LMFDB - Embedded newform 184.2.j.a.107.12

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [184,2,Mod(11,184)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(184, base_ring=CyclotomicField(22)) chi = DirichletCharacter(H, H._module([11, 11, 9])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("184.11"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 184 = 2^{3} \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	184.j (of order $22$, degree $10$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.46924739719$
Analytic rank:	$0$
Dimension:	$220$
Relative dimension:	$22$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			107.12
Character	$\chi$	$=$	184.107
Dual form			184.2.j.a.43.12

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.0519675 + 1.41326i) q^{2} +(-0.602375 - 1.31902i) q^{3} +(-1.99460 + 0.146887i) q^{4} +(-1.65405 - 1.90888i) q^{5} +(1.83281 - 0.919857i) q^{6} +(-0.428463 - 0.275357i) q^{7} +(-0.311243 - 2.81125i) q^{8} +(0.587632 - 0.678164i) q^{9} +(2.61178 - 2.43680i) q^{10} +(1.58228 - 0.227498i) q^{11} +(1.39524 + 2.54243i) q^{12} +(-3.61602 - 5.62664i) q^{13} +(0.366884 - 0.619839i) q^{14} +(-1.52148 + 3.33158i) q^{15} +(3.95685 - 0.585961i) q^{16} +(-0.123026 - 0.418987i) q^{17} +(0.988958 + 0.795234i) q^{18} +(-0.699920 + 2.38371i) q^{19} +(3.57956 + 3.56449i) q^{20} +(-0.105105 + 0.731018i) q^{21} +(0.403740 + 2.22435i) q^{22} +(-2.68399 + 3.97444i) q^{23} +(-3.52060 + 2.10396i) q^{24} +(-0.196352 + 1.36566i) q^{25} +(7.76399 - 5.40278i) q^{26} +(-5.42244 - 1.59217i) q^{27} +(0.895059 + 0.486290i) q^{28} +(1.17967 + 4.01757i) q^{29} +(-4.78745 - 1.97711i) q^{30} +(4.20874 + 1.92207i) q^{31} +(1.03374 + 5.56160i) q^{32} +(-1.25320 - 1.95002i) q^{33} +(0.585744 - 0.195641i) q^{34} +(0.183078 + 1.27334i) q^{35} +(-1.07248 + 1.43898i) q^{36} +(4.26008 - 4.91639i) q^{37} +(-3.40517 - 0.865293i) q^{38} +(-5.24344 + 8.15895i) q^{39} +(-4.85152 + 5.24408i) q^{40} +(-0.744600 - 0.859314i) q^{41} +(-1.03858 - 0.110551i) q^{42} +(9.04725 - 4.13174i) q^{43} +(-3.12260 + 0.686183i) q^{44} -2.26651 q^{45} +(-5.75640 - 3.58663i) q^{46} -1.35785i q^{47} +(-3.15640 - 4.86618i) q^{48} +(-2.80015 - 6.13146i) q^{49} +(-1.94023 - 0.206526i) q^{50} +(-0.478544 + 0.414660i) q^{51} +(8.03900 + 10.6917i) q^{52} +(4.17696 + 2.68437i) q^{53} +(1.96836 - 7.74605i) q^{54} +(-3.05144 - 2.64409i) q^{55} +(-0.640740 + 1.29022i) q^{56} +(3.56577 - 0.512680i) q^{57} +(-5.61656 + 1.87596i) q^{58} +(-10.0047 + 6.42962i) q^{59} +(2.54538 - 6.86866i) q^{60} +(3.54700 - 7.76684i) q^{61} +(-2.49766 + 6.04792i) q^{62} +(-0.438516 + 0.128760i) q^{63} +(-7.80626 + 1.74997i) q^{64} +(-4.75948 + 16.2093i) q^{65} +(2.69075 - 1.87243i) q^{66} +(3.09236 + 0.444614i) q^{67} +(0.306931 + 0.817640i) q^{68} +(6.85913 + 1.14612i) q^{69} +(-1.79004 + 0.324909i) q^{70} +(2.09524 + 0.301250i) q^{71} +(-2.08938 - 1.44091i) q^{72} +(6.08103 + 1.78555i) q^{73} +(7.16952 + 5.76510i) q^{74} +(1.91960 - 0.563647i) q^{75} +(1.04592 - 4.85735i) q^{76} +(-0.740592 - 0.338217i) q^{77} +(-11.8032 - 6.98633i) q^{78} +(13.8768 - 8.91806i) q^{79} +(-7.66336 - 6.58393i) q^{80} +(0.783125 + 5.44676i) q^{81} +(1.17574 - 1.09697i) q^{82} +(-8.69557 - 7.53476i) q^{83} +(0.102264 - 1.47353i) q^{84} +(-0.596304 + 0.927868i) q^{85} +(6.30938 + 12.5714i) q^{86} +(4.58865 - 3.97608i) q^{87} +(-1.13203 - 4.37738i) q^{88} +(14.6559 - 6.69312i) q^{89} +(-0.117785 - 3.20316i) q^{90} +3.40651i q^{91} +(4.76968 - 8.32167i) q^{92} -6.70920i q^{93} +(1.91899 - 0.0705639i) q^{94} +(5.70791 - 2.60672i) q^{95} +(6.71314 - 4.71369i) q^{96} +(-2.94269 + 2.54986i) q^{97} +(8.51983 - 4.27597i) q^{98} +(0.775519 - 1.20673i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 220 q - 11 q^{2} - 18 q^{3} - 3 q^{4} - 12 q^{6} - 8 q^{8} - 36 q^{9} - 11 q^{10} - 22 q^{11} - 6 q^{12} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 6 q^{18} - 22 q^{19} - 11 q^{20} - 18 q^{24} - 32 q^{25} - 10 q^{26}+ \cdots - 22 q^{99}+O(q^{100}) $ 220 * q - 11 * q^2 - 18 * q^3 - 3 * q^4 - 12 * q^6 - 8 * q^8 - 36 * q^9 - 11 * q^10 - 22 * q^11 - 6 * q^12 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 6 * q^18 - 22 * q^19 - 11 * q^20 - 18 * q^24 - 32 * q^25 - 10 * q^26 - 18 * q^27 - 11 * q^28 - 11 * q^30 - 11 * q^32 - 22 * q^33 + 11 * q^34 + 2 * q^35 - 41 * q^36 + 44 * q^38 - 99 * q^40 - 18 * q^41 + 99 * q^42 - 22 * q^43 - 88 * q^44 + 45 * q^46 - 100 * q^48 - 28 * q^49 + 14 * q^50 - 22 * q^51 - 118 * q^52 + 102 * q^54 - 66 * q^56 - 22 * q^57 + 43 * q^58 - 6 * q^59 - 33 * q^60 - 56 * q^62 + 18 * q^64 - 22 * q^65 + 22 * q^66 - 22 * q^67 - 10 * q^70 - 23 * q^72 - 18 * q^73 + 14 * q^75 + 44 * q^76 + 98 * q^78 + 88 * q^80 + 4 * q^81 + 14 * q^82 - 22 * q^83 + 143 * q^84 + 99 * q^86 + 77 * q^88 - 22 * q^89 + 176 * q^90 + 36 * q^92 + 111 * q^94 + 101 * q^96 - 22 * q^97 + 121 * q^98 - 22 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/184\mathbb{Z}\right)^\times$.

$n$	$47$	$93$	$97$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{17}{22}\right)$

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 $

$2$	0.0519675	+	1.41326i	0.0367465	+	0.999325i
$2$	0.0519675	+	1.41326i	0.0367465	+	0.999325i
$3$	−0.602375	−	1.31902i	−0.347781	−	0.761535i	−0.999994	−	0.00349866i	$-0.998886\pi$
$3$	−0.602375	−	1.31902i	−0.347781	−	0.761535i	0.652213	−	0.758036i	$-0.273841\pi$
$4$	−1.99460	+	0.146887i	−0.997299	+	0.0734435i
$5$	−1.65405	−	1.90888i	−0.739715	−	0.853676i	0.253815	−	0.967253i	$-0.418315\pi$
$5$	−1.65405	−	1.90888i	−0.739715	−	0.853676i	−0.993529	+	0.113577i	$0.963769\pi$
$6$	1.83281	−	0.919857i	0.748241	−	0.375530i
$7$	−0.428463	−	0.275357i	−0.161944	−	0.104075i	0.457159	−	0.889385i	$-0.348867\pi$
$7$	−0.428463	−	0.275357i	−0.161944	−	0.104075i	−0.619103	+	0.785310i	$0.712504\pi$
$8$	−0.311243	−	2.81125i	−0.110041	−	0.993927i
$9$	0.587632	−	0.678164i	0.195877	−	0.226055i
$10$	2.61178	−	2.43680i	0.825918	−	0.770585i
$11$	1.58228	−	0.227498i	0.477076	−	0.0685931i	0.100417	−	0.994945i	$-0.467982\pi$
$11$	1.58228	−	0.227498i	0.477076	−	0.0685931i	0.376658	+	0.926352i	$0.377073\pi$
$12$	1.39524	+	2.54243i	0.402772	+	0.733936i
$13$	−3.61602	−	5.62664i	−1.00290	−	1.56055i	−0.815902	−	0.578191i	$-0.803759\pi$
$13$	−3.61602	−	5.62664i	−1.00290	−	1.56055i	−0.187003	−	0.982359i	$-0.559877\pi$
$14$	0.366884	−	0.619839i	0.0980539	−	0.165659i
$15$	−1.52148	+	3.33158i	−0.392845	+	0.860211i
$16$	3.95685	−	0.585961i	0.989212	−	0.146490i
$17$	−0.123026	−	0.418987i	−0.0298381	−	0.101619i	0.943228	−	0.332147i	$-0.107773\pi$
$17$	−0.123026	−	0.418987i	−0.0298381	−	0.101619i	−0.973066	+	0.230528i	$0.925955\pi$
$18$	0.988958	+	0.795234i	0.233100	+	0.187438i
$19$	−0.699920	+	2.38371i	−0.160573	+	0.546860i	0.839422	+	0.543481i	$0.182894\pi$
$19$	−0.699920	+	2.38371i	−0.160573	+	0.546860i	−0.999994	+	0.00337960i	$0.998924\pi$
$20$	3.57956	+	3.56449i	0.800414	+	0.797043i
$21$	−0.105105	+	0.731018i	−0.0229357	+	0.159521i
$22$	0.403740	+	2.22435i	0.0860777	+	0.474233i
$23$	−2.68399	+	3.97444i	−0.559650	+	0.828729i
$23$	−2.68399	+	3.97444i	−0.559650	+	0.828729i
$24$	−3.52060	+	2.10396i	−0.718640	+	0.429469i
$25$	−0.196352	+	1.36566i	−0.0392704	+	0.273132i
$26$	7.76399	−	5.40278i	1.52264	−	1.05957i
$27$	−5.42244	−	1.59217i	−1.04355	−	0.306414i
$28$	0.895059	+	0.486290i	0.169150	+	0.0919002i
$29$	1.17967	+	4.01757i	0.219058	+	0.746045i	0.993543	+	0.113452i	$0.0361909\pi$
$29$	1.17967	+	4.01757i	0.219058	+	0.746045i	−0.774485	+	0.632592i	$0.781991\pi$
$30$	−4.78745	−	1.97711i	−0.874066	−	0.360970i
$31$	4.20874	+	1.92207i	0.755912	+	0.345213i	0.755814	−	0.654787i	$-0.227242\pi$
$31$	4.20874	+	1.92207i	0.755912	+	0.345213i	9.80039e−5		1.00000i	$0.499969\pi$
$32$	1.03374	+	5.56160i	0.182741	+	0.983161i
$33$	−1.25320	−	1.95002i	−0.218154	−	0.339454i
$34$	0.585744	−	0.195641i	0.100454	−	0.0335521i
$35$	0.183078	+	1.27334i	0.0309459	+	0.215233i
$36$	−1.07248	+	1.43898i	−0.178746	+	0.239830i
$37$	4.26008	−	4.91639i	0.700352	−	0.808250i	−0.288448	−	0.957496i	$-0.593139\pi$
$37$	4.26008	−	4.91639i	0.700352	−	0.808250i	0.988800	+	0.149246i	$0.0476846\pi$
$38$	−3.40517	−	0.865293i	−0.552392	−	0.140369i
$39$	−5.24344	+	8.15895i	−0.839622	+	1.30648i
$40$	−4.85152	+	5.24408i	−0.767093	+	0.829162i
$41$	−0.744600	−	0.859314i	−0.116287	−	0.134202i	0.694621	−	0.719376i	$-0.255572\pi$
$41$	−0.744600	−	0.859314i	−0.116287	−	0.134202i	−0.810908	+	0.585173i	$0.801026\pi$
$42$	−1.03858	−	0.110551i	−0.160256	−	0.0170583i
$43$	9.04725	−	4.13174i	1.37969	−	0.630085i	0.419074	−	0.907952i	$-0.362355\pi$
$43$	9.04725	−	4.13174i	1.37969	−	0.630085i	0.960619	+	0.277867i	$0.0896275\pi$
$44$	−3.12260	+	0.686183i	−0.470750	+	0.103446i
$45$	−2.26651			−0.337871
$46$	−5.75640	−	3.58663i	−0.848734	−	0.528819i
$47$		−	1.35785i		−	0.198062i	−0.995084	−	0.0990312i	$-0.968426\pi$
$47$		−	1.35785i		−	0.198062i	0.995084	−	0.0990312i	$-0.0315744\pi$
$48$	−3.15640	−	4.86618i	−0.455587	−	0.702373i
$49$	−2.80015	−	6.13146i	−0.400021	−	0.875923i
$50$	−1.94023	−	0.206526i	−0.274390	−	0.0292073i
$51$	−0.478544	+	0.414660i	−0.0670095	+	0.0580641i
$52$	8.03900	+	10.6917i	1.11481	+	1.48268i
$53$	4.17696	+	2.68437i	0.573750	+	0.368727i	0.795110	−	0.606465i	$-0.207413\pi$
$53$	4.17696	+	2.68437i	0.573750	+	0.368727i	−0.221360	+	0.975192i	$0.571050\pi$
$54$	1.96836	−	7.74605i	0.267860	−	1.05410i
$55$	−3.05144	−	2.64409i	−0.411456	−	0.356529i
$56$	−0.640740	+	1.29022i	−0.0856225	+	0.172413i
$57$	3.56577	−	0.512680i	0.472297	−	0.0679061i
$58$	−5.61656	+	1.87596i	−0.737491	+	0.246325i
$59$	−10.0047	+	6.42962i	−1.30250	+	0.837066i	−0.993482	−	0.113990i	$-0.963637\pi$
$59$	−10.0047	+	6.42962i	−1.30250	+	0.837066i	−0.309018	+	0.951056i	$0.600000\pi$
