i	0.625358	+	1.29857i	0.937318	+	0.348474i	$0.113300\pi$
$907$	18.8336	+	39.1083i	0.625358	+	1.29857i	−0.311961	+	0.950095i	$0.600986\pi$
$908$	24.5600	−	49.2025i	0.815051	−	1.63284i
$909$	−4.30059	+	3.42961i	−0.142642	+	0.113753i
$910$	1.43274	+	6.87059i	0.0474947	+	0.227758i
$911$	26.4612	+	21.1021i	0.876698	+	0.699144i	0.954623	−	0.297816i	$-0.0962581\pi$
$911$	26.4612	+	21.1021i	0.876698	+	0.699144i	−0.0779252	+	0.996959i	$0.524830\pi$
$912$	−19.7697	+	23.3976i	−0.654641	+	0.774772i
$913$		−	4.41012i		−	0.145954i
$914$	36.9824	−	12.6472i	1.22327	−	0.418332i
$915$	0.122702	−	0.537595i	0.00405642	−	0.0177723i
$916$	14.3447	−	17.4736i	0.473961	−	0.577344i
$917$	−4.27176	−	1.55121i	−0.141066	−	0.0512254i
$918$	−2.98984	+	1.84921i	−0.0986793	+	0.0610330i
$919$	7.44531	+	5.93743i	0.245598	+	0.195858i	0.738550	−	0.674199i	$-0.235511\pi$
$919$	7.44531	+	5.93743i	0.245598	+	0.195858i	−0.492952	+	0.870056i	$0.664082\pi$
$920$	−17.6895	+	26.8670i	−0.583205	+	0.885778i
$921$	1.39543	−	6.11379i	0.0459811	−	0.201456i
$922$	5.20439	−	43.4215i	0.171397	−	1.43001i
$923$	−4.40194	−	19.2862i	−0.144892	−	0.634812i
$924$	6.18178	+	6.51062i	0.203366	+	0.214184i
$925$	−2.27724	+	9.97723i	−0.0748751	+	0.328049i
$926$	53.3463	+	19.0922i	1.75307	+	0.627409i
$927$	−7.41762	−	9.30140i	−0.243627	−	0.305498i
$928$	22.9697	+	39.6056i	0.754018	+	1.30012i
$929$	−0.890652	+	1.84946i	−0.0292213	+	0.0606787i	−0.915069	−	0.403298i	$-0.867864\pi$
$929$	−0.890652	+	1.84946i	−0.0292213	+	0.0606787i	0.885847	+	0.463977i	$0.153578\pi$
$930$	−0.614885	+	0.963356i	−0.0201629	+	0.0315897i
$931$	−51.9671	−	13.1505i	−1.70315	−	0.430989i
$932$	6.39672	+	13.7793i	0.209531	+	0.451356i
$933$	17.2649	+	8.31431i	0.565226	+	0.272198i
$934$	5.22064	−	14.5872i	0.170824	−	0.477308i
$935$	4.68910	−	3.73943i	0.153350	−	0.122292i
$936$	0.338794	+	3.71545i	0.0110738	+	0.121443i
$937$	−25.7896	−	5.88630i	−0.842508	−	0.192297i	−0.220577	−	0.975369i	$-0.570794\pi$
$937$	−25.7896	−	5.88630i	−0.842508	−	0.192297i	−0.621930	+	0.783073i	$0.713651\pi$
$938$	14.7865	+	32.2425i	0.482797	+	1.05276i
$939$	20.4861	−	4.67581i	0.668538	−	0.152589i
$940$	10.7919	−	13.1458i	0.351992	−	0.428770i
$941$	53.9895	+	12.3228i	1.76001	+	0.401711i	0.975779	−	0.218760i	$-0.0702010\pi$
$941$	53.9895	+	12.3228i	1.76001	+	0.401711i	0.784230	+	0.620470i	$0.213058\pi$
$942$	10.3836	−	6.42225i	0.338317	−	0.209248i
$943$	4.39990	−	5.51730i	0.143280	−	0.179668i
