LMFDB - Embedded newform 354.2.e.b.205.2

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			205.2
Character	$\chi$	$=$	354.205
Dual form			354.2.e.b.19.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.468408 - 0.883512i) q^{2} +(0.725995 + 0.687699i) q^{3} +(-0.561187 + 0.827689i) q^{4} +(3.92252 + 0.863413i) q^{5} +(0.267528 - 0.963550i) q^{6} +(-0.604650 - 0.459643i) q^{7} +(0.994138 + 0.108119i) q^{8} +(0.0541389 + 0.998533i) q^{9} +O(q^{10})$	\(q+(-0.468408 - 0.883512i) q^{2} +(0.725995 + 0.687699i) q^{3} +(-0.561187 + 0.827689i) q^{4} +(3.92252 + 0.863413i) q^{5} +(0.267528 - 0.963550i) q^{6} +(-0.604650 - 0.459643i) q^{7} +(0.994138 + 0.108119i) q^{8} +(0.0541389 + 0.998533i) q^{9} +(-1.07451 - 3.87003i) q^{10} +(-0.299077 + 0.750627i) q^{11} +(-0.976621 + 0.214970i) q^{12} +(0.00237843 - 0.0438676i) q^{13} +(-0.122877 + 0.749516i) q^{14} +(2.25397 + 3.32435i) q^{15} +(-0.370138 - 0.928977i) q^{16} +(-3.64238 + 2.76887i) q^{17} +(0.856857 - 0.515554i) q^{18} +(5.62069 + 1.89383i) q^{19} +(-2.91591 + 2.76209i) q^{20} +(-0.122877 - 0.749516i) q^{21} +(0.803279 - 0.0873618i) q^{22} +(-6.09993 - 3.67021i) q^{23} +(0.647386 + 0.762162i) q^{24} +(10.1028 + 4.67407i) q^{25} +(-0.0398717 + 0.0184466i) q^{26} +(-0.647386 + 0.762162i) q^{27} +(0.719763 - 0.242516i) q^{28} +(3.97100 - 7.49010i) q^{29} +(1.88133 - 3.54856i) q^{30} +(-3.23255 + 1.08917i) q^{31} +(-0.647386 + 0.762162i) q^{32} +(-0.733335 + 0.339277i) q^{33} +(4.15245 + 1.92113i) q^{34} +(-1.97489 - 2.32502i) q^{35} +(-0.856857 - 0.515554i) q^{36} +(6.37265 - 0.693068i) q^{37} +(-0.959556 - 5.85303i) q^{38} +(0.0318945 - 0.0302121i) q^{39} +(3.80618 + 1.28245i) q^{40} +(3.43549 - 2.06706i) q^{41} +(-0.604650 + 0.459643i) q^{42} +(-1.90101 - 4.77116i) q^{43} +(-0.453448 - 0.668785i) q^{44} +(-0.649786 + 3.96352i) q^{45} +(-0.385413 + 7.10852i) q^{46} +(-4.68291 + 1.03079i) q^{47} +(0.370138 - 0.928977i) q^{48} +(-1.71837 - 6.18900i) q^{49} +(-0.602657 - 11.1154i) q^{50} +(-4.54850 - 0.494680i) q^{51} +(0.0349740 + 0.0265866i) q^{52} +(-2.33867 + 8.42313i) q^{53} +(0.976621 + 0.214970i) q^{54} +(-1.82124 + 2.68613i) q^{55} +(-0.551409 - 0.522322i) q^{56} +(2.77821 + 5.24026i) q^{57} -8.47764 q^{58} +(-4.69358 - 6.08032i) q^{59} -4.01643 q^{60} +(-1.52570 - 2.87777i) q^{61} +(2.47645 + 2.34582i) q^{62} +(0.426233 - 0.628647i) q^{63} +(0.976621 + 0.214970i) q^{64} +(0.0472054 - 0.170018i) q^{65} +(0.643255 + 0.488990i) q^{66} +(7.12530 + 0.774923i) q^{67} +(-0.247703 - 4.56861i) q^{68} +(-1.90452 - 6.85947i) q^{69} +(-1.12913 + 2.83390i) q^{70} +(-15.3701 + 3.38321i) q^{71} +(-0.0541389 + 0.998533i) q^{72} +(-0.871827 + 5.31791i) q^{73} +(-3.59734 - 5.30568i) q^{74} +(4.12026 + 10.3411i) q^{75} +(-4.72176 + 3.58939i) q^{76} +(0.525857 - 0.316398i) q^{77} +(-0.0416324 - 0.0140276i) q^{78} +(-0.0990001 + 0.0937778i) q^{79} +(-0.649786 - 3.96352i) q^{80} +(-0.994138 + 0.108119i) q^{81} +(-3.43549 - 2.06706i) q^{82} +(-2.39648 - 2.82135i) q^{83} +(0.689323 + 0.318915i) q^{84} +(-16.6780 + 7.71607i) q^{85} +(-3.32493 + 3.91442i) q^{86} +(8.03386 - 2.70692i) q^{87} +(-0.378481 + 0.713891i) q^{88} +(-6.37807 + 12.0303i) q^{89} +(3.80618 - 1.28245i) q^{90} +(-0.0216016 + 0.0254313i) q^{91} +(6.46099 - 2.98917i) q^{92} +(-3.09584 - 1.43229i) q^{93} +(3.10423 + 3.65458i) q^{94} +(20.4121 + 12.2816i) q^{95} +(-0.994138 + 0.108119i) q^{96} +(-0.451929 - 2.75664i) q^{97} +(-4.66316 + 4.41718i) q^{98} +(-0.765718 - 0.258000i) 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 $\left(\mathbb{Z}/354\mathbb{Z}\right)^\times$.

$n$	$61$	$119$
$\chi(n)$	$e\left(\frac{10}{29}\right)$	$1$

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
$5$	3.92252	+	0.863413i	1.75421	+	0.386130i	0.971645	−	0.236444i	$-0.0759818\pi$
$5$	3.92252	+	0.863413i	1.75421	+	0.386130i	0.782561	+	0.622574i	$0.213913\pi$
$6$	0.267528	−	0.963550i	0.109218	−	0.393368i
$7$	−0.604650	−	0.459643i	−0.228536	−	0.173729i	0.484640	−	0.874714i	$-0.338951\pi$
$7$	−0.604650	−	0.459643i	−0.228536	−	0.173729i	−0.713176	+	0.700985i	$0.752744\pi$
$8$	0.994138	+	0.108119i	0.351481	+	0.0382258i
$9$	0.0541389	+	0.998533i	0.0180463	+	0.332844i
$10$	−1.07451	−	3.87003i	−0.339789	−	1.22381i
$11$	−0.299077	+	0.750627i	−0.0901752	+	0.226323i	−0.967146	−	0.254220i	$-0.918181\pi$
$11$	−0.299077	+	0.750627i	−0.0901752	+	0.226323i	0.876971	+	0.480543i	$0.159560\pi$
$12$	−0.976621	+	0.214970i	−0.281926	+	0.0620566i
$13$	0.00237843	−	0.0438676i	0.000659659	−	0.0121667i	−0.998185	−	0.0602213i	$-0.980819\pi$
$13$	0.00237843	−	0.0438676i	0.000659659	−	0.0121667i	0.998845	+	0.0480546i	$0.0153021\pi$
$14$	−0.122877	+	0.749516i	−0.0328402	+	0.200316i
$15$	2.25397	+	3.32435i	0.581972	+	0.858344i
$16$	−0.370138	−	0.928977i	−0.0925345	−	0.232244i
$17$	−3.64238	+	2.76887i	−0.883408	+	0.671549i	−0.945183	−	0.326541i	$-0.894117\pi$
$17$	−3.64238	+	2.76887i	−0.883408	+	0.671549i	0.0617752	+	0.998090i	$0.480324\pi$
$18$	0.856857	−	0.515554i	0.201963	−	0.121517i
$19$	5.62069	+	1.89383i	1.28947	+	0.434474i	0.878749	−	0.477285i	$-0.158379\pi$
$19$	5.62069	+	1.89383i	1.28947	+	0.434474i	0.410725	+	0.911759i	$0.365276\pi$
$20$	−2.91591	+	2.76209i	−0.652017	+	0.617623i
$21$	−0.122877	−	0.749516i	−0.0268139	−	0.163558i
$22$	0.803279	−	0.0873618i	0.171260	−	0.0186256i
$23$	−6.09993	−	3.67021i	−1.27192	−	0.765291i	−0.290450	−	0.956890i	$-0.593805\pi$
$23$	−6.09993	−	3.67021i	−1.27192	−	0.765291i	−0.981473	+	0.191599i	$0.938633\pi$
$24$	0.647386	+	0.762162i	0.132147	+	0.155576i
$25$	10.1028	+	4.67407i	2.02057	+	0.934815i
$26$	−0.0398717	+	0.0184466i	−0.00781948	+	0.00361768i
$27$	−0.647386	+	0.762162i	−0.124590	+	0.146678i
$28$	0.719763	−	0.242516i	0.136022	−	0.0458313i
$29$	3.97100	−	7.49010i	0.737396	−	1.39088i	−0.176242	−	0.984347i	$-0.556394\pi$
$29$	3.97100	−	7.49010i	0.737396	−	1.39088i	0.913638	−	0.406529i	$-0.133261\pi$
$30$	1.88133	−	3.54856i	0.343482	−	0.647876i
$31$	−3.23255	+	1.08917i	−0.580584	+	0.195621i	−0.594243	−	0.804285i	$-0.702548\pi$
$31$	−3.23255	+	1.08917i	−0.580584	+	0.195621i	0.0136596	+	0.999907i	$0.495652\pi$
$32$	−0.647386	+	0.762162i	−0.114443	+	0.134732i
$33$	−0.733335	+	0.339277i	−0.127657	+	0.0590605i
$34$	4.15245	+	1.92113i	0.712140	+	0.329471i
$35$	−1.97489	−	2.32502i	−0.333818	−	0.393000i
$36$	−0.856857	−	0.515554i	−0.142810	−	0.0859256i
$37$	6.37265	−	0.693068i	1.04766	−	0.113940i	0.431937	−	0.901904i	$-0.357830\pi$
$37$	6.37265	−	0.693068i	1.04766	−	0.113940i	0.615721	+	0.787964i	$0.288865\pi$
$38$	−0.959556	−	5.85303i	−0.155660	−	0.949487i
$39$	0.0318945	−	0.0302121i	0.00510720	−	0.00483780i
$40$	3.80618	+	1.28245i	0.601810	+	0.202773i
$41$	3.43549	−	2.06706i	0.536533	−	0.322821i	−0.221369	−	0.975190i	$-0.571052\pi$
$41$	3.43549	−	2.06706i	0.536533	−	0.322821i	0.757901	+	0.652369i	$0.226225\pi$
$42$	−0.604650	+	0.459643i	−0.0932994	+	0.0709244i
$43$	−1.90101	−	4.77116i	−0.289901	−	0.727596i	−0.999730	−	0.0232224i	$-0.992607\pi$
$43$	−1.90101	−	4.77116i	−0.289901	−	0.727596i	0.709830	−	0.704373i	$-0.248772\pi$
$44$	−0.453448	−	0.668785i	−0.0683598	−	0.100823i
$45$	−0.649786	+	3.96352i	−0.0968643	+	0.590846i
$46$	−0.385413	+	7.10852i	−0.0568260	+	1.04809i
$47$	−4.68291	+	1.03079i	−0.683073	+	0.150356i	−0.542933	−	0.839776i	$-0.682686\pi$
$47$	−4.68291	+	1.03079i	−0.683073	+	0.150356i	−0.140140	+	0.990132i	$0.544755\pi$
$48$	0.370138	−	0.928977i	0.0534248	−	0.134086i
$49$	−1.71837	−	6.18900i	−0.245481	−	0.884144i
$50$	−0.602657	−	11.1154i	−0.0852286	−	1.57195i
$51$	−4.54850	−	0.494680i	−0.636918	−	0.0692690i
$52$	0.0349740	+	0.0265866i	0.00485002	+	0.00368689i
$53$	−2.33867	+	8.42313i	−0.321241	+	1.15701i	0.609940	+	0.792448i	$0.291194\pi$
$53$	−2.33867	+	8.42313i	−0.321241	+	1.15701i	−0.931181	+	0.364558i	$0.881220\pi$
$54$	0.976621	+	0.214970i	0.132901	+	0.0292538i
$55$	−1.82124	+	2.68613i	−0.245576	+	0.362197i
$56$	−0.551409	−	0.522322i	−0.0736851	−	0.0697982i
$57$	2.77821	+	5.24026i	0.367983	+	0.694089i
$58$	−8.47764			−1.11317
$59$	−4.69358	−	6.08032i	−0.611051	−	0.791591i
$59$	−4.69358	−	6.08032i	−0.611051	−	0.791591i
$60$	−4.01643			−0.518518
$61$	−1.52570	−	2.87777i	−0.195346	−	0.368461i	0.766418	−	0.642343i	$-0.222037\pi$
$61$	−1.52570	−	2.87777i	−0.195346	−	0.368461i	−0.961764	+	0.273881i	$0.911692\pi$
$62$	2.47645	+	2.34582i	0.314510	+	0.297920i
$63$	0.426233	−	0.628647i	0.0537004	−	0.0792021i
$64$	0.976621	+	0.214970i	0.122078	+	0.0268713i
$65$	0.0472054	−	0.170018i	0.00585510	−	0.0210882i
$66$	0.643255	+	0.488990i	0.0791792	+	0.0601905i
$67$	7.12530	+	0.774923i	0.870494	+	0.0946720i	0.532453	−	0.846459i	$-0.321270\pi$
$67$	7.12530	+	0.774923i	0.870494	+	0.0946720i	0.338041	+	0.941131i	$0.390236\pi$
$68$	−0.247703	−	4.56861i	−0.0300384	−	0.554026i
$69$	−1.90452	−	6.85947i	−0.229278	−	0.825783i
$70$	−1.12913	+	2.83390i	−0.134957	+	0.338716i
$71$	−15.3701	+	3.38321i	−1.82409	+	0.401513i	−0.988916	−	0.148473i	$-0.952564\pi$
$71$	−15.3701	+	3.38321i	−1.82409	+	0.401513i	−0.835174	+	0.549986i	$0.814633\pi$
$72$	−0.0541389	+	0.998533i	−0.00638033	+	0.117678i
$73$	−0.871827	+	5.31791i	−0.102040	+	0.622414i	0.885450	+	0.464734i	$0.153850\pi$
$73$	−0.871827	+	5.31791i	−0.102040	+	0.622414i	−0.987490	+	0.157681i	$0.949598\pi$
$74$	−3.59734	−	5.30568i	−0.418182	−	0.616773i
$75$	4.12026	+	10.3411i	0.475767	+	1.19408i
$76$	−4.72176	+	3.58939i	−0.541623	+	0.411731i
$77$	0.525857	−	0.316398i	0.0599270	−	0.0360569i
