LMFDB - Embedded newform 966.2.s.b.181.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(97,966)]

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([0, 11, 1]))

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

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

chi := DirichletCharacter("966.97");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.s (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:	$160$
Relative dimension:	$16$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			181.12
Character	$\chi$	$=$	966.181
Dual form			966.2.s.b.475.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.142315 + 0.989821i) q^{2} +(0.909632 + 0.415415i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(0.108692 - 0.125437i) q^{5} +(-0.281733 + 0.959493i) q^{6} +(-1.88643 - 1.85509i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})$	\(q+(0.142315 + 0.989821i) q^{2} +(0.909632 + 0.415415i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(0.108692 - 0.125437i) q^{5} +(-0.281733 + 0.959493i) q^{6} +(-1.88643 - 1.85509i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(0.654861 + 0.755750i) q^{9} +(0.139629 + 0.0897338i) q^{10} +(-4.09371 - 0.588587i) q^{11} +(-0.989821 - 0.142315i) q^{12} +(3.02963 - 4.71420i) q^{13} +(1.56774 - 2.13124i) q^{14} +(0.150978 - 0.0689492i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-7.66948 - 2.25196i) q^{17} +(-0.654861 + 0.755750i) q^{18} +(-7.92017 + 2.32557i) q^{19} +(-0.0689492 + 0.150978i) q^{20} +(-0.945328 - 2.47110i) q^{21} -4.13581i q^{22} +(-4.73008 - 0.791396i) q^{23} -1.00000i q^{24} +(0.707654 + 4.92184i) q^{25} +(5.09738 + 2.32790i) q^{26} +(0.281733 + 0.959493i) q^{27} +(2.33266 + 1.24848i) q^{28} +(5.41374 + 1.58962i) q^{29} +(0.0897338 + 0.139629i) q^{30} +(-5.53430 + 2.52743i) q^{31} +(0.654861 + 0.755750i) q^{32} +(-3.47926 - 2.23599i) q^{33} +(1.13756 - 7.91191i) q^{34} +(-0.437737 + 0.0349954i) q^{35} +(-0.841254 - 0.540641i) q^{36} +(8.33650 - 7.22362i) q^{37} +(-3.42906 - 7.50859i) q^{38} +(4.71420 - 3.02963i) q^{39} +(-0.159254 - 0.0467611i) q^{40} +(-4.08545 - 3.54006i) q^{41} +(2.31142 - 1.28738i) q^{42} +(2.31141 + 1.05559i) q^{43} +(4.09371 - 0.588587i) q^{44} +0.165977 q^{45} +(0.110179 - 4.79457i) q^{46} -0.473099i q^{47} +(0.989821 - 0.142315i) q^{48} +(0.117269 + 6.99902i) q^{49} +(-4.77103 + 1.40090i) q^{50} +(-6.04091 - 5.23448i) q^{51} +(-1.57877 + 5.37679i) q^{52} +(-2.70499 - 4.20905i) q^{53} +(-0.909632 + 0.415415i) q^{54} +(-0.518783 + 0.449528i) q^{55} +(-0.903798 + 2.48659i) q^{56} +(-8.17051 - 1.17474i) q^{57} +(-0.802982 + 5.58486i) q^{58} +(3.18425 - 4.95479i) q^{59} +(-0.125437 + 0.108692i) q^{60} +(2.08819 + 4.57250i) q^{61} +(-3.28932 - 5.11828i) q^{62} +(0.166633 - 2.64050i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(-0.262039 - 0.892422i) q^{65} +(1.71808 - 3.76207i) q^{66} +(8.24305 - 1.18517i) q^{67} +7.99327 q^{68} +(-3.97388 - 2.68483i) q^{69} +(-0.0969356 - 0.428301i) q^{70} +(2.27379 + 15.8145i) q^{71} +(0.415415 - 0.909632i) q^{72} +(-2.11777 - 7.21246i) q^{73} +(8.33650 + 7.22362i) q^{74} +(-1.40090 + 4.77103i) q^{75} +(6.94415 - 4.46274i) q^{76} +(6.63064 + 8.70455i) q^{77} +(3.66970 + 4.23506i) q^{78} +(1.60136 - 2.49177i) q^{79} +(0.0236210 - 0.164287i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(2.92261 - 4.54767i) q^{82} +(-0.176710 - 0.203934i) q^{83} +(1.60323 + 2.10468i) q^{84} +(-1.11609 + 0.717266i) q^{85} +(-0.715894 + 2.43811i) q^{86} +(4.26416 + 3.69492i) q^{87} +(1.16519 + 3.96828i) q^{88} +(-0.513463 + 1.12433i) q^{89} +(0.0236210 + 0.164287i) q^{90} +(-14.4605 + 3.27278i) q^{91} +(4.76144 - 0.573280i) q^{92} -6.08411 q^{93} +(0.468283 - 0.0673290i) q^{94} +(-0.569144 + 1.24625i) q^{95} +(0.281733 + 0.959493i) q^{96} +(7.86935 - 9.08171i) q^{97} +(-6.91109 + 1.11214i) q^{98} +(-2.23599 - 3.47926i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q + 16 q^{2} - 16 q^{4} + 16 q^{8} + 16 q^{9}+O(q^{10}) $ 160 * q + 16 * q^2 - 16 * q^4 + 16 * q^8 + 16 * q^9	$ 160 q + 16 q^{2} - 16 q^{4} + 16 q^{8} + 16 q^{9} + 22 q^{14} - 16 q^{16} - 16 q^{18} - 52 q^{23} - 48 q^{25} + 22 q^{28} - 12 q^{29} + 16 q^{32} + 22 q^{35} + 16 q^{36} + 22 q^{37} - 4 q^{39} + 154 q^{43} + 8 q^{46} + 4 q^{50} + 22 q^{51} + 88 q^{53} + 22 q^{57} + 56 q^{58} - 16 q^{64} + 16 q^{71} - 16 q^{72} + 22 q^{74} - 72 q^{77} + 4 q^{78} + 88 q^{79} - 16 q^{81} - 22 q^{84} - 68 q^{85} - 44 q^{86} + 44 q^{88} - 8 q^{92} - 8 q^{93} - 66 q^{95} + 66 q^{98} - 66 q^{99}+O(q^{100}) $ 160 * q + 16 * q^2 - 16 * q^4 + 16 * q^8 + 16 * q^9 + 22 * q^14 - 16 * q^16 - 16 * q^18 - 52 * q^23 - 48 * q^25 + 22 * q^28 - 12 * q^29 + 16 * q^32 + 22 * q^35 + 16 * q^36 + 22 * q^37 - 4 * q^39 + 154 * q^43 + 8 * q^46 + 4 * q^50 + 22 * q^51 + 88 * q^53 + 22 * q^57 + 56 * q^58 - 16 * q^64 + 16 * q^71 - 16 * q^72 + 22 * q^74 - 72 * q^77 + 4 * q^78 + 88 * q^79 - 16 * q^81 - 22 * q^84 - 68 * q^85 - 44 * q^86 + 44 * q^88 - 8 * q^92 - 8 * q^93 - 66 * q^95 + 66 * q^98 - 66 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$-1$	$e\left(\frac{5}{22}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.142315	+	0.989821i	0.100632	+	0.699909i
$2$	0.142315	+	0.989821i	0.100632	+	0.699909i
$3$	0.909632	+	0.415415i	0.525176	+	0.239840i
$3$	0.909632	+	0.415415i	0.525176	+	0.239840i
$4$	−0.959493	+	0.281733i	−0.479746	+	0.140866i
$5$	0.108692	−	0.125437i	0.0486084	−	0.0560971i	−0.730925	−	0.682458i	$-0.760911\pi$
$5$	0.108692	−	0.125437i	0.0486084	−	0.0560971i	0.779533	+	0.626361i	$0.215456\pi$
$6$	−0.281733	+	0.959493i	−0.115017	+	0.391711i
$7$	−1.88643	−	1.85509i	−0.713005	−	0.701159i
$7$	−1.88643	−	1.85509i	−0.713005	−	0.701159i
$8$	−0.415415	−	0.909632i	−0.146871	−	0.321603i
$9$	0.654861	+	0.755750i	0.218287	+	0.251917i
$10$	0.139629	+	0.0897338i	0.0441544	+	0.0283763i
$11$	−4.09371	−	0.588587i	−1.23430	−	0.177466i	−0.505885	−	0.862601i	$-0.668834\pi$
$11$	−4.09371	−	0.588587i	−1.23430	−	0.177466i	−0.728416	+	0.685135i	$0.759743\pi$
$12$	−0.989821	−	0.142315i	−0.285737	−	0.0410828i
$13$	3.02963	−	4.71420i	0.840269	−	1.30748i	−0.109326	−	0.994006i	$-0.534869\pi$
$13$	3.02963	−	4.71420i	0.840269	−	1.30748i	0.949595	−	0.313479i	$-0.101494\pi$
$14$	1.56774	−	2.13124i	0.418997	−	0.569598i
$15$	0.150978	−	0.0689492i	0.0389823	−	0.0178026i
$16$	0.841254	−	0.540641i	0.210313	−	0.135160i
$17$	−7.66948	−	2.25196i	−1.86012	−	0.546181i	−0.999305	−	0.0372677i	$-0.988135\pi$
$17$	−7.66948	−	2.25196i	−1.86012	−	0.546181i	−0.860818	−	0.508914i	$-0.830047\pi$
$18$	−0.654861	+	0.755750i	−0.154352	+	0.178132i
$19$	−7.92017	+	2.32557i	−1.81701	+	0.533522i	−0.999124	−	0.0418566i	$-0.986673\pi$
$19$	−7.92017	+	2.32557i	−1.81701	+	0.533522i	−0.817887	+	0.575379i	$0.804855\pi$
$20$	−0.0689492	+	0.150978i	−0.0154175	+	0.0337597i
$21$	−0.945328	−	2.47110i	−0.206287	−	0.539239i
$22$		−	4.13581i		−	0.881758i
$23$	−4.73008	−	0.791396i	−0.986291	−	0.165017i
$23$	−4.73008	−	0.791396i	−0.986291	−	0.165017i
$24$		−	1.00000i		−	0.204124i
$25$	0.707654	+	4.92184i	0.141531	+	0.984368i
$26$	5.09738	+	2.32790i	0.999679	+	0.456538i
$27$	0.281733	+	0.959493i	0.0542195	+	0.184655i
$28$	2.33266	+	1.24848i	0.440831	+	0.235940i
$29$	5.41374	+	1.58962i	1.00531	+	0.295185i	0.742632	−	0.669700i	$-0.233577\pi$
$29$	5.41374	+	1.58962i	1.00531	+	0.295185i	0.262675	+	0.964884i	$0.415395\pi$
$30$	0.0897338	+	0.139629i	0.0163831	+	0.0254926i
$31$	−5.53430	+	2.52743i	−0.993990	+	0.453940i	−0.844924	−	0.534887i	$-0.820354\pi$
$31$	−5.53430	+	2.52743i	−0.993990	+	0.453940i	−0.149067	+	0.988827i	$0.547627\pi$
$32$	0.654861	+	0.755750i	0.115764	+	0.133599i
$33$	−3.47926	−	2.23599i	−0.605662	−	0.389236i
$34$	1.13756	−	7.91191i	0.195090	−	1.35688i
$35$	−0.437737	+	0.0349954i	−0.0739910	+	0.00591530i
$36$	−0.841254	−	0.540641i	−0.140209	−	0.0901068i
$37$	8.33650	−	7.22362i	1.37051	−	1.18756i	0.409086	−	0.912496i	$-0.365848\pi$
$37$	8.33650	−	7.22362i	1.37051	−	1.18756i	0.961427	−	0.275060i	$-0.0886977\pi$
$38$	−3.42906	−	7.50859i	−0.556266	−	1.21805i
$39$	4.71420	−	3.02963i	0.754877	−	0.485130i
$40$	−0.159254	−	0.0467611i	−0.0251802	−	0.00739357i
$41$	−4.08545	−	3.54006i	−0.638040	−	0.552865i	0.274636	−	0.961548i	$-0.411443\pi$
$41$	−4.08545	−	3.54006i	−0.638040	−	0.552865i	−0.912676	+	0.408683i	$0.865988\pi$
$42$	2.31142	−	1.28738i	0.356659	−	0.198647i
$43$	2.31141	+	1.05559i	0.352487	+	0.160976i	0.583787	−	0.811907i	$-0.301570\pi$
$43$	2.31141	+	1.05559i	0.352487	+	0.160976i	−0.231299	+	0.972883i	$0.574298\pi$
$44$	4.09371	−	0.588587i	0.617151	−	0.0887329i
$45$	0.165977			0.0247424
$46$	0.110179	−	4.79457i	0.0162451	−	0.706920i
$47$		−	0.473099i		−	0.0690086i	−0.999405	−	0.0345043i	$-0.989015\pi$
$47$		−	0.473099i		−	0.0690086i	0.999405	−	0.0345043i	$-0.0109852\pi$
$48$	0.989821	−	0.142315i	0.142868	−	0.0205414i
$49$	0.117269	+	6.99902i	0.0167527	+	0.999860i
$50$	−4.77103	+	1.40090i	−0.674726	+	0.198117i
$51$	−6.04091	−	5.23448i	−0.845896	−	0.732973i
$52$	−1.57877	+	5.37679i	−0.218936	+	0.745627i
$53$	−2.70499	−	4.20905i	−0.371560	−	0.578158i	0.604246	−	0.796798i	$-0.293474\pi$
$53$	−2.70499	−	4.20905i	−0.371560	−	0.578158i	−0.975806	+	0.218640i	$0.929838\pi$
$54$	−0.909632	+	0.415415i	−0.123785	+	0.0565308i
$55$	−0.518783	+	0.449528i	−0.0699527	+	0.0606144i
$56$	−0.903798	+	2.48659i	−0.120775	+	0.332285i
$57$	−8.17051	−	1.17474i	−1.08221	−	0.155598i
$58$	−0.802982	+	5.58486i	−0.105437	+	0.733329i
$59$	3.18425	−	4.95479i	0.414554	−	0.645059i	−0.569693	−	0.821858i	$-0.692938\pi$
$59$	3.18425	−	4.95479i	0.414554	−	0.645059i	0.984247	+	0.176799i	$0.0565742\pi$
$60$	−0.125437	+	0.108692i	−0.0161938	+	0.0140320i
