LMFDB - Embedded newform 966.2.bf.a.11.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(11,966)]

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([33, 44, 27]))

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

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

chi := DirichletCharacter("966.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.bf (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:	$1280$
Relative dimension:	$64$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			11.6
Character	$\chi$	$=$	966.11
Dual form			966.2.bf.a.527.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.458227 + 0.888835i) q^{2} +(-1.47486 + 0.908181i) q^{3} +(-0.580057 - 0.814576i) q^{4} +(0.367129 + 0.350057i) q^{5} +(-0.131404 - 1.72706i) q^{6} +(2.61845 - 0.379131i) q^{7} +(0.989821 - 0.142315i) q^{8} +(1.35042 - 2.67888i) q^{9} +O(q^{10})$	\(q+(-0.458227 + 0.888835i) q^{2} +(-1.47486 + 0.908181i) q^{3} +(-0.580057 - 0.814576i) q^{4} +(0.367129 + 0.350057i) q^{5} +(-0.131404 - 1.72706i) q^{6} +(2.61845 - 0.379131i) q^{7} +(0.989821 - 0.142315i) q^{8} +(1.35042 - 2.67888i) q^{9} +(-0.479371 + 0.165912i) q^{10} +(-1.65552 + 0.853479i) q^{11} +(1.59528 + 0.674588i) q^{12} +(0.324528 - 0.374526i) q^{13} +(-0.862857 + 2.50110i) q^{14} +(-0.859379 - 0.182865i) q^{15} +(-0.327068 + 0.945001i) q^{16} +(-4.00123 - 0.382071i) q^{17} +(1.76228 + 2.42783i) q^{18} +(-0.710311 - 7.43872i) q^{19} +(0.0721922 - 0.502108i) q^{20} +(-3.51752 + 2.93719i) q^{21} -1.86257i q^{22} +(3.50151 - 3.27711i) q^{23} +(-1.33060 + 1.10883i) q^{24} +(-0.225666 - 4.73730i) q^{25} +(0.184184 + 0.460070i) q^{26} +(0.441230 + 5.17739i) q^{27} +(-1.82768 - 1.91301i) q^{28} +(0.893631 - 0.408108i) q^{29} +(0.556327 - 0.680053i) q^{30} +(-3.66804 - 1.46846i) q^{31} +(-0.690079 - 0.723734i) q^{32} +(1.66654 - 2.76227i) q^{33} +(2.17307 - 3.38136i) q^{34} +(1.09403 + 0.777416i) q^{35} +(-2.96547 + 0.453884i) q^{36} +(-6.53083 + 1.58436i) q^{37} +(6.93728 + 2.77727i) q^{38} +(-0.138497 + 0.847103i) q^{39} +(0.413211 + 0.294246i) q^{40} +(-3.00709 - 10.2412i) q^{41} +(-0.998854 - 4.47239i) q^{42} +(4.15540 + 0.597456i) q^{43} +(1.65552 + 0.853479i) q^{44} +(1.43354 - 0.510771i) q^{45} +(1.30833 + 4.61392i) q^{46} +(3.00574 - 1.73537i) q^{47} +(-0.375852 - 1.69078i) q^{48} +(6.71252 - 1.98547i) q^{49} +(4.31409 + 1.97018i) q^{50} +(6.24824 - 3.07034i) q^{51} +(-0.493325 - 0.0471068i) q^{52} +(-0.0648820 + 0.0125050i) q^{53} +(-4.80403 - 1.98023i) q^{54} +(-0.906555 - 0.266189i) q^{55} +(2.53784 - 0.747915i) q^{56} +(7.80331 + 10.3260i) q^{57} +(-0.0467449 + 0.981297i) q^{58} +(0.961294 - 0.332707i) q^{59} +(0.349531 + 0.806101i) q^{60} +(8.06620 + 10.2570i) q^{61} +(2.98602 - 2.58740i) q^{62} +(2.52035 - 7.52648i) q^{63} +(0.959493 - 0.281733i) q^{64} +(0.250249 - 0.0238959i) q^{65} +(1.69155 + 2.74703i) q^{66} +(15.0358 - 0.716244i) q^{67} +(2.00972 + 3.48093i) q^{68} +(-2.18802 + 8.01327i) q^{69} +(-1.19231 + 0.616176i) q^{70} +(4.91547 + 7.64862i) q^{71} +(0.955427 - 2.84379i) q^{72} +(-2.39337 - 3.36102i) q^{73} +(1.58436 - 6.53083i) q^{74} +(4.63515 + 6.78191i) q^{75} +(-5.64738 + 4.89348i) q^{76} +(-4.01130 + 2.86245i) q^{77} +(-0.689472 - 0.511266i) q^{78} +(0.807328 - 4.18882i) q^{79} +(-0.450880 + 0.232445i) q^{80} +(-5.35275 - 7.23520i) q^{81} +(10.4807 + 2.01999i) q^{82} +(5.95083 + 1.74732i) q^{83} +(4.43292 + 1.16155i) q^{84} +(-1.33522 - 1.54093i) q^{85} +(-2.43515 + 3.41970i) q^{86} +(-0.947344 + 1.41348i) q^{87} +(-1.51720 + 1.08040i) q^{88} +(-3.25836 + 1.30445i) q^{89} +(-0.202893 + 1.50823i) q^{90} +(0.707766 - 1.10371i) q^{91} +(-4.70053 - 0.951335i) q^{92} +(6.74348 - 1.16547i) q^{93} +(0.165144 + 3.46680i) q^{94} +(2.34320 - 2.97962i) q^{95} +(1.67505 + 0.440689i) q^{96} +(-2.09044 - 7.11938i) q^{97} +(-1.31110 + 6.87612i) q^{98} +(0.0507254 + 5.58748i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1280 q - 64 q^{4} - 8 q^{6} + 4 q^{9}+O(q^{10}) $ 1280 * q - 64 * q^4 - 8 * q^6 + 4 * q^9	$ 1280 q - 64 q^{4} - 8 q^{6} + 4 q^{9} + 64 q^{16} + 44 q^{18} - 132 q^{21} - 4 q^{24} + 72 q^{25} + 108 q^{27} + 44 q^{30} + 8 q^{36} + 44 q^{37} - 4 q^{39} - 88 q^{43} - 12 q^{46} + 60 q^{49} - 48 q^{54} + 96 q^{55} + 44 q^{58} - 176 q^{61} - 110 q^{63} + 128 q^{64} + 56 q^{69} - 120 q^{70} + 44 q^{72} + 40 q^{73} - 268 q^{75} + 16 q^{78} + 88 q^{79} + 8 q^{81} - 56 q^{82} - 22 q^{84} + 64 q^{85} - 42 q^{87} - 32 q^{93} + 8 q^{94} + 4 q^{96} + 132 q^{99}+O(q^{100}) $ 1280 * q - 64 * q^4 - 8 * q^6 + 4 * q^9 + 64 * q^16 + 44 * q^18 - 132 * q^21 - 4 * q^24 + 72 * q^25 + 108 * q^27 + 44 * q^30 + 8 * q^36 + 44 * q^37 - 4 * q^39 - 88 * q^43 - 12 * q^46 + 60 * q^49 - 48 * q^54 + 96 * q^55 + 44 * q^58 - 176 * q^61 - 110 * q^63 + 128 * q^64 + 56 * q^69 - 120 * q^70 + 44 * q^72 + 40 * q^73 - 268 * q^75 + 16 * q^78 + 88 * q^79 + 8 * q^81 - 56 * q^82 - 22 * q^84 + 64 * q^85 - 42 * q^87 - 32 * q^93 + 8 * q^94 + 4 * q^96 + 132 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$829$	$925$
$\chi(n)$	$-1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{9}{22}\right)$

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 $

$2$	−0.458227	+	0.888835i	−0.324015	+	0.628502i
$2$	−0.458227	+	0.888835i	−0.324015	+	0.628502i
$3$	−1.47486	+	0.908181i	−0.851510	+	0.524338i
$3$	−1.47486	+	0.908181i	−0.851510	+	0.524338i
$4$	−0.580057	−	0.814576i	−0.290028	−	0.407288i
$5$	0.367129	+	0.350057i	0.164185	+	0.156550i	0.767718	−	0.640788i	$-0.221392\pi$
$5$	0.367129	+	0.350057i	0.164185	+	0.156550i	−0.603533	+	0.797338i	$0.706241\pi$
$6$	−0.131404	−	1.72706i	−0.0536453	−	0.705069i
$7$	2.61845	−	0.379131i	0.989680	−	0.143298i
$7$	2.61845	−	0.379131i	0.989680	−	0.143298i
$8$	0.989821	−	0.142315i	0.349955	−	0.0503159i
$9$	1.35042	−	2.67888i	0.450139	−	0.892959i
$10$	−0.479371	+	0.165912i	−0.151591	+	0.0524660i
$11$	−1.65552	+	0.853479i	−0.499157	+	0.257334i	−0.689370	−	0.724409i	$-0.742113\pi$
$11$	−1.65552	+	0.853479i	−0.499157	+	0.257334i	0.190213	+	0.981743i	$0.439082\pi$
$12$	1.59528	+	0.674588i	0.460519	+	0.194737i
$13$	0.324528	−	0.374526i	0.0900080	−	0.103875i	−0.708959	−	0.705250i	$-0.750835\pi$
$13$	0.324528	−	0.374526i	0.0900080	−	0.103875i	0.798967	+	0.601375i	$0.205380\pi$
$14$	−0.862857	+	2.50110i	−0.230608	+	0.668446i
$15$	−0.859379	−	0.182865i	−0.221891	−	0.0472155i
$16$	−0.327068	+	0.945001i	−0.0817670	+	0.236250i
$17$	−4.00123	−	0.382071i	−0.970441	−	0.0926659i	−0.402221	−	0.915543i	$-0.631762\pi$
$17$	−4.00123	−	0.382071i	−0.970441	−	0.0926659i	−0.568220	+	0.822877i	$0.692368\pi$
$18$	1.76228	+	2.42783i	0.415374	+	0.572245i
$19$	−0.710311	−	7.43872i	−0.162957	−	1.70656i	−0.594195	−	0.804321i	$-0.702529\pi$
$19$	−0.710311	−	7.43872i	−0.162957	−	1.70656i	0.431239	−	0.902238i	$-0.358077\pi$
$20$	0.0721922	−	0.502108i	0.0161427	−	0.112275i
$21$	−3.51752	+	2.93719i	−0.767586	+	0.640946i
$22$		−	1.86257i		−	0.397101i
$23$	3.50151	−	3.27711i	0.730115	−	0.683324i
$23$	3.50151	−	3.27711i	0.730115	−	0.683324i
$24$	−1.33060	+	1.10883i	−0.271607	+	0.226339i
$25$	−0.225666	−	4.73730i	−0.0451331	−	0.947461i
$26$	0.184184	+	0.460070i	0.0361215	+	0.0902271i
$27$	0.441230	+	5.17739i	0.0849147	+	0.996388i
$28$	−1.82768	−	1.91301i	−0.345399	−	0.361524i
$29$	0.893631	−	0.408108i	0.165943	−	0.0757837i	−0.330712	−	0.943732i	$-0.607289\pi$
$29$	0.893631	−	0.408108i	0.165943	−	0.0757837i	0.496655	+	0.867948i	$0.334561\pi$
$30$	0.556327	−	0.680053i	0.101571	−	0.124160i
$31$	−3.66804	−	1.46846i	−0.658800	−	0.263744i	0.0180805	−	0.999837i	$-0.494244\pi$
$31$	−3.66804	−	1.46846i	−0.658800	−	0.263744i	−0.676881	+	0.736093i	$0.736669\pi$
$32$	−0.690079	−	0.723734i	−0.121990	−	0.127939i
$33$	1.66654	−	2.76227i	0.290108	−	0.480849i
$34$	2.17307	−	3.38136i	0.372678	−	0.579899i
$35$	1.09403	+	0.777416i	0.184924	+	0.131407i
$36$	−2.96547	+	0.453884i	−0.494244	+	0.0756473i
$37$	−6.53083	+	1.58436i	−1.07366	+	0.260468i	−0.733354	−	0.679846i	$-0.762046\pi$
$37$	−6.53083	+	1.58436i	−1.07366	+	0.260468i	−0.340308	+	0.940314i	$0.610531\pi$
$38$	6.93728	+	2.77727i	1.12538	+	0.450532i
$39$	−0.138497	+	0.847103i	−0.0221772	+	0.135645i
$40$	0.413211	+	0.294246i	0.0653344	+	0.0465244i
$41$	−3.00709	−	10.2412i	−0.469629	−	1.59941i	−0.765002	−	0.644028i	$-0.777262\pi$
$41$	−3.00709	−	10.2412i	−0.469629	−	1.59941i	0.295373	−	0.955382i	$-0.404556\pi$
$42$	−0.998854	−	4.47239i	−0.154127	−	0.690105i
$43$	4.15540	+	0.597456i	0.633692	+	0.0911112i	0.451673	−	0.892184i	$-0.350827\pi$
$43$	4.15540	+	0.597456i	0.633692	+	0.0911112i	0.182020	+	0.983295i	$0.441737\pi$
$44$	1.65552	+	0.853479i	0.249579	+	0.128667i
$45$	1.43354	−	0.510771i	0.213699	−	0.0761412i
$46$	1.30833	+	4.61392i	0.192902	+	0.680286i
$47$	3.00574	−	1.73537i	0.438433	−	0.253129i	−0.264500	−	0.964386i	$-0.585207\pi$
$47$	3.00574	−	1.73537i	0.438433	−	0.253129i	0.702933	+	0.711256i	$0.251874\pi$
$48$	−0.375852	−	1.69078i	−0.0542496	−	0.244043i
$49$	6.71252	−	1.98547i	0.958931	−	0.283638i
$50$	4.31409	+	1.97018i	0.610104	+	0.278625i
$51$	6.24824	−	3.07034i	0.874929	−	0.429934i
$52$	−0.493325	−	0.0471068i	−0.0684118	−	0.00653254i
$53$	−0.0648820	+	0.0125050i	−0.00891222	+	0.00171769i	−0.193705	−	0.981060i	$-0.562051\pi$
$53$	−0.0648820	+	0.0125050i	−0.00891222	+	0.00171769i	0.184793	+	0.982777i	$0.440838\pi$
$54$	−4.80403	−	1.98023i	−0.653745	−	0.269476i
$55$	−0.906555	−	0.266189i	−0.122240	−	0.0358929i
$56$	2.53784	−	0.747915i	0.339133	−	0.0999444i
$57$	7.80331	+	10.3260i	1.03357	+	1.36771i
$58$	−0.0467449	+	0.981297i	−0.00613791	+	0.128851i
$59$	0.961294	−	0.332707i	0.125150	−	0.0433148i	−0.263775	−	0.964584i	$-0.584968\pi$
$59$	0.961294	−	0.332707i	0.125150	−	0.0433148i	0.388925	+	0.921269i	$0.372847\pi$
$60$	0.349531	+	0.806101i	0.0451243	+	0.104067i
$61$	8.06620	+	10.2570i	1.03277	+	1.31328i	0.948481	+	0.316835i	$0.102620\pi$
