LMFDB - Embedded newform 354.2.e.a.7.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [354,2,Mod(7,354)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(354, base_ring=CyclotomicField(58))

chi = DirichletCharacter(H, H._module([0, 18]))

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

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

chi := DirichletCharacter("354.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 354 = 2 \cdot 3 \cdot 59 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	354.e (of order $29$, degree $28$, 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:	$2.82670423155$
Analytic rank:	$0$
Dimension:	$56$
Relative dimension:	$2$ over $\Q(\zeta_{29})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label			7.1
Character	$\chi$	$=$	354.7
Dual form			354.2.e.a.253.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.561187 - 0.827689i) q^{2} +(0.0541389 - 0.998533i) q^{3} +(-0.370138 + 0.928977i) q^{4} +(-3.00541 + 1.39045i) q^{5} +(-0.856857 + 0.515554i) q^{6} +(0.371841 - 1.33925i) q^{7} +(0.976621 - 0.214970i) q^{8} +(-0.994138 - 0.108119i) q^{9} +O(q^{10})$	\(q+(-0.561187 - 0.827689i) q^{2} +(0.0541389 - 0.998533i) q^{3} +(-0.370138 + 0.928977i) q^{4} +(-3.00541 + 1.39045i) q^{5} +(-0.856857 + 0.515554i) q^{6} +(0.371841 - 1.33925i) q^{7} +(0.976621 - 0.214970i) q^{8} +(-0.994138 - 0.108119i) q^{9} +(2.83746 + 1.70724i) q^{10} +(-2.64206 + 2.50270i) q^{11} +(0.907575 + 0.419889i) q^{12} +(1.70775 - 0.185729i) q^{13} +(-1.31715 + 0.443801i) q^{14} +(1.22570 + 3.07628i) q^{15} +(-0.725995 - 0.687699i) q^{16} +(1.88027 + 6.77213i) q^{17} +(0.468408 + 0.883512i) q^{18} +(-5.33478 + 4.05539i) q^{19} +(-0.179280 - 3.30662i) q^{20} +(-1.31715 - 0.443801i) q^{21} +(3.55415 + 0.782327i) q^{22} +(-2.62983 + 4.96038i) q^{23} +(-0.161782 - 0.986827i) q^{24} +(3.86221 - 4.54695i) q^{25} +(-1.11210 - 1.30926i) q^{26} +(-0.161782 + 0.986827i) q^{27} +(1.10650 + 0.841138i) q^{28} +(2.15198 - 3.17393i) q^{29} +(1.85836 - 2.74087i) q^{30} +(0.387044 + 0.294223i) q^{31} +(-0.161782 + 0.986827i) q^{32} +(2.35599 + 2.77368i) q^{33} +(4.55003 - 5.35671i) q^{34} +(0.744627 + 4.54202i) q^{35} +(0.468408 - 0.883512i) q^{36} +(-2.40834 - 0.530116i) q^{37} +(6.35041 + 2.13970i) q^{38} +(-0.0930011 - 1.71530i) q^{39} +(-2.63624 + 2.00402i) q^{40} +(-4.69872 - 8.86272i) q^{41} +(0.371841 + 1.33925i) q^{42} +(-3.01379 - 2.85481i) q^{43} +(-1.34702 - 3.38076i) q^{44} +(3.13813 - 1.05736i) q^{45} +(5.58148 - 0.607022i) q^{46} +(3.00735 + 1.39135i) q^{47} +(-0.725995 + 0.687699i) q^{48} +(4.34268 + 2.61290i) q^{49} +(-5.93089 - 0.645023i) q^{50} +(6.86399 - 1.51088i) q^{51} +(-0.459566 + 1.65521i) q^{52} +(-7.94078 + 4.77781i) q^{53} +(0.907575 - 0.419889i) q^{54} +(4.46061 - 11.1953i) q^{55} +(0.0752483 - 1.38787i) q^{56} +(3.76062 + 5.54651i) q^{57} -3.83469 q^{58} +(-5.96666 - 4.83725i) q^{59} -3.31147 q^{60} +(4.17096 + 6.15170i) q^{61} +(0.0263212 - 0.485466i) q^{62} +(-0.514459 + 1.29120i) q^{63} +(0.907575 - 0.419889i) q^{64} +(-4.87425 + 2.93274i) q^{65} +(0.973597 - 3.50658i) q^{66} +(-14.0708 + 3.09721i) q^{67} +(-6.98711 - 0.759894i) q^{68} +(4.81073 + 2.89452i) q^{69} +(3.34151 - 3.16524i) q^{70} +(-3.69744 - 1.71062i) q^{71} +(-0.994138 + 0.108119i) q^{72} +(-0.824505 + 0.277808i) q^{73} +(0.912759 + 2.29085i) q^{74} +(-4.33119 - 4.10272i) q^{75} +(-1.79276 - 6.45694i) q^{76} +(2.36931 + 4.46899i) q^{77} +(-1.36755 + 1.03958i) q^{78} +(0.375348 + 6.92289i) q^{79} +(3.13813 + 1.05736i) q^{80} +(0.976621 + 0.214970i) q^{81} +(-4.69872 + 8.86272i) q^{82} +(-2.36842 - 14.4467i) q^{83} +(0.899809 - 1.05934i) q^{84} +(-15.0673 - 17.7386i) q^{85} +(-0.671598 + 4.09657i) q^{86} +(-3.05277 - 2.32066i) q^{87} +(-2.04229 + 3.01215i) q^{88} +(4.32567 - 6.37989i) q^{89} +(-2.63624 - 2.00402i) q^{90} +(0.386274 - 2.35617i) q^{91} +(-3.63468 - 4.27907i) q^{92} +(0.314746 - 0.370547i) q^{93} +(-0.536082 - 3.26995i) q^{94} +(10.3944 - 19.6059i) q^{95} +(0.976621 + 0.214970i) q^{96} +(10.7101 + 3.60865i) q^{97} +(-0.274384 - 5.06071i) q^{98} +(2.89717 - 2.20237i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 56 q - 2 q^{2} - 2 q^{3} - 2 q^{4} + 4 q^{5} - 2 q^{6} + 9 q^{7} - 2 q^{8} - 2 q^{9}+O(q^{10}) $ 56 * q - 2 * q^2 - 2 * q^3 - 2 * q^4 + 4 * q^5 - 2 * q^6 + 9 * q^7 - 2 * q^8 - 2 * q^9	\( 56 q - 2 q^{2} - 2 q^{3} - 2 q^{4} + 4 q^{5} - 2 q^{6} + 9 q^{7} - 2 q^{8} - 2 q^{9} + 4 q^{10} - 18 q^{11} - 2 q^{12} + 13 q^{13} - 20 q^{14} + 4 q^{15} - 2 q^{16} + 21 q^{17} - 2 q^{18} + 20 q^{19} + 4 q^{20} - 20 q^{21} + 11 q^{22} + 34 q^{23} - 2 q^{24} - 28 q^{25} - 16 q^{26} - 2 q^{27} + 9 q^{28} + 38 q^{29} + 4 q^{30} + 34 q^{31} - 2 q^{32} + 11 q^{33} - 8 q^{34} - 19 q^{35} - 2 q^{36} - 29 q^{37} + 20 q^{38} + 13 q^{39} + 4 q^{40} + 43 q^{41} + 9 q^{42} - 65 q^{43} + 11 q^{44} + 4 q^{45} + 5 q^{46} - 60 q^{47} - 2 q^{48} - 13 q^{49} - 86 q^{50} + 21 q^{51} - 16 q^{52} - 15 q^{53} - 2 q^{54} - 15 q^{55} + 9 q^{56} + 20 q^{57} - 78 q^{58} - 2 q^{59} - 54 q^{60} + 4 q^{61} + 5 q^{62} + 9 q^{63} - 2 q^{64} - 57 q^{65} + 11 q^{66} - 56 q^{67} - 8 q^{68} - 53 q^{69} + 10 q^{70} + 23 q^{71} - 2 q^{72} - 21 q^{73} + 30 q^{75} - 9 q^{76} - 57 q^{77} + 13 q^{78} + 99 q^{79} + 4 q^{80} - 2 q^{81} + 43 q^{82} + 33 q^{83} + 9 q^{84} - 45 q^{85} - 7 q^{86} + 9 q^{87} - 18 q^{88} + 32 q^{89} + 4 q^{90} - 75 q^{91} + 34 q^{92} + 5 q^{93} + 27 q^{94} + 82 q^{95} - 2 q^{96} + 70 q^{97} + 45 q^{98} + 11 q^{99}+O(q^{100}) \) 56 * q - 2 * q^2 - 2 * q^3 - 2 * q^4 + 4 * q^5 - 2 * q^6 + 9 * q^7 - 2 * q^8 - 2 * q^9 + 4 * q^10 - 18 * q^11 - 2 * q^12 + 13 * q^13 - 20 * q^14 + 4 * q^15 - 2 * q^16 + 21 * q^17 - 2 * q^18 + 20 * q^19 + 4 * q^20 - 20 * q^21 + 11 * q^22 + 34 * q^23 - 2 * q^24 - 28 * q^25 - 16 * q^26 - 2 * q^27 + 9 * q^28 + 38 * q^29 + 4 * q^30 + 34 * q^31 - 2 * q^32 + 11 * q^33 - 8 * q^34 - 19 * q^35 - 2 * q^36 - 29 * q^37 + 20 * q^38 + 13 * q^39 + 4 * q^40 + 43 * q^41 + 9 * q^42 - 65 * q^43 + 11 * q^44 + 4 * q^45 + 5 * q^46 - 60 * q^47 - 2 * q^48 - 13 * q^49 - 86 * q^50 + 21 * q^51 - 16 * q^52 - 15 * q^53 - 2 * q^54 - 15 * q^55 + 9 * q^56 + 20 * q^57 - 78 * q^58 - 2 * q^59 - 54 * q^60 + 4 * q^61 + 5 * q^62 + 9 * q^63 - 2 * q^64 - 57 * q^65 + 11 * q^66 - 56 * q^67 - 8 * q^68 - 53 * q^69 + 10 * q^70 + 23 * q^71 - 2 * q^72 - 21 * q^73 + 30 * q^75 - 9 * q^76 - 57 * q^77 + 13 * q^78 + 99 * q^79 + 4 * q^80 - 2 * q^81 + 43 * q^82 + 33 * q^83 + 9 * q^84 - 45 * q^85 - 7 * q^86 + 9 * q^87 - 18 * q^88 + 32 * q^89 + 4 * q^90 - 75 * q^91 + 34 * q^92 + 5 * q^93 + 27 * q^94 + 82 * q^95 - 2 * q^96 + 70 * q^97 + 45 * q^98 + 11 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/354\mathbb{Z}\right)^\times$.

$n$	$61$	$119$
$\chi(n)$	$e\left(\frac{9}{29}\right)$	$1$

Coefficient data

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

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

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

$2$	−0.561187	−	0.827689i	−0.396819	−	0.585265i
$2$	−0.561187	−	0.827689i	−0.396819	−	0.585265i
$3$	0.0541389	−	0.998533i	0.0312571	−	0.576504i
$3$	0.0541389	−	0.998533i	0.0312571	−	0.576504i
$4$	−0.370138	+	0.928977i	−0.185069	+	0.464488i
$5$	−3.00541	+	1.39045i	−1.34406	+	0.621829i	−0.954235	−	0.299059i	$-0.903327\pi$
$5$	−3.00541	+	1.39045i	−1.34406	+	0.621829i	−0.389827	+	0.920888i	$0.627465\pi$
$6$	−0.856857	+	0.515554i	−0.349810	+	0.210474i
$7$	0.371841	−	1.33925i	0.140543	−	0.506188i	−0.859445	−	0.511229i	$-0.829191\pi$
$7$	0.371841	−	1.33925i	0.140543	−	0.506188i	0.999987	+	0.00504014i	$0.00160433\pi$
$8$	0.976621	−	0.214970i	0.345288	−	0.0760035i
$9$	−0.994138	−	0.108119i	−0.331379	−	0.0360397i
$10$	2.83746	+	1.70724i	0.897284	+	0.539878i
$11$	−2.64206	+	2.50270i	−0.796612	+	0.754591i	−0.973266	−	0.229682i	$-0.926231\pi$
$11$	−2.64206	+	2.50270i	−0.796612	+	0.754591i	0.176653	+	0.984273i	$0.443473\pi$
$12$	0.907575	+	0.419889i	0.261994	+	0.121212i
$13$	1.70775	−	0.185729i	0.473646	−	0.0515121i	0.131816	−	0.991274i	$-0.457919\pi$
$13$	1.70775	−	0.185729i	0.473646	−	0.0515121i	0.341829	+	0.939762i	$0.388954\pi$
$14$	−1.31715	+	0.443801i	−0.352024	+	0.118611i
$15$	1.22570	+	3.07628i	0.316475	+	0.794293i
$16$	−0.725995	−	0.687699i	−0.181499	−	0.171925i
$17$	1.88027	+	6.77213i	0.456033	+	1.64248i	0.731992	+	0.681313i	$0.238591\pi$
$17$	1.88027	+	6.77213i	0.456033	+	1.64248i	−0.275959	+	0.961169i	$0.588995\pi$
$18$	0.468408	+	0.883512i	0.110405	+	0.208246i
$19$	−5.33478	+	4.05539i	−1.22388	+	0.930370i	−0.999031	−	0.0440228i	$-0.985983\pi$
$19$	−5.33478	+	4.05539i	−1.22388	+	0.930370i	−0.224851	+	0.974393i	$0.572189\pi$
$20$	−0.179280	−	3.30662i	−0.0400881	−	0.739382i
$21$	−1.31715	−	0.443801i	−0.287426	−	0.0968453i
$22$	3.55415	+	0.782327i	0.757747	+	0.166793i
$23$	−2.62983	+	4.96038i	−0.548357	+	1.03431i	0.442162	+	0.896935i	$0.354212\pi$
$23$	−2.62983	+	4.96038i	−0.548357	+	1.03431i	−0.990519	+	0.137375i	$0.956133\pi$
$24$	−0.161782	−	0.986827i	−0.0330236	−	0.201435i
$25$	3.86221	−	4.54695i	0.772443	−	0.909390i
$26$	−1.11210	−	1.30926i	−0.218100	−	0.256767i
$27$	−0.161782	+	0.986827i	−0.0311350	+	0.189915i
$28$	1.10650	+	0.841138i	0.209109	+	0.158960i
$29$	2.15198	−	3.17393i	0.399613	−	0.589385i	−0.573644	−	0.819105i	$-0.694471\pi$
$29$	2.15198	−	3.17393i	0.399613	−	0.589385i	0.973257	+	0.229720i	$0.0737811\pi$
$30$	1.85836	−	2.74087i	0.339288	−	0.500412i
$31$	0.387044	+	0.294223i	0.0695151	+	0.0528440i	0.639355	−	0.768912i	$-0.279202\pi$
$31$	0.387044	+	0.294223i	0.0695151	+	0.0528440i	−0.569840	+	0.821756i	$0.692995\pi$
$32$	−0.161782	+	0.986827i	−0.0285993	+	0.174448i
$33$	2.35599	+	2.77368i	0.410125	+	0.482836i
$34$	4.55003	−	5.35671i	0.780324	−	0.918668i
$35$	0.744627	+	4.54202i	0.125865	+	0.767742i
$36$	0.468408	−	0.883512i	0.0780681	−	0.147252i
$37$	−2.40834	−	0.530116i	−0.395929	−	0.0871505i	0.0125433	−	0.999921i	$-0.496007\pi$
$37$	−2.40834	−	0.530116i	−0.395929	−	0.0871505i	−0.408472	+	0.912771i	$0.633938\pi$
$38$	6.35041	+	2.13970i	1.03017	+	0.347105i
$39$	−0.0930011	−	1.71530i	−0.0148921	−	0.274668i
$40$	−2.63624	+	2.00402i	−0.416826	+	0.316863i
