LMFDB - Embedded newform 930.2.bo.a.179.19

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			179.19
Character	$\chi$	$=$	930.179
Dual form			930.2.bo.a.239.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.309017 + 0.951057i) q^{2} +(0.518984 + 1.65247i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.703473 - 2.12253i) q^{5} +(-1.41122 + 1.00422i) q^{6} +(-0.478693 + 1.07516i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(-2.46131 + 1.71521i) q^{9} +O(q^{10})$	\(q+(0.309017 + 0.951057i) q^{2} +(0.518984 + 1.65247i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.703473 - 2.12253i) 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} +(1.80126 - 1.32494i) 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} +(3.14232 - 2.26402i) 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} +(1.81671 + 1.30367i) 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} +(-4.01025 + 2.98628i) 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} +(3.12425 + 2.28890i) q^{30} +(2.12127 + 5.14783i) q^{31} +1.00000 q^{32} +(-0.327623 + 0.142017i) q^{33} +(-0.577382 - 2.71637i) q^{34} +(2.61881 + 0.259692i) 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} +(-0.678469 + 2.13065i) 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} +(5.37205 + 4.01760i) 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} +(-4.07936 - 2.89116i) 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} +(0.420023 - 0.189973i) 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} +(-1.21143 + 3.67865i) q^{60} -7.41104i q^{61} +(-4.24037 + 3.60822i) q^{62} +(-0.665916 - 3.46737i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-6.65009 + 11.6763i) 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} +(0.562275 + 2.57089i) 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} +(-7.01600 - 5.07699i) 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} +(-2.23603 + 0.0131452i) 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} +(1.32675 + 6.06630i) 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} +(-2.16091 + 6.35063i) q^{90} +(6.72628 - 2.18550i) q^{91} +0.0154614i q^{92} +(-7.40573 + 6.17698i) q^{93} +1.03520 q^{94} +(15.8151 + 6.93023i) 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} + 20 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} - 79 q^{45} - 10 q^{46} - 6 q^{47} - 40 q^{49} - 7 q^{50} + 68 q^{51} - 34 q^{53} - 6 q^{57} - 20 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} - 2 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} - 49 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 + 20 * 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 - 79 * q^45 - 10 * q^46 - 6 * q^47 - 40 * q^49 - 7 * q^50 + 68 * q^51 - 34 * q^53 - 6 * q^57 - 20 * 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 - 2 * 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 - 49 * 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
$5$	−0.703473	−	2.12253i	−0.314603	−	0.949223i
$5$	−0.703473	−	2.12253i	−0.314603	−	0.949223i
$6$	−1.41122	+	1.00422i	−0.576127	+	0.409973i
$7$	−0.478693	+	1.07516i	−0.180929	+	0.406373i	−0.981127	−	0.193362i	$-0.938061\pi$
$7$	−0.478693	+	1.07516i	−0.180929	+	0.406373i	0.800198	+	0.599735i	$0.204727\pi$
$8$	−0.809017	−	0.587785i	−0.286031	−	0.207813i
$9$	−2.46131	+	1.71521i	−0.820437	+	0.571736i
$10$	1.80126	−	1.32494i	0.569608	−	0.418983i
$11$	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	$-0.919758\pi$
$13$	−4.02101	−	4.46579i	−1.11523	−	1.23859i	−0.146835	−	0.989161i	$-0.546909\pi$
$14$	−1.17046	−	0.123021i	−0.312820	−	0.0328787i
$15$	3.14232	−	2.26402i	0.811344	−	0.584569i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	−2.76184	−	0.290281i	−0.669845	−	0.0704036i	−0.236500	−	0.971631i	$-0.576000\pi$
$17$	−2.76184	−	0.290281i	−0.669845	−	0.0704036i	−0.433345	+	0.901228i	$0.642667\pi$
$18$	−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	$0.886962\pi$
$20$	1.81671	+	1.30367i	0.406229	+	0.291510i
$21$	−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	−0.808068	−	0.589089i	$-0.799487\pi$
$23$	0.00908797	−	0.0125085i	0.00189497	−	0.00260821i	0.809963	+	0.586480i	$0.199487\pi$
$24$	0.551431	−	1.64193i	0.112560	−	0.335157i
$25$	−4.01025	+	2.98628i	−0.802050	+	0.597256i
$26$	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	$-0.374553\pi$
$30$	3.12425	+	2.28890i	0.570407	+	0.417895i
$31$	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
$35$	2.61881	+	0.259692i	0.442660	+	0.0438960i
$36$	0.983068	−	2.83436i	0.163845	−	0.472393i
$37$	−0.852298	−	1.47622i	−0.140117	−	0.242690i	0.787424	−	0.616412i	$-0.211414\pi$
$37$	−0.852298	−	1.47622i	−0.140117	−	0.242690i	−0.927540	+	0.373723i	$0.878081\pi$
$38$	−7.05440	−	3.14082i	−1.14437	−	0.509508i
$39$	5.29274	−	8.96228i	0.847517	−	1.43511i
$40$	−0.678469	+	2.13065i	−0.107275	+	0.336886i
$41$	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	−0.984144	−	0.177369i	$-0.943241\pi$
$43$	−4.62218	+	5.13345i	−0.704875	+	0.782843i	0.279269	+	0.960213i	$0.409908\pi$
$44$	−0.137948	−	0.153207i	−0.0207964	−	0.0230968i
$45$	5.37205	+	4.01760i	0.800817	+	0.598909i
$46$	0.0147046	+	0.00477783i	0.00216808	+	0.000704452i
$47$	0.319895	−	0.984536i	0.0466615	−	0.143609i	−0.925011	−	0.379940i	$-0.875945\pi$
$47$	0.319895	−	0.984536i	0.0466615	−	0.143609i	0.971673	+	0.236330i	$0.0759448\pi$
$48$	1.73197	+	0.0170584i	0.249988	+	0.00246217i
$49$	3.75709	+	4.17267i	0.536727	+	0.596095i
$50$	−4.07936	−	2.89116i	−0.576908	−	0.408872i
$51$	−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	0.747277	−	0.664513i	$-0.231361\pi$
$53$	−1.79512	−	4.03190i	−0.246579	−	0.553824i	−0.993855	+	0.110689i	$0.964694\pi$
$54$	1.75099	−	4.89224i	0.238280	−	0.665750i