$61$	8.06620	+	10.2570i	1.03277	+	1.31328i	0.0842908	+	0.996441i	$0.473138\pi$
$62$	2.98602	−	2.58740i	0.379225	−	0.328600i
$63$	2.52035	−	7.52648i	0.317534	−	0.948247i
$64$	0.959493	−	0.281733i	0.119937	−	0.0352166i
$65$	0.250249	−	0.0238959i	0.0310396	−	0.00296392i
$66$	1.69155	+	2.74703i	0.208215	+	0.338136i
$67$	15.0358	−	0.716244i	1.83692	−	0.0875031i	0.899755	−	0.436396i	$-0.143745\pi$
$67$	15.0358	−	0.716244i	1.83692	−	0.0875031i	0.937162	+	0.348893i	$0.113442\pi$
$68$	2.00972	+	3.48093i	0.243714	+	0.422125i
$69$	−2.18802	+	8.01327i	−0.263407	+	0.964685i
$70$	−1.19231	+	0.616176i	−0.142508	+	0.0736471i
$71$	4.91547	+	7.64862i	0.583359	+	0.907725i	0.999999	−	0.00134696i	$-0.000428751\pi$
$71$	4.91547	+	7.64862i	0.583359	+	0.907725i	−0.416640	+	0.909072i	$0.636792\pi$
$72$	0.955427	−	2.84379i	0.112598	−	0.335144i
$73$	−2.39337	−	3.36102i	−0.280123	−	0.393378i	0.650411	−	0.759582i	$-0.274597\pi$
$73$	−2.39337	−	3.36102i	−0.280123	−	0.393378i	−0.930534	+	0.366204i	$0.880657\pi$
$74$	1.58436	−	6.53083i	0.184178	−	0.759194i
$75$	4.63515	+	6.78191i	0.535221	+	0.783107i
$76$	−5.64738	+	4.89348i	−0.647799	+	0.561321i
$77$	−4.01130	+	2.86245i	−0.457131	+	0.326206i
$78$	−0.689472	−	0.511266i	−0.0780674	−	0.0578894i
$79$	0.807328	−	4.18882i	0.0908315	−	0.471279i	−0.907820	−	0.419360i	$-0.862254\pi$
$79$	0.807328	−	4.18882i	0.0908315	−	0.471279i	0.998651	−	0.0519182i	$-0.0165335\pi$
$80$	−0.450880	+	0.232445i	−0.0504100	+	0.0259881i
$81$	−5.35275	−	7.23520i	−0.594750	−	0.803911i
$82$	10.4807	+	2.01999i	1.15740	+	0.223070i
$83$	5.95083	+	1.74732i	0.653188	+	0.191793i	0.591504	−	0.806302i	$-0.298535\pi$
$83$	5.95083	+	1.74732i	0.653188	+	0.191793i	0.0616846	+	0.998096i	$0.480353\pi$
$84$	4.43292	+	1.16155i	0.483671	+	0.126736i
$85$	−1.33522	−	1.54093i	−0.144825	−	0.167137i
$86$	−2.43515	+	3.41970i	−0.262589	+	0.368755i
$87$	−0.947344	+	1.41348i	−0.101566	+	0.151541i
$88$	−1.51720	+	1.08040i	−0.161735	+	0.115171i
$89$	−3.25836	+	1.30445i	−0.345385	+	0.138271i	−0.537868	−	0.843029i	$-0.680770\pi$
$89$	−3.25836	+	1.30445i	−0.345385	+	0.138271i	0.192483	+	0.981300i	$0.438346\pi$
$90$	−0.202893	+	1.50823i	−0.0213868	+	0.158981i
$91$	0.707766	−	1.10371i	0.0741940	−	0.115701i
$92$	−4.70053	−	0.951335i	−0.490064	−	0.0991835i
$93$	6.74348	−	1.16547i	0.699266	−	0.120854i
$94$	0.165144	+	3.46680i	0.0170333	+	0.357573i
$95$	2.34320	−	2.97962i	0.240407	−	0.305703i
$96$	1.67505	+	0.440689i	0.170959	+	0.0449776i
$97$	−2.09044	−	7.11938i	−0.212252	−	0.722863i	−0.994942	−	0.100452i	$-0.967971\pi$
$97$	−2.09044	−	7.11938i	−0.212252	−	0.722863i	0.782690	−	0.622412i	$-0.213847\pi$
$98$	−1.31110	+	6.87612i	−0.132441	+	0.694593i
$99$	0.0507254	+	5.58748i	0.00509810	+	0.561563i
$100$	−3.72800	+	2.93173i	−0.372800	+	0.293173i
$101$	−9.05627	−	9.49794i	−0.901133	−	0.945081i	0.0976093	−	0.995225i	$-0.468880\pi$
$101$	−9.05627	−	9.49794i	−0.901133	−	0.945081i	−0.998742	+	0.0501440i	$0.984032\pi$
$102$	−0.134083	+	6.96057i	−0.0132762	+	0.689199i
$103$	0.463055	+	0.0220580i	0.0456261	+	0.00217344i	0.0703826	−	0.997520i	$-0.477578\pi$
$103$	0.463055	+	0.0220580i	0.0456261	+	0.00217344i	−0.0247564	+	0.999694i	$0.507881\pi$
$104$	0.267925	−	0.416899i	0.0262722	−	0.0408803i
$105$	−2.31957	−	0.153005i	−0.226367	−	0.0149318i
$106$	0.0186158	−	0.0633995i	0.00180812	−	0.00615791i
$107$	5.14455	−	4.04572i	0.497342	−	0.391114i	−0.337740	−	0.941239i	$-0.609662\pi$
$107$	5.14455	−	4.04572i	0.497342	−	0.391114i	0.835082	+	0.550125i	$0.185420\pi$
$108$	3.96144	−	3.36259i	0.381189	−	0.323566i
$109$	0.825537	−	8.64542i	0.0790721	−	0.828081i	−0.865746	−	0.500484i	$-0.833155\pi$
$109$	0.825537	−	8.64542i	0.0790721	−	0.828081i	0.944818	−	0.327596i	$-0.106239\pi$
$110$	0.652006	−	0.683804i	0.0621663	−	0.0651981i
$111$	8.19317	−	8.26789i	0.777661	−	0.784753i
$112$	−0.498131	+	2.59844i	−0.0470690	+	0.245529i
$113$	−0.290822	+	0.186900i	−0.0273582	+	0.0175821i	−0.554248	−	0.832351i	$-0.686994\pi$
$113$	−0.290822	+	0.186900i	−0.0273582	+	0.0175821i	0.526890	+	0.849933i	$0.323358\pi$
$114$	−12.7538	+	2.20422i	−1.19450	+	0.206445i
$115$	2.43268	+	0.0226051i	0.226849	+	0.00210793i
$116$	−0.850792	−	0.491205i	−0.0789940	−	0.0456072i
$117$	−0.565059	−	1.37514i	−0.0522398	−	0.127131i
$118$	−0.144769	+	1.00689i	−0.0133270	+	0.0926915i
$119$	−10.6219	+	0.516556i	−0.973705	+	0.0473526i
$120$	−0.876656	−	0.0587014i	−0.0800274	−	0.00535868i
$121$	−4.36831	+	6.13444i	−0.397119	+	0.557676i
$122$	−12.8129	+	2.46949i	−1.16003	+	0.223577i
$123$	13.7359	+	12.3734i	1.23853	+	1.11567i
$124$	0.931499	+	3.83969i	0.0836511	+	0.344815i
$125$	3.23644	−	3.73505i	0.289476	−	0.334073i
$126$	5.53491	+	5.68901i	0.493089	+	0.506817i
$127$	−2.41458	−	1.55176i	−0.214260	−	0.137696i	0.429109	−	0.903253i	$-0.358828\pi$
$127$	−2.41458	−	1.55176i	−0.214260	−	0.137696i	−0.643369	+	0.765556i	$0.722464\pi$
$128$	−0.189251	+	0.981929i	−0.0167276	+	0.0867911i
$129$	−6.67123	+	2.89269i	−0.587369	+	0.254687i
$130$	−0.0934313	+	0.233380i	−0.00819447	+	0.0204688i
$131$	−15.5687	−	5.38838i	−1.36024	−	0.470785i	−0.453046	−	0.891487i	$-0.649663\pi$
$131$	−15.5687	−	5.38838i	−1.36024	−	0.470785i	−0.907199	+	0.420702i	$0.861784\pi$
$132$	−3.21677	+	0.244749i	−0.279984	+	0.0213026i
$133$	−4.68016	−	19.2086i	−0.405821	−	1.66559i
$134$	−6.25319	+	13.6926i	−0.540193	+	1.18286i
$135$	−1.65039	+	2.05523i	−0.142043	+	0.176886i
$136$	−4.01488	+	0.191252i	−0.344273	+	0.0163997i
$137$	0.287389	−	0.497773i	0.0245533	−	0.0425276i	−0.853488	−	0.521113i	$-0.825517\pi$
$137$	0.287389	−	0.497773i	0.0245533	−	0.0425276i	0.878041	+	0.478585i	$0.158850\pi$
$138$	−6.11987	−	5.61669i	−0.520958	−	0.478124i
$139$	20.3339			1.72470			0.862349	−	0.506314i	$-0.168992\pi$
$139$	20.3339			1.72470			0.862349	+	0.506314i	$0.168992\pi$
$140$	−0.00133305	−	1.34211i	−0.000112663	−	0.113429i
$141$	−2.85702	+	5.28918i	−0.240605	+	0.445429i
$142$	−9.05077	+	0.864244i	−0.759524	+	0.0725257i
$143$	−0.217613	+	0.897012i	−0.0181977	+	0.0750119i
$144$	2.08986	+	2.15232i	0.174155	+	0.179360i
$145$	0.470939	+	0.162994i	0.0391094	+	0.0135359i
$146$	4.08410	−	0.587205i	0.338003	−	0.0485974i
$147$	−8.09686	+	9.02446i	−0.667817	+	0.744325i
$148$	5.07884	+	4.40084i	0.417478	+	0.361747i
$149$	−0.603251	+	12.6638i	−0.0494202	+	1.03746i	0.828903	+	0.559392i	$0.188965\pi$
$149$	−0.603251	+	12.6638i	−0.0494202	+	1.03746i	−0.878324	+	0.478066i	$0.841338\pi$
$150$	−8.15195	+	1.01224i	−0.665604	+	0.0826488i
$151$	−4.26100	−	12.3113i	−0.346755	−	1.00188i	−0.974679	−	0.223609i	$-0.928216\pi$
$151$	−4.26100	−	12.3113i	−0.346755	−	1.00188i	0.627924	−	0.778275i	$-0.283905\pi$
$152$	−1.76172	−	7.26191i	−0.142894	−	0.589019i
$153$	−6.42685	+	10.2028i	−0.519580	+	0.824851i
$154$	−0.706157	−	4.87704i	−0.0569038	−	0.393003i
$155$	−0.832600	−	1.82314i	−0.0668761	−	0.146438i
$156$	0.770365	−	0.378552i	0.0616786	−	0.0303084i
$157$	−2.20472	+	1.56998i	−0.175956	+	0.125298i	−0.664642	−	0.747162i	$-0.731416\pi$
$157$	−2.20472	+	1.56998i	−0.175956	+	0.125298i	0.488686	+	0.872460i	$0.337476\pi$
$158$	3.35323	+	2.63701i	0.266769	+	0.209789i
$159$	0.0843350	−	0.0773676i	0.00668820	−	0.00613565i
$160$		−	0.507271i		−	0.0401033i
$161$	7.92606	−	9.90846i	0.624661	−	0.780896i
$162$	8.88367	−	1.44236i	0.697967	−	0.113322i
$163$	12.7151	+	6.55509i	0.995924	+	0.513435i	0.877525	−	0.479531i	$-0.159193\pi$
$163$	12.7151	+	6.55509i	0.995924	+	0.513435i	0.118400	+	0.992966i	$0.462224\pi$
$164$	−6.59797	+	8.39000i	−0.515215	+	0.655149i
$165$	1.57879	−	0.430725i	0.122909	−	0.0335319i
$166$	−4.27991	+	4.48864i	−0.332185	+	0.348386i
$167$	−6.48936	+	2.96359i	−0.502162	+	0.229330i	−0.650357	−	0.759628i	$-0.725381\pi$
$167$	−6.48936	+	2.96359i	−0.502162	+	0.229330i	0.148195	+	0.988958i	$0.452654\pi$
$168$	−3.06371	+	3.40788i	−0.236370	+	0.262924i
$169$	1.81514	+	12.6246i	0.139626	+	0.971122i
$170$	1.98147	−	0.480699i	0.151972	−	0.0368679i
$171$	−20.8866	−	8.14253i	−1.59724	−	0.622675i
$172$	−1.92369	−	3.73145i	−0.146680	−	0.284520i
$173$	−17.2320	−	0.820861i	−1.31012	−	0.0624089i	−0.619141	−	0.785280i	$-0.712519\pi$
$173$	−17.2320	−	0.820861i	−1.31012	−	0.0624089i	−0.690983	+	0.722871i	$0.742822\pi$
$174$	−0.822252	−	1.48973i	−0.0623348	−	0.112936i
$175$	−2.38695	−	12.3188i	−0.180436	−	0.931215i
$176$	−0.265071	−	1.84361i	−0.0199805	−	0.138967i
$177$	−1.11561	+	1.36372i	−0.0838547	+	0.102504i
$178$	0.333625	−	3.49388i	0.0250062	−	0.261877i
$179$	−2.87183	−	0.696698i	−0.214651	−	0.0520737i	0.126992	−	0.991904i	$-0.459468\pi$
$179$	−2.87183	−	0.696698i	−0.214651	−	0.0520737i	−0.341642	+	0.939830i	$0.610983\pi$
$180$	−1.24759	−	0.871448i	−0.0929902	−	0.0649539i
$181$	−11.4827	−	1.65096i	−0.853500	−	0.122715i	−0.298341	−	0.954459i	$-0.596433\pi$
$181$	−11.4827	−	1.65096i	−0.853500	−	0.122715i	−0.555159	+	0.831744i	$0.687343\pi$
$182$	0.656703	+	1.13484i	0.0486781	+	0.0841198i
$183$	−21.2117	−	7.80208i	−1.56802	−	0.576746i
$184$	2.99949	−	3.74207i	0.221125	−	0.275869i
$185$	−2.95228	−	1.70450i	−0.217056	−	0.125317i
$186$	−2.05413	+	6.52789i	−0.150616	+	0.478648i
$187$	6.95020	−	2.78244i	0.508249	−	0.203472i
$188$	−3.15709	−	1.44180i	−0.230255	−	0.105154i
$189$	3.11824	+	13.3894i	0.226819	+	0.973937i
$190$	1.57468	+	3.44806i	0.114239	+	0.250148i
$191$	8.12551	−	23.4771i	0.587942	−	1.69875i	−0.120267	−	0.992742i	$-0.538375\pi$
$191$	8.12551	−	23.4771i	0.587942	−	1.69875i	0.708208	−	0.706004i	$-0.249504\pi$
$192$	−1.15925	+	1.28691i	−0.0836618	+	0.0928746i
$193$	11.4718	−	10.9383i	0.825755	−	0.787356i	−0.153891	−	0.988088i	$-0.549180\pi$
$193$	11.4718	−	10.9383i	0.825755	−	0.787356i	0.979646	+	0.200732i	$0.0643319\pi$
$194$	7.28585	+	1.40423i	0.523093	+	0.100818i
$195$	−0.347380	+	0.262515i	−0.0248764	+	0.0187991i
$196$	−5.51096	−	4.31617i	−0.393640	−	0.308298i
$197$	16.9974	+	14.7283i	1.21101	+	1.04935i	0.997373	+	0.0724354i	$0.0230771\pi$
$197$	16.9974	+	14.7283i	1.21101	+	1.04935i	0.213639	+	0.976913i	$0.431468\pi$