$41$	−4.69872	−	8.86272i	−0.733817	−	1.38413i	−0.916129	−	0.400884i	$-0.868703\pi$
$41$	−4.69872	−	8.86272i	−0.733817	−	1.38413i	0.182312	−	0.983241i	$-0.441642\pi$
$42$	0.371841	+	1.33925i	0.0573763	+	0.206651i
$43$	−3.01379	−	2.85481i	−0.459599	−	0.435355i	0.422540	−	0.906344i	$-0.361139\pi$
$43$	−3.01379	−	2.85481i	−0.459599	−	0.435355i	−0.882139	+	0.470989i	$0.843897\pi$
$44$	−1.34702	−	3.38076i	−0.203071	−	0.509669i
$45$	3.13813	−	1.05736i	0.467805	−	0.157622i
$46$	5.58148	−	0.607022i	0.822944	−	0.0895005i
$47$	3.00735	+	1.39135i	0.438667	+	0.202949i	0.626776	−	0.779199i	$-0.284374\pi$
$47$	3.00735	+	1.39135i	0.438667	+	0.202949i	−0.188110	+	0.982148i	$0.560236\pi$
$48$	−0.725995	+	0.687699i	−0.104788	+	0.0992609i
$49$	4.34268	+	2.61290i	0.620383	+	0.373272i
$50$	−5.93089	−	0.645023i	−0.838754	−	0.0912200i
$51$	6.86399	−	1.51088i	0.961151	−	0.211565i
$52$	−0.459566	+	1.65521i	−0.0637304	+	0.229536i
$53$	−7.94078	+	4.77781i	−1.09075	+	0.656283i	−0.943017	−	0.332745i	$-0.892025\pi$
$53$	−7.94078	+	4.77781i	−1.09075	+	0.656283i	−0.147733	+	0.989027i	$0.547198\pi$
$54$	0.907575	−	0.419889i	0.123505	−	0.0571397i
$55$	4.46061	−	11.1953i	0.601469	−	1.50957i
$56$	0.0752483	−	1.38787i	0.0100555	−	0.185462i
$57$	3.76062	+	5.54651i	0.498107	+	0.734653i
$58$	−3.83469			−0.503520
$59$	−5.96666	−	4.83725i	−0.776792	−	0.629757i
$59$	−5.96666	−	4.83725i	−0.776792	−	0.629757i
$60$	−3.31147			−0.427509
$61$	4.17096	+	6.15170i	0.534036	+	0.787645i	0.995011	−	0.0997688i	$-0.0318103\pi$
$61$	4.17096	+	6.15170i	0.534036	+	0.787645i	−0.460974	+	0.887413i	$0.652500\pi$
$62$	0.0263212	−	0.485466i	0.00334280	−	0.0616543i
$63$	−0.514459	+	1.29120i	−0.0648158	+	0.162675i
$64$	0.907575	−	0.419889i	0.113447	−	0.0524861i
$65$	−4.87425	+	2.93274i	−0.604577	+	0.363762i
$66$	0.973597	−	3.50658i	0.119842	−	0.431630i
$67$	−14.0708	+	3.09721i	−1.71902	+	0.378385i	−0.961581	−	0.274523i	$-0.911480\pi$
$67$	−14.0708	+	3.09721i	−1.71902	+	0.378385i	−0.757438	+	0.652907i	$0.773549\pi$
$68$	−6.98711	−	0.759894i	−0.847312	−	0.0921507i
$69$	4.81073	+	2.89452i	0.579144	+	0.348459i
$70$	3.34151	−	3.16524i	0.399386	−	0.378319i
$71$	−3.69744	−	1.71062i	−0.438806	−	0.203013i	0.188032	−	0.982163i	$-0.439789\pi$
$71$	−3.69744	−	1.71062i	−0.438806	−	0.203013i	−0.626838	+	0.779150i	$0.715651\pi$
$72$	−0.994138	+	0.108119i	−0.117160	+	0.0127419i
$73$	−0.824505	+	0.277808i	−0.0965010	+	0.0325150i	−0.367138	−	0.930167i	$-0.619662\pi$
$73$	−0.824505	+	0.277808i	−0.0965010	+	0.0325150i	0.270637	+	0.962682i	$0.412766\pi$
$74$	0.912759	+	2.29085i	0.106106	+	0.266306i
$75$	−4.33119	−	4.10272i	−0.500122	−	0.473741i
$76$	−1.79276	−	6.45694i	−0.205644	−	0.740661i
$77$	2.36931	+	4.46899i	0.270008	+	0.509288i
$78$	−1.36755	+	1.03958i	−0.154844	+	0.117710i
$79$	0.375348	+	6.92289i	0.0422300	+	0.778886i	0.940573	+	0.339591i	$0.110289\pi$
$79$	0.375348	+	6.92289i	0.0422300	+	0.778886i	−0.898343	+	0.439294i	$0.855228\pi$
$80$	3.13813	+	1.05736i	0.350853	+	0.118216i
$81$	0.976621	+	0.214970i	0.108513	+	0.0238856i
$82$	−4.69872	+	8.86272i	−0.518887	+	0.978724i
$83$	−2.36842	−	14.4467i	−0.259968	−	1.58574i	−0.717510	−	0.696548i	$-0.754718\pi$
$83$	−2.36842	−	14.4467i	−0.259968	−	1.58574i	0.457542	−	0.889188i	$-0.348730\pi$
$84$	0.899809	−	1.05934i	0.0981773	−	0.115583i
$85$	−15.0673	−	17.7386i	−1.63428	−	1.92402i
$86$	−0.671598	+	4.09657i	−0.0724203	+	0.441744i
$87$	−3.05277	−	2.32066i	−0.327292	−	0.248801i
$88$	−2.04229	+	3.01215i	−0.217709	+	0.321096i
$89$	4.32567	−	6.37989i	0.458520	−	0.676267i	−0.526210	−	0.850355i	$-0.676387\pi$
$89$	4.32567	−	6.37989i	0.458520	−	0.676267i	0.984730	+	0.174088i	$0.0556976\pi$
$90$	−2.63624	−	2.00402i	−0.277884	−	0.211242i
$91$	0.386274	−	2.35617i	0.0404925	−	0.246994i
$92$	−3.63468	−	4.27907i	−0.378941	−	0.446124i
$93$	0.314746	−	0.370547i	0.0326376	−	0.0384240i
$94$	−0.536082	−	3.26995i	−0.0552926	−	0.337270i
$95$	10.3944	−	19.6059i	1.06644	−	2.01152i
$96$	0.976621	+	0.214970i	0.0996759	+	0.0219403i
$97$	10.7101	+	3.60865i	1.08745	+	0.366403i	0.805239	−	0.592951i	$-0.202037\pi$
$97$	10.7101	+	3.60865i	1.08745	+	0.366403i	0.282206	+	0.959354i	$0.408934\pi$
$98$	−0.274384	−	5.06071i	−0.0277170	−	0.511209i
$99$	2.89717	−	2.20237i	0.291176	−	0.221346i
$100$	2.79446	+	5.27091i	0.279446	+	0.527091i
$101$	2.41332	+	8.69200i	0.240135	+	0.864886i	0.981126	+	0.193371i	$0.0619423\pi$
$101$	2.41332	+	8.69200i	0.240135	+	0.864886i	−0.740991	+	0.671515i	$0.765644\pi$
$102$	−5.10252	−	4.83337i	−0.505225	−	0.478574i
$103$	0.768366	+	1.92845i	0.0757094	+	0.190016i	0.961960	−	0.273189i	$-0.0880785\pi$
$103$	0.768366	+	1.92845i	0.0757094	+	0.190016i	−0.886251	+	0.463205i	$0.846699\pi$
$104$	1.62790	−	0.548504i	0.159629	−	0.0537852i
$105$	4.57567	−	0.497634i	0.446540	−	0.0485641i
$106$	8.41080	+	3.89125i	0.816929	+	0.377952i
$107$	11.9921	−	11.3595i	1.15932	−	1.09816i	0.165605	−	0.986192i	$-0.447042\pi$
$107$	11.9921	−	11.3595i	1.15932	−	1.09816i	0.993712	−	0.111970i	$-0.0357162\pi$
$108$	−0.856857	−	0.515554i	−0.0824511	−	0.0496092i
$109$	8.76230	+	0.952957i	0.839276	+	0.0912768i	0.517653	−	0.855591i	$-0.326806\pi$
$109$	8.76230	+	0.952957i	0.839276	+	0.0912768i	0.321623	+	0.946868i	$0.395772\pi$
$110$	−11.7695	+	2.59065i	−1.12217	+	0.247009i
$111$	−0.659723	+	2.37611i	−0.0626182	+	0.225530i
$112$	−1.19096	+	0.716574i	−0.112535	+	0.0677099i
$113$	−14.9093	+	6.89776i	−1.40254	+	0.648886i	−0.967812	−	0.251673i	$-0.919019\pi$
$113$	−14.9093	+	6.89776i	−1.40254	+	0.648886i	−0.434733	+	0.900560i	$0.643157\pi$
$114$	2.48037	−	6.22525i	0.232308	−	0.583048i
$115$	1.00654	−	18.5646i	0.0938608	−	1.73116i
$116$	2.15198	+	3.17393i	0.199806	+	0.294692i
$117$	−1.71782			−0.158813
$118$	−0.655331	+	7.65314i	−0.0603281	+	0.704529i
$119$	9.76873			0.895498
$120$	1.85836	+	2.74087i	0.169644	+	0.250206i
$121$	0.121487	−	2.24070i	0.0110443	−	0.203700i
$122$	2.75101	−	6.90451i	0.249065	−	0.625105i
$123$	−9.10411	+	4.21201i	−0.820890	+	0.379784i
$124$	−0.416586	+	0.250652i	−0.0374105	+	0.0225092i
$125$	−0.855666	+	3.08183i	−0.0765331	+	0.275647i
$126$	1.35742	−	0.298790i	0.120928	−	0.0266183i
$127$	0.662873	+	0.0720917i	0.0588204	+	0.00639711i	0.137482	−	0.990504i	$-0.456099\pi$
$127$	0.662873	+	0.0720917i	0.0588204	+	0.00639711i	−0.0786615	+	0.996901i	$0.525065\pi$
$128$	−0.856857	−	0.515554i	−0.0757362	−	0.0455690i
$129$	−3.01379	+	2.85481i	−0.265349	+	0.251352i
$130$	5.16277	+	2.38855i	0.452805	+	0.209490i
$131$	−11.2826	+	1.22705i	−0.985764	+	0.107208i	−0.586777	−	0.809748i	$-0.699604\pi$
$131$	−11.2826	+	1.22705i	−0.985764	+	0.107208i	−0.398987	+	0.916957i	$0.630638\pi$
$132$	−3.44873	+	1.16201i	−0.300173	+	0.101140i
$133$	3.44749	+	8.65255i	0.298935	+	0.750271i
$134$	10.4599	+	9.90811i	0.903595	+	0.855930i
$135$	−0.885913	−	3.19077i	−0.0762473	−	0.274618i
$136$	3.29212	+	6.20960i	0.282297	+	0.532469i
$137$	−5.79810	+	4.40760i	−0.495365	+	0.376567i	−0.822822	−	0.568299i	$-0.807602\pi$
$137$	−5.79810	+	4.40760i	−0.495365	+	0.376567i	0.327457	+	0.944866i	$0.393808\pi$
$138$	−0.303957	−	5.60615i	−0.0258745	−	0.477227i
$139$	−8.11187	−	2.73321i	−0.688039	−	0.231827i	−0.0465009	−	0.998918i	$-0.514807\pi$
$139$	−8.11187	−	2.73321i	−0.688039	−	0.231827i	−0.641539	+	0.767091i	$0.721704\pi$
$140$	−4.49505	−	0.989435i	−0.379901	−	0.0836225i
$141$	1.55212	−	2.92761i	0.130712	−	0.246549i
$142$	0.659097	+	4.02031i	0.0553102	+	0.337377i
$143$	−4.04717	+	4.76470i	−0.338441	+	0.398444i
$144$	0.647386	+	0.762162i	0.0539489	+	0.0635135i
$145$	−2.05439	+	12.5312i	−0.170608	+	1.04066i
$146$	0.692640	+	0.526531i	0.0573233	+	0.0435760i
$147$	2.84418	−	4.19485i	0.234584	−	0.345985i
$148$	1.38388	−	2.04108i	0.113755	−	0.167775i
$149$	13.5537	+	10.3033i	1.11036	+	0.844076i	0.988909	−	0.148521i	$-0.0474511\pi$
$149$	13.5537	+	10.3033i	1.11036	+	0.844076i	0.121454	+	0.992597i	$0.461244\pi$
$150$	−0.965168	+	5.88727i	−0.0788057	+	0.480693i
$151$	1.79719	+	2.11582i	0.146254	+	0.172183i	0.830411	−	0.557151i	$-0.188106\pi$
$151$	1.79719	+	2.11582i	0.146254	+	0.172183i	−0.684157	+	0.729334i	$0.739830\pi$
$152$	−4.33826	+	5.10740i	−0.351880	+	0.414265i
$153$	−1.13705	−	6.93572i	−0.0919254	−	0.560720i
$154$	2.36931	−	4.46899i	0.190924	−	0.360121i
$155$	−1.57233	−	0.346096i	−0.126293	−	0.0277991i
$156$	1.62790	+	0.548504i	0.130336	+	0.0439154i
$157$	0.887359	+	16.3664i	0.0708190	+	1.30618i	0.790752	+	0.612136i	$0.209690\pi$
$157$	0.887359	+	16.3664i	0.0708190	+	1.30618i	−0.719933	+	0.694043i	$0.755828\pi$
$158$	5.51936	−	4.19571i	0.439097	−	0.333793i
$159$	4.34090	+	8.18780i	0.344255	+	0.649335i
$160$	−0.885913	−	3.19077i	−0.0700376	−	0.252253i
$161$	5.66531	+	5.36646i	0.446489	+	0.422936i
$162$	−0.370138	−	0.928977i	−0.0290808	−	0.0729873i
$163$	4.89513	−	1.64936i	0.383416	−	0.129188i	−0.120992	−	0.992654i	$-0.538607\pi$
$163$	4.89513	−	1.64936i	0.383416	−	0.129188i	0.504408	+	0.863466i	$0.331711\pi$
$164$	9.97244	−	1.08457i	0.778717	−	0.0846905i
$165$	−10.9374	−	5.06017i	−0.851474	−	0.393934i
$166$	−10.6283	+	10.0676i	−0.824914	+	0.781400i
$167$	20.9915	+	12.6302i	1.62437	+	0.977352i	0.976477	+	0.215621i	$0.0691777\pi$
$167$	20.9915	+	12.6302i	1.62437	+	0.977352i	0.647894	+	0.761730i	$0.275650\pi$
$168$	−1.38176	−	0.150276i	−0.106605	−	0.0115940i
$169$	−9.81414	+	2.16026i	−0.754934	+	0.166174i
$170$	−6.22647	+	22.4257i	−0.477549	+	1.71997i
$171$	5.74197	−	3.45483i	0.439099	−	0.264197i
$172$	3.76758	−	1.74307i	0.287275	−	0.132908i
$173$	1.59974	−	4.01506i	0.121626	−	0.305259i	−0.855539	−	0.517738i	$-0.826774\pi$
$173$	1.59974	−	4.01506i	0.121626	−	0.305259i	0.977166	+	0.212479i	$0.0681536\pi$
$174$	−0.207606	+	3.82907i	−0.0157386	+	0.290281i
$175$	−4.65337	−	6.86321i	−0.351762	−	0.518810i
$176$	3.63923			0.274317
$177$	−5.15319	+	5.69602i	−0.387337	+	0.428139i
$178$	−7.70808			−0.577745
$179$	5.29873	+	7.81504i	0.396045	+	0.584123i	0.972470	−	0.233027i	$-0.0748630\pi$
$179$	5.29873	+	7.81504i	0.396045	+	0.584123i	−0.576425	+	0.817150i	$0.695553\pi$
$180$	−0.179280	+	3.30662i	−0.0133627	+	0.246461i
$181$	2.69015	−	6.75176i	0.199957	−	0.501855i	−0.794467	−	0.607307i	$-0.792250\pi$