$78$	−0.0416324	−	0.0140276i	−0.00471394	−	0.00158831i
$79$	−0.0990001	+	0.0937778i	−0.0111384	+	0.0105508i	−0.693248	−	0.720699i	$-0.743821\pi$
$79$	−0.0990001	+	0.0937778i	−0.0111384	+	0.0105508i	0.682110	+	0.731250i	$0.261063\pi$
$80$	−0.649786	−	3.96352i	−0.0726482	−	0.443135i
$81$	−0.994138	+	0.108119i	−0.110460	+	0.0120132i
$82$	−3.43549	−	2.06706i	−0.379386	−	0.228269i
$83$	−2.39648	−	2.82135i	−0.263048	−	0.309684i	0.614743	−	0.788727i	$-0.289260\pi$
$83$	−2.39648	−	2.82135i	−0.263048	−	0.309684i	−0.877791	+	0.479043i	$0.840984\pi$
$84$	0.689323	+	0.318915i	0.0752113	+	0.0347964i
$85$	−16.6780	+	7.71607i	−1.80899	+	0.836926i
$86$	−3.32493	+	3.91442i	−0.358537	+	0.422102i
$87$	8.03386	−	2.70692i	0.861320	−	0.290213i
$88$	−0.378481	+	0.713891i	−0.0403462	+	0.0761010i
$89$	−6.37807	+	12.0303i	−0.676074	+	1.27521i	0.273561	+	0.961855i	$0.411798\pi$
$89$	−6.37807	+	12.0303i	−0.676074	+	1.27521i	−0.949635	+	0.313357i	$0.898546\pi$
$90$	3.80618	−	1.28245i	0.401207	−	0.135182i
$91$	−0.0216016	+	0.0254313i	−0.00226446	+	0.00266593i
$92$	6.46099	−	2.98917i	0.673605	−	0.311643i
$93$	−3.09584	−	1.43229i	−0.321024	−	0.148522i
$94$	3.10423	+	3.65458i	0.320177	+	0.376941i
$95$	20.4121	+	12.2816i	2.09424	+	1.26006i
$96$	−0.994138	+	0.108119i	−0.101464	+	0.0110349i
$97$	−0.451929	−	2.75664i	−0.0458864	−	0.279895i	0.953910	−	0.300094i	$-0.0970181\pi$
$97$	−0.451929	−	2.75664i	−0.0458864	−	0.279895i	−0.999796	+	0.0201995i	$0.993570\pi$
$98$	−4.66316	+	4.41718i	−0.471050	+	0.446203i
$99$	−0.765718	−	0.258000i	−0.0769576	−	0.0259300i
$100$	−9.53826	+	5.73898i	−0.953826	+	0.573898i
$101$	2.97909	−	2.26464i	0.296430	−	0.225340i	−0.446378	−	0.894844i	$-0.647286\pi$
$101$	2.97909	−	2.26464i	0.296430	−	0.225340i	0.742808	+	0.669504i	$0.233493\pi$
$102$	1.69350	+	4.25037i	0.167682	+	0.420849i
$103$	−4.74894	−	7.00416i	−0.467927	−	0.690141i	0.518363	−	0.855161i	$-0.326542\pi$
$103$	−4.74894	−	7.00416i	−0.467927	−	0.690141i	−0.986290	+	0.165020i	$0.947231\pi$
$104$	0.00710742	−	0.0433533i	0.000696940	−	0.00425114i
$105$	0.165154	−	3.04609i	0.0161174	−	0.297268i
$106$	8.53739	−	1.87922i	0.829224	−	0.182526i
$107$	0.0559480	−	0.140419i	0.00540870	−	0.0135748i	−0.926248	−	0.376916i	$-0.876985\pi$
$107$	0.0559480	−	0.140419i	0.00540870	−	0.0135748i	0.931656	+	0.363341i	$0.118364\pi$
$108$	−0.267528	−	0.963550i	−0.0257429	−	0.0927176i
$109$	−0.271468	−	5.00693i	−0.0260019	−	0.479577i	−0.982315	−	0.187234i	$-0.940048\pi$
$109$	−0.271468	−	5.00693i	−0.0260019	−	0.479577i	0.956314	−	0.292343i	$-0.0944349\pi$
$110$	3.22631	+	0.350882i	0.307617	+	0.0334553i
$111$	5.10314	+	3.87931i	0.484369	+	0.368207i
$112$	−0.203193	+	0.731837i	−0.0192000	+	0.0691521i
$113$	−14.0174	−	3.08546i	−1.31864	−	0.290255i	−0.500733	−	0.865602i	$-0.666936\pi$
$113$	−14.0174	−	3.08546i	−1.31864	−	0.290255i	−0.817910	+	0.575346i	$0.804867\pi$
$114$	3.32849	−	4.90916i	0.311742	−	0.459785i
$115$	−20.7582	−	19.6632i	−1.93571	−	1.83361i
$116$	3.97100	+	7.49010i	0.368698	+	0.695438i
$117$	0.0439321			0.00406152
$118$	−3.17353	+	6.99491i	−0.292147	+	0.643933i
$119$	3.47506			0.318558
$120$	1.88133	+	3.54856i	0.171741	+	0.323938i
$121$	7.51196	+	7.11570i	0.682905	+	0.646882i
$122$	−1.82790	+	2.69595i	−0.165490	+	0.244080i
$123$	3.91567	+	0.861903i	0.353064	+	0.0777152i
$124$	0.912570	−	3.28678i	0.0819512	−	0.295162i
$125$	19.6058	+	14.9039i	1.75359	+	1.33305i
$126$	−0.755069	−	0.0821187i	−0.0672669	−	0.00731571i
$127$	−0.00399882	−	0.0737540i	−0.000354838	−	0.00654460i	0.998351	−	0.0574109i	$-0.0182845\pi$
$127$	−0.00399882	−	0.0737540i	−0.000354838	−	0.00654460i	−0.998705	+	0.0508663i	$0.983802\pi$
$128$	−0.267528	−	0.963550i	−0.0236464	−	0.0851666i
$129$	1.90101	−	4.77116i	0.167374	−	0.420078i
$130$	−0.172325	+	0.0379315i	−0.0151139	+	0.00332681i
$131$	0.815750	−	15.0456i	0.0712724	−	1.31454i	−0.716071	−	0.698027i	$-0.754061\pi$
$131$	0.815750	−	15.0456i	0.0712724	−	1.31454i	0.787344	−	0.616514i	$-0.211456\pi$
$132$	0.130722	−	0.797371i	0.0113779	−	0.0694022i
$133$	−2.52806	−	3.72861i	−0.219211	−	0.323312i
$134$	−2.65290	−	6.65827i	−0.229175	−	0.575187i
$135$	−3.19745	+	2.43064i	−0.275193	+	0.209196i
$136$	−3.92040	+	2.35883i	−0.336171	+	0.202268i
$137$	−11.9370	−	4.02206i	−1.01985	−	0.343628i	−0.240790	−	0.970577i	$-0.577407\pi$
$137$	−11.9370	−	4.02206i	−1.01985	−	0.343628i	−0.779060	+	0.626950i	$0.784303\pi$
$138$	−5.16833	+	4.89570i	−0.439958	+	0.416750i
$139$	−2.01626	−	12.2987i	−0.171017	−	1.04316i	−0.923233	−	0.384242i	$-0.874463\pi$
$139$	−2.01626	−	12.2987i	−0.171017	−	1.04316i	0.752215	−	0.658917i	$-0.228985\pi$
$140$	3.03268	−	0.329824i	0.256308	−	0.0278752i
$141$	−4.10864	−	2.47209i	−0.346010	−	0.208187i
$142$	10.1886	+	11.9949i	0.855006	+	1.00659i
$143$	0.0322169	+	0.0149051i	0.00269411	+	0.00124643i
$144$	0.907575	−	0.419889i	0.0756313	−	0.0349908i
$145$	22.0434	−	25.9515i	1.83060	−	2.15515i
$146$	5.10681	−	1.72068i	0.422643	−	0.142405i
$147$	3.00865	−	5.67491i	0.248149	−	0.468059i
$148$	−3.00261	+	5.66352i	−0.246813	+	0.465538i
$149$	7.09844	−	2.39174i	0.581527	−	0.195939i	−0.0131371	−	0.999914i	$-0.504182\pi$
$149$	7.09844	−	2.39174i	0.581527	−	0.195939i	0.594664	+	0.803975i	$0.297285\pi$
$150$	7.20650	−	8.48415i	0.588408	−	0.692728i
$151$	−11.1644	+	5.16520i	−0.908545	+	0.420338i	−0.817778	−	0.575534i	$-0.804794\pi$
$151$	−11.1644	+	5.16520i	−0.908545	+	0.420338i	−0.0907675	+	0.995872i	$0.528932\pi$
$152$	5.38298	+	2.49043i	0.436617	+	0.202001i
$153$	−2.96200	−	3.48714i	−0.239464	−	0.281918i
$154$	−0.525857	−	0.316398i	−0.0423748	−	0.0254961i
$155$	−13.6202	+	1.48128i	−1.09400	+	0.118980i
$156$	0.00710742	+	0.0433533i	0.000569049	+	0.00347104i
$157$	−14.3035	+	13.5490i	−1.14154	+	1.08132i	−0.145782	+	0.989317i	$0.546570\pi$
$157$	−14.3035	+	13.5490i	−1.14154	+	1.08132i	−0.995758	+	0.0920082i	$0.970671\pi$
$158$	0.129226	+	0.0435414i	0.0102807	+	0.00346397i
$159$	−7.49044	+	4.50685i	−0.594031	+	0.357417i
$160$	−3.19745	+	2.43064i	−0.252781	+	0.192159i
$161$	2.00134	+	5.02298i	0.157727	+	0.395866i
$162$	0.561187	+	0.827689i	0.0440910	+	0.0650294i
$163$	−1.98082	+	12.0825i	−0.155150	+	0.946371i	0.788405	+	0.615156i	$0.210907\pi$
$163$	−1.98082	+	12.0825i	−0.155150	+	0.946371i	−0.943555	+	0.331215i	$0.892541\pi$
$164$	−0.217065	+	4.00352i	−0.0169499	+	0.312623i
$165$	−3.16946	+	0.697651i	−0.246742	+	0.0543120i
$166$	−1.37017	+	3.43887i	−0.106346	+	0.266908i
$167$	−1.59374	−	5.74015i	−0.123328	−	0.444186i	0.875941	−	0.482418i	$-0.160241\pi$
$167$	−1.59374	−	5.74015i	−0.123328	−	0.444186i	−0.999269	+	0.0382317i	$0.987828\pi$
$168$	−0.0411196	−	0.758407i	−0.00317245	−	0.0585124i
$169$	12.9219	+	1.40534i	0.993990	+	0.108103i
$170$	14.6294	+	11.1210i	1.12202	+	0.852938i
$171$	−1.58675	+	5.71497i	−0.121342	+	0.437035i
$172$	5.01586	+	1.10407i	0.382456	+	0.0841849i
$173$	10.0434	−	14.8129i	0.763584	−	1.12620i	−0.224826	−	0.974399i	$-0.572182\pi$
$173$	10.0434	−	14.8129i	0.763584	−	1.12620i	0.988411	−	0.151804i	$-0.0485081\pi$
$174$	−6.15473	−	5.83007i	−0.466589	−	0.441976i
$175$	−3.96028	−	7.46987i	−0.299369	−	0.564669i
$176$	0.808015			0.0609064
$177$	0.773921	−	7.64206i	0.0581715	−	0.574412i
$178$	13.6165			1.02060
$179$	9.97224	+	18.8096i	0.745360	+	1.40590i	0.907896	+	0.419195i	$0.137688\pi$
$179$	9.97224	+	18.8096i	0.745360	+	1.40590i	−0.162536	+	0.986703i	$0.551967\pi$
$180$	−2.91591	−	2.76209i	−0.217339	−	0.205874i
$181$	9.88792	−	14.5836i	0.734963	−	1.08399i	−0.258067	−	0.966127i	$-0.583085\pi$
$181$	9.88792	−	14.5836i	0.734963	−	1.08399i	0.993030	−	0.117863i	$-0.0376042\pi$
$182$	0.0325872	+	0.00717299i	0.00241553	+	0.000531697i
$183$	0.871393	−	3.13847i	0.0644152	−	0.232003i
$184$	−5.66735	−	4.30821i	−0.417803	−	0.317605i
$185$	25.5953	+	2.78366i	1.88180	+	0.204659i
$186$	0.184674	+	3.40611i	0.0135410	+	0.249748i
$187$	−0.989034	−	3.56218i	−0.0723253	−	0.260492i
$188$	1.77482	−	4.45446i	0.129442	−	0.324875i
$189$	0.741764	−	0.163275i	0.0539554	−	0.0118765i
$190$	1.28970	−	23.7872i	0.0935648	−	1.72570i
$191$	0.723664	−	4.41416i	0.0523625	−	0.319397i	−0.947638	−	0.319348i	$-0.896536\pi$
$191$	0.723664	−	4.41416i	0.0523625	−	0.319397i	1.00000		4.90507e-5i	$-1.56133e-5\pi$
$192$	0.561187	+	0.827689i	0.0405002	+	0.0597333i
$193$	8.90683	+	22.3545i	0.641128	+	1.60911i	0.784988	+	0.619511i	$0.212669\pi$
$193$	8.90683	+	22.3545i	0.641128	+	1.60911i	−0.143860	+	0.989598i	$0.545951\pi$
$194$	−2.22384	+	1.69052i	−0.159662	+	0.121372i
$195$	0.151192	−	0.0909694i	0.0108271	−	0.00651446i
$196$	6.08690	+	2.05091i	0.434778	+	0.146494i
$197$	14.5982	−	13.8281i	1.04008	−	0.985212i	0.0401733	−	0.999193i	$-0.487209\pi$
$197$	14.5982	−	13.8281i	1.04008	−	0.985212i	0.999902	+	0.0139809i	$0.00445039\pi$
$198$	0.130722	+	0.797371i	0.00929003	+	0.0566667i
$199$	13.3196	−	1.44859i	0.944200	−	0.102688i	0.376950	−	0.926234i	$-0.376973\pi$
$199$	13.3196	−	1.44859i	0.944200	−	0.102688i	0.567250	+	0.823546i	$0.308007\pi$
$200$	9.53826	+	5.73898i	0.674457	+	0.405807i
$201$	4.64002	+	5.46266i	0.327282	+	0.385306i
$202$	−3.39627	−	1.57128i	−0.238960	−	0.110555i
$203$	−5.84383	+	2.70364i	−0.410156	+	0.189759i
$204$	2.96200	−	3.48714i	0.207382	−	0.244149i
$205$	15.2605	−	5.14187i	1.06584	−	0.359123i
$206$	−3.96382	+	7.47656i	−0.276172	+	0.520916i
$207$	3.33458	−	6.28968i	0.231769	−	0.437163i
$208$	−0.0416324	+	0.0140276i	−0.00288669	+	0.000972637i
$209$	−3.10258	+	3.65264i	−0.214610	+	0.252658i
