LMFDB - Embedded newform 966.2.be.a.493.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(19,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([0, 55, 45]))

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

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

chi := DirichletCharacter("966.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.be (of order $66$, degree $20$, 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:	$320$
Relative dimension:	$16$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			493.5
Character	$\chi$	$=$	966.493
Dual form			966.2.be.a.145.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.327068 - 0.945001i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(1.41577 - 0.135190i) q^{5} +(-0.989821 + 0.142315i) q^{6} +(-1.26510 + 2.32369i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})$	\(q+(0.327068 - 0.945001i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(1.41577 - 0.135190i) q^{5} +(-0.989821 + 0.142315i) q^{6} +(-1.26510 + 2.32369i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(0.335299 - 1.38212i) q^{10} +(-4.67961 + 1.61963i) q^{11} +(-0.189251 + 0.981929i) q^{12} +(0.488167 + 1.66255i) q^{13} +(1.78212 + 1.95552i) q^{14} +(-0.768906 - 1.19644i) q^{15} +(0.235759 + 0.971812i) q^{16} +(6.08344 + 2.43544i) q^{17} +(0.580057 + 0.814576i) q^{18} +(-3.94890 + 1.58090i) q^{19} +(-1.19644 - 0.768906i) q^{20} +(2.64508 + 0.0596864i) q^{21} +4.95196i q^{22} +(-4.79578 + 0.0225100i) q^{23} +(0.866025 + 0.500000i) q^{24} +(-2.92351 + 0.563460i) q^{25} +(1.73077 + 0.0824467i) q^{26} +(0.989821 + 0.142315i) q^{27} +(2.43084 - 1.04451i) q^{28} +(1.09467 + 7.61357i) q^{29} +(-1.38212 + 0.335299i) q^{30} +(-6.25049 + 0.297748i) q^{31} +(0.995472 + 0.0950560i) q^{32} +(3.58390 + 3.41725i) q^{33} +(4.29119 - 4.95230i) q^{34} +(-1.47695 + 3.46084i) q^{35} +(0.959493 - 0.281733i) q^{36} +(9.14767 + 6.51403i) q^{37} +(0.202394 + 4.24877i) q^{38} +(1.25404 - 1.19572i) q^{39} +(-1.11793 + 0.879153i) q^{40} +(-3.52242 - 1.60864i) q^{41} +(0.921524 - 2.48008i) q^{42} +(1.33318 - 2.07447i) q^{43} +(4.67961 + 1.61963i) q^{44} +(-0.711106 + 1.23167i) q^{45} +(-1.54727 + 4.53938i) q^{46} +(6.31745 - 3.64738i) q^{47} +(0.755750 - 0.654861i) q^{48} +(-3.79906 - 5.87938i) q^{49} +(-0.423716 + 2.94701i) q^{50} +(-0.622886 - 6.52316i) q^{51} +(0.643992 - 1.60861i) q^{52} +(-6.19727 - 6.49951i) q^{53} +(0.458227 - 0.888835i) q^{54} +(-6.40630 + 2.92566i) q^{55} +(-0.192015 - 2.63877i) q^{56} +(3.21465 + 2.78551i) q^{57} +(7.55286 + 1.45569i) q^{58} +(3.59913 + 0.873138i) q^{59} +(-0.135190 + 1.41577i) q^{60} +(-4.20939 - 2.17009i) q^{61} +(-1.76296 + 6.00410i) q^{62} +(-1.15899 - 2.37839i) q^{63} +(0.415415 - 0.909632i) q^{64} +(0.915892 + 2.28779i) q^{65} +(4.40148 - 2.26912i) q^{66} +(-1.95507 - 10.1439i) q^{67} +(-3.27642 - 5.67492i) q^{68} +(2.21756 + 4.25234i) q^{69} +(2.78744 + 2.52765i) q^{70} +(8.29404 + 9.57183i) q^{71} +(0.0475819 - 0.998867i) q^{72} +(-4.50946 + 5.73424i) q^{73} +(9.14767 - 6.51403i) q^{74} +(1.84045 + 2.34033i) q^{75} +(4.08129 + 1.19838i) q^{76} +(2.15664 - 12.9229i) q^{77} +(-0.719803 - 1.57615i) q^{78} +(1.07072 - 1.12294i) q^{79} +(0.465160 + 1.34399i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(-2.67223 + 2.80256i) q^{82} +(6.31879 + 13.8362i) q^{83} +(-2.04228 - 1.68200i) q^{84} +(8.94201 + 2.62561i) q^{85} +(-1.52433 - 1.93835i) q^{86} +(6.26561 - 4.46172i) q^{87} +(3.06110 - 3.89251i) q^{88} +(-0.308331 + 6.47266i) q^{89} +(0.931350 + 1.07484i) q^{90} +(-4.48082 - 0.968931i) q^{91} +(3.78365 + 2.94686i) q^{92} +(3.12879 + 5.41922i) q^{93} +(-1.38054 - 7.16293i) q^{94} +(-5.37702 + 2.77204i) q^{95} +(-0.371662 - 0.928368i) q^{96} +(-1.78500 + 3.90859i) q^{97} +(-6.79857 + 1.66716i) q^{98} +(1.39513 - 4.75137i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 16 q^{9}+O(q^{10}) $ 320 * q - 16 * q^2 + 16 * q^4 + 32 * q^8 - 16 * q^9	$ 320 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 16 q^{9} - 22 q^{14} + 16 q^{16} + 66 q^{17} + 16 q^{18} + 40 q^{23} - 48 q^{25} + 12 q^{26} + 44 q^{28} - 24 q^{29} + 24 q^{31} - 16 q^{32} + 98 q^{35} + 32 q^{36} - 22 q^{37} - 66 q^{38} - 8 q^{39} - 88 q^{43} + 4 q^{46} - 144 q^{47} - 24 q^{49} + 80 q^{50} - 22 q^{51} + 12 q^{52} + 44 q^{53} + 44 q^{57} + 10 q^{58} + 12 q^{59} - 32 q^{64} + 108 q^{70} - 16 q^{71} + 16 q^{72} - 180 q^{73} - 22 q^{74} - 12 q^{75} + 18 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 36 q^{82} + 22 q^{84} + 68 q^{85} - 22 q^{86} + 48 q^{87} + 22 q^{88} + 8 q^{92} + 8 q^{93} - 12 q^{94} + 66 q^{95} - 90 q^{98}+O(q^{100}) $ 320 * q - 16 * q^2 + 16 * q^4 + 32 * q^8 - 16 * q^9 - 22 * q^14 + 16 * q^16 + 66 * q^17 + 16 * q^18 + 40 * q^23 - 48 * q^25 + 12 * q^26 + 44 * q^28 - 24 * q^29 + 24 * q^31 - 16 * q^32 + 98 * q^35 + 32 * q^36 - 22 * q^37 - 66 * q^38 - 8 * q^39 - 88 * q^43 + 4 * q^46 - 144 * q^47 - 24 * q^49 + 80 * q^50 - 22 * q^51 + 12 * q^52 + 44 * q^53 + 44 * q^57 + 10 * q^58 + 12 * q^59 - 32 * q^64 + 108 * q^70 - 16 * q^71 + 16 * q^72 - 180 * q^73 - 22 * q^74 - 12 * q^75 + 18 * q^77 - 16 * q^78 + 44 * q^79 + 16 * q^81 + 36 * q^82 + 22 * q^84 + 68 * q^85 - 22 * q^86 + 48 * q^87 + 22 * q^88 + 8 * q^92 + 8 * q^93 - 12 * q^94 + 66 * q^95 - 90 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{22}\right)$

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 $

$2$	0.327068	−	0.945001i	0.231272	−	0.668216i
$2$	0.327068	−	0.945001i	0.231272	−	0.668216i
$3$	−0.458227	−	0.888835i	−0.264557	−	0.513169i
$3$	−0.458227	−	0.888835i	−0.264557	−	0.513169i
$4$	−0.786053	−	0.618159i	−0.393027	−	0.309079i
$5$	1.41577	−	0.135190i	0.633152	−	0.0604587i	0.226455	−	0.974022i	$-0.427286\pi$
$5$	1.41577	−	0.135190i	0.633152	−	0.0604587i	0.406697	+	0.913563i	$0.366680\pi$
$6$	−0.989821	+	0.142315i	−0.404093	+	0.0580998i
$7$	−1.26510	+	2.32369i	−0.478161	+	0.878272i
$7$	−1.26510	+	2.32369i	−0.478161	+	0.878272i
$8$	−0.841254	+	0.540641i	−0.297428	+	0.191145i
$9$	−0.580057	+	0.814576i	−0.193352	+	0.271525i
$10$	0.335299	−	1.38212i	0.106031	−	0.437065i
$11$	−4.67961	+	1.61963i	−1.41096	+	0.488336i	−0.923090	−	0.384583i	$-0.874345\pi$
$11$	−4.67961	+	1.61963i	−1.41096	+	0.488336i	−0.487865	+	0.872919i	$0.662224\pi$
$12$	−0.189251	+	0.981929i	−0.0546321	+	0.283458i
$13$	0.488167	+	1.66255i	0.135393	+	0.461107i	0.999078	−	0.0429248i	$-0.0136676\pi$
$13$	0.488167	+	1.66255i	0.135393	+	0.461107i	−0.863685	+	0.504032i	$0.831849\pi$
$14$	1.78212	+	1.95552i	0.476290	+	0.522635i
$15$	−0.768906	−	1.19644i	−0.198531	−	0.308920i
$16$	0.235759	+	0.971812i	0.0589397	+	0.242953i
$17$	6.08344	+	2.43544i	1.47545	+	0.590681i	0.963351	−	0.268245i	$-0.0864435\pi$
$17$	6.08344	+	2.43544i	1.47545	+	0.590681i	0.512100	+	0.858926i	$0.328868\pi$
$18$	0.580057	+	0.814576i	0.136721	+	0.191997i
$19$	−3.94890	+	1.58090i	−0.905939	+	0.362683i	−0.777389	−	0.629020i	$-0.783456\pi$
$19$	−3.94890	+	1.58090i	−0.905939	+	0.362683i	−0.128550	+	0.991703i	$0.541032\pi$
$20$	−1.19644	−	0.768906i	−0.267532	−	0.171933i
$21$	2.64508	+	0.0596864i	0.577203	+	0.0130246i
$22$			4.95196i			1.05576i
$23$	−4.79578	+	0.0225100i	−0.999989	+	0.00469365i
$23$	−4.79578	+	0.0225100i	−0.999989	+	0.00469365i
$24$	0.866025	+	0.500000i	0.176777	+	0.102062i
$25$	−2.92351	+	0.563460i	−0.584702	+	0.112692i
$26$	1.73077	+	0.0824467i	0.339432	+	0.0161691i
$27$	0.989821	+	0.142315i	0.190491	+	0.0273885i
$28$	2.43084	−	1.04451i	0.459386	−	0.197394i
$29$	1.09467	+	7.61357i	0.203274	+	1.41380i	0.794483	+	0.607286i	$0.207742\pi$
$29$	1.09467	+	7.61357i	0.203274	+	1.41380i	−0.591209	+	0.806519i	$0.701349\pi$
$30$	−1.38212	+	0.335299i	−0.252340	+	0.0612170i
$31$	−6.25049	+	0.297748i	−1.12262	+	0.0534770i	−0.600669	−	0.799498i	$-0.705099\pi$
$31$	−6.25049	+	0.297748i	−1.12262	+	0.0534770i	−0.521952	+	0.852975i	$0.674796\pi$
$32$	0.995472	+	0.0950560i	0.175976	+	0.0168037i
$33$	3.58390	+	3.41725i	0.623878	+	0.594866i
$34$	4.29119	−	4.95230i	0.735933	−	0.849312i
$35$	−1.47695	+	3.46084i	−0.249650	+	0.584989i
$36$	0.959493	−	0.281733i	0.159915	−	0.0469554i
$37$	9.14767	+	6.51403i	1.50387	+	1.07090i	0.975003	+	0.222194i	$0.0713217\pi$
$37$	9.14767	+	6.51403i	1.50387	+	1.07090i	0.528865	+	0.848706i	$0.322618\pi$
$38$	0.202394	+	4.24877i	0.0328326	+	0.689242i
$39$	1.25404	−	1.19572i	0.200807	−	0.191469i
$40$	−1.11793	+	0.879153i	−0.176761	+	0.139006i
$41$	−3.52242	−	1.60864i	−0.550110	−	0.251227i	0.120913	−	0.992663i	$-0.461418\pi$
$41$	−3.52242	−	1.60864i	−0.550110	−	0.251227i	−0.671023	+	0.741436i	$0.734145\pi$
$42$	0.921524	−	2.48008i	0.142194	−	0.382685i
$43$	1.33318	−	2.07447i	0.203308	−	0.316353i	−0.724595	−	0.689175i	$-0.757973\pi$
$43$	1.33318	−	2.07447i	0.203308	−	0.316353i	0.927903	+	0.372821i	$0.121610\pi$
$44$	4.67961	+	1.61963i	0.705478	+	0.244168i
$45$	−0.711106	+	1.23167i	−0.106005	+	0.183607i
$46$	−1.54727	+	4.53938i	−0.228133	+	0.669295i
$47$	6.31745	−	3.64738i	0.921494	−	0.532025i	0.0373829	−	0.999301i	$-0.488098\pi$
$47$	6.31745	−	3.64738i	0.921494	−	0.532025i	0.884112	+	0.467276i	$0.154765\pi$
$48$	0.755750	−	0.654861i	0.109083	−	0.0945210i
$49$	−3.79906	−	5.87938i	−0.542723	−	0.839912i
$50$	−0.423716	+	2.94701i	−0.0599225	+	0.416770i
$51$	−0.622886	−	6.52316i	−0.0872215	−	0.913425i
$52$	0.643992	−	1.60861i	0.0893056	−	0.223075i
$53$	−6.19727	−	6.49951i	−0.851260	−	0.892776i	0.144044	−	0.989571i	$-0.453989\pi$
$53$	−6.19727	−	6.49951i	−0.851260	−	0.892776i	−0.995304	+	0.0967951i	$0.969141\pi$
$54$	0.458227	−	0.888835i	0.0623567	−	0.120955i
$55$	−6.40630	+	2.92566i	−0.863825	+	0.394496i
$56$	−0.192015	−	2.63877i	−0.0256590	−	0.352621i
$57$	3.21465	+	2.78551i	0.425791	+	0.368950i
$58$	7.55286	+	1.45569i	0.991739	+	0.191142i
$59$	3.59913	+	0.873138i	0.468566	+	0.113673i	0.463088	−	0.886312i	$-0.346741\pi$
