LMFDB - Embedded newform 354.2.e.b.181.2

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			181.2
Character	$\chi$	$=$	354.181
Dual form			354.2.e.b.133.2

$q$-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 $\left(\mathbb{Z}/354\mathbb{Z}\right)^\times$.

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

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	0.973037	−	0.230649i	$-0.0740848\pi$
$5$	2.26091	+	1.71870i	1.01111	+	0.768626i	0.0380733	+	0.999275i	$0.487878\pi$
$6$	−0.725995	+	0.687699i	−0.296386	+	0.280752i
$7$	0.732533	−	1.83852i	0.276871	−	0.694895i	−0.723120	−	0.690723i	$-0.757293\pi$
$7$	0.732533	−	1.83852i	0.276871	−	0.694895i	0.999991	−	0.00417231i	$-0.00132809\pi$
$8$	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	−0.544072	−	0.839039i	$-0.683118\pi$
$11$	−0.851752	+	0.394062i	−0.256813	+	0.118814i	0.287259	+	0.957853i	$0.407256\pi$
$12$	−0.796093	+	0.605174i	−0.229812	+	0.174699i
$13$	−0.231097	+	1.40963i	−0.0640947	+	0.390960i	0.935224	+	0.354056i	$0.115198\pi$
$13$	−0.231097	+	1.40963i	−0.0640947	+	0.390960i	−0.999319	+	0.0369041i	$0.988250\pi$
$14$	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	0.998455	+	0.0555644i	$0.0176958\pi$
$17$	1.28555	+	3.22650i	0.311793	+	0.782541i	−0.686662	+	0.726977i	$0.740925\pi$
$18$	−0.0541389	−	0.998533i	−0.0127607	−	0.235357i
$19$	−1.42801	−	2.10615i	−0.327608	−	0.483185i	0.627841	−	0.778341i	$-0.283939\pi$
$19$	−1.42801	−	2.10615i	−0.327608	−	0.483185i	−0.955449	+	0.295156i	$0.904628\pi$
$20$	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	−0.998760	−	0.0497782i	$-0.984149\pi$
$23$	−0.00226748	+	0.0418212i	−0.000472802	+	0.00872031i	0.998287	+	0.0584985i	$0.0186313\pi$
$24$	−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	−0.231108	−	0.972928i	$-0.574235\pi$
$29$	−1.33370	+	0.145049i	−0.247662	+	0.0269349i	−0.0165541	+	0.999863i	$0.505270\pi$
$30$	−2.82336	+	0.307059i	−0.515473	+	0.0560610i
$31$	0.111688	−	0.164727i	0.0200597	−	0.0295858i	−0.817527	−	0.575890i	$-0.804656\pi$
$31$	0.111688	−	0.164727i	0.0200597	−	0.0295858i	0.837587	+	0.546305i	$0.183966\pi$
$32$	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	−0.400169	−	0.916441i	$-0.631048\pi$
$37$	−0.998385	+	0.336395i	−0.164134	+	0.0553030i	0.236035	+	0.971745i	$0.424152\pi$
$38$	−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	−0.922563	−	0.385846i	$-0.873910\pi$
$41$	−0.301750	−	5.56545i	−0.0471254	−	0.869177i	0.875438	−	0.483331i	$-0.160573\pi$
$42$	0.732533	+	1.83852i	0.113032	+	0.283690i
$43$	−9.59255	−	4.43798i	−1.46285	−	0.676786i	−0.482835	−	0.875711i	$-0.660393\pi$
$43$	−9.59255	−	4.43798i	−1.46285	−	0.676786i	−0.980015	+	0.198925i	$0.936255\pi$
$44$	−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	0.363398	−	0.931634i	$-0.381616\pi$
$47$	9.31199	−	7.07879i	1.35829	−	1.03255i	0.994895	−	0.100914i	$-0.0321766\pi$
$48$	−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	−0.666339	−	0.745649i	$-0.732140\pi$
$53$	0.306793	−	0.290610i	0.0421413	−	0.0399183i	0.708480	+	0.705731i	$0.249381\pi$
$54$	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	−0.823349	−	0.567536i	$-0.807897\pi$
$61$	−13.6637	−	1.48601i	−1.74945	−	0.190264i	−0.926103	+	0.377272i	$0.876862\pi$
$62$	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	−0.119479	−	0.992837i	$-0.538122\pi$
$67$	−6.67462	−	2.24894i	−0.815434	−	0.274752i	−0.695955	+	0.718085i	$0.745019\pi$
$68$	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	−0.691467	−	0.722408i	$-0.743035\pi$
$71$	−1.51990	+	1.15540i	−0.180379	+	0.137120i	0.511089	+	0.859528i	$0.329242\pi$
$72$	0.161782	−	0.986827i	0.0190662	−	0.116299i
$73$	1.58810	−	2.99547i	0.185873	−	0.350593i	−0.773011	−	0.634393i	$-0.781250\pi$
$73$	1.58810	−	2.99547i	0.185873	−	0.350593i	0.958884	+	0.283800i	$0.0915951\pi$
$74$	−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	0.360044	−	0.932935i	$-0.382762\pi$