$210$	−2.76861	+	1.28090i	−0.191053	+	0.0883903i
$211$	22.3294	+	10.3307i	1.53722	+	0.711195i	0.991899	−	0.127031i	$-0.0405446\pi$
$211$	22.3294	+	10.3307i	1.53722	+	0.711195i	0.545324	+	0.838225i	$0.316407\pi$
$212$	−5.65930	−	6.66264i	−0.388682	−	0.457592i
$213$	−13.4852	−	8.11379i	−0.923992	−	0.555948i
$214$	−0.150268	+	0.0163427i	−0.0102721	+	0.00111716i
$215$	−3.33726	−	20.3564i	−0.227599	−	1.38829i
$216$	−0.725995	+	0.687699i	−0.0493977	+	0.0467920i
$217$	2.45519	+	0.827251i	0.166669	+	0.0561574i
$218$	−4.29652	+	2.58513i	−0.290997	+	0.175087i
$219$	−4.29007	+	3.26122i	−0.289896	+	0.220373i
$220$	−1.20122	−	3.01484i	−0.0809864	−	0.203260i
$221$	0.112801	+	0.166368i	0.00758779	+	0.0111911i
$222$	1.03706	−	6.32579i	0.0696029	−	0.424559i
$223$	0.222321	−	4.10046i	0.0148877	−	0.274587i	−0.981606	−	0.190918i	$-0.938853\pi$
$223$	0.222321	−	4.10046i	0.0148877	−	0.274587i	0.996494	−	0.0836690i	$-0.0266638\pi$
$224$	0.741764	−	0.163275i	0.0495612	−	0.0109092i
$225$	−4.12026	+	10.3411i	−0.274684	+	0.689405i
$226$	3.83982	+	13.8298i	0.255421	+	0.919942i
$227$	1.24291	+	22.9240i	0.0824945	+	1.52152i	0.688017	+	0.725694i	$0.258481\pi$
$227$	1.24291	+	22.9240i	0.0824945	+	1.52152i	−0.605523	+	0.795828i	$0.707036\pi$
$228$	−5.89640	−	0.641272i	−0.390498	−	0.0424693i
$229$	4.40785	+	3.35076i	0.291279	+	0.221425i	0.740601	−	0.671945i	$-0.234541\pi$
$229$	4.40785	+	3.35076i	0.291279	+	0.221425i	−0.449321	+	0.893370i	$0.648334\pi$
$230$	−7.64938	+	27.5506i	−0.504385	+	1.81663i
$231$	0.599356	+	0.131928i	0.0394348	+	0.00868025i
$232$	4.75754	−	7.01685i	0.312348	−	0.460679i
$233$	−19.5291	−	18.4990i	−1.27939	−	1.21191i	−0.964891	−	0.262651i	$-0.915403\pi$
$233$	−19.5291	−	18.4990i	−1.27939	−	1.21191i	−0.314503	−	0.949256i	$-0.601838\pi$
$234$	−0.0205782	−	0.0388145i	−0.00134524	−	0.00253738i
$235$	−19.2588			−1.25631
$236$	7.66659	−	0.472621i	0.499053	−	0.0307650i
$237$	−0.136365			−0.00885783
$238$	−1.62775	−	3.07025i	−0.105511	−	0.199015i
$239$	18.7567	+	17.7673i	1.21327	+	1.14927i	0.984424	+	0.175810i	$0.0562545\pi$
$239$	18.7567	+	17.7673i	1.21327	+	1.14927i	0.228848	+	0.973462i	$0.426504\pi$
$240$	2.25397	−	3.32435i	0.145493	−	0.214586i
$241$	−13.1798	−	2.90109i	−0.848985	−	0.186876i	−0.230891	−	0.972980i	$-0.574164\pi$
$241$	−13.1798	−	2.90109i	−0.848985	−	0.186876i	−0.618094	+	0.786104i	$0.712095\pi$
$242$	2.76815	−	9.96996i	0.177943	−	0.640893i
$243$	−0.796093	−	0.605174i	−0.0510694	−	0.0388219i
$244$	3.23811	+	0.352165i	0.207298	+	0.0225451i
$245$	−1.39668	−	25.7602i	−0.0892304	−	1.64576i
$246$	−1.07263	−	3.86326i	−0.0683883	−	0.246313i
$247$	0.0964463	−	0.242062i	0.00613673	−	0.0154020i
$248$	−3.33136	+	0.733289i	−0.211542	+	0.0465639i
$249$	0.200410	−	3.69635i	0.0127005	−	0.234247i
$250$	3.98428	−	24.3030i	0.251988	−	1.53706i
$251$	7.45053	+	10.9887i	0.470274	+	0.693602i	0.986667	−	0.162750i	$-0.0520363\pi$
$251$	7.45053	+	10.9887i	0.470274	+	0.693602i	−0.516394	+	0.856351i	$0.672726\pi$
$252$	0.281128	+	0.705577i	0.0177094	+	0.0444472i
$253$	4.57931	−	3.48110i	0.287899	−	0.218855i
$254$	−0.0632894	+	0.0380800i	−0.00397113	+	0.00238935i
$255$	−17.4145	−	5.86763i	−1.09054	−	0.367445i
$256$	−0.725995	+	0.687699i	−0.0453747	+	0.0429812i
$257$	4.85359	+	29.6056i	0.302758	+	1.84674i	0.499531	+	0.866296i	$0.333506\pi$
$257$	4.85359	+	29.6056i	0.302758	+	1.84674i	−0.196773	+	0.980449i	$0.563046\pi$
$258$	−5.10583	+	0.555292i	−0.317875	+	0.0345710i
$259$	−4.17179	−	2.51008i	−0.259222	−	0.155969i
$260$	0.114231	+	0.134483i	0.00708432	+	0.00834031i
$261$	7.69410	+	3.55967i	0.476253	+	0.220338i
$262$	−13.6751	+	6.32677i	−0.844850	+	0.390869i
$263$	−8.09092	+	9.52537i	−0.498907	+	0.587359i	−0.952763	−	0.303716i	$-0.901773\pi$
$263$	−8.09092	+	9.52537i	−0.498907	+	0.587359i	0.453855	+	0.891076i	$0.350048\pi$
$264$	−0.765718	+	0.258000i	−0.0471267	+	0.0158788i
$265$	−16.4461	+	31.0207i	−1.01028	+	1.90559i
$266$	−2.11011	+	3.98008i	−0.129379	+	0.244035i
$267$	−12.9037	+	4.34776i	−0.789693	+	0.266079i
$268$	−4.64002	+	5.46266i	−0.283435	+	0.333685i
$269$	−12.2695	+	5.67650i	−0.748087	+	0.346102i	−0.756614	−	0.653862i	$-0.773148\pi$
$269$	−12.2695	+	5.67650i	−0.748087	+	0.346102i	0.00852677	+	0.999964i	$0.497286\pi$
$270$	3.64521	+	1.68645i	0.221840	+	0.102634i
$271$	−7.64751	−	9.00334i	−0.464553	−	0.546914i	0.479139	−	0.877739i	$-0.340949\pi$
$271$	−7.64751	−	9.00334i	−0.464553	−	0.546914i	−0.943692	+	0.330825i	$0.892673\pi$
$272$	3.92040	+	2.35883i	0.237709	+	0.143025i
$273$	−0.0331717	+	0.00360764i	−0.00200764	+	0.000218345i
$274$	2.03787	+	12.4305i	0.123113	+	0.750953i
$275$	−6.53002	+	6.18556i	−0.393775	+	0.373003i
$276$	6.74630	+	2.27309i	0.406080	+	0.136824i
$277$	−15.1946	+	9.14228i	−0.912955	+	0.549307i	−0.892781	−	0.450490i	$-0.851249\pi$
$277$	−15.1946	+	9.14228i	−0.912955	+	0.549307i	−0.0201731	+	0.999797i	$0.506422\pi$
$278$	−9.92158	+	7.54219i	−0.595057	+	0.452350i
$279$	−1.26258	−	3.16885i	−0.0755889	−	0.189714i
$280$	−1.71194	−	2.52492i	−0.102308	−	0.150893i
$281$	−1.44002	+	8.78373i	−0.0859043	+	0.523993i	0.908460	+	0.417973i	$0.137259\pi$
$281$	−1.44002	+	8.78373i	−0.0859043	+	0.523993i	−0.994364	+	0.106021i	$0.966189\pi$
$282$	−0.259597	+	4.78798i	−0.0154588	+	0.285120i
$283$	−15.8768	+	3.49474i	−0.943775	+	0.207741i	−0.660098	−	0.751179i	$-0.729485\pi$
$283$	−15.8768	+	3.49474i	−0.943775	+	0.207741i	−0.283677	+	0.958920i	$0.591554\pi$
$284$	5.82524	−	14.6202i	0.345664	−	0.867552i
$285$	6.37308	+	22.9538i	0.377509	+	1.35966i
$286$	−0.00192181	−	0.0354457i	−0.000113639	−	0.00209595i
$287$	−3.02738	−	0.329247i	−0.178700	−	0.0194348i
$288$	−0.796093	−	0.605174i	−0.0469102	−	0.0356602i
$289$	1.05235	−	3.79021i	0.0619028	−	0.222954i
$290$	−33.2538	−	7.31970i	−1.95273	−	0.429828i
$291$	1.56764	−	2.31210i	0.0918969	−	0.135538i
$292$	−3.91232	−	3.70595i	−0.228951	−	0.216874i
$293$	−5.54476	−	10.4585i	−0.323928	−	0.610994i	0.667050	−	0.745013i	$-0.267557\pi$
$293$	−5.54476	−	10.4585i	−0.323928	−	0.610994i	−0.990979	+	0.134019i	$0.957212\pi$
$294$	−6.42313			−0.374604
$295$	−13.1608	−	27.9027i	−0.766253	−	1.62456i
$296$	6.41023			0.372587
$297$	−0.378481	−	0.713891i	−0.0219617	−	0.0414242i
$298$	−5.43810	−	5.15124i	−0.315021	−	0.298403i
$299$	−0.175512	+	0.258860i	−0.0101501	+	0.0149703i
$300$	−10.8714	−	2.39298i	−0.627662	−	0.138159i
$301$	−1.04359	+	3.75867i	−0.0601514	+	0.216646i
$302$	9.79301	+	7.44445i	0.563524	+	0.428380i
$303$	3.72020	+	0.404596i	0.213720	+	0.0232434i
$304$	−0.321107	−	5.92247i	−0.0184167	−	0.339677i
$305$	−3.49989	−	12.6055i	−0.200403	−	0.721786i
$306$	−1.69350	+	4.25037i	−0.0968111	+	0.242977i
$307$	−7.64069	+	1.68184i	−0.436077	+	0.0959878i	−0.427583	−	0.903976i	$-0.640635\pi$
$307$	−7.64069	+	1.68184i	−0.436077	+	0.0959878i	−0.00849404	+	0.999964i	$0.502704\pi$
$308$	−0.0332253	+	0.612805i	−0.00189319	+	0.0349178i
$309$	1.36905	−	8.35083i	0.0778825	−	0.475062i
$310$	7.68854	+	11.3397i	0.436680	+	0.644054i
$311$	−9.28222	−	23.2966i	−0.526347	−	1.32103i	−0.916409	−	0.400242i	$-0.868926\pi$
$311$	−9.28222	−	23.2966i	−0.526347	−	1.32103i	0.390063	−	0.920788i	$-0.372453\pi$
$312$	0.0349740	−	0.0265866i	0.00198001	−	0.00150517i
$313$	11.7553	−	7.07291i	0.664447	−	0.399784i	−0.143002	−	0.989722i	$-0.545675\pi$
$313$	11.7553	−	7.07291i	0.664447	−	0.399784i	0.807449	+	0.589938i	$0.200848\pi$
$314$	18.6705	+	6.29084i	1.05364	+	0.355012i
$315$	2.21469	−	2.09787i	0.124784	−	0.118202i
$316$	−0.0220613	−	0.134568i	−0.00124105	−	0.00757005i
$317$	16.3561	−	1.77884i	0.918652	−	0.0999094i	0.363439	−	0.931618i	$-0.381602\pi$
$317$	16.3561	−	1.77884i	0.918652	−	0.0999094i	0.555212	+	0.831709i	$0.312637\pi$
$318$	7.49044	+	4.50685i	0.420043	+	0.252732i
$319$	4.43464	+	5.22086i	0.248292	+	0.292312i
$320$	3.64521	+	1.68645i	0.203773	+	0.0942756i
$321$	0.137184	−	0.0634681i	0.00765686	−	0.00354244i
$322$	3.50042	−	4.12101i	0.195071	−	0.229655i
$323$	−25.7165	+	8.66489i	−1.43090	+	0.482127i
$324$	0.468408	−	0.883512i	0.0260227	−	0.0490840i
$325$	0.229069	−	0.432071i	0.0127065	−	0.0239670i
$326$	11.6028	−	3.90945i	0.642621	−	0.216524i
$327$	3.24618	−	3.82169i	0.179514	−	0.211340i
$328$	3.63884	−	1.68351i	0.200921	−	0.0929560i
$329$	3.30531	+	1.52920i	0.182228	+	0.0843076i
$330$	2.10098	+	2.47347i	0.115655	+	0.136160i
$331$	10.9261	+	6.57399i	0.600550	+	0.361339i	0.783136	−	0.621851i	$-0.213619\pi$
$331$	10.9261	+	6.57399i	0.600550	+	0.361339i	−0.182585	+	0.983190i	$0.558447\pi$
$332$	3.68008	−	0.400233i	0.201971	−	0.0219656i
$333$	1.03706	+	6.32579i	0.0568305	+	0.346651i
$334$	−4.32497	+	4.09683i	−0.236652	+	0.224168i
$335$	27.2801	+	9.19174i	1.49047	+	0.502198i
$336$	−0.650801	+	0.391574i	−0.0355041	+	0.0213621i
$337$	15.6428	−	11.8913i	0.852116	−	0.647762i	−0.0851532	−	0.996368i	$-0.527138\pi$
$337$	15.6428	−	11.8913i	0.852116	−	0.647762i	0.937269	+	0.348606i	$0.113345\pi$
$338$	−4.81108	−	12.0749i	−0.261688	−	0.656788i
$339$	−8.05468	−	11.8798i	−0.437470	−	0.645220i
$340$	2.97298	−	18.1344i	0.161232	−	0.983474i
$341$	0.149219	−	2.75219i	0.00808068	−	0.149039i
$342$	5.79250	−	1.27503i	0.313222	−	0.0689455i
$343$	−3.77361	+	9.47106i	−0.203756	+	0.511389i
$344$	−1.37401	−	4.94873i	−0.0740816	−	0.266818i
$345$	−1.54798	−	28.5508i	−0.0833405	−	1.53713i
$346$	−17.7918	−	1.93497i	−0.956491	−	0.104025i
$347$	18.2184	+	13.8493i	0.978015	+	0.743467i	0.966553	−	0.256467i	$-0.0825585\pi$
