LMFDB - Embedded newform 966.2.t.a.41.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(41,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 11, 12]))

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

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

chi := DirichletCharacter("966.41");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.t (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$640$
Relative dimension:	$64$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			41.18
Character	$\chi$	$=$	966.41
Dual form			966.2.t.a.377.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.281733 + 0.959493i) q^{2} +(0.134057 - 1.72686i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-0.595091 + 4.13895i) q^{5} +(1.61914 + 0.615138i) q^{6} +(1.45457 + 2.21003i) q^{7} +(0.755750 - 0.654861i) q^{8} +(-2.96406 - 0.462995i) q^{9} +O(q^{10})$	\(q+(-0.281733 + 0.959493i) q^{2} +(0.134057 - 1.72686i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-0.595091 + 4.13895i) q^{5} +(1.61914 + 0.615138i) q^{6} +(1.45457 + 2.21003i) q^{7} +(0.755750 - 0.654861i) q^{8} +(-2.96406 - 0.462995i) q^{9} +(-3.80364 - 1.73706i) q^{10} +(-0.197791 - 0.673615i) q^{11} +(-1.04638 + 1.38025i) q^{12} +(4.94570 + 2.25862i) q^{13} +(-2.53031 + 0.773016i) q^{14} +(7.06759 + 1.58249i) q^{15} +(0.415415 + 0.909632i) q^{16} +(-4.93939 + 3.17435i) q^{17} +(1.27931 - 2.71355i) q^{18} +(2.38855 - 3.71665i) q^{19} +(2.73831 - 3.16018i) q^{20} +(4.01139 - 2.21557i) q^{21} +0.702053 q^{22} +(-4.17535 - 2.35933i) q^{23} +(-1.02954 - 1.39286i) q^{24} +(-11.9793 - 3.51745i) q^{25} +(-3.56050 + 4.10903i) q^{26} +(-1.19688 + 5.05643i) q^{27} +(-0.0288340 - 2.64559i) q^{28} +(-1.02318 - 1.59209i) q^{29} +(-3.50956 + 6.33547i) q^{30} +(-6.34824 + 5.50078i) q^{31} +(-0.989821 + 0.142315i) q^{32} +(-1.18975 + 0.251254i) q^{33} +(-1.65418 - 5.63363i) q^{34} +(-10.0128 + 4.70524i) q^{35} +(2.24321 + 1.99199i) q^{36} +(-0.325585 - 2.26449i) q^{37} +(2.89317 + 3.33890i) q^{38} +(4.56332 - 8.23772i) q^{39} +(2.26070 + 3.51771i) q^{40} +(-1.73391 + 12.0596i) q^{41} +(0.995681 + 4.47310i) q^{42} +(3.25328 - 3.75448i) q^{43} +(-0.197791 + 0.673615i) q^{44} +(3.68020 - 11.9926i) q^{45} +(3.44010 - 3.34152i) q^{46} +9.23875 q^{47} +(1.62649 - 0.595419i) q^{48} +(-2.76844 + 6.42929i) q^{49} +(6.74993 - 10.5031i) q^{50} +(4.81949 + 8.95516i) q^{51} +(-2.93948 - 4.57392i) q^{52} +(-3.47199 + 1.58560i) q^{53} +(-4.51441 - 2.57296i) q^{54} +(2.90576 - 0.417786i) q^{55} +(2.54655 + 0.717684i) q^{56} +(-6.09792 - 4.62292i) q^{57} +(1.81586 - 0.533186i) q^{58} +(-0.752046 + 1.64675i) q^{59} +(-5.09008 - 5.15231i) q^{60} +(-5.53008 + 4.79184i) q^{61} +(-3.48946 - 7.64085i) q^{62} +(-3.28821 - 7.22411i) q^{63} +(0.142315 - 0.989821i) q^{64} +(-12.2915 + 19.1259i) q^{65} +(0.0941154 - 1.21234i) q^{66} +(7.55165 + 2.21736i) q^{67} +5.87147 q^{68} +(-4.63396 + 6.89394i) q^{69} +(-1.69371 - 10.9328i) q^{70} +(-1.31545 + 4.48001i) q^{71} +(-2.54328 + 1.59114i) q^{72} +(0.257794 - 0.401136i) q^{73} +(2.26449 + 0.325585i) q^{74} +(-7.68004 + 20.2150i) q^{75} +(-4.01875 + 1.83530i) q^{76} +(1.20101 - 1.41695i) q^{77} +(6.61840 + 6.69931i) q^{78} +(-0.115890 + 0.253764i) q^{79} +(-4.01213 + 1.17807i) q^{80} +(8.57127 + 2.74469i) q^{81} +(-11.0826 - 5.06125i) q^{82} +(0.369065 + 2.56690i) q^{83} +(-4.57242 - 0.304869i) q^{84} +(-10.1991 - 22.3329i) q^{85} +(2.68584 + 4.17925i) q^{86} +(-2.88648 + 1.55345i) q^{87} +(-0.590605 - 0.379559i) q^{88} +(3.61001 - 4.16617i) q^{89} +(10.4700 + 6.90982i) q^{90} +(2.20226 + 14.2155i) q^{91} +(2.23698 + 4.24216i) q^{92} +(8.64803 + 11.6999i) q^{93} +(-2.60286 + 8.86451i) q^{94} +(13.9616 + 12.0978i) q^{95} +(0.113064 + 1.72836i) q^{96} +(-8.09440 - 1.16380i) q^{97} +(-5.38890 - 4.46763i) q^{98} +(0.274384 + 2.08821i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 640 q + 64 q^{4} + 8 q^{9}+O(q^{10}) $ 640 * q + 64 * q^4 + 8 * q^9	$ 640 q + 64 q^{4} + 8 q^{9} + 8 q^{15} - 64 q^{16} + 20 q^{18} + 54 q^{21} - 8 q^{22} - 56 q^{25} - 44 q^{30} - 8 q^{36} + 20 q^{37} - 16 q^{39} - 4 q^{42} - 28 q^{43} + 24 q^{46} - 68 q^{49} - 40 q^{51} + 32 q^{57} - 80 q^{58} - 8 q^{60} + 86 q^{63} + 64 q^{64} + 24 q^{67} + 72 q^{70} - 64 q^{72} - 8 q^{78} - 144 q^{79} + 20 q^{81} + 34 q^{84} + 32 q^{85} + 8 q^{88} - 40 q^{91} + 16 q^{93} + 68 q^{99}+O(q^{100}) $ 640 * q + 64 * q^4 + 8 * q^9 + 8 * q^15 - 64 * q^16 + 20 * q^18 + 54 * q^21 - 8 * q^22 - 56 * q^25 - 44 * q^30 - 8 * q^36 + 20 * q^37 - 16 * q^39 - 4 * q^42 - 28 * q^43 + 24 * q^46 - 68 * q^49 - 40 * q^51 + 32 * q^57 - 80 * q^58 - 8 * q^60 + 86 * q^63 + 64 * q^64 + 24 * q^67 + 72 * q^70 - 64 * q^72 - 8 * q^78 - 144 * q^79 + 20 * q^81 + 34 * q^84 + 32 * q^85 + 8 * q^88 - 40 * q^91 + 16 * q^93 + 68 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{6}{11}\right)$

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 $

$2$	−0.281733	+	0.959493i	−0.199215	+	0.678464i
$2$	−0.281733	+	0.959493i	−0.199215	+	0.678464i
$3$	0.134057	−	1.72686i	0.0773981	−	0.997000i
$3$	0.134057	−	1.72686i	0.0773981	−	0.997000i
$4$	−0.841254	−	0.540641i	−0.420627	−	0.270320i
$5$	−0.595091	+	4.13895i	−0.266133	+	1.85100i	0.217932	+	0.975964i	$0.430069\pi$
$5$	−0.595091	+	4.13895i	−0.266133	+	1.85100i	−0.484065	+	0.875032i	$0.660840\pi$
$6$	1.61914	+	0.615138i	0.661010	+	0.251129i
$7$	1.45457	+	2.21003i	0.549777	+	0.835312i
$7$	1.45457	+	2.21003i	0.549777	+	0.835312i
$8$	0.755750	−	0.654861i	0.267198	−	0.231528i
$9$	−2.96406	−	0.462995i	−0.988019	−	0.154332i
$10$	−3.80364	−	1.73706i	−1.20282	−	0.549308i
$11$	−0.197791	−	0.673615i	−0.0596363	−	0.203103i	0.924286	−	0.381701i	$-0.124662\pi$
$11$	−0.197791	−	0.673615i	−0.0596363	−	0.203103i	−0.983922	+	0.178599i	$0.942844\pi$
$12$	−1.04638	+	1.38025i	−0.302065	+	0.398443i
$13$	4.94570	+	2.25862i	1.37169	+	0.626430i	0.958730	−	0.284319i	$-0.0917676\pi$
$13$	4.94570	+	2.25862i	1.37169	+	0.626430i	0.412960	+	0.910749i	$0.364495\pi$
$14$	−2.53031	+	0.773016i	−0.676253	+	0.206597i
$15$	7.06759	+	1.58249i	1.82485	+	0.408598i
$16$	0.415415	+	0.909632i	0.103854	+	0.227408i
$17$	−4.93939	+	3.17435i	−1.19798	+	0.769894i	−0.978605	−	0.205747i	$-0.934038\pi$
$17$	−4.93939	+	3.17435i	−1.19798	+	0.769894i	−0.219373	+	0.975641i	$0.570401\pi$
$18$	1.27931	−	2.71355i	0.301537	−	0.639590i
$19$	2.38855	−	3.71665i	0.547971	−	0.852659i	−0.451239	−	0.892403i	$-0.649018\pi$
$19$	2.38855	−	3.71665i	0.547971	−	0.852659i	0.999210	+	0.0397441i	$0.0126543\pi$
$20$	2.73831	−	3.16018i	0.612305	−	0.706637i
$21$	4.01139	−	2.21557i	0.875358	−	0.483476i
$22$	0.702053			0.149678
$23$	−4.17535	−	2.35933i	−0.870621	−	0.491955i
$23$	−4.17535	−	2.35933i	−0.870621	−	0.491955i
$24$	−1.02954	−	1.39286i	−0.210153	−	0.284316i
$25$	−11.9793	−	3.51745i	−2.39587	−	0.703490i
$26$	−3.56050	+	4.10903i	−0.698271	+	0.805848i
$27$	−1.19688	+	5.05643i	−0.230340	+	0.973110i
$28$	−0.0288340	−	2.64559i	−0.00544912	−	0.499970i
$29$	−1.02318	−	1.59209i	−0.189999	−	0.295644i	0.733165	−	0.680051i	$-0.238042\pi$
$29$	−1.02318	−	1.59209i	−0.189999	−	0.295644i	−0.923164	+	0.384407i	$0.874406\pi$
$30$	−3.50956	+	6.33547i	−0.640756	+	1.15669i
$31$	−6.34824	+	5.50078i	−1.14018	+	0.987970i	−0.999998	−	0.00215579i	$-0.999314\pi$
$31$	−6.34824	+	5.50078i	−1.14018	+	0.987970i	−0.140181	+	0.990126i	$0.544768\pi$
$32$	−0.989821	+	0.142315i	−0.174977	+	0.0251579i
$33$	−1.18975	+	0.251254i	−0.207109	+	0.0437377i
$34$	−1.65418	−	5.63363i	−0.283690	−	0.966160i
$35$	−10.0128	+	4.70524i	−1.69247	+	0.795331i
$36$	2.24321	+	1.99199i	0.373868	+	0.331998i
$37$	−0.325585	−	2.26449i	−0.0535258	−	0.372280i	−0.998925	−	0.0463645i	$-0.985236\pi$
$37$	−0.325585	−	2.26449i	−0.0535258	−	0.372280i	0.945399	−	0.325916i	$-0.105673\pi$
$38$	2.89317	+	3.33890i	0.469334	+	0.541641i
$39$	4.56332	−	8.23772i	0.730717	−	1.31909i
$40$	2.26070	+	3.51771i	0.357448	+	0.556199i
$41$	−1.73391	+	12.0596i	−0.270791	+	1.88339i	0.169493	+	0.985531i	$0.445787\pi$
$41$	−1.73391	+	12.0596i	−0.270791	+	1.88339i	−0.440284	+	0.897859i	$0.645122\pi$
$42$	0.995681	+	4.47310i	0.153637	+	0.690214i
$43$	3.25328	−	3.75448i	0.496120	−	0.572553i	−0.451371	−	0.892337i	$-0.649065\pi$
$43$	3.25328	−	3.75448i	0.496120	−	0.572553i	0.947491	+	0.319784i	$0.103610\pi$
$44$	−0.197791	+	0.673615i	−0.0298182	+	0.101551i
$45$	3.68020	−	11.9926i	0.548612	−	1.78775i
$46$	3.44010	−	3.34152i	0.507214	−	0.492680i
$47$	9.23875			1.34761			0.673805	−	0.738909i	$-0.264659\pi$
$47$	9.23875			1.34761			0.673805	+	0.738909i	$0.264659\pi$
$48$	1.62649	−	0.595419i	0.234764	−	0.0859413i
$49$	−2.76844	+	6.42929i	−0.395491	+	0.918470i
$50$	6.74993	−	10.5031i	0.954585	−	1.48536i
$51$	4.81949	+	8.95516i	0.674863	+	1.25397i
$52$	−2.93948	−	4.57392i	−0.407633	−	0.634289i
$53$	−3.47199	+	1.58560i	−0.476914	+	0.217799i	−0.639344	−	0.768921i	$-0.720794\pi$
$53$	−3.47199	+	1.58560i	−0.476914	+	0.217799i	0.162430	+	0.986720i	$0.448067\pi$
$54$	−4.51441	−	2.57296i	−0.614333	−	0.350135i
$55$	2.90576	−	0.417786i	0.391813	−	0.0563342i
$56$	2.54655	+	0.717684i	0.340297	+	0.0959046i
$57$	−6.09792	−	4.62292i	−0.807689	−	0.612321i
$58$	1.81586	−	0.533186i	0.238435	−	0.0700107i
$59$	−0.752046	+	1.64675i	−0.0979080	+	0.214389i	−0.952248	−	0.305326i	$-0.901235\pi$
$59$	−0.752046	+	1.64675i	−0.0979080	+	0.214389i	0.854340	+	0.519715i	$0.173962\pi$
$60$	−5.09008	−	5.15231i	−0.657126	−	0.665160i
$61$	−5.53008	+	4.79184i	−0.708055	+	0.613533i	−0.932592	−	0.360933i	$-0.882458\pi$
$61$	−5.53008	+	4.79184i	−0.708055	+	0.613533i	0.224537	+	0.974466i	$0.427913\pi$
$62$	−3.48946	−	7.64085i	−0.443162	−	0.970388i
