LMFDB - Embedded newform 378.2.bf.a.5.20

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			5.20
Character	$\chi$	$=$	378.5
Dual form			378.2.bf.a.227.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.984808 - 0.173648i) q^{2} +(0.963600 - 1.43926i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-0.689038 + 3.90773i) q^{5} +(0.699036 - 1.58472i) q^{6} +(0.360258 + 2.62111i) q^{7} +(0.866025 - 0.500000i) q^{8} +(-1.14295 - 2.77375i) q^{9} +O(q^{10})$	\(q+(0.984808 - 0.173648i) q^{2} +(0.963600 - 1.43926i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-0.689038 + 3.90773i) q^{5} +(0.699036 - 1.58472i) q^{6} +(0.360258 + 2.62111i) q^{7} +(0.866025 - 0.500000i) q^{8} +(-1.14295 - 2.77375i) q^{9} +3.96801i q^{10} +(5.67462 - 1.00059i) q^{11} +(0.413232 - 1.68203i) q^{12} +(-0.194790 + 0.232141i) q^{13} +(0.809935 + 2.51873i) q^{14} +(4.96029 + 4.75719i) q^{15} +(0.766044 - 0.642788i) q^{16} -4.55414 q^{17} +(-1.60724 - 2.53314i) q^{18} -6.01135i q^{19} +(0.689038 + 3.90773i) q^{20} +(4.11961 + 2.00720i) q^{21} +(5.41466 - 1.97078i) q^{22} +(-1.14527 + 1.36488i) q^{23} +(0.114872 - 1.72824i) q^{24} +(-10.0971 - 3.67504i) q^{25} +(-0.151520 + 0.262440i) q^{26} +(-5.09349 - 1.02778i) q^{27} +(1.23500 + 2.33982i) q^{28} +(2.08497 + 2.48477i) q^{29} +(5.71101 + 3.82358i) q^{30} +(-0.173186 - 0.475824i) q^{31} +(0.642788 - 0.766044i) q^{32} +(4.02796 - 9.13143i) q^{33} +(-4.48495 + 0.790818i) q^{34} +(-10.4908 - 0.398255i) q^{35} +(-2.02270 - 2.21556i) q^{36} +(-5.85404 - 10.1395i) q^{37} +(-1.04386 - 5.92003i) q^{38} +(0.146413 + 0.504045i) q^{39} +(1.35714 + 3.72871i) q^{40} +(4.18716 + 3.51345i) q^{41} +(4.40557 + 1.26134i) q^{42} +(-0.0168391 - 0.00612892i) q^{43} +(4.99018 - 2.88108i) q^{44} +(11.6266 - 2.55511i) q^{45} +(-0.890863 + 1.54302i) q^{46} +(-4.22388 - 1.53737i) q^{47} +(-0.186979 - 1.72193i) q^{48} +(-6.74043 + 1.88855i) q^{49} +(-10.5819 - 1.86587i) q^{50} +(-4.38837 + 6.55460i) q^{51} +(-0.103645 + 0.284764i) q^{52} +(9.52381 - 5.49857i) q^{53} +(-5.19458 - 0.127692i) q^{54} +22.8643i q^{55} +(1.62255 + 2.08982i) q^{56} +(-8.65191 - 5.79254i) q^{57} +(2.48477 + 2.08497i) q^{58} +(2.72514 + 2.28666i) q^{59} +(6.28820 + 2.77378i) q^{60} +(-3.19188 + 8.76961i) q^{61} +(-0.253181 - 0.438522i) q^{62} +(6.85854 - 3.99506i) q^{63} +(0.500000 - 0.866025i) q^{64} +(-0.772928 - 0.921140i) q^{65} +(2.38111 - 9.69215i) q^{66} +(-0.608005 + 3.44817i) q^{67} +(-4.27949 + 1.55761i) q^{68} +(0.860837 + 2.96355i) q^{69} +(-10.4006 + 1.42951i) q^{70} +(2.02986 + 1.17194i) q^{71} +(-2.37670 - 1.83066i) q^{72} +(-4.68349 - 2.70401i) q^{73} +(-7.52581 - 8.96891i) q^{74} +(-15.0189 + 10.9911i) q^{75} +(-2.05600 - 5.64883i) q^{76} +(4.66698 + 14.5133i) q^{77} +(0.231715 + 0.470963i) q^{78} +(0.0840446 + 0.476640i) q^{79} +(1.98401 + 3.43640i) q^{80} +(-6.38734 + 6.34050i) q^{81} +(4.73365 + 2.73298i) q^{82} +(-2.77764 + 2.33071i) q^{83} +(4.55767 + 0.477160i) q^{84} +(3.13798 - 17.7963i) q^{85} +(-0.0176475 - 0.00311173i) q^{86} +(5.58532 - 0.606492i) q^{87} +(4.41407 - 3.70385i) q^{88} +10.8312 q^{89} +(11.0063 - 4.53523i) q^{90} +(-0.678643 - 0.426935i) q^{91} +(-0.609386 + 1.67428i) q^{92} +(-0.851718 - 0.209245i) q^{93} +(-4.42668 - 0.780542i) q^{94} +(23.4907 + 4.14205i) q^{95} +(-0.483148 - 1.66330i) q^{96} +(3.12381 - 8.58259i) q^{97} +(-6.31008 + 3.03032i) q^{98} +(-9.26118 - 14.5963i) 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 $\left(\mathbb{Z}/378\mathbb{Z}\right)^\times$.

$n$	$29$	$325$
$\chi(n)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	0.984808	−	0.173648i	0.696364	−	0.122788i
$2$	0.984808	−	0.173648i	0.696364	−	0.122788i
$3$	0.963600	−	1.43926i	0.556335	−	0.830958i
$3$	0.963600	−	1.43926i	0.556335	−	0.830958i
$4$	0.939693	−	0.342020i	0.469846	−	0.171010i
$5$	−0.689038	+	3.90773i	−0.308147	+	1.74759i	0.300161	+	0.953888i	$0.402959\pi$
$5$	−0.689038	+	3.90773i	−0.308147	+	1.74759i	−0.608308	+	0.793701i	$0.708152\pi$
$6$	0.699036	−	1.58472i	0.285380	−	0.646961i
$7$	0.360258	+	2.62111i	0.136165	+	0.990686i
$7$	0.360258	+	2.62111i	0.136165	+	0.990686i
$8$	0.866025	−	0.500000i	0.306186	−	0.176777i
$9$	−1.14295	−	2.77375i	−0.380983	−	0.924582i
$10$			3.96801i			1.25480i
$11$	5.67462	−	1.00059i	1.71096	−	0.301689i	0.769460	−	0.638695i	$-0.220525\pi$
$11$	5.67462	−	1.00059i	1.71096	−	0.301689i	0.941503	+	0.337006i	$0.109414\pi$
$12$	0.413232	−	1.68203i	0.119290	−	0.485561i
$13$	−0.194790	+	0.232141i	−0.0540250	+	0.0643844i	−0.792380	−	0.610028i	$-0.791158\pi$
$13$	−0.194790	+	0.232141i	−0.0540250	+	0.0643844i	0.738355	+	0.674412i	$0.235603\pi$
$14$	0.809935	+	2.51873i	0.216464	+	0.673159i
$15$	4.96029	+	4.75719i	1.28074	+	1.22830i
$16$	0.766044	−	0.642788i	0.191511	−	0.160697i
$17$	−4.55414			−1.10454			−0.552271	−	0.833665i	$-0.686239\pi$
$17$	−4.55414			−1.10454			−0.552271	+	0.833665i	$0.686239\pi$
$18$	−1.60724	−	2.53314i	−0.378830	−	0.597066i
$19$		−	6.01135i		−	1.37910i	−0.724238	−	0.689550i	$-0.757808\pi$
$19$		−	6.01135i		−	1.37910i	0.724238	−	0.689550i	$-0.242192\pi$
$20$	0.689038	+	3.90773i	0.154074	+	0.873795i
$21$	4.11961	+	2.00720i	0.898972	+	0.438006i
$22$	5.41466	−	1.97078i	1.15441	−	0.420171i
$23$	−1.14527	+	1.36488i	−0.238806	+	0.284597i	−0.872115	−	0.489302i	$-0.837252\pi$
$23$	−1.14527	+	1.36488i	−0.238806	+	0.284597i	0.633309	+	0.773899i	$0.281696\pi$
$24$	0.114872	−	1.72824i	0.0234481	−	0.352775i
$25$	−10.0971	−	3.67504i	−2.01942	−	0.735009i
$26$	−0.151520	+	0.262440i	−0.0297154	+	0.0514686i
$27$	−5.09349	−	1.02778i	−0.980243	−	0.197797i
$28$	1.23500	+	2.33982i	0.233394	+	0.442185i
$29$	2.08497	+	2.48477i	0.387170	+	0.461411i	0.924064	−	0.382239i	$-0.124847\pi$
$29$	2.08497	+	2.48477i	0.387170	+	0.461411i	−0.536894	+	0.843650i	$0.680402\pi$
$30$	5.71101	+	3.82358i	1.04268	+	0.698087i
$31$	−0.173186	−	0.475824i	−0.0311051	−	0.0854606i	0.923168	−	0.384397i	$-0.125590\pi$
$31$	−0.173186	−	0.475824i	−0.0311051	−	0.0854606i	−0.954273	+	0.298936i	$0.903368\pi$
$32$	0.642788	−	0.766044i	0.113630	−	0.135419i
$33$	4.02796	−	9.13143i	0.701178	−	1.58958i
$34$	−4.48495	+	0.790818i	−0.769163	+	0.135624i
$35$	−10.4908	−	0.398255i	−1.77327	−	0.0673174i
$36$	−2.02270	−	2.21556i	−0.337116	−	0.369260i
$37$	−5.85404	−	10.1395i	−0.962399	−	1.66692i	−0.716448	−	0.697641i	$-0.754233\pi$
$37$	−5.85404	−	10.1395i	−0.962399	−	1.66692i	−0.245951	−	0.969282i	$-0.579100\pi$
$38$	−1.04386	−	5.92003i	−0.169337	−	0.960355i
$39$	0.146413	+	0.504045i	0.0234448	+	0.0807118i
$40$	1.35714	+	3.72871i	0.214583	+	0.589561i
$41$	4.18716	+	3.51345i	0.653925	+	0.548708i	0.908259	−	0.418408i	$-0.137412\pi$
$41$	4.18716	+	3.51345i	0.653925	+	0.548708i	−0.254334	+	0.967116i	$0.581856\pi$
$42$	4.40557	+	1.26134i	0.679794	+	0.194629i
$43$	−0.0168391	−	0.00612892i	−0.00256793	−	0.000934651i	0.340736	−	0.940159i	$-0.389324\pi$
$43$	−0.0168391	−	0.00612892i	−0.00256793	−	0.000934651i	−0.343304	+	0.939224i	$0.611546\pi$
$44$	4.99018	−	2.88108i	0.752298	−	0.434339i
$45$	11.6266	−	2.55511i	1.73319	−	0.380894i
$46$	−0.890863	+	1.54302i	−0.131351	+	0.227506i
$47$	−4.22388	−	1.53737i	−0.616117	−	0.224248i	0.0150607	−	0.999887i	$-0.495206\pi$
$47$	−4.22388	−	1.53737i	−0.616117	−	0.224248i	−0.631178	+	0.775638i	$0.717428\pi$
$48$	−0.186979	−	1.72193i	−0.0269881	−	0.248539i
$49$	−6.74043	+	1.88855i	−0.962918	+	0.269793i
$50$	−10.5819	−	1.86587i	−1.49650	−	0.263874i
$51$	−4.38837	+	6.55460i	−0.614495	+	0.917828i
$52$	−0.103645	+	0.284764i	−0.0143730	+	0.0394896i
$53$	9.52381	−	5.49857i	1.30820	−	0.755287i	0.326401	−	0.945232i	$-0.394164\pi$
$53$	9.52381	−	5.49857i	1.30820	−	0.755287i	0.981795	+	0.189944i	$0.0608308\pi$
$54$	−5.19458	−	0.127692i	−0.706893	−	0.0173767i
$55$			22.8643i			3.08302i
$56$	1.62255	+	2.08982i	0.216822	+	0.279264i
$57$	−8.65191	−	5.79254i	−1.14597	−	0.767241i
$58$	2.48477	+	2.08497i	0.326267	+	0.273770i
$59$	2.72514	+	2.28666i	0.354783	+	0.297698i	0.802707	−	0.596373i	$-0.203392\pi$
$59$	2.72514	+	2.28666i	0.354783	+	0.297698i	−0.447924	+	0.894071i	$0.647837\pi$
$60$	6.28820	+	2.77378i	0.811803	+	0.358094i
$61$	−3.19188	+	8.76961i	−0.408678	+	1.12283i	0.549208	+	0.835685i	$0.314929\pi$
$61$	−3.19188	+	8.76961i	−0.408678	+	1.12283i	−0.957886	+	0.287148i	$0.907293\pi$
$62$	−0.253181	−	0.438522i	−0.0321540	−	0.0556924i
$63$	6.85854	−	3.99506i	0.864094	−	0.503330i
$64$	0.500000	−	0.866025i	0.0625000	−	0.108253i
$65$	−0.772928	−	0.921140i	−0.0958699	−	0.114253i
$66$	2.38111	−	9.69215i	0.293094	−	1.19302i
$67$	−0.608005	+	3.44817i	−0.0742796	+	0.421261i	0.924880	+	0.380260i	$0.124166\pi$
$67$	−0.608005	+	3.44817i	−0.0742796	+	0.421261i	−0.999159	+	0.0410003i	$0.986946\pi$
$68$	−4.27949	+	1.55761i	−0.518965	+	0.188888i
$69$	0.860837	+	2.96355i	0.103633	+	0.356769i
$70$	−10.4006	+	1.42951i	−1.24311	+	0.170859i
$71$	2.02986	+	1.17194i	0.240900	+	0.139083i	0.615590	−	0.788066i	$-0.288918\pi$
$71$	2.02986	+	1.17194i	0.240900	+	0.139083i	−0.374690	+	0.927150i	$0.622251\pi$
$72$	−2.37670	−	1.83066i	−0.280096	−	0.215745i
$73$	−4.68349	−	2.70401i	−0.548161	−	0.316481i	0.200219	−	0.979751i	$-0.435835\pi$
$73$	−4.68349	−	2.70401i	−0.548161	−	0.316481i	−0.748380	+	0.663270i	$0.769168\pi$
$74$	−7.52581	−	8.96891i	−0.874858	−	1.04261i
