LMFDB - Embedded newform 354.2.e.d.19.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("354.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 354 = 2 \cdot 3 \cdot 59 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	354.e (of order $29$, degree $28$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.82670423155$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$3$ over $\Q(\zeta_{29})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label			19.1
Character	$\chi$	$=$	354.19
Dual form			354.2.e.d.205.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.468408 + 0.883512i) q^{2} +(-0.725995 + 0.687699i) q^{3} +(-0.561187 - 0.827689i) q^{4} +(-0.363688 + 0.0800537i) q^{5} +(-0.267528 - 0.963550i) q^{6} +(2.14232 - 1.62855i) q^{7} +(0.994138 - 0.108119i) q^{8} +(0.0541389 - 0.998533i) q^{9} +O(q^{10})$	\(q+(-0.468408 + 0.883512i) q^{2} +(-0.725995 + 0.687699i) q^{3} +(-0.561187 - 0.827689i) q^{4} +(-0.363688 + 0.0800537i) q^{5} +(-0.267528 - 0.963550i) q^{6} +(2.14232 - 1.62855i) q^{7} +(0.994138 - 0.108119i) q^{8} +(0.0541389 - 0.998533i) q^{9} +(0.0996260 - 0.358820i) q^{10} +(2.05757 + 5.16411i) q^{11} +(0.976621 + 0.214970i) q^{12} +(0.130196 + 2.40133i) q^{13} +(0.435363 + 2.65560i) q^{14} +(0.208983 - 0.308226i) q^{15} +(-0.370138 + 0.928977i) q^{16} +(1.28633 + 0.977843i) q^{17} +(0.856857 + 0.515554i) q^{18} +(2.25662 - 0.760342i) q^{19} +(0.270356 + 0.256095i) q^{20} +(-0.435363 + 2.65560i) q^{21} +(-5.52633 - 0.601025i) q^{22} +(-3.61083 + 2.17256i) q^{23} +(-0.647386 + 0.762162i) q^{24} +(-4.41202 + 2.04122i) q^{25} +(-2.18259 - 1.00977i) q^{26} +(0.647386 + 0.762162i) q^{27} +(-2.55018 - 0.859256i) q^{28} +(2.37507 + 4.47986i) q^{29} +(0.174433 + 0.329015i) q^{30} +(-0.318272 - 0.107238i) q^{31} +(-0.647386 - 0.762162i) q^{32} +(-5.04514 - 2.33413i) q^{33} +(-1.46646 + 0.678458i) q^{34} +(-0.648765 + 0.763786i) q^{35} +(-0.856857 + 0.515554i) q^{36} +(5.19076 + 0.564530i) q^{37} +(-0.385246 + 2.34990i) q^{38} +(-1.74591 - 1.65382i) q^{39} +(-0.352900 + 0.118906i) q^{40} +(2.37616 + 1.42969i) q^{41} +(-2.14232 - 1.62855i) q^{42} +(3.43630 - 8.62446i) q^{43} +(3.11959 - 4.60106i) q^{44} +(0.0602467 + 0.367488i) q^{45} +(-0.228143 - 4.20786i) q^{46} +(6.08327 + 1.33903i) q^{47} +(-0.370138 - 0.928977i) q^{48} +(0.0646724 - 0.232929i) q^{49} +(0.263187 - 4.85419i) q^{50} +(-1.60633 + 0.174699i) q^{51} +(1.91449 - 1.45536i) q^{52} +(2.04580 + 7.36831i) q^{53} +(-0.976621 + 0.214970i) q^{54} +(-1.16172 - 1.71341i) q^{55} +(1.95369 - 1.85063i) q^{56} +(-1.11541 + 2.10388i) q^{57} -5.07052 q^{58} +(-6.37787 - 4.28052i) q^{59} -0.372394 q^{60} +(-2.10039 + 3.96175i) q^{61} +(0.243828 - 0.230966i) q^{62} +(-1.51018 - 2.22735i) q^{63} +(0.976621 - 0.214970i) q^{64} +(-0.239586 - 0.862910i) q^{65} +(4.42542 - 3.36412i) q^{66} +(9.14743 - 0.994843i) q^{67} +(0.0874778 - 1.61343i) q^{68} +(1.12737 - 4.06043i) q^{69} +(-0.370927 - 0.930956i) q^{70} +(-2.61665 - 0.575969i) q^{71} +(-0.0541389 - 0.998533i) q^{72} +(-1.06048 - 6.46866i) q^{73} +(-2.93017 + 4.32167i) q^{74} +(1.79936 - 4.51606i) q^{75} +(-1.89571 - 1.44108i) q^{76} +(12.8180 + 7.71234i) q^{77} +(2.27897 - 0.767873i) q^{78} +(-9.76411 - 9.24906i) q^{79} +(0.0602467 - 0.367488i) q^{80} +(-0.994138 - 0.108119i) q^{81} +(-2.37616 + 1.42969i) q^{82} +(9.54766 - 11.2404i) q^{83} +(2.44233 - 1.12994i) q^{84} +(-0.546102 - 0.252654i) q^{85} +(6.01022 + 7.07578i) q^{86} +(-4.80509 - 1.61902i) q^{87} +(2.60385 + 4.91137i) q^{88} +(-1.92249 - 3.62620i) q^{89} +(-0.352900 - 0.118906i) q^{90} +(4.18961 + 4.93239i) q^{91} +(3.82455 + 1.76943i) q^{92} +(0.304812 - 0.141021i) q^{93} +(-4.03251 + 4.74743i) q^{94} +(-0.759835 + 0.457178i) q^{95} +(0.994138 + 0.108119i) q^{96} +(-0.314337 + 1.91737i) q^{97} +(0.175502 + 0.166245i) q^{98} +(5.26793 - 1.77497i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 2 q^{5} + 3 q^{6} - 7 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) $ 84 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 2 * q^5 + 3 * q^6 - 7 * q^7 + 3 * q^8 - 3 * q^9	\( 84 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 2 q^{5} + 3 q^{6} - 7 q^{7} + 3 q^{8} - 3 q^{9} + 2 q^{10} + 30 q^{11} - 3 q^{12} - 3 q^{13} + 7 q^{14} - 2 q^{15} - 3 q^{16} + 3 q^{17} + 3 q^{18} - 4 q^{19} - 2 q^{20} - 7 q^{21} - q^{22} + 2 q^{23} + 3 q^{24} - 67 q^{25} + 32 q^{26} - 3 q^{27} - 7 q^{28} + 4 q^{29} + 2 q^{30} - 6 q^{31} + 3 q^{32} + q^{33} + 26 q^{34} + 79 q^{35} - 3 q^{36} + 55 q^{37} + 4 q^{38} - 3 q^{39} + 2 q^{40} + q^{41} + 7 q^{42} + 51 q^{43} + q^{44} - 2 q^{45} - 31 q^{46} - 62 q^{47} - 3 q^{48} - 70 q^{49} + 9 q^{50} + 3 q^{51} - 32 q^{52} - 27 q^{53} + 3 q^{54} - 83 q^{55} + 7 q^{56} - 4 q^{57} - 120 q^{58} - 55 q^{59} + 56 q^{60} - 46 q^{61} - 23 q^{62} - 7 q^{63} - 3 q^{64} - 121 q^{65} - q^{66} + 8 q^{67} - 26 q^{68} - 27 q^{69} - 50 q^{70} - 61 q^{71} + 3 q^{72} + 49 q^{73} - 26 q^{74} - 9 q^{75} + 25 q^{76} + 77 q^{77} + 3 q^{78} - 5 q^{79} - 2 q^{80} - 3 q^{81} - q^{82} + 75 q^{83} - 7 q^{84} + 189 q^{85} + 65 q^{86} - 25 q^{87} - 30 q^{88} + 54 q^{89} + 2 q^{90} - 161 q^{91} + 2 q^{92} + 23 q^{93} + 33 q^{94} - 54 q^{95} + 3 q^{96} + 28 q^{97} + 12 q^{98} + q^{99}+O(q^{100}) \) 84 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 2 * q^5 + 3 * q^6 - 7 * q^7 + 3 * q^8 - 3 * q^9 + 2 * q^10 + 30 * q^11 - 3 * q^12 - 3 * q^13 + 7 * q^14 - 2 * q^15 - 3 * q^16 + 3 * q^17 + 3 * q^18 - 4 * q^19 - 2 * q^20 - 7 * q^21 - q^22 + 2 * q^23 + 3 * q^24 - 67 * q^25 + 32 * q^26 - 3 * q^27 - 7 * q^28 + 4 * q^29 + 2 * q^30 - 6 * q^31 + 3 * q^32 + q^33 + 26 * q^34 + 79 * q^35 - 3 * q^36 + 55 * q^37 + 4 * q^38 - 3 * q^39 + 2 * q^40 + q^41 + 7 * q^42 + 51 * q^43 + q^44 - 2 * q^45 - 31 * q^46 - 62 * q^47 - 3 * q^48 - 70 * q^49 + 9 * q^50 + 3 * q^51 - 32 * q^52 - 27 * q^53 + 3 * q^54 - 83 * q^55 + 7 * q^56 - 4 * q^57 - 120 * q^58 - 55 * q^59 + 56 * q^60 - 46 * q^61 - 23 * q^62 - 7 * q^63 - 3 * q^64 - 121 * q^65 - q^66 + 8 * q^67 - 26 * q^68 - 27 * q^69 - 50 * q^70 - 61 * q^71 + 3 * q^72 + 49 * q^73 - 26 * q^74 - 9 * q^75 + 25 * q^76 + 77 * q^77 + 3 * q^78 - 5 * q^79 - 2 * q^80 - 3 * q^81 - q^82 + 75 * q^83 - 7 * q^84 + 189 * q^85 + 65 * q^86 - 25 * q^87 - 30 * q^88 + 54 * q^89 + 2 * q^90 - 161 * q^91 + 2 * q^92 + 23 * q^93 + 33 * q^94 - 54 * q^95 + 3 * q^96 + 28 * q^97 + 12 * q^98 + q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$61$	$119$
$\chi(n)$	$e\left(\frac{19}{29}\right)$	$1$

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 $

$2$	−0.468408	+	0.883512i	−0.331215	+	0.624737i
$2$	−0.468408	+	0.883512i	−0.331215	+	0.624737i
$3$	−0.725995	+	0.687699i	−0.419154	+	0.397043i
$3$	−0.725995	+	0.687699i	−0.419154	+	0.397043i
$4$	−0.561187	−	0.827689i	−0.280594	−	0.413844i
$5$	−0.363688	+	0.0800537i	−0.162646	+	0.0358011i	−0.295547	−	0.955328i	$-0.595502\pi$
$5$	−0.363688	+	0.0800537i	−0.162646	+	0.0358011i	0.132901	+	0.991129i	$0.457571\pi$
$6$	−0.267528	−	0.963550i	−0.109218	−	0.393368i
$7$	2.14232	−	1.62855i	0.809723	−	0.615535i	−0.116210	−	0.993225i	$-0.537074\pi$
$7$	2.14232	−	1.62855i	0.809723	−	0.615535i	0.925932	+	0.377690i	$0.123281\pi$
$8$	0.994138	−	0.108119i	0.351481	−	0.0382258i
$9$	0.0541389	−	0.998533i	0.0180463	−	0.332844i
$10$	0.0996260	−	0.358820i	0.0315045	−	0.113469i
$11$	2.05757	+	5.16411i	0.620380	+	1.55704i	0.817050	+	0.576567i	$0.195608\pi$
$11$	2.05757	+	5.16411i	0.620380	+	1.55704i	−0.196670	+	0.980470i	$0.563013\pi$
$12$	0.976621	+	0.214970i	0.281926	+	0.0620566i
$13$	0.130196	+	2.40133i	0.0361099	+	0.666008i	0.959425	+	0.281964i	$0.0909860\pi$
$13$	0.130196	+	2.40133i	0.0361099	+	0.666008i	−0.923315	+	0.384044i	$0.874531\pi$
$14$	0.435363	+	2.65560i	0.116356	+	0.709738i
$15$	0.208983	−	0.308226i	0.0539591	−	0.0795837i
$16$	−0.370138	+	0.928977i	−0.0925345	+	0.232244i
$17$	1.28633	+	0.977843i	0.311981	+	0.237162i	0.749433	−	0.662080i	$-0.230326\pi$
$17$	1.28633	+	0.977843i	0.311981	+	0.237162i	−0.437452	+	0.899242i	$0.644119\pi$
$18$	0.856857	+	0.515554i	0.201963	+	0.121517i
$19$	2.25662	−	0.760342i	0.517703	−	0.174434i	−0.0483074	−	0.998833i	$-0.515383\pi$
$19$	2.25662	−	0.760342i	0.517703	−	0.174434i	0.566010	+	0.824398i	$0.308486\pi$
$20$	0.270356	+	0.256095i	0.0604535	+	0.0572646i
$21$	−0.435363	+	2.65560i	−0.0950040	+	0.579499i
$22$	−5.52633	−	0.601025i	−1.17822	−	0.128139i
$23$	−3.61083	+	2.17256i	−0.752909	+	0.453011i	−0.839587	−	0.543226i	$-0.817203\pi$
$23$	−3.61083	+	2.17256i	−0.752909	+	0.453011i	0.0866772	+	0.996236i	$0.472375\pi$
$24$	−0.647386	+	0.762162i	−0.132147	+	0.155576i
$25$	−4.41202	+	2.04122i	−0.882403	+	0.408243i
$26$	−2.18259	−	1.00977i	−0.428040	−	0.198033i
$27$	0.647386	+	0.762162i	0.124590	+	0.146678i
$28$	−2.55018	−	0.859256i	−0.481939	−	0.162384i
$29$	2.37507	+	4.47986i	0.441040	+	0.831890i	0.999996	+	0.00269276i	$0.000857133\pi$
$29$	2.37507	+	4.47986i	0.441040	+	0.831890i	−0.558956	+	0.829197i	$0.688798\pi$
$30$	0.174433	+	0.329015i	0.0318469	+	0.0600696i
$31$	−0.318272	−	0.107238i	−0.0571634	−	0.0192606i	0.290575	−	0.956852i	$-0.406154\pi$
$31$	−0.318272	−	0.107238i	−0.0571634	−	0.0192606i	−0.347738	+	0.937592i	$0.613050\pi$
$32$	−0.647386	−	0.762162i	−0.114443	−	0.134732i
$33$	−5.04514	−	2.33413i	−0.878246	−	0.406320i
$34$	−1.46646	+	0.678458i	−0.251496	+	0.116355i
$35$	−0.648765	+	0.763786i	−0.109661	+	0.129103i
$36$	−0.856857	+	0.515554i	−0.142810	+	0.0859256i
$37$	5.19076	+	0.564530i	0.853356	+	0.0928081i	0.524333	−	0.851514i	$-0.324315\pi$
$37$	5.19076	+	0.564530i	0.853356	+	0.0928081i	0.329024	+	0.944322i	$0.393280\pi$
$38$	−0.385246	+	2.34990i	−0.0624952	+	0.381204i
$39$	−1.74591	−	1.65382i	−0.279570	−	0.264823i
$40$	−0.352900	+	0.118906i	−0.0557985	+	0.0188007i
$41$	2.37616	+	1.42969i	0.371095	+	0.223280i	0.688869	−	0.724886i	$-0.258108\pi$
$41$	2.37616	+	1.42969i	0.371095	+	0.223280i	−0.317774	+	0.948167i	$0.602935\pi$
$42$	−2.14232	−	1.62855i	−0.330568	−	0.251291i
$43$	3.43630	−	8.62446i	0.524031	−	1.31522i	−0.394147	−	0.919048i	$-0.628960\pi$
$43$	3.43630	−	8.62446i	0.524031	−	1.31522i	0.918177	−	0.396170i	$-0.129661\pi$
