LMFDB - Embedded newform 280.2.br.a.107.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(67,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))

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

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

chi := DirichletCharacter("280.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.br (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$176$
Relative dimension:	$44$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			107.15
Character	$\chi$	$=$	280.107
Dual form			280.2.br.a.123.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.766666 - 1.18837i) q^{2} +(-0.767348 - 0.205610i) q^{3} +(-0.824448 + 1.82217i) q^{4} +(-0.436848 + 2.19298i) q^{5} +(0.343958 + 1.06953i) q^{6} +(1.34095 - 2.28076i) q^{7} +(2.79748 - 0.417242i) q^{8} +(-2.05153 - 1.18445i) q^{9} +O(q^{10})$	\(q+(-0.766666 - 1.18837i) q^{2} +(-0.767348 - 0.205610i) q^{3} +(-0.824448 + 1.82217i) q^{4} +(-0.436848 + 2.19298i) q^{5} +(0.343958 + 1.06953i) q^{6} +(1.34095 - 2.28076i) q^{7} +(2.79748 - 0.417242i) q^{8} +(-2.05153 - 1.18445i) q^{9} +(2.94099 - 1.16214i) q^{10} +(-2.69162 - 4.66202i) q^{11} +(1.00729 - 1.22872i) q^{12} +(-0.119049 - 0.119049i) q^{13} +(-3.73844 + 0.155030i) q^{14} +(0.786114 - 1.59296i) q^{15} +(-2.64057 - 3.00456i) q^{16} +(1.19588 - 4.46307i) q^{17} +(0.165270 + 3.34605i) q^{18} +(-1.01271 - 0.584690i) q^{19} +(-3.63581 - 2.60401i) q^{20} +(-1.49792 + 1.47442i) q^{21} +(-3.47664 + 6.77285i) q^{22} +(0.442952 - 0.118689i) q^{23} +(-2.23243 - 0.255021i) q^{24} +(-4.61833 - 1.91600i) q^{25} +(-0.0502036 + 0.232745i) q^{26} +(3.01591 + 3.01591i) q^{27} +(3.05037 + 4.32380i) q^{28} -5.92466 q^{29} +(-2.49571 + 0.287072i) q^{30} +(6.46598 - 3.73313i) q^{31} +(-1.54609 + 5.44147i) q^{32} +(1.10685 + 4.13082i) q^{33} +(-6.22062 + 2.00054i) q^{34} +(4.41586 + 3.93703i) q^{35} +(3.84964 - 2.76171i) q^{36} +(1.20649 + 4.50268i) q^{37} +(0.0815838 + 1.65174i) q^{38} +(0.0668744 + 0.115830i) q^{39} +(-0.307073 + 6.31710i) q^{40} -7.53811 q^{41} +(2.90056 + 0.649701i) q^{42} +(3.70533 - 3.70533i) q^{43} +(10.7141 - 1.06098i) q^{44} +(3.49368 - 3.98154i) q^{45} +(-0.480642 - 0.435396i) q^{46} +(-2.68167 - 10.0081i) q^{47} +(1.40847 + 2.84847i) q^{48} +(-3.40370 - 6.11677i) q^{49} +(1.26379 + 6.95721i) q^{50} +(-1.83531 + 3.17885i) q^{51} +(0.315077 - 0.118777i) q^{52} +(0.0105328 - 0.0393090i) q^{53} +(1.27183 - 5.89622i) q^{54} +(11.3995 - 3.86607i) q^{55} +(2.79966 - 6.93988i) q^{56} +(0.656885 + 0.656885i) q^{57} +(4.54223 + 7.04069i) q^{58} +(-3.51551 + 2.02968i) q^{59} +(2.25452 + 2.74574i) q^{60} +(7.68399 + 4.43635i) q^{61} +(-9.39359 - 4.82191i) q^{62} +(-5.45244 + 3.09075i) q^{63} +(7.65182 - 2.33445i) q^{64} +(0.313079 - 0.209066i) q^{65} +(4.06036 - 4.48230i) q^{66} +(0.494611 - 1.84591i) q^{67} +(7.14652 + 5.85866i) q^{68} -0.364302 q^{69} +(1.29316 - 8.26606i) q^{70} +9.18887i q^{71} +(-6.23332 - 2.45750i) q^{72} +(4.84593 + 1.29846i) q^{73} +(4.42588 - 4.88581i) q^{74} +(3.14991 + 2.41981i) q^{75} +(1.90033 - 1.36328i) q^{76} +(-14.2423 - 0.112618i) q^{77} +(0.0863785 - 0.168274i) q^{78} +(-1.88125 + 3.25842i) q^{79} +(7.74247 - 4.47818i) q^{80} +(1.85920 + 3.22023i) q^{81} +(5.77921 + 8.95806i) q^{82} +(2.95365 - 2.95365i) q^{83} +(-1.45168 - 3.94505i) q^{84} +(9.26502 + 4.57222i) q^{85} +(-7.24405 - 1.56255i) q^{86} +(4.54627 + 1.21817i) q^{87} +(-9.47495 - 11.9189i) q^{88} +(5.18897 + 2.99585i) q^{89} +(-7.41003 - 1.09928i) q^{90} +(-0.431161 + 0.111883i) q^{91} +(-0.148920 + 0.904984i) q^{92} +(-5.72923 + 1.53514i) q^{93} +(-9.83740 + 10.8597i) q^{94} +(1.72462 - 1.96544i) q^{95} +(2.30521 - 3.85761i) q^{96} +(12.9915 + 12.9915i) q^{97} +(-4.65949 + 8.73437i) q^{98} +12.7524i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$-1$	$e\left(\frac{1}{3}\right)$

Coefficient data

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

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

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

$2$	−0.766666	−	1.18837i	−0.542114	−	0.840305i
$2$	−0.766666	−	1.18837i	−0.542114	−	0.840305i
$3$	−0.767348	−	0.205610i	−0.443029	−	0.118709i	0.0304070	−	0.999538i	$-0.490320\pi$
$3$	−0.767348	−	0.205610i	−0.443029	−	0.118709i	−0.473436	+	0.880828i	$0.656986\pi$
$4$	−0.824448	+	1.82217i	−0.412224	+	0.911083i
$5$	−0.436848	+	2.19298i	−0.195365	+	0.980731i
$5$	−0.436848	+	2.19298i	−0.195365	+	0.980731i
$6$	0.343958	+	1.06953i	0.140420	+	0.436633i
$7$	1.34095	−	2.28076i	0.506832	−	0.862045i
$7$	1.34095	−	2.28076i	0.506832	−	0.862045i
$8$	2.79748	−	0.417242i	0.989059	−	0.147517i
$9$	−2.05153	−	1.18445i	−0.683843	−	0.394817i
$10$	2.94099	−	1.16214i	0.930023	−	0.367502i
$11$	−2.69162	−	4.66202i	−0.811554	−	1.40565i	−0.911776	−	0.410687i	$-0.865289\pi$
$11$	−2.69162	−	4.66202i	−0.811554	−	1.40565i	0.100223	−	0.994965i	$-0.468044\pi$
$12$	1.00729	−	1.22872i	0.290781	−	0.354701i
$13$	−0.119049	−	0.119049i	−0.0330183	−	0.0330183i	0.690405	−	0.723423i	$-0.257432\pi$
$13$	−0.119049	−	0.119049i	−0.0330183	−	0.0330183i	−0.723423	+	0.690405i	$0.757432\pi$
$14$	−3.73844	+	0.155030i	−0.999141	+	0.0414335i
$15$	0.786114	−	1.59296i	0.202974	−	0.411300i
$16$	−2.64057	−	3.00456i	−0.660143	−	0.751140i
$17$	1.19588	−	4.46307i	0.290043	−	1.08245i	−0.655032	−	0.755601i	$-0.727345\pi$
$17$	1.19588	−	4.46307i	0.290043	−	1.08245i	0.945075	−	0.326853i	$-0.105988\pi$
$18$	0.165270	+	3.34605i	0.0389546	+	0.788672i
$19$	−1.01271	−	0.584690i	−0.232332	−	0.134137i	0.379315	−	0.925267i	$-0.376160\pi$
$19$	−1.01271	−	0.584690i	−0.232332	−	0.134137i	−0.611647	+	0.791130i	$0.709493\pi$
$20$	−3.63581	−	2.60401i	−0.812993	−	0.582274i
$21$	−1.49792	+	1.47442i	−0.326874	+	0.321745i
$22$	−3.47664	+	6.77285i	−0.741221	+	1.44398i
$23$	0.442952	−	0.118689i	0.0923618	−	0.0247483i	−0.212342	−	0.977195i	$-0.568109\pi$
$23$	0.442952	−	0.118689i	0.0923618	−	0.0247483i	0.304704	+	0.952447i	$0.401442\pi$
$24$	−2.23243	−	0.255021i	−0.455693	−	0.0520560i
$25$	−4.61833	−	1.91600i	−0.923665	−	0.383200i
$26$	−0.0502036	+	0.232745i	−0.00984573	+	0.0456451i
$27$	3.01591	+	3.01591i	0.580413	+	0.580413i
$28$	3.05037	+	4.32380i	0.576466	+	0.817121i
$29$	−5.92466			−1.10018			−0.550091	−	0.835105i	$-0.685407\pi$
$29$	−5.92466			−1.10018			−0.550091	+	0.835105i	$0.685407\pi$
$30$	−2.49571	+	0.287072i	−0.455652	+	0.0524119i
$31$	6.46598	−	3.73313i	1.16132	−	0.670491i	0.209703	−	0.977765i	$-0.432750\pi$
$31$	6.46598	−	3.73313i	1.16132	−	0.670491i	0.951621	+	0.307274i	$0.0994169\pi$
$32$	−1.54609	+	5.44147i	−0.273314	+	0.961925i
$33$	1.10685	+	4.13082i	0.192678	+	0.719083i
$34$	−6.22062	+	2.00054i	−1.06683	+	0.343090i
$35$	4.41586	+	3.93703i	0.746417	+	0.665479i
$36$	3.84964	−	2.76171i	0.641607	−	0.460284i
$37$	1.20649	+	4.50268i	0.198346	+	0.740236i	0.991375	+	0.131053i	$0.0418358\pi$
$37$	1.20649	+	4.50268i	0.198346	+	0.740236i	−0.793030	+	0.609183i	$0.791498\pi$
$38$	0.0815838	+	1.65174i	0.0132346	+	0.267947i
$39$	0.0668744	+	0.115830i	0.0107085	+	0.0185476i
$40$	−0.307073	+	6.31710i	−0.0485524	+	0.998821i
$41$	−7.53811			−1.17725			−0.588627	−	0.808405i	$-0.700331\pi$
$41$	−7.53811			−1.17725			−0.588627	+	0.808405i	$0.700331\pi$
$42$	2.90056	+	0.649701i	0.447567	+	0.100251i
$43$	3.70533	−	3.70533i	0.565057	−	0.565057i	−0.365683	−	0.930740i	$-0.619164\pi$
$43$	3.70533	−	3.70533i	0.565057	−	0.565057i	0.930740	+	0.365683i	$0.119164\pi$
$44$	10.7141	−	1.06098i	1.61521	−	0.159949i
$45$	3.49368	−	3.98154i	0.520808	−	0.593533i
$46$	−0.480642	−	0.435396i	−0.0708668	−	0.0641957i
$47$	−2.68167	−	10.0081i	−0.391161	−	1.45983i	−0.828221	−	0.560401i	$-0.810647\pi$
$47$	−2.68167	−	10.0081i	−0.391161	−	1.45983i	0.437060	−	0.899432i	$-0.356020\pi$
$48$	1.40847	+	2.84847i	0.203295	+	0.411142i
$49$	−3.40370	−	6.11677i	−0.486242	−	0.873824i
$50$	1.26379	+	6.95721i	0.178727	+	0.983899i
$51$	−1.83531	+	3.17885i	−0.256994	+	0.445127i
$52$	0.315077	−	0.118777i	0.0436933	−	0.0164715i
$53$	0.0105328	−	0.0393090i	0.00144679	−	0.00539950i	−0.965199	−	0.261518i	$-0.915777\pi$
$53$	0.0105328	−	0.0393090i	0.00144679	−	0.00539950i	0.966645	+	0.256118i	$0.0824437\pi$
$54$	1.27183	−	5.89622i	0.173074	−	0.802374i
$55$	11.3995	−	3.86607i	1.53711	−	0.521301i
$56$	2.79966	−	6.93988i	0.374121	−	0.927380i
$57$	0.656885	+	0.656885i	0.0870065	+	0.0870065i
$58$	4.54223	+	7.04069i	0.596424	+	0.924488i
$59$	−3.51551	+	2.02968i	−0.457680	+	0.264242i	−0.711068	−	0.703123i	$-0.751788\pi$
$59$	−3.51551	+	2.02968i	−0.457680	+	0.264242i	0.253388	+	0.967365i	$0.418455\pi$
$60$	2.25452	+	2.74574i	0.291058	+	0.354474i
$61$	7.68399	+	4.43635i	0.983834	+	0.568017i	0.903425	−	0.428745i	$-0.141044\pi$
$61$	7.68399	+	4.43635i	0.983834	+	0.568017i	0.0804083	+	0.996762i	$0.474378\pi$
$62$	−9.39359	−	4.82191i	−1.19299	−	0.612383i
$63$	−5.45244	+	3.09075i	−0.686943	+	0.389397i
$64$	7.65182	−	2.33445i	0.956477	−	0.291807i
$65$	0.313079	−	0.209066i	0.0388327	−	0.0259314i
$66$	4.06036	−	4.48230i	0.499795	−	0.551733i
$67$	0.494611	−	1.84591i	0.0604263	−	0.225514i	−0.929109	−	0.369807i	$-0.879424\pi$
$67$	0.494611	−	1.84591i	0.0604263	−	0.225514i	0.989535	+	0.144293i	$0.0460906\pi$
$68$	7.14652	+	5.85866i	0.866643	+	0.710466i
$69$	−0.364302			−0.0438568
$70$	1.29316	−	8.26606i	0.154562	−	0.987983i
$71$			9.18887i			1.09052i	0.838268	+	0.545259i	$0.183569\pi$
$71$			9.18887i			1.09052i	−0.838268	+	0.545259i	$0.816431\pi$
