LMFDB - Embedded newform 184.2.p.a.13.11

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [184,2,Mod(13,184)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(184, base_ring=CyclotomicField(22)) chi = DirichletCharacter(H, H._module([0, 11, 14])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("184.13"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 184 = 2^{3} \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	184.p (of order $22$, degree $10$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$1.46924739719$
Analytic rank:	$0$
Dimension:	$220$
Relative dimension:	$22$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			13.11
Character	$\chi$	$=$	184.13
Dual form			184.2.p.a.85.11

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.0728674 - 1.41234i) q^{2} +(-0.00705328 + 0.0109751i) q^{3} +(-1.98938 + 0.205826i) q^{4} +(-3.12173 - 1.42565i) q^{5} +(0.0160145 + 0.00916187i) q^{6} +(-2.69654 - 0.791776i) q^{7} +(0.435657 + 2.79467i) q^{8} +(1.24617 + 2.72874i) q^{9} +(-1.78602 + 4.51282i) q^{10} +(-0.392224 - 0.339864i) q^{11} +(0.0117727 - 0.0232854i) q^{12} +(-0.952512 - 3.24396i) q^{13} +(-0.921762 + 3.86611i) q^{14} +(0.0376651 - 0.0242059i) q^{15} +(3.91527 - 0.818934i) q^{16} +(-0.694560 - 4.83077i) q^{17} +(3.76309 - 1.95885i) q^{18} +(-7.09308 - 1.01983i) q^{19} +(6.50375 + 2.19362i) q^{20} +(0.0277093 - 0.0240102i) q^{21} +(-0.451422 + 0.578717i) q^{22} +(4.07137 - 2.53455i) q^{23} +(-0.0337447 - 0.0149302i) q^{24} +(4.43845 + 5.12224i) q^{25} +(-4.51215 + 1.58164i) q^{26} +(-0.0774779 - 0.0111396i) q^{27} +(5.52741 + 1.02012i) q^{28} +(6.63996 - 0.954682i) q^{29} +(-0.0369314 - 0.0514320i) q^{30} +(-6.78073 + 4.35771i) q^{31} +(-1.44191 - 5.47000i) q^{32} +(0.00649652 - 0.00190755i) q^{33} +(-6.77206 + 1.33296i) q^{34} +(7.28909 + 6.31603i) q^{35} +(-3.04076 - 5.17201i) q^{36} +(1.00880 - 0.460705i) q^{37} +(-0.923489 + 10.0921i) q^{38} +(0.0423211 + 0.0124266i) q^{39} +(2.62422 - 9.34532i) q^{40} +(4.82497 - 10.5652i) q^{41} +(-0.0359296 - 0.0373852i) q^{42} +(-0.804634 + 1.25204i) q^{43} +(0.850236 + 0.595389i) q^{44} -10.2950i q^{45} +(-3.87631 - 5.56545i) q^{46} -5.81394 q^{47} +(-0.0186276 + 0.0487467i) q^{48} +(0.755644 + 0.485623i) q^{49} +(6.91091 - 6.64182i) q^{50} +(0.0579172 + 0.0264499i) q^{51} +(2.56260 + 6.25741i) q^{52} +(-0.838810 + 2.85672i) q^{53} +(-0.0100873 + 0.110237i) q^{54} +(0.739893 + 1.62014i) q^{55} +(1.03799 - 7.88089i) q^{56} +(0.0612223 - 0.0706543i) q^{57} +(-1.83217 - 9.30828i) q^{58} +(1.75773 + 5.98626i) q^{59} +(-0.0699481 + 0.0559072i) q^{60} +(2.93487 + 4.56674i) q^{61} +(6.64864 + 9.25913i) q^{62} +(-1.19981 - 8.34485i) q^{63} +(-7.62041 + 2.43504i) q^{64} +(-1.65125 + 11.4847i) q^{65} +(-0.00316748 - 0.00903626i) q^{66} +(0.599731 - 0.519670i) q^{67} +(2.37605 + 9.46729i) q^{68} +(-0.000899469 + 0.0625607i) q^{69} +(8.38921 - 10.7549i) q^{70} +(-3.48690 - 4.02409i) q^{71} +(-7.08304 + 4.67145i) q^{72} +(0.305476 - 2.12463i) q^{73} +(-0.724179 - 1.39120i) q^{74} +(-0.0875229 + 0.0125839i) q^{75} +(14.3207 + 0.568889i) q^{76} +(0.788552 + 1.22701i) q^{77} +(0.0144667 - 0.0606771i) q^{78} +(-5.66448 + 1.66324i) q^{79} +(-13.3899 - 3.02530i) q^{80} +(-5.89274 + 6.80059i) q^{81} +(-15.2732 - 6.04461i) q^{82} +(12.6509 - 5.77749i) q^{83} +(-0.0501824 + 0.0534688i) q^{84} +(-4.71875 + 16.0706i) q^{85} +(1.82693 + 1.04518i) q^{86} +(-0.0363557 + 0.0796079i) q^{87} +(0.778935 - 1.24420i) q^{88} +(3.08831 + 1.98473i) q^{89} +(-14.5400 + 0.750171i) q^{90} +9.50164i q^{91} +(-7.57782 + 5.88019i) q^{92} -0.105156i q^{93} +(0.423647 + 8.21123i) q^{94} +(20.6888 + 13.2959i) q^{95} +(0.0702041 + 0.0227564i) q^{96} +(-2.18580 + 4.78624i) q^{97} +(0.630801 - 1.10261i) q^{98} +(0.438622 - 1.49381i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 220 q - 11 q^{2} - 11 q^{4} - 14 q^{6} - 22 q^{7} - 14 q^{8} - 9 q^{10} - 12 q^{12} - 3 q^{14} - 22 q^{15} + 5 q^{16} - 18 q^{17} - 4 q^{18} - 27 q^{20} - 42 q^{22} - 16 q^{23} - 22 q^{24} - 4 q^{25} - 16 q^{26}+ \cdots + 109 q^{98}+O(q^{100}) $ 220 * q - 11 * q^2 - 11 * q^4 - 14 * q^6 - 22 * q^7 - 14 * q^8 - 9 * q^10 - 12 * q^12 - 3 * q^14 - 22 * q^15 + 5 * q^16 - 18 * q^17 - 4 * q^18 - 27 * q^20 - 42 * q^22 - 16 * q^23 - 22 * q^24 - 4 * q^25 - 16 * q^26 - 17 * q^28 - 37 * q^30 - 34 * q^31 - 11 * q^32 - 30 * q^33 - 23 * q^34 + 37 * q^36 - 78 * q^38 - 18 * q^39 + 99 * q^40 - 18 * q^41 - 77 * q^42 + 48 * q^44 - 99 * q^46 - 40 * q^47 + 116 * q^48 - 28 * q^49 - 60 * q^50 + 98 * q^52 - 114 * q^54 - 38 * q^55 + 66 * q^56 - 30 * q^57 - 51 * q^58 - 45 * q^60 + 18 * q^62 + 18 * q^63 - 14 * q^64 - 38 * q^65 - 12 * q^66 + 10 * q^68 - 38 * q^70 - 26 * q^71 + 55 * q^72 - 18 * q^73 + 10 * q^74 + 72 * q^76 + 42 * q^78 - 22 * q^79 + 66 * q^80 - 52 * q^81 + 64 * q^82 + 125 * q^84 + 121 * q^86 - 42 * q^87 + 17 * q^88 - 2 * q^89 + 204 * q^90 + 88 * q^92 + 105 * q^94 - 78 * q^95 + 157 * q^96 - 18 * q^97 + 109 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/184\mathbb{Z}\right)^\times$.

$n$	$47$	$93$	$97$
$\chi(n)$	$1$	$-1$	$e\left(\frac{7}{11}\right)$

Coefficient data

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

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

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

$2$	−0.0728674	−	1.41234i	−0.0515250	−	0.998672i
$2$	−0.0728674	−	1.41234i	−0.0515250	−	0.998672i
$3$	−0.00705328	+	0.0109751i	−0.00407221	+	0.00633649i	−0.843284	−	0.537469i	$-0.819381\pi$
$3$	−0.00705328	+	0.0109751i	−0.00407221	+	0.00633649i	0.839211	+	0.543805i	$0.183017\pi$
$4$	−1.98938	+	0.205826i	−0.994690	+	0.102913i
$5$	−3.12173	−	1.42565i	−1.39608	−	0.637569i	−0.431684	−	0.902025i	$-0.642081\pi$
$5$	−3.12173	−	1.42565i	−1.39608	−	0.637569i	−0.964398	+	0.264455i	$0.914808\pi$
$6$	0.0160145	+	0.00916187i	0.00653789	+	0.00374032i
$7$	−2.69654	−	0.791776i	−1.01920	−	0.299263i	−0.270886	−	0.962612i	$-0.587317\pi$
$7$	−2.69654	−	0.791776i	−1.01920	−	0.299263i	−0.748311	+	0.663348i	$0.769135\pi$
$8$	0.435657	+	2.79467i	0.154028	+	0.988066i
$9$	1.24617	+	2.72874i	0.415391	+	0.909580i
$10$	−1.78602	+	4.51282i	−0.564789	+	1.42708i
$11$	−0.392224	−	0.339864i	−0.118260	−	0.102473i	0.593723	−	0.804669i	$-0.297657\pi$
$11$	−0.392224	−	0.339864i	−0.118260	−	0.102473i	−0.711983	+	0.702196i	$0.752203\pi$
$12$	0.0117727	−	0.0232854i	0.00339848	−	0.00672193i
$13$	−0.952512	−	3.24396i	−0.264179	−	0.899712i	−0.979590	−	0.201007i	$-0.935578\pi$
$13$	−0.952512	−	3.24396i	−0.264179	−	0.899712i	0.715410	−	0.698704i	$-0.246240\pi$
$14$	−0.921762	+	3.86611i	−0.246351	+	1.03326i
$15$	0.0376651	−	0.0242059i	0.00972509	−	0.00624994i
$16$	3.91527	−	0.818934i	0.978818	−	0.204734i
$17$	−0.694560	−	4.83077i	−0.168456	−	1.17163i	−0.882078	−	0.471104i	$-0.843856\pi$
$17$	−0.694560	−	4.83077i	−0.168456	−	1.17163i	0.713622	−	0.700531i	$-0.247053\pi$
$18$	3.76309	−	1.95885i	0.886969	−	0.461706i
$19$	−7.09308	−	1.01983i	−1.62726	−	0.233965i	−0.732586	−	0.680675i	$-0.761687\pi$
$19$	−7.09308	−	1.01983i	−1.62726	−	0.233965i	−0.894679	+	0.446710i	$0.852596\pi$
$20$	6.50375	+	2.19362i	1.45428	+	0.490509i
$21$	0.0277093	−	0.0240102i	0.00604666	−	0.00523946i
$22$	−0.451422	+	0.578717i	−0.0962435	+	0.123383i
$23$	4.07137	−	2.53455i	0.848939	−	0.528491i
$23$	4.07137	−	2.53455i	0.848939	−	0.528491i
$24$	−0.0337447	−	0.0149302i	−0.00688811	−	0.00304762i
$25$	4.43845	+	5.12224i	0.887690	+	1.02445i
$26$	−4.51215	+	1.58164i	−0.884905	+	0.310186i
$27$	−0.0774779	−	0.0111396i	−0.0149106	−	0.00214383i
$28$	5.52741	+	1.02012i	1.04458	+	0.192785i
$29$	6.63996	−	0.954682i	1.23301	−	0.177280i	0.505165	−	0.863023i	$-0.331432\pi$
$29$	6.63996	−	0.954682i	1.23301	−	0.177280i	0.727844	+	0.685743i	$0.240523\pi$
$30$	−0.0369314	−	0.0514320i	−0.00674272	−	0.00939015i
$31$	−6.78073	+	4.35771i	−1.21786	+	0.782668i	−0.981956	−	0.189109i	$-0.939440\pi$
$31$	−6.78073	+	4.35771i	−1.21786	+	0.782668i	−0.235899	+	0.971777i	$0.575804\pi$
$32$	−1.44191	−	5.47000i	−0.254895	−	0.966969i
$33$	0.00649652	−	0.00190755i	0.00113090	−	0.000332062i
$34$	−6.77206	+	1.33296i	−1.16140	+	0.228600i
$35$	7.28909	+	6.31603i	1.23208	+	1.06760i
$36$	−3.04076	−	5.17201i	−0.506794	−	0.862002i
$37$	1.00880	−	0.460705i	0.165846	−	0.0757395i	−0.330762	−	0.943714i	$-0.607306\pi$
$37$	1.00880	−	0.460705i	0.165846	−	0.0757395i	0.496608	+	0.867975i	$0.334579\pi$
$38$	−0.923489	+	10.0921i	−0.149810	+	1.63716i
$39$	0.0423211	+	0.0124266i	0.00677681	+	0.00198985i
$40$	2.62422	−	9.34532i	0.414925	−	1.47763i
$41$	4.82497	−	10.5652i	0.753533	−	1.65001i	−0.00637756	−	0.999980i	$-0.502030\pi$
$41$	4.82497	−	10.5652i	0.753533	−	1.65001i	0.759911	−	0.650028i	$-0.225243\pi$
$42$	−0.0359296	−	0.0373852i	−0.00554406	−	0.00576867i
$43$	−0.804634	+	1.25204i	−0.122706	+	0.190934i	−0.897172	−	0.441682i	$-0.854382\pi$
$43$	−0.804634	+	1.25204i	−0.122706	+	0.190934i	0.774466	+	0.632615i	$0.218018\pi$
$44$	0.850236	+	0.595389i	0.128178	+	0.0897583i
$45$		−	10.2950i		−	1.53469i
$46$	−3.87631	−	5.56545i	−0.571531	−	0.820581i
$47$	−5.81394			−0.848051			−0.424025	−	0.905650i	$-0.639383\pi$
$47$	−5.81394			−0.848051			−0.424025	+	0.905650i	$0.639383\pi$
$48$	−0.0186276	+	0.0487467i	−0.00268866	+	0.00703599i
$49$	0.755644	+	0.485623i	0.107949	+	0.0693747i
$50$	6.91091	−	6.64182i	0.977350	−	0.939296i
$51$	0.0579172	+	0.0264499i	0.00811004	+	0.00370373i
$52$	2.56260	+	6.25741i	0.355369	+	0.867747i
$53$	−0.838810	+	2.85672i	−0.115219	+	0.392401i	−0.996829	−	0.0795789i	$-0.974642\pi$
$53$	−0.838810	+	2.85672i	−0.115219	+	0.392401i	0.881609	+	0.471980i	$0.156461\pi$
$54$	−0.0100873	+	0.110237i	−0.00137271	+	0.0150013i
$55$	0.739893	+	1.62014i	0.0997672	+	0.218460i
$56$	1.03799	−	7.88089i	0.138707	−	1.05313i
$57$	0.0612223	−	0.0706543i	0.00810909	−	0.00935838i
$58$	−1.83217	−	9.30828i	−0.240575	−	1.22224i
$59$	1.75773	+	5.98626i	0.228836	+	0.779345i	0.991220	+	0.132220i	$0.0422106\pi$