$347$	18.2184	+	13.8493i	0.978015	+	0.743467i	0.0114617	+	0.999934i	$0.496352\pi$
$348$	−2.26801	+	8.16863i	−0.121578	+	0.437884i
$349$	18.5501	+	4.08319i	0.992965	+	0.218568i	0.681602	−	0.731723i	$-0.261283\pi$
$349$	18.5501	+	4.08319i	0.992965	+	0.218568i	0.311363	+	0.950291i	$0.399214\pi$
$350$	−4.74470	+	6.99790i	−0.253615	+	0.374054i
$351$	0.0318945	+	0.0302121i	0.00170240	+	0.00161260i
$352$	−0.378481	−	0.713891i	−0.0201731	−	0.0380505i
$353$	5.54098			0.294917			0.147458	−	0.989068i	$-0.452891\pi$
$353$	5.54098			0.294917			0.147458	+	0.989068i	$0.452891\pi$
$354$	−7.11436	+	2.89584i	−0.378124	+	0.153912i
$355$	−63.2105			−3.35487
$356$	−6.37807	−	12.0303i	−0.338037	−	0.637606i
$357$	2.52287	+	2.38979i	0.133525	+	0.126481i
$358$	11.9475	−	17.6212i	0.631443	−	0.931308i
$359$	29.2347	+	6.43505i	1.54295	+	0.339629i	0.903290	−	0.429030i	$-0.141144\pi$
$359$	29.2347	+	6.43505i	1.54295	+	0.339629i	0.639659	+	0.768659i	$0.279075\pi$
$360$	−1.07451	+	3.87003i	−0.0566315	+	0.203968i
$361$	12.8798	+	9.79094i	0.677882	+	0.515313i
$362$	−17.5164	−	1.90502i	−0.920640	−	0.100126i
$363$	0.560181	+	10.3319i	0.0294019	+	0.542286i
$364$	−0.00892671	−	0.0321511i	−0.000467887	−	0.00168518i
$365$	−8.01132	+	20.1069i	−0.419332	+	1.05244i
$366$	−3.18105	+	0.700202i	−0.166276	+	0.0366001i
$367$	0.647325	−	11.9392i	0.0337901	−	0.623221i	−0.931771	−	0.363046i	$-0.881737\pi$
$367$	0.647325	−	11.9392i	0.0337901	−	0.623221i	0.965561	−	0.260175i	$-0.0837804\pi$
$368$	−1.15172	+	7.02518i	−0.0600375	+	0.366213i
$369$	2.25003	+	3.31854i	0.117132	+	0.172756i
$370$	−9.52966	−	23.9176i	−0.495423	−	1.24342i
$371$	5.28570	−	4.01809i	0.274420	−	0.208609i
$372$	2.92284	−	1.75861i	0.151542	−	0.0911799i
$373$	−5.47051	−	1.84323i	−0.283252	−	0.0954388i	0.174089	−	0.984730i	$-0.444302\pi$
$373$	−5.47051	−	1.84323i	−0.283252	−	0.0954388i	−0.457342	+	0.889291i	$0.651198\pi$
$374$	−2.68396	+	2.54238i	−0.138784	+	0.131463i
$375$	3.98428	+	24.3030i	0.205747	+	1.25500i
$376$	−4.76691	+	0.518433i	−0.245835	+	0.0267361i
$377$	−0.319128	−	0.192013i	−0.0164359	−	0.00988917i
$378$	−0.491704	−	0.578878i	−0.0252905	−	0.0297743i
$379$	0.733459	+	0.339334i	0.0376753	+	0.0174304i	0.438636	−	0.898665i	$-0.355462\pi$
$379$	0.733459	+	0.339334i	0.0376753	+	0.0174304i	−0.400961	+	0.916095i	$0.631324\pi$
$380$	−21.6203	+	10.0026i	−1.10910	+	0.513124i
$381$	0.0478174	−	0.0562950i	0.00244976	−	0.00288408i
$382$	−4.23893	+	1.42826i	−0.216883	+	0.0730762i
$383$	−0.948681	+	1.78940i	−0.0484754	+	0.0914342i	−0.906566	−	0.422064i	$-0.861306\pi$
$383$	−0.948681	+	1.78940i	−0.0484754	+	0.0914342i	0.858091	+	0.513498i	$0.171651\pi$
$384$	0.468408	−	0.883512i	0.0239034	−	0.0450865i
$385$	2.33587	−	0.787046i	0.119047	−	0.0401116i
$386$	15.5784	−	18.3403i	0.792920	−	0.933497i
$387$	4.66125	−	2.15652i	0.236945	−	0.109622i
$388$	2.53526	+	1.17294i	0.128708	+	0.0595468i
$389$	−7.20709	−	8.48485i	−0.365414	−	0.430199i	0.548472	−	0.836169i	$-0.315210\pi$
$389$	−7.20709	−	8.48485i	−0.365414	−	0.430199i	−0.913886	+	0.405970i	$0.866934\pi$
$390$	−0.151192	−	0.0909694i	−0.00765592	−	0.00460642i
$391$	32.3806	−	3.52160i	1.63756	−	0.178095i
$392$	−1.03915	−	6.33851i	−0.0524848	−	0.320143i
$393$	10.9391	−	10.3621i	0.551804	−	0.522697i
$394$	−19.0552	−	6.42044i	−0.959987	−	0.323457i
$395$	−0.469299	+	0.282368i	−0.0236130	+	0.0142075i
$396$	0.643255	−	0.488990i	0.0323248	−	0.0245727i
$397$	9.69354	+	24.3290i	0.486505	+	1.22104i	0.943442	+	0.331537i	$0.107567\pi$
$397$	9.69354	+	24.3290i	0.486505	+	1.22104i	−0.456937	+	0.889499i	$0.651054\pi$
$398$	−7.51885	−	11.0895i	−0.376886	−	0.555865i
$399$	0.728803	−	4.44550i	0.0364858	−	0.222553i
$400$	0.602657	−	11.1154i	0.0301329	−	0.555768i
$401$	−18.8040	+	4.13908i	−0.939028	+	0.206696i	−0.658012	−	0.753007i	$-0.728602\pi$
$401$	−18.8040	+	4.13908i	−0.939028	+	0.206696i	−0.281016	+	0.959703i	$0.590671\pi$
$402$	2.65290	−	6.65827i	0.132315	−	0.332084i
$403$	0.0400911	+	0.144395i	0.00199708	+	0.00719283i
$404$	0.202595	+	3.73664i	0.0100795	+	0.185905i
$405$	−3.99288	−	0.434252i	−0.198408	−	0.0215782i
$406$	5.12600	+	3.89668i	0.254399	+	0.193389i
$407$	−1.38568	+	4.99077i	−0.0686856	+	0.247383i
$408$	−4.46836	−	0.983559i	−0.221217	−	0.0486934i
$409$	3.56639	−	5.26003i	0.176347	−	0.260092i	−0.729235	−	0.684263i	$-0.760124\pi$
$409$	3.56639	−	5.26003i	0.176347	−	0.260092i	0.905582	+	0.424171i	$0.139434\pi$
$410$	−11.6911	−	11.0744i	−0.577380	−	0.546923i
$411$	−5.90027	−	11.1291i	−0.291039	−	0.548958i
$412$	8.46231			0.416908
$413$	0.0431918	+	5.83383i	0.00212533	+	0.287064i
$414$	−7.11896			−0.349878
$415$	−6.96426	−	13.1360i	−0.341862	−	0.644820i
$416$	0.0318945	+	0.0302121i	0.00156376	+	0.00148127i
$417$	6.99398	−	10.3154i	0.342497	−	0.505145i
$418$	4.68043	+	1.03024i	0.228927	+	0.0503907i
$419$	−9.11885	+	32.8431i	−0.445485	+	1.60449i	0.310952	+	0.950426i	$0.399352\pi$
$419$	−9.11885	+	32.8431i	−0.445485	+	1.60449i	−0.756437	+	0.654067i	$0.773061\pi$
$420$	2.42853	+	1.84612i	0.118500	+	0.0900815i
$421$	20.0095	+	2.17616i	0.975204	+	0.106060i	0.581823	−	0.813316i	$-0.302340\pi$
$421$	20.0095	+	2.17616i	0.975204	+	0.106060i	0.393381	+	0.919376i	$0.371305\pi$
$422$	−1.33200	−	24.5673i	−0.0648408	−	1.19592i
$423$	−1.28280	−	4.62024i	−0.0623720	−	0.224644i
$424$	−3.23566	+	8.12090i	−0.157138	+	0.394386i
$425$	−49.7403	+	10.9487i	−2.41276	+	0.531089i
$426$	−0.852038	+	15.7149i	−0.0412814	+	0.761391i
$427$	−0.400234	+	2.44132i	−0.0193687	+	0.118144i
$428$	0.0848259	+	0.125109i	0.00410021	+	0.00604736i
$429$	0.0131391	+	0.0329766i	0.000634361	+	0.00159213i
$430$	−16.4219	+	12.4836i	−0.791934	+	0.602013i
$431$	25.7315	−	15.4821i	1.23944	−	0.745749i	0.263687	−	0.964608i	$-0.415061\pi$
$431$	25.7315	−	15.4821i	1.23944	−	0.745749i	0.975756	+	0.218860i	$0.0702337\pi$
$432$	0.947653	+	0.319302i	0.0455940	+	0.0153624i
$433$	−23.9961	+	22.7303i	−1.15318	+	1.09235i	−0.158708	+	0.987326i	$0.550733\pi$
$433$	−23.9961	+	22.7303i	−1.15318	+	1.09235i	−0.994470	+	0.105023i	$0.966508\pi$
$434$	−0.419147	−	2.55668i	−0.0201197	−	0.122725i
$435$	33.8502	−	3.68143i	1.62299	−	0.176511i
$436$	4.29652	+	2.58513i	0.205766	+	0.123805i
$437$	−27.3350	−	32.1813i	−1.30761	−	1.53944i
$438$	4.89084	+	2.26274i	0.233693	+	0.108118i
$439$	23.7760	−	11.0000i	1.13477	−	0.525000i	0.239664	−	0.970856i	$-0.422963\pi$
$439$	23.7760	−	11.0000i	1.13477	−	0.525000i	0.895105	+	0.445856i	$0.147101\pi$
$440$	−2.10098	+	2.47347i	−0.100161	+	0.117918i
$441$	6.08690	−	2.05091i	0.289852	−	0.0976626i
$442$	0.0941517	−	0.177589i	0.00447834	−	0.00844705i
$443$	9.16055	−	17.2786i	0.435231	−	0.820933i	−0.564760	−	0.825255i	$-0.691031\pi$
$443$	9.16055	−	17.2786i	0.435231	−	0.820933i	0.999991	+	0.00432257i	$0.00137592\pi$
$444$	−6.07468	+	2.04680i	−0.288291	+	0.0971367i
$445$	−35.4053	+	41.6823i	−1.67837	+	1.97593i
$446$	−3.72695	+	1.72427i	−0.176476	+	0.0816465i
$447$	6.79823	+	3.14520i	0.321545	+	0.148763i
$448$	−0.491704	−	0.578878i	−0.0232308	−	0.0273494i
$449$	−22.9116	−	13.7854i	−1.08126	−	0.650576i	−0.140653	−	0.990059i	$-0.544920\pi$
$449$	−22.9116	−	13.7854i	−1.08126	−	0.650576i	−0.940612	+	0.339483i	$0.889748\pi$
$450$	11.0664	−	1.20355i	0.521677	−	0.0567357i
$451$	0.524119	+	3.19698i	0.0246798	+	0.150540i
$452$	10.4202	−	9.87050i	0.490123	−	0.464269i
$453$	−11.6574	−	3.92783i	−0.547712	−	0.184546i
$454$	19.6715	−	11.8359i	0.923228	−	0.555488i
$455$	−0.106690	+	0.0811039i	−0.00500172	+	0.00380221i
$456$	2.19535	+	5.50991i	0.102807	+	0.258025i
$457$	−0.413715	−	0.610184i	−0.0193528	−	0.0285432i	0.817890	−	0.575375i	$-0.195144\pi$
$457$	−0.413715	−	0.610184i	−0.0193528	−	0.0285432i	−0.837242	+	0.546832i	$0.815834\pi$
$458$	0.895764	−	5.46392i	0.0418563	−	0.255312i
$459$	0.247703	−	4.56861i	0.0115618	−	0.213245i
$460$	27.9243	−	6.14660i	1.30198	−	0.286587i
$461$	−7.06842	+	17.7404i	−0.329209	+	0.826253i	0.667456	+	0.744649i	$0.267383\pi$
$461$	−7.06842	+	17.7404i	−0.329209	+	0.826253i	−0.996665	+	0.0816032i	$0.973996\pi$
$462$	−0.164183	−	0.591335i	−0.00763850	−	0.0275114i
$463$	−0.492517	−	9.08394i	−0.0228892	−	0.422166i	−0.987412	−	0.158168i	$-0.949441\pi$
$463$	−0.492517	−	9.08394i	−0.0228892	−	0.422166i	0.964523	−	0.263999i	$-0.0850414\pi$
$464$	−8.42794	−	0.916594i	−0.391257	−	0.0425518i
$465$	−10.9069	−	8.29118i	−0.505794	−	0.384494i
$466$	−7.19645	+	25.9193i	−0.333369	+	1.20069i
$467$	16.9483	+	3.73061i	0.784276	+	0.172632i	0.589018	−	0.808120i	$-0.299515\pi$
$467$	16.9483	+	3.73061i	0.784276	+	0.172632i	0.195258	+	0.980752i	$0.437446\pi$
$468$	−0.0246541	+	0.0363621i	−0.00113964	+	0.00168084i
$469$	−3.95212	−	3.74365i	−0.182492	−	0.172866i
$470$	9.02100	+	17.0154i	0.416108	+	0.784862i
$471$	−19.7019			−0.907814
$472$	−4.00866	−	6.55215i	−0.184514	−	0.301587i
$473$	4.14991			0.190813
$474$	0.0638743	+	0.120480i	0.00293384	+	0.00553382i
$475$	47.9330	+	45.4046i	2.19932	+	2.08330i
$476$	−1.95016	+	2.87627i	−0.0893853	+	0.131833i
$477$	−8.53739	−	1.87922i	−0.390900	−	0.0860436i
$478$	6.91183	−	24.8942i	0.316140	−	1.13863i
$479$	1.47230	+	1.11921i	0.0672710	+	0.0511381i	0.638269	−	0.769813i	$-0.279651\pi$
$479$	1.47230	+	1.11921i	0.0672710	+	0.0511381i	−0.570998	+	0.820951i	$0.693444\pi$
$480$	−3.99288	−	0.434252i	−0.182249	−	0.0198208i
$481$	−0.0152463	−	0.281202i	−0.000695172	−	0.0128217i
$482$	3.61038	+	13.0034i	0.164448	+	0.592289i
$483$	−2.00134	+	5.02298i	−0.0910640	+	0.228553i
$484$	−10.1052	+	2.22432i	−0.459327	+	0.101106i