$944$	37.2663	−	16.6620i	1.21292	−	0.542301i
$945$	2.69139	−	2.62900i	0.0875509	−	0.0855214i
$946$	−7.67551	−	0.919967i	−0.249552	−	0.0299107i
$947$	27.0233	+	6.16789i	0.878139	+	0.200429i	0.637746	−	0.770246i	$-0.279867\pi$
$947$	27.0233	+	6.16789i	0.878139	+	0.200429i	0.240392	+	0.970676i	$0.422724\pi$
$948$	8.08311	−	33.2353i	0.262527	−	1.07943i
$949$	3.14577			0.102116
$950$	27.1841	+	17.3509i	0.881969	+	0.562937i
$951$	−2.88704	+	3.62023i	−0.0936187	+	0.117394i
$952$	12.0717	−	14.1533i	0.391247	−	0.458712i
$953$	3.92316	+	4.91948i	0.127084	+	0.159358i	0.841302	−	0.540565i	$-0.181789\pi$
$953$	3.92316	+	4.91948i	0.127084	+	0.159358i	−0.714219	+	0.699922i	$0.753218\pi$
$954$	−0.812106	−	7.69770i	−0.0262929	−	0.249222i
$955$	13.3745	−	6.44084i	0.432790	−	0.208421i
$956$	17.2982	−	21.0714i	0.559463	−	0.681496i
$957$	−10.7362	+	8.56185i	−0.347053	+	0.276765i
$958$	−3.19526	−	30.2869i	−0.103234	−	0.978525i
$959$	−18.2535	−	6.62842i	−0.589437	−	0.214043i
$960$	6.70839	+	9.18786i	0.216512	+	0.296537i
$961$	−30.6770			−0.989582
$962$	−3.44918	+	5.40393i	−0.111206	+	0.174230i
$963$	1.56267	+	1.24619i	0.0503563	+	0.0401578i
$964$	−7.17594	−	33.6307i	−0.231121	−	1.08317i
$965$	13.3968	+	27.8187i	0.431258	+	0.895517i
$966$	−29.0439	−	7.20652i	−0.934471	−	0.231866i
$967$	−9.16617	+	19.0338i	−0.294764	+	0.612084i	−0.994780	−	0.102043i	$-0.967462\pi$
$967$	−9.16617	+	19.0338i	−0.294764	+	0.612084i	0.700016	+	0.714127i	$0.253176\pi$
$968$	15.8936	+	16.5844i	0.510840	+	0.533042i
$969$	−8.25949	+	17.1510i	−0.265333	+	0.550970i
$970$	2.65886	−	2.62143i	0.0853709	−	0.0841691i
$971$	−3.61045	+	1.73870i	−0.115865	+	0.0557975i	−0.490918	−	0.871206i	$-0.663339\pi$
$971$	−3.61045	+	1.73870i	−0.115865	+	0.0557975i	0.375054	+	0.927003i	$0.377624\pi$
$972$	1.58118	−	1.22469i	0.0507165	−	0.0392818i
$973$	18.7787	−	1.89315i	0.602018	−	0.0606917i
$974$	−21.7063	−	22.0162i	−0.695513	−	0.705444i
$975$	3.82944	−	0.874046i	0.122640	−	0.0279919i
$976$	−0.0439741	+	1.55045i	−0.00140758	+	0.0496288i
$977$	7.45674	+	32.6701i	0.238562	+	1.04521i	0.942305	+	0.334755i	$0.108654\pi$
$977$	7.45674	+	32.6701i	0.238562	+	1.04521i	−0.703743	+	0.710455i	$0.748489\pi$
$978$	−11.2511	+	6.95881i	−0.359772	+	0.222518i
$979$	−20.0996			−0.642386
$980$	−9.30661	+	17.5992i	−0.297289	+	0.562187i
$981$	−14.6743			−0.468515
$982$	14.6734	−	9.07547i	0.468247	−	0.289610i
$983$	−8.82248	−	38.6538i	−0.281393	−	1.23286i	−0.896008	−	0.444038i	$-0.853546\pi$
