LMFDB - Embedded newform 320.2.bd.a.43.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [320,2,Mod(43,320)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(320, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([8, 13, 12]))

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

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

chi := DirichletCharacter("320.43");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 320 = 2^{6} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	320.bd (of order $16$, 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:	$2.55521286468$
Analytic rank:	$0$
Dimension:	$368$
Relative dimension:	$46$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			43.9
Character	$\chi$	$=$	320.43
Dual form			320.2.bd.a.67.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.17265 + 0.790504i) q^{2} +(-1.40177 - 0.936632i) q^{3} +(0.750206 - 1.85397i) q^{4} +(-0.231774 + 2.22402i) q^{5} +(2.38419 - 0.00976493i) q^{6} +(0.114006 + 0.275234i) q^{7} +(0.585841 + 2.76709i) q^{8} +(-0.0603745 - 0.145757i) q^{9} +O(q^{10})$	\(q+(-1.17265 + 0.790504i) q^{2} +(-1.40177 - 0.936632i) q^{3} +(0.750206 - 1.85397i) q^{4} +(-0.231774 + 2.22402i) q^{5} +(2.38419 - 0.00976493i) q^{6} +(0.114006 + 0.275234i) q^{7} +(0.585841 + 2.76709i) q^{8} +(-0.0603745 - 0.145757i) q^{9} +(-1.48631 - 2.79121i) q^{10} +(0.789210 - 3.96763i) q^{11} +(-2.78810 + 1.89617i) q^{12} +(0.283242 + 1.42395i) q^{13} +(-0.351262 - 0.232630i) q^{14} +(2.40798 - 2.90048i) q^{15} +(-2.87438 - 2.78171i) q^{16} +7.67903i q^{17} +(0.186019 + 0.123195i) q^{18} +(-4.02008 + 6.01648i) q^{19} +(3.94939 + 2.09818i) q^{20} +(0.0979833 - 0.492595i) q^{21} +(2.21096 + 5.27650i) q^{22} +(6.00975 + 2.48932i) q^{23} +(1.77053 - 4.42754i) q^{24} +(-4.89256 - 1.03094i) q^{25} +(-1.45778 - 1.44589i) q^{26} +(-1.03859 + 5.22136i) q^{27} +(0.595802 - 0.00488053i) q^{28} +(1.55577 + 7.82140i) q^{29} +(-0.530876 + 5.30476i) q^{30} +4.45912 q^{31} +(5.56959 + 0.989757i) q^{32} +(-4.82250 + 4.82250i) q^{33} +(-6.07031 - 9.00480i) q^{34} +(-0.638550 + 0.189759i) q^{35} +(-0.315522 + 0.00258460i) q^{36} +(-6.69584 - 1.33188i) q^{37} +(-0.0419117 - 10.2331i) q^{38} +(0.936680 - 2.26134i) q^{39} +(-6.28986 + 0.661586i) q^{40} +(3.48579 + 8.41544i) q^{41} +(0.274499 + 0.655097i) q^{42} +(-4.43540 - 6.63804i) q^{43} +(-6.76378 - 4.43971i) q^{44} +(0.338160 - 0.100492i) q^{45} +(-9.01514 + 1.83164i) q^{46} -3.94117 q^{47} +(1.42378 + 6.59155i) q^{48} +(4.88699 - 4.88699i) q^{49} +(6.55222 - 2.65866i) q^{50} +(7.19243 - 10.7642i) q^{51} +(2.85245 + 0.543136i) q^{52} +(-0.868570 - 1.29991i) q^{53} +(-2.90961 - 6.94383i) q^{54} +(8.64118 + 2.67481i) q^{55} +(-0.694807 + 0.476707i) q^{56} +(11.2704 - 4.66837i) q^{57} +(-8.00722 - 7.94190i) q^{58} +(-1.22279 + 0.817045i) q^{59} +(-3.57091 - 6.64028i) q^{60} +(0.561314 + 2.82192i) q^{61} +(-5.22898 + 3.52495i) q^{62} +(0.0332342 - 0.0332342i) q^{63} +(-7.31358 + 3.24215i) q^{64} +(-3.23255 + 0.299901i) q^{65} +(1.84289 - 9.46729i) q^{66} +(-1.13873 + 1.70423i) q^{67} +(14.2367 + 5.76086i) q^{68} +(-6.09271 - 9.11838i) q^{69} +(0.598789 - 0.727297i) q^{70} +(3.56297 - 8.60177i) q^{71} +(0.367952 - 0.252452i) q^{72} +(-0.0150529 - 0.00623510i) q^{73} +(8.90472 - 3.73126i) q^{74} +(5.89263 + 6.02767i) q^{75} +(8.13846 + 11.9667i) q^{76} +(1.18200 - 0.235114i) q^{77} +(0.689207 + 3.39221i) q^{78} +(6.28790 + 6.28790i) q^{79} +(6.85280 - 5.74797i) q^{80} +(6.01169 - 6.01169i) q^{81} +(-10.7400 - 7.11281i) q^{82} +(1.76457 + 8.87108i) q^{83} +(-0.839747 - 0.551205i) q^{84} +(-17.0784 - 1.77980i) q^{85} +(10.4486 + 4.27788i) q^{86} +(5.14494 - 12.4210i) q^{87} +(11.4411 - 0.140585i) q^{88} +(-1.54033 - 0.638027i) q^{89} +(-0.317103 + 0.385158i) q^{90} +(-0.359628 + 0.240296i) q^{91} +(9.12367 - 9.27438i) q^{92} +(-6.25065 - 4.17655i) q^{93} +(4.62161 - 3.11552i) q^{94} +(-12.4490 - 10.3352i) q^{95} +(-6.88024 - 6.60407i) q^{96} +(1.56230 + 1.56230i) q^{97} +(-1.86753 + 9.59391i) q^{98} +(-0.625957 + 0.124511i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 368 q - 8 q^{2} - 8 q^{3} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 8 q^{8}+O(q^{10}) $ 368 * q - 8 * q^2 - 8 * q^3 - 8 * q^5 - 16 * q^6 - 8 * q^7 - 8 * q^8	$ 368 q - 8 q^{2} - 8 q^{3} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 8 q^{8} - 8 q^{10} - 16 q^{11} + 24 q^{12} - 8 q^{13} + 32 q^{14} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 8 q^{20} - 16 q^{21} - 40 q^{22} - 8 q^{23} - 16 q^{24} - 8 q^{25} - 16 q^{26} - 8 q^{27} - 8 q^{28} - 72 q^{30} - 32 q^{31} - 8 q^{32} + 32 q^{34} - 8 q^{35} - 16 q^{36} - 8 q^{37} - 64 q^{38} - 112 q^{40} - 16 q^{41} - 8 q^{42} - 8 q^{43} - 32 q^{45} - 16 q^{46} - 16 q^{47} + 96 q^{48} + 96 q^{50} - 48 q^{51} - 8 q^{52} - 8 q^{53} - 8 q^{55} + 80 q^{56} - 8 q^{57} - 72 q^{58} - 64 q^{60} - 16 q^{61} - 24 q^{62} - 16 q^{65} + 80 q^{66} - 8 q^{67} + 80 q^{68} - 64 q^{69} - 8 q^{70} - 80 q^{71} - 128 q^{72} - 8 q^{73} - 8 q^{75} + 48 q^{76} - 8 q^{77} - 160 q^{78} + 32 q^{79} - 8 q^{80} - 16 q^{81} - 8 q^{82} - 8 q^{83} + 32 q^{85} - 16 q^{86} - 120 q^{87} + 80 q^{88} - 8 q^{90} - 16 q^{91} - 232 q^{92} - 32 q^{93} - 32 q^{94} - 16 q^{95} - 16 q^{96} - 48 q^{98} - 128 q^{99}+O(q^{100}) $ 368 * q - 8 * q^2 - 8 * q^3 - 8 * q^5 - 16 * q^6 - 8 * q^7 - 8 * q^8 - 8 * q^10 - 16 * q^11 + 24 * q^12 - 8 * q^13 + 32 * q^14 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 8 * q^20 - 16 * q^21 - 40 * q^22 - 8 * q^23 - 16 * q^24 - 8 * q^25 - 16 * q^26 - 8 * q^27 - 8 * q^28 - 72 * q^30 - 32 * q^31 - 8 * q^32 + 32 * q^34 - 8 * q^35 - 16 * q^36 - 8 * q^37 - 64 * q^38 - 112 * q^40 - 16 * q^41 - 8 * q^42 - 8 * q^43 - 32 * q^45 - 16 * q^46 - 16 * q^47 + 96 * q^48 + 96 * q^50 - 48 * q^51 - 8 * q^52 - 8 * q^53 - 8 * q^55 + 80 * q^56 - 8 * q^57 - 72 * q^58 - 64 * q^60 - 16 * q^61 - 24 * q^62 - 16 * q^65 + 80 * q^66 - 8 * q^67 + 80 * q^68 - 64 * q^69 - 8 * q^70 - 80 * q^71 - 128 * q^72 - 8 * q^73 - 8 * q^75 + 48 * q^76 - 8 * q^77 - 160 * q^78 + 32 * q^79 - 8 * q^80 - 16 * q^81 - 8 * q^82 - 8 * q^83 + 32 * q^85 - 16 * q^86 - 120 * q^87 + 80 * q^88 - 8 * q^90 - 16 * q^91 - 232 * q^92 - 32 * q^93 - 32 * q^94 - 16 * q^95 - 16 * q^96 - 48 * q^98 - 128 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/320\mathbb{Z}\right)^\times$.

$n$	$191$	$257$	$261$
$\chi(n)$	$-1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{13}{16}\right)$

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 $

$2$	−1.17265	+	0.790504i	−0.829187	+	0.558971i
$2$	−1.17265	+	0.790504i	−0.829187	+	0.558971i
$3$	−1.40177	−	0.936632i	−0.809311	−	0.540765i	0.0806810	−	0.996740i	$-0.474291\pi$
$3$	−1.40177	−	0.936632i	−0.809311	−	0.540765i	−0.889992	+	0.455975i	$0.849291\pi$
$4$	0.750206	−	1.85397i	0.375103	−	0.926983i
$5$	−0.231774	+	2.22402i	−0.103652	+	0.994614i
$5$	−0.231774	+	2.22402i	−0.103652	+	0.994614i
$6$	2.38419	−	0.00976493i	0.973342	−	0.00398651i
$7$	0.114006	+	0.275234i	0.0430900	+	0.104029i	0.943959	−	0.330062i	$-0.107070\pi$
$7$	0.114006	+	0.275234i	0.0430900	+	0.104029i	−0.900869	+	0.434091i	$0.857070\pi$
$8$	0.585841	+	2.76709i	0.207126	+	0.978314i
$9$	−0.0603745	−	0.145757i	−0.0201248	−	0.0485856i
$10$	−1.48631	−	2.79121i	−0.470013	−	0.882660i
$11$	0.789210	−	3.96763i	0.237956	−	1.19628i	−0.658303	−	0.752753i	$-0.728725\pi$
$11$	0.789210	−	3.96763i	0.237956	−	1.19628i	0.896259	−	0.443532i	$-0.146275\pi$
$12$	−2.78810	+	1.89617i	−0.804855	+	0.547376i
$13$	0.283242	+	1.42395i	0.0785571	+	0.394933i	0.999980	+	0.00637130i	$0.00202806\pi$
$13$	0.283242	+	1.42395i	0.0785571	+	0.394933i	−0.921423	+	0.388562i	$0.872972\pi$
$14$	−0.351262	−	0.232630i	−0.0938787	−	0.0621731i
$15$	2.40798	−	2.90048i	0.621739	−	0.748901i
$16$	−2.87438	−	2.78171i	−0.718596	−	0.695428i
$17$			7.67903i			1.86244i	0.364458	+	0.931220i	$0.381254\pi$
$17$			7.67903i			1.86244i	−0.364458	+	0.931220i	$0.618746\pi$
$18$	0.186019	+	0.123195i	0.0438452	+	0.0290374i
$19$	−4.02008	+	6.01648i	−0.922270	+	1.38027i	0.00260231	+	0.999997i	$0.499172\pi$
$19$	−4.02008	+	6.01648i	−0.922270	+	1.38027i	−0.924872	+	0.380278i	$0.875828\pi$
$20$	3.94939	+	2.09818i	0.883110	+	0.469166i
$21$	0.0979833	−	0.492595i	0.0213817	−	0.107493i
$22$	2.21096	+	5.27650i	0.471378	+	1.12495i
$23$	6.00975	+	2.48932i	1.25312	+	0.519059i	0.907791	−	0.419422i	$-0.137767\pi$
$23$	6.00975	+	2.48932i	1.25312	+	0.519059i	0.345329	+	0.938482i	$0.387767\pi$
$24$	1.77053	−	4.42754i	0.361408	−	0.903767i
$25$	−4.89256	−	1.03094i	−0.978512	−	0.206188i
$26$	−1.45778	−	1.44589i	−0.285895	−	0.283562i
$27$	−1.03859	+	5.22136i	−0.199877	+	1.00485i
$28$	0.595802	−	0.00488053i	0.112596	−	0.000922333i
$29$	1.55577	+	7.82140i	0.288900	+	1.45240i	0.803673	+	0.595071i	$0.202876\pi$
$29$	1.55577	+	7.82140i	0.288900	+	1.45240i	−0.514773	+	0.857326i	$0.672124\pi$
$30$	−0.530876	+	5.30476i	−0.0969243	+	0.968513i
$31$	4.45912			0.800882			0.400441	−	0.916323i	$-0.368857\pi$
$31$	4.45912			0.800882			0.400441	+	0.916323i	$0.368857\pi$
$32$	5.56959	+	0.989757i	0.984574	+	0.174966i
$33$	−4.82250	+	4.82250i	−0.839489	+	0.839489i
$34$	−6.07031	−	9.00480i	−1.04105	−	1.54431i
$35$	−0.638550	+	0.189759i	−0.107935	+	0.0320751i
$36$	−0.315522	+	0.00258460i	−0.0525869	+	0.000430767i
$37$	−6.69584	−	1.33188i	−1.10079	−	0.218960i	−0.388919	−	0.921272i	$-0.627151\pi$
$37$	−6.69584	−	1.33188i	−1.10079	−	0.218960i	−0.711870	+	0.702312i	$0.752151\pi$
$38$	−0.0419117	−	10.2331i	−0.00679897	−	1.66003i
$39$	0.936680	−	2.26134i	0.149989	−	0.362105i
$40$	−6.28986	+	0.661586i	−0.994514	+	0.104606i
$41$	3.48579	+	8.41544i	0.544389	+	1.31427i	0.921599	+	0.388143i	$0.126883\pi$
$41$	3.48579	+	8.41544i	0.544389	+	1.31427i	−0.377211	+	0.926128i	$0.623117\pi$
$42$	0.274499	+	0.655097i	0.0423561	+	0.101084i
$43$	−4.43540	−	6.63804i	−0.676392	−	1.01229i	−0.997861	−	0.0653719i	$-0.979177\pi$
$43$	−4.43540	−	6.63804i	−0.676392	−	1.01229i	0.321469	−	0.946920i	$-0.395823\pi$