$485$	0.607420	−	11.2032i	0.0275815	−	0.508711i
$486$	−0.161782	+	0.986827i	−0.00733858	+	0.0447634i
$487$	6.01939	+	8.87793i	0.272764	+	0.402297i	0.939257	−	0.343214i	$-0.111516\pi$
$487$	6.01939	+	8.87793i	0.272764	+	0.402297i	−0.666493	+	0.745511i	$0.732205\pi$
$488$	−1.20561	−	3.02586i	−0.0545756	−	0.136974i
$489$	−9.74717	+	7.40960i	−0.440782	+	0.335074i
$490$	−22.1052	+	13.3003i	−0.998612	+	0.600845i
$491$	32.6554	+	11.0029i	1.47372	+	0.496553i	0.937638	−	0.347614i	$-0.113008\pi$
$491$	32.6554	+	11.0029i	1.47372	+	0.496553i	0.536080	+	0.844167i	$0.319905\pi$
$492$	−2.91081	+	2.75727i	−0.131229	+	0.124307i
$493$	6.27519	+	38.2770i	0.282620	+	1.72391i
$494$	−0.259041	+	0.0281724i	−0.0116548	+	0.00126754i
$495$	−2.78079	−	1.67314i	−0.124987	−	0.0752022i
$496$	2.20831	+	2.59982i	0.0991560	+	0.116735i
$497$	10.8486	+	5.01908i	0.486625	+	0.225137i
$498$	−3.35964	+	1.55434i	−0.150549	+	0.0696515i
$499$	−2.40286	+	2.82886i	−0.107567	+	0.126637i	−0.813311	−	0.581830i	$-0.802337\pi$
$499$	−2.40286	+	2.82886i	−0.107567	+	0.126637i	0.705744	+	0.708467i	$0.250613\pi$
$500$	−23.3383	+	7.86359i	−1.04372	+	0.351670i
$501$	2.79045	−	5.26334i	0.124668	−	0.235149i
$502$	6.21877	−	11.7298i	0.277557	−	0.523529i
$503$	21.7167	−	7.31721i	0.968299	−	0.326258i	0.209664	−	0.977773i	$-0.432763\pi$
$503$	21.7167	−	7.31721i	0.968299	−	0.326258i	0.758635	+	0.651515i	$0.225866\pi$
$504$	0.491704	−	0.578878i	0.0219022	−	0.0257853i
$505$	13.6409	−	6.31093i	0.607010	−	0.280833i
$506$	−5.22058	−	2.41530i	−0.232083	−	0.107373i
$507$	8.41477	+	9.90664i	0.373713	+	0.439969i
$508$	0.0632894	+	0.0380800i	0.00280801	+	0.00168953i
$509$	1.90139	−	0.206789i	0.0842778	−	0.00916577i	−0.0658829	−	0.997827i	$-0.520986\pi$
$509$	1.90139	−	0.206789i	0.0842778	−	0.00916577i	0.150161	+	0.988662i	$0.452021\pi$
$510$	2.97298	+	18.1344i	0.131646	+	0.803004i
$511$	2.97149	−	2.81474i	0.131451	−	0.124517i
$512$	0.947653	+	0.319302i	0.0418807	+	0.0141113i
$513$	−5.08216	+	3.05783i	−0.224383	+	0.135007i
$514$	23.8834	−	18.1557i	1.05345	−	0.800814i
$515$	−12.5804	−	31.5743i	−0.554357	−	1.39133i
$516$	2.88222	+	4.25096i	0.126883	+	0.187138i
$517$	0.626816	−	3.82341i	0.0275673	−	0.168153i
$518$	−0.263586	+	4.86157i	−0.0115813	+	0.213605i
$519$	17.4783	−	3.84726i	0.767210	−	0.168876i
$520$	0.0653109	−	0.163918i	0.00286407	−	0.00718827i
$521$	−6.61779	−	23.8351i	−0.289931	−	1.04424i	−0.954793	−	0.297270i	$-0.903924\pi$
$521$	−6.61779	−	23.8351i	−0.289931	−	1.04424i	0.664863	−	0.746965i	$-0.268490\pi$
$522$	−0.458970	−	8.46521i	−0.0200886	−	0.370512i
$523$	−35.1175	−	3.81926i	−1.53558	−	0.167004i	−0.699109	−	0.715015i	$-0.746420\pi$
$523$	−35.1175	−	3.81926i	−1.53558	−	0.167004i	−0.836472	+	0.548010i	$0.815385\pi$
$524$	11.9953	+	9.11859i	0.524017	+	0.398348i
$525$	2.26189	−	8.14657i	0.0987168	−	0.355546i
$526$	12.2056	+	2.68666i	0.532191	+	0.117144i
$527$	8.75842	−	12.9177i	0.381523	−	0.562704i
$528$	0.586615	+	0.555672i	0.0255292	+	0.0241825i
$529$	12.9653	+	24.4552i	0.563710	+	1.06327i
$530$	35.1107			1.52511
$531$	5.81730	−	5.01587i	0.252449	−	0.217670i
$532$	4.50484			0.195310
$533$	−0.0825061	−	0.155623i	−0.00357374	−	0.00674078i
$534$	9.88550	+	9.36404i	0.427787	+	0.405222i
$535$	0.340697	−	0.502490i	0.0147296	−	0.0217246i
$536$	6.99975	+	1.54076i	0.302343	+	0.0665508i
$537$	−5.69558	+	20.5136i	−0.245782	+	0.885228i
$538$	10.7624	+	8.18137i	0.464001	+	0.352724i
$539$	5.15956	+	0.561136i	0.222238	+	0.0241698i
$540$	−0.217445	−	4.01054i	−0.00935734	−	0.172586i
$541$	1.37404	+	4.94886i	0.0590748	+	0.212768i	0.987197	−	0.159509i	$-0.0509910\pi$
$541$	1.37404	+	4.94886i	0.0590748	+	0.212768i	−0.928122	+	0.372277i	$0.878577\pi$
$542$	−4.37240	+	10.9739i	−0.187811	+	0.471370i
$543$	17.2077	−	3.78770i	0.738454	−	0.162546i
$544$	0.247703	−	4.56861i	0.0106202	−	0.195878i
$545$	3.25821	−	19.8742i	0.139566	−	0.851317i
$546$	0.0187253	+	0.0276178i	0.000801370	+	0.00118193i
$547$	4.70800	+	11.8162i	0.201299	+	0.505223i	0.994621	−	0.103579i	$-0.0330295\pi$
$547$	4.70800	+	11.8162i	0.201299	+	0.505223i	−0.793322	+	0.608803i	$0.791650\pi$
$548$	10.0279	−	7.62303i	0.428372	−	0.325640i
$549$	2.79095	−	1.67926i	0.119115	−	0.0716691i
$550$	8.52373	+	2.87198i	0.363453	+	0.122462i
$551$	36.5047	−	34.5791i	1.55515	−	1.47312i
$552$	−1.15172	−	7.02518i	−0.0490204	−	0.299011i
$553$	0.102965	−	0.0111981i	0.00437850	−	0.000476191i
$554$	15.1946	+	9.14228i	0.645556	+	0.388418i
$555$	16.6678	+	19.6228i	0.707507	+	0.832941i
$556$	11.3110	+	5.23301i	0.479692	+	0.221929i
$557$	−2.98568	+	1.38132i	−0.126507	+	0.0585286i	−0.482122	−	0.876104i	$-0.660134\pi$
$557$	−2.98568	+	1.38132i	−0.126507	+	0.0585286i	0.355614	+	0.934633i	$0.384272\pi$
$558$	−2.20831	+	2.59982i	−0.0934852	+	0.110059i
$559$	−0.213821	+	0.0720447i	−0.00904367	+	0.00304717i
$560$	−1.42891	+	2.69521i	−0.0603824	+	0.113893i
$561$	1.73167	−	3.26628i	0.0731113	−	0.137903i
$562$	8.43505	−	2.84210i	0.355811	−	0.119887i
$563$	−24.4703	+	28.8087i	−1.03130	+	1.21414i	−0.0548292	+	0.998496i	$0.517461\pi$
$563$	−24.4703	+	28.8087i	−1.03130	+	1.21414i	−0.976472	+	0.215646i	$0.930814\pi$
$564$	4.35184	−	2.01338i	0.183245	−	0.0847784i
$565$	−52.3195	−	24.2056i	−2.20110	−	1.01834i
$566$	10.5244	+	12.3903i	0.442376	+	0.520805i
$567$	0.650801	+	0.391574i	0.0273311	+	0.0164446i
$568$	−15.6457	+	1.70158i	−0.656481	+	0.0713966i
$569$	−5.56762	−	33.9610i	−0.233407	−	1.42372i	−0.800138	−	0.599816i	$-0.795241\pi$
$569$	−5.56762	−	33.9610i	−0.233407	−	1.42372i	0.566731	−	0.823903i	$-0.308208\pi$
$570$	17.2947	−	16.3824i	0.724396	−	0.686185i
$571$	5.12714	+	1.72754i	0.214564	+	0.0722951i	0.424531	−	0.905413i	$-0.360439\pi$
$571$	5.12714	+	1.72754i	0.214564	+	0.0722951i	−0.209967	+	0.977709i	$0.567336\pi$
$572$	−0.0304165	+	0.0183010i	−0.00127178	+	0.000765204i
$573$	3.56099	−	2.70699i	0.148762	−	0.113086i
$574$	1.12715	+	2.82895i	0.0470465	+	0.118078i
$575$	−44.4718	−	65.5910i	−1.85460	−	2.73533i
$576$	−0.161782	+	0.986827i	−0.00674092	+	0.0411178i
$577$	1.43074	−	26.3885i	0.0595626	−	1.09857i	−0.804099	−	0.594495i	$-0.797352\pi$
$577$	1.43074	−	26.3885i	0.0595626	−	1.09857i	0.863662	−	0.504072i	$-0.168165\pi$
$578$	−3.84163	+	0.845606i	−0.159791	+	0.0351726i
$579$	−8.90683	+	22.3545i	−0.370155	+	0.929020i
$580$	9.10929	+	32.8087i	0.378243	+	1.36231i
$581$	0.152216	+	2.80746i	0.00631498	+	0.116473i
$582$	−2.77707	−	0.302024i	−0.115113	−	0.0125193i
$583$	−5.62319	−	4.27464i	−0.232889	−	0.177037i
$584$	−1.44168	+	5.19248i	−0.0596573	+	0.214866i
$585$	0.172325	+	0.0379315i	0.00712475	+	0.00156828i
$586$	−6.64302	+	9.79772i	−0.274421	+	0.404740i
$587$	−9.22572	−	8.73906i	−0.380786	−	0.360700i	0.473237	−	0.880935i	$-0.343086\pi$
$587$	−9.22572	−	8.73906i	−0.380786	−	0.360700i	−0.854023	+	0.520236i	$0.825844\pi$
$588$	3.00865	+	5.67491i	0.124075	+	0.234029i
$589$	−20.2319			−0.833640
$590$	−18.4877	+	24.6976i	−0.761128	+	1.01679i
$591$	20.1078			0.827123
$592$	−3.00261	−	5.66352i	−0.123406	−	0.232769i
$593$	−33.0208	−	31.2790i	−1.35600	−	1.28447i	−0.923892	−	0.382653i	$-0.875011\pi$
$593$	−33.0208	−	31.2790i	−1.35600	−	1.28447i	−0.432110	−	0.901821i	$-0.642231\pi$
$594$	−0.453448	+	0.668785i	−0.0186052	+	0.0274406i
$595$	13.6310	+	3.00041i	0.558816	+	0.123005i
$596$	−2.00393	+	7.21751i	−0.0820843	+	0.295641i
$597$	10.6662	+	8.10820i	0.436537	+	0.331846i
$598$	0.310917	+	0.0338143i	0.0127143	+	0.00138277i
$599$	0.788053	+	14.5348i	0.0321990	+	0.593875i	0.969460	+	0.245248i	$0.0788693\pi$
$599$	0.788053	+	14.5348i	0.0321990	+	0.593875i	−0.937261	+	0.348627i	$0.886648\pi$
$600$	2.97804	+	10.7259i	0.121578	+	0.437884i
$601$	12.2576	−	30.7642i	0.499997	−	1.25490i	−0.435060	−	0.900402i	$-0.643273\pi$
$601$	12.2576	−	30.7642i	0.499997	−	1.25490i	0.935057	−	0.354497i	$-0.115348\pi$
$602$	3.80965	−	0.838568i	0.155270	−	0.0341775i
$603$	−0.388031	+	7.15681i	−0.0158018	+	0.291448i
$604$	1.99013	−	12.1393i	0.0809774	−	0.493940i
$605$	23.3220	+	34.3974i	0.948176	+	1.39845i
$606$	−1.38511	−	3.47635i	−0.0562661	−	0.141217i
$607$	10.7806	−	8.19523i	0.437573	−	0.332634i	−0.363085	−	0.931756i	$-0.618277\pi$
$607$	10.7806	−	8.19523i	0.437573	−	0.332634i	0.800658	+	0.599122i	$0.204484\pi$
$608$	−5.08216	+	3.05783i	−0.206109	+	0.124012i
$609$	−6.10189	−	2.05597i	−0.247261	−	0.0833119i
$610$	−9.49769	+	8.99669i	−0.384550	+	0.364265i
$611$	0.0340802	+	0.207880i	0.00137874	+	0.00840992i
$612$	4.54850	−	0.494680i	0.183862	−	0.0199962i
$613$	10.2032	+	6.13907i	0.412104	+	0.247955i	0.706477	−	0.707736i	$-0.250283\pi$
$613$	10.2032	+	6.13907i	0.412104	+	0.247955i	−0.294373	+	0.955691i	$0.595111\pi$
$614$	5.06489	+	5.96285i	0.204402	+	0.240641i
$615$	14.6151	+	6.76168i	0.589339	+	0.272657i
$616$	0.556983	−	0.257688i	0.0224415	−	0.0103825i
$617$	−17.6263	+	20.7513i	−0.709607	+	0.835414i	−0.992308	−	0.123794i	$-0.960494\pi$
$617$	−17.6263	+	20.7513i	−0.709607	+	0.835414i	0.282701	+	0.959208i	$0.408770\pi$
$618$	−8.01934	+	2.70203i	−0.322585	+	0.108692i
$619$	−6.11463	+	11.5334i	−0.245768	+	0.463567i	−0.975451	−	0.220219i	$-0.929323\pi$
$619$	−6.11463	+	11.5334i	−0.245768	+	0.463567i	0.729683	+	0.683786i	$0.239668\pi$
$620$	6.41743	−	12.1046i	0.257730	−	0.486130i
$621$	6.74630	−	2.27309i	0.270720	−	0.0912161i
$622$	−16.2350	+	19.1133i	−0.650963	+	0.766373i
$623$	9.38615	−	4.34249i	0.376048	−	0.173978i
$624$	−0.0398717	−	0.0184466i	−0.00159614	−	0.000738455i
$625$	28.0033	+	32.9681i	1.12013	+	1.31872i
