LMFDB - Embedded newform 770.2.br.b.19.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [770,2,Mod(19,770)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(770, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 25, 9]))

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

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

chi := DirichletCharacter("770.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 770 = 2 \cdot 5 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	770.br (of order $30$, degree $8$, 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:	$6.14848095564$
Analytic rank:	$0$
Dimension:	$192$
Relative dimension:	$24$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			19.19
Character	$\chi$	$=$	770.19
Dual form			770.2.br.b.689.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.104528 - 0.994522i) q^{2} +(1.38819 - 1.54174i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(-1.25777 + 1.84879i) q^{5} +(-1.67840 - 1.21943i) q^{6} +(-1.06120 + 2.42360i) q^{7} +(0.309017 + 0.951057i) q^{8} +(-0.136310 - 1.29690i) q^{9} +O(q^{10})$	\(q+(-0.104528 - 0.994522i) q^{2} +(1.38819 - 1.54174i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(-1.25777 + 1.84879i) q^{5} +(-1.67840 - 1.21943i) q^{6} +(-1.06120 + 2.42360i) q^{7} +(0.309017 + 0.951057i) q^{8} +(-0.136310 - 1.29690i) q^{9} +(1.97013 + 1.05763i) q^{10} +(3.00575 + 1.40195i) q^{11} +(-1.03731 + 1.79667i) q^{12} +(-0.112756 - 0.155195i) q^{13} +(2.52125 + 0.802053i) q^{14} +(1.10433 + 4.50563i) q^{15} +(0.913545 - 0.406737i) q^{16} +(-2.35258 - 0.247266i) q^{17} +(-1.27555 + 0.271126i) q^{18} +(5.10527 + 1.08516i) q^{19} +(0.845901 - 2.06989i) q^{20} +(2.26342 + 5.00052i) q^{21} +(1.08008 - 3.13583i) q^{22} +(2.09135 + 1.20744i) q^{23} +(1.89526 + 0.843824i) q^{24} +(-1.83603 - 4.65070i) q^{25} +(-0.142558 + 0.128360i) q^{26} +(2.84649 + 2.06810i) q^{27} +(0.534117 - 2.59128i) q^{28} +(5.20911 + 1.69254i) q^{29} +(4.36551 - 1.56924i) q^{30} +(-1.88394 + 4.23139i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(6.33400 - 2.68792i) q^{33} +2.36554i q^{34} +(-3.14598 - 5.01027i) q^{35} +(0.402972 + 1.24022i) q^{36} +(-1.26316 + 1.13735i) q^{37} +(0.545568 - 5.19073i) q^{38} +(-0.395797 - 0.0415999i) q^{39} +(-2.14697 - 0.624904i) q^{40} +(1.81627 + 5.58989i) q^{41} +(4.73654 - 2.77372i) q^{42} +11.0378 q^{43} +(-3.23155 - 0.746382i) q^{44} +(2.56914 + 1.37920i) q^{45} +(0.982222 - 2.20611i) q^{46} +(-0.432682 - 0.0919694i) q^{47} +(0.641093 - 1.97308i) q^{48} +(-4.74770 - 5.14386i) q^{49} +(-4.43331 + 2.31210i) q^{50} +(-3.64706 + 3.28383i) q^{51} +(0.142558 + 0.128360i) q^{52} +(-0.901076 + 2.02385i) q^{53} +(1.75923 - 3.04708i) q^{54} +(-6.37245 + 3.79366i) q^{55} +(-2.63291 - 0.260329i) q^{56} +(8.76012 - 6.36460i) q^{57} +(1.13877 - 5.35749i) q^{58} +(-1.02966 - 4.84416i) q^{59} +(-2.01697 - 4.17757i) q^{60} +(-12.3337 + 5.49133i) q^{61} +(4.40513 + 1.43131i) q^{62} +(3.28783 + 1.04591i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(0.428743 - 0.0132617i) q^{65} +(-3.33528 - 6.01834i) q^{66} +(-7.38807 + 4.26550i) q^{67} +(2.35258 - 0.247266i) q^{68} +(4.76476 - 1.54816i) q^{69} +(-4.65398 + 3.65246i) q^{70} +(-6.70594 - 4.87215i) q^{71} +(1.19131 - 0.530403i) q^{72} +(-2.20773 - 10.3866i) q^{73} +(1.26316 + 1.13735i) q^{74} +(-9.71894 - 3.62538i) q^{75} -5.21932 q^{76} +(-6.58748 + 5.79700i) q^{77} +0.397977i q^{78} +(-9.70518 + 1.02006i) q^{79} +(-0.397061 + 2.20053i) q^{80} +(10.9666 - 2.33102i) q^{81} +(5.36942 - 2.39062i) q^{82} +(-0.100002 + 0.137641i) q^{83} +(-3.25363 - 4.42066i) q^{84} +(3.41615 - 4.03842i) q^{85} +(-1.15377 - 10.9774i) q^{86} +(9.84071 - 5.68153i) q^{87} +(-0.404504 + 3.29187i) q^{88} +(3.36093 + 1.94043i) q^{89} +(1.10309 - 2.69923i) q^{90} +(0.495787 - 0.108582i) q^{91} +(-2.29669 - 0.746240i) q^{92} +(3.90845 + 8.77852i) q^{93} +(-0.0462380 + 0.439925i) q^{94} +(-8.42748 + 8.07367i) q^{95} +(-2.02928 - 0.431338i) q^{96} +(-0.277270 + 0.201448i) q^{97} +(-4.61942 + 5.25937i) q^{98} +(1.40848 - 4.08927i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 192 q + 24 q^{2} + 24 q^{4} + 6 q^{5} - 6 q^{7} - 48 q^{8} + 18 q^{9}+O(q^{10}) $ 192 * q + 24 * q^2 + 24 * q^4 + 6 * q^5 - 6 * q^7 - 48 * q^8 + 18 * q^9	$ 192 q + 24 q^{2} + 24 q^{4} + 6 q^{5} - 6 q^{7} - 48 q^{8} + 18 q^{9} - 6 q^{10} - q^{11} + 3 q^{14} + 6 q^{15} + 24 q^{16} + 28 q^{18} + 2 q^{22} - 30 q^{25} + 6 q^{26} - 2 q^{28} - 3 q^{30} + 18 q^{31} - 96 q^{32} - 24 q^{33} + 13 q^{35} - 56 q^{36} + 15 q^{38} - 10 q^{39} + 6 q^{40} - 24 q^{43} - 11 q^{44} - 6 q^{45} - 4 q^{49} - 20 q^{50} - 30 q^{51} - 6 q^{52} + 10 q^{53} + 4 q^{56} + 4 q^{57} + 12 q^{60} - 30 q^{61} - 63 q^{63} - 48 q^{64} + 20 q^{65} - 96 q^{66} + 42 q^{70} - 40 q^{71} + 18 q^{72} - 42 q^{73} + 15 q^{75} - 19 q^{77} + 24 q^{80} - 18 q^{81} + 90 q^{82} + 50 q^{85} - 18 q^{86} + 72 q^{87} + 4 q^{88} - 60 q^{89} + q^{91} + 50 q^{92} - 130 q^{93} + 75 q^{94} + 31 q^{95} - 42 q^{98} - 22 q^{99}+O(q^{100}) $ 192 * q + 24 * q^2 + 24 * q^4 + 6 * q^5 - 6 * q^7 - 48 * q^8 + 18 * q^9 - 6 * q^10 - q^11 + 3 * q^14 + 6 * q^15 + 24 * q^16 + 28 * q^18 + 2 * q^22 - 30 * q^25 + 6 * q^26 - 2 * q^28 - 3 * q^30 + 18 * q^31 - 96 * q^32 - 24 * q^33 + 13 * q^35 - 56 * q^36 + 15 * q^38 - 10 * q^39 + 6 * q^40 - 24 * q^43 - 11 * q^44 - 6 * q^45 - 4 * q^49 - 20 * q^50 - 30 * q^51 - 6 * q^52 + 10 * q^53 + 4 * q^56 + 4 * q^57 + 12 * q^60 - 30 * q^61 - 63 * q^63 - 48 * q^64 + 20 * q^65 - 96 * q^66 + 42 * q^70 - 40 * q^71 + 18 * q^72 - 42 * q^73 + 15 * q^75 - 19 * q^77 + 24 * q^80 - 18 * q^81 + 90 * q^82 + 50 * q^85 - 18 * q^86 + 72 * q^87 + 4 * q^88 - 60 * q^89 + q^91 + 50 * q^92 - 130 * q^93 + 75 * q^94 + 31 * q^95 - 42 * q^98 - 22 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/770\mathbb{Z}\right)^\times$.

$n$	$211$	$617$	$661$
$\chi(n)$	$e\left(\frac{3}{10}\right)$	$-1$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−0.104528	−	0.994522i	−0.0739128	−	0.703233i
$2$	−0.104528	−	0.994522i	−0.0739128	−	0.703233i
$3$	1.38819	−	1.54174i	0.801473	−	0.890126i	−0.194397	−	0.980923i	$-0.562275\pi$
$3$	1.38819	−	1.54174i	0.801473	−	0.890126i	0.995869	+	0.0907974i	$0.0289416\pi$
$4$	−0.978148	+	0.207912i	−0.489074	+	0.103956i
$5$	−1.25777	+	1.84879i	−0.562492	+	0.826803i
$5$	−1.25777	+	1.84879i	−0.562492	+	0.826803i
$6$	−1.67840	−	1.21943i	−0.685205	−	0.497831i
$7$	−1.06120	+	2.42360i	−0.401097	+	0.916036i
$7$	−1.06120	+	2.42360i	−0.401097	+	0.916036i
$8$	0.309017	+	0.951057i	0.109254	+	0.336249i
$9$	−0.136310	−	1.29690i	−0.0454366	−	0.432301i
$10$	1.97013	+	1.05763i	0.623010	+	0.334452i
$11$	3.00575	+	1.40195i	0.906268	+	0.422703i
$11$	3.00575	+	1.40195i	0.906268	+	0.422703i
$12$	−1.03731	+	1.79667i	−0.299446	+	0.518655i
$13$	−0.112756	−	0.155195i	−0.0312728	−	0.0430433i	0.793094	−	0.609099i	$-0.208469\pi$
$13$	−0.112756	−	0.155195i	−0.0312728	−	0.0430433i	−0.824367	+	0.566056i	$0.808469\pi$
$14$	2.52125	+	0.802053i	0.673833	+	0.214358i
$15$	1.10433	+	4.50563i	0.285136	+	1.16335i
$16$	0.913545	−	0.406737i	0.228386	−	0.101684i
$17$	−2.35258	−	0.247266i	−0.570585	−	0.0599709i	−0.185157	−	0.982709i	$-0.559279\pi$
$17$	−2.35258	−	0.247266i	−0.570585	−	0.0599709i	−0.385428	+	0.922738i	$0.625946\pi$
$18$	−1.27555	+	0.271126i	−0.300650	+	0.0639051i
$19$	5.10527	+	1.08516i	1.17123	+	0.248952i	0.752146	−	0.658996i	$-0.229019\pi$
$19$	5.10527	+	1.08516i	1.17123	+	0.248952i	0.419082	+	0.907948i	$0.362352\pi$
$20$	0.845901	−	2.06989i	0.189149	−	0.462842i
$21$	2.26342	+	5.00052i	0.493919	+	1.09120i
$22$	1.08008	−	3.13583i	0.230274	−	0.668561i
$23$	2.09135	+	1.20744i	0.436077	+	0.251769i	0.701932	−	0.712244i	$-0.252321\pi$
$23$	2.09135	+	1.20744i	0.436077	+	0.251769i	−0.265855	+	0.964013i	$0.585654\pi$
$24$	1.89526	+	0.843824i	0.386868	+	0.172245i
$25$	−1.83603	−	4.65070i	−0.367205	−	0.930140i
$26$	−0.142558	+	0.128360i	−0.0279580	+	0.0251735i
$27$	2.84649	+	2.06810i	0.547808	+	0.398006i
$28$	0.534117	−	2.59128i	0.100939	−	0.489705i
$29$	5.20911	+	1.69254i	0.967307	+	0.314297i	0.749729	−	0.661746i	$-0.230184\pi$
$29$	5.20911	+	1.69254i	0.967307	+	0.314297i	0.217579	+	0.976043i	$0.430184\pi$
$30$	4.36551	−	1.56924i	0.797030	−	0.286504i
$31$	−1.88394	+	4.23139i	−0.338365	+	0.759980i	0.661584	+	0.749871i	$0.269884\pi$
$31$	−1.88394	+	4.23139i	−0.338365	+	0.759980i	−0.999949	+	0.0101088i	$0.996782\pi$
$32$	−0.500000	−	0.866025i	−0.0883883	−	0.153093i
$33$	6.33400	−	2.68792i	1.10261	−	0.467907i
$34$			2.36554i			0.405687i
$35$	−3.14598	−	5.01027i	−0.531767	−	0.846891i
$36$	0.402972	+	1.24022i	0.0671621	+	0.206704i
$37$	−1.26316	+	1.13735i	−0.207662	+	0.186980i	−0.766398	−	0.642366i	$-0.777953\pi$
$37$	−1.26316	+	1.13735i	−0.207662	+	0.186980i	0.558736	+	0.829345i	$0.311286\pi$
$38$	0.545568	−	5.19073i	0.0885028	−	0.842047i
$39$	−0.395797	−	0.0415999i	−0.0633782	−	0.00666132i
$40$	−2.14697	−	0.624904i	−0.339466	−	0.0988060i
$41$	1.81627	+	5.58989i	0.283653	+	0.872995i	0.986799	+	0.161949i	$0.0517781\pi$
$41$	1.81627	+	5.58989i	0.283653	+	0.872995i	−0.703146	+	0.711046i	$0.748222\pi$
$42$	4.73654	−	2.77372i	0.730864	−	0.427994i
$43$	11.0378			1.68325			0.841626	−	0.540061i	$-0.181599\pi$
$43$	11.0378			1.68325			0.841626	+	0.540061i	$0.181599\pi$
$44$	−3.23155	−	0.746382i	−0.487174	−	0.112521i
$45$	2.56914	+	1.37920i	0.382985	+	0.205599i
$46$	0.982222	−	2.20611i	0.144821	−	0.325273i
$47$	−0.432682	−	0.0919694i	−0.0631132	−	0.0134151i	0.176247	−	0.984346i	$-0.443604\pi$
$47$	−0.432682	−	0.0919694i	−0.0631132	−	0.0134151i	−0.239360	+	0.970931i	$0.576938\pi$
$48$	0.641093	−	1.97308i	0.0925338	−	0.284790i
$49$	−4.74770	−	5.14386i	−0.678243	−	0.734838i
$50$	−4.43331	+	2.31210i	−0.626964	+	0.326980i
$51$	−3.64706	+	3.28383i	−0.510690	+	0.459827i
$52$	0.142558	+	0.128360i	0.0197693	+	0.0178004i
$53$	−0.901076	+	2.02385i	−0.123772	+	0.277997i	−0.964795	−	0.263002i	$-0.915287\pi$