$44$	−6.76378	−	4.43971i	−1.01968	−	0.669311i
$45$	0.338160	−	0.100492i	0.0504099	−	0.0149804i
$46$	−9.01514	+	1.83164i	−1.32921	+	0.270060i
$47$	−3.94117			−0.574879			−0.287440	−	0.957799i	$-0.592804\pi$
$47$	−3.94117			−0.574879			−0.287440	+	0.957799i	$0.592804\pi$
$48$	1.42378	+	6.59155i	0.205505	+	0.951409i
$49$	4.88699	−	4.88699i	0.698142	−	0.698142i
$50$	6.55222	−	2.65866i	0.926623	−	0.375991i
$51$	7.19243	−	10.7642i	1.00714	−	1.50729i
$52$	2.85245	+	0.543136i	0.395564	+	0.0753195i
$53$	−0.868570	−	1.29991i	−0.119307	−	0.178556i	0.767009	−	0.641636i	$-0.221744\pi$
$53$	−0.868570	−	1.29991i	−0.119307	−	0.178556i	−0.886316	+	0.463080i	$0.846744\pi$
$54$	−2.90961	−	6.94383i	−0.395947	−	0.944936i
$55$	8.64118	+	2.67481i	1.16518	+	0.360672i
$56$	−0.694807	+	0.476707i	−0.0928475	+	0.0637026i
$57$	11.2704	−	4.66837i	1.49281	−	0.618341i
$58$	−8.00722	−	7.94190i	−1.05140	−	1.04282i
$59$	−1.22279	+	0.817045i	−0.159194	+	0.106370i	−0.632616	−	0.774466i	$-0.718019\pi$
$59$	−1.22279	+	0.817045i	−0.159194	+	0.106370i	0.473422	+	0.880836i	$0.343019\pi$
$60$	−3.57091	−	6.64028i	−0.461002	−	0.857256i
$61$	0.561314	+	2.82192i	0.0718689	+	0.361310i	0.999938	−	0.0110975i	$-0.00353253\pi$
$61$	0.561314	+	2.82192i	0.0718689	+	0.361310i	−0.928069	+	0.372407i	$0.878533\pi$
$62$	−5.22898	+	3.52495i	−0.664081	+	0.447670i
$63$	0.0332342	−	0.0332342i	0.00418711	−	0.00418711i
$64$	−7.31358	+	3.24215i	−0.914197	+	0.405269i
$65$	−3.23255	+	0.299901i	−0.400949	+	0.0371982i
$66$	1.84289	−	9.46729i	0.226843	−	1.16534i
$67$	−1.13873	+	1.70423i	−0.139118	+	0.208205i	−0.894486	−	0.447096i	$-0.852458\pi$
$67$	−1.13873	+	1.70423i	−0.139118	+	0.208205i	0.755368	+	0.655301i	$0.227458\pi$
$68$	14.2367	+	5.76086i	1.72645	+	0.698606i
$69$	−6.09271	−	9.11838i	−0.733476	−	1.09772i
$70$	0.598789	−	0.727297i	0.0715689	−	0.0869286i
$71$	3.56297	−	8.60177i	0.422847	−	1.02084i	−0.558657	−	0.829399i	$-0.688683\pi$
$71$	3.56297	−	8.60177i	0.422847	−	1.02084i	0.981504	−	0.191443i	$-0.0613168\pi$
$72$	0.367952	−	0.252452i	0.0433636	−	0.0297517i
$73$	−0.0150529	−	0.00623510i	−0.00176180	−	0.000729763i	0.381802	−	0.924244i	$-0.375304\pi$
$73$	−0.0150529	−	0.00623510i	−0.00176180	−	0.000729763i	−0.383564	+	0.923514i	$0.625304\pi$
$74$	8.90472	−	3.73126i	1.03515	−	0.433750i
$75$	5.89263	+	6.02767i	0.680422	+	0.696015i
$76$	8.13846	+	11.9667i	0.933545	+	1.37267i
$77$	1.18200	−	0.235114i	0.134701	−	0.0267938i
$78$	0.689207	+	3.39221i	0.0780374	+	0.384092i
$79$	6.28790	+	6.28790i	0.707444	+	0.707444i	0.965997	−	0.258553i	$-0.0832457\pi$
$79$	6.28790	+	6.28790i	0.707444	+	0.707444i	−0.258553	+	0.965997i	$0.583246\pi$
$80$	6.85280	−	5.74797i	0.766166	−	0.642642i
$81$	6.01169	−	6.01169i	0.667965	−	0.667965i
$82$	−10.7400	−	7.11281i	−1.18604	−	0.785479i
$83$	1.76457	+	8.87108i	0.193686	+	0.973727i	0.948256	+	0.317507i	$0.102846\pi$
$83$	1.76457	+	8.87108i	0.193686	+	0.973727i	−0.754570	+	0.656220i	$0.772154\pi$
$84$	−0.839747	−	0.551205i	−0.0916239	−	0.0601414i
$85$	−17.0784	−	1.77980i	−1.85241	−	0.193046i
$86$	10.4486	+	4.27788i	1.12670	+	0.461296i
$87$	5.14494	−	12.4210i	0.551595	−	1.33167i
$88$	11.4411	−	0.140585i	1.21963	−	0.0149864i
$89$	−1.54033	−	0.638027i	−0.163275	−	0.0676307i	0.299549	−	0.954081i	$-0.403164\pi$
$89$	−1.54033	−	0.638027i	−0.163275	−	0.0676307i	−0.462824	+	0.886450i	$0.653164\pi$
$90$	−0.317103	+	0.385158i	−0.0334256	+	0.0405992i
$91$	−0.359628	+	0.240296i	−0.0376993	+	0.0251899i
$92$	9.12367	−	9.27438i	0.951208	−	0.966921i
$93$	−6.25065	−	4.17655i	−0.648163	−	0.433088i
$94$	4.62161	−	3.11552i	0.476683	−	0.321341i
$95$	−12.4490	−	10.3352i	−1.27724	−	1.06037i
$96$	−6.88024	−	6.60407i	−0.702212	−	0.674025i
$97$	1.56230	+	1.56230i	0.158628	+	0.158628i	0.781958	−	0.623331i	$-0.214221\pi$
$97$	1.56230	+	1.56230i	0.158628	+	0.158628i	−0.623331	+	0.781958i	$0.714221\pi$
$98$	−1.86753	+	9.59391i	−0.188649	+	0.969131i
$99$	−0.625957	+	0.124511i	−0.0629110	+	0.0125138i
$100$	−5.58176	+	8.29723i	−0.558176	+	0.829723i
$101$	−4.79288	−	7.17305i	−0.476909	−	0.713745i	0.512534	−	0.858667i	$-0.328707\pi$
$101$	−4.79288	−	7.17305i	−0.476909	−	0.713745i	−0.989443	+	0.144922i	$0.953707\pi$
$102$	0.0749852	+	18.3083i	0.00742464	+	1.81279i
$103$	−3.42769	−	8.27517i	−0.337740	−	0.815377i	−0.997932	−	0.0642799i	$-0.979525\pi$
$103$	−3.42769	−	8.27517i	−0.337740	−	0.815377i	0.660192	−	0.751097i	$-0.270475\pi$
$104$	−3.77427	+	1.61797i	−0.370098	+	0.158655i
$105$	1.07283	+	0.332088i	0.104698	+	0.0324084i
$106$	2.04611	+	0.837725i	0.198736	+	0.0813670i
$107$	2.78551	−	1.86122i	0.269286	−	0.179931i	−0.413595	−	0.910461i	$-0.635727\pi$
$107$	2.78551	−	1.86122i	0.269286	−	0.179931i	0.682881	+	0.730530i	$0.260727\pi$
$108$	8.90107	+	5.84261i	0.856506	+	0.562206i
$109$	11.6645	+	7.79395i	1.11725	+	0.746525i	0.970128	−	0.242593i	$-0.0779979\pi$
$109$	11.6645	+	7.79395i	1.11725	+	0.746525i	0.147126	+	0.989118i	$0.452998\pi$
$110$	−12.2475	+	3.69427i	−1.16775	+	0.352235i
$111$	8.13853	+	8.13853i	0.772475	+	0.772475i
$112$	0.437925	−	1.10826i	0.0413801	−	0.104720i
$113$		−	4.55199i		−	0.428215i	−0.976810	−	0.214107i	$-0.931316\pi$
$113$		−	4.55199i		−	0.428215i	0.976810	−	0.214107i	$-0.0686843\pi$
$114$	−9.52590	+	14.3837i	−0.892182	+	1.34716i
$115$	−6.92921	+	12.7889i	−0.646153	+	1.19257i
$116$	15.6678	+	2.98331i	1.45472	+	0.276993i
$117$	0.190450	−	0.127255i	0.0176071	−	0.0117647i
$118$	0.788030	−	1.92473i	0.0725440	−	0.177186i
$119$	−2.11353	+	0.875452i	−0.193747	+	0.0802526i
$120$	9.43659	+	4.96389i	0.861438	+	0.453139i
$121$	−4.95654	−	2.05307i	−0.450594	−	0.186642i
$122$	−2.88896	−	2.86539i	−0.261554	−	0.259421i
$123$	2.99590	−	15.0614i	0.270131	−	1.35804i
$124$	3.34526	−	8.26706i	0.300413	−	0.742404i
$125$	3.42681	−	10.6422i	0.306503	−	0.951870i
$126$	−0.0127002	+	0.0652437i	−0.00113143	+	0.00581237i
$127$	−7.78104	−	7.78104i	−0.690456	−	0.690456i	0.271876	−	0.962332i	$-0.412356\pi$
$127$	−7.78104	−	7.78104i	−0.690456	−	0.690456i	−0.962332	+	0.271876i	$0.912356\pi$
$128$	6.01332	−	9.58332i	0.531507	−	0.847054i
$129$			13.4593i			1.18503i
$130$	3.55357	−	2.90702i	0.311669	−	0.254963i
$131$	−18.3465	+	3.64934i	−1.60294	+	0.318844i	−0.913919	−	0.405897i	$-0.866959\pi$
$131$	−18.3465	+	3.64934i	−1.60294	+	0.318844i	−0.689020	+	0.724742i	$0.741959\pi$
$132$	5.32288	+	12.5586i	0.463297	+	1.09309i
$133$	−2.11425	−	0.420550i	−0.183329	−	0.0364663i
$134$	−0.0118719	−	2.89864i	−0.00102558	−	0.250404i
$135$	−11.3717	−	3.52003i	−0.978721	−	0.302956i
$136$	−21.2486	+	4.49870i	−1.82205	+	0.385760i
$137$	−3.40400	+	8.21799i	−0.290823	+	0.702110i	−0.999996	−	0.00292529i	$-0.999069\pi$
$137$	−3.40400	+	8.21799i	−0.290823	+	0.702110i	0.709172	+	0.705035i	$0.249069\pi$
$138$	14.3527	+	5.87634i	1.22178	+	0.500227i
$139$	−6.18173	−	1.22962i	−0.524328	−	0.104295i	−0.0741722	−	0.997245i	$-0.523631\pi$
$139$	−6.18173	−	1.22962i	−0.524328	−	0.104295i	−0.450155	+	0.892950i	$0.648631\pi$
$140$	−0.127237	+	1.32621i	−0.0107535	+	0.112085i
$141$	5.52461	+	3.69143i	0.465256	+	0.310874i
$142$	2.62163	+	12.9034i	0.220002	+	1.08283i
$143$	5.87325			0.491146
$144$	−0.231914	+	0.586905i	−0.0193262	+	0.0489088i
$145$	−17.7556	+	1.64728i	−1.47452	+	0.136799i
$146$	0.0225806	−	0.00458778i	0.00186878	−	0.000379687i
$147$	−11.4277	+	2.27312i	−0.942544	+	0.187484i
$148$	−7.49252	+	11.4147i	−0.615882	+	0.938280i
$149$	5.67220	+	1.12827i	0.464684	+	0.0924315i	0.421879	−	0.906652i	$-0.361371\pi$
$149$	5.67220	+	1.12827i	0.464684	+	0.0924315i	0.0428050	+	0.999083i	$0.486371\pi$
$150$	−11.6749	−	2.41019i	−0.953250	−	0.196791i
$151$	−1.56916	+	0.649969i	−0.127697	+	0.0528937i	−0.445617	−	0.895224i	$-0.647016\pi$
$151$	−1.56916	+	0.649969i	−0.127697	+	0.0528937i	0.317920	+	0.948118i	$0.397016\pi$
$152$	−19.0033	−	7.59923i	−1.54137	−	0.616379i
$153$	1.11927	−	0.463618i	0.0904878	−	0.0374813i
$154$	−1.20021	+	1.21008i	−0.0967157	+	0.0975111i
$155$	−1.03351	+	9.91719i	−0.0830133	+	0.796568i
$156$	−3.48975	−	3.43305i	−0.279404	−	0.274864i
$157$	4.14402	−	6.20196i	0.330728	−	0.494970i	−0.628420	−	0.777874i	$-0.716298\pi$
$157$	4.14402	−	6.20196i	0.330728	−	0.494970i	0.959148	+	0.282904i	$0.0912979\pi$
$158$	−12.3441	−	2.40288i	−0.982044	−	0.191163i
$159$			2.63570i			0.209025i
$160$	−3.49213	+	12.1575i	−0.276077	+	0.961136i
$161$			1.93788i			0.152727i
$162$	−2.29733	+	11.8019i	−0.180495	+	0.927242i
$163$	1.21577	−	1.81952i	0.0952261	−	0.142516i	−0.780797	−	0.624784i	$-0.785187\pi$
$163$	1.21577	−	1.81952i	0.0952261	−	0.142516i	0.876024	+	0.482268i	$0.160187\pi$
$164$	18.2170	−	0.149225i	1.42251	−	0.0116525i
$165$	−9.60762	−	11.8431i	−0.747952	−	0.921982i
$166$	−9.08184	−	9.00775i	−0.704888	−	0.699137i
$167$	3.17982	−	1.31712i	0.246062	−	0.101922i	−0.256244	−	0.966612i	$-0.582485\pi$
$167$	3.17982	−	1.31712i	0.246062	−	0.101922i	0.502306	+	0.864690i	$0.332485\pi$
$168$	1.42046	−	0.0174541i	0.109591	−	0.00134661i
$169$	10.0630	−	4.16824i	0.774078	−	0.320634i
$170$	21.4338	−	11.4134i	1.64390	−	0.875370i
$171$	1.11965	+	0.222713i	0.0856220	+	0.0170313i
$172$	−15.6342	+	3.24318i	−1.19209	+	0.247290i
$173$	−6.67674	+	1.32809i	−0.507623	+	0.100972i	−0.442256	−	0.896889i	$-0.645822\pi$
$173$	−6.67674	+	1.32809i	−0.507623	+	0.100972i	−0.0653668	+	0.997861i	$0.520822\pi$
$174$	3.78564	+	18.6325i	0.286988	+	1.41253i
$175$	−0.274029	−	1.46413i	−0.0207147	−	0.110678i
$176$	−13.3053	+	9.20912i	−1.00292	+	0.694164i
$177$	2.47935			0.186359
$178$	2.31063	−	0.469459i	0.173189	−	0.0351875i
$179$	0.289275	+	0.193287i	0.0216214	+	0.0144470i	0.566334	−	0.824176i	$-0.308361\pi$
$179$	0.289275	+	0.193287i	0.0216214	+	0.0144470i	−0.544713	+	0.838623i	$0.683361\pi$
$180$	0.0673814	−	0.702326i	0.00502232	−	0.0523483i
$181$	13.6806	+	2.72124i	1.01687	+	0.202268i	0.675264	−	0.737576i	$-0.264030\pi$
$181$	13.6806	+	2.72124i	1.01687	+	0.202268i	0.341605	+	0.939844i	$0.389030\pi$
$182$	0.231762	−	0.566071i	0.0171794	−	0.0419599i
$183$	1.85626	−	4.48142i	0.137219	−	0.331276i