$72$	−6.23332	−	2.45750i	−0.734604	−	0.289619i
$73$	4.84593	+	1.29846i	0.567173	+	0.151973i	0.531000	−	0.847372i	$-0.321817\pi$
$73$	4.84593	+	1.29846i	0.567173	+	0.151973i	0.0361731	+	0.999346i	$0.488483\pi$
$74$	4.42588	−	4.88581i	0.514498	−	0.567963i
$75$	3.14991	+	2.41981i	0.363721	+	0.279416i
$76$	1.90033	−	1.36328i	0.217983	−	0.156379i
$77$	−14.2423	−	0.112618i	−1.62306	−	0.0128341i
$78$	0.0863785	−	0.168274i	0.00978043	−	0.0190533i
$79$	−1.88125	+	3.25842i	−0.211657	+	0.366601i	−0.952233	−	0.305371i	$-0.901219\pi$
$79$	−1.88125	+	3.25842i	−0.211657	+	0.366601i	0.740576	+	0.671973i	$0.234553\pi$
$80$	7.74247	−	4.47818i	0.865635	−	0.500676i
$81$	1.85920	+	3.22023i	0.206578	+	0.357803i
$82$	5.77921	+	8.95806i	0.638206	+	0.989252i
$83$	2.95365	−	2.95365i	0.324205	−	0.324205i	−0.526173	−	0.850378i	$-0.676373\pi$
$83$	2.95365	−	2.95365i	0.324205	−	0.324205i	0.850378	+	0.526173i	$0.176373\pi$
$84$	−1.45168	−	3.94505i	−0.158391	−	0.430440i
$85$	9.26502	+	4.57222i	1.00493	+	0.495927i
$86$	−7.24405	−	1.56255i	−0.781146	−	0.168495i
$87$	4.54627	+	1.21817i	0.487412	+	0.130602i
$88$	−9.47495	−	11.9189i	−1.01003	−	1.27056i
$89$	5.18897	+	2.99585i	0.550030	+	0.317560i	0.749134	−	0.662419i	$-0.230470\pi$
$89$	5.18897	+	2.99585i	0.550030	+	0.317560i	−0.199104	+	0.979978i	$0.563803\pi$
$90$	−7.41003	−	1.09928i	−0.781086	−	0.115875i
$91$	−0.431161	+	0.111883i	−0.0451980	+	0.0117285i
$92$	−0.148920	+	0.904984i	−0.0155260	+	0.0943511i
$93$	−5.72923	+	1.53514i	−0.594093	+	0.159187i
$94$	−9.83740	+	10.8597i	−1.01465	+	1.12009i
$95$	1.72462	−	1.96544i	0.176942	−	0.201650i
$96$	2.30521	−	3.85761i	0.235275	−	0.393715i
$97$	12.9915	+	12.9915i	1.31909	+	1.31909i	0.914497	+	0.404594i	$0.132587\pi$
$97$	12.9915	+	12.9915i	1.31909	+	1.31909i	0.404594	+	0.914497i	$0.367413\pi$
$98$	−4.65949	+	8.73437i	−0.470679	+	0.882304i
$99$			12.7524i			1.28166i
$100$	7.29884	−	6.83571i	0.729884	−	0.683571i
$101$	−8.19264	+	4.73002i	−0.815198	+	0.470655i	−0.848758	−	0.528782i	$-0.822649\pi$
$101$	−8.19264	+	4.73002i	−0.815198	+	0.470655i	0.0335596	+	0.999437i	$0.489316\pi$
$102$	5.18471	−	0.256087i	0.513363	−	0.0253564i
$103$	2.47627	−	0.663515i	0.243994	−	0.0653781i	−0.134749	−	0.990880i	$-0.543023\pi$
$103$	2.47627	−	0.663515i	0.243994	−	0.0653781i	0.378744	+	0.925502i	$0.376356\pi$
$104$	−0.382710	−	0.283366i	−0.0375278	−	0.0277863i
$105$	−2.57901	−	3.92902i	−0.251686	−	0.383433i
$106$	−0.0547887	+	0.0176200i	−0.00532155	+	0.00171140i
$107$	−13.2816	+	3.55879i	−1.28398	+	0.344042i	−0.835371	−	0.549686i	$-0.814747\pi$
$107$	−13.2816	+	3.55879i	−1.28398	+	0.344042i	−0.448610	+	0.893728i	$0.648081\pi$
$108$	−7.98196	+	3.00903i	−0.768064	+	0.289544i
$109$	−4.79018	−	8.29684i	−0.458816	−	0.794693i	0.540082	−	0.841612i	$-0.318393\pi$
$109$	−4.79018	−	8.29684i	−0.458816	−	0.794693i	−0.998899	+	0.0469190i	$0.985060\pi$
$110$	−13.3340	−	10.5829i	−1.27134	−	1.00904i
$111$		−	3.70319i		−	0.351491i
$112$	−10.3935	+	1.99353i	−0.982098	+	0.188371i
$113$	11.2748	−	11.2748i	1.06065	−	1.06065i	0.0626076	−	0.998038i	$-0.480058\pi$
$113$	11.2748	−	11.2748i	1.06065	−	1.06065i	0.998038	−	0.0626076i	$-0.0199417\pi$
$114$	0.277011	−	1.28423i	0.0259445	−	0.120279i
$115$	0.0667789	+	1.02323i	0.00622716	+	0.0954170i
$116$	4.88457	−	10.7957i	0.453521	−	1.00236i
$117$	0.103225	+	0.385241i	0.00954315	+	0.0356155i
$118$	5.10723	+	2.62164i	0.470158	+	0.241341i
$119$	−8.57557	−	8.71227i	−0.786121	−	0.798652i
$120$	1.53449	−	4.78427i	0.140079	−	0.436742i
$121$	−8.98962	+	15.5705i	−0.817239	+	1.41550i
$122$	−0.619019	−	12.5326i	−0.0560434	−	1.13465i
$123$	5.78435	+	1.54991i	0.521557	+	0.139751i
$124$	1.47153	+	14.8599i	0.132147	+	1.33445i
$125$	6.21926	−	9.29090i	0.556268	−	0.831003i
$126$	7.85315	+	4.10995i	0.699614	+	0.366144i
$127$	−3.70739	+	3.70739i	−0.328978	+	0.328978i	−0.852198	−	0.523220i	$-0.824731\pi$
$127$	−3.70739	+	3.70739i	−0.328978	+	0.328978i	0.523220	+	0.852198i	$0.324731\pi$
$128$	−8.64058	−	7.30345i	−0.763727	−	0.645540i
$129$	−3.60513	+	2.08142i	−0.317414	+	0.183259i
$130$	−0.488475	−	0.211770i	−0.0428421	−	0.0185735i
$131$	7.52998	−	13.0423i	0.657898	−	1.13951i	−0.323261	−	0.946310i	$-0.604779\pi$
$131$	7.52998	−	13.0423i	0.657898	−	1.13951i	0.981159	−	0.193202i	$-0.0618873\pi$
$132$	−8.43957	−	1.38878i	−0.734570	−	0.120878i
$133$	−2.69153	+	1.52571i	−0.233386	+	0.132296i
$134$	−2.57283	+	0.827417i	−0.222258	+	0.0714779i
$135$	−7.93134	+	5.29634i	−0.682621	+	0.455837i
$136$	1.48326	−	12.9843i	0.127189	−	1.11340i
$137$	−0.883193	+	3.29612i	−0.0754562	+	0.281607i	−0.993336	−	0.115251i	$-0.963233\pi$
$137$	−0.883193	+	3.29612i	−0.0754562	+	0.281607i	0.917880	+	0.396858i	$0.129899\pi$
$138$	0.279298	+	0.432925i	0.0237754	+	0.0368530i
$139$		−	9.82604i		−	0.833434i	−0.909036	−	0.416717i	$-0.863181\pi$
$139$		−	9.82604i		−	0.833434i	0.909036	−	0.416717i	$-0.136819\pi$
$140$	−10.8146	+	4.80056i	−0.913997	+	0.405721i
$141$			8.23108i			0.693182i
$142$	10.9198	−	7.04479i	0.916367	−	0.591185i
$143$	−0.234575	+	0.875444i	−0.0196161	+	0.0732083i
$144$	1.85846	+	9.29157i	0.154871	+	0.774297i
$145$	2.58818	−	12.9927i	0.214936	−	1.07898i
$146$	−2.17215	−	6.75424i	−0.179768	−	0.558985i
$147$	1.35415	+	5.39352i	0.111688	+	0.444850i
$148$	−9.19931	−	1.51380i	−0.756179	−	0.124434i
$149$	−8.24169	+	14.2750i	−0.675186	+	1.16946i	0.301229	+	0.953552i	$0.402603\pi$
$149$	−8.24169	+	14.2750i	−0.675186	+	1.16946i	−0.976415	+	0.215904i	$0.930730\pi$
$150$	0.460705	−	5.59845i	0.0376164	−	0.457112i
$151$	−17.1231	+	9.88604i	−1.39346	+	0.804515i	−0.993697	−	0.112104i	$-0.964241\pi$
$151$	−17.1231	+	9.88604i	−1.39346	+	0.804515i	−0.399764	+	0.916618i	$0.630908\pi$
$152$	−3.07700	−	1.21311i	−0.249578	−	0.0983965i
$153$	−7.73967	+	7.73967i	−0.625715	+	0.625715i
$154$	10.7852	+	17.0114i	0.869098	+	1.37082i
$155$	5.36204	+	15.8106i	0.430689	+	1.26994i
$156$	−0.266196	+	0.0263605i	−0.0213127	+	0.00211053i
$157$	13.6659	+	3.66177i	1.09066	+	0.292241i	0.758956	−	0.651142i	$-0.225710\pi$
$157$	13.6659	+	3.66177i	1.09066	+	0.292241i	0.331704	+	0.943384i	$0.392376\pi$
$158$	5.31451	−	0.262498i	0.422799	−	0.0208832i
$159$	−0.0161647	+	0.0279980i	−0.00128194	+	0.00222039i
$160$	−11.2576	−	5.76765i	−0.889994	−	0.455973i
$161$	0.323277	−	1.16942i	0.0254778	−	0.0921632i
$162$	2.40144	−	4.67825i	0.188675	−	0.367558i
$163$	−4.99667	−	18.6478i	−0.391369	−	1.46061i	−0.827877	−	0.560909i	$-0.810452\pi$
$163$	−4.99667	−	18.6478i	−0.391369	−	1.46061i	0.436508	−	0.899700i	$-0.356215\pi$
$164$	6.21477	−	13.7357i	0.485292	−	1.07258i
$165$	−9.54233	+	0.622757i	−0.742869	+	0.0484816i
$166$	−5.77449	−	1.24557i	−0.448188	−	0.0966748i
$167$	1.95461	−	1.95461i	0.151252	−	0.151252i	−0.627425	−	0.778677i	$-0.715891\pi$
$167$	1.95461	−	1.95461i	0.151252	−	0.151252i	0.778677	+	0.627425i	$0.215891\pi$
$168$	−3.57523	+	4.74966i	−0.275835	+	0.366444i
$169$		−	12.9717i		−	0.997820i
$170$	−1.66968	−	14.5156i	−0.128058	−	1.11330i
$171$	1.38507	+	2.39902i	0.105919	+	0.183457i
$172$	3.69687	+	9.80657i	0.281884	+	0.747744i
$173$	−11.6075	+	3.11023i	−0.882505	+	0.236467i	−0.671488	−	0.741016i	$-0.734344\pi$
$173$	−11.6075	+	3.11023i	−0.882505	+	0.236467i	−0.211018	+	0.977482i	$0.567678\pi$
$174$	−2.03783	−	6.33659i	−0.154488	−	0.480375i
$175$	−10.5629	+	7.96401i	−0.798479	+	0.602023i
$176$	−6.89991	+	20.3975i	−0.520100	+	1.53752i
$177$	3.11494	−	0.834646i	0.234133	−	0.0627358i
$178$	−0.418022	−	8.46323i	−0.0313320	−	0.634346i
$179$	21.2942	−	12.2942i	1.59161	−	0.918915i	0.598575	−	0.801067i	$-0.295734\pi$
$179$	21.2942	−	12.2942i	1.59161	−	0.918915i	0.993032	−	0.117848i	$-0.0375995\pi$
$180$	4.37466	+	9.64864i	0.326068	+	0.719167i
$181$		−	7.57133i		−	0.562772i	−0.959595	−	0.281386i	$-0.909206\pi$
$181$		−	7.57133i		−	0.562772i	0.959595	−	0.281386i	$-0.0907942\pi$
$182$	0.463515	+	0.426602i	0.0343580	+	0.0316219i
$183$	−4.98413	−	4.98413i	−0.368438	−	0.368438i
$184$	1.18963	−	0.516847i	0.0877005	−	0.0381025i
$185$	−10.4013	+	0.678819i	−0.764722	+	0.0499077i
$186$	6.21672	+	5.63150i	0.455832	+	0.412922i
$187$	−24.0258	+	6.43769i	−1.75694	+	0.470771i
$188$	20.4473	+	3.36473i	1.49127	+	0.245398i
$189$	10.9228	−	2.83437i	0.794514	−	0.206170i
$190$	−3.65787	−	0.542648i	−0.265370	−	0.0393678i
$191$	16.8037	+	9.70160i	1.21587	+	0.701983i	0.964032	−	0.265786i	$-0.0856314\pi$
$191$	16.8037	+	9.70160i	1.21587	+	0.701983i	0.251839	+	0.967769i	$0.418965\pi$
$192$	−6.35160	+	0.218046i	−0.458387	+	0.0157361i
$193$	−6.48861	−	1.73862i	−0.467060	−	0.125148i	0.0176109	−	0.999845i	$-0.494394\pi$
$193$	−6.48861	−	1.73862i	−0.467060	−	0.125148i	−0.484671	+	0.874697i	$0.661061\pi$
$194$	5.47859	−	25.3989i	0.393340	−	1.82354i
$195$	−0.283227	+	0.0960541i	−0.0202823	+	0.00687858i
$196$	13.9519	−	1.15914i	0.996567	−	0.0827959i
$197$	17.5468	−	17.5468i	1.25016	−	1.25016i	0.294511	−	0.955648i	$-0.404843\pi$
$197$	17.5468	−	17.5468i	1.25016	−	1.25016i	0.955648	−	0.294511i	$-0.0951569\pi$
$198$	15.1545	−	9.77680i	1.07699	−	0.694807i
$199$	2.17765	+	3.77180i	0.154369	+	0.267376i	0.932829	−	0.360319i	$-0.117332\pi$
$199$	2.17765	+	3.77180i	0.154369	+	0.267376i	−0.778460	+	0.627694i	$0.783999\pi$
$200$	−13.7191	−	3.43302i	−0.970089	−	0.242751i
$201$	−0.759077	+	1.31476i	−0.0535412	+	0.0927360i
$202$	11.9020	+	6.10954i	0.837424	+	0.429866i
$203$	−7.94468	+	13.5127i	−0.557607	+	0.948406i