$983$	−8.82248	−	38.6538i	−0.281393	−	1.23286i	0.614615	−	0.788827i	$-0.289311\pi$
$984$	−1.28256	−	2.14094i	−0.0408866	−	0.0682505i
$985$	23.2169	−	5.29911i	0.739752	−	0.168844i
$986$	19.9762	+	20.2614i	0.636172	+	0.645256i
$987$	14.8720	+	5.40049i	0.473382	+	0.171900i
$988$	12.3708	+	15.9718i	0.393567	+	0.508132i
$989$	23.2149	−	11.1797i	0.738192	−	0.355494i
$990$	−2.42975	+	2.39555i	−0.0772226	+	0.0761354i
$991$	−4.58830	+	9.52770i	−0.145752	+	0.302657i	−0.961045	−	0.276391i	$-0.910862\pi$
$991$	−4.58830	+	9.52770i	−0.145752	+	0.302657i	0.815293	+	0.579048i	$0.196576\pi$
$992$	1.16862	−	2.99481i	0.0371036	−	0.0950852i
$993$	−5.83530	+	12.1171i	−0.185178	+	0.384525i
$994$	25.2939	−	50.0902i	0.802274	−	1.58877i
$995$	13.7686	+	28.5907i	0.436493	+	0.906388i
$996$	5.08413	−	1.08483i	0.161097	−	0.0343740i
$997$	−5.26926	−	4.20210i	−0.166879	−	0.133082i	0.536489	−	0.843907i	$-0.319750\pi$
$997$	−5.26926	−	4.20210i	−0.166879	−	0.133082i	−0.703369	+	0.710825i	$0.748322\pi$
$998$	16.7692	−	26.2728i	0.530821	−	0.831652i
$999$	3.43667			0.108732

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.a.559.9	yes	168
4.3	odd	2		588.2.x.b.559.1	yes	168
49.27	odd	14		588.2.x.b.223.1	yes	168
196.27	even	14	inner	588.2.x.a.223.9	✓	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.223.9	✓	168	196.27	even	14	inner
588.2.x.a.559.9	yes	168	1.1	even	1	trivial
588.2.x.b.223.1	yes	168	49.27	odd	14
588.2.x.b.559.1	yes	168	4.3	odd	2

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:	\( N \)	\(=\)	\( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	588.x (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.743900 - 1.20275i) q^{2} +(-0.222521 - 0.974928i) q^{3} +(-0.893226 + 1.78945i) q^{4} +(-1.38638 + 0.316432i) q^{5} +(-1.00706 + 0.992886i) q^{6} +(-0.327037 + 2.62546i) q^{7} +(2.81674 - 0.256845i) q^{8} +(-0.900969 + 0.433884i) q^{9} +O(q^{10})\)	\(q+(-0.743900 - 1.20275i) q^{2} +(-0.222521 - 0.974928i) q^{3} +(-0.893226 + 1.78945i) q^{4} +(-1.38638 + 0.316432i) q^{5} +(-1.00706 + 0.992886i) q^{6} +(-0.327037 + 2.62546i) q^{7} +(2.81674 - 0.256845i) q^{8} +(-0.900969 + 0.433884i) q^{9} +(1.41192 + 1.43208i) q^{10} +(0.736155 - 1.52864i) q^{11} +(1.94335 + 0.472640i) q^{12} +(0.572318 - 1.18843i) q^{13} +(3.40106 - 1.55974i) q^{14} +(0.616996 + 1.28121i) q^{15} +(-2.40429 - 3.19677i) q^{16} +(-1.94350 - 1.54989i) q^{17} +(1.19209 + 0.760876i) q^{18} +7.65788 q^{19} +(0.672109 - 