LMFDB - Embedded newform 324.2.p.a.263.41

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [324,2,Mod(11,324)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(324, base_ring=CyclotomicField(54))

chi = DirichletCharacter(H, H._module([27, 13]))

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

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

chi := DirichletCharacter("324.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 324 = 2^{2} \cdot 3^{4} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	324.p (of order $54$, degree $18$, 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:	$2.58715302549$
Analytic rank:	$0$
Dimension:	$936$
Relative dimension:	$52$ over $\Q(\zeta_{54})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label			263.41
Character	$\chi$	$=$	324.263
Dual form			324.2.p.a.239.41

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.14720 + 0.827004i) q^{2} +(0.674767 + 1.59521i) q^{3} +(0.632129 + 1.89748i) q^{4} +(1.35110 - 2.69027i) q^{5} +(-0.545153 + 2.38806i) q^{6} +(0.567965 - 0.170038i) q^{7} +(-0.844043 + 2.69955i) q^{8} +(-2.08938 + 2.15279i) q^{9} +O(q^{10})$	\(q+(1.14720 + 0.827004i) q^{2} +(0.674767 + 1.59521i) q^{3} +(0.632129 + 1.89748i) q^{4} +(1.35110 - 2.69027i) q^{5} +(-0.545153 + 2.38806i) q^{6} +(0.567965 - 0.170038i) q^{7} +(-0.844043 + 2.69955i) q^{8} +(-2.08938 + 2.15279i) q^{9} +(3.77485 - 1.96890i) q^{10} +(-0.101854 + 1.74876i) q^{11} +(-2.60033 + 2.28873i) q^{12} +(0.498156 - 0.669140i) q^{13} +(0.792191 + 0.274643i) q^{14} +(5.20322 + 0.339989i) q^{15} +(-3.20083 + 2.39890i) q^{16} +(-4.04374 - 4.81914i) q^{17} +(-4.17730 + 0.741748i) q^{18} +(3.23177 - 3.85147i) q^{19} +(5.95879 + 0.863090i) q^{20} +(0.654489 + 0.791287i) q^{21} +(-1.56308 + 1.92195i) q^{22} +(-0.850616 + 2.84125i) q^{23} +(-4.87588 + 0.475145i) q^{24} +(-2.42627 - 3.25904i) q^{25} +(1.12487 - 0.355659i) q^{26} +(-4.84399 - 1.88037i) q^{27} +(0.681669 + 0.970214i) q^{28} +(-3.26079 - 1.40657i) q^{29} +(5.68795 + 4.69312i) q^{30} +(-1.47381 + 1.39047i) q^{31} +(-5.65588 + 0.104915i) q^{32} +(-2.85837 + 1.01753i) q^{33} +(-0.653523 - 8.87270i) q^{34} +(0.309933 - 1.75772i) q^{35} +(-5.40562 - 2.60371i) q^{36} +(0.881238 + 4.99775i) q^{37} +(6.89267 - 1.74572i) q^{38} +(1.40356 + 0.343150i) q^{39} +(6.12213 + 5.91808i) q^{40} +(1.24233 - 10.6288i) q^{41} +(0.0964315 + 1.44903i) q^{42} +(-3.01491 + 4.58395i) q^{43} +(-3.38262 + 0.912179i) q^{44} +(2.96860 + 8.52963i) q^{45} +(-3.32555 + 2.55602i) q^{46} +(4.63336 - 4.91107i) q^{47} +(-5.98655 - 3.48729i) q^{48} +(-5.55474 + 3.65341i) q^{49} +(-0.0881688 - 5.74530i) q^{50} +(4.95895 - 9.70240i) q^{51} +(1.58458 + 0.522257i) q^{52} +(9.48112 - 5.47392i) q^{53} +(-4.00194 - 6.16315i) q^{54} +(4.56703 + 2.63677i) q^{55} +(-0.0203611 + 1.67677i) q^{56} +(8.32460 + 2.55650i) q^{57} +(-2.57754 - 4.31030i) q^{58} +(-0.383706 - 6.58798i) q^{59} +(2.64398 + 10.0879i) q^{60} +(3.59888 + 0.852950i) q^{61} +(-2.84067 + 0.376295i) q^{62} +(-0.820641 + 1.57798i) q^{63} +(-6.57518 - 4.55708i) q^{64} +(-1.12711 - 2.24425i) q^{65} +(-4.12062 - 1.19658i) q^{66} +(5.85237 - 2.52446i) q^{67} +(6.58804 - 10.7192i) q^{68} +(-5.10636 + 0.560274i) q^{69} +(1.80919 - 1.76013i) q^{70} +(3.95856 + 1.44080i) q^{71} +(-4.04804 - 7.45744i) q^{72} +(6.28105 - 2.28611i) q^{73} +(-3.12220 + 6.46220i) q^{74} +(3.56169 - 6.06949i) q^{75} +(9.35097 + 3.69758i) q^{76} +(0.239506 + 1.01056i) q^{77} +(1.32637 + 1.55441i) q^{78} +(1.97428 + 16.8910i) q^{79} +(2.12903 + 11.8522i) q^{80} +(-0.268980 - 8.99598i) q^{81} +(10.2153 - 11.1660i) q^{82} +(-14.2885 + 1.67009i) q^{83} +(-1.08773 + 1.74207i) q^{84} +(-18.4283 + 4.36758i) q^{85} +(-7.24965 + 2.76536i) q^{86} +(0.0434965 - 6.15074i) q^{87} +(-4.63491 - 1.75099i) q^{88} +(1.66262 + 4.56801i) q^{89} +(-3.64846 + 12.2402i) q^{90} +(0.169156 - 0.464754i) q^{91} +(-5.92891 + 0.182016i) q^{92} +(-3.21256 - 1.41279i) q^{93} +(9.37686 - 1.80217i) q^{94} +(-5.99504 - 13.8981i) q^{95} +(-3.98376 - 8.95152i) q^{96} +(2.71641 - 1.36423i) q^{97} +(-9.39378 - 0.402606i) q^{98} +(-3.55190 - 3.87310i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 936 q - 18 q^{2} - 18 q^{4} - 36 q^{5} - 18 q^{6} - 18 q^{8} - 36 q^{9}+O(q^{10}) $ 936 * q - 18 * q^2 - 18 * q^4 - 36 * q^5 - 18 * q^6 - 18 * q^8 - 36 * q^9	$ 936 q - 18 q^{2} - 18 q^{4} - 36 q^{5} - 18 q^{6} - 18 q^{8} - 36 q^{9} - 18 q^{10} - 18 q^{12} - 36 q^{13} - 18 q^{14} - 18 q^{16} - 36 q^{17} - 18 q^{18} - 18 q^{20} - 36 q^{21} - 18 q^{22} - 18 q^{24} - 36 q^{25} - 27 q^{26} - 9 q^{28} - 36 q^{29} - 18 q^{30} - 18 q^{32} - 36 q^{33} - 18 q^{34} - 18 q^{36} - 36 q^{37} - 18 q^{38} - 18 q^{40} - 36 q^{41} - 63 q^{42} - 90 q^{44} - 36 q^{45} - 18 q^{46} - 117 q^{48} - 36 q^{49} - 135 q^{50} - 18 q^{52} - 54 q^{53} - 144 q^{54} - 144 q^{56} - 36 q^{57} - 18 q^{58} - 135 q^{60} - 36 q^{61} - 117 q^{62} - 18 q^{64} - 36 q^{65} - 90 q^{66} - 63 q^{68} - 36 q^{69} - 18 q^{70} - 18 q^{72} - 36 q^{73} - 18 q^{74} - 18 q^{76} - 36 q^{77} + 9 q^{78} - 36 q^{81} - 36 q^{82} - 45 q^{84} - 36 q^{85} - 18 q^{86} - 18 q^{88} - 54 q^{89} + 45 q^{90} + 72 q^{92} - 144 q^{93} - 18 q^{94} + 99 q^{96} - 36 q^{97} + 153 q^{98}+O(q^{100}) $ 936 * q - 18 * q^2 - 18 * q^4 - 36 * q^5 - 18 * q^6 - 18 * q^8 - 36 * q^9 - 18 * q^10 - 18 * q^12 - 36 * q^13 - 18 * q^14 - 18 * q^16 - 36 * q^17 - 18 * q^18 - 18 * q^20 - 36 * q^21 - 18 * q^22 - 18 * q^24 - 36 * q^25 - 27 * q^26 - 9 * q^28 - 36 * q^29 - 18 * q^30 - 18 * q^32 - 36 * q^33 - 18 * q^34 - 18 * q^36 - 36 * q^37 - 18 * q^38 - 18 * q^40 - 36 * q^41 - 63 * q^42 - 90 * q^44 - 36 * q^45 - 18 * q^46 - 117 * q^48 - 36 * q^49 - 135 * q^50 - 18 * q^52 - 54 * q^53 - 144 * q^54 - 144 * q^56 - 36 * q^57 - 18 * q^58 - 135 * q^60 - 36 * q^61 - 117 * q^62 - 18 * q^64 - 36 * q^65 - 90 * q^66 - 63 * q^68 - 36 * q^69 - 18 * q^70 - 18 * q^72 - 36 * q^73 - 18 * q^74 - 18 * q^76 - 36 * q^77 + 9 * q^78 - 36 * q^81 - 36 * q^82 - 45 * q^84 - 36 * q^85 - 18 * q^86 - 18 * q^88 - 54 * q^89 + 45 * q^90 + 72 * q^92 - 144 * q^93 - 18 * q^94 + 99 * q^96 - 36 * q^97 + 153 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/324\mathbb{Z}\right)^\times$.

$n$	$163$	$245$
$\chi(n)$	$-1$	$e\left(\frac{25}{54}\right)$

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 $

$2$	1.14720	+	0.827004i	0.811192	+	0.584780i
$2$	1.14720	+	0.827004i	0.811192	+	0.584780i
$3$	0.674767	+	1.59521i	0.389577	+	0.920994i
$3$	0.674767	+	1.59521i	0.389577	+	0.920994i
$4$	0.632129	+	1.89748i	0.316064	+	0.948738i
$5$	1.35110	−	2.69027i	0.604232	−	1.20312i	−0.358719	−	0.933446i	$-0.616786\pi$
$5$	1.35110	−	2.69027i	0.604232	−	1.20312i	0.962950	−	0.269678i	$-0.0869174\pi$
$6$	−0.545153	+	2.38806i	−0.222558	+	0.974920i
$7$	0.567965	−	0.170038i	0.214671	−	0.0642682i	−0.177662	−	0.984092i	$-0.556853\pi$
$7$	0.567965	−	0.170038i	0.214671	−	0.0642682i	0.392333	+	0.919823i	$0.371668\pi$
$8$	−0.844043	+	2.69955i	−0.298414	+	0.954436i
$9$	−2.08938	+	2.15279i	−0.696460	+	0.717596i
$10$	3.77485	−	1.96890i	1.19371	−	0.622622i
$11$	−0.101854	+	1.74876i	−0.0307101	+	0.527272i	0.947513	+	0.319717i	$0.103588\pi$
$11$	−0.101854	+	1.74876i	−0.0307101	+	0.527272i	−0.978223	+	0.207555i	$0.933449\pi$
$12$	−2.60033	+	2.28873i	−0.750651	+	0.660699i
$13$	0.498156	−	0.669140i	0.138164	−	0.185586i	−0.727656	−	0.685942i	$-0.759390\pi$
$13$	0.498156	−	0.669140i	0.138164	−	0.185586i	0.865820	+	0.500356i	$0.166798\pi$
$14$	0.792191	+	0.274643i	0.211722	+	0.0734013i
$15$	5.20322	+	0.339989i	1.34346	+	0.0877847i
$16$	−3.20083	+	2.39890i	−0.800207	+	0.599724i
$17$	−4.04374	−	4.81914i	−0.980751	−	1.16881i	−0.985646	−	0.168825i	$-0.946003\pi$
$17$	−4.04374	−	4.81914i	−0.980751	−	1.16881i	0.00489550	−	0.999988i	$-0.498442\pi$
$18$	−4.17730	+	0.741748i	−0.984598	+	0.174832i
$19$	3.23177	−	3.85147i	0.741419	−	0.883589i	−0.255103	−	0.966914i	$-0.582109\pi$
$19$	3.23177	−	3.85147i	0.741419	−	0.883589i	0.996522	+	0.0833249i	$0.0265539\pi$
$20$	5.95879	+	0.863090i	1.33243	+	0.192993i
$21$	0.654489	+	0.791287i	0.142821	+	0.172673i
$22$	−1.56308	+	1.92195i	−0.333250	+	0.409760i
$23$	−0.850616	+	2.84125i	−0.177366	+	0.592442i	0.822359	+	0.568969i	$0.192658\pi$
$23$	−0.850616	+	2.84125i	−0.177366	+	0.592442i	−0.999724	+	0.0234733i	$0.992528\pi$
$24$	−4.87588	+	0.475145i	−0.995286	+	0.0969885i
$25$	−2.42627	−	3.25904i	−0.485253	−	0.651808i
$26$	1.12487	−	0.355659i	0.220604	−	0.0697505i
$27$	−4.84399	−	1.88037i	−0.932226	−	0.361877i
$28$	0.681669	+	0.970214i	0.128823	+	0.183353i
$29$	−3.26079	−	1.40657i	−0.605513	−	0.261193i	0.0711734	−	0.997464i	$-0.477326\pi$
$29$	−3.26079	−	1.40657i	−0.605513	−	0.261193i	−0.676687	+	0.736271i	$0.736585\pi$
$30$	5.68795	+	4.69312i	1.03847	+	0.856842i
$31$	−1.47381	+	1.39047i	−0.264704	+	0.249735i	−0.807137	−	0.590364i	$-0.798984\pi$
$31$	−1.47381	+	1.39047i	−0.264704	+	0.249735i	0.542434	+	0.840099i	$0.317503\pi$
$32$	−5.65588	+	0.104915i	−0.999828	+	0.0185466i
$33$	−2.85837	+	1.01753i	−0.497579	+	0.177129i
$34$	−0.653523	−	8.87270i	−0.112078	−	1.52165i
$35$	0.309933	−	1.75772i	0.0523882	−	0.297108i
$36$	−5.40562	−	2.60371i	−0.900936	−	0.433952i
$37$	0.881238	+	4.99775i	0.144875	+	0.821625i	0.967468	+	0.252994i	$0.0814154\pi$
$37$	0.881238	+	4.99775i	0.144875	+	0.821625i	−0.822593	+	0.568630i	$0.807473\pi$
$38$	6.89267	−	1.74572i	1.11814	−	0.283193i
$39$	1.40356	+	0.343150i	0.224749	+	0.0549480i
$40$	6.12213	+	5.91808i	0.967994	+	0.935730i
$41$	1.24233	−	10.6288i	0.194020	−	1.65995i	−0.448578	−	0.893744i	$-0.648069\pi$
$41$	1.24233	−	10.6288i	0.194020	−	1.65995i	0.642598	−	0.766204i	$-0.277857\pi$
$42$	0.0964315	+	1.44903i	0.0148797	+	0.223590i
$43$	−3.01491	+	4.58395i	−0.459770	+	0.699046i	−0.988748	−	0.149589i	$-0.952205\pi$
$43$	−3.01491	+	4.58395i	−0.459770	+	0.699046i	0.528978	+	0.848635i	$0.322575\pi$
$44$	−3.38262	+	0.912179i	−0.509950	+	0.137516i
$45$	2.96860	+	8.52963i	0.442533	+	1.27152i
$46$	−3.32555	+	2.55602i	−0.490326	+	0.376865i
$47$	4.63336	−	4.91107i	0.675845	−	0.716353i	−0.295151	−	0.955451i	$-0.595370\pi$