$60$	2.54538	−	6.86866i	0.328607	−	0.886740i
$61$	3.54700	−	7.76684i	0.454147	−	0.994442i	−0.534636	−	0.845082i	$-0.679551\pi$
$61$	3.54700	−	7.76684i	0.454147	−	0.994442i	0.988783	−	0.149360i	$-0.0477214\pi$
$62$	−2.49766	+	6.04792i	−0.317203	+	0.768087i
$63$	−0.438516	+	0.128760i	−0.0552478	+	0.0162222i
$64$	−7.80626	+	1.74997i	−0.975782	+	0.218746i
$65$	−4.75948	+	16.2093i	−0.590341	+	2.01052i
$66$	2.69075	−	1.87243i	0.331209	−	0.230480i
$67$	3.09236	+	0.444614i	0.377792	+	0.0543183i	0.328595	−	0.944471i	$-0.393425\pi$
$67$	3.09236	+	0.444614i	0.377792	+	0.0543183i	0.0491967	+	0.998789i	$0.484334\pi$
$68$	0.306931	+	0.817640i	0.0372208	+	0.0991535i
$69$	6.85913	+	1.14612i	0.825742	+	0.137977i
$70$	−1.79004	+	0.324909i	−0.213951	+	0.0388341i
$71$	2.09524	+	0.301250i	0.248659	+	0.0357518i	0.265517	−	0.964106i	$-0.414457\pi$
$71$	2.09524	+	0.301250i	0.248659	+	0.0357518i	−0.0168582	+	0.999858i	$0.505366\pi$
$72$	−2.08938	−	1.44091i	−0.246236	−	0.169813i
$73$	6.08103	+	1.78555i	0.711731	+	0.208983i	0.617504	−	0.786568i	$-0.288144\pi$
$73$	6.08103	+	1.78555i	0.711731	+	0.208983i	0.0942267	+	0.995551i	$0.469962\pi$
$74$	7.16952	+	5.76510i	0.833439	+	0.670179i
$75$	1.91960	−	0.563647i	0.221657	−	0.0650843i
$76$	1.04592	−	4.85735i	0.119976	−	0.557177i
$77$	−0.740592	−	0.338217i	−0.0843983	−	0.0385434i
$78$	−11.8032	−	6.98633i	−1.33645	−	0.791046i
$79$	13.8768	−	8.91806i	1.56126	−	1.00336i	0.579111	−	0.815248i	$-0.303400\pi$
$79$	13.8768	−	8.91806i	1.56126	−	1.00336i	0.982148	−	0.188112i	$-0.0602367\pi$
$80$	−7.66336	−	6.58393i	−0.856790	−	0.736106i
$81$	0.783125	+	5.44676i	0.0870139	+	0.605195i
$82$	1.17574	−	1.09697i	0.129839	−	0.121140i
$83$	−8.69557	−	7.53476i	−0.954463	−	0.827047i	0.0305488	−	0.999533i	$-0.490275\pi$
$83$	−8.69557	−	7.53476i	−0.954463	−	0.827047i	−0.985012	+	0.172486i	$0.944820\pi$
$84$	0.102264	−	1.47353i	0.0111580	−	0.160775i
$85$	−0.596304	+	0.927868i	−0.0646783	+	0.100641i
$86$	6.30938	+	12.5714i	0.680358	+	1.35561i
$87$	4.58865	−	3.97608i	0.491954	−	0.426281i
$88$	−1.13203	−	4.37738i	−0.120675	−	0.466630i
$89$	14.6559	−	6.69312i	1.55352	−	0.709469i	0.560582	−	0.828099i	$-0.310578\pi$
$89$	14.6559	−	6.69312i	1.55352	−	0.709469i	0.992938	+	0.118630i	$0.0378504\pi$
$90$	−0.117785	−	3.20316i	−0.0124156	−	0.337643i
$91$			3.40651i			0.357099i
$92$	4.76968	−	8.32167i	0.497274	−	0.867594i
$93$		−	6.70920i		−	0.695712i
$94$	1.91899	−	0.0705639i	0.197929	−	0.00727811i
$95$	5.70791	−	2.60672i	0.585620	−	0.267444i
$96$	6.71314	−	4.71369i	0.685157	−	0.481089i
$97$	−2.94269	+	2.54986i	−0.298785	+	0.258899i	−0.791331	−	0.611388i	$-0.790612\pi$
$97$	−2.94269	+	2.54986i	−0.298785	+	0.258899i	0.492546	+	0.870286i	$0.336066\pi$
$98$	8.51983	−	4.27597i	0.860632	−	0.431938i
$99$	0.775519	−	1.20673i	0.0779425	−	0.121281i
$100$	0.191046	−	2.75278i	0.0191046	−	0.275278i
$101$	11.4795	+	9.94701i	1.14225	+	0.989765i	1.00000		6.60916e-5i	$-2.10376e-5\pi$
$101$	11.4795	+	9.94701i	1.14225	+	0.989765i	0.142249	+	0.989831i	$0.454566\pi$
$102$	−0.610891	−	0.654757i	−0.0604872	−	0.0648306i
$103$	0.0285883	+	0.198836i	0.00281689	+	0.0195919i	0.991181	−	0.132512i	$-0.0423043\pi$
$103$	0.0285883	+	0.198836i	0.00281689	+	0.0195919i	−0.988365	+	0.152104i	$0.951395\pi$
$104$	−14.6924	+	11.9168i	−1.44071	+	1.16854i
$105$	1.56927	−	1.00851i	0.153145	−	0.0984205i
$106$	−3.57664	+	6.04263i	−0.347394	+	0.586912i
$107$	11.3000	+	5.16055i	1.09241	+	0.498889i	0.878393	−	0.477940i	$-0.158616\pi$
$107$	11.3000	+	5.16055i	1.09241	+	0.498889i	0.214022	+	0.976829i	$0.431344\pi$
$108$	11.0495	+	2.37926i	1.06323	+	0.228944i
$109$	−10.2905	+	3.02157i	−0.985653	+	0.289414i	−0.734556	−	0.678548i	$-0.762609\pi$
$109$	−10.2905	+	3.02157i	−0.985653	+	0.289414i	−0.251097	+	0.967962i	$0.580791\pi$
$110$	3.57820	−	4.44988i	0.341168	−	0.424279i
$111$	−9.05097	−	2.65760i	−0.859080	−	0.252249i
$112$	−1.85671	−	0.838482i	−0.175443	−	0.0792291i
$113$	−7.67347	−	1.10328i	−0.721859	−	0.103788i	−0.228413	−	0.973564i	$-0.573354\pi$
$113$	−7.67347	−	1.10328i	−0.721859	−	0.103788i	−0.493446	+	0.869777i	$0.664263\pi$
$114$	0.909853	+	5.01271i	0.0852156	+	0.469483i
$115$	12.0262	−	1.45053i	1.12145	−	0.135263i
$116$	−2.94309	−	7.84017i	−0.273259	−	0.727941i
$117$	−5.94068	−	0.854140i	−0.549216	−	0.0789653i
$118$	−9.60664	−	13.8051i	−0.884363	−	1.27086i
$119$	−0.0626589	+	0.213397i	−0.00574393	+	0.0195620i
$120$	9.83946	+	3.24034i	0.898216	+	0.295801i
$121$	−8.10256	+	2.37913i	−0.736597	+	0.216284i
$122$	11.1609	+	4.60920i	1.01046	+	0.417298i
$123$	−0.684922	+	1.49977i	−0.0617573	+	0.135230i
$124$	−8.67707	−	3.21554i	−0.779224	−	0.288764i
$125$	−7.69257	+	4.94371i	−0.688044	+	0.442179i
$126$	−0.204759	−	0.613045i	−0.0182414	−	0.0546144i
$127$	−0.769521	+	0.110640i	−0.0682840	+	0.00981775i	−0.176372	−	0.984324i	$-0.556436\pi$
$127$	−0.769521	+	0.110640i	−0.0682840	+	0.00981775i	0.108088	+	0.994141i	$0.465527\pi$
$128$	−2.87883	−	10.9413i	−0.254455	−	0.967085i
$129$	−10.8997	−	9.44462i	−0.959663	−	0.831553i
$130$	−23.1553	−	5.88402i	−2.03085	−	0.516063i
$131$	0.280216	+	0.180084i	0.0244826	+	0.0157340i	0.552825	−	0.833297i	$-0.313550\pi$
$131$	0.280216	+	0.180084i	0.0244826	+	0.0157340i	−0.528342	+	0.849031i	$0.677186\pi$
$132$	2.78606	+	3.70542i	0.242496	+	0.322516i
$133$	0.956260	−	0.828604i	0.0829183	−	0.0718491i
$134$	−0.467653	+	4.39341i	−0.0403991	+	0.379533i
$135$	5.92973	+	12.9843i	0.510350	+	1.11751i
$136$	−1.13959	+	0.476263i	−0.0977188	+	0.0408392i
$137$		−	14.8214i		−	1.26628i	−0.774038	−	0.633139i	$-0.781766\pi$
$137$		−	14.8214i		−	1.26628i	0.774038	−	0.633139i	$-0.218234\pi$
$138$	−1.26331	+	9.75328i	−0.107540	+	0.830254i
$139$	−6.95666			−0.590056			−0.295028	−	0.955489i	$-0.595329\pi$
$139$	−6.95666			−0.590056			−0.295028	+	0.955489i	$0.595329\pi$
$140$	−0.552205	−	2.51291i	−0.0466698	−	0.212379i
$141$	−1.79102	+	0.817933i	−0.150831	+	0.0688824i
$142$	−0.316859	+	2.97677i	−0.0265903	+	0.249805i
$143$	−7.00161	−	8.08029i	−0.585504	−	0.675708i
$144$	1.92779	−	3.02772i	0.160649	−	0.252310i
$145$	5.71783	−	8.89711i	0.474840	−	0.738865i
$146$	−2.20743	+	8.68686i	−0.182688	+	0.718929i
$147$	−6.40077	+	7.38688i	−0.527926	+	0.609259i
$148$	−7.77499	+	10.4320i	−0.639100	+	0.857503i
$149$	2.49279	+	17.3377i	0.204217	+	1.42036i	0.791593	+	0.611048i	$0.209252\pi$
$149$	2.49279	+	17.3377i	0.204217	+	1.42036i	−0.587376	+	0.809314i	$0.699839\pi$
$150$	0.896336	+	2.68361i	0.0731855	+	0.219116i
$151$	0.461671	+	0.718374i	0.0375703	+	0.0584605i	0.859531	−	0.511084i	$-0.170756\pi$
$151$	0.461671	+	0.718374i	0.0375703	+	0.0584605i	−0.821960	+	0.569545i	$0.807120\pi$
$152$	6.91905	+	1.22574i	0.561209	+	0.0994204i
$153$	−0.356436	−	0.162779i	−0.0288161	−	0.0131599i
$154$	0.439502	−	1.06422i	0.0354160	−	0.0857577i
$155$	−3.29248	−	11.2132i	−0.264459	−	0.900663i
$156$	9.26011	−	17.0440i	0.741402	−	1.36461i
$157$	−16.6983	−	4.90306i	−1.33267	−	0.391307i	−0.463620	−	0.886034i	$-0.653450\pi$
$157$	−16.6983	−	4.90306i	−1.33267	−	0.391307i	−0.869048	+	0.494728i	$0.835268\pi$
$158$	13.3247	+	19.1480i	1.06005	+	1.52333i
$159$	1.02463	−	7.12648i	0.0812587	−	0.565167i
$160$	8.90655	−	11.1725i	0.704125	−	0.883260i
$161$	2.24438	−	0.963850i	0.176882	−	0.0759620i
$162$	−7.65698	+	1.38981i	−0.601589	+	0.109194i
$163$	−1.19020	+	8.27804i	−0.0932238	+	0.648386i	0.888613	+	0.458658i	$0.151670\pi$
$163$	−1.19020	+	8.27804i	−0.0932238	+	0.648386i	−0.981837	+	0.189728i	$0.939239\pi$
$164$	1.61140	+	1.60462i	0.125829	+	0.125299i
$165$	−1.64949	+	5.61763i	−0.128412	+	0.437332i
$166$	10.1967	−	12.6807i	0.791415	−	0.984210i
$167$	−5.19752	−	17.7011i	−0.402196	−	1.36975i	−0.873088	−	0.487563i	$-0.837886\pi$
$167$	−5.19752	−	17.7011i	−0.402196	−	1.36975i	0.470891	−	0.882191i	$-0.343932\pi$
$168$	2.08779	+	0.0679506i	0.161076	+	0.00524250i
$169$	−13.1831	+	28.8669i	−1.01408	+	2.22053i
$170$	−1.34231	−	0.794513i	−0.102950	−	0.0609364i
$171$	1.20525	+	1.87540i	0.0921677	+	0.143416i
$172$	−17.4387	+	9.57009i	−1.32969	+	0.729713i
$173$	−2.88078	+	0.414194i	−0.219022	+	0.0314906i	−0.250952	−	0.968000i	$-0.580744\pi$
$173$	−2.88078	+	0.414194i	−0.219022	+	0.0314906i	0.0319303	+	0.999490i	$0.489835\pi$
$174$	5.85769	+	6.27831i	0.444071	+	0.475958i
$175$	0.460173	−	0.531068i	0.0347858	−	0.0401450i
$176$	6.12754	−	1.82733i	0.461881	−	0.137740i
$177$	14.5074	+	9.32331i	1.09044	+	0.700783i
$178$	10.2207	+	20.3647i	0.766076	+	1.52640i
$179$	−1.09417	−	1.26274i	−0.0817822	−	0.0943817i	0.713384	−	0.700774i	$-0.247162\pi$
$179$	−1.09417	−	1.26274i	−0.0817822	−	0.0943817i	−0.795166	+	0.606392i	$0.792616\pi$
$180$	4.52077	−	0.332920i	0.336958	−	0.0248144i
$181$	5.03597	+	11.0272i	0.374320	+	0.819647i	0.999241	+	0.0389589i	$0.0124041\pi$
$181$	5.03597	+	11.0272i	0.374320	+	0.819647i	−0.624920	+	0.780688i	$0.714869\pi$
$182$	−4.81427	+	0.177028i	−0.356858	+	0.0131222i
$183$	−12.3812			−0.915246
$184$	12.0085	+	6.30834i	0.885281	+	0.465057i
$185$	−16.4312			−1.20804
$186$	9.48184	−	0.348660i	0.695242	−	0.0255650i
$187$	−0.289980	−	0.634967i	−0.0212054	−	0.0464334i
$188$	0.199450	+	2.70836i	0.0145464	+	0.197528i
$189$	1.88490	+	2.17529i	0.137106	+	0.158229i
$190$	3.98059	+	7.93129i	0.288782	+	0.575397i
$191$	12.6913	+	8.15619i	0.918309	+	0.590161i	0.912167	−	0.409820i	$-0.134408\pi$
$191$	12.6913	+	8.15619i	0.918309	+	0.590161i	0.00614254	+	0.999981i	$0.498045\pi$
$192$	7.01053	+	9.24245i	0.505941	+	0.667016i
$193$	13.2295	−	15.2676i	0.952277	−	1.09899i	−0.0427201	−	0.999087i	$-0.513602\pi$
$193$	13.2295	−	15.2676i	0.952277	−	1.09899i	0.994998	−	0.0998996i	$-0.0318522\pi$
$194$	−3.75653	−	4.02627i	−0.269703	−	0.289070i
$195$	24.2473	−	3.48624i	1.73639	−	0.249655i