$181$	2.69015	−	6.75176i	0.199957	−	0.501855i	0.994424	+	0.105452i	$0.0336291\pi$
$182$	−2.16695	+	1.00254i	−0.160625	+	0.0743129i
$183$	6.36849	−	3.83179i	0.470772	−	0.283254i
$184$	−1.50201	+	5.40974i	−0.110729	+	0.398812i
$185$	7.97516	−	1.75546i	0.586345	−	0.129064i
$186$	−0.483329	−	0.0525652i	−0.0354394	−	0.00385427i
$187$	−21.9164	−	13.1866i	−1.60268	−	0.964303i
$188$	−2.40566	+	2.27876i	−0.175451	+	0.166196i
$189$	1.26145	+	0.583609i	0.0917569	+	0.0424513i
$190$	−22.0607	+	2.39925i	−1.60045	+	0.174060i
$191$	19.1256	−	6.44416i	1.38388	−	0.466283i	0.473769	−	0.880649i	$-0.342893\pi$
$191$	19.1256	−	6.44416i	1.38388	−	0.466283i	0.910111	+	0.414366i	$0.135996\pi$
$192$	−0.370138	−	0.928977i	−0.0267124	−	0.0670431i
$193$	−8.22620	−	7.79227i	−0.592135	−	0.560900i	0.331849	−	0.943333i	$-0.392328\pi$
$193$	−8.22620	−	7.79227i	−0.592135	−	0.560900i	−0.923983	+	0.382433i	$0.875086\pi$
$194$	−3.02353	−	10.8898i	−0.217076	−	0.781839i
$195$	2.66455	+	5.02588i	0.190813	+	0.359911i
$196$	−4.03472	+	3.06711i	−0.288194	+	0.219079i
$197$	0.886419	+	16.3490i	0.0631547	+	1.16482i	0.842668	+	0.538434i	$0.180984\pi$
$197$	0.886419	+	16.3490i	0.0631547	+	1.16482i	−0.779513	+	0.626386i	$0.784533\pi$
$198$	−3.44873	−	1.16201i	−0.245090	−	0.0825806i
$199$	5.28584	+	1.16350i	0.374703	+	0.0824784i	0.398329	−	0.917242i	$-0.369590\pi$
$199$	5.28584	+	1.16350i	0.374703	+	0.0824784i	−0.0236263	+	0.999721i	$0.507521\pi$
$200$	2.79446	−	5.27091i	0.197598	−	0.372709i
$201$	2.33089	+	14.2178i	0.164408	+	1.00285i
$202$	5.83995	−	6.87532i	0.410897	−	0.483746i
$203$	−3.45049	−	4.06223i	−0.242177	−	0.285113i
$204$	−1.13705	+	6.93572i	−0.0796097	+	0.485598i
$205$	26.4448	+	20.1028i	1.84698	+	1.40404i
$206$	1.16496	−	1.71819i	0.0811668	−	0.119712i
$207$	3.15072	−	4.64697i	0.218990	−	0.322987i
$208$	−1.36755	−	1.03958i	−0.0948223	−	0.0720821i
$209$	3.94541	−	24.0659i	0.272910	−	1.66467i
$210$	−2.97970	−	3.50797i	−0.205618	−	0.242073i
$211$	−12.5784	+	14.8084i	−0.865930	+	1.01945i	0.133665	+	0.991027i	$0.457325\pi$
$211$	−12.5784	+	14.8084i	−0.865930	+	1.01945i	−0.999596	+	0.0284256i	$0.990951\pi$
$212$	−1.49929	−	9.14525i	−0.102971	−	0.628098i
$213$	−1.90829	+	3.59941i	−0.130754	+	0.246628i
$214$	−16.1319	−	3.55090i	−1.10275	−	0.242735i
$215$	13.0272	+	4.38936i	0.888445	+	0.299352i
$216$	0.0541389	+	0.998533i	0.00368369	+	0.0679416i
$217$	0.537957	−	0.408944i	0.0365189	−	0.0277609i
$218$	−4.12854	−	7.78724i	−0.279620	−	0.527419i
$219$	0.232763	+	0.838336i	0.0157287	+	0.0566495i
$220$	8.74913	+	8.28761i	0.589866	+	0.558751i
$221$	4.46882	+	11.2159i	0.300606	+	0.754463i
$222$	2.33691	−	0.787396i	0.156843	−	0.0528465i
$223$	−3.28469	+	0.357232i	−0.219959	+	0.0239220i	−0.217435	−	0.976075i	$-0.569769\pi$
$223$	−3.28469	+	0.357232i	−0.219959	+	0.0239220i	−0.00252430	+	0.999997i	$0.500804\pi$
$224$	1.26145	+	0.583609i	0.0842841	+	0.0389940i
$225$	−4.33119	+	4.10272i	−0.288746	+	0.273514i
$226$	14.0761	+	8.46930i	0.936327	+	0.563369i
$227$	1.29123	+	0.140430i	0.0857021	+	0.00932067i	0.150870	−	0.988554i	$-0.451793\pi$
$227$	1.29123	+	0.140430i	0.0857021	+	0.00932067i	−0.0651675	+	0.997874i	$0.520758\pi$
$228$	−6.54453	+	1.44056i	−0.433422	+	0.0954033i
$229$	5.59963	−	20.1680i	0.370034	−	1.33274i	−0.510956	−	0.859607i	$-0.670709\pi$
$229$	5.59963	−	20.1680i	0.370034	−	1.33274i	0.880990	−	0.473135i	$-0.156878\pi$
$230$	−15.9306	+	9.58512i	−1.05043	+	0.632024i
$231$	4.59070	−	2.12389i	0.302046	−	0.139741i
$232$	1.41937	−	3.56234i	0.0931860	−	0.233879i
$233$	0.865238	−	15.9584i	0.0566836	−	1.04547i	−0.822433	−	0.568862i	$-0.807384\pi$
$233$	0.865238	−	15.9584i	0.0566836	−	1.04547i	0.879117	−	0.476606i	$-0.158133\pi$
$234$	0.964020	+	1.42182i	0.0630200	+	0.0929475i
$235$	−10.9729			−0.715794
$236$	6.70218	−	3.75243i	0.436275	−	0.244263i
$237$	6.93306			0.450350
$238$	−5.48208	−	8.08547i	−0.355351	−	0.524103i
$239$	0.138405	−	2.55272i	0.00895266	−	0.165122i	−0.990638	−	0.136515i	$-0.956410\pi$
$239$	0.138405	−	2.55272i	0.00895266	−	0.165122i	0.999591	−	0.0286075i	$-0.00910728\pi$
$240$	1.22570	−	3.07628i	0.0791188	−	0.198573i
$241$	11.2326	−	5.19675i	0.723555	−	0.334752i	−0.0233095	−	0.999728i	$-0.507420\pi$
$241$	11.2326	−	5.19675i	0.723555	−	0.334752i	0.746865	+	0.664976i	$0.231558\pi$
$242$	−1.92278	+	1.15690i	−0.123601	+	0.0743683i
$243$	0.267528	−	0.963550i	0.0171620	−	0.0618118i
$244$	−7.25862	+	1.59774i	−0.464685	+	0.102285i
$245$	−16.6847	−	1.81457i	−1.06594	−	0.115928i
$246$	8.59534	+	5.17165i	0.548019	+	0.329732i
$247$	−8.35727	+	7.91643i	−0.531761	+	0.503710i
$248$	0.441244	+	0.204141i	0.0280190	+	0.0129630i
$249$	−14.5538	+	1.58282i	−0.922308	+	0.100307i
$250$	3.03099	−	1.02126i	0.191696	−	0.0645901i
$251$	5.57579	+	13.9942i	0.351941	+	0.883305i	0.993247	+	0.116020i	$0.0370135\pi$
$251$	5.57579	+	13.9942i	0.351941	+	0.883305i	−0.641306	+	0.767285i	$0.721607\pi$
$252$	−1.00907	−	0.955841i	−0.0635654	−	0.0602123i
$253$	−5.46615	−	19.6873i	−0.343654	−	1.23773i
$254$	−0.312326	−	0.589109i	−0.0195971	−	0.0369640i
$255$	−18.5283	+	14.0849i	−1.16029	+	0.882028i
$256$	0.0541389	+	0.998533i	0.00338368	+	0.0624083i
$257$	16.0286	+	5.40067i	0.999837	+	0.336884i	0.771176	−	0.636622i	$-0.219669\pi$
$257$	16.0286	+	5.40067i	0.999837	+	0.336884i	0.228661	+	0.973506i	$0.426565\pi$
$258$	4.05420	+	0.892397i	0.252403	+	0.0555582i
$259$	−1.60548	+	3.02825i	−0.0997594	+	0.188166i
$260$	−0.920301	−	5.61359i	−0.0570747	−	0.348140i
$261$	−2.48253	+	2.92266i	−0.153665	+	0.180908i
$262$	7.34726	+	8.64986i	0.453915	+	0.534390i
$263$	−1.65252	+	10.0799i	−0.101899	+	0.621555i	0.885664	+	0.464327i	$0.153704\pi$
$263$	−1.65252	+	10.0799i	−0.101899	+	0.621555i	−0.987562	+	0.157228i	$0.949744\pi$
$264$	2.89717	+	2.20237i	0.178308	+	0.135546i
$265$	17.2220	−	25.4006i	1.05794	−	1.56034i
$266$	5.22693	−	7.70915i	0.320484	−	0.472678i
$267$	−6.13635	−	4.66473i	−0.375538	−	0.285477i
$268$	2.33089	−	14.2178i	0.142382	−	0.868491i
$269$	−12.5408	−	14.7642i	−0.764626	−	0.900187i	0.232754	−	0.972536i	$-0.425226\pi$
$269$	−12.5408	−	14.7642i	−0.764626	−	0.900187i	−0.997379	+	0.0723486i	$0.976951\pi$
$270$	−2.14380	+	2.52388i	−0.130468	+	0.153598i
$271$	−2.59041	−	15.8008i	−0.157356	−	0.959830i	−0.940947	−	0.338553i	$-0.890063\pi$
$271$	−2.59041	−	15.8008i	−0.157356	−	0.959830i	0.783591	−	0.621277i	$-0.213386\pi$
$272$	3.29212	−	6.20960i	0.199614	−	0.376512i
$273$	−2.33180	−	0.513268i	−0.141127	−	0.0310644i
$274$	6.90194	+	2.32554i	0.416962	+	0.140491i
$275$	1.17542	+	21.6793i	0.0708803	+	1.30731i
$276$	−4.46957	+	3.39768i	−0.269037	+	0.204516i
$277$	11.6506	+	21.9754i	0.700017	+	1.32037i	0.937161	+	0.348898i	$0.113444\pi$
$277$	11.6506	+	21.9754i	0.700017	+	1.32037i	−0.237143	+	0.971475i	$0.576211\pi$
$278$	2.29003	+	8.24794i	0.137347	+	0.494679i
$279$	−0.352964	−	0.334345i	−0.0211314	−	0.0200167i
$280$	1.70362	+	4.27576i	0.101811	+	0.255525i
$281$	24.5915	−	8.28585i	1.46701	−	0.494292i	0.531334	−	0.847162i	$-0.321691\pi$
$281$	24.5915	−	8.28585i	1.46701	−	0.494292i	0.935672	+	0.352870i	$0.114794\pi$
$282$	−3.29418	+	0.358264i	−0.196166	+	0.0213343i
$283$	−23.9842	−	11.0963i	−1.42572	−	0.659606i	−0.452979	−	0.891521i	$-0.649639\pi$
$283$	−23.9842	−	11.0963i	−1.42572	−	0.659606i	−0.972736	+	0.231915i	$0.925501\pi$
$284$	2.95769	−	2.80167i	0.175507	−	0.166249i
$285$	−19.0144	−	11.4406i	−1.12631	−	0.677681i
$286$	6.21491	+	0.675912i	0.367495	+	0.0399675i
$287$	−13.6166	+	2.99723i	−0.803761	+	0.176921i
$288$	0.267528	−	0.963550i	0.0157643	−	0.0567777i
$289$	−27.7597	+	16.7025i	−1.63292	+	0.982498i
$290$	11.5248	−	5.33196i	0.676762	−	0.313103i
$291$	4.18319	−	10.4990i	0.245223	−	0.615463i
$292$	0.0471035	−	0.868773i	0.00275652	−	0.0508411i
$293$	14.0161	+	20.6722i	0.818831	+	1.20769i	0.975492	+	0.220033i	$0.0706166\pi$
$293$	14.0161	+	20.6722i	0.818831	+	1.20769i	−0.156661	+	0.987652i	$0.550073\pi$
$294$	−5.06815			−0.295580
$295$	24.6582	+	6.24159i	1.43566	+	0.363400i
$296$	−2.46599			−0.143333
$297$	−2.04229	−	3.01215i	−0.118506	−	0.174783i
$298$	0.921731	−	17.0003i	0.0533944	−	0.984802i
$299$	−3.56981	+	8.95954i	−0.206447	+	0.518144i
$300$	5.41447	−	2.50500i	0.312604	−	0.144626i
$301$	−4.94396	+	2.97468i	−0.284965	+	0.171458i
$302$	0.742679	−	2.67489i	0.0427364	−	0.153923i
$303$	8.80991	−	1.93921i	0.506116	−	0.111405i
$304$	6.66191	+	0.724527i	0.382087	+	0.0415545i
$305$	−21.0891	−	12.6889i	−1.20756	−	0.726563i
$306$	−5.10252	+	4.83337i	−0.291692	+	0.276305i
$307$	14.1832	+	6.56186i	0.809479	+	0.374505i	0.780563	−	0.625077i	$-0.214932\pi$
$307$	14.1832	+	6.56186i	0.809479	+	0.374505i	0.0289159	+	0.999582i	$0.490795\pi$
$308$	−5.02855	+	0.546888i	−0.286528	+	0.0311619i
$309$	1.96722	−	0.662835i	0.111911	−	0.0377074i
$310$	0.595911	+	1.49562i	0.0338455	+	0.0849458i
$311$	−21.6012	−	20.4617i	−1.22489	−	1.16028i	−0.981728	−	0.190291i	$-0.939057\pi$
$311$	−21.6012	−	20.4617i	−1.22489	−	1.16028i	−0.243162	−	0.969986i	$-0.578185\pi$
$312$	−0.459566	−	1.65521i	−0.0260178	−	0.0937077i
$313$	−1.50898	−	2.84625i	−0.0852929	−	0.160879i	0.837196	−	0.546903i	$-0.184193\pi$
$313$	−1.50898	−	2.84625i	−0.0852929	−	0.160879i	−0.922489	+	0.386023i	$0.873848\pi$
$314$	13.0483	−	9.91906i	0.736358	−	0.559765i
$315$	−0.249183	−	4.59590i	−0.0140399	−	0.258950i
$316$	−6.57013	−	2.21374i	−0.369599	−	0.124532i
$317$	−30.6330	−	6.74284i	−1.72052	−	0.378716i	−0.758498	−	0.651675i	$-0.774066\pi$
$317$	−30.6330	−	6.74284i	−1.72052	−	0.378716i	−0.962025	+	0.272960i	$0.911997\pi$
$318$	4.34090	−	8.18780i	0.243425	−	0.459149i
$319$	2.25772	+	13.7715i	0.126408	+	0.771055i
$320$	−2.14380	+	2.52388i	−0.119842	+	0.141089i
$321$	−10.6936	−	12.5895i	−0.596858	−	0.702675i
$322$	1.26247	−	7.70070i	0.0703545	−	0.429143i
$323$	−37.4945	−	28.5025i	−2.08625	−	1.58592i
$324$	−0.561187	+	0.827689i	−0.0311771	+	0.0459827i
$325$	5.75121	−	8.48240i	0.319020	−	0.470519i
$326$	−4.11224	−	3.12604i	−0.227756	−	0.173136i
$327$	1.42594	−	8.69786i	0.0788547	−	0.480992i
$328$	−6.49409	−	7.64543i	−0.358576	−	0.422148i
$329$	2.98161	−	3.51023i	0.164382	−	0.193525i
$330$	1.94967	+	11.8925i	0.107326	+	0.654658i
