LMFDB - Embedded newform 354.2.g.b.23.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [354,2,Mod(11,354)]

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([29, 25]))

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

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

chi := DirichletCharacter("354.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 354 = 2 \cdot 3 \cdot 59 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	354.g (of order $58$, 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:	$280$
Relative dimension:	$10$ over $\Q(\zeta_{58})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label			23.10
Character	$\chi$	$=$	354.23
Dual form			354.2.g.b.77.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.725995 - 0.687699i) q^{2} +(1.73205 + 0.00243249i) q^{3} +(0.0541389 - 0.998533i) q^{4} +(1.16466 + 0.190936i) q^{5} +(1.25913 - 1.18936i) q^{6} +(0.141142 - 0.266222i) q^{7} +(-0.647386 - 0.762162i) q^{8} +(2.99999 + 0.00842639i) q^{9} +O(q^{10})$	\(q+(0.725995 - 0.687699i) q^{2} +(1.73205 + 0.00243249i) q^{3} +(0.0541389 - 0.998533i) q^{4} +(1.16466 + 0.190936i) q^{5} +(1.25913 - 1.18936i) q^{6} +(0.141142 - 0.266222i) q^{7} +(-0.647386 - 0.762162i) q^{8} +(2.99999 + 0.00842639i) q^{9} +(0.976845 - 0.662318i) q^{10} +(-2.52028 + 0.274097i) q^{11} +(0.0962002 - 1.72938i) q^{12} +(-0.380998 + 0.823514i) q^{13} +(-0.0806122 - 0.290339i) q^{14} +(2.01679 + 0.333544i) q^{15} +(-0.994138 - 0.108119i) q^{16} +(-5.35154 + 2.83721i) q^{17} +(2.18377 - 2.05697i) q^{18} +(4.46044 - 2.68376i) q^{19} +(0.253710 - 1.15262i) q^{20} +(0.245112 - 0.460766i) q^{21} +(-1.64122 + 1.93219i) q^{22} +(0.595716 + 1.49513i) q^{23} +(-1.11945 - 1.32168i) q^{24} +(-3.41829 - 1.15176i) q^{25} +(0.289727 + 0.859879i) q^{26} +(5.19611 + 0.0218924i) q^{27} +(-0.258190 - 0.155348i) q^{28} +(1.15084 - 1.21492i) q^{29} +(1.69356 - 1.14479i) q^{30} +(-1.81649 + 3.01903i) q^{31} +(-0.796093 + 0.605174i) q^{32} +(-4.36592 + 0.468619i) q^{33} +(-1.93405 + 5.74005i) q^{34} +(0.215214 - 0.283109i) q^{35} +(0.170830 - 2.99513i) q^{36} +(-4.30482 - 3.65655i) q^{37} +(1.39264 - 5.01584i) q^{38} +(-0.661910 + 1.42544i) q^{39} +(-0.608461 - 1.01127i) q^{40} +(-0.179071 - 0.0713485i) q^{41} +(-0.138918 - 0.503077i) q^{42} +(-0.719384 + 6.61462i) q^{43} +(0.137250 + 2.53142i) q^{44} +(3.49236 + 0.582621i) q^{45} +(1.46069 + 0.675788i) q^{46} +(-0.642133 - 3.91684i) q^{47} +(-1.72163 - 0.189686i) q^{48} +(3.87736 + 5.71867i) q^{49} +(-3.27372 + 1.51459i) q^{50} +(-9.27604 + 4.90117i) q^{51} +(0.801679 + 0.425023i) q^{52} +(-3.04142 - 2.06213i) q^{53} +(3.78741 - 3.55747i) q^{54} +(-2.98761 - 0.161983i) q^{55} +(-0.294277 + 0.0647753i) q^{56} +(7.73223 - 4.63755i) q^{57} -1.67346i q^{58} +(-2.74338 - 7.17453i) q^{59} +(0.442242 - 1.99577i) q^{60} +(4.15138 + 4.38256i) q^{61} +(0.757421 + 3.44100i) q^{62} +(0.425667 - 0.797473i) q^{63} +(-0.161782 + 0.986827i) q^{64} +(-0.600972 + 0.886368i) q^{65} +(-2.84737 + 3.34265i) q^{66} +(-3.38248 + 2.87310i) q^{67} +(2.54332 + 5.49730i) q^{68} +(1.02817 + 2.59110i) q^{69} +(-0.0384496 - 0.353538i) q^{70} +(10.9889 - 1.80155i) q^{71} +(-1.93573 - 2.29193i) q^{72} +(-12.3998 + 3.44278i) q^{73} +(-5.63989 + 0.305786i) q^{74} +(-5.91784 - 2.00321i) q^{75} +(-2.43834 - 4.59919i) q^{76} +(-0.282746 + 0.709640i) q^{77} +(0.499730 + 1.49006i) q^{78} +(-7.17805 - 1.58001i) q^{79} +(-1.13719 - 0.315739i) q^{80} +(8.99986 + 0.0505581i) q^{81} +(-0.179071 + 0.0713485i) q^{82} +(10.9754 + 8.34331i) q^{83} +(-0.446820 - 0.269698i) q^{84} +(-6.77446 + 2.28258i) q^{85} +(4.02660 + 5.29691i) q^{86} +(1.99626 - 2.10151i) q^{87} +(1.84050 + 1.74342i) q^{88} +(-3.21162 - 3.04221i) q^{89} +(2.93611 - 1.97871i) q^{90} +(0.165462 + 0.217662i) q^{91} +(1.52519 - 0.513898i) q^{92} +(-3.15359 + 5.22468i) q^{93} +(-3.15979 - 2.40201i) q^{94} +(5.70733 - 2.27401i) q^{95} +(-1.38034 + 1.04625i) q^{96} +(5.83361 + 1.61969i) q^{97} +(6.74767 + 1.48527i) q^{98} +(-7.56312 + 0.801051i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 280 q + 10 q^{2} + q^{3} - 10 q^{4} - q^{6} + 2 q^{7} + 10 q^{8} - 3 q^{9}+O(q^{10}) $ 280 * q + 10 * q^2 + q^3 - 10 * q^4 - q^6 + 2 * q^7 + 10 * q^8 - 3 * q^9	$ 280 q + 10 q^{2} + q^{3} - 10 q^{4} - q^{6} + 2 q^{7} + 10 q^{8} - 3 q^{9} - 4 q^{11} + q^{12} + 27 q^{14} + 7 q^{15} - 10 q^{16} + 3 q^{18} + 6 q^{19} + 3 q^{21} + 4 q^{22} + 8 q^{23} - q^{24} - 4 q^{25} + 97 q^{27} + 2 q^{28} - 7 q^{30} + 10 q^{32} - 3 q^{36} - 6 q^{38} + 4 q^{39} - 3 q^{42} - 4 q^{44} - 18 q^{45} - 8 q^{46} - 232 q^{47} + q^{48} - 8 q^{49} + 4 q^{50} - 118 q^{51} + 58 q^{53} - 126 q^{54} - 2 q^{56} + 32 q^{57} - 20 q^{59} - 80 q^{60} - 329 q^{63} - 10 q^{64} - 16 q^{65} - 87 q^{66} - 130 q^{69} + 3 q^{72} - 25 q^{75} + 6 q^{76} - 106 q^{77} - 4 q^{78} - 6 q^{79} - 7 q^{81} + 104 q^{83} + 3 q^{84} + 4 q^{85} + 15 q^{87} + 4 q^{88} + 16 q^{89} - 11 q^{90} + 8 q^{92} - 122 q^{93} - q^{96} + 8 q^{98} - 2 q^{99}+O(q^{100}) $ 280 * q + 10 * q^2 + q^3 - 10 * q^4 - q^6 + 2 * q^7 + 10 * q^8 - 3 * q^9 - 4 * q^11 + q^12 + 27 * q^14 + 7 * q^15 - 10 * q^16 + 3 * q^18 + 6 * q^19 + 3 * q^21 + 4 * q^22 + 8 * q^23 - q^24 - 4 * q^25 + 97 * q^27 + 2 * q^28 - 7 * q^30 + 10 * q^32 - 3 * q^36 - 6 * q^38 + 4 * q^39 - 3 * q^42 - 4 * q^44 - 18 * q^45 - 8 * q^46 - 232 * q^47 + q^48 - 8 * q^49 + 4 * q^50 - 118 * q^51 + 58 * q^53 - 126 * q^54 - 2 * q^56 + 32 * q^57 - 20 * q^59 - 80 * q^60 - 329 * q^63 - 10 * q^64 - 16 * q^65 - 87 * q^66 - 130 * q^69 + 3 * q^72 - 25 * q^75 + 6 * q^76 - 106 * q^77 - 4 * q^78 - 6 * q^79 - 7 * q^81 + 104 * q^83 + 3 * q^84 + 4 * q^85 + 15 * q^87 + 4 * q^88 + 16 * q^89 - 11 * q^90 + 8 * q^92 - 122 * q^93 - q^96 + 8 * q^98 - 2 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$61$	$119$
$\chi(n)$	$e\left(\frac{15}{58}\right)$	$-1$

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 $

$2$	0.725995	−	0.687699i	0.513356	−	0.486277i
$2$	0.725995	−	0.687699i	0.513356	−	0.486277i
$3$	1.73205	+	0.00243249i	0.999999	+	0.00140440i
$3$	1.73205	+	0.00243249i	0.999999	+	0.00140440i
$4$	0.0541389	−	0.998533i	0.0270695	−	0.499267i
$5$	1.16466	+	0.190936i	0.520852	+	0.0853894i	0.416473	−	0.909148i	$-0.363266\pi$
$5$	1.16466	+	0.190936i	0.520852	+	0.0853894i	0.104379	+	0.994538i	$0.466714\pi$
$6$	1.25913	−	1.18936i	0.514039	−	0.485556i
$7$	0.141142	−	0.266222i	0.0533466	−	0.100622i	−0.855405	−	0.517960i	$-0.826692\pi$
$7$	0.141142	−	0.266222i	0.0533466	−	0.100622i	0.908752	+	0.417337i	$0.137037\pi$
$8$	−0.647386	−	0.762162i	−0.228886	−	0.269465i
$9$	2.99999	+	0.00842639i	0.999996	+	0.00280880i
$10$	0.976845	−	0.662318i	0.308906	−	0.209443i
$11$	−2.52028	+	0.274097i	−0.759893	+	0.0826434i	−0.479858	−	0.877346i	$-0.659312\pi$
$11$	−2.52028	+	0.274097i	−0.759893	+	0.0826434i	−0.280036	+	0.959990i	$0.590346\pi$
$12$	0.0962002	−	1.72938i	0.0277706	−	0.499228i
$13$	−0.380998	+	0.823514i	−0.105670	+	0.228402i	−0.953197	−	0.302351i	$-0.902229\pi$
$13$	−0.380998	+	0.823514i	−0.105670	+	0.228402i	0.847527	+	0.530753i	$0.178091\pi$
$14$	−0.0806122	−	0.290339i	−0.0215445	−	0.0775963i
$15$	2.01679	+	0.333544i	0.520732	+	0.0861208i
$16$	−0.994138	−	0.108119i	−0.248534	−	0.0270298i
$17$	−5.35154	+	2.83721i	−1.29794	+	0.688124i	−0.966819	−	0.255464i	$-0.917772\pi$
$17$	−5.35154	+	2.83721i	−1.29794	+	0.688124i	−0.331121	+	0.943588i	$0.607427\pi$
$18$	2.18377	−	2.05697i	0.514720	−	0.484833i
$19$	4.46044	−	2.68376i	1.02330	−	0.615696i	0.0980956	−	0.995177i	$-0.468725\pi$
$19$	4.46044	−	2.68376i	1.02330	−	0.615696i	0.925200	+	0.379481i	$0.123897\pi$
$20$	0.253710	−	1.15262i	0.0567313	−	0.257733i
$21$	0.245112	−	0.460766i	0.0534879	−	0.100547i
$22$	−1.64122	+	1.93219i	−0.349908	+	0.411944i
$23$	0.595716	+	1.49513i	0.124215	+	0.311757i	0.977913	−	0.209012i	$-0.0670247\pi$
$23$	0.595716	+	1.49513i	0.124215	+	0.311757i	−0.853698	+	0.520769i	$0.825645\pi$
$24$	−1.11945	−	1.32168i	−0.228507	−	0.269786i
$25$	−3.41829	−	1.15176i	−0.683658	−	0.230351i
$26$	0.289727	+	0.859879i	0.0568202	+	0.168636i
$27$	5.19611	+	0.0218924i	0.999991	+	0.00421319i
$28$	−0.258190	−	0.155348i	−0.0487933	−	0.0293580i
$29$	1.15084	−	1.21492i	0.213705	−	0.225605i	−0.610326	−	0.792150i	$-0.708962\pi$
$29$	1.15084	−	1.21492i	0.213705	−	0.225605i	0.824031	+	0.566545i	$0.191720\pi$
$30$	1.69356	−	1.14479i	0.309199	−	0.209009i
$31$	−1.81649	+	3.01903i	−0.326251	+	0.542233i	−0.975960	−	0.217950i	$-0.930063\pi$
$31$	−1.81649	+	3.01903i	−0.326251	+	0.542233i	0.649709	+	0.760183i	$0.274891\pi$
$32$	−0.796093	+	0.605174i	−0.140731	+	0.106981i
$33$	−4.36592	+	0.468619i	−0.760009	+	0.0815761i
$34$	−1.93405	+	5.74005i	−0.331687	+	0.984411i
$35$	0.215214	−	0.283109i	0.0363778	−	0.0478541i
$36$	0.170830	−	2.99513i	0.0284717	−	0.499189i
$37$	−4.30482	−	3.65655i	−0.707708	−	0.601133i	0.219529	−	0.975606i	$-0.429548\pi$
$37$	−4.30482	−	3.65655i	−0.707708	−	0.601133i	−0.927238	+	0.374473i	$0.877824\pi$
$38$	1.39264	−	5.01584i	0.225916	−	0.813676i
$39$	−0.661910	+	1.42544i	−0.105990	+	0.228253i
$40$	−0.608461	−	1.01127i	−0.0962061	−	0.159896i
$41$	−0.179071	−	0.0713485i	−0.0279662	−	0.0111428i	0.356113	−	0.934443i	$-0.384102\pi$
$41$	−0.179071	−	0.0713485i	−0.0279662	−	0.0111428i	−0.384079	+	0.923300i	$0.625481\pi$
$42$	−0.138918	−	0.503077i	−0.0214355	−	0.0776265i
$43$	−0.719384	+	6.61462i	−0.109705	+	1.00872i	0.801845	+	0.597532i	$0.203852\pi$
$43$	−0.719384	+	6.61462i	−0.109705	+	1.00872i	−0.911550	+	0.411189i	$0.865114\pi$
$44$	0.137250	+	2.53142i	0.0206912	+	0.381627i
$45$	3.49236	+	0.582621i	0.520610	+	0.0868520i
$46$	1.46069	+	0.675788i	0.215367	+	0.0996394i
$47$	−0.642133	−	3.91684i	−0.0936647	−	0.571330i	−0.991408	−	0.130810i	$-0.958242\pi$
$47$	−0.642133	−	3.91684i	−0.0936647	−	0.571330i	0.897743	−	0.440520i	$-0.145206\pi$
$48$	−1.72163	−	0.189686i	−0.248496	−	0.0273788i
$49$	3.87736	+	5.71867i	0.553908	+	0.816953i
$50$	−3.27372	+	1.51459i	−0.462974	+	0.214195i
$51$	−9.27604	+	4.90117i	−1.29891	+	0.686301i