$63$	−3.28821	−	7.22411i	−0.414275	−	0.910152i
$64$	0.142315	−	0.989821i	0.0177894	−	0.123728i
$65$	−12.2915	+	19.1259i	−1.52457	+	2.37228i
$66$	0.0941154	−	1.21234i	0.0115848	−	0.149229i
$67$	7.55165	+	2.21736i	0.922580	+	0.270894i	0.708327	−	0.705884i	$-0.249450\pi$
$67$	7.55165	+	2.21736i	0.922580	+	0.270894i	0.214253	+	0.976778i	$0.431268\pi$
$68$	5.87147			0.712020
$69$	−4.63396	+	6.89394i	−0.557864	+	0.829933i
$70$	−1.69371	−	10.9328i	−0.202437	−	1.30672i
$71$	−1.31545	+	4.48001i	−0.156115	+	0.531679i	−0.999988	−	0.00486359i	$-0.998452\pi$
$71$	−1.31545	+	4.48001i	−0.156115	+	0.531679i	0.843873	+	0.536543i	$0.180270\pi$
$72$	−2.54328	+	1.59114i	−0.299729	+	0.187517i
$73$	0.257794	−	0.401136i	0.0301726	−	0.0469494i	−0.825840	−	0.563905i	$-0.809298\pi$
$73$	0.257794	−	0.401136i	0.0301726	−	0.0469494i	0.856012	+	0.516956i	$0.172935\pi$
$74$	2.26449	+	0.325585i	0.263242	+	0.0378485i
$75$	−7.68004	+	20.2150i	−0.886815	+	2.33423i
$76$	−4.01875	+	1.83530i	−0.460982	+	0.210524i
$77$	1.20101	−	1.41695i	0.136867	−	0.161476i
$78$	6.61840	+	6.69931i	0.749386	+	0.758548i
$79$	−0.115890	+	0.253764i	−0.0130387	+	0.0285507i	−0.916039	−	0.401089i	$-0.868632\pi$
$79$	−0.115890	+	0.253764i	−0.0130387	+	0.0285507i	0.903001	+	0.429639i	$0.141359\pi$
$80$	−4.01213	+	1.17807i	−0.448570	+	0.131712i
$81$	8.57127	+	2.74469i	0.952363	+	0.304966i
$82$	−11.0826	−	5.06125i	−1.22387	−	0.558921i
$83$	0.369065	+	2.56690i	0.0405102	+	0.281754i	1.00000		1.11296e-5i	$3.54265e-6\pi$
$83$	0.369065	+	2.56690i	0.0405102	+	0.281754i	−0.959490	+	0.281743i	$0.909087\pi$
$84$	−4.57242	−	0.304869i	−0.498892	−	0.0332640i
$85$	−10.1991	−	22.3329i	−1.10625	−	2.42235i
$86$	2.68584	+	4.17925i	0.289622	+	0.450661i
$87$	−2.88648	+	1.55345i	−0.309463	+	0.166547i
$88$	−0.590605	−	0.379559i	−0.0629587	−	0.0404611i
$89$	3.61001	−	4.16617i	0.382660	−	0.441613i	−0.531444	−	0.847094i	$-0.678350\pi$
$89$	3.61001	−	4.16617i	0.382660	−	0.441613i	0.914104	+	0.405480i	$0.132896\pi$
$90$	10.4700	+	6.90982i	1.10363	+	0.728359i
$91$	2.20226	+	14.2155i	0.230859	+	1.49018i
$92$	2.23698	+	4.24216i	0.233221	+	0.442276i
$93$	8.64803	+	11.6999i	0.896759	+	1.21323i
$94$	−2.60286	+	8.86451i	−0.268464	+	0.914305i
$95$	13.9616	+	12.0978i	1.43243	+	1.24121i
$96$	0.113064	+	1.72836i	0.0115396	+	0.176400i
$97$	−8.09440	−	1.16380i	−0.821862	−	0.118166i	−0.281460	−	0.959573i	$-0.590819\pi$
$97$	−8.09440	−	1.16380i	−0.821862	−	0.118166i	−0.540402	+	0.841407i	$0.681728\pi$
$98$	−5.38890	−	4.46763i	−0.544361	−	0.451299i
$99$	0.274384	+	2.08821i	0.0275766	+	0.209873i
$100$	8.17598	+	9.43558i	0.817598	+	0.943558i
$101$	−0.602034	−	4.18724i	−0.0599046	−	0.416646i	−0.997603	−	0.0691956i	$-0.977957\pi$
$101$	−0.602034	−	4.18724i	−0.0599046	−	0.416646i	0.937699	−	0.347450i	$-0.112952\pi$
$102$	−9.95022	+	2.10130i	−0.985218	+	0.208060i
$103$	−2.03754	−	6.93921i	−0.200764	−	0.683741i	−0.996904	−	0.0786278i	$-0.974946\pi$
$103$	−2.03754	−	6.93921i	−0.200764	−	0.683741i	0.796140	−	0.605113i	$-0.206872\pi$
$104$	5.21679	−	1.53179i	0.511549	−	0.150204i
$105$	6.78298	+	17.9214i	0.661951	+	1.74895i
$106$	−0.543204	−	3.77807i	−0.0527606	−	0.366958i
$107$	−2.21416	+	1.91858i	−0.214051	+	0.185476i	−0.755286	−	0.655395i	$-0.772502\pi$
$107$	−2.21416	+	1.91858i	−0.214051	+	0.185476i	0.541236	+	0.840871i	$0.317957\pi$
$108$	3.74059	−	3.60666i	0.359939	−	0.347051i
$109$	1.01448	−	0.651965i	0.0971693	−	0.0624469i	−0.491154	−	0.871073i	$-0.663425\pi$
$109$	1.01448	−	0.651965i	0.0971693	−	0.0624469i	0.588323	+	0.808626i	$0.299788\pi$
$110$	−0.417786	+	2.90576i	−0.0398343	+	0.277054i
$111$	−3.95410	+	0.258666i	−0.375306	+	0.0245515i
$112$	−1.40606	+	2.24120i	−0.132860	+	0.211774i
$113$	−3.31282	+	11.2824i	−0.311644	+	1.06136i	0.643556	+	0.765399i	$0.277458\pi$
$113$	−3.31282	+	11.2824i	−0.311644	+	1.06136i	−0.955200	+	0.295962i	$0.904360\pi$
$114$	6.15364	−	4.54848i	0.576342	−	0.426005i
$115$	12.2499	−	15.8776i	1.14231	−	1.48059i
$116$			1.89253i			0.175717i
$117$	−13.6136	−	8.98453i	−1.25858	−	0.830620i
$118$	−1.36817	−	1.18553i	−0.125950	−	0.109136i
$119$	−14.2001	−	6.29886i	−1.30172	−	0.577415i
$120$	6.37764	−	3.43232i	0.582197	−	0.313327i
$121$	8.83915	−	5.68058i	0.803559	−	0.516416i
$122$	−3.03974	−	6.65609i	−0.275205	−	0.602614i
$123$	20.5927	+	4.61088i	1.85678	+	0.415749i
$124$	8.31443	−	1.19543i	0.746658	−	0.107353i
$125$	13.0020	−	28.4705i	1.16294	−	2.54648i
$126$	7.85787	−	1.11974i	0.700035	−	0.0997547i
$127$	−11.0565	+	3.24649i	−0.981107	+	0.288079i	−0.732681	−	0.680572i	$-0.761731\pi$
$127$	−11.0565	+	3.24649i	−0.981107	+	0.288079i	−0.248426	+	0.968651i	$0.579913\pi$
$128$	0.909632	+	0.415415i	0.0804009	+	0.0367178i
$129$	−6.04732	−	6.12125i	−0.532437	−	0.538946i
$130$	−14.8883	−	17.1820i	−1.30579	−	1.50696i
$131$	2.43405	+	5.32982i	0.212664	+	0.465669i	0.985660	−	0.168741i	$-0.0539703\pi$
$131$	2.43405	+	5.32982i	0.212664	+	0.465669i	−0.772997	+	0.634410i	$0.781243\pi$
$132$	1.13672	+	0.431860i	0.0989388	+	0.0375886i
$133$	11.6882	−	0.127389i	1.01350	−	0.0110460i
$134$	−4.25509	+	6.62105i	−0.367584	+	0.571971i
$135$	−20.2161	−	7.96287i	−1.73992	−	0.685334i
$136$	−1.65418	+	5.63363i	−0.141845	+	0.483080i
$137$		−	17.8539i		−	1.52536i	−0.646776	−	0.762680i	$-0.723883\pi$
$137$		−	17.8539i		−	1.52536i	0.646776	−	0.762680i	$-0.276117\pi$
$138$	−5.30915	−	6.38850i	−0.451945	−	0.543825i
$139$			13.2845i			1.12678i	0.826192	+	0.563389i	$0.190503\pi$
$139$			13.2845i			1.12678i	−0.826192	+	0.563389i	$0.809497\pi$
$140$	10.9671	+	1.45503i	0.926893	+	0.122972i
$141$	1.23852	−	15.9540i	0.104302	−	1.34357i
$142$	−3.92793	−	2.52433i	−0.329625	−	0.211837i
$143$	0.543228	−	3.77823i	0.0454270	−	0.315952i
$144$	−0.810158	−	2.88854i	−0.0675132	−	0.240711i
$145$	7.19848	−	3.28744i	0.597801	−	0.273007i
$146$	0.312258	+	0.360365i	0.0258427	+	0.0298240i
$147$	10.7313	+	5.64258i	0.885105	+	0.465392i
$148$	−0.950378	+	2.08104i	−0.0781206	+	0.171060i
$149$	−3.89691	−	13.2717i	−0.319248	−	1.08726i	−0.950253	−	0.311479i	$-0.899176\pi$
$149$	−3.89691	−	13.2717i	−0.319248	−	1.08726i	0.631006	−	0.775778i	$-0.282643\pi$
$150$	−17.2325	−	13.0642i	−1.40702	−	1.06669i
$151$	−1.90838	+	4.17877i	−0.155302	+	0.340063i	−0.971250	−	0.238061i	$-0.923488\pi$
$151$	−1.90838	+	4.17877i	−0.155302	+	0.340063i	0.815948	+	0.578125i	$0.196215\pi$
$152$	−0.628746	−	4.37303i	−0.0509981	−	0.354699i
$153$	16.1103	−	7.12205i	1.30244	−	0.575784i
$154$	1.02119	+	1.55156i	0.0822896	+	0.125028i
$155$	−18.9897	−	29.5486i	−1.52529	−	2.37340i
$156$	−8.29256	+	4.46289i	−0.663936	+	0.357317i
$157$	2.44758	−	3.80851i	0.195338	−	0.303952i	−0.729743	−	0.683722i	$-0.760360\pi$
$157$	2.44758	−	3.80851i	0.195338	−	0.303952i	0.925081	+	0.379769i	$0.123997\pi$
$158$	−0.210835	−	0.182689i	−0.0167731	−	0.0145340i
$159$	2.27266	+	6.20818i	0.180234	+	0.492341i
$160$		−	4.18151i		−	0.330578i
$161$	−0.859161	−	12.6595i	−0.0677113	−	0.997705i
$162$	−5.04832	+	7.45081i	−0.396633	+	0.585391i
$163$	6.41601	+	1.88391i	0.502541	+	0.147559i	0.523171	−	0.852228i	$-0.324749\pi$
$163$	6.41601	+	1.88391i	0.502541	+	0.147559i	−0.0206298	+	0.999787i	$0.506567\pi$
$164$	7.97856	−	9.20774i	0.623021	−	0.719004i
$165$	−0.331916	−	5.07384i	−0.0258397	−	0.394998i
$166$	−2.56690	−	0.369065i	−0.199230	−	0.0286450i
$167$	13.1479	−	8.44965i	1.01742	−	0.653854i	0.0781139	−	0.996944i	$-0.475110\pi$
$167$	13.1479	−	8.44965i	1.01742	−	0.653854i	0.939302	+	0.343091i	$0.111474\pi$
$168$	1.58072	−	4.30132i	0.121955	−	0.331854i
$169$	10.8454	+	12.5162i	0.834258	+	0.962785i
$170$	24.3017	−	3.49406i	1.86386	−	0.267982i
$171$	−8.80059	+	9.91049i	−0.672998	+	0.757874i
$172$	−4.76665	+	1.39962i	−0.363454	+	0.106720i
$173$	−0.265446	+	0.0779421i	−0.0201815	+	0.00592583i	−0.291808	−	0.956477i	$-0.594257\pi$
$173$	−0.265446	+	0.0779421i	−0.0201815	+	0.00592583i	0.271626	+	0.962403i	$0.412439\pi$
$174$	−0.677305	−	3.20721i	−0.0513463	−	0.243138i
$175$	−9.65115	−	31.5910i	−0.729558	−	2.38806i
$176$	0.530576	−	0.459747i	0.0399937	−	0.0346547i
$177$	2.74288	+	1.51943i	0.206168	+	0.114208i
$178$	2.98035	+	4.63752i	0.223387	+	0.347597i
$179$	10.8844	+	1.56494i	0.813539	+	0.116969i	0.536512	−	0.843893i	$-0.319742\pi$
$179$	10.8844	+	1.56494i	0.813539	+	0.116969i	0.277027	+	0.960862i	$0.410651\pi$
$180$	−9.57965	+	8.09912i	−0.714025	+	0.603673i
$181$	16.9255	+	14.6661i	1.25807	+	1.09012i	0.992010	+	0.126163i	$0.0402662\pi$
$181$	16.9255	+	14.6661i	1.25807	+	1.09012i	0.266056	+	0.963957i	$0.414279\pi$
$182$	−14.2601	−	1.89191i	−1.05703	−	0.140237i
$183$	7.53347	+	10.1920i	0.556890	+	0.753417i
$184$	−4.70055	+	0.951207i	−0.346529	+	0.0701239i
$185$	9.56638			0.703334
$186$	−13.6624	+	5.00148i	−1.00178	+	0.366726i
$187$	3.11526	+	2.69939i	0.227810	+	0.197399i
$188$	−7.77213	−	4.99484i	−0.566841	−	0.364286i
$189$	−12.9158	+	4.70981i	−0.939486	+	0.342588i
$190$	−15.5412	+	9.98775i	−1.12748	+	0.724587i
$191$	8.27711	−	3.78003i	0.598910	−	0.273513i	−0.0928040	−	0.995684i	$-0.529583\pi$
$191$	8.27711	−	3.78003i	0.598910	−	0.273513i	0.691714	+	0.722171i	$0.256856\pi$
$192$	−1.69020	−	0.378450i	−0.121980	−	0.0273123i
$193$	2.34041	+	16.2779i	0.168466	+	1.17171i	0.882056	+	0.471145i	$0.156159\pi$
$193$	2.34041	+	16.2779i	0.168466	+	1.17171i	−0.713589	+	0.700564i	$0.752932\pi$
$194$	3.39711	−	7.43864i	0.243899	−	0.534064i
$195$	31.3799	+	23.7896i	2.24716	+	1.70361i
$196$	5.80489	−	3.91193i	0.414635	−	0.279424i
$197$	1.85050	+	0.845097i	0.131843	+	0.0602107i	0.480244	−	0.877135i	$-0.340548\pi$
$197$	1.85050	+	0.845097i	0.131843	+	0.0602107i	−0.348401	+	0.937346i	$0.613275\pi$
$198$	−2.08093	−	0.325047i	−0.147885	−	0.0231001i
