LMFDB - Embedded newform 605.2.o.a.34.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [605,2,Mod(34,605)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(605, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 10]))

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

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

chi := DirichletCharacter("605.34");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 605 = 5 \cdot 11^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	605.o (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$4.83094932229$
Analytic rank:	$0$
Dimension:	$640$
Relative dimension:	$64$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			34.19
Character	$\chi$	$=$	605.34
Dual form			605.2.o.a.89.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.26524 + 0.181914i) q^{2} +1.21233i q^{3} +(-0.351241 + 0.103134i) q^{4} +(-1.93141 - 1.12680i) q^{5} +(-0.220541 - 1.53389i) q^{6} +(-0.377024 + 0.586661i) q^{7} +(2.75112 - 1.25640i) q^{8} +1.53025 q^{9} +O(q^{10})$	\(q+(-1.26524 + 0.181914i) q^{2} +1.21233i q^{3} +(-0.351241 + 0.103134i) q^{4} +(-1.93141 - 1.12680i) q^{5} +(-0.220541 - 1.53389i) q^{6} +(-0.377024 + 0.586661i) q^{7} +(2.75112 - 1.25640i) q^{8} +1.53025 q^{9} +(2.64868 + 1.07432i) q^{10} +(2.79679 + 1.78268i) q^{11} +(-0.125032 - 0.425821i) q^{12} +(0.0198482 + 0.0675968i) q^{13} +(0.370304 - 0.810854i) q^{14} +(1.36605 - 2.34151i) q^{15} +(-2.63637 + 1.69429i) q^{16} +(-3.52891 + 3.05782i) q^{17} +(-1.93614 + 0.278374i) q^{18} +(3.28380 - 3.78970i) q^{19} +(0.794601 + 0.196584i) q^{20} +(-0.711228 - 0.457078i) q^{21} +(-3.86292 - 1.74674i) q^{22} +(0.839018 + 1.30554i) q^{23} +(1.52317 + 3.33528i) q^{24} +(2.46066 + 4.35260i) q^{25} +(-0.0374096 - 0.0819156i) q^{26} +5.49217i q^{27} +(0.0719219 - 0.244943i) q^{28} +(-5.22339 + 6.02811i) q^{29} +(-1.30243 + 3.21108i) q^{30} +(-10.0394 - 2.94783i) q^{31} +(-1.54401 + 1.33789i) q^{32} +(-2.16120 + 3.39065i) q^{33} +(3.90867 - 4.51084i) q^{34} +(1.38923 - 0.708251i) q^{35} +(-0.537487 + 0.157820i) q^{36} +(-0.713824 + 2.43106i) q^{37} +(-3.46540 + 5.39226i) q^{38} +(-0.0819498 + 0.0240626i) q^{39} +(-6.72924 - 0.673343i) q^{40} +(0.288377 + 2.00570i) q^{41} +(0.983024 + 0.448932i) q^{42} +(3.06281 - 1.39874i) q^{43} +(-1.16620 - 0.337706i) q^{44} +(-2.95553 - 1.72428i) q^{45} +(-1.29906 - 1.49919i) q^{46} +(-5.12580 - 0.736979i) q^{47} +(-2.05404 - 3.19615i) q^{48} +(2.70588 + 5.92505i) q^{49} +(-3.90513 - 5.05946i) q^{50} +(-3.70709 - 4.27821i) q^{51} +(-0.0139430 - 0.0216958i) q^{52} +(4.46471 - 6.94722i) q^{53} +(-0.999104 - 6.94892i) q^{54} +(-3.39304 - 6.59449i) q^{55} +(-0.300161 + 2.08767i) q^{56} +(4.59438 + 3.98105i) q^{57} +(5.51225 - 8.57723i) q^{58} +(-1.22704 + 8.53422i) q^{59} +(-0.238325 + 0.963320i) q^{60} +(0.687783 - 4.78364i) q^{61} +(13.2385 + 1.90341i) q^{62} +(-0.576941 + 0.897737i) q^{63} +(5.81464 - 6.71045i) q^{64} +(0.0378328 - 0.152922i) q^{65} +(2.11763 - 4.68314i) q^{66} +(-8.76249 + 1.25986i) q^{67} +(0.924135 - 1.43798i) q^{68} +(-1.58274 + 1.01717i) q^{69} +(-1.62887 + 1.14883i) q^{70} +(-8.55029 + 9.86756i) q^{71} +(4.20991 - 1.92260i) q^{72} +(6.14795 + 9.56639i) q^{73} +(0.460915 - 3.20574i) q^{74} +(-5.27680 + 2.98314i) q^{75} +(-0.762559 + 1.66977i) q^{76} +(-2.10028 + 0.968658i) q^{77} +(0.0993089 - 0.0453529i) q^{78} +(-2.35062 + 5.14714i) q^{79} +(7.00101 - 0.301716i) q^{80} -2.06759 q^{81} +(-0.729733 - 2.48524i) q^{82} +(-8.44956 + 13.1478i) q^{83} +(0.296953 + 0.0871932i) q^{84} +(10.2613 - 1.92953i) q^{85} +(-3.62074 + 2.32691i) q^{86} +(-7.30808 - 6.33249i) q^{87} +(9.93408 + 1.39048i) q^{88} +(-6.42997 - 7.42058i) q^{89} +(4.05314 + 1.64398i) q^{90} +(-0.0471396 - 0.0138414i) q^{91} +(-0.429343 - 0.372028i) q^{92} +(3.57375 - 12.1711i) q^{93} +6.61945 q^{94} +(-10.6126 + 3.61929i) q^{95} +(-1.62197 - 1.87185i) q^{96} +(4.90210 - 2.23872i) q^{97} +(-4.50145 - 7.00439i) q^{98} +(4.27980 + 2.72794i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 640 q + 44 q^{4} - 7 q^{5} + 14 q^{6} - 644 q^{9}+O(q^{10}) $ 640 * q + 44 * q^4 - 7 * q^5 + 14 * q^6 - 644 * q^9	$ 640 q + 44 q^{4} - 7 q^{5} + 14 q^{6} - 644 q^{9} - 23 q^{10} + 4 q^{11} - 30 q^{14} + 18 q^{15} - 100 q^{16} - 6 q^{19} - 3 q^{20} + 32 q^{21} + 128 q^{24} - 15 q^{25} - 26 q^{26} - 10 q^{29} + 28 q^{30} - 18 q^{31} - 34 q^{34} - 29 q^{35} - 66 q^{36} + 44 q^{39} - 50 q^{40} - 34 q^{41} - 28 q^{44} - 43 q^{45} - 14 q^{46} + 102 q^{49} + 29 q^{50} - 148 q^{51} + 90 q^{54} - 102 q^{55} - 106 q^{56} - 34 q^{59} + 58 q^{60} - 42 q^{61} + 24 q^{64} + 22 q^{65} + 52 q^{66} + 20 q^{69} - 75 q^{70} + 54 q^{71} - 34 q^{74} - 4 q^{75} - 2 q^{76} + 50 q^{79} - 160 q^{80} + 560 q^{81} - 4 q^{84} - 57 q^{85} + 6 q^{86} - 128 q^{89} + 39 q^{90} - 80 q^{91} - 88 q^{94} + 65 q^{95} + 8 q^{96} - 266 q^{99}+O(q^{100}) $ 640 * q + 44 * q^4 - 7 * q^5 + 14 * q^6 - 644 * q^9 - 23 * q^10 + 4 * q^11 - 30 * q^14 + 18 * q^15 - 100 * q^16 - 6 * q^19 - 3 * q^20 + 32 * q^21 + 128 * q^24 - 15 * q^25 - 26 * q^26 - 10 * q^29 + 28 * q^30 - 18 * q^31 - 34 * q^34 - 29 * q^35 - 66 * q^36 + 44 * q^39 - 50 * q^40 - 34 * q^41 - 28 * q^44 - 43 * q^45 - 14 * q^46 + 102 * q^49 + 29 * q^50 - 148 * q^51 + 90 * q^54 - 102 * q^55 - 106 * q^56 - 34 * q^59 + 58 * q^60 - 42 * q^61 + 24 * q^64 + 22 * q^65 + 52 * q^66 + 20 * q^69 - 75 * q^70 + 54 * q^71 - 34 * q^74 - 4 * q^75 - 2 * q^76 + 50 * q^79 - 160 * q^80 + 560 * q^81 - 4 * q^84 - 57 * q^85 + 6 * q^86 - 128 * q^89 + 39 * q^90 - 80 * q^91 - 88 * q^94 + 65 * q^95 + 8 * q^96 - 266 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/605\mathbb{Z}\right)^\times$.

$n$	$122$	$486$
$\chi(n)$	$-1$	$e\left(\frac{5}{11}\right)$

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 $

$2$	−1.26524	+	0.181914i	−0.894661	+	0.128633i	−0.574283	−	0.818657i	$-0.694719\pi$
$2$	−1.26524	+	0.181914i	−0.894661	+	0.128633i	−0.320378	+	0.947290i	$0.603810\pi$
$3$			1.21233i			0.699940i	0.936761	+	0.349970i	$0.113808\pi$
$3$			1.21233i			0.699940i	−0.936761	+	0.349970i	$0.886192\pi$
$4$	−0.351241	+	0.103134i	−0.175621	+	0.0515669i
$5$	−1.93141	−	1.12680i	−0.863751	−	0.503918i
$5$	−1.93141	−	1.12680i	−0.863751	−	0.503918i
$6$	−0.220541	−	1.53389i	−0.0900354	−	0.626210i
$7$	−0.377024	+	0.586661i	−0.142502	+	0.221737i	−0.905167	−	0.425057i	$-0.860254\pi$
$7$	−0.377024	+	0.586661i	−0.142502	+	0.221737i	0.762665	+	0.646794i	$0.223890\pi$
$8$	2.75112	−	1.25640i	0.972669	−	0.444203i
$9$	1.53025			0.510083
$10$	2.64868	+	1.07432i	0.837585	+	0.339729i
$11$	2.79679	+	1.78268i	0.843265	+	0.537497i
$11$	2.79679	+	1.78268i	0.843265	+	0.537497i
$12$	−0.125032	−	0.425821i	−0.0360938	−	0.122924i
$13$	0.0198482	+	0.0675968i	0.00550490	+	0.0187480i	0.962200	−	0.272345i	$-0.0877992\pi$
$13$	0.0198482	+	0.0675968i	0.00550490	+	0.0187480i	−0.956695	+	0.291093i	$0.905981\pi$
$14$	0.370304	−	0.810854i	0.0989680	−	0.216710i
$15$	1.36605	−	2.34151i	0.352713	−	0.604575i
$16$	−2.63637	+	1.69429i	−0.659091	+	0.423572i
$17$	−3.52891	+	3.05782i	−0.855887	+	0.741630i	−0.967701	−	0.252099i	$-0.918879\pi$
$17$	−3.52891	+	3.05782i	−0.855887	+	0.741630i	0.111815	+	0.993729i	$0.464334\pi$
$18$	−1.93614	+	0.278374i	−0.456352	+	0.0656135i
$19$	3.28380	−	3.78970i	0.753355	−	0.869418i	−0.241534	−	0.970392i	$-0.577651\pi$
$19$	3.28380	−	3.78970i	0.753355	−	0.869418i	0.994889	+	0.100975i	$0.0321961\pi$
$20$	0.794601	+	0.196584i	0.177678	+	0.0439575i
$21$	−0.711228	−	0.457078i	−0.155203	−	0.0997427i
$22$	−3.86292	−	1.74674i	−0.823577	−	0.372406i
$23$	0.839018	+	1.30554i	0.174947	+	0.272223i	0.917643	−	0.397406i	$-0.130089\pi$
$23$	0.839018	+	1.30554i	0.174947	+	0.272223i	−0.742696	+	0.669629i	$0.766453\pi$
$24$	1.52317	+	3.33528i	0.310916	+	0.680810i
$25$	2.46066	+	4.35260i	0.492133	+	0.870520i
$26$	−0.0374096	−	0.0819156i	−0.00733663	−	0.0160650i
$27$			5.49217i			1.05697i
$28$	0.0719219	−	0.244943i	0.0135920	−	0.0462899i
$29$	−5.22339	+	6.02811i	−0.969959	+	1.11939i	0.0228563	+	0.999739i	$0.492724\pi$
$29$	−5.22339	+	6.02811i	−0.969959	+	1.11939i	−0.992816	+	0.119654i	$0.961821\pi$
$30$	−1.30243	+	3.21108i	−0.237790	+	0.586260i
$31$	−10.0394	−	2.94783i	−1.80313	−	0.529446i	−0.805154	−	0.593066i	$-0.797917\pi$
$31$	−10.0394	−	2.94783i	−1.80313	−	0.529446i	−0.997974	+	0.0636203i	$0.979735\pi$
$32$	−1.54401	+	1.33789i	−0.272944	+	0.236508i
$33$	−2.16120	+	3.39065i	−0.376216	+	0.590236i
$34$	3.90867	−	4.51084i	0.670331	−	0.773603i
$35$	1.38923	−	0.708251i	0.234823	−	0.119716i
$36$	−0.537487	+	0.157820i	−0.0895812	+	0.0263034i
$37$	−0.713824	+	2.43106i	−0.117352	+	0.399664i	−0.997129	−	0.0757226i	$-0.975874\pi$
$37$	−0.713824	+	2.43106i	−0.117352	+	0.399664i	0.879777	+	0.475387i	$0.157692\pi$
$38$	−3.46540	+	5.39226i	−0.562161	+	0.874740i
$39$	−0.0819498	+	0.0240626i	−0.0131225	+	0.00385310i
$40$	−6.72924	−	0.673343i	−1.06399	−	0.106465i
$41$	0.288377	+	2.00570i	0.0450369	+	0.313238i	0.999870	+	0.0160972i	$0.00512413\pi$
$41$	0.288377	+	2.00570i	0.0450369	+	0.313238i	−0.954834	+	0.297141i	$0.903967\pi$
$42$	0.983024	+	0.448932i	0.151684	+	0.0692717i
$43$	3.06281	−	1.39874i	0.467074	−	0.213306i	−0.167954	−	0.985795i	$-0.553716\pi$
$43$	3.06281	−	1.39874i	0.467074	−	0.213306i	0.635028	+	0.772489i	$0.280989\pi$
$44$	−1.16620	−	0.337706i	−0.175812	−	0.0509111i
$45$	−2.95553	−	1.72428i	−0.440585	−	0.257040i
$46$	−1.29906	−	1.49919i	−0.191535	−	0.221044i
$47$	−5.12580	−	0.736979i	−0.747675	−	0.107499i	−0.242063	−	0.970260i	$-0.577824\pi$
$47$	−5.12580	−	0.736979i	−0.747675	−	0.107499i	−0.505612	+	0.862761i	$0.668733\pi$
$48$	−2.05404	−	3.19615i	−0.296475	−	0.461325i
$49$	2.70588	+	5.92505i	0.386554	+	0.846436i
$50$	−3.90513	−	5.05946i	−0.552269	−	0.715516i
$51$	−3.70709	−	4.27821i	−0.519097	−	0.599070i