$53$	−0.901076	+	2.02385i	−0.123772	+	0.277997i	0.841023	+	0.541000i	$0.181954\pi$
$54$	1.75923	−	3.04708i	0.239401	−	0.414654i
$55$	−6.37245	+	3.79366i	−0.859261	+	0.511538i
$56$	−2.63291	−	0.260329i	−0.351838	−	0.0347879i
$57$	8.76012	−	6.36460i	1.16031	−	0.843012i
$58$	1.13877	−	5.35749i	0.149528	−	0.703473i
$59$	−1.02966	−	4.84416i	−0.134050	−	0.630656i	−0.992952	−	0.118516i	$-0.962186\pi$
$59$	−1.02966	−	4.84416i	−0.134050	−	0.630656i	0.858902	−	0.512140i	$-0.171147\pi$
$60$	−2.01697	−	4.17757i	−0.260389	−	0.539322i
$61$	−12.3337	+	5.49133i	−1.57917	+	0.703093i	−0.994158	−	0.107930i	$-0.965578\pi$
$61$	−12.3337	+	5.49133i	−1.57917	+	0.703093i	−0.585014	+	0.811023i	$0.698911\pi$
$62$	4.40513	+	1.43131i	0.559453	+	0.181777i
$63$	3.28783	+	1.04591i	0.414227	+	0.131773i
$64$	−0.809017	+	0.587785i	−0.101127	+	0.0734732i
$65$	0.428743	−	0.0132617i	0.0531790	−	0.00164491i
$66$	−3.33528	−	6.01834i	−0.410545	−	0.740806i
$67$	−7.38807	+	4.26550i	−0.902596	+	0.521114i	−0.878042	−	0.478584i	$-0.841150\pi$
$67$	−7.38807	+	4.26550i	−0.902596	+	0.521114i	−0.0245546	+	0.999698i	$0.507817\pi$
$68$	2.35258	−	0.247266i	0.285293	−	0.0299855i
$69$	4.76476	−	1.54816i	0.573610	−	0.186377i
$70$	−4.65398	+	3.65246i	−0.556257	+	0.436552i
$71$	−6.70594	−	4.87215i	−0.795849	−	0.578218i	0.113845	−	0.993499i	$-0.463683\pi$
$71$	−6.70594	−	4.87215i	−0.795849	−	0.578218i	−0.909693	+	0.415281i	$0.863683\pi$
$72$	1.19131	−	0.530403i	0.140397	−	0.0625086i
$73$	−2.20773	−	10.3866i	−0.258395	−	1.21565i	−0.895565	−	0.444931i	$-0.853228\pi$
$73$	−2.20773	−	10.3866i	−0.258395	−	1.21565i	0.637170	−	0.770724i	$-0.280105\pi$
$74$	1.26316	+	1.13735i	0.146839	+	0.132215i
$75$	−9.71894	−	3.62538i	−1.12225	−	0.418623i
$76$	−5.21932			−0.598697
$77$	−6.58748	+	5.79700i	−0.750713	+	0.660629i
$78$			0.397977i			0.0450620i
$79$	−9.70518	+	1.02006i	−1.09192	+	0.114765i	−0.633328	−	0.773883i	$-0.718312\pi$
$79$	−9.70518	+	1.02006i	−1.09192	+	0.114765i	−0.458589	+	0.888648i	$0.651645\pi$
$80$	−0.397061	+	2.20053i	−0.0443928	+	0.246027i
$81$	10.9666	−	2.33102i	1.21851	−	0.259003i
$82$	5.36942	−	2.39062i	0.592953	−	0.264000i
$83$	−0.100002	+	0.137641i	−0.0109766	+	0.0151080i	−0.814470	−	0.580206i	$-0.802972\pi$
$83$	−0.100002	+	0.137641i	−0.0109766	+	0.0151080i	0.803493	+	0.595314i	$0.202972\pi$
$84$	−3.25363	−	4.42066i	−0.355000	−	0.482334i
$85$	3.41615	−	4.03842i	0.370534	−	0.438028i
$86$	−1.15377	−	10.9774i	−0.124414	−	1.18372i
$87$	9.84071	−	5.68153i	1.05503	−	0.609124i
$88$	−0.404504	+	3.29187i	−0.0431203	+	0.350914i
$89$	3.36093	+	1.94043i	0.356258	+	0.205686i	0.667438	−	0.744665i	$-0.267391\pi$
$89$	3.36093	+	1.94043i	0.356258	+	0.205686i	−0.311180	+	0.950351i	$0.600724\pi$
$90$	1.10309	−	2.69923i	0.116276	−	0.284524i
$91$	0.495787	−	0.108582i	0.0519726	−	0.0113825i
$92$	−2.29669	−	0.746240i	−0.239447	−	0.0778009i
$93$	3.90845	+	8.77852i	0.405287	+	0.910290i
$94$	−0.0462380	+	0.439925i	−0.00476909	+	0.0453748i
$95$	−8.42748	+	8.07367i	−0.864641	+	0.828341i
$96$	−2.02928	−	0.431338i	−0.207113	−	0.0440232i
$97$	−0.277270	+	0.201448i	−0.0281525	+	0.0204540i	−0.601773	−	0.798668i	$-0.705539\pi$
$97$	−0.277270	+	0.201448i	−0.0281525	+	0.0204540i	0.573620	+	0.819122i	$0.305539\pi$
$98$	−4.61942	+	5.25937i	−0.466631	+	0.531277i
$99$	1.40848	−	4.08927i	0.141557	−	0.410987i
$100$	2.76284	+	4.16734i	0.276284	+	0.416734i
$101$	14.0840	+	6.27059i	1.40141	+	0.623947i	0.961677	−	0.274184i	$-0.0884076\pi$
$101$	14.0840	+	6.27059i	1.40141	+	0.623947i	0.439730	+	0.898130i	$0.355074\pi$
$102$	3.64706	+	3.28383i	0.361112	+	0.325147i
$103$	−9.88633	−	10.9799i	−0.974129	−	1.08188i	−0.996621	−	0.0821329i	$-0.973827\pi$
$103$	−9.88633	−	10.9799i	−0.974129	−	1.08188i	0.0224923	−	0.999747i	$-0.492840\pi$
$104$	0.112756	−	0.155195i	0.0110566	−	0.0152181i
$105$	−12.0918	−	2.10493i	−1.18004	−	0.205420i
$106$	2.10695	+	0.684590i	0.204645	+	0.0664933i
$107$	4.41234	+	0.937873i	0.426557	+	0.0906676i	0.416188	−	0.909279i	$-0.363366\pi$
$107$	4.41234	+	0.937873i	0.426557	+	0.0906676i	0.0103696	+	0.999946i	$0.496699\pi$
$108$	−3.21427	−	1.43109i	−0.309294	−	0.137706i
$109$	13.0232	−	7.51896i	1.24740	−	0.720185i	0.276808	−	0.960925i	$-0.410723\pi$
$109$	13.0232	−	7.51896i	1.24740	−	0.720185i	0.970590	+	0.240740i	$0.0773901\pi$
$110$	4.43898	+	5.94099i	0.423241	+	0.566452i
$111$			3.52633i			0.334705i
$112$	0.0163117	+	2.64570i	0.00154131	+	0.249995i
$113$	−5.64804	+	1.83516i	−0.531323	+	0.172637i	−0.562378	−	0.826880i	$-0.690113\pi$
$113$	−5.64804	+	1.83516i	−0.531323	+	0.172637i	0.0310549	+	0.999518i	$0.490113\pi$
$114$	−7.24542	−	8.04685i	−0.678595	−	0.753657i
$115$	−4.86274	+	2.34778i	−0.453453	+	0.218931i
$116$	−5.44718	−	0.572521i	−0.505758	−	0.0531573i
$117$	−0.185903	+	0.167388i	−0.0171867	+	0.0154750i
$118$	−4.70999	+	1.53037i	−0.433590	+	0.140882i
$119$	3.09584	−	5.43933i	0.283795	−	0.498622i
$120$	−3.94385	+	2.44259i	−0.360023	+	0.222977i
$121$	7.06908	+	8.42782i	0.642644	+	0.766165i
$122$	6.75047	+	11.6922i	0.611159	+	1.05856i
$123$	11.1395	+	4.95963i	1.00442	+	0.447194i
$124$	0.963012	−	4.53061i	0.0864810	−	0.406861i
$125$	10.9075	+	2.45509i	0.975592	+	0.219590i
$126$	0.696513	−	3.37914i	0.0620503	−	0.301038i
$127$	3.76388	+	2.73462i	0.333990	+	0.242658i	0.742122	−	0.670265i	$-0.233820\pi$
$127$	3.76388	+	2.73462i	0.333990	+	0.242658i	−0.408132	+	0.912923i	$0.633820\pi$
$128$	0.669131	+	0.743145i	0.0591433	+	0.0656853i
$129$	15.3226	−	17.0175i	1.34908	−	1.49831i
$130$	−0.0580049	−	0.425008i	−0.00508736	−	0.0372757i
$131$	−0.672630	+	1.16503i	−0.0587680	+	0.101789i	−0.893913	−	0.448241i	$-0.852051\pi$
$131$	−0.672630	+	1.16503i	−0.0587680	+	0.101789i	0.835145	+	0.550030i	$0.185384\pi$
$132$	−5.63674	+	3.94610i	−0.490615	+	0.343464i
$133$	−8.04771	+	11.2216i	−0.697825	+	0.973033i
$134$	5.01440	+	6.90173i	0.433178	+	0.596219i
$135$	−7.40371	+	2.66137i	−0.637210	+	0.229054i
$136$	−0.491824	−	2.31385i	−0.0421735	−	0.198411i
$137$	9.79994	+	1.03002i	0.837265	+	0.0880001i	0.513449	−	0.858120i	$-0.328367\pi$
$137$	9.79994	+	1.03002i	0.837265	+	0.0880001i	0.323816	+	0.946120i	$0.395034\pi$
$138$	−2.03774	−	4.57683i	−0.173464	−	0.389606i
$139$	2.10231	−	6.47025i	0.178316	−	0.548799i	−0.821454	−	0.570275i	$-0.806837\pi$
$139$	2.10231	−	6.47025i	0.178316	−	0.548799i	0.999769	+	0.0214759i	$0.00683652\pi$
$140$	4.11892	+	4.24670i	0.348113	+	0.358912i
$141$	−0.742439	+	0.539413i	−0.0625246	+	0.0454268i
$142$	−4.14450	+	7.17848i	−0.347799	+	0.602405i
$143$	−0.121340	−	0.624555i	−0.0101470	−	0.0522279i
$144$	−0.652023	−	1.12934i	−0.0543352	−	0.0941114i
$145$	−9.68102	+	7.50170i	−0.803965	+	0.622983i
$146$	−10.0989	+	3.28133i	−0.835790	+	0.271565i
$147$	−14.5212	+	0.179064i	−1.19769	+	0.0147690i
$148$	0.999088	−	1.37513i	0.0821245	−	0.113035i
$149$	−7.08715	−	15.9180i	−0.580602	−	1.30405i	−0.930165	−	0.367141i	$-0.880337\pi$
$149$	−7.08715	−	15.9180i	−0.580602	−	1.30405i	0.349563	−	0.936913i	$-0.386330\pi$
$150$	−2.58961	+	10.0447i	−0.211441	+	0.820142i
$151$	0.0832185	+	0.0749303i	0.00677223	+	0.00609774i	0.672510	−	0.740088i	$-0.265216\pi$
$151$	0.0832185	+	0.0749303i	0.00677223	+	0.00609774i	−0.665738	+	0.746186i	$0.731883\pi$
$152$	0.545568	+	5.19073i	0.0442514	+	0.421024i
$153$			3.08478i			0.249389i
$154$	6.45382	+	5.94544i	0.520064	+	0.479097i
$155$	−5.45338	−	8.80511i	−0.438026	−	0.707244i
$156$	0.395797	−	0.0415999i	0.0316891	−	0.00333066i
$157$	−8.58131	+	9.53051i	−0.684863	+	0.760617i	−0.980890	−	0.194562i	$-0.937671\pi$
$157$	−8.58131	+	9.53051i	−0.684863	+	0.760617i	0.296027	+	0.955179i	$0.404338\pi$
$158$	2.02893	+	9.54539i	0.161413	+	0.759390i
$159$	1.86939	+	4.19872i	0.148252	+	0.332980i
$160$	2.22998	+	0.164868i	0.176296	+	0.0130339i
$161$	−5.14571	+	3.78726i	−0.405538	+	0.298478i
$162$	−3.46458	−	10.6629i	−0.272203	−	0.837754i
$163$	4.49594	−	0.472542i	0.352149	−	0.0370123i	0.0731973	−	0.997317i	$-0.476680\pi$
$163$	4.49594	−	0.472542i	0.352149	−	0.0370123i	0.278952	+	0.960305i	$0.410013\pi$
$164$	−2.93878	−	5.09012i	−0.229480	−	0.397471i
$165$	−2.99733	+	15.0910i	−0.233341	+	1.17483i
$166$	0.147340	+	0.0850667i	0.0114358	+	0.00660246i
$167$	8.20804	+	11.2974i	0.635157	+	0.874219i	0.998346	−	0.0574967i	$-0.0183119\pi$
$167$	8.20804	+	11.2974i	0.635157	+	0.874219i	−0.363188	+	0.931716i	$0.618312\pi$
$168$	−4.05635	+	3.69789i	−0.312954	+	0.285298i
$169$	4.00585	−	12.3287i	0.308142	−	0.948364i
$170$	−4.37338	−	2.97531i	−0.335423	−	0.228196i
$171$	0.711445	−	6.76895i	0.0544056	−	0.517634i
$172$	−10.7966	+	2.29489i	−0.823235	+	0.174984i
$173$	0.253737	−	1.19374i	0.0192913	−	0.0907582i	−0.967449	−	0.253067i	$-0.918561\pi$
$173$	0.253737	−	1.19374i	0.0192913	−	0.0907582i	0.986740	+	0.162309i	$0.0518940\pi$
$174$	−6.67904	−	9.19292i	−0.506337	−	0.696913i
$175$	13.2198	+	0.485533i	0.999326	+	0.0367028i
$176$	3.31611	+	0.0581945i	0.249962	+	0.00438658i
$177$	−8.89780	−	5.13715i	−0.668800	−	0.386132i
$178$	1.57849	−	3.54535i	0.118313	−	0.265735i
$179$	−3.26983	+	3.63151i	−0.244398	+	0.271432i	−0.852846	−	0.522162i	$-0.825126\pi$
$179$	−3.26983	+	3.63151i	−0.244398	+	0.271432i	0.608448	+	0.793594i	$0.291792\pi$
$180$	−2.79975	−	0.814904i	−0.208681	−	0.0607393i
$181$	5.00389	−	6.88727i	0.371937	−	0.511927i	−0.581489	−	0.813554i	$-0.697530\pi$
$181$	5.00389	−	6.88727i	0.371937	−	0.511927i	0.953426	+	0.301627i	$0.0975298\pi$
$182$	−0.159811	−	0.481721i	−0.0118460	−	0.0357076i
$183$	−8.65536	+	26.6385i	−0.639823	+	1.96917i
$184$	−0.502083	+	2.36211i	−0.0370140	+	0.174137i
$185$	−0.513961	−	3.76584i	−0.0377871	−	0.276870i
$186$	8.32189	−	4.80464i	0.610190	−	0.352294i
$187$	−6.72463	−	4.04142i	−0.491753	−	0.295538i
$188$	0.442349			0.0322616
$189$	−8.03295	+	4.70410i	−0.584311	+	0.342173i
$190$	8.91035	+	7.53738i	0.646425	+	0.546819i
$191$	−0.630145	−	0.699847i	−0.0455957	−	0.0506391i	0.719916	−	0.694062i	$-0.244181\pi$