$44$	3.11959	−	4.60106i	0.470296	−	0.693635i
$45$	0.0602467	+	0.367488i	0.00898104	+	0.0547819i
$46$	−0.228143	−	4.20786i	−0.0336379	−	0.620414i
$47$	6.08327	+	1.33903i	0.887337	+	0.195318i	0.635176	−	0.772368i	$-0.280928\pi$
$47$	6.08327	+	1.33903i	0.887337	+	0.195318i	0.252161	+	0.967685i	$0.418859\pi$
$48$	−0.370138	−	0.928977i	−0.0534248	−	0.134086i
$49$	0.0646724	−	0.232929i	0.00923892	−	0.0332756i
$50$	0.263187	−	4.85419i	0.0372202	−	0.686487i
$51$	−1.60633	+	0.174699i	−0.224931	+	0.0244628i
$52$	1.91449	−	1.45536i	0.265492	−	0.201821i
$53$	2.04580	+	7.36831i	0.281012	+	1.01212i	0.960466	+	0.278397i	$0.0898031\pi$
$53$	2.04580	+	7.36831i	0.281012	+	1.01212i	−0.679454	+	0.733718i	$0.737783\pi$
$54$	−0.976621	+	0.214970i	−0.132901	+	0.0292538i
$55$	−1.16172	−	1.71341i	−0.156646	−	0.231036i
$56$	1.95369	−	1.85063i	0.261073	−	0.247301i
$57$	−1.11541	+	2.10388i	−0.147739	+	0.278665i
$58$	−5.07052			−0.665792
$59$	−6.37787	−	4.28052i	−0.830327	−	0.557276i
$59$	−6.37787	−	4.28052i	−0.830327	−	0.557276i
$60$	−0.372394			−0.0480759
$61$	−2.10039	+	3.96175i	−0.268927	+	0.507250i	−0.980790	−	0.195069i	$-0.937507\pi$
$61$	−2.10039	+	3.96175i	−0.268927	+	0.507250i	0.711863	+	0.702319i	$0.247852\pi$
$62$	0.243828	−	0.230966i	0.0309662	−	0.0293327i
$63$	−1.51018	−	2.22735i	−0.190265	−	0.280620i
$64$	0.976621	−	0.214970i	0.122078	−	0.0268713i
$65$	−0.239586	−	0.862910i	−0.0297170	−	0.107031i
$66$	4.42542	−	3.36412i	0.544731	−	0.414094i
$67$	9.14743	−	0.994843i	1.11754	−	0.121539i	0.469344	−	0.883016i	$-0.344491\pi$
$67$	9.14743	−	0.994843i	1.11754	−	0.121539i	0.648193	+	0.761476i	$0.275525\pi$
$68$	0.0874778	−	1.61343i	0.0106082	−	0.195658i
$69$	1.12737	−	4.06043i	0.135720	−	0.488819i
$70$	−0.370927	−	0.930956i	−0.0443342	−	0.111270i
$71$	−2.61665	−	0.575969i	−0.310539	−	0.0683549i	0.0569664	−	0.998376i	$-0.481857\pi$
$71$	−2.61665	−	0.575969i	−0.310539	−	0.0683549i	−0.367506	+	0.930021i	$0.619788\pi$
$72$	−0.0541389	−	0.998533i	−0.00638033	−	0.117678i
$73$	−1.06048	−	6.46866i	−0.124120	−	0.757100i	−0.973392	−	0.229145i	$-0.926407\pi$
$73$	−1.06048	−	6.46866i	−0.124120	−	0.757100i	0.849272	−	0.527955i	$-0.177041\pi$
$74$	−2.93017	+	4.32167i	−0.340625	+	0.502384i
$75$	1.79936	−	4.51606i	0.207772	−	0.521469i
$76$	−1.89571	−	1.44108i	−0.217453	−	0.165303i
$77$	12.8180	+	7.71234i	1.46075	+	0.878902i
$78$	2.27897	−	0.767873i	0.258042	−	0.0869445i
$79$	−9.76411	−	9.24906i	−1.09855	−	1.04060i	−0.998961	−	0.0455717i	$-0.985489\pi$
$79$	−9.76411	−	9.24906i	−1.09855	−	1.04060i	−0.0995875	−	0.995029i	$-0.531752\pi$
$80$	0.0602467	−	0.367488i	0.00673578	−	0.0410864i
$81$	−0.994138	−	0.108119i	−0.110460	−	0.0120132i
$82$	−2.37616	+	1.42969i	−0.262404	+	0.157883i
$83$	9.54766	−	11.2404i	1.04799	−	1.23379i	0.0764134	−	0.997076i	$-0.475653\pi$
$83$	9.54766	−	11.2404i	1.04799	−	1.23379i	0.971579	−	0.236716i	$-0.0760710\pi$
$84$	2.44233	−	1.12994i	0.266480	−	0.123287i
$85$	−0.546102	−	0.252654i	−0.0592331	−	0.0274042i
$86$	6.01022	+	7.07578i	0.648099	+	0.763001i
$87$	−4.80509	−	1.61902i	−0.515160	−	0.173578i
$88$	2.60385	+	4.91137i	0.277571	+	0.523554i
$89$	−1.92249	−	3.62620i	−0.203783	−	0.384376i	0.760464	−	0.649380i	$-0.224972\pi$
$89$	−1.92249	−	3.62620i	−0.203783	−	0.384376i	−0.964247	+	0.265004i	$0.914627\pi$
$90$	−0.352900	−	0.118906i	−0.0371990	−	0.0125338i
$91$	4.18961	+	4.93239i	0.439190	+	0.517055i
$92$	3.82455	+	1.76943i	0.398737	+	0.184476i
$93$	0.304812	−	0.141021i	0.0316076	−	0.0146232i
$94$	−4.03251	+	4.74743i	−0.415921	+	0.489660i
$95$	−0.759835	+	0.457178i	−0.0779574	+	0.0469054i
$96$	0.994138	+	0.108119i	0.101464	+	0.0110349i
$97$	−0.314337	+	1.91737i	−0.0319161	+	0.194680i	−0.997972	−	0.0636532i	$-0.979725\pi$
$97$	−0.314337	+	1.91737i	−0.0319161	+	0.194680i	0.966056	+	0.258333i	$0.0831731\pi$
$98$	0.175502	+	0.166245i	0.0177284	+	0.0167933i
$99$	5.26793	−	1.77497i	0.529447	−	0.178391i
$100$	4.16546	+	2.50627i	0.416546	+	0.250627i
$101$	1.58392	+	1.20406i	0.157606	+	0.119809i	0.681005	−	0.732279i	$-0.261543\pi$
$101$	1.58392	+	1.20406i	0.157606	+	0.119809i	−0.523399	+	0.852088i	$0.675336\pi$
$102$	0.598071	−	1.50104i	0.0592178	−	0.148625i
$103$	5.83891	−	8.61176i	0.575325	−	0.848541i	−0.423015	−	0.906122i	$-0.639028\pi$
$103$	5.83891	−	8.61176i	0.575325	−	0.848541i	0.998341	+	0.0575810i	$0.0183388\pi$
$104$	0.389062	+	2.37317i	0.0381507	+	0.232709i
$105$	−0.0542542	−	1.00066i	−0.00529467	−	0.0976545i
$106$	−7.46826	−	1.64389i	−0.725382	−	0.159669i
$107$	−7.09558	−	17.8086i	−0.685955	−	1.72162i	−0.692270	−	0.721638i	$-0.743389\pi$
$107$	−7.09558	−	17.8086i	−0.685955	−	1.72162i	0.00631467	−	0.999980i	$-0.497990\pi$
$108$	0.267528	−	0.963550i	0.0257429	−	0.0927176i
$109$	0.434151	−	8.00744i	0.0415841	−	0.766974i	−0.901166	−	0.433474i	$-0.857288\pi$
$109$	0.434151	−	8.00744i	0.0415841	−	0.766974i	0.942750	−	0.333500i	$-0.108230\pi$
$110$	2.05797	−	0.223818i	0.196220	−	0.0213402i
$111$	−4.15670	+	3.15984i	−0.394536	+	0.299919i
$112$	0.719932	+	2.59296i	0.0680271	+	0.245012i
$113$	−10.5238	+	2.31647i	−0.990000	+	0.217915i	−0.680312	−	0.732923i	$-0.738156\pi$
$113$	−10.5238	+	2.31647i	−0.990000	+	0.217915i	−0.309688	+	0.950838i	$0.600225\pi$
$114$	−1.33634	−	1.97095i	−0.125159	−	0.184596i
$115$	1.13929	−	1.07919i	0.106239	−	0.100635i
$116$	2.37507	−	4.47986i	0.220520	−	0.415945i
$117$	2.40485			0.222329
$118$	6.76933	−	3.62989i	0.623168	−	0.334159i
$119$	4.34821			0.398599
$120$	0.174433	−	0.329015i	0.0159234	−	0.0300348i
$121$	−14.4485	+	13.6863i	−1.31350	+	1.24421i
$122$	−2.51642	−	3.71144i	−0.227826	−	0.336018i
$123$	−2.70828	+	0.596138i	−0.244198	+	0.0537520i
$124$	0.0898503	+	0.323611i	0.00806879	+	0.0290612i
$125$	2.92349	−	2.22238i	0.261485	−	0.198776i
$126$	2.67527	−	0.290953i	0.238332	−	0.0259202i
$127$	−0.320596	+	5.91304i	−0.0284483	+	0.524698i	0.949229	+	0.314586i	$0.101866\pi$
$127$	−0.320596	+	5.91304i	−0.0284483	+	0.524698i	−0.977677	+	0.210112i	$0.932617\pi$
$128$	−0.267528	+	0.963550i	−0.0236464	+	0.0851666i
$129$	3.43630	+	8.62446i	0.302549	+	0.759341i
$130$	0.874616	+	0.192517i	0.0767089	+	0.0168849i
$131$	−0.663568	−	12.2388i	−0.0579762	−	1.06931i	−0.872323	−	0.488930i	$-0.837388\pi$
$131$	−0.663568	−	12.2388i	−0.0579762	−	1.06931i	0.814347	−	0.580378i	$-0.197095\pi$
$132$	0.899333	+	5.48569i	0.0782769	+	0.477468i
$133$	3.59615	−	5.30392i	0.311825	−	0.459908i
$134$	−3.40578	+	8.54786i	−0.294214	+	0.738423i
$135$	−0.296460	−	0.225363i	−0.0255152	−	0.0193962i
$136$	1.38451	+	0.833034i	0.118721	+	0.0714321i
$137$	−15.5447	+	5.23763i	−1.32807	+	0.447481i	−0.891839	−	0.452352i	$-0.850585\pi$
$137$	−15.5447	+	5.23763i	−1.32807	+	0.447481i	−0.436235	+	0.899833i	$0.643689\pi$
$138$	3.05937	+	2.89799i	0.260431	+	0.246693i
$139$	−3.17174	+	19.3467i	−0.269023	+	1.64097i	0.413787	+	0.910374i	$0.364206\pi$
$139$	−3.17174	+	19.3467i	−0.269023	+	1.64097i	−0.682810	+	0.730596i	$0.739242\pi$
$140$	0.996256	+	0.108349i	0.0841990	+	0.00915719i
$141$	−5.33728	+	3.21133i	−0.449480	+	0.270443i
$142$	1.73454	−	2.04205i	0.145559	−	0.171365i
$143$	−12.1328	+	5.61324i	−1.01460	+	0.469403i
$144$	0.907575	+	0.419889i	0.0756313	+	0.0349908i
$145$	−1.22241	−	1.43914i	−0.101516	−	0.119514i
$146$	6.21188	+	2.09303i	0.514099	+	0.173220i
$147$	0.113233	+	0.213581i	0.00933932	+	0.0176158i
$148$	−2.44573	−	4.61314i	−0.201038	−	0.379198i
$149$	−13.9539	−	4.70161i	−1.14315	−	0.385171i	−0.316888	−	0.948463i	$-0.602638\pi$
$149$	−13.9539	−	4.70161i	−1.14315	−	0.385171i	−0.826258	+	0.563292i	$0.809535\pi$
$150$	3.14715	+	3.70512i	0.256964	+	0.302521i
$151$	15.4735	+	7.15882i	1.25922	+	0.582577i	0.932029	−	0.362382i	$-0.118037\pi$
$151$	15.4735	+	7.15882i	1.25922	+	0.582577i	0.327189	+	0.944959i	$0.393899\pi$
$152$	2.16118	−	0.999868i	0.175295	−	0.0811000i
$153$	1.04605	−	1.23150i	0.0845681	−	0.0995612i
$154$	−12.8180	+	7.71234i	−1.03290	+	0.621478i
$155$	0.124337	+	0.0135224i	0.00998696	+	0.00108615i
$156$	−0.389062	+	2.37317i	−0.0311499	+	0.190006i
$157$	5.32817	+	5.04711i	0.425234	+	0.402803i	0.870164	−	0.492762i	$-0.164013\pi$
$157$	5.32817	+	5.04711i	0.425234	+	0.402803i	−0.444930	+	0.895566i	$0.646771\pi$
$158$	12.7452	−	4.29437i	1.01396	−	0.341642i
$159$	−6.55243	−	3.94246i	−0.519641	−	0.312658i
$160$	0.296460	+	0.225363i	0.0234372	+	0.0178165i
$161$	−4.19743	+	10.5348i	−0.330804	+	0.830255i
$162$	0.561187	−	0.827689i	0.0440910	−	0.0650294i
$163$	−2.10660	−	12.8497i	−0.165002	−	1.00646i	−0.931373	−	0.364067i	$-0.881388\pi$
$163$	−2.10660	−	12.8497i	−0.165002	−	1.00646i	0.766371	−	0.642398i	$-0.222060\pi$
$164$	−0.150134	−	2.76905i	−0.0117235	−	0.216226i
$165$	2.02171	+	0.445012i	0.157390	+	0.0346442i
$166$	5.45880	+	13.7006i	0.423685	+	1.06337i
$167$	−1.06830	+	3.84767i	−0.0826676	+	0.297742i	−0.993314	−	0.115445i	$-0.963171\pi$
$167$	−1.06830	+	3.84767i	−0.0826676	+	0.297742i	0.910646	+	0.413187i	$0.135584\pi$
$168$	−0.145690	+	2.68710i	−0.0112403	+	0.207314i
$169$	7.17438	−	0.780260i	0.551875	−	0.0600200i
$170$	0.479022	−	0.364143i	0.0367393	−	0.0279285i
$171$	−0.637056	−	2.29447i	−0.0487169	−	0.175463i
$172$	−9.06678	+	1.99575i	−0.691335	+	0.152174i
$173$	−2.07554	−	3.06119i	−0.157800	−	0.232738i	0.740567	−	0.671982i	$-0.234557\pi$
$173$	−2.07554	−	3.06119i	−0.157800	−	0.232738i	−0.898368	+	0.439244i	$0.855246\pi$
$174$	3.68117	−	3.48699i	0.279069	−	0.264348i
$175$	−6.12774	+	11.5582i	−0.463214	+	0.873714i
$176$	−5.55892			−0.419019
$177$	7.57401	−	1.27842i	0.569298	−	0.0960919i
$178$	4.10430			0.307630
$179$	−4.17330	+	7.87167i	−0.311927	+	0.588357i	−0.989062	−	0.147502i	$-0.952877\pi$
$179$	−4.17330	+	7.87167i	−0.311927	+	0.588357i	0.677135	+	0.735859i	$0.263221\pi$
$180$	0.270356	−	0.256095i	0.0201512	−	0.0190882i
$181$	6.85689	+	10.1132i	0.509668	+	0.751705i	0.992265	−	0.124138i	$-0.0396166\pi$
$181$	6.85689	+	10.1132i	0.509668	+	0.751705i	−0.482597	+	0.875843i	$0.660306\pi$
$182$	−6.32027	+	1.39120i	−0.468490	+	0.103122i
$183$	−1.19962	−	4.32065i	−0.0886786	−	0.319392i
$184$	−3.35476	+	2.55023i	−0.247317	+	0.188005i
$185$	−1.93301	+	0.210227i	−0.142118	+	0.0154562i
$186$	−0.0181827	+	0.335361i	−0.00133322	+	0.0245898i