$79$	−5.50046	−	6.47565i	−0.618850	−	0.728567i	−0.978894	+	0.204368i	$0.934486\pi$
$80$	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	−0.856578	−	0.516017i	$-0.827414\pi$
$83$	−7.30565	+	4.39566i	−0.801899	+	0.482487i	0.0546792	+	0.998504i	$0.482586\pi$
$84$	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	0.427055	−	0.904226i	$-0.359551\pi$
$89$	9.79726	−	1.06552i	1.03851	−	0.112944i	0.611452	+	0.791281i	$0.290586\pi$
$90$	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	−0.998581	−	0.0532595i	$-0.983039\pi$
$97$	−4.74983	−	8.95913i	−0.482272	−	0.909662i	0.516308	−	0.856403i	$-0.327306\pi$
$98$	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	0.753785	+	0.657121i	$0.228226\pi$
$101$	6.61726	+	16.6081i	0.658442	+	1.65257i	−0.0953424	+	0.995445i	$0.530395\pi$
$102$	−3.15217	−	1.45835i	−0.312111	−	0.144398i
$103$	8.11077	−	1.78532i	0.799178	−	0.175912i	0.203436	−	0.979088i	$-0.434789\pi$
$103$	8.11077	−	1.78532i	0.799178	−	0.175912i	0.595742	+	0.803176i	$0.296858\pi$
$104$	−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	0.263999	−	0.964523i	$-0.414959\pi$
$107$	12.1029	−	5.59939i	1.17003	−	0.541314i	0.906032	+	0.423209i	$0.139097\pi$
$108$	0.725995	+	0.687699i	0.0698589	+	0.0661739i
$109$	1.16821	+	7.12577i	0.111894	+	0.682525i	0.981888	+	0.189462i	$0.0606744\pi$
$109$	1.16821	+	7.12577i	0.111894	+	0.682525i	−0.869994	+	0.493063i	$0.835877\pi$
$110$	−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	0.734605	−	0.678495i	$-0.237368\pi$
$113$	2.94847	+	2.24137i	0.277368	+	0.210850i	−0.457236	+	0.889345i	$0.651161\pi$
$114$	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	0.616328	+	0.787490i	$0.288620\pi$
$127$	3.19724	+	19.5023i	0.283709	+	1.73055i	−0.332618	+	0.943062i	$0.607932\pi$
$128$	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	0.849525	+	0.527548i	$0.176889\pi$
$131$	−1.41898	+	8.65540i	−0.123977	+	0.756226i	−0.973502	+	0.228678i	$0.926560\pi$
$132$	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	0.716183	−	0.697913i	$-0.245888\pi$
$137$	−2.30874	−	3.40513i	−0.197249	−	0.290920i	−0.913431	+	0.406993i	$0.866577\pi$
$138$	−0.0271142	−	0.0319213i	−0.00230811	−	0.00271732i
$139$	2.16241	+	4.07875i	0.183414	+	0.345955i	0.958120	−	0.286366i	$-0.0924473\pi$
$139$	2.16241	+	4.07875i	0.183414	+	0.345955i	−0.774707	+	0.632321i	$0.782102\pi$
$140$	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	−0.922517	−	0.385958i	$-0.873871\pi$
$149$	−2.71611	+	4.00596i	−0.222512	+	0.328181i	0.700004	+	0.714139i	$0.253181\pi$
$150$	−2.62683	−	1.58051i	−0.214479	−	0.129048i
$151$	3.02266	−	10.8866i	0.245980	−	0.885941i	−0.732700	−	0.680552i	$-0.761740\pi$
$151$	3.02266	−	10.8866i	0.245980	−	0.885941i	0.978680	−	0.205390i	$-0.0658461\pi$
$152$	−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	0.494491	−	0.869183i	$-0.335354\pi$
$157$	−5.55379	−	6.53843i	−0.443241	−	0.521823i	−0.937732	+	0.347359i	$0.887078\pi$
$158$	−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	−0.788775	−	0.614682i	$-0.789284\pi$
$163$	2.07646	−	3.91661i	0.162641	−	0.306773i	0.951416	+	0.307909i	$0.0996292\pi$
$164$	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	0.819707	−	0.572783i	$-0.194136\pi$
$167$	3.77531	+	3.57616i	0.292142	+	0.276732i	−0.527565	+	0.849515i	$0.676895\pi$
$168$	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	0.171744	−	0.985142i	$-0.445060\pi$
$173$	−1.13162	−	0.249088i	−0.0860354	−	0.0189378i	−0.257780	+	0.966204i	$0.582991\pi$
$174$	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	−0.502567	−	0.864538i	$-0.667611\pi$
$179$	−15.7771	−	1.71586i	−1.17923	−	0.128249i	−0.676667	+	0.736289i	$0.736577\pi$
$180$	1.83858	−	2.16455i	0.137040	−	0.161336i
$181$	−2.22813	−	0.490449i	−0.165616	−	0.0364548i	0.131388	−	0.991331i	$-0.458057\pi$
$181$	−2.22813	−	0.490449i	−0.165616	−	0.0364548i	−0.297004	+	0.954876i	$0.595988\pi$