$59$	1.75773	+	5.98626i	0.228836	+	0.779345i	−0.762384	+	0.647125i	$0.775971\pi$
$60$	−0.0699481	+	0.0559072i	−0.00903026	+	0.00721759i
$61$	2.93487	+	4.56674i	0.375771	+	0.584711i	0.976705	−	0.214588i	$-0.0688407\pi$
$61$	2.93487	+	4.56674i	0.375771	+	0.584711i	−0.600934	+	0.799299i	$0.705204\pi$
$62$	6.64864	+	9.25913i	0.844379	+	1.17591i
$63$	−1.19981	−	8.34485i	−0.151162	−	1.05135i
$64$	−7.62041	+	2.43504i	−0.952551	+	0.304380i
$65$	−1.65125	+	11.4847i	−0.204813	+	1.42450i
$66$	−0.00316748	−	0.00903626i	−0.000389890	−	0.00111229i
$67$	0.599731	−	0.519670i	0.0732688	−	0.0634877i	−0.617457	−	0.786605i	$-0.711837\pi$
$67$	0.599731	−	0.519670i	0.0732688	−	0.0634877i	0.690725	+	0.723117i	$0.257291\pi$
$68$	2.37605	+	9.46729i	0.288138	+	1.14808i
$69$	−0.000899469		0.0625607i	−0.000108283		0.00753142i
$70$	8.38921	−	10.7549i	1.00270	−	1.28545i
$71$	−3.48690	−	4.02409i	−0.413818	−	0.477572i	0.510125	−	0.860100i	$-0.329599\pi$
$71$	−3.48690	−	4.02409i	−0.413818	−	0.477572i	−0.923944	+	0.382528i	$0.875054\pi$
$72$	−7.08304	+	4.67145i	−0.834744	+	0.550535i
$73$	0.305476	−	2.12463i	0.0357532	−	0.248669i	−0.964105	−	0.265522i	$-0.914456\pi$
$73$	0.305476	−	2.12463i	0.0357532	−	0.248669i	0.999858	+	0.0168529i	$0.00536471\pi$
$74$	−0.724179	−	1.39120i	−0.0841841	−	0.161724i
$75$	−0.0875229	+	0.0125839i	−0.0101063	+	0.00145306i
$76$	14.3207	+	0.568889i	1.64270	+	0.0652560i
$77$	0.788552	+	1.22701i	0.0898639	+	0.139831i
$78$	0.0144667	−	0.0606771i	0.00163803	−	0.00687033i
$79$	−5.66448	+	1.66324i	−0.637304	+	0.187129i	−0.584394	−	0.811470i	$-0.698668\pi$
$79$	−5.66448	+	1.66324i	−0.637304	+	0.187129i	−0.0529099	+	0.998599i	$0.516850\pi$
$80$	−13.3899	−	3.02530i	−1.49704	−	0.338239i
$81$	−5.89274	+	6.80059i	−0.654749	+	0.755621i
$82$	−15.2732	−	6.04461i	−1.68664	−	0.667515i
$83$	12.6509	−	5.77749i	1.38862	−	0.634162i	0.425927	−	0.904758i	$-0.359948\pi$
$83$	12.6509	−	5.77749i	1.38862	−	0.634162i	0.962693	+	0.270596i	$0.0872207\pi$
$84$	−0.0501824	+	0.0534688i	−0.00547535	+	0.00583392i
$85$	−4.71875	+	16.0706i	−0.511820	+	1.74310i
$86$	1.82693	+	1.04518i	0.197002	+	0.112705i
$87$	−0.0363557	+	0.0796079i	−0.00389774	+	0.00853487i
$88$	0.778935	−	1.24420i	0.0830347	−	0.132633i
$89$	3.08831	+	1.98473i	0.327360	+	0.210381i	0.693989	−	0.719986i	$-0.255852\pi$
$89$	3.08831	+	1.98473i	0.327360	+	0.210381i	−0.366629	+	0.930367i	$0.619488\pi$
$90$	−14.5400	+	0.750171i	−1.53265	+	0.0790750i
$91$			9.50164i			0.996042i
$92$	−7.57782	+	5.88019i	−0.790043	+	0.613052i
$93$		−	0.105156i		−	0.0109041i
$94$	0.423647	+	8.21123i	0.0436958	+	0.846924i
$95$	20.6888	+	13.2959i	2.12263	+	1.36413i
$96$	0.0702041	+	0.0227564i	0.00716517	+	0.00232256i
$97$	−2.18580	+	4.78624i	−0.221934	+	0.485969i	−0.987545	−	0.157335i	$-0.949710\pi$
$97$	−2.18580	+	4.78624i	−0.221934	+	0.485969i	0.765611	+	0.643304i	$0.222437\pi$
$98$	0.630801	−	1.10261i	0.0637205	−	0.111380i
$99$	0.438622	−	1.49381i	0.0440831	−	0.150133i
$100$	−9.88406	−	9.27654i	−0.988406	−	0.927654i
$101$	−14.2221	+	6.49500i	−1.41515	+	0.646277i	−0.968632	−	0.248498i	$-0.920063\pi$
$101$	−14.2221	+	6.49500i	−1.41515	+	0.646277i	−0.446517	+	0.894775i	$0.647336\pi$
$102$	0.0331359	−	0.0837259i	0.00328094	−	0.00829010i
$103$	2.90495	−	3.35249i	0.286233	−	0.330330i	−0.594364	−	0.804196i	$-0.702596\pi$
$103$	2.90495	−	3.35249i	0.286233	−	0.330330i	0.880597	+	0.473866i	$0.157142\pi$
$104$	8.65083	−	4.07521i	0.848284	−	0.399607i
$105$	−0.120731	+	0.0354499i	−0.0117822	+	0.00345955i
$106$	4.09577	+	0.976519i	0.397817	+	0.0948479i
$107$	−6.92245	−	10.7715i	−0.669218	−	1.04132i	−0.995380	−	0.0960102i	$-0.969392\pi$
$107$	−6.92245	−	10.7715i	−0.669218	−	1.04132i	0.326162	−	0.945314i	$-0.394245\pi$
$108$	0.156426	+	0.00621399i	0.0150521	+	0.000597942i
$109$	3.58345	−	0.515222i	0.343232	−	0.0493493i	0.0314565	−	0.999505i	$-0.489985\pi$
$109$	3.58345	−	0.515222i	0.343232	−	0.0493493i	0.311775	+	0.950156i	$0.399076\pi$
$110$	2.23427	−	1.16303i	0.213029	−	0.110891i
$111$	−0.00205908	+	0.0143212i	−0.000195439	+	0.00135931i
$112$	−11.2061	−	0.891727i	−1.05888	−	0.0842603i
$113$	−5.84363	−	6.74391i	−0.549723	−	0.634414i	0.411096	−	0.911592i	$-0.365146\pi$
$113$	−5.84363	−	6.74391i	−0.549723	−	0.634414i	−0.960818	+	0.277178i	$0.910601\pi$
$114$	−0.104249	−	0.0813180i	−0.00976378	−	0.00761612i
$115$	−16.3231	+	2.10787i	−1.52214	+	0.196559i
$116$	−13.0129	+	3.26590i	−1.20822	+	0.303232i
$117$	7.66492	−	6.64169i	0.708622	−	0.614025i
$118$	8.32653	−	2.91870i	0.766519	−	0.268688i
$119$	−1.95198	+	13.5763i	−0.178938	+	1.24454i
$120$	0.0840567	+	0.0947163i	0.00767329	+	0.00864637i
$121$	−1.52713	−	10.6214i	−0.138830	−	0.965585i
$122$	6.23591	−	4.47778i	0.564573	−	0.405399i
$123$	0.0819225	+	0.127474i	0.00738670	+	0.0114939i
$124$	12.5925	−	10.0648i	1.13084	−	0.903846i
$125$	−1.71880	−	5.85370i	−0.153734	−	0.523571i
$126$	−11.6983	+	2.30260i	−1.04217	+	0.205132i
$127$	9.01925	−	10.4088i	0.800329	−	0.923629i	−0.198070	−	0.980188i	$-0.563467\pi$
$127$	9.01925	−	10.4088i	0.800329	−	0.923629i	0.998399	+	0.0565590i	$0.0180129\pi$
$128$	3.99437	+	10.5851i	0.353056	+	0.935602i
$129$	−0.00806593	−	0.0176619i	−0.000710165	−	0.00155504i
$130$	16.3406	+	1.49526i	1.43317	+	0.131143i
$131$	−1.06913	+	3.64111i	−0.0934101	+	0.318126i	−0.992922	−	0.118771i	$-0.962104\pi$
$131$	−1.06913	+	3.64111i	−0.0934101	+	0.318126i	0.899512	+	0.436897i	$0.143923\pi$
$132$	−0.0125314	+	0.00513200i	−0.00109072	+	0.000446683i
$133$	18.3193	+	8.36614i	1.58848	+	0.725437i
$134$	−0.777648	−	0.809154i	−0.0671786	−	0.0699002i
$135$	0.225984	+	0.145231i	0.0194496	+	0.0124995i
$136$	13.1978	−	4.04563i	1.13171	−	0.346910i
$137$	1.67161			0.142815			0.0714077	−	0.997447i	$-0.477251\pi$
$137$	1.67161			0.142815			0.0714077	+	0.997447i	$0.477251\pi$
$138$	0.0884222	−	0.00328828i	0.00752699	−	0.000279917i
$139$		−	6.96858i		−	0.591068i	−0.955332	−	0.295534i	$-0.904503\pi$
$139$		−	6.96858i		−	0.591068i	0.955332	−	0.295534i	$-0.0954975\pi$
$140$	−15.8008	−	11.0647i	−1.33541	−	0.935138i
$141$	0.0410074	−	0.0638087i	0.00345344	−	0.00537366i
$142$	−5.42929	+	5.21789i	−0.455616	+	0.437876i
$143$	−0.728907	+	1.59608i	−0.0609543	+	0.133471i
$144$	7.11377	+	9.66323i	0.592814	+	0.805269i
$145$	−22.0892	−	6.48598i	−1.83441	−	0.538631i
$146$	−3.02295	−	0.276618i	−0.250181	−	0.0228931i
$147$	−0.0106595	+	0.00486805i	−0.000879184	+	0.000401510i
$148$	−1.91207	+	1.12416i	−0.157171	+	0.0924051i
$149$	−6.72728	−	5.82922i	−0.551121	−	0.477549i	0.334218	−	0.942496i	$-0.391528\pi$
$149$	−6.72728	−	5.82922i	−0.551121	−	0.477549i	−0.885338	+	0.464947i	$0.846073\pi$
$150$	0.0241502	+	0.122695i	0.00197186	+	0.0100180i
$151$	−2.66882	+	0.783637i	−0.217186	+	0.0637715i	−0.388515	−	0.921442i	$-0.627012\pi$
$151$	−2.66882	+	0.783637i	−0.217186	+	0.0637715i	0.171329	+	0.985214i	$0.445194\pi$
$152$	−0.240054	−	20.2671i	−0.0194710	−	1.64388i
$153$	12.3164	−	7.91526i	0.995721	−	0.639911i
$154$	1.67549	−	1.20311i	0.135015	−	0.0969493i
$155$	27.3802	−	3.93668i	2.19923	−	0.316202i
$156$	−0.0867506	−	0.0160104i	−0.00694561	−	0.00128186i
$157$	−13.8868	−	1.99661i	−1.10828	−	0.159347i	−0.436220	−	0.899840i	$-0.643683\pi$
$157$	−13.8868	−	1.99661i	−1.10828	−	0.159347i	−0.672064	+	0.740493i	$0.734592\pi$
$158$	2.76181	+	7.87895i	0.219718	+	0.626816i
$159$	−0.0254365	−	0.0293553i	−0.00201725	−	0.00232803i
$160$	−3.29705	+	19.1315i	−0.260655	+	1.51248i
$161$	−12.9854	+	3.61092i	−1.02339	+	0.284580i
$162$	10.0341	+	7.82699i	0.788353	+	0.614946i
$163$	0.0376941	−	0.0326621i	0.00295243	−	0.00255830i	−0.653383	−	0.757027i	$-0.726651\pi$
$163$	0.0376941	−	0.0326621i	0.00295243	−	0.00255830i	0.656336	+	0.754469i	$0.272106\pi$
$164$	−7.42410	+	22.0113i	−0.579725	+	1.71879i
$165$	−0.0229999	−	0.00330689i	−0.00179054	−	0.000257441i
$166$	−9.08159	−	17.4464i	−0.704868	−	1.35410i
$167$	0.577375	+	4.01573i	0.0446786	+	0.310746i	0.999890	+	0.0148226i	$0.00471835\pi$
$167$	0.577375	+	4.01573i	0.0446786	+	0.310746i	−0.955212	+	0.295924i	$0.904373\pi$
$168$	0.0791725	+	0.0669782i	0.00610829	+	0.00516748i
$169$	1.32032	−	0.848515i	0.101563	−	0.0652704i
$170$	23.0409	+	5.49344i	1.76716	+	0.421327i
$171$	−6.05636	−	20.6261i	−0.463141	−	1.57732i
$172$	1.34302	−	2.65639i	0.102404	−	0.202548i
$173$	18.3676	+	15.9156i	1.39646	+	1.21004i	0.948817	+	0.315828i	$0.102282\pi$
$173$	18.3676	+	15.9156i	1.39646	+	1.21004i	0.447644	+	0.894212i	$0.352263\pi$
$174$	0.115082	+	0.0455456i	0.00872436	+	0.00345281i
$175$	−7.91279	−	17.3266i	−0.598151	−	1.30977i
$176$	−1.81399	−	1.00945i	−0.136735	−	0.0760905i
$177$	−0.0780977	−	0.0229316i	−0.00587018	−	0.00172364i
$178$	2.57807	−	4.50635i	0.193235	−	0.337765i
$179$	−12.5523	−	5.73244i	−0.938202	−	0.428463i	−0.113187	−	0.993574i	$-0.536106\pi$
$179$	−12.5523	−	5.73244i	−0.938202	−	0.428463i	−0.825015	+	0.565111i	$0.808833\pi$
$180$	2.11899	+	20.4807i	0.157940	+	1.52654i
$181$	7.33978	−	11.4209i	0.545562	−	0.848911i	−0.453542	−	0.891235i	$-0.649840\pi$
$181$	7.33978	−	11.4209i	0.545562	−	0.848911i	0.999104	+	0.0423240i	$0.0134762\pi$
$182$	13.4195	−	0.692360i	0.994719	−	0.0513211i
$183$	−0.0708210			−0.00523524
$184$	8.85697	+	10.2740i	0.652945	+	0.757406i
$185$	−3.80602			−0.279824
$186$	−0.148515	+	0.00766241i	−0.0108896	+	0.000561835i
$187$	−1.36938	+	2.13080i	−0.100139	+	0.155820i
$188$	11.5661	−	1.19666i	0.843548	−	0.0872756i
$189$	0.200102	+	0.0913836i	0.0145553	+	0.00664718i
$190$	17.2707	−	30.1883i	1.25295	−	2.19009i
$191$	19.0058	+	5.58062i	1.37521	+	0.403800i	0.884101	−	0.467296i	$-0.154772\pi$
$191$	19.0058	+	5.58062i	1.37521	+	0.403800i	0.491114	+	0.871095i	$0.336590\pi$
$192$	0.0270240	−	0.100810i	0.00195029	−	0.00727533i
$193$	2.04264	+	4.47276i	0.147033	+	0.321956i	0.968791	−	0.247880i	$-0.0797339\pi$
$193$	2.04264	+	4.47276i	0.147033	+	0.321956i	−0.821758	+	0.569836i	$0.807007\pi$