$55$	0.420023	−	0.189973i	0.0566360	−	0.0256159i
$56$	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	$0.657105\pi$
$60$	−1.21143	+	3.67865i	−0.156395	+	0.474911i
$61$		−	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
$65$	−6.65009	+	11.6763i	−0.824842	+	1.44826i
$66$	−0.236308	−	0.267702i	−0.0290875	−	0.0329518i
$67$	−5.19611	−	2.99998i	−0.634806	−	0.366506i	0.147805	−	0.989017i	$-0.452779\pi$
$67$	−5.19611	−	2.99998i	−0.634806	−	0.366506i	−0.782611	+	0.622511i	$0.786113\pi$
$68$	2.40500	−	1.38853i	0.291649	−	0.168384i
$69$	0.0253865	+	0.00852588i	0.00305617	+	0.00102640i
$70$	0.562275	+	2.57089i	0.0672047	+	0.307280i
$71$	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	$0.326629\pi$
$73$	1.61610	+	15.3761i	0.189150	+	1.79964i	−0.328977	+	0.944338i	$0.606704\pi$
$74$	1.14060	−	1.26676i	0.132592	−	0.147258i
$75$	−7.01600	−	5.07699i	−0.810137	−	0.586240i
$76$	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	$0.517371\pi$
$80$	−2.23603	+	0.0131452i	−0.249996	+	0.00146967i
$81$	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	$-0.740426\pi$
$83$	2.15789	−	10.1521i	0.236859	−	1.11433i	0.922381	−	0.386282i	$-0.126241\pi$
$84$	1.77532	−	1.00180i	0.193703	−	0.109305i
$85$	1.32675	+	6.06630i	0.143906	+	0.657982i
$86$	−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	$0.324987\pi$
$90$	−2.16091	+	6.35063i	−0.227780	+	0.669415i
$91$	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
$95$	15.8151	+	6.93023i	1.62260	+	0.711027i
$96$	0.518984	+	1.65247i	0.0529685	+	0.168654i
$97$	−4.64404	−	6.39198i	−0.471531	−	0.649007i	0.505319	−	0.862933i	$-0.331375\pi$
$97$	−4.64404	−	6.39198i	−0.471531	−	0.649007i	−0.976850	+	0.213926i	$0.931375\pi$
$98$	−2.80744	+	4.86263i	−0.283594	+	0.491200i
$99$	−0.404710	−	0.467682i	−0.0406749	−	0.0470038i
$100$	1.48907	−	4.77312i	0.148907	−	0.477312i
$101$	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	$-0.810564\pi$
$103$	1.58761	−	7.46914i	0.156432	−	0.735956i	0.984508	−	0.175340i	$-0.0561024\pi$
$104$	0.628144	+	5.97639i	0.0615946	+	0.586034i
$105$	0.929986	+	4.46228i	0.0907574	+	0.435474i
$106$	3.27985	−	2.95319i	0.318567	−	0.286839i
$107$	0.0344939	−	0.328188i	0.00333465	−	0.0317271i	−0.992728	−	0.120379i	$-0.961589\pi$
$107$	0.0344939	−	0.328188i	0.00333465	−	0.0317271i	0.996063	+	0.0886516i	$0.0282558\pi$
$108$	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	$0.877112\pi$
$110$	0.310469	+	0.340761i	0.0296021	+	0.0324903i
$111$	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	0.999899	−	0.0142270i	$-0.00452875\pi$
$113$	0.200827	+	1.91074i	0.0188922	+	0.179748i	−0.981007	+	0.193975i	$0.937862\pi$
$114$	1.52899	−	13.2872i	0.143203	−	1.24446i
$115$	−0.0329428	−	0.0104901i	−0.00307193	−	0.000978204i
$116$	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
$120$	−3.87295	−	0.0153762i	−0.353551	−	0.00140365i
$121$	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	−0.571473	−	0.820621i	$-0.693628\pi$
$127$	−8.56210	+	1.81993i	−0.759764	+	0.161493i	−0.188290	+	0.982113i	$0.560295\pi$
$128$	−0.809017	+	0.587785i	−0.0715077	+	0.0519534i
$129$	−10.8817	−	4.97383i	−0.958080	−	0.437922i
$130$	−13.1598	−	2.71644i	−1.15419	−	0.238248i
$131$	−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
$135$	−3.85096	+	10.9622i	−0.331438	+	0.943477i
$136$	2.06376	+	1.85821i	0.176966	+	0.159340i
$137$	−0.130368	+	0.117384i	−0.0111381	+	0.0100288i	−0.674681	−	0.738110i	$-0.735719\pi$
$137$	−0.130368	+	0.117384i	−0.0111381	+	0.0100288i	0.663543	+	0.748138i	$0.269052\pi$
$138$	−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	$0.856451\pi$
$140$	−2.27130	+	1.32920i	−0.191960	+	0.112338i
$141$	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
$145$	−14.7343	+	10.8380i	−1.22362	+	0.900047i
$146$	−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	$0.992764\pi$
$150$	2.66044	−	8.24148i	0.217224	−	0.672914i
$151$	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
$155$	9.43417	−	8.12382i	0.757770	−	0.652521i
$156$	0.985977	+	10.3616i	0.0789413	+	0.829594i
$157$	−18.4508	+	5.99503i	−1.47253	+	0.478455i	−0.931873	−	0.362785i	$-0.881826\pi$
$157$	−18.4508	+	5.99503i	−1.47253	+	0.478455i	−0.540661	+	0.841240i	$0.681826\pi$
$158$	0.185260	+	0.871582i	0.0147385	+	0.0693393i
$159$	5.73096	−	5.05887i	0.454495	−	0.401195i
$160$	−0.703473	−	2.12253i	−0.0556144	−	0.167801i
$161$	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	−0.904757	−	0.425929i	$-0.859947\pi$
$163$	−2.80991	+	3.86751i	−0.220089	+	0.302927i	0.684668	+	0.728856i	$0.259947\pi$
$164$	2.48687	+	5.58560i	0.194192	+	0.436162i
$165$	0.531910	+	0.595483i	0.0414091	+	0.0463583i
$166$	10.3220	−	1.08489i	0.801143	−	0.0842036i
$167$	−3.75091	−	3.37734i	−0.290254	−	0.261346i	0.511120	−	0.859509i	$-0.329231\pi$
$167$	−3.75091	−	3.37734i	−0.290254	−	0.261346i	−0.801374	+	0.598163i	$0.795897\pi$
$168$	1.50137	+	1.37886i	0.115833	+	0.106381i
$169$	−2.41584	+	22.9852i	−0.185834	+	1.76809i
$170$	−5.35940	+	3.13640i	−0.411047	+	0.240551i
$171$	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	$-0.906231\pi$
$173$	−15.0687	−	16.7354i	−1.14565	−	1.27237i	−0.188727	−	0.982030i	$-0.560436\pi$
$174$	11.3797	+	8.44032i	0.862694	+	0.639859i
$175$	−1.29106	−	5.74118i	−0.0975948	−	0.433993i
$176$	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	$0.429945\pi$
$180$	−6.70756	−	0.0926975i	−0.499952	−	0.00690927i
$181$	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
$190$	−1.70390	+	17.1826i	−0.123614	+	1.24656i
$191$	−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	−0.744230	−	0.667923i	$-0.767183\pi$
$193$	3.47479	−	7.80450i	0.250121	−	0.561780i	0.994351	+	0.106143i	$0.0338501\pi$
$194$	4.64404	−	6.39198i	0.333423	−	0.458917i
$195$	−22.7460	−	4.92927i	−1.62887	−	0.352993i