$204$	−4.27927	−	5.96503i	−0.299609	−	0.417635i
$205$	3.29301	−	16.5309i	0.229994	−	1.15457i
$206$	−2.68697	−	2.43403i	−0.187210	−	0.169587i
$207$	−1.04931	−	0.281161i	−0.0729320	−	0.0195421i
$208$	−0.0433325	+	0.672048i	−0.00300457	+	0.0465982i
$209$			6.29505i			0.435438i
$210$	−2.69189	+	6.07706i	−0.185758	+	0.419357i
$211$	−13.2292			−0.910733			−0.455366	−	0.890304i	$-0.650492\pi$
$211$	−13.2292			−0.910733			−0.455366	+	0.890304i	$0.650492\pi$
$212$	0.0629437	+	0.0516007i	0.00432299	+	0.00354395i
$213$	1.88933	−	7.05106i	0.129454	−	0.483131i
$214$	14.4117	+	13.0551i	0.985164	+	0.892425i
$215$	6.50704	+	9.74438i	0.443777	+	0.664561i
$216$	9.69533	+	7.17860i	0.659684	+	0.488442i
$217$	0.156196	−	19.7533i	0.0106033	−	1.34094i
$218$	−6.18725	+	12.0534i	−0.419053	+	0.816360i
$219$	−3.45153	−	1.99274i	−0.233233	−	0.134657i
$220$	−2.35371	+	23.9592i	−0.158687	+	1.61533i
$221$	−0.673693	+	0.388957i	−0.0453175	+	0.0261641i
$222$	−4.40076	+	2.83911i	−0.295360	+	0.190548i
$223$	2.91832	+	2.91832i	0.195425	+	0.195425i	0.798035	−	0.602610i	$-0.205873\pi$
$223$	2.91832	+	2.91832i	0.195425	+	0.195425i	−0.602610	+	0.798035i	$0.705873\pi$
$224$	10.3374	+	10.8230i	0.690698	+	0.723143i
$225$	7.20522	+	9.40091i	0.480348	+	0.626727i
$226$	−22.0427	−	4.75464i	−1.46626	−	0.316274i
$227$	0.138065	−	0.515266i	0.00916370	−	0.0341994i	−0.961193	−	0.275878i	$-0.911031\pi$
$227$	0.138065	−	0.515266i	0.00916370	−	0.0341994i	0.970356	+	0.241679i	$0.0776980\pi$
$228$	−1.73852	+	0.655385i	−0.115136	+	0.0434040i
$229$	8.93313	−	15.4726i	0.590318	−	1.02246i	−0.403872	−	0.914816i	$-0.632336\pi$
$229$	8.93313	−	15.4726i	0.590318	−	1.02246i	0.994189	−	0.107645i	$-0.0343310\pi$
$230$	1.16478	−	0.863836i	0.0768035	−	0.0569596i
$231$	10.9056	+	3.01477i	0.717537	+	0.198358i
$232$	−16.5741	+	2.47202i	−1.08814	+	0.162296i
$233$	0.835102	+	3.11664i	0.0547094	+	0.204178i	0.987870	−	0.155280i	$-0.0496281\pi$
$233$	0.835102	+	3.11664i	0.0547094	+	0.204178i	−0.933161	+	0.359459i	$0.882961\pi$
$234$	0.378669	−	0.418020i	0.0247544	−	0.0273268i
$235$	23.1191	−	1.50881i	1.50812	−	0.0984240i
$236$	−0.800058	−	8.07920i	−0.0520793	−	0.525911i
$237$	2.11354	−	2.11354i	0.137289	−	0.137289i
$238$	−3.77881	+	16.8703i	−0.244944	+	1.09354i
$239$	−1.25300			−0.0810499			−0.0405250	−	0.999179i	$-0.512903\pi$
$239$	−1.25300			−0.0810499			−0.0405250	+	0.999179i	$0.512903\pi$
$240$	−6.86193	+	1.84439i	−0.442936	+	0.119055i
$241$	10.2257	+	17.7115i	0.658697	+	1.14090i	0.980953	+	0.194244i	$0.0622252\pi$
$241$	10.2257	+	17.7115i	0.658697	+	1.14090i	−0.322257	+	0.946652i	$0.604441\pi$
$242$	25.3955	−	1.25435i	1.63249	−	0.0806329i
$243$	−4.07624	−	15.2128i	−0.261491	−	0.975899i
$244$	−14.4188	+	10.3440i	−0.923070	+	0.662204i
$245$	14.9009	−	4.79214i	0.951981	−	0.306159i
$246$	−2.59279	−	8.06221i	−0.165310	−	0.514028i
$247$	0.0509557	+	0.190169i	0.00324224	+	0.0121002i
$248$	16.5308	−	13.1413i	1.04971	−	0.834471i
$249$	−2.87378	+	1.65918i	−0.182118	+	0.105146i
$250$	−15.8091	−	0.267772i	−0.999857	−	0.0169354i
$251$	−1.97480			−0.124648			−0.0623241	−	0.998056i	$-0.519851\pi$
$251$	−1.97480			−0.124648			−0.0623241	+	0.998056i	$0.519851\pi$
$252$	−1.13659	−	12.4834i	−0.0715986	−	0.786381i
$253$	−1.74559	−	1.74559i	−0.109744	−	0.109744i
$254$	7.24808	+	1.56342i	0.454785	+	0.0980980i
$255$	−6.16940	−	5.41347i	−0.386343	−	0.339005i
$256$	−2.05476	+	15.8675i	−0.128423	+	0.991720i
$257$	27.8916	−	7.47352i	1.73983	−	0.466185i	0.757419	−	0.652929i	$-0.226460\pi$
$257$	27.8916	−	7.47352i	1.73983	−	0.466185i	0.982409	+	0.186744i	$0.0597935\pi$
$258$	5.23743	+	2.68847i	0.326068	+	0.167377i
$259$	11.8874	+	3.28617i	0.738644	+	0.204193i
$260$	0.122836	+	0.742845i	0.00761794	+	0.0460693i
$261$	12.1546	+	7.01747i	0.752351	+	0.434370i
$262$	−21.2721	+	1.05068i	−1.31419	+	0.0649115i
$263$	7.56677	−	28.2396i	0.466587	−	1.74133i	−0.184988	−	0.982741i	$-0.559225\pi$
$263$	7.56677	−	28.2396i	0.466587	−	1.74133i	0.651574	−	0.758585i	$-0.274109\pi$
$264$	4.81994	+	11.0941i	0.296647	+	0.682792i
$265$	0.0816025	+	0.0402703i	0.00501280	+	0.00247378i
$266$	3.87661	+	2.02883i	0.237690	+	0.124396i
$267$	−3.36577	−	3.36577i	−0.205982	−	0.205982i
$268$	2.95578	+	2.42312i	0.180553	+	0.148016i
$269$	9.37385	+	16.2360i	0.571534	+	0.989925i	0.996409	+	0.0846732i	$0.0269846\pi$
$269$	9.37385	+	16.2360i	0.571534	+	0.989925i	−0.424875	+	0.905252i	$0.639682\pi$
$270$	12.3747	+	5.36484i	0.753100	+	0.326494i
$271$	−5.88755	−	3.39918i	−0.357643	−	0.206485i	0.310403	−	0.950605i	$-0.399536\pi$
$271$	−5.88755	−	3.39918i	−0.357643	−	0.206485i	−0.668046	+	0.744120i	$0.732869\pi$
$272$	−16.5674	+	8.19198i	−1.00454	+	0.496712i
$273$	0.353855	+	0.00279805i	0.0214163	+	0.000169346i
$274$	4.59412	−	1.47746i	0.277541	−	0.0892567i
$275$	3.49834	+	26.6879i	0.210958	+	1.60934i
$276$	0.300348	−	0.663818i	0.0180788	−	0.0399571i
$277$	4.03531	+	1.08126i	0.242458	+	0.0649666i	0.378002	−	0.925805i	$-0.376611\pi$
$277$	4.03531	+	1.08126i	0.242458	+	0.0649666i	−0.135543	+	0.990771i	$0.543278\pi$
$278$	−11.6770	+	7.53329i	−0.700339	+	0.451817i
$279$	−17.6869			−1.05888
$280$	13.9960	+	9.17128i	0.836420	+	0.548089i
$281$	−20.8333			−1.24281			−0.621406	−	0.783489i	$-0.713438\pi$
$281$	−20.8333			−1.24281			−0.621406	+	0.783489i	$0.713438\pi$
$282$	9.78157	−	6.31049i	0.582484	−	0.375784i
$283$	−22.2817	−	5.97036i	−1.32451	−	0.354901i	−0.473844	−	0.880609i	$-0.657134\pi$
$283$	−22.2817	−	5.97036i	−1.32451	−	0.354901i	−0.850665	+	0.525708i	$0.823801\pi$
$284$	−16.7436	−	7.57574i	−0.993552	−	0.449538i
$285$	−1.72749	+	1.15358i	−0.102328	+	0.0683320i
$286$	1.22019	−	0.392412i	0.0721515	−	0.0232038i
$287$	−10.1082	+	17.1926i	−0.596670	+	1.01485i
$288$	9.61701	−	9.33206i	0.566688	−	0.549897i
$289$	−3.76647	−	2.17457i	−0.221557	−	0.127916i
$290$	−17.4244	+	6.88531i	−1.02319	+	0.404319i
$291$	−7.29783	−	12.6402i	−0.427807	−	0.740983i
$292$	−6.36122	+	7.75956i	−0.372263	+	0.454094i
$293$	−4.59070	−	4.59070i	−0.268191	−	0.268191i	0.560180	−	0.828371i	$-0.310732\pi$
$293$	−4.59070	−	4.59070i	−0.268191	−	0.268191i	−0.828371	+	0.560180i	$0.810732\pi$
$294$	5.37132	−	5.74426i	0.313262	−	0.335012i
$295$	−2.91530	−	8.59610i	−0.169735	−	0.500484i
$296$	5.25384	+	12.0928i	0.305373	+	0.702878i
$297$	5.94256	−	22.1779i	0.344822	−	1.28690i
$298$	23.2826	−	1.14999i	1.34873	−	0.0666172i
$299$	−0.0668628	−	0.0386032i	−0.00386677	−	0.00223248i
$300$	−7.00624	+	3.74465i	−0.404506	+	0.216198i
$301$	−3.48228	−	13.4196i	−0.200715	−	0.773494i
$302$	24.8760	+	12.7693i	1.43145	+	0.734792i
$303$	7.25915	−	1.94508i	0.417027	−	0.111742i
$304$	0.917404	+	4.58667i	0.0526167	+	0.263064i
$305$	−13.0856	+	14.9128i	−0.749278	+	0.853906i
$306$	15.1313	+	3.26385i	0.865000	+	0.186582i
$307$	2.21504	+	2.21504i	0.126419	+	0.126419i	0.767486	−	0.641066i	$-0.221508\pi$
$307$	2.21504	+	2.21504i	0.126419	+	0.126419i	−0.641066	+	0.767486i	$0.721508\pi$
$308$	11.9472	−	25.8589i	0.680756	−	1.47345i
$309$	−2.03659			−0.115857
$310$	14.6779	−	18.4935i	0.833650	−	1.05036i
$311$	−1.93996	+	1.12004i	−0.110005	+	0.0635115i	−0.553993	−	0.832521i	$-0.686897\pi$
$311$	−1.93996	+	1.12004i	−0.110005	+	0.0635115i	0.443988	+	0.896033i	$0.353563\pi$
$312$	0.235409	+	0.296129i	0.0133274	+	0.0167650i
$313$	6.97604	+	26.0349i	0.394309	+	1.47158i	0.822954	+	0.568108i	$0.192324\pi$
$313$	6.97604	+	26.0349i	0.394309	+	1.47158i	−0.428645	+	0.903473i	$0.641009\pi$
$314$	−6.12565	−	19.0475i	−0.345691	−	1.07491i
$315$	−4.39605	−	13.3073i	−0.247690	−	0.749781i
$316$	−4.38639	−	6.11435i	−0.246754	−	0.343959i
$317$	2.21586	+	8.26970i	0.124455	+	0.464473i	0.999820	−	0.0189906i	$-0.00604527\pi$
$317$	2.21586	+	8.26970i	0.124455	+	0.464473i	−0.875365	+	0.483463i	$0.839379\pi$
$318$	0.0456649	−	0.00225551i	0.00256076	−	0.000126483i
$319$	15.9469	+	27.6209i	0.892856	+	1.54647i
$320$	1.77673	+	17.8001i	0.0993221	+	0.995055i
$321$	10.9233			0.609681
$322$	−1.63755	+	0.512381i	−0.0912571	+	0.0285539i
$323$	−3.82059	+	3.82059i	−0.212584	+	0.212584i
$324$	−7.40060	+	0.732858i	−0.411144	+	0.0407144i
$325$	0.321710	+	0.777906i	0.0178452	+	0.0431505i
$326$	−18.3297	+	20.2345i	−1.01519	+	1.12069i
$327$	1.96982	+	7.35147i	0.108931	+	0.406537i
$328$	−21.0877	+	3.14521i	−1.16437	+	0.173665i
$329$	−26.4220	−	7.30417i	−1.45669	−	0.402692i
$330$	8.05584	+	10.8624i	0.443459	+	0.597954i
$331$	13.3331	−	23.0936i	0.732853	−	1.26934i	−0.222806	−	0.974863i	$-0.571522\pi$
$331$	13.3331	−	23.0936i	0.732853	−	1.26934i	0.955659	−	0.294476i	$-0.0951450\pi$
$332$	2.94691	+	7.81717i	0.161733	+	0.429023i
$333$	2.85805	−	10.6664i	0.156620	−	0.584515i
$334$	−3.82133	−	0.824267i	−0.209094	−	0.0451019i
$335$	3.83198	+	1.89106i	0.209363	+	0.103319i
$336$	8.38536	+	0.607289i	0.457459	+	0.0331303i
$337$	−4.03152	−	4.03152i	−0.219611	−	0.219611i	0.588723	−	0.808335i	$-0.299631\pi$
$337$	−4.03152	−	4.03152i	−0.219611	−	0.219611i	−0.808335	+	0.588723i	$0.799631\pi$
$338$	−15.4151	+	9.94492i	−0.838472	+	0.540932i
$339$	−10.9699	+	6.33349i	−0.595805	+	0.343988i
$340$	−15.9699	+	13.1128i	−0.866088	+	0.711143i
$341$	−34.8079	−	20.0963i	−1.88495	−	1.08828i
$342$	1.78903	−	3.48522i	0.0967398	−	0.188459i
$343$	−18.5150	−	0.439288i	−0.999719	−	0.0237193i
$344$	8.81957	−	11.9116i	0.475519	−	0.642231i
$345$	0.159145	−	0.798907i	0.00856806	−	0.0430117i
$346$	12.5952	+	11.4096i	0.677123	+	0.613381i
$347$	−1.04780	+	3.91043i	−0.0562486	+	0.209923i	−0.988330	−	0.152325i	$-0.951324\pi$