$47$	4.63336	−	4.91107i	0.675845	−	0.716353i	0.970996	+	0.239097i	$0.0768515\pi$
$48$	−5.98655	−	3.48729i	−0.864084	−	0.503347i
$49$	−5.55474	+	3.65341i	−0.793535	+	0.521916i
$50$	−0.0881688	−	5.74530i	−0.0124690	−	0.812508i
$51$	4.95895	−	9.70240i	0.694392	−	1.35861i
$52$	1.58458	+	0.522257i	0.219741	+	0.0724240i
$53$	9.48112	−	5.47392i	1.30233	−	0.751901i	0.321528	−	0.946900i	$-0.395804\pi$
$53$	9.48112	−	5.47392i	1.30233	−	0.751901i	0.980803	+	0.194999i	$0.0624703\pi$
$54$	−4.00194	−	6.16315i	−0.544595	−	0.838699i
$55$	4.56703	+	2.63677i	0.615818	+	0.355543i
$56$	−0.0203611	+	1.67677i	−0.00272087	+	0.224068i
$57$	8.32460	+	2.55650i	1.10262	+	0.338617i
$58$	−2.57754	−	4.31030i	−0.338447	−	0.565970i
$59$	−0.383706	−	6.58798i	−0.0499543	−	0.857682i	−0.926484	−	0.376334i	$-0.877184\pi$
$59$	−0.383706	−	6.58798i	−0.0499543	−	0.857682i	0.876530	−	0.481348i	$-0.159853\pi$
$60$	2.64398	+	10.0879i	0.341337	+	1.30234i
$61$	3.59888	+	0.852950i	0.460789	+	0.109209i	0.454453	−	0.890771i	$-0.349835\pi$
$61$	3.59888	+	0.852950i	0.460789	+	0.109209i	0.00633641	+	0.999980i	$0.497983\pi$
$62$	−2.84067	+	0.376295i	−0.360765	+	0.0477896i
$63$	−0.820641	+	1.57798i	−0.103391	+	0.198807i
$64$	−6.57518	−	4.55708i	−0.821898	−	0.569635i
$65$	−1.12711	−	2.24425i	−0.139800	−	0.278365i
$66$	−4.12062	−	1.19658i	−0.507213	−	0.147288i
$67$	5.85237	−	2.52446i	0.714980	−	0.308412i	−0.00733796	−	0.999973i	$-0.502336\pi$
$67$	5.85237	−	2.52446i	0.714980	−	0.308412i	0.722318	+	0.691561i	$0.243077\pi$
$68$	6.58804	−	10.7192i	0.798917	−	1.29990i
$69$	−5.10636	+	0.560274i	−0.614733	+	0.0674490i
$70$	1.80919	−	1.76013i	0.216240	−	0.210376i
$71$	3.95856	+	1.44080i	0.469794	+	0.170991i	0.566059	−	0.824365i	$-0.308467\pi$
$71$	3.95856	+	1.44080i	0.469794	+	0.170991i	−0.0962648	+	0.995356i	$0.530690\pi$
$72$	−4.04804	−	7.45744i	−0.477066	−	0.878868i
$73$	6.28105	−	2.28611i	0.735141	−	0.267569i	0.0528015	−	0.998605i	$-0.483185\pi$
$73$	6.28105	−	2.28611i	0.735141	−	0.267569i	0.682339	+	0.731036i	$0.260963\pi$
$74$	−3.12220	+	6.46220i	−0.362949	+	0.751215i
$75$	3.56169	−	6.06949i	0.411268	−	0.700844i
$76$	9.35097	+	3.69758i	1.07263	+	0.424141i
$77$	0.239506	+	1.01056i	0.0272943	+	0.115164i
$78$	1.32637	+	1.55441i	0.150182	+	0.176002i
$79$	1.97428	+	16.8910i	0.222124	+	1.90039i	0.400286	+	0.916390i	$0.368911\pi$
$79$	1.97428	+	16.8910i	0.222124	+	1.90039i	−0.178162	+	0.984001i	$0.557015\pi$
$80$	2.12903	+	11.8522i	0.238033	+	1.32512i
$81$	−0.268980	−	8.99598i	−0.0298867	−	0.999553i
$82$	10.2153	−	11.1660i	1.12809	−	1.23308i
$83$	−14.2885	+	1.67009i	−1.56837	+	0.183316i	−0.855434	−	0.517912i	$-0.826709\pi$
$83$	−14.2885	+	1.67009i	−1.56837	+	0.183316i	−0.712937	+	0.701228i	$0.752635\pi$
$84$	−1.08773	+	1.74207i	−0.118681	+	0.190076i
$85$	−18.4283	+	4.36758i	−1.99883	+	0.473731i
$86$	−7.24965	+	2.76536i	−0.781750	+	0.298196i
$87$	0.0434965	−	6.15074i	0.00466331	−	0.659429i
$88$	−4.63491	−	1.75099i	−0.494084	−	0.186656i
$89$	1.66262	+	4.56801i	0.176237	+	0.484208i	0.996088	−	0.0883699i	$-0.0281658\pi$
$89$	1.66262	+	4.56801i	0.176237	+	0.484208i	−0.819851	+	0.572578i	$0.805944\pi$
$90$	−3.64846	+	12.2402i	−0.384581	+	1.29023i
$91$	0.169156	−	0.464754i	0.0177324	−	0.0487194i
$92$	−5.92891	+	0.182016i	−0.618131	+	0.0189765i
$93$	−3.21256	−	1.41279i	−0.333127	−	0.146500i
$94$	9.37686	−	1.80217i	0.967149	−	0.185880i
$95$	−5.99504	−	13.8981i	−0.615078	−	1.42591i
$96$	−3.98376	−	8.95152i	−0.406591	−	0.913610i
$97$	2.71641	−	1.36423i	0.275810	−	0.138517i	−0.305518	−	0.952186i	$-0.598830\pi$
$97$	2.71641	−	1.36423i	0.275810	−	0.138517i	0.581328	+	0.813669i	$0.302533\pi$
$98$	−9.39378	−	0.402606i	−0.948915	−	0.0406694i
$99$	−3.55190	−	3.87310i	−0.356980	−	0.389262i
$100$	4.65024	−	6.66391i	0.465024	−	0.666391i
$101$	−4.06358	+	17.1456i	−0.404342	+	1.70605i	0.265978	+	0.963979i	$0.414305\pi$
$101$	−4.06358	+	17.1456i	−0.404342	+	1.70605i	−0.670320	+	0.742072i	$0.733843\pi$
$102$	13.7128	−	7.02950i	1.35777	−	0.696025i
$103$	−12.6702	+	0.737953i	−1.24843	+	0.0727127i	−0.669591	−	0.742730i	$-0.733530\pi$
$103$	−12.6702	+	0.737953i	−1.24843	+	0.0727127i	−0.578837	+	0.815443i	$0.696493\pi$
$104$	1.38591	+	1.90958i	0.135900	+	0.187250i
$105$	3.01306	−	0.691641i	0.294044	−	0.0674972i
$106$	15.4037	+	1.56124i	1.49614	+	0.151641i
$107$	−8.84652	+	15.3226i	−0.855225	+	1.48129i	0.0212110	+	0.999775i	$0.493248\pi$
$107$	−8.84652	+	15.3226i	−0.855225	+	1.48129i	−0.876436	+	0.481518i	$0.840086\pi$
$108$	0.505930	−	10.3800i	0.0486832	−	0.998814i
$109$	−0.135311	−	0.234365i	−0.0129604	−	0.0224481i	0.859472	−	0.511182i	$-0.170792\pi$
$109$	−0.135311	−	0.234365i	−0.0129604	−	0.0224481i	−0.872433	+	0.488734i	$0.837459\pi$
$110$	3.05866	+	6.80185i	0.291632	+	0.648531i
$111$	−7.37782	+	4.77807i	−0.700272	+	0.453515i
$112$	−1.41006	+	1.90675i	−0.133238	+	0.180171i
$113$	3.66619	+	5.57418i	0.344886	+	0.524374i	0.965726	−	0.259563i	$-0.0835786\pi$
$113$	3.66619	+	5.57418i	0.344886	+	0.524374i	−0.620840	+	0.783938i	$0.713208\pi$
$114$	7.43573	+	9.81729i	0.696420	+	0.919473i
$115$	6.49446	+	6.12721i	0.605612	+	0.571365i
$116$	0.607688	−	7.07640i	0.0564224	−	0.657027i
$117$	0.399678	+	2.47051i	0.0369502	+	0.228399i
$118$	5.00810	−	7.87505i	0.461033	−	0.724957i
$119$	−3.11614	−	2.04952i	−0.285656	−	0.187879i
$120$	−5.30955	+	13.7594i	−0.484694	+	1.25606i
$121$	7.87782	+	0.920785i	0.716165	+	0.0837077i
$122$	3.42323	+	3.95479i	0.309925	+	0.358050i
$123$	17.7935	−	5.19021i	1.60439	−	0.467985i
$124$	−3.57001	−	1.91756i	−0.320596	−	0.172202i
$125$	2.77792	−	0.489822i	0.248465	−	0.0438110i
$126$	−2.24643	+	1.13158i	−0.200128	+	0.100810i
$127$	−18.2956	−	3.22600i	−1.62347	−	0.286262i	−0.713413	−	0.700744i	$-0.752852\pi$
$127$	−18.2956	−	3.22600i	−1.62347	−	0.286262i	−0.910057	+	0.414482i	$0.863963\pi$
$128$	−3.77432	−	10.6656i	−0.333606	−	0.942713i
$129$	−9.34672	−	1.71632i	−0.822933	−	0.151113i
$130$	0.562991	−	3.50672i	0.0493776	−	0.307560i
$131$	−8.21845	−	8.71105i	−0.718050	−	0.761088i	0.260861	−	0.965376i	$-0.415994\pi$
$131$	−8.21845	−	8.71105i	−0.718050	−	0.761088i	−0.978911	+	0.204288i	$0.934512\pi$
$132$	−3.73760	−	4.78048i	−0.325316	−	0.416087i
$133$	1.18064	−	2.73703i	0.102374	−	0.237330i
$134$	8.80157	+	1.94387i	0.760340	+	0.167925i
$135$	−11.6034	+	10.4910i	−0.998663	+	0.902926i
$136$	16.4226	−	6.84873i	1.40823	−	0.587274i
$137$	12.0143	−	8.94433i	1.02645	−	0.764165i	0.0543021	−	0.998525i	$-0.482707\pi$
$137$	12.0143	−	8.94433i	1.02645	−	0.764165i	0.972150	+	0.234359i	$0.0752992\pi$
$138$	−6.32136	−	3.58023i	−0.538110	−	0.304770i
$139$	−6.22336	−	1.86315i	−0.527858	−	0.158030i	0.0117747	−	0.999931i	$-0.496252\pi$
$139$	−6.22336	−	1.86315i	−0.527858	−	0.158030i	−0.539633	+	0.841900i	$0.681437\pi$
$140$	3.53114	−	0.523013i	0.298436	−	0.0442027i
$141$	10.9606	+	4.07734i	0.923050	+	0.343374i
$142$	3.34971	+	4.92662i	0.281101	+	0.413433i
$143$	1.11943	+	0.939313i	0.0936114	+	0.0785493i
$144$	1.52343	−	11.9029i	0.126952	−	0.991909i
$145$	−8.18971	+	6.87198i	−0.680118	+	0.570687i
$146$	9.09623	+	2.57182i	0.752809	+	0.212846i
$147$	−9.57611	−	6.39577i	−0.789824	−	0.527514i
$148$	−8.92605	+	4.83135i	−0.733717	+	0.397134i
$149$	−17.7889	−	13.2433i	−1.45732	−	1.08494i	−0.978314	−	0.207127i	$-0.933589\pi$
$149$	−17.7889	−	13.2433i	−1.45732	−	1.08494i	−0.479009	−	0.877810i	$-0.659004\pi$
$150$	9.10545	−	4.01738i	0.743457	−	0.328018i
$151$	21.1002	+	1.22895i	1.71711	+	0.100010i	0.888226	−	0.459406i	$-0.151938\pi$
$151$	21.1002	+	1.22895i	1.71711	+	0.100010i	0.828887	+	0.559417i	$0.188975\pi$
$152$	7.66951	+	11.9751i	0.622079	+	0.971313i
$153$	18.8235	+	1.36371i	1.52179	+	0.110249i
$154$	−0.560973	+	1.35738i	−0.0452045	+	0.109381i
$155$	1.74946	+	5.84360i	0.140520	+	0.469369i
$156$	0.236110	+	2.88013i	0.0189040	+	0.230595i
$157$	−5.07105	−	2.54678i	−0.404714	−	0.203255i	0.234785	−	0.972047i	$-0.424562\pi$
$157$	−5.07105	−	2.54678i	−0.404714	−	0.203255i	−0.639498	+	0.768793i	$0.720858\pi$
$158$	−11.7041	+	21.0101i	−0.931126	+	1.67148i
$159$	15.1296	+	11.4307i	1.19985	+	0.906516i
$160$	−7.35943	+	15.3576i	−0.581814	+	1.21412i
$161$			1.75837i			0.138579i
$162$	7.13114	−	10.5426i	0.560275	−	0.828307i
$163$			15.5606i			1.21880i	0.792862	+	0.609401i	$0.208590\pi$
$163$			15.5606i			1.21880i	−0.792862	+	0.609401i	$0.791410\pi$
$164$	20.9533	−	4.36150i	1.63618	−	0.340576i
$165$	−1.12453	+	9.06457i	−0.0875444	+	0.705676i
$166$	−17.7730	−	9.90075i	−1.37945	−	0.768447i
$167$	2.55961	+	1.28548i	0.198069	+	0.0994738i	0.545069	−	0.838391i	$-0.316503\pi$
$167$	2.55961	+	1.28548i	0.198069	+	0.0994738i	−0.347000	+	0.937865i	$0.612800\pi$
$168$	−2.68854	+	1.09895i	−0.207425	+	0.0847858i
$169$	3.52885	+	11.7872i	0.271450	+	0.906707i
$170$	−24.7529	−	10.2298i	−1.89846	−	0.784588i
$171$	1.53900	+	15.0045i	0.117691	+	1.14742i
$172$	−10.6037	−	2.82307i	−0.808528	−	0.215257i
$173$	−17.5441	−	1.02183i	−1.33385	−	0.0776880i	−0.623660	−	0.781696i	$-0.714355\pi$
$173$	−17.5441	−	1.02183i	−1.33385	−	0.0776880i	−0.710192	+	0.704008i	$0.751392\pi$
$174$	5.13659	−	7.02015i	0.389404	−	0.532196i
$175$	−1.93219	−	1.43846i	−0.146060	−	0.108738i
$176$	−3.86909	−	5.84183i	−0.291644	−	0.440344i
$177$	10.2503	−	5.05744i	0.770459	−	0.380141i
$178$	−1.87041	+	6.61540i	−0.140193	+	0.495845i
$179$	−14.3929	+	12.0771i	−1.07578	+	0.902683i	−0.995563	−	0.0940953i	$-0.970004\pi$
$179$	−14.3929	+	12.0771i	−1.07578	+	0.902683i	−0.0802119	+	0.996778i	$0.525560\pi$
$180$	−14.3082	+	11.0247i	−1.06647	+	0.821731i
$181$	4.16407	+	3.49407i	0.309513	+	0.259712i	0.784291	−	0.620394i	$-0.213027\pi$
$181$	4.16407	+	3.49407i	0.309513	+	0.259712i	−0.474778	+	0.880106i	$0.657472\pi$
$182$	0.578409	−	0.393271i	0.0428745	−	0.0291512i
$183$	1.06777	+	6.31650i	0.0789318	+	0.466929i
$184$	−6.95216	−	4.69442i	−0.512520	−	0.346077i
$185$	14.6359	+	4.38171i	1.07605	+	0.322150i
$186$	−2.51706	−	4.27755i	−0.184560	−	0.313645i
$187$	8.83941	−	6.58070i	0.646402	−	0.481228i
$188$	12.2475	+	5.68725i	0.893242	+	0.414785i