$182$	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	0.520991	+	0.853562i	$0.325562\pi$
$191$	−6.60424	+	12.4569i	−0.477866	+	0.901351i	−0.998857	+	0.0477894i	$0.984782\pi$
$192$	−0.976621	+	0.214970i	−0.0704815	+	0.0155142i
$193$	2.05065	+	0.948733i	0.147609	+	0.0682913i	0.492303	−	0.870424i	$-0.336155\pi$
$193$	2.05065	+	0.948733i	0.147609	+	0.0682913i	−0.344694	+	0.938715i	$0.612017\pi$
$194$	−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	0.999634	−	0.0270482i	$-0.00861075\pi$
$197$	11.3860	+	13.4046i	0.811219	+	0.955041i	−0.188415	+	0.982090i	$0.560335\pi$
$198$	0.439597	+	0.829168i	0.0312408	+	0.0589264i
$199$	−6.48964	+	2.18661i	−0.460038	+	0.155005i	−0.539772	−	0.841811i	$-0.681490\pi$
$199$	−6.48964	+	2.18661i	−0.460038	+	0.155005i	0.0797337	+	0.996816i	$0.474593\pi$
$200$	−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	0.843027	+	0.537872i	$0.180771\pi$
$211$	5.78092	+	20.8210i	0.397975	+	1.43338i	−0.445052	+	0.895505i	$0.646815\pi$
$212$	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	−0.998712	−	0.0507326i	$-0.983844\pi$
$223$	−0.538796	+	3.28651i	−0.0360804	+	0.220081i	0.962632	+	0.270813i	$0.0872927\pi$
$224$	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	0.971137	+	0.238522i	$0.0766628\pi$
$227$	1.91339	+	11.6712i	0.126996	+	0.774643i	−0.844141	+	0.536121i	$0.819889\pi$
$228$	2.41142	+	0.812501i	0.159700	+	0.0538092i
$229$	−1.22227	+	3.06767i	−0.0807699	+	0.202717i	−0.963816	−	0.266570i	$-0.914110\pi$
$229$	−1.22227	+	3.06767i	−0.0807699	+	0.202717i	0.883046	+	0.469287i	$0.155489\pi$
$230$	−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	−0.947205	−	0.320628i	$-0.896106\pi$
$233$	−7.28964	+	8.58203i	−0.477560	+	0.562228i	0.469645	+	0.882855i	$0.344382\pi$
$234$	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	−0.926929	−	0.375237i	$-0.877561\pi$
$239$	−6.28704	+	7.40168i	−0.406675	+	0.478775i	0.520254	+	0.854012i	$0.325837\pi$
$240$	−2.77361	−	0.610518i	−0.179036	−	0.0394088i
$241$	19.0250	+	14.4624i	1.22551	+	0.931608i	0.999100	−	0.0424239i	$-0.0135080\pi$
$241$	19.0250	+	14.4624i	1.22551	+	0.931608i	0.226410	+	0.974032i	$0.427301\pi$
$242$	−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	−0.999899	−	0.0142086i	$-0.995477\pi$
$251$	−30.1241	+	6.63082i	−1.90142	+	0.418533i	−0.901518	+	0.432742i	$0.857546\pi$
$252$	−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	0.922801	−	0.385277i	$-0.125894\pi$
$257$	1.37945	+	2.60191i	0.0860474	+	0.162303i	−0.836754	+	0.547580i	$0.815549\pi$
$258$	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	0.182422	−	0.983220i	$-0.441606\pi$
$263$	−9.74362	−	5.86254i	−0.600817	−	0.361500i	−0.783239	+	0.621721i	$0.786434\pi$
$264$	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	−0.512989	−	0.858395i	$-0.671462\pi$
$269$	6.05399	−	21.8045i	0.369118	−	1.32944i	0.882107	−	0.471048i	$-0.156124\pi$
$270$	0.759783	+	2.73649i	0.0462389	+	0.166538i
$271$	−17.1052	+	10.2919i	−1.03907	+	0.625186i	−0.929511	−	0.368794i	$-0.879771\pi$
$271$	−17.1052	+	10.2919i	−1.03907	+	0.625186i	−0.109557	+	0.993981i	$0.534943\pi$
$272$	−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	−0.748989	−	0.662582i	$-0.769461\pi$
$277$	−1.26536	−	23.3383i	−0.0760283	−	1.40226i	0.672961	−	0.739678i	$-0.265022\pi$
$278$	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	0.138715	+	0.990332i	$0.455703\pi$
$281$	−12.7201	+	23.9926i	−0.758817	+	1.43128i	−0.897532	+	0.440949i	$0.854642\pi$
$282$	−1.89238	+	11.5430i	−0.112690	+	0.687377i
$283$	10.2947	−	7.82584i	0.611957	−	0.465198i	−0.252710	−	0.967542i	$-0.581322\pi$
$283$	10.2947	−	7.82584i	0.611957	−	0.465198i	0.864668	+	0.502344i	$0.167529\pi$
$284$	−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	0.999305	−	0.0372768i	$-0.0118683\pi$
$293$	33.6736	+	3.66223i	1.96723	+	0.213950i	0.967928	+	0.251226i	$0.0808338\pi$
$294$	−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	0.181159	−	0.983454i	$-0.442015\pi$