$199$	19.3953	−	16.8062i	1.37490	−	1.19136i	0.415402	−	0.909638i	$-0.363641\pi$
$199$	19.3953	−	16.8062i	1.37490	−	1.19136i	0.959497	−	0.281718i	$-0.0909044\pi$
$200$	−11.3568	+	5.18648i	−0.803048	+	0.366740i
$201$	4.84142	−	12.7433i	0.341487	−	0.898846i
$202$	4.18724	+	0.602034i	0.294613	+	0.0423589i
$203$	2.03028	−	4.57706i	0.142498	−	0.321247i
$204$	0.787114	−	10.1392i	0.0551090	−	0.709884i
$205$	−48.8822	−	14.3531i	−3.41408	−	1.00246i
$206$	7.23216			0.503889
$207$	11.2836	+	8.92637i	0.784265	+	0.620425i
$208$			5.43703i			0.376990i
$209$	−2.97603	−	0.873841i	−0.205856	−	0.0604448i
$210$	−19.1065	+	1.45917i	−1.31847	+	0.100692i
$211$	−11.8354	−	7.60617i	−0.814784	−	0.523630i	0.0656251	−	0.997844i	$-0.479096\pi$
$211$	−11.8354	−	7.60617i	−0.814784	−	0.523630i	−0.880409	+	0.474214i	$0.842732\pi$
$212$	3.77807	+	0.543204i	0.259479	+	0.0373074i
$213$	7.55998	+	2.87217i	0.518001	+	0.196798i
$214$	−1.21706	−	2.66500i	−0.0831967	−	0.182175i
$215$	13.6036	+	15.6994i	0.927759	+	1.07069i
$216$	2.40672	+	4.60518i	0.163756	+	0.313343i
$217$	−21.3909	−	6.02850i	−1.45211	−	0.409241i
$218$	0.339744	+	1.15706i	0.0230104	+	0.0783662i
$219$	−0.658144	−	0.498949i	−0.0444733	−	0.0337158i
$220$	−2.67036	−	1.21951i	−0.180035	−	0.0822194i
$221$	−31.5984	+	4.54317i	−2.12554	+	0.305606i
$222$	0.865810	−	3.86680i	0.0581094	−	0.259523i
$223$	−0.0443916	+	0.0202729i	−0.00297268	+	0.00135758i	−0.416901	−	0.908952i	$-0.636884\pi$
$223$	−0.0443916	+	0.0202729i	−0.00297268	+	0.00135758i	0.413928	+	0.910310i	$0.364156\pi$
$224$	−1.75429	−	1.98052i	−0.117213	−	0.132329i
$225$	33.8788	+	15.9723i	2.25859	+	1.06482i
$226$	−9.89208	−	6.35725i	−0.658011	−	0.422878i
$227$	−11.9781	+	13.8235i	−0.795017	+	0.917499i	−0.998097	−	0.0616635i	$-0.980359\pi$
$227$	−11.9781	+	13.8235i	−0.795017	+	0.917499i	0.203080	+	0.979162i	$0.434905\pi$
$228$	2.63056	+	7.18583i	0.174213	+	0.475893i
$229$			19.5837i			1.29413i	0.762437	+	0.647063i	$0.224003\pi$
$229$			19.5837i			1.29413i	−0.762437	+	0.647063i	$0.775997\pi$
$230$	11.7832	+	16.2269i	0.776962	+	1.06997i
$231$	−2.28586	−	2.26391i	−0.150398	−	0.148955i
$232$	−1.81586	−	0.533186i	−0.119217	−	0.0350054i
$233$	14.3940	+	12.4725i	0.942984	+	0.817100i	0.983282	−	0.182088i	$-0.0582855\pi$
$233$	14.3940	+	12.4725i	0.942984	+	0.817100i	−0.0402986	+	0.999188i	$0.512831\pi$
$234$	12.4560	−	10.5309i	0.814273	−	0.688428i
$235$	−5.49790	+	38.2387i	−0.358643	+	2.49442i
$236$	1.52296	−	0.978748i	0.0991363	−	0.0637111i
$237$	0.422678	+	0.234145i	0.0274559	+	0.0152093i
$238$	10.0443	−	11.8503i	0.651078	−	0.768142i
$239$	−10.5727	+	1.52013i	−0.683893	+	0.0983290i	−0.475499	−	0.879716i	$-0.657733\pi$
$239$	−10.5727	+	1.52013i	−0.683893	+	0.0983290i	−0.208394	+	0.978045i	$0.566824\pi$
$240$	1.49650	+	7.08630i	0.0965985	+	0.457419i
$241$	−5.33615	−	18.1732i	−0.343731	−	1.17064i	−0.932146	−	0.362082i	$-0.882066\pi$
$241$	−5.33615	−	18.1732i	−0.343731	−	1.17064i	0.588415	−	0.808559i	$-0.299752\pi$
$242$	2.96020	+	10.0815i	0.190289	+	0.648064i
$243$	5.88872	−	14.4334i	0.377762	−	0.925903i
$244$	7.24287	−	1.04137i	0.463677	−	0.0666667i
$245$	−24.9631	−	15.2844i	−1.59483	−	0.976487i
$246$	−10.2257	+	18.4595i	−0.651970	+	1.17694i
$247$	20.2076	−	12.9866i	1.28578	−	0.826318i
$248$	−1.19543	+	8.31443i	−0.0759102	+	0.527967i
$249$	4.48215	−	0.293209i	0.284045	−	0.0185814i
$250$	23.6541	+	20.4964i	1.49602	+	1.29631i
$251$	−9.73943	−	2.85976i	−0.614747	−	0.180506i	−0.0404887	−	0.999180i	$-0.512891\pi$
$251$	−9.73943	−	2.85976i	−0.614747	−	0.180506i	−0.574259	+	0.818674i	$0.694710\pi$
$252$	−1.13943	+	7.85504i	−0.0717775	+	0.494821i
$253$	−0.763435	+	3.27923i	−0.0479968	+	0.206164i
$254$		−	11.5233i		−	0.723036i
$255$	−39.9330	+	14.6185i	−2.50070	+	0.915445i
$256$	−0.654861	+	0.755750i	−0.0409288	+	0.0472343i
$257$	22.4184	+	14.4074i	1.39842	+	0.898711i	0.999830	−	0.0184176i	$-0.00586284\pi$
$257$	22.4184	+	14.4074i	1.39842	+	0.898711i	0.398591	+	0.917129i	$0.369499\pi$
$258$	7.57702	−	4.07780i	0.471725	−	0.253873i
$259$	4.53100	−	4.01342i	0.281543	−	0.249382i
$260$	20.6805	−	9.44447i	1.28255	−	0.585721i
$261$	2.29562	+	5.19278i	0.142095	+	0.321425i
$262$	−5.79968	+	0.833868i	−0.358305	+	0.0515165i
$263$	6.76864	+	3.09114i	0.417372	+	0.190608i	0.613021	−	0.790066i	$-0.289954\pi$
$263$	6.76864	+	3.09114i	0.417372	+	0.190608i	−0.195649	+	0.980674i	$0.562681\pi$
$264$	−0.734618	+	0.969006i	−0.0452126	+	0.0596382i
$265$	−4.49659	−	15.3140i	−0.276223	−	0.940730i
$266$	−3.17072	+	11.2507i	−0.194410	+	0.689822i
$267$	−6.71042	−	6.79246i	−0.410671	−	0.415692i
$268$	−5.15405	−	5.94809i	−0.314834	−	0.363338i
$269$	0.353759	+	0.774623i	0.0215690	+	0.0472296i	0.920110	−	0.391660i	$-0.128099\pi$
$269$	0.353759	+	0.774623i	0.0215690	+	0.0472296i	−0.898541	+	0.438890i	$0.855372\pi$
$270$	13.3358	−	17.1538i	0.811593	−	1.04395i
$271$	21.9155	+	3.15097i	1.33127	+	0.191408i	0.770965	−	0.636877i	$-0.219774\pi$
$271$	21.9155	+	3.15097i	1.33127	+	0.191408i	0.560307	+	0.828285i	$0.310683\pi$
$272$	−4.93939	−	3.17435i	−0.299495	−	0.192473i
$273$	24.8433	−	1.89729i	1.50358	−	0.114829i
$274$	17.1307	+	5.03002i	1.03490	+	0.303875i
$275$			8.76518i			0.528560i
$276$	7.62548	−	3.29424i	0.459000	−	0.198290i
$277$	23.4936			1.41159			0.705797	−	0.708414i	$-0.250589\pi$
$277$	23.4936			1.41159			0.705797	+	0.708414i	$0.250589\pi$
$278$	−12.7464	−	3.74268i	−0.764479	−	0.224471i
$279$	21.3634	−	13.3654i	1.27899	−	0.800168i
$280$	−4.48589	+	10.1130i	−0.268083	+	0.604366i
$281$	16.7265	+	2.40490i	0.997818	+	0.143465i	0.621824	−	0.783157i	$-0.286392\pi$
$281$	16.7265	+	2.40490i	0.997818	+	0.143465i	0.375994	+	0.926622i	$0.377301\pi$
$282$	14.9588	+	5.68311i	0.890783	+	0.338424i
$283$	6.07940	−	2.77637i	0.361383	−	0.165038i	−0.226445	−	0.974024i	$-0.572710\pi$
$283$	6.07940	−	2.77637i	0.361383	−	0.165038i	0.587828	+	0.808986i	$0.299983\pi$
$284$	3.52870	−	3.05764i	0.209390	−	0.181437i
$285$	22.7629	−	22.4879i	1.34836	−	1.33207i
$286$	3.47214	+	1.58567i	0.205312	+	0.0937629i
$287$	−29.1741	+	13.7096i	−1.72209	+	0.809250i
$288$	2.99978	+	0.0364535i	0.176764	+	0.00214804i
$289$	7.25901	−	15.8950i	0.427000	−	0.935000i
$290$	1.12623	+	7.83307i	0.0661342	+	0.459974i
$291$	−3.09483	+	13.8218i	−0.181422	+	0.810251i
$292$	−0.433741	+	0.198083i	−0.0253828	+	0.0115919i
$293$	7.15959	−	4.60119i	0.418268	−	0.268804i	−0.314534	−	0.949246i	$-0.601848\pi$
$293$	7.15959	−	4.60119i	0.418268	−	0.268804i	0.732802	+	0.680442i	$0.238212\pi$
$294$	−8.43738	+	8.70693i	−0.492078	+	0.507798i
$295$	−6.36828	−	4.09265i	−0.370776	−	0.238283i
$296$	−1.72899	−	1.49818i	−0.100495	−	0.0870798i
$297$	3.64282	−	0.193881i	0.211378	−	0.0112501i
$298$	13.8320			0.801264
$299$	−15.3212	−	21.0991i	−0.886046	−	1.22019i
$300$	17.3899	−	12.8538i	1.00401	−	0.742115i
$301$	13.0296	+	1.72866i	0.751015	+	0.0996383i
$302$	−3.47185	−	3.00837i	−0.199782	−	0.173112i
$303$	−7.31146	+	0.478295i	−0.420032	+	0.0274773i
$304$	4.37303	+	0.628746i	0.250810	+	0.0360611i
$305$	−16.5423	−	25.7403i	−0.947210	−	1.47389i
$306$	2.29475	+	17.4643i	0.131182	+	0.998366i
$307$	−4.82482	+	4.18073i	−0.275367	+	0.238607i	−0.781585	−	0.623799i	$-0.785589\pi$
$307$	−4.82482	+	4.18073i	−0.275367	+	0.238607i	0.506218	+	0.862406i	$0.331043\pi$
$308$	−1.77641	+	0.542698i	−0.101220	+	0.0309231i
$309$	−12.2562	+	2.58828i	−0.697228	+	0.147242i
$310$	33.7016	−	9.89570i	1.91412	−	0.562038i
$311$	16.1201	−	4.73328i	0.914085	−	0.268400i	0.209326	−	0.977846i	$-0.432873\pi$
$311$	16.1201	−	4.73328i	0.914085	−	0.268400i	0.704759	+	0.709446i	$0.251055\pi$
$312$	−1.94583	−	9.21399i	−0.110161	−	0.521640i
$313$	−9.37445	+	1.34784i	−0.529875	+	0.0761846i	−0.402060	−	0.915613i	$-0.631706\pi$
$313$	−9.37445	+	1.34784i	−0.529875	+	0.0761846i	−0.127816	+	0.991798i	$0.540797\pi$
$314$	2.96468	+	3.42142i	0.167306	+	0.193082i
$315$	31.8570	−	9.31072i	1.79494	−	0.524600i
$316$	0.234688	−	0.150825i	0.0132022	−	0.00848457i
$317$	20.1450	+	2.89642i	1.13146	+	0.162679i	0.682508	−	0.730878i	$-0.260889\pi$
$317$	20.1450	+	2.89642i	1.13146	+	0.162679i	0.448949	+	0.893557i	$0.351798\pi$
$318$	−6.59699	+	0.431557i	−0.369941	+	0.0242005i
$319$	−0.870083	+	1.00413i	−0.0487153	+	0.0562204i
$320$	4.01213	+	1.17807i	0.224285	+	0.0658560i
$321$	3.01628	+	4.08073i	0.168353	+	0.227764i
$322$	12.3887	+	2.74222i	0.690396	+	0.152818i
$323$			25.9401i			1.44335i
$324$	−5.72672	−	6.94296i	−0.318151	−	0.385720i
$325$	−51.3015	−	44.4530i	−2.84570	−	2.46581i
$326$	−3.61520	+	5.62536i	−0.200227	+	0.311560i
$327$	−0.989851	−	1.83926i	−0.0547389	−	0.101711i
$328$	6.58695	+	10.2495i	0.363703	+	0.565933i
$329$	13.4384	+	20.4179i	0.740885	+	1.12567i
$330$	4.96183	+	1.11099i	0.273140	+	0.0611583i
$331$	1.28555	+	8.94121i	0.0706603	+	0.491453i	0.994165	+	0.107867i	$0.0344020\pi$
$331$	1.28555	+	8.94121i	0.0706603	+	0.491453i	−0.923505	+	0.383586i	$0.874689\pi$
$332$	1.07730	−	2.35895i	0.0591243	−	0.129464i
$333$	−0.0833976	+	6.86283i	−0.00457016	+	0.376081i
$334$	4.40319	+	14.9959i	0.240932	+	0.820538i
$335$	−13.6715	+	29.9364i	−0.746953	+	1.63560i
$336$	3.68174	+	2.72851i	0.200856	+	0.148852i
$337$	3.96955	+	4.58111i	0.216235	+	0.249549i	0.853496	−	0.521100i	$-0.174478\pi$
$337$	3.96955	+	4.58111i	0.216235	+	0.249549i	−0.637261	+	0.770648i	$0.719933\pi$
$338$	−15.0647	+	6.87982i	−0.819411	+	0.374213i
$339$	19.0390	+	7.23325i	1.03406	+	0.392856i
$340$	−3.49406	+	24.3017i	−0.189492	+	1.31795i
$341$	4.96104	+	3.18827i	0.268655	+	0.172654i
$342$	−7.02963	−	11.2362i	−0.380119	−	0.607585i
$343$	−18.2358	+	3.23356i	−0.984640	+	0.174596i
$344$		−	4.96789i		−	0.267851i
$345$	−25.7760	−	23.2823i	−1.38774	−	1.25348i
