LMFDB - Embedded newform 930.2.bo.b.179.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(179,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 15, 13]))

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

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

chi := DirichletCharacter("930.179");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bo (of order $30$, degree $8$, 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:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$256$
Relative dimension:	$32$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			179.14
Character	$\chi$	$=$	930.179
Dual form			930.2.bo.b.239.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.309017 - 0.951057i) q^{2} +(-0.518984 - 1.65247i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.18990 + 0.452039i) q^{5} +(-1.41122 + 1.00422i) q^{6} +(0.478693 - 1.07516i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-2.46131 + 1.71521i) q^{9} +O(q^{10})$	\(q+(-0.309017 - 0.951057i) q^{2} +(-0.518984 - 1.65247i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.18990 + 0.452039i) q^{5} +(-1.41122 + 1.00422i) q^{6} +(0.478693 - 1.07516i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-2.46131 + 1.71521i) q^{9} +(1.10663 + 1.94303i) q^{10} +(0.0215496 + 0.205030i) q^{11} +(1.39116 + 1.03183i) q^{12} +(4.02101 + 4.46579i) q^{13} +(-1.17046 - 0.123021i) q^{14} +(1.88350 + 3.38414i) q^{15} +(0.309017 - 0.951057i) q^{16} +(2.76184 + 0.290281i) q^{17} +(2.39185 + 1.81082i) q^{18} +(-5.16703 + 5.73856i) q^{19} +(1.50596 - 1.65290i) q^{20} +(-2.02511 - 0.233034i) q^{21} +(0.188336 - 0.0838528i) q^{22} +(-0.00908797 + 0.0125085i) q^{23} +(0.551431 - 1.64193i) q^{24} +(4.59132 - 1.97984i) q^{25} +(3.00466 - 5.20422i) q^{26} +(4.11171 + 3.17708i) q^{27} +(0.244694 + 1.15119i) q^{28} +(-2.52776 - 7.77964i) q^{29} +(2.63648 - 2.83707i) q^{30} +(2.12127 + 5.14783i) q^{31} -1.00000 q^{32} +(0.327623 - 0.142017i) q^{33} +(-0.577382 - 2.71637i) q^{34} +(-0.562275 + 2.57089i) q^{35} +(0.983068 - 2.83436i) q^{36} +(0.852298 + 1.47622i) q^{37} +(7.05440 + 3.14082i) q^{38} +(5.29274 - 8.96228i) q^{39} +(-2.03737 - 0.921484i) q^{40} +(1.27121 - 5.98059i) q^{41} +(0.404164 + 1.99800i) q^{42} +(4.62218 - 5.13345i) q^{43} +(-0.137948 - 0.153207i) q^{44} +(4.61469 - 4.86875i) q^{45} +(0.0147046 + 0.00477783i) q^{46} +(-0.319895 + 0.984536i) q^{47} +(-1.73197 - 0.0170584i) q^{48} +(3.75709 + 4.17267i) q^{49} +(-3.30174 - 3.75480i) q^{50} +(-0.953670 - 4.71451i) q^{51} +(-5.87799 - 1.24941i) q^{52} +(1.79512 + 4.03190i) q^{53} +(1.75099 - 4.89224i) q^{54} +(-0.139873 - 0.439255i) q^{55} +(1.01924 - 0.588456i) q^{56} +(12.1644 + 5.56013i) q^{57} +(-6.61775 + 4.80808i) q^{58} +(2.43672 + 11.4639i) q^{59} +(-3.51293 - 1.63073i) q^{60} -7.41104i q^{61} +(4.24037 - 3.60822i) q^{62} +(0.665916 + 3.46737i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-10.8243 - 7.96198i) q^{65} +(-0.236308 - 0.267702i) q^{66} +(5.19611 + 2.99998i) q^{67} +(-2.40500 + 1.38853i) q^{68} +(0.0253865 + 0.00852588i) q^{69} +(2.61881 - 0.259692i) q^{70} +(5.28252 + 11.8647i) q^{71} +(-2.99942 - 0.0590893i) q^{72} +(-1.61610 - 15.3761i) q^{73} +(1.14060 - 1.26676i) q^{74} +(-5.65444 - 6.55952i) q^{75} +(0.807169 - 7.67970i) q^{76} +(0.230757 + 0.0749774i) q^{77} +(-10.1592 - 2.26420i) q^{78} +(0.886172 + 0.0931405i) q^{79} +(-0.246802 + 2.22241i) q^{80} +(3.11611 - 8.44333i) q^{81} +(-6.08071 + 0.639108i) q^{82} +(-2.15789 + 10.1521i) q^{83} +(1.77532 - 1.00180i) q^{84} +(-6.17938 + 0.612773i) q^{85} +(-6.31053 - 2.80963i) q^{86} +(-11.5437 + 8.21455i) q^{87} +(-0.103080 + 0.178540i) q^{88} +(-1.19702 + 0.869686i) q^{89} +(-6.05647 - 2.88430i) q^{90} +(6.72628 - 2.18550i) q^{91} -0.0154614i q^{92} +(7.40573 - 6.17698i) q^{93} +1.03520 q^{94} +(8.72121 - 14.9026i) q^{95} +(0.518984 + 1.65247i) q^{96} +(4.64404 + 6.39198i) q^{97} +(2.80744 - 4.86263i) q^{98} +(-0.404710 - 0.467682i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9}+O(q^{10}) $ 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9	$ 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9} - 2 q^{10} - 10 q^{15} - 64 q^{16} + 6 q^{17} + 6 q^{18} - 4 q^{19} - 3 q^{20} - 20 q^{23} - 2 q^{25} + 42 q^{31} - 256 q^{32} - 8 q^{33} + 14 q^{34} + 16 q^{35} + 4 q^{36} - 36 q^{38} + 8 q^{39} + 3 q^{40} + 55 q^{45} - 10 q^{46} + 6 q^{47} - 40 q^{49} + 7 q^{50} + 68 q^{51} + 34 q^{53} + 6 q^{57} + 10 q^{60} - 2 q^{62} + 72 q^{63} - 64 q^{64} + 8 q^{66} + 6 q^{68} + 10 q^{69} - 16 q^{70} + 6 q^{72} - 80 q^{75} - 24 q^{76} - 100 q^{77} - 8 q^{78} + 40 q^{79} + 2 q^{80} + 12 q^{81} + 26 q^{83} - 30 q^{85} - 16 q^{87} - 25 q^{90} - 20 q^{91} + 22 q^{93} + 4 q^{94} - 56 q^{95} - 130 q^{98} + 102 q^{99}+O(q^{100}) $ 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9 - 2 * q^10 - 10 * q^15 - 64 * q^16 + 6 * q^17 + 6 * q^18 - 4 * q^19 - 3 * q^20 - 20 * q^23 - 2 * q^25 + 42 * q^31 - 256 * q^32 - 8 * q^33 + 14 * q^34 + 16 * q^35 + 4 * q^36 - 36 * q^38 + 8 * q^39 + 3 * q^40 + 55 * q^45 - 10 * q^46 + 6 * q^47 - 40 * q^49 + 7 * q^50 + 68 * q^51 + 34 * q^53 + 6 * q^57 + 10 * q^60 - 2 * q^62 + 72 * q^63 - 64 * q^64 + 8 * q^66 + 6 * q^68 + 10 * q^69 - 16 * q^70 + 6 * q^72 - 80 * q^75 - 24 * q^76 - 100 * q^77 - 8 * q^78 + 40 * q^79 + 2 * q^80 + 12 * q^81 + 26 * q^83 - 30 * q^85 - 16 * q^87 - 25 * q^90 - 20 * q^91 + 22 * q^93 + 4 * q^94 - 56 * q^95 - 130 * q^98 + 102 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{13}{30}\right)$

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 $

$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$3$	−0.518984	−	1.65247i	−0.299635	−	0.954054i
$3$	−0.518984	−	1.65247i	−0.299635	−	0.954054i
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	−2.18990	+	0.452039i	−0.979353	+	0.202158i
$5$	−2.18990	+	0.452039i	−0.979353	+	0.202158i
$6$	−1.41122	+	1.00422i	−0.576127	+	0.409973i
$7$	0.478693	−	1.07516i	0.180929	−	0.406373i	−0.800198	−	0.599735i	$-0.795273\pi$
$7$	0.478693	−	1.07516i	0.180929	−	0.406373i	0.981127	+	0.193362i	$0.0619392\pi$
$8$	0.809017	+	0.587785i	0.286031	+	0.207813i
$9$	−2.46131	+	1.71521i	−0.820437	+	0.571736i
$10$	1.10663	+	1.94303i	0.349947	+	0.614440i
$11$	0.0215496	+	0.205030i	0.00649744	+	0.0618190i	0.997290	−	0.0735685i	$-0.0234387\pi$
$11$	0.0215496	+	0.205030i	0.00649744	+	0.0618190i	−0.990793	+	0.135387i	$0.956772\pi$
$12$	1.39116	+	1.03183i	0.401594	+	0.297862i
$13$	4.02101	+	4.46579i	1.11523	+	1.23859i	0.968394	+	0.249426i	$0.0802420\pi$
$13$	4.02101	+	4.46579i	1.11523	+	1.23859i	0.146835	+	0.989161i	$0.453091\pi$
$14$	−1.17046	−	0.123021i	−0.312820	−	0.0328787i
$15$	1.88350	+	3.38414i	0.486318	+	0.873782i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	2.76184	+	0.290281i	0.669845	+	0.0704036i	0.433345	−	0.901228i	$-0.357333\pi$
$17$	2.76184	+	0.290281i	0.669845	+	0.0704036i	0.236500	+	0.971631i	$0.424000\pi$
$18$	2.39185	+	1.81082i	0.563764	+	0.426814i
$19$	−5.16703	+	5.73856i	−1.18540	+	1.31652i	−0.247792	+	0.968813i	$0.579705\pi$
$19$	−5.16703	+	5.73856i	−1.18540	+	1.31652i	−0.937605	+	0.347704i	$0.886962\pi$
$20$	1.50596	−	1.65290i	0.336744	−	0.369599i
$21$	−2.02511	−	0.233034i	−0.441915	−	0.0508522i
$22$	0.188336	−	0.0838528i	0.0401535	−	0.0178775i
$23$	−0.00908797	+	0.0125085i	−0.00189497	+	0.00260821i	−0.809963	−	0.586480i	$-0.800513\pi$
$23$	−0.00908797	+	0.0125085i	−0.00189497	+	0.00260821i	0.808068	+	0.589089i	$0.200513\pi$
$24$	0.551431	−	1.64193i	0.112560	−	0.335157i
$25$	4.59132	−	1.97984i	0.918264	−	0.395968i
$26$	3.00466	−	5.20422i	0.589262	−	1.02063i
$27$	4.11171	+	3.17708i	0.791299	+	0.611429i
$28$	0.244694	+	1.15119i	0.0462428	+	0.217555i
$29$	−2.52776	−	7.77964i	−0.469393	−	1.44464i	−0.853373	−	0.521301i	$-0.825447\pi$
$29$	−2.52776	−	7.77964i	−0.469393	−	1.44464i	0.383980	−	0.923341i	$-0.374553\pi$
$30$	2.63648	−	2.83707i	0.481353	−	0.517977i
$31$	2.12127	+	5.14783i	0.380992	+	0.924578i
$31$	2.12127	+	5.14783i	0.380992	+	0.924578i
$32$	−1.00000			−0.176777
$33$	0.327623	−	0.142017i	0.0570318	−	0.0247221i
$34$	−0.577382	−	2.71637i	−0.0990203	−	0.465854i
$35$	−0.562275	+	2.57089i	−0.0950418	+	0.434559i
$36$	0.983068	−	2.83436i	0.163845	−	0.472393i
$37$	0.852298	+	1.47622i	0.140117	+	0.242690i	0.927540	−	0.373723i	$-0.121919\pi$
$37$	0.852298	+	1.47622i	0.140117	+	0.242690i	−0.787424	+	0.616412i	$0.788586\pi$
$38$	7.05440	+	3.14082i	1.14437	+	0.509508i
$39$	5.29274	−	8.96228i	0.847517	−	1.43511i
$40$	−2.03737	−	0.921484i	−0.322136	−	0.145699i
$41$	1.27121	−	5.98059i	0.198530	−	0.934012i	−0.760199	−	0.649691i	$-0.774898\pi$
$41$	1.27121	−	5.98059i	0.198530	−	0.934012i	0.958729	−	0.284321i	$-0.0917682\pi$
$42$	0.404164	+	1.99800i	0.0623638	+	0.308299i
$43$	4.62218	−	5.13345i	0.704875	−	0.782843i	−0.279269	−	0.960213i	$-0.590092\pi$
$43$	4.62218	−	5.13345i	0.704875	−	0.782843i	0.984144	+	0.177369i	$0.0567588\pi$
$44$	−0.137948	−	0.153207i	−0.0207964	−	0.0230968i
$45$	4.61469	−	4.86875i	0.687917	−	0.725790i
$46$	0.0147046	+	0.00477783i	0.00216808	+	0.000704452i
$47$	−0.319895	+	0.984536i	−0.0466615	+	0.143609i	−0.971673	−	0.236330i	$-0.924055\pi$
$47$	−0.319895	+	0.984536i	−0.0466615	+	0.143609i	0.925011	+	0.379940i	$0.124055\pi$
$48$	−1.73197	−	0.0170584i	−0.249988	−	0.00246217i
$49$	3.75709	+	4.17267i	0.536727	+	0.596095i
$50$	−3.30174	−	3.75480i	−0.466936	−	0.531009i
$51$	−0.953670	−	4.71451i	−0.133541	−	0.660164i
$52$	−5.87799	−	1.24941i	−0.815131	−	0.173261i
$53$	1.79512	+	4.03190i	0.246579	+	0.553824i	0.993855	−	0.110689i	$-0.0353056\pi$
$53$	1.79512	+	4.03190i	0.246579	+	0.553824i	−0.747277	+	0.664513i	$0.768639\pi$
$54$	1.75099	−	4.89224i	0.238280	−	0.665750i
$55$	−0.139873	−	0.439255i	−0.0188605	−	0.0592291i
$56$	1.01924	−	0.588456i	0.136201	−	0.0786357i
$57$	12.1644	+	5.56013i	1.61121	+	0.736458i
$58$	−6.61775	+	4.80808i	−0.868954	+	0.631332i
