LMFDB - Embedded newform 273.2.cg.a.262.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(19,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 10, 5]))

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

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

chi := DirichletCharacter("273.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.cg (of order $12$, degree $4$, 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:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$36$
Relative dimension:	$9$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			262.2
Character	$\chi$	$=$	273.262
Dual form			273.2.cg.a.124.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.478662 - 1.78639i) q^{2} -1.00000i q^{3} +(-1.23003 + 0.710156i) q^{4} +(-0.0199621 + 0.0744995i) q^{5} +(-1.78639 + 0.478662i) q^{6} +(1.85948 - 1.88211i) q^{7} +(-0.758075 - 0.758075i) q^{8} -1.00000 q^{9} +O(q^{10})$	\(q+(-0.478662 - 1.78639i) q^{2} -1.00000i q^{3} +(-1.23003 + 0.710156i) q^{4} +(-0.0199621 + 0.0744995i) q^{5} +(-1.78639 + 0.478662i) q^{6} +(1.85948 - 1.88211i) q^{7} +(-0.758075 - 0.758075i) q^{8} -1.00000 q^{9} +0.142640 q^{10} +(-0.492391 - 0.492391i) q^{11} +(0.710156 + 1.23003i) q^{12} +(-2.39818 - 2.69235i) q^{13} +(-4.25225 - 2.42086i) q^{14} +(0.0744995 + 0.0199621i) q^{15} +(-2.41167 + 4.17713i) q^{16} +(-0.618653 - 1.07154i) q^{17} +(0.478662 + 1.78639i) q^{18} +(3.98252 + 3.98252i) q^{19} +(-0.0283524 - 0.105813i) q^{20} +(-1.88211 - 1.85948i) q^{21} +(-0.643914 + 1.11529i) q^{22} +(-6.38284 - 3.68514i) q^{23} +(-0.758075 + 0.758075i) q^{24} +(4.32498 + 2.49703i) q^{25} +(-3.66167 + 5.57281i) q^{26} +1.00000i q^{27} +(-0.950615 + 3.63557i) q^{28} +(1.84462 + 3.19498i) q^{29} -0.142640i q^{30} +(8.76813 - 2.34941i) q^{31} +(6.54527 + 1.75380i) q^{32} +(-0.492391 + 0.492391i) q^{33} +(-1.61806 + 1.61806i) q^{34} +(0.103097 + 0.176101i) q^{35} +(1.23003 - 0.710156i) q^{36} +(-4.44832 + 1.19192i) q^{37} +(5.20806 - 9.02063i) q^{38} +(-2.69235 + 2.39818i) q^{39} +(0.0716090 - 0.0413434i) q^{40} +(0.231836 - 0.865225i) q^{41} +(-2.42086 + 4.25225i) q^{42} +(-2.14988 - 1.24124i) q^{43} +(0.955327 + 0.255979i) q^{44} +(0.0199621 - 0.0744995i) q^{45} +(-3.52787 + 13.1662i) q^{46} +(0.404685 + 0.108435i) q^{47} +(4.17713 + 2.41167i) q^{48} +(-0.0846832 - 6.99949i) q^{49} +(2.39046 - 8.92133i) q^{50} +(-1.07154 + 0.618653i) q^{51} +(4.86181 + 1.60858i) q^{52} +(5.75319 - 9.96481i) q^{53} +(1.78639 - 0.478662i) q^{54} +(0.0465120 - 0.0268537i) q^{55} +(-2.83640 + 0.0171575i) q^{56} +(3.98252 - 3.98252i) q^{57} +(4.82454 - 4.82454i) q^{58} +(13.5288 + 3.62504i) q^{59} +(-0.105813 + 0.0283524i) q^{60} -6.50300i q^{61} +(-8.39395 - 14.5387i) q^{62} +(-1.85948 + 1.88211i) q^{63} -2.88522i q^{64} +(0.248451 - 0.124918i) q^{65} +(1.11529 + 0.643914i) q^{66} +(-1.47547 + 1.47547i) q^{67} +(1.52192 + 0.878680i) q^{68} +(-3.68514 + 6.38284i) q^{69} +(0.265237 - 0.268465i) q^{70} +(0.119329 + 0.445340i) q^{71} +(0.758075 + 0.758075i) q^{72} +(-1.31625 - 4.91231i) q^{73} +(4.25848 + 7.37591i) q^{74} +(2.49703 - 4.32498i) q^{75} +(-7.72682 - 2.07040i) q^{76} +(-1.84232 + 0.0111443i) q^{77} +(5.57281 + 3.66167i) q^{78} +(3.26395 + 5.65332i) q^{79} +(-0.263052 - 0.263052i) q^{80} +1.00000 q^{81} -1.65660 q^{82} +(9.54235 + 9.54235i) q^{83} +(3.63557 + 0.950615i) q^{84} +(0.0921787 - 0.0246992i) q^{85} +(-1.18826 + 4.43466i) q^{86} +(3.19498 - 1.84462i) q^{87} +0.746538i q^{88} +(-1.15180 - 4.29859i) q^{89} -0.142640 q^{90} +(-9.52666 - 0.492723i) q^{91} +10.4681 q^{92} +(-2.34941 - 8.76813i) q^{93} -0.774829i q^{94} +(-0.376196 + 0.217197i) q^{95} +(1.75380 - 6.54527i) q^{96} +(15.6536 - 4.19437i) q^{97} +(-12.4633 + 3.50167i) q^{98} +(0.492391 + 0.492391i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 36 q + 4 q^{7} - 36 q^{9}+O(q^{10}) $ 36 * q + 4 * q^7 - 36 * q^9	$ 36 q + 4 q^{7} - 36 q^{9} + 4 q^{11} + 16 q^{12} + 42 q^{14} + 12 q^{16} - 4 q^{17} - 24 q^{19} - 14 q^{20} + 4 q^{22} - 12 q^{23} - 24 q^{25} - 28 q^{26} - 12 q^{28} + 8 q^{29} - 6 q^{31} + 46 q^{32} + 4 q^{33} + 24 q^{34} - 10 q^{35} - 20 q^{37} + 8 q^{38} - 2 q^{39} - 30 q^{40} - 34 q^{41} + 24 q^{42} + 30 q^{43} - 32 q^{44} - 26 q^{46} + 4 q^{47} - 24 q^{48} - 20 q^{50} + 24 q^{51} + 98 q^{52} - 8 q^{53} + 30 q^{55} - 10 q^{56} - 24 q^{57} - 96 q^{58} - 14 q^{59} - 46 q^{60} + 48 q^{62} - 4 q^{63} + 28 q^{65} + 18 q^{66} + 62 q^{67} - 54 q^{68} - 4 q^{69} - 148 q^{70} + 42 q^{71} - 52 q^{73} - 20 q^{74} - 10 q^{75} - 12 q^{76} - 24 q^{77} - 16 q^{78} + 76 q^{80} + 36 q^{81} + 48 q^{82} + 60 q^{83} + 50 q^{84} + 2 q^{85} + 12 q^{86} + 18 q^{87} + 50 q^{89} + 40 q^{91} - 100 q^{92} - 6 q^{93} + 24 q^{95} - 4 q^{96} - 36 q^{97} + 16 q^{98} - 4 q^{99}+O(q^{100}) $ 36 * q + 4 * q^7 - 36 * q^9 + 4 * q^11 + 16 * q^12 + 42 * q^14 + 12 * q^16 - 4 * q^17 - 24 * q^19 - 14 * q^20 + 4 * q^22 - 12 * q^23 - 24 * q^25 - 28 * q^26 - 12 * q^28 + 8 * q^29 - 6 * q^31 + 46 * q^32 + 4 * q^33 + 24 * q^34 - 10 * q^35 - 20 * q^37 + 8 * q^38 - 2 * q^39 - 30 * q^40 - 34 * q^41 + 24 * q^42 + 30 * q^43 - 32 * q^44 - 26 * q^46 + 4 * q^47 - 24 * q^48 - 20 * q^50 + 24 * q^51 + 98 * q^52 - 8 * q^53 + 30 * q^55 - 10 * q^56 - 24 * q^57 - 96 * q^58 - 14 * q^59 - 46 * q^60 + 48 * q^62 - 4 * q^63 + 28 * q^65 + 18 * q^66 + 62 * q^67 - 54 * q^68 - 4 * q^69 - 148 * q^70 + 42 * q^71 - 52 * q^73 - 20 * q^74 - 10 * q^75 - 12 * q^76 - 24 * q^77 - 16 * q^78 + 76 * q^80 + 36 * q^81 + 48 * q^82 + 60 * q^83 + 50 * q^84 + 2 * q^85 + 12 * q^86 + 18 * q^87 + 50 * q^89 + 40 * q^91 - 100 * q^92 - 6 * q^93 + 24 * q^95 - 4 * q^96 - 36 * q^97 + 16 * q^98 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{6}\right)$

Coefficient data

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

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

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

$2$	−0.478662	−	1.78639i	−0.338465	−	1.26317i	−0.900063	−	0.435759i	$-0.856480\pi$
$2$	−0.478662	−	1.78639i	−0.338465	−	1.26317i	0.561598	−	0.827410i	$-0.310187\pi$
$3$		−	1.00000i		−	0.577350i
$3$		−	1.00000i		−	0.577350i
$4$	−1.23003	+	0.710156i	−0.615013	+	0.355078i
$5$	−0.0199621	+	0.0744995i	−0.00892732	+	0.0333172i	−0.970246	−	0.242122i	$-0.922157\pi$
$5$	−0.0199621	+	0.0744995i	−0.00892732	+	0.0333172i	0.961319	+	0.275439i	$0.0888233\pi$
$6$	−1.78639	+	0.478662i	−0.729291	+	0.195413i
$7$	1.85948	−	1.88211i	0.702817	−	0.711371i
$7$	1.85948	−	1.88211i	0.702817	−	0.711371i
$8$	−0.758075	−	0.758075i	−0.268020	−	0.268020i
$9$	−1.00000			−0.333333
$10$	0.142640			0.0451069
$11$	−0.492391	−	0.492391i	−0.148461	−	0.148461i	0.628969	−	0.777430i	$-0.283477\pi$
$11$	−0.492391	−	0.492391i	−0.148461	−	0.148461i	−0.777430	+	0.628969i	$0.783477\pi$
$12$	0.710156	+	1.23003i	0.205004	+	0.355078i
$13$	−2.39818	−	2.69235i	−0.665135	−	0.746723i
$13$	−2.39818	−	2.69235i	−0.665135	−	0.746723i
$14$	−4.25225	−	2.42086i	−1.13646	−	0.647002i
$15$	0.0744995	+	0.0199621i	0.0192357	+	0.00515419i
$16$	−2.41167	+	4.17713i	−0.602917	+	1.04428i
$17$	−0.618653	−	1.07154i	−0.150045	−	0.259886i	0.781199	−	0.624283i	$-0.214609\pi$
$17$	−0.618653	−	1.07154i	−0.150045	−	0.259886i	−0.931244	+	0.364396i	$0.881275\pi$
$18$	0.478662	+	1.78639i	0.112822	+	0.421057i
$19$	3.98252	+	3.98252i	0.913654	+	0.913654i	0.996558	−	0.0829038i	$-0.0264194\pi$
$19$	3.98252	+	3.98252i	0.913654	+	0.913654i	−0.0829038	+	0.996558i	$0.526419\pi$
$20$	−0.0283524	−	0.105813i	−0.00633979	−	0.0236604i
$21$	−1.88211	−	1.85948i	−0.410710	−	0.405771i
$22$	−0.643914	+	1.11529i	−0.137283	+	0.237781i
$23$	−6.38284	−	3.68514i	−1.33092	−	0.768404i	−0.345475	−	0.938428i	$-0.612282\pi$
$23$	−6.38284	−	3.68514i	−1.33092	−	0.768404i	−0.985440	+	0.170024i	$0.945616\pi$
$24$	−0.758075	+	0.758075i	−0.154741	+	0.154741i
$25$	4.32498	+	2.49703i	0.864995	+	0.499405i
$26$	−3.66167	+	5.57281i	−0.718113	+	1.09292i
$27$			1.00000i			0.192450i
$28$	−0.950615	+	3.63557i	−0.179649	+	0.687057i
$29$	1.84462	+	3.19498i	0.342538	+	0.593293i	0.984903	−	0.173105i	$-0.0553801\pi$
$29$	1.84462	+	3.19498i	0.342538	+	0.593293i	−0.642365	+	0.766399i	$0.722047\pi$
$30$		−	0.142640i		−	0.0260425i
$31$	8.76813	−	2.34941i	1.57480	−	0.421967i	0.637491	−	0.770458i	$-0.279972\pi$
$31$	8.76813	−	2.34941i	1.57480	−	0.421967i	0.937312	+	0.348491i	$0.113306\pi$
$32$	6.54527	+	1.75380i	1.15705	+	0.310031i
$33$	−0.492391	+	0.492391i	−0.0857142	+	0.0857142i
$34$	−1.61806	+	1.61806i	−0.277495	+	0.277495i
$35$	0.103097	+	0.176101i	0.0174266	+	0.0297665i
$36$	1.23003	−	0.710156i	0.205004	−	0.118359i
$37$	−4.44832	+	1.19192i	−0.731299	+	0.195951i	−0.605208	−	0.796068i	$-0.706910\pi$
$37$	−4.44832	+	1.19192i	−0.731299	+	0.195951i	−0.126092	+	0.992019i	$0.540243\pi$
$38$	5.20806	−	9.02063i	0.844860	−	1.46334i
$39$	−2.69235	+	2.39818i	−0.431121	+	0.384016i
$40$	0.0716090	−	0.0413434i	0.0113224	−	0.00653697i
$41$	0.231836	−	0.865225i	0.0362067	−	0.135125i	−0.945457	−	0.325748i	$-0.894384\pi$
$41$	0.231836	−	0.865225i	0.0362067	−	0.135125i	0.981663	+	0.190622i	$0.0610506\pi$
$42$	−2.42086	+	4.25225i	−0.373547	+	0.656136i
$43$	−2.14988	−	1.24124i	−0.327854	−	0.189287i	0.327034	−	0.945013i	$-0.393951\pi$
$43$	−2.14988	−	1.24124i	−0.327854	−	0.189287i	−0.654888	+	0.755726i	$0.727284\pi$
$44$	0.955327	+	0.255979i	0.144021	+	0.0385903i
$45$	0.0199621	−	0.0744995i	0.00297577	−	0.0111057i
$46$	−3.52787	+	13.1662i	−0.520156	+	1.94125i
$47$	0.404685	+	0.108435i	0.0590293	+	0.0158169i	0.288213	−	0.957566i	$-0.406939\pi$
$47$	0.404685	+	0.108435i	0.0590293	+	0.0158169i	−0.229184	+	0.973383i	$0.573606\pi$
$48$	4.17713	+	2.41167i	0.602917	+	0.348094i
$49$	−0.0846832	−	6.99949i	−0.0120976	−	0.999927i