$194$	6.91904	+	2.73832i	0.496758	+	0.196600i
$195$	−0.114399	−	0.0991277i	−0.00819231	−	0.00709868i
$196$	−1.60322	−	0.810558i	−0.114516	−	0.0578970i
$197$	−5.05196	−	17.2054i	−0.359937	−	1.22583i	−0.918183	−	0.396157i	$-0.870344\pi$
$197$	−5.05196	−	17.2054i	−0.359937	−	1.22583i	0.558246	−	0.829676i	$-0.311475\pi$
$198$	−2.14172	−	0.510631i	−0.152205	−	0.0362890i
$199$	12.9304	−	8.30985i	0.916610	−	0.589070i	0.00493787	−	0.999988i	$-0.498428\pi$
$199$	12.9304	−	8.30985i	0.916610	−	0.589070i	0.911672	+	0.410918i	$0.134792\pi$
$200$	−12.3814	+	14.6356i	−0.875494	+	1.03489i
$201$	0.00147337	+	0.0102475i	0.000103923	+	0.000722802i
$202$	10.2094	+	19.6131i	0.718334	+	1.37997i
$203$	−18.6608	−	2.68302i	−1.30973	−	0.188311i
$204$	−0.120664	−	0.0406981i	−0.00844814	−	0.00284943i
$205$	−30.1245	+	26.1030i	−2.10399	+	1.82312i
$206$	−4.94651	−	3.85847i	−0.344640	−	0.268832i
$207$	11.9898	+	7.95121i	0.833347	+	0.552647i
$208$	−6.38593	−	11.9209i	−0.442785	−	0.826568i
$209$	2.43547	+	2.81069i	0.168465	+	0.194419i
$210$	0.0588645	+	0.167930i	0.00406203	+	0.0115883i
$211$	7.43753	+	1.06936i	0.512021	+	0.0736175i	0.393483	−	0.919332i	$-0.371270\pi$
$211$	7.43753	+	1.06936i	0.512021	+	0.0736175i	0.118538	+	0.992949i	$0.462179\pi$
$212$	1.08072	−	5.85576i	0.0742244	−	0.402175i
$213$	0.0687590	−	0.00988604i	0.00471129	−	0.000677381i
$214$	−14.7086	+	10.5617i	−1.00546	+	0.721984i
$215$	4.29682	−	2.76140i	0.293040	−	0.188326i
$216$	−0.00262212	−	0.221379i	−0.000178413	−	0.0150629i
$217$	21.7348	−	6.38193i	1.47546	−	0.433233i
$218$	−0.988782	−	5.02348i	−0.0669688	−	0.340233i
$219$	0.0211635	+	0.0183383i	0.00143010	+	0.00123918i
$220$	−1.80540	−	3.07079i	−0.121720	−	0.207032i
$221$	−15.0092	+	6.85449i	−1.00963	+	0.461083i
$222$	0.0203764	+	0.00186456i	0.00136758	+	0.000125141i
$223$	−1.18424	−	0.347724i	−0.0793026	−	0.0232853i	0.241841	−	0.970316i	$-0.422249\pi$
$223$	−1.18424	−	0.347724i	−0.0793026	−	0.0232853i	−0.321143	+	0.947031i	$0.604067\pi$
$224$	−0.442858	+	15.8917i	−0.0295897	+	1.06181i
$225$	−8.44620	+	18.4946i	−0.563080	+	1.23297i
$226$	−9.09885	+	8.74458i	−0.605247	+	0.581681i
$227$	13.8518	−	21.5539i	0.919379	−	1.43058i	0.0168954	−	0.999857i	$-0.494622\pi$
$227$	13.8518	−	21.5539i	0.919379	−	1.43058i	0.902484	−	0.430724i	$-0.141742\pi$
$228$	−0.107252	+	0.153159i	−0.00710293	+	0.0101432i
$229$		−	13.2661i		−	0.876645i	−0.898818	−	0.438323i	$-0.855573\pi$
$229$		−	13.2661i		−	0.876645i	0.898818	−	0.438323i	$-0.144427\pi$
$230$	4.16644	+	22.9001i	0.274727	+	1.50999i
$231$	−0.0190285			−0.00125198
$232$	5.56077	+	18.1406i	0.365082	+	1.19099i
$233$	−3.12346	−	2.00732i	−0.204625	−	0.131504i	0.434315	−	0.900761i	$-0.356990\pi$
$233$	−3.12346	−	2.00732i	−0.204625	−	0.131504i	−0.638940	+	0.769257i	$0.720627\pi$
$234$	−9.93882	−	10.3415i	−0.649721	−	0.676044i
$235$	18.1496	+	8.28864i	1.18395	+	0.540691i
$236$	−4.72892	−	11.5472i	−0.307826	−	0.751657i
$237$	0.0216989	−	0.0738997i	0.00140950	−	0.00480030i
$238$	19.3165	+	1.76758i	1.25210	+	0.114575i
$239$	−8.86979	−	19.4221i	−0.573739	−	1.25631i	−0.944782	−	0.327698i	$-0.893727\pi$
$239$	−8.86979	−	19.4221i	−0.573739	−	1.25631i	0.371043	−	0.928616i	$-0.379000\pi$
$240$	0.127646	−	0.125618i	0.00823952	−	0.00810860i
$241$	−14.8627	+	17.1524i	−0.957388	+	1.10488i	0.0370242	+	0.999314i	$0.488212\pi$
$241$	−14.8627	+	17.1524i	−0.957388	+	1.10488i	−0.994412	+	0.105570i	$0.966333\pi$
$242$	−14.8897	+	2.93078i	−0.957149	+	0.188397i
$243$	−0.0992317	−	0.337952i	−0.00636571	−	0.0216796i
$244$	−6.77852	−	8.48092i	−0.433951	−	0.542935i
$245$	−1.66659	−	2.59327i	−0.106475	−	0.165678i
$246$	0.174066	−	0.124991i	0.0110981	−	0.00796912i
$247$	3.44796	+	23.9811i	0.219388	+	1.52588i
$248$	−15.1325	−	17.0515i	−0.960912	−	1.08277i
$249$	−0.0258220	+	0.179596i	−0.00163640	+	0.0113814i
$250$	−8.14214	+	2.85407i	−0.514954	+	0.180507i
$251$	−11.8535	+	10.2711i	−0.748188	+	0.648308i	−0.943099	−	0.332512i	$-0.892104\pi$
$251$	−11.8535	+	10.2711i	−0.748188	+	0.648308i	0.194911	+	0.980821i	$0.437558\pi$
$252$	4.10447	+	16.3541i	0.258557	+	1.03021i
$253$	−2.45829	−	0.389599i	−0.154552	−	0.0244939i
$254$	−15.3579	−	11.9797i	−0.963639	−	0.751676i
$255$	−0.143094	−	0.165139i	−0.00896089	−	0.0103414i
$256$	14.6587	−	6.41270i	0.916168	−	0.400794i
$257$	2.42659	−	16.8773i	0.151367	−	1.05278i	−0.762565	−	0.646911i	$-0.776060\pi$
$257$	2.42659	−	16.8773i	0.151367	−	1.05278i	0.913932	−	0.405867i	$-0.133031\pi$
$258$	−0.0243568	+	0.0126788i	−0.00151639	+	0.000789346i
$259$	−3.08506	+	0.443564i	−0.191696	+	0.0275617i
$260$	0.921113	−	23.1874i	0.0571250	−	1.43802i
$261$	10.8796	+	16.9290i	0.673432	+	1.04788i
$262$	5.22038	+	1.24465i	0.322516	+	0.0768946i
$263$	−9.53174	+	2.79877i	−0.587752	+	0.172580i	−0.562069	−	0.827091i	$-0.689994\pi$
$263$	−9.53174	+	2.79877i	−0.587752	+	0.172580i	−0.0256834	+	0.999670i	$0.508176\pi$
$264$	0.00816123	+	0.0173246i	0.000502289	+	0.00106626i
$265$	6.69123	−	7.72209i	0.411039	−	0.474364i
$266$	10.4809	−	26.4826i	0.642626	−	1.62375i
$267$	−0.0435654	+	0.0198956i	−0.00266616	+	0.00121759i
$268$	−1.08613	+	1.15726i	−0.0663460	+	0.0706910i
$269$	2.57278	−	8.76208i	0.156865	−	0.534233i	−0.843129	−	0.537712i	$-0.819289\pi$
$269$	2.57278	−	8.76208i	0.156865	−	0.534233i	0.999994	+	0.00347817i	$0.00110714\pi$
$270$	0.188648	−	0.329748i	0.0114808	−	0.0200678i
$271$	0.425333	−	0.931348i	0.0258371	−	0.0565754i	−0.896273	−	0.443502i	$-0.853736\pi$
$271$	0.425333	−	0.931348i	0.0258371	−	0.0565754i	0.922111	+	0.386926i	$0.126463\pi$
$272$	−6.67548	−	18.3450i	−0.404760	−	1.11233i
$273$	−0.104282	−	0.0670177i	−0.00631141	−	0.00405610i
$274$	−0.121806	−	2.36088i	−0.00735857	−	0.142626i
$275$		−	3.51754i		−	0.212116i
$276$	−0.0110873	−	0.124642i	−0.000667374	−	0.00750257i
$277$		−	10.9582i		−	0.658414i	−0.944258	−	0.329207i	$-0.893219\pi$
$277$		−	10.9582i		−	0.658414i	0.944258	−	0.329207i	$-0.106781\pi$
$278$	−9.84198	+	0.507783i	−0.590283	+	0.0304548i
$279$	−20.3410	−	13.0724i	−1.21779	−	0.782624i
$280$	−14.4757	+	23.1222i	−0.865089	+	1.38182i
$281$	3.94038	−	8.62822i	0.235063	−	0.514716i	−0.754935	−	0.655800i	$-0.772331\pi$
$281$	3.94038	−	8.62822i	0.235063	−	0.514716i	0.989998	+	0.141084i	$0.0450587\pi$
$282$	−0.0931074	−	0.0532666i	−0.00554446	−	0.00317198i
$283$	−2.93394	+	9.99209i	−0.174405	+	0.593968i	0.825172	+	0.564881i	$0.191078\pi$
$283$	−2.93394	+	9.99209i	−0.174405	+	0.593968i	−0.999577	+	0.0290867i	$0.990740\pi$
$284$	7.76503	+	7.28776i	0.460770	+	0.432449i
$285$	−0.291848	+	0.133282i	−0.0172876	+	0.00789497i
$286$	2.30732	+	0.913158i	0.136435	+	0.0539962i
$287$	−21.3760	+	24.6692i	−1.26178	+	1.45618i
$288$	13.1294	−	10.7512i	0.773654	−	0.633518i
$289$	−6.54257	+	1.92107i	−0.384857	+	0.113004i
$290$	−7.55079	+	31.6700i	−0.443398	+	1.85973i
$291$	−0.0371124	−	0.0577481i	−0.00217557	−	0.00338525i
$292$	−0.170403	+	4.28958i	−0.00997206	+	0.251028i
$293$	−0.0488973	+	0.00703037i	−0.00285661	+	0.000410719i	−0.143743	−	0.989615i	$-0.545914\pi$
$293$	−0.0488973	+	0.00703037i	−0.00285661	+	0.000410719i	0.140886	+	0.990026i	$0.455005\pi$
$294$	0.00765205	+	0.0147001i	0.000446277	+	0.000857328i
$295$	3.04715	−	21.1934i	0.177412	−	1.23393i
$296$	1.72701	+	2.61857i	0.100381	+	0.152201i
$297$	0.0266028	+	0.0307012i	0.00154365	+	0.00178147i
$298$	−7.74262	+	9.92594i	−0.448518	+	0.574994i
$299$	−12.1000	−	10.7932i	−0.699762	−	0.624184i
$300$	0.171526	−	0.0430487i	0.00990307	−	0.00248542i
$301$	3.16106	−	2.73907i	0.182200	−	0.157878i
$302$	1.30123	+	3.71217i	0.0748773	+	0.213612i
$303$	0.0290288	−	0.201900i	0.00166766	−	0.0115989i
$304$	−28.6065	+	1.81585i	−1.64070	+	0.104146i
$305$	−2.65131	−	18.4402i	−0.151813	−	1.05589i
$306$	−12.0765	−	16.8181i	−0.690365	−	0.961427i
$307$	−0.277611	−	0.431971i	−0.0158441	−	0.0246539i	0.833241	−	0.552910i	$-0.186483\pi$
$307$	−0.277611	−	0.431971i	−0.0158441	−	0.0246539i	−0.849085	+	0.528256i	$0.822846\pi$
$308$	−1.82128	−	2.27869i	−0.103777	−	0.129840i
$309$	0.0163045	+	0.0555281i	0.000927532	+	0.00315889i
$310$	−7.55504	−	38.3832i	−0.429097	−	2.18002i
$311$	−9.64706	+	11.1333i	−0.547034	+	0.631311i	−0.960190	−	0.279349i	$-0.909881\pi$
$311$	−9.64706	+	11.1333i	−0.547034	+	0.631311i	0.413155	+	0.910661i	$0.364427\pi$
$312$	−0.0162908	+	0.123688i	−0.000922286	+	0.00700243i
$313$	10.3547	+	22.6736i	0.585281	+	1.28159i	0.938252	+	0.345953i	$0.112444\pi$
$313$	10.3547	+	22.6736i	0.585281	+	1.28159i	−0.352970	+	0.935634i	$0.614828\pi$
$314$	−1.80800	+	19.7582i	−0.102031	+	1.11502i
$315$	−8.15134	+	27.7609i	−0.459276	+	1.56415i
$316$	10.9265	−	4.47472i	0.614662	−	0.251723i
$317$	12.9122	+	5.89680i	0.725220	+	0.331197i	0.743591	−	0.668634i	$-0.233121\pi$
$317$	12.9122	+	5.89680i	0.725220	+	0.331197i	−0.0183712	+	0.999831i	$0.505848\pi$
$318$	−0.0396061	+	0.0380639i	−0.00222100	+	0.00213452i
$319$	−2.92881	−	1.88223i	−0.163982	−	0.105385i
$320$	27.2604	+	3.26248i	1.52390	+	0.182378i
$321$	0.167045			0.00932354
$322$	6.04604	+	18.0766i	0.336932	+	1.00737i
$323$			34.9734i			1.94597i
$324$	10.3232	−	14.7418i	0.573509	−	0.818991i
$325$	12.3887	−	19.2771i	0.687199	−	1.06930i
$326$	−0.0488765	−	0.0508567i	−0.00270702	−	0.00281669i
$327$	−0.0196204	+	0.0429628i	−0.00108501	+	0.00237585i
$328$	31.6283	+	8.88140i	1.74638	+	0.490394i
$329$	15.6775	+	4.60334i	0.864330	+	0.253790i
$330$	−0.00299449	+	0.0327245i	−0.000164841	+	0.00180143i
$331$	−25.1210	+	11.4724i	−1.38077	+	0.630578i	−0.960872	−	0.276992i	$-0.910663\pi$
$331$	−25.1210	+	11.4724i	−1.38077	+	0.630578i	−0.419901	+	0.907570i	$0.637935\pi$
$332$	−23.9784	+	14.0975i	−1.31598	+	0.773702i
$333$	2.51429	+	2.17865i	0.137782	+	0.119389i
$334$	5.62948	−	1.10806i	0.308032	−	0.0606305i
$335$	−2.61307	+	0.767265i	−0.142767	+	0.0419202i
$336$	0.0888266	−	0.116699i	0.00484589	−	0.00636643i
$337$	−24.0670	+	15.4669i	−1.31102	+	0.842538i	−0.994366	−	0.106004i	$-0.966194\pi$