$191$	−0.630145	−	0.699847i	−0.0455957	−	0.0506391i	−0.765511	+	0.643423i	$0.777514\pi$
$192$	−0.216857	+	2.06325i	−0.0156503	+	0.148903i
$193$	2.35947	−	22.4489i	0.169838	−	1.61590i	−0.494983	−	0.868903i	$-0.664826\pi$
$193$	2.35947	−	22.4489i	0.169838	−	1.61590i	0.664822	−	0.747002i	$-0.268508\pi$
$194$	0.229327	+	0.254694i	0.0164648	+	0.0182860i
$195$	0.574731	−	0.679421i	0.0411574	−	0.0486544i
$196$	5.71342	+	4.04436i	0.408102	+	0.288883i
$197$	17.7016			1.26119			0.630594	−	0.776113i	$-0.282811\pi$
$197$	17.7016			1.26119			0.630594	+	0.776113i	$0.282811\pi$
$198$	−4.21409	−	0.973316i	−0.299482	−	0.0691706i
$199$	−2.54083	+	1.46695i	−0.180115	+	0.103989i	−0.587347	−	0.809335i	$-0.699827\pi$
$199$	−2.54083	+	1.46695i	−0.180115	+	0.103989i	0.407232	+	0.913325i	$0.366494\pi$
$200$	3.85571	−	3.18331i	0.272640	−	0.225094i
$201$	−3.67974	+	17.3118i	−0.259549	+	1.22108i
$202$	4.76406	−	14.6623i	0.335198	−	1.03163i
$203$	−9.62997	+	10.8287i	−0.675891	+	0.760025i
$204$	2.88461	−	3.97033i	0.201963	−	0.277979i
$205$	−12.6190	−	3.67291i	−0.881347	−	0.256527i
$206$	−9.88633	+	10.9799i	−0.688813	+	0.765005i
$207$	1.28086	−	2.87686i	0.0890261	−	0.199956i
$208$	−0.166131	−	0.0959157i	−0.0115191	−	0.00665056i
$209$	13.8238	+	10.4190i	0.956214	+	0.720700i
$210$	−0.829466	+	12.2456i	−0.0572386	+	0.845024i
$211$	−12.5899	−	17.3285i	−0.866724	−	1.19294i	−0.979924	−	0.199371i	$-0.936110\pi$
$211$	−12.5899	−	17.3285i	−0.866724	−	1.19294i	0.113200	−	0.993572i	$-0.463890\pi$
$212$	0.460603	−	2.16697i	0.0316344	−	0.148828i
$213$	−16.8207	+	3.57536i	−1.15254	+	0.244979i
$214$	0.471519	−	4.48621i	0.0322324	−	0.306671i
$215$	−13.8830	+	20.4066i	−0.946816	+	1.39172i
$216$	−1.08726	+	3.34625i	−0.0739789	+	0.227684i
$217$	−8.25597	−	9.05627i	−0.560452	−	0.614780i
$218$	−8.83906	−	12.1659i	−0.598657	−	0.823981i
$219$	−19.0781	−	11.0148i	−1.28918	−	0.744310i
$220$	5.44445	−	5.03567i	0.367065	−	0.339505i
$221$	0.226893	+	0.392990i	0.0152624	+	0.0264353i
$222$	3.50702	−	0.368602i	0.235376	−	0.0247390i
$223$	−5.87840	−	18.0919i	−0.393647	−	1.21152i	−0.930010	−	0.367533i	$-0.880202\pi$
$223$	−5.87840	−	18.0919i	−0.393647	−	1.21152i	0.536364	−	0.843987i	$-0.319798\pi$
$224$	2.62950	−	0.292773i	0.175691	−	0.0195617i
$225$	−5.78123	+	3.01508i	−0.385416	+	0.201006i
$226$	2.41549	+	5.42527i	0.160676	+	0.360884i
$227$	−0.877337	−	4.12755i	−0.0582309	−	0.273955i	0.939394	−	0.342840i	$-0.111389\pi$
$227$	−0.877337	−	4.12755i	−0.0582309	−	0.273955i	−0.997625	+	0.0688855i	$0.978056\pi$
$228$	−7.24542	+	8.04685i	−0.479839	+	0.532916i
$229$	−18.3887	+	1.93273i	−1.21516	+	0.127718i	−0.690333	−	0.723492i	$-0.742536\pi$
$229$	−18.3887	+	1.93273i	−1.21516	+	0.127718i	−0.524825	+	0.851210i	$0.675869\pi$
$230$	2.84321	+	4.59069i	0.187476	+	0.302701i
$231$	−0.207200	+	18.2035i	−0.0136328	+	1.19770i
$232$			5.47718i			0.359595i
$233$	1.95549	+	18.6052i	0.128108	+	1.21887i	0.849969	+	0.526832i	$0.176620\pi$
$233$	1.95549	+	18.6052i	0.128108	+	1.21887i	−0.721861	+	0.692038i	$0.756713\pi$
$234$	0.185903	+	0.167388i	0.0121528	+	0.0109425i
$235$	0.714247	−	0.684261i	0.0465923	−	0.0446362i
$236$	2.01431	+	4.52422i	0.131121	+	0.294502i
$237$	−11.9000	+	16.3789i	−0.772987	+	1.06393i
$238$	−5.73313	−	2.51032i	−0.371624	−	0.162720i
$239$	22.1966	−	7.21210i	1.43578	−	0.466512i	0.515199	−	0.857071i	$-0.327718\pi$
$239$	22.1966	−	7.21210i	1.43578	−	0.466512i	0.920578	+	0.390559i	$0.127718\pi$
$240$	2.84146	+	3.66693i	0.183415	+	0.236699i
$241$	10.6910	+	18.5174i	0.688670	+	1.19281i	0.972268	+	0.233868i	$0.0751385\pi$
$241$	10.6910	+	18.5174i	0.688670	+	1.19281i	−0.283598	+	0.958943i	$0.591528\pi$
$242$	7.64273	−	7.91130i	0.491293	−	0.508558i
$243$	6.35222	−	11.0024i	0.407495	−	0.705802i
$244$	10.9225	−	7.93566i	0.699241	−	0.508029i
$245$	15.4814	−	2.30769i	0.989072	−	0.147433i
$246$	3.76806	−	11.5969i	0.240243	−	0.739392i
$247$	−0.407237	−	0.914669i	−0.0259119	−	0.0581990i
$248$	−4.60646	−	0.484158i	−0.292510	−	0.0307441i
$249$	0.0733849	+	0.345249i	0.00465058	+	0.0218793i
$250$	1.30150	−	11.1043i	0.0823142	−	0.702299i
$251$	−7.38031	−	10.1581i	−0.465841	−	0.641175i	0.509866	−	0.860254i	$-0.329695\pi$
$251$	−7.38031	−	10.1581i	−0.465841	−	0.641175i	−0.975707	+	0.219079i	$0.929695\pi$
$252$	−3.43344	−	0.339481i	−0.216286	−	0.0213853i
$253$	4.59331	+	6.56124i	0.288779	+	0.412501i
$254$	2.32620	−	4.02910i	0.145959	−	0.252808i
$255$	−1.48393	−	10.8729i	−0.0929274	−	0.680889i
$256$	0.669131	−	0.743145i	0.0418207	−	0.0464466i
$257$	−15.1385	−	16.8130i	−0.944311	−	1.04876i	−0.998737	−	0.0502462i	$-0.983999\pi$
$257$	−15.1385	−	16.8130i	−0.944311	−	1.04876i	0.0544255	−	0.998518i	$-0.482667\pi$
$258$	−18.5259	−	13.4599i	−1.15337	−	0.837974i
$259$	−1.41603	−	4.26836i	−0.0879877	−	0.265223i
$260$	−0.416617	+	0.102113i	−0.0258375	+	0.00633275i
$261$	1.48501	−	6.98642i	0.0919197	−	0.432448i
$262$	1.22896	+	0.547167i	0.0759252	+	0.0338041i
$263$	12.2004	+	21.1317i	0.752307	+	1.30303i	0.946702	+	0.322111i	$0.104392\pi$
$263$	12.2004	+	21.1317i	0.752307	+	1.30303i	−0.194395	+	0.980923i	$0.562274\pi$
$264$	4.51368	+	5.19338i	0.277798	+	0.319630i
$265$	−2.60832	−	4.21144i	−0.160228	−	0.258707i
$266$	12.0013	+	6.83065i	0.735847	+	0.418814i
$267$	7.65727	−	2.48800i	0.468617	−	0.152263i
$268$	6.33977	−	5.70836i	0.387263	−	0.348693i
$269$	−17.9604	−	1.88771i	−1.09506	−	0.115096i	−0.460272	−	0.887778i	$-0.652248\pi$
$269$	−17.9604	−	1.88771i	−1.09506	−	0.115096i	−0.634793	+	0.772682i	$0.718915\pi$
$270$	3.42069	+	7.08496i	0.208176	+	0.431177i
$271$	−14.9444	−	16.5974i	−0.907808	−	1.00822i	−0.999922	−	0.0124746i	$-0.996029\pi$
$271$	−14.9444	−	16.5974i	−0.907808	−	1.00822i	0.0921141	−	0.995748i	$-0.470638\pi$
$272$	−2.24976	+	0.730993i	−0.136412	+	0.0443229i
$273$	0.520842	−	0.915109i	0.0315228	−	0.0553849i
$274$		−	9.85392i		−	0.595297i
$275$	1.00140	−	16.5529i	0.0603868	−	0.998175i
$276$	−4.33876	+	2.50498i	−0.261163	+	0.150782i
$277$	3.20522	+	1.42706i	0.192583	+	0.0857436i	0.500763	−	0.865585i	$-0.333053\pi$
$277$	3.20522	+	1.42706i	0.192583	+	0.0857436i	−0.308179	+	0.951328i	$0.599720\pi$
$278$	−6.65456	−	1.41447i	−0.399114	−	0.0848342i
$279$	5.74450	+	1.86650i	0.343914	+	0.111744i
$280$	3.79289	−	4.54026i	0.226669	−	0.271332i
$281$	7.48492	−	10.3021i	0.446513	−	0.614572i	−0.525131	−	0.851021i	$-0.675984\pi$
$281$	7.48492	−	10.3021i	0.446513	−	0.614572i	0.971644	+	0.236449i	$0.0759837\pi$
$282$	0.614064	+	0.681988i	0.0365670	+	0.0406118i
$283$	−21.7219	−	19.5585i	−1.29123	−	1.16263i	−0.976989	−	0.213288i	$-0.931583\pi$
$283$	−21.7219	−	19.5585i	−1.29123	−	1.16263i	−0.314242	−	0.949343i	$-0.601750\pi$
$284$	7.57238	+	3.37144i	0.449338	+	0.200058i
$285$	0.748569	+	24.2008i	0.0443414	+	1.43353i
$286$	−0.608450	+	0.185959i	−0.0359784	+	0.0109960i
$287$	−15.4751	−	1.53010i	−0.913467	−	0.0903188i
$288$	−1.05500	+	0.766499i	−0.0621662	+	0.0451664i
$289$	−11.1550	−	2.37107i	−0.656177	−	0.139475i
$290$	8.47255	+	8.84384i	0.497525	+	0.519328i
$291$	−0.0743221	+	0.707128i	−0.00435684	+	0.0414526i
$292$	4.31897	+	9.70057i	0.252749	+	0.567683i
$293$	30.0641	+	9.76841i	1.75636	+	0.570677i	0.996813	−	0.0797739i	$-0.0254198\pi$
$293$	30.0641	+	9.76841i	1.75636	+	0.570677i	0.759549	+	0.650450i	$0.225420\pi$
$294$	1.69597	+	14.4230i	0.0989107	+	0.841164i
$295$	10.2509	+	4.18922i	0.596830	+	0.243906i
$296$	−1.47203	−	0.849875i	−0.0855598	−	0.0493980i
$297$	5.65648	+	10.2068i	0.328222	+	0.592260i
$298$	−15.0900	+	8.71221i	−0.874140	+	0.504685i
$299$	−0.0484229	−	0.460713i	−0.00280037	−	0.0266437i
$300$	10.2603	+	1.52548i	0.592380	+	0.0880734i
$301$	−11.7134	+	26.7513i	−0.675147	+	1.54192i
$302$	0.0658211	−	0.0905950i	0.00378758	−	0.00521315i
$303$	29.2189	−	13.0091i	1.67858	−	0.747352i
$304$	5.10527	−	1.08516i	0.292807	−	0.0622381i
$305$	5.36070	−	29.7093i	0.306953	−	1.70115i
$306$	3.06788	−	0.322447i	0.175379	−	0.0184331i
$307$		−	16.8785i		−	0.963307i	−0.876362	−	0.481653i	$-0.840036\pi$
$307$		−	16.8785i		−	0.963307i	0.876362	−	0.481653i	$-0.159964\pi$
$308$	5.23826	−	7.03993i	0.298478	−	0.401137i
$309$	−30.6523			−1.74375
$310$	−8.18684	+	6.34389i	−0.464981	+	0.360309i
$311$	−22.9841	−	20.6950i	−1.30331	−	1.17350i	−0.973303	−	0.229526i	$-0.926282\pi$
$311$	−22.9841	−	20.6950i	−1.30331	−	1.17350i	−0.330007	−	0.943979i	$-0.607051\pi$
$312$	−0.0827441	−	0.389280i	−0.00468446	−	0.0220387i
$313$	−22.4775	+	10.0076i	−1.27050	+	0.565665i	−0.927554	−	0.373689i	$-0.878093\pi$
$313$	−22.4775	+	10.0076i	−1.27050	+	0.565665i	−0.342950	+	0.939354i	$0.611426\pi$
$314$	10.3753	+	7.53809i	0.585511	+	0.425399i
$315$	−6.06901	+	4.76297i	−0.341950	+	0.268363i
$316$	9.28101	−	3.01558i	0.522098	−	0.169640i
$317$	29.4895	−	3.09947i	1.65630	−	0.174084i	0.770270	−	0.637718i	$-0.220122\pi$
$317$	29.4895	−	3.09947i	1.65630	−	0.174084i	0.886027	+	0.463634i	$0.153455\pi$
$318$	3.98031	−	2.29804i	0.223205	−	0.128867i
$319$	13.2844	+	12.3903i	0.743785	+	0.693722i
$320$	−0.0691320	−	2.23500i	−0.00386460	−	0.124940i
$321$	7.57114	−	5.50075i	0.422580	−	0.307022i
$322$	4.30439	+	4.72164i	0.239874	+	0.263127i
$323$	−11.7422	−	3.81529i	−0.653356	−	0.212288i
$324$	−10.2423	+	4.56017i	−0.569017	+	0.253343i
$325$	−0.514742	+	0.809335i	−0.0285528	+	0.0448938i
$326$	−0.939907	−	4.42191i	−0.0520566	−	0.244907i
$327$	6.48642	−	30.5162i	0.358700	−	1.68755i
$328$	−4.75505	+	3.45474i	−0.262554	+	0.190756i
$329$	0.682061	−	0.951052i	0.0376032	−	0.0524332i
$330$	15.3216	+	1.40347i	0.843429	+	0.0772582i
$331$	11.6896	−	20.2470i	0.642519	−	1.11288i	−0.342349	−	0.939573i	$-0.611223\pi$
$331$	11.6896	−	20.2470i	0.642519	−	1.11288i	0.984869	−	0.173303i	$-0.0554440\pi$
$332$	0.0691995	−	0.155425i	0.00379781	−	0.00853003i
$333$	1.64722	+	1.48316i	0.0902670	+	0.0812768i
$334$	10.3775	−	9.34398i	0.567834	−	0.511280i
$335$	1.40649	−	19.0240i	0.0768446	−	1.03939i
$336$	4.10163	+	3.64759i	0.223762	+	0.198992i
$337$	−6.18259	+	19.0281i	−0.336787	+	1.03652i	0.629048	+	0.777367i	$0.283445\pi$