$189$	−3.07095	−	0.244324i	−0.223379	−	0.0177720i
$190$	4.61625	−	20.9018i	0.334898	−	1.51637i
$191$	−0.462254	+	1.07162i	−0.0334475	+	0.0775401i	−0.934121	−	0.356957i	$-0.883814\pi$
$191$	−0.462254	+	1.07162i	−0.0334475	+	0.0775401i	0.900673	+	0.434497i	$0.143074\pi$
$192$	2.83278	−	13.5638i	0.204438	−	0.978880i
$193$	−9.44154	−	10.0074i	−0.679617	−	0.720352i	0.292129	−	0.956379i	$-0.405636\pi$
$193$	−9.44154	−	10.0074i	−0.679617	−	0.720352i	−0.971747	+	0.236027i	$0.924155\pi$
$194$	4.24449	+	0.681437i	0.304736	+	0.0489243i
$195$	2.81951	−	3.31231i	0.201910	−	0.237200i
$196$	−10.4436	−	8.23056i	−0.745969	−	0.587897i
$197$	11.3989	+	2.00993i	0.812135	+	0.143201i	0.564267	−	0.825593i	$-0.309159\pi$
$197$	11.3989	+	2.00993i	0.812135	+	0.143201i	0.247868	+	0.968794i	$0.420270\pi$
$198$	−0.871668	−	7.38066i	−0.0619467	−	0.524521i
$199$	−4.42990	+	0.781111i	−0.314027	+	0.0553715i	−0.328441	−	0.944525i	$-0.606523\pi$
$199$	−4.42990	+	0.781111i	−0.314027	+	0.0553715i	0.0144132	+	0.999896i	$0.495412\pi$
$200$	10.8458	−	3.79907i	0.766916	−	0.268634i
$201$	7.97603	+	7.63232i	0.562586	+	0.538342i
$202$	−18.8412	+	16.3088i	−1.32566	+	1.14748i
$203$	−2.09118	−	0.244424i	−0.146772	−	0.0171552i
$204$	21.5448	+	3.27633i	1.50844	+	0.229389i
$205$	−26.9159	−	17.7029i	−1.87989	−	1.23642i
$206$	−15.1455	−	9.63170i	−1.05524	−	0.671072i
$207$	−4.33935	−	7.76765i	−0.301606	−	0.539889i
$208$	0.0106865	+	3.33683i	0.000740979	+	0.231367i
$209$	6.40615	+	6.04389i	0.443123	+	0.418065i
$210$	4.02856	+	1.69836i	0.277997	+	0.117198i
$211$	−1.86183	−	2.83078i	−0.128174	−	0.194879i	0.765699	−	0.643199i	$-0.222393\pi$
$211$	−1.86183	−	2.83078i	−0.128174	−	0.194879i	−0.893873	+	0.448320i	$0.852023\pi$
$212$	16.3799	+	14.5300i	1.12498	+	0.997922i
$213$	0.372730	+	7.28693i	0.0255391	+	0.499292i
$214$	−22.8206	+	10.2620i	−1.55998	+	0.701494i
$215$	8.25860	+	14.3043i	0.563232	+	0.975546i
$216$	9.16469	−	11.4895i	0.623578	−	0.781761i
$217$	−0.600640	+	1.04034i	−0.0407741	+	0.0706228i
$218$	0.0385926	−	0.380766i	0.00261382	−	0.0257887i
$219$	7.88507	+	8.47698i	0.532823	+	0.572821i
$220$	−2.11627	+	10.3326i	−0.142679	+	0.696624i
$221$	−5.23909	+	0.305142i	−0.352420	+	0.0205261i
$222$	−12.4153	−	0.620091i	−0.833261	−	0.0416178i
$223$	0.485530	−	2.04861i	0.0325135	−	0.137185i	−0.954367	−	0.298635i	$-0.903469\pi$
$223$	0.485530	−	2.04861i	0.0325135	−	0.137185i	0.986881	+	0.161450i	$0.0516169\pi$
$224$	−3.19450	+	1.02130i	−0.213442	+	0.0682385i
$225$	12.0854	+	1.58614i	0.805694	+	0.105743i
$226$	−0.404015	+	9.42664i	−0.0268747	+	0.627051i
$227$	0.259410	−	0.130281i	0.0172176	−	0.00864703i	−0.440170	−	0.897915i	$-0.645082\pi$
$227$	0.259410	−	0.130281i	0.0172176	−	0.00864703i	0.457387	+	0.889268i	$0.348785\pi$
$228$	0.411316	+	17.4118i	0.0272401	+	1.15312i
$229$	9.78036	+	22.6734i	0.646305	+	1.49830i	0.854089	+	0.520128i	$0.174116\pi$
$229$	9.78036	+	22.6734i	0.646305	+	1.49830i	−0.207784	+	0.978175i	$0.566625\pi$
$230$	2.38321	+	12.4001i	0.157144	+	0.817637i
$231$	−1.45044	+	1.06395i	−0.0954318	+	0.0700029i
$232$	6.54935	−	7.61548i	0.429986	−	0.499980i
$233$	−0.325422	+	0.894090i	−0.0213191	+	0.0585738i	−0.949896	−	0.312567i	$-0.898811\pi$
$233$	−0.325422	+	0.894090i	−0.0213191	+	0.0585738i	0.928577	+	0.371141i	$0.121033\pi$
$234$	−1.58461	+	3.16470i	−0.103589	+	0.206883i
$235$	−6.95195	−	19.1003i	−0.453495	−	1.24597i
$236$	12.2580	−	4.89253i	0.797927	−	0.318476i
$237$	−25.6126	+	14.5469i	−1.66371	+	0.944923i
$238$	−1.87987	−	4.92826i	−0.121854	−	0.319452i
$239$	29.4073	−	6.96966i	1.90220	−	0.450830i	0.902399	−	0.430902i	$-0.141805\pi$
$239$	29.4073	−	6.96966i	1.90220	−	0.450830i	0.999801	−	0.0199276i	$-0.00634358\pi$
$240$	−17.4702	+	11.3937i	−1.12770	+	0.735463i
$241$	12.1733	−	1.42285i	0.784149	−	0.0916539i	0.285409	−	0.958406i	$-0.407870\pi$
$241$	12.1733	−	1.42285i	0.784149	−	0.0916539i	0.498740	+	0.866752i	$0.333796\pi$
$242$	8.27593	+	7.57131i	0.531997	+	0.486702i
$243$	14.1690	−	6.49927i	0.908939	−	0.416928i
$244$	0.656503	+	7.36796i	0.0420283	+	0.471685i
$245$	2.32362	+	19.8799i	0.148451	+	1.27008i
$246$	24.7050	+	8.76111i	1.57513	+	0.558588i
$247$	−0.967249	−	4.08114i	−0.0615446	−	0.259677i
$248$	−2.50968	−	5.15223i	−0.159365	−	0.327167i
$249$	−12.3056	−	21.6663i	−0.779834	−	1.37304i
$250$	3.59191	+	1.73543i	0.227172	+	0.109758i
$251$	3.35432	−	1.22087i	0.211723	−	0.0770607i	−0.233982	−	0.972241i	$-0.575176\pi$
$251$	3.35432	−	1.22087i	0.211723	−	0.0770607i	0.445704	+	0.895180i	$0.352953\pi$
$252$	−3.51293	−	0.559658i	−0.221294	−	0.0352551i
$253$	−4.88205	−	1.77692i	−0.306932	−	0.111714i
$254$	−18.3207	−	18.8314i	−1.14955	−	1.18159i
$255$	−19.4020	−	26.4498i	−1.21500	−	1.65635i
$256$	4.49058	−	15.3569i	0.280661	−	0.959807i
$257$	−20.4455	+	8.81934i	−1.27536	+	0.550135i	−0.922665	−	0.385604i	$-0.873993\pi$
$257$	−20.4455	+	8.81934i	−1.27536	+	0.550135i	−0.352693	+	0.935739i	$0.614734\pi$
$258$	−9.30314	−	9.69873i	−0.579188	−	0.603816i
$259$	1.35032	+	2.68870i	0.0839047	+	0.167068i
$260$	3.54594	−	3.55731i	0.219910	−	0.220615i
$261$	9.84107	−	4.08093i	0.609147	−	0.252603i
$262$	−2.22412	−	16.7900i	−0.137407	−	1.03729i
$263$	17.5450	+	4.15825i	1.08187	+	0.256409i	0.732632	−	0.680625i	$-0.238291\pi$
$263$	17.5450	+	4.15825i	1.08187	+	0.256409i	0.349240	+	0.937033i	$0.386440\pi$
$264$	−0.334288	−	8.57517i	−0.0205740	−	0.527765i
$265$	−1.91636	−	32.9026i	−0.117721	−	2.02119i
$266$	3.61796	−	2.16352i	0.221831	−	0.132654i
$267$	−6.16504	+	5.73456i	−0.377294	+	0.350949i
$268$	8.48956	+	9.50894i	0.518582	+	0.580851i
$269$	7.32989	+	4.23191i	0.446911	+	0.258024i	0.706525	−	0.707688i	$-0.250262\pi$
$269$	7.32989	+	4.23191i	0.446911	+	0.258024i	−0.259614	+	0.965713i	$0.583595\pi$
$270$	−21.9876	+	2.43924i	−1.33812	+	0.148447i
$271$	8.96801	−	5.17768i	0.544768	−	0.314522i	−0.202241	−	0.979336i	$-0.564823\pi$
$271$	8.96801	−	5.17768i	0.544768	−	0.314522i	0.747009	+	0.664814i	$0.231489\pi$
$272$	24.5039	+	5.72472i	1.48577	+	0.347112i
$273$	0.855520	−	0.0437603i	0.0517784	−	0.00264849i
$274$	21.1798	−	0.325031i	1.27952	−	0.0196358i
$275$	5.94642	−	3.91102i	0.358582	−	0.235843i
$276$	−4.29098	−	9.33503i	−0.258287	−	0.561903i
$277$	5.14909	−	5.45771i	0.309379	−	0.327922i	−0.553964	−	0.832541i	$-0.686885\pi$
$277$	5.14909	−	5.45771i	0.309379	−	0.327922i	0.863342	+	0.504619i	$0.168367\pi$
$278$	−5.59860	−	7.28415i	−0.335781	−	0.436874i
$279$	0.0859685	−	6.07800i	0.00514680	−	0.363881i
$280$	4.48345	+	2.32027i	0.267938	+	0.138663i
$281$	10.4544	−	15.8952i	0.623659	−	0.948228i	−0.376107	−	0.926576i	$-0.622737\pi$
$281$	10.4544	−	15.8952i	0.623659	−	0.948228i	0.999766	−	0.0216511i	$-0.00689231\pi$
$282$	9.20202	+	13.7420i	0.547973	+	0.818324i
$283$	0.720022	−	6.16019i	0.0428009	−	0.366185i	−0.954817	−	0.297196i	$-0.903949\pi$
$283$	0.720022	−	6.16019i	0.0428009	−	0.366185i	0.997617	−	0.0689891i	$-0.0219774\pi$
$284$	−0.231559	+	8.42204i	−0.0137405	+	0.499756i
$285$	18.1251	−	18.9413i	1.07364	−	1.12199i
$286$	0.507392	+	2.00335i	0.0300027	+	0.118461i
$287$	−1.10170	−	6.24806i	−0.0650314	−	0.368811i
$288$	11.5914	−	12.3951i	0.683031	−	0.730389i
$289$	−3.92027	+	22.2329i	−0.230604	+	1.30782i
$290$	−15.0784	+	1.11060i	−0.885432	+	0.0652169i
$291$	4.00918	+	3.41270i	0.235022	+	0.200056i
$292$	8.30827	+	10.4730i	0.486205	+	0.612887i
$293$	−19.0896	+	18.0102i	−1.11523	+	1.05216i	−0.116973	+	0.993135i	$0.537319\pi$
$293$	−19.0896	+	18.0102i	−1.11523	+	1.05216i	−0.998256	+	0.0590294i	$0.981199\pi$
$294$	−5.69637	−	15.2567i	−0.332219	−	0.889789i
$295$	−18.2419	−	7.86877i	−1.06208	−	0.458137i
$296$	−14.2355	−	1.83936i	−0.827421	−	0.106911i
$297$	3.78170	−	8.27947i	0.219437	−	0.480424i
$298$	−9.45510	−	29.9042i	−0.547719	−	1.73231i
$299$	1.47746	+	1.98457i	0.0854436	+	0.114771i
$300$	13.7682	+	2.92151i	0.794905	+	0.168674i
$301$	−0.932921	+	3.11617i	−0.0537727	+	0.179613i
$302$	23.1898	+	18.8598i	1.33442	+	1.08526i
$303$	−30.0928	+	5.08702i	−1.72878	+	0.292241i
$304$	−1.10504	+	20.0806i	−0.0633787	+	1.15170i
$305$	7.15712	−	8.52952i	0.409815	−	0.488399i
$306$	20.4665	+	17.1315i	1.16999	+	0.979345i
$307$	−7.51194	−	8.95238i	−0.428729	−	0.510939i	0.507826	−	0.861460i	$-0.330449\pi$
$307$	−7.51194	−	8.95238i	−0.428729	−	0.510939i	−0.936555	+	0.350520i	$0.886005\pi$
$308$	−1.76611	+	1.09326i	−0.100633	+	0.0622942i
$309$	−9.72659	−	19.7136i	−0.553326	−	1.12147i
$310$	−2.82570	+	8.15058i	−0.160489	+	0.462922i
$311$	4.41374	−	5.92868i	0.250280	−	0.336185i	−0.659173	−	0.751992i	$-0.729093\pi$
$311$	4.41374	−	5.92868i	0.250280	−	0.336185i	0.909453	+	0.415807i	$0.136501\pi$
$312$	−2.11101	+	3.49935i	−0.119513	+	0.198111i
$313$	1.37478	−	23.6040i	0.0777071	−	1.33418i	−0.703851	−	0.710347i	$-0.748538\pi$
$313$	1.37478	−	23.6040i	0.0777071	−	1.33418i	0.781558	−	0.623832i	$-0.214425\pi$
$314$	−3.71130	−	7.11543i	−0.209441	−	0.401547i
$315$	3.13642	+	4.33976i	0.176717	+	0.244518i
$316$	−30.8024	+	14.4235i	−1.73277	+	0.811383i
$317$	1.17498	−	0.351766i	0.0659935	−	0.0197572i	−0.253636	−	0.967300i	$-0.581627\pi$
$317$	1.17498	−	0.351766i	0.0659935	−	0.0197572i	0.319630	+	0.947542i	$0.396441\pi$
$318$	7.90338	+	25.6256i	0.443200	+	1.43701i
$319$	2.79188	−	5.55909i	0.156315	−	0.311249i
$320$	−21.1435	+	11.5319i	−1.18196	+	0.644654i
$321$	−30.4121	−	3.77285i	−1.69744	−	0.210580i
$322$	−1.45418	+	2.01720i	−0.0810382	+	0.112414i
$323$	−31.6292			−1.75990
$324$	16.8996	−	6.19700i	0.938868	−	0.344278i
$325$	−3.38941			−0.188011
$326$	−12.8687	+	17.8511i	−0.712731	+	0.988682i
$327$	0.282558	−	0.373990i	0.0156255	−	0.0206817i
$328$	27.6446	+	12.3250i	1.52642	+	0.680532i
$329$	1.79652	−	3.57716i	0.0990453	−	0.197215i
$330$	−8.78649	+	9.46887i	−0.483680	+	0.521244i
$331$	19.5162	−	5.84275i	1.07270	−	0.321147i	0.298713	−	0.954343i	$-0.403443\pi$
$331$	19.5162	−	5.84275i	1.07270	−	0.321147i	0.773991	+	0.633196i	$0.218257\pi$
$332$	−12.2012	−	26.0564i	−0.669625	−	1.43003i
$333$	−12.6003	−	8.54508i	−0.690494	−	0.468268i
$334$	1.87328	+	3.59151i	0.102501	+	0.196519i
$335$	1.11567	−	19.1552i	0.0609553	−	1.04656i