$184$	−3.36742	+	18.0879i	−0.248249	+	1.33346i
$185$	4.51406	−	14.5830i	0.331880	−	1.07216i
$186$	10.6314	−	0.0435430i	0.779532	−	0.00319273i
$187$	30.4675	+	6.06037i	2.22801	+	0.443178i
$188$	−2.95669	+	7.30681i	−0.215639	+	0.532904i
$189$	−1.55550	+	0.309408i	−0.113146	+	0.0225061i
$190$	22.7684	+	2.27855i	1.65179	+	0.165304i
$191$			8.00630i			0.579316i	0.957130	+	0.289658i	$0.0935415\pi$
$191$			8.00630i			0.579316i	−0.957130	+	0.289658i	$0.906458\pi$
$192$	13.2886	+	2.30538i	0.959026	+	0.166377i
$193$	18.0731	+	18.0731i	1.30093	+	1.30093i	0.927765	+	0.373165i	$0.121727\pi$
$193$	18.0731	+	18.0731i	1.30093	+	1.30093i	0.373165	+	0.927765i	$0.378273\pi$
$194$	−3.06703	−	0.597023i	−0.220200	−	0.0428637i
$195$	4.81219	+	2.60732i	0.344608	+	0.186714i
$196$	−5.39407	−	12.7266i	−0.385291	−	0.909040i
$197$	1.86018	−	9.35173i	0.132532	−	0.666283i	−0.856207	−	0.516633i	$-0.827185\pi$
$197$	1.86018	−	9.35173i	0.132532	−	0.666283i	0.988739	−	0.149650i	$-0.0478148\pi$
$198$	0.635601	−	0.640829i	0.0451702	−	0.0455417i
$199$	−14.1726	−	5.87048i	−1.00467	−	0.416148i	−0.181162	−	0.983453i	$-0.557986\pi$
$199$	−14.1726	−	5.87048i	−1.00467	−	0.416148i	−0.823507	+	0.567306i	$0.807986\pi$
$200$	−0.0135572	−	14.1421i	−0.000958639	−	1.00000i
$201$	3.19248	−	1.32237i	0.225180	−	0.0932727i
$202$	11.2907	+	4.62267i	0.794410	+	0.325250i
$203$	−1.97535	+	1.31988i	−0.138642	+	0.0926377i
$204$	−14.5607	−	21.4099i	−1.01945	−	1.49899i
$205$	−19.5240	+	5.80200i	−1.36362	+	0.405229i
$206$	10.5610	+	6.99426i	0.735822	+	0.487313i
$207$		−	1.02625i		−	0.0713296i
$208$	3.14688	−	4.88088i	0.218197	−	0.338428i
$209$	20.6984	+	20.6984i	1.43174	+	1.43174i
$210$	−1.52057	+	0.458657i	−0.104929	+	0.0316504i
$211$	3.46279	+	2.31376i	0.238388	+	0.159286i	0.669026	−	0.743239i	$-0.266711\pi$
$211$	3.46279	+	2.31376i	0.238388	+	0.159286i	−0.430638	+	0.902525i	$0.641711\pi$
$212$	−3.06159	+	0.635102i	−0.210271	+	0.0436190i
$213$	−13.0511	+	8.72050i	−0.894250	+	0.597519i
$214$	−1.79512	+	4.38452i	−0.122712	+	0.299719i
$215$	15.7912	−	8.32590i	1.07695	−	0.567822i
$216$	−15.0564	+	0.185008i	−1.02446	+	0.0125882i
$217$	0.508364	+	1.22730i	0.0345100	+	0.0833145i
$218$	−19.8395	+	0.0812564i	−1.34370	+	0.00550338i
$219$	0.0152606	+	0.0228391i	0.00103122	+	0.00154333i
$220$	11.4417	−	14.0138i	0.771398	−	0.944810i
$221$	−10.9346	+	2.17502i	−0.735539	+	0.146308i
$222$	−15.9772	−	3.11008i	−1.07232	−	0.208735i
$223$	4.91912	+	4.91912i	0.329409	+	0.329409i	0.852362	−	0.522953i	$-0.175170\pi$
$223$	4.91912	+	4.91912i	0.329409	+	0.329409i	−0.522953	+	0.852362i	$0.675170\pi$
$224$	0.362550	+	1.64578i	0.0242239	+	0.109963i
$225$	0.145119	+	0.775367i	0.00967460	+	0.0516911i
$226$	3.59836	+	5.33788i	0.239360	+	0.355070i
$227$	−11.5683	−	7.72969i	−0.767815	−	0.513038i	0.108897	−	0.994053i	$-0.465268\pi$
$227$	−11.5683	−	7.72969i	−0.767815	−	0.513038i	−0.876712	+	0.481015i	$0.840268\pi$
$228$	−0.199851	−	24.3973i	−0.0132355	−	1.61575i
$229$	18.0053	−	12.0308i	1.18983	−	0.795017i	0.206783	−	0.978387i	$-0.433701\pi$
$229$	18.0053	−	12.0308i	1.18983	−	0.795017i	0.983044	+	0.183370i	$0.0587007\pi$
$230$	−1.98413	−	20.4744i	−0.130830	−	1.35004i
$231$	−1.87710	−	0.777522i	−0.123504	−	0.0511572i
$232$	−20.7311	+	8.88707i	−1.36106	+	0.583464i
$233$	−10.2431	+	24.7291i	−0.671050	+	1.62006i	0.108779	+	0.994066i	$0.465306\pi$
$233$	−10.2431	+	24.7291i	−0.671050	+	1.62006i	−0.779829	+	0.625992i	$0.784694\pi$
$234$	−0.122736	+	0.299777i	−0.00802347	+	0.0195970i
$235$	0.913462	−	8.76527i	0.0595877	−	0.571783i
$236$	0.597427	+	2.87997i	0.0388892	+	0.187470i
$237$	−2.92473	−	14.7036i	−0.189982	−	0.955103i
$238$	1.78638	−	2.69735i	0.115794	−	0.174843i
$239$	−17.1364	+	17.1364i	−1.10846	+	1.10846i	−0.115111	+	0.993353i	$0.536722\pi$
$239$	−17.1364	+	17.1364i	−1.10846	+	1.10846i	−0.993353	+	0.115111i	$0.963278\pi$
$240$	−14.9898	+	1.63877i	−0.967585	+	0.105782i
$241$	−17.6998	−	17.6998i	−1.14015	−	1.14015i	−0.988423	−	0.151722i	$-0.951518\pi$
$241$	−17.6998	−	17.6998i	−1.14015	−	1.14015i	−0.151722	−	0.988423i	$-0.548482\pi$
$242$	7.43523	−	1.51064i	0.477955	−	0.0971078i
$243$	1.60635	−	0.319523i	0.103047	−	0.0204974i
$244$	5.65284	+	1.07636i	0.361886	+	0.0689069i
$245$	9.73611	+	12.0015i	0.622017	+	0.766745i
$246$	8.39296	+	20.0300i	0.535116	+	1.27706i
$247$	−9.70583	−	4.02029i	−0.617567	−	0.255805i
$248$	2.61234	+	12.3388i	0.165884	+	0.783514i
$249$	5.83542	−	14.0879i	0.369805	−	0.892787i
$250$	4.39429	+	15.1885i	0.277919	+	0.960604i
$251$	1.97794	+	2.96020i	0.124847	+	0.186846i	0.888628	−	0.458629i	$-0.151659\pi$
$251$	1.97794	+	2.96020i	0.124847	+	0.186846i	−0.763781	+	0.645475i	$0.776659\pi$
$252$	−0.0366826	−	0.0865475i	−0.00231078	−	0.00545198i
$253$	14.6197	−	21.8799i	0.919130	−	1.37558i
$254$	15.2754	+	2.97347i	0.958462	+	0.186572i
$255$	22.2729	+	18.4910i	1.39478	+	1.15795i
$256$	0.524152	+	15.9914i	0.0327595	+	0.999463i
$257$	5.17723	−	5.17723i	0.322947	−	0.322947i	−0.526950	−	0.849896i	$-0.676664\pi$
$257$	5.17723	−	5.17723i	0.322947	−	0.322947i	0.849896	+	0.526950i	$0.176664\pi$
$258$	−10.6397	−	15.7831i	−0.662396	−	0.982610i
$259$	−0.396783	−	1.99476i	−0.0246549	−	0.123948i
$260$	−1.86907	+	6.21803i	−0.115915	+	0.385626i
$261$	1.04609	−	0.698977i	0.0647516	−	0.0432656i
$262$	18.6291	−	18.7824i	1.15091	−	1.16038i
$263$	−8.28169	+	3.43039i	−0.510671	+	0.211527i	−0.623114	−	0.782131i	$-0.714133\pi$
$263$	−8.28169	+	3.43039i	−0.510671	+	0.211527i	0.112443	+	0.993658i	$0.464133\pi$
$264$	−16.1695	−	10.5191i	−0.995164	−	0.647404i
$265$	3.09234	−	1.63044i	0.189961	−	0.100157i
$266$	2.81172	−	1.17817i	0.172397	−	0.0722380i
$267$	1.56159	+	2.33709i	0.0955680	+	0.143028i
$268$	2.30531	+	3.38970i	0.140819	+	0.207059i
$269$	11.8223	−	17.6933i	0.720816	−	1.07878i	−0.272365	−	0.962194i	$-0.587806\pi$
$269$	11.8223	−	17.6933i	0.720816	−	1.07878i	0.993181	−	0.116583i	$-0.0371941\pi$
$270$	16.1176	−	4.86163i	0.980887	−	0.295869i
$271$	−5.55038	+	5.55038i	−0.337161	+	0.337161i	−0.855298	−	0.518136i	$-0.826626\pi$
$271$	−5.55038	+	5.55038i	−0.337161	+	0.337161i	0.518136	+	0.855298i	$0.326626\pi$
$272$	21.3609	−	22.0725i	1.29519	−	1.33834i
$273$	0.729185			0.0441323
$274$	−2.50466	−	12.3277i	−0.151312	−	0.744743i
$275$	−7.95165	+	18.5982i	−0.479503	+	1.12152i
$276$	−21.4760	+	4.45501i	−1.29270	+	0.268160i
$277$	−10.7698	−	16.1181i	−0.647093	−	0.968443i	−0.999469	−	0.0325845i	$-0.989626\pi$
$277$	−10.7698	−	16.1181i	−0.647093	−	0.968443i	0.352376	−	0.935858i	$-0.385374\pi$
$278$	8.22102	−	3.44477i	0.493064	−	0.206604i
$279$	−0.269217	−	0.649947i	−0.0161176	−	0.0389113i
$280$	−0.899169	−	1.65576i	−0.0537356	−	0.0989504i
$281$	0.130825	−	0.315839i	0.00780435	−	0.0188414i	−0.919929	−	0.392084i	$-0.871754\pi$
$281$	0.130825	−	0.315839i	0.00780435	−	0.0188414i	0.927734	+	0.373243i	$0.121754\pi$
$282$	−9.39652	+	0.0384853i	−0.559554	+	0.00229177i
$283$	9.48241	+	1.88617i	0.563671	+	0.112121i	0.468698	−	0.883359i	$-0.344723\pi$
$283$	9.48241	+	1.88617i	0.563671	+	0.112121i	0.0949733	+	0.995480i	$0.469723\pi$
$284$	−13.2744	−	13.0587i	−0.787693	−	0.774893i
$285$	7.77037	+	26.1477i	0.460277	+	1.54886i
$286$	−6.88725	+	4.64283i	−0.407252	+	0.274536i
$287$	−1.91881	+	1.91881i	−0.113264	+	0.113264i
$288$	−0.191997	−	0.871562i	−0.0113136	−	0.0513573i
$289$	−41.9676			−2.46868
$290$	19.5188	−	15.9675i	1.14619	−	0.937646i
$291$	−0.726683	−	3.65328i	−0.0425989	−	0.214159i
$292$	−0.0228524	+	0.0232299i	−0.00133734	+	0.00135943i
$293$	1.06427	−	5.35047i	0.0621756	−	0.312578i	−0.937165	−	0.348886i	$-0.886560\pi$
$293$	1.06427	−	5.35047i	0.0621756	−	0.312578i	0.999341	+	0.0363085i	$0.0115599\pi$
$294$	11.6038	−	11.6992i	0.676748	−	0.682314i
$295$	−1.53372	−	2.90889i	−0.0892964	−	0.169362i
$296$	−0.237253	−	19.3083i	−0.0137900	−	1.12227i
$297$	19.8967	+	8.24150i	1.15453	+	0.478221i
$298$	−7.54339	+	3.16083i	−0.436977	+	0.183102i
$299$	−1.84246	+	9.26268i	−0.106552	+	0.535675i
$300$	15.5958	−	6.40274i	0.900423	−	0.369662i
$301$	1.32135	−	1.97754i	0.0761615	−	0.113984i
$302$	1.32627	−	2.00262i	0.0763185	−	0.115238i
$303$			14.5441i			0.835538i
$304$	28.2914	−	6.11095i	1.62262	−	0.350487i
$305$	−6.40611	+	0.594329i	−0.366813	+	0.0340312i
$306$	−0.946020	+	1.42845i	−0.0540804	+	0.0816590i
$307$	−3.76180	−	18.9118i	−0.214697	−	1.07936i	−0.926304	−	0.376777i	$-0.877032\pi$
$307$	−3.76180	−	18.9118i	−0.214697	−	1.07936i	0.711607	−	0.702578i	$-0.247968\pi$
$308$	0.450849	−	2.36777i	0.0256895	−	0.134916i
$309$	−2.94596	+	14.8104i	−0.167590	+	0.842532i
$310$	−6.62764	−	12.4464i	−0.376425	−	0.706906i
$311$	7.25888	+	17.5245i	0.411613	+	0.993722i	0.984705	+	0.174231i	$0.0557440\pi$
$311$	7.25888	+	17.5245i	0.411613	+	0.993722i	−0.573091	+	0.819491i	$0.694256\pi$
$312$	6.80609	+	1.26709i	0.385319	+	0.0717347i
$313$	−4.03909	−	9.75124i	−0.228303	−	0.551173i	0.767668	−	0.640848i	$-0.221417\pi$
$313$	−4.03909	−	9.75124i	−0.228303	−	0.551173i	−0.995971	+	0.0896753i	$0.971417\pi$
$314$	0.0432037	+	10.5486i	0.00243813	+	0.595290i
$315$	0.0662108	+	0.0816164i	0.00373055	+	0.00459856i
$316$	16.3748	−	6.94034i	0.921153	−	0.390424i
$317$	17.6952	+	11.8236i	0.993863	+	0.664078i	0.942362	−	0.334595i	$-0.108600\pi$
$317$	17.6952	+	11.8236i	0.993863	+	0.664078i	0.0515008	+	0.998673i	$0.483600\pi$
$318$	−2.08353	−	3.09075i	−0.116839	−	0.173321i
$319$	32.2602			1.80623
$320$	−5.51553	−	17.0170i	−0.308327	−	0.951280i
$321$	−5.64792			−0.315236
$322$	−1.53191	−	2.27245i	−0.0853697	−	0.126639i
$323$	−46.2007	−	30.8703i	−2.57068	−	1.71767i
$324$	−6.63547	−	15.6555i	−0.368637	−	0.869748i
$325$	0.0822337	−	7.25878i	0.00456151	−	0.402645i
$326$	0.0126751	+	3.09473i	0.000702007	+	0.171401i
$327$	−9.05083	−	21.8506i	−0.500512	−	1.20834i
$328$	−21.2442	+	14.5756i	−1.17301	+	0.804803i
$329$	−0.449316	−	1.08474i	−0.0247716	−	0.0598039i
$330$	20.6283	+	6.29289i	1.13555	+	0.346412i
$331$	−1.77534	+	8.92522i	−0.0975814	+	0.490575i	0.900827	+	0.434178i	$0.142961\pi$