$50$	2.39046	−	8.92133i	0.338063	−	1.26167i
$51$	−1.07154	+	0.618653i	−0.150045	+	0.0866287i
$52$	4.86181	+	1.60858i	0.674212	+	0.223070i
$53$	5.75319	−	9.96481i	0.790261	−	1.36877i	−0.135544	−	0.990771i	$-0.543278\pi$
$53$	5.75319	−	9.96481i	0.790261	−	1.36877i	0.925805	−	0.378001i	$-0.123388\pi$
$54$	1.78639	−	0.478662i	0.243097	−	0.0651377i
$55$	0.0465120	−	0.0268537i	0.00627168	−	0.00362095i
$56$	−2.83640	+	0.0171575i	−0.379030	+	0.00229276i
$57$	3.98252	−	3.98252i	0.527498	−	0.527498i
$58$	4.82454	−	4.82454i	0.633493	−	0.633493i
$59$	13.5288	+	3.62504i	1.76131	+	0.471940i	0.986980	−	0.160846i	$-0.0514223\pi$
$59$	13.5288	+	3.62504i	1.76131	+	0.471940i	0.774326	+	0.632787i	$0.218089\pi$
$60$	−0.105813	+	0.0283524i	−0.0136603	+	0.00366028i
$61$		−	6.50300i		−	0.832624i	−0.909222	−	0.416312i	$-0.863322\pi$
$61$		−	6.50300i		−	0.832624i	0.909222	−	0.416312i	$-0.136678\pi$
$62$	−8.39395	−	14.5387i	−1.06603	−	1.84642i
$63$	−1.85948	+	1.88211i	−0.234272	+	0.237124i
$64$		−	2.88522i		−	0.360652i
$65$	0.248451	−	0.124918i	0.0308166	−	0.0154942i
$66$	1.11529	+	0.643914i	0.137283	+	0.0792603i
$67$	−1.47547	+	1.47547i	−0.180257	+	0.180257i	−0.791468	−	0.611211i	$-0.790683\pi$
$67$	−1.47547	+	1.47547i	−0.180257	+	0.180257i	0.611211	+	0.791468i	$0.290683\pi$
$68$	1.52192	+	0.878680i	0.184560	+	0.106556i
$69$	−3.68514	+	6.38284i	−0.443638	+	0.768404i
$70$	0.265237	−	0.268465i	0.0317018	−	0.0320877i
$71$	0.119329	+	0.445340i	0.0141617	+	0.0528522i	0.972645	−	0.232296i	$-0.0746238\pi$
$71$	0.119329	+	0.445340i	0.0141617	+	0.0528522i	−0.958483	+	0.285148i	$0.907957\pi$
$72$	0.758075	+	0.758075i	0.0893400	+	0.0893400i
$73$	−1.31625	−	4.91231i	−0.154055	−	0.574942i	−0.999184	−	0.0403800i	$-0.987143\pi$
$73$	−1.31625	−	4.91231i	−0.154055	−	0.574942i	0.845129	−	0.534562i	$-0.179524\pi$
$74$	4.25848	+	7.37591i	0.495039	+	0.857432i
$75$	2.49703	−	4.32498i	0.288332	−	0.499405i
$76$	−7.72682	−	2.07040i	−0.886328	−	0.237491i
$77$	−1.84232	+	0.0111443i	−0.209952	+	0.00127001i
$78$	5.57281	+	3.66167i	0.630997	+	0.414603i
$79$	3.26395	+	5.65332i	0.367223	+	0.636048i	0.989130	−	0.147043i	$-0.0469754\pi$
$79$	3.26395	+	5.65332i	0.367223	+	0.636048i	−0.621908	+	0.783091i	$0.713642\pi$
$80$	−0.263052	−	0.263052i	−0.0294102	−	0.0294102i
$81$	1.00000			0.111111
$82$	−1.65660			−0.182941
$83$	9.54235	+	9.54235i	1.04741	+	1.04741i	0.998819	+	0.0485904i	$0.0154729\pi$
$83$	9.54235	+	9.54235i	1.04741	+	1.04741i	0.0485904	+	0.998819i	$0.484527\pi$
$84$	3.63557	+	0.950615i	0.396673	+	0.103721i
$85$	0.0921787	−	0.0246992i	0.00999818	−	0.00267900i
$86$	−1.18826	+	4.43466i	−0.128134	+	0.478202i
$87$	3.19498	−	1.84462i	0.342538	−	0.197764i
$88$			0.746538i			0.0795812i
$89$	−1.15180	−	4.29859i	−0.122091	−	0.455650i	0.877628	−	0.479342i	$-0.159125\pi$
$89$	−1.15180	−	4.29859i	−0.122091	−	0.455650i	−0.999719	+	0.0236921i	$0.992458\pi$
$90$	−0.142640			−0.0150356
$91$	−9.52666	−	0.492723i	−0.998665	−	0.0516514i
$92$	10.4681			1.09137
$93$	−2.34941	−	8.76813i	−0.243623	−	0.909213i
$94$		−	0.774829i		−	0.0799175i
$95$	−0.376196	+	0.217197i	−0.0385969	+	0.0222839i
$96$	1.75380	−	6.54527i	0.178996	−	0.668024i
$97$	15.6536	−	4.19437i	1.58938	−	0.425874i	0.647569	−	0.762007i	$-0.275786\pi$
$97$	15.6536	−	4.19437i	1.58938	−	0.425874i	0.941815	+	0.336132i	$0.109119\pi$
$98$	−12.4633	+	3.50167i	−1.25898	+	0.353722i
$99$	0.492391	+	0.492391i	0.0494871	+	0.0494871i
$100$	−7.09311			−0.709311
$101$	10.1274			1.00771			0.503856	−	0.863788i	$-0.331914\pi$
$101$	10.1274			1.00771			0.503856	+	0.863788i	$0.331914\pi$
$102$	1.61806	+	1.61806i	0.160212	+	0.160212i
$103$	−1.47339	−	2.55198i	−0.145177	−	0.251454i	0.784262	−	0.620430i	$-0.213042\pi$
$103$	−1.47339	−	2.55198i	−0.145177	−	0.251454i	−0.929439	+	0.368976i	$0.879709\pi$
$104$	−0.223002	+	3.85900i	−0.0218672	+	0.378406i
$105$	0.176101	−	0.103097i	0.0171857	−	0.0100613i
$106$	−20.5549	−	5.50767i	−1.99647	−	0.534952i
$107$	−8.42085	+	14.5853i	−0.814075	+	1.41002i	0.0959158	+	0.995389i	$0.469422\pi$
$107$	−8.42085	+	14.5853i	−0.814075	+	1.41002i	−0.909990	+	0.414629i	$0.863911\pi$
$108$	−0.710156	−	1.23003i	−0.0683348	−	0.118359i
$109$	2.91975	+	10.8967i	0.279662	+	1.04371i	0.952653	+	0.304061i	$0.0983426\pi$
$109$	2.91975	+	10.8967i	0.279662	+	1.04371i	−0.672991	+	0.739651i	$0.734991\pi$
$110$	−0.0702348	−	0.0702348i	−0.00669662	−	0.00669662i
$111$	1.19192	+	4.44832i	0.113132	+	0.422216i
$112$	3.37738	+	12.3063i	0.319133	+	1.16284i
$113$	−5.69946	+	9.87175i	−0.536160	+	0.928656i	0.462946	+	0.886386i	$0.346792\pi$
$113$	−5.69946	+	9.87175i	−0.536160	+	0.928656i	−0.999106	+	0.0422699i	$0.986541\pi$
$114$	−9.02063	−	5.20806i	−0.844860	−	0.487780i
$115$	0.401956	−	0.401956i	0.0374826	−	0.0374826i
$116$	−4.53787	−	2.61994i	−0.421331	−	0.243256i
$117$	2.39818	+	2.69235i	0.221712	+	0.248908i
$118$		−	25.9030i		−	2.38456i
$119$	−3.16713	−	0.828128i	−0.290330	−	0.0759144i
$120$	−0.0413434	−	0.0716090i	−0.00377412	−	0.00653697i
$121$		−	10.5151i		−	0.955918i
$122$	−11.6169	+	3.11274i	−1.05175	+	0.281814i
$123$	−0.865225	−	0.231836i	−0.0780147	−	0.0209040i
$124$	−9.11658	+	9.11658i	−0.818693	+	0.818693i
$125$	−0.545050	+	0.545050i	−0.0487507	+	0.0487507i
$126$	4.25225	+	2.42086i	0.378820	+	0.215667i
$127$	−11.9564	+	6.90305i	−1.06096	+	0.612547i	−0.925698	−	0.378263i	$-0.876522\pi$
$127$	−11.9564	+	6.90305i	−1.06096	+	0.612547i	−0.135264	+	0.990810i	$0.543188\pi$
$128$	7.93641	−	2.12655i	0.701486	−	0.187963i
$129$	−1.24124	+	2.14988i	−0.109285	+	0.189287i
$130$	−0.342077	−	0.384038i	−0.0300022	−	0.0336823i
$131$	−12.3717	+	7.14282i	−1.08092	+	0.624071i	−0.931145	−	0.364648i	$-0.881189\pi$
$131$	−12.3717	+	7.14282i	−1.08092	+	0.624071i	−0.149778	+	0.988720i	$0.547856\pi$
$132$	0.255979	−	0.955327i	0.0222801	−	0.0831506i
$133$	14.9010	−	0.0901363i	1.29208	−	0.00781581i
$134$	3.34201	+	1.92951i	0.288706	+	0.166685i
$135$	−0.0744995	−	0.0199621i	−0.00641190	−	0.00171806i
$136$	−0.343321	+	1.28129i	−0.0294395	+	0.109870i
$137$	−1.09346	+	4.08086i	−0.0934208	+	0.348651i	−0.996775	−	0.0802436i	$-0.974430\pi$
$137$	−1.09346	+	4.08086i	−0.0934208	+	0.348651i	0.903355	+	0.428895i	$0.141097\pi$
$138$	13.1662	+	3.52787i	1.12078	+	0.300312i
$139$	−8.52594	−	4.92246i	−0.723161	−	0.417517i	0.0927539	−	0.995689i	$-0.470433\pi$
$139$	−8.52594	−	4.92246i	−0.723161	−	0.417517i	−0.815915	+	0.578172i	$0.803766\pi$
$140$	−0.251872	−	0.143394i	−0.0212870	−	0.0121190i
$141$	0.108435	−	0.404685i	0.00913187	−	0.0340806i
$142$	0.738434	−	0.426335i	0.0619680	−	0.0357772i
$143$	−0.144846	+	2.50653i	−0.0121126	+	0.209606i
$144$	2.41167	−	4.17713i	0.200972	−	0.348094i
$145$	−0.274847	+	0.0736451i	−0.0228248	+	0.00611589i
$146$	−8.14527	+	4.70267i	−0.674107	+	0.389196i
$147$	−6.99949	+	0.0846832i	−0.577308	+	0.00698456i
$148$	4.62510	−	4.62510i	0.380181	−	0.380181i
$149$	−2.48244	+	2.48244i	−0.203369	+	0.203369i	−0.801442	−	0.598073i	$-0.795933\pi$
$149$	−2.48244	+	2.48244i	−0.203369	+	0.203369i	0.598073	+	0.801442i	$0.295933\pi$
$150$	−8.92133	−	2.39046i	−0.728424	−	0.195181i
$151$	−18.6733	+	5.00350i	−1.51961	+	0.407179i	−0.919615	−	0.392821i	$-0.871499\pi$
$151$	−18.6733	+	5.00350i	−1.51961	+	0.407179i	−0.599999	+	0.800001i	$0.704832\pi$
$152$		−	6.03810i		−	0.489755i
$153$	0.618653	+	1.07154i	0.0500151	+	0.0866287i
$154$	0.901758	+	3.28578i	0.0726658	+	0.264775i
$155$			0.700121i			0.0562351i
$156$	1.60858	−	4.86181i	0.128789	−	0.389256i
$157$	2.19466	+	1.26709i	0.175153	+	0.101125i	0.585013	−	0.811024i	$-0.301089\pi$
$157$	2.19466	+	1.26709i	0.175153	+	0.101125i	−0.409860	+	0.912148i	$0.634423\pi$
$158$	8.53671	−	8.53671i	0.679145	−	0.679145i
$159$	−9.96481	−	5.75319i	−0.790261	−	0.456257i
$160$	−0.261314	+	0.452610i	−0.0206587	+	0.0357820i
$161$	−18.8046	+	5.16079i	−1.48201	+	0.406727i
$162$	−0.478662	−	1.78639i	−0.0376073	−	0.140352i
$163$	10.0258	+	10.0258i	0.785280	+	0.785280i	0.980716	−	0.195437i	$-0.0626124\pi$
$163$	10.0258	+	10.0258i	0.785280	+	0.785280i	−0.195437	+	0.980716i	$0.562612\pi$
$164$	0.329280	+	1.22889i	0.0257124	+	0.0959601i
$165$	−0.0268537	−	0.0465120i	−0.00209056	−	0.00362095i
$166$	12.4788	−	21.6139i	0.968544	−	1.67757i
$167$	3.12094	+	0.836254i	0.241506	+	0.0647113i	0.377542	−	0.925993i	$-0.376770\pi$
$167$	3.12094	+	0.836254i	0.241506	+	0.0647113i	−0.136036	+	0.990704i	$0.543436\pi$
$168$	0.0171575	+	2.83640i	0.00132373	+	0.218833i
$169$	−1.49748	+	12.9135i	−0.115190	+	0.993343i
$170$	−0.0882449	−	0.152845i	−0.00676807	−	0.0117226i
$171$	−3.98252	−	3.98252i	−0.304551	−	0.304551i
$172$	3.52588			0.268846
$173$	−0.638361			−0.0485337			−0.0242668	−	0.999706i	$-0.507725\pi$
$173$	−0.638361			−0.0485337			−0.0242668	+	0.999706i	$0.507725\pi$
$174$	−4.82454	−	4.82454i	−0.365747	−	0.365747i
$175$	12.7419	−	3.49692i	0.963195	−	0.264342i
$176$	3.24426	−	0.869298i	0.244546	−	0.0655258i
$177$	3.62504	−	13.5288i	0.272475	−	1.01689i
$178$	−7.12764	+	4.11514i	−0.534239	+	0.308443i
$179$		−	7.82754i		−	0.585058i	−0.956257	−	0.292529i	$-0.905503\pi$
$179$		−	7.82754i		−	0.585058i	0.956257	−	0.292529i	$-0.0944967\pi$
$180$	0.0283524	+	0.105813i	0.00211326	+	0.00788680i
$181$	−7.74072			−0.575363			−0.287682	−	0.957726i	$-0.592885\pi$
$181$	−7.74072			−0.575363			−0.287682	+	0.957726i	$0.592885\pi$
$182$	3.67985	+	17.2542i	0.272769	+	1.27897i
$183$	−6.50300			−0.480716
$184$	2.04506	+	7.63228i	0.150764	+	0.562659i
$185$		−	0.355191i		−	0.0261142i
$186$	−14.5387	+	8.39395i	−1.06603	+	0.615474i
$187$	−0.222996	+	0.832234i	−0.0163071	+	0.0608590i
$188$	−0.574779	+	0.154011i	−0.0419200	+	0.0112324i
$189$	1.88211	+	1.85948i	0.136903	+	0.135257i
$190$	0.568069	+	0.568069i	0.0412120	+	0.0412120i
$191$	13.5470			0.980225			0.490112	−	0.871659i	$-0.336956\pi$