$337$	−6.18259	+	19.0281i	−0.336787	+	1.03652i	−0.965835	+	0.259158i	$0.916555\pi$
$338$	−12.6799	−	2.69520i	−0.689697	−	0.146600i
$339$	−5.01122	+	11.2554i	−0.272172	+	0.611308i
$340$	−2.50187	+	4.66043i	−0.135683	+	0.252747i
$341$	−11.5948	+	10.0773i	−0.627895	+	0.545718i
$342$	−6.80623			−0.368039
$343$	17.5050	−	6.04786i	0.945179	−	0.326554i
$344$	3.41087	+	10.4976i	0.183902	+	0.565992i
$345$	−3.13075	+	10.7563i	−0.168554	+	0.579098i
$346$	−1.21372	−	0.127567i	−0.0652501	−	0.00685806i
$347$	−1.69689	+	16.1448i	−0.0910937	+	0.866699i	0.849597	+	0.527433i	$0.176845\pi$
$347$	−1.69689	+	16.1448i	−0.0910937	+	0.866699i	−0.940690	+	0.339266i	$0.889821\pi$
$348$	−8.44441	+	7.60338i	−0.452668	+	0.407584i
$349$	−1.30645	−	4.02085i	−0.0699328	−	0.215231i	0.909982	−	0.414648i	$-0.136095\pi$
$349$	−1.30645	−	4.02085i	−0.0699328	−	0.215231i	−0.979915	+	0.199417i	$0.936095\pi$
$350$	−0.898977	−	13.1982i	−0.0480523	−	0.705472i
$351$		−	0.674951i		−	0.0360262i
$352$	−0.288753	−	3.30403i	−0.0153906	−	0.176105i
$353$	8.54617	+	14.8024i	0.454867	+	0.787852i	0.998681	−	0.0513536i	$-0.0163536\pi$
$353$	8.54617	+	14.8024i	0.454867	+	0.787852i	−0.543814	+	0.839206i	$0.683020\pi$
$354$	−4.17893	+	9.38604i	−0.222108	+	0.498862i
$355$	17.4421	−	6.26981i	0.925731	−	0.332767i
$356$	−3.69093	−	1.19925i	−0.195619	−	0.0635604i
$357$	−4.08842	−	12.3238i	−0.216382	−	0.652246i
$358$	3.95341	+	2.87232i	0.208944	+	0.151807i
$359$	16.1448	−	14.5369i	0.852090	−	0.767226i	−0.122204	−	0.992505i	$-0.538996\pi$
$359$	16.1448	−	14.5369i	0.852090	−	0.767226i	0.974294	+	0.225279i	$0.0723295\pi$
$360$	−0.517786	+	2.86960i	−0.0272897	+	0.151241i
$361$	7.52881	+	3.35204i	0.396253	+	0.176423i
$362$	−7.37259	−	4.25657i	−0.387495	−	0.223720i
$363$	22.8068	+	0.800719i	1.19704	+	0.0420268i
$364$	−0.462378	+	0.209289i	−0.0242352	+	0.0109697i
$365$	21.9793	+	8.98228i	1.15045	+	0.470154i
$366$	27.3973	+	5.82347i	1.43208	+	0.304398i
$367$	−1.33102	+	0.282918i	−0.0694789	+	0.0147682i	−0.242520	−	0.970146i	$-0.577974\pi$
$367$	−1.33102	+	0.282918i	−0.0694789	+	0.0147682i	0.173041	+	0.984915i	$0.444641\pi$
$368$	2.40166	+	0.252424i	0.125195	+	0.0131585i
$369$	7.00197	−	3.11748i	0.364508	−	0.162289i
$370$	−3.69149	+	0.904783i	−0.191912	+	0.0470374i
$371$	−3.94879	−	4.33157i	−0.205011	−	0.224884i
$372$	−5.64820	−	7.77408i	−0.292845	−	0.403067i
$373$	1.85928	−	3.22036i	0.0962696	−	0.166744i	−0.813868	−	0.581050i	$-0.802642\pi$
$373$	1.85928	−	3.22036i	0.0962696	−	0.166744i	0.910138	+	0.414306i	$0.135976\pi$
$374$	−3.31637	+	7.11023i	−0.171485	+	0.367661i
$375$	18.9268	−	13.4084i	0.977373	−	0.692404i
$376$	−0.0462380	−	0.439925i	−0.00238454	−	0.0226874i
$377$	−0.324683	−	0.999271i	−0.0167220	−	0.0514651i
$378$	5.51800	+	7.49724i	0.283815	+	0.385616i
$379$	25.2294	+	18.3302i	1.29595	+	0.941559i	0.999907	−	0.0136170i	$-0.00433457\pi$
$379$	25.2294	+	18.3302i	1.29595	+	0.941559i	0.296038	+	0.955176i	$0.404335\pi$
$380$	6.56471	−	9.64941i	0.336762	−	0.495004i
$381$	9.44105	−	2.00676i	0.483680	−	0.102809i
$382$	−0.630145	+	0.699847i	−0.0322410	+	0.0358073i
$383$	1.89322	+	18.0128i	0.0967391	+	0.920411i	0.930007	+	0.367542i	$0.119800\pi$
$383$	1.89322	+	18.0128i	0.0967391	+	0.920411i	−0.833268	+	0.552869i	$0.813533\pi$
$384$	2.07462			0.105870
$385$	−2.43188	−	19.4701i	−0.123940	−	0.992290i
$386$	−22.5725			−1.14891
$387$	−1.50456	−	14.3150i	−0.0764813	−	0.727671i
$388$	0.229327	−	0.254694i	0.0116423	−	0.0129301i
$389$	28.9299	−	6.14925i	1.46681	−	0.311779i	0.595832	−	0.803109i	$-0.296822\pi$
$389$	28.9299	−	6.14925i	1.46681	−	0.311779i	0.870974	+	0.491329i	$0.163489\pi$
$390$	−0.735775	−	0.500564i	−0.0372574	−	0.0253470i
$391$	−4.62152	−	3.35773i	−0.233720	−	0.169808i
$392$	3.42499	−	6.10487i	0.172988	−	0.308343i
$393$	0.862436	+	2.65431i	0.0435042	+	0.133892i
$394$	−1.85032	−	17.6046i	−0.0932179	−	0.886909i
$395$	10.3210	−	19.2258i	0.519307	−	0.967355i
$396$	−0.527492	+	4.29274i	−0.0265075	+	0.215718i
$397$	−14.3550	+	24.8635i	−0.720455	+	1.24786i	0.240362	+	0.970683i	$0.422734\pi$
$397$	−14.3550	+	24.8635i	−0.720455	+	1.24786i	−0.960818	+	0.277182i	$0.910600\pi$
$398$	1.72450	+	2.37358i	0.0864416	+	0.118977i
$399$	6.12900	+	27.9852i	0.306834	+	1.40101i
$400$	−3.56890	−	3.50185i	−0.178445	−	0.175092i
$401$	13.8395	−	6.16172i	0.691110	−	0.307702i	−0.0309615	−	0.999521i	$-0.509857\pi$
$401$	13.8395	−	6.16172i	0.691110	−	0.307702i	0.722071	+	0.691819i	$0.243190\pi$
$402$	17.6016	+	1.85001i	0.877890	+	0.0922699i
$403$	0.869114	−	0.184736i	0.0432937	−	0.00920235i
$404$	−15.0799	−	3.20534i	−0.750254	−	0.159471i
$405$	−9.48390	+	23.2068i	−0.471259	+	1.15316i
$406$	11.7760	+	8.44531i	0.584432	+	0.419134i
$407$	−5.39126	+	1.64772i	−0.267235	+	0.0816744i
$408$	−4.25011	−	2.45380i	−0.210412	−	0.121481i
$409$	25.6804	+	11.4337i	1.26982	+	0.565358i	0.927358	−	0.374175i	$-0.122074\pi$
$409$	25.6804	+	11.4337i	1.26982	+	0.565358i	0.342458	+	0.939533i	$0.388741\pi$
$410$	−2.33375	+	12.9338i	−0.115256	+	0.638753i
$411$	15.1922	−	13.6791i	0.749376	−	0.674742i
$412$	11.9531	+	8.68446i	0.588889	+	0.427853i
$413$	12.8330	+	2.64515i	0.631470	+	0.130159i
$414$	−2.99499	−	0.973132i	−0.147196	−	0.0478268i
$415$	−0.128689	−	0.358003i	−0.00631710	−	0.0175737i
$416$	−0.0780249	+	0.175247i	−0.00382548	+	0.00859218i
$417$	−7.05705	−	12.2232i	−0.345585	−	0.598571i
$418$	8.91698	−	14.8372i	0.436144	−	0.725710i
$419$			17.4222i			0.851131i	0.904928	+	0.425566i	$0.139925\pi$
$419$			17.4222i			0.851131i	−0.904928	+	0.425566i	$0.860075\pi$
$420$	12.2652	−	0.455087i	0.598479	−	0.0222060i
$421$	−8.12308	−	25.0003i	−0.395895	−	1.21844i	−0.928263	−	0.371925i	$-0.878698\pi$
$421$	−8.12308	−	25.0003i	−0.395895	−	1.21844i	0.532368	−	0.846513i	$-0.321302\pi$
$422$	−15.9176	+	14.3322i	−0.774855	+	0.697683i
$423$	−0.0602965	+	0.573683i	−0.00293172	+	0.0278934i
$424$	−2.20324	−	0.231570i	−0.106999	−	0.0112460i
$425$	3.16944	+	11.3951i	0.153741	+	0.552746i
$426$	5.31402	+	16.3549i	0.257465	+	0.792396i
$427$	−0.220224	−	35.7195i	−0.0106574	−	1.72859i
$428$	−4.51092			−0.218043
$429$	−1.13135	−	0.679926i	−0.0546219	−	0.0328271i
$430$	21.7460	+	11.6739i	1.04868	+	0.562967i
$431$	−0.305768	+	0.686765i	−0.0147283	+	0.0330803i	−0.920760	−	0.390130i	$-0.872430\pi$
$431$	−0.305768	+	0.686765i	−0.0147283	+	0.0330803i	0.906032	+	0.423210i	$0.139097\pi$
$432$	3.44157	+	0.731529i	0.165583	+	0.0351957i
$433$	8.87721	−	27.3213i	0.426612	−	1.31298i	−0.474831	−	0.880077i	$-0.657491\pi$
$433$	8.87721	−	27.3213i	0.426612	−	1.31298i	0.901443	−	0.432899i	$-0.142509\pi$
$434$	−8.14367	+	9.15738i	−0.390909	+	0.439568i
$435$	−1.87340	+	25.3394i	−0.0898228	+	1.21493i
$436$	−11.1753	+	10.0623i	−0.535202	+	0.481898i
$437$	9.36664	+	8.43376i	0.448067	+	0.403441i
$438$	−8.96023	+	20.1250i	−0.428136	+	0.961609i
$439$	−3.17005	+	5.49069i	−0.151298	+	0.262056i	−0.931705	−	0.363216i	$-0.881679\pi$
$439$	−3.17005	+	5.49069i	−0.151298	+	0.262056i	0.780407	+	0.625272i	$0.215012\pi$
$440$	−5.57718	−	4.88825i	−0.265882	−	0.233038i
$441$	−6.02393	+	6.85846i	−0.286854	+	0.326593i
$442$	0.367120	−	0.266728i	0.0174621	−	0.0126870i
$443$	6.85315	−	32.2415i	0.325603	−	1.53184i	−0.445588	−	0.895238i	$-0.647005\pi$
$443$	6.85315	−	32.2415i	0.325603	−	1.53184i	0.771191	−	0.636604i	$-0.219661\pi$
$444$	−0.733166	−	3.44927i	−0.0347945	−	0.163695i
$445$	−7.81473	+	3.77302i	−0.370454	+	0.178859i
$446$	−17.3783	+	7.73731i	−0.822886	+	0.366372i
$447$	−34.3798	−	11.1707i	−1.62611	−	0.528354i
$448$	−0.566027	−	2.58449i	−0.0267423	−	0.122106i
$449$	−15.8496	+	11.5154i	−0.747991	+	0.543447i	−0.895203	−	0.445658i	$-0.852970\pi$
$449$	−15.8496	+	11.5154i	−0.747991	+	0.543447i	0.147213	+	0.989105i	$0.452970\pi$
$450$	3.60287	+	5.43440i	0.169841	+	0.256180i
$451$	−2.37750	+	19.3481i	−0.111952	+	0.911068i
$452$	5.14307	−	2.96935i	0.241909	−	0.139667i
$453$	0.231046	−	0.0242840i	0.0108555	−	0.00114096i
$454$	−4.01323	+	1.30398i	−0.188350	+	0.0611987i
$455$	−0.422842	+	1.05318i	−0.0198231	+	0.0493736i
$456$	8.76012	+	6.36460i	0.410230	+	0.298050i
$457$	34.6763	−	15.4389i	1.62209	−	0.722200i	0.623850	−	0.781544i	$-0.285567\pi$
$457$	34.6763	−	15.4389i	1.62209	−	0.722200i	0.998238	+	0.0593438i	$0.0189008\pi$
$458$	3.84428	+	18.0859i	0.179631	+	0.845099i
$459$	−6.18524	−	5.56922i	−0.288702	−	0.259949i
$460$	4.26835	−	3.30749i	0.199013	−	0.154213i
$461$	−39.9724			−1.86170			−0.930851	−	0.365400i	$-0.880932\pi$
$461$	−39.9724			−1.86170			−0.930851	+	0.365400i	$0.880932\pi$
$462$	18.1255	−	1.69672i	0.843273	−	0.0789387i
$463$		−	13.1521i		−	0.611230i	−0.952155	−	0.305615i	$-0.901138\pi$
$463$		−	13.1521i		−	0.611230i	0.952155	−	0.305615i	$-0.0988621\pi$
$464$	5.44718	−	0.572521i	0.252879	−	0.0265786i
$465$	−21.1455	−	3.81547i	−0.980601	−	0.176938i
$466$	18.2989	−	3.88956i	0.847681	−	0.180180i
$467$	−7.50682	+	3.34225i	−0.347374	+	0.154661i	−0.573005	−	0.819552i	$-0.694222\pi$
$467$	−7.50682	+	3.34225i	−0.347374	+	0.154661i	0.225631	+	0.974213i	$0.427556\pi$
$468$	0.147039	−	0.202381i	0.00679686	−	0.00935508i
$469$	−2.49765	−	22.4323i	−0.115331	−	1.03583i
$470$	−0.755171	−	0.638809i	−0.0348335	−	0.0294661i
$471$	2.78109	+	26.4603i	0.128146	+	1.21923i
$472$	4.28889	−	2.47619i	0.197412	−	0.113976i
$473$	33.1770	+	15.4745i	1.52548	+	0.711516i
$474$	17.5331	+	10.1227i	0.805321	+	0.464952i
$475$	−4.32666	−	25.7354i	−0.198521	−	1.18082i
$476$	−1.89729	+	5.96413i	−0.0869622	+	0.273365i
$477$	2.74756	+	0.892737i	0.125802	+	0.0408756i
$478$	−9.49277	−	21.3211i	−0.434189	−	0.975204i
$479$	0.193545	−	1.84146i	0.00884328	−	0.0841382i	−0.989210	−	0.146504i	$-0.953198\pi$
$479$	0.193545	−	1.84146i	0.00884328	−	0.0841382i	0.998053	+	0.0623658i	$0.0198645\pi$
$480$	3.34983	−	3.20919i	0.152898	−	0.146479i
$481$	0.318940	+	0.0677928i	0.0145424	+	0.00309109i
$482$	17.2985	−	12.5681i	0.787923	−	0.572460i
$483$	−1.30424	+	13.1908i	−0.0593449	+	0.600202i