$337$	−24.0670	+	15.4669i	−1.31102	+	0.842538i	−0.316650	+	0.948543i	$0.602558\pi$
$338$	−1.29460	−	1.80290i	−0.0704167	−	0.0980648i
$339$	0.115232	−	0.0165679i	0.00625854	−	0.000899843i
$340$	6.07964	−	32.9418i	0.329715	−	1.78652i
$341$	4.14060	+	0.595328i	0.224226	+	0.0322388i
$342$	−28.6896	+	10.0566i	−1.55136	+	0.543798i
$343$	11.2297	+	12.9598i	0.606349	+	0.699764i
$344$	−3.84958	−	1.70323i	−0.207555	−	0.0918322i
$345$	0.0919974	−	0.194015i	0.00495297	−	0.0104454i
$346$	21.1397	−	27.1009i	1.13648	−	1.45695i
$347$	24.3950	−	21.1384i	1.30959	−	1.13477i	0.327812	−	0.944743i	$-0.393689\pi$
$347$	24.3950	−	21.1384i	1.30959	−	1.13477i	0.981779	−	0.190024i	$-0.0608567\pi$
$348$	0.0559400	−	0.165853i	0.00299870	−	0.00889068i
$349$	14.0932	+	2.02629i	0.754391	+	0.108465i	0.508772	−	0.860901i	$-0.330100\pi$
$349$	14.0932	+	2.02629i	0.754391	+	0.108465i	0.245619	+	0.969366i	$0.421009\pi$
$350$	−23.8944	+	12.4381i	−1.27721	+	0.664842i
$351$	0.0376621	+	0.261946i	0.00201026	+	0.0139816i
$352$	−1.29351	+	2.63552i	−0.0689442	+	0.140474i
$353$	11.9998	−	7.71182i	0.638686	−	0.410459i	−0.180830	−	0.983514i	$-0.557879\pi$
$353$	11.9998	−	7.71182i	0.638686	−	0.410459i	0.819516	+	0.573056i	$0.194242\pi$
$354$	−0.0266963	+	0.111971i	−0.00141889	+	0.00595120i
$355$	5.14822	+	17.5332i	0.273239	+	0.930568i
$356$	−6.55233	−	3.31274i	−0.347273	−	0.175575i
$357$	−0.135234	−	0.117181i	−0.00715733	−	0.00620186i
$358$	−7.18147	+	18.1457i	−0.379552	+	0.959032i
$359$	1.83048	+	4.00819i	0.0966090	+	0.211544i	0.951766	−	0.306825i	$-0.0992666\pi$
$359$	1.83048	+	4.00819i	0.0966090	+	0.211544i	−0.855157	+	0.518369i	$0.826539\pi$
$360$	28.7712	−	4.48509i	1.51638	−	0.236385i
$361$	31.0414	+	9.11457i	1.63376	+	0.479714i
$362$	−16.6650	−	9.53402i	−0.875893	−	0.501097i
$363$	0.127343	+	0.0581555i	0.00668376	+	0.00305237i
$364$	−1.95569	−	18.9024i	−0.102506	−	0.990753i
$365$	−3.98259	+	6.19703i	−0.208458	+	0.324368i
$366$	0.00516054	+	0.100023i	0.000269746	+	0.00522828i
$367$	25.8343			1.34854			0.674270	−	0.738485i	$-0.264459\pi$
$367$	25.8343			1.34854			0.674270	+	0.738485i	$0.264459\pi$
$368$	13.8649	−	13.2576i	0.722757	−	0.691103i
$369$	34.8424			1.81383
$370$	0.277335	+	5.37538i	0.0144180	+	0.279453i
$371$	4.52377	−	7.03912i	0.234862	−	0.365453i
$372$	0.0216438	+	0.209194i	0.00112218	+	0.0108462i
$373$	9.76855	+	4.46115i	0.505796	+	0.230990i	0.651935	−	0.758275i	$-0.273957\pi$
$373$	9.76855	+	4.46115i	0.505796	+	0.230990i	−0.146139	+	0.989264i	$0.546685\pi$
$374$	3.10919	+	1.77876i	0.160772	+	0.0919776i
$375$	0.0763682	+	0.0224237i	0.00394364	+	0.00115796i
$376$	−2.53288	−	16.2481i	−0.130623	−	0.837930i
$377$	−9.42158	−	20.6304i	−0.485236	−	1.06252i
$378$	0.114483	−	0.289270i	0.00588839	−	0.0148785i
$379$	24.9584	+	21.6265i	1.28203	+	1.11088i	0.987896	+	0.155115i	$0.0495749\pi$
$379$	24.9584	+	21.6265i	1.28203	+	1.11088i	0.294129	+	0.955766i	$0.404971\pi$
$380$	−43.8945	−	22.1923i	−2.25174	−	1.13844i
$381$	0.0506222	+	0.172403i	0.00259345	+	0.00883249i
$382$	6.49680	−	27.2493i	0.332405	−	1.39419i
$383$	−11.6185	+	7.46675i	−0.593677	+	0.381533i	−0.802705	−	0.596377i	$-0.796606\pi$
$383$	−11.6185	+	7.46675i	−0.593677	+	0.381533i	0.209028	+	0.977910i	$0.432970\pi$
$384$	−0.144346	−	0.0308212i	−0.00736615	−	0.00157284i
$385$	−0.712364	−	4.95460i	−0.0363054	−	0.252510i
$386$	6.16819	−	3.21081i	0.313953	−	0.163426i
$387$	−4.41920	−	0.635384i	−0.224640	−	0.0322984i
$388$	3.36326	−	9.97154i	0.170743	−	0.506228i
$389$	−6.42675	+	5.56881i	−0.325849	+	0.282350i	−0.802387	−	0.596804i	$-0.796437\pi$
$389$	−6.42675	+	5.56881i	−0.325849	+	0.282350i	0.476538	+	0.879154i	$0.341892\pi$
$390$	−0.131665	+	0.168793i	−0.00666714	+	0.00854719i
$391$	−15.0717	−	17.9075i	−0.762207	−	0.905619i
$392$	−1.02796	+	2.32334i	−0.0519196	+	0.117347i
$393$	−0.0324208	−	0.0374156i	−0.00163541	−	0.00188737i
$394$	−23.9316	+	8.38877i	−1.20566	+	0.422620i
$395$	20.0542	+	2.88336i	1.00904	+	0.145078i
$396$	−0.565120	+	3.06203i	−0.0283984	+	0.153873i
$397$	−4.52138	+	0.650076i	−0.226921	+	0.0326264i	−0.254838	−	0.966984i	$-0.582022\pi$
$397$	−4.52138	+	0.650076i	−0.226921	+	0.0326264i	0.0279160	+	0.999610i	$0.491113\pi$
$398$	−12.6785	−	17.6565i	−0.635515	−	0.885041i
$399$	−0.221031	+	0.142048i	−0.0110654	+	0.00711128i
$400$	21.5725	+	16.4202i	1.07863	+	0.821009i
$401$	−9.08215	+	2.66676i	−0.453541	+	0.133172i	−0.500521	−	0.865724i	$-0.666858\pi$
$401$	−9.08215	+	2.66676i	−0.453541	+	0.133172i	0.0469804	+	0.998896i	$0.485040\pi$
$402$	0.0143655	−	0.00282760i	0.000716487	−	0.000141028i
$403$	20.5950	+	17.8456i	1.02591	+	0.888954i
$404$	26.9563	−	15.8483i	1.34113	−	0.788483i
$405$	28.0908	−	12.8287i	1.39584	−	0.637461i
$406$	−2.42956	+	26.5508i	−0.120577	+	1.31769i
$407$	−0.552255	−	0.162157i	−0.0273742	−	0.00803780i
$408$	−0.0486869	+	0.173383i	−0.00241036	+	0.00858373i
$409$	−13.1113	+	28.7097i	−0.648312	+	1.41961i	0.244712	+	0.969596i	$0.421307\pi$
$409$	−13.1113	+	28.7097i	−0.648312	+	1.41961i	−0.893024	+	0.450010i	$0.851421\pi$
$410$	39.0613	+	40.6439i	1.92910	+	2.00726i
$411$	−0.0117903	+	0.0183461i	−0.000581575	+	0.000904948i
$412$	−5.08901	+	7.26728i	−0.250718	+	0.358033i
$413$		−	17.5339i		−	0.862788i
$414$	10.3561	−	17.5130i	0.508975	−	0.860715i
$415$	−47.7295			−2.34295
$416$	−16.3710	+	9.88772i	−0.802655	+	0.484785i
$417$	0.0764810	+	0.0491514i	0.00374529	+	0.00240695i
$418$	3.79217	−	3.64451i	0.185481	−	0.178259i
$419$	−16.6047	−	7.58311i	−0.811192	−	0.370459i	−0.0337632	−	0.999430i	$-0.510749\pi$
$419$	−16.6047	−	7.58311i	−0.811192	−	0.370459i	−0.777429	+	0.628971i	$0.783476\pi$
$420$	0.232884	−	0.0953729i	0.0113636	−	0.00465372i
$421$	−6.23476	+	21.2336i	−0.303864	+	1.03486i	0.656085	+	0.754687i	$0.272211\pi$
$421$	−6.23476	+	21.2336i	−0.303864	+	1.03486i	−0.959948	+	0.280177i	$0.909607\pi$
$422$	0.968335	−	10.5822i	0.0471378	−	0.515134i
$423$	−7.24518	−	15.8647i	−0.352273	−	0.771370i
$424$	−8.34905	−	1.09965i	−0.405466	−	0.0534037i
$425$	21.6616	−	24.9988i	1.05074	−	1.21262i
$426$	−0.0189727	−	0.0963903i	−0.000919230	−	0.00467013i
$427$	−4.29815	−	14.6382i	−0.208002	−	0.708390i
$428$	15.9885	+	20.0039i	0.772831	+	0.966924i
$429$	−0.0123760	−	0.0192575i	−0.000597520	−	0.000929759i
$430$	−4.21312	−	5.86733i	−0.203174	−	0.282948i
$431$	0.841055	+	5.84966i	0.0405122	+	0.281768i	1.00000		1.82957e-5i	$5.82371e-6\pi$
$431$	0.841055	+	5.84966i	0.0405122	+	0.281768i	−0.959488	+	0.281750i	$0.909085\pi$
$432$	−0.312470	+	0.0198346i	−0.0150337	+	0.000954293i
$433$	−0.185593	+	1.29083i	−0.00891902	+	0.0620332i	−0.993795	−	0.111228i	$-0.964521\pi$
$433$	−0.185593	+	1.29083i	−0.00891902	+	0.0620332i	0.984876	+	0.173262i	$0.0554306\pi$
$434$	−10.5972	−	30.2319i	−0.508681	−	1.45118i
$435$	0.226986	−	0.196684i	0.0108831	−	0.00943029i
$436$	−7.02279	+	1.76254i	−0.336331	+	0.0844104i
$437$	−31.4634	+	13.8257i	−1.50510	+	0.661372i
$438$	0.0243576	−	0.0312262i	0.00116385	−	0.00149204i
$439$	2.58577	+	2.98414i	0.123412	+	0.142425i	0.814093	−	0.580734i	$-0.197235\pi$
$439$	2.58577	+	2.98414i	0.123412	+	0.142425i	−0.690681	+	0.723160i	$0.742689\pi$
$440$	−4.20542	+	2.77359i	−0.200486	+	0.132225i
$441$	−0.383475	+	2.66713i	−0.0182607	+	0.127006i
$442$	10.7745	+	20.6986i	0.512492	+	0.984533i
$443$	20.7595	−	2.98477i	0.986314	−	0.141811i	0.369764	−	0.929126i	$-0.379439\pi$
$443$	20.7595	−	2.98477i	0.986314	−	0.141811i	0.616551	+	0.787315i	$0.288530\pi$
$444$	0.00114861	−	0.0289142i	5.45106e−5	−	0.00137221i
$445$	−6.81134	−	10.5987i	−0.322889	−	0.502424i
$446$	−0.404811	+	1.69788i	−0.0191683	+	0.0803970i
$447$	0.111426	−	0.0327176i	0.00527026	−	0.00154749i
$448$	22.4767	−	0.532526i	1.06193	−	0.0251595i
$449$	−19.2369	+	22.2006i	−0.907847	+	1.04771i	0.0908082	+	0.995868i	$0.471055\pi$
$449$	−19.2369	+	22.2006i	−0.907847	+	1.04771i	−0.998655	+	0.0518430i	$0.983490\pi$
$450$	26.7360	+	10.5812i	1.26035	+	0.498803i
$451$	−5.48320	+	2.50409i	−0.258194	+	0.117913i
$452$	13.0133	+	12.2134i	0.612093	+	0.574472i
$453$	0.0102235	−	0.0348179i	0.000480340	−	0.00163589i
$454$	−31.4507	−	17.9929i	−1.47605	−	0.844447i
$455$	13.5460	−	29.6616i	0.635046	−	1.39056i
$456$	0.224128	+	0.140315i	0.0104957	+	0.00657086i
$457$	−20.7559	−	13.3390i	−0.970920	−	0.623972i	−0.0439206	−	0.999035i	$-0.513985\pi$
$457$	−20.7559	−	13.3390i	−0.970920	−	0.623972i	−0.927000	+	0.375063i	$0.877621\pi$
$458$	−18.7361	+	0.966663i	−0.875481	+	0.0451692i
$459$			0.382016i			0.0178310i
$460$	32.0390	−	7.55307i	1.49383	−	0.352164i
$461$		−	8.37564i		−	0.390092i	−0.980794	−	0.195046i	$-0.937514\pi$
$461$		−	8.37564i		−	0.390092i	0.980794	−	0.195046i	$-0.0624857\pi$
$462$	0.00138656	+	0.0268746i	6.45084e−5	+	0.00125032i
$463$	−25.6787	−	16.5027i	−1.19339	−	0.766945i	−0.215590	−	0.976484i	$-0.569167\pi$
$463$	−25.6787	−	16.5027i	−1.19339	−	0.766945i	−0.977800	+	0.209539i	$0.932804\pi$
$464$	25.2154	−	9.17552i	1.17060	−	0.425963i
$465$	−0.149915	+	0.328268i	−0.00695213	+	0.0152230i
$466$	−2.60742	+	4.55764i	−0.120786	+	0.211128i
$467$	5.76363	−	19.6291i	0.266709	−	0.908327i	−0.711845	−	0.702337i	$-0.752140\pi$
$467$	5.76363	−	19.6291i	0.266709	−	0.908327i	0.978554	−	0.205991i	$-0.0660417\pi$
$468$	−13.8814	+	14.7905i	−0.641669	+	0.683691i
$469$	−2.02866	+	0.926458i	−0.0936748	+	0.0427798i
$470$	10.3838	−	26.2373i	0.478970	−	1.21023i
$471$	0.119860	−	0.138326i	0.00552287	−	0.00637373i
$472$	−15.9639	+	7.52023i	−0.734798	+	0.346147i
$473$	0.741119	−	0.217612i	0.0340767	−	0.0100058i
$474$	−0.105952	−	0.0252612i	−0.00486655	−	0.00116029i
$475$	−26.2585	−	40.8590i	−1.20482	−	1.87474i
$476$	1.08887	−	27.4102i	0.0499081	−	1.25635i
$477$	−8.84057	+	1.27108i	−0.404782	+	0.0581988i
$478$	−26.7842	+	13.9424i	−1.22508	+	0.637709i
$479$	2.48362	−	17.2739i	0.113479	−	0.789266i	−0.851011	−	0.525148i	$-0.824010\pi$
$479$	2.48362	−	17.2739i	0.113479	−	0.789266i	0.964490	−	0.264118i	$-0.0850809\pi$
$480$	−0.186716	−	0.171126i	−0.00852238	−	0.00781078i