$191$	13.5470			0.980225			0.490112	+	0.871659i	$0.336956\pi$
$192$	−2.88522			−0.208223
$193$	−10.9813	−	10.9813i	−0.790452	−	0.790452i	0.191115	−	0.981568i	$-0.438790\pi$
$193$	−10.9813	−	10.9813i	−0.790452	−	0.790452i	−0.981568	+	0.191115i	$0.938790\pi$
$194$	−14.9856	−	25.9558i	−1.07590	−	1.86352i
$195$	−0.124918	−	0.248451i	−0.00894558	−	0.0177920i
$196$	5.07489	+	8.54942i	0.362492	+	0.610673i
$197$	12.9524	+	3.47059i	0.922822	+	0.247269i	0.688791	−	0.724960i	$-0.258142\pi$
$197$	12.9524	+	3.47059i	0.922822	+	0.247269i	0.234031	+	0.972229i	$0.424808\pi$
$198$	0.643914	−	1.11529i	0.0457609	−	0.0792603i
$199$	−1.64312	−	2.84597i	−0.116478	−	0.201746i	0.801892	−	0.597469i	$-0.203827\pi$
$199$	−1.64312	−	2.84597i	−0.116478	−	0.201746i	−0.918370	+	0.395724i	$0.870494\pi$
$200$	−1.38572	−	5.17159i	−0.0979854	−	0.365686i
$201$	1.47547	+	1.47547i	0.104071	+	0.104071i
$202$	−4.84759	−	18.0915i	−0.341075	−	1.27291i
$203$	9.44335	+	2.46921i	0.662793	+	0.173305i
$204$	0.878680	−	1.52192i	0.0615199	−	0.106556i
$205$	0.0598309	+	0.0345434i	0.00417877	+	0.00241261i
$206$	−3.85358	+	3.85358i	−0.268492	+	0.268492i
$207$	6.38284	+	3.68514i	0.443638	+	0.256135i
$208$	17.0299	−	3.52446i	1.18081	−	0.244377i
$209$		−	3.92191i		−	0.271285i
$210$	−0.268465	−	0.265237i	−0.0185258	−	0.0183031i
$211$	−6.31298	−	10.9344i	−0.434604	−	0.752756i	0.562660	−	0.826689i	$-0.309778\pi$
$211$	−6.31298	−	10.9344i	−0.434604	−	0.752756i	−0.997263	+	0.0739331i	$0.976445\pi$
$212$			16.3426i			1.12242i
$213$	0.445340	−	0.119329i	0.0305142	−	0.00817626i
$214$	30.0859	+	8.06149i	2.05663	+	0.551072i
$215$	0.135388	−	0.135388i	0.00923335	−	0.00923335i
$216$	0.758075	−	0.758075i	0.0515805	−	0.0515805i
$217$	11.8823	−	20.8713i	0.806623	−	1.41684i
$218$	18.0681	−	10.4316i	1.22373	−	0.706520i
$219$	−4.91231	+	1.31625i	−0.331943	+	0.0889439i
$220$	−0.0381407	+	0.0660616i	−0.00257144	+	0.00445387i
$221$	−1.40131	+	4.23537i	−0.0942626	+	0.284902i
$222$	7.37591	−	4.25848i	0.495039	−	0.285811i
$223$	−5.22617	+	19.5043i	−0.349971	+	1.30611i	0.536726	+	0.843756i	$0.319661\pi$
$223$	−5.22617	+	19.5043i	−0.349971	+	1.30611i	−0.886697	+	0.462351i	$0.847006\pi$
$224$	15.4716	−	9.05777i	1.03374	−	0.605198i
$225$	−4.32498	−	2.49703i	−0.288332	−	0.166468i
$226$	20.3629	+	5.45623i	1.35452	+	0.362943i
$227$	−3.30632	+	12.3394i	−0.219448	+	0.818992i	0.765105	+	0.643906i	$0.222687\pi$
$227$	−3.30632	+	12.3394i	−0.219448	+	0.818992i	−0.984553	+	0.175086i	$0.943980\pi$
$228$	−2.07040	+	7.72682i	−0.137115	+	0.511721i
$229$	11.8832	+	3.18409i	0.785262	+	0.210410i	0.629104	−	0.777322i	$-0.283422\pi$
$229$	11.8832	+	3.18409i	0.785262	+	0.210410i	0.156159	+	0.987732i	$0.450089\pi$
$230$	−0.910452	−	0.525649i	−0.0600334	−	0.0346603i
$231$	0.0111443	+	1.84232i	0.000733238	+	0.121216i
$232$	1.02367	−	3.82040i	0.0672074	−	0.250821i
$233$	0.0361142	−	0.0208505i	0.00236592	−	0.00136596i	−0.498817	−	0.866708i	$-0.666232\pi$
$233$	0.0361142	−	0.0208505i	0.00236592	−	0.00136596i	0.501182	+	0.865342i	$0.332899\pi$
$234$	3.66167	−	5.57281i	0.239371	−	0.364306i
$235$	−0.0161567	+	0.0279842i	−0.00105395	+	0.00182549i
$236$	−19.2152	+	5.14869i	−1.25080	+	0.335151i
$237$	5.65332	−	3.26395i	0.367223	−	0.212016i
$238$	0.0366215	+	6.05412i	0.00237382	+	0.392430i
$239$	1.45212	−	1.45212i	0.0939296	−	0.0939296i	−0.658581	−	0.752510i	$-0.728843\pi$
$239$	1.45212	−	1.45212i	0.0939296	−	0.0939296i	0.752510	+	0.658581i	$0.228843\pi$
$240$	−0.263052	+	0.263052i	−0.0169800	+	0.0169800i
$241$	−2.66815	−	0.714928i	−0.171871	−	0.0460526i	0.171857	−	0.985122i	$-0.445023\pi$
$241$	−2.66815	−	0.714928i	−0.171871	−	0.0460526i	−0.343728	+	0.939069i	$0.611690\pi$
$242$	−18.7841	+	5.03318i	−1.20749	+	0.323545i
$243$		−	1.00000i		−	0.0641500i
$244$	4.61815	+	7.99887i	0.295647	+	0.512075i
$245$	0.523149	+	0.133416i	0.0334228	+	0.00852360i
$246$			1.65660i			0.105621i
$247$	1.17154	−	20.2731i	0.0745430	−	1.28995i
$248$	−8.42793	−	4.86587i	−0.535174	−	0.308983i
$249$	9.54235	−	9.54235i	0.604722	−	0.604722i
$250$	1.23457	+	0.712778i	0.0780809	+	0.0450800i
$251$	−11.9299	+	20.6631i	−0.753006	+	1.30424i	0.193353	+	0.981129i	$0.438064\pi$
$251$	−11.9299	+	20.6631i	−0.753006	+	1.30424i	−0.946359	+	0.323116i	$0.895270\pi$
$252$	0.950615	−	3.63557i	0.0598831	−	0.229019i
$253$	1.32833	+	4.95738i	0.0835111	+	0.311668i
$254$	18.0546	+	18.0546i	1.13285	+	1.13285i
$255$	−0.0246992	−	0.0921787i	−0.00154672	−	0.00577245i
$256$	−10.4829	−	18.1570i	−0.655184	−	1.13481i
$257$	3.35862	−	5.81730i	0.209505	−	0.362873i	−0.742054	−	0.670340i	$-0.766148\pi$
$257$	3.35862	−	5.81730i	0.209505	−	0.362873i	0.951559	+	0.307467i	$0.0994814\pi$
$258$	4.43466	+	1.18826i	0.276090	+	0.0739781i
$259$	−6.02822	+	10.5886i	−0.374575	+	0.657943i
$260$	−0.216890	+	0.330092i	−0.0134510	+	0.0204714i
$261$	−1.84462	−	3.19498i	−0.114179	−	0.197764i
$262$	18.6818	+	18.6818i	1.15416	+	1.15416i
$263$	15.4647			0.953594			0.476797	−	0.879014i	$-0.341798\pi$
$263$	15.4647			0.953594			0.476797	+	0.879014i	$0.341798\pi$
$264$	0.746538			0.0459462
$265$	0.627528	+	0.627528i	0.0385487	+	0.0385487i
$266$	−7.29355	−	26.5758i	−0.447196	−	1.62947i
$267$	−4.29859	+	1.15180i	−0.263069	+	0.0704892i
$268$	0.767052	−	2.86268i	0.0468552	−	0.174866i
$269$	−0.303881	+	0.175446i	−0.0185280	+	0.0106971i	−0.509235	−	0.860627i	$-0.670072\pi$
$269$	−0.303881	+	0.175446i	−0.0185280	+	0.0106971i	0.490707	+	0.871324i	$0.336738\pi$
$270$			0.142640i			0.00868082i
$271$	−2.58433	−	9.64484i	−0.156987	−	0.585882i	−0.998927	−	0.0463115i	$-0.985253\pi$
$271$	−2.58433	−	9.64484i	−0.156987	−	0.585882i	0.841940	−	0.539570i	$-0.181413\pi$
$272$	5.96794			0.361860
$273$	−0.492723	+	9.52666i	−0.0298210	+	0.576580i
$274$	7.81340			0.472025
$275$	−0.900065	−	3.35909i	−0.0542760	−	0.202561i
$276$		−	10.4681i		−	0.630105i
$277$	−8.39611	+	4.84750i	−0.504473	+	0.291258i	−0.730559	−	0.682850i	$-0.760740\pi$
$277$	−8.39611	+	4.84750i	−0.504473	+	0.291258i	0.226086	+	0.974107i	$0.427407\pi$
$278$	−4.71239	+	17.5869i	−0.282630	+	1.05479i
$279$	−8.76813	+	2.34941i	−0.524934	+	0.140656i
$280$	0.0553423	−	0.211653i	0.00330734	−	0.0126487i
$281$	−22.0548	−	22.0548i	−1.31568	−	1.31568i	−0.917161	−	0.398518i	$-0.869525\pi$
$281$	−22.0548	−	22.0548i	−1.31568	−	1.31568i	−0.398518	−	0.917161i	$-0.630475\pi$
$282$	−0.774829			−0.0461404
$283$	4.15060			0.246728			0.123364	−	0.992362i	$-0.460632\pi$
$283$	4.15060			0.246728			0.123364	+	0.992362i	$0.460632\pi$
$284$	−0.463038	−	0.463038i	−0.0274763	−	0.0274763i
$285$	0.217197	+	0.376196i	0.0128656	+	0.0222839i
$286$	4.54697	−	0.941028i	0.268868	−	0.0556441i
$287$	−1.19735	−	2.04521i	−0.0706776	−	0.120725i
$288$	−6.54527	−	1.75380i	−0.385684	−	0.103344i
$289$	7.73454	−	13.3966i	0.454973	−	0.788036i
$290$	0.263118	+	0.455734i	0.0154508	+	0.0267616i
$291$	−4.19437	−	15.6536i	−0.245879	−	0.917631i
$292$	5.10753	+	5.10753i	0.298895	+	0.298895i
$293$	−4.12495	−	15.3945i	−0.240982	−	0.899357i	−0.975361	−	0.220617i	$-0.929193\pi$
$293$	−4.12495	−	15.3945i	−0.240982	−	0.899357i	0.734379	−	0.678740i	$-0.237474\pi$
$294$	3.50167	+	12.4633i	0.204221	+	0.726874i
$295$	−0.540128	+	0.935529i	−0.0314475	+	0.0544686i
$296$	4.27573	+	2.46859i	0.248522	+	0.143484i
$297$	0.492391	−	0.492391i	0.0285714	−	0.0285714i
$298$	5.62285	+	3.24635i	0.325723	+	0.188056i
$299$	5.38553	+	26.0225i	0.311453	+	1.50492i
$300$			7.09311i			0.409521i
$301$	−6.33380	+	1.73827i	−0.365074	+	0.100192i
$302$	17.8764	+	30.9629i	1.02867	+	1.78171i
$303$		−	10.1274i		−	0.581802i
$304$	−26.2401	+	7.03100i	−1.50497	+	0.403256i
$305$	0.484471	+	0.129814i	0.0277407	+	0.00743310i
$306$	1.61806	−	1.61806i	0.0924984	−	0.0924984i
$307$	−5.87701	+	5.87701i	−0.335419	+	0.335419i	−0.854640	−	0.519221i	$-0.826222\pi$
$307$	−5.87701	+	5.87701i	−0.335419	+	0.335419i	0.519221	+	0.854640i	$0.326222\pi$
$308$	2.25819	−	1.32204i	0.128672	−	0.0753305i
$309$	−2.55198	+	1.47339i	−0.145177	+	0.0838180i
$310$	1.25069	−	0.335121i	0.0710344	−	0.0190336i
$311$	−12.8619	+	22.2775i	−0.729331	+	1.26324i	0.227835	+	0.973700i	$0.426835\pi$
$311$	−12.8619	+	22.2775i	−0.729331	+	1.26324i	−0.957166	+	0.289539i	$0.906498\pi$
$312$	3.85900	+	0.223002i	0.218473	+	0.0126250i
$313$	−19.5449	+	11.2842i	−1.10474	+	0.637823i	−0.937463	−	0.348086i	$-0.886832\pi$
$313$	−19.5449	+	11.2842i	−1.10474	+	0.637823i	−0.167280	+	0.985909i	$0.553498\pi$
$314$	1.21301	−	4.52703i	0.0684543	−	0.255475i
$315$	−0.103097	−	0.176101i	−0.00580887	−	0.00992217i
$316$	−8.02948	−	4.63582i	−0.451693	−	0.260785i
$317$	10.5010	+	2.81372i	0.589792	+	0.158034i	0.541358	−	0.840792i	$-0.317910\pi$
$317$	10.5010	+	2.81372i	0.589792	+	0.158034i	0.0484339	+	0.998826i	$0.484577\pi$
$318$	−5.50767	+	20.5549i	−0.308855	+	1.15266i
$319$	0.664904	−	2.48145i	0.0372275	−	0.138935i
$320$	0.214947	+	0.0575950i	0.0120159	+	0.00321966i
$321$	14.5853	+	8.42085i	0.814075	+	0.470006i
$322$	18.2202	+	31.1221i	1.01537	+	1.73437i
$323$	1.80363	−	6.73123i	0.100356	−	0.374536i
$324$	−1.23003	+	0.710156i	−0.0683348	+	0.0394531i
$325$	−3.64920	−	17.6327i	−0.202421	−	0.978084i
$326$	13.1110	−	22.7089i	0.726152	−	1.25773i
$327$	10.8967	−	2.91975i	0.602587	−	0.161463i
$328$	−0.831654	+	0.480156i	−0.0459204	+	0.0265122i
$329$	0.956589	−	0.560029i	0.0527384	−	0.0308754i
$330$	−0.0702348	+	0.0702348i	−0.00386630	+	0.00386630i
$331$	−15.3077	+	15.3077i	−0.841389	+	0.841389i	−0.989040	−	0.147651i	$-0.952829\pi$
$331$	−15.3077	+	15.3077i	−0.841389	+	0.841389i	0.147651	+	0.989040i	$0.452829\pi$
$332$	−18.5139	−	4.96079i	−1.01608	−	0.272258i
$333$	4.44832	−	1.19192i	0.243766	−	0.0653170i
$334$		−	5.97551i		−	0.326965i
$335$	−0.0804682	−	0.139375i	−0.00439645	−	0.00761487i