$187$	−2.40297	+	8.65472i	−0.175723	+	0.632896i
$188$	−2.30555	−	5.78650i	−0.168150	−	0.422024i
$189$	2.62813	+	0.578496i	0.191169	+	0.0420794i
$190$	−0.0480087	−	0.885469i	−0.00348292	−	0.0642387i
$191$	−2.46703	−	15.0482i	−0.178508	−	1.08885i	−0.912314	−	0.409491i	$-0.865706\pi$
$191$	−2.46703	−	15.0482i	−0.178508	−	1.08885i	0.733806	−	0.679359i	$-0.237742\pi$
$192$	−0.561187	+	0.827689i	−0.0405002	+	0.0597333i
$193$	6.81331	−	17.1001i	0.490433	−	1.23089i	−0.450645	−	0.892703i	$-0.648806\pi$
$193$	6.81331	−	17.1001i	0.490433	−	1.23089i	0.941078	−	0.338191i	$-0.109815\pi$
$194$	−1.54678	−	1.17583i	−0.111053	−	0.0844200i
$195$	0.767361	+	0.461706i	0.0549519	+	0.0330634i
$196$	−0.229086	+	0.0771881i	−0.0163633	+	0.00551344i
$197$	−7.44973	−	7.05676i	−0.530771	−	0.502773i	0.374720	−	0.927138i	$-0.377739\pi$
$197$	−7.44973	−	7.05676i	−0.530771	−	0.502773i	−0.905491	+	0.424365i	$0.860497\pi$
$198$	−0.899333	+	5.48569i	−0.0639128	+	0.389851i
$199$	3.00248	+	0.326539i	0.212840	+	0.0231477i	0.213918	−	0.976852i	$-0.431378\pi$
$199$	3.00248	+	0.326539i	0.212840	+	0.0231477i	−0.00107776	+	0.999999i	$0.500343\pi$
$200$	−4.16546	+	2.50627i	−0.294542	+	0.177220i
$201$	−5.95684	+	7.01294i	−0.420163	+	0.494654i
$202$	−1.80572	+	0.835416i	−0.127050	+	0.0587797i
$203$	12.3839	+	5.72939i	0.869178	+	0.402124i
$204$	1.04605	+	1.23150i	0.0732381	+	0.0862225i
$205$	−0.978634	−	0.329740i	−0.0683508	−	0.0230301i
$206$	4.87359	+	9.19257i	0.339559	+	0.640477i
$207$	1.97389	+	3.72315i	0.137195	+	0.258777i
$208$	−2.27897	−	0.767873i	−0.158018	−	0.0532424i
$209$	8.56963	+	10.0889i	0.592774	+	0.697867i
$210$	0.909509	+	0.420784i	0.0627621	+	0.0290368i
$211$	−15.6289	+	7.23068i	−1.07594	+	0.497781i	−0.876140	−	0.482057i	$-0.839890\pi$
$211$	−15.6289	+	7.23068i	−1.07594	+	0.497781i	−0.199795	+	0.979838i	$0.564028\pi$
$212$	4.95059	−	5.82829i	0.340008	−	0.400288i
$213$	2.29577	−	1.38132i	0.157304	−	0.0946465i
$214$	19.0577	+	2.07265i	1.30276	+	0.141683i
$215$	−0.559319	+	3.41170i	−0.0381453	+	0.232676i
$216$	0.725995	+	0.687699i	0.0493977	+	0.0467920i
$217$	−0.856486	+	0.288584i	−0.0581421	+	0.0195904i
$218$	6.87131	+	4.13433i	0.465384	+	0.280012i
$219$	5.21840	+	3.96693i	0.352627	+	0.268060i
$220$	−0.766226	+	1.92308i	−0.0516590	+	0.129654i
$221$	−2.18064	+	3.21621i	−0.146686	+	0.216346i
$222$	−0.844724	−	5.15259i	−0.0566942	−	0.345819i
$223$	−0.293231	−	5.40833i	−0.0196362	−	0.362168i	−0.991794	−	0.127843i	$-0.959195\pi$
$223$	−0.293231	−	5.40833i	−0.0196362	−	0.362168i	0.972158	−	0.234325i	$-0.0752881\pi$
$224$	−2.62813	−	0.578496i	−0.175600	−	0.0386524i
$225$	1.79936	+	4.51606i	0.119957	+	0.301070i
$226$	2.88282	−	10.3830i	0.191763	−	0.690667i
$227$	1.22731	−	22.6364i	0.0814594	−	1.50243i	−0.617104	−	0.786882i	$-0.711694\pi$
$227$	1.22731	−	22.6364i	0.0814594	−	1.50243i	0.698563	−	0.715548i	$-0.253823\pi$
$228$	2.36731	−	0.257460i	0.156779	−	0.0170507i
$229$	−19.9030	+	15.1299i	−1.31523	+	0.999812i	−0.316543	+	0.948578i	$0.602522\pi$
$229$	−19.9030	+	15.1299i	−1.31523	+	0.999812i	−0.998687	+	0.0512336i	$0.983685\pi$
$230$	0.419827	+	1.51208i	0.0276826	+	0.0997037i
$231$	−14.6096	+	3.21581i	−0.961240	+	0.211585i
$232$	2.84551	+	4.19681i	0.186817	+	0.275534i
$233$	10.2569	−	9.71582i	0.671950	−	0.636505i	−0.273653	−	0.961829i	$-0.588232\pi$
$233$	10.2569	−	9.71582i	0.671950	−	0.636505i	0.945603	+	0.325324i	$0.105473\pi$
$234$	−1.12645	+	2.12472i	−0.0736386	+	0.138897i
$235$	−2.31961			−0.151314
$236$	0.0362391	+	7.68106i	0.00235896	+	0.499994i
$237$	13.4493			0.873624
$238$	−2.03674	+	3.84169i	−0.132022	+	0.249020i
$239$	−16.0105	+	15.1659i	−1.03563	+	0.981002i	−0.999831	−	0.0183574i	$-0.994156\pi$
$239$	−16.0105	+	15.1659i	−1.03563	+	0.981002i	−0.0357993	+	0.999359i	$0.511398\pi$
$240$	0.208983	+	0.308226i	0.0134898	+	0.0198959i
$241$	29.1612	−	6.41887i	1.87844	−	0.413475i	0.880297	−	0.474423i	$-0.157343\pi$
$241$	29.1612	−	6.41887i	1.87844	−	0.413475i	0.998141	+	0.0609473i	$0.0194122\pi$
$242$	−5.32424	−	19.1762i	−0.342255	−	1.23269i
$243$	0.796093	−	0.605174i	0.0510694	−	0.0388219i
$244$	4.45781	−	0.484816i	0.285382	−	0.0310372i
$245$	−0.00487373	+	0.0898907i	−0.000311371	+	0.00574290i
$246$	0.741887	−	2.67204i	0.0473010	−	0.170363i
$247$	2.11963	+	5.31988i	0.134869	+	0.338496i
$248$	−0.328001	−	0.0721985i	−0.0208281	−	0.00458461i
$249$	0.798442	+	14.7264i	0.0505992	+	0.933247i
$250$	0.594112	+	3.62392i	0.0375749	+	0.229197i
$251$	−6.48745	+	9.56828i	−0.409484	+	0.603944i	−0.975380	−	0.220533i	$-0.929220\pi$
$251$	−6.48745	+	9.56828i	−0.409484	+	0.603944i	0.565895	+	0.824477i	$0.308531\pi$
$252$	−0.996060	+	2.49992i	−0.0627459	+	0.157480i
$253$	−18.6489	−	14.1765i	−1.17244	−	0.891269i
$254$	−5.07407	−	3.05297i	−0.318376	−	0.191560i
$255$	0.570218	−	0.192129i	0.0357084	−	0.0120316i
$256$	−0.725995	−	0.687699i	−0.0453747	−	0.0429812i
$257$	−1.25009	+	7.62519i	−0.0779782	+	0.475646i	0.918751	+	0.394837i	$0.129199\pi$
$257$	−1.25009	+	7.62519i	−0.0779782	+	0.475646i	−0.996730	+	0.0808095i	$0.974249\pi$
$258$	−9.22940	−	1.00376i	−0.574598	−	0.0624913i
$259$	12.0397	−	7.24403i	0.748109	−	0.450122i
$260$	−0.579769	+	0.682557i	−0.0359557	+	0.0423304i
$261$	4.60188	−	2.12906i	0.284849	−	0.131785i
$262$	11.1239	+	5.14648i	0.687239	+	0.317951i
$263$	−1.56807	−	1.84607i	−0.0966912	−	0.113834i	0.711688	−	0.702495i	$-0.247931\pi$
$263$	−1.56807	−	1.84607i	−0.0966912	−	0.113834i	−0.808379	+	0.588662i	$0.799655\pi$
$264$	−5.26793	−	1.77497i	−0.324219	−	0.109242i
$265$	−1.33389	−	2.51599i	−0.0819404	−	0.154556i
$266$	3.00161	+	5.66164i	0.184041	+	0.347137i
$267$	3.88945	+	1.31051i	0.238031	+	0.0802019i
$268$	−5.95684	−	7.01294i	−0.363872	−	0.428383i
$269$	17.2042	+	7.95953i	1.04896	+	0.485301i	0.867157	−	0.498034i	$-0.165945\pi$
$269$	17.2042	+	7.95953i	1.04896	+	0.485301i	0.181803	+	0.983335i	$0.441807\pi$
$270$	0.337976	−	0.156364i	0.0205685	−	0.00951602i
$271$	−0.392174	+	0.461703i	−0.0238229	+	0.0280465i	−0.773944	−	0.633253i	$-0.781719\pi$
$271$	−0.392174	+	0.461703i	−0.0238229	+	0.0280465i	0.750122	+	0.661300i	$0.229995\pi$
$272$	−1.38451	+	0.833034i	−0.0839484	+	0.0505101i
$273$	−6.43364	−	0.699701i	−0.389382	−	0.0423478i
$274$	2.65377	−	16.1873i	0.160320	−	0.977910i
$275$	−19.6191	−	18.5842i	−1.18308	−	1.12067i
$276$	−3.99344	+	1.34555i	−0.240377	+	0.0809925i
$277$	7.86708	+	4.73347i	0.472687	+	0.284406i	0.731898	−	0.681414i	$-0.238635\pi$
$277$	7.86708	+	4.73347i	0.472687	+	0.284406i	−0.259211	+	0.965821i	$0.583462\pi$
$278$	−15.6074	−	11.8644i	−0.936070	−	0.711582i
$279$	−0.124312	+	0.312000i	−0.00744237	+	0.0186789i
$280$	−0.562383	+	0.829452i	−0.0336088	+	0.0495693i
$281$	0.688118	+	4.19733i	0.0410497	+	0.250392i	0.999378	−	0.0352788i	$-0.0112319\pi$
$281$	0.688118	+	4.19733i	0.0410497	+	0.250392i	−0.958328	+	0.285671i	$0.907784\pi$
$282$	−0.337226	−	6.21977i	−0.0200815	−	0.370382i
$283$	1.01938	+	0.224382i	0.0605957	+	0.0133381i	0.245165	−	0.969481i	$-0.421158\pi$
$283$	1.01938	+	0.224382i	0.0605957	+	0.0133381i	−0.184569	+	0.982820i	$0.559089\pi$
$284$	0.991708	+	2.48900i	0.0588471	+	0.147695i
$285$	0.237236	−	0.854447i	0.0140526	−	0.0506131i
$286$	0.723750	−	13.3488i	0.0427962	−	0.789330i
$287$	7.41884	−	0.806848i	0.437921	−	0.0476267i
$288$	−0.796093	+	0.605174i	−0.0469102	+	0.0356602i
$289$	−3.84951	−	13.8647i	−0.226442	−	0.815570i
$290$	1.84409	−	0.405914i	0.108288	−	0.0238361i
$291$	−1.09037	−	1.60817i	−0.0639185	−	0.0942728i
$292$	−4.75891	+	4.50788i	−0.278494	+	0.263804i
$293$	13.3803	−	25.2378i	0.781683	−	1.47441i	−0.0961103	−	0.995371i	$-0.530640\pi$
$293$	13.3803	−	25.2378i	0.781683	−	1.47441i	0.877793	−	0.479040i	$-0.159015\pi$
$294$	−0.241740			−0.0140986
$295$	2.66222	+	1.04620i	0.155001	+	0.0609121i
$296$	5.22137			0.303486
$297$	−2.60385	+	4.91137i	−0.151090	+	0.284987i
$298$	10.6900	−	10.1261i	0.619257	−	0.586592i
$299$	−5.68715	−	8.38791i	−0.328896	−	0.485086i
$300$	−4.74767	+	1.04504i	−0.274107	+	0.0603355i
$301$	−6.68372	−	24.0726i	−0.385243	−	1.38752i
$302$	−13.5728	+	10.3178i	−0.781029	+	0.593723i
$303$	−1.97795	+	0.215115i	−0.113630	+	0.0123580i
$304$	−0.128919	+	2.37777i	−0.00739402	+	0.136375i
$305$	0.446732	−	1.60898i	0.0255798	−	0.0921301i
$306$	0.598071	+	1.50104i	0.0341894	+	0.0858090i
$307$	30.7965	+	6.77882i	1.75765	+	0.386888i	0.972589	−	0.232532i	$-0.0747012\pi$
$307$	30.7965	+	6.77882i	1.75765	+	0.386888i	0.785060	+	0.619420i	$0.212632\pi$
$308$	−0.809881	−	14.9374i	−0.0461473	−	0.851136i
$309$	1.68327	+	10.2675i	0.0957581	+	0.584098i
$310$	−0.0701875	+	0.103519i	−0.00398638	+	0.00587948i
$311$	5.66410	−	14.2158i	0.321182	−	0.806105i	−0.676396	−	0.736538i	$-0.736459\pi$
$311$	5.66410	−	14.2158i	0.321182	−	0.806105i	0.997577	−	0.0695665i	$-0.0221616\pi$
$312$	−1.91449	−	1.45536i	−0.108386	−	0.0823933i
$313$	−7.72067	−	4.64537i	−0.436398	−	0.262572i	0.280359	−	0.959895i	$-0.409547\pi$
$313$	−7.72067	−	4.64537i	−0.436398	−	0.262572i	−0.716757	+	0.697323i	$0.754374\pi$
$314$	−6.95495	+	2.34339i	−0.392490	+	0.132245i
$315$	0.727542	+	0.689164i	0.0409924	+	0.0388300i
$316$	−2.17585	+	13.2721i	−0.122401	+	0.746614i
$317$	−3.41386	−	0.371280i	−0.191742	−	0.0208531i	0.0117443	−	0.999931i	$-0.496262\pi$
$317$	−3.41386	−	0.371280i	−0.191742	−	0.0208531i	−0.203486	+	0.979078i	$0.565227\pi$
$318$	6.55243	−	3.94246i	0.367442	−	0.221082i
$319$	−18.2476	+	21.4828i	−1.02167	+	1.20280i
$320$	−0.337976	+	0.156364i	−0.0188934	+	0.00874102i
$321$	17.3983	+	8.04931i	0.971078	+	0.449269i
$322$	−7.34147	−	8.64305i	−0.409124	−	0.481658i
$323$	3.64625	+	1.22856i	0.202883	+	0.0683591i
$324$	0.468408	+	0.883512i	0.0260227	+	0.0490840i
$325$	−5.47605	−	10.3289i	−0.303757	−	0.572946i
$326$	12.3396	+	4.15770i	0.683427	+	0.230273i
$327$	5.19152	+	6.11193i	0.287092	+	0.337991i
$328$	2.51681	+	1.16440i	0.138968	+	0.0642933i
$329$	15.2130	−	7.03830i	0.838721	−	0.388034i
$330$	−1.34016	+	1.57776i	−0.0737734	+	0.0868527i
$331$	27.1906	−	16.3600i	1.49453	−	0.899228i	0.494989	−	0.868899i	$-0.335172\pi$
$331$	27.1906	−	16.3600i	1.49453	−	0.899228i	0.999540	−	0.0303295i	$-0.00965565\pi$
$332$	−14.6616	−	1.59454i	−0.804658	−	0.0875118i