$59$	2.43672	+	11.4639i	0.317234	+	1.49247i	0.790999	+	0.611817i	$0.209561\pi$
$59$	2.43672	+	11.4639i	0.317234	+	1.49247i	−0.473765	+	0.880651i	$0.657105\pi$
$60$	−3.51293	−	1.63073i	−0.453518	−	0.210527i
$61$		−	7.41104i		−	0.948887i	−0.880286	−	0.474443i	$-0.842649\pi$
$61$		−	7.41104i		−	0.948887i	0.880286	−	0.474443i	$-0.157351\pi$
$62$	4.24037	−	3.60822i	0.538528	−	0.458244i
$63$	0.665916	+	3.46737i	0.0838975	+	0.436847i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	−10.8243	−	7.96198i	−1.34259	−	0.987562i
$66$	−0.236308	−	0.267702i	−0.0290875	−	0.0329518i
$67$	5.19611	+	2.99998i	0.634806	+	0.366506i	0.782611	−	0.622511i	$-0.213887\pi$
$67$	5.19611	+	2.99998i	0.634806	+	0.366506i	−0.147805	+	0.989017i	$0.547221\pi$
$68$	−2.40500	+	1.38853i	−0.291649	+	0.168384i
$69$	0.0253865	+	0.00852588i	0.00305617	+	0.00102640i
$70$	2.61881	−	0.259692i	0.313008	−	0.0310391i
$71$	5.28252	+	11.8647i	0.626919	+	1.40808i	0.895602	+	0.444855i	$0.146745\pi$
$71$	5.28252	+	11.8647i	0.626919	+	1.40808i	−0.268683	+	0.963229i	$0.586588\pi$
$72$	−2.99942	−	0.0590893i	−0.353485	−	0.00696374i
$73$	−1.61610	−	15.3761i	−0.189150	−	1.79964i	−0.518127	−	0.855304i	$-0.673371\pi$
$73$	−1.61610	−	15.3761i	−0.189150	−	1.79964i	0.328977	−	0.944338i	$-0.393296\pi$
$74$	1.14060	−	1.26676i	0.132592	−	0.147258i
$75$	−5.65444	−	6.55952i	−0.652919	−	0.757428i
$76$	0.807169	−	7.67970i	0.0925886	−	0.880922i
$77$	0.230757	+	0.0749774i	0.0262972	+	0.00854447i
$78$	−10.1592	−	2.26420i	−1.15030	−	0.256370i
$79$	0.886172	+	0.0931405i	0.0997022	+	0.0104791i	0.154248	−	0.988032i	$-0.450704\pi$
$79$	0.886172	+	0.0931405i	0.0997022	+	0.0104791i	−0.0545460	+	0.998511i	$0.517371\pi$
$80$	−0.246802	+	2.22241i	−0.0275933	+	0.248473i
$81$	3.11611	−	8.44333i	0.346235	−	0.938148i
$82$	−6.08071	+	0.639108i	−0.671502	+	0.0705777i
$83$	−2.15789	+	10.1521i	−0.236859	+	1.11433i	0.685522	+	0.728052i	$0.259574\pi$
$83$	−2.15789	+	10.1521i	−0.236859	+	1.11433i	−0.922381	+	0.386282i	$0.873759\pi$
$84$	1.77532	−	1.00180i	0.193703	−	0.109305i
$85$	−6.17938	+	0.612773i	−0.670248	+	0.0664646i
$86$	−6.31053	−	2.80963i	−0.680482	−	0.302970i
$87$	−11.5437	+	8.21455i	−1.23762	+	0.880692i
$88$	−0.103080	+	0.178540i	−0.0109884	+	0.0190324i
$89$	−1.19702	+	0.869686i	−0.126884	+	0.0921865i	−0.649417	−	0.760432i	$-0.724987\pi$
$89$	−1.19702	+	0.869686i	−0.126884	+	0.0921865i	0.522533	+	0.852619i	$0.324987\pi$
$90$	−6.05647	−	2.88430i	−0.638408	−	0.304032i
$91$	6.72628	−	2.18550i	0.705106	−	0.229103i
$92$		−	0.0154614i		−	0.00161196i
$93$	7.40573	−	6.17698i	0.767939	−	0.640523i
$94$	1.03520			0.106773
$95$	8.72121	−	14.9026i	0.894778	−	1.52897i
$96$	0.518984	+	1.65247i	0.0529685	+	0.168654i
$97$	4.64404	+	6.39198i	0.471531	+	0.649007i	0.976850	−	0.213926i	$-0.0686251\pi$
$97$	4.64404	+	6.39198i	0.471531	+	0.649007i	−0.505319	+	0.862933i	$0.668625\pi$
$98$	2.80744	−	4.86263i	0.283594	−	0.491200i
$99$	−0.404710	−	0.467682i	−0.0406749	−	0.0470038i
$100$	−2.55074	+	4.30043i	−0.255074	+	0.430043i
$101$	5.39152	−	7.42079i	0.536477	−	0.738397i	−0.451624	−	0.892209i	$-0.649155\pi$
$101$	5.39152	−	7.42079i	0.536477	−	0.738397i	0.988100	+	0.153812i	$0.0491550\pi$
$102$	−4.18907	+	2.36386i	−0.414780	+	0.234057i
$103$	−1.58761	+	7.46914i	−0.156432	+	0.735956i	0.828076	+	0.560616i	$0.189436\pi$
$103$	−1.58761	+	7.46914i	−0.156432	+	0.735956i	−0.984508	+	0.175340i	$0.943898\pi$
$104$	0.628144	+	5.97639i	0.0615946	+	0.586034i
$105$	4.54012	−	0.405105i	0.443071	−	0.0395342i
$106$	3.27985	−	2.95319i	0.318567	−	0.286839i
$107$	−0.0344939	+	0.328188i	−0.00333465	+	0.0317271i	−0.996063	−	0.0886516i	$-0.971744\pi$
$107$	−0.0344939	+	0.328188i	−0.00333465	+	0.0317271i	0.992728	+	0.120379i	$0.0384109\pi$
$108$	−5.19388	−	0.153506i	−0.499782	−	0.0147711i
$109$	−4.15789	+	12.7967i	−0.398254	+	1.22570i	0.528145	+	0.849154i	$0.322888\pi$
$109$	−4.15789	+	12.7967i	−0.398254	+	1.22570i	−0.926399	+	0.376544i	$0.877112\pi$
$110$	−0.374533	+	0.268765i	−0.0357103	+	0.0256257i
$111$	1.99708	−	2.17453i	0.189555	−	0.206397i
$112$	−0.874616	−	0.787508i	−0.0826434	−	0.0744125i
$113$	−0.200827	−	1.91074i	−0.0188922	−	0.179748i	0.981007	−	0.193975i	$-0.0621379\pi$
$113$	−0.200827	−	1.91074i	−0.0188922	−	0.179748i	−0.999899	+	0.0142270i	$0.995471\pi$
$114$	1.52899	−	13.2872i	0.143203	−	1.24446i
$115$	0.0142474	−	0.0315005i	0.00132858	−	0.00293744i
$116$	6.61775	+	4.80808i	0.614443	+	0.446419i
$117$	−17.5567	−	4.09482i	−1.62312	−	0.378566i
$118$	10.1498	−	5.85999i	0.934365	−	0.539456i
$119$	1.63418	−	2.83047i	0.149805	−	0.259469i
$120$	−0.465363	+	3.84492i	−0.0424817	+	0.350992i
$121$	10.7181	−	2.27819i	0.974368	−	0.207108i
$122$	−7.04832	+	2.29014i	−0.638125	+	0.207339i
$123$	−10.5425	+	1.00319i	−0.950584	+	0.0904543i
$124$	−4.74197	−	2.91783i	−0.425841	−	0.262029i
$125$	−9.15957	+	6.41110i	−0.819257	+	0.573427i
$126$	3.09188	−	1.70480i	0.275447	−	0.151876i
$127$	8.56210	−	1.81993i	0.759764	−	0.161493i	0.188290	−	0.982113i	$-0.439705\pi$
$127$	8.56210	−	1.81993i	0.759764	−	0.161493i	0.571473	+	0.820621i	$0.306372\pi$
$128$	0.809017	−	0.587785i	0.0715077	−	0.0519534i
$129$	−10.8817	−	4.97383i	−0.958080	−	0.437922i
$130$	−4.22739	+	12.7549i	−0.370766	+	1.11868i
$131$	−5.89522	+	13.2409i	−0.515068	+	1.15686i	0.449561	+	0.893249i	$0.351580\pi$
$131$	−5.89522	+	13.2409i	−0.515068	+	1.15686i	−0.964629	+	0.263611i	$0.915086\pi$
$132$	−0.181577	+	0.307466i	−0.0158042	+	0.0267615i
$133$	3.69647	+	8.30240i	0.320524	+	0.719910i
$134$	1.24746	−	5.86884i	0.107764	−	0.506991i
$135$	−10.4404	−	5.09883i	−0.898567	−	0.438837i
$136$	2.06376	+	1.85821i	0.176966	+	0.159340i
$137$	0.130368	−	0.117384i	0.0111381	−	0.0100288i	−0.663543	−	0.748138i	$-0.730948\pi$
$137$	0.130368	−	0.117384i	0.0111381	−	0.0100288i	0.674681	+	0.738110i	$0.264281\pi$
$138$	0.000263747	−	0.0267786i	2.24516e−5	−	0.00227955i
$139$	−16.1754	−	5.25570i	−1.37198	−	0.445782i	−0.471953	−	0.881624i	$-0.656451\pi$
$139$	−16.1754	−	5.25570i	−1.37198	−	0.445782i	−0.900024	+	0.435841i	$0.856451\pi$
$140$	−1.05624	−	2.41039i	−0.0892685	−	0.203715i
$141$	1.79294	+	0.0176589i	0.150992	+	0.00148715i
$142$	9.65164	−	8.69037i	0.809947	−	0.729280i
$143$	−0.828972	+	0.920667i	−0.0693221	+	0.0769900i
$144$	0.870674	+	2.87088i	0.0725562	+	0.239240i
$145$	9.05223	+	15.8940i	0.751747	+	1.31992i
$146$	−14.1242	+	6.28849i	−1.16893	+	0.520439i
$147$	4.94534	−	8.37402i	0.407885	−	0.690677i
$148$	−1.55723	−	0.693321i	−0.128003	−	0.0569907i
$149$	−18.5454	+	10.7072i	−1.51930	+	0.877167i	−0.519556	+	0.854436i	$0.673903\pi$
$149$	−18.5454	+	10.7072i	−1.51930	+	0.877167i	−0.999742	+	0.0227310i	$0.992764\pi$
$150$	−4.49115	+	7.40470i	−0.366701	+	0.604591i
$151$	0.914208	+	1.25830i	0.0743972	+	0.102399i	0.844594	−	0.535408i	$-0.179842\pi$
$151$	0.914208	+	1.25830i	0.0743972	+	0.102399i	−0.770197	+	0.637806i	$0.779842\pi$
$152$	−7.55325	+	1.60549i	−0.612650	+	0.130223i
$153$	−7.29565	+	4.02267i	−0.589818	+	0.325213i
$154$		−	0.242632i		−	0.0195518i
$155$	−6.97240	−	10.3143i	−0.560036	−	0.828468i
$156$	0.985977	+	10.3616i	0.0789413	+	0.829594i
$157$	18.4508	−	5.99503i	1.47253	−	0.478455i	0.540661	−	0.841240i	$-0.318174\pi$
$157$	18.4508	−	5.99503i	1.47253	−	0.478455i	0.931873	+	0.362785i	$0.118174\pi$
$158$	−0.185260	−	0.871582i	−0.0147385	−	0.0693393i
$159$	5.73096	−	5.05887i	0.454495	−	0.401195i
$160$	2.18990	−	0.452039i	0.173127	−	0.0357368i
$161$	0.00909834	+	0.0157588i	0.000717049	+	0.00124197i
$162$	−8.99302	−	0.354467i	−0.706558	−	0.0278496i
$163$	2.80991	−	3.86751i	0.220089	−	0.302927i	−0.684668	−	0.728856i	$-0.740053\pi$
$163$	2.80991	−	3.86751i	0.220089	−	0.302927i	0.904757	+	0.425929i	$0.140053\pi$
$164$	2.48687	+	5.58560i	0.194192	+	0.436162i
$165$	−0.653264	+	0.459102i	−0.0508565	+	0.0357411i
$166$	10.3220	−	1.08489i	0.801143	−	0.0842036i
$167$	3.75091	+	3.37734i	0.290254	+	0.261346i	0.801374	−	0.598163i	$-0.204103\pi$
$167$	3.75091	+	3.37734i	0.290254	+	0.261346i	−0.511120	+	0.859509i	$0.670769\pi$
$168$	−1.50137	−	1.37886i	−0.115833	−	0.106381i
$169$	−2.41584	+	22.9852i	−0.185834	+	1.76809i
$170$	2.49231	+	5.68758i	0.191152	+	0.436218i
$171$	2.87482	−	22.9869i	0.219843	−	1.75785i
$172$	−0.722055	+	6.86989i	−0.0550562	+	0.523825i
$173$	15.0687	+	16.7354i	1.14565	+	1.27237i	0.956923	+	0.290343i	$0.0937694\pi$
$173$	15.0687	+	16.7354i	1.14565	+	1.27237i	0.188727	+	0.982030i	$0.439564\pi$
$174$	11.3797	+	8.44032i	0.862694	+	0.639859i
$175$	0.0691858	−	5.88415i	0.00522996	−	0.444800i
$176$	0.201655	+	0.0428630i	0.0152003	+	0.00323092i
$177$	17.6791	−	9.97617i	1.32884	−	0.749855i
$178$	1.19702	+	0.869686i	0.0897204	+	0.0651857i
$179$	14.5780	+	6.49055i	1.08961	+	0.485127i	0.871299	−	0.490752i	$-0.163278\pi$
$179$	14.5780	+	6.49055i	1.08961	+	0.485127i	0.218313	+	0.975879i	$0.429945\pi$
$180$	−0.871582	+	6.65134i	−0.0649639	+	0.495762i
$181$	19.1079	+	11.0320i	1.42028	+	0.820000i	0.996323	−	0.0856819i	$-0.0273069\pi$
$181$	19.1079	+	11.0320i	1.42028	+	0.820000i	0.423959	+	0.905682i	$0.360640\pi$
$182$	−4.15707	−	5.72172i	−0.308143	−	0.424122i
$183$	−12.2465	+	3.84621i	−0.905289	+	0.284320i
$184$	−0.0147046	+	0.00477783i	−0.00108404	+	0.000352226i
$185$	−2.53376	−	2.84751i	−0.186285	−	0.209353i
$186$	−8.16316	−	5.13448i	−0.598552	−	0.376478i
$187$			0.572518i			0.0418666i
$188$	−0.319895	−	0.984536i	−0.0233307	−	0.0718046i
$189$	5.38412	−	2.89991i	0.391637	−	0.210938i
$190$	−16.8682	−	3.68922i	−1.22375	−	0.267644i
$191$	−1.20489	−	0.695642i	−0.0871825	−	0.0503349i	0.455775	−	0.890095i	$-0.349362\pi$
$191$	−1.20489	−	0.695642i	−0.0871825	−	0.0503349i	−0.542957	+	0.839760i	$0.682696\pi$
$192$	1.41122	−	1.00422i	0.101846	−	0.0724736i
$193$	−3.47479	+	7.80450i	−0.250121	+	0.561780i	−0.994351	−	0.106143i	$-0.966150\pi$
$193$	−3.47479	+	7.80450i	−0.250121	+	0.561780i	0.744230	+	0.667923i	$0.232817\pi$
$194$	4.64404	−	6.39198i	0.333423	−	0.458917i
$195$	−7.53928	+	22.0190i	−0.539899	+	1.57681i
