LMFDB - Embedded newform 288.2.bf.a.11.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [288,2,Mod(11,288)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(288, base_ring=CyclotomicField(24))

chi = DirichletCharacter(H, H._module([12, 15, 4]))

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

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

chi := DirichletCharacter("288.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 288 = 2^{5} \cdot 3^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	288.bf (of order $24$, 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:	$2.29969157821$
Analytic rank:	$0$
Dimension:	$368$
Relative dimension:	$46$ over $\Q(\zeta_{24})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label			11.10
Character	$\chi$	$=$	288.11
Dual form			288.2.bf.a.131.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.14354 + 0.832059i) q^{2} +(0.897985 - 1.48109i) q^{3} +(0.615355 - 1.90298i) q^{4} +(-0.289571 - 2.19951i) q^{5} +(0.205474 + 2.44086i) q^{6} +(-0.477791 - 1.78314i) q^{7} +(0.879712 + 2.68814i) q^{8} +(-1.38725 - 2.65999i) q^{9} +O(q^{10})$	\(q+(-1.14354 + 0.832059i) q^{2} +(0.897985 - 1.48109i) q^{3} +(0.615355 - 1.90298i) q^{4} +(-0.289571 - 2.19951i) q^{5} +(0.205474 + 2.44086i) q^{6} +(-0.477791 - 1.78314i) q^{7} +(0.879712 + 2.68814i) q^{8} +(-1.38725 - 2.65999i) q^{9} +(2.16126 + 2.27428i) q^{10} +(-2.94008 + 2.25601i) q^{11} +(-2.26590 - 2.62024i) q^{12} +(0.112334 - 0.146396i) q^{13} +(2.03005 + 1.64154i) q^{14} +(-3.51770 - 1.54625i) q^{15} +(-3.24268 - 2.34202i) q^{16} -5.58260 q^{17} +(3.79964 + 1.88753i) q^{18} +(0.748304 - 0.309958i) q^{19} +(-4.36382 - 0.802432i) q^{20} +(-3.07004 - 0.893581i) q^{21} +(1.48497 - 5.02615i) q^{22} +(6.50671 + 1.74347i) q^{23} +(4.77134 + 1.11098i) q^{24} +(0.0756229 - 0.0202631i) q^{25} +(-0.00664754 + 0.260878i) q^{26} +(-5.18541 - 0.333995i) q^{27} +(-3.68729 - 0.188037i) q^{28} +(-2.28003 - 0.300172i) q^{29} +(5.30920 - 1.15875i) q^{30} +(4.48042 - 2.58677i) q^{31} +(5.65682 - 0.0199135i) q^{32} +(0.701194 + 6.38038i) q^{33} +(6.38391 - 4.64505i) q^{34} +(-3.78368 + 1.56725i) q^{35} +(-5.91556 + 1.00307i) q^{36} +(3.61484 - 8.72698i) q^{37} +(-0.597810 + 0.977081i) q^{38} +(-0.115952 - 0.297838i) q^{39} +(5.65786 - 2.71335i) q^{40} +(2.79033 - 10.4137i) q^{41} +(4.25421 - 1.53261i) q^{42} +(1.12512 + 1.46629i) q^{43} +(2.48394 + 6.98317i) q^{44} +(-5.44898 + 3.82152i) q^{45} +(-8.89133 + 3.42025i) q^{46} +(7.82386 + 4.51711i) q^{47} +(-6.38061 + 2.69959i) q^{48} +(3.11088 - 1.79607i) q^{49} +(-0.0696175 + 0.0860944i) q^{50} +(-5.01309 + 8.26832i) q^{51} +(-0.209464 - 0.303855i) q^{52} +(2.44268 - 5.89716i) q^{53} +(6.20761 - 3.93263i) q^{54} +(5.81348 + 5.81348i) q^{55} +(4.37301 - 2.85302i) q^{56} +(0.212891 - 1.38664i) q^{57} +(2.85707 - 1.55387i) q^{58} +(-6.80223 + 0.895530i) q^{59} +(-5.10712 + 5.74263i) q^{60} +(-0.733704 + 5.57303i) q^{61} +(-2.97118 + 6.68604i) q^{62} +(-4.08032 + 3.74457i) q^{63} +(-6.45221 + 4.72958i) q^{64} +(-0.354529 - 0.204688i) q^{65} +(-6.11070 - 6.71277i) q^{66} +(-1.84680 + 2.40680i) q^{67} +(-3.43528 + 10.6236i) q^{68} +(8.42515 - 8.07140i) q^{69} +(3.02274 - 4.94046i) q^{70} +(0.892619 + 0.892619i) q^{71} +(5.93005 - 6.06914i) q^{72} +(-9.47565 + 9.47565i) q^{73} +(3.12767 + 12.9874i) q^{74} +(0.0378968 - 0.130200i) q^{75} +(-0.129371 - 1.61474i) q^{76} +(5.42752 + 4.16468i) q^{77} +(0.380414 + 0.244110i) q^{78} +(-1.75734 + 3.04381i) q^{79} +(-4.21231 + 7.81049i) q^{80} +(-5.15109 + 7.38013i) q^{81} +(5.47393 + 14.2301i) q^{82} +(-7.08133 - 0.932274i) q^{83} +(-3.58963 + 5.29235i) q^{84} +(1.61656 + 12.2790i) q^{85} +(-2.50666 - 0.740587i) q^{86} +(-2.49202 + 3.10738i) q^{87} +(-8.65089 - 5.91873i) q^{88} +(11.4972 - 11.4972i) q^{89} +(3.05137 - 8.90393i) q^{90} +(-0.314717 - 0.130360i) q^{91} +(7.32172 - 11.3093i) q^{92} +(0.192111 - 8.95878i) q^{93} +(-12.7054 + 1.34443i) q^{94} +(-0.898443 - 1.55615i) q^{95} +(5.05024 - 8.39613i) q^{96} +(-0.782440 + 1.35523i) q^{97} +(-2.06297 + 4.64230i) q^{98} +(10.0796 + 4.69096i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 368 q - 12 q^{2} - 8 q^{3} - 4 q^{4} - 12 q^{5} - 8 q^{6} - 4 q^{7} - 8 q^{9}+O(q^{10}) $ 368 * q - 12 * q^2 - 8 * q^3 - 4 * q^4 - 12 * q^5 - 8 * q^6 - 4 * q^7 - 8 * q^9	$ 368 q - 12 q^{2} - 8 q^{3} - 4 q^{4} - 12 q^{5} - 8 q^{6} - 4 q^{7} - 8 q^{9} - 16 q^{10} - 12 q^{11} - 8 q^{12} - 4 q^{13} - 12 q^{14} - 16 q^{15} - 4 q^{16} - 8 q^{18} - 16 q^{19} - 12 q^{20} - 8 q^{21} - 4 q^{22} - 12 q^{23} + 32 q^{24} - 4 q^{25} + 16 q^{27} - 16 q^{28} - 12 q^{29} - 56 q^{30} - 12 q^{32} - 16 q^{33} - 12 q^{34} - 60 q^{36} - 16 q^{37} - 12 q^{38} + 16 q^{39} - 4 q^{40} - 12 q^{41} - 8 q^{42} - 4 q^{43} - 8 q^{45} - 16 q^{46} - 24 q^{47} - 60 q^{48} - 168 q^{50} - 32 q^{51} - 4 q^{52} - 52 q^{54} - 16 q^{55} - 12 q^{56} - 8 q^{57} + 32 q^{58} - 12 q^{59} - 20 q^{60} - 4 q^{61} - 16 q^{64} - 24 q^{65} - 80 q^{66} - 4 q^{67} - 60 q^{68} - 8 q^{69} - 4 q^{70} + 52 q^{72} - 16 q^{73} - 12 q^{74} - 28 q^{75} - 28 q^{76} - 12 q^{77} + 80 q^{78} - 8 q^{79} - 16 q^{82} - 132 q^{83} - 104 q^{84} - 24 q^{85} - 12 q^{86} - 64 q^{87} - 4 q^{88} + 124 q^{90} - 16 q^{91} + 216 q^{92} - 20 q^{93} - 20 q^{94} + 92 q^{96} - 8 q^{97} - 72 q^{99}+O(q^{100}) $ 368 * q - 12 * q^2 - 8 * q^3 - 4 * q^4 - 12 * q^5 - 8 * q^6 - 4 * q^7 - 8 * q^9 - 16 * q^10 - 12 * q^11 - 8 * q^12 - 4 * q^13 - 12 * q^14 - 16 * q^15 - 4 * q^16 - 8 * q^18 - 16 * q^19 - 12 * q^20 - 8 * q^21 - 4 * q^22 - 12 * q^23 + 32 * q^24 - 4 * q^25 + 16 * q^27 - 16 * q^28 - 12 * q^29 - 56 * q^30 - 12 * q^32 - 16 * q^33 - 12 * q^34 - 60 * q^36 - 16 * q^37 - 12 * q^38 + 16 * q^39 - 4 * q^40 - 12 * q^41 - 8 * q^42 - 4 * q^43 - 8 * q^45 - 16 * q^46 - 24 * q^47 - 60 * q^48 - 168 * q^50 - 32 * q^51 - 4 * q^52 - 52 * q^54 - 16 * q^55 - 12 * q^56 - 8 * q^57 + 32 * q^58 - 12 * q^59 - 20 * q^60 - 4 * q^61 - 16 * q^64 - 24 * q^65 - 80 * q^66 - 4 * q^67 - 60 * q^68 - 8 * q^69 - 4 * q^70 + 52 * q^72 - 16 * q^73 - 12 * q^74 - 28 * q^75 - 28 * q^76 - 12 * q^77 + 80 * q^78 - 8 * q^79 - 16 * q^82 - 132 * q^83 - 104 * q^84 - 24 * q^85 - 12 * q^86 - 64 * q^87 - 4 * q^88 + 124 * q^90 - 16 * q^91 + 216 * q^92 - 20 * q^93 - 20 * q^94 + 92 * q^96 - 8 * q^97 - 72 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/288\mathbb{Z}\right)^\times$.

$n$	$37$	$65$	$127$
$\chi(n)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{1}{6}\right)$	$-1$

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 $

$2$	−1.14354	+	0.832059i	−0.808603	+	0.588355i
$2$	−1.14354	+	0.832059i	−0.808603	+	0.588355i
$3$	0.897985	−	1.48109i	0.518452	−	0.855107i
$3$	0.897985	−	1.48109i	0.518452	−	0.855107i
$4$	0.615355	−	1.90298i	0.307678	−	0.951491i
$5$	−0.289571	−	2.19951i	−0.129500	−	0.983652i	−0.925604	−	0.378492i	$-0.876443\pi$
$5$	−0.289571	−	2.19951i	−0.129500	−	0.983652i	0.796104	−	0.605160i	$-0.206891\pi$
$6$	0.205474	+	2.44086i	0.0838846	+	0.996475i
$7$	−0.477791	−	1.78314i	−0.180588	−	0.673963i	−0.995532	−	0.0944237i	$-0.969899\pi$
$7$	−0.477791	−	1.78314i	−0.180588	−	0.673963i	0.814944	−	0.579539i	$-0.196768\pi$
$8$	0.879712	+	2.68814i	0.311025	+	0.950402i
$9$	−1.38725	−	2.65999i	−0.462416	−	0.886663i
$10$	2.16126	+	2.27428i	0.683451	+	0.719192i
$11$	−2.94008	+	2.25601i	−0.886469	+	0.680211i	−0.948129	−	0.317886i	$-0.897027\pi$
$11$	−2.94008	+	2.25601i	−0.886469	+	0.680211i	0.0616602	+	0.998097i	$0.480360\pi$
$12$	−2.26590	−	2.62024i	−0.654110	−	0.756399i
$13$	0.112334	−	0.146396i	0.0311558	−	0.0406030i	−0.777516	−	0.628864i	$-0.783520\pi$
$13$	0.112334	−	0.146396i	0.0311558	−	0.0406030i	0.808671	+	0.588261i	$0.200187\pi$
$14$	2.03005	+	1.64154i	0.542553	+	0.438719i
$15$	−3.51770	−	1.54625i	−0.908267	−	0.399240i
$16$	−3.24268	−	2.34202i	−0.810669	−	0.585505i
$17$	−5.58260			−1.35398			−0.676989	−	0.735993i	$-0.736716\pi$
$17$	−5.58260			−1.35398			−0.676989	+	0.735993i	$0.736716\pi$
$18$	3.79964	+	1.88753i	0.895583	+	0.444894i
$19$	0.748304	−	0.309958i	0.171673	−	0.0711092i	−0.295192	−	0.955438i	$-0.595384\pi$
$19$	0.748304	−	0.309958i	0.171673	−	0.0711092i	0.466865	+	0.884329i	$0.345384\pi$
$20$	−4.36382	−	0.802432i	−0.975780	−	0.179429i
$21$	−3.07004	−	0.893581i	−0.669937	−	0.194995i
$22$	1.48497	−	5.02615i	0.316596	−	1.07158i
$23$	6.50671	+	1.74347i	1.35674	+	0.363538i	0.862619	−	0.505854i	$-0.168823\pi$
$23$	6.50671	+	1.74347i	1.35674	+	0.363538i	0.494123	+	0.869392i	$0.335489\pi$
$24$	4.77134	+	1.11098i	0.973947	+	0.226778i
$25$	0.0756229	−	0.0202631i	0.0151246	−	0.00405262i
$26$	−0.00664754	+	0.260878i	−0.00130369	+	0.0511624i
$27$	−5.18541	−	0.333995i	−0.997932	−	0.0642773i
$28$	−3.68729	−	0.188037i	−0.696832	−	0.0355356i
$29$	−2.28003	−	0.300172i	−0.423392	−	0.0557406i	−0.0841799	−	0.996451i	$-0.526827\pi$
$29$	−2.28003	−	0.300172i	−0.423392	−	0.0557406i	−0.339212	+	0.940710i	$0.610160\pi$
$30$	5.30920	−	1.15875i	0.969322	−	0.211557i
$31$	4.48042	−	2.58677i	0.804707	−	0.464598i	−0.0404073	−	0.999183i	$-0.512866\pi$
$31$	4.48042	−	2.58677i	0.804707	−	0.464598i	0.845114	+	0.534585i	$0.179532\pi$
$32$	5.65682	−	0.0199135i	0.999994	−	0.00352025i
$33$	0.701194	+	6.38038i	0.122062	+	1.11068i
$34$	6.38391	−	4.64505i	1.09483	−	0.796620i
$35$	−3.78368	+	1.56725i	−0.639559	+	0.264914i
$36$	−5.91556	+	1.00307i	−0.985927	+	0.167178i
$37$	3.61484	−	8.72698i	0.594275	−	1.43471i	−0.285063	−	0.958509i	$-0.592014\pi$
$37$	3.61484	−	8.72698i	0.594275	−	1.43471i	0.879338	−	0.476198i	$-0.157986\pi$
$38$	−0.597810	+	0.977081i	−0.0969776	+	0.158504i
$39$	−0.115952	−	0.297838i	−0.0185672	−	0.0476923i
$40$	5.65786	−	2.71335i	0.894587	−	0.429018i
$41$	2.79033	−	10.4137i	0.435777	−	1.62634i	−0.303424	−	0.952856i	$-0.598130\pi$
$41$	2.79033	−	10.4137i	0.435777	−	1.62634i	0.739201	−	0.673485i	$-0.235203\pi$
$42$	4.25421	−	1.53261i	0.656439	−	0.236486i
$43$	1.12512	+	1.46629i	0.171580	+	0.223607i	0.871226	−	0.490883i	$-0.163326\pi$
$43$	1.12512	+	1.46629i	0.171580	+	0.223607i	−0.699646	+	0.714490i	$0.746659\pi$
$44$	2.48394	+	6.98317i	0.374468	+	1.05275i