$307$	20.6267	−	15.6800i	1.17723	−	0.894908i	0.996072	+	0.0885463i	$0.0282221\pi$
$308$	−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	−0.199103	−	0.979979i	$-0.563803\pi$
$311$	−18.9561	−	8.77002i	−1.07490	−	0.497302i	−0.875799	+	0.482676i	$0.839665\pi$
$312$	−0.528722	−	1.32699i	−0.0299330	−	0.0751262i
$313$	−1.05900	−	19.5322i	−0.0598585	−	1.10402i	−0.862006	−	0.506898i	$-0.830792\pi$
$313$	−1.05900	−	19.5322i	−0.0598585	−	1.10402i	0.802147	−	0.597126i	$-0.203691\pi$
$314$	−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	−0.170871	−	0.985293i	$-0.554658\pi$
$317$	5.15215	−	1.73596i	0.289374	−	0.0975013i	0.460245	+	0.887792i	$0.347762\pi$
$318$	−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	0.912213	+	0.409717i	$0.134373\pi$
$331$	−0.708648	+	13.0702i	−0.0389508	+	0.718405i	−0.951163	+	0.308688i	$0.900110\pi$
$332$	−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	0.999003	−	0.0446530i	$-0.0142182\pi$
$337$	4.46132	+	11.1971i	0.243023	+	0.609943i	−0.755979	+	0.654596i	$0.772839\pi$
$338$	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	0.293347	+	0.956006i	$0.405231\pi$
$347$	−10.7496	+	26.9794i	−0.577067	+	1.44833i	−0.870413	+	0.492322i	$0.836148\pi$
$348$	0.973971	−	0.922594i	0.0522103	−	0.0494562i
$349$	−25.8606	−	19.6587i	−1.38429	−	1.05231i	−0.991139	−	0.132830i	$-0.957593\pi$
$349$	−25.8606	−	19.6587i	−1.38429	−	1.05231i	−0.393146	−	0.919476i	$-0.628613\pi$
$350$	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	0.390813	−	0.920470i	$-0.372194\pi$
$359$	−7.41887	−	5.63968i	−0.391553	−	0.297651i	−0.782366	+	0.622820i	$0.785987\pi$
$360$	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	−0.645663	−	0.763623i	$-0.723419\pi$
$367$	4.02355	−	24.5426i	0.210028	−	1.28111i	0.855690	−	0.517488i	$-0.173133\pi$
$368$	−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	0.986090	+	0.166213i	$0.0531541\pi$
$373$	14.9776	+	22.0903i	0.775509	+	1.14379i	−0.210581	+	0.977576i	$0.567536\pi$
$374$	−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	0.992870	+	0.119204i	$0.0380343\pi$
$379$	3.96325	+	14.2743i	0.203578	+	0.733223i	−0.789291	+	0.614019i	$0.789552\pi$
$380$	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	0.231588	−	0.972814i	$-0.425608\pi$
$383$	13.0513	−	1.41941i	0.666888	−	0.0725284i	0.435300	+	0.900286i	$0.356642\pi$
$384$	−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	−0.341761	−	0.939787i	$-0.611023\pi$
$389$	6.47840	−	3.89792i	0.328468	−	0.197633i	0.670229	+	0.742154i	$0.266196\pi$
$390$	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	−0.999268	−	0.0382676i	$-0.987816\pi$
$397$	−33.3810	−	15.4437i	−1.67535	−	0.775097i	−0.676078	−	0.736830i	$-0.736322\pi$
$398$	−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	−0.895874	−	0.444309i	$-0.853449\pi$
$401$	−14.1663	+	10.7689i	−0.707432	+	0.537776i	0.188442	+	0.982084i	$0.439656\pi$
$402$	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	0.208066	−	0.978115i	$-0.433283\pi$
$409$	−0.279054	−	0.0614244i	−0.0137983	−	0.00303724i	−0.221864	+	0.975078i	$0.571214\pi$
$410$	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	−0.866343	−	0.499449i	$-0.833536\pi$
$419$	−8.48520	+	8.03761i	−0.414529	+	0.392663i	0.451814	+	0.892112i	$0.350777\pi$
$420$	−2.08040	+	5.22141i	−0.101513	+	0.254779i
$421$	−22.4977	−	7.58036i	−1.09647	−	0.369444i	−0.287791	−	0.957693i	$-0.592921\pi$
$421$	−22.4977	−	7.58036i	−1.09647	−	0.369444i	−0.808680	+	0.588249i	$0.799817\pi$
$422$	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	−0.995480	−	0.0949696i	$-0.969725\pi$
$431$	−0.334319	−	6.16615i	−0.0161036	−	0.297013i	0.979377	−	0.202043i	$-0.0647582\pi$
$432$	0.561187	+	0.827689i	0.0270001	+	0.0398222i
$433$	−19.9468	−	23.4832i	−0.958583	−	1.12853i	−0.991634	−	0.129078i	$-0.958798\pi$
$433$	−19.9468	−	23.4832i	−0.958583	−	1.12853i	0.0330514	−	0.999454i	$-0.489477\pi$