$331$	−8.10877	+	15.2948i	−0.445698	+	0.840676i	0.554267	+	0.832339i	$0.312999\pi$
$331$	−8.10877	+	15.2948i	−0.445698	+	0.840676i	−0.999965	+	0.00833711i	$0.997346\pi$
$332$	14.2973	+	3.14708i	0.784668	+	0.172718i
$333$	2.33691	+	0.787396i	0.128062	+	0.0431490i
$334$	−1.32631	−	24.4623i	−0.0725724	−	1.33852i
$335$	37.9819	−	28.8731i	2.07518	−	1.57751i
$336$	0.651046	+	1.22800i	0.0355175	+	0.0669931i
$337$	6.81348	+	24.5399i	0.371154	+	1.33677i	0.879613	+	0.475689i	$0.157801\pi$
$337$	6.81348	+	24.5399i	0.371154	+	1.33677i	−0.508460	+	0.861086i	$0.669785\pi$
$338$	7.29559	+	6.91075i	0.396828	+	0.375895i
$339$	6.08047	+	15.2608i	0.330246	+	0.828854i
$340$	22.0557	−	7.43144i	1.19614	−	0.403027i
$341$	−1.75895	+	0.191297i	−0.0952523	+	0.0103593i
$342$	−6.08184	−	2.81376i	−0.328868	−	0.152151i
$343$	12.1776	−	11.5352i	0.657528	−	0.622844i
$344$	−3.55703	−	2.14019i	−0.191782	−	0.115392i
$345$	−18.4829	−	2.01014i	−0.995086	−	0.108222i
$346$	−4.22097	+	0.929107i	−0.226921	+	0.0499491i
$347$	−2.00297	+	7.21404i	−0.107525	+	0.387270i	−0.997656	−	0.0684356i	$-0.978199\pi$
$347$	−2.00297	+	7.21404i	−0.107525	+	0.387270i	0.890131	+	0.455706i	$0.150613\pi$
$348$	3.28578	−	1.97699i	0.176137	−	0.105978i
$349$	1.25266	−	0.579541i	0.0670532	−	0.0310221i	−0.386076	−	0.922467i	$-0.626170\pi$
$349$	1.25266	−	0.579541i	0.0670532	−	0.0310221i	0.453129	+	0.891445i	$0.350308\pi$
$350$	−3.06919	+	7.70309i	−0.164055	+	0.411747i
$351$	−0.0930011	+	1.71530i	−0.00496403	+	0.0915561i
$352$	−2.04229	−	3.01215i	−0.108854	−	0.160548i
$353$	−13.7215			−0.730321			−0.365160	−	0.930945i	$-0.618986\pi$
$353$	−13.7215			−0.730321			−0.365160	+	0.930945i	$0.618986\pi$
$354$	7.60644	+	1.06870i	0.404278	+	0.0568009i
$355$	13.4909			0.716021
$356$	4.32567	+	6.37989i	0.229260	+	0.338134i
$357$	0.528868	−	9.75440i	0.0279907	−	0.516258i
$358$	3.49484	−	8.77140i	0.184708	−	0.463583i
$359$	4.05278	−	1.87501i	0.213897	−	0.0989595i	−0.310015	−	0.950732i	$-0.600334\pi$
$359$	4.05278	−	1.87501i	0.213897	−	0.0989595i	0.523912	+	0.851772i	$0.324472\pi$
$360$	2.83746	−	1.70724i	0.149547	−	0.0899796i
$361$	6.93059	−	24.9617i	0.364768	−	1.31378i
$362$	−7.09804	+	1.56240i	−0.373065	+	0.0821177i
$363$	−2.23084	−	0.242618i	−0.117089	−	0.0127342i
$364$	2.04585	+	1.23095i	0.107232	+	0.0645192i
$365$	2.09170	−	1.98136i	0.109484	−	0.103709i
$366$	−6.74545	−	3.12078i	−0.352590	−	0.163126i
$367$	6.84437	−	0.744370i	0.357273	−	0.0388558i	0.0722774	−	0.997385i	$-0.476973\pi$
$367$	6.84437	−	0.744370i	0.357273	−	0.0388558i	0.284996	+	0.958529i	$0.408008\pi$
$368$	5.32049	−	1.79268i	0.277350	−	0.0934500i
$369$	3.71295	+	9.31879i	0.193288	+	0.485117i
$370$	−5.92853	−	5.61581i	−0.308210	−	0.291952i
$371$	3.44597	+	12.4113i	0.178906	+	0.644361i
$372$	0.227730	+	0.429545i	0.0118073	+	0.0222709i
$373$	−12.4770	+	9.48474i	−0.646033	+	0.491101i	−0.876135	−	0.482065i	$-0.839887\pi$
$373$	−12.4770	+	9.48474i	−0.646033	+	0.491101i	0.230103	+	0.973166i	$0.426094\pi$
$374$	1.38475	+	25.5401i	0.0716035	+	1.32065i
$375$	3.03099	+	1.02126i	0.156520	+	0.0527376i
$376$	3.23613	+	0.712327i	0.166891	+	0.0367355i
$377$	3.08556	−	5.81998i	0.158914	−	0.299744i
$378$	−0.224863	−	1.37160i	−0.0115657	−	0.0705476i
$379$	−9.50974	+	11.1957i	−0.488483	+	0.575086i	−0.950081	−	0.312003i	$-0.899000\pi$
$379$	−9.50974	+	11.1957i	−0.488483	+	0.575086i	0.461599	+	0.887089i	$0.347276\pi$
$380$	14.3660	+	16.9130i	0.736962	+	0.867619i
$381$	0.107873	−	0.657998i	0.00552651	−	0.0337102i
$382$	−16.0668	−	12.2137i	−0.822049	−	0.624906i
$383$	−17.3635	+	25.6093i	−0.887235	+	1.30857i	0.0633122	+	0.997994i	$0.479834\pi$
$383$	−17.3635	+	25.6093i	−0.887235	+	1.30857i	−0.950547	+	0.310580i	$0.899477\pi$
$384$	−0.561187	+	0.827689i	−0.0286380	+	0.0422378i
$385$	−13.3347	−	10.1367i	−0.679597	−	0.516616i
$386$	−1.83314	+	11.1817i	−0.0933043	+	0.569131i
$387$	2.68746	+	3.16393i	0.136611	+	0.160831i
$388$	−7.31657	+	8.61373i	−0.371442	+	0.437296i
$389$	2.58677	+	15.7786i	0.131155	+	0.800008i	0.967699	+	0.252108i	$0.0811240\pi$
$389$	2.58677	+	15.7786i	0.131155	+	0.800008i	−0.836544	+	0.547899i	$0.815428\pi$
$390$	2.66455	−	5.02588i	0.134925	−	0.254495i
$391$	−38.5371	−	8.48266i	−1.94891	−	0.428987i
$392$	4.80285	+	1.61827i	0.242580	+	0.0817348i
$393$	0.614429	+	11.3325i	0.0309938	+	0.571647i
$394$	13.0345	−	9.90855i	0.656667	−	0.499185i
$395$	−10.7540	−	20.2842i	−0.541093	−	1.02061i
$396$	0.973597	+	3.50658i	0.0489251	+	0.176212i
$397$	−11.3342	−	10.7364i	−0.568849	−	0.538843i	0.348302	−	0.937382i	$-0.386758\pi$
$397$	−11.3342	−	10.7364i	−0.568849	−	0.538843i	−0.917151	+	0.398540i	$0.869517\pi$
$398$	−2.00333	−	5.02797i	−0.100418	−	0.252029i
$399$	8.82650	−	2.97400i	0.441878	−	0.148886i
$400$	−5.93089	+	0.645023i	−0.296544	+	0.0322511i
$401$	14.0216	+	6.48707i	0.700203	+	0.323949i	0.737492	−	0.675356i	$-0.236010\pi$
$401$	14.0216	+	6.48707i	0.700203	+	0.323949i	−0.0372885	+	0.999305i	$0.511872\pi$
$402$	10.4599	−	9.90811i	0.521691	−	0.494172i
$403$	0.715621	+	0.430575i	0.0356476	+	0.0214485i
$404$	−8.96793	−	0.975321i	−0.446171	−	0.0485240i
$405$	−3.23405	+	0.711869i	−0.160701	+	0.0353731i
$406$	−1.42589	+	5.13561i	−0.0707660	+	0.254876i
$407$	7.68971	−	4.62675i	0.381165	−	0.229339i
$408$	6.37872	−	2.95111i	0.315794	−	0.146102i
$409$	6.83760	−	17.1611i	0.338098	−	0.848561i	−0.657380	−	0.753560i	$-0.728335\pi$
$409$	6.83760	−	17.1611i	0.338098	−	0.848561i	0.995477	−	0.0950013i	$-0.0302855\pi$
$410$	1.79840	−	33.1695i	0.0888165	−	1.63812i
$411$	4.08723	+	6.02822i	0.201608	+	0.297350i
$412$	−2.07589			−0.102272
$413$	−8.69693	+	6.19215i	−0.427948	+	0.304696i
$414$	−5.61439			−0.275932
$415$	27.2056	+	40.1252i	1.33547	+	1.96967i
$416$	−0.0930011	+	1.71530i	−0.00455975	+	0.0840997i
$417$	−3.16836	+	7.95200i	−0.155155	+	0.389411i
$418$	−22.1332	+	10.2399i	−1.08257	+	0.500851i
$419$	16.2322	−	9.76661i	0.792996	−	0.477130i	−0.0605387	−	0.998166i	$-0.519282\pi$
$419$	16.2322	−	9.76661i	0.792996	−	0.477130i	0.853535	+	0.521036i	$0.174454\pi$
$420$	−1.23134	+	4.43489i	−0.0600833	+	0.216400i
$421$	21.9880	−	4.83991i	1.07163	−	0.235883i	0.356086	−	0.934453i	$-0.384111\pi$
$421$	21.9880	−	4.83991i	1.07163	−	0.235883i	0.715541	+	0.698570i	$0.246180\pi$
$422$	19.3156	+	2.10069i	0.940267	+	0.102260i
$423$	−2.83929	−	1.70834i	−0.138051	−	0.0830624i
$424$	−6.72804	+	6.37314i	−0.326743	+	0.309507i
$425$	38.0545	+	17.6059i	1.84592	+	0.854012i
$426$	4.05010	−	0.440475i	0.196228	−	0.0213411i
$427$	9.78959	−	3.29850i	0.473751	−	0.159625i
$428$	6.11398	+	15.3449i	0.295530	+	0.741725i
$429$	4.53860	+	4.29919i	0.219126	+	0.207567i
$430$	−3.67765	−	13.2457i	−0.177352	−	0.638764i
$431$	−18.3960	−	34.6986i	−0.886106	−	1.67137i	−0.729796	−	0.683665i	$-0.760385\pi$
$431$	−18.3960	−	34.6986i	−0.886106	−	1.67137i	−0.156310	−	0.987708i	$-0.549960\pi$
$432$	0.796093	−	0.605174i	0.0383020	−	0.0291165i
$433$	−0.739141	−	13.6326i	−0.0355208	−	0.655143i	−0.961034	−	0.276429i	$-0.910849\pi$
$433$	−0.739141	−	13.6326i	−0.0355208	−	0.655143i	0.925514	−	0.378715i	$-0.123634\pi$
$434$	−0.640373	−	0.215767i	−0.0307389	−	0.0103571i
$435$	12.4016	+	2.72980i	0.594611	+	0.130884i
$436$	−4.12854	+	7.78724i	−0.197721	+	0.372941i
$437$	−6.08674	−	37.1275i	−0.291168	−	1.77605i
$438$	0.563258	−	0.663118i	0.0269135	−	0.0316850i
$439$	1.83442	+	2.15965i	0.0875521	+	0.103074i	0.804194	−	0.594367i	$-0.202597\pi$
$439$	1.83442	+	2.15965i	0.0875521	+	0.103074i	−0.716642	+	0.697442i	$0.754322\pi$
$440$	1.94967	−	11.8925i	0.0929468	−	0.566951i
$441$	−4.03472	−	3.06711i	−0.192129	−	0.146053i
$442$	6.77543	−	9.99302i	0.322274	−	0.475319i
$443$	−18.2691	+	26.9449i	−0.867992	+	1.28019i	0.0907388	+	0.995875i	$0.471077\pi$
$443$	−18.2691	+	26.9449i	−0.867992	+	1.28019i	−0.958730	+	0.284317i	$0.908233\pi$
$444$	−1.96316	−	1.49236i	−0.0931675	−	0.0708241i
$445$	−4.12950	+	25.1888i	−0.195757	+	1.19407i
$446$	2.13900	+	2.51823i	0.101285	+	0.119242i
$447$	11.0219	−	12.9760i	0.521320	−	0.613745i
$448$	−0.224863	−	1.37160i	−0.0106238	−	0.0648021i
$449$	−1.56295	+	2.94803i	−0.0737600	+	0.139126i	−0.917649	−	0.397391i	$-0.869916\pi$
$449$	−1.56295	+	2.94803i	−0.0737600	+	0.139126i	0.843889	+	0.536517i	$0.180260\pi$
$450$	5.82638	+	1.28248i	0.274658	+	0.0604568i
$451$	34.5950	+	11.6564i	1.62902	+	0.548879i
$452$	−0.889371	−	16.4035i	−0.0418325	−	0.771555i
$453$	2.21002	−	1.68001i	0.103836	−	0.0789338i
$454$	−0.608391	−	1.14755i	−0.0285532	−	0.0538570i
$455$	2.11523	+	7.61835i	0.0991633	+	0.357154i
$456$	4.86504	+	4.60841i	0.227826	+	0.215808i
$457$	12.1357	+	30.4583i	0.567684	+	1.42478i	0.880079	+	0.474827i	$0.157489\pi$
$457$	12.1357	+	30.4583i	0.567684	+	1.42478i	−0.312395	+	0.949952i	$0.601131\pi$
$458$	−19.8353	+	6.68329i	−0.926843	+	0.312290i
$459$	−6.98711	+	0.759894i	−0.326130	+	0.0354688i
$460$	16.8735	+	7.80653i	0.786733	+	0.363982i
$461$	0.110114	−	0.104305i	0.00512850	−	0.00485798i	−0.685131	−	0.728420i	$-0.740255\pi$
$461$	0.110114	−	0.104305i	0.00512850	−	0.00485798i	0.690259	+	0.723562i	$0.257496\pi$
$462$	−4.33416	−	2.60778i	−0.201643	−	0.121325i
$463$	−40.5353	−	4.40848i	−1.88384	−	0.204879i	−0.907337	−	0.420404i	$-0.861888\pi$
$463$	−40.5353	−	4.40848i	−1.88384	−	0.204879i	−0.976498	+	0.215525i	$0.930854\pi$
$464$	−3.74504	+	0.824346i	−0.173859	+	0.0382693i
$465$	−0.430713	+	1.55129i	−0.0199738	+	0.0719392i
$466$	−13.6941	+	8.23948i	−0.634368	+	0.381687i
$467$	4.65111	−	2.15183i	0.215228	−	0.0995749i	−0.309313	−	0.950960i	$-0.600099\pi$
$467$	4.65111	−	2.15183i	0.215228	−	0.0995749i	0.524541	+	0.851385i	$0.324237\pi$
$468$	0.635832	−	1.59582i	0.0293913	−	0.0737667i
$469$	−1.08415	+	19.9959i	−0.0500613	+	0.923326i
$470$	6.15786	+	9.08216i	0.284041	+	0.418929i
$471$	16.3904			0.755231
$472$	−6.86703	−	3.44151i	−0.316080	−	0.158408i
$473$	15.1074			0.694637
$474$	−3.89074	−	5.73841i	−0.178708	−	0.263574i
$475$	−2.16439	+	39.9197i	−0.0993088	+	1.83164i
$476$	−3.61578	+	9.07492i	−0.165729	+	0.415948i
$477$	8.41080	−	3.89125i	0.385104	−	0.178168i
$478$	−2.19053	+	1.31800i	−0.100193	+	0.0602839i
$479$	−2.01222	+	7.24737i	−0.0919408	+	0.331141i	−0.995189	−	0.0979787i	$-0.968762\pi$