$59$	3.59913	+	0.873138i	0.468566	+	0.113673i	0.00547776	+	0.999985i	$0.498256\pi$
$60$	−0.135190	+	1.41577i	−0.0174529	+	0.182775i
$61$	−4.20939	−	2.17009i	−0.538957	−	0.277852i	0.167181	−	0.985926i	$-0.446534\pi$
$61$	−4.20939	−	2.17009i	−0.538957	−	0.277852i	−0.706138	+	0.708075i	$0.749564\pi$
$62$	−1.76296	+	6.00410i	−0.223897	+	0.762522i
$63$	−1.15899	−	2.37839i	−0.146019	−	0.299649i
$64$	0.415415	−	0.909632i	0.0519269	−	0.113704i
$65$	0.915892	+	2.28779i	0.113602	+	0.283765i
$66$	4.40148	−	2.26912i	0.541785	−	0.279309i
$67$	−1.95507	−	10.1439i	−0.238850	−	1.23927i	−0.881157	−	0.472825i	$-0.843234\pi$
$67$	−1.95507	−	10.1439i	−0.238850	−	1.23927i	0.642306	−	0.766448i	$-0.277978\pi$
$68$	−3.27642	−	5.67492i	−0.397324	−	0.688185i
$69$	2.21756	+	4.25234i	0.266963	+	0.511922i
$70$	2.78744	+	2.52765i	0.333162	+	0.302112i
$71$	8.29404	+	9.57183i	0.984321	+	1.13597i	0.990711	+	0.135988i	$0.0434208\pi$
$71$	8.29404	+	9.57183i	0.984321	+	1.13597i	−0.00638915	+	0.999980i	$0.502034\pi$
$72$	0.0475819	−	0.998867i	0.00560758	−	0.117718i
$73$	−4.50946	+	5.73424i	−0.527792	+	0.671142i	−0.974721	−	0.223428i	$-0.928275\pi$
$73$	−4.50946	+	5.73424i	−0.527792	+	0.671142i	0.446929	+	0.894570i	$0.352518\pi$
$74$	9.14767	−	6.51403i	1.06340	−	0.757240i
$75$	1.84045	+	2.34033i	0.212517	+	0.270238i
$76$	4.08129	+	1.19838i	0.468156	+	0.137463i
$77$	2.15664	−	12.9229i	0.245772	−	1.47271i
$78$	−0.719803	−	1.57615i	−0.0815017	−	0.178464i
$79$	1.07072	−	1.12294i	0.120466	−	0.126341i	−0.660739	−	0.750616i	$-0.729757\pi$
$79$	1.07072	−	1.12294i	0.120466	−	0.126341i	0.781205	+	0.624275i	$0.214606\pi$
$80$	0.465160	+	1.34399i	0.0520064	+	0.150263i
$81$	−0.327068	−	0.945001i	−0.0363409	−	0.105000i
$82$	−2.67223	+	2.80256i	−0.295099	+	0.309491i
$83$	6.31879	+	13.8362i	0.693577	+	1.51872i	0.847589	+	0.530653i	$0.178053\pi$
$83$	6.31879	+	13.8362i	0.693577	+	1.51872i	−0.154012	+	0.988069i	$0.549220\pi$
$84$	−2.04228	−	1.68200i	−0.222831	−	0.183521i
$85$	8.94201	+	2.62561i	0.969897	+	0.284787i
$86$	−1.52433	−	1.93835i	−0.164373	−	0.209017i
$87$	6.26561	−	4.46172i	0.671744	−	0.478346i
$88$	3.06110	−	3.89251i	0.326314	−	0.414942i
$89$	−0.308331	+	6.47266i	−0.0326830	+	0.686100i	0.921770	+	0.387738i	$0.126743\pi$
$89$	−0.308331	+	6.47266i	−0.0326830	+	0.686100i	−0.954453	+	0.298363i	$0.903560\pi$
$90$	0.931350	+	1.07484i	0.0981730	+	0.113298i
$91$	−4.48082	−	0.968931i	−0.469717	−	0.101572i
$92$	3.78365	+	2.94686i	0.394473	+	0.307231i
$93$	3.12879	+	5.41922i	0.324440	+	0.561947i
$94$	−1.38054	−	7.16293i	−0.142392	−	0.738800i
$95$	−5.37702	+	2.77204i	−0.551670	+	0.284406i
$96$	−0.371662	−	0.928368i	−0.0379326	−	0.0947512i
$97$	−1.78500	+	3.90859i	−0.181239	+	0.396858i	−0.978345	−	0.206982i	$-0.933636\pi$
$97$	−1.78500	+	3.90859i	−0.181239	+	0.396858i	0.797106	+	0.603839i	$0.206363\pi$
$98$	−6.79857	+	1.66716i	−0.686759	+	0.168409i
$99$	1.39513	−	4.75137i	0.140216	−	0.477531i
$100$	2.64634	+	1.36428i	0.264634	+	0.136428i
$101$	−0.449623	+	4.70867i	−0.0447392	+	0.468530i	0.945145	+	0.326651i	$0.105920\pi$
$101$	−0.449623	+	4.70867i	−0.0447392	+	0.468530i	−0.989884	+	0.141879i	$0.954686\pi$
$102$	−6.36812	−	1.54489i	−0.630538	−	0.152967i
$103$	7.84742	+	1.51247i	0.773229	+	0.149028i	0.560579	−	0.828101i	$-0.310578\pi$
$103$	7.84742	+	1.51247i	0.773229	+	0.149028i	0.212650	+	0.977128i	$0.431791\pi$
$104$	−1.30951	−	1.13470i	−0.128408	−	0.111266i
$105$	3.75290	−	0.273085i	0.366245	−	0.0266504i
$106$	−8.16897	+	3.73064i	−0.793440	+	0.362352i
$107$	−0.829426	+	1.60886i	−0.0801837	+	0.155535i	−0.925519	−	0.378702i	$-0.876371\pi$
$107$	−0.829426	+	1.60886i	−0.0801837	+	0.155535i	0.845335	+	0.534237i	$0.179401\pi$
$108$	−0.690079	−	0.723734i	−0.0664029	−	0.0696413i
$109$	4.61563	−	11.5293i	0.442097	−	1.10431i	−0.525272	−	0.850934i	$-0.676036\pi$
$109$	4.61563	−	11.5293i	0.442097	−	1.10431i	0.967369	−	0.253371i	$-0.0815393\pi$
$110$	0.669455	+	7.01085i	0.0638300	+	0.668458i
$111$	1.59819	−	11.1157i	0.151694	−	1.05505i
$112$	−2.55645	−	0.681605i	−0.241561	−	0.0644056i
$113$	4.34295	−	3.76319i	0.408551	−	0.354011i	−0.426210	−	0.904624i	$-0.640151\pi$
$113$	4.34295	−	3.76319i	0.408551	−	0.354011i	0.834761	+	0.550613i	$0.185606\pi$
$114$	3.68372	−	2.12680i	0.345012	−	0.199193i
$115$	−6.78668	+	0.680209i	−0.632862	+	0.0634298i
$116$	3.84593	−	6.66135i	0.357086	−	0.618491i
$117$	−1.63743	−	0.566721i	−0.151381	−	0.0523934i
$118$	2.00228	−	3.11560i	0.184324	−	0.286814i
$119$	−13.3553	+	11.0550i	−1.22428	+	1.01341i
$120$	1.29369	+	0.590808i	0.118097	+	0.0539331i
$121$	10.6290	−	8.35870i	0.966269	−	0.759882i
$122$	−3.42749	+	3.26811i	−0.310311	+	0.295881i
$123$	0.184254	+	3.86797i	0.0166136	+	0.348763i
$124$	5.09727	+	3.62975i	0.457749	+	0.325961i
$125$	−10.8859	+	3.19638i	−0.973661	+	0.285893i
$126$	−2.62665	+	0.317355i	−0.234001	+	0.0282722i
$127$	0.759120	−	0.876072i	0.0673610	−	0.0777388i	−0.721069	−	0.692863i	$-0.756349\pi$
$127$	0.759120	−	0.876072i	0.0673610	−	0.0777388i	0.788430	+	0.615125i	$0.210894\pi$
$128$	−0.723734	−	0.690079i	−0.0639697	−	0.0609949i
$129$	−2.45476	−	0.234401i	−0.216129	−	0.0206379i
$130$	2.46152	−	0.117257i	0.215890	−	0.0102841i
$131$	−15.8363	+	3.84184i	−1.38362	+	0.335663i	−0.857385	−	0.514675i	$-0.827913\pi$
$131$	−15.8363	+	3.84184i	−1.38362	+	0.335663i	−0.526237	+	0.850338i	$0.676397\pi$
$132$	−0.704738	−	4.90156i	−0.0613395	−	0.426626i
$133$	1.32222	−	11.1760i	0.114651	−	0.969082i
$134$	−10.2254	−	1.47019i	−0.883342	−	0.127005i
$135$	1.42060	+	0.0676715i	0.122266	+	0.00582424i
$136$	−6.43441	+	1.24013i	−0.551746	+	0.106340i
$137$	−6.66047	−	3.84542i	−0.569042	−	0.328537i	0.187724	−	0.982222i	$-0.439889\pi$
$137$	−6.66047	−	3.84542i	−0.569042	−	0.328537i	−0.756767	+	0.653685i	$0.773222\pi$
$138$	4.74376	−	0.704791i	0.403816	−	0.0599958i
$139$		−	19.4276i		−	1.64783i	−0.566714	−	0.823915i	$-0.691785\pi$
$139$		−	19.4276i		−	1.64783i	0.566714	−	0.823915i	$-0.308215\pi$
$140$	3.30031	−	1.80742i	0.278927	−	0.152755i
$141$	−6.13674	−	3.94385i	−0.516807	−	0.332132i
$142$	11.7581	−	4.70723i	0.986718	−	0.395022i
$143$	−4.97714	−	6.98941i	−0.416209	−	0.584484i
$144$	−0.928368	−	0.371662i	−0.0773640	−	0.0309719i
$145$	2.57907	+	10.6311i	0.214180	+	0.882864i
$146$	3.94396	+	6.13692i	0.326405	+	0.507896i
$147$	−3.48497	+	6.07083i	−0.287436	+	0.500714i
$148$	−3.16385	−	10.7751i	−0.260067	−	0.885707i
$149$	−2.97860	+	15.4545i	−0.244017	+	1.26608i	0.628622	+	0.777711i	$0.283619\pi$
$149$	−2.97860	+	15.4545i	−0.244017	+	1.26608i	−0.872638	+	0.488367i	$0.837593\pi$
$150$	2.81356	−	0.973784i	0.229727	−	0.0795091i
$151$	−3.76592	+	15.5233i	−0.306466	+	1.26327i	0.585315	+	0.810806i	$0.300971\pi$
$151$	−3.76592	+	15.5233i	−0.306466	+	1.26327i	−0.891782	+	0.452466i	$0.850544\pi$
$152$	2.46733	−	3.46487i	0.200126	−	0.281038i
$153$	−5.51259	+	3.54273i	−0.445667	+	0.286413i
$154$	−11.5068	−	6.26471i	−0.927246	−	0.504825i
$155$	−8.80901	+	1.26654i	−0.707557	+	0.101731i
$156$	−1.72489	+	0.164707i	−0.138101	+	0.0131871i
$157$	−9.27587	−	7.29462i	−0.740295	−	0.582174i	0.175186	−	0.984535i	$-0.443947\pi$
$157$	−9.27587	−	7.29462i	−0.740295	−	0.582174i	−0.915481	+	0.402361i	$0.868190\pi$
$158$	−0.710980	−	1.37911i	−0.0565626	−	0.109716i
$159$	−2.93724	+	8.48660i	−0.232938	+	0.673031i
$160$	1.42221			0.112436
$161$	6.01482	−	11.1724i	0.474034	−	0.880507i
$162$	−1.00000			−0.0785674
$163$	4.56433	−	13.1878i	0.357506	−	1.03295i	−0.612627	−	0.790372i	$-0.709887\pi$
$163$	4.56433	−	13.1878i	0.357506	−	1.03295i	0.970133	−	0.242574i	$-0.0779917\pi$
$164$	1.77442	+	3.44189i	0.138559	+	0.268766i
$165$	5.53597	+	4.35353i	0.430974	+	0.338922i
$166$	15.1419	−	1.44588i	1.17524	−	0.112222i
$167$	−23.4700	+	3.37447i	−1.81616	+	0.261124i	−0.964711	−	0.263312i	$-0.915185\pi$
$167$	−23.4700	+	3.37447i	−1.81616	+	0.261124i	−0.851449	+	0.524437i	$0.824276\pi$
$168$	−2.25745	+	1.37983i	−0.174166	+	0.106456i
$169$	8.41055	−	5.40513i	0.646965	−	0.415779i
$170$	5.40585	−	7.59145i	0.414610	−	0.582238i
$171$	1.00282	−	4.13369i	0.0766877	−	0.316111i
$172$	−2.33030	+	0.806525i	−0.177684	+	0.0614969i
$173$	−2.45968	+	12.7620i	−0.187006	+	0.970279i	0.760209	+	0.649679i	$0.225097\pi$
$173$	−2.45968	+	12.7620i	−0.187006	+	0.970279i	−0.947215	+	0.320600i	$0.896116\pi$
$174$	−2.16705	−	7.38029i	−0.164284	−	0.559498i
$175$	2.38922	−	7.50616i	0.180608	−	0.567412i
$176$	−2.67723	−	4.16586i	−0.201804	−	0.314013i
$177$	−0.873138	−	3.59913i	−0.0656291	−	0.270527i
$178$	6.01582	+	2.40837i	0.450905	+	0.180515i
$179$	7.07488	+	9.93528i	0.528801	+	0.742597i	0.989433	−	0.144994i	$-0.0463163\pi$
$179$	7.07488	+	9.93528i	0.528801	+	0.742597i	−0.460631	+	0.887592i	$0.652377\pi$
$180$	1.32034	−	0.528583i	0.0984120	−	0.0393982i
$181$	−9.77337	−	6.28096i	−0.726449	−	0.466860i	0.124426	−	0.992229i	$-0.460291\pi$
$181$	−9.77337	−	6.28096i	−0.726449	−	0.466860i	−0.850875	+	0.525369i	$0.823927\pi$
$182$	−2.38117	+	3.91747i	−0.176504	+	0.290382i
$183$			4.73585i			0.350084i
$184$	4.02230	−	2.61173i	0.296528	−	0.192539i
$185$	13.8316	+	7.98570i	1.01692	+	0.587121i
$186$	6.14449	−	1.18425i	0.450536	−	0.0868337i
$187$	−32.4126	−	1.54400i	−2.37025	−	0.112909i
$188$	−7.22051	−	1.03815i	−0.526610	−	0.0757151i
$189$	−1.58291	+	2.12000i	−0.115140	+	0.154207i
$190$	0.860935	+	5.98793i	0.0624588	+	0.434410i
$191$	22.9184	−	5.55994i	1.65832	−	0.402303i	0.706193	−	0.708020i	$-0.250411\pi$
$191$	22.9184	−	5.55994i	1.65832	−	0.402303i	0.952123	+	0.305717i	$0.0988960\pi$
$192$	−0.998867	+	0.0475819i	−0.0720870	+	0.00343393i
$193$	−16.3270	−	1.55904i	−1.17524	−	0.112222i	−0.510894	−	0.859644i	$-0.670686\pi$
$193$	−16.3270	−	1.55904i	−1.17524	−	0.112222i	−0.664350	+	0.747421i	$0.731292\pi$
$194$	3.10981	+	2.96520i	0.223271	+	0.212889i
$195$	1.61378	−	1.86240i	0.115565	−	0.133369i