$196$	−5.49218	−	1.16740i	−0.392299	−	0.0833856i
$197$	4.33015	−	0.455117i	0.308510	−	0.0324257i	0.0509916	−	0.998699i	$-0.483762\pi$
$197$	4.33015	−	0.455117i	0.308510	−	0.0324257i	0.257519	+	0.966273i	$0.417095\pi$
$198$	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	$0.506716\pi$
$200$	4.99965	−	0.0587859i	0.353529	−	0.00415679i
$201$	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
$205$	−13.5882	+	1.50900i	−0.949044	+	0.105393i
$206$	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
$210$	−3.95650	+	2.26339i	−0.273024	+	0.156189i
$211$	−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
$215$	14.1475	+	6.19946i	0.964849	+	0.422800i
$216$	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
$220$	−0.228143	+	0.400575i	−0.0153814	+	0.0270068i
$221$	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	0.579419	−	0.815030i	$-0.303280\pi$
$223$	−6.21411	−	10.7632i	−0.416127	−	0.720754i	−0.995546	+	0.0942762i	$0.969946\pi$
$224$	−0.478693	+	1.07516i	−0.0319840	+	0.0718373i
$225$	4.74838	−	14.2286i	0.316559	−	0.948573i
$226$	−1.75516	+	0.781450i	−0.116752	+	0.0519813i
$227$	−1.59674	−	0.339397i	−0.105979	−	0.0225266i	0.154617	−	0.987975i	$-0.450586\pi$
$227$	−1.59674	−	0.339397i	−0.105979	−	0.0225266i	−0.260596	+	0.965448i	$0.583919\pi$
$228$	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	$0.719865\pi$
$230$	−0.000203242	−	0.0345721i	−1.34014e−5	−	0.00227962i
$231$	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	$0.386932\pi$
$233$	−7.39816	+	22.7692i	−0.484669	+	1.49166i	−0.832459	+	0.554087i	$0.813068\pi$
$234$	1.53093	+	17.9628i	0.100080	+	1.17427i
$235$	−2.31474	+	0.0136079i	−0.150997	+	0.000887681i
$236$	−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	$0.404599\pi$
$240$	−1.18218	−	3.68815i	−0.0763097	−	0.238069i
$241$	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
$245$	6.21360	−	10.9099i	0.396972	−	0.697007i
$246$	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
$250$	−3.26686	+	10.6924i	−0.206614	+	0.676247i
$251$	−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
$255$	−9.33581	+	5.34072i	−0.584631	+	0.334449i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	12.6399	−	5.62763i	0.788453	−	0.351042i	0.0273107	−	0.999627i	$-0.491306\pi$
$257$	12.6399	−	5.62763i	0.788453	−	0.351042i	0.761142	+	0.648585i	$0.224639\pi$
$258$	1.36776	−	11.8861i	0.0851533	−	0.739997i
$259$	1.99517	−	0.209701i	0.123974	−	0.0130302i
$260$	−1.48311	−	13.3551i	−0.0919785	−	0.828250i
$261$	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	0.167960	−	0.985794i	$-0.446282\pi$
$263$	−4.46935	−	1.45218i	−0.275592	−	0.0895453i	−0.443552	+	0.896248i	$0.646282\pi$
$264$	0.348528	+	0.0776773i	0.0214504	+	0.00478071i
$265$	−7.29501	+	6.64652i	−0.448129	+	0.408293i
$266$	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	$0.412611\pi$
$270$	−11.6157	−	0.274970i	−0.706909	−	0.0167341i
$271$	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
$275$	−0.698698	−	0.757871i	−0.0421331	−	0.0457013i
$276$	−0.0255495	+	0.00802420i	−0.00153790	+	0.000483000i
$277$	1.77759	+	5.47085i	0.106805	+	0.328711i	0.990150	−	0.140012i	$-0.0447141\pi$
$277$	1.77759	+	5.47085i	0.106805	+	0.328711i	−0.883345	+	0.468723i	$0.844714\pi$
$278$		−	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	$0.0298373\pi$
$283$	13.0706	+	17.9902i	0.776968	+	1.06940i	−0.218642	+	0.975805i	$0.570163\pi$
$284$	−11.2476	−	6.49378i	−0.667420	−	0.385335i
$285$	−3.24421	+	29.7307i	−0.192170	+	1.76109i
$286$	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
$290$	−14.8607	−	10.6640i	−0.872650	−	0.626213i
$291$	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	$-0.878557\pi$
$293$	0.977942	−	9.30450i	0.0571320	−	0.543575i	0.985230	−	0.171238i	$-0.0547767\pi$
$294$	−9.49236	−	2.11558i	−0.553606	−	0.123383i
$295$	22.6182	−	13.2365i	1.31688	−	0.770660i
$296$	−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
$300$	8.66024	−	0.0165290i	0.499999	−	0.000954302i
$301$	−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
$305$	−15.7301	+	5.21347i	−0.900706	+	0.298522i
$306$	6.08026	+	5.69550i	0.347586	+	0.325590i
$307$	−6.20364	−	29.1858i	−0.354061	−	1.66572i	−0.689976	−	0.723832i	$-0.742379\pi$
$307$	−6.20364	−	29.1858i	−0.354061	−	1.66572i	0.335916	−	0.941892i	$-0.390954\pi$
$308$	0.230757	−	0.0749774i	0.0131486	−	0.00427223i
$309$	13.1665	−	1.25288i	0.749014	−	0.0712736i
$310$	10.6415	+	6.46202i	0.604398	+	0.367018i
$311$		−	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	0.155541	−	0.987830i	$-0.450288\pi$
$313$	12.3740	−	2.63018i	0.699420	−	0.148666i	0.543880	+	0.839163i	$0.316955\pi$
$314$	−11.4032	−	15.6952i	−0.643521	−	0.885731i
$315$	−6.89113	+	3.85262i	−0.388271	+	0.217071i
$316$	−0.771675	+	0.445527i	−0.0434101	+	0.0250628i
$317$	25.7995	+	11.4867i	1.44904	+	0.645155i	0.972268	−	0.233871i	$-0.0751392\pi$
$317$	25.7995	+	11.4867i	1.44904	+	0.645155i	0.476774	+	0.879026i	$0.341806\pi$
$318$	6.58224	+	3.88719i	0.369113	+	0.217983i
$319$	1.54059	−	0.685915i	0.0862565	−	0.0384039i
$320$	1.80126	−	1.32494i	0.100693	−	0.0740664i
$321$	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
$325$	29.4614	+	5.90106i	1.63422	+	0.327332i
$326$	−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
$330$	−0.401969	+	0.689891i	−0.0221277	+	0.0379772i
$331$	−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
$335$	−2.71221	+	13.1393i	−0.148184	+	0.717877i
$336$	−0.847421	+	1.85398i	−0.0462306	+	0.101143i
$337$	18.0576	−	13.1196i	0.983658	−	0.714669i	0.0251348	−	0.999684i	$-0.491998\pi$
$337$	18.0576	−	13.1196i	0.983658	−	0.714669i	0.958523	+	0.285015i	$0.0919985\pi$
$338$	−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