$196$	−5.49218	−	1.16740i	−0.392299	−	0.0833856i
$197$	−4.33015	+	0.455117i	−0.308510	+	0.0324257i	−0.257519	−	0.966273i	$-0.582905\pi$
$197$	−4.33015	+	0.455117i	−0.308510	+	0.0324257i	−0.0509916	+	0.998699i	$0.516238\pi$
$198$	−0.319730	+	0.529424i	−0.0227222	+	0.0376245i
$199$	−14.3551	+	12.9254i	−1.01760	+	0.916255i	−0.996506	−	0.0835229i	$-0.973383\pi$
$199$	−14.3551	+	12.9254i	−1.01760	+	0.916255i	−0.0210979	+	0.999777i	$0.506716\pi$
$200$	4.87818	+	1.09699i	0.344939	+	0.0775688i
$201$	2.26067	−	10.1434i	0.159456	−	0.715458i
$202$	−8.72367	−	2.83449i	−0.613795	−	0.199434i
$203$	−9.57439	−	1.00631i	−0.671991	−	0.0706290i
$204$	3.54266	+	3.25357i	0.248036	+	0.227795i
$205$	−0.0803722	+	13.6715i	−0.00561344	+	0.954862i
$206$	7.59417	−	0.798180i	0.529111	−	0.0556118i
$207$	0.000913602	−	0.0463751i	6.34997e−5	−	0.00322329i
$208$	5.48978	−	2.44421i	0.380648	−	0.169475i
$209$	−1.28793	−	0.935734i	−0.0890878	−	0.0647261i
$210$	−1.78825	−	4.19273i	−0.123401	−	0.289326i
$211$	−5.76648	−	9.98783i	−0.396981	−	0.687591i	0.596371	−	0.802709i	$-0.296609\pi$
$211$	−5.76648	−	9.98783i	−0.396981	−	0.687591i	−0.993352	+	0.115118i	$0.963275\pi$
$212$	−3.82217	−	2.20673i	−0.262508	−	0.151559i
$213$	16.8646	−	14.8868i	1.15554	−	1.02003i
$214$	0.322784	−	0.0686099i	0.0220651	−	0.00469008i
$215$	−7.80159	+	13.3311i	−0.532064	+	0.909176i
$216$	1.45901	+	4.98711i	0.0992728	+	0.339330i
$217$	6.55020	+	0.183520i	0.444656	+	0.0124581i
$218$	13.4552			0.911302
$219$	−24.5699	+	10.6505i	−1.66028	+	0.719695i
$220$	0.371347	+	0.273149i	0.0250362	+	0.0184157i
$221$	9.80908	+	13.5010i	0.659830	+	0.908178i
$222$	−2.68524	−	1.22737i	−0.180221	−	0.0823759i
$223$	6.21411	+	10.7632i	0.416127	+	0.720754i	0.995546	−	0.0942762i	$-0.0300537\pi$
$223$	6.21411	+	10.7632i	0.416127	+	0.720754i	−0.579419	+	0.815030i	$0.696720\pi$
$224$	−0.478693	+	1.07516i	−0.0319840	+	0.0718373i
$225$	−7.90484	+	12.7481i	−0.526989	+	0.849872i
$226$	−1.75516	+	0.781450i	−0.116752	+	0.0519813i
$227$	1.59674	+	0.339397i	0.105979	+	0.0225266i	0.260596	−	0.965448i	$-0.416081\pi$
$227$	1.59674	+	0.339397i	0.105979	+	0.0225266i	−0.154617	+	0.987975i	$0.549414\pi$
$228$	−13.1094	+	2.65182i	−0.868189	+	0.175621i
$229$	0.951407	+	0.856651i	0.0628707	+	0.0566091i	0.699967	−	0.714175i	$-0.253198\pi$
$229$	0.951407	+	0.856651i	0.0628707	+	0.0566091i	−0.637096	+	0.770784i	$0.719865\pi$
$230$	−0.0343615	−	0.00381590i	−0.00226573	−	0.000251613i
$231$	0.00413892	−	0.420230i	0.000272321	−	0.0276491i
$232$	2.52776	−	7.77964i	0.165955	−	0.510758i
$233$	7.39816	−	22.7692i	0.484669	−	1.49166i	−0.347790	−	0.937573i	$-0.613068\pi$
$233$	7.39816	−	22.7692i	0.484669	−	1.49166i	0.832459	−	0.554087i	$-0.186932\pi$
$234$	1.53093	+	17.9628i	0.100080	+	1.17427i
$235$	0.255490	−	2.30064i	0.0166663	−	0.150077i
$236$	−8.70964	−	7.84220i	−0.566949	−	0.510483i
$237$	−0.305997	−	1.51271i	−0.0198767	−	0.0982612i
$238$	−3.19693	−	0.679528i	−0.207226	−	0.0440473i
$239$	−3.35805	+	1.49510i	−0.217214	+	0.0967100i	−0.512459	−	0.858712i	$-0.671265\pi$
$239$	−3.35805	+	1.49510i	−0.217214	+	0.0967100i	0.295245	+	0.955422i	$0.404599\pi$
$240$	3.80054	−	0.745560i	0.245324	−	0.0481257i
$241$	8.62299	−	19.3676i	0.555456	−	1.24757i	−0.389696	−	0.920943i	$-0.627420\pi$
$241$	8.62299	−	19.3676i	0.555456	−	1.24757i	0.945152	−	0.326631i	$-0.105913\pi$
$242$	−5.47875	−	9.48947i	−0.352187	−	0.610006i
$243$	−15.5696	−	0.767332i	−0.998788	−	0.0492244i
$244$	4.35610	+	5.99566i	0.278871	+	0.383833i
$245$	−10.1139	−	7.43938i	−0.646150	−	0.475284i
$246$	4.21190	+	9.71650i	0.268541	+	0.619502i
$247$	−46.4039			−2.95261
$248$	−1.30967	+	5.41154i	−0.0831644	+	0.343633i
$249$	17.8959	−	1.70291i	1.13411	−	0.107918i
$250$	8.92779	+	6.73013i	0.564643	+	0.425651i
$251$	−16.4913	+	3.50534i	−1.04092	+	0.221255i	−0.696499	−	0.717558i	$-0.745260\pi$
$251$	−16.4913	+	3.50534i	−1.04092	+	0.221255i	−0.344426	+	0.938813i	$0.611926\pi$
$252$	−2.57681	−	2.41375i	−0.162323	−	0.152052i
$253$	−0.00276047	−	0.00159376i	−0.000173549	−	0.000100199i
$254$	−4.37669	−	7.58065i	−0.274618	−	0.475653i
$255$	4.21958	+	9.89322i	0.264241	+	0.619537i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	−12.6399	+	5.62763i	−0.788453	+	0.351042i	−0.761142	−	0.648585i	$-0.775361\pi$
$257$	−12.6399	+	5.62763i	−0.788453	+	0.351042i	−0.0273107	+	0.999627i	$0.508694\pi$
$258$	−1.36776	+	11.8861i	−0.0851533	+	0.739997i
$259$	1.99517	−	0.209701i	0.123974	−	0.0130302i
$260$	13.4370	+	0.0789934i	0.833327	+	0.00489896i
$261$	19.5653	+	14.8125i	1.21106	+	0.916869i
$262$	14.4145	+	1.51503i	0.890534	+	0.0935989i
$263$	4.46935	+	1.45218i	0.275592	+	0.0895453i	0.443552	−	0.896248i	$-0.353718\pi$
$263$	4.46935	+	1.45218i	0.275592	+	0.0895453i	−0.167960	+	0.985794i	$0.553718\pi$
$264$	0.348528	+	0.0776773i	0.0214504	+	0.00478071i
$265$	−5.75371	−	8.01800i	−0.353447	−	0.492542i
$266$	6.75378	−	6.08113i	0.414101	−	0.372858i
$267$	2.05836	+	1.52669i	0.125970	+	0.0934317i
$268$	−5.96709	+	0.627166i	−0.364498	+	0.0383103i
$269$	14.9296	+	3.17338i	0.910273	+	0.193485i	0.639170	−	0.769066i	$-0.279278\pi$
$269$	14.9296	+	3.17338i	0.910273	+	0.193485i	0.271104	+	0.962550i	$0.412611\pi$
$270$	−1.62301	+	11.5050i	−0.0987734	+	0.700174i
$271$	4.30922	−	5.93113i	0.261766	−	0.360290i	−0.657822	−	0.753173i	$-0.728522\pi$
$271$	4.30922	−	5.93113i	0.261766	−	0.360290i	0.919589	+	0.392883i	$0.128522\pi$
$272$	1.12953	−	2.53697i	0.0684878	−	0.153826i
$273$	−7.10230	−	9.98074i	−0.429851	−	0.604062i
$274$	−0.151925	−	0.0877138i	−0.00917811	−	0.00529898i
$275$	0.504868	+	0.898696i	0.0304447	+	0.0541934i
$276$	−0.0255495	+	0.00802420i	−0.00153790	+	0.000483000i
$277$	−1.77759	−	5.47085i	−0.106805	−	0.328711i	0.883345	−	0.468723i	$-0.155286\pi$
$277$	−1.77759	−	5.47085i	−0.106805	−	0.328711i	−0.990150	+	0.140012i	$0.955286\pi$
$278$			17.0078i			1.02006i
$279$	−14.0507	−	9.03200i	−0.841195	−	0.540732i
$280$	−1.96602	+	1.74939i	−0.117492	+	0.104546i
$281$	−12.7614	+	4.14644i	−0.761283	+	0.247356i	−0.663829	−	0.747884i	$-0.731070\pi$
$281$	−12.7614	+	4.14644i	−0.761283	+	0.247356i	−0.0974536	+	0.995240i	$0.531070\pi$
$282$	−0.537253	−	1.71064i	−0.0319929	−	0.101867i
$283$	−13.0706	−	17.9902i	−0.776968	−	1.06940i	−0.995610	−	0.0935994i	$-0.970163\pi$
$283$	−13.0706	−	17.9902i	−0.776968	−	1.06940i	0.218642	−	0.975805i	$-0.429837\pi$
$284$	−11.2476	−	6.49378i	−0.667420	−	0.385335i
$285$	−29.1522	−	6.67735i	−1.72683	−	0.395532i
$286$	1.13177	+	0.503897i	0.0669231	+	0.0297961i
$287$	−5.82159	−	4.22963i	−0.343637	−	0.249667i
$288$	2.46131	−	1.71521i	0.145034	−	0.101070i
$289$	−9.08499	−	1.93108i	−0.534411	−	0.113593i
$290$	12.3188	−	13.5207i	0.723384	−	0.793962i
$291$	8.15237	−	10.9915i	0.477900	−	0.644332i
$292$	10.3453	+	11.4896i	0.605414	+	0.672380i
$293$	−0.977942	+	9.30450i	−0.0571320	+	0.543575i	0.928098	+	0.372337i	$0.121443\pi$
$293$	−0.977942	+	9.30450i	−0.0571320	+	0.543575i	−0.985230	+	0.171238i	$0.945223\pi$
$294$	−9.49236	−	2.11558i	−0.553606	−	0.123383i
$295$	−10.5183	−	24.0032i	−0.612398	−	1.39752i
$296$	−0.178179	+	1.69526i	−0.0103564	+	0.0985348i
$297$	−0.562792	+	0.911491i	−0.0326565	+	0.0528901i
$298$	15.9140	+	14.3290i	0.921872	+	0.830058i
$299$	−0.0924033	+	0.00971197i	−0.00534382	+	0.000561658i
$300$	8.43013	+	1.98316i	0.486714	+	0.114498i
$301$	−3.30669	−	7.42694i	−0.190594	−	0.428082i
$302$	0.914208	−	1.25830i	0.0526068	−	0.0724070i
$303$	−15.0607	−	5.05806i	−0.865217	−	0.290578i
$304$	3.86100	+	6.68745i	0.221443	+	0.383551i
$305$	3.35008	+	16.2294i	0.191825	+	0.929295i
$306$	6.08026	+	5.69550i	0.347586	+	0.325590i
$307$	6.20364	+	29.1858i	0.354061	+	1.66572i	0.689976	+	0.723832i	$0.257621\pi$
$307$	6.20364	+	29.1858i	0.354061	+	1.66572i	−0.335916	+	0.941892i	$0.609046\pi$
$308$	−0.230757	+	0.0749774i	−0.0131486	+	0.00427223i
$309$	13.1665	−	1.25288i	0.749014	−	0.0712736i
$310$	−7.65493	+	9.81845i	−0.434771	+	0.557651i
$311$		−	17.4450i		−	0.989215i	−0.869116	−	0.494608i	$-0.835312\pi$
$311$		−	17.4450i		−	0.989215i	0.869116	−	0.494608i	$-0.164688\pi$
$312$	9.54981	−	4.13964i	0.540652	−	0.234361i
$313$	−12.3740	+	2.63018i	−0.699420	+	0.148666i	−0.543880	−	0.839163i	$-0.683045\pi$
$313$	−12.3740	+	2.63018i	−0.699420	+	0.148666i	−0.155541	+	0.987830i	$0.549712\pi$
$314$	−11.4032	−	15.6952i	−0.643521	−	0.885731i
$315$	−3.02567	−	7.29217i	−0.170477	−	0.410867i
$316$	−0.771675	+	0.445527i	−0.0434101	+	0.0250628i
$317$	−25.7995	−	11.4867i	−1.44904	−	0.645155i	−0.476774	−	0.879026i	$-0.658194\pi$
$317$	−25.7995	−	11.4867i	−1.44904	−	0.645155i	−0.972268	+	0.233871i	$0.924861\pi$
$318$	−6.58224	−	3.88719i	−0.369113	−	0.217983i
$319$	1.54059	−	0.685915i	0.0862565	−	0.0384039i
$320$	−1.10663	−	1.94303i	−0.0618625	−	0.108619i
$321$	0.560222	−	0.113324i	0.0312686	−	0.00632513i
$322$	0.0121760	−	0.0135228i	0.000678539	−	0.000753594i
$323$	−15.9363	+	14.3491i	−0.886720	+	0.798406i
$324$	2.44188	+	8.66240i	0.135660	+	0.481245i
$325$	27.3033	+	12.5429i	1.51452	+	0.695756i
$326$	−4.54653	−	1.47726i	−0.251809	−	0.0818177i
$327$	23.3040	+	0.229525i	1.28871	+	0.0126928i
$328$	4.54374	−	4.09120i	0.250886	−	0.225899i
$329$	0.905404	+	0.815229i	0.0499165	+	0.0449451i
$330$	0.638502	+	0.479420i	0.0351484	+	0.0263912i
$331$	−5.01227	+	23.5809i	−0.275499	+	1.29612i	0.594909	+	0.803793i	$0.297188\pi$
$331$	−5.01227	+	23.5809i	−0.275499	+	1.29612i	−0.870409	+	0.492330i	$0.836145\pi$
$332$	−4.22146	−	9.48157i	−0.231683	−	0.520369i
$333$	−4.62980	−	2.17158i	−0.253712	−	0.119002i
$334$	2.05294	−	4.61099i	0.112332	−	0.252302i
$335$	−12.7351	−	4.22081i	−0.695792	−	0.230607i
$336$	−0.847421	+	1.85398i	−0.0462306	+	0.101143i
$337$	−18.0576	+	13.1196i	−0.983658	+	0.714669i	−0.958523	−	0.285015i	$-0.908002\pi$
$337$	−18.0576	+	13.1196i	−0.983658	+	0.714669i	−0.0251348	+	0.999684i	$0.508002\pi$
$338$	22.6068	−	4.80522i	1.22965	−	0.261370i
$339$	−3.05322	+	1.32350i	−0.165828	+	0.0718829i