$331$	−1.77534	+	8.92522i	−0.0975814	+	0.490575i	−0.998408	+	0.0563966i	$0.982039\pi$
$332$	17.7705	+	3.38369i	0.975281	+	0.185704i
$333$	0.210126	+	1.05638i	0.0115148	+	0.0578890i
$334$	−2.68762	+	4.05818i	−0.147060	+	0.222054i
$335$	−3.52633	−	2.92757i	−0.192664	−	0.159950i
$336$	−1.65190	+	1.14335i	−0.0901185	+	0.0623746i
$337$		−	4.34402i		−	0.236634i	−0.992976	−	0.118317i	$-0.962250\pi$
$337$		−	4.34402i		−	0.236634i	0.992976	−	0.118317i	$-0.0377499\pi$
$338$	−8.50537	+	12.8427i	−0.462631	+	0.698553i
$339$	−4.26353	+	6.38083i	−0.231563	+	0.346559i
$340$	−16.1120	+	30.3275i	−0.873794	+	1.64474i
$341$	3.51918	−	17.6921i	0.190574	−	0.958082i
$342$	−1.48901	+	0.623927i	−0.0805166	+	0.0337381i
$343$	3.82884	+	1.58596i	0.206738	+	0.0856338i
$344$	15.7696	−	16.1620i	0.850241	−	0.871396i
$345$	21.6916	−	11.4369i	1.16784	−	0.615743i
$346$	6.77960	−	6.83537i	0.364474	−	0.367472i
$347$	−2.72627	+	13.7059i	−0.146354	+	0.735771i	0.835998	+	0.548732i	$0.184889\pi$
$347$	−2.72627	+	13.7059i	−0.146354	+	0.735771i	−0.982352	+	0.187039i	$0.940111\pi$
$348$	−19.1683	−	18.8568i	−1.02753	−	1.01083i
$349$	2.33447	+	11.7362i	0.124961	+	0.628223i	0.991606	+	0.129297i	$0.0412720\pi$
$349$	2.33447	+	11.7362i	0.124961	+	0.628223i	−0.866645	+	0.498926i	$0.833728\pi$
$350$	1.47874	+	1.50029i	0.0790421	+	0.0801938i
$351$	−7.72914			−0.412551
$352$	8.32257	−	21.3169i	0.443594	−	1.13620i
$353$	−2.01974	+	2.01974i	−0.107500	+	0.107500i	−0.758811	−	0.651311i	$-0.774219\pi$
$353$	−2.01974	+	2.01974i	−0.107500	+	0.107500i	0.651311	+	0.758811i	$0.274219\pi$
$354$	−2.90740	+	1.95993i	−0.154527	+	0.104169i
$355$	18.3047	+	9.91779i	0.971514	+	0.526382i
$356$	−2.33845	+	2.37707i	−0.123937	+	0.125985i
$357$	3.78265	+	0.752417i	0.200199	+	0.0398221i
$358$	−0.492012	+	0.00201513i	−0.0260036	+	0.000106503i
$359$	8.50191	−	20.5254i	0.448714	−	1.08329i	−0.524091	−	0.851663i	$-0.675595\pi$
$359$	8.50191	−	20.5254i	0.448714	−	1.08329i	0.972804	−	0.231628i	$-0.0744053\pi$
$360$	0.476177	+	0.876847i	0.0250967	+	0.0462139i
$361$	−12.7660	−	30.8197i	−0.671892	−	1.62209i
$362$	−18.1936	+	7.62350i	−0.956237	+	0.400682i
$363$	5.02495	+	7.52037i	0.263742	+	0.394717i
$364$	0.175705	+	0.847011i	0.00920947	+	0.0443954i
$365$	0.0173559	−	0.0320328i	0.000908447	−	0.00167667i
$366$	1.36584	+	6.72251i	0.0713934	+	0.351391i
$367$	−11.2130			−0.585314			−0.292657	−	0.956218i	$-0.594539\pi$
$367$	−11.2130			−0.585314			−0.292657	+	0.956218i	$0.594539\pi$
$368$	−10.3498	−	23.8727i	−0.539518	−	1.24445i
$369$	1.01615	−	1.01615i	0.0528989	−	0.0528989i
$370$	6.23452	+	20.6691i	0.324117	+	1.07454i
$371$	0.258756	−	0.387256i	0.0134340	−	0.0201054i
$372$	−12.4325	+	8.45523i	−0.644593	+	0.438383i
$373$	13.4114	+	20.0716i	0.694418	+	1.03927i	0.996302	+	0.0859253i	$0.0273846\pi$
$373$	13.4114	+	20.0716i	0.694418	+	1.03927i	−0.301883	+	0.953345i	$0.597615\pi$
$374$	−40.5185	+	16.9780i	−2.09516	+	0.877914i
$375$	−14.7714	+	11.7083i	−0.762794	+	0.604613i
$376$	−2.30890	−	10.9056i	−0.119073	−	0.562413i
$377$	−10.6966	+	4.43069i	−0.550905	+	0.228192i
$378$	1.57947	−	1.59246i	0.0812389	−	0.0819071i
$379$	4.49524	−	3.00362i	0.230905	−	0.154286i	−0.434736	−	0.900558i	$-0.643158\pi$
$379$	4.49524	−	3.00362i	0.230905	−	0.154286i	0.665641	+	0.746272i	$0.268158\pi$
$380$	−28.5005	+	15.3266i	−1.46204	+	0.786236i
$381$	3.61925	+	18.1952i	0.185420	+	0.932168i
$382$	−6.32902	−	9.38857i	−0.323821	−	0.480361i
$383$	16.9948	−	16.9948i	0.868392	−	0.868392i	−0.123903	−	0.992294i	$-0.539541\pi$
$383$	16.9948	−	16.9948i	0.868392	−	0.868392i	0.992294	+	0.123903i	$0.0395411\pi$
$384$	−17.4053	+	7.80133i	−0.888212	+	0.398110i
$385$	0.248943	+	2.68329i	0.0126873	+	0.136753i
$386$	−35.4802	−	6.90652i	−1.80590	−	0.351532i
$387$	−0.699755	+	1.04726i	−0.0355706	+	0.0532351i
$388$	4.06850	−	1.72441i	0.206547	−	0.0875435i
$389$	−4.30759	−	6.44677i	−0.218404	−	0.326864i	0.706048	−	0.708164i	$-0.250476\pi$
$389$	−4.30759	−	6.44677i	−0.218404	−	0.326864i	−0.924451	+	0.381300i	$0.875476\pi$
$390$	−7.70410	+	0.746588i	−0.390112	+	0.0378049i
$391$	−19.1156	+	46.1491i	−0.966717	+	2.33386i
$392$	16.3857	+	10.6597i	0.827605	+	0.538398i
$393$	29.1356	+	12.0684i	1.46970	+	0.608768i
$394$	5.21126	+	12.4368i	0.262539	+	0.626555i
$395$	−15.4418	+	12.5271i	−0.776962	+	0.630305i
$396$	−0.238758	+	1.25391i	−0.0119980	+	0.0630114i
$397$	12.8441	−	2.55486i	0.644628	−	0.128225i	0.138059	−	0.990424i	$-0.455914\pi$
$397$	12.8441	−	2.55486i	0.644628	−	0.128225i	0.506569	+	0.862199i	$0.330914\pi$
$398$	21.2601	−	4.31949i	1.06567	−	0.216517i
$399$	2.56979	+	2.56979i	0.128650	+	0.128650i
$400$	11.1953	+	16.5730i	0.559766	+	0.828651i
$401$	14.9373	−	14.9373i	0.745932	−	0.745932i	−0.227781	−	0.973712i	$-0.573147\pi$
$401$	14.9373	−	14.9373i	0.745932	−	0.745932i	0.973712	+	0.227781i	$0.0731470\pi$
$402$	−2.69832	+	4.07434i	−0.134580	+	0.203210i
$403$	1.26301	+	6.34957i	0.0629149	+	0.316295i
$404$	−16.8942	+	3.50457i	−0.840520	+	0.174359i
$405$	11.9768	+	14.7635i	0.595131	+	0.733604i
$406$	1.27301	−	3.10928i	0.0631785	−	0.154311i
$407$	−10.5688	+	25.5154i	−0.523878	+	1.26475i
$408$	33.9992	+	13.5960i	1.68321	+	0.673101i
$409$	−15.6581	−	6.48580i	−0.774244	−	0.320702i	−0.0396537	−	0.999213i	$-0.512625\pi$
$409$	−15.6581	−	6.48580i	−0.774244	−	0.320702i	−0.734590	+	0.678511i	$0.762625\pi$
$410$	18.3083	−	22.2375i	0.904184	−	1.09823i
$411$	12.4688	−	8.33142i	0.615043	−	0.410959i
$412$	−17.9134	+	0.146738i	−0.882528	+	0.00722926i
$413$	−0.364284	−	0.243407i	−0.0179252	−	0.0119773i
$414$	0.811258	+	1.20343i	0.0398712	+	0.0591456i
$415$	−20.1385	+	1.86835i	−0.988558	+	0.0917139i
$416$	0.168175	+	8.21118i	0.00824546	+	0.402586i
$417$	7.51365	+	7.51365i	0.367945	+	0.367945i
$418$	−40.6342	−	7.90978i	−1.98748	−	0.386880i
$419$	−25.7268	+	5.11737i	−1.25683	+	0.250000i	−0.778201	−	0.628015i	$-0.783868\pi$
$419$	−25.7268	+	5.11737i	−1.25683	+	0.250000i	−0.478634	+	0.878015i	$0.658868\pi$
$420$	1.42053	−	1.73986i	0.0693145	−	0.0848966i
$421$	8.78956	+	13.1545i	0.428377	+	0.641111i	0.981382	−	0.192067i	$-0.0615189\pi$
$421$	8.78956	+	13.1545i	0.428377	+	0.641111i	−0.553005	+	0.833178i	$0.686519\pi$
$422$	−5.88967	+	0.0241223i	−0.286705	+	0.00117426i
$423$	0.237946	+	0.574453i	0.0115693	+	0.0279309i
$424$	3.08812	−	3.16495i	0.149972	−	0.153704i
$425$	7.91663	−	37.5702i	0.384013	−	1.82242i
$426$	8.41081	−	20.5431i	0.407505	−	0.995315i
$427$	−0.712694	+	0.476207i	−0.0344897	+	0.0230453i
$428$	−1.36093	−	6.56055i	−0.0657832	−	0.317116i
$429$	−8.23294	−	5.50107i	−0.397490	−	0.265594i
$430$	−11.9358	+	22.2463i	−0.575596	+	1.07281i
$431$	4.94552	+	4.94552i	0.238217	+	0.238217i	0.816112	−	0.577894i	$-0.196125\pi$
$431$	4.94552	+	4.94552i	0.238217	+	0.238217i	−0.577894	+	0.816112i	$0.696125\pi$
$432$	17.5096	−	12.1191i	0.842433	−	0.583082i
$433$			24.2788i			1.16676i	0.812198	+	0.583382i	$0.198271\pi$
$433$			24.2788i			1.16676i	−0.812198	+	0.583382i	$0.801729\pi$
$434$	−1.56632	−	1.03733i	−0.0751857	−	0.0497933i
$435$	26.4321	+	14.3213i	1.26732	+	0.686655i
$436$	23.2005	−	15.7785i	1.11110	−	0.755652i
$437$	−39.1367	+	26.1503i	−1.87216	+	1.25094i
$438$	−0.0359498	−	0.0147187i	−0.00171775	−	0.000703286i
$439$	−3.58283	+	1.48406i	−0.170999	+	0.0708302i	−0.466541	−	0.884500i	$-0.654500\pi$
$439$	−3.58283	+	1.48406i	−0.170999	+	0.0708302i	0.295542	+	0.955330i	$0.404500\pi$
$440$	−2.33909	+	25.4779i	−0.111512	+	1.21461i
$441$	−1.00736	−	0.417263i	−0.0479696	−	0.0198697i
$442$	11.1030	−	11.1944i	0.528118	−	0.532462i
$443$	−0.337555	+	1.69700i	−0.0160377	+	0.0806271i	−0.987975	−	0.154612i	$-0.950587\pi$
$443$	−0.337555	+	1.69700i	−0.0160377	+	0.0806271i	0.971938	+	0.235239i	$0.0755873\pi$
$444$	21.1941	−	8.98298i	1.00583	−	0.426314i
$445$	1.77600	−	3.27786i	0.0841903	−	0.155385i
$446$	−9.65698	−	1.87981i	−0.457271	−	0.0890115i
$447$	−6.89433	−	6.89433i	−0.326091	−	0.326091i
$448$	−1.72614	−	1.64332i	−0.0815524	−	0.0776396i
$449$			11.6261i			0.548672i	0.961634	+	0.274336i	$0.0884580\pi$
$449$			11.6261i			0.548672i	−0.961634	+	0.274336i	$0.911542\pi$
$450$	−0.783104	−	0.794515i	−0.0369159	−	0.0374538i
$451$	36.1403	−	7.18876i	1.70178	−	0.338505i
$452$	−8.43923	−	3.41493i	−0.396948	−	0.160625i
$453$	2.80839	+	0.558623i	0.131950	+	0.0262464i
$454$	19.6759	−	0.0805865i	0.923436	−	0.00378211i
$455$	−0.451072	−	0.855517i	−0.0211466	−	0.0401072i
$456$	19.5205	+	28.4514i	0.914131	+	1.33236i
$457$	10.3413	−	24.9662i	0.483747	−	1.16787i	−0.474069	−	0.880488i	$-0.657215\pi$
$457$	10.3413	−	24.9662i	0.483747	−	1.16787i	0.957816	−	0.287382i	$-0.0927848\pi$
$458$	−11.6035	+	28.3412i	−0.542198	+	1.32430i
$459$	−40.0950	−	7.97540i	−1.87148	−	0.372260i
$460$	18.5118	+	22.4408i	0.863118	+	1.04631i
$461$	5.09040	+	3.40129i	0.237083	+	0.158414i	0.668437	−	0.743769i	$-0.266964\pi$
$461$	5.09040	+	3.40129i	0.237083	+	0.158414i	−0.431353	+	0.902183i	$0.641964\pi$
$462$	2.81582	−	0.572100i	0.131004	−	0.0266165i
$463$	14.8421			0.689772			0.344886	−	0.938645i	$-0.387918\pi$
$463$	14.8421			0.689772			0.344886	+	0.938645i	$0.387918\pi$
$464$	17.2850	−	26.8094i	0.802436	−	1.24460i
$465$	10.7375	−	12.9336i	0.497939	−	0.599781i
$466$	−7.53688	−	37.0958i	−0.349139	−	1.71843i
$467$	18.5459	−	3.68900i	0.858200	−	0.170707i	0.253672	−	0.967290i	$-0.418362\pi$
$467$	18.5459	−	3.68900i	0.858200	−	0.170707i	0.604528	+	0.796584i	$0.293362\pi$
$468$	−0.0930492	−	0.448555i	−0.00430120	−	0.0207345i
$469$	−0.598885	−	0.119126i	−0.0276539	−	0.00550071i
$470$	5.85781	+	11.0007i	0.270201	+	0.507423i
$471$	−11.6179	+	4.81229i	−0.535325	+	0.221739i
$472$	−2.97720	−	2.90492i	−0.137037	−	0.133710i
$473$	−29.8377	+	12.3592i	−1.37194	+	0.568276i
$474$	15.0530	+	14.9302i	0.691405	+	0.685765i
$475$	25.8711	−	25.2915i	1.18705	−	1.16045i
$476$	0.0374777	+	4.57518i	0.00171779	+	0.209703i
$477$	−0.137031	+	0.205081i	−0.00627421	+	0.00939003i
$478$	6.54858	−	33.6414i	0.299525	−	1.53872i
$479$			28.5928i			1.30644i	0.757169	+	0.653219i	$0.226582\pi$
$479$			28.5928i			1.30644i	−0.757169	+	0.653219i	$0.773418\pi$