$52$	−0.0139430	−	0.0216958i	−0.00193355	−	0.00300866i
$53$	4.46471	−	6.94722i	0.613275	−	0.954274i	−0.386218	−	0.922408i	$-0.626219\pi$
$53$	4.46471	−	6.94722i	0.613275	−	0.954274i	0.999492	−	0.0318661i	$-0.0101450\pi$
$54$	−0.999104	−	6.94892i	−0.135961	−	0.945629i
$55$	−3.39304	−	6.59449i	−0.457517	−	0.889201i
$56$	−0.300161	+	2.08767i	−0.0401107	+	0.278976i
$57$	4.59438	+	3.98105i	0.608541	+	0.527303i
$58$	5.51225	−	8.57723i	0.723794	−	1.12625i
$59$	−1.22704	+	8.53422i	−0.159746	+	1.11106i	0.739353	+	0.673317i	$0.235131\pi$
$59$	−1.22704	+	8.53422i	−0.159746	+	1.11106i	−0.899100	+	0.437743i	$0.855778\pi$
$60$	−0.238325	+	0.963320i	−0.0307677	+	0.124364i
$61$	0.687783	−	4.78364i	0.0880616	−	0.612482i	−0.897225	−	0.441573i	$-0.854421\pi$
$61$	0.687783	−	4.78364i	0.0880616	−	0.612482i	0.985287	−	0.170909i	$-0.0546704\pi$
$62$	13.2385	+	1.90341i	1.68129	+	0.241733i
$63$	−0.576941	+	0.897737i	−0.0726877	+	0.113104i
$64$	5.81464	−	6.71045i	0.726830	−	0.838806i
$65$	0.0378328	−	0.152922i	0.00469258	−	0.0189676i
$66$	2.11763	−	4.68314i	0.260662	−	0.576455i
$67$	−8.76249	+	1.25986i	−1.07051	+	0.153916i	−0.654966	−	0.755658i	$-0.727317\pi$
$67$	−8.76249	+	1.25986i	−1.07051	+	0.153916i	−0.415542	+	0.909574i	$0.636408\pi$
$68$	0.924135	−	1.43798i	0.112068	−	0.174381i
$69$	−1.58274	+	1.01717i	−0.190540	+	0.122453i
$70$	−1.62887	+	1.14883i	−0.194688	+	0.137312i
$71$	−8.55029	+	9.86756i	−1.01473	+	1.17106i	−0.0295482	+	0.999563i	$0.509407\pi$
$71$	−8.55029	+	9.86756i	−1.01473	+	1.17106i	−0.985184	+	0.171500i	$0.945139\pi$
$72$	4.20991	−	1.92260i	0.496142	−	0.226581i
$73$	6.14795	+	9.56639i	0.719563	+	1.11966i	0.987712	+	0.156284i	$0.0499515\pi$
$73$	6.14795	+	9.56639i	0.719563	+	1.11966i	−0.268150	+	0.963377i	$0.586412\pi$
$74$	0.460915	−	3.20574i	0.0535803	−	0.372659i
$75$	−5.27680	+	2.98314i	−0.609312	+	0.344464i
$76$	−0.762559	+	1.66977i	−0.0874715	+	0.191536i
$77$	−2.10028	+	0.968658i	−0.239350	+	0.110389i
$78$	0.0993089	−	0.0453529i	0.0112445	−	0.00513520i
$79$	−2.35062	+	5.14714i	−0.264466	+	0.579099i	−0.994550	−	0.104258i	$-0.966753\pi$
$79$	−2.35062	+	5.14714i	−0.264466	+	0.579099i	0.730085	+	0.683357i	$0.239481\pi$
$80$	7.00101	−	0.301716i	0.782737	−	0.0337329i
$81$	−2.06759			−0.229732
$82$	−0.729733	−	2.48524i	−0.0805855	−	0.274449i
$83$	−8.44956	+	13.1478i	−0.927460	+	1.44316i	−0.0312575	+	0.999511i	$0.509951\pi$
$83$	−8.44956	+	13.1478i	−0.927460	+	1.44316i	−0.896203	+	0.443645i	$0.853685\pi$
$84$	0.296953	+	0.0871932i	0.0324002	+	0.00951356i
$85$	10.2613	−	1.92953i	1.11299	−	0.209287i
$86$	−3.62074	+	2.32691i	−0.390435	+	0.250917i
$87$	−7.30808	−	6.33249i	−0.783508	−	0.678914i
$88$	9.93408	+	1.39048i	1.05898	+	0.148226i
$89$	−6.42997	−	7.42058i	−0.681576	−	0.786580i	0.304565	−	0.952492i	$-0.401489\pi$
$89$	−6.42997	−	7.42058i	−0.681576	−	0.786580i	−0.986141	+	0.165911i	$0.946943\pi$
$90$	4.05314	+	1.64398i	0.427238	+	0.173290i
$91$	−0.0471396	−	0.0138414i	−0.00494157	−	0.00145098i
$92$	−0.429343	−	0.372028i	−0.0447621	−	0.0387866i
$93$	3.57375	−	12.1711i	0.370581	−	1.26208i
$94$	6.61945			0.682744
$95$	−10.6126	+	3.61929i	−1.08883	+	0.371331i
$96$	−1.62197	−	1.87185i	−0.165541	−	0.191045i
$97$	4.90210	−	2.23872i	0.497733	−	0.227307i	−0.150699	−	0.988580i	$-0.548152\pi$
$97$	4.90210	−	2.23872i	0.497733	−	0.227307i	0.648432	+	0.761273i	$0.275425\pi$
$98$	−4.50145	−	7.00439i	−0.454715	−	0.707550i
$99$	4.27980	+	2.72794i	0.430136	+	0.274168i
$100$	−1.31319	−	1.27504i	−0.131319	−	0.127504i
$101$	−2.81178	+	19.5563i	−0.279782	+	1.94593i	0.0420060	+	0.999117i	$0.486625\pi$
$101$	−2.81178	+	19.5563i	−0.279782	+	1.94593i	−0.321788	+	0.946812i	$0.604284\pi$
$102$	5.46864	+	4.73860i	0.541476	+	0.469192i
$103$	16.5252	−	2.37596i	1.62828	−	0.234111i	0.733196	−	0.680017i	$-0.238028\pi$
$103$	16.5252	−	2.37596i	1.62828	−	0.234111i	0.895080	+	0.445906i	$0.147119\pi$
$104$	0.139533	+	0.161030i	0.0136823	+	0.0157903i
$105$	0.858636	+	1.68421i	0.0837943	+	0.164362i
$106$	−4.38514	+	9.60211i	−0.425922	+	0.932639i
$107$	16.2177	+	7.40636i	1.56782	+	0.716000i	0.994637	−	0.103427i	$-0.0329809\pi$
$107$	16.2177	+	7.40636i	1.56782	+	0.716000i	0.573184	+	0.819427i	$0.305708\pi$
$108$	−0.566428	−	1.92908i	−0.0545046	−	0.185626i
$109$	−1.84486	+	0.541700i	−0.176706	+	0.0518854i	−0.368888	−	0.929474i	$-0.620262\pi$
$109$	−1.84486	+	0.541700i	−0.176706	+	0.0518854i	0.192183	+	0.981359i	$0.438443\pi$
$110$	5.49264	+	7.72639i	0.523703	+	0.736682i
$111$	−2.94726	−	0.865392i	−0.279741	−	0.0821394i
$112$		−	2.18544i		−	0.206505i
$113$	5.83716	−	2.66574i	0.549114	−	0.250772i	−0.121483	−	0.992593i	$-0.538765\pi$
$113$	5.83716	−	2.66574i	0.549114	−	0.250772i	0.670597	+	0.741822i	$0.266038\pi$
$114$	−6.53721	−	4.20121i	−0.612266	−	0.393480i
$115$	−0.149411	−	3.46692i	−0.0139326	−	0.323292i
$116$	1.21297	−	2.65603i	0.112621	−	0.246606i
$117$	0.0303727	+	0.103440i	0.00280796	+	0.00956303i
$118$		−	11.0211i		−	1.01457i
$119$	−0.463418	−	3.22314i	−0.0424815	−	0.295465i
$120$	0.816315	−	8.15807i	0.0745190	−	0.744727i
$121$	4.64412	+	9.97157i	0.422193	+	0.906506i
$122$			6.17758i			0.559292i
$123$	−2.43158	+	0.349609i	−0.219248	+	0.0315231i
$124$	3.83027			0.343968
$125$	0.151952	−	11.1793i	0.0135910	−	0.999908i
$126$	0.566658	−	1.24081i	0.0504819	−	0.110540i
$127$	6.72720	−	0.967225i	0.596942	−	0.0858274i	0.162781	−	0.986662i	$-0.447954\pi$
$127$	6.72720	−	0.967225i	0.596942	−	0.0858274i	0.434162	+	0.900835i	$0.357045\pi$
$128$	−3.92712	+	6.11072i	−0.347112	+	0.540117i
$129$	1.69574	+	3.71314i	0.149301	+	0.326924i
$130$	−0.0200490	+	0.200365i	−0.00175841	+	0.0175732i
$131$	−11.1017	−	3.25974i	−0.969957	−	0.284805i	−0.241885	−	0.970305i	$-0.577766\pi$
$131$	−11.1017	−	3.25974i	−0.969957	−	0.284805i	−0.728073	+	0.685500i	$0.759584\pi$
$132$	0.409412	−	1.41383i	0.0356347	−	0.123058i
$133$	0.985200	+	3.35528i	0.0854277	+	0.290940i
$134$	10.8575	−	3.18804i	0.937943	−	0.275405i
$135$	6.18855	−	10.6076i	0.532626	−	0.912958i
$136$	−5.86664	+	12.8461i	−0.503060	+	1.10155i
$137$	−9.96365	−	15.5037i	−0.851252	−	1.32457i	−0.944358	−	0.328918i	$-0.893316\pi$
$137$	−9.96365	−	15.5037i	−0.851252	−	1.32457i	0.0931061	−	0.995656i	$-0.470320\pi$
$138$	1.81752	−	1.57489i	0.154717	−	0.134063i
$139$	−1.20253	−	8.36381i	−0.101998	−	0.709409i	−0.975083	−	0.221841i	$-0.928793\pi$
$139$	−1.20253	−	8.36381i	−0.101998	−	0.709409i	0.873085	−	0.487568i	$-0.162116\pi$
$140$	−0.414912	+	0.392044i	−0.0350664	+	0.0331338i
$141$	0.893464	−	6.21418i	0.0752432	−	0.523328i
$142$	9.02313	−	14.0403i	0.757204	−	1.17823i
$143$	−0.0649919	+	0.224437i	−0.00543489	+	0.0187684i
$144$	−4.03430	+	2.59269i	−0.336191	+	0.216057i
$145$	16.8809	−	5.75705i	1.40189	−	0.478097i
$146$	−9.51890	−	10.9854i	−0.787790	−	0.909158i
$147$	−7.18314	+	3.28043i	−0.592455	+	0.270565i
$148$		−	0.927509i		−	0.0762408i
$149$	1.96229	+	0.576182i	0.160757	+	0.0472026i	0.361121	−	0.932519i	$-0.382394\pi$
$149$	1.96229	+	0.576182i	0.160757	+	0.0472026i	−0.200364	+	0.979722i	$0.564212\pi$
$150$	6.13375	−	4.73432i	0.500819	−	0.386556i
$151$	6.98320	+	2.05045i	0.568285	+	0.166863i	0.553238	−	0.833023i	$-0.313392\pi$
$151$	6.98320	+	2.05045i	0.568285	+	0.166863i	0.0150468	+	0.999887i	$0.495210\pi$
$152$	4.27276	−	14.5517i	0.346567	−	1.18030i
$153$	−5.40012	+	4.67923i	−0.436573	+	0.378293i
$154$	2.48116	−	1.60766i	0.199937	−	0.129549i
$155$	16.0685	+	17.0058i	1.29066	+	1.36594i
$156$	0.0263025	−	0.0169036i	0.00210588	−	0.00135337i
$157$	−2.17391	−	7.40366i	−0.173497	−	0.590877i	−0.999625	−	0.0273937i	$-0.991279\pi$
$157$	−2.17391	−	7.40366i	−0.173497	−	0.590877i	0.826128	−	0.563483i	$-0.190539\pi$
$158$	2.03777	−	6.93999i	0.162116	−	0.552116i
$159$	8.42234	+	5.41271i	0.667935	+	0.429256i
$160$	4.48963	−	0.844228i	0.354937	−	0.0667421i
$161$	−1.08224			−0.0852922
$162$	2.61600	−	0.376123i	0.205532	−	0.0295511i
$163$	−7.53046	−	3.43904i	−0.589831	−	0.269367i	0.0980604	−	0.995180i	$-0.468736\pi$
$163$	−7.53046	−	3.43904i	−0.589831	−	0.269367i	−0.687891	+	0.725814i	$0.741463\pi$
$164$	−0.308146	−	0.674745i	−0.0240621	−	0.0526887i
$165$	7.99472	−	4.11349i	0.622388	−	0.320235i
$166$	8.29897	−	18.1722i	0.644125	−	1.41044i
$167$	−13.6335	+	11.8135i	−1.05499	+	0.914154i	−0.996455	−	0.0841317i	$-0.973188\pi$
$167$	−13.6335	+	11.8135i	−1.05499	+	0.914154i	−0.0585349	+	0.998285i	$0.518643\pi$
$168$	−2.53095	−	0.363895i	−0.195267	−	0.0280751i
$169$	10.9321	−	7.02565i	0.840932	−	0.540434i
$170$	−12.6320	+	4.30800i	−0.968832	+	0.330408i
$171$	5.02503	−	5.79919i	0.384274	−	0.443475i
$172$	−0.931528	+	0.807174i	−0.0710284	+	0.0615464i
$173$	5.56607	+	8.66097i	0.423180	+	0.658481i	0.985740	−	0.168275i	$-0.0538197\pi$
$173$	5.56607	+	8.66097i	0.423180	+	0.658481i	−0.562560	+	0.826757i	$0.690183\pi$
$174$	10.3985	+	6.68268i	0.788305	+	0.506613i
$175$	−3.48123	−	0.197461i	−0.263156	−	0.0149266i
$176$	−10.3937	+	0.0387909i	−0.783458	+	0.00292398i
$177$	−10.3463	−	1.48758i	−0.777677	−	0.111813i
$178$	9.48538	+	8.21913i	0.710959	+	0.616050i
$179$	1.17654	+	0.756114i	0.0879384	+	0.0565146i	0.583871	−	0.811846i	$-0.301537\pi$
$179$	1.17654	+	0.756114i	0.0879384	+	0.0565146i	−0.495933	+	0.868361i	$0.665174\pi$
$180$	1.21594	+	0.300823i	0.0906306	+	0.0224220i
$181$	0.647552	−	4.50382i	0.0481321	−	0.334766i	−0.951500	−	0.307648i	$-0.900458\pi$
$181$	0.647552	−	4.50382i	0.0481321	−	0.334766i	0.999632	−	0.0271180i	$-0.00863298\pi$
$182$	0.0621610	+	0.00893740i	0.00460768	+	0.000662484i
$183$	5.79936	+	0.833822i	0.428701	+	0.0616379i
$184$	3.94851	+	2.53755i	0.291088	+	0.187071i
$185$	4.11800	−	3.89104i	0.302761	−	0.286075i
$186$	−2.30757	+	16.0495i	−0.169199	+	1.17680i
$187$	−15.3207	+	2.26118i	−1.12036	+	0.165354i
$188$	1.87640	−	0.269786i	0.136851	−	0.0196761i
$189$	−3.22204	−	2.07068i	−0.234369	−	0.150620i
$190$	12.7691	−	6.50986i	0.926365	−	0.472275i