$61$	2.08819	+	4.57250i	0.267366	+	0.585449i	0.994928	−	0.100593i	$-0.0320740\pi$
$61$	2.08819	+	4.57250i	0.267366	+	0.585449i	−0.727562	+	0.686042i	$0.759347\pi$
$62$	−3.28932	−	5.11828i	−0.417744	−	0.650022i
$63$	0.166633	−	2.64050i	0.0209938	−	0.332672i
$64$	−0.654861	+	0.755750i	−0.0818576	+	0.0944687i
$65$	−0.262039	−	0.892422i	−0.0325019	−	0.110691i
$66$	1.71808	−	3.76207i	0.211481	−	0.463078i
$67$	8.24305	−	1.18517i	1.00705	−	0.144792i	0.381000	−	0.924575i	$-0.375580\pi$
$67$	8.24305	−	1.18517i	1.00705	−	0.144792i	0.626049	+	0.779783i	$0.284671\pi$
$68$	7.99327			0.969326
$69$	−3.97388	−	2.68483i	−0.478399	−	0.323215i
$70$	−0.0969356	−	0.428301i	−0.0115860	−	0.0511917i
$71$	2.27379	+	15.8145i	0.269849	+	1.87684i	0.449751	+	0.893154i	$0.351513\pi$
$71$	2.27379	+	15.8145i	0.269849	+	1.87684i	−0.179902	+	0.983685i	$0.557578\pi$
$72$	0.415415	−	0.909632i	0.0489571	−	0.107201i
$73$	−2.11777	−	7.21246i	−0.247866	−	0.844154i	−0.985604	−	0.169068i	$-0.945924\pi$
$73$	−2.11777	−	7.21246i	−0.247866	−	0.844154i	0.737738	−	0.675087i	$-0.235894\pi$
$74$	8.33650	+	7.22362i	0.969099	+	0.839729i
$75$	−1.40090	+	4.77103i	−0.161762	+	0.550911i
$76$	6.94415	−	4.46274i	0.796549	−	0.511911i
$77$	6.63064	+	8.70455i	0.755631	+	0.991975i
$78$	3.66970	+	4.23506i	0.415511	+	0.479526i
$79$	1.60136	−	2.49177i	0.180168	−	0.280346i	−0.739409	−	0.673256i	$-0.764895\pi$
$79$	1.60136	−	2.49177i	0.180168	−	0.280346i	0.919577	+	0.392910i	$0.128532\pi$
$80$	0.0236210	−	0.164287i	0.00264090	−	0.0183679i
$81$	−0.142315	+	0.989821i	−0.0158128	+	0.109980i
$82$	2.92261	−	4.54767i	0.322748	−	0.502206i
$83$	−0.176710	−	0.203934i	−0.0193964	−	0.0223846i	0.745968	−	0.665981i	$-0.231987\pi$
$83$	−0.176710	−	0.203934i	−0.0193964	−	0.0223846i	−0.765365	+	0.643597i	$0.777441\pi$
$84$	1.60323	+	2.10468i	0.174926	+	0.229639i
$85$	−1.11609	+	0.717266i	−0.121057	+	0.0777985i
$86$	−0.715894	+	2.43811i	−0.0771969	+	0.262908i
$87$	4.26416	+	3.69492i	0.457166	+	0.396137i
$88$	1.16519	+	3.96828i	0.124210	+	0.423020i
$89$	−0.513463	+	1.12433i	−0.0544270	+	0.119178i	−0.934892	−	0.354933i	$-0.884504\pi$
$89$	−0.513463	+	1.12433i	−0.0544270	+	0.119178i	0.880465	+	0.474112i	$0.157231\pi$
$90$	0.0236210	+	0.164287i	0.00248987	+	0.0173174i
$91$	−14.4605	+	3.27278i	−1.51587	+	0.343081i
$92$	4.76144	−	0.573280i	0.496415	−	0.0597686i
$93$	−6.08411			−0.630893
$94$	0.468283	−	0.0673290i	0.0482998	−	0.00694446i
$95$	−0.569144	+	1.24625i	−0.0583929	+	0.127863i
$96$	0.281733	+	0.959493i	0.0287542	+	0.0979278i
$97$	7.86935	−	9.08171i	0.799011	−	0.922108i	−0.199316	−	0.979935i	$-0.563872\pi$
$97$	7.86935	−	9.08171i	0.799011	−	0.922108i	0.998327	+	0.0578275i	$0.0184173\pi$
$98$	−6.91109	+	1.11214i	−0.698125	+	0.112343i
$99$	−2.23599	−	3.47926i	−0.224725	−	0.349679i
$100$	−2.06563	−	4.52310i	−0.206563	−	0.452310i
$101$	−5.27491	+	4.57074i	−0.524873	+	0.454805i	−0.876546	−	0.481318i	$-0.840158\pi$
$101$	−5.27491	+	4.57074i	−0.524873	+	0.454805i	0.351673	+	0.936123i	$0.385613\pi$
$102$	4.32149	−	6.72436i	0.427891	−	0.665811i
$103$	0.881360	−	6.13000i	0.0868430	−	0.604006i	−0.899203	−	0.437532i	$-0.855853\pi$
$103$	0.881360	−	6.13000i	0.0868430	−	0.604006i	0.986046	−	0.166474i	$-0.0532383\pi$
$104$	−5.54675	−	0.797502i	−0.543903	−	0.0782015i
$105$	−0.412717	−	0.150009i	−0.0402770	−	0.0146394i
$106$	3.78125	−	3.27647i	0.367268	−	0.318239i
$107$	1.49344	−	0.682029i	0.144376	−	0.0659342i	−0.341917	−	0.939730i	$-0.611076\pi$
$107$	1.49344	−	0.682029i	0.144376	−	0.0659342i	0.486293	+	0.873796i	$0.338349\pi$
$108$	−0.540641	−	0.841254i	−0.0520232	−	0.0809497i
$109$	4.48811	−	15.2851i	0.429883	−	1.46405i	−0.405355	−	0.914159i	$-0.632852\pi$
$109$	4.48811	−	15.2851i	0.429883	−	1.46405i	0.835238	−	0.549888i	$-0.185330\pi$
$110$	−0.518783	−	0.449528i	−0.0494640	−	0.0428608i
$111$	10.5840	−	3.10773i	1.00458	−	0.294973i
$112$	−2.58991	−	0.540719i	−0.244723	−	0.0510932i
$113$	−17.6911	+	2.54360i	−1.66424	+	0.239281i	−0.909188	−	0.416385i	$-0.863297\pi$
$113$	−17.6911	+	2.54360i	−1.66424	+	0.239281i	−0.755051	+	0.655667i	$0.772388\pi$
$114$		−	8.25453i		−	0.773108i
$115$	−0.613391	+	0.507309i	−0.0571990	+	0.0473068i
$116$	−5.64230			−0.523874
$117$	5.54675	−	0.797502i	0.512797	−	0.0737290i
$118$	5.35752	+	2.44670i	0.493200	+	0.225237i
$119$	10.2904	+	18.4758i	0.943317	+	1.69367i
$120$	−0.125437	−	0.108692i	−0.0114508	−	0.00992215i
$121$	5.85763	+	1.71996i	0.532512	+	0.156360i
$122$	−4.22878	+	2.71767i	−0.382856	+	0.246046i
$123$	−2.24566	−	4.91731i	−0.202484	−	0.443379i
$124$	4.59807	−	3.98425i	0.412918	−	0.357796i
$125$	1.39244	+	0.894866i	0.124544	+	0.0800393i
$126$	2.63734	−	0.210845i	0.234953	−	0.0187836i
$127$	1.89333	−	13.1684i	0.168006	−	1.16851i	−0.714993	−	0.699132i	$-0.753570\pi$
$127$	1.89333	−	13.1684i	0.168006	−	1.16851i	0.882999	−	0.469376i	$-0.155521\pi$
$128$	−0.841254	−	0.540641i	−0.0743570	−	0.0477863i
$129$	1.66403	+	1.92039i	0.146510	+	0.169081i
$130$	0.846047	−	0.386377i	0.0742032	−	0.0338875i
$131$	−5.00149	−	7.78247i	−0.436982	−	0.679958i	0.551003	−	0.834503i	$-0.314245\pi$
$131$	−5.00149	−	7.78247i	−0.436982	−	0.679958i	−0.987986	+	0.154545i	$0.950609\pi$
$132$	3.96828	+	1.16519i	0.345395	+	0.101417i
$133$	19.2550	+	10.3056i	1.66962	+	0.893609i
$134$	2.34622	+	7.99048i	0.202682	+	0.690273i
$135$	0.150978	+	0.0689492i	0.0129941	+	0.00593421i
$136$	1.13756	+	7.91191i	0.0975450	+	0.678440i
$137$			12.0587i			1.03024i	0.857117	+	0.515122i	$0.172254\pi$
$137$			12.0587i			1.03024i	−0.857117	+	0.515122i	$0.827746\pi$
$138$	2.09196	−	4.31552i	0.178079	−	0.367361i
$139$			12.0780i			1.02444i	0.858854	+	0.512220i	$0.171177\pi$
$139$			12.0780i			1.02444i	−0.858854	+	0.512220i	$0.828823\pi$
$140$	0.410146	−	0.156902i	0.0346637	−	0.0132607i
$141$	0.196532	−	0.430346i	0.0165510	−	0.0362417i
$142$	−15.3300	+	4.50128i	−1.28646	+	0.377739i
$143$	−15.1772	+	17.5154i	−1.26918	+	1.46471i
$144$	0.959493	+	0.281733i	0.0799577	+	0.0234777i
$145$	0.787825	−	0.506305i	0.0654253	−	0.0420463i
$146$	6.83766	−	3.12265i	0.565888	−	0.258433i
$147$	−2.80083	+	6.41525i	−0.231008	+	0.529121i
$148$	−5.96369	+	9.27968i	−0.490212	+	0.762785i
$149$	11.8936	+	1.71004i	0.974364	+	0.140092i	0.611065	−	0.791580i	$-0.290741\pi$
$149$	11.8936	+	1.71004i	0.974364	+	0.140092i	0.363299	+	0.931673i	$0.381650\pi$
$150$	−4.92184	−	0.707654i	−0.401866	−	0.0577797i
$151$	−4.81638	−	3.09530i	−0.391951	−	0.251892i	0.329791	−	0.944054i	$-0.393022\pi$
$151$	−4.81638	−	3.09530i	−0.391951	−	0.251892i	−0.721742	+	0.692162i	$0.756658\pi$
$152$	5.40557	+	6.23836i	0.438450	+	0.505998i
$153$	−3.32052	−	7.27093i	−0.268448	−	0.587820i
$154$	−7.67231	+	7.80193i	−0.618252	+	0.628698i
$155$	−0.284500	+	0.968916i	−0.0228516	+	0.0778252i
$156$	−3.66970	+	4.23506i	−0.293811	+	0.339076i
$157$	−7.52497	+	2.20953i	−0.600558	+	0.176340i	−0.567859	−	0.823126i	$-0.692228\pi$
$157$	−7.52497	+	2.20953i	−0.600558	+	0.176340i	−0.0326984	+	0.999465i	$0.510410\pi$
$158$	2.69431	+	1.23045i	0.214348	+	0.0978893i
$159$	−0.712046	−	4.95239i	−0.0564689	−	0.392750i
$160$	0.165977			0.0131216
$161$	7.45488	+	10.2677i	0.587527	+	0.809205i
$162$	−1.00000			−0.0785674
$163$	0.319546	+	2.22249i	0.0250287	+	0.174079i	0.998502	−	0.0547242i	$-0.0174280\pi$
$163$	0.319546	+	2.22249i	0.0250287	+	0.174079i	−0.973473	+	0.228803i	$0.926519\pi$
$164$	4.91731	+	2.24566i	0.383977	+	0.175357i
$165$	−0.658642	+	0.193395i	−0.0512752	+	0.0150558i
$166$	0.176710	−	0.203934i	0.0137153	−	0.0158283i
$167$	2.37307	−	8.08194i	0.183634	−	0.625400i	−0.815291	−	0.579051i	$-0.803423\pi$
$167$	2.37307	−	8.08194i	0.183634	−	0.625400i	0.998925	−	0.0463487i	$-0.0147585\pi$
$168$	−1.85509	+	1.88643i	−0.143123	+	0.145542i
$169$	−7.64463	−	16.7394i	−0.588048	−	1.28765i
$170$	−0.868801	−	1.00265i	−0.0666340	−	0.0768998i
$171$	−6.94415	−	4.46274i	−0.531033	−	0.341274i
$172$	−2.51518	−	0.361628i	−0.191781	−	0.0275739i
$173$	−14.4984	−	2.08456i	−1.10229	−	0.158486i	−0.432935	−	0.901425i	$-0.642522\pi$
$173$	−14.4984	−	2.08456i	−1.10229	−	0.158486i	−0.669359	+	0.742939i	$0.733431\pi$
$174$	−3.05046	+	4.74660i	−0.231254	+	0.359839i
$175$	7.79552	−	10.5975i	0.589286	−	0.801095i
$176$	−3.76207	+	1.71808i	−0.283576	+	0.129505i
$177$	4.95479	−	3.18425i	0.372425	−	0.239343i
$178$	−1.18596	−	0.348228i	−0.0888912	−	0.0261008i
$179$	−10.0691	+	11.6203i	−0.752599	+	0.868545i	−0.994818	−	0.101677i	$-0.967579\pi$
$179$	−10.0691	+	11.6203i	−0.752599	+	0.868545i	0.242219	+	0.970222i	$0.422125\pi$
$180$	−0.159254	+	0.0467611i	−0.0118701	+	0.00348536i
$181$	−5.51600	+	12.0784i	−0.410001	+	0.897777i	0.586156	+	0.810198i	$0.300640\pi$
$181$	−5.51600	+	12.0784i	−0.410001	+	0.897777i	−0.996158	+	0.0875795i	$0.972087\pi$
$182$	−5.29741	−	13.8475i	−0.392670	−	1.02645i
$183$			5.02676i			0.371589i
$184$	1.24507	+	4.63139i	0.0917877	+	0.341431i
$185$		−	1.83085i		−	0.134607i
$186$	−0.865859	−	6.02218i	−0.0634879	−	0.441568i
$187$	30.0712	+	13.7331i	2.19902	+	1.00426i
$188$	0.133287	+	0.453935i	0.00972098	+	0.0331066i
$189$	1.24848	−	2.33266i	0.0908134	−	0.169676i
$190$	−1.31456	−	0.385991i	−0.0953685	−	0.0280027i
$191$	−4.13286	−	6.43086i	−0.299043	−	0.465320i	0.658919	−	0.752214i	$-0.271014\pi$
$191$	−4.13286	−	6.43086i	−0.299043	−	0.465320i	−0.957963	+	0.286893i	$0.907378\pi$
$192$	−0.909632	+	0.415415i	−0.0656470	+	0.0299800i
$193$	−3.66278	−	4.22707i	−0.263652	−	0.304271i	0.608452	−	0.793590i	$-0.291791\pi$
$193$	−3.66278	−	4.22707i	−0.263652	−	0.304271i	−0.872105	+	0.489319i	$0.837245\pi$
$194$	10.1092	+	6.49679i	0.725798	+	0.466442i
$195$	0.132367	−	0.920631i	0.00947898	−	0.0659277i
$196$	−2.08437	−	6.68247i	−0.148884	−	0.477319i