$480$	16.2823	−	13.7712i	0.743180	−	0.628565i
$481$		−	9.91179i		−	0.451939i
$482$	34.7474	+	6.76387i	1.58270	+	0.308086i
$483$	1.81508	−	2.71646i	0.0825891	−	0.123603i
$484$	−7.52474	+	7.64903i	−0.342034	+	0.347683i
$485$	−3.83669	+	3.11249i	−0.174215	+	0.141331i
$486$	−1.63110	+	1.64452i	−0.0739882	+	0.0745968i
$487$	27.7537	−	11.4960i	1.25764	−	0.520932i	0.348457	−	0.937325i	$-0.386706\pi$
$487$	27.7537	−	11.4960i	1.25764	−	0.520932i	0.909185	+	0.416393i	$0.136706\pi$
$488$	−7.47966	+	3.20640i	−0.338588	+	0.145147i
$489$	−3.40844	+	1.41182i	−0.154135	+	0.0638449i
$490$	−20.9042	−	6.37705i	−0.944357	−	0.288086i
$491$	26.5545	+	5.28201i	1.19839	+	0.238374i	0.753643	−	0.657284i	$-0.228295\pi$
$491$	26.5545	+	5.28201i	1.19839	+	0.238374i	0.444743	+	0.895658i	$0.353295\pi$
$492$	−25.6758	−	16.8534i	−1.15755	−	0.759812i
$493$	−60.0608	+	11.9468i	−2.70500	+	0.538058i
$494$	14.5596	−	2.95812i	0.655066	−	0.133092i
$495$	−0.131834	−	1.42100i	−0.00592550	−	0.0638693i
$496$	−12.8172	−	12.4040i	−0.575510	−	0.556956i
$497$	2.77370			0.124417
$498$	4.29369	+	21.1331i	0.192405	+	0.946998i
$499$	30.4556	+	20.3498i	1.36338	+	0.910981i	0.999788	−	0.0205770i	$-0.00655033\pi$
$499$	30.4556	+	20.3498i	1.36338	+	0.910981i	0.363592	+	0.931558i	$0.381550\pi$
$500$	−17.1595	−	14.3370i	−0.767397	−	0.641172i
$501$	−5.69103	−	1.13202i	−0.254257	−	0.0505748i
$502$	−4.65949	−	1.90770i	−0.207963	−	0.0851449i
$503$	16.3358	−	39.4381i	0.728376	−	1.75846i	0.0804431	−	0.996759i	$-0.474366\pi$
$503$	16.3358	−	39.4381i	0.728376	−	1.75846i	0.647933	−	0.761697i	$-0.275634\pi$
$504$	0.111432	+	0.0724920i	0.00496357	+	0.00322905i
$505$	17.0639	−	8.99695i	0.759334	−	0.400359i
$506$	0.152418	+	37.2143i	0.00677582	+	1.65438i
$507$	−18.0101	−	3.58244i	−0.799858	−	0.159102i
$508$	−20.2632	+	8.58841i	−0.899033	+	0.381049i
$509$	30.2316	−	6.01345i	1.33999	−	0.266541i	0.527522	−	0.849541i	$-0.323121\pi$
$509$	30.2316	−	6.01345i	1.33999	−	0.266541i	0.812472	+	0.583000i	$0.198121\pi$
$510$	−40.7355	−	4.07662i	−1.80380	−	0.180516i
$511$		−	0.00485389i		−	0.000214723i
$512$	−13.2559	−	18.3379i	−0.585835	−	0.810431i
$513$	−27.2390	−	27.2390i	−1.20263	−	1.20263i
$514$	−1.97844	+	10.1637i	−0.0872655	+	0.448301i
$515$	19.1986	−	5.70529i	0.845993	−	0.251405i
$516$	24.9532	+	10.0973i	1.09850	+	0.444507i
$517$	−3.11041	+	15.6371i	−0.136796	+	0.687719i
$518$	2.04215	+	2.02549i	0.0897271	+	0.0889951i
$519$	10.6032	+	4.39197i	0.465427	+	0.192786i
$520$	−2.72362	−	8.76907i	−0.119438	−	0.384549i
$521$	0.653529	−	0.270701i	0.0286316	−	0.0118596i	−0.368322	−	0.929698i	$-0.620067\pi$
$521$	0.653529	−	0.270701i	0.0286316	−	0.0118596i	0.396953	+	0.917839i	$0.370067\pi$
$522$	−0.674155	+	1.64660i	−0.0295069	+	0.0720695i
$523$	23.6294	−	15.7887i	1.03324	−	0.690390i	0.0813060	−	0.996689i	$-0.474091\pi$
$523$	23.6294	−	15.7887i	1.03324	−	0.690390i	0.951935	+	0.306299i	$0.0990909\pi$
$524$	−6.99788	+	36.7515i	−0.305704	+	1.60550i
$525$	−0.987226	+	2.30904i	−0.0430861	+	0.100775i
$526$	6.99977	−	10.5693i	0.305204	−	0.460846i
$527$			34.2417i			1.49159i
$528$	27.2765	−	0.446902i	1.18706	−	0.0194489i
$529$	13.6570	+	13.6570i	0.593781	+	0.593781i
$530$	−2.33735	+	4.35643i	−0.101528	+	0.189231i
$531$	0.192915	+	0.128902i	0.00837182	+	0.00559387i
$532$	−2.36581	+	3.60425i	−0.102571	+	0.156264i
$533$	−10.9959	+	7.34720i	−0.476284	+	0.318242i
$534$	−3.67868	−	1.50614i	−0.159192	−	0.0651769i
$535$	3.49379	+	6.62643i	0.151050	+	0.286486i
$536$	−5.38289	−	2.15257i	−0.232505	−	0.0929767i
$537$	−0.224457	−	0.541888i	−0.00968605	−	0.0233842i
$538$	0.123254	+	30.0935i	0.00531385	+	1.29742i
$539$	−15.5329	−	23.2466i	−0.669049	−	1.00130i
$540$	−15.0571	+	18.4420i	−0.647956	+	0.793618i
$541$	26.8859	−	5.34794i	1.15591	−	0.229926i	0.420338	−	0.907367i	$-0.361911\pi$
$541$	26.8859	−	5.34794i	1.15591	−	0.229926i	0.735576	+	0.677442i	$0.236911\pi$
$542$	2.12104	−	10.8962i	0.0911065	−	0.468033i
$543$	−16.6282	−	16.6282i	−0.713584	−	0.713584i
$544$	−7.60038	+	42.7691i	−0.325863	+	1.83371i
$545$	−20.0375	+	24.1356i	−0.858310	+	1.03386i
$546$	−0.855077	+	0.576424i	−0.0365939	+	0.0246687i
$547$	−20.4412	−	13.6584i	−0.874002	−	0.583989i	0.0356484	−	0.999364i	$-0.488650\pi$
$547$	−20.4412	−	13.6584i	−0.874002	−	0.583989i	−0.909650	+	0.415375i	$0.863650\pi$
$548$	12.6822	+	12.4761i	0.541755	+	0.532952i
$549$	0.377425	−	0.252187i	0.0161081	−	0.0107631i
$550$	−5.37750	−	28.0950i	−0.229297	−	1.19797i
$551$	−53.3116	−	22.0824i	−2.27115	−	0.940742i
$552$	21.6620	−	22.2010i	0.921997	−	0.944937i
$553$	−1.01379	+	2.44750i	−0.0431106	+	0.104078i
$554$	25.3706	+	10.3873i	1.07789	+	0.441314i
$555$	−19.9866	+	16.2140i	−0.848383	+	0.688245i
$556$	−6.91725	+	10.5383i	−0.293357	+	0.446921i
$557$	3.71349	+	18.6690i	0.157346	+	0.791030i	0.976174	+	0.216991i	$0.0696242\pi$
$557$	3.71349	+	18.6690i	0.157346	+	0.791030i	−0.818828	+	0.574039i	$0.805376\pi$
$558$	0.829483	+	0.549342i	0.0351148	+	0.0232555i
$559$	8.19597	−	8.19597i	0.346652	−	0.346652i
$560$	2.36329	+	1.23082i	0.0998673	+	0.0520117i
$561$	−37.0321	−	37.0321i	−1.56350	−	1.56350i
$562$	0.0962607	+	0.473785i	0.00406051	+	0.0199854i
$563$	−22.2790	+	4.43158i	−0.938950	+	0.186769i	−0.640763	−	0.767739i	$-0.721382\pi$
$563$	−22.2790	+	4.43158i	−0.938950	+	0.186769i	−0.298187	+	0.954507i	$0.596382\pi$
$564$	10.9884	−	7.47312i	0.462694	−	0.314675i
$565$	10.1237	+	1.05503i	0.425908	+	0.0443855i
$566$	−12.6106	+	5.28408i	−0.530061	+	0.222106i
$567$	2.33998	+	0.969254i	0.0982701	+	0.0407048i
$568$	25.8892	+	4.81979i	1.08629	+	0.202234i
$569$	3.55251	−	8.57653i	0.148929	−	0.359547i	−0.831756	−	0.555142i	$-0.812664\pi$
$569$	3.55251	−	8.57653i	0.148929	−	0.359547i	0.980685	+	0.195595i	$0.0626639\pi$
$570$	−29.7818	−	24.5196i	−1.24742	−	1.02701i
$571$	−15.8775	−	23.7623i	−0.664451	−	0.994421i	−0.998651	−	0.0519190i	$-0.983466\pi$
$571$	−15.8775	−	23.7623i	−0.664451	−	0.994421i	0.334200	−	0.942502i	$-0.391534\pi$
$572$	4.40614	−	10.8888i	0.184230	−	0.455284i
$573$	7.49896	−	11.2230i	0.313273	−	0.468847i
$574$	0.733262	−	3.76692i	0.0306057	−	0.157228i
$575$	−26.8367	−	18.3749i	−1.11917	−	0.766285i
$576$	0.914119	+	0.870261i	0.0380883	+	0.0362609i
$577$	1.05065	−	1.05065i	0.0437392	−	0.0437392i	−0.684899	−	0.728638i	$-0.740154\pi$
$577$	1.05065	−	1.05065i	0.0437392	−	0.0437392i	0.728638	+	0.684899i	$0.240154\pi$
$578$	49.2132	−	33.1755i	2.04700	−	1.37992i
$579$	−8.40646	−	42.2621i	−0.349361	−	1.75635i
$580$	−10.2663	+	34.1540i	−0.426286	+	1.41817i
$581$	−2.24045	+	1.49702i	−0.0929495	+	0.0621069i
$582$	3.74008	+	3.70957i	0.155031	+	0.153767i
$583$	−5.84303	+	2.42026i	−0.241994	+	0.100237i
$584$	0.00843449	−	0.0453054i	0.000349022	−	0.00187475i
$585$	0.238876	+	0.453060i	0.00987631	+	0.0187317i
$586$	2.98155	+	7.11553i	0.123167	+	0.293940i
$587$	12.9409	+	19.3674i	0.534128	+	0.799379i	0.996166	−	0.0874808i	$-0.0278816\pi$
$587$	12.9409	+	19.3674i	0.534128	+	0.799379i	−0.462038	+	0.886860i	$0.652882\pi$
$588$	−4.35887	+	22.8920i	−0.179757	+	0.944048i
$589$	−17.9260	+	26.8282i	−0.738629	+	1.10544i
$590$	4.09800	+	2.19870i	0.168712	+	0.0905190i
$591$	−11.3667	+	11.3667i	−0.467562	+	0.467562i
$592$	15.5415	+	22.4542i	0.638751	+	0.922863i
$593$	−39.6700			−1.62905			−0.814525	−	0.580128i	$-0.803002\pi$
$593$	−39.6700			−1.62905			−0.814525	+	0.580128i	$0.803002\pi$
$594$	−29.8468	+	6.06409i	−1.22463	+	0.248812i
$595$	−1.45717	−	4.90345i	−0.0597380	−	0.201022i
$596$	6.34709	−	9.66963i	0.259987	−	0.396083i
$597$	14.3682	+	21.5036i	0.588052	+	0.880083i
$598$	−5.16163	−	12.3183i	−0.211075	−	0.503734i
$599$	7.91626	+	19.1115i	0.323450	+	0.780876i	0.999049	+	0.0436071i	$0.0138850\pi$
$599$	7.91626	+	19.1115i	0.323450	+	0.780876i	−0.675599	+	0.737269i	$0.736115\pi$
$600$	−13.2270	+	19.8367i	−0.539989	+	0.809829i
$601$	−9.50602	+	22.9496i	−0.387759	+	0.936132i	0.602655	+	0.798002i	$0.294109\pi$
$601$	−9.50602	+	22.9496i	−0.387759	+	0.936132i	−0.990414	+	0.138131i	$0.955891\pi$
$602$	0.0137759	+	3.36350i	0.000561462	+	0.137086i
$603$	0.317154	+	0.0630859i	0.0129155	+	0.00256906i
$604$	0.0278249	+	3.39679i	0.00113218	+	0.138213i
$605$	5.71486	−	10.5476i	0.232342	−	0.428821i
$606$	−11.4972	−	17.0551i	−0.467042	−	0.692817i
$607$	16.5527	−	16.5527i	0.671853	−	0.671853i	−0.286290	−	0.958143i	$-0.592422\pi$
$607$	16.5527	−	16.5527i	0.671853	−	0.671853i	0.958143	+	0.286290i	$0.0924221\pi$
$608$	−28.3451	+	29.5304i	−1.14954	+	1.19762i
$609$	4.00522			0.162300
$610$	7.04229	−	5.76100i	0.285134	−	0.233256i
$611$	−1.11631	−	5.61204i	−0.0451609	−	0.227039i
$612$	−0.0198473	−	2.42290i	−0.000802278	−	0.0979400i
$613$	1.05968	−	5.32736i	0.0428000	−	0.215170i	−0.953467	−	0.301498i	$-0.902513\pi$
$613$	1.05968	−	5.32736i	0.0428000	−	0.215170i	0.996267	+	0.0863281i	$0.0275133\pi$
$614$	19.3611	+	19.2032i	0.781352	+	0.774978i
$615$	32.8025	+	10.1538i	1.32273	+	0.409440i
$616$	1.34305	+	3.13296i	0.0541129	+	0.126230i
$617$	−17.6669	−	7.31787i	−0.711243	−	0.294606i	−0.00242404	−	0.999997i	$-0.500772\pi$
$617$	−17.6669	−	7.31787i	−0.711243	−	0.294606i	−0.708819	+	0.705391i	$0.750772\pi$
$618$	−8.25308	−	19.6961i	−0.331987	−	0.792295i
$619$	1.04839	−	5.27063i	0.0421385	−	0.211845i	−0.953980	−	0.299872i	$-0.903056\pi$
$619$	1.04839	−	5.27063i	0.0421385	−	0.211845i	0.996118	+	0.0880269i	$0.0280562\pi$
$620$	17.6108	+	9.35602i	0.707266	+	0.375747i
$621$	−19.2393	+	28.7937i	−0.772048	+	1.15545i
$622$	−22.3653	−	14.8119i	−0.896767	−	0.593902i
$623$		−	0.496690i		−	0.0198995i
$624$	−8.98279	+	3.89440i	−0.359599	+	0.155901i
$625$	22.8743	+	10.0879i	0.914973	+	0.403516i
$626$	12.4448	+	8.24185i	0.497396	+	0.329410i
$627$	−9.62761	−	48.4013i	−0.384490	−	1.93296i
$628$	−8.38936	−	12.3356i	−0.334772	−	0.492244i
$629$	10.2276	−	51.4176i	0.407801	−	2.05015i
$630$	−0.142160	−	0.0433674i	−0.00566379	−	0.00172780i
$631$	−2.71390	−	6.55193i	−0.108039	−	0.260828i	0.860609	−	0.509266i	$-0.170083\pi$
$631$	−2.71390	−	6.55193i	−0.108039	−	0.260828i	−0.968648	+	0.248438i	$0.920083\pi$