$52$	0.801679	+	0.425023i	0.111173	+	0.0589401i
$53$	−3.04142	−	2.06213i	−0.417771	−	0.283256i	0.334136	−	0.942525i	$-0.391555\pi$
$53$	−3.04142	−	2.06213i	−0.417771	−	0.283256i	−0.751907	+	0.659269i	$0.770866\pi$
$54$	3.78741	−	3.55747i	0.515401	−	0.484110i
$55$	−2.98761	−	0.161983i	−0.402849	−	0.0218418i
$56$	−0.294277	+	0.0647753i	−0.0393245	+	0.00865597i
$57$	7.73223	−	4.63755i	1.02416	−	0.614259i
$58$		−	1.67346i		−	0.219736i
$59$	−2.74338	−	7.17453i	−0.357157	−	0.934044i
$59$	−2.74338	−	7.17453i	−0.357157	−	0.934044i
$60$	0.442242	−	1.99577i	0.0570932	−	0.257653i
$61$	4.15138	+	4.38256i	0.531530	+	0.561130i	0.935357	−	0.353706i	$-0.115079\pi$
$61$	4.15138	+	4.38256i	0.531530	+	0.561130i	−0.403826	+	0.914836i	$0.632320\pi$
$62$	0.757421	+	3.44100i	0.0961926	+	0.437007i
$63$	0.425667	−	0.797473i	0.0536290	−	0.100472i
$64$	−0.161782	+	0.986827i	−0.0202227	+	0.123353i
$65$	−0.600972	+	0.886368i	−0.0745414	+	0.109940i
$66$	−2.84737	+	3.34265i	−0.350487	+	0.411452i
$67$	−3.38248	+	2.87310i	−0.413236	+	0.351006i	−0.829761	−	0.558118i	$-0.811523\pi$
$67$	−3.38248	+	2.87310i	−0.413236	+	0.351006i	0.416526	+	0.909124i	$0.363248\pi$
$68$	2.54332	+	5.49730i	0.308423	+	0.666645i
$69$	1.02817	+	2.59110i	0.123777	+	0.311931i
$70$	−0.0384496	−	0.353538i	−0.00459560	−	0.0422559i
$71$	10.9889	−	1.80155i	1.30415	−	0.213804i	0.530643	−	0.847595i	$-0.321950\pi$
$71$	10.9889	−	1.80155i	1.30415	−	0.213804i	0.773504	+	0.633791i	$0.218502\pi$
$72$	−1.93573	−	2.29193i	−0.228128	−	0.270107i
$73$	−12.3998	+	3.44278i	−1.45128	+	0.402946i	−0.901652	−	0.432462i	$-0.857645\pi$
$73$	−12.3998	+	3.44278i	−1.45128	+	0.402946i	−0.549630	+	0.835408i	$0.685231\pi$
$74$	−5.63989	+	0.305786i	−0.655624	+	0.0355469i
$75$	−5.91784	−	2.00321i	−0.683333	−	0.231311i
$76$	−2.43834	−	4.59919i	−0.279697	−	0.527564i
$77$	−0.282746	+	0.709640i	−0.0322219	+	0.0808710i
$78$	0.499730	+	1.49006i	0.0565833	+	0.168716i
$79$	−7.17805	−	1.58001i	−0.807594	−	0.177765i	−0.208062	−	0.978116i	$-0.566716\pi$
$79$	−7.17805	−	1.58001i	−0.807594	−	0.177765i	−0.599532	+	0.800351i	$0.704647\pi$
$80$	−1.13719	−	0.315739i	−0.127142	−	0.0353007i
$81$	8.99986	+	0.0505581i	0.999984	+	0.00561757i
$82$	−0.179071	+	0.0713485i	−0.0197751	+	0.00787912i
$83$	10.9754	+	8.34331i	1.20471	+	0.915797i	0.998038	−	0.0626136i	$-0.0199436\pi$
$83$	10.9754	+	8.34331i	1.20471	+	0.915797i	0.206672	+	0.978410i	$0.433737\pi$
$84$	−0.446820	−	0.269698i	−0.0487520	−	0.0294265i
$85$	−6.77446	+	2.28258i	−0.734793	+	0.247581i
$86$	4.02660	+	5.29691i	0.434200	+	0.571180i
$87$	1.99626	−	2.10151i	0.214021	−	0.225305i
$88$	1.84050	+	1.74342i	0.196198	+	0.185849i
$89$	−3.21162	−	3.04221i	−0.340431	−	0.322473i	0.498315	−	0.866996i	$-0.333952\pi$
$89$	−3.21162	−	3.04221i	−0.340431	−	0.322473i	−0.838746	+	0.544523i	$0.816711\pi$
$90$	2.93611	−	1.97871i	0.309493	−	0.208575i
$91$	0.165462	+	0.217662i	0.0173452	+	0.0228172i
$92$	1.52519	−	0.513898i	0.159012	−	0.0535775i
$93$	−3.15359	+	5.22468i	−0.327012	+	0.541775i
$94$	−3.15979	−	2.40201i	−0.325908	−	0.247749i
$95$	5.70733	−	2.27401i	0.585559	−	0.233308i
$96$	−1.38034	+	1.04625i	−0.140881	+	0.106783i
$97$	5.83361	+	1.61969i	0.592313	+	0.164455i	0.550735	−	0.834680i	$-0.314348\pi$
$97$	5.83361	+	1.61969i	0.592313	+	0.164455i	0.0415785	+	0.999135i	$0.486761\pi$
$98$	6.74767	+	1.48527i	0.681618	+	0.150035i
$99$	−7.56312	+	0.801051i	−0.760122	+	0.0805087i
$100$	−1.33513	+	3.35092i	−0.133513	+	0.335092i
$101$	−1.37467	−	2.59291i	−0.136785	−	0.258004i	0.805651	−	0.592391i	$-0.201816\pi$
$101$	−1.37467	−	2.59291i	−0.136785	−	0.258004i	−0.942436	+	0.334386i	$0.891471\pi$
$102$	−3.36383	+	9.93735i	−0.333069	+	0.983945i
$103$	−1.72269	+	0.0934017i	−0.169742	+	0.00920314i	−0.138814	−	0.990318i	$-0.544329\pi$
$103$	−1.72269	+	0.0934017i	−0.169742	+	0.00920314i	−0.0309280	+	0.999522i	$0.509846\pi$
$104$	0.874304	−	0.242749i	0.0857325	−	0.0238035i
$105$	0.373449	−	0.489835i	0.0364449	−	0.0478030i
$106$	−3.62618	+	0.594483i	−0.352206	+	0.0577413i
$107$	0.933364	+	8.58214i	0.0902317	+	0.829667i	0.948567	+	0.316577i	$0.102534\pi$
$107$	0.933364	+	8.58214i	0.0902317	+	0.829667i	−0.858335	+	0.513090i	$0.828501\pi$
$108$	0.303172	−	5.18730i	0.0291727	−	0.499148i
$109$	−0.628505	−	1.35849i	−0.0601999	−	0.130120i	0.875141	−	0.483869i	$-0.160769\pi$
$109$	−0.628505	−	1.35849i	−0.0601999	−	0.130120i	−0.935340	+	0.353749i	$0.884907\pi$
$110$	−2.28039	+	1.93698i	−0.217426	+	0.184684i
$111$	−7.44727	−	6.34379i	−0.706864	−	0.602126i
$112$	−0.169098	+	0.249401i	−0.0159783	+	0.0235662i
$113$	0.491485	−	2.99792i	0.0462350	−	0.282021i	−0.953582	−	0.301132i	$-0.902635\pi$
$113$	0.491485	−	2.99792i	0.0462350	−	0.282021i	0.999817	+	0.0191113i	$0.00608369\pi$
$114$	2.42432	−	8.68429i	0.227059	−	0.813358i
$115$	0.408332	+	1.85507i	0.0380771	+	0.172986i
$116$	−1.15084	−	1.21492i	−0.106852	−	0.112803i
$117$	−1.14993	+	2.46732i	−0.106311	+	0.228104i
$118$	−6.92560	−	3.32206i	−0.637553	−	0.305820i
$119$			1.82515i			0.167311i
$120$	−1.05142	−	1.75305i	−0.0959815	−	0.160031i
$121$	−4.46614	+	0.983071i	−0.406013	+	0.0893701i
$122$	6.02777	+	0.326816i	0.545729	+	0.0295886i
$123$	−0.309987	−	0.124015i	−0.0279505	−	0.0111820i
$124$	2.91626	+	1.97727i	0.261888	+	0.177564i
$125$	−8.97487	−	4.75818i	−0.802737	−	0.425584i
$126$	−0.239389	−	0.871693i	−0.0213265	−	0.0776565i
$127$	15.8191	−	7.31869i	1.40372	−	0.649429i	0.435649	−	0.900116i	$-0.356519\pi$
$127$	15.8191	−	7.31869i	1.40372	−	0.649429i	0.968068	+	0.250688i	$0.0806567\pi$
$128$	0.561187	+	0.827689i	0.0496024	+	0.0731581i
$129$	−1.26210	+	11.4551i	−0.111122	+	1.00857i
$130$	0.173251	+	1.05679i	0.0151952	+	0.0926864i
$131$	15.6818	+	7.25518i	1.37013	+	0.633888i	0.960478	−	0.278355i	$-0.0897891\pi$
$131$	15.6818	+	7.25518i	1.37013	+	0.633888i	0.409649	+	0.912243i	$0.365651\pi$
$132$	0.231566	+	4.38488i	0.0201552	+	0.381655i
$133$	−0.0849200	−	1.56626i	−0.00736349	−	0.135812i
$134$	−0.479833	+	4.41199i	−0.0414512	+	0.381138i
$135$	6.04752	+	1.01762i	0.520488	+	0.0875831i
$136$	5.62693	+	2.24197i	0.482505	+	0.192248i
$137$	−6.75453	−	11.2261i	−0.577078	−	0.959112i	−0.998631	−	0.0523077i	$-0.983342\pi$
$137$	−6.75453	−	11.2261i	−0.577078	−	0.959112i	0.421553	−	0.906804i	$-0.361485\pi$
$138$	2.52834	+	1.17405i	0.215227	+	0.0999418i
$139$	0.684519	−	2.46542i	0.0580602	−	0.209114i	−0.928830	−	0.370506i	$-0.879184\pi$
$139$	0.684519	−	2.46542i	0.0580602	−	0.209114i	0.986890	+	0.161392i	$0.0515983\pi$
$140$	−0.271042	−	0.230225i	−0.0229072	−	0.0194576i
$141$	−1.10268	−	6.78572i	−0.0928623	−	0.571461i
$142$	6.73900	−	8.86500i	0.565524	−	0.743934i
$143$	0.734499	−	2.17992i	0.0614219	−	0.182294i
$144$	−2.98149	−	0.332733i	−0.248458	−	0.0277277i
$145$	1.57231	−	1.19524i	0.130573	−	0.0992589i
$146$	−6.63457	+	11.0267i	−0.549081	+	0.912580i
$147$	6.70186	+	9.91445i	0.552760	+	0.817730i
$148$	−3.88424	+	4.10055i	−0.319283	+	0.337063i
$149$	−16.1987	−	9.74643i	−1.32705	−	0.798459i	−0.337316	−	0.941391i	$-0.609519\pi$
$149$	−16.1987	−	9.74643i	−1.32705	−	0.798459i	−0.989732	+	0.142933i	$0.954347\pi$
$150$	−5.67393	+	2.61537i	−0.463275	+	0.213544i
$151$	1.90705	+	5.65993i	0.155194	+	0.460598i	0.996840	−	0.0794300i	$-0.0253100\pi$
$151$	1.90705	+	5.65993i	0.155194	+	0.460598i	−0.841647	+	0.540028i	$0.818413\pi$
$152$	−4.93309	−	1.66215i	−0.400126	−	0.134818i
$153$	−16.0785	+	8.46650i	−1.29987	+	0.684476i
$154$	0.282746	+	0.709640i	0.0227844	+	0.0571844i
$155$	−2.69204	+	3.16931i	−0.216229	+	0.254565i
$156$	1.38751	+	0.738111i	0.111090	+	0.0590962i
$157$	2.34381	−	10.6480i	0.187057	−	0.849806i	−0.785815	−	0.618461i	$-0.787756\pi$
$157$	2.34381	−	10.6480i	0.187057	−	0.849806i	0.972872	−	0.231345i	$-0.0743126\pi$
$158$	−6.29780	+	3.78926i	−0.501026	+	0.301458i
$159$	−5.26287	−	3.57911i	−0.417373	−	0.283842i
$160$	−1.04273	+	0.552819i	−0.0824349	+	0.0437042i
$161$	0.482118	+	0.0524335i	0.0379962	+	0.00413234i
$162$	6.56863	−	6.15249i	0.516080	−	0.483385i
$163$	−1.69823	−	6.11648i	−0.133016	−	0.479080i	0.866792	−	0.498669i	$-0.166178\pi$
$163$	−1.69823	−	6.11648i	−0.133016	−	0.479080i	−0.999808	+	0.0195896i	$0.993764\pi$
$164$	−0.0809386	+	0.174946i	−0.00632024	+	0.0136610i
$165$	−5.17429	−	0.287830i	−0.402818	−	0.0224076i
$166$	13.7058	−	1.49060i	1.06378	−	0.115693i
$167$	21.3303	−	14.4623i	1.65059	−	1.11913i	0.782651	−	0.622460i	$-0.213867\pi$
$167$	21.3303	−	14.4623i	1.65059	−	1.11913i	0.867940	−	0.496669i	$-0.165444\pi$
$168$	−0.509860	+	0.111478i	−0.0393366	+	0.00860073i
$169$	7.88301	+	9.28059i	0.606385	+	0.713892i
$170$	−3.34850	+	6.31594i	−0.256818	+	0.484410i
$171$	13.4039	−	8.01366i	1.02502	−	0.612820i
$172$	6.56597	+	1.07644i	0.500651	+	0.0820775i
$173$	0.312817	−	5.76958i	0.0237831	−	0.438653i	−0.962257	−	0.272143i	$-0.912268\pi$
$173$	0.312817	−	5.76958i	0.0237831	−	0.438653i	0.986040	−	0.166510i	$-0.0532497\pi$
$174$	0.00407067	−	2.89851i	0.000308596	−	0.219735i
$175$	−0.789086	+	0.747462i	−0.0596493	+	0.0565028i
$176$	2.53514			0.191094
$177$	−4.73421	−	12.4333i	−0.355845	−	0.934545i
$178$	−4.42374			−0.331574
$179$	4.52715	−	4.28834i	0.338375	−	0.320526i	−0.499577	−	0.866269i	$-0.666511\pi$
$179$	4.52715	−	4.28834i	0.338375	−	0.320526i	0.837952	+	0.545744i	$0.183753\pi$
$180$	0.770839	−	3.45570i	0.0574549	−	0.257572i
$181$	1.29257	−	23.8401i	0.0960760	−	1.77202i	−0.412459	−	0.910976i	$-0.635330\pi$
$181$	1.29257	−	23.8401i	0.0960760	−	1.77202i	0.508535	−	0.861041i	$-0.330187\pi$
$182$	0.269811	+	0.0442333i	0.0199997	+	0.00327879i
$183$	7.17974	+	7.60091i	0.530742	+	0.561876i
$184$	0.753877	−	1.42196i	0.0555765	−	0.104828i
$185$	−4.31549	−	5.08059i	−0.317281	−	0.373532i
$186$	1.30352	+	5.96182i	0.0955787	+	0.437142i
$187$	12.7097	−	8.61741i	0.929427	−	0.630167i
$188$	−3.94586	+	0.429138i	−0.287781	+	0.0312981i
$189$	0.739216	−	1.38023i	0.0537701	−	0.100397i
$190$	2.57966	−	5.57584i	0.187148	−	0.404514i
$191$	−2.97196	−	10.7040i	−0.215043	−	0.774516i	−0.989825	−	0.142288i	$-0.954554\pi$