$345$	0.000237737	−	0.0598812i	1.27993e−5	−	0.00322389i
$346$	11.2599	−	19.5027i	0.605335	−	1.04847i
$347$	−13.9316	+	8.04339i	−0.747885	+	0.431792i	−0.824929	−	0.565236i	$-0.808785\pi$
$347$	−13.9316	+	8.04339i	−0.747885	+	0.431792i	0.0770439	+	0.997028i	$0.475452\pi$
$348$	−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	$0.804721\pi$
$350$	5.06123	−	3.00199i	0.270534	−	0.160463i
$351$	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	0.319986	−	0.947422i	$-0.396322\pi$
$353$	−11.0625	−	9.96075i	−0.588799	−	0.530157i	−0.908785	+	0.417265i	$0.862989\pi$
$354$	−14.9510	−	13.7310i	−0.794638	−	0.729794i
$355$	21.4671	−	19.5588i	1.13936	−	1.03807i
$356$	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	$0.0398850\pi$
$360$	−1.98459	−	6.40792i	−0.104597	−	0.337727i
$361$	−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
$365$	31.4994	−	14.2469i	1.64875	−	0.745717i
$366$	7.44235	+	10.4586i	0.389018	+	0.546679i
$367$	−15.3735	+	26.6277i	−0.802491	+	1.38996i	0.115480	+	0.993310i	$0.463159\pi$
$367$	−15.3735	+	26.6277i	−0.802491	+	1.38996i	−0.917972	+	0.396646i	$0.870174\pi$
$368$	−0.00908797	−	0.0125085i	−0.000473743	−	0.000652052i
$369$	7.12912	+	16.9005i	0.371127	+	0.879805i
$370$	−3.49112	−	1.52982i	−0.181494	−	0.0795314i
$371$	5.19426			0.269673
$372$	2.36063	−	9.35026i	0.122393	−	0.484789i
$373$			6.79500i			0.351832i	0.984405	+	0.175916i	$0.0562887\pi$
$373$			6.79500i			0.351832i	−0.984405	+	0.175916i	$0.943711\pi$
$374$	0.544497	−	0.176918i	0.0281552	−	0.00914819i
$375$	−5.84049	+	18.4632i	−0.301602	+	0.953434i
$376$	−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	$0.660907\pi$
$380$	−16.8682	+	3.68922i	−0.865320	+	0.189253i
$381$	−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	−0.366855	−	0.930278i	$-0.619565\pi$
$383$	−10.4169	+	1.09486i	−0.532277	+	0.0559446i	−0.165422	+	0.986223i	$0.552899\pi$
$384$	−1.39116	−	1.03183i	−0.0709925	−	0.0526551i
$385$	0.00318944	+	0.542532i	0.000162549	+	0.0276500i
$386$	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	$0.0237179\pi$
$390$	−2.34088	−	23.1559i	−0.118535	−	1.17255i
$391$	−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
$395$	−0.425705	−	1.94645i	−0.0214195	−	0.0979364i
$396$	0.602314	+	0.140480i	0.0302674	+	0.00705938i
$397$	−19.5103	+	11.2643i	−0.979196	+	0.565339i	−0.902027	−	0.431679i	$-0.857921\pi$
$397$	−19.5103	+	11.2643i	−0.979196	+	0.565339i	−0.0771688	+	0.997018i	$0.524588\pi$
$398$	−16.7287	−	9.65832i	−0.838534	−	0.484128i
$399$	11.8011	−	10.4171i	0.590792	−	0.521508i
$400$	1.60089	+	4.73679i	0.0800443	+	0.236839i
$401$	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
$405$	−20.1133	−	0.674384i	−0.999438	−	0.0335104i
$406$	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	$0.178468\pi$
$410$	−5.63414	−	12.4569i	−0.278250	−	0.615202i
$411$	−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
$415$	−23.0661	+	2.56152i	−1.13227	+	0.125740i
$416$	−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	$0.756204\pi$
$420$	−3.37524	−	3.06343i	−0.164695	−	0.149480i
$421$	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
$425$	11.9425	−	7.08354i	0.579299	−	0.343602i
$426$	−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
$430$	−1.52423	+	15.3708i	−0.0735049	+	0.741245i
$431$	−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	$-0.495781\pi$
$433$	0.551571			0.0265068			0.0132534	+	0.999912i	$0.495781\pi$
$434$	−1.84958	−	6.28632i	−0.0887829	−	0.301753i
$435$	−25.5563	−	18.7232i	−1.22533	−	0.897710i
$436$	−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	$0.122129\pi$
$440$	−0.451469	−	0.0931922i	−0.0215230	−	0.00444277i
$441$	−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	−0.203957	−	0.978980i	$-0.565380\pi$
$443$	8.14735	−	3.62744i	0.387092	−	0.172345i	0.591050	+	0.806635i	$0.298714\pi$
$444$	−0.337518	+	2.93309i	−0.0160179	+	0.139198i
$445$	2.68800	+	1.92891i	0.127424	+	0.0914390i
$446$	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	$0.00569399\pi$
$450$	14.9995	+	0.119102i	0.707084	+	0.00561454i
$451$	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
$455$	−9.37054	−	12.7393i	−0.439298	−	0.597227i
$456$	6.57305	+	11.6483i	0.307811	+	0.545482i
$457$	28.4057	+	20.6379i	1.32876	+	0.965401i	0.999778	+	0.0210648i	$0.00670564\pi$
$457$	28.4057	+	20.6379i	1.32876	+	0.965401i	0.328982	+	0.944336i	$0.393294\pi$
$458$	−0.520722	+	1.16956i	−0.0243318	+	0.0546500i
$459$	10.4337	+	9.96814i	0.487001	+	0.465273i
$460$	0.0328172	−	0.0108767i	0.00153011	−	0.000507127i
$461$	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	0.987371	−	0.158423i	$-0.0506410\pi$
$463$	2.05389	+	6.32122i	0.0954523	+	0.293772i	−0.891919	+	0.452195i	$0.850641\pi$
$464$	−8.17999			−0.379747
$465$	18.3206	+	11.3735i	0.849595	+	0.527435i
$466$	−23.9409			−1.10904
$467$	−12.9451	−	39.8410i	−0.599029	−	1.84362i	−0.533549	−	0.845769i	$-0.679142\pi$
$467$	−12.9451	−	39.8410i	−0.599029	−	1.84362i	−0.0654806	−	0.997854i	$-0.520858\pi$
$468$	−16.6106	+	7.00681i	−0.767824	+	0.323890i
$469$	5.71281	−	4.15060i	0.263793	−	0.191657i
$470$	−0.728236	−	2.19725i	−0.0335910	−	0.101351i
$471$	−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
$475$	3.58411	−	38.4433i	0.164450	−	1.76390i
$476$	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	$0.530470\pi$
$480$	3.14232	−	2.26402i	0.143427	−	0.103338i
$481$	−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
$485$	−10.3002	+	14.3537i	−0.467708	+	0.651768i
$486$	4.08148	+	15.0447i	0.185140	+	0.682439i
$487$	−1.82375	+	0.811984i	−0.0826418	+	0.0367945i	−0.447641	−	0.894213i	$-0.647736\pi$
$487$	−1.82375	+	0.811984i	−0.0826418	+	0.0367945i	0.364999	+	0.931008i	$0.381069\pi$
$488$	−4.35610	+	5.99566i	−0.197191	+	0.271411i