$196$	6.48580	+	11.8185i	0.463271	+	0.844179i
$197$	4.36117	+	6.78612i	0.310721	+	0.483491i	0.961131	−	0.276092i	$-0.0890394\pi$
$197$	4.36117	+	6.78612i	0.310721	+	0.483491i	−0.650410	+	0.759583i	$0.725403\pi$
$198$	1.74572	+	1.03330i	0.124063	+	0.0734332i
$199$	5.50999	−	12.0652i	0.390593	−	0.855280i	−0.607545	−	0.794285i	$-0.707846\pi$
$199$	5.50999	−	12.0652i	0.390593	−	0.855280i	0.998138	−	0.0609944i	$-0.0194272\pi$
$200$	3.90032	+	0.126943i	0.275794	+	0.00897619i
$201$	−1.27631	−	4.34670i	−0.0900237	−	0.306593i
$202$	−13.4611	+	16.7404i	−0.947123	+	1.17785i
$203$	0.600822	−	2.04621i	0.0421694	−	0.143616i
$204$	0.893594	−	0.897373i	0.0625641	−	0.0628287i
$205$	−0.408719	+	2.84270i	−0.0285462	+	0.198543i
$206$	−0.279521	+	0.0507357i	−0.0194752	+	0.00353492i
$207$	1.11813	+	4.15569i	0.0777152	+	0.288841i
$208$	−17.6051	−	20.1449i	−1.22069	−	1.39680i
$209$	−0.565182	+	3.93093i	−0.0390945	+	0.271908i
$210$	1.50684	+	2.16538i	0.103982	+	0.149425i
$211$	−22.5701	−	6.62719i	−1.55379	−	0.456235i	−0.611561	−	0.791197i	$-0.709458\pi$
$211$	−22.5701	−	6.62719i	−1.55379	−	0.456235i	−0.942232	+	0.334962i	$0.891276\pi$
$212$	−8.72567	−	4.74070i	−0.599281	−	0.325593i
$213$	−0.864765	−	2.94512i	−0.0592527	−	0.201796i
$214$	−6.70596	+	16.2380i	−0.458410	+	1.11001i
$215$	−22.8516	−	10.4360i	−1.55847	−	0.711728i
$216$	−2.78829	+	15.7394i	−0.189719	+	1.07093i
$217$	−1.27404	−	1.98244i	−0.0864872	−	0.134577i
$218$	−4.80503	−	14.3861i	−0.325438	−	0.974352i
$219$	−1.30789	−	9.09655i	−0.0883788	−	0.614688i
$220$	6.47478	+	4.82568i	0.436530	+	0.325347i
$221$	−1.91263	+	2.20729i	−0.128657	+	0.148478i
$222$	3.28552	−	12.9295i	0.220510	−	0.867769i
$223$	−0.0329286	+	0.0512380i	−0.00220507	+	0.00343115i	−0.842354	−	0.538924i	$-0.818831\pi$
$223$	−0.0329286	+	0.0512380i	−0.00220507	+	0.00343115i	0.840149	+	0.542355i	$0.182467\pi$
$224$	1.08850	−	2.66759i	0.0727287	−	0.178236i
$225$	0.810757	+	0.935664i	0.0540505	+	0.0623776i
$226$	1.16045	−	10.9019i	0.0771917	−	0.725185i
$227$	11.3070	−	5.16375i	0.750474	−	0.342730i	−0.00318582	−	0.999995i	$-0.501014\pi$
$227$	11.3070	−	5.16375i	0.750474	−	0.342730i	0.753659	+	0.657265i	$0.228287\pi$
$228$	−7.03697	+	1.54636i	−0.466035	+	0.102410i
$229$	23.3043			1.53999			0.769994	−	0.638051i	$-0.220259\pi$
$229$	23.3043			1.53999			0.769994	+	0.638051i	$0.220259\pi$
$230$	2.67495	+	16.9207i	0.176381	+	1.11572i
$231$			1.18059i			0.0776769i
$232$	10.9272	−	4.56678i	0.717408	−	0.299824i
$233$	−3.31938	−	7.26842i	−0.217460	−	0.476170i	0.769191	−	0.639018i	$-0.220659\pi$
$233$	−3.31938	−	7.26842i	−0.217460	−	0.476170i	−0.986651	+	0.162848i	$0.947932\pi$
$234$	0.898399	−	8.44010i	0.0587302	−	0.551747i
$235$	−2.59197	+	2.24595i	−0.169081	+	0.146510i
$236$	19.0109	−	14.2941i	1.23751	−	0.930465i
$237$	−20.1221	−	12.9317i	−1.30707	−	0.840003i
$238$	−0.304841	−	0.0774635i	−0.0197599	−	0.00502121i
$239$	−13.3773	−	11.5915i	−0.865303	−	0.749790i	0.104281	−	0.994548i	$-0.466746\pi$
$239$	−13.3773	−	11.5915i	−0.865303	−	0.749790i	−0.969584	+	0.244758i	$0.921291\pi$
$240$	−4.06810	+	14.0741i	−0.262595	+	0.908479i
$241$	12.1948	−	1.75334i	0.785534	−	0.112943i	0.262136	−	0.965031i	$-0.415573\pi$
$241$	12.1948	−	1.75334i	0.785534	−	0.112943i	0.523398	+	0.852088i	$0.324664\pi$
$242$	−3.78339	−	11.3274i	−0.243206	−	0.728152i
$243$	−7.55005	+	4.85212i	−0.484336	+	0.311264i
$244$	−5.93399	+	16.0127i	−0.379885	+	1.02511i
$245$	−7.07263	+	15.4869i	−0.451854	+	0.989421i
$246$	−2.15516	−	0.890032i	−0.137408	−	0.0567464i
$247$	15.9432	−	4.68135i	1.01444	−	0.297867i
$248$	4.09347	−	12.4300i	0.259935	−	0.789309i
$249$	−4.70048	+	16.0084i	−0.297881	+	1.01449i
$250$	−7.38651	−	10.6147i	−0.467164	−	0.671331i
$251$	10.0152	+	1.43997i	0.632154	+	0.0908900i	0.450941	−	0.892554i	$-0.351089\pi$
$251$	10.0152	+	1.43997i	0.632154	+	0.0908900i	0.181213	+	0.983444i	$0.441998\pi$
$252$	0.855750	−	0.321236i	0.0539072	−	0.0202360i
$253$	−3.34265	+	6.89929i	−0.210150	+	0.433755i
$254$	−0.196354	−	1.08178i	−0.0123203	−	0.0678771i
$255$	1.58307	+	0.227611i	0.0991358	+	0.0142536i
$256$	15.3133	−	4.63712i	0.957081	−	0.289820i
$257$	14.4713	+	4.24917i	0.902698	+	0.265056i	0.699964	−	0.714178i	$-0.253199\pi$
$257$	14.4713	+	4.24917i	0.902698	+	0.265056i	0.202734	+	0.979234i	$0.435017\pi$
$258$	12.7813	−	15.8949i	0.795727	−	0.989572i
$259$	−3.17905	+	0.933453i	−0.197536	+	0.0580019i
$260$	7.11232	−	33.0302i	0.441088	−	2.04844i
$261$	3.41778	+	1.56085i	0.211555	+	0.0966141i
$262$	−0.239943	+	0.405376i	−0.0148237	+	0.0250442i
$263$	−23.6343	+	15.1888i	−1.45735	+	0.936585i	−0.458501	+	0.888694i	$0.651614\pi$
$263$	−23.6343	+	15.1888i	−1.45735	+	0.936585i	−0.998853	+	0.0478908i	$0.984750\pi$
$264$	−5.09193	+	4.12999i	−0.313387	+	0.254183i
$265$	−1.78478	−	12.4134i	−0.109638	−	0.762549i
$266$	1.22073	+	1.30838i	0.0748475	+	0.0802221i
$267$	−17.6567	−	15.2996i	−1.08057	−	0.936320i
$268$	−6.23333	−	0.432600i	−0.380761	−	0.0264252i
$269$	3.51270	−	5.46587i	0.214173	−	0.333260i	−0.717499	−	0.696559i	$-0.754713\pi$
$269$	3.51270	−	5.46587i	0.214173	−	0.333260i	0.931673	+	0.363299i	$0.118350\pi$
$270$	−18.0420	+	9.05501i	−1.09800	+	0.551070i
$271$	−21.3578	+	18.5067i	−1.29739	+	1.12420i	−0.312711	+	0.949848i	$0.601237\pi$
$271$	−21.3578	+	18.5067i	−1.29739	+	1.12420i	−0.984684	+	0.174351i	$0.944217\pi$
$272$	−0.732304	−	1.58578i	−0.0444025	−	0.0961521i
$273$	4.49324	−	2.05199i	0.271943	−	0.124192i
$274$	20.9465	−	0.770231i	1.26542	−	0.0465314i
$275$			2.20553i			0.132998i
$276$	−13.8496	−	1.27853i	−0.833645	−	0.0769586i
$277$		−	24.5314i		−	1.47395i	−0.675921	−	0.736974i	$-0.736254\pi$
$277$		−	24.5314i		−	1.47395i	0.675921	−	0.736974i	$-0.263746\pi$
$278$	−0.361520	−	9.83156i	−0.0216825	−	0.589658i
$279$	3.77667	−	1.72475i	0.226103	−	0.103258i
$280$	3.52269	−	0.910997i	0.210521	−	0.0544425i
$281$	−14.0240	+	12.1519i	−0.836603	+	0.724921i	−0.963705	−	0.266969i	$-0.913978\pi$
$281$	−14.0240	+	12.1519i	−0.836603	+	0.724921i	0.127102	+	0.991890i	$0.459432\pi$
$282$	−1.24903	−	2.48867i	−0.0743784	−	0.148198i
$283$	−1.73586	+	2.70105i	−0.103186	+	0.160561i	−0.889007	−	0.457893i	$-0.848604\pi$
$283$	−1.73586	+	2.70105i	−0.103186	+	0.160561i	0.785821	+	0.618454i	$0.212241\pi$
$284$	−4.22341	−	0.293109i	−0.250613	−	0.0173928i
$285$	−6.87661	−	5.95861i	−0.407335	−	0.352958i
$286$	11.0557	−	10.3150i	0.653737	−	0.609939i
$287$	0.0824159	+	0.573215i	0.00486486	+	0.0338358i
$288$	4.37913	+	2.56713i	0.258043	+	0.151269i
$289$	14.1409	−	9.08780i	0.831817	−	0.534577i
$290$	12.8711	+	7.61841i	0.755815	+	0.447368i
$291$	5.13591	+	2.34549i	0.301072	+	0.137495i
$292$	−12.3915	−	2.66824i	−0.725157	−	0.156147i
$293$	15.5826	−	4.57547i	0.910347	−	0.267302i	0.207160	−	0.978307i	$-0.433578\pi$
$293$	15.5826	−	4.57547i	0.910347	−	0.267302i	0.703187	+	0.711005i	$0.251760\pi$
$294$	−10.7722	−	8.66206i	−0.628247	−	0.505182i
$295$	28.8216	+	8.46280i	1.67806	+	0.492723i
$296$	−15.1471	−	10.4459i	−0.880409	−	0.607158i
$297$	−8.94204	−	1.28567i	−0.518870	−	0.0746022i
$298$	−24.3732	+	4.42395i	−1.41190	+	0.256273i
$299$	32.0681	+	0.730154i	1.85455	+	0.0422259i
$300$	−3.74605	+	1.40621i	−0.216278	+	0.0811878i
$301$	−5.01412	−	0.720922i	−0.289009	−	0.0415532i
$302$	−0.991256	+	0.689793i	−0.0570404	+	0.0396931i
$303$	6.20534	−	21.1334i	0.356487	−	1.21408i
$304$	−1.37272	+	9.84210i	−0.0787308	+	0.564483i
$305$	−20.6929	+	6.07598i	−1.18487	+	0.347909i
$306$	0.211525	−	0.512195i	0.0120921	−	0.0292802i
$307$	−4.19518	+	9.18617i	−0.239432	+	0.524282i	−0.990757	−	0.135650i	$-0.956688\pi$
$307$	−4.19518	+	9.18617i	−0.239432	+	0.524282i	0.751325	+	0.659932i	$0.229415\pi$
$308$	1.52686	+	0.565824i	0.0870012	+	0.0322408i
$309$	0.245047	−	0.157482i	0.0139403	−	0.00895886i
$310$	15.6760	−	5.23585i	0.890337	−	0.297376i
$311$	12.3614	−	1.77731i	0.700953	−	0.100782i	0.217382	−	0.976087i	$-0.430248\pi$
$311$	12.3614	−	1.77731i	0.700953	−	0.100782i	0.483572	+	0.875305i	$0.339339\pi$
$312$	24.5688	+	12.2012i	1.39094	+	0.690756i
$313$	13.8067	+	11.9636i	0.780404	+	0.676224i	0.951025	−	0.309113i	$-0.100032\pi$
$313$	13.8067	+	11.9636i	0.780404	+	0.676224i	−0.170622	+	0.985337i	$0.554578\pi$
$314$	6.06152	−	23.8538i	0.342071	−	1.34615i
$315$	0.971115	+	0.624097i	0.0547161	+	0.0351639i
$316$	−26.3686	+	19.8263i	−1.48335	+	1.11531i
$317$	11.6741	−	10.1156i	0.655681	−	0.568151i	−0.262196	−	0.965015i	$-0.584447\pi$
$317$	11.6741	−	10.1156i	0.655681	−	0.568151i	0.917878	+	0.396863i	$0.129901\pi$
$318$	10.1248	+	1.07773i	0.567771	+	0.0604359i
$319$	2.78055	+	6.08856i	0.155681	+	0.340894i
$320$	16.2524	+	12.0067i	0.908538	+	0.671192i
$321$		−	18.0135i		−	1.00542i
$322$	1.47880	+	3.12180i	0.0824105	+	0.173971i
$323$	1.08485			0.0603628
$324$	−2.36208	−	10.7491i	−0.131227	−	0.597170i
$325$	8.39409	−	3.83345i	0.465620	−	0.212642i
$326$	−11.7609	−	1.25187i	−0.651374	−	0.0693349i
$327$	10.1842	+	11.7532i	0.563190	+	0.649956i
$328$	−2.18400	+	2.36071i	−0.120591	+	0.130349i
$329$	−0.373892	+	0.581788i	−0.0206134	+	0.0320750i
$330$	−8.02489	−	2.03922i	−0.441755	−	0.112255i
$331$	−19.0576	+	21.9936i	−1.04750	+	1.20888i	−0.0700873	+	0.997541i	$0.522328\pi$
$331$	−19.0576	+	21.9936i	−1.04750	+	1.20888i	−0.977413	+	0.211339i	$0.932218\pi$
$332$	18.4509	+	13.7516i	1.01263	+	0.754714i
$333$	−0.830759	−	5.77806i	−0.0455253	−	0.316636i
$334$	24.7462	−	8.26532i	1.35405	−	0.452258i
$335$	−4.26621	−	6.63835i	−0.233088	−	0.362692i
$336$	0.0124653	+	2.95412i	0.000680039	+	0.161160i
$337$	−5.20123	−	2.37532i	−0.283329	−	0.129392i	0.268682	−	0.963229i	$-0.413412\pi$
$337$	−5.20123	−	2.37532i	−0.283329	−	0.129392i	−0.552011	+	0.833837i	$0.686139\pi$
$338$	−41.4815	−	17.1310i	−2.25630	−	0.931802i
