LMFDB - Embedded newform 354.2.e.b.133.2

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			133.2
Character	$\chi$	$=$	354.133
Dual form			354.2.e.b.181.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.994138 - 0.108119i) q^{2} +(-0.647386 - 0.762162i) q^{3} +(0.976621 - 0.214970i) q^{4} +(2.26091 - 1.71870i) q^{5} +(-0.725995 - 0.687699i) q^{6} +(0.732533 + 1.83852i) q^{7} +(0.947653 - 0.319302i) q^{8} +(-0.161782 + 0.986827i) q^{9} +O(q^{10})$	\(q+(0.994138 - 0.108119i) q^{2} +(-0.647386 - 0.762162i) q^{3} +(0.976621 - 0.214970i) q^{4} +(2.26091 - 1.71870i) q^{5} +(-0.725995 - 0.687699i) q^{6} +(0.732533 + 1.83852i) q^{7} +(0.947653 - 0.319302i) q^{8} +(-0.161782 + 0.986827i) q^{9} +(2.06183 - 1.95307i) q^{10} +(-0.851752 - 0.394062i) q^{11} +(-0.796093 - 0.605174i) q^{12} +(-0.231097 - 1.40963i) q^{13} +(0.927018 + 1.74854i) q^{14} +(-2.77361 - 0.610518i) q^{15} +(0.907575 - 0.419889i) q^{16} +(1.28555 - 3.22650i) q^{17} +(-0.0541389 + 0.998533i) q^{18} +(-1.42801 + 2.10615i) q^{19} +(1.83858 - 2.16455i) q^{20} +(0.927018 - 1.74854i) q^{21} +(-0.889364 - 0.299662i) q^{22} +(-0.00226748 - 0.0418212i) q^{23} +(-0.856857 - 0.515554i) q^{24} +(0.820149 - 2.95391i) q^{25} +(-0.382150 - 1.37638i) q^{26} +(0.856857 - 0.515554i) q^{27} +(1.11063 + 1.63806i) q^{28} +(-1.33370 - 0.145049i) q^{29} +(-2.82336 - 0.307059i) q^{30} +(0.111688 + 0.164727i) q^{31} +(0.856857 - 0.515554i) q^{32} +(0.251073 + 0.904283i) q^{33} +(0.929173 - 3.34658i) q^{34} +(4.81606 + 2.89772i) q^{35} +(0.0541389 + 0.998533i) q^{36} +(-0.998385 - 0.336395i) q^{37} +(-1.19192 + 2.24820i) q^{38} +(-0.924756 + 1.08871i) q^{39} +(1.59378 - 2.35064i) q^{40} +(-0.301750 + 5.56545i) q^{41} +(0.732533 - 1.83852i) q^{42} +(-9.59255 + 4.43798i) q^{43} +(-0.916550 - 0.201748i) q^{44} +(1.33028 + 2.50918i) q^{45} +(-0.00677585 - 0.0413308i) q^{46} +(9.31199 + 7.07879i) q^{47} +(-0.907575 - 0.419889i) q^{48} +(2.23842 - 2.12034i) q^{49} +(0.495967 - 3.02527i) q^{50} +(-3.29137 + 1.10899i) q^{51} +(-0.528722 - 1.32699i) q^{52} +(0.306793 + 0.290610i) q^{53} +(0.796093 - 0.605174i) q^{54} +(-2.60301 + 0.572966i) q^{55} +(1.28123 + 1.50838i) q^{56} +(2.52970 - 0.275122i) q^{57} -1.34157 q^{58} +(-1.03750 + 7.61076i) q^{59} -2.84001 q^{60} +(-13.6637 + 1.48601i) q^{61} +(0.128843 + 0.151686i) q^{62} +(-1.93281 + 0.425444i) q^{63} +(0.796093 - 0.605174i) q^{64} +(-2.94522 - 2.78986i) q^{65} +(0.347371 + 0.871836i) q^{66} +(-6.67462 + 2.24894i) q^{67} +(0.561897 - 3.42742i) q^{68} +(-0.0304066 + 0.0288026i) q^{69} +(5.10112 + 2.36003i) q^{70} +(-1.51990 - 1.15540i) q^{71} +(0.161782 + 0.986827i) q^{72} +(1.58810 + 2.99547i) q^{73} +(-1.02890 - 0.226479i) q^{74} +(-2.78231 + 1.28723i) q^{75} +(-0.941861 + 2.36389i) q^{76} +(0.100555 - 1.85462i) q^{77} +(-0.801625 + 1.18231i) q^{78} +(-5.50046 + 6.47565i) q^{79} +(1.33028 - 2.50918i) q^{80} +(-0.947653 - 0.319302i) q^{81} +(0.301750 + 5.56545i) q^{82} +(-7.30565 - 4.39566i) q^{83} +(0.529460 - 1.90694i) q^{84} +(-2.63886 - 9.50431i) q^{85} +(-9.05648 + 5.44911i) q^{86} +(0.752869 + 1.11040i) q^{87} +(-0.932990 - 0.101469i) q^{88} +(9.79726 + 1.06552i) q^{89} +(1.59378 + 2.35064i) q^{90} +(2.42234 - 1.45747i) q^{91} +(-0.0112048 - 0.0403560i) q^{92} +(0.0532435 - 0.191766i) q^{93} +(10.0228 + 6.03049i) q^{94} +(0.391248 + 7.21615i) q^{95} +(-0.947653 - 0.319302i) q^{96} +(-4.74983 + 8.95913i) q^{97} +(1.99605 - 2.34993i) q^{98} +(0.526669 - 0.776779i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 56 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{5} - 2 q^{6} + q^{7} + 2 q^{8} - 2 q^{9}+O(q^{10}) $ 56 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 - 2 * q^5 - 2 * q^6 + q^7 + 2 * q^8 - 2 * q^9	\( 56 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{5} - 2 q^{6} + q^{7} + 2 q^{8} - 2 q^{9} + 2 q^{10} + 30 q^{11} + 2 q^{12} + 5 q^{13} + 28 q^{14} + 2 q^{15} - 2 q^{16} - 3 q^{17} + 2 q^{18} - 4 q^{19} - 2 q^{20} + 28 q^{21} - q^{22} - 2 q^{23} - 2 q^{24} + 64 q^{25} - 34 q^{26} + 2 q^{27} + q^{28} + 8 q^{29} - 2 q^{30} + 2 q^{32} - q^{33} + 32 q^{34} - 87 q^{35} - 2 q^{36} + 47 q^{37} + 4 q^{38} - 5 q^{39} + 2 q^{40} + 3 q^{41} + q^{42} - 61 q^{43} + q^{44} - 2 q^{45} - 27 q^{46} + 50 q^{47} + 2 q^{48} - 45 q^{49} - 6 q^{50} + 3 q^{51} - 24 q^{52} - 27 q^{53} - 2 q^{54} - 95 q^{55} - q^{56} + 4 q^{57} + 50 q^{58} - 58 q^{59} + 2 q^{60} - 74 q^{61} - 29 q^{62} + q^{63} - 2 q^{64} - 17 q^{65} + q^{66} + 4 q^{67} - 32 q^{68} + 31 q^{69} - 58 q^{70} - 47 q^{71} + 2 q^{72} + 43 q^{73} - 18 q^{74} - 6 q^{75} - 33 q^{76} - 5 q^{77} + 5 q^{78} + 19 q^{79} - 2 q^{80} - 2 q^{81} - 3 q^{82} + 47 q^{83} - q^{84} - 149 q^{85} - 55 q^{86} + 21 q^{87} + 28 q^{88} + 36 q^{89} + 2 q^{90} + 175 q^{91} - 2 q^{92} - 29 q^{93} - 21 q^{94} + 50 q^{95} - 2 q^{96} + 10 q^{97} - 13 q^{98} + q^{99}+O(q^{100}) \) 56 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 - 2 * q^5 - 2 * q^6 + q^7 + 2 * q^8 - 2 * q^9 + 2 * q^10 + 30 * q^11 + 2 * q^12 + 5 * q^13 + 28 * q^14 + 2 * q^15 - 2 * q^16 - 3 * q^17 + 2 * q^18 - 4 * q^19 - 2 * q^20 + 28 * q^21 - q^22 - 2 * q^23 - 2 * q^24 + 64 * q^25 - 34 * q^26 + 2 * q^27 + q^28 + 8 * q^29 - 2 * q^30 + 2 * q^32 - q^33 + 32 * q^34 - 87 * q^35 - 2 * q^36 + 47 * q^37 + 4 * q^38 - 5 * q^39 + 2 * q^40 + 3 * q^41 + q^42 - 61 * q^43 + q^44 - 2 * q^45 - 27 * q^46 + 50 * q^47 + 2 * q^48 - 45 * q^49 - 6 * q^50 + 3 * q^51 - 24 * q^52 - 27 * q^53 - 2 * q^54 - 95 * q^55 - q^56 + 4 * q^57 + 50 * q^58 - 58 * q^59 + 2 * q^60 - 74 * q^61 - 29 * q^62 + q^63 - 2 * q^64 - 17 * q^65 + q^66 + 4 * q^67 - 32 * q^68 + 31 * q^69 - 58 * q^70 - 47 * q^71 + 2 * q^72 + 43 * q^73 - 18 * q^74 - 6 * q^75 - 33 * q^76 - 5 * q^77 + 5 * q^78 + 19 * q^79 - 2 * q^80 - 2 * q^81 - 3 * q^82 + 47 * q^83 - q^84 - 149 * q^85 - 55 * q^86 + 21 * q^87 + 28 * q^88 + 36 * q^89 + 2 * q^90 + 175 * q^91 - 2 * q^92 - 29 * q^93 - 21 * q^94 + 50 * q^95 - 2 * q^96 + 10 * q^97 - 13 * q^98 + q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$61$	$119$
$\chi(n)$	$e\left(\frac{28}{29}\right)$	$1$

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 $

$2$	0.994138	−	0.108119i	0.702962	−	0.0764517i
$2$	0.994138	−	0.108119i	0.702962	−	0.0764517i
$3$	−0.647386	−	0.762162i	−0.373769	−	0.440034i
$3$	−0.647386	−	0.762162i	−0.373769	−	0.440034i
$4$	0.976621	−	0.214970i	0.488310	−	0.107485i
$5$	2.26091	−	1.71870i	1.01111	−	0.768626i	0.0380733	−	0.999275i	$-0.487878\pi$
$5$	2.26091	−	1.71870i	1.01111	−	0.768626i	0.973037	+	0.230649i	$0.0740848\pi$
$6$	−0.725995	−	0.687699i	−0.296386	−	0.280752i
$7$	0.732533	+	1.83852i	0.276871	+	0.694895i	0.999991	+	0.00417231i	$0.00132809\pi$
$7$	0.732533	+	1.83852i	0.276871	+	0.694895i	−0.723120	+	0.690723i	$0.757293\pi$
$8$	0.947653	−	0.319302i	0.335046	−	0.112890i
$9$	−0.161782	+	0.986827i	−0.0539273	+	0.328942i
$10$	2.06183	−	1.95307i	0.652009	−	0.617616i
$11$	−0.851752	−	0.394062i	−0.256813	−	0.118814i	0.287259	−	0.957853i	$-0.407256\pi$
$11$	−0.851752	−	0.394062i	−0.256813	−	0.118814i	−0.544072	+	0.839039i	$0.683118\pi$
$12$	−0.796093	−	0.605174i	−0.229812	−	0.174699i
$13$	−0.231097	−	1.40963i	−0.0640947	−	0.390960i	−0.999319	−	0.0369041i	$-0.988250\pi$
$13$	−0.231097	−	1.40963i	−0.0640947	−	0.390960i	0.935224	−	0.354056i	$-0.115198\pi$
$14$	0.927018	+	1.74854i	0.247756	+	0.467317i
$15$	−2.77361	−	0.610518i	−0.716143	−	0.157635i
$16$	0.907575	−	0.419889i	0.226894	−	0.104972i
$17$	1.28555	−	3.22650i	0.311793	−	0.782541i	−0.686662	−	0.726977i	$-0.740925\pi$
$17$	1.28555	−	3.22650i	0.311793	−	0.782541i	0.998455	−	0.0555644i	$-0.0176958\pi$
$18$	−0.0541389	+	0.998533i	−0.0127607	+	0.235357i
$19$	−1.42801	+	2.10615i	−0.327608	+	0.483185i	−0.955449	−	0.295156i	$-0.904628\pi$
$19$	−1.42801	+	2.10615i	−0.327608	+	0.483185i	0.627841	+	0.778341i	$0.283939\pi$
$20$	1.83858	−	2.16455i	0.411120	−	0.484007i
$21$	0.927018	−	1.74854i	0.202292	−	0.381563i
$22$	−0.889364	−	0.299662i	−0.189613	−	0.0638881i
$23$	−0.00226748	−	0.0418212i	−0.000472802	−	0.00872031i	0.998287	−	0.0584985i	$-0.0186313\pi$
$23$	−0.00226748	−	0.0418212i	−0.000472802	−	0.00872031i	−0.998760	+	0.0497782i	$0.984149\pi$
$24$	−0.856857	−	0.515554i	−0.174905	−	0.105237i
$25$	0.820149	−	2.95391i	0.164030	−	0.590782i
$26$	−0.382150	−	1.37638i	−0.0749457	−	0.269930i
$27$	0.856857	−	0.515554i	0.164902	−	0.0992184i
$28$	1.11063	+	1.63806i	0.209890	+	0.309565i
$29$	−1.33370	−	0.145049i	−0.247662	−	0.0269349i	−0.0165541	−	0.999863i	$-0.505270\pi$
$29$	−1.33370	−	0.145049i	−0.247662	−	0.0269349i	−0.231108	+	0.972928i	$0.574235\pi$
$30$	−2.82336	−	0.307059i	−0.515473	−	0.0560610i
$31$	0.111688	+	0.164727i	0.0200597	+	0.0295858i	0.837587	−	0.546305i	$-0.183966\pi$
$31$	0.111688	+	0.164727i	0.0200597	+	0.0295858i	−0.817527	+	0.575890i	$0.804656\pi$
$32$	0.856857	−	0.515554i	0.151472	−	0.0911379i
$33$	0.251073	+	0.904283i	0.0437062	+	0.157415i
$34$	0.929173	−	3.34658i	0.159352	−	0.573933i
$35$	4.81606	+	2.89772i	0.814062	+	0.489805i
$36$	0.0541389	+	0.998533i	0.00902315	+	0.166422i
$37$	−0.998385	−	0.336395i	−0.164134	−	0.0553030i	0.236035	−	0.971745i	$-0.424152\pi$
$37$	−0.998385	−	0.336395i	−0.164134	−	0.0553030i	−0.400169	+	0.916441i	$0.631048\pi$
$38$	−1.19192	+	2.24820i	−0.193355	+	0.364707i
$39$	−0.924756	+	1.08871i	−0.148079	+	0.174333i
$40$	1.59378	−	2.35064i	0.251998	−	0.371670i
$41$	−0.301750	+	5.56545i	−0.0471254	+	0.869177i	0.875438	+	0.483331i	$0.160573\pi$
$41$	−0.301750	+	5.56545i	−0.0471254	+	0.869177i	−0.922563	+	0.385846i	$0.873910\pi$
$42$	0.732533	−	1.83852i	0.113032	−	0.283690i
$43$	−9.59255	+	4.43798i	−1.46285	+	0.676786i	−0.980015	−	0.198925i	$-0.936255\pi$
$43$	−9.59255	+	4.43798i	−1.46285	+	0.676786i	−0.482835	+	0.875711i	$0.660393\pi$
$44$	−0.916550	−	0.201748i	−0.138175	−	0.0304146i
$45$	1.33028	+	2.50918i	0.198307	+	0.374047i
$46$	−0.00677585	−	0.0413308i	−0.000999044	−	0.00609390i
$47$	9.31199	+	7.07879i	1.35829	+	1.03255i	0.994895	+	0.100914i	$0.0321766\pi$
$47$	9.31199	+	7.07879i	1.35829	+	1.03255i	0.363398	+	0.931634i	$0.381616\pi$
$48$	−0.907575	−	0.419889i	−0.130997	−	0.0606058i