$626$	−11.7553	−	7.07291i	−0.469835	−	0.282690i
$627$	−4.76438	+	0.518157i	−0.190271	+	0.0206932i
$628$	−3.18741	−	19.4423i	−0.127191	−	0.775833i
$629$	−21.2926	+	20.1695i	−0.848993	+	0.804209i
$630$	−2.89087	−	0.974049i	−0.115175	−	0.0388070i
$631$	−2.85246	+	1.71627i	−0.113555	+	0.0683237i	−0.571198	−	0.820812i	$-0.693521\pi$
$631$	−2.85246	+	1.71627i	−0.113555	+	0.0683237i	0.457643	+	0.889136i	$0.348694\pi$
$632$	−0.108559	+	0.0825243i	−0.00431824	+	0.00328264i
$633$	9.10666	+	22.8560i	0.361957	+	0.908444i
$634$	−9.23297	−	13.6176i	−0.366688	−	0.540825i
$635$	0.0479946	−	0.292754i	0.00190461	−	0.0116176i
$636$	0.473270	−	8.72895i	0.0187664	−	0.346125i
$637$	−0.275584	+	0.0606606i	−0.0109190	+	0.00240346i
$638$	2.53547	−	6.36355i	0.100380	−	0.251935i
$639$	−4.21036	−	15.1644i	−0.166559	−	0.599893i
$640$	−0.217445	−	4.01054i	−0.00859527	−	0.158530i
$641$	5.99382	+	0.651868i	0.236742	+	0.0257472i	0.225721	−	0.974192i	$-0.427526\pi$
$641$	5.99382	+	0.651868i	0.236742	+	0.0257472i	0.0110211	+	0.999939i	$0.496492\pi$
$642$	−0.120333	−	0.0914747i	−0.00474916	−	0.00361022i
$643$	3.76525	−	13.5612i	0.148487	−	0.534802i	−0.851459	−	0.524421i	$-0.824282\pi$
$643$	3.76525	−	13.5612i	0.148487	−	0.534802i	0.999946	−	0.0103812i	$-0.00330448\pi$
$644$	−5.28059	−	1.16234i	−0.208084	−	0.0458028i
$645$	11.5762	−	17.0737i	0.455814	−	0.672275i
$646$	19.7013	+	18.6621i	0.775139	+	0.734251i
$647$	10.8715	+	20.5058i	0.427402	+	0.806165i	0.999906	−	0.0137370i	$-0.00437276\pi$
$647$	10.8715	+	20.5058i	0.427402	+	0.806165i	−0.572504	+	0.819902i	$0.694028\pi$
$648$	−1.00000			−0.0392837
$649$	5.96780	−	1.70464i	0.234257	−	0.0669129i
$650$	−0.489038			−0.0191816
$651$	1.21356	+	2.28902i	0.0475631	+	0.0897136i
$652$	−8.88891	−	8.42002i	−0.348117	−	0.329754i
$653$	24.8816	−	36.6976i	0.973692	−	1.43609i	0.0751651	−	0.997171i	$-0.476052\pi$
$653$	24.8816	−	36.6976i	0.973692	−	1.43609i	0.898527	−	0.438918i	$-0.144638\pi$
$654$	−4.89705	−	1.07792i	−0.191490	−	0.0421501i
$655$	16.1904	−	58.3125i	0.632610	−	2.27846i
$656$	−3.19186	−	2.42639i	−0.124621	−	0.0947345i
$657$	−5.35731	−	0.582643i	−0.209009	−	0.0227311i
$658$	−0.197169	−	3.63658i	−0.00768646	−	0.141768i
$659$	11.5902	+	41.7441i	0.451490	+	1.62612i	0.742816	+	0.669495i	$0.233490\pi$
$659$	11.5902	+	41.7441i	0.451490	+	1.62612i	−0.291327	+	0.956624i	$0.594097\pi$
$660$	1.20122	−	3.01484i	0.0467575	−	0.117352i
$661$	−33.5437	+	7.38352i	−1.30470	+	0.287186i	−0.812328	−	0.583201i	$-0.801800\pi$
$661$	−33.5437	+	7.38352i	−1.30470	+	0.287186i	−0.492369	+	0.870386i	$0.663869\pi$
$662$	0.690342	−	12.7326i	0.0268309	−	0.494867i
$663$	−0.0325187	+	0.198356i	−0.00126292	+	0.00770349i
$664$	−2.07739	−	3.06392i	−0.0806184	−	0.118903i
$665$	−6.69705	−	16.8083i	−0.259700	−	0.651799i
$666$	5.10314	−	3.87931i	0.197743	−	0.150320i
$667$	−51.7130	+	31.1147i	−2.00234	+	1.20477i
$668$	5.64545	+	1.90217i	0.218429	+	0.0735973i
$669$	2.98129	−	2.82403i	0.115263	−	0.109183i
$670$	−4.65722	−	28.4078i	−0.179924	−	1.09749i
$671$	2.61644	−	0.284555i	0.101006	−	0.0109851i
$672$	0.650801	+	0.391574i	0.0251052	+	0.0151053i
$673$	−7.96116	−	9.37260i	−0.306880	−	0.361287i	0.587005	−	0.809583i	$-0.300307\pi$
$673$	−7.96116	−	9.37260i	−0.306880	−	0.361287i	−0.893885	+	0.448296i	$0.852031\pi$
$674$	−17.8333	−	8.25058i	−0.686915	−	0.317801i
$675$	−10.1028	+	4.67407i	−0.388859	+	0.179905i
$676$	−8.41477	+	9.90664i	−0.323645	+	0.381024i
$677$	−33.2894	+	11.2165i	−1.27942	+	0.431086i	−0.875281	−	0.483614i	$-0.839324\pi$
$677$	−33.2894	+	11.2165i	−1.27942	+	0.431086i	−0.404135	+	0.914699i	$0.632427\pi$
$678$	−6.72303	+	12.6810i	−0.258197	+	0.487010i
$679$	−0.993812	+	1.87453i	−0.0381390	+	0.0719378i
$680$	−17.4145	+	5.86763i	−0.667816	+	0.225013i
$681$	−14.8625	+	17.4975i	−0.569533	+	0.670506i
$682$	−2.50149	+	1.15731i	−0.0957870	+	0.0443158i
$683$	−40.2238	−	18.6095i	−1.53912	−	0.712074i	−0.546975	−	0.837149i	$-0.684221\pi$
$683$	−40.2238	−	18.6095i	−1.53912	−	0.712074i	−0.992147	+	0.125076i	$0.960083\pi$
$684$	−3.83975	−	4.52051i	−0.146817	−	0.172846i
$685$	−43.3506	−	26.0832i	−1.65634	−	0.996588i
$686$	10.1354	−	1.10229i	0.386971	−	0.0420856i
$687$	0.895764	+	5.46392i	0.0341755	+	0.208461i
$688$	−3.72867	+	3.53198i	−0.142154	+	0.134655i
$689$	0.363940	+	0.122626i	0.0138650	+	0.00467167i
$690$	−24.4999	+	14.7411i	−0.932696	+	0.561185i
$691$	25.1063	−	19.0853i	0.955090	−	0.726040i	−0.00665773	−	0.999978i	$-0.502119\pi$
$691$	25.1063	−	19.0853i	0.955090	−	0.726040i	0.961748	+	0.273937i	$0.0883261\pi$
$692$	6.62424	+	16.6256i	0.251816	+	0.632010i
$693$	0.344403	+	0.507957i	0.0130828	+	0.0192957i
$694$	3.70234	−	22.5833i	0.140539	−	0.857250i
$695$	2.70998	−	49.9827i	0.102795	−	1.89595i
$696$	8.27944	−	1.82244i	0.313831	−	0.0690795i
$697$	−6.78993	+	17.0415i	−0.257187	+	0.645491i
$698$	−5.08149	−	18.3019i	−0.192337	−	0.692736i
$699$	−1.45632	−	26.8603i	−0.0550832	−	1.01595i
$700$	8.40519	+	0.914119i	0.317686	+	0.0345505i
$701$	−4.61260	−	3.50641i	−0.174215	−	0.132435i	0.514433	−	0.857531i	$-0.328002\pi$
$701$	−4.61260	−	3.50641i	−0.174215	−	0.132435i	−0.688648	+	0.725096i	$0.741796\pi$
$702$	0.0117531	−	0.0423307i	0.000443591	−	0.00159767i
$703$	37.1312	+	8.17321i	1.40043	+	0.308258i
$704$	−0.453448	+	0.668785i	−0.0170900	+	0.0252058i
$705$	−13.9818	−	13.2443i	−0.526586	−	0.498809i
$706$	−2.59544	−	4.89553i	−0.0976808	−	0.184246i
$707$	−2.84223			−0.106893
$708$	5.89093	+	4.92919i	0.221395	+	0.185250i
$709$	−39.4733			−1.48245			−0.741226	−	0.671255i	$-0.765755\pi$
$709$	−39.4733			−1.48245			−0.741226	+	0.671255i	$0.765755\pi$
$710$	29.6084	+	55.8473i	1.11118	+	2.09591i
$711$	−0.0990001	−	0.0937778i	−0.00371279	−	0.00351694i
$712$	−7.64139	+	11.2702i	−0.286373	+	0.422369i
$713$	23.7158	+	5.22025i	0.888165	+	0.195500i
$714$	0.929676	−	3.34839i	0.0347922	−	0.125310i
$715$	0.113502	+	0.0862822i	0.00424475	+	0.00322677i
$716$	−21.1648	−	2.30181i	−0.790966	−	0.0860228i
$717$	1.39873	+	25.7980i	0.0522364	+	0.963443i
$718$	−8.00835	−	28.8435i	−0.298869	−	1.07643i
$719$	−10.6981	+	26.8503i	−0.398973	+	1.00135i	0.583025	+	0.812454i	$0.301869\pi$
$719$	−10.6981	+	26.8503i	−0.398973	+	1.00135i	−0.981998	+	0.188892i	$0.939511\pi$
$720$	3.92252	−	0.863413i	0.146184	−	0.0321775i
$721$	−0.347967	+	6.41788i	−0.0129590	+	0.239014i
$722$	2.61742	−	15.9656i	0.0974105	−	0.594178i
$723$	−7.57339	−	11.1699i	−0.281658	−	0.415414i
$724$	6.52170	+	16.3682i	0.242377	+	0.608321i
$725$	75.1276	−	57.1105i	2.79017	−	2.12103i
$726$	8.86600	−	5.33449i	0.329048	−	0.197982i
$727$	26.5836	+	8.95705i	0.985930	+	0.332198i	0.765664	−	0.643241i	$-0.222411\pi$
$727$	26.5836	+	8.95705i	0.985930	+	0.332198i	0.220266	+	0.975440i	$0.429307\pi$
$728$	−0.0242245	+	0.0229467i	−0.000897821	+	0.000850461i
$729$	−0.161782	−	0.986827i	−0.00599193	−	0.0365491i
$730$	21.5173	−	2.34014i	0.796389	−	0.0866126i
$731$	20.1349	+	12.1148i	0.744717	+	0.448081i
$732$	2.10867	+	2.48251i	0.0779385	+	0.0917563i
$733$	4.22415	+	1.95430i	0.156023	+	0.0721837i	0.496346	−	0.868125i	$-0.334675\pi$
$733$	4.22415	+	1.95430i	0.156023	+	0.0721837i	−0.340324	+	0.940308i	$0.610537\pi$
$734$	−10.8516	+	5.02050i	−0.400541	+	0.185310i
$735$	16.7013	−	19.6623i	0.616036	−	0.725254i
$736$	6.74630	−	2.27309i	0.248672	−	0.0837874i
$737$	−2.71269	+	5.11668i	−0.0999234	+	0.188476i
$738$	1.87804	−	3.54236i	0.0691316	−	0.130396i
$739$	12.3556	−	4.16308i	0.454507	−	0.153141i	−0.0827310	−	0.996572i	$-0.526364\pi$
$739$	12.3556	−	4.16308i	0.454507	−	0.153141i	0.537238	+	0.843431i	$0.319468\pi$
$740$	−16.6678	+	19.6228i	−0.612719	+	0.721348i
$741$	0.236485	−	0.109410i	0.00868751	−	0.00401927i
$742$	−6.02590	−	2.78788i	−0.221218	−	0.102346i
$743$	−18.5914	−	21.8875i	−0.682054	−	0.802976i	0.306814	−	0.951769i	$-0.400737\pi$
$743$	−18.5914	−	21.8875i	−0.682054	−	0.802976i	−0.988868	+	0.148793i	$0.952461\pi$
$744$	−2.92284	−	1.75861i	−0.107156	−	0.0644739i
$745$	29.9089	−	3.25278i	1.09578	−	0.119173i
$746$	0.933918	+	5.69665i	0.0341932	+	0.208569i
$747$	2.68747	−	2.54571i	0.0983295	−	0.0931427i
$748$	3.50341	+	1.18044i	0.128097	+	0.0431610i
$749$	−0.0983714	+	0.0591881i	−0.00359441	+	0.00216269i
$750$	19.6058	−	14.9039i	0.715901	−	0.544214i
$751$	3.42389	+	8.59331i	0.124939	+	0.313574i	0.978120	−	0.208041i	$-0.0667089\pi$
$751$	3.42389	+	8.59331i	0.124939	+	0.313574i	−0.853181	+	0.521616i	$0.825330\pi$
$752$	2.69090	+	3.96878i	0.0981271	+	0.144727i
$753$	−2.14788	+	13.1015i	−0.0782731	+	0.477445i
$754$	−0.0201635	+	0.371894i	−0.000734312	+	0.0135436i
$755$	−48.2523	+	10.6211i	−1.75608	+	0.386543i
$756$	−0.281128	+	0.705577i	−0.0102245	+	0.0256616i
$757$	−1.24378	−	4.47968i	−0.0452059	−	0.162817i	0.937502	−	0.347980i	$-0.113132\pi$
$757$	−1.24378	−	4.47968i	−0.0452059	−	0.162817i	−0.982708	+	0.185163i	$0.940719\pi$
$758$	−0.0437525	−	0.806967i	−0.00158916	−	0.0293104i
$759$	5.71851	+	0.621925i	0.207569	+	0.0225744i
$760$	18.9646	+	14.4165i	0.687918	+	0.522942i
$761$	−4.04881	+	14.5825i	−0.146769	+	0.528616i	0.853206	+	0.521574i	$0.174655\pi$
$761$	−4.04881	+	14.5825i	−0.146769	+	0.528616i	−0.999975	+	0.00704117i	$0.997759\pi$
$762$	−0.0721354	−	0.0158782i	−0.00261319	−	0.000575207i
$763$	−2.13725	+	3.15221i	−0.0773738	+	0.114118i
$764$	3.24744	+	3.07614i	0.117488	+	0.111291i
$765$	−8.60769	−	16.2358i	−0.311212	−	0.587007i
$766$	2.02533			0.0731781
$767$	−0.277893	+	0.191434i	−0.0100341	+	0.00691230i