$346$		−	0.276653i		−	0.0148729i
$347$	−7.17874	+	24.4485i	−0.385375	+	1.31247i	0.507302	+	0.861768i	$0.330643\pi$
$347$	−7.17874	+	24.4485i	−0.385375	+	1.31247i	−0.892677	+	0.450697i	$0.851175\pi$
$348$	3.26812	+	0.253707i	0.175189	+	0.0136001i
$349$	−14.7095	+	22.8884i	−0.787380	+	1.22519i	0.182883	+	0.983135i	$0.441457\pi$
$349$	−14.7095	+	22.8884i	−0.787380	+	1.22519i	−0.970263	+	0.242053i	$0.922179\pi$
$350$	33.0304	−	0.359995i	1.76555	−	0.0192425i
$351$	−17.3400	+	22.3043i	−0.925540	+	1.19051i
$352$	0.291643	+	0.638610i	0.0155446	+	0.0340380i
$353$	−19.1225	−	22.0686i	−1.01779	−	1.17459i	−0.984543	−	0.175145i	$-0.943960\pi$
$353$	−19.1225	−	22.0686i	−1.01779	−	1.17459i	−0.0332476	−	0.999447i	$-0.510585\pi$
$354$	−2.23064	+	2.20370i	−0.118557	+	0.117125i
$355$	−17.7597	−	8.11060i	−0.942589	−	0.430466i
$356$	−5.28933	+	1.55309i	−0.280334	+	0.0823135i
$357$	−12.7808	+	23.6771i	−0.676434	+	1.25313i
$358$	−4.56804	+	10.0026i	−0.241429	+	0.528655i
$359$	−7.74178	+	1.11310i	−0.408595	+	0.0587471i	−0.343548	−	0.939135i	$-0.611629\pi$
$359$	−7.74178	+	1.11310i	−0.408595	+	0.0587471i	−0.0650472	+	0.997882i	$0.520720\pi$
$360$	−5.07215	−	11.4734i	−0.267326	−	0.604701i
$361$	−0.215467	−	0.471807i	−0.0113404	−	0.0248320i
$362$	−18.8405	+	12.1080i	−0.990233	+	0.636384i
$363$	−8.62458	−	16.0255i	−0.452673	−	0.841119i
$364$	5.83280	−	13.1494i	0.305722	−	0.689218i
$365$	1.50687	+	1.30571i	0.0788733	+	0.0683441i
$366$	−11.9016	+	4.35689i	−0.622107	+	0.227738i
$367$		−	10.0479i		−	0.524496i	−0.965001	−	0.262248i	$-0.915536\pi$
$367$		−	10.0479i		−	0.524496i	0.965001	−	0.262248i	$-0.0844638\pi$
$368$	0.411622	−	4.77813i	0.0214573	−	0.249077i
$369$	10.7229	−	34.9425i	0.558213	−	1.81903i
$370$	−2.69516	+	9.17888i	−0.140115	+	0.477187i
$371$	−8.55449	−	5.36681i	−0.444127	−	0.278631i
$372$	−0.949731	−	14.5181i	−0.0492413	−	0.752727i
$373$	3.80211	−	26.4442i	0.196866	−	1.36923i	−0.616444	−	0.787399i	$-0.711427\pi$
$373$	3.80211	−	26.4442i	0.196866	−	1.36923i	0.813309	−	0.581832i	$-0.197664\pi$
$374$	−3.46772	+	2.22857i	−0.179311	+	0.115236i
$375$	−47.4213	−	26.2693i	−2.44883	−	1.35654i
$376$	6.98218	−	6.05009i	0.360078	−	0.312010i
$377$	−1.46438	−	10.1850i	−0.0754194	−	0.524553i
$378$	−0.880229	−	13.7195i	−0.0452741	−	0.705656i
$379$	28.5135	−	8.37233i	1.46464	−	0.430058i	0.550289	−	0.834974i	$-0.314518\pi$
$379$	28.5135	−	8.37233i	1.46464	−	0.430058i	0.914354	+	0.404917i	$0.132699\pi$
$380$	−5.20470	−	17.7256i	−0.266996	−	0.909303i
$381$	4.12400	+	19.5282i	0.211279	+	1.00046i
$382$	1.29498	+	9.00678i	0.0662569	+	0.460827i
$383$	−9.94668	−	11.4791i	−0.508252	−	0.586554i	0.442399	−	0.896819i	$-0.354128\pi$
$383$	−9.94668	−	11.4791i	−0.508252	−	0.586554i	−0.950650	+	0.310265i	$0.899582\pi$
$384$	0.839304	−	1.51511i	0.0428306	−	0.0773178i
$385$	5.14996	+	5.81412i	0.262466	+	0.296315i
$386$	−16.2779	−	2.34041i	−0.828523	−	0.119124i
$387$	−11.3812	+	9.62224i	−0.578539	+	0.489126i
$388$	6.18025	+	5.35522i	0.313755	+	0.271870i
$389$	1.88872	−	6.43238i	0.0957617	−	0.326134i	−0.897654	−	0.440701i	$-0.854730\pi$
$389$	1.88872	−	6.43238i	0.0957617	−	0.326134i	0.993416	+	0.114567i	$0.0365480\pi$
$390$	−31.6667	+	23.4065i	−1.60350	+	1.18524i
$391$	28.1130	−	1.60037i	1.42174	−	0.0809340i
$392$	2.11805	+	6.67187i	0.106977	+	0.336980i
$393$	9.53014	−	3.48875i	0.480732	−	0.175984i
$394$	−1.33221	+	1.53745i	−0.0671159	+	0.0774559i
$395$	−0.981352	−	0.630677i	−0.0493772	−	0.0317328i
$396$	0.898145	−	1.90506i	0.0451335	−	0.0957327i
$397$	−3.60507	−	5.60960i	−0.180933	−	0.281538i	0.738926	−	0.673787i	$-0.235333\pi$
$397$	−3.60507	−	5.60960i	−0.180933	−	0.281538i	−0.919859	+	0.392249i	$0.871697\pi$
$398$	10.6611	+	23.3445i	0.534392	+	1.17016i
$399$	1.34691	−	20.2009i	0.0674299	−	1.01131i
$400$	−1.77681	−	12.3580i	−0.0888405	−	0.617899i
$401$	31.3362	+	14.3108i	1.56485	+	0.714645i	0.994300	−	0.106615i	$-0.0340011\pi$
$401$	31.3362	+	14.3108i	1.56485	+	0.714645i	0.570554	+	0.821260i	$0.306728\pi$
$402$	10.8632	+	8.23552i	0.541805	+	0.410751i
$403$	−43.8207	+	12.8669i	−2.18286	+	0.640947i
$404$	−1.75733	+	3.84801i	−0.0874303	+	0.191446i
$405$	−16.4608	+	33.8427i	−0.817945	+	1.68166i
$406$	3.81966	+	3.23755i	0.189567	+	0.160677i
$407$	−1.46100	+	0.667216i	−0.0724190	+	0.0330727i
$408$	9.50671	+	3.61176i	0.470652	+	0.178809i
$409$	10.8045	+	1.55346i	0.534249	+	0.0768135i	0.404159	−	0.914689i	$-0.367564\pi$
$409$	10.8045	+	1.55346i	0.534249	+	0.0768135i	0.130090	+	0.991502i	$0.458473\pi$
$410$	27.5434	−	42.8584i	1.36027	−	2.11662i
$411$	−30.8311	−	2.39345i	−1.52079	−	0.118060i
$412$	−2.03754	+	6.93921i	−0.100382	+	0.341870i
$413$	−4.73327	+	0.733277i	−0.232909	+	0.0360822i
$414$	−11.7437	+	8.31170i	−0.577174	+	0.408498i
$415$	−10.8439			−0.532307
$416$	−5.21679	−	1.53179i	−0.255774	−	0.0751021i
$417$	22.9405	+	1.78089i	1.12340	+	0.0872105i
$418$	1.67689	−	2.60929i	0.0820193	−	0.127624i
$419$	2.72324	−	18.9405i	0.133039	−	0.925305i	−0.808523	−	0.588465i	$-0.799733\pi$
$419$	2.72324	−	18.9405i	0.133039	−	0.925305i	0.941562	−	0.336841i	$-0.109358\pi$
$420$	3.98285	−	18.7436i	0.194343	−	0.914595i
$421$	4.62702	+	10.1318i	0.225507	+	0.493792i	0.988238	−	0.152924i	$-0.0488690\pi$
$421$	4.62702	+	10.1318i	0.225507	+	0.493792i	−0.762731	+	0.646716i	$0.776142\pi$
$422$	10.6325	−	9.21310i	0.517581	−	0.448487i
$423$	−27.3842	−	4.27750i	−1.33146	−	0.207979i
$424$	−1.58560	+	3.47199i	−0.0770037	+	0.168615i
$425$	70.3362	−	20.6526i	3.41181	−	1.00180i
$426$	−4.88572	+	6.44457i	−0.236714	+	0.312240i
$427$	−18.6340	−	5.25154i	−0.901763	−	0.254140i
$428$	2.89993	−	0.416947i	0.140173	−	0.0201539i
$429$	−6.45164	−	1.44458i	−0.311488	−	0.0697448i
$430$	−18.8961	+	8.62954i	−0.911249	+	0.416153i
$431$	7.86891	+	12.2443i	0.379032	+	0.589786i	0.977390	−	0.211443i	$-0.0678163\pi$
$431$	7.86891	+	12.2443i	0.379032	+	0.589786i	−0.598358	+	0.801229i	$0.704180\pi$
$432$	−5.09669	+	1.01180i	−0.245215	+	0.0486801i
$433$	−7.10457	+	11.0549i	−0.341424	+	0.531266i	−0.968927	−	0.247348i	$-0.920441\pi$
$433$	−7.10457	+	11.0549i	−0.341424	+	0.531266i	0.627503	+	0.778614i	$0.284077\pi$
$434$	11.8108	−	18.8260i	0.566937	−	0.903675i
$435$	−4.71192	−	12.8714i	−0.225919	−	0.617138i
$436$	−1.20591			−0.0577527
$437$	−18.7419	+	9.88295i	−0.896544	+	0.472765i
$438$	0.664159	−	0.490915i	0.0317347	−	0.0234568i
$439$	−4.77268	+	16.2543i	−0.227788	+	0.775774i	0.763700	+	0.645572i	$0.223381\pi$
$439$	−4.77268	+	16.2543i	−0.227788	+	0.775774i	−0.991487	+	0.130202i	$0.958437\pi$
$440$	1.92244	−	2.21861i	0.0916487	−	0.105768i
$441$	11.1825	−	17.7750i	0.532502	−	0.846429i
$442$	4.54317	−	31.5984i	0.216096	−	1.50298i
$443$	−3.85180	−	5.99351i	−0.183004	−	0.284760i	0.737615	−	0.675221i	$-0.235952\pi$
$443$	−3.85180	−	5.99351i	−0.183004	−	0.284760i	−0.920619	+	0.390461i	$0.872316\pi$
$444$	3.46625	+	1.92014i	0.164501	+	0.0911260i
$445$	15.0953	+	17.4209i	0.715585	+	0.825830i
$446$	−0.00694520	−	0.0483049i	−0.000328865	−	0.00228731i
$447$	−23.4407	+	4.95024i	−1.10870	+	0.234138i
$448$	2.39454	−	1.12525i	0.113131	−	0.0531630i
$449$	−10.5782	−	36.0260i	−0.499216	−	1.70017i	−0.694557	−	0.719438i	$-0.744399\pi$
$449$	−10.5782	−	36.0260i	−0.499216	−	1.70017i	0.195341	−	0.980735i	$-0.437419\pi$
$450$	−24.8701	+	28.0066i	−1.17239	+	1.32024i
$451$	8.46647	−	1.21729i	0.398670	−	0.0573201i
$452$	8.88666	−	7.70034i	0.417993	−	0.362193i
$453$	6.96029	+	3.85569i	0.327023	+	0.181156i
$454$	−9.88893	−	15.3875i	−0.464110	−	0.722170i
$455$	−60.1476	+	0.655542i	−2.81976	+	0.0307323i
$456$	−7.63587	+	0.499517i	−0.357582	+	0.0233920i
$457$	−12.1094	+	13.9750i	−0.566456	+	0.653725i	−0.964637	−	0.263582i	$-0.915096\pi$
$457$	−12.1094	+	13.9750i	−0.566456	+	0.653725i	0.398181	+	0.917307i	$0.369642\pi$
$458$	−18.7904	−	5.51736i	−0.878018	−	0.257809i
$459$	−10.1390	−	28.7750i	−0.473250	−	1.34310i
$460$	−18.8893	+	6.73426i	−0.880719	+	0.313987i
$461$	11.9883			0.558351			0.279176	−	0.960240i	$-0.409939\pi$
$461$	11.9883			0.558351			0.279176	+	0.960240i	$0.409939\pi$
$462$	2.81621	−	1.55545i	0.131022	−	0.0723659i
$463$	−0.207124	+	0.239034i	−0.00962587	+	0.0111088i	−0.760542	−	0.649289i	$-0.775067\pi$
$463$	−0.207124	+	0.239034i	−0.00962587	+	0.0111088i	0.750916	+	0.660397i	$0.229612\pi$
$464$	1.02318	−	1.59209i	0.0474998	−	0.0739111i
$465$	−53.5718	+	28.8313i	−2.48433	+	1.33702i
$466$	−16.0225	+	10.2971i	−0.742229	+	0.477002i
$467$	11.4557	+	25.0846i	0.530109	+	1.16078i	0.965469	+	0.260520i	$0.0838938\pi$
$467$	11.4557	+	25.0846i	0.530109	+	1.16078i	−0.435360	+	0.900256i	$0.643379\pi$
$468$	6.59508	+	14.9183i	0.304858	+	0.689600i
$469$	6.08399	+	19.9147i	0.280932	+	0.919573i
$470$	−35.1409	−	16.0483i	−1.62093	−	0.740252i
$471$	−6.24863	−	4.73718i	−0.287922	−	0.218278i
$472$	0.510034	+	1.73702i	0.0234762	+	0.0799526i
$473$	−3.17254	−	1.44885i	−0.145874	−	0.0666183i
$474$	−0.343742	+	0.339590i	−0.0157886	+	0.0155979i
$475$	−41.6863	+	36.1214i	−1.91270	+	1.65736i
$476$	8.54047	+	12.9761i	0.391452	+	0.594758i
$477$	11.0253	−	3.09231i	0.504814	−	0.141587i
$478$	1.52013	−	10.5727i	0.0695291	−	0.483585i
$479$	3.34969	+	2.15271i	0.153051	+	0.0983600i	0.614925	−	0.788586i	$-0.289186\pi$
$479$	3.34969	+	2.15271i	0.153051	+	0.0983600i	−0.461874	+	0.886946i	$0.652823\pi$
$480$	−7.22087	−	0.560563i	−0.329586	−	0.0255861i
$481$	3.50440	−	11.9349i	0.159787	−	0.544183i
$482$	18.9405			0.862715
$483$	−21.9762	−	0.213448i	−0.999953	−	0.00971223i
$484$	−10.5071			−0.477596
$485$	9.63382	−	32.8098i	0.437449	−	1.48982i
$486$	12.1897	+	9.71655i	0.552936	+	0.440752i
$487$	12.8832	+	8.27954i	0.583794	+	0.375182i	0.798950	−	0.601398i	$-0.205389\pi$