$75$	−15.0189	+	10.9911i	−1.73424	+	1.26914i
$76$	−2.05600	−	5.64883i	−0.235840	−	0.647965i
$77$	4.66698	+	14.5133i	0.531852	+	1.65395i
$78$	0.231715	+	0.470963i	0.0262365	+	0.0533261i
$79$	0.0840446	+	0.476640i	0.00945575	+	0.0536262i	0.989171	−	0.146771i	$-0.0468879\pi$
$79$	0.0840446	+	0.476640i	0.00945575	+	0.0536262i	−0.979715	+	0.200397i	$0.935777\pi$
$80$	1.98401	+	3.43640i	0.221819	+	0.384201i
$81$	−6.38734	+	6.34050i	−0.709704	+	0.704500i
$82$	4.73365	+	2.73298i	0.522745	+	0.301807i
$83$	−2.77764	+	2.33071i	−0.304885	+	0.255829i	−0.782374	−	0.622809i	$-0.785992\pi$
$83$	−2.77764	+	2.33071i	−0.304885	+	0.255829i	0.477489	+	0.878638i	$0.341547\pi$
$84$	4.55767	+	0.477160i	0.497282	+	0.0520624i
$85$	3.13798	−	17.7963i	0.340361	−	1.93028i
$86$	−0.0176475	−	0.00311173i	−0.00190298	−	0.000335547i
$87$	5.58532	−	0.606492i	0.598809	−	0.0650228i
$88$	4.41407	−	3.70385i	0.470542	−	0.394831i
$89$	10.8312			1.14810			0.574052	−	0.818819i	$-0.305371\pi$
$89$	10.8312			1.14810			0.574052	+	0.818819i	$0.305371\pi$
$90$	11.0063	−	4.53523i	1.16016	−	0.478055i
$91$	−0.678643	−	0.426935i	−0.0711411	−	0.0447549i
$92$	−0.609386	+	1.67428i	−0.0635329	+	0.174555i
$93$	−0.851718	−	0.209245i	−0.0883190	−	0.0216977i
$94$	−4.42668	−	0.780542i	−0.456577	−	0.0805068i
$95$	23.4907	+	4.14205i	2.41010	+	0.424965i
$96$	−0.483148	−	1.66330i	−0.0493111	−	0.169760i
$97$	3.12381	−	8.58259i	0.317175	−	0.871430i	−0.673984	−	0.738746i	$-0.735418\pi$
$97$	3.12381	−	8.58259i	0.317175	−	0.871430i	0.991158	−	0.132684i	$-0.0423595\pi$
$98$	−6.31008	+	3.03032i	−0.637415	+	0.306109i
$99$	−9.26118	−	14.5963i	−0.930783	−	1.46699i
$100$	−10.7451			−1.07451
$101$	−4.44328	+	3.72836i	−0.442123	+	0.370985i	−0.836503	−	0.547962i	$-0.815404\pi$
$101$	−4.44328	+	3.72836i	−0.442123	+	0.370985i	0.394380	+	0.918947i	$0.370959\pi$
$102$	−3.18351	+	7.21705i	−0.315214	+	0.714595i
$103$	−8.10155	−	1.42852i	−0.798270	−	0.140756i	−0.240388	−	0.970677i	$-0.577275\pi$
$103$	−8.10155	−	1.42852i	−0.798270	−	0.140756i	−0.557882	+	0.829920i	$0.688386\pi$
$104$	−0.0526222	+	0.298435i	−0.00516003	+	0.0292640i
$105$	−10.6821	+	14.7153i	−1.04247	+	1.43606i
$106$	8.42430	−	7.06883i	0.818241	−	0.686585i
$107$	−8.48607	−	4.89943i	−0.820379	−	0.473646i	0.0301681	−	0.999545i	$-0.490396\pi$
$107$	−8.48607	−	4.89943i	−0.820379	−	0.473646i	−0.850547	+	0.525899i	$0.823729\pi$
$108$	−5.13784	+	0.776278i	−0.494389	+	0.0746974i
$109$	−5.84302	−	10.1204i	−0.559660	−	0.969359i	−0.997525	−	0.0703183i	$-0.977598\pi$
$109$	−5.84302	−	10.1204i	−0.559660	−	0.969359i	0.437865	−	0.899041i	$-0.355735\pi$
$110$	3.97035	+	22.5170i	0.378558	+	2.14691i
$111$	−20.2343	−	1.34493i	−1.92056	−	0.127655i
$112$	1.96079	+	1.77632i	0.185277	+	0.167846i
$113$	−2.65224	−	7.28697i	−0.249502	−	0.685500i	−0.999705	−	0.0242929i	$-0.992267\pi$
$113$	−2.65224	−	7.28697i	−0.249502	−	0.685500i	0.750203	−	0.661207i	$-0.229956\pi$
$114$	−9.52634	−	4.20215i	−0.892223	−	0.393568i
$115$	−4.54445	−	5.41587i	−0.423772	−	0.505032i
$116$	2.80908	+	1.62182i	0.260816	+	0.150582i
$117$	0.866536	+	0.274972i	0.0801113	+	0.0254212i
$118$	3.08081	+	1.77871i	0.283612	+	0.163743i
$119$	−1.64066	−	11.9369i	−0.150399	−	1.09425i
$120$	6.67433	+	1.63971i	0.609280	+	0.149684i
$121$	20.8635	−	7.59370i	1.89668	−	0.690337i
$122$	−1.62056	+	9.19064i	−0.146718	+	0.832082i
$123$	9.09152	−	2.64086i	0.819755	−	0.238119i
$124$	−0.325483	−	0.387896i	−0.0292292	−	0.0348341i
$125$	11.3983	−	19.7425i	1.01950	−	1.76582i
$126$	6.06061	−	5.12533i	0.539922	−	0.456601i
$127$	−1.29313	−	2.23976i	−0.114746	−	0.198747i	0.802932	−	0.596071i	$-0.203272\pi$
$127$	−1.29313	−	2.23976i	−0.114746	−	0.198747i	−0.917678	+	0.397324i	$0.869939\pi$
$128$	0.342020	−	0.939693i	0.0302306	−	0.0830579i
$129$	−0.0250472	+	0.0183300i	−0.00220529	+	0.00161387i
$130$	−0.921140	−	0.772928i	−0.0807893	−	0.0677903i
$131$	−4.68482	−	3.93103i	−0.409314	−	0.343456i	0.414766	−	0.909928i	$-0.363863\pi$
$131$	−4.68482	−	3.93103i	−0.409314	−	0.343456i	−0.824081	+	0.566472i	$0.808308\pi$
$132$	0.661909	−	9.95838i	0.0576118	−	0.866766i
$133$	15.7564	−	2.16564i	1.36625	−	0.187784i
$134$			3.50136i			0.302471i
$135$	7.52590	−	19.1958i	0.647726	−	1.65211i
$136$	−3.94400	+	2.27707i	−0.338195	+	0.195257i
$137$	−5.51058	+	15.1402i	−0.470801	+	1.29351i	0.446308	+	0.894879i	$0.352738\pi$
$137$	−5.51058	+	15.1402i	−0.470801	+	1.29351i	−0.917109	+	0.398636i	$0.869484\pi$
$138$	1.36237	+	2.76904i	0.115973	+	0.235716i
$139$	8.00330	+	1.41120i	0.678831	+	0.119696i	0.502424	−	0.864621i	$-0.332442\pi$
$139$	8.00330	+	1.41120i	0.678831	+	0.119696i	0.176406	+	0.984317i	$0.443553\pi$
$140$	−9.99435	+	3.21383i	−0.844677	+	0.271618i
$141$	−6.28281	+	4.59787i	−0.529108	+	0.387210i
$142$	2.20252	+	0.801653i	0.184832	+	0.0672732i
$143$	−0.873080	+	1.51222i	−0.0730106	+	0.126458i
$144$	−2.65848	−	1.39014i	−0.221540	−	0.115845i
$145$	−11.1464	+	6.43541i	−0.925662	+	0.534431i
$146$	−5.08188	−	1.84965i	−0.420580	−	0.153078i
$147$	−3.77696	+	11.5210i	−0.311519	+	0.950240i
$148$	−8.96891	−	7.52581i	−0.737240	−	0.618618i
$149$	5.02515	+	13.8065i	0.411676	+	1.13107i	0.956299	+	0.292390i	$0.0944504\pi$
$149$	5.02515	+	13.8065i	0.411676	+	1.13107i	−0.544623	+	0.838681i	$0.683327\pi$
$150$	−12.8822	+	13.4321i	−1.05182	+	1.09673i
$151$	0.616202	+	3.49465i	0.0501458	+	0.284391i	0.999561	−	0.0296331i	$-0.00943389\pi$
$151$	0.616202	+	3.49465i	0.0501458	+	0.284391i	−0.949415	+	0.314024i	$0.898323\pi$
$152$	−3.00568	−	5.20599i	−0.243793	−	0.422261i
$153$	5.20515	+	12.6320i	0.420811	+	1.02124i
$154$	7.11629	+	13.4824i	0.573447	+	1.08645i
$155$	1.97872	−	0.348902i	0.158935	−	0.0280245i
$156$	0.309977	+	0.423571i	0.0248180	+	0.0339128i
$157$	7.11789	−	8.48277i	0.568070	−	0.676999i	−0.403164	−	0.915128i	$-0.632090\pi$
$157$	7.11789	−	8.48277i	0.568070	−	0.676999i	0.971234	+	0.238129i	$0.0765340\pi$
$158$	0.165535	+	0.454805i	0.0131693	+	0.0361823i
$159$	1.26326	−	19.0057i	0.100183	−	1.50725i
$160$	2.55059	+	3.03967i	0.201642	+	0.240307i
$161$	−3.99010	−	2.51017i	−0.314464	−	0.197829i
$162$	−5.18929	+	7.35332i	−0.407709	+	0.577731i
$163$	−5.73479	+	9.93294i	−0.449183	+	0.778008i	−0.998333	−	0.0577159i	$-0.981618\pi$
$163$	−5.73479	+	9.93294i	−0.449183	+	0.778008i	0.549150	+	0.835724i	$0.314952\pi$
$164$	5.13632	+	1.86947i	0.401079	+	0.145981i
$165$	32.9077	+	22.0321i	2.56186	+	1.71519i
$166$	−2.33071	+	2.77764i	−0.180899	+	0.215586i
$167$	10.6951	−	3.89271i	0.827614	−	0.301227i	0.106735	−	0.994288i	$-0.465960\pi$
$167$	10.6951	−	3.89271i	0.827614	−	0.301227i	0.720879	+	0.693061i	$0.243738\pi$
$168$	4.57128	−	0.321519i	0.352682	−	0.0248058i
$169$	2.24148	+	12.7121i	0.172422	+	0.977851i
$170$		−	18.0709i		−	1.38597i
$171$	−16.6740	+	6.87067i	−1.27509	+	0.525413i
$172$	−0.0179198			−0.00136637
$173$	−12.0526	+	10.1133i	−0.916340	+	0.768901i	−0.973315	−	0.229475i	$-0.926299\pi$
$173$	−12.0526	+	10.1133i	−0.916340	+	0.768901i	0.0569742	+	0.998376i	$0.481855\pi$
$174$	5.39515	−	1.56716i	0.409005	−	0.118806i
$175$	5.99514	−	27.7896i	0.453190	−	2.10069i
$176$	3.70385	−	4.41407i	0.279188	−	0.332723i
$177$	5.91705	−	1.71876i	0.444753	−	0.129190i
$178$	10.6666	−	1.88082i	0.799498	−	0.140973i
$179$			7.96603i			0.595409i	0.954658	+	0.297705i	$0.0962211\pi$
$179$			7.96603i			0.595409i	−0.954658	+	0.297705i	$0.903779\pi$
$180$	10.0515	−	6.37755i	0.749195	−	0.475354i
$181$	2.76456	−	1.59612i	0.205488	−	0.118638i	−0.393725	−	0.919228i	$-0.628814\pi$
$181$	2.76456	−	1.59612i	0.205488	−	0.118638i	0.599213	+	0.800590i	$0.295480\pi$
$182$	−0.742469	−	0.302603i	−0.0550355	−	0.0224305i
$183$	9.54607	+	13.0443i	0.705666	+	0.964266i
$184$	−0.309394	+	1.75466i	−0.0228088	+	0.129355i
$185$	43.6561	−	15.8895i	3.20966	−	1.16822i
$186$	−0.875113	−	0.0581666i	−0.0641664	−	0.00426498i
$187$	−25.8430	+	4.55682i	−1.88983	+	0.333228i
$188$	−4.49496			−0.327829
$189$	0.858959	−	13.7209i	0.0624801	−	0.998046i
$190$	23.8531			1.73049
$191$	−4.72972	+	0.833977i	−0.342230	+	0.0603444i	−0.342122	−	0.939656i	$-0.611146\pi$
$191$	−4.72972	+	0.833977i	−0.342230	+	0.0603444i	−0.000108385		1.00000i	$0.500035\pi$
$192$	−0.764637	−	1.55413i	−0.0551829	−	0.112160i
$193$	8.28707	−	3.01625i	0.596516	−	0.217114i	−0.0260768	−	0.999660i	$-0.508301\pi$
$193$	8.28707	−	3.01625i	0.596516	−	0.217114i	0.622593	+	0.782546i	$0.286079\pi$
$194$	1.58600	−	8.99464i	0.113868	−	0.645778i
$195$	−2.07055	+	0.224835i	−0.148276	+	0.0161008i
$196$	−5.68801	+	4.08002i	−0.406286	+	0.291430i
$197$	−5.96493	+	3.44385i	−0.424984	+	0.245364i	−0.697207	−	0.716870i	$-0.745574\pi$
$197$	−5.96493	+	3.44385i	−0.424984	+	0.245364i	0.272224	+	0.962234i	$0.412241\pi$
$198$	−11.6551	−	12.7664i	−0.828292	−	0.907269i
$199$			20.2172i			1.43316i	0.697504	+	0.716581i	$0.254294\pi$
$199$			20.2172i			1.43316i	−0.697504	+	0.716581i	$0.745706\pi$
$200$	−10.5819	+	1.86587i	−0.748251	+	0.131937i
$201$	4.37694	+	4.19773i	0.308726	+	0.296085i
$202$	−3.72836	+	4.44328i	−0.262326	+	0.312628i
$203$	−5.76174	+	6.36010i	−0.404395	+	0.446392i
$204$	−1.88192	+	7.66022i	−0.131760	+	0.536323i
$205$	−16.6147	+	13.9414i	−1.16042	+	0.973709i
$206$	−8.22653			−0.573170
$207$	5.09482	+	1.61670i	0.354115	+	0.112369i
$208$			0.303039i			0.0210120i
$209$	−6.01489	−	34.1122i	−0.416059	−	2.35959i