$49$	2.23842	−	2.12034i	0.319774	−	0.302906i
$50$	0.495967	−	3.02527i	0.0701404	−	0.427837i
$51$	−3.29137	+	1.10899i	−0.460883	+	0.155290i
$52$	−0.528722	−	1.32699i	−0.0733206	−	0.184021i
$53$	0.306793	+	0.290610i	0.0421413	+	0.0399183i	0.708480	−	0.705731i	$-0.249381\pi$
$53$	0.306793	+	0.290610i	0.0421413	+	0.0399183i	−0.666339	+	0.745649i	$0.732140\pi$
$54$	0.796093	−	0.605174i	0.108335	−	0.0823538i
$55$	−2.60301	+	0.572966i	−0.350990	+	0.0772587i
$56$	1.28123	+	1.50838i	0.171211	+	0.201566i
$57$	2.52970	−	0.275122i	0.335067	−	0.0364408i
$58$	−1.34157			−0.176156
$59$	−1.03750	+	7.61076i	−0.135070	+	0.990836i
$59$	−1.03750	+	7.61076i	−0.135070	+	0.990836i
$60$	−2.84001			−0.366644
$61$	−13.6637	+	1.48601i	−1.74945	+	0.190264i	−0.926103	−	0.377272i	$-0.876862\pi$
$61$	−13.6637	+	1.48601i	−1.74945	+	0.190264i	−0.823349	+	0.567536i	$0.807897\pi$
$62$	0.128843	+	0.151686i	0.0163631	+	0.0192641i
$63$	−1.93281	+	0.425444i	−0.243511	+	0.0536009i
$64$	0.796093	−	0.605174i	0.0995116	−	0.0756468i
$65$	−2.94522	−	2.78986i	−0.365309	−	0.346039i
$66$	0.347371	+	0.871836i	0.0427585	+	0.107316i
$67$	−6.67462	+	2.24894i	−0.815434	+	0.274752i	−0.695955	−	0.718085i	$-0.745019\pi$
$67$	−6.67462	+	2.24894i	−0.815434	+	0.274752i	−0.119479	+	0.992837i	$0.538122\pi$
$68$	0.561897	−	3.42742i	0.0681401	−	0.415636i
$69$	−0.0304066	+	0.0288026i	−0.00366052	+	0.00346743i
$70$	5.10112	+	2.36003i	0.609701	+	0.282078i
$71$	−1.51990	−	1.15540i	−0.180379	−	0.137120i	0.511089	−	0.859528i	$-0.329242\pi$
$71$	−1.51990	−	1.15540i	−0.180379	−	0.137120i	−0.691467	+	0.722408i	$0.743035\pi$
$72$	0.161782	+	0.986827i	0.0190662	+	0.116299i
$73$	1.58810	+	2.99547i	0.185873	+	0.350593i	0.958884	−	0.283800i	$-0.0915951\pi$
$73$	1.58810	+	2.99547i	0.185873	+	0.350593i	−0.773011	+	0.634393i	$0.781250\pi$
$74$	−1.02890	−	0.226479i	−0.119608	−	0.0263276i
$75$	−2.78231	+	1.28723i	−0.321274	+	0.148637i
$76$	−0.941861	+	2.36389i	−0.108039	+	0.271157i
$77$	0.100555	−	1.85462i	0.0114593	−	0.211354i
$78$	−0.801625	+	1.18231i	−0.0907662	+	0.133870i
$79$	−5.50046	+	6.47565i	−0.618850	+	0.728567i	−0.978894	−	0.204368i	$-0.934486\pi$
$79$	−5.50046	+	6.47565i	−0.618850	+	0.728567i	0.360044	+	0.932935i	$0.382762\pi$
$80$	1.33028	−	2.50918i	0.148730	−	0.280535i
$81$	−0.947653	−	0.319302i	−0.105295	−	0.0354779i
$82$	0.301750	+	5.56545i	0.0333227	+	0.614601i
$83$	−7.30565	−	4.39566i	−0.801899	−	0.482487i	0.0546792	−	0.998504i	$-0.482586\pi$
$83$	−7.30565	−	4.39566i	−0.801899	−	0.482487i	−0.856578	+	0.516017i	$0.827414\pi$
$84$	0.529460	−	1.90694i	0.0577688	−	0.208064i
$85$	−2.63886	−	9.50431i	−0.286224	−	1.03089i
$86$	−9.05648	+	5.44911i	−0.976586	+	0.587592i
$87$	0.752869	+	1.11040i	0.0807161	+	0.119047i
$88$	−0.932990	−	0.101469i	−0.0994570	−	0.0108166i
$89$	9.79726	+	1.06552i	1.03851	+	0.112944i	0.611452	−	0.791281i	$-0.290586\pi$
$89$	9.79726	+	1.06552i	1.03851	+	0.112944i	0.427055	+	0.904226i	$0.359551\pi$
$90$	1.59378	+	2.35064i	0.167999	+	0.247780i
$91$	2.42234	−	1.45747i	0.253930	−	0.152785i
$92$	−0.0112048	−	0.0403560i	−0.00116818	−	0.00420740i
$93$	0.0532435	−	0.191766i	0.00552110	−	0.0198852i
$94$	10.0228	+	6.03049i	1.03377	+	0.621998i
$95$	0.391248	+	7.21615i	0.0401412	+	0.740361i
$96$	−0.947653	−	0.319302i	−0.0967194	−	0.0325886i
$97$	−4.74983	+	8.95913i	−0.482272	+	0.909662i	0.516308	+	0.856403i	$0.327306\pi$
$97$	−4.74983	+	8.95913i	−0.482272	+	0.909662i	−0.998581	+	0.0532595i	$0.983039\pi$
$98$	1.99605	−	2.34993i	0.201631	−	0.237379i
$99$	0.526669	−	0.776779i	0.0529322	−	0.0780692i
$100$	0.165971	−	3.06116i	0.0165971	−	0.306116i
$101$	6.61726	−	16.6081i	0.658442	−	1.65257i	−0.0953424	−	0.995445i	$-0.530395\pi$
$101$	6.61726	−	16.6081i	0.658442	−	1.65257i	0.753785	−	0.657121i	$-0.228226\pi$
$102$	−3.15217	+	1.45835i	−0.312111	+	0.144398i
$103$	8.11077	+	1.78532i	0.799178	+	0.175912i	0.595742	−	0.803176i	$-0.296858\pi$
$103$	8.11077	+	1.78532i	0.799178	+	0.175912i	0.203436	+	0.979088i	$0.434789\pi$
$104$	−0.669096	−	1.26205i	−0.0656103	−	0.123754i
$105$	−0.909313	−	5.54656i	−0.0887398	−	0.541289i
$106$	0.336415	+	0.255736i	0.0326755	+	0.0248393i
$107$	12.1029	+	5.59939i	1.17003	+	0.541314i	0.906032	−	0.423209i	$-0.139097\pi$
$107$	12.1029	+	5.59939i	1.17003	+	0.541314i	0.263999	+	0.964523i	$0.414959\pi$
$108$	0.725995	−	0.687699i	0.0698589	−	0.0661739i
$109$	1.16821	−	7.12577i	0.111894	−	0.682525i	−0.869994	−	0.493063i	$-0.835877\pi$
$109$	1.16821	−	7.12577i	0.111894	−	0.682525i	0.981888	−	0.189462i	$-0.0606744\pi$
$110$	−2.52580	+	0.851042i	−0.240826	+	0.0811437i
$111$	0.389953	+	0.978709i	0.0370127	+	0.0928950i
$112$	1.43680	+	1.36101i	0.135765	+	0.128604i
$113$	2.94847	−	2.24137i	0.277368	−	0.210850i	−0.457236	−	0.889345i	$-0.651161\pi$
$113$	2.94847	−	2.24137i	0.277368	−	0.210850i	0.734605	+	0.678495i	$0.237368\pi$
$114$	2.48513	−	0.547018i	0.232754	−	0.0512329i
$115$	−0.0770046	−	0.0906568i	−0.00718072	−	0.00845379i
$116$	−1.33370	+	0.145049i	−0.123831	+	0.0134674i
$117$	1.42845			0.132060
$118$	−0.208547	+	7.67831i	−0.0191983	+	0.706846i
$119$	6.87369			0.630110
$120$	−2.82336	+	0.307059i	−0.257736	+	0.0280305i
$121$	−6.55105	−	7.71250i	−0.595550	−	0.701136i
$122$	−13.4229	+	2.95460i	−1.21525	+	0.267497i
$123$	4.43712	−	3.37301i	0.400082	−	0.304134i
$124$	0.144488	+	0.136866i	0.0129754	+	0.0122909i
$125$	2.03338	+	5.10339i	0.181871	+	0.456462i
$126$	−1.87548	+	0.631923i	−0.167081	+	0.0562962i
$127$	3.19724	−	19.5023i	0.283709	−	1.73055i	−0.332618	−	0.943062i	$-0.607932\pi$
$127$	3.19724	−	19.5023i	0.283709	−	1.73055i	0.616328	−	0.787490i	$-0.288620\pi$
$128$	0.725995	−	0.687699i	0.0641695	−	0.0607846i
$129$	9.59255	+	4.43798i	0.844577	+	0.390743i
$130$	−3.22959	−	2.45507i	−0.283254	−	0.215324i
$131$	−1.41898	−	8.65540i	−0.123977	−	0.756226i	−0.973502	−	0.228678i	$-0.926560\pi$
$131$	−1.41898	−	8.65540i	−0.123977	−	0.756226i	0.849525	−	0.527548i	$-0.176889\pi$
$132$	0.439597	+	0.829168i	0.0382620	+	0.0721698i
$133$	−4.91827	−	1.08259i	−0.426468	−	0.0938727i
$134$	−6.39234	+	2.95741i	−0.552214	+	0.255481i
$135$	1.05120	−	2.63830i	0.0904725	−	0.227069i
$136$	0.188034	−	3.46808i	0.0161238	−	0.297386i
$137$	−2.30874	+	3.40513i	−0.197249	+	0.290920i	−0.913431	−	0.406993i	$-0.866577\pi$
$137$	−2.30874	+	3.40513i	−0.197249	+	0.290920i	0.716183	+	0.697913i	$0.245888\pi$
$138$	−0.0271142	+	0.0319213i	−0.00230811	+	0.00271732i
$139$	2.16241	−	4.07875i	0.183414	−	0.345955i	−0.774707	−	0.632321i	$-0.782102\pi$
$139$	2.16241	−	4.07875i	0.183414	−	0.345955i	0.958120	+	0.286366i	$0.0924473\pi$
$140$	5.32638	+	1.79467i	0.450162	+	0.151677i
$141$	−0.633269	−	11.6800i	−0.0533309	−	0.983630i
$142$	−1.63591	−	0.984294i	−0.137282	−	0.0826001i
$143$	−0.358644	+	1.29172i	−0.0299913	+	0.108019i
$144$	0.267528	+	0.963550i	0.0222940	+	0.0802958i
$145$	−3.26468	+	1.96429i	−0.271117	+	0.163125i
$146$	1.90265	+	2.80620i	0.157465	+	0.232243i
$147$	−3.06517	−	0.333357i	−0.252811	−	0.0274948i
$148$	−1.04736	−	0.113907i	−0.0860924	−	0.00936311i
$149$	−2.71611	−	4.00596i	−0.222512	−	0.328181i	0.700004	−	0.714139i	$-0.253181\pi$
$149$	−2.71611	−	4.00596i	−0.222512	−	0.328181i	−0.922517	+	0.385958i	$0.873871\pi$
$150$	−2.62683	+	1.58051i	−0.214479	+	0.129048i
$151$	3.02266	+	10.8866i	0.245980	+	0.885941i	0.978680	+	0.205390i	$0.0658461\pi$
$151$	3.02266	+	10.8866i	0.245980	+	0.885941i	−0.732700	+	0.680552i	$0.761740\pi$
$152$	−0.680758	+	2.45187i	−0.0552168	+	0.198873i
$153$	2.97602	+	1.79061i	0.240597	+	0.144762i
$154$	−0.100555	−	1.85462i	−0.00810294	−	0.149450i
$155$	0.535632	+	0.180475i	0.0430230	+	0.0144961i
$156$	−0.669096	+	1.26205i	−0.0535706	+	0.101045i
$157$	−5.55379	+	6.53843i	−0.443241	+	0.521823i	−0.937732	−	0.347359i	$-0.887078\pi$
$157$	−5.55379	+	6.53843i	−0.443241	+	0.521823i	0.494491	+	0.869183i	$0.335354\pi$
$158$	−4.76808	+	7.03239i	−0.379328	+	0.559467i
$159$	0.0228782	−	0.421963i	0.00181436	−	0.0334638i
$160$	1.05120	−	2.63830i	0.0831043	−	0.208576i
$161$	0.0752280	−	0.0348042i	0.00592880	−	0.00274295i
$162$	−0.976621	−	0.214970i	−0.0767306	−	0.0168897i
$163$	2.07646	+	3.91661i	0.162641	+	0.306773i	0.951416	−	0.307909i	$-0.0996292\pi$
$163$	2.07646	+	3.91661i	0.162641	+	0.306773i	−0.788775	+	0.614682i	$0.789284\pi$
$164$	0.901711	+	5.50020i	0.0704118	+	0.429493i
$165$	2.12185	+	1.61299i	0.165185	+	0.125571i
$166$	−7.73808	−	3.58002i	−0.600591	−	0.277863i
$167$	3.77531	−	3.57616i	0.292142	−	0.276732i	−0.527565	−	0.849515i	$-0.676895\pi$
$167$	3.77531	−	3.57616i	0.292142	−	0.276732i	0.819707	+	0.572783i	$0.194136\pi$
$168$	0.320179	−	1.95301i	0.0247024	−	0.150678i
$169$	10.3858	−	3.49940i	0.798911	−	0.269185i
$170$	−3.65099	−	9.16329i	−0.280018	−	0.702792i
$171$	−1.84738	−	1.74993i	−0.141273	−	0.133821i
$172$	−8.41424	+	6.39634i	−0.641580	+	0.487716i
$173$	−1.13162	+	0.249088i	−0.0860354	+	0.0189378i	−0.257780	−	0.966204i	$-0.582991\pi$
$173$	−1.13162	+	0.249088i	−0.0860354	+	0.0189378i	0.171744	+	0.985142i	$0.445060\pi$
$174$	0.868511	+	1.02249i	0.0658417	+	0.0775148i
$175$	6.03160	−	0.655976i	0.455946	−	0.0495872i
$176$	−0.938491			−0.0707414
$177$	6.47229	−	4.13636i	0.486487	−	0.310908i
$178$	9.85503			0.738666
$179$	−15.7771	+	1.71586i	−1.17923	+	0.128249i	−0.676667	−	0.736289i	$-0.736577\pi$
$179$	−15.7771	+	1.71586i	−1.17923	+	0.128249i	−0.502567	+	0.864538i	$0.667611\pi$
$180$	1.83858	+	2.16455i	0.137040	+	0.161336i
$181$	−2.22813	+	0.490449i	−0.165616	+	0.0364548i	−0.297004	−	0.954876i	$-0.595988\pi$
$181$	−2.22813	+	0.490449i	−0.165616	+	0.0364548i	0.131388	+	0.991331i	$0.458057\pi$
$182$	2.25056	−	1.71083i	0.166823	−	0.126815i
$183$	9.97824	+	9.45189i	0.737613	+	0.698704i
$184$	−0.0155023	−	0.0389079i	−0.00114285	−	0.00286833i
$185$	−2.83542	+	0.955365i	−0.208464	+	0.0702399i
$186$	0.0321979	−	0.196398i	0.00236086	−	0.0144006i
$187$	−2.36641	+	2.24159i	−0.173049	+	0.163921i
$188$	10.6160	+	4.91149i	0.774252	+	0.358207i
$189$	1.57553	+	1.19769i	0.114603	+	0.0871190i
$190$	1.16916	+	7.13154i	0.0848196	+	0.517377i
$191$	−6.60424	−	12.4569i	−0.477866	−	0.901351i	−0.998857	−	0.0477894i	$-0.984782\pi$