$45$	−5.44898	+	3.82152i	−0.812285	+	0.569679i
$46$	−8.89133	+	3.42025i	−1.31096	+	0.504288i
$47$	7.82386	+	4.51711i	1.14123	+	0.658887i	0.946734	−	0.322017i	$-0.104361\pi$
$47$	7.82386	+	4.51711i	1.14123	+	0.658887i	0.194493	+	0.980904i	$0.437694\pi$
$48$	−6.38061	+	2.69959i	−0.920962	+	0.389653i
$49$	3.11088	−	1.79607i	0.444411	−	0.256581i
$50$	−0.0696175	+	0.0860944i	−0.00984541	+	0.0121756i
$51$	−5.01309	+	8.26832i	−0.701973	+	1.15780i
$52$	−0.209464	−	0.303855i	−0.0290475	−	0.0421371i
$53$	2.44268	−	5.89716i	0.335529	−	0.810038i	−0.662605	−	0.748969i	$-0.730549\pi$
$53$	2.44268	−	5.89716i	0.335529	−	0.810038i	0.998134	−	0.0610686i	$-0.0194508\pi$
$54$	6.20761	−	3.93263i	0.844749	−	0.535163i
$55$	5.81348	+	5.81348i	0.783889	+	0.783889i
$56$	4.37301	−	2.85302i	0.584368	−	0.381250i
$57$	0.212891	−	1.38664i	0.0281981	−	0.183665i
$58$	2.85707	−	1.55387i	0.375151	−	0.204033i
$59$	−6.80223	+	0.895530i	−0.885574	+	0.116588i	−0.559573	−	0.828781i	$-0.689035\pi$
$59$	−6.80223	+	0.895530i	−0.885574	+	0.116588i	−0.326002	+	0.945369i	$0.605701\pi$
$60$	−5.10712	+	5.74263i	−0.659326	+	0.741371i
$61$	−0.733704	+	5.57303i	−0.0939411	+	0.713554i	0.878056	+	0.478559i	$0.158841\pi$
$61$	−0.733704	+	5.57303i	−0.0939411	+	0.713554i	−0.971997	+	0.234995i	$0.924493\pi$
$62$	−2.97118	+	6.68604i	−0.377340	+	0.849128i
$63$	−4.08032	+	3.74457i	−0.514072	+	0.471772i
$64$	−6.45221	+	4.72958i	−0.806527	+	0.591198i
$65$	−0.354529	−	0.204688i	−0.0439740	−	0.0253884i
$66$	−6.11070	−	6.71277i	−0.752175	−	0.826285i
$67$	−1.84680	+	2.40680i	−0.225623	+	0.294038i	−0.892424	−	0.451199i	$-0.850997\pi$
$67$	−1.84680	+	2.40680i	−0.225623	+	0.294038i	0.666801	+	0.745236i	$0.267663\pi$
$68$	−3.43528	+	10.6236i	−0.416589	+	1.28830i
$69$	8.42515	−	8.07140i	1.01427	−	0.971683i
$70$	3.02274	−	4.94046i	0.361286	−	0.590498i
$71$	0.892619	+	0.892619i	0.105934	+	0.105934i	0.758087	−	0.652153i	$-0.226134\pi$
$71$	0.892619	+	0.892619i	0.105934	+	0.105934i	−0.652153	+	0.758087i	$0.726134\pi$
$72$	5.93005	−	6.06914i	0.698863	−	0.715255i
$73$	−9.47565	+	9.47565i	−1.10904	+	1.10904i	−0.115764	+	0.993277i	$0.536932\pi$
$73$	−9.47565	+	9.47565i	−1.10904	+	1.10904i	−0.993277	+	0.115764i	$0.963068\pi$
$74$	3.12767	+	12.9874i	0.363584	+	1.50975i
$75$	0.0378968	−	0.130200i	0.00437594	−	0.0150342i
$76$	−0.129371	−	1.61474i	−0.0148399	−	0.185224i
$77$	5.42752	+	4.16468i	0.618523	+	0.474609i
$78$	0.380414	+	0.244110i	0.0430734	+	0.0276400i
$79$	−1.75734	+	3.04381i	−0.197716	+	0.342455i	−0.947788	−	0.318902i	$-0.896686\pi$
$79$	−1.75734	+	3.04381i	−0.197716	+	0.342455i	0.750071	+	0.661357i	$0.230019\pi$
$80$	−4.21231	+	7.81049i	−0.470951	+	0.873239i
$81$	−5.15109	+	7.38013i	−0.572344	+	0.820014i
$82$	5.47393	+	14.2301i	0.604495	+	1.57145i
$83$	−7.08133	−	0.932274i	−0.777277	−	0.102330i	−0.268558	−	0.963263i	$-0.586547\pi$
$83$	−7.08133	−	0.932274i	−0.777277	−	0.102330i	−0.508718	+	0.860933i	$0.669881\pi$
$84$	−3.58963	+	5.29235i	−0.391661	+	0.577443i
$85$	1.61656	+	12.2790i	0.175341	+	1.33184i
$86$	−2.50666	−	0.740587i	−0.270300	−	0.0798595i
$87$	−2.49202	+	3.10738i	−0.267172	+	0.333146i
$88$	−8.65089	−	5.91873i	−0.922188	−	0.630939i
$89$	11.4972	−	11.4972i	1.21870	−	1.21870i	0.250613	−	0.968087i	$-0.419368\pi$
$89$	11.4972	−	11.4972i	1.21870	−	1.21870i	0.968087	−	0.250613i	$-0.0806323\pi$
$90$	3.05137	−	8.90393i	0.321643	−	0.938556i
$91$	−0.314717	−	0.130360i	−0.0329913	−	0.0136655i
$92$	7.32172	−	11.3093i	0.763342	−	1.17908i
$93$	0.192111	−	8.95878i	0.0199209	−	0.928982i
$94$	−12.7054	+	1.34443i	−1.31046	+	0.138668i
$95$	−0.898443	−	1.55615i	−0.0921783	−	0.159658i
$96$	5.05024	−	8.39613i	0.515438	−	0.856927i
$97$	−0.782440	+	1.35523i	−0.0794448	+	0.137602i	−0.903011	−	0.429618i	$-0.858648\pi$
$97$	−0.782440	+	1.35523i	−0.0794448	+	0.137602i	0.823566	+	0.567221i	$0.191981\pi$
$98$	−2.06297	+	4.64230i	−0.208392	+	0.468943i
$99$	10.0796	+	4.69096i	1.01304	+	0.471459i
$100$	0.00797464	−	0.156378i	0.000797464	−	0.0156378i
$101$	8.22882	−	6.31419i	0.818798	−	0.628286i	−0.112046	−	0.993703i	$-0.535740\pi$
$101$	8.22882	−	6.31419i	0.818798	−	0.628286i	0.930844	+	0.365417i	$0.119074\pi$
$102$	−1.14708	−	13.6263i	−0.113578	−	1.34921i
$103$	13.5752	+	3.63748i	1.33761	+	0.358411i	0.855547	−	0.517726i	$-0.173221\pi$
$103$	13.5752	+	3.63748i	1.33761	+	0.358411i	0.482062	+	0.876137i	$0.339888\pi$
$104$	0.492356	+	0.173183i	0.0482794	+	0.0169820i
$105$	−1.07645	+	7.01134i	−0.105051	+	0.684237i
$106$	2.11349	+	8.77608i	0.205280	+	0.852409i
$107$	14.1196	+	5.84852i	1.36499	+	0.565397i	0.940425	−	0.340000i	$-0.110427\pi$
$107$	14.1196	+	5.84852i	1.36499	+	0.565397i	0.424565	+	0.905398i	$0.360427\pi$
$108$	−3.82645	+	9.66221i	−0.368201	+	0.929746i
$109$	−4.99001	−	12.0470i	−0.477956	−	1.15389i	−0.960566	−	0.278053i	$-0.910311\pi$
$109$	−4.99001	−	12.0470i	−0.477956	−	1.15389i	0.482609	−	0.875836i	$-0.339689\pi$
$110$	−11.4851	−	1.81077i	−1.09506	−	0.172650i
$111$	−9.67937	−	13.1906i	−0.918725	−	1.25200i
$112$	−2.62682	+	6.90114i	−0.248211	+	0.652096i
$113$	4.47909	+	7.75802i	0.421358	+	0.729813i	0.996073	−	0.0885407i	$-0.0282203\pi$
$113$	4.47909	+	7.75802i	0.421358	+	0.729813i	−0.574715	+	0.818354i	$0.694887\pi$
$114$	0.910319	+	1.76281i	0.0852592	+	0.165103i
$115$	1.95062	−	14.8164i	0.181896	−	1.38164i
$116$	−1.97425	+	4.15415i	−0.183305	+	0.385703i
$117$	−0.545248	−	0.0957191i	−0.0504082	−	0.00884923i
$118$	7.03346	−	6.68393i	0.647483	−	0.615305i
$119$	2.66731	+	9.95454i	0.244512	+	0.912532i
$120$	1.06197	−	10.8163i	0.0969440	−	0.987392i
$121$	0.707523	−	2.64051i	0.0643203	−	0.240047i
$122$	−3.79807	−	6.98345i	−0.343862	−	0.632252i
$123$	−12.9179	−	13.4840i	−1.16477	−	1.21581i
$124$	−2.16553	−	10.1179i	−0.194470	−	0.908618i
$125$	−4.31137	−	10.4086i	−0.385621	−	0.930970i
$126$	1.55029	−	7.67712i	0.138111	−	0.683932i
$127$			15.3339i			1.36066i	0.732906	+	0.680330i	$0.238164\pi$
$127$			15.3339i			1.36066i	−0.732906	+	0.680330i	$0.761836\pi$
$128$	3.44306	−	10.7771i	0.304326	−	0.952568i
$129$	3.18205	−	0.349702i	0.280164	−	0.0307895i
$130$	0.575730	−	0.0609215i	0.0504948	−	0.00534317i
$131$	−10.9967	−	8.43810i	−0.960790	−	0.737240i	0.00407370	−	0.999992i	$-0.498703\pi$
$131$	−10.9967	−	8.43810i	−0.960790	−	0.737240i	−0.964863	+	0.262752i	$0.915370\pi$
$132$	12.5732	+	2.59184i	1.09436	+	0.225591i
$133$	−0.910230	−	1.18623i	−0.0789270	−	0.102860i
$134$	0.109288	−	4.28892i	0.00944101	−	0.370506i
$135$	0.766920	+	11.5021i	0.0660060	+	0.989942i
$136$	−4.91108	−	15.0068i	−0.421121	−	1.28682i
$137$	−3.48621	+	0.934128i	−0.297847	+	0.0798080i	−0.404648	−	0.914472i	$-0.632606\pi$
$137$	−3.48621	+	0.934128i	−0.297847	+	0.0798080i	0.106801	+	0.994280i	$0.465939\pi$
$138$	−2.91859	+	16.2402i	−0.248447	+	1.38246i
$139$	9.41408	−	1.23939i	0.798492	−	0.105123i	0.279771	−	0.960067i	$-0.409742\pi$
$139$	9.41408	−	1.23939i	0.798492	−	0.105123i	0.518721	+	0.854943i	$0.326408\pi$
$140$	0.654145	+	8.16469i	0.0552853	+	0.690043i
$141$	13.7159	−	7.53153i	1.15509	−	0.634269i
$142$	−1.76345	−	0.278031i	−0.147986	−	0.0233319i
$143$			0.683844i			0.0571859i
$144$	−1.73135	+	11.8744i	−0.144279	+	0.989537i
$145$			5.10189i			0.423689i
$146$	2.95146	−	18.7201i	0.244264	−	1.54928i
$147$	0.133388	−	6.22033i	0.0110016	−	0.513044i
$148$	−14.3829	−	12.2492i	−1.18227	−	1.00687i
$149$	−1.13158	+	0.148975i	−0.0927027	+	0.0122045i	−0.176735	−	0.984259i	$-0.556554\pi$
$149$	−1.13158	+	0.148975i	−0.0927027	+	0.0122045i	0.0840321	+	0.996463i	$0.473220\pi$
$150$	0.0649979	+	0.180421i	0.00530706	+	0.0147313i
$151$	−3.81017	+	1.02093i	−0.310067	+	0.0830822i	−0.410497	−	0.911862i	$-0.634645\pi$
$151$	−3.81017	+	1.02093i	−0.310067	+	0.0830822i	0.100430	+	0.994944i	$0.467978\pi$
$152$	1.49150	+	1.73887i	0.120977	+	0.141041i
$153$	7.74444	+	14.8497i	0.626101	+	1.20052i
$154$	−9.67183	−	0.246452i	−0.779378	−	0.0198596i
$155$	−6.98704	−	9.10569i	−0.561212	−	0.731386i
$156$	−0.638132	+	0.0373781i	−0.0510915	+	0.00299264i
$157$	−2.08242	−	1.59790i	−0.166195	−	0.127526i	0.522315	−	0.852752i	$-0.325068\pi$
$157$	−2.08242	−	1.59790i	−0.166195	−	0.127526i	−0.688510	+	0.725226i	$0.741735\pi$
$158$	−0.523040	−	4.94292i	−0.0416109	−	0.393237i
$159$	−6.54073	−	8.91339i	−0.518713	−	0.706878i
$160$	−1.68185	−	12.4365i	−0.132962	−	0.983190i
$161$		−	12.4354i		−	0.980045i
$162$	−0.250235	−	12.7255i	−0.0196603	−	0.999807i
$163$	6.37982	+	15.4023i	0.499706	+	1.20640i	0.949642	+	0.313337i	$0.101447\pi$
$163$	6.37982	+	15.4023i	0.499706	+	1.20640i	−0.449936	+	0.893061i	$0.648553\pi$
$164$	−18.1000	−	11.7180i	−1.41337	−	0.915026i
$165$	13.8307	−	3.38986i	1.07672	−	0.263900i
$166$	8.87347	−	4.82599i	0.688715	−	0.374570i
$167$	5.64712	−	21.0753i	0.436987	−	1.63086i	−0.299278	−	0.954166i	$-0.596746\pi$
$167$	5.64712	−	21.0753i	0.436987	−	1.63086i	0.736265	−	0.676693i	$-0.236588\pi$
$168$	−0.298673	−	9.03878i	−0.0230431	−	0.697357i
$169$	3.35583	+	12.5241i	0.258141	+	0.963396i
$170$	−12.0654	−	12.6964i	−0.925378	−	0.973770i
$171$	−1.86257	−	1.56049i	−0.142434	−	0.119334i
$172$	3.48267	−	1.23880i	0.265551	−	0.0944576i
$173$	−2.90841	+	22.0916i	−0.221122	+	1.67959i	0.416419	+	0.909173i	$0.363285\pi$
$173$	−2.90841	+	22.0916i	−0.221122	+	1.67959i	−0.637541	+	0.770417i	$0.720048\pi$
$174$	0.264189	−	5.62692i	0.0200281	−	0.426575i
$175$	−0.0722639	−	0.125165i	−0.00546263	−	0.00946156i
$176$	14.8173	−	0.429766i	1.11690	−	0.0323949i
$177$	−4.78194	+	10.8789i	−0.359432	+	0.817706i
$178$	−3.58113	+	22.7138i	−0.268417	+	1.70247i
$179$	3.66347	+	8.84440i	0.273821	+	0.661061i	0.999640	−	0.0268238i	$-0.00853931\pi$
$179$	3.66347	+	8.84440i	0.273821	+	0.661061i	−0.725820	+	0.687885i	$0.758539\pi$
$180$	3.91924	+	12.7209i	0.292123	+	0.948159i
$181$	−3.53582	−	1.46459i	−0.262816	−	0.108862i	0.247385	−	0.968917i	$-0.420429\pi$
$181$	−3.53582	−	1.46459i	−0.262816	−	0.108862i	−0.510201	+	0.860055i	$0.670429\pi$
$182$	0.468358	−	0.112792i	0.0347170	−	0.00836067i
$183$	7.59530	+	6.09118i	0.561461	+	0.450273i
$184$	1.03734	+	19.0247i	0.0764737	+	1.40252i
$185$	−20.2419	−	5.42379i	−1.48821	−	0.398765i