$339$	3.16706	+	10.7860i	0.172011	+	0.585816i
$340$	1.05310	−	1.93831i	0.0571122	−	0.105120i
$341$	7.09667	+	2.08377i	0.384306	+	0.112843i
$342$	−2.58780	+	1.80079i	−0.139932	+	0.0973755i
$343$	−0.995962	+	6.92706i	−0.0537769	+	0.374026i
$344$	−14.4313	−	24.1481i	−0.778081	−	1.30198i
$345$	−9.15755	−	14.9890i	−0.493026	−	0.806979i
$346$	−0.735069	−	4.04976i	−0.0395176	−	0.217717i
$347$	−2.13900	+	14.8770i	−0.114827	+	0.798641i	0.848285	+	0.529540i	$0.177636\pi$
$347$	−2.13900	+	14.8770i	−0.114827	+	0.798641i	−0.963112	+	0.269101i	$0.913273\pi$
$348$	−8.56847	+	8.60470i	−0.459318	+	0.461261i
$349$	5.86738	−	19.9825i	0.314074	−	1.06964i	−0.639578	−	0.768726i	$-0.720891\pi$
$349$	5.86738	−	19.9825i	0.314074	−	1.06964i	0.953652	−	0.300911i	$-0.0972908\pi$
$350$	0.774450	+	0.622745i	0.0413961	+	0.0332871i
$351$	10.6491	+	36.2675i	0.568406	+	1.93581i
$352$	2.90092	+	8.56484i	0.154620	+	0.456507i
$353$	−7.13432	+	15.6220i	−0.379722	+	0.831475i	0.619208	+	0.785227i	$0.287454\pi$
$353$	−7.13432	+	15.6220i	−0.379722	+	0.831475i	−0.998930	+	0.0462478i	$0.985274\pi$
$354$	−12.4223	+	20.9872i	−0.660240	+	1.11545i
$355$	−2.89058	−	4.49784i	−0.153416	−	0.238720i
$356$	−28.2495	+	15.5028i	−1.49722	+	0.821649i
$357$	0.319218	−	0.0458966i	0.0168948	−	0.00242911i
$358$	1.72772	−	1.61197i	0.0913128	−	0.0851952i
$359$	6.72924	−	7.76596i	0.355156	−	0.409871i	−0.549855	−	0.835260i	$-0.685317\pi$
$359$	6.72924	−	7.76596i	0.355156	−	0.409871i	0.905011	+	0.425389i	$0.139863\pi$
$360$	0.705435	+	6.37171i	0.0371797	+	0.335819i
$361$	10.7916	+	6.93536i	0.567981	+	0.365019i
$362$	−15.3226	+	7.69018i	−0.805339	+	0.404187i
$363$	8.01889	+	9.25429i	0.420883	+	0.485724i
$364$	−0.500371	−	6.79461i	−0.0262266	−	0.356135i
$365$	−6.64994	−	14.5613i	−0.348074	−	0.762175i
$366$	−0.643421	−	17.4979i	−0.0336321	−	0.914628i
$367$	24.3273			1.26987			0.634937	−	0.772564i	$-0.281026\pi$
$367$	24.3273			1.26987			0.634937	+	0.772564i	$0.281026\pi$
$368$	−8.29126	+	17.2990i	−0.432212	+	0.901772i
$369$	−1.02031			−0.0531150
$370$	−0.853887	−	23.2215i	−0.0443915	−	1.20723i
$371$	−1.05052	−	2.30031i	−0.0545401	−	0.119426i
$372$	0.985494	+	13.3822i	0.0510955	+	0.693833i
$373$	7.08236	+	8.17348i	0.366711	+	0.423207i	0.908877	−	0.417064i	$-0.136941\pi$
$373$	7.08236	+	8.17348i	0.366711	+	0.423207i	−0.542166	+	0.840271i	$0.682396\pi$
$374$	0.882303	−	0.442814i	0.0456228	−	0.0228974i
$375$	11.1547	+	7.16866i	0.576024	+	0.370188i
$376$	−3.81725	+	0.422621i	−0.196860	+	0.0217950i
$377$	18.3398	−	21.1652i	0.944545	−	1.09006i
$378$	−2.97630	+	2.77690i	−0.153084	+	0.142828i
$379$	36.4574	−	5.24178i	1.87269	−	0.269252i	0.890200	−	0.455570i	$-0.150564\pi$
$379$	36.4574	−	5.24178i	1.87269	−	0.269252i	0.982490	+	0.186318i	$0.0596554\pi$
$380$	−11.0021	+	6.03777i	−0.564396	+	0.309731i
$381$	0.609477	+	0.948365i	0.0312244	+	0.0485862i
$382$	−10.8673	+	18.3599i	−0.556018	+	0.939375i
$383$	−13.0181	+	28.5056i	−0.665192	+	1.45657i	0.212412	+	0.977180i	$0.431868\pi$
$383$	−13.0181	+	28.5056i	−0.665192	+	1.45657i	−0.877604	+	0.479387i	$0.840859\pi$
$384$	−12.6976	+	10.3880i	−0.647974	+	0.530110i
$385$	0.579363	+	1.97313i	0.0295271	+	0.100560i
$386$	22.2646	+	17.9032i	1.13324	+	0.911250i
$387$	2.51446	−	8.56346i	0.127817	−	0.435305i
$388$	5.49495	−	5.51818i	0.278964	−	0.280143i
$389$	1.26246	−	8.78063i	0.0640095	−	0.445196i	−0.932462	−	0.361267i	$-0.882344\pi$
$389$	1.26246	−	8.78063i	0.0640095	−	0.445196i	0.996472	−	0.0839285i	$-0.0267467\pi$
$390$	6.18703	+	34.0866i	0.313293	+	1.72604i
$391$	1.99544	+	0.635597i	0.100914	+	0.0321435i
$392$	−16.3656	+	9.78029i	−0.826585	+	0.493979i
$393$	0.0687386	−	0.478088i	0.00346740	−	0.0241163i
$394$	−9.36390	+	6.51612i	−0.471747	+	0.328278i
$395$	−39.9764	−	11.7381i	−2.01143	−	0.590609i
$396$	−1.36960	+	2.52086i	−0.0688248	+	0.126678i
$397$	−3.59002	−	12.2265i	−0.180178	−	0.613630i	−0.999205	−	0.0398745i	$-0.987304\pi$
$397$	−3.59002	−	12.2265i	−0.180178	−	0.613630i	0.819027	−	0.573755i	$-0.194514\pi$
$398$	17.3376	+	7.16005i	0.869055	+	0.358901i
$399$	−1.66897	−	0.762193i	−0.0835530	−	0.0381574i
$400$	0.0232872	+	5.51876i	0.00116436	+	0.275938i
$401$	6.57904	+	10.2372i	0.328542	+	0.511221i	0.965751	−	0.259470i	$-0.0835478\pi$
$401$	6.57904	+	10.2372i	0.328542	+	0.511221i	−0.637210	+	0.770691i	$0.719911\pi$
$402$	6.07668	−	2.02964i	0.303077	−	0.101229i
$403$	−4.40412	−	30.6313i	−0.219385	−	1.52585i
$404$	−24.3580	−	18.1541i	−1.21186	−	0.903201i
$405$	9.10186	−	10.5041i	0.452275	−	0.521953i
$406$	2.92305	+	0.742780i	0.145068	+	0.0368636i
$407$	5.62217	−	8.74827i	0.278681	−	0.433636i
$408$	1.31466	+	1.21625i	0.0650852	+	0.0602131i
$409$	19.6475	+	22.6745i	0.971508	+	1.12118i	0.992603	+	0.121402i	$0.0387391\pi$
$409$	19.6475	+	22.6745i	0.971508	+	1.12118i	−0.0210957	+	0.999777i	$0.506715\pi$
$410$	−4.03871	−	0.429897i	−0.199458	−	0.0212311i
$411$	−19.5497	+	8.92804i	−0.964315	+	0.440388i
$412$	−0.0862287	−	0.392399i	−0.00424818	−	0.0193321i
$413$	6.05708			0.298050
$414$	−5.81496	+	1.79616i	−0.285790	+	0.0882766i
$415$			29.0617i			1.42658i
$416$	27.5551	−	25.9274i	1.35100	−	1.27119i
$417$	4.19052	+	9.17595i	0.205210	+	0.449348i
$418$	−5.58479	−	0.594468i	−0.273161	−	0.0290764i
$419$	5.93147	−	5.13964i	0.289771	−	0.251088i	−0.497828	−	0.867276i	$-0.665869\pi$
$419$	5.93147	−	5.13964i	0.289771	−	0.251088i	0.787600	+	0.616187i	$0.211324\pi$
$420$	−2.98193	+	2.24208i	−0.145503	+	0.109402i
$421$	10.3962	+	6.68124i	0.506680	+	0.325624i	0.768883	−	0.639389i	$-0.220813\pi$
$421$	10.3962	+	6.68124i	0.506680	+	0.325624i	−0.262203	+	0.965013i	$0.584449\pi$
$422$	8.19302	−	32.2418i	0.398830	−	1.56951i
$423$	−0.920843	−	0.797915i	−0.0447729	−	0.0387959i
$424$	6.24639	−	12.5780i	0.303351	−	0.610841i
$425$	0.596350	−	0.0857422i	0.0289272	−	0.00415911i
$426$	4.11727	−	1.37519i	0.199483	−	0.0666280i
$427$	−3.65841	+	2.35112i	−0.177043	+	0.113779i
$428$	−23.2970	−	8.63340i	−1.12610	−	0.417311i
$429$	−6.44045	+	14.1026i	−0.310948	+	0.680881i
$430$	13.5612	−	32.8376i	0.653979	−	1.58357i
$431$	−17.6017	+	5.16832i	−0.847843	+	0.248949i	−0.676665	−	0.736291i	$-0.736576\pi$
$431$	−17.6017	+	5.16832i	−0.847843	+	0.248949i	−0.171178	+	0.985240i	$0.554757\pi$
$432$	−22.3887	−	3.12264i	−1.07718	−	0.150238i
$433$	−3.46344	+	11.7954i	−0.166442	+	0.566850i	0.833456	+	0.552586i	$0.186359\pi$
$433$	−3.46344	+	11.7954i	−0.166442	+	0.566850i	−0.999898	+	0.0142643i	$0.995459\pi$
$434$	2.73549	−	1.90356i	0.131308	−	0.0913740i
$435$	−15.1797	−	2.18251i	−0.727812	−	0.104644i
$436$	20.0816	−	7.53836i	0.961735	−	0.361022i
$437$	−7.59534	−	9.17964i	−0.363335	−	0.439122i
$438$	12.7878	−	2.32111i	0.611025	−	0.110907i
$439$	−14.2561	−	2.04971i	−0.680404	−	0.0978274i	−0.206557	−	0.978435i	$-0.566226\pi$
$439$	−14.2561	−	2.04971i	−0.680404	−	0.0978274i	−0.473847	+	0.880607i	$0.657135\pi$
$440$	−6.48345	+	9.40132i	−0.309086	+	0.448190i
$441$	−5.80359	−	1.70409i	−0.276361	−	0.0811471i
$442$	−3.21887	−	2.58833i	−0.153106	−	0.123114i
$443$	−14.7160	+	4.32100i	−0.699177	+	0.205297i	−0.611956	−	0.790892i	$-0.709617\pi$
$443$	−14.7160	+	4.32100i	−0.699177	+	0.205297i	−0.0872216	+	0.996189i	$0.527799\pi$
$444$	18.4434	+	3.97138i	0.875286	+	0.188474i
$445$	−37.0179	−	16.9055i	−1.75482	−	0.801399i
$446$	−0.0741237	−	0.0438740i	−0.00350986	−	0.00207749i
$447$	21.3672	−	13.7318i	1.01063	−	0.649494i
$448$	3.82656	+	1.39971i	0.180788	+	0.0661300i
$449$	−0.990455	−	6.88877i	−0.0467425	−	0.325101i	−0.999754	−	0.0221678i	$-0.992943\pi$
$449$	−0.990455	−	6.88877i	−0.0467425	−	0.325101i	0.953012	−	0.302933i	$-0.0979659\pi$
$450$	−1.28020	+	1.19443i	−0.0603493	+	0.0563062i
$451$	−1.37366	−	1.19028i	−0.0646830	−	0.0560482i
$452$	15.4675	+	1.07346i	0.727532	+	0.0504915i
$453$	0.669449	−	1.04168i	0.0314534	−	0.0489425i
$454$	7.88530	+	15.7114i	0.370076	+	0.737373i
$455$	6.50261	−	5.63454i	0.304847	−	0.264151i
$456$	−2.55109	−	9.86470i	−0.119466	−	0.461957i
$457$	−13.9164	+	6.35539i	−0.650980	+	0.297293i	−0.713400	−	0.700757i	$-0.752846\pi$
$457$	−13.9164	+	6.35539i	−0.650980	+	0.297293i	0.0624197	+	0.998050i	$0.480118\pi$
$458$	1.21106	+	32.9349i	0.0565893	+	1.53895i
$459$			2.46781i			0.115188i
$460$	−23.7743	+	4.65972i	−1.10848	+	0.217261i
$461$			34.5477i			1.60904i	0.593922	+	0.804522i	$0.297579\pi$
$461$			34.5477i			1.60904i	−0.593922	+	0.804522i	$0.702421\pi$
$462$	−1.66848	+	0.0613521i	−0.0776245	+	0.00285436i
$463$	−22.4336	+	10.2451i	−1.04258	+	0.476130i	−0.861722	−	0.507380i	$-0.830614\pi$
$463$	−22.4336	+	10.2451i	−1.04258	+	0.476130i	−0.180856	+	0.983510i	$0.557887\pi$
$464$	7.02190	+	15.2057i	0.325984	+	0.705906i
$465$	−12.8070	+	11.0974i	−0.593913	+	0.514628i
$466$	10.0997	−	5.06886i	0.467858	−	0.234810i
$467$	−8.97594	+	13.9668i	−0.415357	+	0.646308i	−0.984389	−	0.176008i	$-0.943682\pi$
$467$	−8.97594	+	13.9668i	−0.415357	+	0.646308i	0.569032	+	0.822315i	$0.307318\pi$
$468$	11.9747	+	0.831060i	0.553532	+	0.0384157i
$469$	−1.20254	−	1.04200i	−0.0555279	−	0.0481152i
$470$	−3.30881	−	3.54640i	−0.152624	−	0.163583i
$471$	3.59141	+	24.9788i	0.165483	+	1.15096i
$472$	21.1892	+	26.1245i	0.975311	+	1.20248i
$473$	13.3753	−	8.59581i	0.614999	−	0.395236i
$474$	17.2301	−	29.1097i	0.791405	−	1.33705i
$475$	−3.11790	−	1.42390i	−0.143059	−	0.0653330i
$476$	0.0936342	−	0.434844i	0.00429172	−	0.0199311i
$477$	4.27496	−	1.25524i	0.195737	−	0.0574736i
$478$	15.6866	−	19.5079i	0.717486	−	0.892271i
$479$	−32.0881	−	9.42192i	−1.46614	−	0.430499i	−0.551300	−	0.834307i	$-0.685868\pi$
$479$	−32.0881	−	9.42192i	−1.46614	−	0.430499i	−0.914843	+	0.403809i	$0.867686\pi$
$480$	−20.1017	−	5.01788i	−0.917515	−	0.229034i
$481$	−43.0673	−	6.19215i	−1.96370	−	0.282338i