$191$	−6.60424	−	12.4569i	−0.477866	−	0.901351i	0.520991	−	0.853562i	$-0.325562\pi$
$192$	−0.976621	−	0.214970i	−0.0704815	−	0.0155142i
$193$	2.05065	−	0.948733i	0.147609	−	0.0682913i	−0.344694	−	0.938715i	$-0.612017\pi$
$193$	2.05065	−	0.948733i	0.147609	−	0.0682913i	0.492303	+	0.870424i	$0.336155\pi$
$194$	−3.75334	+	9.42016i	−0.269474	+	0.676328i
$195$	−0.219631	+	4.05085i	−0.0157281	+	0.290087i
$196$	1.73028	−	2.55197i	0.123591	−	0.182283i
$197$	11.3860	−	13.4046i	0.811219	−	0.955041i	−0.188415	−	0.982090i	$-0.560335\pi$
$197$	11.3860	−	13.4046i	0.811219	−	0.955041i	0.999634	+	0.0270482i	$0.00861075\pi$
$198$	0.439597	−	0.829168i	0.0312408	−	0.0589264i
$199$	−6.48964	−	2.18661i	−0.460038	−	0.155005i	0.0797337	−	0.996816i	$-0.474593\pi$
$199$	−6.48964	−	2.18661i	−0.460038	−	0.155005i	−0.539772	+	0.841811i	$0.681490\pi$
$200$	−0.165971	−	3.06116i	−0.0117359	−	0.216456i
$201$	6.03511	+	3.63121i	0.425684	+	0.256126i
$202$	4.78282	−	17.2262i	0.336518	−	1.21203i
$203$	−0.710305	−	2.55829i	−0.0498537	−	0.179557i
$204$	−2.97602	+	1.79061i	−0.208363	+	0.125368i
$205$	8.88310	+	13.1016i	0.620423	+	0.915055i
$206$	8.25625	+	0.897921i	0.575240	+	0.0625611i
$207$	0.0416371	+	0.00452830i	0.00289398	+	0.000314739i
$208$	−0.801625	−	1.18231i	−0.0555827	−	0.0819784i
$209$	2.04626	−	1.23120i	0.141543	−	0.0851636i
$210$	−1.50367	−	5.41573i	−0.103763	−	0.373721i
$211$	5.78092	−	20.8210i	0.397975	−	1.43338i	−0.445052	−	0.895505i	$-0.646815\pi$
$211$	5.78092	−	20.8210i	0.397975	−	1.43338i	0.843027	−	0.537872i	$-0.180771\pi$
$212$	0.362093	+	0.217864i	0.0248686	+	0.0149630i
$213$	0.103362	+	1.90640i	0.00708223	+	0.130624i
$214$	12.6373	+	4.25802i	0.863871	+	0.291072i
$215$	−14.0603	+	26.5206i	−0.958907	+	1.80869i
$216$	0.647386	−	0.762162i	0.0440491	−	0.0518586i
$217$	−0.221039	+	0.326007i	−0.0150051	+	0.0221308i
$218$	0.390931	−	7.21030i	0.0264772	−	0.488343i
$219$	1.25492	−	3.14961i	0.0847996	−	0.212831i
$220$	−2.41898	+	1.11914i	−0.163088	+	0.0754524i
$221$	−4.84525	−	1.06652i	−0.325927	−	0.0717419i
$222$	0.493484	+	0.930810i	0.0331205	+	0.0624719i
$223$	−0.538796	−	3.28651i	−0.0360804	−	0.220081i	0.962632	−	0.270813i	$-0.0872927\pi$
$223$	−0.538796	−	3.28651i	−0.0360804	−	0.220081i	−0.998712	+	0.0507326i	$0.983844\pi$
$224$	1.57553	+	1.19769i	0.105270	+	0.0800239i
$225$	2.78231	+	1.28723i	0.185487	+	0.0858156i
$226$	2.68885	−	2.54701i	0.178860	−	0.169425i
$227$	1.91339	−	11.6712i	0.126996	−	0.774643i	−0.844141	−	0.536121i	$-0.819889\pi$
$227$	1.91339	−	11.6712i	0.126996	−	0.774643i	0.971137	−	0.238522i	$-0.0766628\pi$
$228$	2.41142	−	0.812501i	0.159700	−	0.0538092i
$229$	−1.22227	−	3.06767i	−0.0807699	−	0.202717i	0.883046	−	0.469287i	$-0.155489\pi$
$229$	−1.22227	−	3.06767i	−0.0807699	−	0.202717i	−0.963816	+	0.266570i	$0.914110\pi$
$230$	−0.0863549	−	0.0817997i	−0.00569408	−	0.00539371i
$231$	−1.47862	+	1.12402i	−0.0972862	+	0.0739551i
$232$	−1.31020	+	0.288397i	−0.0860189	+	0.0189342i
$233$	−7.28964	−	8.58203i	−0.477560	−	0.562228i	0.469645	−	0.882855i	$-0.344382\pi$
$233$	−7.28964	−	8.58203i	−0.477560	−	0.562228i	−0.947205	+	0.320628i	$0.896106\pi$
$234$	1.42007	−	0.154442i	0.0928330	−	0.0100962i
$235$	33.2199			2.16703
$236$	0.622848	+	7.65585i	0.0405439	+	0.498353i
$237$	8.49642			0.551902
$238$	6.83340	−	0.743177i	0.442943	−	0.0481730i
$239$	−6.28704	−	7.40168i	−0.406675	−	0.478775i	0.520254	−	0.854012i	$-0.325837\pi$
$239$	−6.28704	−	7.40168i	−0.406675	−	0.478775i	−0.926929	+	0.375237i	$0.877561\pi$
$240$	−2.77361	+	0.610518i	−0.179036	+	0.0394088i
$241$	19.0250	−	14.4624i	1.22551	−	0.931608i	0.226410	−	0.974032i	$-0.427301\pi$
$241$	19.0250	−	14.4624i	1.22551	−	0.931608i	0.999100	+	0.0424239i	$0.0135080\pi$
$242$	−7.34652	−	6.95899i	−0.472252	−	0.447341i
$243$	0.370138	+	0.928977i	0.0237444	+	0.0595939i
$244$	−13.0248	+	4.38855i	−0.833824	+	0.280948i
$245$	1.41663	−	8.64109i	0.0905054	−	0.552059i
$246$	4.04642	−	3.83298i	0.257991	−	0.244382i
$247$	3.29890	+	1.52623i	0.209904	+	0.0971120i
$248$	0.158439	+	0.120442i	0.0100609	+	0.00764807i
$249$	1.37937	+	8.41378i	0.0874140	+	0.533202i
$250$	2.57323	+	4.85363i	0.162746	+	0.306971i
$251$	−30.1241	−	6.63082i	−1.90142	−	0.418533i	−0.901518	−	0.432742i	$-0.857546\pi$
$251$	−30.1241	−	6.63082i	−1.90142	−	0.418533i	−0.999899	+	0.0142086i	$0.995477\pi$
$252$	−1.79616	+	0.830994i	−0.113148	+	0.0523477i
$253$	−0.0145488	+	0.0365148i	−0.000914676	+	0.00229566i
$254$	1.06993	−	19.7337i	0.0671333	−	1.23820i
$255$	−5.53547	+	8.16420i	−0.346644	+	0.511262i
$256$	0.647386	−	0.762162i	0.0404616	−	0.0476351i
$257$	1.37945	−	2.60191i	0.0860474	−	0.162303i	−0.836754	−	0.547580i	$-0.815549\pi$
$257$	1.37945	−	2.60191i	0.0860474	−	0.162303i	0.922801	+	0.385277i	$0.125894\pi$
$258$	10.0161	+	3.37483i	0.623578	+	0.210108i
$259$	−0.112881	−	2.08197i	−0.00701410	−	0.129367i
$260$	−3.47610	−	2.09150i	−0.215578	−	0.129709i
$261$	0.358907	−	1.29267i	0.0222158	−	0.0800140i
$262$	−2.34648	−	8.45124i	−0.144966	−	0.522120i
$263$	−9.74362	+	5.86254i	−0.600817	+	0.361500i	−0.783239	−	0.621721i	$-0.786434\pi$
$263$	−9.74362	+	5.86254i	−0.600817	+	0.361500i	0.182422	+	0.983220i	$0.441606\pi$
$264$	0.526669	+	0.776779i	0.0324142	+	0.0478074i
$265$	1.19310	+	0.129758i	0.0732917	+	0.00797096i
$266$	−5.00649	−	0.544488i	−0.306967	−	0.0333847i
$267$	−5.53052	−	8.15690i	−0.338462	−	0.499194i
$268$	−6.03511	+	3.63121i	−0.368653	+	0.221811i
$269$	6.05399	+	21.8045i	0.369118	+	1.32944i	0.882107	+	0.471048i	$0.156124\pi$
$269$	6.05399	+	21.8045i	0.369118	+	1.32944i	−0.512989	+	0.858395i	$0.671462\pi$
$270$	0.759783	−	2.73649i	0.0462389	−	0.166538i
$271$	−17.1052	−	10.2919i	−1.03907	−	0.625186i	−0.109557	−	0.993981i	$-0.534943\pi$
$271$	−17.1052	−	10.2919i	−1.03907	−	0.625186i	−0.929511	+	0.368794i	$0.879771\pi$
$272$	−0.188034	−	3.46808i	−0.0114012	−	0.210283i
$273$	−2.67902	−	0.902668i	−0.162142	−	0.0546319i
$274$	−1.92705	+	3.63479i	−0.116417	+	0.219586i
$275$	−1.86259	+	2.19281i	−0.112318	+	0.132231i
$276$	−0.0235040	+	0.0346658i	−0.00141477	+	0.00208663i
$277$	−1.26536	+	23.3383i	−0.0760283	+	1.40226i	0.672961	+	0.739678i	$0.265022\pi$
$277$	−1.26536	+	23.3383i	−0.0760283	+	1.40226i	−0.748989	+	0.662582i	$0.769461\pi$
$278$	1.70875	−	4.28864i	0.102484	−	0.257215i
$279$	−0.180626	+	0.0835664i	−0.0108138	+	0.00500299i
$280$	5.48920	+	1.20826i	0.328042	+	0.0722076i
$281$	−12.7201	−	23.9926i	−0.758817	−	1.43128i	−0.897532	−	0.440949i	$-0.854642\pi$
$281$	−12.7201	−	23.9926i	−0.758817	−	1.43128i	0.138715	−	0.990332i	$-0.455703\pi$
$282$	−1.89238	−	11.5430i	−0.112690	−	0.687377i
$283$	10.2947	+	7.82584i	0.611957	+	0.465198i	0.864668	−	0.502344i	$-0.167529\pi$
$283$	10.2947	+	7.82584i	0.611957	+	0.465198i	−0.252710	+	0.967542i	$0.581322\pi$
$284$	−1.73274	−	0.801651i	−0.102819	−	0.0475692i
$285$	5.24658	−	4.96983i	0.310781	−	0.294387i
$286$	−0.216882	+	1.32292i	−0.0128245	+	0.0782261i
$287$	−10.4532	+	3.52210i	−0.617034	+	0.207903i
$288$	0.370138	+	0.928977i	0.0218106	+	0.0547405i
$289$	3.58428	+	3.39521i	0.210840	+	0.199718i
$290$	−3.03316	+	2.30575i	−0.178113	+	0.135398i
$291$	9.90329	−	2.17988i	0.580541	−	0.127787i
$292$	2.19490	+	2.58404i	0.128447	+	0.151220i
$293$	33.6736	−	3.66223i	1.96723	−	0.213950i	0.967928	−	0.251226i	$-0.0808338\pi$
$293$	33.6736	−	3.66223i	1.96723	−	0.213950i	0.999305	+	0.0372768i	$0.0118683\pi$
$294$	−3.08324			−0.179818
$295$	10.7349	+	18.9904i	0.625011	+	1.10566i
$296$	−1.05353			−0.0612355
$297$	−0.932990	+	0.101469i	−0.0541376	+	0.00588781i
$298$	−3.13331	−	3.68882i	−0.181508	−	0.213687i
$299$	−0.0584283	+	0.0128610i	−0.00337899	+	0.000743773i
$300$	−2.44054	+	1.85525i	−0.140905	+	0.107113i
$301$	−15.1862	−	14.3851i	−0.875316	−	0.829144i
$302$	4.18199	+	10.4960i	0.240647	+	0.603977i
$303$	−16.9420	+	5.70842i	−0.973291	+	0.327940i
$304$	−0.411674	+	2.51110i	−0.0236111	+	0.144021i
$305$	−28.3383	+	26.8435i	−1.62265	+	1.53705i
$306$	3.15217	+	1.45835i	0.180197	+	0.0833682i
$307$	20.6267	+	15.6800i	1.17723	+	0.894908i	0.996072	−	0.0885463i	$-0.0282221\pi$
$307$	20.6267	+	15.6800i	1.17723	+	0.894908i	0.181159	+	0.983454i	$0.442015\pi$
$308$	−0.300486	−	1.83288i	−0.0171218	−	0.104438i
$309$	−3.89010	−	7.33751i	−0.221300	−	0.417416i
$310$	0.552005	+	0.121505i	0.0313517	+	0.00690104i
$311$	−18.9561	+	8.77002i	−1.07490	+	0.497302i	−0.875799	−	0.482676i	$-0.839665\pi$
$311$	−18.9561	+	8.77002i	−1.07490	+	0.497302i	−0.199103	+	0.979979i	$0.563803\pi$
$312$	−0.528722	+	1.32699i	−0.0299330	+	0.0751262i
$313$	−1.05900	+	19.5322i	−0.0598585	+	1.10402i	0.802147	+	0.597126i	$0.203691\pi$
$313$	−1.05900	+	19.5322i	−0.0598585	+	1.10402i	−0.862006	+	0.506898i	$0.830792\pi$
$314$	−4.81431	+	7.10057i	−0.271687	+	0.400708i
$315$	−3.63870	+	4.28381i	−0.205018	+	0.241365i
$316$	−3.97979	+	7.50669i	−0.223881	+	0.422284i
$317$	5.15215	+	1.73596i	0.289374	+	0.0975013i	0.460245	−	0.887792i	$-0.347762\pi$
$317$	5.15215	+	1.73596i	0.289374	+	0.0975013i	−0.170871	+	0.985293i	$0.554658\pi$
$318$	−0.0228782	−	0.421963i	−0.00128294	−	0.0236625i
$319$	1.07882	+	0.649107i	0.0604025	+	0.0363430i
$320$	0.759783	−	2.73649i	0.0424732	−	0.152974i
$321$	−3.56760	−	12.8493i	−0.199124	−	0.717180i
$322$	0.0710240	−	0.0427337i	0.00395801	−	0.00238146i
$323$	4.95972	+	7.31504i	0.275966	+	0.407020i
$324$	−0.994138	−	0.108119i	−0.0552299	−	0.00600661i
$325$	−4.35345	−	0.473466i	−0.241486	−	0.0262632i
$326$	2.48775	+	3.66915i	0.137783	+	0.203215i
$327$	−6.18727	+	3.72276i	−0.342157	+	0.205869i
$328$	1.49110	+	5.37046i	0.0823323	+	0.296534i
$329$	−6.19315	+	22.3057i	−0.341440	+	1.22975i
$330$	2.28380	+	1.37412i	0.125719	+	0.0756427i
$331$	−0.708648	−	13.0702i	−0.0389508	−	0.718405i	−0.951163	−	0.308688i	$-0.900110\pi$
$331$	−0.708648	−	13.0702i	−0.0389508	−	0.718405i	0.912213	−	0.409717i	$-0.134373\pi$
$332$	−8.07978	−	2.72240i	−0.443436	−	0.149411i
$333$	0.493484	−	0.930810i	0.0270428	−	0.0510081i
$334$	3.36653	−	3.96338i	0.184208	−	0.216867i
$335$	−11.2255	+	16.5563i	−0.613313	+	0.904568i
$336$	0.107145	−	1.97618i	0.00584525	−	0.107809i