$434$	−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	−0.999788	−	0.0206138i	$-0.993438\pi$
$439$	−2.77587	+	9.99777i	−0.132485	+	0.477167i	0.867303	+	0.497781i	$0.165852\pi$
$440$	−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	0.378149	−	0.925745i	$-0.376561\pi$
$443$	19.9208	−	2.16652i	0.946465	−	0.102934i	0.568316	+	0.822810i	$0.307595\pi$
$444$	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	0.993602	+	0.112937i	$0.0360258\pi$
$449$	−0.135319	+	2.49581i	−0.00638610	+	0.117785i	−0.999988	+	0.00484765i	$0.998457\pi$
$450$	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	−0.494142	−	0.869381i	$-0.664518\pi$
$457$	−12.3470	+	2.71778i	−0.577568	+	0.127132i	−0.0834269	+	0.996514i	$0.526587\pi$
$458$	−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	0.496799	−	0.867865i	$-0.334508\pi$
$461$	31.7743	−	14.7003i	1.47987	−	0.684663i	0.983075	+	0.183202i	$0.0586464\pi$
$462$	−1.34843	−	1.27730i	−0.0627345	−	0.0594253i
$463$	0.610329	+	3.72284i	0.0283644	+	0.173015i	0.997210	−	0.0746516i	$-0.0237845\pi$
$463$	0.610329	+	3.72284i	0.0283644	+	0.173015i	−0.968845	+	0.247667i	$0.920336\pi$
$464$	−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	0.862360	+	0.506296i	$0.168986\pi$
$467$	34.1637	+	25.9706i	1.58091	+	1.20177i	0.718547	+	0.695478i	$0.244808\pi$
$468$	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	−0.588790	−	0.808286i	$-0.700395\pi$
$479$	8.63464	−	21.6713i	0.394527	−	0.990188i	0.983317	−	0.181902i	$-0.0582253\pi$
$480$	−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	0.402603	−	0.915375i	$-0.368105\pi$
$487$	25.4302	−	5.59761i	1.15235	−	0.253652i	0.749749	+	0.661723i	$0.230174\pi$
$488$	−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	0.785103	+	0.619365i	$0.212610\pi$
$491$	23.7070	+	34.9652i	1.06988	+	1.57796i	0.284779	+	0.958593i	$0.408080\pi$
$492$	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	0.760985	−	0.648769i	$-0.224716\pi$
$499$	12.1574	+	7.31489i	0.544242	+	0.327459i	−0.216744	+	0.976229i	$0.569544\pi$
$500$	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	−0.959297	−	0.282400i	$-0.908869\pi$
$503$	−7.66759	+	11.3088i	−0.341881	+	0.504237i	0.617416	+	0.786637i	$0.288180\pi$
$504$	−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	0.438003	−	0.898974i	$-0.355686\pi$
$509$	30.0226	−	10.1158i	1.33073	−	0.448375i	0.892727	+	0.450598i	$0.148789\pi$
$510$	−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	0.925781	−	0.378061i	$-0.123409\pi$
$521$	13.6586	+	12.9381i	0.598394	+	0.566829i	−0.327386	+	0.944891i	$0.606168\pi$
$522$	0.217041	+	1.32389i	0.00949963	+	0.0579452i
$523$	12.3924	+	4.17547i	0.541880	+	0.182581i	0.576913	−	0.816805i	$-0.304257\pi$
$523$	12.3924	+	4.17547i	0.541880	+	0.182581i	−0.0350329	+	0.999386i	$0.511154\pi$
$524$	−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	−0.896422	−	0.443201i	$-0.853843\pi$
$541$	−32.2725	−	30.5702i	−1.38750	−	1.31431i	−0.491082	−	0.871113i	$-0.663399\pi$
$542$	−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	0.629857	−	0.776711i	$-0.283114\pi$
$547$	10.4226	+	4.82200i	0.445637	+	0.206174i	−0.184219	+	0.982885i	$0.558976\pi$
$548$	−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	−0.652334	−	0.757931i	$-0.726210\pi$
$557$	7.01836	−	25.2779i	0.297378	−	1.07106i	0.949712	−	0.313126i	$-0.101376\pi$
$558$	−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	0.487660	−	0.873034i	$-0.337851\pi$
$563$	−1.31099	−	0.788796i	−0.0552516	−	0.0332438i	−0.542912	+	0.839790i	$0.682678\pi$
$564$	−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	0.968295	−	0.249808i	$-0.0803677\pi$
$569$	5.20337	+	9.81460i	0.218137	+	0.411450i	−0.750159	+	0.661258i	$0.770023\pi$
$570$	4.67850	+	5.50795i	0.195961	+	0.230703i
$571$	18.1364	+	26.7491i	0.758983	+	1.11942i	0.989242	+	0.146287i	$0.0467323\pi$
$571$	18.1364	+	26.7491i	0.758983	+	1.11942i	−0.230259	+	0.973129i	$0.573957\pi$
$572$	−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	−0.871051	−	0.491193i	$-0.836561\pi$