$481$	−2.45541	−	2.83369i	−0.111957	−	0.129205i
$482$	25.3080	+	19.7412i	1.15275	+	0.899187i
$483$	0.0519595	−	0.167985i	0.00236424	−	0.00764359i
$484$	5.22422	+	20.8157i	0.237464	+	0.946170i
$485$	13.6470	−	11.8252i	0.619677	−	0.536953i
$486$	−0.470071	+	0.164774i	−0.0213228	+	0.00747430i
$487$	1.98045	−	13.7744i	0.0897429	−	0.624175i	−0.894462	−	0.447143i	$-0.852441\pi$
$487$	1.98045	−	13.7744i	0.0897429	−	0.624175i	0.984205	−	0.177032i	$-0.0566496\pi$
$488$	−11.4840	+	10.1915i	−0.519854	+	0.461349i
$489$	9.26036e−5	0	0.000644072i	4.18768e−6	0	2.91260e-5i
$490$	−3.54112	+	2.54275i	−0.159972	+	0.114870i
$491$	18.0774	+	28.1291i	0.815824	+	1.26945i	0.960030	+	0.279899i	$0.0903009\pi$
$491$	18.0774	+	28.1291i	0.815824	+	1.26945i	−0.144206	+	0.989548i	$0.546063\pi$
$492$	−0.189213	−	0.236732i	−0.00853036	−	0.0106727i
$493$	−9.22370	−	31.4130i	−0.415415	−	1.41477i
$494$	33.6180	−	6.61711i	1.51255	−	0.297718i
$495$	−3.49891	+	4.03795i	−0.157264	+	0.181493i
$496$	−22.9797	+	22.6146i	−1.03182	+	1.01543i
$497$	6.21638	+	13.6120i	0.278843	+	0.610580i
$498$	0.255531	+	0.0233826i	0.0114506	+	0.00104780i
$499$	−2.40056	+	8.17557i	−0.107464	+	0.365989i	−0.995613	−	0.0935668i	$-0.970173\pi$
$499$	−2.40056	+	8.17557i	−0.107464	+	0.365989i	0.888149	+	0.459556i	$0.151991\pi$
$500$	4.62420	+	11.2915i	0.206800	+	0.504969i
$501$	−0.0481455	−	0.0219873i	−0.00215098	−	0.000982320i
$502$	15.3700	+	15.9927i	0.685998	+	0.713790i
$503$	33.7939	+	21.7180i	1.50679	+	0.968358i	0.993945	+	0.109878i	$0.0350462\pi$
$503$	33.7939	+	21.7180i	1.50679	+	0.968358i	0.512849	+	0.858479i	$0.328590\pi$
$504$	22.7984	−	6.98856i	1.01552	−	0.311295i
$505$	53.6571			2.38771
$506$	−0.371115	+	3.50032i	−0.0164981	+	0.155608i
$507$			0.0204754i			0.000909346i
$508$	−15.8003	+	22.5634i	−0.701026	+	1.00109i
$509$	13.3422	−	20.7608i	0.591382	−	0.920208i	−0.408590	−	0.912718i	$-0.633979\pi$
$509$	13.3422	−	20.7608i	0.591382	−	0.920208i	0.999972	−	0.00749001i	$-0.00238417\pi$
$510$	−0.222805	+	0.214130i	−0.00986597	+	0.00948183i
$511$	−2.50596	+	5.48729i	−0.110857	+	0.242743i
$512$	−10.1250	−	20.2357i	−0.447467	−	0.894301i
$513$	0.538197	+	0.158029i	0.0237620	+	0.00697714i
$514$	−24.0133	−	2.19736i	−1.05918	−	0.0969212i
$515$	−13.8479	+	6.32414i	−0.610213	+	0.278675i
$516$	0.0196815	+	0.0334761i	0.000866429	+	0.00147370i
$517$	2.28037	+	1.97595i	0.100291	+	0.0869022i
$518$	0.851261	+	4.32481i	0.0374023	+	0.190021i
$519$	−0.304227	+	0.0893291i	−0.0133541	+	0.00392111i
$520$	−32.8154	+	0.388682i	−1.43905	+	0.0170448i
$521$	−9.67945	+	6.22061i	−0.424065	+	0.272530i	−0.735219	−	0.677830i	$-0.762921\pi$
$521$	−9.67945	+	6.22061i	−0.424065	+	0.272530i	0.311154	+	0.950359i	$0.399284\pi$
$522$	23.1167	−	16.5992i	1.01179	−	0.726529i
$523$	−37.6738	+	5.41667i	−1.64736	+	0.236854i	−0.902600	−	0.430479i	$-0.858345\pi$
$523$	−37.6738	+	5.41667i	−1.64736	+	0.236854i	−0.744759	+	0.667334i	$0.767435\pi$
$524$	1.37746	−	7.46362i	0.0601748	−	0.326050i
$525$	0.245972	+	0.0353655i	0.0107351	+	0.00154348i
$526$	4.64736	+	13.2581i	0.202634	+	0.578079i
$527$	25.7607	+	29.7295i	1.12216	+	1.29504i
$528$	0.0238735	−	0.0127888i	0.00103896	−	0.000556561i
$529$	10.1521	−	20.6382i	0.441394	−	0.897313i
$530$	−11.3937	−	8.88757i	−0.494913	−	0.386051i
$531$	−14.1445	+	12.2563i	−0.613820	+	0.531878i
$532$	−38.1660	−	12.8728i	−1.65471	−	0.558109i
$533$	−38.8689	−	5.58850i	−1.68360	−	0.242065i
$534$	0.0312738	+	0.0600792i	0.00135335	+	0.00259988i
$535$	6.25362	+	43.4949i	0.270367	+	1.88045i
$536$	1.71358	+	1.44965i	0.0740155	+	0.0626155i
$537$	0.151449	−	0.0973304i	0.00653551	−	0.00420011i
$538$	−12.5625	−	2.99516i	−0.541606	−	0.129130i
$539$	−0.131336	−	0.447290i	−0.00565704	−	0.0192661i
$540$	−0.479461	−	0.242407i	−0.0206327	−	0.0104315i
$541$	10.7187	+	9.28784i	0.460835	+	0.399315i	0.854099	−	0.520110i	$-0.174109\pi$
$541$	10.7187	+	9.28784i	0.460835	+	0.399315i	−0.393265	+	0.919425i	$0.628654\pi$
$542$	−1.34637	−	0.532847i	−0.0578315	−	0.0228877i
$543$	0.0735765	+	0.161110i	0.00315747	+	0.00691389i
$544$	−25.4228	+	10.7648i	−1.09000	+	0.461535i
$545$	−11.9211	−	3.50035i	−0.510644	−	0.149938i
$546$	−0.0870527	+	0.152164i	−0.00372551	+	0.00651202i
$547$	−20.1364	−	9.19600i	−0.860971	−	0.393193i	−0.0645355	−	0.997915i	$-0.520557\pi$
$547$	−20.1364	−	9.19600i	−0.860971	−	0.393193i	−0.796436	+	0.604723i	$0.793284\pi$
$548$	−3.32547	+	0.344062i	−0.142057	+	0.0146976i
$549$	−8.80410	+	13.6994i	−0.375750	+	0.584678i
$550$	−4.96794	+	0.256314i	−0.211834	+	0.0109293i
$551$	−48.0714			−2.04791
$552$	−0.175229	+	0.0247413i	−0.00745822	+	0.00105306i
$553$	16.5914			0.705539
$554$	−15.4766	+	0.798495i	−0.657539	+	0.0339248i
$555$	0.0268449	−	0.0417715i	0.00113950	−	0.00177310i
$556$	1.43432	+	13.8632i	0.0608287	+	0.587929i
$557$	−13.2861	−	6.06757i	−0.562951	−	0.257091i	0.113551	−	0.993532i	$-0.463778\pi$
$557$	−13.2861	−	6.06757i	−0.562951	−	0.257091i	−0.676502	+	0.736441i	$0.736505\pi$
$558$	−16.9804	+	29.6809i	−0.718838	+	1.25649i
$559$	4.82797	+	1.41762i	0.204202	+	0.0599590i
$560$	33.7112	+	18.7597i	1.42456	+	0.792742i
$561$	−0.0137272	−	0.0300583i	−0.000579561	−	0.00126906i
$562$	−12.4731	−	4.93642i	−0.526144	−	0.208230i
$563$	−18.0263	−	15.6199i	−0.759718	−	0.658299i	0.186271	−	0.982498i	$-0.440360\pi$
$563$	−18.0263	−	15.6199i	−0.759718	−	0.658299i	−0.945989	+	0.324199i	$0.894905\pi$
$564$	−0.0684457	+	0.135380i	−0.00288209	+	0.00570053i
$565$	8.62782	+	29.3837i	0.362975	+	1.23618i
$566$	14.3260	+	3.41561i	0.602165	+	0.143569i
$567$	21.2746	−	13.6723i	0.893447	−	0.574184i
$568$	9.72694	−	11.4979i	0.408133	−	0.482440i
$569$	−1.48838	−	10.3519i	−0.0623963	−	0.433976i	−0.996943	−	0.0781349i	$-0.975104\pi$
$569$	−1.48838	−	10.3519i	−0.0623963	−	0.433976i	0.934546	−	0.355841i	$-0.115806\pi$
$570$	0.209506	+	0.402475i	0.00877522	+	0.0168578i
$571$	−22.7511	−	3.27112i	−0.952105	−	0.136892i	−0.351278	−	0.936271i	$-0.614253\pi$
$571$	−22.7511	−	3.27112i	−0.952105	−	0.136892i	−0.600827	+	0.799379i	$0.705162\pi$
$572$	1.12156	−	3.32525i	0.0468947	−	0.139036i
$573$	−0.195302	+	0.169230i	−0.00815884	+	0.00706967i
$574$	36.3988	+	28.3925i	1.51926	+	1.18508i
$575$	31.0532	+	9.60505i	1.29501	+	0.400558i
$576$	−16.1409	−	17.7596i	−0.672539	−	0.739985i
$577$	−14.5632	−	16.8068i	−0.606273	−	0.699677i	0.366767	−	0.930313i	$-0.380465\pi$
$577$	−14.5632	−	16.8068i	−0.606273	−	0.699677i	−0.973040	+	0.230636i	$0.925919\pi$
$578$	3.18994	+	9.10032i	0.132684	+	0.378524i
$579$	−0.0634964	−	0.00912940i	−0.00263882	−	0.000379405i
$580$	45.2789	+	8.35654i	1.88010	+	0.346986i
$581$	−38.6882	+	5.56253i	−1.60506	+	0.230772i
$582$	−0.0788553	+	0.0566231i	−0.00326866	+	0.00234710i
$583$	1.29990	−	0.835395i	0.0538364	−	0.0345985i
$584$	6.07074	−	0.0719048i	0.251209	−	0.00297544i
$585$	−33.3966	+	9.80612i	−1.38078	+	0.405433i
$586$	0.0134923	+	0.0685471i	0.000557360	+	0.00283165i
$587$	−2.68843	−	2.32953i	−0.110963	−	0.0961502i	0.597612	−	0.801785i	$-0.296116\pi$
$587$	−2.68843	−	2.32953i	−0.110963	−	0.0961502i	−0.708575	+	0.705635i	$0.750662\pi$
$588$	0.0202039	−	0.0118784i	0.000833195	−	0.000489858i
$589$	52.5404	−	23.9944i	2.16489	−	0.988672i
$590$	−30.1543	−	2.75929i	−1.24143	−	0.113598i
$591$	0.224464	+	0.0659086i	0.00923321	+	0.00271112i
$592$	3.57245	−	2.62993i	0.146827	−	0.108089i
$593$	−16.4988	+	36.1273i	−0.677524	+	1.48357i	0.187721	+	0.982222i	$0.439890\pi$
$593$	−16.4988	+	36.1273i	−0.677524	+	1.48357i	−0.865245	+	0.501349i	$0.832837\pi$
$594$	0.0414219	−	0.0398091i	0.00169956	−	0.00163339i
$595$	25.4486	−	39.5988i	1.04329	−	1.62339i
$596$	14.5829	+	10.2119i	0.597340	+	0.418295i
$597$			0.200524i			0.00820690i
$598$	−14.3618	+	17.8757i	−0.587300	+	0.730993i
$599$	1.16354			0.0475408			0.0237704	−	0.999717i	$-0.492433\pi$
$599$	1.16354			0.0475408			0.0237704	+	0.999717i	$0.492433\pi$
$600$	−0.0732978	−	0.239116i	−0.00299237	−	0.00976185i
$601$	7.59217	+	4.87919i	0.309691	+	0.199026i	0.686249	−	0.727367i	$-0.259256\pi$
$601$	7.59217	+	4.87919i	0.309691	+	0.199026i	−0.376558	+	0.926393i	$0.622892\pi$
$602$	−4.09883	−	4.26489i	−0.167056	−	0.173824i
$603$	2.16541	+	0.988911i	0.0881824	+	0.0402716i
$604$	5.14801	−	2.10827i	0.209470	−	0.0857842i
$605$	−10.3751	+	35.3344i	−0.421809	+	1.43655i
$606$	−0.287266	−	0.0262865i	−0.0116694	−	0.00106782i
$607$	5.58855	+	12.2372i	0.226832	+	0.496693i	0.988490	−	0.151286i	$-0.0483415\pi$
$607$	5.58855	+	12.2372i	0.226832	+	0.496693i	−0.761658	+	0.647980i	$0.775614\pi$
$608$	4.64907	+	40.2697i	0.188545	+	1.63315i
$609$	0.161066	−	0.185880i	0.00652674	−	0.00753225i
$610$	−25.8506	+	5.08823i	−1.04666	+	0.206016i
$611$	5.53785	+	18.8602i	0.224037	+	0.763001i
$612$	−22.8728	+	18.2815i	−0.924579	+	0.738986i
$613$	−12.0857	−	18.8057i	−0.488135	−	0.759554i	0.506583	−	0.862191i	$-0.330908\pi$
$613$	−12.0857	−	18.8057i	−0.488135	−	0.759554i	−0.994719	+	0.102637i	$0.967272\pi$
$614$	−0.589858	+	0.423556i	−0.0238047	+	0.0170933i
$615$	−0.0740073	−	0.514732i	−0.00298426	−	0.0207560i
$616$	−3.08556	+	2.73830i	−0.124321	+	0.110329i
$617$	1.90176	−	13.2270i	0.0765621	−	0.532501i	−0.915059	−	0.403320i	$-0.867856\pi$
$617$	1.90176	−	13.2270i	0.0765621	−	0.532501i	0.991621	−	0.129181i	$-0.0412348\pi$
$618$	0.0772363	−	0.0270737i	0.00310690	−	0.00108906i
$619$	29.3846	−	25.4619i	1.18107	−	1.02340i	0.181870	−	0.983323i	$-0.441785\pi$
$619$	29.3846	−	25.4619i	1.18107	−	1.02340i	0.999197	−	0.0400772i	$-0.0127604\pi$
$620$	−53.6594	+	13.4671i	−2.15501	+	0.540853i
$621$	−0.343675	+	0.151018i	−0.0137912	+	0.00606016i
$622$	16.4269	+	12.8136i	0.658659	+	0.513779i
$623$	−6.75628	−	7.79716i	−0.270685	−	0.312387i
$624$	0.175875	+	0.0139953i	0.00704065	+	0.000560261i
$625$	1.84316	−	12.8195i	0.0737264	−	0.512778i
$626$	31.2682	−	16.2765i	1.24973	−	0.650538i
$627$	−0.0480257	+	0.00690506i	−0.00191796	+	0.000275761i
$628$	28.0370	+	1.11376i	1.11880	+	0.0444441i
