LMFDB - Embedded newform 378.2.bf.a.101.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [378,2,Mod(5,378)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(378, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([5, 15]))

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

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

chi := DirichletCharacter("378.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 378 = 2 \cdot 3^{3} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	378.bf (of order $18$, degree $6$, 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:	$3.01834519640$
Analytic rank:	$0$
Dimension:	$144$
Relative dimension:	$24$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			101.17
Character	$\chi$	$=$	378.101
Dual form			378.2.bf.a.131.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.642788 - 0.766044i) q^{2} +(-0.391368 - 1.68726i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(1.01240 - 0.849504i) q^{5} +(-1.54408 - 0.784742i) q^{6} +(-1.01713 - 2.44242i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(-2.69366 + 1.32067i) q^{9} +O(q^{10})$	\(q+(0.642788 - 0.766044i) q^{2} +(-0.391368 - 1.68726i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(1.01240 - 0.849504i) q^{5} +(-1.54408 - 0.784742i) q^{6} +(-1.01713 - 2.44242i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(-2.69366 + 1.32067i) q^{9} -1.32159i q^{10} +(-2.07906 + 2.47772i) q^{11} +(-1.59366 + 0.678411i) q^{12} +(0.846378 - 2.32541i) q^{13} +(-2.52481 - 0.790791i) q^{14} +(-1.82955 - 1.37571i) q^{15} +(-0.939693 + 0.342020i) q^{16} +5.44084 q^{17} +(-0.719758 + 2.91238i) q^{18} +3.50054i q^{19} +(-1.01240 - 0.849504i) q^{20} +(-3.72292 + 2.67205i) q^{21} +(0.561654 + 3.18530i) q^{22} +(2.72520 - 7.48742i) q^{23} +(-0.504694 + 1.65689i) q^{24} +(-0.564945 + 3.20396i) q^{25} +(-1.23732 - 2.14311i) q^{26} +(3.28253 + 4.02803i) q^{27} +(-2.22870 + 1.42580i) q^{28} +(-1.74976 - 4.80742i) q^{29} +(-2.22987 + 0.517229i) q^{30} +(-9.30738 + 1.64114i) q^{31} +(-0.342020 + 0.939693i) q^{32} +(4.99423 + 2.53820i) q^{33} +(3.49730 - 4.16793i) q^{34} +(-3.10460 - 1.60865i) q^{35} +(1.76836 + 2.42341i) q^{36} +(4.35424 - 7.54176i) q^{37} +(2.68157 + 2.25010i) q^{38} +(-4.25480 - 0.517968i) q^{39} +(-1.30152 + 0.229492i) q^{40} +(6.84795 + 2.49245i) q^{41} +(-0.346139 + 4.56948i) q^{42} +(0.724723 - 4.11011i) q^{43} +(2.80111 + 1.61722i) q^{44} +(-1.60514 + 3.62533i) q^{45} +(-3.98397 - 6.90044i) q^{46} +(0.0358496 - 0.203313i) q^{47} +(0.944841 + 1.45165i) q^{48} +(-4.93088 + 4.96854i) q^{49} +(2.09124 + 2.49224i) q^{50} +(-2.12937 - 9.18009i) q^{51} +(-2.43705 - 0.429718i) q^{52} +(4.50849 + 2.60298i) q^{53} +(5.19562 + 0.0746051i) q^{54} +4.27461i q^{55} +(-0.340349 + 2.62377i) q^{56} +(5.90631 - 1.37000i) q^{57} +(-4.80742 - 1.74976i) q^{58} +(7.79437 + 2.83692i) q^{59} +(-1.03711 + 2.04065i) q^{60} +(6.71391 + 1.18384i) q^{61} +(-4.72548 + 8.18477i) q^{62} +(5.96546 + 5.23577i) q^{63} +(0.500000 + 0.866025i) q^{64} +(-1.11857 - 3.07324i) q^{65} +(5.15460 - 2.19428i) q^{66} +(-4.76236 + 3.99609i) q^{67} +(-0.944792 - 5.35818i) q^{68} +(-13.6997 - 1.66777i) q^{69} +(-3.22789 + 1.34424i) q^{70} +(13.2723 - 7.66278i) q^{71} +(2.99312 + 0.203094i) q^{72} +(6.87909 - 3.97165i) q^{73} +(-2.97848 - 8.18329i) q^{74} +(5.62701 - 0.300720i) q^{75} +(3.44736 - 0.607863i) q^{76} +(8.16633 + 2.55776i) q^{77} +(-3.13172 + 2.92642i) q^{78} +(-2.07308 - 1.73952i) q^{79} +(-0.660797 + 1.14453i) q^{80} +(5.51164 - 7.11490i) q^{81} +(6.31111 - 3.64372i) q^{82} +(-1.52283 + 0.554265i) q^{83} +(3.27793 + 3.20237i) q^{84} +(5.50830 - 4.62202i) q^{85} +(-2.68268 - 3.19710i) q^{86} +(-7.42655 + 4.83376i) q^{87} +(3.03938 - 1.10624i) q^{88} +11.2979 q^{89} +(1.74539 + 3.55993i) q^{90} +(-6.54051 + 0.298032i) q^{91} +(-7.84689 - 1.38362i) q^{92} +(6.41163 + 15.0616i) q^{93} +(-0.132703 - 0.158150i) q^{94} +(2.97372 + 3.54395i) q^{95} +(1.71936 + 0.209310i) q^{96} +(-4.79251 - 0.845049i) q^{97} +(0.636618 + 6.97099i) q^{98} +(2.32801 - 9.41991i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 144 q + 18 q^{6} - 12 q^{9}+O(q^{10}) $ 144 * q + 18 * q^6 - 12 * q^9	$ 144 q + 18 q^{6} - 12 q^{9} + 12 q^{11} + 6 q^{14} + 12 q^{15} + 6 q^{21} - 6 q^{23} - 6 q^{29} - 18 q^{30} - 54 q^{35} + 6 q^{36} - 6 q^{39} + 24 q^{42} - 54 q^{47} + 18 q^{49} + 12 q^{50} + 18 q^{51} + 90 q^{53} - 54 q^{54} - 12 q^{56} - 6 q^{57} - 90 q^{59} - 36 q^{60} - 24 q^{63} + 72 q^{64} - 84 q^{65} - 36 q^{69} - 18 q^{70} - 72 q^{71} + 12 q^{72} + 18 q^{74} - 90 q^{75} - 78 q^{77} - 60 q^{78} + 36 q^{79} - 6 q^{84} - 72 q^{85} + 24 q^{86} + 90 q^{87} - 18 q^{91} - 42 q^{92} - 12 q^{93} + 78 q^{95} - 36 q^{98} - 108 q^{99}+O(q^{100}) $ 144 * q + 18 * q^6 - 12 * q^9 + 12 * q^11 + 6 * q^14 + 12 * q^15 + 6 * q^21 - 6 * q^23 - 6 * q^29 - 18 * q^30 - 54 * q^35 + 6 * q^36 - 6 * q^39 + 24 * q^42 - 54 * q^47 + 18 * q^49 + 12 * q^50 + 18 * q^51 + 90 * q^53 - 54 * q^54 - 12 * q^56 - 6 * q^57 - 90 * q^59 - 36 * q^60 - 24 * q^63 + 72 * q^64 - 84 * q^65 - 36 * q^69 - 18 * q^70 - 72 * q^71 + 12 * q^72 + 18 * q^74 - 90 * q^75 - 78 * q^77 - 60 * q^78 + 36 * q^79 - 6 * q^84 - 72 * q^85 + 24 * q^86 + 90 * q^87 - 18 * q^91 - 42 * q^92 - 12 * q^93 + 78 * q^95 - 36 * q^98 - 108 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/378\mathbb{Z}\right)^\times$.

$n$	$29$	$325$
$\chi(n)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	0.642788	−	0.766044i	0.454519	−	0.541675i
$2$	0.642788	−	0.766044i	0.454519	−	0.541675i
$3$	−0.391368	−	1.68726i	−0.225956	−	0.974137i
$3$	−0.391368	−	1.68726i	−0.225956	−	0.974137i
$4$	−0.173648	−	0.984808i	−0.0868241	−	0.492404i
$5$	1.01240	−	0.849504i	0.452759	−	0.379910i	−0.387700	−	0.921786i	$-0.626730\pi$
$5$	1.01240	−	0.849504i	0.452759	−	0.379910i	0.840458	+	0.541876i	$0.182286\pi$
$6$	−1.54408	−	0.784742i	−0.630368	−	0.320370i
$7$	−1.01713	−	2.44242i	−0.384440	−	0.923150i
$7$	−1.01713	−	2.44242i	−0.384440	−	0.923150i
$8$	−0.866025	−	0.500000i	−0.306186	−	0.176777i
$9$	−2.69366	+	1.32067i	−0.897888	+	0.440225i
$10$		−	1.32159i		−	0.417925i
$11$	−2.07906	+	2.47772i	−0.626859	+	0.747062i	−0.982234	−	0.187662i	$-0.939909\pi$
$11$	−2.07906	+	2.47772i	−0.626859	+	0.747062i	0.355374	+	0.934724i	$0.384353\pi$
$12$	−1.59366	+	0.678411i	−0.460051	+	0.195840i
$13$	0.846378	−	2.32541i	0.234743	−	0.644951i	−0.765256	−	0.643726i	$-0.777388\pi$
$13$	0.846378	−	2.32541i	0.234743	−	0.644951i	0.999999	−	0.00122553i	$-0.000390100\pi$
$14$	−2.52481	−	0.790791i	−0.674783	−	0.211348i
$15$	−1.82955	−	1.37571i	−0.472388	−	0.355206i
$16$	−0.939693	+	0.342020i	−0.234923	+	0.0855050i
$17$	5.44084			1.31960			0.659799	−	0.751442i	$-0.270641\pi$
$17$	5.44084			1.31960			0.659799	+	0.751442i	$0.270641\pi$
$18$	−0.719758	+	2.91238i	−0.169649	+	0.686454i
$19$			3.50054i			0.803079i	0.915842	+	0.401540i	$0.131525\pi$
$19$			3.50054i			0.803079i	−0.915842	+	0.401540i	$0.868475\pi$
$20$	−1.01240	−	0.849504i	−0.226379	−	0.189955i
$21$	−3.72292	+	2.67205i	−0.812408	+	0.583089i
$22$	0.561654	+	3.18530i	0.119745	+	0.679108i
$23$	2.72520	−	7.48742i	0.568243	−	1.56123i	−0.239003	−	0.971019i	$-0.576820\pi$
$23$	2.72520	−	7.48742i	0.568243	−	1.56123i	0.807246	−	0.590216i	$-0.200957\pi$
$24$	−0.504694	+	1.65689i	−0.103020	+	0.338211i
$25$	−0.564945	+	3.20396i	−0.112989	+	0.640793i
$26$	−1.23732	−	2.14311i	−0.242659	−	0.420298i
$27$	3.28253	+	4.02803i	0.631723	+	0.775194i
$28$	−2.22870	+	1.42580i	−0.421184	+	0.269452i
$29$	−1.74976	−	4.80742i	−0.324922	−	0.892715i	−0.989375	−	0.145386i	$-0.953558\pi$
$29$	−1.74976	−	4.80742i	−0.324922	−	0.892715i	0.664453	−	0.747330i	$-0.268664\pi$
$30$	−2.22987	+	0.517229i	−0.407116	+	0.0944327i
$31$	−9.30738	+	1.64114i	−1.67165	+	0.294758i	−0.927659	−	0.373428i	$-0.878182\pi$
$31$	−9.30738	+	1.64114i	−1.67165	+	0.294758i	−0.743995	+	0.668185i	$0.767071\pi$
$32$	−0.342020	+	0.939693i	−0.0604612	+	0.166116i
$33$	4.99423	+	2.53820i	0.869383	+	0.441844i
$34$	3.49730	−	4.16793i	0.599783	−	0.714793i
$35$	−3.10460	−	1.60865i	−0.524772	−	0.271912i
$36$	1.76836	+	2.42341i	0.294727	+	0.403901i
$37$	4.35424	−	7.54176i	0.715833	−	1.23986i	−0.246805	−	0.969065i	$-0.579381\pi$
$37$	4.35424	−	7.54176i	0.715833	−	1.23986i	0.962638	−	0.270793i	$-0.0872860\pi$
$38$	2.68157	+	2.25010i	0.435008	+	0.365015i
$39$	−4.25480	−	0.517968i	−0.681313	−	0.0829413i
$40$	−1.30152	+	0.229492i	−0.205788	+	0.0362859i
$41$	6.84795	+	2.49245i	1.06947	+	0.389255i	0.815978	−	0.578082i	$-0.196199\pi$
$41$	6.84795	+	2.49245i	1.06947	+	0.389255i	0.253492	+	0.967338i	$0.418421\pi$
$42$	−0.346139	+	4.56948i	−0.0534104	+	0.705087i
$43$	0.724723	−	4.11011i	0.110519	−	0.626786i	−0.878352	−	0.478014i	$-0.841357\pi$
$43$	0.724723	−	4.11011i	0.110519	−	0.626786i	0.988872	−	0.148772i	$-0.0475321\pi$
$44$	2.80111	+	1.61722i	0.422283	+	0.243805i
$45$	−1.60514	+	3.62533i	−0.239281	+	0.540432i
$46$	−3.98397	−	6.90044i	−0.587405	−	1.01741i
$47$	0.0358496	−	0.203313i	0.00522920	−	0.0296563i	−0.982082	−	0.188457i	$-0.939652\pi$
$47$	0.0358496	−	0.203313i	0.00522920	−	0.0296563i	0.987311	+	0.158800i	$0.0507626\pi$
$48$	0.944841	+	1.45165i	0.136376	+	0.209527i
$49$	−4.93088	+	4.96854i	−0.704411	+	0.709792i
$50$	2.09124	+	2.49224i	0.295746	+	0.352456i
$51$	−2.12937	−	9.18009i	−0.298171	−	1.28547i
$52$	−2.43705	−	0.429718i	−0.337958	−	0.0595911i
$53$	4.50849	+	2.60298i	0.619289	+	0.357546i	0.776592	−	0.630004i	$-0.216947\pi$
$53$	4.50849	+	2.60298i	0.619289	+	0.357546i	−0.157303	+	0.987550i	$0.550280\pi$
$54$	5.19562	+	0.0746051i	0.707034	+	0.0101525i
$55$			4.27461i			0.576389i
$56$	−0.340349	+	2.62377i	−0.0454810	+	0.350616i