$191$	−15.0268	−	17.3419i	−1.08730	−	1.25481i	−0.964980	−	0.262323i	$-0.915511\pi$
$191$	−15.0268	−	17.3419i	−1.08730	−	1.25481i	−0.122322	−	0.992490i	$-0.539034\pi$
$192$	8.13529	+	7.04927i	0.587114	+	0.508737i
$193$	1.79767	−	0.820968i	0.129399	−	0.0590946i	−0.349663	−	0.936875i	$-0.613704\pi$
$193$	1.79767	−	0.820968i	0.129399	−	0.0590946i	0.479062	+	0.877781i	$0.340977\pi$
$194$	−5.79509	+	3.72428i	−0.416063	+	0.267388i
$195$	0.185392	+	0.0458659i	0.0132762	+	0.00328453i
$196$	−1.56149	−	1.80206i	−0.111535	−	0.128718i
$197$	4.65065	+	2.12388i	0.331345	+	0.151320i	0.574140	−	0.818757i	$-0.305337\pi$
$197$	4.65065	+	2.12388i	0.331345	+	0.151320i	−0.242794	+	0.970078i	$0.578064\pi$
$198$	−5.91123	−	2.67295i	−0.420093	−	0.189958i
$199$	−5.72181	−	12.5290i	−0.405608	−	0.888158i	−0.996671	−	0.0815321i	$-0.974019\pi$
$199$	−5.72181	−	12.5290i	−0.405608	−	0.888158i	0.591063	−	0.806626i	$-0.298709\pi$
$200$	12.2382	+	8.88298i	0.865370	+	0.628121i
$201$	−1.52736	−	10.6230i	−0.107732	−	0.749292i
$202$		−	25.2550i		−	1.77694i
$203$	−1.56711	−	5.33710i	−0.109990	−	0.374591i
$204$	1.74331	+	1.12036i	0.122056	+	0.0784408i
$205$	1.70305	−	4.19877i	0.118946	−	0.293255i
$206$	−20.4762	+	6.01234i	−1.42664	+	0.418900i
$207$	1.28391	+	1.99780i	0.0892377	+	0.138857i
$208$	−0.166856	−	0.144581i	−0.0115694	−	0.0100249i
$209$	15.9399	−	4.74507i	1.10259	−	0.328224i
$210$	−1.39276	−	1.97474i	−0.0961099	−	0.136270i
$211$	8.83352	+	2.59376i	0.608125	+	0.178562i	0.571274	−	0.820759i	$-0.306449\pi$
$211$	8.83352	+	2.59376i	0.608125	+	0.178562i	0.0368506	+	0.999321i	$0.488267\pi$
$212$	−0.851697	+	2.90061i	−0.0584948	+	0.199215i
$213$	−11.9628	−	10.3658i	−0.819675	−	0.710252i
$214$	−21.8666	−	6.42061i	−1.49477	−	0.438904i
$215$	−7.49162	−	0.749628i	−0.510924	−	0.0511242i
$216$	6.90034	+	15.1096i	0.469509	+	1.02808i
$217$	5.51447	−	4.77831i	0.374346	−	0.324373i
$218$	2.23565	−	1.02099i	0.151417	−	0.0691500i
$219$	−11.5976	+	7.45335i	−0.783696	+	0.503651i
$220$	1.87189	+	1.96632i	0.126203	+	0.132569i
$221$	−0.276741	−	0.177851i	−0.0186156	−	0.0119635i
$222$	3.88642	+	0.558783i	0.260839	+	0.0375030i
$223$	13.2659	+	11.4950i	0.888350	+	0.769760i	0.973996	−	0.226566i	$-0.0727498\pi$
$223$	13.2659	+	11.4950i	0.888350	+	0.769760i	−0.0856454	+	0.996326i	$0.527295\pi$
$224$	−0.202760	−	1.41022i	−0.0135474	−	0.0942246i
$225$	3.76543	+	6.66057i	0.251029	+	0.444038i
$226$	−6.90049	+	4.43467i	−0.459013	+	0.294990i
$227$	−4.92827	−	2.25066i	−0.327101	−	0.149382i	0.245095	−	0.969499i	$-0.421181\pi$
$227$	−4.92827	−	2.25066i	−0.327101	−	0.149382i	−0.572196	+	0.820117i	$0.693908\pi$
$228$	−2.02432	−	0.924475i	−0.134064	−	0.0612248i
$229$	−24.1260	+	7.08404i	−1.59429	+	0.468126i	−0.953950	−	0.299964i	$-0.903025\pi$
$229$	−24.1260	+	7.08404i	−1.59429	+	0.468126i	−0.640341	+	0.768091i	$0.721207\pi$
$230$	0.819724	+	4.35932i	0.0540510	+	0.287445i
$231$	−1.17434	−	2.54624i	−0.0772656	−	0.167531i
$232$	−6.79649	+	23.1467i	−0.446212	+	1.51966i
$233$			0.0997620i			0.00653563i	0.999995	+	0.00326781i	$0.00104018\pi$
$233$			0.0997620i			0.00653563i	−0.999995	+	0.00326781i	$0.998960\pi$
$234$	−0.0572460	−	0.125351i	−0.00374229	−	0.00819447i
$235$	9.06958	+	7.19914i	0.591634	+	0.469620i
$236$	−0.449181	−	3.12412i	−0.0292392	−	0.203363i
$237$	−6.24005	−	2.84973i	−0.405335	−	0.185110i
$238$	1.17267	+	3.99375i	0.0760130	+	0.258877i
$239$	12.3427			0.798383			0.399191	−	0.916868i	$-0.369291\pi$
$239$	12.3427			0.798383			0.399191	+	0.916868i	$0.369291\pi$
$240$	0.365780	+	8.48755i	0.0236110	+	0.547869i
$241$	−5.52558			−0.355934			−0.177967	−	0.984036i	$-0.556952\pi$
$241$	−5.52558			−0.355934			−0.177967	+	0.984036i	$0.556952\pi$
$242$	−7.68991	−	11.7716i	−0.494326	−	0.756708i
$243$			13.9699i			0.896170i
$244$	0.251777	+	1.75115i	0.0161184	+	0.112106i
$245$	1.45017	−	14.4927i	0.0926478	−	0.925902i
$246$	3.01294	−	0.884679i	0.192098	−	0.0564051i
$247$	0.321349	+	0.146755i	0.0204470	+	0.00933781i
$248$	−31.3232	+	4.50360i	−1.98903	+	0.285979i
$249$	−15.9395	−	10.2437i	−1.01012	−	0.649167i
$250$	1.84142	+	14.1722i	0.116462	+	0.896327i
$251$	7.63352			0.481824			0.240912	−	0.970547i	$-0.422554\pi$
$251$	7.63352			0.481824			0.240912	+	0.970547i	$0.422554\pi$
$252$	0.110058	−	0.374825i	0.00693303	−	0.0236117i
$253$	0.0192094	+	5.14702i	0.00120769	+	0.323590i
$254$	−8.33558	+	2.44755i	−0.523021	+	0.153573i
$255$	2.33923	+	12.4401i	0.146488	+	0.779030i
$256$	−3.51997	+	7.70766i	−0.219998	+	0.481729i
$257$	4.40827	+	2.01319i	0.274980	+	0.125579i	0.548132	−	0.836392i	$-0.315339\pi$
$257$	4.40827	+	2.01319i	0.274980	+	0.125579i	−0.273152	+	0.961971i	$0.588066\pi$
$258$	−2.82099	−	4.38955i	−0.175627	−	0.273281i
$259$	−1.15708	−	1.33534i	−0.0718974	−	0.0829741i
$260$	0.00248295	+	0.0576143i	0.000153986	+	0.00357309i
$261$	−7.99309	+	9.22452i	−0.494760	+	0.570984i
$262$	14.6393	+	2.10481i	0.904418	+	0.130036i
$263$	−4.93842	+	7.68434i	−0.304516	+	0.473837i	−0.959461	−	0.281840i	$-0.909055\pi$
$263$	−4.93842	+	7.68434i	−0.304516	+	0.473837i	0.654945	+	0.755676i	$0.272692\pi$
$264$	−1.68573	+	12.0434i	−0.103749	+	0.741220i
$265$	−16.4513	+	8.38709i	−1.01059	+	0.515215i
$266$	−1.85689	−	4.06602i	−0.113853	−	0.249304i
$267$	8.99621	−	7.79526i	0.550559	−	0.477062i
$268$	2.94781	−	1.34622i	0.180066	−	0.0822336i
$269$	25.3545			1.54589			0.772944	−	0.634474i	$-0.218783\pi$
$269$	25.3545			1.54589			0.772944	+	0.634474i	$0.218783\pi$
$270$	−5.90034	+	14.5470i	−0.359083	+	0.885301i
$271$	9.47029	−	10.9293i	0.575279	−	0.663907i	−0.391304	−	0.920261i	$-0.627976\pi$
$271$	9.47029	−	10.9293i	0.575279	−	0.663907i	0.966583	+	0.256354i	$0.0825214\pi$
$272$	4.12267	−	14.0405i	0.249974	−	0.851332i
$273$	0.0167804	−	0.0571489i	0.00101560	−	0.00345881i
$274$	15.4268	+	17.8035i	0.931966	+	1.07555i
$275$	−0.877314	+	16.5599i	−0.0529040	+	0.998600i
$276$	0.451021	−	0.520506i	0.0271483	−	0.0313308i
$277$	7.70173	+	11.9841i	0.462752	+	0.720056i	0.991696	−	0.128600i	$-0.0410485\pi$
$277$	7.70173	+	11.9841i	0.462752	+	0.720056i	−0.528945	+	0.848656i	$0.677412\pi$
$278$	3.04299	+	10.3635i	0.182507	+	0.621561i
$279$	−15.3628	−	4.51092i	−0.919745	−	0.270062i
$280$	2.93211	−	3.69391i	0.175227	−	0.220754i
$281$	23.5020	−	6.90080i	1.40201	−	0.411667i	0.508636	−	0.860982i	$-0.330150\pi$
$281$	23.5020	−	6.90080i	1.40201	−	0.411667i	0.893374	+	0.449314i	$0.148332\pi$
$282$			8.02497i			0.477880i
$283$	20.7020	−	2.97649i	1.23060	−	0.176934i	0.503825	−	0.863806i	$-0.331926\pi$
$283$	20.7020	−	2.97649i	1.23060	−	0.176934i	0.726779	+	0.686871i	$0.241016\pi$
$284$	1.98554	−	4.34772i	0.117820	−	0.257990i
$285$	−4.38778	−	12.8660i	−0.259910	−	0.762114i
$286$	0.0414021	−	0.295790i	0.00244816	−	0.0174905i
$287$	−1.28539	−	0.587019i	−0.0758743	−	0.0346507i
$288$	−2.36272	+	2.04731i	−0.139224	+	0.120639i
$289$	0.683605	−	4.75458i	0.0402120	−	0.279681i
$290$	−20.3112	+	10.3549i	−1.19271	+	0.608063i
$291$	2.71407	+	5.94298i	0.159101	+	0.348384i
$292$	−3.14603	−	2.72605i	−0.184108	−	0.159530i
$293$	−21.6163	+	18.7306i	−1.26284	+	1.09426i	−0.271567	+	0.962419i	$0.587542\pi$
$293$	−21.6163	+	18.7306i	−1.26284	+	1.09426i	−0.991271	+	0.131837i	$0.957913\pi$
$294$	8.49165	−	5.45725i	0.495243	−	0.318273i
$295$	11.9862	−	15.1004i	0.697865	−	0.879181i
$296$	1.09056	+	7.58500i	0.0633874	+	0.440869i
$297$	−9.79076	+	15.3605i	−0.568118	+	0.891305i
$298$	−2.58759	−	0.372040i	−0.149895	−	0.0215517i
$299$	−0.0715971	+	0.0826274i	−0.00414057	+	0.00477847i
$300$	1.54577	−	1.59202i	0.0892450	−	0.0919153i
$301$	−0.334168	+	2.32419i	−0.0192611	+	0.133964i
$302$	−9.20844	−	1.32397i	−0.529886	−	0.0761862i
$303$	−23.7088	−	3.40881i	−1.36203	−	0.195831i
$304$	−2.23643	+	15.5547i	−0.128268	+	0.892126i
$305$	−6.71857	+	8.46416i	−0.384704	+	0.484656i
$306$	5.98123	−	6.90271i	0.341924	−	0.394602i
$307$	−31.0637	−	4.46629i	−1.77290	−	0.254905i	−0.823131	−	0.567852i	$-0.807775\pi$
$307$	−31.0637	−	4.46629i	−1.77290	−	0.254905i	−0.949770	+	0.312947i	$0.898684\pi$
$308$	0.637806	−	0.556843i	0.0363424	−	0.0317291i
$309$	2.88046	+	20.0340i	0.163864	+	1.13970i
$310$	−23.4242	−	18.5934i	−1.33040	−	1.05603i
$311$	−3.19389	+	2.05259i	−0.181109	+	0.116392i	−0.628054	−	0.778170i	$-0.716148\pi$
$311$	−3.19389	+	2.05259i	−0.181109	+	0.116392i	0.446945	+	0.894561i	$0.352512\pi$
$312$	−0.195222	+	0.169161i	−0.0110523	+	0.00957683i
$313$	−21.1719	−	18.3456i	−1.19671	−	1.03695i	−0.998385	−	0.0568173i	$-0.981905\pi$
$313$	−21.1719	−	18.3456i	−1.19671	−	1.03695i	−0.198324	−	0.980137i	$-0.563550\pi$
$314$	4.09736	+	8.97196i	0.231227	+	0.506317i
$315$	2.12587	−	1.08380i	0.119779	−	0.0610653i
$316$	0.294791	−	2.05032i	0.0165833	−	0.115339i
$317$	5.31085	−	4.60188i	0.298287	−	0.258467i	−0.492839	−	0.870121i	$-0.664041\pi$
$317$	5.31085	−	4.60188i	0.298287	−	0.258467i	0.791126	+	0.611653i	$0.209495\pi$
$318$	−11.6409	−	5.31624i	−0.652792	−	0.298120i
$319$	−25.3549	+	7.54778i	−1.41960	+	0.422595i
$320$	−18.7917	+	6.40870i	−1.05049	+	0.358257i
$321$	−8.97897	+	19.6612i	−0.501157	+	1.09738i
$322$	1.36929	−	0.196874i	0.0763076	−	0.0109714i
$323$			23.4148i			1.30283i
$324$	0.726222	−	0.213238i	0.0403456	−	0.0118466i
$325$	−0.245382	+	0.252724i	−0.0136113	+	0.0140186i
$326$	10.1535	+	2.98133i	0.562348	+	0.165120i
$327$	−0.656720	−	2.23658i	−0.0363167	−	0.123683i
$328$	3.31332	+	5.15563i	0.182947	+	0.284672i
$329$	2.36491	−	2.72925i	0.130382	−	0.150468i
$330$	−9.36695	+	6.65891i	−0.515634	+	0.366561i
$331$	0.377040	+	0.435128i	0.0207240	+	0.0239168i	0.766017	−	0.642820i	$-0.222236\pi$
$331$	0.377040	+	0.435128i	0.0207240	+	0.0239168i	−0.745293	+	0.666737i	$0.767690\pi$
$332$	1.61186	−	5.48948i	0.0884621	−	0.301274i
$333$	−1.09233	+	3.72013i	−0.0598593	+	0.203862i
$334$	15.1006	−	17.4270i	0.826268	−	0.953564i