$629$	−2.92624	−	4.55332i	−0.116677	−	0.181553i
$630$	39.8017	+	9.48956i	1.58574	+	0.378073i
$631$	24.9406	−	7.32324i	0.992872	−	0.291533i	0.255344	−	0.966850i	$-0.417811\pi$
$631$	24.9406	−	7.32324i	0.992872	−	0.291533i	0.737528	+	0.675317i	$0.235993\pi$
$632$	−7.11599	−	15.1058i	−0.283059	−	0.600876i
$633$	−0.0641953	+	0.0740853i	−0.00255153	+	0.00294463i
$634$	7.38737	−	18.6660i	0.293390	−	0.741322i
$635$	−42.9949	+	19.6351i	−1.70620	+	0.779196i
$636$	0.0566450	+	0.0531634i	0.00224612	+	0.00210807i
$637$	0.855580	−	2.91384i	0.0338993	−	0.115451i
$638$	−2.44493	+	4.27362i	−0.0967957	+	0.169194i
$639$	6.63543	−	14.5296i	0.262493	−	0.574780i
$640$	2.62132	−	38.7385i	0.103617	−	1.53128i
$641$	−8.62275	−	5.54150i	−0.340578	−	0.218876i	0.359160	−	0.933276i	$-0.383063\pi$
$641$	−8.62275	−	5.54150i	−0.340578	−	0.218876i	−0.699738	+	0.714400i	$0.746700\pi$
$642$	−0.0121721	−	0.235923i	−0.000480396	−	0.00931115i
$643$		−	41.4391i		−	1.63420i	−0.576496	−	0.817100i	$-0.695580\pi$
$643$		−	41.4391i		−	1.63420i	0.576496	−	0.817100i	$-0.304420\pi$
$644$	25.0897	−	9.85623i	0.988672	−	0.388390i
$645$			0.0666350i			0.00262375i
$646$	49.3942	−	2.54842i	1.94339	−	0.100266i
$647$	−1.17297	−	0.753824i	−0.0461143	−	0.0296359i	0.517381	−	0.855755i	$-0.326907\pi$
$647$	−1.17297	−	0.753824i	−0.0461143	−	0.0296359i	−0.563495	+	0.826120i	$0.690544\pi$
$648$	−21.5726	−	13.5056i	−0.847453	−	0.530549i
$649$	1.34509	−	2.94535i	0.0527996	−	0.115615i
$650$	−28.1285	−	16.0923i	−1.10329	−	0.631191i
$651$	−0.0832596	+	0.283556i	−0.00326320	+	0.0111134i
$652$	−0.0682652	+	0.0727358i	−0.00267347	+	0.00284856i
$653$	4.86709	−	2.22273i	0.190464	−	0.0869821i	−0.317900	−	0.948124i	$-0.602978\pi$
$653$	4.86709	−	2.22273i	0.190464	−	0.0869821i	0.508364	+	0.861142i	$0.330250\pi$
$654$	0.0621075	+	0.0245800i	0.00242860	+	0.000961156i
$655$	8.52848	−	9.84239i	0.333235	−	0.384574i
$656$	10.2388	−	45.3170i	0.399760	−	1.76933i
$657$	6.17825	−	1.81410i	0.241036	−	0.0707747i
$658$	5.35907	−	22.4774i	0.208918	−	0.876258i
$659$	7.40314	+	11.5195i	0.288385	+	0.448736i	0.954974	−	0.296689i	$-0.0958826\pi$
$659$	7.40314	+	11.5195i	0.288385	+	0.448736i	−0.666589	+	0.745426i	$0.732246\pi$
$660$	0.0464362	+	0.00184467i	0.00180753	+	7.18037e-5i
$661$	−6.50227	+	0.934885i	−0.252909	+	0.0363628i	−0.267603	−	0.963529i	$-0.586232\pi$
$661$	−6.50227	+	0.934885i	−0.252909	+	0.0363628i	0.0146942	+	0.999892i	$0.495323\pi$
$662$	18.0333	+	34.6433i	0.700885	+	1.34645i
$663$	0.0306355	−	0.213075i	0.00118979	−	0.00827514i
$664$	21.6577	+	32.8382i	0.840480	+	1.27437i
$665$	−45.2608	−	52.2338i	−1.75514	−	2.02554i
$666$	2.89377	−	3.70977i	0.112131	−	0.143751i
$667$	24.6140	−	20.7162i	0.953058	−	0.802134i
$668$	−1.97516	−	7.86997i	−0.0764213	−	0.304498i
$669$	0.0121691	−	0.0105446i	0.000470484	−	0.000407677i
$670$	1.27404	+	3.63462i	0.0492206	+	0.140417i
$671$	0.400946	−	2.78864i	0.0154784	−	0.107654i
$672$	−0.171290	−	0.116949i	−0.00660766	−	0.00451142i
$673$	2.45455	+	17.0718i	0.0946160	+	0.658069i	0.980840	+	0.194813i	$0.0624099\pi$
$673$	2.45455	+	17.0718i	0.0946160	+	0.658069i	−0.886224	+	0.463256i	$0.846681\pi$
$674$	23.5982	+	32.8637i	0.908969	+	1.26586i
$675$	−0.286822	−	0.446304i	−0.0110398	−	0.0171782i
$676$	−2.45196	+	1.95978i	−0.0943063	+	0.0753760i
$677$	4.16110	+	14.1714i	0.159924	+	0.544651i	0.999998	+	0.00217858i	$0.000693464\pi$
$677$	4.16110	+	14.1714i	0.159924	+	0.544651i	−0.840074	+	0.542472i	$0.817488\pi$
$678$	−0.0317960	−	0.161539i	−0.00122112	−	0.00620387i
$679$	9.68372	−	11.1756i	0.371627	−	0.428881i
$680$	−46.9678	−	6.18611i	−1.80113	−	0.237226i
$681$	0.138856	+	0.304051i	0.00532096	+	0.0116513i
$682$	0.539088	−	5.89129i	0.0206428	−	0.225589i
$683$	10.2730	−	34.9865i	0.393084	−	1.33872i	−0.490905	−	0.871213i	$-0.663334\pi$
$683$	10.2730	−	34.9865i	0.393084	−	1.33872i	0.883989	−	0.467508i	$-0.154848\pi$
$684$	16.2938	+	39.7865i	0.623009	+	1.52128i
$685$	−5.21833	−	2.38313i	−0.199382	−	0.0910547i
$686$	17.4853	−	16.8045i	0.667592	−	0.641598i
$687$	0.145596	+	0.0935692i	0.00555485	+	0.00356989i
$688$	−2.12503	+	5.56100i	−0.0810159	+	0.212011i
$689$	10.0661			0.383487
$690$	−0.280718	−	0.115794i	−0.0106868	−	0.00440819i
$691$			46.5398i			1.77046i	0.465155	+	0.885229i	$0.345999\pi$
$691$			46.5398i			1.77046i	−0.465155	+	0.885229i	$0.654001\pi$
$692$	−39.8159	−	27.8816i	−1.51357	−	1.05990i
$693$	−2.36552	+	3.68082i	−0.0898588	+	0.139823i
$694$	−31.6321	−	32.9136i	−1.20074	−	1.24938i
$695$	−9.93475	+	21.7541i	−0.376847	+	0.825179i
$696$	−0.238317	−	0.0669207i	−0.00903338	−	0.00253662i
$697$	−54.3893	−	15.9701i	−2.06014	−	0.604912i
$698$	1.83487	−	20.0519i	0.0694509	−	0.758977i
$699$	0.0440612	−	0.0201221i	0.00166655	−	0.000761088i
$700$	19.3078	+	32.8405i	0.729767	+	1.24126i
$701$	38.6715	+	33.5091i	1.46060	+	1.26562i	0.898808	+	0.438343i	$0.144435\pi$
$701$	38.6715	+	33.5091i	1.46060	+	1.26562i	0.561795	+	0.827276i	$0.310111\pi$
$702$	0.367211	−	0.0722788i	0.0138595	−	0.00272799i
$703$	−7.62537	+	2.23901i	−0.287596	+	0.0844459i
$704$	3.81649	+	1.63482i	0.143839	+	0.0616147i
$705$	−0.218983	+	0.140732i	−0.00824737	+	0.00530026i
$706$	−11.7661	−	16.3858i	−0.442822	−	0.616689i
$707$	43.4930	−	6.25335i	1.63572	−	0.235181i
$708$	0.160086	+	0.0295450i	0.00601640	+	0.00111037i
$709$	9.64717	+	1.38705i	0.362307	+	0.0520919i	0.321065	−	0.947057i	$-0.395959\pi$
$709$	9.64717	+	1.38705i	0.362307	+	0.0520919i	0.0412424	+	0.999149i	$0.486868\pi$
$710$	24.3877	−	8.54862i	0.915253	−	0.320824i
$711$	−11.5975	−	13.3842i	−0.434940	−	0.501947i
$712$	−4.20124	+	9.49548i	−0.157448	+	0.355858i
$713$	−16.5620	+	34.9280i	−0.620252	+	1.30806i
$714$	−0.155644	+	0.199534i	−0.00582484	+	0.00746737i
$715$	4.55091	−	3.94338i	0.170194	−	0.147474i
$716$	26.1512	+	8.82041i	0.977315	+	0.329634i
$717$	0.275721	+	0.0396428i	0.0102970	+	0.00148049i
$718$	5.52752	−	2.87732i	0.206285	−	0.107380i
$719$	−4.09525	−	28.4831i	−0.152727	−	1.06224i	−0.911623	−	0.411027i	$-0.865170\pi$
$719$	−4.09525	−	28.4831i	−0.152727	−	1.06224i	0.758896	−	0.651212i	$-0.225739\pi$
$720$	−8.43094	−	40.3078i	−0.314202	−	1.50218i
$721$	−10.4877	+	6.74005i	−0.390583	+	0.251012i
$722$	10.6109	−	44.5050i	0.394898	−	1.65630i
$723$	−0.0834193	−	0.284100i	−0.00310240	−	0.0105658i
$724$	−12.2509	+	24.2313i	−0.455301	+	0.900549i
$725$	34.3612	+	29.7742i	1.27614	+	1.10578i
$726$	0.0728559	−	0.184088i	0.00270394	−	0.00683216i
$727$	12.8654	+	28.1713i	0.477151	+	1.04481i	0.983237	+	0.182332i	$0.0583645\pi$
$727$	12.8654	+	28.1713i	0.477151	+	1.04481i	−0.506086	+	0.862483i	$0.668908\pi$
$728$	−26.5540	+	4.13945i	−0.984156	+	0.153418i
$729$	−25.8975	−	7.60419i	−0.959166	−	0.281637i
$730$	9.04249	+	5.17319i	0.334678	+	0.191468i
$731$	6.60717	+	3.01739i	0.244375	+	0.111602i
$732$	0.140890	−	0.0145768i	0.00520744	−	0.000538775i
$733$	9.81827	−	15.2775i	0.362646	−	0.564288i	−0.611206	−	0.791472i	$-0.709315\pi$
$733$	9.81827	−	15.2775i	0.362646	−	0.564288i	0.973852	+	0.227183i	$0.0729517\pi$
$734$	−1.88248	−	36.4867i	−0.0694835	−	1.34675i
$735$	0.0402164			0.00148340
$736$	−19.7345	−	18.6158i	−0.727425	−	0.686187i
$737$	−0.411846			−0.0151705
$738$	−2.53888	−	49.2092i	−0.0934574	−	1.81142i
$739$	26.5475	−	41.3087i	0.976565	−	1.51956i	0.127119	−	0.991887i	$-0.459427\pi$
$739$	26.5475	−	41.3087i	0.976565	−	1.51956i	0.849445	−	0.527677i	$-0.176937\pi$
$740$	7.57163	−	0.783380i	0.278339	−	0.0287976i
$741$	−0.287514	−	0.131303i	−0.0105621	−	0.00482355i
$742$	−10.2712	−	5.87616i	−0.377069	−	0.215720i
$743$	7.68404	+	2.25624i	0.281900	+	0.0827733i	0.419626	−	0.907697i	$-0.362161\pi$
$743$	7.68404	+	2.25624i	0.281900	+	0.0827733i	−0.137726	+	0.990470i	$0.543979\pi$
$744$	0.293875	−	0.0458117i	0.0107740	−	0.00167954i
$745$	12.6904	+	27.7880i	0.464939	+	1.01807i
$746$	5.58883	−	14.1215i	0.204621	−	0.517026i
$747$	31.5305	+	27.3214i	1.15364	+	0.999636i
$748$	2.28565	−	4.52083i	0.0835716	−	0.165298i
$749$	10.1380	+	34.5269i	0.370435	+	1.26159i
$750$	0.0261051	−	0.109491i	0.000953222	−	0.00399806i
$751$	38.9987	−	25.0629i	1.42308	−	0.914559i	0.423117	−	0.906075i	$-0.360936\pi$
$751$	38.9987	−	25.0629i	1.42308	−	0.914559i	0.999964	−	0.00848356i	$-0.00270043\pi$
$752$	−22.7632	+	4.76124i	−0.830087	+	0.173624i
$753$	−0.0291207	−	0.202539i	−0.00106122	−	0.00738093i
$754$	−28.4505	+	14.8097i	−1.03611	+	0.539338i
$755$	9.44855	+	1.35850i	0.343868	+	0.0494408i
$756$	−0.416889	−	0.140611i	−0.0151621	−	0.00511396i
$757$	−20.1296	+	17.4424i	−0.731622	+	0.633954i	−0.938845	−	0.344339i	$-0.888103\pi$
$757$	−20.1296	+	17.4424i	−0.731622	+	0.633954i	0.207223	+	0.978294i	$0.433557\pi$
$758$	28.7253	−	36.8254i	1.04335	−	1.33756i
$759$	0.0216149	−	0.0242321i	0.000784572	−	0.000879570i
$760$	−28.1444	+	63.6109i	−1.02091	+	2.30741i
$761$	27.8332	+	32.1212i	1.00895	+	1.16439i	0.986352	+	0.164648i	$0.0526488\pi$
$761$	27.8332	+	32.1212i	1.00895	+	1.16439i	0.0225996	+	0.999745i	$0.492806\pi$
$762$	0.239803	−	0.0840581i	0.00868713	−	0.00304510i
$763$	−10.0708	−	1.44797i	−0.364589	−	0.0524200i
$764$	−38.9585	−	7.19007i	−1.40947	−	0.260128i
$765$	−49.7329	+	7.15051i	−1.79810	+	0.258527i
$766$	11.3922	+	15.8651i	0.411615	+	0.573230i
$767$	17.7449	−	11.4040i	0.640732	−	0.411774i
$768$	−0.0330118	+	0.206111i	−0.00119121	+	0.00743741i
$769$	20.7450	−	6.09127i	0.748083	−	0.219657i	0.114598	−	0.993412i	$-0.463442\pi$
$769$	20.7450	−	6.09127i	0.748083	−	0.219657i	0.633485	+	0.773755i	$0.281624\pi$
$770$	−6.94565	+	1.36713i	−0.250304	+	0.0492678i
$771$	0.168115	+	0.145673i	0.00605452	+	0.00524627i
$772$	−4.98420	−	8.47759i	−0.179385	−	0.305115i
$773$	−24.4291	+	11.1564i	−0.878653	+	0.401267i	−0.803079	−	0.595873i	$-0.796806\pi$
$773$	−24.4291	+	11.1564i	−0.878653	+	0.401267i	−0.0755742	+	0.997140i	$0.524079\pi$
$774$	−0.575360	+	6.28768i	−0.0206809	+	0.226006i
$775$	−52.4172	−	15.3911i	−1.88288	−	0.552864i
$776$	−14.3282	−	4.02344i	−0.514353	−	0.144433i