$482$	3.11166	+	17.1432i	0.141732	+	0.780853i
$483$	−2.62329	−	2.37978i	−0.119364	−	0.108284i
$484$	15.8119	−	5.93557i	0.718723	−	0.269798i
$485$	9.73473	+	1.39964i	0.442031	+	0.0635545i
$486$	−7.24966	−	10.4180i	−0.328851	−	0.472571i
$487$	−2.11947	+	7.21825i	−0.0960423	+	0.327090i	−0.993473	−	0.114065i	$-0.963613\pi$
$487$	−2.11947	+	7.21825i	−0.0960423	+	0.327090i	0.897431	+	0.441155i	$0.145431\pi$
$488$	−22.9385	−	7.55412i	−1.03838	−	0.341959i
$489$	11.6358	−	3.41658i	0.526190	−	0.154503i
$490$	−22.2545	−	9.19064i	−1.00536	−	0.415191i
$491$	10.2013	−	22.3378i	0.460380	−	1.00809i	−0.527021	−	0.849852i	$-0.676691\pi$
$491$	10.2013	−	22.3378i	0.460380	−	1.00809i	0.987401	−	0.158239i	$-0.0505817\pi$
$492$	1.14585	−	3.09204i	0.0516588	−	0.139400i
$493$	1.53818	−	0.988530i	0.0692762	−	0.0445211i
$494$	7.44448	+	22.2886i	0.334943	+	1.00281i
$495$	−3.58625	+	0.515625i	−0.161190	+	0.0231756i
$496$	17.7796	+	5.13917i	0.798327	+	0.230756i
$497$	−0.814781	−	0.706012i	−0.0365479	−	0.0316690i
$498$	−22.8682	−	5.81108i	−1.02475	−	0.260401i
$499$	4.63975	+	2.98178i	0.207704	+	0.133483i	0.640357	−	0.768077i	$-0.278786\pi$
$499$	4.63975	+	2.98178i	0.207704	+	0.133483i	−0.432654	+	0.901560i	$0.642423\pi$
$500$	14.6174	−	10.9907i	0.653711	−	0.491517i
$501$	−20.2172	+	17.5183i	−0.903239	+	0.782661i
$502$	−1.51458	+	14.2289i	−0.0675991	+	0.635067i
$503$	−6.60184	−	14.4560i	−0.294362	−	0.644562i	0.703446	−	0.710749i	$-0.251644\pi$
$503$	−6.60184	−	14.4560i	−0.294362	−	0.644562i	−0.997807	+	0.0661871i	$0.978917\pi$
$504$	0.498461	+	1.19270i	0.0222032	+	0.0531272i
$505$		−	38.3658i		−	1.70725i
$506$	−9.92419	−	4.36548i	−0.441184	−	0.194069i
$507$	46.0171			2.04369
$508$	1.51863	−	0.333716i	0.0673785	−	0.0148063i
$509$	6.10252	−	2.78693i	0.270490	−	0.123528i	−0.275553	−	0.961286i	$-0.588861\pi$
$509$	6.10252	−	2.78693i	0.270490	−	0.123528i	0.546043	+	0.837757i	$0.316134\pi$
$510$	−0.239405	+	2.24912i	−0.0106011	+	0.0995926i
$511$	−2.11383	−	2.43950i	−0.0935105	−	0.107917i
$512$	7.34924	+	21.4007i	0.324794	+	0.945785i
$513$	7.59055	−	11.8111i	0.335131	−	0.521474i
$514$	−5.25314	+	20.6726i	−0.231706	+	0.911828i
$515$	0.332267	−	0.383457i	0.0146414	−	0.0168971i
$516$	23.1278	+	17.2372i	1.01814	+	0.758826i
$517$	−0.308907	−	2.14850i	−0.0135857	−	0.0944908i
$518$	−1.48442	−	4.44431i	−0.0652215	−	0.195272i
$519$	2.28164	+	3.55030i	0.100153	+	0.155841i
$520$	47.0498	+	8.33506i	2.06327	+	0.365516i
$521$	35.9157	+	16.4021i	1.57349	+	0.718591i	0.995257	−	0.0972775i	$-0.0310134\pi$
$521$	35.9157	+	16.4021i	1.57349	+	0.718591i	0.578238	+	0.815868i	$0.303741\pi$
$522$	−2.02827	+	4.91132i	−0.0887749	+	0.214963i
$523$	−3.39954	−	11.5778i	−0.148652	−	0.506261i	0.851175	−	0.524882i	$-0.175891\pi$
$523$	−3.39954	−	11.5778i	−0.148652	−	0.506261i	−0.999827	+	0.0186211i	$0.994072\pi$
$524$	−0.585370	−	0.318035i	−0.0255720	−	0.0138934i
$525$	−0.977684	−	0.287074i	−0.0426696	−	0.0125289i
$526$	−22.6940	−	32.6121i	−0.989505	−	1.42195i
$527$	0.287538	−	1.99987i	0.0125254	−	0.0871157i
$528$	−6.10135	−	6.98159i	−0.265527	−	0.303835i
$529$	−8.59242	−	21.3347i	−0.373583	−	0.927597i
$530$	17.4506	−	3.16745i	0.758005	−	0.137585i
$531$	−1.51874	+	10.5631i	−0.0659077	+	0.458398i
$532$	−1.78564	+	1.79320i	−0.0774175	+	0.0777449i
$533$	−2.14256	+	7.29690i	−0.0928047	+	0.316064i
$534$	20.7047	−	25.7485i	0.895980	−	1.11425i
$535$	−8.83997	−	30.1062i	−0.382185	−	1.30160i
$536$	0.287445	−	8.83178i	0.0124157	−	0.381475i
$537$	−1.00648	+	2.20387i	−0.0434326	+	0.0951042i
$538$	7.90724	+	4.68031i	0.340905	+	0.201783i
$539$	−5.82551	−	9.06467i	−0.250923	−	0.390443i
$540$	−13.7347	−	25.0275i	−0.591046	−	1.07701i
$541$	9.58882	−	1.37866i	0.412256	−	0.0592734i	0.0669330	−	0.997757i	$-0.478679\pi$
$541$	9.58882	−	1.37866i	0.412256	−	0.0592734i	0.345323	+	0.938484i	$0.387770\pi$
$542$	−27.2646	−	29.2224i	−1.17111	−	1.25521i
$543$	11.5116	−	13.2850i	0.494008	−	0.570116i
$544$	2.20306	−	1.11734i	0.0944555	−	0.0479057i
$545$	22.7889	+	14.6455i	0.976167	+	0.627345i
$546$	3.13350	+	6.24347i	0.134101	+	0.267196i
$547$	22.4548	+	25.9142i	0.960098	+	1.10801i	0.994087	+	0.108590i	$0.0346336\pi$
$547$	22.4548	+	25.9142i	0.960098	+	1.10801i	−0.0339886	+	0.999422i	$0.510821\pi$
$548$	2.17707	+	29.5628i	0.0929999	+	1.26286i
$549$	−3.18286	−	6.96949i	−0.135841	−	0.297451i
$550$	−3.11698	+	0.114616i	−0.132908	+	0.00488723i
$551$	−10.4024			−0.443157
$552$	1.08717	−	19.6394i	0.0462731	−	0.835910i
$553$	−8.40134			−0.357261
$554$	34.6692	−	1.27483i	1.47295	−	0.0541625i
$555$	9.89773	+	21.6730i	0.420135	+	0.919968i
$556$	13.8757	−	1.02184i	0.588463	−	0.0433358i
$557$	−18.5962	−	21.4611i	−0.787945	−	0.909337i	0.209712	−	0.977763i	$-0.432748\pi$
$557$	−18.5962	−	21.4611i	−0.787945	−	0.909337i	−0.997656	+	0.0684267i	$0.978202\pi$
$558$	2.63377	+	5.24777i	0.111497	+	0.222156i
$559$	−55.9629	−	35.9652i	−2.36698	−	1.52117i
$560$	1.47054	+	4.93113i	0.0621417	+	0.208378i
$561$	−0.662856	+	0.764977i	−0.0279858	+	0.0322973i
$562$	−17.9025	−	19.1881i	−0.755173	−	0.809400i
$563$	24.0201	−	3.45356i	1.01233	−	0.145550i	0.383863	−	0.923390i	$-0.374594\pi$
$563$	24.0201	−	3.45356i	1.01233	−	0.145550i	0.628463	+	0.777840i	$0.283685\pi$
$564$	3.45223	−	1.89453i	0.145365	−	0.0797740i
$565$	10.5863	+	16.4726i	0.445369	+	0.693007i
$566$	−3.90750	−	2.31285i	−0.164244	−	0.0972165i
$567$	1.16426	−	2.54937i	0.0488943	−	0.107064i
$568$	0.194759	−	5.98400i	0.00817192	−	0.251083i
$569$	−7.48234	−	25.4825i	−0.313676	−	1.06828i	−0.953908	−	0.300101i	$-0.902980\pi$
$569$	−7.48234	−	25.4825i	−0.313676	−	1.06828i	0.640231	−	0.768182i	$-0.278838\pi$
$570$	8.06370	−	10.0281i	0.337751	−	0.420030i
$571$	9.37066	−	31.9135i	0.392150	−	1.33554i	−0.492917	−	0.870076i	$-0.664069\pi$
$571$	9.37066	−	31.9135i	0.392150	−	1.33554i	0.885067	−	0.465464i	$-0.154113\pi$
$572$	15.1523	+	15.0885i	0.633550	+	0.630882i
$573$	3.11325	−	21.6531i	0.130058	−	0.904571i
$574$	−0.805818	+	0.146264i	−0.0336342	+	0.00610492i
$575$	−4.90073	−	4.44580i	−0.204375	−	0.185403i
$576$	−3.40044	+	6.32225i	−0.141685	+	0.263427i
$577$	−3.31814	+	23.0782i	−0.138136	+	0.960757i	0.796370	+	0.604810i	$0.206751\pi$
$577$	−3.31814	+	23.0782i	−0.138136	+	0.960757i	−0.934506	+	0.355947i	$0.884158\pi$
$578$	13.5783	+	19.5125i	0.564782	+	0.811612i
$579$	−28.1073	−	8.25306i	−1.16810	−	0.342985i
$580$	−10.0979	+	18.5860i	−0.419293	+	0.771743i
$581$	1.65099	+	5.62275i	0.0684946	+	0.233271i
$582$	−3.04788	+	7.38025i	−0.126339	+	0.305921i
$583$	7.21982	+	3.29718i	0.299014	+	0.136555i
$584$	3.12695	−	17.6510i	0.129394	−	0.730405i
$585$	8.19574	+	12.7528i	0.338852	+	0.527264i
$586$	7.27611	+	21.7845i	0.300573	+	0.899909i
$587$	−0.809158	−	5.62781i	−0.0333975	−	0.232285i	0.966285	−	0.257474i	$-0.0828902\pi$
$587$	−0.809158	−	5.62781i	−0.0333975	−	0.232285i	−0.999683	+	0.0251894i	$0.991981\pi$
$588$	11.6819	−	15.6740i	0.481754	−	0.646387i
$589$	−7.52743	+	8.68712i	−0.310162	+	0.357946i
$590$	−10.4623	+	41.1722i	−0.430728	+	1.69503i
$591$	6.32395	−	9.84025i	0.260132	−	0.404774i
$592$	13.9757	−	21.9497i	0.574396	−	0.902125i
$593$	−21.1716	−	24.4334i	−0.869415	−	1.00336i	−0.999929	−	0.0119120i	$-0.996208\pi$
$593$	−21.1716	−	24.4334i	−0.869415	−	1.00336i	0.130514	−	0.991446i	$-0.458337\pi$
$594$	1.35229	−	12.7042i	0.0554851	−	0.521261i
$595$	0.510989	−	0.233361i	0.0209485	−	0.00956686i
$596$	−7.51880	−	34.2157i	−0.307982	−	1.40153i
$597$	−19.2333			−0.787166
$598$	0.634604	+	45.3585i	0.0259509	+	1.85485i
$599$		−	35.3233i		−	1.44327i	−0.692274	−	0.721634i	$-0.743391\pi$
$599$		−	35.3233i		−	1.44327i	0.692274	−	0.721634i	$-0.256609\pi$
$600$	−2.18202	−	5.22106i	−0.0890805	−	0.213149i
$601$	−8.36450	−	18.3157i	−0.341195	−	0.747113i	0.658791	−	0.752326i	$-0.271068\pi$
$601$	−8.36450	−	18.3157i	−0.341195	−	0.747113i	−0.999986	+	0.00521248i	$0.998341\pi$
$602$	0.758277	−	7.12371i	0.0309051	−	0.290341i
$603$	2.11869	−	1.83586i	0.0862798	−	0.0747619i
$604$	−1.02637	−	1.36505i	−0.0417623	−	0.0555433i
$605$	17.9435	+	11.5316i	0.729508	+	0.468826i
$606$	30.1895	+	7.67149i	1.22636	+	0.311633i
$607$	34.1884	+	29.6244i	1.38766	+	1.20242i	0.953429	+	0.301616i	$0.0975261\pi$
$607$	34.1884	+	29.6244i	1.38766	+	1.20242i	0.434233	+	0.900800i	$0.357019\pi$
$608$	−13.9808	−	1.42854i	−0.566995	−	0.0579348i
$609$	−3.06091	+	0.440092i	−0.124034	+	0.0178334i
$610$	−9.66228	−	28.9286i	−0.391214	−	1.17129i
$611$	−7.64012	+	4.91001i	−0.309086	+	0.198638i
$612$	0.734856	+	0.272323i	0.0297048	+	0.0110080i
$613$	6.93837	−	15.1929i	0.280238	−	0.613636i	−0.716206	−	0.697889i	$-0.754123\pi$
$613$	6.93837	−	15.1929i	0.280238	−	0.613636i	0.996444	+	0.0842526i	$0.0268503\pi$
$614$	−13.2004	−	5.45150i	−0.532727	−	0.220004i
$615$	3.99577	−	1.17326i	0.161125	−	0.0473106i
$616$	−0.720309	+	2.18726i	−0.0290221	+	0.0881272i
$617$	0.845385	−	2.87912i	0.0340339	−	0.115909i	−0.940724	−	0.339173i	$-0.889853\pi$
$617$	0.845385	−	2.87912i	0.0340339	−	0.115909i	0.974758	+	0.223264i	$0.0716711\pi$
$618$	0.235298	+	0.338131i	0.00946506	+	0.0136016i
$619$	−4.66418	−	0.670608i	−0.187469	−	0.0269540i	0.0479407	−	0.998850i	$-0.484734\pi$
$619$	−4.66418	−	0.670608i	−0.187469	−	0.0269540i	−0.235410	+	0.971896i	$0.575643\pi$
$620$	8.21425	+	21.8821i	0.329892	+	0.878808i
$621$	20.8818	−	17.2778i	0.837956	−	0.693335i
$622$	3.15419	+	17.3776i	0.126471	+	0.696777i
$623$	−8.12250	−	1.16784i	−0.325421	−	0.0467885i
$624$	−15.9667	+	35.3562i	−0.639178	+	1.41538i
$625$	28.7799	+	8.45055i	1.15120	+	0.338022i
$626$	−16.1902	+	20.1342i	−0.647090	+	0.804725i
$627$	5.52541	−	1.62241i	0.220664	−	0.0647927i
$628$	34.0266	+	7.32687i	1.35781	+	0.292374i
$629$	−2.58400	−	1.18008i	−0.103031	−	0.0470527i
$630$	−0.831545	+	1.40487i	−0.0331295	+	0.0559713i