$210$	−7.96458	+	16.3466i	−0.549608	+	1.12803i
$211$	12.0394	−	4.38200i	0.828830	−	0.301669i	0.107451	−	0.994210i	$-0.465731\pi$
$211$	12.0394	−	4.38200i	0.828830	−	0.301669i	0.721378	+	0.692541i	$0.243509\pi$
$212$	7.06883	−	8.42430i	0.485489	−	0.578583i
$213$	3.64270	−	1.79221i	0.249593	−	0.122801i
$214$	−9.20792	−	3.35141i	−0.629441	−	0.229098i
$215$	0.0355529	−	0.0615794i	0.00242469	−	0.00419968i
$216$	−4.92498	+	1.65666i	−0.335103	+	0.112721i
$217$	1.18480	−	0.625359i	0.0804292	−	0.0424521i
$218$	−7.51164	−	8.95202i	−0.508753	−	0.606308i
$219$	−8.40480	+	4.13518i	−0.567943	+	0.279429i
$220$	7.82006	+	21.4854i	0.527228	+	1.44855i
$221$	0.887100	−	1.05720i	0.0596728	−	0.0711153i
$222$	−20.1605	+	2.18916i	−1.35308	+	0.146927i
$223$	0.0862228	−	0.0152034i	0.00577391	−	0.00101810i	−0.170760	−	0.985313i	$-0.554622\pi$
$223$	0.0862228	−	0.0152034i	0.00577391	−	0.00101810i	0.176534	+	0.984294i	$0.443511\pi$
$224$	2.23946	+	1.40884i	0.149630	+	0.0941323i
$225$	1.34682	+	32.2072i	0.0897882	+	2.14715i
$226$	−3.87731	−	6.71571i	−0.257915	−	0.446722i
$227$	1.00268	+	5.68651i	0.0665505	+	0.377427i	0.999833	+	0.0182832i	$0.00582004\pi$
$227$	1.00268	+	5.68651i	0.0665505	+	0.377427i	−0.933282	+	0.359144i	$0.883069\pi$
$228$	−10.1113	−	2.48408i	−0.669638	−	0.164512i
$229$	2.85069	+	7.83219i	0.188379	+	0.517566i	0.997546	−	0.0700121i	$-0.0223038\pi$
$229$	2.85069	+	7.83219i	0.188379	+	0.517566i	−0.809168	+	0.587578i	$0.800082\pi$
$230$	−5.41587	−	4.54445i	−0.357112	−	0.299652i
$231$	25.3856	+	7.26805i	1.67025	+	0.478203i
$232$	3.04803	+	1.10939i	0.200113	+	0.0728351i
$233$	19.0399	−	10.9927i	1.24735	−	0.720156i	0.276767	−	0.960937i	$-0.410737\pi$
$233$	19.0399	−	10.9927i	1.24735	−	0.720156i	0.970579	+	0.240781i	$0.0774036\pi$
$234$	0.901120	+	0.120322i	0.0589080	+	0.00786570i
$235$	8.91803	−	15.4465i	0.581748	−	1.00762i
$236$	3.34288	+	1.21671i	0.217603	+	0.0792009i
$237$	0.766996	+	0.338329i	0.0498217	+	0.0219768i
$238$	−3.68856	−	11.4707i	−0.239094	−	0.743532i
$239$	−19.2431	−	3.39308i	−1.24473	−	0.219480i	−0.487790	−	0.872961i	$-0.662197\pi$
$239$	−19.2431	−	3.39308i	−1.24473	−	0.219480i	−0.756943	+	0.653481i	$0.773308\pi$
$240$	6.85767	+	0.455812i	0.442660	+	0.0294225i
$241$	8.32296	−	22.8671i	0.536129	−	1.47300i	−0.315535	−	0.948914i	$-0.602184\pi$
$241$	8.32296	−	22.8671i	0.536129	−	1.47300i	0.851664	−	0.524088i	$-0.175594\pi$
$242$	19.2279	−	11.1013i	1.23602	−	0.713615i
$243$	2.97079	+	15.3028i	0.190576	+	0.981672i
$244$			9.33242i			0.597447i
$245$	−2.73553	−	27.6410i	−0.174766	−	1.76592i
$246$	8.49482	−	4.17947i	0.541610	−	0.266473i
$247$	1.39548	+	1.17095i	0.0887926	+	0.0745058i
$248$	−0.387896	−	0.325483i	−0.0246314	−	0.0206682i
$249$	0.677975	+	6.24362i	0.0429649	+	0.395674i
$250$	7.79692	−	21.4219i	0.493120	−	1.35484i
$251$	1.54034	+	2.66795i	0.0972254	+	0.168399i	0.910535	−	0.413432i	$-0.135670\pi$
$251$	1.54034	+	2.66795i	0.0972254	+	0.168399i	−0.813310	+	0.581831i	$0.802337\pi$
$252$	5.07853	−	6.09988i	0.319917	−	0.384256i
$253$	−5.13330	+	8.89113i	−0.322728	+	0.558981i
$254$	−1.66241	−	1.98118i	−0.104309	−	0.124311i
$255$	−22.5898	−	21.6649i	−1.41463	−	1.35671i
$256$	0.173648	−	0.984808i	0.0108530	−	0.0615505i
$257$	−5.74957	+	2.09267i	−0.358648	+	0.130537i	−0.515059	−	0.857155i	$-0.672230\pi$
$257$	−5.74957	+	2.09267i	−0.358648	+	0.130537i	0.156410	+	0.987692i	$0.450008\pi$
$258$	−0.0214837	+	0.0224009i	−0.00133752	+	0.00139462i
$259$	24.4678	−	18.9969i	1.52035	−	1.18041i
$260$	−1.04136	−	0.601231i	−0.0645826	−	0.0372868i
$261$	4.50912	−	8.62316i	0.279107	−	0.533760i
$262$	−5.29626	−	3.05780i	−0.327204	−	0.188911i
$263$	7.34638	+	8.75508i	0.452997	+	0.539861i	0.943410	−	0.331629i	$-0.107598\pi$
$263$	7.34638	+	8.75508i	0.452997	+	0.539861i	−0.490412	+	0.871490i	$0.663154\pi$
$264$	−1.07740	−	9.92203i	−0.0663095	−	0.610659i
$265$	14.9247	+	41.0052i	0.916815	+	2.51893i
$266$	15.1410	−	4.86881i	0.928353	−	0.298526i
$267$	10.4369	−	15.5889i	0.638730	−	0.954026i
$268$	0.608005	+	3.44817i	0.0371398	+	0.210630i
$269$	8.47233	+	14.6745i	0.516567	+	0.894721i	0.999815	+	0.0192371i	$0.00612372\pi$
$269$	8.47233	+	14.6745i	0.516567	+	0.894721i	−0.483248	+	0.875484i	$0.660543\pi$
$270$	4.07825	−	20.2110i	0.248194	−	1.23000i
$271$	19.1369	+	11.0487i	1.16248	+	0.671160i	0.951898	−	0.306416i	$-0.0991298\pi$
$271$	19.1369	+	11.0487i	1.16248	+	0.671160i	0.210585	+	0.977576i	$0.432463\pi$
$272$	−3.48867	+	2.92735i	−0.211532	+	0.177496i
$273$	−1.26841	+	0.565350i	−0.0767677	+	0.0342165i
$274$	−2.79780	+	15.8671i	−0.169021	+	0.958566i
$275$	−60.9744	−	10.7514i	−3.67690	−	0.648336i
$276$	1.82251	+	2.49040i	0.109703	+	0.149904i
$277$	2.48270	−	2.08324i	0.149171	−	0.125170i	−0.565148	−	0.824990i	$-0.691181\pi$
$277$	2.48270	−	2.08324i	0.149171	−	0.125170i	0.714319	+	0.699820i	$0.246736\pi$
$278$	8.12676			0.487411
$279$	−1.12187	+	1.02422i	−0.0671648	+	0.0613182i
$280$	−9.28444	+	4.90051i	−0.554851	+	0.292861i
$281$	6.63973	−	18.2425i	0.396093	−	1.08826i	−0.568078	−	0.822975i	$-0.692313\pi$
$281$	6.63973	−	18.2425i	0.396093	−	1.08826i	0.964171	−	0.265282i	$-0.0854650\pi$
$282$	−5.38895	+	5.61901i	−0.320907	+	0.334607i
$283$	4.40833	+	0.777307i	0.262048	+	0.0462061i	0.303128	−	0.952950i	$-0.401969\pi$
$283$	4.40833	+	0.777307i	0.262048	+	0.0462061i	−0.0410805	+	0.999156i	$0.513080\pi$
$284$	2.30827	+	0.407010i	0.136971	+	0.0241516i
$285$	28.5972	−	29.8180i	1.69395	−	1.76627i
$286$	−0.597222	+	1.64085i	−0.0353145	+	0.0970257i
$287$	−7.70067	+	12.2408i	−0.454556	+	0.722549i
$288$	−2.85949	−	0.907381i	−0.168497	−	0.0534679i
$289$	3.74020			0.220012
$290$	−9.85961	+	8.27320i	−0.578976	+	0.485819i
$291$	−9.34249	−	12.7662i	−0.547666	−	0.748366i
$292$	−5.32587	−	0.939094i	−0.311673	−	0.0549563i
$293$	−2.82734	+	16.0346i	−0.165175	+	0.936753i	0.783709	+	0.621128i	$0.213325\pi$
$293$	−2.82734	+	16.0346i	−0.165175	+	0.936753i	−0.948884	+	0.315625i	$0.897786\pi$
$294$	−1.71897	+	12.0019i	−0.100253	+	0.699964i
$295$	−10.8134	+	9.07350i	−0.629579	+	0.528280i
$296$	−10.1395	−	5.85404i	−0.589346	−	0.340259i
$297$	−29.9320	−	0.735781i	−1.73683	−	0.0426944i
$298$	7.34627	+	12.7241i	0.425558	+	0.737088i
$299$	−0.0937583	−	0.531730i	−0.00542218	−	0.0307507i
$300$	−10.3540	+	15.4650i	−0.597788	+	0.892874i
$301$	0.00999816	−	0.0463450i	0.000576284	−	0.00267128i
$302$	1.21368	+	3.33456i	0.0698395	+	0.191882i
$303$	1.08453	+	9.98769i	0.0623047	+	0.573778i
$304$	−3.86402	−	4.60496i	−0.221617	−	0.264113i
$305$	−32.0699	−	18.5156i	−1.83632	−	1.06020i
$306$	7.31960	+	11.5363i	0.418434	+	0.659484i
$307$	9.99043	+	5.76798i	0.570184	+	0.329196i	0.757223	−	0.653157i	$-0.226556\pi$
$307$	9.99043	+	5.76798i	0.570184	+	0.329196i	−0.187039	+	0.982353i	$0.559889\pi$
$308$	9.34938	+	12.0419i	0.532730	+	0.686149i
$309$	−9.86268	+	10.2837i	−0.561068	+	0.585021i
$310$	1.88808	−	0.687204i	0.107236	−	0.0390305i
$311$	1.41281	−	8.01243i	0.0801130	−	0.454343i	−0.918192	−	0.396137i	$-0.870351\pi$
$311$	1.41281	−	8.01243i	0.0801130	−	0.454343i	0.998305	−	0.0582067i	$-0.0185383\pi$
$312$	0.378820	+	0.363309i	0.0214464	+	0.0205683i
$313$	−14.0979	−	16.8013i	−0.796863	−	0.949664i	0.202700	−	0.979241i	$-0.435028\pi$
$313$	−14.0979	−	16.8013i	−0.796863	−	0.949664i	−0.999563	+	0.0295769i	$0.990584\pi$
$314$	5.53674	−	9.58991i	0.312456	−	0.541190i
$315$	10.8858	+	29.5540i	0.613345	+	1.66518i
$316$	0.241997	+	0.419150i	0.0136134	+	0.0235791i
$317$	−1.73313	+	4.76172i	−0.0973420	+	0.267445i	−0.978800	−	0.204817i	$-0.934340\pi$
$317$	−1.73313	+	4.76172i	−0.0973420	+	0.267445i	0.881458	+	0.472262i	$0.156562\pi$
$318$	−2.05623	−	18.9363i	−0.115308	−	1.06190i
$319$	14.3177	+	12.0140i	0.801636	+	0.672652i
$320$	3.03967	+	2.55059i	0.169923	+	0.142582i
$321$	−15.2287	+	7.49257i	−0.849986	+	0.418195i
$322$	−4.36537	−	1.77916i	−0.243272	−	0.0991490i
$323$			27.3766i			1.52327i
$324$	−3.83356	+	8.14272i	−0.212975	+	0.452373i
$325$	2.81994	−	1.62809i	0.156422	−	0.0903104i
$326$	−3.92282	+	10.7779i	−0.217265	+	0.596931i
$327$	−20.1962	−	1.34239i	−1.11686	−	0.0742346i
$328$	5.38291	+	0.949153i	0.297222	+	0.0524082i
$329$	2.50792	−	11.6251i	0.138266	−	0.640913i
$330$	36.2336	+	15.9830i	1.99460	+	0.879834i
$331$	27.0222	+	9.83528i	1.48527	+	0.540596i	0.952201	−	0.305473i	$-0.0988145\pi$
$331$	27.0222	+	9.83528i	1.48527	+	0.540596i	0.533074	+	0.846069i	$0.321037\pi$
$332$	−1.81297	+	3.14016i	−0.0994999	+	0.172339i
$333$	−21.4335	+	27.8265i	−1.17455	+	1.52489i
$334$	9.85669	−	5.69076i	0.539334	−	0.311385i
$335$	−13.0556	−	4.75183i	−0.713301	−	0.259620i
$336$	4.44600	−	1.11043i	0.242549	−	0.0605789i
$337$	5.55546	+	4.66159i	0.302625	+	0.253933i	0.781436	−	0.623985i	$-0.214488\pi$
$337$	5.55546	+	4.66159i	0.302625	+	0.253933i	−0.478811	+	0.877918i	$0.658932\pi$
$338$	4.41485	+	12.1297i	0.240136	+	0.659769i
$339$	−13.0436	−	3.20446i	−0.708429	−	0.174042i
$340$	−3.13798	−	17.7963i	−0.170181	−	0.965142i
$341$	−1.45887	−	2.52684i	−0.0790022	−	0.136836i
$342$	−15.2276	+	9.66169i	−0.823413	+	0.522444i
$343$	−7.37839	−	16.9870i	−0.398395	−	0.917214i
$344$	−0.0176475	+	0.00311173i	−0.000951490	+	0.000167773i
$345$	−12.1739	+	1.32192i	−0.655420	+	0.0711699i
$346$	−10.1133	+	12.0526i	−0.543695	+	0.647951i
$347$	2.01643	+	5.54011i	0.108248	+	0.297409i	0.981976	−	0.189006i	$-0.0605266\pi$