$777$	0.0168916	−	0.0369874i	0.000605983	−	0.00132692i
$778$	8.33333	+	8.67094i	0.298764	+	0.310868i
$779$	−44.9986	+	70.0192i	−1.61224	+	2.50870i
$780$	0.247987	+	0.173656i	0.00887936	+	0.00621789i
$781$			2.76342i			0.0988829i
$782$	−24.1931	+	22.5911i	−0.865143	+	0.807857i
$783$	−0.525085			−0.0187650
$784$	3.35624	+	1.28252i	0.119866	+	0.0458044i
$785$	40.5043	+	26.0305i	1.44566	+	0.929070i
$786$	−0.0504809	+	0.0485154i	−0.00180060	+	0.00173049i
$787$	10.5387	+	4.81287i	0.375665	+	0.171560i	0.594294	−	0.804248i	$-0.297431\pi$
$787$	10.5387	+	4.81287i	0.375665	+	0.171560i	−0.218630	+	0.975808i	$0.570159\pi$
$788$	13.5916	+	33.1882i	0.484180	+	1.18228i
$789$	0.0365132	−	0.124352i	0.00129990	−	0.00442707i
$790$	2.61097	−	28.5334i	0.0928942	−	1.01517i
$791$	10.4179	+	22.8121i	0.370419	+	0.811104i
$792$	4.36580	+	0.575017i	0.155132	+	0.0204323i
$793$	12.0188	−	13.8705i	0.426801	−	0.492554i
$794$	1.24759	+	6.33833i	0.0442752	+	0.224939i
$795$	0.0375557	+	0.127903i	0.00133196	+	0.00453625i
$796$	−24.0131	+	19.1929i	−0.851120	+	0.680273i
$797$	−1.36604	−	2.12561i	−0.0483878	−	0.0752928i	0.816217	−	0.577746i	$-0.196067\pi$
$797$	−1.36604	−	2.12561i	−0.0483878	−	0.0752928i	−0.864605	+	0.502453i	$0.832431\pi$
$798$	0.216725	+	0.301819i	0.00767198	+	0.0106843i
$799$	4.03813	+	28.0858i	0.142859	+	0.993605i
$800$	21.6189	−	31.6641i	0.764342	−	1.11950i
$801$	−1.56726	+	10.9005i	−0.0553763	+	0.385151i
$802$	4.42815	+	12.6327i	0.156364	+	0.446077i
$803$	−0.841901	+	0.729512i	−0.0297101	+	0.0257439i
$804$	−0.00504029	−	0.0200829i	−0.000177757	−	0.000708269i
$805$	45.6849	+	7.24030i	1.61018	+	0.255187i
$806$	23.7033	−	30.3874i	0.834914	−	1.07035i
$807$	0.0780183	+	0.0900379i	0.00274638	+	0.00316949i
$808$	−24.3474	−	36.9165i	−0.856537	−	1.29872i
$809$	0.0269684	−	0.187569i	0.000948158	−	0.00659458i	−0.989342	−	0.145611i	$-0.953485\pi$
$809$	0.0269684	−	0.187569i	0.000948158	−	0.00659458i	0.990290	+	0.139017i	$0.0443942\pi$
$810$	−20.1653	−	38.7389i	−0.708535	−	1.36115i
$811$	51.1152	−	7.34925i	1.79490	−	0.258067i	0.837416	−	0.546565i	$-0.184065\pi$
$811$	51.1152	−	7.34925i	1.79490	−	0.258067i	0.957480	+	0.288498i	$0.0931559\pi$
$812$	37.6757	+	1.49666i	1.32216	+	0.0525224i
$813$	0.00722167	+	0.0112371i	0.000253275	+	0.000394104i
$814$	−0.188778	+	0.791785i	−0.00661667	+	0.0277520i
$815$	−0.164236	+	0.0482239i	−0.00575293	+	0.00168921i
$816$	0.248422	+	0.0561282i	0.00869652	+	0.00196488i
$817$	6.98420	−	8.06020i	0.244346	−	0.281991i
$818$	41.5032	+	16.4255i	1.45112	+	0.574306i
$819$	−25.9275	+	11.8407i	−0.905980	+	0.413747i
$820$	54.5564	−	58.1293i	1.90519	−	2.02996i
$821$	6.87431	−	23.4117i	0.239915	−	0.817075i	−0.748215	−	0.663456i	$-0.769089\pi$
$821$	6.87431	−	23.4117i	0.239915	−	0.817075i	0.988130	−	0.153619i	$-0.0490929\pi$
$822$	0.0267700	+	0.0153151i	0.000933712	+	0.000534175i
$823$	14.2678	−	31.2422i	0.497346	−	1.08904i	−0.479977	−	0.877281i	$-0.659355\pi$
$823$	14.2678	−	31.2422i	0.497346	−	1.08904i	0.977323	−	0.211754i	$-0.0679176\pi$
$824$	10.6347	+	6.65784i	0.370476	+	0.231937i
$825$	0.0386054	+	0.0248102i	0.00134407	+	0.000863780i
$826$	−24.7638	+	1.27765i	−0.861642	+	0.0444552i
$827$		−	26.5385i		−	0.922836i	−0.887183	−	0.461418i	$-0.847341\pi$
$827$		−	26.5385i		−	0.922836i	0.887183	−	0.461418i	$-0.152659\pi$
$828$	−25.4888	−	13.3502i	−0.885797	−	0.463951i
$829$		−	27.9774i		−	0.971694i	−0.874044	−	0.485847i	$-0.838511\pi$
$829$		−	27.9774i		−	0.971694i	0.874044	−	0.485847i	$-0.161489\pi$
$830$	3.47793	+	67.4101i	0.120721	+	2.33984i
$831$	0.120267	+	0.0772912i	0.00417203	+	0.00268120i
$832$	15.1577	+	22.4009i	0.525498	+	0.776610i
$833$	1.82109	−	3.98764i	0.0630972	−	0.138164i
$834$	0.0638452	−	0.111598i	0.00221078	−	0.00386434i
$835$	3.92261	−	13.3592i	0.135747	−	0.462313i
$836$	−5.42360	−	5.09024i	−0.187579	−	0.176050i
$837$	0.573901	−	0.262092i	0.0198369	−	0.00905921i
$838$	−9.49995	+	24.0039i	−0.328170	+	0.829202i
$839$	13.7192	−	15.8328i	0.473638	−	0.546608i	−0.467782	−	0.883844i	$-0.654947\pi$
$839$	13.7192	−	15.8328i	0.473638	−	0.546608i	0.941420	+	0.337236i	$0.109492\pi$
$840$	−0.151668	−	0.321960i	−0.00523305	−	0.0111087i
$841$	15.3523	−	4.50784i	0.529390	−	0.155443i
$842$	30.4433	+	7.25833i	1.04915	+	0.250139i
$843$	0.0669032	+	0.104103i	0.00230427	+	0.00358551i
$844$	−15.0162	−	0.596515i	−0.516878	−	0.0205329i
$845$	−5.33136	+	0.766534i	−0.183404	+	0.0263696i
$846$	−21.8784	+	11.3887i	−0.752195	+	0.391550i
$847$	−4.29182	+	29.8503i	−0.147469	+	1.02567i
$848$	−0.944699	+	11.8718i	−0.0324411	+	0.407679i
$849$	−0.0889704	−	0.102677i	−0.00305346	−	0.00352388i
$850$	−36.8852	−	28.7719i	−1.26515	−	0.986867i
$851$	2.93953	−	4.43257i	0.100766	−	0.151947i
$852$	−0.134753	+	0.0338195i	−0.00461656	+	0.00115864i
$853$	2.52795	−	2.19048i	0.0865553	−	0.0750006i	−0.610508	−	0.792010i	$-0.709035\pi$
$853$	2.52795	−	2.19048i	0.0865553	−	0.0750006i	0.697064	+	0.717009i	$0.254489\pi$
$854$	−20.3608	+	7.13707i	−0.696732	+	0.244226i
$855$	−10.4992	+	73.0234i	−0.359064	+	2.49735i
$856$	27.0871	−	24.0387i	0.925819	−	0.821625i
$857$	−4.24870	−	29.5503i	−0.145133	−	1.00942i	−0.924044	−	0.382286i	$-0.875137\pi$
$857$	−4.24870	−	29.5503i	−0.145133	−	1.00942i	0.778911	−	0.627134i	$-0.215772\pi$
$858$	−0.0262962	+	0.0188823i	−0.000897737	+	0.000644632i
$859$	−14.6630	−	22.8161i	−0.500296	−	0.778475i	0.495641	−	0.868527i	$-0.334933\pi$
$859$	−14.6630	−	22.8161i	−0.500296	−	0.778475i	−0.995937	+	0.0900519i	$0.971297\pi$
$860$	−7.97964	+	6.37787i	−0.272103	+	0.217483i
$861$	−0.119977	−	0.408603i	−0.00408879	−	0.0139251i
$862$	8.20040	−	1.61410i	0.279307	−	0.0549765i
$863$	−18.8971	+	21.8084i	−0.643265	+	0.742368i	−0.979949	−	0.199250i	$-0.936149\pi$
$863$	−18.8971	+	21.8084i	−0.643265	+	0.742368i	0.336683	+	0.941618i	$0.390695\pi$
$864$	0.0507820	+	0.439867i	0.00172764	+	0.0149646i
$865$	−34.6486	−	75.8699i	−1.17809	−	2.57965i
$866$	1.83660	+	0.168060i	0.0624103	+	0.00571091i
$867$	0.0250626	−	0.0853554i	0.000851171	−	0.00289882i
$868$	−41.9253	+	17.1697i	−1.42304	+	0.582777i
$869$	2.78702	+	1.27279i	0.0945433	+	0.0431765i
$870$	−0.294324	−	0.306248i	−0.00997852	−	0.0103828i
$871$	−2.25704	−	1.45051i	−0.0764768	−	0.0491486i
$872$	3.00103	+	9.79011i	0.101628	+	0.331535i
$873$	−15.7843			−0.534217
$874$	21.8192	+	43.4294i	0.738044	+	1.46902i
$875$			17.1456i			0.579628i
$876$	−0.0458767	−	0.0321258i	−0.00155003	−	0.00108543i
$877$	−23.4086	+	36.4245i	−0.790452	+	1.22997i	0.178797	+	0.983886i	$0.442779\pi$
$877$	−23.4086	+	36.4245i	−0.790452	+	1.22997i	−0.969249	+	0.246081i	$0.920857\pi$
$878$	4.02619	−	3.86942i	0.135877	−	0.130587i
$879$	0.000267727	0	0.000586241i	9.03021e−6	0	1.97734e-5i
$880$	4.22367	+	5.73736i	0.142380	+	0.193406i
$881$	−9.57776	−	2.81228i	−0.322683	−	0.0947483i	0.116379	−	0.993205i	$-0.462871\pi$
$881$	−9.57776	−	2.81228i	−0.322683	−	0.0947483i	−0.439062	+	0.898457i	$0.644689\pi$
$882$	3.79482	+	0.347249i	0.127778	+	0.0116925i
$883$	−52.3386	+	23.9022i	−1.76133	+	0.804375i	−0.776672	+	0.629905i	$0.783094\pi$
$883$	−52.3386	+	23.9022i	−1.76133	+	0.804375i	−0.984663	+	0.174469i	$0.944179\pi$
$884$	28.4483	−	16.7255i	0.956819	−	0.562539i
$885$	0.211108	+	0.182926i	0.00709632	+	0.00614899i
$886$	−5.72818	−	29.1019i	−0.192442	−	0.977697i
$887$	−2.25609	+	0.662447i	−0.0757520	+	0.0222428i	−0.319389	−	0.947624i	$-0.603478\pi$
$887$	−2.25609	+	0.662447i	−0.0757520	+	0.0222428i	0.243637	+	0.969867i	$0.421659\pi$
$888$	−0.0409202		0.000484679i	−0.00137319		1.62648e-5i
$889$	−32.5622	+	20.9264i	−1.09210	+	0.701850i
$890$	−14.4725	+	10.3922i	−0.485120	+	0.348347i
$891$	4.62255	−	0.664623i	0.154861	−	0.0222657i
$892$	2.42747	+	0.448008i	0.0812779	+	0.0150004i
$893$	41.2388	+	5.92924i	1.38000	+	0.198414i
$894$	−0.0543275	−	0.154987i	−0.00181698	−	0.00518353i
$895$	31.0125	+	35.7903i	1.03663	+	1.19634i
$896$	−2.38993	−	31.7059i	−0.0798418	−	1.05922i
$897$	0.203801	−	0.0566719i	0.00680471	−	0.00189222i
$898$	32.7564	+	25.5513i	1.09310	+	0.852658i
$899$	−40.8635	+	35.4085i	−1.36288	+	1.18094i
$900$	12.9960	−	38.5312i	0.433201	−	1.28437i
$901$	14.3828	+	2.06793i	0.479160	+	0.0688928i
$902$	3.93617	+	7.56165i	0.131060	+	0.251776i
$903$	0.00776582	+	0.0540125i	0.000258430	+	0.00179742i
$904$	16.3012	−	19.2691i	0.542170	−	0.640880i
$905$	−39.1951	+	25.1892i	−1.30289	+	0.837316i
$906$	−0.0499195	−	0.0119018i	−0.00165846	−	0.000395412i
$907$	7.41625	+	25.2574i	0.246252	+	0.838659i	0.986138	+	0.165926i	$0.0530614\pi$
$907$	7.41625	+	25.2574i	0.246252	+	0.838659i	−0.739886	+	0.672733i	$0.765120\pi$
$908$	−23.1202	+	45.7300i	−0.767272	+	1.51760i
$909$	−35.4464	−	30.7145i	−1.17568	−	1.01873i
$910$	−42.8792	−	16.9701i	−1.42143	−	0.562554i
$911$	−21.4279	−	46.9206i	−0.709939	−	1.55455i	−0.827489	−	0.561482i	$-0.810231\pi$
$911$	−21.4279	−	46.9206i	−0.709939	−	1.55455i	0.117550	−	0.993067i	$-0.462496\pi$
$912$	0.181841	−	0.326768i	0.00602134	−	0.0108204i
$913$	−6.92556	−	2.03353i	−0.229203	−	0.0673000i
$914$	−17.3267	+	30.2863i	−0.573117	+	1.00178i
$915$	0.221084	+	0.100966i	0.00730882	+	0.00333783i
$916$	2.73050	+	26.3912i	0.0902184	+	0.871991i
$917$	5.76589	−	8.97190i	0.190406	−	0.296278i
$918$	0.539534	−	0.0278365i	0.0178073	−	0.000918741i
$919$	−52.6162			−1.73565			−0.867825	−	0.496871i	$-0.834482\pi$
$919$	−52.6162			−1.73565			−0.867825	+	0.496871i	$0.834482\pi$
$920$	−13.0021	−	44.6995i	−0.428666	−	1.47370i
$921$	0.00669899			0.000220739
$922$	−11.8292	+	0.610311i	−0.389574	+	0.0200995i
$923$	−9.73268	+	15.1443i	−0.320355	+	0.498482i
$924$	0.0378549	−	0.00391656i	0.00124533	−	0.000128845i
$925$	6.83737	+	3.12252i	0.224811	+	0.102668i
$926$	−21.4362	+	37.4694i	−0.704437	+	1.23132i
$927$	12.7681	+	3.74906i	0.419361	+	0.123135i
$928$	−14.7963	−	34.9440i	−0.485712	−	1.14709i
$929$	10.5668	+	23.1381i	0.346686	+	0.759137i	0.999998	+	0.00204777i	$0.000651824\pi$