$336$	−3.99312	−	0.962720i	−0.217843	−	0.0525207i
$337$	12.9930	−	17.4526i	0.707774	−	0.950706i	−0.292210	−	0.956354i	$-0.594390\pi$
$337$	12.9930	−	17.4526i	0.707774	−	0.950706i	0.999984	+	0.00564824i	$0.00179790\pi$
$338$	−5.69976	+	16.4406i	−0.310026	+	0.894252i
$339$	−6.41815	+	9.60961i	−0.348586	+	0.521922i
$340$	−19.9364	−	32.2063i	−1.08120	−	1.74663i
$341$	−2.28148	−	2.71897i	−0.123549	−	0.147240i
$342$	−10.6432	+	18.4859i	−0.575521	+	0.999604i
$343$	−5.20132	+	6.19869i	−0.280845	+	0.334698i
$344$	−9.82991	−	12.0080i	−0.529993	−	0.647426i
$345$	−5.39193	+	14.4945i	−0.290292	+	0.780355i
$346$	−19.2815	−	15.6813i	−1.03658	−	0.843030i
$347$	0.516473	−	1.72514i	0.0277257	−	0.0926104i	−0.943007	−	0.332773i	$-0.892016\pi$
$347$	0.516473	−	1.72514i	0.0277257	−	0.0926104i	0.970733	+	0.240163i	$0.0772008\pi$
$348$	11.6984	−	3.80553i	0.627099	−	0.203998i
$349$	7.92989	+	10.6517i	0.424477	+	0.570172i	0.961990	−	0.273084i	$-0.0880436\pi$
$349$	7.92989	+	10.6517i	0.424477	+	0.570172i	−0.537513	+	0.843255i	$0.680636\pi$
$350$	−1.02699	−	3.24814i	−0.0548951	−	0.173620i
$351$	−3.67129	+	2.30459i	−0.195959	+	0.123010i
$352$	0.392601	−	9.90149i	0.0209257	−	0.527751i
$353$	12.3682	+	5.33514i	0.658295	+	0.283961i	0.698905	−	0.715214i	$-0.253671\pi$
$353$	12.3682	+	5.33514i	0.658295	+	0.283961i	−0.0406099	+	0.999175i	$0.512930\pi$
$354$	15.9416	+	2.67514i	0.847289	+	0.142182i
$355$	9.22455	−	8.70291i	0.489588	−	0.461903i
$356$	−7.61669	+	6.04234i	−0.403684	+	0.320244i
$357$	1.16674	−	6.35383i	0.0617504	−	0.336281i
$358$	−26.4993	+	1.95182i	−1.40053	+	0.103157i
$359$	0.0353219	−	0.200320i	0.00186422	−	0.0105725i	−0.983861	−	0.178932i	$-0.942736\pi$
$359$	0.0353219	−	0.200320i	0.00186422	−	0.0105725i	0.985726	+	0.168359i	$0.0538469\pi$
$360$	−25.5318	+	0.814535i	−1.34564	+	0.0429298i
$361$	−1.09020	−	6.18282i	−0.0573788	−	0.325411i
$362$	1.88740	+	7.45209i	0.0991997	+	0.391673i
$363$	3.84684	+	13.1881i	0.201907	+	0.692195i
$364$	0.988787	+	0.0271862i	0.0518265	+	0.00142494i
$365$	2.33608	−	19.9865i	0.122276	−	1.04614i
$366$	−3.99883	+	8.12933i	−0.209022	+	0.424927i
$367$	4.41687	−	6.71553i	0.230559	−	0.350548i	−0.701616	−	0.712555i	$-0.747538\pi$
$367$	4.41687	−	6.71553i	0.230559	−	0.350548i	0.932175	+	0.362007i	$0.117908\pi$
$368$	−4.09320	−	11.1349i	−0.213373	−	0.580447i
$369$	20.2859	+	24.8822i	1.05604	+	1.29532i
$370$	13.1666	+	17.1307i	0.684500	+	0.890580i
$371$	4.45417	−	4.72114i	0.231249	−	0.245110i
$372$	0.649985	−	6.98882i	0.0337001	−	0.362353i
$373$	−11.6338	+	7.65168i	−0.602376	+	0.396189i	−0.813749	−	0.581217i	$-0.802577\pi$
$373$	−11.6338	+	7.65168i	−0.602376	+	0.396189i	0.211373	+	0.977405i	$0.432207\pi$
$374$	15.5828	−	0.239138i	0.805768	−	0.0123655i
$375$	2.65582	+	4.10085i	0.137146	+	0.211767i
$376$	9.34695	+	16.6532i	0.482032	+	0.858821i
$377$	−2.56557	+	1.48123i	−0.132134	+	0.0762875i
$378$	−3.32093	−	2.81998i	−0.170810	−	0.145044i
$379$	−3.19404	−	1.84408i	−0.164067	−	0.0947239i	0.415718	−	0.909493i	$-0.363530\pi$
$379$	−3.19404	−	1.84408i	−0.164067	−	0.0947239i	−0.579785	+	0.814769i	$0.696864\pi$
$380$	22.5816	−	20.1608i	1.15841	−	1.03423i
$381$	−7.19910	−	31.3621i	−0.368821	−	1.60673i
$382$	−1.41654	+	0.847081i	−0.0724762	+	0.0433404i
$383$	−0.425098	−	7.29866i	−0.0217215	−	0.372944i	−0.991599	−	0.129351i	$-0.958711\pi$
$383$	−0.425098	−	7.29866i	−0.0217215	−	0.372944i	0.969877	−	0.243594i	$-0.0783263\pi$
$384$	14.4670	−	13.2176i	0.738268	−	0.674508i
$385$	3.04226	+	0.721030i	0.155048	+	0.0367471i
$386$	−2.55512	−	19.2887i	−0.130052	−	0.981770i
$387$	−3.56897	−	16.0681i	−0.181421	−	0.816786i
$388$	4.30572	+	4.29195i	0.218590	+	0.217891i
$389$	3.80316	+	7.57272i	0.192828	+	0.383952i	0.969182	−	0.246345i	$-0.0792295\pi$
$389$	3.80316	+	7.57272i	0.192828	+	0.383952i	−0.776354	+	0.630297i	$0.782933\pi$
$390$	5.97384	−	1.46813i	0.302497	−	0.0743417i
$391$	17.1321	−	7.39005i	0.866406	−	0.373731i
$392$	−5.17414	−	18.0790i	−0.261334	−	0.913126i
$393$	8.35041	−	18.9881i	0.421222	−	0.957822i
$394$	11.4145	+	11.7327i	0.575056	+	0.591084i
$395$	48.1089	+	17.5102i	2.42062	+	0.881034i
$396$	5.10386	−	9.18795i	0.256479	−	0.461712i
$397$	13.6923	−	4.98360i	0.687198	−	0.250119i	0.0252628	−	0.999681i	$-0.491958\pi$
$397$	13.6923	−	4.98360i	0.687198	−	0.250119i	0.661935	+	0.749561i	$0.269736\pi$
$398$	−5.72796	−	2.76746i	−0.287117	−	0.138720i
$399$	5.16278	+	0.0365099i	0.258462	+	0.00182778i
$400$	15.5842	+	4.61126i	0.779208	+	0.230563i
$401$	−3.22891	−	13.6239i	−0.161244	−	0.680343i	−0.992269	−	0.124107i	$-0.960393\pi$
$401$	−3.22891	−	13.6239i	−0.161244	−	0.680343i	0.831025	−	0.556236i	$-0.187755\pi$
$402$	2.83813	+	15.3520i	0.141553	+	0.765688i
$403$	0.196230	+	1.67885i	0.00977490	+	0.0836296i
$404$	−35.1021	+	3.12768i	−1.74639	+	0.155608i
$405$	−24.5650	−	11.4309i	−1.22065	−	0.568004i
$406$	−2.19686	−	2.00982i	−0.109029	−	0.0997457i
$407$	−8.82964	+	1.03204i	−0.437669	+	0.0511562i
$408$	22.0066	+	21.5762i	1.08949	+	1.06818i
$409$	2.55763	−	0.606171i	0.126467	−	0.0299732i	−0.166895	−	0.985975i	$-0.553374\pi$
$409$	2.55763	−	0.606171i	0.126467	−	0.0299732i	0.293362	+	0.956001i	$0.405226\pi$
$410$	−16.2376	−	42.5683i	−0.801916	−	2.10230i
$411$	22.3749	+	13.1300i	1.10367	+	0.647655i
$412$	−9.40942	−	23.5748i	−0.463569	−	1.16145i
$413$	−1.33814	−	3.67650i	−0.0658454	−	0.180909i
$414$	1.44578	−	12.4997i	0.0710562	−	0.614327i
$415$	−14.8123	+	40.6964i	−0.727107	+	1.99771i
$416$	−2.74731	+	3.83684i	−0.134698	+	0.188117i
$417$	−1.22720	−	11.1847i	−0.0600962	−	0.547720i
$418$	2.35080	+	12.2315i	0.114982	+	0.598260i
$419$	8.31868	+	19.2849i	0.406394	+	0.942127i	0.991372	+	0.131078i	$0.0418439\pi$
$419$	8.31868	+	19.2849i	0.406394	+	0.942127i	−0.584978	+	0.811049i	$0.698897\pi$
$420$	3.21701	+	5.27999i	0.156974	+	0.257637i
$421$	5.52651	−	2.77552i	0.269346	−	0.135271i	−0.309001	−	0.951062i	$-0.599995\pi$
$421$	5.52651	−	2.77552i	0.269346	−	0.135271i	0.578346	+	0.815791i	$0.303698\pi$
$422$	0.205174	−	4.78721i	0.00998771	−	0.233038i
$423$	0.891644	+	20.2357i	0.0433532	+	0.983895i
$424$	6.77469	+	30.2150i	0.329008	+	1.46737i
$425$	−5.89459	+	24.8712i	−0.285929	+	1.20643i
$426$	−5.59872	+	8.66780i	−0.271259	+	0.419956i
$427$	2.18907	−	0.127499i	0.105937	−	0.00617010i
$428$	−34.6664	−	7.10018i	−1.67567	−	0.343200i
$429$	−0.743046	+	2.41954i	−0.0358746	+	0.116816i
$430$	−2.35547	+	23.2398i	−0.113591	+	1.12072i
$431$	10.2270	−	17.7137i	0.492617	−	0.853238i	−0.507347	−	0.861742i	$-0.669374\pi$
$431$	10.2270	−	17.7137i	0.492617	−	0.853238i	0.999964	+	0.00850418i	$0.00270700\pi$
$432$	20.0156	−	5.60150i	0.963000	−	0.269502i
$433$	2.71475	+	4.70209i	0.130463	+	0.225968i	0.923855	−	0.382743i	$-0.125020\pi$
$433$	2.71475	+	4.70209i	0.130463	+	0.225968i	−0.793392	+	0.608711i	$0.791687\pi$
$434$	−1.54942	+	0.696743i	−0.0743744	+	0.0334448i
$435$	−16.4884	−	8.42731i	−0.790557	−	0.404058i
$436$	0.359168	−	0.404897i	0.0172010	−	0.0193911i
$437$	8.19402	+	12.4584i	0.391973	+	0.595966i
$438$	2.03524	+	16.2458i	0.0972474	+	0.776253i
$439$	14.2234	+	13.4191i	0.678844	+	0.640457i	0.946366	−	0.323095i	$-0.104723\pi$
$439$	14.2234	+	13.4191i	0.678844	+	0.640457i	−0.267522	+	0.963552i	$0.586205\pi$
$440$	−10.9729	+	10.1034i	−0.523112	+	0.481660i
$441$	3.74095	−	19.5915i	0.178141	−	0.932931i
$442$	−6.26263	−	3.98269i	−0.297883	−	0.189437i
$443$	−18.4887	−	12.1602i	−0.878424	−	0.577749i	0.0282403	−	0.999601i	$-0.491010\pi$
$443$	−18.4887	−	12.1602i	−0.878424	−	0.577749i	−0.906664	+	0.421853i	$0.861380\pi$
$444$	−13.7300	−	10.9789i	−0.651597	−	0.521035i
$445$	14.5355	+	1.69896i	0.689050	+	0.0805384i
$446$	2.25121	−	1.94863i	0.106598	−	0.0922703i
$447$	9.12254	−	37.3132i	0.431481	−	1.76485i
$448$	−4.50935	−	1.47023i	−0.213047	−	0.0694620i
$449$	−33.2317	+	5.85964i	−1.56830	+	0.276533i	−0.889202	−	0.457515i	$-0.848740\pi$
$449$	−33.2317	+	5.85964i	−1.56830	+	0.276533i	−0.679097	+	0.734049i	$0.737628\pi$
$450$	12.5526	+	11.8143i	0.591736	+	0.556931i
$451$	18.4608	+	3.25514i	0.869286	+	0.153279i
$452$	−8.25936	+	10.4801i	−0.388487	+	0.492943i
$453$	12.2773	+	34.4885i	0.576838	+	1.62041i
$454$	0.405337	+	0.0650754i	0.0190234	+	0.00305414i
$455$	−1.02176	−	1.08301i	−0.0479010	−	0.0507721i
$456$	−13.9277	+	20.3149i	−0.652226	+	0.951332i
$457$	−1.33769	+	3.10112i	−0.0625747	+	0.145064i	−0.946634	−	0.322310i	$-0.895541\pi$
$457$	−1.33769	+	3.10112i	−0.0625747	+	0.145064i	0.884060	+	0.467374i	$0.154800\pi$
$458$	−7.53100	+	34.0993i	−0.351901	+	1.59336i
$459$	10.5261	+	30.9476i	0.491314	+	1.44451i
$460$	−7.52089	+	16.1963i	−0.350663	+	0.755155i
$461$	−18.1781	+	13.5331i	−0.846636	+	0.630297i	−0.930546	−	0.366176i	$-0.880667\pi$
$461$	−18.1781	+	13.5331i	−0.846636	+	0.630297i	0.0839092	+	0.996473i	$0.473259\pi$
$462$	−2.54383	+	0.0210467i	−0.118350	+	0.000979181i
$463$	−18.1960	−	5.44753i	−0.845641	−	0.253168i	−0.165464	−	0.986216i	$-0.552912\pi$
$463$	−18.1960	−	5.44753i	−0.845641	−	0.253168i	−0.680177	+	0.733047i	$0.738097\pi$
$464$	13.8114	−	3.32012i	0.641180	−	0.154133i
$465$	−8.14128	+	6.73381i	−0.377543	+	0.312273i
$466$	−1.11274	+	0.756574i	−0.0515467	+	0.0350476i
$467$	16.3363	+	13.7078i	0.755954	+	0.634321i	0.937070	−	0.349141i	$-0.113526\pi$
$467$	16.3363	+	13.7078i	0.755954	+	0.634321i	−0.181116	+	0.983462i	$0.557971\pi$
$468$	−4.43509	+	2.32006i	−0.205012	+	0.107245i
$469$	2.89469	−	2.42893i	0.133664	−	0.112158i
$470$	7.82078	−	27.6612i	0.360746	−	1.27591i
$471$	0.640865	−	9.80786i	0.0295295	−	0.451922i
$472$	18.1085	+	4.52470i	0.833510	+	0.208266i
$473$	−7.70917	−	5.73926i	−0.354468	−	0.263892i
$474$	−41.4130	−	4.49351i	−1.90216	−	0.206394i
$475$	−20.3932	−	1.18777i	−0.935706	−	0.0544987i
$476$	1.91911	−	7.20835i	0.0879621	−	0.330394i
$477$	−8.02546	+	31.8479i	−0.367461	+	1.45822i
$478$	39.4999	+	16.3244i	1.80669	+	0.746659i
$479$	−3.67406	−	12.2722i	−0.167872	−	0.560732i	−0.999981	−	0.00612009i	$-0.998052\pi$
$479$	−3.67406	−	12.2722i	−0.167872	−	0.560732i	0.832109	−	0.554612i	$-0.187133\pi$
$480$	−29.4644	−	1.37704i	−1.34486	−	0.0628529i