$196$	−0.648127	+	6.96993i	−0.0462948	+	0.497852i
$197$	3.31788	−	0.974217i	0.236389	−	0.0694101i	−0.161392	−	0.986890i	$-0.551598\pi$
$197$	3.31788	−	0.974217i	0.236389	−	0.0694101i	0.397781	+	0.917480i	$0.369780\pi$
$198$	−4.03375	−	2.87242i	−0.286666	−	0.204134i
$199$	−0.241136	−	5.06206i	−0.0170937	−	0.358840i	−0.991168	−	0.132612i	$-0.957664\pi$
$199$	−0.241136	−	5.06206i	−0.0170937	−	0.358840i	0.974074	−	0.226228i	$-0.0726395\pi$
$200$	2.15478	−	2.05458i	0.152366	−	0.145281i
$201$	−8.12038	+	6.38593i	−0.572767	+	0.450429i
$202$	4.30264	+	1.96495i	0.302733	+	0.138253i
$203$	−19.0764	−	7.08824i	−1.33890	−	0.497497i
$204$	−3.54273	+	5.51259i	−0.248041	+	0.385959i
$205$	−5.20442	−	1.80127i	−0.363492	−	0.125806i
$206$	3.99592	−	6.92114i	0.278409	−	0.482219i
$207$	2.76349	−	3.91958i	0.192076	−	0.272430i
$208$	−1.50059	+	0.866366i	−0.104047	+	0.0600717i
$209$	15.9188	−	13.7937i	1.10113	−	0.954133i
$210$	0.969386	−	3.63581i	0.0668940	−	0.250894i
$211$	−0.385332	+	2.68004i	−0.0265273	+	0.184502i	−0.998777	−	0.0494446i	$-0.984255\pi$
$211$	−0.385332	+	2.68004i	−0.0265273	+	0.184502i	0.972250	+	0.233946i	$0.0751640\pi$
$212$	0.853653	+	8.93986i	0.0586291	+	0.613992i
$213$	4.70723	−	11.7581i	0.322534	−	0.805652i
$214$	1.24910	+	1.31002i	0.0853865	+	0.0895508i
$215$	1.60703	−	3.11720i	0.109599	−	0.212592i
$216$	−0.909632	+	0.415415i	−0.0618926	+	0.0282654i
$217$	7.21560	−	14.9009i	0.489827	−	1.01154i
$218$	−9.38556	−	8.13263i	−0.635670	−	0.550811i
$219$	7.16315	+	1.38058i	0.484041	+	0.0932912i
$220$	6.84421	+	1.66039i	0.461437	+	0.111943i
$221$	−1.07930	+	11.3029i	−0.0726013	+	0.760315i
$222$	−9.98160	−	5.14587i	−0.669921	−	0.345368i
$223$	1.23291	−	4.19892i	0.0825621	−	0.281181i	−0.907856	−	0.419282i	$-0.862282\pi$
$223$	1.23291	−	4.19892i	0.0825621	−	0.281181i	0.990418	+	0.138101i	$0.0441000\pi$
$224$	−1.48025	+	2.19291i	−0.0989033	+	0.146520i
$225$	1.23682	−	2.70826i	0.0824547	−	0.180551i
$226$	−2.13578	−	5.33491i	−0.142070	−	0.354873i
$227$	−6.44535	+	3.32281i	−0.427793	+	0.220543i	−0.658657	−	0.752443i	$-0.728875\pi$
$227$	−6.44535	+	3.32281i	−0.427793	+	0.220543i	0.230864	+	0.972986i	$0.425845\pi$
$228$	−0.804997	−	4.17672i	−0.0533123	−	0.276610i
$229$	−0.338160	−	0.585711i	−0.0223463	−	0.0387049i	0.854636	−	0.519228i	$-0.173780\pi$
$229$	−0.338160	−	0.585711i	−0.0223463	−	0.0387049i	−0.876982	+	0.480523i	$0.840447\pi$
$230$	−1.57691	+	6.63590i	−0.103978	+	0.437558i
$231$	−12.4746	+	4.00473i	−0.820768	+	0.263492i
$232$	−5.03710	−	5.81312i	−0.330702	−	0.381650i
$233$	−0.624267	+	13.1050i	−0.0408971	+	0.858535i	0.881475	+	0.472231i	$0.156551\pi$
$233$	−0.624267	+	13.1050i	−0.0408971	+	0.858535i	−0.922372	+	0.386304i	$0.873752\pi$
$234$	−1.07110	+	1.36202i	−0.0700203	+	0.0890380i
$235$	8.45097	−	6.01791i	0.551281	−	0.392565i
$236$	−2.28937	−	2.91116i	−0.149025	−	0.189501i
$237$	−1.48874	−	0.437134i	−0.0967041	−	0.0283949i
$238$	6.07883	+	16.2365i	0.394032	+	1.05246i
$239$	−2.89059	−	6.32951i	−0.186977	−	0.409422i	0.792809	−	0.609470i	$-0.208618\pi$
$239$	−2.89059	−	6.32951i	−0.186977	−	0.409422i	−0.979786	+	0.200048i	$0.935890\pi$
$240$	0.981438	−	1.02930i	0.0633516	−	0.0664412i
$241$	−4.54630	−	13.1357i	−0.292853	−	0.846143i	−0.991434	−	0.130612i	$-0.958306\pi$
$241$	−4.54630	−	13.1357i	−0.292853	−	0.846143i	0.698580	−	0.715531i	$-0.253815\pi$
$242$	−4.42259	−	12.7782i	−0.284295	−	0.821416i
$243$	−0.690079	+	0.723734i	−0.0442686	+	0.0464276i
$244$	1.96734	+	4.30788i	0.125946	+	0.275784i
$245$	−6.17344	−	7.81027i	−0.394406	−	0.498980i
$246$	3.71550	+	1.09097i	0.236892	+	0.0695577i
$247$	−4.55604	−	5.79348i	−0.289894	−	0.368630i
$248$	5.09727	−	3.62975i	0.323677	−	0.230489i
$249$	9.40268	−	11.9565i	0.595871	−	0.757711i
$250$	−0.539837	+	11.3326i	−0.0341423	+	0.716735i
$251$	−10.5108	−	12.1301i	−0.663437	−	0.765647i	0.319897	−	0.947452i	$-0.396352\pi$
$251$	−10.5108	−	12.1301i	−0.663437	−	0.765647i	−0.983335	+	0.181805i	$0.941806\pi$
$252$	−0.559192	+	2.58598i	−0.0352258	+	0.162902i
$253$	22.4059	−	7.87272i	1.40865	−	0.494953i
$254$	−0.579604	−	1.00390i	−0.0363676	−	0.0629906i
$255$	−1.76373	−	9.15110i	−0.110449	−	0.573064i
$256$	−0.888835	+	0.458227i	−0.0555522	+	0.0286392i
$257$	7.65706	+	19.1264i	0.477634	+	1.19307i	0.950162	+	0.311757i	$0.100917\pi$
$257$	7.65706	+	19.1264i	0.477634	+	1.19307i	−0.472528	+	0.881316i	$0.656658\pi$
$258$	−1.02438	+	2.24308i	−0.0637752	+	0.139648i
$259$	−26.7093	+	13.0155i	−1.65963	+	0.808742i
$260$	0.694277	−	2.36449i	0.0430572	−	0.146639i
$261$	−6.83680	−	3.52462i	−0.423187	−	0.218168i
$262$	−1.54900	+	16.2218i	−0.0956974	+	1.00219i
$263$	26.7205	+	6.48232i	1.64766	+	0.399717i	0.948883	−	0.315627i	$-0.102215\pi$
$263$	26.7205	+	6.48232i	1.64766	+	0.399717i	0.698773	+	0.715344i	$0.253730\pi$
$264$	−4.86247	−	0.937165i	−0.299265	−	0.0576785i
$265$	−9.65259	−	8.36401i	−0.592954	−	0.513797i
$266$	−10.1289	−	4.90481i	−0.621041	−	0.300733i
$267$	5.89441	−	2.69189i	0.360732	−	0.164741i
$268$	−4.73374	+	9.18218i	−0.289159	+	0.560891i
$269$	−7.27231	−	7.62698i	−0.443400	−	0.465025i	0.463668	−	0.886009i	$-0.346533\pi$
$269$	−7.27231	−	7.62698i	−0.443400	−	0.465025i	−0.907068	+	0.420984i	$0.861685\pi$
$270$	0.528583	−	1.32034i	0.0321685	−	0.0803531i
$271$	2.93219	+	30.7073i	0.178118	+	1.86534i	0.437045	+	0.899440i	$0.356025\pi$
$271$	2.93219	+	30.7073i	0.178118	+	1.86534i	−0.258927	+	0.965897i	$0.583369\pi$
$272$	−0.932565	+	6.48613i	−0.0565451	+	0.393280i
$273$	1.19201	+	4.42670i	0.0721437	+	0.267916i
$274$	−5.81235	+	5.03643i	−0.351137	+	0.304262i
$275$	12.7683	−	7.37177i	0.769957	−	0.444535i
$276$	0.885504	−	4.71337i	0.0533011	−	0.283712i
$277$	−5.13733	+	8.89811i	−0.308672	+	0.534636i	−0.978072	−	0.208266i	$-0.933218\pi$
$277$	−5.13733	+	8.89811i	−0.308672	+	0.534636i	0.669400	+	0.742902i	$0.266551\pi$
$278$	−18.3591	−	6.35415i	−1.10111	−	0.381097i
$279$	3.38310	−	5.26421i	0.202541	−	0.315160i
$280$	−0.628584	−	3.70994i	−0.0375651	−	0.221712i
$281$	9.62255	+	4.39447i	0.574033	+	0.262152i	0.681210	−	0.732088i	$-0.261454\pi$
$281$	9.62255	+	4.39447i	0.574033	+	0.262152i	−0.107177	+	0.994240i	$0.534181\pi$
$282$	−5.73407	+	4.50932i	−0.341459	+	0.268526i
$283$	−14.9750	+	14.2786i	−0.890172	+	0.848777i	−0.989240	−	0.146304i	$-0.953262\pi$
$283$	−14.9750	+	14.2786i	−0.890172	+	0.848777i	0.0990680	+	0.995081i	$0.468414\pi$
$284$	−0.602642	−	12.6510i	−0.0357602	−	0.750699i
$285$	4.92778	+	3.50906i	0.291897	+	0.207859i
$286$	−8.23286	+	2.41739i	−0.486819	+	0.142943i
$287$	8.19417	−	6.14993i	0.483687	−	0.363019i
$288$	−0.654861	+	0.755750i	−0.0385880	+	0.0445330i
$289$	18.7734	+	17.9004i	1.10432	+	1.05296i
$290$	10.8899	+	1.03986i	0.639478	+	0.0610628i
$291$	4.29203	−	0.204455i	0.251603	−	0.0119853i
$292$	7.08934	−	1.71986i	0.414872	−	0.100647i
$293$	0.917453	+	6.38102i	0.0535982	+	0.372783i	0.998913	+	0.0466229i	$0.0148459\pi$
$293$	0.917453	+	6.38102i	0.0535982	+	0.372783i	−0.945314	+	0.326161i	$0.894245\pi$
$294$	4.59712	+	5.27887i	0.268109	+	0.307870i
$295$	5.21358	+	0.749600i	0.303546	+	0.0436434i
$296$	−11.2173	−	0.534344i	−0.651990	−	0.0310581i
$297$	−4.86247	+	0.937165i	−0.282149	+	0.0543798i
$298$	13.6303	+	7.86944i	0.789580	+	0.455864i
$299$	−2.37857	−	7.96221i	−0.137556	−	0.460466i
$300$		−	2.97731i		−	0.171895i
$301$	3.13382	+	5.72230i	0.180630	+	0.329828i
$302$	13.4379	+	8.63599i	0.773262	+	0.496945i
$303$	4.39126	−	1.75800i	0.252271	−	0.100994i
$304$	−2.46733	−	3.46487i	−0.141511	−	0.198724i
$305$	−6.25291	−	2.50329i	−0.358041	−	0.143338i
$306$	1.54489	+	6.36812i	0.0883154	+	0.364041i
$307$	16.7448	+	26.0554i	0.955674	+	1.48706i	0.871375	+	0.490617i	$0.163229\pi$
$307$	16.7448	+	26.0554i	0.955674	+	1.48706i	0.0842984	+	0.996441i	$0.473135\pi$
$308$	−9.68367	+	8.82497i	−0.551778	+	0.502849i
$309$	−2.25156	−	7.66812i	−0.128087	−	0.436224i
$310$	−1.68426	+	8.73877i	−0.0956595	+	0.496329i
$311$	−1.64159	+	0.568161i	−0.0930863	+	0.0322175i	−0.373214	−	0.927745i	$-0.621744\pi$
$311$	−1.64159	+	0.568161i	−0.0930863	+	0.0322175i	0.280128	+	0.959963i	$0.409623\pi$
$312$	−0.408507	+	1.68389i	−0.0231272	+	0.0953315i
$313$	7.16846	−	10.0667i	0.405185	−	0.569003i	−0.560685	−	0.828029i	$-0.689462\pi$
$313$	7.16846	−	10.0667i	0.405185	−	0.569003i	0.965870	+	0.259026i	$0.0834016\pi$
$314$	−9.92726	+	6.37986i	−0.560228	+	0.360037i
$315$	−1.96240	−	3.21057i	−0.110569	−	0.180895i
$316$	−1.53580	+	0.220815i	−0.0863954	+	0.0124218i
$317$	6.42053	−	0.613086i	0.360613	−	0.0344343i	0.0868226	−	0.996224i	$-0.472329\pi$
$317$	6.42053	−	0.613086i	0.360613	−	0.0344343i	0.273790	+	0.961789i	$0.411723\pi$
$318$	7.05917	+	5.55139i	0.395858	+	0.311306i
$319$	−17.4538	−	33.8556i	−0.977223	−	1.89555i
$320$	0.465160	−	1.34399i	0.0260032	−	0.0751314i
$321$	1.81008			0.101029
$322$	−8.59065	−	9.33813i	−0.478738	−	0.520394i
$323$	−27.8731			−1.55090
$324$	−0.327068	+	0.945001i	−0.0181704	+	0.0525000i
$325$	−2.36394	−	4.58540i	−0.131128	−	0.254352i
$326$	−10.9696	−	8.62660i	−0.607551	−	0.477783i
$327$	−12.3626	+	1.18049i	−0.683656	+	0.0652812i
$328$	3.83294	−	0.551094i	0.211639	−	0.0304291i
$329$	0.483198	+	19.2941i	0.0266396	+	1.06372i
$330$	5.92473	−	3.80759i	0.326146	−	0.209601i
$331$	−8.63359	+	12.1242i	−0.474545	+	0.666405i	−0.980583	−	0.196106i	$-0.937170\pi$
$331$	−8.63359	+	12.1242i	−0.474545	+	0.666405i	0.506038	+	0.862511i	$0.331110\pi$
$332$	3.58608	−	14.7820i	0.196812	−	0.811268i
$333$	−10.6123	+	3.67297i	−0.581553	+	0.201277i
$334$	−4.48739	+	23.2828i	−0.245539	+	1.27398i
$335$	−4.13929	−	14.0971i	−0.226153	−	0.770208i
$336$	0.565597	+	2.58459i	0.0308558	+	0.141001i
$337$	−0.746259	−	1.16120i	−0.0406513	−	0.0632547i	0.820333	−	0.571886i	$-0.193788\pi$
$337$	−0.746259	−	1.16120i	−0.0406513	−	0.0632547i	−0.860984	+	0.508631i	$0.830152\pi$