$57$	5.90631	−	1.37000i	0.782310	−	0.181461i
$58$	−4.80742	−	1.74976i	−0.631245	−	0.229754i
$59$	7.79437	+	2.83692i	1.01474	+	0.369335i	0.795251	−	0.606280i	$-0.207339\pi$
$59$	7.79437	+	2.83692i	1.01474	+	0.369335i	0.219489	+	0.975615i	$0.429561\pi$
$60$	−1.03711	+	2.04065i	−0.133890	+	0.263446i
$61$	6.71391	+	1.18384i	0.859628	+	0.151576i	0.586051	−	0.810274i	$-0.300682\pi$
$61$	6.71391	+	1.18384i	0.859628	+	0.151576i	0.273578	+	0.961850i	$0.411793\pi$
$62$	−4.72548	+	8.18477i	−0.600136	+	1.03947i
$63$	5.96546	+	5.23577i	0.751578	+	0.659645i
$64$	0.500000	+	0.866025i	0.0625000	+	0.108253i
$65$	−1.11857	−	3.07324i	−0.138741	−	0.381189i
$66$	5.15460	−	2.19428i	0.634488	−	0.270097i
$67$	−4.76236	+	3.99609i	−0.581815	+	0.488201i	−0.885543	−	0.464558i	$-0.846213\pi$
$67$	−4.76236	+	3.99609i	−0.581815	+	0.488201i	0.303728	+	0.952759i	$0.401769\pi$
$68$	−0.944792	−	5.35818i	−0.114573	−	0.649775i
$69$	−13.6997	−	1.66777i	−1.64926	−	0.200776i
$70$	−3.22789	+	1.34424i	−0.385807	+	0.160667i
$71$	13.2723	−	7.66278i	1.57513	−	0.909405i	0.579611	−	0.814893i	$-0.303205\pi$
$71$	13.2723	−	7.66278i	1.57513	−	0.909405i	0.995524	−	0.0945112i	$-0.0301288\pi$
$72$	2.99312	+	0.203094i	0.352742	+	0.0239349i
$73$	6.87909	−	3.97165i	0.805137	−	0.464846i	−0.0401274	−	0.999195i	$-0.512776\pi$
$73$	6.87909	−	3.97165i	0.805137	−	0.464846i	0.845264	+	0.534349i	$0.179443\pi$
$74$	−2.97848	−	8.18329i	−0.346241	−	0.951289i
$75$	5.62701	−	0.300720i	0.649751	−	0.0347242i
$76$	3.44736	−	0.607863i	0.395439	−	0.0697266i
$77$	8.16633	+	2.55776i	0.930640	+	0.291484i
$78$	−3.13172	+	2.92642i	−0.354597	+	0.331352i
$79$	−2.07308	−	1.73952i	−0.233240	−	0.195711i	0.518675	−	0.854971i	$-0.326425\pi$
$79$	−2.07308	−	1.73952i	−0.233240	−	0.195711i	−0.751915	+	0.659260i	$0.770870\pi$
$80$	−0.660797	+	1.14453i	−0.0738793	+	0.127963i
$81$	5.51164	−	7.11490i	0.612404	−	0.790545i
$82$	6.31111	−	3.64372i	0.696945	−	0.402381i
$83$	−1.52283	+	0.554265i	−0.167152	+	0.0608385i	−0.424241	−	0.905549i	$-0.639459\pi$
$83$	−1.52283	+	0.554265i	−0.167152	+	0.0608385i	0.257089	+	0.966388i	$0.417237\pi$
$84$	3.27793	+	3.20237i	0.357652	+	0.349407i
$85$	5.50830	−	4.62202i	0.597460	−	0.501328i
$86$	−2.68268	−	3.19710i	−0.289281	−	0.344752i
$87$	−7.42655	+	4.83376i	−0.796209	+	0.518233i
$88$	3.03938	−	1.10624i	0.323999	−	0.117926i
$89$	11.2979			1.19757			0.598787	−	0.800909i	$-0.295650\pi$
$89$	11.2979			1.19757			0.598787	+	0.800909i	$0.295650\pi$
$90$	1.74539	+	3.55993i	0.183981	+	0.375249i
$91$	−6.54051	+	0.298032i	−0.685632	+	0.0312423i
$92$	−7.84689	−	1.38362i	−0.818095	−	0.144252i
$93$	6.41163	+	15.0616i	0.664855	+	1.56182i
$94$	−0.132703	−	0.158150i	−0.0136873	−	0.0163119i
$95$	2.97372	+	3.54395i	0.305098	+	0.363601i
$96$	1.71936	+	0.209310i	0.175481	+	0.0213626i
$97$	−4.79251	−	0.845049i	−0.486606	−	0.0858017i	−0.0750376	−	0.997181i	$-0.523908\pi$
$97$	−4.79251	−	0.845049i	−0.486606	−	0.0858017i	−0.411568	+	0.911379i	$0.635019\pi$
$98$	0.636618	+	6.97099i	0.0643082	+	0.704176i
$99$	2.32801	−	9.41991i	0.233974	−	0.946736i
$100$	3.25339			0.325339
$101$	−5.78603	+	2.10594i	−0.575732	+	0.209549i	−0.613442	−	0.789739i	$-0.710216\pi$
$101$	−5.78603	+	2.10594i	−0.575732	+	0.209549i	0.0377106	+	0.999289i	$0.487994\pi$
$102$	−8.40109	−	4.26966i	−0.831832	−	0.422759i
$103$	−1.64167	−	1.95646i	−0.161758	−	0.192776i	0.679077	−	0.734067i	$-0.262380\pi$
$103$	−1.64167	−	1.95646i	−0.161758	−	0.192776i	−0.840835	+	0.541291i	$0.817936\pi$
$104$	−1.89569	+	1.59067i	−0.185888	+	0.155978i
$105$	−1.49917	+	5.86782i	−0.146304	+	0.572641i
$106$	4.89200	−	1.78054i	0.475153	−	0.172941i
$107$	−0.893944	+	0.516119i	−0.0864209	+	0.0498951i	−0.542588	−	0.839999i	$-0.682555\pi$
$107$	−0.893944	+	0.516119i	−0.0864209	+	0.0498951i	0.456167	+	0.889894i	$0.349222\pi$
$108$	3.39683	−	3.93212i	0.326860	−	0.378368i
$109$	−8.86339	+	15.3518i	−0.848959	+	1.47044i	0.0331799	+	0.999449i	$0.489437\pi$
$109$	−8.86339	+	15.3518i	−0.848959	+	1.47044i	−0.882139	+	0.470990i	$0.843897\pi$
$110$	3.27454	+	2.74767i	0.312215	+	0.261980i
$111$	−14.4290	−	4.39511i	−1.36954	−	0.417166i
$112$	1.79115	+	1.94725i	0.169248	+	0.183998i
$113$	−15.0406	+	2.65206i	−1.41490	+	0.249485i	−0.828250	−	0.560358i	$-0.810663\pi$
$113$	−15.0406	+	2.65206i	−1.41490	+	0.249485i	−0.586647	+	0.809843i	$0.699552\pi$
$114$	2.74702	−	5.40511i	0.257282	−	0.506235i
$115$	−3.60160	−	9.89533i	−0.335851	−	0.922744i
$116$	−4.43054	+	2.55797i	−0.411365	+	0.237502i
$117$	0.791245	+	7.38165i	0.0731506	+	0.682434i
$118$	7.18333	−	4.14730i	0.661279	−	0.381790i
$119$	−5.53406	−	13.2888i	−0.507307	−	1.21819i
$120$	0.896583	+	2.10617i	0.0818465	+	0.192266i
$121$	0.0934942	+	0.530232i	0.00849947	+	0.0482029i
$122$	5.22250	−	4.38220i	0.472823	−	0.396745i
$123$	1.52533	−	12.5297i	0.137535	−	1.12977i
$124$	3.23242	+	8.88100i	0.290280	+	0.797537i
$125$	5.45381	+	9.44628i	0.487804	+	0.844901i
$126$	7.84536	−	1.20432i	0.698920	−	0.107290i
$127$	−5.93107	+	10.2729i	−0.526297	+	0.911574i	0.473233	+	0.880937i	$0.343087\pi$
$127$	−5.93107	+	10.2729i	−0.526297	+	0.911574i	−0.999531	+	0.0306366i	$0.990247\pi$
$128$	0.984808	+	0.173648i	0.0870455	+	0.0153485i
$129$	−7.21844	+	0.385770i	−0.635548	+	0.0339652i
$130$	−3.07324	−	1.11857i	−0.269541	−	0.0981049i
$131$	9.33707	+	3.39842i	0.815784	+	0.296921i	0.716011	−	0.698089i	$-0.245966\pi$
$131$	9.33707	+	3.39842i	0.815784	+	0.296921i	0.0997728	+	0.995010i	$0.468188\pi$
$132$	1.63240	−	5.35911i	0.142082	−	0.466450i
$133$	8.54981	−	3.56052i	0.741363	−	0.308736i
$134$			6.21682i			0.537051i
$135$	6.74506	+	1.28945i	0.580522	+	0.110979i
$136$	−4.71191	−	2.72042i	−0.404043	−	0.233274i
$137$	−5.51341	−	0.972164i	−0.471043	−	0.0830575i	−0.0669122	−	0.997759i	$-0.521315\pi$
$137$	−5.51341	−	0.972164i	−0.471043	−	0.0830575i	−0.404131	+	0.914701i	$0.632426\pi$
$138$	−10.0836	+	9.42259i	−0.858374	+	0.802104i
$139$	0.752487	+	0.896779i	0.0638251	+	0.0760638i	0.797012	−	0.603963i	$-0.206413\pi$
$139$	0.752487	+	0.896779i	0.0638251	+	0.0760638i	−0.733187	+	0.680027i	$0.761968\pi$
$140$	−1.04510	+	3.33677i	−0.0883274	+	0.282008i
$141$	−0.357072	+	0.0190827i	−0.0300709	+	0.00160706i
$142$	2.66126	−	15.0927i	0.223328	−	1.26655i
$143$	4.00204	+	6.93174i	0.334668	+	0.579661i
$144$	2.07952	−	2.16231i	0.173293	−	0.180193i
$145$	−5.85538	−	3.38060i	−0.486263	−	0.280744i
$146$	1.37934	−	7.82262i	0.114155	−	0.647404i
$147$	10.3130	+	6.37513i	0.850601	+	0.525811i
$148$	−8.18329	−	2.97848i	−0.672663	−	0.244829i
$149$	8.41036	−	1.48297i	0.689004	−	0.121490i	0.181825	−	0.983331i	$-0.441800\pi$
$149$	8.41036	−	1.48297i	0.689004	−	0.121490i	0.507179	+	0.861841i	$0.330688\pi$
$150$	3.38661	−	4.50384i	0.276515	−	0.367737i
$151$	−11.9320	−	10.0121i	−0.971012	−	0.814775i	0.0116976	−	0.999932i	$-0.496276\pi$
$151$	−11.9320	−	10.0121i	−0.971012	−	0.814775i	−0.982709	+	0.185156i	$0.940721\pi$
$152$	1.75027	−	3.03156i	0.141966	−	0.245892i
$153$	−14.6558	+	7.18558i	−1.18485	+	0.580920i
$154$	7.20858	−	4.61167i	0.580884	−	0.371619i
$155$	−8.02863	+	9.56815i	−0.644875	+	0.768532i
$156$	0.228739	+	4.28010i	0.0183138	+	0.342682i
$157$	−7.50945	+	20.6320i	−0.599319	+	1.64662i	0.153315	+	0.988177i	$0.451005\pi$
$157$	−7.50945	+	20.6320i	−0.599319	+	1.64662i	−0.752634	+	0.658439i	$0.771217\pi$
$158$	−2.66510	+	0.469929i	−0.212024	+	0.0373856i
$159$	2.62741	−	8.62569i	0.208367	−	0.684062i
$160$	0.452012	+	1.24189i	0.0357347	+	0.0981802i
$161$	−21.0593	+	0.959615i	−1.65971	+	0.0756282i
$162$	−1.90752	−	8.79553i	−0.149869	−	0.691042i
$163$	1.01657	+	1.76074i	0.0796236	+	0.137912i	0.903088	−	0.429456i	$-0.141295\pi$
$163$	1.01657	+	1.76074i	0.0796236	+	0.137912i	−0.823464	+	0.567369i	$0.807962\pi$
$164$	1.26545	−	7.17672i	0.0988151	−	0.560408i
$165$	7.21236	−	1.67294i	0.561482	−	0.130239i
$166$	−0.554265	+	1.52283i	−0.0430193	+	0.118195i
$167$	0.812946	+	4.61044i	0.0629076	+	0.356767i	0.999971	+	0.00760774i	$0.00242164\pi$
$167$	0.812946	+	4.61044i	0.0629076	+	0.356767i	−0.937063	+	0.349159i	$0.886467\pi$
$168$	4.56017	−	0.452602i	0.351825	−	0.0349190i
$169$	5.26742	+	4.41989i	0.405186	+	0.339992i
$170$		−	7.19058i		−	0.551492i
$171$	−4.62308	−	9.42928i	−0.353535	−	0.721075i
$172$	−4.17352			−0.318228
$173$	4.51195	−	1.64222i	0.343037	−	0.124855i	−0.164756	−	0.986334i	$-0.552684\pi$
$173$	4.51195	−	1.64222i	0.343037	−	0.124855i	0.507793	+	0.861479i	$0.330461\pi$
$174$	−1.07082	+	8.79614i	−0.0811787	+	0.666834i
$175$	8.40007	−	1.87902i	0.634985	−	0.142041i
$176$	1.10624	−	3.03938i	0.0833862	−	0.229102i
$177$	1.73614	−	14.2614i	0.130496	−	1.07195i
$178$	7.26214	−	8.65468i	0.544320	−	0.648696i
$179$			18.5267i			1.38475i	0.721536	+	0.692377i	$0.243436\pi$
$179$			18.5267i			1.38475i	−0.721536	+	0.692377i	$0.756564\pi$
$180$	3.84898	+	0.951228i	0.286886	+	0.0709003i
$181$	11.9880	+	6.92126i	0.891059	+	0.514453i	0.874289	−	0.485406i	$-0.161328\pi$
$181$	11.9880	+	6.92126i	0.891059	+	0.514453i	0.0167703	+	0.999859i	$0.494662\pi$
$182$	−3.97585	+	5.20189i	−0.294710	+	0.385590i
$183$	−0.630160	−	11.7914i	−0.0465828	−	0.871646i
$184$	−6.10380	+	5.12170i	−0.449978	+	0.377576i
$185$	−1.99853	−	11.3342i	−0.146935	−	0.833309i
$186$	15.6592	+	4.76984i	1.14819	+	0.349741i
$187$	−11.3118	+	13.4809i	−0.827202	+	0.985821i
$188$	−0.206450			−0.0150569
$189$	6.49939	−	12.1144i	0.472761	−	0.881191i
$190$	4.62629			0.335627
$191$	−8.37896	+	9.98566i	−0.606280	+	0.722537i	−0.978647	−	0.205549i	$-0.934102\pi$
$191$	−8.37896	+	9.98566i	−0.606280	+	0.722537i	0.372367	+	0.928086i	$0.378546\pi$
$192$	1.26552	−	1.18256i	0.0913312	−	0.0853441i
$193$	−2.97866	−	16.8928i	−0.214409	−	1.21597i	−0.881929	−	0.471382i	$-0.843755\pi$