$481$	3.78319	+	1.89999i	0.172499	+	0.0866320i
$482$	15.1419	+	8.43505i	0.689693	+	0.384206i
$483$	−2.80497	+	1.18649i	−0.127630	+	0.0539871i
$484$	3.23263	+	15.5300i	0.146938	+	0.705910i
$485$		−	9.15109i		−	0.415529i
$486$	21.6295	+	4.26184i	0.981136	+	0.193321i
$487$		−	6.21797i		−	0.281763i	−0.990026	−	0.140882i	$-0.955006\pi$
$487$		−	6.21797i		−	0.281763i	0.990026	−	0.140882i	$-0.0449937\pi$
$488$	−5.34019	+	8.99544i	−0.241739	+	0.407204i
$489$	−24.8224	+	10.4998i	−1.12251	+	0.474817i
$490$	−13.7751	+	24.7278i	−0.622295	+	1.11709i
$491$	29.0092	+	14.5690i	1.30917	+	0.657488i	0.960112	−	0.279615i	$-0.0902068\pi$
$491$	29.0092	+	14.5690i	1.30917	+	0.657488i	0.349054	+	0.937103i	$0.386503\pi$
$492$	21.0961	+	30.4819i	0.951085	+	1.37423i
$493$	6.40734	+	21.4020i	0.288572	+	0.963897i
$494$	2.26550	−	5.48180i	0.101929	−	0.246638i
$495$	−15.2187	+	4.32261i	−0.684028	+	0.194287i
$496$	1.38182	−	7.98615i	0.0620454	−	0.358589i
$497$	2.49331	+	0.145219i	0.111840	+	0.00651396i
$498$	3.80117	−	35.0323i	0.170334	−	1.56983i
$499$	−21.6774	−	16.1382i	−0.970412	−	0.722445i	−0.00968869	−	0.999953i	$-0.503084\pi$
$499$	−21.6774	−	16.1382i	−0.970412	−	0.722445i	−0.960723	+	0.277508i	$0.910491\pi$
$500$	2.68543	+	4.96140i	0.120096	+	0.221881i
$501$	−0.323477	+	4.95051i	−0.0144519	+	0.221173i
$502$	4.85773	+	1.37345i	0.216811	+	0.0613001i
$503$	−2.00022	+	1.67838i	−0.0891852	+	0.0748353i	−0.686290	−	0.727328i	$-0.740762\pi$
$503$	−2.00022	+	1.67838i	−0.0891852	+	0.0748353i	0.597105	+	0.802163i	$0.296318\pi$
$504$	−3.56719	−	3.54725i	−0.158895	−	0.158007i
$505$	40.6359	+	34.0976i	1.80828	+	1.51732i
$506$	−4.13116	−	6.07595i	−0.183652	−	0.270109i
$507$	−16.4219	+	13.5829i	−0.729321	+	0.603236i
$508$	−5.44390	−	36.7547i	−0.241534	−	1.63072i
$509$	25.8414	+	7.73640i	1.14540	+	0.342910i	0.802611	−	0.596503i	$-0.203443\pi$
$509$	25.8414	+	7.73640i	1.14540	+	0.342910i	0.342788	+	0.939413i	$0.388629\pi$
$510$	−0.383803	−	46.3888i	−0.0169951	−	2.05413i
$511$	3.17869	−	2.36645i	0.140617	−	0.104685i
$512$	17.8518	−	13.9037i	0.788946	−	0.614462i
$513$	−22.8968	+	12.5796i	−1.01092	+	0.555402i
$514$	−30.7487	−	6.79100i	−1.35627	−	0.299538i
$515$	−15.1334	+	35.0832i	−0.666857	+	1.54595i
$516$	−2.65166	−	18.8201i	−0.116733	−	0.828509i
$517$	8.11638	+	8.60286i	0.356958	+	0.378353i
$518$	−0.674486	+	4.20120i	−0.0296352	+	0.184590i
$519$	−10.2081	−	28.6760i	−0.448087	−	1.25873i
$520$	7.00980	−	1.14844i	0.307400	−	0.0503623i
$521$	−3.59167	−	0.633308i	−0.157354	−	0.0277457i	0.0944162	−	0.995533i	$-0.469902\pi$
$521$	−3.59167	−	0.633308i	−0.157354	−	0.0277457i	−0.251770	+	0.967787i	$0.581013\pi$
$522$	14.6646	+	3.45697i	0.641852	+	0.151307i
$523$	−31.3841	+	5.53387i	−1.37233	+	0.241979i	−0.810726	−	0.585425i	$-0.800928\pi$
$523$	−31.3841	+	5.53387i	−1.37233	+	0.241979i	−0.561606	+	0.827404i	$0.689816\pi$
$524$	11.3339	−	21.1008i	0.495123	−	0.921794i
$525$	0.990872	−	4.05288i	0.0432452	−	0.176882i
$526$	16.6887	+	19.2801i	0.727664	+	0.840654i
$527$	12.6605	+	1.47980i	0.551502	+	0.0644613i
$528$	6.70820	−	10.1139i	0.291937	−	0.440150i
$529$	11.8670	+	7.80508i	0.515958	+	0.339351i
$530$	25.0121	−	39.3306i	1.08646	−	1.70841i
$531$	14.9842	+	12.9388i	0.650260	+	0.561494i
$532$	5.93975	+	0.510078i	0.257521	+	0.0221147i
$533$	−6.49331	−	6.12612i	−0.281257	−	0.265352i
$534$	−11.8150	+	1.48016i	−0.511286	+	0.0640529i
$535$	29.2694	+	44.5019i	1.26543	+	1.92399i
$536$	1.87528	+	17.9295i	0.0809998	+	0.774438i
$537$	−28.9773	−	14.8105i	−1.25046	−	0.639118i
$538$	4.90903	+	10.9167i	0.211643	+	0.470652i
$539$	−5.82318	−	10.0861i	−0.250822	−	0.434437i
$540$	−27.2414	−	15.3855i	−1.17228	−	0.662087i
$541$	12.8840	−	22.3157i	0.553926	−	0.959428i	−0.444060	−	0.895997i	$-0.646462\pi$
$541$	12.8840	−	22.3157i	0.553926	−	0.959428i	0.997986	−	0.0634311i	$-0.0202043\pi$
$542$	14.5701	+	1.47675i	0.625837	+	0.0634318i
$543$	−2.76399	+	9.00023i	−0.118614	+	0.386237i
$544$	23.3765	+	26.8322i	1.00226	+	1.15042i
$545$	−0.813323	+	0.0473707i	−0.0348389	+	0.00202914i
$546$	1.01764	+	0.657317i	0.0435510	+	0.0281306i
$547$	7.30997	−	30.8432i	0.312552	−	1.31876i	−0.559290	−	0.828972i	$-0.688926\pi$
$547$	7.30997	−	30.8432i	0.312552	−	1.31876i	0.871842	−	0.489787i	$-0.162926\pi$
$548$	24.5662	+	17.1429i	1.04942	+	0.732308i
$549$	−9.35564	+	5.96548i	−0.399289	+	0.254600i
$550$	10.0562	+	0.430995i	0.428796	+	0.0183777i
$551$	−15.9555	+	8.01315i	−0.679726	+	0.341371i
$552$	2.79750	−	14.2578i	0.119069	−	0.606852i
$553$	3.99344	+	9.25783i	0.169818	+	0.393683i
$554$	10.4206	−	2.00277i	0.442728	−	0.0850893i
$555$	2.88609	+	26.3040i	0.122508	+	1.11654i
$556$	−0.398680	−	12.9864i	−0.0169078	−	0.550747i
$557$	−6.69738	+	18.4009i	−0.283777	+	0.779672i	0.713126	+	0.701036i	$0.247279\pi$
$557$	−6.69738	+	18.4009i	−0.283777	+	0.779672i	−0.996903	+	0.0786359i	$0.974944\pi$
$558$	5.12516	−	6.90158i	0.216965	−	0.292167i
$559$	1.56541	+	4.30092i	0.0662097	+	0.181910i
$560$	3.22454	+	6.36964i	0.136262	+	0.269167i
$561$	16.4621	+	9.66027i	0.695031	+	0.407857i
$562$	25.1387	−	9.58908i	1.06041	−	0.404491i
$563$	8.46253	−	2.00566i	0.356653	−	0.0845283i	−0.0483835	−	0.998829i	$-0.515407\pi$
$563$	8.46253	−	2.00566i	0.356653	−	0.0845283i	0.405036	+	0.914301i	$0.367259\pi$
$564$	−0.808139	+	23.3749i	−0.0340288	+	0.984261i
$565$	19.9494	−	2.33175i	0.839279	−	0.0980976i
$566$	5.92051	−	6.47149i	0.248857	−	0.272017i
$567$	−1.68243	−	5.06367i	−0.0706553	−	0.212654i
$568$	−7.23070	+	9.47025i	−0.303393	+	0.397363i
$569$	−1.87996	−	16.0841i	−0.0788119	−	0.674279i	−0.973675	−	0.227939i	$-0.926801\pi$
$569$	−1.87996	−	16.0841i	−0.0788119	−	0.674279i	0.894864	−	0.446340i	$-0.147273\pi$
$570$	36.4576	−	6.73992i	1.52704	−	0.282304i
$571$	−6.93832	−	29.2751i	−0.290360	−	1.22512i	−0.901212	−	0.433379i	$-0.857321\pi$
$571$	−6.93832	−	29.2751i	−0.290360	−	1.22512i	0.610852	−	0.791745i	$-0.290827\pi$
$572$	−1.07470	+	2.71786i	−0.0449354	+	0.113639i
$573$	−2.02138	−	0.0142947i	−0.0844443	−	0.000597169i
$574$	3.90330	−	8.07888i	0.162921	−	0.337206i
$575$	11.3236	−	4.12145i	0.472226	−	0.171876i
$576$	23.5485	−	4.63350i	0.981186	−	0.193062i
$577$	−20.3029	−	7.38967i	−0.845223	−	0.307636i	−0.117132	−	0.993116i	$-0.537370\pi$
$577$	−20.3029	−	7.38967i	−0.845223	−	0.307636i	−0.728091	+	0.685481i	$0.759592\pi$
$578$	−22.8841	+	22.2635i	−0.951851	+	0.926040i
$579$	9.59313	−	21.8139i	0.398677	−	0.906556i
$580$	−18.2164	−	11.1958i	−0.756393	−	0.464880i
$581$	−7.83141	+	3.37814i	−0.324902	+	0.140149i
$582$	1.77700	+	7.23065i	0.0736592	+	0.299720i
$583$	8.60692	+	17.1378i	0.356462	+	0.709774i
$584$	0.870017	+	18.8856i	0.0360015	+	0.781492i
$585$	7.18634	+	2.26268i	0.297119	+	0.0935502i
$586$	−36.7941	+	4.87401i	−1.51995	+	0.201343i
$587$	−37.2044	−	8.81760i	−1.53559	−	0.363941i	−0.626124	−	0.779723i	$-0.715360\pi$
$587$	−37.2044	−	8.81760i	−1.53559	−	0.363941i	−0.909464	+	0.415782i	$0.863508\pi$
$588$	6.08249	−	22.2134i	0.250838	−	0.916064i
$589$	0.592335	+	10.1700i	0.0244067	+	0.419047i
$590$	−14.4195	−	24.1131i	−0.593643	−	0.992722i
$591$	4.48531	+	19.5398i	0.184501	+	0.803759i
$592$	−14.8098	−	13.8829i	−0.608678	−	0.570585i
$593$	24.2143	+	13.9801i	0.994362	+	0.574095i	0.906575	−	0.422044i	$-0.138687\pi$
$593$	24.2143	+	13.9801i	0.994362	+	0.574095i	0.0877869	+	0.996139i	$0.472021\pi$
$594$	11.1855	−	6.37071i	0.458947	−	0.261394i
$595$	−9.72397	+	5.61413i	−0.398644	+	0.230157i
$596$	13.8840	−	42.1255i	0.568713	−	1.72553i
$597$	−4.23518	−	6.53955i	−0.173335	−	0.267646i
$598$	0.0536898	+	3.49856i	0.00219554	+	0.143067i
$599$	−21.9456	+	14.4338i	−0.896672	+	0.589751i	−0.912026	−	0.410131i	$-0.865483\pi$
$599$	−21.9456	+	14.4338i	−0.896672	+	0.589751i	0.0153541	+	0.999882i	$0.495112\pi$
$600$	13.3787	+	14.7379i	0.546183	+	0.601671i
$601$	32.5106	−	34.4593i	1.32614	−	1.40562i	0.475643	−	0.879638i	$-0.342215\pi$
$601$	32.5106	−	34.4593i	1.32614	−	1.40562i	0.850494	−	0.525985i	$-0.176303\pi$
$602$	−3.64733	+	2.80334i	−0.148654	+	0.114256i
$603$	−6.79319	+	17.8735i	−0.276640	+	0.727864i
$604$	11.0062	+	40.8140i	0.447835	+	1.66070i
$605$	13.1209	−	19.9494i	0.533441	−	0.811057i
$606$	−38.7294	−	19.0510i	−1.57327	−	0.773895i
$607$	2.10439	−	18.0042i	0.0854144	−	0.730767i	−0.880882	−	0.473336i	$-0.843050\pi$
$607$	2.10439	−	18.0042i	0.0854144	−	0.730767i	0.966297	−	0.257431i	$-0.0828761\pi$
$608$	−17.8744	+	22.1225i	−0.724904	+	0.897188i
$609$	−1.02115	−	3.50080i	−0.0413792	−	0.141860i
$610$	15.2646	−	3.86609i	0.618045	−	0.156533i
$611$	−0.978059	−	5.54685i	−0.0395680	−	0.224401i
$612$	9.31126	+	36.5791i	0.376385	+	1.47862i
$613$	1.50345	−	8.52650i	0.0607239	−	0.344382i	−0.939275	−	0.343164i	$-0.888501\pi$
$613$	1.50345	−	8.52650i	0.0607239	−	0.344382i	0.999999	−	0.00121791i	$-0.000387673\pi$
$614$	−1.21403	−	16.4826i	−0.0489943	−	0.665182i
$615$	10.0778	−	54.8818i	0.406377	−	2.21305i
$616$	−2.93020	−	0.206393i	−0.118061	−	0.00831579i
$617$	−1.59717	+	1.50685i	−0.0642995	+	0.0606635i	−0.717721	−	0.696331i	$-0.754815\pi$
$617$	−1.59717	+	1.50685i	−0.0642995	+	0.0606635i	0.653421	+	0.756995i	$0.273333\pi$
$618$	5.14490	−	30.6593i	0.206958	−	1.23330i
$619$	−44.9088	−	19.3718i	−1.80504	−	0.778617i	−0.975443	−	0.220252i	$-0.929312\pi$
$619$	−44.9088	−	19.3718i	−1.80504	−	0.778617i	−0.829595	−	0.558365i	$-0.811429\pi$
$620$	−9.98220	+	7.01346i	−0.400895	+	0.281667i
$621$	9.46298	−	12.1635i	0.379736	−	0.488106i
$622$	9.96647	−	3.15119i	0.399619	−	0.126351i
$623$	1.72104	+	2.31176i	0.0689521	+	0.0926187i
$624$	−5.31572	+	2.26863i	−0.212799	+	0.0908177i
$625$	8.26193	−	27.5968i	0.330477	−	1.10387i
$626$	21.0978	−	25.9416i	0.843237	−	1.03683i
$627$	−5.31861	+	14.2974i	−0.212405	+	0.570982i
$628$	1.62689	−	11.2321i	0.0649200	−	0.448209i
$629$	20.5214	−	24.4564i	0.818240	−	0.975140i
$630$	0.00910052	+	7.57239i	0.000362574	+	0.301691i
$631$	11.5459	+	13.7598i	0.459634	+	0.547771i	0.945227	−	0.326415i	$-0.105841\pi$
$631$	11.5459	+	13.7598i	0.459634	+	0.547771i	−0.485593	+	0.874185i	$0.661396\pi$
$632$	−47.2647	−	8.92709i	−1.88009	−	0.355101i