$338$	−2.35703	−	9.71582i	−0.128206	−	0.528471i
$339$	−5.33491	−	2.13578i	−0.289753	−	0.116000i
$340$	−5.40585	−	7.59145i	−0.293173	−	0.411704i
$341$	28.7676	−	11.5168i	1.55785	−	0.623670i
$342$	−3.57835	−	2.29967i	−0.193495	−	0.124352i
$343$	18.4680	−	1.38986i	0.997180	−	0.0750453i
$344$			2.46592i			0.132954i
$345$	3.71443	+	5.72056i	0.199978	+	0.307984i
$346$	11.2556	+	6.49845i	0.605107	+	0.349359i
$347$	−21.8846	+	4.21791i	−1.17483	+	0.226429i	−0.739066	−	0.673633i	$-0.764733\pi$
$347$	−21.8846	+	4.21791i	−1.17483	+	0.226429i	−0.435761	+	0.900062i	$0.643521\pi$
$348$	−7.68315	−	0.365994i	−0.411860	−	0.0196193i
$349$	30.4767	+	4.38189i	1.63138	+	0.234557i	0.896308	−	0.443432i	$-0.146239\pi$
$349$	30.4767	+	4.38189i	1.63138	+	0.234557i	0.735072	+	0.677989i	$0.237148\pi$
$350$	−6.31189	−	4.71284i	−0.337385	−	0.251912i
$351$	0.246594	+	1.71510i	0.0131622	+	0.0915451i
$352$	−4.81237	+	1.16747i	−0.256500	+	0.0622263i
$353$	8.28415	−	0.394623i	0.440921	−	0.0210036i	0.174052	−	0.984737i	$-0.444314\pi$
$353$	8.28415	−	0.394623i	0.440921	−	0.0210036i	0.266869	+	0.963733i	$0.414011\pi$
$354$	−3.68675	−	0.352042i	−0.195949	−	0.0187108i
$355$	13.0365	+	12.4303i	0.691904	+	0.659730i
$356$	4.24350	−	4.89726i	0.224905	−	0.259554i
$357$	15.9458	+	6.80503i	0.843942	+	0.360160i
$358$	11.7028	−	3.43626i	0.618513	−	0.181612i
$359$	24.8967	+	17.7289i	1.31400	+	0.935695i	0.999906	−	0.0136968i	$-0.00435995\pi$
$359$	24.8967	+	17.7289i	1.31400	+	0.935695i	0.314094	+	0.949392i	$0.398299\pi$
$360$	−0.0676715	−	1.42060i	−0.00356660	−	0.0748722i
$361$	−0.656398	+	0.625874i	−0.0345472	+	0.0329407i
$362$	−9.13207	+	7.18154i	−0.479971	+	0.377453i
$363$	−12.3000	−	5.61721i	−0.645582	−	0.294827i
$364$	2.92321	+	3.53149i	0.153218	+	0.185100i
$365$	−5.60915	+	8.72801i	−0.293596	+	0.456845i
$366$	4.47538	+	1.54894i	0.233932	+	0.0809646i
$367$	14.2468	−	24.6761i	0.743675	−	1.28808i	−0.207136	−	0.978312i	$-0.566414\pi$
$367$	14.2468	−	24.6761i	0.743675	−	1.28808i	0.950811	−	0.309771i	$-0.100252\pi$
$368$	−1.15252	−	4.65529i	−0.0600794	−	0.242674i
$369$	3.35356	−	1.93618i	0.174579	−	0.100793i
$370$	12.0704	−	10.4590i	0.627509	−	0.543740i
$371$	22.9430	−	6.17802i	1.19114	−	0.320747i
$372$	0.890546	−	6.19388i	0.0461727	−	0.321138i
$373$	−2.81159	−	29.4443i	−0.145579	−	1.52457i	−0.713014	−	0.701150i	$-0.752670\pi$
$373$	−2.81159	−	29.4443i	−0.145579	−	1.52457i	0.567435	−	0.823418i	$-0.307936\pi$
$374$	−12.0602	+	30.1250i	−0.623619	+	1.55772i
$375$	7.82924	+	8.21107i	0.404300	+	0.424018i
$376$	−3.34265	+	6.48384i	−0.172384	+	0.334379i
$377$	−12.1235	+	5.53663i	−0.624393	+	0.285151i
$378$	1.48568	+	2.18924i	0.0764150	+	0.112602i
$379$	7.87000	+	6.81939i	0.404255	+	0.350289i	0.833132	−	0.553074i	$-0.186545\pi$
$379$	7.87000	+	6.81939i	0.404255	+	0.350289i	−0.428877	+	0.903363i	$0.641091\pi$
$380$	5.94018	+	1.14488i	0.304725	+	0.0587309i
$381$	−1.12653	−	0.273294i	−0.0577140	−	0.0140013i
$382$	2.24172	−	23.4764i	0.114696	−	1.20116i
$383$	24.8252	+	12.7983i	1.26851	+	0.653961i	0.955276	−	0.295716i	$-0.0955581\pi$
$383$	24.8252	+	12.7983i	1.26851	+	0.653961i	0.313232	+	0.949677i	$0.398588\pi$
$384$	−0.281733	+	0.959493i	−0.0143771	+	0.0489639i
$385$	1.30626	−	18.5875i	0.0665734	−	0.947306i
$386$	−6.81334	+	14.9191i	−0.346790	+	0.759364i
$387$	0.916492	+	2.28929i	0.0465879	+	0.116371i
$388$	3.81923	−	1.96895i	0.193892	−	0.0999584i
$389$	−0.667462	−	3.46312i	−0.0338417	−	0.175587i	0.961075	−	0.276287i	$-0.0891040\pi$
$389$	−0.667462	−	3.46312i	−0.0338417	−	0.175587i	−0.994917	+	0.100700i	$0.967892\pi$
$390$	−1.23216	−	2.13416i	−0.0623927	−	0.108067i
$391$	−29.2296	−	11.5429i	−1.47821	−	0.583750i
$392$	6.37461	+	2.89212i	0.321966	+	0.146074i
$393$	10.6714	+	12.3154i	0.538299	+	0.621230i
$394$	0.164536	−	3.45403i	0.00828920	−	0.174012i
$395$	1.36409	−	1.73458i	0.0686346	−	0.0872760i
$396$	−4.03375	+	2.87242i	−0.202704	+	0.144345i
$397$	−6.36335	−	8.09166i	−0.319367	−	0.406109i	0.599690	−	0.800232i	$-0.295291\pi$
$397$	−6.36335	−	8.09166i	−0.319367	−	0.406109i	−0.919057	+	0.394124i	$0.871048\pi$
$398$	−4.86252	−	1.42777i	−0.243736	−	0.0715674i
$399$	−10.5395	+	3.94591i	−0.527635	+	0.197543i
$400$	−1.23682	−	2.70826i	−0.0618411	−	0.135413i
$401$	20.0630	−	21.0415i	1.00190	−	1.05076i	0.00318988	−	0.999995i	$-0.498985\pi$
$401$	20.0630	−	21.0415i	1.00190	−	1.05076i	0.998710	−	0.0507679i	$-0.0161669\pi$
$402$	3.37880	+	9.76240i	0.168519	+	0.486904i
$403$	−3.54630	−	10.2464i	−0.176654	−	0.510408i
$404$	3.26413	−	3.42332i	0.162397	−	0.170317i
$405$	−0.590808	−	1.29369i	−0.0293575	−	0.0642839i
$406$	−12.9377	+	15.7089i	−0.642086	+	0.779620i
$407$	−53.3578	−	15.6673i	−2.64485	−	0.776598i
$408$	4.05069	+	5.15087i	0.200539	+	0.255006i
$409$	5.75643	−	4.09914i	0.284637	−	0.202689i	−0.428817	−	0.903392i	$-0.641069\pi$
$409$	5.75643	−	4.09914i	0.284637	−	0.202689i	0.713454	+	0.700702i	$0.247130\pi$
$410$	−3.40440	+	4.32904i	−0.168131	+	0.213796i
$411$	−0.365945	+	7.68214i	−0.0180507	+	0.378932i
$412$	−5.23354	−	6.03983i	−0.257838	−	0.297561i
$413$	−6.58214	+	7.25864i	−0.323886	+	0.357175i
$414$	−2.80016	−	3.89347i	−0.137620	−	0.191354i
$415$	10.8165	+	18.7347i	0.530960	+	0.919649i
$416$	0.327922	+	1.70142i	0.0160777	+	0.0834190i
$417$	−17.2680	+	8.90225i	−0.845616	+	0.435945i
$418$	−7.82856	−	19.5548i	−0.382907	−	0.956456i
$419$	3.61057	−	7.90605i	0.176388	−	0.386236i	−0.800702	−	0.599063i	$-0.795540\pi$
$419$	3.61057	−	7.90605i	0.176388	−	0.386236i	0.977090	+	0.212827i	$0.0682672\pi$
$420$	−3.11879	−	2.10523i	−0.152181	−	0.102725i
$421$	3.57177	−	12.1643i	0.174077	−	0.592853i	−0.825517	−	0.564377i	$-0.809116\pi$
$421$	3.57177	−	12.1643i	0.174077	−	0.592853i	0.999594	−	0.0284761i	$-0.00906546\pi$
$422$	2.40661	+	1.24069i	0.117152	+	0.0603961i
$423$	−0.693411	+	7.26173i	−0.0337148	+	0.353077i
$424$	8.72737	+	2.11724i	0.423839	+	0.102822i
$425$	−19.1573	−	3.69226i	−0.929264	−	0.179101i
$426$	−9.57183	−	8.29404i	−0.463757	−	0.401848i
$427$	10.3679	−	7.03594i	0.501738	−	0.340493i
$428$	1.64651	−	0.751934i	0.0795869	−	0.0363461i
$429$	−3.93178	+	7.62659i	−0.189828	+	0.368215i
$430$	−2.42015	−	2.53818i	−0.116710	−	0.122402i
$431$	14.5951	−	36.4568i	0.703022	−	1.75606i	0.0499712	−	0.998751i	$-0.484087\pi$
$431$	14.5951	−	36.4568i	0.703022	−	1.75606i	0.653051	−	0.757314i	$-0.273489\pi$
$432$	0.0950560	+	0.995472i	0.00457339	+	0.0478947i
$433$	−1.83318	+	12.7500i	−0.0880968	+	0.612727i	0.897168	+	0.441690i	$0.145621\pi$
$433$	−1.83318	+	12.7500i	−0.0880968	+	0.612727i	−0.985265	+	0.171037i	$0.945288\pi$
$434$	−11.7213	−	11.6923i	−0.562643	−	0.561250i
$435$	8.26749	−	7.16382i	0.396396	−	0.343479i
$436$	−10.7551	+	6.20944i	−0.515074	+	0.297378i
$437$	18.9025	−	7.67054i	0.904227	−	0.366932i
$438$	3.64749	−	6.31764i	0.174284	−	0.301868i
$439$	19.7262	+	6.82730i	0.941480	+	0.325849i	0.754340	−	0.656484i	$-0.227957\pi$
$439$	19.7262	+	6.82730i	0.941480	+	0.325849i	0.187140	+	0.982333i	$0.440078\pi$
$440$	3.80759	−	5.92473i	0.181520	−	0.282450i
$441$	6.99288	+	0.315750i	0.332994	+	0.0150357i
$442$	10.3282	+	4.71675i	0.491264	+	0.224353i
$443$	16.4411	−	12.9294i	0.781139	−	0.614294i	−0.145883	−	0.989302i	$-0.546602\pi$
$443$	16.4411	−	12.9294i	0.781139	−	0.614294i	0.927022	+	0.375007i	$0.122360\pi$
$444$	−8.12752	+	7.74957i	−0.385715	+	0.367778i
$445$	0.438512	+	9.20549i	0.0207874	+	0.436382i
$446$	−3.56474	−	2.53844i	−0.168795	−	0.120199i
$447$	15.1013	−	4.43415i	0.714269	−	0.209728i
$448$	1.58816	+	2.11607i	0.0750336	+	0.0999748i
$449$	5.67913	−	6.55406i	0.268015	−	0.309305i	−0.605749	−	0.795655i	$-0.707127\pi$
$449$	5.67913	−	6.55406i	0.268015	−	0.309305i	0.873764	+	0.486350i	$0.161672\pi$
$450$	−2.15478	−	2.05458i	−0.101577	−	0.0968539i
$451$	19.0889	+	1.82277i	0.898864	+	0.0858311i
$452$	−5.74004	+	0.273432i	−0.269989	+	0.0128612i
$453$	15.5233	−	3.76592i	0.729350	−	0.176938i
$454$	1.03199	+	7.17765i	0.0484337	+	0.336864i
$455$	−6.47480	−	0.766024i	−0.303543	−	0.0359117i
$456$	−4.21030	−	0.605349i	−0.197165	−	0.0283481i
$457$	−26.5806	−	1.26619i	−1.24339	−	0.0592299i	−0.584452	−	0.811428i	$-0.698690\pi$
$457$	−26.5806	−	1.26619i	−1.24339	−	0.0592299i	−0.658936	+	0.752199i	$0.728993\pi$
$458$	−0.664099	+	0.127995i	−0.0310313	+	0.00598079i
$459$	5.67492	+	3.27642i	0.264883	+	0.152930i
$460$	5.75517	+	3.66057i	0.268336	+	0.170675i
$461$			2.65026i			0.123435i	0.998094	+	0.0617174i	$0.0196577\pi$
$461$			2.65026i			0.123435i	−0.998094	+	0.0617174i	$0.980342\pi$
$462$	−0.295565	+	13.0983i	−0.0137509	+	0.609389i
$463$	11.3777	+	7.31200i	0.528767	+	0.339818i	0.777631	−	0.628721i	$-0.216421\pi$
$463$	11.3777	+	7.31200i	0.528767	+	0.339818i	−0.248865	+	0.968538i	$0.580057\pi$
$464$	−7.14088	+	2.85878i	−0.331507	+	0.132715i
$465$	5.16227	+	7.24940i	0.239395	+	0.336183i
$466$	12.1800	+	4.87615i	0.564229	+	0.225883i
$467$	−4.29643	−	17.7101i	−0.198815	−	0.819527i	−0.980607	−	0.195987i	$-0.937209\pi$
$467$	−4.29643	−	17.7101i	−0.198815	−	0.819527i	0.781792	−	0.623540i	$-0.214306\pi$
$468$	0.936786	+	1.45767i	0.0433030	+	0.0673807i
$469$	26.0446	+	8.29001i	1.20263	+	0.382797i
$470$	−2.92289	−	9.95444i	−0.134823	−	0.459164i
$471$	−2.23327	+	11.5873i	−0.102904	+	0.533915i
$472$	−3.49983	+	1.21130i	−0.161093	+	0.0557548i
$473$	−2.87889	+	11.8670i	−0.132372	+	0.545643i
$474$	−0.900012	+	1.26389i	−0.0413389	+	0.0580524i
$475$	10.6539	−	6.84683i	0.488833	−	0.314154i
$476$	17.3317	−	0.434054i	0.794399	−	0.0198948i
$477$	8.88911	−	1.27806i	0.407005	−	0.0585184i
$478$	−6.92681	+	0.661430i	−0.316825	+	0.0302531i
$479$	−6.31558	−	4.96662i	−0.288566	−	0.226931i	0.463373	−	0.886163i	$-0.346639\pi$
$479$	−6.31558	−	4.96662i	−0.288566	−	0.226931i	−0.751939	+	0.659232i	$0.770881\pi$
$480$	−0.651695	−	1.26411i	−0.0297457	−	0.0576986i
$481$	−6.36427	+	18.3883i	−0.290186	+	0.838437i