$487$	12.8832	+	8.27954i	0.583794	+	0.375182i	−0.215155	+	0.976580i	$0.569026\pi$
$488$	−1.04137	+	7.24287i	−0.0471405	+	0.327869i
$489$	4.11336	−	10.8270i	0.186012	−	0.489613i
$490$	21.6982	−	19.6457i	0.980225	−	0.887504i
$491$	−8.29546	+	7.18805i	−0.374369	+	0.324392i	−0.821641	−	0.570006i	$-0.806941\pi$
$491$	−8.29546	+	7.18805i	−0.374369	+	0.324392i	0.447272	+	0.894398i	$0.352396\pi$
$492$	−14.8309	−	15.0122i	−0.668627	−	0.676801i
$493$	10.1077	+	4.61605i	0.455230	+	0.207896i
$494$	6.76743	+	23.0478i	0.304481	+	1.03697i
$495$	−8.80629	−	0.107015i	−0.395813	−	0.00480995i
$496$	−7.64085	−	3.48946i	−0.343084	−	0.156681i
$497$	−11.8144	+	3.60932i	−0.529946	+	0.161900i
$498$	−0.981435	+	4.38320i	−0.0439791	+	0.196416i
$499$	−10.5436	−	23.0872i	−0.471994	−	1.03352i	−0.984588	−	0.174892i	$-0.944042\pi$
$499$	−10.5436	−	23.0872i	−0.471994	−	1.03352i	0.512593	−	0.858632i	$-0.328685\pi$
$500$	−26.3303	+	16.9215i	−1.17753	+	0.756750i
$501$	−12.8287	−	23.8373i	−0.573146	−	1.06497i
$502$	5.48783	−	8.53923i	0.244934	−	0.381124i
$503$	9.05878	−	10.4544i	0.403911	−	0.466138i	−0.516958	−	0.856011i	$-0.672936\pi$
$503$	9.05878	−	10.4544i	0.403911	−	0.466138i	0.920869	+	0.389873i	$0.127481\pi$
$504$	−7.21584	−	3.30630i	−0.321419	−	0.147274i
$505$	17.6890			0.787152
$506$	−2.93132	−	1.65638i	−0.130313	−	0.0736350i
$507$	23.0676	−	17.0505i	1.02447	−	0.757237i
$508$	11.0565	+	3.24649i	0.490554	+	0.144040i
$509$	1.45876	−	1.68350i	0.0646584	−	0.0746198i	−0.722499	−	0.691372i	$-0.757007\pi$
$509$	1.45876	−	1.68350i	0.0646584	−	0.0746198i	0.787157	+	0.616752i	$0.211552\pi$
$510$	−2.77591	−	42.4339i	−0.122919	−	1.87901i
$511$	1.26150	−	0.0137490i	0.0558056	−	0.000608219i
$512$	−0.540641	−	0.841254i	−0.0238932	−	0.0371785i
$513$	15.9342	+	16.5259i	0.703512	+	0.729637i
$514$	−20.1398	+	17.4513i	−0.888330	+	0.769742i
$515$	29.9336	−	4.30380i	1.31903	−	0.189648i
$516$	1.77793	+	8.41895i	0.0782689	+	0.370624i
$517$	−1.82734	−	6.22336i	−0.0803665	−	0.273703i
$518$	2.57432	+	5.47818i	0.113109	+	0.240697i
$519$	0.0990097	+	0.468836i	0.00434604	+	0.0205796i
$520$	3.23553	+	22.5036i	0.141887	+	0.986849i
$521$	−11.2964	−	13.0367i	−0.494903	−	0.571148i	0.452266	−	0.891883i	$-0.350616\pi$
$521$	−11.2964	−	13.0367i	−0.494903	−	0.571148i	−0.947169	+	0.320735i	$0.896070\pi$
$522$	−5.62919	+	0.739657i	−0.246383	+	0.0323739i
$523$	5.35210	+	8.32803i	0.234031	+	0.364159i	0.938328	−	0.345746i	$-0.112374\pi$
$523$	5.35210	+	8.32803i	0.234031	+	0.364159i	−0.704297	+	0.709905i	$0.748738\pi$
$524$	0.833868	−	5.79968i	0.0364277	−	0.253360i
$525$	−55.8469	+	12.4311i	−2.43736	+	0.542539i
$526$	−4.87287	+	5.62359i	−0.212467	+	0.245200i
$527$	13.8950	−	47.3221i	0.605277	−	2.06138i
$528$	−0.722789	−	0.977861i	−0.0314553	−	0.0425559i
$529$	11.8671	+	19.7021i	0.515960	+	0.856612i
$530$	15.9605			0.693279
$531$	2.99154	−	4.53287i	0.129822	−	0.196710i
$532$	−9.90163	−	6.21196i	−0.429290	−	0.269323i
$533$	−35.8134	+	55.7268i	−1.55125	+	2.41380i
$534$	8.40787	−	4.52495i	0.363844	−	0.195814i
$535$	−6.62328	−	10.3060i	−0.286349	−	0.445568i
$536$	7.15922	−	3.26951i	0.309231	−	0.141221i
$537$	4.16156	−	18.5860i	0.179585	−	0.802045i
$538$	−0.842911	+	0.121192i	−0.0363405	+	0.00522497i
$539$	4.87844	+	0.593203i	0.210129	+	0.0255510i
$540$	12.7018	+	17.6284i	0.546598	+	0.758606i
$541$	38.2318	−	11.2259i	1.64371	−	0.482637i	0.676465	−	0.736475i	$-0.263511\pi$
$541$	38.2318	−	11.2259i	1.64371	−	0.482637i	0.967247	+	0.253837i	$0.0816928\pi$
$542$	−9.19765	+	20.1400i	−0.395073	+	0.865089i
$543$	27.5952	−	27.2619i	1.18422	−	1.16992i
$544$	4.43736	−	3.84499i	0.190250	−	0.164853i
$545$	2.09474	+	4.58685i	0.0897290	+	0.196479i
$546$	−5.17872	+	24.3715i	−0.221629	+	1.04300i
$547$	−4.55807	+	31.7021i	−0.194889	+	1.35548i	0.623952	+	0.781463i	$0.285526\pi$
$547$	−4.55807	+	31.7021i	−0.194889	+	1.35548i	−0.818841	+	0.574020i	$0.805383\pi$
$548$	−9.65254	+	15.0196i	−0.412336	+	0.641608i
$549$	18.6101	−	11.6429i	0.794259	−	0.496907i
$550$	−8.41012	−	2.46944i	−0.358609	−	0.105297i
$551$	−8.36117			−0.356198
$552$	1.01245	+	8.24469i	0.0430929	+	0.350917i
$553$	−0.729396	+	0.112998i	−0.0310171	+	0.00480516i
$554$	−6.61891	+	22.5420i	−0.281211	+	0.957716i
$555$	1.28244	−	16.5198i	0.0544367	−	0.701225i
$556$	7.18216	−	11.1757i	0.304591	−	0.473953i
$557$	−39.1445	−	5.62813i	−1.65861	−	0.238471i	−0.751609	−	0.659609i	$-0.770722\pi$
$557$	−39.1445	−	5.62813i	−1.65861	−	0.238471i	−0.906997	+	0.421138i	$0.861631\pi$
$558$	6.80527	+	24.2635i	0.288090	+	1.02716i
$559$	24.5697	−	11.2206i	1.03919	−	0.474581i
$560$	−8.43950	−	7.15333i	−0.356634	−	0.302284i
$561$	5.07908	−	5.01773i	0.214439	−	0.211849i
$562$	−7.01988	+	15.3714i	−0.296116	+	0.648403i
$563$	5.01506	−	1.47256i	0.211360	−	0.0620608i	−0.174339	−	0.984686i	$-0.555779\pi$
$563$	5.01506	−	1.47256i	0.211360	−	0.0620608i	0.385698	+	0.922625i	$0.373961\pi$
$564$	−9.66728	+	12.7517i	−0.407066	+	0.536945i
$565$	−44.7260	−	20.4257i	−1.88164	−	0.859315i
$566$	0.951142	+	6.61534i	0.0399795	+	0.278063i
$567$	6.40170	+	22.9351i	0.268846	+	0.963183i
$568$	1.93963	+	4.24720i	0.0813851	+	0.178209i
$569$	2.71333	+	4.22203i	0.113749	+	0.176997i	0.893460	−	0.449143i	$-0.148271\pi$
$569$	2.71333	+	4.22203i	0.113749	+	0.176997i	−0.779711	+	0.626139i	$0.784634\pi$
$570$	15.1640	+	28.1764i	0.635149	+	1.18018i
$571$	−0.314910	−	0.202381i	−0.0131786	−	0.00846936i	0.534035	−	0.845462i	$-0.320675\pi$
$571$	−0.314910	−	0.202381i	−0.0131786	−	0.00846936i	−0.547214	+	0.836993i	$0.684311\pi$
$572$	−2.49966	+	2.88476i	−0.104516	+	0.120618i
$573$	−5.41795	−	14.8001i	−0.226338	−	0.618283i
$574$	−4.93494	−	31.8548i	−0.205980	−	1.32959i
$575$	41.7190	+	42.9498i	1.73980	+	1.79113i
$576$	−0.880112	+	2.86800i	−0.0366713	+	0.119500i
$577$	1.80040	−	6.13161i	0.0749518	−	0.255262i	−0.913490	−	0.406860i	$-0.866624\pi$
$577$	1.80040	−	6.13161i	0.0749518	−	0.255262i	0.988442	+	0.151598i	$0.0484418\pi$
$578$	13.2060	+	11.4431i	0.549299	+	0.475971i
$579$	28.4233	−	1.85937i	1.18123	−	0.0772729i
$580$	−7.83307	−	1.12623i	−0.325251	−	0.0467640i
$581$	−5.13609	+	4.54939i	−0.213081	+	0.188741i
$582$	−12.3901	−	6.86353i	−0.513584	−	0.284502i
$583$	1.75482	+	2.02517i	0.0726770	+	0.0838738i
$584$	−0.0678602	−	0.471978i	−0.00280807	−	0.0195306i
$585$	45.2879	−	50.9994i	1.87242	−	2.10857i
$586$	2.39772	+	8.16588i	0.0990489	+	0.337330i
$587$	−33.2590	+	9.76571i	−1.37274	+	0.403074i	−0.883238	−	0.468926i	$-0.844641\pi$
$587$	−33.2590	+	9.76571i	−1.37274	+	0.403074i	−0.489507	+	0.872000i	$0.662823\pi$
$588$	−5.97715	−	10.5486i	−0.246494	−	0.435018i
$589$	5.28143	+	36.7331i	0.217617	+	1.51356i
$590$	5.72102	−	4.95729i	0.235531	−	0.204088i
$591$	1.70743	−	3.08226i	0.0702345	−	0.126787i
$592$	1.92460	−	1.23687i	0.0791007	−	0.0508349i
$593$	0.514169	−	3.57613i	0.0211144	−	0.146854i	−0.976537	−	0.215350i	$-0.930911\pi$
$593$	0.514169	−	3.57613i	0.0211144	−	0.146854i	0.997651	+	0.0684958i	$0.0218200\pi$
$594$	−0.840273	+	3.54988i	−0.0344768	+	0.145653i
$595$	34.5210	−	55.0252i	1.41522	−	2.25581i
$596$	−3.89691	+	13.2717i	−0.159624	+	0.543629i
$597$	−26.4217	−	35.7459i	−1.08137	−	1.46298i
$598$	24.5609	−	8.75625i	1.00437	−	0.358070i
$599$		−	25.4992i		−	1.04187i	−0.853597	−	0.520934i	$-0.825584\pi$
$599$		−	25.4992i		−	1.04187i	0.853597	−	0.520934i	$-0.174416\pi$
$600$	7.43384	+	20.3069i	0.303485	+	0.829024i
$601$	−5.62149	−	4.87105i	−0.229306	−	0.198694i	0.532628	−	0.846349i	$-0.321204\pi$
$601$	−5.62149	−	4.87105i	−0.229306	−	0.198694i	−0.761934	+	0.647655i	$0.775750\pi$
$602$	−5.32951	+	12.0148i	−0.217214	+	0.489687i
$603$	−21.3569	−	10.0688i	−0.869719	−	0.410032i
$604$	3.86464	−	2.48366i	0.157250	−	0.101059i
$605$	18.2515	+	39.9653i	0.742031	+	1.62482i
$606$	1.60095	−	7.15004i	0.0650343	−	0.290451i
$607$	−25.7205	+	3.69805i	−1.04396	+	0.150099i	−0.642900	−	0.765950i	$-0.722269\pi$
$607$	−25.7205	+	3.69805i	−1.04396	+	0.150099i	−0.401065	+	0.916050i	$0.631360\pi$
$608$	−1.83530	+	4.01875i	−0.0744313	+	0.162982i
$609$	−7.63175	−	4.11960i	−0.309254	−	0.166934i
$610$	29.3582	−	8.62034i	1.18868	−	0.349027i
$611$	45.6920	+	20.8669i	1.84850	+	0.844183i
$612$	−17.4034	−	2.71846i	−0.703489	−	0.109887i
$613$	−23.4081	−	27.0144i	−0.945446	−	1.09110i	−0.995725	−	0.0923676i	$-0.970557\pi$
$613$	−23.4081	−	27.0144i	−0.945446	−	1.09110i	0.0502790	−	0.998735i	$-0.483989\pi$
$614$	−2.65207	−	5.80723i	−0.107029	−	0.234361i
$615$	−31.3388	+	82.4883i	−1.26370	+	3.32625i
$616$	−0.0202430	−	1.85735i	−0.000815615	−	0.0748347i
$617$	−9.43496	+	14.6811i	−0.379837	+	0.591038i	−0.977558	−	0.210666i	$-0.932437\pi$
$617$	−9.43496	+	14.6811i	−0.379837	+	0.591038i	0.597721	+	0.801704i	$0.296073\pi$
$618$	0.969525	−	12.4889i	0.0390000	−	0.502377i
$619$	−10.7569	+	36.6347i	−0.432358	+	1.47247i	0.399111	+	0.916903i	$0.369319\pi$
$619$	−10.7569	+	36.6347i	−0.432358	+	1.47247i	−0.831468	+	0.555572i	$0.812499\pi$
$620$			35.1244i			1.41063i
$621$	16.9272	−	18.2885i	0.679265	−	0.733893i
$622$			16.8006i			0.673643i
$623$	14.4584	+	1.91821i	0.579262	+	0.0768516i
$624$	9.38897	+	0.728874i	0.375859	+	0.0291783i
$625$	57.5850	+	37.0076i	2.30340	+	1.48031i
$626$	1.34784	−	9.37445i	0.0538706	−	0.374679i
$627$	−1.90795	+	5.02202i	−0.0761964	+	0.200560i
$628$	−4.11808	+	1.88066i	−0.164329	+	0.0750466i
$629$	8.79650	+	10.1517i	0.350739	+	0.404775i
$630$	−0.0415874	+	33.1897i	−0.00165688	+	1.32231i
$631$	4.39613	−	9.62617i	0.175007	−	0.383212i	−0.801720	−	0.597700i	$-0.796081\pi$
$631$	4.39613	−	9.62617i	0.175007	−	0.383212i	0.976726	+	0.214489i	$0.0688085\pi$
$632$	0.0785962	+	0.267674i	0.00312639	+	0.0106475i