$632$	−13.7155	+	21.0829i	−0.545572	+	0.838633i
$633$	−2.68689	−	6.48672i	−0.106794	−	0.257824i
$634$	−30.0968	+	0.123268i	−1.19530	+	0.00489558i
$635$	19.1087	−	15.5018i	0.758304	−	0.615169i
$636$	4.88650	+	1.97732i	0.193762	+	0.0784057i
$637$	8.34304	+	5.57464i	0.330563	+	0.220875i
$638$	−37.8299	+	25.5019i	−1.49770	+	1.00963i
$639$	−1.46888			−0.0581080
$640$	19.9198	+	15.5949i	0.787399	+	0.616443i
$641$	−18.6383			−0.736168			−0.368084	−	0.929793i	$-0.619986\pi$
$641$	−18.6383			−0.736168			−0.368084	+	0.929793i	$0.619986\pi$
$642$	6.62303	−	4.46471i	0.261390	−	0.176208i
$643$	23.2941	+	15.5647i	0.918631	+	0.613810i	0.922422	−	0.386183i	$-0.126207\pi$
$643$	23.2941	+	15.5647i	0.918631	+	0.613810i	−0.00379075	+	0.999993i	$0.501207\pi$
$644$	3.59277	+	1.45381i	0.141575	+	0.0572882i
$645$	−29.9339	−	3.11952i	−1.17865	−	0.122831i
$646$	78.5803	−	0.321841i	3.09170	−	0.0126627i
$647$	−3.40284	−	8.21517i	−0.133779	−	0.322972i	0.842767	−	0.538278i	$-0.180925\pi$
$647$	−3.40284	−	8.21517i	−0.133779	−	0.322972i	−0.976547	+	0.215306i	$0.930925\pi$
$648$	20.1568	+	13.1130i	0.791833	+	0.515127i
$649$	2.27669	+	5.49641i	0.0893679	+	0.215753i
$650$	5.64167	+	8.57700i	0.221284	+	0.336418i
$651$	0.436919	−	2.19654i	0.0171242	−	0.0860892i
$652$	−2.46126	−	3.61901i	−0.0963903	−	0.141731i
$653$	−2.49724	−	12.5545i	−0.0977247	−	0.491295i	−0.998387	−	0.0567753i	$-0.981918\pi$
$653$	−2.49724	−	12.5545i	−0.0977247	−	0.491295i	0.900662	−	0.434520i	$-0.143082\pi$
$654$	27.8865	+	18.4684i	1.09045	+	0.722171i
$655$	−3.86399	−	41.6488i	−0.150978	−	1.62735i
$656$	13.3898	−	33.8856i	0.522785	−	1.32301i
$657$			0.00257050i			0.000100285i
$658$	1.38438	+	0.916837i	0.0539689	+	0.0357420i
$659$	19.7291	−	29.5266i	0.768536	−	1.15019i	−0.216236	−	0.976341i	$-0.569378\pi$
$659$	19.7291	−	29.5266i	0.768536	−	1.15019i	0.984772	−	0.173854i	$-0.0556219\pi$
$660$	−29.1643	+	8.92745i	−1.13522	+	0.347501i
$661$	−4.56923	+	22.9711i	−0.177723	+	0.893472i	0.784275	+	0.620413i	$0.213035\pi$
$661$	−4.56923	+	22.9711i	−0.177723	+	0.893472i	−0.961997	+	0.273058i	$0.911965\pi$
$662$	−4.97358	−	11.8696i	−0.193304	−	0.461323i
$663$	17.3649	+	7.19279i	0.674398	+	0.279345i
$664$	−23.5133	+	10.0798i	−0.912494	+	0.391171i
$665$	1.42534	−	4.60467i	0.0552724	−	0.178561i
$666$	−1.08147	−	1.07265i	−0.0419062	−	0.0415644i
$667$	−10.1202	+	50.8775i	−0.391854	+	1.96999i
$668$	−0.0563855	−	6.88339i	−0.00218162	−	0.266326i
$669$	−2.28806	−	11.5029i	−0.0884616	−	0.444727i
$670$	6.44940	+	0.645426i	0.249162	+	0.0249350i
$671$	11.6393			0.449331
$672$	1.03328	−	2.64658i	0.0398595	−	0.102094i
$673$	17.2853	−	17.2853i	0.666298	−	0.666298i	−0.290559	−	0.956857i	$-0.593841\pi$
$673$	17.2853	−	17.2853i	0.666298	−	0.666298i	0.956857	+	0.290559i	$0.0938413\pi$
$674$	3.43397	+	5.09400i	0.132271	+	0.196214i
$675$	10.4643	−	24.4751i	0.402771	−	0.942047i
$676$	−0.178440	−	21.7835i	−0.00686310	−	0.837828i
$677$	38.1044	+	7.57943i	1.46447	+	0.291301i	0.862028	−	0.506861i	$-0.169194\pi$
$677$	38.1044	+	7.57943i	1.46447	+	0.291301i	0.602443	+	0.798162i	$0.294194\pi$
$678$	−0.0444498	−	10.8528i	−0.00170708	−	0.416800i
$679$	−0.251887	+	0.608109i	−0.00966653	+	0.0233371i
$680$	−5.08034	−	48.3000i	−0.194822	−	1.85222i
$681$	8.97620	+	21.6705i	0.343969	+	0.830414i
$682$	9.85894	+	23.5286i	0.377518	+	0.900955i
$683$	−13.0620	−	19.5486i	−0.499802	−	0.748006i	0.492705	−	0.870196i	$-0.336008\pi$
$683$	−13.0620	−	19.5486i	−0.499802	−	0.748006i	−0.992507	+	0.122190i	$0.961008\pi$
$684$	1.25287	−	1.90872i	0.0479048	−	0.0729817i
$685$	−17.4880	−	9.47529i	−0.668184	−	0.362032i
$686$	−5.74359	+	1.16695i	−0.219291	+	0.0445542i
$687$	−36.5077			−1.39286
$688$	−5.71609	+	31.4183i	−0.217924	+	1.19781i
$689$	1.60499	−	1.60499i	0.0611453	−	0.0611453i
$690$	−16.3957	+	30.5588i	−0.624174	+	1.16335i
$691$	−5.77918	+	8.64916i	−0.219851	+	0.329030i	−0.924957	−	0.380072i	$-0.875899\pi$
$691$	−5.77918	+	8.64916i	−0.219851	+	0.329030i	0.705106	+	0.709102i	$0.250899\pi$
$692$	−2.54670	+	13.3748i	−0.0968110	+	0.508433i
$693$	−0.105632	−	0.158090i	−0.00401263	−	0.00600532i
$694$	−7.63761	−	18.2273i	−0.289920	−	0.691900i
$695$	4.16747	−	13.4633i	0.158081	−	0.510693i
$696$	37.3841	+	6.95978i	1.41704	+	0.263810i
$697$	−64.6224	+	26.7675i	−2.44775	+	1.01389i
$698$	−12.0150	−	11.9170i	−0.454775	−	0.451065i
$699$	37.5206	−	25.0704i	1.41916	−	0.948251i
$700$	−2.92003	−	0.590358i	−0.110367	−	0.0223134i
$701$	1.90257	+	9.56487i	0.0718591	+	0.361260i	0.999938	−	0.0111232i	$-0.00354069\pi$
$701$	1.90257	+	9.56487i	0.0718591	+	0.361260i	−0.928079	+	0.372383i	$0.878541\pi$
$702$	9.06356	−	6.10992i	0.342082	−	0.230604i
$703$	34.9311	−	34.9311i	1.31745	−	1.31745i
$704$	7.09170	+	31.5763i	0.267279	+	1.19008i
$705$	−9.49029	+	11.4313i	−0.357425	+	0.430527i
$706$	0.771831	−	3.96506i	0.0290482	−	0.149227i
$707$	1.42785	−	2.13693i	0.0536999	−	0.0803675i
$708$	1.86002	−	4.59662i	0.0699038	−	0.172752i
$709$	−16.7331	−	25.0428i	−0.628424	−	0.940502i	−0.999927	−	0.0120708i	$-0.996158\pi$
$709$	−16.7331	−	25.0428i	−0.628424	−	0.940502i	0.371504	−	0.928432i	$-0.378842\pi$
$710$	−29.3051	+	2.83989i	−1.09980	+	0.106579i
$711$	0.536876	−	1.29613i	0.0201344	−	0.0486088i
$712$	0.863087	−	4.63602i	0.0323456	−	0.173742i
$713$	26.7982	+	11.1002i	1.00360	+	0.415705i
$714$	−5.03051	+	2.10789i	−0.188262	+	0.0788856i
$715$	−1.36127	+	13.0622i	−0.0509085	+	0.488500i
$716$	0.575364	−	0.391301i	0.0215024	−	0.0146236i
$717$	40.0718	−	7.97079i	1.49651	−	0.297674i
$718$	6.25569	+	30.7899i	0.233460	+	1.14907i
$719$	−12.3008	−	12.3008i	−0.458742	−	0.458742i	0.439501	−	0.898242i	$-0.355155\pi$
$719$	−12.3008	−	12.3008i	−0.458742	−	0.458742i	−0.898242	+	0.439501i	$0.855155\pi$
$720$	−1.25154	−	0.651812i	−0.0466421	−	0.0242916i
$721$	1.88683	−	1.88683i	0.0702693	−	0.0702693i
$722$	39.3331	+	26.0492i	1.46383	+	0.969449i
$723$	8.23284	+	41.3893i	0.306182	+	1.53928i
$724$	15.3083	−	23.3218i	0.568929	−	0.866749i
$725$	0.451689	−	39.8706i	0.0167753	−	1.48076i
$726$	−11.8374	−	4.84650i	−0.439327	−	0.179871i
$727$	−0.427353	+	1.03172i	−0.0158497	+	0.0382645i	−0.931606	−	0.363469i	$-0.881592\pi$
$727$	−0.427353	+	1.03172i	−0.0158497	+	0.0382645i	0.915757	+	0.401734i	$0.131592\pi$
$728$	−0.875606	−	0.854349i	−0.0324521	−	0.0316643i
$729$	−26.1150	−	10.8172i	−0.967221	−	0.400636i
$730$	0.00496973	+	0.0512831i	0.000183938	+	0.00189807i
$731$	50.9738	−	34.0596i	1.88533	−	1.25974i
$732$	−6.91582	−	6.80344i	−0.255616	−	0.251462i
$733$	23.3535	+	15.6043i	0.862581	+	0.576358i	0.906276	−	0.422687i	$-0.138913\pi$
$733$	23.3535	+	15.6043i	0.862581	+	0.576358i	−0.0436949	+	0.999045i	$0.513913\pi$
$734$	13.1489	−	8.86392i	0.485334	−	0.327173i
$735$	−2.40682	−	25.9424i	−0.0887768	−	0.956900i
$736$	31.0081	+	19.8127i	1.14297	+	0.730306i
$737$	5.86307	+	5.86307i	0.215969	+	0.215969i
$738$	−0.388317	+	1.99487i	−0.0142941	+	0.0734320i
$739$	22.9951	−	4.57401i	0.845888	−	0.168258i	0.246925	−	0.969035i	$-0.420580\pi$
$739$	22.9951	−	4.57401i	0.845888	−	0.168258i	0.598963	+	0.800777i	$0.295580\pi$
$740$	−23.6499	−	19.3092i	−0.869388	−	0.709819i
$741$	9.83980	+	14.7263i	0.361474	+	0.540984i
$742$	0.00269769	+	0.658664i	9.90351e−5	+	0.0241803i
$743$	14.7545	+	35.6205i	0.541290	+	1.30679i	0.923813	+	0.382843i	$0.125055\pi$
$743$	14.7545	+	35.6205i	0.541290	+	1.30679i	−0.382524	+	0.923946i	$0.624945\pi$
$744$	7.89501	−	19.7429i	0.289445	−	0.723811i
$745$	−3.82397	+	12.3536i	−0.140099	+	0.452601i
$746$	−31.5936	−	12.9352i	−1.15672	−	0.473590i
$747$	1.18649	−	0.792784i	0.0434112	−	0.0290065i
$748$	34.0927	−	51.9393i	1.24655	−	1.89909i
$749$	0.829835	+	0.554478i	0.0303215	+	0.0202602i
$750$	8.06624	−	25.4066i	0.294538	−	0.927717i
$751$	9.22737	+	9.22737i	0.336711	+	0.336711i	0.855128	−	0.518417i	$-0.173478\pi$
$751$	9.22737	+	9.22737i	0.336711	+	0.336711i	−0.518417	+	0.855128i	$0.673478\pi$
$752$	11.3284	+	10.9632i	0.413106	+	0.399787i
$753$		−	6.00212i		−	0.218730i
$754$	9.04091	−	13.6514i	0.329250	−	0.497154i
$755$	−1.08186	−	3.64050i	−0.0393727	−	0.132492i
$756$	−0.593313	+	3.11596i	−0.0215786	+	0.113327i
$757$	−22.5980	+	15.0995i	−0.821340	+	0.548802i	−0.893746	−	0.448574i	$-0.851932\pi$
$757$	−22.5980	+	15.0995i	−0.821340	+	0.548802i	0.0724063	+	0.997375i	$0.476932\pi$
$758$	−2.89695	+	7.07570i	−0.105222	+	0.257001i
$759$	−40.9868	+	16.9773i	−1.48773	+	0.616236i
$760$	21.3053	−	40.5024i	0.772825	−	1.46918i
$761$	−4.66298	−	1.93147i	−0.169033	−	0.0700158i	0.296562	−	0.955014i	$-0.404160\pi$
$761$	−4.66298	−	1.93147i	−0.169033	−	0.0700158i	−0.465595	+	0.884998i	$0.654160\pi$
$762$	−18.6275	−	18.4755i	−0.674802	−	0.669297i
$763$	−0.815344	+	4.09901i	−0.0295174	+	0.148394i
$764$	14.8434	+	6.00637i	0.537016	+	0.217303i
$765$	0.771678	+	2.59674i	0.0279001	+	0.0938854i
$766$	−6.49444	+	33.3633i	−0.234654	+	1.20547i
$767$	−1.50978	−	1.50978i	−0.0545150	−	0.0545150i
$768$	14.2433	−	22.9072i	0.513962	−	0.826592i
$769$		−	23.3458i		−	0.841872i	−0.907090	−	0.420936i	$-0.861702\pi$
$769$		−	23.3458i		−	0.841872i	0.907090	−	0.420936i	$-0.138298\pi$
$770$	−2.41307	−	2.94976i	−0.0869611	−	0.106302i
$771$	−12.1064	+	2.40812i	−0.436003	+	0.0867263i
$772$	47.0655	−	19.9484i	1.69392	−	0.717958i
$773$	28.6038	+	5.68965i	1.02881	+	0.204643i	0.680508	−	0.732741i	$-0.261759\pi$
$773$	28.6038	+	5.68965i	1.02881	+	0.204643i	0.348300	+	0.937383i	$0.386759\pi$
$774$	−0.00729535	−	1.78122i	−0.000262226	−	0.0640248i
$775$	−21.8165	−	4.59709i	−0.783672	−	0.165132i
$776$	−3.40777	+	5.23829i	−0.122332	+	0.188044i
$777$	−1.31216	+	3.16783i	−0.0470735	+	0.113645i
$778$	10.1475	+	4.15462i	0.363805	+	0.148950i
$779$	−64.6444	−	12.8586i	−2.31613	−	0.460706i
$780$	8.44401	−	6.96561i	0.302344	−	0.249409i
$781$	−31.3167	−	20.9251i	−1.12060	−	0.748760i
$782$	−14.0652	−	69.2276i	−0.502971	−	2.47557i
$783$	−42.4542			−1.51719
$784$	−27.6413	+	0.452879i	−0.987189	+	0.0161743i
$785$	12.8328	+	10.6538i	0.458023	+	0.380252i