$186$	7.23455	+	10.4045i	0.530463	+	0.762898i
$187$	16.4133	−	12.5944i	1.20026	−	0.920992i
$188$	13.4104	−	12.1090i	0.978055	−	0.883142i
$189$	1.88198	+	9.40588i	0.136894	+	0.684177i
$190$	2.32221	+	1.03196i	0.168471	+	0.0748660i
$191$	2.82119	−	4.88645i	0.204134	−	0.353571i	−0.745722	−	0.666257i	$-0.767895\pi$
$191$	2.82119	−	4.88645i	0.204134	−	0.353571i	0.949857	+	0.312686i	$0.101229\pi$
$192$	1.21094	+	13.8034i	0.0873919	+	0.996174i
$193$	10.3113	+	17.8596i	0.742220	+	1.28556i	0.951482	+	0.307703i	$0.0995604\pi$
$193$	10.3113	+	17.8596i	0.742220	+	1.28556i	−0.209262	+	0.977860i	$0.567106\pi$
$194$	−0.232879	−	2.20079i	−0.0167197	−	0.158007i
$195$	−0.621523	+	0.341283i	−0.0445082	+	0.0244398i
$196$	−1.50359	−	7.02516i	−0.107399	−	0.501797i
$197$	−5.27627	−	2.18550i	−0.375918	−	0.155710i	0.186721	−	0.982413i	$-0.440214\pi$
$197$	−5.27627	−	2.18550i	−0.375918	−	0.155710i	−0.562639	+	0.826703i	$0.690214\pi$
$198$	−15.4295	+	3.02252i	−1.09653	+	0.214801i
$199$	7.64455	−	7.64455i	0.541908	−	0.541908i	−0.382180	−	0.924088i	$-0.624827\pi$
$199$	7.64455	−	7.64455i	0.541908	−	0.541908i	0.924088	+	0.382180i	$0.124827\pi$
$200$	0.120996	+	0.185460i	0.00855574	+	0.0131140i
$201$	1.90628	+	4.89655i	0.134459	+	0.345376i
$202$	−4.15618	+	14.0674i	−0.292428	+	0.989777i
$203$	0.554130	+	4.20904i	0.0388923	+	0.295417i
$204$	12.6496	+	14.6278i	0.885651	+	1.02415i
$205$	−23.7130	−	3.12187i	−1.65619	−	0.218041i
$206$	−18.5504	+	7.13582i	−1.29247	+	0.497176i
$207$	−4.38880	−	19.7264i	−0.305043	−	1.37108i
$208$	−0.707125	+	0.211628i	−0.0490303	+	0.0146738i
$209$	−1.50081	+	2.59948i	−0.103813	+	0.179810i
$210$	−4.60289	−	8.91340i	−0.317629	−	0.615083i
$211$	−7.46230	−	5.72603i	−0.513726	−	0.394196i	0.319108	−	0.947718i	$-0.396617\pi$
$211$	−7.46230	−	5.72603i	−0.513726	−	0.394196i	−0.832834	+	0.553522i	$0.813283\pi$
$212$	−9.71907	−	8.27723i	−0.667509	−	0.568483i
$213$	2.12361	−	0.520490i	0.145507	−	0.0356634i
$214$	−21.0126	+	5.06032i	−1.43639	+	0.345916i
$215$	2.89932	−	2.89932i	0.197732	−	0.197732i
$216$	−3.66384	−	14.2329i	−0.249293	−	0.968428i
$217$	−6.75327	−	6.75327i	−0.458442	−	0.458442i
$218$	15.7300	+	9.62416i	1.06537	+	0.651830i
$219$	5.52529	+	22.5433i	0.373364	+	1.52333i
$220$	14.6403	−	7.48559i	0.987049	−	0.504678i
$221$	−0.627115	+	0.817272i	−0.0421843	+	0.0549757i
$222$	22.0441	+	7.03012i	1.47950	+	0.471831i
$223$	−17.3699	−	10.0285i	−1.16317	−	0.671558i	−0.211110	−	0.977462i	$-0.567708\pi$
$223$	−17.3699	−	10.0285i	−1.16317	−	0.671558i	−0.952062	+	0.305904i	$0.901041\pi$
$224$	−2.73828	−	10.0774i	−0.182959	−	0.673323i
$225$	−0.158807	−	0.173046i	−0.0105872	−	0.0115364i
$226$	−11.5771	−	5.14471i	−0.770100	−	0.342221i
$227$	−2.94476	+	22.3677i	−0.195450	+	1.48459i	0.559510	+	0.828824i	$0.310989\pi$
$227$	−2.94476	+	22.3677i	−0.195450	+	1.48459i	−0.754961	+	0.655770i	$0.772344\pi$
$228$	−2.50775	−	1.25840i	−0.166080	−	0.0833398i
$229$	−16.8208	+	2.21450i	−1.11155	+	0.146338i	−0.663865	−	0.747853i	$-0.731085\pi$
$229$	−16.8208	+	2.21450i	−1.11155	+	0.146338i	−0.447686	+	0.894191i	$0.647752\pi$
$230$	10.0976	+	18.5662i	0.665813	+	1.22422i
$231$	11.0421	−	4.29881i	0.726516	−	0.282841i
$232$	−1.19887	−	6.39312i	−0.0787095	−	0.419729i
$233$	3.91082	+	3.91082i	0.256206	+	0.256206i	0.823509	−	0.567303i	$-0.192013\pi$
$233$	3.91082	+	3.91082i	0.256206	+	0.256206i	−0.567303	+	0.823509i	$0.692013\pi$
$234$	0.703155	−	0.344220i	0.0459667	−	0.0225024i
$235$	7.66987	−	18.5167i	0.500327	−	1.20790i
$236$	−2.48161	+	13.4956i	−0.161539	+	0.878487i
$237$	2.93008	+	5.33607i	0.190329	+	0.346615i
$238$	−11.3329	−	9.16403i	−0.734605	−	0.594016i
$239$	−20.3662	+	11.7585i	−1.31738	+	0.760591i	−0.983307	−	0.181955i	$-0.941758\pi$
$239$	−20.3662	+	11.7585i	−1.31738	+	0.760591i	−0.334076	+	0.942546i	$0.608424\pi$
$240$	7.78544	+	13.2525i	0.502548	+	0.855446i
$241$	10.7945	+	6.23220i	0.695335	+	0.401452i	0.805607	−	0.592450i	$-0.201839\pi$
$241$	10.7945	+	6.23220i	0.695335	+	0.401452i	−0.110273	+	0.993901i	$0.535172\pi$
$242$	1.38798	+	3.60823i	0.0892230	+	0.231946i
$243$	6.30502	+	14.2565i	0.404467	+	0.914553i
$244$	10.1539	+	4.82562i	0.650036	+	0.308928i
$245$	−4.85129	−	6.32233i	−0.309938	−	0.403919i
$246$	25.9916	+	4.67106i	1.65716	+	0.297816i
$247$	0.0386832	−	0.144368i	0.00246135	−	0.00918590i
$248$	10.8951	+	9.76839i	0.691839	+	0.620293i
$249$	−7.73971	+	9.65091i	−0.490484	+	0.611601i
$250$	13.5908	+	8.31527i	0.859555	+	0.525904i
$251$	3.10929	−	7.50650i	0.196257	−	0.473806i	−0.794861	−	0.606791i	$-0.792456\pi$
$251$	3.10929	−	7.50650i	0.196257	−	0.473806i	0.991118	+	0.132985i	$0.0424564\pi$
$252$	4.61501	+	10.0690i	0.290718	+	0.634288i
$253$	−23.0635	+	9.55323i	−1.44999	+	0.600606i
$254$	−12.7587	−	17.5348i	−0.800551	−	1.10023i
$255$	19.6379	+	8.63208i	1.22977	+	0.540562i
$256$	5.02990	+	15.1888i	0.314369	+	0.949301i
$257$	−20.3995	+	11.7777i	−1.27249	+	0.734670i	−0.975455	−	0.220198i	$-0.929330\pi$
$257$	−20.3995	+	11.7777i	−1.27249	+	0.734670i	−0.297031	+	0.954868i	$0.595996\pi$
$258$	−3.34782	+	3.04755i	−0.208426	+	0.189732i
$259$	−17.2886	−	2.27608i	−1.07426	−	0.141429i
$260$	−0.607678	+	0.548707i	−0.0376866	+	0.0340294i
$261$	2.36452	+	6.48128i	0.146360	+	0.401181i
$262$	19.5962	+	0.499338i	1.21066	+	0.0308492i
$263$	26.2812	−	7.04204i	1.62057	−	0.434231i	0.669401	−	0.742901i	$-0.266551\pi$
$263$	26.2812	−	7.04204i	1.62057	−	0.434231i	0.951169	+	0.308670i	$0.0998840\pi$
$264$	−16.5345	+	7.49781i	−1.01763	+	0.461458i
$265$	−13.6782	−	3.66507i	−0.840246	−	0.225143i
$266$	2.02790	+	0.599139i	0.124339	+	0.0367355i
$267$	−6.70406	−	27.3527i	−0.410282	−	1.67396i
$268$	3.44366	+	4.99547i	0.210355	+	0.305147i
$269$	16.1301	−	6.68130i	0.983469	−	0.407366i	0.167760	−	0.985828i	$-0.446347\pi$
$269$	16.1301	−	6.68130i	0.983469	−	0.407366i	0.815710	+	0.578462i	$0.196347\pi$
$270$	−10.4474	−	12.5149i	−0.635810	−	0.761635i
$271$	12.9990			0.789633			0.394817	−	0.918760i	$-0.370808\pi$
$271$	12.9990			0.789633			0.394817	+	0.918760i	$0.370808\pi$
$272$	18.1026	+	13.0745i	1.09763	+	0.792761i
$273$	−0.475686	+	0.349063i	−0.0287898	+	0.0211262i
$274$	3.20937	−	3.96895i	0.193885	−	0.239773i
$275$	−0.176624	+	0.230181i	−0.0106508	+	0.0138804i
$276$	−10.1753	−	20.9997i	−0.612479	−	1.26403i
$277$	−2.84519	+	2.18319i	−0.170951	+	0.131175i	−0.690693	−	0.723148i	$-0.742695\pi$
$277$	−2.84519	+	2.18319i	−0.170951	+	0.131175i	0.519743	+	0.854323i	$0.326028\pi$
$278$	−9.73411	+	9.25036i	−0.583813	+	0.554800i
$279$	−13.0962	−	8.32938i	−0.784051	−	0.498667i
$280$	−7.54155	−	8.79235i	−0.450694	−	0.525443i
$281$	−4.04330	−	15.0898i	−0.241203	−	0.900181i	−0.975254	−	0.221087i	$-0.929040\pi$
$281$	−4.04330	−	15.0898i	−0.241203	−	0.900181i	0.734051	−	0.679094i	$-0.237627\pi$
$282$	−9.41800	+	20.0251i	−0.560834	+	1.19247i
$283$	−2.24833	−	17.0778i	−0.133650	−	1.01517i	−0.918482	−	0.395462i	$-0.870585\pi$
$283$	−2.24833	−	17.0778i	−0.133650	−	1.01517i	0.784833	−	0.619708i	$-0.212749\pi$
$284$	2.24791	−	1.14936i	0.133389	−	0.0682019i
$285$	−3.11158	−	0.0667243i	−0.184314	−	0.00395241i
$286$	−0.568998	−	0.782001i	−0.0336456	−	0.0462407i
$287$	−19.9022			−1.17479
$288$	−7.90037	−	15.0195i	−0.465534	−	0.885030i
$289$	14.1654			0.833258
$290$	−4.24507	−	5.83420i	−0.249279	−	0.342596i
$291$	1.30459	+	2.37584i	0.0764765	+	0.139274i
$292$	12.2011	+	23.8629i	0.714015	+	1.39647i
$293$	0.840546	+	6.38458i	0.0491052	+	0.372991i	0.998299	+	0.0582995i	$0.0185678\pi$
$293$	0.840546	+	6.38458i	0.0491052	+	0.372991i	−0.949194	+	0.314692i	$0.898099\pi$
$294$	5.02315	+	7.22416i	0.292956	+	0.421322i
$295$	3.93946	+	14.7023i	0.229364	+	0.855999i
$296$	26.6394	+	2.03996i	1.54838	+	0.118570i
$297$	15.9990	−	10.7163i	0.928358	−	0.621825i
$298$	1.17005	−	1.11190i	0.0677791	−	0.0644107i
$299$	0.986161	−	0.756708i	0.0570312	−	0.0437615i
$300$	−0.224449	−	0.152236i	−0.0129585	−	0.00878936i
$301$	2.07702	−	2.70683i	0.119718	−	0.156019i
$302$	3.50759	−	4.33776i	0.201839	−	0.249610i
$303$	−1.96253	−	17.8577i	−0.112744	−	1.02590i
$304$	−3.15243	−	0.747449i	−0.180804	−	0.0428691i
$305$	12.4704			0.714054
$306$	−21.2118	−	10.5373i	−1.21260	−	0.602377i
$307$	−12.2380	+	5.06913i	−0.698457	+	0.289310i	−0.703519	−	0.710677i	$-0.748389\pi$
$307$	−12.2380	+	5.06913i	−0.698457	+	0.289310i	0.00506166	+	0.999987i	$0.498389\pi$
$308$	11.2652	−	7.76571i	0.641892	−	0.442492i
$309$	17.5778	−	16.8397i	0.999966	−	0.957980i
$310$	15.5664	+	4.59906i	0.884113	+	0.261209i
$311$	−8.59170	−	2.30214i	−0.487191	−	0.130542i	0.00685827	−	0.999976i	$-0.497817\pi$
$311$	−8.59170	−	2.30214i	−0.487191	−	0.130542i	−0.494049	+	0.869434i	$0.664484\pi$
$312$	0.698627	−	0.573707i	0.0395520	−	0.0324798i
$313$	20.5236	−	5.49929i	1.16007	−	0.310839i	0.373073	−	0.927802i	$-0.378304\pi$
$313$	20.5236	−	5.49929i	1.16007	−	0.310839i	0.786992	+	0.616963i	$0.211637\pi$
$314$	3.71087	+	0.0945581i	0.209416	+	0.00533622i
$315$	9.41778	+	7.89039i	0.530632	+	0.444573i
$316$	4.71092	+	5.21721i	0.265010	+	0.293491i
$317$	−3.84041	−	0.505599i	−0.215699	−	0.0283973i	0.0219022	−	0.999760i	$-0.493028\pi$
$317$	−3.84041	−	0.505599i	−0.215699	−	0.0283973i	−0.237601	+	0.971363i	$0.576361\pi$
$318$	14.8960	+	4.75053i	0.835328	+	0.266396i
$319$	7.38069	−	4.26124i	0.413239	−	0.238584i
$320$	12.2712	+	12.8222i	0.685978	+	0.716782i
$321$	21.3413	−	15.6604i	1.19116	−	0.874081i
$322$	10.3470	+	14.2203i	0.576614	+	0.792467i
$323$	−4.17748	+	1.73037i	−0.232441	+	0.0962803i
$324$	10.8745	+	14.3438i	0.604138	+	0.796879i
$325$	0.00552857	−	0.0133472i	0.000306670	−	0.000740367i
$326$	−20.1112	−	12.3047i	−1.11385	−	0.681492i
$327$	−22.3236	−	3.42733i	−1.23450	−	0.189532i
$328$	30.4481	−	1.66021i	1.68121	−	0.0916698i
$329$	4.31646	−	16.1093i	0.237974	−	0.888132i
$330$	−12.9953	+	15.3844i	−0.715370	+	0.846883i
$331$	−17.8115	−	23.2124i	−0.979008	−	1.27587i	−0.961150	−	0.276028i	$-0.910982\pi$
$331$	−17.8115	−	23.2124i	−0.979008	−	1.27587i	−0.0178586	−	0.999841i	$-0.505685\pi$
$332$	−6.13163	+	12.9020i	−0.336517	+	0.708087i
$333$	−28.2284	+	2.49106i	−1.54690	+	0.136509i