$631$	−24.8045	+	15.9409i	−0.987453	+	0.634598i	−0.931464	−	0.363834i	$-0.881468\pi$
$631$	−24.8045	+	15.9409i	−0.987453	+	0.634598i	−0.0559891	+	0.998431i	$0.517831\pi$
$632$	−29.3900	−	36.2354i	−1.16907	−	1.44137i
$633$	4.85431	+	33.7625i	0.192941	+	1.34194i
$634$	14.9027	+	15.9728i	0.591862	+	0.634361i
$635$	1.48403	+	1.28592i	0.0588918	+	0.0510301i
$636$	−0.996946	+	14.3650i	−0.0395315	+	0.569609i
$637$	−24.3742	+	37.9269i	−0.965740	+	1.50272i
$638$	−8.46021	+	4.24604i	−0.334943	+	0.168103i
$639$	1.43553	−	1.24389i	0.0567885	−	0.0492075i
$640$	−16.1239	+	23.5928i	−0.637353	+	0.932588i
$641$	−23.2071	+	10.5983i	−0.916627	+	0.418609i	−0.817146	−	0.576430i	$-0.804445\pi$
$641$	−23.2071	+	10.5983i	−0.916627	+	0.418609i	−0.0994803	+	0.995040i	$0.531718\pi$
$642$	25.4577	−	0.936117i	1.00474	−	0.0369456i
$643$			38.0520i			1.50062i	0.661084	+	0.750312i	$0.270097\pi$
$643$			38.0520i			1.50062i	−0.661084	+	0.750312i	$0.729903\pi$
$644$	−4.33506	+	2.25216i	−0.170825	+	0.0887477i
$645$			36.4280i			1.43435i
$646$	0.0563770	+	1.53318i	0.00221812	+	0.0603220i
$647$	32.8122	−	14.9848i	1.28998	−	0.589114i	0.352063	−	0.935976i	$-0.385480\pi$
$647$	32.8122	−	14.9848i	1.28998	−	0.589114i	0.937916	+	0.346863i	$0.112753\pi$
$648$	15.0684	−	3.89683i	0.591945	−	0.153082i
$649$	−14.3675	+	12.4495i	−0.563974	+	0.488686i
$650$	5.85388	+	11.6638i	0.229608	+	0.457492i
$651$	−1.84742	+	2.87465i	−0.0724062	+	0.112666i
$652$	1.15804	−	16.6862i	0.0453523	−	0.653481i
$653$	11.3670	+	9.84954i	0.444824	+	0.385442i	0.848272	−	0.529560i	$-0.177643\pi$
$653$	11.3670	+	9.84954i	0.444824	+	0.385442i	−0.403448	+	0.915003i	$0.632188\pi$
$654$	−16.0811	+	15.0038i	−0.628822	+	0.586693i
$655$	−0.119734	−	0.832766i	−0.00467838	−	0.0325389i
$656$	−3.44979	−	2.96387i	−0.134692	−	0.115720i
$657$	4.78430	−	3.07469i	0.186654	−	0.119955i
$658$	−0.841647	−	0.498173i	−0.0328108	−	0.0194208i
$659$	1.89093	+	0.863561i	0.0736604	+	0.0336396i	0.451905	−	0.892066i	$-0.350745\pi$
$659$	1.89093	+	0.863561i	0.0736604	+	0.0336396i	−0.378244	+	0.925706i	$0.623472\pi$
$660$	2.46491	−	11.4472i	0.0959463	−	0.445582i
$661$	−29.3886	+	8.62928i	−1.14309	+	0.335640i	−0.797838	−	0.602872i	$-0.794023\pi$
$661$	−29.3886	+	8.62928i	−1.14309	+	0.335640i	−0.345247	+	0.938512i	$0.612205\pi$
$662$	−32.0731	−	25.7904i	−1.24656	−	1.00237i
$663$	4.06357	+	1.19317i	0.157816	+	0.0463390i
$664$	−18.4756	+	26.7906i	−0.716994	+	1.03968i
$665$	−3.16341	−	0.454830i	−0.122672	−	0.0176375i
$666$	8.12272	−	1.47435i	0.314749	−	0.0571299i
$667$	−19.1338	−	6.09460i	−0.740865	−	0.235984i
$668$	12.9670	+	34.5432i	0.501710	+	1.33652i
$669$	0.0874191	+	0.0125690i	0.00337982	+	0.000485945i
$670$	9.16001	−	6.37424i	0.353882	−	0.246258i
$671$	3.84541	−	13.0963i	0.148450	−	0.505576i
$672$	−4.17428	+	0.171135i	−0.161026	+	0.00660166i
$673$	−10.4876	+	3.07945i	−0.404269	+	0.118704i	−0.477544	−	0.878608i	$-0.658473\pi$
$673$	−10.4876	+	3.07945i	−0.404269	+	0.118704i	0.0732753	+	0.997312i	$0.476655\pi$
$674$	3.08665	−	7.47412i	0.118893	−	0.287892i
$675$	3.23907	−	7.09258i	0.124672	−	0.272993i
$676$	22.0548	−	59.5144i	0.848262	−	2.28902i
$677$	11.9262	−	7.66448i	0.458360	−	0.294570i	−0.291012	−	0.956719i	$-0.593992\pi$
$677$	11.9262	−	7.66448i	0.458360	−	0.294570i	0.749372	+	0.662150i	$0.230356\pi$
$678$	−15.0788	+	5.03640i	−0.579100	+	0.193422i
$679$	1.96296	−	0.282230i	0.0753313	−	0.0108310i
$680$	2.79406	+	1.38757i	0.107147	+	0.0532108i
$681$	−13.6221	−	11.8036i	−0.522001	−	0.452317i
$682$	−2.57611	+	10.1377i	−0.0986444	+	0.388193i
$683$	−2.16577	−	1.39186i	−0.0828711	−	0.0532580i	0.498549	−	0.866861i	$-0.333866\pi$
$683$	−2.16577	−	1.39186i	−0.0828711	−	0.0532580i	−0.581420	+	0.813603i	$0.697503\pi$
$684$	−2.67946	−	3.56364i	−0.102452	−	0.136259i
$685$	−28.2923	+	24.5154i	−1.08099	+	0.936685i
$686$	−9.84149	−	1.04757i	−0.375750	−	0.0399964i
$687$	−14.0379	−	30.7387i	−0.535579	−	1.17275i
$688$	33.3776	−	21.6500i	1.27251	−	0.825399i
$689$		−	33.2090i		−	1.26516i
$690$	20.7074	−	13.7209i	0.788317	−	0.522347i
$691$	14.1895			0.539792			0.269896	−	0.962889i	$-0.413011\pi$
$691$	14.1895			0.539792			0.269896	+	0.962889i	$0.413011\pi$
$692$	5.68516	−	1.24930i	0.216117	−	0.0474912i
$693$	−0.664563	+	0.303496i	−0.0252446	+	0.0115288i
$694$	−21.1363	−	2.24983i	−0.802322	−	0.0854024i
$695$	11.5067	+	13.2794i	0.436473	+	0.503717i
$696$	−12.6060	−	11.6623i	−0.477827	−	0.442058i
$697$	−0.268437	+	0.417696i	−0.0101678	+	0.0158213i
$698$	28.5453	+	7.25369i	1.08046	+	0.274556i
$699$	−7.58766	+	8.75663i	−0.286992	+	0.331206i
$700$	−0.839854	+	1.12686i	−0.0317435	+	0.0425913i
$701$	−0.566568	−	3.94057i	−0.0213990	−	0.148833i	0.976321	−	0.216329i	$-0.0694083\pi$
$701$	−0.566568	−	3.94057i	−0.0213990	−	0.148833i	−0.997720	+	0.0674954i	$0.978499\pi$
$702$	−50.7019	+	16.9346i	−1.91362	+	0.639157i
$703$	8.73753	+	13.5959i	0.329542	+	0.512778i
$704$	−11.9536	+	4.54484i	−0.450517	+	0.171290i
$705$	4.52378	+	2.06594i	0.170375	+	0.0778079i
$706$	−22.4487	−	9.27081i	−0.844866	−	0.348911i
$707$	−2.17955	−	7.42288i	−0.0819705	−	0.279166i
$708$	−30.3058	−	16.4653i	−1.13896	−	0.618805i
$709$	17.6039	+	5.16897i	0.661128	+	0.194125i	0.595049	−	0.803690i	$-0.297133\pi$
$709$	17.6039	+	5.16897i	0.661128	+	0.194125i	0.0660793	+	0.997814i	$0.478951\pi$
$710$	6.20639	−	4.31888i	0.232922	−	0.162085i
$711$	2.10653	−	14.6513i	0.0790012	−	0.549465i
$712$	−23.3776	−	39.1182i	−0.876111	−	1.46601i
$713$	−18.9353	+	11.5686i	−0.709134	+	0.433247i
$714$	0.0814527	+	0.448752i	0.00304829	+	0.0167941i
$715$	−3.84326	+	26.7305i	−0.143730	+	0.999662i
$716$	2.36791	+	2.35794i	0.0884931	+	0.0881205i
$717$	−7.23121	+	24.6272i	−0.270055	+	0.919721i
$718$	11.3250	+	9.10658i	0.422645	+	0.339854i
$719$	0.723694	+	2.46467i	0.0269892	+	0.0919169i	0.971886	−	0.235451i	$-0.0756566\pi$
$719$	0.723694	+	2.46467i	0.0269892	+	0.0919169i	−0.944897	+	0.327368i	$0.893838\pi$
$720$	−8.96822	+	1.32808i	−0.334226	+	0.0494948i
$721$	0.0425018	−	0.0930660i	0.00158285	−	0.00346596i
$722$	−9.24065	+	15.6118i	−0.343901	+	0.581010i
$723$	−9.65851	−	15.0289i	−0.359204	−	0.558932i
$724$	−11.6645	−	21.2552i	−0.433507	−	0.789942i
$725$	−5.71826	+	0.822162i	−0.212371	+	0.0305343i
$726$	−12.6620	+	11.8137i	−0.469930	+	0.438447i
$727$	−19.7151	+	22.7525i	−0.731194	+	0.843843i	−0.992606	−	0.121384i	$-0.961267\pi$
$727$	−19.7151	+	22.7525i	−0.731194	+	0.843843i	0.261411	+	0.965227i	$0.415812\pi$
$728$	9.57654	−	1.06025i	0.354930	−	0.0392956i
$729$	24.8357	+	15.9609i	0.919839	+	0.591145i
$730$	20.2334	−	10.1548i	0.748870	−	0.375846i
$731$	−2.84419	−	3.28237i	−0.105196	−	0.121403i
$732$	24.6956	−	1.81864i	0.912774	−	0.0672188i
$733$	13.8839	+	30.4016i	0.512815	+	1.12291i	0.972089	+	0.234613i	$0.0753822\pi$
$733$	13.8839	+	30.4016i	0.512815	+	1.12291i	−0.459274	+	0.888294i	$0.651891\pi$
$734$	1.26423	+	34.3808i	0.0466635	+	1.26902i
$735$	24.6878			0.910625
$736$	−24.8788	−	10.8187i	−0.917045	−	0.398783i
$737$	4.99413			0.183961
$738$	−0.0530227	−	1.44196i	−0.00195179	−	0.0530792i
$739$	−16.1296	−	35.3190i	−0.593339	−	1.29923i	−0.933404	−	0.358828i	$-0.883176\pi$
$739$	−16.1296	−	35.3190i	−0.593339	−	1.29923i	0.340065	−	0.940402i	$-0.389551\pi$
$740$	32.7736	−	2.41353i	1.20478	−	0.0887230i
$741$	−15.7786	−	18.2094i	−0.579640	−	0.668940i
$742$	3.19634	−	1.60419i	0.117341	−	0.0588917i
$743$	−4.22325	−	2.71412i	−0.154936	−	0.0995714i	0.460876	−	0.887465i	$-0.347535\pi$
$743$	−4.22325	−	2.71412i	−0.154936	−	0.0995714i	−0.615812	+	0.787893i	$0.711172\pi$
$744$	−18.8612	+	2.08819i	−0.691487	+	0.0765569i
$745$	28.9724	−	33.4359i	1.06147	−	1.22500i
$746$	−11.1832	+	10.4340i	−0.409446	+	0.382015i
$747$	−10.2196	+	1.46936i	−0.373915	+	0.0537609i
$748$	0.671662	+	1.22391i	0.0245584	+	0.0447506i
$749$	−3.42066	−	5.32264i	−0.124988	−	0.194485i
$750$	−9.55149	+	16.1369i	−0.348771	+	0.589238i
$751$	6.90019	−	15.1093i	0.251792	−	0.551347i	−0.740958	−	0.671552i	$-0.765628\pi$
$751$	6.90019	−	15.1093i	0.251792	−	0.551347i	0.992749	+	0.120205i	$0.0383553\pi$
$752$	−0.795646	−	5.37280i	−0.0290142	−	0.195926i
$753$	−4.13356	−	14.0776i	−0.150635	−	0.513017i
$754$	30.8650	+	24.8189i	1.12404	+	0.903851i
$755$	0.607661	−	2.06950i	0.0221150	−	0.0753169i
$756$	−4.07914	−	4.06197i	−0.148357	−	0.147732i
$757$	−0.817382	+	5.68502i	−0.0297083	+	0.206625i	−0.999269	−	0.0382248i	$-0.987830\pi$
$757$	−0.817382	+	5.68502i	−0.0297083	+	0.206625i	0.969561	+	0.244850i	$0.0787388\pi$
$758$	9.30259	+	51.2513i	0.337885	+	1.86153i
$759$	11.1138	+	0.253048i	0.403406	+	0.00918507i
$760$	−9.10468	−	15.2351i	−0.330262	−	0.552633i
$761$	−2.65206	+	18.4455i	−0.0961371	+	0.668648i	0.883583	+	0.468275i	$0.155124\pi$
$761$	−2.65206	+	18.4455i	−0.0961371	+	0.668648i	−0.979720	+	0.200373i	$0.935785\pi$
$762$	−1.30861	+	0.910632i	−0.0474060	+	0.0329887i
$763$	5.24112	+	1.53893i	0.189741	+	0.0557130i
$764$	−26.5121	−	14.4041i	−0.959173	−	0.521124i
$765$	0.278838	+	0.949637i	0.0100814	+	0.0343342i
$766$	−40.9623	−	16.9165i	−1.48003	−	0.611219i
$767$	72.3544	+	33.0432i	2.61257	+	1.19312i
$768$	−15.3408	−	17.4052i	−0.553563	−	0.628057i
$769$	3.74128	+	5.82154i	0.134914	+	0.209930i	0.902136	−	0.431451i	$-0.141998\pi$
$769$	3.74128	+	5.82154i	0.134914	+	0.209930i	−0.767222	+	0.641381i	$0.778362\pi$
$770$	−2.75843	+	0.921328i	−0.0994070	+	0.0332024i
$771$	−3.11245	−	21.6475i	−0.112092	−	0.779617i
$772$	−24.1449	+	32.3960i	−0.868992	+	1.16596i
$773$	−17.6615	+	20.3825i	−0.635240	+	0.733106i	−0.978526	−	0.206125i	$-0.933915\pi$
$773$	−17.6615	+	20.3825i	−0.635240	+	0.733106i	0.343286	+	0.939231i	$0.388460\pi$
$774$	12.2331	+	3.10856i	0.439708	+	0.111735i
$775$	−3.45128	+	5.37030i	−0.123974	+	0.192907i