$633$	−14.7214	+	19.4184i	−0.585122	+	0.771812i
$634$	−8.45460	+	18.5130i	−0.335775	+	0.735245i
$635$	−6.85741	−	47.6944i	−0.272128	−	1.89269i
$636$	1.44451	−	6.45135i	0.0572786	−	0.255813i
$637$	−28.2132	+	25.5445i	−1.11785	+	1.01211i
$638$	−0.718324	−	1.11773i	−0.0284387	−	0.0442515i
$639$	5.97329	−	12.6700i	0.236300	−	0.501216i
$640$	−2.26070	+	3.51771i	−0.0893619	+	0.139050i
$641$	−11.8686	−	10.2842i	−0.468783	−	0.406203i	0.388177	−	0.921585i	$-0.373105\pi$
$641$	−11.8686	−	10.2842i	−0.468783	−	0.406203i	−0.856961	+	0.515381i	$0.827650\pi$
$642$	−4.76522	+	1.74443i	−0.188068	+	0.0688471i
$643$			26.0537i			1.02746i	0.857953	+	0.513729i	$0.171736\pi$
$643$			26.0537i			1.02746i	−0.857953	+	0.513729i	$0.828264\pi$
$644$	−6.12145	+	11.1143i	−0.241219	+	0.437965i
$645$	28.9343	−	21.3869i	1.13929	−	0.842106i
$646$	−24.8893	−	7.30817i	−0.979258	−	0.287536i
$647$	4.73456	−	5.46398i	0.186135	−	0.214811i	−0.655011	−	0.755619i	$-0.727336\pi$
$647$	4.73456	−	5.46398i	0.186135	−	0.214811i	0.841146	+	0.540808i	$0.181882\pi$
$648$	8.27512	−	3.53869i	0.325078	−	0.139013i
$649$	1.25802	+	0.180877i	0.0493817	+	0.00710002i
$650$	57.1057	−	36.6996i	2.23987	−	1.43948i
$651$	−13.2779	+	36.1308i	−0.520404	+	1.41608i
$652$	−4.37897	−	5.05361i	−0.171494	−	0.197914i
$653$	−13.9159	+	2.00081i	−0.544573	+	0.0782977i	−0.409111	−	0.912485i	$-0.634161\pi$
$653$	−13.9159	+	2.00081i	−0.544573	+	0.0782977i	−0.135462	+	0.990783i	$0.543252\pi$
$654$	2.04363	−	0.431577i	0.0799121	−	0.0168760i
$655$	−23.5084	+	6.90268i	−0.918548	+	0.269710i
$656$	−11.6901	+	3.43251i	−0.456421	+	0.134017i
$657$	−0.949842	+	1.06963i	−0.0370569	+	0.0417303i
$658$	−23.3768	+	7.14170i	−0.911324	+	0.278412i
$659$	35.5926	−	30.8412i	1.38649	−	1.20140i	0.432474	−	0.901646i	$-0.357641\pi$
$659$	35.5926	−	30.8412i	1.38649	−	1.20140i	0.954016	−	0.299754i	$-0.0969047\pi$
$660$	−2.46390	+	4.44783i	−0.0959072	+	0.173132i
$661$	12.6898	+	19.7458i	0.493577	+	0.768021i	0.995283	−	0.0970173i	$-0.0309302\pi$
$661$	12.6898	+	19.7458i	0.493577	+	0.768021i	−0.501705	+	0.865039i	$0.667294\pi$
$662$	−8.94121	−	1.28555i	−0.347510	−	0.0499644i
$663$	3.60939	+	55.1749i	0.140177	+	2.14282i
$664$	1.95989	+	1.69825i	0.0760583	+	0.0659049i
$665$	−6.42831	+	48.4528i	−0.249279	+	1.87892i
$666$	−6.56134	−	2.01350i	−0.254247	−	0.0780216i
$667$	0.515839	+	9.06156i	0.0199734	+	0.350865i
$668$	−15.6290			−0.604702
$669$	0.0290574	+	0.0793755i	0.00112342	+	0.00306884i
$670$	−24.8720	−	21.5517i	−0.960891	−	0.832616i
$671$	4.32166	+	2.77736i	0.166836	+	0.107219i
$672$	−3.65525	+	2.76390i	−0.141004	+	0.106620i
$673$	−33.9996	+	21.8502i	−1.31059	+	0.842263i	−0.994323	−	0.106408i	$-0.966065\pi$
$673$	−33.9996	+	21.8502i	−1.31059	+	0.842263i	−0.316265	+	0.948671i	$0.602429\pi$
$674$	−5.51389	+	2.51811i	−0.212387	+	0.0969940i
$675$	32.1235	−	56.3627i	1.23644	−	2.16940i
$676$	−2.35692	−	16.3927i	−0.0906508	−	0.630490i
$677$	−2.98008	+	6.52547i	−0.114534	+	0.250794i	−0.958214	−	0.286052i	$-0.907657\pi$
$677$	−2.98008	+	6.52547i	−0.114534	+	0.250794i	0.843680	+	0.536846i	$0.180384\pi$
$678$	−12.3042	+	16.2300i	−0.472539	+	0.623308i
$679$	−9.20187	−	19.5817i	−0.353135	−	0.751476i
$680$	−22.3329	−	10.1991i	−0.856429	−	0.391118i
$681$	22.2654	+	22.5377i	0.853214	+	0.863645i
$682$	−4.45681	+	3.86184i	−0.170660	+	0.147878i
$683$	39.4623	−	18.0218i	1.50998	−	0.689587i	0.523288	−	0.852156i	$-0.324705\pi$
$683$	39.4623	−	18.0218i	1.50998	−	0.689587i	0.986697	+	0.162569i	$0.0519781\pi$
$684$	12.7615	−	3.57928i	0.487950	−	0.136857i
$685$	73.8964	+	10.6247i	2.82344	+	0.405949i
$686$	2.03504	−	18.4081i	0.0776983	−	0.702825i
$687$	33.8182	+	2.62534i	1.29024	+	0.100163i
$688$	4.76665	+	1.39962i	0.181727	+	0.0533599i
$689$	−20.7527			−0.790615
$690$	29.6011	−	18.1726i	1.12690	−	0.691818i
$691$			19.5447i			0.743517i	0.928330	+	0.371758i	$0.121245\pi$
$691$			19.5447i			0.743517i	−0.928330	+	0.371758i	$0.878755\pi$
$692$	0.265446	+	0.0779421i	0.0100908	+	0.00296291i
$693$	−4.21589	+	3.64385i	−0.160148	+	0.138418i
$694$	−21.4357	−	13.7759i	−0.813688	−	0.522926i
$695$	−54.9840	−	7.90551i	−2.08566	−	0.299873i
$696$	−1.16416	+	3.06426i	−0.0441276	+	0.116150i
$697$	−29.7169	−	65.0710i	−1.12561	−	2.46474i
$698$	−17.8171	−	20.5620i	−0.674388	−	0.778285i
$699$	23.4678	−	23.1844i	0.887634	−	0.876913i
$700$	−8.96033	+	31.7939i	−0.338669	+	1.20169i
$701$	−7.77667	−	26.4849i	−0.293721	−	1.00032i	−0.965680	−	0.259733i	$-0.916365\pi$
$701$	−7.77667	−	26.4849i	−0.293721	−	1.00032i	0.671960	−	0.740588i	$-0.265453\pi$
$702$	−16.5156	−	22.9214i	−0.623339	−	0.865114i
$703$	−9.19401	−	4.19877i	−0.346759	−	0.158359i
$704$	−0.694907	+	0.0999126i	−0.0261903	+	0.00376560i
$705$	65.2957	+	14.6203i	2.45918	+	0.550631i
$706$	26.5621	−	12.1305i	0.999678	−	0.456538i
$707$	8.37820	−	7.42115i	0.315095	−	0.279101i
$708$	−1.48599	−	2.76114i	−0.0558470	−	0.103770i
$709$	5.96302	+	3.83220i	0.223946	+	0.143921i	0.647803	−	0.761808i	$-0.275688\pi$
$709$	5.96302	+	3.83220i	0.223946	+	0.143921i	−0.423857	+	0.905729i	$0.639324\pi$
$710$	12.7856	−	14.7553i	0.479833	−	0.553757i
$711$	0.460997	−	0.698515i	0.0172887	−	0.0261963i
$712$		−	5.51263i		−	0.206595i
$713$	39.4843	−	7.99007i	1.47870	−	0.299231i
$714$	−19.1173	−	18.9337i	−0.715445	−	0.708578i
$715$	15.3147	+	4.49679i	0.572736	+	0.168170i
$716$	−8.31047	−	7.20107i	−0.310577	−	0.269116i
$717$	1.20769	+	18.4614i	0.0451020	+	0.689452i
$718$	1.11310	−	7.74178i	0.0415405	−	0.288921i
$719$	−26.5990	+	17.0941i	−0.991975	+	0.637503i	−0.932668	−	0.360736i	$-0.882525\pi$
$719$	−26.5990	+	17.0941i	−0.991975	+	0.637503i	−0.0593069	+	0.998240i	$0.518889\pi$
$720$	12.4376	−	1.63426i	0.463523	−	0.0609054i
$721$	12.3721	−	14.5966i	0.460761	−	0.543606i
$722$	0.513400	−	0.0738158i	0.0191068	−	0.00274714i
$723$	−32.0979	+	6.77849i	−1.19373	+	0.252095i
$724$	−6.30960	−	21.4885i	−0.234494	−	0.798615i
$725$	6.65686	+	22.6712i	0.247229	+	0.841986i
$726$	17.8061	−	3.76033i	0.660848	−	0.139559i
$727$	−45.3277	+	6.51714i	−1.68111	+	0.241707i	−0.915708	−	0.401844i	$-0.868369\pi$
$727$	−45.3277	+	6.51714i	−1.68111	+	0.241707i	−0.765403	+	0.643551i	$0.777460\pi$
$728$	10.9735	+	9.30115i	0.406705	+	0.344724i
$729$	−24.1350	−	12.1039i	−0.893887	−	0.448292i
$730$	−1.67736	+	1.07797i	−0.0620817	+	0.0398975i
$731$	−4.15115	+	28.8719i	−0.153536	+	1.06787i
$732$	−0.827330	−	12.6470i	−0.0305790	−	0.467446i
$733$	−26.0498	−	22.5723i	−0.962173	−	0.833727i	0.0239555	−	0.999713i	$-0.492374\pi$
$733$	−26.0498	−	22.5723i	−0.962173	−	0.833727i	−0.986128	+	0.165986i	$0.946919\pi$
$734$	9.64088	+	2.83082i	0.355852	+	0.104487i
$735$	−29.7405	+	41.0586i	−1.09699	+	1.51447i
$736$	4.46862	+	1.74110i	0.164715	+	0.0641780i
$737$		−	5.52548i		−	0.203534i
$738$	30.5061	+	20.1330i	1.12294	+	0.741106i
$739$	−3.89742	+	4.49786i	−0.143369	+	0.165456i	−0.822892	−	0.568197i	$-0.807641\pi$
$739$	−3.89742	+	4.49786i	−0.143369	+	0.165456i	0.679524	+	0.733654i	$0.262187\pi$
$740$	−8.04775	−	5.17198i	−0.295841	−	0.190126i
$741$	−19.7170	−	36.6365i	−0.724323	−	1.34587i
$742$	7.55950	−	6.69597i	0.277518	−	0.245817i
$743$	21.5898	−	9.85972i	0.792052	−	0.361718i	0.0220481	−	0.999757i	$-0.492981\pi$
$743$	21.5898	−	9.85972i	0.792052	−	0.361718i	0.770004	+	0.638039i	$0.220254\pi$
$744$	14.1976	+	3.17895i	0.520508	+	0.116546i
$745$	57.2498	−	8.23128i	2.09747	−	0.301571i
$746$	24.3019	+	11.0983i	0.889755	+	0.406338i
$747$	0.0945350	−	7.77933i	0.00345885	−	0.284631i
$748$	−1.16132	−	3.95511i	−0.0424622	−	0.144613i
$749$	−7.46077	−	2.10264i	−0.272610	−	0.0768286i
$750$	38.5653	−	38.0995i	1.40821	−	1.39120i
$751$	12.3821	+	14.2897i	0.451829	+	0.521438i	0.935268	−	0.353940i	$-0.115158\pi$
$751$	12.3821	+	14.2897i	0.451829	+	0.521438i	−0.483440	+	0.875378i	$0.660613\pi$
$752$	3.83791	+	8.40386i	0.139954	+	0.306457i
$753$	−6.24403	+	16.4352i	−0.227545	+	0.598933i
$754$	10.1850	+	1.46438i	0.370915	+	0.0533296i
$755$	−16.1601	−	10.3854i	−0.588125	−	0.377965i
$756$	13.4118	+	3.02066i	0.487781	+	0.109860i
$757$	−0.975535	−	0.286443i	−0.0354564	−	0.0104109i	0.263956	−	0.964535i	$-0.414973\pi$
$757$	−0.975535	−	0.286443i	−0.0354564	−	0.0104109i	−0.299413	+	0.954124i	$0.596791\pi$
$758$			29.7173i			1.07938i
$759$	5.56042	+	1.75795i	0.201830	+	0.0638095i
$760$	18.4739			0.670119
$761$	−44.4274	−	13.0451i	−1.61049	−	0.472883i	−0.652052	−	0.758174i	$-0.726092\pi$
$761$	−44.4274	−	13.0451i	−1.61049	−	0.472883i	−0.958441	+	0.285291i	$0.907910\pi$
$762$	−19.8991	−	1.54478i	−0.720867	−	0.0559616i
$763$	2.91649	+	1.29369i	0.105584	+	0.0468348i
$764$	−9.00678	−	1.29498i	−0.325854	−	0.0468507i
$765$	19.8907	+	70.9182i	0.719150	+	2.56405i
$766$	13.8164	−	6.30974i	0.499207	−	0.227980i
$767$	−7.43878	+	6.44574i	−0.268599	+	0.232742i
$768$	1.21728	+	1.23216i	0.0439248	+	0.0444619i
$769$	17.1802	+	7.84594i	0.619534	+	0.282932i	0.700353	−	0.713797i	$-0.253026\pi$
$769$	17.1802	+	7.84594i	0.619534	+	0.282932i	−0.0808183	+	0.996729i	$0.525753\pi$
$770$	−7.02952	+	3.30333i	−0.253326	+	0.119044i
$771$	27.8849	−	36.7819i	1.00425	−	1.32467i
$772$	6.83162	−	14.9592i	0.245875	−	0.538392i
$773$	−5.04380	−	35.0804i	−0.181413	−	1.26175i	−0.853426	−	0.521214i	$-0.825479\pi$
$773$	−5.04380	−	35.0804i	−0.181413	−	1.26175i	0.672013	−	0.740539i	$-0.265430\pi$
$774$	−6.02602	−	13.6311i	−0.216601	−	0.489959i
$775$	95.3964	−	43.5661i	3.42674	−	1.56494i
$776$	−6.87947	+	4.42117i	−0.246959	+	0.158711i
$777$	−6.32318	−	8.36242i	−0.226843	−	0.300000i
$778$	5.63971	+	3.62442i	0.202193	+	0.129942i
$779$	40.6798	+	35.2492i	1.45750	+	1.26293i
$780$	−13.5369	−	36.9783i	−0.484697	−	1.32404i
$781$	3.27799			0.117296