$333$	0.844724	−	5.15259i	0.0462906	−	0.282360i
$334$	−2.89906	−	2.74614i	−0.158630	−	0.150262i
$335$	−3.24717	+	1.09410i	−0.177412	+	0.0597770i
$336$	−2.30584	−	1.38738i	−0.125794	−	0.0756878i
$337$	2.22126	+	1.68856i	0.121000	+	0.0919816i	0.663924	−	0.747800i	$-0.268890\pi$
$337$	2.22126	+	1.68856i	0.121000	+	0.0919816i	−0.542924	+	0.839782i	$0.682683\pi$
$338$	−2.67117	+	6.70413i	−0.145292	+	0.364656i
$339$	6.04722	−	8.91899i	0.328440	−	0.484413i
$340$	0.0973468	+	0.593789i	0.00527937	+	0.0322027i
$341$	−0.101076	−	1.86424i	−0.00547359	−	0.100954i
$342$	2.32559	+	0.511902i	0.125754	+	0.0276805i
$343$	6.73163	+	16.8951i	0.363474	+	0.912251i
$344$	2.48369	−	8.94543i	0.133911	−	0.482305i
$345$	−0.0849592	+	1.56698i	−0.00457405	+	0.0843634i
$346$	3.67680	−	0.399876i	0.197666	−	0.0214975i
$347$	16.0070	−	12.1682i	0.859302	−	0.653224i	−0.0798200	−	0.996809i	$-0.525435\pi$
$347$	16.0070	−	12.1682i	0.859302	−	0.653224i	0.939121	+	0.343585i	$0.111641\pi$
$348$	1.35651	+	4.88570i	0.0727164	+	0.261901i
$349$	10.2719	−	2.26102i	0.549844	−	0.121030i	0.0686450	−	0.997641i	$-0.478132\pi$
$349$	10.2719	−	2.26102i	0.549844	−	0.121030i	0.481199	+	0.876611i	$0.340201\pi$
$350$	−7.34148	−	10.8279i	−0.392419	−	0.578774i
$351$	−1.74591	+	1.65382i	−0.0931899	+	0.0882742i
$352$	2.60385	−	4.91137i	0.138785	−	0.261777i
$353$	15.0585			0.801485			0.400743	−	0.916191i	$-0.368752\pi$
$353$	15.0585			0.801485			0.400743	+	0.916191i	$0.368752\pi$
$354$	−2.41823	+	7.29055i	−0.128528	+	0.387488i
$355$	0.997752			0.0529552
$356$	−1.92249	+	3.62620i	−0.101892	+	0.192188i
$357$	−3.15678	+	2.99026i	−0.167074	+	0.158261i
$358$	−4.99991	−	7.37432i	−0.264254	−	0.389745i
$359$	−20.7401	+	4.56523i	−1.09462	+	0.240944i	−0.725351	−	0.688379i	$-0.758322\pi$
$359$	−20.7401	+	4.56523i	−1.09462	+	0.240944i	−0.369268	+	0.929323i	$0.620391\pi$
$360$	0.0996260	+	0.358820i	0.00525075	+	0.0189115i
$361$	−10.6116	+	8.06671i	−0.558504	+	0.424564i
$362$	−12.1469	+	1.32106i	−0.638428	+	0.0694332i
$363$	1.07745	−	19.8724i	0.0565515	−	1.04303i
$364$	1.73133	−	6.23569i	0.0907464	−	0.326839i
$365$	0.903525	+	2.26768i	0.0472927	+	0.118696i
$366$	4.37926	+	0.963948i	0.228907	+	0.0503863i
$367$	−0.803555	−	14.8207i	−0.0419452	−	0.773634i	−0.941539	−	0.336905i	$-0.890620\pi$
$367$	−0.803555	−	14.8207i	−0.0419452	−	0.773634i	0.899593	−	0.436729i	$-0.143863\pi$
$368$	−0.681755	−	4.15852i	−0.0355389	−	0.216778i
$369$	1.55624	−	2.29528i	0.0810145	−	0.119487i
$370$	0.719699	−	1.80631i	0.0374154	−	0.0939056i
$371$	16.3825	+	12.4536i	0.850535	+	0.646560i
$372$	−0.287778	−	0.173150i	−0.0149206	−	0.00897743i
$373$	−31.4022	+	10.5806i	−1.62594	+	0.547844i	−0.977045	−	0.213032i	$-0.931666\pi$
$373$	−31.4022	+	10.5806i	−1.62594	+	0.547844i	−0.648897	+	0.760876i	$0.724770\pi$
$374$	−6.52098	−	6.17700i	−0.337192	−	0.319405i
$375$	−0.594112	+	3.62392i	−0.0306798	+	0.187138i
$376$	6.19239	+	0.673463i	0.319348	+	0.0347312i
$377$	−10.4484	+	6.28659i	−0.538120	+	0.323776i
$378$	−1.74215	+	2.05101i	−0.0896064	+	0.105493i
$379$	−2.13362	+	0.987117i	−0.109597	+	0.0507048i	−0.473921	−	0.880567i	$-0.657162\pi$
$379$	−2.13362	+	0.987117i	−0.109597	+	0.0507048i	0.364325	+	0.931272i	$0.381300\pi$
$380$	0.804810	+	0.372345i	0.0412859	+	0.0191009i
$381$	−3.83365	−	4.51332i	−0.196404	−	0.231224i
$382$	14.4509	+	4.86906i	0.739370	+	0.249123i
$383$	−14.4128	−	27.1855i	−0.736461	−	1.38911i	−0.914294	−	0.405052i	$-0.867253\pi$
$383$	−14.4128	−	27.1855i	−0.736461	−	1.38911i	0.177833	−	0.984061i	$-0.443091\pi$
$384$	−0.468408	−	0.883512i	−0.0239034	−	0.0450865i
$385$	−5.27915	−	1.77875i	−0.269050	−	0.0906536i
$386$	11.9168	+	14.0295i	0.606547	+	0.714082i
$387$	−8.42577	−	3.89818i	−0.428306	−	0.198155i
$388$	1.76339	−	0.815831i	0.0895225	−	0.0414175i
$389$	3.22409	−	3.79569i	0.163468	−	0.192449i	−0.674330	−	0.738431i	$-0.735567\pi$
$389$	3.22409	−	3.79569i	0.163468	−	0.192449i	0.837797	+	0.545981i	$0.183843\pi$
$390$	−0.767361	+	0.461706i	−0.0388568	+	0.0233794i
$391$	−6.76914	−	0.736188i	−0.342330	−	0.0372306i
$392$	0.0391092	−	0.238556i	0.00197532	−	0.0120489i
$393$	8.89835	+	8.42897i	0.448863	+	0.425185i
$394$	9.72425	−	3.27648i	0.489901	−	0.165067i
$395$	4.29151	+	2.58212i	0.215929	+	0.129920i
$396$	−4.42542	−	3.36412i	−0.222386	−	0.169053i
$397$	−10.7143	+	26.8908i	−0.537733	+	1.34961i	0.369598	+	0.929192i	$0.379495\pi$
$397$	−10.7143	+	26.8908i	−0.537733	+	1.34961i	−0.907331	+	0.420417i	$0.861884\pi$
$398$	−1.69489	+	2.49977i	−0.0849570	+	0.125302i
$399$	1.03672	+	6.32369i	0.0519007	+	0.316580i
$400$	−0.263187	−	4.85419i	−0.0131593	−	0.242710i
$401$	3.85903	+	0.849437i	0.192711	+	0.0424188i	0.310277	−	0.950646i	$-0.399578\pi$
$401$	3.85903	+	0.849437i	0.192711	+	0.0424188i	−0.117566	+	0.993065i	$0.537509\pi$
$402$	−3.40578	−	8.54786i	−0.169865	−	0.426328i
$403$	0.216077	−	0.778238i	0.0107635	−	0.0387668i
$404$	0.107715	−	1.98669i	0.00535904	−	0.0988417i
$405$	0.370211	−	0.0402629i	0.0183959	−	0.00200068i
$406$	−10.8627	+	8.25761i	−0.539107	+	0.409818i
$407$	7.76506	+	27.9672i	0.384900	+	1.38628i
$408$	−1.57803	+	0.347350i	−0.0781240	+	0.0171964i
$409$	−22.0420	−	32.5094i	−1.08990	−	1.60749i	−0.742599	−	0.669737i	$-0.766407\pi$
$409$	−22.0420	−	32.5094i	−1.08990	−	1.60749i	−0.347306	−	0.937752i	$-0.612903\pi$
$410$	0.749730	−	0.710182i	0.0370265	−	0.0350734i
$411$	7.68348	−	14.4926i	0.378998	−	0.714867i
$412$	−10.4046			−0.512597
$413$	−20.6345	+	1.21643i	−1.01536	+	0.0598569i
$414$	−4.21404			−0.207109
$415$	−2.57253	+	4.85231i	−0.126281	+	0.238191i
$416$	1.74591	−	1.65382i	0.0856004	−	0.0810850i
$417$	−11.0021	−	16.2269i	−0.538774	−	0.794632i
$418$	−12.9278	+	2.84562i	−0.632319	+	0.139184i
$419$	0.256415	+	0.923522i	0.0125267	+	0.0451170i	0.969549	−	0.244897i	$-0.0787540\pi$
$419$	0.256415	+	0.923522i	0.0125267	+	0.0451170i	−0.957023	+	0.290014i	$0.906340\pi$
$420$	−0.797789	+	0.606463i	−0.0389281	+	0.0295924i
$421$	−5.35012	+	0.581861i	−0.260749	+	0.0283582i	−0.237560	−	0.971373i	$-0.576348\pi$
$421$	−5.35012	+	0.581861i	−0.260749	+	0.0283582i	−0.0231893	+	0.999731i	$0.507382\pi$
$422$	0.932297	−	17.1952i	0.0453835	−	0.837049i
$423$	1.66641	−	6.00186i	0.0810235	−	0.291820i
$424$	2.83046	+	7.10393i	0.137459	+	0.344997i
$425$	−7.67130	−	1.68858i	−0.372113	−	0.0819082i
$426$	0.145054	+	2.67536i	0.00702789	+	0.129622i
$427$	1.95221	+	11.9079i	0.0944740	+	0.576266i
$428$	−10.7580	+	15.8669i	−0.520008	+	0.766954i
$429$	4.94815	−	12.4189i	0.238899	−	0.599591i
$430$	−2.75229	−	2.09223i	−0.132727	−	0.100896i
$431$	18.0618	+	10.8674i	0.870005	+	0.523465i	0.879178	−	0.476493i	$-0.158092\pi$
$431$	18.0618	+	10.8674i	0.870005	+	0.523465i	−0.00917295	+	0.999958i	$0.502920\pi$
$432$	−0.947653	+	0.319302i	−0.0455940	+	0.0153624i
$433$	−12.9400	−	12.2574i	−0.621855	−	0.589053i	0.310510	−	0.950570i	$-0.399500\pi$
$433$	−12.9400	−	12.2574i	−0.621855	−	0.589053i	−0.932365	+	0.361518i	$0.882259\pi$
$434$	0.146218	−	0.891891i	0.00701870	−	0.0428122i
$435$	1.87716	+	0.204154i	0.0900030	+	0.00978842i
$436$	−6.87131	+	4.13433i	−0.329076	+	0.197999i
$437$	−6.49636	+	7.64810i	−0.310763	+	0.365858i
$438$	−5.94917	+	2.75238i	−0.284262	+	0.131514i
$439$	32.7049	+	15.1309i	1.56092	+	0.722158i	0.994770	−	0.102145i	$-0.0325704\pi$
$439$	32.7049	+	15.1309i	1.56092	+	0.722158i	0.566150	+	0.824303i	$0.308432\pi$
$440$	−1.34016	−	1.57776i	−0.0638896	−	0.0752167i
$441$	−0.229086	−	0.0771881i	−0.0109089	−	0.00367562i
$442$	−1.82013	−	3.43313i	−0.0865747	−	0.163297i
$443$	13.2426	+	24.9782i	0.629175	+	1.18675i	0.969186	+	0.246328i	$0.0792242\pi$
$443$	13.2426	+	24.9782i	0.629175	+	1.18675i	−0.340012	+	0.940421i	$0.610431\pi$
$444$	4.94805	+	1.66719i	0.234824	+	0.0791214i
$445$	0.989476	+	1.16490i	0.0469057	+	0.0552216i
$446$	4.91567	+	2.27423i	0.232764	+	0.107688i
$447$	13.3637	−	6.18273i	0.632083	−	0.292433i
$448$	1.74215	−	2.05101i	0.0823087	−	0.0969013i
$449$	−5.08886	+	3.06187i	−0.240158	+	0.144498i	−0.630545	−	0.776152i	$-0.717169\pi$
$449$	−5.08886	+	3.06187i	−0.240158	+	0.144498i	0.390387	+	0.920651i	$0.372341\pi$
$450$	−4.83283	−	0.525601i	−0.227822	−	0.0247771i
$451$	−2.49396	+	15.2125i	−0.117436	+	0.716327i
$452$	7.82316	+	7.41049i	0.367971	+	0.348560i
$453$	−16.1568	+	5.44387i	−0.759114	+	0.255775i
$454$	19.4246	+	11.6874i	0.911644	+	0.548518i
$455$	−1.91857	−	1.45846i	−0.0899437	−	0.0683735i
$456$	−0.881398	+	2.21214i	−0.0412752	+	0.103593i
$457$	4.82851	−	7.12152i	0.225868	−	0.333131i	−0.697822	−	0.716271i	$-0.745847\pi$
$457$	4.82851	−	7.12152i	0.225868	−	0.333131i	0.923690	+	0.383141i	$0.125158\pi$
$458$	−4.04469	−	24.6715i	−0.188996	−	1.15283i
$459$	0.0874778	+	1.61343i	0.00408312	+	0.0753086i
$460$	−1.53259	−	0.337349i	−0.0714575	−	0.0157290i
$461$	9.38939	+	23.5656i	0.437308	+	1.09756i	0.968213	+	0.250128i	$0.0804727\pi$
$461$	9.38939	+	23.5656i	0.437308	+	1.09756i	−0.530905	+	0.847431i	$0.678148\pi$
$462$	4.00204	−	14.4141i	0.186192	−	0.670602i
$463$	1.21330	−	22.3780i	0.0563869	−	1.03999i	−0.824257	−	0.566216i	$-0.808407\pi$
$463$	1.21330	−	22.3780i	0.0563869	−	1.03999i	0.880644	−	0.473779i	$-0.157110\pi$
$464$	−5.04079	+	0.548219i	−0.234013	+	0.0254505i
$465$	−0.0995672	+	0.0756890i	−0.00461732	+	0.00350999i
$466$	3.77964	+	13.6130i	0.175089	+	0.630612i
$467$	13.0643	−	2.87568i	0.604545	−	0.133070i	0.0978577	−	0.995200i	$-0.468801\pi$
$467$	13.0643	−	2.87568i	0.604545	−	0.133070i	0.506687	+	0.862130i	$0.330870\pi$
$468$	−1.34957	−	1.99047i	−0.0623840	−	0.0920095i
$469$	17.9766	−	17.0284i	0.830083	−	0.786296i
$470$	1.08652	−	2.04940i	0.0501176	−	0.0945318i
$471$	−7.33913			−0.338169
$472$	−6.80328	−	3.56586i	−0.313147	−	0.164132i
$473$	51.6080			2.37294
$474$	−6.29975	+	11.8826i	−0.289357	+	0.545786i
$475$	−8.40420	+	7.96088i	−0.385611	+	0.365270i
$476$	−2.44016	−	3.59896i	−0.111844	−	0.164958i
$477$	7.46826	−	1.64389i	0.341948	−	0.0752685i
$478$	−5.89983	−	21.2493i	−0.269852	−	0.971919i
$479$	−25.6852	+	19.5254i	−1.17359	+	0.892136i	−0.995766	−	0.0919268i	$-0.970697\pi$
$479$	−25.6852	+	19.5254i	−1.17359	+	0.892136i	−0.177819	+	0.984063i	$0.556904\pi$