$193$	−2.97866	−	16.8928i	−0.214409	−	1.21597i	0.667520	−	0.744592i	$-0.267356\pi$
$194$	−3.72791	+	3.12809i	−0.267648	+	0.224584i
$195$	−4.74757	+	3.09008i	−0.339981	+	0.221285i
$196$	5.74930	+	3.99319i	0.410664	+	0.285228i
$197$	−16.1159	−	9.30451i	−1.14821	−	0.662919i	−0.199759	−	0.979845i	$-0.564016\pi$
$197$	−16.1159	−	9.30451i	−1.14821	−	0.662919i	−0.948450	+	0.316926i	$0.897349\pi$
$198$	−5.71965	−	7.83836i	−0.406478	−	0.557048i
$199$		−	4.11136i		−	0.291447i	−0.989325	−	0.145723i	$-0.953449\pi$
$199$		−	4.11136i		−	0.291447i	0.989325	−	0.145723i	$-0.0465510\pi$
$200$	2.09124	−	2.49224i	0.147873	−	0.176228i
$201$	8.60626	+	6.47137i	0.607039	+	0.456456i
$202$	−2.10594	+	5.78603i	−0.148174	+	0.407104i
$203$	−9.96202	+	9.16344i	−0.699197	+	0.643147i
$204$	−8.67086	+	3.69112i	−0.607082	+	0.258430i
$205$	9.05021	−	3.29401i	0.632094	−	0.230063i
$206$	−2.55398			−0.177944
$207$	2.54768	+	23.7677i	0.177076	+	1.65197i
$208$			2.47464i			0.171586i
$209$	−8.67337	−	7.27782i	−0.599950	−	0.503418i
$210$	3.53136	+	4.92019i	0.243687	+	0.339525i
$211$	−0.109422	−	0.620564i	−0.00753293	−	0.0427214i	0.980810	−	0.194968i	$-0.0624603\pi$
$211$	−0.109422	−	0.620564i	−0.00753293	−	0.0427214i	−0.988343	+	0.152247i	$0.951349\pi$
$212$	1.78054	−	4.89200i	0.122288	−	0.335984i
$213$	−18.1234	−	19.3948i	−1.24180	−	1.32891i
$214$	−0.179246	+	1.01656i	−0.0122530	+	0.0694903i
$215$	−2.75785	−	4.77673i	−0.188084	−	0.325770i
$216$	−0.828738	−	5.12964i	−0.0563885	−	0.349028i
$217$	13.4752	+	21.0633i	0.914757	+	1.42987i
$218$	6.06291	+	16.6577i	0.410632	+	1.12820i
$219$	−9.39344	−	10.0524i	−0.634750	−	0.679279i
$220$	4.20967	−	0.742279i	0.283816	−	0.0500444i
$221$	4.60501	−	12.6522i	0.309766	−	0.851076i
$222$	−12.6416	+	8.22812i	−0.848451	+	0.552236i
$223$	16.1509	−	19.2479i	1.08155	−	1.28894i	0.126667	−	0.991945i	$-0.459572\pi$
$223$	16.1509	−	19.2479i	1.08155	−	1.28894i	0.954880	−	0.296992i	$-0.0959836\pi$
$224$	2.64301	−	0.120434i	0.176593	−	0.00804686i
$225$	−2.70962	−	9.37651i	−0.180641	−	0.625100i
$226$	−7.63629	+	13.2265i	−0.507959	+	0.879810i
$227$	2.41069	+	2.02281i	0.160003	+	0.134259i	0.719274	−	0.694726i	$-0.244474\pi$
$227$	2.41069	+	2.02281i	0.160003	+	0.134259i	−0.559271	+	0.828985i	$0.688919\pi$
$228$	−2.37480	−	5.57868i	−0.157275	−	0.369457i
$229$	−23.1516	+	4.08225i	−1.52990	+	0.269763i	−0.874315	−	0.485358i	$-0.838689\pi$
$229$	−23.1516	+	4.08225i	−1.52990	+	0.269763i	−0.655585	+	0.755121i	$0.727578\pi$
$230$	−9.89533	−	3.60160i	−0.652478	−	0.237483i
$231$	1.11956	−	14.7797i	0.0736619	−	0.972434i
$232$	−0.888375	+	5.03823i	−0.0583247	+	0.330776i
$233$	−6.08217	−	3.51154i	−0.398456	−	0.230049i	0.287361	−	0.957822i	$-0.407222\pi$
$233$	−6.08217	−	3.51154i	−0.398456	−	0.230049i	−0.685818	+	0.727773i	$0.740555\pi$
$234$	6.16327	+	4.13870i	0.402906	+	0.270556i
$235$	−0.136421	−	0.236289i	−0.00889914	−	0.0154138i
$236$	1.44034	−	8.16858i	0.0937582	−	0.531729i
$237$	−2.12368	+	4.17861i	−0.137948	+	0.271430i
$238$	−13.7371	−	4.30257i	−0.890442	−	0.278894i
$239$	−9.01936	−	10.7489i	−0.583414	−	0.695286i	0.390912	−	0.920428i	$-0.372160\pi$
$239$	−9.01936	−	10.7489i	−0.583414	−	0.695286i	−0.974326	+	0.225142i	$0.927715\pi$
$240$	2.18974	+	0.667000i	0.141347	+	0.0430547i
$241$	−6.31503	−	1.11351i	−0.406787	−	0.0717275i	−0.0334891	−	0.999439i	$-0.510662\pi$
$241$	−6.31503	−	1.11351i	−0.406787	−	0.0717275i	−0.373298	+	0.927712i	$0.621773\pi$
$242$	0.466278	+	0.269206i	0.0299735	+	0.0173052i
$243$	−14.1617	−	6.51500i	−0.908476	−	0.417938i
$244$		−	6.81749i		−	0.436445i
$245$	−0.771220	+	9.21895i	−0.0492714	+	0.588977i
$246$	−8.61785	−	9.22241i	−0.549454	−	0.588000i
$247$	8.14018	+	2.96278i	0.517947	+	0.188517i
$248$	8.88100	+	3.23242i	0.563944	+	0.205259i
$249$	1.53117	+	2.35248i	0.0970342	+	0.149083i
$250$	10.7419	+	1.89409i	0.679378	+	0.119793i
$251$	−0.328504	+	0.568986i	−0.0207350	+	0.0359140i	−0.876207	−	0.481935i	$-0.839934\pi$
$251$	−0.328504	+	0.568986i	−0.0207350	+	0.0359140i	0.855472	+	0.517850i	$0.173267\pi$
$252$	4.12033	−	6.78402i	0.259557	−	0.427353i
$253$	12.8859	+	22.3191i	0.810130	+	1.40319i
$254$	4.05709	+	11.1468i	0.254565	+	0.699410i
$255$	−9.95429	−	7.48501i	−0.623362	−	0.468730i
$256$	0.766044	−	0.642788i	0.0478778	−	0.0401742i
$257$	4.19888	+	23.8130i	0.261919	+	1.48542i	0.777667	+	0.628677i	$0.216403\pi$
$257$	4.19888	+	23.8130i	0.261919	+	1.48542i	−0.515748	+	0.856740i	$0.672486\pi$
$258$	−4.34441	+	5.77761i	−0.270471	+	0.359699i
$259$	−22.8490	−	2.96392i	−1.41977	−	0.184169i
$260$	−2.83231	+	1.63524i	−0.175653	+	0.101413i
$261$	11.0623	+	10.6387i	0.684739	+	0.658519i
$262$	8.60509	−	4.96815i	0.531624	−	0.306933i
$263$	−2.21077	−	6.07404i	−0.136322	−	0.374541i	0.852682	−	0.522430i	$-0.174974\pi$
$263$	−2.21077	−	6.07404i	−0.136322	−	0.374541i	−0.989004	+	0.147889i	$0.952752\pi$
$264$	−3.05603	−	4.69526i	−0.188086	−	0.288973i
$265$	6.77563	−	1.19473i	0.416224	−	0.0733915i
$266$	2.76820	−	8.83819i	0.169729	−	0.541904i
$267$	−4.42162	−	19.0624i	−0.270599	−	1.16660i
$268$	4.76236	+	3.99609i	0.290907	+	0.244100i
$269$	−1.99895	+	3.46228i	−0.121878	+	0.211099i	−0.920508	−	0.390723i	$-0.872225\pi$
$269$	−1.99895	+	3.46228i	−0.121878	+	0.211099i	0.798630	+	0.601822i	$0.205558\pi$
$270$	5.32342	−	4.33817i	0.323973	−	0.264012i
$271$	10.4728	−	6.04647i	0.636177	−	0.367297i	−0.146963	−	0.989142i	$-0.546950\pi$
$271$	10.4728	−	6.04647i	0.636177	−	0.367297i	0.783140	+	0.621845i	$0.213617\pi$
$272$	−5.11272	+	1.86088i	−0.310004	+	0.112832i
$273$	3.06260	+	10.9189i	0.185357	+	0.660840i
$274$	−4.28867	+	3.59863i	−0.259088	+	0.217401i
$275$	−6.76398	−	8.06100i	−0.407883	−	0.486097i
$276$	0.736501	+	13.7812i	0.0443321	+	0.829532i
$277$	−6.04734	+	2.20105i	−0.363349	+	0.132248i	−0.517242	−	0.855839i	$-0.673041\pi$
$277$	−6.04734	+	2.20105i	−0.363349	+	0.132248i	0.153893	+	0.988088i	$0.450819\pi$
$278$	1.17066			0.0702116
$279$	22.9035	−	16.7127i	1.37120	−	1.00056i
$280$	1.88433	+	2.94543i	0.112610	+	0.176023i
$281$	4.56286	+	0.804556i	0.272198	+	0.0479958i	0.308081	−	0.951360i	$-0.400313\pi$
$281$	4.56286	+	0.804556i	0.272198	+	0.0479958i	−0.0358832	+	0.999356i	$0.511424\pi$
$282$	−0.214903	+	0.285799i	−0.0127973	+	0.0170191i
$283$	15.6211	+	18.6165i	0.928576	+	1.10663i	0.994066	+	0.108781i	$0.0346947\pi$
$283$	15.6211	+	18.6165i	0.928576	+	1.10663i	−0.0654893	+	0.997853i	$0.520861\pi$
$284$	−9.85108	−	11.7401i	−0.584554	−	0.696644i
$285$	4.81572	−	6.40442i	0.285259	−	0.379365i
$286$	7.88249	+	1.38989i	0.466101	+	0.0821862i
$287$	−0.877658	−	19.2608i	−0.0518065	−	1.13693i
$288$	−0.319741	−	2.98291i	−0.0188409	−	0.175770i
$289$	12.6027			0.741338
$290$	−6.35346	+	2.31247i	−0.373088	+	0.135793i
$291$	0.449820	+	8.41691i	0.0263689	+	0.493408i
$292$	−5.10585	−	6.08491i	−0.298797	−	0.356093i
$293$	5.67378	−	4.76086i	0.331466	−	0.278133i	−0.461831	−	0.886968i	$-0.652807\pi$
$293$	5.67378	−	4.76086i	0.331466	−	0.278133i	0.793297	+	0.608835i	$0.208363\pi$
$294$	11.5127	−	3.80236i	0.671434	−	0.221758i
$295$	10.3010	−	3.74925i	0.599747	−	0.218290i
$296$	−7.54176	+	4.35424i	−0.438356	+	0.253085i
$297$	−16.8049	−	0.241306i	−0.975119	−	0.0140020i
$298$	4.27005	−	7.39595i	0.247358	−	0.428436i
$299$	−15.1047	−	12.6744i	−0.873529	−	0.732978i
$300$	−1.27327	−	5.48930i	−0.0735124	−	0.316925i
$301$	−10.7758	+	2.41045i	−0.621105	+	0.138936i
$302$	−15.3395	+	2.70476i	−0.882687	+	0.155642i
$303$	5.81773	+	8.93832i	0.334220	+	0.513493i
$304$	−1.19726	−	3.28943i	−0.0686673	−	0.188662i
$305$	7.80284	−	4.50497i	0.446789	−	0.257954i
$306$	−3.91609	+	15.8458i	−0.223868	+	0.905843i
$307$	−10.8123	+	6.24251i	−0.617093	+	0.356279i	−0.775736	−	0.631057i	$-0.782621\pi$
$307$	−10.8123	+	6.24251i	−0.617093	+	0.356279i	0.158644	+	0.987336i	$0.449288\pi$
$308$	1.10084	−	8.48642i	0.0627260	−	0.483558i
$309$	−2.65856	+	3.53561i	−0.151240	+	0.201134i
$310$	2.16892	+	12.3006i	0.123187	+	0.698626i
$311$	1.08350	−	0.909163i	0.0614395	−	0.0515539i	−0.611551	−	0.791205i	$-0.709454\pi$
$311$	1.08350	−	0.909163i	0.0614395	−	0.0515539i	0.672990	+	0.739651i	$0.265010\pi$
$312$	3.42578	+	2.57597i	0.193947	+	0.145836i
$313$	−6.89023	−	18.9307i	−0.389459	−	1.07003i	−0.967246	−	0.253842i	$-0.918306\pi$
$313$	−6.89023	−	18.9307i	−0.389459	−	1.07003i	0.577787	−	0.816188i	$-0.303916\pi$
$314$	10.9781	+	19.0146i	0.619529	+	1.07306i
$315$	10.4872	+	0.233003i	0.590889	+	0.0131283i
$316$	−1.35311	+	2.34365i	−0.0761182	+	0.131841i
$317$	4.02841	+	0.710317i	0.226258	+	0.0398954i	0.285628	−	0.958341i	$-0.407798\pi$
$317$	4.02841	+	0.710317i	0.226258	+	0.0398954i	−0.0593697	+	0.998236i	$0.518909\pi$
$318$	−4.91880	−	7.55720i	−0.275832	−	0.423787i
$319$	15.5493	+	5.65948i	0.870594	+	0.316870i
$320$	1.24189	+	0.452012i	0.0694239	+	0.0252682i
$321$	1.22069	+	1.30632i	0.0681320	+	0.0729117i
$322$	−12.8016	+	16.7492i	−0.713404	+	0.933398i
$323$			19.0459i			1.05974i
$324$	−7.96390	−	4.19242i	−0.442439	−	0.232912i
$325$	6.97236	+	4.02549i	0.386757	+	0.223294i
$326$	2.00224	+	0.353049i	0.110894	+	0.0195536i
$327$	29.3713	+	8.94659i	1.62424	+	0.494748i
$328$	−4.68427	−	5.58250i	−0.258646	−	0.308242i
$329$	−0.533041	+	0.119237i	−0.0293875	+	0.00657373i
$330$	3.35447	−	6.60034i	0.184657	−	0.363337i
$331$	3.23265	−	18.3333i	0.177682	−	1.00769i	−0.757320	−	0.653044i	$-0.773492\pi$
$331$	3.23265	−	18.3333i	0.177682	−	1.00769i	0.935002	−	0.354642i	$-0.115397\pi$
$332$	0.810281	+	1.40345i	0.0444700	+	0.0770242i
$333$	−1.76864	+	26.0655i	−0.0969209	+	1.42838i
$334$	4.05436	+	2.34078i	0.221845	+	0.128082i
$335$	−1.42671	+	8.09129i	−0.0779496	+	0.442074i
$336$	2.58451	−	3.78422i	0.140996	−	0.206446i