$198$	−4.98959	−	2.51524i	−0.354595	−	0.178751i
$199$	−4.30565	+	10.7550i	−0.305219	+	0.762401i	0.693885	+	0.720086i	$0.255898\pi$
$199$	−4.30565	+	10.7550i	−0.305219	+	0.762401i	−0.999104	+	0.0423152i	$0.986527\pi$
$200$	−0.897557	−	4.65697i	−0.0634669	−	0.329297i
$201$	−21.5252	+	14.7116i	−1.51827	+	1.03768i
$202$	12.5919	−	3.69733i	0.885965	−	0.260143i
$203$	2.18520	−	1.40741i	0.153371	−	0.0987809i
$204$	−6.12536	−	3.30870i	−0.428861	−	0.231655i
$205$	2.48102	−	4.81250i	0.173282	−	0.336120i
$206$	−0.231790	+	0.401472i	−0.0161496	+	0.0279719i
$207$	−4.05047	−	13.8056i	−0.281527	−	0.959553i
$208$	0.247784	+	0.429175i	0.0171807	+	0.0297579i
$209$	7.52472	+	11.7087i	0.520496	+	0.809907i
$210$	1.19888	−	1.99160i	0.0827308	−	0.137434i
$211$	11.9550	−	26.1779i	0.823019	−	1.80216i	0.287074	−	0.957908i	$-0.407317\pi$
$211$	11.9550	−	26.1779i	0.823019	−	1.80216i	0.535945	−	0.844253i	$-0.319955\pi$
$212$	0.0478215	+	0.0455977i	0.00328439	+	0.00313166i
$213$	−14.1960	−	6.81650i	−0.972691	−	0.467059i
$214$	1.23861	+	6.42651i	0.0846695	+	0.439307i
$215$	1.31642	+	1.67397i	0.0897794	+	0.114164i
$216$	1.17356	+	5.06189i	0.0798505	+	0.344418i
$217$	−10.1613	−	2.45442i	−0.689795	−	0.166617i
$218$	7.30607	+	4.69533i	0.494830	+	0.318008i
$219$	6.58230	+	2.78342i	0.444791	+	0.188086i
$220$	0.309023	+	0.892863i	0.0208343	+	0.0601968i
$221$	−1.44161	+	1.37457i	−0.0969731	+	0.0924637i
$222$	3.59446	+	11.0709i	0.241245	+	0.743033i
$223$	2.71571	+	3.13409i	0.181857	+	0.209874i	0.839357	−	0.543580i	$-0.182932\pi$
$223$	2.71571	+	3.13409i	0.181857	+	0.209874i	−0.657500	+	0.753454i	$0.728386\pi$
$224$	−2.08132	−	1.63343i	−0.139064	−	0.109138i
$225$	−12.9954	−	5.79280i	−0.866360	−	0.386187i
$226$	−0.0328609	−	0.344135i	−0.00218588	−	0.0228915i
$227$	−15.3261	−	12.0526i	−1.01723	−	0.799957i	−0.0372995	−	0.999304i	$-0.511876\pi$
$227$	−15.3261	−	12.0526i	−1.01723	−	0.799957i	−0.979929	+	0.199347i	$0.936118\pi$
$228$	3.88492	−	12.3460i	0.257285	−	0.817636i
$229$	−15.3979	+	8.88996i	−1.01752	+	0.587465i	−0.913385	−	0.407098i	$-0.866541\pi$
$229$	−15.3979	+	8.88996i	−1.01752	+	0.587465i	−0.104135	+	0.994563i	$0.533207\pi$
$230$	−1.13481	+	2.15189i	−0.0748272	+	0.141892i
$231$	3.31649	−	7.86469i	0.218209	−	0.517459i
$232$	0.826455	−	0.531131i	0.0542595	−	0.0348704i
$233$	0.763753	+	1.90776i	0.0500351	+	0.124982i	0.951280	−	0.308329i	$-0.0997696\pi$
$233$	0.763753	+	1.90776i	0.0500351	+	0.124982i	−0.901245	+	0.433310i	$0.857345\pi$
$234$	1.48120	+	0.127879i	0.0968288	+	0.00835973i
$235$	1.71097	+	0.415078i	0.111612	+	0.0270767i
$236$	−0.828620	−	0.590058i	−0.0539386	−	0.0384095i
$237$	2.61351	+	6.91111i	0.169765	+	0.448925i
$238$	4.40809	−	9.67779i	0.285734	−	0.627318i
$239$	−7.92979	+	27.0064i	−0.512936	+	1.74690i	0.140663	+	0.990057i	$0.455076\pi$
$239$	−7.92979	+	27.0064i	−0.512936	+	1.74690i	−0.653599	+	0.756841i	$0.726742\pi$
$240$	0.453883	−	0.752304i	0.0292980	−	0.0485610i
$241$	2.95596	+	5.73376i	0.190410	+	0.369344i	0.964644	−	0.263555i	$-0.0848951\pi$
$241$	2.95596	+	5.73376i	0.190410	+	0.369344i	−0.774234	+	0.632899i	$0.781865\pi$
$242$	−3.45083	−	6.69367i	−0.221828	−	0.430286i
$243$	14.4654	+	5.80963i	0.927957	+	0.372688i
$244$	3.67626	−	12.5202i	0.235348	−	0.801523i
$245$	3.15939	+	1.62084i	0.201846	+	0.103552i
$246$	−17.2920	+	6.53916i	−1.10250	+	0.416922i
$247$	−3.01651	−	2.14804i	−0.191936	−	0.136677i
$248$	−3.83969	−	0.931499i	−0.243821	−	0.0591503i
$249$	−10.3635	+	2.82737i	−0.656761	+	0.179178i
$250$	1.83682	+	4.58816i	0.116171	+	0.290181i
$251$	−13.6945	+	8.80090i	−0.864387	+	0.555508i	−0.896031	−	0.443991i	$-0.853562\pi$
$251$	−13.6945	+	8.80090i	−0.864387	+	0.555508i	0.0316439	+	0.999499i	$0.489926\pi$
$252$	−7.59283	+	2.31277i	−0.478303	+	0.145691i
$253$	−2.99987	+	8.41378i	−0.188600	+	0.528970i
$254$	2.48569	−	1.43511i	0.155966	−	0.0900469i
$255$	3.36871	+	1.06003i	0.210957	+	0.0663816i
$256$	−0.786053	−	0.618159i	−0.0491283	−	0.0386349i
$257$	−2.84188	−	29.7615i	−0.177272	−	1.85647i	−0.448276	−	0.893895i	$-0.647962\pi$
$257$	−2.84188	−	29.7615i	−0.177272	−	1.85647i	0.271005	−	0.962578i	$-0.412644\pi$
$258$	0.485807	−	7.25513i	0.0302451	−	0.451685i
$259$	−16.5000	+	6.62461i	−1.02526	+	0.411633i
$260$	−0.164624	−	0.189986i	−0.0102095	−	0.0117824i
$261$	0.113504	−	2.94504i	0.00702574	−	0.182294i
$262$	11.9234	−	11.3689i	0.736629	−	0.702374i
$263$	−5.34073	−	15.4310i	−0.329323	−	0.951517i	−0.981167	−	0.193164i	$-0.938125\pi$
$263$	−5.34073	−	15.4310i	−0.329323	−	0.951517i	0.651843	−	0.758354i	$-0.273996\pi$
$264$	1.25647	−	2.97133i	0.0773302	−	0.182873i
$265$	−0.0281975	−	0.0181214i	−0.00173216	−	0.00111319i
$266$	19.2178	+	4.64199i	1.17832	+	0.284619i
$267$	3.62094	−	4.88305i	0.221598	−	0.298838i
$268$	−9.30506	−	11.8324i	−0.568397	−	0.722776i
$269$	1.88994	+	9.80593i	0.115232	+	0.597878i	0.992934	+	0.118671i	$0.0378634\pi$
$269$	1.88994	+	9.80593i	0.115232	+	0.597878i	−0.877702	+	0.479207i	$0.840924\pi$
$270$	−1.07050	−	2.40869i	−0.0651488	−	0.146588i
$271$	11.8770	+	11.3247i	0.721477	+	0.687927i	0.958984	−	0.283459i	$-0.0914819\pi$
$271$	11.8770	+	11.3247i	0.721477	+	0.687927i	−0.237507	+	0.971386i	$0.576330\pi$
$272$	1.66973	−	3.65620i	0.101242	−	0.221690i
$273$	−0.0414831	+	2.27060i	−0.00251067	+	0.137423i
$274$	0.310749	+	0.483535i	0.0187730	+	0.0292114i
$275$	4.41678	+	7.65009i	0.266342	+	0.461318i
$276$	7.79660	−	2.86584i	0.469300	−	0.172504i
$277$	−1.90307	+	3.29622i	−0.114344	+	0.198050i	−0.917518	−	0.397695i	$-0.869810\pi$
$277$	−1.90307	+	3.29622i	−0.114344	+	0.198050i	0.803173	+	0.595746i	$0.203143\pi$
$278$	−9.31753	+	18.0735i	−0.558828	+	1.08398i
$279$	−8.88722	+	7.84320i	−0.532064	+	0.469560i
$280$	1.19353	+	0.613806i	0.0713269	+	0.0366820i
$281$	−14.5897	+	4.28391i	−0.870347	+	0.255557i	−0.686263	−	0.727354i	$-0.740750\pi$
$281$	−14.5897	+	4.28391i	−0.870347	+	0.255557i	−0.184084	+	0.982911i	$0.558932\pi$
$282$	−3.39205	−	4.96306i	−0.201993	−	0.295546i
$283$	5.76802	+	29.9273i	0.342873	+	1.77899i	0.587344	+	0.809338i	$0.300174\pi$
$283$	5.76802	+	29.9273i	0.342873	+	1.77899i	−0.244471	+	0.969657i	$0.578614\pi$
$284$	3.37913	−	8.44066i	0.200515	−	0.500861i
$285$	−0.749855	+	6.52257i	−0.0444175	+	0.386363i
$286$	−0.697580	−	0.604457i	−0.0412488	−	0.0357423i
$287$	−11.7567	−	25.6760i	−0.693974	−	1.51561i
$288$	−2.87069	+	0.871294i	−0.169157	+	0.0513415i
$289$	−0.828913	−	0.159760i	−0.0487596	−	0.00939764i
$290$	−0.360671	+	0.343899i	−0.0211793	+	0.0201945i
$291$	9.54878	+	8.60158i	0.559759	+	0.504234i
$292$	−1.34951	+	3.89917i	−0.0789744	+	0.228182i
$293$	−7.00472	−	15.3382i	−0.409220	−	0.896067i	−0.996252	−	0.0865031i	$-0.972431\pi$
$293$	−7.00472	−	15.3382i	−0.409220	−	0.896067i	0.587031	−	0.809564i	$-0.300297\pi$
$294$	−4.31107	−	11.3320i	−0.251427	−	0.660897i
$295$	0.469385	+	0.214361i	0.0273287	+	0.0124806i
$296$	−6.23888	+	2.49767i	−0.362627	+	0.145174i
$297$	−5.14925	−	8.19467i	−0.298790	−	0.475503i
$298$	−10.9796	−	6.33907i	−0.636031	−	0.367213i
$299$	−0.0910227	−	2.37492i	−0.00526398	−	0.137345i
$300$	2.83573	−	7.70958i	0.163721	−	0.445113i
$301$	11.1072	−	0.0110322i	0.640209	−	0.000635886i
$302$	12.8953	+	1.85406i	0.742039	+	0.106689i
$303$	21.9826	+	5.78340i	1.26287	+	0.332247i
$304$	7.26191	+	1.76172i	0.416499	+	0.101042i
$305$	−0.629200	+	6.58928i	−0.0360279	+	0.377301i
$306$	−6.12370	−	10.3876i	−0.350069	−	0.593821i
$307$	−0.187820	−	1.30632i	−0.0107195	−	0.0745554i	0.983760	−	0.179492i	$-0.0574453\pi$
$307$	−0.187820	−	1.30632i	−0.0107195	−	0.0745554i	−0.994479	+	0.104936i	$0.966536\pi$
$308$	4.65846	+	1.60713i	0.265441	+	0.0915748i
$309$	−0.702973	+	0.388005i	−0.0399907	+	0.0220728i
$310$	2.00199	+	0.0953666i	0.113705	+	0.00541646i
$311$	1.61639	+	3.13536i	0.0916571	+	0.177790i	0.930208	−	0.367034i	$-0.119627\pi$
$311$	1.61639	+	3.13536i	0.0916571	+	0.177790i	−0.838550	+	0.544824i	$0.816596\pi$
$312$	−0.0165315	+	0.858191i	−0.000935914	+	0.0485855i
$313$	−17.4015	+	4.22155i	−0.983589	+	0.238616i	−0.695136	−	0.718878i	$-0.744656\pi$
$313$	−17.4015	+	4.22155i	−0.983589	+	0.238616i	−0.288452	+	0.957494i	$0.593141\pi$
$314$	−0.385188	−	2.67904i	−0.0217374	−	0.151187i
$315$	3.55999	−	1.88092i	0.200583	−	0.105978i
$316$	−3.88041	+	1.77212i	−0.218290	+	0.0996896i
$317$	7.85448	−	8.23754i	0.441151	−	0.462666i	−0.465191	−	0.885210i	$-0.654014\pi$
$317$	7.85448	−	8.23754i	0.441151	−	0.462666i	0.906342	+	0.422544i	$0.138863\pi$
$318$	0.0301226	+	0.110412i	0.00168919	+	0.00619159i
$319$	−1.13111	+	1.43832i	−0.0633301	+	0.0805307i
$320$	0.450880	+	0.232445i	0.0252050	+	0.0129941i
$321$	−3.91324	+	10.6390i	−0.218416	+	0.593813i
$322$	5.17506	+	11.5853i	0.288395	+	0.645622i
$323$			30.0354i			1.67122i
$324$	−2.78872	+	8.55705i	−0.154929	+	0.475392i
$325$	−1.84748	−	1.45287i	−0.102480	−	0.0805908i
$326$	−11.6528	+	8.29792i	−0.645389	+	0.459579i
$327$	6.63405	+	13.5005i	0.366864	+	0.746580i
$328$	−4.43396	−	9.70902i	−0.244825	−	0.536091i
$329$	7.21245	−	5.68353i	0.397635	−	0.313343i
$330$	−0.340599	+	1.60065i	−0.0187493	+	0.0881130i
$331$	1.60729	+	6.62536i	0.0883449	+	0.364163i	0.998774	−	0.0495026i	$-0.0157636\pi$
$331$	1.60729	+	6.62536i	0.0883449	+	0.364163i	−0.910429	+	0.413665i	$0.864248\pi$
$332$	−2.02849	−	5.86095i	−0.111328	−	0.321661i
$333$	−4.57503	+	19.6348i	−0.250710	+	1.07598i
$334$	0.339452	−	7.12597i	0.0185740	−	0.389916i
$335$	5.77081	+	5.00044i	0.315293	+	0.273203i
$336$	−1.62518	−	4.28472i	−0.0886606	−	0.233751i
$337$	11.4652	−	1.64844i	0.624547	−	0.0897963i	0.177226	−	0.984170i	$-0.443287\pi$
$337$	11.4652	−	1.64844i	0.624547	−	0.0897963i	0.447320	+	0.894374i	$0.352378\pi$
$338$	−12.0529	−	4.17156i	−0.655593	−	0.226903i
$339$	0.259182	−	0.539770i	0.0140769	−	0.0293163i
$340$	−0.480699	+	1.98147i	−0.0260695	+	0.107460i
$341$	7.32582	−	0.699531i	0.396715	−	0.0378817i
$342$	16.8082	−	14.8336i	0.908882	−	0.802111i