$337$	4.46132	−	11.1971i	0.243023	−	0.609943i	−0.755979	−	0.654596i	$-0.772839\pi$
$337$	4.46132	−	11.1971i	0.243023	−	0.609943i	0.999003	+	0.0446530i	$0.0142182\pi$
$338$	9.94661	−	4.60179i	0.541024	−	0.250305i
$339$	−3.61708	−	0.796180i	−0.196453	−	0.0432426i
$340$	−4.62031	−	8.71483i	−0.250572	−	0.472628i
$341$	−0.0302174	−	0.184318i	−0.00163637	−	0.00998139i
$342$	−2.02575	−	1.53994i	−0.109540	−	0.0832703i
$343$	18.1112	+	8.37911i	0.977911	+	0.452430i
$344$	−7.67335	+	7.26858i	−0.413719	+	0.391896i
$345$	−0.0192435	+	0.117380i	−0.00103603	+	0.00631953i
$346$	−1.09805	+	0.369978i	−0.0590318	+	0.0198901i
$347$	−10.7496	−	26.9794i	−0.577067	−	1.44833i	−0.870413	−	0.492322i	$-0.836148\pi$
$347$	−10.7496	−	26.9794i	−0.577067	−	1.44833i	0.293347	−	0.956006i	$-0.405231\pi$
$348$	0.973971	+	0.922594i	0.0522103	+	0.0494562i
$349$	−25.8606	+	19.6587i	−1.38429	+	1.05231i	−0.393146	+	0.919476i	$0.628613\pi$
$349$	−25.8606	+	19.6587i	−1.38429	+	1.05231i	−0.991139	+	0.132830i	$0.957593\pi$
$350$	5.92532	−	1.30426i	0.316722	−	0.0697157i
$351$	−0.924756	−	1.08871i	−0.0493598	−	0.0581109i
$352$	−0.932990	+	0.101469i	−0.0497285	+	0.00540830i
$353$	9.82661			0.523017			0.261509	−	0.965201i	$-0.415780\pi$
$353$	9.82661			0.523017			0.261509	+	0.965201i	$0.415780\pi$
$354$	5.98713	−	4.81189i	0.318212	−	0.255749i
$355$	−5.42214			−0.287777
$356$	9.79726	−	1.06552i	0.519254	−	0.0564722i
$357$	−4.44993	−	5.23887i	−0.235515	−	0.277270i
$358$	−15.4991	+	3.41161i	−0.819152	+	0.180309i
$359$	−7.41887	+	5.63968i	−0.391553	+	0.297651i	−0.782366	−	0.622820i	$-0.785987\pi$
$359$	−7.41887	+	5.63968i	−0.391553	+	0.297651i	0.390813	+	0.920470i	$0.372194\pi$
$360$	2.06183	+	1.95307i	0.108668	+	0.102936i
$361$	4.63595	+	11.6353i	0.243997	+	0.612387i
$362$	−2.16205	+	0.728478i	−0.113635	+	0.0382879i
$363$	−1.63711	+	9.98593i	−0.0859260	+	0.524125i
$364$	2.05239	−	1.94413i	0.107575	−	0.101900i
$365$	8.73886	+	4.04303i	0.457413	+	0.211622i
$366$	10.9417	+	8.31765i	0.571931	+	0.434770i
$367$	4.02355	+	24.5426i	0.210028	+	1.28111i	0.855690	+	0.517488i	$0.173133\pi$
$367$	4.02355	+	24.5426i	0.210028	+	1.28111i	−0.645663	+	0.763623i	$0.723419\pi$
$368$	−0.0196182	−	0.0370038i	−0.00102267	−	0.00192895i
$369$	−5.44331	−	1.19816i	−0.283367	−	0.0623739i
$370$	−2.71551	+	1.25633i	−0.141173	+	0.0653134i
$371$	−0.309556	+	0.776926i	−0.0160713	+	0.0403360i
$372$	0.0107747	−	0.198728i	0.000558644	−	0.0103036i
$373$	14.9776	−	22.0903i	0.775509	−	1.14379i	−0.210581	−	0.977576i	$-0.567536\pi$
$373$	14.9776	−	22.0903i	0.775509	−	1.14379i	0.986090	−	0.166213i	$-0.0531541\pi$
$374$	−2.11018	+	2.48430i	−0.109115	+	0.128460i
$375$	2.57323	−	4.85363i	0.132881	−	0.250640i
$376$	11.0848	+	3.73491i	0.571655	+	0.192613i
$377$	0.103749	+	1.91354i	0.00534336	+	0.0985525i
$378$	1.69579	+	1.02032i	0.0872220	+	0.0524797i
$379$	3.96325	−	14.2743i	0.203578	−	0.733223i	−0.789291	−	0.614019i	$-0.789552\pi$
$379$	3.96325	−	14.2743i	0.203578	−	0.733223i	0.992870	−	0.119204i	$-0.0380343\pi$
$380$	1.93336	+	6.96333i	0.0991792	+	0.357211i
$381$	−16.9338	+	10.1887i	−0.867544	+	0.521984i
$382$	−7.91236	−	11.6699i	−0.404832	−	0.597082i
$383$	13.0513	+	1.41941i	0.666888	+	0.0725284i	0.435300	−	0.900286i	$-0.356642\pi$
$383$	13.0513	+	1.41941i	0.666888	+	0.0725284i	0.231588	+	0.972814i	$0.425608\pi$
$384$	−0.994138	−	0.108119i	−0.0507319	−	0.00551743i
$385$	−2.96020	−	4.36597i	−0.150866	−	0.222510i
$386$	1.93606	−	1.16489i	0.0985427	−	0.0592911i
$387$	−2.82762	−	10.1842i	−0.143736	−	0.517690i
$388$	−2.71283	+	9.77075i	−0.137723	+	0.496035i
$389$	6.47840	+	3.89792i	0.328468	+	0.197633i	0.670229	−	0.742154i	$-0.266196\pi$
$389$	6.47840	+	3.89792i	0.328468	+	0.197633i	−0.341761	+	0.939787i	$0.611023\pi$
$390$	0.219631	+	4.05085i	0.0111214	+	0.205123i
$391$	−0.137851	−	0.0464474i	−0.00697142	−	0.00234894i
$392$	1.44422	−	2.72408i	0.0729440	−	0.137587i
$393$	−5.67819	+	6.68488i	−0.286427	+	0.337208i
$394$	9.86997	−	14.5571i	0.497242	−	0.733377i
$395$	−1.30637	+	24.0945i	−0.0657304	+	1.21233i
$396$	0.347371	−	0.871836i	0.0174561	−	0.0438114i
$397$	−33.3810	+	15.4437i	−1.67535	+	0.775097i	−0.676078	+	0.736830i	$0.736322\pi$
$397$	−33.3810	+	15.4437i	−1.67535	+	0.775097i	−0.999268	+	0.0382676i	$0.987816\pi$
$398$	−6.68801	−	1.47214i	−0.335240	−	0.0737918i
$399$	2.35891	+	4.44937i	0.118093	+	0.222747i
$400$	−0.495967	−	3.02527i	−0.0247984	−	0.151263i
$401$	−14.1663	−	10.7689i	−0.707432	−	0.537776i	0.188442	−	0.982084i	$-0.439656\pi$
$401$	−14.1663	−	10.7689i	−0.707432	−	0.537776i	−0.895874	+	0.444309i	$0.853449\pi$
$402$	6.39234	+	2.95741i	0.318821	+	0.147502i
$403$	0.206393	−	0.195506i	0.0102812	−	0.00973883i
$404$	2.89231	−	17.6423i	0.143898	−	0.877738i
$405$	−2.69134	+	0.906819i	−0.133734	+	0.0450602i
$406$	−0.982741	−	2.46649i	−0.0487726	−	0.122410i
$407$	0.717816	+	0.679951i	0.0355808	+	0.0337039i
$408$	−2.76497	+	2.10188i	−0.136886	+	0.104058i
$409$	−0.279054	+	0.0614244i	−0.0137983	+	0.00303724i	−0.221864	−	0.975078i	$-0.571214\pi$
$409$	−0.279054	+	0.0614244i	−0.0137983	+	0.00303724i	0.208066	+	0.978115i	$0.433283\pi$
$410$	10.2476	+	12.0644i	0.506091	+	0.595816i
$411$	4.08991	−	0.444805i	0.201740	−	0.0219406i
$412$	8.30493			0.409155
$413$	−14.7525	+	3.66767i	−0.725924	+	0.180474i
$414$	0.0418826			0.00205842
$415$	−24.0722	+	2.61801i	−1.18166	+	0.128513i
$416$	−0.924756	−	1.08871i	−0.0453399	−	0.0533783i
$417$	−4.50858	+	0.992414i	−0.220786	+	0.0485987i
$418$	1.90115	−	1.44522i	0.0929884	−	0.0706880i
$419$	−8.48520	−	8.03761i	−0.414529	−	0.392663i	0.451814	−	0.892112i	$-0.350777\pi$
$419$	−8.48520	−	8.03761i	−0.414529	−	0.392663i	−0.866343	+	0.499449i	$0.833536\pi$
$420$	−2.08040	−	5.22141i	−0.101513	−	0.254779i
$421$	−22.4977	+	7.58036i	−1.09647	+	0.369444i	−0.808680	−	0.588249i	$-0.799817\pi$
$421$	−22.4977	+	7.58036i	−1.09647	+	0.369444i	−0.287791	+	0.957693i	$0.592921\pi$
$422$	3.49589	−	21.3240i	0.170177	−	1.03803i
$423$	−8.49205	+	8.04410i	−0.412898	+	0.391117i
$424$	0.383525	+	0.177438i	0.0186256	+	0.00861714i
$425$	−8.47644	−	6.44362i	−0.411168	−	0.312562i
$426$	0.308874	+	1.88405i	0.0149650	+	0.0912823i
$427$	−12.7411	−	24.0323i	−0.616587	−	1.16301i
$428$	13.0236	+	2.86672i	0.629521	+	0.138568i
$429$	1.21668	−	0.562896i	0.0587419	−	0.0271769i
$430$	−11.1105	+	27.8853i	−0.535797	+	1.34475i
$431$	−0.334319	+	6.16615i	−0.0161036	+	0.297013i	0.979377	+	0.202043i	$0.0647582\pi$
$431$	−0.334319	+	6.16615i	−0.0161036	+	0.297013i	−0.995480	+	0.0949696i	$0.969725\pi$
$432$	0.561187	−	0.827689i	0.0270001	−	0.0398222i
$433$	−19.9468	+	23.4832i	−0.958583	+	1.12853i	0.0330514	+	0.999454i	$0.489477\pi$
$433$	−19.9468	+	23.4832i	−0.958583	+	1.12853i	−0.991634	+	0.129078i	$0.958798\pi$
$434$	−0.184495	+	0.347995i	−0.00885605	+	0.0167043i
$435$	3.61061	+	1.21656i	0.173116	+	0.0583295i
$436$	−0.390931	−	7.21030i	−0.0187222	−	0.345311i
$437$	0.0913198	+	0.0549453i	0.00436842	+	0.00262839i
$438$	0.907031	−	3.26683i	0.0433396	−	0.156095i
$439$	−2.77587	−	9.99777i	−0.132485	−	0.477167i	0.867303	−	0.497781i	$-0.165852\pi$
$439$	−2.77587	−	9.99777i	−0.132485	−	0.477167i	−0.999788	+	0.0206138i	$0.993438\pi$
$440$	−2.28380	+	1.37412i	−0.108876	+	0.0655085i
$441$	1.73028	+	2.55197i	0.0823941	+	0.121522i
$442$	−4.93216	−	0.536405i	−0.234599	−	0.0255142i
$443$	19.9208	+	2.16652i	0.946465	+	0.102934i	0.568316	−	0.822810i	$-0.307595\pi$
$443$	19.9208	+	2.16652i	0.946465	+	0.102934i	0.378149	+	0.925745i	$0.376561\pi$
$444$	0.591230	+	0.871999i	0.0280585	+	0.0413832i
$445$	23.9820	−	14.4295i	1.13686	−	0.684025i
$446$	−0.890971	−	3.20899i	−0.0421887	−	0.151950i
$447$	−1.29482	+	4.66352i	−0.0612429	+	0.220577i
$448$	1.69579	+	1.02032i	0.0801185	+	0.0482057i
$449$	−0.135319	−	2.49581i	−0.00638610	−	0.117785i	−0.999988	−	0.00484765i	$-0.998457\pi$
$449$	−0.135319	−	2.49581i	−0.00638610	−	0.117785i	0.993602	−	0.112937i	$-0.0360258\pi$
$450$	2.90517	+	0.978867i	0.136951	+	0.0461443i
$451$	2.45015	−	4.62147i	0.115373	−	0.217616i
$452$	2.39771	−	2.82280i	0.112779	−	0.132773i
$453$	6.34055	−	9.35161i	0.297905	−	0.439377i
$454$	0.640300	−	11.8096i	0.0300508	−	0.554254i
$455$	2.97174	−	7.45850i	0.139317	−	0.349660i
$456$	2.30943	−	1.06846i	0.108149	−	0.0500351i
$457$	−12.3470	−	2.71778i	−0.577568	−	0.127132i	−0.0834269	−	0.996514i	$-0.526587\pi$
$457$	−12.3470	−	2.71778i	−0.577568	−	0.127132i	−0.494142	+	0.869381i	$0.664518\pi$
$458$	−1.54678	−	2.91753i	−0.0722762	−	0.136327i
$459$	−0.561897	−	3.42742i	−0.0262271	−	0.159978i
$460$	−0.0946928	−	0.0719836i	−0.00441508	−	0.00335625i
$461$	31.7743	+	14.7003i	1.47987	+	0.684663i	0.983075	−	0.183202i	$-0.0586464\pi$
$461$	31.7743	+	14.7003i	1.47987	+	0.684663i	0.496799	+	0.867865i	$0.334508\pi$
$462$	−1.34843	+	1.27730i	−0.0627345	+	0.0594253i
$463$	0.610329	−	3.72284i	0.0283644	−	0.173015i	−0.968845	−	0.247667i	$-0.920336\pi$
$463$	0.610329	−	3.72284i	0.0283644	−	0.173015i	0.997210	+	0.0746516i	$0.0237845\pi$
$464$	−1.27134	+	0.428364i	−0.0590204	+	0.0198863i
$465$	−0.209209	−	0.525075i	−0.00970184	−	0.0243498i
$466$	−8.17479	−	7.74358i	−0.378690	−	0.358714i
$467$	34.1637	−	25.9706i	1.58091	−	1.20177i	0.718547	−	0.695478i	$-0.244808\pi$
$467$	34.1637	−	25.9706i	1.58091	−	1.20177i	0.862360	−	0.506296i	$-0.168986\pi$
$468$	1.39505	−	0.307074i	0.0644862	−	0.0141945i
$469$	−9.02410	−	10.6240i	−0.416694	−	0.490570i
$470$	33.0252	−	3.59170i	1.52334	−	0.165673i
$471$	8.57879			0.395290
$472$	1.44694	+	7.54363i	0.0666008	+	0.347224i
$473$	9.91931			0.456090
$474$	8.44661	−	0.918624i	0.387966	−	0.0421938i
$475$	5.05021	+	5.94557i	0.231719	+	0.272801i
$476$	6.71299	−	1.47764i	0.307689	−	0.0677275i
$477$	−0.336415	+	0.255736i	−0.0154034	+	0.0117093i
$478$	−7.05045	−	6.67854i	−0.322480	−	0.305469i
$479$	8.63464	+	21.6713i	0.394527	+	0.990188i	0.983317	+	0.181902i	$0.0582253\pi$
$479$	8.63464	+	21.6713i	0.394527	+	0.990188i	−0.588790	+	0.808286i	$0.700395\pi$
$480$	−2.69134	+	0.906819i	−0.122842	+	0.0413904i
$481$	−0.243468	+	1.48509i	−0.0111012	+	0.0677144i
$482$	17.3498	−	16.4346i	0.790263	−	0.748577i
$483$	−0.0752280	−	0.0348042i	−0.00342299	−	0.00158364i