$335$	18.3435	+	7.44024i	1.00221	+	0.406504i
$336$	2.64948			0.144541
$337$	17.9734	−	8.20818i	0.979073	−	0.447128i	0.139410	−	0.990235i	$-0.455479\pi$
$337$	17.9734	−	8.20818i	0.979073	−	0.447128i	0.839664	+	0.543107i	$0.182752\pi$
$338$	−12.5537	+	10.8779i	−0.682832	+	0.591677i
$339$	3.23177	+	7.07658i	0.175525	+	0.384347i
$340$	−3.40519	+	1.73602i	−0.184673	+	0.0941488i
$341$	−22.8231	−	26.1415i	−1.23594	−	1.41564i
$342$	−5.30292	+	8.25151i	−0.286749	+	0.446190i
$343$	−9.32804	−	1.34117i	−0.503667	−	0.0724164i
$344$	6.66880	−	7.69620i	0.359557	−	0.414951i
$345$	4.20307	−	0.181136i	0.226285	−	0.00975201i
$346$	−8.61798	−	9.94568i	−0.463305	−	0.534683i
$347$	10.9527	+	17.0427i	0.587971	+	0.914900i	0.999993	+	0.00372665i	$0.00118623\pi$
$347$	10.9527	+	17.0427i	0.587971	+	0.914900i	−0.412022	+	0.911174i	$0.635177\pi$
$348$	3.21999	+	1.47052i	0.172610	+	0.0788282i
$349$	−2.92788	+	6.41117i	−0.156726	+	0.343182i	−0.971664	−	0.236366i	$-0.924044\pi$
$349$	−2.92788	+	6.41117i	−0.156726	+	0.343182i	0.814938	+	0.579548i	$0.196771\pi$
$350$	4.44052	−	0.383450i	0.237356	−	0.0204963i
$351$	−0.371253	+	0.109010i	−0.0198160	+	0.00581851i
$352$	−6.70330	+	0.989337i	−0.357287	+	0.0527318i
$353$	7.86238	−	26.7768i	0.418472	−	1.42519i	−0.433289	−	0.901255i	$-0.642647\pi$
$353$	7.86238	−	26.7768i	0.418472	−	1.42519i	0.851761	−	0.523930i	$-0.175535\pi$
$354$	13.3612			0.710140
$355$	27.6328	−	9.42384i	1.46660	−	0.500165i
$356$	3.02378	+	1.94327i	0.160260	+	0.102993i
$357$	3.90752	−	0.561817i	0.206808	−	0.0297345i
$358$	−1.62615	−	0.742638i	−0.0859447	−	0.0392497i
$359$	22.1038	−	6.49026i	1.16659	−	0.342543i	0.359602	−	0.933106i	$-0.382912\pi$
$359$	22.1038	−	6.49026i	1.16659	−	0.342543i	0.806992	+	0.590563i	$0.201094\pi$
$360$	−10.2974	−	1.03038i	−0.542722	−	0.0543059i
$361$	−0.874549	−	6.08262i	−0.0460289	−	0.320138i
$362$			5.81622i			0.305694i
$363$	−12.0889	+	5.63022i	−0.634500	+	0.295510i
$364$	0.0179849			0.000942665
$365$	−1.09482	−	25.4041i	−0.0573053	−	1.32971i
$366$	−7.48928			−0.391471
$367$	−2.80271	−	9.54515i	−0.146300	−	0.498253i	0.853437	−	0.521197i	$-0.174514\pi$
$367$	−2.80271	−	9.54515i	−0.146300	−	0.498253i	−0.999737	+	0.0229441i	$0.992696\pi$
$368$	−4.42391	−	2.02033i	−0.230612	−	0.105317i
$369$	0.441289	+	3.06923i	0.0229726	+	0.159778i
$370$	−4.50243	+	5.67222i	−0.234070	+	0.294885i
$371$	2.39236	+	5.23853i	0.124205	+	0.271971i
$372$			4.64356i			0.240757i
$373$	1.23449	−	4.20428i	0.0639194	−	0.217689i	−0.921340	−	0.388759i	$-0.872904\pi$
$373$	1.23449	−	4.20428i	0.0639194	−	0.217689i	0.985259	+	0.171069i	$0.0547222\pi$
$374$	18.9731	−	5.64801i	0.981076	−	0.292051i
$375$	13.5530	+	0.184217i	0.699876	+	0.00951290i
$376$	−15.0276	+	4.41252i	−0.774992	+	0.227558i
$377$	−0.511156	−	0.233437i	−0.0263259	−	0.0120226i
$378$	4.45335	+	2.03377i	0.229055	+	0.104606i
$379$	−6.91497	+	4.44398i	−0.355198	+	0.228272i	−0.706055	−	0.708157i	$-0.749527\pi$
$379$	−6.91497	+	4.44398i	−0.355198	+	0.228272i	0.350857	+	0.936429i	$0.385890\pi$
$380$	3.35430	−	2.36576i	0.172072	−	0.121361i
$381$	1.17260	+	8.15560i	0.0600741	+	0.417824i
$382$	22.1673	+	19.2081i	1.13418	+	0.982770i
$383$	−23.0452	−	3.31340i	−1.17755	−	0.169307i	−0.474377	−	0.880322i	$-0.657327\pi$
$383$	−23.0452	−	3.31340i	−1.17755	−	0.169307i	−0.703176	+	0.711015i	$0.748236\pi$
$384$	−7.40823	−	4.76098i	−0.378049	−	0.242958i
$385$	5.14798	+	0.495720i	0.262366	+	0.0252643i
$386$	−2.12514	+	1.36575i	−0.108167	+	0.0695146i
$387$	4.68686	−	2.14042i	0.238247	−	0.108804i
$388$	−1.49093	+	1.29190i	−0.0756907	+	0.0655864i
$389$	−5.99140	−	13.1193i	−0.303776	−	0.665177i	0.694761	−	0.719240i	$-0.255510\pi$
$389$	−5.99140	−	13.1193i	−0.303776	−	0.665177i	−0.998538	+	0.0540634i	$0.982783\pi$
$390$	−0.242909	−	0.0243060i	−0.0123002	−	0.00123078i
$391$	−6.95291	−	2.04156i	−0.351624	−	0.103246i
$392$	14.8884	+	12.9009i	0.751979	+	0.651594i
$393$	3.95189	−	13.4589i	0.199347	−	0.678912i
$394$	−6.27057	−	1.84120i	−0.315907	−	0.0927586i
$395$	10.3398	−	7.29256i	0.520251	−	0.366928i
$396$	−1.78458	−	0.516775i	−0.0896787	−	0.0259689i
$397$	3.38844	+	2.93610i	0.170061	+	0.147359i	0.735733	−	0.677272i	$-0.236838\pi$
$397$	3.38844	+	2.93610i	0.170061	+	0.147359i	−0.565672	+	0.824630i	$0.691383\pi$
$398$	9.51867	+	14.8113i	0.477128	+	0.742426i
$399$	−4.06772	+	1.19439i	−0.203641	+	0.0597943i
$400$	−13.8618	−	7.30597i	−0.693089	−	0.365299i
$401$	7.06822	+	4.54247i	0.352970	+	0.226840i	0.705095	−	0.709113i	$-0.250904\pi$
$401$	7.06822	+	4.54247i	0.352970	+	0.226840i	−0.352125	+	0.935953i	$0.614541\pi$
$402$	3.86497	+	13.1629i	0.192767	+	0.656505i
$403$		−	0.737139i		−	0.0367195i
$404$	−1.02931	−	7.15899i	−0.0512099	−	0.356173i
$405$	3.99335	+	2.32975i	0.198431	+	0.115766i
$406$	2.95367	+	6.46764i	0.146588	+	0.320984i
$407$	−6.33022	+	5.52666i	−0.313777	+	0.273947i
$408$	−15.5738	−	7.11232i	−0.771018	−	0.352112i
$409$	−13.0094	−	15.0137i	−0.643275	−	0.742379i	0.336675	−	0.941621i	$-0.390698\pi$
$409$	−13.0094	−	15.0137i	−0.643275	−	0.742379i	−0.979950	+	0.199242i	$0.936152\pi$
$410$	−1.39095	+	5.62227i	−0.0686941	+	0.277664i
$411$	18.7957	−	12.0793i	0.927123	−	0.595826i
$412$	−5.55929	+	2.53884i	−0.273887	+	0.125080i
$413$	−4.54407	−	3.93746i	−0.223599	−	0.193750i
$414$	−1.98788	−	2.29414i	−0.0976990	−	0.112751i
$415$	31.1344	−	15.8728i	1.52833	−	0.779164i
$416$	−0.121083	−	0.0778152i	−0.00593657	−	0.00381520i
$417$	10.1397	−	1.45787i	0.496544	−	0.0713923i
$418$	−19.3047	+	8.90337i	−0.944222	+	0.435478i
$419$	−2.14506	+	14.9192i	−0.104793	+	0.728853i	0.867897	+	0.496745i	$0.165471\pi$
$419$	−2.14506	+	14.9192i	−0.104793	+	0.728853i	−0.972690	+	0.232108i	$0.925438\pi$
$420$	−0.475288	−	0.503011i	−0.0231917	−	0.0245444i
$421$	8.08805	+	5.19787i	0.394187	+	0.253329i	0.722687	−	0.691175i	$-0.242907\pi$
$421$	8.08805	+	5.19787i	0.394187	+	0.253329i	−0.328500	+	0.944504i	$0.606543\pi$
$422$	−11.6484	−	1.67479i	−0.567035	−	0.0815273i
$423$	−7.84376	−	1.12776i	−0.381377	−	0.0548337i
$424$	3.55450	−	24.7221i	0.172622	−	1.20061i
$425$	−21.9929	−	7.83568i	−1.06681	−	0.380086i
$426$	17.0215	+	10.9390i	0.824693	+	0.529998i
$427$	2.54706	+	2.20704i	0.123261	+	0.106806i
$428$	−6.46016	−	0.928831i	−0.312264	−	0.0448967i
$429$	−0.272093	−	0.0787917i	−0.0131368	−	0.00380410i
$430$	9.61508	−	0.414372i	0.463680	−	0.0199828i
$431$	3.65850	+	2.35118i	0.176224	+	0.113252i	0.625779	−	0.780000i	$-0.284781\pi$
$431$	3.65850	+	2.35118i	0.176224	+	0.113252i	−0.449555	+	0.893253i	$0.648418\pi$
$432$	−9.30532	−	14.4794i	−0.447703	−	0.696639i
$433$	17.7835	−	15.4095i	0.854619	−	0.740531i	−0.112826	−	0.993615i	$-0.535990\pi$
$433$	17.7835	−	15.4095i	0.854619	−	0.740531i	0.967444	+	0.253084i	$0.0814448\pi$
$434$	−6.10789	+	7.04888i	−0.293188	+	0.338357i
$435$	6.97945	+	20.4653i	0.334639	+	0.981237i
$436$	0.592124	−	0.380535i	0.0283576	−	0.0182243i
$437$	7.70276	+	1.10749i	0.368473	+	0.0529784i
$438$	13.3180	−	11.5401i	0.636357	−	0.551406i
$439$	−7.80522	+	17.0911i	−0.372523	+	0.815711i	0.626809	+	0.779173i	$0.284360\pi$
$439$	−7.80522	+	17.0911i	−0.372523	+	0.815711i	−0.999332	+	0.0365387i	$0.988367\pi$
$440$	−17.6199	−	13.8793i	−0.839998	−	0.661668i
$441$	4.14067	+	9.06681i	0.197175	+	0.431753i
$442$	0.382498	+	0.174681i	0.0181936	+	0.00830873i
$443$	−4.48095	+	0.644263i	−0.212896	+	0.0306099i	−0.247938	−	0.968776i	$-0.579753\pi$
$443$	−4.48095	+	0.644263i	−0.212896	+	0.0306099i	0.0350413	+	0.999386i	$0.488844\pi$
$444$	1.12445			0.0533640
$445$	4.05741	+	21.5774i	0.192340	+	1.02287i
$446$	−18.8757	−	12.1307i	−0.893789	−	0.574403i
$447$	−0.698524	+	2.37895i	−0.0330390	+	0.112521i
$448$	1.74450	+	5.94122i	0.0824198	+	0.280696i
$449$	−7.07059	+	4.54399i	−0.333682	+	0.214444i	−0.696743	−	0.717321i	$-0.745368\pi$
$449$	−7.07059	+	4.54399i	−0.333682	+	0.214444i	0.363061	+	0.931765i	$0.381732\pi$
$450$	−5.97583	−	7.74224i	−0.281703	−	0.364973i
$451$	−2.76899	+	6.12363i	−0.130387	+	0.288350i
$452$	−1.77532	+	1.53833i	−0.0835043	+	0.0723568i
$453$	−2.48583	+	8.46596i	−0.116794	+	0.397765i
$454$	6.64488	+	1.95111i	0.311860	+	0.0915703i
$455$	0.0754493	+	0.0798501i	0.00353712	+	0.00374343i
$456$	17.6415	+	5.18001i	0.826138	+	0.242576i
$457$		−	8.43851i		−	0.394737i	−0.980329	−	0.197368i	$-0.936761\pi$
$457$		−	8.43851i		−	0.394737i	0.980329	−	0.197368i	$-0.0632395\pi$
$458$	29.2366	−	13.3519i	1.36613	−	0.623893i
$459$	−16.7941	−	19.3814i	−0.783879	−	0.904645i
$460$	0.410036	+	1.20232i	0.0191180	+	0.0560584i
$461$	30.3576	−	19.5097i	1.41390	−	0.908656i	0.413898	−	0.910323i	$-0.364167\pi$
$461$	30.3576	−	19.5097i	1.41390	−	0.908656i	0.999999	+	0.00166728i	$0.000530712\pi$
$462$	1.94902	+	3.00799i	0.0906764	+	0.139944i
$463$	6.65015	−	10.3478i	0.309059	−	0.480904i	−0.651628	−	0.758538i	$-0.725914\pi$
$463$	6.65015	−	10.3478i	0.309059	−	0.480904i	0.960687	+	0.277634i	$0.0895502\pi$
$464$	3.55740	−	24.7422i	0.165148	−	1.14863i
$465$	−20.6167	+	19.4804i	−0.956076	+	0.903383i
$466$	−0.0181481	−	0.126223i	−0.000840697	−	0.00584717i
$467$	−10.5057	+	9.10326i	−0.486147	+	0.421249i	−0.863138	−	0.504968i	$-0.831504\pi$
$467$	−10.5057	+	9.10326i	−0.486147	+	0.421249i	0.376991	+	0.926217i	$0.376959\pi$
$468$	−0.0213363	−	0.0331999i	−0.000986271	−	0.00153467i
$469$	2.56456	−	5.61560i	0.118420	−	0.259304i
$470$	−12.7848	−	7.45876i	−0.589721	−	0.344047i
$471$	8.97570	−	2.63550i	0.413579	−	0.121438i
$472$	7.34663	+	25.0203i	0.338156	+	1.15165i
$473$	11.0595	+	1.54802i	0.508519	+	0.0711779i
$474$	8.41358	+	2.47045i	0.386449	+	0.113472i
$475$	24.5754	+	4.96788i	1.12760	+	0.227942i
$476$	0.495187	+	1.08431i	0.0226968	+	0.0496991i
$477$	6.83212	−	10.6310i	0.312821	−	0.486759i
$478$	−15.6165	+	2.24531i	−0.714282	+	0.102698i
$479$	0.821699	−	1.79927i	0.0375444	−	0.0822108i	−0.889931	−	0.456096i	$-0.849247\pi$