$191$	−2.97196	−	10.7040i	−0.215043	−	0.774516i	0.774782	−	0.632229i	$-0.217860\pi$
$192$	−0.282615	+	1.70884i	−0.0203960	+	0.123325i
$193$	9.47043	+	1.02997i	0.681697	+	0.0741390i	0.442414	−	0.896811i	$-0.354122\pi$
$193$	9.47043	+	1.02997i	0.681697	+	0.0741390i	0.239283	+	0.970950i	$0.423088\pi$
$194$	5.34904	−	2.83588i	0.384038	−	0.203604i
$195$	−1.04307	+	1.53377i	−0.0746957	+	0.109836i
$196$	5.92020	−	3.56207i	0.422872	−	0.254433i
$197$	2.61221	−	11.8674i	0.186112	−	0.845517i	−0.787320	−	0.616544i	$-0.788532\pi$
$197$	2.61221	−	11.8674i	0.186112	−	0.845517i	0.973433	−	0.228973i	$-0.0735368\pi$
$198$	−4.93991	+	5.78272i	−0.351064	+	0.410960i
$199$	14.7374	−	17.3503i	1.04471	−	1.22993i	0.0721203	−	0.997396i	$-0.477023\pi$
$199$	14.7374	−	17.3503i	1.04471	−	1.22993i	0.972589	−	0.232531i	$-0.0747007\pi$
$200$	1.33513	+	3.35092i	0.0944078	+	0.236946i
$201$	−5.86561	+	4.96813i	−0.413728	+	0.350425i
$202$	−2.78115	−	0.937079i	−0.195681	−	0.0659327i
$203$	−0.161008	−	0.477854i	−0.0113005	−	0.0335387i
$204$	4.39179	+	9.52778i	0.307486	+	0.667078i
$205$	−0.194934	−	0.117288i	−0.0136148	−	0.00819175i
$206$	−1.18643	+	1.25250i	−0.0826628	+	0.0872661i
$207$	1.77454	+	4.49041i	0.123339	+	0.312105i
$208$	0.467802	−	0.777493i	0.0324362	−	0.0539094i
$209$	−10.5060	+	7.98642i	−0.726712	+	0.552432i
$210$	−0.0657366	−	0.612439i	−0.00453626	−	0.0422623i
$211$	1.21291	−	3.59980i	0.0835004	−	0.247820i	−0.897767	−	0.440470i	$-0.854812\pi$
$211$	1.21291	−	3.59980i	0.0835004	−	0.247820i	0.981268	+	0.192650i	$0.0617082\pi$
$212$	−2.22377	+	2.92532i	−0.152729	+	0.200912i
$213$	19.0378	−	3.09363i	1.30445	−	0.211972i
$214$	6.57955	+	5.58872i	0.449769	+	0.382037i
$215$	−2.10081	+	7.56643i	−0.143274	+	0.516027i
$216$	−3.34720	−	3.97445i	−0.227748	−	0.270427i
$217$	0.547348	+	0.909700i	0.0371564	+	0.0617544i
$218$	−1.39053	−	0.554036i	−0.0941783	−	0.0375241i
$219$	−21.4854	+	5.93289i	−1.45185	+	0.400908i
$220$	−0.323492	+	2.97446i	−0.0218098	+	0.200538i
$221$	−0.297553	−	5.48804i	−0.0200156	−	0.369166i
$222$	−9.76931	+	0.515917i	−0.655673	+	0.0346261i
$223$	−14.6756	−	6.78966i	−0.982751	−	0.454669i	−0.138352	−	0.990383i	$-0.544180\pi$
$223$	−14.6756	−	6.78966i	−0.982751	−	0.454669i	−0.844399	+	0.535714i	$0.820042\pi$
$224$	0.0487485	+	0.297353i	0.00325715	+	0.0198677i
$225$	−10.2451	−	3.48406i	−0.683008	−	0.232270i
$226$	−1.70486	−	2.51447i	−0.113405	−	0.167260i
$227$	7.32139	−	3.38723i	0.485938	−	0.224819i	−0.161594	−	0.986857i	$-0.551663\pi$
$227$	7.32139	−	3.38723i	0.485938	−	0.224819i	0.647532	+	0.762039i	$0.275801\pi$
$228$	−4.21213	−	7.97196i	−0.278955	−	0.527956i
$229$	20.1976	+	10.7081i	1.33470	+	0.707612i	0.974314	−	0.225192i	$-0.0723009\pi$
$229$	20.1976	+	10.7081i	1.33470	+	0.707612i	0.360384	+	0.932804i	$0.382646\pi$
$230$	1.57218	+	1.06596i	0.103666	+	0.0702875i
$231$	−0.491457	+	1.22844i	−0.0323355	+	0.0808257i
$232$	−1.67100	−	0.0905991i	−0.109707	−	0.00594812i
$233$	−14.7162	+	3.23928i	−0.964091	+	0.212212i	−0.669005	−	0.743258i	$-0.733279\pi$
$233$	−14.7162	+	3.23928i	−0.964091	+	0.212212i	−0.295086	+	0.955471i	$0.595348\pi$
$234$	0.861932	+	2.58207i	0.0563463	+	0.168795i
$235$		−	4.68440i		−	0.305576i
$236$	−7.31253	+	2.35093i	−0.476005	+	0.153033i
$237$	−12.4289	−	2.75411i	−0.807343	−	0.178899i
$238$	1.25515	+	1.32505i	0.0813594	+	0.0858901i
$239$	0.988310	+	4.48994i	0.0639284	+	0.290430i	0.997728	−	0.0673659i	$-0.0214595\pi$
$239$	0.988310	+	4.48994i	0.0639284	+	0.290430i	−0.933800	+	0.357796i	$0.883528\pi$
$240$	−1.96890	−	0.549642i	−0.127092	−	0.0354792i
$241$	−3.60645	+	21.9984i	−0.232312	+	1.41704i	0.570741	+	0.821130i	$0.306656\pi$
$241$	−3.60645	+	21.9984i	−0.232312	+	1.41704i	−0.803052	+	0.595909i	$0.796792\pi$
$242$	−2.56634	+	3.78507i	−0.164970	+	0.243313i
$243$	15.5881	+	0.109461i	0.999975	+	0.00702194i
$244$	4.60089	−	3.90803i	0.294542	−	0.250186i
$245$	3.42390	+	7.40064i	0.218745	+	0.472810i
$246$	−0.310334	+	0.123143i	−0.0197861	+	0.00785134i
$247$	0.510693	+	4.69574i	0.0324946	+	0.298783i
$248$	3.47696	−	0.570018i	0.220787	−	0.0361962i
$249$	18.9897	+	14.4777i	1.20342	+	0.917488i
$250$	−9.78791	+	2.71760i	−0.619042	+	0.171876i
$251$	−3.70918	+	0.201106i	−0.234121	+	0.0126937i	−0.170826	−	0.985301i	$-0.554644\pi$
$251$	−3.70918	+	0.201106i	−0.234121	+	0.0126937i	−0.0632950	+	0.997995i	$0.520161\pi$
$252$	−0.773258	−	0.468217i	−0.0487107	−	0.0294949i
$253$	−1.91118	−	3.60488i	−0.120155	−	0.226637i
$254$	6.45153	−	16.1921i	0.404805	−	1.01598i
$255$	−11.7392	+	3.93706i	−0.735140	+	0.246549i
$256$	0.976621	+	0.214970i	0.0610388	+	0.0134357i
$257$	4.94575	+	1.37318i	0.308508	+	0.0856567i	0.418332	−	0.908294i	$-0.362615\pi$
$257$	4.94575	+	1.37318i	0.308508	+	0.0856567i	−0.109824	+	0.993951i	$0.535029\pi$
$258$	6.96139	+	9.18430i	0.433397	+	0.571789i
$259$	−1.58104	+	0.629945i	−0.0982412	+	0.0391429i
$260$	0.852532	+	0.648078i	0.0528718	+	0.0401921i
$261$	3.46273	−	3.63505i	0.214338	−	0.225004i
$262$	16.3743	−	5.51715i	1.01161	−	0.340851i
$263$	16.5990	+	21.8356i	1.02354	+	1.34644i	0.936668	+	0.350219i	$0.113893\pi$
$263$	16.5990	+	21.8356i	1.02354	+	1.34644i	0.0868681	+	0.996220i	$0.472314\pi$
$264$	3.18360	+	3.02416i	0.195937	+	0.186124i
$265$	−3.14849	−	2.98240i	−0.193410	−	0.183208i
$266$	−1.13877	−	1.07870i	−0.0698222	−	0.0661391i
$267$	−5.55528	−	5.27706i	−0.339978	−	0.322951i
$268$	2.68577	+	3.53307i	0.164059	+	0.215816i
$269$	−16.7295	+	5.63684i	−1.02002	+	0.343684i	−0.779126	−	0.626867i	$-0.784337\pi$
$269$	−16.7295	+	5.63684i	−1.02002	+	0.343684i	−0.240893	+	0.970552i	$0.577440\pi$
$270$	5.09029	−	3.42009i	0.309785	−	0.208140i
$271$	1.14211	+	0.868210i	0.0693783	+	0.0527400i	0.639289	−	0.768967i	$-0.279229\pi$
$271$	1.14211	+	0.868210i	0.0693783	+	0.0527400i	−0.569910	+	0.821707i	$0.693022\pi$
$272$	5.62693	−	2.24197i	0.341183	−	0.135940i
$273$	0.286060	+	0.377404i	0.0173131	+	0.0228415i
$274$	−12.6239	−	3.50502i	−0.762641	−	0.211746i
$275$	8.93074	+	1.96580i	0.538544	+	0.118542i
$276$	2.64296	−	0.886386i	0.159088	−	0.0533542i
$277$	−2.36688	+	5.94042i	−0.142212	+	0.356925i	−0.982780	−	0.184781i	$-0.940842\pi$
$277$	−2.36688	+	5.94042i	−0.142212	+	0.356925i	0.840568	+	0.541707i	$0.182222\pi$
$278$	−1.19851	−	2.26062i	−0.0718817	−	0.135583i
$279$	−5.47488	+	9.04174i	−0.327773	+	0.541315i
$280$	−0.355101	+	0.0192530i	−0.0212214	+	0.00115059i
$281$	−13.8248	+	3.83842i	−0.824716	+	0.228981i	−0.654150	−	0.756365i	$-0.726973\pi$
$281$	−13.8248	+	3.83842i	−0.824716	+	0.228981i	−0.170566	+	0.985346i	$0.554560\pi$
$282$	−5.46707	−	4.16809i	−0.325560	−	0.248206i
$283$	−21.5251	+	3.52887i	−1.27954	+	0.209769i	−0.762946	−	0.646463i	$-0.776248\pi$
$283$	−21.5251	+	3.52887i	−1.27954	+	0.209769i	−0.516591	+	0.856232i	$0.672799\pi$
$284$	−1.20397	−	11.0704i	−0.0714427	−	0.656905i
$285$	9.89090	−	3.92481i	0.585886	−	0.232486i
$286$	−0.965884	−	2.08772i	−0.0571139	−	0.123450i
$287$	−0.0442689	+	0.0376024i	−0.00261311	+	0.00221960i
$288$	−2.39337	+	1.80881i	−0.141031	+	0.106585i
$289$	11.0491	−	16.2962i	0.649946	−	0.958599i
$290$	0.319524	−	1.94901i	0.0187631	−	0.114450i
$291$	10.1002	+	2.81958i	0.592082	+	0.165287i
$292$	2.76642	+	12.5680i	0.161892	+	0.735484i
$293$	7.87355	+	8.31200i	0.459978	+	0.485592i	0.914181	−	0.405305i	$-0.132835\pi$
$293$	7.87355	+	8.31200i	0.459978	+	0.485592i	−0.454204	+	0.890898i	$0.650076\pi$
$294$	11.6837	+	2.58898i	0.681406	+	0.150993i
$295$	−1.82522	−	8.87970i	−0.106269	−	0.516996i
$296$			5.64817i			0.328293i
$297$	−13.1016	+	1.36906i	−0.760235	+	0.0794411i
$298$	−18.4628	+	4.06397i	−1.06952	+	0.235419i
$299$	−1.45823	−	0.0790630i	−0.0843317	−	0.00457233i
$300$	−2.32066	+	5.80071i	−0.133983	+	0.334904i
$301$	1.65942	+	1.12512i	0.0956474	+	0.0648506i
$302$	5.27684	+	2.79760i	0.303648	+	0.160984i
$303$	−2.37470	−	4.49439i	−0.136423	−	0.258196i
$304$	−4.72446	+	2.18577i	−0.270966	+	0.125362i
$305$	3.99816	+	5.89685i	0.228934	+	0.337653i
$306$	−5.85049	+	17.2038i	−0.334450	+	0.983476i
$307$	−0.437471	−	2.66846i	−0.0249678	−	0.152297i	0.971400	−	0.237448i	$-0.0763109\pi$
$307$	−0.437471	−	2.66846i	−0.0249678	−	0.152297i	−0.996368	+	0.0851512i	$0.972863\pi$
$308$	0.693292	+	0.320751i	0.0395040	+	0.0182765i
$309$	−2.98401	+	0.157586i	−0.169755	+	0.00896474i
$310$	0.225127	+	4.15221i	0.0127863	+	0.235830i
$311$	3.44581	−	31.6837i	0.195394	−	1.79662i	−0.328159	−	0.944623i	$-0.606428\pi$
$311$	3.44581	−	31.6837i	0.195394	−	1.79662i	0.523552	−	0.851994i	$-0.324606\pi$
$312$	1.51493	−	0.418327i	0.0857659	−	0.0236831i
$313$	−4.31269	−	1.71833i	−0.243767	−	0.0971258i	0.245055	−	0.969509i	$-0.421194\pi$
$313$	−4.31269	−	1.71833i	−0.243767	−	0.0971258i	−0.488822	+	0.872383i	$0.662573\pi$
$314$	−5.62106	−	9.34227i	−0.317215	−	0.527215i
$315$	0.648024	−	0.847510i	0.0365120	−	0.0477518i
$316$	−1.96630	+	7.08198i	−0.110613	+	0.398393i
$317$	18.1940	+	15.4541i	1.02187	+	0.867988i	0.991310	−	0.131545i	$-0.0419937\pi$
$317$	18.1940	+	15.4541i	1.02187	+	0.867988i	0.0305643	+	0.999533i	$0.490270\pi$
$318$	−6.28218	+	1.02085i	−0.352287	+	0.0572466i
$319$	−2.56742	+	3.37739i	−0.143748	+	0.189097i
$320$	−0.376842	+	1.11843i	−0.0210661	+	0.0625220i
$321$	1.59576	+	14.8670i	0.0890664	+	0.829793i
$322$	0.386074	−	0.293486i	0.0215151	−	0.0163553i
$323$	−16.2559	+	27.0175i	−0.904500	+	1.50329i
$324$	0.537726	−	8.98392i	0.0298737	−	0.499107i
$325$	2.25085	−	2.37619i	0.124855	−	0.131807i
$326$	−5.43921	−	3.27266i	−0.301250	−	0.181256i
$327$	−1.08530	−	2.35450i	−0.0600171	−	0.130204i
$328$	0.0615491	+	0.182671i	0.00339848	+	0.0100863i
$329$	−1.13338	−	0.381880i	−0.0624852	−	0.0210537i
$330$	−3.95445	+	3.34939i	−0.217685	+	0.184378i
$331$	7.21044	+	18.0968i	0.396321	+	0.994692i	0.982791	+	0.184721i	$0.0591380\pi$
$331$	7.21044	+	18.0968i	0.396321	+	0.994692i	−0.586470	+	0.809971i	$0.699483\pi$
$332$	8.92527	−	10.5076i	0.489838	−	0.576681i
$333$	−12.8836	−	11.0059i	−0.706017	−	0.603118i
$334$	5.54000	−	25.1685i	0.303135	−	1.37716i