$489$	−7.84924	−	2.63612i	−0.354955	−	0.119209i
$490$	12.2960	+	2.53814i	0.555478	+	0.114662i
$491$	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
$495$	−0.707965	+	1.18801i	−0.0318207	+	0.0533971i
$496$	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	$-0.349721\pi$
$500$	−11.1786	+	0.197168i	−0.499922	+	0.00881763i
$501$	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	0.761344	−	0.648348i	$-0.224540\pi$
$503$	17.6947	+	7.87817i	0.788966	+	0.351270i	0.0276222	+	0.999618i	$0.491206\pi$
$504$	−1.49933	+	3.19658i	−0.0667855	+	0.142387i
$505$	−19.5436	−	6.22333i	−0.869680	−	0.276935i
$506$	−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	$0.729704\pi$
$510$	−7.96425	−	7.22851i	−0.352663	−	0.320084i
$511$	−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
$515$	−16.9703	+	1.88458i	−0.747801	+	0.0830445i
$516$	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
$520$	12.2432	−	5.53748i	0.536899	−	0.242835i
$521$	−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	−0.142768	−	0.989756i	$-0.545600\pi$
$523$	17.2532	−	12.5352i	0.754428	−	0.548124i	0.897196	+	0.441632i	$0.145600\pi$
$524$	−3.01346	−	14.1772i	−0.131644	−	0.619335i
$525$	8.81710	−	5.11301i	0.384810	−	0.223150i
$526$		−	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
$530$	−8.57550	−	4.88408i	−0.372496	−	0.212151i
$531$	−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
$535$	−0.720854	+	0.157657i	−0.0311652	+	0.00681610i
$536$	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
$540$	−3.32794	−	11.1322i	−0.143212	−	0.479052i
$541$	−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
$545$	30.0863	−	0.176871i	1.28875	−	0.00757632i
$546$	−7.29751	+	9.83891i	−0.312305	+	0.421066i
$547$	33.0911	−	3.47801i	1.41487	−	0.148709i	0.633968	−	0.773359i	$-0.281425\pi$
$547$	33.0911	−	3.47801i	1.41487	−	0.148709i	0.780905	+	0.624650i	$0.214758\pi$
$548$	0.0364735	−	0.171594i	0.00155807	−	0.00733014i
$549$	12.7115	+	18.2409i	0.542513	+	0.778502i
$550$	0.504868	−	0.898696i	0.0215277	−	0.0383205i
$551$	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
$555$	−6.02040	−	2.70915i	−0.255552	−	0.114997i
$556$	16.1754	−	5.25570i	0.685988	−	0.222891i
$557$		−	40.7775i		−	1.72780i	−0.503665	−	0.863899i	$-0.668015\pi$
$557$		−	40.7775i		−	1.72780i	0.503665	−	0.863899i	$-0.331985\pi$
$558$	4.24803	−	16.1541i	0.179833	−	0.683857i
$559$	41.5107			1.75572
$560$	1.05624	−	2.41039i	0.0446342	−	0.101857i
$561$	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	−0.867168	−	0.498016i	$-0.834062\pi$
$563$	−0.0543336	+	0.0941086i	−0.00228989	+	0.00396620i	0.864878	+	0.501982i	$0.167396\pi$
$564$	−1.46089	+	1.03957i	−0.0615148	+	0.0437740i
$565$	3.91433	−	1.77042i	0.164677	−	0.0744820i
$566$	−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	$-0.363721\pi$
$570$	−29.2781	+	6.10186i	−1.22632	+	0.255579i
$571$	−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
$575$	0.000908911		0.0773015i	3.79042e−5		0.00322370i
$576$	−2.39185	−	1.81082i	−0.0996603	−	0.0754507i
$577$	16.1490	+	14.5407i	0.672294	+	0.605336i	0.932911	−	0.360106i	$-0.117260\pi$
$577$	16.1490	+	14.5407i	0.672294	+	0.605336i	−0.260618	+	0.965442i	$0.583926\pi$
$578$	−0.970856	−	9.23708i	−0.0403823	−	0.384212i
$579$	14.7001	+	1.69157i	0.610914	+	0.0702994i
$580$	5.54987	−	17.4287i	0.230446	−	0.723688i
$581$	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
$585$	−3.65932	−	40.1453i	−0.151294	−	1.65980i
$586$	9.15131	−	1.94517i	0.378037	−	0.0803542i
$587$	−25.5502	+	8.30176i	−1.05457	+	0.342650i	−0.784460	−	0.620179i	$-0.787060\pi$
$587$	−25.5502	+	8.30176i	−1.05457	+	0.342650i	−0.270109	+	0.962830i	$0.587060\pi$
$588$	−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	−0.894502	−	0.447064i	$-0.852470\pi$
$593$	−18.1598	+	13.1939i	−0.745735	+	0.541809i	0.148767	+	0.988872i	$0.452470\pi$
$594$	1.04079	+	0.253581i	0.0427042	+	0.0104046i
$595$	−7.15736	−	1.47742i	−0.293423	−	0.0605683i
$596$	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	$0.0987518\pi$
$600$	2.69188	+	8.23127i	0.109896	+	0.336040i
$601$	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
$605$	−12.3754	−	21.1467i	−0.503131	−	0.859736i
$606$	−0.156470	+	15.8866i	−0.00635617	+	0.645351i
$607$	−2.82526	+	2.54388i	−0.114674	+	0.103253i	−0.724473	−	0.689303i	$-0.757917\pi$
$607$	−2.82526	+	2.54388i	−0.114674	+	0.103253i	0.609799	+	0.792556i	$0.291250\pi$
$608$	−5.16703	+	5.73856i	−0.209551	+	0.232729i
$609$	3.30606	+	16.3436i	0.133968	+	0.662278i
$610$	−9.81918	−	13.3492i	−0.397567	−	0.540494i
$611$	−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	0.590980	−	0.806686i	$-0.298741\pi$
$613$	9.58012	+	4.26535i	0.386938	+	0.172276i	−0.204042	+	0.978962i	$0.565408\pi$
$614$	25.8404	−	14.9189i	1.04283	−	0.602079i
$615$	−9.54565	−	21.6710i	−0.384918	−	0.873860i
$616$	0.142615	+	0.196293i	0.00574614	+	0.00790889i
$617$	15.0749	−	3.20427i	0.606893	−	0.128999i	0.105793	−	0.994388i	$-0.466262\pi$
$617$	15.0749	−	3.20427i	0.606893	−	0.128999i	0.501100	+	0.865389i	$0.332929\pi$
$618$	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	$-0.308731\pi$
$620$	−2.85734	+	12.1176i	−0.114753	+	0.486654i
$621$	−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
$625$	7.16424	−	23.9515i	0.286570	−	0.958059i
$626$	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
$630$	−5.79354	−	5.36333i	−0.230820	−	0.213680i
$631$	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
$635$	9.88606	+	16.8930i	0.392316	+	0.670380i
$636$	−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
$640$	1.81671	+	1.30367i	0.0718119	+	0.0515321i
$641$	−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	0.128215	−	0.991746i	$-0.459075\pi$
$643$	−19.6614	−	14.2849i	−0.775371	−	0.563340i	−0.903586	+	0.428406i	$0.859075\pi$