$484$	−8.05585	−	6.12390i	−0.366175	−	0.278359i
$485$	4.65912	+	28.4193i	0.211560	+	1.29046i
$486$	0.468408	+	0.883512i	0.0212474	+	0.0400769i
$487$	25.4302	+	5.59761i	1.15235	+	0.253652i	0.749749	−	0.661723i	$-0.230174\pi$
$487$	25.4302	+	5.59761i	1.15235	+	0.253652i	0.402603	+	0.915375i	$0.368105\pi$
$488$	−12.4739	+	5.77105i	−0.564668	+	0.261243i
$489$	1.64082	−	4.11816i	0.0742006	−	0.186230i
$490$	0.474064	−	8.74360i	0.0214160	−	0.394995i
$491$	23.7070	−	34.9652i	1.06988	−	1.57796i	0.284779	−	0.958593i	$-0.408080\pi$
$491$	23.7070	−	34.9652i	1.06988	−	1.57796i	0.785103	−	0.619365i	$-0.212610\pi$
$492$	3.60829	−	4.24800i	0.162674	−	0.191515i
$493$	−2.18255	+	4.11672i	−0.0982969	+	0.185408i
$494$	3.44458	+	1.16061i	0.154979	+	0.0522185i
$495$	−0.144298	−	2.66141i	−0.00648570	−	0.119622i
$496$	0.170532	+	0.102606i	0.00765711	+	0.00460713i
$497$	1.01084	−	3.64073i	0.0453425	−	0.163309i
$498$	2.28097	+	8.21532i	0.102213	+	0.368137i
$499$	12.1574	−	7.31489i	0.544242	−	0.327459i	−0.216744	−	0.976229i	$-0.569544\pi$
$499$	12.1574	−	7.31489i	0.544242	−	0.327459i	0.760985	+	0.648769i	$0.224716\pi$
$500$	3.08292	+	4.54696i	0.137872	+	0.203346i
$501$	−5.16970	−	0.562239i	−0.230965	−	0.0251190i
$502$	−30.6644	−	3.33496i	−1.36862	−	0.148846i
$503$	−7.66759	−	11.3088i	−0.341881	−	0.504237i	0.617416	−	0.786637i	$-0.288180\pi$
$503$	−7.66759	−	11.3088i	−0.341881	−	0.504237i	−0.959297	+	0.282400i	$0.908869\pi$
$504$	−1.69579	+	1.02032i	−0.0755364	+	0.0454488i
$505$	−13.5833	−	48.9225i	−0.604447	−	2.17702i
$506$	−0.0105156	+	0.0378737i	−0.000467475	+	0.00168369i
$507$	−9.39076	−	5.65023i	−0.417058	−	0.250936i
$508$	−1.06993	−	19.7337i	−0.0474704	−	0.875541i
$509$	30.0226	+	10.1158i	1.33073	+	0.448375i	0.892727	−	0.450598i	$-0.148789\pi$
$509$	30.0226	+	10.1158i	1.33073	+	0.448375i	0.438003	+	0.898974i	$0.355686\pi$
$510$	−4.62031	+	8.71483i	−0.204591	+	0.385899i
$511$	−4.34389	+	5.11402i	−0.192162	+	0.226231i
$512$	0.561187	−	0.827689i	0.0248012	−	0.0365790i
$513$	−0.137763	+	2.54089i	−0.00608238	+	0.112183i
$514$	1.09004	−	2.73580i	0.0480797	−	0.120671i
$515$	21.4062	−	9.90354i	0.943268	−	0.436402i
$516$	10.3223	+	2.27211i	0.454414	+	0.100024i
$517$	−5.14202	−	9.69887i	−0.226146	−	0.426556i
$518$	−0.337320	−	2.05756i	−0.0148210	−	0.0904041i
$519$	0.922441	+	0.701221i	0.0404906	+	0.0307802i
$520$	−3.68185	−	1.70341i	−0.161460	−	0.0746993i
$521$	13.6586	−	12.9381i	0.598394	−	0.566829i	−0.327386	−	0.944891i	$-0.606168\pi$
$521$	13.6586	−	12.9381i	0.598394	−	0.566829i	0.925781	+	0.378061i	$0.123409\pi$
$522$	0.217041	−	1.32389i	0.00949963	−	0.0579452i
$523$	12.3924	−	4.17547i	0.541880	−	0.182581i	−0.0350329	−	0.999386i	$-0.511154\pi$
$523$	12.3924	−	4.17547i	0.541880	−	0.182581i	0.576913	+	0.816805i	$0.304257\pi$
$524$	−3.24646	−	8.14800i	−0.141822	−	0.355947i
$525$	−4.40474	−	4.17239i	−0.192239	−	0.182098i
$526$	−9.05265	+	6.88164i	−0.394714	+	0.300054i
$527$	0.675071	−	0.148594i	0.0294066	−	0.00647287i
$528$	0.607566	+	0.715282i	0.0264409	+	0.0311287i
$529$	22.8634	−	2.48655i	0.994062	−	0.108111i
$530$	1.20014			0.0521307
$531$	−7.34265	−	2.25511i	−0.318644	−	0.0978635i
$532$	−5.03601			−0.218339
$533$	7.91494	−	0.860802i	0.342834	−	0.0372855i
$534$	−6.38001	−	7.51113i	−0.276090	−	0.325038i
$535$	36.9872	−	8.14151i	1.59910	−	0.351988i
$536$	−5.60713	+	4.26243i	−0.242191	+	0.184109i
$537$	11.5216	+	10.9139i	0.497195	+	0.470968i
$538$	8.37598	+	21.0221i	0.361114	+	0.906328i
$539$	−2.74213	+	0.923930i	−0.118112	+	0.0397965i
$540$	0.459462	−	2.80260i	0.0197721	−	0.120605i
$541$	−32.2725	+	30.5702i	−1.38750	+	1.31431i	−0.491082	+	0.871113i	$0.663399\pi$
$541$	−32.2725	+	30.5702i	−1.38750	+	1.31431i	−0.896422	+	0.443201i	$0.853843\pi$
$542$	−18.1177	−	8.38214i	−0.778221	−	0.360044i
$543$	1.81626	+	1.38069i	0.0779434	+	0.0592510i
$544$	−0.561897	−	3.42742i	−0.0240911	−	0.146949i
$545$	−9.60584	−	18.1185i	−0.411469	−	0.776113i
$546$	−2.76091	−	0.607723i	−0.118156	−	0.0260081i
$547$	10.4226	−	4.82200i	0.445637	−	0.206174i	−0.184219	−	0.982885i	$-0.558976\pi$
$547$	10.4226	−	4.82200i	0.445637	−	0.206174i	0.629857	+	0.776711i	$0.283114\pi$
$548$	−1.52276	+	3.82184i	−0.0650490	+	0.163261i
$549$	0.744097	−	13.7241i	0.0317573	−	0.585729i
$550$	−1.61458	+	2.38133i	−0.0688461	+	0.101540i
$551$	2.21003	−	2.60185i	0.0941505	−	0.110843i
$552$	−0.0196182	+	0.0370038i	−0.000835004	+	0.00157498i
$553$	−15.9349	−	5.36908i	−0.677620	−	0.228317i
$554$	1.26536	+	23.3383i	0.0537602	+	0.991548i
$555$	2.56376	+	1.54256i	0.108825	+	0.0654781i
$556$	1.23505	−	4.44824i	0.0523777	−	0.188648i
$557$	7.01836	+	25.2779i	0.297378	+	1.07106i	0.949712	+	0.313126i	$0.101376\pi$
$557$	7.01836	+	25.2779i	0.297378	+	1.07106i	−0.652334	+	0.757931i	$0.726210\pi$
$558$	−0.170532	+	0.102606i	−0.00721919	+	0.00434364i
$559$	8.47271	+	12.4963i	0.358358	+	0.528538i
$560$	5.58766	+	0.607694i	0.236122	+	0.0256798i
$561$	3.24044	+	0.352419i	0.136811	+	0.0148791i
$562$	−15.2396	−	22.4767i	−0.642843	−	0.948123i
$563$	−1.31099	+	0.788796i	−0.0552516	+	0.0332438i	−0.542912	−	0.839790i	$-0.682678\pi$
$563$	−1.31099	+	0.788796i	−0.0552516	+	0.0332438i	0.487660	+	0.873034i	$0.337851\pi$
$564$	−3.12931	−	11.2708i	−0.131768	−	0.474584i
$565$	2.81399	−	10.1351i	0.118385	−	0.426385i
$566$	11.0805	+	6.66691i	0.465748	+	0.280231i
$567$	−0.107145	−	1.97618i	−0.00449968	−	0.0829916i
$568$	−1.80926	−	0.609609i	−0.0759147	−	0.0255786i
$569$	5.20337	−	9.81460i	0.218137	−	0.411450i	−0.750159	−	0.661258i	$-0.770023\pi$
$569$	5.20337	−	9.81460i	0.218137	−	0.411450i	0.968295	+	0.249808i	$0.0803677\pi$
$570$	4.67850	−	5.50795i	0.195961	−	0.230703i
$571$	18.1364	−	26.7491i	0.758983	−	1.11942i	−0.230259	−	0.973129i	$-0.573957\pi$
$571$	18.1364	−	26.7491i	0.758983	−	1.11942i	0.989242	−	0.146287i	$-0.0467323\pi$
$572$	−0.0725777	+	1.33862i	−0.00303463	+	0.0559704i
$573$	−5.21870	+	13.0979i	−0.218014	+	0.547175i
$574$	−10.0111	+	4.63164i	−0.417857	+	0.193321i
$575$	−0.125396	−	0.0276016i	−0.00522936	−	0.00115107i
$576$	0.468408	+	0.883512i	0.0195170	+	0.0368130i
$577$	2.67212	+	16.2992i	0.111242	+	0.678545i	0.982293	+	0.187352i	$0.0599906\pi$
$577$	2.67212	+	16.2992i	0.111242	+	0.678545i	−0.871051	+	0.491193i	$0.836561\pi$
$578$	3.93035	+	2.98778i	0.163481	+	0.124275i
$579$	−2.05065	−	0.948733i	−0.0852222	−	0.0394280i
$580$	−2.76609	+	2.62018i	−0.114855	+	0.108797i
$581$	2.72988	−	16.6515i	0.113255	−	0.690822i
$582$	9.60955	−	3.23783i	0.398329	−	0.134213i
$583$	−0.146793	−	0.368423i	−0.00607955	−	0.0152585i
$584$	2.46142	+	2.33158i	0.101854	+	0.0964816i
$585$	3.22959	−	2.45507i	0.133527	−	0.101505i
$586$	33.0803	−	7.28152i	1.36653	−	0.300797i
$587$	−14.9160	−	17.5605i	−0.615650	−	0.724799i	0.362666	−	0.931919i	$-0.381867\pi$
$587$	−14.9160	−	17.5605i	−0.615650	−	0.724799i	−0.978315	+	0.207120i	$0.933591\pi$
$588$	−3.06517	+	0.333357i	−0.126405	+	0.0137474i
$589$	−0.506431			−0.0208671
$590$	12.7252	+	17.7184i	0.523889	+	0.729456i
$591$	−17.5877			−0.723460
$592$	−1.04736	+	0.113907i	−0.0430462	+	0.00468155i
$593$	24.9111	+	29.3276i	1.02298	+	1.20434i	0.978695	+	0.205321i	$0.0658237\pi$
$593$	24.9111	+	29.3276i	1.02298	+	1.20434i	0.0442807	+	0.999019i	$0.485900\pi$
$594$	−0.916550	+	0.201748i	−0.0376065	+	0.00827781i
$595$	15.5408	−	11.8138i	0.637111	−	0.484319i
$596$	−3.51377	−	3.32842i	−0.143930	−	0.136337i
$597$	2.53475	+	6.36174i	0.103740	+	0.260369i
$598$	−0.0566952	+	0.0191028i	−0.00231844	+	0.000781174i
$599$	−0.947925	+	5.78208i	−0.0387312	+	0.236250i	−0.999097	−	0.0424940i	$-0.986470\pi$
$599$	−0.947925	+	5.78208i	−0.0387312	+	0.236250i	0.960366	+	0.278744i	$0.0899179\pi$
$600$	−2.22565	+	2.10825i	−0.0908618	+	0.0860688i
$601$	−3.08151	−	1.42566i	−0.125697	−	0.0581538i	0.356032	−	0.934474i	$-0.384129\pi$
$601$	−3.08151	−	1.42566i	−0.125697	−	0.0581538i	−0.481730	+	0.876320i	$0.659991\pi$
$602$	−16.6525	−	12.6589i	−0.678703	−	0.515937i
$603$	−1.13948	−	6.95053i	−0.0464033	−	0.283047i
$604$	5.29229	+	9.98233i	0.215340	+	0.406175i
$605$	−28.0668	−	6.17797i	−1.14108	−	0.251170i
$606$	−16.2255	+	7.50670i	−0.659115	+	0.304939i
$607$	0.657263	−	1.64961i	0.0266775	−	0.0669554i	−0.915035	−	0.403375i	$-0.867837\pi$
$607$	0.657263	−	1.64961i	0.0266775	−	0.0669554i	0.941712	+	0.336420i	$0.109216\pi$
$608$	−0.137763	+	2.54089i	−0.00558703	+	0.103047i
$609$	−1.48999	+	2.19757i	−0.0603774	+	0.0890500i
$610$	−25.2699	+	29.7500i	−1.02315	+	1.20454i
$611$	7.82649	−	14.7623i	0.316626	−	0.597220i
$612$	3.29137	+	1.10899i	0.133046	+	0.0448283i
$613$	1.47004	+	27.1134i	0.0593745	+	1.09510i	0.864708	+	0.502276i	$0.167504\pi$
$613$	1.47004	+	27.1134i	0.0593745	+	1.09510i	−0.805333	+	0.592823i	$0.798014\pi$
$614$	22.2011	+	13.3580i	0.895965	+	0.539084i
$615$	4.23474	−	15.2522i	0.170761	−	0.615026i
$616$	−0.496893	−	1.78965i	−0.0200204	−	0.0721070i
$617$	−22.7044	+	13.6608i	−0.914046	+	0.549963i	−0.893120	−	0.449818i	$-0.851489\pi$
$617$	−22.7044	+	13.6608i	−0.914046	+	0.549963i	−0.0209258	+	0.999781i	$0.506661\pi$
$618$	−4.66062	−	6.87390i	−0.187478	−	0.276509i
$619$	17.2296	+	1.87384i	0.692518	+	0.0753159i	0.447608	−	0.894230i	$-0.352276\pi$
$619$	17.2296	+	1.87384i	0.692518	+	0.0753159i	0.244910	+	0.969546i	$0.421242\pi$
$620$	0.561906	+	0.0611109i	0.0225667	+	0.00245427i
$621$	−0.0235040	−	0.0346658i	−0.000943182	−	0.00139109i
$622$	−17.8968	+	10.7681i	−0.717595	+	0.431763i
$623$	5.21784	+	18.7930i	0.209048	+	0.752925i
$624$	−0.382150	+	1.37638i	−0.0152982	+	0.0550992i
$625$	26.5026	+	15.9461i	1.06010	+	0.637844i
$626$	1.05900	+	19.5322i	0.0423263	+	0.780663i
$627$	−2.26309	−	0.762525i	−0.0903793	−	0.0304523i
$628$	−4.01838	+	7.57946i	−0.160351	+	0.302454i
$629$	−2.36886	+	2.78884i	−0.0944526	+	0.111198i
$630$	−3.15421	+	4.65211i	−0.125667	+	0.185345i
$631$	−0.370351	+	6.83072i	−0.0147434	+	0.271927i	0.981862	+	0.189598i	$0.0607185\pi$
$631$	−0.370351	+	6.83072i	−0.0147434	+	0.271927i	−0.996605	+	0.0823286i	$0.973764\pi$
$632$	−3.14485	+	7.89297i	−0.125095	+	0.313966i
$633$	−19.6115	+	9.07323i	−0.779486	+	0.360628i