$335$	−4.48802	+	2.70035i	−0.245207	+	0.147536i
$336$	−0.293493	+	0.431563i	−0.0160113	+	0.0235437i
$337$	7.80306	−	4.13692i	0.425060	−	0.225353i	−0.242124	−	0.970245i	$-0.577844\pi$
$337$	7.80306	−	4.13692i	0.425060	−	0.225353i	0.667184	+	0.744893i	$0.267499\pi$
$338$	12.1053	+	1.31653i	0.658441	+	0.0716097i
$339$	0.858568	−	5.19136i	0.0466310	−	0.281956i
$340$	1.91247	+	6.88810i	0.103718	+	0.373560i
$341$	3.75056	−	8.10669i	0.203104	−	0.439002i
$342$	4.22017	−	15.0357i	0.228201	−	0.813039i
$343$	4.16658	−	0.453143i	0.224974	−	0.0244674i
$344$	5.50713	−	3.73393i	0.296925	−	0.201320i
$345$	0.702738	+	3.21406i	0.0378341	+	0.173039i
$346$	−3.74063	−	4.40381i	−0.201098	−	0.236750i
$347$	−16.4385	+	31.0062i	−0.882462	+	1.66450i	−0.144662	+	0.989481i	$0.546210\pi$
$347$	−16.4385	+	31.0062i	−0.882462	+	1.66450i	−0.737800	+	0.675019i	$0.764135\pi$
$348$	−1.99035	−	2.10710i	−0.106694	−	0.112953i
$349$	−21.7912	−	3.57249i	−1.16646	−	0.191231i	−0.452726	−	0.891650i	$-0.649548\pi$
$349$	−21.7912	−	3.57249i	−1.16646	−	0.191231i	−0.713732	+	0.700419i	$0.752997\pi$
$350$	−0.0588437	+	1.08531i	−0.00314533	+	0.0580121i
$351$	−1.99773	+	4.27072i	−0.106631	+	0.227954i
$352$	1.84050	−	1.74342i	0.0980991	−	0.0929244i
$353$	−20.1109			−1.07040			−0.535199	−	0.844726i	$-0.679763\pi$
$353$	−20.1109			−1.07040			−0.535199	+	0.844726i	$0.679763\pi$
$354$	−11.9874	−	5.77081i	−0.637123	−	0.306715i
$355$	13.1424			0.697524
$356$	−3.21162	+	3.04221i	−0.170215	+	0.161237i
$357$	−0.00443965	+	3.16124i	−0.000234971	+	0.167311i
$358$	0.337598	−	6.22663i	0.0178426	−	0.329088i
$359$	−10.2956	−	1.68788i	−0.543382	−	0.0890830i	−0.116162	−	0.993230i	$-0.537059\pi$
$359$	−10.2956	−	1.68788i	−0.543382	−	0.0890830i	−0.427221	+	0.904147i	$0.640507\pi$
$360$	−1.81685	−	3.03892i	−0.0957566	−	0.160165i
$361$	3.79321	−	7.15476i	0.199643	−	0.376566i
$362$	−15.4564	−	18.1967i	−0.812370	−	0.956396i
$363$	−7.73796	+	1.69186i	−0.406138	+	0.0887998i
$364$	0.226301	−	0.153436i	0.0118614	−	0.00804222i
$365$	−15.0989	+	1.64210i	−0.790311	+	0.0859515i
$366$	10.4396	+	0.580724i	0.545687	+	0.0303549i
$367$	−12.5867	+	27.2057i	−0.657019	+	1.42012i	0.236738	+	0.971573i	$0.423922\pi$
$367$	−12.5867	+	27.2057i	−0.657019	+	1.42012i	−0.893757	+	0.448551i	$0.851940\pi$
$368$	−0.430572	−	1.55078i	−0.0224451	−	0.0808399i
$369$	−0.536610	−	0.215554i	−0.0279348	−	0.0112213i
$370$	−6.62694	−	0.720723i	−0.344518	−	0.0374686i
$371$	−0.978256	+	0.518639i	−0.0507885	+	0.0269264i
$372$	5.04629	+	3.43182i	0.261638	+	0.177932i
$373$	−29.6436	+	17.8359i	−1.53489	+	0.923510i	−0.538144	+	0.842853i	$0.680874\pi$
$373$	−29.6436	+	17.8359i	−1.53489	+	0.923510i	−0.996742	+	0.0806576i	$0.974298\pi$
$374$	3.30102	−	14.9967i	0.170692	−	0.775459i
$375$	−15.5333	−	8.26323i	−0.802139	−	0.426711i
$376$	−2.56956	+	3.02512i	−0.132515	+	0.156009i
$377$	0.562039	+	1.41061i	0.0289465	+	0.0726502i
$378$	−0.412513	−	1.51040i	−0.0212174	−	0.0776864i
$379$	16.7652	+	5.64886i	0.861172	+	0.290162i	0.715024	−	0.699100i	$-0.246416\pi$
$379$	16.7652	+	5.64886i	0.861172	+	0.290162i	0.146148	+	0.989263i	$0.453312\pi$
$380$	−1.96168	−	5.82207i	−0.100632	−	0.298666i
$381$	27.4172	−	12.6379i	1.40463	−	0.647457i
$382$	−9.51878	−	5.72726i	−0.487023	−	0.293032i
$383$	10.3999	−	10.9790i	0.531410	−	0.561002i	−0.403913	−	0.914797i	$-0.632350\pi$
$383$	10.3999	−	10.9790i	0.531410	−	0.561002i	0.935323	+	0.353795i	$0.115109\pi$
$384$	0.969990	+	1.43496i	0.0494996	+	0.0732277i
$385$	−0.464800	+	0.772503i	−0.0236884	+	0.0393704i
$386$	7.58380	−	5.76506i	0.386005	−	0.293434i
$387$	−2.21388	+	19.8377i	−0.112538	+	1.00841i
$388$	1.93314	−	5.73737i	0.0981405	−	0.291271i
$389$	−19.0941	+	25.1178i	−0.968109	+	1.27352i	−0.00624915	+	0.999980i	$0.501989\pi$
$389$	−19.0941	+	25.1178i	−0.968109	+	1.27352i	−0.961859	+	0.273544i	$0.911804\pi$
$390$	0.297509	+	1.83083i	0.0150650	+	0.0927076i
$391$	−7.43001	−	6.31111i	−0.375752	−	0.319167i
$392$	1.84841	−	6.65736i	0.0933587	−	0.336248i
$393$	27.1440	+	12.6045i	1.36924	+	0.635812i
$394$	−6.26475	−	10.4121i	−0.315614	−	0.524554i
$395$	−8.05831	−	3.21073i	−0.405458	−	0.161549i
$396$	0.390417	+	7.59540i	0.0196192	+	0.381683i
$397$	−1.53007	+	14.0688i	−0.0767922	+	0.706092i	0.890942	+	0.454118i	$0.150045\pi$
$397$	−1.53007	+	14.0688i	−0.0767922	+	0.706092i	−0.967734	+	0.251975i	$0.918920\pi$
$398$	−1.23245	−	22.7311i	−0.0617769	−	1.13941i
$399$	−0.143276	−	2.71304i	−0.00717275	−	0.135822i
$400$	3.27372	+	1.51459i	0.163686	+	0.0757293i
$401$	−0.0753618	−	0.459687i	−0.00376339	−	0.0229557i	0.984878	−	0.173249i	$-0.0554265\pi$
$401$	−0.0753618	−	0.459687i	−0.00376339	−	0.0229557i	−0.988641	+	0.150293i	$0.951978\pi$
$402$	−0.841826	+	7.64062i	−0.0419865	+	0.381079i
$403$	−1.79413	−	2.64615i	−0.0893721	−	0.131814i
$404$	−2.66353	+	1.23228i	−0.132516	+	0.0613083i
$405$	10.4721	+	1.77728i	0.520364	+	0.0883139i
$406$	−0.445510	−	0.236195i	−0.0221103	−	0.0117221i
$407$	11.8516	+	8.03559i	0.587463	+	0.398310i
$408$	9.74066	+	3.89690i	0.482235	+	0.192925i
$409$	1.03653	+	0.0561991i	0.0512532	+	0.00277887i	0.0797477	−	0.996815i	$-0.474589\pi$
$409$	1.03653	+	0.0561991i	0.0512532	+	0.00277887i	−0.0284945	+	0.999594i	$0.509071\pi$
$410$	−0.222180	+	0.0489056i	−0.0109727	+	0.00241527i
$411$	−11.6719	−	19.4606i	−0.575731	−	0.959921i
$412$			1.72522i			0.0849956i
$413$	−2.29722	−	0.282280i	−0.113039	−	0.0138901i
$414$	4.37636	+	2.03966i	0.215086	+	0.100244i
$415$	11.1896	+	11.8127i	0.549276	+	0.579864i
$416$	−0.195059	−	0.886164i	−0.00956357	−	0.0434477i
$417$	1.19162	−	4.26856i	0.0583538	−	0.209032i
$418$	−2.13502	+	13.0230i	−0.104427	+	0.636978i
$419$	−14.0112	+	20.6649i	−0.684490	+	1.00955i	0.313706	+	0.949520i	$0.398429\pi$
$419$	−14.0112	+	20.6649i	−0.684490	+	1.00955i	−0.998197	+	0.0600278i	$0.980881\pi$
$420$	−0.468898	−	0.399421i	−0.0228799	−	0.0194897i
$421$	16.8868	−	14.3438i	0.823013	−	0.699074i	−0.133409	−	0.991061i	$-0.542592\pi$
$421$	16.8868	−	14.3438i	0.823013	−	0.699074i	0.956422	+	0.291987i	$0.0943165\pi$
$422$	−1.59501	−	3.44756i	−0.0776439	−	0.167824i
$423$	−1.89339	−	11.7559i	−0.0920596	−	0.571590i
$424$	0.397293	+	3.65305i	0.0192943	+	0.177408i
$425$	21.5609	−	3.53473i	1.04586	−	0.171460i
$426$	11.6938	−	15.3382i	0.566568	−	0.743139i
$427$	1.75267	−	0.486626i	0.0848175	−	0.0235495i
$428$	8.62009	−	0.467368i	0.416668	−	0.0225911i
$429$	1.27749	−	3.77394i	0.0616779	−	0.182207i
$430$	3.67825	+	6.93792i	0.177381	+	0.334576i
$431$	9.34576	−	23.4561i	0.450169	−	1.12984i	−0.512386	−	0.858755i	$-0.671238\pi$
$431$	9.34576	−	23.4561i	0.450169	−	1.12984i	0.962555	−	0.271085i	$-0.0873824\pi$
$432$	−5.16328	−	0.583562i	−0.248418	−	0.0280766i
$433$	−26.5714	−	5.84881i	−1.27694	−	0.281076i	−0.475801	−	0.879553i	$-0.657842\pi$
$433$	−26.5714	−	5.84881i	−1.27694	−	0.281076i	−0.801140	+	0.598477i	$0.795773\pi$
$434$	1.02297	+	0.284027i	0.0491042	+	0.0136337i
$435$	2.72622	−	2.06638i	0.130712	−	0.0990754i
$436$	−1.39053	+	0.554036i	−0.0665941	+	0.0265335i
$437$	6.66974	+	5.07020i	0.319057	+	0.242541i
$438$	−11.5182	+	19.0827i	−0.550362	+	0.911808i
$439$	−14.4181	+	4.85803i	−0.688139	+	0.231861i	−0.641582	−	0.767054i	$-0.721722\pi$
$439$	−14.4181	+	4.85803i	−0.688139	+	0.231861i	−0.0465574	+	0.998916i	$0.514825\pi$
$440$	1.81068	+	2.38191i	0.0863207	+	0.113553i
$441$	11.5838	+	17.1886i	0.551611	+	0.818506i
$442$	−3.99014	−	3.77967i	−0.189792	−	0.179780i
$443$	26.6636	+	25.2571i	1.26683	+	1.20000i	0.969463	+	0.245237i	$0.0788657\pi$
$443$	26.6636	+	25.2571i	1.26683	+	1.20000i	0.297363	+	0.954765i	$0.403893\pi$
$444$	−6.73768	+	7.09290i	−0.319756	+	0.336614i
$445$	−3.15958	−	4.15635i	−0.149778	−	0.197030i
$446$	−15.3237	+	5.16314i	−0.725597	+	0.244482i
$447$	−28.0332	−	16.9207i	−1.32593	−	0.800321i
$448$	0.239880	+	0.182352i	0.0113333	+	0.00861534i
$449$	9.49985	−	3.78509i	0.448326	−	0.178629i	−0.135038	−	0.990840i	$-0.543116\pi$
$449$	9.49985	−	3.78509i	0.448326	−	0.178629i	0.583364	+	0.812211i	$0.301736\pi$
$450$	−9.83389	+	4.51615i	−0.463574	+	0.212894i
$451$	0.470866	+	0.130735i	0.0221722	+	0.00615609i
$452$	−2.96692	−	0.653068i	−0.139552	−	0.0307177i
$453$	3.28934	+	9.80791i	0.154547	+	0.460816i
$454$	2.98590	−	7.49403i	0.140135	−	0.351712i
$455$	0.151148	+	0.285095i	0.00708593	+	0.0133655i
$456$	−8.54031	−	2.89093i	−0.399936	−	0.135380i
$457$	7.22184	−	0.391557i	0.337824	−	0.0183163i	0.115553	−	0.993301i	$-0.463136\pi$
$457$	7.22184	−	0.391557i	0.337824	−	0.0183163i	0.222271	+	0.974985i	$0.428653\pi$
$458$	22.0274	−	6.11587i	1.02927	−	0.285776i
$459$	−27.8693	+	14.6253i	−1.30083	+	0.682650i
$460$	1.87445	−	0.307301i	0.0873969	−	0.0143280i
$461$	4.59337	+	42.2353i	0.213935	+	1.96710i	0.251686	+	0.967809i	$0.419015\pi$
$461$	4.59337	+	42.2353i	0.213935	+	1.96710i	−0.0377515	+	0.999287i	$0.512020\pi$
$462$	0.488005	+	1.22982i	0.0227040	+	0.0572164i
$463$	4.18290	+	9.04118i	0.194396	+	0.420179i	0.980122	−	0.198395i	$-0.0635727\pi$
$463$	4.18290	+	9.04118i	0.194396	+	0.420179i	−0.785727	+	0.618574i	$0.787711\pi$
$464$	−1.27545	+	1.08337i	−0.0592111	+	0.0502943i
$465$	−4.67045	+	5.48285i	−0.216587	+	0.254261i
$466$	−8.45625	+	12.4720i	−0.391728	+	0.577756i
$467$	2.40707	−	14.6825i	0.111386	−	0.679423i	−0.870818	−	0.491605i	$-0.836410\pi$
$467$	2.40707	−	14.6825i	0.111386	−	0.679423i	0.982204	−	0.187818i	$-0.0601415\pi$
$468$	2.40145	+	1.28182i	0.111007	+	0.0592522i
$469$	0.287473	+	1.30600i	0.0132743	+	0.0603057i
$470$	−3.22146	−	3.40085i	−0.148595	−	0.156869i
$471$	4.08550	−	18.4372i	0.188250	−	0.849543i
$472$	−3.69213	+	6.73559i	−0.169944	+	0.310031i
$473$		−	16.8679i		−	0.775586i
$474$	−10.9173	+	6.54787i	−0.501449	+	0.300754i
$475$	−18.3381	+	4.03652i	−0.841410	+	0.185208i
$476$	1.82247	+	0.0988114i	0.0835327	+	0.00452901i
$477$	−9.10685	−	6.21200i	−0.416974	−	0.284428i
$478$	3.80523	+	2.58001i	0.174047	+	0.118007i
$479$	−13.9891	−	7.41655i	−0.639178	−	0.338871i	0.117101	−	0.993120i	$-0.462640\pi$
$479$	−13.9891	−	7.41655i	−0.639178	−	0.338871i	−0.756279	+	0.654249i	$0.772985\pi$