$340$	4.63904	−	4.12789i	0.251587	−	0.223866i
$341$	−1.00975	+	0.545859i	−0.0546811	+	0.0295599i
$342$	−22.7502	+	4.36923i	−1.23019	+	0.236261i
$343$	14.1200	−	4.58785i	0.762406	−	0.247721i
$344$	6.75679	−	1.43620i	0.364301	−	0.0774347i
$345$	−0.0594478	−	0.00719516i	−0.00320056	−	0.000387374i
$346$	11.2599	−	19.5027i	0.605335	−	1.04847i
$347$	13.9316	−	8.04339i	0.747885	−	0.431792i	−0.0770439	−	0.997028i	$-0.524548\pi$
$347$	13.9316	−	8.04339i	0.747885	−	0.431792i	0.824929	+	0.565236i	$0.191215\pi$
$348$	4.51070	−	13.4310i	0.241799	−	0.719975i
$349$	−9.76613	−	7.09551i	−0.522769	−	0.379814i	0.294877	−	0.955535i	$-0.404721\pi$
$349$	−9.76613	−	7.09551i	−0.522769	−	0.379814i	−0.817646	+	0.575721i	$0.804721\pi$
$350$	−5.61754	+	1.75250i	−0.300270	+	0.0936752i
$351$	2.34510	+	31.1371i	0.125172	+	1.66198i
$352$	−0.0215496	−	0.205030i	−0.00114860	−	0.0109282i
$353$	11.0625	+	9.96075i	0.588799	+	0.530157i	0.908785	−	0.417265i	$-0.137011\pi$
$353$	11.0625	+	9.96075i	0.588799	+	0.530157i	−0.319986	+	0.947422i	$0.603678\pi$
$354$	−14.9510	−	13.7310i	−0.794638	−	0.729794i
$355$	−16.9315	−	23.5947i	−0.898631	−	1.25227i
$356$	0.457221	−	1.40718i	0.0242327	−	0.0745804i
$357$	−5.52538	−	1.23145i	−0.292434	−	0.0651755i
$358$	1.66803	−	15.8702i	0.0881580	−	0.838767i
$359$	18.4088	−	16.5753i	0.971579	−	0.874813i	−0.0205811	−	0.999788i	$-0.506552\pi$
$359$	18.4088	−	16.5753i	0.971579	−	0.874813i	0.992160	+	0.124975i	$0.0398850\pi$
$360$	6.59514	−	1.22645i	0.347594	−	0.0646398i
$361$	−4.24691	−	40.4067i	−0.223522	−	2.12667i
$362$	4.58735	−	21.5818i	0.241106	−	1.13431i
$363$	−9.32714	−	16.5289i	−0.489548	−	0.867543i
$364$	−4.15707	+	5.72172i	−0.217890	+	0.299899i
$365$	10.4897	+	32.9417i	0.549056	+	1.72425i
$366$	7.44235	+	10.4586i	0.389018	+	0.546679i
$367$	15.3735	−	26.6277i	0.802491	−	1.38996i	−0.115480	−	0.993310i	$-0.536841\pi$
$367$	15.3735	−	26.6277i	0.802491	−	1.38996i	0.917972	−	0.396646i	$-0.129826\pi$
$368$	0.00908797	+	0.0125085i	0.000473743	+	0.000652052i
$369$	7.12912	+	16.9005i	0.371127	+	0.879805i
$370$	−1.92517	+	3.28967i	−0.100085	+	0.171022i
$371$	5.19426			0.269673
$372$	−2.36063	+	9.35026i	−0.122393	+	0.484789i
$373$		−	6.79500i		−	0.351832i	−0.984405	−	0.175916i	$-0.943711\pi$
$373$		−	6.79500i		−	0.351832i	0.984405	−	0.175916i	$-0.0562887\pi$
$374$	0.544497	−	0.176918i	0.0281552	−	0.00914819i
$375$	15.3478	+	11.8087i	0.792558	+	0.609796i
$376$	−0.837496	+	0.608476i	−0.0431906	+	0.0313798i
$377$	24.5781	−	42.5705i	1.26583	−	2.19249i
$378$	−4.42177	−	4.22448i	−0.227431	−	0.217284i
$379$	−3.07739	−	1.37014i	−0.158075	−	0.0703794i	0.326174	−	0.945310i	$-0.394240\pi$
$379$	−3.07739	−	1.37014i	−0.158075	−	0.0703794i	−0.484249	+	0.874930i	$0.660907\pi$
$380$	1.70390	+	17.1826i	0.0874083	+	0.881451i
$381$	−7.45097	−	13.2041i	−0.381725	−	0.676467i
$382$	−0.289264	+	1.36088i	−0.0148000	+	0.0696287i
$383$	10.4169	−	1.09486i	0.532277	−	0.0559446i	0.165422	−	0.986223i	$-0.447101\pi$
$383$	10.4169	−	1.09486i	0.532277	−	0.0559446i	0.366855	+	0.930278i	$0.380435\pi$
$384$	−1.39116	−	1.03183i	−0.0709925	−	0.0526551i
$385$	−0.539227	−	0.0598820i	−0.0274815	−	0.00305187i
$386$	8.49629	+	0.892996i	0.432450	+	0.0454523i
$387$	−2.57168	+	20.5630i	−0.130726	+	1.04528i
$388$	−7.51422	−	2.44152i	−0.381477	−	0.123949i
$389$	0.124535	−	1.18487i	0.00631418	−	0.0600755i	−0.990911	−	0.134519i	$-0.957051\pi$
$389$	0.124535	−	1.18487i	0.00631418	−	0.0600755i	0.997225	+	0.0744430i	$0.0237179\pi$
$390$	23.2711	+	0.366028i	1.17838	+	0.0185346i
$391$	−0.0287305	+	0.0319085i	−0.00145297	+	0.00161368i
$392$	0.586915	+	5.58412i	0.0296437	+	0.282041i
$393$	24.9397	+	2.86987i	1.25804	+	0.144766i
$394$	1.77093	+	3.97758i	0.0892182	+	0.200387i
$395$	−1.98273	+	0.196616i	−0.0997621	+	0.00989282i
$396$	0.602314	+	0.140480i	0.0302674	+	0.00705938i
$397$	19.5103	−	11.2643i	0.979196	−	0.565339i	0.0771688	−	0.997018i	$-0.475412\pi$
$397$	19.5103	−	11.2643i	0.979196	−	0.565339i	0.902027	+	0.431679i	$0.142079\pi$
$398$	16.7287	+	9.65832i	0.838534	+	0.484128i
$399$	11.8011	−	10.4171i	0.590792	−	0.521508i
$400$	−0.464142	−	4.97841i	−0.0232071	−	0.248921i
$401$	4.24011	+	13.0497i	0.211741	+	0.651672i	0.999369	+	0.0355207i	$0.0113090\pi$
$401$	4.24011	+	13.0497i	0.211741	+	0.651672i	−0.787628	+	0.616151i	$0.788691\pi$
$402$	−10.3455	+	0.984442i	−0.515986	+	0.0490995i
$403$	−14.4595	+	30.1727i	−0.720278	+	1.50301i
$404$			9.17261i			0.456354i
$405$	−3.00726	+	19.8987i	−0.149432	+	0.988772i
$406$	2.00159	+	9.41675i	0.0993374	+	0.467346i
$407$	−0.284304	+	0.206559i	−0.0140924	+	0.0102387i
$408$	1.99959	−	4.37467i	0.0989943	−	0.216579i
$409$	16.3778	−	9.45573i	0.809831	−	0.467556i	−0.0370664	−	0.999313i	$-0.511801\pi$
$409$	16.3778	−	9.45573i	0.809831	−	0.467556i	0.846897	+	0.531757i	$0.178468\pi$
$410$	13.0272	−	4.14830i	0.643370	−	0.204870i
$411$	−0.261632	−	0.154509i	−0.0129054	−	0.00762137i
$412$	−3.10584	−	6.97584i	−0.153014	−	0.343675i
$413$	13.4920	+	2.86780i	0.663896	+	0.141115i
$414$	−0.0443877	+	0.0134618i	−0.00218154	+	0.000661612i
$415$	0.136432	−	23.2074i	0.00669718	−	1.13921i
$416$	−4.02101	−	4.46579i	−0.197146	−	0.218953i
$417$	−0.290126	+	29.4569i	−0.0142075	+	1.44251i
$418$	−0.491945	+	1.51405i	−0.0240618	+	0.0740546i
$419$	−18.3490	−	5.96197i	−0.896410	−	0.291261i	−0.175655	−	0.984452i	$-0.556204\pi$
$419$	−18.3490	−	5.96197i	−0.896410	−	0.291261i	−0.720754	+	0.693191i	$0.756204\pi$
$420$	−3.43492	+	2.99635i	−0.167607	+	0.146207i
$421$	8.94931	+	9.93921i	0.436162	+	0.484408i	0.920649	−	0.390391i	$-0.127660\pi$
$421$	8.94931	+	9.93921i	0.436162	+	0.484408i	−0.484487	+	0.874799i	$0.660994\pi$
$422$	−7.71705	+	8.57066i	−0.375660	+	0.417213i
$423$	−0.901323	−	2.97194i	−0.0438238	−	0.144500i
$424$	−0.917611	+	4.31702i	−0.0445631	+	0.209653i
$425$	13.2552	−	4.13523i	0.642973	−	0.200588i
$426$	−19.3696	−	11.4389i	−0.938461	−	0.554215i
$427$	−7.96807	−	3.54761i	−0.385602	−	0.171681i
$428$	−0.164998	−	0.285785i	−0.00797547	−	0.0138139i
$429$	1.95160	+	0.892040i	0.0942240	+	0.0430681i
$430$	15.0895	+	3.30020i	0.727680	+	0.159150i
$431$	−4.94147	−	23.2478i	−0.238022	−	1.11981i	−0.921059	−	0.389423i	$-0.872674\pi$
$431$	−4.94147	−	23.2478i	−0.238022	−	1.11981i	0.683037	−	0.730384i	$-0.260659\pi$
$432$	4.29217	−	2.92870i	0.206507	−	0.140907i
$433$	−0.551571			−0.0265068			−0.0132534	−	0.999912i	$-0.504219\pi$
$433$	−0.551571			−0.0265068			−0.0132534	+	0.999912i	$0.504219\pi$
$434$	−1.84958	−	6.28632i	−0.0887829	−	0.301753i
$435$	21.5664	−	23.2073i	1.03403	−	1.11270i
$436$	−4.15789	−	12.7967i	−0.199127	−	0.612849i
$437$	−0.0248231	−	0.116784i	−0.00118745	−	0.00558652i
$438$	17.7218	+	20.0762i	0.846778	+	0.959276i
$439$	2.92210	−	5.06123i	0.139464	−	0.241559i	−0.787830	−	0.615893i	$-0.788795\pi$
$439$	2.92210	−	5.06123i	0.139464	−	0.241559i	0.927294	+	0.374334i	$0.122129\pi$
$440$	0.145028	−	0.437580i	0.00691393	−	0.0208608i
$441$	−16.4044	−	3.82605i	−0.781160	−	0.182193i
$442$	9.80908	−	13.5010i	0.466570	−	0.642179i
$443$	−8.14735	+	3.62744i	−0.387092	+	0.172345i	−0.591050	−	0.806635i	$-0.701286\pi$
$443$	−8.14735	+	3.62744i	−0.387092	+	0.172345i	0.203957	+	0.978980i	$0.434620\pi$
$444$	−0.337518	+	2.93309i	−0.0160179	+	0.139198i
$445$	2.22822	−	2.44562i	0.105628	−	0.115934i
$446$	8.31610	−	9.23597i	0.393779	−	0.437336i
$447$	27.3181	+	25.0888i	1.29210	+	1.18666i
$448$	1.17046	+	0.123021i	0.0552992	+	0.00581219i
$449$	3.82343	−	11.7673i	0.180439	−	0.555333i	−0.819401	−	0.573220i	$-0.805694\pi$
$449$	3.82343	−	11.7673i	0.180439	−	0.555333i	0.999840	+	0.0178872i	$0.00569399\pi$
$450$	14.5669	+	3.57857i	0.686689	+	0.168696i
$451$	1.25360	+	0.131758i	0.0590296	+	0.00620426i
$452$	1.28558	+	1.42778i	0.0604685	+	0.0671571i
$453$	1.60484	−	2.16374i	0.0754021	−	0.101661i
$454$	−0.170633	−	1.62347i	−0.00800822	−	0.0761931i
$455$	−13.7419	+	7.82657i	−0.644233	+	0.366915i
$456$	6.57305	+	11.6483i	0.307811	+	0.545482i
$457$	−28.4057	−	20.6379i	−1.32876	−	0.965401i	−0.999778	−	0.0210648i	$-0.993294\pi$
$457$	−28.4057	−	20.6379i	−1.32876	−	0.965401i	−0.328982	−	0.944336i	$-0.606706\pi$
$458$	0.520722	−	1.16956i	0.0243318	−	0.0546500i
$459$	10.4337	+	9.96814i	0.487001	+	0.465273i
$460$	0.00698914	+	0.0338589i	0.000325870	+	0.00157868i
$461$	17.2230	−	12.5132i	0.802155	−	0.582800i	−0.109390	−	0.993999i	$-0.534890\pi$
$461$	17.2230	−	12.5132i	0.802155	−	0.582800i	0.911546	+	0.411199i	$0.134890\pi$
$462$	−0.400942	+	0.125922i	−0.0186535	+	0.00585842i
$463$	−2.05389	−	6.32122i	−0.0954523	−	0.293772i	0.891919	−	0.452195i	$-0.149359\pi$
$463$	−2.05389	−	6.32122i	−0.0954523	−	0.293772i	−0.987371	+	0.158423i	$0.949359\pi$
$464$	−8.17999			−0.379747
$465$	−13.4256	+	16.8746i	−0.622596	+	0.782543i
$466$	−23.9409			−1.10904
$467$	12.9451	+	39.8410i	0.599029	+	1.84362i	0.533549	+	0.845769i	$0.320858\pi$
$467$	12.9451	+	39.8410i	0.599029	+	1.84362i	0.0654806	+	0.997854i	$0.479142\pi$
$468$	16.6106	−	7.00681i	0.767824	−	0.323890i
$469$	5.71281	−	4.15060i	0.263793	−	0.191657i
$470$	−2.26699	+	0.467951i	−0.104568	+	0.0215850i
$471$	−19.4823	−	27.3781i	−0.897696	−	1.26151i
$472$	−4.76694	+	10.7067i	−0.219416	+	0.492817i
$473$	1.15212	+	0.837064i	0.0529745	+	0.0384882i
$474$	−1.34412	+	0.758474i	−0.0617373	+	0.0348379i
$475$	−12.3620	+	36.5775i	−0.567210	+	1.67829i
$476$	0.341636	+	3.25045i	0.0156588	+	0.148984i
$477$	−11.3339	−	6.84477i	−0.518944	−	0.313400i
$478$	2.45962	+	2.73168i	0.112500	+	0.124944i
$479$	0.391560	+	0.0411547i	0.0178909	+	0.00188040i	0.113470	−	0.993541i	$-0.463804\pi$
$479$	0.391560	+	0.0411547i	0.0178909	+	0.00188040i	−0.0955788	+	0.995422i	$0.530470\pi$
$480$	−1.88350	−	3.38414i	−0.0859697	−	0.154464i
$481$	−3.16540	+	9.74210i	−0.144330	+	0.444201i
$482$	−21.0843	−	2.21605i	−0.960363	−	0.100938i
$483$	0.0213190	−	0.0232133i	0.000970049	−	0.00105624i
$484$	−7.33200	+	8.14301i	−0.333273	+	0.370137i
$485$	−13.0594	−	11.8985i	−0.592997	−	0.540283i