$343$	16.8236	−	7.74376i	0.908390	−	0.418124i
$344$	4.19813			0.226348
$345$	−3.60839	+	2.17597i	−0.194269	+	0.117151i
$346$	8.62577	−	14.9403i	0.463724	−	0.803194i
$347$	10.3194	−	0.491573i	0.553974	−	0.0263890i	0.231271	−	0.972889i	$-0.425712\pi$
$347$	10.3194	−	0.491573i	0.553974	−	0.0263890i	0.322703	+	0.946500i	$0.395409\pi$
$348$	1.70090	−	0.0482148i	0.0911778	−	0.00258458i
$349$	−9.61027	+	21.0436i	−0.514426	+	1.12644i	0.457081	+	0.889425i	$0.348895\pi$
$349$	−9.61027	+	21.0436i	−0.514426	+	1.12644i	−0.971507	+	0.237011i	$0.923832\pi$
$350$	12.0432	+	3.52320i	0.643734	+	0.188323i
$351$	2.08226	+	1.51496i	0.111143	+	0.0808624i
$352$	1.76013	+	0.609187i	0.0938152	+	0.0324698i
$353$	0.848699	−	2.11995i	0.0451717	−	0.112833i	−0.904066	−	0.427392i	$-0.859432\pi$
$353$	0.848699	−	2.11995i	0.0451717	−	0.112833i	0.949238	+	0.314559i	$0.101857\pi$
$354$	−0.700922	−	1.61649i	−0.0372536	−	0.0859156i
$355$	−0.872841	+	4.52873i	−0.0463256	+	0.240360i
$356$	2.95261	+	1.89752i	0.156488	+	0.100569i
$357$	15.1966	−	10.4084i	0.804291	−	0.550872i
$358$	1.93520	−	2.23334i	0.102278	−	0.118036i
$359$	−4.66557	−	19.2317i	−0.246239	−	1.01501i	−0.951887	−	0.306449i	$-0.900859\pi$
$359$	−4.66557	−	19.2317i	−0.246239	−	1.01501i	0.705648	−	0.708563i	$-0.250656\pi$
$360$	1.34626	−	0.709586i	0.0709539	−	0.0373984i
$361$	−36.1733	+	6.97183i	−1.90386	+	0.366939i
$362$	6.72910	−	9.44969i	0.353673	−	0.496665i
$363$	0.871468	−	13.0146i	0.0457402	−	0.683092i
$364$	−1.30960	+	0.0636879i	−0.0686419	+	0.00333815i
$365$	0.297872	−	2.07175i	0.0155913	−	0.108440i
$366$	16.6545	−	15.2786i	0.870547	−	0.798626i
$367$	4.97973	+	2.87505i	0.259940	+	0.150076i	0.624307	−	0.781179i	$-0.285381\pi$
$367$	4.97973	+	2.87505i	0.259940	+	0.150076i	−0.364367	+	0.931255i	$0.618715\pi$
$368$	1.95164	+	4.38077i	0.101736	+	0.228363i
$369$	−31.4958	−	5.77428i	−1.63960	−	0.300597i
$370$	2.86783	−	1.84304i	0.149091	−	0.0958152i
$371$	−0.165149	+	0.0573424i	−0.00857411	+	0.00297707i
$372$	−4.86096	−	4.81704i	−0.252029	−	0.249752i
$373$	17.0101	−	17.8397i	0.880751	−	0.923705i	−0.116835	−	0.993151i	$-0.537275\pi$
$373$	17.0101	−	17.8397i	0.880751	−	0.923705i	0.997586	+	0.0694465i	$0.0221233\pi$
$374$	−0.711634	+	7.45257i	−0.0367977	+	0.385363i
$375$	−1.38119	+	8.44794i	−0.0713243	+	0.436250i
$376$	2.72818	−	2.14547i	0.140695	−	0.110644i
$377$	0.137162	−	0.467130i	0.00706419	−	0.0240584i
$378$	−13.3299	−	3.36378i	−0.685614	−	0.173014i
$379$	4.77421	−	7.42881i	0.245235	−	0.381592i	−0.696714	−	0.717349i	$-0.745355\pi$
$379$	4.77421	−	7.42881i	0.245235	−	0.381592i	0.941949	+	0.335756i	$0.108992\pi$
$380$	−3.78632	−	0.180364i	−0.194234	−	0.00925250i
$381$	4.97045	+	0.0957470i	0.254644	+	0.00490527i
$382$	17.1440	+	17.9801i	0.877162	+	0.919941i
$383$	23.7906	−	18.7091i	1.21564	−	0.955991i	0.215851	−	0.976426i	$-0.430748\pi$
$383$	23.7906	−	18.7091i	1.21564	−	0.955991i	0.999791	+	0.0204350i	$0.00650511\pi$
$384$	−0.612650	−	1.62008i	−0.0312641	−	0.0826744i
$385$	−2.47469	−	0.353298i	−0.126122	−	0.0180057i
$386$	4.46569	+	15.2087i	0.227297	+	0.774104i
$387$	7.21203	−	10.3250i	0.366608	−	0.524848i
$388$	−4.58670	+	5.83246i	−0.232854	+	0.296099i
$389$	0.921354	+	19.3416i	0.0467145	+	0.980659i	0.893595	+	0.448875i	$0.148175\pi$
$389$	0.921354	+	19.3416i	0.0467145	+	0.980659i	−0.846880	+	0.531784i	$0.821522\pi$
$390$	−0.0741533	−	0.429055i	−0.00375490	−	0.0217261i
$391$	−15.2624	+	11.7746i	−0.771854	+	0.595469i
$392$	6.36163	−	2.92055i	0.321311	−	0.147510i
$393$	27.8553	−	6.19210i	1.40511	−	0.312350i
$394$	−20.8797	+	8.35896i	−1.05190	+	0.421118i
$395$	1.76272	−	1.25523i	0.0886920	−	0.0631573i
$396$	4.52200	−	3.28238i	0.227239	−	0.164946i
$397$	−6.23102	+	8.75025i	−0.312726	+	0.439162i	−0.940785	−	0.339003i	$-0.889910\pi$
$397$	−6.23102	+	8.75025i	−0.312726	+	0.439162i	0.628059	+	0.778166i	$0.283850\pi$
$398$	−7.58645	−	8.75523i	−0.380275	−	0.438860i
$399$	24.3474	+	24.0795i	1.21890	+	1.20548i
$400$	4.55056	+	1.33617i	0.227528	+	0.0668083i
$401$	28.7593	+	5.54290i	1.43617	+	0.276799i	0.847165	−	0.531329i	$-0.178307\pi$
$401$	28.7593	+	5.54290i	1.43617	+	0.276799i	0.589006	+	0.808129i	$0.299519\pi$
$402$	−3.21276	−	25.8736i	−0.160238	−	1.29046i
$403$	−1.74036	+	0.897219i	−0.0866936	+	0.0446937i
$404$	−2.48364	+	12.8864i	−0.123566	+	0.641121i
$405$	0.567579	−	4.53002i	0.0282032	−	0.225099i
$406$	0.249641	+	2.58720i	0.0123895	+	0.128400i
$407$	9.45969	−	8.19687i	0.468899	−	0.406304i
$408$	5.74769	−	3.92831i	0.284553	−	0.194480i
$409$	−2.09936	+	8.65369i	−0.103807	+	0.427898i	−0.999872	−	0.0160258i	$-0.994899\pi$
$409$	−2.09936	+	8.65369i	−0.103807	+	0.427898i	0.896065	+	0.443923i	$0.146414\pi$
$410$	3.14066	+	4.41043i	0.155106	+	0.217816i
$411$	0.0282090	+	0.995146i	0.00139145	+	0.0490869i
$412$	−0.250630	−	0.389988i	−0.0123477	−	0.0192133i
$413$	2.39096	−	1.23563i	0.117651	−	0.0608014i
$414$	14.1269	+	2.72587i	0.694300	+	0.133969i
$415$	1.57306	+	2.72462i	0.0772185	+	0.133746i
$416$	−0.495007	+	0.0235801i	−0.0242697	+	0.00115611i
$417$	−29.9896	+	18.4668i	−1.46860	+	0.904325i
$418$	−13.8551	+	1.32300i	−0.677676	+	0.0647102i
$419$	23.5905	−	6.92680i	1.15247	−	0.338396i	0.350969	−	0.936387i	$-0.385852\pi$
$419$	23.5905	−	6.92680i	1.15247	−	0.338396i	0.801503	+	0.597991i	$0.204034\pi$
$420$	1.22085	+	1.97822i	0.0595712	+	0.0965270i
$421$	−23.6610	+	20.5023i	−1.15316	+	0.999223i	−0.153226	+	0.988191i	$0.548966\pi$
$421$	−23.6610	+	20.5023i	−1.15316	+	0.999223i	−0.999939	+	0.0110317i	$0.996488\pi$
$422$	17.7897	+	22.6215i	0.865990	+	1.10120i
$423$	−0.589827	−	10.3955i	−0.0286784	−	0.505446i
$424$	−0.0624419	+	0.0216114i	−0.00303245	+	0.00104954i
$425$	−0.907048	+	19.0413i	−0.0439983	+	0.923637i
$426$	12.5637	−	9.49437i	0.608714	−	0.460004i
$427$	25.0097	+	23.7993i	1.21030	+	1.15173i
$428$	−6.27967	−	1.84388i	−0.303539	−	0.0891272i
$429$	−0.493701	−	1.52060i	−0.0238361	−	0.0734151i
$430$	−2.09111	+	0.403027i	−0.100842	+	0.0194357i
$431$	−6.50946	−	0.621578i	−0.313550	−	0.0299404i	−0.0629051	−	0.998020i	$-0.520037\pi$
$431$	−6.50946	−	0.621578i	−0.313550	−	0.0299404i	−0.250645	+	0.968079i	$0.580643\pi$
$432$	−5.03695	−	1.27639i	−0.242340	−	0.0614106i
$433$	−14.1361	−	6.45575i	−0.679339	−	0.310244i	0.0456964	−	0.998955i	$-0.485449\pi$
$433$	−14.1361	−	6.45575i	−0.679339	−	0.310244i	−0.725035	+	0.688712i	$0.758177\pi$
$434$	6.83776	−	7.90706i	0.328223	−	0.379551i
$435$	−0.842596	+	0.187305i	−0.0403994	+	0.00898060i
$436$	−7.52121	+	4.34237i	−0.360201	+	0.207962i
$437$	−26.8646	−	23.7190i	−1.28511	−	1.13463i
$438$	−5.49018	+	4.57515i	−0.262331	+	0.218609i
$439$	−11.5449	−	5.95183i	−0.551010	−	0.284065i	0.160153	−	0.987092i	$-0.448801\pi$
$439$	−11.5449	−	5.95183i	−0.551010	−	0.284065i	−0.711163	+	0.703027i	$0.751831\pi$
$440$	−0.935210	−	0.134463i	−0.0445844	−	0.00641027i
$441$	3.74588	−	20.6632i	0.178375	−	0.983963i
$442$	−0.561184	−	1.91122i	−0.0266928	−	0.0909074i
$443$	16.2458	+	11.5686i	0.771861	+	0.549640i	0.896753	−	0.442531i	$-0.145919\pi$
$443$	16.2458	+	11.5686i	0.771861	+	0.549640i	−0.124893	+	0.992170i	$0.539859\pi$
$444$	−11.4873	−	1.87811i	−0.545164	−	0.0891313i
$445$	−1.65287	−	0.661709i	−0.0783535	−	0.0313680i
$446$	−4.03010	+	0.977693i	−0.190831	+	0.0462951i
$447$	−10.6113	−	19.2252i	−0.501897	−	0.909319i
$448$	2.40557	−	1.10147i	0.113652	−	0.0520398i
$449$	2.07388	−	3.22703i	0.0978726	−	0.152293i	−0.788864	−	0.614568i	$-0.789330\pi$
$449$	2.07388	−	3.22703i	0.0978726	−	0.152293i	0.886737	+	0.462275i	$0.152967\pi$
$450$	11.1037	−	8.89635i	0.523433	−	0.419378i
$451$	13.7190	+	14.3880i	0.646001	+	0.677506i
$452$	0.320937	+	0.128484i	0.0150956	+	0.00604338i
$453$	17.4653	+	14.2877i	0.820591	+	0.671297i
$454$	17.7356	−	8.09957i	0.832372	−	0.380131i
$455$	0.646204	−	0.157447i	0.0302945	−	0.00738124i
$456$	9.19342	+	9.11033i	0.430521	+	0.426630i
$457$	−11.7829	−	29.4324i	−0.551183	−	1.37679i	−0.898472	−	0.439030i	$-0.855322\pi$
$457$	−11.7829	−	29.4324i	−0.551183	−	1.37679i	0.347289	−	0.937758i	$-0.387102\pi$
$458$	−0.846003	−	17.7598i	−0.0395311	−	0.829860i
$459$	0.212668	−	20.8845i	0.00992649	−	0.974805i
$460$	−1.39268	−	1.99472i	−0.0649340	−	0.0930041i
$461$		−	15.7551i		−	0.733788i	−0.930263	−	0.366894i	$-0.880421\pi$
$461$		−	15.7551i		−	0.733788i	0.930263	−	0.366894i	$-0.119579\pi$
$462$	5.47071	+	6.55162i	0.254521	+	0.304809i
$463$	−0.550700	+	3.83020i	−0.0255932	+	0.178004i	−0.998608	−	0.0527361i	$-0.983206\pi$
$463$	−0.550700	+	3.83020i	−0.0255932	+	0.178004i	0.973015	+	0.230741i	$0.0741149\pi$
$464$	0.0933840	+	0.977961i	0.00433524	+	0.0454007i
$465$	2.88371	+	1.93272i	0.133729	+	0.0896279i
$466$	−2.04566	−	0.195337i	−0.0947634	−	0.00904880i
$467$	−0.332115	+	0.959582i	−0.0153684	+	0.0444042i	−0.952424	−	0.304776i	$-0.901419\pi$
$467$	−0.332115	+	0.959582i	−0.0153684	+	0.0444042i	0.937056	+	0.349180i	$0.113540\pi$
$468$	−0.792387	+	1.25794i	−0.0366281	+	0.0581484i
$469$	39.0989	−	7.57598i	1.80542	−	0.349826i
$470$	−1.15295	+	1.33057i	−0.0531816	+	0.0613748i
$471$	1.82583	−	4.31778i	0.0841299	−	0.198953i
$472$	0.904160	−	0.466127i	0.0416173	−	0.0214552i
$473$	−7.38925	+	2.55745i	−0.339758	+	0.117591i
$474$	−7.34042	−	0.843878i	−0.337157	−	0.0387606i
$475$	−35.0792	+	5.04362i	−1.60954	+	0.231417i
$476$	6.58206	+	8.35268i	0.301688	+	0.382845i
$477$	−0.0541184	+	0.190698i	−0.00247791	+	0.00873145i
$478$	−20.3706	−	19.4233i	−0.931730	−	0.888402i
$479$	0.424420	+	0.596015i	0.0193923	+	0.0272326i	0.824158	−	0.566360i	$-0.191649\pi$
$479$	0.424420	+	0.596015i	0.0193923	+	0.0272326i	−0.804766	+	0.593592i	$0.797709\pi$
$480$	0.460694	+	0.748153i	0.0210277	+	0.0341484i
$481$	−1.52606	+	2.96013i	−0.0695821	+	0.134971i
$482$	−6.45086			−0.293829
$483$	−2.69114	+	21.8119i	−0.122451	+	0.992475i
$484$	7.53083			0.342311
$485$	1.72473	−	3.34550i	0.0783158	−	0.151912i
$486$	−11.7922	+	10.1952i	−0.534907	+	0.462466i