$347$	−1.04780	+	3.91043i	−0.0562486	+	0.209923i	0.932082	+	0.362248i	$0.117991\pi$
$348$	−5.96787	+	7.27975i	−0.319912	+	0.390235i
$349$	21.2965			1.13998			0.569989	−	0.821652i	$-0.306948\pi$
$349$	21.2965			1.13998			0.569989	+	0.821652i	$0.306948\pi$
$350$	17.5624	+	6.44688i	0.938749	+	0.344600i
$351$		−	0.718084i		−	0.0383285i
$352$	29.5297	−	7.43844i	1.57394	−	0.396470i
$353$	10.8742	+	2.91373i	0.578775	+	0.155082i	0.536318	−	0.844016i	$-0.319815\pi$
$353$	10.8742	+	2.91373i	0.578775	+	0.155082i	0.0424570	+	0.999098i	$0.486481\pi$
$354$	−3.37999	−	3.06181i	−0.179644	−	0.162733i
$355$	−20.1510	−	4.01414i	−1.06950	−	0.213049i
$356$	−9.73697	+	6.98523i	−0.516058	+	0.370217i
$357$	4.78911	+	8.44857i	0.253467	+	0.447146i
$358$	−30.9357	−	15.8799i	−1.63500	−	0.839278i
$359$	−5.64985	+	9.78583i	−0.298188	+	0.516476i	−0.975721	−	0.219015i	$-0.929716\pi$
$359$	−5.64985	+	9.78583i	−0.298188	+	0.516476i	0.677534	+	0.735492i	$0.263049\pi$
$360$	8.11226	−	12.5960i	0.427554	−	0.663867i
$361$	−8.81628	−	15.2702i	−0.464014	−	0.803697i
$362$	−8.99754	+	5.80468i	−0.472900	+	0.305087i
$363$	10.0996	−	10.0996i	0.530093	−	0.530093i
$364$	0.151601	−	0.877889i	0.00794604	−	0.0460139i
$365$	−4.96444	+	10.0598i	−0.259850	+	0.526553i
$366$	−2.10183	+	9.74416i	−0.109865	+	0.509335i
$367$	−11.2272	−	3.00832i	−0.586056	−	0.157033i	−0.0464060	−	0.998923i	$-0.514777\pi$
$367$	−11.2272	−	3.00832i	−0.586056	−	0.157033i	−0.539650	+	0.841889i	$0.681443\pi$
$368$	−1.52625	−	1.01747i	−0.0795614	−	0.0530393i
$369$	15.4646	+	8.92851i	0.805057	+	0.464800i
$370$	8.78104	+	11.8402i	0.456504	+	0.615544i
$371$	−0.0755302	−	0.0767342i	−0.00392133	−	0.00398384i
$372$	1.92617	−	11.7052i	0.0998671	−	0.606888i
$373$	20.7431	−	5.55810i	1.07404	−	0.287788i	0.321887	−	0.946778i	$-0.395683\pi$
$373$	20.7431	−	5.55810i	1.07404	−	0.287788i	0.752151	+	0.658991i	$0.229016\pi$
$374$	26.0701	+	23.6160i	1.34805	+	1.22115i
$375$	−6.68264	+	5.85061i	−0.345090	+	0.302124i
$376$	−11.6777	−	26.8786i	−0.602232	−	1.38616i
$377$	0.705325	+	0.705325i	0.0363261	+	0.0363261i
$378$	−11.7424	−	10.8073i	−0.603963	−	0.555866i
$379$			2.37518i			0.122005i	0.998138	+	0.0610025i	$0.0194297\pi$
$379$			2.37518i			0.122005i	−0.998138	+	0.0610025i	$0.980570\pi$
$380$	2.15950	+	4.76294i	0.110780	+	0.244333i
$381$	3.60714	−	2.08258i	0.184799	−	0.106694i
$382$	−1.35370	−	27.4069i	−0.0692612	−	1.40226i
$383$	15.4920	−	4.15107i	0.791604	−	0.212110i	0.159709	−	0.987164i	$-0.448944\pi$
$383$	15.4920	−	4.15107i	0.791604	−	0.212110i	0.631895	+	0.775054i	$0.282278\pi$
$384$	5.12867	+	7.38088i	0.261721	+	0.376654i
$385$	6.46868	−	31.1838i	0.329675	−	1.58927i
$386$	2.90847	+	9.04381i	0.148037	+	0.460318i
$387$	−11.9904	+	3.21281i	−0.609504	+	0.163316i
$388$	−34.3836	+	12.9619i	−1.74556	+	0.658040i
$389$	−10.6917	−	18.5186i	−0.542093	−	0.938932i	−0.998784	−	0.0493065i	$-0.984299\pi$
$389$	−10.6917	−	18.5186i	−0.542093	−	0.938932i	0.456691	−	0.889625i	$-0.349034\pi$
$390$	0.331288	+	0.262937i	0.0167754	+	0.0133143i
$391$		−	2.11886i		−	0.107156i
$392$	−12.0740	−	15.6914i	−0.609827	−	0.792535i
$393$	−8.45975	+	8.45975i	−0.426738	+	0.426738i
$394$	−34.3047	−	7.39958i	−1.72824	−	0.372785i
$395$	−6.32384	−	5.54899i	−0.318187	−	0.279200i
$396$	−23.2369	−	10.5137i	−1.16770	−	0.528331i
$397$	−1.56357	−	5.83531i	−0.0784731	−	0.292866i	0.915525	−	0.402260i	$-0.131775\pi$
$397$	−1.56357	−	5.83531i	−0.0784731	−	0.292866i	−0.993998	+	0.109395i	$0.965109\pi$
$398$	2.81277	−	5.47956i	0.140991	−	0.274666i
$399$	2.37904	−	0.617343i	0.119101	−	0.0309058i
$400$	6.43828	+	18.9354i	0.321914	+	0.946769i
$401$	13.4495	−	23.2953i	0.671638	−	1.16331i	−0.305801	−	0.952095i	$-0.598924\pi$
$401$	13.4495	−	23.2953i	0.671638	−	1.16331i	0.977439	−	0.211216i	$-0.0677423\pi$
$402$	2.14438	−	0.105917i	0.106952	−	0.00528264i
$403$	−1.21420	−	0.325343i	−0.0604834	−	0.0162065i
$404$	−1.86448	−	18.8280i	−0.0927613	−	0.936728i
$405$	−7.87408	+	2.67044i	−0.391266	+	0.132695i
$406$	22.1490	−	0.918500i	1.09924	−	0.0455844i
$407$	17.7442	−	17.7442i	0.879546	−	0.879546i
$408$	−3.80789	+	9.65853i	−0.188519	+	0.478169i
$409$	−0.789630	+	0.455893i	−0.0390447	+	0.0225425i	−0.519395	−	0.854534i	$-0.673843\pi$
$409$	−0.789630	+	0.455893i	−0.0390447	+	0.0225425i	0.480351	+	0.877077i	$0.340509\pi$
$410$	−22.1695	+	8.76037i	−1.09487	+	0.432644i
$411$	1.35543	−	2.34768i	0.0668585	−	0.115802i
$412$	−0.832523	+	5.05921i	−0.0410155	+	0.249249i
$413$	−0.0849226	+	10.7397i	−0.00417877	+	0.528467i
$414$	0.470345	+	1.46252i	0.0231162	+	0.0718792i
$415$	5.18700	+	7.76760i	0.254620	+	0.381296i
$416$	0.831864	−	0.463741i	0.0407855	−	0.0227368i
$417$	−2.02034	+	7.53999i	−0.0989362	+	0.369235i
$418$	7.48085	−	4.82620i	0.365900	−	0.236057i
$419$		−	10.0985i		−	0.493344i	−0.969099	−	0.246672i	$-0.920663\pi$
$419$		−	10.0985i		−	0.493344i	0.969099	−	0.246672i	$-0.0793370\pi$
$420$	9.28557	−	1.46011i	0.453090	−	0.0712462i
$421$		−	10.0925i		−	0.491879i	−0.969285	−	0.245939i	$-0.920904\pi$
$421$		−	10.0925i		−	0.491879i	0.969285	−	0.245939i	$-0.0790964\pi$
$422$	10.1423	+	15.7211i	0.493721	+	0.765293i
$423$	−6.35260	+	23.7082i	−0.308874	+	1.15273i
$424$	0.0130640	−	0.114361i	0.000634443	−	0.00555385i
$425$	−14.0742	+	18.3206i	−0.682699	+	0.888681i
$426$	−9.82775	+	3.16059i	−0.476156	+	0.153131i
$427$	20.4221	−	11.5764i	0.988294	−	0.560220i
$428$	4.46528	−	27.1353i	0.215837	−	1.31163i
$429$	0.360001	−	0.623540i	0.0173810	−	0.0301048i
$430$	6.59120	−	15.2035i	0.317856	−	0.733176i
$431$	5.88719	−	3.39897i	0.283576	−	0.163723i	−0.351465	−	0.936201i	$-0.614316\pi$
$431$	5.88719	−	3.39897i	0.283576	−	0.163723i	0.635041	+	0.772478i	$0.280983\pi$
$432$	1.09776	−	17.0252i	0.0528159	−	0.819127i
$433$	6.16109	−	6.16109i	0.296083	−	0.296083i	−0.543394	−	0.839477i	$-0.682861\pi$
$433$	6.16109	−	6.16109i	0.296083	−	0.296083i	0.839477	+	0.543394i	$0.182861\pi$
$434$	−23.5940	+	14.9585i	−1.13255	+	0.718033i
$435$	−4.65746	+	9.43774i	−0.223308	+	0.452505i
$436$	19.0675	−	1.88819i	0.913166	−	0.0904280i
$437$	−0.517979	−	0.138792i	−0.0247783	−	0.00663932i
$438$	0.278054	+	5.62947i	0.0132860	+	0.268986i
$439$	11.3098	−	19.5892i	0.539788	−	0.934940i	−0.459127	−	0.888370i	$-0.651838\pi$
$439$	11.3098	−	19.5892i	0.539788	−	0.934940i	0.998915	−	0.0465692i	$-0.0148288\pi$
$440$	30.2770	−	15.5716i	1.44340	−	0.742349i
$441$	−0.262228	+	16.5802i	−0.0124870	+	0.789535i
$442$	0.978722	+	0.502397i	0.0465531	+	0.0238966i
$443$	0.119860	+	0.447324i	0.00569473	+	0.0212530i	0.968715	−	0.248177i	$-0.0798314\pi$
$443$	0.119860	+	0.447324i	0.00569473	+	0.0212530i	−0.963020	+	0.269430i	$0.913165\pi$
$444$	6.74782	+	3.05309i	0.320237	+	0.144893i
$445$	−8.83664	+	10.0706i	−0.418897	+	0.477391i
$446$	1.23067	−	5.70542i	0.0582738	−	0.270159i
$447$	9.25934	−	9.25934i	0.437952	−	0.437952i
$448$	4.93640	−	20.5823i	0.233223	−	0.972423i
$449$		−	11.6208i		−	0.548418i	−0.961670	−	0.274209i	$-0.911584\pi$
$449$		−	11.6208i		−	0.548418i	0.961670	−	0.274209i	$-0.0884160\pi$
$450$	5.64777	−	15.7698i	0.266238	−	0.743397i
$451$	20.2897	+	35.1428i	0.955405	+	1.65481i
$452$	11.2491	+	29.8401i	0.529112	+	1.40356i
$453$	15.1721	−	4.06534i	0.712846	−	0.191006i
$454$	−0.718176	+	0.230964i	−0.0337057	+	0.0108397i
$455$	−0.0570049	−	0.994404i	−0.00267243	−	0.0466184i
$456$	2.11170	+	1.56354i	0.0988896	+	0.0732196i
$457$	0.782731	−	0.209732i	0.0366146	−	0.00981086i	−0.240465	−	0.970658i	$-0.577300\pi$
$457$	0.782731	−	0.209732i	0.0366146	−	0.00981086i	0.277080	+	0.960847i	$0.410633\pi$
$458$	−25.2359	+	1.24647i	−1.17920	+	0.0582437i
$459$	17.0669	−	9.85359i	0.796615	−	0.459926i
$460$	−1.91956	−	0.721920i	−0.0894998	−	0.0336597i
$461$			19.4636i			0.906511i	0.891381	+	0.453256i	$0.149738\pi$
$461$			19.4636i			0.906511i	−0.891381	+	0.453256i	$0.850262\pi$
$462$	−4.77829	−	15.2712i	−0.222306	−	0.710482i
$463$	−11.6543	−	11.6543i	−0.541620	−	0.541620i	0.382383	−	0.924004i	$-0.375103\pi$
$463$	−11.6543	−	11.6543i	−0.541620	−	0.541620i	−0.924004	+	0.382383i	$0.875103\pi$
$464$	15.6445	+	17.8010i	0.726277	+	0.826390i
$465$	−0.863732	−	13.2347i	−0.0400546	−	0.613745i
$466$	3.06348	−	3.38183i	0.141913	−	0.156660i
$467$	−14.4819	+	3.88041i	−0.670143	+	0.179564i	−0.577819	−	0.816165i	$-0.696096\pi$
$467$	−14.4819	+	3.88041i	−0.670143	+	0.179564i	−0.0923235	+	0.995729i	$0.529429\pi$
$468$	−0.787076	−	0.129518i	−0.0363826	−	0.00598697i
$469$	−3.54683	−	3.60336i	−0.163777	−	0.166388i
$470$	−19.5176	−	26.3173i	−0.900281	−	1.21393i
$471$	−9.73362	−	5.61971i	−0.448502	−	0.258943i
$472$	−8.98770	+	7.14481i	−0.413693	+	0.328866i
$473$	−27.2476	−	7.30098i	−1.25285	−	0.335700i
$474$	−4.13205	−	0.891290i	−0.189791	−	0.0409383i
$475$	3.55677	+	4.64065i	0.163196	+	0.212927i
$476$	22.9453	−	8.44329i	1.05170	−	0.386998i
$477$	−0.0681679	+	0.0681679i	−0.00312119	+	0.00312119i
$478$	0.960633	+	1.48903i	0.0439383	+	0.0681066i
$479$	−0.983519	−	1.70350i	−0.0449381	−	0.0778351i	0.842681	−	0.538412i	$-0.180976\pi$
$479$	−0.983519	−	1.70350i	−0.0449381	−	0.0778351i	−0.887620	+	0.460577i	$0.847642\pi$
$480$	7.45263	+	6.74048i	0.340164	+	0.307659i
$481$	0.392409	−	0.679672i	0.0178923	−	0.0309904i
$482$	13.2081	−	25.7307i	0.601611	−	1.17200i
$483$	−0.488511	+	0.830883i	−0.0222280	+	0.0378065i
$484$	−20.9605	−	29.2176i	−0.952751	−	1.32807i
$485$	−34.1655	+	22.8148i	−1.55138	+	1.03597i