$480$	−0.370211	+	0.0402629i	−0.0168977	+	0.00183774i
$481$	−0.679802	+	12.5382i	−0.0309963	+	0.571694i
$482$	−7.98821	+	28.7709i	−0.363853	+	1.31048i
$483$	−4.19743	−	10.5348i	−0.190990	−	0.479348i
$484$	19.4363	+	4.27825i	0.883468	+	0.194466i
$485$	−0.0391722	−	0.722488i	−0.00177872	−	0.0328065i
$486$	0.161782	+	0.986827i	0.00733858	+	0.0447634i
$487$	−21.6850	+	31.9830i	−0.982643	+	1.44929i	−0.0913730	+	0.995817i	$0.529126\pi$
$487$	−21.6850	+	31.9830i	−0.982643	+	1.44929i	−0.891270	+	0.453473i	$0.850185\pi$
$488$	−1.65973	+	4.16562i	−0.0751326	+	0.188569i
$489$	10.3661	+	7.88011i	0.468771	+	0.356351i
$490$	−0.0771366	−	0.0464115i	−0.00348468	−	0.00209666i
$491$	−10.3301	+	3.48062i	−0.466191	+	0.157078i	−0.542587	−	0.839999i	$-0.682555\pi$
$491$	−10.3301	+	3.48062i	−0.466191	+	0.157078i	0.0763960	+	0.997078i	$0.475659\pi$
$492$	2.01327	+	1.90707i	0.0907652	+	0.0859774i
$493$	−1.32547	+	8.08503i	−0.0596963	+	0.364132i
$494$	−5.69303	−	0.619154i	−0.256141	−	0.0278571i
$495$	−1.77379	+	1.06725i	−0.0797258	+	0.0479694i
$496$	0.217427	−	0.255975i	0.00976275	−	0.0114936i
$497$	−6.54371	+	3.02744i	−0.293526	+	0.135799i
$498$	−13.3849	−	6.19253i	−0.599793	−	0.277494i
$499$	2.62741	+	3.09323i	0.117619	+	0.138472i	0.817820	−	0.575474i	$-0.195182\pi$
$499$	2.62741	+	3.09323i	0.117619	+	0.138472i	−0.700201	+	0.713946i	$0.746906\pi$
$500$	−3.48006	−	1.17257i	−0.155633	−	0.0524389i
$501$	−1.87046	−	3.52806i	−0.0835660	−	0.157622i
$502$	−5.41491	−	10.2136i	−0.241679	−	0.455856i
$503$	−3.99963	−	1.34763i	−0.178335	−	0.0600880i	0.228718	−	0.973493i	$-0.426547\pi$
$503$	−3.99963	−	1.34763i	−0.178335	−	0.0600880i	−0.407052	+	0.913405i	$0.633443\pi$
$504$	−1.74215	−	2.05101i	−0.0776014	−	0.0913595i
$505$	−0.672440	−	0.311104i	−0.0299232	−	0.0138439i
$506$	21.2604	−	9.83611i	0.945140	−	0.437268i
$507$	−4.67198	+	5.50028i	−0.207490	+	0.244276i
$508$	5.07407	−	3.05297i	0.225126	−	0.135454i
$509$	7.76580	+	0.844581i	0.344213	+	0.0374354i	0.278593	−	0.960409i	$-0.410132\pi$
$509$	7.76580	+	0.844581i	0.344213	+	0.0374354i	0.0656200	+	0.997845i	$0.479097\pi$
$510$	−0.0973468	+	0.593789i	−0.00431059	+	0.0262934i
$511$	−12.8065	−	12.1309i	−0.566525	−	0.536641i
$512$	0.947653	−	0.319302i	0.0418807	−	0.0141113i
$513$	2.04041	+	1.22767i	0.0900861	+	0.0542030i
$514$	−6.15139	−	4.67617i	−0.271326	−	0.206257i
$515$	−1.43414	+	3.59942i	−0.0631957	+	0.158609i
$516$	5.20996	−	7.68412i	0.229356	−	0.338275i
$517$	5.60186	+	34.1698i	0.246369	+	1.50279i
$518$	0.760704	+	14.0304i	0.0334234	+	0.616458i
$519$	3.61202	+	0.795065i	0.158550	+	0.0348995i
$520$	−0.331478	−	0.831948i	−0.0145363	−	0.0364833i
$521$	−1.13541	+	4.08939i	−0.0497434	+	0.179159i	−0.984249	−	0.176790i	$-0.943429\pi$
$521$	−1.13541	+	4.08939i	−0.0497434	+	0.179159i	0.934505	+	0.355949i	$0.115842\pi$
$522$	−0.274512	+	5.06308i	−0.0120151	+	0.221605i
$523$	16.9633	−	1.84487i	0.741752	−	0.0806704i	0.270563	−	0.962702i	$-0.412790\pi$
$523$	16.9633	−	1.84487i	0.741752	−	0.0806704i	0.471189	+	0.882032i	$0.343825\pi$
$524$	−9.75752	+	7.41748i	−0.426259	+	0.324034i
$525$	−3.49982	−	12.6052i	−0.152745	−	0.550137i
$526$	2.36552	−	0.520691i	0.103142	−	0.0227032i
$527$	−0.304541	−	0.449164i	−0.0132660	−	0.0195659i
$528$	4.03575	−	3.82287i	0.175634	−	0.166369i
$529$	−2.45535	+	4.63129i	−0.106754	+	0.201360i
$530$	2.84771			0.123697
$531$	−4.61953	+	6.13677i	−0.200471	+	0.266313i
$532$	−6.40810			−0.277827
$533$	−3.12379	+	5.89209i	−0.135306	+	0.255215i
$534$	−2.97970	+	2.82253i	−0.128944	+	0.122143i
$535$	4.00622	+	5.90873i	0.173204	+	0.255457i
$536$	8.98625	−	1.97802i	0.388147	−	0.0854376i
$537$	−2.38355	−	8.58478i	−0.102858	−	0.370460i
$538$	−15.0909	+	11.4718i	−0.650617	+	0.494586i
$539$	1.33594	−	0.145292i	0.0575429	−	0.00625817i
$540$	−0.0201610	+	0.371848i	−0.000867592	+	0.0160018i
$541$	−0.756622	+	2.72510i	−0.0325297	+	0.117161i	−0.978032	−	0.208453i	$-0.933157\pi$
$541$	−0.756622	+	2.72510i	−0.0325297	+	0.117161i	0.945503	+	0.325614i	$0.105571\pi$
$542$	−0.224222	−	0.562756i	−0.00963118	−	0.0241724i
$543$	−11.9329	−	2.62662i	−0.512089	−	0.112719i
$544$	−0.0874778	−	1.61343i	−0.00375058	−	0.0691754i
$545$	0.483130	+	2.94696i	0.0206950	+	0.126234i
$546$	3.63177	−	5.35645i	0.155425	−	0.229235i
$547$	6.27751	−	15.7554i	0.268407	−	0.673650i	−0.731560	−	0.681777i	$-0.761207\pi$
$547$	6.27751	−	15.7554i	0.268407	−	0.673650i	0.999967	+	0.00812658i	$0.00258680\pi$
$548$	13.0586	+	9.92690i	0.557837	+	0.424056i
$549$	3.84223	+	2.31179i	0.163982	+	0.0986649i
$550$	25.6091	−	8.62871i	1.09198	−	0.367929i
$551$	8.76586	+	8.30346i	0.373438	+	0.353739i
$552$	0.681755	−	4.15852i	0.0290174	−	0.176998i
$553$	−35.9805	−	3.91311i	−1.53005	−	0.166403i
$554$	−7.86708	+	4.73347i	−0.334240	+	0.201106i
$555$	1.25878	−	1.48195i	0.0534324	−	0.0629054i
$556$	17.7930	−	8.23193i	0.754592	−	0.349112i
$557$	38.4428	+	17.7855i	1.62887	+	0.753597i	0.999719	−	0.0236847i	$-0.00753977\pi$
$557$	38.4428	+	17.7855i	1.62887	+	0.753597i	0.629153	+	0.777281i	$0.283402\pi$
$558$	−0.217427	−	0.255975i	−0.00920441	−	0.0108363i
$559$	21.1575	+	7.12880i	0.894868	+	0.301516i
$560$	−0.469406	−	0.885394i	−0.0198360	−	0.0374147i
$561$	−4.20730	−	7.93581i	−0.177632	−	0.335050i
$562$	−4.03071	−	1.35811i	−0.170025	−	0.0572882i
$563$	28.7180	+	33.8094i	1.21032	+	1.42490i	0.875913	+	0.482469i	$0.160260\pi$
$563$	28.7180	+	33.8094i	1.21032	+	1.42490i	0.334406	+	0.942429i	$0.391464\pi$
$564$	5.65320	+	2.61545i	0.238043	+	0.110130i
$565$	3.64195	−	1.68494i	0.153218	−	0.0708862i
$566$	−0.675729	+	0.795530i	−0.0284030	+	0.0334386i
$567$	−2.30584	+	1.38738i	−0.0968363	+	0.0582645i
$568$	−2.66359	−	0.289682i	−0.111762	−	0.0121548i
$569$	2.16846	−	13.2270i	0.0909067	−	0.554506i	−0.901625	−	0.432519i	$-0.857625\pi$
$569$	2.16846	−	13.2270i	0.0909067	−	0.554506i	0.992532	−	0.121987i	$-0.0389268\pi$
$570$	0.643791	+	0.609831i	0.0269654	+	0.0255430i
$571$	−35.7255	+	12.0373i	−1.49507	+	0.503747i	−0.943781	−	0.330570i	$-0.892759\pi$
$571$	−35.7255	+	12.0373i	−1.49507	+	0.503747i	−0.551285	+	0.834317i	$0.685862\pi$
$572$	11.4548	+	6.89212i	0.478949	+	0.288174i
$573$	12.1397	+	9.22836i	0.507143	+	0.385520i
$574$	−2.76219	+	6.93257i	−0.115292	+	0.289360i
$575$	11.4964	−	16.9559i	0.479431	−	0.707108i
$576$	−0.161782	−	0.986827i	−0.00674092	−	0.0411178i
$577$	0.776626	+	14.3240i	0.0323313	+	0.596317i	0.969146	+	0.246489i	$0.0792770\pi$
$577$	0.776626	+	14.3240i	0.0323313	+	0.596317i	−0.936814	+	0.349827i	$0.886240\pi$
$578$	14.0528	+	3.09325i	0.584518	+	0.128662i
$579$	6.81331	+	17.1001i	0.283152	+	0.710657i
$580$	−0.505155	+	1.81940i	−0.0209754	+	0.0755467i
$581$	2.14864	−	39.6294i	0.0891408	−	1.64411i
$582$	1.93158	−	0.210072i	0.0800665	−	0.00870775i
$583$	−33.8414	+	25.7255i	−1.40157	+	1.06544i
$584$	−1.75365	−	6.31609i	−0.0725667	−	0.261362i
$585$	−0.874616	+	0.192517i	−0.0361609	+	0.00795962i
$586$	16.0305	+	23.6432i	0.662214	+	0.976693i
$587$	23.5960	−	22.3513i	0.973910	−	0.922537i	−0.0231057	−	0.999733i	$-0.507355\pi$
$587$	23.5960	−	22.3513i	0.973910	−	0.922537i	0.997016	+	0.0771963i	$0.0245968\pi$
$588$	0.113233	−	0.213581i	0.00466966	−	0.00880791i
$589$	−0.799756			−0.0329534
$590$	−2.17134	+	1.86206i	−0.0893925	+	0.0766597i
$591$	10.2614			0.422098
$592$	−2.44573	+	4.61314i	−0.100519	+	0.189599i
$593$	9.49623	−	8.99531i	0.389963	−	0.369393i	−0.467451	−	0.884019i	$-0.654828\pi$
$593$	9.49623	−	8.99531i	0.389963	−	0.369393i	0.857415	+	0.514626i	$0.172069\pi$
$594$	−3.11959	−	4.60106i	−0.127998	−	0.188784i
$595$	−1.58139	+	0.348090i	−0.0648306	+	0.0142703i
$596$	3.93926	+	14.1880i	0.161359	+	0.581161i
$597$	−2.40435	+	1.82774i	−0.0984033	+	0.0748043i
$598$	10.0747	−	1.09569i	0.411986	−	0.0448062i
$599$	−0.188341	+	3.47374i	−0.00769540	+	0.141933i	0.992161	+	0.124969i	$0.0398830\pi$
$599$	−0.188341	+	3.47374i	−0.00769540	+	0.141933i	−0.999856	+	0.0169646i	$0.994600\pi$
$600$	1.30054	−	4.68413i	0.0530944	−	0.191229i
$601$	−9.81236	−	24.6272i	−0.400255	−	1.00456i	−0.981607	−	0.190912i	$-0.938856\pi$
$601$	−9.81236	−	24.6272i	−0.400255	−	1.00456i	0.581353	−	0.813652i	$-0.302524\pi$
$602$	24.3991	+	5.37065i	0.994434	+	0.218892i
$603$	−0.498152	−	9.18788i	−0.0202863	−	0.374159i
$604$	−2.75827	−	16.8247i	−0.112232	−	0.684588i
$605$	4.15909	−	6.13420i	0.169091	−	0.249391i
$606$	0.736431	−	1.84830i	0.0299155	−	0.0750822i
$607$	−32.6097	−	24.7892i	−1.32359	−	1.00616i	−0.998162	−	0.0605951i	$-0.980700\pi$
$607$	−32.6097	−	24.7892i	−1.32359	−	1.00616i	−0.325423	−	0.945568i	$-0.605507\pi$
$608$	−2.04041	−	1.22767i	−0.0827494	−	0.0497887i
$609$	−12.9307	+	4.35687i	−0.523980	+	0.176549i
$610$	1.21230	+	1.14835i	0.0490847	+	0.0464955i
$611$	−2.42343	+	14.7823i	−0.0980414	+	0.598026i
$612$	−1.60633	−	0.174699i	−0.0649321	−	0.00706179i
$613$	−14.5526	+	8.75598i	−0.587772	+	0.353651i	−0.778168	−	0.628057i	$-0.783851\pi$
$613$	−14.5526	+	8.75598i	−0.587772	+	0.353651i	0.190395	+	0.981707i	$0.439023\pi$
$614$	−20.4145	+	24.0338i	−0.823862	+	0.969926i
$615$	0.937246	−	0.433616i	0.0377934	−	0.0174851i
$616$	13.5767	+	6.28126i	0.547021	+	0.253079i
$617$	−11.8035	−	13.8961i	−0.475190	−	0.559437i	0.471382	−	0.881929i	$-0.343755\pi$
$617$	−11.8035	−	13.8961i	−0.475190	−	0.559437i	−0.946572	+	0.322492i	$0.895479\pi$
$618$	−9.85993	−	3.32220i	−0.396625	−	0.133638i
$619$	−8.57797	−	16.1798i	−0.344778	−	0.650320i	0.649112	−	0.760693i	$-0.275140\pi$
$619$	−8.57797	−	16.1798i	−0.344778	−	0.650320i	−0.993890	+	0.110372i	$0.964796\pi$
$620$	−0.0585837	−	0.110501i	−0.00235278	−	0.00443781i
$621$	−3.99344	−	1.34555i	−0.160251	−	0.0539950i
$622$	9.90673	+	11.6631i	0.397224	+	0.467648i
$623$	−10.0241	−	4.63762i	−0.401605	−	0.185802i
$624$	2.18259	−	1.00977i	0.0873734	−	0.0404232i
$625$	14.8504	−	17.4833i	0.594018	−	0.699332i
$626$	7.72067	−	4.64537i	0.308580	−	0.185666i
$627$	−13.1597	−	1.43120i	−0.525547	−	0.0571567i
$628$	1.18734	−	7.24244i	0.0473800	−	0.289005i
$629$	6.12501	+	5.80192i	0.244220	+	0.231338i
$630$	−0.949672	+	0.319982i	−0.0378358	+	0.0127484i
$631$	−6.55063	−	3.94138i	−0.260776	−	0.156904i	0.379162	−	0.925330i	$-0.376212\pi$