$479$	−2.01222	+	7.24737i	−0.0919408	+	0.331141i	0.903248	+	0.429119i	$0.141176\pi$
$480$	−3.23405	+	0.711869i	−0.147614	+	0.0324922i
$481$	−4.21131	−	0.458008i	−0.192019	−	0.0208833i
$482$	−10.6049	−	6.38075i	−0.483039	−	0.290635i
$483$	5.66531	−	5.36646i	0.257780	−	0.244182i
$484$	2.03659	+	0.942229i	0.0925724	+	0.0428286i
$485$	−37.2059	+	4.04639i	−1.68943	+	0.183737i
$486$	−0.947653	+	0.319302i	−0.0429864	+	0.0144838i
$487$	1.78508	+	4.48022i	0.0808898	+	0.203018i	0.963859	−	0.266413i	$-0.0858384\pi$
$487$	1.78508	+	4.48022i	0.0808898	+	0.203018i	−0.882969	+	0.469431i	$0.844459\pi$
$488$	5.39588	+	5.11125i	0.244260	+	0.231375i
$489$	−1.38192	−	4.97724i	−0.0624928	−	0.225079i
$490$	7.86132	+	14.8280i	0.355138	+	0.669861i
$491$	−6.29849	+	4.78798i	−0.284247	+	0.216079i	−0.737576	−	0.675265i	$-0.764029\pi$
$491$	−6.29849	+	4.78798i	−0.284247	+	0.216079i	0.453329	+	0.891343i	$0.350236\pi$
$492$	−0.543081	−	10.0165i	−0.0244840	−	0.451580i
$493$	25.5406	+	8.60563i	1.15029	+	0.387578i
$494$	11.2423	+	2.47463i	0.505817	+	0.111339i
$495$	−5.64489	+	10.6474i	−0.253719	+	0.478565i
$496$	−0.0786550	−	0.479775i	−0.00353172	−	0.0215425i
$497$	−3.66581	+	4.31572i	−0.164434	+	0.193586i
$498$	9.47747	+	11.1577i	0.424696	+	0.499990i
$499$	3.85195	−	23.4958i	0.172437	−	1.05182i	−0.748794	−	0.662803i	$-0.769367\pi$
$499$	3.85195	−	23.4958i	0.172437	−	1.05182i	0.921231	−	0.389016i	$-0.127185\pi$
$500$	−2.54624	−	1.93560i	−0.113871	−	0.0865626i
$501$	13.7481	−	20.2769i	0.614220	−	0.905907i
$502$	8.45377	−	12.4684i	0.377310	−	0.556491i
$503$	−34.1027	−	25.9242i	−1.52056	−	1.15590i	−0.939748	−	0.341869i	$-0.888940\pi$
$503$	−34.1027	−	25.9242i	−1.52056	−	1.15590i	−0.580817	−	0.814034i	$-0.697267\pi$
$504$	−0.224863	+	1.37160i	−0.0100162	+	0.0610960i
$505$	−19.3388	−	22.7674i	−0.860567	−	1.01314i
$506$	−13.2274	+	15.5725i	−0.588031	+	0.692283i
$507$	1.62576	+	9.91670i	0.0722026	+	0.440416i
$508$	−0.312326	+	0.589109i	−0.0138572	+	0.0261375i
$509$	20.8175	+	4.58227i	0.922717	+	0.203105i	0.650830	−	0.759224i	$-0.274421\pi$
$509$	20.8175	+	4.58227i	0.922717	+	0.203105i	0.271888	+	0.962329i	$0.412352\pi$
$510$	22.0557	+	7.43144i	0.976645	+	0.329070i
$511$	0.0654697	+	1.20752i	0.00289621	+	0.0534174i
$512$	0.796093	−	0.605174i	0.0351827	−	0.0267452i
$513$	−3.13890	−	5.92059i	−0.138586	−	0.261400i
$514$	−4.52498	−	16.2975i	−0.199588	−	0.718851i
$515$	−4.99068	−	4.72742i	−0.219916	−	0.208315i
$516$	−1.53654	−	3.85642i	−0.0676423	−	0.169769i
$517$	−11.4277	+	3.85045i	−0.502591	+	0.169343i
$518$	3.40742	−	0.370579i	0.149713	−	0.0162823i
$519$	−3.92256	−	1.81477i	−0.172181	−	0.0796595i
$520$	−4.12984	+	3.91200i	−0.181106	+	0.171552i
$521$	30.8303	+	18.5500i	1.35070	+	0.812688i	0.992651	−	0.121015i	$-0.0386150\pi$
$521$	30.8303	+	18.5500i	1.35070	+	0.812688i	0.358047	+	0.933703i	$0.383443\pi$
$522$	3.81221	+	0.414603i	0.166856	+	0.0181467i
$523$	1.55486	−	0.342250i	0.0679892	−	0.0149656i	−0.180846	−	0.983512i	$-0.557883\pi$
$523$	1.55486	−	0.342250i	0.0679892	−	0.0149656i	0.248835	+	0.968546i	$0.419952\pi$
$524$	3.03621	−	10.9354i	0.132637	−	0.477717i
$525$	−7.10507	+	4.27498i	−0.310091	+	0.186575i
$526$	9.27042	−	4.28895i	0.404210	−	0.187007i
$527$	−1.26477	+	3.17433i	−0.0550942	+	0.138276i
$528$	0.197024	−	3.63389i	0.00857437	−	0.158145i
$529$	−4.78207	−	7.05302i	−0.207916	−	0.306653i
$530$	−30.6885			−1.33302
$531$	5.40868	+	5.45401i	0.234717	+	0.236684i
$532$	−9.31407			−0.403816
$533$	−9.67032	−	14.2627i	−0.418868	−	0.617784i
$534$	−0.417307	+	7.69677i	−0.0180586	+	0.333072i
$535$	−20.2463	+	50.8143i	−0.875323	+	2.19689i
$536$	−13.0760	+	6.04960i	−0.564797	+	0.261303i
$537$	8.09044	−	4.86786i	0.349128	−	0.210064i
$538$	−5.18241	+	18.6653i	−0.223429	+	0.804720i
$539$	−18.0129	+	3.96495i	−0.775872	+	0.170782i
$540$	3.29206	+	0.358033i	0.141668	+	0.0154073i
$541$	1.56758	+	0.943179i	0.0673954	+	0.0405504i	0.548853	−	0.835919i	$-0.315065\pi$
$541$	1.56758	+	0.943179i	0.0673954	+	0.0405504i	−0.481457	+	0.876470i	$0.659892\pi$
$542$	−11.6244	+	11.0113i	−0.499312	+	0.472974i
$543$	−6.59622	−	3.05174i	−0.283071	−	0.130963i
$544$	−6.98711	+	0.759894i	−0.299570	+	0.0325802i
$545$	−27.6594	+	9.31952i	−1.18480	+	0.399204i
$546$	0.883750	+	2.21804i	0.0378210	+	0.0949236i
$547$	16.5609	+	15.6873i	0.708093	+	0.670742i	0.954427	−	0.298443i	$-0.0964674\pi$
$547$	16.5609	+	15.6873i	0.708093	+	0.670742i	−0.246334	+	0.969185i	$0.579226\pi$
$548$	−1.94846	−	7.01772i	−0.0832341	−	0.299782i
$549$	−3.48139	−	6.56660i	−0.148582	−	0.280256i
$550$	17.2841	−	13.1390i	0.736996	−	0.560250i
$551$	1.39121	+	25.6593i	0.0592675	+	1.09312i
$552$	5.32049	+	1.79268i	0.226455	+	0.0763016i
$553$	9.41104	+	2.07153i	0.400198	+	0.0880903i
$554$	11.6506	−	21.9754i	0.494987	−	0.933645i
$555$	−1.32112	−	8.05850i	−0.0560786	−	0.342064i
$556$	5.54160	−	6.52407i	0.235016	−	0.276682i
$557$	−16.4601	−	19.3783i	−0.697437	−	0.821086i	0.293423	−	0.955983i	$-0.405206\pi$
$557$	−16.4601	−	19.3783i	−0.697437	−	0.821086i	−0.990860	+	0.134897i	$0.956930\pi$
$558$	−0.0786550	+	0.479775i	−0.00332973	+	0.0203105i
$559$	−5.67703	−	4.31557i	−0.240113	−	0.182529i
$560$	2.58295	−	3.80957i	0.109150	−	0.160984i
$561$	−14.3538	+	21.1703i	−0.606020	+	0.893812i
$562$	−20.6585	−	15.7042i	−0.871428	−	0.662442i
$563$	1.37609	−	8.39377i	0.0579952	−	0.353755i	−0.941848	−	0.336040i	$-0.890912\pi$
$563$	1.37609	−	8.39377i	0.0579952	−	0.353755i	0.999843	−	0.0177157i	$-0.00563936\pi$
$564$	2.14518	+	2.52550i	0.0903285	+	0.106343i
$565$	35.2175	−	41.4612i	1.48161	−	1.74429i
$566$	4.27537	+	26.0786i	0.179707	+	1.09616i
$567$	0.651046	−	1.22800i	0.0273414	−	0.0515713i
$568$	−3.97873	−	0.875785i	−0.166944	−	0.0367471i
$569$	−44.8737	−	15.1197i	−1.88120	−	0.633851i	−0.979483	−	0.201528i	$-0.935409\pi$
$569$	−44.8737	−	15.1197i	−1.88120	−	0.633851i	−0.901719	−	0.432323i	$-0.857694\pi$
$570$	1.20139	+	22.1583i	0.0503206	+	0.928109i
$571$	4.37771	−	3.32785i	0.183201	−	0.139266i	−0.509554	−	0.860439i	$-0.670190\pi$
$571$	4.37771	−	3.32785i	0.183201	−	0.139266i	0.692755	+	0.721173i	$0.256397\pi$
$572$	−2.92828	−	5.52332i	−0.122438	−	0.230942i
$573$	−5.39927	−	19.4464i	−0.225558	−	0.812386i
$574$	10.1222	+	9.58828i	0.422493	+	0.400207i
$575$	12.3976	+	31.1157i	0.517017	+	1.29762i
$576$	−0.947653	+	0.319302i	−0.0394855	+	0.0133042i
$577$	12.6935	−	1.38050i	0.528436	−	0.0574709i	0.159987	−	0.987119i	$-0.448855\pi$
$577$	12.6935	−	1.38050i	0.528436	−	0.0574709i	0.368448	+	0.929648i	$0.379889\pi$
$578$	29.4029	+	13.6032i	1.22300	+	0.565819i
$579$	−8.22620	+	7.79227i	−0.341869	+	0.323836i
$580$	−10.8808	−	6.54675i	−0.451800	−	0.271839i
$581$	−20.2285	−	2.19998i	−0.839218	−	0.0912704i
$582$	−11.0375	+	2.42953i	−0.457518	+	0.100707i
$583$	9.02265	−	32.4966i	0.373680	−	1.34587i
$584$	−0.745508	+	0.448557i	−0.0308493	+	0.0185614i
$585$	5.16277	−	2.38855i	0.213454	−	0.0987544i
$586$	9.24452	−	23.2020i	0.381888	−	0.958466i
$587$	0.339765	−	6.26661i	0.0140236	−	0.258650i	−0.983111	−	0.183008i	$-0.941417\pi$
$587$	0.339765	−	6.26661i	0.0140236	−	0.258650i	0.997135	−	0.0756423i	$-0.0241007\pi$
$588$	2.84418	+	4.19485i	0.117292	+	0.172993i
$589$	−3.25798			−0.134243
$590$	−8.67178	−	23.9120i	−0.357012	−	0.984443i
$591$	16.3730			0.673497
$592$	1.38388	+	2.04108i	0.0568773	+	0.0838877i
$593$	−2.53785	+	46.8080i	−0.104217	+	1.92217i	0.218782	+	0.975774i	$0.429792\pi$
$593$	−2.53785	+	46.8080i	−0.104217	+	1.92217i	−0.322999	+	0.946399i	$0.604691\pi$
$594$	−1.34702	+	3.38076i	−0.0552688	+	0.138714i
$595$	−29.3590	+	13.5829i	−1.20360	+	0.556846i
$596$	−14.5882	+	8.77745i	−0.597558	+	0.359539i
$597$	1.44796	−	5.21509i	0.0592612	−	0.213440i
$598$	9.41904	−	2.07329i	0.385173	−	0.0847830i
$599$	29.0207	+	3.15620i	1.18576	+	0.128959i	0.679666	−	0.733522i	$-0.262125\pi$
$599$	29.0207	+	3.15620i	1.18576	+	0.128959i	0.506090	+	0.862481i	$0.331090\pi$
$600$	−5.11189	−	3.07572i	−0.208692	−	0.125566i
$601$	11.6782	−	11.0622i	0.476365	−	0.451236i	−0.411454	−	0.911431i	$-0.634979\pi$
$601$	11.6782	−	11.0622i	0.476365	−	0.451236i	0.887818	+	0.460194i	$0.152220\pi$
$602$	5.23659	+	2.42271i	0.213428	+	0.0987422i
$603$	14.3232	−	1.55774i	0.583284	−	0.0634360i
$604$	−2.63076	+	0.886406i	−0.107044	+	0.0360673i
$605$	2.75047	+	6.90316i	0.111822	+	0.280653i
$606$	−6.54907	−	6.20361i	−0.266038	−	0.252004i
$607$	2.96555	+	10.6810i	0.120368	+	0.433526i	0.999036	−	0.0439076i	$-0.0139807\pi$
$607$	2.96555	+	10.6810i	0.120368	+	0.433526i	−0.878668	+	0.477434i	$0.841567\pi$
$608$	−3.13890	−	5.92059i	−0.127299	−	0.240112i
$609$	−4.24308	+	3.22551i	−0.171938	+	0.130704i
$610$	1.33247	+	24.5760i	0.0539503	+	0.995055i
$611$	5.39422	+	1.81752i	0.218227	+	0.0735292i
$612$	6.86399	+	1.51088i	0.277460	+	0.0610737i
$613$	−17.3511	+	32.7276i	−0.700804	+	1.32186i	0.235914	+	0.971774i	$0.424192\pi$
$613$	−17.3511	+	32.7276i	−0.700804	+	1.32186i	−0.936719	+	0.350083i	$0.886153\pi$
$614$	−2.52826	−	15.4217i	−0.102032	−	0.622370i
$615$	21.5050	−	25.3177i	0.867166	−	1.02091i
$616$	3.27461	+	3.85517i	0.131938	+	0.155329i
$617$	−0.0303927	+	0.185387i	−0.00122357	+	0.00746342i	−0.987431	−	0.158049i	$-0.949480\pi$
$617$	−0.0303927	+	0.185387i	−0.00122357	+	0.00746342i	0.986208	+	0.165513i	$0.0529278\pi$
$618$	−1.65260	−	1.25628i	−0.0664774	−	0.0505348i
$619$	−2.42459	+	3.57600i	−0.0974523	+	0.143731i	−0.873289	−	0.487202i	$-0.838018\pi$
$619$	−2.42459	+	3.57600i	−0.0974523	+	0.143731i	0.775837	+	0.630933i	$0.217328\pi$
$620$	0.903494	−	1.33255i	0.0362852	−	0.0535167i
$621$	−4.46957	−	3.39768i	−0.179358	−	0.136344i
$622$	−4.81364	+	29.3619i	−0.193009	+	1.17730i
$623$	−6.93580	−	8.16546i	−0.277877	−	0.327142i
$624$	−1.11210	+	1.30926i	−0.0445194	+	0.0524123i
$625$	3.11233	+	18.9844i	0.124493	+	0.759376i
$626$	−1.50898	+	2.84625i	−0.0603112	+	0.113759i
$627$	−23.8170	−	5.24252i	−0.951161	−	0.209366i
$628$	−15.5324	−	5.23349i	−0.619812	−	0.208839i
$629$	−0.938323	−	17.3064i	−0.0374134	−	0.690050i
$630$	−3.66414	+	2.78541i	−0.145983	+	0.110973i
$631$	14.3786	+	27.1209i	0.572403	+	1.07967i	0.985611	+	0.169030i	$0.0540634\pi$