$197$	−7.25735	−	4.66401i	−0.517065	−	0.332297i	0.255945	−	0.966691i	$-0.417613\pi$
$197$	−7.25735	−	4.66401i	−0.517065	−	0.332297i	−0.773010	+	0.634394i	$0.781250\pi$
$198$	3.12564	−	2.70838i	0.222129	−	0.192476i
$199$	−0.103731	−	0.227140i	−0.00735331	−	0.0161015i	0.905920	−	0.423449i	$-0.139181\pi$
$199$	−0.103731	−	0.227140i	−0.00735331	−	0.0161015i	−0.913273	+	0.407348i	$0.866454\pi$
$200$	4.18309	−	2.68831i	0.295789	−	0.190092i
$201$	7.99048	+	2.34622i	0.563605	+	0.165489i
$202$	−5.27491	−	4.57074i	−0.371141	−	0.321596i
$203$	−7.26378	−	13.0417i	−0.509818	−	0.915348i
$204$	7.27093	+	3.32052i	0.509067	+	0.232483i
$205$	−0.888108	+	0.127691i	−0.0620282	+	0.00891831i
$206$	6.19303			0.431489
$207$	−2.49945	−	4.09301i	−0.173724	−	0.284484i
$208$		−	5.60378i		−	0.388552i
$209$	33.7917	−	4.85851i	2.33742	−	0.336070i
$210$	0.0897468	−	0.429865i	0.00619312	−	0.0296635i
$211$	11.3546	−	3.33400i	0.781680	−	0.229522i	0.133540	−	0.991043i	$-0.457366\pi$
$211$	11.3546	−	3.33400i	0.781680	−	0.229522i	0.648140	+	0.761522i	$0.275547\pi$
$212$	3.78125	+	3.27647i	0.259697	+	0.225029i
$213$	−4.50128	+	15.3300i	−0.308423	+	1.05039i
$214$	0.887625	+	1.38117i	0.0606768	+	0.0944149i
$215$	0.383641	−	0.175203i	0.0261641	−	0.0119487i
$216$	0.755750	−	0.654861i	0.0514222	−	0.0445576i
$217$	15.1287	+	5.49881i	1.02700	+	0.373283i
$218$	15.7682	+	2.26713i	1.06796	+	0.153550i
$219$	1.06977	−	7.44043i	0.0722886	−	0.502778i
$220$	0.371122	−	0.577477i	0.0250210	−	0.0389335i
$221$	−33.8519	+	29.3329i	−2.27713	+	1.97314i
$222$	4.58235	+	10.0339i	0.307547	+	0.673434i
$223$	−4.96322	−	7.72292i	−0.332362	−	0.517165i	0.634345	−	0.773050i	$-0.281270\pi$
$223$	−4.96322	−	7.72292i	−0.332362	−	0.517165i	−0.966707	+	0.255884i	$0.917633\pi$
$224$	0.166633	−	2.64050i	0.0111336	−	0.176426i
$225$	−3.25626	+	3.75793i	−0.217084	+	0.250529i
$226$	−5.03541	−	17.1490i	−0.334951	−	1.14074i
$227$	−3.70451	+	8.11175i	−0.245877	+	0.538396i	−0.991825	−	0.127609i	$-0.959270\pi$
$227$	−3.70451	+	8.11175i	−0.245877	+	0.538396i	0.745948	+	0.666005i	$0.231997\pi$
$228$	8.17051	−	1.17474i	0.541105	−	0.0777992i
$229$	−20.8354			−1.37684			−0.688420	−	0.725312i	$-0.741696\pi$
$229$	−20.8354			−1.37684			−0.688420	+	0.725312i	$0.741696\pi$
$230$	−0.589440	−	0.534950i	−0.0388665	−	0.0352736i
$231$	2.41544	+	10.6724i	0.158924	+	0.702192i
$232$	−0.802982	−	5.58486i	−0.0527184	−	0.366664i
$233$	2.19748	−	4.81182i	0.143962	−	0.315233i	−0.823891	−	0.566748i	$-0.808201\pi$
$233$	2.19748	−	4.81182i	0.143962	−	0.315233i	0.967853	+	0.251515i	$0.0809287\pi$
$234$	1.57877	+	5.37679i	0.103207	+	0.351492i
$235$	−0.0593441	−	0.0514219i	−0.00387118	−	0.00335440i
$236$	−1.65934	+	5.65119i	−0.108014	+	0.367861i
$237$	2.49177	−	1.60136i	0.161858	−	0.104020i
$238$	−16.8232	+	12.8150i	−1.09049	+	0.830674i
$239$	−0.150993	−	0.174255i	−0.00976694	−	0.0112717i	0.750845	−	0.660478i	$-0.229646\pi$
$239$	−0.150993	−	0.174255i	−0.00976694	−	0.0112717i	−0.760612	+	0.649207i	$0.775101\pi$
$240$	0.0897338	−	0.139629i	0.00579229	−	0.00901298i
$241$	0.191460	−	1.33163i	0.0123330	−	0.0857779i	−0.982725	−	0.185070i	$-0.940749\pi$
$241$	0.191460	−	1.33163i	0.0123330	−	0.0857779i	0.995058	+	0.0992922i	$0.0316579\pi$
$242$	−0.868822	+	6.04279i	−0.0558500	+	0.388445i
$243$	−0.540641	+	0.841254i	−0.0346821	+	0.0539664i
$244$	−3.29183	−	3.79897i	−0.210738	−	0.243204i
$245$	0.890681	+	0.746025i	0.0569035	+	0.0476618i
$246$	4.54767	−	2.92261i	0.289949	−	0.186339i
$247$	−13.0320	+	44.3829i	−0.829206	+	2.82402i
$248$	4.59807	+	3.98425i	0.291977	+	0.253000i
$249$	−0.0760235	−	0.258912i	−0.00481780	−	0.0164079i
$250$	−0.687593	+	1.50562i	−0.0434872	+	0.0952237i
$251$	−2.60131	−	18.0925i	−0.164193	−	1.14199i	−0.890621	−	0.454747i	$-0.849730\pi$
$251$	−2.60131	−	18.0925i	−0.164193	−	1.14199i	0.726428	−	0.687243i	$-0.241179\pi$
$252$	0.584031	+	2.58049i	0.0367905	+	0.162555i
$253$	18.8978	+	6.02381i	1.18809	+	0.378714i
$254$	13.3038			0.834756
$255$	−1.31319	+	0.188809i	−0.0822353	+	0.0118237i
$256$	0.415415	−	0.909632i	0.0259634	−	0.0568520i
$257$	−1.05177	−	3.58201i	−0.0656077	−	0.223439i	0.920163	−	0.391536i	$-0.128056\pi$
$257$	−1.05177	−	3.58201i	−0.0656077	−	0.223439i	−0.985771	+	0.168097i	$0.946238\pi$
$258$	−1.66403	+	1.92039i	−0.103598	+	0.119558i
$259$	−29.1267	−	1.83809i	−1.80985	−	0.114213i
$260$	0.502849	+	0.782448i	0.0311854	+	0.0485254i
$261$	2.34389	+	5.13241i	0.145083	+	0.317688i
$262$	6.99147	−	6.05814i	0.431934	−	0.374273i
$263$	−3.46522	+	5.39199i	−0.213675	+	0.332484i	−0.931501	−	0.363737i	$-0.881501\pi$
$263$	−3.46522	+	5.39199i	−0.213675	+	0.332484i	0.717827	+	0.696222i	$0.245137\pi$
$264$	−0.588587	+	4.09371i	−0.0362250	+	0.251951i
$265$	−0.821981	−	0.118183i	−0.0504939	−	0.00725993i
$266$	−7.46043	+	20.5257i	−0.457428	+	1.25851i
$267$	−0.934125	+	0.809424i	−0.0571675	+	0.0495359i
$268$	−7.57525	+	3.45950i	−0.462732	+	0.211323i
$269$	0.813752	+	1.26622i	0.0496153	+	0.0772029i	0.865175	−	0.501470i	$-0.167207\pi$
$269$	0.813752	+	1.26622i	0.0496153	+	0.0772029i	−0.815560	+	0.578673i	$0.803571\pi$
$270$	−0.0467611	+	0.159254i	−0.00284579	+	0.00969186i
$271$	6.91574	+	5.99252i	0.420101	+	0.364020i	0.839109	−	0.543963i	$-0.183077\pi$
$271$	6.91574	+	5.99252i	0.420101	+	0.364020i	−0.419008	+	0.907983i	$0.637622\pi$
$272$	−7.66948	+	2.25196i	−0.465031	+	0.136545i
$273$	−14.5133	−	3.03007i	−0.878384	−	0.183388i
$274$	−11.9360	+	1.71613i	−0.721078	+	0.103675i
$275$		−	20.5651i		−	1.24012i
$276$	4.56931	+	1.45650i	0.275040	+	0.0876711i
$277$	2.69423			0.161880			0.0809402	−	0.996719i	$-0.474208\pi$
$277$	2.69423			0.161880			0.0809402	+	0.996719i	$0.474208\pi$
$278$	−11.9550	+	1.71887i	−0.717015	+	0.103091i
$279$	−5.53430	−	2.52743i	−0.331330	−	0.151313i
$280$	0.213675	+	0.383642i	0.0127695	+	0.0229270i
$281$	4.94030	+	4.28079i	0.294713	+	0.255371i	0.789649	−	0.613559i	$-0.210263\pi$
$281$	4.94030	+	4.28079i	0.294713	+	0.255371i	−0.494935	+	0.868930i	$0.664808\pi$
$282$	0.453935	+	0.133287i	0.0270314	+	0.00793715i
$283$	−6.99714	+	4.49679i	−0.415937	+	0.267306i	−0.731829	−	0.681489i	$-0.761333\pi$
$283$	−6.99714	+	4.49679i	−0.415937	+	0.267306i	0.315891	+	0.948795i	$0.397696\pi$
$284$	−6.63715	−	14.5333i	−0.393842	−	0.862394i
$285$	−1.03542	+	0.897199i	−0.0613331	+	0.0531455i
$286$	−19.4970	−	12.5300i	−1.15288	−	0.740914i
$287$	1.13979	+	14.2570i	0.0672798	+	0.841563i
$288$	−0.142315	+	0.989821i	−0.00838598	+	0.0583258i
$289$	39.4483	+	25.3519i	2.32049	+	1.49129i
$290$	0.613270	+	0.707752i	0.0360125	+	0.0415606i
$291$	10.9309	−	4.99197i	0.640780	−	0.292634i
$292$	4.06397	+	6.32366i	0.237826	+	0.370064i
$293$	16.9027	+	4.96309i	0.987469	+	0.289947i	0.735304	−	0.677737i	$-0.237039\pi$
$293$	16.9027	+	4.96309i	0.987469	+	0.289947i	0.252165	+	0.967684i	$0.418857\pi$
$294$	−6.74855	−	1.85933i	−0.393583	−	0.108438i
$295$	−0.275412	−	0.937967i	−0.0160351	−	0.0546105i
$296$	−10.0339	−	4.58235i	−0.583211	−	0.266344i
$297$	−0.588587	−	4.09371i	−0.0341533	−	0.237541i
$298$			12.0159i			0.696064i
$299$	−18.0612	+	19.9009i	−1.04451	+	1.15090i
$300$		−	4.97245i		−	0.287085i
$301$	−2.40212	−	6.27918i	−0.138456	−	0.361926i
$302$	2.37835	−	5.20786i	0.136859	−	0.299679i
$303$	−6.69698	+	1.96641i	−0.384731	+	0.112967i
$304$	−5.40557	+	6.23836i	−0.310031	+	0.357794i
$305$	0.800529	+	0.235057i	0.0458382	+	0.0134593i
$306$	6.72436	−	4.32149i	0.384406	−	0.247043i
$307$	10.3776	−	4.73928i	0.592280	−	0.270485i	−0.0966437	−	0.995319i	$-0.530811\pi$
$307$	10.3776	−	4.73928i	0.592280	−	0.270485i	0.688924	+	0.724834i	$0.258083\pi$
$308$	−8.81441	−	6.48388i	−0.502247	−	0.369454i
$309$	3.34821	−	5.20991i	0.190473	−	0.296381i
$310$	−0.999543	−	0.143713i	−0.0567702	−	0.00816232i
$311$	−17.6068	−	2.53147i	−0.998389	−	0.143547i	−0.376304	−	0.926496i	$-0.622805\pi$
$311$	−17.6068	−	2.53147i	−0.998389	−	0.143547i	−0.622085	+	0.782950i	$0.713714\pi$
$312$	−4.71420	−	3.02963i	−0.266889	−	0.171519i
$313$	−5.87770	−	6.78322i	−0.332227	−	0.383410i	0.564918	−	0.825147i	$-0.308908\pi$
$313$	−5.87770	−	6.78322i	−0.332227	−	0.383410i	−0.897145	+	0.441737i	$0.854362\pi$
$314$	−3.25795	−	7.13392i	−0.183857	−	0.402591i
$315$	−0.313104	−	0.307902i	−0.0176414	−	0.0173483i
$316$	−0.834485	+	2.84199i	−0.0469434	+	0.159875i
$317$	−6.42552	+	7.41544i	−0.360893	+	0.416493i	−0.906939	−	0.421263i	$-0.861587\pi$
$317$	−6.42552	+	7.41544i	−0.360893	+	0.416493i	0.546046	+	0.837755i	$0.316133\pi$
$318$	4.80064	−	1.40960i	0.269207	−	0.0790462i
$319$	−21.2267	−	9.69390i	−1.18847	−	0.542754i
$320$	0.0236210	+	0.164287i	0.00132045	+	0.00918394i
$321$	1.64180			0.0916364
$322$	−9.10221	+	8.84024i	−0.507246	+	0.492647i
$323$	65.9807			3.67126
$324$	−0.142315	−	0.989821i	−0.00790638	−	0.0549901i
$325$	25.3465	+	11.5753i	1.40597	+	0.642085i
$326$	−2.15439	+	0.632586i	−0.119321	+	0.0350357i
$327$	10.4322	−	12.0394i	0.576901	−	0.665780i
$328$	−1.52300	+	5.18685i	−0.0840934	+	0.286396i
$329$	−0.877642	+	0.892470i	−0.0483860	+	0.0492035i
$330$	−0.285161	−	0.624415i	−0.0156976	−	0.0343729i
$331$	−8.66455	−	9.99942i	−0.476247	−	0.549618i	0.465892	−	0.884842i	$-0.345734\pi$
$331$	−8.66455	−	9.99942i	−0.476247	−	0.549618i	−0.942139	+	0.335224i	$0.891188\pi$
$332$	0.227006	+	0.145888i	0.0124586	+	0.00800665i
$333$	10.9185	+	1.56984i	0.598330	+	0.0860269i
$334$	8.33740	+	1.19874i	0.456202	+	0.0655920i
$335$	0.747287	−	1.16280i	0.0408286	−	0.0635306i
$336$	−2.13124	−	1.56774i	−0.116269	−	0.0855273i
$337$	−26.6131	+	12.1538i	−1.44971	+	0.662060i	−0.975830	−	0.218530i	$-0.929874\pi$
$337$	−26.6131	+	12.1538i	−1.44971	+	0.662060i	−0.473879	+	0.880590i	$0.657146\pi$
$338$	15.4811	−	9.94908i	0.842060	−	0.541159i