$768$	−1.00000			−0.0360844
$769$	16.9242	+	31.9224i	0.610302	+	1.15115i	0.975454	+	0.220204i	$0.0706723\pi$
$769$	16.9242	+	31.9224i	0.610302	+	1.15115i	−0.365152	+	0.930948i	$0.618983\pi$
$770$	−1.78951	−	1.69511i	−0.0644893	−	0.0610875i
$771$	−16.8361	+	24.8313i	−0.606336	+	0.894278i
$772$	−23.5009	−	5.17295i	−0.845817	−	0.186178i
$773$	5.44677	−	19.6175i	0.195907	−	0.705592i	−0.798687	−	0.601747i	$-0.794472\pi$
$773$	5.44677	−	19.6175i	0.195907	−	0.705592i	0.994593	−	0.103845i	$-0.0331146\pi$
$774$	−4.08868	−	3.10814i	−0.146965	−	0.111720i
$775$	−37.7489	−	4.10544i	−1.35598	−	0.147472i
$776$	−0.151234	−	2.78935i	−0.00542898	−	0.100132i
$777$	−1.30252	−	4.69124i	−0.0467275	−	0.168297i
$778$	−4.12060	+	10.3419i	−0.147731	+	0.370776i
$779$	23.2245	−	5.11209i	0.832103	−	0.183160i
$780$	−0.00955281	+	0.176191i	−0.000342045	+	0.00630866i
$781$	2.05731	−	12.5490i	0.0736163	−	0.449039i
$782$	−18.2787	−	26.9591i	−0.653646	−	0.964056i
$783$	3.13790	+	7.87553i	0.112139	+	0.281448i
$784$	−5.11341	+	3.88711i	−0.182622	+	0.138825i
$785$	−67.8040	+	40.7963i	−2.42003	+	1.45608i
$786$	−14.2790	−	4.81114i	−0.509314	−	0.171608i
$787$	0.100266	−	0.0949765i	0.00357408	−	0.00338555i	−0.685910	−	0.727686i	$-0.740596\pi$
$787$	0.100266	−	0.0949765i	0.00357408	−	0.00338555i	0.689484	+	0.724301i	$0.257837\pi$
$788$	3.25308	+	19.8429i	0.115886	+	0.706874i
$789$	−12.4246	+	1.35125i	−0.442326	+	0.0481059i
$790$	0.469299	+	0.282368i	0.0166969	+	0.0100462i
$791$	7.05739	+	8.30860i	0.250932	+	0.295420i
$792$	−0.733335	−	0.339277i	−0.0260579	−	0.0120557i
$793$	−0.129870	+	0.0600842i	−0.00461182	+	0.00213365i
$794$	16.9544	−	19.9603i	0.601689	−	0.708363i
$795$	−33.2727	+	11.2109i	−1.18006	+	0.397609i
$796$	−6.27579	+	11.8374i	−0.222440	+	0.419566i
$797$	2.68001	−	5.05504i	0.0949309	−	0.179059i	−0.831499	−	0.555527i	$-0.812517\pi$
$797$	2.68001	−	5.05504i	0.0949309	−	0.179059i	0.926430	+	0.376468i	$0.122862\pi$
$798$	−4.26903	+	1.43840i	−0.151122	+	0.0509189i
$799$	14.2029	−	16.7209i	0.502461	−	0.591542i
$800$	−10.1028	+	4.67407i	−0.357189	+	0.165253i
$801$	−12.3580	−	5.71741i	−0.436648	−	0.202015i
$802$	12.4649	+	14.6748i	0.440151	+	0.518185i
$803$	−3.73103	−	2.24488i	−0.131665	−	0.0792202i
$804$	−7.12530	+	0.774923i	−0.251290	+	0.0273294i
$805$	3.51339	+	21.4307i	0.123831	+	0.755334i
$806$	0.108796	−	0.103057i	0.00383217	−	0.00363002i
$807$	−12.8114	−	4.31665i	−0.450981	−	0.151953i
$808$	3.20647	−	1.92927i	0.112803	−	0.0678715i
$809$	−21.3305	+	16.2150i	−0.749941	+	0.570090i	−0.908810	−	0.417210i	$-0.863008\pi$
$809$	−21.3305	+	16.2150i	−0.749941	+	0.570090i	0.158870	+	0.987300i	$0.449215\pi$
$810$	1.48663	+	3.73117i	0.0522350	+	0.131100i
$811$	21.7838	+	32.1287i	0.764933	+	1.12819i	0.988160	+	0.153425i	$0.0490304\pi$
$811$	21.7838	+	32.1287i	0.764933	+	1.12819i	−0.223227	+	0.974766i	$0.571659\pi$
$812$	1.04171	−	6.35412i	0.0365567	−	0.222986i
$813$	0.639537	−	11.7956i	0.0224295	−	0.413689i
$814$	5.05847	−	1.11345i	0.177299	−	0.0390265i
$815$	−18.2020	+	45.6835i	−0.637587	+	1.60022i
$816$	1.22403	+	4.40855i	0.0428496	+	0.154330i
$817$	−1.64918	−	30.4174i	−0.0576976	−	1.06417i
$818$	−6.31783	−	0.687106i	−0.220898	−	0.0240241i
$819$	−0.0265635	−	0.0201931i	−0.000928204	−	0.000705602i
$820$	−4.30814	+	15.5165i	−0.150447	+	0.541860i
$821$	−16.1248	−	3.54935i	−0.562761	−	0.123873i	−0.0755258	−	0.997144i	$-0.524064\pi$
$821$	−16.1248	−	3.54935i	−0.562761	−	0.123873i	−0.487235	+	0.873271i	$0.661995\pi$
$822$	−7.06895	+	10.4259i	−0.246558	+	0.363646i
$823$	−23.7112	−	22.4605i	−0.826522	−	0.782923i	0.152149	−	0.988358i	$-0.451381\pi$
$823$	−23.7112	−	22.4605i	−0.826522	−	0.782923i	−0.978671	+	0.205434i	$0.934139\pi$
$824$	−3.96382	−	7.47656i	−0.138086	−	0.260458i
$825$	−8.99457			−0.313151
$826$	5.13403	−	2.77078i	0.178636	−	0.0964077i
$827$	28.4707			0.990023			0.495012	−	0.868886i	$-0.335164\pi$
$827$	28.4707			0.990023			0.495012	+	0.868886i	$0.335164\pi$
$828$	3.33458	+	6.28968i	0.115885	+	0.218582i
$829$	26.1676	+	24.7873i	0.908839	+	0.860898i	0.990744	−	0.135742i	$-0.0433418\pi$
$829$	26.1676	+	24.7873i	0.908839	+	0.860898i	−0.0819052	+	0.996640i	$0.526100\pi$
$830$	−8.34368	+	12.3060i	−0.289614	+	0.427148i
$831$	−17.3183	−	3.81206i	−0.600767	−	0.132239i
$832$	0.0117531	−	0.0423307i	0.000407465	−	0.00146755i
$833$	23.3955	+	17.7848i	0.810606	+	0.616207i
$834$	−12.3898	−	1.34747i	−0.429023	−	0.0466591i
$835$	−1.29538	−	23.8919i	−0.0448286	−	0.826815i
$836$	−1.28212	−	4.61779i	−0.0443431	−	0.159709i
$837$	1.26258	−	3.16885i	0.0436413	−	0.109531i
$838$	33.2887	−	7.32739i	1.14994	−	0.253120i
$839$	−1.31180	+	24.1947i	−0.0452882	+	0.835293i	0.884351	+	0.466822i	$0.154601\pi$
$839$	−1.31180	+	24.1947i	−0.0452882	+	0.835293i	−0.929639	+	0.368470i	$0.879882\pi$
$840$	0.493526	−	3.01037i	0.0170283	−	0.103868i
$841$	−24.0583	−	35.4833i	−0.829596	−	1.22356i
$842$	−7.44995	−	18.6980i	−0.256742	−	0.644375i
$843$	−7.08601	+	5.38665i	−0.244055	+	0.185526i
$844$	−21.0816	+	12.6844i	−0.725659	+	0.436614i
$845$	49.4730	+	16.6694i	1.70192	+	0.573444i
$846$	−3.48116	+	3.29753i	−0.119685	+	0.113371i
$847$	−1.27142	−	7.75532i	−0.0436865	−	0.266476i
$848$	8.69052	−	0.945151i	0.298434	−	0.0324566i
$849$	−13.9298	−	8.38127i	−0.478069	−	0.287644i
$850$	32.9721	+	38.8177i	1.13093	+	1.33144i
$851$	−41.4164	−	19.1613i	−1.41974	−	0.656840i
$852$	14.2834	−	6.60822i	0.489342	−	0.226394i
$853$	18.5596	−	21.8500i	0.635468	−	0.748131i	−0.346319	−	0.938117i	$-0.612568\pi$
$853$	18.5596	−	21.8500i	0.635468	−	0.748131i	0.981787	+	0.189986i	$0.0608443\pi$
$854$	2.34441	−	0.789924i	0.0802241	−	0.0270306i
$855$	−11.1585	+	21.0471i	−0.381612	+	0.719796i
$856$	0.0708020	−	0.133547i	0.00241996	−	0.00456453i
$857$	16.3571	−	5.51134i	0.558747	−	0.188264i	−0.0257374	−	0.999669i	$-0.508193\pi$
$857$	16.3571	−	5.51134i	0.558747	−	0.188264i	0.584484	+	0.811405i	$0.301297\pi$
$858$	0.0229808	−	0.0270551i	0.000784551	−	0.000923644i
$859$	−35.3209	+	16.3412i	−1.20513	+	0.557555i	−0.916558	−	0.399902i	$-0.869044\pi$
$859$	−35.3209	+	16.3412i	−1.20513	+	0.557555i	−0.288577	+	0.957457i	$0.593182\pi$
$860$	18.7216	+	8.66152i	0.638400	+	0.295355i
$861$	−1.97144	−	2.32096i	−0.0671864	−	0.0790980i
$862$	−25.7315	−	15.4821i	−0.876419	−	0.527324i
$863$	−50.2110	+	5.46077i	−1.70920	+	0.185887i	−0.909838	−	0.414963i	$-0.863795\pi$
$863$	−50.2110	+	5.46077i	−1.70920	+	0.185887i	−0.799362	+	0.600849i	$0.794829\pi$
$864$	−0.161782	−	0.986827i	−0.00550394	−	0.0335725i
$865$	52.1851	−	49.4323i	1.77434	−	1.68075i
$866$	31.3225	+	10.5538i	1.06438	+	0.358631i
$867$	3.37053	−	2.02798i	0.114469	−	0.0688738i
$868$	−2.06253	+	1.56789i	−0.0700068	+	0.0532178i
$869$	−0.0407835	−	0.102359i	−0.00138349	−	0.00347229i
$870$	−19.1083	−	28.1827i	−0.647833	−	0.955482i
$871$	0.0509411	−	0.310727i	0.00172607	−	0.0105286i
$872$	0.271468	−	5.00693i	0.00919306	−	0.169556i
$873$	2.72813	−	0.600508i	0.0923333	−	0.0203241i
$874$	−15.6286	+	39.2248i	−0.528645	+	1.32680i
$875$	−5.00414	−	18.0233i	−0.169171	−	0.609298i
$876$	−0.291749	−	5.38100i	−0.00985729	−	0.181807i
$877$	−41.5560	−	4.51949i	−1.40325	−	0.152612i	−0.625026	−	0.780604i	$-0.714912\pi$
$877$	−41.5560	−	4.51949i	−1.40325	−	0.152612i	−0.778220	+	0.627992i	$0.783877\pi$
$878$	−20.8555	−	15.8539i	−0.703839	−	0.535045i
$879$	3.16685	−	11.4060i	0.106815	−	0.384714i
$880$	3.16946	+	0.697651i	0.106842	+	0.0235178i
$881$	−24.9617	+	36.8157i	−0.840980	+	1.24035i	0.127643	+	0.991820i	$0.459259\pi$
$881$	−24.9617	+	36.8157i	−0.840980	+	1.24035i	−0.968623	+	0.248533i	$0.920052\pi$
$882$	−4.66316	−	4.41718i	−0.157017	−	0.148734i
$883$	−3.83994	−	7.24290i	−0.129224	−	0.243743i	0.810454	−	0.585802i	$-0.199220\pi$
$883$	−3.83994	−	7.24290i	−0.129224	−	0.243743i	−0.939678	+	0.342059i	$0.888876\pi$
$884$	−0.201003			−0.00676048
$885$	9.63398	−	29.3079i	0.323843	−	0.985176i
$886$	−19.5568			−0.657022
$887$	2.29222	+	4.32358i	0.0769652	+	0.145172i	0.919008	−	0.394239i	$-0.128992\pi$
$887$	2.29222	+	4.32358i	0.0769652	+	0.145172i	−0.842043	+	0.539411i	$0.818647\pi$
$888$	4.65380	+	4.40831i	0.156171	+	0.147933i
$889$	−0.0314826	+	0.0464333i	−0.00105589	+	0.00155732i
$890$	53.4110	+	11.7566i	1.79034	+	0.394084i
$891$	0.216167	−	0.778563i	0.00724187	−	0.0260828i
$892$	3.26915	+	2.48514i	0.109459	+	0.0832086i
$893$	−28.2733	−	3.07491i	−0.946131	−	0.102898i
$894$	−0.405530	−	7.47956i	−0.0135629	−	0.250154i
$895$	22.8759	+	82.3914i	0.764656	+	2.75404i
$896$	−0.281128	+	0.705577i	−0.00939182	+	0.0235717i
$897$	−0.305439	+	0.0672321i	−0.0101983	+	0.00224481i
$898$	−1.44763	+	26.6999i	−0.0483079	+	0.890987i
$899$	−4.67844	+	28.5372i	−0.156035	+	0.951770i
$900$	−6.24696	−	9.21357i	−0.208232	−	0.307119i
$901$	−14.8042	−	37.1557i	−0.493199	−	1.23784i
$902$	2.57907	−	1.96056i	0.0858737	−	0.0652795i
$903$	−3.34247	+	2.01110i	−0.111231	+	0.0669252i
$904$	−13.6016	−	4.58291i	−0.452383	−	0.152425i
$905$	51.3773	−	48.6671i	1.70784	−	1.61775i
$906$	1.99013	+	12.1393i	0.0661178	+	0.403301i
$907$	−2.80964	+	0.305567i	−0.0932926	+	0.0101462i	−0.154646	−	0.987970i	$-0.549424\pi$
$907$	−2.80964	+	0.305567i	−0.0932926	+	0.0101462i	0.0613537	+	0.998116i	$0.480458\pi$
$908$	−19.6715	−	11.8359i	−0.652821	−	0.392789i
$909$	2.42260	+	2.85211i	0.0803527	+	0.0945985i
$910$	0.121631	+	0.0562725i	0.00403203	+	0.00186541i
$911$	−35.8225	+	16.5733i	−1.18685	+	0.549097i	−0.911121	−	0.412138i	$-0.864782\pi$