$631$	−6.55063	−	3.94138i	−0.260776	−	0.156904i	−0.639938	+	0.768426i	$0.721040\pi$
$632$	−10.7069	−	8.13915i	−0.425897	−	0.323758i
$633$	6.37395	−	15.9974i	0.253342	−	0.635840i
$634$	1.92711	−	2.84228i	0.0765354	−	0.112881i
$635$	−0.356764	−	2.17617i	−0.0141578	−	0.0863585i
$636$	0.414003	+	7.63583i	0.0164163	+	0.302780i
$637$	0.567759	+	0.124973i	0.0224954	+	0.00495162i
$638$	−10.4329	−	26.1847i	−0.413044	−	1.03666i
$639$	−0.716787	+	2.58163i	−0.0283556	+	0.102128i
$640$	0.0201610	−	0.371848i	0.000796934	−	0.0146986i
$641$	−2.77477	+	0.301775i	−0.109597	+	0.0119194i	−0.162753	−	0.986667i	$-0.552037\pi$
$641$	−2.77477	+	0.301775i	−0.109597	+	0.0119194i	0.0531562	+	0.998586i	$0.483072\pi$
$642$	−15.2612	+	11.6012i	−0.602310	+	0.457864i
$643$	7.06933	+	25.4614i	0.278787	+	1.00410i	0.961813	+	0.273707i	$0.0882497\pi$
$643$	7.06933	+	25.4614i	0.278787	+	1.00410i	−0.683026	+	0.730394i	$0.739336\pi$
$644$	11.0750	−	2.43780i	0.436418	−	0.0960629i
$645$	−1.94016	−	2.86152i	−0.0763937	−	0.112672i
$646$	−2.79338	+	2.64603i	−0.109904	+	0.104107i
$647$	−22.2777	+	42.0202i	−0.875826	+	1.65198i	−0.124336	+	0.992240i	$0.539680\pi$
$647$	−22.2777	+	42.0202i	−0.875826	+	1.65198i	−0.751491	+	0.659744i	$0.770665\pi$
$648$	−1.00000			−0.0392837
$649$	8.98215	−	41.7434i	0.352580	−	1.63857i
$650$	11.6908			0.458550
$651$	0.423346	−	0.798516i	0.0165923	−	0.0312963i
$652$	−9.45335	+	8.95469i	−0.370222	+	0.350693i
$653$	−22.5579	−	33.2705i	−0.882761	−	1.30197i	−0.952540	−	0.304412i	$-0.901540\pi$
$653$	−22.5579	−	33.2705i	−0.882761	−	1.30197i	0.0697800	−	0.997562i	$-0.477770\pi$
$654$	−7.83172	+	1.72389i	−0.306244	+	0.0674095i
$655$	1.22109	+	4.39797i	0.0477120	+	0.171843i
$656$	−2.20766	+	1.67822i	−0.0861946	+	0.0655234i
$657$	−6.51659	+	0.708722i	−0.254236	+	0.0276499i
$658$	−0.907491	+	16.7377i	−0.0353777	+	0.652503i
$659$	1.75897	−	6.33524i	0.0685198	−	0.246786i	−0.921357	−	0.388719i	$-0.872918\pi$
$659$	1.75897	−	6.33524i	0.0685198	−	0.246786i	0.989876	+	0.141933i	$0.0453316\pi$
$660$	−0.766226	−	1.92308i	−0.0298253	−	0.0748559i
$661$	−19.3655	−	4.26267i	−0.753231	−	0.165799i	−0.178272	−	0.983981i	$-0.557051\pi$
$661$	−19.3655	−	4.26267i	−0.753231	−	0.165799i	−0.574959	+	0.818183i	$0.694982\pi$
$662$	1.71799	+	31.6864i	0.0667714	+	1.23153i
$663$	−0.628648	−	3.83458i	−0.0244147	−	0.148923i
$664$	8.27640	−	12.2068i	0.321186	−	0.473715i
$665$	−0.883276	+	2.21685i	−0.0342520	+	0.0859659i
$666$	4.15670	+	3.15984i	0.161069	+	0.122441i
$667$	−18.3088	−	11.0160i	−0.708918	−	0.426542i
$668$	3.78419	−	1.27504i	0.146415	−	0.0493329i
$669$	3.93219	+	3.72477i	0.152027	+	0.144008i
$670$	0.554352	−	3.38140i	0.0214165	−	0.130635i
$671$	−24.7806	−	2.69505i	−0.956644	−	0.104041i
$672$	2.30584	−	1.38738i	0.0889499	−	0.0535194i
$673$	−2.07515	+	2.44305i	−0.0799911	+	0.0941728i	−0.800702	−	0.599063i	$-0.795540\pi$
$673$	−2.07515	+	2.44305i	−0.0799911	+	0.0941728i	0.720711	+	0.693236i	$0.243816\pi$
$674$	−2.53232	+	1.17158i	−0.0975413	+	0.0451274i
$675$	−4.41202	−	2.04122i	−0.169819	−	0.0785665i
$676$	−4.67198	−	5.50028i	−0.179692	−	0.211549i
$677$	−1.65808	−	0.558673i	−0.0637253	−	0.0214715i	0.287258	−	0.957853i	$-0.407256\pi$
$677$	−1.65808	−	0.558673i	−0.0637253	−	0.0214715i	−0.350984	+	0.936382i	$0.614153\pi$
$678$	5.04746	+	9.52052i	0.193847	+	0.365634i
$679$	2.44913	+	4.61955i	0.0939890	+	0.177282i
$680$	−0.570218	−	0.192129i	−0.0218669	−	0.00736780i
$681$	14.6760	+	17.2779i	0.562386	+	0.662092i
$682$	1.69443	+	0.783925i	0.0648829	+	0.0300180i
$683$	−1.76472	+	0.816448i	−0.0675252	+	0.0312405i	−0.453361	−	0.891327i	$-0.649775\pi$
$683$	−1.76472	+	0.816448i	−0.0675252	+	0.0312405i	0.385836	+	0.922567i	$0.373913\pi$
$684$	−1.54160	+	1.81491i	−0.0589445	+	0.0693949i
$685$	5.23413	−	3.14927i	0.199986	−	0.120328i
$686$	−18.0802	−	1.96634i	−0.690305	−	0.0750752i
$687$	4.04469	−	24.6715i	0.154315	−	0.941278i
$688$	6.74002	+	6.38448i	0.256961	+	0.243406i
$689$	−17.4274	+	5.87196i	−0.663930	+	0.223704i
$690$	−1.34465	−	0.809049i	−0.0511900	−	0.0308000i
$691$	−15.8861	−	12.0763i	−0.604335	−	0.459404i	0.257719	−	0.966220i	$-0.417029\pi$
$691$	−15.8861	−	12.0763i	−0.604335	−	0.459404i	−0.862054	+	0.506816i	$0.830822\pi$
$692$	−1.36895	+	3.43581i	−0.0520397	+	0.130610i
$693$	8.39498	−	12.3817i	0.318899	−	0.470341i
$694$	3.25294	+	19.8421i	0.123480	+	0.753195i
$695$	−0.395257	−	7.29008i	−0.0149929	−	0.276529i
$696$	−4.95197	−	1.09001i	−0.187704	−	0.0413168i
$697$	1.65852	+	4.16257i	0.0628209	+	0.157669i
$698$	−2.81382	+	10.1345i	−0.106505	+	0.383595i
$699$	−0.764875	+	14.1073i	−0.0289302	+	0.533587i
$700$	13.0054	−	1.41442i	0.491557	−	0.0534600i
$701$	−6.65155	+	5.05638i	−0.251226	+	0.190977i	−0.723206	−	0.690632i	$-0.757332\pi$
$701$	−6.65155	+	5.05638i	−0.251226	+	0.190977i	0.471981	+	0.881609i	$0.343539\pi$
$702$	−0.643366	−	2.31720i	−0.0242823	−	0.0874569i
$703$	12.1428	−	2.67283i	0.457974	−	0.100808i
$704$	3.11959	+	4.60106i	0.117574	+	0.173409i
$705$	1.68402	−	1.59519i	0.0634240	−	0.0600784i
$706$	−7.05355	+	13.3044i	−0.265464	+	0.500718i
$707$	5.35414			0.201363
$708$	−5.30857	−	5.55149i	−0.199508	−	0.208638i
$709$	0.241541			0.00907125			0.00453562	−	0.999990i	$-0.498556\pi$
$709$	0.241541			0.00907125			0.00453562	+	0.999990i	$0.498556\pi$
$710$	−0.467356	+	0.881526i	−0.0175395	+	0.0330831i
$711$	−9.76411	+	9.24906i	−0.366183	+	0.346867i
$712$	−2.30328	−	3.39709i	−0.0863191	−	0.127311i
$713$	1.38221	−	0.304247i	0.0517641	−	0.0113941i
$714$	−1.16327	−	4.18971i	−0.0435342	−	0.156796i
$715$	3.96320	−	3.01274i	0.148215	−	0.112670i
$716$	8.85730	−	0.963289i	0.331013	−	0.0359998i
$717$	1.19393	−	22.0208i	0.0445882	−	0.822381i
$718$	5.68138	−	20.4625i	0.212027	−	0.763653i
$719$	−1.59947	−	4.01437i	−0.0596502	−	0.149711i	0.896131	−	0.443790i	$-0.146366\pi$
$719$	−1.59947	−	4.01437i	−0.0596502	−	0.149711i	−0.955781	+	0.294079i	$0.904987\pi$
$720$	−0.363688	−	0.0800537i	−0.0135538	−	0.00298343i
$721$	−1.51585	−	27.9582i	−0.0564531	−	1.04122i
$722$	−2.15648	−	13.1540i	−0.0802560	−	0.489540i
$723$	−16.7567	+	24.7142i	−0.623187	+	0.919131i
$724$	4.52255	−	11.3507i	0.168079	−	0.421847i
$725$	−19.6232	−	14.9172i	−0.728789	−	0.554011i
$726$	17.0528	+	10.2603i	0.632890	+	0.380797i
$727$	25.9316	−	8.73738i	0.961750	−	0.324051i	0.205737	−	0.978607i	$-0.434041\pi$
$727$	25.9316	−	8.73738i	0.961750	−	0.324051i	0.756014	+	0.654556i	$0.227144\pi$
$728$	4.69834	+	4.45050i	0.174132	+	0.164946i
$729$	−0.161782	+	0.986827i	−0.00599193	+	0.0365491i
$730$	−2.42674	−	0.263924i	−0.0898177	−	0.00976826i
$731$	12.8536	−	7.73374i	0.475407	−	0.286043i
$732$	−2.90294	+	3.41761i	−0.107296	+	0.126318i
$733$	0.570749	−	0.264057i	0.0210811	−	0.00975315i	−0.409320	−	0.912391i	$-0.634234\pi$
$733$	0.570749	−	0.264057i	0.0210811	−	0.00975315i	0.430401	+	0.902638i	$0.358372\pi$
$734$	13.4707	+	6.23219i	0.497211	+	0.230034i
$735$	−0.0582795	−	0.0686119i	−0.00214967	−	0.00253079i
$736$	3.99344	+	1.34555i	0.147200	+	0.0495976i
$737$	23.9589	+	45.1914i	0.882539	+	1.66465i
$738$	1.29895	+	2.45008i	0.0478151	+	0.0901888i
$739$	17.7381	+	5.97667i	0.652508	+	0.219856i	0.626036	−	0.779794i	$-0.284676\pi$
$739$	17.7381	+	5.97667i	0.652508	+	0.219856i	0.0264718	+	0.999650i	$0.491573\pi$
$740$	1.25878	+	1.48195i	0.0462738	+	0.0544777i
$741$	−5.19732	−	2.40454i	−0.190928	−	0.0883329i
$742$	−18.6766	+	8.64072i	−0.685640	+	0.317211i
$743$	−23.1896	+	27.3009i	−0.850744	+	1.00157i	0.149175	+	0.988811i	$0.452338\pi$
$743$	−23.1896	+	27.3009i	−0.850744	+	1.00157i	−0.999919	+	0.0127621i	$0.995938\pi$
$744$	0.287778	−	0.173150i	0.0105505	−	0.00634800i
$745$	5.45123	+	0.592857i	0.199718	+	0.0217206i
$746$	5.36093	−	32.7002i	0.196278	−	1.19724i
$747$	−10.7070	−	10.1422i	−0.391748	−	0.371084i
$748$	8.51194	−	2.86801i	0.311227	−	0.104865i
$749$	−44.2032	−	26.5962i	−1.61515	−	0.971804i
$750$	−2.92349	−	2.22238i	−0.106751	−	0.0811498i
$751$	−10.0333	+	25.1817i	−0.366120	+	0.918891i	0.624348	+	0.781146i	$0.285365\pi$
$751$	−10.0333	+	25.1817i	−0.366120	+	0.918891i	−0.990468	+	0.137745i	$0.956015\pi$
$752$	−3.49558	+	5.15559i	−0.127471	+	0.188005i
$753$	−1.87024	−	11.4079i	−0.0681553	−	0.415729i
$754$	−0.660162	−	12.1760i	−0.0240417	−	0.443423i
$755$	−6.20062	−	1.36486i	−0.225664	−	0.0496724i
$756$	−0.996060	−	2.49992i	−0.0362263	−	0.0909213i
$757$	12.9814	−	46.7548i	0.471817	−	1.69933i	−0.218511	−	0.975835i	$-0.570120\pi$
$757$	12.9814	−	46.7548i	0.471817	−	1.69933i	0.690328	−	0.723497i	$-0.257466\pi$
$758$	0.127275	−	2.34745i	0.00462284	−	0.0852632i
$759$	23.2882	−	2.53274i	0.845307	−	0.0919327i
$760$	−0.705951	+	0.536650i	−0.0256075	+	0.0194663i
$761$	3.74882	+	13.5020i	0.135895	+	0.489448i	0.999902	−	0.0140318i	$-0.00446660\pi$
$761$	3.74882	+	13.5020i	0.135895	+	0.489448i	−0.864007	+	0.503480i	$0.832053\pi$
$762$	5.78328	−	1.27300i	0.209506	−	0.0461158i
$763$	−12.1104	−	17.8616i	−0.438428	−	0.646633i
$764$	−11.0708	+	10.4868i	−0.400527	+	0.379399i
$765$	−0.281849	+	0.531623i	−0.0101903	+	0.0192209i
$766$	30.7698			1.11176
$767$	9.44855	−	15.8726i	0.341167	−	0.573128i
$768$	1.00000			0.0360844
$769$	14.5417	−	27.4286i	0.524388	−	0.989100i	−0.469936	−	0.882701i	$-0.655723\pi$
$769$	14.5417	−	27.4286i	0.524388	−	0.989100i	0.994323	−	0.106399i	$-0.0339322\pi$
$770$	4.04435	−	3.83101i	0.145748	−	0.138060i
$771$	−4.33628	−	6.39554i	−0.156167	−	0.230330i
$772$	−17.9771	+	3.95707i	−0.647011	+	0.142418i
$773$	2.61115	+	9.40450i	0.0939164	+	0.338256i	0.995549	−	0.0942468i	$-0.0300443\pi$
$773$	2.61115	+	9.40450i	0.0939164	+	0.338256i	−0.901632	+	0.432503i	$0.857630\pi$
$774$	7.39079	−	5.61833i	0.265656	−	0.201947i
$775$	1.62312	−	0.176525i	0.0583042	−	0.00634096i
$776$	−0.105190	+	1.94012i	−0.00377611	+	0.0696462i
$777$	−3.75903	+	13.5388i	−0.134854	+	0.485702i
$778$	1.84335	+	4.62645i	0.0660872	+	0.165866i
$779$	6.44915	+	1.41956i	0.231065	+	0.0508612i
$780$	−0.0484843	−	0.894240i	−0.00173602	−	0.0320189i
$781$	−2.40958	−	14.6978i	−0.0862214	−	0.525927i
$782$	3.82115	−	5.63578i	0.136644	−	0.201535i
$783$	−1.87679	+	4.71039i	−0.0670711	+	0.168336i
$784$	0.192448	+	0.146295i	0.00687314	+	0.00522482i
$785$	−2.34183	−	1.40903i	−0.0835835	−	0.0502905i