$634$	5.30964	+	1.16874i	0.210873	+	0.0464166i
$635$	−26.2900	−	49.5881i	−1.04329	−	1.96784i
$636$	−0.0683662	−	0.417016i	−0.00271090	−	0.0165357i
$637$	−3.50619	−	2.66534i	−0.138920	−	0.105604i
$638$	1.14268	+	0.528660i	0.0452392	+	0.0209299i
$639$	1.38607	−	1.31295i	0.0548320	−	0.0519396i
$640$	0.459462	−	2.80260i	0.0181618	−	0.110782i
$641$	−13.4683	+	4.53799i	−0.531964	+	0.179240i	−0.572449	−	0.819940i	$-0.694006\pi$
$641$	−13.4683	+	4.53799i	−0.531964	+	0.179240i	0.0404843	+	0.999180i	$0.487110\pi$
$642$	−4.93594	−	12.3883i	−0.194806	−	0.488927i
$643$	−3.45825	−	3.27583i	−0.136380	−	0.129186i	0.616469	−	0.787379i	$-0.288562\pi$
$643$	−3.45825	−	3.27583i	−0.136380	−	0.129186i	−0.752849	+	0.658193i	$0.771321\pi$
$644$	0.0659873	−	0.0501623i	0.00260027	−	0.00197667i
$645$	29.3155	−	6.45282i	1.15430	−	0.254080i
$646$	5.72154	+	6.73592i	0.225111	+	0.265021i
$647$	2.18853	−	0.238017i	0.0860402	−	0.00935743i	−0.0649977	−	0.997885i	$-0.520704\pi$
$647$	2.18853	−	0.238017i	0.0860402	−	0.00935743i	0.151038	+	0.988528i	$0.451738\pi$
$648$	−1.00000			−0.0392837
$649$	3.88280	−	6.07363i	0.152413	−	0.238411i
$650$	−4.37912			−0.171763
$651$	0.391568	−	0.0425856i	0.0153468	−	0.00166906i
$652$	2.86987	+	3.37867i	0.112393	+	0.132319i
$653$	5.55716	−	1.22322i	0.217469	−	0.0478684i	−0.104900	−	0.994483i	$-0.533452\pi$
$653$	5.55716	−	1.22322i	0.217469	−	0.0478684i	0.322368	+	0.946614i	$0.395521\pi$
$654$	−5.74850	+	4.36990i	−0.224784	+	0.170876i
$655$	−18.0842	−	17.1303i	−0.706609	−	0.669336i
$656$	2.06301	+	5.17776i	0.0805470	+	0.202158i
$657$	−3.21293	+	1.08256i	−0.125348	+	0.0422348i
$658$	−3.74518	+	22.8446i	−0.146002	+	0.890574i
$659$	−1.98236	+	1.87780i	−0.0772219	+	0.0731485i	−0.725337	−	0.688394i	$-0.758316\pi$
$659$	−1.98236	+	1.87780i	−0.0772219	+	0.0731485i	0.648115	+	0.761542i	$0.275558\pi$
$660$	2.41898	+	1.11914i	0.0941587	+	0.0435625i
$661$	2.75152	+	2.09165i	0.107022	+	0.0813557i	0.657316	−	0.753615i	$-0.271692\pi$
$661$	2.75152	+	2.09165i	0.107022	+	0.0813557i	−0.550295	+	0.834970i	$0.685485\pi$
$662$	−2.11763	−	12.9170i	−0.0823042	−	0.502033i
$663$	2.32389	+	4.38332i	0.0902523	+	0.170234i
$664$	−8.32676	−	1.83286i	−0.323141	−	0.0711287i
$665$	−12.9804	+	6.00538i	−0.503359	+	0.232879i
$666$	0.389953	−	0.978709i	0.0151104	−	0.0379242i
$667$	−0.00304197	+	0.0561058i	−0.000117786	+	0.00217243i
$668$	2.91828	−	4.30413i	0.112911	−	0.166532i
$669$	−2.15604	+	2.53829i	−0.0833574	+	0.0981360i
$670$	−9.36961	+	17.6730i	−0.361979	+	0.682766i
$671$	12.2236	+	4.11862i	0.471887	+	0.158997i
$672$	−0.107145	−	1.97618i	−0.00413322	−	0.0762327i
$673$	19.2829	+	11.6021i	0.743301	+	0.447229i	0.836185	−	0.548448i	$-0.184781\pi$
$673$	19.2829	+	11.6021i	0.743301	+	0.447229i	−0.0928839	+	0.995677i	$0.529609\pi$
$674$	3.22455	−	11.6138i	0.124205	−	0.447346i
$675$	−0.820149	−	2.95391i	−0.0315675	−	0.113696i
$676$	9.39076	−	5.65023i	0.361183	−	0.217317i
$677$	−22.3312	−	32.9361i	−0.858259	−	1.26584i	−0.962499	−	0.271286i	$-0.912551\pi$
$677$	−22.3312	−	32.9361i	−0.858259	−	1.26584i	0.104239	−	0.994552i	$-0.466759\pi$
$678$	−3.68196	−	0.400437i	−0.141405	−	0.0153787i
$679$	−19.9509	−	2.16980i	−0.765647	−	0.0832691i
$680$	−5.53547	−	8.16420i	−0.212275	−	0.313083i
$681$	−10.1340	+	6.09744i	−0.388337	+	0.233655i
$682$	−0.0499686	−	0.179971i	−0.00191340	−	0.00689143i
$683$	−1.73794	+	6.25948i	−0.0665003	+	0.239512i	−0.989329	−	0.145698i	$-0.953457\pi$
$683$	−1.73794	+	6.25948i	−0.0665003	+	0.239512i	0.922829	+	0.385210i	$0.125871\pi$
$684$	−2.18038	−	1.31189i	−0.0833688	−	0.0501613i
$685$	0.632552	+	11.6667i	0.0241686	+	0.445763i
$686$	18.9109	+	6.37184i	0.722023	+	0.243278i
$687$	−1.54678	+	2.91753i	−0.0590133	+	0.111311i
$688$	−6.84250	+	8.05561i	−0.260868	+	0.307117i
$689$	0.338753	−	0.499623i	0.0129055	−	0.0190341i
$690$	−0.00643966	+	0.118772i	−0.000245154	+	0.00452159i
$691$	0.660123	−	1.65678i	0.0251123	−	0.0630270i	−0.915886	−	0.401439i	$-0.868510\pi$
$691$	0.660123	−	1.65678i	0.0251123	−	0.0630270i	0.940998	+	0.338412i	$0.109890\pi$
$692$	−1.05162	+	0.486529i	−0.0399765	+	0.0184951i
$693$	1.81393	+	0.399275i	0.0689053	+	0.0151672i
$694$	−13.6035	−	25.6590i	−0.516383	−	0.974001i
$695$	−2.12112	−	12.9382i	−0.0804585	−	0.490775i
$696$	1.06801	+	0.811881i	0.0404829	+	0.0307743i
$697$	17.5690	+	8.12828i	0.665473	+	0.307881i
$698$	−23.5835	+	22.3395i	−0.892649	+	0.845562i
$699$	−1.82168	+	11.1118i	−0.0689024	+	0.420286i
$700$	5.74957	−	1.93726i	0.217313	−	0.0732214i
$701$	−14.4002	−	36.1419i	−0.543890	−	1.36506i	−0.902143	−	0.431436i	$-0.858007\pi$
$701$	−14.4002	−	36.1419i	−0.543890	−	1.36506i	0.358254	−	0.933624i	$-0.383372\pi$
$702$	−1.03705	−	0.982341i	−0.0391407	−	0.0370761i
$703$	2.13420	−	1.62238i	0.0804930	−	0.0611892i
$704$	−0.916550	+	0.201748i	−0.0345438	+	0.00760366i
$705$	−21.5061	−	25.3190i	−0.809967	−	0.953567i
$706$	9.76900	−	1.06244i	0.367661	−	0.0399856i
$707$	35.3816			1.33066
$708$	5.43178	−	5.43100i	0.204139	−	0.204110i
$709$	−32.1672			−1.20806			−0.604032	−	0.796960i	$-0.706440\pi$
$709$	−32.1672			−1.20806			−0.604032	+	0.796960i	$0.706440\pi$
$710$	−5.39035	+	0.586236i	−0.202296	+	0.0220010i
$711$	−5.50046	−	6.47565i	−0.206283	−	0.242856i
$712$	9.62463	−	2.11854i	0.360698	−	0.0793957i
$713$	0.00663582	−	0.00504442i	0.000248513	−	0.000188915i
$714$	−4.99027	−	4.72703i	−0.186756	−	0.176905i
$715$	1.40922	+	3.53686i	0.0527017	+	0.132271i
$716$	−15.0394	+	5.06735i	−0.562047	+	0.189376i
$717$	−1.57113	+	9.58349i	−0.0586750	+	0.357902i
$718$	−6.76562	+	6.40874i	−0.252491	+	0.239172i
$719$	−23.5757	−	10.9073i	−0.879225	−	0.406773i	−0.0722698	−	0.997385i	$-0.523024\pi$
$719$	−23.5757	−	10.9073i	−0.879225	−	0.406773i	−0.806956	+	0.590612i	$0.798886\pi$
$720$	2.26091	+	1.71870i	0.0842592	+	0.0640522i
$721$	2.65907	+	16.2196i	0.0990289	+	0.604050i
$722$	5.86677	+	11.0659i	0.218339	+	0.411830i
$723$	−23.3393	−	5.13736i	−0.867997	−	0.191061i
$724$	−2.07061	+	0.957966i	−0.0769536	+	0.0356025i
$725$	−1.52229	+	3.82067i	−0.0565366	+	0.141896i
$726$	−0.547844	+	10.1044i	−0.0203324	+	0.375009i
$727$	−18.6802	+	27.5512i	−0.692810	+	1.02182i	0.304780	+	0.952423i	$0.401417\pi$
$727$	−18.6802	+	27.5512i	−0.692810	+	1.02182i	−0.997589	+	0.0693947i	$0.977893\pi$
$728$	1.83017	−	2.15464i	0.0678305	−	0.0798562i
$729$	0.468408	−	0.883512i	0.0173485	−	0.0327227i
$730$	9.12476	+	3.07449i	0.337722	+	0.113792i
$731$	1.98741	+	36.6556i	0.0735070	+	1.35576i
$732$	11.7768	+	7.08589i	0.435284	+	0.261902i
$733$	12.9383	−	46.5996i	0.477887	−	1.72119i	−0.194417	−	0.980919i	$-0.562281\pi$
$733$	12.9383	−	46.5996i	0.477887	−	1.72119i	0.672304	−	0.740275i	$-0.265305\pi$
$734$	6.65348	+	23.9637i	0.245584	+	0.884515i
$735$	−7.50302	+	4.51442i	−0.276753	+	0.166517i
$736$	−0.0235040	−	0.0346658i	−0.000866368	−	0.00127780i
$737$	6.57134	+	0.714676i	0.242058	+	0.0263254i
$738$	−5.54095	−	0.602614i	−0.203965	−	0.0221825i
$739$	−25.7886	−	38.0354i	−0.948649	−	1.39915i	−0.916661	−	0.399665i	$-0.869127\pi$
$739$	−25.7886	−	38.0354i	−0.948649	−	1.39915i	−0.0319879	−	0.999488i	$-0.510184\pi$
$740$	−2.56376	+	1.54256i	−0.0942456	+	0.0567057i
$741$	−0.972426	−	3.50236i	−0.0357230	−	0.128662i
$742$	−0.223740	+	0.805840i	−0.00821377	+	0.0295833i
$743$	−16.7820	−	10.0974i	−0.615673	−	0.370438i	0.173297	−	0.984870i	$-0.444558\pi$
$743$	−16.7820	−	10.0974i	−0.615673	−	0.370438i	−0.788970	+	0.614431i	$0.789386\pi$
$744$	−0.0107747	−	0.198728i	−0.000395021	−	0.00728573i
$745$	−13.0259	−	4.38895i	−0.477233	−	0.160799i
$746$	12.5014	−	23.5801i	0.457708	−	0.863329i
$747$	5.51968	−	6.49827i	0.201954	−	0.237759i
$748$	−1.82921	+	2.69789i	−0.0668827	+	0.0986446i
$749$	−1.42883	+	26.3531i	−0.0522081	+	0.962922i
$750$	2.03338	−	5.10339i	0.0742485	−	0.186350i
$751$	−13.2188	+	6.11568i	−0.482362	+	0.223164i	−0.645973	−	0.763361i	$-0.723548\pi$
$751$	−13.2188	+	6.11568i	−0.482362	+	0.223164i	0.163611	+	0.986525i	$0.447686\pi$
$752$	11.4236	+	2.51453i	0.416577	+	0.0916956i
$753$	14.4482	+	27.2522i	0.526521	+	0.993124i
$754$	0.310031	+	1.89111i	0.0112907	+	0.0688701i
$755$	25.5448	+	19.4187i	0.929671	+	0.706718i
$756$	1.79616	+	0.830994i	0.0653259	+	0.0302230i
$757$	−13.7957	+	13.0680i	−0.501413	+	0.474964i	−0.896100	−	0.443852i	$-0.853612\pi$
$757$	−13.7957	+	13.0680i	−0.501413	+	0.474964i	0.394687	+	0.918816i	$0.370853\pi$
$758$	2.39669	−	14.6191i	0.0870516	−	0.530991i
$759$	0.0372489	−	0.0125506i	0.00135205	−	0.000455558i
$760$	2.67489	+	6.71348i	0.0970286	+	0.243523i
$761$	−0.748733	−	0.709237i	−0.0271415	−	0.0257098i	0.674009	−	0.738724i	$-0.264571\pi$
$761$	−0.748733	−	0.709237i	−0.0271415	−	0.0257098i	−0.701150	+	0.713014i	$0.747330\pi$
$762$	−15.7329	+	11.9599i	−0.569944	+	0.433260i
$763$	13.9566	−	3.07208i	0.505263	−	0.111217i
$764$	−9.12771	−	10.7460i	−0.330229	−	0.388776i
$765$	9.80603	−	1.06647i	0.354538	−	0.0385583i
$766$	13.1282			0.474341
$767$	10.9681	−	0.296338i	0.396035	−	0.0107001i
$768$	−1.00000			−0.0360844
$769$	17.4494	−	1.89773i	0.629241	−	0.0684340i	0.212058	−	0.977257i	$-0.431983\pi$
$769$	17.4494	−	1.89773i	0.629241	−	0.0684340i	0.417182	+	0.908823i	$0.363018\pi$
$770$	−3.41489	−	4.02032i	−0.123064	−	0.144882i
$771$	−2.87611	+	0.633080i	−0.103581	+	0.0227998i
$772$	1.79876	−	1.36738i	0.0647388	−	0.0492132i
$773$	7.31436	+	6.92853i	0.263079	+	0.249202i	0.807857	−	0.589379i	$-0.200627\pi$
$773$	7.31436	+	6.92853i	0.263079	+	0.249202i	−0.544778	+	0.838580i	$0.683386\pi$
$774$	−3.91215	−	9.81874i	−0.140619	−	0.352927i
$775$	0.578188	−	0.194814i	0.0207691	−	0.00699794i
$776$	−1.64053	+	10.0068i	−0.0588915	+	0.359222i
$777$	−1.51372	+	1.43387i	−0.0543045	+	0.0514399i
$778$	6.86186	+	3.17463i	0.246010	+	0.113816i
$779$	−11.2908	−	8.58303i	−0.404534	−	0.307519i
$780$	0.656317	+	4.00336i	0.0234999	+	0.143343i
$781$	0.839277	+	1.58305i	0.0300317	+	0.0566458i
$782$	−0.142065	−	0.0312708i	−0.00508022	−	0.00111824i
$783$	−1.21757	+	0.563309i	−0.0435125	+	0.0201310i
$784$	1.14123	−	2.86426i	0.0407581	−	0.102295i
$785$	−1.31903	+	24.3281i	−0.0470783	+	0.868307i
$786$	−4.92214	+	7.25961i	−0.175567	+	0.258942i
