LMFDB - Embedded newform 354.2.e.b.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:	$56$
Relative dimension:	$2$ 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.b.205.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.468408 + 0.883512i) q^{2} +(0.725995 - 0.687699i) q^{3} +(-0.561187 - 0.827689i) q^{4} +(-2.36756 + 0.521140i) q^{5} +(0.267528 + 0.963550i) q^{6} +(2.60217 - 1.97812i) q^{7} +(0.994138 - 0.108119i) q^{8} +(0.0541389 - 0.998533i) q^{9} +O(q^{10})$	\(q+(-0.468408 + 0.883512i) q^{2} +(0.725995 - 0.687699i) q^{3} +(-0.561187 - 0.827689i) q^{4} +(-2.36756 + 0.521140i) q^{5} +(0.267528 + 0.963550i) q^{6} +(2.60217 - 1.97812i) q^{7} +(0.994138 - 0.108119i) q^{8} +(0.0541389 - 0.998533i) q^{9} +(0.648553 - 2.33588i) q^{10} +(-0.927348 - 2.32747i) q^{11} +(-0.976621 - 0.214970i) q^{12} +(-0.131941 - 2.43350i) q^{13} +(0.528812 + 3.22561i) q^{14} +(-1.36045 + 2.00652i) q^{15} +(-0.370138 + 0.928977i) q^{16} +(-0.651026 - 0.494897i) q^{17} +(0.856857 + 0.515554i) q^{18} +(5.97215 - 2.01225i) q^{19} +(1.75999 + 1.66715i) q^{20} +(0.528812 - 3.22561i) q^{21} +(2.49072 + 0.270883i) q^{22} +(4.88591 - 2.93976i) q^{23} +(0.647386 - 0.762162i) q^{24} +(0.795892 - 0.368219i) q^{25} +(2.21183 + 1.02330i) q^{26} +(-0.647386 - 0.762162i) q^{27} +(-3.09757 - 1.04369i) q^{28} +(-0.464606 - 0.876340i) q^{29} +(-1.13553 - 2.14185i) q^{30} +(-2.03429 - 0.685432i) q^{31} +(-0.647386 - 0.762162i) q^{32} +(-2.27385 - 1.05199i) q^{33} +(0.742193 - 0.343375i) q^{34} +(-5.12992 + 6.03941i) q^{35} +(-0.856857 + 0.515554i) q^{36} +(2.04670 + 0.222592i) q^{37} +(-1.01956 + 6.21902i) q^{38} +(-1.76931 - 1.67597i) q^{39} +(-2.29734 + 0.774064i) q^{40} +(-4.85172 - 2.91918i) q^{41} +(2.60217 + 1.97812i) q^{42} +(-0.124687 + 0.312940i) q^{43} +(-1.40600 + 2.07370i) q^{44} +(0.392198 + 2.39231i) q^{45} +(0.308707 + 5.69377i) q^{46} +(8.13554 + 1.79077i) q^{47} +(0.370138 + 0.928977i) q^{48} +(0.985634 - 3.54993i) q^{49} +(-0.0474767 + 0.875657i) q^{50} +(-0.812982 + 0.0884171i) q^{51} +(-1.94014 + 1.47485i) q^{52} +(2.07159 + 7.46120i) q^{53} +(0.976621 - 0.214970i) q^{54} +(3.40849 + 5.02715i) q^{55} +(2.37304 - 2.24786i) q^{56} +(2.95193 - 5.56793i) q^{57} +0.991883 q^{58} +(-7.48869 + 1.70866i) q^{59} +2.42424 q^{60} +(-2.20129 + 4.15208i) q^{61} +(1.55847 - 1.47626i) q^{62} +(-1.83434 - 2.70544i) q^{63} +(0.976621 - 0.214970i) q^{64} +(1.58057 + 5.69271i) q^{65} +(1.99454 - 1.51621i) q^{66} +(-9.99052 + 1.08653i) q^{67} +(-0.0442735 + 0.816577i) q^{68} +(1.52548 - 5.49429i) q^{69} +(-2.93299 - 7.36126i) q^{70} +(4.13333 + 0.909814i) q^{71} +(-0.0541389 - 0.998533i) q^{72} +(-0.656455 - 4.00420i) q^{73} +(-1.15536 + 1.70402i) q^{74} +(0.324590 - 0.814660i) q^{75} +(-5.01701 - 3.81383i) q^{76} +(-7.01712 - 4.22206i) q^{77} +(2.30950 - 0.778162i) q^{78} +(4.23142 + 4.00821i) q^{79} +(0.392198 - 2.39231i) q^{80} +(-0.994138 - 0.108119i) q^{81} +(4.85172 - 2.91918i) q^{82} +(-7.54360 + 8.88101i) q^{83} +(-2.96657 + 1.37248i) q^{84} +(1.79926 + 0.832424i) q^{85} +(-0.218082 - 0.256746i) q^{86} +(-0.939961 - 0.316710i) q^{87} +(-1.17356 - 2.21356i) q^{88} +(7.85479 + 14.8157i) q^{89} +(-2.29734 - 0.774064i) q^{90} +(-5.15708 - 6.07138i) q^{91} +(-5.17512 - 2.39426i) q^{92} +(-1.94826 + 0.901359i) q^{93} +(-5.39292 + 6.34903i) q^{94} +(-13.0908 + 7.87646i) q^{95} +(-0.994138 - 0.108119i) q^{96} +(2.14087 - 13.0587i) q^{97} +(2.67473 + 2.53364i) q^{98} +(-2.37426 + 0.799982i) 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 $\left(\mathbb{Z}/354\mathbb{Z}\right)^\times$.

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

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
$5$	−2.36756	+	0.521140i	−1.05881	+	0.233061i	−0.710049	−	0.704152i	$-0.751327\pi$
$5$	−2.36756	+	0.521140i	−1.05881	+	0.233061i	−0.348757	+	0.937213i	$0.613396\pi$
$6$	0.267528	+	0.963550i	0.109218	+	0.393368i
$7$	2.60217	−	1.97812i	0.983527	−	0.747658i	0.0158562	−	0.999874i	$-0.494953\pi$
$7$	2.60217	−	1.97812i	0.983527	−	0.747658i	0.967671	+	0.252216i	$0.0811595\pi$
$8$	0.994138	−	0.108119i	0.351481	−	0.0382258i
$9$	0.0541389	−	0.998533i	0.0180463	−	0.332844i
$10$	0.648553	−	2.33588i	0.205090	−	0.738669i
$11$	−0.927348	−	2.32747i	−0.279606	−	0.701758i	−0.999967	−	0.00815855i	$-0.997403\pi$
$11$	−0.927348	−	2.32747i	−0.279606	−	0.701758i	0.720361	−	0.693600i	$-0.243976\pi$
$12$	−0.976621	−	0.214970i	−0.281926	−	0.0620566i
$13$	−0.131941	−	2.43350i	−0.0365937	−	0.674932i	−0.958077	−	0.286512i	$-0.907504\pi$
$13$	−0.131941	−	2.43350i	−0.0365937	−	0.674932i	0.921483	−	0.388419i	$-0.126979\pi$
$14$	0.528812	+	3.22561i	0.141331	+	0.862081i
$15$	−1.36045	+	2.00652i	−0.351267	+	0.518081i
$16$	−0.370138	+	0.928977i	−0.0925345	+	0.232244i
$17$	−0.651026	−	0.494897i	−0.157897	−	0.120030i	0.523243	−	0.852184i	$-0.324722\pi$
$17$	−0.651026	−	0.494897i	−0.157897	−	0.120030i	−0.681139	+	0.732154i	$0.738515\pi$
$18$	0.856857	+	0.515554i	0.201963	+	0.121517i
$19$	5.97215	−	2.01225i	1.37011	−	0.461642i	0.464428	−	0.885611i	$-0.346260\pi$
$19$	5.97215	−	2.01225i	1.37011	−	0.461642i	0.905677	+	0.423968i	$0.139363\pi$
$20$	1.75999	+	1.66715i	0.393545	+	0.372786i
$21$	0.528812	−	3.22561i	0.115396	−	0.703887i
$22$	2.49072	+	0.270883i	0.531024	+	0.0577524i
$23$	4.88591	−	2.93976i	1.01878	−	0.612982i	0.0948326	−	0.995493i	$-0.469768\pi$
$23$	4.88591	−	2.93976i	1.01878	−	0.612982i	0.923951	+	0.382512i	$0.124941\pi$
$24$	0.647386	−	0.762162i	0.132147	−	0.155576i
$25$	0.795892	−	0.368219i	0.159178	−	0.0736438i
$26$	2.21183	+	1.02330i	0.433775	+	0.200686i
$27$	−0.647386	−	0.762162i	−0.124590	−	0.146678i
$28$	−3.09757	−	1.04369i	−0.585385	−	0.197239i
$29$	−0.464606	−	0.876340i	−0.0862752	−	0.162732i	0.836620	−	0.547784i	$-0.184528\pi$
$29$	−0.464606	−	0.876340i	−0.0862752	−	0.162732i	−0.922895	+	0.385052i	$0.874184\pi$
$30$	−1.13553	−	2.14185i	−0.207319	−	0.391046i
$31$	−2.03429	−	0.685432i	−0.365369	−	0.123107i	0.130628	−	0.991431i	$-0.458301\pi$
$31$	−2.03429	−	0.685432i	−0.365369	−	0.123107i	−0.495997	+	0.868324i	$0.665197\pi$
$32$	−0.647386	−	0.762162i	−0.114443	−	0.134732i
$33$	−2.27385	−	1.05199i	−0.395826	−	0.183129i
$34$	0.742193	−	0.343375i	0.127285	−	0.0588884i
$35$	−5.12992	+	6.03941i	−0.867115	+	1.02085i
$36$	−0.856857	+	0.515554i	−0.142810	+	0.0859256i
$37$	2.04670	+	0.222592i	0.336476	+	0.0365940i	0.274798	−	0.961502i	$-0.411389\pi$
$37$	2.04670	+	0.222592i	0.336476	+	0.0365940i	0.0616785	+	0.998096i	$0.480355\pi$
$38$	−1.01956	+	6.21902i	−0.165394	+	1.00886i
$39$	−1.76931	−	1.67597i	−0.283316	−	0.268371i
$40$	−2.29734	+	0.774064i	−0.363241	+	0.122390i
$41$	−4.85172	−	2.91918i	−0.757712	−	0.455900i	0.0835666	−	0.996502i	$-0.473369\pi$
$41$	−4.85172	−	2.91918i	−0.757712	−	0.455900i	−0.841278	+	0.540602i	$0.818196\pi$
$42$	2.60217	+	1.97812i	0.401523	+	0.305230i
$43$	−0.124687	+	0.312940i	−0.0190145	+	0.0477229i	−0.938177	−	0.346155i	$-0.887487\pi$
$43$	−0.124687	+	0.312940i	−0.0190145	+	0.0477229i	0.919163	+	0.393877i	$0.128867\pi$
$44$	−1.40600	+	2.07370i	−0.211963	+	0.312622i
$45$	0.392198	+	2.39231i	0.0584655	+	0.356624i
$46$	0.308707	+	5.69377i	0.0455164	+	0.839501i
$47$	8.13554	+	1.79077i	1.18669	+	0.261210i	0.764092	−	0.645107i	$-0.223187\pi$
$47$	8.13554	+	1.79077i	1.18669	+	0.261210i	0.422598	+	0.906317i	$0.361118\pi$
$48$	0.370138	+	0.928977i	0.0534248	+	0.134086i
$49$	0.985634	−	3.54993i	0.140805	−	0.507133i
$50$	−0.0474767	+	0.875657i	−0.00671422	+	0.123837i
$51$	−0.812982	+	0.0884171i	−0.113840	+	0.0123809i
$52$	−1.94014	+	1.47485i	−0.269049	+	0.204526i
$53$	2.07159	+	7.46120i	0.284555	+	1.02488i	0.958266	+	0.285880i	$0.0922857\pi$
$53$	2.07159	+	7.46120i	0.284555	+	1.02488i	−0.673710	+	0.738995i	$0.735300\pi$
$54$	0.976621	−	0.214970i	0.132901	−	0.0292538i
$55$	3.40849	+	5.02715i	0.459601	+	0.677861i
$56$	2.37304	−	2.24786i	0.317111	−	0.300384i
$57$	2.95193	−	5.56793i	0.390993	−	0.737490i
$58$	0.991883			0.130241
$59$	−7.48869	+	1.70866i	−0.974944	+	0.222449i
$59$	−7.48869	+	1.70866i	−0.974944	+	0.222449i
$60$	2.42424			0.312968
$61$	−2.20129	+	4.15208i	−0.281846	+	0.531619i	−0.983502	−	0.180898i	$-0.942100\pi$
$61$	−2.20129	+	4.15208i	−0.281846	+	0.531619i	0.701655	+	0.712516i	$0.252445\pi$
$62$	1.55847	−	1.47626i	0.197925	−	0.187485i
$63$	−1.83434	−	2.70544i	−0.231105	−	0.340854i
$64$	0.976621	−	0.214970i	0.122078	−	0.0268713i
$65$	1.58057	+	5.69271i	0.196046	+	0.706093i
$66$	1.99454	−	1.51621i	0.245511	−	0.186633i
$67$	−9.99052	+	1.08653i	−1.22054	+	0.132741i	−0.695618	−	0.718412i	$-0.744869\pi$
$67$	−9.99052	+	1.08653i	−1.22054	+	0.132741i	−0.524918	+	0.851153i	$0.675904\pi$
$68$	−0.0442735	+	0.816577i	−0.00536895	+	0.0990245i
$69$	1.52548	−	5.49429i	0.183646	−	0.661435i
$70$	−2.93299	−	7.36126i	−0.350560	−	0.879839i
$71$	4.13333	+	0.909814i	0.490536	+	0.107975i	0.453349	−	0.891333i	$-0.350229\pi$
$71$	4.13333	+	0.909814i	0.490536	+	0.107975i	0.0371869	+	0.999308i	$0.488160\pi$
$72$	−0.0541389	−	0.998533i	−0.00638033	−	0.117678i
$73$	−0.656455	−	4.00420i	−0.0768323	−	0.468656i	−0.997018	−	0.0771734i	$-0.975410\pi$
$73$	−0.656455	−	4.00420i	−0.0768323	−	0.468656i	0.920185	−	0.391483i	$-0.128038\pi$
$74$	−1.15536	+	1.70402i	−0.134307	+	0.198089i
$75$	0.324590	−	0.814660i	0.0374804	−	0.0940688i
$76$	−5.01701	−	3.81383i	−0.575491	−	0.437477i
$77$	−7.01712	−	4.22206i	−0.799675	−	0.481149i