$482$	−13.9002			−0.633136
$483$	−12.6866	−	0.226702i	−0.577258	−	0.0103153i
$484$	−13.5219			−0.614633
$485$	−1.99874	+	5.77499i	−0.0907583	+	0.262229i
$486$	0.458227	+	0.888835i	0.0207856	+	0.0403184i
$487$	6.52246	+	5.12932i	0.295561	+	0.232432i	0.754917	−	0.655821i	$-0.227677\pi$
$487$	6.52246	+	5.12932i	0.295561	+	0.232432i	−0.459356	+	0.888252i	$0.651920\pi$
$488$	4.71440	−	0.450171i	0.213411	−	0.0203783i
$489$	−13.8133	+	1.98605i	−0.624657	+	0.0898122i
$490$	−9.39984	+	3.27942i	−0.424642	+	0.148149i
$491$	26.8484	−	17.2544i	1.21165	−	0.778681i	0.230717	−	0.973021i	$-0.425893\pi$
$491$	26.8484	−	17.2544i	1.21165	−	0.778681i	0.980934	+	0.194340i	$0.0622564\pi$
$492$	2.24619	−	3.15433i	0.101266	−	0.142208i
$493$	−11.8831	+	48.9827i	−0.535187	+	2.20607i
$494$	−6.96498	+	2.41060i	−0.313369	+	0.108458i
$495$	1.33285	−	6.91547i	0.0599070	−	0.310827i
$496$	−1.76296	−	6.00410i	−0.0791594	−	0.269592i
$497$	−32.7347	+	7.16348i	−1.46835	+	0.321326i
$498$	−8.22357	−	12.7961i	−0.368507	−	0.573408i
$499$	7.71016	+	31.7817i	0.345154	+	1.42274i	0.834670	+	0.550750i	$0.185658\pi$
$499$	7.71016	+	31.7817i	0.345154	+	1.42274i	−0.489516	+	0.871994i	$0.662827\pi$
$500$	10.5327	+	4.21667i	0.471038	+	0.188575i
$501$	13.7539	+	19.3147i	0.614479	+	0.862915i
$502$	−14.9007	+	5.96536i	−0.665053	+	0.266247i
$503$	26.6594	+	17.1330i	1.18869	+	0.763922i	0.976963	−	0.213408i	$-0.0684564\pi$
$503$	26.6594	+	17.1330i	1.18869	+	0.763922i	0.211722	+	0.977330i	$0.432093\pi$
$504$	2.26086	+	1.37423i	0.100707	+	0.0612130i
$505$			6.72718i			0.299356i
$506$	−0.111469	−	23.7485i	−0.00495538	−	1.05575i
$507$	−8.65821	−	4.99882i	−0.384524	−	0.222005i
$508$	−1.13826	+	0.219382i	−0.0505021	+	0.00973349i
$509$	16.4288	+	0.782601i	0.728194	+	0.0346882i	0.408405	−	0.912801i	$-0.366085\pi$
$509$	16.4288	+	0.782601i	0.728194	+	0.0346882i	0.319789	+	0.947489i	$0.396388\pi$
$510$	−9.22465	−	1.32630i	−0.408475	−	0.0587298i
$511$	−7.61969	−	17.7329i	−0.337075	−	0.784459i
$512$	0.142315	+	0.989821i	0.00628949	+	0.0437443i
$513$	−4.13369	+	1.00282i	−0.182507	+	0.0442757i
$514$	20.5789	−	0.980292i	0.907694	−	0.0432388i
$515$	11.3146	+	1.08042i	0.498582	+	0.0476088i
$516$	1.78467	+	1.70168i	0.0785659	+	0.0749124i
$517$	−23.6558	+	27.3002i	−1.04038	+	1.20066i
$518$	3.56389	+	29.4972i	0.156588	+	1.29603i
$519$	12.4704	−	3.66165i	0.547391	−	0.160728i
$520$	−2.00737	−	1.42944i	−0.0880290	−	0.0626852i
$521$	−0.269289	−	5.65307i	−0.0117978	−	0.247665i	−0.997061	−	0.0766178i	$-0.975588\pi$
$521$	−0.269289	−	5.65307i	−0.0117978	−	0.247665i	0.985263	−	0.171047i	$-0.0547152\pi$
$522$	−5.56686	+	5.30799i	−0.243655	+	0.232325i
$523$	−29.0169	+	22.8191i	−1.26882	+	0.997811i	−0.269426	+	0.963021i	$0.586834\pi$
$523$	−29.0169	+	22.8191i	−1.26882	+	0.997811i	−0.999395	+	0.0347903i	$0.988924\pi$
$524$	14.8230	+	6.76945i	0.647547	+	0.295725i
$525$	−7.76654	+	1.31590i	−0.338960	+	0.0574307i
$526$	14.8652	−	23.1307i	0.648154	−	1.00855i
$527$	−38.7496	−	13.4114i	−1.68796	−	0.584209i
$528$	−2.47598	+	4.28853i	−0.107753	+	0.186634i
$529$	22.9990	−	0.215906i	0.999956	−	0.00938721i
$530$	−11.0611	+	6.38610i	−0.480461	+	0.277394i
$531$	−2.79894	+	2.42529i	−0.121463	+	0.105249i
$532$	−7.94788	+	7.96759i	−0.344584	+	0.345439i
$533$	0.954899	−	6.64147i	0.0413613	−	0.287674i
$534$	−0.615963	−	6.45066i	−0.0266553	−	0.279147i
$535$	−0.956776	+	2.38991i	−0.0413650	+	0.103325i
$536$	7.12891	+	7.47659i	0.307922	+	0.322939i
$537$	5.58893	−	10.8410i	0.241180	−	0.467824i
$538$	−9.58604	+	4.37780i	−0.413283	+	0.188740i
$539$	27.3005	+	21.3601i	1.17592	+	0.920046i
$540$	−1.07484	−	0.931350i	−0.0462536	−	0.0400789i
$541$	−15.4786	−	2.98326i	−0.665478	−	0.128260i	−0.154685	−	0.987964i	$-0.549436\pi$
$541$	−15.4786	−	2.98326i	−0.665478	−	0.128260i	−0.510793	+	0.859704i	$0.670648\pi$
$542$	29.9775	+	7.27245i	1.28764	+	0.312379i
$543$	−1.10433	+	11.5650i	−0.0473912	+	0.496303i
$544$	5.82439	+	3.00268i	0.249719	+	0.128739i
$545$	4.97604	−	16.9468i	0.213150	−	0.725922i
$546$	4.57310	+	0.321382i	0.195711	+	0.0137539i
$547$	10.5430	−	23.0860i	0.450786	−	0.987084i	−0.538706	−	0.842494i	$-0.681086\pi$
$547$	10.5430	−	23.0860i	0.450786	−	0.987084i	0.989492	−	0.144590i	$-0.0461863\pi$
$548$	2.85840	+	7.13994i	0.122105	+	0.305003i
$549$	4.20939	−	2.17009i	0.179652	−	0.0926172i
$550$	−2.79024	−	14.4771i	−0.118976	−	0.617306i
$551$	−16.3590	−	28.3347i	−0.696918	−	1.20710i
$552$	−4.16452	−	2.37840i	−0.177254	−	0.101231i
$553$	1.25480	+	3.90865i	0.0533594	+	0.166213i
$554$	6.72847	+	7.76506i	0.285865	+	0.329906i
$555$	0.759950	−	15.9533i	0.0322581	−	0.677181i
$556$	−12.0094	+	15.2711i	−0.509310	+	0.647641i
$557$	13.6302	−	9.70605i	0.577532	−	0.411258i	−0.253620	−	0.967304i	$-0.581621\pi$
$557$	13.6302	−	9.70605i	0.577532	−	0.411258i	0.831152	+	0.556045i	$0.187682\pi$
$558$	−3.86818	−	4.91879i	−0.163753	−	0.208229i
$559$	4.09971	+	1.20378i	0.173399	+	0.0509146i
$560$	−3.71149	−	0.619391i	−0.156839	−	0.0261741i
$561$	13.4800	+	29.5170i	0.569124	+	1.24621i
$562$	7.30001	−	7.65603i	0.307932	−	0.322950i
$563$	9.51941	+	27.5045i	0.401195	+	1.15918i	0.946991	+	0.321260i	$0.104106\pi$
$563$	9.51941	+	27.5045i	0.401195	+	1.15918i	−0.545796	+	0.837918i	$0.683773\pi$
$564$	2.38588	+	6.89355i	0.100464	+	0.290271i
$565$	5.63989	−	5.91494i	0.237272	−	0.248844i
$566$	8.59548	+	18.8215i	0.361295	+	0.791126i
$567$	2.60966	+	0.435513i	0.109595	+	0.0182898i
$568$	−12.1523	−	3.56824i	−0.509900	−	0.149720i
$569$	20.0717	+	25.5233i	0.841451	+	1.06999i	0.996624	+	0.0821048i	$0.0261642\pi$
$569$	20.0717	+	25.5233i	0.841451	+	1.06999i	−0.155173	+	0.987887i	$0.549593\pi$
$570$	4.92778	−	3.50906i	0.206402	−	0.146978i
$571$	−17.4385	+	22.1748i	−0.729778	+	0.927988i	−0.999388	−	0.0349814i	$-0.988863\pi$
$571$	−17.4385	+	22.1748i	−0.729778	+	0.927988i	0.269610	+	0.962970i	$0.413105\pi$
$572$	−0.408273	+	8.57071i	−0.0170708	+	0.358359i
$573$	−15.4437	−	17.8230i	−0.645169	−	0.744565i
$574$	−3.13164	−	9.75495i	−0.130712	−	0.407164i
$575$	14.0078	−	2.76804i	0.584167	−	0.115435i
$576$	0.500000	+	0.866025i	0.0208333	+	0.0360844i
$577$	3.91349	+	20.3051i	0.162921	+	0.845313i	0.967770	+	0.251834i	$0.0810338\pi$
$577$	3.91349	+	20.3051i	0.162921	+	0.845313i	−0.804850	+	0.593479i	$0.797754\pi$
$578$	23.0560	−	11.8862i	0.959005	−	0.494401i
$579$	6.09574	+	15.2264i	0.253330	+	0.632789i
$580$	4.54441	−	9.95088i	0.188697	−	0.413188i
$581$	−40.1449	−	2.82124i	−1.66549	−	0.117045i
$582$	1.21058	−	4.12284i	0.0501800	−	0.170897i
$583$	39.5276	+	20.3779i	1.63707	+	0.843966i
$584$	0.693432	−	7.26194i	0.0286944	−	0.300501i
$585$	−2.39485	−	0.580984i	−0.0990148	−	0.0240207i
$586$	6.33014	+	1.22004i	0.261496	+	0.0503992i
$587$	−0.138543	−	0.120049i	−0.00571830	−	0.00495493i	0.651997	−	0.758222i	$-0.273932\pi$
$587$	−0.138543	−	0.120049i	−0.00571830	−	0.00495493i	−0.657715	+	0.753267i	$0.728477\pi$
$588$	6.49211	−	2.61773i	0.267730	−	0.107953i
$589$	24.2118	−	11.0572i	0.997631	−	0.455603i
$590$	2.41357	−	4.68167i	0.0993650	−	0.192741i
$591$	−2.38626	−	2.50264i	−0.0981576	−	0.102945i
$592$	−4.17376	+	10.4256i	−0.171541	+	0.428488i
$593$	−1.40269	−	14.6897i	−0.0576017	−	0.603233i	−0.977480	−	0.211029i	$-0.932319\pi$
$593$	−1.40269	−	14.6897i	−0.0576017	−	0.603233i	0.919878	−	0.392204i	$-0.128287\pi$
$594$	−0.704738	+	4.90156i	−0.0289157	+	0.201113i
$595$	−17.4136	+	17.4568i	−0.713888	+	0.715659i
$596$	11.8946	−	10.3068i	0.487224	−	0.422182i
$597$	−4.38885	+	2.53390i	−0.179624	+	0.103706i
$598$	−8.30225	−	0.356437i	−0.339504	−	0.0145758i
$599$	−0.195375	+	0.338400i	−0.00798281	+	0.0138266i	−0.869989	−	0.493071i	$-0.835874\pi$
$599$	−0.195375	+	0.338400i	−0.00798281	+	0.0138266i	0.862006	+	0.506897i	$0.169208\pi$
$600$	−2.81356	−	0.973784i	−0.114863	−	0.0397546i
$601$	18.5606	−	28.8809i	0.757103	−	1.17808i	−0.222067	−	0.975031i	$-0.571280\pi$
$601$	18.5606	−	28.8809i	0.757103	−	1.17808i	0.979170	−	0.203044i	$-0.0650834\pi$
$602$	6.43255	−	1.08988i	0.262171	−	0.0444202i
$603$	9.39702	+	4.29147i	0.382676	+	0.174762i
$604$	12.5561	−	9.87423i	0.510901	−	0.401777i
$605$	13.9182	−	13.2709i	0.565854	−	0.539541i
$606$	−0.225067	−	4.72473i	−0.00914270	−	0.191929i
$607$	−23.5646	−	16.7803i	−0.956456	−	0.681090i	−0.00865898	−	0.999963i	$-0.502756\pi$
$607$	−23.5646	−	16.7803i	−0.956456	−	0.681090i	−0.947797	+	0.318873i	$0.896696\pi$
$608$	−4.08129	+	1.19838i	−0.165518	+	0.0486005i
$609$	2.44105	+	20.2038i	0.0989164	+	0.818700i
$610$	−4.41073	+	5.09026i	−0.178585	+	0.206099i
$611$	9.14790	+	8.72251i	0.370085	+	0.352875i
$612$	6.52316	+	0.622886i	0.263683	+	0.0251787i
$613$	23.6810	−	1.12807i	0.956467	−	0.0455621i	0.436459	−	0.899724i	$-0.356232\pi$
$613$	23.6810	−	1.12807i	0.956467	−	0.0455621i	0.520007	+	0.854162i	$0.325929\pi$
$614$	30.0990	−	7.30194i	1.21470	−	0.294682i
$615$	0.783773	+	5.45126i	0.0316048	+	0.219816i
$616$	5.17239	+	12.0374i	0.208401	+	0.485002i
$617$	17.6577	+	2.53879i	0.710872	+	0.102208i	0.488259	−	0.872699i	$-0.337632\pi$
$617$	17.6577	+	2.53879i	0.710872	+	0.102208i	0.222613	+	0.974907i	$0.428541\pi$
$618$	−7.98279	−	0.380267i	−0.321115	−	0.0152966i
$619$	−15.8332	+	3.05160i	−0.636390	+	0.122654i	−0.497234	−	0.867616i	$-0.665651\pi$
$619$	−15.8332	+	3.05160i	−0.636390	+	0.122654i	−0.139156	+	0.990270i	$0.544439\pi$
$620$	7.70728	+	4.44980i	0.309532	+	0.178708i
$621$	−4.75017	−	0.660230i	−0.190618	−	0.0264941i
$622$			1.73713i			0.0696528i
$623$	−14.6504	−	8.90500i	−0.586955	−	0.356771i
$624$	1.45767	+	0.936786i	0.0583534	+	0.0375015i
$625$	−1.15956	+	0.464216i	−0.0463823	+	0.0185687i
$626$	−7.16846	−	10.0667i	−0.286509	−	0.402346i
$627$	−19.5548	−	7.82856i	−0.780943	−	0.312643i
$628$	2.78209	+	11.4679i	0.111017	+	0.457620i
$629$	39.7848	+	61.9063i	1.58632	+	2.46837i
$630$	−3.67583	+	0.804398i	−0.146449	+	0.0320480i