$782$	−6.38482	+	27.4251i	−0.228321	+	0.980721i
$783$	9.27493	−	3.26807i	0.331459	−	0.116791i
$784$	−6.99834	+	0.152566i	−0.249941	+	0.00544880i
$785$	14.3067	+	12.3968i	0.510629	+	0.442462i
$786$	0.662479	+	10.1270i	0.0236299	+	0.361218i
$787$	3.91643	+	0.563097i	0.139606	+	0.0200723i	0.211763	−	0.977321i	$-0.432079\pi$
$787$	3.91643	+	0.563097i	0.139606	+	0.0200723i	−0.0721577	+	0.997393i	$0.522988\pi$
$788$	−1.09985	−	1.71140i	−0.0391805	−	0.0609661i
$789$	6.24533	−	11.2741i	0.222340	−	0.401368i
$790$	0.881609	−	0.763918i	0.0313662	−	0.0271790i
$791$	−29.7532	+	9.08969i	−1.05790	+	0.323192i
$792$	1.57485	+	1.39848i	0.0559599	+	0.0496928i
$793$	−38.1731	+	11.2086i	−1.35557	+	0.398030i
$794$	6.39804	−	1.87863i	0.227058	−	0.0666702i
$795$	−27.0478	+	5.71201i	−0.959287	+	0.202584i
$796$	−25.4025	+	3.65233i	−0.900367	+	0.129453i
$797$	19.4008	+	22.3897i	0.687211	+	0.793083i	0.986965	−	0.160933i	$-0.0514503\pi$
$797$	19.4008	+	22.3897i	0.687211	+	0.793083i	−0.299755	+	0.954016i	$0.596905\pi$
$798$	19.0032	+	6.98362i	0.672706	+	0.247217i
$799$	−45.6338	+	29.3270i	−1.61441	+	1.03752i
$800$	12.3580	+	1.77681i	0.436921	+	0.0628197i
$801$	−12.6292	+	10.6773i	−0.446230	+	0.377266i
$802$	−22.5595	+	26.0350i	−0.796604	+	0.919330i
$803$	−0.321201	−	0.0943130i	−0.0113349	−	0.00332824i
$804$	−10.9624	+	8.10292i	−0.386615	+	0.285768i
$805$	52.9082	+	3.97751i	1.86477	+	0.140189i
$806$		−	45.6707i		−	1.60868i
$807$	1.38509	−	0.507046i	0.0487573	−	0.0178489i
$808$	−3.19704	−	2.77025i	−0.112472	−	0.0974572i
$809$	−8.74225	+	13.6032i	−0.307361	+	0.478264i	−0.960231	−	0.279207i	$-0.909929\pi$
$809$	−8.74225	+	13.6032i	−0.307361	+	0.478264i	0.652870	+	0.757470i	$0.273565\pi$
$810$	−27.8343	−	25.3287i	−0.977998	−	0.889958i
$811$	−11.2076	−	17.4393i	−0.393552	−	0.612378i	0.586777	−	0.809748i	$-0.300396\pi$
$811$	−11.2076	−	17.4393i	−0.393552	−	0.612378i	−0.980329	+	0.197370i	$0.936760\pi$
$812$	−4.18253	+	2.75282i	−0.146778	+	0.0966049i
$813$	8.37921	−	37.4225i	0.293872	−	1.31246i
$814$	−0.228578	−	1.58979i	−0.00801165	−	0.0557223i
$815$	−11.6155	+	25.4345i	−0.406874	+	0.890931i
$816$	−6.14381	+	8.10407i	−0.215076	+	0.283699i
$817$	−6.18350	−	21.0591i	−0.216333	−	0.736763i
$818$	−4.53452	+	9.92921i	−0.158546	+	0.347167i
$819$	0.0540742	−	43.1551i	0.00188951	−	1.50796i
$820$	33.3624	+	38.5023i	1.16507	+	1.34456i
$821$	−13.7674	+	6.28735i	−0.480484	+	0.219430i	−0.640907	−	0.767619i	$-0.721442\pi$
$821$	−13.7674	+	6.28735i	−0.480484	+	0.219430i	0.160423	+	0.987048i	$0.448714\pi$
$822$	10.9826	−	28.9079i	0.383063	−	1.00828i
$823$	1.49576	−	10.4032i	0.0521389	−	0.362634i	−0.947003	−	0.321224i	$-0.895906\pi$
$823$	1.49576	−	10.4032i	0.0521389	−	0.362634i	0.999142	−	0.0414101i	$-0.0131850\pi$
$824$	−6.08408	−	3.91000i	−0.211949	−	0.136211i
$825$	15.1362	+	1.17504i	0.526974	+	0.0409095i
$826$	0.629941	−	4.74812i	0.0219184	−	0.165208i
$827$		−	34.7641i		−	1.20887i	−0.796656	−	0.604433i	$-0.793400\pi$
$827$		−	34.7641i		−	1.20887i	0.796656	−	0.604433i	$-0.206600\pi$
$828$	−4.66642	−	13.6097i	−0.162169	−	0.472971i
$829$			47.2401i			1.64072i	0.571849	+	0.820359i	$0.306226\pi$
$829$			47.2401i			1.64072i	−0.571849	+	0.820359i	$0.693774\pi$
$830$	3.05509	−	10.4047i	0.106044	−	0.361151i
$831$	3.14949	−	40.5701i	0.109255	−	1.40736i
$832$	2.93948	−	4.57392i	0.101908	−	0.158572i
$833$	−6.73446	−	40.5448i	−0.233335	−	1.40479i
$834$	−8.17182	+	21.5095i	−0.282967	+	0.744812i
$835$	27.1485	+	59.4469i	0.939512	+	2.05724i
$836$	2.03116	+	2.34408i	0.0702491	+	0.0810718i
$837$	−20.2162	−	38.6832i	−0.698776	−	1.33709i
$838$	17.4061	+	7.94909i	0.601283	+	0.274597i
$839$	22.5930	−	6.63390i	0.779997	−	0.229028i	0.132588	−	0.991171i	$-0.457671\pi$
$839$	22.5930	−	6.63390i	0.779997	−	0.229028i	0.647408	+	0.762144i	$0.275853\pi$
$840$	16.8623	+	9.10220i	0.581804	+	0.314056i
$841$	10.5592	−	23.1213i	0.364109	−	0.797288i
$842$	−11.0249	+	1.58515i	−0.379945	+	0.0546278i
$843$	6.39523	−	28.5618i	0.220263	−	0.983721i
$844$	5.84439	+	12.7974i	0.201172	+	0.440506i
$845$	−58.2579	+	37.4401i	−2.00413	+	1.28798i
$846$	11.8192	−	25.0698i	0.406354	−	0.861918i
$847$	25.4114	+	11.2719i	0.873147	+	0.387309i
$848$	−2.88463	−	2.49955i	−0.0990587	−	0.0858348i
$849$	−3.97940	−	10.8704i	−0.136573	−	0.373073i
$850$			73.3056i			2.51436i
$851$	−3.98326	+	10.2232i	−0.136545	+	0.350447i
$852$	−4.80705	−	6.50346i	−0.164687	−	0.222805i
$853$	5.82060	−	19.8232i	0.199294	−	0.678732i	−0.797826	−	0.602888i	$-0.794017\pi$
$853$	5.82060	−	19.8232i	0.199294	−	0.678732i	0.997120	−	0.0758442i	$-0.0241652\pi$
$854$	10.2886	−	16.3997i	0.352070	−	0.561185i
$855$	−35.7819	−	42.3229i	−1.22371	−	1.44741i
$856$	−0.416947	+	2.89993i	−0.0142510	+	0.0991176i
$857$	−44.9973	+	28.9180i	−1.53708	+	0.987821i	−0.548665	+	0.836042i	$0.684864\pi$
$857$	−44.9973	+	28.9180i	−1.53708	+	0.987821i	−0.988415	+	0.151779i	$0.951500\pi$
$858$	3.20370	−	5.78332i	0.109372	−	0.197439i
$859$	−19.0761	+	16.5295i	−0.650869	+	0.563981i	−0.916471	−	0.400102i	$-0.868975\pi$
$859$	−19.0761	+	16.5295i	−0.650869	+	0.563981i	0.265602	+	0.964083i	$0.414429\pi$
$860$	−2.95635	−	20.5619i	−0.100811	−	0.701153i
$861$	19.7634	+	52.2173i	0.673536	+	1.77956i
$862$	−13.9652	+	4.10056i	−0.475657	+	0.139666i
$863$	0.518970	+	1.76745i	0.0176659	+	0.0601646i	0.967854	−	0.251512i	$-0.0809277\pi$
$863$	0.518970	+	1.76745i	0.0176659	+	0.0601646i	−0.950188	+	0.311676i	$0.899110\pi$
$864$	0.465093	−	5.17530i	0.0158228	−	0.176067i
$865$	−0.164634	−	1.14505i	−0.00559772	−	0.0389330i
$866$	−8.60554	−	9.93132i	−0.292428	−	0.337480i
$867$	−26.4753	−	14.6661i	−0.899147	−	0.498087i
$868$	14.7359	+	16.6363i	0.500169	+	0.564672i
$869$	0.193861	+	0.0278731i	0.00657630	+	0.000945529i
$870$	13.6776	−	0.894747i	0.463713	−	0.0303348i
$871$	32.3400	+	28.0227i	1.09580	+	0.949514i
$872$	0.339744	−	1.15706i	0.0115052	−	0.0391831i
$873$	23.4534	+	7.19724i	0.793779	+	0.243590i
$874$	−4.20243	−	20.7670i	−0.142149	−	0.702455i
$875$	81.8329	−	12.6775i	2.76646	−	0.428579i
$876$	0.283914	+	0.775562i	0.00959257	+	0.0262038i
$877$	6.96158	−	8.03409i	0.235076	−	0.271292i	−0.625939	−	0.779872i	$-0.715284\pi$
$877$	6.96158	−	8.03409i	0.235076	−	0.271292i	0.861015	+	0.508580i	$0.169830\pi$
$878$	−14.2512	−	9.15871i	−0.480956	−	0.309092i
$879$	−6.98579	−	12.9804i	−0.235625	−	0.437818i
$880$	1.58713	+	2.46962i	0.0535021	+	0.0832509i
$881$	5.30172	+	11.6092i	0.178620	+	0.391122i	0.977671	−	0.210140i	$-0.0673920\pi$
$881$	5.30172	+	11.6092i	0.178620	+	0.391122i	−0.799052	+	0.601262i	$0.794665\pi$
$882$	13.9045	+	15.7374i	0.468189	+	0.529904i
$883$	−0.136951	−	0.952513i	−0.00460876	−	0.0320546i	0.987387	−	0.158323i	$-0.0506089\pi$
$883$	−0.136951	−	0.952513i	−0.00460876	−	0.0320546i	−0.991996	+	0.126269i	$0.959700\pi$
$884$	29.0385	+	13.2614i	0.976670	+	0.446030i
$885$	−7.92112	+	10.4485i	−0.266266	+	0.351221i
$886$	6.83591	−	2.00720i	0.229657	−	0.0674333i
$887$	10.2092	−	22.3550i	0.342791	−	0.750607i	−0.657204	−	0.753712i	$-0.728261\pi$
$887$	10.2092	−	22.3550i	0.342791	−	0.750607i	0.999995	+	0.00310530i	$0.000988450\pi$
$888$	−2.81892	+	2.78487i	−0.0945967	+	0.0934541i
$889$	−23.2573	−	19.7130i	−0.780026	−	0.661151i
$890$	−20.9681	+	9.57579i	−0.702851	+	0.320981i
$891$	0.153543	−	6.31661i	0.00514387	−	0.211614i
$892$	0.0483049	+	0.00694520i	0.00161737	+	0.000232543i
$893$	22.0672	−	34.3372i	0.738450	−	1.14905i
$894$	1.85428	−	23.8858i	0.0620163	−	0.798860i
$895$	−12.9544	+	44.1188i	−0.433019	+	1.47473i
$896$	0.405048	+	2.61456i	0.0135317	+	0.0873464i
$897$	−38.4890	+	23.6289i	−1.28511	+	0.788948i
$898$	37.5469			1.25296
$899$	15.2531	+	4.47872i	0.508721	+	0.149374i
$900$	−19.8654	−	31.7530i	−0.662181	−	1.05843i
$901$	12.1162	−	18.8532i	0.403651	−	0.628093i
$902$	−1.21729	+	8.46647i	−0.0405315	+	0.281903i
$903$	4.73186	−	22.2685i	0.157467	−	0.741051i
$904$	4.88476	+	10.6961i	0.162465	+	0.355748i
$905$	−70.7744	+	61.3264i	−2.35262	+	2.03856i
$906$	−5.66045	+	5.59208i	−0.188056	+	0.185784i
$907$	−8.30075	+	18.1761i	−0.275622	+	0.603527i	−0.995930	−	0.0901263i	$-0.971273\pi$
$907$	−8.30075	+	18.1761i	−0.275622	+	0.603527i	0.720309	+	0.693654i	$0.244000\pi$
$908$	17.5502	−	5.15321i	0.582424	−	0.171015i
$909$	−0.154209	+	12.6899i	−0.00511479	+	0.420899i
$910$	16.3166	−	57.8959i	0.540889	−	1.91923i
$911$	38.2065	−	5.49326i	1.26584	−	0.182000i	0.523500	−	0.852026i	$-0.324626\pi$
$911$	38.2065	−	5.49326i	1.26584	−	0.182000i	0.742338	+	0.670026i	$0.233717\pi$
$912$	1.67199	−	7.46729i	0.0553651	−	0.247267i
$913$	1.65611	−	0.756319i	0.0548092	−	0.0250305i
$914$	−9.99734	−	15.5562i	−0.330682	−	0.514552i
$915$	−46.6675	+	25.1155i	−1.54278	+	0.830292i
$916$	10.5877	−	16.4748i	0.349829	−	0.544344i
$917$	−8.23855	+	13.1319i	−0.272061	+	0.433655i
$918$	30.4659	−	1.62148i	1.00552	−	0.0535168i
$919$	−14.1366			−0.466324			−0.233162	−	0.972438i	$-0.574907\pi$
$919$	−14.1366			−0.466324			−0.233162	+	0.972438i	$0.574907\pi$
$920$	−1.13974	−	20.0214i	−0.0375762	−	0.660087i
$921$	6.57272	+	8.89223i	0.216578	+	0.293009i
$922$	−3.37750	+	11.5027i	−0.111232	+	0.378821i
$923$	−16.6245	+	19.1857i	−0.547201	+	0.631504i
$924$	0.699021	+	3.14035i	0.0229961	+	0.103310i
$925$	−4.06495	+	28.2723i	−0.133655	+	0.929589i
$926$	−0.170998	−	0.266078i	−0.00561933	−	0.00874385i
$927$	2.82655	+	21.5116i	0.0928361	+	0.706533i
$928$	1.23934	+	1.43027i	0.0406833	+	0.0469511i
$929$	−2.26951	−	15.7848i	−0.0744601	−	0.517881i	−0.992581	−	0.121582i	$-0.961203\pi$
$929$	−2.26951	−	15.7848i	−0.0744601	−	0.517881i	0.918121	−	0.396299i	$-0.129706\pi$
$930$	−12.5705	−	59.5244i	−0.412202	−	1.95188i
$931$	17.2829	+	25.6460i	0.566424	+	0.840513i