$334$	11.0782	+	28.7992i	0.606174	+	1.57582i
$335$	5.82857	+	3.36513i	0.318449	+	0.183857i
$336$	7.86235	+	10.0877i	0.428926	+	0.550328i
$337$	5.98821	−	3.45730i	0.326199	−	0.188331i	−0.327954	−	0.944694i	$-0.606359\pi$
$337$	5.98821	−	3.45730i	0.326199	−	0.188331i	0.654152	+	0.756363i	$0.273026\pi$
$338$	−14.2584	−	11.5296i	−0.775552	−	0.627126i
$339$	15.5125	+	0.332647i	0.842522	+	0.0180669i
$340$	24.3615	+	4.47966i	1.32119	+	0.242943i
$341$	−7.33704	+	17.7132i	−0.397323	+	0.959223i
$342$	3.42834	+	0.234716i	0.185383	+	0.0126920i
$343$	−13.8264	−	13.8264i	−0.746557	−	0.746557i
$344$	−2.95181	+	4.31440i	−0.159151	+	0.232617i
$345$	−20.1928	−	16.1940i	−1.08715	−	0.871855i
$346$	−15.0556	−	27.6825i	−0.809394	−	1.48822i
$347$	−15.8024	+	2.08042i	−0.848316	+	0.111683i	−0.542136	−	0.840291i	$-0.682384\pi$
$347$	−15.8024	+	2.08042i	−0.848316	+	0.111683i	−0.306180	+	0.951974i	$0.599051\pi$
$348$	4.37982	+	6.65441i	0.234783	+	0.356714i
$349$	1.44122	−	10.9471i	0.0771466	−	0.585987i	−0.908590	−	0.417690i	$-0.862840\pi$
$349$	1.44122	−	10.9471i	0.0771466	−	0.585987i	0.985736	−	0.168297i	$-0.0538267\pi$
$350$	0.186781	+	0.0830027i	0.00998386	+	0.00443668i
$351$	−0.631393	+	0.721606i	−0.0337012	+	0.0385165i
$352$	−16.5866	+	12.8204i	−0.884069	+	0.683328i
$353$	17.5261	+	10.1187i	0.932818	+	0.538563i	0.887702	−	0.460419i	$-0.152301\pi$
$353$	17.5261	+	10.1187i	0.932818	+	0.538563i	0.0451163	+	0.998982i	$0.485634\pi$
$354$	−3.58354	−	16.4192i	−0.190463	−	0.872673i
$355$	1.70485	−	2.22180i	0.0904840	−	0.117921i
$356$	−14.8041	−	28.9538i	−0.784616	−	1.53455i
$357$	17.1388	+	4.98850i	0.907080	+	0.264020i
$358$	−11.5484	−	7.06567i	−0.610351	−	0.373432i
$359$	2.32265	+	2.32265i	0.122585	+	0.122585i	0.765738	−	0.643153i	$-0.222374\pi$
$359$	2.32265	+	2.32265i	0.122585	+	0.122585i	−0.643153	+	0.765738i	$0.722374\pi$
$360$	−15.0663	−	11.2858i	−0.794065	−	0.594813i
$361$	−12.9711	+	12.9711i	−0.682692	+	0.682692i
$362$	5.26197	−	1.26721i	0.276563	−	0.0666029i
$363$	−3.27549	−	3.41904i	−0.171919	−	0.179453i
$364$	−0.441736	+	0.518683i	−0.0231532	+	0.0271864i
$365$	23.5857	+	18.0979i	1.23453	+	0.947289i
$366$	−13.7537	−	0.645750i	−0.718919	−	0.0337539i
$367$	−4.42959	+	7.67228i	−0.231223	+	0.400490i	−0.958168	−	0.286206i	$-0.907606\pi$
$367$	−4.42959	+	7.67228i	−0.231223	+	0.400490i	0.726945	+	0.686695i	$0.240939\pi$
$368$	−17.0159	−	20.8923i	−0.887016	−	1.08909i
$369$	−31.5711	+	7.02406i	−1.64353	+	0.365658i
$370$	27.6602	−	10.6401i	1.43799	−	0.553154i
$371$	−11.6826	−	1.53804i	−0.606528	−	0.0798509i
$372$	−16.9302	−	5.87841i	−0.877789	−	0.304782i
$373$	2.02041	+	15.3465i	0.104613	+	0.794614i	0.960662	+	0.277720i	$0.0895786\pi$
$373$	2.02041	+	15.3465i	0.104613	+	0.794614i	−0.856049	+	0.516894i	$0.827088\pi$
$374$	−8.28996	+	28.0590i	−0.428664	+	1.45090i
$375$	−19.2876	−	2.96121i	−0.996005	−	0.152916i
$376$	−5.25988	+	25.0054i	−0.271258	+	1.28955i
$377$	−0.300069	+	0.300069i	−0.0154544	+	0.0154544i
$378$	−9.97836	−	9.19006i	−0.513232	−	0.472685i
$379$	−1.63313	−	0.676463i	−0.0838881	−	0.0347476i	0.340345	−	0.940301i	$-0.389456\pi$
$379$	−1.63313	−	0.676463i	−0.0838881	−	0.0347476i	−0.424233	+	0.905553i	$0.639456\pi$
$380$	−3.51418	+	0.752137i	−0.180274	+	0.0385838i
$381$	22.7108	+	13.7696i	1.16351	+	0.705437i
$382$	0.839675	+	7.93523i	0.0429615	+	0.406002i
$383$	11.5956	+	20.0841i	0.592507	+	1.02625i	0.993894	+	0.110343i	$0.0351950\pi$
$383$	11.5956	+	20.0841i	0.592507	+	1.02625i	−0.401387	+	0.915909i	$0.631472\pi$
$384$	−12.8700	−	14.7771i	−0.656769	−	0.754092i
$385$	7.58861	−	13.1439i	0.386752	−	0.669873i
$386$	−26.6516	−	11.8436i	−1.35653	−	0.602821i
$387$	2.33949	−	5.02692i	0.118923	−	0.255533i
$388$	2.09749	+	2.32291i	0.106484	+	0.117928i
$389$	−7.36985	+	5.65508i	−0.373666	+	0.286724i	−0.778473	−	0.627678i	$-0.784005\pi$
$389$	−7.36985	+	5.65508i	−0.373666	+	0.286724i	0.404807	+	0.914402i	$0.367339\pi$
$390$	0.426766	−	0.907413i	0.0216102	−	0.0459487i
$391$	−36.3243	−	9.73307i	−1.83700	−	0.492223i
$392$	7.56476	+	6.78246i	0.382078	+	0.342566i
$393$	−22.3725	+	8.70987i	−1.12854	+	0.439355i
$394$	7.85207	−	1.89096i	0.395582	−	0.0952654i
$395$	7.20377	+	2.98390i	0.362461	+	0.150136i
$396$	15.1293	−	16.2946i	0.760277	−	0.818837i
$397$	−1.99779	−	4.82308i	−0.100266	−	0.242063i	0.865784	−	0.500417i	$-0.166820\pi$
$397$	−1.99779	−	4.82308i	−0.100266	−	0.242063i	−0.966050	+	0.258354i	$0.916820\pi$
$398$	−2.38111	+	15.1025i	−0.119354	+	0.757022i
$399$	−2.57429	+	0.282911i	−0.128876	+	0.0141632i
$400$	−0.292677	−	0.111404i	−0.0146339	−	0.00557018i
$401$	−14.9800	−	25.9461i	−0.748066	−	1.29569i	−0.948748	−	0.316032i	$-0.897649\pi$
$401$	−14.9800	−	25.9461i	−0.748066	−	1.29569i	0.200682	−	0.979656i	$-0.435684\pi$
$402$	−6.25413	−	4.01325i	−0.311928	−	0.200163i
$403$	0.124609	−	0.946499i	0.00620722	−	0.0471485i
$404$	−6.95215	−	19.5448i	−0.345882	−	0.972388i
$405$	17.7243	+	9.19282i	0.880727	+	0.456795i
$406$	−4.13584	−	4.35212i	−0.205258	−	0.215992i
$407$	9.06021	+	33.8132i	0.449098	+	1.67606i
$408$	−26.6365	−	6.20215i	−1.31870	−	0.307052i
$409$	6.21563	−	23.1970i	0.307343	−	1.14702i	−0.623566	−	0.781770i	$-0.714317\pi$
$409$	6.21563	−	23.1970i	0.307343	−	1.14702i	0.930910	−	0.365250i	$-0.119016\pi$
$410$	29.7143	−	16.1606i	1.46748	−	0.798116i
$411$	−1.74704	+	6.00223i	−0.0861752	+	0.296068i
$412$	15.2756	−	23.5951i	0.752577	−	1.16245i
$413$	4.84689	+	11.7014i	0.238500	+	0.575790i
$414$	21.4323	+	18.9061i	1.05334	+	0.929185i
$415$			15.8454i			0.777822i
$416$	0.632537	−	0.830375i	0.0310127	−	0.0407125i
$417$	6.61806	−	15.0560i	0.324088	−	0.737298i
$418$	−0.446688	−	4.22137i	−0.0218482	−	0.206474i
$419$	−0.579759	−	0.444865i	−0.0283231	−	0.0217331i	0.594503	−	0.804093i	$-0.297349\pi$
$419$	−0.579759	−	0.444865i	−0.0283231	−	0.0217331i	−0.622826	+	0.782360i	$0.714016\pi$
$420$	12.6800	+	6.36292i	0.618723	+	0.310479i
$421$	23.3754	+	30.4635i	1.13925	+	1.48470i	0.849495	+	0.527597i	$0.176907\pi$
$421$	23.3754	+	30.4635i	1.13925	+	1.48470i	0.289754	+	0.957101i	$0.406426\pi$
$422$	13.2978	+	0.338847i	0.647327	+	0.0164948i
$423$	1.16183	−	27.0777i	0.0564903	−	1.31656i
$424$	18.0013	+	1.37848i	0.874219	+	0.0669449i
$425$	−0.422172	+	0.113121i	−0.0204784	+	0.00548716i
$426$	−1.99534	+	2.36216i	−0.0966747	+	0.114447i
$427$	10.2880	−	1.35445i	0.497873	−	0.0655463i
$428$	19.8182	−	23.2704i	0.957947	−	1.12482i
$429$	1.01283	+	0.614081i	0.0489000	+	0.0296481i
$430$	−0.903074	+	5.72788i	−0.0435501	+	0.276223i
$431$		−	14.9906i		−	0.722073i	−0.932552	−	0.361037i	$-0.882423\pi$
$431$		−	14.9906i		−	0.722073i	0.932552	−	0.361037i	$-0.117577\pi$
$432$	16.0324	+	13.2274i	0.771358	+	0.636401i
$433$		−	26.8493i		−	1.29029i	−0.764058	−	0.645147i	$-0.776796\pi$
$433$		−	26.8493i		−	1.29029i	0.764058	−	0.645147i	$-0.223204\pi$
$434$	13.3417	+	2.10350i	0.640424	+	0.100971i
$435$	7.55635	+	4.58142i	0.362299	+	0.219662i
$436$	−25.9958	+	2.08275i	−1.24497	+	0.0997454i
$437$	5.40940	−	0.712160i	0.258766	−	0.0340673i
$438$	−25.0757	−	21.1817i	−1.19816	−	1.01210i
$439$	−6.25417	+	1.67580i	−0.298495	+	0.0799816i	−0.404959	−	0.914335i	$-0.632714\pi$
$439$	−6.25417	+	1.67580i	−0.298495	+	0.0799816i	0.106463	+	0.994317i	$0.466047\pi$
$440$	−10.5133	+	20.7416i	−0.501201	+	0.988819i
$441$	−9.09307	−	5.78332i	−0.433003	−	0.275396i
$442$	0.0371105	−	1.45638i	0.00176517	−	0.0692728i
$443$	13.2765	+	17.3022i	0.630784	+	0.822053i	0.993969	−	0.109664i	$-0.0349774\pi$
$443$	13.2765	+	17.3022i	0.630784	+	0.822053i	−0.363185	+	0.931717i	$0.618311\pi$
$444$	−31.0577	+	10.3028i	−1.47393	+	0.488948i
$445$	−28.6175	−	21.9590i	−1.35660	−	1.04096i
$446$	28.2074	−	2.98480i	1.33566	−	0.141334i
$447$	−0.795497	+	1.80975i	−0.0376257	+	0.0855982i
$448$	11.5163	+	9.24544i	0.544094	+	0.436806i
$449$			22.1792i			1.04670i	0.852118	+	0.523350i	$0.175318\pi$
$449$			22.1792i			1.04670i	−0.852118	+	0.523350i	$0.824682\pi$
$450$	0.325587	+	0.0657478i	0.0153483	+	0.00309938i
$451$	15.2895	+	36.9120i	0.719953	+	1.73812i
$452$	17.5196	−	3.74970i	0.824053	−	0.176371i
$453$	−1.90938	+	6.55997i	−0.0897106	+	0.308214i
$454$	−15.2438	−	28.0285i	−0.715426	−	1.31544i
$455$	−0.195596	+	0.729973i	−0.00916967	+	0.0342217i
$456$	3.91477	−	0.647564i	0.183326	−	0.0303250i
$457$	−4.35424	−	16.2503i	−0.203683	−	0.760155i	−0.989847	−	0.142137i	$-0.954603\pi$
$457$	−4.35424	−	16.2503i	−0.203683	−	0.760155i	0.786164	−	0.618018i	$-0.212064\pi$
$458$	17.3926	−	16.5283i	0.812704	−	0.772316i
$459$	28.9480	+	1.86456i	1.35118	+	0.0870301i
$460$	−26.9951	−	12.8294i	−1.25865	−	0.598173i
$461$	−1.43636	+	10.9102i	−0.0668980	+	0.508140i	0.924889	+	0.380238i	$0.124158\pi$
$461$	−1.43636	+	10.9102i	−0.0668980	+	0.508140i	−0.991787	+	0.127903i	$0.959175\pi$
$462$	−9.05017	+	14.1035i	−0.421052	+	0.656155i
$463$	8.58216	+	14.8647i	0.398847	+	0.690823i	0.993584	−	0.113098i	$-0.0360773\pi$
$463$	8.58216	+	14.8647i	0.398847	+	0.690823i	−0.594737	+	0.803920i	$0.702744\pi$
$464$	6.69041	+	6.31324i	0.310594	+	0.293085i
$465$	−19.7606	+	2.17166i	−0.916375	+	0.100708i
$466$	−7.72620	−	1.21813i	−0.357909	−	0.0564290i
$467$	0.385876	+	0.931588i	0.0178562	+	0.0431088i	0.932556	−	0.361025i	$-0.117573\pi$
$467$	0.385876	+	0.931588i	0.0178562	+	0.0431088i	−0.914700	+	0.404134i	$0.867573\pi$
$468$	−0.517673	+	0.978695i	−0.0239294	+	0.0452402i
$469$	5.17405	+	2.14316i	0.238915	+	0.0989620i
$470$	6.63621	+	27.5563i	0.306105	+	1.27108i
$471$	−4.23661	+	1.64936i	−0.195213	+	0.0759985i
$472$	−8.39131	−	17.4975i	−0.386241	−	0.805390i
$473$	−6.61591	−	1.77273i	−0.304200	−	0.0815101i
$474$	−7.79058	−	3.66400i	−0.357833	−	0.168293i
$475$	0.0503082	−	0.0386029i	0.00230830	−	0.00177122i
$476$	20.5847	+	1.04973i	0.943496	+	0.0481145i
$477$	−19.0750	+	1.68330i	−0.873384	+	0.0770732i
$478$	13.5058	−	30.3922i	0.617742	−	1.39010i
$479$	12.6043	−	21.8313i	0.575905	−	0.997496i	−0.420038	−	0.907506i	$-0.637983\pi$
$479$	12.6043	−	21.8313i	0.575905	−	0.997496i	0.995943	−	0.0899896i	$-0.0286834\pi$
$480$	−19.9298	−	8.67680i	−0.909667	−	0.396040i
$481$	−0.871530	−	1.50953i	−0.0397384	−	0.0688289i