$337$	30.2167	+	10.9980i	1.64601	+	0.599099i	0.988075	−	0.153975i	$-0.0492075\pi$
$337$	30.2167	+	10.9980i	1.64601	+	0.599099i	0.657936	+	0.753074i	$0.271430\pi$
$338$	6.77167	−	1.19403i	0.368330	−	0.0649466i
$339$	10.3611	+	24.3393i	0.562737	+	1.32193i
$340$	−5.50830	−	4.62202i	−0.298730	−	0.250664i
$341$	15.2843	−	26.4731i	0.827690	−	1.43360i
$342$	−10.1949	−	2.51954i	−0.551277	−	0.136241i
$343$	17.1507	+	6.98963i	0.926049	+	0.377404i
$344$	−2.68268	+	3.19710i	−0.144641	+	0.172376i
$345$	−15.2864	+	9.94954i	−0.822992	+	0.535665i
$346$	1.64222	−	4.51195i	0.0882860	−	0.242564i
$347$	−16.7014	+	2.94491i	−0.896580	+	0.158091i	−0.602904	−	0.797814i	$-0.705990\pi$
$347$	−16.7014	+	2.94491i	−0.896580	+	0.158091i	−0.293676	+	0.955905i	$0.594879\pi$
$348$	6.04993	+	6.47435i	0.324310	+	0.347061i
$349$	8.84292	+	24.2957i	0.473351	+	1.30052i	0.915044	+	0.403354i	$0.132156\pi$
$349$	8.84292	+	24.2957i	0.473351	+	1.30052i	−0.441693	+	0.897166i	$0.645622\pi$
$350$	3.96004	−	7.64264i	0.211673	−	0.408516i
$351$	12.1451	−	4.22397i	0.648255	−	0.225459i
$352$	−1.61722	−	2.80111i	−0.0861981	−	0.149299i
$353$	3.74588	−	21.2440i	0.199373	−	1.13070i	−0.706679	−	0.707535i	$-0.749807\pi$
$353$	3.74588	−	21.2440i	0.199373	−	1.13070i	0.906052	−	0.423167i	$-0.139082\pi$
$354$	−9.80887	−	10.4970i	−0.521336	−	0.557909i
$355$	6.92733	−	19.0327i	0.367665	−	1.01015i
$356$	−1.96186	−	11.1262i	−0.103978	−	0.589690i
$357$	−20.2558	+	14.5382i	−1.07205	+	0.769443i
$358$	14.1923	+	11.9088i	0.750087	+	0.629397i
$359$			19.9114i			1.05088i	0.850830	+	0.525441i	$0.176100\pi$
$359$			19.9114i			1.05088i	−0.850830	+	0.525441i	$0.823900\pi$
$360$	3.20276	−	2.33705i	0.168800	−	0.123174i
$361$	6.74621			0.355064
$362$	13.0077	−	4.73442i	0.683670	−	0.248836i
$363$	0.858046	−	0.365264i	0.0450357	−	0.0191714i
$364$	1.42925	+	6.38939i	0.0749132	+	0.334895i
$365$	3.59046	−	9.86471i	0.187933	−	0.516342i
$366$	−9.43780	−	7.09664i	−0.493322	−	0.370947i
$367$	−15.1758	+	18.0859i	−0.792172	+	0.944074i	−0.999414	−	0.0342157i	$-0.989107\pi$
$367$	−15.1758	+	18.0859i	−0.792172	+	0.944074i	0.207242	+	0.978290i	$0.433551\pi$
$368$			7.96794i			0.415358i
$369$	−21.7378	+	2.33009i	−1.13162	+	0.121300i
$370$	−9.96715	−	5.75454i	−0.518167	−	0.299164i
$371$	1.77184	−	13.6592i	0.0919894	−	0.709151i
$372$	13.7194	−	8.92965i	0.711320	−	0.462981i
$373$	5.29130	−	4.43993i	0.273973	−	0.229891i	−0.495440	−	0.868642i	$-0.664993\pi$
$373$	5.29130	−	4.43993i	0.273973	−	0.229891i	0.769413	+	0.638751i	$0.220549\pi$
$374$	3.05587	+	17.3307i	0.158015	+	0.896150i
$375$	13.8038	−	12.8989i	0.712828	−	0.666099i
$376$	−0.132703	+	0.158150i	−0.00684365	+	0.00815594i
$377$	−12.6602			−0.652031
$378$	−5.10242	−	12.7658i	−0.262440	−	0.656601i
$379$	−16.9068			−0.868446			−0.434223	−	0.900805i	$-0.642977\pi$
$379$	−16.9068			−0.868446			−0.434223	+	0.900805i	$0.642977\pi$
$380$	2.97372	−	3.54395i	0.152549	−	0.181801i
$381$	19.6543	+	5.98675i	1.00692	+	0.306710i
$382$	2.26356	+	12.8373i	0.115814	+	0.656814i
$383$	19.2704	−	16.1698i	0.984673	−	0.826239i	−0.000114405	−	1.00000i	$-0.500036\pi$
$383$	19.2704	−	16.1698i	0.984673	−	0.826239i	0.984788	+	0.173761i	$0.0555920\pi$
$384$	−0.0924330	−	1.72958i	−0.00471695	−	0.0882624i
$385$	10.4404	−	4.34785i	0.532093	−	0.221587i
$386$	−14.8553	−	8.57672i	−0.756116	−	0.436544i
$387$	3.47596	+	12.0284i	0.176693	+	0.611437i
$388$			4.86644i			0.247056i
$389$	−12.3189	+	14.6811i	−0.624594	+	0.744362i	−0.981853	−	0.189643i	$-0.939267\pi$
$389$	−12.3189	+	14.6811i	−0.624594	+	0.744362i	0.357259	+	0.934005i	$0.383711\pi$
$390$	−0.684544	+	5.62312i	−0.0346632	+	0.284738i
$391$	14.8274	−	40.7378i	0.749852	−	2.06020i
$392$	6.75454	−	1.83745i	0.341156	−	0.0928051i
$393$	2.07977	−	17.0841i	0.104910	−	0.861776i
$394$	−17.4868	+	6.36466i	−0.880970	+	0.320647i
$395$	−3.57652			−0.179954
$396$	−9.68105	−	0.656895i	−0.486491	−	0.0330102i
$397$			2.53610i			0.127283i	0.997973	+	0.0636417i	$0.0202715\pi$
$397$			2.53610i			0.127283i	−0.997973	+	0.0636417i	$0.979729\pi$
$398$	−3.14949	−	2.64273i	−0.157870	−	0.132468i
$399$	−9.35362	−	13.0322i	−0.468267	−	0.652428i
$400$	−0.564945	−	3.20396i	−0.0282473	−	0.160198i
$401$	1.34219	−	3.68765i	0.0670260	−	0.184152i	−0.901658	−	0.432450i	$-0.857649\pi$
$401$	1.34219	−	3.68765i	0.0670260	−	0.184152i	0.968684	+	0.248298i	$0.0798713\pi$
$402$	10.4894	−	2.43306i	0.523162	−	0.121350i
$403$	−4.06124	+	23.0325i	−0.202305	+	1.14733i
$404$	3.07868	+	5.33244i	0.153170	+	0.265299i
$405$	−0.464158	−	11.8853i	−0.0230642	−	0.590585i
$406$	0.616136	+	13.5215i	0.0305783	+	0.671061i
$407$	9.63369	+	26.4684i	0.477524	+	1.31199i
$408$	−2.74596	+	9.01487i	−0.135945	+	0.446303i
$409$	7.26505	−	1.28102i	0.359233	−	0.0633425i	0.00888118	−	0.999961i	$-0.497173\pi$
$409$	7.26505	−	1.28102i	0.359233	−	0.0633425i	0.350352	+	0.936618i	$0.386062\pi$
$410$	3.29401	−	9.05021i	0.162679	−	0.446958i
$411$	0.517483	+	9.68301i	0.0255255	+	0.477628i
$412$	−1.64167	+	1.95646i	−0.0808791	+	0.0963880i
$413$	−0.998954	−	21.9227i	−0.0491553	−	1.07874i
$414$	19.8447	+	13.3259i	0.975314	+	0.654934i
$415$	−1.07086	+	1.85479i	−0.0525666	+	0.0910480i
$416$	1.89569	+	1.59067i	0.0929438	+	0.0779891i
$417$	1.21860	−	1.62061i	0.0596749	−	0.0793615i
$418$	−11.1503	+	1.96609i	−0.545378	+	0.0961648i
$419$	30.3322	+	11.0400i	1.48182	+	0.539340i	0.951283	−	0.308319i	$-0.0997664\pi$
$419$	30.3322	+	11.0400i	1.48182	+	0.539340i	0.530541	+	0.847659i	$0.321989\pi$
$420$	6.03900	+	0.457455i	0.294673	+	0.0223215i
$421$	−0.562989	+	3.19287i	−0.0274384	+	0.155611i	−0.995449	−	0.0953000i	$-0.969619\pi$
$421$	−0.562989	+	3.19287i	−0.0274384	+	0.155611i	0.968010	+	0.250911i	$0.0807301\pi$
$422$	−0.545714	−	0.315068i	−0.0265650	−	0.0153373i
$423$	0.171944	+	0.595003i	0.00836019	+	0.0289300i
$424$	−2.60298	−	4.50849i	−0.126412	−	0.218952i
$425$	−3.07378	+	17.4323i	−0.149100	+	0.845589i
$426$	−26.5068	+	1.41659i	−1.28426	+	0.0686338i
$427$	−3.93750	−	17.6024i	−0.190549	−	0.851838i
$428$	0.663510	+	0.790740i	0.0320720	+	0.0382219i
$429$	10.1293	−	9.46533i	0.489050	−	0.456990i
$430$	−5.43190	−	0.957790i	−0.261949	−	0.0461887i
$431$	23.2384	+	13.4167i	1.11935	+	0.646260i	0.941236	−	0.337749i	$-0.109666\pi$
$431$	23.2384	+	13.4167i	1.11935	+	0.646260i	0.178119	+	0.984009i	$0.442999\pi$
$432$	−4.46223	−	2.66242i	−0.214689	−	0.128096i
$433$		−	37.4558i		−	1.80001i	−0.435881	−	0.900004i	$-0.643563\pi$
$433$		−	37.4558i		−	1.80001i	0.435881	−	0.900004i	$-0.356437\pi$
$434$	24.7971	+	3.21662i	1.19030	+	0.154403i
$435$	−3.41234	+	11.2026i	−0.163609	+	0.537122i
$436$	16.6577	+	6.06291i	0.797760	+	0.290361i
$437$	26.2100	+	9.53967i	1.25380	+	0.456344i
$438$	−13.7386	+	0.734222i	−0.656455	+	0.0350825i
$439$	−18.2212	−	3.21289i	−0.869650	−	0.153343i	−0.279020	−	0.960285i	$-0.590010\pi$
$439$	−18.2212	−	3.21289i	−0.869650	−	0.153343i	−0.590630	+	0.806942i	$0.701121\pi$
$440$	2.13731	−	3.70192i	0.101892	−	0.176482i
$441$	6.72030	−	19.8957i	0.320014	−	0.947413i
$442$	−6.73207	−	11.6603i	−0.320212	−	0.554624i
$443$	11.1043	+	30.5088i	0.527581	+	1.44952i	0.861911	+	0.507060i	$0.169268\pi$
$443$	11.1043	+	30.5088i	0.527581	+	1.44952i	−0.334330	+	0.942456i	$0.608510\pi$
$444$	−1.82277	+	14.9730i	−0.0865050	+	0.710586i
$445$	11.4380	−	9.59760i	0.542212	−	0.454970i
$446$	−4.36315	−	24.7447i	−0.206601	−	1.17169i
$447$	−5.79370	−	13.6100i	−0.274033	−	0.643733i
$448$	1.60664	−	2.10208i	0.0759064	−	0.0993138i
$449$	−21.9646	+	12.6813i	−1.03657	+	0.598466i	−0.918861	−	0.394582i	$-0.870889\pi$
$449$	−21.9646	+	12.6813i	−1.03657	+	0.598466i	−0.117712	+	0.993048i	$0.537556\pi$
$450$	−8.92453	−	3.95141i	−0.420706	−	0.186271i
$451$	−20.4129	+	11.7854i	−0.961205	+	0.554952i
$452$	5.22353	+	14.3515i	0.245694	+	0.675040i
$453$	−12.2232	+	24.0507i	−0.574297	+	1.13000i
$454$	3.09913	−	0.546460i	0.145449	−	0.0256466i
$455$	−6.36843	+	5.85792i	−0.298557	+	0.274623i
$456$	−5.80001	−	1.76670i	−0.271610	−	0.0827333i
$457$	21.3575	+	17.9211i	0.999062	+	0.838312i	0.986854	−	0.161613i	$-0.0516697\pi$
$457$	21.3575	+	17.9211i	0.999062	+	0.838312i	0.0122075	+	0.999925i	$0.496114\pi$
$458$	−11.7544	+	20.3592i	−0.549246	+	0.951322i
$459$	17.8597	+	21.9159i	0.833620	+	1.02294i
$460$	−9.11958	+	5.26519i	−0.425203	+	0.245491i
$461$	−9.07636	+	3.30352i	−0.422728	+	0.153860i	−0.544620	−	0.838683i	$-0.683326\pi$
$461$	−9.07636	+	3.30352i	−0.422728	+	0.153860i	0.121892	+	0.992543i	$0.461104\pi$
$462$	−10.6023	−	10.3579i	−0.493262	−	0.481891i
$463$	−9.41846	+	7.90303i	−0.437713	+	0.367285i	−0.834853	−	0.550473i	$-0.814447\pi$
$463$	−9.41846	+	7.90303i	−0.437713	+	0.367285i	0.397140	+	0.917758i	$0.370003\pi$
$464$	3.28847	+	3.91904i	0.152663	+	0.181937i
$465$	19.2861	+	9.80168i	0.894369	+	0.454542i
$466$	−6.59954	+	2.40204i	−0.305718	+	0.111272i
$467$	−21.4774			−0.993857			−0.496929	−	0.867791i	$-0.665539\pi$
$467$	−21.4774			−0.993857			−0.496929	+	0.867791i	$0.665539\pi$
$468$	7.13211	−	2.06103i	0.329682	−	0.0952713i
$469$	14.6041	+	7.56714i	0.674355	+	0.349418i
$470$	−0.268697	−	0.0473786i	−0.0123941	−	0.00218541i
$471$	37.7505	+	4.59565i	1.73945	+	0.211756i
$472$	−5.33166	−	6.35403i	−0.245410	−	0.292468i
$473$	8.67698	+	10.3408i	0.398968	+	0.475471i
$474$	1.83592	+	4.31279i	0.0843268	+	0.198093i
$475$	−11.2156	−	1.97761i	−0.514607	−	0.0907392i
$476$	−12.1260	+	7.75757i	−0.555793	+	0.355568i
$477$	−15.5820	−	1.05730i	−0.713452	−	0.0484104i
$478$	−14.0316			−0.641792
$479$	17.7191	−	6.44923i	0.809607	−	0.294673i	0.0961454	−	0.995367i	$-0.469349\pi$
$479$	17.7191	−	6.44923i	0.809607	−	0.294673i	0.713461	+	0.700695i	$0.247126\pi$