$480$	−1.80740	+	0.954974i	−0.0824962	+	0.0435884i
$481$	4.65135	−	2.15194i	0.212083	−	0.0981201i
$482$	12.5100	+	18.4509i	0.569815	+	0.840414i
$483$	0.834924	+	0.0919901i	0.0379904	+	0.00418569i
$484$	0.739838	+	4.51281i	0.0336290	+	0.205128i
$485$	6.48492	+	3.00024i	0.294465	+	0.136234i
$486$	11.3921	−	10.6404i	0.516758	−	0.482660i
$487$	−1.31870	−	24.3220i	−0.0597560	−	1.10213i	−0.862581	−	0.505919i	$-0.831153\pi$
$487$	−1.31870	−	24.3220i	−0.0597560	−	1.10213i	0.802825	−	0.596215i	$-0.203329\pi$
$488$	0.652674	−	6.00124i	0.0295452	−	0.271663i
$489$	−2.92654	−	10.5982i	−0.132343	−	0.479266i
$490$	7.57516	+	3.01822i	0.342211	+	0.136349i
$491$	−5.75797	−	9.56983i	−0.259854	−	0.431880i	0.699274	−	0.714854i	$-0.253507\pi$
$491$	−5.75797	−	9.56983i	−0.259854	−	0.431880i	−0.959128	+	0.282973i	$0.908679\pi$
$492$	−0.140615	+	0.302818i	−0.00633942	+	0.0136521i
$493$	−2.71176	+	9.76687i	−0.122131	+	0.439878i
$494$	3.60002	+	3.05788i	0.161972	+	0.137581i
$495$	−8.96142	−	0.511123i	−0.402786	−	0.0229733i
$496$	2.13225	−	2.80493i	0.0957410	−	0.125945i
$497$	1.07139	−	3.17977i	0.0480583	−	0.142632i
$498$	23.7427	−	2.54845i	1.06394	−	0.114199i
$499$	11.0999	−	8.43789i	0.496898	−	0.377732i	−0.326499	−	0.945197i	$-0.605869\pi$
$499$	11.0999	−	8.43789i	0.496898	−	0.377732i	0.823397	+	0.567466i	$0.192076\pi$
$500$	−5.23709	+	8.70411i	−0.234210	+	0.389260i
$501$	36.9804	−	24.9976i	1.65216	−	1.11681i
$502$	−2.55455	+	2.69680i	−0.114015	+	0.120364i
$503$	20.8110	+	12.5215i	0.927915	+	0.558308i	0.897396	−	0.441226i	$-0.145456\pi$
$503$	20.8110	+	12.5215i	0.927915	+	0.558308i	0.0305190	+	0.999534i	$0.490284\pi$
$504$	−0.883374	+	0.191846i	−0.0393486	+	0.00854548i
$505$	−1.10595	−	3.28234i	−0.0492141	−	0.146062i
$506$	−3.86658	−	1.30280i	−0.171891	−	0.0579167i
$507$	13.6312	+	16.0936i	0.605382	+	0.714743i
$508$	−6.45153	−	16.1921i	−0.286240	−	0.718409i
$509$	17.1408	−	20.1797i	0.759750	−	0.894447i	−0.237281	−	0.971441i	$-0.576256\pi$
$509$	17.1408	−	20.1797i	0.759750	−	0.894447i	0.997032	+	0.0769936i	$0.0245321\pi$
$510$	−5.81513	+	10.9314i	−0.257498	+	0.484049i
$511$	−0.833583	+	3.78700i	−0.0368755	+	0.167527i
$512$	0.856857	−	0.515554i	0.0378681	−	0.0227845i
$513$	23.2357	−	13.8474i	1.02588	−	0.611380i
$514$	4.53493	−	2.40427i	0.200027	−	0.106048i
$515$	−2.02419	−	0.220143i	−0.0891963	−	0.00970068i
$516$	11.3700	+	1.88041i	0.500535	+	0.0827806i
$517$	2.69195	+	9.69553i	0.118392	+	0.426409i
$518$	−0.714617	+	1.54462i	−0.0313985	+	0.0678667i
$519$	0.555849	−	9.99243i	0.0243991	−	0.438619i
$520$	1.06462	−	0.115784i	0.0466865	−	0.00507747i
$521$	24.3696	−	16.5230i	1.06765	−	0.723884i	0.104956	−	0.994477i	$-0.466530\pi$
$521$	24.3696	−	16.5230i	1.06765	−	0.723884i	0.962694	+	0.270593i	$0.0872196\pi$
$522$	0.0141012	−	5.02035i	0.000617192	−	0.219735i
$523$	−5.88256	−	6.92549i	−0.257227	−	0.302831i	0.618357	−	0.785897i	$-0.287799\pi$
$523$	−5.88256	−	6.92549i	−0.257227	−	0.302831i	−0.875583	+	0.483067i	$0.839523\pi$
$524$	8.09354	−	15.2660i	0.353568	−	0.666900i
$525$	−1.36855	+	1.29272i	−0.0597286	+	0.0564190i
$526$	27.0671	+	4.43742i	1.18018	+	0.193481i
$527$	1.15541	−	21.3102i	0.0503303	−	0.928288i
$528$	4.39099	+	0.00616671i	0.191093	+	0.000268372i
$529$	14.8173	−	14.0357i	0.644232	−	0.610249i
$530$	−4.33678			−0.188378
$531$	−8.16964	−	21.5466i	−0.354532	−	0.935044i
$532$	−1.56856			−0.0680056
$533$	0.126982	−	0.120284i	0.00550021	−	0.00521008i
$534$	−7.66214	−	0.0107607i	−0.331573	−	0.000465662i
$535$	−0.551591	+	10.1735i	−0.0238474	+	0.439839i
$536$	4.37954	+	0.717989i	0.189167	+	0.0310124i
$537$	7.85167	−	7.41660i	0.338825	−	0.320050i
$538$	−8.26912	+	15.5972i	−0.356507	+	0.672444i
$539$	−11.3395	−	13.3499i	−0.488427	−	0.575021i
$540$	1.34354	−	5.98356i	0.0578166	−	0.257491i
$541$	33.1351	−	22.4662i	1.42459	−	0.965896i	0.426476	−	0.904499i	$-0.359755\pi$
$541$	33.1351	−	22.4662i	1.42459	−	0.965896i	0.998113	−	0.0613968i	$-0.0195555\pi$
$542$	1.42623	−	0.155112i	0.0612620	−	0.00666264i
$543$	2.29679	−	41.2890i	0.0985645	−	1.77188i
$544$	2.54332	−	5.49730i	0.109044	−	0.235695i
$545$	−0.472610	−	1.70219i	−0.0202444	−	0.0729137i
$546$	0.467219	+	0.0772705i	0.0199951	+	0.00330687i
$547$	−33.0009	−	3.58906i	−1.41102	−	0.153457i	−0.629334	−	0.777135i	$-0.716672\pi$
$547$	−33.0009	−	3.58906i	−1.41102	−	0.153457i	−0.781682	+	0.623678i	$0.785638\pi$
$548$	−11.5753	+	6.13685i	−0.494474	+	0.262153i
$549$	12.4172	+	13.1826i	0.529952	+	0.562620i
$550$	7.83556	−	4.71450i	0.334109	−	0.201027i
$551$	1.87268	−	8.50765i	0.0797787	−	0.362438i
$552$	1.30921	−	2.46107i	0.0557237	−	0.104750i
$553$	−1.43376	+	1.68795i	−0.0609695	+	0.0717788i
$554$	2.36688	+	5.94042i	0.100559	+	0.252384i
$555$	−7.46228	−	8.81032i	−0.316756	−	0.373977i
$556$	−2.42474	−	0.816990i	−0.102832	−	0.0346481i
$557$	12.9359	+	38.3923i	0.548111	+	1.62674i	0.760347	+	0.649517i	$0.225029\pi$
$557$	12.9359	+	38.3923i	0.548111	+	1.62674i	−0.212236	+	0.977219i	$0.568074\pi$
$558$	2.24326	+	10.3293i	0.0949647	+	0.437276i
$559$	−5.17315	−	3.11258i	−0.218801	−	0.131648i
$560$	−0.244562	+	0.258181i	−0.0103346	+	0.0109101i
$561$	22.0348	−	14.8949i	0.930311	−	0.628861i
$562$	−7.39703	+	12.2940i	−0.312025	+	0.518589i
$563$	−31.3698	+	23.8467i	−1.32208	+	1.00502i	−0.323818	+	0.946120i	$0.604966\pi$
$563$	−31.3698	+	23.8467i	−1.32208	+	1.00502i	−0.998264	+	0.0589006i	$0.981240\pi$
$564$	−6.83547	+	0.733690i	−0.287825	+	0.0308939i
$565$	1.14483	−	3.39772i	0.0481632	−	0.142943i
$566$	−13.2004	+	17.3648i	−0.554852	+	0.729896i
$567$	1.28372	−	2.38882i	0.0539110	−	0.100321i
$568$	−8.48716	−	7.20906i	−0.356113	−	0.302485i
$569$	1.01070	−	3.64023i	0.0423709	−	0.152606i	−0.939339	−	0.342991i	$-0.888560\pi$
$569$	1.01070	−	3.64023i	0.0423709	−	0.152606i	0.981709	+	0.190385i	$0.0609736\pi$
$570$	4.48166	−	9.65136i	0.187716	−	0.404251i
$571$	22.7019	+	37.7309i	0.950045	+	1.57899i	0.808045	+	0.589121i	$0.200526\pi$
$571$	22.7019	+	37.7309i	0.950045	+	1.57899i	0.142000	+	0.989867i	$0.454647\pi$
$572$	−2.13695	−	0.851440i	−0.0893505	−	0.0356005i
$573$	−5.12154	−	18.5471i	−0.213955	−	0.774817i
$574$	−0.00627992	+	0.0577429i	−0.000262119	+	0.00241014i
$575$	−0.314300	−	5.79692i	−0.0131072	−	0.241748i
$576$	−0.493659	+	2.95910i	−0.0205691	+	0.123296i
$577$	13.7599	+	6.36603i	0.572834	+	0.265021i	0.684849	−	0.728685i	$-0.259868\pi$
$577$	13.7599	+	6.36603i	0.572834	+	0.265021i	−0.112015	+	0.993707i	$0.535730\pi$
$578$	−3.18529	−	19.4294i	−0.132491	−	0.808157i
$579$	16.4007	+	1.80700i	0.681592	+	0.0750963i
$580$	−1.10836	−	1.63471i	−0.0460221	−	0.0678776i
$581$	3.77026	−	1.74431i	0.156417	−	0.0723661i
$582$	9.27169	−	4.89887i	0.384324	−	0.203065i
$583$	8.23046	+	4.36351i	0.340871	+	0.180718i
$584$	10.6514	+	7.22182i	0.440757	+	0.298841i
$585$	−1.81038	+	2.65403i	−0.0748499	+	0.109731i
$586$	11.4323	+	0.619842i	0.472265	+	0.0256055i
$587$	−18.3192	+	4.03237i	−0.756116	+	0.166434i	−0.576268	−	0.817261i	$-0.695492\pi$
$587$	−18.3192	+	4.03237i	−0.756116	+	0.166434i	−0.179848	+	0.983694i	$0.557561\pi$
$588$	10.2627	−	6.15527i	0.423228	−	0.253839i
$589$			18.3412i			0.755736i
$590$	−7.43167	−	5.19142i	−0.305957	−	0.213727i
$591$	4.55335	−	20.5486i	0.187300	−	0.845255i
$592$	3.88424	+	4.10055i	0.159641	+	0.168531i
$593$	−6.31653	−	28.6963i	−0.259389	−	1.17842i	−0.908554	−	0.417768i	$-0.862812\pi$
$593$	−6.31653	−	28.6963i	−0.259389	−	1.17842i	0.649165	−	0.760648i	$-0.275119\pi$
$594$	−8.57023	+	10.0039i	−0.351641	+	0.410466i
$595$	−0.348487	+	2.12568i	−0.0142866	+	0.0871442i
$596$	−10.6091	+	15.6473i	−0.434566	+	0.640937i
$597$	25.5682	−	30.0156i	1.04644	−	1.22846i
$598$	−1.11304	+	0.945425i	−0.0455156	+	0.0386613i
$599$	−5.66178	−	12.2377i	−0.231334	−	0.500021i	0.756794	−	0.653654i	$-0.226765\pi$
$599$	−5.66178	−	12.2377i	−0.231334	−	0.500021i	−0.988128	+	0.153633i	$0.950903\pi$
$600$	2.30436	+	5.80721i	0.0940750	+	0.237078i
$601$	−2.55016	−	23.4483i	−0.104023	−	0.956477i	−0.923561	−	0.383452i	$-0.874735\pi$
$601$	−2.55016	−	23.4483i	−0.104023	−	0.956477i	0.819538	−	0.573025i	$-0.194230\pi$
$602$	1.97847	−	0.324354i	0.0806366	−	0.0132197i
$603$	−10.1716	+	8.59078i	−0.414220	+	0.349843i
$604$	5.75487	−	1.59783i	0.234162	−	0.0650149i
$605$	−5.38924	+	0.292196i	−0.219104	+	0.0118795i
$606$	−4.81481	−	1.62983i	−0.195588	−	0.0662074i
$607$	−17.8001	−	33.5745i	−0.722483	−	1.36275i	−0.923668	−	0.383194i	$-0.874824\pi$
$607$	−17.8001	−	33.5745i	−0.722483	−	1.36275i	0.201185	−	0.979553i	$-0.435521\pi$
$608$	−1.92678	+	4.83586i	−0.0781414	+	0.196120i
$609$	−0.277711	−	0.828058i	−0.0112534	−	0.0335546i
$610$	6.95791	+	1.53155i	0.281717	+	0.0620107i
$611$	3.47022	+	0.963502i	0.140390	+	0.0389791i
$612$	7.58361	+	16.5133i	0.306549	+	0.667509i
$613$	−11.4057	+	4.54446i	−0.460674	+	0.183549i	−0.588917	−	0.808194i	$-0.700445\pi$
$613$	−11.4057	+	4.54446i	−0.460674	+	0.183549i	0.128243	+	0.991743i	$0.459066\pi$
$614$	−2.15270	−	1.63644i	−0.0868758	−	0.0660413i
$615$	−0.337350	−	0.203623i	−0.0136033	−	0.00821086i
$616$	0.723907	−	0.243913i	0.0291670	−	0.00982752i
$617$	18.3603	+	24.1526i	0.739159	+	0.972346i	0.999976	+	0.00695820i	$0.00221488\pi$
$617$	18.3603	+	24.1526i	0.739159	+	0.972346i	−0.260817	+	0.965388i	$0.583992\pi$
$618$	−2.05801	+	2.16651i	−0.0827853	+	0.0871499i
$619$	5.92227	+	5.60987i	0.238036	+	0.225480i	0.797413	−	0.603433i	$-0.206201\pi$
$619$	5.92227	+	5.60987i	0.238036	+	0.225480i	−0.559377	+	0.828913i	$0.688960\pi$
$620$	3.01892	+	2.85967i	0.121243	+	0.114847i
$621$	3.06267	+	7.78192i	0.122901	+	0.312278i
$622$	−19.2872	−	25.3719i	−0.773346	−	1.01732i
$623$	−1.26320	+	0.425620i	−0.0506088	+	0.0170521i
$624$	0.812147	−	1.34552i	0.0325119	−	0.0538638i
$625$	4.81380	+	3.65935i	0.192552	+	0.146374i
$626$	−4.31269	+	1.71833i	−0.172370	+	0.0686783i
$627$	−18.2163	+	13.8073i	−0.727487	+	0.551411i
$628$	−10.5055	−	2.91685i	−0.419216	−	0.116395i
$629$	33.4118	+	7.35450i	1.33222	+	0.293243i
$630$	−0.112369	−	1.06093i	−0.00447690	−	0.0422686i
