LMFDB - Embedded newform 672.2.cj.a.445.39

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [672,2,Mod(37,672)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(672, base_ring=CyclotomicField(24))

chi = DirichletCharacter(H, H._module([0, 3, 0, 8]))

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

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

chi := DirichletCharacter("672.37");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 672 = 2^{5} \cdot 3 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	672.cj (of order $24$, degree $8$, 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:	$5.36594701583$
Analytic rank:	$0$
Dimension:	$512$
Relative dimension:	$64$ over $\Q(\zeta_{24})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label			445.39
Character	$\chi$	$=$	672.445
Dual form			672.2.cj.a.373.39

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.534043 - 1.30950i) q^{2} +(-0.793353 + 0.608761i) q^{3} +(-1.42960 - 1.39866i) q^{4} +(-0.913658 + 1.19070i) q^{5} +(0.373490 + 1.36400i) q^{6} +(2.43319 - 1.03902i) q^{7} +(-2.59502 + 1.12512i) q^{8} +(0.258819 - 0.965926i) q^{9} +O(q^{10})$	\(q+(0.534043 - 1.30950i) q^{2} +(-0.793353 + 0.608761i) q^{3} +(-1.42960 - 1.39866i) q^{4} +(-0.913658 + 1.19070i) q^{5} +(0.373490 + 1.36400i) q^{6} +(2.43319 - 1.03902i) q^{7} +(-2.59502 + 1.12512i) q^{8} +(0.258819 - 0.965926i) q^{9} +(1.07130 + 1.83232i) q^{10} +(-0.739827 + 5.61954i) q^{11} +(1.98563 + 0.239350i) q^{12} +(0.140012 - 0.338019i) q^{13} +(-0.0611736 - 3.74116i) q^{14} -1.50085i q^{15} +(0.0874920 + 3.99904i) q^{16} +(1.79406 + 1.03580i) q^{17} +(-1.12666 - 0.854770i) q^{18} +(4.95480 - 0.652311i) q^{19} +(2.97155 - 0.424325i) q^{20} +(-1.29787 + 2.30555i) q^{21} +(6.96371 + 3.96988i) q^{22} +(0.271442 - 1.01304i) q^{23} +(1.37384 - 2.47236i) q^{24} +(0.711095 + 2.65384i) q^{25} +(-0.367864 - 0.363862i) q^{26} +(0.382683 + 0.923880i) q^{27} +(-4.93173 - 1.91783i) q^{28} +(3.13382 + 1.29807i) q^{29} +(-1.96536 - 0.801516i) q^{30} +(1.79323 - 3.10597i) q^{31} +(5.28348 + 2.02109i) q^{32} +(-2.83402 - 4.90866i) q^{33} +(2.31449 - 1.79617i) q^{34} +(-0.985940 + 3.84652i) q^{35} +(-1.72101 + 1.01888i) q^{36} +(-2.47655 + 3.22750i) q^{37} +(1.79187 - 6.83668i) q^{38} +(0.0946938 + 0.353402i) q^{39} +(1.03128 - 4.11786i) q^{40} +(2.68923 + 2.68923i) q^{41} +(2.32600 + 2.93082i) q^{42} +(3.95064 - 1.63641i) q^{43} +(8.91749 - 6.99891i) q^{44} +(0.913658 + 1.19070i) q^{45} +(-1.18161 - 0.896459i) q^{46} +(5.09888 - 2.94384i) q^{47} +(-2.50388 - 3.11939i) q^{48} +(4.84086 - 5.05629i) q^{49} +(3.85497 + 0.486085i) q^{50} +(-2.05388 + 0.270399i) q^{51} +(-0.672934 + 0.287401i) q^{52} +(-1.71114 + 12.9974i) q^{53} +(1.41419 - 0.00773386i) q^{54} +(-6.01525 - 6.01525i) q^{55} +(-5.14516 + 5.43391i) q^{56} +(-3.53380 + 3.53380i) q^{57} +(3.37342 - 3.41052i) q^{58} +(5.07330 + 0.667913i) q^{59} +(-2.09918 + 2.14561i) q^{60} +(-0.435326 - 3.30663i) q^{61} +(-3.10961 - 4.00696i) q^{62} +(-0.373862 - 2.61920i) q^{63} +(5.46823 - 5.83939i) q^{64} +(0.274556 + 0.475546i) q^{65} +(-7.94139 + 1.08972i) q^{66} +(-6.78148 + 5.20361i) q^{67} +(-1.11605 - 3.99007i) q^{68} +(0.401348 + 0.968940i) q^{69} +(4.51049 + 3.34530i) q^{70} +(4.04221 - 4.04221i) q^{71} +(0.415138 + 2.79780i) q^{72} +(-12.1330 + 3.25104i) q^{73} +(2.90384 + 4.96667i) q^{74} +(-2.17971 - 1.67255i) q^{75} +(-7.99572 - 5.99754i) q^{76} +(4.03869 + 14.4421i) q^{77} +(0.513351 + 0.0647300i) q^{78} +(-3.03287 + 1.75103i) q^{79} +(-4.84161 - 3.54958i) q^{80} +(-0.866025 - 0.500000i) q^{81} +(4.95772 - 2.08539i) q^{82} +(2.55942 - 6.17898i) q^{83} +(5.08010 - 1.48073i) q^{84} +(-2.87249 + 1.18982i) q^{85} +(-0.0330711 - 6.04729i) q^{86} +(-3.27644 + 0.877919i) q^{87} +(-4.40277 - 15.4152i) q^{88} +(-11.4223 - 3.06061i) q^{89} +(2.04716 - 0.560552i) q^{90} +(-0.0105329 - 0.967940i) q^{91} +(-1.80495 + 1.06858i) q^{92} +(0.468127 + 3.55578i) q^{93} +(-1.13195 - 8.24913i) q^{94} +(-3.75028 + 6.49567i) q^{95} +(-5.42203 + 1.61294i) q^{96} -4.81508 q^{97} +(-4.03599 - 9.03940i) q^{98} +(5.23658 + 2.16906i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 512 q+O(q^{10}) $ 512 * q	$ 512 q - 64 q^{14} + 8 q^{16} + 8 q^{18} + 64 q^{20} + 16 q^{22} + 16 q^{23} - 40 q^{28} + 96 q^{31} + 48 q^{35} - 80 q^{38} + 64 q^{40} - 32 q^{43} - 8 q^{44} - 48 q^{50} + 24 q^{52} + 32 q^{53} - 32 q^{58} + 64 q^{59} - 48 q^{60} - 48 q^{64} + 48 q^{66} - 16 q^{67} + 72 q^{70} - 128 q^{71} - 144 q^{74} - 48 q^{78} + 24 q^{80} + 40 q^{82} - 88 q^{88} + 48 q^{91} + 128 q^{92} - 24 q^{94} - 40 q^{96} - 88 q^{98}+O(q^{100}) $ 512 * q - 64 * q^14 + 8 * q^16 + 8 * q^18 + 64 * q^20 + 16 * q^22 + 16 * q^23 - 40 * q^28 + 96 * q^31 + 48 * q^35 - 80 * q^38 + 64 * q^40 - 32 * q^43 - 8 * q^44 - 48 * q^50 + 24 * q^52 + 32 * q^53 - 32 * q^58 + 64 * q^59 - 48 * q^60 - 48 * q^64 + 48 * q^66 - 16 * q^67 + 72 * q^70 - 128 * q^71 - 144 * q^74 - 48 * q^78 + 24 * q^80 + 40 * q^82 - 88 * q^88 + 48 * q^91 + 128 * q^92 - 24 * q^94 - 40 * q^96 - 88 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/672\mathbb{Z}\right)^\times$.