$339$	−17.1490	−	5.03541i	−0.931408	−	0.273486i
$340$	0.868801	−	1.00265i	0.0471174	−	0.0543763i
$341$	24.1435	−	7.08916i	1.30744	−	0.383900i
$342$	3.42906	−	7.50859i	0.185422	−	0.406018i
$343$	12.7626	−	13.4207i	0.689116	−	0.724651i
$344$		−	2.54104i		−	0.137004i
$345$	−0.768704	+	0.206653i	−0.0413856	+	0.0111258i
$346$		−	14.6475i		−	0.787455i
$347$	−3.03713	−	21.1237i	−0.163042	−	1.13398i	−0.892858	−	0.450338i	$-0.851304\pi$
$347$	−3.03713	−	21.1237i	−0.163042	−	1.13398i	0.729816	−	0.683643i	$-0.239606\pi$
$348$	−5.13241	−	2.34389i	−0.275126	−	0.125646i
$349$	−6.30596	−	21.4761i	−0.337550	−	1.14959i	−0.937044	−	0.349211i	$-0.886449\pi$
$349$	−6.30596	−	21.4761i	−0.337550	−	1.14959i	0.599494	−	0.800380i	$-0.295369\pi$
$350$	11.5990	+	6.20799i	0.619995	+	0.331831i
$351$	5.37679	+	1.57877i	0.286992	+	0.0842684i
$352$	−2.23599	−	3.47926i	−0.119179	−	0.185445i
$353$	−15.5811	+	7.11565i	−0.829298	+	0.378728i	−0.784393	−	0.620264i	$-0.787026\pi$
$353$	−15.5811	+	7.11565i	−0.829298	+	0.378728i	−0.0449046	+	0.998991i	$0.514298\pi$
$354$	3.85698	+	4.45119i	0.204996	+	0.236578i
$355$	2.23087	+	1.43369i	0.118402	+	0.0760924i
$356$	0.175905	−	1.22344i	0.00932292	−	0.0648424i
$357$	1.68534	+	21.0809i	0.0891978	+	1.11572i
$358$	−12.9350	−	8.31285i	−0.683638	−	0.439348i
$359$	−9.81562	+	8.50528i	−0.518049	+	0.448892i	−0.874221	−	0.485529i	$-0.838627\pi$
$359$	−9.81562	+	8.50528i	−0.518049	+	0.448892i	0.356172	+	0.934420i	$0.384082\pi$
$360$	−0.0689492	−	0.150978i	−0.00363394	−	0.00795723i
$361$	41.3369	−	26.5656i	2.17563	−	1.39819i
$362$	−12.7404	−	3.74093i	−0.669622	−	0.196619i
$363$	4.61380	+	3.99788i	0.242161	+	0.209834i
$364$	12.9527	−	7.21420i	0.678905	−	0.378127i
$365$	−1.13489	−	0.518288i	−0.0594030	−	0.0271284i
$366$	−4.97559	+	0.715382i	−0.260078	+	0.0373936i
$367$	−32.8476			−1.71463			−0.857315	−	0.514792i	$-0.827869\pi$
$367$	−32.8476			−1.71463			−0.857315	+	0.514792i	$0.827869\pi$
$368$	−4.40706	+	1.89151i	−0.229734	+	0.0986019i
$369$		−	5.40582i		−	0.281416i
$370$	1.81222	−	0.260557i	0.0942127	−	0.0135457i
$371$	−2.70539	+	12.9581i	−0.140457	+	0.672752i
$372$	5.83766	−	1.71409i	0.302669	−	0.0888716i
$373$	−19.8302	−	17.1830i	−1.02677	−	0.889701i	−0.0328117	−	0.999462i	$-0.510446\pi$
$373$	−19.8302	−	17.1830i	−1.02677	−	0.889701i	−0.993958	+	0.109760i	$0.964992\pi$
$374$	−9.31369	+	31.7195i	−0.481600	+	1.64018i
$375$	0.894866	+	1.39244i	0.0462107	+	0.0719052i
$376$	−0.430346	+	0.196532i	−0.0221934	+	0.0101354i
$377$	23.8954	−	20.7055i	1.23068	−	1.06639i
$378$	2.48659	+	0.903798i	0.127897	+	0.0464863i
$379$	−10.6714	−	1.53432i	−0.548155	−	0.0788128i	−0.137327	−	0.990526i	$-0.543851\pi$
$379$	−10.6714	−	1.53432i	−0.548155	−	0.0788128i	−0.410828	+	0.911713i	$0.634760\pi$
$380$	0.194980	−	1.35612i	0.0100023	−	0.0695672i
$381$	7.19259	−	11.1919i	0.368488	−	0.573378i
$382$	5.77723	−	5.00600i	0.295589	−	0.256129i
$383$	2.33419	+	5.11116i	0.119271	+	0.261168i	0.959846	−	0.280528i	$-0.0905096\pi$
$383$	2.33419	+	5.11116i	0.119271	+	0.261168i	−0.840574	+	0.541696i	$0.817782\pi$
$384$	−0.540641	−	0.841254i	−0.0275895	−	0.0429300i
$385$	1.81257	+	0.114385i	0.0923769	+	0.00582960i
$386$	3.66278	−	4.22707i	0.186430	−	0.215152i
$387$	0.715894	+	2.43811i	0.0363910	+	0.123936i
$388$	−4.99197	+	10.9309i	−0.253429	+	0.554932i
$389$	2.87512	−	0.413379i	0.145774	−	0.0209592i	−0.0690414	−	0.997614i	$-0.521994\pi$
$389$	2.87512	−	0.413379i	0.145774	−	0.0209592i	0.214816	+	0.976655i	$0.431085\pi$
$390$	0.930098			0.0470973
$391$	34.4951	+	16.7216i	1.74449	+	0.845646i
$392$	6.31782	−	3.01417i	0.319098	−	0.152239i
$393$	−1.31656	−	9.15688i	−0.0664117	−	0.461903i
$394$	3.58371	−	7.84724i	0.180545	−	0.395338i
$395$	−0.138505	−	0.471705i	−0.00696895	−	0.0237341i
$396$	3.12564	+	2.70838i	0.157069	+	0.136101i
$397$	4.45197	−	15.1620i	0.223438	−	0.760959i	−0.769111	−	0.639115i	$-0.779301\pi$
$397$	4.45197	−	15.1620i	0.223438	−	0.760959i	0.992549	−	0.121845i	$-0.0388809\pi$
$398$	0.210065	−	0.135001i	0.0105296	−	0.00676698i
$399$	13.2339	+	17.3731i	0.662523	+	0.869744i
$400$	3.25626	+	3.75793i	0.162813	+	0.187896i
$401$	13.4404	−	20.9136i	0.671180	−	1.04438i	−0.323976	−	0.946065i	$-0.605020\pi$
$401$	13.4404	−	20.9136i	0.671180	−	1.04438i	0.995156	−	0.0983111i	$-0.0313440\pi$
$402$	−1.18517	+	8.24305i	−0.0591110	+	0.411126i
$403$	−4.85209	+	33.7470i	−0.241700	+	1.68106i
$404$	3.77351	−	5.87170i	0.187739	−	0.292128i
$405$	0.108692	+	0.125437i	0.00540093	+	0.00623301i
$406$	11.8752	−	9.04587i	0.589357	−	0.448939i
$407$	−38.3790	+	24.6647i	−1.90238	+	1.22258i
$408$	−2.25196	+	7.66948i	−0.111489	+	0.379696i
$409$	−6.51218	−	5.64284i	−0.322007	−	0.279020i	0.478824	−	0.877911i	$-0.341063\pi$
$409$	−6.51218	−	5.64284i	−0.322007	−	0.279020i	−0.800831	+	0.598890i	$0.795608\pi$
$410$	−0.252782	−	0.860896i	−0.0124840	−	0.0425166i
$411$	−5.00937	+	10.9690i	−0.247094	+	0.541060i
$412$	0.881360	+	6.13000i	0.0434215	+	0.302003i
$413$	−15.1985	+	3.43981i	−0.747868	+	0.169262i
$414$	3.69564	−	3.05650i	0.181631	−	0.150219i
$415$	−0.0447876			−0.00219854
$416$	5.54675	−	0.797502i	0.271952	−	0.0391007i
$417$	−5.01737	+	10.9865i	−0.245702	+	0.538011i
$418$	9.61812	+	32.7563i	0.470438	+	1.60216i
$419$	−15.5883	+	17.9898i	−0.761536	+	0.878860i	−0.995633	−	0.0933537i	$-0.970241\pi$
$419$	−15.5883	+	17.9898i	−0.761536	+	0.878860i	0.234097	+	0.972213i	$0.424787\pi$
$420$	0.438261	+	0.0276572i	0.0213850	+	0.00134953i
$421$	9.16546	+	14.2617i	0.446697	+	0.695074i	0.989459	−	0.144812i	$-0.0462579\pi$
$421$	9.16546	+	14.2617i	0.446697	+	0.695074i	−0.542762	+	0.839886i	$0.682621\pi$
$422$	4.91598	+	10.7645i	0.239306	+	0.524008i
$423$	0.357544	−	0.309814i	0.0173844	−	0.0150637i
$424$	−2.70499	+	4.20905i	−0.131366	+	0.204410i
$425$	5.65646	−	39.3416i	0.274379	−	1.90835i
$426$	−15.8145	−	2.27379i	−0.766216	−	0.110165i
$427$	4.54317	−	12.4995i	0.219860	−	0.604894i
$428$	−1.24079	+	1.07515i	−0.0599759	+	0.0519694i
$429$	−21.0818	+	9.62774i	−1.01784	+	0.464831i
$430$	0.228017	+	0.354802i	0.0109960	+	0.0171101i
$431$	1.43375	−	4.88290i	0.0690612	−	0.235201i	−0.917728	−	0.397209i	$-0.869979\pi$
$431$	1.43375	−	4.88290i	0.0690612	−	0.235201i	0.986789	+	0.162008i	$0.0517970\pi$
$432$	0.755750	+	0.654861i	0.0363610	+	0.0315070i
$433$	32.0853	−	9.42108i	1.54192	−	0.452748i	0.603246	−	0.797556i	$-0.293874\pi$
$433$	32.0853	−	9.42108i	1.54192	−	0.452748i	0.938674	+	0.344807i	$0.112056\pi$
$434$	−3.28980	+	15.7573i	−0.157915	+	0.756374i
$435$	0.926958	−	0.133276i	0.0444442	−	0.00639011i
$436$			15.9304i			0.762928i
$437$	39.3035	−	4.73216i	1.88014	−	0.226370i
$438$	7.51695			0.359174
$439$	−17.7264	+	2.54867i	−0.846035	+	0.121641i	−0.551681	−	0.834055i	$-0.686013\pi$
$439$	−17.7264	+	2.54867i	−0.846035	+	0.121641i	−0.294354	+	0.955697i	$0.595104\pi$
$440$	0.624415	+	0.285161i	0.0297678	+	0.0135945i
$441$	−5.21271	+	4.67201i	−0.248224	+	0.222477i
$442$	−33.8519	−	29.3329i	−1.61017	−	1.39522i
$443$	8.50819	+	2.49823i	0.404236	+	0.118694i	0.477529	−	0.878616i	$-0.341533\pi$
$443$	8.50819	+	2.49823i	0.404236	+	0.118694i	−0.0732928	+	0.997310i	$0.523351\pi$
$444$	−9.27968	+	5.96369i	−0.440394	+	0.283024i
$445$	0.0852229	+	0.186612i	0.00403995	+	0.00884627i
$446$	6.93798	−	6.01179i	0.328523	−	0.284667i
$447$	10.1084	+	6.49630i	0.478113	+	0.307265i
$448$	2.63734	−	0.210845i	0.124602	−	0.00996150i
$449$	3.05249	−	21.2305i	0.144056	−	1.00193i	−0.781658	−	0.623707i	$-0.785626\pi$
$449$	3.05249	−	21.2305i	0.144056	−	1.00193i	0.925714	−	0.378224i	$-0.123465\pi$
$450$	−4.18309	−	2.68831i	−0.197193	−	0.126728i
$451$	14.6410	+	16.8966i	0.689419	+	0.795632i
$452$	16.2579	−	7.42472i	0.764706	−	0.349230i
$453$	−3.09530	−	4.81638i	−0.145430	−	0.226293i
$454$	−8.55639	−	2.51238i	−0.401571	−	0.117912i
$455$	−1.16121	+	2.16960i	−0.0544382	+	0.101713i
$456$	2.32557	+	7.92017i	0.108905	+	0.370896i
$457$	15.7214	+	7.17971i	0.735415	+	0.335853i	0.747668	−	0.664072i	$-0.231173\pi$
$457$	15.7214	+	7.17971i	0.735415	+	0.335853i	−0.0122537	+	0.999925i	$0.503901\pi$
$458$	−2.96518	−	20.6233i	−0.138554	−	0.963664i
$459$		−	7.99327i		−	0.373094i
$460$	0.445619	−	0.659571i	0.0207771	−	0.0307527i
$461$		−	35.1199i		−	1.63570i	−0.575433	−	0.817849i	$-0.695167\pi$
$461$		−	35.1199i		−	1.63570i	0.575433	−	0.817849i	$-0.304833\pi$
$462$	−10.2200	+	3.90970i	−0.475478	+	0.181896i
$463$	−11.8498	+	25.9475i	−0.550707	+	1.20588i	0.405744	+	0.913987i	$0.367013\pi$
$463$	−11.8498	+	25.9475i	−0.550707	+	1.20588i	−0.956451	+	0.291893i	$0.905715\pi$
$464$	5.41374	−	1.58962i	0.251327	−	0.0737962i
$465$	−0.661292	+	0.763172i	−0.0306667	+	0.0353913i
$466$	5.07558	+	1.49032i	0.235122	+	0.0690379i
$467$	35.1497	−	22.5894i	1.62654	−	1.04531i	0.674979	−	0.737837i	$-0.264152\pi$
$467$	35.1497	−	22.5894i	1.62654	−	1.04531i	0.951556	−	0.307475i	$-0.0994839\pi$
$468$	−5.09738	+	2.32790i	−0.235627	+	0.107607i
$469$	−17.7486	−	13.0559i	−0.819553	−	0.602864i
$470$	0.0424530	−	0.0660581i	0.00195821	−	0.00304703i
$471$	−7.76282	−	1.11613i	−0.357692	−	0.0514283i
$472$	−5.82982	−	0.838202i	−0.268339	−	0.0385814i
$473$	−8.84096	−	5.68174i	−0.406508	−	0.261247i
$474$	1.93968	+	2.23851i	0.0890925	+	0.102818i
$475$	−17.0508	−	37.3361i	−0.782345	−	1.71310i
$476$	−15.0788	−	14.8282i	−0.691134	−	0.679651i
$477$	1.40960	−	4.80064i	0.0645410	−	0.219806i
$478$	0.150993	−	0.174255i	0.00690627	−	0.00797026i
$479$	32.0189	−	9.40160i	1.46298	−	0.429570i	0.549170	−	0.835710i	$-0.314944\pi$
$479$	32.0189	−	9.40160i	1.46298	−	0.429570i	0.913811	+	0.406140i	$0.133126\pi$
$480$	0.150978	+	0.0689492i	0.00689116	+	0.00314709i
$481$	−8.79706	−	61.1849i	−0.401111	−	2.78979i