$633$	3.25938	−	4.88013i	0.129549	−	0.193968i
$634$	1.63885	+	0.568168i	0.0650870	+	0.0225648i
$635$	−33.3980	+	44.8613i	−1.32536	+	1.78027i
$636$	−12.1257	+	35.9337i	−0.480815	+	1.42486i
$637$	−0.322486	+	5.53687i	−0.0127774	+	0.219379i
$638$	7.80023	−	4.06848i	0.308814	−	0.161073i
$639$	−11.3727	+	5.51156i	−0.449896	+	0.218034i
$640$	−33.7927	−	4.25636i	−1.33578	−	0.168248i
$641$	−22.8965	+	6.85477i	−0.904359	+	0.270747i	−0.705023	−	0.709184i	$-0.749063\pi$
$641$	−22.8965	+	6.85477i	−0.904359	+	0.270747i	−0.199335	+	0.979931i	$0.563878\pi$
$642$	−31.7686	−	29.4791i	−1.25380	−	1.16345i
$643$	11.3556	−	22.6109i	0.447822	−	0.891688i	−0.550558	−	0.834797i	$-0.685585\pi$
$643$	11.3556	−	22.6109i	0.447822	−	0.891688i	0.998380	−	0.0568908i	$-0.0181187\pi$
$644$	−3.33646	+	1.11152i	−0.131475	+	0.0437999i
$645$	−17.2457	+	22.8262i	−0.679050	+	0.898783i
$646$	−36.2850	−	26.1575i	−1.42761	−	1.02915i
$647$	1.55451			0.0611140			0.0305570	−	0.999533i	$-0.490272\pi$
$647$	1.55451			0.0611140			0.0305570	+	0.999533i	$0.490272\pi$
$648$	24.5122	+	6.86686i	0.962929	+	0.269756i
$649$	11.5599			0.453766
$650$	−3.88833	−	2.80306i	−0.152513	−	0.109945i
$651$	−2.06485	−	0.256160i	−0.0809278	−	0.0100397i
$652$	−29.5259	+	9.83631i	−1.15632	+	0.385220i
$653$	0.617497	−	1.22954i	0.0241645	−	0.0481155i	−0.881226	−	0.472694i	$-0.843281\pi$
$653$	0.617497	−	1.22954i	0.0241645	−	0.0481155i	0.905391	+	0.424579i	$0.139578\pi$
$654$	0.633441	−	0.195365i	0.0247695	−	0.00763936i
$655$	−34.5390	+	10.3403i	−1.34955	+	0.404029i
$656$	21.5210	+	37.0013i	0.840255	+	1.44466i
$657$	−8.20198	+	18.2983i	−0.319990	+	0.713885i
$658$	5.01929	−	2.61799i	0.195672	−	0.102060i
$659$	1.30345	−	22.3793i	0.0507751	−	0.871774i	−0.872734	−	0.488197i	$-0.837655\pi$
$659$	1.30345	−	22.3793i	0.0507751	−	0.871774i	0.923509	−	0.383578i	$-0.125308\pi$
$660$	−17.9106	+	3.59621i	−0.697171	+	0.139982i
$661$	−14.0679	+	18.8964i	−0.547177	+	0.734986i	−0.986575	−	0.163306i	$-0.947784\pi$
$661$	−14.0679	+	18.8964i	−0.547177	+	0.734986i	0.439399	+	0.898292i	$0.355192\pi$
$662$	27.2209	+	9.43714i	1.05797	+	0.366785i
$663$	−4.02193	−	8.15155i	−0.156199	−	0.316580i
$664$	7.55164	−	39.9823i	0.293060	−	1.55161i
$665$	−5.76817	−	6.87423i	−0.223680	−	0.266571i
$666$	−7.38826	−	20.2234i	−0.286289	−	0.783642i
$667$	6.77009	−	8.06828i	0.262139	−	0.312405i
$668$	−0.821172	+	5.66939i	−0.0317721	+	0.219355i
$669$	3.59558	−	0.607814i	0.139013	−	0.0234994i
$670$	17.1214	−	21.0522i	0.661456	−	0.813318i
$671$	−1.85817	+	6.20671i	−0.0717338	+	0.239607i
$672$	−3.78473	−	4.40676i	−0.145999	−	0.169994i
$673$	−3.26050	−	4.37962i	−0.125683	−	0.168822i	0.734828	−	0.678254i	$-0.237263\pi$
$673$	−3.26050	−	4.37962i	−0.125683	−	0.168822i	−0.860511	+	0.509432i	$0.829856\pi$
$674$	29.3390	−	9.27637i	1.13009	−	0.357313i
$675$	5.62460	+	20.3490i	0.216491	+	0.783234i
$676$	−20.1352	+	14.1469i	−0.774431	+	0.544113i
$677$	−21.2577	−	9.16969i	−0.817001	−	0.352420i	−0.0537760	−	0.998553i	$-0.517126\pi$
$677$	−21.2577	−	9.16969i	−0.817001	−	0.352420i	−0.763225	+	0.646133i	$0.776385\pi$
$678$	−15.3101	+	5.71630i	−0.587980	+	0.219533i
$679$	1.31086	−	1.23673i	0.0503060	−	0.0474613i
$680$	3.76373	−	53.4346i	0.144332	−	2.04912i
$681$	0.382866	+	0.325904i	0.0146715	+	0.0124887i
$682$	−0.368719	−	5.00599i	−0.0141190	−	0.191689i
$683$	5.13201	−	29.1051i	0.196371	−	1.11367i	−0.714082	−	0.700062i	$-0.753156\pi$
$683$	5.13201	−	29.1051i	0.196371	−	1.11367i	0.910453	−	0.413612i	$-0.135733\pi$
$684$	−27.4978	+	12.4050i	−1.05141	+	0.474317i
$685$	−7.83005	−	44.4064i	−0.299171	−	1.69668i
$686$	−11.0933	+	2.80962i	−0.423544	+	0.107272i
$687$	−29.5694	+	30.9010i	−1.12814	+	1.17895i
$688$	−1.34622	−	21.9049i	−0.0513241	−	0.835116i
$689$	1.06026	−	9.07106i	0.0403925	−	0.345580i
$690$	−18.1726	+	12.1689i	−0.691819	+	0.463261i
$691$	−9.00579	+	13.6926i	−0.342597	+	0.520893i	−0.965154	−	0.261681i	$-0.915723\pi$
$691$	−9.00579	+	13.6926i	−0.342597	+	0.520893i	0.622558	+	0.782574i	$0.286094\pi$
$692$	−9.15123	−	33.9354i	−0.347877	−	1.29003i
$693$	−2.67593	−	1.59583i	−0.101650	−	0.0606206i
$694$	2.01919	−	1.55195i	0.0766476	−	0.0589113i
$695$	−13.4208	+	14.2252i	−0.509079	+	0.539592i
$696$	16.5676	+	5.30891i	0.627991	+	0.201234i
$697$	−56.2456	+	36.9933i	−2.13045	+	1.40122i
$698$	0.288167	+	18.7776i	0.0109073	+	0.710744i
$699$	−1.64584	+	0.0841859i	−0.0622516	+	0.00318420i
$700$	1.50806	−	4.57558i	0.0569992	−	0.172941i
$701$	27.5749	−	15.9204i	1.04149	−	0.601305i	0.121236	−	0.992624i	$-0.461314\pi$
$701$	27.5749	−	15.9204i	1.04149	−	0.601305i	0.920255	+	0.391319i	$0.127981\pi$
$702$	−6.11761	−	0.392354i	−0.230894	−	0.0148084i
$703$	22.0967	+	12.7575i	0.833391	+	0.481159i
$704$	8.63896	−	11.0343i	0.325593	−	0.415870i
$705$	25.7781	−	23.9781i	0.970858	−	0.903067i
$706$	9.77665	+	16.3491i	0.367949	+	0.615305i
$707$	0.607424	+	10.4291i	0.0228445	+	0.392225i
$708$	16.0759	+	16.2527i	0.604168	+	0.610815i
$709$	6.32371	+	1.49875i	0.237492	+	0.0562866i	0.347638	−	0.937629i	$-0.386984\pi$
$709$	6.32371	+	1.49875i	0.237492	+	0.0562866i	−0.110146	+	0.993915i	$0.535132\pi$
$710$	17.7797	−	2.35523i	0.667261	−	0.0883902i
$711$	−40.4878	−	31.0416i	−1.51841	−	1.16415i
$712$	−13.7349	+	0.632735i	−0.514737	+	0.0237128i
$713$	−2.69702	−	5.37021i	−0.101004	−	0.201116i
$714$	6.59313	−	6.32421i	0.246742	−	0.236678i
$715$	4.03947	−	1.74246i	0.151067	−	0.0651641i
$716$	−32.0141	−	19.6759i	−1.19642	−	0.735323i
$717$	30.9611	+	42.2079i	1.15626	+	1.57628i
$718$	0.206187	−	0.200596i	0.00769482	−	0.00748617i
$719$	12.6331	+	4.59807i	0.471134	+	0.171479i	0.566666	−	0.823947i	$-0.308233\pi$
$719$	12.6331	+	4.59807i	0.471134	+	0.171479i	−0.0955317	+	0.995426i	$0.530455\pi$
$720$	−29.9637	−	20.1805i	−1.11668	−	0.752082i
$721$	−7.07073	+	2.57354i	−0.263328	+	0.0958435i
$722$	3.86254	−	7.99452i	0.143749	−	0.297525i
$723$	10.4839	+	18.4588i	0.389899	+	0.686491i
$724$	−3.99768	+	10.1099i	−0.148573	+	0.375732i
$725$	3.32748	+	14.0397i	0.123580	+	0.521423i
$726$	−6.49350	+	18.3107i	−0.240996	+	0.679574i
$727$	−2.14721	−	18.3706i	−0.0796356	−	0.681326i	−0.972808	−	0.231612i	$-0.925600\pi$
$727$	−2.14721	−	18.3706i	−0.0796356	−	0.681326i	0.893173	−	0.449714i	$-0.148474\pi$
$728$	1.11185	+	0.848919i	0.0412080	+	0.0314630i
$729$	19.9284	+	18.2170i	0.738090	+	0.674702i
$730$	19.2088	−	20.9965i	0.710951	−	0.777115i
$731$	34.2822	−	4.00702i	1.26797	−	0.148205i
$732$	−11.3104	+	6.01891i	−0.418046	+	0.222465i
$733$	−5.08084	+	1.20418i	−0.187665	+	0.0444775i	−0.323374	−	0.946271i	$-0.604817\pi$
$733$	−5.08084	+	1.20418i	−0.187665	+	0.0444775i	0.135708	+	0.990749i	$0.456669\pi$
$734$	10.6208	−	4.05127i	0.392021	−	0.149535i
$735$	−30.1446	+	17.1209i	−1.11190	+	0.631515i
$736$	4.51289	−	16.1590i	0.166347	−	0.595630i
$737$	3.81861	+	10.4915i	0.140660	+	0.386461i
$738$	2.69432	+	45.3214i	0.0991795	+	1.66830i
$739$	9.17118	−	25.1976i	0.337367	−	0.926909i	−0.648771	−	0.760984i	$-0.724717\pi$
$739$	9.17118	−	25.1976i	0.337367	−	0.926909i	0.986138	−	0.165926i	$-0.0530612\pi$
$740$	0.937605	+	30.5411i	0.0344670	+	1.12271i
$741$	5.85761	−	4.29678i	0.215185	−	0.157846i
$742$	9.01422	−	1.73247i	0.330923	−	0.0636011i
$743$	−7.85584	−	18.2119i	−0.288203	−	0.668129i	0.711189	−	0.703001i	$-0.248157\pi$
$743$	−7.85584	−	18.2119i	−0.288203	−	0.668129i	−0.999392	+	0.0348717i	$0.988898\pi$
$744$	6.52544	−	7.48002i	0.239234	−	0.274231i
$745$	−59.6628	+	29.9638i	−2.18587	+	1.09779i
$746$	−19.6743	−	0.843215i	−0.720326	−	0.0308723i
$747$	26.2588	−	34.2496i	0.960761	−	1.25313i
$748$	18.0744	+	12.6127i	0.660864	+	0.461167i
$749$	−2.41909	+	10.2070i	−0.0883917	+	0.372954i
$750$	−0.344668	+	6.90085i	−0.0125855	+	0.251984i
$751$	18.3343	−	1.06785i	0.669028	−	0.0389665i	0.279731	−	0.960079i	$-0.409755\pi$
$751$	18.3343	−	1.06785i	0.669028	−	0.0389665i	0.389298	+	0.921112i	$0.372718\pi$
$752$	−3.04941	+	26.8344i	−0.111201	+	0.978551i
$753$	4.21093	+	4.52703i	0.153455	+	0.164974i
$754$	−4.16821	−	0.422470i	−0.151797	−	0.0153854i
$755$	31.8148	−	55.1048i	1.15786	−	2.00547i
$756$	−1.47764	−	5.98150i	−0.0537411	−	0.217545i
$757$	11.9732	+	20.7382i	0.435174	+	0.753743i	0.997310	−	0.0733018i	$-0.0233536\pi$
$757$	11.9732	+	20.7382i	0.435174	+	0.753743i	−0.562136	+	0.827045i	$0.690020\pi$
$758$	−2.13913	−	4.75701i	−0.0776969	−	0.172782i
$759$	−0.459684	−	8.98689i	−0.0166855	−	0.326203i
$760$	42.5786	−	4.45337i	1.54449	−	0.161541i
$761$	−9.29169	−	14.1273i	−0.336824	−	0.512115i	0.626871	−	0.779123i	$-0.284335\pi$
$761$	−9.29169	−	14.1273i	−0.336824	−	0.512115i	−0.963694	+	0.267008i	$0.913965\pi$
$762$	17.6778	−	41.9322i	0.640398	−	1.51904i
$763$	−0.116703	−	0.110103i	−0.00422492	−	0.00398600i
$764$	−2.32559	−	0.199710i	−0.0841368	−	0.00722527i
$765$	29.1012	−	48.7977i	1.05216	−	1.76428i
$766$	5.54835	−	8.72457i	0.200470	−	0.315231i
$767$	−4.59943	−	3.02509i	−0.166076	−	0.109230i
$768$	27.5276	−	3.19892i	0.993316	−	0.115431i
$769$	−7.48053	−	0.874349i	−0.269755	−	0.0315298i	−0.0198599	−	0.999803i	$-0.506322\pi$
$769$	−7.48053	−	0.874349i	−0.269755	−	0.0315298i	−0.249895	+	0.968273i	$0.580396\pi$
$770$	2.89379	+	3.34313i	0.104285	+	0.120478i
$771$	−27.8647	−	26.6639i	−1.00352	−	0.960277i
$772$	13.0206	−	24.2411i	0.468622	−	0.872456i
$773$	−21.1829	+	3.73512i	−0.761896	+	0.134343i	−0.541078	−	0.840972i	$-0.681984\pi$
$773$	−21.1829	+	3.73512i	−0.761896	+	0.134343i	−0.220818	+	0.975315i	$0.570873\pi$
$774$	9.19405	−	21.3848i	0.330473	−	0.768662i
$775$	8.10743	+	1.42956i	0.291227	+	0.0513513i
$776$	1.39005	+	8.48456i	0.0499000	+	0.304578i
$777$	−3.37789	+	3.96829i	−0.121181	+	0.142361i
$778$	−1.89969	+	11.8326i	−0.0681070	+	0.424221i
$779$	−36.9218	−	39.1348i	−1.32286	−	1.40215i
$780$	8.06733	+	3.25615i	0.288857	+	0.116589i
$781$	−2.92281	+	6.77583i	−0.104586	+	0.242458i
$782$	25.7655	+	5.69043i	0.921372	+	0.203489i
$783$	13.1504	+	12.9449i	0.469955	+	0.462612i
$784$	9.01561	−	25.0192i	0.321986	−	0.893543i
$785$	−13.7030	+	10.2015i	−0.489082	+	0.364108i
$786$	25.2828	−	14.8773i	0.901807	−	0.530655i