$631$	3.47431	−	8.71986i	0.138310	−	0.347132i	−0.843463	−	0.537187i	$-0.819487\pi$
$631$	3.47431	−	8.71986i	0.138310	−	0.347132i	0.981774	+	0.190054i	$0.0608664\pi$
$632$	3.44275	+	6.49371i	0.136945	+	0.258306i
$633$	2.10958	−	6.23208i	0.0838483	−	0.247703i
$634$	23.8365	−	1.29238i	0.946668	−	0.0513269i
$635$	19.8213	−	5.50335i	0.786584	−	0.218394i
$636$	−3.85879	+	5.06138i	−0.153011	+	0.200697i
$637$	−6.18667	+	1.01425i	−0.245125	+	0.0401862i
$638$	0.458690	+	4.21758i	0.0181597	+	0.166976i
$639$	32.9819	−	5.31202i	1.30474	−	0.210140i
$640$	0.495557	+	1.07113i	0.0195886	+	0.0423400i
$641$	4.20985	−	3.57588i	0.166279	−	0.141239i	−0.560383	−	0.828233i	$-0.689346\pi$
$641$	4.20985	−	3.57588i	0.166279	−	0.141239i	0.726663	+	0.686994i	$0.241070\pi$
$642$	11.3825	+	9.69595i	0.449232	+	0.382668i
$643$	−20.9764	+	30.9379i	−0.827230	+	1.22007i	0.145782	+	0.989317i	$0.453430\pi$
$643$	−20.9764	+	30.9379i	−0.827230	+	1.22007i	−0.973012	+	0.230756i	$0.925880\pi$
$644$	0.0784579	−	0.478572i	0.00309167	−	0.0188584i
$645$	−3.65711	+	13.1003i	−0.143999	+	0.515825i
$646$	6.77820	+	30.7937i	0.266685	+	1.21156i
$647$	−15.2892	−	16.1407i	−0.601082	−	0.634555i	0.352455	−	0.935829i	$-0.385347\pi$
$647$	−15.2892	−	16.1407i	−0.601082	−	0.634555i	−0.953538	+	0.301274i	$0.902588\pi$
$648$	−5.78785	−	6.89208i	−0.227368	−	0.270747i
$649$	8.88060	+	17.3299i	0.348594	+	0.680257i
$650$		−	3.27301i		−	0.128378i
$651$	0.945821	+	1.57698i	0.0370696	+	0.0618066i
$652$	−6.19945	+	1.36460i	−0.242789	+	0.0534420i
$653$	−45.7249	−	2.47913i	−1.78935	−	0.0970160i	−0.870635	−	0.491929i	$-0.836292\pi$
$653$	−45.7249	−	2.47913i	−1.78935	−	0.0970160i	−0.918719	+	0.394913i	$0.870775\pi$
$654$	−2.40711	−	0.963000i	−0.0941255	−	0.0376563i
$655$	16.8787	+	11.4441i	0.659506	+	0.447156i
$656$	0.170307	+	0.0902912i	0.00664938	+	0.00352528i
$657$	−37.2281	+	10.2238i	−1.45241	+	0.398868i
$658$	−1.08545	+	0.502181i	−0.0423151	+	0.0195771i
$659$	20.6093	+	30.3964i	0.802824	+	1.18408i	0.979823	+	0.199866i	$0.0640506\pi$
$659$	20.6093	+	30.3964i	0.802824	+	1.18408i	−0.176999	+	0.984211i	$0.556639\pi$
$660$	−0.567539	+	5.15112i	−0.0220914	+	0.200507i
$661$	0.254671	+	1.55342i	0.00990554	+	0.0604211i	0.991317	−	0.131496i	$-0.0419779\pi$
$661$	0.254671	+	1.55342i	0.00990554	+	0.0604211i	−0.981411	+	0.191917i	$0.938530\pi$
$662$	17.6799	+	8.17960i	0.687150	+	0.317909i
$663$	−0.502027	−	9.50628i	−0.0194971	−	0.369193i
$664$	−0.746392	−	13.7664i	−0.0289656	−	0.534240i
$665$	0.200152	−	1.84037i	0.00776158	−	0.0713666i
$666$	−16.9222	+	0.869830i	−0.655721	+	0.0337052i
$667$	2.50204	+	0.996905i	0.0968795	+	0.0386003i
$668$	−13.2863	−	22.0820i	−0.514063	−	0.854380i
$669$	−25.4024	−	11.7957i	−0.982112	−	0.456049i
$670$	−1.40125	+	5.04685i	−0.0541351	+	0.194977i
$671$	−11.6639	−	9.90741i	−0.450280	−	0.382471i
$672$	0.0837115	+	0.515148i	0.00322924	+	0.0198723i
$673$	−25.1931	+	33.1409i	−0.971121	+	1.27749i	−0.0104081	+	0.999946i	$0.503313\pi$
$673$	−25.1931	+	33.1409i	−0.971121	+	1.27749i	−0.960713	+	0.277543i	$0.910480\pi$
$674$	2.82003	−	8.36955i	0.108623	−	0.322383i
$675$	−17.7366	−	6.05948i	−0.682681	−	0.233229i
$676$	9.69376	−	7.36900i	0.372837	−	0.283423i
$677$	−14.0405	+	23.3355i	−0.539621	+	0.896857i	0.460338	+	0.887744i	$0.347728\pi$
$677$	−14.0405	+	23.3355i	−0.539621	+	0.896857i	−0.999958	+	0.00911299i	$0.997099\pi$
$678$	−2.94678	−	4.35934i	−0.113170	−	0.167419i
$679$	1.25456	−	1.32443i	0.0481457	−	0.0508268i
$680$	6.12539	+	3.68552i	0.234898	+	0.141333i
$681$	12.6892	−	5.84905i	0.486253	−	0.224136i
$682$	−2.85208	−	8.46468i	−0.109212	−	0.324129i
$683$	−28.1718	−	9.49219i	−1.07796	−	0.363208i	−0.276354	−	0.961056i	$-0.589126\pi$
$683$	−28.1718	−	9.49219i	−1.07796	−	0.363208i	−0.801610	+	0.597847i	$0.796023\pi$
$684$	−7.27623	−	13.8181i	−0.278214	−	0.528347i
$685$	−5.72326	−	14.3643i	−0.218675	−	0.548832i
$686$	2.71329	−	3.19434i	0.103594	−	0.121960i
$687$	34.9573	+	18.5961i	1.33370	+	0.709486i
$688$	1.43033	−	6.49807i	0.0545309	−	0.247737i
$689$	2.85697	−	1.71898i	0.108842	−	0.0654880i
$690$	2.72049	+	1.85012i	0.103567	+	0.0704330i
$691$	−1.57979	+	0.837551i	−0.0600980	+	0.0318619i	−0.498186	−	0.867070i	$-0.666000\pi$
$691$	−1.57979	+	0.837551i	−0.0600980	+	0.0318619i	0.438088	+	0.898932i	$0.355656\pi$
$692$	−5.74418	−	0.624717i	−0.218361	−	0.0237482i
$693$	−0.854216	+	2.12653i	−0.0324490	+	0.0807802i
$694$	9.38871	+	33.8151i	0.356391	+	1.28360i
$695$	1.26797	−	2.74067i	0.0480969	−	0.103960i
$696$	−2.89404	−	0.160987i	−0.109698	−	0.00610219i
$697$	1.16074	−	0.126238i	0.0439661	−	0.00478160i
$698$	−18.2771	+	12.3922i	−0.691800	+	0.469052i
$699$	−25.4971	+	5.57480i	−0.964388	+	0.210858i
$700$	0.703645	+	0.828395i	0.0265953	+	0.0313104i
$701$	11.1864	−	21.0998i	0.422506	−	0.796930i	−0.577302	−	0.816530i	$-0.695895\pi$
$701$	11.1864	−	21.0998i	0.422506	−	0.796930i	0.999808	+	0.0196004i	$0.00623941\pi$
$702$	1.48663	+	4.47437i	0.0561092	+	0.168874i
$703$	−29.0147	−	4.75672i	−1.09431	−	0.179403i
$704$	0.137250	−	2.53142i	0.00517280	−	0.0954066i
$705$	0.0113947	−	8.11360i	0.000429151	−	0.305576i
$706$	−14.6004	+	13.8303i	−0.549495	+	0.520509i
$707$	−0.884313			−0.0332580
$708$	−12.6714	+	4.05414i	−0.476220	+	0.152364i
$709$	2.20311			0.0827395			0.0413697	−	0.999144i	$-0.486828\pi$
$709$	2.20311			0.0827395			0.0413697	+	0.999144i	$0.486828\pi$
$710$	9.54130	−	9.03800i	0.358079	−	0.339190i
$711$	−21.5208	−	4.80049i	−0.807091	−	0.180033i
$712$	−0.239497	+	4.41726i	−0.00897552	+	0.165544i
$713$	−5.59596	−	0.917412i	−0.209571	−	0.0343573i
$714$	2.17076	+	2.29810i	0.0812387	+	0.0860043i
$715$	1.27167	−	2.39862i	0.0475577	−	0.0897033i
$716$	−4.03696	−	4.75267i	−0.150868	−	0.177616i
$717$	1.70088	+	7.77919i	0.0635205	+	0.290519i
$718$	−8.63533	+	5.85490i	−0.322268	+	0.218503i
$719$	−32.3073	+	3.51363i	−1.20486	+	0.131036i	−0.688435	−	0.725298i	$-0.741702\pi$
$719$	−32.3073	+	3.51363i	−1.20486	+	0.131036i	−0.516423	+	0.856334i	$0.672737\pi$
$720$	−3.40889	−	0.956796i	−0.127042	−	0.0356577i
$721$	−0.218278	+	0.471801i	−0.00812911	+	0.0175708i
$722$	−2.16647	−	7.80291i	−0.0806276	−	0.290394i
$723$	−6.30006	+	38.0935i	−0.234302	+	1.41671i
$724$	−23.7351	−	2.58135i	−0.882108	−	0.0959351i
$725$	−5.33318	+	2.82747i	−0.198069	+	0.105010i
$726$	−4.45423	+	6.54968i	−0.165312	+	0.243081i
$727$	−40.4000	+	24.3079i	−1.49835	+	0.901529i	−0.498962	+	0.866624i	$0.666285\pi$
$727$	−40.4000	+	24.3079i	−1.49835	+	0.901529i	−0.999391	+	0.0349052i	$0.988887\pi$
$728$	0.0587757	−	0.267021i	0.00217837	−	0.00989644i
$729$	26.9990	+	0.227510i	0.999964	+	0.00842630i
$730$	−9.83243	+	11.5756i	−0.363915	+	0.428434i
$731$	−14.9173	−	37.4395i	−0.551735	−	1.38475i
$732$	7.97847	−	6.75771i	0.294893	−	0.249772i
$733$	−6.83909	−	2.30436i	−0.252608	−	0.0851134i	0.190149	−	0.981755i	$-0.439103\pi$
$733$	−6.83909	−	2.30436i	−0.252608	−	0.0851134i	−0.442757	+	0.896642i	$0.645999\pi$
$734$	9.57145	+	28.4070i	0.353289	+	1.04852i
$735$	5.91236	+	12.8266i	0.218081	+	0.473116i
$736$	−1.37906	−	0.829754i	−0.0508329	−	0.0305852i
$737$	7.73729	−	8.16816i	0.285007	−	0.300878i
$738$	−0.537813	+	0.212536i	−0.0197972	+	0.00782355i
$739$	3.40747	−	5.66326i	0.125346	−	0.208326i	−0.787829	−	0.615893i	$-0.788795\pi$
$739$	3.40747	−	5.66326i	0.125346	−	0.208326i	0.913175	+	0.407567i	$0.133623\pi$
$740$	−5.30677	+	4.03410i	−0.195081	+	0.148297i
$741$	0.873122	+	8.13449i	0.0320749	+	0.298828i
$742$	−0.353542	+	1.04928i	−0.0129789	+	0.0385201i
$743$	8.67566	−	11.4126i	0.318279	−	0.418689i	−0.608935	−	0.793220i	$-0.708403\pi$
$743$	8.67566	−	11.4126i	0.318279	−	0.418689i	0.927214	+	0.374531i	$0.122196\pi$
$744$	6.02365	−	0.978842i	0.220838	−	0.0358861i
$745$	−17.0050	−	14.4442i	−0.623016	−	0.529195i
$746$	−9.25533	+	33.3347i	−0.338862	+	1.22047i
$747$	32.8559	+	25.1223i	1.20213	+	0.919177i
$748$	−7.91668	−	13.1576i	−0.289462	−	0.481090i
$749$	2.41649	+	0.962817i	0.0882966	+	0.0351806i
$750$	−16.9598	+	4.68321i	−0.619283	+	0.171007i
$751$	0.882213	−	8.11181i	0.0321924	−	0.296004i	−0.966963	−	0.254916i	$-0.917952\pi$
$751$	0.882213	−	8.11181i	0.0321924	−	0.296004i	0.999156	−	0.0410879i	$-0.0130824\pi$
$752$	0.214884	+	3.96330i	0.00783602	+	0.144527i
$753$	−6.42497	+	0.339302i	−0.234139	+	0.0123649i
$754$	1.37811	+	0.637584i	0.0501880	+	0.0232194i
$755$	1.14038	+	6.95602i	0.0415027	+	0.253156i
$756$	−1.33818	−	0.812856i	−0.0486692	−	0.0295633i
$757$	1.45826	+	2.15077i	0.0530012	+	0.0781710i	0.853266	−	0.521476i	$-0.174618\pi$
$757$	1.45826	+	2.15077i	0.0530012	+	0.0781710i	−0.800265	+	0.599646i	$0.795308\pi$
$758$	16.0562	−	7.42839i	0.583187	−	0.269811i
$759$	−3.30150	−	6.24847i	−0.119837	−	0.226805i
$760$	−5.42801	−	2.87775i	−0.196895	−	0.104387i
$761$	34.6471	+	23.4913i	1.25596	+	0.851560i	0.993550	−	0.113398i	$-0.0361734\pi$
$761$	34.6471	+	23.4913i	1.25596	+	0.851560i	0.262407	+	0.964957i	$0.415484\pi$
$762$	11.2138	−	28.0298i	0.406231	−	1.01541i
$763$	−0.450368	−	0.0244183i	−0.0163044	−	0.000884000i
$764$	−10.8492	+	2.38810i	−0.392511	+	0.0863983i
$765$	−20.3425	+	6.79063i	−0.735486	+	0.245516i
$766$		−	15.1227i		−	0.546406i
$767$	6.95354	+	0.474273i	0.251078	+	0.0171250i
$768$	1.69103	+	0.374715i	0.0610199	+	0.0135214i
$769$	−35.7359	−	37.7259i	−1.28867	−	1.36043i	−0.898058	−	0.439876i	$-0.855022\pi$
$769$	−35.7359	−	37.7259i	−1.28867	−	1.36043i	−0.390611	−	0.920556i	$-0.627736\pi$
$770$	0.193808	+	0.880477i	0.00698434	+	0.0317302i
$771$	8.56295	+	2.39045i	0.308387	+	0.0860899i
$772$	1.54118	−	9.40078i	0.0554683	−	0.338341i
$773$	−22.5656	+	33.2817i	−0.811626	+	1.19706i	0.165878	+	0.986146i	$0.446954\pi$
$773$	−22.5656	+	33.2817i	−0.811626	+	1.19706i	−0.977505	+	0.210913i	$0.932356\pi$
$774$	12.0351	+	15.9246i	0.432594	+	0.572397i
$775$	9.68646	−	8.22775i	0.347948	−	0.295550i
$776$	−2.54213	−	5.49472i	−0.0912571	−	0.197249i
$777$	−2.73998	+	1.08725i	−0.0982961	+	0.0390049i
$778$	3.41130	+	31.3664i	0.122301	+	1.12454i