$479$	0.821699	−	1.79927i	0.0375444	−	0.0822108i	0.927475	+	0.373885i	$0.121975\pi$
$480$	1.02349	+	5.44293i	0.0467155	+	0.248435i
$481$	−0.178500			−0.00813890
$482$	6.99120	−	1.00518i	0.318440	−	0.0457848i
$483$		−	1.31203i		−	0.0596995i
$484$	−2.65961	−	3.02346i	−0.120892	−	0.137430i
$485$	−11.9905	−	1.19980i	−0.544462	−	0.0544801i
$486$	−2.54133	−	17.6753i	−0.115277	−	0.801768i
$487$		−	12.9983i		−	0.589009i	−0.955650	−	0.294504i	$-0.904845\pi$
$487$		−	12.9983i		−	0.589009i	0.955650	−	0.294504i	$-0.0951546\pi$
$488$	−4.11797	−	14.0245i	−0.186412	−	0.634860i
$489$	4.16926	−	9.12942i	0.188541	−	0.412846i
$490$	0.801610	+	18.6005i	0.0362130	+	0.840286i
$491$	22.5619	+	14.4996i	1.01820	+	0.654359i	0.939504	−	0.342539i	$-0.111287\pi$
$491$	22.5619	+	14.4996i	1.01820	+	0.654359i	0.0786996	+	0.996898i	$0.474923\pi$
$492$	0.818016	−	0.373575i	0.0368790	−	0.0168421i
$493$		−	37.2449i		−	1.67742i
$494$	−0.433281	−	0.127223i	−0.0194942	−	0.00572403i
$495$	−5.19219	−	10.0912i	−0.233372	−	0.453567i
$496$	31.4620	−	9.23807i	1.41268	−	0.414802i
$497$	−2.56524	−	8.73642i	−0.115067	−	0.391882i
$498$	22.0308	+	10.0611i	0.987223	+	0.450849i
$499$	−14.9464	+	32.7281i	−0.669094	+	1.46511i	0.204705	+	0.978824i	$0.434376\pi$
$499$	−14.9464	+	32.7281i	−0.669094	+	1.46511i	−0.873799	+	0.486287i	$0.838351\pi$
$500$	1.09959	+	3.94231i	0.0491753	+	0.176305i
$501$	−14.3219	−	16.5283i	−0.639853	−	0.738430i
$502$	−9.65825	+	1.38865i	−0.431069	+	0.0619784i
$503$	−1.73769	−	1.50572i	−0.0774799	−	0.0671367i	0.615260	−	0.788324i	$-0.289051\pi$
$503$	−1.73769	−	1.50572i	−0.0774799	−	0.0671367i	−0.692740	+	0.721188i	$0.743597\pi$
$504$	−0.459322	+	3.19465i	−0.0204598	+	0.142301i
$505$	27.4667	−	34.6030i	1.22225	−	1.53981i
$506$	−0.960621	−	6.50873i	−0.0427048	−	0.289348i
$507$	8.51742	+	13.2534i	0.378272	+	0.588603i
$508$	−2.26312	+	1.03353i	−0.100410	+	0.0458555i
$509$	15.5191	+	17.9100i	0.687871	+	0.793845i	0.987060	−	0.160349i	$-0.0512618\pi$
$509$	15.5191	+	17.9100i	0.687871	+	0.793845i	−0.299190	+	0.954194i	$0.596716\pi$
$510$	−5.22273	−	15.3142i	−0.231266	−	0.678124i
$511$	−7.93015			−0.350809
$512$	7.14439	−	24.3316i	0.315741	−	1.07531i
$513$	20.8137	+	18.0352i	0.918947	+	0.796272i
$514$	−5.94375	−	1.74524i	−0.262168	−	0.0769794i
$515$	−34.5941	−	14.0316i	−1.52440	−	0.618305i
$516$	−0.978563	−	1.12932i	−0.0430788	−	0.0497156i
$517$	−13.0220	−	11.1988i	−0.572708	−	0.492524i
$518$	1.70690	+	1.47904i	0.0749970	+	0.0649853i
$519$	−10.5000	+	6.74792i	−0.460898	+	0.296201i
$520$	−0.0880475	−	0.468239i	−0.00386114	−	0.0205337i
$521$	37.4084	+	10.9841i	1.63889	+	0.481222i	0.966005	−	0.258525i	$-0.0832365\pi$
$521$	37.4084	+	10.9841i	1.63889	+	0.481222i	0.672886	+	0.739747i	$0.265055\pi$
$522$	8.43512	−	13.1253i	0.369195	−	0.574479i
$523$	7.66129	+	26.0920i	0.335005	+	1.14092i	0.938995	+	0.343930i	$0.111758\pi$
$523$	7.66129	+	26.0920i	0.335005	+	1.14092i	−0.603990	+	0.796992i	$0.706423\pi$
$524$	4.23556			0.185031
$525$	0.239388	−	4.22041i	0.0104477	−	0.184194i
$526$	4.85041	−	10.6209i	0.211488	−	0.463094i
$527$	44.4420	−	20.2960i	1.93593	−	0.884108i
$528$	−0.0470275	−	12.6007i	−0.00204661	−	0.548374i
$529$	8.55407	−	18.7308i	0.371916	−	0.814383i
$530$	19.2891	−	13.6044i	0.837865	−	0.590938i
$531$	−1.87767	+	13.0595i	−0.0814840	+	0.566734i
$532$	−0.692086	−	1.07691i	−0.0300057	−	0.0466898i
$533$	−0.129855	+	0.0593030i	−0.00562466	+	0.00256870i
$534$	−9.96432	+	11.4994i	−0.431198	+	0.497629i
$535$	−22.9774	−	32.5787i	−0.993402	−	1.40850i
$536$	−22.5238	+	14.4752i	−0.972880	+	0.625232i
$537$	−0.916661	+	1.42635i	−0.0395569	+	0.0615517i
$538$	−32.0795	+	4.61234i	−1.38305	+	0.198852i
$539$	−2.99466	+	21.3949i	−0.128989	+	0.921542i
$540$	−1.07967	+	4.36408i	−0.0464617	+	0.187800i
$541$	4.49515	−	5.18768i	0.193261	−	0.223036i	−0.650846	−	0.759210i	$-0.725586\pi$
$541$	4.49515	−	5.18768i	0.193261	−	0.223036i	0.844107	+	0.536174i	$0.180131\pi$
$542$	−9.99401	+	15.5510i	−0.429279	+	0.667972i
$543$	5.46013	+	0.785048i	0.234317	+	0.0336896i
$544$	1.35764	−	9.44259i	0.0582083	−	0.404848i
$545$	4.17356	+	1.03254i	0.178776	+	0.0442291i
$546$	−0.0108351	+	0.0753598i	−0.000463699	+	0.00322510i
$547$	−3.49760	+	5.44237i	−0.149547	+	0.232699i	−0.907942	−	0.419096i	$-0.862347\pi$
$547$	−3.49760	+	5.44237i	−0.149547	+	0.232699i	0.758396	+	0.651795i	$0.225984\pi$
$548$	5.09861	+	4.41797i	0.217802	+	0.188726i
$549$	1.05248	−	7.32016i	0.0449188	−	0.312417i
$550$	−1.90247	−	21.1119i	−0.0811216	−	0.900214i
$551$	5.69221	+	39.5902i	0.242496	+	1.68660i
$552$	−3.07636	+	4.78691i	−0.130939	+	0.203744i
$553$	−2.13339	−	3.31961i	−0.0907208	−	0.141164i
$554$	−11.9246	−	13.7618i	−0.506629	−	0.584681i
$555$	4.71723	+	4.99238i	0.200235	+	0.211915i
$556$	1.28497	+	2.81369i	0.0544949	+	0.119327i
$557$	−5.42107	−	8.43535i	−0.229698	−	0.357417i	0.707204	−	0.707010i	$-0.249956\pi$
$557$	−5.42107	−	8.43535i	−0.229698	−	0.357417i	−0.936902	+	0.349593i	$0.886320\pi$
$558$	20.2582	+	2.91269i	0.857599	+	0.123304i
$559$	0.155341	+	0.179274i	0.00657024	+	0.00758246i
$560$	−2.46254	+	4.22097i	−0.104061	+	0.178369i
$561$	−2.74131	−	18.5738i	−0.115738	−	0.784188i
$562$	−28.4803	+	13.0065i	−1.20137	+	0.548647i
$563$	13.6575	+	6.23716i	0.575594	+	0.262865i	0.681872	−	0.731471i	$-0.261166\pi$
$563$	13.6575	+	6.23716i	0.575594	+	0.262865i	−0.106278	+	0.994336i	$0.533893\pi$
$564$	0.327070	+	2.27482i	0.0137721	+	0.0957873i
$565$	−14.2777	−	1.42866i	−0.600667	−	0.0601040i
$566$	−25.6515	+	7.53197i	−1.07821	+	0.316592i
$567$	0.779529	−	1.21297i	0.0327371	−	0.0509400i
$568$	−11.1253	+	37.8894i	−0.466809	+	1.58980i
$569$	−29.3697	+	8.62373i	−1.23124	+	0.361526i	−0.831719	−	0.555197i	$-0.812643\pi$
$569$	−29.3697	+	8.62373i	−1.23124	+	0.361526i	−0.399524	+	0.916723i	$0.630825\pi$
$570$	7.89211	+	15.4804i	0.330564	+	0.648401i
$571$	−2.49867	+	2.88362i	−0.104566	+	0.120676i	−0.805620	−	0.592432i	$-0.798168\pi$
$571$	−2.49867	+	2.88362i	−0.104566	+	0.120676i	0.701054	+	0.713108i	$0.252713\pi$
$572$	−0.000319227	−	0.0855345i	−1.33476e−5	−	0.00357638i
$573$	21.0241	−	18.2175i	0.878295	−	0.761047i
$574$	1.73312	+	0.508890i	0.0723390	+	0.0212407i
$575$	−3.61794	+	6.86440i	−0.150879	+	0.286265i
$576$	8.89785	−	10.2687i	0.370744	−	0.427861i
$577$	4.07655	−	13.8835i	0.169709	−	0.577976i	−0.830084	−	0.557638i	$-0.811708\pi$
$577$	4.07655	−	13.8835i	0.169709	−	0.577976i	0.999793	−	0.0203378i	$-0.00647416\pi$
$578$			6.14005i			0.255392i
$579$	0.995287	+	2.17937i	0.0413627	+	0.0905717i
$580$	−5.33554	+	3.76311i	−0.221546	+	0.156255i
$581$	−4.52760	−	9.91405i	−0.187836	−	0.411304i
$582$	−4.51506	−	7.02558i	−0.187155	−	0.291220i
$583$	24.8715	−	11.4708i	1.03007	−	0.475073i
$584$	28.9329	+	18.5941i	1.19725	+	0.769428i
$585$	0.0578936	−	0.234008i	0.00239361	−	0.00967506i
$586$	23.9425	−	27.6311i	0.989056	−	1.14143i
$587$	−33.0047	+	4.74536i	−1.36225	+	0.195862i	−0.784387	−	0.620272i	$-0.787022\pi$
$587$	−33.0047	+	4.74536i	−1.36225	+	0.195862i	−0.577863	+	0.816134i	$0.696113\pi$
$588$	2.18469	−	1.89305i	0.0900952	−	0.0780679i
$589$	−44.1387	+	28.3662i	−1.81870	+	1.16881i
$590$	−12.4185	+	21.2862i	−0.511261	+	0.876338i
$591$	−2.57485	+	5.63814i	−0.105915	+	0.231922i
$592$	−2.23702	−	7.61859i	−0.0919410	−	0.313122i
$593$	−3.34085	−	11.3779i	−0.137192	−	0.467234i	0.862022	−	0.506871i	$-0.169198\pi$
$593$	−3.34085	−	11.3779i	−0.137192	−	0.467234i	−0.999214	+	0.0396371i	$0.987380\pi$
$594$	9.59340	−	21.2158i	0.393622	−	0.870495i
$595$	−2.73678	+	6.74738i	−0.112197	+	0.276616i
$596$	−0.748663			−0.0306664
$597$	15.1893	−	6.93673i	0.621658	−	0.283901i
$598$	0.0755565	−	0.117568i	0.00308974	−	0.00480772i
$599$	−5.20613	−	36.2094i	−0.212717	−	1.47948i	−0.764031	−	0.645179i	$-0.776783\pi$
$599$	−5.20613	−	36.2094i	−0.212717	−	1.47948i	0.551314	−	0.834298i	$-0.314126\pi$
$600$	−10.7691	+	14.8367i	−0.439647	+	0.605707i
$601$	34.3433	−	10.0841i	1.40089	−	0.411339i	0.507902	−	0.861415i	$-0.330421\pi$
$601$	34.3433	−	10.0841i	1.40089	−	0.411339i	0.892991	+	0.450075i	$0.148603\pi$
$602$		−	3.00145i		−	0.122330i
$603$	−13.4088	+	1.92789i	−0.546048	+	0.0785099i
$604$	−2.66426			−0.108407
$605$	2.26622	−	24.4921i	0.0921351	−	0.995747i
$606$	30.6175			1.24375
$607$	−18.1642	+	2.61162i	−0.737263	+	0.106002i	−0.500709	−	0.865616i	$-0.666927\pi$
$607$	−18.1642	+	2.61162i	−0.737263	+	0.106002i	−0.236554	+	0.971618i	$0.576018\pi$
$608$			10.2447i			0.415477i
$609$	6.47034	−	1.89986i	0.262191	−	0.0769864i
$610$	6.96087	−	11.9314i	0.281837	−	0.483089i
$611$	−0.0519205	−	0.361115i	−0.00210048	−	0.0146092i
$612$	1.41416	−	2.20047i	0.0571639	−	0.0889488i
$613$	39.8823	−	18.2136i	1.61083	−	0.735642i	0.612341	−	0.790593i	$-0.290228\pi$
$613$	39.8823	−	18.2136i	1.61083	−	0.735642i	0.998489	+	0.0549518i	$0.0175005\pi$
$614$	40.1156			1.61893
$615$	5.09031	+	2.06466i	0.205261	+	0.0832551i
$616$	−4.56113	+	5.30369i	−0.183773	+	0.213692i
$617$	9.68511	+	32.9845i	0.389908	+	1.32790i	0.887626	+	0.460566i	$0.152353\pi$
$617$	9.68511	+	32.9845i	0.389908	+	1.32790i	−0.497718	+	0.867339i	$0.665828\pi$
$618$	−7.28896	−	24.8239i	−0.293205	−	0.998564i
$619$	−2.03535	+	4.45679i	−0.0818076	+	0.179134i	−0.946115	−	0.323829i	$-0.895030\pi$
$619$	−2.03535	+	4.45679i	−0.0818076	+	0.179134i	0.864308	+	0.502963i	$0.167757\pi$
$620$	−7.39781	−	4.31593i	−0.297103	−	0.173332i
$621$	−7.17023	+	4.60803i	−0.287731	+	0.184914i
$622$	3.66765	−	3.17804i	0.147059	−	0.127428i
$623$	6.77762	−	0.974474i	0.271539	−	0.0390415i
$624$	0.175280	−	0.202284i	0.00701683	−	0.00809786i
$625$	−12.8903	+	21.4206i	−0.515611	+	0.856823i
$626$	30.1249	+	19.3601i	1.20404	+	0.773786i
$627$	5.75261	+	19.3245i	0.229737	+	0.771746i
$628$	1.52714	+	2.37627i	0.0609393	+	0.0948235i
$629$	−4.91473	−	10.7617i	−0.195963	−	0.429099i
$630$	−2.49259	+	1.75800i	−0.0993070	+	0.0700403i