$631$	−5.99191	−	20.4066i	−0.238534	−	0.812373i	−0.988542	−	0.150944i	$-0.951769\pi$
$631$	−5.99191	−	20.4066i	−0.238534	−	0.812373i	0.750008	−	0.661429i	$-0.230050\pi$
$632$	−0.293641	+	1.52355i	−0.0116804	+	0.0606037i
$633$	2.55868	−	0.885569i	0.101699	−	0.0351982i
$634$	1.52058	−	6.26792i	0.0603900	−	0.248931i
$635$	0.956305	−	1.34294i	0.0379498	−	0.0532931i
$636$	7.55490	−	4.85524i	0.299571	−	0.192523i
$637$	7.92016	−	9.18623i	0.313808	−	0.363972i
$638$	−37.7021	+	5.42075i	−1.49264	+	0.214609i
$639$	−12.6080	+	1.20392i	−0.498765	+	0.0476263i
$640$	−1.11793	−	0.879153i	−0.0441902	−	0.0347516i
$641$	15.8388	+	30.7230i	0.625595	+	1.21349i	0.962330	+	0.271886i	$0.0876473\pi$
$641$	15.8388	+	30.7230i	0.625595	+	1.21349i	−0.336734	+	0.941600i	$0.609322\pi$
$642$	0.592019	−	1.71053i	0.0233651	−	0.0675091i
$643$	−25.6549			−1.01173			−0.505865	−	0.862612i	$-0.668827\pi$
$643$	−25.6549			−1.01173			−0.505865	+	0.862612i	$0.668827\pi$
$644$	−11.6343	+	5.06397i	−0.458454	+	0.199548i
$645$	−3.50707			−0.138091
$646$	−9.11639	+	26.3401i	−0.358679	+	1.03634i
$647$	−19.1908	−	37.2249i	−0.754467	−	1.46346i	−0.881811	−	0.471603i	$-0.843676\pi$
$647$	−19.1908	−	37.2249i	−0.754467	−	1.46346i	0.127344	−	0.991859i	$-0.459355\pi$
$648$	0.786053	+	0.618159i	0.0308791	+	0.0242836i
$649$	−18.2567	+	1.74330i	−0.716637	+	0.0684305i
$650$	−5.10638	+	0.734187i	−0.200289	+	0.0287972i
$651$	−16.5508	+	0.414496i	−0.648677	+	0.0162454i
$652$	−11.7400	+	7.54481i	−0.459772	+	0.295477i
$653$	−21.6453	+	30.3965i	−0.847045	+	1.18951i	0.133075	+	0.991106i	$0.457515\pi$
$653$	−21.6453	+	30.3965i	−0.847045	+	1.18951i	−0.980121	+	0.198403i	$0.936425\pi$
$654$	−2.92786	+	12.0688i	−0.114488	+	0.471928i
$655$	−21.9012	+	7.58007i	−0.855750	+	0.296178i
$656$	0.732849	−	3.80238i	0.0286129	−	0.148458i
$657$	−2.05523	−	6.99948i	−0.0801823	−	0.273076i
$658$	18.3910	+	5.85385i	0.716954	+	0.228207i
$659$	−4.77370	−	7.42803i	−0.185957	−	0.289355i	0.735741	−	0.677263i	$-0.236834\pi$
$659$	−4.77370	−	7.42803i	−0.185957	−	0.289355i	−0.921698	+	0.387908i	$0.873198\pi$
$660$	−1.66039	−	6.84421i	−0.0646305	−	0.266411i
$661$	−5.26464	−	2.10764i	−0.204771	−	0.0819779i	0.267010	−	0.963694i	$-0.413964\pi$
$661$	−5.26464	−	2.10764i	−0.204771	−	0.0819779i	−0.471781	+	0.881716i	$0.656389\pi$
$662$	8.63359	+	12.1242i	0.335554	+	0.471220i
$663$	10.5410	−	4.21997i	0.409378	−	0.163890i
$664$	−12.7961	−	8.22357i	−0.496586	−	0.319136i
$665$	0.361073	−	16.0014i	0.0140018	−	0.620508i
$666$			11.2300i			0.435153i
$667$	−5.42116	−	36.4884i	−0.209908	−	1.41284i
$668$	20.5346	+	11.8557i	0.794507	+	0.458709i
$669$	−4.29711	+	0.828199i	−0.166136	+	0.0320200i
$670$	−14.6756	−	0.699086i	−0.566968	−	0.0270080i
$671$	23.2130	+	3.33753i	0.896129	+	0.128844i
$672$	2.62743	+	0.310847i	0.101355	+	0.0119912i
$673$	3.81226	+	26.5149i	0.146952	+	1.02207i	0.921172	+	0.389156i	$0.127233\pi$
$673$	3.81226	+	26.5149i	0.146952	+	1.02207i	−0.774220	+	0.632917i	$0.781858\pi$
$674$	−1.34141	+	0.325424i	−0.0516693	+	0.0125348i
$675$	−2.97394	+	0.141666i	−0.114467	+	0.00545274i
$676$	−9.95237	−	0.950336i	−0.382783	−	0.0365514i
$677$	−11.1199	−	10.6028i	−0.427372	−	0.407498i	0.445628	−	0.895218i	$-0.352980\pi$
$677$	−11.1199	−	10.6028i	−0.427372	−	0.407498i	−0.873000	+	0.487720i	$0.837829\pi$
$678$	−3.76319	+	4.34295i	−0.144524	+	0.166790i
$679$	−6.82417	−	9.09252i	−0.261888	−	0.348939i
$680$	−8.94201	+	2.62561i	−0.342910	+	0.100688i
$681$	5.90686	+	4.20626i	0.226351	+	0.161184i
$682$	−1.47443	−	30.9522i	−0.0564590	−	1.18522i
$683$	13.3237	−	12.7042i	0.509819	−	0.486111i	−0.390949	−	0.920412i	$-0.627853\pi$
$683$	13.3237	−	12.7042i	0.509819	−	0.486111i	0.900768	+	0.434301i	$0.143005\pi$
$684$	−3.34355	+	2.62940i	−0.127844	+	0.100537i
$685$	−9.94957	−	4.54381i	−0.380153	−	0.173610i
$686$	4.72689	−	17.9069i	0.180473	−	0.683688i
$687$	−0.365647	+	0.568957i	−0.0139503	+	0.0217071i
$688$	2.33030	+	0.806525i	0.0888419	+	0.0307485i
$689$	7.78042	−	13.4761i	0.296410	−	0.513398i
$690$	6.62080	−	1.63913i	0.252050	−	0.0624007i
$691$	−0.732845	+	0.423108i	−0.0278787	+	0.0160958i	−0.513875	−	0.857865i	$-0.671790\pi$
$691$	−0.732845	+	0.423108i	−0.0278787	+	0.0160958i	0.485996	+	0.873961i	$0.338457\pi$
$692$	9.82240	−	8.51115i	0.373391	−	0.323546i
$693$	9.27574	+	9.25279i	0.352356	+	0.351484i
$694$	−3.17182	+	22.0605i	−0.120401	+	0.837406i
$695$	−2.62642	−	27.5051i	−0.0996257	−	1.04333i
$696$	−2.85878	+	7.14088i	−0.108362	+	0.270674i
$697$	−17.5107	−	18.3647i	−0.663265	−	0.695612i
$698$	14.1088	−	27.3673i	0.534028	−	1.03587i
$699$	11.9342	−	5.45017i	0.451394	−	0.206145i
$700$	−6.51805	+	4.42333i	−0.246359	+	0.167186i
$701$	−31.7421	−	27.5047i	−1.19888	−	1.03884i	−0.998248	−	0.0591730i	$-0.981154\pi$
$701$	−31.7421	−	27.5047i	−1.19888	−	1.03884i	−0.200636	−	0.979666i	$-0.564301\pi$
$702$	1.70142	+	0.327922i	0.0642160	+	0.0123766i
$703$	−46.4212	−	11.2617i	−1.75081	−	0.424742i
$704$	−0.470714	+	4.92954i	−0.0177407	+	0.185789i
$705$	−9.22139	−	4.75396i	−0.347298	−	0.179044i
$706$	2.33656	−	7.95759i	0.0879376	−	0.299488i
$707$	−10.3727	−	7.00170i	−0.390104	−	0.263326i
$708$	−1.53850	+	3.36884i	−0.0578203	+	0.126609i
$709$	−2.68166	−	6.69846i	−0.100712	−	0.251566i	0.869451	−	0.494018i	$-0.164472\pi$
$709$	−2.68166	−	6.69846i	−0.100712	−	0.251566i	−0.970163	+	0.242452i	$0.922048\pi$
$710$	16.0104	−	8.25394i	0.600860	−	0.309765i
$711$	0.293641	+	1.52355i	0.0110124	+	0.0571377i
$712$	−3.24000	−	5.61184i	−0.121424	−	0.210313i
$713$	29.9693	−	1.56863i	1.12236	−	0.0587456i
$714$	11.6461	−	12.8431i	0.435845	−	0.480641i
$715$	−7.99139	−	9.22255i	−0.298861	−	0.344904i
$716$	0.580350	−	12.1831i	0.0216887	−	0.455302i
$717$	−4.30135	+	5.46961i	−0.160637	+	0.204266i
$718$	24.8967	−	17.7289i	0.929138	−	0.661636i
$719$	18.0419	+	22.9422i	0.672851	+	0.855600i	0.995870	−	0.0907928i	$-0.0289401\pi$
$719$	18.0419	+	22.9422i	0.672851	+	0.855600i	−0.323019	+	0.946393i	$0.604698\pi$
$720$	−1.36460	−	0.400683i	−0.0508557	−	0.0149326i
$721$	−13.4422	+	16.3215i	−0.500615	+	0.607846i
$722$	0.376765	+	0.825000i	0.0140217	+	0.0307033i
$723$	−9.59222	+	10.0600i	−0.356739	+	0.374137i
$724$	3.79975	+	10.9787i	0.141217	+	0.408019i
$725$	−7.49021	−	21.6416i	−0.278180	−	0.803747i
$726$	−9.33120	+	9.78628i	−0.346313	+	0.363203i
$727$	0.997304	+	2.18379i	0.0369880	+	0.0809923i	0.927224	−	0.374507i	$-0.122188\pi$
$727$	0.997304	+	2.18379i	0.0369880	+	0.0809923i	−0.890236	+	0.455499i	$0.849461\pi$
$728$	4.29335	−	1.60740i	0.159122	−	0.0595741i
$729$	0.959493	+	0.281733i	0.0355368	+	0.0104345i
$730$	6.41340	+	8.15530i	0.237371	+	0.301841i
$731$	13.1626	−	9.37302i	0.486835	−	0.346674i
$732$	2.92751	−	3.72263i	0.108204	−	0.137592i
$733$	1.07665	−	22.6016i	0.0397669	−	0.834810i	−0.887590	−	0.460633i	$-0.847622\pi$
$733$	1.07665	−	22.6016i	0.0397669	−	0.834810i	0.927357	−	0.374177i	$-0.122075\pi$
$734$	−18.6593	−	21.5340i	−0.688727	−	0.794834i
$735$	−4.11321	+	9.06604i	−0.151718	+	0.334406i
$736$	−4.77620	−	0.433460i	−0.176053	−	0.0159775i
$737$	25.5783	+	44.3029i	0.942189	+	1.63192i
$738$	−0.732849	−	3.80238i	−0.0269765	−	0.139968i
$739$	−23.7970	+	12.2682i	−0.875385	+	0.451292i	−0.836510	−	0.547952i	$-0.815408\pi$
$739$	−23.7970	+	12.2682i	−0.875385	+	0.451292i	−0.0388752	+	0.999244i	$0.512377\pi$
$740$	−5.93597	−	14.8273i	−0.218211	−	0.545064i
$741$	−3.06175	+	6.70430i	−0.112476	+	0.246288i
$742$	1.66568	−	23.7018i	0.0611489	−	0.870119i
$743$	−14.5127	+	49.4256i	−0.532418	+	1.81325i	0.0478903	+	0.998853i	$0.484750\pi$
$743$	−14.5127	+	49.4256i	−0.532418	+	1.81325i	−0.580308	+	0.814397i	$0.697068\pi$
$744$	−5.56196	−	2.86739i	−0.203911	−	0.105124i
$745$	−2.12774	+	22.2827i	−0.0779542	+	0.816373i
$746$	−28.7445	−	6.97333i	−1.05241	−	0.255312i
$747$	−14.9359	−	2.87866i	−0.546476	−	0.105325i
$748$	24.5236	+	21.2498i	0.896672	+	0.776970i
$749$	−2.68919	−	3.96269i	−0.0982609	−	0.144794i
$750$	10.3202	−	4.71306i	0.376839	−	0.172097i
$751$	5.44349	−	10.5589i	0.198636	−	0.385300i	−0.768388	−	0.639984i	$-0.778941\pi$
$751$	5.44349	−	10.5589i	0.198636	−	0.385300i	0.967024	+	0.254684i	$0.0819714\pi$
$752$	5.03396	+	5.27947i	0.183570	+	0.192522i
$753$	−5.96536	+	14.9007i	−0.217390	+	0.543013i
$754$	1.26690	+	13.2676i	0.0461378	+	0.483177i
$755$	−3.23309	+	22.4866i	−0.117664	+	0.818372i
$756$	2.55475	−	0.687936i	0.0929153	−	0.0250200i
$757$	−20.0772	+	17.3970i	−0.729717	+	0.632303i	−0.938348	−	0.345691i	$-0.887644\pi$
$757$	−20.0772	+	17.3970i	−0.729717	+	0.632303i	0.208632	+	0.977994i	$0.433099\pi$
$758$	9.01835	−	5.20675i	0.327561	−	0.189118i
$759$	−17.2645	−	16.3077i	−0.626663	−	0.591931i
$760$	3.02475	−	5.23903i	0.109719	−	0.190039i
$761$	26.6058	+	9.20835i	0.964459	+	0.333802i	0.763508	−	0.645799i	$-0.223476\pi$
$761$	26.6058	+	9.20835i	0.964459	+	0.333802i	0.200951	+	0.979601i	$0.435597\pi$
$762$	−0.626716	+	0.975189i	−0.0227035	+	0.0353274i
$763$	20.9513	+	25.3109i	0.758486	+	0.916318i
$764$	−21.4520	−	9.79679i	−0.776106	−	0.354436i
$765$	−7.32563	+	5.76094i	−0.264859	+	0.208287i
$766$	20.2139	−	19.2739i	0.730358	−	0.696395i
$767$	0.305343	+	6.40995i	0.0110253	+	0.231450i
$768$	0.814576	+	0.580057i	0.0293935	+	0.0209310i
$769$	13.2182	−	3.88121i	0.476660	−	0.139960i	−0.0345730	−	0.999402i	$-0.511007\pi$
$769$	13.2182	−	3.88121i	0.476660	−	0.139960i	0.511233	+	0.859442i	$0.329189\pi$
$770$	−17.1380	−	7.31379i	−0.617609	−	0.263571i
$771$	13.4916	−	15.5701i	0.485887	−	0.560743i
$772$	11.8702	+	11.3182i	0.427217	+	0.407350i
$773$	−19.4557	−	1.85779i	−0.699772	−	0.0668201i	−0.260895	−	0.965367i	$-0.584018\pi$
$773$	−19.4557	−	1.85779i	−0.699772	−	0.0668201i	−0.438877	+	0.898547i	$0.644624\pi$
$774$	2.46313	−	0.117333i	0.0885354	−	0.00421746i
$775$	18.1056	−	4.39237i	0.650372	−	0.157779i
$776$	−0.611512	−	4.25316i	−0.0219520	−	0.152680i