$644$	−0.0166235	−	0.00740125i	−0.000655057	−	0.000291650i
$645$	−2.90212	+	26.5957i	−0.114271	+	1.04720i
$646$	18.5714	+	10.7222i	0.730683	+	0.421860i
$647$	−9.75108	−	13.4212i	−0.383354	−	0.527642i	0.573115	−	0.819475i	$-0.305735\pi$
$647$	−9.75108	−	13.4212i	−0.383354	−	0.527642i	−0.956469	+	0.291833i	$0.905735\pi$
$648$	−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	0.999646	−	0.0266182i	$-0.00847382\pi$
$653$	4.47881	+	13.7844i	0.175270	+	0.539424i	−0.824376	+	0.566042i	$0.808474\pi$
$654$	−6.98304	−	22.2343i	−0.273058	−	0.869431i
$655$	32.2513	+	3.19817i	1.26016	+	0.124963i
$656$	−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	$0.902844\pi$
$660$	−0.780340	−	0.169107i	−0.0303747	−	0.00658249i
$661$	−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
$665$	−15.0217	+	13.6864i	−0.582517	+	0.530735i
$666$	−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
$670$	−13.3343	+	1.48080i	−0.515150	+	0.0572083i
$671$	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	−0.923943	−	0.382530i	$-0.875053\pi$
$673$	−32.6329	+	14.5291i	−1.25791	+	0.560056i	−0.333964	+	0.942586i	$0.608386\pi$
$674$	18.0576	+	13.1196i	0.695551	+	0.505348i
$675$	25.9767	+	0.462150i	0.999842	+	0.0177882i
$676$	−11.5559	−	20.0154i	−0.444458	−	0.769825i
$677$	−15.2715	−	8.81703i	−0.586933	−	0.338866i	0.176951	−	0.984220i	$-0.443377\pi$
$677$	−15.2715	−	8.81703i	−0.586933	−	0.338866i	−0.763884	+	0.645354i	$0.776710\pi$
$678$	−2.20222	−	2.49480i	−0.0845759	−	0.0958121i
$679$	9.09549	−	1.93331i	0.349053	−	0.0741934i
$680$	2.49231	−	5.68758i	0.0955759	−	0.218109i
$681$	−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	$-0.334831\pi$
$683$	25.9210			0.991838			0.495919	+	0.868369i	$0.334831\pi$
$684$	11.1856	+	20.2866i	0.427692	+	0.775677i
$685$	0.340861	+	0.194134i	0.0130236	+	0.00741746i
$686$	−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
$690$	0.0570239	−	0.0182782i	0.00217086	−	0.000695839i
$691$	−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
$695$	0.223570	+	38.0299i	0.00848050	+	1.44256i
$696$	−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
$700$	4.41907	+	3.88585i	0.167025	+	0.146871i
$701$	−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
$705$	−1.22380	−	3.81798i	−0.0460910	−	0.143793i
$706$	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	$0.813054\pi$
$710$	25.2352	+	14.3724i	0.947061	+	0.539388i
$711$	−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
$715$	−2.53730	−	1.11185i	−0.0948896	−	0.0415809i
$716$	−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	$0.889636\pi$
$720$	5.48102	−	3.86761i	0.204266	−	0.144137i
$721$	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
$725$	33.3691	+	23.6497i	1.23930	+	0.878328i
$726$	−12.8377	+	13.9783i	−0.476451	+	0.518785i
$727$	−36.3720	−	3.82285i	−1.34896	−	0.141782i	−0.597666	−	0.801745i	$-0.703905\pi$
$727$	−36.3720	−	3.82285i	−1.34896	−	0.141782i	−0.751298	+	0.659963i	$0.770572\pi$
$728$	−6.72628	−	2.18550i	−0.249293	−	0.0810001i
$729$	6.81235	+	26.1265i	0.252309	+	0.967647i
$730$	23.2835	+	25.5552i	0.861760	+	0.945840i
$731$	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	0.576321	−	0.817223i	$-0.304488\pi$
$733$	35.4658	−	3.72761i	1.30996	−	0.137682i	0.733638	+	0.679541i	$0.237821\pi$
$734$	−30.0752	−	6.39267i	−1.11009	−	0.235958i
$735$	21.2530	+	4.60573i	0.783929	+	0.169885i
$736$	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	$0.679863\pi$
$740$	0.376128	−	3.79299i	0.0138268	−	0.139433i
$741$	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	$0.219719\pi$
$743$			34.7128i			1.27349i	−0.771075	+	0.636744i	$0.780281\pi$
$744$	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
$750$	−19.3643	+	0.150800i	−0.707085	+	0.00550642i
$751$	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
$755$	2.02766	−	2.82561i	0.0737939	−	0.102835i
$756$	−2.65132	+	5.51079i	−0.0964276	+	0.200425i
$757$	9.09761	+	10.1039i	0.330658	+	0.367233i	0.885433	−	0.464768i	$-0.153862\pi$
$757$	9.09761	+	10.1039i	0.330658	+	0.367233i	−0.554774	+	0.832001i	$0.687195\pi$
$758$	0.352117	−	3.35017i	0.0127895	−	0.121684i
$759$	−0.00120100	+	0.00538873i	−4.35935e−5	+	0.000195598i
$760$	−8.72121	−	14.9026i	−0.316352	−	0.540573i
$761$	−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
$765$	−13.6705	−	12.6554i	−0.494259	−	0.457557i
$766$	−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	$0.964929\pi$
$770$	−0.514993	+	0.170685i	−0.0185591	+	0.00615106i
$771$	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	−0.303659	−	0.952781i	$-0.598208\pi$
$773$	0.297655	−	0.0967140i	0.0107059	−	0.00347856i	0.314365	+	0.949302i	$0.398208\pi$
$774$	20.3513	−	3.90851i	0.731512	−	0.140488i
$775$	−23.8797	−	14.3094i	−0.857785	−	0.514009i
$776$			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
$780$	21.2992	−	9.38189i	0.762635	−	0.335926i
$781$	−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
$785$	25.7043	+	34.9450i	0.917424	+	1.24724i
$786$	−4.97737	−	24.6059i	−0.177537	−	0.877663i
$787$	19.7987	−	21.9887i	0.705747	−	0.783811i	−0.278533	−	0.960427i	$-0.589848\pi$
$787$	19.7987	−	21.9887i	0.705747	−	0.783811i	0.984280	+	0.176616i	$0.0565150\pi$
$788$	−3.23565	+	2.91339i	−0.115265	+	0.103785i
$789$	0.0801636	−	8.13913i	0.00285390	−	0.289761i
$790$	1.71963	−	1.00635i	0.0611818	−	0.0358045i
$791$	−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
$795$	−14.7692	−	8.60534i	−0.523808	−	0.305200i
$796$	4.01616	−	18.8945i	0.142349	−	0.669699i
$797$	−6.49345	−	14.5845i	−0.230010	−	0.516610i	0.761262	−	0.648444i	$-0.224580\pi$
$797$	−6.49345	−	14.5845i	−0.230010	−	0.516610i	−0.991272	+	0.131834i	$0.957913\pi$
$798$	13.5540	+	8.00441i	0.479806	+	0.283353i