$480$	1.91849	−	1.24870i	0.0875665	−	0.0569949i
$481$	−13.8523	−	16.5086i	−0.631612	−	0.752726i
$482$	−4.91222	+	4.12184i	−0.223746	+	0.187745i
$483$	9.86106	+	35.1569i	0.448694	+	1.59970i
$484$	0.505941	−	0.184148i	0.0229973	−	0.00837034i
$485$	−5.56981	+	3.21573i	−0.252912	+	0.146019i
$486$	−14.0938	+	6.66076i	−0.639306	+	0.302138i
$487$	2.95509	−	5.11837i	0.133908	−	0.231936i	−0.791272	−	0.611465i	$-0.790581\pi$
$487$	2.95509	−	5.11837i	0.133908	−	0.231936i	0.925180	+	0.379529i	$0.123914\pi$
$488$	−5.22250	−	4.38220i	−0.236411	−	0.198373i
$489$	2.57297	−	2.40430i	0.116354	−	0.108726i
$490$	6.56640	+	6.51662i	0.296640	+	0.294391i
$491$	1.31890	−	0.232558i	0.0595213	−	0.0104952i	−0.143808	−	0.989606i	$-0.545935\pi$
$491$	1.31890	−	0.232558i	0.0595213	−	0.0104952i	0.203330	+	0.979110i	$0.434824\pi$
$492$	−12.6042	+	0.673599i	−0.568242	+	0.0303682i
$493$	−9.52015	−	26.1564i	−0.428766	−	1.17803i
$494$	7.50203	−	4.33130i	0.337532	−	0.194874i
$495$	−5.64537	−	11.5144i	−0.253741	−	0.517532i
$496$	8.18477	−	4.72548i	0.367507	−	0.212180i
$497$	−32.2155	−	24.6226i	−1.44506	−	1.10447i
$498$	2.78633	+	0.339200i	0.124858	+	0.0151999i
$499$	−6.06536	−	34.3984i	−0.271523	−	1.53988i	−0.749794	−	0.661671i	$-0.769848\pi$
$499$	−6.06536	−	34.3984i	−0.271523	−	1.53988i	0.478271	−	0.878212i	$-0.341264\pi$
$500$	8.35573	−	7.01129i	0.373680	−	0.313554i
$501$	7.46084	−	3.17603i	0.333326	−	0.141894i
$502$	0.224710	+	0.617385i	0.0100293	+	0.0275553i
$503$	6.80337	+	11.7838i	0.303347	+	0.525413i	0.976892	−	0.213734i	$-0.0685625\pi$
$503$	6.80337	+	11.7838i	0.303347	+	0.525413i	−0.673545	+	0.739146i	$0.735229\pi$
$504$	−2.54836	−	7.51704i	−0.113513	−	0.334836i
$505$	−4.06877	+	7.04732i	−0.181058	+	0.313601i
$506$	25.3803	+	4.47523i	1.12829	+	0.198948i
$507$	5.39599	−	10.6173i	0.239644	−	0.471530i
$508$	11.1468	+	4.05709i	0.494558	+	0.180004i
$509$	−24.4820	−	8.91071i	−1.08514	−	0.394960i	−0.263324	−	0.964707i	$-0.584819\pi$
$509$	−24.4820	−	8.91071i	−1.08514	−	0.394960i	−0.821820	+	0.569747i	$0.807041\pi$
$510$	−12.1323	+	2.81416i	−0.537229	+	0.124613i
$511$	−16.6974	−	12.7620i	−0.738650	−	0.564556i
$512$		−	1.00000i		−	0.0441942i
$513$	−14.1003	+	11.4906i	−0.622543	+	0.507323i
$514$	20.9408	+	12.0902i	0.923661	+	0.533276i
$515$	−3.32404	−	0.586119i	−0.146475	−	0.0258275i
$516$	1.63338	+	7.04179i	0.0719055	+	0.309997i
$517$	0.429220	+	0.511525i	0.0188771	+	0.0224968i
$518$	−16.9576	+	15.5982i	−0.745073	+	0.685346i
$519$	−4.53667	−	6.97010i	−0.199138	−	0.305954i
$520$	−0.567912	+	3.22079i	−0.0249046	+	0.141241i
$521$	−9.41056	−	16.2996i	−0.412284	−	0.714097i	0.582855	−	0.812576i	$-0.301936\pi$
$521$	−9.41056	−	16.2996i	−0.412284	−	0.714097i	−0.995139	+	0.0984790i	$0.968602\pi$
$522$	15.2604	−	1.63578i	0.667931	−	0.0715961i
$523$	−18.1252	−	10.4646i	−0.792561	−	0.457585i	0.0483022	−	0.998833i	$-0.484619\pi$
$523$	−18.1252	−	10.4646i	−0.792561	−	0.457585i	−0.840863	+	0.541247i	$0.817952\pi$
$524$	1.72542	−	9.78535i	0.0753754	−	0.427475i
$525$	−6.45790	−	13.4377i	−0.281846	−	0.586468i
$526$	−6.07404	−	2.21077i	−0.264841	−	0.0963941i
$527$	−50.6400	+	8.92919i	−2.20591	+	0.388962i
$528$	−5.56115	−	0.677001i	−0.242018	−	0.0294627i
$529$	−31.0157	−	26.0253i	−1.34851	−	1.13153i
$530$	3.44008	−	5.95839i	0.149427	−	0.258816i
$531$	−24.7420	+	2.65212i	−1.07371	+	0.115092i
$532$	−4.99109	−	7.80164i	−0.216391	−	0.338244i
$533$	11.5919	−	13.8147i	0.502102	−	0.598381i
$534$	−17.4448	−	8.86592i	−0.754911	−	0.383666i
$535$	−0.466584	+	1.28193i	−0.0201722	+	0.0554226i
$536$	6.12237	−	1.07954i	0.264446	−	0.0466290i
$537$	31.2593	−	7.25077i	1.34894	−	0.312894i
$538$	1.36736	+	3.75679i	0.0589510	+	0.161967i
$539$	−2.05910	−	22.5472i	−0.0886918	−	0.971178i
$540$	0.0985976	−	6.86649i	0.00424297	−	0.295487i
$541$	−22.6708	−	39.2669i	−0.974692	−	1.68822i	−0.680946	−	0.732333i	$-0.738431\pi$
$541$	−22.6708	−	39.2669i	−0.974692	−	1.68822i	−0.293746	−	0.955883i	$-0.594902\pi$
$542$	2.09992	−	11.9092i	0.0901992	−	0.511545i
$543$	6.98623	−	22.9355i	0.299808	−	0.984258i
$544$	−1.86088	+	5.11272i	−0.0797844	+	0.219206i
$545$	4.06816	+	23.0717i	0.174261	+	0.988282i
$546$	10.3329	+	4.67243i	0.442209	+	0.199961i
$547$	14.1315	+	11.8577i	0.604217	+	0.506998i	0.892798	−	0.450457i	$-0.148739\pi$
$547$	14.1315	+	11.8577i	0.604217	+	0.506998i	−0.288581	+	0.957456i	$0.593183\pi$
$548$			5.59847i			0.239155i
$549$	−19.6485	+	5.67802i	−0.838577	+	0.242332i
$550$	−10.5229			−0.448697
$551$	16.8286	−	6.12510i	0.716921	−	0.260938i
$552$	11.0304	+	8.29420i	0.469487	+	0.353025i
$553$	−2.14005	+	6.83267i	−0.0910042	+	0.290555i
$554$	−2.20105	+	6.04734i	−0.0935137	+	0.256927i
$555$	−18.3416	+	7.80788i	−0.778556	+	0.331426i
$556$	0.752487	−	0.896779i	0.0319126	−	0.0380319i
$557$		−	17.5565i		−	0.743895i	−0.928254	−	0.371947i	$-0.878690\pi$
$557$		−	17.5565i		−	0.743895i	0.928254	−	0.371947i	$-0.121310\pi$
$558$	1.91943	−	28.2878i	0.0812561	−	1.19752i
$559$	−8.94428	−	5.16398i	−0.378303	−	0.218413i
$560$	3.46756	+	0.449803i	0.146531	+	0.0190076i
$561$	27.1728	+	13.8099i	1.14724	+	0.583056i
$562$	3.54928	−	2.97820i	0.149717	−	0.125628i
$563$	4.86859	+	27.6111i	0.205186	+	1.16367i	0.897146	+	0.441734i	$0.145637\pi$
$563$	4.86859	+	27.6111i	0.205186	+	1.16367i	−0.691960	+	0.721936i	$0.743252\pi$
$564$	0.0807977	+	0.348333i	0.00340220	+	0.0146675i
$565$	−12.9741	+	15.4620i	−0.545826	+	0.650490i
$566$	24.3021			1.02149
$567$	−22.9837	−	6.22496i	−0.965224	−	0.261424i
$568$	−15.3256			−0.643046
$569$	−0.735813	+	0.876908i	−0.0308469	+	0.0367619i	−0.781247	−	0.624222i	$-0.785416\pi$
$569$	−0.735813	+	0.876908i	−0.0308469	+	0.0367619i	0.750400	+	0.660983i	$0.229861\pi$
$570$	−1.81058	−	7.80574i	−0.0758369	−	0.326946i
$571$	4.55296	+	25.8211i	0.190535	+	1.08058i	0.918635	+	0.395108i	$0.129293\pi$
$571$	4.55296	+	25.8211i	0.190535	+	1.08058i	−0.728099	+	0.685472i	$0.759596\pi$
$572$	6.13149	−	5.14493i	0.256370	−	0.215120i
$573$	20.1276	+	10.2294i	0.840843	+	0.427339i
$574$	−15.3187	−	11.7083i	−0.639392	−	0.488693i
$575$	22.4498	+	12.9614i	0.936223	+	0.540528i
$576$	−2.49057	−	1.67244i	−0.103774	−	0.0696851i
$577$		−	44.8950i		−	1.86900i	−0.355959	−	0.934502i	$-0.615846\pi$
$577$		−	44.8950i		−	1.86900i	0.355959	−	0.934502i	$-0.384154\pi$
$578$	8.10089	−	9.65426i	0.336953	−	0.401564i
$579$	−27.3368	+	11.6371i	−1.13608	+	0.483621i
$580$	−2.31247	+	6.35346i	−0.0960200	+	0.263813i
$581$	2.90267	+	3.15564i	0.120423	+	0.130918i
$582$	6.73687	+	5.06571i	0.279252	+	0.209980i
$583$	−15.8229	+	5.75905i	−0.655316	+	0.238516i
$584$	−7.94329			−0.328696
$585$	7.07180	+	6.80101i	0.292383	+	0.281187i
$586$		−	7.40659i		−	0.305963i
$587$	28.6748	+	24.0610i	1.18353	+	0.993103i	0.999949	+	0.0100992i	$0.00321474\pi$
$587$	28.6748	+	24.0610i	1.18353	+	0.993103i	0.183585	+	0.983004i	$0.441230\pi$
$588$	4.48744	−	11.2633i	0.185059	−	0.464492i
$589$	−5.74488	−	32.5809i	−0.236714	−	1.34247i
$590$	3.74925	−	10.3010i	0.154354	−	0.424085i
$591$	−9.39185	+	30.8331i	−0.386329	+	1.26830i
$592$	−1.51221	+	8.57618i	−0.0621515	+	0.352479i
$593$	−0.173384	−	0.300309i	−0.00712002	−	0.0123322i	0.862443	−	0.506153i	$-0.168933\pi$
$593$	−0.173384	−	0.300309i	−0.00712002	−	0.0123322i	−0.869563	+	0.493821i	$0.835600\pi$
$594$	−10.9868	+	12.7182i	−0.450795	+	0.521834i
$595$	−16.8916	−	8.75241i	−0.692488	−	0.358814i
$596$	−2.92089	−	8.02508i	−0.119644	−	0.328720i
$597$	−6.93692	+	1.60905i	−0.283909	+	0.0658542i
$598$	−19.4183	+	3.42397i	−0.794072	+	0.140016i
$599$	8.55821	−	23.5135i	0.349679	−	0.960735i	−0.632792	−	0.774321i	$-0.718091\pi$
$599$	8.55821	−	23.5135i	0.349679	−	0.960735i	0.982471	−	0.186413i	$-0.0596864\pi$
$600$	−5.02349	−	2.55307i	−0.205083	−	0.104229i
$601$	0.589593	−	0.702650i	0.0240500	−	0.0286617i	−0.753885	−	0.657006i	$-0.771823\pi$
$601$	0.589593	−	0.702650i	0.0240500	−	0.0286617i	0.777935	+	0.628344i	$0.216267\pi$
$602$	−5.08002	+	9.80413i	−0.207046	+	0.399587i
$603$	7.55065	−	17.0537i	0.307486	−	0.694478i
$604$	−7.78805	+	13.4893i	−0.316891	+	0.548872i
$605$	0.545088	+	0.457383i	0.0221610	+	0.0185953i
$606$	10.5867	+	1.28880i	0.430056	+	0.0523539i
$607$	−33.1127	+	5.83867i	−1.34400	+	0.236984i	−0.798940	−	0.601410i	$-0.794606\pi$
$607$	−33.1127	+	5.83867i	−1.34400	+	0.236984i	−0.545064	+	0.838394i	$0.683495\pi$
$608$	−3.28943	−	1.19726i	−0.133404	−	0.0485551i
$609$	19.3599	+	13.2222i	0.784502	+	0.535791i
$610$	1.56456	−	8.87307i	0.0633472	−	0.359260i
$611$	−0.442443	−	0.255445i	−0.0178993	−	0.0103342i
$612$	9.62136	+	13.1854i	0.388921	+	0.532987i
$613$	−11.0206	−	19.0882i	−0.445117	−	0.770965i	0.552944	−	0.833219i	$-0.313505\pi$
$613$	−11.0206	−	19.0882i	−0.445117	−	0.770965i	−0.998060	+	0.0622538i	$0.980171\pi$
$614$	−2.16800	+	12.2953i	−0.0874933	+	0.496199i
$615$	−9.09979	−	13.9808i	−0.366939	−	0.563762i
$616$	−5.79337	−	6.29825i	−0.233421	−	0.253764i
$617$	−28.2055	−	33.6140i	−1.13551	−	1.35325i	−0.926927	−	0.375242i	$-0.877559\pi$
$617$	−28.2055	−	33.6140i	−1.13551	−	1.35325i	−0.208583	−	0.978005i	$-0.566885\pi$
$618$	0.999545	+	4.30922i	0.0402076	+	0.173342i
$619$	−7.87736	−	1.38899i	−0.316618	−	0.0558283i	0.0130809	−	0.999914i	$-0.495836\pi$
$619$	−7.87736	−	1.38899i	−0.316618	−	0.0558283i	−0.329699	+	0.944086i	$0.606947\pi$
$620$	10.8169	+	6.24516i	0.434419	+	0.250812i
$621$	39.1051	−	13.6005i	1.56923	−	0.545769i
$622$		−	1.41441i		−	0.0567125i
$623$	−11.4915	−	27.5942i	−0.460395	−	1.10554i
$624$	4.17536	−	0.968496i	0.167148	−	0.0387709i
$625$	−1.73984	−	0.633249i	−0.0695935	−	0.0253300i
$626$	−18.9307	−	6.89023i	−0.756625	−	0.275389i
$627$	−8.88507	+	17.4825i	−0.354836	+	0.698184i
$628$	21.6226	+	3.81265i	0.862836	+	0.152141i