$347$	2.01643	+	5.54011i	0.108248	+	0.297409i	−0.873728	+	0.486415i	$0.838304\pi$
$348$	5.04105	−	2.48021i	0.270229	−	0.132953i
$349$	−8.15826	−	9.72264i	−0.436702	−	0.520441i	0.502142	−	0.864785i	$-0.332546\pi$
$349$	−8.15826	−	9.72264i	−0.436702	−	0.520441i	−0.938843	+	0.344345i	$0.888101\pi$
$350$	1.07845	−	28.4084i	0.0576455	−	1.51849i
$351$	1.23075	−	0.982209i	0.0656926	−	0.0524264i
$352$	2.88108	−	4.99018i	0.153562	−	0.265977i
$353$	−8.53976	−	3.10822i	−0.454525	−	0.165434i	0.104604	−	0.994514i	$-0.466642\pi$
$353$	−8.53976	−	3.10822i	−0.454525	−	0.165434i	−0.559130	+	0.829080i	$0.688865\pi$
$354$	5.52870	−	2.72013i	0.293847	−	0.144573i
$355$	−5.97826	+	7.12462i	−0.317293	+	0.378135i
$356$	10.1780	−	3.70448i	0.539432	−	0.196337i
$357$	−18.7613	−	9.14106i	−0.992952	−	0.483796i
$358$	1.38329	+	7.84501i	0.0731090	+	0.414622i
$359$		−	0.0502530i		−	0.00265225i	−0.999999	−	0.00132612i	$-0.999578\pi$
$359$		−	0.0502530i		−	0.00265225i	0.999999	−	0.00132612i	$-0.000422119\pi$
$360$	8.79136	−	8.02608i	0.463345	−	0.423012i
$361$	−17.1364			−0.901915
$362$	2.44539	−	2.05193i	0.128527	−	0.107847i
$363$	9.17478	−	37.3454i	0.481551	−	1.96012i
$364$	−0.783736	−	0.169078i	−0.0410789	−	0.00886209i
$365$	13.7937	−	16.4386i	0.721993	−	0.860437i
$366$	11.6662	+	11.1885i	0.609800	+	0.584833i
$367$	−2.69479	+	0.475164i	−0.140667	+	0.0248034i	−0.243538	−	0.969891i	$-0.578308\pi$
$367$	−2.69479	+	0.475164i	−0.140667	+	0.0248034i	0.102871	+	0.994695i	$0.467197\pi$
$368$			1.78173i			0.0928789i
$369$	4.95970	−	15.6298i	0.258192	−	0.813656i
$370$	40.2336	−	23.2289i	2.09165	−	1.20761i
$371$	17.8434	+	22.9820i	0.926382	+	1.19317i
$372$	−0.871919	+	0.0946789i	−0.0452069	+	0.00490887i
$373$	−0.155840	+	0.883813i	−0.00806909	+	0.0457621i	−0.988576	−	0.150720i	$-0.951841\pi$
$373$	−0.155840	+	0.883813i	−0.00806909	+	0.0457621i	0.980507	+	0.196482i	$0.0629518\pi$
$374$	−24.6591	+	8.97519i	−1.27509	+	0.464096i
$375$	−17.4312	−	35.4291i	−0.900142	−	1.82955i
$376$	−4.42668	+	0.780542i	−0.228288	+	0.0402534i
$377$	−0.982951			−0.0506245
$378$	−1.53669	−	13.6616i	−0.0790390	−	0.702675i
$379$	10.5375			0.541273			0.270637	−	0.962682i	$-0.412766\pi$
$379$	10.5375			0.541273			0.270637	+	0.962682i	$0.412766\pi$
$380$	23.4907	−	4.14205i	1.20505	−	0.212483i
$381$	−4.46966	−	0.297087i	−0.228987	−	0.0152202i
$382$	−4.51304	+	1.64261i	−0.230907	+	0.0840434i
$383$	−5.94204	+	33.6990i	−0.303624	+	1.72194i	0.326286	+	0.945271i	$0.394203\pi$
$383$	−5.94204	+	33.6990i	−0.303624	+	1.72194i	−0.629910	+	0.776668i	$0.716908\pi$
$384$	−1.02289	−	1.39774i	−0.0521993	−	0.0713284i
$385$	−59.9299	+	8.23705i	−3.05431	+	0.419799i
$386$	7.63740	−	4.40946i	0.388734	−	0.224435i
$387$	0.00224611	+	0.0537123i	0.000114176	+	0.00273035i
$388$		−	9.13340i		−	0.463678i
$389$	−32.2470	+	5.68601i	−1.63499	+	0.288292i	−0.914321	−	0.404990i	$-0.867275\pi$
$389$	−32.2470	+	5.68601i	−1.63499	+	0.288292i	−0.720666	+	0.693282i	$0.756164\pi$
$390$	−2.00006	+	0.580967i	−0.101277	+	0.0294184i
$391$	5.21573	−	6.21586i	0.263771	−	0.314350i
$392$	−4.89311	+	5.00575i	−0.247139	+	0.252828i
$393$	−10.1721	+	2.95474i	−0.513113	+	0.149047i
$394$	−5.27629	+	4.42733i	−0.265816	+	0.223046i
$395$	−1.92049			−0.0966304
$396$	−13.6949	−	10.5486i	−0.688195	−	0.530085i
$397$		−	15.5630i		−	0.781083i	−0.920585	−	0.390542i	$-0.872288\pi$
$397$		−	15.5630i		−	0.781083i	0.920585	−	0.390542i	$-0.127712\pi$
$398$	3.51069	+	19.9101i	0.175975	+	0.998002i
$399$	12.0660	−	24.7644i	0.604054	−	1.23977i
$400$	−10.0971	+	3.67504i	−0.504855	+	0.183752i
$401$	5.61693	−	6.69400i	0.280496	−	0.334282i	−0.607340	−	0.794442i	$-0.707763\pi$
$401$	5.61693	−	6.69400i	0.280496	−	0.334282i	0.887836	+	0.460160i	$0.152208\pi$
$402$	5.03937	+	3.37391i	0.251341	+	0.168275i
$403$	0.144193	+	0.0524821i	0.00718279	+	0.00261432i
$404$	−2.90015	+	5.02320i	−0.144288	+	0.249914i
$405$	−20.3758	−	29.3288i	−1.01248	−	1.45736i
$406$	−4.56978	+	7.26399i	−0.226795	+	0.360506i
$407$	−43.3649	−	51.6803i	−2.14952	−	2.56170i
$408$	−0.523142	+	7.87064i	−0.0258994	+	0.389655i
$409$	−6.53906	−	17.9659i	−0.323336	−	0.888357i	−0.989754	−	0.142780i	$-0.954396\pi$
$409$	−6.53906	−	17.9659i	−0.323336	−	0.888357i	0.666419	−	0.745578i	$-0.267826\pi$
$410$	−13.9414	+	16.6147i	−0.688516	+	0.820542i
$411$	16.4807	+	22.5203i	0.812934	+	1.11084i
$412$	−8.10155	+	1.42852i	−0.399135	+	0.0703782i
$413$	−5.01184	+	7.96667i	−0.246617	+	0.392014i
$414$	5.29816	+	0.707436i	0.260390	+	0.0347686i
$415$	−7.19390	−	12.4602i	−0.353135	−	0.611647i
$416$	0.0526222	+	0.298435i	0.00258002	+	0.0146320i
$417$	9.74306	−	10.1590i	0.477120	−	0.497489i
$418$	−11.8470	−	32.5494i	−0.579457	−	1.59205i
$419$	−12.9465	−	10.8634i	−0.632479	−	0.530713i	0.269219	−	0.963079i	$-0.413234\pi$
$419$	−12.9465	−	10.8634i	−0.632479	−	0.530713i	−0.901698	+	0.432366i	$0.857679\pi$
$420$	−5.00502	+	17.4813i	−0.244220	+	0.853002i
$421$	14.0018	+	5.09625i	0.682407	+	0.248376i	0.659881	−	0.751370i	$-0.270607\pi$
$421$	14.0018	+	5.09625i	0.682407	+	0.248376i	0.0225266	+	0.999746i	$0.492829\pi$
$422$	11.0956	−	6.40605i	0.540126	−	0.311842i
$423$	0.563412	+	13.4731i	0.0273940	+	0.655085i
$424$	5.49857	−	9.52381i	0.267034	−	0.462517i
$425$	45.9836	+	16.7367i	2.23053	+	0.811848i
$426$	3.27614	−	2.39753i	0.158730	−	0.116161i
$427$	−24.1360	−	5.20694i	−1.16802	−	0.251981i
$428$	−9.65000	−	1.70156i	−0.466450	−	0.0822478i
$429$	1.33518	+	2.71377i	0.0644630	+	0.131022i
$430$	0.0243196	−	0.0668176i	0.00117280	−	0.00322223i
$431$	−10.2903	+	5.94111i	−0.495666	+	0.286173i	−0.726922	−	0.686720i	$-0.759050\pi$
$431$	−10.2903	+	5.94111i	−0.495666	+	0.286173i	0.231256	+	0.972893i	$0.425717\pi$
$432$	−4.56249	+	2.48671i	−0.219513	+	0.119642i
$433$		−	10.8649i		−	0.522133i	−0.965321	−	0.261066i	$-0.915926\pi$
$433$		−	10.8649i		−	0.522133i	0.965321	−	0.261066i	$-0.0840741\pi$
$434$	1.05820	−	0.821596i	0.0507954	−	0.0394379i
$435$	−1.47849	+	22.2438i	−0.0708882	+	1.06651i
$436$	−8.95202	−	7.51164i	−0.428724	−	0.359742i
$437$	8.20479	+	6.88463i	0.392488	+	0.329337i
$438$	−7.55904	+	5.53183i	−0.361185	+	0.264321i
$439$	−2.58374	+	7.09878i	−0.123315	+	0.338806i	−0.985955	−	0.167013i	$-0.946588\pi$
$439$	−2.58374	+	7.09878i	−0.123315	+	0.338806i	0.862639	+	0.505820i	$0.168810\pi$
$440$	11.4322	+	19.8011i	0.545007	+	0.943980i
$441$	12.9423	+	16.5377i	0.616301	+	0.787511i
$442$	0.690041	−	1.19519i	0.0328219	−	0.0568492i
$443$	25.5127	+	30.4048i	1.21214	+	1.44458i	0.861266	+	0.508155i	$0.169672\pi$
$443$	25.5127	+	30.4048i	1.21214	+	1.44458i	0.350878	+	0.936421i	$0.385883\pi$
$444$	−19.4741	+	5.65674i	−0.924198	+	0.268457i
$445$	−7.46310	+	42.3253i	−0.353785	+	2.00641i
$446$	0.0822728	−	0.0299449i	0.00389573	−	0.00141793i
$447$	24.7134	+	6.07143i	1.16890	+	0.287169i
$448$	2.45008	+	0.998562i	0.115755	+	0.0471776i
$449$	−23.2421	−	13.4188i	−1.09686	−	0.633273i	−0.161466	−	0.986878i	$-0.551622\pi$
$449$	−23.2421	−	13.4188i	−1.09686	−	0.633273i	−0.935395	+	0.353606i	$0.884955\pi$
$450$	6.91908	+	31.4840i	0.326169	+	1.48417i
$451$	27.2761	+	15.7479i	1.28438	+	0.741537i
$452$	−4.98458	−	5.94039i	−0.234455	−	0.279412i
$453$	5.62349	+	2.48057i	0.264215	+	0.116548i
$454$	1.97490	+	5.42600i	0.0926868	+	0.254655i
$455$	2.13595	−	2.35778i	0.100135	−	0.110534i
$456$	−10.3890	−	0.690534i	−0.486512	−	0.0323372i
$457$	6.78330	+	38.4700i	0.317309	+	1.79955i	0.558967	+	0.829190i	$0.311198\pi$
$457$	6.78330	+	38.4700i	0.317309	+	1.79955i	−0.241658	+	0.970362i	$0.577691\pi$
$458$	4.16742	+	7.21819i	0.194731	+	0.337284i
$459$	23.1965	+	4.68066i	1.08272	+	0.218475i
$460$	−6.12272	−	3.53495i	−0.285473	−	0.164818i
$461$	6.60847	−	5.54516i	0.307787	−	0.258264i	−0.475790	−	0.879559i	$-0.657838\pi$
$461$	6.60847	−	5.54516i	0.307787	−	0.258264i	0.783577	+	0.621295i	$0.213393\pi$
$462$	26.2620	+	2.74947i	1.22182	+	0.127917i
$463$	0.803756	−	4.55833i	0.0373537	−	0.211843i	−0.960418	−	0.278563i	$-0.910142\pi$
$463$	0.803756	−	4.55833i	0.0373537	−	0.211843i	0.997772	+	0.0667192i	$0.0212532\pi$
$464$	3.19436	+	0.563253i	0.148295	+	0.0261483i
$465$	1.40454	−	3.18410i	0.0651339	−	0.147659i
$466$	16.8418	−	14.1319i	0.780181	−	0.654650i
$467$	−15.3592			−0.710737			−0.355368	−	0.934726i	$-0.615645\pi$
$467$	−15.3592			−0.710737			−0.355368	+	0.934726i	$0.615645\pi$
$468$	0.908324	−	0.0379838i	0.0419873	−	0.00175580i
$469$	−9.25706	−	0.351419i	−0.427451	−	0.0162270i
$470$	6.10029	−	16.7604i	0.281386	−	0.773101i
$471$	−5.35013	−	18.4185i	−0.246521	−	0.848680i
$472$	3.50337	+	0.617739i	0.161256	+	0.0284337i
$473$	−0.101688	−	0.0179303i	−0.00467561	−	0.000824436i
$474$	0.814093	+	0.200001i	0.0373925	+	0.00918637i
$475$	−22.0920	+	60.6973i	−1.01365	+	2.78498i
$476$	−5.62438	−	10.6559i	−0.257793	−	0.488411i
$477$	−26.1369	−	20.1320i	−1.19672	−	0.921783i
$478$	−19.5400			−0.893737
$479$	13.7530	−	11.5401i	0.628389	−	0.527281i	−0.272039	−	0.962286i	$-0.587698\pi$
$479$	13.7530	−	11.5401i	0.628389	−	0.527281i	0.900428	+	0.435005i	$0.143253\pi$
$480$	6.83263	−	0.741934i	0.311866	−	0.0338645i
$481$	3.49411	+	0.616105i	0.159317	+	0.0280920i
$482$	4.22568	−	23.9650i	0.192474	−	1.09158i
$483$	−7.45766	+	3.32399i	−0.339335	+	0.151247i
$484$	17.0081	−	14.2715i	0.773096	−	0.648704i