$486$	4.08148	+	15.0447i	0.185140	+	0.682439i
$487$	1.82375	−	0.811984i	0.0826418	−	0.0367945i	−0.364999	−	0.931008i	$-0.618931\pi$
$487$	1.82375	−	0.811984i	0.0826418	−	0.0367945i	0.447641	+	0.894213i	$0.352264\pi$
$488$	4.35610	−	5.99566i	0.197191	−	0.271411i
$489$	−7.84924	−	2.63612i	−0.354955	−	0.119209i
$490$	−3.94991	+	11.9177i	−0.178439	+	0.538389i
$491$	8.15390	−	14.1230i	0.367980	−	0.637360i	−0.621269	−	0.783597i	$-0.713383\pi$
$491$	8.15390	−	14.1230i	0.367980	−	0.637360i	0.989250	+	0.146237i	$0.0467161\pi$
$492$	7.93939	−	7.00832i	0.357936	−	0.315959i
$493$	−4.72298	−	22.2199i	−0.212713	−	1.00073i
$494$	14.3396	+	44.1327i	0.645169	+	1.98563i
$495$	1.09769	+	0.841232i	0.0493373	+	0.0378106i
$496$	5.55139	−	0.426682i	0.249265	−	0.0191586i
$497$	15.2852			0.685635
$498$	−7.14970	−	16.4938i	−0.320386	−	0.739103i
$499$	−7.21362	−	33.9374i	−0.322926	−	1.51925i	−0.777697	−	0.628639i	$-0.783612\pi$
$499$	−7.21362	−	33.9374i	−0.322926	−	1.51925i	0.454771	−	0.890608i	$-0.349721\pi$
$500$	3.64190	−	10.5706i	0.162871	−	0.472730i
$501$	3.63429	−	7.95105i	0.162368	−	0.355227i
$502$	8.42989	+	14.6010i	0.376244	+	0.651674i
$503$	−17.6947	−	7.87817i	−0.788966	−	0.351270i	−0.0276222	−	0.999618i	$-0.508794\pi$
$503$	−17.6947	−	7.87817i	−0.788966	−	0.351270i	−0.761344	+	0.648348i	$0.775460\pi$
$504$	−1.49933	+	3.19658i	−0.0667855	+	0.142387i
$505$	−8.45241	+	18.6880i	−0.376127	+	0.831604i
$506$	−0.000662722		0.00311786i	−2.94616e−5		0.000138606i
$507$	39.2362	−	7.93685i	1.74254	−	0.352488i
$508$	−5.85716	+	6.50503i	−0.259869	+	0.288614i
$509$	3.49809	+	3.88503i	0.155050	+	0.172201i	0.815665	−	0.578524i	$-0.196371\pi$
$509$	3.49809	+	3.88503i	0.155050	+	0.172201i	−0.660615	+	0.750725i	$0.729704\pi$
$510$	8.10508	−	7.07024i	0.358899	−	0.313075i
$511$	−17.3055	−	5.62289i	−0.765549	−	0.248742i
$512$	−0.309017	+	0.951057i	−0.0136568	+	0.0420312i
$513$	−39.4772	+	7.17928i	−1.74296	+	0.316973i
$514$	9.25812	+	10.2822i	0.408358	+	0.453528i
$515$	0.100376	−	17.0743i	0.00442312	−	0.752385i
$516$	11.7270	−	2.37219i	0.516254	−	0.104430i
$517$	−0.208753	−	0.0443719i	−0.00918096	−	0.00195147i
$518$	−0.815978	−	1.83272i	−0.0358520	−	0.0805249i
$519$	19.8344	−	33.5859i	0.870635	−	1.47426i
$520$	−4.07713	−	12.8038i	−0.178794	−	0.561482i
$521$	−8.61931	+	4.97636i	−0.377619	+	0.218018i	−0.676782	−	0.736184i	$-0.736626\pi$
$521$	−8.61931	+	4.97636i	−0.377619	+	0.218018i	0.299163	+	0.954202i	$0.403293\pi$
$522$	8.04149	−	23.1850i	0.351967	−	1.01478i
$523$	−17.2532	+	12.5352i	−0.754428	+	0.548124i	−0.897196	−	0.441632i	$-0.854400\pi$
$523$	−17.2532	+	12.5352i	−0.754428	+	0.548124i	0.142768	+	0.989756i	$0.454400\pi$
$524$	−3.01346	−	14.1772i	−0.131644	−	0.619335i
$525$	−9.75929	+	2.93945i	−0.425930	+	0.128288i
$526$		−	4.69936i		−	0.204902i
$527$	4.36430	+	14.8333i	0.190112	+	0.646148i
$528$	−0.0338256	−	0.355474i	−0.00147207	−	0.0154700i
$529$	7.10732	+	21.8741i	0.309014	+	0.951047i
$530$	−5.84758	+	7.94980i	−0.254003	+	0.345317i
$531$	−25.6605	−	24.0367i	−1.11357	−	1.04310i
$532$	−7.87053	−	4.54406i	−0.341231	−	0.197010i
$533$	31.8196	−	18.3711i	1.37826	−	0.795740i
$534$	0.815896	−	2.42939i	0.0353073	−	0.105130i
$535$	−0.0728154	−	0.734291i	−0.00314808	−	0.0317462i
$536$	2.44040	+	5.48123i	0.105409	+	0.236753i
$537$	3.15969	−	27.4582i	0.136351	−	1.18491i
$538$	−1.59543	−	15.1795i	−0.0687839	−	0.654435i
$539$	−0.774561	+	0.860237i	−0.0333627	+	0.0370530i
$540$	11.4435	−	2.01167i	0.492449	−	0.0865687i
$541$	−0.474530	+	4.51485i	−0.0204016	+	0.194108i	−0.999976	−	0.00697528i	$-0.997780\pi$
$541$	−0.474530	+	4.51485i	−0.0204016	+	0.194108i	0.979574	+	0.201084i	$0.0644463\pi$
$542$	−6.97246	−	2.26549i	−0.299493	−	0.0973111i
$543$	8.31329	−	37.3007i	0.356757	−	1.60073i
$544$	−2.76184	−	0.290281i	−0.118413	−	0.0124457i
$545$	3.32077	−	29.9029i	0.142246	−	1.28090i
$546$	−7.29751	+	9.83891i	−0.312305	+	0.421066i
$547$	−33.0911	+	3.47801i	−1.41487	+	0.148709i	−0.780905	−	0.624650i	$-0.785242\pi$
$547$	−33.0911	+	3.47801i	−1.41487	+	0.148709i	−0.633968	+	0.773359i	$0.718575\pi$
$548$	−0.0364735	+	0.171594i	−0.00155807	+	0.00733014i
$549$	12.7115	+	18.2409i	0.542513	+	0.778502i
$550$	0.698698	−	0.757871i	0.0297926	−	0.0323157i
$551$	57.7049	+	25.6919i	2.45831	+	1.09451i
$552$	0.0155267	+	0.0218194i	0.000660860	+	0.000928694i
$553$	0.524346	−	0.908193i	0.0222974	−	0.0386203i
$554$	−4.65378	+	3.38117i	−0.197720	+	0.143652i
$555$	−3.39044	+	5.66477i	−0.143916	+	0.240456i
$556$	16.1754	−	5.25570i	0.685988	−	0.222891i
$557$			40.7775i			1.72780i	0.503665	+	0.863899i	$0.331985\pi$
$557$			40.7775i			1.72780i	−0.503665	+	0.863899i	$0.668015\pi$
$558$	−4.24803	+	16.1541i	−0.179833	+	0.683857i
$559$	41.5107			1.75572
$560$	2.27130	+	1.32920i	0.0959802	+	0.0561691i
$561$	0.946068	−	0.297127i	0.0399430	−	0.0125447i
$562$	7.88699	+	10.8555i	0.332693	+	0.457912i
$563$	0.0543336	−	0.0941086i	0.00228989	−	0.00396620i	−0.864878	−	0.501982i	$-0.832604\pi$
$563$	0.0543336	−	0.0941086i	0.00228989	−	0.00396620i	0.867168	+	0.498016i	$0.165938\pi$
$564$	−1.46089	+	1.03957i	−0.0615148	+	0.0437740i
$565$	1.30352	+	4.09355i	0.0548395	+	0.172217i
$566$	−13.0706	+	17.9902i	−0.549399	+	0.756183i
$567$	−7.58629	−	7.39209i	−0.318594	−	0.310439i
$568$	−2.70027	+	12.7038i	−0.113301	+	0.533038i
$569$	−4.29543	−	40.8683i	−0.180074	−	1.71329i	−0.595246	−	0.803544i	$-0.702945\pi$
$569$	−4.29543	−	40.8683i	−0.180074	−	1.71329i	0.415172	−	0.909743i	$-0.363721\pi$
$570$	2.65799	+	29.7888i	0.111331	+	1.24772i
$571$	−14.0820	+	12.6795i	−0.589312	+	0.530619i	−0.908941	−	0.416924i	$-0.863108\pi$
$571$	−14.0820	+	12.6795i	−0.589312	+	0.530619i	0.319630	+	0.947543i	$0.396441\pi$
$572$	0.129498	−	1.23209i	0.00541459	−	0.0515164i
$573$	−0.524210	+	2.35207i	−0.0218992	+	0.0982589i
$574$	−2.22365	+	6.84369i	−0.0928133	+	0.285650i
$575$	−0.0169609	+	0.0754233i	−0.000707320	+	0.00314537i
$576$	−2.39185	−	1.81082i	−0.0996603	−	0.0754507i
$577$	−16.1490	−	14.5407i	−0.672294	−	0.605336i	0.260618	−	0.965442i	$-0.416074\pi$
$577$	−16.1490	−	14.5407i	−0.672294	−	0.605336i	−0.932911	+	0.360106i	$0.882740\pi$
$578$	0.970856	+	9.23708i	0.0403823	+	0.384212i
$579$	14.7001	+	1.69157i	0.610914	+	0.0702994i
$580$	−16.6657	−	7.53773i	−0.692004	−	0.312987i
$581$	9.88215	+	7.17980i	0.409981	+	0.297868i
$582$	−12.9727	−	4.35681i	−0.537737	−	0.180596i
$583$	−0.787979	+	0.454940i	−0.0326348	+	0.0188417i
$584$	7.73042	−	13.3895i	0.319887	−	0.554061i
$585$	40.2985	+	1.03092i	1.66614	+	0.0426232i
$586$	9.15131	−	1.94517i	0.378037	−	0.0803542i
$587$	25.5502	−	8.30176i	1.05457	−	0.342650i	0.270109	−	0.962830i	$-0.412940\pi$
$587$	25.5502	−	8.30176i	1.05457	−	0.342650i	0.784460	+	0.620179i	$0.212940\pi$
$588$	0.921260	+	9.68152i	0.0379921	+	0.399259i
$589$	−40.5018	−	14.4259i	−1.66885	−	0.594410i
$590$	−19.5781	+	17.4209i	−0.806018	+	0.717207i
$591$	2.99934	+	6.91924i	0.123376	+	0.284619i
$592$	1.66735	−	0.354405i	0.0685275	−	0.0145660i
$593$	18.1598	−	13.1939i	0.745735	−	0.541809i	−0.148767	−	0.988872i	$-0.547530\pi$
$593$	18.1598	−	13.1939i	0.745735	−	0.541809i	0.894502	+	0.447064i	$0.147530\pi$
$594$	1.04079	+	0.253581i	0.0427042	+	0.0104046i
$595$	−2.29920	+	6.93717i	−0.0942578	+	0.284396i
$596$	8.71001	−	19.5630i	0.356776	−	0.801332i
$597$	28.8088	+	17.0133i	1.17907	+	0.696306i
$598$	0.0377908	+	0.0848796i	0.00154538	+	0.00347098i
$599$	−1.02410	+	4.81800i	−0.0418435	+	0.196858i	−0.994104	−	0.108427i	$-0.965419\pi$
$599$	−1.02410	+	4.81800i	−0.0418435	+	0.196858i	0.952261	+	0.305285i	$0.0987518\pi$
$600$	−0.718955	−	8.63036i	−0.0293512	−	0.352333i
$601$	15.5037	+	13.9596i	0.632407	+	0.569422i	0.921741	−	0.387806i	$-0.126767\pi$
$601$	15.5037	+	13.9596i	0.632407	+	0.569422i	−0.289334	+	0.957228i	$0.593434\pi$
$602$	−6.04162	+	5.43989i	−0.246238	+	0.221714i
$603$	−17.9348	+	1.52854i	−0.730364	+	0.0622471i
$604$	−1.47922	−	0.480628i	−0.0601886	−	0.0195565i
$605$	−22.4416	+	9.83399i	−0.912382	+	0.399808i
$606$	−0.156470	+	15.8866i	−0.00635617	+	0.645351i
$607$	2.82526	−	2.54388i	0.114674	−	0.103253i	−0.609799	−	0.792556i	$-0.708750\pi$
$607$	2.82526	−	2.54388i	0.114674	−	0.103253i	0.724473	+	0.689303i	$0.242083\pi$
$608$	5.16703	−	5.73856i	0.209551	−	0.232729i
$609$	3.30606	+	16.3436i	0.133968	+	0.662278i
$610$	14.3999	−	8.20129i	0.583034	−	0.332060i
$611$	−5.68303	+	2.53025i	−0.229911	+	0.102363i
$612$	3.53784	−	7.54268i	0.143009	−	0.304895i
$613$	−9.58012	−	4.26535i	−0.386938	−	0.172276i	0.204042	−	0.978962i	$-0.434592\pi$
$613$	−9.58012	−	4.26535i	−0.386938	−	0.172276i	−0.590980	+	0.806686i	$0.701259\pi$
$614$	25.8404	−	14.9189i	1.04283	−	0.602079i
$615$	22.6335	−	6.96249i	0.912671	−	0.280755i
$616$	0.142615	+	0.196293i	0.00574614	+	0.00790889i
$617$	−15.0749	+	3.20427i	−0.606893	+	0.128999i	−0.501100	−	0.865389i	$-0.667071\pi$
$617$	−15.0749	+	3.20427i	−0.606893	+	0.128999i	−0.105793	+	0.994388i	$0.533738\pi$
$618$	−5.26022	−	12.1349i	−0.211597	−	0.488137i
$619$		−	41.0432i		−	1.64967i	−0.565376	−	0.824833i	$-0.691269\pi$
$619$		−	41.0432i		−	1.64967i	0.565376	−	0.824833i	$-0.308731\pi$
$620$	11.7034	+	4.24621i	0.470020	+	0.170532i
$621$	−0.0771076	+	0.0225582i	−0.00309422	+	0.000905231i
$622$	−16.5912	+	5.39080i	−0.665246	+	0.216152i
$623$	0.362048	+	1.70330i	0.0145052	+	0.0682414i
$624$	−6.88809	−	7.80319i	−0.275744	−	0.312378i
$625$	17.1605	−	18.1802i	0.686419	−	0.727206i
$626$	6.32523	+	10.9556i	0.252807	+	0.437874i
$627$	−0.877859	+	2.61389i	−0.0350583	+	0.104389i
$628$	−11.4032	+	15.6952i	−0.455038	+	0.626306i
$629$	1.92539	+	4.32450i	0.0767704	+	0.172429i
$630$	−6.00028	+	5.13099i	−0.239057	+	0.204424i
$631$	8.57373	−	0.901135i	0.341315	−	0.0358736i	0.0676794	−	0.997707i	$-0.478440\pi$
$631$	8.57373	−	0.901135i	0.341315	−	0.0358736i	0.273635	+	0.961833i	$0.411774\pi$
$632$	0.662182	+	0.596231i	0.0263402	+	0.0237168i
$633$	−13.5119	+	14.7125i	−0.537049	+	0.584768i