$484$	−8.66685	−	6.77390i	−0.393948	−	0.307905i
$485$	−0.0236932	−	0.765989i	−0.00107585	−	0.0347818i
$486$	−11.6061	−	5.16736i	−0.526462	−	0.234396i
$487$	−7.18011	−	6.46500i	−0.325362	−	0.292957i	0.490220	−	0.871599i	$-0.336916\pi$
$487$	−7.18011	−	6.46500i	−0.325362	−	0.292957i	−0.815582	+	0.578642i	$0.803583\pi$
$488$	−9.03390	−	10.0332i	−0.408945	−	0.454180i
$489$	5.51268	−	7.58756i	0.249292	−	0.343121i
$490$	−3.91329	−	15.1554i	−0.176785	−	0.684651i
$491$	−23.4755	−	7.62766i	−1.05944	−	0.344231i	−0.273071	−	0.961994i	$-0.588039\pi$
$491$	−23.4755	−	7.62766i	−1.05944	−	0.344231i	−0.786365	+	0.617763i	$0.788039\pi$
$492$	−11.9272	−	2.53521i	−0.537722	−	0.114296i
$493$	−11.8364	−	5.26989i	−0.533083	−	0.237344i
$494$	−0.867090	+	0.500615i	−0.0390122	+	0.0225237i
$495$	5.78864	+	7.74733i	0.260180	+	0.348217i
$496$			4.63183i			0.207975i
$497$	18.9245	−	11.0822i	0.848881	−	0.497105i
$498$	0.335687	−	0.109071i	0.0150425	−	0.00488760i
$499$	−21.1218	−	23.4582i	−0.945542	−	1.05013i	−0.998671	−	0.0515434i	$-0.983586\pi$
$499$	−21.1218	−	23.4582i	−0.945542	−	1.05013i	0.0531285	−	0.998588i	$-0.483081\pi$
$500$	−11.1795	−	0.133654i	−0.499964	−	0.00597719i
$501$	28.8120	+	3.02826i	1.28723	+	0.135293i
$502$	−9.33103	+	8.40169i	−0.416464	+	0.374986i
$503$	11.5273	−	3.74546i	0.513979	−	0.167002i	−0.0405323	−	0.999178i	$-0.512905\pi$
$503$	11.5273	−	3.74546i	0.513979	−	0.167002i	0.554511	+	0.832176i	$0.312905\pi$
$504$	0.0212713	+	3.45012i	0.000947497	+	0.153680i
$505$	−29.3074	+	18.1513i	−1.30416	+	0.807722i
$506$	6.04516	−	5.25398i	0.268740	−	0.233568i
$507$	−13.4469	−	23.2906i	−0.597196	−	1.03437i
$508$	−4.25018	−	1.89230i	−0.188571	−	0.0839574i
$509$	3.05685	−	14.3813i	0.135492	−	0.637442i	−0.857018	−	0.515286i	$-0.827686\pi$
$509$	3.05685	−	14.3813i	0.135492	−	0.637442i	0.992511	−	0.122156i	$-0.0389809\pi$
$510$	−10.6583	+	2.61233i	−0.471955	+	0.115676i
$511$	27.5157	+	5.67157i	1.21722	+	0.250896i
$512$	−0.809017	−	0.587785i	−0.0357538	−	0.0259767i
$513$	12.2879	+	13.6471i	0.542524	+	0.602534i
$514$	−15.1385	+	16.8130i	−0.667729	+	0.741588i
$515$	32.7342	−	4.46755i	1.44244	−	0.196864i
$516$	−11.4496	+	19.8314i	−0.504042	+	0.873027i
$517$	−1.17160	−	0.883035i	−0.0515268	−	0.0388359i
$518$	−4.09696	+	1.85444i	−0.180010	+	0.0814792i
$519$	−1.48820	−	2.04833i	−0.0653248	−	0.0899119i
$520$	0.145101	+	0.403661i	0.00636312	+	0.0177017i
$521$	−4.47372	−	21.0472i	−0.195997	−	0.922094i	−0.960674	−	0.277680i	$-0.910435\pi$
$521$	−4.47372	−	21.0472i	−0.195997	−	0.922094i	0.764677	−	0.644414i	$-0.222899\pi$
$522$	−7.10337	−	0.746594i	−0.310906	−	0.0326775i
$523$	4.34194	+	9.75216i	0.189860	+	0.426432i	0.983245	−	0.182287i	$-0.0583502\pi$
$523$	4.34194	+	9.75216i	0.189860	+	0.426432i	−0.793386	+	0.608720i	$0.791683\pi$
$524$	0.415708	−	1.27942i	0.0181603	−	0.0558916i
$525$	19.1002	−	19.7076i	0.833603	−	0.860110i
$526$	19.7406	−	14.3424i	0.860732	−	0.625358i
$527$	5.47840	−	9.48886i	0.238643	−	0.413341i
$528$	4.69312	−	5.03181i	0.204242	−	0.218981i
$529$	−8.58417	−	14.8682i	−0.373225	−	0.646444i
$530$	−3.91572	+	3.03425i	−0.170088	+	0.131799i
$531$	−6.14205	+	1.99567i	−0.266542	+	0.0866048i
$532$	5.53875	−	12.6496i	0.240135	−	0.548428i
$533$	0.662728	−	0.912167i	0.0287060	−	0.0395104i
$534$	−3.27477	−	7.35525i	−0.141713	−	0.318293i
$535$	−7.28364	+	6.97786i	−0.314899	+	0.301679i
$536$	−6.33977	−	5.70836i	−0.273836	−	0.246563i
$537$	1.05971	+	10.0825i	0.0457299	+	0.435091i
$538$			18.0593i			0.778593i
$539$	−7.05897	−	22.1172i	−0.304052	−	0.952656i
$540$	6.68859	−	4.14253i	0.287831	−	0.178266i
$541$	−10.9902	+	1.15512i	−0.472507	+	0.0496625i	−0.337790	−	0.941222i	$-0.609679\pi$
$541$	−10.9902	+	1.15512i	−0.472507	+	0.0496625i	−0.134717	+	0.990884i	$0.543013\pi$
$542$	−14.9444	+	16.5974i	−0.641917	+	0.712921i
$543$	−3.67203	−	17.2756i	−0.157582	−	0.741365i
$544$	0.962153	+	2.16103i	0.0412520	+	0.0926534i
$545$	−2.47927	+	33.5343i	−0.106200	+	1.43645i
$546$	−0.964538	−	0.422334i	−0.0412784	−	0.0180742i
$547$	−6.06951	−	18.6800i	−0.259513	−	0.798700i	−0.992907	−	0.118895i	$-0.962065\pi$
$547$	−6.06951	−	18.6800i	−0.259513	−	0.798700i	0.733393	−	0.679804i	$-0.237935\pi$
$548$	−9.79994	+	1.03002i	−0.418633	+	0.0440001i
$549$	8.80293	+	15.2471i	0.375700	+	0.650731i
$550$	−16.5669	+	0.734329i	−0.706413	+	0.0313119i
$551$	24.7572	+	14.2936i	1.05469	+	0.608927i
$552$	2.94478	+	4.05315i	0.125338	+	0.172513i
$553$	7.82695	−	24.6040i	0.332836	−	1.04627i
$554$	1.08420	−	3.33683i	0.0460634	−	0.141768i
$555$	−6.51944	−	4.43532i	−0.276735	−	0.188269i
$556$	−0.711130	+	6.76595i	−0.0301586	+	0.286940i
$557$	4.44011	−	0.943775i	0.188134	−	0.0399890i	−0.112881	−	0.993608i	$-0.536008\pi$
$557$	4.44011	−	0.943775i	0.188134	−	0.0399890i	0.301015	+	0.953619i	$0.402675\pi$
$558$	1.25581	−	5.90813i	0.0531628	−	0.250111i
$559$	−1.24458	−	1.71301i	−0.0526400	−	0.0724527i
$560$	−4.91185	−	3.29753i	−0.207564	−	0.139346i
$561$	−15.5659	+	4.75737i	−0.657193	+	0.200857i
$562$	−11.0281	−	6.36705i	−0.465191	−	0.268578i
$563$	9.00451	−	20.2245i	0.379495	−	0.852359i	−0.618297	−	0.785944i	$-0.712177\pi$
$563$	9.00451	−	20.2245i	0.379495	−	0.852359i	0.997792	−	0.0664149i	$-0.0211561\pi$
$564$	0.614064	−	0.681988i	0.0258568	−	0.0287169i
$565$	3.71112	−	12.7502i	0.156128	−	0.536406i
$566$	−17.1808	+	23.6473i	−0.722162	+	0.993970i
$567$	−5.98831	+	29.0524i	−0.251485	+	1.22008i
$568$	2.56144	−	7.88331i	0.107476	−	0.330776i
$569$	−1.77106	+	8.33220i	−0.0742468	+	0.349304i	−0.999552	−	0.0299187i	$-0.990475\pi$
$569$	−1.77106	+	8.33220i	−0.0742468	+	0.349304i	0.925306	+	0.379223i	$0.123809\pi$
$570$	23.9900	−	3.27414i	1.00483	−	0.137139i
$571$	−9.35226	+	5.39953i	−0.391380	+	0.225963i	−0.682758	−	0.730645i	$-0.739220\pi$
$571$	−9.35226	+	5.39953i	−0.391380	+	0.225963i	0.291378	+	0.956608i	$0.405886\pi$
$572$	0.248541	+	0.585679i	0.0103920	+	0.0244885i
$573$	−1.95375			−0.0816189
$574$	0.0958733	+	15.5503i	0.00400167	+	0.649056i
$575$	1.77567	−	11.9431i	0.0740507	−	0.498063i
$576$	0.872577	+	0.969095i	0.0363574	+	0.0403790i
$577$	−3.30676	+	31.4617i	−0.137662	+	1.30977i	0.679635	+	0.733551i	$0.262138\pi$
$577$	−3.30676	+	31.4617i	−0.137662	+	1.30977i	−0.817297	+	0.576217i	$0.804528\pi$
$578$	−1.19206	+	11.3417i	−0.0495834	+	0.471754i
$579$	−31.3350	−	34.8010i	−1.30224	−	1.44628i
$580$	7.90977	−	9.35057i	0.328435	−	0.388261i
$581$	−0.227464	−	0.388430i	−0.00943681	−	0.0161148i
$582$	0.711023			0.0294729
$583$	−5.54575	+	4.81993i	−0.229681	+	0.199621i
$584$	9.19598	−	5.30930i	0.380532	−	0.219700i
$585$	−0.0756410	−	0.554230i	−0.00312737	−	0.0229146i
$586$	6.57235	−	30.9205i	0.271501	−	1.27731i
$587$	−8.81929	+	27.1430i	−0.364011	+	1.12031i	0.586587	+	0.809886i	$0.300471\pi$
$587$	−8.81929	+	27.1430i	−0.364011	+	1.12031i	−0.950598	+	0.310424i	$0.899529\pi$
$588$	14.1667	−	3.19429i	0.584224	−	0.131730i
$589$	−14.2097	+	19.5580i	−0.585501	+	0.805873i
$590$	3.09476	−	10.6326i	0.127409	−	0.437738i
$591$	24.5732	−	27.2913i	1.01081	−	1.12262i
$592$	−0.691350	+	1.55280i	−0.0284143	+	0.0638196i
$593$	2.23407	+	1.28984i	0.0917422	+	0.0529674i	0.545169	−	0.838326i	$-0.316465\pi$
$593$	2.23407	+	1.28984i	0.0917422	+	0.0529674i	−0.453427	+	0.891293i	$0.649799\pi$
$594$	9.55965	−	6.69240i	0.392237	−	0.274593i
$595$	6.16230	+	12.5650i	0.252630	+	0.515114i
$596$	10.2418	+	14.0967i	0.419521	+	0.577421i
$597$	−1.26550	+	5.95372i	−0.0517936	+	0.243670i
$598$	−0.453127	+	0.0963152i	−0.0185298	+	0.00393862i
$599$	−3.85421	+	36.6703i	−0.157479	+	1.49831i	0.575356	+	0.817903i	$0.304863\pi$
$599$	−3.85421	+	36.6703i	−0.157479	+	1.49831i	−0.732835	+	0.680406i	$0.761803\pi$
$600$	0.444624	−	10.3636i	0.0181517	−	0.423091i
$601$	−7.79998	+	24.0059i	−0.318168	+	0.979220i	0.656263	+	0.754532i	$0.272136\pi$
$601$	−7.79998	+	24.0059i	−0.318168	+	0.979220i	−0.974431	+	0.224688i	$0.927864\pi$
$602$	27.8291	+	8.85292i	1.13423	+	0.360818i
$603$	6.53901	+	9.00017i	0.266289	+	0.366515i
$604$	−0.0969788	−	0.0559908i	−0.00394601	−	0.00227823i
$605$	−24.4725	+	2.46897i	−0.994949	+	0.100378i
$606$	−15.9920	−	27.6990i	−0.649631	−	1.12519i
$607$	−40.5166	+	4.25846i	−1.64452	+	0.172846i	−0.881057	−	0.473010i	$-0.843167\pi$
$607$	−40.5166	+	4.25846i	−1.64452	+	0.172846i	−0.763459	+	0.645856i	$0.776501\pi$
$608$	−1.61286	−	4.96387i	−0.0654101	−	0.201311i
$609$	3.32680	+	29.8792i	0.134809	+	1.21077i
$610$	−30.1069	−	2.22587i	−1.21899	−	0.0901229i
$611$	0.0345142	+	0.0775201i	0.00139629	+	0.00313613i
$612$	−0.641361	−	3.01737i	−0.0259255	−	0.121970i
$613$	−21.2783	+	23.6319i	−0.859422	+	0.954485i	−0.999363	−	0.0356750i	$-0.988642\pi$
$613$	−21.2783	+	23.6319i	−0.859422	+	0.954485i	0.139942	+	0.990160i	$0.455309\pi$
$614$	−16.7860	+	1.76428i	−0.677429	+	0.0712007i
$615$	−23.1802	+	14.3565i	−0.934717	+	0.578910i
$616$	−7.54891	−	4.47369i	−0.304154	−	0.180250i
$617$			13.2138i			0.531969i	0.963977	+	0.265984i	$0.0856970\pi$
$617$			13.2138i			0.531969i	−0.963977	+	0.265984i	$0.914303\pi$
$618$	3.20403	+	30.4844i	0.128885	+	1.22626i
$619$	1.95146	+	1.75710i	0.0784357	+	0.0706238i	0.707416	−	0.706797i	$-0.249861\pi$
$619$	1.95146	+	1.75710i	0.0784357	+	0.0706238i	−0.628980	+	0.777421i	$0.716527\pi$
$620$	7.16489	+	7.47888i	0.287749	+	0.300359i
$621$	3.45591	+	7.76210i	0.138681	+	0.311482i
$622$	−18.1791	+	25.0214i	−0.728916	+	1.00327i
$623$	−8.26947	+	6.08637i	−0.331309	+	0.243845i
$624$	−0.378499	+	0.122982i	−0.0151521	+	0.00492321i
$625$	−18.2580	+	17.0776i	−0.730320	+	0.683105i
$626$	12.3023	+	21.3083i	0.491701	+	0.851650i
$627$	35.2536	−	6.84917i	1.40789	−	0.273529i
$628$	6.41228	−	11.1064i	0.255878	−	0.443193i
$629$	3.25292	−	2.36338i	0.129702	−	0.0942343i
$630$	5.37127	+	5.53789i	0.213996	+	0.220635i
$631$	4.41526	−	13.5888i	0.175769	−	0.540961i	−0.823899	−	0.566737i	$-0.808206\pi$
$631$	4.41526	−	13.5888i	0.175769	−	0.540961i	0.999668	+	0.0257761i	$0.00820569\pi$