$786$	−43.7059	+	8.87988i	−1.55894	+	0.316735i
$787$	−11.3841	+	2.26444i	−0.405800	+	0.0807186i	−0.393770	−	0.919209i	$-0.628829\pi$
$787$	−11.3841	+	2.26444i	−0.405800	+	0.0807186i	−0.0120298	+	0.999928i	$0.503829\pi$
$788$	−15.9423	−	10.4644i	−0.567920	−	0.372780i
$789$	14.8220	+	2.94828i	0.527678	+	0.104962i
$790$	8.20510	−	26.8967i	0.291924	−	0.956940i
$791$	1.25286	−	0.518952i	0.0445466	−	0.0184518i
$792$	−0.711243	−	1.65914i	−0.0252729	−	0.0589548i
$793$	−3.85929	+	1.59857i	−0.137047	+	0.0567669i
$794$	−13.0420	+	13.1493i	−0.462844	+	0.466651i
$795$	−5.86186	−	0.610886i	−0.207899	−	0.0216659i
$796$	−21.5160	+	21.8715i	−0.762616	+	0.775213i
$797$	−22.0771	+	33.0408i	−0.782013	+	1.17036i	0.199674	+	0.979862i	$0.436012\pi$
$797$	−22.0771	+	33.0408i	−0.782013	+	1.17036i	−0.981687	+	0.190502i	$0.938988\pi$
$798$	−5.04488	−	0.982027i	−0.178587	−	0.0347634i
$799$		−	30.2644i		−	1.07068i
$800$	−26.2292	−	10.5844i	−0.927342	−	0.374214i
$801$			0.263035i			0.00929387i
$802$	−5.70818	+	29.3241i	−0.201563	+	1.03547i
$803$	−0.0366184	+	0.0548033i	−0.00129224	+	0.00193397i
$804$	−0.0566100	−	6.91080i	−0.00199648	−	0.243725i
$805$	−4.30990	−	0.449151i	−0.151904	−	0.0158305i
$806$	−6.50043	−	6.44740i	−0.228968	−	0.227100i
$807$	−33.1441	+	13.7287i	−1.16673	+	0.483275i
$808$	17.0406	−	17.4646i	0.599487	−	0.614403i
$809$	−35.1700	+	14.5679i	−1.23651	+	0.512180i	−0.902622	−	0.430433i	$-0.858361\pi$
$809$	−35.1700	+	14.5679i	−1.23651	+	0.512180i	−0.333888	+	0.942613i	$0.608361\pi$
$810$	−25.7152	−	7.84467i	−0.903538	−	0.275634i
$811$	21.8921	+	4.35460i	0.768735	+	0.152911i	0.563852	−	0.825876i	$-0.309319\pi$
$811$	21.8921	+	4.35460i	0.768735	+	0.152911i	0.204883	+	0.978787i	$0.434319\pi$
$812$	0.965105	+	4.65241i	0.0338685	+	0.163268i
$813$	12.9790	−	2.58168i	0.455194	−	0.0905436i
$814$	−7.77654	−	38.2753i	−0.272568	−	1.34155i
$815$	3.76488	+	3.12561i	0.131878	+	0.109485i
$816$	−50.6168	+	10.9332i	−1.77194	+	0.382740i
$817$	57.7683			2.02106
$818$	23.4885	−	4.77224i	0.821256	−	0.166858i
$819$	0.0567372	+	0.0379106i	0.00198256	+	0.00132470i
$820$	−3.89034	+	40.5496i	−0.135857	+	1.41605i
$821$	43.1455	+	8.58217i	1.50579	+	0.299520i	0.877923	−	0.478802i	$-0.158929\pi$
$821$	43.1455	+	8.58217i	1.50579	+	0.299520i	0.627865	+	0.778322i	$0.283929\pi$
$822$	−8.03555	+	19.6265i	−0.280272	+	0.684553i
$823$	18.3438	−	44.2857i	0.639423	−	1.54370i	−0.188026	−	0.982164i	$-0.560209\pi$
$823$	18.3438	−	44.2857i	0.639423	−	1.54370i	0.827449	−	0.561540i	$-0.189791\pi$
$824$	20.8901	−	14.3327i	0.727740	−	0.499302i
$825$	28.5661	−	18.6226i	0.994543	−	0.648357i
$826$	0.619590	−	0.00253765i	0.0215583	−	8.82963e-5i
$827$	−5.27915	−	1.05009i	−0.183574	−	0.0365151i	0.102447	−	0.994738i	$-0.467333\pi$
$827$	−5.27915	−	1.05009i	−0.183574	−	0.0365151i	−0.286021	+	0.958223i	$0.592333\pi$
$828$	−1.90264	−	0.769902i	−0.0661213	−	0.0267559i
$829$	−52.7579	+	10.4942i	−1.83236	+	0.364479i	−0.985814	−	0.167840i	$-0.946321\pi$
$829$	−52.7579	+	10.4942i	−1.83236	+	0.364479i	−0.846544	+	0.532319i	$0.821321\pi$
$830$	22.1384	−	18.1105i	0.768435	−	0.628623i
$831$			32.6812i			1.13370i
$832$	−6.68818	−	9.49588i	−0.231871	−	0.329210i
$833$	37.5274	+	37.5274i	1.30025	+	1.30025i
$834$	−14.7504	−	2.87129i	−0.510766	−	0.0994247i
$835$	2.19232	+	7.37727i	0.0758682	+	0.255301i
$836$	53.9023	−	22.8461i	1.86425	−	0.790150i
$837$	−4.63121	+	23.2827i	−0.160078	+	0.804767i
$838$	26.1231	−	26.3380i	0.902409	−	0.909831i
$839$	28.8269	+	11.9405i	0.995216	+	0.412232i	0.820041	−	0.572305i	$-0.193951\pi$
$839$	28.8269	+	11.9405i	0.995216	+	0.412232i	0.175175	+	0.984537i	$0.443951\pi$
$840$	−0.290407	+	3.16318i	−0.0100200	+	0.109140i
$841$	−31.9614	+	13.2388i	−1.10212	+	0.456511i
$842$	−20.7058	−	8.47742i	−0.713567	−	0.292151i
$843$	−0.479211	+	0.320198i	−0.0165049	+	0.0110282i
$844$	6.88744	−	4.68410i	0.237075	−	0.161233i
$845$	6.93792	+	23.3465i	0.238672	+	0.803143i
$846$	−0.733135	−	0.485534i	−0.0252057	−	0.0166930i
$847$		−	1.59827i		−	0.0549171i
$848$	−1.11936	+	6.15254i	−0.0384391	+	0.211279i
$849$	−11.5255	−	11.5255i	−0.395554	−	0.395554i
$850$	20.4159	+	50.3147i	0.700261	+	1.72578i
$851$	−36.9248	−	24.6724i	−1.26577	−	0.845759i
$852$	6.37647	+	30.7386i	0.218454	+	1.05309i
$853$	0.904974	−	0.604684i	0.0309857	−	0.0207040i	−0.539981	−	0.841677i	$-0.681569\pi$
$853$	0.904974	−	0.604684i	0.0309857	−	0.0207040i	0.570967	+	0.820973i	$0.306569\pi$
$854$	0.459295	−	1.12181i	0.0157168	−	0.0383876i
$855$	−0.754825	+	2.43852i	−0.0258145	+	0.0833955i
$856$	6.78204	+	6.61739i	0.231805	+	0.226178i
$857$	−1.84206	−	4.44711i	−0.0629234	−	0.151911i	0.889290	−	0.457343i	$-0.151199\pi$
$857$	−1.84206	−	4.44711i	−0.0629234	−	0.151911i	−0.952214	+	0.305433i	$0.901199\pi$
$858$	14.0030	−	0.0573518i	0.478053	−	0.00195796i
$859$	6.25605	+	9.36285i	0.213454	+	0.319456i	0.922710	−	0.385494i	$-0.125969\pi$
$859$	6.25605	+	9.36285i	0.213454	+	0.319456i	−0.709256	+	0.704951i	$0.750969\pi$
$860$	−3.58932	−	35.5224i	−0.122395	−	1.21131i
$861$	4.48695	−	0.892510i	0.152915	−	0.0304167i
$862$	−9.70880	−	1.88990i	−0.330683	−	0.0643701i
$863$	32.5144	+	32.5144i	1.10680	+	1.10680i	0.993568	+	0.113233i	$0.0361207\pi$
$863$	32.5144	+	32.5144i	1.10680	+	1.10680i	0.113233	+	0.993568i	$0.463879\pi$
$864$	−10.9524	+	28.0529i	−0.372609	+	0.954379i
$865$	−1.40620	−	15.1570i	−0.0478122	−	0.515355i
$866$	−19.1925	−	28.4704i	−0.652187	−	0.967465i
$867$	58.8288	+	39.3082i	1.99793	+	1.33498i
$868$	2.65675	−	0.0217628i	0.0901760	−	0.000738679i
$869$	29.9105	−	19.9856i	1.01464	−	0.677964i
$870$	−42.3166	+	4.10081i	−1.43467	+	0.139031i
$871$	−2.74929	−	1.13879i	−0.0931560	−	0.0385865i
$872$	−14.7330	+	36.8427i	−0.498924	+	1.24765i
$873$	0.133393	−	0.322039i	0.00451467	−	0.0108994i
$874$	25.2216	−	61.6028i	0.853133	−	2.08374i
$875$	3.31977	−	0.270100i	0.112229	−	0.00913105i
$876$	0.0537916	−	0.0111586i	0.00181745	−	0.000377015i
$877$	−11.1495	−	56.0523i	−0.376492	−	1.89275i	−0.445755	−	0.895155i	$-0.647065\pi$
$877$	−11.1495	−	56.0523i	−0.376492	−	1.89275i	0.0692632	−	0.997598i	$-0.477935\pi$
$878$	3.02825	−	4.57252i	0.102198	−	0.154315i
$879$	−6.50329	+	6.50329i	−0.219350	+	0.219350i
$880$	−17.3975	−	31.7257i	−0.586469	−	1.06947i
$881$	13.2845	+	13.2845i	0.447565	+	0.447565i	0.894544	−	0.446979i	$-0.147500\pi$
$881$	13.2845	+	13.2845i	0.447565	+	0.447565i	−0.446979	+	0.894544i	$0.647500\pi$
$882$	1.51113	−	0.307021i	0.0508823	−	0.0103379i
$883$	5.61005	−	1.11591i	0.188793	−	0.0375533i	−0.0997881	−	0.995009i	$-0.531816\pi$
$883$	5.61005	−	1.11591i	0.188793	−	0.0375533i	0.288581	+	0.957455i	$0.406816\pi$
$884$	−4.17076	+	21.9041i	−0.140278	+	0.736713i
$885$	−0.574648	+	5.51412i	−0.0193166	+	0.185355i
$886$	−0.945655	−	2.25683i	−0.0317699	−	0.0758195i
$887$	48.3947	+	20.0457i	1.62493	+	0.673070i	0.994651	−	0.103295i	$-0.0329387\pi$
$887$	48.3947	+	20.0457i	1.62493	+	0.673070i	0.630283	+	0.776365i	$0.282939\pi$
$888$	−17.7522	+	27.2879i	−0.595723	+	0.915723i
$889$	1.25452	−	3.02869i	0.0420754	−	0.101579i
$890$	0.508544	+	5.24771i	0.0170464	+	0.175904i
$891$	−19.1077	−	28.5966i	−0.640131	−	0.958023i
$892$	12.8102	−	5.42953i	0.428918	−	0.181794i
$893$	15.8438	−	23.7120i	0.530194	−	0.793491i
$894$	13.5346	+	2.63462i	0.452665	+	0.0881150i
$895$	−0.496922	+	0.598555i	−0.0166103	+	0.0200075i
$896$	3.32320	+	0.562516i	0.111020	+	0.0187923i
$897$	11.2584	−	11.2584i	0.375908	−	0.375908i
$898$	−9.19052	−	13.6334i	−0.306692	−	0.454952i
$899$	6.93738	+	34.8766i	0.231375	+	1.16320i
$900$	1.54637	+	0.312639i	0.0515458	+	0.0104213i
$901$	9.98203	−	6.66978i	0.332550	−	0.222203i
$902$	−36.6971	+	36.9990i	−1.22188	+	1.23193i
$903$	−3.70446	+	1.53444i	−0.123277	+	0.0510629i
$904$	12.5958	−	2.66674i	0.418929	−	0.0886945i
$905$	−9.22289	+	29.7952i	−0.306579	+	0.990426i
$906$	−3.73484	+	1.56497i	−0.124082	+	0.0519928i
$907$	−6.60521	−	9.88539i	−0.219322	−	0.328239i	0.705450	−	0.708759i	$-0.250745\pi$
$907$	−6.60521	−	9.88539i	−0.219322	−	0.328239i	−0.924772	+	0.380520i	$0.875745\pi$
$908$	−23.0092	+	15.6484i	−0.763587	+	0.519310i
$909$	−0.756154	+	1.13166i	−0.0250800	+	0.0375349i
$910$	1.20524	+	0.646646i	0.0399532	+	0.0214361i
$911$	5.01174	−	5.01174i	0.166046	−	0.166046i	−0.619193	−	0.785239i	$-0.712540\pi$
$911$	5.01174	−	5.01174i	0.166046	−	0.166046i	0.785239	+	0.619193i	$0.212540\pi$
$912$	−45.3816	−	17.9325i	−1.50274	−	0.593803i
$913$	36.5897			1.21094
$914$	7.60914	+	37.4514i	0.251688	+	1.23878i
$915$	9.53655	+	5.16705i	0.315269	+	0.170818i
$916$	−8.79696	−	42.4069i	−0.290660	−	1.40116i
$917$	−3.09602	−	4.63352i	−0.102240	−	0.153012i
$918$	53.3219	−	22.3430i	1.75989	−	0.737427i
$919$	14.1696	+	34.2083i	0.467410	+	1.12843i	0.965290	+	0.261182i	$0.0841123\pi$
$919$	14.1696	+	34.2083i	0.467410	+	1.12843i	−0.497879	+	0.867246i	$0.665888\pi$
$920$	−39.4474	−	11.6815i	−1.30054	−	0.385128i
$921$	−12.4403	+	30.0334i	−0.409920	+	0.989635i
$922$	−8.65798	+	0.0354605i	−0.285135	+	0.00116783i
$923$	13.2577	+	2.63712i	0.436382	+	0.0868018i
$924$	−2.84971	+	2.89679i	−0.0937487	+	0.0952973i
$925$	31.3867	+	13.4193i	1.03199	+	0.441225i
$926$	−17.4046	+	11.7328i	−0.571950	+	0.385563i
$927$	−0.999218	+	0.999218i	−0.0328186	+	0.0328186i
$928$	0.923742	+	45.1019i	0.0303233	+	1.48054i
$929$	−57.1109			−1.87375			−0.936874	−	0.349668i	$-0.886295\pi$
$929$	−57.1109			−1.87375			−0.936874	+	0.349668i	$0.886295\pi$
$930$	−2.36724	+	23.6546i	−0.0776249	+	0.775664i
$931$	9.75637	+	49.0486i	0.319752	+	1.60750i
$932$	38.1625	+	37.5423i	1.25005	+	1.22974i
$933$	6.23872	−	31.3642i	0.204247	−	1.02682i
$934$	−18.8316	+	18.9865i	−0.616189	+	0.621257i
$935$	−20.5400	+	66.3559i	−0.671730	+	2.17007i
$936$	0.463699	+	0.452442i	0.0151565	+	0.0147885i
$937$	−28.8601	−	11.9542i	−0.942818	−	0.390528i	−0.142291	−	0.989825i	$-0.545447\pi$
$937$	−28.8601	−	11.9542i	−0.942818	−	0.390528i	−0.800527	+	0.599297i	$0.795447\pi$
$938$	0.796450	−	0.333729i	0.0260050	−	0.0108966i
$939$	−3.47144	+	17.4521i	−0.113286	+	0.569528i