$631$	14.3786	+	27.1209i	0.572403	+	1.07967i	−0.413208	+	0.910637i	$0.635592\pi$
$632$	1.85479	+	6.68035i	0.0737795	+	0.265730i
$633$	14.1057	+	13.3616i	0.560651	+	0.531077i
$634$	11.6099	+	29.1386i	0.461088	+	1.15724i
$635$	−2.09245	+	0.705027i	−0.0830362	+	0.0279781i
$636$	−9.21301	+	1.00197i	−0.365319	+	0.0397309i
$637$	7.90152	+	3.65563i	0.313069	+	0.144841i
$638$	10.1315	−	9.59707i	0.401110	−	0.379952i
$639$	3.49082	+	2.10036i	0.138095	+	0.0830888i
$640$	3.29206	+	0.358033i	0.130130	+	0.0141525i
$641$	−11.6719	+	2.56918i	−0.461012	+	0.101476i	−0.439403	−	0.898290i	$-0.644810\pi$
$641$	−11.6719	+	2.56918i	−0.461012	+	0.101476i	−0.0216092	+	0.999766i	$0.506879\pi$
$642$	−4.41906	+	15.9160i	−0.174406	+	0.628155i
$643$	−14.3837	+	8.65437i	−0.567236	+	0.341295i	−0.770111	−	0.637910i	$-0.779799\pi$
$643$	−14.3837	+	8.65437i	−0.567236	+	0.341295i	0.202875	+	0.979205i	$0.434972\pi$
$644$	−7.08226	+	3.27660i	−0.279080	+	0.129116i
$645$	5.08820	−	12.7704i	0.200348	−	0.502835i
$646$	−2.54984	+	47.0290i	−0.100322	+	1.85033i
$647$	11.3856	+	16.7925i	0.447613	+	0.660180i	0.982825	−	0.184538i	$-0.0590788\pi$
$647$	11.3856	+	16.7925i	0.447613	+	0.660180i	−0.535212	+	0.844717i	$0.679768\pi$
$648$	1.00000			0.0392837
$649$	27.8705	−	2.15239i	1.09401	−	0.0844888i
$650$	−10.2483			−0.401971
$651$	−0.379220	−	0.559307i	−0.0148628	−	0.0219210i
$652$	−0.279656	+	5.15795i	−0.0109522	+	0.202001i
$653$	9.17042	−	23.0160i	0.358866	−	0.900686i	−0.633087	−	0.774081i	$-0.718212\pi$
$653$	9.17042	−	23.0160i	0.358866	−	0.900686i	0.991953	−	0.126606i	$-0.0404082\pi$
$654$	−7.99934	+	3.70089i	−0.312799	+	0.144716i
$655$	32.2027	−	19.3757i	1.25826	−	0.757071i
$656$	−2.68364	+	9.66560i	−0.104779	+	0.377378i
$657$	0.849708	−	0.187035i	0.0331503	−	0.00729692i
$658$	−4.57862	−	0.497955i	−0.178493	−	0.0194123i
$659$	12.2673	+	7.38100i	0.477867	+	0.287523i	0.734038	−	0.679109i	$-0.237633\pi$
$659$	12.2673	+	7.38100i	0.477867	+	0.287523i	−0.256171	+	0.966631i	$0.582461\pi$
$660$	8.74913	−	8.28761i	0.340559	−	0.322595i
$661$	34.2719	+	15.8559i	1.33302	+	0.616723i	0.951504	−	0.307638i	$-0.0995385\pi$
$661$	34.2719	+	15.8559i	1.33302	+	0.616723i	0.381520	+	0.924360i	$0.375401\pi$
$662$	17.2098	−	1.87168i	0.668879	−	0.0727450i
$663$	11.4414	−	3.85505i	0.444347	−	0.149718i
$664$	−5.41867	−	13.5998i	−0.210285	−	0.527776i
$665$	−22.3921	−	21.2109i	−0.868328	−	0.822524i
$666$	−0.659723	−	2.37611i	−0.0255638	−	0.0920724i
$667$	10.0846	+	19.0215i	0.390476	+	0.736517i
$668$	−19.5029	+	14.8257i	−0.754589	+	0.573624i
$669$	0.178878	+	3.29922i	0.00691584	+	0.127555i
$670$	−45.2129	−	15.2340i	−1.74673	−	0.588541i
$671$	−26.4158	−	5.81455i	−1.01977	−	0.224468i
$672$	0.651046	−	1.22800i	0.0251146	−	0.0473713i
$673$	−5.13531	−	31.3240i	−0.197952	−	1.20745i	−0.879579	−	0.475752i	$-0.842176\pi$
$673$	−5.13531	−	31.3240i	−0.197952	−	1.20745i	0.681628	−	0.731699i	$-0.261272\pi$
$674$	16.4878	−	19.4109i	0.635086	−	0.747681i
$675$	3.86221	+	4.54695i	0.148657	+	0.175012i
$676$	1.62576	−	9.91670i	0.0625293	−	0.381412i
$677$	30.4146	+	23.1206i	1.16893	+	0.888597i	0.995360	−	0.0962247i	$-0.0306767\pi$
$677$	30.4146	+	23.1206i	1.16893	+	0.888597i	0.173570	+	0.984822i	$0.444470\pi$
$678$	9.21894	−	13.5969i	0.354051	−	0.522186i
$679$	8.81533	−	13.0016i	0.338301	−	0.498957i
$680$	−18.5283	−	14.0849i	−0.710529	−	0.540130i
$681$	0.210130	−	1.28174i	0.00805220	−	0.0491162i
$682$	1.14543	+	1.34851i	0.0438609	+	0.0516370i
$683$	18.5525	−	21.8416i	0.709890	−	0.835747i	−0.282450	−	0.959282i	$-0.591147\pi$
$683$	18.5525	−	21.8416i	0.709890	−	0.835747i	0.992340	+	0.123535i	$0.0394231\pi$
$684$	1.08413	+	6.61292i	0.0414529	+	0.252851i
$685$	11.2971	−	21.3086i	0.431641	−	0.814161i
$686$	−16.3815	−	3.60584i	−0.625448	−	0.137672i
$687$	−19.8353	−	6.68329i	−0.756764	−	0.254983i
$688$	0.224744	+	4.14516i	0.00856830	+	0.158033i
$689$	−12.6735	+	9.63415i	−0.482822	+	0.367032i
$690$	8.70860	+	16.4262i	0.331531	+	0.625333i
$691$	−8.79392	−	31.6728i	−0.334537	−	1.20489i	−0.919257	−	0.393657i	$-0.871210\pi$
$691$	−8.79392	−	31.6728i	−0.334537	−	1.20489i	0.584721	−	0.811235i	$-0.301204\pi$
$692$	3.13777	+	2.97225i	0.119280	+	0.112988i
$693$	−1.87224	−	4.69896i	−0.0711203	−	0.178499i
$694$	7.09502	−	2.39059i	0.269323	−	0.0907456i
$695$	28.1799	−	3.06475i	1.06892	−	0.116253i
$696$	−3.48027	−	1.61015i	−0.131919	−	0.0610324i
$697$	51.1846	−	48.4847i	1.93876	−	1.83649i
$698$	−1.18265	−	0.711580i	−0.0447642	−	0.0269337i
$699$	−15.8881	−	1.72794i	−0.600944	−	0.0653566i
$700$	8.09815	−	1.78254i	0.306081	−	0.0673736i
$701$	6.40319	−	23.0622i	0.241845	−	0.871048i	−0.738582	−	0.674164i	$-0.764504\pi$
$701$	6.40319	−	23.0622i	0.241845	−	0.871048i	0.980427	−	0.196884i	$-0.0630822\pi$
$702$	1.47193	−	0.885630i	0.0555544	−	0.0334260i
$703$	14.9978	−	6.93871i	0.565652	−	0.261699i
$704$	−1.34702	+	3.38076i	−0.0507676	+	0.127417i
$705$	−0.594062	+	10.9568i	−0.0223737	+	0.412658i
$706$	7.70032	+	11.3571i	0.289805	+	0.427431i
$707$	12.5381			0.471545
$708$	−3.38408	−	6.89551i	−0.127182	−	0.259149i
$709$	−14.4624			−0.543147			−0.271573	−	0.962418i	$-0.587544\pi$
$709$	−14.4624			−0.543147			−0.271573	+	0.962418i	$0.587544\pi$
$710$	−7.57091	−	11.1663i	−0.284131	−	0.419062i
$711$	0.375348	−	6.92289i	0.0140767	−	0.259629i
$712$	2.85305	−	7.16062i	0.106923	−	0.268356i
$713$	−2.47732	+	1.14613i	−0.0927762	+	0.0429229i
$714$	−8.37040	+	5.03630i	−0.313254	+	0.188479i
$715$	5.53833	−	19.9473i	0.207122	−	0.745986i
$716$	−9.22125	+	2.02975i	−0.344614	+	0.0758553i
$717$	−2.54149	−	0.276403i	−0.0949136	−	0.0103225i
$718$	−3.82630	−	2.30221i	−0.142796	−	0.0859176i
$719$	−1.04087	+	0.985961i	−0.0388178	+	0.0367701i	−0.706863	−	0.707351i	$-0.749890\pi$
$719$	−1.04087	+	0.985961i	−0.0388178	+	0.0367701i	0.668045	+	0.744121i	$0.267131\pi$
$720$	−3.00541	−	1.39045i	−0.112005	−	0.0518191i
$721$	2.86839	−	0.311956i	0.106824	−	0.0116179i
$722$	−24.5499	+	8.27183i	−0.913653	+	0.307846i
$723$	−4.58101	−	11.4975i	−0.170370	−	0.427596i
$724$	5.27651	+	4.99817i	0.196100	+	0.185756i
$725$	−6.12031	−	22.0434i	−0.227303	−	0.818670i
$726$	1.05111	+	1.98260i	0.0390102	+	0.0735810i
$727$	18.2584	−	13.8797i	0.677167	−	0.514769i	−0.209129	−	0.977888i	$-0.567063\pi$
$727$	18.2584	−	13.8797i	0.677167	−	0.514769i	0.886296	+	0.463119i	$0.153270\pi$
$728$	−0.129263	−	2.38412i	−0.00479081	−	0.0883614i
$729$	−0.947653	−	0.319302i	−0.0350983	−	0.0118260i
$730$	−2.81379	−	0.619361i	−0.104143	−	0.0229236i
$731$	13.6664	−	25.7776i	0.505471	−	0.953419i
$732$	1.20243	+	7.33447i	0.0444429	+	0.271090i
$733$	−22.5103	+	26.5012i	−0.831438	+	0.978844i	−0.999977	−	0.00685085i	$-0.997819\pi$
$733$	−22.5103	+	26.5012i	−0.831438	+	0.978844i	0.168539	+	0.985695i	$0.446095\pi$
$734$	−4.45708	−	5.24728i	−0.164514	−	0.193681i
$735$	−2.71519	+	16.5619i	−0.100151	+	0.610897i
$736$	−4.46957	−	3.39768i	−0.164751	−	0.125240i
$737$	29.4245	−	43.3979i	1.08387	−	1.59858i
$738$	5.62940	−	8.30275i	0.207221	−	0.305628i
$739$	−21.1336	−	16.0654i	−0.777414	−	0.590974i	0.139425	−	0.990233i	$-0.455475\pi$
$739$	−21.1336	−	16.0654i	−0.777414	−	0.590974i	−0.916839	+	0.399258i	$0.869268\pi$
$740$	−1.32112	+	8.05850i	−0.0485655	+	0.296236i
$741$	7.45237	+	8.77360i	0.273770	+	0.322306i
$742$	8.33883	−	9.81723i	0.306128	−	0.360402i
$743$	8.21676	+	50.1200i	0.301444	+	1.83872i	0.509329	+	0.860572i	$0.329894\pi$
$743$	8.21676	+	50.1200i	0.301444	+	1.83872i	−0.207886	+	0.978153i	$0.566658\pi$
$744$	0.227730	−	0.429545i	0.00834900	−	0.0157479i
$745$	−55.0607	−	12.1198i	−2.01727	−	0.444034i
$746$	14.8523	+	5.00433i	0.543782	+	0.183222i
$747$	0.792572	+	14.6181i	0.0289987	+	0.534849i
$748$	20.3622	−	15.4789i	0.744515	−	0.565966i
$749$	−10.7540	−	20.2843i	−0.392944	−	0.741171i
$750$	−0.855666	−	3.08183i	−0.0312445	−	0.112533i
$751$	−10.6475	−	10.0858i	−0.388532	−	0.368037i	0.468356	−	0.883540i	$-0.344846\pi$
$751$	−10.6475	−	10.0858i	−0.388532	−	0.368037i	−0.856888	+	0.515503i	$0.827605\pi$
$752$	−1.22649	−	3.07826i	−0.0447256	−	0.112253i
$753$	14.2755	−	4.80998i	0.520229	−	0.175286i
$754$	−6.54871	+	0.712215i	−0.238490	+	0.0259373i
$755$	−8.34326	−	3.86000i	−0.303642	−	0.140480i
$756$	−1.00907	+	0.955841i	−0.0366995	+	0.0347636i
$757$	−30.8389	−	18.5552i	−1.12086	−	0.674400i	−0.170440	−	0.985368i	$-0.554519\pi$
$757$	−30.8389	−	18.5552i	−1.12086	−	0.674400i	−0.950420	+	0.310968i	$0.899347\pi$
$758$	14.6033	+	1.58821i	0.530417	+	0.0576863i
$759$	−19.9544	+	4.39229i	−0.724297	+	0.159430i
$760$	5.93668	−	21.3820i	0.215346	−	0.775606i
$761$	−30.3490	+	18.2604i	−1.10015	+	0.661938i	−0.945366	−	0.326011i	$-0.894295\pi$
$761$	−30.3490	+	18.2604i	−1.10015	+	0.661938i	−0.154783	+	0.987949i	$0.549468\pi$
$762$	−0.605154	+	0.279974i	−0.0219224	+	0.0101424i
$763$	4.53443	−	11.3805i	0.164157	−	0.412004i
$764$	−1.09264	+	20.1525i	−0.0395302	+	0.729091i
$765$	13.0611	+	19.2637i	0.472225	+	0.696480i
$766$	30.9407			1.11793
$767$	−11.0880	−	7.15265i	−0.400364	−	0.258267i
$768$	1.00000			0.0360844
$769$	−6.95182	−	10.2532i	−0.250689	−	0.369739i	0.681435	−	0.731879i	$-0.261356\pi$
$769$	−6.95182	−	10.2532i	−0.250689	−	0.369739i	−0.932124	+	0.362140i	$0.882046\pi$
$770$	−0.906833	+	16.7256i	−0.0326800	+	0.602747i
$771$	6.26052	−	15.7127i	0.225467	−	0.565880i
$772$	10.2837	−	4.75773i	0.370117	−	0.171234i
$773$	28.6117	−	17.2151i	1.02909	−	0.619184i	0.102297	−	0.994754i	$-0.467381\pi$
$773$	28.6117	−	17.2151i	1.02909	−	0.619184i	0.926794	+	0.375570i	$0.122553\pi$
$774$	1.11058	−	3.99994i	0.0399189	−	0.143775i
$775$	2.83266	−	0.623517i	0.101752	−	0.0223974i
$776$	11.2355	+	1.22193i	0.403329	+	0.0438647i
$777$	2.93689	+	1.76707i	0.105360	+	0.0633932i
$778$	11.6081	−	10.9958i	0.416171	−	0.394218i
$779$	61.0084	+	28.2255i	2.18585	+	1.01128i
$780$	−5.65518	+	0.615038i	−0.202488	+	0.0220219i
$781$	14.0500	−	4.73401i	0.502750	−	0.169396i
$782$	14.6055	+	36.6571i	0.522292	+	1.31086i
$783$	2.78397	+	2.63712i	0.0994910	+	0.0942429i
$784$	−1.35587	−	4.88341i	−0.0484240	−	0.174408i
$785$	−25.4235	−	47.9539i	−0.907405	−	1.71155i
$786$	9.03495	−	6.86819i	0.322266	−	0.244980i