$629$	23.6907	−	41.0335i	0.944611	−	1.63611i
$630$	6.91956	−	7.88392i	0.275682	−	0.314103i
$631$	13.6854	+	23.7037i	0.544805	+	0.943630i	0.998619	+	0.0525339i	$0.0167298\pi$
$631$	13.6854	+	23.7037i	0.544805	+	0.943630i	−0.453814	+	0.891096i	$0.649937\pi$
$632$	0.925580	+	2.54301i	0.0368176	+	0.101155i
$633$	−1.00423	+	0.427492i	−0.0399144	+	0.0169913i
$634$	3.13354	−	2.62936i	0.124449	−	0.104425i
$635$	2.72227	+	15.4388i	0.108030	+	0.612669i
$636$	−8.95090	−	1.08966i	−0.354926	−	0.0432078i
$637$	7.38049	+	15.6716i	0.292426	+	0.620930i
$638$	14.3303	−	8.27361i	0.567342	−	0.327555i
$639$	−25.6311	+	38.1694i	−1.01395	+	1.50996i
$640$	1.14453	−	0.660797i	0.0452417	−	0.0261203i
$641$	−11.0769	−	30.4336i	−0.437513	−	1.20206i	−0.941105	−	0.338115i	$-0.890211\pi$
$641$	−11.0769	−	30.4336i	−0.437513	−	1.20206i	0.503592	−	0.863942i	$-0.332012\pi$
$642$	1.78534	−	0.0954128i	0.0704618	−	0.00376564i
$643$	37.0625	−	6.53511i	1.46160	−	0.257720i	0.614401	−	0.788994i	$-0.289398\pi$
$643$	37.0625	−	6.53511i	1.46160	−	0.257720i	0.847200	+	0.531274i	$0.178287\pi$
$644$	4.60195	+	20.5728i	0.181342	+	0.810681i
$645$	−6.98023	+	6.52265i	−0.274846	+	0.256829i
$646$	14.5900	+	12.2425i	0.574036	+	0.481673i
$647$	1.96682	−	3.40664i	0.0773238	−	0.133929i	−0.824771	−	0.565467i	$-0.808696\pi$
$647$	1.96682	−	3.40664i	0.0773238	−	0.133929i	0.902094	+	0.431539i	$0.142029\pi$
$648$	−8.33067	+	3.40587i	−0.327260	+	0.133795i
$649$	−23.2340	+	13.4142i	−0.912015	+	0.526552i
$650$	7.56545	−	2.75360i	0.296741	−	0.108005i
$651$	30.2654	−	30.9796i	1.18620	−	1.21419i
$652$	1.55747	−	1.30687i	0.0609952	−	0.0511810i
$653$	−2.05915	−	2.45400i	−0.0805806	−	0.0960323i	0.724248	−	0.689540i	$-0.242187\pi$
$653$	−2.05915	−	2.45400i	−0.0805806	−	0.0960323i	−0.804828	+	0.593508i	$0.797743\pi$
$654$	25.7330	−	16.7490i	1.00624	−	0.654937i
$655$	12.3398	−	4.49132i	0.482156	−	0.175491i
$656$	−7.28744			−0.284527
$657$	−13.2847	+	19.7833i	−0.518286	+	0.771821i
$658$	−0.251292	+	0.484977i	−0.00979636	+	0.0189064i
$659$	−10.2116	−	1.80057i	−0.397786	−	0.0701403i	−0.0288229	−	0.999585i	$-0.509176\pi$
$659$	−10.2116	−	1.80057i	−0.397786	−	0.0701403i	−0.368963	+	0.929444i	$0.620287\pi$
$660$	−2.89994	−	6.81229i	−0.112880	−	0.265168i
$661$	5.34764	+	6.37307i	0.207999	+	0.247884i	0.859951	−	0.510377i	$-0.170494\pi$
$661$	5.34764	+	6.37307i	0.207999	+	0.247884i	−0.651952	+	0.758260i	$0.726050\pi$
$662$	−11.9662	−	14.2607i	−0.465079	−	0.554259i
$663$	−23.1497	−	2.81818i	−0.899059	−	0.109449i
$664$	1.59594	+	0.281408i	0.0619346	+	0.0109207i
$665$	5.63115	−	10.8678i	0.218367	−	0.421434i
$666$	18.8305	+	18.1094i	0.729666	+	0.701726i
$667$	−40.7636			−1.57837
$668$	4.39924	−	1.60119i	0.170212	−	0.0619519i
$669$	−38.7972	−	19.7177i	−1.49998	−	0.762332i
$670$	5.28121	+	6.29390i	0.204031	+	0.243155i
$671$	−16.8918	+	14.1739i	−0.652102	+	0.547179i
$672$	−1.23759	−	4.41230i	−0.0477411	−	0.170208i
$673$	32.8164	−	11.9442i	1.26498	−	0.460414i	0.379542	−	0.925175i	$-0.376082\pi$
$673$	32.8164	−	11.9442i	1.26498	−	0.460414i	0.885437	+	0.464760i	$0.153859\pi$
$674$	27.8479	−	16.0780i	1.07266	−	0.619301i
$675$	−14.7601	+	8.24148i	−0.568117	+	0.317215i
$676$	3.43807	−	5.95491i	0.132233	−	0.229035i
$677$	17.4389	+	14.6330i	0.670232	+	0.562391i	0.913134	−	0.407659i	$-0.133655\pi$
$677$	17.4389	+	14.6330i	0.670232	+	0.562391i	−0.242902	+	0.970051i	$0.578099\pi$
$678$	25.3050	+	7.70798i	0.971833	+	0.296023i
$679$	2.81065	+	12.5649i	0.107863	+	0.482196i
$680$	−7.08134	+	1.24863i	−0.271557	+	0.0478828i
$681$	2.46953	−	4.85912i	0.0946328	−	0.186202i
$682$	−10.4551	−	28.7250i	−0.400345	−	1.09994i
$683$	−6.72735	+	3.88404i	−0.257415	+	0.148619i	−0.623155	−	0.782099i	$-0.714149\pi$
$683$	−6.72735	+	3.88404i	−0.257415	+	0.148619i	0.365740	+	0.930717i	$0.380816\pi$
$684$	−8.48324	+	6.19022i	−0.324365	+	0.236689i
$685$	−6.40763	+	3.69945i	−0.244823	+	0.141349i
$686$	16.3786	−	8.64532i	0.625338	−	0.330080i
$687$	15.9486	+	37.4650i	0.608476	+	1.42938i
$688$	0.724723	+	4.11011i	0.0276298	+	0.156696i
$689$	9.86887	−	8.28096i	0.375974	−	0.315480i
$690$	−2.20412	+	18.1055i	−0.0839093	+	0.689264i
$691$	−3.97833	−	10.9304i	−0.151343	−	0.415811i	0.840733	−	0.541450i	$-0.182124\pi$
$691$	−3.97833	−	10.9304i	−0.151343	−	0.415811i	−0.992076	+	0.125638i	$0.959902\pi$
$692$	−2.40076	−	4.15824i	−0.0912631	−	0.158072i
$693$	−25.3753	+	3.89531i	−0.963929	+	0.147971i
$694$	−8.47954	+	14.6870i	−0.321879	+	0.557511i
$695$	1.52364	+	0.268658i	0.0577948	+	0.0101908i
$696$	8.84846	−	0.472882i	0.335400	−	0.0179246i
$697$	37.2586	+	13.5610i	1.41127	+	0.513660i
$698$	24.2957	+	8.84292i	0.919606	+	0.334709i
$699$	−3.54451	+	11.6365i	−0.134066	+	0.440132i
$700$	−3.30913	−	7.94616i	−0.125073	−	0.300337i
$701$		−	42.0002i		−	1.58632i	−0.609010	−	0.793162i	$-0.708433\pi$
$701$		−	42.0002i		−	1.58632i	0.609010	−	0.793162i	$-0.291567\pi$
$702$	4.57095	−	12.0188i	0.172519	−	0.453619i
$703$	26.4003	+	15.2422i	0.995705	+	0.574870i
$704$	−3.18530	−	0.561654i	−0.120050	−	0.0211681i
$705$	−0.345288	+	0.322653i	−0.0130043	+	0.0121518i
$706$	−13.8660	−	16.5249i	−0.521854	−	0.621921i
$707$	11.0288	+	11.9899i	0.414780	+	0.450928i
$708$	−14.3462	+	0.766694i	−0.539163	+	0.0288141i
$709$	−2.96376	+	16.8083i	−0.111306	+	0.631250i	0.877207	+	0.480113i	$0.159404\pi$
$709$	−2.96376	+	16.8083i	−0.111306	+	0.631250i	−0.988513	+	0.151137i	$0.951707\pi$
$710$	−10.1271	−	17.5406i	−0.380063	−	0.658288i
$711$	7.88152	+	1.94782i	0.295580	+	0.0730489i
$712$	−9.78425	−	5.64894i	−0.366680	−	0.211703i
$713$	−13.0765	+	74.1607i	−0.489720	+	2.77734i
$714$	−1.88329	+	24.8618i	−0.0704802	+	0.930431i
$715$	9.94021	+	3.61794i	0.371743	+	0.135303i
$716$	18.2453	−	3.21713i	0.681858	−	0.120230i
$717$	−14.6062	+	19.4247i	−0.545478	+	0.725430i
$718$	15.2530	+	12.7988i	0.569237	+	0.477646i
$719$	6.39472	−	11.0760i	0.238483	−	0.413065i	−0.721796	−	0.692106i	$-0.756683\pi$
$719$	6.39472	−	11.0760i	0.238483	−	0.413065i	0.960279	+	0.279041i	$0.0900166\pi$
$720$	0.268408	−	3.95569i	0.0100030	−	0.147420i
$721$	−3.10872	+	5.99963i	−0.115775	+	0.223438i
$722$	4.33638	−	5.16790i	0.161383	−	0.192329i
$723$	0.592722	+	11.0909i	0.0220436	+	0.412474i
$724$	4.73442	−	13.0077i	0.175953	−	0.483428i
$725$	16.3913	−	2.89023i	0.608758	−	0.107340i
$726$	0.271733	−	0.892089i	0.0100849	−	0.0331085i
$727$	−0.383307	−	1.05313i	−0.0142161	−	0.0390583i	0.932382	−	0.361475i	$-0.117727\pi$
$727$	−0.383307	−	1.05313i	−0.0142161	−	0.0390583i	−0.946598	+	0.322417i	$0.895505\pi$
$728$	5.81326	+	3.01215i	0.215454	+	0.111638i
$729$	−5.45003	+	26.4442i	−0.201853	+	0.979416i
$730$	−5.24890	−	9.09137i	−0.194271	−	0.336487i
$731$	3.94310	−	22.3625i	0.145841	−	0.827105i
$732$	−11.5028	+	2.66814i	−0.425157	+	0.0986174i
$733$	2.93689	−	8.06905i	0.108477	−	0.298037i	−0.873563	−	0.486711i	$-0.838197\pi$
$733$	2.93689	−	8.06905i	0.108477	−	0.298037i	0.982040	+	0.188674i	$0.0604188\pi$
$734$	4.09973	+	23.2507i	0.151324	+	0.858200i
$735$	15.8566	−	2.30675i	0.584878	−	0.0850859i
$736$	6.10380	+	5.12170i	0.224989	+	0.188788i
$737$		−	20.1079i		−	0.740684i
$738$	−12.1878	+	18.1499i	−0.448640	+	0.668106i
$739$	16.9379			0.623072			0.311536	−	0.950234i	$-0.399157\pi$
$739$	16.9379			0.623072			0.311536	+	0.950234i	$0.399157\pi$
$740$	−10.8150	+	3.93633i	−0.397567	+	0.144703i
$741$	1.81317	−	14.8941i	0.0666085	−	0.547148i
$742$	−9.32465	−	10.1373i	−0.342319	−	0.372152i
$743$	−16.6870	+	45.8471i	−0.612186	+	1.68197i	0.113153	+	0.993578i	$0.463905\pi$
$743$	−16.6870	+	45.8471i	−0.612186	+	1.68197i	−0.725340	+	0.688391i	$0.758317\pi$
$744$	1.97818	−	16.2496i	0.0725237	−	0.595738i
$745$	7.25486	−	8.64600i	0.265797	−	0.316765i
$746$		−	6.90730i		−	0.252894i
$747$	3.36999	−	3.50417i	0.123301	−	0.128211i
$748$	15.2404	+	8.79903i	0.557243	+	0.321724i
$749$	2.16984	+	1.65843i	0.0792843	+	0.0605977i
$750$	−1.00822	−	18.8656i	−0.0368152	−	0.688876i
$751$	−26.8897	+	22.5632i	−0.981220	+	0.823341i	−0.984273	−	0.176654i	$-0.943473\pi$
$751$	−26.8897	+	22.5632i	−0.981220	+	0.823341i	0.00305298	+	0.999995i	$0.499028\pi$
$752$	0.0358496	+	0.203313i	0.00130730	+	0.00741407i
$753$	1.08859	+	0.331588i	0.0396704	+	0.0120837i
$754$	−8.13779	+	9.69824i	−0.296361	+	0.353189i
$755$	−20.5853			−0.749175
$756$	−13.0589	−	4.29701i	−0.474949	−	0.156281i
$757$	−2.16446			−0.0786685			−0.0393342	−	0.999226i	$-0.512524\pi$
$757$	−2.16446			−0.0786685			−0.0393342	+	0.999226i	$0.512524\pi$
$758$	−10.8675	+	12.9514i	−0.394725	+	0.470415i
$759$	32.6148	−	30.4768i	1.18384	−	1.10624i
$760$	−0.803348	−	4.55601i	−0.0291405	−	0.165264i
$761$	−13.0221	+	10.9268i	−0.472050	+	0.396097i	−0.847542	−	0.530729i	$-0.821918\pi$
$761$	−13.0221	+	10.9268i	−0.472050	+	0.396097i	0.375491	+	0.926826i	$0.377474\pi$
$762$	17.2196	−	11.2078i	0.623801	−	0.406017i
$763$	46.5110	+	6.03329i	1.68381	+	0.218420i
$764$	11.2889	+	6.51767i	0.408420	+	0.235801i
$765$	−8.73334	+	19.7248i	−0.315754	+	0.713153i
$766$		−	25.1558i		−	0.908915i
$767$	13.1940	−	15.7240i	0.476407	−	0.567759i
$768$	−1.38435	−	1.04095i	−0.0499535	−	0.0375619i
$769$	−7.72810	+	21.2328i	−0.278683	+	0.765674i	0.718830	+	0.695186i	$0.244678\pi$
$769$	−7.72810	+	21.2328i	−0.278683	+	0.765674i	−0.997513	+	0.0704881i	$0.977544\pi$
$770$	3.38033	−	10.7926i	0.121818	−	0.388937i
$771$	38.5354	−	16.4042i	1.38782	−	0.590784i
$772$	−16.1190	+	5.86682i	−0.580134	+	0.211152i
$773$	−29.2828			−1.05323			−0.526614	−	0.850105i	$-0.676539\pi$
$773$	−29.2828			−1.05323			−0.526614	+	0.850105i	$0.676539\pi$
$774$	11.4486	+	5.06895i	0.411510	+	0.182200i
$775$		−	30.7477i		−	1.10449i
$776$	3.72791	+	3.12809i	0.133824	+	0.112292i
$777$	3.94148	+	39.7121i	0.141400	+	1.42467i