$78$	2.30950	−	0.778162i	0.261500	−	0.0881095i
$79$	4.23142	+	4.00821i	0.476072	+	0.450959i	0.887720	−	0.460384i	$-0.152288\pi$
$79$	4.23142	+	4.00821i	0.476072	+	0.450959i	−0.411648	+	0.911343i	$0.635047\pi$
$80$	0.392198	−	2.39231i	0.0438491	−	0.267468i
$81$	−0.994138	−	0.108119i	−0.110460	−	0.0120132i
$82$	4.85172	−	2.91918i	0.535783	−	0.322370i
$83$	−7.54360	+	8.88101i	−0.828017	+	0.974817i	−0.999947	−	0.0102919i	$-0.996724\pi$
$83$	−7.54360	+	8.88101i	−0.828017	+	0.974817i	0.171930	+	0.985109i	$0.445000\pi$
$84$	−2.96657	+	1.37248i	−0.323679	+	0.149750i
$85$	1.79926	+	0.832424i	0.195157	+	0.0902891i
$86$	−0.218082	−	0.256746i	−0.0235164	−	0.0276856i
$87$	−0.939961	−	0.316710i	−0.100774	−	0.0339548i
$88$	−1.17356	−	2.21356i	−0.125101	−	0.235966i
$89$	7.85479	+	14.8157i	0.832606	+	1.57046i	0.821280	+	0.570525i	$0.193260\pi$
$89$	7.85479	+	14.8157i	0.832606	+	1.57046i	0.0113254	+	0.999936i	$0.496395\pi$
$90$	−2.29734	−	0.774064i	−0.242161	−	0.0815935i
$91$	−5.15708	−	6.07138i	−0.540609	−	0.636454i
$92$	−5.17512	−	2.39426i	−0.539543	−	0.249619i
$93$	−1.94826	+	0.901359i	−0.202025	+	0.0934666i
$94$	−5.39292	+	6.34903i	−0.556237	+	0.654853i
$95$	−13.0908	+	7.87646i	−1.34309	+	0.808108i
$96$	−0.994138	−	0.108119i	−0.101464	−	0.0110349i
$97$	2.14087	−	13.0587i	0.217373	−	1.32592i	−0.622281	−	0.782794i	$-0.713794\pi$
$97$	2.14087	−	13.0587i	0.217373	−	1.32592i	0.839654	−	0.543121i	$-0.182758\pi$
$98$	2.67473	+	2.53364i	0.270188	+	0.255936i
$99$	−2.37426	+	0.799982i	−0.238622	+	0.0804012i
$100$	−0.751415	−	0.452111i	−0.0751415	−	0.0452111i
$101$	−2.77197	−	2.10720i	−0.275822	−	0.209674i	0.458114	−	0.888894i	$-0.348525\pi$
$101$	−2.77197	−	2.10720i	−0.275822	−	0.209674i	−0.733935	+	0.679220i	$0.762318\pi$
$102$	0.302690	−	0.759695i	0.0299708	−	0.0752210i
$103$	−9.21059	+	13.5846i	−0.907547	+	1.33853i	0.0332096	+	0.999448i	$0.489427\pi$
$103$	−9.21059	+	13.5846i	−0.907547	+	1.33853i	−0.940756	+	0.339083i	$0.889883\pi$
$104$	−0.394275	−	2.40497i	−0.0386618	−	0.235827i
$105$	0.428999	+	7.91243i	0.0418661	+	0.772174i
$106$	−7.56241	−	1.66461i	−0.734527	−	0.161682i
$107$	−7.17189	−	18.0001i	−0.693332	−	1.74013i	−0.672215	−	0.740356i	$-0.734657\pi$
$107$	−7.17189	−	18.0001i	−0.693332	−	1.74013i	−0.0211175	−	0.999777i	$-0.506722\pi$
$108$	−0.267528	+	0.963550i	−0.0257429	+	0.0927176i
$109$	−0.125158	+	2.30840i	−0.0119880	+	0.221105i	0.986401	+	0.164359i	$0.0525554\pi$
$109$	−0.125158	+	2.30840i	−0.0119880	+	0.221105i	−0.998389	+	0.0567464i	$0.981927\pi$
$110$	−6.03812	+	0.656685i	−0.575712	+	0.0626124i
$111$	1.63897	−	1.24592i	0.155565	−	0.118257i
$112$	0.874463	+	3.14953i	0.0826290	+	0.297603i
$113$	6.69713	−	1.47415i	0.630013	−	0.138676i	0.111525	−	0.993762i	$-0.464426\pi$
$113$	6.69713	−	1.47415i	0.630013	−	0.138676i	0.518487	+	0.855085i	$0.326495\pi$
$114$	3.53662	+	5.21613i	0.331235	+	0.488535i
$115$	−10.0357	+	9.50630i	−0.935832	+	0.886467i
$116$	−0.464606	+	0.876340i	−0.0431376	+	0.0813662i
$117$	−2.43707			−0.225308
$118$	1.99814	−	7.41670i	0.183944	−	0.682762i
$119$	−2.67304			−0.245037
$120$	−1.13553	+	2.14185i	−0.103660	+	0.195523i
$121$	3.42882	−	3.24795i	0.311710	−	0.295268i
$122$	−2.63731	−	3.88973i	−0.238770	−	0.352160i
$123$	−5.52985	+	1.21721i	−0.498610	+	0.109752i
$124$	0.574292	+	2.06841i	0.0515730	+	0.185749i
$125$	7.95718	−	6.04889i	0.711711	−	0.541029i
$126$	3.24951	−	0.353406i	0.289490	−	0.0314839i
$127$	−0.901189	+	16.6215i	−0.0799676	+	1.47492i	0.633236	+	0.773959i	$0.281726\pi$
$127$	−0.901189	+	16.6215i	−0.0799676	+	1.47492i	−0.713204	+	0.700957i	$0.752757\pi$
$128$	−0.267528	+	0.963550i	−0.0236464	+	0.0851666i
$129$	0.124687	+	0.312940i	0.0109780	+	0.0275528i
$130$	−5.76993	−	1.27006i	−0.506056	−	0.111391i
$131$	0.306041	+	5.64460i	0.0267389	+	0.493171i	0.980977	+	0.194123i	$0.0621861\pi$
$131$	0.306041	+	5.64460i	0.0267389	+	0.493171i	−0.954238	+	0.299048i	$0.903331\pi$
$132$	0.405330	+	2.47241i	0.0352795	+	0.215195i
$133$	11.5601	−	17.0498i	1.00239	−	1.47841i
$134$	3.71968	−	9.33568i	0.321331	−	0.806480i
$135$	1.92992	+	1.46709i	0.166101	+	0.126267i
$136$	−0.700717	−	0.421608i	−0.0600860	−	0.0361525i
$137$	15.9668	−	5.37983i	1.36413	−	0.459630i	0.460394	−	0.887715i	$-0.347708\pi$
$137$	15.9668	−	5.37983i	1.36413	−	0.459630i	0.903738	+	0.428085i	$0.140812\pi$
$138$	4.13972	+	3.92135i	0.352397	+	0.333808i
$139$	1.48501	−	9.05818i	0.125957	−	0.768305i	−0.846006	−	0.533173i	$-0.821000\pi$
$139$	1.48501	−	9.05818i	0.125957	−	0.768305i	0.971963	−	0.235132i	$-0.0755522\pi$
$140$	7.87760	+	0.856741i	0.665779	+	0.0724078i
$141$	7.13787	−	4.29471i	0.601117	−	0.361680i
$142$	−2.73992	+	3.22568i	−0.229929	+	0.270693i
$143$	−5.54154	+	2.56379i	−0.463407	+	0.214395i
$144$	0.907575	+	0.419889i	0.0756313	+	0.0349908i
$145$	1.55668	+	1.83267i	0.129275	+	0.152195i
$146$	3.84525	+	1.29562i	0.318235	+	0.107226i
$147$	−1.72572	−	3.25506i	−0.142335	−	0.268472i
$148$	−0.964347	−	1.81895i	−0.0792688	−	0.149517i
$149$	2.95545	+	0.995808i	0.242120	+	0.0815797i	0.437745	−	0.899099i	$-0.355777\pi$
$149$	2.95545	+	0.995808i	0.242120	+	0.0815797i	−0.195625	+	0.980679i	$0.562674\pi$
$150$	0.567721	+	0.668373i	0.0463542	+	0.0545724i
$151$	17.4698	+	8.08237i	1.42167	+	0.657734i	0.971896	−	0.235409i	$-0.0756430\pi$
$151$	17.4698	+	8.08237i	1.42167	+	0.657734i	0.449772	+	0.893143i	$0.351505\pi$
$152$	5.71958	−	2.64616i	0.463919	−	0.214632i
$153$	−0.529417	+	0.623278i	−0.0428008	+	0.0503890i
$154$	7.01712	−	4.22206i	0.565456	−	0.340223i
$155$	5.17351	+	0.562654i	0.415547	+	0.0451934i
$156$	−0.394275	+	2.40497i	−0.0315672	+	0.192552i
$157$	5.98797	+	5.67211i	0.477892	+	0.452683i	0.888330	−	0.459205i	$-0.151866\pi$
$157$	5.98797	+	5.67211i	0.477892	+	0.452683i	−0.410438	+	0.911888i	$0.634624\pi$
$158$	−5.52334	+	1.86103i	−0.439413	+	0.148055i
$159$	6.63503	+	3.99217i	0.526192	+	0.316599i
$160$	1.92992	+	1.46709i	0.152574	+	0.115983i
$161$	6.89879	−	17.3146i	0.543700	−	1.36459i
$162$	0.561187	−	0.827689i	0.0440910	−	0.0650294i
$163$	3.94801	+	24.0818i	0.309232	+	1.88623i	0.445065	+	0.895498i	$0.353181\pi$
$163$	3.94801	+	24.0818i	0.309232	+	1.88623i	−0.135833	+	0.990732i	$0.543371\pi$
$164$	0.306547	+	5.65393i	0.0239373	+	0.441497i
$165$	5.93172	+	1.30567i	0.461784	+	0.101646i
$166$	−4.31299	−	10.8248i	−0.334753	−	0.840167i
$167$	5.10707	−	18.3940i	0.395197	−	1.42337i	−0.451965	−	0.892036i	$-0.649277\pi$
$167$	5.10707	−	18.3940i	0.395197	−	1.42337i	0.847162	−	0.531335i	$-0.178310\pi$
$168$	0.176962	−	3.26388i	0.0136529	−	0.251814i
$169$	7.01928	−	0.763393i	0.539944	−	0.0587225i
$170$	−1.57824	+	1.19975i	−0.121046	+	0.0920166i
$171$	−1.68597	−	6.07233i	−0.128930	−	0.464363i
$172$	0.328989	−	0.0724160i	0.0250852	−	0.00552167i
$173$	4.81286	+	7.09844i	0.365915	+	0.539684i	0.965424	−	0.260683i	$-0.0839479\pi$
$173$	4.81286	+	7.09844i	0.365915	+	0.539684i	−0.599509	+	0.800368i	$0.704638\pi$
$174$	0.720103	−	0.682117i	0.0545908	−	0.0517112i
$175$	1.34266	−	2.53253i	0.101496	−	0.191442i
$176$	2.50541			0.188852
$177$	−4.26171	+	6.39045i	−0.320330	+	0.480336i
$178$	−16.7691			−1.25690
$179$	10.2989	−	19.4259i	0.769779	−	1.45196i	−0.118647	−	0.992937i	$-0.537856\pi$
$179$	10.2989	−	19.4259i	0.769779	−	1.45196i	0.888426	−	0.459020i	$-0.151800\pi$
$180$	1.75999	−	1.66715i	0.131182	−	0.124262i
$181$	−7.73586	−	11.4095i	−0.575002	−	0.848064i	0.423320	−	0.905980i	$-0.360865\pi$
$181$	−7.73586	−	11.4095i	−0.575002	−	0.848064i	−0.998321	+	0.0579160i	$0.981554\pi$
$182$	7.77976	−	1.71245i	0.576674	−	0.126936i
$183$	1.25725	+	4.52822i	0.0929388	+	0.334735i
$184$	4.53943	−	3.45078i	0.334651	−	0.254395i
$185$	−4.96170	+	0.539618i	−0.364792	+	0.0396735i
$186$	0.116218	−	2.14351i	0.00852150	−	0.157170i
$187$	−0.548129	+	1.97418i	−0.0400832	+	0.144367i
$188$	−3.08336	−	7.73865i	−0.224877	−	0.564399i
$189$	−3.19225	−	0.702668i	−0.232202	−	0.0511116i
$190$	−0.827116	−	15.2553i	−0.0600053	−	1.10673i
$191$	−0.199387	−	1.21621i	−0.0144271	−	0.0880015i	0.978632	−	0.205622i	$-0.0659217\pi$
$191$	−0.199387	−	1.21621i	−0.0144271	−	0.0880015i	−0.993059	+	0.117620i	$0.962473\pi$
$192$	0.561187	−	0.827689i	0.0405002	−	0.0597333i
$193$	−7.91967	+	19.8769i	−0.570070	+	1.43077i	0.307606	+	0.951514i	$0.400472\pi$
$193$	−7.91967	+	19.8769i	−0.570070	+	1.43077i	−0.877676	+	0.479254i	$0.840907\pi$
$194$	10.5348	+	8.00832i	0.756352	+	0.574964i
$195$	5.06236	+	3.04592i	0.362523	+	0.218123i
$196$	−3.49137	+	1.17638i	−0.249383	+	0.0840270i
$197$	−2.99622	−	2.83817i	−0.213472	−	0.202211i	0.573491	−	0.819212i	$-0.305589\pi$
$197$	−2.99622	−	2.83817i	−0.213472	−	0.202211i	−0.786962	+	0.617001i	$0.788347\pi$
$198$	0.405330	−	2.47241i	0.0288056	−	0.175706i
$199$	25.3953	+	2.76190i	1.80022	+	0.195786i	0.946010	−	0.324137i	$-0.105074\pi$
$199$	25.3953	+	2.76190i	1.80022	+	0.195786i	0.854213	+	0.519923i	$0.174039\pi$
$200$	0.751415	−	0.452111i	0.0531331	−	0.0319691i
$201$	−6.50586	+	7.65929i	−0.458888	+	0.540245i
$202$	3.16015	−	1.46204i	0.222347	−	0.102869i
$203$	−2.94249	−	1.36134i	−0.206522	−	0.0955473i
$204$	0.529417	+	0.623278i	0.0370666	+	0.0436382i
$205$	13.0081	+	4.38293i	0.908523	+	0.306117i
$206$	−7.68785	−	14.5008i	−0.535638	−	1.01032i
$207$	−2.67093	−	5.03790i	−0.185642	−	0.350158i
$208$	2.30950	+	0.778162i	0.160135	+	0.0539558i
$209$	−10.2217	−	12.0339i	−0.707051	−	0.832405i
$210$	−7.19167	−	3.32722i	−0.496273	−	0.229600i