$786$	−11.6152	+	3.91360i	−0.414299	+	0.139594i
$787$	−0.582026	−	0.551324i	−0.0207470	−	0.0196526i	0.677256	−	0.735748i	$-0.263169\pi$
$787$	−0.582026	−	0.551324i	−0.0207470	−	0.0196526i	−0.698003	+	0.716095i	$0.745928\pi$
$788$	−1.66011	+	10.1262i	−0.0591390	+	0.360732i
$789$	2.40795	+	0.261881i	0.0857254	+	0.00932319i
$790$	−4.29151	+	2.58212i	−0.152685	+	0.0918675i
$791$	−18.7730	+	22.1013i	−0.667491	+	0.785831i
$792$	5.04514	−	2.33413i	0.179271	−	0.0829397i
$793$	−9.78692	−	4.52791i	−0.347544	−	0.160791i
$794$	−18.7397	−	22.0620i	−0.665046	−	0.782952i
$795$	2.69865	+	0.909280i	0.0957111	+	0.0322488i
$796$	−1.41468	−	2.66837i	−0.0501420	−	0.0945778i
$797$	20.5787	+	38.8155i	0.728935	+	1.37492i	0.919440	+	0.393231i	$0.128643\pi$
$797$	20.5787	+	38.8155i	0.728935	+	1.37492i	−0.190505	+	0.981686i	$0.561012\pi$
$798$	−6.07266	−	2.04612i	−0.214970	−	0.0724318i
$799$	6.51574	+	7.67092i	0.230510	+	0.271378i
$800$	4.41202	+	2.04122i	0.155988	+	0.0721679i
$801$	−3.72496	+	1.72335i	−0.131615	+	0.0608916i
$802$	−2.55809	+	3.01162i	−0.0903293	+	0.106344i
$803$	31.2229	−	18.7862i	1.10183	−	0.662950i
$804$	9.14743	+	0.994843i	0.322605	+	0.0350854i
$805$	0.683207	−	4.16738i	0.0240799	−	0.146881i
$806$	0.586371	+	0.555440i	0.0206540	+	0.0195645i
$807$	−17.9640	+	6.05276i	−0.632361	+	0.213067i
$808$	1.70481	+	1.02575i	0.0599751	+	0.0360858i
$809$	−30.8260	−	23.4333i	−1.08378	−	0.823871i	−0.0985578	−	0.995131i	$-0.531423\pi$
$809$	−30.8260	−	23.4333i	−1.08378	−	0.823871i	−0.985226	+	0.171260i	$0.945216\pi$
$810$	−0.137837	+	0.345945i	−0.00484311	+	0.0121553i
$811$	27.3191	−	40.2927i	0.959304	−	1.41487i	0.0499941	−	0.998750i	$-0.484080\pi$
$811$	27.3191	−	40.2927i	0.959304	−	1.41487i	0.909310	−	0.416119i	$-0.136610\pi$
$812$	−2.20752	−	13.4653i	−0.0774687	−	0.472538i
$813$	−0.0327963	−	0.604892i	−0.00115022	−	0.0212145i
$814$	−28.3466	−	6.23956i	−0.993548	−	0.218696i
$815$	1.79481	+	4.50463i	0.0628694	+	0.157790i
$816$	0.432273	−	1.55691i	0.0151326	−	0.0545027i
$817$	1.19686	−	22.0748i	0.0418730	−	0.772301i
$818$	39.0471	−	4.24663i	1.36525	−	0.148480i
$819$	5.15198	−	3.91643i	0.180025	−	0.136851i
$820$	0.276274	+	0.995051i	0.00964792	+	0.0347487i
$821$	−48.8161	+	10.7452i	−1.70369	+	0.375012i	−0.956985	−	0.290138i	$-0.906299\pi$
$821$	−48.8161	+	10.7452i	−1.70369	+	0.375012i	−0.746710	+	0.665150i	$0.768368\pi$
$822$	9.20537	+	13.5769i	0.321074	+	0.473549i
$823$	9.63219	−	9.12410i	0.335757	−	0.318046i	−0.501182	−	0.865342i	$-0.667101\pi$
$823$	9.63219	−	9.12410i	0.335757	−	0.318046i	0.836939	+	0.547296i	$0.184343\pi$
$824$	4.87359	−	9.19257i	0.169780	−	0.320238i
$825$	27.0237			0.940845
$826$	8.59064	−	18.8006i	0.298907	−	0.654157i
$827$	24.1775			0.840736			0.420368	−	0.907354i	$-0.361901\pi$
$827$	24.1775			0.840736			0.420368	+	0.907354i	$0.361901\pi$
$828$	1.97389	−	3.72315i	0.0685974	−	0.129388i
$829$	5.67463	−	5.37530i	0.197088	−	0.186692i	−0.582791	−	0.812622i	$-0.698039\pi$
$829$	5.67463	−	5.37530i	0.197088	−	0.186692i	0.779879	+	0.625930i	$0.215281\pi$
$830$	−3.08208	−	4.54573i	−0.106981	−	0.157785i
$831$	−8.96667	+	1.97371i	−0.311050	+	0.0684674i
$832$	0.643366	+	2.31720i	0.0223047	+	0.0803343i
$833$	0.310958	−	0.236384i	0.0107741	−	0.00819022i
$834$	19.4901	−	2.11967i	0.674886	−	0.0733983i
$835$	0.0805075	−	1.48487i	0.00278608	−	0.0513862i
$836$	3.54135	−	12.7548i	0.122480	−	0.441133i
$837$	−0.124312	−	0.312000i	−0.00429686	−	0.0107843i
$838$	−0.936050	−	0.206040i	−0.0323353	−	0.00711754i
$839$	−2.85722	−	52.6983i	−0.0986421	−	1.81935i	−0.461102	−	0.887347i	$-0.652546\pi$
$839$	−2.85722	−	52.6983i	−0.0986421	−	1.81935i	0.362459	−	0.932000i	$-0.381937\pi$
$840$	−0.162127	−	0.988929i	−0.00559390	−	0.0341213i
$841$	1.84622	−	2.72297i	0.0636626	−	0.0938954i
$842$	1.99196	−	4.99945i	0.0686475	−	0.172292i
$843$	−3.38607	−	2.57403i	−0.116623	−	0.0886542i
$844$	14.7555	+	8.87807i	0.507904	+	0.305596i
$845$	−2.54677	+	0.858106i	−0.0876115	+	0.0295198i
$846$	4.52215	+	4.28361i	0.155475	+	0.147274i
$847$	−8.66442	+	52.8506i	−0.297713	+	1.81597i
$848$	−7.60222	−	0.826791i	−0.261061	−	0.0283921i
$849$	−0.894371	+	0.538125i	−0.0306947	+	0.0184684i
$850$	5.08518	−	5.98674i	0.174420	−	0.205343i
$851$	−19.9694	+	9.23884i	−0.684543	+	0.316703i
$852$	−2.43166	−	1.12501i	−0.0833073	−	0.0385421i
$853$	14.0793	+	16.5754i	0.482066	+	0.567532i	0.948400	−	0.317077i	$-0.102701\pi$
$853$	14.0793	+	16.5754i	0.482066	+	0.567532i	−0.466334	+	0.884609i	$0.654425\pi$
$854$	−11.4352	−	3.85298i	−0.391306	−	0.131846i
$855$	0.415370	+	0.783472i	0.0142054	+	0.0267942i
$856$	−8.97943	−	16.9370i	−0.306911	−	0.578895i
$857$	−43.4767	−	14.6490i	−1.48514	−	0.500401i	−0.544192	−	0.838961i	$-0.683164\pi$
$857$	−43.4767	−	14.6490i	−1.48514	−	0.500401i	−0.940945	+	0.338560i	$0.890060\pi$
$858$	8.65451	+	10.1889i	0.295460	+	0.347843i
$859$	43.3627	+	20.0617i	1.47951	+	0.684496i	0.983012	−	0.183539i	$-0.0587554\pi$
$859$	43.3627	+	20.0617i	1.47951	+	0.684496i	0.496502	+	0.868035i	$0.334617\pi$
$860$	3.13771	−	1.45166i	0.106995	−	0.0495011i
$861$	−4.83118	+	5.68770i	−0.164646	+	0.193836i
$862$	−18.0618	+	10.8674i	−0.615187	+	0.370145i
$863$	37.7080	+	4.10099i	1.28360	+	0.139599i	0.724367	−	0.689414i	$-0.242132\pi$
$863$	37.7080	+	4.10099i	1.28360	+	0.139599i	0.559228	+	0.829014i	$0.311098\pi$
$864$	0.161782	−	0.986827i	0.00550394	−	0.0335725i
$865$	0.999909	+	0.947164i	0.0339979	+	0.0322045i
$866$	16.8907	−	5.69115i	0.573971	−	0.193393i
$867$	12.3295	+	7.41840i	0.418731	+	0.251942i
$868$	0.719507	+	0.546955i	0.0244217	+	0.0185649i
$869$	27.6728	−	69.4535i	0.938736	−	2.35605i
$870$	−1.05965	+	1.56287i	−0.0359255	+	0.0529862i
$871$	3.57990	+	21.8364i	0.121300	+	0.739900i
$872$	−0.434151	−	8.00744i	−0.0147022	−	0.271166i
$873$	1.89754	+	0.417681i	0.0642221	+	0.0141363i
$874$	−3.71424	−	9.32204i	−0.125636	−	0.315323i
$875$	2.64380	−	9.52212i	0.0893769	−	0.321906i
$876$	0.354881	−	6.54540i	0.0119903	−	0.221149i
$877$	−13.3695	+	1.45402i	−0.451456	+	0.0490988i	−0.331023	−	0.943623i	$-0.607394\pi$
$877$	−13.3695	+	1.45402i	−0.451456	+	0.0490988i	−0.120433	+	0.992721i	$0.538428\pi$
$878$	−28.6876	+	21.8077i	−0.968159	+	0.735975i
$879$	7.64204	+	27.5242i	0.257760	+	0.928367i
$880$	2.02171	−	0.445012i	0.0681519	−	0.0150014i
$881$	24.7282	+	36.4714i	0.833114	+	1.22875i	0.971184	+	0.238329i	$0.0765998\pi$
$881$	24.7282	+	36.4714i	0.833114	+	1.22875i	−0.138070	+	0.990422i	$0.544090\pi$
$882$	0.175502	−	0.166245i	0.00590948	−	0.00559775i
$883$	13.1638	−	24.8295i	0.442996	−	0.835579i	−0.556991	−	0.830519i	$-0.688044\pi$
$883$	13.1638	−	24.8295i	0.442996	−	0.835579i	0.999987	−	0.00506089i	$-0.00161094\pi$
$884$	3.88577			0.130693
$885$	−2.65223	+	1.07127i	−0.0891538	+	0.0360104i
$886$	−28.2715			−0.949799
$887$	19.2119	−	36.2375i	0.645073	−	1.21674i	−0.318152	−	0.948040i	$-0.603062\pi$
$887$	19.2119	−	36.2375i	0.645073	−	1.21674i	0.963225	−	0.268697i	$-0.0865929\pi$
$888$	−3.79069	+	3.59073i	−0.127207	+	0.120497i
$889$	8.94288	+	13.1898i	0.299935	+	0.442371i
$890$	−1.49268	+	0.328565i	−0.0500349	+	0.0110135i
$891$	−1.48717	−	5.35630i	−0.0498220	−	0.179443i
$892$	−4.31185	+	3.27779i	−0.144372	+	0.109748i
$893$	14.7457	−	1.60369i	0.493447	−	0.0536656i
$894$	−0.797177	+	14.7031i	−0.0266616	+	0.491744i
$895$	0.887620	−	3.19692i	0.0296699	−	0.106861i
$896$	0.996060	+	2.49992i	0.0332760	+	0.0835165i
$897$	9.89721	+	2.17854i	0.330458	+	0.0727393i
$898$	−0.321530	−	5.93027i	−0.0107296	−	0.197896i
$899$	−0.275507	−	1.68052i	−0.00918866	−	0.0560484i
$900$	2.72811	−	4.02366i	0.0909370	−	0.134122i
$901$	−4.57347	+	11.4786i	−0.152364	+	0.382406i
$902$	−12.2722	−	9.32908i	−0.408620	−	0.310625i
$903$	21.4071	+	12.8802i	0.712382	+	0.428626i
$904$	−10.2117	+	3.44072i	−0.339636	+	0.114437i
$905$	−3.30336	−	3.12911i	−0.109807	−	0.104015i
$906$	2.75827	−	16.8247i	0.0916374	−	0.558964i
$907$	−1.92547	−	0.209408i	−0.0639342	−	0.00695327i	0.0760960	−	0.997100i	$-0.475754\pi$
$907$	−1.92547	−	0.209408i	−0.0639342	−	0.00695327i	−0.140030	+	0.990147i	$0.544720\pi$
$908$	−19.4246	+	11.6874i	−0.644629	+	0.387861i
$909$	1.28805	−	1.51641i	0.0427218	−	0.0502960i
$910$	2.18724	−	1.01192i	0.0725062	−	0.0335449i
$911$	−23.8428	−	11.0308i	−0.789946	−	0.365468i	−0.0169315	−	0.999857i	$-0.505390\pi$
$911$	−23.8428	−	11.0308i	−0.789946	−	0.365468i	−0.773014	+	0.634389i	$0.781252\pi$
$912$	−1.54160	−	1.81491i	−0.0510475	−	0.0600977i
$913$	77.6915	+	26.1773i	2.57121	+	0.866343i
$914$	4.03023	+	7.60183i	0.133308	+	0.251446i
$915$	0.782172	+	1.47533i	0.0258578	+	0.0487730i
$916$	23.6922	+	7.98282i	0.782812	+	0.263760i
$917$	−21.3531	−	25.1388i	−0.705141	−	0.830156i
$918$	−1.46646	−	0.678458i	−0.0484005	−	0.0223925i
$919$	−19.7094	+	9.11855i	−0.650154	+	0.300793i	−0.717107	−	0.696963i	$-0.754534\pi$
$919$	−19.7094	+	9.11855i	−0.650154	+	0.300793i	0.0669532	+	0.997756i	$0.478672\pi$
$920$	1.01593	−	1.19605i	0.0334943	−	0.0394325i
$921$	−27.0199	+	16.2573i	−0.890336	+	0.535697i
$922$	−25.2186	−	2.74268i	−0.830529	−	0.0903255i
$923$	1.04241	−	6.35842i	0.0343114	−	0.209290i
$924$	10.8604	+	10.2875i	0.357281	+	0.338434i
$925$	−24.0541	+	8.10476i	−0.790893	+	0.266483i
$926$	19.2029	+	11.5540i	0.631047	+	0.379688i
$927$	−8.28301	−	6.29658i	−0.272050	−	0.206807i
$928$	1.87679	−	4.71039i	0.0616087	−	0.154626i
$929$	16.9100	−	24.9404i	0.554800	−	0.818269i	−0.442098	−	0.896967i	$-0.645766\pi$
$929$	16.9100	−	24.9404i	0.554800	−	0.818269i	0.996899	+	0.0786975i	$0.0250761\pi$
$930$	−0.0202340	−	0.123422i	−0.000663500	−	0.00404717i
$931$	−0.0311650	−	0.574804i	−0.00102139	−	0.0188385i
$932$	−13.7977	−	3.03710i	−0.451959	−	0.0994837i
$933$	5.66410	+	14.2158i	0.185434	+	0.465405i
$934$	−3.57875	+	12.8895i	−0.117100	+	0.421757i
$935$	0.181089	−	3.33998i	0.00592223	−	0.109229i
$936$	2.39076	−	0.260010i	0.0781443	−	0.00849871i
$937$	−20.1239	+	15.2978i	−0.657420	+	0.499758i	−0.879887	−	0.475182i	$-0.842382\pi$
$937$	−20.1239	+	15.2978i	−0.657420	+	0.499758i	0.222467	+	0.974940i	$0.428589\pi$
$938$	6.62436	+	23.8588i	0.216293	+	0.779017i
$939$	8.79979	−	1.93698i	0.287170	−	0.0632110i