$776$	8.08418	+	7.47901i	0.290205	+	0.268481i
$777$	3.14622	+	3.63093i	0.112870	+	0.130259i
$778$	12.4749	+	1.32788i	0.447247	+	0.0476069i
$779$	2.56952	−	1.17346i	0.0920625	−	0.0420435i
$780$	−47.8516	+	10.5153i	−1.71336	+	0.376507i
$781$	3.38379			0.121081
$782$	−0.794565	+	2.85310i	−0.0284136	+	0.102027i
$783$		−	23.6633i		−	0.845656i
$784$	−14.6725	−	22.6205i	−0.524020	−	0.807875i
$785$	18.2605	+	39.9849i	0.651745	+	1.42712i
$786$	0.679233	+	0.0723004i	0.0242275	+	0.00257887i
$787$	23.9018	−	20.7110i	0.852006	−	0.738268i	−0.114906	−	0.993376i	$-0.536657\pi$
$787$	23.9018	−	20.7110i	0.852006	−	0.738268i	0.966912	+	0.255109i	$0.0821112\pi$
$788$	−9.69559	−	12.8950i	−0.345391	−	0.459365i
$789$	34.2711	+	22.0247i	1.22008	+	0.784099i
$790$	14.5115	−	57.1070i	0.516297	−	2.03177i
$791$	2.98400	+	2.58565i	0.106099	+	0.0919353i
$792$	−3.63380	−	1.80459i	−0.129121	−	0.0641233i
$793$	−56.5273	+	8.12740i	−2.00734	+	0.288612i
$794$	17.0926	−	5.70901i	0.606595	−	0.202605i
$795$	−15.2984	+	9.83167i	−0.542578	+	0.348694i
$796$	−9.21801	+	24.8746i	−0.326724	+	0.881656i
$797$	7.08832	−	15.5212i	0.251081	−	0.549791i	−0.741560	−	0.670887i	$-0.765914\pi$
$797$	7.08832	−	15.5212i	0.251081	−	0.549791i	0.992641	+	0.121096i	$0.0386409\pi$
$798$	0.990444	−	2.39830i	0.0350613	−	0.0848987i
$799$	−0.568921	+	0.167050i	−0.0201270	+	0.00590981i
$800$	−7.79822	+	0.319707i	−0.275709	+	0.0113033i
$801$	4.07324	−	13.8722i	0.143921	−	0.490149i
$802$	−14.1259	+	9.82988i	−0.498803	+	0.347105i
$803$	10.0281	+	1.44182i	0.353884	+	0.0508809i
$804$	3.18419	+	8.48245i	0.112298	+	0.299153i
$805$	−5.55219	−	2.68999i	−0.195689	−	0.0948097i
$806$	43.0611	−	7.81599i	1.51676	−	0.275306i
$807$	−9.32555	−	1.34081i	−0.328275	−	0.0471988i
$808$	24.3906	−	35.3676i	0.858059	−	1.24423i
$809$	9.58059	+	2.81311i	0.336836	+	0.0989038i	0.445776	−	0.895144i	$-0.352928\pi$
$809$	9.58059	+	2.81311i	0.336836	+	0.0989038i	−0.108941	+	0.994048i	$0.534746\pi$
$810$	15.3180	+	12.3174i	0.538220	+	0.432790i
$811$	13.8588	−	4.06930i	0.486647	−	0.142893i	−0.0291992	−	0.999574i	$-0.509296\pi$
$811$	13.8588	−	4.06930i	0.486647	−	0.142893i	0.515846	+	0.856681i	$0.327478\pi$
$812$	−0.897837	+	4.16962i	−0.0315079	+	0.146325i
$813$	37.2760	+	17.0234i	1.30733	+	0.597036i
$814$	12.6557	+	7.49096i	0.443583	+	0.262558i
$815$	17.7704	−	11.4204i	0.622470	−	0.400037i
$816$	−1.65055	+	1.92116i	−0.0577808	+	0.0672539i
$817$	3.51652	+	24.4579i	0.123027	+	0.855674i
$818$	−31.0238	+	28.9454i	−1.08472	+	1.01205i
$819$	2.31017	+	2.00177i	0.0807238	+	0.0699476i
$820$	0.397674	−	5.73008i	0.0138874	−	0.200103i
$821$	−2.09240	+	3.25583i	−0.0730251	+	0.113629i	−0.875845	−	0.482592i	$-0.839695\pi$
$821$	−2.09240	+	3.25583i	−0.0730251	+	0.113629i	0.802820	+	0.596221i	$0.203332\pi$
$822$	−13.6336	−	27.1648i	−0.475526	−	0.947481i
$823$	25.7592	−	22.3205i	0.897910	−	0.778043i	−0.0778321	−	0.996966i	$-0.524800\pi$
$823$	25.7592	−	22.3205i	0.897910	−	0.778043i	0.975742	+	0.218923i	$0.0702544\pi$
$824$	0.550080	−	0.142255i	0.0191630	−	0.00495570i
$825$	2.90913	−	1.32855i	0.101283	−	0.0462543i
$826$	0.314771	+	8.56022i	0.0109523	+	0.297848i
$827$			48.8469i			1.69857i	0.527933	+	0.849286i	$0.322967\pi$
$827$			48.8469i			1.69857i	−0.527933	+	0.849286i	$0.677033\pi$
$828$	−2.84063	−	8.12470i	−0.0987187	−	0.282353i
$829$		−	10.3202i		−	0.358435i	−0.983809	−	0.179218i	$-0.942643\pi$
$829$		−	10.3202i		−	0.358435i	0.983809	−	0.179218i	$-0.0573566\pi$
$830$	−41.0716	+	1.51026i	−1.42562	+	0.0524219i
$831$	−32.3573	+	14.7771i	−1.12246	+	0.512611i
$832$	38.0740	+	37.5951i	1.31998	+	1.30338i
$833$	−2.22451	+	1.92755i	−0.0770749	+	0.0667857i
$834$	−12.7502	+	6.39913i	−0.441504	+	0.221584i
$835$	−25.1923	+	39.2000i	−0.871816	+	1.35657i
$836$	0.549910	−	7.92364i	0.0190190	−	0.274045i
$837$	−19.7614	−	17.1233i	−0.683053	−	0.591869i
$838$	7.57189	+	8.11560i	0.261567	+	0.280349i
$839$	4.73873	+	32.9586i	0.163599	+	1.13786i	0.891779	+	0.452471i	$0.149457\pi$
$839$	4.73873	+	32.9586i	0.163599	+	1.13786i	−0.728180	+	0.685386i	$0.759634\pi$
$840$	−3.32360	−	4.09773i	−0.114675	−	0.141385i
$841$	9.64707	−	6.19980i	0.332658	−	0.213786i
$842$	−8.90205	+	15.0397i	−0.306785	+	0.518304i
$843$	24.4763	+	11.1779i	0.843007	+	0.384989i
$844$	45.9918	+	9.90333i	1.58310	+	0.340887i
$845$	76.9090	−	22.5825i	2.64575	−	0.776862i
$846$	1.07981	−	1.34285i	0.0371245	−	0.0461683i
$847$	4.12676	+	1.21173i	0.141797	+	0.0416354i
$848$	18.1005	+	8.17411i	0.621575	+	0.280700i
$849$	4.60838	+	0.662584i	0.158159	+	0.0227398i
$850$	0.152167	+	0.838341i	0.00521927	+	0.0287549i
$851$	8.10593	+	30.1270i	0.277868	+	1.03274i
$852$	2.15746	+	5.74731i	0.0739133	+	0.196900i
$853$	−6.20060	−	0.891511i	−0.212304	−	0.0305248i	0.0353419	−	0.999375i	$-0.488748\pi$
$853$	−6.20060	−	0.891511i	−0.212304	−	0.0305248i	−0.247646	+	0.968851i	$0.579657\pi$
$854$	−3.51286	−	5.04810i	−0.120207	−	0.172742i
$855$	1.58637	−	5.40269i	0.0542528	−	0.184768i
$856$	10.9905	−	33.3734i	0.375649	−	1.14068i
$857$	−17.4586	+	5.12632i	−0.596376	+	0.175112i	−0.565970	−	0.824426i	$-0.691498\pi$
$857$	−17.4586	+	5.12632i	−0.596376	+	0.175112i	−0.0304059	+	0.999538i	$0.509680\pi$
$858$	−20.2653	−	8.36914i	−0.691847	−	0.285718i
$859$	−2.55132	+	5.58661i	−0.0870499	+	0.190613i	−0.948150	−	0.317822i	$-0.897048\pi$
$859$	−2.55132	+	5.58661i	−0.0870499	+	0.190613i	0.861100	+	0.508435i	$0.169776\pi$
$860$	47.1127	+	17.4590i	1.60653	+	0.595347i
$861$	0.706435	−	0.453998i	0.0240752	−	0.0154722i
$862$	−8.21889	−	24.6071i	−0.279936	−	0.838123i
$863$	21.3999	−	3.07684i	0.728460	−	0.104737i	0.231900	−	0.972740i	$-0.425506\pi$
$863$	21.3999	−	3.07684i	0.728460	−	0.104737i	0.496559	+	0.868003i	$0.334597\pi$
$864$	3.24962	−	31.8033i	0.110554	−	1.08197i
$865$	5.55560	+	4.81396i	0.188896	+	0.163679i
$866$	−16.8499	−	4.28176i	−0.572583	−	0.145500i
$867$	−20.5051	−	13.1778i	−0.696389	−	0.447542i
$868$	2.83239	+	3.76703i	0.0961374	+	0.127861i
$869$	19.9281	−	17.2678i	0.676015	−	0.585770i
$870$	2.29560	−	21.5663i	0.0778283	−	0.731165i
$871$	−8.68036	−	19.0073i	−0.294123	−	0.644039i
$872$	11.6972	+	27.9888i	0.396118	+	0.947819i
$873$			3.49400i			0.118254i
$874$	12.5785	−	11.2112i	0.425474	−	0.379225i
$875$	4.65727			0.157444
$876$	3.94487	+	17.9519i	0.133285	+	0.606537i
$877$	−23.5864	+	10.7716i	−0.796457	+	0.363730i	−0.771719	−	0.635964i	$-0.780603\pi$
$877$	−23.5864	+	10.7716i	−0.796457	+	0.363730i	−0.0247387	+	0.999694i	$0.507875\pi$
$878$	2.15592	−	20.2540i	0.0727588	−	0.683539i
$879$	−15.4217	−	17.7976i	−0.520161	−	0.600298i
$880$	−13.6234	−	8.67423i	−0.459245	−	0.292408i
$881$	−1.91004	+	2.97208i	−0.0643509	+	0.100132i	−0.871938	−	0.489617i	$-0.837137\pi$
$881$	−1.91004	+	2.97208i	−0.0643509	+	0.100132i	0.807587	+	0.589749i	$0.200773\pi$
$882$	2.10672	−	8.29053i	0.0709369	−	0.279157i
$883$	16.0038	−	18.4694i	0.538571	−	0.621544i	−0.419611	−	0.907704i	$-0.637833\pi$
$883$	16.0038	−	18.4694i	0.538571	−	0.621544i	0.958182	+	0.286160i	$0.0923789\pi$
$884$	3.49070	−	4.68360i	0.117405	−	0.157526i
$885$	−6.19886	−	43.1140i	−0.208372	−	1.44926i
$886$	−6.87144	−	20.5729i	−0.230851	−	0.691161i
$887$	−26.3467	−	40.9963i	−0.884637	−	1.37652i	−0.926059	−	0.377380i	$-0.876825\pi$
$887$	−26.3467	−	40.9963i	−0.884637	−	1.37652i	0.0414218	−	0.999142i	$-0.486811\pi$
$888$	−4.65413	+	26.2717i	−0.156183	+	0.881620i
$889$	0.360177	+	0.164487i	0.0120800	+	0.00551673i
$890$	21.9681	−	53.1944i	0.736374	−	1.78308i
$891$	2.47825	+	8.44014i	0.0830244	+	0.282755i
$892$	0.0581532	−	0.107036i	0.00194711	−	0.00358383i
$893$	3.23671	+	0.950385i	0.108313	+	0.0318034i
$894$	20.5170	+	29.4837i	0.686193	+	0.986083i
$895$	−0.600602	+	4.17728i	−0.0200759	+	0.139631i
$896$	−1.77929	+	5.48066i	−0.0594420	+	0.183096i
$897$	−18.3540	−	42.7383i	−0.612821	−	1.42699i
$898$	9.68413	−	1.75776i	0.323164	−	0.0586572i
$899$	−2.75714	+	19.1763i	−0.0919557	+	0.639566i
$900$	−1.75457	−	1.74718i	−0.0584858	−	0.0582395i
$901$	0.610843	−	2.08034i	0.0203501	−	0.0693062i
$902$	1.61079	−	2.00319i	0.0536334	−	0.0666989i
$903$	2.06947	+	7.04797i	0.0688677	+	0.234542i
$904$	−0.713274	+	21.9154i	−0.0237231	+	0.728896i
$905$	12.7199	−	27.8527i	0.422823	−	0.925853i
$906$	1.50696	+	0.891970i	0.0500653	+	0.0296337i
$907$	−8.26864	−	12.8662i	−0.274556	−	0.427217i	0.676405	−	0.736530i	$-0.263537\pi$
$907$	−8.26864	−	12.8662i	−0.274556	−	0.427217i	−0.950960	+	0.309313i	$0.899901\pi$
$908$	−21.7945	+	11.9605i	−0.723276	+	0.396922i
$909$	13.4914	−	1.93977i	0.447482	−	0.0643381i
$910$	8.30098	+	8.89705i	0.275175	+	0.294934i
$911$	11.9914	−	13.8388i	0.397292	−	0.458499i	−0.521495	−	0.853255i	$-0.674625\pi$
$911$	11.9914	−	13.8388i	0.397292	−	0.458499i	0.918786	+	0.394756i	$0.129171\pi$
$912$	13.8088	−	4.11800i	0.457255	−	0.136361i
$913$	−15.4730	−	9.94388i	−0.512081	−	0.329094i
$914$	−9.70501	−	19.3371i	−0.321013	−	0.639616i
$915$	20.4792	+	23.6342i	0.677021	+	0.781324i
$916$	−46.4826	+	3.42309i	−1.53583	+	0.113102i
$917$	−0.0704750	−	0.154319i	−0.00232729	−	0.00509605i
$918$	−3.48765	+	0.128246i	−0.115110	+	0.00423274i
$919$	−44.7052			−1.47469			−0.737344	−	0.675518i	$-0.763920\pi$
$919$	−44.7052			−1.47469			−0.737344	+	0.675518i	$0.763920\pi$
$920$	−7.82088	−	33.3571i	−0.257847	−	1.09975i
$921$	14.6438			0.482529
$922$	−48.8248	+	1.79535i	−1.60796	+	0.0591268i
$923$	−5.88141	−	12.8785i	−0.193589	−	0.423900i
$924$	−0.173413	−	2.35480i	−0.00570486	−	0.0774672i
$925$	5.87764	+	6.78316i	0.193256	+	0.223029i
$926$	−15.6448	−	31.1721i	−0.514119	−	1.02438i
$927$	0.151643	+	0.0974549i	0.00498060	+	0.00320084i
$928$	−21.1247	+	10.7140i	−0.693451	+	0.351703i
$929$	−16.5151	+	19.0594i	−0.541842	+	0.625319i	−0.958963	−	0.283532i	$-0.908494\pi$