$631$	8.06822	+	17.6669i	0.321191	+	0.703310i	0.999505	−	0.0314624i	$-0.0100164\pi$
$631$	8.06822	+	17.6669i	0.321191	+	0.703310i	−0.678314	+	0.734772i	$0.737289\pi$
$632$			17.1137i			0.680748i
$633$	−3.14450	+	10.7092i	−0.124982	+	0.425651i
$634$	−5.88237	+	6.78861i	−0.233619	+	0.269610i
$635$	−14.0828	−	5.71207i	−0.558860	−	0.226677i
$636$	−3.51651	−	1.03254i	−0.139439	−	0.0409429i
$637$	−0.346808	+	0.300510i	−0.0137410	+	0.0119067i
$638$	30.7071	−	14.1622i	1.21570	−	0.560687i
$639$	−13.0841	+	15.0998i	−0.517598	+	0.597340i
$640$	14.4704	−	7.37722i	0.571993	−	0.291610i
$641$	3.35541	−	0.985237i	0.132531	−	0.0389145i	−0.214795	−	0.976659i	$-0.568908\pi$
$641$	3.35541	−	0.985237i	0.132531	−	0.0389145i	0.347325	+	0.937745i	$0.387090\pi$
$642$	7.78391	−	26.5096i	0.307207	−	1.04625i
$643$	15.8764	−	24.7042i	0.626105	−	0.974238i	−0.372821	−	0.927903i	$-0.621610\pi$
$643$	15.8764	−	24.7042i	0.626105	−	0.974238i	0.998926	−	0.0463346i	$-0.0147540\pi$
$644$	0.380126	−	0.111615i	0.0149791	−	0.00439825i
$645$	0.908799	−	9.08234i	0.0357839	−	0.357617i
$646$	−4.25948	−	29.6254i	−0.167587	−	1.16559i
$647$	26.9942	+	12.3279i	1.06125	+	0.484658i	0.868038	−	0.496498i	$-0.165381\pi$
$647$	26.9942	+	12.3279i	1.06125	+	0.484658i	0.193215	+	0.981156i	$0.438108\pi$
$648$	−5.68818	+	2.59771i	−0.223453	+	0.102048i
$649$	−18.6455	+	21.6811i	−0.731901	+	0.851056i
$650$	0.264494	−	0.364396i	0.0103743	−	0.0142928i
$651$	5.79290	+	6.68537i	0.227042	+	0.262020i
$652$	2.99969	+	0.431290i	0.117477	+	0.0168906i
$653$	4.06907	+	6.33159i	0.159235	+	0.247774i	0.911699	−	0.410859i	$-0.134771\pi$
$653$	4.06907	+	6.33159i	0.159235	+	0.247774i	−0.752464	+	0.658633i	$0.771135\pi$
$654$	1.23778	+	2.71035i	0.0484009	+	0.105983i
$655$	17.7688	+	18.8052i	0.694283	+	0.734780i
$656$	−4.15851	−	4.79918i	−0.162363	−	0.187376i
$657$	9.40789	+	14.6390i	0.367037	+	0.571121i
$658$	−2.49569	+	3.88337i	−0.0972921	+	0.151389i
$659$	−5.88657	−	40.9420i	−0.229308	−	1.59487i	−0.701034	−	0.713128i	$-0.747278\pi$
$659$	−5.88657	−	40.9420i	−0.229308	−	1.59487i	0.471725	−	0.881745i	$-0.343631\pi$
$660$	−2.38384	+	2.26935i	−0.0927907	+	0.0883344i
$661$	4.21514	−	29.3169i	0.163950	−	1.14030i	−0.727146	−	0.686482i	$-0.759154\pi$
$661$	4.21514	−	29.3169i	0.163950	−	1.14030i	0.891096	−	0.453814i	$-0.149937\pi$
$662$	−0.556203	−	0.481953i	−0.0216175	−	0.0187316i
$663$	0.215614	−	0.335502i	0.00837376	−	0.0130298i
$664$	−6.72698	+	46.7872i	−0.261057	+	1.81569i
$665$	1.87790	−	7.59053i	0.0728217	−	0.294348i
$666$	0.705316	−	4.90558i	0.0273304	−	0.190087i
$667$	−12.2524	−	1.76164i	−0.474417	−	0.0682108i
$668$	3.57027	−	5.55545i	0.138138	−	0.214947i
$669$	−13.9357	+	16.0827i	−0.538786	+	0.621792i
$670$	−24.5625	−	6.07675i	−0.948932	−	0.234765i
$671$	10.4513	−	12.1528i	0.403467	−	0.469152i
$672$	1.70966	−	0.245812i	0.0659516	−	0.00948241i
$673$	0.277050	−	0.431098i	0.0106795	−	0.0166176i	−0.835873	−	0.548923i	$-0.815038\pi$
$673$	0.277050	−	0.431098i	0.0106795	−	0.0166176i	0.846552	+	0.532306i	$0.178674\pi$
$674$	−21.2475	+	13.6549i	−0.818424	+	0.525969i
$675$	−23.9052	+	13.5144i	−0.920112	+	0.520169i
$676$	−3.11523	+	3.59517i	−0.119817	+	0.138276i
$677$	−3.17929	+	1.45193i	−0.122190	+	0.0558024i	−0.475572	−	0.879677i	$-0.657759\pi$
$677$	−3.17929	+	1.45193i	−0.122190	+	0.0558024i	0.353382	+	0.935479i	$0.385032\pi$
$678$	−5.37630	−	8.36568i	−0.206475	−	0.321282i
$679$	−0.534844	+	3.71992i	−0.0205254	+	0.142757i
$680$	25.8058	−	18.2006i	0.989609	−	0.697962i
$681$	2.72855	−	5.97470i	0.104558	−	0.228951i
$682$	33.6322	+	28.9234i	1.28784	+	1.10754i
$683$	10.7786	−	4.92240i	0.412430	−	0.188351i	−0.198384	−	0.980124i	$-0.563569\pi$
$683$	10.7786	−	4.92240i	0.412430	−	0.188351i	0.610814	+	0.791774i	$0.290842\pi$
$684$	−1.16691	+	2.55517i	−0.0446178	+	0.0976992i
$685$	1.77431	+	41.1710i	0.0677929	+	1.57306i
$686$	12.0462			0.459926
$687$	−8.58821	−	29.2487i	−0.327661	−	1.11591i
$688$	−5.70482	+	8.87687i	−0.217494	+	0.338427i
$689$	0.558226	+	0.163910i	0.0212667	+	0.00624447i
$690$	−5.28494	+	0.993778i	−0.201194	+	0.0378325i
$691$	13.4069	−	8.61610i	0.510023	−	0.327772i	−0.260191	−	0.965557i	$-0.583786\pi$
$691$	13.4069	−	8.61610i	0.510023	−	0.327772i	0.770214	+	0.637785i	$0.220149\pi$
$692$	−2.84827	−	2.46804i	−0.108275	−	0.0938209i
$693$	−3.21396	+	1.48229i	−0.122088	+	0.0563075i
$694$	−16.9581	−	19.5707i	−0.643721	−	0.742894i
$695$	−7.10172	+	17.5089i	−0.269384	+	0.664152i
$696$	−28.0615	−	8.23961i	−1.06367	−	0.312322i
$697$	−7.15074	−	6.19615i	−0.270854	−	0.234696i
$698$	2.53820	−	8.64431i	0.0960722	−	0.327192i
$699$	−0.120945			−0.00457455
$700$	1.24312	−	0.289676i	0.0469854	−	0.0109487i
$701$	−20.8813	−	24.0983i	−0.788677	−	0.910182i	0.209027	−	0.977910i	$-0.432970\pi$
$701$	−20.8813	−	24.0983i	−0.788677	−	0.910182i	−0.997704	+	0.0677280i	$0.978425\pi$
$702$	0.449894	−	0.205460i	0.0169802	−	0.00775458i
$703$	6.86895	+	10.6883i	0.259067	+	0.403117i
$704$	28.2249	−	8.40213i	1.06377	−	0.316667i
$705$	−8.72775	+	10.9954i	−0.328706	+	0.414109i
$706$	−5.07673	+	35.3094i	−0.191065	+	1.32889i
$707$	−10.4128	−	9.02277i	−0.391615	−	0.339336i
$708$	3.78747	−	0.544556i	0.142342	−	0.0204657i
$709$	8.89612	+	10.2667i	0.334101	+	0.385573i	0.897797	−	0.440409i	$-0.145167\pi$
$709$	8.89612	+	10.2667i	0.334101	+	0.385573i	−0.563696	+	0.825982i	$0.690621\pi$
$710$	−33.2478	+	16.9502i	−1.24777	+	0.636131i
$711$	−3.59704	+	7.87642i	−0.134899	+	0.295389i
$712$	−27.0128	−	12.3363i	−1.01235	−	0.462324i
$713$	−4.57472	−	15.5801i	−0.171325	−	0.583479i
$714$	−4.84176	+	1.42167i	−0.181198	+	0.0532046i
$715$	0.378421	−	0.360247i	0.0141521	−	0.0134725i
$716$	−0.491229	−	0.144238i	−0.0183581	−	0.00539042i
$717$			14.9635i			0.558820i
$718$	−26.7860	+	12.2327i	−0.999644	+	0.456522i
$719$	10.5803	+	6.79956i	0.394580	+	0.253581i	0.722853	−	0.691002i	$-0.242830\pi$
$719$	10.5803	+	6.79956i	0.394580	+	0.253581i	−0.328273	+	0.944583i	$0.606467\pi$
$720$	10.7133	−	0.461701i	0.399261	−	0.0172066i
$721$	−4.83651	+	10.5905i	−0.180121	+	0.394410i
$722$	2.21303	+	7.53689i	0.0823605	+	0.280494i
$723$		−	6.69884i		−	0.249133i
$724$	0.237049	+	1.64871i	0.00880986	+	0.0612739i
$725$	−39.0910	−	7.90218i	−1.45180	−	0.293480i
$726$	14.2711	−	9.32273i	0.529650	−	0.345999i
$727$		−	42.2530i		−	1.56708i	−0.621343	−	0.783539i	$-0.713413\pi$
$727$		−	42.2530i		−	1.56708i	0.621343	−	0.783539i	$-0.286587\pi$
$728$	−0.147077	+	0.0211465i	−0.00545104	+	0.000783742i
$729$	−23.1389			−0.856997
$730$	6.00657	+	31.9431i	0.222313	+	1.18227i
$731$	−6.53129	+	14.3015i	−0.241569	+	0.528961i
$732$	−2.12297	+	0.305237i	−0.0784673	+	0.0112819i
$733$	10.4759	−	16.3009i	0.386938	−	0.602087i	−0.592076	−	0.805882i	$-0.701691\pi$
$733$	10.4759	−	16.3009i	0.386938	−	0.602087i	0.979013	+	0.203795i	$0.0653278\pi$
$734$	5.28250	+	11.5671i	0.194981	+	0.426948i
$735$	17.5699	+	1.75809i	0.648077	+	0.0648480i
$736$	−3.04211	−	0.893245i	−0.112134	−	0.0329255i
$737$	−26.7528	−	12.0971i	−0.985452	−	0.445603i
$738$	−1.11667	−	3.80304i	−0.0411053	−	0.139992i
$739$	7.17631	−	2.10715i	0.263985	−	0.0775129i	−0.147062	−	0.989127i	$-0.546982\pi$
$739$	7.17631	−	2.10715i	0.263985	−	0.0775129i	0.411046	+	0.911614i	$0.365163\pi$
$740$	−1.04511	+	1.79140i	−0.0384191	+	0.0658531i
$741$	−0.177916	+	0.389582i	−0.00653591	+	0.0143117i
$742$	−3.97988	−	6.19281i	−0.146106	−	0.227345i
$743$	−3.95649	+	3.42832i	−0.145150	+	0.125773i	−0.724409	−	0.689370i	$-0.757887\pi$
$743$	−3.95649	+	3.42832i	−0.145150	+	0.125773i	0.579259	+	0.815143i	$0.303342\pi$
$744$	−5.45986	−	37.9742i	−0.200168	−	1.39220i
$745$	−3.14075	−	3.32395i	−0.115068	−	0.121780i
$746$	−0.797107	+	5.54400i	−0.0291842	+	0.202980i
$747$	−12.9299	+	20.1194i	−0.473082	+	0.736130i
$748$	5.14808	−	2.37431i	0.188232	−	0.0868133i
$749$	−10.4595	+	6.72189i	−0.382181	+	0.245612i
$750$	−17.1814	+	2.23241i	−0.627375	+	0.0815162i
$751$	−9.56017	−	11.0330i	−0.348856	−	0.402601i	0.554020	−	0.832504i	$-0.313093\pi$
$751$	−9.56017	−	11.0330i	−0.348856	−	0.402601i	−0.902875	+	0.429903i	$0.858548\pi$
$752$	14.7621	−	6.74164i	0.538320	−	0.245842i
$753$			9.25437i			0.337248i
$754$	0.689202	+	0.202368i	0.0250992	+	0.00736980i
$755$	−11.1770	−	11.8289i	−0.406771	−	0.430498i
$756$	1.34527	+	0.395007i	0.0489270	+	0.0143663i
$757$	−11.1664	+	38.0293i	−0.405850	+	1.38220i	0.462663	+	0.886534i	$0.346894\pi$
$757$	−11.1664	+	38.0293i	−0.405850	+	1.38220i	−0.868514	+	0.495665i	$0.834924\pi$
$758$	7.94069	−	6.88065i	0.288419	−	0.249916i
$759$	−6.23990	+	0.0232882i	−0.226494	+	0.000845308i
$760$	−24.6492	+	23.2907i	−0.894121	+	0.844842i
$761$	29.3904	−	18.8881i	1.06540	−	0.684692i	0.114261	−	0.993451i	$-0.463550\pi$
$761$	29.3904	−	18.8881i	1.06540	−	0.684692i	0.951140	+	0.308758i	$0.0999135\pi$
$762$	−2.96724	−	10.1055i	−0.107492	−	0.366084i
$763$	0.377762	−	1.28654i	0.0136759	−	0.0465759i
$764$	7.06657	+	4.54141i	0.255660	+	0.164302i
$765$	15.7024	−	2.95266i	0.567720	−	0.106754i
$766$	29.7605			1.07529
$767$	−0.601240	+	0.0864453i	−0.0217095	+	0.00312136i
$768$	−9.34425	−	4.26737i	−0.337181	−	0.153986i
$769$	−8.11992	−	17.7802i	−0.292812	−	0.641169i	0.704861	−	0.709345i	$-0.251009\pi$
$769$	−8.11992	−	17.7802i	−0.292812	−	0.641169i	−0.997673	+	0.0681764i	$0.978282\pi$
$770$	−6.60362	+	0.309286i	−0.237978	+	0.0111459i
$771$	−2.44065	+	5.34429i	−0.0878980	+	0.192470i
$772$	−0.546747	+	0.473759i	−0.0196778	+	0.0170509i
$773$	25.4116	+	3.65364i	0.913993	+	0.131412i	0.583235	−	0.812303i	$-0.301787\pi$
$773$	25.4116	+	3.65364i	0.913993	+	0.131412i	0.330758	+	0.943716i	$0.392696\pi$
$774$	−5.54064	+	3.56076i	−0.199154	+	0.127989i
$775$	−11.8728	−	50.9511i	−0.426484	−	1.83022i
$776$	10.6736	−	12.3180i	0.383159	−	0.442189i
$777$	1.61888	−	1.40277i	0.0580769	−	0.0503239i
$778$	9.96717	+	15.5092i	0.357340	+	0.556032i