$482$	−17.5295	+	1.85490i	−0.798445	+	0.0844884i
$483$	−18.4179	−	11.1668i	−0.838043	−	0.508106i
$484$	−4.58947	−	2.97126i	−0.208612	−	0.135057i
$485$	3.20741	+	1.32855i	0.145641	+	0.0603265i
$486$	−19.0722	−	11.0566i	−0.865135	−	0.501540i
$487$	−29.1129	+	29.1129i	−1.31923	+	1.31923i	−0.404846	+	0.914385i	$0.632675\pi$
$487$	−29.1129	+	29.1129i	−1.31923	+	1.31923i	−0.914385	+	0.404846i	$0.867325\pi$
$488$	−15.6265	+	2.93036i	−0.707381	+	0.132651i
$489$	28.5411	+	4.38191i	1.29067	+	0.198157i
$490$	10.8082	+	3.19325i	0.488264	+	0.144257i
$491$	4.41738	+	33.5533i	0.199353	+	1.51424i	0.739780	+	0.672848i	$0.234929\pi$
$491$	4.41738	+	33.5533i	0.199353	+	1.51424i	−0.540427	+	0.841391i	$0.681737\pi$
$492$	−33.6090	+	16.2850i	−1.51521	+	0.734185i
$493$	12.7285	+	1.67574i	0.573263	+	0.0754716i
$494$	0.0758868	+	0.197277i	0.00341431	+	0.00887589i
$495$	7.39906	−	23.5285i	0.332563	−	1.05753i
$496$	−20.5868	−	2.10516i	−0.924375	−	0.0945246i
$497$	1.16518	−	2.01815i	0.0522654	−	0.0905263i
$498$	0.820517	−	17.4761i	0.0367682	−	0.783121i
$499$	−13.2713	−	10.1834i	−0.594104	−	0.455872i	0.267426	−	0.963578i	$-0.413827\pi$
$499$	−13.2713	−	10.1834i	−0.594104	−	0.455872i	−0.861530	+	0.507706i	$0.830494\pi$
$500$	−22.4603	+	1.79949i	−1.00446	+	0.0804757i
$501$	−26.1434	−	27.2892i	−1.16800	−	1.21919i
$502$	2.69026	+	11.1711i	0.120072	+	0.498589i
$503$	18.2536	−	18.2536i	0.813887	−	0.813887i	−0.171327	−	0.985214i	$-0.554805\pi$
$503$	18.2536	−	18.2536i	0.813887	−	0.813887i	0.985214	+	0.171327i	$0.0548054\pi$
$504$	−13.6554	−	7.67433i	−0.608262	−	0.341842i
$505$	−16.2710	−	16.2710i	−0.724049	−	0.724049i
$506$	18.4252	−	30.1147i	0.819098	−	1.33876i
$507$	21.5629	+	6.27620i	0.957640	+	0.278736i
$508$	29.1801	+	9.43577i	1.29466	+	0.418645i
$509$	1.99161	−	2.59551i	0.0882764	−	0.115044i	−0.747127	−	0.664681i	$-0.768567\pi$
$509$	1.99161	−	2.59551i	0.0882764	−	0.115044i	0.835403	+	0.549637i	$0.185234\pi$
$510$	−29.6391	+	6.46881i	−1.31244	+	0.286444i
$511$	21.4238	+	12.3690i	0.947732	+	0.547173i
$512$	−18.3899	−	13.1838i	−0.812725	−	0.582647i
$513$	−3.98378	+	1.35733i	−0.175888	+	0.0599275i
$514$	13.5279	−	30.4418i	0.596689	−	1.34273i
$515$	4.06967	−	30.9122i	0.179331	−	1.36216i
$516$	1.29261	−	6.27056i	0.0569041	−	0.276046i
$517$	−33.1934	+	4.37000i	−1.45984	+	0.192192i
$518$	21.6639	−	11.7823i	0.951859	−	0.517685i
$519$	30.1078	+	24.1455i	1.32159	+	1.05987i
$520$	0.238346	−	1.13309i	0.0104522	−	0.0496893i
$521$	−8.21750	−	8.21750i	−0.360015	−	0.360015i	0.503803	−	0.863818i	$-0.331934\pi$
$521$	−8.21750	−	8.21750i	−0.360015	−	0.360015i	−0.863818	+	0.503803i	$0.831934\pi$
$522$	−8.09672	−	5.44417i	−0.354384	−	0.238285i
$523$	9.62002	−	23.2248i	0.420654	−	1.01555i	−0.561501	−	0.827476i	$-0.689776\pi$
$523$	9.62002	−	23.2248i	0.420654	−	1.01555i	0.982155	−	0.188073i	$-0.0602240\pi$
$524$	−22.8244	+	15.7342i	−0.997090	+	0.687350i
$525$	−0.250272	−	0.00536679i	−0.0109228	−	0.000234226i
$526$	−24.1942	+	29.9204i	−1.05492	+	1.30459i
$527$	−25.0124	+	14.4409i	−1.08956	+	0.629056i
$528$	12.6692	−	22.3317i	0.551358	−	0.971864i
$529$	19.3790	+	11.1885i	0.842564	+	0.486455i
$530$	18.6911	−	7.18995i	0.811890	−	0.312311i
$531$	11.8185	+	16.8515i	0.512878	+	0.731294i
$532$	−2.81750	+	1.00220i	−0.122154	+	0.0434507i
$533$	−1.21107	−	1.57830i	−0.0524574	−	0.0683638i
$534$	30.4254	+	25.7006i	1.31664	+	1.11218i
$535$	8.77526	−	32.7497i	0.379388	−	1.41589i
$536$	−8.09448	−	2.84718i	−0.349628	−	0.122979i
$537$	16.3891	+	2.51621i	0.707241	+	0.108583i
$538$	−12.8861	+	21.0615i	−0.555560	+	0.908026i
$539$	−5.09431	+	12.2987i	−0.219427	+	0.529744i
$540$	22.3602	+	5.61843i	0.962229	+	0.241779i
$541$	33.5317	−	13.8893i	1.44164	−	0.597148i	0.481446	−	0.876475i	$-0.340112\pi$
$541$	33.5317	−	13.8893i	1.44164	−	0.597148i	0.960196	+	0.279328i	$0.0901116\pi$
$542$	−14.8648	+	10.8159i	−0.638500	+	0.464584i
$543$	−5.34430	+	3.92169i	−0.229346	+	0.168296i
$544$	−31.5797	+	0.111169i	−1.35397	+	0.00476634i
$545$	−25.0525	+	14.4640i	−1.07313	+	0.619572i
$546$	0.253524	−	0.794965i	0.0108498	−	0.0340214i
$547$	21.7869	+	2.86829i	0.931539	+	0.122639i	0.580995	−	0.813907i	$-0.302663\pi$
$547$	21.7869	+	2.86829i	0.931539	+	0.122639i	0.350544	+	0.936546i	$0.385997\pi$
$548$	−0.367631	+	7.20902i	−0.0157044	+	0.307954i
$549$	15.8420	−	5.77953i	0.676122	−	0.246664i
$550$	0.0104520	−	0.410182i	0.000445676	−	0.0174902i
$551$	−1.79920	+	0.482094i	−0.0766485	+	0.0205379i
$552$	29.1088	+	15.5475i	1.23895	+	0.661745i
$553$	6.26717	+	1.67928i	0.266507	+	0.0714104i
$554$	1.43703	−	4.86392i	0.0610537	−	0.206648i
$555$	−26.2100	+	25.1095i	−1.11255	+	1.06584i
$556$	3.43447	−	18.6775i	0.145654	−	0.792102i
$557$	−13.8767	+	5.74792i	−0.587975	+	0.243547i	−0.656779	−	0.754083i	$-0.728082\pi$
$557$	−13.8767	+	5.74792i	−0.587975	+	0.243547i	0.0688040	+	0.997630i	$0.478082\pi$
$558$	21.9066	−	1.37189i	0.927379	−	0.0580765i
$559$	0.341049			0.0144248
$560$	15.9398	+	3.77936i	0.673579	+	0.159707i
$561$	−3.91448	−	35.6191i	−0.165270	−	1.50384i
$562$	17.1793	+	13.8915i	0.724663	+	0.585976i
$563$	13.3053	−	17.3398i	0.560751	−	0.730785i	−0.423825	−	0.905744i	$-0.639313\pi$
$563$	13.3053	−	17.3398i	0.560751	−	0.730785i	0.984576	+	0.174959i	$0.0559794\pi$
$564$	−5.89220	−	30.7357i	−0.248106	−	1.29421i
$565$	15.7668	−	12.0983i	0.663316	−	0.508980i
$566$	16.7808	+	17.6583i	0.705349	+	0.742236i
$567$	15.6209	+	5.65896i	0.656017	+	0.237654i
$568$	−1.61424	+	3.18473i	−0.0677320	+	0.133628i
$569$	8.04842	+	30.0371i	0.337407	+	1.25922i	0.901236	+	0.433329i	$0.142661\pi$
$569$	8.04842	+	30.0371i	0.337407	+	1.25922i	−0.563829	+	0.825892i	$0.690672\pi$
$570$	3.61373	−	2.51272i	0.151363	−	0.105246i
$571$	0.967944	+	7.35226i	0.0405072	+	0.307683i	0.999690	+	0.0248960i	$0.00792547\pi$
$571$	0.967944	+	7.35226i	0.0405072	+	0.307683i	−0.959183	+	0.282787i	$0.908741\pi$
$572$	1.30134	+	0.420807i	0.0544118	+	0.0175948i
$573$	−4.70387	−	8.56639i	−0.196507	−	0.357866i
$574$	22.7589	−	16.5598i	0.949938	−	0.691193i
$575$	0.527384			0.0219934
$576$	21.5314	+	10.6017i	0.897144	+	0.441739i
$577$	16.0408			0.667789			0.333894	−	0.942610i	$-0.391637\pi$
$577$	16.0408			0.667789			0.333894	+	0.942610i	$0.391637\pi$
$578$	−16.1986	+	11.7864i	−0.673775	+	0.490251i
$579$	35.7110	+	0.765781i	1.48410	+	0.0318248i
$580$	9.70880	+	3.13947i	0.403136	+	0.130359i
$581$	1.72102	+	13.0724i	0.0713998	+	0.542335i
$582$	−3.46868	−	1.63136i	−0.143782	−	0.0676221i
$583$	6.12234	+	22.8489i	0.253561	+	0.946303i
$584$	−33.8077	−	17.1360i	−1.39897	−	0.709095i
$585$	−0.0526473	+	1.22700i	−0.00217670	+	0.0507301i
$586$	−6.27355	−	6.60162i	−0.259158	−	0.272711i
$587$	−28.0290	+	21.5074i	−1.15688	+	0.887707i	−0.995076	−	0.0991152i	$-0.968399\pi$
$587$	−28.0290	+	21.5074i	−1.15688	+	0.887707i	−0.161807	+	0.986822i	$0.551732\pi$
$588$	−11.7551	−	4.08154i	−0.484771	−	0.168320i
$589$	2.55093	−	3.32443i	0.105109	−	0.136981i
$590$	−16.7381	−	13.5347i	−0.689096	−	0.557216i
$591$	−7.97493	+	5.85207i	−0.328045	+	0.240722i
$592$	−32.1605	+	19.8328i	−1.32179	+	0.815122i
$593$	35.7601			1.46849			0.734245	−	0.678885i	$-0.237537\pi$
$593$	35.7601			1.46849			0.734245	+	0.678885i	$0.237537\pi$
$594$	−9.37886	+	25.5667i	−0.384819	+	1.04901i
$595$	21.1228	−	8.74934i	0.865949	−	0.358688i
$596$	−0.412827	+	2.24505i	−0.0169100	+	0.0919609i
$597$	−4.45757	−	18.1869i	−0.182436	−	0.744342i
$598$	−0.498086	+	1.68587i	−0.0203683	+	0.0689403i
$599$	27.1376	+	7.27150i	1.10881	+	0.297105i	0.766348	−	0.642425i	$-0.222072\pi$
$599$	27.1376	+	7.27150i	1.10881	+	0.297105i	0.342464	+	0.939531i	$0.388738\pi$
$600$	0.383335	−	0.0126667i	0.0156496	−	0.000517117i
$601$	13.7493	−	3.68411i	0.560845	−	0.150278i	0.0327504	−	0.999464i	$-0.489573\pi$
$601$	13.7493	−	3.68411i	0.560845	−	0.150278i	0.528094	+	0.849186i	$0.322907\pi$
$602$	−0.122911	+	4.82357i	−0.00500949	+	0.196594i
$603$	8.96404	+	1.57365i	0.365044	+	0.0640840i
$604$	−0.401792	+	7.87891i	−0.0163487	+	0.320588i
$605$	−6.01272	−	0.791590i	−0.244452	−	0.0321827i
$606$	17.1029	+	18.7880i	0.694756	+	0.763209i
$607$	4.39994	−	2.54031i	0.178588	−	0.103108i	−0.408041	−	0.912964i	$-0.633788\pi$
$607$	4.39994	−	2.54031i	0.178588	−	0.103108i	0.586629	+	0.809856i	$0.300455\pi$
$608$	4.22685	−	1.76828i	0.171421	−	0.0717130i
$609$	6.73156	+	2.95894i	0.272777	+	0.119902i
$610$	−14.2604	+	10.3761i	−0.577386	+	0.420117i
$611$	1.54017	−	0.637960i	0.0623087	−	0.0258091i
$612$	33.0242	−	5.59972i	1.33492	−	0.226355i
$613$	12.1189	−	29.2575i	0.489476	−	1.18170i	−0.465509	−	0.885043i	$-0.654129\pi$
$613$	12.1189	−	29.2575i	0.489476	−	1.18170i	0.954984	−	0.296656i	$-0.0958714\pi$
$614$	9.77674	−	15.9794i	0.394557	−	0.644878i
$615$	−25.9177	+	32.3176i	−1.04510	+	1.30317i
$616$	−6.42060	+	18.2537i	−0.258693	+	0.735461i
$617$	11.5448	−	43.0857i	0.464776	−	1.73457i	−0.192857	−	0.981227i	$-0.561775\pi$
$617$	11.5448	−	43.0857i	0.464776	−	1.73457i	0.657632	−	0.753339i	$-0.271558\pi$
$618$	−6.08919	+	33.8826i	−0.244943	+	1.36296i
$619$	16.3294	+	21.2809i	0.656333	+	0.855350i	0.996376	−	0.0850601i	$-0.0271082\pi$
$619$	16.3294	+	21.2809i	0.656333	+	0.855350i	−0.340043	+	0.940410i	$0.610442\pi$
$620$	−21.6275	+	7.69298i	−0.868580	+	0.308957i
$621$	−33.1576	−	11.2138i	−1.33057	−	0.449994i
$622$	11.7404	−	4.51622i	0.470749	−	0.181084i
$623$	−25.9944	−	15.0078i	−1.04144	−	0.601277i
$624$	−0.321548	+	1.23735i	−0.0128722	+	0.0495338i
$625$	−21.3063	+	12.3012i	−0.852253	+	0.492048i
$626$	−18.8938	+	23.3655i	−0.755149	+	0.933875i
$627$	2.50236	+	4.55713i	0.0999344	+	0.181994i
$628$	−4.32219	+	2.97953i	−0.172474	+	0.118896i
$629$	−20.1802	+	48.7192i	−0.804636	+	1.94256i
$630$	−17.3349	−	1.18681i	−0.690637	−	0.0472835i
$631$	−27.0218	−	27.0218i	−1.07572	−	1.07572i	−0.996888	−	0.0788323i	$-0.974881\pi$
$631$	−27.0218	−	27.0218i	−1.07572	−	1.07572i	−0.0788323	−	0.996888i	$-0.525119\pi$
$632$	−9.72814	−	2.04631i	−0.386965	−	0.0813980i
$633$	−15.1818	+	5.91045i	−0.603422	+	0.234919i
$634$	4.81234	−	2.61728i	0.191122	−	0.103945i
$635$	33.7270	−	4.44025i	1.33842	−	0.176206i
$636$	−20.9869	+	6.96198i	−0.832184	+	0.276060i