$929$	−16.5151	+	19.0594i	−0.541842	+	0.625319i	0.417121	+	0.908851i	$0.363039\pi$
$930$	−16.3490	−	17.5230i	−0.536105	−	0.574601i
$931$	16.5755	−	2.38320i	0.543240	−	0.0781062i
$932$	7.68846	+	14.0100i	0.251844	+	0.458913i
$933$	−9.79052	−	15.2344i	−0.320527	−	0.498750i
$934$	−20.2052	−	11.9595i	−0.661134	−	0.391327i
$935$	−0.732433	+	1.60381i	−0.0239531	+	0.0524500i
$936$	−0.552206	+	16.9666i	−0.0180494	+	0.554570i
$937$	−10.0295	−	34.1575i	−0.327651	−	1.11588i	−0.944423	−	0.328734i	$-0.893378\pi$
$937$	−10.0295	−	34.1575i	−0.327651	−	1.11588i	0.616772	−	0.787142i	$-0.288440\pi$
$938$	1.41013	−	1.75364i	0.0460423	−	0.0572585i
$939$	7.46337	−	25.4179i	0.243558	−	0.829482i
$940$	4.84003	−	4.86050i	0.157864	−	0.158532i
$941$	1.17843	−	8.19615i	0.0384157	−	0.267187i	−0.961557	−	0.274606i	$-0.911453\pi$
$941$	1.17843	−	8.19615i	0.0384157	−	0.267187i	0.999972	+	0.00741920i	$0.00236162\pi$
$942$	−35.1148	+	6.37367i	−1.14410	+	0.207665i
$943$	5.41379	−	0.652983i	0.176297	−	0.0212640i
$944$	−35.8195	+	31.3034i	−1.16583	+	1.01884i
$945$	1.03464	−	7.19609i	0.0336569	−	0.234089i
$946$	12.8432	+	18.4561i	0.417568	+	0.600060i
$947$	22.2815	+	6.54245i	0.724053	+	0.212601i	0.622935	−	0.782273i	$-0.285940\pi$
$947$	22.2815	+	6.54245i	0.724053	+	0.212601i	0.101118	+	0.994874i	$0.467758\pi$
$948$	42.0350	+	22.8378i	1.36523	+	0.741739i
$949$	−11.9425	−	40.6724i	−0.387670	−	1.32028i
$950$	1.85031	−	4.48040i	0.0600319	−	0.145363i
$951$	−20.3749	−	9.30489i	−0.660701	−	0.301732i
$952$	0.619413	+	0.109732i	0.0200753	+	0.00355642i
$953$	25.2694	+	39.3199i	0.818556	+	1.27370i	0.958942	+	0.283601i	$0.0915290\pi$
$953$	25.2694	+	39.3199i	0.818556	+	1.27370i	−0.140387	+	0.990097i	$0.544835\pi$
$954$	1.99614	+	5.97639i	0.0646274	+	0.193493i
$955$	−5.42287	−	37.7169i	−0.175480	−	1.22049i
$956$	28.3849	+	21.1554i	0.918034	+	0.684214i
$957$	6.35598	−	7.33519i	0.205460	−	0.237113i
$958$	11.6481	−	45.8384i	0.376332	−	1.48097i
$959$	−4.08117	+	6.35043i	−0.131788	+	0.205066i
$960$	6.04693	−	28.6697i	0.195164	−	0.925311i
$961$	−6.28154	−	7.24929i	−0.202630	−	0.233848i
$962$	6.51300	−	61.1870i	0.209988	−	1.97275i
$963$	10.1400	−	4.63076i	0.326756	−	0.149224i
$964$	−24.0661	+	5.28847i	−0.775118	+	0.170330i
$965$	−51.0262			−1.64259
$966$	3.22691	−	3.83106i	0.103824	−	0.123262i
$967$			35.4599i			1.14031i	0.821536	+	0.570157i	$0.193118\pi$
$967$			35.4599i			1.14031i	−0.821536	+	0.570157i	$0.806882\pi$
$968$	9.21019	+	22.0378i	0.296027	+	0.708323i
$969$	−0.653487	−	1.43094i	−0.0209930	−	0.0459683i
$970$	−1.47217	+	13.8304i	−0.0472684	+	0.444068i
$971$	24.4389	−	21.1764i	0.784280	−	0.679583i	−0.167667	−	0.985844i	$-0.553623\pi$
$971$	24.4389	−	21.1764i	0.784280	−	0.679583i	0.951948	+	0.306261i	$0.0990780\pi$
$972$	14.3466	−	10.7870i	0.460167	−	0.345994i
$973$	2.98067	+	1.91556i	0.0955560	+	0.0614101i
$974$	−10.3114	−	2.62024i	−0.330398	−	0.0839580i
$975$	−10.1128	−	8.76277i	−0.323868	−	0.280633i
$976$	9.48387	−	32.8106i	0.303571	−	1.05024i
$977$	−10.2677	+	1.47627i	−0.328492	+	0.0472300i	−0.304588	−	0.952484i	$-0.598519\pi$
$977$	−10.2677	+	1.47627i	−0.328492	+	0.0472300i	−0.0239040	+	0.999714i	$0.507610\pi$
$978$	5.43320	+	16.2669i	0.173735	+	0.520157i
$979$	21.6671	−	13.9246i	0.692482	−	0.445031i
$980$	11.8322	−	31.9290i	0.377967	−	1.01994i
$981$	−3.99792	+	8.75422i	−0.127644	+	0.279501i
$982$	32.0992	+	13.2563i	1.02433	+	0.423025i
$983$	3.64329	−	1.06977i	0.116203	−	0.0341202i	−0.223114	−	0.974792i	$-0.571622\pi$
$983$	3.64329	−	1.06977i	0.116203	−	0.0341202i	0.339317	+	0.940672i	$0.389804\pi$
$984$	4.42940	+	1.45869i	0.141204	+	0.0465014i
$985$	5.74026	−	19.5495i	0.182900	−	0.622900i
$986$	1.47698	+	2.12248i	0.0470367	+	0.0675935i
$987$	0.992611	+	0.142716i	0.0315952	+	0.00454270i
$988$	−31.1127	+	11.6793i	−0.989826	+	0.371567i
$989$	−7.86134	+	47.0474i	−0.249976	+	1.49602i
$990$	−0.915079	−	5.04150i	−0.0290831	−	0.160229i
$991$	−13.3623	−	1.92121i	−0.424468	−	0.0610293i	−0.0732290	−	0.997315i	$-0.523330\pi$
$991$	−13.3623	−	1.92121i	−0.424468	−	0.0610293i	−0.351239	+	0.936286i	$0.614239\pi$
$992$	−6.33901	+	25.3942i	−0.201264	+	0.806268i
$993$	40.4898	+	11.8889i	1.28490	+	0.377282i
$994$	0.955435	−	1.18819i	0.0303046	−	0.0376870i
$995$	−32.1448	+	9.43857i	−1.01906	+	0.299223i
$996$	7.02415	−	32.6207i	0.222569	−	1.03363i
$997$	16.3500	+	7.46678i	0.517809	+	0.236475i	0.657137	−	0.753771i	$-0.271767\pi$
$997$	16.3500	+	7.46678i	0.517809	+	0.236475i	−0.139329	+	0.990246i	$0.544494\pi$
$998$	−3.97292	+	6.71212i	−0.125760	+	0.212468i
$999$	−30.9277	+	19.8761i	−0.978511	+	0.628851i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	184.2.j.a.107.12	yes	220
4.3	odd	2		736.2.r.a.15.15		220
8.3	odd	2	inner	184.2.j.a.107.9	yes	220
8.5	even	2		736.2.r.a.15.16		220
23.20	odd	22	inner	184.2.j.a.43.9	✓	220
92.43	even	22		736.2.r.a.687.16		220
184.43	even	22	inner	184.2.j.a.43.12	yes	220
184.181	odd	22		736.2.r.a.687.15		220

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
184.2.j.a.43.9	✓	220	23.20	odd	22	inner
184.2.j.a.43.12	yes	220	184.43	even	22	inner
184.2.j.a.107.9	yes	220	8.3	odd	2	inner
184.2.j.a.107.12	yes	220	1.1	even	1	trivial
736.2.r.a.15.15		220	4.3	odd	2
736.2.r.a.15.16		220	8.5	even	2
736.2.r.a.687.15		220	184.181	odd	22
736.2.r.a.687.16		220	92.43	even	22

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 184 = 2^{3} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	184.j (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.0519675 + 1.41326i) q^{2} +(-0.602375 - 1.31902i) q^{3} +(-1.99460 + 0.146887i) q^{4} +(-1.65405 - 1.90888i) q^{5} +(1.83281 - 0.919857i) q^{6} +(-0.428463 - 0.275357i) q^{7} +(-0.311243 - 2.81125i) q^{8} +(0.587632 - 0.678164i) q^{9} +(2.61178 - 2.43680i) q^{10} +(1.58228 - 0.227498i) q^{11} +(1.39524 + 2.54243i) q^{12} +(-3.61602 - 5.62664i) q^{13} +(0.366884 - 0.619839i) q^{14} +(-1.52148 + 3.33158i) q^{15} +(3.95685 - 0.585961i) q^{16} +(-0.123026 - 0.418987i) q^{17} +(0.988958 + 0.795234i) q^{18} +(-0.699920 + 2.38371i) q^{19} +(3.57956 + 3.56449i) q^{20} +(-0.105105 + 0.731018i) q^{21} +(0.403740 + 2.22435i) q^{22} +(-2.68399 + 3.97444i) q^{23} +(-3.52060 + 2.10396i) q^{24} +(-0.196352 + 1.36566i) q^{25} +(7.76399 - 5.40278i) q^{26} +(-5.42244 - 1.59217i) q^{27} +(0.895059 + 0.486290i) q^{28} +(1.17967 + 4.01757i) q^{29} +(-4.78745 - 1.97711i) q^{30} +(4.20874 + 1.92207i) q^{31} +(1.03374 + 5.56160i) q^{32} +(-1.25320 - 1.95002i) q^{33} +(0.585744 - 0.195641i) q^{34} +(0.183078 + 1.27334i) q^{35} +(-1.07248 + 1.43898i) q^{36} +(4.26008 - 4.91639i) q^{37} +(-3.40517 - 0.865293i) q^{38} +(-5.24344 + 8.15895i) q^{39} +(-4.85152 + 5.24408i) q^{40} +(-0.744600 - 0.859314i) q^{41} +(-1.03858 - 0.110551i) q^{42} +(9.04725 - 4.13174i) q^{43} +(-3.12260 + 0.686183i) q^{44} -2.26651 q^{45} +(-5.75640 - 3.58663i) q^{46} -1.35785i q^{47} +(-3.15640 - 4.86618i) q^{48} +(-2.80015 - 6.13146i) q^{49} +(-1.94023 - 0.206526i) q^{50} +(-0.478544 + 0.414660i) q^{51} +(8.03900 + 10.6917i) q^{52} +(4.17696 + 2.68437i) q^{53} +(1.96836 - 7.74605i) q^{54} +(-3.05144 - 2.64409i) q^{55} +(-0.640740 + 1.29022i) q^{56} +(3.56577 - 0.512680i) q^{57} +(-5.61656 + 1.87596i) q^{58} +(-10.0047 + 6.42962i) q^{59} +(2.54538 - 6.86866i) q^{60} +(3.54700 - 7.76684i) q^{61} +(-2.49766 + 6.04792i) q^{62} +(-0.438516 + 0.128760i) q^{63} +(-7.80626 + 1.74997i) q^{64} +(-4.75948 + 16.2093i) q^{65} +(2.69075 - 1.87243i) q^{66} +(3.09236 + 0.444614i) q^{67} +(0.306931 + 0.817640i) q^{68} +(6.85913 + 1.14612i) q^{69} +(-1.79004 + 0.324909i) q^{70} +(2.09524 + 0.301250i) q^{71} +(-2.08938 - 1.44091i) q^{72} +(6.08103 + 1.78555i) q^{73} +(7.16952 + 5.76510i) q^{74} +(1.91960 - 0.563647i) q^{75} +(1.04592 - 4.85735i) q^{76} +(-0.740592 - 0.338217i) q^{77} +(-11.8032 - 6.98633i) q^{78} +(13.8768 - 8.91806i) q^{79} +(-7.66336 - 6.58393i) q^{80} +(0.783125 + 5.44676i) q^{81} +(1.17574 - 1.09697i) q^{82} +(-8.69557 - 7.53476i) q^{83} +(0.102264 - 1.47353i) q^{84} +(-0.596304 + 0.927868i) q^{85} +(6.30938 + 12.5714i) q^{86} +(4.58865 - 3.97608i) q^{87} +(-1.13203 - 4.37738i) q^{88} +(14.6559 - 6.69312i) q^{89} +(-0.117785 - 3.20316i) q^{90} +3.40651i q^{91} +(4.76968 - 8.32167i) q^{92} -6.70920i q^{93} +(1.91899 - 0.0705639i) q^{94} +(5.70791 - 2.60672i) q^{95} +(6.71314 - 4.71369i) q^{96} +(-2.94269 + 2.54986i) q^{97} +(8.51983 - 4.27597i) q^{98} +(0.775519 - 1.20673i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 220 q - 11 q^{2} - 18 q^{3} - 3 q^{4} - 12 q^{6} - 8 q^{8} - 36 q^{9} - 11 q^{10} - 22 q^{11} - 6 q^{12} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 6 q^{18} - 22 q^{19} - 11 q^{20} - 18 q^{24} - 32 q^{25} - 10 q^{26}+ \cdots - 22 q^{99}+O(q^{100}) \) 220 * q - 11 * q^2 - 18 * q^3 - 3 * q^4 - 12 * q^6 - 8 * q^8 - 36 * q^9 - 11 * q^10 - 22 * q^11 - 6 * q^12 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 6 * q^18 - 22 * q^19 - 11 * q^20 - 18 * q^24 - 32 * q^25 - 10 * q^26 - 18 * q^27 - 11 * q^28 - 11 * q^30 - 11 * q^32 - 22 * q^33 + 11 * q^34 + 2 * q^35 - 41 * q^36 + 44 * q^38 - 99 * q^40 - 18 * q^41 + 99 * q^42 - 22 * q^43 - 88 * q^44 + 45 * q^46 - 100 * q^48 - 28 * q^49 + 14 * q^50 - 22 * q^51 - 118 * q^52 + 102 * q^54 - 66 * q^56 - 22 * q^57 + 43 * q^58 - 6 * q^59 - 33 * q^60 - 56 * q^62 + 18 * q^64 - 22 * q^65 + 22 * q^66 - 22 * q^67 - 10 * q^70 - 23 * q^72 - 18 * q^73 + 14 * q^75 + 44 * q^76 + 98 * q^78 + 88 * q^80 + 4 * q^81 + 14 * q^82 - 22 * q^83 + 143 * q^84 + 99 * q^86 + 77 * q^88 - 22 * q^89 + 176 * q^90 + 36 * q^92 + 111 * q^94 + 101 * q^96 - 22 * q^97 + 121 * q^98 - 22 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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