$577$	2.67212	−	16.2992i	0.111242	−	0.678545i	0.982293	−	0.187352i	$-0.0599906\pi$
$578$	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	−0.978315	−	0.207120i	$-0.933591\pi$
$587$	−14.9160	+	17.5605i	−0.615650	+	0.724799i	0.362666	+	0.931919i	$0.381867\pi$
$588$	−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	0.0442807	−	0.999019i	$-0.485900\pi$
$593$	24.9111	−	29.3276i	1.02298	−	1.20434i	0.978695	−	0.205321i	$-0.0658237\pi$
$594$	−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	0.960366	−	0.278744i	$-0.0899179\pi$
$599$	−0.947925	−	5.78208i	−0.0387312	−	0.236250i	−0.999097	+	0.0424940i	$0.986470\pi$
$600$	−2.22565	−	2.10825i	−0.0908618	−	0.0860688i
$601$	−3.08151	+	1.42566i	−0.125697	+	0.0581538i	−0.481730	−	0.876320i	$-0.659991\pi$
$601$	−3.08151	+	1.42566i	−0.125697	+	0.0581538i	0.356032	+	0.934474i	$0.384129\pi$
$602$	−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	0.941712	−	0.336420i	$-0.109216\pi$
$607$	0.657263	+	1.64961i	0.0266775	+	0.0669554i	−0.915035	+	0.403375i	$0.867837\pi$
$608$	−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	−0.805333	−	0.592823i	$-0.798014\pi$
$613$	1.47004	−	27.1134i	0.0593745	−	1.09510i	0.864708	−	0.502276i	$-0.167504\pi$
$614$	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	−0.0209258	−	0.999781i	$-0.506661\pi$
$617$	−22.7044	−	13.6608i	−0.914046	−	0.549963i	−0.893120	+	0.449818i	$0.851489\pi$
$618$	−4.66062	+	6.87390i	−0.187478	+	0.276509i
$619$	17.2296	−	1.87384i	0.692518	−	0.0753159i	0.244910	−	0.969546i	$-0.421242\pi$
$619$	17.2296	−	1.87384i	0.692518	−	0.0753159i	0.447608	+	0.894230i	$0.352276\pi$
$620$	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	−0.996605	−	0.0823286i	$-0.973764\pi$
$631$	−0.370351	−	6.83072i	−0.0147434	−	0.271927i	0.981862	−	0.189598i	$-0.0607185\pi$
$632$	−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	0.0404843	−	0.999180i	$-0.487110\pi$
$641$	−13.4683	−	4.53799i	−0.531964	−	0.179240i	−0.572449	+	0.819940i	$0.694006\pi$
$642$	−4.93594	+	12.3883i	−0.194806	+	0.488927i
$643$	−3.45825	+	3.27583i	−0.136380	+	0.129186i	−0.752849	−	0.658193i	$-0.771321\pi$
$643$	−3.45825	+	3.27583i	−0.136380	+	0.129186i	0.616469	+	0.787379i	$0.288562\pi$
$644$	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	0.151038	−	0.988528i	$-0.451738\pi$
$647$	2.18853	+	0.238017i	0.0860402	+	0.00935743i	−0.0649977	+	0.997885i	$0.520704\pi$
$648$	−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	0.322368	−	0.946614i	$-0.395521\pi$
$653$	5.55716	+	1.22322i	0.217469	+	0.0478684i	−0.104900	+	0.994483i	$0.533452\pi$
$654$	−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	0.648115	−	0.761542i	$-0.275558\pi$
$659$	−1.98236	−	1.87780i	−0.0772219	−	0.0731485i	−0.725337	+	0.688394i	$0.758316\pi$
$660$	2.41898	−	1.11914i	0.0941587	−	0.0435625i
$661$	2.75152	−	2.09165i	0.107022	−	0.0813557i	−0.550295	−	0.834970i	$-0.685485\pi$
$661$	2.75152	−	2.09165i	0.107022	−	0.0813557i	0.657316	+	0.753615i	$0.271692\pi$
$662$	−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	−0.0928839	−	0.995677i	$-0.529609\pi$
$673$	19.2829	−	11.6021i	0.743301	−	0.447229i	0.836185	+	0.548448i	$0.184781\pi$
$674$	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	0.104239	+	0.994552i	$0.466759\pi$
$677$	−22.3312	+	32.9361i	−0.858259	+	1.26584i	−0.962499	+	0.271286i	$0.912551\pi$
$678$	−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	0.922829	−	0.385210i	$-0.125871\pi$
$683$	−1.73794	−	6.25948i	−0.0665003	−	0.239512i	−0.989329	+	0.145698i	$0.953457\pi$
$684$	−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	0.940998	−	0.338412i	$-0.109890\pi$
$691$	0.660123	+	1.65678i	0.0251123	+	0.0630270i	−0.915886	+	0.401439i	$0.868510\pi$
$692$	−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	0.358254	+	0.933624i	$0.383372\pi$
$701$	−14.4002	+	36.1419i	−0.543890	+	1.36506i	−0.902143	+	0.431436i	$0.858007\pi$