$485$	31.3860	+	18.1207i	1.42516	+	0.822819i
$486$	5.58295	+	14.5544i	0.253248	+	0.660201i
$487$	3.76361	+	6.51877i	0.170545	+	0.295393i	0.938611	−	0.344978i	$-0.112114\pi$
$487$	3.76361	+	6.51877i	0.170545	+	0.295393i	−0.768065	+	0.640372i	$0.778780\pi$
$488$	1.62056	+	9.19064i	0.0733592	+	0.416041i
$489$	8.77006	+	17.8252i	0.396596	+	0.806085i
$490$	−7.49378	−	26.7461i	−0.338535	−	1.20827i
$491$	14.6752	+	40.3197i	0.662281	+	1.81960i	0.566265	+	0.824223i	$0.308388\pi$
$491$	14.6752	+	40.3197i	0.662281	+	1.81960i	0.0960166	+	0.995380i	$0.469390\pi$
$492$	7.64001	−	5.59108i	0.344438	−	0.252066i
$493$	−9.49526	−	11.3160i	−0.427645	−	0.509648i
$494$	1.57762	+	0.910838i	0.0709804	+	0.0409805i
$495$	63.4198	−	26.1327i	2.85051	−	1.17458i
$496$	−0.438522	−	0.253181i	−0.0196902	−	0.0113682i
$497$	−2.34051	+	5.74268i	−0.104986	+	0.257594i
$498$	1.75187	+	6.03104i	0.0785031	+	0.270257i
$499$	−37.4399	+	13.6270i	−1.67604	+	0.610028i	−0.992758	−	0.120128i	$-0.961670\pi$
$499$	−37.4399	+	13.6270i	−1.67604	+	0.610028i	−0.683280	+	0.730156i	$0.739447\pi$
$500$	3.95860	−	22.4503i	0.177034	−	1.00401i
$501$	4.70321	−	19.1441i	0.210124	−	0.855296i
$502$	1.98022	+	2.35994i	0.0883816	+	0.105329i
$503$	10.4837	−	18.1583i	0.467444	−	0.809638i	−0.531864	−	0.846830i	$-0.678508\pi$
$503$	10.4837	−	18.1583i	0.467444	−	0.809638i	0.999308	+	0.0371925i	$0.0118415\pi$
$504$	3.94214	−	6.88909i	0.175597	−	0.306864i
$505$	−11.5078	−	19.9321i	−0.512091	−	0.886967i
$506$	−3.51138	+	9.64744i	−0.156100	+	0.428881i
$507$	20.4559	+	9.02327i	0.908477	+	0.400738i
$508$	−1.98118	−	1.66241i	−0.0879008	−	0.0737576i
$509$	−21.1365	−	17.7357i	−0.936860	−	0.786119i	0.0401759	−	0.999193i	$-0.487208\pi$
$509$	−21.1365	−	17.7357i	−0.936860	−	0.786119i	−0.977036	+	0.213074i	$0.931653\pi$
$510$	−26.0087	−	17.4131i	−1.15169	−	0.771066i
$511$	5.40025	−	13.2501i	0.238893	−	0.586149i
$512$		−	1.00000i		−	0.0441942i
$513$	−6.17836	+	30.6188i	−0.272781	+	1.35185i
$514$	−5.29883	+	3.05928i	−0.233722	+	0.134939i
$515$	11.1646	−	30.6744i	0.491969	−	1.35167i
$516$	−0.0172675	+	0.0257912i	−0.000760158	+	0.00113539i
$517$	−25.5072	−	4.49761i	−1.12181	−	0.197805i
$518$	20.7973	−	22.9571i	0.913780	−	1.00868i
$519$	2.94183	+	27.0920i	0.129132	+	1.18921i
$520$	−1.12995	−	0.411266i	−0.0495514	−	0.0180352i
$521$	9.17371	−	15.8893i	0.401908	−	0.696124i	−0.592049	−	0.805902i	$-0.701681\pi$
$521$	9.17371	−	15.8893i	0.401908	−	0.696124i	0.993956	+	0.109778i	$0.0350140\pi$
$522$	2.94322	−	9.27515i	0.128821	−	0.405962i
$523$	−23.8412	+	13.7647i	−1.04250	+	0.601890i	−0.920542	−	0.390644i	$-0.872252\pi$
$523$	−23.8412	+	13.7647i	−1.04250	+	0.601890i	−0.121963	+	0.992535i	$0.538919\pi$
$524$	−5.74678	−	2.09166i	−0.251049	−	0.0913744i
$525$	−34.2195	−	35.4066i	−1.49346	−	1.54527i
$526$	8.75508	+	7.34638i	0.381740	+	0.320318i
$527$	0.788713	+	2.16697i	0.0343569	+	0.0943948i
$528$	−2.78398	−	9.58420i	−0.121157	−	0.417099i
$529$	3.44265	+	19.5243i	0.149681	+	0.848881i
$530$	21.8184	+	37.7906i	0.947731	+	1.64152i
$531$	3.22793	−	10.1724i	0.140080	−	0.441444i
$532$	14.0655	−	7.42404i	0.609817	−	0.321873i
$533$	−1.63123	+	0.287630i	−0.0706565	+	0.0124587i
$534$	7.57139	−	17.1644i	0.327646	−	0.742778i
$535$	24.9929	−	29.7853i	1.08054	−	1.28773i
$536$	1.19754	+	3.29020i	0.0517257	+	0.142115i
$537$	11.4652	+	7.67607i	0.494760	+	0.331247i
$538$	10.8918	+	12.9804i	0.469580	+	0.559623i
$539$	−36.3597	+	17.4612i	−1.56612	+	0.752107i
$540$	0.506683	−	20.6122i	0.0218042	−	0.887006i
$541$	−7.59682	+	13.1581i	−0.326613	+	0.565710i	−0.981837	−	0.189724i	$-0.939241\pi$
$541$	−7.59682	+	13.1581i	−0.326613	+	0.565710i	0.655225	+	0.755434i	$0.272574\pi$
$542$	20.7647	+	7.55774i	0.891921	+	0.324633i
$543$	0.366697	−	5.51694i	0.0157365	−	0.236754i
$544$	−2.92735	+	3.48867i	−0.125509	+	0.149576i
$545$	43.5739	−	15.8596i	1.86650	−	0.679350i
$546$	−1.15097	+	0.777018i	−0.0492569	+	0.0332533i
$547$	−4.60165	−	26.0973i	−0.196752	−	1.11584i	−0.909901	−	0.414825i	$-0.863843\pi$
$547$	−4.60165	−	26.0973i	−0.196752	−	1.11584i	0.713149	−	0.701013i	$-0.247268\pi$
$548$			16.1119i			0.688265i
$549$	27.9728	−	1.16975i	1.19385	−	0.0499238i
$550$	−61.9151			−2.64007
$551$	14.9369	−	12.5335i	0.636332	−	0.533946i
$552$	2.22728	+	2.13609i	0.0947993	+	0.0909179i
$553$	−1.21905	+	0.392003i	−0.0518392	+	0.0166697i
$554$	2.08324	−	2.48270i	0.0885082	−	0.105480i
$555$	19.1978	−	78.1436i	0.814903	−	3.31701i
$556$	8.00330	−	1.41120i	0.339415	−	0.0598481i
$557$			43.1142i			1.82681i	0.407056	+	0.913403i	$0.366555\pi$
$557$			43.1142i			1.82681i	−0.407056	+	0.913403i	$0.633445\pi$
$558$	−0.926977	+	1.20347i	−0.0392421	+	0.0509469i
$559$	0.00470285	−	0.00271519i	0.000198909	−	0.000114840i
$560$	−8.29242	+	6.43828i	−0.350419	+	0.272067i
$561$	−18.3439	+	41.5858i	−0.774480	+	1.75576i
$562$	3.37108	−	19.1183i	0.142200	−	0.806458i
$563$	41.4592	−	15.0899i	1.74730	−	0.635964i	0.747692	−	0.664046i	$-0.231162\pi$
$563$	41.4592	−	15.0899i	1.74730	−	0.635964i	0.999606	+	0.0280816i	$0.00893982\pi$
$564$	−4.33135	+	6.46943i	−0.182383	+	0.272412i
$565$	30.3030	−	5.34323i	1.27486	−	0.224792i
$566$	4.47633			0.188154
$567$	−18.9202	−	14.4577i	−0.794575	−	0.607166i
$568$	2.34388			0.0983469
$569$	−21.0152	+	3.70555i	−0.881004	+	0.155345i	−0.595810	−	0.803125i	$-0.703169\pi$
$569$	−21.0152	+	3.70555i	−0.881004	+	0.155345i	−0.285193	+	0.958470i	$0.592058\pi$
$570$	22.9849	−	34.3309i	0.962731	−	1.43796i
$571$	−26.9859	+	9.82208i	−1.12933	+	0.411041i	−0.838048	−	0.545597i	$-0.816303\pi$
$571$	−26.9859	+	9.82208i	−1.12933	+	0.411041i	−0.291279	+	0.956638i	$0.594081\pi$
$572$	−0.303218	+	1.71963i	−0.0126782	+	0.0719014i
$573$	−3.35725	+	7.61092i	−0.140251	+	0.317951i
$574$	−5.45810	+	13.3920i	−0.227816	+	0.558971i
$575$	16.5799	−	9.57242i	0.691431	−	0.399198i
$576$	−2.97361	−	0.397051i	−0.123900	−	0.0165438i
$577$			11.6907i			0.486690i	0.969940	+	0.243345i	$0.0782447\pi$
$577$			11.6907i			0.486690i	−0.969940	+	0.243345i	$0.921755\pi$
$578$	3.68338	−	0.649479i	0.153208	−	0.0270148i
$579$	3.64426	−	14.8337i	0.151450	−	0.616468i
$580$	−8.27320	+	9.85961i	−0.343526	+	0.409398i
$581$	−7.10972	−	6.44083i	−0.294961	−	0.267211i
$582$	−11.4174	−	10.9499i	−0.473266	−	0.453888i
$583$	48.5422	−	40.7317i	2.01041	−	1.68694i
$584$	−5.40803			−0.223786
$585$	−1.67159	+	3.19672i	−0.0691118	+	0.132168i
$586$			16.2820i			0.672603i
$587$	−4.24157	−	24.0552i	−0.175068	−	0.992863i	−0.938065	−	0.346460i	$-0.887384\pi$
$587$	−4.24157	−	24.0552i	−0.175068	−	0.992863i	0.762996	−	0.646403i	$-0.223727\pi$
$588$	0.391245	+	12.1180i	0.0161347	+	0.499740i
$589$	−2.86035	+	1.04108i	−0.117859	+	0.0428970i
$590$	−9.07350	+	10.8134i	−0.373550	+	0.445180i
$591$	−0.791203	+	11.9036i	−0.0325457	+	0.489648i
$592$	−11.0020	−	4.00440i	−0.452179	−	0.164580i
$593$	7.21767	−	12.5014i	0.296394	−	0.513370i	−0.678914	−	0.734218i	$-0.737549\pi$
$593$	7.21767	−	12.5014i	0.296394	−	0.513370i	0.975308	+	0.220848i	$0.0708824\pi$
$594$	−29.6051	+	4.47304i	−1.21471	+	0.183531i
$595$	47.7766	+	1.81371i	1.95865	+	0.0743548i
$596$	9.44418	+	11.2551i	0.386849	+	0.461028i
$597$	29.0979	+	19.4813i	1.19090	+	0.797318i
$598$	−0.184668	−	0.507371i	−0.00755163	−	0.0207479i
$599$	−1.86194	+	2.21897i	−0.0760766	+	0.0906646i	−0.802740	−	0.596329i	$-0.796625\pi$
$599$	−1.86194	+	2.21897i	−0.0760766	+	0.0906646i	0.726664	+	0.686993i	$0.241070\pi$
$600$	−7.51122	+	17.0280i	−0.306644	+	0.695166i
$601$	36.4748	−	6.43149i	1.48784	−	0.262346i	0.630132	−	0.776488i	$-0.283001\pi$
$601$	36.4748	−	6.43149i	1.48784	−	0.262346i	0.857705	+	0.514142i	$0.171890\pi$
$602$	0.00179854	−	0.0473771i	7.33030e−5	−	0.00193095i
$603$	10.2593	−	2.25462i	0.417789	−	0.0918154i
$604$	1.77428	+	3.07315i	0.0721945	+	0.125045i
$605$	15.2984	+	86.7613i	0.621967	+	3.52735i
$606$	2.80240	+	9.64763i	0.113840	+	0.391908i
$607$	−10.0319	−	27.5625i	−0.407183	−	1.11873i	−0.958664	−	0.284540i	$-0.908159\pi$
$607$	−10.0319	−	27.5625i	−0.407183	−	1.11873i	0.551481	−	0.834188i	$-0.314063\pi$
$608$	−4.60496	−	3.86402i	−0.186756	−	0.156707i
$609$	3.60184	+	14.4212i	0.145954	+	0.584378i
$610$	−34.7979	−	12.6654i	−1.40893	−	0.512807i
$611$	1.17966	−	0.681075i	0.0477238	−	0.0275533i
$612$	9.21165	+	10.0900i	0.372359	+	0.407863i
$613$	16.7770	−	29.0586i	0.677615	−	1.17366i	−0.298082	−	0.954540i	$-0.596347\pi$
$613$	16.7770	−	29.0586i	0.677615	−	1.17366i	0.975697	−	0.219124i	$-0.0703198\pi$
$614$	10.8403	+	3.94553i	0.437477	+	0.159229i
$615$	4.05537	+	37.3468i	0.163528	+	1.50597i
$616$	11.2984	+	10.2354i	0.455225	+	0.412397i
$617$	−34.3966	−	6.06504i	−1.38475	−	0.244169i	−0.568890	−	0.822414i	$-0.692627\pi$
$617$	−34.3966	−	6.06504i	−1.38475	−	0.244169i	−0.815864	+	0.578244i	$0.803738\pi$
$618$	−7.92709	+	11.8401i	−0.318874	+	0.476280i
$619$	−11.6060	+	31.8872i	−0.466484	+	1.28165i	0.454044	+	0.890979i	$0.349981\pi$
$619$	−11.6060	+	31.8872i	−0.466484	+	1.28165i	−0.920528	+	0.390675i	$0.872241\pi$
$620$	1.74006	−	1.00462i	0.0698825	−	0.0403467i
$621$	7.23623	−	5.77492i	0.290380	−	0.231740i
$622$		−	8.13604i		−	0.326225i
$623$	3.90202	+	28.3897i	0.156331	+	1.13741i
$624$	0.436153	+	0.292009i	0.0174601	+	0.0116897i
$625$	28.1382	+	23.6108i	1.12553	+	0.944432i
$626$	−16.8013	−	14.0979i	−0.671514	−	0.563467i
$627$	−54.8923	−	24.2135i	−2.19219	−	0.966994i