$634$	−2.95199	+	28.0863i	−0.117239	+	1.11545i
$635$	−17.9275	+	7.85587i	−0.711430	+	0.311751i
$636$	−1.66291	+	7.46129i	−0.0659388	+	0.295859i
$637$	−3.52695	+	33.5567i	−0.139743	+	1.32957i
$638$	−1.12841	−	1.25323i	−0.0446743	−	0.0496158i
$639$	−33.3524	−	20.1422i	−1.31940	−	0.796812i
$640$	−1.50596	+	1.65290i	−0.0595285	+	0.0653365i
$641$	−39.7915	−	8.45795i	−1.57167	−	0.334069i	−0.662035	−	0.749473i	$-0.730307\pi$
$641$	−39.7915	−	8.45795i	−1.57167	−	0.334069i	−0.909637	+	0.415404i	$0.863640\pi$
$642$	−0.280896	−	0.497784i	−0.0110861	−	0.0196460i
$643$	19.6614	+	14.2849i	0.775371	+	0.563340i	0.903586	−	0.428406i	$-0.140925\pi$
$643$	19.6614	+	14.2849i	0.775371	+	0.563340i	−0.128215	+	0.991746i	$0.540925\pi$
$644$	−0.0166235	−	0.00740125i	−0.000655057	−	0.000291650i
$645$	26.0782	+	5.97324i	1.02683	+	0.235196i
$646$	18.5714	+	10.7222i	0.730683	+	0.421860i
$647$	9.75108	+	13.4212i	0.383354	+	0.527642i	0.956469	−	0.291833i	$-0.0942652\pi$
$647$	9.75108	+	13.4212i	0.383354	+	0.527642i	−0.573115	+	0.819475i	$0.694265\pi$
$648$	7.48385	−	4.99919i	0.293994	−	0.196387i
$649$	−2.29793	+	0.746643i	−0.0902017	+	0.0293083i
$650$	3.49183	−	29.8430i	0.136961	−	1.17054i
$651$	−3.09618	−	10.9192i	−0.121349	−	0.427959i
$652$			4.78051i			0.187219i
$653$	−4.47881	−	13.7844i	−0.175270	−	0.539424i	0.824376	−	0.566042i	$-0.191526\pi$
$653$	−4.47881	−	13.7844i	−0.175270	−	0.539424i	−0.999646	+	0.0266182i	$0.991526\pi$
$654$	−6.98304	−	22.2343i	−0.273058	−	0.869431i
$655$	6.92455	−	31.6611i	0.270564	−	1.23710i
$656$	−5.29506	−	3.05710i	−0.206737	−	0.119360i
$657$	30.3510	+	35.0735i	1.18411	+	1.36835i
$658$	0.495544	−	1.11301i	0.0193183	−	0.0433897i
$659$	−24.2551	+	33.3843i	−0.944846	+	1.30047i	0.00893322	+	0.999960i	$0.497156\pi$
$659$	−24.2551	+	33.3843i	−0.944846	+	1.30047i	−0.953779	+	0.300509i	$0.902844\pi$
$660$	0.258648	−	0.755400i	0.0100679	−	0.0294039i
$661$	−21.1809	−	4.50213i	−0.823840	−	0.175113i	−0.223343	−	0.974740i	$-0.571697\pi$
$661$	−21.1809	−	4.50213i	−0.823840	−	0.175113i	−0.600497	+	0.799627i	$0.705030\pi$
$662$	23.9756	−	2.51994i	0.931840	−	0.0979403i
$663$	17.2193	−	23.2160i	0.668742	−	0.901636i
$664$	−7.71300	+	6.94482i	−0.299322	+	0.269511i
$665$	−11.8479	−	16.5105i	−0.459442	−	0.640249i
$666$	−0.634604	+	5.07426i	−0.0245904	+	0.196623i
$667$	0.120284	+	0.0390826i	0.00465741	+	0.00151328i
$668$	−5.01970	−	0.527592i	−0.194218	−	0.0204131i
$669$	14.5608	−	15.8545i	0.562952	−	0.612971i
$670$	−0.0788704	+	13.4161i	−0.00304703	+	0.518308i
$671$	1.51949	−	0.159705i	0.0586592	−	0.00616534i
$672$	2.02511	+	0.233034i	0.0781202	+	0.00898949i
$673$	32.6329	−	14.5291i	1.25791	−	0.560056i	0.333964	−	0.942586i	$-0.391614\pi$
$673$	32.6329	−	14.5291i	1.25791	−	0.560056i	0.923943	+	0.382530i	$0.124947\pi$
$674$	18.0576	+	13.1196i	0.695551	+	0.505348i
$675$	25.1683	+	6.44646i	0.968728	+	0.248124i
$676$	−11.5559	−	20.0154i	−0.444458	−	0.769825i
$677$	15.2715	+	8.81703i	0.586933	+	0.338866i	0.763884	−	0.645354i	$-0.223290\pi$
$677$	15.2715	+	8.81703i	0.586933	+	0.338866i	−0.176951	+	0.984220i	$0.556623\pi$
$678$	2.20222	+	2.49480i	0.0845759	+	0.0958121i
$679$	9.09549	−	1.93331i	0.349053	−	0.0741934i
$680$	−5.35940	−	3.13640i	−0.205524	−	0.120276i
$681$	−0.267837	−	2.81470i	−0.0102636	−	0.107860i
$682$	0.831173	+	0.791650i	0.0318273	+	0.0303138i
$683$	−25.9210			−0.991838			−0.495919	−	0.868369i	$-0.665169\pi$
$683$	−25.9210			−0.991838			−0.495919	+	0.868369i	$0.665169\pi$
$684$	11.1856	+	20.2866i	0.427692	+	0.775677i
$685$	−0.232431	+	0.315991i	−0.00888073	+	0.0120734i
$686$	−8.72661	−	12.0112i	−0.333184	−	0.458588i
$687$	0.921825	−	2.01676i	0.0351698	−	0.0769441i
$688$	−3.45387	−	5.98227i	−0.131677	−	0.228072i
$689$	−10.7874	+	24.2290i	−0.410968	+	0.923050i
$690$	0.0115274	+	0.0587617i	0.000438840	+	0.00223702i
$691$	−14.3859	+	6.40500i	−0.547264	+	0.243658i	−0.661695	−	0.749774i	$-0.730162\pi$
$691$	−14.3859	+	6.40500i	−0.547264	+	0.243658i	0.114430	+	0.993431i	$0.463496\pi$
$692$	−22.0277	−	4.68212i	−0.837366	−	0.177988i
$693$	−0.696566	+	0.211253i	−0.0264604	+	0.00802485i
$694$	−11.9548	−	10.7642i	−0.453798	−	0.408602i
$695$	37.7982	+	4.19755i	1.43377	+	0.159222i
$696$	−14.1675	−	0.139538i	−0.537017	−	0.00528917i
$697$	5.24695	−	16.1485i	0.198742	−	0.611666i
$698$	−3.73033	+	11.4808i	−0.141195	+	0.434554i
$699$	−41.4649	−	0.408395i	−1.56835	−	0.0154469i
$700$	3.40265	+	4.80105i	0.128608	+	0.181462i
$701$	−19.1328	−	17.2272i	−0.722636	−	0.650664i	0.223400	−	0.974727i	$-0.428284\pi$
$701$	−19.1328	−	17.2272i	−0.722636	−	0.650664i	−0.946036	+	0.324063i	$0.894951\pi$
$702$	28.8885	−	11.8522i	1.09033	−	0.447333i
$703$	−12.8752	−	2.73672i	−0.485599	−	0.103217i
$704$	−0.188336	+	0.0838528i	−0.00709820	+	0.00316032i
$705$	−3.93433	+	0.771805i	−0.148175	+	0.0290679i
$706$	6.05472	−	13.5991i	0.227872	−	0.511810i
$707$	−5.39767	−	9.34904i	−0.203000	−	0.351607i
$708$	−8.43883	+	18.4624i	−0.317151	+	0.693859i
$709$	−1.28336	−	1.76639i	−0.0481976	−	0.0663383i	0.784238	−	0.620460i	$-0.213054\pi$
$709$	−1.28336	−	1.76639i	−0.0481976	−	0.0663383i	−0.832436	+	0.554122i	$0.813054\pi$
$710$	−17.2077	+	23.3940i	−0.645795	+	0.877960i
$711$	−2.34090	+	1.29072i	−0.0877907	+	0.0484059i
$712$	−1.47960			−0.0554503
$713$	−0.0836698	−	0.0202494i	−0.00313346	−	0.000758345i
$714$	0.536254	+	5.63549i	0.0200688	+	0.210903i
$715$	1.39919	−	2.39089i	0.0523267	−	0.0894144i
$716$	−15.6089	+	3.31778i	−0.583333	+	0.123991i
$717$	4.21338	+	4.77314i	0.157352	+	0.178256i
$718$	−21.4527	−	12.3857i	−0.800609	−	0.462232i
$719$	−4.71820	−	8.17216i	−0.175959	−	0.304770i	0.764534	−	0.644584i	$-0.222969\pi$
$719$	−4.71820	−	8.17216i	−0.175959	−	0.304770i	−0.940493	+	0.339814i	$0.889636\pi$
$720$	−3.20444	−	5.89335i	−0.119422	−	0.219632i
$721$	7.27056	+	5.28237i	0.270770	+	0.196726i
$722$	−37.1167	+	16.5254i	−1.38134	+	0.615012i
$723$	−36.4795	−	4.19779i	−1.35669	−	0.156117i
$724$	−21.9431	+	2.30631i	−0.815508	+	0.0857133i
$725$	−27.0082	−	30.7143i	−1.00306	−	1.14070i
$726$	−12.8377	+	13.9783i	−0.476451	+	0.518785i
$727$	36.3720	+	3.82285i	1.34896	+	0.141782i	0.751298	−	0.659963i	$-0.229428\pi$
$727$	36.3720	+	3.82285i	1.34896	+	0.141782i	0.597666	+	0.801745i	$0.296095\pi$
$728$	6.72628	+	2.18550i	0.249293	+	0.0810001i
$729$	6.81235	+	26.1265i	0.252309	+	0.967647i
$730$	28.0879	−	20.1558i	1.03958	−	0.746001i
$731$	14.2559	−	12.8360i	0.527273	−	0.474758i
$732$	7.64690	−	10.3100i	0.282638	−	0.381068i
$733$	−35.4658	+	3.72761i	−1.30996	+	0.137682i	−0.733638	−	0.679541i	$-0.762179\pi$
$733$	−35.4658	+	3.72761i	−1.30996	+	0.137682i	−0.576321	+	0.817223i	$0.695512\pi$
$734$	−30.0752	−	6.39267i	−1.11009	−	0.235958i
$735$	−7.04442	+	20.5737i	−0.259837	+	0.758874i
$736$	0.00908797	−	0.0125085i	0.000334987	−	0.000461070i
$737$	−0.503113	+	1.13001i	−0.0185324	+	0.0416245i
$738$	13.8703	−	12.0027i	0.510573	−	0.441827i
$739$	−1.95144	−	1.12666i	−0.0717848	−	0.0414449i	0.463678	−	0.886004i	$-0.346529\pi$
$739$	−1.95144	−	1.12666i	−0.0717848	−	0.0414449i	−0.535463	+	0.844559i	$0.679863\pi$
$740$	3.72358	+	0.814378i	0.136881	+	0.0299371i
$741$	24.0829	+	76.6810i	0.884706	+	2.81695i
$742$	−1.60511	−	4.94004i	−0.0589256	−	0.181354i
$743$		−	34.7128i		−	1.27349i	−0.771075	−	0.636744i	$-0.780281\pi$
$743$		−	34.7128i		−	1.27349i	0.771075	−	0.636744i	$-0.219719\pi$
$744$	9.62210	−	0.644302i	0.352763	−	0.0236213i
$745$	35.7725	−	31.8309i	1.31060	−	1.16619i
$746$	−6.46243	+	2.09977i	−0.236606	+	0.0768781i
$747$	−12.1017	−	28.6886i	−0.442777	−	1.04966i
$748$	−0.336517	−	0.463176i	−0.0123043	−	0.0169354i
$749$	0.336343	+	0.194188i	0.0122897	+	0.00709547i
$750$	6.48796	−	18.2457i	0.236907	−	0.666240i
$751$	20.2683	+	9.02402i	0.739600	+	0.329291i	0.741723	−	0.670707i	$-0.234009\pi$
$751$	20.2683	+	9.02402i	0.739600	+	0.329291i	−0.00212288	+	0.999998i	$0.500676\pi$
$752$	0.837496	+	0.608476i	0.0305403	+	0.0221889i
$753$	14.3512	+	25.4322i	0.522987	+	0.926802i
$754$	−48.0820	−	10.2201i	−1.75104	−	0.372195i
$755$	−2.57082	−	2.34229i	−0.0935619	−	0.0852447i
$756$	−2.65132	+	5.51079i	−0.0964276	+	0.200425i
$757$	−9.09761	−	10.1039i	−0.330658	−	0.367233i	0.554774	−	0.832001i	$-0.312805\pi$
$757$	−9.09761	−	10.1039i	−0.330658	−	0.367233i	−0.885433	+	0.464768i	$0.846138\pi$
$758$	−0.352117	+	3.35017i	−0.0127895	+	0.121684i
$759$	−0.00120100	+	0.00538873i	−4.35935e−5	+	0.000195598i
$760$	15.8151	−	6.93023i	0.573675	−	0.251386i
$761$	−2.92226	+	27.8034i	−0.105932	+	1.00787i	0.804427	+	0.594052i	$0.202473\pi$
$761$	−2.92226	+	27.8034i	−0.105932	+	1.00787i	−0.910358	+	0.413821i	$0.864194\pi$
$762$	−10.2554	+	11.1666i	−0.371513	+	0.404523i
$763$	11.7681	+	10.5961i	0.426035	+	0.383604i
$764$	1.38366	−	0.145429i	0.0500591	−	0.00526143i
$765$	14.1583	−	12.1072i	0.511896	−	0.437735i
$766$	−4.26026	−	9.56870i	−0.153929	−	0.345731i
$767$	−41.3971	+	56.9783i	−1.49476	+	2.05737i
$768$	−0.551431	+	1.64193i	−0.0198980	+	0.0592479i
$769$	−11.1407	−	19.2962i	−0.401743	−	0.695840i	0.592193	−	0.805796i	$-0.298262\pi$
$769$	−11.1407	−	19.2962i	−0.401743	−	0.695840i	−0.993936	+	0.109956i	$0.964929\pi$
$770$	0.109679	+	0.531340i	0.00395256	+	0.0191482i
$771$	15.8594	+	17.9663i	0.571161	+	0.647042i
$772$	−1.77621	−	8.35640i	−0.0639271	−	0.300754i
$773$	−0.297655	+	0.0967140i	−0.0107059	+	0.00347856i	−0.314365	−	0.949302i	$-0.601792\pi$
$773$	−0.297655	+	0.0967140i	−0.0107059	+	0.00347856i	0.303659	+	0.952781i	$0.401792\pi$
$774$	20.3513	−	3.90851i	0.731512	−	0.140488i
$775$	19.9313	+	19.4356i	0.715955	+	0.698147i
$776$			7.90092i			0.283626i
$777$	−1.38198	−	3.18812i	−0.0495784	−	0.114373i
$778$	−1.16536	+	0.247706i	−0.0417804	+	0.00888069i
$779$	27.7516	+	38.1968i	0.994305	+	1.36854i
$780$	−6.84305	−	22.2452i	−0.245020	−	0.796507i
$781$	−2.31879	+	1.33876i	−0.0829730	+	0.0479045i
$782$	0.0392250	+	0.0174641i	0.00140268	+	0.000624515i
$783$	14.3231	−	40.0185i	0.511866	−	1.43014i