$799$	−1.16929	+	2.62627i	−0.0413666	+	0.0929109i
$800$	−4.01025	+	2.98628i	−0.141784	+	0.105581i
$801$	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	$0.852507\pi$
$810$	−5.57398	−	19.3373i	−0.195850	−	0.679443i
$811$	−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
$815$	10.1856	+	3.24343i	0.356786	+	0.113612i
$816$	−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
$820$	10.1062	−	9.20777i	0.352922	−	0.321549i
$821$	−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	$0.118653\pi$
$823$	−1.58836	+	15.1122i	−0.0553667	+	0.526779i	−0.986693	+	0.162594i	$0.948014\pi$
$824$	−5.67466	+	5.10948i	−0.197686	+	0.177997i
$825$	0.889746	−	1.54790i	0.0309770	−	0.0538910i
$826$	−1.44180	−	13.7178i	−0.0501667	−	0.477304i
$827$	−8.72234	+	41.0354i	−0.303306	+	1.42694i	0.517476	+	0.855698i	$0.326872\pi$
$827$	−8.72234	+	41.0354i	−0.303306	+	1.42694i	−0.820781	+	0.571243i	$0.806461\pi$
$828$	−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	$0.235657\pi$
$830$	−9.56396	−	21.1456i	−0.331970	−	0.733973i
$831$	−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
$835$	−4.52983	+	10.3373i	−0.156761	+	0.357737i
$836$	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	$0.238099\pi$
$840$	1.87049	−	4.15669i	0.0645380	−	0.143420i
$841$	−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
$845$	50.4863	−	11.0418i	1.73678	−	0.379849i
$846$	−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
$850$	10.4273	+	9.16910i	0.357653	+	0.314498i
$851$	−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	0.151318	−	0.988485i	$-0.451648\pi$
$853$	−8.97449	−	2.91599i	−0.307281	−	0.0998416i	−0.458598	+	0.888644i	$0.651648\pi$
$854$	−0.911712	+	8.67436i	−0.0311981	+	0.296831i
$855$	−50.8128	+	10.0688i	−1.73776	+	0.344345i
$856$	−0.220810	+	0.245235i	−0.00754714	+	0.00838194i
$857$	−1.50251	−	14.2954i	−0.0513247	−	0.488322i	−0.989747	−	0.142831i	$-0.954379\pi$
$857$	−1.50251	−	14.2954i	−0.0513247	−	0.488322i	0.938422	−	0.345490i	$-0.112287\pi$
$858$	−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	$0.788897\pi$
$860$	−15.0895	+	3.30020i	−0.514547	+	0.112536i
$861$	−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	0.359632	−	0.933094i	$-0.382902\pi$
$863$	−7.89168	−	4.55627i	−0.268636	−	0.155097i	−0.628268	+	0.777997i	$0.716236\pi$
$864$	−4.11171	−	3.17708i	−0.139883	−	0.108086i
$865$	−24.9211	+	43.7566i	−0.847342	+	1.48777i
$866$	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
$870$	9.90950	−	30.0913i	0.335964	−	1.02019i
$871$	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
$875$	−11.2776	+	6.77907i	−0.381253	+	0.229175i
$876$	13.6172	−	23.0583i	0.460084	−	0.779067i
$877$	−20.2390	−	45.4576i	−0.683424	−	1.53499i	−0.837205	−	0.546890i	$-0.815812\pi$
$877$	−20.2390	−	45.4576i	−0.683424	−	1.53499i	0.153781	−	0.988105i	$-0.450855\pi$
$878$	5.71649	+	1.21508i	0.192922	+	0.0410069i
$879$	15.8829	−	3.21286i	0.535718	−	0.108367i
$880$	−0.0508806	−	0.458171i	−0.00171519	−	0.0154449i
$881$	−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	−0.843992	−	0.536356i	$-0.819800\pi$
$883$	4.57836	−	14.0908i	0.154074	−	0.474192i	0.998066	+	0.0621646i	$0.0198004\pi$
$884$	−15.8714	−	5.15694i	−0.533814	−	0.173447i
$885$	33.6114	+	30.5064i	1.12984	+	1.02546i
$886$	5.96757	+	6.62765i	0.200484	+	0.222660i
$887$	−33.0852	+	36.7449i	−1.11089	+	1.23377i	−0.141060	+	0.990001i	$0.545051\pi$
$887$	−33.0852	+	36.7449i	−1.11089	+	1.23377i	−0.969833	+	0.243771i	$0.921616\pi$
$888$	−2.89383	+	0.585376i	−0.0971107	+	0.0196439i
$889$	2.14190	−	10.0768i	0.0718370	−	0.337966i
$890$	−1.00386	+	3.15251i	−0.0336495	+	0.105672i
$891$	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
$895$	3.52114	−	35.5082i	0.117699	−	1.18691i
$896$	−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
$900$	4.52184	+	14.3022i	0.150728	+	0.476740i
$901$	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
$905$	9.97375	−	48.3178i	0.331539	−	1.60614i
$906$	−2.55376	−	0.857664i	−0.0848430	−	0.0284940i
$907$	−3.65033	+	5.02425i	−0.121207	+	0.166828i	−0.865309	−	0.501239i	$-0.832878\pi$
$907$	−3.65033	+	5.02425i	−0.121207	+	0.166828i	0.744102	+	0.668066i	$0.232878\pi$
$908$	1.49128	−	0.663961i	0.0494899	−	0.0220343i
$909$	−0.542003	+	27.5125i	−0.0179771	+	0.912531i
$910$	9.22012	−	12.8486i	0.305644	−	0.425926i
$911$	−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
$915$	−16.7788	−	23.2879i	−0.554690	−	0.769874i
$916$	−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	$0.774311\pi$
$920$	0.0204854	+	0.0278499i	0.000675383	+	0.000918186i
$921$	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
$925$	7.82635	+	3.37482i	0.257329	+	0.110964i
$926$	−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	$0.439560\pi$
$930$	−5.15552	+	20.9385i	−0.169056	+	0.686600i
$931$	−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
$935$	−1.21518	+	0.402751i	−0.0397408	+	0.0131714i
$936$	−11.7968	−	13.6324i	−0.385591	−	0.445588i
$937$	−21.3038	+	47.8491i	−0.695965	+	1.56316i	0.124983	+	0.992159i	$0.460112\pi$
$937$	−21.3038	+	47.8491i	−0.695965	+	1.56316i	−0.820948	+	0.571004i	$0.806554\pi$
$938$	5.71281	+	4.15060i	0.186530	+	0.135522i
$939$	10.7682	+	19.0827i	0.351407	+	0.622739i
$940$	1.86467	−	1.37158i	0.0608187	−	0.0447360i
$941$	−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
$945$	−9.94273	−	9.38794i	−0.323437	−	0.305390i
$946$	0.440070	−	1.35440i	0.0143079	−	0.0440353i
$947$	41.1757	+	4.32774i	1.33803	+	0.140633i	0.746357	−	0.665546i	$-0.231801\pi$
$947$	41.1757	+	4.32774i	1.33803	+	0.140633i	0.591672	+	0.806178i	$0.298468\pi$
$948$	−1.13671	−	1.04395i	−0.0369185	−	0.0339059i
$949$	62.1683	−	69.0449i	2.01807	−	2.24129i
$950$	37.6693	−	8.47094i	1.22215	−	0.274834i