$911$	−35.8225	+	16.5733i	−1.18685	+	0.549097i	−0.275731	+	0.961235i	$0.588920\pi$
$912$	3.83975	−	4.52051i	0.127147	−	0.149689i
$913$	2.83452	−	0.955060i	0.0938089	−	0.0316079i
$914$	−0.345317	+	0.651337i	−0.0114221	+	0.0215443i
$915$	6.12786	−	11.5584i	0.202581	−	0.382108i
$916$	−5.24702	+	1.76793i	−0.173366	+	0.0584140i
$917$	−7.40885	+	8.72237i	−0.244662	+	0.288038i
$918$	−4.15245	+	1.92113i	−0.137051	+	0.0634067i
$919$	−31.2755	−	14.4696i	−1.03168	−	0.477308i	−0.170370	−	0.985380i	$-0.554496\pi$
$919$	−31.2755	−	14.4696i	−1.03168	−	0.477308i	−0.861315	+	0.508072i	$0.830358\pi$
$920$	−18.5106	−	21.7923i	−0.610275	−	0.718472i
$921$	−6.70371	−	4.03349i	−0.220895	−	0.132908i
$922$	18.9848	−	2.06472i	0.625230	−	0.0679978i
$923$	0.111857	+	0.682295i	0.00368180	+	0.0224580i
$924$	−0.445547	+	0.422044i	−0.0146574	+	0.0138842i
$925$	67.6214	+	22.7843i	2.22338	+	0.749143i
$926$	−7.79507	+	4.69014i	−0.256162	+	0.154127i
$927$	6.73679	−	5.12117i	0.221265	−	0.168201i
$928$	3.13790	+	7.87553i	0.103007	+	0.258527i
$929$	22.8918	+	33.7629i	0.751055	+	1.10772i	0.990594	+	0.136836i	$0.0436935\pi$
$929$	22.8918	+	33.7629i	0.751055	+	1.10772i	−0.239539	+	0.970887i	$0.576996\pi$
$930$	−2.21649	+	13.5200i	−0.0726817	+	0.443339i
$931$	2.06251	−	38.0408i	0.0675960	−	1.24674i
$932$	26.2709	−	5.78265i	0.860531	−	0.189417i
$933$	9.28222	−	23.2966i	0.303886	−	0.762697i
$934$	−4.64270	−	16.7215i	−0.151914	−	0.547145i
$935$	−0.803879	−	14.8267i	−0.0262897	−	0.484884i
$936$	0.0436745	+	0.00474989i	0.00142755	+	0.000155255i
$937$	−37.4991	−	28.5061i	−1.22504	−	0.931252i	−0.225961	−	0.974136i	$-0.572552\pi$
$937$	−37.4991	−	28.5061i	−1.22504	−	0.931252i	−0.999080	+	0.0428842i	$0.986345\pi$
$938$	−1.45635	+	5.24531i	−0.0475516	+	0.171265i
$939$	13.3983	+	2.94919i	0.437237	+	0.0962432i
$940$	10.8078	−	15.9403i	0.352512	−	0.519916i
$941$	−7.79912	−	7.38772i	−0.254244	−	0.240833i	0.549953	−	0.835196i	$-0.314646\pi$
$941$	−7.79912	−	7.38772i	−0.254244	−	0.240833i	−0.804197	+	0.594363i	$0.797404\pi$
$942$	9.22852	+	17.4068i	0.300681	+	0.567145i
$943$	−28.5428			−0.929481
$944$	−3.91121	+	6.61078i	−0.127299	+	0.215163i
$945$	3.05056			0.0992348
$946$	−1.94385	−	3.66650i	−0.0632002	−	0.119208i
$947$	25.5946	+	24.2445i	0.831714	+	0.787842i	0.979556	−	0.201169i	$-0.0644742\pi$
$947$	25.5946	+	24.2445i	0.831714	+	0.787842i	−0.147842	+	0.989011i	$0.547233\pi$
$948$	0.0765260	−	0.112867i	0.00248545	−	0.00366576i
$949$	0.231211	+	0.0508933i	0.00750542	+	0.00165207i
$950$	17.6633	−	63.6173i	0.573072	−	2.06402i
$951$	13.0978	+	9.95667i	0.424725	+	0.322867i
$952$	3.45468	+	0.375720i	0.111967	+	0.0121771i
$953$	1.00270	+	18.4937i	0.0324805	+	0.599068i	0.968789	+	0.247889i	$0.0797367\pi$
$953$	1.00270	+	18.4937i	0.0324805	+	0.599068i	−0.936308	+	0.351180i	$0.885781\pi$
$954$	2.33867	+	8.42313i	0.0757172	+	0.272709i
$955$	6.64983	−	16.6898i	0.215183	−	0.540070i
$956$	−25.2318	+	5.55395i	−0.816056	+	0.179628i
$957$	−0.370855	+	6.84001i	−0.0119880	+	0.221106i
$958$	0.299200	−	1.82504i	0.00966673	−	0.0589644i
$959$	5.36902	+	7.91871i	0.173375	+	0.255708i
$960$	1.48663	+	3.73117i	0.0479809	+	0.120423i
$961$	−15.4158	+	11.7188i	−0.497283	+	0.378025i
$962$	−0.241304	+	0.145188i	−0.00777994	+	0.00468103i
$963$	0.143242	+	0.0482638i	0.00461591	+	0.00155528i
$964$	9.79753	−	9.28072i	0.315557	−	0.298912i
$965$	15.6361	+	95.3762i	0.503345	+	3.07027i
$966$	5.37530	−	0.584599i	0.172948	−	0.0188092i
$967$	22.8612	+	13.7552i	0.735168	+	0.442336i	0.833288	−	0.552839i	$-0.186455\pi$
$967$	22.8612	+	13.7552i	0.735168	+	0.442336i	−0.0981203	+	0.995175i	$0.531283\pi$
$968$	6.69858	+	7.88618i	0.215300	+	0.253471i
$969$	−24.6289	−	11.3945i	−0.791193	−	0.366045i
$970$	−10.1827	+	4.71101i	−0.326946	+	0.151261i
$971$	20.0431	−	23.5966i	0.643215	−	0.757251i	−0.339856	−	0.940478i	$-0.610378\pi$
$971$	20.0431	−	23.5966i	0.643215	−	0.757251i	0.983071	+	0.183226i	$0.0586541\pi$
$972$	0.947653	−	0.319302i	0.0303960	−	0.0102416i
$973$	−4.43386	+	8.36314i	−0.142143	+	0.268110i
$974$	5.02423	−	9.47670i	0.160987	−	0.303653i
$975$	0.463438	−	0.156151i	0.0148419	−	0.00500082i
$976$	−2.10867	+	2.48251i	−0.0674968	+	0.0794633i
$977$	18.4543	−	8.53787i	0.590406	−	0.273151i	−0.101854	−	0.994799i	$-0.532477\pi$
$977$	18.4543	−	8.53787i	0.590406	−	0.273151i	0.692259	+	0.721649i	$0.256615\pi$
$978$	11.1121	+	5.14102i	0.355327	+	0.164392i
$979$	−7.12275	−	8.38555i	−0.227644	−	0.268003i
$980$	22.1052	+	13.3003i	0.706125	+	0.424862i
$981$	4.98489	−	0.542139i	0.159155	−	0.0173092i
$982$	−5.57488	−	34.0053i	−0.177902	−	1.08515i
$983$	41.4549	−	39.2682i	1.32221	−	1.25246i	0.376908	−	0.926251i	$-0.376987\pi$
$983$	41.4549	−	39.2682i	1.32221	−	1.25246i	0.945298	−	0.326209i	$-0.105771\pi$
$984$	3.79952	+	1.28021i	0.121124	+	0.0408116i
$985$	69.2010	−	41.6369i	2.20493	−	1.32666i
$986$	30.8788	−	23.4735i	0.983382	−	0.747547i
$987$	1.34801	+	3.38326i	0.0429077	+	0.107690i
$988$	0.146228	+	0.215670i	0.00465212	+	0.00686136i
$989$	−5.91515	+	36.0808i	−0.188091	+	1.14730i
$990$	−0.175699	+	3.24057i	−0.00558408	+	0.102992i
$991$	13.5625	−	2.98534i	0.430828	−	0.0948323i	0.00573784	−	0.999984i	$-0.498174\pi$
$991$	13.5625	−	2.98534i	0.430828	−	0.0948323i	0.425090	+	0.905151i	$0.360243\pi$
$992$	1.26258	−	3.16885i	0.0400871	−	0.100611i
$993$	3.41134	+	12.2865i	0.108256	+	0.389901i
$994$	−0.647141	−	11.9358i	−0.0205261	−	0.378581i
$995$	53.4971	+	5.81816i	1.69597	+	0.184448i
$996$	2.94696	+	2.24022i	0.0933780	+	0.0709841i
$997$	−3.62722	+	13.0641i	−0.114875	+	0.413743i	−0.998518	−	0.0544181i	$-0.982670\pi$
$997$	−3.62722	+	13.0641i	−0.114875	+	0.413743i	0.883643	+	0.468161i	$0.155083\pi$
$998$	3.62485	+	0.797890i	0.114743	+	0.0252568i
$999$	−3.59734	+	5.30568i	−0.113815	+	0.167864i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	354.2.e.b.205.2	yes	56
59.19	even	29	inner	354.2.e.b.19.2	✓	56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
354.2.e.b.19.2	✓	56	59.19	even	29	inner
354.2.e.b.205.2	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)

\(f(q)\)	\(=\)	\(q+(-0.468408 - 0.883512i) q^{2} +(0.725995 + 0.687699i) q^{3} +(-0.561187 + 0.827689i) q^{4} +(3.92252 + 0.863413i) q^{5} +(0.267528 - 0.963550i) q^{6} +(-0.604650 - 0.459643i) q^{7} +(0.994138 + 0.108119i) q^{8} +(0.0541389 + 0.998533i) q^{9} +O(q^{10})\)	\(q+(-0.468408 - 0.883512i) q^{2} +(0.725995 + 0.687699i) q^{3} +(-0.561187 + 0.827689i) q^{4} +(3.92252 + 0.863413i) q^{5} +(0.267528 - 0.963550i) q^{6} +(-0.604650 - 0.459643i) q^{7} +(0.994138 + 0.108119i) q^{8} +(0.0541389 + 0.998533i) q^{9} +(-1.07451 - 3.87003i) q^{10} +(-0.299077 + 0.750627i) q^{11} +(-0.976621 + 0.214970i) q^{12} +(0.00237843 - 0.0438676i) q^{13} +(-0.122877 + 0.749516i) q^{14} +(2.25397 + 3.32435i) q^{15} +(-0.370138 - 0.928977i) q^{16} +(-3.64238 + 2.76887i) q^{17} +(0.856857 - 0.515554i) q^{18} +(5.62069 + 1.89383i) q^{19} +(-2.91591 + 2.76209i) q^{20} +(-0.122877 - 0.749516i) q^{21} +(0.803279 - 0.0873618i) q^{22} +(-6.09993 - 3.67021i) q^{23} +(0.647386 + 0.762162i) q^{24} +(10.1028 + 4.67407i) q^{25} +(-0.0398717 + 0.0184466i) q^{26} +(-0.647386 + 0.762162i) q^{27} +(0.719763 - 0.242516i) q^{28} +(3.97100 - 7.49010i) q^{29} +(1.88133 - 3.54856i) q^{30} +(-3.23255 + 1.08917i) q^{31} +(-0.647386 + 0.762162i) q^{32} +(-0.733335 + 0.339277i) q^{33} +(4.15245 + 1.92113i) q^{34} +(-1.97489 - 2.32502i) q^{35} +(-0.856857 - 0.515554i) q^{36} +(6.37265 - 0.693068i) q^{37} +(-0.959556 - 5.85303i) q^{38} +(0.0318945 - 0.0302121i) q^{39} +(3.80618 + 1.28245i) q^{40} +(3.43549 - 2.06706i) q^{41} +(-0.604650 + 0.459643i) q^{42} +(-1.90101 - 4.77116i) q^{43} +(-0.453448 - 0.668785i) q^{44} +(-0.649786 + 3.96352i) q^{45} +(-0.385413 + 7.10852i) q^{46} +(-4.68291 + 1.03079i) q^{47} +(0.370138 - 0.928977i) q^{48} +(-1.71837 - 6.18900i) q^{49} +(-0.602657 - 11.1154i) q^{50} +(-4.54850 - 0.494680i) q^{51} +(0.0349740 + 0.0265866i) q^{52} +(-2.33867 + 8.42313i) q^{53} +(0.976621 + 0.214970i) q^{54} +(-1.82124 + 2.68613i) q^{55} +(-0.551409 - 0.522322i) q^{56} +(2.77821 + 5.24026i) q^{57} -8.47764 q^{58} +(-4.69358 - 6.08032i) q^{59} -4.01643 q^{60} +(-1.52570 - 2.87777i) q^{61} +(2.47645 + 2.34582i) q^{62} +(0.426233 - 0.628647i) q^{63} +(0.976621 + 0.214970i) q^{64} +(0.0472054 - 0.170018i) q^{65} +(0.643255 + 0.488990i) q^{66} +(7.12530 + 0.774923i) q^{67} +(-0.247703 - 4.56861i) q^{68} +(-1.90452 - 6.85947i) q^{69} +(-1.12913 + 2.83390i) q^{70} +(-15.3701 + 3.38321i) q^{71} +(-0.0541389 + 0.998533i) q^{72} +(-0.871827 + 5.31791i) q^{73} +(-3.59734 - 5.30568i) q^{74} +(4.12026 + 10.3411i) q^{75} +(-4.72176 + 3.58939i) q^{76} +(0.525857 - 0.316398i) q^{77} +(-0.0416324 - 0.0140276i) q^{78} +(-0.0990001 + 0.0937778i) q^{79} +(-0.649786 - 3.96352i) q^{80} +(-0.994138 + 0.108119i) q^{81} +(-3.43549 - 2.06706i) q^{82} +(-2.39648 - 2.82135i) q^{83} +(0.689323 + 0.318915i) q^{84} +(-16.6780 + 7.71607i) q^{85} +(-3.32493 + 3.91442i) q^{86} +(8.03386 - 2.70692i) q^{87} +(-0.378481 + 0.713891i) q^{88} +(-6.37807 + 12.0303i) q^{89} +(3.80618 - 1.28245i) q^{90} +(-0.0216016 + 0.0254313i) q^{91} +(6.46099 - 2.98917i) q^{92} +(-3.09584 - 1.43229i) q^{93} +(3.10423 + 3.65458i) q^{94} +(20.4121 + 12.2816i) q^{95} +(-0.994138 + 0.108119i) q^{96} +(-0.451929 - 2.75664i) q^{97} +(-4.66316 + 4.41718i) q^{98} +(-0.765718 - 0.258000i) 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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