$486$	−14.9533	+	16.5072i	−0.678294	+	0.748781i
$487$	−14.3433	−	3.84327i	−0.649955	−	0.174155i	−0.0812467	−	0.996694i	$-0.525890\pi$
$487$	−14.3433	−	3.84327i	−0.649955	−	0.174155i	−0.568709	+	0.822539i	$0.692557\pi$
$488$	23.3469	+	9.20454i	1.05686	+	0.416670i
$489$			15.3367i			0.693551i
$490$	−17.1188	−	14.0338i	−0.773349	−	0.633981i
$491$	20.8692			0.941815			0.470908	−	0.882183i	$-0.343927\pi$
$491$	20.8692			0.941815			0.470908	+	0.882183i	$0.343927\pi$
$492$	−7.59309	+	9.26222i	−0.342323	+	0.417573i
$493$	−7.08516	+	26.4422i	−0.319100	+	1.19090i
$494$	0.186926	−	0.206351i	0.00841018	−	0.00928415i
$495$	−27.9657	−	5.57085i	−1.25696	−	0.250391i
$496$	−28.2903	−	9.56981i	−1.27027	−	0.429697i
$497$	20.9576	+	12.3218i	0.940075	+	0.552709i
$498$	4.17494	+	2.14308i	0.187084	+	0.0960337i
$499$	4.30547	+	2.48577i	0.192739	+	0.111278i	0.593264	−	0.805008i	$-0.297839\pi$
$499$	4.30547	+	2.48577i	0.192739	+	0.111278i	−0.400525	+	0.916286i	$0.631172\pi$
$500$	11.8021	+	18.9924i	0.527806	+	0.849365i
$501$	−1.90175	+	1.09798i	−0.0849639	+	0.0490540i
$502$	1.51401	+	2.34679i	0.0675736	+	0.104743i
$503$	28.4743	+	28.4743i	1.26961	+	1.26961i	0.946291	+	0.323316i	$0.104798\pi$
$503$	28.4743	+	28.4743i	1.26961	+	1.26961i	0.323316	+	0.946291i	$0.395202\pi$
$504$	−13.9635	+	10.9213i	−0.621985	+	0.486473i
$505$	−6.79391	−	20.0326i	−0.302325	−	0.891439i
$506$	−0.736122	+	3.41268i	−0.0327246	+	0.151712i
$507$	−2.66711	+	9.95377i	−0.118450	+	0.442063i
$508$	−3.69893	−	9.81203i	−0.164113	−	0.435338i
$509$	−19.2568	+	33.3538i	−0.853543	+	1.47838i	0.0244463	+	0.999701i	$0.492218\pi$
$509$	−19.2568	+	33.3538i	−0.853543	+	1.47838i	−0.877990	+	0.478679i	$0.841116\pi$
$510$	−1.70334	+	11.4818i	−0.0754252	+	0.508425i
$511$	9.45963	−	9.31120i	0.418469	−	0.411903i
$512$	20.4318	−	9.72326i	0.902966	−	0.429711i
$513$	−1.29088	−	4.81763i	−0.0569937	−	0.212704i
$514$	−30.2648	−	27.4158i	−1.33492	−	1.20926i
$515$	0.373320	+	5.72027i	0.0164504	+	0.252065i
$516$	−0.820454	−	8.28516i	−0.0361185	−	0.364734i
$517$	−39.4400	+	39.4400i	−1.73457	+	1.73457i
$518$	−5.20844	−	16.6460i	−0.228846	−	0.731382i
$519$	9.54652			0.419046
$520$	0.788602	−	0.715488i	0.0345825	−	0.0313762i
$521$	15.4821	+	26.8158i	0.678283	+	1.17482i	0.975498	+	0.220010i	$0.0706091\pi$
$521$	15.4821	+	26.8158i	0.678283	+	1.17482i	−0.297214	+	0.954811i	$0.596058\pi$
$522$	−0.979171	−	19.8242i	−0.0428572	−	0.867683i
$523$	3.25004	+	12.1293i	0.142114	+	0.530377i	0.999867	+	0.0163147i	$0.00519336\pi$
$523$	3.25004	+	12.1293i	0.142114	+	0.530377i	−0.857753	+	0.514062i	$0.828140\pi$
$524$	17.5572	+	24.4736i	0.766988	+	1.06913i
$525$	9.74289	−	3.93933i	0.425215	−	0.171927i
$526$	−39.3602	+	12.6582i	−1.71619	+	0.551923i
$527$	−8.92874	−	33.3225i	−0.388942	−	1.45155i
$528$	9.48857	−	14.2333i	0.412937	−	0.619425i
$529$	−19.7365	+	11.3949i	−0.858107	+	0.495428i
$530$	−0.0147058	−	0.127848i	−0.000638781	−	0.00555336i
$531$	9.61622			0.417308
$532$	−0.561066	−	6.16229i	−0.0243253	−	0.267169i
$533$	0.897405	+	0.897405i	0.0388709	+	0.0388709i
$534$	−1.41936	+	6.58019i	−0.0614217	+	0.284753i
$535$	−2.00232	−	30.6809i	−0.0865678	−	1.32645i
$536$	0.613473	−	5.37028i	0.0264980	−	0.231961i
$537$	−18.8679	+	5.05564i	−0.814211	+	0.218167i
$538$	12.1077	−	23.5872i	0.522002	−	1.01692i
$539$	−19.3550	+	32.3321i	−0.833681	+	1.39264i
$540$	−3.11184	−	18.8188i	−0.133912	−	0.809831i
$541$	19.4656	+	11.2385i	0.836891	+	0.483179i	0.856206	−	0.516634i	$-0.172815\pi$
$541$	19.4656	+	11.2385i	0.836891	+	0.483179i	−0.0193150	+	0.999813i	$0.506149\pi$
$542$	0.474299	+	9.60262i	0.0203729	+	0.412468i
$543$	−1.55674	+	5.80984i	−0.0668062	+	0.249324i
$544$	22.4367	+	13.4077i	0.961967	+	0.574849i
$545$	20.2874	−	6.88031i	0.869016	−	0.294720i
$546$	−0.267963	−	0.422656i	−0.0114678	−	0.0180880i
$547$	1.14015	+	1.14015i	0.0487494	+	0.0487494i	0.731061	−	0.682312i	$-0.239025\pi$
$547$	1.14015	+	1.14015i	0.0487494	+	0.0487494i	−0.682312	+	0.731061i	$0.739025\pi$
$548$	−5.27793	−	4.32680i	−0.225462	−	0.184832i
$549$	−10.5093	−	18.2026i	−0.448525	−	0.776868i
$550$	29.0330	−	24.6180i	1.23797	−	1.04972i
$551$	5.99998	+	3.46409i	0.255608	+	0.147575i
$552$	−1.01913	+	0.152002i	−0.0433770	+	0.00646963i
$553$	4.90900	+	8.66007i	0.208752	+	0.368263i
$554$	−1.80880	−	5.62441i	−0.0768485	−	0.238958i
$555$	8.12102	+	1.61773i	0.344718	+	0.0686689i
$556$	17.9047	+	8.10106i	0.759327	+	0.343561i
$557$	−9.72290	−	2.60524i	−0.411972	−	0.110388i	0.0468793	−	0.998901i	$-0.485072\pi$
$557$	−9.72290	−	2.60524i	−0.411972	−	0.110388i	−0.458852	+	0.888513i	$0.651739\pi$
$558$	13.5599	+	21.0185i	0.574036	+	0.889785i
$559$	−0.882232			−0.0373144
$560$	0.168634	−	23.6637i	0.00712610	−	0.999975i
$561$	19.7598			0.834259
$562$	15.9722	+	24.7577i	0.673746	+	1.04434i
$563$	21.4129	+	5.73756i	0.902445	+	0.241809i	0.680066	−	0.733151i	$-0.261951\pi$
$563$	21.4129	+	5.73756i	0.902445	+	0.241809i	0.222379	+	0.974960i	$0.428618\pi$
$564$	−14.9984	−	6.78610i	−0.631546	−	0.285746i
$565$	19.8001	+	29.6508i	0.832995	+	1.24742i
$566$	9.98761	+	31.0562i	0.419810	+	1.30539i
$567$	9.83765	+	0.0777897i	0.413142	+	0.00326686i
$568$	3.83398	+	25.7057i	0.160870	+	1.07859i
$569$	3.05139	+	1.76172i	0.127921	+	0.0738551i	0.562595	−	0.826733i	$-0.309803\pi$
$569$	3.05139	+	1.76172i	0.127921	+	0.0738551i	−0.434674	+	0.900588i	$0.643136\pi$
$570$	2.69529	+	1.16850i	0.112893	+	0.0489429i
$571$	3.18719	+	5.52038i	0.133380	+	0.231021i	0.924977	−	0.380022i	$-0.124084\pi$
$571$	3.18719	+	5.52038i	0.133380	+	0.231021i	−0.791598	+	0.611043i	$0.790750\pi$
$572$	−1.40181	−	1.14919i	−0.0586126	−	0.0480501i
$573$	−10.8995	−	10.8995i	−0.455334	−	0.455334i
$574$	28.1808	−	1.16863i	1.17624	−	0.0487778i
$575$	−2.27310	−	0.300553i	−0.0947950	−	0.0125339i
$576$	−18.4630	−	4.27400i	−0.769290	−	0.178083i
$577$	−0.257620	+	0.961449i	−0.0107248	+	0.0400257i	−0.971081	−	0.238751i	$-0.923262\pi$
$577$	−0.257620	+	0.961449i	−0.0107248	+	0.0400257i	0.960356	+	0.278776i	$0.0899288\pi$
$578$	0.303426	+	6.14313i	0.0126208	+	0.255521i
$579$	4.62154	+	2.66825i	0.192065	+	0.110889i
$580$	21.5410	+	15.4279i	0.894439	+	0.640607i
$581$	−2.77585	−	10.6973i	−0.115162	−	0.443797i
$582$	−9.42626	+	18.3633i	−0.390731	+	0.761185i
$583$	−0.211609	+	0.0567006i	−0.00876397	+	0.00234830i
$584$	14.0982	+	1.61050i	0.583386	+	0.0666430i
$585$	−0.889919	+	0.0580784i	−0.0367936	+	0.00240125i
$586$	−1.93592	+	8.97498i	−0.0799721	+	0.370753i
$587$	−0.883416	−	0.883416i	−0.0364625	−	0.0364625i	0.688640	−	0.725103i	$-0.258208\pi$
$587$	−0.883416	−	0.883416i	−0.0364625	−	0.0364625i	−0.725103	+	0.688640i	$0.758208\pi$
$588$	−10.9443	−	1.97920i	−0.451336	−	0.0816206i
$589$	−8.73090			−0.359751
$590$	−7.98029	+	10.0548i	−0.328543	+	0.413949i
$591$	−17.0723	+	9.85671i	−0.702262	+	0.405451i
$592$	10.3427	−	15.5146i	0.425084	−	0.637647i
$593$	5.70244	+	21.2818i	0.234171	+	0.873939i	0.978521	+	0.206149i	$0.0660931\pi$
$593$	5.70244	+	21.2818i	0.234171	+	0.873939i	−0.744349	+	0.667790i	$0.767240\pi$
$594$	−30.9116	+	9.94110i	−1.26832	+	0.407888i
$595$	22.8521	−	15.0001i	0.936843	−	0.614945i
$596$	−19.2166	−	26.7867i	−0.787143	−	1.09723i
$597$	−0.895494	−	3.34203i	−0.0366501	−	0.136780i
$598$	0.00538644	+	0.109054i	0.000220268	+	0.00445953i
$599$	7.19773	+	12.4668i	0.294091	+	0.509381i	0.974773	−	0.223198i	$-0.0716497\pi$
$599$	7.19773	+	12.4668i	0.294091	+	0.509381i	−0.680682	+	0.732579i	$0.738316\pi$
$600$	9.82148	+	5.45511i	0.400960	+	0.222704i
$601$	−44.2355			−1.80440			−0.902202	−	0.431315i	$-0.858050\pi$
$601$	−44.2355			−1.80440			−0.902202	+	0.431315i	$0.858050\pi$
$602$	−13.2777	+	14.4266i	−0.541160	+	0.587984i
$603$	−3.20110	+	3.20110i	−0.130359	+	0.130359i
$604$	−3.89688	−	39.3517i	−0.158562	−	1.60120i
$605$	−30.2187	−	26.5160i	−1.22856	−	1.07803i
$606$	−7.87682	−	7.13533i	−0.319974	−	0.289853i
$607$	2.92431	+	10.9137i	0.118694	+	0.442972i	0.999537	−	0.0304368i	$-0.00968984\pi$
$607$	2.92431	+	10.9137i	0.118694	+	0.442972i	−0.880843	+	0.473409i	$0.843023\pi$
$608$	4.74732	−	4.60666i	0.192529	−	0.186825i
$609$	8.87469	−	8.73544i	0.359620	−	0.353978i
$610$	27.7542	+	4.11736i	1.12374	+	0.166707i
$611$	−0.872207	+	1.51071i	−0.0352857	+	0.0611167i
$612$	−7.72200	−	20.4839i	−0.312143	−	0.828013i
$613$	−4.26217	+	15.9066i	−0.172147	+	0.642463i	0.824873	+	0.565319i	$0.191247\pi$
$613$	−4.26217	+	15.9066i	−0.172147	+	0.642463i	−0.997020	+	0.0771442i	$0.975420\pi$
$614$	0.934094	−	4.33049i	0.0376970	−	0.174764i
$615$	−5.92581	+	12.0079i	−0.238952	+	0.484205i
$616$	−39.8895	+	5.62742i	−1.60719	+	0.226735i
$617$	−19.6631	−	19.6631i	−0.791607	−	0.791607i	0.190149	−	0.981755i	$-0.439103\pi$
$617$	−19.6631	−	19.6631i	−0.791607	−	0.791607i	−0.981755	+	0.190149i	$0.939103\pi$
$618$	1.56138	+	2.42022i	0.0628080	+	0.0973556i
$619$	15.3169	−	8.84319i	0.615637	−	0.355438i	−0.159532	−	0.987193i	$-0.550998\pi$
$619$	15.3169	−	8.84319i	0.615637	−	0.355438i	0.775168	+	0.631755i	$0.217665\pi$
$620$	−33.2302	−	3.26448i	−1.33456	−	0.131105i
$621$	1.69386	+	0.977950i	0.0679722	+	0.0392438i
$622$	2.81832	+	1.44670i	0.113004	+	0.0580073i
$623$	13.7910	−	7.81748i	0.552523	−	0.313201i
$624$	0.171431	−	0.506785i	0.00686274	−	0.0202876i
$625$	17.6579	+	17.6974i	0.706315	+	0.707897i
$626$	25.5908	−	28.2502i	1.02282	−	1.12910i
$627$	1.29433	−	4.83049i	0.0516904	−	0.192911i
$628$	−17.9392	+	21.8826i	−0.715852	+	0.873212i
$629$	21.5386			0.858800