$336$	12.3063	−	3.37738i	0.671365	−	0.184251i
$337$			15.6989i			0.855172i	0.903975	+	0.427586i	$0.140636\pi$
$337$			15.6989i			0.855172i	−0.903975	+	0.427586i	$0.859364\pi$
$338$	23.7853	−	3.50611i	1.29375	−	0.190707i
$339$	9.87175	+	5.69946i	0.536160	+	0.309552i
$340$	−0.0958419	+	0.0958419i	−0.00519776	+	0.00519776i
$341$	−5.47417	−	3.16052i	−0.296443	−	0.171152i
$342$	−5.20806	+	9.02063i	−0.281620	+	0.487780i
$343$	−13.3313	−	12.8560i	−0.719821	−	0.694159i
$344$	0.688822	+	2.57072i	0.0371388	+	0.138604i
$345$	−0.401956	−	0.401956i	−0.0216406	−	0.0216406i
$346$	0.305559	+	1.14036i	0.0164270	+	0.0613062i
$347$	10.1136	+	17.5173i	0.542927	+	0.940378i	0.998734	+	0.0502990i	$0.0160174\pi$
$347$	10.1136	+	17.5173i	0.542927	+	0.940378i	−0.455807	+	0.890079i	$0.650649\pi$
$348$	−2.61994	+	4.53787i	−0.140444	+	0.243256i
$349$	22.3749	+	5.99533i	1.19770	+	0.320923i	0.801925	−	0.597425i	$-0.203809\pi$
$349$	22.3749	+	5.99533i	1.19770	+	0.320923i	0.395775	+	0.918348i	$0.370476\pi$
$350$	−12.3459	−	21.0881i	−0.659917	−	1.12721i
$351$	2.69235	−	2.39818i	0.143707	−	0.128005i
$352$	−2.35927	−	4.08638i	−0.125750	−	0.217805i
$353$	9.05621	+	9.05621i	0.482013	+	0.482013i	0.905774	−	0.423761i	$-0.139290\pi$
$353$	9.05621	+	9.05621i	0.482013	+	0.482013i	−0.423761	+	0.905774i	$0.639290\pi$
$354$	−25.9030			−1.37673
$355$	−0.0355597			−0.00188731
$356$	4.46942	+	4.46942i	0.236879	+	0.236879i
$357$	−0.828128	+	3.16713i	−0.0438292	+	0.167622i
$358$	−13.9830	+	3.74675i	−0.739027	+	0.198022i
$359$	6.96850	−	26.0068i	0.367783	−	1.37259i	−0.495825	−	0.868423i	$-0.665134\pi$
$359$	6.96850	−	26.0068i	0.367783	−	1.37259i	0.863608	−	0.504163i	$-0.168199\pi$
$360$	−0.0716090	+	0.0413434i	−0.00377412	+	0.00217899i
$361$			12.7210i			0.669526i
$362$	3.70519	+	13.8280i	0.194741	+	0.726781i
$363$	−10.5151			−0.551900
$364$	12.0680	−	6.15935i	0.632533	−	0.322838i
$365$	0.392240			0.0205308
$366$	3.11274	+	11.6169i	0.162706	+	0.607226i
$367$		−	24.8485i		−	1.29708i	−0.761180	−	0.648540i	$-0.775380\pi$
$367$		−	24.8485i		−	1.29708i	0.761180	−	0.648540i	$-0.224620\pi$
$368$	30.7866	−	17.7747i	1.60486	−	0.926568i
$369$	−0.231836	+	0.865225i	−0.0120689	+	0.0450418i
$370$	−0.634510	+	0.170016i	−0.0329866	+	0.00883874i
$371$	−8.05696	−	29.3575i	−0.418296	−	1.52416i
$372$	9.11658	+	9.11658i	0.472673	+	0.472673i
$373$	−33.4941			−1.73426			−0.867129	−	0.498084i	$-0.834037\pi$
$373$	−33.4941			−1.73426			−0.867129	+	0.498084i	$0.834037\pi$
$374$	1.59344			0.0823946
$375$	0.545050	+	0.545050i	0.0281463	+	0.0281463i
$376$	−0.224579	−	0.388983i	−0.0115818	−	0.0200603i
$377$	4.17827	−	12.6285i	0.215192	−	0.650401i
$378$	2.42086	−	4.25225i	0.124516	−	0.218712i
$379$	2.63846	+	0.706973i	0.135529	+	0.0363148i	0.325946	−	0.945389i	$-0.394317\pi$
$379$	2.63846	+	0.706973i	0.135529	+	0.0363148i	−0.190417	+	0.981703i	$0.560984\pi$
$380$	0.308487	−	0.534315i	0.0158251	−	0.0274098i
$381$	6.90305	+	11.9564i	0.353654	+	0.612547i
$382$	−6.48442	−	24.2002i	−0.331772	−	1.23819i
$383$	−14.6720	−	14.6720i	−0.749705	−	0.749705i	0.224718	−	0.974424i	$-0.427854\pi$
$383$	−14.6720	−	14.6720i	−0.749705	−	0.749705i	−0.974424	+	0.224718i	$0.927854\pi$
$384$	−2.12655	−	7.93641i	−0.108520	−	0.405003i
$385$	0.0359464	−	0.137475i	0.00183200	−	0.00700636i
$386$	−14.3606	+	24.8733i	−0.730935	+	1.26602i
$387$	2.14988	+	1.24124i	0.109285	+	0.0630955i
$388$	−16.2757	+	16.2757i	−0.826274	+	0.826274i
$389$	−29.3050	−	16.9193i	−1.48582	−	0.857841i	−0.485955	−	0.873984i	$-0.661528\pi$
$389$	−29.3050	−	16.9193i	−1.48582	−	0.857841i	−0.999870	+	0.0161427i	$0.994861\pi$
$390$	−0.384038	+	0.342077i	−0.0194465	+	0.0173218i
$391$			9.11928i			0.461182i
$392$	−5.24194	+	5.37033i	−0.264758	+	0.271243i
$393$	7.14282	+	12.3717i	0.360308	+	0.624071i
$394$		−	24.7993i		−	1.24937i
$395$	−0.486325	+	0.130310i	−0.0244697	+	0.00655662i
$396$	−0.955327	−	0.255979i	−0.0480070	−	0.0128634i
$397$	−2.94763	+	2.94763i	−0.147937	+	0.147937i	−0.777196	−	0.629259i	$-0.783359\pi$
$397$	−2.94763	+	2.94763i	−0.147937	+	0.147937i	0.629259	+	0.777196i	$0.283359\pi$
$398$	−4.29752	+	4.29752i	−0.215415	+	0.215415i
$399$	−0.0901363	−	14.9010i	−0.00451246	−	0.745982i
$400$	−20.8608	+	12.0440i	−1.04304	+	0.602200i
$401$	−36.7767	+	9.85428i	−1.83654	+	0.492099i	−0.998562	−	0.0536073i	$-0.982928\pi$
$401$	−36.7767	+	9.85428i	−1.83654	+	0.492099i	−0.837976	+	0.545706i	$0.816261\pi$
$402$	1.92951	−	3.34201i	0.0962354	−	0.166685i
$403$	−27.3530	−	17.9726i	−1.36255	−	0.895276i
$404$	−12.4569	+	7.19202i	−0.619756	+	0.357816i
$405$	−0.0199621	+	0.0744995i	−0.000991924	+	0.00370191i
$406$	−0.109194	−	18.0514i	−0.00541919	−	0.895878i
$407$	2.77720	+	1.60342i	0.137661	+	0.0794785i
$408$	1.28129	+	0.343321i	0.0634334	+	0.0169969i
$409$	−4.94624	+	18.4596i	−0.244576	+	0.912770i	0.729020	+	0.684492i	$0.239976\pi$
$409$	−4.94624	+	18.4596i	−0.244576	+	0.912770i	−0.973596	+	0.228277i	$0.926691\pi$
$410$	0.0330692	−	0.123416i	0.00163317	−	0.00609508i
$411$	4.08086	+	1.09346i	0.201294	+	0.0539365i
$412$	3.62461	+	2.09267i	0.178572	+	0.103098i
$413$	31.9793	−	18.7221i	1.57360	−	0.921254i
$414$	3.52787	−	13.1662i	0.173385	−	0.647083i
$415$	−0.901386	+	0.520415i	−0.0442473	+	0.0255462i
$416$	−10.9749	−	21.8281i	−0.538088	−	1.07021i
$417$	−4.92246	+	8.52594i	−0.241054	+	0.417517i
$418$	−7.00608	+	1.87727i	−0.342678	+	0.0918204i
$419$	29.2306	−	16.8763i	1.42801	−	0.824460i	0.431043	−	0.902331i	$-0.358146\pi$
$419$	29.2306	−	16.8763i	1.42801	−	0.824460i	0.996963	+	0.0778716i	$0.0248124\pi$
$420$	−0.143394	+	0.251872i	−0.00699690	+	0.0122901i
$421$	20.2556	−	20.2556i	0.987197	−	0.987197i	−0.0127222	−	0.999919i	$-0.504050\pi$
$421$	20.2556	−	20.2556i	0.987197	−	0.987197i	0.999919	+	0.0127222i	$0.00404970\pi$
$422$	−16.5113	+	16.5113i	−0.803760	+	0.803760i
$423$	−0.404685	−	0.108435i	−0.0196764	−	0.00527229i
$424$	−11.9154	+	3.19273i	−0.578664	+	0.155053i
$425$		−	6.17917i		−	0.299734i
$426$	−0.426335	−	0.738434i	−0.0206560	−	0.0357772i
$427$	−12.2394	−	12.0922i	−0.592305	−	0.585182i
$428$		−	23.9205i		−	1.15624i
$429$	2.50653	+	0.144846i	0.121016	+	0.00699324i
$430$	−0.306660	−	0.177050i	−0.0147885	−	0.00853812i
$431$	12.3722	−	12.3722i	0.595947	−	0.595947i	−0.343284	−	0.939232i	$-0.611539\pi$
$431$	12.3722	−	12.3722i	0.595947	−	0.595947i	0.939232	+	0.343284i	$0.111539\pi$
$432$	−4.17713	−	2.41167i	−0.200972	−	0.116031i
$433$	−6.74582	+	11.6841i	−0.324184	+	0.561502i	−0.981347	−	0.192246i	$-0.938423\pi$
$433$	−6.74582	+	11.6841i	−0.324184	+	0.561502i	0.657163	+	0.753748i	$0.271756\pi$
$434$	−42.9719	−	11.2361i	−2.06272	−	0.539352i
$435$	0.0736451	+	0.274847i	0.00353101	+	0.0131779i
$436$	−11.3297	−	11.3297i	−0.542595	−	0.542595i
$437$	−10.7437	−	40.0960i	−0.513940	−	1.91805i
$438$	4.70267	+	8.14527i	0.224702	+	0.389196i
$439$	−11.8689	+	20.5575i	−0.566470	+	0.981155i	0.430441	+	0.902619i	$0.358358\pi$
$439$	−11.8689	+	20.5575i	−0.566470	+	0.981155i	−0.996911	+	0.0785362i	$0.974975\pi$
$440$	−0.0556167	−	0.0149024i	−0.00265142	−	0.000710446i
$441$	0.0846832	+	6.99949i	0.00403254	+	0.333309i
$442$	8.23678	+	0.475984i	0.391784	+	0.0226402i
$443$	17.9783	+	31.1393i	0.854173	+	1.47947i	0.877410	+	0.479741i	$0.159269\pi$
$443$	17.9783	+	31.1393i	0.854173	+	1.47947i	−0.0232374	+	0.999730i	$0.507397\pi$
$444$	−4.62510	−	4.62510i	−0.219497	−	0.219497i
$445$	0.343235			0.0162709
$446$	37.3440			1.76829
$447$	2.48244	+	2.48244i	0.117415	+	0.117415i
$448$	−5.43030	−	5.36500i	−0.256558	−	0.253472i
$449$	27.2216	−	7.29399i	1.28466	−	0.344225i	0.449033	−	0.893515i	$-0.351769\pi$
$449$	27.2216	−	7.29399i	1.28466	−	0.344225i	0.835632	+	0.549290i	$0.185102\pi$
$450$	−2.39046	+	8.92133i	−0.112688	+	0.420556i
$451$	−0.540182	+	0.311874i	−0.0254362	+	0.0146856i
$452$		−	16.1900i		−	0.761515i
$453$	5.00350	+	18.6733i	0.235085	+	0.877349i
$454$	23.6255			1.10880
$455$	0.226880	−	0.699896i	0.0106363	−	0.0328116i
$456$	−6.03810			−0.282760
$457$	0.0323388	+	0.120690i	0.00151274	+	0.00564564i	0.966678	−	0.255995i	$-0.0824031\pi$
$457$	0.0323388	+	0.120690i	0.00151274	+	0.00564564i	−0.965165	+	0.261641i	$0.915736\pi$
$458$		−	22.7521i		−	1.06314i
$459$	1.07154	−	0.618653i	0.0500151	−	0.0288762i
$460$	−0.208965	+	0.779868i	−0.00974304	+	0.0363615i
$461$	16.8148	−	4.50551i	0.783143	−	0.209843i	0.154973	−	0.987919i	$-0.450471\pi$
$461$	16.8148	−	4.50551i	0.783143	−	0.209843i	0.628170	+	0.778076i	$0.283804\pi$
$462$	3.28578	−	0.901758i	0.152868	−	0.0419536i
$463$	−1.07038	−	1.07038i	−0.0497447	−	0.0497447i	0.681797	−	0.731542i	$-0.261199\pi$
$463$	−1.07038	−	1.07038i	−0.0497447	−	0.0497447i	−0.731542	+	0.681797i	$0.761199\pi$
$464$	−17.7945			−0.826089
$465$	0.700121			0.0324673
$466$	−0.0545337	−	0.0545337i	−0.00252623	−	0.00252623i
$467$	14.6317	+	25.3429i	0.677075	+	1.17273i	0.975858	+	0.218408i	$0.0700862\pi$
$467$	14.6317	+	25.3429i	0.677075	+	1.17273i	−0.298782	+	0.954321i	$0.596580\pi$
$468$	−4.86181	−	1.60858i	−0.224737	−	0.0743565i
$469$	0.0333942	+	5.52059i	0.00154200	+	0.254917i
$470$	0.0577244	+	0.0154672i	0.00266263	+	0.000713449i
$471$	1.26709	−	2.19466i	0.0583843	−	0.101125i
$472$	−7.50782	−	13.0039i	−0.345576	−	0.598554i
$473$	0.447409	+	1.66975i	0.0205719	+	0.0767754i
$474$	−8.53671	−	8.53671i	−0.392104	−	0.392104i
$475$	7.27985	+	27.1688i	0.334023	+	1.24659i
$476$	4.48375	−	1.23053i	0.205512	−	0.0564014i
$477$	−5.75319	+	9.96481i	−0.263420	+	0.456257i
$478$	−3.28912	−	1.89897i	−0.150441	−	0.0868571i
$479$	2.41580	−	2.41580i	0.110381	−	0.110381i	−0.649759	−	0.760140i	$-0.725130\pi$
$479$	2.41580	−	2.41580i	0.110381	−	0.110381i	0.760140	+	0.649759i	$0.225130\pi$
$480$	0.452610	+	0.261314i	0.0206587	+	0.0119273i
$481$	13.8769	+	9.11798i	0.632734	+	0.415744i