$487$	−7.78728	−	10.9357i	−0.352875	−	0.495544i	0.599541	−	0.800344i	$-0.295350\pi$
$487$	−7.78728	−	10.9357i	−0.352875	−	0.495544i	−0.952416	+	0.304800i	$0.901410\pi$
$488$	9.44383	+	9.00467i	0.427502	+	0.407622i
$489$	−24.7062	+	1.87978i	−1.11725	+	0.0850064i
$490$	−2.88838	+	2.06546i	−0.130484	+	0.0933081i
$491$	−31.5930	+	4.54239i	−1.42577	+	0.204995i	−0.811617	−	0.584189i	$-0.801413\pi$
$491$	−31.5930	+	4.54239i	−1.42577	+	0.204995i	−0.614156	+	0.789185i	$0.710503\pi$
$492$	2.11144	−	18.3662i	0.0951909	−	0.828012i
$493$	−3.73155	+	1.29150i	−0.168061	+	0.0581663i
$494$	3.29150	−	1.69689i	0.148092	−	0.0763465i
$495$	−1.93731	+	2.06908i	−0.0870758	+	0.0929984i
$496$	2.58740	−	2.98602i	0.116178	−	0.134076i
$497$	15.7707	+	18.1639i	0.707414	+	0.814762i
$498$	2.23577	−	10.5070i	0.100187	−	0.470832i
$499$	−11.1874	+	32.3240i	−0.500819	+	1.44702i	0.357504	+	0.933911i	$0.383628\pi$
$499$	−11.1874	+	32.3240i	−0.500819	+	1.44702i	−0.858323	+	0.513110i	$0.828493\pi$
$500$	−4.91980	−	0.469784i	−0.220020	−	0.0210094i
$501$	6.87941	−	10.2644i	0.307350	−	0.458579i
$502$	−1.54738	−	16.2049i	−0.0690631	−	0.723262i
$503$	−5.98845	+	41.6506i	−0.267012	+	1.85711i	0.209327	+	0.977846i	$0.432873\pi$
$503$	−5.98845	+	41.6506i	−0.267012	+	1.85711i	−0.476339	+	0.879262i	$0.658037\pi$
$504$	1.42357	−	7.80855i	0.0634107	−	0.347820i
$505$		−	6.65718i		−	0.296241i
$506$	−6.10384	−	6.52180i	−0.271349	−	0.289929i
$507$	−14.1425	−	16.9710i	−0.628090	−	0.753709i
$508$	0.136571	+	2.86697i	0.00605934	+	0.127201i
$509$	12.4979	+	31.2183i	0.553960	+	1.38372i	0.896006	+	0.444042i	$0.146456\pi$
$509$	12.4979	+	31.2183i	0.553960	+	1.38372i	−0.342046	+	0.939683i	$0.611120\pi$
$510$	−2.48582	+	2.50849i	−0.110074	+	0.111078i
$511$	−7.54118	−	7.89325i	−0.333602	−	0.349177i
$512$	0.909632	−	0.415415i	0.0402004	−	0.0183589i
$513$	38.1997	−	6.95974i	1.68656	−	0.307280i
$514$	27.7553	+	11.1116i	1.22423	+	0.490110i
$515$	0.162279	+	0.170194i	0.00715089	+	0.00749963i
$516$	6.22601	+	3.75630i	0.274085	+	0.165362i
$517$	−3.49496	+	5.43827i	−0.153708	+	0.239175i
$518$	1.67253	−	17.7013i	0.0734867	−	0.777751i
$519$	26.1602	−	14.4391i	1.14831	−	0.633806i
$520$	0.244301	−	0.0592669i	0.0107133	−	0.00259902i
$521$	23.0169	+	9.21458i	1.00839	+	0.403698i	0.816268	−	0.577673i	$-0.196039\pi$
$521$	23.0169	+	9.21458i	1.00839	+	0.403698i	0.192121	+	0.981371i	$0.438463\pi$
$522$	2.56565	+	1.45038i	0.112295	+	0.0634815i
$523$	13.8312	+	9.84914i	0.604795	+	0.430673i	0.841004	−	0.541030i	$-0.181965\pi$
$523$	13.8312	+	9.84914i	0.604795	+	0.430673i	−0.236208	+	0.971702i	$0.575905\pi$
$524$	4.64149	+	15.8075i	0.202765	+	0.690552i
$525$	14.7081	+	16.0007i	0.641915	+	0.698329i
$526$	16.1629	+	2.32387i	0.704736	+	0.101326i
$527$	14.1156	+	7.27712i	0.614887	+	0.316996i
$528$	2.06527	+	2.47833i	0.0898795	+	0.107856i
$529$	1.52112	−	22.9496i	0.0661355	−	0.997811i
$530$	0.0290278	−	0.0167592i	0.00126089	−	0.000727975i
$531$	0.406866	−	3.02448i	0.0176565	−	0.131251i
$532$	−12.9321	+	14.9544i	−0.560677	+	0.648356i
$533$	−4.81149	−	2.19733i	−0.208409	−	0.0951770i
$534$	2.68102	+	5.45596i	0.116019	+	0.236103i
$535$	3.30494	+	0.315584i	0.142885	+	0.0136439i
$536$	14.7808	−	2.84877i	0.638435	−	0.123048i
$537$	4.86827	−	1.58061i	0.210081	−	0.0682082i
$538$	−9.58187	−	2.81349i	−0.413104	−	0.121298i
$539$	−9.41814	+	9.01597i	−0.405668	+	0.388345i
$540$	2.63146	+	0.152222i	0.113240	+	0.00655059i
$541$	−1.05982	+	22.2483i	−0.0455651	+	0.956530i	0.854143	+	0.520038i	$0.174082\pi$
$541$	−1.05982	+	22.2483i	−0.0455651	+	0.956530i	−0.899708	+	0.436492i	$0.856221\pi$
$542$	−15.5082	+	5.36743i	−0.666133	+	0.230551i
$543$	18.4347	−	7.99341i	0.791108	−	0.343030i
$544$	2.48465	+	3.15949i	0.106528	+	0.135462i
$545$	3.32947	−	2.88500i	0.142619	−	0.123580i
$546$	−1.99918	−	1.07732i	−0.0855571	−	0.0461051i
$547$	−14.9650	+	4.39411i	−0.639856	+	0.187879i	−0.585538	−	0.810645i	$-0.699117\pi$
$547$	−14.9650	+	4.39411i	−0.639856	+	0.187879i	−0.0543179	+	0.998524i	$0.517298\pi$
$548$	−0.572176	+	0.0546362i	−0.0244422	+	0.00233394i
$549$	38.3700	−	7.75712i	1.63759	−	0.331066i
$550$	−8.82356	+	0.420318i	−0.376238	+	0.0179224i
$551$	−3.67055	−	6.35758i	−0.156371	−	0.270842i
$552$	−1.02534	+	8.24310i	−0.0436416	+	0.350850i
$553$	0.525837	−	11.2743i	0.0223609	−	0.479431i
$554$	−2.05776	−	3.20193i	−0.0874257	−	0.136037i
$555$	5.90218	−	0.167307i	0.250534	−	0.00710178i
$556$	−11.7948	−	16.5635i	−0.500211	−	0.702449i
$557$	7.78404	−	32.0863i	0.329820	−	1.35954i	−0.529591	−	0.848253i	$-0.677654\pi$
$557$	7.78404	−	32.0863i	0.329820	−	1.35954i	0.859411	−	0.511285i	$-0.170830\pi$
$558$	−2.89895	−	11.4932i	−0.122723	−	0.486547i
$559$	1.57231	−	1.36241i	0.0665015	−	0.0576239i
$560$	−1.09248	+	0.779587i	−0.0461657	+	0.0329436i
$561$	−7.72360	+	10.4157i	−0.326091	+	0.439753i
$562$	2.87768	−	14.9308i	0.121388	−	0.629819i
$563$	−11.4311	+	5.89316i	−0.481765	+	0.248367i	−0.681961	−	0.731389i	$-0.738872\pi$
$563$	−11.4311	+	5.89316i	−0.481765	+	0.248367i	0.200196	+	0.979756i	$0.435842\pi$
$564$	5.96567	−	0.740764i	0.251200	−	0.0311918i
$565$	−0.172195	−	0.0331878i	−0.00724429	−	0.00139622i
$566$	−29.2435	−	8.58667i	−1.22920	−	0.360925i
$567$	−16.7590	−	16.9156i	−0.703811	−	0.710387i
$568$	5.95395	+	6.87123i	0.249822	+	0.288310i
$569$	23.5521	−	33.0743i	0.987355	−	1.38655i	0.0660024	−	0.997819i	$-0.478975\pi$
$569$	23.5521	−	33.0743i	0.987355	−	1.38655i	0.921353	−	0.388727i	$-0.127085\pi$
$570$	−5.45388	−	3.65531i	−0.228438	−	0.153104i
$571$	−9.30900	+	6.62891i	−0.389570	+	0.277411i	−0.758014	−	0.652239i	$-0.773830\pi$
$571$	−9.30900	+	6.62891i	−0.389570	+	0.277411i	0.368444	+	0.929650i	$0.379891\pi$
$572$	0.856912	−	0.343056i	0.0358293	−	0.0143439i
$573$	9.33749	+	42.0049i	0.390079	+	1.75478i
$574$	28.2090	+	1.31568i	1.17742	+	0.0549153i
$575$	−16.3148	−	15.8482i	−0.680375	−	0.660915i
$576$	0.540988	−	2.95082i	0.0225412	−	0.122951i
$577$	0.779575	+	16.3653i	0.0324541	+	0.681296i	0.955213	+	0.295919i	$0.0956257\pi$
$577$	0.779575	+	16.3653i	0.0324541	+	0.681296i	−0.922759	+	0.385377i	$0.874071\pi$
$578$	0.521830	−	0.663561i	0.0217053	−	0.0276005i
$579$	−6.98527	+	26.5509i	−0.290298	+	1.10342i
$580$	−0.140401	−	0.478161i	−0.00582983	−	0.0198546i
$581$	16.2444	+	2.31912i	0.673931	+	0.0962135i
$582$	−12.0209	+	4.54582i	−0.498282	+	0.188430i
$583$	0.0967405	−	0.0760776i	0.00400658	−	0.00315081i
$584$	−2.84733	−	2.98620i	−0.117824	−	0.123570i
$585$	0.273926	−	0.702656i	0.0113255	−	0.0290512i
$586$	16.8429	+	0.802326i	0.695773	+	0.0331438i
$587$	15.5895	−	24.2578i	0.643448	−	1.00122i	−0.354364	−	0.935108i	$-0.615303\pi$
$587$	15.5895	−	24.2578i	0.643448	−	1.00122i	0.997812	−	0.0661172i	$-0.0210611\pi$
$588$	12.0477	+	1.36080i	0.496841	+	0.0561186i
$589$	−8.31803	+	28.3286i	−0.342738	+	1.16726i
$590$	−0.405617	+	0.318980i	−0.0166990	+	0.0131322i
$591$	−38.4447	−	6.28549i	−1.58140	−	0.258550i
$592$	0.638802	−	6.68984i	0.0262546	−	0.274951i
$593$	16.5800	−	17.3886i	0.680860	−	0.714066i	−0.289108	−	0.957296i	$-0.593359\pi$
$593$	16.5800	−	17.3886i	0.680860	−	0.714066i	0.969968	+	0.243231i	$0.0782072\pi$
$594$	9.64324	−	0.821821i	0.395667	−	0.0337197i
$595$	−4.08042	−	3.52862i	−0.167281	−	0.144659i
$596$	10.6655	−	6.85433i	0.436877	−	0.280764i
$597$	−3.41725	−	19.7724i	−0.139859	−	0.809230i
$598$	2.15262	+	1.00735i	0.0880272	+	0.0411935i
$599$	3.62355	+	2.09206i	0.148054	+	0.0854792i	0.572197	−	0.820116i	$-0.306091\pi$
$599$	3.62355	+	2.09206i	0.148054	+	0.0854792i	−0.424143	+	0.905595i	$0.639425\pi$
$600$	5.55314	+	6.05323i	0.226706	+	0.247122i
$601$	3.71122	−	25.8121i	0.151384	−	1.05290i	−0.762519	−	0.646966i	$-0.776038\pi$
$601$	3.71122	−	25.8121i	0.151384	−	1.05290i	0.913903	−	0.405933i	$-0.133053\pi$
$602$	−5.07981	+	9.87753i	−0.207038	+	0.402578i
$603$	18.3859	−	41.2463i	0.748731	−	1.67968i
$604$	−7.55691	+	10.6122i	−0.307486	+	0.431804i
$605$	−3.75114	+	0.722973i	−0.152505	+	0.0293930i
$606$	−15.2135	+	16.8888i	−0.618006	+	0.686060i
$607$	−6.98147	−	28.7780i	−0.283369	−	1.16806i	−0.918424	−	0.395597i	$-0.870538\pi$
$607$	−6.98147	−	28.7780i	−0.283369	−	1.16806i	0.635055	−	0.772467i	$-0.280977\pi$
$608$	−4.89348	+	5.64738i	−0.198457	+	0.229031i
$609$	−1.94468	+	4.06029i	−0.0788023	+	0.164531i
$610$	−5.56847	−	3.57864i	−0.225461	−	0.144895i
$611$	0.325510	−	1.68890i	0.0131687	−	0.0683257i
$612$	12.0389	−	0.683075i	0.486645	−	0.0276117i
$613$	1.41367	−	3.53117i	0.0570976	−	0.142623i	−0.897076	−	0.441876i	$-0.854313\pi$
$613$	1.41367	−	3.53117i	0.0570976	−	0.142623i	0.954174	+	0.299253i	$0.0967374\pi$
$614$	1.24716	+	0.431648i	0.0503315	+	0.0174199i
$615$	0.711471	+	9.35098i	0.0286893	+	0.377068i
$616$	−3.56311	+	3.40418i	−0.143562	+	0.137158i
$617$	11.2350	−	24.6012i	0.452304	−	0.990407i	−0.536871	−	0.843664i	$-0.680394\pi$
$617$	11.2350	−	24.6012i	0.452304	−	0.990407i	0.989175	−	0.146742i	$-0.0468789\pi$
$618$	−0.0227516	−	0.802622i	−0.000915204	−	0.0322862i
$619$	10.8525	−	0.516969i	0.436199	−	0.0207787i	0.171666	−	0.985155i	$-0.445085\pi$
$619$	10.8525	−	0.516969i	0.436199	−	0.0207787i	0.264533	+	0.964377i	$0.414782\pi$
$620$	−1.00213	+	1.73574i	−0.0402465	+	0.0697091i
$621$	18.5118	+	16.6827i	0.742854	+	0.669454i
$622$	−3.52749			−0.141440
$623$	−8.03727	+	4.65097i	−0.322007	+	0.186337i
$624$	−0.755215	−	0.407940i	−0.0302328	−	0.0163307i
$625$	−21.1103	+	2.01579i	−0.844413	+	0.0806317i
$626$	4.22155	−	17.4015i	0.168727	−	0.695502i
$627$	−21.7315	−	10.4349i	−0.867873	−	0.416728i
$628$	2.55773	+	0.885238i	0.102064	+	0.0353249i
$629$	26.7367	−	3.84416i	1.06606	−	0.153277i
$630$	0.0405502	+	4.02613i	0.00161556	+	0.160405i
$631$	−1.96081	−	1.69905i	−0.0780587	−	0.0676383i	0.614958	−	0.788560i	$-0.289173\pi$
$631$	−1.96081	−	1.69905i	−0.0780587	−	0.0676383i	−0.693016	+	0.720922i	$0.743719\pi$
$632$	0.202980	−	4.26107i	0.00807411	−	0.169496i
$633$	6.14226	+	49.4660i	0.244133	+	1.96610i