$702$	−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	−0.806956	−	0.590612i	$-0.798886\pi$
$719$	−23.5757	+	10.9073i	−0.879225	+	0.406773i	−0.0722698	+	0.997385i	$0.523024\pi$
$720$	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	−0.997589	−	0.0693947i	$-0.977893\pi$
$727$	−18.6802	−	27.5512i	−0.692810	−	1.02182i	0.304780	−	0.952423i	$-0.401417\pi$
$728$	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	0.672304	+	0.740275i	$0.265305\pi$
$733$	12.9383	+	46.5996i	0.477887	+	1.72119i	−0.194417	+	0.980919i	$0.562281\pi$
$734$	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	−0.0319879	+	0.999488i	$0.510184\pi$
$739$	−25.7886	+	38.0354i	−0.948649	+	1.39915i	−0.916661	+	0.399665i	$0.869127\pi$
$740$	−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	−0.788970	−	0.614431i	$-0.789386\pi$
$743$	−16.7820	+	10.0974i	−0.615673	+	0.370438i	0.173297	+	0.984870i	$0.444558\pi$
$744$	−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	0.163611	−	0.986525i	$-0.447686\pi$
$751$	−13.2188	−	6.11568i	−0.482362	−	0.223164i	−0.645973	+	0.763361i	$0.723548\pi$
$752$	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	0.394687	−	0.918816i	$-0.370853\pi$
$757$	−13.7957	−	13.0680i	−0.501413	−	0.474964i	−0.896100	+	0.443852i	$0.853612\pi$
$758$	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	−0.701150	−	0.713014i	$-0.747330\pi$
$761$	−0.748733	+	0.709237i	−0.0271415	+	0.0257098i	0.674009	+	0.738724i	$0.264571\pi$
$762$	−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	0.417182	−	0.908823i	$-0.363018\pi$
$769$	17.4494	+	1.89773i	0.629241	+	0.0684340i	0.212058	+	0.977257i	$0.431983\pi$
$770$	−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	−0.544778	−	0.838580i	$-0.683386\pi$
$773$	7.31436	−	6.92853i	0.263079	−	0.249202i	0.807857	+	0.589379i	$0.200627\pi$
$774$	−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	−0.802409	−	0.596774i	$-0.796449\pi$
$787$	−35.3897	−	41.6640i	−1.26151	−	1.48516i	−0.459098	−	0.888386i	$-0.651827\pi$
$788$	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	−0.0866155	−	0.996242i	$-0.527605\pi$
$797$	1.21271	−	0.131891i	0.0429565	−	0.00467180i	0.129572	+	0.991570i	$0.458640\pi$
$798$	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	−0.817954	−	0.575284i	$-0.804892\pi$
$809$	−17.6274	−	44.2414i	−0.619745	−	1.55544i	0.198208	−	0.980160i	$-0.436488\pi$
$810$	−2.57752	−	1.19249i	−0.0905649	−	0.0418998i
$811$	−12.4564	+	2.74187i	−0.437405	+	0.0962801i	−0.428213	−	0.903678i	$-0.640857\pi$
$811$	−12.4564	+	2.74187i	−0.437405	+	0.0962801i	−0.00919151	+	0.999958i	$0.502926\pi$
$812$	−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	0.830746	−	0.556651i	$-0.187914\pi$
$821$	14.8031	+	11.2531i	0.516633	+	0.392735i	−0.314113	+	0.949386i	$0.601707\pi$
$822$	4.01784	+	0.884394i	0.140138	+	0.0308468i
$823$	1.11621	−	1.31411i	0.0389088	−	0.0458070i	−0.742363	−	0.669997i	$-0.766295\pi$
$823$	1.11621	−	1.31411i	0.0389088	−	0.0458070i	0.781272	+	0.624190i	$0.214571\pi$
$824$	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	−0.00146658	−	0.999999i	$-0.500467\pi$
$829$	28.3776	−	33.4087i	0.985596	−	1.16033i	0.987063	−	0.160335i	$-0.0512573\pi$
$830$	−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	−0.444071	−	0.895992i	$-0.646466\pi$
$839$	7.61346	−	46.4400i	0.262846	−	1.60329i	0.706917	−	0.707297i	$-0.250086\pi$
$840$	−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	0.0970558	−	0.995279i	$-0.469057\pi$
$853$	−21.5198	−	12.9480i	−0.736823	−	0.443332i	−0.833879	+	0.551947i	$0.813885\pi$
$854$	−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	−0.966788	−	0.255579i	$-0.917734\pi$
$857$	−10.8760	+	16.0409i	−0.371516	+	0.547945i	0.595272	+	0.803524i	$0.297044\pi$
$858$	1.14869	+	0.691143i	0.0392156	+	0.0235952i
$859$	−12.4218	+	44.7393i	−0.423827	+	1.52649i	0.376210	+	0.926534i	$0.377227\pi$