$779$	8.54800	+	5.49346i	0.306264	+	0.196824i
$780$	−0.0698477	+	0.00301016i	−0.00250095	+	0.000107781i
$781$	−41.5041	+	12.3551i	−1.48513	+	0.442101i
$782$	9.16851	+	1.31823i	0.327865	+	0.0471399i
$783$	−33.1074	−	28.6877i	−1.18316	−	1.02522i
$784$	−17.1724	−	11.0361i	−0.613302	−	0.394145i
$785$	−4.14371	+	16.7490i	−0.147895	+	0.597799i
$786$	−2.55173	+	17.7477i	−0.0910173	+	0.633039i
$787$	3.04256	+	0.437454i	0.108456	+	0.0155936i	0.196329	−	0.980538i	$-0.437098\pi$
$787$	3.04256	+	0.437454i	0.108456	+	0.0155936i	−0.0878733	+	0.996132i	$0.528007\pi$
$788$	−1.85255	−	0.266356i	−0.0659942	−	0.00948854i
$789$	−9.31597	−	5.98701i	−0.331657	−	0.213143i
$790$	−11.7557	+	11.1078i	−0.418249	+	0.395198i
$791$	−0.636863	+	4.42948i	−0.0226443	+	0.157494i
$792$	15.2016	+	2.12779i	0.540166	+	0.0756076i
$793$	0.337010	−	0.0484547i	0.0119676	−	0.00172068i
$794$	−4.82132	−	3.09847i	−0.171102	−	0.109961i
$795$	−10.1679	−	19.9444i	−0.360620	−	0.707355i
$796$	3.30190	+	3.81059i	0.117033	+	0.135063i
$797$	11.0341	+	9.56114i	0.390849	+	0.338673i	0.828013	−	0.560709i	$-0.189471\pi$
$797$	11.0341	+	9.56114i	0.390849	+	0.338673i	−0.437164	+	0.899382i	$0.644017\pi$
$798$	4.92937	−	2.25117i	0.174498	−	0.0796905i
$799$	20.3420	−	13.0730i	0.719650	−	0.462491i
$800$	−9.62258	−	3.42835i	−0.340210	−	0.121211i
$801$	−9.83946	−	11.3553i	−0.347660	−	0.401221i
$802$	−9.76935	−	4.46151i	−0.344968	−	0.157541i
$803$	0.140758	+	37.7150i	0.00496724	+	1.33093i
$804$	1.63207	+	3.57373i	0.0575586	+	0.126036i
$805$	2.09024	+	1.21946i	0.0736713	+	0.0429803i
$806$	0.134096	+	0.932660i	0.00472334	+	0.0328515i
$807$			30.7380i			1.08203i
$808$	16.8350	+	57.3346i	0.592252	+	2.01702i
$809$	9.38936	+	6.03418i	0.330112	+	0.212150i	0.695189	−	0.718827i	$-0.255321\pi$
$809$	9.38936	+	6.03418i	0.330112	+	0.212150i	−0.365076	+	0.930978i	$0.618957\pi$
$810$	−5.47637	−	2.22125i	−0.192420	−	0.0780466i
$811$	−23.1932	+	6.81014i	−0.814424	+	0.239136i	−0.662313	−	0.749227i	$-0.730425\pi$
$811$	−23.1932	+	6.81014i	−0.814424	+	0.239136i	−0.152111	+	0.988363i	$0.548607\pi$
$812$	1.10087	+	1.71299i	0.0386330	+	0.0601141i
$813$	13.2499	+	11.4811i	0.464696	+	0.402661i
$814$	7.00388	−	8.14413i	0.245486	−	0.285451i
$815$	10.6693	+	15.1275i	0.373728	+	0.529892i
$816$	17.0218	+	4.99805i	0.595882	+	0.174967i
$817$	4.75684	−	16.2003i	0.166421	−	0.566777i
$818$	19.1913	+	16.6294i	0.671008	+	0.581432i
$819$	−0.0721354	−	0.0211809i	−0.00252061	−	0.000740119i
$820$	−0.165145	+	1.65042i	−0.00576712	+	0.0576353i
$821$	−12.4109	−	27.1762i	−0.433145	−	0.948454i	−0.992806	−	0.119733i	$-0.961796\pi$
$821$	−12.4109	−	27.1762i	−0.433145	−	0.948454i	0.559662	−	0.828721i	$-0.310931\pi$
$822$	−21.5837	+	18.7024i	−0.752818	+	0.652321i
$823$	−22.8294	+	10.4258i	−0.795782	+	0.363422i	−0.771456	−	0.636283i	$-0.780471\pi$
$823$	−22.8294	+	10.4258i	−0.795782	+	0.363422i	−0.0243260	+	0.999704i	$0.507744\pi$
$824$	42.4777	−	27.2988i	1.47978	−	0.950997i
$825$	−20.0761	−	1.06360i	−0.698960	−	0.0370297i
$826$	6.46563	+	4.15521i	0.224968	+	0.144578i
$827$	40.6496	+	5.84453i	1.41352	+	0.203234i	0.806399	−	0.591372i	$-0.201413\pi$
$827$	40.6496	+	5.84453i	1.41352	+	0.203234i	0.607126	+	0.794606i	$0.292322\pi$
$828$	−0.657002	−	0.569295i	−0.0228324	−	0.0197844i
$829$	2.11287	+	14.6954i	0.0733831	+	0.510391i	0.993050	+	0.117692i	$0.0375495\pi$
$829$	2.11287	+	14.6954i	0.0733831	+	0.510391i	−0.919667	+	0.392699i	$0.871541\pi$
$830$	−36.5051	+	25.7467i	−1.26711	+	0.893681i
$831$	−14.5287	+	9.33705i	−0.503996	+	0.323899i
$832$	0.569015	+	0.259860i	0.0197270	+	0.00900903i
$833$	−27.6666	−	12.6349i	−0.958589	−	0.437773i
$834$	−12.5640	+	3.68912i	−0.435055	+	0.127744i
$835$	39.6431	−	7.45448i	1.37191	−	0.257973i
$836$	−5.10938	+	3.31061i	−0.176712	+	0.114500i
$837$	16.1900	−	55.1380i	0.559608	−	1.90585i
$838$		−	19.2667i		−	0.665556i
$839$	5.47987	+	11.9992i	0.189186	+	0.414260i	0.980329	−	0.197372i	$-0.0632407\pi$
$839$	5.47987	+	11.9992i	0.189186	+	0.414260i	−0.791143	+	0.611632i	$0.790513\pi$
$840$	4.47825	+	3.55469i	0.154514	+	0.122648i
$841$	−4.92722	−	34.2696i	−0.169904	−	1.18171i
$842$	−11.1789	−	5.10524i	−0.385251	−	0.175938i
$843$	8.36606	+	28.4922i	0.288143	+	0.981324i
$844$	−3.37020			−0.116007
$845$	−29.0308	+	1.25111i	−0.998691	+	0.0430397i
$846$	10.1294			0.348256
$847$	−7.60087	−	1.03499i	−0.261169	−	0.0355628i
$848$			25.8799i			0.888720i
$849$	3.60850	+	25.0977i	0.123843	+	0.861350i
$850$	29.2518	+	5.91320i	1.00333	+	0.202821i
$851$	−3.77275	+	1.10778i	−0.129328	+	0.0379742i
$852$	5.27088	+	2.40713i	0.180577	+	0.0824669i
$853$	6.94560	−	0.998627i	0.237813	−	0.0341923i	−0.0223778	−	0.999750i	$-0.507124\pi$
$853$	6.94560	−	0.998627i	0.237813	−	0.0341923i	0.260191	+	0.965557i	$0.416215\pi$
$854$	−3.62414	−	2.32909i	−0.124016	−	0.0797000i
$855$	−16.2399	+	5.53842i	−0.555392	+	0.189410i
$856$	53.9221			1.84302
$857$	4.02790	−	13.7178i	0.137591	−	0.468591i	−0.861652	−	0.507499i	$-0.830570\pi$
$857$	4.02790	−	13.7178i	0.137591	−	0.468591i	0.999243	+	0.0389087i	$0.0123882\pi$
$858$	0.358596	+	0.0501931i	0.0122423	+	0.00171356i
$859$	−13.5385	+	3.97525i	−0.461927	+	0.135634i	−0.504412	−	0.863463i	$-0.668291\pi$
$859$	−13.5385	+	3.97525i	−0.461927	+	0.135634i	0.0424852	+	0.999097i	$0.486472\pi$
$860$	2.70868	−	0.509339i	0.0923652	−	0.0173683i
$861$	0.711663	−	1.55832i	0.0242534	−	0.0531075i
$862$	−5.05660	−	2.30927i	−0.172229	−	0.0786542i
$863$	−28.0639	−	43.6682i	−0.955305	−	1.48648i	−0.871733	−	0.489981i	$-0.837004\pi$
$863$	−28.0639	−	43.6682i	−0.955305	−	1.48648i	−0.0835719	−	0.996502i	$-0.526633\pi$
$864$	−7.34792	−	8.47995i	−0.249981	−	0.288494i
$865$	−0.991195	−	22.9997i	−0.0337017	−	0.782012i
$866$	−19.6972	+	22.7318i	−0.669337	+	0.772457i
$867$	5.76413	+	0.828756i	0.195760	+	0.0281460i
$868$	−1.44410	+	2.24707i	−0.0490161	+	0.0762705i
$869$	−15.7499	+	10.2051i	−0.534279	+	0.346184i
$870$	−12.5536	−	24.6239i	−0.425608	−	0.834829i
$871$	−0.259082	−	0.567310i	−0.00877865	−	0.0192226i
$872$	−4.39485	+	3.80816i	−0.148828	+	0.128960i
$873$	7.50144	−	3.42579i	0.253885	−	0.115946i
$874$	−9.94733			−0.336473
$875$	6.50117	+	4.30401i	0.219780	+	0.145502i
$876$	3.30488	−	3.81404i	0.111662	−	0.128864i
$877$	−14.8372	+	50.5308i	−0.501016	+	1.70630i	0.188536	+	0.982066i	$0.439626\pi$
$877$	−14.8372	+	50.5308i	−0.501016	+	1.70630i	−0.689552	+	0.724236i	$0.742192\pi$
$878$	6.76639	−	23.0442i	0.228354	−	0.777704i
$879$	−22.7078	−	26.2062i	−0.765914	−	0.883912i
$880$	20.1183	+	11.6367i	0.678186	+	0.392273i
$881$	31.0722	−	35.8592i	1.04685	−	1.20813i	0.0692617	−	0.997599i	$-0.477936\pi$
$881$	31.0722	−	35.8592i	1.04685	−	1.20813i	0.977587	−	0.210530i	$-0.0675189\pi$
$882$	−6.88834	−	10.7185i	−0.231942	−	0.360909i
$883$	6.83440	+	23.2758i	0.229996	+	0.783294i	0.990920	+	0.134453i	$0.0429277\pi$
$883$	6.83440	+	23.2758i	0.229996	+	0.783294i	−0.760924	+	0.648841i	$0.775254\pi$
$884$	0.115545	+	0.0339272i	0.00388621	+	0.00114109i
$885$	18.3067	+	14.5313i	0.615374	+	0.488464i
$886$	5.55228	−	1.63030i	0.186533	−	0.0547709i
$887$		−	39.8390i		−	1.33766i	−0.743414	−	0.668831i	$-0.766795\pi$
$887$		−	39.8390i		−	1.33766i	0.743414	−	0.668831i	$-0.233205\pi$
$888$	−9.19554	+	1.32212i	−0.308582	+	0.0443674i
$889$	−1.96888	+	4.31125i	−0.0660342	+	0.144595i
$890$	−9.05885	−	26.5626i	−0.303653	−	0.890379i
$891$	−5.78261	−	3.68584i	−0.193725	−	0.123480i
$892$	−5.84505	−	2.66935i	−0.195707	−	0.0893763i
$893$	−19.6250	+	17.0052i	−0.656726	+	0.569057i
$894$	0.451036	−	3.13702i	0.0150849	−	0.104918i
$895$	−1.42038	−	2.78608i	−0.0474782	−	0.0931284i
$896$	−2.10430	−	4.60778i	−0.0702997	−	0.153935i
$897$	−0.100172	−	0.0867995i	−0.00334464	−	0.00289815i
$898$	8.11939	−	7.03549i	0.270948	−	0.234777i
$899$	70.2095	−	45.1209i	2.34162	−	1.50487i
$900$	−2.00950	−	1.95112i	−0.0669835	−	0.0650375i
$901$	5.48778	+	38.1684i	0.182825	+	1.27157i
$902$	2.38947	−	8.25159i	0.0795607	−	0.274748i
$903$	−2.81769	−	0.405122i	−0.0937668	−	0.0134816i
$904$	12.7095	−	14.6676i	0.422712	−	0.487836i
$905$	−6.32557	+	7.96905i	−0.210269	+	0.264900i
$906$	1.60510	−	11.1637i	0.0533258	−	0.370889i
$907$	−23.9563	−	3.44439i	−0.795455	−	0.114369i	−0.267407	−	0.963584i	$-0.586167\pi$
$907$	−23.9563	−	3.44439i	−0.795455	−	0.114369i	−0.528048	+	0.849215i	$0.677076\pi$
$908$	1.96313	+	0.282256i	0.0651488	+	0.00936698i
$909$	−4.30272	+	29.9261i	−0.142712	+	0.992586i
$910$	−0.109987	−	0.0873045i	−0.00364605	−	0.00289411i
$911$	21.5213	−	24.8369i	0.713033	−	0.822884i	−0.277418	−	0.960749i	$-0.589479\pi$
$911$	21.5213	−	24.8369i	0.713033	−	0.822884i	0.990451	+	0.137865i	$0.0440241\pi$
$912$	−18.8575	−	2.71130i	−0.624435	−	0.0897802i
$913$	−47.0699	+	21.7088i	−1.55779	+	0.718456i
$914$	1.53509	+	10.6768i	0.0507761	+	0.353156i
$915$	−10.2614	−	8.14514i	−0.339231	−	0.269270i
$916$	7.74345	−	4.97641i	0.255851	−	0.164425i
$917$	6.09796	−	5.28391i	0.201372	−	0.174490i
$918$	24.7743	+	21.4671i	0.817674	+	0.708518i
$919$	16.0550	+	35.1555i	0.529604	+	1.15967i	0.965674	+	0.259758i	$0.0836430\pi$
$919$	16.0550	+	35.1555i	0.529604	+	1.15967i	−0.436069	+	0.899913i	$0.643630\pi$
$920$	−4.76688	−	9.35022i	−0.157159	−	0.308268i
$921$	5.41463	−	37.6596i	0.178418	−	1.24093i
$922$	−34.8607	+	30.2069i	−1.14808	+	0.994813i
$923$	−0.836723	−	0.382118i	−0.0275411	−	0.0125776i
$924$	0.675079	+	0.773233i	0.0222085	+	0.0254375i
$925$	−12.3379	+	2.87503i	−0.405668	+	0.0945305i
$926$	−6.53163	+	14.3023i	−0.214643	+	0.470002i
$927$	25.2877	−	3.63582i	0.830556	−	0.119416i
$928$		−	16.2958i		−	0.534935i
$929$	0.542236	−	0.159215i	0.0177902	−	0.00522367i	−0.272825	−	0.962064i	$-0.587958\pi$
$929$	0.542236	−	0.159215i	0.0177902	−	0.00522367i	0.290616	+	0.956840i	$0.406140\pi$
$930$	22.5413	−	28.3979i	0.739159	−	0.931204i
$931$	31.3398	+	9.20218i	1.02712	+	0.301589i