$637$	0.0865194	−	0.657180i	0.00342802	−	0.0260384i
$638$	−4.89448	+	11.0141i	−0.193774	+	0.436051i
$639$	1.13607	−	3.61264i	0.0449424	−	0.142914i
$640$	−24.7013	−	4.45232i	−0.976406	−	0.175993i
$641$	−7.01791	−	4.05179i	−0.277191	−	0.160036i	0.354960	−	0.934881i	$-0.384494\pi$
$641$	−7.01791	−	4.05179i	−0.277191	−	0.160036i	−0.632151	+	0.774845i	$0.717828\pi$
$642$	−11.3742	+	35.6656i	−0.448903	+	1.40761i
$643$	1.58143	−	2.06096i	0.0623656	−	0.0812764i	−0.761129	−	0.648600i	$-0.775355\pi$
$643$	1.58143	−	2.06096i	0.0623656	−	0.0812764i	0.823495	+	0.567324i	$0.192021\pi$
$644$	−23.6643	−	7.65217i	−0.932503	−	0.301538i
$645$	−1.69060	−	6.89769i	−0.0665674	−	0.271596i
$646$	3.33733	−	5.45465i	0.131306	−	0.214610i
$647$	−17.0092	−	17.0092i	−0.668700	−	0.668700i	0.288715	−	0.957415i	$-0.406772\pi$
$647$	−17.0092	−	17.0092i	−0.668700	−	0.668700i	−0.957415	+	0.288715i	$0.906772\pi$
$648$	−24.3703	−	7.35448i	−0.957356	−	0.288911i
$649$	17.9788	−	17.9788i	0.705730	−	0.705730i
$650$	0.00478349	+	0.0198631i	0.000187624	+	0.000779094i
$651$	−16.0665	+	3.93786i	−0.629697	+	0.154337i
$652$	33.2361	−	2.66283i	1.30162	−	0.104284i
$653$	20.9605	+	16.0836i	0.820248	+	0.629398i	0.931233	−	0.364424i	$-0.118734\pi$
$653$	20.9605	+	16.0836i	0.820248	+	0.629398i	−0.110985	+	0.993822i	$0.535401\pi$
$654$	28.3796	−	14.6552i	1.10973	−	0.573065i
$655$	−15.3754	+	26.6309i	−0.600765	+	1.04056i
$656$	−33.4371	+	27.2331i	−1.30550	+	1.06327i
$657$	38.3502	+	12.0601i	1.49618	+	0.470508i
$658$	8.46782	+	22.0131i	0.330110	+	0.858159i
$659$	−24.9217	−	3.28101i	−0.970813	−	0.127810i	−0.371594	−	0.928395i	$-0.621189\pi$
$659$	−24.9217	−	3.28101i	−0.970813	−	0.127810i	−0.599219	+	0.800585i	$0.704522\pi$
$660$	2.05994	−	28.4055i	0.0801831	−	1.10568i
$661$	4.13620	+	31.4176i	0.160880	+	1.22200i	0.861235	+	0.508208i	$0.169692\pi$
$661$	4.13620	+	31.4176i	0.160880	+	1.22200i	−0.700355	+	0.713795i	$0.746975\pi$
$662$	39.6822	+	11.7240i	1.54229	+	0.455667i
$663$	0.647313	+	1.66271i	0.0251395	+	0.0645743i
$664$	−3.72344	−	19.8557i	−0.144498	−	0.770552i
$665$	−2.34556	+	2.34556i	−0.0909570	+	0.0909570i
$666$	30.2075	−	26.3363i	1.17052	−	1.02051i
$667$	−14.3122	−	5.92830i	−0.554170	−	0.229545i
$668$	−36.6310	−	23.7152i	−1.41730	−	0.917568i
$669$	−30.4510	+	16.7209i	−1.17730	+	0.646466i
$670$	−9.46518	+	1.00157i	−0.365672	+	0.0386940i
$671$	−10.4156	−	18.0404i	−0.402091	−	0.696443i
$672$	−17.3844	−	4.99369i	−0.670619	−	0.192636i
$673$	−13.9741	+	24.2039i	−0.538662	+	0.932991i	0.460314	+	0.887756i	$0.347737\pi$
$673$	−13.9741	+	24.2039i	−0.538662	+	0.932991i	−0.998976	+	0.0452346i	$0.985596\pi$
$674$	−3.97107	+	8.93609i	−0.152960	+	0.344205i
$675$	−0.398904	+	0.0798148i	−0.0153538	+	0.00307207i
$676$	25.8982	+	1.32070i	0.996086	+	0.0507963i
$677$	−5.57459	+	4.27754i	−0.214249	+	0.164399i	−0.710311	−	0.703888i	$-0.751446\pi$
$677$	−5.57459	+	4.27754i	−0.214249	+	0.164399i	0.496062	+	0.868287i	$0.334779\pi$
$678$	−18.0159	+	12.5269i	−0.691895	+	0.481093i
$679$	2.79040	+	0.747685i	0.107086	+	0.0286935i
$680$	−31.5856	+	15.1475i	−1.21125	+	0.580881i
$681$	30.4841	+	24.4473i	1.16815	+	0.936821i
$682$	−6.34824	−	26.3605i	−0.243087	−	1.00940i
$683$	−2.89298	−	1.19831i	−0.110697	−	0.0458521i	0.326648	−	0.945146i	$-0.394081\pi$
$683$	−2.89298	−	1.19831i	−0.110697	−	0.0458521i	−0.437344	+	0.899294i	$0.644081\pi$
$684$	−4.11573	+	2.58417i	−0.157369	+	0.0988083i
$685$	3.06414	+	7.39748i	0.117075	+	0.282643i
$686$	27.3154	+	4.30663i	1.04291	+	0.164428i
$687$	−11.8250	+	26.9017i	−0.451150	+	1.02636i
$688$	−0.214335	−	7.38976i	−0.00817143	−	0.281732i
$689$	−0.588927	−	1.02005i	−0.0224363	−	0.0388609i
$690$	36.5656	+	1.71679i	1.39203	+	0.0653570i
$691$	−1.23764	+	9.40079i	−0.0470819	+	0.357623i	0.951646	+	0.307197i	$0.0993911\pi$
$691$	−1.23764	+	9.40079i	−0.0470819	+	0.357623i	−0.998728	+	0.0504256i	$0.983942\pi$
$692$	40.2501	+	19.1288i	1.53008	+	0.727168i
$693$	3.54870	−	20.2146i	0.134804	−	0.767888i
$694$	16.3396	−	15.5276i	0.620242	−	0.589418i
$695$	−5.45210	−	20.3475i	−0.206810	−	0.771825i
$696$	−10.5453	−	3.96530i	−0.399720	−	0.150304i
$697$	−15.5773	+	58.1353i	−0.590032	+	2.20203i
$698$	7.46058	+	13.7176i	0.282387	+	0.519220i
$699$	9.30413	−	2.28041i	0.351914	−	0.0862532i
$700$	−0.282654	+	0.0604961i	−0.0106833	+	0.00228654i
$701$	1.98553	+	4.79349i	0.0749924	+	0.181048i	0.956930	−	0.290318i	$-0.0937611\pi$
$701$	1.98553	+	4.79349i	0.0749924	+	0.181048i	−0.881938	+	0.471366i	$0.843761\pi$
$702$	0.121602	−	1.35054i	0.00458958	−	0.0509728i
$703$		−	7.65088i		−	0.288558i
$704$	8.30009	−	28.4616i	0.312822	−	1.07269i
$705$	−20.5374	−	27.9875i	−0.773485	−	1.05407i
$706$	−28.4610	+	3.01164i	−1.07115	+	0.113344i
$707$	−15.1907	−	11.6563i	−0.571306	−	0.438379i
$708$	17.7597	+	15.7943i	0.667450	+	0.593586i
$709$	−23.8411	−	31.0704i	−0.895372	−	1.16687i	−0.985285	−	0.170922i	$-0.945325\pi$
$709$	−23.8411	−	31.0704i	−0.895372	−	1.16687i	0.0899124	−	0.995950i	$-0.471341\pi$
$710$	−0.100887	+	3.95925i	−0.00378623	+	0.148588i
$711$	10.5344	+	0.452002i	0.395069	+	0.0169514i
$712$	41.0203	+	20.7919i	1.53730	+	0.779209i
$713$	33.6627	−	9.01990i	1.26068	−	0.337798i
$714$	−23.7496	+	8.55593i	−0.888805	+	0.320198i
$715$	1.50412	−	0.198022i	0.0562510	−	0.00740559i
$716$	19.0851	−	1.52907i	0.713242	−	0.0571440i
$717$	−0.873260	+	40.7231i	−0.0326125	+	1.52083i
$718$	−4.58862	−	0.723455i	−0.171246	−	0.0269991i
$719$			11.4778i			0.428051i	0.976828	+	0.214025i	$0.0686575\pi$
$719$			11.4778i			0.428051i	−0.976828	+	0.214025i	$0.931342\pi$
$720$	26.6193	+	0.369632i	0.992044	+	0.0137754i
$721$		−	25.9445i		−	0.966224i
$722$	4.04023	−	25.6257i	0.150362	−	0.953692i
$723$	18.9237	−	10.3912i	0.703781	−	0.386452i
$724$	−4.96287	+	5.82737i	−0.184444	+	0.216572i
$725$	−0.178505	+	0.0235007i	−0.00662952	+	0.000872793i
$726$	6.59049	+	1.18440i	0.244596	+	0.0439574i
$727$	−22.8651	+	6.12670i	−0.848021	+	0.227227i	−0.656560	−	0.754274i	$-0.727989\pi$
$727$	−22.8651	+	6.12670i	−0.848021	+	0.227227i	−0.191461	+	0.981500i	$0.561323\pi$
$728$	0.0735661	−	0.960684i	0.00272654	−	0.0356053i
$729$	26.7769	+	3.46380i	0.991737	+	0.128289i
$730$	−42.0297	−	1.07097i	−1.55559	−	0.0396385i
$731$	−6.28111	−	8.18570i	−0.232315	−	0.302759i
$732$	16.2652	−	10.7055i	0.601179	−	0.395686i
$733$	36.6110	+	28.0926i	1.35226	+	1.03762i	0.994601	+	0.103770i	$0.0330906\pi$
$733$	36.6110	+	28.0926i	1.35226	+	1.03762i	0.357656	+	0.933853i	$0.383576\pi$
$734$	−1.31839	−	12.4592i	−0.0486625	−	0.459878i
$735$	−13.7203	+	1.50784i	−0.506081	+	0.0556175i
$736$	36.8420	+	9.73291i	1.35801	+	0.358760i
$737$		−	11.2426i		−	0.414127i
$738$	30.2583	−	34.3013i	1.11382	−	1.26265i
$739$	8.18299	+	19.7555i	0.301016	+	0.726717i	0.999934	+	0.0115149i	$0.00366538\pi$
$739$	8.18299	+	19.7555i	0.301016	+	0.726717i	−0.698918	+	0.715202i	$0.746335\pi$
$740$	−22.7773	+	35.1823i	−0.837311	+	1.29333i
$741$	−0.179084	−	0.186933i	−0.00657883	−	0.00686717i
$742$	14.6392	−	7.96177i	0.537421	−	0.292286i
$743$	−2.50240	+	9.33908i	−0.0918042	+	0.342618i	−0.996516	−	0.0834072i	$-0.973420\pi$
$743$	−2.50240	+	9.33908i	−0.0918042	+	0.342618i	0.904711	+	0.426025i	$0.140086\pi$
$744$	24.2515	−	7.36472i	0.889102	−	0.270004i
$745$	0.655347	+	2.44579i	0.0240101	+	0.0896068i
$746$	−15.0796	−	15.8682i	−0.552105	−	0.580978i
$747$	7.34371	+	20.1296i	0.268692	+	0.736502i
$748$	−13.8668	−	38.9842i	−0.507022	−	1.42540i
$749$	3.68252	−	27.9715i	0.134556	−	1.02206i
$750$	24.5199	−	12.6621i	0.895342	−	0.462355i
$751$	20.8932	+	36.1881i	0.762404	+	1.32052i	0.941608	+	0.336711i	$0.109314\pi$
$751$	20.8932	+	36.1881i	0.762404	+	1.32052i	−0.179204	+	0.983812i	$0.557352\pi$
$752$	−14.7911	−	32.9711i	−0.539376	−	1.20233i
$753$	−8.32569	−	11.3459i	−0.303405	−	0.413466i
$754$	0.0934650	−	0.592816i	0.00340379	−	0.0215891i
$755$	3.34887	+	8.08488i	0.121878	+	0.294239i
$756$	19.0573	+	2.20658i	0.693107	+	0.0802526i
$757$	−0.0469633	−	0.0194528i	−0.00170691	−	0.000707025i	0.381830	−	0.924233i	$-0.375294\pi$
$757$	−0.0469633	−	0.0194528i	−0.00170691	−	0.000707025i	−0.383537	+	0.923526i	$0.625294\pi$
$758$	2.43040	−	0.585297i	0.0882761	−	0.0212590i
$759$	−6.56152	+	42.7378i	−0.238168	+	1.55128i
$760$	3.39278	−	3.78411i	0.123069	−	0.137264i
$761$	6.75829	+	1.81088i	0.244988	+	0.0656443i	0.379223	−	0.925305i	$-0.376191\pi$
$761$	6.75829	+	1.81088i	0.244988	+	0.0656443i	−0.134236	+	0.990949i	$0.542858\pi$
$762$	−37.4278	+	3.15072i	−1.35586	+	0.114138i
$763$	−19.0972	+	14.6538i	−0.691365	+	0.530503i
$764$	−7.56278	−	8.37557i	−0.273612	−	0.303018i
$765$	30.4194	−	21.3340i	1.09982	−	0.771334i
$766$	−29.9712	−	13.3188i	−1.08290	−	0.481226i
$767$	−0.633018	+	1.09642i	−0.0228570	+	0.0395894i
$768$	27.0128	+	6.18959i	0.974739	+	0.223348i
$769$	−18.3340	−	31.7554i	−0.661141	−	1.14513i	−0.980316	−	0.197434i	$-0.936739\pi$
$769$	−18.3340	−	31.7554i	−0.661141	−	1.14513i	0.319175	−	0.947696i	$-0.396594\pi$
$770$	2.25861	+	21.3447i	0.0813947	+	0.769209i
$771$	−0.874686	+	40.7896i	−0.0315011	+	1.46900i
$772$	40.3316	−	8.63212i	1.45157	−	0.310677i
$773$	−39.2495	−	16.2577i	−1.41171	−	0.584748i	−0.458944	−	0.888465i	$-0.651772\pi$
$773$	−39.2495	−	16.2577i	−1.41171	−	0.584748i	−0.952762	+	0.303717i	$0.901772\pi$
$774$	1.50740	+	7.69506i	0.0541824	+	0.276593i
$775$	0.286406	−	0.286406i	0.0102880	−	0.0102880i
$776$	−4.33136	−	0.911102i	−0.155487	−	0.0327067i
$777$	−18.8959	+	23.5620i	−0.677888	+	0.845282i
$778$	3.72233	−	12.5989i	0.133452	−	0.451694i
$779$	−1.13978	−	8.65747i	−0.0408368	−	0.310186i
$780$	0.266998	+	1.39276i	0.00956007	+	0.0498687i
$781$	−4.63813	−	0.610621i	−0.165965	−	0.0218497i
$782$	49.6367	−	19.0939i	1.77500	−	0.682795i
$783$	11.7227	+	2.31803i	0.418933	+	0.0828398i
$784$	−14.2940	−	1.46167i	−0.510500	−	0.0522025i
$785$	−2.91158	+	5.04301i	−0.103919	+	0.179993i
$786$	18.3366	−	28.5753i	0.654046	−	1.01925i
$787$	−10.1517	−	7.78971i	−0.361871	−	0.277673i	0.411783	−	0.911282i	$-0.364906\pi$
$787$	−10.1517	−	7.78971i	−0.361871	−	0.277673i	−0.773653	+	0.633609i	$0.781573\pi$
$788$	−7.40574	+	8.69578i	−0.263819	+	0.309774i