$777$	23.8075	+	17.7761i	0.854089	+	0.637714i
$778$	−3.49096	−	0.501924i	−0.125157	−	0.0179949i
$779$	16.4528	+	0.783742i	0.589482	+	0.0280805i
$780$	−2.41978	+	0.466374i	−0.0866420	+	0.0166989i
$781$	−54.3157	−	31.3592i	−1.94357	−	1.12212i
$782$	−20.4681	+	23.8467i	−0.731939	+	0.852757i
$783$			7.69186i			0.274885i
$784$	4.81799	−	5.07809i	0.172071	−	0.181360i
$785$	−14.1187	−	9.07352i	−0.503917	−	0.323848i
$786$	15.1283	−	6.05647i	0.539610	−	0.216027i
$787$	23.1048	+	32.4462i	0.823599	+	1.15658i	0.985483	+	0.169773i	$0.0543034\pi$
$787$	23.1048	+	32.4462i	0.823599	+	1.15658i	−0.161884	+	0.986810i	$0.551757\pi$
$788$	−3.21025	−	1.28519i	−0.114360	−	0.0457830i
$789$	−6.48232	−	26.7205i	−0.230777	−	0.951275i
$790$	−1.19303	−	1.85639i	−0.0424460	−	0.0660473i
$791$	3.25023	+	14.8525i	0.115565	+	0.528093i
$792$	1.39513	+	4.75137i	0.0495738	+	0.168833i
$793$	1.55299	−	8.05767i	0.0551482	−	0.286136i
$794$	−9.72787	+	3.36685i	−0.345229	+	0.119485i
$795$	−3.01116	+	12.4122i	−0.106795	+	0.440214i
$796$	−2.93961	+	4.12811i	−0.104192	+	0.146317i
$797$	−12.1632	+	7.81681i	−0.430843	+	0.276886i	−0.738036	−	0.674761i	$-0.764247\pi$
$797$	−12.1632	+	7.81681i	−0.430843	+	0.276886i	0.307193	+	0.951647i	$0.400610\pi$
$798$	0.281754	+	11.2504i	0.00997398	+	0.398260i
$799$	47.3148	−	6.80284i	1.67388	−	0.240667i
$800$	−2.96383	+	0.283012i	−0.104787	+	0.0100060i
$801$	−5.09362	−	4.00567i	−0.179974	−	0.141533i
$802$	−13.3223	−	25.8416i	−0.470426	−	0.912498i
$803$	11.8152	−	34.1376i	0.416948	−	1.20469i
$804$	10.3306			0.364331
$805$	7.00521	−	16.6307i	0.246901	−	0.586154i
$806$	−10.8427			−0.381918
$807$	−3.44676	+	9.95877i	−0.121332	+	0.350565i
$808$	−2.16745	−	4.20427i	−0.0762507	−	0.147906i
$809$	35.7144	+	28.0861i	1.25565	+	0.987454i	0.999785	+	0.0207413i	$0.00660263\pi$
$809$	35.7144	+	28.0861i	1.25565	+	0.987454i	0.255865	+	0.966713i	$0.417640\pi$
$810$	−1.41577	+	0.135190i	−0.0497451	+	0.00475009i
$811$	6.87588	−	0.988602i	0.241445	−	0.0347145i	−0.0205301	−	0.999789i	$-0.506535\pi$
$811$	6.87588	−	0.988602i	0.241445	−	0.0347145i	0.261975	+	0.965075i	$0.415626\pi$
$812$	10.6134	+	17.3640i	0.372458	+	0.609357i
$813$	25.9501	−	16.6771i	0.910111	−	0.584893i
$814$	−32.2572	+	45.2989i	−1.13061	+	1.58773i
$815$	4.67920	−	19.2879i	0.163905	−	0.675627i
$816$	6.19243	−	2.14322i	0.216778	−	0.0750278i
$817$	−1.98506	+	10.2995i	−0.0694486	+	0.360333i
$818$	−1.99094	−	6.78053i	−0.0696117	−	0.237076i
$819$	3.38840	−	3.08793i	0.118400	−	0.107901i
$820$	2.97748	+	4.63305i	0.103978	+	0.161793i
$821$	−11.4227	−	47.0849i	−0.398654	−	1.64327i	−0.718297	−	0.695737i	$-0.755078\pi$
$821$	−11.4227	−	47.0849i	−0.398654	−	1.64327i	0.319643	−	0.947538i	$-0.396437\pi$
$822$	7.13994	+	2.85840i	0.249034	+	0.0996981i
$823$	3.87766	+	5.44542i	0.135167	+	0.189815i	0.876612	−	0.481199i	$-0.159798\pi$
$823$	3.87766	+	5.44542i	0.135167	+	0.189815i	−0.741445	+	0.671014i	$0.765859\pi$
$824$	−7.41937	+	2.97027i	−0.258466	+	0.103474i
$825$	−12.4031	−	7.97096i	−0.431819	−	0.277513i
$826$	4.70662	+	8.59420i	0.163764	+	0.299030i
$827$			15.2609i			0.530673i	0.964156	+	0.265336i	$0.0854830\pi$
$827$			15.2609i			0.530673i	−0.964156	+	0.265336i	$0.914517\pi$
$828$	−4.59517	+	1.37273i	−0.159693	+	0.0477055i
$829$	−28.8493	−	16.6562i	−1.00198	−	0.578492i	−0.0931451	−	0.995653i	$-0.529692\pi$
$829$	−28.8493	−	16.6562i	−1.00198	−	0.578492i	−0.908833	+	0.417160i	$0.863025\pi$
$830$	21.2420	−	4.09406i	0.737321	−	0.142107i
$831$	10.2630	+	0.488888i	0.356020	+	0.0169593i
$832$	1.71510	+	0.246594i	0.0594603	+	0.00854909i
$833$	−8.79248	−	45.0193i	−0.304641	−	1.55982i
$834$	2.76484	+	19.2299i	0.0957385	+	0.665876i
$835$	−32.7719	+	7.95038i	−1.13412	+	0.275134i
$836$	−21.0398	+	1.00225i	−0.727676	+	0.0346635i
$837$	−6.22924	−	0.594821i	−0.215314	−	0.0205600i
$838$	−6.29032	−	5.99781i	−0.217295	−	0.207191i
$839$	−8.13884	+	9.39273i	−0.280984	+	0.324273i	−0.878645	−	0.477476i	$-0.841552\pi$
$839$	−8.13884	+	9.39273i	−0.280984	+	0.324273i	0.597660	+	0.801749i	$0.296097\pi$
$840$	−3.00950	+	2.25870i	−0.103837	+	0.0779326i
$841$	−28.9429	+	8.49840i	−0.998030	+	0.293048i
$842$	−10.3271	−	7.35389i	−0.355895	−	0.253432i
$843$	−0.503346	−	10.5665i	−0.0173361	−	0.363930i
$844$	1.95958	−	1.86846i	0.0674516	−	0.0643150i
$845$	11.1767	−	8.78945i	0.384490	−	0.302366i
$846$	6.63555	+	3.03035i	0.228135	+	0.104186i
$847$	5.97638	+	35.2730i	0.205351	+	1.21199i
$848$	4.85524	−	7.55490i	0.166730	−	0.259436i
$849$	19.5533	+	6.76746i	0.671068	+	0.232259i
$850$	−9.75492	+	16.8960i	−0.334591	+	0.579529i
$851$	−44.0168	−	31.0339i	−1.50888	−	1.06383i
$852$	−10.9685	+	6.33267i	−0.375775	+	0.216954i
$853$	31.9521	−	27.6867i	1.09402	−	0.947973i	0.0951477	−	0.995463i	$-0.469668\pi$
$853$	31.9521	−	27.6867i	1.09402	−	0.947973i	0.998872	+	0.0474899i	$0.0151222\pi$
$854$	−3.25796	−	12.0989i	−0.111485	−	0.414016i
$855$	0.860935	−	5.98793i	0.0294433	−	0.204783i
$856$	−0.172059	−	1.80188i	−0.00588085	−	0.0615871i
$857$	−8.16697	+	20.4001i	−0.278978	+	0.696854i	0.721014	+	0.692921i	$0.243676\pi$
$857$	−8.16697	+	20.4001i	−0.278978	+	0.696854i	−0.999992	+	0.00393356i	$0.998748\pi$
$858$	5.92117	+	6.20995i	0.202146	+	0.212004i
$859$	−18.8478	+	36.5597i	−0.643080	+	1.24740i	0.311727	+	0.950172i	$0.399093\pi$
$859$	−18.8478	+	36.5597i	−0.643080	+	1.24740i	−0.954806	+	0.297229i	$0.903938\pi$
$860$	−3.19014	+	1.45689i	−0.108783	+	0.0496795i
$861$	−9.22107	−	4.46521i	−0.314253	−	0.152174i
$862$	−29.6782	−	25.7163i	−1.01084	−	0.875900i
$863$	−49.9371	−	9.62459i	−1.69988	−	0.327625i	−0.755168	−	0.655531i	$-0.772445\pi$
$863$	−49.9371	−	9.62459i	−1.69988	−	0.327625i	−0.944710	+	0.327906i	$0.893657\pi$
$864$	0.971812	+	0.235759i	0.0330617	+	0.00802068i
$865$	−1.75705	+	18.4006i	−0.0597414	+	0.625640i
$866$	11.4492	+	5.90248i	0.389060	+	0.200574i
$867$	7.30803	−	24.8889i	0.248194	−	0.845270i
$868$	−14.8830	+	7.25249i	−0.505160	+	0.246166i
$869$	−3.19181	+	6.98909i	−0.108275	+	0.237089i
$870$	−4.06579	−	10.1558i	−0.137843	−	0.344315i
$871$	15.9103	−	8.20231i	0.539099	−	0.277925i
$872$	2.35029	+	12.1944i	0.0795908	+	0.412956i
$873$	−2.14845	−	3.72122i	−0.0727140	−	0.125944i
$874$	−1.06628	−	20.3716i	−0.0360673	−	0.689080i
$875$	6.34427	−	29.3391i	0.214476	−	0.991842i
$876$	−4.77719	−	5.51318i	−0.161406	−	0.186273i
$877$	0.112427	−	2.36013i	0.00379639	−	0.0796960i	−0.996174	−	0.0873920i	$-0.972147\pi$
$877$	0.112427	−	2.36013i	0.00379639	−	0.0796960i	0.999970	+	0.00769605i	$0.00244975\pi$
$878$	12.9036	−	16.4083i	0.435476	−	0.553752i
$879$	5.25128	−	3.73942i	0.177121	−	0.126127i
$880$	−4.35353	−	5.53597i	−0.146758	−	0.186617i
$881$	15.5197	+	4.55701i	0.522873	+	0.153529i	0.532509	−	0.846424i	$-0.321249\pi$
$881$	15.5197	+	4.55701i	0.522873	+	0.153529i	−0.00963606	+	0.999954i	$0.503067\pi$
$882$	2.58553	−	6.50500i	0.0870593	−	0.219035i
$883$	12.1347	+	26.5714i	0.408367	+	0.894199i	0.996353	+	0.0853276i	$0.0271937\pi$
$883$	12.1347	+	26.5714i	0.408367	+	0.894199i	−0.587986	+	0.808871i	$0.700079\pi$
$884$	7.83537	−	8.21750i	0.263532	−	0.276384i
$885$	−1.72273	−	4.97750i	−0.0579089	−	0.167317i
$886$	−6.84095	−	19.7656i	−0.229826	−	0.664039i
$887$	−29.3267	+	30.7570i	−0.984695	+	1.03272i	0.0147665	+	0.999891i	$0.495300\pi$
$887$	−29.3267	+	30.7570i	−0.984695	+	1.03272i	−0.999461	+	0.0328269i	$0.989549\pi$
$888$	4.66510	+	10.2151i	0.156551	+	0.342798i
$889$	1.07536	+	2.87227i	0.0360663	+	0.0963330i
$890$	8.84262	+	2.59643i	0.296405	+	0.0870324i
$891$	3.06110	+	3.89251i	0.102551	+	0.130404i
$892$	−3.56474	+	2.53844i	−0.119356	+	0.0849932i
$893$	−19.1808	+	24.3904i	−0.641861	+	0.816193i
$894$	0.748886	−	15.7210i	0.0250465	−	0.525791i
$895$	11.3596	+	13.1096i	0.379708	+	0.438207i
$896$	2.51912	−	0.808717i	0.0841580	−	0.0270173i
$897$	−5.98717	+	5.76265i	−0.199906	+	0.192409i
$898$	−4.33613	−	7.51040i	−0.144699	−	0.250625i
$899$	−9.10912	−	47.2626i	−0.303806	−	1.57630i
$900$	−2.64634	+	1.36428i	−0.0882114	+	0.0454761i
$901$	−21.8715	−	54.6325i	−0.728646	−	1.82007i
$902$	7.96591	−	17.4429i	0.265236	−	0.580785i
$903$	3.65018	−	5.40756i	0.121470	−	0.179952i
$904$	−1.61899	+	5.51378i	−0.0538468	+	0.183385i
$905$	−14.6860	−	7.57115i	−0.488179	−	0.251674i
$906$	1.51839	−	15.9013i	0.0504451	−	0.528285i
$907$	−29.4080	−	7.13431i	−0.976477	−	0.236891i	−0.284393	−	0.958708i	$-0.591792\pi$
$907$	−29.4080	−	7.13431i	−0.976477	−	0.236891i	−0.692084	+	0.721817i	$0.743307\pi$
$908$	7.12041	+	1.37235i	0.236299	+	0.0455429i
$909$	−3.57476	−	3.09755i	−0.118567	−	0.102739i
$910$	−2.84159	+	5.86815i	−0.0941979	+	0.194527i
$911$	2.56191	−	1.16999i	0.0848799	−	0.0387634i	−0.372523	−	0.928023i	$-0.621507\pi$
$911$	2.56191	−	1.16999i	0.0848799	−	0.0387634i	0.457403	+	0.889260i	$0.348780\pi$
$912$	−1.94911	+	3.78074i	−0.0645414	+	0.125193i
$913$	−51.9790	−	54.5140i	−1.72025	−	1.80415i
$914$	−9.89021	+	24.7046i	−0.327139	+	0.817154i
$915$	0.640238	+	6.70488i	0.0211656	+	0.221656i
$916$	−0.0962505	+	0.669437i	−0.00318020	+	0.0221188i
$917$	11.1072	−	41.6589i	0.366791	−	1.37570i
$918$	4.95230	−	4.29119i	0.163450	−	0.141630i
$919$	31.3726	−	18.1130i	1.03489	−	0.597491i	0.116505	−	0.993190i	$-0.462831\pi$
$919$	31.3726	−	18.1130i	1.03489	−	0.597491i	0.918380	+	0.395699i	$0.129498\pi$
$920$	5.34157	−	4.24139i	0.176106	−	0.139834i
$921$	15.4860	−	26.8226i	0.510282	−	0.883834i
$922$	2.50449	+	0.866814i	0.0824811	+	0.0285470i
$923$	−11.8647	+	18.4619i	−0.390532	+	0.607680i
$924$	12.2813	+	4.56335i	0.404024	+	0.150123i
$925$	−30.4137	−	13.8895i	−0.999997	−	0.456683i
$926$	10.6311	−	8.36041i	0.349361	−	0.274740i
$927$	−5.78397	+	5.51500i	−0.189970	+	0.181136i
$928$	0.365994	+	7.68315i	0.0120143	+	0.252212i
$929$	1.94062	+	1.38191i	0.0636697	+	0.0453390i	0.611449	−	0.791284i	$-0.290587\pi$
$929$	1.94062	+	1.38191i	0.0636697	+	0.0453390i	−0.547779	+	0.836623i	$0.684526\pi$