$628$	3.78735	−	10.4057i	0.151132	−	0.415231i
$629$	26.6601	+	46.1767i	1.06301	+	1.84119i
$630$	15.8524	+	27.2148i	0.631576	+	1.08426i
$631$	23.1507	−	40.0983i	0.921617	−	1.59629i	0.124703	−	0.992194i	$-0.460202\pi$
$631$	23.1507	−	40.0983i	0.921617	−	1.59629i	0.796914	−	0.604093i	$-0.206464\pi$
$632$	0.311105	+	0.370760i	0.0123751	+	0.0147481i
$633$	5.29437	−	21.5504i	0.210432	−	0.856552i
$634$	−0.879931	+	4.99034i	−0.0349465	+	0.198192i
$635$	9.64339	−	3.50991i	0.382686	−	0.139286i
$636$	−5.31325	−	18.2916i	−0.210684	−	0.725307i
$637$	0.874556	−	1.93260i	0.0346512	−	0.0765725i
$638$	16.1864	+	9.34520i	0.640824	+	0.369980i
$639$	0.930639	−	6.96977i	0.0368155	−	0.275720i
$640$	3.43640	+	1.98401i	0.135836	+	0.0784247i
$641$	−14.0592	−	16.7551i	−0.555304	−	0.661785i	0.413242	−	0.910621i	$-0.364396\pi$
$641$	−14.0592	−	16.7551i	−0.555304	−	0.661785i	−0.968546	+	0.248836i	$0.919952\pi$
$642$	−13.6963	+	10.0232i	−0.540550	+	0.395584i
$643$	−7.20350	−	19.7914i	−0.284078	−	0.780498i	−0.996865	−	0.0791179i	$-0.974790\pi$
$643$	−7.20350	−	19.7914i	−0.284078	−	0.780498i	0.712787	−	0.701380i	$-0.247433\pi$
$644$	−4.60799	−	0.994098i	−0.181580	−	0.0391729i
$645$	−0.0543701	−	0.110508i	−0.00214082	−	0.00435124i
$646$	4.75389	+	26.9606i	0.187039	+	1.06075i
$647$	−18.7748	−	32.5189i	−0.738113	−	1.27845i	−0.953344	−	0.301885i	$-0.902384\pi$
$647$	−18.7748	−	32.5189i	−0.738113	−	1.27845i	0.215232	−	0.976563i	$-0.430949\pi$
$648$	−2.36135	+	8.68470i	−0.0927626	+	0.341167i
$649$	17.7521	+	10.2492i	0.696832	+	0.402316i
$650$	2.49439	−	2.09304i	0.0978379	−	0.0820957i
$651$	0.241616	−	2.30783i	0.00946966	−	0.0904509i
$652$	−1.99167	+	11.2953i	−0.0779998	+	0.442359i
$653$	9.70142	+	1.71062i	0.379646	+	0.0669418i	0.360215	−	0.932869i	$-0.382703\pi$
$653$	9.70142	+	1.71062i	0.379646	+	0.0669418i	0.0194310	+	0.999811i	$0.493815\pi$
$654$	−20.1225	+	2.18504i	−0.786853	+	0.0854419i
$655$	18.5894	−	15.5984i	0.726348	−	0.609479i
$656$	5.46595			0.213410
$657$	−2.14726	+	16.0814i	−0.0837727	+	0.627394i
$658$	0.451143	−	11.8840i	0.0175874	−	0.463286i
$659$	−11.7729	+	32.3458i	−0.458608	+	1.26001i	0.467914	+	0.883774i	$0.345006\pi$
$659$	−11.7729	+	32.3458i	−0.458608	+	1.26001i	−0.926522	+	0.376241i	$0.877217\pi$
$660$	38.4586	+	9.44826i	1.49700	+	0.367773i
$661$	−17.2433	−	3.04045i	−0.670686	−	0.118260i	−0.172072	−	0.985084i	$-0.555046\pi$
$661$	−17.2433	−	3.04045i	−0.670686	−	0.118260i	−0.498614	+	0.866824i	$0.666157\pi$
$662$	28.3196	+	4.99350i	1.10067	+	0.194078i
$663$	−0.666784	−	2.29549i	−0.0258958	−	0.0891495i
$664$	−1.24015	+	3.40728i	−0.0481271	+	0.132228i
$665$	−2.39405	+	63.0640i	−0.0928373	+	2.44552i
$666$	−16.2759	+	31.1257i	−0.630677	+	1.20610i
$667$	−5.77928			−0.223775
$668$	8.71875	−	7.31590i	0.337339	−	0.283061i
$669$	0.0612027	−	0.138747i	0.00236623	−	0.00536428i
$670$	−13.6824	−	2.41257i	−0.528596	−	0.0932057i
$671$	−9.33792	+	52.9580i	−0.360486	+	2.04442i
$672$	4.18563	−	1.86560i	0.161464	−	0.0719671i
$673$	6.84412	−	5.74290i	0.263821	−	0.221372i	−0.501275	−	0.865288i	$-0.667136\pi$
$673$	6.84412	−	5.74290i	0.263821	−	0.221372i	0.765097	+	0.643915i	$0.222691\pi$
$674$	6.28054	+	3.62607i	0.241917	+	0.139671i
$675$	47.6524	+	29.0964i	1.83414	+	1.11992i
$676$	6.45408	+	11.1788i	0.248234	+	0.429954i
$677$	−7.59826	−	43.0919i	−0.292025	−	1.65616i	−0.679054	−	0.734088i	$-0.737610\pi$
$677$	−7.59826	−	43.0919i	−0.292025	−	1.65616i	0.387029	−	0.922068i	$-0.373501\pi$
$678$	−13.4018	−	0.890787i	−0.514695	−	0.0342105i
$679$	23.6213	+	5.09590i	0.906502	+	0.195563i
$680$	−6.18061	−	16.9811i	−0.237015	−	0.651195i
$681$	9.15056	+	4.03639i	0.350650	+	0.154675i
$682$	−1.87549	−	2.23512i	−0.0718161	−	0.0855871i
$683$	21.5804	+	12.4594i	0.825751	+	0.476748i	0.852396	−	0.522897i	$-0.175149\pi$
$683$	21.5804	+	12.4594i	0.825751	+	0.476748i	−0.0266446	+	0.999645i	$0.508482\pi$
$684$	−13.3185	+	12.1592i	−0.509246	+	0.464917i
$685$	−55.3668	−	31.9660i	−2.11546	−	1.22136i
$686$	−10.2161	−	15.4477i	−0.390051	−	0.589797i
$687$	14.0195	+	3.44422i	0.534877	+	0.131405i
$688$	−0.0168391	+	0.00612892i	−0.000641983	+	0.000233663i
$689$	−0.578694	+	3.28194i	−0.0220465	+	0.125032i
$690$	−11.7594	+	3.41581i	−0.447672	+	0.130038i
$691$	25.7434	+	30.6798i	0.979324	+	1.16711i	0.985934	+	0.167135i	$0.0534516\pi$
$691$	25.7434	+	30.6798i	0.979324	+	1.16711i	−0.00660985	+	0.999978i	$0.502104\pi$
$692$	−7.86676	+	13.6256i	−0.299049	+	0.517969i
$693$	34.9222	−	29.5330i	1.32658	−	1.12187i
$694$	2.94783	+	5.10579i	0.111898	+	0.193813i
$695$	−11.0291	+	30.3023i	−0.418359	+	1.14943i
$696$	4.53378	−	3.31790i	0.171853	−	0.125765i
$697$	−19.0689	−	16.0007i	−0.722287	−	0.606071i
$698$	−9.72264	−	8.15826i	−0.368007	−	0.308795i
$699$	2.52550	−	37.9960i	0.0955232	−	1.43714i
$700$	−3.87101	−	28.1641i	−0.146310	−	1.06450i
$701$			1.67352i			0.0632079i	0.999500	+	0.0316039i	$0.0100615\pi$
$701$			1.67352i			0.0632079i	−0.999500	+	0.0316039i	$0.989938\pi$
$702$	1.04149	−	1.18100i	0.0393087	−	0.0445742i
$703$	−60.9521	+	35.1907i	−2.29885	+	1.32724i
$704$	1.97078	−	5.41466i	0.0742764	−	0.204073i
$705$	−13.6381	−	27.7196i	−0.513641	−	1.04398i
$706$	−8.94975	−	1.57808i	−0.336828	−	0.0593919i
$707$	−11.3732	−	10.3032i	−0.427731	−	0.387490i
$708$	4.97236	−	3.63885i	0.186873	−	0.136757i
$709$	−9.24881	−	3.36629i	−0.347347	−	0.126424i	0.162455	−	0.986716i	$-0.448059\pi$
$709$	−9.24881	−	3.36629i	−0.347347	−	0.126424i	−0.509801	+	0.860292i	$0.670281\pi$
$710$	−4.65026	+	8.05449i	−0.174521	+	0.302280i
$711$	1.22602	−	0.777894i	0.0459794	−	0.0291733i
$712$	9.38008	−	5.41559i	0.351533	−	0.202958i
$713$	0.847789	+	0.308570i	0.0317499	+	0.0115560i
$714$	−20.0636	−	5.74433i	−0.750860	−	0.214976i
$715$	−5.30776	−	4.45374i	−0.198499	−	0.166560i
$716$	2.72454	+	7.48562i	0.101821	+	0.279751i
$717$	−23.4262	+	24.4263i	−0.874867	+	0.912216i
$718$	−0.00872634	−	0.0494895i	−0.000325664	−	0.00184693i
$719$	−5.79474	−	10.0368i	−0.216107	−	0.374309i	0.737507	−	0.675339i	$-0.236003\pi$
$719$	−5.79474	−	10.0368i	−0.216107	−	0.374309i	−0.953615	+	0.301030i	$0.902669\pi$
$720$	7.26408	−	9.43075i	0.270716	−	0.351463i
$721$	0.825667	−	21.7497i	0.0307494	−	0.810001i
$722$	−16.8760	+	2.97570i	−0.628061	+	0.110744i
$723$	−24.8918	−	34.0137i	−0.925736	−	1.26498i
$724$	2.05193	−	2.44539i	0.0762593	−	0.0908823i
$725$	−11.9205	−	32.7514i	−0.442717	−	1.21636i
$726$	2.55044	−	38.3712i	0.0946557	−	1.42409i
$727$	−5.98325	−	7.13056i	−0.221906	−	0.264458i	0.643593	−	0.765368i	$-0.277443\pi$
$727$	−5.98325	−	7.13056i	−0.221906	−	0.264458i	−0.865499	+	0.500910i	$0.832999\pi$
$728$	−0.801189	−	0.0304149i	−0.0296940	−	0.00112725i
$729$	24.8873	+	10.4700i	0.921753	+	0.387778i
$730$	10.7296	−	18.5841i	0.397119	−	0.687830i
$731$	0.0766874	+	0.0279119i	0.00283639	+	0.00103236i
$732$	13.4318	+	8.99273i	0.496454	+	0.332381i
$733$	4.58949	−	5.46954i	0.169517	−	0.202022i	−0.674597	−	0.738186i	$-0.735683\pi$
$733$	4.58949	−	5.46954i	0.169517	−	0.202022i	0.844114	+	0.536164i	$0.180127\pi$
$734$	−2.57134	+	0.935891i	−0.0949099	+	0.0345444i
$735$	−42.4187	−	22.6978i	−1.56464	−	0.837220i
$736$	0.309394	+	1.75466i	0.0114044	+	0.0646775i
$737$			20.1754i			0.743170i
$738$	2.17026	−	16.2536i	0.0798885	−	0.598303i
$739$	−29.0412			−1.06830			−0.534150	−	0.845390i	$-0.679368\pi$
$739$	−29.0412			−1.06830			−0.534150	+	0.845390i	$0.679368\pi$
$740$	35.5887	−	29.8625i	1.30827	−	1.09777i
$741$	3.02999	−	0.880139i	0.111310	−	0.0323327i
$742$	21.5631	+	19.5344i	0.791606	+	0.717131i
$743$	−23.3016	+	27.7697i	−0.854852	+	1.01877i	0.144719	+	0.989473i	$0.453772\pi$
$743$	−23.3016	+	27.7697i	−0.854852	+	1.01877i	−0.999571	+	0.0293001i	$0.990672\pi$
$744$	−0.842232	+	0.244648i	−0.0308777	+	0.00896922i
$745$	−57.4145	+	10.1237i	−2.10350	+	0.370904i
$746$			0.897447i			0.0328579i
$747$	9.63951	+	5.04058i	0.352691	+	0.184425i
$748$	−22.7260	+	13.1208i	−0.830944	+	0.479746i
$749$	9.78478	−	24.0080i	0.357528	−	0.877232i
$750$	−23.3185	−	31.8639i	−0.851473	−	1.16351i
$751$	−5.26533	+	29.8612i	−0.192135	+	1.08965i	0.724306	+	0.689478i	$0.242160\pi$
$751$	−5.26533	+	29.8612i	−0.192135	+	1.08965i	−0.916441	+	0.400171i	$0.868951\pi$
$752$	−4.22388	+	1.53737i	−0.154029	+	0.0560621i
$753$	5.32414	+	0.353883i	0.194023	+	0.0128962i
$754$	−0.968017	+	0.170688i	−0.0352531	+	0.00621608i
$755$	−14.0807			−0.512451
$756$	−3.88566	−	13.1872i	−0.141320	−	0.479613i
$757$	24.0775			0.875111			0.437555	−	0.899191i	$-0.355844\pi$
$757$	24.0775			0.875111			0.437555	+	0.899191i	$0.355844\pi$
$758$	10.3774	−	1.82981i	0.376923	−	0.0664618i
$759$	7.85022	+	15.9557i	0.284945	+	0.579154i
$760$	22.4146	−	8.15825i	0.813063	−	0.295931i
$761$	3.55899	−	20.1841i	0.129013	−	0.731671i	−0.849829	−	0.527058i	$-0.823295\pi$
$761$	3.55899	−	20.1841i	0.129013	−	0.731671i	0.978843	−	0.204614i	$-0.0655938\pi$
$762$	−4.45334	+	0.483574i	−0.161328	+	0.0175180i
$763$	24.4217	−	18.9611i	0.884125	−	0.686440i
$764$	−4.15924	+	2.40134i	−0.150476	+	0.0868775i
$765$	−52.9491	+	11.6364i	−1.91438	+	0.420713i
$766$			34.2189i			1.23638i
$767$	−1.06166	+	0.187199i	−0.0383343	+	0.00675936i
$768$	−1.25007	−	1.19889i	−0.0451080	−	0.0432611i
$769$	−9.85756	+	11.7478i	−0.355473	+	0.423636i	−0.913914	−	0.405908i	$-0.866955\pi$