$630$	−12.4437	+	15.4264i	−0.495768	+	0.614602i
$631$		−	14.3729i		−	0.572176i	−0.958203	−	0.286088i	$-0.907645\pi$
$631$		−	14.3729i		−	0.572176i	0.958203	−	0.286088i	$-0.0923550\pi$
$632$	−3.90322	+	9.90032i	−0.155262	+	0.393814i
$633$	10.1514	+	2.72005i	0.403481	+	0.108112i
$634$	8.12865	−	8.97336i	0.322830	−	0.356378i
$635$	−6.51067	−	9.74981i	−0.258368	−	0.386909i
$636$	−0.0376901	−	0.0525376i	−0.00149451	−	0.00208325i
$637$	−0.322989	+	1.13340i	−0.0127973	+	0.0449071i
$638$	20.5979	−	40.1268i	0.815478	−	1.58864i
$639$	10.8838	−	18.8512i	0.430555	−	0.745743i
$640$	19.7909	−	15.7581i	0.782306	−	0.622895i
$641$	6.18581	+	10.7141i	0.244325	+	0.423183i	0.961942	−	0.273255i	$-0.0881004\pi$
$641$	6.18581	+	10.7141i	0.244325	+	0.423183i	−0.717617	+	0.696438i	$0.754767\pi$
$642$	−8.37455	−	12.9810i	−0.330517	−	0.512318i
$643$	−34.9204	+	34.9204i	−1.37713	+	1.37713i	−0.527689	+	0.849437i	$0.676941\pi$
$643$	−34.9204	+	34.9204i	−1.37713	+	1.37713i	−0.849437	+	0.527689i	$0.823059\pi$
$644$	1.86435	+	1.55319i	0.0734658	+	0.0612043i
$645$	−2.98962	−	8.81524i	−0.117716	−	0.347100i
$646$	7.46940	+	1.61116i	0.293880	+	0.0633903i
$647$	6.21034	+	1.66405i	0.244154	+	0.0654207i	0.378820	−	0.925470i	$-0.376330\pi$
$647$	6.21034	+	1.66405i	0.244154	+	0.0654207i	−0.134667	+	0.990891i	$0.542996\pi$
$648$	6.54469	+	8.23279i	0.257100	+	0.323415i
$649$	18.9248	+	10.9262i	0.742864	+	0.428893i
$650$	0.677797	−	0.978704i	0.0265854	−	0.0383879i
$651$	−4.18133	+	15.1255i	−0.163879	+	0.592816i
$652$	38.0989	+	6.26940i	1.49207	+	0.245529i
$653$	−1.25720	+	0.336866i	−0.0491980	+	0.0131826i	−0.283334	−	0.959021i	$-0.591441\pi$
$653$	−1.25720	+	0.336866i	−0.0491980	+	0.0131826i	0.234136	+	0.972204i	$0.424774\pi$
$654$	7.22608	−	7.97700i	0.282562	−	0.311925i
$655$	25.3121	+	22.2106i	0.989024	+	0.867841i
$656$	19.9049	+	22.6487i	0.777156	+	0.884283i
$657$	−8.40359	−	8.40359i	−0.327855	−	0.327855i
$658$	11.5768	+	36.9990i	0.451311	+	1.44237i
$659$			8.15043i			0.317496i	0.987319	+	0.158748i	$0.0507457\pi$
$659$			8.15043i			0.317496i	−0.987319	+	0.158748i	$0.949254\pi$
$660$	6.73238	−	17.9011i	0.262058	−	0.696800i
$661$	−2.21171	+	1.27693i	−0.0860257	+	0.0496670i	−0.542396	−	0.840123i	$-0.682483\pi$
$661$	−2.21171	+	1.27693i	−0.0860257	+	0.0496670i	0.456370	+	0.889790i	$0.349149\pi$
$662$	−37.6658	+	1.86041i	−1.46392	+	0.0723070i
$663$	0.596931	−	0.159947i	0.0231829	−	0.00621183i
$664$	7.03040	−	9.49517i	0.272832	−	0.368484i
$665$	−2.17006	−	6.56898i	−0.0841513	−	0.254734i
$666$	−14.8668	+	4.78114i	−0.576077	+	0.185265i
$667$	−2.62434	+	0.703189i	−0.101615	+	0.0272276i
$668$	1.95014	+	5.17309i	0.0754534	+	0.200153i
$669$	−1.63933	−	2.83940i	−0.0633801	−	0.109778i
$670$	−0.690572	−	6.00362i	−0.0266791	−	0.231940i
$671$		−	47.7639i		−	1.84390i
$672$	−5.70708	−	10.4305i	−0.220155	−	0.402365i
$673$	29.0315	−	29.0315i	1.11908	−	1.11908i	0.127208	−	0.991876i	$-0.459399\pi$
$673$	29.0315	−	29.0315i	1.11908	−	1.11908i	0.991876	−	0.127208i	$-0.0406015\pi$
$674$	−1.70011	+	7.88177i	−0.0654859	+	0.303595i
$675$	−8.14999	−	19.7070i	−0.313693	−	0.758522i
$676$	23.6365	+	10.6945i	0.909096	+	0.411325i
$677$	1.07592	+	4.01539i	0.0413509	+	0.154324i	0.983514	−	0.180830i	$-0.0578784\pi$
$677$	1.07592	+	4.01539i	0.0413509	+	0.154324i	−0.942163	+	0.335154i	$0.891212\pi$
$678$	15.9368	+	8.18067i	0.612049	+	0.314177i
$679$	47.0515	−	12.2095i	1.80567	−	0.468558i
$680$	27.8264	+	8.92496i	1.06710	+	0.342256i
$681$	−0.211888	+	0.367001i	−0.00811956	+	0.0140635i
$682$	2.80411	+	56.7719i	0.107375	+	2.17391i
$683$	30.8157	+	8.25704i	1.17913	+	0.315947i	0.794581	−	0.607158i	$-0.207690\pi$
$683$	30.8157	+	8.25704i	1.17913	+	0.315947i	0.384549	+	0.923105i	$0.374357\pi$
$684$	−5.51332	+	0.545967i	−0.210807	+	0.0208756i
$685$	−6.84251	−	3.37673i	−0.261439	−	0.129018i
$686$	13.6728	+	22.3395i	0.522030	+	0.852927i
$687$	−10.0362	+	10.0362i	−0.382903	+	0.382903i
$688$	−20.9171	−	1.34870i	−0.797456	−	0.0514186i
$689$	−0.00593362	+	0.00342578i	−0.000226053	+	0.000130512i
$690$	−1.07141	+	0.423371i	−0.0407878	+	0.0161175i
$691$	14.7735	−	25.5885i	0.562011	−	0.973431i	−0.435310	−	0.900281i	$-0.643361\pi$
$691$	14.7735	−	25.5885i	0.562011	−	0.973431i	0.997321	−	0.0731507i	$-0.0233054\pi$
$692$	3.90246	−	23.7151i	0.148349	−	0.901512i
$693$	29.0850	+	17.1003i	1.10485	+	0.649587i
$694$	5.45034	−	1.75282i	0.206892	−	0.0665362i
$695$	21.5483	+	4.29249i	0.817374	+	0.162823i
$696$	13.2264	+	1.51091i	0.501345	+	0.0572711i
$697$	−9.01465	+	33.6431i	−0.341454	+	1.27432i
$698$	−16.3273	−	25.3082i	−0.617998	−	0.957928i
$699$		−	2.56326i		−	0.0969513i
$700$	−5.80320	−	25.8132i	−0.219340	−	0.975648i
$701$			2.34311i			0.0884982i	0.999021	+	0.0442491i	$0.0140895\pi$
$701$			2.34311i			0.0884982i	−0.999021	+	0.0442491i	$0.985910\pi$
$702$	−0.853350	+	0.550530i	−0.0322076	+	0.0207784i
$703$	1.41084	−	5.26534i	0.0532110	−	0.198586i
$704$	−31.4791	−	29.3895i	−1.18641	−	1.10766i
$705$	−18.0506	−	3.59574i	−0.679825	−	0.135423i
$706$	−4.87428	−	15.1564i	−0.183446	−	0.570420i
$707$	−0.197906	+	25.0281i	−0.00744303	+	0.941280i
$708$	−1.04724	+	6.36406i	−0.0393578	+	0.239176i
$709$	18.3199	−	31.7310i	0.688018	−	1.19168i	−0.284461	−	0.958688i	$-0.591815\pi$
$709$	18.3199	−	31.7310i	0.688018	−	1.19168i	0.972478	−	0.232994i	$-0.0748521\pi$
$710$	10.6788	+	27.0244i	0.400768	+	1.01421i
$711$	7.71889	−	4.45650i	0.289481	−	0.167132i
$712$	15.7660	+	6.21579i	0.590857	+	0.232947i
$713$	2.42104	−	2.42104i	0.0906685	−	0.0906685i
$714$	6.36838	−	12.1685i	0.238331	−	0.455393i
$715$	−1.81736	−	0.896854i	−0.0679654	−	0.0335404i
$716$	4.84614	+	48.9376i	0.181109	+	1.82888i
$717$	0.961488	+	0.257630i	0.0359074	+	0.00962137i
$718$	15.9607	−	0.788343i	0.595650	−	0.0294207i
$719$	19.4884	−	33.7548i	0.726793	−	1.25884i	−0.231439	−	0.972849i	$-0.574343\pi$
$719$	19.4884	−	33.7548i	0.726793	−	1.25884i	0.958232	−	0.285993i	$-0.0923234\pi$
$720$	−21.1881	+	0.0165484i	−0.789634	+	0.000616721i
$721$	1.80725	−	6.53752i	0.0673053	−	0.243470i
$722$	−11.3876	+	22.1842i	−0.423801	+	0.825609i
$723$	−4.20503	−	15.6934i	−0.156387	−	0.583643i
$724$	13.7962	+	6.24216i	0.512732	+	0.231988i
$725$	27.3620	+	11.3516i	1.01620	+	0.421590i
$726$	−19.7451	−	4.25906i	−0.732810	−	0.158068i
$727$	−16.8615	+	16.8615i	−0.625360	+	0.625360i	−0.946897	−	0.321537i	$-0.895801\pi$
$727$	−16.8615	+	16.8615i	−0.625360	+	0.625360i	0.321537	+	0.946897i	$0.395801\pi$
$728$	−1.15948	+	0.492889i	−0.0429733	+	0.0182677i
$729$			1.35640i			0.0502370i
$730$	15.7608	−	1.81290i	0.583334	−	0.0670986i
$731$	−12.1060	−	20.9683i	−0.447758	−	0.775539i
$732$	13.1911	−	4.97276i	0.487556	−	0.183798i
$733$	7.95212	−	2.13076i	0.293718	−	0.0787016i	−0.108951	−	0.994047i	$-0.534749\pi$
$733$	7.95212	−	2.13076i	0.293718	−	0.0787016i	0.402669	+	0.915346i	$0.368082\pi$
$734$	5.03252	+	15.6485i	0.185754	+	0.577596i
$735$	−12.4195	+	0.613471i	−0.458098	+	0.0226282i
$736$	−0.0390051	+	2.59381i	−0.00143775	+	0.0956092i
$737$	−9.93698	+	2.66261i	−0.366033	+	0.0980784i
$738$	−1.24583	−	25.2229i	−0.0458595	−	0.928468i
$739$	−18.6332	+	10.7579i	−0.685434	+	0.395735i	−0.801899	−	0.597459i	$-0.796177\pi$
$739$	−18.6332	+	10.7579i	−0.685434	+	0.395735i	0.116466	+	0.993195i	$0.462844\pi$
$740$	7.33844	−	19.5126i	0.269767	−	0.717298i
$741$		−	0.156403i		−	0.00574561i
$742$	−0.0332822	+	0.148587i	−0.00122183	+	0.00545481i
$743$	24.7623	+	24.7623i	0.908440	+	0.908440i	0.996146	−	0.0877064i	$-0.0279537\pi$
$743$	24.7623	+	24.7623i	0.908440	+	0.908440i	−0.0877064	+	0.996146i	$0.527954\pi$
$744$	−15.3869	+	6.68501i	−0.564111	+	0.245084i
$745$	−27.7045	−	24.3099i	−1.01501	−	0.890646i
$746$	−22.5081	−	20.3893i	−0.824081	−	0.746505i
$747$	−9.55795	+	2.56105i	−0.349707	+	0.0937038i
$748$	8.07747	−	49.0865i	0.295342	−	1.79478i
$749$	−9.69325	+	35.0643i	−0.354183	+	1.28122i
$750$	12.0760	+	3.45599i	0.440955	+	0.126195i
$751$	−17.8739	−	10.3195i	−0.652229	−	0.376564i	0.137081	−	0.990560i	$-0.456228\pi$
$751$	−17.8739	−	10.3195i	−0.652229	−	0.376564i	−0.789310	+	0.613995i	$0.789561\pi$
$752$	−22.9888	+	34.4844i	−0.838317	+	1.25752i
$753$	1.51536	+	0.406039i	0.0552227	+	0.0147969i
$754$	0.297439	−	1.37894i	0.0108321	−	0.0502179i
$755$	−14.1997	−	41.8694i	−0.516779	−	1.52378i
$756$	−3.84056	+	22.2399i	−0.139680	+	0.808856i
$757$	−17.9406	+	17.9406i	−0.652062	+	0.652062i	−0.953489	−	0.301428i	$-0.902537\pi$
$757$	−17.9406	+	17.9406i	−0.652062	+	0.652062i	0.301428	+	0.953489i	$0.402537\pi$
$758$	2.82260	−	1.82097i	0.102521	−	0.0661406i
$759$	0.980561	+	1.69838i	0.0355921	+	0.0616474i
$760$	4.00452	−	6.21786i	0.145259	−	0.225546i
$761$	23.0670	−	39.9532i	0.836178	−	1.44830i	−0.0568901	−	0.998380i	$-0.518118\pi$
$761$	23.0670	−	39.9532i	0.836178	−	1.44830i	0.893068	−	0.449922i	$-0.148548\pi$
$762$	−5.24035	−	2.68997i	−0.189838	−	0.0974474i
$763$	−25.3465	−	0.200423i	−0.917604	−	0.00725581i
$764$	−31.5317	+	22.6206i	−1.14078	+	0.818385i
$765$	−13.5919	−	20.3540i	−0.491415	−	0.735900i
$766$	−16.8102	−	15.2277i	−0.607377	−	0.550201i
$767$	0.660150	+	0.176887i	0.0238366	+	0.00638700i
$768$	4.83924	−	11.7534i	0.174621	−	0.424115i
$769$			6.10134i			0.220020i	0.993930	+	0.110010i	$0.0350883\pi$
$769$			6.10134i			0.220020i	−0.993930	+	0.110010i	$0.964912\pi$
$770$	−42.0172	+	16.2204i	−1.51420	+	0.584541i
$771$	−22.9392			−0.826134
$772$	8.51757	−	10.3899i	0.306554	−	0.373941i