$789$	13.1703	−	45.2485i	0.468874	−	1.61089i
$790$	−10.7206	+	2.58176i	−0.381420	+	0.0918550i
$791$	11.6936	−	11.6936i	0.415775	−	0.415775i
$792$	−3.74284	+	31.2220i	−0.132996	+	1.10943i
$793$	0.733452	+	0.733452i	0.0260456	+	0.0260456i
$794$	6.29763	+	3.85310i	0.223495	+	0.136741i
$795$	−17.7111	+	16.9675i	−0.628149	+	0.601774i
$796$	−9.84333	−	19.2516i	−0.348887	−	0.682353i
$797$	13.2278	−	17.2387i	0.468551	−	0.610628i	−0.497976	−	0.867191i	$-0.665923\pi$
$797$	13.2278	−	17.2387i	0.468551	−	0.610628i	0.966528	+	0.256563i	$0.0825901\pi$
$798$	2.70840	−	2.46548i	0.0958763	−	0.0872771i
$799$	−43.6774	−	25.2172i	−1.54520	−	0.892120i
$800$	0.427382	−	0.116131i	0.0151102	−	0.00410584i
$801$	−46.5319	−	14.6330i	−1.64412	−	0.517031i
$802$	38.7189	+	17.2061i	1.36721	+	0.607569i
$803$	6.48208	−	49.2363i	0.228748	−	1.73751i
$804$	10.4911	−	0.614507i	0.369992	−	0.0216720i
$805$	−27.3518	+	3.60093i	−0.964023	+	0.126916i
$806$	0.645048	+	1.18604i	0.0227209	+	0.0417765i
$807$	4.58897	−	29.8898i	0.161540	−	1.05217i
$808$	24.2124	+	16.5656i	0.851791	+	0.582774i
$809$	−18.3637	−	18.3637i	−0.645632	−	0.645632i	0.306302	−	0.951934i	$-0.400908\pi$
$809$	−18.3637	−	18.3637i	−0.645632	−	0.645632i	−0.951934	+	0.306302i	$0.900908\pi$
$810$	−27.9174	+	4.23533i	−0.980916	+	0.148814i
$811$	−8.75348	+	21.1328i	−0.307376	+	0.742072i	0.692412	+	0.721502i	$0.256548\pi$
$811$	−8.75348	+	21.1328i	−0.307376	+	0.742072i	−0.999788	+	0.0205699i	$0.993452\pi$
$812$	8.35071	+	1.53555i	0.293052	+	0.0538873i
$813$	11.6729	−	19.2527i	0.409387	−	0.675221i
$814$	−38.4952	−	31.1280i	−1.34926	−	1.09104i
$815$	32.0300	−	18.4926i	1.12196	−	0.647766i
$816$	35.6204	−	15.0707i	1.24696	−	0.527582i
$817$	1.29642	+	0.748489i	0.0453560	+	0.0261863i
$818$	12.1935	+	31.6985i	0.426336	+	1.10831i
$819$	0.0898338	+	1.01799i	0.00313905	+	0.0355713i
$820$	−20.5328	+	43.2043i	−0.717035	+	1.50876i
$821$	−22.8738	−	29.8098i	−0.798303	−	1.04037i	−0.998165	−	0.0605446i	$-0.980716\pi$
$821$	−22.8738	−	29.8098i	−0.798303	−	1.04037i	0.199863	−	0.979824i	$-0.435950\pi$
$822$	−2.99640	−	8.31741i	−0.104511	−	0.290103i
$823$	3.32548	−	12.4109i	0.115919	−	0.432615i	−0.883435	−	0.468554i	$-0.844775\pi$
$823$	3.32548	−	12.4109i	0.115919	−	0.432615i	0.999354	+	0.0359382i	$0.0114419\pi$
$824$	2.16425	+	39.6921i	0.0753953	+	1.38274i
$825$	0.182313	+	0.468295i	0.00634732	+	0.0163039i
$826$	−15.2789	−	9.34813i	−0.531621	−	0.325263i
$827$	15.9435	−	38.4909i	0.554408	−	1.33846i	−0.359730	−	0.933057i	$-0.617131\pi$
$827$	15.9435	−	38.4909i	0.554408	−	1.33846i	0.914138	−	0.405403i	$-0.132869\pi$
$828$	−40.2396	−	3.78692i	−1.39842	−	0.131605i
$829$	8.82343	−	3.65478i	0.306450	−	0.126936i	−0.224158	−	0.974553i	$-0.571963\pi$
$829$	8.82343	−	3.65478i	0.306450	−	0.126936i	0.530609	+	0.847617i	$0.321963\pi$
$830$	−13.1843	−	18.1198i	−0.457635	−	0.628949i
$831$	0.678561	+	6.17444i	0.0235390	+	0.214189i
$832$	−0.0324089	+	1.47587i	−0.00112358	+	0.0511667i
$833$	−17.3668	+	10.0267i	−0.601723	+	0.347405i
$834$	4.95952	+	22.7238i	0.171734	+	0.786860i
$835$	−47.9908	−	6.31810i	−1.66079	−	0.218647i
$836$	4.02323	+	4.45562i	0.139146	+	0.154101i
$837$	−24.0968	+	11.9170i	−0.832906	+	0.411913i
$838$	1.03313	+	0.0263256i	0.0356889	+	0.000909403i
$839$	2.31228	−	0.619573i	0.0798287	−	0.0213900i	−0.218684	−	0.975796i	$-0.570176\pi$
$839$	2.31228	−	0.619573i	0.0798287	−	0.0213900i	0.298512	+	0.954406i	$0.403510\pi$
$840$	−19.7944	+	3.27431i	−0.682973	+	0.112974i
$841$	−22.9034	−	6.13695i	−0.789772	−	0.211619i
$842$	−52.0781	−	15.3864i	−1.79473	−	0.530249i
$843$	−25.9801	−	7.56192i	−0.894803	−	0.260446i
$844$	−15.4885	+	10.6771i	−0.533136	+	0.367520i
$845$	26.5753	−	11.0078i	0.914217	−	0.378681i
$846$	21.2017	+	31.9311i	0.728928	+	1.09781i
$847$	−5.04645			−0.173398
$848$	−21.7321	+	13.4018i	−0.746283	+	0.460219i
$849$	−27.3127	−	12.0056i	−0.937369	−	0.412032i
$850$	0.388647	−	0.480630i	0.0133305	−	0.0164855i
$851$	38.7359	−	50.4816i	1.32785	−	1.73049i
$852$	0.316290	−	4.36147i	0.0108359	−	0.149421i
$853$	2.30831	−	1.77123i	0.0790350	−	0.0606457i	−0.568488	−	0.822691i	$-0.692472\pi$
$853$	2.30831	−	1.77123i	0.0790350	−	0.0606457i	0.647523	+	0.762046i	$0.275805\pi$
$854$	−10.6378	+	10.1091i	−0.364017	+	0.345927i
$855$	−2.89298	+	4.54861i	−0.0989378	+	0.155559i
$856$	−3.30049	+	43.1004i	−0.112808	+	1.47314i
$857$	2.77789	+	10.3672i	0.0948909	+	0.354138i	0.997003	−	0.0773644i	$-0.0246505\pi$
$857$	2.77789	+	10.3672i	0.0948909	+	0.354138i	−0.902112	+	0.431502i	$0.857984\pi$
$858$	−1.66916	+	0.140512i	−0.0569843	+	0.00479701i
$859$	6.85162	+	52.0432i	0.233774	+	1.77569i	0.558128	+	0.829755i	$0.311520\pi$
$859$	6.85162	+	52.0432i	0.233774	+	1.77569i	−0.324354	+	0.945936i	$0.605147\pi$
$860$	−3.73324	−	7.30146i	−0.127302	−	0.248978i
$861$	−17.8719	+	29.4769i	−0.609072	+	1.00457i
$862$	12.4731	+	17.1423i	0.424835	+	0.583871i
$863$	−7.25508			−0.246966			−0.123483	−	0.992347i	$-0.539406\pi$
$863$	−7.25508			−0.246966			−0.123483	+	0.992347i	$0.539406\pi$
$864$	−29.3396	−	1.78609i	−0.998152	−	0.0607639i
$865$	49.4329			1.68077
$866$	22.3402	+	30.7032i	0.759151	+	1.04334i
$867$	12.7203	−	20.9802i	0.432004	−	0.712525i
$868$	−17.0070	+	8.69570i	−0.577256	+	0.295151i
$869$	−1.70011	−	12.9136i	−0.0576723	−	0.438065i
$870$	−12.4530	+	1.04831i	−0.422195	+	0.0355409i
$871$	0.144888	+	0.540731i	0.00490936	+	0.0183220i
$872$	27.9942	−	24.0117i	0.948002	−	0.813139i
$873$	4.69033	+	0.201250i	0.158744	+	0.00681127i
$874$	−5.59329	+	5.31532i	−0.189196	+	0.179793i
$875$	−16.5000	+	12.6609i	−0.557801	+	0.428016i
$876$	46.2994	+	3.35759i	1.56431	+	0.113442i
$877$	33.9050	−	44.1859i	1.14489	−	1.49205i	0.302529	−	0.953140i	$-0.402169\pi$
$877$	33.9050	−	44.1859i	1.14489	−	1.49205i	0.842363	−	0.538911i	$-0.181164\pi$
$878$	5.75751	−	7.12018i	0.194307	−	0.240294i
$879$	10.2109	+	4.48833i	0.344406	+	0.151388i
$880$	−5.23596	−	32.4665i	−0.176504	−	1.09445i
$881$	5.20008			0.175195			0.0875976	−	0.996156i	$-0.472081\pi$
$881$	5.20008			0.175195			0.0875976	+	0.996156i	$0.472081\pi$
$882$	15.2103	−	0.952537i	0.512158	−	0.0320736i
$883$	−18.3299	+	7.59247i	−0.616849	+	0.255507i	−0.669154	−	0.743124i	$-0.733343\pi$
$883$	−18.3299	+	7.59247i	−0.616849	+	0.255507i	0.0523050	+	0.998631i	$0.483343\pi$
$884$	1.16935	+	1.69630i	0.0393297	+	0.0570527i
$885$	25.3129	+	7.36772i	0.850885	+	0.247663i
$886$	−29.5786	−	8.73893i	−0.993712	−	0.293590i
$887$	15.8339	+	4.24268i	0.531650	+	0.142455i	0.514650	−	0.857400i	$-0.327922\pi$
$887$	15.8339	+	4.24268i	0.531650	+	0.142455i	0.0170000	+	0.999855i	$0.494588\pi$
$888$	26.9431	−	37.6234i	0.904152	−	1.26256i
$889$	27.3424	−	7.32638i	0.917035	−	0.245719i
$890$	50.9963	+	1.29946i	1.70940	+	0.0435579i
$891$	−1.50496	−	33.3191i	−0.0504181	−	1.11623i
$892$	−29.7727	+	26.8835i	−0.996863	+	0.900125i
$893$	7.25473	+	0.955104i	0.242770	+	0.0319613i
$894$	−0.596139	−	2.73142i	−0.0199379	−	0.0913522i
$895$	18.3925	−	10.6189i	0.614794	−	0.354952i
$896$	−20.8621	−	0.990263i	−0.696953	−	0.0330824i
$897$	−0.235194	−	2.14010i	−0.00785290	−	0.0714560i
$898$	−18.4544	−	25.3627i	−0.615831	−	0.846365i
$899$	−10.9920	+	4.55303i	−0.366603	+	0.151852i
$900$	−0.427027	+	0.195723i	−0.0142342	+	0.00652408i
$901$	−13.6365	+	32.9215i	−0.454298	+	1.09677i
$902$	−48.1971	−	29.4886i	−1.60479	−	0.981861i
$903$	−2.14392	−	5.50695i	−0.0713451	−	0.183260i
$904$	−16.9143	+	18.8653i	−0.562563	+	0.627449i
$905$	−2.19750	+	8.20120i	−0.0730475	+	0.272617i
$906$	−3.27484	−	9.09029i	−0.108799	−	0.302005i
$907$	−15.9379	−	20.7707i	−0.529209	−	0.689679i	0.449885	−	0.893086i	$-0.351465\pi$
$907$	−15.9379	−	20.7707i	−0.529209	−	0.689679i	−0.979094	+	0.203408i	$0.934798\pi$
$908$	40.7532	+	19.3679i	1.35244	+	0.642745i
$909$	−28.2111	−	13.1292i	−0.935703	−	0.435469i
$910$	−0.383710	−	0.997498i	−0.0127199	−	0.0330668i
$911$	−2.94043	−	1.69766i	−0.0974207	−	0.0562459i	0.450498	−	0.892777i	$-0.351246\pi$
$911$	−2.94043	−	1.69766i	−0.0974207	−	0.0562459i	−0.547919	+	0.836532i	$0.684580\pi$
$912$	−3.93788	+	3.99784i	−0.130396	+	0.132382i
$913$	22.9229	−	13.2346i	0.758638	−	0.438000i
$914$	18.5004	+	14.9598i	0.611939	+	0.494826i
$915$	11.1982	−	18.4698i	0.370202	−	0.610592i
$916$	−6.13661	+	33.3724i	−0.202759	+	1.10266i
$917$	−9.79216	+	23.6404i	−0.323366	+	0.780673i
$918$	−34.6546	+	21.9543i	−1.14377	+	0.724599i
$919$	8.52265	+	8.52265i	0.281136	+	0.281136i	0.833562	−	0.552426i	$-0.186298\pi$
$919$	8.52265	+	8.52265i	0.281136	+	0.281136i	−0.552426	+	0.833562i	$0.686298\pi$
$920$	41.5447	−	7.79065i	1.36969	−	0.256850i
$921$	−3.48167	+	22.6775i	−0.114725	+	0.747249i
$922$	−7.43543	−	13.6714i	−0.244873	−	0.450244i
$923$	0.230948	−	0.0304048i	0.00760173	−	0.00100079i
$924$	−1.38576	−	23.6582i	−0.0455881	−	0.778297i
$925$	0.0965287	−	0.733208i	0.00317384	−	0.0241077i
$926$	−22.1823	−	9.85751i	−0.728957	−	0.323938i
$927$	−9.15657	−	41.1561i	−0.300741	−	1.35174i
$928$	−12.9037	−	1.65262i	−0.423585	−	0.0542498i
$929$	−17.7887	−	10.2703i	−0.583628	−	0.336958i	0.178946	−	0.983859i	$-0.442731\pi$
$929$	−17.7887	−	10.2703i	−0.583628	−	0.336958i	−0.762574	+	0.646901i	$0.776065\pi$
$930$	20.7900	−	18.9253i	0.681732	−	0.620587i
$931$	1.77118	−	2.30824i	0.0580480	−	0.0756496i
$932$	9.84876	−	5.03568i	0.322607	−	0.164949i
$933$	−11.1249	+	10.6578i	−0.364212	+	0.348920i
$934$	−1.21640	−	0.744234i	−0.0398018	−	0.0243521i
$935$	−32.4543	−	32.4543i	−1.06137	−	1.06137i
$936$	−0.222354	−	1.54991i	−0.00726788	−	0.0506603i
$937$	−28.2853	+	28.2853i	−0.924042	+	0.924042i	−0.997312	−	0.0732704i	$-0.976656\pi$
$937$	−28.2853	+	28.2853i	−0.924042	+	0.924042i	0.0732704	+	0.997312i	$0.476656\pi$
$938$	−7.69995	+	1.85433i	−0.251412	+	0.0605460i
$939$	10.2850	−	35.3356i	0.335638	−	1.15313i
$940$	−30.5172	−	25.9900i	−0.995363	−	0.847699i
$941$	−7.69889	−	5.90757i	−0.250977	−	0.192581i	0.475609	−	0.879657i	$-0.342228\pi$
$941$	−7.69889	−	5.90757i	−0.250977	−	0.192581i	−0.726586	+	0.687075i	$0.758894\pi$
$942$	3.47235	−	5.41121i	0.113135	−	0.176307i
$943$	36.3117	−	62.8938i	1.18247	−	2.04810i