$769$	−9.85756	+	11.7478i	−0.355473	+	0.423636i	0.558441	+	0.829544i	$0.311400\pi$
$770$	−57.5891	+	18.5186i	−2.07537	+	0.667365i
$771$	−2.52839	+	10.2916i	−0.0910576	+	0.370644i
$772$	6.75568	−	5.66869i	0.243142	−	0.204021i
$773$	−34.8096			−1.25201			−0.626007	−	0.779818i	$-0.715312\pi$
$773$	−34.8096			−1.25201			−0.626007	+	0.779818i	$0.715312\pi$
$774$	0.0115390	+	0.0525063i	0.000414762	+	0.00188730i
$775$			5.44091i			0.195443i
$776$	−1.58600	−	8.99464i	−0.0569340	−	0.322889i
$777$	−3.76438	−	53.5210i	−0.135046	−	1.92005i
$778$	−30.7697	+	11.1993i	−1.10315	+	0.401513i
$779$	21.1206	−	25.1705i	0.756723	−	0.901827i
$780$	−1.86879	+	0.919447i	−0.0669133	+	0.0329215i
$781$	12.6913	+	4.61925i	0.454130	+	0.165290i
$782$	4.05712	−	7.02713i	0.145082	−	0.251290i
$783$	−8.06599	−	14.7991i	−0.288255	−	0.528876i
$784$	−3.94953	+	5.77938i	−0.141055	+	0.206406i
$785$	28.2439	+	33.6597i	1.00807	+	1.20137i
$786$	−9.50445	+	4.67621i	−0.339012	+	0.166795i
$787$	5.43531	+	14.9334i	0.193748	+	0.532318i	0.998085	−	0.0618552i	$-0.0197017\pi$
$787$	5.43531	+	14.9334i	0.193748	+	0.532318i	−0.804337	+	0.594173i	$0.797479\pi$
$788$	−4.42733	+	5.27629i	−0.157717	+	0.187960i
$789$	19.6798	−	2.13697i	0.700620	−	0.0760781i
$790$	−1.89131	+	0.333490i	−0.0672899	+	0.0118650i
$791$	18.1445	−	9.57700i	0.645142	−	0.340519i
$792$	−15.3186	−	8.01021i	−0.544322	−	0.284630i
$793$	−1.41404	−	2.44920i	−0.0502142	−	0.0869735i
$794$	−2.70248	−	15.3265i	−0.0959075	−	0.543919i
$795$	73.3986	+	18.0321i	2.60318	+	0.639533i
$796$	6.91470	+	18.9980i	0.245085	+	0.673366i
$797$	−42.1590	−	35.3756i	−1.49335	−	1.25307i	−0.890311	−	0.455352i	$-0.849513\pi$
$797$	−42.1590	−	35.3756i	−1.49335	−	1.25307i	−0.603035	−	0.797714i	$-0.706042\pi$
$798$	7.58237	−	26.4834i	0.268413	−	0.937503i
$799$	19.2362	+	7.00139i	0.680527	+	0.247691i
$800$	−9.30554	+	5.37256i	−0.329001	+	0.189949i
$801$	−12.3795	−	30.0430i	−0.437408	−	1.06152i
$802$	4.36920	−	7.56767i	0.154282	−	0.267224i
$803$	−29.2826	−	10.6580i	−1.03336	−	0.376113i
$804$	5.54869	+	2.44758i	0.195687	+	0.0863194i
$805$	12.5584	−	13.8626i	0.442626	−	0.488593i
$806$	0.151116	+	0.0266459i	0.00532284	+	0.000938561i
$807$	29.2844	+	1.94646i	1.03086	+	0.0685187i
$808$	−1.98382	+	5.45049i	−0.0697904	+	0.191748i
$809$	5.57736	−	3.22009i	0.196089	−	0.113212i	−0.398741	−	0.917064i	$-0.630553\pi$
$809$	5.57736	−	3.22009i	0.196089	−	0.113212i	0.594830	+	0.803851i	$0.297219\pi$
$810$	−25.1592	−	25.3450i	−0.884003	−	0.890534i
$811$		−	22.4478i		−	0.788248i	−0.919057	−	0.394124i	$-0.871048\pi$
$811$		−	22.4478i		−	0.788248i	0.919057	−	0.394124i	$-0.128952\pi$
$812$	−3.23898	+	7.94717i	−0.113666	+	0.278891i
$813$	34.3422	−	16.8965i	1.20444	−	0.592585i
$814$	−51.6803	−	43.3649i	−1.81139	−	1.51994i
$815$	−34.8637	−	29.2542i	−1.22122	−	1.02473i
$816$	0.851528	+	7.84191i	0.0298094	+	0.274522i
$817$	−0.0368431	+	0.101226i	−0.00128898	+	0.00354143i
$818$	−9.55946	−	16.5575i	−0.334239	−	0.578919i
$819$	−0.408555	+	2.37035i	−0.0142761	+	0.0828266i
$820$	−10.8445	+	18.7832i	−0.378706	+	0.655937i
$821$	−28.5678	−	34.0458i	−0.997023	−	1.18821i	−0.982108	−	0.188316i	$-0.939697\pi$
$821$	−28.5678	−	34.0458i	−0.997023	−	1.18821i	−0.0149141	−	0.999889i	$-0.504747\pi$
$822$	20.1409	+	19.3163i	0.702496	+	0.673733i
$823$	−8.82647	+	50.0574i	−0.307671	+	1.74489i	0.302985	+	0.952995i	$0.402017\pi$
$823$	−8.82647	+	50.0574i	−0.307671	+	1.74489i	−0.610656	+	0.791896i	$0.709094\pi$
$824$	−7.73041	+	2.81364i	−0.269302	+	0.0980178i
$825$	−74.2291	+	77.3981i	−2.58433	+	2.69466i
$826$	−3.55230	+	8.71594i	−0.123600	+	0.303266i
$827$	−11.5136	−	6.64739i	−0.400368	−	0.231153i	0.286275	−	0.958148i	$-0.407583\pi$
$827$	−11.5136	−	6.64739i	−0.400368	−	0.231153i	−0.686643	+	0.726995i	$0.740916\pi$
$828$	5.34051	−	0.223327i	0.185596	−	0.00776114i
$829$	−21.2975	−	12.2961i	−0.739693	−	0.427062i	0.0822649	−	0.996610i	$-0.473785\pi$
$829$	−21.2975	−	12.2961i	−0.739693	−	0.427062i	−0.821958	+	0.569549i	$0.807118\pi$
$830$	−9.24830	−	11.0217i	−0.321013	−	0.382569i
$831$	−0.605987	−	5.58067i	−0.0210215	−	0.193591i
$832$	0.103645	+	0.284764i	0.00359326	+	0.00987240i
$833$	30.6969	−	8.60072i	1.06358	−	0.297997i
$834$	7.83095	−	11.6965i	0.271164	−	0.405018i
$835$	7.84230	+	44.4759i	0.271394	+	1.53915i
$836$	−17.3192	−	29.9977i	−0.598997	−	1.03749i
$837$	0.393077	+	2.60161i	0.0135867	+	0.0899246i
$838$	−14.6363	−	8.45025i	−0.505601	−	0.291909i
$839$	35.0959	−	29.4490i	1.21165	−	1.01669i	0.212426	−	0.977177i	$-0.431863\pi$
$839$	35.0959	−	29.4490i	1.21165	−	1.01669i	0.999219	−	0.0395141i	$-0.0125810\pi$
$840$	−1.89338	+	18.0849i	−0.0653277	+	0.623987i
$841$	3.20881	−	18.1980i	0.110649	−	0.627519i
$842$	14.6741	+	2.58743i	0.505702	+	0.0891688i
$843$	−19.8577	−	27.1348i	−0.683935	−	0.934572i
$844$	9.81465	−	8.23547i	0.337834	−	0.283476i
$845$	−51.2198			−1.76201
$846$	2.89443	+	13.1706i	0.0995127	+	0.452814i
$847$	27.4202	+	51.9499i	0.942168	+	1.78502i
$848$	3.76125	−	10.3339i	0.129162	−	0.354869i
$849$	5.36662	−	5.59572i	0.184182	−	0.192045i
$850$	48.1913	+	8.49743i	1.65295	+	0.291459i
$851$	20.5437	+	3.62241i	0.704228	+	0.124174i
$852$	2.81004	−	2.93001i	0.0962704	−	0.100380i
$853$	7.99527	−	21.9668i	0.273753	−	0.752130i	−0.724284	−	0.689502i	$-0.757830\pi$
$853$	7.99527	−	21.9668i	0.273753	−	0.752130i	0.998037	−	0.0626281i	$-0.0199482\pi$
$854$	−24.6735	−	0.936661i	−0.844310	−	0.0320519i
$855$	−15.3597	−	69.8915i	−0.525291	−	2.39024i
$856$	−9.79887			−0.334918
$857$	−10.3160	+	8.65619i	−0.352389	+	0.295690i	−0.801749	−	0.597661i	$-0.796097\pi$
$857$	−10.3160	+	8.65619i	−0.352389	+	0.295690i	0.449359	+	0.893351i	$0.351652\pi$
$858$	1.78613	+	2.44069i	0.0609776	+	0.0833237i
$859$	−15.1984	−	2.67988i	−0.518562	−	0.0914364i	−0.0917590	−	0.995781i	$-0.529249\pi$
$859$	−15.1984	−	2.67988i	−0.518562	−	0.0914364i	−0.426803	+	0.904345i	$0.640360\pi$
$860$	0.0123474	−	0.0700255i	0.000421042	−	0.00238785i
$861$	10.1973	+	22.8785i	0.347522	+	0.779696i
$862$	−9.10230	+	7.63774i	−0.310026	+	0.260142i
$863$	7.32876	+	4.23126i	0.249474	+	0.144034i	0.619523	−	0.784978i	$-0.287326\pi$
$863$	7.32876	+	4.23126i	0.249474	+	0.144034i	−0.370049	+	0.929012i	$0.620659\pi$
$864$	−4.06136	+	3.24120i	−0.138170	+	0.110268i
$865$	−31.2154	−	54.0666i	−1.06136	−	1.83832i
$866$	−1.88667	−	10.6998i	−0.0641115	−	0.363595i
$867$	3.60406	−	5.38313i	0.122400	−	0.182821i
$868$	0.899459	−	0.992869i	0.0305296	−	0.0337002i
$869$	0.953842	+	2.62066i	0.0323569	+	0.0888998i
$870$	2.40657	+	22.1626i	0.0815903	+	0.751383i
$871$	−0.682029	−	0.812811i	−0.0231097	−	0.0275410i
$872$	−10.1204	−	5.84302i	−0.342720	−	0.197870i
$873$	−27.3763	+	1.14481i	−0.926547	+	0.0387458i
$874$	9.27564	+	5.35529i	0.313753	+	0.181146i
$875$	55.8536	+	22.7639i	1.88820	+	0.769560i
$876$	−6.48361	+	6.76040i	−0.219061	+	0.228413i
$877$	−3.73107	+	1.35800i	−0.125989	+	0.0458563i	−0.404245	−	0.914651i	$-0.632466\pi$
$877$	−3.73107	+	1.35800i	−0.125989	+	0.0458563i	0.278256	+	0.960507i	$0.410244\pi$
$878$	−1.31180	+	7.43959i	−0.0442711	+	0.251074i
$879$	20.3536	+	19.5203i	0.686510	+	0.658402i
$880$	14.6969	+	17.5151i	0.495432	+	0.590433i
$881$	−19.9849	+	34.6148i	−0.673308	+	1.16620i	0.303653	+	0.952783i	$0.401794\pi$
$881$	−19.9849	+	34.6148i	−0.673308	+	1.16620i	−0.976960	+	0.213421i	$0.931540\pi$
$882$	15.6174	+	14.0391i	0.525867	+	0.472720i
$883$	−11.7028	−	20.2698i	−0.393830	−	0.682133i	0.599121	−	0.800658i	$-0.295517\pi$
$883$	−11.7028	−	20.2698i	−0.393830	−	0.682133i	−0.992951	+	0.118525i	$0.962183\pi$
$884$	0.472016	−	1.29685i	0.0158756	−	0.0436179i
$885$	2.63937	+	24.3065i	0.0887213	+	0.817054i
$886$	30.4048	+	25.5127i	1.02147	+	0.857115i
$887$	42.4022	+	35.5797i	1.42373	+	1.19465i	0.949308	+	0.314349i	$0.101786\pi$
$887$	42.4022	+	35.5797i	1.42373	+	1.19465i	0.474419	+	0.880299i	$0.342658\pi$
$888$	−18.1959	+	8.95243i	−0.610615	+	0.300424i
$889$	5.40480	−	4.19632i	0.181271	−	0.140740i
$890$			42.9783i			1.44063i
$891$	−29.9015	+	42.3710i	−1.00174	+	1.41948i
$892$	0.0758231	−	0.0437765i	0.00253874	−	0.00146574i
$893$	−9.24167	+	25.3913i	−0.309261	+	0.849686i
$894$	25.3922	+	1.68776i	0.849242	+	0.0564470i
$895$	−31.1291	−	5.48890i	−1.04053	−	0.183474i
$896$	2.58625	+	0.557941i	0.0864006	+	0.0186395i
$897$	−0.855644	−	0.377432i	−0.0285691	−	0.0126021i
$898$	−25.2191	−	9.17900i	−0.841572	−	0.306307i
$899$	0.821228	−	1.42241i	0.0273895	−	0.0474400i
$900$	12.2811	+	29.8042i	0.409370	+	0.993474i
$901$	−43.3728	+	25.0413i	−1.44496	+	0.834246i
$902$	29.5963	+	10.7722i	0.985448	+	0.358674i
$903$	−0.0570684	−	0.0590480i	−0.00189912	−	0.00196500i
$904$	−5.94039	−	4.98458i	−0.197574	−	0.165785i
$905$	4.33231	+	11.9029i	0.144011	+	0.395666i
$906$	5.96881	+	1.46638i	0.198300	+	0.0487172i
$907$	−1.40937	−	7.99294i	−0.0467974	−	0.265401i	0.952428	−	0.304765i	$-0.0985780\pi$
$907$	−1.40937	−	7.99294i	−0.0467974	−	0.265401i	−0.999225	+	0.0393638i	$0.987467\pi$
$908$	2.88711	+	5.00063i	0.0958123	+	0.165952i
$909$	15.4200	+	8.06322i	0.511448	+	0.267440i
$910$	1.69408	−	2.69286i	0.0561582	−	0.0892675i
$911$	47.0743	−	8.30046i	1.55964	−	0.275007i	0.673770	−	0.738941i	$-0.264674\pi$
$911$	47.0743	−	8.30046i	1.55964	−	0.275007i	0.885870	+	0.463934i	$0.153563\pi$
$912$	−10.3511	+	1.12400i	−0.342760	+	0.0372192i