$779$	−0.990218	+	0.162338i	−0.0354783	+	0.00581636i
$780$	1.47505	+	1.12458i	0.0528153	+	0.0402663i
$781$	−27.2014	+	7.55244i	−0.973343	+	0.270247i
$782$	−9.73430	+	0.527779i	−0.348098	+	0.0188733i
$783$	6.00646	−	6.28767i	0.214653	−	0.224703i
$784$	−3.23633	−	6.10437i	−0.115583	−	0.218013i
$785$	4.76284	−	11.9538i	0.169993	−	0.426651i
$786$	28.3745	−	9.51615i	1.01209	−	0.339430i
$787$	−22.8100	−	5.02085i	−0.813088	−	0.178974i	−0.211085	−	0.977468i	$-0.567700\pi$
$787$	−22.8100	−	5.02085i	−0.813088	−	0.178974i	−0.602003	+	0.798494i	$0.705631\pi$
$788$	−11.7086	−	3.25087i	−0.417101	−	0.115807i
$789$	28.6971	+	37.8606i	1.02164	+	1.34787i
$790$	−8.05831	+	3.21073i	−0.286702	+	0.114232i
$791$	−0.728743	−	0.553976i	−0.0259111	−	0.0196971i
$792$	5.50679	+	5.24574i	0.195675	+	0.186399i
$793$	−5.19077	+	1.74897i	−0.184330	+	0.0621079i
$794$	8.56427	+	11.2661i	0.303935	+	0.399819i
$795$	−5.44608	−	5.17333i	−0.193152	−	0.183479i
$796$	−16.5269	−	15.6551i	−0.585782	−	0.554882i
$797$	−34.6301	−	32.8034i	−1.22666	−	1.16196i	−0.981292	−	0.192525i	$-0.938332\pi$
$797$	−34.6301	−	32.8034i	−1.22666	−	1.16196i	−0.245369	−	0.969430i	$-0.578909\pi$
$798$	−1.96977	−	1.87112i	−0.0697292	−	0.0662371i
$799$	14.5493	+	19.1393i	0.514717	+	0.677099i
$800$	3.41829	−	1.15176i	0.120855	−	0.0407207i
$801$	−9.60918	−	9.15365i	−0.339524	−	0.323428i
$802$	−0.370839	−	0.281904i	−0.0130948	−	0.00995438i
$803$	30.3072	−	12.0755i	1.06952	−	0.426135i
$804$	4.64329	+	6.12598i	0.163756	+	0.216047i
$805$	0.551492	+	0.153121i	0.0194375	+	0.00539681i
$806$	−3.12228	−	0.687267i	−0.109978	−	0.0242079i
$807$	−28.9901	+	9.72259i	−1.02050	+	0.342251i
$808$	−1.08627	+	2.72634i	−0.0382150	+	0.0959123i
$809$	18.1294	+	34.1957i	0.637396	+	1.20226i	0.966184	+	0.257853i	$0.0830151\pi$
$809$	18.1294	+	34.1957i	0.637396	+	1.20226i	−0.328788	+	0.944404i	$0.606640\pi$
$810$	8.82495	−	5.91138i	0.310077	−	0.207705i
$811$	3.99814	−	0.216773i	0.140394	−	0.00761192i	0.0161918	−	0.999869i	$-0.494846\pi$
$811$	3.99814	−	0.216773i	0.140394	−	0.00761192i	0.124202	+	0.992257i	$0.460363\pi$
$812$	−0.485870	+	0.134901i	−0.0170507	+	0.00473410i
$813$	1.97608	+	1.50656i	0.0693041	+	0.0528374i
$814$	14.1303	−	2.31654i	0.495266	−	0.0811948i
$815$	−0.810006	−	7.44788i	−0.0283733	−	0.260888i
$816$	9.75157	−	3.86952i	0.341373	−	0.135460i
$817$	14.5433	+	31.4348i	0.508805	+	1.09976i
$818$	0.791165	−	0.672021i	0.0276624	−	0.0234967i
$819$	0.494551	+	0.654378i	0.0172810	+	0.0228658i
$820$	−0.127669	+	0.188298i	−0.00445841	+	0.00657567i
$821$	0.934297	−	5.69896i	0.0326072	−	0.198895i	−0.965499	−	0.260406i	$-0.916144\pi$
$821$	0.934297	−	5.69896i	0.0326072	−	0.198895i	0.998106	+	0.0615109i	$0.0195919\pi$
$822$	−21.8568	−	6.10158i	−0.762343	−	0.212817i
$823$	−3.09652	−	14.0676i	−0.107938	−	0.490366i	−0.999312	−	0.0370973i	$-0.988189\pi$
$823$	−3.09652	−	14.0676i	−0.107938	−	0.490366i	0.891374	−	0.453269i	$-0.149742\pi$
$824$	1.18643	+	1.25250i	0.0413314	+	0.0436330i
$825$	15.4637	+	3.42659i	0.538377	+	0.119299i
$826$	−1.86190	+	1.37486i	−0.0647836	+	0.0478376i
$827$			41.8796i			1.45630i	0.685420	+	0.728148i	$0.259619\pi$
$827$			41.8796i			1.45630i	−0.685420	+	0.728148i	$0.740381\pi$
$828$	4.57989	−	1.52883i	0.159162	−	0.0531307i
$829$	16.7704	−	3.69144i	0.582460	−	0.128209i	0.0860401	−	0.996292i	$-0.472579\pi$
$829$	16.7704	−	3.69144i	0.582460	−	0.128209i	0.496420	+	0.868083i	$0.334648\pi$
$830$	16.2472	+	0.880898i	0.563949	+	0.0305764i
$831$	−4.11400	+	10.2833i	−0.142713	+	0.356725i
$832$	−0.751026	−	0.509209i	−0.0260372	−	0.0176536i
$833$	−36.9749	−	19.6029i	−1.28110	−	0.679199i
$834$	−2.07037	−	3.91843i	−0.0716912	−	0.135684i
$835$	27.6040	−	12.7710i	0.955276	−	0.441958i
$836$	7.40592	+	10.9229i	0.256139	+	0.377777i
$837$	−9.50476	+	15.6474i	−0.328533	+	0.540854i
$838$	4.03921	+	24.6381i	0.139532	+	0.851110i
$839$	15.6959	+	7.26168i	0.541881	+	0.250701i	0.671683	−	0.740839i	$-0.265572\pi$
$839$	15.6959	+	7.26168i	0.541881	+	0.250701i	−0.129801	+	0.991540i	$0.541434\pi$
$840$	−0.615100	+	0.0324834i	−0.0212230	+	0.00112078i
$841$	1.41841	+	26.1611i	0.0489109	+	0.902108i
$842$	2.39554	−	22.0266i	0.0825556	−	0.759086i
$843$	−23.9545	+	6.61471i	−0.825037	+	0.227823i
$844$	−3.52885	−	1.40602i	−0.121468	−	0.0483973i
$845$	7.40902	+	12.3139i	0.254878	+	0.423611i
$846$	−9.45910	−	7.23264i	−0.325211	−	0.248663i
$847$	−0.368644	+	1.32774i	−0.0126668	+	0.0456215i
$848$	2.80063	+	2.37888i	0.0961742	+	0.0816911i
$849$	−37.2912	+	6.05981i	−1.27983	+	0.207972i
$850$	13.2223	−	17.3936i	0.453520	−	0.596596i
$851$	2.90258	−	8.61456i	0.0994992	−	0.295303i
$852$	−2.05841	−	19.1773i	−0.0705201	−	0.657005i
$853$	22.7045	−	17.2595i	0.777388	−	0.590955i	−0.139443	−	0.990230i	$-0.544531\pi$
$853$	22.7045	−	17.2595i	0.777388	−	0.590955i	0.916831	+	0.399275i	$0.130738\pi$
$854$	0.937776	−	1.55860i	0.0320900	−	0.0533341i
$855$	17.1411	−	6.77390i	0.586212	−	0.231663i
$856$	5.93674	−	6.26734i	0.202913	−	0.214213i
$857$	12.2531	+	7.37245i	0.418558	+	0.251838i	0.709219	−	0.704988i	$-0.249048\pi$
$857$	12.2531	+	7.37245i	0.418558	+	0.251838i	−0.290661	+	0.956826i	$0.593875\pi$
$858$	−1.66788	−	3.61839i	−0.0569405	−	0.123530i
$859$	−7.25487	−	21.5317i	−0.247533	−	0.734652i	−0.997333	−	0.0729870i	$-0.976747\pi$
$859$	−7.25487	−	21.5317i	−0.247533	−	0.734652i	0.749800	−	0.661665i	$-0.230150\pi$
$860$	7.44160	+	2.50737i	0.253757	+	0.0855005i
$861$	−0.0767674	+	0.0650215i	−0.00261623	+	0.00221593i
$862$	−9.34576	−	23.4561i	−0.318318	−	0.798917i
$863$	2.40619	−	2.83278i	0.0819075	−	0.0964290i	−0.719682	−	0.694304i	$-0.755712\pi$
$863$	2.40619	−	2.83278i	0.0819075	−	0.0964290i	0.801589	+	0.597875i	$0.203988\pi$
$864$	−4.14983	+	3.12712i	−0.141180	+	0.106387i
$865$	1.46595	−	6.65987i	0.0498437	−	0.226442i
$866$	−23.3130	+	14.0269i	−0.792207	+	0.476655i
$867$	19.1772	−	28.1989i	0.651292	−	0.957685i
$868$	0.937998	−	0.497295i	0.0318377	−	0.0168793i
$869$	18.5238	+	2.01458i	0.628376	+	0.0683400i
$870$	0.558172	−	3.37500i	0.0189238	−	0.114423i
$871$	−1.07732	−	3.88017i	−0.0365037	−	0.131474i
$872$	−0.628505	+	1.35849i	−0.0212839	+	0.0460043i
$873$	17.4871	+	4.90822i	0.591849	+	0.166118i
$874$	8.32897	−	0.905831i	0.281732	−	0.0306402i
$875$	−2.53346	+	1.71773i	−0.0856466	+	0.0580698i
$876$	4.76100	+	21.7751i	0.160859	+	0.735711i
$877$	23.2521	+	27.3745i	0.785167	+	0.924370i	0.998616	−	0.0525843i	$-0.0167458\pi$
$877$	23.2521	+	27.3745i	0.785167	+	0.924370i	−0.213450	+	0.976954i	$0.568470\pi$
$878$	−7.12663	+	13.4422i	−0.240512	+	0.453654i
$879$	13.6172	+	14.4159i	0.459295	+	0.486238i
$880$	2.95258	+	0.484051i	0.0995315	+	0.0163174i
$881$	2.31825	−	42.7576i	0.0781039	−	1.44054i	−0.652525	−	0.757767i	$-0.726290\pi$
$881$	2.31825	−	42.7576i	0.0781039	−	1.44054i	0.730629	−	0.682774i	$-0.239227\pi$
$882$	20.2304	+	4.51267i	0.681194	+	0.151949i
$883$	15.9602	−	15.1183i	0.537103	−	0.508771i	−0.370369	−	0.928885i	$-0.620769\pi$
$883$	15.9602	−	15.1183i	0.537103	−	0.508771i	0.907471	+	0.420114i	$0.138010\pi$
$884$	−5.49610			−0.184854
$885$	−3.13978	−	15.3845i	−0.105542	−	0.517145i
$886$	36.7270			1.23387
$887$	8.76756	−	8.30507i	0.294386	−	0.278857i	−0.526224	−	0.850346i	$-0.676393\pi$
$887$	8.76756	−	8.30507i	0.294386	−	0.278857i	0.820610	+	0.571489i	$0.193634\pi$
$888$	−0.0137391	+	9.78291i	−0.000461055	+	0.328293i
$889$	0.284341	−	5.24436i	0.00953649	−	0.175890i
$890$	−5.15216	−	0.844654i	−0.172701	−	0.0283129i
$891$	−22.6960	+	2.33941i	−0.760346	+	0.0783733i
$892$	−7.57422	+	14.2865i	−0.253604	+	0.478347i
$893$	−13.3760	−	15.7475i	−0.447612	−	0.526970i
$894$	−31.9883	+	6.99408i	−1.06985	+	0.233917i
$895$	6.09139	−	4.13006i	0.203613	−	0.138053i
$896$	0.299556	−	0.0325786i	0.0100075	−	0.00108838i
$897$	−2.52553	−	0.140488i	−0.0843252	−	0.00469076i
$898$	4.29385	−	9.28100i	0.143288	−	0.309711i
$899$	1.57740	+	5.68129i	0.0526094	+	0.189482i
$900$	−4.03361	+	10.0415i	−0.134454	+	0.334716i
$901$	22.1270	+	2.40646i	0.737157	+	0.0801707i
$902$	0.431753	−	0.228901i	0.0143758	−	0.00762157i
$903$	2.87146	+	1.95279i	0.0955563	+	0.0649848i
$904$	−2.60308	+	1.56622i	−0.0865773	+	0.0520918i
$905$	6.05734	−	27.5188i	0.201353	−	0.914755i
$906$	9.13294	+	4.85842i	0.303422	+	0.161410i
$907$	24.6252	−	28.9910i	0.817667	−	0.962631i	−0.182120	−	0.983276i	$-0.558296\pi$
$907$	24.6252	−	28.9910i	0.817667	−	0.962631i	0.999787	+	0.0206448i	$0.00657191\pi$
$908$	−2.98590	−	7.49403i	−0.0990904	−	0.248698i
$909$	−4.10216	−	7.79029i	−0.136060	−	0.258388i
$910$	0.305793	+	0.103034i	0.0101369	+	0.00341553i
$911$	3.91535	+	11.6203i	0.129721	+	0.384999i	0.992756	−	0.120145i	$-0.0383359\pi$
$911$	3.91535	+	11.6203i	0.129721	+	0.384999i	−0.863035	+	0.505144i	$0.831439\pi$
$912$	−8.18831	+	3.77436i	−0.271142	+	0.124982i
$913$	−29.9480	−	18.0191i	−0.991136	−	0.596347i
$914$	4.97375	−	5.25073i	0.164517	−	0.173679i
$915$	6.91067	+	10.2234i	0.228460	+	0.337974i
$916$	11.7859	−	19.5883i	0.389417	−	0.647216i
$917$	4.14485	−	3.15083i	0.136875	−	0.104050i
$918$	−10.1752	+	29.7836i	−0.335831	+	0.983005i
$919$	−1.11895	+	3.32094i	−0.0369109	+	0.109548i	−0.964524	−	0.263994i	$-0.914960\pi$
$919$	−1.11895	+	3.32094i	−0.0369109	+	0.109548i	0.927613	+	0.373542i	$0.121857\pi$
$920$	1.14951	−	1.51216i	0.0378984	−	0.0498545i
$921$	−0.751230	−	4.62296i	−0.0247539	−	0.152332i
$922$	32.3800	+	27.5038i	1.06638	+	0.905790i
$923$	−2.70317	+	9.73593i	−0.0889758	+	0.320462i
$924$	1.20004	+	0.557243i	0.0394783	+	0.0183319i
$925$	10.5037	+	17.4572i	0.345359	+	0.573991i
$926$	9.25438	+	3.68728i	0.304118	+	0.121172i
$927$	−5.16884	+	0.265688i	−0.169767	+	0.00872633i
$928$	−0.180932	+	1.66365i	−0.00593940	+	0.0546119i
$929$	−2.39483	−	44.1700i	−0.0785717	−	1.44917i	−0.726341	−	0.687334i	$-0.758781\pi$
$929$	−2.39483	−	44.1700i	−0.0785717	−	1.44917i	0.647770	−	0.761836i	$-0.275702\pi$
$930$	0.379830	+	7.19239i	0.0124551	+	0.235848i
$931$	32.6423	+	15.1019i	1.06981	+	0.494945i
$932$	2.43781	+	14.8700i	0.0798532	+	0.487083i
$933$	6.04538	−	54.8693i	0.197917	−	1.79634i