$930$	8.53910	−	2.50731i	0.280008	−	0.0822178i
$931$	24.2968	+	17.2111i	0.796296	+	0.564072i
$932$	8.59166	−	9.91531i	0.281429	−	0.324787i
$933$	1.25722	+	1.19876i	0.0411597	+	0.0392457i
$934$	−18.1413	−	1.73228i	−0.593602	−	0.0566821i
$935$	−46.0976	+	2.19590i	−1.50755	+	0.0718136i
$936$	1.68389	−	0.408507i	0.0550397	−	0.0133525i
$937$	4.77244	+	33.1930i	0.155909	+	1.08437i	0.906074	+	0.423119i	$0.139065\pi$
$937$	4.77244	+	33.1930i	0.155909	+	1.08437i	−0.750165	+	0.661250i	$0.770026\pi$
$938$	16.3524	−	21.9008i	0.533925	−	0.715085i
$939$	−12.2324	−	1.75875i	−0.399189	−	0.0573948i
$940$	−10.3629	−	0.493648i	−0.338002	−	0.0161010i
$941$	−30.6526	+	5.90780i	−0.999245	+	0.192589i	−0.662544	−	0.749023i	$-0.730523\pi$
$941$	−30.6526	+	5.90780i	−0.999245	+	0.192589i	−0.336701	+	0.941612i	$0.609311\pi$
$942$	10.2196	+	5.90028i	0.332972	+	0.192242i
$943$	16.9290	+	7.63537i	0.551283	+	0.248642i
$944$			3.70352i			0.120539i
$945$	−1.95444	+	3.21542i	−0.0635781	+	0.104598i
$946$	10.2727	+	6.60185i	0.333994	+	0.214645i
$947$	−18.4526	+	7.38731i	−0.599629	+	0.240055i	−0.651562	−	0.758595i	$-0.725886\pi$
$947$	−18.4526	+	7.38731i	−0.599629	+	0.240055i	0.0519330	+	0.998651i	$0.483462\pi$
$948$	0.900012	+	1.26389i	0.0292310	+	0.0410492i
$949$	−11.7348	−	4.69790i	−0.380928	−	0.152500i
$950$	−2.98572	−	12.3073i	−0.0968694	−	0.399301i
$951$	−3.48699	−	5.42586i	−0.113073	−	0.175946i
$952$	5.25847	−	16.5205i	0.170428	−	0.535431i
$953$	−4.25618	−	14.4952i	−0.137871	−	0.469547i	0.861391	−	0.507942i	$-0.169594\pi$
$953$	−4.25618	−	14.4952i	−0.137871	−	0.469547i	−0.999263	+	0.0383953i	$0.987775\pi$
$954$	1.69957	−	8.81823i	0.0550258	−	0.285501i
$955$	31.6955	−	10.9699i	1.02564	−	0.354979i
$956$	−1.64049	+	6.76217i	−0.0530571	+	0.218704i
$957$	−22.0943	+	31.0271i	−0.714206	+	1.00296i
$958$	−6.75909	+	4.34380i	−0.218376	+	0.140342i
$959$	17.3617	−	10.6120i	0.560639	−	0.342680i
$960$	−1.40774	+	0.202402i	−0.0454345	+	0.00653249i
$961$	8.12033	−	0.775398i	0.261946	−	0.0250128i
$962$	15.2955	+	12.0285i	0.493145	+	0.387814i
$963$	−0.829426	−	1.60886i	−0.0267279	−	0.0518449i
$964$	−4.54630	+	13.1357i	−0.146427	+	0.423072i
$965$	−23.3261			−0.750893
$966$	−4.36360	+	11.9147i	−0.140396	+	0.383348i
$967$	−9.66972			−0.310957			−0.155479	−	0.987839i	$-0.549692\pi$
$967$	−9.66972			−0.310957			−0.155479	+	0.987839i	$0.549692\pi$
$968$	−4.42259	+	12.7782i	−0.142147	+	0.410708i
$969$	12.7722	+	24.7746i	0.410302	+	0.795874i
$970$	4.80365	+	3.77763i	0.154236	+	0.121292i
$971$	41.2313	−	3.93711i	1.32317	−	0.126348i	0.590561	−	0.806993i	$-0.298906\pi$
$971$	41.2313	−	3.93711i	1.32317	−	0.126348i	0.732614	+	0.680645i	$0.238300\pi$
$972$	0.989821	−	0.142315i	0.0317485	−	0.00456475i
$973$	45.1438	+	24.5778i	1.44724	+	0.787928i
$974$	6.98050	−	4.48610i	0.223670	−	0.143744i
$975$	−2.99245	+	4.20231i	−0.0958351	+	0.134582i
$976$	1.11652	−	4.60235i	0.0357389	−	0.147318i
$977$	19.6083	−	6.78650i	0.627326	−	0.217119i	0.00513688	−	0.999987i	$-0.498365\pi$
$977$	19.6083	−	6.78650i	0.627326	−	0.217119i	0.622189	+	0.782867i	$0.286244\pi$
$978$	−2.64106	+	13.7031i	−0.0844518	+	0.438177i
$979$	−9.04043	−	30.7889i	−0.288934	−	0.984017i
$980$	0.0246636	+	9.95545i	0.000787849	+	0.318015i
$981$	6.71415	+	10.4474i	0.214366	+	0.333560i
$982$	−7.52419	−	31.0151i	−0.240107	−	0.989733i
$983$	−39.7360	−	15.9079i	−1.26738	−	0.507382i	−0.362077	−	0.932148i	$-0.617932\pi$
$983$	−39.7360	−	15.9079i	−1.26738	−	0.507382i	−0.905303	+	0.424766i	$0.860356\pi$
$984$	−2.24619	−	3.15433i	−0.0716059	−	0.100556i
$985$	4.56565	−	1.82781i	0.145474	−	0.0582389i
$986$	42.4021	+	27.2502i	1.35036	+	0.867823i
$987$	16.9278	−	9.27054i	0.538819	−	0.295085i
$988$			7.37034i			0.234482i
$989$	−6.34694	+	9.97870i	−0.201821	+	0.317304i
$990$	−6.09919	−	3.52137i	−0.193845	−	0.111916i
$991$	19.1984	−	3.70019i	0.609858	−	0.117540i	0.125034	−	0.992152i	$-0.460096\pi$
$991$	19.1984	−	3.70019i	0.609858	−	0.117540i	0.484824	+	0.874612i	$0.338884\pi$
$992$	−6.25049	−	0.297748i	−0.198453	−	0.00945349i
$993$	14.7325	+	2.11822i	0.467523	+	0.0672197i
$994$	−3.93698	+	33.2773i	−0.124874	+	1.05549i
$995$	−1.02573	−	7.13413i	−0.0325179	−	0.226167i
$996$	−14.7820	+	3.58608i	−0.468386	+	0.113629i
$997$	45.4835	−	2.16664i	1.44048	−	0.0686183i	0.687269	−	0.726403i	$-0.258809\pi$
$997$	45.4835	−	2.16664i	1.44048	−	0.0686183i	0.753206	+	0.657784i	$0.228506\pi$
$998$	32.5555	+	3.10867i	1.03053	+	0.0984032i
$999$	8.12752	+	7.74957i	0.257143	+	0.245186i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.be.a.493.5	yes	320
7.5	odd	6	inner	966.2.be.a.355.5	yes	320
23.7	odd	22	inner	966.2.be.a.283.5	yes	320
161.145	even	66	inner	966.2.be.a.145.5	✓	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.be.a.145.5	✓	320	161.145	even	66	inner
966.2.be.a.283.5	yes	320	23.7	odd	22	inner
966.2.be.a.355.5	yes	320	7.5	odd	6	inner
966.2.be.a.493.5	yes	320	1.1	even	1	trivial

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.be (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(0.327068 - 0.945001i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(1.41577 - 0.135190i) q^{5} +(-0.989821 + 0.142315i) q^{6} +(-1.26510 + 2.32369i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\)	\(q+(0.327068 - 0.945001i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(1.41577 - 0.135190i) q^{5} +(-0.989821 + 0.142315i) q^{6} +(-1.26510 + 2.32369i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(0.335299 - 1.38212i) q^{10} +(-4.67961 + 1.61963i) q^{11} +(-0.189251 + 0.981929i) q^{12} +(0.488167 + 1.66255i) q^{13} +(1.78212 + 1.95552i) q^{14} +(-0.768906 - 1.19644i) q^{15} +(0.235759 + 0.971812i) q^{16} +(6.08344 + 2.43544i) q^{17} +(0.580057 + 0.814576i) q^{18} +(-3.94890 + 1.58090i) q^{19} +(-1.19644 - 0.768906i) q^{20} +(2.64508 + 0.0596864i) q^{21} +4.95196i q^{22} +(-4.79578 + 0.0225100i) q^{23} +(0.866025 + 0.500000i) q^{24} +(-2.92351 + 0.563460i) q^{25} +(1.73077 + 0.0824467i) q^{26} +(0.989821 + 0.142315i) q^{27} +(2.43084 - 1.04451i) q^{28} +(1.09467 + 7.61357i) q^{29} +(-1.38212 + 0.335299i) q^{30} +(-6.25049 + 0.297748i) q^{31} +(0.995472 + 0.0950560i) q^{32} +(3.58390 + 3.41725i) q^{33} +(4.29119 - 4.95230i) q^{34} +(-1.47695 + 3.46084i) q^{35} +(0.959493 - 0.281733i) q^{36} +(9.14767 + 6.51403i) q^{37} +(0.202394 + 4.24877i) q^{38} +(1.25404 - 1.19572i) q^{39} +(-1.11793 + 0.879153i) q^{40} +(-3.52242 - 1.60864i) q^{41} +(0.921524 - 2.48008i) q^{42} +(1.33318 - 2.07447i) q^{43} +(4.67961 + 1.61963i) q^{44} +(-0.711106 + 1.23167i) q^{45} +(-1.54727 + 4.53938i) q^{46} +(6.31745 - 3.64738i) q^{47} +(0.755750 - 0.654861i) q^{48} +(-3.79906 - 5.87938i) q^{49} +(-0.423716 + 2.94701i) q^{50} +(-0.622886 - 6.52316i) q^{51} +(0.643992 - 1.60861i) q^{52} +(-6.19727 - 6.49951i) q^{53} +(0.458227 - 0.888835i) q^{54} +(-6.40630 + 2.92566i) q^{55} +(-0.192015 - 2.63877i) q^{56} +(3.21465 + 2.78551i) q^{57} +(7.55286 + 1.45569i) q^{58} +(3.59913 + 0.873138i) q^{59} +(-0.135190 + 1.41577i) q^{60} +(-4.20939 - 2.17009i) q^{61} +(-1.76296 + 6.00410i) q^{62} +(-1.15899 - 2.37839i) q^{63} +(0.415415 - 0.909632i) q^{64} +(0.915892 + 2.28779i) q^{65} +(4.40148 - 2.26912i) q^{66} +(-1.95507 - 10.1439i) q^{67} +(-3.27642 - 5.67492i) q^{68} +(2.21756 + 4.25234i) q^{69} +(2.78744 + 2.52765i) q^{70} +(8.29404 + 9.57183i) q^{71} +(0.0475819 - 0.998867i) q^{72} +(-4.50946 + 5.73424i) q^{73} +(9.14767 - 6.51403i) q^{74} +(1.84045 + 2.34033i) q^{75} +(4.08129 + 1.19838i) q^{76} +(2.15664 - 12.9229i) q^{77} +(-0.719803 - 1.57615i) q^{78} +(1.07072 - 1.12294i) q^{79} +(0.465160 + 1.34399i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(-2.67223 + 2.80256i) q^{82} +(6.31879 + 13.8362i) q^{83} +(-2.04228 - 1.68200i) q^{84} +(8.94201 + 2.62561i) q^{85} +(-1.52433 - 1.93835i) q^{86} +(6.26561 - 4.46172i) q^{87} +(3.06110 - 3.89251i) q^{88} +(-0.308331 + 6.47266i) q^{89} +(0.931350 + 1.07484i) q^{90} +(-4.48082 - 0.968931i) q^{91} +(3.78365 + 2.94686i) q^{92} +(3.12879 + 5.41922i) q^{93} +(-1.38054 - 7.16293i) q^{94} +(-5.37702 + 2.77204i) q^{95} +(-0.371662 - 0.928368i) q^{96} +(-1.78500 + 3.90859i) q^{97} +(-6.79857 + 1.66716i) q^{98} +(1.39513 - 4.75137i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 16 q^{9}+O(q^{10}) \) 320 * q - 16 * q^2 + 16 * q^4 + 32 * q^8 - 16 * q^9	\( 320 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 16 q^{9} - 22 q^{14} + 16 q^{16} + 66 q^{17} + 16 q^{18} + 40 q^{23} - 48 q^{25} + 12 q^{26} + 44 q^{28} - 24 q^{29} + 24 q^{31} - 16 q^{32} + 98 q^{35} + 32 q^{36} - 22 q^{37} - 66 q^{38} - 8 q^{39} - 88 q^{43} + 4 q^{46} - 144 q^{47} - 24 q^{49} + 80 q^{50} - 22 q^{51} + 12 q^{52} + 44 q^{53} + 44 q^{57} + 10 q^{58} + 12 q^{59} - 32 q^{64} + 108 q^{70} - 16 q^{71} + 16 q^{72} - 180 q^{73} - 22 q^{74} - 12 q^{75} + 18 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 36 q^{82} + 22 q^{84} + 68 q^{85} - 22 q^{86} + 48 q^{87} + 22 q^{88} + 8 q^{92} + 8 q^{93} - 12 q^{94} + 66 q^{95} - 90 q^{98}+O(q^{100}) \) 320 * q - 16 * q^2 + 16 * q^4 + 32 * q^8 - 16 * q^9 - 22 * q^14 + 16 * q^16 + 66 * q^17 + 16 * q^18 + 40 * q^23 - 48 * q^25 + 12 * q^26 + 44 * q^28 - 24 * q^29 + 24 * q^31 - 16 * q^32 + 98 * q^35 + 32 * q^36 - 22 * q^37 - 66 * q^38 - 8 * q^39 - 88 * q^43 + 4 * q^46 - 144 * q^47 - 24 * q^49 + 80 * q^50 - 22 * q^51 + 12 * q^52 + 44 * q^53 + 44 * q^57 + 10 * q^58 + 12 * q^59 - 32 * q^64 + 108 * q^70 - 16 * q^71 + 16 * q^72 - 180 * q^73 - 22 * q^74 - 12 * q^75 + 18 * q^77 - 16 * q^78 + 44 * q^79 + 16 * q^81 + 36 * q^82 + 22 * q^84 + 68 * q^85 - 22 * q^86 + 48 * q^87 + 22 * q^88 + 8 * q^92 + 8 * q^93 - 12 * q^94 + 66 * q^95 - 90 * q^98

Introduction

L-functions

Modular forms

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