$482$			5.10857i			0.232689i
$483$	5.16079	+	18.8046i	0.234824	+	0.855639i
$484$	7.46736	+	12.9339i	0.339426	+	0.587903i
$485$			1.24992i			0.0567557i
$486$	−1.78639	+	0.478662i	−0.0810324	+	0.0217126i
$487$	5.97650	+	1.60140i	0.270821	+	0.0725663i	0.391674	−	0.920104i	$-0.371896\pi$
$487$	5.97650	+	1.60140i	0.270821	+	0.0725663i	−0.120853	+	0.992670i	$0.538563\pi$
$488$	−4.92976	+	4.92976i	−0.223160	+	0.223160i
$489$	10.0258	−	10.0258i	0.453382	−	0.453382i
$490$	−0.0120793	−	0.998410i	−0.000545685	−	0.0451036i
$491$	−33.1219	+	19.1229i	−1.49477	+	0.863006i	−0.999982	−	0.00600745i	$-0.998088\pi$
$491$	−33.1219	+	19.1229i	−1.49477	+	0.863006i	−0.494788	+	0.869014i	$0.664754\pi$
$492$	1.22889	−	0.329280i	0.0554026	−	0.0148451i
$493$	2.28236	−	3.95317i	0.102793	−	0.178042i
$494$	−36.7766	+	7.61117i	−1.65466	+	0.342443i
$495$	−0.0465120	+	0.0268537i	−0.00209056	+	0.00120698i
$496$	−11.3320	+	42.2917i	−0.508823	+	1.89895i
$497$	1.06007	+	0.603511i	0.0475506	+	0.0270712i
$498$	−21.6139	−	12.4788i	−0.968544	−	0.559189i
$499$	3.99901	+	1.07153i	0.179020	+	0.0479684i	0.347216	−	0.937785i	$-0.387127\pi$
$499$	3.99901	+	1.07153i	0.179020	+	0.0479684i	−0.168195	+	0.985754i	$0.553794\pi$
$500$	0.283355	−	1.05750i	0.0126720	−	0.0472927i
$501$	0.836254	−	3.12094i	0.0373611	−	0.139433i
$502$	42.6228	+	11.4207i	1.90235	+	0.509733i
$503$	20.9643	+	12.1038i	0.934752	+	0.539680i	0.888311	−	0.459241i	$-0.151879\pi$
$503$	20.9643	+	12.1038i	0.934752	+	0.539680i	0.0464410	+	0.998921i	$0.485212\pi$
$504$	2.83640	−	0.0171575i	0.126343	−	0.000764255i
$505$	−0.202163	+	0.754484i	−0.00899616	+	0.0335741i
$506$	8.22000	−	4.74582i	0.365424	−	0.210977i
$507$	12.9135	+	1.49748i	0.573507	+	0.0665052i
$508$	9.80449	−	16.9819i	0.435004	−	0.753449i
$509$	−22.4817	+	6.02395i	−0.996483	+	0.267007i	−0.719971	−	0.694004i	$-0.755845\pi$
$509$	−22.4817	+	6.02395i	−0.996483	+	0.267007i	−0.276511	+	0.961011i	$0.589178\pi$
$510$	−0.152845	+	0.0882449i	−0.00676807	+	0.00390755i
$511$	−11.6930	−	6.65700i	−0.517270	−	0.294489i
$512$	−15.7980	+	15.7980i	−0.698179	+	0.698179i
$513$	−3.98252	+	3.98252i	−0.175833	+	0.175833i
$514$	−11.9996	−	3.21529i	−0.529281	−	0.141820i
$515$	0.219533	−	0.0588237i	0.00967379	−	0.00259208i
$516$		−	3.52588i		−	0.155218i
$517$	−0.145871	−	0.252655i	−0.00641538	−	0.0111118i
$518$	21.8008	+	5.70041i	0.957874	+	0.250461i
$519$			0.638361i			0.0280209i
$520$	−0.283042	−	0.0936472i	−0.0124122	−	0.00410670i
$521$	29.3950	+	16.9712i	1.28782	+	0.743522i	0.978265	−	0.207360i	$-0.0664872\pi$
$521$	29.3950	+	16.9712i	1.28782	+	0.743522i	0.309553	+	0.950882i	$0.399821\pi$
$522$	−4.82454	+	4.82454i	−0.211164	+	0.211164i
$523$	6.58042	+	3.79921i	0.287742	+	0.166128i	0.636923	−	0.770927i	$-0.280207\pi$
$523$	6.58042	+	3.79921i	0.287742	+	0.166128i	−0.349181	+	0.937055i	$0.613540\pi$
$524$	10.1450	−	17.5717i	0.443188	−	0.767624i
$525$	−3.49692	−	12.7419i	−0.152618	−	0.556101i
$526$	−7.40236	−	27.6260i	−0.322758	−	1.20455i
$527$	−7.94192	−	7.94192i	−0.345955	−	0.345955i
$528$	−0.869298	−	3.24426i	−0.0378313	−	0.141188i
$529$	15.6605	+	27.1247i	0.680890	+	1.17934i
$530$	0.820637	−	1.42138i	0.0356462	−	0.0617410i
$531$	−13.5288	−	3.62504i	−0.587102	−	0.157313i
$532$	−18.2646	+	10.6929i	−0.791870	+	0.463595i
$533$	−2.88547	+	1.45078i	−0.124984	+	0.0628402i
$534$	4.11514	+	7.12764i	0.178080	+	0.308443i
$535$	−0.918503	−	0.918503i	−0.0397104	−	0.0397104i
$536$	2.23703			0.0966250
$537$	−7.82754			−0.337783
$538$	0.458872	+	0.458872i	0.0197834	+	0.0197834i
$539$	−3.40478	+	3.48818i	−0.146654	+	0.150246i
$540$	0.105813	−	0.0283524i	0.00455345	−	0.00122009i
$541$	6.05411	−	22.5943i	0.260287	−	0.971403i	−0.704786	−	0.709420i	$-0.748957\pi$
$541$	6.05411	−	22.5943i	0.260287	−	0.971403i	0.965073	−	0.261983i	$-0.0843764\pi$
$542$	−15.9924	+	9.23324i	−0.686934	+	0.396601i
$543$			7.74072i			0.332186i
$544$	−2.16999	−	8.09850i	−0.0930374	−	0.347220i
$545$	−0.870081			−0.0372702
$546$	17.2542	−	3.67985i	0.738411	−	0.157483i
$547$	39.6600			1.69574			0.847870	−	0.530204i	$-0.177885\pi$
$547$	39.6600			1.69574			0.847870	+	0.530204i	$0.177885\pi$
$548$	−1.55306	−	5.79609i	−0.0663433	−	0.247597i
$549$			6.50300i			0.277541i
$550$	−5.56982	+	3.21574i	−0.237498	+	0.137119i
$551$	−5.37784	+	20.0704i	−0.229104	+	0.855026i
$552$	7.63228	−	2.04506i	0.324852	−	0.0870437i
$553$	16.7094	+	4.36912i	0.710556	+	0.185794i
$554$	12.6784	+	12.6784i	0.538655	+	0.538655i
$555$	−0.355191			−0.0150770
$556$	13.9828			0.593005
$557$	8.34321	+	8.34321i	0.353513	+	0.353513i	0.861415	−	0.507902i	$-0.169579\pi$
$557$	8.34321	+	8.34321i	0.353513	+	0.353513i	−0.507902	+	0.861415i	$0.669579\pi$
$558$	8.39395	+	14.5387i	0.355344	+	0.615474i
$559$	1.81397	+	8.76494i	0.0767226	+	0.370717i
$560$	−0.984234	+	0.00595366i	−0.0415915	+	0.000251588i
$561$	0.832234	+	0.222996i	0.0351370	+	0.00941492i
$562$	−28.8417	+	49.9553i	−1.21661	+	2.10724i
$563$	9.19172	+	15.9205i	0.387385	+	0.670970i	0.992097	−	0.125474i	$-0.0400451\pi$
$563$	9.19172	+	15.9205i	0.387385	+	0.670970i	−0.604712	+	0.796444i	$0.706712\pi$
$564$	0.154011	+	0.574779i	0.00648505	+	0.0242025i
$565$	−0.621668	−	0.621668i	−0.0261538	−	0.0261538i
$566$	−1.98674	−	7.41460i	−0.0835088	−	0.311659i
$567$	1.85948	−	1.88211i	0.0780907	−	0.0790412i
$568$	0.247141	−	0.428061i	0.0103698	−	0.0179610i
$569$	−11.7154	−	6.76392i	−0.491137	−	0.283558i	0.233909	−	0.972258i	$-0.424848\pi$
$569$	−11.7154	−	6.76392i	−0.491137	−	0.283558i	−0.725046	+	0.688700i	$0.758182\pi$
$570$	0.568069	−	0.568069i	0.0237938	−	0.0237938i
$571$	12.8299	+	7.40732i	0.536913	+	0.309987i	0.743827	−	0.668372i	$-0.233009\pi$
$571$	12.8299	+	7.40732i	0.536913	+	0.309987i	−0.206914	+	0.978359i	$0.566342\pi$
$572$	−1.60186	−	3.18596i	−0.0669772	−	0.133212i
$573$		−	13.5470i		−	0.565933i
$574$	−3.08041	+	3.11791i	−0.128574	+	0.130139i
$575$	−18.4038	−	31.8763i	−0.767490	−	1.32933i
$576$			2.88522i			0.120217i
$577$	−19.6668	+	5.26970i	−0.818740	+	0.219381i	−0.643795	−	0.765198i	$-0.722641\pi$
$577$	−19.6668	+	5.26970i	−0.818740	+	0.219381i	−0.174944	+	0.984578i	$0.555975\pi$
$578$	−27.6338	−	7.40446i	−1.14942	−	0.307985i
$579$	−10.9813	+	10.9813i	−0.456368	+	0.456368i
$580$	0.285770	−	0.285770i	0.0118659	−	0.0118659i
$581$	35.7036	−	0.215972i	1.48123	−	0.00896002i
$582$	−25.9558	+	14.9856i	−1.07590	+	0.621173i
$583$	−7.73939	+	2.07376i	−0.320533	+	0.0858865i
$584$	−2.72608	+	4.72171i	−0.112806	+	0.195386i
$585$	−0.248451	+	0.124918i	−0.0102722	+	0.00516474i
$586$	−25.5262	+	14.7375i	−1.05448	+	0.608802i
$587$	7.64015	−	28.5134i	0.315343	−	1.17688i	−0.608327	−	0.793686i	$-0.708159\pi$
$587$	7.64015	−	28.5134i	0.315343	−	1.17688i	0.923670	−	0.383189i	$-0.125174\pi$
$588$	8.54942	−	5.07489i	0.352572	−	0.209285i
$589$	44.2759	+	25.5627i	1.82436	+	1.05329i
$590$	1.92976	+	0.517078i	0.0794470	+	0.0212877i
$591$	3.47059	−	12.9524i	0.142761	−	0.532791i
$592$	5.74905	−	21.4557i	0.236285	−	0.881826i
$593$	−34.5866	−	9.26744i	−1.42030	−	0.380568i	−0.534710	−	0.845036i	$-0.679579\pi$
$593$	−34.5866	−	9.26744i	−1.42030	−	0.380568i	−0.885590	+	0.464467i	$0.846246\pi$
$594$	−1.11529	−	0.643914i	−0.0457609	−	0.0264201i
$595$	0.124918	−	0.219418i	0.00512112	−	0.00899527i
$596$	1.29055	−	4.81638i	0.0528628	−	0.197287i
$597$	−2.84597	+	1.64312i	−0.116478	+	0.0672485i
$598$	43.9084	−	22.0766i	1.79555	−	0.902781i
$599$	3.11170	−	5.38963i	0.127141	−	0.220214i	−0.795427	−	0.606049i	$-0.792753\pi$
$599$	3.11170	−	5.38963i	0.127141	−	0.220214i	0.922568	+	0.385835i	$0.126087\pi$
$600$	−5.17159	+	1.38572i	−0.211129	+	0.0565719i
$601$	−0.0256568	+	0.0148129i	−0.00104656	+	0.000604232i	−0.500523	−	0.865723i	$-0.666859\pi$
$601$	−0.0256568	+	0.0148129i	−0.00104656	+	0.000604232i	0.499477	+	0.866327i	$0.333526\pi$
$602$	6.13698	+	10.4826i	0.250125	+	0.427239i
$603$	1.47547	−	1.47547i	0.0600857	−	0.0600857i
$604$	19.4154	−	19.4154i	0.790002	−	0.790002i
$605$	0.783370	+	0.209903i	0.0318485	+	0.00853379i
$606$	−18.0915	+	4.84759i	−0.734915	+	0.196920i
$607$		−	26.2199i		−	1.06423i	−0.846671	−	0.532117i	$-0.821397\pi$
$607$		−	26.2199i		−	1.06423i	0.846671	−	0.532117i	$-0.178603\pi$
$608$	19.0822	+	33.0513i	0.773883	+	1.34041i
$609$	2.46921	−	9.44335i	0.100058	−	0.382664i
$610$		−	0.927591i		−	0.0375571i
$611$	−0.678562	−	1.34960i	−0.0274517	−	0.0545989i
$612$	−1.52192	−	0.878680i	−0.0615199	−	0.0355185i
$613$	19.1804	−	19.1804i	0.774690	−	0.774690i	−0.204232	−	0.978922i	$-0.565470\pi$
$613$	19.1804	−	19.1804i	0.774690	−	0.774690i	0.978922	+	0.204232i	$0.0654697\pi$
$614$	13.3117	+	7.68554i	0.537218	+	0.310163i
$615$	0.0345434	−	0.0598309i	0.00139292	−	0.00241261i
$616$	1.40507	+	1.38817i	0.0566117	+	0.0559310i
$617$	−10.0810	−	37.6229i	−0.405847	−	1.51464i	−0.802488	−	0.596668i	$-0.796491\pi$
$617$	−10.0810	−	37.6229i	−0.405847	−	1.51464i	0.396641	−	0.917974i	$-0.370176\pi$
$618$	3.85358	+	3.85358i	0.155014	+	0.155014i
$619$	7.64126	+	28.5176i	0.307128	+	1.14622i	0.931098	+	0.364769i	$0.118852\pi$
$619$	7.64126	+	28.5176i	0.307128	+	1.14622i	−0.623970	+	0.781448i	$0.714481\pi$
$620$	−0.497195	−	0.861167i	−0.0199678	−	0.0345853i
$621$	3.68514	−	6.38284i	0.147879	−	0.256135i
$622$	45.9528	+	12.3130i	1.84254	+	0.493707i
$623$	−10.2322	−	5.82531i	−0.409943	−	0.233386i
$624$	−3.52446	−	17.0299i	−0.141091	−	0.681742i
$625$	12.4554	+	21.5734i	0.498216	+	0.862936i
$626$	29.5135	+	29.5135i	1.17960	+	1.17960i
$627$	−3.92191			−0.156626
$628$	−3.59932			−0.143628
$629$	4.02916	+	4.02916i	0.160653	+	0.160653i
$630$	−0.265237	+	0.268465i	−0.0105673	+	0.0106959i
$631$	36.5172	−	9.78475i	1.45373	−	0.389525i	0.556408	−	0.830909i	$-0.312179\pi$
$631$	36.5172	−	9.78475i	1.45373	−	0.389525i	0.897318	+	0.441384i	$0.145512\pi$