$482$	1.34532			0.0612779
$483$	2.51586	+	12.4367i	0.114476	+	0.565888i
$484$	−6.10493			−0.277497
$485$	−0.283849	−	1.97421i	−0.0128889	−	0.0896444i
$486$	−0.909632	−	0.415415i	−0.0412617	−	0.0188436i
$487$	19.0601	−	5.59656i	0.863698	−	0.253604i	0.180265	−	0.983618i	$-0.442304\pi$
$487$	19.0601	−	5.59656i	0.863698	−	0.253604i	0.683433	+	0.730014i	$0.260486\pi$
$488$	3.29183	−	3.79897i	0.149014	−	0.171971i
$489$	−0.632586	+	2.15439i	−0.0286065	+	0.0974249i
$490$	−0.611674	+	0.987786i	−0.0276326	+	0.0446236i
$491$	−15.6253	−	34.2147i	−0.705162	−	1.54409i	−0.833598	−	0.552371i	$-0.813723\pi$
$491$	−15.6253	−	34.2147i	−0.705162	−	1.54409i	0.128436	−	0.991718i	$-0.459004\pi$
$492$	3.54006	+	4.08545i	0.159598	+	0.184186i
$493$	−37.9408	−	24.3831i	−1.70877	−	1.09816i
$494$	−45.7858	−	6.58300i	−2.06000	−	0.296183i
$495$	−0.679461	−	0.0976918i	−0.0305395	−	0.00439092i
$496$	−3.28932	+	5.11828i	−0.147695	+	0.229818i
$497$	25.0480	−	34.0511i	1.12356	−	1.52740i
$498$	0.245458	−	0.112097i	0.0109992	−	0.00502318i
$499$	−12.5714	+	8.07913i	−0.562772	+	0.361671i	−0.790886	−	0.611963i	$-0.790380\pi$
$499$	−12.5714	+	8.07913i	−0.562772	+	0.361671i	0.228115	+	0.973634i	$0.426744\pi$
$500$	−1.58815	−	0.466322i	−0.0710241	−	0.0208546i
$501$	5.51598	−	6.36578i	0.246436	−	0.284402i
$502$	17.5382	−	5.14967i	0.782766	−	0.229841i
$503$	−8.67971	+	19.0059i	−0.387009	+	0.847432i	0.611415	+	0.791310i	$0.290601\pi$
$503$	−8.67971	+	19.0059i	−0.387009	+	0.847432i	−0.998424	+	0.0561216i	$0.982127\pi$
$504$	−2.47110	+	0.945328i	−0.110072	+	0.0421083i
$505$			1.15847i			0.0515512i
$506$	−3.27306	+	19.5627i	−0.145505	+	0.869669i
$507$		−	18.4024i		−	0.817279i
$508$	1.89333	+	13.1684i	0.0840030	+	0.584254i
$509$	−1.72706	−	0.788720i	−0.0765505	−	0.0349594i	0.376772	−	0.926306i	$-0.377034\pi$
$509$	−1.72706	−	0.788720i	−0.0765505	−	0.0349594i	−0.453322	+	0.891347i	$0.649761\pi$
$510$	−0.373774	−	1.27296i	−0.0165510	−	0.0563674i
$511$	−9.38474	+	17.5345i	−0.415156	+	0.775680i
$512$	0.959493	+	0.281733i	0.0424040	+	0.0124509i
$513$	−4.46274	−	6.94415i	−0.197035	−	0.306592i
$514$	3.39586	−	1.55084i	0.149785	−	0.0684046i
$515$	−0.673131	−	0.776835i	−0.0296617	−	0.0342314i
$516$	−2.13766	−	1.37379i	−0.0941053	−	0.0604778i
$517$	−0.278460	+	1.93673i	−0.0122467	+	0.0851774i
$518$	−2.32579	−	29.0919i	−0.102189	−	1.27822i
$519$	−12.3223	−	7.91904i	−0.540888	−	0.347607i
$520$	−0.702921	+	0.609085i	−0.0308251	+	0.0267101i
$521$	1.92824	+	4.22225i	0.0844776	+	0.184980i	0.947156	−	0.320772i	$-0.103942\pi$
$521$	1.92824	+	4.22225i	0.0844776	+	0.184980i	−0.862679	+	0.505752i	$0.831215\pi$
$522$	−4.74660	+	3.05046i	−0.207753	+	0.133515i
$523$	−27.3695	−	8.03642i	−1.19679	−	0.351408i	−0.378163	−	0.925739i	$-0.623444\pi$
$523$	−27.3695	−	8.03642i	−1.19679	−	0.351408i	−0.818623	+	0.574331i	$0.805262\pi$
$524$	6.99147	+	6.05814i	0.305424	+	0.264651i
$525$	11.4934	−	6.40144i	0.501614	−	0.279382i
$526$	−5.83025	−	2.66259i	−0.254211	−	0.116094i
$527$	48.1369	−	6.92105i	2.09688	−	0.301485i
$528$	−4.13581			−0.179988
$529$	21.7474	+	7.48674i	0.945539	+	0.325510i
$530$		−	0.830434i		−	0.0360717i
$531$	5.82982	−	0.838202i	0.252993	−	0.0363749i
$532$	−21.3785	−	4.46338i	−0.926875	−	0.193512i
$533$	−29.0660	+	8.53454i	−1.25899	+	0.369672i
$534$	−0.934125	−	0.809424i	−0.0404235	−	0.0350272i
$535$	0.0767724	−	0.261463i	0.00331916	−	0.0113040i
$536$	−4.50236	−	7.00581i	−0.194472	−	0.302605i
$537$	−13.9864	+	6.38739i	−0.603559	+	0.275636i
$538$	−1.13752	+	0.985671i	−0.0490422	+	0.0424953i
$539$	3.63947	−	28.7210i	0.156763	−	1.23710i
$540$	−0.164287	−	0.0236210i	−0.00706980	−	0.00101648i
$541$	−1.09575	+	7.62114i	−0.0471102	+	0.327659i	0.952614	+	0.304181i	$0.0983828\pi$
$541$	−1.09575	+	7.62114i	−0.0471102	+	0.327659i	−0.999724	+	0.0234773i	$0.992526\pi$
$542$	−4.94732	+	7.69818i	−0.212505	+	0.330665i
$543$	−10.0351	+	8.69543i	−0.430646	+	0.373157i
$544$	−3.32052	−	7.27093i	−0.142366	−	0.311739i
$545$	−1.42950	−	2.22434i	−0.0612328	−	0.0952802i
$546$	0.933775	−	14.7968i	0.0399619	−	0.633244i
$547$	−2.54484	+	2.93691i	−0.108810	+	0.125573i	−0.807542	−	0.589810i	$-0.799202\pi$
$547$	−2.54484	+	2.93691i	−0.108810	+	0.125573i	0.698732	+	0.715383i	$0.253748\pi$
$548$	−3.39733	−	11.5702i	−0.145127	−	0.494256i
$549$	−2.08819	+	4.57250i	−0.0891218	+	0.195150i
$550$	20.3558	−	2.92672i	0.867974	−	0.124796i
$551$	−46.5745			−1.98414
$552$	−0.791396	+	4.73008i	−0.0336840	+	0.201326i
$553$	−7.64334	+	1.72989i	−0.325028	+	0.0735622i
$554$	0.383428	+	2.66680i	0.0162903	+	0.113302i
$555$	0.760564	−	1.66540i	0.0322841	−	0.0706924i
$556$	−3.40276	−	11.5887i	−0.144309	−	0.491471i
$557$	10.6627	+	9.23931i	0.451795	+	0.391482i	0.850820	−	0.525458i	$-0.176106\pi$
$557$	10.6627	+	9.23931i	0.451795	+	0.391482i	−0.399025	+	0.916940i	$0.630651\pi$
$558$	1.71409	−	5.83766i	0.0725633	−	0.247128i
$559$	11.9790	−	7.69843i	0.506657	−	0.325609i
$560$	−0.349328	+	0.266098i	−0.0147618	+	0.0112447i
$561$	21.6488	+	24.9840i	0.914013	+	1.05483i
$562$	−3.53414	+	5.49923i	−0.149079	+	0.231971i
$563$	2.37663	−	16.5298i	0.100163	−	0.696650i	−0.876426	−	0.481537i	$-0.840079\pi$
$563$	2.37663	−	16.5298i	0.100163	−	0.696650i	0.976589	−	0.215113i	$-0.0690120\pi$
$564$	−0.0673290	+	0.468283i	−0.00283506	+	0.0197183i
$565$	−1.60381	+	2.49558i	−0.0674730	+	0.104990i
$566$	−5.44682	−	6.28596i	−0.228947	−	0.264219i
$567$	2.10468	−	1.60323i	0.0883881	−	0.0673292i
$568$	13.4408	−	8.63790i	0.563965	−	0.362438i
$569$	3.51182	−	11.9602i	0.147223	−	0.501396i	−0.852551	−	0.522644i	$-0.824946\pi$
$569$	3.51182	−	11.9602i	0.147223	−	0.501396i	0.999774	+	0.0212479i	$0.00676393\pi$
$570$	−1.03542	−	0.897199i	−0.0433691	−	0.0375795i
$571$	3.39387	+	11.5585i	0.142029	+	0.483707i	0.999526	−	0.0307822i	$-0.00979982\pi$
$571$	3.39387	+	11.5585i	0.142029	+	0.483707i	−0.857497	+	0.514489i	$0.827982\pi$
$572$	9.62774	−	21.0818i	0.402556	−	0.881474i
$573$	−1.08791	−	7.56656i	−0.0454480	−	0.316098i
$574$	−13.9497	+	3.15717i	−0.582247	+	0.131778i
$575$	0.547861	−	23.8407i	0.0228474	−	0.994228i
$576$	−1.00000			−0.0416667
$577$	34.5040	−	4.96093i	1.43642	−	0.206526i	0.620281	−	0.784380i	$-0.287019\pi$
$577$	34.5040	−	4.96093i	1.43642	−	0.206526i	0.816140	+	0.577854i	$0.196110\pi$
$578$	−19.4798	+	42.6547i	−0.810252	+	1.77420i
$579$	−1.57579	−	5.36665i	−0.0654876	−	0.223030i
$580$	−0.613270	+	0.707752i	−0.0254647	+	0.0293878i
$581$	−0.0449647	+	0.712520i	−0.00186545	+	0.0295603i
$582$	6.49679	+	10.1092i	0.269300	+	0.419040i
$583$	8.59608	+	18.8228i	0.356013	+	0.779560i
$584$	−5.68093	+	4.92255i	−0.235079	+	0.203697i
$585$	0.502849	−	0.782448i	0.0207902	−	0.0323502i
$586$	−2.50707	+	17.4370i	−0.103566	+	0.720317i
$587$	24.7321	+	3.55593i	1.02080	+	0.146769i	0.632336	−	0.774694i	$-0.282096\pi$
$587$	24.7321	+	3.55593i	1.02080	+	0.146769i	0.388465	+	0.921463i	$0.373005\pi$
$588$	0.879989	−	6.94447i	0.0362901	−	0.286385i
$589$	37.9549	−	32.8881i	1.56390	−	1.35513i
$590$	0.889224	−	0.406095i	0.0366088	−	0.0167187i
$591$	−4.66401	−	7.25735i	−0.191852	−	0.298527i
$592$	3.10773	−	10.5840i	0.127727	−	0.434998i
$593$	27.5595	+	23.8804i	1.13173	+	0.980651i	0.999944	−	0.0106269i	$-0.00338270\pi$
$593$	27.5595	+	23.8804i	1.13173	+	0.980651i	0.131788	+	0.991278i	$0.457928\pi$
$594$	3.96828	−	1.16519i	0.162821	−	0.0478084i
$595$	3.43602	+	0.717370i	0.140863	+	0.0294093i
$596$	−11.8936	+	1.71004i	−0.487182	+	0.0700462i
$597$		−	0.249705i		−	0.0102198i
$598$	−22.2688	−	15.0452i	−0.910637	−	0.615243i
$599$	−5.30648			−0.216817			−0.108408	−	0.994106i	$-0.534575\pi$
$599$	−5.30648			−0.216817			−0.108408	+	0.994106i	$0.534575\pi$
$600$	4.92184	−	0.707654i	0.200933	−	0.0288898i
$601$	4.20985	+	1.92258i	0.171724	+	0.0784235i	0.499422	−	0.866359i	$-0.333546\pi$
$601$	4.20985	+	1.92258i	0.171724	+	0.0784235i	−0.327698	+	0.944782i	$0.606273\pi$
$602$	5.87341	−	3.27129i	0.239382	−	0.133328i
$603$	6.29374	+	5.45356i	0.256301	+	0.222086i
$604$	5.49333	+	1.61299i	0.223520	+	0.0656315i
$605$	0.852422	−	0.547818i	0.0346559	−	0.0222720i
$606$	−2.89948	−	6.34897i	−0.117783	−	0.257909i
$607$	6.28204	−	5.44342i	0.254980	−	0.220941i	−0.517986	−	0.855389i	$-0.673318\pi$
$607$	6.28204	−	5.44342i	0.254980	−	0.220941i	0.772966	+	0.634448i	$0.218772\pi$
$608$	−6.94415	−	4.46274i	−0.281623	−	0.180988i
$609$	−1.18965	−	14.8806i	−0.0482071	−	0.602994i
$610$	−0.118737	+	0.825833i	−0.00480752	+	0.0334370i
$611$	−2.23028	−	1.43332i	−0.0902276	−	0.0579858i
$612$	5.23448	+	6.04091i	0.211591	+	0.244189i
$613$	−22.2241	+	10.1494i	−0.897622	+	0.409930i	−0.810141	−	0.586236i	$-0.800609\pi$
$613$	−22.2241	+	10.1494i	−0.897622	+	0.409930i	−0.0874818	+	0.996166i	$0.527882\pi$
$614$	6.16793	+	9.59749i	0.248917	+	0.387323i
$615$	−0.860896	−	0.252782i	−0.0347147	−	0.0101932i
$616$	5.16347	−	9.64744i	0.208042	−	0.388706i
$617$	−1.45595	−	4.95852i	−0.0586144	−	0.199622i	0.924980	−	0.380015i	$-0.124081\pi$
$617$	−1.45595	−	4.95852i	−0.0586144	−	0.199622i	−0.983595	+	0.180393i	$0.942263\pi$
$618$	5.63338	+	2.57268i	0.226608	+	0.103488i
$619$	4.95035	+	34.4304i	0.198971	+	1.38388i	0.807277	+	0.590172i	$0.200940\pi$
$619$	4.95035	+	34.4304i	0.198971	+	1.38388i	−0.608306	+	0.793703i	$0.708151\pi$
$620$		−	1.00982i		−	0.0405554i
$621$	−0.573280	−	4.76144i	−0.0230049	−	0.191070i
$622$		−	17.7878i		−	0.713227i
$623$	3.05434	−	1.16845i	0.122370	−	0.0468129i
$624$	2.32790	−	5.09738i	0.0931904	−	0.204059i
$625$	−23.5916	+	6.92711i	−0.943663	+	0.277084i
$626$	5.87770	−	6.78322i	0.234920	−	0.271112i
$627$	32.7563	+	9.61812i	1.30816	+	0.384111i
$628$	6.59766	−	4.24006i	0.263275	−	0.169197i
$629$	−80.2040	+	36.6279i	−3.19794	+	1.46045i