$913$	−13.4300	+	16.0052i	−0.444467	+	0.529695i
$914$	13.3605	+	36.7077i	0.441926	+	1.21418i
$915$	−57.5514	+	28.3154i	−1.90259	+	0.936078i
$916$	5.35754	+	6.38486i	0.177018	+	0.210962i
$917$	8.61591	−	13.6956i	0.284523	−	0.452269i
$918$	23.6569	+	0.581527i	0.780793	+	0.0191933i
$919$	8.40838	−	14.5637i	0.277367	−	0.480413i	−0.693363	−	0.720589i	$-0.743872\pi$
$919$	8.40838	−	14.5637i	0.277367	−	0.480413i	0.970730	+	0.240175i	$0.0772049\pi$
$920$	−6.64354	−	2.41805i	−0.219031	−	0.0797208i
$921$	17.9284	−	8.82082i	0.590761	−	0.290656i
$922$	5.54516	−	6.60847i	0.182620	−	0.217638i
$923$	−0.667451	+	0.242932i	−0.0219694	+	0.00799621i
$924$	26.3405	−	1.85265i	0.866538	−	0.0609476i
$925$	21.8458	+	123.893i	0.718284	+	4.07359i
$926$		−	4.62865i		−	0.152107i
$927$	5.29730	+	24.1044i	0.173986	+	0.791692i
$928$	3.24364			0.106478
$929$	40.3714	−	33.8756i	1.32454	−	1.11142i	0.339221	−	0.940707i	$-0.389836\pi$
$929$	40.3714	−	33.8756i	1.32454	−	1.11142i	0.985320	−	0.170716i	$-0.0546080\pi$
$930$	0.830286	−	3.37963i	0.0272261	−	0.110822i
$931$	11.3527	+	40.5191i	0.372071	+	1.32796i
$932$	14.1319	−	16.8418i	0.462907	−	0.551671i
$933$	−10.1706	−	9.75419i	−0.332971	−	0.319338i
$934$	−15.1258	+	2.66709i	−0.494932	+	0.0872698i
$935$		−	104.127i		−	3.40533i
$936$	0.887928	−	0.195135i	0.0290228	−	0.00637820i
$937$	−29.9341	+	17.2825i	−0.977906	+	0.564594i	−0.901637	−	0.432493i	$-0.857634\pi$
$937$	−29.9341	+	17.2825i	−0.977906	+	0.564594i	−0.0762687	+	0.997087i	$0.524301\pi$
$938$	−9.17745	+	1.26139i	−0.299654	+	0.0411859i
$939$	−37.7662	+	4.10091i	−1.23245	+	0.133828i
$940$	3.09720	−	17.5651i	0.101020	−	0.572910i
$941$	−10.8091	+	3.93421i	−0.352368	+	0.128251i	−0.512139	−	0.858903i	$-0.671147\pi$
$941$	−10.8091	+	3.93421i	−0.352368	+	0.128251i	0.159771	+	0.987154i	$0.448924\pi$
$942$	−8.46719	−	17.2097i	−0.275876	−	0.560721i
$943$	−9.59088	+	1.69113i	−0.312322	+	0.0550708i
$944$	3.55741			0.115784
$945$	53.0256	+	12.8108i	1.72492	+	0.416735i
$946$	−0.103256			−0.00335716
$947$	0.483252	−	0.0852104i	0.0157036	−	0.00276897i	−0.165791	−	0.986161i	$-0.553018\pi$
$947$	0.483252	−	0.0852104i	0.0157036	−	0.00276897i	0.181494	+	0.983392i	$0.441907\pi$
$948$	0.836455	+	0.0555971i	0.0271668	+	0.00180571i
$949$	1.54001	−	0.560518i	0.0499908	−	0.0181952i
$950$	−11.2164	+	63.6114i	−0.363908	+	2.06383i
$951$	5.18333	+	7.08282i	0.168081	+	0.229676i
$952$	−7.38931	−	9.51733i	−0.239489	−	0.308458i
$953$	45.2285	−	26.1127i	1.46510	−	0.845873i	0.465856	−	0.884861i	$-0.345746\pi$
$953$	45.2285	−	26.1127i	1.46510	−	0.845873i	0.999240	+	0.0389871i	$0.0124131\pi$
$954$	−29.2357	−	15.2876i	−0.946540	−	0.494953i
$955$		−	19.0571i		−	0.616673i
$956$	−19.2431	+	3.39308i	−0.622366	+	0.109740i
$957$	31.0877	−	9.03022i	1.00492	−	0.291906i
$958$	11.5401	−	13.7530i	0.372844	−	0.444338i
$959$	−41.6694	−	8.98947i	−1.34557	−	0.290285i
$960$	6.59999	−	1.91714i	0.213014	−	0.0618753i
$961$	23.5510	−	19.7616i	0.759708	−	0.637471i
$962$	3.54801			0.114392
$963$	−3.89065	+	29.1380i	−0.125374	+	0.938959i
$964$		−	24.3347i		−	0.783768i
$965$	6.07657	+	34.4619i	0.195612	+	1.10937i
$966$	−6.76715	+	4.56850i	−0.217730	+	0.146989i
$967$	54.2213	−	19.7349i	1.74364	−	0.634633i	0.744194	−	0.667963i	$-0.232834\pi$
$967$	54.2213	−	19.7349i	1.74364	−	0.634633i	0.999444	+	0.0333307i	$0.0106115\pi$
$968$	14.2715	−	17.0081i	0.458703	−	0.546661i
$969$	39.4020	+	26.3801i	1.26578	+	0.847450i
$970$	34.0558	+	12.3953i	1.09347	+	0.397989i
$971$	8.78648	−	15.2186i	0.281972	−	0.488389i	−0.689899	−	0.723906i	$-0.742345\pi$
$971$	8.78648	−	15.2186i	0.281972	−	0.488389i	0.971870	+	0.235517i	$0.0756782\pi$
$972$	8.02548	+	13.3638i	0.257417	+	0.428645i
$973$	−0.815653	+	21.4859i	−0.0261486	+	0.688807i
$974$	4.83840	+	5.76619i	0.155032	+	0.184761i
$975$	0.374044	−	5.62747i	0.0119790	−	0.180223i
$976$	3.19188	+	8.76961i	0.102169	+	0.280708i
$977$	−3.67634	+	4.38129i	−0.117617	+	0.140170i	−0.821640	−	0.570007i	$-0.806941\pi$
$977$	−3.67634	+	4.38129i	−0.117617	+	0.140170i	0.704023	+	0.710177i	$0.251385\pi$
$978$	11.7321	+	16.0315i	0.375153	+	0.512632i
$979$	61.4629	−	10.8376i	1.96436	−	0.346370i
$980$	−12.0243	−	25.0385i	−0.384104	−	0.799825i
$981$	−21.3932	+	27.7742i	−0.683031	+	0.886760i
$982$	21.4537	+	37.1588i	0.684614	+	1.18579i
$983$	−2.11886	−	12.0167i	−0.0675812	−	0.383272i	−0.999773	−	0.0213073i	$-0.993217\pi$
$983$	−2.11886	−	12.0167i	−0.0675812	−	0.383272i	0.932192	−	0.361965i	$-0.117894\pi$
$984$	6.55306	−	6.83282i	0.208904	−	0.217822i
$985$	−9.34758	−	25.6823i	−0.297839	−	0.818305i
$986$	−11.3160	−	9.49526i	−0.360375	−	0.302391i
$987$	−14.3149	−	14.8115i	−0.455650	−	0.471456i
$988$	1.71182	+	0.623050i	0.0544601	+	0.0198219i
$989$	0.0276505	−	0.0159640i	0.000879236	−	0.000507627i
$990$	57.9184	−	36.7485i	1.84077	−	1.16794i
$991$	6.73064	−	11.6578i	0.213806	−	0.370322i	−0.739097	−	0.673599i	$-0.764747\pi$
$991$	6.73064	−	11.6578i	0.213806	−	0.370322i	0.952902	+	0.303277i	$0.0980807\pi$
$992$	−0.475824	−	0.173186i	−0.0151074	−	0.00549866i
$993$	40.1942	−	29.4147i	1.27552	−	0.933449i
$994$	−1.30774	+	6.06186i	−0.0414791	+	0.192270i
$995$	−79.0034	−	13.9304i	−2.50458	−	0.441625i
$996$	2.77253	+	5.63521i	0.0878511	+	0.178558i
$997$	5.76622	−	15.8426i	0.182618	−	0.501739i	−0.814277	−	0.580476i	$-0.802867\pi$
$997$	5.76622	−	15.8426i	0.182618	−	0.501739i	0.996895	+	0.0787371i	$0.0250888\pi$
$998$	−34.5048	+	19.9213i	−1.09223	+	0.630599i
$999$	19.3963	+	57.6621i	0.613673	+	1.82435i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	378.2.bf.a.5.20	yes	144
7.3	odd	6		378.2.ba.a.59.12	✓	144
27.11	odd	18		378.2.ba.a.173.12	yes	144
189.38	even	18	inner	378.2.bf.a.227.20	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
378.2.ba.a.59.12	✓	144	7.3	odd	6
378.2.ba.a.173.12	yes	144	27.11	odd	18
378.2.bf.a.5.20	yes	144	1.1	even	1	trivial
378.2.bf.a.227.20	yes	144	189.38	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)

\(f(q)\)	\(=\)	\(q+(0.984808 - 0.173648i) q^{2} +(0.963600 - 1.43926i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-0.689038 + 3.90773i) q^{5} +(0.699036 - 1.58472i) q^{6} +(0.360258 + 2.62111i) q^{7} +(0.866025 - 0.500000i) q^{8} +(-1.14295 - 2.77375i) q^{9} +O(q^{10})\)	\(q+(0.984808 - 0.173648i) q^{2} +(0.963600 - 1.43926i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-0.689038 + 3.90773i) q^{5} +(0.699036 - 1.58472i) q^{6} +(0.360258 + 2.62111i) q^{7} +(0.866025 - 0.500000i) q^{8} +(-1.14295 - 2.77375i) q^{9} +3.96801i q^{10} +(5.67462 - 1.00059i) q^{11} +(0.413232 - 1.68203i) q^{12} +(-0.194790 + 0.232141i) q^{13} +(0.809935 + 2.51873i) q^{14} +(4.96029 + 4.75719i) q^{15} +(0.766044 - 0.642788i) q^{16} -4.55414 q^{17} +(-1.60724 - 2.53314i) q^{18} -6.01135i q^{19} +(0.689038 + 3.90773i) q^{20} +(4.11961 + 2.00720i) q^{21} +(5.41466 - 1.97078i) q^{22} +(-1.14527 + 1.36488i) q^{23} +(0.114872 - 1.72824i) q^{24} +(-10.0971 - 3.67504i) q^{25} +(-0.151520 + 0.262440i) q^{26} +(-5.09349 - 1.02778i) q^{27} +(1.23500 + 2.33982i) q^{28} +(2.08497 + 2.48477i) q^{29} +(5.71101 + 3.82358i) q^{30} +(-0.173186 - 0.475824i) q^{31} +(0.642788 - 0.766044i) q^{32} +(4.02796 - 9.13143i) q^{33} +(-4.48495 + 0.790818i) q^{34} +(-10.4908 - 0.398255i) q^{35} +(-2.02270 - 2.21556i) q^{36} +(-5.85404 - 10.1395i) q^{37} +(-1.04386 - 5.92003i) q^{38} +(0.146413 + 0.504045i) q^{39} +(1.35714 + 3.72871i) q^{40} +(4.18716 + 3.51345i) q^{41} +(4.40557 + 1.26134i) q^{42} +(-0.0168391 - 0.00612892i) q^{43} +(4.99018 - 2.88108i) q^{44} +(11.6266 - 2.55511i) q^{45} +(-0.890863 + 1.54302i) q^{46} +(-4.22388 - 1.53737i) q^{47} +(-0.186979 - 1.72193i) q^{48} +(-6.74043 + 1.88855i) q^{49} +(-10.5819 - 1.86587i) q^{50} +(-4.38837 + 6.55460i) q^{51} +(-0.103645 + 0.284764i) q^{52} +(9.52381 - 5.49857i) q^{53} +(-5.19458 - 0.127692i) q^{54} +22.8643i q^{55} +(1.62255 + 2.08982i) q^{56} +(-8.65191 - 5.79254i) q^{57} +(2.48477 + 2.08497i) q^{58} +(2.72514 + 2.28666i) q^{59} +(6.28820 + 2.77378i) q^{60} +(-3.19188 + 8.76961i) q^{61} +(-0.253181 - 0.438522i) q^{62} +(6.85854 - 3.99506i) q^{63} +(0.500000 - 0.866025i) q^{64} +(-0.772928 - 0.921140i) q^{65} +(2.38111 - 9.69215i) q^{66} +(-0.608005 + 3.44817i) q^{67} +(-4.27949 + 1.55761i) q^{68} +(0.860837 + 2.96355i) q^{69} +(-10.4006 + 1.42951i) q^{70} +(2.02986 + 1.17194i) q^{71} +(-2.37670 - 1.83066i) q^{72} +(-4.68349 - 2.70401i) q^{73} +(-7.52581 - 8.96891i) q^{74} +(-15.0189 + 10.9911i) q^{75} +(-2.05600 - 5.64883i) q^{76} +(4.66698 + 14.5133i) q^{77} +(0.231715 + 0.470963i) q^{78} +(0.0840446 + 0.476640i) q^{79} +(1.98401 + 3.43640i) q^{80} +(-6.38734 + 6.34050i) q^{81} +(4.73365 + 2.73298i) q^{82} +(-2.77764 + 2.33071i) q^{83} +(4.55767 + 0.477160i) q^{84} +(3.13798 - 17.7963i) q^{85} +(-0.0176475 - 0.00311173i) q^{86} +(5.58532 - 0.606492i) q^{87} +(4.41407 - 3.70385i) q^{88} +10.8312 q^{89} +(11.0063 - 4.53523i) q^{90} +(-0.678643 - 0.426935i) q^{91} +(-0.609386 + 1.67428i) q^{92} +(-0.851718 - 0.209245i) q^{93} +(-4.42668 - 0.780542i) q^{94} +(23.4907 + 4.14205i) q^{95} +(-0.483148 - 1.66330i) q^{96} +(3.12381 - 8.58259i) q^{97} +(-6.31008 + 3.03032i) q^{98} +(-9.26118 - 14.5963i) 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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