$940$	1.30173	+	1.91991i	0.0424578	+	0.0626206i
$941$	35.9881	−	34.0897i	1.17318	−	1.11129i	0.181389	−	0.983411i	$-0.441941\pi$
$941$	35.9881	−	34.0897i	1.17318	−	1.11129i	0.991789	−	0.127883i	$-0.0408181\pi$
$942$	3.43771	−	6.48421i	0.112007	−	0.211267i
$943$	−11.6860			−0.380549
$944$	6.33719	−	4.34051i	0.206258	−	0.141271i
$945$	−1.00213			−0.0325993
$946$	−24.1736	+	45.5963i	−0.785953	+	1.48246i
$947$	−32.2858	+	30.5827i	−1.04915	+	0.993804i	−0.999988	−	0.00498650i	$-0.998413\pi$
$947$	−32.2858	+	30.5827i	−1.04915	+	0.993804i	−0.0491590	+	0.998791i	$0.515654\pi$
$948$	−7.54756	−	11.1318i	−0.245133	−	0.361545i
$949$	15.3953	−	3.38876i	0.499753	−	0.110004i
$950$	−3.09694	−	11.1542i	−0.100478	−	0.361889i
$951$	2.73378	−	2.07816i	0.0886488	−	0.0673890i
$952$	4.32272	−	0.470124i	0.140100	−	0.0152368i
$953$	0.584394	−	10.7785i	0.0189304	−	0.349150i	−0.973689	−	0.227880i	$-0.926821\pi$
$953$	0.584394	−	10.7785i	0.0189304	−	0.349150i	0.992620	−	0.121270i	$-0.0386967\pi$
$954$	−2.04580	+	7.36831i	−0.0662353	+	0.238558i
$955$	2.10189	+	5.27535i	0.0680157	+	0.170706i
$956$	21.5375	+	4.74077i	0.696573	+	0.153327i
$957$	−1.52599	−	28.1453i	−0.0493283	−	0.909807i
$958$	−5.21974	−	31.8390i	−0.168642	−	1.02867i
$959$	−24.7721	+	36.5361i	−0.799932	+	1.17981i
$960$	0.137837	−	0.345945i	0.00444868	−	0.0111653i
$961$	−24.5891	−	18.6921i	−0.793196	−	0.602972i
$962$	−10.7592	−	6.47362i	−0.346892	−	0.208718i
$963$	−18.1666	+	6.12104i	−0.585410	+	0.197248i
$964$	−21.6777	−	20.5342i	−0.698192	−	0.661363i
$965$	−1.10899	+	6.76454i	−0.0356996	+	0.217758i
$966$	11.2737	+	1.22609i	0.362725	+	0.0394487i
$967$	7.81812	−	4.70401i	0.251414	−	0.151271i	−0.384269	−	0.923221i	$-0.625546\pi$
$967$	7.81812	−	4.70401i	0.251414	−	0.151271i	0.635682	+	0.771951i	$0.280719\pi$
$968$	−12.8840	+	15.1682i	−0.414108	+	0.487526i
$969$	−3.49204	+	1.61559i	−0.112181	+	0.0519002i
$970$	0.656676	+	0.303811i	0.0210846	+	0.00975477i
$971$	−26.9666	−	31.7475i	−0.865399	−	1.01883i	−0.999611	−	0.0278740i	$-0.991126\pi$
$971$	−26.9666	−	31.7475i	−0.865399	−	1.01883i	0.134212	−	0.990953i	$-0.457150\pi$
$972$	−0.947653	−	0.319302i	−0.0303960	−	0.0102416i
$973$	24.7123	+	46.6124i	0.792240	+	1.49432i
$974$	−18.0999	−	34.1401i	−0.579960	−	1.09392i
$975$	11.0788	+	3.73288i	0.354805	+	0.119548i
$976$	−2.90294	−	3.41761i	−0.0929209	−	0.109395i
$977$	25.5314	+	11.8121i	0.816823	+	0.377903i	0.783384	−	0.621538i	$-0.213492\pi$
$977$	25.5314	+	11.8121i	0.816823	+	0.377903i	0.0334391	+	0.999441i	$0.489354\pi$
$978$	−11.8177	+	5.46747i	−0.377890	+	0.174830i
$979$	14.7704	−	17.3891i	0.472065	−	0.555758i
$980$	0.0771366	−	0.0464115i	0.00246404	−	0.00148256i
$981$	−7.97219	−	0.867028i	−0.254533	−	0.0276821i
$982$	1.76354	−	10.7571i	0.0562769	−	0.343274i
$983$	−19.2146	−	18.2010i	−0.612849	−	0.580522i	0.317017	−	0.948420i	$-0.397319\pi$
$983$	−19.2146	−	18.2010i	−0.612849	−	0.580522i	−0.929866	+	0.367898i	$0.880077\pi$
$984$	−2.62795	+	0.885460i	−0.0837761	+	0.0282274i
$985$	3.27429	+	1.97008i	0.104328	+	0.0627719i
$986$	−6.52236	−	4.95817i	−0.207714	−	0.157900i
$987$	−6.20436	+	15.5718i	−0.197487	+	0.495655i
$988$	3.21369	−	4.73984i	0.102241	−	0.150794i
$989$	6.32930	+	38.6070i	0.201260	+	1.22763i
$990$	−0.112073	−	2.06707i	−0.00356193	−	0.0656959i
$991$	31.2473	+	6.87804i	0.992602	+	0.218488i	0.681444	−	0.731870i	$-0.261352\pi$
$991$	31.2473	+	6.87804i	0.992602	+	0.218488i	0.311158	+	0.950358i	$0.399283\pi$
$992$	0.124312	+	0.312000i	0.00394691	+	0.00990601i
$993$	−8.48945	+	30.5763i	−0.269405	+	0.970308i
$994$	0.390347	−	7.19953i	0.0123811	−	0.228355i
$995$	−1.11810	+	0.121601i	−0.0354463	+	0.00385502i
$996$	11.7408	−	8.92512i	0.372021	−	0.282803i
$997$	16.2443	+	58.5065i	0.514461	+	1.85292i	0.521996	+	0.852948i	$0.325188\pi$
$997$	16.2443	+	58.5065i	0.514461	+	1.85292i	−0.00753484	+	0.999972i	$0.502398\pi$
$998$	−3.96361	+	0.872456i	−0.125466	+	0.0276171i
$999$	2.93017	+	4.32167i	0.0927063	+	0.136732i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	354.2.e.d.19.1	✓	84
59.28	even	29	inner	354.2.e.d.205.1	yes	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
354.2.e.d.19.1	✓	84	1.1	even	1	trivial
354.2.e.d.205.1	yes	84	59.28	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)

\(f(q)\)	\(=\)	\(q+(-0.468408 + 0.883512i) q^{2} +(-0.725995 + 0.687699i) q^{3} +(-0.561187 - 0.827689i) q^{4} +(-0.363688 + 0.0800537i) q^{5} +(-0.267528 - 0.963550i) q^{6} +(2.14232 - 1.62855i) q^{7} +(0.994138 - 0.108119i) q^{8} +(0.0541389 - 0.998533i) q^{9} +O(q^{10})\)	\(q+(-0.468408 + 0.883512i) q^{2} +(-0.725995 + 0.687699i) q^{3} +(-0.561187 - 0.827689i) q^{4} +(-0.363688 + 0.0800537i) q^{5} +(-0.267528 - 0.963550i) q^{6} +(2.14232 - 1.62855i) q^{7} +(0.994138 - 0.108119i) q^{8} +(0.0541389 - 0.998533i) q^{9} +(0.0996260 - 0.358820i) q^{10} +(2.05757 + 5.16411i) q^{11} +(0.976621 + 0.214970i) q^{12} +(0.130196 + 2.40133i) q^{13} +(0.435363 + 2.65560i) q^{14} +(0.208983 - 0.308226i) q^{15} +(-0.370138 + 0.928977i) q^{16} +(1.28633 + 0.977843i) q^{17} +(0.856857 + 0.515554i) q^{18} +(2.25662 - 0.760342i) q^{19} +(0.270356 + 0.256095i) q^{20} +(-0.435363 + 2.65560i) q^{21} +(-5.52633 - 0.601025i) q^{22} +(-3.61083 + 2.17256i) q^{23} +(-0.647386 + 0.762162i) q^{24} +(-4.41202 + 2.04122i) q^{25} +(-2.18259 - 1.00977i) q^{26} +(0.647386 + 0.762162i) q^{27} +(-2.55018 - 0.859256i) q^{28} +(2.37507 + 4.47986i) q^{29} +(0.174433 + 0.329015i) q^{30} +(-0.318272 - 0.107238i) q^{31} +(-0.647386 - 0.762162i) q^{32} +(-5.04514 - 2.33413i) q^{33} +(-1.46646 + 0.678458i) q^{34} +(-0.648765 + 0.763786i) q^{35} +(-0.856857 + 0.515554i) q^{36} +(5.19076 + 0.564530i) q^{37} +(-0.385246 + 2.34990i) q^{38} +(-1.74591 - 1.65382i) q^{39} +(-0.352900 + 0.118906i) q^{40} +(2.37616 + 1.42969i) q^{41} +(-2.14232 - 1.62855i) q^{42} +(3.43630 - 8.62446i) q^{43} +(3.11959 - 4.60106i) q^{44} +(0.0602467 + 0.367488i) q^{45} +(-0.228143 - 4.20786i) q^{46} +(6.08327 + 1.33903i) q^{47} +(-0.370138 - 0.928977i) q^{48} +(0.0646724 - 0.232929i) q^{49} +(0.263187 - 4.85419i) q^{50} +(-1.60633 + 0.174699i) q^{51} +(1.91449 - 1.45536i) q^{52} +(2.04580 + 7.36831i) q^{53} +(-0.976621 + 0.214970i) q^{54} +(-1.16172 - 1.71341i) q^{55} +(1.95369 - 1.85063i) q^{56} +(-1.11541 + 2.10388i) q^{57} -5.07052 q^{58} +(-6.37787 - 4.28052i) q^{59} -0.372394 q^{60} +(-2.10039 + 3.96175i) q^{61} +(0.243828 - 0.230966i) q^{62} +(-1.51018 - 2.22735i) q^{63} +(0.976621 - 0.214970i) q^{64} +(-0.239586 - 0.862910i) q^{65} +(4.42542 - 3.36412i) q^{66} +(9.14743 - 0.994843i) q^{67} +(0.0874778 - 1.61343i) q^{68} +(1.12737 - 4.06043i) q^{69} +(-0.370927 - 0.930956i) q^{70} +(-2.61665 - 0.575969i) q^{71} +(-0.0541389 - 0.998533i) q^{72} +(-1.06048 - 6.46866i) q^{73} +(-2.93017 + 4.32167i) q^{74} +(1.79936 - 4.51606i) q^{75} +(-1.89571 - 1.44108i) q^{76} +(12.8180 + 7.71234i) q^{77} +(2.27897 - 0.767873i) q^{78} +(-9.76411 - 9.24906i) q^{79} +(0.0602467 - 0.367488i) q^{80} +(-0.994138 - 0.108119i) q^{81} +(-2.37616 + 1.42969i) q^{82} +(9.54766 - 11.2404i) q^{83} +(2.44233 - 1.12994i) q^{84} +(-0.546102 - 0.252654i) q^{85} +(6.01022 + 7.07578i) q^{86} +(-4.80509 - 1.61902i) q^{87} +(2.60385 + 4.91137i) q^{88} +(-1.92249 - 3.62620i) q^{89} +(-0.352900 - 0.118906i) q^{90} +(4.18961 + 4.93239i) q^{91} +(3.82455 + 1.76943i) q^{92} +(0.304812 - 0.141021i) q^{93} +(-4.03251 + 4.74743i) q^{94} +(-0.759835 + 0.457178i) q^{95} +(0.994138 + 0.108119i) q^{96} +(-0.314337 + 1.91737i) q^{97} +(0.175502 + 0.166245i) q^{98} +(5.26793 - 1.77497i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 2 q^{5} + 3 q^{6} - 7 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) \) 84 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 2 * q^5 + 3 * q^6 - 7 * q^7 + 3 * q^8 - 3 * q^9	\( 84 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 2 q^{5} + 3 q^{6} - 7 q^{7} + 3 q^{8} - 3 q^{9} + 2 q^{10} + 30 q^{11} - 3 q^{12} - 3 q^{13} + 7 q^{14} - 2 q^{15} - 3 q^{16} + 3 q^{17} + 3 q^{18} - 4 q^{19} - 2 q^{20} - 7 q^{21} - q^{22} + 2 q^{23} + 3 q^{24} - 67 q^{25} + 32 q^{26} - 3 q^{27} - 7 q^{28} + 4 q^{29} + 2 q^{30} - 6 q^{31} + 3 q^{32} + q^{33} + 26 q^{34} + 79 q^{35} - 3 q^{36} + 55 q^{37} + 4 q^{38} - 3 q^{39} + 2 q^{40} + q^{41} + 7 q^{42} + 51 q^{43} + q^{44} - 2 q^{45} - 31 q^{46} - 62 q^{47} - 3 q^{48} - 70 q^{49} + 9 q^{50} + 3 q^{51} - 32 q^{52} - 27 q^{53} + 3 q^{54} - 83 q^{55} + 7 q^{56} - 4 q^{57} - 120 q^{58} - 55 q^{59} + 56 q^{60} - 46 q^{61} - 23 q^{62} - 7 q^{63} - 3 q^{64} - 121 q^{65} - q^{66} + 8 q^{67} - 26 q^{68} - 27 q^{69} - 50 q^{70} - 61 q^{71} + 3 q^{72} + 49 q^{73} - 26 q^{74} - 9 q^{75} + 25 q^{76} + 77 q^{77} + 3 q^{78} - 5 q^{79} - 2 q^{80} - 3 q^{81} - q^{82} + 75 q^{83} - 7 q^{84} + 189 q^{85} + 65 q^{86} - 25 q^{87} - 30 q^{88} + 54 q^{89} + 2 q^{90} - 161 q^{91} + 2 q^{92} + 23 q^{93} + 33 q^{94} - 54 q^{95} + 3 q^{96} + 28 q^{97} + 12 q^{98} + q^{99}+O(q^{100}) \) 84 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 2 * q^5 + 3 * q^6 - 7 * q^7 + 3 * q^8 - 3 * q^9 + 2 * q^10 + 30 * q^11 - 3 * q^12 - 3 * q^13 + 7 * q^14 - 2 * q^15 - 3 * q^16 + 3 * q^17 + 3 * q^18 - 4 * q^19 - 2 * q^20 - 7 * q^21 - q^22 + 2 * q^23 + 3 * q^24 - 67 * q^25 + 32 * q^26 - 3 * q^27 - 7 * q^28 + 4 * q^29 + 2 * q^30 - 6 * q^31 + 3 * q^32 + q^33 + 26 * q^34 + 79 * q^35 - 3 * q^36 + 55 * q^37 + 4 * q^38 - 3 * q^39 + 2 * q^40 + q^41 + 7 * q^42 + 51 * q^43 + q^44 - 2 * q^45 - 31 * q^46 - 62 * q^47 - 3 * q^48 - 70 * q^49 + 9 * q^50 + 3 * q^51 - 32 * q^52 - 27 * q^53 + 3 * q^54 - 83 * q^55 + 7 * q^56 - 4 * q^57 - 120 * q^58 - 55 * q^59 + 56 * q^60 - 46 * q^61 - 23 * q^62 - 7 * q^63 - 3 * q^64 - 121 * q^65 - q^66 + 8 * q^67 - 26 * q^68 - 27 * q^69 - 50 * q^70 - 61 * q^71 + 3 * q^72 + 49 * q^73 - 26 * q^74 - 9 * q^75 + 25 * q^76 + 77 * q^77 + 3 * q^78 - 5 * q^79 - 2 * q^80 - 3 * q^81 - q^82 + 75 * q^83 - 7 * q^84 + 189 * q^85 + 65 * q^86 - 25 * q^87 - 30 * q^88 + 54 * q^89 + 2 * q^90 - 161 * q^91 + 2 * q^92 + 23 * q^93 + 33 * q^94 - 54 * q^95 + 3 * q^96 + 28 * q^97 + 12 * q^98 + q^99

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