$630$	0.260209	−	0.353736i	0.0103670	−	0.0140932i
$631$	3.19948	−	4.97848i	0.127369	−	0.198190i	−0.771712	−	0.635972i	$-0.780599\pi$
$631$	3.19948	−	4.97848i	0.127369	−	0.198190i	0.899081	+	0.437782i	$0.144236\pi$
$632$	−2.93183	−	0.421533i	−0.116622	−	0.0167677i
$633$	11.7135	+	1.68414i	0.465568	+	0.0669386i
$634$	−8.25441	−	5.30479i	−0.327825	−	0.210680i
$635$	−1.44601	−	1.66879i	−0.0573834	−	0.0662239i
$636$	2.07845	+	4.55117i	0.0824159	+	0.180466i
$637$	33.3501	+	20.6516i	1.32138	+	0.818247i
$638$	6.57436	−	22.3902i	0.260281	−	0.886437i
$639$	−10.4628	+	12.0747i	−0.413902	+	0.477669i
$640$	−0.159254	+	0.0467611i	−0.00629505	+	0.00184839i
$641$	−18.6367	−	8.51111i	−0.736107	−	0.336169i	0.0118376	−	0.999930i	$-0.496232\pi$
$641$	−18.6367	−	8.51111i	−0.736107	−	0.336169i	−0.747945	+	0.663761i	$0.768959\pi$
$642$	0.233653	+	1.62509i	0.00922154	+	0.0641372i
$643$	26.7783			1.05603			0.528016	−	0.849234i	$-0.322936\pi$
$643$	26.7783			1.05603			0.528016	+	0.849234i	$0.322936\pi$
$644$	−10.0456	−	7.75146i	−0.395854	−	0.305450i
$645$	0.421754			0.0166065
$646$	9.39003	+	65.3091i	0.369446	+	2.56955i
$647$	35.4296	+	16.1802i	1.39288	+	0.636108i	0.963670	−	0.267095i	$-0.0860638\pi$
$647$	35.4296	+	16.1802i	1.39288	+	0.636108i	0.429213	+	0.903203i	$0.358791\pi$
$648$	0.959493	−	0.281733i	0.0376924	−	0.0110675i
$649$	−15.9517	+	18.4093i	−0.626160	+	0.722628i
$650$	−7.85035	+	26.7358i	−0.307916	+	1.04867i
$651$	11.4773	+	11.2866i	0.449830	+	0.442356i
$652$	−0.932749	−	2.04244i	−0.0365293	−	0.0799880i
$653$	−28.2818	−	32.6389i	−1.10675	−	1.27726i	−0.957492	−	0.288461i	$-0.906856\pi$
$653$	−28.2818	−	32.6389i	−1.10675	−	1.27726i	−0.149260	−	0.988798i	$-0.547689\pi$
$654$	13.4015	+	8.61262i	0.524040	+	0.336780i
$655$	−1.51983	−	0.218518i	−0.0593846	−	0.00853822i
$656$	−5.35080	−	0.769329i	−0.208914	−	0.0300372i
$657$	4.06397	−	6.32366i	0.158550	−	0.246709i
$658$	−1.00829	−	0.741697i	−0.0393071	−	0.0289144i
$659$	2.94714	−	1.34592i	0.114804	−	0.0524294i	−0.357185	−	0.934034i	$-0.616263\pi$
$659$	2.94714	−	1.34592i	0.114804	−	0.0524294i	0.471989	+	0.881604i	$0.343536\pi$
$660$	0.577477	−	0.371122i	0.0224783	−	0.0144459i
$661$	44.6233	+	13.1026i	1.73564	+	0.509631i	0.987998	−	0.154467i	$-0.0493661\pi$
$661$	44.6233	+	13.1026i	1.73564	+	0.509631i	0.747645	+	0.664098i	$0.231184\pi$
$662$	8.66455	−	9.99942i	0.336757	−	0.388639i
$663$	−42.9781	+	12.6195i	−1.66913	+	0.490101i
$664$	−0.112097	+	0.245458i	−0.00435020	+	0.00952561i
$665$	3.38556	−	1.29516i	0.131286	−	0.0502240i
$666$			11.0308i			0.427434i
$667$	−24.3494	−	11.8034i	−0.942814	−	0.457031i
$668$			8.42314i			0.325901i
$669$	−1.30649	−	9.08682i	−0.0505117	−	0.351317i
$670$	1.25732	+	0.574197i	0.0485743	+	0.0221832i
$671$	−5.85714	−	19.9476i	−0.226112	−	0.770068i
$672$	1.24848	−	2.33266i	0.0481611	−	0.0899843i
$673$	15.7650	+	4.62903i	0.607697	+	0.178436i	0.571081	−	0.820893i	$-0.306524\pi$
$673$	15.7650	+	4.62903i	0.607697	+	0.178436i	0.0366157	+	0.999329i	$0.488342\pi$
$674$	−15.8175	−	24.6126i	−0.609269	−	0.948041i
$675$	−4.52310	+	2.06563i	−0.174094	+	0.0795062i
$676$	12.0510	+	13.9076i	0.463500	+	0.534908i
$677$	−27.5637	−	17.7141i	−1.05936	−	0.680808i	−0.109658	−	0.993969i	$-0.534975\pi$
$677$	−27.5637	−	17.7141i	−1.05936	−	0.680808i	−0.949700	+	0.313162i	$0.898612\pi$
$678$	2.54360	−	17.6911i	0.0976862	−	0.679423i
$679$	−31.6924	+	2.53369i	−1.21624	+	0.0972341i
$680$	1.11609	+	0.717266i	0.0428000	+	0.0275059i
$681$	−6.73948	+	5.83980i	−0.258258	+	0.223781i
$682$	10.4530	+	22.8888i	0.400265	+	0.876459i
$683$	−35.5059	+	22.8183i	−1.35860	+	0.873117i	−0.998217	−	0.0596885i	$-0.980989\pi$
$683$	−35.5059	+	22.8183i	−1.35860	+	0.873117i	−0.360380	+	0.932806i	$0.617353\pi$
$684$	7.92017	+	2.32557i	0.302835	+	0.0889204i
$685$	1.51261	+	1.31068i	0.0577937	+	0.0500785i
$686$	15.1004	+	10.7227i	0.576537	+	0.409396i
$687$	−18.9525	−	8.65533i	−0.723084	−	0.330221i
$688$	2.51518	−	0.361628i	0.0958903	−	0.0137869i
$689$	−28.0375			−1.06814
$690$	−0.313947	−	0.731470i	−0.0119518	−	0.0278466i
$691$		−	42.7084i		−	1.62470i	−0.583167	−	0.812352i	$-0.698187\pi$
$691$		−	42.7084i		−	1.62470i	0.583167	−	0.812352i	$-0.301813\pi$
$692$	14.4984	−	2.08456i	0.551147	−	0.0792430i
$693$	−2.23631	+	10.7114i	−0.0849505	+	0.406891i
$694$	20.4765	−	6.01244i	0.777277	−	0.228229i
$695$	1.51502	+	1.31277i	0.0574681	+	0.0497964i
$696$	1.58962	−	5.41374i	0.0602543	−	0.205207i
$697$	23.3612	+	36.3507i	0.884868	+	1.37688i
$698$	20.3601	−	9.29815i	0.770641	−	0.351940i
$699$	3.99780	−	3.46412i	0.151211	−	0.131025i
$700$	−4.49409	+	12.3645i	−0.169861	+	0.467333i
$701$	−6.78659	−	0.975765i	−0.256326	−	0.0368541i	0.0129538	−	0.999916i	$-0.495877\pi$
$701$	−6.78659	−	0.975765i	−0.256326	−	0.0368541i	−0.269280	+	0.963062i	$0.586786\pi$
$702$	−0.797502	+	5.54675i	−0.0300998	+	0.209348i
$703$	−49.2274	+	76.5994i	−1.85665	+	2.88900i
$704$	3.12564	−	2.70838i	0.117802	−	0.102076i
$705$	−0.0326198	−	0.0714274i	−0.00122853	−	0.00269011i
$706$	−9.26064	−	14.4098i	−0.348529	−	0.542322i
$707$	18.4299	+	1.16305i	0.693128	+	0.0437410i
$708$	−3.85698	+	4.45119i	−0.144954	+	0.167286i
$709$	10.8796	+	37.0526i	0.408592	+	1.39154i	0.865002	+	0.501768i	$0.167317\pi$
$709$	10.8796	+	37.0526i	0.408592	+	1.39154i	−0.456410	+	0.889770i	$0.650865\pi$
$710$	−1.10161	+	2.41219i	−0.0413428	+	0.0905280i
$711$	2.93183	−	0.421533i	0.109952	−	0.0158087i
$712$	1.23602			0.0463220
$713$	28.1779	−	7.57514i	1.05527	−	0.283691i
$714$	−20.6265	+	4.66832i	−0.771928	+	0.174707i
$715$	0.547444	+	3.80755i	0.0204732	+	0.142394i
$716$	6.38739	−	13.9864i	0.238708	−	0.522697i
$717$	−0.0649599	−	0.221233i	−0.00242597	−	0.00826211i
$718$	−9.81562	−	8.50528i	−0.366316	−	0.317414i
$719$	3.55784	−	12.1169i	0.132685	−	0.451884i	−0.866168	−	0.499752i	$-0.833424\pi$
$719$	3.55784	−	12.1169i	0.132685	−	0.451884i	0.998854	+	0.0478678i	$0.0152426\pi$
$720$	0.139629	−	0.0897338i	0.00520365	−	0.00334418i
$721$	−13.0343	+	9.92883i	−0.485424	+	0.369769i
$722$	32.1781	+	37.1355i	1.19754	+	1.38204i
$723$	0.727337	−	1.13176i	0.0270500	−	0.0420906i
$724$	1.88970	−	13.1431i	0.0702301	−	0.488461i
$725$	−3.99279	+	27.7705i	−0.148289	+	1.03137i
$726$	−3.30057	+	5.13579i	−0.122496	+	0.190607i
$727$	17.6343	+	20.3510i	0.654019	+	0.754779i	0.981788	−	0.189979i	$-0.0608421\pi$
$727$	17.6343	+	20.3510i	0.654019	+	0.754779i	−0.327769	+	0.944758i	$0.606297\pi$
$728$	8.98413	+	11.7942i	0.332974	+	0.437120i
$729$	−0.841254	+	0.540641i	−0.0311575	+	0.0200237i
$730$	0.351500	−	1.19710i	0.0130096	−	0.0443067i
$731$	−15.3502	−	13.3010i	−0.567748	−	0.491956i
$732$	−1.41620	−	4.82314i	−0.0523443	−	0.178268i
$733$	−7.56828	+	16.5722i	−0.279541	+	0.612109i	−0.996369	−	0.0851410i	$-0.972866\pi$
$733$	−7.56828	+	16.5722i	−0.279541	+	0.612109i	0.716828	+	0.697250i	$0.245593\pi$
$734$	−4.67470	−	32.5133i	−0.172546	−	1.20009i
$735$	0.500282	+	1.04861i	0.0184532	+	0.0386786i
$736$	−2.49945	−	4.09301i	−0.0921309	−	0.150870i
$737$	−34.4423			−1.26870
$738$	5.35080	−	0.769329i	0.196966	−	0.0283194i
$739$	18.9335	−	41.4587i	0.696481	−	1.52508i	−0.147705	−	0.989032i	$-0.547189\pi$
$739$	18.9335	−	41.4587i	0.696481	−	1.52508i	0.844186	−	0.536050i	$-0.180084\pi$
$740$	0.515811	+	1.75669i	0.0189616	+	0.0645772i
$741$	−30.2916	+	34.9584i	−1.11279	+	1.28423i
$742$	−13.2112	−	0.833717i	−0.485000	−	0.0306067i
$743$	−13.0364	−	20.2851i	−0.478260	−	0.744187i	0.515359	−	0.856974i	$-0.327659\pi$
$743$	−13.0364	−	20.2851i	−0.478260	−	0.744187i	−0.993619	+	0.112787i	$0.964022\pi$
$744$	2.52743	+	5.53430i	0.0926601	+	0.202897i
$745$	1.50724	−	1.30603i	0.0552210	−	0.0478493i
$746$	14.1859	−	22.0738i	0.519385	−	0.808178i
$747$	0.0384026	−	0.267096i	0.00140508	−	0.00977254i
$748$	−32.7221	−	4.70473i	−1.19644	−	0.172022i
$749$	−4.08249	−	1.48386i	−0.149171	−	0.0542189i
$750$	−1.25091	+	1.08392i	−0.0456769	+	0.0395792i
$751$	16.6858	−	7.62017i	0.608875	−	0.278064i	−0.0870211	−	0.996206i	$-0.527735\pi$
$751$	16.6858	−	7.62017i	0.608875	−	0.278064i	0.695896	+	0.718143i	$0.255007\pi$
$752$	−0.255777	−	0.397996i	−0.00932721	−	0.0145134i
$753$	5.14967	−	17.5382i	0.187664	−	0.639126i
$754$	23.8954	+	20.7055i	0.870221	+	0.754050i
$755$	−0.911765	+	0.267718i	−0.0331825	+	0.00974327i
$756$	−0.540719	+	2.58991i	−0.0196658	+	0.0941940i
$757$	23.2954	−	3.34937i	0.846685	−	0.121735i	0.294701	−	0.955590i	$-0.404780\pi$
$757$	23.2954	−	3.34937i	0.846685	−	0.121735i	0.551984	+	0.833855i	$0.313871\pi$
$758$		−	10.7812i		−	0.391590i
$759$	14.6877	+	13.3299i	0.533128	+	0.483844i
$760$	1.37006			0.0496973
$761$	−19.1978	+	2.76023i	−0.695920	+	0.100058i	−0.481191	−	0.876616i	$-0.659796\pi$
$761$	−19.1978	+	2.76023i	−0.695920	+	0.100058i	−0.214729	+	0.976674i	$0.568887\pi$
$762$	12.1016	+	5.52661i	0.438394	+	0.200208i
$763$	−36.8218	+	20.5085i	−1.33304	+	0.742457i
$764$	5.77723	+	5.00600i	0.209013	+	0.181111i
$765$	−1.27296	−	0.373774i	−0.0460238	−	0.0135138i
$766$	−4.72694	+	3.03782i	−0.170791	+	0.109761i
$767$	−13.7108	−	30.0224i	−0.495067	−	1.08405i
$768$	0.755750	−	0.654861i	0.0272708	−	0.0236303i
$769$	10.8373	+	6.96473i	0.390804	+	0.251155i	0.721257	−	0.692668i	$-0.243565\pi$
$769$	10.8373	+	6.96473i	0.390804	+	0.251155i	−0.330452	+	0.943823i	$0.607201\pi$
$770$	0.144734	+	1.81040i	0.00521586	+	0.0652421i
$771$	0.531294	−	3.69523i	0.0191341	−	0.133080i
$772$	4.70531	+	3.02392i	0.169348	+	0.108833i
$773$	4.10011	+	4.73178i	0.147471	+	0.170190i	0.824679	−	0.565601i	$-0.191356\pi$
$773$	4.10011	+	4.73178i	0.147471	+	0.170190i	−0.677208	+	0.735791i	$0.736810\pi$
$774$	−2.31141	+	1.05559i	−0.0830821	+	0.0379423i
$775$	−16.3560	−	25.4504i	−0.587524	−	0.914206i