$778$	3.32794	+	18.8737i	0.119312	+	0.676654i
$779$	−8.72493	+	23.9715i	−0.312603	+	0.858869i
$780$	3.86754	+	4.13886i	0.138480	+	0.148195i
$781$	−8.60766	+	48.8165i	−0.308006	+	1.74679i
$782$	−21.6762	−	37.5442i	−0.775138	−	1.34258i
$783$	13.6208	−	22.8286i	0.486768	−	0.815826i
$784$	2.93417	−	6.35536i	0.104792	−	0.226977i
$785$	9.92444	+	27.2672i	0.354219	+	0.973207i
$786$	−11.7503	−	12.5746i	−0.419119	−	0.448522i
$787$	−24.3477	+	4.29316i	−0.867902	+	0.153035i	−0.589832	−	0.807526i	$-0.700806\pi$
$787$	−24.3477	+	4.29316i	−0.867902	+	0.153035i	−0.278070	+	0.960561i	$0.589695\pi$
$788$	−6.36466	+	17.4868i	−0.226732	+	0.622940i
$789$	−9.38323	+	6.10731i	−0.334052	+	0.217426i
$790$	−2.29894	+	2.73977i	−0.0817926	+	0.0974766i
$791$	21.7757	+	34.0380i	0.774255	+	1.21025i
$792$	−6.72607	+	6.99387i	−0.239001	+	0.248516i
$793$	8.43543	−	14.6106i	0.299551	−	0.518837i
$794$	1.94277	+	1.63018i	0.0689463	+	0.0578528i
$795$	−4.66757	−	10.9646i	−0.165542	−	0.388876i
$796$	−4.04890	+	0.713931i	−0.143510	+	0.0253046i
$797$	−27.1191	−	9.87056i	−0.960610	−	0.349633i	−0.186337	−	0.982486i	$-0.559662\pi$
$797$	−27.1191	−	9.87056i	−0.960610	−	0.349633i	−0.774272	+	0.632853i	$0.781884\pi$
$798$	−15.9957	−	1.21167i	−0.566241	−	0.0428928i
$799$	0.195052	−	1.10619i	0.00690044	−	0.0391343i
$800$	−2.81752	−	1.62669i	−0.0996143	−	0.0575124i
$801$	−30.4327	+	14.9208i	−1.07529	+	0.527201i
$802$	−1.96216	−	3.39855i	−0.0692861	−	0.120007i
$803$	−4.46138	+	25.3018i	−0.157439	+	0.892880i
$804$	4.87860	−	9.59926i	0.172055	−	0.338540i
$805$	−20.5053	+	18.8615i	−0.722716	+	0.664781i
$806$	15.0334	+	17.9161i	0.529528	+	0.631067i
$807$	6.62407	+	2.01771i	0.233178	+	0.0710267i
$808$	6.06382	+	1.06922i	0.213325	+	0.0376149i
$809$	39.9878	+	23.0870i	1.40590	+	0.811695i	0.994989	−	0.0999818i	$-0.0318785\pi$
$809$	39.9878	+	23.0870i	1.40590	+	0.811695i	0.410908	+	0.911677i	$0.365212\pi$
$810$	−9.40301	−	7.28415i	−0.330388	−	0.255939i
$811$			43.5219i			1.52826i	0.645062	+	0.764130i	$0.276832\pi$
$811$			43.5219i			1.52826i	−0.645062	+	0.764130i	$0.723168\pi$
$812$	10.7541	+	8.21946i	0.377395	+	0.288447i
$813$	−14.3007	−	15.3039i	−0.501546	−	0.536731i
$814$	26.4684	+	9.63369i	0.927715	+	0.337661i
$815$	2.52493	+	0.918999i	0.0884444	+	0.0321911i
$816$	5.14073	+	7.89817i	0.179961	+	0.276491i
$817$	14.3876	+	2.53692i	0.503359	+	0.0887558i
$818$	3.68856	−	6.38877i	0.128968	−	0.223378i
$819$	17.2243	−	9.44068i	0.601866	−	0.329884i
$820$	−4.81552	−	8.34072i	−0.168165	−	0.291270i
$821$	6.56691	+	18.0424i	0.229187	+	0.629686i	0.999973	−	0.00740877i	$-0.00235831\pi$
$821$	6.56691	+	18.0424i	0.229187	+	0.629686i	−0.770786	+	0.637095i	$0.780136\pi$
$822$	7.75025	+	5.82770i	0.270321	+	0.203265i
$823$	32.8558	−	27.5693i	1.14528	−	0.961005i	0.145683	−	0.989331i	$-0.453462\pi$
$823$	32.8558	−	27.5693i	1.14528	−	0.961005i	0.999599	+	0.0283261i	$0.00901768\pi$
$824$	0.443494	+	2.51518i	0.0154498	+	0.0876204i
$825$	−10.9538	+	14.5674i	−0.381361	+	0.507171i
$826$	−17.4359	−	13.3264i	−0.606671	−	0.463684i
$827$	9.34402	−	5.39477i	0.324923	−	0.187595i	−0.328662	−	0.944448i	$-0.606598\pi$
$827$	9.34402	−	5.39477i	0.324923	−	0.187595i	0.653585	+	0.756853i	$0.273264\pi$
$828$	22.9642	−	6.63619i	0.798061	−	0.230623i
$829$	18.9349	−	10.9321i	0.657636	−	0.379686i	−0.133740	−	0.991016i	$-0.542699\pi$
$829$	18.9349	−	10.9321i	0.657636	−	0.379686i	0.791376	+	0.611330i	$0.209365\pi$
$830$	0.732513	+	2.01256i	0.0254259	+	0.0698571i
$831$	6.08047	+	9.34198i	0.210929	+	0.324070i
$832$	2.43705	−	0.429718i	0.0844895	−	0.0148978i
$833$	−26.8281	+	27.0331i	−0.929539	+	0.936640i
$834$	−0.458159	−	1.97521i	−0.0158648	−	0.0683958i
$835$	4.73962	+	3.97701i	0.164021	+	0.137630i
$836$	−5.66114	+	9.80539i	−0.195795	+	0.339126i
$837$	−37.1623	−	32.1033i	−1.28452	−	1.10965i
$838$	27.9543	−	16.1394i	0.965665	−	0.557527i
$839$	49.0117	−	17.8388i	1.69207	−	0.615864i	0.697187	−	0.716889i	$-0.254435\pi$
$839$	49.0117	−	17.8388i	1.69207	−	0.615864i	0.994884	+	0.101025i	$0.0322123\pi$
$840$	4.23223	−	4.33210i	0.146026	−	0.149472i
$841$	2.16566	−	1.81720i	0.0746779	−	0.0626622i
$842$	2.08400	+	2.48361i	0.0718192	+	0.0855908i
$843$	−0.428265	−	8.01359i	−0.0147502	−	0.276003i
$844$	−0.592135	+	0.215519i	−0.0203821	+	0.00741849i
$845$	9.08745			0.312618
$846$	0.566322	+	0.250744i	0.0194705	+	0.00862075i
$847$	1.19996	−	0.767669i	0.0412309	−	0.0263774i
$848$	−5.12686	−	0.904005i	−0.176057	−	0.0310436i
$849$	25.2972	−	33.6426i	0.868196	−	1.15461i
$850$	11.3781	+	13.5599i	0.390265	+	0.465100i
$851$	−44.6022	−	53.1548i	−1.52894	−	1.82212i
$852$	−15.9531	+	21.2160i	−0.546544	+	0.726847i
$853$	−51.1543	−	9.01988i	−1.75149	−	0.308835i	−0.796316	−	0.604881i	$-0.793221\pi$
$853$	−51.1543	−	9.01988i	−1.75149	−	0.308835i	−0.955174	+	0.296046i	$0.904332\pi$
$854$	−16.0152	−	8.29828i	−0.548028	−	0.283961i
$855$	−12.6906	−	5.61888i	−0.434010	−	0.192162i
$856$	1.03224			0.0352812
$857$	2.83004	−	1.03005i	0.0966725	−	0.0351859i	−0.293231	−	0.956042i	$-0.594731\pi$
$857$	2.83004	−	1.03005i	0.0966725	−	0.0351859i	0.389904	+	0.920856i	$0.372508\pi$
$858$	−0.739841	−	13.8437i	−0.0252578	−	0.472617i
$859$	5.11191	+	6.09213i	0.174416	+	0.207861i	0.846170	−	0.532914i	$-0.178903\pi$
$859$	5.11191	+	6.09213i	0.174416	+	0.207861i	−0.671753	+	0.740775i	$0.734459\pi$
$860$	−4.22527	+	3.54542i	−0.144080	+	0.120898i
$861$	−32.1543	+	9.01887i	−1.09582	+	0.307362i
$862$	25.2151	−	9.17756i	0.858831	−	0.312589i
$863$	9.34068	−	5.39284i	0.317960	−	0.183574i	−0.332523	−	0.943095i	$-0.607900\pi$
$863$	9.34068	−	5.39284i	0.317960	−	0.183574i	0.650483	+	0.759521i	$0.274566\pi$
$864$	−4.90780	+	1.70690i	−0.166967	+	0.0580699i
$865$	3.17283	−	5.49550i	0.107879	−	0.186853i
$866$	−28.6928	−	24.0761i	−0.975020	−	0.818139i
$867$	−4.93231	−	21.2641i	−0.167510	−	0.722165i
$868$	18.4034	−	16.9281i	0.624651	−	0.574577i
$869$	8.62010	−	1.51996i	0.292417	−	0.0515610i
$870$	6.38826	+	9.81488i	0.216582	+	0.332756i
$871$	5.26178	+	14.4566i	0.178289	+	0.489844i
$872$	15.3518	−	8.86339i	0.519879	−	0.300152i
$873$	14.0254	−	4.05307i	0.474689	−	0.137176i
$874$	24.1553	−	13.9461i	0.817065	−	0.471733i
$875$	17.5246	−	22.9287i	0.592439	−	0.775130i
$876$	−8.26854	+	10.9963i	−0.279368	+	0.371531i
$877$	−2.30733	−	13.0855i	−0.0779130	−	0.441867i	−0.998662	−	0.0517114i	$-0.983532\pi$
$877$	−2.30733	−	13.0855i	−0.0779130	−	0.441867i	0.920749	−	0.390155i	$-0.127579\pi$
$878$	−14.1736	+	11.8930i	−0.478335	+	0.401371i
$879$	−10.2533	−	7.70986i	−0.345836	−	0.260047i
$880$	−1.46200	−	4.01682i	−0.0492841	−	0.135407i
$881$	1.02475	+	1.77491i	0.0345246	+	0.0597983i	0.882771	−	0.469803i	$-0.155675\pi$
$881$	1.02475	+	1.77491i	0.0345246	+	0.0597983i	−0.848247	+	0.529601i	$0.822342\pi$
$882$	−10.9212	−	17.9367i	−0.367737	−	0.603961i
$883$	−14.9724	+	25.9330i	−0.503862	+	0.872714i	0.496128	+	0.868249i	$0.334755\pi$
$883$	−14.9724	+	25.9330i	−0.503862	+	0.872714i	−0.999990	+	0.00446491i	$0.998579\pi$
$884$	−13.2596	−	2.33802i	−0.445969	−	0.0786363i
$885$	−10.3574	−	15.9131i	−0.348161	−	0.534912i
$886$	30.5088	+	11.1043i	1.02496	+	0.373056i
$887$	−9.49462	−	3.45576i	−0.318798	−	0.116033i	0.177665	−	0.984091i	$-0.443146\pi$
$887$	−9.49462	−	3.45576i	−0.318798	−	0.116033i	−0.496463	+	0.868058i	$0.665368\pi$
$888$	10.2983	+	11.0208i	0.345589	+	0.369833i
$889$	31.1235	+	4.03727i	1.04385	+	0.135406i
$890$		−	14.9312i		−	0.500495i
$891$	6.16975	+	28.4486i	0.206694	+	0.953064i
$892$	−21.7601	−	12.5632i	−0.728582	−	0.420647i
$893$	0.711706	+	0.125493i	0.0238163	+	0.00419946i
$894$	−14.1500	−	4.31014i	−0.473247	−	0.144153i
$895$	15.7385	+	18.7565i	0.526081	+	0.626959i
$896$	−0.577558	−	2.58194i	−0.0192949	−	0.0862566i
$897$	−15.4734	+	30.4459i	−0.516642	+	1.01656i
$898$	−4.40416	+	24.9772i	−0.146969	+	0.833500i
$899$	24.1753	+	41.8729i	0.806292	+	1.39654i
$900$	−8.76354	+	4.29667i	−0.292118	+	0.143222i
$901$	24.5300	+	14.1624i	0.817212	+	0.471817i
$902$	−4.09302	+	23.2127i	−0.136283	+	0.772897i
$903$	8.28433	+	17.2381i	0.275685	+	0.573649i
$904$	14.3515	+	5.22353i	0.477325	+	0.173732i
$905$	18.0163	−	3.17675i	0.598881	−	0.105599i
$906$	10.5670	+	24.8231i	0.351065	+	0.824691i
$907$	−5.10166	−	4.28080i	−0.169398	−	0.142142i	0.554148	−	0.832418i	$-0.313044\pi$
$907$	−5.10166	−	4.28080i	−0.169398	−	0.142142i	−0.723545	+	0.690277i	$0.757489\pi$
$908$	1.57347	−	2.72533i	0.0522174	−	0.0904432i
$909$	12.8044	−	13.3142i	0.424694	−	0.441603i
$910$	0.393878	+	8.64390i	0.0130569	+	0.286542i
$911$	15.7740	−	18.7988i	0.522617	−	0.622831i	−0.438580	−	0.898692i	$-0.644518\pi$
$911$	15.7740	−	18.7988i	0.522617	−	0.622831i	0.961198	+	0.275861i	$0.0889629\pi$
$912$	−5.08155	+	3.30745i	−0.168267	+	0.109521i
$913$	1.79274	−	4.92550i	0.0593309	−	0.163010i
$914$	27.4567	−	4.84135i	0.908186	−	0.160138i
$915$	−10.6548	−	11.4023i	−0.352238	−	0.376948i
$916$	8.04046	+	22.0910i	0.265664	+	0.729907i
$917$	−1.19667	−	26.2617i	−0.0395176	−	0.867239i
$918$	28.2685	+	0.405914i	0.933000	+	0.0133972i
$919$	−3.60558	−	6.24505i	−0.118937	−	0.206005i	0.800410	−	0.599453i	$-0.204615\pi$
$919$	−3.60558	−	6.24505i	−0.118937	−	0.206005i	−0.919347	+	0.393448i	$0.871282\pi$
$920$	−1.82858	+	10.3704i	−0.0602866	+	0.341902i
$921$	14.7643	+	15.8001i	0.486500	+	0.520630i
$922$	−3.30352	+	9.07636i	−0.108796	+	0.298914i
$923$	−6.58566	−	37.3491i	−0.216770	−	1.22936i
$924$	−14.7496	+	1.46391i	−0.485226	+	0.0481592i
$925$	21.7036	+	18.2115i	0.713611	+	0.598791i
$926$			12.2949i			0.404036i
$927$	7.00594	+	3.10194i	0.230105	+	0.101881i
$928$	5.11595			0.167939
$929$	−15.9644	+	5.81055i	−0.523773	+	0.190638i	−0.590356	−	0.807143i	$-0.701013\pi$