$787$	−35.3897	+	41.6640i	−1.26151	+	1.48516i	−0.459098	+	0.888386i	$0.651827\pi$
$787$	−35.3897	+	41.6640i	−1.26151	+	1.48516i	−0.802409	+	0.596774i	$0.796449\pi$
$788$	8.23821	−	15.5389i	0.293474	−	0.553551i
$789$	10.7761	+	3.63089i	0.383639	+	0.129263i
$790$	1.30637	+	24.0945i	0.0464784	+	0.857244i
$791$	6.28064	+	3.77894i	0.223314	+	0.134364i
$792$	0.251073	−	0.904283i	0.00892149	−	0.0321323i
$793$	5.25235	+	18.9173i	0.186516	+	0.671771i
$794$	−31.5156	+	18.9623i	−1.11845	+	0.672947i
$795$	−0.673502	−	0.993341i	−0.0238867	−	0.0352302i
$796$	−6.80797	−	0.740412i	−0.241302	−	0.0262432i
$797$	1.21271	+	0.131891i	0.0429565	+	0.00467180i	0.129572	−	0.991570i	$-0.458640\pi$
$797$	1.21271	+	0.131891i	0.0429565	+	0.00467180i	−0.0866155	+	0.996242i	$0.527605\pi$
$798$	2.82614	+	4.16825i	0.100044	+	0.147554i
$799$	34.8108	−	20.9450i	1.23152	−	0.740979i
$800$	−0.820149	−	2.95391i	−0.0289966	−	0.104436i
$801$	−2.63650	+	9.49581i	−0.0931561	+	0.335518i
$802$	−15.2476	−	9.17417i	−0.538411	−	0.323951i
$803$	−0.172263	−	3.17720i	−0.00607903	−	0.112121i
$804$	6.67462	+	2.24894i	0.235396	+	0.0793140i
$805$	0.110266	−	0.207984i	0.00388636	−	0.00733046i
$806$	0.184045	−	0.216675i	0.00648271	−	0.00763204i
$807$	12.6993	−	18.7301i	0.447036	−	0.659329i
$808$	0.967886	−	17.8516i	0.0340501	−	0.628017i
$809$	−17.6274	+	44.2414i	−0.619745	+	1.55544i	0.198208	+	0.980160i	$0.436488\pi$
$809$	−17.6274	+	44.2414i	−0.619745	+	1.55544i	−0.817954	+	0.575284i	$0.804892\pi$
$810$	−2.57752	+	1.19249i	−0.0905649	+	0.0418998i
$811$	−12.4564	−	2.74187i	−0.437405	−	0.0962801i	−0.00919151	−	0.999958i	$-0.502926\pi$
$811$	−12.4564	−	2.74187i	−0.437405	−	0.0962801i	−0.428213	+	0.903678i	$0.640857\pi$
$812$	−1.24365	−	2.34578i	−0.0436437	−	0.0823208i
$813$	3.22961	+	19.6998i	0.113267	+	0.690901i
$814$	0.787123	+	0.598356i	0.0275887	+	0.0209724i
$815$	11.4262	+	5.28631i	0.400241	+	0.185171i
$816$	−2.52151	+	2.38850i	−0.0882705	+	0.0836143i
$817$	4.35115	−	26.5409i	0.152228	−	0.928547i
$818$	−0.270777	+	0.0912353i	−0.00946749	+	0.00318997i
$819$	1.04638	+	2.62622i	0.0365636	+	0.0917677i
$820$	11.4919	+	10.8857i	0.401314	+	0.380145i
$821$	14.8031	−	11.2531i	0.516633	−	0.392735i	−0.314113	−	0.949386i	$-0.601707\pi$
$821$	14.8031	−	11.2531i	0.516633	−	0.392735i	0.830746	+	0.556651i	$0.187914\pi$
$822$	4.01784	−	0.884394i	0.140138	−	0.0308468i
$823$	1.11621	+	1.31411i	0.0389088	+	0.0458070i	0.781272	−	0.624190i	$-0.214571\pi$
$823$	1.11621	+	1.31411i	0.0389088	+	0.0458070i	−0.742363	+	0.669997i	$0.766295\pi$
$824$	8.25625	−	0.897921i	0.287620	−	0.0312806i
$825$	2.87709			0.100167
$826$	−14.2695	+	5.24120i	−0.496499	+	0.182365i
$827$	−38.1627			−1.32705			−0.663523	−	0.748156i	$-0.730939\pi$
$827$	−38.1627			−1.32705			−0.663523	+	0.748156i	$0.730939\pi$
$828$	0.0416371	−	0.00452830i	0.00144699	−	0.000157369i
$829$	28.3776	+	33.4087i	0.985596	+	1.16033i	0.987063	+	0.160335i	$0.0512573\pi$
$829$	28.3776	+	33.4087i	0.985596	+	1.16033i	−0.00146658	+	0.999999i	$0.500467\pi$
$830$	−23.6481	+	5.20534i	−0.820837	+	0.180680i
$831$	18.6067	−	14.1445i	0.645460	−	0.490666i
$832$	−1.03705	−	0.982341i	−0.0359531	−	0.0340566i
$833$	−3.96368	−	9.94808i	−0.137333	−	0.344681i
$834$	−4.37486	+	1.47406i	−0.151489	+	0.0510425i
$835$	2.38929	−	14.5740i	0.0826847	−	0.504355i
$836$	1.73375	−	1.64230i	0.0599631	−	0.0568001i
$837$	0.180626	+	0.0835664i	0.00624334	+	0.00288848i
$838$	−9.30448	−	7.07308i	−0.321418	−	0.244335i
$839$	7.61346	+	46.4400i	0.262846	+	1.60329i	0.706917	+	0.707297i	$0.250086\pi$
$839$	7.61346	+	46.4400i	0.262846	+	1.60329i	−0.444071	+	0.895992i	$0.646466\pi$
$840$	−2.63274	−	4.96587i	−0.0908381	−	0.171339i
$841$	−26.5643	−	5.84724i	−0.916010	−	0.201629i
$842$	−21.5462	+	9.96835i	−0.742532	+	0.343532i
$843$	−10.0515	+	25.2273i	−0.346191	+	0.868874i
$844$	1.16987	−	21.5769i	0.0402685	−	0.742709i
$845$	17.4671	−	25.7620i	0.600885	−	0.886239i
$846$	−7.57255	+	8.91510i	−0.260350	+	0.306507i
$847$	9.38071	−	17.6939i	0.322325	−	0.607969i
$848$	0.400462	+	0.134931i	0.0137519	+	0.00463356i
$849$	−0.700100	−	12.9126i	−0.0240274	−	0.443159i
$850$	−9.12343	−	5.48938i	−0.312931	−	0.188284i
$851$	−0.0118046	+	0.0425164i	−0.000404657	+	0.00145744i
$852$	0.510764	+	1.83961i	0.0174985	+	0.0630239i
$853$	−21.5198	+	12.9480i	−0.736823	+	0.443332i	−0.833879	−	0.551947i	$-0.813885\pi$
$853$	−21.5198	+	12.9480i	−0.736823	+	0.443332i	0.0970558	+	0.995279i	$0.469057\pi$
$854$	−15.2648	−	22.5139i	−0.522351	−	0.770410i
$855$	−7.18438	−	0.781349i	−0.245701	−	0.0267216i
$856$	13.2572	+	1.44181i	0.453123	+	0.0492801i
$857$	−10.8760	−	16.0409i	−0.371516	−	0.547945i	0.595272	−	0.803524i	$-0.297044\pi$
$857$	−10.8760	−	16.0409i	−0.371516	−	0.547945i	−0.966788	+	0.255579i	$0.917734\pi$
$858$	1.14869	−	0.691143i	0.0392156	−	0.0235952i
$859$	−12.4218	−	44.7393i	−0.423827	−	1.52649i	−0.800037	−	0.599951i	$-0.795187\pi$
$859$	−12.4218	−	44.7393i	−0.423827	−	1.52649i	0.376210	−	0.926534i	$-0.377227\pi$
$860$	−8.03046	+	28.9231i	−0.273837	+	0.986270i
$861$	9.45168	+	5.68689i	0.322112	+	0.193809i
$862$	0.334319	+	6.16615i	0.0113869	+	0.210020i
$863$	21.8383	+	7.35817i	0.743383	+	0.250475i	0.665408	−	0.746480i	$-0.268258\pi$
$863$	21.8383	+	7.35817i	0.743383	+	0.250475i	0.0779758	+	0.996955i	$0.475154\pi$
$864$	0.468408	−	0.883512i	0.0159356	−	0.0300577i
$865$	−2.13038	+	2.50808i	−0.0724352	+	0.0852773i
$866$	−17.2909	+	25.5022i	−0.587569	+	0.866600i
$867$	0.267287	−	4.92981i	0.00907753	−	0.167425i
$868$	−0.145789	+	0.365902i	−0.00494839	+	0.0124195i
$869$	7.23684	−	3.34812i	0.245493	−	0.113577i
$870$	3.72098	+	0.819050i	0.126153	+	0.0277684i
$871$	4.71265	+	8.88900i	0.159682	+	0.301192i
$872$	−1.16821	−	7.12577i	−0.0395606	−	0.241309i
$873$	−8.07267	−	6.13669i	−0.273219	−	0.207695i
$874$	0.0967251	+	0.0447498i	0.00327178	+	0.00151368i
$875$	−7.89317	+	7.47681i	−0.266838	+	0.252762i
$876$	0.548507	−	3.34575i	0.0185323	−	0.113042i
$877$	−19.7127	+	6.64198i	−0.665650	+	0.224284i	−0.631786	−	0.775143i	$-0.717678\pi$
$877$	−19.7127	+	6.64198i	−0.665650	+	0.224284i	−0.0338641	+	0.999426i	$0.510781\pi$
$878$	−3.84054	−	9.63904i	−0.129612	−	0.325302i
$879$	−24.5910	−	23.2939i	−0.829435	−	0.785683i
$880$	−2.12185	+	1.61299i	−0.0715274	+	0.0543737i
$881$	11.9082	−	2.62119i	0.401197	−	0.0883101i	−0.00978834	−	0.999952i	$-0.503116\pi$
$881$	11.9082	−	2.62119i	0.401197	−	0.0883101i	0.410985	+	0.911642i	$0.365185\pi$
$882$	1.99605	+	2.34993i	0.0672105	+	0.0791263i
$883$	−6.41228	+	0.697377i	−0.215790	+	0.0234686i	−0.215376	−	0.976531i	$-0.569098\pi$
$883$	−6.41228	+	0.697377i	−0.215790	+	0.0234686i	−0.000414805		1.00000i	$0.500132\pi$
$884$	−4.96124			−0.166865
$885$	7.52411	−	20.4759i	0.252920	−	0.688289i
$886$	20.0382			0.673198
$887$	−25.0248	+	2.72162i	−0.840252	+	0.0913829i	−0.518116	−	0.855310i	$-0.673366\pi$
$887$	−25.0248	+	2.72162i	−0.840252	+	0.0913829i	−0.322136	+	0.946693i	$0.604401\pi$
$888$	0.682044	+	0.802964i	0.0228879	+	0.0269457i
$889$	38.1975	−	8.40790i	1.28110	−	0.281992i
$890$	22.2814	−	16.9378i	0.746873	−	0.567758i
$891$	0.681340	+	0.645400i	0.0228258	+	0.0216217i
$892$	−1.23270	−	3.09385i	−0.0412739	−	0.103590i
$893$	−28.2066	+	9.50392i	−0.943899	+	0.318036i
$894$	−0.783014	+	4.77618i	−0.0261879	+	0.159739i
$895$	−32.7215	+	30.9955i	−1.09376	+	1.03606i
$896$	1.79616	+	0.830994i	0.0600056	+	0.0277616i
$897$	0.0476279	+	0.0362058i	0.00159025	+	0.00120887i
$898$	−0.404370	−	2.46655i	−0.0134940	−	0.0823098i
$899$	−0.125064	−	0.235896i	−0.00417113	−	0.00786759i
$900$	2.99398	+	0.659025i	0.0997993	+	0.0219675i
$901$	1.33205	−	0.616273i	0.0443771	−	0.0205310i
$902$	1.93612	−	4.85928i	0.0644656	−	0.161796i
$903$	−1.13246	+	20.8870i	−0.0376860	+	0.695077i
$904$	2.07845	−	3.06549i	0.0691283	−	0.101957i
$905$	−4.19468	+	4.93836i	−0.139436	+	0.164157i
$906$	5.29229	−	9.98233i	0.175825	−	0.331641i
$907$	42.0197	+	14.1581i	1.39524	+	0.470112i	0.913728	−	0.406327i	$-0.133191\pi$
$907$	42.0197	+	14.1581i	1.39524	+	0.470112i	0.481514	+	0.876439i	$0.340087\pi$
$908$	−0.640300	−	11.8096i	−0.0212491	−	0.391916i
$909$	15.3187	+	9.21698i	0.508091	+	0.305708i
$910$	2.14791	−	7.73608i	0.0712026	−	0.256449i
$911$	−2.71927	−	9.79391i	−0.0900933	−	0.324487i	0.904746	−	0.425952i	$-0.140061\pi$
$911$	−2.71927	−	9.79391i	−0.0900933	−	0.324487i	−0.994839	+	0.101465i	$0.967647\pi$
$912$	2.18038	−	1.31189i	0.0721995	−	0.0434410i
$913$	4.49043	+	6.62289i	0.148612	+	0.219186i
$914$	−12.5685	−	1.36690i	−0.415728	−	0.0452131i
$915$	38.8049	+	4.22029i	1.28285	+	0.139518i
$916$	−1.85315	−	2.73319i	−0.0612299	−	0.0903073i
$917$	14.8737	−	8.94919i	0.491172	−	0.295528i
$918$	−0.929173	−	3.34658i	−0.0306673	−	0.110454i
$919$	−0.0793079	+	0.285641i	−0.00261612	+	0.00942243i	−0.964847	−	0.262814i	$-0.915349\pi$
$919$	−0.0793079	+	0.285641i	−0.00261612	+	0.00942243i	0.962230	+	0.272236i	$0.0877633\pi$
$920$	−0.101921	−	0.0613235i	−0.00336022	−	0.00202178i
$921$	−1.40274	−	25.8720i	−0.0462218	−	0.852510i
$922$	33.1774	+	11.1788i	1.09264	+	0.368153i
$923$	−1.27744	+	2.40950i	−0.0420473	+	0.0793096i
$924$	−1.20242	+	1.41560i	−0.0395568	+	0.0465698i
$925$	−1.81251	+	2.67325i	−0.0595948	+	0.0878958i
$926$	0.204241	−	3.76701i	0.00671178	−	0.123792i
$927$	−3.07397	+	7.71509i	−0.100963	+	0.253397i
$928$	−1.21757	+	0.563309i	−0.0399688	+	0.0184915i
$929$	−36.1602	−	7.95946i	−1.18638	−	0.261141i	−0.422415	−	0.906402i	$-0.638818\pi$
$929$	−36.1602	−	7.95946i	−1.18638	−	0.261141i	−0.763962	+	0.645261i	$0.776749\pi$
$930$	−0.264753	−	0.499378i	−0.00868160	−	0.0163752i
$931$	1.26929	+	7.74233i	0.0415993	+	0.253745i
$932$	−8.96410	−	6.81433i	−0.293629	−	0.223211i
$933$	18.9561	+	8.77002i	0.620595	+	0.287118i
$934$	31.1555	−	29.5121i	1.01944	−	0.965664i
$935$	−1.49764	+	9.13519i	−0.0489780	+	0.298753i
$936$	1.35367	−	0.456105i	0.0442461	−	0.0149083i
$937$	4.53350	+	11.3782i	0.148103	+	0.371710i	0.984247	−	0.176800i	$-0.0565745\pi$
$937$	4.53350	+	11.3782i	0.148103	+	0.371710i	−0.836144	+	0.548510i	$0.815195\pi$
$938$	−10.1199	−	9.58603i	−0.330425	−	0.312995i
$939$	15.5723	−	11.8377i	0.508182	−	0.386310i