$632$	−3.96919	−	8.91496i	−0.157886	−	0.354618i
$633$	−44.1933	−	4.64490i	−1.75653	−	0.184618i
$634$	−6.16499	−	29.0040i	−0.244843	−	1.15190i
$635$	−9.78981	+	3.51908i	−0.388497	+	0.139651i
$636$	−2.70150	−	3.71830i	−0.107122	−	0.147440i
$637$	−0.262971	+	1.31682i	−0.0104193	+	0.0521742i
$638$	10.9338	−	14.5068i	0.432873	−	0.574329i
$639$	−5.40462	+	9.36107i	−0.213803	+	0.370318i
$640$	−2.21553	+	0.302374i	−0.0875765	+	0.0119524i
$641$	7.94163	−	8.82007i	0.313675	−	0.348372i	−0.565605	−	0.824676i	$-0.691357\pi$
$641$	7.94163	−	8.82007i	0.313675	−	0.348372i	0.879280	+	0.476304i	$0.158024\pi$
$642$	−6.26202	−	6.95468i	−0.247142	−	0.274479i
$643$	39.7663	+	28.8919i	1.56823	+	1.13939i	0.928827	+	0.370513i	$0.120818\pi$
$643$	39.7663	+	28.8919i	1.56823	+	1.13939i	0.639402	+	0.768872i	$0.279182\pi$
$644$	4.24584	−	4.77436i	0.167310	−	0.188136i
$645$	12.1894	+	49.7323i	0.479956	+	1.95821i
$646$	−2.56699	+	12.0767i	−0.100997	+	0.475152i
$647$	−4.83578	−	2.15303i	−0.190114	−	0.0846443i	0.309472	−	0.950909i	$-0.399848\pi$
$647$	−4.83578	−	2.15303i	−0.190114	−	0.0846443i	−0.499586	+	0.866264i	$0.666514\pi$
$648$	5.60580	+	9.70953i	0.220217	+	0.381426i
$649$	3.69636	−	16.0039i	0.145095	−	0.628206i
$650$	0.858706	+	0.427324i	0.0336812	+	0.0167610i
$651$	−25.4233	+	0.156744i	−0.996418	+	0.00614329i
$652$	−4.29944	+	1.39697i	−0.168379	+	0.0547097i
$653$	−19.6682	+	17.7094i	−0.769677	+	0.693021i	−0.957260	−	0.289228i	$-0.906601\pi$
$653$	−19.6682	+	17.7094i	−0.769677	+	0.693021i	0.187583	+	0.982249i	$0.439935\pi$
$654$	−31.0270	−	3.26107i	−1.21325	−	0.127518i
$655$	−1.30788	−	2.70889i	−0.0511030	−	0.105845i
$656$	3.93286	+	4.36788i	0.153552	+	0.170537i
$657$	−13.1694	+	4.27900i	−0.513788	+	0.166940i
$658$	−1.01714	−	0.578912i	−0.0396521	−	0.0225683i
$659$			29.8450i			1.16260i	0.813690	+	0.581299i	$0.197455\pi$
$659$			29.8450i			1.16260i	−0.813690	+	0.581299i	$0.802545\pi$
$660$	−0.205771	−	15.3844i	−0.00800963	−	0.598837i
$661$	26.9851	−	15.5799i	1.04960	−	0.605987i	0.127063	−	0.991895i	$-0.459445\pi$
$661$	26.9851	−	15.5799i	1.04960	−	0.605987i	0.922537	+	0.385908i	$0.126112\pi$
$662$	−21.3580	−	9.50919i	−0.830102	−	0.369585i
$663$	0.920859	+	0.195735i	0.0357632	+	0.00760170i
$664$	−0.161806	−	0.0525741i	−0.00627931	−	0.00204027i
$665$	−10.6241	−	28.9927i	−0.411985	−	1.12429i
$666$	1.30286	−	1.79323i	0.0504847	−	0.0694862i
$667$	8.85043	+	9.82940i	0.342690	+	0.380596i
$668$	−10.3775	−	9.34398i	−0.401519	−	0.361529i
$669$	−36.0533	−	16.0520i	−1.39390	−	0.620605i
$670$	−19.0668	+	0.589766i	−0.736614	+	0.0227846i
$671$	−44.7707	−	0.785681i	−1.72835	−	0.0303309i
$672$	3.19887	−	4.46044i	0.123399	−	0.172065i
$673$	25.0081	−	18.1695i	0.963992	−	0.700381i	0.00991772	−	0.999951i	$-0.496843\pi$
$673$	25.0081	−	18.1695i	0.963992	−	0.700381i	0.954074	+	0.299569i	$0.0968430\pi$
$674$	19.5701	+	4.15975i	0.753811	+	0.160228i
$675$	4.39187	−	17.0353i	0.169043	−	0.655688i
$676$	−1.35502	+	12.8922i	−0.0521163	+	0.495853i
$677$	1.97323	+	4.43195i	0.0758375	+	0.170334i	0.947486	−	0.319798i	$-0.103615\pi$
$677$	1.97323	+	4.43195i	0.0758375	+	0.170334i	−0.871648	+	0.490132i	$0.836949\pi$
$678$	11.7175	+	3.80726i	0.450009	+	0.146217i
$679$	−0.193992	−	0.885770i	−0.00744471	−	0.0339927i
$680$	4.89642	+	2.00101i	0.187769	+	0.0767354i
$681$	−7.58153	−	4.37720i	−0.290525	−	0.167735i
$682$	11.2341	+	10.4779i	0.430176	+	0.401221i
$683$	−27.3969	+	15.8176i	−1.04831	+	0.605245i	−0.922177	−	0.386768i	$-0.873591\pi$
$683$	−27.3969	+	15.8176i	−1.04831	+	0.605245i	−0.126137	+	0.992013i	$0.540258\pi$
$684$	0.711445	+	6.76895i	0.0272028	+	0.258817i
$685$	−14.2304	+	16.8225i	−0.543714	+	0.642754i
$686$	−7.84450	−	16.7769i	−0.299504	−	0.640544i
$687$	−22.5472	+	31.0336i	−0.860230	+	1.18401i
$688$	10.0836	−	4.48949i	0.384432	−	0.171160i
$689$	0.415693	−	0.0883582i	0.0158366	−	0.00336618i
$690$	11.0246	+	1.98926i	0.419699	+	0.0757299i
$691$	19.5938	−	2.05940i	0.745385	−	0.0783431i	0.275781	−	0.961220i	$-0.411063\pi$
$691$	19.5938	−	2.05940i	0.745385	−	0.0783431i	0.469604	+	0.882877i	$0.344397\pi$
$692$			1.22041i			0.0463929i
$693$	8.41608	+	7.75312i	0.319700	+	0.294517i
$694$	16.2337			0.616224
$695$	9.31789	+	12.0248i	0.353448	+	0.456127i
$696$	8.44441	+	7.60338i	0.320084	+	0.288205i
$697$	−2.89073	−	13.5998i	−0.109494	−	0.515129i
$698$	−3.86226	+	1.71959i	−0.146189	+	0.0650874i
$699$	31.3991	+	22.8128i	1.18762	+	0.862859i
$700$	−13.0319	+	2.27364i	−0.492560	+	0.0859354i
$701$	21.2580	−	6.90714i	0.802904	−	0.260879i	0.121314	−	0.992614i	$-0.461289\pi$
$701$	21.2580	−	6.90714i	0.802904	−	0.260879i	0.681589	+	0.731735i	$0.261289\pi$
$702$	−0.671253	+	0.0705516i	−0.0253348	+	0.00266280i
$703$	−7.68298	+	4.43577i	−0.289769	+	0.167298i
$704$	−3.25575	+	0.632536i	−0.122706	+	0.0238396i
$705$	−0.0634428	−	2.05107i	−0.00238939	−	0.0772478i
$706$	13.8280	−	10.0466i	0.520423	−	0.378110i
$707$	−30.1433	+	27.4796i	−1.13366	+	1.03348i
$708$	9.77144	+	3.17493i	0.367233	+	0.119321i
$709$	−3.17548	+	1.41382i	−0.119258	+	0.0530970i	−0.465498	−	0.885049i	$-0.654125\pi$
$709$	−3.17548	+	1.41382i	−0.119258	+	0.0530970i	0.346240	+	0.938146i	$0.387458\pi$
$710$	−8.05866	−	16.6912i	−0.302436	−	0.626409i
$711$	2.64582	+	12.4476i	0.0992261	+	0.466822i
$712$	−0.806878	+	3.79606i	−0.0302390	+	0.142263i
$713$	−9.04913	+	6.57458i	−0.338892	+	0.246220i
$714$	−11.8290	+	5.35422i	−0.442687	+	0.200376i
$715$	1.30729	+	0.561214i	0.0488898	+	0.0209882i
$716$	2.44334	−	4.23199i	0.0913119	−	0.158157i
$717$	19.6939	−	44.2332i	0.735481	−	1.65192i
$718$	−16.1448	−	14.5369i	−0.602519	−	0.542510i
$719$	13.5551	−	12.2050i	0.505519	−	0.455171i	−0.376479	−	0.926425i	$-0.622865\pi$
$719$	13.5551	−	12.2050i	0.505519	−	0.455171i	0.881997	+	0.471254i	$0.156199\pi$
$720$	2.90800	+	0.214995i	0.108375	+	0.00801239i
$721$	37.1023	−	12.3087i	1.38176	−	0.458399i
$722$	2.54671	−	7.83795i	0.0947786	−	0.291698i
$723$	43.3903	+	9.22289i	1.61370	+	0.343003i
$724$	−3.46260	+	7.77713i	−0.128687	+	0.289035i
$725$	−1.69256	−	27.3336i	−0.0628600	−	1.01514i
$726$	−1.58762	−	22.7655i	−0.0589222	−	0.844908i
$727$	39.8726			1.47879			0.739396	−	0.673270i	$-0.235111\pi$
$727$	39.8726			1.47879			0.739396	+	0.673270i	$0.235111\pi$
$728$	0.256474	+	0.437968i	0.00950556	+	0.0162322i
$729$	2.24901	+	6.92174i	0.0832967	+	0.256361i
$730$	6.63561	−	22.7978i	0.245595	−	0.843786i
$731$	−25.9674	−	2.72928i	−0.960439	−	0.100946i
$732$	2.92777	−	27.8559i	0.108214	−	1.02958i
$733$	35.8077	−	32.2414i	1.32259	−	1.19086i	0.356014	−	0.934481i	$-0.384136\pi$
$733$	35.8077	−	32.2414i	1.32259	−	1.19086i	0.966575	−	0.256384i	$-0.0825311\pi$
$734$	0.420498	+	1.29416i	0.0155209	+	0.0477683i
$735$	17.9333	−	27.0719i	0.661481	−	0.998562i
$736$		−	2.41488i		−	0.0890138i
$737$	−28.1867	+	2.46335i	−1.03827	+	0.0907387i
$738$	−3.83231	−	6.63775i	−0.141069	−	0.244339i
$739$	−18.3157	+	41.1378i	−0.673755	+	1.51328i	0.175042	+	0.984561i	$0.443994\pi$
$739$	−18.3157	+	41.1378i	−0.673755	+	1.51328i	−0.848797	+	0.528718i	$0.822673\pi$
$740$	1.28569	+	3.57669i	0.0472630	+	0.131482i
$741$	−1.97551	−	0.641881i	−0.0725720	−	0.0235801i
$742$	−3.89508	+	4.37993i	−0.142993	+	0.160792i
$743$	−21.5276	−	15.6407i	−0.789771	−	0.573802i	0.118124	−	0.992999i	$-0.462312\pi$
$743$	−21.5276	−	15.6407i	−0.789771	−	0.573802i	−0.907896	+	0.419196i	$0.862312\pi$
$744$	−7.14109	+	6.42987i	−0.261805	+	0.235730i
$745$	38.3430	+	6.91856i	1.40478	+	0.253476i
$746$	−3.39706	−	1.51247i	−0.124375	−	0.0553755i
$747$	0.192138	+	0.110931i	0.00702996	+	0.00405875i
$748$	7.41794	+	2.55498i	0.271227	+	0.0934193i
$749$	−6.95542	+	9.69850i	−0.254145	+	0.354375i
$750$	−15.3133	−	17.4215i	−0.559162	−	0.636144i
$751$	40.4751	+	8.60324i	1.47696	+	0.313937i	0.874817	−	0.484454i	$-0.160982\pi$
$751$	40.4751	+	8.60324i	1.47696	+	0.313937i	0.602140	+	0.798391i	$0.294315\pi$
$752$	−0.432682	+	0.0919694i	−0.0157783	+	0.00335378i
$753$	−25.9065	−	2.72288i	−0.944085	−	0.0992274i
$754$	−0.959858	+	0.427356i	−0.0349560	+	0.0155634i
$755$	−0.243200	+	0.0596082i	−0.00885095	+	0.00216936i
$756$	6.87938	−	6.27145i	0.250201	−	0.228090i
$757$	−2.30771	−	3.17629i	−0.0838752	−	0.115444i	0.765018	−	0.644009i	$-0.222730\pi$
$757$	−2.30771	−	3.17629i	−0.0838752	−	0.115444i	−0.848893	+	0.528565i	$0.822730\pi$
$758$	15.5926	−	27.0072i	0.566349	−	0.980945i
$759$	16.4921	+	2.02655i	0.598626	+	0.0735592i
$760$	−10.2828	−	5.52011i	−0.372995	−	0.200235i
$761$	−1.87295	−	17.8199i	−0.0678942	−	0.645970i	−0.974561	−	0.224123i	$-0.928048\pi$
$761$	−1.87295	−	17.8199i	−0.0678942	−	0.645970i	0.906667	−	0.421848i	$-0.138618\pi$
$762$	−2.98262	−	9.17957i	−0.108049	−	0.332541i
$763$	4.40270	+	39.5422i	0.159388	+	1.43152i
$764$	0.761881	+	0.553539i	0.0275639	+	0.0200263i
$765$	−5.70309	−	3.87994i	−0.206196	−	0.140280i
$766$	17.7162	−	3.76570i	0.640113	−	0.136060i
$767$	−0.635688	+	0.706004i	−0.0229534	+	0.0254923i
$768$	−0.216857	−	2.06325i	−0.00782515	−	0.0744513i
$769$	−21.2175			−0.765122			−0.382561	−	0.923930i	$-0.624958\pi$
$769$	−21.2175			−0.765122			−0.382561	+	0.923930i	$0.624958\pi$
$770$	−19.1093	+	4.45374i	−0.688650	+	0.160502i
$771$	−46.9364			−1.69037
$772$	2.35947	+	22.4489i	0.0849192	+	0.807952i
$773$	−14.3748	+	15.9648i	−0.517025	+	0.574215i	−0.943957	−	0.330069i	$-0.892928\pi$
$773$	−14.3748	+	15.9648i	−0.517025	+	0.574215i	0.426931	+	0.904284i	$0.359595\pi$
$774$	−14.0793	+	2.99265i	−0.506070	+	0.107568i
$775$	23.1379	+	0.992676i	0.831137	+	0.0356580i
$776$	−0.277270	−	0.201448i	−0.00995341	−	0.00723158i
$777$	−8.54643	−	3.74215i	−0.306602	−	0.134249i
$778$	−9.13957	−	28.1287i	−0.327669	−	1.00846i
$779$	3.20661	+	30.5088i	0.114889	+	1.09309i
$780$	−0.420912	+	0.784067i	−0.0150711	+	0.0280741i
$781$	−13.3259	−	24.0459i	−0.476838	−	0.860429i
$782$	−2.85626	+	4.94718i	−0.102139	+	0.176911i
$783$	11.3274	+	15.5908i	0.404807	+	0.557168i
$784$	−6.42944	−	2.76809i	−0.229623	−	0.0988604i
$785$	−6.82656	−	27.8522i	−0.243650	−	0.994088i