$634$	3.72269	+	10.7560i	0.147847	+	0.427175i
$635$	−0.343260	−	1.41494i	−0.0136219	−	0.0561501i
$636$	−0.111941	−	0.0238196i	−0.00443874	−	0.000944509i
$637$	1.43479	−	3.15835i	0.0568486	−	0.125138i
$638$	−0.760129	−	1.66445i	−0.0300938	−	0.0658962i
$639$	27.1276	−	2.83911i	1.07315	−	0.112314i
$640$	−0.413211	+	0.294246i	−0.0163336	+	0.0116311i
$641$	9.59000	+	7.54166i	0.378782	+	0.297878i	0.789339	−	0.613957i	$-0.210423\pi$
$641$	9.59000	+	7.54166i	0.378782	+	0.297878i	−0.410557	+	0.911835i	$0.634666\pi$
$642$	−7.66320	−	8.35331i	−0.302442	−	0.329679i
$643$		−	44.3536i		−	1.74913i	−0.484904	−	0.874567i	$-0.661146\pi$
$643$		−	44.3536i		−	1.74913i	0.484904	−	0.874567i	$-0.338854\pi$
$644$	−12.6688	−	0.708905i	−0.499219	−	0.0279348i
$645$	−3.46181	−	1.27332i	−0.136309	−	0.0501369i
$646$	−26.6965	−	13.7630i	−1.05036	−	0.541499i
$647$	1.59407	−	2.02702i	0.0626693	−	0.0796905i	−0.753708	−	0.657210i	$-0.771737\pi$
$647$	1.59407	−	2.02702i	0.0626693	−	0.0796905i	0.816377	+	0.577519i	$0.195979\pi$
$648$	−6.32794	−	6.39978i	−0.248585	−	0.251407i
$649$	−1.30748	+	1.37125i	−0.0513231	+	0.0538261i
$650$	2.13793	−	0.976359i	0.0838564	−	0.0382959i
$651$	17.2156	−	5.60838i	0.674731	−	0.219810i
$652$	−2.03586	−	14.1598i	−0.0797306	−	0.554539i
$653$	−7.93506	+	1.92503i	−0.310523	+	0.0753321i	−0.387992	−	0.921663i	$-0.626831\pi$
$653$	−7.93506	+	1.92503i	−0.310523	+	0.0753321i	0.0774691	+	0.996995i	$0.475316\pi$
$654$	−15.0396	−	0.289712i	−0.588096	−	0.0113286i
$655$	−3.82949	−	7.42817i	−0.149630	−	0.290243i
$656$	10.6615	+	0.507869i	0.416261	+	0.0198290i
$657$	−12.2358	+	1.87277i	−0.477364	+	0.0730637i
$658$	1.74679	+	9.01503i	0.0680971	+	0.351442i
$659$	3.25830	+	22.6620i	0.126925	+	0.882786i	0.949419	+	0.314012i	$0.101673\pi$
$659$	3.25830	+	22.6620i	0.126925	+	0.882786i	−0.822494	+	0.568774i	$0.807418\pi$
$660$	−1.26665	−	1.03620i	−0.0493041	−	0.0403339i
$661$	−0.625788	+	6.55355i	−0.0243403	+	0.254903i	0.975109	+	0.221725i	$0.0711689\pi$
$661$	−0.625788	+	6.55355i	−0.0243403	+	0.254903i	−0.999449	+	0.0331780i	$0.989437\pi$
$662$	−6.62536	−	1.60729i	−0.257502	−	0.0624693i
$663$	0.877810	−	3.33654i	0.0340913	−	0.129580i
$664$	6.13893	+	0.882644i	0.238237	+	0.0342532i
$665$	5.00587	−	8.69035i	0.194119	−	0.336997i
$666$	−15.3557	−	13.0637i	−0.595023	−	0.506206i
$667$	1.79164	−	4.35752i	0.0693727	−	0.168724i
$668$	6.17827	+	3.56703i	0.239044	+	0.138012i
$669$	−6.85161	−	2.15599i	−0.264899	−	0.0833555i
$670$	−7.08891	+	2.83797i	−0.273868	+	0.109640i
$671$	−22.1079	−	10.0963i	−0.853466	−	0.389765i
$672$	4.55311	+	0.518858i	0.175640	+	0.0200154i
$673$	−0.573546	−	1.25589i	−0.0221086	−	0.0484110i	0.898256	−	0.439473i	$-0.144835\pi$
$673$	−0.573546	−	1.25589i	−0.0221086	−	0.0484110i	−0.920364	+	0.391062i	$0.872108\pi$
$674$	−3.78845	+	10.9460i	−0.145925	+	0.421624i
$675$	24.4273	−	3.25860i	0.940206	−	0.125423i
$676$	9.23080	−	8.80155i	0.355031	−	0.338521i
$677$	−25.7644	−	4.96568i	−0.990206	−	0.190847i	−0.331670	−	0.943396i	$-0.607612\pi$
$677$	−25.7644	−	4.96568i	−0.990206	−	0.190847i	−0.658536	+	0.752549i	$0.728824\pi$
$678$	0.361002	+	0.477707i	0.0138642	+	0.0183462i
$679$	−8.17287	−	17.8492i	−0.313646	−	0.684988i
$680$	−1.54093	−	1.33522i	−0.0590919	−	0.0512034i
$681$	33.5497	+	3.85698i	1.28563	+	0.147800i
$682$	−2.73512	+	6.83199i	−0.104733	+	0.261610i
$683$	7.17573	+	37.2312i	0.274572	+	1.42461i	0.813158	+	0.582043i	$0.197746\pi$
$683$	7.17573	+	37.2312i	0.274572	+	1.42461i	−0.538586	+	0.842570i	$0.681041\pi$
$684$	5.48272	+	21.7369i	0.209637	+	0.831130i
$685$	0.279758	−	0.0821444i	0.0106890	−	0.00313857i
$686$	−0.826102	+	18.5018i	−0.0315407	+	0.706403i
$687$	14.6360	−	27.0955i	0.558398	−	1.03376i
$688$	−1.92369	+	3.73145i	−0.0733402	+	0.142260i
$689$	−0.0163726	+	0.0283582i	−0.000623747	+	0.00108036i
$690$	−0.280623	−	4.20435i	−0.0106831	−	0.160057i
$691$	−24.5514	−	42.5242i	−0.933978	−	1.61770i	−0.776446	−	0.630184i	$-0.782979\pi$
$691$	−24.5514	−	42.5242i	−0.933978	−	1.61770i	−0.157532	−	0.987514i	$-0.550354\pi$
$692$	9.32688	+	14.5129i	0.354555	+	0.551698i
$693$	2.25121	+	14.6113i	0.0855162	+	0.555037i
$694$	−4.29169	+	9.39749i	−0.162910	+	0.356724i
$695$	7.46517	+	7.11802i	0.283170	+	0.270002i
$696$	−0.736542	+	1.53391i	−0.0279186	+	0.0581428i
$697$	8.11920	+	42.1264i	0.307537	+	1.59565i
$698$	−14.3006	−	18.1847i	−0.541285	−	0.688300i
$699$	−2.85902	−	2.12006i	−0.108138	−	0.0801879i
$700$	−8.65005	+	9.08997i	−0.326941	+	0.343569i
$701$	27.4779	+	17.6589i	1.03782	+	0.666969i	0.944448	−	0.328662i	$-0.106598\pi$
$701$	27.4779	+	17.6589i	1.03782	+	0.666969i	0.0933765	+	0.995631i	$0.470234\pi$
$702$	−2.30069	+	1.15659i	−0.0868340	+	0.0436526i
$703$	16.4245	+	47.4556i	0.619464	+	1.78982i
$704$	−1.34801	+	1.28532i	−0.0508049	+	0.0484423i
$705$	−2.90041	+	0.941692i	−0.109236	+	0.0354662i
$706$	1.49539	+	1.72577i	0.0562797	+	0.0649502i
$707$	−27.3143	−	21.4363i	−1.02726	−	0.806197i
$708$	1.75798	+	0.117715i	0.0660688	+	0.00442400i
$709$	−0.389822	−	4.08240i	−0.0146401	−	0.153318i	0.985196	−	0.171433i	$-0.0548396\pi$
$709$	−0.389822	−	4.08240i	−0.0146401	−	0.153318i	−0.999836	+	0.0181149i	$0.994234\pi$
$710$	−3.62534	−	2.85100i	−0.136056	−	0.106996i
$711$	−10.1311	−	7.81938i	−0.379946	−	0.293250i
$712$	−3.03955	+	1.75488i	−0.113912	+	0.0657671i
$713$	−17.6560	+	6.87874i	−0.661222	+	0.257611i
$714$	2.28788	+	18.2767i	0.0856216	+	0.683989i
$715$	−0.393897	+	0.253142i	−0.0147309	+	0.00946699i
$716$	1.09831	+	2.74345i	0.0410458	+	0.102527i
$717$	−12.8314	−	47.0323i	−0.479196	−	1.75645i
$718$	19.2317	+	4.66557i	0.717722	+	0.174117i
$719$	−18.1885	−	12.9520i	−0.678316	−	0.483027i	0.188229	−	0.982125i	$-0.439725\pi$
$719$	−18.1885	−	12.9520i	−0.678316	−	0.483027i	−0.866545	+	0.499098i	$0.833665\pi$
$720$	0.0138151	+	1.52175i	0.000514858	+	0.0567123i
$721$	1.22085	−	0.117801i	0.0454667	−	0.00438712i
$722$	10.3788	−	35.3468i	0.386257	−	1.31547i
$723$	−9.56691	−	5.77194i	−0.355797	−	0.214661i
$724$	5.31577	+	10.3112i	0.197559	+	0.383211i
$725$	−2.13499	−	4.14131i	−0.0792916	−	0.153804i
$726$	11.1685	+	6.73825i	0.414504	+	0.250080i
$727$	1.70750	−	5.81520i	0.0633275	−	0.215674i	−0.921750	−	0.387784i	$-0.873240\pi$
$727$	1.70750	−	5.81520i	0.0633275	−	0.215674i	0.985078	+	0.172111i	$0.0550587\pi$
$728$	0.543487	−	1.19321i	0.0201430	−	0.0442231i
$729$	−26.6106	+	4.56883i	−0.985579	+	0.169216i
$730$	1.70495	+	1.21409i	0.0631030	+	0.0449354i
$731$	−16.3984	−	3.97822i	−0.606518	−	0.147140i
$732$	5.94863	+	21.8042i	0.219868	+	0.805907i
$733$	5.05131	+	12.6176i	0.186574	+	0.466040i	0.991935	−	0.126744i	$-0.0404527\pi$
$733$	5.05131	+	12.6176i	0.186574	+	0.466040i	−0.805361	+	0.592785i	$0.798029\pi$
$734$	−4.83728	+	3.10873i	−0.178547	+	0.114745i
$735$	−6.13167	+	0.478782i	−0.226170	+	0.0176602i
$736$	−4.78807	−	0.272697i	−0.176491	−	0.0100517i
$737$	−24.2808	+	14.0185i	−0.894393	+	0.516378i
$738$	19.5646	−	25.3486i	0.720182	−	0.933096i
$739$	−8.29616	−	6.52417i	−0.305179	−	0.239995i	0.453811	−	0.891098i	$-0.350064\pi$
$739$	−8.29616	−	6.52417i	−0.305179	−	0.239995i	−0.758990	+	0.651103i	$0.774307\pi$
$740$	0.324046	+	3.39356i	0.0119122	+	0.124750i
$741$	6.39973	+	0.428530i	0.235100	+	0.0157424i
$742$	0.0247077	−	0.173066i	0.000907049	−	0.00635345i
$743$	26.9035	+	31.0483i	0.986995	+	1.13905i	0.990284	+	0.139058i	$0.0444074\pi$
$743$	26.9035	+	31.0483i	0.986995	+	1.13905i	−0.00328977	+	0.999995i	$0.501047\pi$
$744$	6.50897	−	2.11330i	0.238631	−	0.0774775i
$745$	−4.65452	+	4.43808i	−0.170528	+	0.162599i
$746$	8.06207	+	23.2938i	0.295173	+	0.852848i
$747$	12.7169	−	13.5819i	0.465289	−	0.496936i
$748$	−6.29802	−	4.04749i	−0.230278	−	0.147991i
$749$	11.9369	−	12.5439i	0.436163	−	0.458346i
$750$	−6.87593	−	5.09872i	−0.251073	−	0.186179i
$751$	25.8239	+	32.8377i	0.942326	+	1.19827i	0.980004	+	0.198976i	$0.0637615\pi$
$751$	25.8239	+	32.8377i	0.942326	+	1.19827i	−0.0376780	+	0.999290i	$0.511996\pi$
$752$	0.656841	+	3.40801i	0.0239525	+	0.124277i
$753$	12.2046	−	25.4171i	0.444760	−	0.926252i
$754$	0.352351	+	0.335966i	0.0128319	+	0.0122352i
$755$	2.74534	−	6.01145i	0.0999130	−	0.218779i
$756$	9.09794	−	10.3067i	0.330889	−	0.374850i
$757$	13.5863	+	21.1408i	0.493804	+	0.768374i	0.995306	−	0.0967830i	$-0.0308553\pi$
$757$	13.5863	+	21.1408i	0.493804	+	0.768374i	−0.501502	+	0.865157i	$0.667219\pi$
$758$	4.41532	+	7.64756i	0.160372	+	0.277772i
$759$	−3.21685	−	15.1335i	−0.116764	−	0.549313i
$760$	1.89530	−	3.28276i	0.0687499	−	0.119078i
$761$	−16.9956	+	32.9669i	−0.616090	+	1.19505i	0.349978	+	0.936758i	$0.386189\pi$
$761$	−16.9956	+	32.9669i	−0.616090	+	1.19505i	−0.966068	+	0.258290i	$0.916841\pi$
$762$	−2.36269	+	4.37404i	−0.0855914	+	0.158455i
$763$	−1.11612	−	22.9505i	−0.0404062	−	0.830866i
$764$	−23.8372	+	6.99922i	−0.862398	+	0.253223i
$765$	−5.93106	+	1.49600i	−0.214438	+	0.0540880i
$766$	5.72785	+	29.7189i	0.206956	+	1.07379i
$767$	0.187360	−	0.468002i	0.00676517	−	0.0168986i
$768$	1.72072	+	0.197819i	0.0620910	+	0.00713818i
$769$	−18.0002	−	15.5973i	−0.649104	−	0.562452i	0.266848	−	0.963739i	$-0.414018\pi$
$769$	−18.0002	−	15.5973i	−0.649104	−	0.562452i	−0.915953	+	0.401286i	$0.868563\pi$
$770$	1.44799	−	2.03770i	0.0521820	−	0.0734336i
$771$	31.2202	+	41.3131i	1.12437	+	1.48786i
$772$	−15.5644	−	2.99978i	−0.560173	−	0.107965i
$773$	17.4917	−	16.6783i	0.629134	−	0.599879i	−0.306919	−	0.951736i	$-0.599298\pi$
$773$	17.4917	−	16.6783i	0.629134	−	0.599879i	0.936054	+	0.351857i	$0.114450\pi$
$774$	5.87247	+	11.1415i	0.211082	+	0.400473i
$775$	−6.12881	+	17.7080i	−0.220153	+	0.636091i
$776$	−3.08235	−	6.74941i	−0.110650	−	0.242290i
$777$	18.3188	−	24.7553i	0.657182	−	0.888091i
$778$	−17.6137	−	8.04391i	−0.631482	−	0.288388i
$779$	−74.0455	+	29.6434i	−2.65296	+	1.06208i
$780$	0.415338	+	0.130694i	0.0148715	+	0.00467961i
$781$	−14.6656	−	8.46718i	−0.524776	−	0.302980i
$782$	−3.47207	−	18.9612i	−0.124161	−	0.678053i