$773$	−6.14415	+	22.9303i	−0.220990	+	0.824745i	0.762982	+	0.646420i	$0.223735\pi$
$773$	−6.14415	+	22.9303i	−0.220990	+	0.824745i	−0.983972	+	0.178325i	$0.942932\pi$
$774$	13.0106	+	11.7858i	0.467657	+	0.423633i
$775$	−37.0147	+	4.85202i	−1.32961	+	0.174290i
$776$	41.7642	+	30.9230i	1.49925	+	1.11007i
$777$	−8.44607	−	4.96580i	−0.303001	−	0.178147i
$778$	−13.8100	+	26.9033i	−0.495113	+	0.964531i
$779$	7.63393	+	4.40745i	0.273514	+	0.157913i
$780$	0.0584790	−	0.595277i	0.00209388	−	0.0213143i
$781$	42.8387	−	24.7329i	1.53289	−	0.885014i
$782$	−2.51799	+	1.62446i	−0.0900433	+	0.0580905i
$783$	−17.8683	−	17.8683i	−0.638560	−	0.638560i
$784$	−9.39049	+	26.3784i	−0.335375	+	0.942085i
$785$	−14.0001	+	28.3695i	−0.499686	+	1.01255i
$786$	16.5391	+	3.56752i	0.589931	+	0.127249i
$787$	9.14789	−	34.1404i	0.326087	−	1.21697i	−0.587127	−	0.809495i	$-0.699741\pi$
$787$	9.14789	−	34.1404i	0.326087	−	1.21697i	0.913215	−	0.407479i	$-0.133592\pi$
$788$	17.5068	+	46.4396i	0.623653	+	1.65434i
$789$	−11.6127	+	20.1138i	−0.413423	+	0.716069i
$790$	−1.74598	+	11.7693i	−0.0621192	+	0.418732i
$791$	−10.5961	−	40.8341i	−0.376755	−	1.45189i
$792$	5.32082	+	35.6745i	0.189067	+	1.26764i
$793$	−0.386628	−	1.44292i	−0.0137296	−	0.0512394i
$794$	−5.73577	+	6.33182i	−0.203555	+	0.224708i
$795$	−0.0543376	−	0.0476796i	−0.00192715	−	0.00169102i
$796$	−8.66820	+	0.858385i	−0.307236	+	0.0304246i
$797$	−6.19387	+	6.19387i	−0.219398	+	0.219398i	−0.808245	−	0.588847i	$-0.799582\pi$
$797$	−6.19387	+	6.19387i	−0.219398	+	0.219398i	0.588847	+	0.808245i	$0.299582\pi$
$798$	−2.55756	−	2.35389i	−0.0905368	−	0.0833268i
$799$	−47.8739			−1.69366
$800$	17.5662	−	22.1682i	0.621060	−	0.783763i
$801$	−7.09688	−	12.2922i	−0.250756	−	0.434322i
$802$	−37.9947	+	1.87666i	−1.34164	+	0.0662672i
$803$	−6.98993	−	26.0868i	−0.246669	−	0.920582i
$804$	−1.76989	−	2.46711i	−0.0624192	−	0.0870084i
$805$	2.42329	+	1.21980i	0.0854099	+	0.0429923i
$806$	0.544254	+	1.69234i	0.0191705	+	0.0596102i
$807$	−3.85472	−	14.3860i	−0.135693	−	0.506411i
$808$	−20.9452	+	16.6505i	−0.736850	+	0.585762i
$809$	7.48705	−	4.32265i	0.263231	−	0.151976i	−0.362577	−	0.931954i	$-0.618103\pi$
$809$	7.48705	−	4.32265i	0.263231	−	0.151976i	0.625807	+	0.779978i	$0.284770\pi$
$810$	9.21026	+	7.31000i	0.323615	+	0.256847i
$811$	−24.3051			−0.853467			−0.426733	−	0.904378i	$-0.640336\pi$
$811$	−24.3051			−0.853467			−0.426733	+	0.904378i	$0.640336\pi$
$812$	−18.0724	−	25.6170i	−0.634217	−	0.898982i
$813$	3.81889	+	3.81889i	0.133934	+	0.133934i
$814$	−34.6905	−	7.48280i	−1.21590	−	0.262272i
$815$	43.0771	−	2.81132i	1.50892	−	0.0984764i
$816$	14.3973	−	2.87968i	0.504006	−	0.100809i
$817$	−5.91890	+	1.58596i	−0.207076	+	0.0554859i
$818$	1.14715	+	0.588856i	0.0401092	+	0.0205889i
$819$	1.01706	+	0.281158i	0.0355389	+	0.00982446i
$820$	27.4071	+	19.6293i	0.957099	+	0.685484i
$821$	−38.3022	−	22.1138i	−1.33676	−	0.771776i	−0.350431	−	0.936589i	$-0.613965\pi$
$821$	−38.3022	−	22.1138i	−1.33676	−	0.771776i	−0.986325	+	0.164812i	$0.947298\pi$
$822$	−3.82907	+	0.189128i	−0.133554	+	0.00659660i
$823$	−7.09456	+	26.4773i	−0.247301	+	0.922939i	0.724912	+	0.688841i	$0.241880\pi$
$823$	−7.09456	+	26.4773i	−0.247301	+	0.922939i	−0.972213	+	0.234098i	$0.924786\pi$
$824$	6.65048	−	2.88938i	0.231681	−	0.100656i
$825$	2.80286	−	21.1982i	0.0975829	−	0.738026i
$826$	12.8279	−	8.13285i	0.446339	−	0.282978i
$827$	8.92319	+	8.92319i	0.310290	+	0.310290i	0.845022	−	0.534732i	$-0.179587\pi$
$827$	8.92319	+	8.92319i	0.310290	+	0.310290i	−0.534732	+	0.845022i	$0.679587\pi$
$828$	1.37742	−	1.68021i	0.0478688	−	0.0583914i
$829$	−23.0974	−	40.0059i	−0.802205	−	1.38946i	−0.918162	−	0.396206i	$-0.870327\pi$
$829$	−23.0974	−	40.0059i	−0.802205	−	1.38946i	0.115956	−	0.993254i	$-0.463007\pi$
$830$	5.25409	−	12.1192i	0.182372	−	0.420664i
$831$	−2.87417	−	1.65940i	−0.0997039	−	0.0575641i
$832$	−1.18886	−	0.633028i	−0.0412162	−	0.0219463i
$833$	−31.3700	+	7.87605i	−1.08691	+	0.272889i
$834$	10.5092	−	3.37975i	0.363905	−	0.117031i
$835$	3.43255	+	5.14028i	0.118788	+	0.177887i
$836$	−11.4706	−	5.18994i	−0.396720	−	0.179498i
$837$	30.7597	+	8.24202i	1.06321	+	0.284886i
$838$	−12.0007	+	7.74217i	−0.414559	+	0.267449i
$839$	−35.2683			−1.21760			−0.608798	−	0.793325i	$-0.708348\pi$
$839$	−35.2683			−1.21760			−0.608798	+	0.793325i	$0.708348\pi$
$840$	−8.85408	−	9.91528i	−0.305495	−	0.342110i
$841$	6.10158			0.210399
$842$	−11.9936	+	7.73758i	−0.413328	+	0.266654i
$843$	15.9864	+	4.28354i	0.550601	+	0.147533i
$844$	10.9067	−	24.1057i	0.375426	−	0.829753i
$845$	28.4466	+	5.66665i	0.978592	+	0.194939i
$846$	33.0445	−	10.6270i	1.13609	−	0.365365i
$847$	23.4578	+	41.3824i	0.806021	+	1.42192i
$848$	−0.145919	+	0.0721517i	−0.00501087	+	0.00247770i
$849$	15.8702	+	9.16269i	0.544665	+	0.314463i
$850$	32.5619	+	2.67957i	1.11686	+	0.0919083i
$851$	1.06883	+	1.85127i	0.0366391	+	0.0634608i
$852$	11.2905	+	9.25589i	0.386808	+	0.317102i
$853$	−32.3007	−	32.3007i	−1.10595	−	1.10595i	−0.993677	−	0.112276i	$-0.964186\pi$
$853$	−32.3007	−	32.3007i	−1.10595	−	1.10595i	−0.112276	−	0.993677i	$-0.535814\pi$
$854$	−29.4139	−	15.3938i	−1.00652	−	0.526765i
$855$	−5.86606	+	1.98943i	−0.200615	+	0.0680371i
$856$	−35.6702	+	15.4973i	−1.21918	+	0.529687i
$857$	6.35176	−	23.7051i	0.216972	−	0.809750i	−0.768491	−	0.639860i	$-0.778992\pi$
$857$	6.35176	−	23.7051i	0.216972	−	0.809750i	0.985463	−	0.169890i	$-0.0543411\pi$
$858$	−1.01700	+	0.0502321i	−0.0347197	+	0.00171490i
$859$	9.59804	+	5.54143i	0.327481	+	0.189071i	0.654722	−	0.755870i	$-0.272786\pi$
$859$	9.59804	+	5.54143i	0.327481	+	0.189071i	−0.327241	+	0.944941i	$0.606119\pi$
$860$	−23.1206	+	3.82318i	−0.788405	+	0.130369i
$861$	11.2915	−	11.1143i	0.384813	−	0.378776i
$862$	−8.55274	−	4.39029i	−0.291307	−	0.149534i
$863$	−19.3681	+	5.18965i	−0.659296	+	0.176658i	−0.572928	−	0.819605i	$-0.694193\pi$
$863$	−19.3681	+	5.18965i	−0.659296	+	0.176658i	−0.0863678	+	0.996263i	$0.527526\pi$
$864$	−21.0739	+	11.7481i	−0.716949	+	0.399679i
$865$	−1.74994	−	26.8138i	−0.0594997	−	0.911697i
$866$	−12.0451	−	2.59816i	−0.409311	−	0.0882891i
$867$	2.44308	+	2.44308i	0.0829714	+	0.0829714i
$868$	35.8649	+	16.5702i	1.21734	+	0.562428i
$869$	20.2545			0.687085
$870$	14.7862	−	1.70080i	0.501300	−	0.0576626i
$871$	−0.278637	+	0.160871i	−0.00944126	+	0.00545091i
$872$	−16.8622	−	21.2116i	−0.571028	−	0.718315i
$873$	−11.2647	−	42.0403i	−0.381251	−	1.42285i
$874$	0.232180	+	0.721958i	0.00785361	+	0.0244206i
$875$	−12.8505	−	26.6433i	−0.434428	−	0.900707i
$876$	6.47672	−	4.64635i	0.218828	−	0.156986i
$877$	−8.22953	−	30.7130i	−0.277891	−	1.03710i	−0.953879	−	0.300192i	$-0.902949\pi$
$877$	−8.22953	−	30.7130i	−0.277891	−	1.03710i	0.675988	−	0.736913i	$-0.263717\pi$
$878$	−31.9500	+	1.57810i	−1.07826	+	0.0532582i
$879$	2.57877	+	4.46656i	0.0869797	+	0.150653i
$880$	−41.7172	−	24.0420i	−1.40629	−	0.810456i
$881$	4.70307			0.158451			0.0792253	−	0.996857i	$-0.474755\pi$
$881$	4.70307			0.158451			0.0792253	+	0.996857i	$0.474755\pi$
$882$	19.9045	−	12.3999i	0.670219	−	0.417525i
$883$	6.28588	−	6.28588i	0.211537	−	0.211537i	−0.593383	−	0.804920i	$-0.702208\pi$
$883$	6.28588	−	6.28588i	0.211537	−	0.211537i	0.804920	+	0.593383i	$0.202208\pi$
$884$	−0.153319	−	1.54825i	−0.00515667	−	0.0520734i
$885$	0.469605	+	7.19562i	0.0157856	+	0.241878i
$886$	0.439694	−	0.485386i	0.0147718	−	0.0163069i
$887$	10.5081	+	39.2169i	0.352829	+	1.31678i	0.883195	+	0.469007i	$0.155388\pi$
$887$	10.5081	+	39.2169i	0.352829	+	1.31678i	−0.530365	+	0.847769i	$0.677945\pi$
$888$	−1.54513	−	10.3596i	−0.0518510	−	0.347646i
$889$	3.48422	+	13.4271i	0.116857	+	0.450330i
$890$	18.7423	+	2.78044i	0.628244	+	0.0932005i
$891$	10.0085	−	17.3352i	0.335298	−	0.580753i
$892$	−7.72366	+	2.91166i	−0.258607	+	0.0974895i
$893$	−3.13589	+	11.7033i	−0.104938	+	0.391635i
$894$	−18.1023	−	3.90471i	−0.605433	−	0.130593i
$895$	17.6587	+	52.0686i	0.590264	+	1.74046i
$896$	−28.2440	+	9.91349i	−0.943565	+	0.331186i
$897$	0.0433698	+	0.0433698i	0.00144808	+	0.00144808i
$898$	−13.8098	+	8.90924i	−0.460838	+	0.297305i
$899$	−38.3087	+	22.1175i	−1.27767	+	0.737661i
$900$	−23.0703	+	5.37854i	−0.769011	+	0.179285i
$901$	−0.162843	−	0.0940174i	−0.00542508	−	0.00313217i
$902$	26.2072	−	51.0545i	0.872606	−	1.69993i
$903$	−0.0870876	+	11.0135i	−0.00289809	+	0.366507i
$904$	26.8368	−	36.2454i	0.892578	−	1.20551i
$905$	16.6038	+	3.30752i	0.551928	+	0.109946i
$906$	−16.4630	−	14.9133i	−0.546948	−	0.495460i
$907$	1.95841	−	7.30887i	0.0650278	−	0.242687i	−0.925760	−	0.378112i	$-0.876573\pi$
$907$	1.95841	−	7.30887i	0.0650278	−	0.242687i	0.990788	+	0.135425i	$0.0432400\pi$
$908$	0.825072	+	0.676387i	0.0273810	+	0.0224467i
$909$	22.4099			0.743290
$910$	−1.13802	+	0.830118i	−0.0377249	+	0.0275182i
$911$			55.7433i			1.84686i	0.383769	+	0.923429i	$0.374626\pi$
$911$			55.7433i			1.84686i	−0.383769	+	0.923429i	$0.625374\pi$
$912$	0.239099	−	3.70820i	0.00791734	−	0.122791i
$913$	−21.7201	−	5.81988i	−0.718830	−	0.192610i
$914$	−0.849333	−	0.769380i	−0.0280934	−	0.0254488i
$915$	13.1074	−	8.75279i	0.433318	−	0.289358i
$916$	20.8288	+	29.0340i	0.688203	+	0.959311i
$917$	−19.6490	−	34.6632i	−0.648867	−	1.14468i
$918$	−24.7943	−	12.7274i	−0.818335	−	0.420067i
$919$	−8.04239	+	13.9298i	−0.265294	+	0.459503i	−0.967641	−	0.252332i	$-0.918802\pi$
$919$	−8.04239	+	13.9298i	−0.265294	+	0.459503i	0.702347	+	0.711835i	$0.252136\pi$