$786$	2.54962	−	1.13516i	0.0909418	−	0.0404899i
$787$	−25.1710	−	2.64558i	−0.897250	−	0.0943048i	−0.355336	−	0.934739i	$-0.615634\pi$
$787$	−25.1710	−	2.64558i	−0.897250	−	0.0943048i	−0.541914	+	0.840434i	$0.682300\pi$
$788$	−17.3148	+	3.68037i	−0.616814	+	0.131108i
$789$	49.5160	+	10.5250i	1.76282	+	0.374699i
$790$	−20.1993	−	8.25484i	−0.718660	−	0.293694i
$791$	1.54601	−	15.6361i	0.0549699	−	0.555955i
$792$	4.32437	+	0.0758883i	0.153660	+	0.00269657i
$793$	2.24292	+	1.29495i	0.0796486	+	0.0459851i
$794$	26.2278	+	11.6774i	0.930791	+	0.414415i
$795$	−10.1138	−	1.82492i	−0.358700	−	0.0647233i
$796$	2.18031	−	1.96316i	0.0772792	−	0.0695825i
$797$	18.3787	+	13.3529i	0.651006	+	0.472983i	0.863614	−	0.504154i	$-0.168196\pi$
$797$	18.3787	+	13.3529i	0.651006	+	0.472983i	−0.212608	+	0.977138i	$0.568196\pi$
$798$	27.1912	−	9.02068i	0.962559	−	0.319329i
$799$	0.995180	+	0.323354i	0.0352069	+	0.0114394i
$800$	−3.10961	+	3.91540i	−0.109941	+	0.138430i
$801$	2.05843	−	4.62330i	0.0727309	−	0.163356i
$802$	−7.57459	−	13.1196i	−0.267468	−	0.463268i
$803$	7.92553	−	34.3145i	0.279686	−	1.21093i
$804$		−	17.6986i		−	0.624181i
$805$	−0.529727	−	14.2768i	−0.0186704	−	0.503192i
$806$	−0.274571	−	0.845043i	−0.00967135	−	0.0297654i
$807$	−27.8428	+	25.0698i	−0.980114	+	0.882499i
$808$	−1.61150	+	15.3324i	−0.0566923	+	0.539391i
$809$	16.8615	+	1.77222i	0.592820	+	0.0623079i	0.396188	−	0.918170i	$-0.370333\pi$
$809$	16.8615	+	1.77222i	0.592820	+	0.0623079i	0.196632	+	0.980477i	$0.437000\pi$
$810$	24.0710	+	7.00618i	0.845769	+	0.246172i
$811$	−0.579646	−	1.78397i	−0.0203541	−	0.0626436i	0.940364	−	0.340171i	$-0.110485\pi$
$811$	−0.579646	−	1.78397i	−0.0203541	−	0.0626436i	−0.960718	+	0.277528i	$0.910485\pi$
$812$	7.16812	−	12.5942i	0.251552	−	0.441971i
$813$	−46.3347			−1.62503
$814$	2.20223	+	5.18949i	0.0771882	+	0.181892i
$815$	−4.78123	+	8.90638i	−0.167479	+	0.311977i
$816$	−1.99610	+	4.48332i	−0.0698775	+	0.156947i
$817$	56.3510	+	11.9778i	1.97147	+	0.419049i
$818$	8.68670	−	26.7349i	0.303723	−	0.934764i
$819$	−0.208401	−	0.628187i	−0.00728211	−	0.0219506i
$820$	13.1069	+	0.969020i	0.457711	+	0.0338397i
$821$	1.13150	−	1.01880i	0.0394895	−	0.0355565i	−0.649150	−	0.760661i	$-0.724875\pi$
$821$	1.13150	−	1.01880i	0.0394895	−	0.0355565i	0.688639	+	0.725104i	$0.258208\pi$
$822$	−15.1922	−	13.6791i	−0.529889	−	0.477114i
$823$	−22.4723	+	50.4737i	−0.783336	+	1.75940i	−0.145313	+	0.989386i	$0.546419\pi$
$823$	−22.4723	+	50.4737i	−0.783336	+	1.75940i	−0.638024	+	0.770017i	$0.720248\pi$
$824$	7.38744	−	12.7954i	0.257354	−	0.445750i
$825$	−24.1301	−	24.5224i	−0.840103	−	0.853762i
$826$	1.28925	−	13.0392i	0.0448586	−	0.453691i
$827$	−17.8593	+	12.9755i	−0.621027	+	0.451203i	−0.853280	−	0.521453i	$-0.825390\pi$
$827$	−17.8593	+	12.9755i	−0.621027	+	0.451203i	0.232253	+	0.972655i	$0.425390\pi$
$828$	−0.654739	+	3.08030i	−0.0227537	+	0.107048i
$829$	4.80874	+	22.6233i	0.167014	+	0.785741i	0.979289	+	0.202466i	$0.0648957\pi$
$829$	4.80874	+	22.6233i	0.167014	+	0.785741i	−0.812275	+	0.583275i	$0.801771\pi$
$830$	−0.342590	+	0.165406i	−0.0118915	+	0.00574131i
$831$	6.64962	−	2.96060i	0.230673	−	0.102702i
$832$	0.182442	+	0.0592792i	0.00632506	+	0.00205514i
$833$	9.89746	+	13.2753i	0.342927	+	0.459962i
$834$	−11.4185	+	8.29606i	−0.395392	+	0.287269i
$835$	−31.2103	+	0.965384i	−1.08008	+	0.0334085i
$836$	−15.6880	−	7.31722i	−0.542580	−	0.253071i
$837$	−14.1135	+	8.14846i	−0.487835	+	0.281652i
$838$	17.3268	−	1.82112i	0.598544	−	0.0629095i
$839$	−34.2749	+	11.1366i	−1.18330	+	0.384478i	−0.833592	−	0.552380i	$-0.813720\pi$
$839$	−34.2749	+	11.1366i	−1.18330	+	0.384478i	−0.349710	+	0.936858i	$0.613720\pi$
$840$	−1.73465	−	12.1504i	−0.0598512	−	0.419229i
$841$	0.808633	+	0.587507i	0.0278839	+	0.0202588i
$842$	−24.0142	+	10.6918i	−0.827585	+	0.368464i
$843$	−5.49270	−	25.8411i	−0.189179	−	0.890015i
$844$	15.9176	+	14.3322i	0.547906	+	0.493336i
$845$	17.7548	+	22.9127i	0.610783	+	0.788220i
$846$	0.576843			0.0198323
$847$	−27.9274	+	8.18903i	−0.959597	+	0.281378i
$848$			2.21538i			0.0760765i
$849$	−60.3083	+	6.33865i	−2.06977	+	0.217542i
$850$	11.0014	−	4.34320i	0.377346	−	0.148970i
$851$	−4.01500	+	0.853415i	−0.137632	+	0.0292547i
$852$	15.7098	−	6.99445i	0.538209	−	0.239626i
$853$	27.4699	−	37.8090i	0.940550	−	1.29456i	−0.0150491	−	0.999887i	$-0.504790\pi$
$853$	27.4699	−	37.8090i	0.940550	−	1.29456i	0.955599	−	0.294669i	$-0.0952095\pi$
$854$	−35.5008	+	3.95272i	−1.21481	+	0.135259i
$855$	11.6195	+	9.82910i	0.397379	+	0.336148i
$856$	0.471519	+	4.48621i	0.0161162	+	0.153335i
$857$	37.3050	−	21.5380i	1.27431	−	0.735726i	0.298517	−	0.954404i	$-0.403508\pi$
$857$	37.3050	−	21.5380i	1.27431	−	0.735726i	0.975797	+	0.218679i	$0.0701747\pi$
$858$	−0.557943	+	1.19622i	−0.0190479	+	0.0408383i
$859$	−35.4456	−	20.4646i	−1.20939	−	0.698241i	−0.246764	−	0.969076i	$-0.579367\pi$
$859$	−35.4456	−	20.4646i	−1.20939	−	0.698241i	−0.962626	+	0.270834i	$0.912700\pi$
$860$	9.33690	−	22.8471i	0.318386	−	0.779080i
$861$	−23.8414	+	21.7346i	−0.812514	+	0.740712i
$862$	0.714965	+	0.232306i	0.0243518	+	0.00791238i
$863$	−19.3661	−	43.4969i	−0.659228	−	1.48065i	−0.864856	−	0.502020i	$-0.832590\pi$
$863$	−19.3661	−	43.4969i	−0.659228	−	1.48065i	0.205628	−	0.978630i	$-0.434076\pi$
$864$	0.367779	−	3.49918i	0.0125121	−	0.119045i
$865$	1.88782	+	1.97055i	0.0641880	+	0.0670008i
$866$	−28.0995	−	5.97273i	−0.954860	−	0.202962i
$867$	−19.1409	+	13.9066i	−0.650058	+	0.472294i
$868$	9.95846	+	7.14186i	0.338012	+	0.242410i
$869$	−30.6014	−	10.5401i	−1.03808	−	0.357549i
$870$	25.3964	−	0.785552i	0.861020	−	0.0266327i
$871$	1.49503	+	0.665630i	0.0506572	+	0.0225540i
$872$	11.1753	+	10.0623i	0.378445	+	0.340753i
$873$	0.299054	+	0.332133i	0.0101214	+	0.0112410i
$874$	7.40848	−	10.1969i	0.250596	−	0.344915i
$875$	−17.5252	+	23.8300i	−0.592459	+	0.805601i
$876$	20.9513	+	6.80751i	0.707880	+	0.230004i
$877$	9.66061	+	2.05343i	0.326216	+	0.0693393i	0.368109	−	0.929783i	$-0.380005\pi$
$877$	9.66061	+	2.05343i	0.326216	+	0.0693393i	−0.0418929	+	0.999122i	$0.513339\pi$
$878$	5.79197	+	2.57875i	0.195470	+	0.0870286i
$879$	56.7951	−	32.7906i	1.91565	−	1.10600i
$880$	−4.27850	+	6.05759i	−0.144228	+	0.204201i
$881$			10.5096i			0.354076i	0.984204	+	0.177038i	$0.0566516\pi$
$881$			10.5096i			0.354076i	−0.984204	+	0.177038i	$0.943348\pi$
$882$	7.45056	+	5.27403i	0.250874	+	0.177586i
$883$	18.2569	−	5.93203i	0.614394	−	0.199629i	0.0147440	−	0.999891i	$-0.495307\pi$
$883$	18.2569	−	5.93203i	0.614394	−	0.199629i	0.599650	+	0.800263i	$0.295307\pi$
$884$	−0.303642	−	0.337228i	−0.0102126	−	0.0113422i
$885$	20.6889	−	9.98879i	0.695450	−	0.335770i
$886$	−32.7813	−	3.44545i	−1.10131	−	0.115752i
$887$	−6.87004	+	6.18581i	−0.230673	+	0.207699i	−0.776359	−	0.630290i	$-0.782936\pi$
$887$	−6.87004	+	6.18581i	−0.230673	+	0.207699i	0.545686	+	0.837990i	$0.316269\pi$
$888$	−3.35374	+	1.08970i	−0.112544	+	0.0365678i
$889$	−10.6219	+	6.22016i	−0.356246	+	0.208617i
$890$	4.56922	+	7.37753i	0.153161	+	0.247295i
$891$	36.2309	+	8.36813i	1.21378	+	0.280343i
$892$	9.51145	+	16.4743i	0.318467	+	0.551601i
$893$	−2.10916	−	0.939057i	−0.0705802	−	0.0314243i
$894$	−7.51581	+	35.3591i	−0.251366	+	1.18259i
$895$	−2.60120	−	10.6128i	−0.0869485	−	0.354748i
$896$	−2.51117	+	0.833080i	−0.0838923	+	0.0278312i
$897$	−0.777521	−	0.564902i	−0.0259607	−	0.0188615i
$898$	13.1091	+	14.5591i	0.437456	+	0.485844i
$899$	−16.9754	+	18.8531i	−0.566162	+	0.628787i
$900$	5.02803	−	4.15118i	0.167601	−	0.138373i
$901$	2.62029	−	4.53847i	0.0872944	−	0.151198i
$902$	19.4907	+	0.342042i	0.648968	+	0.0113887i
$903$	24.9832	+	55.1949i	0.831390	+	1.83677i
$904$	−3.49068	−	4.80451i	−0.116098	−	0.159796i
$905$	6.43934	+	17.9137i	0.214051	+	0.595473i
$906$	−0.0483018	−	0.227242i	−0.00160472	−	0.00754962i
$907$	7.89515	+	0.829813i	0.262154	+	0.0275535i	0.234694	−	0.972069i	$-0.424591\pi$
$907$	7.89515	+	0.829813i	0.262154	+	0.0275535i	0.0274604	+	0.999623i	$0.491258\pi$
$908$	1.71633	+	3.85494i	0.0569584	+	0.127931i
$909$	6.21255	−	19.1203i	0.206057	−	0.634179i
$910$	1.09161	+	0.310439i	0.0361864	+	0.0102909i
$911$	32.0559	−	23.2900i	1.06206	−	0.771631i	0.0875908	−	0.996157i	$-0.472083\pi$
$911$	32.0559	−	23.2900i	1.06206	−	0.771631i	0.974468	+	0.224525i	$0.0720832\pi$
$912$	5.41405	−	9.37741i	0.179277	−	0.310517i
$913$	−0.493546	+	0.273516i	−0.0163340	+	0.00905207i
$914$	−18.9790	−	32.8725i	−0.627768	−	1.08733i
$915$	−38.3624	−	49.5070i	−1.26822	−	1.63665i
$916$	17.5850	−	5.71371i	0.581025	−	0.188786i
$917$	−2.10977	−	2.86652i	−0.0696708	−	0.0946608i
$918$	−4.89217	+	6.73350i	−0.161466	+	0.222239i
$919$	21.3818	+	48.0243i	0.705321	+	1.58418i	0.807810	+	0.589443i	$0.200653\pi$
$919$	21.3818	+	48.0243i	0.705321	+	1.58418i	−0.102489	+	0.994734i	$0.532681\pi$
$920$	−3.73554	−	3.89924i	−0.123157	−	0.128554i
$921$	−26.0223	−	23.4306i	−0.857464	−	0.772064i
$922$	4.17826	+	39.7535i	0.137604	+	1.30921i
$923$			1.59009i			0.0523385i
$924$	−3.58206	−	17.8488i	−0.117841	−	0.587183i
$925$	7.60869	+	3.78637i	0.250172	+	0.124495i
$926$	−13.0801	+	1.37477i	−0.429838	+	0.0451777i
$927$	−12.8922	+	14.3183i	−0.423436	+	0.470274i
$928$	−1.13877	−	5.35749i	−0.0373820	−	0.175868i
$929$	4.43457	+	9.96020i	0.145493	+	0.326784i	0.971562	−	0.236786i	$-0.0760942\pi$
$929$	4.43457	+	9.96020i	0.145493	+	0.326784i	−0.826068	+	0.563570i	$0.809427\pi$
$930$	−1.58426	+	21.4285i	−0.0519500	+	0.702669i
$931$	−18.6564	−	31.4128i	−0.611438	−	1.02951i
$932$	−5.78101	−	17.7921i	−0.189363	−	0.582800i
$933$	−63.8127	+	6.70698i	−2.08913	+	0.219577i
$934$	4.10862	+	7.11633i	0.134438	+	0.232853i
$935$	15.9298	−	7.34922i	0.520959	−	0.240345i
$936$	−0.216642	−	0.125078i	−0.00708117	−	0.00408832i
$937$	5.87337	+	8.08400i	0.191875	+	0.264093i	0.894105	−	0.447857i	$-0.147813\pi$
$937$	5.87337	+	8.08400i	0.191875	+	0.264093i	−0.702231	+	0.711949i	$0.747813\pi$