$632$	1.81132	−	6.75995i	0.0720506	−	0.268896i
$633$	−10.9344	+	6.31298i	−0.434604	+	0.250919i
$634$		−	20.1056i		−	0.798497i
$635$	−0.275599	−	1.02855i	−0.0109368	−	0.0408167i
$636$	16.3426			0.648028
$637$	−18.6420	+	17.0140i	−0.738622	+	0.674120i
$638$	−4.75111			−0.188098
$639$	−0.119329	−	0.445340i	−0.00472056	−	0.0176174i
$640$			0.633709i			0.0250496i
$641$	3.59169	−	2.07367i	0.141863	−	0.0819049i	−0.427388	−	0.904068i	$-0.640566\pi$
$641$	3.59169	−	2.07367i	0.141863	−	0.0819049i	0.569252	+	0.822163i	$0.307233\pi$
$642$	8.06149	−	30.0859i	0.318162	−	1.18740i
$643$	−39.3048	+	10.5317i	−1.55003	+	0.415330i	−0.929491	−	0.368845i	$-0.879753\pi$
$643$	−39.3048	+	10.5317i	−1.55003	+	0.415330i	−0.620541	+	0.784174i	$0.713087\pi$
$644$	19.4652	−	19.7021i	0.767036	−	0.776372i
$645$	−0.135388	−	0.135388i	−0.00533088	−	0.00533088i
$646$	−12.8879			−0.507069
$647$	35.6971			1.40340			0.701698	−	0.712474i	$-0.252426\pi$
$647$	35.6971			1.40340			0.701698	+	0.712474i	$0.252426\pi$
$648$	−0.758075	−	0.758075i	−0.0297800	−	0.0297800i
$649$	−4.87654	−	8.44641i	−0.191421	−	0.331551i
$650$	−29.7521	+	14.9590i	−1.16697	+	0.586740i
$651$	−20.8713	−	11.8823i	−0.818010	−	0.465704i
$652$	−19.4518	−	5.21211i	−0.761793	−	0.204122i
$653$	−17.6824	+	30.6268i	−0.691966	+	1.19852i	0.279226	+	0.960225i	$0.409922\pi$
$653$	−17.6824	+	30.6268i	−0.691966	+	1.19852i	−0.971193	+	0.238296i	$0.923411\pi$
$654$	−10.4316	−	18.0681i	−0.407910	−	0.706520i
$655$	−0.285171	−	1.06427i	−0.0111426	−	0.0415846i
$656$	3.05505	+	3.05505i	0.119280	+	0.119280i
$657$	1.31625	+	4.91231i	0.0513518	+	0.191647i
$658$	−1.45831	−	1.44078i	−0.0568510	−	0.0561674i
$659$	−1.02268	+	1.77133i	−0.0398378	+	0.0690011i	−0.885257	−	0.465103i	$-0.846017\pi$
$659$	−1.02268	+	1.77133i	−0.0398378	+	0.0690011i	0.845419	+	0.534104i	$0.179351\pi$
$660$	0.0660616	+	0.0381407i	0.00257144	+	0.00148462i
$661$	14.5874	−	14.5874i	0.567384	−	0.567384i	−0.364011	−	0.931395i	$-0.618593\pi$
$661$	14.5874	−	14.5874i	0.567384	−	0.567384i	0.931395	+	0.364011i	$0.118593\pi$
$662$	34.6728	+	20.0184i	1.34760	+	0.778036i
$663$	4.23537	+	1.40131i	0.164488	+	0.0544225i
$664$		−	14.4676i		−	0.561453i
$665$	−0.290739	+	1.11191i	−0.0112744	+	0.0431182i
$666$	−4.25848	−	7.37591i	−0.165013	−	0.285811i
$667$		−	27.1908i		−	1.05283i
$668$	−4.43271	+	1.18774i	−0.171507	+	0.0459551i
$669$	19.5043	+	5.22617i	0.754082	+	0.202056i
$670$	−0.210461	+	0.210461i	−0.00813083	+	0.00813083i
$671$	−3.20202	+	3.20202i	−0.123613	+	0.123613i
$672$	−9.05777	−	15.4716i	−0.349411	−	0.596831i
$673$	17.7096	−	10.2246i	0.682655	−	0.394131i	−0.118199	−	0.992990i	$-0.537712\pi$
$673$	17.7096	−	10.2246i	0.682655	−	0.394131i	0.800855	+	0.598859i	$0.204379\pi$
$674$	28.0443	−	7.51446i	1.08023	−	0.289446i
$675$	−2.49703	+	4.32498i	−0.0961106	+	0.166468i
$676$	−7.32864	−	16.9473i	−0.281871	−	0.651821i
$677$	−38.1123	+	22.0042i	−1.46478	+	0.845689i	−0.999226	−	0.0393333i	$-0.987477\pi$
$677$	−38.1123	+	22.0042i	−1.46478	+	0.845689i	−0.465549	+	0.885022i	$0.654143\pi$
$678$	5.45623	−	20.3629i	0.209545	−	0.782034i
$679$	21.2133	−	37.2612i	0.814091	−	1.42995i
$680$	−0.0886022	−	0.0511545i	−0.00339774	−	0.00196169i
$681$	12.3394	+	3.30632i	0.472845	+	0.126698i
$682$	−3.02564	+	11.2918i	−0.115858	+	0.432387i
$683$	−1.25566	+	4.68619i	−0.0480465	+	0.179312i	−0.985779	−	0.168046i	$-0.946254\pi$
$683$	−1.25566	+	4.68619i	−0.0480465	+	0.179312i	0.937733	+	0.347358i	$0.112921\pi$
$684$	7.72682	+	2.07040i	0.295443	+	0.0791636i
$685$	−0.282194	−	0.162925i	−0.0107821	−	0.00622504i
$686$	−16.5847	+	29.9686i	−0.633206	+	1.14421i
$687$	3.18409	−	11.8832i	0.121481	−	0.453371i
$688$	10.3696	−	5.98690i	0.395338	−	0.228248i
$689$	−40.6259	+	8.40782i	−1.54772	+	0.320312i
$690$	−0.525649	+	0.910452i	−0.0200111	+	0.0346603i
$691$	44.7917	−	12.0019i	1.70396	−	0.456574i	0.730026	−	0.683420i	$-0.239508\pi$
$691$	44.7917	−	12.0019i	1.70396	−	0.456574i	0.973931	+	0.226846i	$0.0728413\pi$
$692$	0.785200	−	0.453336i	0.0298488	−	0.0172332i
$693$	1.84232	−	0.0111443i	0.0699841	−	0.000423335i
$694$	26.4517	−	26.4517i	1.00409	−	1.00409i
$695$	0.536916	−	0.536916i	0.0203664	−	0.0203664i
$696$	−3.82040	−	1.02367i	−0.144812	−	0.0388022i
$697$	−1.07055	+	0.286852i	−0.0405499	+	0.0108653i
$698$		−	42.8400i		−	1.62152i
$699$	−0.0208505	−	0.0361142i	−0.000788640	−	0.00136596i
$700$	−13.1895	+	13.3500i	−0.498516	+	0.504583i
$701$		−	16.7923i		−	0.634236i	−0.948386	−	0.317118i	$-0.897285\pi$
$701$		−	16.7923i		−	0.634236i	0.948386	−	0.317118i	$-0.102715\pi$
$702$	−5.57281	−	3.66167i	−0.210332	−	0.138201i
$703$	−22.4624	−	12.9687i	−0.847186	−	0.489123i
$704$	−1.42065	+	1.42065i	−0.0535429	+	0.0535429i
$705$	0.0279842	+	0.0161567i	0.00105395	+	0.000608496i
$706$	11.8431	−	20.5128i	0.445720	−	0.772009i
$707$	18.8316	−	19.0608i	0.708236	−	0.716857i
$708$	5.14869	+	19.2152i	0.193500	+	0.722151i
$709$	−4.86028	−	4.86028i	−0.182532	−	0.182532i	0.609926	−	0.792458i	$-0.291199\pi$
$709$	−4.86028	−	4.86028i	−0.182532	−	0.182532i	−0.792458	+	0.609926i	$0.791199\pi$
$710$	0.0170211	+	0.0635235i	0.000638789	+	0.00238399i
$711$	−3.26395	−	5.65332i	−0.122408	−	0.212016i
$712$	−2.38550	+	4.13180i	−0.0894003	+	0.154846i
$713$	−64.6235	−	17.3158i	−2.42017	−	0.648483i
$714$	6.05412	−	0.0366215i	0.226570	−	0.00137053i
$715$	−0.183844	−	0.0608265i	−0.00687536	−	0.00227478i
$716$	5.55877	+	9.62808i	0.207741	+	0.359818i
$717$	−1.45212	−	1.45212i	−0.0542303	−	0.0542303i
$718$	−49.7939			−1.85829
$719$	37.5443			1.40016			0.700082	−	0.714062i	$-0.253147\pi$
$719$	37.5443			1.40016			0.700082	+	0.714062i	$0.253147\pi$
$720$	0.263052	+	0.263052i	0.00980339	+	0.00980339i
$721$	−7.54284	−	1.97227i	−0.280910	−	0.0734513i
$722$	22.7247	−	6.08906i	0.845725	−	0.226611i
$723$	−0.714928	+	2.66815i	−0.0265885	+	0.0992295i
$724$	9.52129	−	5.49712i	0.353856	−	0.204299i
$725$			18.4243i			0.684261i
$726$	5.03318	+	18.7841i	0.186799	+	0.697143i
$727$	23.0678			0.855536			0.427768	−	0.903888i	$-0.359300\pi$
$727$	23.0678			0.855536			0.427768	+	0.903888i	$0.359300\pi$
$728$	6.84840	+	7.59544i	0.253819	+	0.281506i
$729$	−1.00000			−0.0370370
$730$	−0.187750	−	0.700694i	−0.00694895	−	0.0259338i
$731$			3.07157i			0.113606i
$732$	7.99887	−	4.61815i	0.295647	−	0.170692i
$733$	−4.69555	+	17.5240i	−0.173434	+	0.647265i	0.823379	+	0.567492i	$0.192086\pi$
$733$	−4.69555	+	17.5240i	−0.173434	+	0.647265i	−0.996813	+	0.0797732i	$0.974580\pi$
$734$	−44.3891	+	11.8940i	−1.63843	+	0.439017i
$735$	0.133416	−	0.523149i	0.00492111	−	0.0192966i
$736$	−35.3145	−	35.3145i	−1.30171	−	1.30171i
$737$	1.45301			0.0535224
$738$	1.65660			0.0609803
$739$	7.28549	+	7.28549i	0.268001	+	0.268001i	0.828294	−	0.560293i	$-0.189312\pi$
$739$	7.28549	+	7.28549i	0.268001	+	0.268001i	−0.560293	+	0.828294i	$0.689312\pi$
$740$	0.252241	+	0.436894i	0.00927256	+	0.0160606i
$741$	−20.2731	−	1.17154i	−0.744753	−	0.0430374i
$742$	−48.5874	+	28.4452i	−1.78370	+	1.04426i
$743$	−37.7291	−	10.1095i	−1.38415	−	0.370881i	−0.511520	−	0.859271i	$-0.670918\pi$
$743$	−37.7291	−	10.1095i	−1.38415	−	0.370881i	−0.872625	+	0.488390i	$0.837584\pi$
$744$	−4.86587	+	8.42793i	−0.178391	+	0.308983i
$745$	−0.135386	−	0.234495i	−0.00496015	−	0.00859123i
$746$	16.0324	+	59.8335i	0.586986	+	2.19066i
$747$	−9.54235	−	9.54235i	−0.349136	−	0.349136i
$748$	−0.316725	−	1.18203i	−0.0115806	−	0.0432194i
$749$	11.7928	+	42.9701i	0.430901	+	1.57009i
$750$	0.712778	−	1.23457i	0.0260270	−	0.0450800i
$751$	−27.7372	−	16.0141i	−1.01214	−	0.584362i	−0.100326	−	0.994955i	$-0.531989\pi$
$751$	−27.7372	−	16.0141i	−1.01214	−	0.584362i	−0.911819	+	0.410593i	$0.865322\pi$
$752$	−1.42891	+	1.42891i	−0.0521071	+	0.0521071i
$753$	20.6631	+	11.9299i	0.753006	+	0.434748i
$754$	−24.5594	−	1.41923i	−0.894402	−	0.0516853i
$755$		−	1.49103i		−	0.0542643i
$756$	−3.63557	−	0.950615i	−0.132224	−	0.0345735i
$757$	3.10808	+	5.38335i	0.112965	+	0.195661i	0.916964	−	0.398969i	$-0.130632\pi$
$757$	3.10808	+	5.38335i	0.112965	+	0.195661i	−0.803999	+	0.594630i	$0.797299\pi$
$758$		−	5.05173i		−	0.183487i
$759$	4.95738	−	1.32833i	0.179941	−	0.0482152i
$760$	0.449836	+	0.120533i	0.0163173	+	0.00437220i
$761$	19.7740	−	19.7740i	0.716807	−	0.716807i	−0.251143	−	0.967950i	$-0.580806\pi$
$761$	19.7740	−	19.7740i	0.716807	−	0.716807i	0.967950	+	0.251143i	$0.0808063\pi$
$762$	18.0546	−	18.0546i	0.654051	−	0.654051i
$763$	25.9380	+	14.7668i	0.939017	+	0.534595i
$764$	−16.6631	+	9.62047i	−0.602851	+	0.348056i
$765$	−0.0921787	+	0.0246992i	−0.00333273	+	0.000893002i
$766$	−19.1870	+	33.2329i	−0.693256	+	1.20075i
$767$	−22.6847	−	45.1179i	−0.819098	−	1.62911i
$768$	−18.1570	+	10.4829i	−0.655184	+	0.378270i
$769$	7.77893	−	29.0314i	0.280515	−	1.04690i	−0.671539	−	0.740969i	$-0.734366\pi$
$769$	7.77893	−	29.0314i	0.280515	−	1.04690i	0.952054	−	0.305929i	$-0.0989669\pi$
$770$	−0.262790	+	0.00158962i	−0.00947028	+	5.72860e-5i
$771$	−5.81730	−	3.35862i	−0.209505	−	0.120958i
$772$	21.3058	+	5.70886i	0.766811	+	0.205466i
$773$	3.42855	−	12.7955i	0.123316	−	0.460222i	−0.876458	−	0.481479i	$-0.840100\pi$
$773$	3.42855	−	12.7955i	0.123316	−	0.460222i	0.999774	+	0.0212563i	$0.00676659\pi$
$774$	1.18826	−	4.43466i	0.0427113	−	0.159401i
$775$	43.7885	+	11.7331i	1.57293	+	0.421465i
$776$	−15.0463	−	8.68696i	−0.540129	−	0.311844i
$777$	10.5886	+	6.02822i	0.379863	+	0.216261i
$778$	−16.1972	+	60.4489i	−0.580699	+	2.16720i
$779$	4.36907	−	2.52248i	0.156538	−	0.0903774i
$780$	0.330092	+	0.216890i	0.0118192	+	0.00776591i
$781$	0.160525	−	0.278038i	0.00574404	−	0.00994897i
$782$	16.2906	−	4.36506i	0.582551	−	0.156094i
$783$	−3.19498	+	1.84462i	−0.114179	+	0.0659215i
$784$	29.4420	+	16.5267i	1.05150	+	0.590240i