$211$	−23.1539	+	10.7121i	−1.59398	+	0.737454i	−0.997857	−	0.0654385i	$-0.979155\pi$
$211$	−23.1539	+	10.7121i	−1.59398	+	0.737454i	−0.596124	+	0.802892i	$0.703293\pi$
$212$	5.01300	−	5.90176i	0.344295	−	0.405335i
$213$	3.62645	−	2.18197i	0.248481	−	0.149506i
$214$	19.2627	+	2.09494i	1.31677	+	0.143207i
$215$	0.132118	−	0.805884i	0.00901037	−	0.0549608i
$216$	−0.725995	−	0.687699i	−0.0493977	−	0.0467920i
$217$	−6.64943	+	2.24045i	−0.451392	+	0.152092i
$218$	−1.98088	−	1.19185i	−0.134162	−	0.0807225i
$219$	−3.23027	−	2.45559i	−0.218281	−	0.165933i
$220$	2.24812	−	5.64234i	0.151568	−	0.380407i
$221$	−1.11844	+	1.64957i	−0.0752341	+	0.110962i
$222$	0.333072	+	2.03165i	0.0223544	+	0.136356i
$223$	0.955256	+	17.6187i	0.0639687	+	1.17983i	0.837632	+	0.546235i	$0.183940\pi$
$223$	0.955256	+	17.6187i	0.0639687	+	1.17983i	−0.773663	+	0.633597i	$0.781578\pi$
$224$	−3.19225	−	0.702668i	−0.213291	−	0.0469490i
$225$	−0.324590	−	0.814660i	−0.0216393	−	0.0543106i
$226$	−1.83456	+	6.60750i	−0.122033	+	0.439524i
$227$	−0.857402	+	15.8139i	−0.0569078	+	1.04960i	0.821047	+	0.570860i	$0.193390\pi$
$227$	−0.857402	+	15.8139i	−0.0569078	+	1.04960i	−0.877955	+	0.478743i	$0.841093\pi$
$228$	−6.26510	+	0.681371i	−0.414916	+	0.0451249i
$229$	−4.50068	+	3.42133i	−0.297414	+	0.226088i	−0.743229	−	0.669037i	$-0.766707\pi$
$229$	−4.50068	+	3.42133i	−0.297414	+	0.226088i	0.445816	+	0.895125i	$0.352914\pi$
$230$	−3.69814	−	13.3195i	−0.243848	−	0.878261i
$231$	−7.99791	+	1.76047i	−0.526224	+	0.115831i
$232$	−0.556632	−	0.820971i	−0.0365447	−	0.0538994i
$233$	−15.0396	+	14.2462i	−0.985275	+	0.933302i	−0.997778	−	0.0666200i	$-0.978778\pi$
$233$	−15.0396	+	14.2462i	−0.985275	+	0.933302i	0.0125037	+	0.999922i	$0.496020\pi$
$234$	1.14155	−	2.15318i	0.0746252	−	0.140758i
$235$	−20.1946			−1.31735
$236$	5.61680	+	5.23943i	0.365622	+	0.341058i
$237$	5.82844			0.378598
$238$	1.25208	−	2.36166i	0.0811600	−	0.153084i
$239$	11.7631	−	11.1426i	0.760891	−	0.720754i	−0.205267	−	0.978706i	$-0.565806\pi$
$239$	11.7631	−	11.1426i	0.760891	−	0.720754i	0.966158	+	0.257952i	$0.0830477\pi$
$240$	−1.36045	−	2.00652i	−0.0878168	−	0.129520i
$241$	28.1756	−	6.20193i	1.81495	−	0.399501i	0.828028	−	0.560687i	$-0.189463\pi$
$241$	28.1756	−	6.20193i	1.81495	−	0.399501i	0.986924	+	0.161185i	$0.0515317\pi$
$242$	1.26351	+	4.55076i	0.0812217	+	0.292534i
$243$	−0.796093	+	0.605174i	−0.0510694	+	0.0388219i
$244$	4.67196	−	0.508107i	0.299092	−	0.0325282i
$245$	−0.483539	+	8.91835i	−0.0308922	+	0.569772i
$246$	1.51481	−	5.45584i	0.0965806	−	0.347852i
$247$	−5.68478	−	14.2677i	−0.361714	−	0.907834i
$248$	−2.09647	−	0.461468i	−0.133126	−	0.0293033i
$249$	0.630848	+	11.6353i	0.0399783	+	0.737357i
$250$	1.61706	+	9.86361i	0.102272	+	0.623829i
$251$	2.89772	−	4.27382i	0.182902	−	0.269761i	−0.725174	−	0.688566i	$-0.758241\pi$
$251$	2.89772	−	4.27382i	0.182902	−	0.269761i	0.908076	+	0.418805i	$0.137551\pi$
$252$	−1.20986	+	3.03652i	−0.0762141	+	0.191283i
$253$	−11.3731	−	8.64563i	−0.715023	−	0.543546i
$254$	−14.2631	−	8.58184i	−0.894948	−	0.538473i
$255$	1.87871	−	0.633011i	0.117649	−	0.0396407i
$256$	−0.725995	−	0.687699i	−0.0453747	−	0.0429812i
$257$	1.69368	−	10.3310i	0.105649	−	0.644429i	−0.879916	−	0.475130i	$-0.842401\pi$
$257$	1.69368	−	10.3310i	0.105649	−	0.644429i	0.985565	−	0.169300i	$-0.0541506\pi$
$258$	−0.334890	−	0.0364215i	−0.0208494	−	0.00226750i
$259$	5.76618	−	3.46940i	0.358293	−	0.215578i
$260$	3.82479	−	4.50290i	0.237204	−	0.279258i
$261$	−0.900209	+	0.416481i	−0.0557215	+	0.0257795i
$262$	−5.13042	−	2.37359i	−0.316958	−	0.146641i
$263$	−2.94058	−	3.46191i	−0.181324	−	0.213471i	0.663989	−	0.747742i	$-0.268862\pi$
$263$	−2.94058	−	3.46191i	−0.181324	−	0.213471i	−0.845313	+	0.534271i	$0.820586\pi$
$264$	−2.37426	−	0.799982i	−0.146126	−	0.0492355i
$265$	−8.79296	−	16.5853i	−0.540147	−	1.01883i
$266$	9.64889	+	18.1997i	0.591612	+	1.11590i
$267$	15.8913	+	5.35440i	0.972531	+	0.327684i
$268$	6.50586	+	7.65929i	0.397409	+	0.467866i
$269$	−11.7075	−	5.41648i	−0.713821	−	0.330249i	0.0291476	−	0.999575i	$-0.490721\pi$
$269$	−11.7075	−	5.41648i	−0.713821	−	0.330249i	−0.742968	+	0.669326i	$0.766583\pi$
$270$	−2.20018	+	1.01791i	−0.133899	+	0.0619482i
$271$	10.6122	−	12.4936i	0.644645	−	0.758935i	−0.338658	−	0.940909i	$-0.609973\pi$
$271$	10.6122	−	12.4936i	0.644645	−	0.758935i	0.983303	+	0.181975i	$0.0582489\pi$
$272$	0.700717	−	0.421608i	0.0424872	−	0.0255637i
$273$	−7.91930	−	0.861276i	−0.479298	−	0.0521268i
$274$	−2.72582	+	16.6268i	−0.164673	+	1.00446i
$275$	−1.59509	−	1.51095i	−0.0961873	−	0.0911135i
$276$	−5.40364	+	1.82070i	−0.325261	+	0.109593i
$277$	15.8093	+	9.51213i	0.949888	+	0.571528i	0.904053	−	0.427421i	$-0.140578\pi$
$277$	15.8093	+	9.51213i	0.949888	+	0.571528i	0.0458348	+	0.998949i	$0.485405\pi$
$278$	7.30742	+	5.55496i	0.438270	+	0.333164i
$279$	−0.794561	+	1.99420i	−0.0475691	+	0.119389i
$280$	−4.44687	+	6.55865i	−0.265752	+	0.391954i
$281$	2.40168	+	14.6496i	0.143272	+	0.873921i	0.956448	+	0.291903i	$0.0942883\pi$
$281$	2.40168	+	14.6496i	0.143272	+	0.873921i	−0.813176	+	0.582018i	$0.802263\pi$
$282$	0.450993	+	8.31808i	0.0268562	+	0.495334i
$283$	−17.1966	−	3.78526i	−1.02223	−	0.225010i	−0.327936	−	0.944700i	$-0.606353\pi$
$283$	−17.1966	−	3.78526i	−1.02223	−	0.225010i	−0.694296	+	0.719690i	$0.744284\pi$
$284$	−1.56653	−	3.93168i	−0.0929562	−	0.233303i
$285$	−4.08721	+	14.7208i	−0.242105	+	0.871985i
$286$	0.330565	−	6.09692i	0.0195467	−	0.360518i
$287$	−18.3995	+	2.00106i	−1.08609	+	0.118119i
$288$	−0.796093	+	0.605174i	−0.0469102	+	0.0356602i
$289$	−4.36907	−	15.7360i	−0.257004	−	0.925645i
$290$	−2.34835	+	0.516910i	−0.137900	+	0.0303540i
$291$	−7.42623	−	10.9529i	−0.435333	−	0.642069i
$292$	−2.94584	+	2.79045i	−0.172392	+	0.163299i
$293$	1.16153	−	2.19088i	0.0678573	−	0.127993i	−0.847263	−	0.531174i	$-0.821751\pi$
$293$	1.16153	−	2.19088i	0.0678573	−	0.127993i	0.915120	+	0.403182i	$0.132096\pi$
$294$	3.68422			0.214868
$295$	16.8395	−	7.94802i	0.980433	−	0.462752i
$296$	2.05877			0.119664
$297$	−1.17356	+	2.21356i	−0.0680966	+	0.128444i
$298$	−2.26417	+	2.14473i	−0.131160	+	0.124241i
$299$	−7.79855	−	11.5020i	−0.451002	−	0.665178i
$300$	−0.856440	+	0.188517i	−0.0494466	+	0.0108840i
$301$	0.294576	+	1.06097i	0.0169791	+	0.0611531i
$302$	−15.3239	+	11.6489i	−0.881789	+	0.670318i
$303$	−3.46156	+	0.376467i	−0.198861	+	0.0216275i
$304$	−0.341186	+	6.29280i	−0.0195683	+	0.360917i
$305$	3.04788	−	10.9775i	0.174521	−	0.628569i
$306$	−0.302690	−	0.759695i	−0.0173036	−	0.0434289i
$307$	−16.0295	−	3.52835i	−0.914851	−	0.201374i	−0.267493	−	0.963560i	$-0.586195\pi$
$307$	−16.0295	−	3.52835i	−0.914851	−	0.201374i	−0.647358	+	0.762186i	$0.724126\pi$
$308$	0.443364	+	8.17736i	0.0252630	+	0.465948i
$309$	2.65528	+	16.1965i	0.151054	+	0.921386i
$310$	−2.92043	+	4.30731i	−0.165869	+	0.244639i
$311$	−4.50325	+	11.3023i	−0.255356	+	0.640895i	−0.999636	−	0.0269726i	$-0.991413\pi$
$311$	−4.50325	+	11.3023i	−0.255356	+	0.640895i	0.744280	+	0.667867i	$0.232793\pi$
$312$	−1.94014	−	1.47485i	−0.109839	−	0.0834972i
$313$	−26.3493	−	15.8539i	−1.48935	−	0.896113i	−0.999707	−	0.0241909i	$-0.992299\pi$
$313$	−26.3493	−	15.8539i	−1.48935	−	0.896113i	−0.489644	−	0.871922i	$-0.662873\pi$
$314$	−7.81619	+	2.63358i	−0.441093	+	0.148622i
$315$	5.75282	+	5.44937i	0.324135	+	0.307037i
$316$	0.942936	−	5.75165i	0.0530443	−	0.323556i
$317$	7.71057	+	0.838575i	0.433069	+	0.0470991i	0.322058	−	0.946720i	$-0.395626\pi$
$317$	7.71057	+	0.838575i	0.433069	+	0.0470991i	0.111011	+	0.993819i	$0.464591\pi$
$318$	−6.63503	+	3.99217i	−0.372074	+	0.223870i
$319$	−1.60880	+	1.89403i	−0.0900757	+	0.106045i
$320$	−2.20018	+	1.01791i	−0.122994	+	0.0569030i
$321$	−17.5854	−	8.13587i	−0.981521	−	0.454100i
$322$	12.0662	+	14.2055i	0.672426	+	0.791641i
$323$	−4.88388	−	1.64557i	−0.271746	−	0.0915620i
$324$	0.468408	+	0.883512i	0.0260227	+	0.0490840i
$325$	−1.00107	−	1.88822i	−0.0555294	−	0.104740i
$326$	−23.1258	−	7.79200i	−1.28082	−	0.431559i
$327$	1.49662	+	1.76196i	0.0827635	+	0.0974367i
$328$	−5.13890	−	2.37751i	−0.283748	−	0.131276i
$329$	24.7124	−	11.4332i	1.36244	−	0.630331i
$330$	−3.93204	+	4.62916i	−0.216452	+	0.254827i
$331$	−4.06394	+	2.44519i	−0.223375	+	0.134400i	−0.622843	−	0.782347i	$-0.714022\pi$
$331$	−4.06394	+	2.44519i	−0.223375	+	0.134400i	0.399468	+	0.916747i	$0.369195\pi$
$332$	11.5841	+	1.25984i	0.635759	+	0.0691430i
$333$	0.333072	−	2.03165i	0.0182523	−	0.111334i
$334$	13.8591	+	13.1281i	0.758338	+	0.718336i
$335$	23.0869	−	7.77890i	1.26137	−	0.425007i
$336$	2.80079	+	1.68518i	0.152795	+	0.0919339i
$337$	−13.6313	−	10.3623i	−0.742545	−	0.564468i	0.164059	−	0.986451i	$-0.447541\pi$
$337$	−13.6313	−	10.3623i	−0.742545	−	0.564468i	−0.906604	+	0.421982i	$0.861334\pi$
$338$	−2.61342	+	6.55920i	−0.142151	+	0.356773i
$339$	3.84831	−	5.67584i	0.209012	−	0.308269i
$340$	−0.320730	−	1.95637i	−0.0173941	−	0.106099i
$341$	0.291173	+	5.37038i	0.0157679	+	0.290822i
$342$	6.15470	+	1.35475i	0.332808	+	0.0732566i
$343$	4.01163	+	10.0684i	0.216608	+	0.543644i
$344$	−0.0901209	+	0.324586i	−0.00485899	+	0.0175005i
$345$	−0.748381	+	13.8031i	−0.0402915	+	0.743132i
$346$	−8.52594	+	0.927252i	−0.458358	+	0.0498494i
$347$	3.35824	−	2.55286i	0.180280	−	0.137045i	−0.511143	−	0.859496i	$-0.670778\pi$
$347$	3.35824	−	2.55286i	0.180280	−	0.137045i	0.691422	+	0.722451i	$0.256984\pi$