$929$	10.5668	+	23.1381i	0.346686	+	0.759137i	−0.653312	+	0.757089i	$0.726621\pi$
$930$	0.474548	+	0.187810i	0.0155610	+	0.00615853i
$931$	−4.86459	−	4.21519i	−0.159431	−	0.138147i
$932$	6.62691	+	3.35044i	0.217072	+	0.109747i
$933$	−0.0541459	−	0.184404i	−0.00177266	−	0.00603711i
$934$	−28.1429	−	6.70985i	−0.920863	−	0.219553i
$935$	7.31263	−	4.69954i	0.239148	−	0.153691i
$936$	21.9006	+	18.5275i	0.715845	+	0.605589i
$937$	3.02391	+	21.0318i	0.0987869	+	0.687078i	0.977686	+	0.210071i	$0.0673694\pi$
$937$	3.02391	+	21.0318i	0.0987869	+	0.687078i	−0.878899	+	0.477007i	$0.841721\pi$
$938$	1.45629	+	2.79764i	0.0475496	+	0.0913461i
$939$	−0.321880	−	0.0462793i	−0.0105042	−	0.00151027i
$940$	−37.8124	−	12.7536i	−1.23331	−	0.415976i
$941$	18.0449	−	15.6360i	0.588247	−	0.509719i	−0.309109	−	0.951027i	$-0.600031\pi$
$941$	18.0449	−	15.6360i	0.588247	−	0.509719i	0.897356	+	0.441308i	$0.145485\pi$
$942$	−0.204097	−	0.159203i	−0.00664983	−	0.00518713i
$943$	−7.13386	−	55.2440i	−0.232311	−	1.79899i
$944$	11.7843	+	21.9984i	0.383547	+	0.715986i
$945$	−0.494385	−	0.570551i	−0.0160824	−	0.0185600i
$946$	−0.361345	−	1.03085i	−0.0117483	−	0.0335159i
$947$	24.6560	+	3.54500i	0.801212	+	0.115197i	0.530744	−	0.847532i	$-0.321912\pi$
$947$	24.6560	+	3.54500i	0.801212	+	0.115197i	0.270468	+	0.962729i	$0.412822\pi$
$948$	−0.0279569	+	0.151481i	−0.000907997	+	0.00491987i
$949$	−7.18318	+	1.03279i	−0.233176	+	0.0335256i
$950$	−55.7932	+	40.0630i	−1.81017	+	1.29982i
$951$	−0.155791	+	0.100121i	−0.00505188	+	0.00324664i
$952$	−38.7917	+	0.459468i	−1.25725	+	0.0148915i
$953$	24.6272	−	7.23120i	0.797754	−	0.234242i	0.142643	−	0.989774i	$-0.454440\pi$
$953$	24.6272	−	7.23120i	0.797754	−	0.234242i	0.655111	+	0.755533i	$0.272622\pi$
$954$	2.43938	+	12.3932i	0.0789779	+	0.401245i
$955$	−51.3752	−	44.5169i	−1.66246	−	1.44053i
$956$	21.6430	+	36.8124i	0.699984	+	1.19060i
$957$	0.0413155	−	0.0188682i	0.00133554	−	0.000609921i
$958$	−24.5776	−	2.24899i	−0.794065	−	0.0726616i
$959$	−4.50757	−	1.32354i	−0.145557	−	0.0427394i
$960$	−0.228081	+	0.276175i	−0.00736129	+	0.00891351i
$961$	14.1108	−	30.8984i	0.455188	−	0.996722i
$962$	−3.82320	+	3.67434i	−0.123265	+	0.118465i
$963$	20.7662	−	32.3128i	0.669180	−	1.04127i
$964$	26.0371	−	37.1818i	0.838597	−	1.19755i
$965$		−	16.8749i		−	0.543221i
$966$	−0.241037	−	0.0611435i	−0.00775525	−	0.00196726i
$967$	−27.4205			−0.881784			−0.440892	−	0.897560i	$-0.645338\pi$
$967$	−27.4205			−0.881784			−0.440892	+	0.897560i	$0.645338\pi$
$968$	29.0181	−	8.89513i	0.932678	−	0.285900i
$969$	−0.383837	−	0.246677i	−0.0123306	−	0.00792441i
$970$	−17.6955	−	18.4124i	−0.568169	−	0.591188i
$971$	26.7296	+	12.2070i	0.857793	+	0.391741i	0.795236	−	0.606301i	$-0.207347\pi$
$971$	26.7296	+	12.2070i	0.857793	+	0.391741i	0.0625571	+	0.998041i	$0.480074\pi$
$972$	0.266969	+	0.651891i	0.00856303	+	0.0209094i
$973$	−5.51755	+	18.7911i	−0.176885	+	0.602414i
$974$	−19.5983	−	1.79336i	−0.627970	−	0.0574630i
$975$	0.124188	+	0.271934i	0.00397720	+	0.00870886i
$976$	15.2307	+	15.4766i	0.487522	+	0.495393i
$977$	9.97649	−	11.5135i	0.319176	−	0.368349i	−0.573377	−	0.819292i	$-0.694367\pi$
$977$	9.97649	−	11.5135i	0.319176	−	0.368349i	0.892553	+	0.450943i	$0.148912\pi$
$978$	0.000902898	0	0.000177719i	2.88715e−5	0	5.68283e-6i
$979$	−0.536769	−	1.82807i	−0.0171552	−	0.0584253i
$980$	3.84925	+	4.81597i	0.122960	+	0.153841i
$981$	5.87151	+	9.13624i	0.187463	+	0.291698i
$982$	38.4104	−	27.5811i	1.22572	−	0.880148i
$983$	−0.671344	−	4.66930i	−0.0214125	−	0.148928i	0.976310	−	0.216375i	$-0.0694235\pi$
$983$	−0.671344	−	4.66930i	−0.0214125	−	0.148928i	−0.997723	+	0.0674478i	$0.978514\pi$
$984$	−0.320558	+	0.284482i	−0.0102190	+	0.00906894i
$985$	−8.75796	+	60.9129i	−0.279052	+	1.94085i
$986$	−43.6936	+	15.3159i	−1.39149	+	0.487759i
$987$	−0.161100	+	0.139594i	−0.00512787	+	0.00444333i
$988$	−11.7952	−	46.9978i	−0.375256	−	1.49520i
$989$	−0.102611	+	7.13689i	−0.00326284	+	0.226940i
$990$	5.95790	+	4.64739i	0.189354	+	0.147704i
$991$	13.5567	+	15.6453i	0.430643	+	0.496989i	0.929050	−	0.369955i	$-0.120627\pi$
$991$	13.5567	+	15.6453i	0.430643	+	0.496989i	−0.498407	+	0.866943i	$0.666081\pi$
$992$	33.6139	+	30.8072i	1.06724	+	0.978130i
$993$	0.0512747	−	0.356624i	0.00162715	−	0.0113171i
$994$	18.7717	−	9.77148i	0.595402	−	0.309932i
$995$	−52.2121	+	7.50697i	−1.65524	+	0.237987i
$996$	0.0144042	−	0.362599i	0.000456414	−	0.0114894i
$997$	−19.9284	−	31.0093i	−0.631140	−	0.982073i	−0.998644	−	0.0520512i	$-0.983424\pi$
$997$	−19.9284	−	31.0093i	−0.631140	−	0.982073i	0.367504	−	0.930022i	$-0.380212\pi$
$998$	11.7216	+	2.79467i	0.371040	+	0.0884637i
$999$	−0.0832922	+	0.0244568i	−0.00263525	+	0.000773778i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	184.2.p.a.13.11	yes	220
4.3	odd	2		736.2.x.a.657.12		220
8.3	odd	2		736.2.x.a.657.11		220
8.5	even	2	inner	184.2.p.a.13.2	✓	220
23.16	even	11	inner	184.2.p.a.85.2	yes	220
92.39	odd	22		736.2.x.a.177.11		220
184.85	even	22	inner	184.2.p.a.85.11	yes	220
184.131	odd	22		736.2.x.a.177.12		220

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
184.2.p.a.13.2	✓	220	8.5	even	2	inner
184.2.p.a.13.11	yes	220	1.1	even	1	trivial
184.2.p.a.85.2	yes	220	23.16	even	11	inner
184.2.p.a.85.11	yes	220	184.85	even	22	inner
736.2.x.a.177.11		220	92.39	odd	22
736.2.x.a.177.12		220	184.131	odd	22
736.2.x.a.657.11		220	8.3	odd	2
736.2.x.a.657.12		220	4.3	odd	2

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 184 = 2^{3} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	184.p (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.0728674 - 1.41234i) q^{2} +(-0.00705328 + 0.0109751i) q^{3} +(-1.98938 + 0.205826i) q^{4} +(-3.12173 - 1.42565i) q^{5} +(0.0160145 + 0.00916187i) q^{6} +(-2.69654 - 0.791776i) q^{7} +(0.435657 + 2.79467i) q^{8} +(1.24617 + 2.72874i) q^{9} +(-1.78602 + 4.51282i) q^{10} +(-0.392224 - 0.339864i) q^{11} +(0.0117727 - 0.0232854i) q^{12} +(-0.952512 - 3.24396i) q^{13} +(-0.921762 + 3.86611i) q^{14} +(0.0376651 - 0.0242059i) q^{15} +(3.91527 - 0.818934i) q^{16} +(-0.694560 - 4.83077i) q^{17} +(3.76309 - 1.95885i) q^{18} +(-7.09308 - 1.01983i) q^{19} +(6.50375 + 2.19362i) q^{20} +(0.0277093 - 0.0240102i) q^{21} +(-0.451422 + 0.578717i) q^{22} +(4.07137 - 2.53455i) q^{23} +(-0.0337447 - 0.0149302i) q^{24} +(4.43845 + 5.12224i) q^{25} +(-4.51215 + 1.58164i) q^{26} +(-0.0774779 - 0.0111396i) q^{27} +(5.52741 + 1.02012i) q^{28} +(6.63996 - 0.954682i) q^{29} +(-0.0369314 - 0.0514320i) q^{30} +(-6.78073 + 4.35771i) q^{31} +(-1.44191 - 5.47000i) q^{32} +(0.00649652 - 0.00190755i) q^{33} +(-6.77206 + 1.33296i) q^{34} +(7.28909 + 6.31603i) q^{35} +(-3.04076 - 5.17201i) q^{36} +(1.00880 - 0.460705i) q^{37} +(-0.923489 + 10.0921i) q^{38} +(0.0423211 + 0.0124266i) q^{39} +(2.62422 - 9.34532i) q^{40} +(4.82497 - 10.5652i) q^{41} +(-0.0359296 - 0.0373852i) q^{42} +(-0.804634 + 1.25204i) q^{43} +(0.850236 + 0.595389i) q^{44} -10.2950i q^{45} +(-3.87631 - 5.56545i) q^{46} -5.81394 q^{47} +(-0.0186276 + 0.0487467i) q^{48} +(0.755644 + 0.485623i) q^{49} +(6.91091 - 6.64182i) q^{50} +(0.0579172 + 0.0264499i) q^{51} +(2.56260 + 6.25741i) q^{52} +(-0.838810 + 2.85672i) q^{53} +(-0.0100873 + 0.110237i) q^{54} +(0.739893 + 1.62014i) q^{55} +(1.03799 - 7.88089i) q^{56} +(0.0612223 - 0.0706543i) q^{57} +(-1.83217 - 9.30828i) q^{58} +(1.75773 + 5.98626i) q^{59} +(-0.0699481 + 0.0559072i) q^{60} +(2.93487 + 4.56674i) q^{61} +(6.64864 + 9.25913i) q^{62} +(-1.19981 - 8.34485i) q^{63} +(-7.62041 + 2.43504i) q^{64} +(-1.65125 + 11.4847i) q^{65} +(-0.00316748 - 0.00903626i) q^{66} +(0.599731 - 0.519670i) q^{67} +(2.37605 + 9.46729i) q^{68} +(-0.000899469 + 0.0625607i) q^{69} +(8.38921 - 10.7549i) q^{70} +(-3.48690 - 4.02409i) q^{71} +(-7.08304 + 4.67145i) q^{72} +(0.305476 - 2.12463i) q^{73} +(-0.724179 - 1.39120i) q^{74} +(-0.0875229 + 0.0125839i) q^{75} +(14.3207 + 0.568889i) q^{76} +(0.788552 + 1.22701i) q^{77} +(0.0144667 - 0.0606771i) q^{78} +(-5.66448 + 1.66324i) q^{79} +(-13.3899 - 3.02530i) q^{80} +(-5.89274 + 6.80059i) q^{81} +(-15.2732 - 6.04461i) q^{82} +(12.6509 - 5.77749i) q^{83} +(-0.0501824 + 0.0534688i) q^{84} +(-4.71875 + 16.0706i) q^{85} +(1.82693 + 1.04518i) q^{86} +(-0.0363557 + 0.0796079i) q^{87} +(0.778935 - 1.24420i) q^{88} +(3.08831 + 1.98473i) q^{89} +(-14.5400 + 0.750171i) q^{90} +9.50164i q^{91} +(-7.57782 + 5.88019i) q^{92} -0.105156i q^{93} +(0.423647 + 8.21123i) q^{94} +(20.6888 + 13.2959i) q^{95} +(0.0702041 + 0.0227564i) q^{96} +(-2.18580 + 4.78624i) q^{97} +(0.630801 - 1.10261i) q^{98} +(0.438622 - 1.49381i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 220 q - 11 q^{2} - 11 q^{4} - 14 q^{6} - 22 q^{7} - 14 q^{8} - 9 q^{10} - 12 q^{12} - 3 q^{14} - 22 q^{15} + 5 q^{16} - 18 q^{17} - 4 q^{18} - 27 q^{20} - 42 q^{22} - 16 q^{23} - 22 q^{24} - 4 q^{25} - 16 q^{26}+ \cdots + 109 q^{98}+O(q^{100}) \) 220 * q - 11 * q^2 - 11 * q^4 - 14 * q^6 - 22 * q^7 - 14 * q^8 - 9 * q^10 - 12 * q^12 - 3 * q^14 - 22 * q^15 + 5 * q^16 - 18 * q^17 - 4 * q^18 - 27 * q^20 - 42 * q^22 - 16 * q^23 - 22 * q^24 - 4 * q^25 - 16 * q^26 - 17 * q^28 - 37 * q^30 - 34 * q^31 - 11 * q^32 - 30 * q^33 - 23 * q^34 + 37 * q^36 - 78 * q^38 - 18 * q^39 + 99 * q^40 - 18 * q^41 - 77 * q^42 + 48 * q^44 - 99 * q^46 - 40 * q^47 + 116 * q^48 - 28 * q^49 - 60 * q^50 + 98 * q^52 - 114 * q^54 - 38 * q^55 + 66 * q^56 - 30 * q^57 - 51 * q^58 - 45 * q^60 + 18 * q^62 + 18 * q^63 - 14 * q^64 - 38 * q^65 - 12 * q^66 + 10 * q^68 - 38 * q^70 - 26 * q^71 + 55 * q^72 - 18 * q^73 + 10 * q^74 + 72 * q^76 + 42 * q^78 - 22 * q^79 + 66 * q^80 - 52 * q^81 + 64 * q^82 + 125 * q^84 + 121 * q^86 - 42 * q^87 + 17 * q^88 - 2 * q^89 + 204 * q^90 + 88 * q^92 + 105 * q^94 - 78 * q^95 + 157 * q^96 - 18 * q^97 + 109 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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