$787$	0.887216	+	16.3637i	0.0316258	+	0.583304i	0.970804	+	0.239874i	$0.0771061\pi$
$787$	0.887216	+	16.3637i	0.0316258	+	0.583304i	−0.939178	+	0.343430i	$0.888411\pi$
$788$	−15.5160	−	5.22794i	−0.552734	−	0.186238i
$789$	9.97568	+	2.19581i	0.355144	+	0.0781730i
$790$	−10.7540	+	20.2842i	−0.382611	+	0.721681i
$791$	3.69395	+	22.5321i	0.131342	+	0.801148i
$792$	2.35599	−	2.77368i	0.0837164	−	0.0985585i
$793$	8.26552	+	9.73092i	0.293517	+	0.345555i
$794$	−2.52574	+	15.4063i	−0.0896352	+	0.546750i
$795$	−24.4309	−	18.5719i	−0.866476	−	0.658678i
$796$	−3.03735	+	4.47976i	−0.107656	+	0.158781i
$797$	−5.47141	+	8.06973i	−0.193807	+	0.285845i	−0.912160	−	0.409835i	$-0.865586\pi$
$797$	−5.47141	+	8.06973i	−0.193807	+	0.285845i	0.718352	+	0.695680i	$0.244897\pi$
$798$	−7.41486	−	5.63663i	−0.262483	−	0.199535i
$799$	−3.76775	+	22.9822i	−0.133293	+	0.813053i
$800$	3.86221	+	4.54695i	0.136550	+	0.160759i
$801$	−4.99010	+	5.87480i	−0.176317	+	0.207576i
$802$	−2.49945	−	15.2459i	−0.0882585	−	0.538353i
$803$	1.48313	−	2.79747i	0.0523384	−	0.0987206i
$804$	−14.0708	−	3.09721i	−0.496238	−	0.109230i
$805$	−24.4884	−	8.25110i	−0.863102	−	0.290813i
$806$	−0.0452152	−	0.833945i	−0.00159264	−	0.0293745i
$807$	−15.4215	+	11.7231i	−0.542861	+	0.412672i
$808$	4.22542	+	7.96999i	0.148650	+	0.280383i
$809$	1.18063	+	4.25223i	0.0415086	+	0.149500i	0.981400	−	0.191972i	$-0.0614882\pi$
$809$	1.18063	+	4.25223i	0.0415086	+	0.149500i	−0.939892	+	0.341472i	$0.889074\pi$
$810$	2.40411	+	2.27730i	0.0844720	+	0.0800161i
$811$	−5.09960	−	12.7990i	−0.179071	−	0.449435i	0.811852	−	0.583863i	$-0.198459\pi$
$811$	−5.09960	−	12.7990i	−0.179071	−	0.449435i	−0.990923	+	0.134428i	$0.957080\pi$
$812$	5.05088	−	1.70184i	0.177251	−	0.0597229i
$813$	−15.9179	+	1.73117i	−0.558264	+	0.0607148i
$814$	−8.14487	−	3.76822i	−0.285478	−	0.132076i
$815$	−12.4185	+	11.7634i	−0.435002	+	0.412056i
$816$	−6.02226	−	3.62347i	−0.210821	−	0.126847i
$817$	27.6553	+	3.00769i	0.967536	+	0.105226i
$818$	−18.0412	+	3.97117i	−0.630796	+	0.138849i
$819$	−0.638756	+	2.30059i	−0.0223200	+	0.0803892i
$820$	−28.4633	+	17.1258i	−0.993980	+	0.598058i
$821$	−5.54808	+	2.56681i	−0.193629	+	0.0895824i	−0.514308	−	0.857606i	$-0.671951\pi$
$821$	−5.54808	+	2.56681i	−0.193629	+	0.0895824i	0.320679	+	0.947188i	$0.396089\pi$
$822$	2.69579	−	6.76592i	0.0940264	−	0.235989i
$823$	2.07959	−	38.3557i	0.0724898	−	1.33700i	−0.705496	−	0.708714i	$-0.749276\pi$
$823$	2.07959	−	38.3557i	0.0724898	−	1.33700i	0.777986	−	0.628282i	$-0.216241\pi$
$824$	1.16496	+	1.71819i	0.0405834	+	0.0598560i
$825$	21.7111			0.755884
$826$	10.0058	+	3.72340i	0.348146	+	0.129554i
$827$	−0.954030			−0.0331749			−0.0165874	−	0.999862i	$-0.505280\pi$
$827$	−0.954030			−0.0331749			−0.0165874	+	0.999862i	$0.505280\pi$
$828$	3.15072	+	4.64697i	0.109495	+	0.161493i
$829$	−0.141836	+	2.61602i	−0.00492618	+	0.0908580i	−0.999963	−	0.00865383i	$-0.997245\pi$
$829$	−0.141836	+	2.61602i	−0.00492618	+	0.0908580i	0.995036	+	0.0995119i	$0.0317281\pi$
$830$	17.9438	−	45.0355i	0.622838	−	1.56321i
$831$	22.5739	−	10.4438i	0.783080	−	0.362292i
$832$	1.47193	−	0.885630i	0.0510300	−	0.0307037i
$833$	−9.52950	+	34.3221i	−0.330177	+	1.18919i
$834$	8.35982	−	1.84014i	0.289477	−	0.0637187i
$835$	−80.6498	−	8.77119i	−2.79100	−	0.303540i
$836$	20.8963	+	12.5729i	0.722715	+	0.434843i
$837$	−0.352964	+	0.334345i	−0.0122002	+	0.0115567i
$838$	−17.1930	−	7.95434i	−0.593923	−	0.274778i
$839$	4.94064	−	0.537326i	0.170570	−	0.0185506i	−0.0224356	−	0.999748i	$-0.507142\pi$
$839$	4.94064	−	0.537326i	0.170570	−	0.0185506i	0.193005	+	0.981198i	$0.438177\pi$
$840$	4.36172	−	1.46963i	0.150494	−	0.0507072i
$841$	5.29117	+	13.2798i	0.182454	+	0.457926i
$842$	−16.3453	−	15.4831i	−0.563296	−	0.533582i
$843$	−6.94234	−	25.0040i	−0.239107	−	0.861185i
$844$	−9.10092	−	17.1662i	−0.313267	−	0.590884i
$845$	26.4918	−	20.1385i	0.911346	−	0.692787i
$846$	0.179395	+	3.30875i	0.00616773	+	0.113757i
$847$	−2.95568	−	0.995886i	−0.101559	−	0.0342191i
$848$	9.05067	+	1.99220i	0.310801	+	0.0684125i
$849$	−12.3785	+	23.3483i	−0.424829	+	0.801312i
$850$	−6.78350	−	41.3775i	−0.232672	−	1.41924i
$851$	8.96309	−	10.5522i	0.307251	−	0.361724i
$852$	−2.63744	−	3.10503i	−0.0903572	−	0.106377i
$853$	9.03343	−	55.1015i	0.309299	−	1.88664i	−0.135136	−	0.990827i	$-0.543147\pi$
$853$	9.03343	−	55.1015i	0.309299	−	1.88664i	0.444435	−	0.895811i	$-0.353404\pi$
$854$	−8.22392	−	6.25166i	−0.281417	−	0.213927i
$855$	−12.4532	+	18.3671i	−0.425891	+	0.628142i
$856$	9.26974	−	13.6718i	0.316833	−	0.467294i
$857$	−30.9747	−	23.5463i	−1.05808	−	0.804328i	−0.0768208	−	0.997045i	$-0.524477\pi$
$857$	−30.9747	−	23.5463i	−1.05808	−	0.804328i	−0.981254	+	0.192717i	$0.938270\pi$
$858$	1.01139	−	6.16920i	0.0345282	−	0.210613i
$859$	29.5258	+	34.7604i	1.00741	+	1.18601i	0.982489	+	0.186321i	$0.0596565\pi$
$859$	29.5258	+	34.7604i	1.00741	+	1.18601i	0.0249176	+	0.999690i	$0.492068\pi$
$860$	−8.89947	+	10.4773i	−0.303469	+	0.357272i
$861$	2.25565	+	13.7589i	0.0768724	+	0.468901i
$862$	−18.3960	+	34.6986i	−0.626572	+	1.18184i
$863$	−8.47872	−	1.86631i	−0.288619	−	0.0635298i	0.0683012	−	0.997665i	$-0.478242\pi$
$863$	−8.47872	−	1.86631i	−0.288619	−	0.0635298i	−0.356920	+	0.934135i	$0.616173\pi$
$864$	−0.947653	−	0.319302i	−0.0322398	−	0.0108629i
$865$	0.774850	+	14.2913i	0.0263457	+	0.485918i
$866$	−10.8688	+	8.26225i	−0.369337	+	0.280763i
$867$	15.1751	+	28.6233i	0.515373	+	0.972097i
$868$	0.180781	+	0.651115i	0.00613611	+	0.0221003i
$869$	−18.3176	−	17.3513i	−0.621381	−	0.588604i
$870$	−4.70019	−	11.7966i	−0.159352	−	0.399942i
$871$	−23.4542	+	7.90263i	−0.794714	+	0.267770i
$872$	8.76230	−	0.952957i	0.296729	−	0.0322712i
$873$	−10.2571	−	4.74546i	−0.347152	−	0.160610i
$874$	−27.3142	+	25.8734i	−0.923917	+	0.875180i
$875$	3.80917	+	2.29190i	0.128773	+	0.0774804i
$876$	−0.864949	−	0.0940689i	−0.0292239	−	0.00317829i
$877$	−42.2350	+	9.29663i	−1.42617	+	0.313925i	−0.859972	−	0.510341i	$-0.829519\pi$
$877$	−42.2350	+	9.29663i	−1.42617	+	0.313925i	−0.566203	+	0.824266i	$0.691588\pi$
$878$	0.758063	−	2.73030i	0.0255834	−	0.0921430i
$879$	21.4008	−	12.8764i	0.721829	−	0.434310i
$880$	−10.9374	+	5.06017i	−0.368699	+	0.170578i
$881$	−11.0306	+	27.6847i	−0.371630	+	0.932720i	0.617619	+	0.786477i	$0.288097\pi$
$881$	−11.0306	+	27.6847i	−0.371630	+	0.932720i	−0.989249	+	0.146243i	$0.953282\pi$
$882$	−0.274384	+	5.06071i	−0.00923899	+	0.170403i
$883$	12.4818	+	18.4092i	0.420045	+	0.619520i	0.977563	−	0.210645i	$-0.0675565\pi$
$883$	12.4818	+	18.4092i	0.420045	+	0.619520i	−0.557518	+	0.830165i	$0.688246\pi$
$884$	−12.0734			−0.406072
$885$	7.56741	−	24.2842i	0.254376	−	0.816303i
$886$	32.5544			1.09369
$887$	4.74568	+	6.99936i	0.159344	+	0.235015i	0.898977	−	0.437995i	$-0.144311\pi$
$887$	4.74568	+	6.99936i	0.159344	+	0.235015i	−0.739633	+	0.673010i	$0.765001\pi$
$888$	−0.133506	+	2.46238i	−0.00448018	+	0.0826320i
$889$	0.343032	−	0.860945i	0.0115049	−	0.0288752i
$890$	23.1660	−	10.7177i	0.776524	−	0.359258i
$891$	−3.11830	+	1.87622i	−0.104467	+	0.0628557i
$892$	0.883930	−	3.18363i	0.0295962	−	0.106596i
$893$	−21.6860	+	4.77344i	−0.725693	+	0.159737i
$894$	−16.9255	−	1.84076i	−0.566073	−	0.0615641i
$895$	−26.7913	−	16.1198i	−0.895534	−	0.538825i
$896$	−1.00907	+	0.955841i	−0.0337106	+	0.0319324i
$897$	8.75313	+	4.04963i	0.292259	+	0.135213i
$898$	3.31716	−	0.360762i	0.110695	−	0.0120388i
$899$	1.76676	−	0.595289i	0.0589246	−	0.0198540i
$900$	−2.20819	−	5.54214i	−0.0736064	−	0.184738i
$901$	−47.2868	−	44.7924i	−1.57535	−	1.49225i
$902$	−9.76639	−	35.1754i	−0.325185	−	1.17121i
$903$	2.70266	+	5.09775i	0.0899388	+	0.169643i
$904$	−13.0779	+	9.94154i	−0.434964	+	0.330651i
$905$	1.30300	+	24.0324i	0.0433131	+	0.798863i
$906$	−2.63076	−	0.886406i	−0.0874011	−	0.0294489i
$907$	−32.6889	−	7.19537i	−1.08542	−	0.238918i	−0.363985	−	0.931405i	$-0.618584\pi$
$907$	−32.6889	−	7.19537i	−1.08542	−	0.238918i	−0.721431	+	0.692486i	$0.756515\pi$
$908$	−0.608391	+	1.14755i	−0.0201902	+	0.0380827i
$909$	−1.45940	−	8.90197i	−0.0484054	−	0.295260i
$910$	5.11859	−	6.02607i	0.169680	−	0.199762i
$911$	4.81435	+	5.66789i	0.159506	+	0.187785i	0.836110	−	0.548562i	$-0.184825\pi$
$911$	4.81435	+	5.66789i	0.159506	+	0.187785i	−0.676603	+	0.736348i	$0.736549\pi$
$912$	1.08413	−	6.61292i	0.0358992	−	0.218976i
$913$	42.4133	+	32.2418i	1.40368	+	1.06705i
$914$	18.3996	−	27.1374i	0.608605	−	0.897625i
$915$	−13.8120	+	20.3712i	−0.456611	+	0.673451i
$916$	16.6630	+	12.6669i	0.550561	+	0.418526i
$917$	−2.55199	+	15.5665i	−0.0842742	+	0.514050i
$918$	4.55003	+	5.35671i	0.150173	+	0.176798i
$919$	20.6059	−	24.2592i	0.679727	−	0.800236i	−0.308825	−	0.951119i	$-0.599936\pi$
$919$	20.6059	−	24.2592i	0.679727	−	0.800236i	0.988552	+	0.150883i	$0.0482116\pi$
$920$	−3.00783	−	18.3470i	−0.0991654	−	0.604882i
$921$	7.32010	−	13.8072i	0.241205	−	0.454962i
$922$	−0.148127	−	0.0326051i	−0.00487829	−	0.00107379i
$923$	−6.63203	−	2.23459i	−0.218296	−	0.0735525i
$924$	0.273846	+	5.05079i	0.00900886	+	0.166159i
$925$	−11.7119	+	8.90319i	−0.385086	+	0.292735i
$926$	19.0990	+	36.0246i	0.627633	+	1.18384i
$927$	−0.555360	−	2.00022i	−0.0182404	−	0.0656960i
$928$	2.78397	+	2.63712i	0.0913883	+	0.0865676i
$929$	4.11762	+	10.3344i	0.135095	+	0.339062i	0.980924	−	0.194392i	$-0.0622732\pi$
$929$	4.11762	+	10.3344i	0.135095	+	0.339062i	−0.845829	+	0.533453i	$0.820894\pi$
$930$	1.52569	−	0.514066i	0.0500294	−	0.0168569i
$931$	−33.7636	+	3.67201i	−1.10656	+	0.120345i
$932$	14.5047	+	6.71059i	0.475117	+	0.219813i
$933$	−21.6012	+	20.4617i	−0.707190	+	0.669886i
$934$	−4.39119	−	2.64209i	−0.143684	−	0.0864518i
$935$	84.2032	+	9.15765i	2.75374	+	0.299487i
$936$	−1.67766	+	0.369281i	−0.0548361	+	0.0120703i
$937$	0.628121	−	2.26229i	0.0205198	−	0.0739057i	−0.952581	−	0.304284i	$-0.901583\pi$
$937$	0.628121	−	2.26229i	0.0205198	−	0.0739057i	0.973101	+	0.230379i	$0.0739965\pi$
$938$	17.1588	−	10.3241i	0.560255	−	0.337095i
$939$	−2.92377	+	1.35268i	−0.0954136	+	0.0441430i
$940$	4.06150	−	10.1936i	0.132471	−	0.332478i
$941$	1.79695	−	33.1428i	0.0585789	−	1.08042i	−0.810496	−	0.585744i	$-0.800802\pi$