$859$	−12.4218	+	44.7393i	−0.423827	+	1.52649i	−0.800037	+	0.599951i	$0.795187\pi$
$860$	−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	0.0779758	−	0.996955i	$-0.475154\pi$
$863$	21.8383	−	7.35817i	0.743383	−	0.250475i	0.665408	+	0.746480i	$0.268258\pi$
$864$	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	−0.0338641	−	0.999426i	$-0.510781\pi$
$877$	−19.7127	−	6.64198i	−0.665650	−	0.224284i	−0.631786	+	0.775143i	$0.717678\pi$
$878$	−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	0.410985	−	0.911642i	$-0.365185\pi$
$881$	11.9082	+	2.62119i	0.401197	+	0.0883101i	−0.00978834	+	0.999952i	$0.503116\pi$
$882$	1.99605	−	2.34993i	0.0672105	−	0.0791263i
$883$	−6.41228	−	0.697377i	−0.215790	−	0.0234686i	−0.000414805	−	1.00000i	$-0.500132\pi$
$883$	−6.41228	−	0.697377i	−0.215790	−	0.0234686i	−0.215376	+	0.976531i	$0.569098\pi$
$884$	−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	−0.322136	−	0.946693i	$-0.604401\pi$
$887$	−25.0248	−	2.72162i	−0.840252	−	0.0913829i	−0.518116	+	0.855310i	$0.673366\pi$
$888$	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	0.481514	−	0.876439i	$-0.340087\pi$
$907$	42.0197	−	14.1581i	1.39524	−	0.470112i	0.913728	+	0.406327i	$0.133191\pi$
$908$	−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	−0.994839	−	0.101465i	$-0.967647\pi$
$911$	−2.71927	+	9.79391i	−0.0900933	+	0.324487i	0.904746	+	0.425952i	$0.140061\pi$
$912$	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	0.962230	−	0.272236i	$-0.0877633\pi$
$919$	−0.0793079	−	0.285641i	−0.00261612	−	0.00942243i	−0.964847	+	0.262814i	$0.915349\pi$
$920$	−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	−0.763962	−	0.645261i	$-0.776749\pi$
$929$	−36.1602	+	7.95946i	−1.18638	+	0.261141i	−0.422415	+	0.906402i	$0.638818\pi$
$930$	−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	−0.836144	−	0.548510i	$-0.815195\pi$
$937$	4.53350	−	11.3782i	0.148103	−	0.371710i	0.984247	+	0.176800i	$0.0565745\pi$
$938$	−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	−0.904253	−	0.426997i	$-0.859572\pi$
$941$	−10.3251	+	12.1557i	−0.336589	+	0.396264i	0.567664	+	0.823261i	$0.307847\pi$
$942$	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	−0.504478	−	0.863425i	$-0.668315\pi$
$947$	13.2076	−	15.5491i	0.429188	−	0.505279i	0.933666	+	0.358145i	$0.116591\pi$
$948$	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	0.587616	+	0.809140i	$0.300067\pi$
$953$	8.92532	+	54.4420i	0.289119	+	1.76355i	−0.298496	+	0.954411i	$0.596485\pi$
$954$	−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	−0.878232	−	0.478234i	$-0.841277\pi$
$967$	1.44780	−	26.7030i	0.0465580	−	0.858712i	0.924790	−	0.380477i	$-0.124240\pi$
$968$	−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	0.943669	−	0.330890i	$-0.107349\pi$
$971$	34.0696	+	20.4990i	1.09335	+	0.657845i	0.149677	+	0.988735i	$0.452177\pi$
$972$	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	−0.779036	−	0.626980i	$-0.784291\pi$
$977$	6.61800	−	23.8359i	0.211728	−	0.762577i	0.990764	−	0.135597i	$-0.0432953\pi$
$978$	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	0.995808	+	0.0914629i	$0.0291543\pi$
$983$	29.0002	+	34.1417i	0.924963	+	1.08895i	−0.0708459	+	0.997487i	$0.522570\pi$
$984$	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	0.394048	−	0.919090i	$-0.371074\pi$
$991$	43.6018	−	33.1452i	1.38506	−	1.05289i	0.991008	−	0.133803i	$-0.0427188\pi$
$992$	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	−0.608250	−	0.793745i	$-0.708128\pi$
$997$	4.78052	−	4.52835i	0.151401	−	0.143414i	0.759651	+	0.650331i	$0.225370\pi$
$998$	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.181.2	yes	56
59.15	even	29	inner	354.2.e.b.133.2	✓	56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
354.2.e.b.133.2	✓	56	59.15	even	29	inner
354.2.e.b.181.2	yes	56	1.1	even	1	trivial

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

Introduction

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