$787$	−1.54889	−	0.463708i	−0.0552121	−	0.0165294i	0.259078	−	0.965856i	$-0.416581\pi$
$787$	−1.54889	−	0.463708i	−0.0552121	−	0.0165294i	−0.314290	+	0.949327i	$0.601766\pi$
$788$	3.39176	+	22.8996i	0.120826	+	0.815764i
$789$	5.20553	+	30.7938i	0.185322	+	1.09629i
$790$	40.7094	+	59.8739i	1.44838	+	2.13022i
$791$	3.03009	+	2.54255i	0.107738	+	0.0904026i
$792$	13.4536	−	6.31949i	0.478053	−	0.224553i
$793$	2.36355	−	1.98325i	0.0839320	−	0.0704273i
$794$	19.8293	+	5.60643i	0.703714	+	0.198965i
$795$	51.1934	−	25.2585i	1.81564	−	0.895828i
$796$	−4.28241	−	7.91187i	−0.151786	−	0.280429i
$797$	13.3500	+	9.93870i	0.472881	+	0.352047i	0.807067	−	0.590460i	$-0.201054\pi$
$797$	13.3500	+	9.93870i	0.472881	+	0.352047i	−0.334186	+	0.942507i	$0.608461\pi$
$798$	5.89254	+	4.31153i	0.208594	+	0.152626i
$799$	−42.4032	−	2.46971i	−1.50012	−	0.0873719i
$800$	14.0646	+	18.1782i	0.497258	+	0.642696i
$801$	−13.3078	−	5.96504i	−0.470207	−	0.210764i
$802$	7.56278	−	18.2996i	0.267051	−	0.646181i
$803$	3.35812	+	11.2169i	0.118506	+	0.395836i
$804$	−9.44027	+	19.9589i	−0.332933	+	0.703897i
$805$	4.73048	+	2.37574i	0.166728	+	0.0837338i
$806$	−1.16330	+	2.08826i	−0.0409756	+	0.0735558i
$807$	−1.80482	+	14.5483i	−0.0635327	+	0.512123i
$808$	−42.8556	−	25.4415i	−1.50766	−	0.895028i
$809$		−	16.7895i		−	0.590287i	−0.955453	−	0.295144i	$-0.904632\pi$
$809$		−	16.7895i		−	0.590287i	0.955453	−	0.295144i	$-0.0953675\pi$
$810$	−18.7276	−	33.4288i	−0.658020	−	1.17457i
$811$		−	14.9113i		−	0.523607i	−0.965121	−	0.261804i	$-0.915683\pi$
$811$		−	14.9113i		−	0.523607i	0.965121	−	0.261804i	$-0.0843173\pi$
$812$	−0.858108	−	4.12248i	−0.0301137	−	0.144671i
$813$	14.3108	+	10.8121i	0.501902	+	0.379198i
$814$	−10.9829	−	6.11820i	−0.384949	−	0.214443i
$815$	41.8622	+	21.0240i	1.46637	+	0.736439i
$816$	7.40231	+	42.9517i	0.259133	+	1.50361i
$817$	7.91146	+	26.4261i	0.276787	+	0.924533i
$818$	3.43542	+	1.41978i	0.120117	+	0.0496413i
$819$	0.647083	+	1.33520i	0.0226109	+	0.0466558i
$820$	16.5765	−	62.2628i	0.578875	−	2.17431i
$821$	26.5713	+	1.54760i	0.927343	+	0.0540116i	0.515164	−	0.857091i	$-0.327731\pi$
$821$	26.5713	+	1.54760i	0.927343	+	0.0540116i	0.412179	+	0.911103i	$0.364768\pi$
$822$	14.8099	+	33.5669i	0.516555	+	1.17078i
$823$	25.7686	+	19.1840i	0.898236	+	0.668712i	0.943895	−	0.330245i	$-0.107131\pi$
$823$	25.7686	+	19.1840i	0.898236	+	0.668712i	−0.0456590	+	0.998957i	$0.514539\pi$
$824$	8.70201	−	34.8266i	0.303149	−	1.21324i
$825$	10.2513	+	6.84675i	0.356906	+	0.238373i
$826$	1.50537	−	5.32432i	0.0523786	−	0.185257i
$827$	−40.1088	+	33.6553i	−1.39472	+	1.17031i	−0.431332	+	0.902193i	$0.641956\pi$
$827$	−40.1088	+	33.6553i	−1.39472	+	1.17031i	−0.963387	+	0.268115i	$0.913599\pi$
$828$	11.9959	−	13.1440i	0.416886	−	0.456785i
$829$	−13.8872	−	11.6527i	−0.482321	−	0.404716i	0.368944	−	0.929452i	$-0.379720\pi$
$829$	−13.8872	−	11.6527i	−0.482321	−	0.404716i	−0.851265	+	0.524736i	$0.824164\pi$
$830$	−50.6488	+	34.4371i	−1.75804	+	1.19533i
$831$	12.1806	+	4.53119i	0.422541	+	0.157185i
$832$	−6.32479	+	2.12958i	−0.219273	+	0.0738300i
$833$	40.0682	+	11.9956i	1.38828	+	0.415624i
$834$	7.84199	−	13.8460i	0.271546	−	0.479449i
$835$	6.91659	−	5.14921i	0.239359	−	0.178196i
$836$	−7.41863	+	15.9760i	−0.256579	+	0.552543i
$837$	9.75369	−	3.96410i	0.337137	−	0.137019i
$838$	−6.40549	+	29.0032i	−0.221274	+	1.00190i
$839$	−0.653165	+	1.51421i	−0.0225498	+	0.0522762i	−0.929119	−	0.369781i	$-0.879433\pi$
$839$	−0.653165	+	1.51421i	−0.0225498	+	0.0522762i	0.906569	+	0.422057i	$0.138692\pi$
$840$	−0.676027	+	8.71768i	−0.0233251	+	0.300789i
$841$	−11.2467	−	11.9208i	−0.387817	−	0.411062i
$842$	8.63537	+	1.38638i	0.297595	+	0.0477777i
$843$	32.4104	+	5.95146i	1.11627	+	0.204979i
$844$	4.19442	−	5.32220i	0.144378	−	0.183198i
$845$	36.4785	+	6.43215i	1.25490	+	0.221273i
$846$	−15.7121	+	23.9518i	−0.540194	+	0.823479i
$847$	4.63089	−	0.816552i	0.159119	−	0.0280570i
$848$	−17.2160	+	40.2653i	−0.591201	+	1.38272i
$849$	10.3126	−	3.00810i	0.353928	−	0.103238i
$850$	−27.3309	+	23.6574i	−0.937441	+	0.811441i
$851$	−14.9495	−	1.74734i	−0.512461	−	0.0598981i
$852$	−13.5912	+	5.31352i	−0.465625	+	0.182038i
$853$	−45.1838	−	29.7178i	−1.54706	−	1.01752i	−0.981194	−	0.193023i	$-0.938171\pi$
$853$	−45.1838	−	29.7178i	−1.54706	−	1.01752i	−0.565868	−	0.824496i	$-0.691459\pi$
$854$	2.61674	+	1.66410i	0.0895430	+	0.0569444i
$855$	42.4455	+	16.1323i	1.45161	+	0.551713i
$856$	−33.8974	−	36.8146i	−1.15859	−	1.25830i
$857$	21.6516	+	20.4272i	0.739603	+	0.697779i	0.960736	−	0.277464i	$-0.0894940\pi$
$857$	21.6516	+	20.4272i	0.739603	+	0.697779i	−0.221133	+	0.975244i	$0.570976\pi$
$858$	−2.85339	+	2.16119i	−0.0974131	+	0.0737818i
$859$	11.2562	+	17.1142i	0.384056	+	0.583929i	0.974841	−	0.222900i	$-0.0715523\pi$
$859$	11.2562	+	17.1142i	0.384056	+	0.583929i	−0.590785	+	0.806829i	$0.701182\pi$
$860$	−21.9216	+	24.7126i	−0.747520	+	0.842694i
$861$	9.22357	−	5.97343i	0.314338	−	0.203574i
$862$	26.3817	−	11.8633i	0.898563	−	0.404067i
$863$	3.49005	+	6.04494i	0.118803	+	0.205772i	0.919293	−	0.393573i	$-0.128761\pi$
$863$	3.49005	+	6.04494i	0.118803	+	0.205772i	−0.800491	+	0.599345i	$0.795428\pi$
$864$	27.5943	+	10.1269i	0.938777	+	0.344525i
$865$	−26.4528	+	45.8177i	−0.899424	+	1.55785i
$866$	−0.774287	+	7.63935i	−0.0263114	+	0.259596i
$867$	−38.1114	+	8.74840i	−1.29433	+	0.297111i
$868$	−2.35370	−	0.482071i	−0.0798897	−	0.0163626i
$869$	−29.7396	+	1.73213i	−1.00885	+	0.0587585i
$870$	−11.9460	−	23.3037i	−0.405008	−	0.790071i
$871$	1.22617	−	5.17363i	0.0415473	−	0.175302i
$872$	0.746889	−	0.167464i	0.0252928	−	0.00567106i
$873$	−2.73871	+	8.69825i	−0.0926914	+	0.294391i
$874$	−0.902981	+	21.0688i	−0.0305438	+	0.712661i
$875$	1.49447	−	0.750553i	0.0505224	−	0.0253733i
$876$	−11.1005	+	20.3203i	−0.375051	+	0.686558i
$877$	6.89943	+	15.9947i	0.232977	+	0.540101i	0.994095	−	0.108512i	$-0.0346085\pi$
$877$	6.89943	+	15.9947i	0.232977	+	0.540101i	−0.761118	+	0.648613i	$0.775349\pi$
$878$	5.21941	+	27.1571i	0.176147	+	0.916508i
$879$	−41.6110	−	18.2993i	−1.40350	−	0.617221i
$880$	−20.9436	+	2.51597i	−0.706009	+	0.0848135i
$881$	−17.2323	+	47.3453i	−0.580570	+	1.59510i	0.206639	+	0.978417i	$0.433748\pi$
$881$	−17.2323	+	47.3453i	−0.580570	+	1.59510i	−0.787209	+	0.616686i	$0.788475\pi$
$882$	20.4939	−	19.3816i	0.690066	−	0.652613i
$883$	3.33221	+	9.15517i	0.112138	+	0.308096i	0.983049	−	0.183345i	$-0.0586925\pi$
$883$	3.33221	+	9.15517i	0.112138	+	0.308096i	−0.870911	+	0.491441i	$0.836470\pi$
$884$	−3.89078	−	9.74816i	−0.130861	−	0.327866i
$885$	0.243333	−	34.4092i	0.00817954	−	1.15665i
$886$	−11.1537	−	29.2404i	−0.374715	−	0.982350i
$887$	−5.43923	+	1.28912i	−0.182631	+	0.0432844i	−0.320914	−	0.947108i	$-0.603990\pi$
$887$	−5.43923	+	1.28912i	−0.182631	+	0.0432844i	0.138282	+	0.990393i	$0.455842\pi$
$888$	−6.67147	−	23.9497i	−0.223880	−	0.803700i
$889$	−10.9398	+	1.27868i	−0.366909	+	0.0428855i
$890$	15.2701	+	13.9700i	0.511854	+	0.468275i
$891$	15.7592	+	0.445893i	0.527955	+	0.0149380i
$892$	4.19411	−	0.373706i	0.140429	−	0.0125126i
$893$	−3.94092	−	33.7167i	−0.131878	−	1.12829i
$894$	41.3235	−	35.2612i	1.38206	−	1.17931i
$895$	13.0443	+	55.0381i	0.436022	+	1.83972i
$896$	−3.95723	−	5.41590i	−0.132202	−	0.180932i
$897$	−2.16886	+	3.69597i	−0.0724162	+	0.123405i
$898$	−42.9693	−	20.7605i	−1.43390	−	0.692788i
$899$	6.76156	−	2.46101i	0.225511	−	0.0820792i
$900$	4.62987	+	23.9344i	0.154329	+	0.797814i
$901$	−64.7188	−	23.5557i	−2.15609	−	0.784754i
$902$	18.4862	+	19.0015i	0.615523	+	0.632679i
$903$	−5.60045	+	0.614486i	−0.186371	+	0.0204488i
$904$	−18.1422	+	5.19224i	−0.603401	+	0.172691i
$905$	15.0261	−	6.48161i	0.499483	−	0.215456i
$906$	−14.4376	+	49.7186i	−0.479659	+	1.65179i
$907$	14.8914	+	29.6513i	0.494461	+	0.984554i	0.993048	+	0.117714i	$0.0375565\pi$
$907$	14.8914	+	29.6513i	0.494461	+	0.984554i	−0.498586	+	0.866840i	$0.666147\pi$
$908$	0.411185	+	0.409870i	0.0136456	+	0.0136020i
$909$	−28.4205	−	44.5717i	−0.942647	−	1.47835i
$910$	−0.276515	−	2.08743i	−0.00916639	−	0.0691975i
$911$	53.0893	+	12.5824i	1.75893	+	0.416874i	0.978144	−	0.207928i	$-0.0666719\pi$
$911$	53.0893	+	12.5824i	1.75893	+	0.416874i	0.780784	+	0.624801i	$0.214820\pi$
$912$	−32.7784	+	11.7869i	−1.08540	+	0.390304i
$913$	−1.46525	−	25.1574i	−0.0484927	−	0.832588i
$914$	−4.09924	+	2.45133i	−0.135591	+	0.0810826i
$915$	18.4357	+	5.66166i	0.609467	+	0.187169i
$916$	−36.8398	+	32.8905i	−1.21722	+	1.08673i
$917$	−6.14900	−	3.55013i	−0.203058	−	0.117236i
$918$	−13.5183	+	44.2081i	−0.446170	+	1.45908i
$919$	18.3417	−	10.5896i	0.605037	−	0.349318i	−0.165983	−	0.986129i	$-0.553080\pi$
$919$	18.3417	−	10.5896i	0.605037	−	0.349318i	0.771021	+	0.636810i	$0.219746\pi$
$920$	−22.0223	+	12.3605i	−0.726055	+	0.407515i
$921$	9.21210	−	18.0239i	0.303549	−	0.593907i
$922$	−32.0457	+	0.491782i	−1.05537	+	0.0161960i
$923$	2.93608	−	1.93109i	0.0966421	−	0.0635625i
$924$	−2.93569	−	2.07961i	−0.0965770	−	0.0684143i
$925$	14.1497	−	14.9979i	0.465241	−	0.493126i
$926$	−16.3693	−	21.2976i	−0.537929	−	0.699882i
$927$	24.8841	−	28.8180i	0.817302	−	0.946508i
$928$	18.5902	+	7.61327i	0.610254	+	0.249918i
$929$	18.9742	−	28.8489i	0.622524	−	0.946502i	−0.377268	−	0.926104i	$-0.623136\pi$
$929$	18.9742	−	28.8489i	0.622524	−	0.946502i	0.999792	−	0.0203978i	$-0.00649326\pi$
$930$	−14.9086	+	0.992150i	−0.488871	+	0.0325339i
$931$	−3.88063	+	33.2009i	−0.127183	+	1.08812i
$932$	−1.90222	−	0.0523006i	−0.0623094	−	0.00171316i
$933$	12.4357	+	3.04036i	0.407127	+	0.0995369i
$934$	7.40459	+	29.2358i	0.242286	+	0.956623i
$935$	−5.76088	−	32.6716i	−0.188401	−	1.06847i
$936$	−7.00663	−	1.00627i	−0.229019	−	0.0328908i
$937$	5.18127	−	29.3844i	0.169265	−	0.959948i	−0.775293	−	0.631602i	$-0.782398\pi$
$937$	5.18127	−	29.3844i	0.169265	−	0.959948i	0.944558	−	0.328346i	$-0.106491\pi$
$938$	5.32952	−	0.392548i	0.174015	−	0.0128171i
$939$	38.5810	−	13.7342i	1.25904	−	0.448197i
$940$	31.8479	−	25.2650i	1.03876	−	0.824054i
$941$	29.0514	−	27.4086i	0.947049	−	0.893494i	−0.0473831	−	0.998877i	$-0.515088\pi$