$776$	−11.5301	−	3.38553i	−0.413905	−	0.121533i
$777$	−25.7310	−	13.7717i	−0.923096	−	0.494056i
$778$	0.818344	+	2.78702i	0.0293390	+	0.0999196i
$779$	40.5901	+	18.5369i	1.45429	+	0.664152i
$780$	0.132367	+	0.920631i	0.00473949	+	0.0329639i
$781$		−	66.0785i		−	2.36447i
$782$	−11.6422	+	36.5237i	−0.416324	+	1.30609i
$783$			5.64230i			0.201639i
$784$	3.88261	+	5.82455i	0.138665	+	0.208020i
$785$	−0.540745	+	1.18407i	−0.0193000	+	0.0422611i
$786$	8.87631	−	2.60632i	0.316607	−	0.0929643i
$787$	1.81081	−	2.08978i	0.0645483	−	0.0744928i	−0.722557	−	0.691311i	$-0.757033\pi$
$787$	1.81081	−	2.08978i	0.0645483	−	0.0744928i	0.787105	+	0.616819i	$0.211579\pi$
$788$	8.27738	+	2.43046i	0.294869	+	0.0865815i
$789$	−5.39199	+	3.46522i	−0.191960	+	0.123365i
$790$	0.447192	−	0.204226i	0.0159104	−	0.00726603i
$791$	38.0917	+	28.0203i	1.35439	+	0.996287i
$792$	−2.23599	+	3.47926i	−0.0794524	+	0.123630i
$793$	27.8822	+	4.00885i	0.990124	+	0.142358i
$794$	15.6413	+	2.24887i	0.555088	+	0.0798095i
$795$	−0.698605	−	0.448966i	−0.0247770	−	0.0159232i
$796$	0.163522	+	0.188715i	0.00579589	+	0.00668881i
$797$	18.0906	+	39.6129i	0.640803	+	1.40316i	0.899378	+	0.437171i	$0.144020\pi$
$797$	18.0906	+	39.6129i	0.640803	+	1.40316i	−0.258576	+	0.965991i	$0.583253\pi$
$798$	−15.3129	+	15.5716i	−0.542071	+	0.551230i
$799$	−1.06540	+	3.62842i	−0.0376912	+	0.128364i
$800$	−3.25626	+	3.75793i	−0.115126	+	0.132863i
$801$	−1.18596	+	0.348228i	−0.0419037	+	0.0123040i
$802$	22.6135	+	10.3272i	0.798511	+	0.364668i
$803$	4.42438	+	30.7722i	0.156133	+	1.08593i
$804$	−8.32782			−0.293699
$805$	2.09823	+	0.180892i	0.0739527	+	0.00637559i
$806$	−34.0940			−1.20091
$807$	0.214207	+	1.48984i	0.00754043	+	0.0524449i
$808$	6.34897	+	2.89948i	0.223356	+	0.102003i
$809$	36.3727	−	10.6800i	1.27880	−	0.375489i	0.429338	−	0.903144i	$-0.358747\pi$
$809$	36.3727	−	10.6800i	1.27880	−	0.375489i	0.849459	+	0.527655i	$0.176929\pi$
$810$	−0.108692	+	0.125437i	−0.00381904	+	0.00440740i
$811$	0.687943	−	2.34292i	0.0241570	−	0.0822710i	−0.946532	−	0.322609i	$-0.895440\pi$
$811$	0.687943	−	2.34292i	0.0241570	−	0.0822710i	0.970689	+	0.240338i	$0.0772583\pi$
$812$	10.6438	+	10.4670i	0.373525	+	0.367319i
$813$	3.80140	+	8.32390i	0.133321	+	0.291932i
$814$	−29.8755	−	34.4782i	−1.04714	−	1.20846i
$815$	0.313514	+	0.201483i	0.0109819	+	0.00705765i
$816$	−7.91191	−	1.13756i	−0.276972	−	0.0398226i
$817$	−20.7616	−	2.98507i	−0.726357	−	0.104434i
$818$	4.65862	−	7.24895i	0.162885	−	0.253454i
$819$	−11.9430	−	8.78529i	−0.417323	−	0.306983i
$820$	0.816159	−	0.372727i	0.0285015	−	0.0130162i
$821$	7.50895	−	4.82571i	0.262064	−	0.168418i	−0.403010	−	0.915195i	$-0.632036\pi$
$821$	7.50895	−	4.82571i	0.262064	−	0.168418i	0.665075	+	0.746777i	$0.268400\pi$
$822$	−11.5702	−	3.39733i	−0.403559	−	0.118495i
$823$	8.75521	−	10.1041i	0.305188	−	0.352205i	−0.582352	−	0.812937i	$-0.697867\pi$
$823$	8.75521	−	10.1041i	0.305188	−	0.352205i	0.887540	+	0.460732i	$0.152413\pi$
$824$	−5.94217	+	1.74478i	−0.207005	+	0.0607822i
$825$	8.54306	−	18.7067i	0.297431	−	0.651283i
$826$	−5.56777	−	14.5542i	−0.193727	−	0.506407i
$827$			18.2132i			0.633333i	0.948537	+	0.316667i	$0.102564\pi$
$827$			18.2132i			0.633333i	−0.948537	+	0.316667i	$0.897436\pi$
$828$	3.55134	+	3.22304i	0.123418	+	0.112008i
$829$			3.85091i			0.133747i	0.997761	+	0.0668737i	$0.0213025\pi$
$829$			3.85091i			0.133747i	−0.997761	+	0.0668737i	$0.978698\pi$
$830$	−0.00637395	−	0.0443318i	−0.000221243	−	0.00153878i
$831$	2.45075	+	1.11922i	0.0850157	+	0.0388254i
$832$	1.57877	+	5.37679i	0.0547339	+	0.186407i
$833$	14.8621	−	53.9429i	0.514943	−	1.86901i
$834$	−11.5887	−	3.40276i	−0.401285	−	0.117828i
$835$	−0.755840	−	1.17611i	−0.0261569	−	0.0407010i
$836$	−31.0541	+	14.1819i	−1.07403	+	0.490492i
$837$	−3.98425	−	4.59807i	−0.137716	−	0.158932i
$838$	−20.0251	−	12.8694i	−0.691757	−	0.444565i
$839$	2.54009	−	17.6667i	0.0876937	−	0.609923i	−0.897824	−	0.440354i	$-0.854853\pi$
$839$	2.54009	−	17.6667i	0.0876937	−	0.609923i	0.985518	−	0.169570i	$-0.0542378\pi$
$840$	0.0349954	+	0.437737i	0.00120746	+	0.0151033i
$841$	2.38537	+	1.53298i	0.0822541	+	0.0528615i
$842$	−12.8122	+	11.1018i	−0.441537	+	0.382594i
$843$	2.71555	+	5.94622i	0.0935284	+	0.204799i
$844$	−9.95532	+	6.39789i	−0.342676	+	0.220225i
$845$	−2.93065	−	0.860515i	−0.100817	−	0.0296026i
$846$	0.357544	+	0.309814i	0.0122926	+	0.0106516i
$847$	−7.85936	−	14.1110i	−0.270051	−	0.484861i
$848$	−4.55117	−	2.07845i	−0.156288	−	0.0713743i
$849$	−8.23286	+	1.18371i	−0.282551	+	0.0406247i
$850$	39.7461			1.36328
$851$	−45.1491	+	27.5709i	−1.54769	+	0.945117i
$852$		−	15.9771i		−	0.547368i
$853$	−18.0226	+	2.59126i	−0.617082	+	0.0887229i	−0.443765	−	0.896143i	$-0.646358\pi$
$853$	−18.0226	+	2.59126i	−0.617082	+	0.0887229i	−0.173317	+	0.984866i	$0.555448\pi$
$854$	13.0188	+	2.71806i	0.445496	+	0.0930103i
$855$	−1.31456	+	0.385991i	−0.0449571	+	0.0132006i
$856$	−1.24079	−	1.07515i	−0.0424094	−	0.0367479i
$857$	−5.77604	+	19.6714i	−0.197306	+	0.671962i	0.800093	+	0.599877i	$0.204784\pi$
$857$	−5.77604	+	19.6714i	−0.197306	+	0.671962i	−0.997398	+	0.0720855i	$0.977035\pi$
$858$	−12.5300	−	19.4970i	−0.427767	−	0.665618i
$859$	−38.4922	+	17.5788i	−1.31334	+	0.599781i	−0.944132	−	0.329567i	$-0.893097\pi$
$859$	−38.4922	+	17.5788i	−1.31334	+	0.599781i	−0.369205	+	0.929348i	$0.620370\pi$
$860$	−0.318740	+	0.276190i	−0.0108690	+	0.00941801i
$861$	−4.88577	+	13.4421i	−0.166507	+	0.458105i
$862$	5.03724	+	0.724246i	0.171569	+	0.0246679i
$863$	3.35742	−	23.3514i	0.114288	−	0.794890i	−0.849379	−	0.527783i	$-0.823023\pi$
$863$	3.35742	−	23.3514i	0.114288	−	0.794890i	0.963667	−	0.267106i	$-0.0860675\pi$
$864$	−0.540641	+	0.841254i	−0.0183930	+	0.0286200i
$865$	−1.83734	+	1.59206i	−0.0624714	+	0.0541318i
$866$	13.8914	+	30.4179i	0.472049	+	1.03364i
$867$	25.3519	+	39.4483i	0.860996	+	1.33974i
$868$	−16.0651	−	1.01381i	−0.545285	−	0.0344111i
$869$	−8.02215	+	9.25806i	−0.272133	+	0.314058i
$870$	0.263840	+	0.898555i	0.00894500	+	0.0304639i
$871$	19.3863	−	42.4501i	0.656879	−	1.43837i
$872$	−15.7682	+	2.26713i	−0.533980	+	0.0767748i
$873$	12.0168			0.406708
$874$	10.2775	+	38.2300i	0.347640	+	1.29315i
$875$	−0.966686	−	4.27121i	−0.0326799	−	0.144393i
$876$	1.06977	+	7.44043i	0.0361443	+	0.251389i
$877$	0.0855069	−	0.187234i	0.00288736	−	0.00632245i	−0.908183	−	0.418574i	$-0.862530\pi$
$877$	0.0855069	−	0.187234i	0.00288736	−	0.00632245i	0.911070	+	0.412251i	$0.135257\pi$
$878$	−5.04546	−	17.1833i	−0.170276	−	0.579907i
$879$	13.3135	+	11.5362i	0.449054	+	0.389108i
$880$	−0.193395	+	0.658642i	−0.00651934	+	0.0222028i
$881$	−13.8281	+	8.88678i	−0.465881	+	0.299403i	−0.752442	−	0.658659i	$-0.771124\pi$
$881$	−13.8281	+	8.88678i	−0.465881	+	0.299403i	0.286561	+	0.958062i	$0.407488\pi$
$882$	−5.36630	−	4.49476i	−0.180693	−	0.151346i
$883$	−15.1624	−	17.4983i	−0.510255	−	0.588866i	0.440909	−	0.897552i	$-0.354656\pi$
$883$	−15.1624	−	17.4983i	−0.510255	−	0.588866i	−0.951164	+	0.308686i	$0.900111\pi$
$884$	24.2167	−	37.6819i	0.814495	−	1.26738i
$885$	0.139122	−	0.967615i	0.00467654	−	0.0325260i
$886$	−1.26196	+	8.77712i	−0.0423964	+	0.294873i
$887$	−5.66085	+	8.80845i	−0.190073	+	0.295759i	−0.923190	−	0.384343i	$-0.874428\pi$
$887$	−5.66085	+	8.80845i	−0.190073	+	0.295759i	0.733118	+	0.680102i	$0.238064\pi$
$888$	−7.22362	−	8.33650i	−0.242409	−	0.279755i
$889$	−28.0003	+	21.3290i	−0.939098	+	0.715353i
$890$	−0.172584	+	0.110913i	−0.00578504	+	0.00371782i
$891$	1.16519	−	3.96828i	0.0390354	−	0.132942i
$892$	6.93798	+	6.01179i	0.232301	+	0.201290i
$893$	1.10022	+	3.74702i	0.0368176	+	0.125389i
$894$	−4.99160	+	10.9301i	−0.166944	+	0.365556i
$895$	0.363194	+	2.52607i	0.0121402	+	0.0844372i
$896$	0.584031	+	2.58049i	0.0195111	+	0.0862080i
$897$	−24.6962	+	10.5996i	−0.824583	+	0.353911i
$898$	21.4488			0.715757
$899$	−33.9789	+	4.88543i	−1.13326	+	0.162938i
$900$	2.06563	−	4.52310i	0.0688544	−	0.150770i
$901$	11.2673	+	38.3728i	0.375367	+	1.27838i
$902$	−14.6410	+	16.8966i	−0.487493	+	0.562597i
$903$	0.423422	−	6.70962i	0.0140906	−	0.223282i
$904$	9.66289	+	15.0357i	0.321383	+	0.500081i
$905$	0.915528	+	2.00473i	0.0304332	+	0.0666394i
$906$	4.32685	−	3.74924i	0.143750	−	0.124560i
$907$	−26.5565	+	41.3227i	−0.881793	+	1.37210i	0.0459758	+	0.998943i	$0.485360\pi$
$907$	−26.5565	+	41.3227i	−0.881793	+	1.37210i	−0.927769	+	0.373155i	$0.878276\pi$
$908$	1.26911	−	8.82685i	0.0421169	−	0.292929i
$909$	−6.90866	−	0.993316i	−0.229146	−	0.0329462i
$910$	−2.31278	−	0.840620i	−0.0766678	−	0.0278663i
$911$	0.474126	−	0.410832i	0.0157085	−	0.0136115i	−0.646971	−	0.762514i	$-0.723965\pi$
$911$	0.474126	−	0.410832i	0.0157085	−	0.0136115i	0.662680	+	0.748903i	$0.269419\pi$
$912$	−7.50859	+	3.42906i	−0.248634	+	0.113547i
$913$	0.603365	+	0.938855i	0.0199685	+	0.0310716i
$914$	−4.86925	+	16.5831i	−0.161060	+	0.548521i
$915$	0.630541	+	0.546367i	0.0208450	+	0.0180623i
$916$	19.9914	−	5.87001i	0.660535	−	0.193950i
$917$	−5.00221	+	23.9593i	−0.165188	+	0.791207i
$918$	7.91191	−	1.13756i	0.261132	−	0.0375451i
$919$		−	19.0814i		−	0.629437i	−0.949185	−	0.314718i	$-0.898090\pi$
$919$		−	19.0814i		−	0.629437i	0.949185	−	0.314718i	$-0.101910\pi$
$920$	0.716276	+	0.347216i	0.0236149	+	0.0114474i
$921$	11.4086			0.375925
$922$	34.7624	−	4.99808i	1.14484	−	0.164603i
$923$	81.4416	+	37.1931i	2.68068	+	1.22423i
$924$	−5.32436	−	9.55958i	−0.175159	−	0.314487i
$925$	41.4529	+	35.9191i	1.36296	+	1.18101i
$926$	−27.3697	−	8.03648i	−0.899426	−	0.264095i
$927$	5.20991	−	3.34821i	0.171116	−	0.109970i
$928$	2.34389	+	5.13241i	0.0769421	+	0.168480i
$929$	−8.87104	+	7.68680i	−0.291049	+	0.252196i	−0.788130	−	0.615509i	$-0.788951\pi$