$938$	−22.0483	+	4.82878i	−0.719904	+	0.157665i
$939$	−15.7739	+	48.5470i	−0.514761	+	1.58427i
$940$	−0.556373	+	0.817808i	−0.0181469	+	0.0266740i
$941$	4.87449	−	46.3777i	0.158904	−	1.51187i	−0.566796	−	0.823858i	$-0.691817\pi$
$941$	4.87449	−	46.3777i	0.158904	−	1.51187i	0.725700	−	0.688011i	$-0.241516\pi$
$942$	26.0247	−	5.53172i	0.847930	−	0.180233i
$943$	−2.95102	+	13.8835i	−0.0960985	+	0.452108i
$944$	−2.91093	−	4.00656i	−0.0947429	−	0.130402i
$945$	1.40674	−	20.7679i	0.0457611	−	0.675580i
$946$	11.9218	−	34.6127i	0.387610	−	1.12536i
$947$	−21.7268	−	12.5440i	−0.706026	−	0.407624i	0.103562	−	0.994623i	$-0.466976\pi$
$947$	−21.7268	−	12.5440i	−0.706026	−	0.407624i	−0.809588	+	0.586999i	$0.800309\pi$
$948$	8.23457	−	18.4951i	0.267446	−	0.600694i
$949$	−1.36301	+	1.51377i	−0.0442450	+	0.0491391i
$950$	−25.1422	+	6.99305i	−0.815721	+	0.226884i
$951$	36.1585	−	49.7679i	1.17252	−	1.61384i
$952$	6.12978	+	1.26348i	0.198667	+	0.0409495i
$953$	9.18387	−	28.2650i	0.297495	−	0.915595i	−0.684877	−	0.728658i	$-0.740144\pi$
$953$	9.18387	−	28.2650i	0.297495	−	0.915595i	0.982372	−	0.186936i	$-0.0598558\pi$
$954$	0.600648	−	2.82583i	0.0194467	−	0.0914895i
$955$	2.08645	−	0.284757i	0.0675158	−	0.00921452i
$956$	−20.2120	+	11.6694i	−0.653704	+	0.377416i
$957$	37.5439	−	3.28112i	1.21362	−	0.106063i
$958$	−1.85160			−0.0598224
$959$	−12.8961	+	22.6581i	−0.416436	+	0.731668i
$960$	−3.54176	−	2.99602i	−0.114310	−	0.0966962i
$961$	6.38761	+	7.09416i	0.206052	+	0.228844i
$962$	0.0340831	−	0.324279i	0.00109888	−	0.0104552i
$963$	0.614883	−	5.85022i	0.0198143	−	0.188521i
$964$	−14.3074	−	15.8900i	−0.460810	−	0.511782i
$965$	38.5355	+	32.5977i	1.24050	+	1.04936i
$966$	13.2549	−	0.0817212i	0.426469	−	0.00262934i
$967$	14.3605			0.461803			0.230902	−	0.972977i	$-0.425832\pi$
$967$	14.3605			0.461803			0.230902	+	0.972977i	$0.425832\pi$
$968$	−5.83086	+	9.32743i	−0.187411	+	0.299795i
$969$	−22.1827	+	12.8072i	−0.712610	+	0.411426i
$970$	−0.759316	+	0.103631i	−0.0243802	+	0.00332739i
$971$	−0.410951	+	1.93337i	−0.0131880	+	0.0620448i	−0.984250	−	0.176785i	$-0.943430\pi$
$971$	−0.410951	+	1.93337i	−0.0131880	+	0.0620448i	0.971062	+	0.238830i	$0.0767637\pi$
$972$	−3.92588	+	12.0826i	−0.125923	+	0.387551i
$973$	13.4503	+	11.9614i	0.431198	+	0.383465i
$974$	−5.67905	+	7.81655i	−0.181969	+	0.250458i
$975$	0.533225	+	1.91711i	0.0170769	+	0.0613967i
$976$	−9.03390	+	10.0332i	−0.289168	+	0.321154i
$977$	11.1990	−	25.1533i	0.358287	−	0.804726i	−0.641021	−	0.767524i	$-0.721489\pi$
$977$	11.1990	−	25.1533i	0.358287	−	0.804726i	0.999308	−	0.0372025i	$-0.0118447\pi$
$978$	−8.12222	−	4.68937i	−0.259720	−	0.149949i
$979$	7.38173	+	10.5443i	0.235921	+	0.336998i
$980$	−14.6633	+	5.47603i	−0.468403	+	0.174925i
$981$	−11.5265	−	15.8649i	−0.368014	−	0.506528i
$982$	−5.13201	+	24.1442i	−0.163769	+	0.770473i
$983$	13.5653	−	2.88339i	0.432665	−	0.0919659i	0.0135697	−	0.999908i	$-0.495680\pi$
$983$	13.5653	−	2.88339i	0.432665	−	0.0919659i	0.419096	+	0.907942i	$0.362347\pi$
$984$	−1.27459	+	12.1269i	−0.0406324	+	0.386592i
$985$	−22.2646	+	32.7265i	−0.709408	+	1.04275i
$986$	−4.00378	+	12.3224i	−0.127506	+	0.392424i
$987$	−0.519446	−	2.37180i	−0.0165342	−	0.0754953i
$988$	0.588508	+	0.810012i	0.0187229	+	0.0257699i
$989$	23.0840	+	13.3275i	0.734027	+	0.423791i
$990$	7.09981	−	6.56675i	0.225647	−	0.208705i
$991$	19.7426	+	34.1951i	0.627143	+	1.08624i	0.988122	+	0.153670i	$0.0491094\pi$
$991$	19.7426	+	34.1951i	0.627143	+	1.08624i	−0.360979	+	0.932574i	$0.617557\pi$
$992$	4.60646	−	0.484158i	0.146255	−	0.0153720i
$993$	−14.9882	−	46.1291i	−0.475638	−	1.46386i
$994$	−12.9996	−	17.6624i	−0.412324	−	0.560219i
$995$	0.483706	−	6.54255i	0.0153345	−	0.207413i
$996$	−0.143563	−	0.322447i	−0.00454895	−	0.0102171i
$997$	−6.86261	−	32.2860i	−0.217341	−	1.02251i	−0.942572	−	0.334003i	$-0.891600\pi$
$997$	−6.86261	−	32.2860i	−0.217341	−	1.02251i	0.725231	−	0.688506i	$-0.241733\pi$
$998$	−21.1218	+	23.4582i	−0.668599	+	0.742555i
$999$	−5.94774	+	0.625132i	−0.188178	+	0.0197783i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	770.2.br.b.19.19	yes	192
5.4	even	2		770.2.br.a.19.6	✓	192
7.3	odd	6	inner	770.2.br.b.129.19	yes	192
11.7	odd	10		770.2.br.a.579.6	yes	192
35.24	odd	6		770.2.br.a.129.6	yes	192
55.29	odd	10	inner	770.2.br.b.579.19	yes	192
77.73	even	30		770.2.br.a.689.6	yes	192
385.304	even	30	inner	770.2.br.b.689.19	yes	192

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
770.2.br.a.19.6	✓	192	5.4	even	2
770.2.br.a.129.6	yes	192	35.24	odd	6
770.2.br.a.579.6	yes	192	11.7	odd	10
770.2.br.a.689.6	yes	192	77.73	even	30
770.2.br.b.19.19	yes	192	1.1	even	1	trivial
770.2.br.b.129.19	yes	192	7.3	odd	6	inner
770.2.br.b.579.19	yes	192	55.29	odd	10	inner
770.2.br.b.689.19	yes	192	385.304	even	30	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	770.br (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.104528 - 0.994522i) q^{2} +(1.38819 - 1.54174i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(-1.25777 + 1.84879i) q^{5} +(-1.67840 - 1.21943i) q^{6} +(-1.06120 + 2.42360i) q^{7} +(0.309017 + 0.951057i) q^{8} +(-0.136310 - 1.29690i) q^{9} +O(q^{10})\)	\(q+(-0.104528 - 0.994522i) q^{2} +(1.38819 - 1.54174i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(-1.25777 + 1.84879i) q^{5} +(-1.67840 - 1.21943i) q^{6} +(-1.06120 + 2.42360i) q^{7} +(0.309017 + 0.951057i) q^{8} +(-0.136310 - 1.29690i) q^{9} +(1.97013 + 1.05763i) q^{10} +(3.00575 + 1.40195i) q^{11} +(-1.03731 + 1.79667i) q^{12} +(-0.112756 - 0.155195i) q^{13} +(2.52125 + 0.802053i) q^{14} +(1.10433 + 4.50563i) q^{15} +(0.913545 - 0.406737i) q^{16} +(-2.35258 - 0.247266i) q^{17} +(-1.27555 + 0.271126i) q^{18} +(5.10527 + 1.08516i) q^{19} +(0.845901 - 2.06989i) q^{20} +(2.26342 + 5.00052i) q^{21} +(1.08008 - 3.13583i) q^{22} +(2.09135 + 1.20744i) q^{23} +(1.89526 + 0.843824i) q^{24} +(-1.83603 - 4.65070i) q^{25} +(-0.142558 + 0.128360i) q^{26} +(2.84649 + 2.06810i) q^{27} +(0.534117 - 2.59128i) q^{28} +(5.20911 + 1.69254i) q^{29} +(4.36551 - 1.56924i) q^{30} +(-1.88394 + 4.23139i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(6.33400 - 2.68792i) q^{33} +2.36554i q^{34} +(-3.14598 - 5.01027i) q^{35} +(0.402972 + 1.24022i) q^{36} +(-1.26316 + 1.13735i) q^{37} +(0.545568 - 5.19073i) q^{38} +(-0.395797 - 0.0415999i) q^{39} +(-2.14697 - 0.624904i) q^{40} +(1.81627 + 5.58989i) q^{41} +(4.73654 - 2.77372i) q^{42} +11.0378 q^{43} +(-3.23155 - 0.746382i) q^{44} +(2.56914 + 1.37920i) q^{45} +(0.982222 - 2.20611i) q^{46} +(-0.432682 - 0.0919694i) q^{47} +(0.641093 - 1.97308i) q^{48} +(-4.74770 - 5.14386i) q^{49} +(-4.43331 + 2.31210i) q^{50} +(-3.64706 + 3.28383i) q^{51} +(0.142558 + 0.128360i) q^{52} +(-0.901076 + 2.02385i) q^{53} +(1.75923 - 3.04708i) q^{54} +(-6.37245 + 3.79366i) q^{55} +(-2.63291 - 0.260329i) q^{56} +(8.76012 - 6.36460i) q^{57} +(1.13877 - 5.35749i) q^{58} +(-1.02966 - 4.84416i) q^{59} +(-2.01697 - 4.17757i) q^{60} +(-12.3337 + 5.49133i) q^{61} +(4.40513 + 1.43131i) q^{62} +(3.28783 + 1.04591i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(0.428743 - 0.0132617i) q^{65} +(-3.33528 - 6.01834i) q^{66} +(-7.38807 + 4.26550i) q^{67} +(2.35258 - 0.247266i) q^{68} +(4.76476 - 1.54816i) q^{69} +(-4.65398 + 3.65246i) q^{70} +(-6.70594 - 4.87215i) q^{71} +(1.19131 - 0.530403i) q^{72} +(-2.20773 - 10.3866i) q^{73} +(1.26316 + 1.13735i) q^{74} +(-9.71894 - 3.62538i) q^{75} -5.21932 q^{76} +(-6.58748 + 5.79700i) q^{77} +0.397977i q^{78} +(-9.70518 + 1.02006i) q^{79} +(-0.397061 + 2.20053i) q^{80} +(10.9666 - 2.33102i) q^{81} +(5.36942 - 2.39062i) q^{82} +(-0.100002 + 0.137641i) q^{83} +(-3.25363 - 4.42066i) q^{84} +(3.41615 - 4.03842i) q^{85} +(-1.15377 - 10.9774i) q^{86} +(9.84071 - 5.68153i) q^{87} +(-0.404504 + 3.29187i) q^{88} +(3.36093 + 1.94043i) q^{89} +(1.10309 - 2.69923i) q^{90} +(0.495787 - 0.108582i) q^{91} +(-2.29669 - 0.746240i) q^{92} +(3.90845 + 8.77852i) q^{93} +(-0.0462380 + 0.439925i) q^{94} +(-8.42748 + 8.07367i) q^{95} +(-2.02928 - 0.431338i) q^{96} +(-0.277270 + 0.201448i) q^{97} +(-4.61942 + 5.25937i) q^{98} +(1.40848 - 4.08927i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 192 q + 24 q^{2} + 24 q^{4} + 6 q^{5} - 6 q^{7} - 48 q^{8} + 18 q^{9}+O(q^{10}) \) 192 * q + 24 * q^2 + 24 * q^4 + 6 * q^5 - 6 * q^7 - 48 * q^8 + 18 * q^9	\( 192 q + 24 q^{2} + 24 q^{4} + 6 q^{5} - 6 q^{7} - 48 q^{8} + 18 q^{9} - 6 q^{10} - q^{11} + 3 q^{14} + 6 q^{15} + 24 q^{16} + 28 q^{18} + 2 q^{22} - 30 q^{25} + 6 q^{26} - 2 q^{28} - 3 q^{30} + 18 q^{31} - 96 q^{32} - 24 q^{33} + 13 q^{35} - 56 q^{36} + 15 q^{38} - 10 q^{39} + 6 q^{40} - 24 q^{43} - 11 q^{44} - 6 q^{45} - 4 q^{49} - 20 q^{50} - 30 q^{51} - 6 q^{52} + 10 q^{53} + 4 q^{56} + 4 q^{57} + 12 q^{60} - 30 q^{61} - 63 q^{63} - 48 q^{64} + 20 q^{65} - 96 q^{66} + 42 q^{70} - 40 q^{71} + 18 q^{72} - 42 q^{73} + 15 q^{75} - 19 q^{77} + 24 q^{80} - 18 q^{81} + 90 q^{82} + 50 q^{85} - 18 q^{86} + 72 q^{87} + 4 q^{88} - 60 q^{89} + q^{91} + 50 q^{92} - 130 q^{93} + 75 q^{94} + 31 q^{95} - 42 q^{98} - 22 q^{99}+O(q^{100}) \) 192 * q + 24 * q^2 + 24 * q^4 + 6 * q^5 - 6 * q^7 - 48 * q^8 + 18 * q^9 - 6 * q^10 - q^11 + 3 * q^14 + 6 * q^15 + 24 * q^16 + 28 * q^18 + 2 * q^22 - 30 * q^25 + 6 * q^26 - 2 * q^28 - 3 * q^30 + 18 * q^31 - 96 * q^32 - 24 * q^33 + 13 * q^35 - 56 * q^36 + 15 * q^38 - 10 * q^39 + 6 * q^40 - 24 * q^43 - 11 * q^44 - 6 * q^45 - 4 * q^49 - 20 * q^50 - 30 * q^51 - 6 * q^52 + 10 * q^53 + 4 * q^56 + 4 * q^57 + 12 * q^60 - 30 * q^61 - 63 * q^63 - 48 * q^64 + 20 * q^65 - 96 * q^66 + 42 * q^70 - 40 * q^71 + 18 * q^72 - 42 * q^73 + 15 * q^75 - 19 * q^77 + 24 * q^80 - 18 * q^81 + 90 * q^82 + 50 * q^85 - 18 * q^86 + 72 * q^87 + 4 * q^88 - 60 * q^89 + q^91 + 50 * q^92 - 130 * q^93 + 75 * q^94 + 31 * q^95 - 42 * q^98 - 22 * q^99

Introduction

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