$934$	−8.34960	−	12.3147i	−0.273207	−	0.402951i
$935$	16.4479	−	7.60961i	0.537904	−	0.248861i
$936$	2.62495	−	0.720878i	0.0857991	−	0.0235626i
$937$	−25.4001	−	13.4663i	−0.829784	−	0.439923i	−0.00134215	−	0.999999i	$-0.500427\pi$
$937$	−25.4001	−	13.4663i	−0.829784	−	0.439923i	−0.828441	+	0.560076i	$0.810772\pi$
$938$	1.10684	+	0.750458i	0.0361397	+	0.0245033i
$939$	−7.46560	−	2.98672i	−0.243631	−	0.0974681i
$940$	−4.67752	−	0.253608i	−0.152564	−	0.00827178i
$941$	−48.0853	+	10.5844i	−1.56754	+	0.345041i	−0.912021	−	0.410143i	$-0.865479\pi$
$941$	−48.0853	+	10.5844i	−1.56754	+	0.345041i	−0.655514	+	0.755183i	$0.727548\pi$
$942$	−9.71322	−	16.1949i	−0.316474	−	0.527660i
$943$		−	0.310239i		−	0.0101028i
$944$	1.95159	+	7.42908i	0.0635189	+	0.241796i
$945$	1.12447	−	1.46635i	0.0365791	−	0.0477004i
$946$	−11.6000	−	12.2460i	−0.377150	−	0.398152i
$947$	6.74241	+	30.6311i	0.219099	+	0.995376i	0.949844	+	0.312725i	$0.101242\pi$
$947$	6.74241	+	30.6311i	0.219099	+	0.995376i	−0.730745	+	0.682651i	$0.760827\pi$
$948$	−3.42296	+	12.2616i	−0.111173	+	0.398237i
$949$	1.88911	−	11.5231i	0.0613231	−	0.374054i
$950$	−10.5375	+	15.5416i	−0.341881	+	0.504236i
$951$	31.4752	+	26.8115i	1.02065	+	0.869422i
$952$	1.39106	−	1.18157i	0.0450844	−	0.0382950i
$953$	−14.6144	−	31.5885i	−0.473407	−	1.02325i	−0.986325	−	0.164814i	$-0.947298\pi$
$953$	−14.6144	−	31.5885i	−0.473407	−	1.02325i	0.512918	−	0.858438i	$-0.328565\pi$
$954$	−10.8835	+	1.75289i	−0.352367	+	0.0567518i
$955$	−1.41753	−	13.0340i	−0.0458703	−	0.421771i
$956$	4.53686	−	0.743780i	0.146732	−	0.0240556i
$957$	−4.45512	+	5.84355i	−0.144013	+	0.188895i
$958$	−15.2564	+	4.23591i	−0.492911	+	0.136856i
$959$	−3.94198	+	0.213728i	−0.127293	+	0.00690164i
$960$	−0.655430	+	1.93626i	−0.0211539	+	0.0624924i
$961$	8.70577	+	16.4208i	0.280831	+	0.529704i
$962$	1.89697	−	4.76103i	0.0611607	−	0.153502i
$963$	2.72777	+	25.7542i	0.0879010	+	0.829917i
$964$	21.7709	+	4.79213i	0.701192	+	0.154344i
$965$	10.8332	+	3.00782i	0.348732	+	0.0968251i
$966$	0.669413	−	0.507393i	0.0215380	−	0.0163251i
$967$	35.6412	−	14.2008i	1.14614	−	0.456666i	0.281754	−	0.959487i	$-0.409084\pi$
$967$	35.6412	−	14.2008i	1.14614	−	0.456666i	0.864390	+	0.502821i	$0.167705\pi$
$968$	3.64058	+	2.76749i	0.117013	+	0.0889506i
$969$	−28.2217	+	46.7560i	−0.906611	+	1.50202i
$970$	6.77129	−	2.28151i	0.217413	−	0.0732549i
$971$	−2.28504	−	3.00592i	−0.0733305	−	0.0964647i	0.757965	−	0.652295i	$-0.226194\pi$
$971$	−2.28504	−	3.00592i	−0.0733305	−	0.0964647i	−0.831296	+	0.555830i	$0.812400\pi$
$972$	0.953222	−	15.5593i	0.0305746	−	0.499064i
$973$	−0.559733	−	0.530207i	−0.0179442	−	0.0169977i
$974$	−17.6836	−	16.7508i	−0.566619	−	0.536730i
$975$	3.90436	−	4.11020i	0.125040	−	0.131632i
$976$	−3.65321	−	4.80572i	−0.116936	−	0.153827i
$977$	−15.5251	+	5.23100i	−0.496690	+	0.167354i	−0.556487	−	0.830856i	$-0.687851\pi$
$977$	−15.5251	+	5.23100i	−0.496690	+	0.167354i	0.0597970	+	0.998211i	$0.480955\pi$
$978$	−9.41302	−	5.68165i	−0.300995	−	0.181679i
$979$	8.92804	+	6.78692i	0.285341	+	0.216911i
$980$	7.57516	−	3.01822i	0.241979	−	0.0964134i
$981$	−1.87406	−	4.08076i	−0.0598342	−	0.130288i
$982$	−10.7614	−	2.98790i	−0.343411	−	0.0953476i
$983$	45.1559	+	9.93957i	1.44025	+	0.317023i	0.865336	−	0.501191i	$-0.167105\pi$
$983$	45.1559	+	9.93957i	1.44025	+	0.317023i	0.574913	+	0.818214i	$0.305036\pi$
$984$	0.106162	+	0.316545i	0.00338431	+	0.0100911i
$985$	5.30826	−	13.3227i	0.169135	−	0.424497i
$986$	4.74795	+	8.95558i	0.151205	+	0.285204i
$987$	−1.96214	−	0.664192i	−0.0624556	−	0.0211415i
$988$	4.71650	−	0.255721i	0.150052	−	0.00813558i
$989$	−10.3183	+	2.86486i	−0.328103	+	0.0910973i
$990$	−6.85745	+	5.79169i	−0.217944	+	0.184072i
$991$	−31.8445	+	5.22065i	−1.01157	+	0.165839i	−0.644704	−	0.764433i	$-0.723019\pi$
$991$	−31.8445	+	5.22065i	−1.01157	+	0.165839i	−0.366871	+	0.930272i	$0.619571\pi$
$992$	−0.380944	−	3.50272i	−0.0120950	−	0.111211i
$993$	12.4448	+	31.3621i	0.394924	+	0.995247i
$994$	−1.40890	−	3.04529i	−0.0446876	−	0.0965907i
$995$	20.4769	−	17.3932i	0.649162	−	0.551403i
$996$	15.4846	−	18.1780i	0.490647	−	0.575993i
$997$	15.3907	−	22.6995i	0.487427	−	0.718901i	−0.501849	−	0.864955i	$-0.667347\pi$
$997$	15.3907	−	22.6995i	0.487427	−	0.718901i	0.989277	+	0.146054i	$0.0466572\pi$
$998$	2.25571	−	13.7592i	0.0714033	−	0.435541i
$999$	−22.2883	−	19.0941i	−0.705169	−	0.604109i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	354.2.g.b.23.10	yes	280
3.2	odd	2		354.2.g.a.23.10	✓	280
59.18	odd	58		354.2.g.a.77.10	yes	280
177.77	even	58	inner	354.2.g.b.77.10	yes	280

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
354.2.g.a.23.10	✓	280	3.2	odd	2
354.2.g.a.77.10	yes	280	59.18	odd	58
354.2.g.b.23.10	yes	280	1.1	even	1	trivial
354.2.g.b.77.10	yes	280	177.77	even	58	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.g (of order \(58\), degree \(28\), minimal)

\(f(q)\)	\(=\)	\(q+(0.725995 - 0.687699i) q^{2} +(1.73205 + 0.00243249i) q^{3} +(0.0541389 - 0.998533i) q^{4} +(1.16466 + 0.190936i) q^{5} +(1.25913 - 1.18936i) q^{6} +(0.141142 - 0.266222i) q^{7} +(-0.647386 - 0.762162i) q^{8} +(2.99999 + 0.00842639i) q^{9} +O(q^{10})\)	\(q+(0.725995 - 0.687699i) q^{2} +(1.73205 + 0.00243249i) q^{3} +(0.0541389 - 0.998533i) q^{4} +(1.16466 + 0.190936i) q^{5} +(1.25913 - 1.18936i) q^{6} +(0.141142 - 0.266222i) q^{7} +(-0.647386 - 0.762162i) q^{8} +(2.99999 + 0.00842639i) q^{9} +(0.976845 - 0.662318i) q^{10} +(-2.52028 + 0.274097i) q^{11} +(0.0962002 - 1.72938i) q^{12} +(-0.380998 + 0.823514i) q^{13} +(-0.0806122 - 0.290339i) q^{14} +(2.01679 + 0.333544i) q^{15} +(-0.994138 - 0.108119i) q^{16} +(-5.35154 + 2.83721i) q^{17} +(2.18377 - 2.05697i) q^{18} +(4.46044 - 2.68376i) q^{19} +(0.253710 - 1.15262i) q^{20} +(0.245112 - 0.460766i) q^{21} +(-1.64122 + 1.93219i) q^{22} +(0.595716 + 1.49513i) q^{23} +(-1.11945 - 1.32168i) q^{24} +(-3.41829 - 1.15176i) q^{25} +(0.289727 + 0.859879i) q^{26} +(5.19611 + 0.0218924i) q^{27} +(-0.258190 - 0.155348i) q^{28} +(1.15084 - 1.21492i) q^{29} +(1.69356 - 1.14479i) q^{30} +(-1.81649 + 3.01903i) q^{31} +(-0.796093 + 0.605174i) q^{32} +(-4.36592 + 0.468619i) q^{33} +(-1.93405 + 5.74005i) q^{34} +(0.215214 - 0.283109i) q^{35} +(0.170830 - 2.99513i) q^{36} +(-4.30482 - 3.65655i) q^{37} +(1.39264 - 5.01584i) q^{38} +(-0.661910 + 1.42544i) q^{39} +(-0.608461 - 1.01127i) q^{40} +(-0.179071 - 0.0713485i) q^{41} +(-0.138918 - 0.503077i) q^{42} +(-0.719384 + 6.61462i) q^{43} +(0.137250 + 2.53142i) q^{44} +(3.49236 + 0.582621i) q^{45} +(1.46069 + 0.675788i) q^{46} +(-0.642133 - 3.91684i) q^{47} +(-1.72163 - 0.189686i) q^{48} +(3.87736 + 5.71867i) q^{49} +(-3.27372 + 1.51459i) q^{50} +(-9.27604 + 4.90117i) q^{51} +(0.801679 + 0.425023i) q^{52} +(-3.04142 - 2.06213i) q^{53} +(3.78741 - 3.55747i) q^{54} +(-2.98761 - 0.161983i) q^{55} +(-0.294277 + 0.0647753i) q^{56} +(7.73223 - 4.63755i) q^{57} -1.67346i q^{58} +(-2.74338 - 7.17453i) q^{59} +(0.442242 - 1.99577i) q^{60} +(4.15138 + 4.38256i) q^{61} +(0.757421 + 3.44100i) q^{62} +(0.425667 - 0.797473i) q^{63} +(-0.161782 + 0.986827i) q^{64} +(-0.600972 + 0.886368i) q^{65} +(-2.84737 + 3.34265i) q^{66} +(-3.38248 + 2.87310i) q^{67} +(2.54332 + 5.49730i) q^{68} +(1.02817 + 2.59110i) q^{69} +(-0.0384496 - 0.353538i) q^{70} +(10.9889 - 1.80155i) q^{71} +(-1.93573 - 2.29193i) q^{72} +(-12.3998 + 3.44278i) q^{73} +(-5.63989 + 0.305786i) q^{74} +(-5.91784 - 2.00321i) q^{75} +(-2.43834 - 4.59919i) q^{76} +(-0.282746 + 0.709640i) q^{77} +(0.499730 + 1.49006i) q^{78} +(-7.17805 - 1.58001i) q^{79} +(-1.13719 - 0.315739i) q^{80} +(8.99986 + 0.0505581i) q^{81} +(-0.179071 + 0.0713485i) q^{82} +(10.9754 + 8.34331i) q^{83} +(-0.446820 - 0.269698i) q^{84} +(-6.77446 + 2.28258i) q^{85} +(4.02660 + 5.29691i) q^{86} +(1.99626 - 2.10151i) q^{87} +(1.84050 + 1.74342i) q^{88} +(-3.21162 - 3.04221i) q^{89} +(2.93611 - 1.97871i) q^{90} +(0.165462 + 0.217662i) q^{91} +(1.52519 - 0.513898i) q^{92} +(-3.15359 + 5.22468i) q^{93} +(-3.15979 - 2.40201i) q^{94} +(5.70733 - 2.27401i) q^{95} +(-1.38034 + 1.04625i) q^{96} +(5.83361 + 1.61969i) q^{97} +(6.74767 + 1.48527i) q^{98} +(-7.56312 + 0.801051i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 280 q + 10 q^{2} + q^{3} - 10 q^{4} - q^{6} + 2 q^{7} + 10 q^{8} - 3 q^{9}+O(q^{10}) \) 280 * q + 10 * q^2 + q^3 - 10 * q^4 - q^6 + 2 * q^7 + 10 * q^8 - 3 * q^9	\( 280 q + 10 q^{2} + q^{3} - 10 q^{4} - q^{6} + 2 q^{7} + 10 q^{8} - 3 q^{9} - 4 q^{11} + q^{12} + 27 q^{14} + 7 q^{15} - 10 q^{16} + 3 q^{18} + 6 q^{19} + 3 q^{21} + 4 q^{22} + 8 q^{23} - q^{24} - 4 q^{25} + 97 q^{27} + 2 q^{28} - 7 q^{30} + 10 q^{32} - 3 q^{36} - 6 q^{38} + 4 q^{39} - 3 q^{42} - 4 q^{44} - 18 q^{45} - 8 q^{46} - 232 q^{47} + q^{48} - 8 q^{49} + 4 q^{50} - 118 q^{51} + 58 q^{53} - 126 q^{54} - 2 q^{56} + 32 q^{57} - 20 q^{59} - 80 q^{60} - 329 q^{63} - 10 q^{64} - 16 q^{65} - 87 q^{66} - 130 q^{69} + 3 q^{72} - 25 q^{75} + 6 q^{76} - 106 q^{77} - 4 q^{78} - 6 q^{79} - 7 q^{81} + 104 q^{83} + 3 q^{84} + 4 q^{85} + 15 q^{87} + 4 q^{88} + 16 q^{89} - 11 q^{90} + 8 q^{92} - 122 q^{93} - q^{96} + 8 q^{98} - 2 q^{99}+O(q^{100}) \) 280 * q + 10 * q^2 + q^3 - 10 * q^4 - q^6 + 2 * q^7 + 10 * q^8 - 3 * q^9 - 4 * q^11 + q^12 + 27 * q^14 + 7 * q^15 - 10 * q^16 + 3 * q^18 + 6 * q^19 + 3 * q^21 + 4 * q^22 + 8 * q^23 - q^24 - 4 * q^25 + 97 * q^27 + 2 * q^28 - 7 * q^30 + 10 * q^32 - 3 * q^36 - 6 * q^38 + 4 * q^39 - 3 * q^42 - 4 * q^44 - 18 * q^45 - 8 * q^46 - 232 * q^47 + q^48 - 8 * q^49 + 4 * q^50 - 118 * q^51 + 58 * q^53 - 126 * q^54 - 2 * q^56 + 32 * q^57 - 20 * q^59 - 80 * q^60 - 329 * q^63 - 10 * q^64 - 16 * q^65 - 87 * q^66 - 130 * q^69 + 3 * q^72 - 25 * q^75 + 6 * q^76 - 106 * q^77 - 4 * q^78 - 6 * q^79 - 7 * q^81 + 104 * q^83 + 3 * q^84 + 4 * q^85 + 15 * q^87 + 4 * q^88 + 16 * q^89 - 11 * q^90 + 8 * q^92 - 122 * q^93 - q^96 + 8 * q^98 - 2 * q^99

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