$785$	−0.138207	+	0.138207i	−0.00493283	+	0.00493283i
$786$	18.6818	−	18.6818i	0.666356	−	0.666356i
$787$	−30.3966	−	8.14474i	−1.08352	−	0.290329i	−0.327483	−	0.944857i	$-0.606201\pi$
$787$	−30.3966	−	8.14474i	−1.08352	−	0.290329i	−0.756037	+	0.654528i	$0.772867\pi$
$788$	−18.3965	+	4.92932i	−0.655347	+	0.175600i
$789$		−	15.4647i		−	0.550558i
$790$	0.465570	+	0.806392i	0.0165643	+	0.0286901i
$791$	7.98171	+	29.0833i	0.283797	+	1.03408i
$792$		−	0.746538i		−	0.0265271i
$793$	−17.5084	+	15.5954i	−0.621740	+	0.553808i
$794$	6.67654	+	3.85470i	0.236942	+	0.136798i
$795$	0.627528	−	0.627528i	0.0222561	−	0.0222561i
$796$	4.04217	+	2.33375i	0.143271	+	0.0827175i
$797$	7.62445	−	13.2059i	0.270072	−	0.467778i	−0.698808	−	0.715309i	$-0.746286\pi$
$797$	7.62445	−	13.2059i	0.270072	−	0.467778i	0.968880	+	0.247531i	$0.0796192\pi$
$798$	−26.5758	+	7.29355i	−0.940774	+	0.258189i
$799$	−0.134167	−	0.500719i	−0.00474649	−	0.0177142i
$800$	23.9289	+	23.9289i	0.846013	+	0.846013i
$801$	1.15180	+	4.29859i	0.0406970	+	0.151883i
$802$	35.2072	+	60.9806i	1.24321	+	2.15330i
$803$	−1.77067	+	3.06688i	−0.0624854	+	0.108228i
$804$	−2.86268	−	0.767052i	−0.100959	−	0.0270518i
$805$	−0.00909745	−	1.50395i	−0.000320643	−	0.0530074i
$806$	−19.0132	+	57.4659i	−0.669710	+	2.02415i
$807$	0.175446	+	0.303881i	0.00617599	+	0.0106971i
$808$	−7.67731	−	7.67731i	−0.270087	−	0.270087i
$809$	−46.7243			−1.64274			−0.821370	−	0.570396i	$-0.806790\pi$
$809$	−46.7243			−1.64274			−0.821370	+	0.570396i	$0.806790\pi$
$810$	0.142640			0.00501187
$811$	−15.5284	−	15.5284i	−0.545275	−	0.545275i	0.379796	−	0.925070i	$-0.375994\pi$
$811$	−15.5284	−	15.5284i	−0.545275	−	0.545275i	−0.925070	+	0.379796i	$0.875994\pi$
$812$	−13.3691	+	3.66906i	−0.469163	+	0.128759i
$813$	−9.64484	+	2.58433i	−0.338259	+	0.0906363i
$814$	1.53499	−	5.72867i	0.0538014	−	0.200790i
$815$	−0.947051	+	0.546780i	−0.0331738	+	0.0191529i
$816$		−	5.96794i		−	0.208920i
$817$	−3.61871	−	13.5052i	−0.126603	−	0.472487i
$818$	35.3437			1.23576
$819$	9.52666	+	0.492723i	0.332888	+	0.0172171i
$820$	−0.0981247			−0.00342666
$821$	−7.62091	−	28.4416i	−0.265972	−	0.992620i	−0.961653	−	0.274269i	$-0.911564\pi$
$821$	−7.62091	−	28.4416i	−0.265972	−	0.992620i	0.695681	−	0.718351i	$-0.255103\pi$
$822$		−	7.81340i		−	0.272524i
$823$	−3.82300	+	2.20721i	−0.133261	+	0.0769385i	−0.565149	−	0.824989i	$-0.691181\pi$
$823$	−3.82300	+	2.20721i	−0.133261	+	0.0769385i	0.431887	+	0.901928i	$0.357848\pi$
$824$	−0.817655	+	3.05153i	−0.0284844	+	0.106305i
$825$	−3.35909	+	0.900065i	−0.116948	+	0.0313362i
$826$	−48.7523	−	48.1660i	−1.69631	−	1.67591i
$827$	16.4939	+	16.4939i	0.573550	+	0.573550i	0.933119	−	0.359568i	$-0.117076\pi$
$827$	16.4939	+	16.4939i	0.573550	+	0.573550i	−0.359568	+	0.933119i	$0.617076\pi$
$828$	−10.4681			−0.363791
$829$	−41.7742			−1.45088			−0.725439	−	0.688287i	$-0.758363\pi$
$829$	−41.7742			−1.45088			−0.725439	+	0.688287i	$0.758363\pi$
$830$	1.36112	+	1.36112i	0.0472453	+	0.0472453i
$831$	4.84750	+	8.39611i	0.168158	+	0.291258i
$832$	−7.76801	+	6.91927i	−0.269307	+	0.239883i
$833$	−7.44783	+	4.42099i	−0.258052	+	0.153178i
$834$	17.5869	+	4.71239i	0.608983	+	0.163177i
$835$	−0.124601	+	0.215815i	−0.00431200	+	0.00746860i
$836$	2.78517	+	4.82406i	0.0963272	+	0.166844i
$837$	2.34941	+	8.76813i	0.0812076	+	0.303071i
$838$	−44.1392	−	44.1392i	−1.52476	−	1.52476i
$839$	−7.04543	−	26.2939i	−0.243235	−	0.907766i	−0.974262	−	0.225418i	$-0.927625\pi$
$839$	−7.04543	−	26.2939i	−0.243235	−	0.907766i	0.731027	−	0.682349i	$-0.239041\pi$
$840$	−0.211653	−	0.0553423i	−0.00730273	−	0.00190949i
$841$	7.69472	−	13.3277i	0.265335	−	0.459574i
$842$	−45.8800	−	26.4888i	−1.58113	−	0.912865i
$843$	−22.0548	+	22.0548i	−0.759607	+	0.759607i
$844$	15.5303	+	8.96641i	0.534574	+	0.308636i
$845$	−0.932154	−	0.369341i	−0.0320671	−	0.0127057i
$846$			0.774829i			0.0266392i
$847$	−19.7906	−	19.5526i	−0.680013	−	0.671835i
$848$	27.7496	+	48.0637i	0.952924	+	1.65051i
$849$		−	4.15060i		−	0.142448i
$850$	−11.0384	+	2.95773i	−0.378615	+	0.101449i
$851$	32.7853	+	8.78480i	1.12387	+	0.301139i
$852$	−0.463038	+	0.463038i	−0.0158634	+	0.0158634i
$853$	−26.4347	+	26.4347i	−0.905108	+	0.905108i	−0.995872	−	0.0907640i	$-0.971069\pi$
$853$	−26.4347	+	26.4347i	−0.905108	+	0.905108i	0.0907640	+	0.995872i	$0.471069\pi$
$854$	−15.7429	+	27.6524i	−0.538710	+	0.946245i
$855$	0.376196	−	0.217197i	0.0128656	−	0.00742797i
$856$	17.4404	−	4.67315i	0.596101	−	0.159725i
$857$	−2.88406	+	4.99534i	−0.0985177	+	0.170638i	−0.911071	−	0.412249i	$-0.864743\pi$
$857$	−2.88406	+	4.99534i	−0.0985177	+	0.170638i	0.812554	+	0.582887i	$0.198077\pi$
$858$	−0.941028	−	4.54697i	−0.0321262	−	0.155231i
$859$	−30.2787	+	17.4814i	−1.03310	+	0.596459i	−0.917870	−	0.396880i	$-0.870093\pi$
$859$	−30.2787	+	17.4814i	−1.03310	+	0.596459i	−0.115227	+	0.993339i	$0.536760\pi$
$860$	−0.0703840	+	0.262677i	−0.00240007	+	0.00895720i
$861$	−2.04521	+	1.19735i	−0.0697005	+	0.0408057i
$862$	−28.0237	−	16.1795i	−0.954490	−	0.551075i
$863$	36.8965	+	9.88638i	1.25597	+	0.336536i	0.824640	−	0.565658i	$-0.191378\pi$
$863$	36.8965	+	9.88638i	1.25597	+	0.336536i	0.431330	+	0.902194i	$0.358044\pi$
$864$	−1.75380	+	6.54527i	−0.0596655	+	0.222675i
$865$	0.0127430	−	0.0475575i	0.000433275	−	0.00161701i
$866$	24.1014	+	6.45794i	0.818998	+	0.219450i
$867$	−13.3966	−	7.73454i	−0.454973	−	0.262679i
$868$	0.206335	+	34.1105i	0.00700348	+	1.15779i
$869$	1.17651	−	4.39078i	0.0399102	−	0.148947i
$870$	0.455734	−	0.263118i	0.0154508	−	0.00892053i
$871$	7.51091	+	0.434037i	0.254497	+	0.0147068i
$872$	6.04710	−	10.4739i	0.204781	−	0.354690i
$873$	−15.6536	+	4.19437i	−0.529795	+	0.141958i
$874$	−66.4845	+	38.3849i	−2.24887	+	1.29839i
$875$	0.0123361	+	2.03935i	0.000417036	+	0.0689427i
$876$	5.10753	−	5.10753i	0.172567	−	0.172567i
$877$	−2.87691	+	2.87691i	−0.0971464	+	0.0971464i	−0.754010	−	0.656863i	$-0.771883\pi$
$877$	−2.87691	+	2.87691i	−0.0971464	+	0.0971464i	0.656863	+	0.754010i	$0.271883\pi$
$878$	42.4049	+	11.3624i	1.43110	+	0.383461i
$879$	−15.3945	+	4.12495i	−0.519244	+	0.139131i
$880$			0.259049i			0.00873254i
$881$	−6.14545	−	10.6442i	−0.207045	−	0.358613i	0.743737	−	0.668472i	$-0.233051\pi$
$881$	−6.14545	−	10.6442i	−0.207045	−	0.358613i	−0.950782	+	0.309859i	$0.899718\pi$
$882$	12.4633	−	3.50167i	0.419661	−	0.117907i
$883$			23.2623i			0.782840i	0.920212	+	0.391420i	$0.128016\pi$
$883$			23.2623i			0.782840i	−0.920212	+	0.391420i	$0.871984\pi$
$884$	−1.28412	−	6.20477i	−0.0431897	−	0.208689i
$885$	0.935529	+	0.540128i	0.0314475	+	0.0181562i
$886$	47.0214	−	47.0214i	1.57971	−	1.57971i
$887$	−17.4754	−	10.0894i	−0.586766	−	0.338770i	0.177051	−	0.984202i	$-0.443344\pi$
$887$	−17.4754	−	10.0894i	−0.586766	−	0.338770i	−0.763818	+	0.645432i	$0.776677\pi$
$888$	2.46859	−	4.27573i	0.0828405	−	0.143484i
$889$	−9.24042	+	35.3394i	−0.309914	+	1.18525i
$890$	−0.164294	−	0.613152i	−0.00550714	−	0.0205529i
$891$	−0.492391	−	0.492391i	−0.0164957	−	0.0164957i
$892$	−7.42280	−	27.7023i	−0.248534	−	0.927540i
$893$	1.17982	+	2.04351i	0.0394812	+	0.0683835i
$894$	3.24635	−	5.62285i	0.108574	−	0.188056i
$895$	0.583148	+	0.156254i	0.0194925	+	0.00522299i
$896$	10.7552	−	18.8915i	0.359305	−	0.631120i
$897$	26.0225	−	5.38553i	0.868865	−	0.179818i
$898$	−26.0599	−	45.1370i	−0.869629	−	1.50624i
$899$	23.6802	+	23.6802i	0.789781	+	0.789781i
$900$	7.09311			0.236437
$901$	−14.2369			−0.474300
$902$	0.815695	+	0.815695i	0.0271597	+	0.0271597i
$903$	1.73827	+	6.33380i	0.0578459	+	0.210776i
$904$	11.8041	−	3.16291i	0.392600	−	0.105197i
$905$	0.154521	−	0.576680i	0.00513645	−	0.0191695i
$906$	30.9629	−	17.8764i	1.02867	−	0.593905i
$907$			6.53808i			0.217094i	0.994091	+	0.108547i	$0.0346197\pi$
$907$			6.53808i			0.217094i	−0.994091	+	0.108547i	$0.965380\pi$
$908$	−4.69601	−	17.5257i	−0.155842	−	0.581612i
$909$	−10.1274			−0.335904
$910$	−1.35889	−	0.0702822i	−0.0450466	−	0.00232983i
$911$	−58.2713			−1.93061			−0.965307	−	0.261119i	$-0.915909\pi$
$911$	−58.2713			−1.93061			−0.965307	+	0.261119i	$0.915909\pi$
$912$	7.03100	+	26.2401i	0.232820	+	0.868895i
$913$		−	9.39713i		−	0.311000i
$914$	0.200120	−	0.115539i	0.00661939	−	0.00382171i
$915$	0.129814	−	0.484471i	0.00429150	−	0.0160161i
$916$	−16.8778	+	4.52240i	−0.557659	+	0.149424i
$917$	−9.56138	+	36.5669i	−0.315745	+	1.20755i
$918$	−1.61806	−	1.61806i	−0.0534040	−	0.0534040i
$919$	8.66370			0.285789			0.142894	−	0.989738i	$-0.454359\pi$
$919$	8.66370			0.285789			0.142894	+	0.989738i	$0.454359\pi$
$920$	−0.609425			−0.0200922
$921$	5.87701	+	5.87701i	0.193654	+	0.193654i
$922$	−16.0972	−	27.8812i	−0.530134	−	0.918218i
$923$	0.912840	−	1.38928i	0.0300465	−	0.0457287i
$924$	−1.32204	−	2.25819i	−0.0434921	−	0.0742891i
$925$	−22.2151	−	5.95253i	−0.730429	−	0.195718i
$926$	−1.39976	+	2.42446i	−0.0459991	+	0.0796728i
$927$	1.47339	+	2.55198i	0.0483924	+	0.0838180i
$928$	6.47020	+	24.1471i	0.212395	+	0.792668i
$929$	−1.16213	−	1.16213i	−0.0381283	−	0.0381283i	0.687786	−	0.725914i	$-0.258583\pi$
$929$	−1.16213	−	1.16213i	−0.0381283	−	0.0381283i	−0.725914	+	0.687786i	$0.758583\pi$
$930$	−0.335121	−	1.25069i	−0.0109891	−	0.0410117i
$931$	27.5384	−	28.2129i	0.902534	−	0.924640i
$932$	−0.0296143	+	0.0512934i	−0.000970048	+	0.00168017i
$933$	22.2775	+	12.8619i	0.729331	+	0.421080i
$934$	38.2687	−	38.2687i	1.25219	−	1.25219i
$935$	−0.0575496	−	0.0332263i	−0.00188207	−	0.00108661i
$936$	0.223002	−	3.85900i	0.00728905	−	0.126135i
$937$		−	60.7537i		−	1.98474i	−0.123306	−	0.992369i	$-0.539350\pi$
$937$		−	60.7537i		−	1.98474i	0.123306	−	0.992369i	$-0.460650\pi$
$938$	9.84596	−	2.70215i	0.321482	−	0.0882285i
$939$	11.2842	+	19.5449i	0.368248	+	0.637823i