2.76351i) q^{20} +(2.63241 - 0.265383i) q^{21} +(-2.38620 + 0.251744i) q^{22} +(6.25283 - 4.98647i) q^{23} +(-0.877190 - 2.68897i) q^{24} +(-2.68293 + 1.29203i) q^{25} +(-1.85513 + 0.195717i) q^{26} +(0.623490 + 0.781831i) q^{27} +(-4.40603 - 2.93035i) q^{28} +(5.04628 - 6.32784i) q^{29} +(1.08199 - 1.69518i) q^{30} -0.568290 q^{31} +(-2.05637 + 5.26985i) q^{32} +(-1.65412 - 0.377543i) q^{33} +(-0.418364 + 3.49051i) q^{34} +(-0.377383 - 3.74337i) q^{35} +(0.0283536 - 1.99980i) q^{36} +(2.14273 - 2.68690i) q^{37} +(-5.69670 - 9.21053i) q^{38} +(-1.28599 - 0.293518i) q^{39} +(-3.82379 + 1.24739i) q^{40} +(0.860244 - 0.196345i) q^{41} +(-2.27744 - 2.96872i) q^{42} +(3.14099 + 0.716910i) q^{43} +(2.07788 + 2.68274i) q^{44} +(1.11179 - 0.886622i) q^{45} +(-10.6490 - 3.81118i) q^{46} +(5.38800 + 2.59473i) q^{47} +(-2.58162 + 3.05536i) q^{48} +(-6.78609 - 1.71724i) q^{49} +(3.54982 + 2.26576i) q^{50} +(-1.07856 + 2.23965i) q^{51} +(1.61543 + 2.08567i) q^{52} +(-3.41255 - 4.27920i) q^{53} +(0.476536 - 1.33151i) q^{54} +(-0.536878 + 2.35222i) q^{55} +(-0.246840 + 7.47924i) q^{56} +(-1.70404 - 7.46588i) q^{57} +(-11.3648 - 1.36215i) q^{58} +(-2.27091 + 9.94952i) q^{59} +(-2.84378 - 0.0403197i) q^{60} +(-0.303170 - 0.241770i) q^{61} +(0.422751 + 0.683513i) q^{62} +(-0.844495 - 2.50735i) q^{63} +(7.86806 - 1.44693i) q^{64} +(-0.417392 + 1.82871i) q^{65} +(0.776412 + 2.27036i) q^{66} +9.48014i q^{67} +(4.50944 - 2.09340i) q^{68} +(-6.25283 - 4.98647i) q^{69} +(-4.22161 + 3.23859i) q^{70} +(11.7253 - 9.35058i) q^{71} +(-2.42635 + 1.45355i) q^{72} +(1.03475 + 2.14868i) q^{73} +(-4.82565 - 0.578390i) q^{74} +(1.85664 + 2.32816i) q^{75} +(-6.84022 + 13.7034i) q^{76} +(3.77264 + 2.43267i) q^{77} +(0.603616 + 1.76507i) q^{78} -17.1021i q^{79} +(4.34482 + 3.67114i) q^{80} +(0.623490 - 0.781831i) q^{81} +(-0.876090 - 0.888600i) q^{82} +(2.34188 - 1.12779i) q^{83} +(-1.87644 + 4.94762i) q^{84} +(3.18486 + 1.53375i) q^{85} +(-1.47432 - 4.31114i) q^{86} +(-7.29209 - 3.51169i) q^{87} +(1.68093 - 4.49486i) q^{88} +(-5.14003 - 10.6734i) q^{89} +(-1.89345 - 0.677649i) q^{90} +(2.93301 + 1.89126i) q^{91} +(3.33787 + 15.6432i) q^{92} +(0.126457 + 0.554042i) q^{93} +(-0.887323 - 8.41065i) q^{94} +(-10.6167 + 2.42320i) q^{95} +(5.59531 + 0.832163i) q^{96} -1.85665i q^{97} +(2.98275 + 9.43945i) q^{98} +1.69666i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Introduction

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