$784$	5.12945	−	2.28378i	0.183195	−	0.0815635i
$785$	−37.6954	+	21.4690i	−1.34541	+	0.766261i
$786$	−4.97737	−	24.6059i	−0.177537	−	0.877663i
$787$	−19.7987	+	21.9887i	−0.705747	+	0.783811i	−0.984280	−	0.176616i	$-0.943485\pi$
$787$	−19.7987	+	21.9887i	−0.705747	+	0.783811i	0.278533	+	0.960427i	$0.410152\pi$
$788$	3.23565	−	2.91339i	0.115265	−	0.103785i
$789$	0.0801636	−	8.13913i	0.00285390	−	0.289761i
$790$	0.799691	+	1.82493i	0.0284517	+	0.0649282i
$791$	−2.15049	−	0.698737i	−0.0764627	−	0.0248442i
$792$	−0.0525211	−	0.616245i	−0.00186626	−	0.0218973i
$793$	33.0962	−	29.7999i	1.17528	−	1.05823i
$794$	−16.7420	−	15.0746i	−0.594152	−	0.534977i
$795$	−10.2634	+	13.6690i	−0.364006	+	0.484791i
$796$	4.01616	−	18.8945i	0.142349	−	0.669699i
$797$	6.49345	+	14.5845i	0.230010	+	0.516610i	0.991272	−	0.131834i	$-0.0420866\pi$
$797$	6.49345	+	14.5845i	0.230010	+	0.516610i	−0.761262	+	0.648444i	$0.775420\pi$
$798$	−13.5540	−	8.00441i	−0.479806	−	0.283353i
$799$	−1.16929	+	2.62627i	−0.0413666	+	0.0929109i
$800$	−4.59132	+	1.97984i	−0.162328	+	0.0699979i
$801$	1.45455	−	4.19371i	0.0513938	−	0.148177i
$802$	11.1008	−	8.06517i	0.391981	−	0.284791i
$803$	3.11775	−	0.662699i	0.110023	−	0.0233861i
$804$	4.13319	+	9.53494i	0.145767	+	0.336271i
$805$	−0.0270480	−	0.0303974i	−0.000953318	−	0.00107137i
$806$	33.1641	+	4.42791i	1.16816	+	0.155966i
$807$	−2.50430	−	26.3176i	−0.0881554	−	0.926425i
$808$	8.72367	−	2.83449i	0.306898	−	0.0997170i
$809$	−53.8585	+	11.4480i	−1.89357	+	0.402490i	−0.999011	−	0.0444696i	$-0.985840\pi$
$809$	−53.8585	+	11.4480i	−1.89357	+	0.402490i	−0.894554	+	0.446959i	$0.852507\pi$
$810$	19.8540	−	3.28894i	0.697600	−	0.115562i
$811$	−22.6404	+	39.2143i	−0.795012	+	1.37700i	0.127819	+	0.991798i	$0.459202\pi$
$811$	−22.6404	+	39.2143i	−0.795012	+	1.37700i	−0.922831	+	0.385204i	$0.874131\pi$
$812$	8.33734	−	4.81356i	0.292583	−	0.168923i
$813$	−12.0374	−	4.04269i	−0.422171	−	0.141783i
$814$	0.284304	+	0.206559i	0.00996485	+	0.00723989i
$815$	−4.40516	+	9.73965i	−0.154306	+	0.341165i
$816$	−4.77847	−	0.549871i	−0.167280	−	0.0192493i
$817$	5.57571	+	53.0493i	0.195069	+	1.85596i
$818$	−14.0540	−	12.6542i	−0.491385	−	0.442445i
$819$	−12.8069	+	16.9162i	−0.447509	+	0.591099i
$820$	−7.97091	−	11.1077i	−0.278356	−	0.387899i
$821$	−8.05875	+	24.8023i	−0.281252	+	0.865606i	0.706245	+	0.707968i	$0.250388\pi$
$821$	−8.05875	+	24.8023i	−0.281252	+	0.865606i	−0.987497	+	0.157638i	$0.949612\pi$
$822$	−0.0660979	+	0.296573i	−0.00230543	+	0.0103442i
$823$	1.58836	−	15.1122i	0.0553667	−	0.526779i	−0.931326	−	0.364186i	$-0.881347\pi$
$823$	1.58836	−	15.1122i	0.0553667	−	0.526779i	0.986693	−	0.162594i	$-0.0519859\pi$
$824$	−5.67466	+	5.10948i	−0.197686	+	0.177997i
$825$	1.22305	−	1.30069i	0.0425811	−	0.0452842i
$826$	−1.44180	−	13.7178i	−0.0501667	−	0.477304i
$827$	8.72234	−	41.0354i	0.303306	−	1.42694i	−0.517476	−	0.855698i	$-0.673128\pi$
$827$	8.72234	−	41.0354i	0.303306	−	1.42694i	0.820781	−	0.571243i	$-0.193539\pi$
$828$	0.0265195	+	0.0380553i	0.000921616	+	0.00132251i
$829$	−3.78369	+	5.20781i	−0.131413	+	0.180875i	−0.869653	−	0.493664i	$-0.835657\pi$
$829$	−3.78369	+	5.20781i	−0.131413	+	0.180875i	0.738240	+	0.674538i	$0.235657\pi$
$830$	−22.1138	+	7.04174i	−0.767580	+	0.244422i
$831$	−8.11787	+	5.77669i	−0.281606	+	0.200391i
$832$	−3.00466	+	5.20422i	−0.104168	+	0.180424i
$833$	9.16524	+	12.6149i	0.317557	+	0.437079i
$834$	28.1049	−	8.82676i	0.973192	−	0.305646i
$835$	−9.74081	−	5.70047i	−0.337095	−	0.197273i
$836$	1.59197			0.0550593
$837$	−7.63300	+	27.9059i	−0.263835	+	0.964568i
$838$			19.2933i			0.666477i
$839$	26.8304	−	8.71773i	0.926288	−	0.300969i	0.193245	−	0.981151i	$-0.438099\pi$
$839$	26.8304	−	8.71773i	0.926288	−	0.300969i	0.733044	+	0.680181i	$0.238099\pi$
$840$	3.91115	+	2.34088i	0.134948	+	0.0807680i
$841$	−30.6717	+	22.2843i	−1.05764	+	0.768424i
$842$	6.68726	−	11.5827i	0.230458	−	0.399166i
$843$	13.4748	+	18.9359i	0.464098	+	0.652188i
$844$	10.5359	+	4.69088i	0.362660	+	0.161467i
$845$	−5.09976	−	51.4274i	−0.175437	−	1.76916i
$846$	−2.54795	+	1.77559i	−0.0876005	+	0.0610460i
$847$	2.68123	−	12.6142i	0.0921282	−	0.433429i
$848$	4.38929	−	0.461333i	0.150729	−	0.0158422i
$849$	−22.9448	+	30.9354i	−0.787462	+	1.06170i
$850$	−8.02893	−	11.3286i	−0.275390	−	0.388568i
$851$	−0.0262110	−	0.00275489i	−0.000898502	−	9.44364e-5i
$852$	−4.89348	+	21.9564i	−0.167648	+	0.752214i
$853$	8.97449	+	2.91599i	0.307281	+	0.0998416i	0.458598	−	0.888644i	$-0.348352\pi$
$853$	8.97449	+	2.91599i	0.307281	+	0.0998416i	−0.151318	+	0.988485i	$0.548352\pi$
$854$	−0.911712	+	8.67436i	−0.0311981	+	0.296831i
$855$	4.09540	+	51.6386i	0.140060	+	1.76600i
$856$	−0.220810	+	0.245235i	−0.00754714	+	0.00838194i
$857$	1.50251	+	14.2954i	0.0513247	+	0.488322i	0.989747	+	0.142831i	$0.0456207\pi$
$857$	1.50251	+	14.2954i	0.0513247	+	0.488322i	−0.938422	+	0.345490i	$0.887713\pi$
$858$	0.245304	−	2.13173i	0.00837454	−	0.0727762i
$859$	5.76729	+	12.9535i	0.196777	+	0.441969i	0.984803	−	0.173673i	$-0.0555635\pi$
$859$	5.76729	+	12.9535i	0.196777	+	0.441969i	−0.788026	+	0.615642i	$0.788897\pi$
$860$	−1.52423	−	15.3708i	−0.0519758	−	0.524139i
$861$	−3.96803	+	11.8151i	−0.135230	+	0.402658i
$862$	−20.5830	+	11.8836i	−0.701059	+	0.404756i
$863$	7.89168	+	4.55627i	0.268636	+	0.155097i	0.628268	−	0.777997i	$-0.283764\pi$
$863$	7.89168	+	4.55627i	0.268636	+	0.155097i	−0.359632	+	0.933094i	$0.617098\pi$
$864$	−4.11171	−	3.17708i	−0.139883	−	0.108086i
$865$	−40.5639	−	29.8373i	−1.37922	−	1.01450i
$866$	0.170445	+	0.524575i	0.00579195	+	0.0178258i
$867$	1.52392	+	16.0149i	0.0517550	+	0.543894i
$868$	−5.40709	+	3.70164i	−0.183529	+	0.125642i
$869$			0.183699i			0.00623158i
$870$	−28.7358	−	13.3394i	−0.974234	−	0.452248i
$871$	7.49638	+	35.2677i	0.254005	+	1.19500i
$872$	−10.8855	+	7.90878i	−0.368629	+	0.267825i
$873$	−22.3940	−	7.76714i	−0.757923	−	0.262878i
$874$	−0.103397	+	0.0596964i	−0.00349746	+	0.00201926i
$875$	2.50835	+	12.9170i	0.0847979	+	0.436674i
$876$	13.6172	−	23.0583i	0.460084	−	0.779067i
$877$	20.2390	+	45.4576i	0.683424	+	1.53499i	0.837205	+	0.546890i	$0.184188\pi$
$877$	20.2390	+	45.4576i	0.683424	+	1.53499i	−0.153781	+	0.988105i	$0.549145\pi$
$878$	−5.71649	−	1.21508i	−0.192922	−	0.0410069i
$879$	15.8829	−	3.21286i	0.535718	−	0.108367i
$880$	−0.460979	−	0.00271000i	−0.0155396	−	9.13542e-5i
$881$	−2.16868	−	2.40856i	−0.0730647	−	0.0811466i	0.705504	−	0.708706i	$-0.250721\pi$
$881$	−2.16868	−	2.40856i	−0.0730647	−	0.0811466i	−0.778569	+	0.627559i	$0.784054\pi$
$882$	1.43044	+	16.7838i	0.0481654	+	0.565140i
$883$	−4.57836	+	14.0908i	−0.154074	+	0.474192i	−0.998066	−	0.0621646i	$-0.980200\pi$
$883$	−4.57836	+	14.0908i	−0.154074	+	0.474192i	0.843992	+	0.536356i	$0.180200\pi$
$884$	−15.8714	−	5.15694i	−0.533814	−	0.173447i
$885$	−34.2058	+	29.8384i	−1.14982	+	1.00301i
$886$	5.96757	+	6.62765i	0.200484	+	0.222660i
$887$	33.0852	−	36.7449i	1.11089	−	1.23377i	0.141060	−	0.990001i	$-0.454949\pi$
$887$	33.0852	−	36.7449i	1.11089	−	1.23377i	0.969833	−	0.243771i	$-0.0783844\pi$
$888$	2.89383	−	0.585376i	0.0971107	−	0.0196439i
$889$	2.14190	−	10.0768i	0.0718370	−	0.337966i
$890$	−3.01448	−	1.36343i	−0.101046	−	0.0457021i
$891$	1.79829	+	0.456948i	0.0602450	+	0.0153083i
$892$	−11.3537	−	5.05501i	−0.380151	−	0.169254i
$893$	−3.99691	−	6.92286i	−0.133752	−	0.231665i
$894$	15.4192	−	33.7339i	0.515694	−	1.12823i
$895$	−34.8584	−	7.62383i	−1.16519	−	0.254837i
$896$	−0.244694	−	1.15119i	−0.00817464	−	0.0384587i
$897$	0.0640045	+	0.147653i	0.00213705	+	0.00493000i
$898$	−12.3729			−0.412888
$899$	34.6862	−	29.5152i	1.15685	−	0.984387i
$900$	−1.09799	−	14.9598i	−0.0365995	−	0.498659i
$901$	3.78745	+	11.6566i	0.126178	+	0.388337i
$902$	−0.262073	−	1.23296i	−0.00872609	−	0.0410530i
$903$	−10.5567	+	9.31866i	−0.351304	+	0.310105i
$904$	0.960634	−	1.66387i	0.0319502	−	0.0553394i
$905$	−46.8313	−	15.5214i	−1.55673	−	0.515948i
$906$	−2.55376	−	0.857664i	−0.0848430	−	0.0284940i
$907$	3.65033	−	5.02425i	0.121207	−	0.166828i	−0.744102	−	0.668066i	$-0.767122\pi$
$907$	3.65033	−	5.02425i	0.121207	−	0.166828i	0.865309	+	0.501239i	$0.167122\pi$
$908$	−1.49128	+	0.663961i	−0.0494899	+	0.0220343i
$909$	−0.542003	+	27.5125i	−0.0179771	+	0.912531i
$910$	11.6900	+	10.6508i	0.387520	+	0.353072i
$911$	−34.2350	+	38.0218i	−1.13426	+	1.25972i	−0.172741	+	0.984967i	$0.555262\pi$
$911$	−34.2350	+	38.0218i	−1.13426	+	1.25972i	−0.961515	+	0.274751i	$0.911404\pi$
$912$	9.04701	−	9.85086i	0.299576	−	0.326195i
$913$	−2.12798	−	0.223660i	−0.0704260	−	0.00740207i
$914$	−10.8500	+	33.3928i	−0.358886	+	1.10454i
$915$	25.0800	−	13.9587i	0.829120	−	0.461461i
$916$	−1.27323	−	0.133822i	−0.0420687	−	0.00442160i
$917$	11.4141	+	12.6766i	0.376927	+	0.418619i
$918$	6.25609	−	13.0033i	0.206482	−	0.429174i
$919$	3.60093	+	34.2606i	0.118784	+	1.13015i	0.877782	+	0.479060i	$0.159022\pi$
$919$	3.60093	+	34.2606i	0.118784	+	1.13015i	−0.758999	+	0.651092i	$0.774311\pi$
$920$	0.0300419	−	0.0171100i	0.000990453	−	0.000564101i
$921$	45.0091	−	25.3983i	1.48310	−	0.836903i
$922$	−17.2230	−	12.5132i	−0.567209	−	0.412102i
$923$	−31.7443	+	71.2988i	−1.04488	+	2.34683i
$924$	0.243657	+	0.342406i	0.00801572	+	0.0112643i
$925$	6.83586	+	5.09040i	0.224762	+	0.167371i
$926$	−5.37715	+	3.90673i	−0.176704	+	0.128383i
$927$	−8.90352	−	21.1070i	−0.292430	−	0.693244i
$928$	2.52776	+	7.77964i	0.0829777	+	0.255379i
$929$	11.5052			0.377475			0.188737	−	0.982028i	$-0.439560\pi$
$929$	11.5052			0.377475			0.188737	+	0.982028i	$0.439560\pi$
$930$	20.1975	+	7.55393i	0.662301	+	0.247703i
$931$	−43.3581			−1.42100
$932$	7.39816	+	22.7692i	0.242335	+	0.745830i
$933$	−28.8273	+	9.05367i	−0.943765	+	0.296404i
$934$	33.8908	−	24.6231i	1.10894	−	0.805693i
$935$	−0.258800	−	1.25376i	−0.00846367	−	0.0410022i
$936$	−11.7968	−	13.6324i	−0.385591	−	0.445588i
$937$	21.3038	−	47.8491i	0.695965	−	1.56316i	−0.124983	−	0.992159i	$-0.539888\pi$