$940$		−	0.0458951i		−	0.00149693i
$941$	0.134756	−	0.0361077i	0.00439291	−	0.00117708i	−0.256622	−	0.966512i	$-0.582610\pi$
$941$	0.134756	−	0.0361077i	0.00439291	−	0.00117708i	0.261015	+	0.965335i	$0.415943\pi$
$942$	−4.52703	−	1.21301i	−0.147499	−	0.0395221i
$943$	−4.66825	+	4.66825i	−0.152019	+	0.152019i
$944$	−47.7694	+	47.7694i	−1.55476	+	1.55476i
$945$	−0.176101	+	0.103097i	−0.00572857	+	0.00335376i
$946$	2.76868	−	1.59850i	0.0900174	−	0.0519716i
$947$	20.0262	−	5.36602i	0.650765	−	0.174372i	0.0816905	−	0.996658i	$-0.473968\pi$
$947$	20.0262	−	5.36602i	0.650765	−	0.174372i	0.569075	+	0.822286i	$0.307301\pi$
$948$	−4.63582	+	8.02948i	−0.150564	+	0.260785i
$949$	−10.0690	+	15.3244i	−0.326855	+	0.497451i
$950$	45.0495	−	26.0093i	1.46160	−	0.843854i
$951$	2.81372	−	10.5010i	0.0912412	−	0.340517i
$952$	1.77313	+	3.02870i	0.0574676	+	0.0981608i
$953$	1.70711	+	0.985598i	0.0552986	+	0.0319266i	0.527394	−	0.849621i	$-0.323169\pi$
$953$	1.70711	+	0.985598i	0.0552986	+	0.0319266i	−0.472096	+	0.881547i	$0.656502\pi$
$954$	20.5549	+	5.50767i	0.665489	+	0.178317i
$955$	−0.270426	+	1.00924i	−0.00875077	+	0.0326583i
$956$	−0.754912	+	2.81737i	−0.0244156	+	0.0911203i
$957$	−2.48145	−	0.664904i	−0.0802140	−	0.0214933i
$958$	−5.47192	−	3.15922i	−0.176790	−	0.102070i
$959$	5.64735	+	9.64628i	0.182363	+	0.311495i
$960$	0.0575950	−	0.214947i	0.00185887	−	0.00693740i
$961$	44.5136	−	25.7000i	1.43592	−	0.829031i
$962$	9.64591	−	29.1541i	0.310997	−	0.939965i
$963$	8.42085	−	14.5853i	0.271358	−	0.470006i
$964$	3.78960	−	1.01542i	0.122055	−	0.0327045i
$965$	1.03731	−	0.598893i	0.0333923	−	0.0192790i
$966$	31.1221	−	18.2202i	1.00134	−	0.586227i
$967$	20.9186	−	20.9186i	0.672696	−	0.672696i	−0.285641	−	0.958337i	$-0.592206\pi$
$967$	20.9186	−	20.9186i	0.672696	−	0.672696i	0.958337	+	0.285641i	$0.0922064\pi$
$968$	−7.97123	+	7.97123i	−0.256205	+	0.256205i
$969$	−6.73123	−	1.80363i	−0.216238	−	0.0579408i
$970$	2.23284	−	0.598287i	0.0716921	−	0.0192098i
$971$		−	54.6862i		−	1.75496i	−0.479611	−	0.877481i	$-0.659222\pi$
$971$		−	54.6862i		−	1.75496i	0.479611	−	0.877481i	$-0.340778\pi$
$972$	0.710156	+	1.23003i	0.0227783	+	0.0394531i
$973$	−25.1184	+	6.89357i	−0.805259	+	0.220998i
$974$		−	11.4429i		−	0.366654i
$975$	−17.6327	+	3.64920i	−0.564697	+	0.116868i
$976$	27.1639	+	15.6831i	0.869496	+	0.502004i
$977$	−39.0119	+	39.0119i	−1.24810	+	1.24810i	−0.291542	+	0.956558i	$0.594168\pi$
$977$	−39.0119	+	39.0119i	−1.24810	+	1.24810i	−0.956558	+	0.291542i	$0.905832\pi$
$978$	−22.7089	−	13.1110i	−0.726152	−	0.419244i
$979$	−1.54945	+	2.68372i	−0.0495206	+	0.0857721i
$980$	−0.738233	+	0.207413i	−0.0235820	+	0.00662556i
$981$	−2.91975	−	10.8967i	−0.0932206	−	0.347904i
$982$	50.0153	+	50.0153i	1.59605	+	1.59605i
$983$	−4.97596	−	18.5705i	−0.158708	−	0.592308i	−0.998759	−	0.0498003i	$-0.984142\pi$
$983$	−4.97596	−	18.5705i	−0.158708	−	0.592308i	0.840051	−	0.542508i	$-0.182525\pi$
$984$	0.480156	+	0.831654i	0.0153068	+	0.0265122i
$985$	−0.517115	+	0.895669i	−0.0164766	+	0.0285384i
$986$	−8.15439	−	2.18496i	−0.259689	−	0.0695834i
$987$	−0.560029	−	0.956589i	−0.0178259	−	0.0304486i
$988$	12.9561	+	25.7685i	0.412188	+	0.819805i
$989$	9.14824	+	15.8452i	0.290897	+	0.503849i
$990$	0.0702348	+	0.0702348i	0.00223221	+	0.00223221i
$991$	2.20534			0.0700551			0.0350275	−	0.999386i	$-0.488848\pi$
$991$	2.20534			0.0700551			0.0350275	+	0.999386i	$0.488848\pi$
$992$	61.5102			1.95295
$993$	15.3077	+	15.3077i	0.485776	+	0.485776i
$994$	0.570692	−	2.18258i	0.0181012	−	0.0692271i
$995$	0.244824	−	0.0656003i	0.00776143	−	0.00207967i
$996$	−4.96079	+	18.5139i	−0.157189	+	0.586636i
$997$	−0.398520	+	0.230085i	−0.0126212	+	0.00728688i	−0.506297	−	0.862359i	$-0.668986\pi$
$997$	−0.398520	+	0.230085i	−0.0126212	+	0.00728688i	0.493676	+	0.869646i	$0.335653\pi$
$998$		−	7.65670i		−	0.242369i
$999$	−1.19192	−	4.44832i	−0.0377108	−	0.140739i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.cg.a.262.2	yes	36
3.2	odd	2		819.2.gh.c.262.8		36
7.5	odd	6		273.2.bt.a.145.2	✓	36
13.7	odd	12		273.2.bt.a.241.2	yes	36
21.5	even	6		819.2.et.c.145.8		36
39.20	even	12		819.2.et.c.514.8		36
91.33	even	12	inner	273.2.cg.a.124.2	yes	36
273.215	odd	12		819.2.gh.c.397.8		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bt.a.145.2	✓	36	7.5	odd	6
273.2.bt.a.241.2	yes	36	13.7	odd	12
273.2.cg.a.124.2	yes	36	91.33	even	12	inner
273.2.cg.a.262.2	yes	36	1.1	even	1	trivial
819.2.et.c.145.8		36	21.5	even	6
819.2.et.c.514.8		36	39.20	even	12
819.2.gh.c.262.8		36	3.2	odd	2
819.2.gh.c.397.8		36	273.215	odd	12

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.cg (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.478662 - 1.78639i) q^{2} -1.00000i q^{3} +(-1.23003 + 0.710156i) q^{4} +(-0.0199621 + 0.0744995i) q^{5} +(-1.78639 + 0.478662i) q^{6} +(1.85948 - 1.88211i) q^{7} +(-0.758075 - 0.758075i) q^{8} -1.00000 q^{9} +O(q^{10})\)	\(q+(-0.478662 - 1.78639i) q^{2} -1.00000i q^{3} +(-1.23003 + 0.710156i) q^{4} +(-0.0199621 + 0.0744995i) q^{5} +(-1.78639 + 0.478662i) q^{6} +(1.85948 - 1.88211i) q^{7} +(-0.758075 - 0.758075i) q^{8} -1.00000 q^{9} +0.142640 q^{10} +(-0.492391 - 0.492391i) q^{11} +(0.710156 + 1.23003i) q^{12} +(-2.39818 - 2.69235i) q^{13} +(-4.25225 - 2.42086i) q^{14} +(0.0744995 + 0.0199621i) q^{15} +(-2.41167 + 4.17713i) q^{16} +(-0.618653 - 1.07154i) q^{17} +(0.478662 + 1.78639i) q^{18} +(3.98252 + 3.98252i) q^{19} +(-0.0283524 - 0.105813i) q^{20} +(-1.88211 - 1.85948i) q^{21} +(-0.643914 + 1.11529i) q^{22} +(-6.38284 - 3.68514i) q^{23} +(-0.758075 + 0.758075i) q^{24} +(4.32498 + 2.49703i) q^{25} +(-3.66167 + 5.57281i) q^{26} +1.00000i q^{27} +(-0.950615 + 3.63557i) q^{28} +(1.84462 + 3.19498i) q^{29} -0.142640i q^{30} +(8.76813 - 2.34941i) q^{31} +(6.54527 + 1.75380i) q^{32} +(-0.492391 + 0.492391i) q^{33} +(-1.61806 + 1.61806i) q^{34} +(0.103097 + 0.176101i) q^{35} +(1.23003 - 0.710156i) q^{36} +(-4.44832 + 1.19192i) q^{37} +(5.20806 - 9.02063i) q^{38} +(-2.69235 + 2.39818i) q^{39} +(0.0716090 - 0.0413434i) q^{40} +(0.231836 - 0.865225i) q^{41} +(-2.42086 + 4.25225i) q^{42} +(-2.14988 - 1.24124i) q^{43} +(0.955327 + 0.255979i) q^{44} +(0.0199621 - 0.0744995i) q^{45} +(-3.52787 + 13.1662i) q^{46} +(0.404685 + 0.108435i) q^{47} +(4.17713 + 2.41167i) q^{48} +(-0.0846832 - 6.99949i) q^{49} +(2.39046 - 8.92133i) q^{50} +(-1.07154 + 0.618653i) q^{51} +(4.86181 + 1.60858i) q^{52} +(5.75319 - 9.96481i) q^{53} +(1.78639 - 0.478662i) q^{54} +(0.0465120 - 0.0268537i) q^{55} +(-2.83640 + 0.0171575i) q^{56} +(3.98252 - 3.98252i) q^{57} +(4.82454 - 4.82454i) q^{58} +(13.5288 + 3.62504i) q^{59} +(-0.105813 + 0.0283524i) q^{60} -6.50300i q^{61} +(-8.39395 - 14.5387i) q^{62} +(-1.85948 + 1.88211i) q^{63} -2.88522i q^{64} +(0.248451 - 0.124918i) q^{65} +(1.11529 + 0.643914i) q^{66} +(-1.47547 + 1.47547i) q^{67} +(1.52192 + 0.878680i) q^{68} +(-3.68514 + 6.38284i) q^{69} +(0.265237 - 0.268465i) q^{70} +(0.119329 + 0.445340i) q^{71} +(0.758075 + 0.758075i) q^{72} +(-1.31625 - 4.91231i) q^{73} +(4.25848 + 7.37591i) q^{74} +(2.49703 - 4.32498i) q^{75} +(-7.72682 - 2.07040i) q^{76} +(-1.84232 + 0.0111443i) q^{77} +(5.57281 + 3.66167i) q^{78} +(3.26395 + 5.65332i) q^{79} +(-0.263052 - 0.263052i) q^{80} +1.00000 q^{81} -1.65660 q^{82} +(9.54235 + 9.54235i) q^{83} +(3.63557 + 0.950615i) q^{84} +(0.0921787 - 0.0246992i) q^{85} +(-1.18826 + 4.43466i) q^{86} +(3.19498 - 1.84462i) q^{87} +0.746538i q^{88} +(-1.15180 - 4.29859i) q^{89} -0.142640 q^{90} +(-9.52666 - 0.492723i) q^{91} +10.4681 q^{92} +(-2.34941 - 8.76813i) q^{93} -0.774829i q^{94} +(-0.376196 + 0.217197i) q^{95} +(1.75380 - 6.54527i) q^{96} +(15.6536 - 4.19437i) q^{97} +(-12.4633 + 3.50167i) q^{98} +(0.492391 + 0.492391i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 36 q + 4 q^{7} - 36 q^{9}+O(q^{10}) \) 36 * q + 4 * q^7 - 36 * q^9	\( 36 q + 4 q^{7} - 36 q^{9} + 4 q^{11} + 16 q^{12} + 42 q^{14} + 12 q^{16} - 4 q^{17} - 24 q^{19} - 14 q^{20} + 4 q^{22} - 12 q^{23} - 24 q^{25} - 28 q^{26} - 12 q^{28} + 8 q^{29} - 6 q^{31} + 46 q^{32} + 4 q^{33} + 24 q^{34} - 10 q^{35} - 20 q^{37} + 8 q^{38} - 2 q^{39} - 30 q^{40} - 34 q^{41} + 24 q^{42} + 30 q^{43} - 32 q^{44} - 26 q^{46} + 4 q^{47} - 24 q^{48} - 20 q^{50} + 24 q^{51} + 98 q^{52} - 8 q^{53} + 30 q^{55} - 10 q^{56} - 24 q^{57} - 96 q^{58} - 14 q^{59} - 46 q^{60} + 48 q^{62} - 4 q^{63} + 28 q^{65} + 18 q^{66} + 62 q^{67} - 54 q^{68} - 4 q^{69} - 148 q^{70} + 42 q^{71} - 52 q^{73} - 20 q^{74} - 10 q^{75} - 12 q^{76} - 24 q^{77} - 16 q^{78} + 76 q^{80} + 36 q^{81} + 48 q^{82} + 60 q^{83} + 50 q^{84} + 2 q^{85} + 12 q^{86} + 18 q^{87} + 50 q^{89} + 40 q^{91} - 100 q^{92} - 6 q^{93} + 24 q^{95} - 4 q^{96} - 36 q^{97} + 16 q^{98} - 4 q^{99}+O(q^{100}) \) 36 * q + 4 * q^7 - 36 * q^9 + 4 * q^11 + 16 * q^12 + 42 * q^14 + 12 * q^16 - 4 * q^17 - 24 * q^19 - 14 * q^20 + 4 * q^22 - 12 * q^23 - 24 * q^25 - 28 * q^26 - 12 * q^28 + 8 * q^29 - 6 * q^31 + 46 * q^32 + 4 * q^33 + 24 * q^34 - 10 * q^35 - 20 * q^37 + 8 * q^38 - 2 * q^39 - 30 * q^40 - 34 * q^41 + 24 * q^42 + 30 * q^43 - 32 * q^44 - 26 * q^46 + 4 * q^47 - 24 * q^48 - 20 * q^50 + 24 * q^51 + 98 * q^52 - 8 * q^53 + 30 * q^55 - 10 * q^56 - 24 * q^57 - 96 * q^58 - 14 * q^59 - 46 * q^60 + 48 * q^62 - 4 * q^63 + 28 * q^65 + 18 * q^66 + 62 * q^67 - 54 * q^68 - 4 * q^69 - 148 * q^70 + 42 * q^71 - 52 * q^73 - 20 * q^74 - 10 * q^75 - 12 * q^76 - 24 * q^77 - 16 * q^78 + 76 * q^80 + 36 * q^81 + 48 * q^82 + 60 * q^83 + 50 * q^84 + 2 * q^85 + 12 * q^86 + 18 * q^87 + 50 * q^89 + 40 * q^91 - 100 * q^92 - 6 * q^93 + 24 * q^95 - 4 * q^96 - 36 * q^97 + 16 * q^98 - 4 * q^99

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