$348$	0.265357	+	0.955729i	0.0142246	+	0.0512324i
$349$	6.11075	−	1.34508i	0.327101	−	0.0720003i	−0.0483842	−	0.998829i	$-0.515407\pi$
$349$	6.11075	−	1.34508i	0.327101	−	0.0720003i	0.375485	+	0.926828i	$0.377476\pi$
$350$	1.60861	+	2.37252i	0.0859838	+	0.126817i
$351$	−1.76931	+	1.67597i	−0.0944385	+	0.0894569i
$352$	−1.17356	+	2.21356i	−0.0625507	+	0.117983i
$353$	−36.2578			−1.92981			−0.964904	−	0.262601i	$-0.915420\pi$
$353$	−36.2578			−1.92981			−0.964904	+	0.262601i	$0.915420\pi$
$354$	−3.64982	−	6.75861i	−0.193986	−	0.359216i
$355$	−10.2601			−0.544547
$356$	7.85479	−	14.8157i	0.416303	−	0.785230i
$357$	−1.94062	+	1.83825i	−0.102708	+	0.0972905i
$358$	12.3389	+	18.1985i	0.652130	+	0.961819i
$359$	−14.3635	+	3.16165i	−0.758078	+	0.166866i	−0.577158	−	0.816632i	$-0.695838\pi$
$359$	−14.3635	+	3.16165i	−0.758078	+	0.166866i	−0.180920	+	0.983498i	$0.557907\pi$
$360$	0.648553	+	2.33588i	0.0341817	+	0.123112i
$361$	16.4917	−	12.5366i	0.867982	−	0.659823i
$362$	13.7040	−	1.49040i	0.720267	−	0.0783337i
$363$	0.255693	−	4.71599i	0.0134204	−	0.247525i
$364$	−2.13113	+	7.67564i	−0.111702	+	0.402313i
$365$	3.64095	+	9.13809i	0.190576	+	0.478310i
$366$	−4.58964	−	1.01026i	−0.239904	−	0.0528069i
$367$	1.41983	+	26.1872i	0.0741146	+	1.36696i	0.765015	+	0.644013i	$0.222732\pi$
$367$	1.41983	+	26.1872i	0.0741146	+	1.36696i	−0.690900	+	0.722950i	$0.742786\pi$
$368$	0.922502	+	5.62702i	0.0480888	+	0.293328i
$369$	−3.17757	+	4.68657i	−0.165418	+	0.243973i
$370$	1.84734	−	4.63649i	0.0960389	−	0.241039i
$371$	20.1498	+	15.3175i	1.04612	+	0.795242i
$372$	1.83938	+	1.10672i	0.0953675	+	0.0573807i
$373$	6.24153	−	2.10302i	0.323174	−	0.108890i	−0.153038	−	0.988220i	$-0.548906\pi$
$373$	6.24153	−	2.10302i	0.323174	−	0.108890i	0.476213	+	0.879330i	$0.342009\pi$
$374$	−1.48747	−	1.40900i	−0.0769151	−	0.0728578i
$375$	1.61706	−	9.86361i	0.0835045	−	0.509355i
$376$	8.28146	+	0.900663i	0.427084	+	0.0464482i
$377$	−2.07127	+	1.24624i	−0.106676	+	0.0641849i
$378$	2.11609	−	2.49126i	0.108840	−	0.128137i
$379$	10.8971	−	5.04154i	0.559747	−	0.258967i	−0.119552	−	0.992828i	$-0.538146\pi$
$379$	10.8971	−	5.04154i	0.559747	−	0.258967i	0.679299	+	0.733861i	$0.262284\pi$
$380$	13.8656	+	6.41493i	0.711292	+	0.329079i
$381$	10.7763	+	12.6868i	0.552087	+	0.649967i
$382$	1.16793	+	0.393520i	0.0597563	+	0.0201342i
$383$	0.0703707	+	0.132733i	0.00359578	+	0.00678235i	0.885303	−	0.465014i	$-0.153951\pi$
$383$	0.0703707	+	0.132733i	0.00359578	+	0.00678235i	−0.881708	+	0.471796i	$0.843606\pi$
$384$	0.468408	+	0.883512i	0.0239034	+	0.0450865i
$385$	18.8138	+	6.33909i	0.958838	+	0.323070i
$386$	−13.8518	−	16.3076i	−0.705039	−	0.830036i
$387$	0.305730	+	0.141446i	0.0155411	+	0.00719010i
$388$	−12.0100	+	5.55642i	−0.609716	+	0.282085i
$389$	3.17913	−	3.74276i	0.161188	−	0.189766i	−0.675639	−	0.737233i	$-0.736132\pi$
$389$	3.17913	−	3.74276i	0.161188	−	0.189766i	0.836827	+	0.547467i	$0.184408\pi$
$390$	−5.06236	+	3.04592i	−0.256343	+	0.154236i
$391$	−4.63573	−	0.504166i	−0.234439	−	0.0254968i
$392$	0.596041	−	3.63569i	0.0301046	−	0.183630i
$393$	4.10397	+	3.88749i	0.207018	+	0.196098i
$394$	3.91101	−	1.31777i	0.197034	−	0.0663884i
$395$	−12.1070	−	7.28453i	−0.609169	−	0.366525i
$396$	1.99454	+	1.51621i	0.100229	+	0.0761924i
$397$	−10.8402	+	27.2069i	−0.544056	+	1.36548i	0.357945	+	0.933743i	$0.383478\pi$
$397$	−10.8402	+	27.2069i	−0.544056	+	1.36548i	−0.902001	+	0.431734i	$0.857902\pi$
$398$	−14.3355	+	21.1433i	−0.718575	+	1.05982i
$399$	−3.33260	−	20.3280i	−0.166839	−	1.01767i
$400$	0.0474767	+	0.875657i	0.00237384	+	0.0437828i
$401$	8.35855	+	1.83986i	0.417406	+	0.0918781i	0.418708	−	0.908121i	$-0.362483\pi$
$401$	8.35855	+	1.83986i	0.417406	+	0.0918781i	−0.00130141	+	0.999999i	$0.500414\pi$
$402$	−3.71968	−	9.33568i	−0.185521	−	0.465622i
$403$	−1.39959	+	5.04088i	−0.0697187	+	0.251104i
$404$	−0.188510	+	3.47686i	−0.00937873	+	0.172980i
$405$	2.41003	−	0.262107i	0.119755	−	0.0130242i
$406$	2.58105	−	1.96206i	0.128095	−	0.0973754i
$407$	−1.37993	−	4.97006i	−0.0684006	−	0.246357i
$408$	−0.798657	+	0.175798i	−0.0395394	+	0.00870328i
$409$	−3.10452	−	4.57882i	−0.153508	−	0.226408i	0.743157	−	0.669117i	$-0.233328\pi$
$409$	−3.10452	−	4.57882i	−0.153508	−	0.226408i	−0.896665	+	0.442709i	$0.854017\pi$
$410$	−9.96546	+	9.43978i	−0.492159	+	0.466198i
$411$	7.89209	−	14.8861i	0.389288	−	0.734275i
$412$	16.4127			0.808596
$413$	−16.1069	+	19.2597i	−0.792569	+	0.947709i
$414$	5.70213			0.280245
$415$	13.2317	−	24.9576i	0.649518	−	1.22512i
$416$	−1.76931	+	1.67597i	−0.0867473	+	0.0821714i
$417$	−5.15119	−	7.59744i	−0.252255	−	0.372048i
$418$	15.4201	−	3.39421i	0.754220	−	0.166016i
$419$	1.38305	+	4.98129i	0.0675663	+	0.243352i	0.989620	−	0.143711i	$-0.0459035\pi$
$419$	1.38305	+	4.98129i	0.0675663	+	0.243352i	−0.922053	+	0.387063i	$0.873490\pi$
$420$	6.30828	−	4.79543i	0.307813	−	0.233993i
$421$	6.15328	−	0.669210i	0.299893	−	0.0326153i	0.0430643	−	0.999072i	$-0.486288\pi$
$421$	6.15328	−	0.669210i	0.299893	−	0.0326153i	0.256828	+	0.966457i	$0.417322\pi$
$422$	1.38118	−	25.4744i	0.0672349	−	1.24007i
$423$	2.22859	−	8.02665i	0.108358	−	0.390269i
$424$	2.86615	+	7.19349i	0.139192	+	0.349347i
$425$	−0.700376	−	0.154165i	−0.0339732	−	0.00747808i
$426$	0.229131	+	4.22607i	0.0111014	+	0.204754i
$427$	2.48516	+	15.1588i	0.120265	+	0.733586i
$428$	−10.8737	+	16.0375i	−0.525600	+	0.775202i
$429$	−2.26002	+	5.67221i	−0.109115	+	0.273857i
$430$	0.650123	+	0.494211i	0.0313517	+	0.0238329i
$431$	17.7147	+	10.6586i	0.853287	+	0.513406i	0.873745	−	0.486385i	$-0.161685\pi$
$431$	17.7147	+	10.6586i	0.853287	+	0.513406i	−0.0204573	+	0.999791i	$0.506512\pi$
$432$	0.947653	−	0.319302i	0.0455940	−	0.0153624i
$433$	−18.2780	−	17.3138i	−0.878383	−	0.832049i	0.108398	−	0.994108i	$-0.465428\pi$
$433$	−18.2780	−	17.3138i	−0.878383	−	0.832049i	−0.986781	+	0.162059i	$0.948187\pi$
$434$	1.13518	−	6.92429i	0.0544904	−	0.332377i
$435$	2.39047	+	0.259979i	0.114614	+	0.0124650i
$436$	1.98088	−	1.19185i	0.0948668	−	0.0570795i
$437$	23.2639	−	27.3884i	1.11286	−	1.31016i
$438$	3.68263	−	1.70376i	0.175963	−	0.0814090i
$439$	−34.1066	−	15.7794i	−1.62782	−	0.753109i	−0.628130	−	0.778108i	$-0.716179\pi$
$439$	−34.1066	−	15.7794i	−1.62782	−	0.753109i	−0.999687	+	0.0249999i	$0.992041\pi$
$440$	3.93204	+	4.62916i	0.187453	+	0.220686i
$441$	−3.49137	−	1.17638i	−0.166256	−	0.0560180i
$442$	−0.933529	−	1.76082i	−0.0444034	−	0.0837538i
$443$	15.6389	+	29.4982i	0.743029	+	1.40150i	0.909606	+	0.415472i	$0.136384\pi$
$443$	15.6389	+	29.4982i	0.743029	+	1.40150i	−0.166577	+	0.986028i	$0.553272\pi$
$444$	−1.95100	−	0.657369i	−0.0925905	−	0.0311974i
$445$	−26.3178	−	30.9837i	−1.24758	−	1.46877i
$446$	−16.0137	−	7.40875i	−0.758273	−	0.350814i
$447$	2.83046	−	1.30951i	0.133876	−	0.0619377i
$448$	2.11609	−	2.49126i	0.0999760	−	0.117701i
$449$	−18.0040	+	10.8327i	−0.849662	+	0.511225i	−0.872557	−	0.488513i	$-0.837539\pi$
$449$	−18.0040	+	10.8327i	−0.849662	+	0.511225i	0.0228945	+	0.999738i	$0.492712\pi$
$450$	0.871802	+	0.0948142i	0.0410972	+	0.00446958i
$451$	−2.29507	+	13.9993i	−0.108071	+	0.659203i
$452$	−4.97848	−	4.71587i	−0.234168	−	0.221816i
$453$	18.2412	−	6.14618i	0.857047	−	0.288773i
$454$	−13.5701	−	8.16487i	−0.636877	−	0.383196i
$455$	15.3738	+	11.6868i	0.720733	+	0.547887i
$456$	2.33263	−	5.85445i	0.109235	−	0.274160i
$457$	−12.1446	+	17.9119i	−0.568099	+	0.837883i	−0.997882	−	0.0650493i	$-0.979280\pi$
$457$	−12.1446	+	17.9119i	−0.568099	+	0.837883i	0.429784	+	0.902932i	$0.358590\pi$
$458$	−0.914629	−	5.57899i	−0.0427378	−	0.260689i
$459$	0.0442735	+	0.816577i	0.00206651	+	0.0381145i
$460$	13.5002	+	2.97161i	0.629448	+	0.138552i
$461$	−6.16634	−	15.4764i	−0.287195	−	0.720806i	−0.999815	−	0.0192547i	$-0.993871\pi$
$461$	−6.16634	−	15.4764i	−0.287195	−	0.720806i	0.712619	−	0.701551i	$-0.247509\pi$
$462$	2.19089	−	7.89087i	0.101929	−	0.367116i
$463$	−0.0785894	+	1.44950i	−0.00365236	+	0.0673638i	−0.999791	−	0.0204262i	$-0.993498\pi$
$463$	−0.0785894	+	1.44950i	−0.00365236	+	0.0673638i	0.996139	+	0.0877900i	$0.0279804\pi$
$464$	0.986068	−	0.107241i	0.0457771	−	0.00497856i
$465$	4.14288	−	3.14934i	0.192122	−	0.146047i
$466$	−5.54206	−	19.9607i	−0.256731	−	0.924661i
$467$	−16.2884	+	3.58535i	−0.753738	+	0.165910i	−0.575189	−	0.818021i	$-0.695071\pi$
$467$	−16.2884	+	3.58535i	−0.753738	+	0.165910i	−0.178549	+	0.983931i	$0.557140\pi$
$468$	1.36765	+	2.01714i	0.0632199	+	0.0932423i
$469$	−23.8477	+	22.5898i	−1.10119	+	1.04310i
$470$	9.45934	−	17.8422i	0.436327	−	0.822999i
$471$	8.24794			0.380045
$472$	−7.26005	+	2.50832i	−0.334171	+	0.115455i
$473$	0.843985			0.0388065
$474$	−2.73009	+	5.14949i	−0.125397	+	0.236524i
$475$	4.01224	−	3.80059i	0.184094	−	0.174383i
$476$	1.50008	+	2.21245i	0.0687559	+	0.101407i
$477$	7.56241	−	1.66461i	0.346259	−	0.0762174i
$478$	4.33468	+	15.6121i	0.198264	+	0.714081i
$479$	14.5136	−	11.0330i	0.663144	−	0.504109i	−0.218614	−	0.975812i	$-0.570153\pi$
$479$	14.5136	−	11.0330i	0.663144	−	0.504109i	0.881758	+	0.471702i	$0.156360\pi$
$480$	2.41003	−	0.262107i	0.110002	−	0.0119635i
$481$	0.271636	−	5.01002i	0.0123855	−	0.228437i
$482$	−7.71823	+	27.7985i	−0.351556	+	1.26619i
$483$	−6.89879	−	17.3146i	−0.313906	−	0.787844i
$484$	−4.61250	−	1.01529i	−0.209659	−	0.0461494i
$485$	1.73678	+	32.0331i	0.0788633	+	1.45455i
$486$	−0.161782	−	0.986827i	−0.00733858	−	0.0447634i