$937$	21.3038	−	47.8491i	0.695965	−	1.56316i	0.820948	−	0.571004i	$-0.193446\pi$
$938$	−5.71281	−	4.15060i	−0.186530	−	0.135522i
$939$	10.7682	+	19.0827i	0.351407	+	0.622739i
$940$	1.14559	+	2.01143i	0.0373649	+	0.0656056i
$941$	−2.85770	−	27.1892i	−0.0931585	−	0.886344i	−0.936901	−	0.349595i	$-0.886319\pi$
$941$	−2.85770	−	27.1892i	−0.0931585	−	0.886344i	0.843742	−	0.536748i	$-0.180348\pi$
$942$	−20.0177	+	26.9890i	−0.652213	+	0.879350i
$943$	0.0632556	+	0.0702525i	0.00205989	+	0.00228774i
$944$	11.6558	+	1.22507i	0.379363	+	0.0398727i
$945$	−10.4798	+	8.78435i	−0.340908	+	0.285755i
$946$	0.440070	−	1.35440i	0.0143079	−	0.0440353i
$947$	−41.1757	−	4.32774i	−1.33803	−	0.140633i	−0.591672	−	0.806178i	$-0.701532\pi$
$947$	−41.1757	−	4.32774i	−1.33803	−	0.140633i	−0.746357	+	0.665546i	$0.768199\pi$
$948$	1.13671	+	1.04395i	0.0369185	+	0.0339059i
$949$	62.1683	−	69.0449i	2.01807	−	2.24129i
$950$	38.6073	+	0.453945i	1.25259	+	0.0147279i
$951$	−5.59186	+	48.5942i	−0.181328	+	1.57578i
$952$	2.98579	−	1.32936i	0.0967699	−	0.0430847i
$953$	22.3858	−	30.8114i	0.725147	−	0.998079i	−0.274190	−	0.961675i	$-0.588410\pi$
$953$	22.3858	−	30.8114i	0.725147	−	0.998079i	0.999337	−	0.0364036i	$-0.0115902\pi$
$954$	−3.00739	+	12.8943i	−0.0973678	+	0.417469i
$955$	2.95304	+	0.978730i	0.0955581	+	0.0316710i
$956$	1.83792	−	3.18337i	0.0594426	−	0.102958i
$957$	−1.93300	−	2.18980i	−0.0624849	−	0.0707862i
$958$	−0.0818584	−	0.385114i	−0.00264473	−	0.0124425i
$959$	−0.0638005	−	0.196358i	−0.00206023	−	0.00634072i
$960$	−2.63648	+	2.83707i	−0.0850919	+	0.0915662i
$961$	−22.0004	+	21.8399i	−0.709690	+	0.704514i
$962$	10.2434			0.330262
$963$	−0.478011	−	0.866937i	−0.0154037	−	0.0279367i
$964$	4.40782	+	20.7372i	0.141966	+	0.667899i
$965$	4.08150	−	18.6618i	0.131388	−	0.600745i
$966$	−0.0286651	−	0.0131023i	−0.000922284	−	0.000421560i
$967$	−23.6494	−	40.9619i	−0.760513	−	1.31725i	−0.942586	−	0.333962i	$-0.891614\pi$
$967$	−23.6494	−	40.9619i	−0.760513	−	1.31725i	0.182073	−	0.983285i	$-0.441719\pi$
$968$	10.0102	+	4.45682i	0.321739	+	0.143247i
$969$	31.9822	+	18.8873i	1.02742	+	0.606748i
$970$	−7.28057	+	16.0971i	−0.233765	+	0.516846i
$971$	4.35127	−	20.4711i	0.139639	−	0.656949i	−0.851526	−	0.524313i	$-0.824322\pi$
$971$	4.35127	−	20.4711i	0.139639	−	0.656949i	0.991165	−	0.132637i	$-0.0423443\pi$
$972$	13.0471	−	8.53077i	0.418485	−	0.273625i
$973$	−13.3938	+	14.8753i	−0.429384	+	0.476880i
$974$	−1.33581	−	1.48357i	−0.0428021	−	0.0475366i
$975$	6.55681	−	51.6275i	0.209986	−	1.65340i
$976$	−7.04832	−	2.29014i	−0.225611	−	0.0733055i
$977$	8.29428	−	25.5272i	0.265358	−	0.816687i	−0.726253	−	0.687427i	$-0.758740\pi$
$977$	8.29428	−	25.5272i	0.265358	−	0.816687i	0.991611	−	0.129259i	$-0.0412600\pi$
$978$	−0.0815479	+	8.27968i	−0.00260762	+	0.264755i
$979$	−0.204107	−	0.226684i	−0.00652330	−	0.00724486i
$980$	12.5550	+	0.0738085i	0.401056	+	0.00235773i
$981$	−11.7151	−	38.6282i	−0.374034	−	1.23330i
$982$	−15.9514	−	3.39058i	−0.509031	−	0.108198i
$983$	9.78644	+	21.9807i	0.312139	+	0.701075i	0.999686	−	0.0250645i	$-0.00797910\pi$
$983$	9.78644	+	21.9807i	0.312139	+	0.701075i	−0.687547	+	0.726140i	$0.741312\pi$
$984$	−9.11871	−	5.38512i	−0.290694	−	0.171671i
$985$	9.27686	−	2.95405i	0.295585	−	0.0941240i
$986$	−19.6729	+	11.3582i	−0.626513	+	0.361717i
$987$	0.877252	−	1.91924i	0.0279232	−	0.0610902i
$988$	37.5415	−	27.2755i	1.19436	−	0.867750i
$989$	0.0222056	+	0.104469i	0.000706097	+	0.00332193i
$990$	0.460855	−	1.30392i	0.0146469	−	0.0414412i
$991$			21.7920i			0.692246i	0.938189	+	0.346123i	$0.112502\pi$
$991$			21.7920i			0.692246i	−0.938189	+	0.346123i	$0.887498\pi$
$992$	−2.12127	−	5.14783i	−0.0673505	−	0.163444i
$993$	41.5680	−	3.95547i	1.31912	−	0.125523i
$994$	−4.72339	−	14.5371i	−0.149817	−	0.461089i
$995$	25.5934	−	34.7943i	0.811365	−	1.10305i
$996$	−13.4771	+	11.8966i	−0.427039	+	0.376959i
$997$	0.470188	+	0.271463i	0.0148910	+	0.00859732i	0.507427	−	0.861695i	$-0.330597\pi$
$997$	0.470188	+	0.271463i	0.0148910	+	0.00859732i	−0.492536	+	0.870292i	$0.663930\pi$
$998$	−30.0473	+	17.3478i	−0.951130	+	0.549135i
$999$	−1.18567	+	8.77762i	−0.0375130	+	0.277712i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bo.b.179.14	yes	256
3.2	odd	2		930.2.bo.a.179.18	✓	256
5.4	even	2		930.2.bo.a.179.19	yes	256
15.14	odd	2	inner	930.2.bo.b.179.15	yes	256
31.22	odd	30	inner	930.2.bo.b.239.15	yes	256
93.53	even	30		930.2.bo.a.239.19	yes	256
155.84	odd	30		930.2.bo.a.239.18	yes	256
465.239	even	30	inner	930.2.bo.b.239.14	yes	256

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bo.a.179.18	✓	256	3.2	odd	2
930.2.bo.a.179.19	yes	256	5.4	even	2
930.2.bo.a.239.18	yes	256	155.84	odd	30
930.2.bo.a.239.19	yes	256	93.53	even	30
930.2.bo.b.179.14	yes	256	1.1	even	1	trivial
930.2.bo.b.179.15	yes	256	15.14	odd	2	inner
930.2.bo.b.239.14	yes	256	465.239	even	30	inner
930.2.bo.b.239.15	yes	256	31.22	odd	30	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:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bo (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.309017 - 0.951057i) q^{2} +(-0.518984 - 1.65247i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.18990 + 0.452039i) q^{5} +(-1.41122 + 1.00422i) q^{6} +(0.478693 - 1.07516i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-2.46131 + 1.71521i) q^{9} +O(q^{10})\)	\(q+(-0.309017 - 0.951057i) q^{2} +(-0.518984 - 1.65247i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.18990 + 0.452039i) q^{5} +(-1.41122 + 1.00422i) q^{6} +(0.478693 - 1.07516i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-2.46131 + 1.71521i) q^{9} +(1.10663 + 1.94303i) q^{10} +(0.0215496 + 0.205030i) q^{11} +(1.39116 + 1.03183i) q^{12} +(4.02101 + 4.46579i) q^{13} +(-1.17046 - 0.123021i) q^{14} +(1.88350 + 3.38414i) q^{15} +(0.309017 - 0.951057i) q^{16} +(2.76184 + 0.290281i) q^{17} +(2.39185 + 1.81082i) q^{18} +(-5.16703 + 5.73856i) q^{19} +(1.50596 - 1.65290i) q^{20} +(-2.02511 - 0.233034i) q^{21} +(0.188336 - 0.0838528i) q^{22} +(-0.00908797 + 0.0125085i) q^{23} +(0.551431 - 1.64193i) q^{24} +(4.59132 - 1.97984i) q^{25} +(3.00466 - 5.20422i) q^{26} +(4.11171 + 3.17708i) q^{27} +(0.244694 + 1.15119i) q^{28} +(-2.52776 - 7.77964i) q^{29} +(2.63648 - 2.83707i) q^{30} +(2.12127 + 5.14783i) q^{31} -1.00000 q^{32} +(0.327623 - 0.142017i) q^{33} +(-0.577382 - 2.71637i) q^{34} +(-0.562275 + 2.57089i) q^{35} +(0.983068 - 2.83436i) q^{36} +(0.852298 + 1.47622i) q^{37} +(7.05440 + 3.14082i) q^{38} +(5.29274 - 8.96228i) q^{39} +(-2.03737 - 0.921484i) q^{40} +(1.27121 - 5.98059i) q^{41} +(0.404164 + 1.99800i) q^{42} +(4.62218 - 5.13345i) q^{43} +(-0.137948 - 0.153207i) q^{44} +(4.61469 - 4.86875i) q^{45} +(0.0147046 + 0.00477783i) q^{46} +(-0.319895 + 0.984536i) q^{47} +(-1.73197 - 0.0170584i) q^{48} +(3.75709 + 4.17267i) q^{49} +(-3.30174 - 3.75480i) q^{50} +(-0.953670 - 4.71451i) q^{51} +(-5.87799 - 1.24941i) q^{52} +(1.79512 + 4.03190i) q^{53} +(1.75099 - 4.89224i) q^{54} +(-0.139873 - 0.439255i) q^{55} +(1.01924 - 0.588456i) q^{56} +(12.1644 + 5.56013i) q^{57} +(-6.61775 + 4.80808i) q^{58} +(2.43672 + 11.4639i) q^{59} +(-3.51293 - 1.63073i) q^{60} -7.41104i q^{61} +(4.24037 - 3.60822i) q^{62} +(0.665916 + 3.46737i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-10.8243 - 7.96198i) q^{65} +(-0.236308 - 0.267702i) q^{66} +(5.19611 + 2.99998i) q^{67} +(-2.40500 + 1.38853i) q^{68} +(0.0253865 + 0.00852588i) q^{69} +(2.61881 - 0.259692i) q^{70} +(5.28252 + 11.8647i) q^{71} +(-2.99942 - 0.0590893i) q^{72} +(-1.61610 - 15.3761i) q^{73} +(1.14060 - 1.26676i) q^{74} +(-5.65444 - 6.55952i) q^{75} +(0.807169 - 7.67970i) q^{76} +(0.230757 + 0.0749774i) q^{77} +(-10.1592 - 2.26420i) q^{78} +(0.886172 + 0.0931405i) q^{79} +(-0.246802 + 2.22241i) q^{80} +(3.11611 - 8.44333i) q^{81} +(-6.08071 + 0.639108i) q^{82} +(-2.15789 + 10.1521i) q^{83} +(1.77532 - 1.00180i) q^{84} +(-6.17938 + 0.612773i) q^{85} +(-6.31053 - 2.80963i) q^{86} +(-11.5437 + 8.21455i) q^{87} +(-0.103080 + 0.178540i) q^{88} +(-1.19702 + 0.869686i) q^{89} +(-6.05647 - 2.88430i) q^{90} +(6.72628 - 2.18550i) q^{91} -0.0154614i q^{92} +(7.40573 - 6.17698i) q^{93} +1.03520 q^{94} +(8.72121 - 14.9026i) q^{95} +(0.518984 + 1.65247i) q^{96} +(4.64404 + 6.39198i) q^{97} +(2.80744 - 4.86263i) q^{98} +(-0.404710 - 0.467682i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9}+O(q^{10}) \) 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9	\( 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9} - 2 q^{10} - 10 q^{15} - 64 q^{16} + 6 q^{17} + 6 q^{18} - 4 q^{19} - 3 q^{20} - 20 q^{23} - 2 q^{25} + 42 q^{31} - 256 q^{32} - 8 q^{33} + 14 q^{34} + 16 q^{35} + 4 q^{36} - 36 q^{38} + 8 q^{39} + 3 q^{40} + 55 q^{45} - 10 q^{46} + 6 q^{47} - 40 q^{49} + 7 q^{50} + 68 q^{51} + 34 q^{53} + 6 q^{57} + 10 q^{60} - 2 q^{62} + 72 q^{63} - 64 q^{64} + 8 q^{66} + 6 q^{68} + 10 q^{69} - 16 q^{70} + 6 q^{72} - 80 q^{75} - 24 q^{76} - 100 q^{77} - 8 q^{78} + 40 q^{79} + 2 q^{80} + 12 q^{81} + 26 q^{83} - 30 q^{85} - 16 q^{87} - 25 q^{90} - 20 q^{91} + 22 q^{93} + 4 q^{94} - 56 q^{95} - 130 q^{98} + 102 q^{99}+O(q^{100}) \) 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9 - 2 * q^10 - 10 * q^15 - 64 * q^16 + 6 * q^17 + 6 * q^18 - 4 * q^19 - 3 * q^20 - 20 * q^23 - 2 * q^25 + 42 * q^31 - 256 * q^32 - 8 * q^33 + 14 * q^34 + 16 * q^35 + 4 * q^36 - 36 * q^38 + 8 * q^39 + 3 * q^40 + 55 * q^45 - 10 * q^46 + 6 * q^47 - 40 * q^49 + 7 * q^50 + 68 * q^51 + 34 * q^53 + 6 * q^57 + 10 * q^60 - 2 * q^62 + 72 * q^63 - 64 * q^64 + 8 * q^66 + 6 * q^68 + 10 * q^69 - 16 * q^70 + 6 * q^72 - 80 * q^75 - 24 * q^76 - 100 * q^77 - 8 * q^78 + 40 * q^79 + 2 * q^80 + 12 * q^81 + 26 * q^83 - 30 * q^85 - 16 * q^87 - 25 * q^90 - 20 * q^91 + 22 * q^93 + 4 * q^94 - 56 * q^95 - 130 * q^98 + 102 * q^99

Introduction

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