$932$	−0.0102888	−	0.0350406i	−0.000337022	−	0.00114779i
$933$	−2.48842	−	3.87206i	−0.0814672	−	0.126765i
$934$	11.6363	−	13.4290i	0.380750	−	0.439409i
$935$	32.1385	+	12.8961i	1.05104	+	0.421747i
$936$	0.213521	+	0.246416i	0.00697914	+	0.00805435i
$937$	−1.09050	+	3.71390i	−0.0356250	+	0.121328i	−0.975386	−	0.220505i	$-0.929229\pi$
$937$	−1.09050	+	3.71390i	−0.0356250	+	0.121328i	0.939761	+	0.341833i	$0.111048\pi$
$938$	−2.22323	+	7.57162i	−0.0725910	+	0.247222i
$939$	22.2410	−	25.6674i	0.725806	−	0.837625i
$940$	−3.92809	−	1.59325i	−0.128120	−	0.0519662i
$941$	28.6125			0.932741			0.466371	−	0.884589i	$-0.345561\pi$
$941$	28.6125			0.932741			0.466371	+	0.884589i	$0.345561\pi$
$942$	−10.8770	+	4.96736i	−0.354392	+	0.161845i
$943$	−2.37657	+	2.05931i	−0.0773917	+	0.0670603i
$944$	−11.2245	−	24.5783i	−0.365327	−	0.799955i
$945$	3.88984	+	7.62990i	0.126536	+	0.248201i
$946$	−14.2746	+	0.0532749i	−0.464108	+	0.00173212i
$947$	−28.0573	+	43.6580i	−0.911740	+	1.41869i	−0.00361541	+	0.999993i	$0.501151\pi$
$947$	−28.0573	+	43.6580i	−0.911740	+	1.41869i	−0.908124	+	0.418701i	$0.862486\pi$
$948$	2.48567	+	0.357385i	0.0807307	+	0.0116073i
$949$	−0.524631	+	0.605457i	−0.0170303	+	0.0196540i
$950$	−31.9975	−	1.81495i	−1.03814	−	0.0588848i
$951$	5.57901	+	6.43852i	0.180912	+	0.208783i
$952$	−5.32446	−	8.28503i	−0.172567	−	0.268519i
$953$	−16.3477	−	7.46573i	−0.529553	−	0.241839i	0.132650	−	0.991163i	$-0.457651\pi$
$953$	−16.3477	−	7.46573i	−0.529553	−	0.241839i	−0.662203	+	0.749324i	$0.730379\pi$
$954$	−6.71035	+	14.6936i	−0.217256	+	0.475724i
$955$	9.48215	+	50.4264i	0.306835	+	1.63176i
$956$	−4.33527	+	1.27295i	−0.140213	+	0.0411701i
$957$	−9.15042	−	30.7386i	−0.295791	−	0.993638i
$958$	−0.712336	+	2.42599i	−0.0230145	+	0.0783802i
$959$	12.8520			0.415012
$960$	−7.76947	−	22.7818i	−0.250759	−	0.735280i
$961$	66.0208	+	42.4290i	2.12970	+	1.36868i
$962$	0.225846	−	0.0324717i	0.00728156	−	0.00104693i
$963$	24.8171	+	11.3336i	0.799719	+	0.365219i
$964$	1.94081	−	0.569874i	0.0625094	−	0.0183544i
$965$	−4.39710	−	0.439983i	−0.141548	−	0.0141636i
$966$	0.238677	+	1.66004i	0.00767931	+	0.0534108i
$967$			59.9240i			1.92703i	0.267662	+	0.963513i	$0.413749\pi$
$967$			59.9240i			1.92703i	−0.267662	+	0.963513i	$0.586251\pi$
$968$	25.3048	+	21.5981i	0.813327	+	0.694191i
$969$	−28.3865			−0.911906
$970$	15.3892	−	0.663213i	0.494117	−	0.0212945i
$971$	−31.4629			−1.00969			−0.504846	−	0.863210i	$-0.668451\pi$
$971$	−31.4629			−1.00969			−0.504846	+	0.863210i	$0.668451\pi$
$972$	−1.44077	−	4.90681i	−0.0462127	−	0.157386i
$973$	5.36010	+	2.44788i	0.171837	+	0.0784753i
$974$	2.36458	+	16.4460i	0.0757659	+	0.526963i
$975$	−0.306386	−	0.297485i	−0.00981220	−	0.00952713i
$976$	6.29162	+	13.7767i	0.201390	+	0.440982i
$977$			5.96019i			0.190683i	0.995445	+	0.0953417i	$0.0303944\pi$
$977$			5.96019i			0.190683i	−0.995445	+	0.0953417i	$0.969606\pi$
$978$	−3.61436	+	12.3094i	−0.115574	+	0.393610i
$979$	−4.75481	−	32.2164i	−0.151964	−	1.02964i
$980$	0.985324	+	5.23998i	0.0314750	+	0.167385i
$981$	−2.82310	+	0.828936i	−0.0901345	+	0.0264659i
$982$	−31.1839	−	14.2412i	−0.995119	−	0.454456i
$983$	33.7952	+	15.4337i	1.07790	+	0.492260i	0.873598	−	0.486648i	$-0.161781\pi$
$983$	33.7952	+	15.4337i	1.07790	+	0.492260i	0.204301	+	0.978908i	$0.434508\pi$
$984$	−6.25033	+	4.01684i	−0.199253	+	0.128052i
$985$	−6.58912	−	9.34242i	−0.209947	−	0.297674i
$986$	6.77537	+	47.1238i	0.215772	+	1.50073i
$987$	3.30876	+	2.86705i	0.105319	+	0.0912593i
$988$	−0.128007	−	0.0184046i	−0.00407243	−	0.000585527i
$989$	4.39586	+	2.82504i	0.139780	+	0.0898312i
$990$	8.40512	+	11.8233i	0.267132	+	0.375769i
$991$	12.0033	−	7.71403i	0.381296	−	0.245044i	−0.335927	−	0.941888i	$-0.609049\pi$
$991$	12.0033	−	7.71403i	0.381296	−	0.245044i	0.717223	+	0.696844i	$0.245413\pi$
$992$	19.4448	−	8.88012i	0.617372	−	0.281944i
$993$	−0.527520	+	0.457098i	−0.0167403	+	0.0145056i
$994$	4.83494	+	10.5870i	0.153355	+	0.335800i
$995$	−3.06650	+	30.6459i	−0.0972145	+	0.971541i
$996$	6.65507	+	1.95411i	0.210874	+	0.0619182i
$997$	−33.7774	−	29.2683i	−1.06974	−	0.926935i	−0.0722254	−	0.997388i	$-0.523010\pi$
$997$	−33.7774	−	29.2683i	−1.06974	−	0.926935i	−0.997515	+	0.0704529i	$0.977556\pi$
$998$	12.9571	−	44.1279i	0.410151	−	1.39685i
$999$	−13.3518	−	3.92044i	−0.422432	−	0.124037i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	605.2.o.a.34.19	✓	640
5.4	even	2	inner	605.2.o.a.34.46	yes	640
121.89	even	11	inner	605.2.o.a.89.46	yes	640
605.89	even	22	inner	605.2.o.a.89.19	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
605.2.o.a.34.19	✓	640	1.1	even	1	trivial
605.2.o.a.34.46	yes	640	5.4	even	2	inner
605.2.o.a.89.19	yes	640	605.89	even	22	inner
605.2.o.a.89.46	yes	640	121.89	even	11	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 605 = 5 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	605.o (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.26524 + 0.181914i) q^{2} +1.21233i q^{3} +(-0.351241 + 0.103134i) q^{4} +(-1.93141 - 1.12680i) q^{5} +(-0.220541 - 1.53389i) q^{6} +(-0.377024 + 0.586661i) q^{7} +(2.75112 - 1.25640i) q^{8} +1.53025 q^{9} +O(q^{10})\)	\(q+(-1.26524 + 0.181914i) q^{2} +1.21233i q^{3} +(-0.351241 + 0.103134i) q^{4} +(-1.93141 - 1.12680i) q^{5} +(-0.220541 - 1.53389i) q^{6} +(-0.377024 + 0.586661i) q^{7} +(2.75112 - 1.25640i) q^{8} +1.53025 q^{9} +(2.64868 + 1.07432i) q^{10} +(2.79679 + 1.78268i) q^{11} +(-0.125032 - 0.425821i) q^{12} +(0.0198482 + 0.0675968i) q^{13} +(0.370304 - 0.810854i) q^{14} +(1.36605 - 2.34151i) q^{15} +(-2.63637 + 1.69429i) q^{16} +(-3.52891 + 3.05782i) q^{17} +(-1.93614 + 0.278374i) q^{18} +(3.28380 - 3.78970i) q^{19} +(0.794601 + 0.196584i) q^{20} +(-0.711228 - 0.457078i) q^{21} +(-3.86292 - 1.74674i) q^{22} +(0.839018 + 1.30554i) q^{23} +(1.52317 + 3.33528i) q^{24} +(2.46066 + 4.35260i) q^{25} +(-0.0374096 - 0.0819156i) q^{26} +5.49217i q^{27} +(0.0719219 - 0.244943i) q^{28} +(-5.22339 + 6.02811i) q^{29} +(-1.30243 + 3.21108i) q^{30} +(-10.0394 - 2.94783i) q^{31} +(-1.54401 + 1.33789i) q^{32} +(-2.16120 + 3.39065i) q^{33} +(3.90867 - 4.51084i) q^{34} +(1.38923 - 0.708251i) q^{35} +(-0.537487 + 0.157820i) q^{36} +(-0.713824 + 2.43106i) q^{37} +(-3.46540 + 5.39226i) q^{38} +(-0.0819498 + 0.0240626i) q^{39} +(-6.72924 - 0.673343i) q^{40} +(0.288377 + 2.00570i) q^{41} +(0.983024 + 0.448932i) q^{42} +(3.06281 - 1.39874i) q^{43} +(-1.16620 - 0.337706i) q^{44} +(-2.95553 - 1.72428i) q^{45} +(-1.29906 - 1.49919i) q^{46} +(-5.12580 - 0.736979i) q^{47} +(-2.05404 - 3.19615i) q^{48} +(2.70588 + 5.92505i) q^{49} +(-3.90513 - 5.05946i) q^{50} +(-3.70709 - 4.27821i) q^{51} +(-0.0139430 - 0.0216958i) q^{52} +(4.46471 - 6.94722i) q^{53} +(-0.999104 - 6.94892i) q^{54} +(-3.39304 - 6.59449i) q^{55} +(-0.300161 + 2.08767i) q^{56} +(4.59438 + 3.98105i) q^{57} +(5.51225 - 8.57723i) q^{58} +(-1.22704 + 8.53422i) q^{59} +(-0.238325 + 0.963320i) q^{60} +(0.687783 - 4.78364i) q^{61} +(13.2385 + 1.90341i) q^{62} +(-0.576941 + 0.897737i) q^{63} +(5.81464 - 6.71045i) q^{64} +(0.0378328 - 0.152922i) q^{65} +(2.11763 - 4.68314i) q^{66} +(-8.76249 + 1.25986i) q^{67} +(0.924135 - 1.43798i) q^{68} +(-1.58274 + 1.01717i) q^{69} +(-1.62887 + 1.14883i) q^{70} +(-8.55029 + 9.86756i) q^{71} +(4.20991 - 1.92260i) q^{72} +(6.14795 + 9.56639i) q^{73} +(0.460915 - 3.20574i) q^{74} +(-5.27680 + 2.98314i) q^{75} +(-0.762559 + 1.66977i) q^{76} +(-2.10028 + 0.968658i) q^{77} +(0.0993089 - 0.0453529i) q^{78} +(-2.35062 + 5.14714i) q^{79} +(7.00101 - 0.301716i) q^{80} -2.06759 q^{81} +(-0.729733 - 2.48524i) q^{82} +(-8.44956 + 13.1478i) q^{83} +(0.296953 + 0.0871932i) q^{84} +(10.2613 - 1.92953i) q^{85} +(-3.62074 + 2.32691i) q^{86} +(-7.30808 - 6.33249i) q^{87} +(9.93408 + 1.39048i) q^{88} +(-6.42997 - 7.42058i) q^{89} +(4.05314 + 1.64398i) q^{90} +(-0.0471396 - 0.0138414i) q^{91} +(-0.429343 - 0.372028i) q^{92} +(3.57375 - 12.1711i) q^{93} +6.61945 q^{94} +(-10.6126 + 3.61929i) q^{95} +(-1.62197 - 1.87185i) q^{96} +(4.90210 - 2.23872i) q^{97} +(-4.50145 - 7.00439i) q^{98} +(4.27980 + 2.72794i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 640 q + 44 q^{4} - 7 q^{5} + 14 q^{6} - 644 q^{9}+O(q^{10}) \) 640 * q + 44 * q^4 - 7 * q^5 + 14 * q^6 - 644 * q^9	\( 640 q + 44 q^{4} - 7 q^{5} + 14 q^{6} - 644 q^{9} - 23 q^{10} + 4 q^{11} - 30 q^{14} + 18 q^{15} - 100 q^{16} - 6 q^{19} - 3 q^{20} + 32 q^{21} + 128 q^{24} - 15 q^{25} - 26 q^{26} - 10 q^{29} + 28 q^{30} - 18 q^{31} - 34 q^{34} - 29 q^{35} - 66 q^{36} + 44 q^{39} - 50 q^{40} - 34 q^{41} - 28 q^{44} - 43 q^{45} - 14 q^{46} + 102 q^{49} + 29 q^{50} - 148 q^{51} + 90 q^{54} - 102 q^{55} - 106 q^{56} - 34 q^{59} + 58 q^{60} - 42 q^{61} + 24 q^{64} + 22 q^{65} + 52 q^{66} + 20 q^{69} - 75 q^{70} + 54 q^{71} - 34 q^{74} - 4 q^{75} - 2 q^{76} + 50 q^{79} - 160 q^{80} + 560 q^{81} - 4 q^{84} - 57 q^{85} + 6 q^{86} - 128 q^{89} + 39 q^{90} - 80 q^{91} - 88 q^{94} + 65 q^{95} + 8 q^{96} - 266 q^{99}+O(q^{100}) \) 640 * q + 44 * q^4 - 7 * q^5 + 14 * q^6 - 644 * q^9 - 23 * q^10 + 4 * q^11 - 30 * q^14 + 18 * q^15 - 100 * q^16 - 6 * q^19 - 3 * q^20 + 32 * q^21 + 128 * q^24 - 15 * q^25 - 26 * q^26 - 10 * q^29 + 28 * q^30 - 18 * q^31 - 34 * q^34 - 29 * q^35 - 66 * q^36 + 44 * q^39 - 50 * q^40 - 34 * q^41 - 28 * q^44 - 43 * q^45 - 14 * q^46 + 102 * q^49 + 29 * q^50 - 148 * q^51 + 90 * q^54 - 102 * q^55 - 106 * q^56 - 34 * q^59 + 58 * q^60 - 42 * q^61 + 24 * q^64 + 22 * q^65 + 52 * q^66 + 20 * q^69 - 75 * q^70 + 54 * q^71 - 34 * q^74 - 4 * q^75 - 2 * q^76 + 50 * q^79 - 160 * q^80 + 560 * q^81 - 4 * q^84 - 57 * q^85 + 6 * q^86 - 128 * q^89 + 39 * q^90 - 80 * q^91 - 88 * q^94 + 65 * q^95 + 8 * q^96 - 266 * q^99

Introduction

L-functions

Modular forms

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