$929$	−15.9644	+	5.81055i	−0.523773	+	0.190638i	0.0665825	+	0.997781i	$0.478790\pi$
$930$	19.9054	−	8.47357i	0.652723	−	0.277859i
$931$	−17.3926	−	17.2607i	−0.570019	−	0.565698i
$932$	−2.40204	+	6.59954i	−0.0786813	+	0.216175i
$933$	−1.95804	−	1.47232i	−0.0641032	−	0.0482016i
$934$	−13.8054	+	16.4527i	−0.451727	+	0.538348i
$935$			23.2575i			0.760601i
$936$	3.00559	−	6.78832i	0.0982407	−	0.221883i
$937$	−22.4977	−	12.9891i	−0.734969	−	0.424335i	0.0852681	−	0.996358i	$-0.472825\pi$
$937$	−22.4977	−	12.9891i	−0.734969	−	0.424335i	−0.820237	+	0.572023i	$0.806159\pi$
$938$	15.1841	−	6.32333i	0.495779	−	0.206464i
$939$	−29.2444	+	19.0345i	−0.954355	+	0.621166i
$940$	−0.209009	+	0.175380i	−0.00681714	+	0.00572026i
$941$	4.74103	+	26.8877i	0.154553	+	0.876514i	0.959193	+	0.282751i	$0.0912471\pi$
$941$	4.74103	+	26.8877i	0.154553	+	0.876514i	−0.804640	+	0.593763i	$0.797642\pi$
$942$	27.7860	−	25.9645i	0.905317	−	0.845970i
$943$	37.3240	−	44.4811i	1.21544	−	1.44850i
$944$	−8.29459			−0.269966
$945$	−3.71123	−	17.7858i	−0.120726	−	0.578573i
$946$	13.4990			0.438890
$947$	10.6340	−	12.6731i	0.345559	−	0.411822i	−0.565072	−	0.825042i	$-0.691152\pi$
$947$	10.6340	−	12.6731i	0.345559	−	0.411822i	0.910631	+	0.413220i	$0.135596\pi$
$948$	4.48390	+	1.36581i	0.145630	+	0.0443594i
$949$	−3.41337	−	19.3582i	−0.110803	−	0.628394i
$950$	−8.72419	+	7.32047i	−0.283050	+	0.237507i
$951$	−0.378102	−	7.07495i	−0.0122608	−	0.229421i
$952$	−1.85178	+	14.2755i	−0.0600167	+	0.462672i
$953$	−35.3474	−	20.4078i	−1.14501	−	0.661074i	−0.197347	−	0.980334i	$-0.563233\pi$
$953$	−35.3474	−	20.4078i	−1.14501	−	0.661074i	−0.947667	+	0.319259i	$0.896566\pi$
$954$	−10.8259	+	11.2569i	−0.350501	+	0.364456i
$955$			17.2274i			0.557467i
$956$	−9.01936	+	10.7489i	−0.291707	+	0.347643i
$957$	3.46350	−	28.4506i	0.111959	−	0.919677i
$958$	6.44923	−	17.7191i	0.208365	−	0.572478i
$959$	3.23344	+	14.4549i	0.104413	+	0.466774i
$960$	0.276623	−	2.27229i	0.00892797	−	0.0733379i
$961$	54.8034	−	19.9468i	1.76785	−	0.643446i
$962$	−21.5504			−0.694813
$963$	1.72636	−	2.57086i	0.0556312	−	0.0828448i
$964$			6.41245i			0.206531i
$965$	−17.3661	−	14.5719i	−0.559036	−	0.469087i
$966$	33.2703	+	15.0444i	1.07046	+	0.484047i
$967$	−7.62796	−	43.2603i	−0.245299	−	1.39116i	−0.819798	−	0.572653i	$-0.805914\pi$
$967$	−7.62796	−	43.2603i	−0.245299	−	1.39116i	0.574499	−	0.818505i	$-0.305197\pi$
$968$	0.184148	−	0.505941i	0.00591873	−	0.0162616i
$969$	32.1353	−	7.45394i	1.03233	−	0.239455i
$970$	−1.11681	+	6.33375i	−0.0358587	+	0.203365i
$971$	−12.2863	−	21.2806i	−0.394288	−	0.682926i	0.598722	−	0.800957i	$-0.295675\pi$
$971$	−12.2863	−	21.2806i	−0.394288	−	0.682926i	−0.993010	+	0.118030i	$0.962342\pi$
$972$	−3.95686	+	15.0779i	−0.126916	+	0.483624i
$973$	1.42494	−	2.75004i	0.0456813	−	0.0881621i
$974$	−2.02140	−	5.55376i	−0.0647699	−	0.177954i
$975$	4.06328	−	13.3396i	0.130129	−	0.427209i
$976$	−6.71391	+	1.18384i	−0.214907	+	0.0378939i
$977$	11.7828	−	32.3731i	0.376966	−	1.03571i	−0.595641	−	0.803251i	$-0.703102\pi$
$977$	11.7828	−	32.3731i	0.376966	−	1.03571i	0.972607	−	0.232455i	$-0.0746758\pi$
$978$	−0.187928	−	3.51647i	−0.00600929	−	0.112444i
$979$	−23.4889	+	27.9930i	−0.750710	+	0.894661i
$980$	9.21282	−	0.841351i	0.294293	−	0.0268760i
$981$	3.60020	−	53.0583i	0.114946	−	1.69402i
$982$	0.669625	−	1.15982i	0.0213686	−	0.0370115i
$983$	−47.3555	−	39.7360i	−1.51041	−	1.26738i	−0.862961	−	0.505271i	$-0.831393\pi$
$983$	−47.3555	−	39.7360i	−1.51041	−	1.26738i	−0.647446	−	0.762111i	$-0.724163\pi$
$984$	−7.58583	+	10.0884i	−0.241827	+	0.321606i
$985$	−24.2199	+	4.27063i	−0.771711	+	0.136073i
$986$	−26.1564	−	9.52015i	−0.832990	−	0.303183i
$987$	0.409798	+	0.852711i	0.0130440	+	0.0271421i
$988$	1.50424	−	8.53099i	0.0478564	−	0.271407i
$989$	−28.7991	−	16.6272i	−0.915758	−	0.528713i
$990$	−12.4493	−	3.07669i	−0.395664	−	0.0977835i
$991$	−9.94642	−	17.2277i	−0.315959	−	0.547256i	0.663682	−	0.748015i	$-0.268993\pi$
$991$	−9.94642	−	17.2277i	−0.315959	−	0.547256i	−0.979641	+	0.200758i	$0.935659\pi$
$992$	1.64114	−	9.30738i	0.0521063	−	0.295510i
$993$	−32.1980	+	1.72074i	−1.02177	+	0.0546060i
$994$	−39.5697	+	8.85140i	−1.25507	+	0.280750i
$995$	−3.49262	−	4.16234i	−0.110724	−	0.131955i
$996$	2.05086	−	1.91642i	0.0649839	−	0.0607240i
$997$	4.06184	+	0.716213i	0.128640	+	0.0226827i	0.237597	−	0.971364i	$-0.423640\pi$
$997$	4.06184	+	0.716213i	0.128640	+	0.0226827i	−0.108957	+	0.994046i	$0.534751\pi$
$998$	−30.2494	−	17.4645i	−0.957529	−	0.552830i
$999$	44.6714	−	7.21704i	1.41334	−	0.228337i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	378.2.bf.a.101.17	yes	144
7.5	odd	6		378.2.ba.a.47.2	✓	144
27.23	odd	18		378.2.ba.a.185.2	yes	144
189.131	even	18	inner	378.2.bf.a.131.17	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
378.2.ba.a.47.2	✓	144	7.5	odd	6
378.2.ba.a.185.2	yes	144	27.23	odd	18
378.2.bf.a.101.17	yes	144	1.1	even	1	trivial
378.2.bf.a.131.17	yes	144	189.131	even	18	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	378.bf (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.642788 - 0.766044i) q^{2} +(-0.391368 - 1.68726i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(1.01240 - 0.849504i) q^{5} +(-1.54408 - 0.784742i) q^{6} +(-1.01713 - 2.44242i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(-2.69366 + 1.32067i) q^{9} +O(q^{10})\)	\(q+(0.642788 - 0.766044i) q^{2} +(-0.391368 - 1.68726i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(1.01240 - 0.849504i) q^{5} +(-1.54408 - 0.784742i) q^{6} +(-1.01713 - 2.44242i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(-2.69366 + 1.32067i) q^{9} -1.32159i q^{10} +(-2.07906 + 2.47772i) q^{11} +(-1.59366 + 0.678411i) q^{12} +(0.846378 - 2.32541i) q^{13} +(-2.52481 - 0.790791i) q^{14} +(-1.82955 - 1.37571i) q^{15} +(-0.939693 + 0.342020i) q^{16} +5.44084 q^{17} +(-0.719758 + 2.91238i) q^{18} +3.50054i q^{19} +(-1.01240 - 0.849504i) q^{20} +(-3.72292 + 2.67205i) q^{21} +(0.561654 + 3.18530i) q^{22} +(2.72520 - 7.48742i) q^{23} +(-0.504694 + 1.65689i) q^{24} +(-0.564945 + 3.20396i) q^{25} +(-1.23732 - 2.14311i) q^{26} +(3.28253 + 4.02803i) q^{27} +(-2.22870 + 1.42580i) q^{28} +(-1.74976 - 4.80742i) q^{29} +(-2.22987 + 0.517229i) q^{30} +(-9.30738 + 1.64114i) q^{31} +(-0.342020 + 0.939693i) q^{32} +(4.99423 + 2.53820i) q^{33} +(3.49730 - 4.16793i) q^{34} +(-3.10460 - 1.60865i) q^{35} +(1.76836 + 2.42341i) q^{36} +(4.35424 - 7.54176i) q^{37} +(2.68157 + 2.25010i) q^{38} +(-4.25480 - 0.517968i) q^{39} +(-1.30152 + 0.229492i) q^{40} +(6.84795 + 2.49245i) q^{41} +(-0.346139 + 4.56948i) q^{42} +(0.724723 - 4.11011i) q^{43} +(2.80111 + 1.61722i) q^{44} +(-1.60514 + 3.62533i) q^{45} +(-3.98397 - 6.90044i) q^{46} +(0.0358496 - 0.203313i) q^{47} +(0.944841 + 1.45165i) q^{48} +(-4.93088 + 4.96854i) q^{49} +(2.09124 + 2.49224i) q^{50} +(-2.12937 - 9.18009i) q^{51} +(-2.43705 - 0.429718i) q^{52} +(4.50849 + 2.60298i) q^{53} +(5.19562 + 0.0746051i) q^{54} +4.27461i q^{55} +(-0.340349 + 2.62377i) q^{56} +(5.90631 - 1.37000i) q^{57} +(-4.80742 - 1.74976i) q^{58} +(7.79437 + 2.83692i) q^{59} +(-1.03711 + 2.04065i) q^{60} +(6.71391 + 1.18384i) q^{61} +(-4.72548 + 8.18477i) q^{62} +(5.96546 + 5.23577i) q^{63} +(0.500000 + 0.866025i) q^{64} +(-1.11857 - 3.07324i) q^{65} +(5.15460 - 2.19428i) q^{66} +(-4.76236 + 3.99609i) q^{67} +(-0.944792 - 5.35818i) q^{68} +(-13.6997 - 1.66777i) q^{69} +(-3.22789 + 1.34424i) q^{70} +(13.2723 - 7.66278i) q^{71} +(2.99312 + 0.203094i) q^{72} +(6.87909 - 3.97165i) q^{73} +(-2.97848 - 8.18329i) q^{74} +(5.62701 - 0.300720i) q^{75} +(3.44736 - 0.607863i) q^{76} +(8.16633 + 2.55776i) q^{77} +(-3.13172 + 2.92642i) q^{78} +(-2.07308 - 1.73952i) q^{79} +(-0.660797 + 1.14453i) q^{80} +(5.51164 - 7.11490i) q^{81} +(6.31111 - 3.64372i) q^{82} +(-1.52283 + 0.554265i) q^{83} +(3.27793 + 3.20237i) q^{84} +(5.50830 - 4.62202i) q^{85} +(-2.68268 - 3.19710i) q^{86} +(-7.42655 + 4.83376i) q^{87} +(3.03938 - 1.10624i) q^{88} +11.2979 q^{89} +(1.74539 + 3.55993i) q^{90} +(-6.54051 + 0.298032i) q^{91} +(-7.84689 - 1.38362i) q^{92} +(6.41163 + 15.0616i) q^{93} +(-0.132703 - 0.158150i) q^{94} +(2.97372 + 3.54395i) q^{95} +(1.71936 + 0.209310i) q^{96} +(-4.79251 - 0.845049i) q^{97} +(0.636618 + 6.97099i) q^{98} +(2.32801 - 9.41991i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 144 q + 18 q^{6} - 12 q^{9}+O(q^{10}) \) 144 * q + 18 * q^6 - 12 * q^9	\( 144 q + 18 q^{6} - 12 q^{9} + 12 q^{11} + 6 q^{14} + 12 q^{15} + 6 q^{21} - 6 q^{23} - 6 q^{29} - 18 q^{30} - 54 q^{35} + 6 q^{36} - 6 q^{39} + 24 q^{42} - 54 q^{47} + 18 q^{49} + 12 q^{50} + 18 q^{51} + 90 q^{53} - 54 q^{54} - 12 q^{56} - 6 q^{57} - 90 q^{59} - 36 q^{60} - 24 q^{63} + 72 q^{64} - 84 q^{65} - 36 q^{69} - 18 q^{70} - 72 q^{71} + 12 q^{72} + 18 q^{74} - 90 q^{75} - 78 q^{77} - 60 q^{78} + 36 q^{79} - 6 q^{84} - 72 q^{85} + 24 q^{86} + 90 q^{87} - 18 q^{91} - 42 q^{92} - 12 q^{93} + 78 q^{95} - 36 q^{98} - 108 q^{99}+O(q^{100}) \) 144 * q + 18 * q^6 - 12 * q^9 + 12 * q^11 + 6 * q^14 + 12 * q^15 + 6 * q^21 - 6 * q^23 - 6 * q^29 - 18 * q^30 - 54 * q^35 + 6 * q^36 - 6 * q^39 + 24 * q^42 - 54 * q^47 + 18 * q^49 + 12 * q^50 + 18 * q^51 + 90 * q^53 - 54 * q^54 - 12 * q^56 - 6 * q^57 - 90 * q^59 - 36 * q^60 - 24 * q^63 + 72 * q^64 - 84 * q^65 - 36 * q^69 - 18 * q^70 - 72 * q^71 + 12 * q^72 + 18 * q^74 - 90 * q^75 - 78 * q^77 - 60 * q^78 + 36 * q^79 - 6 * q^84 - 72 * q^85 + 24 * q^86 + 90 * q^87 - 18 * q^91 - 42 * q^92 - 12 * q^93 + 78 * q^95 - 36 * q^98 - 108 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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