$951$	−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	$0.411590\pi$
$953$	−22.3858	+	30.8114i	−0.725147	+	0.998079i	−0.999337	+	0.0364036i	$0.988410\pi$
$954$	−3.00739	+	12.8943i	−0.0973678	+	0.417469i
$955$	−0.628914	+	3.04677i	−0.0203512	+	0.0985912i
$956$	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
$960$	3.12425	+	2.28890i	0.100835	+	0.0738741i
$961$	−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
$965$	−19.0097	−	1.88508i	−0.611944	−	0.0606829i
$966$	−0.0286651	−	0.0131023i	−0.000922284	−	0.000421560i
$967$	23.6494	+	40.9619i	0.760513	+	1.31725i	0.942586	+	0.333962i	$0.108386\pi$
$967$	23.6494	+	40.9619i	0.760513	+	1.31725i	−0.182073	+	0.983285i	$0.558281\pi$
$968$	−10.0102	−	4.45682i	−0.321739	−	0.143247i
$969$	31.9822	+	18.8873i	1.02742	+	0.606748i
$970$	−16.8341	−	5.36053i	−0.540511	−	0.172116i
$971$	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
$975$	5.53866	+	51.7466i	0.177379	+	1.65722i
$976$	−7.04832	−	2.29014i	−0.225611	−	0.0733055i
$977$	−8.29428	+	25.5272i	−0.265358	+	0.816687i	0.726253	+	0.687427i	$0.241260\pi$
$977$	−8.29428	+	25.5272i	−0.265358	+	0.816687i	−0.991611	+	0.129259i	$0.958740\pi$
$978$	0.0815479	−	8.27968i	0.00260762	−	0.264755i
$979$	−0.204107	−	0.226684i	−0.00652330	−	0.00724486i
$980$	1.38576	+	12.4785i	0.0442666	+	0.398612i
$981$	−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	0.687547	−	0.726140i	$-0.258688\pi$
$983$	−9.78644	−	21.9807i	−0.312139	−	0.701075i	−0.999686	+	0.0250645i	$0.992021\pi$
$984$	−9.11871	−	5.38512i	−0.290694	−	0.171671i
$985$	−4.01214	−	8.87070i	−0.127837	−	0.282644i
$986$	−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
$990$	−1.34864	−	0.306199i	−0.0428626	−	0.00973166i
$991$			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
$995$	37.5328	+	21.3764i	1.18987	+	0.677677i
$996$	−13.4771	+	11.8966i	−0.427039	+	0.376959i
$997$	−0.470188	−	0.271463i	−0.0148910	−	0.00859732i	0.492536	−	0.870292i	$-0.336070\pi$
$997$	−0.470188	−	0.271463i	−0.0148910	−	0.00859732i	−0.507427	+	0.861695i	$0.669403\pi$
$998$	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.a.179.19	yes	256
3.2	odd	2		930.2.bo.b.179.15	yes	256
5.4	even	2		930.2.bo.b.179.14	yes	256
15.14	odd	2	inner	930.2.bo.a.179.18	✓	256
31.22	odd	30	inner	930.2.bo.a.239.18	yes	256
93.53	even	30		930.2.bo.b.239.14	yes	256
155.84	odd	30		930.2.bo.b.239.15	yes	256
465.239	even	30	inner	930.2.bo.a.239.19	yes	256

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

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)

\(f(q)\)	\(=\)	\(q+(0.309017 + 0.951057i) q^{2} +(0.518984 + 1.65247i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.703473 - 2.12253i) q^{5} +(-1.41122 + 1.00422i) q^{6} +(-0.478693 + 1.07516i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(-2.46131 + 1.71521i) q^{9} +O(q^{10})\)	\(q+(0.309017 + 0.951057i) q^{2} +(0.518984 + 1.65247i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.703473 - 2.12253i) 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} +(1.80126 - 1.32494i) 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} +(3.14232 - 2.26402i) 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} +(1.81671 + 1.30367i) 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} +(-4.01025 + 2.98628i) 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} +(3.12425 + 2.28890i) q^{30} +(2.12127 + 5.14783i) q^{31} +1.00000 q^{32} +(-0.327623 + 0.142017i) q^{33} +(-0.577382 - 2.71637i) q^{34} +(2.61881 + 0.259692i) 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} +(-0.678469 + 2.13065i) 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} +(5.37205 + 4.01760i) 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} +(-4.07936 - 2.89116i) 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} +(0.420023 - 0.189973i) 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} +(-1.21143 + 3.67865i) q^{60} -7.41104i q^{61} +(-4.24037 + 3.60822i) q^{62} +(-0.665916 - 3.46737i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-6.65009 + 11.6763i) 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} +(0.562275 + 2.57089i) 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} +(-7.01600 - 5.07699i) 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} +(-2.23603 + 0.0131452i) 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} +(1.32675 + 6.06630i) 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} +(-2.16091 + 6.35063i) q^{90} +(6.72628 - 2.18550i) q^{91} +0.0154614i q^{92} +(-7.40573 + 6.17698i) q^{93} +1.03520 q^{94} +(15.8151 + 6.93023i) 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	\( 256 q - 64 q^{2} - 64 q^{4} - 2 q^{5} - 64 q^{8} + 4 q^{9} - 2 q^{10} + 20 q^{15} - 64 q^{16} - 6 q^{17} - 6 q^{18} - 4 q^{19} + 3 q^{20} + 20 q^{23} - 2 q^{25} + 42 q^{31} + 256 q^{32} + 8 q^{33} + 14 q^{34} - 16 q^{35} + 4 q^{36} + 36 q^{38} + 8 q^{39} + 3 q^{40} - 79 q^{45} - 10 q^{46} - 6 q^{47} - 40 q^{49} - 7 q^{50} + 68 q^{51} - 34 q^{53} - 6 q^{57} - 20 q^{60} + 2 q^{62} - 72 q^{63} - 64 q^{64} + 8 q^{66} - 6 q^{68} + 10 q^{69} - 16 q^{70} - 6 q^{72} - 2 q^{75} - 24 q^{76} + 100 q^{77} + 8 q^{78} + 40 q^{79} - 2 q^{80} + 12 q^{81} - 26 q^{83} - 30 q^{85} + 16 q^{87} - 49 q^{90} - 20 q^{91} - 22 q^{93} + 4 q^{94} + 56 q^{95} + 130 q^{98} + 102 q^{99}+O(q^{100}) \) 256 * q - 64 * q^2 - 64 * q^4 - 2 * q^5 - 64 * q^8 + 4 * q^9 - 2 * q^10 + 20 * 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 - 79 * q^45 - 10 * q^46 - 6 * q^47 - 40 * q^49 - 7 * q^50 + 68 * q^51 - 34 * q^53 - 6 * q^57 - 20 * 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 - 2 * 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 - 49 * 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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