$929$	−8.87104	+	7.68680i	−0.291049	+	0.252196i	0.497081	+	0.867704i	$0.334405\pi$
$930$	−0.849516	−	0.545951i	−0.0278567	−	0.0179024i
$931$	−17.2055	−	55.1607i	−0.563887	−	1.80782i
$932$	−0.752824	+	5.23601i	−0.0246596	+	0.171511i
$933$	−14.9641	−	9.61683i	−0.489902	−	0.314841i
$934$	27.3618	+	31.5772i	0.895304	+	1.03324i
$935$	4.99112	−	2.27937i	0.163227	−	0.0745433i
$936$	−3.02963	−	4.71420i	−0.0990267	−	0.154089i
$937$	−32.2172	−	9.45981i	−1.05249	−	0.309039i	−0.290666	−	0.956825i	$-0.593877\pi$
$937$	−32.2172	−	9.45981i	−1.05249	−	0.309039i	−0.761822	+	0.647786i	$0.775695\pi$
$938$	10.3971	−	19.4260i	0.339477	−	0.634280i
$939$	−2.52869	−	8.61192i	−0.0825206	−	0.281039i
$940$	0.0714274	+	0.0326198i	0.00232971	+	0.00106394i
$941$	1.98282	+	13.7908i	0.0646381	+	0.449568i	0.996279	+	0.0861874i	$0.0274684\pi$
$941$	1.98282	+	13.7908i	0.0646381	+	0.449568i	−0.931641	+	0.363380i	$0.881623\pi$
$942$		−	7.84265i		−	0.255527i
$943$	16.5229	+	19.9780i	0.538060	+	0.650573i
$944$		−	5.88977i		−	0.191696i
$945$	−0.156902	−	0.410146i	−0.00510404	−	0.0133420i
$946$	4.36571	−	9.55957i	0.141941	−	0.310808i
$947$	26.2667	−	7.71259i	0.853552	−	0.250626i	0.174447	−	0.984667i	$-0.444186\pi$
$947$	26.2667	−	7.71259i	0.853552	−	0.250626i	0.679105	+	0.734041i	$0.262368\pi$
$948$	−1.93968	+	2.23851i	−0.0629979	+	0.0727035i
$949$	−40.4171	−	11.8675i	−1.31199	−	0.385236i
$950$	34.5295	−	22.1907i	1.12028	−	0.719963i
$951$	−8.92534	+	4.07607i	−0.289424	+	0.132176i
$952$	12.5314	−	17.0356i	0.406144	−	0.552126i
$953$	−20.9493	+	32.5978i	−0.678616	+	1.05595i	0.315636	+	0.948880i	$0.397782\pi$
$953$	−20.9493	+	32.5978i	−0.678616	+	1.05595i	−0.994252	+	0.107066i	$0.965854\pi$
$954$	4.95239	+	0.712046i	0.160339	+	0.0230533i
$955$	−1.25587	−	0.180567i	−0.0406391	−	0.00584302i
$956$	0.193970	+	0.124657i	0.00627345	+	0.00403170i
$957$	−15.2815	−	17.6358i	−0.493980	−	0.570083i
$958$	13.8627	+	30.3550i	0.447882	+	0.980726i
$959$	22.3700	−	22.7480i	0.722365	−	0.734570i
$960$	−0.0467611	+	0.159254i	−0.00150921	+	0.00513989i
$961$	3.93992	−	4.54691i	0.127094	−	0.146674i
$962$	59.3102	−	17.4150i	1.91224	−	0.561483i
$963$	1.49344	+	0.682029i	0.0481253	+	0.0219781i
$964$	0.191460	+	1.33163i	0.00616650	+	0.0428890i
$965$	−0.928344			−0.0298844
$966$	−11.9520	+	4.26017i	−0.384550	+	0.137069i
$967$	−15.9374			−0.512513			−0.256256	−	0.966609i	$-0.582489\pi$
$967$	−15.9374			−0.512513			−0.256256	+	0.966609i	$0.582489\pi$
$968$	−0.868822	−	6.04279i	−0.0279250	−	0.194223i
$969$	60.0181	+	27.4094i	1.92806	+	0.880516i
$970$	1.91372	−	0.561919i	0.0614459	−	0.0180421i
$971$	−13.9375	+	16.0847i	−0.447275	+	0.516183i	−0.933952	−	0.357399i	$-0.883664\pi$
$971$	−13.9375	+	16.0847i	−0.447275	+	0.516183i	0.486677	+	0.873582i	$0.338209\pi$
$972$	0.281733	−	0.959493i	0.00903658	−	0.0307758i
$973$	22.4057	−	22.7843i	0.718295	−	0.730431i
$974$	8.25214	+	18.0697i	0.264416	+	0.578989i
$975$	18.2474	+	21.0586i	0.584384	+	0.674415i
$976$	4.22878	+	2.71767i	0.135360	+	0.0869905i
$977$	−0.660286	−	0.0949347i	−0.0211244	−	0.00303723i	0.131745	−	0.991284i	$-0.457942\pi$
$977$	−0.660286	−	0.0949347i	−0.0211244	−	0.00303723i	−0.152869	+	0.988246i	$0.548851\pi$
$978$	−2.22249	−	0.319546i	−0.0710673	−	0.0102179i
$979$	2.76374	−	4.30046i	0.0883294	−	0.137443i
$980$	−1.06478	−	0.464872i	−0.0340132	−	0.0148498i
$981$	14.4908	−	6.61773i	0.462656	−	0.211288i
$982$	31.6428	−	20.3356i	1.00976	−	0.648934i
$983$	−24.2083	−	7.10820i	−0.772125	−	0.226716i	−0.128142	−	0.991756i	$-0.540901\pi$
$983$	−24.2083	−	7.10820i	−0.772125	−	0.226716i	−0.643983	+	0.765039i	$0.722719\pi$
$984$	−3.54006	+	4.08545i	−0.112853	+	0.130239i
$985$	−1.37385	+	0.403400i	−0.0437746	+	0.0128534i
$986$	18.7354	−	41.0247i	0.596656	−	1.30649i
$987$	−1.16908	+	0.447234i	−0.0372121	+	0.0142356i
$988$		−	46.2566i		−	1.47162i
$989$	−10.0978	−	6.82226i	−0.321091	−	0.216935i
$990$		−	0.686448i		−	0.0218168i
$991$	0.571304	+	3.97351i	0.0181481	+	0.126223i	0.996881	−	0.0789140i	$-0.0251452\pi$
$991$	0.571304	+	3.97351i	0.0181481	+	0.126223i	−0.978733	+	0.205137i	$0.934236\pi$
$992$	−5.53430	−	2.52743i	−0.175714	−	0.0802460i
$993$	−3.72764	−	12.6952i	−0.118293	−	0.402869i
$994$	37.2693	+	19.9471i	1.18211	+	0.632684i
$995$	−0.0397664	−	0.0116765i	−0.00126068	−	0.000370169i
$996$	0.145888	+	0.227006i	0.00462264	+	0.00719297i
$997$	20.8768	−	9.53410i	0.661174	−	0.301948i	−0.0564226	−	0.998407i	$-0.517969\pi$
$997$	20.8768	−	9.53410i	0.661174	−	0.301948i	0.717597	+	0.696459i	$0.245242\pi$
$998$	−9.78598	−	11.2936i	−0.309770	−	0.357494i
$999$	9.27968	+	5.96369i	0.293596	+	0.188683i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.s.b.181.12	yes	160
7.6	odd	2	inner	966.2.s.b.181.5	✓	160
23.15	odd	22	inner	966.2.s.b.475.5	yes	160
161.153	even	22	inner	966.2.s.b.475.12	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.s.b.181.5	✓	160	7.6	odd	2	inner
966.2.s.b.181.12	yes	160	1.1	even	1	trivial
966.2.s.b.475.5	yes	160	23.15	odd	22	inner
966.2.s.b.475.12	yes	160	161.153	even	22	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.s (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.142315 + 0.989821i) q^{2} +(0.909632 + 0.415415i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(0.108692 - 0.125437i) q^{5} +(-0.281733 + 0.959493i) q^{6} +(-1.88643 - 1.85509i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\)	\(q+(0.142315 + 0.989821i) q^{2} +(0.909632 + 0.415415i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(0.108692 - 0.125437i) q^{5} +(-0.281733 + 0.959493i) q^{6} +(-1.88643 - 1.85509i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(0.654861 + 0.755750i) q^{9} +(0.139629 + 0.0897338i) q^{10} +(-4.09371 - 0.588587i) q^{11} +(-0.989821 - 0.142315i) q^{12} +(3.02963 - 4.71420i) q^{13} +(1.56774 - 2.13124i) q^{14} +(0.150978 - 0.0689492i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-7.66948 - 2.25196i) q^{17} +(-0.654861 + 0.755750i) q^{18} +(-7.92017 + 2.32557i) q^{19} +(-0.0689492 + 0.150978i) q^{20} +(-0.945328 - 2.47110i) q^{21} -4.13581i q^{22} +(-4.73008 - 0.791396i) q^{23} -1.00000i q^{24} +(0.707654 + 4.92184i) q^{25} +(5.09738 + 2.32790i) q^{26} +(0.281733 + 0.959493i) q^{27} +(2.33266 + 1.24848i) q^{28} +(5.41374 + 1.58962i) q^{29} +(0.0897338 + 0.139629i) q^{30} +(-5.53430 + 2.52743i) q^{31} +(0.654861 + 0.755750i) q^{32} +(-3.47926 - 2.23599i) q^{33} +(1.13756 - 7.91191i) q^{34} +(-0.437737 + 0.0349954i) q^{35} +(-0.841254 - 0.540641i) q^{36} +(8.33650 - 7.22362i) q^{37} +(-3.42906 - 7.50859i) q^{38} +(4.71420 - 3.02963i) q^{39} +(-0.159254 - 0.0467611i) q^{40} +(-4.08545 - 3.54006i) q^{41} +(2.31142 - 1.28738i) q^{42} +(2.31141 + 1.05559i) q^{43} +(4.09371 - 0.588587i) q^{44} +0.165977 q^{45} +(0.110179 - 4.79457i) q^{46} -0.473099i q^{47} +(0.989821 - 0.142315i) q^{48} +(0.117269 + 6.99902i) q^{49} +(-4.77103 + 1.40090i) q^{50} +(-6.04091 - 5.23448i) q^{51} +(-1.57877 + 5.37679i) q^{52} +(-2.70499 - 4.20905i) q^{53} +(-0.909632 + 0.415415i) q^{54} +(-0.518783 + 0.449528i) q^{55} +(-0.903798 + 2.48659i) q^{56} +(-8.17051 - 1.17474i) q^{57} +(-0.802982 + 5.58486i) q^{58} +(3.18425 - 4.95479i) q^{59} +(-0.125437 + 0.108692i) q^{60} +(2.08819 + 4.57250i) q^{61} +(-3.28932 - 5.11828i) q^{62} +(0.166633 - 2.64050i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(-0.262039 - 0.892422i) q^{65} +(1.71808 - 3.76207i) q^{66} +(8.24305 - 1.18517i) q^{67} +7.99327 q^{68} +(-3.97388 - 2.68483i) q^{69} +(-0.0969356 - 0.428301i) q^{70} +(2.27379 + 15.8145i) q^{71} +(0.415415 - 0.909632i) q^{72} +(-2.11777 - 7.21246i) q^{73} +(8.33650 + 7.22362i) q^{74} +(-1.40090 + 4.77103i) q^{75} +(6.94415 - 4.46274i) q^{76} +(6.63064 + 8.70455i) q^{77} +(3.66970 + 4.23506i) q^{78} +(1.60136 - 2.49177i) q^{79} +(0.0236210 - 0.164287i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(2.92261 - 4.54767i) q^{82} +(-0.176710 - 0.203934i) q^{83} +(1.60323 + 2.10468i) q^{84} +(-1.11609 + 0.717266i) q^{85} +(-0.715894 + 2.43811i) q^{86} +(4.26416 + 3.69492i) q^{87} +(1.16519 + 3.96828i) q^{88} +(-0.513463 + 1.12433i) q^{89} +(0.0236210 + 0.164287i) q^{90} +(-14.4605 + 3.27278i) q^{91} +(4.76144 - 0.573280i) q^{92} -6.08411 q^{93} +(0.468283 - 0.0673290i) q^{94} +(-0.569144 + 1.24625i) q^{95} +(0.281733 + 0.959493i) q^{96} +(7.86935 - 9.08171i) q^{97} +(-6.91109 + 1.11214i) q^{98} +(-2.23599 - 3.47926i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q + 16 q^{2} - 16 q^{4} + 16 q^{8} + 16 q^{9}+O(q^{10}) \) 160 * q + 16 * q^2 - 16 * q^4 + 16 * q^8 + 16 * q^9	\( 160 q + 16 q^{2} - 16 q^{4} + 16 q^{8} + 16 q^{9} + 22 q^{14} - 16 q^{16} - 16 q^{18} - 52 q^{23} - 48 q^{25} + 22 q^{28} - 12 q^{29} + 16 q^{32} + 22 q^{35} + 16 q^{36} + 22 q^{37} - 4 q^{39} + 154 q^{43} + 8 q^{46} + 4 q^{50} + 22 q^{51} + 88 q^{53} + 22 q^{57} + 56 q^{58} - 16 q^{64} + 16 q^{71} - 16 q^{72} + 22 q^{74} - 72 q^{77} + 4 q^{78} + 88 q^{79} - 16 q^{81} - 22 q^{84} - 68 q^{85} - 44 q^{86} + 44 q^{88} - 8 q^{92} - 8 q^{93} - 66 q^{95} + 66 q^{98} - 66 q^{99}+O(q^{100}) \) 160 * q + 16 * q^2 - 16 * q^4 + 16 * q^8 + 16 * q^9 + 22 * q^14 - 16 * q^16 - 16 * q^18 - 52 * q^23 - 48 * q^25 + 22 * q^28 - 12 * q^29 + 16 * q^32 + 22 * q^35 + 16 * q^36 + 22 * q^37 - 4 * q^39 + 154 * q^43 + 8 * q^46 + 4 * q^50 + 22 * q^51 + 88 * q^53 + 22 * q^57 + 56 * q^58 - 16 * q^64 + 16 * q^71 - 16 * q^72 + 22 * q^74 - 72 * q^77 + 4 * q^78 + 88 * q^79 - 16 * q^81 - 22 * q^84 - 68 * q^85 - 44 * q^86 + 44 * q^88 - 8 * q^92 - 8 * q^93 - 66 * q^95 + 66 * q^98 - 66 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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