$487$	10.0524	−	14.8262i	0.455518	−	0.671839i	−0.528698	−	0.848810i	$-0.677320\pi$
$487$	10.0524	−	14.8262i	0.455518	−	0.671839i	0.984216	+	0.176971i	$0.0566299\pi$
$488$	−1.73947	+	4.36574i	−0.0787421	+	0.197628i
$489$	19.4273	+	14.7682i	0.878531	+	0.667842i
$490$	−7.65297	−	4.60464i	−0.345726	−	0.208016i
$491$	22.4770	−	7.57340i	1.01437	−	0.341783i	0.237466	−	0.971396i	$-0.423683\pi$
$491$	22.4770	−	7.57340i	1.01437	−	0.341783i	0.776909	+	0.629613i	$0.216787\pi$
$492$	4.11075	+	3.89391i	0.185327	+	0.175551i
$493$	−0.131228	+	0.800452i	−0.00591019	+	0.0360506i
$494$	15.2685	+	1.66055i	0.686963	+	0.0747117i
$495$	5.20431	−	3.13133i	0.233916	−	0.140743i
$496$	1.38972	−	1.63610i	0.0624002	−	0.0734632i
$497$	12.5553	−	5.80871i	0.563183	−	0.260556i
$498$	−10.5754	−	4.89271i	−0.473896	−	0.219248i
$499$	−12.9027	−	15.1902i	−0.577604	−	0.680008i	0.393319	−	0.919402i	$-0.371327\pi$
$499$	−12.9027	−	15.1902i	−0.577604	−	0.680008i	−0.970922	+	0.239395i	$0.923051\pi$
$500$	−9.47206	−	3.19151i	−0.423603	−	0.142729i
$501$	−8.94184	−	16.8661i	−0.399492	−	0.753522i
$502$	2.41865	+	4.56206i	0.107950	+	0.203615i
$503$	−9.08069	−	3.05964i	−0.404888	−	0.136423i	0.109487	−	0.993988i	$-0.465079\pi$
$503$	−9.08069	−	3.05964i	−0.404888	−	0.136423i	−0.514374	+	0.857566i	$0.671976\pi$
$504$	−2.11609	−	2.49126i	−0.0942583	−	0.110969i
$505$	7.66096	+	3.54434i	0.340908	+	0.157721i
$506$	12.9658	−	5.99861i	0.576400	−	0.266671i
$507$	4.57098	−	5.38137i	0.203004	−	0.238995i
$508$	14.2631	−	8.58184i	0.632824	−	0.380758i
$509$	−5.83509	−	0.634604i	−0.258636	−	0.0281283i	−0.0221175	−	0.999755i	$-0.507041\pi$
$509$	−5.83509	−	0.634604i	−0.258636	−	0.0281283i	−0.236518	+	0.971627i	$0.576006\pi$
$510$	−0.320730	+	1.95637i	−0.0142022	+	0.0866295i
$511$	−9.62898	−	9.12106i	−0.425961	−	0.403492i
$512$	0.947653	−	0.319302i	0.0418807	−	0.0141113i
$513$	−5.39995	−	3.24904i	−0.238414	−	0.143449i
$514$	8.33422	+	6.33551i	0.367607	+	0.279447i
$515$	14.7272	−	36.9624i	0.648957	−	1.62876i
$516$	0.189044	−	0.278819i	0.00832221	−	0.0122743i
$517$	−3.37652	−	20.5959i	−0.148499	−	0.905805i
$518$	0.364325	+	6.71959i	0.0160075	+	0.295242i
$519$	8.37571	+	1.84363i	0.367653	+	0.0809265i
$520$	2.18680	+	5.48845i	0.0958974	+	0.240684i
$521$	−8.53782	+	30.7505i	−0.374049	+	1.34720i	0.501953	+	0.864895i	$0.332615\pi$
$521$	−8.53782	+	30.7505i	−0.374049	+	1.34720i	−0.876002	+	0.482307i	$0.839799\pi$
$522$	0.0536995	−	0.990428i	0.00235036	−	0.0433499i
$523$	−26.6595	+	2.89940i	−1.16574	+	0.126782i	−0.670455	−	0.741950i	$-0.733901\pi$
$523$	−26.6595	+	2.89940i	−1.16574	+	0.126782i	−0.495283	+	0.868732i	$0.664936\pi$
$524$	4.50022	−	3.42098i	0.196593	−	0.149446i
$525$	−0.766854	−	2.76196i	−0.0334682	−	0.120542i
$526$	4.43603	−	0.976445i	0.193420	−	0.0425750i
$527$	0.985156	+	1.45300i	0.0429141	+	0.0632935i
$528$	1.81892	−	1.72297i	0.0791582	−	0.0749826i
$529$	4.45659	−	8.40601i	0.193765	−	0.365479i
$530$	18.7720			0.815403
$531$	1.30073	+	7.57021i	0.0564467	+	0.328519i
$532$	−20.5993			−0.893094
$533$	−6.46370	+	12.1918i	−0.279974	+	0.528087i
$534$	−12.1743	+	11.5321i	−0.526833	+	0.499043i
$535$	26.3605	+	38.8788i	1.13966	+	1.68088i
$536$	−9.81448	+	2.16033i	−0.423921	+	0.0933120i
$537$	−5.88217	−	21.1857i	−0.253834	−	0.914229i
$538$	10.2694	−	7.80662i	0.442747	−	0.336567i
$539$	−9.17638	+	0.997992i	−0.395255	+	0.0429866i
$540$	0.131246	−	2.42069i	0.00564792	−	0.104170i
$541$	6.86924	−	24.7408i	0.295332	−	1.06369i	−0.655808	−	0.754927i	$-0.727672\pi$
$541$	6.86924	−	24.7408i	0.295332	−	1.06369i	0.951140	−	0.308761i	$-0.0999142\pi$
$542$	6.06744	+	15.2281i	0.260619	+	0.654104i
$543$	−13.4625	−	2.96333i	−0.577733	−	0.127169i
$544$	0.0442735	+	0.816577i	0.00189821	+	0.0350104i
$545$	−0.906682	−	5.53051i	−0.0388380	−	0.236901i
$546$	4.47042	−	6.59337i	0.191316	−	0.282170i
$547$	9.94900	−	24.9701i	0.425389	−	1.06764i	−0.547590	−	0.836747i	$-0.684454\pi$
$547$	9.94900	−	24.9701i	0.425389	−	1.06764i	0.972978	−	0.230898i	$-0.0741662\pi$
$548$	−13.4132	−	10.1964i	−0.572982	−	0.435570i
$549$	4.02681	+	2.42285i	0.171860	+	0.103405i
$550$	2.08209	−	0.701538i	0.0887807	−	0.0299137i
$551$	−4.53812	−	4.29873i	−0.193330	−	0.183132i
$552$	0.922502	−	5.62702i	0.0392643	−	0.239502i
$553$	18.9396	+	2.05980i	0.805392	+	0.0875917i
$554$	−15.8093	+	9.51213i	−0.671672	+	0.404132i
$555$	−3.23108	+	3.80392i	−0.137152	+	0.161467i
$556$	−8.33073	+	3.85420i	−0.353302	+	0.163455i
$557$	−3.90005	−	1.80435i	−0.165250	−	0.0764529i	0.335520	−	0.942033i	$-0.391088\pi$
$557$	−3.90005	−	1.80435i	−0.165250	−	0.0764529i	−0.500771	+	0.865580i	$0.666950\pi$
$558$	−1.38972	−	1.63610i	−0.0588315	−	0.0692617i
$559$	0.777990	+	0.262135i	0.0329055	+	0.0110871i
$560$	−3.71169	−	7.00099i	−0.156848	−	0.295846i
$561$	0.959706	+	1.81020i	0.0405188	+	0.0764266i
$562$	−14.0680	−	4.74008i	−0.593425	−	0.199948i
$563$	−0.522610	−	0.615264i	−0.0220254	−	0.0259303i	0.751039	−	0.660258i	$-0.229553\pi$
$563$	−0.522610	−	0.615264i	−0.0220254	−	0.0259303i	−0.773064	+	0.634327i	$0.781277\pi$
$564$	−7.56037	−	3.49780i	−0.318349	−	0.147284i
$565$	−15.0876	+	6.98029i	−0.634742	+	0.293663i
$566$	11.3994	−	13.4204i	0.479151	−	0.564100i
$567$	−2.80079	+	1.68518i	−0.117622	+	0.0707708i
$568$	4.20746	+	0.457589i	0.176541	+	0.0192000i
$569$	−0.397197	+	2.42279i	−0.0166513	+	0.101569i	−0.993845	−	0.110783i	$-0.964664\pi$
$569$	−0.397197	+	2.42279i	−0.0166513	+	0.101569i	0.977193	+	0.212352i	$0.0681123\pi$
$570$	−11.0915	−	10.5064i	−0.464573	−	0.440067i
$571$	33.8369	−	11.4010i	1.41603	−	0.477116i	0.495779	−	0.868449i	$-0.334882\pi$
$571$	33.8369	−	11.4010i	1.41603	−	0.477116i	0.920249	+	0.391333i	$0.127986\pi$
$572$	5.23186	+	3.14791i	0.218755	+	0.131621i
$573$	−0.981137	−	0.745841i	−0.0409876	−	0.0311580i
$574$	6.85051	−	17.1935i	0.285935	−	0.717642i
$575$	2.80618	−	4.13881i	0.117026	−	0.172600i
$576$	−0.161782	−	0.986827i	−0.00674092	−	0.0411178i
$577$	−0.411999	−	7.59887i	−0.0171517	−	0.316345i	−0.994502	−	0.104717i	$-0.966606\pi$
$577$	−0.411999	−	7.59887i	−0.0171517	−	0.316345i	0.977350	−	0.211628i	$-0.0678765\pi$
$578$	15.9494	+	3.51073i	0.663409	+	0.146027i
$579$	7.91967	+	19.8769i	0.329130	+	0.826054i
$580$	0.643289	−	2.31692i	0.0267111	−	0.0962047i
$581$	−2.06203	+	38.0320i	−0.0855476	+	1.57783i
$582$	13.1555	−	1.43075i	0.545313	−	0.0593064i
$583$	15.4446	−	11.7407i	0.639651	−	0.486250i
$584$	−1.08554	−	3.90975i	−0.0449199	−	0.161787i
$585$	5.76993	−	1.27006i	0.238557	−	0.0525104i
$586$	1.39160	+	2.05245i	0.0574864	+	0.0847860i
$587$	−27.7602	+	26.2959i	−1.14579	+	1.08535i	−0.150478	+	0.988613i	$0.548081\pi$
$587$	−27.7602	+	26.2959i	−1.14579	+	1.08535i	−0.995310	+	0.0967345i	$0.969160\pi$
$588$	−1.72572	+	3.25506i	−0.0711675	+	0.134236i
$589$	−13.5283			−0.557426
$590$	−0.865590	+	18.6008i	−0.0356358	+	0.765784i
$591$	−4.12705			−0.169764
$592$	−0.964347	+	1.81895i	−0.0396344	+	0.0747584i
$593$	24.4613	−	23.1710i	1.00451	−	0.951519i	0.00568121	−	0.999984i	$-0.498192\pi$
$593$	24.4613	−	23.1710i	1.00451	−	0.951519i	0.998825	+	0.0484652i	$0.0154330\pi$
$594$	−1.40600	−	2.07370i	−0.0576891	−	0.0850850i
$595$	6.32860	−	1.39303i	0.259447	−	0.0571086i
$596$	−0.834342	−	3.00503i	−0.0341760	−	0.123091i
$597$	20.3362	−	15.4592i	0.832306	−	0.632702i
$598$	13.8151	−	1.50248i	0.564940	−	0.0614409i
$599$	0.653482	−	12.0528i	0.0267005	−	0.492462i	−0.954348	−	0.298698i	$-0.903448\pi$
$599$	0.653482	−	12.0528i	0.0267005	−	0.492462i	0.981048	−	0.193764i	$-0.0620697\pi$
$600$	0.234607	−	0.844978i	0.00957779	−	0.0344961i
$601$	1.89651	+	4.75989i	0.0773604	+	0.194160i	0.962570	−	0.271032i	$-0.0873648\pi$
$601$	1.89651	+	4.75989i	0.0773604	+	0.194160i	−0.885210	+	0.465191i	$0.845985\pi$
$602$	−1.07536	−	0.236704i	−0.0438283	−	0.00964734i
$603$	0.544065	+	10.0347i	0.0221560	+	0.408644i
$604$	−3.11411	−	18.9952i	−0.126711	−	0.772906i
$605$	−6.42530	+	9.47661i	−0.261226	+	0.385279i
$606$	1.28881	−	3.23467i	0.0523543	−	0.131399i
$607$	−15.8314	−	12.0348i	−0.642579	−	0.488476i	0.232411	−	0.972618i	$-0.425339\pi$
$607$	−15.8314	−	12.0348i	−0.642579	−	0.488476i	−0.874989	+	0.484142i	$0.839132\pi$
$608$	−5.39995	−	3.24904i	−0.218997	−	0.131766i
$609$	−3.07243	+	1.03522i	−0.124501	+	0.0419493i
$610$	8.27108	+	7.83479i	0.334886	+	0.317221i
$611$	3.28442	−	20.0341i	0.132874	−	0.810493i
$612$	0.812982	+	0.0884171i	0.0328629	+	0.00357405i
$613$	1.30218	−	0.783493i	0.0525944	−	0.0316450i	−0.489014	−	0.872276i	$-0.662643\pi$
$613$	1.30218	−	0.783493i	0.0525944	−	0.0316450i	0.541608	+	0.840631i	$0.317816\pi$
$614$	10.6257	−	12.5095i	0.428818	−	0.504843i
$615$	12.4579	−	5.76365i	0.502352	−	0.232413i
$616$	−7.43247	−	3.43863i	−0.299463	−	0.138546i
$617$	17.2322	+	20.2874i	0.693743	+	0.816738i	0.990398	−	0.138247i	$-0.0441468\pi$
$617$	17.2322	+	20.2874i	0.693743	+	0.816738i	−0.296654	+	0.954985i	$0.595871\pi$
$618$	−15.5535	−	5.24060i	−0.625655	−	0.210808i
$619$	8.64398	+	16.3043i	0.347431	+	0.655324i	0.994222	−	0.107343i	$-0.0342342\pi$
$619$	8.64398	+	16.3043i	0.347431	+	0.655324i	−0.646791	+	0.762667i	$0.723889\pi$
$620$	−2.43761	−	4.59781i	−0.0978967	−	0.184653i
$621$	−5.40364	−	1.82070i	−0.216841	−	0.0730622i
$622$	−7.87636	−	9.27277i	−0.315813	−	0.371804i
$623$	49.7467	+	23.0153i	1.99306	+	0.922087i
$624$	2.21183	−	1.02330i	0.0885440	−	0.0409648i
$625$	−18.5254	+	21.8098i	−0.741016	+	0.872392i