$940$	−15.5652	−	8.26928i	−0.507682	−	0.269714i
$941$	15.6048	−	23.3543i	0.508702	−	0.761327i	−0.484863	−	0.874590i	$-0.661130\pi$
$941$	15.6048	−	23.3543i	0.508702	−	0.761327i	0.993565	+	0.113263i	$0.0361304\pi$
$942$	9.81957	−	14.8271i	0.319939	−	0.483094i
$943$			59.2520i			1.92951i
$944$	5.78756	+	1.05296i	0.188369	+	0.0342710i
$945$	−0.327607	−	3.53118i	−0.0106570	−	0.114869i
$946$	25.2192	−	38.0798i	0.819946	−	1.23808i
$947$	5.96611	+	29.9936i	0.193872	+	0.974662i	0.948081	+	0.318028i	$0.103021\pi$
$947$	5.96611	+	29.9936i	0.193872	+	0.974662i	−0.754209	+	0.656635i	$0.771979\pi$
$948$	−29.4542	−	5.60839i	−0.956627	−	0.182152i
$949$	0.00461488	−	0.0232006i	0.000149805	−	0.000753123i
$950$	−10.3447	+	50.1093i	−0.335625	+	1.62576i
$951$	−13.7303	−	33.1478i	−0.445235	−	1.07489i
$952$	−3.66065	−	5.33545i	−0.118642	−	0.172923i
$953$	18.8319	+	45.4643i	0.610025	+	1.47273i	0.862972	+	0.505252i	$0.168600\pi$
$953$	18.8319	+	45.4643i	0.610025	+	1.47273i	−0.252947	+	0.967480i	$0.581400\pi$
$954$	−0.00142863	−	0.348812i	−4.62535e−5	−	0.0112932i
$955$	−17.8062	−	1.85565i	−0.576195	−	0.0600475i
$956$	18.9145	+	44.6262i	0.611739	+	1.44332i
$957$	−45.2214	−	30.2160i	−1.46180	−	0.976743i
$958$	−22.6027	−	33.5293i	−0.730261	−	1.08328i
$959$	−2.64994			−0.0855711
$960$	−8.20719	+	29.0199i	−0.264886	+	0.936615i
$961$	−11.1163			−0.358589
$962$	7.83532	+	11.6230i	0.252621	+	0.374742i
$963$	−0.439460	−	0.293637i	−0.0141614	−	0.00946234i
$964$	−46.0934	+	19.5364i	−1.48457	+	0.629224i
$965$	−44.3839	+	36.0061i	−1.42877	+	1.15908i
$966$	0.0189233	+	4.62029i	0.000608847	+	0.148655i
$967$	17.7669	+	42.8930i	0.571344	+	1.37935i	0.900411	+	0.435040i	$0.143266\pi$
$967$	17.7669	+	42.8930i	0.571344	+	1.37935i	−0.329067	+	0.944306i	$0.606734\pi$
$968$	2.77727	−	14.9180i	0.0892649	−	0.479481i
$969$	35.8486	+	86.5462i	1.15162	+	2.78026i
$970$	2.03865	−	6.68278i	0.0654572	−	0.214571i
$971$	−2.44440	+	12.2888i	−0.0784446	+	0.394368i	0.921537	+	0.388291i	$0.126934\pi$
$971$	−2.44440	+	12.2888i	−0.0784446	+	0.394368i	−0.999982	+	0.00607705i	$0.998066\pi$
$972$	0.612709	−	3.21783i	0.0196526	−	0.103212i
$973$	−0.366318	−	1.84160i	−0.0117436	−	0.0590391i
$974$	−23.4577	+	35.4202i	−0.751634	+	1.13494i
$975$	−6.91408	+	10.0981i	−0.221428	+	0.323398i
$976$	6.23633	−	9.67269i	0.199620	−	0.309615i
$977$			22.4506i			0.718258i	0.933288	+	0.359129i	$0.116926\pi$
$977$			22.4506i			0.718258i	−0.933288	+	0.359129i	$0.883074\pi$
$978$	2.88085	−	4.34996i	0.0921195	−	0.139096i
$979$	−3.74710	+	5.60793i	−0.119758	+	0.179230i
$980$	29.5544	−	9.04685i	0.944080	−	0.288991i
$981$	0.431785	−	2.17073i	0.0137858	−	0.0693061i
$982$	−35.3145	+	14.7975i	−1.12693	+	0.472206i
$983$	−7.55034	−	3.12745i	−0.240819	−	0.0997503i	0.259010	−	0.965875i	$-0.416604\pi$
$983$	−7.55034	−	3.12745i	−0.240819	−	0.0997503i	−0.499829	+	0.866124i	$0.666604\pi$
$984$	43.4314	−	0.533669i	1.38454	−	0.0170127i
$985$	20.3673	+	6.30456i	0.648957	+	0.200880i
$986$	60.9861	−	61.4878i	1.94219	−	1.95817i
$987$	−0.386169	+	1.94140i	−0.0122919	+	0.0617955i
$988$	−14.7348	+	14.9782i	−0.468778	+	0.476521i
$989$	−10.1314	−	50.9341i	−0.322161	−	1.61961i
$990$	1.27790	+	1.56212i	0.0406144	+	0.0496474i
$991$	−26.4588			−0.840492			−0.420246	−	0.907410i	$-0.638056\pi$
$991$	−26.4588			−0.840492			−0.420246	+	0.907410i	$0.638056\pi$
$992$	24.8355	+	4.41344i	0.788528	+	0.140127i
$993$	10.8483	−	10.8483i	0.344259	−	0.344259i
$994$	−3.25257	+	2.19262i	−0.103165	+	0.0695456i
$995$	16.3409	−	30.1596i	0.518043	−	0.956123i
$996$	−21.7408	−	21.3875i	−0.688884	−	0.677690i
$997$	−29.5173	−	5.87136i	−0.934822	−	0.185948i	−0.295900	−	0.955219i	$-0.595619\pi$
$997$	−29.5173	−	5.87136i	−0.934822	−	0.185948i	−0.638922	+	0.769271i	$0.720619\pi$
$998$	−51.8003	+	0.212158i	−1.63971	+	0.00671575i
$999$	13.9085	−	33.5781i	0.440046	−	1.06236i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	320.2.bd.a.43.9	✓	368
5.2	odd	4		320.2.bj.a.107.15	yes	368
64.3	odd	16		320.2.bj.a.3.15	yes	368
320.67	even	16	inner	320.2.bd.a.67.9	yes	368

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
320.2.bd.a.43.9	✓	368	1.1	even	1	trivial
320.2.bd.a.67.9	yes	368	320.67	even	16	inner
320.2.bj.a.3.15	yes	368	64.3	odd	16
320.2.bj.a.107.15	yes	368	5.2	odd	4

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:	\( N \)	\(=\)	\( 320 = 2^{6} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	320.bd (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.17265 + 0.790504i) q^{2} +(-1.40177 - 0.936632i) q^{3} +(0.750206 - 1.85397i) q^{4} +(-0.231774 + 2.22402i) q^{5} +(2.38419 - 0.00976493i) q^{6} +(0.114006 + 0.275234i) q^{7} +(0.585841 + 2.76709i) q^{8} +(-0.0603745 - 0.145757i) q^{9} +O(q^{10})\)	\(q+(-1.17265 + 0.790504i) q^{2} +(-1.40177 - 0.936632i) q^{3} +(0.750206 - 1.85397i) q^{4} +(-0.231774 + 2.22402i) q^{5} +(2.38419 - 0.00976493i) q^{6} +(0.114006 + 0.275234i) q^{7} +(0.585841 + 2.76709i) q^{8} +(-0.0603745 - 0.145757i) q^{9} +(-1.48631 - 2.79121i) q^{10} +(0.789210 - 3.96763i) q^{11} +(-2.78810 + 1.89617i) q^{12} +(0.283242 + 1.42395i) q^{13} +(-0.351262 - 0.232630i) q^{14} +(2.40798 - 2.90048i) q^{15} +(-2.87438 - 2.78171i) q^{16} +7.67903i q^{17} +(0.186019 + 0.123195i) q^{18} +(-4.02008 + 6.01648i) q^{19} +(3.94939 + 2.09818i) q^{20} +(0.0979833 - 0.492595i) q^{21} +(2.21096 + 5.27650i) q^{22} +(6.00975 + 2.48932i) q^{23} +(1.77053 - 4.42754i) q^{24} +(-4.89256 - 1.03094i) q^{25} +(-1.45778 - 1.44589i) q^{26} +(-1.03859 + 5.22136i) q^{27} +(0.595802 - 0.00488053i) q^{28} +(1.55577 + 7.82140i) q^{29} +(-0.530876 + 5.30476i) q^{30} +4.45912 q^{31} +(5.56959 + 0.989757i) q^{32} +(-4.82250 + 4.82250i) q^{33} +(-6.07031 - 9.00480i) q^{34} +(-0.638550 + 0.189759i) q^{35} +(-0.315522 + 0.00258460i) q^{36} +(-6.69584 - 1.33188i) q^{37} +(-0.0419117 - 10.2331i) q^{38} +(0.936680 - 2.26134i) q^{39} +(-6.28986 + 0.661586i) q^{40} +(3.48579 + 8.41544i) q^{41} +(0.274499 + 0.655097i) q^{42} +(-4.43540 - 6.63804i) q^{43} +(-6.76378 - 4.43971i) q^{44} +(0.338160 - 0.100492i) q^{45} +(-9.01514 + 1.83164i) q^{46} -3.94117 q^{47} +(1.42378 + 6.59155i) q^{48} +(4.88699 - 4.88699i) q^{49} +(6.55222 - 2.65866i) q^{50} +(7.19243 - 10.7642i) q^{51} +(2.85245 + 0.543136i) q^{52} +(-0.868570 - 1.29991i) q^{53} +(-2.90961 - 6.94383i) q^{54} +(8.64118 + 2.67481i) q^{55} +(-0.694807 + 0.476707i) q^{56} +(11.2704 - 4.66837i) q^{57} +(-8.00722 - 7.94190i) q^{58} +(-1.22279 + 0.817045i) q^{59} +(-3.57091 - 6.64028i) q^{60} +(0.561314 + 2.82192i) q^{61} +(-5.22898 + 3.52495i) q^{62} +(0.0332342 - 0.0332342i) q^{63} +(-7.31358 + 3.24215i) q^{64} +(-3.23255 + 0.299901i) q^{65} +(1.84289 - 9.46729i) q^{66} +(-1.13873 + 1.70423i) q^{67} +(14.2367 + 5.76086i) q^{68} +(-6.09271 - 9.11838i) q^{69} +(0.598789 - 0.727297i) q^{70} +(3.56297 - 8.60177i) q^{71} +(0.367952 - 0.252452i) q^{72} +(-0.0150529 - 0.00623510i) q^{73} +(8.90472 - 3.73126i) q^{74} +(5.89263 + 6.02767i) q^{75} +(8.13846 + 11.9667i) q^{76} +(1.18200 - 0.235114i) q^{77} +(0.689207 + 3.39221i) q^{78} +(6.28790 + 6.28790i) q^{79} +(6.85280 - 5.74797i) q^{80} +(6.01169 - 6.01169i) q^{81} +(-10.7400 - 7.11281i) q^{82} +(1.76457 + 8.87108i) q^{83} +(-0.839747 - 0.551205i) q^{84} +(-17.0784 - 1.77980i) q^{85} +(10.4486 + 4.27788i) q^{86} +(5.14494 - 12.4210i) q^{87} +(11.4411 - 0.140585i) q^{88} +(-1.54033 - 0.638027i) q^{89} +(-0.317103 + 0.385158i) q^{90} +(-0.359628 + 0.240296i) q^{91} +(9.12367 - 9.27438i) q^{92} +(-6.25065 - 4.17655i) q^{93} +(4.62161 - 3.11552i) q^{94} +(-12.4490 - 10.3352i) q^{95} +(-6.88024 - 6.60407i) q^{96} +(1.56230 + 1.56230i) q^{97} +(-1.86753 + 9.59391i) q^{98} +(-0.625957 + 0.124511i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 368 q - 8 q^{2} - 8 q^{3} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 8 q^{8}+O(q^{10}) \) 368 * q - 8 * q^2 - 8 * q^3 - 8 * q^5 - 16 * q^6 - 8 * q^7 - 8 * q^8	\( 368 q - 8 q^{2} - 8 q^{3} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 8 q^{8} - 8 q^{10} - 16 q^{11} + 24 q^{12} - 8 q^{13} + 32 q^{14} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 8 q^{20} - 16 q^{21} - 40 q^{22} - 8 q^{23} - 16 q^{24} - 8 q^{25} - 16 q^{26} - 8 q^{27} - 8 q^{28} - 72 q^{30} - 32 q^{31} - 8 q^{32} + 32 q^{34} - 8 q^{35} - 16 q^{36} - 8 q^{37} - 64 q^{38} - 112 q^{40} - 16 q^{41} - 8 q^{42} - 8 q^{43} - 32 q^{45} - 16 q^{46} - 16 q^{47} + 96 q^{48} + 96 q^{50} - 48 q^{51} - 8 q^{52} - 8 q^{53} - 8 q^{55} + 80 q^{56} - 8 q^{57} - 72 q^{58} - 64 q^{60} - 16 q^{61} - 24 q^{62} - 16 q^{65} + 80 q^{66} - 8 q^{67} + 80 q^{68} - 64 q^{69} - 8 q^{70} - 80 q^{71} - 128 q^{72} - 8 q^{73} - 8 q^{75} + 48 q^{76} - 8 q^{77} - 160 q^{78} + 32 q^{79} - 8 q^{80} - 16 q^{81} - 8 q^{82} - 8 q^{83} + 32 q^{85} - 16 q^{86} - 120 q^{87} + 80 q^{88} - 8 q^{90} - 16 q^{91} - 232 q^{92} - 32 q^{93} - 32 q^{94} - 16 q^{95} - 16 q^{96} - 48 q^{98} - 128 q^{99}+O(q^{100}) \) 368 * q - 8 * q^2 - 8 * q^3 - 8 * q^5 - 16 * q^6 - 8 * q^7 - 8 * q^8 - 8 * q^10 - 16 * q^11 + 24 * q^12 - 8 * q^13 + 32 * q^14 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 8 * q^20 - 16 * q^21 - 40 * q^22 - 8 * q^23 - 16 * q^24 - 8 * q^25 - 16 * q^26 - 8 * q^27 - 8 * q^28 - 72 * q^30 - 32 * q^31 - 8 * q^32 + 32 * q^34 - 8 * q^35 - 16 * q^36 - 8 * q^37 - 64 * q^38 - 112 * q^40 - 16 * q^41 - 8 * q^42 - 8 * q^43 - 32 * q^45 - 16 * q^46 - 16 * q^47 + 96 * q^48 + 96 * q^50 - 48 * q^51 - 8 * q^52 - 8 * q^53 - 8 * q^55 + 80 * q^56 - 8 * q^57 - 72 * q^58 - 64 * q^60 - 16 * q^61 - 24 * q^62 - 16 * q^65 + 80 * q^66 - 8 * q^67 + 80 * q^68 - 64 * q^69 - 8 * q^70 - 80 * q^71 - 128 * q^72 - 8 * q^73 - 8 * q^75 + 48 * q^76 - 8 * q^77 - 160 * q^78 + 32 * q^79 - 8 * q^80 - 16 * q^81 - 8 * q^82 - 8 * q^83 + 32 * q^85 - 16 * q^86 - 120 * q^87 + 80 * q^88 - 8 * q^90 - 16 * q^91 - 232 * q^92 - 32 * q^93 - 32 * q^94 - 16 * q^95 - 16 * q^96 - 48 * q^98 - 128 * q^99

Introduction

L-functions

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