$944$	24.1548	+	13.0270i	0.786171	+	0.423993i
$945$	20.1434	−	6.86311i	0.655264	−	0.223257i
$946$	9.04056	−	3.47765i	0.293934	−	0.113068i
$947$	15.7794	+	2.07739i	0.512761	+	0.0675063i	0.382467	−	0.923969i	$-0.375075\pi$
$947$	15.7794	+	2.07739i	0.512761	+	0.0675063i	0.130294	+	0.991475i	$0.458408\pi$
$948$	11.9575	−	2.29231i	0.388361	−	0.0744508i
$949$	0.322764	+	2.45164i	0.0104774	+	0.0795835i
$950$	−0.0254095	+	0.0860033i	−0.000824392	+	0.00279031i
$951$	−4.19747	+	5.23397i	−0.136112	+	0.169723i
$952$	−24.4128	+	15.9272i	−0.791222	+	0.516205i
$953$	−16.9581	+	16.9581i	−0.549326	+	0.549326i	−0.926246	−	0.376920i	$-0.876983\pi$
$953$	−16.9581	+	16.9581i	−0.549326	+	0.549326i	0.376920	+	0.926246i	$0.376983\pi$
$954$	20.4124	−	17.7964i	0.660875	−	0.576181i
$955$	−11.5647	−	4.79027i	−0.374226	−	0.155010i
$956$	9.84365	+	45.9922i	0.318367	+	1.48749i
$957$	0.316468	−	14.7580i	0.0102299	−	0.477058i
$958$	3.75143	+	35.4524i	0.121203	+	1.14541i
$959$	3.33136	+	5.77009i	0.107575	+	0.186326i
$960$	30.0101	−	6.66054i	0.968571	−	0.214968i
$961$	−2.11723	+	3.66714i	−0.0682976	+	0.118295i
$962$	2.25265	+	1.00104i	0.0726283	+	0.0322750i
$963$	−4.03033	−	45.6712i	−0.129876	−	1.47173i
$964$	18.5022	−	16.7067i	0.595916	−	0.538087i
$965$	36.2966	−	27.8514i	1.16843	−	0.896567i
$966$	30.3530	−	2.55515i	0.976591	−	0.0822106i
$967$	−28.2050	−	7.55751i	−0.907011	−	0.243033i	−0.224986	−	0.974362i	$-0.572234\pi$
$967$	−28.2050	−	7.55751i	−0.907011	−	0.243033i	−0.682025	+	0.731329i	$0.738900\pi$
$968$	7.72049	−	0.420967i	0.248146	−	0.0135304i
$969$	−1.18848	+	7.74106i	−0.0381796	+	0.248679i
$970$	−4.77323	+	1.14951i	−0.153259	+	0.0369084i
$971$	6.72511	+	2.78563i	0.215819	+	0.0893951i	0.487974	−	0.872858i	$-0.337736\pi$
$971$	6.72511	+	2.78563i	0.215819	+	0.0893951i	−0.272155	+	0.962254i	$0.587736\pi$
$972$	31.0096	−	3.22554i	0.994634	−	0.103459i
$973$	−6.70796	−	16.1945i	−0.215047	−	0.519170i
$974$	9.06803	−	57.5153i	0.290558	−	1.84291i
$975$	−0.0148037	−	0.0201739i	−0.000474099	−	0.000646080i
$976$	15.4313	−	16.3532i	0.493944	−	0.523453i
$977$	7.37740	+	12.7780i	0.236024	+	0.408806i	0.959570	−	0.281471i	$-0.0908223\pi$
$977$	7.37740	+	12.7780i	0.236024	+	0.408806i	−0.723546	+	0.690276i	$0.757489\pi$
$978$	−36.2838	+	18.7370i	−1.16023	+	0.599143i
$979$	−7.86498	+	59.7405i	−0.251366	+	1.90931i
$980$	−15.0165	+	5.34144i	−0.479686	+	0.170626i
$981$	−25.1224	+	29.9855i	−0.802096	+	0.957363i
$982$	−32.9698	−	34.6939i	−1.05211	−	1.10713i
$983$	0.369477	+	1.37891i	0.0117845	+	0.0439803i	0.971568	−	0.236762i	$-0.0760861\pi$
$983$	0.369477	+	1.37891i	0.0117845	+	0.0439803i	−0.959783	+	0.280742i	$0.909419\pi$
$984$	24.8830	−	46.5872i	0.793241	−	1.48514i
$985$	−3.27918	+	12.2381i	−0.104483	+	0.389937i
$986$	−15.9498	+	8.67461i	−0.507947	+	0.276256i
$987$	−19.9831	−	20.8589i	−0.636069	−	0.663947i
$988$	−0.250925	−	0.162451i	−0.00798299	−	0.00516825i
$989$	4.76442	+	11.5023i	0.151500	+	0.365753i
$990$	11.1160	+	33.0622i	0.353290	+	1.05079i
$991$			8.19411i			0.260294i	0.991495	+	0.130147i	$0.0415450\pi$
$991$			8.19411i			0.260294i	−0.991495	+	0.130147i	$0.958455\pi$
$992$	25.2934	−	14.7221i	0.803067	−	0.467428i
$993$	−50.3741	+	5.53603i	−1.59857	+	0.175681i
$994$	0.346794	+	3.27733i	0.0109996	+	0.103950i
$995$	−19.0279	−	14.6006i	−0.603226	−	0.462872i
$996$	13.6028	+	20.6672i	0.431022	+	0.654867i
$997$	9.54948	+	12.4451i	0.302435	+	0.394141i	0.919705	−	0.392611i	$-0.128428\pi$
$997$	9.54948	+	12.4451i	0.302435	+	0.394141i	−0.617270	+	0.786752i	$0.711761\pi$
$998$	23.6494	+	0.602620i	0.748609	+	0.0190756i
$999$	−21.6592	+	44.0456i	−0.685265	+	1.39354i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	288.2.bf.a.11.10	✓	368
3.2	odd	2		864.2.bn.a.683.37		368
9.4	even	3		864.2.bn.a.395.22		368
9.5	odd	6	inner	288.2.bf.a.203.25	yes	368
32.3	odd	8	inner	288.2.bf.a.227.25	yes	368
96.35	even	8		864.2.bn.a.35.22		368
288.67	odd	24		864.2.bn.a.611.37		368
288.131	even	24	inner	288.2.bf.a.131.10	yes	368

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
288.2.bf.a.11.10	✓	368	1.1	even	1	trivial
288.2.bf.a.131.10	yes	368	288.131	even	24	inner
288.2.bf.a.203.25	yes	368	9.5	odd	6	inner
288.2.bf.a.227.25	yes	368	32.3	odd	8	inner
864.2.bn.a.35.22		368	96.35	even	8
864.2.bn.a.395.22		368	9.4	even	3
864.2.bn.a.611.37		368	288.67	odd	24
864.2.bn.a.683.37		368	3.2	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 288 = 2^{5} \cdot 3^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	288.bf (of order \(24\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.14354 + 0.832059i) q^{2} +(0.897985 - 1.48109i) q^{3} +(0.615355 - 1.90298i) q^{4} +(-0.289571 - 2.19951i) q^{5} +(0.205474 + 2.44086i) q^{6} +(-0.477791 - 1.78314i) q^{7} +(0.879712 + 2.68814i) q^{8} +(-1.38725 - 2.65999i) q^{9} +O(q^{10})\)	\(q+(-1.14354 + 0.832059i) q^{2} +(0.897985 - 1.48109i) q^{3} +(0.615355 - 1.90298i) q^{4} +(-0.289571 - 2.19951i) q^{5} +(0.205474 + 2.44086i) q^{6} +(-0.477791 - 1.78314i) q^{7} +(0.879712 + 2.68814i) q^{8} +(-1.38725 - 2.65999i) q^{9} +(2.16126 + 2.27428i) q^{10} +(-2.94008 + 2.25601i) q^{11} +(-2.26590 - 2.62024i) q^{12} +(0.112334 - 0.146396i) q^{13} +(2.03005 + 1.64154i) q^{14} +(-3.51770 - 1.54625i) q^{15} +(-3.24268 - 2.34202i) q^{16} -5.58260 q^{17} +(3.79964 + 1.88753i) q^{18} +(0.748304 - 0.309958i) q^{19} +(-4.36382 - 0.802432i) q^{20} +(-3.07004 - 0.893581i) q^{21} +(1.48497 - 5.02615i) q^{22} +(6.50671 + 1.74347i) q^{23} +(4.77134 + 1.11098i) q^{24} +(0.0756229 - 0.0202631i) q^{25} +(-0.00664754 + 0.260878i) q^{26} +(-5.18541 - 0.333995i) q^{27} +(-3.68729 - 0.188037i) q^{28} +(-2.28003 - 0.300172i) q^{29} +(5.30920 - 1.15875i) q^{30} +(4.48042 - 2.58677i) q^{31} +(5.65682 - 0.0199135i) q^{32} +(0.701194 + 6.38038i) q^{33} +(6.38391 - 4.64505i) q^{34} +(-3.78368 + 1.56725i) q^{35} +(-5.91556 + 1.00307i) q^{36} +(3.61484 - 8.72698i) q^{37} +(-0.597810 + 0.977081i) q^{38} +(-0.115952 - 0.297838i) q^{39} +(5.65786 - 2.71335i) q^{40} +(2.79033 - 10.4137i) q^{41} +(4.25421 - 1.53261i) q^{42} +(1.12512 + 1.46629i) q^{43} +(2.48394 + 6.98317i) q^{44} +(-5.44898 + 3.82152i) q^{45} +(-8.89133 + 3.42025i) q^{46} +(7.82386 + 4.51711i) q^{47} +(-6.38061 + 2.69959i) q^{48} +(3.11088 - 1.79607i) q^{49} +(-0.0696175 + 0.0860944i) q^{50} +(-5.01309 + 8.26832i) q^{51} +(-0.209464 - 0.303855i) q^{52} +(2.44268 - 5.89716i) q^{53} +(6.20761 - 3.93263i) q^{54} +(5.81348 + 5.81348i) q^{55} +(4.37301 - 2.85302i) q^{56} +(0.212891 - 1.38664i) q^{57} +(2.85707 - 1.55387i) q^{58} +(-6.80223 + 0.895530i) q^{59} +(-5.10712 + 5.74263i) q^{60} +(-0.733704 + 5.57303i) q^{61} +(-2.97118 + 6.68604i) q^{62} +(-4.08032 + 3.74457i) q^{63} +(-6.45221 + 4.72958i) q^{64} +(-0.354529 - 0.204688i) q^{65} +(-6.11070 - 6.71277i) q^{66} +(-1.84680 + 2.40680i) q^{67} +(-3.43528 + 10.6236i) q^{68} +(8.42515 - 8.07140i) q^{69} +(3.02274 - 4.94046i) q^{70} +(0.892619 + 0.892619i) q^{71} +(5.93005 - 6.06914i) q^{72} +(-9.47565 + 9.47565i) q^{73} +(3.12767 + 12.9874i) q^{74} +(0.0378968 - 0.130200i) q^{75} +(-0.129371 - 1.61474i) q^{76} +(5.42752 + 4.16468i) q^{77} +(0.380414 + 0.244110i) q^{78} +(-1.75734 + 3.04381i) q^{79} +(-4.21231 + 7.81049i) q^{80} +(-5.15109 + 7.38013i) q^{81} +(5.47393 + 14.2301i) q^{82} +(-7.08133 - 0.932274i) q^{83} +(-3.58963 + 5.29235i) q^{84} +(1.61656 + 12.2790i) q^{85} +(-2.50666 - 0.740587i) q^{86} +(-2.49202 + 3.10738i) q^{87} +(-8.65089 - 5.91873i) q^{88} +(11.4972 - 11.4972i) q^{89} +(3.05137 - 8.90393i) q^{90} +(-0.314717 - 0.130360i) q^{91} +(7.32172 - 11.3093i) q^{92} +(0.192111 - 8.95878i) q^{93} +(-12.7054 + 1.34443i) q^{94} +(-0.898443 - 1.55615i) q^{95} +(5.05024 - 8.39613i) q^{96} +(-0.782440 + 1.35523i) q^{97} +(-2.06297 + 4.64230i) q^{98} +(10.0796 + 4.69096i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 368 q - 12 q^{2} - 8 q^{3} - 4 q^{4} - 12 q^{5} - 8 q^{6} - 4 q^{7} - 8 q^{9}+O(q^{10}) \) 368 * q - 12 * q^2 - 8 * q^3 - 4 * q^4 - 12 * q^5 - 8 * q^6 - 4 * q^7 - 8 * q^9	\( 368 q - 12 q^{2} - 8 q^{3} - 4 q^{4} - 12 q^{5} - 8 q^{6} - 4 q^{7} - 8 q^{9} - 16 q^{10} - 12 q^{11} - 8 q^{12} - 4 q^{13} - 12 q^{14} - 16 q^{15} - 4 q^{16} - 8 q^{18} - 16 q^{19} - 12 q^{20} - 8 q^{21} - 4 q^{22} - 12 q^{23} + 32 q^{24} - 4 q^{25} + 16 q^{27} - 16 q^{28} - 12 q^{29} - 56 q^{30} - 12 q^{32} - 16 q^{33} - 12 q^{34} - 60 q^{36} - 16 q^{37} - 12 q^{38} + 16 q^{39} - 4 q^{40} - 12 q^{41} - 8 q^{42} - 4 q^{43} - 8 q^{45} - 16 q^{46} - 24 q^{47} - 60 q^{48} - 168 q^{50} - 32 q^{51} - 4 q^{52} - 52 q^{54} - 16 q^{55} - 12 q^{56} - 8 q^{57} + 32 q^{58} - 12 q^{59} - 20 q^{60} - 4 q^{61} - 16 q^{64} - 24 q^{65} - 80 q^{66} - 4 q^{67} - 60 q^{68} - 8 q^{69} - 4 q^{70} + 52 q^{72} - 16 q^{73} - 12 q^{74} - 28 q^{75} - 28 q^{76} - 12 q^{77} + 80 q^{78} - 8 q^{79} - 16 q^{82} - 132 q^{83} - 104 q^{84} - 24 q^{85} - 12 q^{86} - 64 q^{87} - 4 q^{88} + 124 q^{90} - 16 q^{91} + 216 q^{92} - 20 q^{93} - 20 q^{94} + 92 q^{96} - 8 q^{97} - 72 q^{99}+O(q^{100}) \) 368 * q - 12 * q^2 - 8 * q^3 - 4 * q^4 - 12 * q^5 - 8 * q^6 - 4 * q^7 - 8 * q^9 - 16 * q^10 - 12 * q^11 - 8 * q^12 - 4 * q^13 - 12 * q^14 - 16 * q^15 - 4 * q^16 - 8 * q^18 - 16 * q^19 - 12 * q^20 - 8 * q^21 - 4 * q^22 - 12 * q^23 + 32 * q^24 - 4 * q^25 + 16 * q^27 - 16 * q^28 - 12 * q^29 - 56 * q^30 - 12 * q^32 - 16 * q^33 - 12 * q^34 - 60 * q^36 - 16 * q^37 - 12 * q^38 + 16 * q^39 - 4 * q^40 - 12 * q^41 - 8 * q^42 - 4 * q^43 - 8 * q^45 - 16 * q^46 - 24 * q^47 - 60 * q^48 - 168 * q^50 - 32 * q^51 - 4 * q^52 - 52 * q^54 - 16 * q^55 - 12 * q^56 - 8 * q^57 + 32 * q^58 - 12 * q^59 - 20 * q^60 - 4 * q^61 - 16 * q^64 - 24 * q^65 - 80 * q^66 - 4 * q^67 - 60 * q^68 - 8 * q^69 - 4 * q^70 + 52 * q^72 - 16 * q^73 - 12 * q^74 - 28 * q^75 - 28 * q^76 - 12 * q^77 + 80 * q^78 - 8 * q^79 - 16 * q^82 - 132 * q^83 - 104 * q^84 - 24 * q^85 - 12 * q^86 - 64 * q^87 - 4 * q^88 + 124 * q^90 - 16 * q^91 + 216 * q^92 - 20 * q^93 - 20 * q^94 + 92 * q^96 - 8 * q^97 - 72 * q^99

Introduction

L-functions

Modular forms

Varieties

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