$941$	1.79695	−	33.1428i	0.0585789	−	1.08042i	0.869075	−	0.494681i	$-0.164715\pi$
$942$	−9.19809	−	13.5662i	−0.299690	−	0.442010i
$943$	56.3193			1.83401
$944$	1.00519	+	7.61509i	0.0327161	+	0.247850i
$945$	−4.60265			−0.149724
$946$	−8.47806	−	12.5042i	−0.275645	−	0.406547i
$947$	−2.65203	+	48.9138i	−0.0861794	+	1.58949i	0.561437	+	0.827519i	$0.310249\pi$
$947$	−2.65203	+	48.9138i	−0.0861794	+	1.58949i	−0.647617	+	0.761966i	$0.724234\pi$
$948$	−2.56619	+	6.44065i	−0.0833459	+	0.209183i
$949$	−1.35645	+	0.627562i	−0.0440324	+	0.0203715i
$950$	34.2558	−	20.6110i	1.11140	−	0.668709i
$951$	−8.39139	+	30.2231i	−0.272110	+	0.980050i
$952$	9.54034	−	2.09999i	0.309204	−	0.0680610i
$953$	8.62214	+	0.937714i	0.279298	+	0.0303755i	0.246696	−	0.969093i	$-0.420655\pi$
$953$	8.62214	+	0.937714i	0.279298	+	0.0303755i	0.0326023	+	0.999468i	$0.489621\pi$
$954$	−7.94078	−	4.77781i	−0.257092	−	0.154687i
$955$	−48.5200	+	45.9606i	−1.57007	+	1.48725i
$956$	2.32019	+	1.07344i	0.0750404	+	0.0347174i
$957$	13.8735	−	1.50884i	0.448467	−	0.0487738i
$958$	7.12780	−	2.40164i	0.230289	−	0.0775933i
$959$	3.74691	+	9.40403i	0.120994	+	0.303672i
$960$	2.40411	+	2.27730i	0.0775925	+	0.0734995i
$961$	−8.23014	−	29.6423i	−0.265488	−	0.956203i
$962$	1.98424	+	3.74268i	0.0639746	+	0.120669i
$963$	−13.1499	+	9.99632i	−0.423751	+	0.322127i
$964$	0.670050	+	12.3583i	0.0215808	+	0.398035i
$965$	35.5579	+	11.9808i	1.14465	+	0.385677i
$966$	−7.62106	−	1.67752i	−0.245204	−	0.0539734i
$967$	−12.2238	+	23.0566i	−0.393091	+	0.741449i	−0.998516	−	0.0544536i	$-0.982658\pi$
$967$	−12.2238	+	23.0566i	−0.393091	+	0.741449i	0.605425	+	0.795902i	$0.293003\pi$
$968$	−0.363038	−	2.21443i	−0.0116685	−	0.0711746i
$969$	−30.4907	+	35.8964i	−0.979501	+	1.15316i
$970$	24.2286	+	28.5241i	0.777934	+	0.915855i
$971$	2.89805	−	17.6773i	0.0930028	−	0.567292i	−0.898682	−	0.438601i	$-0.855474\pi$
$971$	2.89805	−	17.6773i	0.0930028	−	0.567292i	0.991685	−	0.128691i	$-0.0410775\pi$
$972$	0.796093	+	0.605174i	0.0255347	+	0.0194110i
$973$	−6.67676	+	9.84749i	−0.214047	+	0.315696i
$974$	2.70646	−	3.99173i	0.0867207	−	0.127903i
$975$	−8.15859	−	6.20200i	−0.261284	−	0.198623i
$976$	1.20243	−	7.33447i	0.0384887	−	0.234771i
$977$	1.36460	+	1.60653i	0.0436575	+	0.0513975i	0.783557	−	0.621319i	$-0.213403\pi$
$977$	1.36460	+	1.60653i	0.0436575	+	0.0513975i	−0.739900	+	0.672717i	$0.765127\pi$
$978$	−3.34409	+	3.93697i	−0.106932	+	0.125890i
$979$	4.53822	+	27.6819i	0.145042	+	0.884718i
$980$	7.86132	−	14.8280i	0.251121	−	0.473664i
$981$	−8.60790	−	1.89474i	−0.274829	−	0.0604945i
$982$	7.49759	+	2.52623i	0.239258	+	0.0806153i
$983$	0.940678	+	17.3498i	0.0300030	+	0.553372i	0.974436	+	0.224667i	$0.0721295\pi$
$983$	0.940678	+	17.3498i	0.0300030	+	0.553372i	−0.944433	+	0.328705i	$0.893388\pi$
$984$	−7.98580	+	6.07065i	−0.254578	+	0.193525i
$985$	−25.3966	−	47.9031i	−0.809203	−	1.52632i
$986$	−7.21027	−	25.9690i	−0.229622	−	0.827023i
$987$	−3.34366	−	3.16728i	−0.106430	−	0.100816i
$988$	−4.26083	−	10.6939i	−0.135555	−	0.340218i
$989$	22.0867	−	7.44188i	0.702316	−	0.236638i
$990$	11.9806	−	1.30297i	0.380767	−	0.0414110i
$991$	44.4339	+	20.5573i	1.41149	+	0.653025i	0.969746	−	0.244116i	$-0.0784977\pi$
$991$	44.4339	+	20.5573i	1.41149	+	0.653025i	0.441745	+	0.897141i	$0.354360\pi$
$992$	−0.352964	+	0.334345i	−0.0112066	+	0.0106155i
$993$	14.8333	+	8.92492i	0.470721	+	0.283224i
$994$	5.62928	+	0.612221i	0.178550	+	0.0194185i
$995$	−17.5039	+	3.85290i	−0.554911	+	0.122145i
$996$	3.91651	−	14.1060i	0.124099	−	0.446965i
$997$	18.3217	−	11.0238i	0.580253	−	0.349127i	−0.194975	−	0.980808i	$-0.562463\pi$
$997$	18.3217	−	11.0238i	0.580253	−	0.349127i	0.775228	+	0.631682i	$0.217635\pi$
$998$	−21.6089	+	9.99735i	−0.684018	+	0.316461i
$999$	0.912759	−	2.29085i	0.0288784	−	0.0724793i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	354.2.e.a.7.1	✓	56
59.17	even	29	inner	354.2.e.a.253.1	yes	56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
354.2.e.a.7.1	✓	56	1.1	even	1	trivial
354.2.e.a.253.1	yes	56	59.17	even	29	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:	\( N \)	\(=\)	\( 354 = 2 \cdot 3 \cdot 59 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	354.e (of order \(29\), degree \(28\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.561187 - 0.827689i) q^{2} +(0.0541389 - 0.998533i) q^{3} +(-0.370138 + 0.928977i) q^{4} +(-3.00541 + 1.39045i) q^{5} +(-0.856857 + 0.515554i) q^{6} +(0.371841 - 1.33925i) q^{7} +(0.976621 - 0.214970i) q^{8} +(-0.994138 - 0.108119i) q^{9} +O(q^{10})\)	\(q+(-0.561187 - 0.827689i) q^{2} +(0.0541389 - 0.998533i) q^{3} +(-0.370138 + 0.928977i) q^{4} +(-3.00541 + 1.39045i) q^{5} +(-0.856857 + 0.515554i) q^{6} +(0.371841 - 1.33925i) q^{7} +(0.976621 - 0.214970i) q^{8} +(-0.994138 - 0.108119i) q^{9} +(2.83746 + 1.70724i) q^{10} +(-2.64206 + 2.50270i) q^{11} +(0.907575 + 0.419889i) q^{12} +(1.70775 - 0.185729i) q^{13} +(-1.31715 + 0.443801i) q^{14} +(1.22570 + 3.07628i) q^{15} +(-0.725995 - 0.687699i) q^{16} +(1.88027 + 6.77213i) q^{17} +(0.468408 + 0.883512i) q^{18} +(-5.33478 + 4.05539i) q^{19} +(-0.179280 - 3.30662i) q^{20} +(-1.31715 - 0.443801i) q^{21} +(3.55415 + 0.782327i) q^{22} +(-2.62983 + 4.96038i) q^{23} +(-0.161782 - 0.986827i) q^{24} +(3.86221 - 4.54695i) q^{25} +(-1.11210 - 1.30926i) q^{26} +(-0.161782 + 0.986827i) q^{27} +(1.10650 + 0.841138i) q^{28} +(2.15198 - 3.17393i) q^{29} +(1.85836 - 2.74087i) q^{30} +(0.387044 + 0.294223i) q^{31} +(-0.161782 + 0.986827i) q^{32} +(2.35599 + 2.77368i) q^{33} +(4.55003 - 5.35671i) q^{34} +(0.744627 + 4.54202i) q^{35} +(0.468408 - 0.883512i) q^{36} +(-2.40834 - 0.530116i) q^{37} +(6.35041 + 2.13970i) q^{38} +(-0.0930011 - 1.71530i) q^{39} +(-2.63624 + 2.00402i) q^{40} +(-4.69872 - 8.86272i) q^{41} +(0.371841 + 1.33925i) q^{42} +(-3.01379 - 2.85481i) q^{43} +(-1.34702 - 3.38076i) q^{44} +(3.13813 - 1.05736i) q^{45} +(5.58148 - 0.607022i) q^{46} +(3.00735 + 1.39135i) q^{47} +(-0.725995 + 0.687699i) q^{48} +(4.34268 + 2.61290i) q^{49} +(-5.93089 - 0.645023i) q^{50} +(6.86399 - 1.51088i) q^{51} +(-0.459566 + 1.65521i) q^{52} +(-7.94078 + 4.77781i) q^{53} +(0.907575 - 0.419889i) q^{54} +(4.46061 - 11.1953i) q^{55} +(0.0752483 - 1.38787i) q^{56} +(3.76062 + 5.54651i) q^{57} -3.83469 q^{58} +(-5.96666 - 4.83725i) q^{59} -3.31147 q^{60} +(4.17096 + 6.15170i) q^{61} +(0.0263212 - 0.485466i) q^{62} +(-0.514459 + 1.29120i) q^{63} +(0.907575 - 0.419889i) q^{64} +(-4.87425 + 2.93274i) q^{65} +(0.973597 - 3.50658i) q^{66} +(-14.0708 + 3.09721i) q^{67} +(-6.98711 - 0.759894i) q^{68} +(4.81073 + 2.89452i) q^{69} +(3.34151 - 3.16524i) q^{70} +(-3.69744 - 1.71062i) q^{71} +(-0.994138 + 0.108119i) q^{72} +(-0.824505 + 0.277808i) q^{73} +(0.912759 + 2.29085i) q^{74} +(-4.33119 - 4.10272i) q^{75} +(-1.79276 - 6.45694i) q^{76} +(2.36931 + 4.46899i) q^{77} +(-1.36755 + 1.03958i) q^{78} +(0.375348 + 6.92289i) q^{79} +(3.13813 + 1.05736i) q^{80} +(0.976621 + 0.214970i) q^{81} +(-4.69872 + 8.86272i) q^{82} +(-2.36842 - 14.4467i) q^{83} +(0.899809 - 1.05934i) q^{84} +(-15.0673 - 17.7386i) q^{85} +(-0.671598 + 4.09657i) q^{86} +(-3.05277 - 2.32066i) q^{87} +(-2.04229 + 3.01215i) q^{88} +(4.32567 - 6.37989i) q^{89} +(-2.63624 - 2.00402i) q^{90} +(0.386274 - 2.35617i) q^{91} +(-3.63468 - 4.27907i) q^{92} +(0.314746 - 0.370547i) q^{93} +(-0.536082 - 3.26995i) q^{94} +(10.3944 - 19.6059i) q^{95} +(0.976621 + 0.214970i) q^{96} +(10.7101 + 3.60865i) q^{97} +(-0.274384 - 5.06071i) q^{98} +(2.89717 - 2.20237i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 56 q - 2 q^{2} - 2 q^{3} - 2 q^{4} + 4 q^{5} - 2 q^{6} + 9 q^{7} - 2 q^{8} - 2 q^{9}+O(q^{10}) \) 56 * q - 2 * q^2 - 2 * q^3 - 2 * q^4 + 4 * q^5 - 2 * q^6 + 9 * q^7 - 2 * q^8 - 2 * q^9	\( 56 q - 2 q^{2} - 2 q^{3} - 2 q^{4} + 4 q^{5} - 2 q^{6} + 9 q^{7} - 2 q^{8} - 2 q^{9} + 4 q^{10} - 18 q^{11} - 2 q^{12} + 13 q^{13} - 20 q^{14} + 4 q^{15} - 2 q^{16} + 21 q^{17} - 2 q^{18} + 20 q^{19} + 4 q^{20} - 20 q^{21} + 11 q^{22} + 34 q^{23} - 2 q^{24} - 28 q^{25} - 16 q^{26} - 2 q^{27} + 9 q^{28} + 38 q^{29} + 4 q^{30} + 34 q^{31} - 2 q^{32} + 11 q^{33} - 8 q^{34} - 19 q^{35} - 2 q^{36} - 29 q^{37} + 20 q^{38} + 13 q^{39} + 4 q^{40} + 43 q^{41} + 9 q^{42} - 65 q^{43} + 11 q^{44} + 4 q^{45} + 5 q^{46} - 60 q^{47} - 2 q^{48} - 13 q^{49} - 86 q^{50} + 21 q^{51} - 16 q^{52} - 15 q^{53} - 2 q^{54} - 15 q^{55} + 9 q^{56} + 20 q^{57} - 78 q^{58} - 2 q^{59} - 54 q^{60} + 4 q^{61} + 5 q^{62} + 9 q^{63} - 2 q^{64} - 57 q^{65} + 11 q^{66} - 56 q^{67} - 8 q^{68} - 53 q^{69} + 10 q^{70} + 23 q^{71} - 2 q^{72} - 21 q^{73} + 30 q^{75} - 9 q^{76} - 57 q^{77} + 13 q^{78} + 99 q^{79} + 4 q^{80} - 2 q^{81} + 43 q^{82} + 33 q^{83} + 9 q^{84} - 45 q^{85} - 7 q^{86} + 9 q^{87} - 18 q^{88} + 32 q^{89} + 4 q^{90} - 75 q^{91} + 34 q^{92} + 5 q^{93} + 27 q^{94} + 82 q^{95} - 2 q^{96} + 70 q^{97} + 45 q^{98} + 11 q^{99}+O(q^{100}) \) 56 * q - 2 * q^2 - 2 * q^3 - 2 * q^4 + 4 * q^5 - 2 * q^6 + 9 * q^7 - 2 * q^8 - 2 * q^9 + 4 * q^10 - 18 * q^11 - 2 * q^12 + 13 * q^13 - 20 * q^14 + 4 * q^15 - 2 * q^16 + 21 * q^17 - 2 * q^18 + 20 * q^19 + 4 * q^20 - 20 * q^21 + 11 * q^22 + 34 * q^23 - 2 * q^24 - 28 * q^25 - 16 * q^26 - 2 * q^27 + 9 * q^28 + 38 * q^29 + 4 * q^30 + 34 * q^31 - 2 * q^32 + 11 * q^33 - 8 * q^34 - 19 * q^35 - 2 * q^36 - 29 * q^37 + 20 * q^38 + 13 * q^39 + 4 * q^40 + 43 * q^41 + 9 * q^42 - 65 * q^43 + 11 * q^44 + 4 * q^45 + 5 * q^46 - 60 * q^47 - 2 * q^48 - 13 * q^49 - 86 * q^50 + 21 * q^51 - 16 * q^52 - 15 * q^53 - 2 * q^54 - 15 * q^55 + 9 * q^56 + 20 * q^57 - 78 * q^58 - 2 * q^59 - 54 * q^60 + 4 * q^61 + 5 * q^62 + 9 * q^63 - 2 * q^64 - 57 * q^65 + 11 * q^66 - 56 * q^67 - 8 * q^68 - 53 * q^69 + 10 * q^70 + 23 * q^71 - 2 * q^72 - 21 * q^73 + 30 * q^75 - 9 * q^76 - 57 * q^77 + 13 * q^78 + 99 * q^79 + 4 * q^80 - 2 * q^81 + 43 * q^82 + 33 * q^83 + 9 * q^84 - 45 * q^85 - 7 * q^86 + 9 * q^87 - 18 * q^88 + 32 * q^89 + 4 * q^90 - 75 * q^91 + 34 * q^92 + 5 * q^93 + 27 * q^94 + 82 * q^95 - 2 * q^96 + 70 * q^97 + 45 * q^98 + 11 * q^99

Introduction

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