$941$	29.0514	−	27.4086i	0.947049	−	0.893494i	0.994432	+	0.105382i	$0.0336067\pi$
$942$	8.84634	−	10.7216i	0.288229	−	0.349327i
$943$	29.1425	+	12.5709i	0.949011	+	0.409363i
$944$	17.0321	+	20.1665i	0.554347	+	0.656364i
$945$	−4.80647	+	7.93157i	−0.156354	+	0.258014i
$946$	−4.09755	−	12.9596i	−0.133223	−	0.421353i
$947$	2.20188	+	2.95764i	0.0715515	+	0.0961103i	0.836458	−	0.548031i	$-0.184622\pi$
$947$	2.20188	+	2.95764i	0.0715515	+	0.0961103i	−0.764907	+	0.644141i	$0.777215\pi$
$948$	−43.7928	−	39.4037i	−1.42233	−	1.27977i
$949$	1.59921	−	5.34174i	0.0519126	−	0.173400i
$950$	−22.4128	−	18.2279i	−0.727167	−	0.591391i
$951$	1.35398	+	1.63698i	0.0439058	+	0.0530827i
$952$	8.16293	−	6.68230i	0.264562	−	0.216575i
$953$	−16.3502	+	19.4854i	−0.529634	+	0.631193i	−0.962830	−	0.270107i	$-0.912941\pi$
$953$	−16.3502	+	19.4854i	−0.529634	+	0.631193i	0.433197	+	0.901299i	$0.357385\pi$
$954$	−35.5452	+	29.8988i	−1.15082	+	0.968009i
$955$	2.25840	+	2.69146i	0.0730803	+	0.0870937i
$956$	31.8140	+	51.3939i	1.02894	+	1.66220i
$957$	10.7518	+	0.702543i	0.347555	+	0.0227100i
$958$	5.93430	−	17.1171i	0.191728	−	0.553030i
$959$	5.30284	−	7.12295i	0.171238	−	0.230012i
$960$	−32.6627	−	25.9469i	−1.05419	−	0.837434i
$961$	−1.56378	+	26.8490i	−0.0504444	+	0.866097i
$962$	2.76877	+	5.30838i	0.0892687	+	0.171149i
$963$	−14.5026	−	51.0594i	−0.467339	−	1.64537i
$964$	10.3949	+	22.1991i	0.334797	+	0.714984i
$965$	−39.6792	+	11.8792i	−1.27732	+	0.382404i
$966$	−4.19908	−	0.958580i	−0.135103	−	0.0308418i
$967$	−12.8309	+	25.5485i	−0.412615	+	0.821585i	0.587310	+	0.809362i	$0.300187\pi$
$967$	−12.8309	+	25.5485i	−0.412615	+	0.821585i	−0.999925	+	0.0122226i	$0.996109\pi$
$968$	−9.13492	+	20.4894i	−0.293608	+	0.658555i
$969$	−21.3423	−	50.4552i	−0.685615	−	1.62085i
$970$	7.56798	−	10.4981i	0.242993	−	0.337074i
$971$	−51.1449			−1.64132			−0.820659	−	0.571418i	$-0.806393\pi$
$971$	−51.1449			−1.64132			−0.820659	+	0.571418i	$0.806393\pi$
$972$	21.2888	+	22.7769i	0.682839	+	0.730569i
$973$	−3.85146			−0.123472
$974$	5.14229	−	7.13325i	0.164770	−	0.228564i
$975$	−2.28706	−	5.40682i	−0.0732446	−	0.173157i
$976$	−13.5655	+	5.90319i	−0.434222	+	0.188957i
$977$	−2.58476	+	5.14668i	−0.0826938	+	0.164657i	−0.931179	−	0.364562i	$-0.881219\pi$
$977$	−2.58476	+	5.14668i	−0.0826938	+	0.164657i	0.848485	+	0.529219i	$0.177515\pi$
$978$	−37.1596	−	8.48291i	−1.18823	−	0.271254i
$979$	−8.15771	+	2.44226i	−0.260722	+	0.0780549i
$980$	−36.2528	+	16.9757i	−1.15805	+	0.542268i
$981$	0.787253	+	0.198382i	0.0251351	+	0.00633387i
$982$	21.2307	+	40.7042i	0.677499	+	1.29892i
$983$	0.0687360	−	1.18015i	0.00219234	−	0.0376410i	−0.997035	−	0.0769550i	$-0.975480\pi$
$983$	0.0687360	−	1.18015i	0.00219234	−	0.0376410i	0.999227	+	0.0393140i	$0.0125173\pi$
$984$	−1.00724	+	52.4153i	−0.0321095	+	1.67094i
$985$	20.8083	−	27.9503i	0.663006	−	0.890572i
$986$	−10.3490	+	29.8512i	−0.329581	+	0.950657i
$987$	6.91855	+	0.452072i	0.220220	+	0.0143896i
$988$	7.13244	−	4.41514i	0.226913	−	0.140464i
$989$	−10.4596	−	12.4653i	−0.332597	−	0.396374i
$990$	−21.0337	−	7.62701i	−0.668493	−	0.242402i
$991$	−15.5875	+	18.5765i	−0.495154	+	0.590101i	−0.954520	−	0.298145i	$-0.903632\pi$
$991$	−15.5875	+	18.5765i	−0.495154	+	0.590101i	0.459367	+	0.888247i	$0.348076\pi$
$992$	8.18980	−	8.01893i	0.260026	−	0.254601i
$993$	22.4893	+	27.1898i	0.713675	+	0.862844i
$994$	2.74023	+	2.22857i	0.0869147	+	0.0706861i
$995$	−3.88386	+	12.9730i	−0.123126	+	0.411271i
$996$	33.3325	−	37.0454i	1.05618	−	1.17383i
$997$	−28.9512	−	38.8882i	−0.916894	−	1.23160i	−0.972442	−	0.233146i	$-0.925098\pi$
$997$	−28.9512	−	38.8882i	−0.916894	−	1.23160i	0.0555480	−	0.998456i	$-0.482309\pi$
$998$	−11.5219	−	36.4410i	−0.364719	−	1.15352i
$999$	5.12891	−	25.8661i	0.162271	−	0.818367i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	324.2.p.a.263.41	yes	936
3.2	odd	2		972.2.p.a.467.12		936
4.3	odd	2	inner	324.2.p.a.263.14	yes	936
12.11	even	2		972.2.p.a.467.39		936
81.4	even	27		972.2.p.a.179.39		936
81.77	odd	54	inner	324.2.p.a.239.14	✓	936
324.239	even	54	inner	324.2.p.a.239.41	yes	936
324.247	odd	54		972.2.p.a.179.12		936

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
324.2.p.a.239.14	✓	936	81.77	odd	54	inner
324.2.p.a.239.41	yes	936	324.239	even	54	inner
324.2.p.a.263.14	yes	936	4.3	odd	2	inner
324.2.p.a.263.41	yes	936	1.1	even	1	trivial
972.2.p.a.179.12		936	324.247	odd	54
972.2.p.a.179.39		936	81.4	even	27
972.2.p.a.467.12		936	3.2	odd	2
972.2.p.a.467.39		936	12.11	even	2

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:	\( N \)	\(=\)	\( 324 = 2^{2} \cdot 3^{4} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	324.p (of order \(54\), degree \(18\), minimal)

\(f(q)\)	\(=\)	\(q+(1.14720 + 0.827004i) q^{2} +(0.674767 + 1.59521i) q^{3} +(0.632129 + 1.89748i) q^{4} +(1.35110 - 2.69027i) q^{5} +(-0.545153 + 2.38806i) q^{6} +(0.567965 - 0.170038i) q^{7} +(-0.844043 + 2.69955i) q^{8} +(-2.08938 + 2.15279i) q^{9} +O(q^{10})\)	\(q+(1.14720 + 0.827004i) q^{2} +(0.674767 + 1.59521i) q^{3} +(0.632129 + 1.89748i) q^{4} +(1.35110 - 2.69027i) q^{5} +(-0.545153 + 2.38806i) q^{6} +(0.567965 - 0.170038i) q^{7} +(-0.844043 + 2.69955i) q^{8} +(-2.08938 + 2.15279i) q^{9} +(3.77485 - 1.96890i) q^{10} +(-0.101854 + 1.74876i) q^{11} +(-2.60033 + 2.28873i) q^{12} +(0.498156 - 0.669140i) q^{13} +(0.792191 + 0.274643i) q^{14} +(5.20322 + 0.339989i) q^{15} +(-3.20083 + 2.39890i) q^{16} +(-4.04374 - 4.81914i) q^{17} +(-4.17730 + 0.741748i) q^{18} +(3.23177 - 3.85147i) q^{19} +(5.95879 + 0.863090i) q^{20} +(0.654489 + 0.791287i) q^{21} +(-1.56308 + 1.92195i) q^{22} +(-0.850616 + 2.84125i) q^{23} +(-4.87588 + 0.475145i) q^{24} +(-2.42627 - 3.25904i) q^{25} +(1.12487 - 0.355659i) q^{26} +(-4.84399 - 1.88037i) q^{27} +(0.681669 + 0.970214i) q^{28} +(-3.26079 - 1.40657i) q^{29} +(5.68795 + 4.69312i) q^{30} +(-1.47381 + 1.39047i) q^{31} +(-5.65588 + 0.104915i) q^{32} +(-2.85837 + 1.01753i) q^{33} +(-0.653523 - 8.87270i) q^{34} +(0.309933 - 1.75772i) q^{35} +(-5.40562 - 2.60371i) q^{36} +(0.881238 + 4.99775i) q^{37} +(6.89267 - 1.74572i) q^{38} +(1.40356 + 0.343150i) q^{39} +(6.12213 + 5.91808i) q^{40} +(1.24233 - 10.6288i) q^{41} +(0.0964315 + 1.44903i) q^{42} +(-3.01491 + 4.58395i) q^{43} +(-3.38262 + 0.912179i) q^{44} +(2.96860 + 8.52963i) q^{45} +(-3.32555 + 2.55602i) q^{46} +(4.63336 - 4.91107i) q^{47} +(-5.98655 - 3.48729i) q^{48} +(-5.55474 + 3.65341i) q^{49} +(-0.0881688 - 5.74530i) q^{50} +(4.95895 - 9.70240i) q^{51} +(1.58458 + 0.522257i) q^{52} +(9.48112 - 5.47392i) q^{53} +(-4.00194 - 6.16315i) q^{54} +(4.56703 + 2.63677i) q^{55} +(-0.0203611 + 1.67677i) q^{56} +(8.32460 + 2.55650i) q^{57} +(-2.57754 - 4.31030i) q^{58} +(-0.383706 - 6.58798i) q^{59} +(2.64398 + 10.0879i) q^{60} +(3.59888 + 0.852950i) q^{61} +(-2.84067 + 0.376295i) q^{62} +(-0.820641 + 1.57798i) q^{63} +(-6.57518 - 4.55708i) q^{64} +(-1.12711 - 2.24425i) q^{65} +(-4.12062 - 1.19658i) q^{66} +(5.85237 - 2.52446i) q^{67} +(6.58804 - 10.7192i) q^{68} +(-5.10636 + 0.560274i) q^{69} +(1.80919 - 1.76013i) q^{70} +(3.95856 + 1.44080i) q^{71} +(-4.04804 - 7.45744i) q^{72} +(6.28105 - 2.28611i) q^{73} +(-3.12220 + 6.46220i) q^{74} +(3.56169 - 6.06949i) q^{75} +(9.35097 + 3.69758i) q^{76} +(0.239506 + 1.01056i) q^{77} +(1.32637 + 1.55441i) q^{78} +(1.97428 + 16.8910i) q^{79} +(2.12903 + 11.8522i) q^{80} +(-0.268980 - 8.99598i) q^{81} +(10.2153 - 11.1660i) q^{82} +(-14.2885 + 1.67009i) q^{83} +(-1.08773 + 1.74207i) q^{84} +(-18.4283 + 4.36758i) q^{85} +(-7.24965 + 2.76536i) q^{86} +(0.0434965 - 6.15074i) q^{87} +(-4.63491 - 1.75099i) q^{88} +(1.66262 + 4.56801i) q^{89} +(-3.64846 + 12.2402i) q^{90} +(0.169156 - 0.464754i) q^{91} +(-5.92891 + 0.182016i) q^{92} +(-3.21256 - 1.41279i) q^{93} +(9.37686 - 1.80217i) q^{94} +(-5.99504 - 13.8981i) q^{95} +(-3.98376 - 8.95152i) q^{96} +(2.71641 - 1.36423i) q^{97} +(-9.39378 - 0.402606i) q^{98} +(-3.55190 - 3.87310i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 936 q - 18 q^{2} - 18 q^{4} - 36 q^{5} - 18 q^{6} - 18 q^{8} - 36 q^{9}+O(q^{10}) \) 936 * q - 18 * q^2 - 18 * q^4 - 36 * q^5 - 18 * q^6 - 18 * q^8 - 36 * q^9	\( 936 q - 18 q^{2} - 18 q^{4} - 36 q^{5} - 18 q^{6} - 18 q^{8} - 36 q^{9} - 18 q^{10} - 18 q^{12} - 36 q^{13} - 18 q^{14} - 18 q^{16} - 36 q^{17} - 18 q^{18} - 18 q^{20} - 36 q^{21} - 18 q^{22} - 18 q^{24} - 36 q^{25} - 27 q^{26} - 9 q^{28} - 36 q^{29} - 18 q^{30} - 18 q^{32} - 36 q^{33} - 18 q^{34} - 18 q^{36} - 36 q^{37} - 18 q^{38} - 18 q^{40} - 36 q^{41} - 63 q^{42} - 90 q^{44} - 36 q^{45} - 18 q^{46} - 117 q^{48} - 36 q^{49} - 135 q^{50} - 18 q^{52} - 54 q^{53} - 144 q^{54} - 144 q^{56} - 36 q^{57} - 18 q^{58} - 135 q^{60} - 36 q^{61} - 117 q^{62} - 18 q^{64} - 36 q^{65} - 90 q^{66} - 63 q^{68} - 36 q^{69} - 18 q^{70} - 18 q^{72} - 36 q^{73} - 18 q^{74} - 18 q^{76} - 36 q^{77} + 9 q^{78} - 36 q^{81} - 36 q^{82} - 45 q^{84} - 36 q^{85} - 18 q^{86} - 18 q^{88} - 54 q^{89} + 45 q^{90} + 72 q^{92} - 144 q^{93} - 18 q^{94} + 99 q^{96} - 36 q^{97} + 153 q^{98}+O(q^{100}) \) 936 * q - 18 * q^2 - 18 * q^4 - 36 * q^5 - 18 * q^6 - 18 * q^8 - 36 * q^9 - 18 * q^10 - 18 * q^12 - 36 * q^13 - 18 * q^14 - 18 * q^16 - 36 * q^17 - 18 * q^18 - 18 * q^20 - 36 * q^21 - 18 * q^22 - 18 * q^24 - 36 * q^25 - 27 * q^26 - 9 * q^28 - 36 * q^29 - 18 * q^30 - 18 * q^32 - 36 * q^33 - 18 * q^34 - 18 * q^36 - 36 * q^37 - 18 * q^38 - 18 * q^40 - 36 * q^41 - 63 * q^42 - 90 * q^44 - 36 * q^45 - 18 * q^46 - 117 * q^48 - 36 * q^49 - 135 * q^50 - 18 * q^52 - 54 * q^53 - 144 * q^54 - 144 * q^56 - 36 * q^57 - 18 * q^58 - 135 * q^60 - 36 * q^61 - 117 * q^62 - 18 * q^64 - 36 * q^65 - 90 * q^66 - 63 * q^68 - 36 * q^69 - 18 * q^70 - 18 * q^72 - 36 * q^73 - 18 * q^74 - 18 * q^76 - 36 * q^77 + 9 * q^78 - 36 * q^81 - 36 * q^82 - 45 * q^84 - 36 * q^85 - 18 * q^86 - 18 * q^88 - 54 * q^89 + 45 * q^90 + 72 * q^92 - 144 * q^93 - 18 * q^94 + 99 * q^96 - 36 * q^97 + 153 * q^98

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