$783$	2.50723	+	4.44660i	0.0896010	+	0.158909i
$784$	−0.319183	+	6.99272i	−0.0113994	+	0.249740i
$785$	−1.35900	−	0.195395i	−0.0485047	−	0.00697393i
$786$	−7.26027	+	27.5961i	−0.258965	+	0.984322i
$787$	51.4543	+	12.4827i	1.83415	+	0.444959i	0.995080	−	0.0990708i	$-0.0315870\pi$
$787$	51.4543	+	12.4827i	1.83415	+	0.444959i	0.839066	+	0.544030i	$0.183102\pi$
$788$	2.13788	−	22.3889i	0.0761588	−	0.797572i
$789$	21.8910	+	17.9082i	0.779339	+	0.637550i
$790$	0.307965	+	2.14194i	0.0109569	+	0.0762070i
$791$	−0.690642	+	0.599647i	−0.0245564	+	0.0213210i
$792$	0.845390	+	5.52339i	0.0300396	+	0.196265i
$793$	6.45923	+	0.307691i	0.229374	+	0.0109264i
$794$	−4.92231	−	9.54795i	−0.174686	−	0.338844i
$795$	0.0580449	+	0.00111813i	0.00205864	+	3.96561e-5i
$796$	11.2583	−	2.73123i	0.399039	−	0.0968058i
$797$	−4.45391	−	30.9776i	−0.157766	−	1.09728i	−0.902739	−	0.430189i	$-0.858447\pi$
$797$	−4.45391	−	30.9776i	−0.157766	−	1.09728i	0.744973	−	0.667094i	$-0.232462\pi$
$798$	−32.5594	+	10.6070i	−1.15259	+	0.375483i
$799$	−12.6897	+	5.79520i	−0.448930	+	0.205019i
$800$	−3.27282	+	3.43244i	−0.115712	+	0.121355i
$801$	−0.905680	+	10.4903i	−0.0320006	+	0.370656i
$802$	−18.1050	+	23.0224i	−0.639310	+	0.812949i
$803$	6.83083	+	3.52154i	0.241055	+	0.124272i
$804$	24.4696	+	9.00037i	0.862975	+	0.317418i
$805$	6.37841	−	0.863114i	0.224810	−	0.0304208i
$806$		−	1.95802i		−	0.0689685i
$807$	−11.6929	−	12.7460i	−0.411611	−	0.448679i
$808$	−10.3158	−	8.11243i	−0.362908	−	0.285394i
$809$	−15.1760	+	10.8068i	−0.533561	+	0.379947i	−0.814846	−	0.579677i	$-0.803179\pi$
$809$	−15.1760	+	10.8068i	−0.533561	+	0.379947i	0.281285	+	0.959624i	$0.409239\pi$
$810$	3.76636	+	2.58026i	0.132336	+	0.0906611i
$811$	6.29965	+	13.7943i	0.221211	+	0.484384i	0.987403	−	0.158228i	$-0.0505781\pi$
$811$	6.29965	+	13.7943i	0.221211	+	0.484384i	−0.766192	+	0.642612i	$0.777851\pi$
$812$	−2.41398	−	0.963632i	−0.0847142	−	0.0338169i
$813$	−27.8018	−	5.91587i	−0.975051	−	0.207479i
$814$	2.95099	+	12.1641i	0.103432	+	0.426353i
$815$	2.37343	+	6.85758i	0.0831377	+	0.240211i
$816$	0.857874	+	6.90880i	0.0300316	+	0.241856i
$817$	1.49268	−	31.3352i	0.0522223	−	1.09628i
$818$	−6.72973	−	5.83134i	−0.235299	−	0.203888i
$819$	−2.00093	−	3.38649i	−0.0699183	−	0.118334i
$820$	−5.35928	+	0.770549i	−0.187154	+	0.0269087i
$821$	−22.8599	−	7.91190i	−0.797817	−	0.276127i	−0.102409	−	0.994742i	$-0.532655\pi$
$821$	−22.8599	−	7.91190i	−0.797817	−	0.276127i	−0.695408	+	0.718615i	$0.744776\pi$
$822$	−0.897447	−	0.430929i	−0.0313021	−	0.0150304i
$823$	0.0190938	−	0.0787058i	0.000665569	−	0.00274351i	−0.971478	−	0.237130i	$-0.923793\pi$
$823$	0.0190938	−	0.0787058i	0.000665569	−	0.00274351i	0.972143	+	0.234387i	$0.0753083\pi$
$824$	0.461481	−	0.0440661i	0.0160764	−	0.00153511i
$825$	−13.4618	−	7.27157i	−0.468680	−	0.253164i
$826$	0.00267320	+	2.69137i	9.30124e−5	+	0.0936446i
$827$	−25.2101			−0.876641			−0.438320	−	0.898819i	$-0.644426\pi$
$827$	−25.2101			−0.876641			−0.438320	+	0.898819i	$0.644426\pi$
$828$	−8.89618	+	11.3074i	−0.309164	+	0.392960i
$829$	26.0973	−	45.2019i	0.906398	−	1.56993i	0.0873679	−	0.996176i	$-0.472154\pi$
$829$	26.0973	−	45.2019i	0.906398	−	1.56993i	0.819030	−	0.573751i	$-0.194512\pi$
$830$	−3.14256	+	0.149699i	−0.109080	+	0.00519611i
$831$	−0.186798	−	6.58978i	−0.00647995	−	0.228597i
$832$	0.205867	−	0.450785i	0.00713714	−	0.0156282i
$833$	−27.6169	+	5.37965i	−0.956870	+	0.186394i
$834$	−2.67195	−	35.1178i	−0.0925220	−	1.21603i
$835$	−3.41986	−	1.18363i	−0.118349	−	0.0409610i
$836$	5.17285	−	12.9212i	0.178907	−	0.446888i
$837$	5.98435	−	19.6388i	0.206849	−	0.678817i
$838$	−4.65301	+	24.1421i	−0.160736	+	0.833976i
$839$	10.1556	+	6.52663i	0.350611	+	0.225324i	0.704078	−	0.710123i	$-0.251361\pi$
$839$	10.1556	+	6.52663i	0.350611	+	0.225324i	−0.353466	+	0.935447i	$0.614997\pi$
$840$	−2.31773	+	0.178661i	−0.0799693	+	0.00616438i
$841$	−18.3589	+	21.1873i	−0.633067	+	0.730598i
$842$	−7.38113	−	30.4254i	−0.254370	−	1.04853i
$843$	17.6271	−	19.5682i	0.607111	−	0.673966i
$844$	−28.2585	+	5.44638i	−0.972698	+	0.187472i
$845$	−3.75293	+	5.27026i	−0.129105	+	0.181302i
$846$	9.51015	+	4.23923i	0.326966	+	0.145748i
$847$	−9.11244	+	17.7189i	−0.313107	+	0.608827i
$848$	0.00940360	−	0.0654035i	0.000322921	−	0.00224597i
$849$	−35.6864	−	38.9002i	−1.22475	−	1.33505i
$850$	−16.5089	−	9.53143i	−0.566251	−	0.326925i
$851$	−17.6756	+	26.9499i	−0.605913	+	0.923831i
$852$	2.68190	+	15.5176i	0.0918805	+	0.531626i
$853$	−25.9429	+	16.6725i	−0.888268	+	0.570855i	−0.903289	−	0.429032i	$-0.858855\pi$
$853$	−25.9429	+	16.6725i	−0.888268	+	0.570855i	0.0150211	+	0.999887i	$0.495218\pi$
$854$	−32.6137	+	11.3240i	−1.11602	+	0.387500i
$855$	−4.81774	−	10.3009i	−0.164763	−	0.352282i
$856$	4.51642	−	4.73668i	0.154368	−	0.161896i
$857$	−2.11126	+	22.1101i	−0.0721193	+	0.755268i	0.885003	+	0.465585i	$0.154156\pi$
$857$	−2.11126	+	22.1101i	−0.0721193	+	0.755268i	−0.957123	+	0.289683i	$0.906450\pi$
$858$	1.57779	+	0.257959i	0.0538648	+	0.00880659i
$859$	3.67713	−	2.89173i	0.125462	−	0.0986645i	−0.553456	−	0.832878i	$-0.686691\pi$
$859$	3.67713	−	2.89173i	0.125462	−	0.0986645i	0.678918	+	0.734214i	$0.262449\pi$
$860$	0.599975	−	2.04333i	0.0204590	−	0.0696768i
$861$	40.6579	+	27.1913i	1.38562	+	0.926677i
$862$	3.53529	−	5.50102i	0.120412	−	0.187365i
$863$	−47.5399	−	2.26460i	−1.61828	−	0.0770880i	−0.781238	−	0.624233i	$-0.785411\pi$
$863$	−47.5399	−	2.26460i	−1.61828	−	0.0770880i	−0.837038	+	0.547145i	$0.815714\pi$
$864$	3.44257	−	3.89214i	0.117118	−	0.132413i
$865$	−6.03902	−	6.33354i	−0.205333	−	0.215347i
$866$	12.2156	−	9.60649i	0.415105	−	0.326442i
$867$	1.36762	−	0.517179i	0.0464468	−	0.0175643i
$868$	3.89483	+	9.70087i	0.132199	+	0.329269i
$869$	2.23852	+	7.62370i	0.0759366	+	0.258616i
$870$	0.219616	−	0.834758i	0.00744569	−	0.0283009i
$871$	4.61130	−	5.86374i	0.156248	−	0.198685i
$872$	−0.413237	−	8.67491i	−0.0139940	−	0.293769i
$873$	−21.8949	−	4.01410i	−0.741030	−	0.135857i
$874$	33.3923	−	13.0096i	1.12951	−	0.440056i
$875$	7.05837	−	11.0071i	0.238616	−	0.372106i
$876$	−1.55080	−	6.97632i	−0.0523968	−	0.235708i
$877$	−9.92977	+	3.97528i	−0.335305	+	0.134236i	−0.533204	−	0.845987i	$-0.679012\pi$
$877$	−9.92977	+	3.97528i	−0.335305	+	0.134236i	0.197900	+	0.980222i	$0.436588\pi$
$878$	10.5804	−	7.53427i	0.357071	−	0.254269i
$879$	24.2608	+	16.2601i	0.818298	+	0.548441i
$880$	0.548054	−	0.769634i	0.0184749	−	0.0259443i
$881$	20.1142	+	23.2131i	0.677665	+	0.782068i	0.985555	−	0.169354i	$-0.0541683\pi$
$881$	20.1142	+	23.2131i	0.677665	+	0.782068i	−0.307890	+	0.951422i	$0.599623\pi$
$882$	16.6497	+	12.7979i	0.560626	+	0.430928i
$883$	35.5339	+	10.4337i	1.19581	+	0.351122i	0.818250	−	0.574863i	$-0.194945\pi$
$883$	35.5339	+	10.4337i	1.19581	+	0.351122i	0.377561	+	0.925985i	$0.376763\pi$
$884$	1.95591	+	0.376970i	0.0657843	+	0.0126789i
$885$	−0.886956	+	0.110134i	−0.0298147	+	0.00370212i
$886$	−17.7268	+	9.13881i	−0.595544	+	0.307024i
$887$	2.20165	−	11.4233i	0.0739243	−	0.383556i	−0.926057	−	0.377385i	$-0.876823\pi$
$887$	2.20165	−	11.4233i	0.0739243	−	0.383556i	0.999981	−	0.00617128i	$-0.00196439\pi$
$888$	6.93313	−	9.34974i	0.232661	−	0.313757i
$889$	−6.91078	−	3.14775i	−0.231780	−	0.105572i
$890$	1.34554	−	1.16592i	0.0451026	−	0.0390816i
$891$	15.0367	+	7.40953i	0.503747	+	0.248229i
$892$	0.977693	−	4.03010i	0.0327356	−	0.134938i
$893$	−15.0439	−	21.1262i	−0.503425	−	0.706962i
$894$	21.9504	−	0.622219i	0.734131	−	0.0208101i
$895$	−0.810448	−	1.26108i	−0.0270903	−	0.0421533i
$896$	−0.123265	+	2.64288i	−0.00411799	+	0.0882924i
$897$	2.29110	+	3.42001i	0.0764976	+	0.114191i
$898$	1.91799	+	3.32205i	0.0640040	+	0.110858i
$899$	−3.87717	+	0.184692i	−0.129311	+	0.00615983i
$900$	2.81939	+	13.9459i	0.0939797	+	0.464863i
$901$	0.264386	−	0.0252458i	0.00880796	−	0.000841058i
$902$	−19.0750	+	5.60092i	−0.635127	+	0.186490i
$903$	−16.3715	+	10.1036i	−0.544811	+	0.336227i
$904$	−0.261263	+	0.226386i	−0.00868948	+	0.00752948i
$905$	−3.63769	−	4.62571i	−0.120921	−	0.153764i
$906$	−20.7025	+	8.97675i	−0.687795	+	0.298233i
$907$	−45.8273	+	15.8610i	−1.52167	+	0.526656i	−0.954825	−	0.297168i	$-0.903958\pi$
$907$	−45.8273	+	15.8610i	−1.52167	+	0.526656i	−0.566846	+	0.823824i	$0.691837\pi$
$908$	−0.927730	+	19.4754i	−0.0307878	+	0.646315i
$909$	−37.6736	+	11.4344i	−1.24955	+	0.379257i
$910$	−0.156163	+	0.646516i	−0.00517676	+	0.0214318i
$911$	13.0545	+	3.83316i	0.432517	+	0.126998i	0.490742	−	0.871305i	$-0.336726\pi$
$911$	13.0545	+	3.83316i	0.432517	+	0.126998i	−0.0582251	+	0.998303i	$0.518544\pi$
$912$	−12.3103	+	3.99684i	−0.407633	+	0.132349i
$913$	−11.3430	+	2.18618i	−0.375399	+	0.0723522i
$914$	31.5598	+	3.01359i	1.04391	+	0.0996809i
$915$	−5.05628	−	10.2897i	−0.167155	−	0.340167i
$916$	16.1732	+	7.38605i	0.534377	+	0.244042i
$917$	−42.8087	−	8.20662i	−1.41367	−	0.271006i
$918$	18.4654	+	9.75886i	0.609450	+	0.322090i
$919$	−33.5374	+	19.3628i	−1.10630	+	0.638720i	−0.937867	−	0.346994i	$-0.887202\pi$
$919$	−33.5374	+	19.3628i	−1.10630	+	0.638720i	−0.168428	+	0.985714i	$0.553869\pi$
$920$	2.41114	−	0.323832i	0.0794928	−	0.0106764i
$921$	1.46338	+	1.75606i	0.0482200	+	0.0578641i
$922$	14.0037	+	7.21940i	0.461187	+	0.237758i
$923$	4.45982	+	0.641225i	0.146797	+	0.0211062i
$924$	−8.33014	+	1.86044i	−0.274042	+	0.0612038i
$925$	8.97939	+	30.5810i	0.295241	+	1.00550i
$926$	−3.15207	−	2.24458i	−0.103584	−	0.0737615i
$927$	0.684407	−	1.21068i	0.0224789	−	0.0397639i
$928$	−0.912037	−	0.365125i	−0.0299391	−	0.0119858i
$929$	−20.0103	+	4.85443i	−0.656515	+	0.159269i	−0.550160	−	0.835059i	$-0.685433\pi$
$929$	−20.0103	+	4.85443i	−0.656515	+	0.159269i	−0.106355	+	0.994328i	$0.533918\pi$
$930$	−3.03926	+	1.67752i	−0.0996614	+	0.0550080i
$931$	−19.5373	−	48.5222i	−0.640309	−	1.59025i
$932$	1.11100	−	1.72875i	0.0363919	−	0.0566270i
$933$	−5.23142	−	3.15624i	−0.171269	−	0.103331i