$626$	26.3493	−	15.8539i	1.05313	−	0.633648i
$627$	−15.6967	−	1.70711i	−0.626864	−	0.0681756i
$628$	1.33437	−	8.13929i	0.0532471	−	0.324793i
$629$	−1.22230	−	1.15782i	−0.0487362	−	0.0461653i
$630$	−7.50925	+	2.53016i	−0.299176	+	0.100804i
$631$	40.6418	+	24.4534i	1.61792	+	0.973472i	0.978914	+	0.204274i	$0.0654834\pi$
$631$	40.6418	+	24.4534i	1.61792	+	0.973472i	0.639010	+	0.769198i	$0.279344\pi$
$632$	4.63998	+	3.52722i	0.184568	+	0.140305i
$633$	−9.44290	+	23.6999i	−0.375322	+	0.941986i
$634$	−4.35259	+	6.41959i	−0.172863	+	0.254954i
$635$	−6.52848	−	39.8220i	−0.259075	−	1.58029i
$636$	−0.419222	−	7.73210i	−0.0166232	−	0.306598i
$637$	−8.76881	−	1.93016i	−0.347433	−	0.0764758i
$638$	−0.919821	−	2.30858i	−0.0364161	−	0.0913974i
$639$	1.13225	−	4.07801i	0.0447912	−	0.161323i
$640$	0.131246	−	2.42069i	0.00518794	−	0.0956860i
$641$	−5.18822	+	0.564253i	−0.204922	+	0.0222866i	−0.210004	−	0.977700i	$-0.567348\pi$
$641$	−5.18822	+	0.564253i	−0.204922	+	0.0222866i	0.00508212	+	0.999987i	$0.498382\pi$
$642$	15.4253	−	11.7260i	0.608788	−	0.462788i
$643$	−7.28581	−	26.2411i	−0.287324	−	1.03485i	−0.956497	−	0.291742i	$-0.905765\pi$
$643$	−7.28581	−	26.2411i	−0.287324	−	1.03485i	0.669173	−	0.743107i	$-0.266649\pi$
$644$	−18.2027	+	4.00671i	−0.717285	+	0.157886i
$645$	−0.458289	−	0.675925i	−0.0180451	−	0.0266145i
$646$	3.74153	−	3.54417i	0.147209	−	0.139443i
$647$	−11.2250	+	21.1726i	−0.441300	+	0.832380i	0.558695	+	0.829373i	$0.311302\pi$
$647$	−11.2250	+	21.1726i	−0.441300	+	0.832380i	−0.999995	+	0.00300736i	$0.999043\pi$
$648$	−1.00000			−0.0392837
$649$	10.9215	+	15.8452i	0.428706	+	0.621977i
$650$	2.13718			0.0838269
$651$	−3.28670	+	6.19936i	−0.128816	+	0.242972i
$652$	17.7166	−	16.7821i	0.693838	−	0.657238i
$653$	23.4792	+	34.6292i	0.918813	+	1.35515i	0.934762	+	0.355274i	$0.115613\pi$
$653$	23.4792	+	34.6292i	0.918813	+	1.35515i	−0.0159494	+	0.999873i	$0.505077\pi$
$654$	−2.25774	+	0.496967i	−0.0882848	+	0.0194330i
$655$	−3.66620	−	13.2044i	−0.143250	−	0.515941i
$656$	4.50766	−	3.42664i	0.175995	−	0.133788i
$657$	−4.03387	+	0.438710i	−0.157376	+	0.0171157i
$658$	−1.47415	+	27.1891i	−0.0574683	+	1.05994i
$659$	−6.22641	+	22.4255i	−0.242546	+	0.873573i	0.737590	+	0.675249i	$0.235964\pi$
$659$	−6.22641	+	22.4255i	−0.242546	+	0.873573i	−0.980136	+	0.198324i	$0.936450\pi$
$660$	−2.24812	−	5.64234i	−0.0875078	−	0.219628i
$661$	−32.6856	−	7.19464i	−1.27132	−	0.279839i	−0.472460	−	0.881352i	$-0.656634\pi$
$661$	−32.6856	−	7.19464i	−1.27132	−	0.279839i	−0.798863	+	0.601513i	$0.794565\pi$
$662$	−0.256773	−	4.73589i	−0.00997975	−	0.184066i
$663$	0.322428	+	1.96673i	0.0125221	+	0.0763813i
$664$	−6.53917	+	9.64455i	−0.253769	+	0.374281i
$665$	−18.4838	+	46.3910i	−0.716773	+	1.79896i
$666$	1.63897	+	1.24592i	0.0635090	+	0.0482783i
$667$	−4.84625	−	2.91589i	−0.187648	−	0.112904i
$668$	−18.0905	+	6.09541i	−0.699944	+	0.235839i
$669$	12.8099	+	12.1341i	0.495258	+	0.469133i
$670$	−3.94137	+	24.0413i	−0.152268	+	0.928796i
$671$	11.7052	+	1.27302i	0.451874	+	0.0491442i
$672$	−2.80079	+	1.68518i	−0.108043	+	0.0650071i
$673$	27.2484	−	32.0793i	1.05035	−	1.23656i	0.0795081	−	0.996834i	$-0.474665\pi$
$673$	27.2484	−	32.0793i	1.05035	−	1.23656i	0.970839	−	0.239731i	$-0.0770591\pi$
$674$	15.5402	−	7.18967i	0.598586	−	0.276936i
$675$	−0.795892	−	0.368219i	−0.0306339	−	0.0141727i
$676$	−4.57098	−	5.38137i	−0.175807	−	0.206976i
$677$	−40.9695	−	13.8042i	−1.57459	−	0.530540i	−0.609571	−	0.792731i	$-0.708658\pi$
$677$	−40.9695	−	13.8042i	−1.57459	−	0.530540i	−0.965016	+	0.262191i	$0.915555\pi$
$678$	3.21209	+	6.05864i	0.123360	+	0.232681i
$679$	−20.2608	−	38.2160i	−0.777539	−	1.46659i
$680$	1.87871	+	0.633011i	0.0720452	+	0.0242749i
$681$	10.2527	+	12.0704i	0.392885	+	0.462540i
$682$	−4.88118	−	2.25828i	−0.186910	−	0.0864738i
$683$	3.68386	−	1.70433i	0.140959	−	0.0652145i	−0.348142	−	0.937442i	$-0.613187\pi$
$683$	3.68386	−	1.70433i	0.140959	−	0.0652145i	0.489101	+	0.872227i	$0.337325\pi$
$684$	−4.07986	+	4.80318i	−0.155997	+	0.183654i
$685$	−34.9987	+	21.0580i	−1.33723	+	0.804585i
$686$	−10.7747	−	1.17181i	−0.411378	−	0.0447401i
$687$	−0.914629	+	5.57899i	−0.0348953	+	0.212852i
$688$	−0.244562	−	0.231662i	−0.00932386	−	0.00883202i
$689$	17.8835	−	6.02566i	0.681308	−	0.229559i
$690$	−11.8446	−	7.12668i	−0.450917	−	0.271308i
$691$	28.2762	+	21.4950i	1.07568	+	0.817709i	0.984016	−	0.178081i	$-0.0569889\pi$
$691$	28.2762	+	21.4950i	1.07568	+	0.817709i	0.0916622	+	0.995790i	$0.470782\pi$
$692$	3.17439	−	7.96711i	0.120672	−	0.302864i
$693$	−4.59577	+	6.77825i	−0.174579	+	0.257484i
$694$	0.682461	+	4.16282i	0.0259058	+	0.158019i
$695$	1.20472	+	22.2197i	0.0456976	+	0.842842i
$696$	−0.968693	−	0.213226i	−0.0367182	−	0.00808229i
$697$	1.71390	+	4.30157i	0.0649186	+	0.162933i
$698$	−1.67393	+	6.02896i	−0.0633593	+	0.228200i
$699$	−1.12153	+	20.6854i	−0.0424202	+	0.782394i
$700$	−2.84964	+	0.309917i	−0.107706	+	0.0117137i
$701$	32.7884	−	24.9251i	1.23840	−	0.941409i	0.238842	−	0.971058i	$-0.423232\pi$
$701$	32.7884	−	24.9251i	1.23840	−	0.941409i	0.999560	+	0.0296493i	$0.00943905\pi$
$702$	−0.651986	−	2.34824i	−0.0246076	−	0.0886287i
$703$	12.6711	−	2.78913i	0.477901	−	0.105194i
$704$	−1.40600	−	2.07370i	−0.0529908	−	0.0781556i
$705$	−14.6612	+	13.8878i	−0.552173	+	0.523046i
$706$	16.9835	−	32.0342i	0.639181	−	1.20562i
$707$	−11.3814			−0.428042
$708$	7.68092	−	0.0588669i	0.288667	−	0.00221236i
$709$	−34.4685			−1.29449			−0.647247	−	0.762281i	$-0.724080\pi$
$709$	−34.4685			−1.29449			−0.647247	+	0.762281i	$0.724080\pi$
$710$	4.80589	−	9.06488i	0.180362	−	0.340199i
$711$	4.23142	−	4.00821i	0.158691	−	0.150320i
$712$	9.41060	+	13.8796i	0.352677	+	0.520160i
$713$	−11.9544	+	2.63135i	−0.447694	+	0.0985450i
$714$	−0.715115	−	2.57561i	−0.0267625	−	0.0963898i
$715$	11.7839	−	8.95785i	0.440691	−	0.335005i
$716$	−21.8582	+	2.37722i	−0.816879	+	0.0888410i
$717$	0.877196	−	16.1789i	0.0327595	−	0.604213i
$718$	3.93464	−	14.1713i	0.146839	−	0.528868i
$719$	13.4660	+	33.7971i	0.502196	+	1.26042i	0.933619	+	0.358267i	$0.116632\pi$
$719$	13.4660	+	33.7971i	0.502196	+	1.26042i	−0.431423	+	0.902150i	$0.641988\pi$
$720$	−2.36756	−	0.521140i	−0.0882339	−	0.0194217i
$721$	2.90443	+	53.5691i	0.108167	+	1.99502i
$722$	3.35143	+	20.4428i	0.124727	+	0.760804i
$723$	16.1903	−	23.8789i	0.602125	−	0.888067i
$724$	−5.10229	+	12.8058i	−0.189625	+	0.475923i
$725$	−0.692461	−	0.526395i	−0.0257174	−	0.0195498i
$726$	4.04686	+	2.43492i	0.150193	+	0.0903682i
$727$	11.8559	−	3.99472i	0.439712	−	0.148156i	−0.0907339	−	0.995875i	$-0.528921\pi$
$727$	11.8559	−	3.99472i	0.439712	−	0.148156i	0.530445	+	0.847719i	$0.322025\pi$
$728$	−5.78328	−	5.47821i	−0.214343	−	0.203036i
$729$	−0.161782	+	0.986827i	−0.00599193	+	0.0365491i
$730$	−9.77907	−	1.06354i	−0.361940	−	0.0393633i
$731$	0.236047	−	0.142025i	0.00873052	−	0.00525298i
$732$	3.04240	−	3.58179i	0.112450	−	0.132387i
$733$	9.03113	−	4.17825i	0.333572	−	0.154327i	−0.245952	−	0.969282i	$-0.579100\pi$
$733$	9.03113	−	4.17825i	0.333572	−	0.154327i	0.579524	+	0.814955i	$0.303238\pi$
$734$	−23.8018	−	11.0119i	−0.878541	−	0.406456i
$735$	5.78209	+	6.80721i	0.213276	+	0.251088i
$736$	−5.40364	−	1.82070i	−0.199181	−	0.0671119i
$737$	11.7936	+	22.2450i	0.434421	+	0.819406i
$738$	−2.65224	−	5.00265i	−0.0976302	−	0.184150i
$739$	26.0919	+	8.79137i	0.959805	+	0.323396i	0.755233	−	0.655456i	$-0.227523\pi$
$739$	26.0919	+	8.79137i	0.959805	+	0.323396i	0.204571	+	0.978852i	$0.434420\pi$
$740$	3.23108	+	3.80392i	0.118777	+	0.139835i
$741$	−13.9390	−	6.44889i	−0.512063	−	0.236906i
$742$	−22.9715	+	10.6277i	−0.843309	+	0.390156i
$743$	−15.1753	+	17.8657i	−0.556727	+	0.655429i	−0.966472	−	0.256770i	$-0.917342\pi$
$743$	−15.1753	+	17.8657i	−0.556727	+	0.655429i	0.409746	+	0.912200i	$0.365617\pi$
$744$	−1.83938	+	1.10672i	−0.0674350	+	0.0405743i
$745$	−7.51617	−	0.817433i	−0.275371	−	0.0299484i
$746$	−1.06555	+	6.49954i	−0.0390124	+	0.237965i
$747$	8.45958	+	8.01334i	0.309520	+	0.293193i
$748$	1.94161	−	0.654206i	0.0709924	−	0.0239201i
$749$	−54.2687	−	32.6524i	−1.98294	−	1.19309i
$750$	7.95718	+	6.04889i	0.290555	+	0.220874i
$751$	−9.21188	+	23.1201i	−0.336146	+	0.843664i	0.659608	+	0.751610i	$0.270722\pi$
$751$	−9.21188	+	23.1201i	−0.336146	+	0.843664i	−0.995754	+	0.0920538i	$0.970657\pi$
$752$	−4.67485	+	6.89489i	−0.170474	+	0.251431i
$753$	−0.835370	−	5.09553i	−0.0304426	−	0.185691i
$754$	−0.130870	−	2.41375i	−0.00476599	−	0.0879035i
$755$	−45.5728	−	10.0313i	−1.65856	−	0.365078i
$756$	1.20986	+	3.03652i	0.0440022	+	0.110437i
$757$	−0.762796	+	2.74734i	−0.0277243	+	0.0998539i	−0.976118	−	0.217242i	$-0.930294\pi$
$757$	−0.762796	+	2.74734i	−0.0277243	+	0.0998539i	0.948393	+	0.317096i	$0.102708\pi$
$758$	−0.650037	+	11.9892i	−0.0236104	+	0.435468i
$759$	−14.2024	+	1.54461i	−0.515516	+	0.0560657i
$760$	−12.1624	+	9.24565i	−0.441178	+	0.335375i
$761$	5.18618	+	18.6789i	0.187999	+	0.677111i	0.996113	+	0.0880851i	$0.0280747\pi$
$761$	5.18618	+	18.6789i	0.187999	+	0.677111i	−0.808114	+	0.589026i	$0.799511\pi$
$762$	−16.2567	+	3.57837i	−0.588918	+	0.129631i
$763$	4.24061	+	6.25443i	0.153520	+	0.226426i
$764$	−0.894746	+	0.847549i	−0.0323708	+	0.0306632i
$765$	0.928613	−	1.75155i	0.0335741	−	0.0633274i
$766$	−0.150234			−0.00542816
$767$	5.14609	+	17.9983i	0.185815	+	0.649880i
$768$	−1.00000			−0.0360844