$932$	−5.36588	−	18.2745i	−0.175765	−	0.598602i
$933$	−6.01267	−	28.4716i	−0.196846	−	0.932117i
$934$	−27.2959	+	3.92456i	−0.893150	+	0.128416i
$935$	−13.0265	+	11.2875i	−0.426012	+	0.369142i
$936$	−16.1721	+	2.12496i	−0.528601	+	0.0694564i
$937$	−2.89022	−	4.49727i	−0.0944193	−	0.146919i	0.790830	−	0.612035i	$-0.209649\pi$
$937$	−2.89022	−	4.49727i	−0.0944193	−	0.146919i	−0.885250	+	0.465116i	$0.846013\pi$
$938$	−20.8220	+	0.226937i	−0.679863	+	0.00740975i
$939$	1.07081	+	16.3690i	0.0349447	+	0.534183i
$940$	25.2985	−	29.1961i	0.825148	−	0.952271i
$941$	−0.856972	−	0.251630i	−0.0279365	−	0.00820289i	0.267734	−	0.963493i	$-0.413725\pi$
$941$	−0.856972	−	0.251630i	−0.0279365	−	0.00820289i	−0.295671	+	0.955290i	$0.595543\pi$
$942$	6.30574	−	4.66090i	0.205452	−	0.151860i
$943$	35.6922	−	46.2621i	1.16230	−	1.50650i
$944$	−1.81035			−0.0589218
$945$	−11.8076	−	56.2606i	−0.384101	−	1.83016i
$946$	2.28397	−	2.63584i	0.0742583	−	0.0856987i
$947$	−5.90050	+	9.18135i	−0.191740	+	0.298354i	−0.923792	−	0.382896i	$-0.874927\pi$
$947$	−5.90050	+	9.18135i	−0.191740	+	0.298354i	0.732051	+	0.681250i	$0.238563\pi$
$948$	−0.228991	−	0.425492i	−0.00743729	−	0.0138193i
$949$	2.18099	−	1.40164i	0.0707979	−	0.0454990i
$950$	−22.9138	−	50.1743i	−0.743423	−	1.62787i
$951$	7.70228	−	34.3992i	0.249764	−	1.11547i
$952$	−14.8566	+	4.53874i	−0.481505	+	0.147101i
$953$	−41.7700	−	19.0757i	−1.35306	−	0.617923i	−0.398841	−	0.917020i	$-0.630587\pi$
$953$	−41.7700	−	19.0757i	−1.35306	−	0.617923i	−0.954223	+	0.299097i	$0.903315\pi$
$954$	−0.139140	+	11.4499i	−0.00450483	+	0.370704i
$955$	10.7197	+	36.5080i	0.346882	+	1.18137i
$956$	9.71619	+	4.43724i	0.314244	+	0.143510i
$957$	1.61734	+	1.63712i	0.0522813	+	0.0529205i
$958$	−3.00923	+	2.60751i	−0.0972238	+	0.0842449i
$959$	39.4576	−	25.9698i	1.27415	−	0.838608i
$960$	2.57221	−	6.77044i	0.0830177	−	0.218515i
$961$	5.62981	−	39.1562i	0.181607	−	1.26310i
$962$	10.4641	+	6.72488i	0.337377	+	0.216819i
$963$	7.45119	−	4.66163i	0.240111	−	0.150219i
$964$	−5.33615	+	18.1732i	−0.171866	+	0.585321i
$965$	−68.7662			−2.21366
$966$	6.39622	−	21.0259i	0.205795	−	0.676497i
$967$	51.2539			1.64821			0.824107	−	0.566434i	$-0.191678\pi$
$967$	51.2539			1.64821			0.824107	+	0.566434i	$0.191678\pi$
$968$	2.96020	−	10.0815i	0.0951444	−	0.324032i
$969$	44.7948	+	3.47746i	1.43902	+	0.111712i
$970$	28.7666	+	18.4872i	0.923640	+	0.593587i
$971$	−3.76897	+	26.2138i	−0.120952	+	0.841240i	0.835529	+	0.549446i	$0.185161\pi$
$971$	−3.76897	+	26.2138i	−0.120952	+	0.841240i	−0.956481	+	0.291794i	$0.905748\pi$
$972$	−12.7572	+	8.95846i	−0.409187	+	0.287343i
$973$	−29.3592	+	19.3233i	−0.941211	+	0.619477i
$974$	−11.5738	+	10.0287i	−0.370848	+	0.321342i
$975$	−83.6413	+	82.6311i	−2.67867	+	2.64631i
$976$	−6.65609	−	3.03974i	−0.213056	−	0.0972996i
$977$	−9.90376	−	33.7291i	−0.316849	−	1.07909i	−0.951846	−	0.306575i	$-0.900817\pi$
$977$	−9.90376	−	33.7291i	−0.316849	−	1.07909i	0.634997	−	0.772515i	$-0.281001\pi$
$978$	9.22954	+	6.99705i	0.295128	+	0.223741i
$979$	−3.52042	−	1.60772i	−0.112513	−	0.0513830i
$980$	12.7369	+	26.3541i	0.406864	+	0.841852i
$981$	−3.30883	+	1.46276i	−0.105643	+	0.0467024i
$982$	−4.55979	−	9.98454i	−0.145509	−	0.318620i
$983$	10.5463	−	6.77767i	0.336373	−	0.216174i	−0.361539	−	0.932357i	$-0.617749\pi$
$983$	10.5463	−	6.77767i	0.336373	−	0.216174i	0.697913	+	0.716183i	$0.254112\pi$
$984$	18.5824	−	10.0007i	0.592386	−	0.318810i
$985$	−4.59904	+	7.15624i	−0.146537	+	0.228017i
$986$	−7.27674	+	8.39781i	−0.231739	+	0.267441i
$987$	37.0602	−	20.4691i	1.17964	−	0.651537i
$988$	−24.0208			−0.764203
$989$	−22.4416	+	8.00070i	−0.713602	+	0.254408i
$990$	2.58370	−	8.41942i	0.0821153	−	0.267587i
$991$	−1.61727	−	0.474873i	−0.0513743	−	0.0150848i	0.255944	−	0.966691i	$-0.417614\pi$
$991$	−1.61727	−	0.474873i	−0.0513743	−	0.0150848i	−0.307319	+	0.951607i	$0.599432\pi$
$992$	5.50078	−	6.34824i	0.174650	−	0.201557i
$993$	15.6125	−	1.02133i	0.495448	−	0.0324108i
$994$	−0.134630	−	12.3527i	−0.00427021	−	0.391802i
$995$	58.0179	+	90.2776i	1.83929	+	2.86199i
$996$	−3.92914	−	2.17657i	−0.124500	−	0.0689672i
$997$	−16.8839	+	14.6300i	−0.534718	+	0.463336i	−0.879872	−	0.475210i	$-0.842372\pi$
$997$	−16.8839	+	14.6300i	−0.534718	+	0.463336i	0.345154	+	0.938546i	$0.387827\pi$
$998$	25.1224	−	3.61206i	0.795237	−	0.114338i
$999$	11.8399	+	1.06403i	0.374599	+	0.0336644i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.t.a.41.18	yes	640
3.2	odd	2	inner	966.2.t.a.41.36	yes	640
7.6	odd	2	inner	966.2.t.a.41.15	✓	640
21.20	even	2	inner	966.2.t.a.41.61	yes	640
23.9	even	11	inner	966.2.t.a.377.61	yes	640
69.32	odd	22	inner	966.2.t.a.377.15	yes	640
161.55	odd	22	inner	966.2.t.a.377.36	yes	640
483.377	even	22	inner	966.2.t.a.377.18	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.t.a.41.15	✓	640	7.6	odd	2	inner
966.2.t.a.41.18	yes	640	1.1	even	1	trivial
966.2.t.a.41.36	yes	640	3.2	odd	2	inner
966.2.t.a.41.61	yes	640	21.20	even	2	inner
966.2.t.a.377.15	yes	640	69.32	odd	22	inner
966.2.t.a.377.18	yes	640	483.377	even	22	inner
966.2.t.a.377.36	yes	640	161.55	odd	22	inner
966.2.t.a.377.61	yes	640	23.9	even	11	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:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.t (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.281733 + 0.959493i) q^{2} +(0.134057 - 1.72686i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-0.595091 + 4.13895i) q^{5} +(1.61914 + 0.615138i) q^{6} +(1.45457 + 2.21003i) q^{7} +(0.755750 - 0.654861i) q^{8} +(-2.96406 - 0.462995i) q^{9} +O(q^{10})\)	\(q+(-0.281733 + 0.959493i) q^{2} +(0.134057 - 1.72686i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-0.595091 + 4.13895i) q^{5} +(1.61914 + 0.615138i) q^{6} +(1.45457 + 2.21003i) q^{7} +(0.755750 - 0.654861i) q^{8} +(-2.96406 - 0.462995i) q^{9} +(-3.80364 - 1.73706i) q^{10} +(-0.197791 - 0.673615i) q^{11} +(-1.04638 + 1.38025i) q^{12} +(4.94570 + 2.25862i) q^{13} +(-2.53031 + 0.773016i) q^{14} +(7.06759 + 1.58249i) q^{15} +(0.415415 + 0.909632i) q^{16} +(-4.93939 + 3.17435i) q^{17} +(1.27931 - 2.71355i) q^{18} +(2.38855 - 3.71665i) q^{19} +(2.73831 - 3.16018i) q^{20} +(4.01139 - 2.21557i) q^{21} +0.702053 q^{22} +(-4.17535 - 2.35933i) q^{23} +(-1.02954 - 1.39286i) q^{24} +(-11.9793 - 3.51745i) q^{25} +(-3.56050 + 4.10903i) q^{26} +(-1.19688 + 5.05643i) q^{27} +(-0.0288340 - 2.64559i) q^{28} +(-1.02318 - 1.59209i) q^{29} +(-3.50956 + 6.33547i) q^{30} +(-6.34824 + 5.50078i) q^{31} +(-0.989821 + 0.142315i) q^{32} +(-1.18975 + 0.251254i) q^{33} +(-1.65418 - 5.63363i) q^{34} +(-10.0128 + 4.70524i) q^{35} +(2.24321 + 1.99199i) q^{36} +(-0.325585 - 2.26449i) q^{37} +(2.89317 + 3.33890i) q^{38} +(4.56332 - 8.23772i) q^{39} +(2.26070 + 3.51771i) q^{40} +(-1.73391 + 12.0596i) q^{41} +(0.995681 + 4.47310i) q^{42} +(3.25328 - 3.75448i) q^{43} +(-0.197791 + 0.673615i) q^{44} +(3.68020 - 11.9926i) q^{45} +(3.44010 - 3.34152i) q^{46} +9.23875 q^{47} +(1.62649 - 0.595419i) q^{48} +(-2.76844 + 6.42929i) q^{49} +(6.74993 - 10.5031i) q^{50} +(4.81949 + 8.95516i) q^{51} +(-2.93948 - 4.57392i) q^{52} +(-3.47199 + 1.58560i) q^{53} +(-4.51441 - 2.57296i) q^{54} +(2.90576 - 0.417786i) q^{55} +(2.54655 + 0.717684i) q^{56} +(-6.09792 - 4.62292i) q^{57} +(1.81586 - 0.533186i) q^{58} +(-0.752046 + 1.64675i) q^{59} +(-5.09008 - 5.15231i) q^{60} +(-5.53008 + 4.79184i) q^{61} +(-3.48946 - 7.64085i) q^{62} +(-3.28821 - 7.22411i) q^{63} +(0.142315 - 0.989821i) q^{64} +(-12.2915 + 19.1259i) q^{65} +(0.0941154 - 1.21234i) q^{66} +(7.55165 + 2.21736i) q^{67} +5.87147 q^{68} +(-4.63396 + 6.89394i) q^{69} +(-1.69371 - 10.9328i) q^{70} +(-1.31545 + 4.48001i) q^{71} +(-2.54328 + 1.59114i) q^{72} +(0.257794 - 0.401136i) q^{73} +(2.26449 + 0.325585i) q^{74} +(-7.68004 + 20.2150i) q^{75} +(-4.01875 + 1.83530i) q^{76} +(1.20101 - 1.41695i) q^{77} +(6.61840 + 6.69931i) q^{78} +(-0.115890 + 0.253764i) q^{79} +(-4.01213 + 1.17807i) q^{80} +(8.57127 + 2.74469i) q^{81} +(-11.0826 - 5.06125i) q^{82} +(0.369065 + 2.56690i) q^{83} +(-4.57242 - 0.304869i) q^{84} +(-10.1991 - 22.3329i) q^{85} +(2.68584 + 4.17925i) q^{86} +(-2.88648 + 1.55345i) q^{87} +(-0.590605 - 0.379559i) q^{88} +(3.61001 - 4.16617i) q^{89} +(10.4700 + 6.90982i) q^{90} +(2.20226 + 14.2155i) q^{91} +(2.23698 + 4.24216i) q^{92} +(8.64803 + 11.6999i) q^{93} +(-2.60286 + 8.86451i) q^{94} +(13.9616 + 12.0978i) q^{95} +(0.113064 + 1.72836i) q^{96} +(-8.09440 - 1.16380i) q^{97} +(-5.38890 - 4.46763i) q^{98} +(0.274384 + 2.08821i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 640 q + 64 q^{4} + 8 q^{9}+O(q^{10}) \) 640 * q + 64 * q^4 + 8 * q^9	\( 640 q + 64 q^{4} + 8 q^{9} + 8 q^{15} - 64 q^{16} + 20 q^{18} + 54 q^{21} - 8 q^{22} - 56 q^{25} - 44 q^{30} - 8 q^{36} + 20 q^{37} - 16 q^{39} - 4 q^{42} - 28 q^{43} + 24 q^{46} - 68 q^{49} - 40 q^{51} + 32 q^{57} - 80 q^{58} - 8 q^{60} + 86 q^{63} + 64 q^{64} + 24 q^{67} + 72 q^{70} - 64 q^{72} - 8 q^{78} - 144 q^{79} + 20 q^{81} + 34 q^{84} + 32 q^{85} + 8 q^{88} - 40 q^{91} + 16 q^{93} + 68 q^{99}+O(q^{100}) \) 640 * q + 64 * q^4 + 8 * q^9 + 8 * q^15 - 64 * q^16 + 20 * q^18 + 54 * q^21 - 8 * q^22 - 56 * q^25 - 44 * q^30 - 8 * q^36 + 20 * q^37 - 16 * q^39 - 4 * q^42 - 28 * q^43 + 24 * q^46 - 68 * q^49 - 40 * q^51 + 32 * q^57 - 80 * q^58 - 8 * q^60 + 86 * q^63 + 64 * q^64 + 24 * q^67 + 72 * q^70 - 64 * q^72 - 8 * q^78 - 144 * q^79 + 20 * q^81 + 34 * q^84 + 32 * q^85 + 8 * q^88 - 40 * q^91 + 16 * q^93 + 68 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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