$934$	−0.700727	−	0.734901i	−0.0229285	−	0.0240467i
$935$	3.52563	+	1.41145i	0.115301	+	0.0461594i
$936$	−0.755010	−	1.28072i	−0.0246783	−	0.0418618i
$937$	12.5277	−	5.72119i	0.409261	−	0.186903i	−0.200137	−	0.979768i	$-0.564139\pi$
$937$	12.5277	−	5.72119i	0.409261	−	0.186903i	0.609397	+	0.792865i	$0.291411\pi$
$938$	−11.1824	+	38.2240i	−0.365117	+	1.24806i
$939$	21.8308	−	22.0299i	0.712420	−	0.718917i
$940$	−0.654350	−	1.63449i	−0.0213425	−	0.0533111i
$941$	−0.264585	−	5.55432i	−0.00862522	−	0.181066i	−0.999069	−	0.0431468i	$-0.986262\pi$
$941$	−0.264585	−	5.55432i	−0.00862522	−	0.181066i	0.990444	−	0.137919i	$-0.0440413\pi$
$942$	3.00115	+	3.60138i	0.0977827	+	0.117339i
$943$	−44.0909	−	26.0051i	−1.43580	−	0.846844i
$944$			1.01724i			0.0331084i
$945$	−3.54226	+	6.00721i	−0.115230	+	0.195415i
$946$	1.11280	−	7.73972i	0.0361804	−	0.251640i
$947$	0.0255871	+	0.267960i	0.000831468	+	0.00870752i	0.995878	−	0.0907014i	$-0.0289109\pi$
$947$	0.0255871	+	0.267960i	0.000831468	+	0.00870752i	−0.995047	+	0.0994089i	$0.968305\pi$
$948$	4.11364	−	6.13774i	0.133605	−	0.199344i
$949$	−2.03551	−	0.194367i	−0.0660753	−	0.00630943i
$950$	11.5913	−	33.4907i	0.376070	−	1.08658i
$951$	−4.10307	+	19.2825i	−0.133051	+	0.625278i
$952$	−10.4402	+	2.02295i	−0.338370	+	0.0655641i
$953$	27.2797	−	31.4825i	0.883677	−	1.01982i	−0.115970	−	0.993253i	$-0.536998\pi$
$953$	27.2797	−	31.4825i	0.883677	−	1.01982i	0.999647	−	0.0265646i	$-0.00845677\pi$
$954$	−0.144700	−	0.135485i	−0.00468485	−	0.00438649i
$955$	11.2014	−	5.77475i	0.362470	−	0.186866i
$956$	26.5985	−	9.20583i	0.860257	−	0.297738i
$957$	0.361970	−	3.14858i	0.0117008	−	0.101779i
$958$	−0.724240	+	0.104130i	−0.0233991	+	0.00336429i
$959$	0.563793	−	1.41235i	0.0182058	−	0.0456072i
$960$	−0.876087	+	0.0666573i	−0.0282756	+	0.00215135i
$961$	−11.1376	−	10.6197i	−0.359277	−	0.342570i
$962$	−1.93179	−	2.71282i	−0.0622835	−	0.0874650i
$963$	−3.89069	−	19.2450i	−0.125376	−	0.620161i
$964$	2.95596	−	5.73376i	0.0952050	−	0.184672i
$965$	8.04065			0.258838
$966$	−18.1540	−	12.3868i	−0.584096	−	0.398538i
$967$	−5.58180			−0.179499			−0.0897493	−	0.995964i	$-0.528607\pi$
$967$	−5.58180			−0.179499			−0.0897493	+	0.995964i	$0.528607\pi$
$968$	−3.45083	+	6.69367i	−0.110914	+	0.215143i
$969$	−27.2776	−	44.2980i	−0.876282	−	1.42306i
$970$	2.18329	+	3.06600i	0.0701011	+	0.0984432i
$971$	−28.3178	−	27.0010i	−0.908761	−	0.866502i	0.0827437	−	0.996571i	$-0.473632\pi$
$971$	−28.3178	−	27.0010i	−0.908761	−	0.866502i	−0.991505	+	0.130069i	$0.958480\pi$
$972$	−3.65838	−	15.1531i	−0.117343	−	0.486036i
$973$	53.2432	−	7.70920i	1.70690	−	0.247146i
$974$	13.2884	−	1.91058i	0.425787	−	0.0612190i
$975$	4.04424	+	0.464938i	0.129519	+	0.0148899i
$976$	−12.3311	+	4.26783i	−0.394708	+	0.136610i
$977$	−20.0298	+	10.3261i	−0.640811	+	0.330361i	−0.747824	−	0.663897i	$-0.768901\pi$
$977$	−20.0298	+	10.3261i	−0.640811	+	0.330361i	0.107014	+	0.994258i	$0.465871\pi$
$978$	9.65022	−	22.8211i	0.308580	−	0.729739i
$979$	4.28095	−	4.94048i	0.136820	−	0.157898i
$980$	−0.512326	−	3.51374i	−0.0163657	−	0.112242i
$981$	−22.0452	−	13.8864i	−0.703848	−	0.443359i
$982$	10.4393	−	30.1624i	0.333132	−	0.962522i
$983$	−14.1661	−	1.35270i	−0.451829	−	0.0431445i	−0.133339	−	0.991071i	$-0.542570\pi$
$983$	−14.1661	−	1.35270i	−0.451829	−	0.0431445i	−0.318491	+	0.947926i	$0.603176\pi$
$984$	15.3570	+	10.2926i	0.489564	+	0.328116i
$985$	1.08448	+	11.3572i	0.0345546	+	0.361872i
$986$	0.561963	−	3.90854i	0.0178965	−	0.124473i
$987$	−5.47567	+	14.9326i	−0.174292	+	0.475310i
$988$			3.70316i			0.117813i
$989$	16.5081	−	11.5257i	0.524927	−	0.366496i
$990$	−0.951347	−	2.67006i	−0.0302358	−	0.0848601i
$991$	0.107439	+	2.25542i	0.00341290	+	0.0716456i	0.999931	−	0.0117285i	$-0.00373338\pi$
$991$	0.107439	+	2.25542i	0.00341290	+	0.0716456i	−0.996518	+	0.0833741i	$0.973430\pi$
$992$	1.46846	+	3.66804i	0.0466238	+	0.116461i
$993$	−8.38755	−	8.31175i	−0.266171	−	0.263765i
$994$	−23.3713	+	5.69440i	−0.741292	+	0.180615i
$995$	−5.34559	+	2.44125i	−0.169467	+	0.0773928i
$996$	8.31454	+	6.80183i	0.263456	+	0.215524i
$997$	33.4961	+	13.4098i	1.06083	+	0.424693i	0.835444	−	0.549576i	$-0.185211\pi$
$997$	33.4961	+	13.4098i	1.06083	+	0.424693i	0.225388	+	0.974269i	$0.427635\pi$
$998$	−23.6043	−	24.7555i	−0.747182	−	0.783622i
$999$	−11.0845	−	33.1136i	−0.350697	−	1.04767i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.bf.a.11.6	✓	1280
3.2	odd	2	inner	966.2.bf.a.11.52	yes	1280
7.2	even	3	inner	966.2.bf.a.149.48	yes	1280
21.2	odd	6	inner	966.2.bf.a.149.24	yes	1280
23.21	odd	22	inner	966.2.bf.a.389.24	yes	1280
69.44	even	22	inner	966.2.bf.a.389.48	yes	1280
161.44	odd	66	inner	966.2.bf.a.527.52	yes	1280
483.44	even	66	inner	966.2.bf.a.527.6	yes	1280

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.bf.a.11.6	✓	1280	1.1	even	1	trivial
966.2.bf.a.11.52	yes	1280	3.2	odd	2	inner
966.2.bf.a.149.24	yes	1280	21.2	odd	6	inner
966.2.bf.a.149.48	yes	1280	7.2	even	3	inner
966.2.bf.a.389.24	yes	1280	23.21	odd	22	inner
966.2.bf.a.389.48	yes	1280	69.44	even	22	inner
966.2.bf.a.527.6	yes	1280	483.44	even	66	inner
966.2.bf.a.527.52	yes	1280	161.44	odd	66	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.bf (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.458227 + 0.888835i) q^{2} +(-1.47486 + 0.908181i) q^{3} +(-0.580057 - 0.814576i) q^{4} +(0.367129 + 0.350057i) q^{5} +(-0.131404 - 1.72706i) q^{6} +(2.61845 - 0.379131i) q^{7} +(0.989821 - 0.142315i) q^{8} +(1.35042 - 2.67888i) q^{9} +O(q^{10})\)	\(q+(-0.458227 + 0.888835i) q^{2} +(-1.47486 + 0.908181i) q^{3} +(-0.580057 - 0.814576i) q^{4} +(0.367129 + 0.350057i) q^{5} +(-0.131404 - 1.72706i) q^{6} +(2.61845 - 0.379131i) q^{7} +(0.989821 - 0.142315i) q^{8} +(1.35042 - 2.67888i) q^{9} +(-0.479371 + 0.165912i) q^{10} +(-1.65552 + 0.853479i) q^{11} +(1.59528 + 0.674588i) q^{12} +(0.324528 - 0.374526i) q^{13} +(-0.862857 + 2.50110i) q^{14} +(-0.859379 - 0.182865i) q^{15} +(-0.327068 + 0.945001i) q^{16} +(-4.00123 - 0.382071i) q^{17} +(1.76228 + 2.42783i) q^{18} +(-0.710311 - 7.43872i) q^{19} +(0.0721922 - 0.502108i) q^{20} +(-3.51752 + 2.93719i) q^{21} -1.86257i q^{22} +(3.50151 - 3.27711i) q^{23} +(-1.33060 + 1.10883i) q^{24} +(-0.225666 - 4.73730i) q^{25} +(0.184184 + 0.460070i) q^{26} +(0.441230 + 5.17739i) q^{27} +(-1.82768 - 1.91301i) q^{28} +(0.893631 - 0.408108i) q^{29} +(0.556327 - 0.680053i) q^{30} +(-3.66804 - 1.46846i) q^{31} +(-0.690079 - 0.723734i) q^{32} +(1.66654 - 2.76227i) q^{33} +(2.17307 - 3.38136i) q^{34} +(1.09403 + 0.777416i) q^{35} +(-2.96547 + 0.453884i) q^{36} +(-6.53083 + 1.58436i) q^{37} +(6.93728 + 2.77727i) q^{38} +(-0.138497 + 0.847103i) q^{39} +(0.413211 + 0.294246i) q^{40} +(-3.00709 - 10.2412i) q^{41} +(-0.998854 - 4.47239i) q^{42} +(4.15540 + 0.597456i) q^{43} +(1.65552 + 0.853479i) q^{44} +(1.43354 - 0.510771i) q^{45} +(1.30833 + 4.61392i) q^{46} +(3.00574 - 1.73537i) q^{47} +(-0.375852 - 1.69078i) q^{48} +(6.71252 - 1.98547i) q^{49} +(4.31409 + 1.97018i) q^{50} +(6.24824 - 3.07034i) q^{51} +(-0.493325 - 0.0471068i) q^{52} +(-0.0648820 + 0.0125050i) q^{53} +(-4.80403 - 1.98023i) q^{54} +(-0.906555 - 0.266189i) q^{55} +(2.53784 - 0.747915i) q^{56} +(7.80331 + 10.3260i) q^{57} +(-0.0467449 + 0.981297i) q^{58} +(0.961294 - 0.332707i) q^{59} +(0.349531 + 0.806101i) q^{60} +(8.06620 + 10.2570i) q^{61} +(2.98602 - 2.58740i) q^{62} +(2.52035 - 7.52648i) q^{63} +(0.959493 - 0.281733i) q^{64} +(0.250249 - 0.0238959i) q^{65} +(1.69155 + 2.74703i) q^{66} +(15.0358 - 0.716244i) q^{67} +(2.00972 + 3.48093i) q^{68} +(-2.18802 + 8.01327i) q^{69} +(-1.19231 + 0.616176i) q^{70} +(4.91547 + 7.64862i) q^{71} +(0.955427 - 2.84379i) q^{72} +(-2.39337 - 3.36102i) q^{73} +(1.58436 - 6.53083i) q^{74} +(4.63515 + 6.78191i) q^{75} +(-5.64738 + 4.89348i) q^{76} +(-4.01130 + 2.86245i) q^{77} +(-0.689472 - 0.511266i) q^{78} +(0.807328 - 4.18882i) q^{79} +(-0.450880 + 0.232445i) q^{80} +(-5.35275 - 7.23520i) q^{81} +(10.4807 + 2.01999i) q^{82} +(5.95083 + 1.74732i) q^{83} +(4.43292 + 1.16155i) q^{84} +(-1.33522 - 1.54093i) q^{85} +(-2.43515 + 3.41970i) q^{86} +(-0.947344 + 1.41348i) q^{87} +(-1.51720 + 1.08040i) q^{88} +(-3.25836 + 1.30445i) q^{89} +(-0.202893 + 1.50823i) q^{90} +(0.707766 - 1.10371i) q^{91} +(-4.70053 - 0.951335i) q^{92} +(6.74348 - 1.16547i) q^{93} +(0.165144 + 3.46680i) q^{94} +(2.34320 - 2.97962i) q^{95} +(1.67505 + 0.440689i) q^{96} +(-2.09044 - 7.11938i) q^{97} +(-1.31110 + 6.87612i) q^{98} +(0.0507254 + 5.58748i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1280 q - 64 q^{4} - 8 q^{6} + 4 q^{9}+O(q^{10}) \) 1280 * q - 64 * q^4 - 8 * q^6 + 4 * q^9	\( 1280 q - 64 q^{4} - 8 q^{6} + 4 q^{9} + 64 q^{16} + 44 q^{18} - 132 q^{21} - 4 q^{24} + 72 q^{25} + 108 q^{27} + 44 q^{30} + 8 q^{36} + 44 q^{37} - 4 q^{39} - 88 q^{43} - 12 q^{46} + 60 q^{49} - 48 q^{54} + 96 q^{55} + 44 q^{58} - 176 q^{61} - 110 q^{63} + 128 q^{64} + 56 q^{69} - 120 q^{70} + 44 q^{72} + 40 q^{73} - 268 q^{75} + 16 q^{78} + 88 q^{79} + 8 q^{81} - 56 q^{82} - 22 q^{84} + 64 q^{85} - 42 q^{87} - 32 q^{93} + 8 q^{94} + 4 q^{96} + 132 q^{99}+O(q^{100}) \) 1280 * q - 64 * q^4 - 8 * q^6 + 4 * q^9 + 64 * q^16 + 44 * q^18 - 132 * q^21 - 4 * q^24 + 72 * q^25 + 108 * q^27 + 44 * q^30 + 8 * q^36 + 44 * q^37 - 4 * q^39 - 88 * q^43 - 12 * q^46 + 60 * q^49 - 48 * q^54 + 96 * q^55 + 44 * q^58 - 176 * q^61 - 110 * q^63 + 128 * q^64 + 56 * q^69 - 120 * q^70 + 44 * q^72 + 40 * q^73 - 268 * q^75 + 16 * q^78 + 88 * q^79 + 8 * q^81 - 56 * q^82 - 22 * q^84 + 64 * q^85 - 42 * q^87 - 32 * q^93 + 8 * q^94 + 4 * q^96 + 132 * q^99

Introduction

L-functions

Modular forms

Varieties

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Representations

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Database

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