$769$	−2.83356	+	5.34466i	−0.102181	+	0.192733i	−0.929331	−	0.369247i	$-0.879616\pi$
$769$	−2.83356	+	5.34466i	−0.102181	+	0.192733i	0.827151	+	0.561980i	$0.189960\pi$
$770$	−14.4132	+	13.6529i	−0.519415	+	0.492016i
$771$	−5.87501	−	8.66499i	−0.211583	−	0.312062i
$772$	20.8963	−	4.59962i	0.752074	−	0.165544i
$773$	4.70154	+	16.9334i	0.169103	+	0.609053i	0.998713	+	0.0507108i	$0.0161487\pi$
$773$	4.70154	+	16.9334i	0.169103	+	0.609053i	−0.829611	+	0.558342i	$0.811438\pi$
$774$	−0.268176	+	0.203862i	−0.00963938	+	0.00732767i
$775$	−1.87146	+	0.203534i	−0.0672249	+	0.00731115i
$776$	0.716424	−	13.2137i	0.0257181	−	0.474343i
$777$	1.80032	−	6.48417i	0.0645861	−	0.232618i
$778$	1.81764	+	4.56194i	0.0651657	+	0.163554i
$779$	−34.8494	−	7.67092i	−1.24861	−	0.274839i
$780$	−0.319856	−	5.89939i	−0.0114527	−	0.211232i
$781$	−1.71547	−	10.4639i	−0.0613843	−	0.374428i
$782$	2.61685	−	3.85957i	0.0935785	−	0.138018i
$783$	−0.367134	+	0.921436i	−0.0131203	+	0.0329294i
$784$	2.93298	+	2.22960i	0.104749	+	0.0796285i
$785$	−17.1329	−	10.3085i	−0.611498	−	0.367926i
$786$	−5.35698	+	1.80498i	−0.191077	+	0.0643813i
$787$	−3.69071	−	3.49602i	−0.131559	−	0.124620i	0.619091	−	0.785319i	$-0.287501\pi$
$787$	−3.69071	−	3.49602i	−0.131559	−	0.124620i	−0.750651	+	0.660699i	$0.770260\pi$
$788$	−0.667682	+	4.07268i	−0.0237852	+	0.145083i
$789$	−4.51560	−	0.491101i	−0.160760	−	0.0174837i
$790$	12.1070	−	7.28453i	0.430747	−	0.259172i
$791$	14.5110	−	17.0837i	0.515952	−	0.607426i
$792$	−2.27385	+	1.05199i	−0.0807977	+	0.0373810i
$793$	10.3945	+	4.80902i	0.369120	+	0.170773i
$794$	−18.9600	−	22.3214i	−0.672865	−	0.792158i
$795$	−17.7893	−	5.99393i	−0.630923	−	0.212583i
$796$	−11.9655	−	22.5693i	−0.424106	−	0.799949i
$797$	−9.98277	−	18.8295i	−0.353608	−	0.666975i	0.641352	−	0.767246i	$-0.278374\pi$
$797$	−9.98277	−	18.8295i	−0.353608	−	0.666975i	−0.994960	+	0.100272i	$0.968029\pi$
$798$	19.5210	+	6.57739i	0.691036	+	0.232837i
$799$	−4.41020	−	5.19209i	−0.156022	−	0.183683i
$800$	−0.795892	−	0.368219i	−0.0281390	−	0.0130185i
$801$	15.2192	−	7.04116i	0.537745	−	0.248787i
$802$	−5.54075	+	6.52308i	−0.195651	+	0.230338i
$803$	−8.71089	+	5.24117i	−0.307401	+	0.184957i
$804$	9.99052	+	1.08653i	0.352338	+	0.0383191i
$805$	−7.30996	+	44.5888i	−0.257642	+	1.57155i
$806$	−3.79810	−	3.59775i	−0.133782	−	0.126725i
$807$	−12.2245	+	4.11892i	−0.430324	+	0.144993i
$808$	−2.98355	−	1.79514i	−0.104961	−	0.0631529i
$809$	−19.5903	−	14.8922i	−0.688759	−	0.523581i	0.201241	−	0.979542i	$-0.435503\pi$
$809$	−19.5903	−	14.8922i	−0.688759	−	0.523581i	−0.890000	+	0.455961i	$0.849296\pi$
$810$	−0.897304	+	2.25206i	−0.0315280	+	0.0791294i
$811$	12.2477	−	18.0640i	0.430074	−	0.634312i	−0.549477	−	0.835509i	$-0.685173\pi$
$811$	12.2477	−	18.0640i	0.430074	−	0.634312i	0.979551	+	0.201197i	$0.0644832\pi$
$812$	0.524520	+	3.19943i	0.0184070	+	0.112278i
$813$	−0.887465	−	16.3683i	−0.0311248	−	0.574062i
$814$	5.03748	+	1.10883i	0.176564	+	0.0388646i
$815$	−21.8971	−	54.9577i	−0.767023	−	1.92508i
$816$	0.218778	−	0.787968i	0.00765877	−	0.0275844i
$817$	−0.114934	+	2.11982i	−0.00402101	+	0.0741632i
$818$	5.49962	−	0.598120i	0.192290	−	0.0209128i
$819$	−6.34168	+	4.82082i	−0.221596	+	0.168453i
$820$	−3.67226	−	13.2263i	−0.128241	−	0.461882i
$821$	13.9864	−	3.07865i	0.488130	−	0.107446i	0.0359158	−	0.999355i	$-0.488565\pi$
$821$	13.9864	−	3.07865i	0.488130	−	0.107446i	0.452214	+	0.891909i	$0.350634\pi$
$822$	9.45529	+	13.9455i	0.329791	+	0.486406i
$823$	−7.28087	+	6.89681i	−0.253795	+	0.240408i	−0.804010	−	0.594615i	$-0.797304\pi$
$823$	−7.28087	+	6.89681i	−0.253795	+	0.240408i	0.550215	+	0.835023i	$0.314546\pi$
$824$	−7.68785	+	14.5008i	−0.267819	+	0.505160i
$825$	−2.19710			−0.0764933
$826$	−9.47159	−	23.2521i	−0.329559	−	0.809042i
$827$	7.60448			0.264434			0.132217	−	0.991221i	$-0.457790\pi$
$827$	7.60448			0.264434			0.132217	+	0.991221i	$0.457790\pi$
$828$	−2.67093	+	5.03790i	−0.0928211	+	0.175079i
$829$	19.8195	−	18.7740i	0.688359	−	0.652048i	−0.261328	−	0.965250i	$-0.584160\pi$
$829$	19.8195	−	18.7740i	0.688359	−	0.652048i	0.949686	+	0.313202i	$0.101402\pi$
$830$	15.8525	+	23.3807i	0.550249	+	0.811557i
$831$	18.0190	−	3.96627i	0.625071	−	0.137588i
$832$	−0.651986	−	2.34824i	−0.0226036	−	0.0814107i
$833$	−2.39852	+	1.82331i	−0.0831039	+	0.0631740i
$834$	9.12529	−	0.992435i	0.315983	−	0.0343652i
$835$	−2.50546	+	46.2105i	−0.0867050	+	1.59918i
$836$	−4.22406	+	15.2137i	−0.146092	+	0.526177i
$837$	0.794561	+	1.99420i	0.0274640	+	0.0689295i
$838$	−5.04886	−	1.11134i	−0.174410	−	0.0383905i
$839$	−2.83351	−	52.2609i	−0.0978235	−	1.80425i	−0.476979	−	0.878915i	$-0.658268\pi$
$839$	−2.83351	−	52.2609i	−0.0978235	−	1.80425i	0.379155	−	0.925333i	$-0.376215\pi$
$840$	1.28197	+	7.81966i	0.0442321	+	0.269804i
$841$	15.7223	−	23.1887i	0.542149	−	0.799609i
$842$	−2.29100	+	5.74996i	−0.0789529	+	0.198157i
$843$	11.8181	+	8.98390i	0.407037	+	0.309422i
$844$	21.8600	+	13.1527i	0.752452	+	0.452735i
$845$	−16.2208	+	5.46541i	−0.558011	+	0.188016i
$846$	6.04776	+	5.72874i	0.207926	+	0.196958i
$847$	2.49754	−	15.2343i	0.0858164	−	0.523457i
$848$	−7.69806	−	0.837214i	−0.264352	−	0.0287501i
$849$	−15.0878	+	9.07801i	−0.517811	+	0.311557i
$850$	0.464268	−	0.546579i	0.0159243	−	0.0187475i
$851$	10.6544	−	4.92924i	0.365228	−	0.168972i
$852$	−3.84111	−	1.77709i	−0.131594	−	0.0608820i
$853$	10.8488	+	12.7722i	0.371455	+	0.437311i	0.915852	−	0.401517i	$-0.131517\pi$
$853$	10.8488	+	12.7722i	0.371455	+	0.437311i	−0.544396	+	0.838828i	$0.683241\pi$
$854$	−14.5571	−	4.90484i	−0.498132	−	0.167840i
$855$	7.15619	+	13.4980i	0.244736	+	0.461622i
$856$	−9.07599	−	17.1191i	−0.310211	−	0.585120i
$857$	−29.0164	−	9.77676i	−0.991181	−	0.333968i	−0.223433	−	0.974719i	$-0.571726\pi$
$857$	−29.0164	−	9.77676i	−0.991181	−	0.333968i	−0.767748	+	0.640752i	$0.778623\pi$
$858$	−3.95286	−	4.65367i	−0.134948	−	0.158874i
$859$	−9.95520	−	4.60577i	−0.339667	−	0.157147i	0.242638	−	0.970117i	$-0.421987\pi$
$859$	−9.95520	−	4.60577i	−0.339667	−	0.157147i	−0.582305	+	0.812970i	$0.697849\pi$
$860$	−0.741164	+	0.342899i	−0.0252735	+	0.0116928i
$861$	−11.9818	+	14.1061i	−0.408339	+	0.480734i
$862$	−17.7147	+	10.6586i	−0.603365	+	0.363033i
$863$	38.7318	+	4.21233i	1.31844	+	0.143389i	0.740152	−	0.672440i	$-0.234754\pi$
$863$	38.7318	+	4.21233i	1.31844	+	0.143389i	0.578293	+	0.815829i	$0.303719\pi$
$864$	−0.161782	+	0.986827i	−0.00550394	+	0.0335725i
$865$	−15.0940	−	14.2978i	−0.513213	−	0.486141i
$866$	23.8585	−	8.03887i	0.810745	−	0.273172i
$867$	−13.9935	−	8.41964i	−0.475246	−	0.285946i
$868$	5.58597	+	4.24634i	0.189600	+	0.144130i
$869$	5.40499	−	13.5655i	0.183352	−	0.460178i
$870$	−1.34941	+	1.99023i	−0.0457493	+	0.0674751i
$871$	3.96224	+	24.1686i	0.134255	+	0.818921i
$872$	0.125158	+	2.30840i	0.00423838	+	0.0781724i
$873$	−12.9237	−	2.84472i	−0.437401	−	0.0962792i
$874$	13.3009	+	33.3829i	0.449911	+	1.12919i
$875$	8.74050	−	31.4804i	0.295483	−	1.06423i
$876$	−0.219677	+	4.05170i	−0.00742220	+	0.136894i
$877$	11.2285	−	1.22117i	0.379158	−	0.0412360i	0.0834442	−	0.996512i	$-0.473408\pi$
$877$	11.2285	−	1.22117i	0.379158	−	0.0412360i	0.295714	+	0.955276i	$0.404442\pi$
$878$	29.9171	−	22.7424i	1.00965	−	0.767518i
$879$	−0.663400	−	2.38935i	−0.0223759	−	0.0805908i
$880$	−5.93172	+	1.30567i	−0.199958	+	0.0440141i
$881$	1.28875	+	1.90076i	0.0434190	+	0.0640382i	0.848779	−	0.528748i	$-0.177338\pi$
$881$	1.28875	+	1.90076i	0.0434190	+	0.0640382i	−0.805360	+	0.592786i	$0.798028\pi$
$882$	2.67473	−	2.53364i	0.0900628	−	0.0853120i
$883$	−21.6387	+	40.8149i	−0.728199	+	1.37353i	0.191731	+	0.981447i	$0.438590\pi$
$883$	−21.6387	+	40.8149i	−0.728199	+	1.37353i	−0.919930	+	0.392082i	$0.871755\pi$
$884$	1.99298			0.0670312
$885$	6.75955	−	17.3507i	0.227220	−	0.583239i
$886$	−33.3874			−1.12167
$887$	0.938543	−	1.77028i	0.0315132	−	0.0594402i	−0.867255	−	0.497863i	$-0.834118\pi$
$887$	0.938543	−	1.77028i	0.0315132	−	0.0594402i	0.898769	+	0.438423i	$0.144463\pi$
$888$	1.49466	−	1.41582i	0.0501575	−	0.0475117i
$889$	30.5341	+	45.0345i	1.02408	+	1.51041i
$890$	39.7019	−	8.73905i	1.33081	−	0.292934i
$891$	0.670268	+	2.41409i	0.0224548	+	0.0808750i
$892$	14.0467	−	10.6780i	0.470318	−	0.357527i
$893$	52.1901	−	5.67602i	1.74648	−	0.189941i
$894$	−0.168843	+	3.11413i	−0.00564697	+	0.104152i
$895$	−14.2598	+	51.3591i	−0.476652	+	1.71675i
$896$	1.20986	+	3.03652i	0.0404186	+	0.101443i
$897$	−13.5716	−	2.98734i	−0.453143	−	0.0997444i
$898$	−1.13755	−	20.9809i	−0.0379605	−	0.700141i
$899$	0.344472	+	2.10119i	0.0114888	+	0.0700785i
$900$	−0.492129	+	0.725836i	−0.0164043	+	0.0241945i
$901$	2.34387	−	5.88266i	0.0780855	−	0.195980i
$902$	−11.2935	−	8.58513i	−0.376034	−	0.285854i
$903$	0.943487	+	0.567677i	0.0313973	+	0.0188911i
$904$	6.49849	−	2.18960i	0.216136	−	0.0728249i
$905$	24.2611	+	22.9813i	0.806466	+	0.763926i
$906$	−3.11411	+	18.9952i	−0.103459	+	0.631075i
$907$	−19.5062	−	2.12143i	−0.647693	−	0.0704408i	−0.221625	−	0.975132i	$-0.571136\pi$
$907$	−19.5062	−	2.12143i	−0.647693	−	0.0704408i	−0.426068	+	0.904691i	$0.640102\pi$
$908$	13.5701	−	8.16487i	0.450340	−	0.270961i
$909$	−2.25418	+	2.65383i	−0.0747664	+	0.0880218i
$910$	−17.5266	+	8.10869i	−0.581003	+	0.268800i
$911$	−38.2312	−	17.6876i	−1.26666	−	0.586018i	−0.332575	−	0.943077i	$-0.607917\pi$
$911$	−38.2312	−	17.6876i	−1.26666	−	0.586018i	−0.934082	+	0.357059i	$0.883780\pi$