$920$	0.613749	+	2.83461i	0.0202347	+	0.0934545i
$921$	−1.24427	−	2.15514i	−0.0410002	−	0.0710144i
$922$	23.1300	−	14.9221i	0.761746	−	0.491433i
$923$	1.09393	−	1.09393i	0.0360070	−	0.0360070i
$924$	−14.4845	+	17.3863i	−0.476506	+	0.571968i
$925$	3.05517	−	23.1065i	0.100453	−	0.759736i
$926$	−4.91466	+	22.7845i	−0.161506	+	0.748746i
$927$	−5.86605	−	1.57180i	−0.192666	−	0.0516248i
$928$	9.16008	−	32.2388i	0.300694	−	1.05829i
$929$	−34.4420	−	19.8851i	−1.13000	−	0.652408i	−0.186068	−	0.982537i	$-0.559575\pi$
$929$	−34.4420	−	19.8851i	−1.13000	−	0.652408i	−0.943936	+	0.330129i	$0.892908\pi$
$930$	−15.0655	+	11.1730i	−0.494018	+	0.366378i
$931$	−0.129446	+	8.18463i	−0.00424241	+	0.268241i
$932$	−6.36754	−	1.04782i	−0.208576	−	0.0343224i
$933$	1.71892	−	0.460582i	0.0562748	−	0.0150788i
$934$	15.7141	+	14.2349i	0.514183	+	0.465780i
$935$	−3.62210	−	55.5004i	−0.118455	−	1.81506i
$936$	0.449508	+	1.03463i	0.0146926	+	0.0338181i
$937$	12.9049	+	12.9049i	0.421583	+	0.421583i	0.885749	−	0.464165i	$-0.153646\pi$
$937$	12.9049	+	12.9049i	0.421583	+	0.421583i	−0.464165	+	0.885749i	$0.653646\pi$
$938$	−1.56290	+	6.97752i	−0.0510306	+	0.227824i
$939$		−	21.4122i		−	0.698761i
$940$	−16.3112	+	43.3707i	−0.532012	+	1.41460i
$941$	20.6121	−	11.9004i	0.671935	−	0.387942i	−0.124874	−	0.992173i	$-0.539853\pi$
$941$	20.6121	−	11.9004i	0.671935	−	0.387942i	0.796810	+	0.604231i	$0.206519\pi$
$942$	0.784138	+	15.8756i	0.0255486	+	0.517255i
$943$	−3.33902	+	0.894687i	−0.108733	+	0.0291350i
$944$	15.3812	+	5.20304i	0.500617	+	0.169345i
$945$	1.44413	+	25.1916i	0.0469774	+	0.819483i
$946$	12.2136	+	37.9777i	0.397097	+	1.23476i
$947$	36.4724	−	9.77275i	1.18519	−	0.317572i	0.388209	−	0.921571i	$-0.373094\pi$
$947$	36.4724	−	9.77275i	1.18519	−	0.317572i	0.796985	+	0.603999i	$0.206427\pi$
$948$	2.10872	+	5.59372i	0.0684879	+	0.181676i
$949$	−0.422322	−	0.731484i	−0.0137092	−	0.0237450i
$950$	2.78795	−	7.78459i	0.0904531	−	0.252565i
$951$		−	6.80134i		−	0.220549i
$952$	−27.6251	−	20.7943i	−0.895336	−	0.673948i
$953$	−16.9786	+	16.9786i	−0.549992	+	0.549992i	−0.926438	−	0.376446i	$-0.877146\pi$
$953$	−16.9786	+	16.9786i	−0.549992	+	0.549992i	0.376446	+	0.926438i	$0.377146\pi$
$954$	0.133271	+	0.0287467i	0.00431480	+	0.000930709i
$955$	−28.6161	+	32.6120i	−0.925995	+	1.05530i
$956$	1.03303	−	2.28318i	0.0334107	−	0.0738432i
$957$	−6.55770	−	24.4737i	−0.211980	−	0.791122i
$958$	−1.27036	+	2.47480i	−0.0410436	+	0.0799573i
$959$	6.33333	+	6.43429i	0.204514	+	0.207774i
$960$	2.29651	−	14.0242i	0.0741196	−	0.452628i
$961$	12.3726	−	21.4299i	0.399116	−	0.691288i
$962$	−1.10855	+	0.0547541i	−0.0357410	+	0.00176534i
$963$	31.4628	+	8.43043i	1.01387	+	0.271667i
$964$	−40.7038	+	4.03077i	−1.31098	+	0.129822i
$965$	6.64729	−	13.4699i	0.213984	−	0.433611i
$966$	1.36192	−	0.0564777i	0.0438191	−	0.00181714i
$967$	−4.89297	+	4.89297i	−0.157347	+	0.157347i	−0.781390	−	0.624043i	$-0.785489\pi$
$967$	−4.89297	+	4.89297i	−0.157347	+	0.157347i	0.624043	+	0.781390i	$0.285489\pi$
$968$	−18.6517	+	47.3090i	−0.599487	+	1.52057i
$969$	3.71728	−	2.14617i	0.119416	−	0.0689450i
$970$	53.3060	+	23.1099i	1.71155	+	0.742015i
$971$	−17.0181	+	29.4762i	−0.546136	+	0.945935i	0.452399	+	0.891816i	$0.350568\pi$
$971$	−17.0181	+	29.4762i	−0.546136	+	0.945935i	−0.998534	+	0.0541191i	$0.982765\pi$
$972$	31.0808	+	5.11453i	0.996917	+	0.164049i
$973$	−22.4108	−	13.1762i	−0.718457	−	0.422411i
$974$	6.42926	+	19.9916i	0.206007	+	0.640572i
$975$	−0.0869178	−	0.663071i	−0.00278360	−	0.0212353i
$976$	−6.96083	−	34.8015i	−0.222811	−	1.11397i
$977$	0.935797	−	3.49244i	0.0299388	−	0.111733i	−0.949339	−	0.314252i	$-0.898246\pi$
$977$	0.935797	−	3.49244i	0.0299388	−	0.111733i	0.979278	+	0.202519i	$0.0649129\pi$
$978$	18.2257	−	11.7581i	0.582794	−	0.375984i
$979$		−	32.2548i		−	1.03087i
$980$	−3.55290	+	31.1027i	−0.113493	+	0.993539i
$981$			22.6949i			0.724594i
$982$	−15.9997	−	24.8004i	−0.510572	−	0.791412i
$983$	3.67308	−	13.7081i	0.117153	−	0.437221i	−0.882286	−	0.470714i	$-0.843996\pi$
$983$	3.67308	−	13.7081i	0.117153	−	0.437221i	0.999439	+	0.0334930i	$0.0106632\pi$
$984$	16.8283	+	1.92238i	0.536467	+	0.0612832i
$985$	30.8145	+	46.1451i	0.981833	+	1.47031i
$986$	36.8551	−	11.8525i	1.17370	−	0.377461i
$987$	18.7731	+	11.0375i	0.597554	+	0.351327i
$988$	−0.388530	−	0.0639350i	−0.0123608	−	0.00203404i
$989$	1.20150	−	2.08106i	0.0382055	−	0.0661739i
$990$	14.8201	+	37.5046i	0.471013	+	1.19197i
$991$	0.814821	−	0.470437i	0.0258836	−	0.0149439i	−0.487002	−	0.873401i	$-0.661910\pi$
$991$	0.814821	−	0.470437i	0.0258836	−	0.0149439i	0.512886	+	0.858457i	$0.328576\pi$
$992$	10.3167	+	40.9562i	0.327556	+	1.30036i
$993$	−14.9794	+	14.9794i	−0.475357	+	0.475357i
$994$	−1.42455	−	34.3521i	−0.0451840	−	1.08958i
$995$	−9.22278	+	3.12784i	−0.292382	+	0.0991591i
$996$	−0.654014	−	6.60440i	−0.0207232	−	0.209269i
$997$	46.5797	+	12.4810i	1.47519	+	0.395277i	0.904708	−	0.426032i	$-0.140089\pi$
$997$	46.5797	+	12.4810i	1.47519	+	0.395277i	0.570484	+	0.821308i	$0.306755\pi$
$998$	−0.346848	−	7.02225i	−0.0109793	−	0.222285i
$999$	−9.94103	+	17.2184i	−0.314520	+	0.544765i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.br.a.107.15	yes	176
5.3	odd	4	inner	280.2.br.a.163.8	yes	176
7.4	even	3	inner	280.2.br.a.67.44	yes	176
8.3	odd	2	inner	280.2.br.a.107.22	yes	176
35.18	odd	12	inner	280.2.br.a.123.22	yes	176
40.3	even	4	inner	280.2.br.a.163.44	yes	176
56.11	odd	6	inner	280.2.br.a.67.8	✓	176
280.123	even	12	inner	280.2.br.a.123.15	yes	176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.br.a.67.8	✓	176	56.11	odd	6	inner
280.2.br.a.67.44	yes	176	7.4	even	3	inner
280.2.br.a.107.15	yes	176	1.1	even	1	trivial
280.2.br.a.107.22	yes	176	8.3	odd	2	inner
280.2.br.a.123.15	yes	176	280.123	even	12	inner
280.2.br.a.123.22	yes	176	35.18	odd	12	inner
280.2.br.a.163.8	yes	176	5.3	odd	4	inner
280.2.br.a.163.44	yes	176	40.3	even	4	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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.br (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.766666 - 1.18837i) q^{2} +(-0.767348 - 0.205610i) q^{3} +(-0.824448 + 1.82217i) q^{4} +(-0.436848 + 2.19298i) q^{5} +(0.343958 + 1.06953i) q^{6} +(1.34095 - 2.28076i) q^{7} +(2.79748 - 0.417242i) q^{8} +(-2.05153 - 1.18445i) q^{9} +O(q^{10})\)	\(q+(-0.766666 - 1.18837i) q^{2} +(-0.767348 - 0.205610i) q^{3} +(-0.824448 + 1.82217i) q^{4} +(-0.436848 + 2.19298i) q^{5} +(0.343958 + 1.06953i) q^{6} +(1.34095 - 2.28076i) q^{7} +(2.79748 - 0.417242i) q^{8} +(-2.05153 - 1.18445i) q^{9} +(2.94099 - 1.16214i) q^{10} +(-2.69162 - 4.66202i) q^{11} +(1.00729 - 1.22872i) q^{12} +(-0.119049 - 0.119049i) q^{13} +(-3.73844 + 0.155030i) q^{14} +(0.786114 - 1.59296i) q^{15} +(-2.64057 - 3.00456i) q^{16} +(1.19588 - 4.46307i) q^{17} +(0.165270 + 3.34605i) q^{18} +(-1.01271 - 0.584690i) q^{19} +(-3.63581 - 2.60401i) q^{20} +(-1.49792 + 1.47442i) q^{21} +(-3.47664 + 6.77285i) q^{22} +(0.442952 - 0.118689i) q^{23} +(-2.23243 - 0.255021i) q^{24} +(-4.61833 - 1.91600i) q^{25} +(-0.0502036 + 0.232745i) q^{26} +(3.01591 + 3.01591i) q^{27} +(3.05037 + 4.32380i) q^{28} -5.92466 q^{29} +(-2.49571 + 0.287072i) q^{30} +(6.46598 - 3.73313i) q^{31} +(-1.54609 + 5.44147i) q^{32} +(1.10685 + 4.13082i) q^{33} +(-6.22062 + 2.00054i) q^{34} +(4.41586 + 3.93703i) q^{35} +(3.84964 - 2.76171i) q^{36} +(1.20649 + 4.50268i) q^{37} +(0.0815838 + 1.65174i) q^{38} +(0.0668744 + 0.115830i) q^{39} +(-0.307073 + 6.31710i) q^{40} -7.53811 q^{41} +(2.90056 + 0.649701i) q^{42} +(3.70533 - 3.70533i) q^{43} +(10.7141 - 1.06098i) q^{44} +(3.49368 - 3.98154i) q^{45} +(-0.480642 - 0.435396i) q^{46} +(-2.68167 - 10.0081i) q^{47} +(1.40847 + 2.84847i) q^{48} +(-3.40370 - 6.11677i) q^{49} +(1.26379 + 6.95721i) q^{50} +(-1.83531 + 3.17885i) q^{51} +(0.315077 - 0.118777i) q^{52} +(0.0105328 - 0.0393090i) q^{53} +(1.27183 - 5.89622i) q^{54} +(11.3995 - 3.86607i) q^{55} +(2.79966 - 6.93988i) q^{56} +(0.656885 + 0.656885i) q^{57} +(4.54223 + 7.04069i) q^{58} +(-3.51551 + 2.02968i) q^{59} +(2.25452 + 2.74574i) q^{60} +(7.68399 + 4.43635i) q^{61} +(-9.39359 - 4.82191i) q^{62} +(-5.45244 + 3.09075i) q^{63} +(7.65182 - 2.33445i) q^{64} +(0.313079 - 0.209066i) q^{65} +(4.06036 - 4.48230i) q^{66} +(0.494611 - 1.84591i) q^{67} +(7.14652 + 5.85866i) q^{68} -0.364302 q^{69} +(1.29316 - 8.26606i) q^{70} +9.18887i q^{71} +(-6.23332 - 2.45750i) q^{72} +(4.84593 + 1.29846i) q^{73} +(4.42588 - 4.88581i) q^{74} +(3.14991 + 2.41981i) q^{75} +(1.90033 - 1.36328i) q^{76} +(-14.2423 - 0.112618i) q^{77} +(0.0863785 - 0.168274i) q^{78} +(-1.88125 + 3.25842i) q^{79} +(7.74247 - 4.47818i) q^{80} +(1.85920 + 3.22023i) q^{81} +(5.77921 + 8.95806i) q^{82} +(2.95365 - 2.95365i) q^{83} +(-1.45168 - 3.94505i) q^{84} +(9.26502 + 4.57222i) q^{85} +(-7.24405 - 1.56255i) q^{86} +(4.54627 + 1.21817i) q^{87} +(-9.47495 - 11.9189i) q^{88} +(5.18897 + 2.99585i) q^{89} +(-7.41003 - 1.09928i) q^{90} +(-0.431161 + 0.111883i) q^{91} +(-0.148920 + 0.904984i) q^{92} +(-5.72923 + 1.53514i) q^{93} +(-9.83740 + 10.8597i) q^{94} +(1.72462 - 1.96544i) q^{95} +(2.30521 - 3.85761i) q^{96} +(12.9915 + 12.9915i) q^{97} +(-4.65949 + 8.73437i) q^{98} +12.7524i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Introduction

L-functions

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