$940$	32.4432	−	7.14130i	1.05818	−	0.232923i
$941$	−10.3251	−	12.1557i	−0.336589	−	0.396264i	0.567664	−	0.823261i	$-0.307847\pi$
$941$	−10.3251	−	12.1557i	−0.336589	−	0.396264i	−0.904253	+	0.426997i	$0.859572\pi$
$942$	8.52850	−	0.927530i	0.277874	−	0.0302206i
$943$	0.233438			0.00760177
$944$	2.25407	+	7.34297i	0.0733637	+	0.238993i
$945$	5.62060			0.182838
$946$	9.86116	−	1.07247i	0.320614	−	0.0348689i
$947$	13.2076	+	15.5491i	0.429188	+	0.505279i	0.933666	−	0.358145i	$-0.116591\pi$
$947$	13.2076	+	15.5491i	0.429188	+	0.505279i	−0.504478	+	0.863425i	$0.668315\pi$
$948$	8.29777	−	1.82648i	0.269499	−	0.0593213i
$949$	3.85549	−	2.93087i	0.125155	−	0.0951400i
$950$	5.66343	+	5.36469i	0.183746	+	0.174053i
$951$	−2.01235	−	5.05061i	−0.0652548	−	0.163777i
$952$	6.51388	−	2.19478i	0.211116	−	0.0711332i
$953$	8.92532	−	54.4420i	0.289119	−	1.76355i	−0.298496	−	0.954411i	$-0.596485\pi$
$953$	8.92532	−	54.4420i	0.289119	−	1.76355i	0.587616	−	0.809140i	$-0.300067\pi$
$954$	−0.306793	+	0.290610i	−0.00993279	+	0.00940884i
$955$	−36.3413	−	16.8133i	−1.17598	−	0.544065i
$956$	−7.73119	−	5.87710i	−0.250045	−	0.190079i
$957$	−0.203691	−	1.24246i	−0.00658440	−	0.0401631i
$958$	10.9271	+	20.6107i	0.353039	+	0.665902i
$959$	−7.95163	−	1.75029i	−0.256772	−	0.0565197i
$960$	−2.57752	+	1.19249i	−0.0831892	+	0.0384874i
$961$	11.4596	−	28.7615i	0.369665	−	0.927790i
$962$	−0.0814746	+	1.50271i	−0.00262685	+	0.0484493i
$963$	−7.48366	+	11.0376i	−0.241158	+	0.355681i
$964$	15.4712	−	18.2141i	0.498295	−	0.586638i
$965$	3.00576	−	5.66946i	0.0967588	−	0.182506i
$966$	−0.0785500	−	0.0264666i	−0.00252730	−	0.000851548i
$967$	1.44780	+	26.7030i	0.0465580	+	0.858712i	0.924790	+	0.380477i	$0.124240\pi$
$967$	1.44780	+	26.7030i	0.0465580	+	0.858712i	−0.878232	+	0.478234i	$0.841277\pi$
$968$	−8.67074	−	5.21701i	−0.278688	−	0.167681i
$969$	2.36439	−	8.51577i	0.0759552	−	0.273566i
$970$	7.70448	+	27.7490i	0.247376	+	0.890967i
$971$	34.0696	−	20.4990i	1.09335	−	0.657845i	0.149677	−	0.988735i	$-0.452177\pi$
$971$	34.0696	−	20.4990i	1.09335	−	0.657845i	0.943669	+	0.330890i	$0.107349\pi$
$972$	0.561187	+	0.827689i	0.0180001	+	0.0265481i
$973$	9.08289	+	0.987824i	0.291184	+	0.0316682i
$974$	25.8863	+	2.81531i	0.829451	+	0.0902083i
$975$	2.45750	+	3.62455i	0.0787031	+	0.116078i
$976$	−11.7768	+	7.08589i	−0.376967	+	0.226814i
$977$	6.61800	+	23.8359i	0.211728	+	0.762577i	0.990764	+	0.135597i	$0.0432953\pi$
$977$	6.61800	+	23.8359i	0.211728	+	0.762577i	−0.779036	+	0.626980i	$0.784291\pi$
$978$	1.18595	−	4.27142i	0.0379226	−	0.136585i
$979$	−7.92495	−	4.76829i	−0.253283	−	0.152395i
$980$	−0.474064	−	8.74360i	−0.0151434	−	0.279304i
$981$	6.84290	+	2.30564i	0.218477	+	0.0736135i
$982$	19.7876	−	37.3234i	0.631449	−	1.19104i
$983$	29.0002	−	34.1417i	0.924963	−	1.08895i	−0.0708459	−	0.997487i	$-0.522570\pi$
$983$	29.0002	−	34.1417i	0.924963	−	1.08895i	0.995808	−	0.0914629i	$-0.0291543\pi$
$984$	3.12784	−	4.61322i	0.0997120	−	0.147064i
$985$	2.70419	−	49.8759i	0.0861627	−	1.58918i
$986$	−1.72466	+	4.32856i	−0.0549242	+	0.137849i
$987$	21.0099	−	9.72023i	0.668754	−	0.309398i
$988$	3.54987	+	0.781386i	0.112936	+	0.0248592i
$989$	0.207353	+	0.391108i	0.00659343	+	0.0124365i
$990$	−0.431201	−	2.63021i	−0.0137045	−	0.0835936i
$991$	43.6018	+	33.1452i	1.38506	+	1.05289i	0.991008	+	0.133803i	$0.0427188\pi$
$991$	43.6018	+	33.1452i	1.38506	+	1.05289i	0.394048	+	0.919090i	$0.371074\pi$
$992$	0.180626	+	0.0835664i	0.00573487	+	0.00265324i
$993$	−9.50287	+	9.00160i	−0.301564	+	0.285657i
$994$	0.611286	−	3.72868i	0.0193888	−	0.118266i
$995$	−18.4306	+	6.21000i	−0.584290	+	0.196870i
$996$	3.15583	+	7.92055i	0.0999964	+	0.250972i
$997$	4.78052	+	4.52835i	0.151401	+	0.143414i	0.759651	−	0.650331i	$-0.225370\pi$
$997$	4.78052	+	4.52835i	0.151401	+	0.143414i	−0.608250	+	0.793745i	$0.708128\pi$
$998$	11.2953	−	8.58646i	0.357546	−	0.271800i
$999$	−1.02890	+	0.226479i	−0.0325531	+	0.00716547i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	354.2.e.b.133.2	✓	56
59.4	even	29	inner	354.2.e.b.181.2	yes	56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
354.2.e.b.133.2	✓	56	1.1	even	1	trivial
354.2.e.b.181.2	yes	56	59.4	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)

\(f(q)\)	\(=\)	\(q+(0.994138 - 0.108119i) q^{2} +(-0.647386 - 0.762162i) q^{3} +(0.976621 - 0.214970i) q^{4} +(2.26091 - 1.71870i) q^{5} +(-0.725995 - 0.687699i) q^{6} +(0.732533 + 1.83852i) q^{7} +(0.947653 - 0.319302i) q^{8} +(-0.161782 + 0.986827i) q^{9} +O(q^{10})\)	\(q+(0.994138 - 0.108119i) q^{2} +(-0.647386 - 0.762162i) q^{3} +(0.976621 - 0.214970i) q^{4} +(2.26091 - 1.71870i) q^{5} +(-0.725995 - 0.687699i) q^{6} +(0.732533 + 1.83852i) q^{7} +(0.947653 - 0.319302i) q^{8} +(-0.161782 + 0.986827i) q^{9} +(2.06183 - 1.95307i) q^{10} +(-0.851752 - 0.394062i) q^{11} +(-0.796093 - 0.605174i) q^{12} +(-0.231097 - 1.40963i) q^{13} +(0.927018 + 1.74854i) q^{14} +(-2.77361 - 0.610518i) q^{15} +(0.907575 - 0.419889i) q^{16} +(1.28555 - 3.22650i) q^{17} +(-0.0541389 + 0.998533i) q^{18} +(-1.42801 + 2.10615i) q^{19} +(1.83858 - 2.16455i) q^{20} +(0.927018 - 1.74854i) q^{21} +(-0.889364 - 0.299662i) q^{22} +(-0.00226748 - 0.0418212i) q^{23} +(-0.856857 - 0.515554i) q^{24} +(0.820149 - 2.95391i) q^{25} +(-0.382150 - 1.37638i) q^{26} +(0.856857 - 0.515554i) q^{27} +(1.11063 + 1.63806i) q^{28} +(-1.33370 - 0.145049i) q^{29} +(-2.82336 - 0.307059i) q^{30} +(0.111688 + 0.164727i) q^{31} +(0.856857 - 0.515554i) q^{32} +(0.251073 + 0.904283i) q^{33} +(0.929173 - 3.34658i) q^{34} +(4.81606 + 2.89772i) q^{35} +(0.0541389 + 0.998533i) q^{36} +(-0.998385 - 0.336395i) q^{37} +(-1.19192 + 2.24820i) q^{38} +(-0.924756 + 1.08871i) q^{39} +(1.59378 - 2.35064i) q^{40} +(-0.301750 + 5.56545i) q^{41} +(0.732533 - 1.83852i) q^{42} +(-9.59255 + 4.43798i) q^{43} +(-0.916550 - 0.201748i) q^{44} +(1.33028 + 2.50918i) q^{45} +(-0.00677585 - 0.0413308i) q^{46} +(9.31199 + 7.07879i) q^{47} +(-0.907575 - 0.419889i) q^{48} +(2.23842 - 2.12034i) q^{49} +(0.495967 - 3.02527i) q^{50} +(-3.29137 + 1.10899i) q^{51} +(-0.528722 - 1.32699i) q^{52} +(0.306793 + 0.290610i) q^{53} +(0.796093 - 0.605174i) q^{54} +(-2.60301 + 0.572966i) q^{55} +(1.28123 + 1.50838i) q^{56} +(2.52970 - 0.275122i) q^{57} -1.34157 q^{58} +(-1.03750 + 7.61076i) q^{59} -2.84001 q^{60} +(-13.6637 + 1.48601i) q^{61} +(0.128843 + 0.151686i) q^{62} +(-1.93281 + 0.425444i) q^{63} +(0.796093 - 0.605174i) q^{64} +(-2.94522 - 2.78986i) q^{65} +(0.347371 + 0.871836i) q^{66} +(-6.67462 + 2.24894i) q^{67} +(0.561897 - 3.42742i) q^{68} +(-0.0304066 + 0.0288026i) q^{69} +(5.10112 + 2.36003i) q^{70} +(-1.51990 - 1.15540i) q^{71} +(0.161782 + 0.986827i) q^{72} +(1.58810 + 2.99547i) q^{73} +(-1.02890 - 0.226479i) q^{74} +(-2.78231 + 1.28723i) q^{75} +(-0.941861 + 2.36389i) q^{76} +(0.100555 - 1.85462i) q^{77} +(-0.801625 + 1.18231i) q^{78} +(-5.50046 + 6.47565i) q^{79} +(1.33028 - 2.50918i) q^{80} +(-0.947653 - 0.319302i) q^{81} +(0.301750 + 5.56545i) q^{82} +(-7.30565 - 4.39566i) q^{83} +(0.529460 - 1.90694i) q^{84} +(-2.63886 - 9.50431i) q^{85} +(-9.05648 + 5.44911i) q^{86} +(0.752869 + 1.11040i) q^{87} +(-0.932990 - 0.101469i) q^{88} +(9.79726 + 1.06552i) q^{89} +(1.59378 + 2.35064i) q^{90} +(2.42234 - 1.45747i) q^{91} +(-0.0112048 - 0.0403560i) q^{92} +(0.0532435 - 0.191766i) q^{93} +(10.0228 + 6.03049i) q^{94} +(0.391248 + 7.21615i) q^{95} +(-0.947653 - 0.319302i) q^{96} +(-4.74983 + 8.95913i) q^{97} +(1.99605 - 2.34993i) q^{98} +(0.526669 - 0.776779i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 56 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{5} - 2 q^{6} + q^{7} + 2 q^{8} - 2 q^{9}+O(q^{10}) \) 56 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 - 2 * q^5 - 2 * q^6 + q^7 + 2 * q^8 - 2 * q^9	\( 56 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{5} - 2 q^{6} + q^{7} + 2 q^{8} - 2 q^{9} + 2 q^{10} + 30 q^{11} + 2 q^{12} + 5 q^{13} + 28 q^{14} + 2 q^{15} - 2 q^{16} - 3 q^{17} + 2 q^{18} - 4 q^{19} - 2 q^{20} + 28 q^{21} - q^{22} - 2 q^{23} - 2 q^{24} + 64 q^{25} - 34 q^{26} + 2 q^{27} + q^{28} + 8 q^{29} - 2 q^{30} + 2 q^{32} - q^{33} + 32 q^{34} - 87 q^{35} - 2 q^{36} + 47 q^{37} + 4 q^{38} - 5 q^{39} + 2 q^{40} + 3 q^{41} + q^{42} - 61 q^{43} + q^{44} - 2 q^{45} - 27 q^{46} + 50 q^{47} + 2 q^{48} - 45 q^{49} - 6 q^{50} + 3 q^{51} - 24 q^{52} - 27 q^{53} - 2 q^{54} - 95 q^{55} - q^{56} + 4 q^{57} + 50 q^{58} - 58 q^{59} + 2 q^{60} - 74 q^{61} - 29 q^{62} + q^{63} - 2 q^{64} - 17 q^{65} + q^{66} + 4 q^{67} - 32 q^{68} + 31 q^{69} - 58 q^{70} - 47 q^{71} + 2 q^{72} + 43 q^{73} - 18 q^{74} - 6 q^{75} - 33 q^{76} - 5 q^{77} + 5 q^{78} + 19 q^{79} - 2 q^{80} - 2 q^{81} - 3 q^{82} + 47 q^{83} - q^{84} - 149 q^{85} - 55 q^{86} + 21 q^{87} + 28 q^{88} + 36 q^{89} + 2 q^{90} + 175 q^{91} - 2 q^{92} - 29 q^{93} - 21 q^{94} + 50 q^{95} - 2 q^{96} + 10 q^{97} - 13 q^{98} + q^{99}+O(q^{100}) \) 56 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 - 2 * q^5 - 2 * q^6 + q^7 + 2 * q^8 - 2 * q^9 + 2 * q^10 + 30 * q^11 + 2 * q^12 + 5 * q^13 + 28 * q^14 + 2 * q^15 - 2 * q^16 - 3 * q^17 + 2 * q^18 - 4 * q^19 - 2 * q^20 + 28 * q^21 - q^22 - 2 * q^23 - 2 * q^24 + 64 * q^25 - 34 * q^26 + 2 * q^27 + q^28 + 8 * q^29 - 2 * q^30 + 2 * q^32 - q^33 + 32 * q^34 - 87 * q^35 - 2 * q^36 + 47 * q^37 + 4 * q^38 - 5 * q^39 + 2 * q^40 + 3 * q^41 + q^42 - 61 * q^43 + q^44 - 2 * q^45 - 27 * q^46 + 50 * q^47 + 2 * q^48 - 45 * q^49 - 6 * q^50 + 3 * q^51 - 24 * q^52 - 27 * q^53 - 2 * q^54 - 95 * q^55 - q^56 + 4 * q^57 + 50 * q^58 - 58 * q^59 + 2 * q^60 - 74 * q^61 - 29 * q^62 + q^63 - 2 * q^64 - 17 * q^65 + q^66 + 4 * q^67 - 32 * q^68 + 31 * q^69 - 58 * q^70 - 47 * q^71 + 2 * q^72 + 43 * q^73 - 18 * q^74 - 6 * q^75 - 33 * q^76 - 5 * q^77 + 5 * q^78 + 19 * q^79 - 2 * q^80 - 2 * q^81 - 3 * q^82 + 47 * q^83 - q^84 - 149 * q^85 - 55 * q^86 + 21 * q^87 + 28 * q^88 + 36 * q^89 + 2 * q^90 + 175 * q^91 - 2 * q^92 - 29 * q^93 - 21 * q^94 + 50 * q^95 - 2 * q^96 + 10 * q^97 - 13 * q^98 + q^99

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