$912$	4.07986	+	4.80318i	0.135098	+	0.159049i
$913$	27.6658	+	9.32170i	0.915605	+	0.308503i
$914$	−10.1368	−	19.1199i	−0.335294	−	0.632432i
$915$	−5.33646	−	10.0656i	−0.176418	−	0.332759i
$916$	5.35752	+	1.80516i	0.177018	+	0.0596442i
$917$	11.9620	+	14.0828i	0.395021	+	0.465055i
$918$	−0.742193	−	0.343375i	−0.0244960	−	0.0113331i
$919$	−0.405480	+	0.187595i	−0.0133755	+	0.00618818i	−0.426565	−	0.904457i	$-0.640277\pi$
$919$	−0.405480	+	0.187595i	−0.0133755	+	0.00618818i	0.413190	+	0.910645i	$0.364415\pi$
$920$	−8.94904	+	10.5356i	−0.295041	+	0.347349i
$921$	−14.0638	+	8.46189i	−0.463417	+	0.278829i
$922$	16.5619	+	1.80122i	0.545437	+	0.0593199i
$923$	1.66868	−	10.1785i	0.0549252	−	0.335029i
$924$	5.94545	+	5.63183i	0.195591	+	0.185273i
$925$	1.71092	−	0.576475i	0.0562546	−	0.0189544i
$926$	−1.24383	−	0.748391i	−0.0408750	−	0.0245936i
$927$	13.0660	+	9.93254i	0.429145	+	0.326227i
$928$	−0.367134	+	0.921436i	−0.0120518	+	0.0302476i
$929$	−22.2849	+	32.8678i	−0.731144	+	1.07836i	0.262406	+	0.964958i	$0.415484\pi$
$929$	−22.2849	+	32.8678i	−0.731144	+	1.07836i	−0.993550	+	0.113399i	$0.963826\pi$
$930$	0.841917	+	5.13547i	0.0276075	+	0.168399i
$931$	−1.25700	−	23.1841i	−0.0411967	−	0.759828i
$932$	20.2315	+	4.45328i	0.662704	+	0.145872i
$933$	4.50325	+	11.3023i	0.147430	+	0.370021i
$934$	4.46193	−	16.0704i	0.145999	−	0.525840i
$935$	0.268905	−	4.95966i	0.00879413	−	0.162198i
$936$	−2.42279	+	0.263494i	−0.0791913	+	0.00861257i
$937$	44.0344	−	33.4741i	1.43854	−	1.09355i	0.459902	−	0.887970i	$-0.347885\pi$
$937$	44.0344	−	33.4741i	1.43854	−	1.09355i	0.978640	−	0.205581i	$-0.0659086\pi$
$938$	−8.78785	−	31.6510i	−0.286933	−	1.03344i
$939$	−30.0322	+	6.61058i	−0.980063	+	0.215728i
$940$	11.3330	+	16.7149i	0.369641	+	0.545179i
$941$	15.6118	−	14.7882i	0.508929	−	0.482083i	−0.389608	−	0.920981i	$-0.627390\pi$
$941$	15.6118	−	14.7882i	0.508929	−	0.482083i	0.898537	+	0.438898i	$0.144631\pi$
$942$	−3.86341	+	7.28716i	−0.125877	+	0.237428i
$943$	−32.2868			−1.05140
$944$	1.18454	−	7.58926i	0.0385536	−	0.247009i
$945$	7.92405			0.257769
$946$	−0.395330	+	0.745671i	−0.0128533	+	0.0242439i
$947$	27.5573	−	26.1036i	0.895491	−	0.848254i	−0.0935926	−	0.995611i	$-0.529835\pi$
$947$	27.5573	−	26.1036i	0.895491	−	0.848254i	0.989083	+	0.147357i	$0.0470765\pi$
$948$	−3.27084	−	4.82413i	−0.106232	−	0.156681i
$949$	−9.65761	+	2.12580i	−0.313499	+	0.0690064i
$950$	1.47850	+	5.32509i	0.0479690	+	0.172769i
$951$	6.17453	−	4.69376i	0.200223	−	0.152205i
$952$	−2.65737	+	0.289007i	−0.0861259	+	0.00936676i
$953$	−2.52620	+	46.5931i	−0.0818317	+	1.50930i	0.612976	+	0.790101i	$0.289972\pi$
$953$	−2.52620	+	46.5931i	−0.0818317	+	1.50930i	−0.694808	+	0.719195i	$0.744511\pi$
$954$	−2.07159	+	7.46120i	−0.0670703	+	0.241565i
$955$	1.10587	+	2.77553i	0.0357852	+	0.0898142i
$956$	−15.8239	−	3.48310i	−0.511781	−	0.112652i
$957$	0.134539	+	2.48143i	0.00434904	+	0.0802132i
$958$	2.94946	+	17.9909i	0.0952927	+	0.581259i
$959$	30.9063	−	45.5833i	0.998015	−	1.47196i
$960$	−0.897304	+	2.25206i	−0.0289604	+	0.0726850i
$961$	−21.0104	−	15.9717i	−0.677754	−	0.515215i
$962$	4.29918	+	2.58673i	0.138611	+	0.0833995i
$963$	−18.3620	+	6.18686i	−0.591706	+	0.199369i
$964$	−20.9451	−	19.8402i	−0.674595	−	0.639011i
$965$	8.39168	−	51.1870i	0.270138	−	1.64777i
$966$	18.5291	+	2.01517i	0.596166	+	0.0648369i
$967$	−26.8959	+	16.1827i	−0.864914	+	0.520401i	−0.877531	−	0.479519i	$-0.840811\pi$
$967$	−26.8959	+	16.1827i	−0.864914	+	0.520401i	0.0126178	+	0.999920i	$0.495984\pi$
$968$	3.05755	−	3.59963i	0.0982734	−	0.115696i
$969$	−4.67733	+	2.16397i	−0.150258	+	0.0695166i
$970$	−29.1152	−	13.4701i	−0.934832	−	0.432499i
$971$	9.29235	+	10.9398i	0.298206	+	0.351075i	0.890775	−	0.454445i	$-0.150162\pi$
$971$	9.29235	+	10.9398i	0.298206	+	0.351075i	−0.592569	+	0.805519i	$0.701886\pi$
$972$	0.947653	+	0.319302i	0.0303960	+	0.0102416i
$973$	−14.0539	−	26.5084i	−0.450547	−	0.849821i
$974$	8.39049	+	15.8261i	0.268849	+	0.507102i
$975$	−2.02530	−	0.682403i	−0.0648615	−	0.0218544i
$976$	−3.04240	−	3.58179i	−0.0973848	−	0.114650i
$977$	−6.07303	−	2.80968i	−0.194293	−	0.0898896i	0.320330	−	0.947306i	$-0.396206\pi$
$977$	−6.07303	−	2.80968i	−0.194293	−	0.0898896i	−0.514623	+	0.857416i	$0.672068\pi$
$978$	−22.1478	+	10.2467i	−0.708208	+	0.327652i
$979$	27.1989	−	32.0211i	0.869282	−	1.02340i
$980$	7.65297	−	4.60464i	0.244465	−	0.147090i
$981$	2.29824	+	0.249949i	0.0733772	+	0.00798025i
$982$	−3.83725	+	23.4062i	−0.122452	+	0.746921i
$983$	1.53291	+	1.45205i	0.0488921	+	0.0463131i	0.711756	−	0.702427i	$-0.247900\pi$
$983$	1.53291	+	1.45205i	0.0488921	+	0.0463131i	−0.662863	+	0.748740i	$0.730659\pi$
$984$	−5.36583	+	1.80796i	−0.171056	+	0.0576356i
$985$	8.57282	+	5.15809i	0.273153	+	0.164351i
$986$	−0.645741	−	0.490880i	−0.0205646	−	0.0156328i
$987$	10.0785	−	25.2951i	0.320802	−	0.805152i
$988$	−8.61902	+	12.7121i	−0.274207	+	0.404426i
$989$	0.310759	+	1.89554i	0.00988155	+	0.0602748i
$990$	0.328825	+	6.06481i	0.0104507	+	0.192752i
$991$	0.768794	+	0.169224i	0.0244216	+	0.00537559i	0.227164	−	0.973856i	$-0.427055\pi$
$991$	0.768794	+	0.169224i	0.0244216	+	0.00537559i	−0.202743	+	0.979232i	$0.564986\pi$
$992$	0.794561	+	1.99420i	0.0252273	+	0.0633158i
$993$	−1.26885	+	4.56997i	−0.0402656	+	0.145024i
$994$	−0.748953	+	13.8136i	−0.0237554	+	0.438142i
$995$	−61.5643	+	6.69552i	−1.95172	+	0.212262i
$996$	9.27639	−	7.05173i	0.293934	−	0.223442i
$997$	−2.58193	−	9.29928i	−0.0817706	−	0.294511i	0.911346	−	0.411641i	$-0.135044\pi$
$997$	−2.58193	−	9.29928i	−0.0817706	−	0.294511i	−0.993117	+	0.117130i	$0.962631\pi$
$998$	19.4645	−	4.28445i	0.616137	−	0.135622i
$999$	−1.15536	−	1.70402i	−0.0365539	−	0.0539129i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	354.2.e.b.19.1	✓	56
59.28	even	29	inner	354.2.e.b.205.1	yes	56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
354.2.e.b.19.1	✓	56	1.1	even	1	trivial
354.2.e.b.205.1	yes	56	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)

\(f(q)\)	\(=\)	\(q+(-0.468408 + 0.883512i) q^{2} +(0.725995 - 0.687699i) q^{3} +(-0.561187 - 0.827689i) q^{4} +(-2.36756 + 0.521140i) q^{5} +(0.267528 + 0.963550i) q^{6} +(2.60217 - 1.97812i) q^{7} +(0.994138 - 0.108119i) q^{8} +(0.0541389 - 0.998533i) q^{9} +O(q^{10})\)	\(q+(-0.468408 + 0.883512i) q^{2} +(0.725995 - 0.687699i) q^{3} +(-0.561187 - 0.827689i) q^{4} +(-2.36756 + 0.521140i) q^{5} +(0.267528 + 0.963550i) q^{6} +(2.60217 - 1.97812i) q^{7} +(0.994138 - 0.108119i) q^{8} +(0.0541389 - 0.998533i) q^{9} +(0.648553 - 2.33588i) q^{10} +(-0.927348 - 2.32747i) q^{11} +(-0.976621 - 0.214970i) q^{12} +(-0.131941 - 2.43350i) q^{13} +(0.528812 + 3.22561i) q^{14} +(-1.36045 + 2.00652i) q^{15} +(-0.370138 + 0.928977i) q^{16} +(-0.651026 - 0.494897i) q^{17} +(0.856857 + 0.515554i) q^{18} +(5.97215 - 2.01225i) q^{19} +(1.75999 + 1.66715i) q^{20} +(0.528812 - 3.22561i) q^{21} +(2.49072 + 0.270883i) q^{22} +(4.88591 - 2.93976i) q^{23} +(0.647386 - 0.762162i) q^{24} +(0.795892 - 0.368219i) q^{25} +(2.21183 + 1.02330i) q^{26} +(-0.647386 - 0.762162i) q^{27} +(-3.09757 - 1.04369i) q^{28} +(-0.464606 - 0.876340i) q^{29} +(-1.13553 - 2.14185i) q^{30} +(-2.03429 - 0.685432i) q^{31} +(-0.647386 - 0.762162i) q^{32} +(-2.27385 - 1.05199i) q^{33} +(0.742193 - 0.343375i) q^{34} +(-5.12992 + 6.03941i) q^{35} +(-0.856857 + 0.515554i) q^{36} +(2.04670 + 0.222592i) q^{37} +(-1.01956 + 6.21902i) q^{38} +(-1.76931 - 1.67597i) q^{39} +(-2.29734 + 0.774064i) q^{40} +(-4.85172 - 2.91918i) q^{41} +(2.60217 + 1.97812i) q^{42} +(-0.124687 + 0.312940i) q^{43} +(-1.40600 + 2.07370i) q^{44} +(0.392198 + 2.39231i) q^{45} +(0.308707 + 5.69377i) q^{46} +(8.13554 + 1.79077i) q^{47} +(0.370138 + 0.928977i) q^{48} +(0.985634 - 3.54993i) q^{49} +(-0.0474767 + 0.875657i) q^{50} +(-0.812982 + 0.0884171i) q^{51} +(-1.94014 + 1.47485i) q^{52} +(2.07159 + 7.46120i) q^{53} +(0.976621 - 0.214970i) q^{54} +(3.40849 + 5.02715i) q^{55} +(2.37304 - 2.24786i) q^{56} +(2.95193 - 5.56793i) q^{57} +0.991883 q^{58} +(-7.48869 + 1.70866i) q^{59} +2.42424 q^{60} +(-2.20129 + 4.15208i) q^{61} +(1.55847 - 1.47626i) q^{62} +(-1.83434 - 2.70544i) q^{63} +(0.976621 - 0.214970i) q^{64} +(1.58057 + 5.69271i) q^{65} +(1.99454 - 1.51621i) q^{66} +(-9.99052 + 1.08653i) q^{67} +(-0.0442735 + 0.816577i) q^{68} +(1.52548 - 5.49429i) q^{69} +(-2.93299 - 7.36126i) q^{70} +(4.13333 + 0.909814i) q^{71} +(-0.0541389 - 0.998533i) q^{72} +(-0.656455 - 4.00420i) q^{73} +(-1.15536 + 1.70402i) q^{74} +(0.324590 - 0.814660i) q^{75} +(-5.01701 - 3.81383i) q^{76} +(-7.01712 - 4.22206i) q^{77} +(2.30950 - 0.778162i) q^{78} +(4.23142 + 4.00821i) q^{79} +(0.392198 - 2.39231i) q^{80} +(-0.994138 - 0.108119i) q^{81} +(4.85172 - 2.91918i) q^{82} +(-7.54360 + 8.88101i) q^{83} +(-2.96657 + 1.37248i) q^{84} +(1.79926 + 0.832424i) q^{85} +(-0.218082 - 0.256746i) q^{86} +(-0.939961 - 0.316710i) q^{87} +(-1.17356 - 2.21356i) q^{88} +(7.85479 + 14.8157i) q^{89} +(-2.29734 - 0.774064i) q^{90} +(-5.15708 - 6.07138i) q^{91} +(-5.17512 - 2.39426i) q^{92} +(-1.94826 + 0.901359i) q^{93} +(-5.39292 + 6.34903i) q^{94} +(-13.0908 + 7.87646i) q^{95} +(-0.994138 - 0.108119i) q^{96} +(2.14087 - 13.0587i) q^{97} +(2.67473 + 2.53364i) q^{98} +(-2.37426 + 0.799982i) 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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