$n$	$127$	$421$	$449$	$577$
$\chi(n)$	$1$	$e\left(\frac{3}{8}\right)$	$1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	0.534043	−	1.30950i	0.377625	−	0.925958i
$2$	0.534043	−	1.30950i	0.377625	−	0.925958i
$3$	−0.793353	+	0.608761i	−0.458043	+	0.351469i
$3$	−0.793353	+	0.608761i	−0.458043	+	0.351469i
$4$	−1.42960	−	1.39866i	−0.714798	−	0.699331i
$5$	−0.913658	+	1.19070i	−0.408600	+	0.532498i	−0.951643	−	0.307207i	$-0.900606\pi$
$5$	−0.913658	+	1.19070i	−0.408600	+	0.532498i	0.543043	+	0.839705i	$0.317272\pi$
$6$	0.373490	+	1.36400i	0.152477	+	0.556852i
$7$	2.43319	−	1.03902i	0.919661	−	0.392714i
$7$	2.43319	−	1.03902i	0.919661	−	0.392714i
$8$	−2.59502	+	1.12512i	−0.917477	+	0.397788i
$9$	0.258819	−	0.965926i	0.0862730	−	0.321975i
$10$	1.07130	+	1.83232i	0.338773	+	0.579431i
$11$	−0.739827	+	5.61954i	−0.223066	+	1.69436i	0.403493	+	0.914983i	$0.367796\pi$
$11$	−0.739827	+	5.61954i	−0.223066	+	1.69436i	−0.626559	+	0.779374i	$0.715537\pi$
$12$	1.98563	+	0.239350i	0.573201	+	0.0690943i
$13$	0.140012	−	0.338019i	0.0388323	−	0.0937495i	−0.903273	−	0.429065i	$-0.858843\pi$
$13$	0.140012	−	0.338019i	0.0388323	−	0.0937495i	0.942106	+	0.335316i	$0.108843\pi$
$14$	−0.0611736	−	3.74116i	−0.0163493	−	0.999866i
$15$		−	1.50085i		−	0.387517i
$16$	0.0874920	+	3.99904i	0.0218730	+	0.999761i
$17$	1.79406	+	1.03580i	0.435124	+	0.251219i	0.701527	−	0.712643i	$-0.252502\pi$
$17$	1.79406	+	1.03580i	0.435124	+	0.251219i	−0.266403	+	0.963862i	$0.585835\pi$
$18$	−1.12666	−	0.854770i	−0.265557	−	0.201471i
$19$	4.95480	−	0.652311i	1.13671	−	0.149650i	0.461404	−	0.887190i	$-0.347346\pi$
$19$	4.95480	−	0.652311i	1.13671	−	0.149650i	0.675304	+	0.737540i	$0.264012\pi$
$20$	2.97155	−	0.424325i	0.664459	−	0.0948820i
$21$	−1.29787	+	2.30555i	−0.283217	+	0.503112i
$22$	6.96371	+	3.96988i	1.48467	+	0.846382i
$23$	0.271442	−	1.01304i	0.0565996	−	0.211233i	−0.931834	−	0.362884i	$-0.881792\pi$
$23$	0.271442	−	1.01304i	0.0565996	−	0.211233i	0.988434	+	0.151651i	$0.0484589\pi$
$24$	1.37384	−	2.47236i	0.280434	−	0.504669i
$25$	0.711095	+	2.65384i	0.142219	+	0.530768i
$26$	−0.367864	−	0.363862i	−0.0721441	−	0.0713593i
$27$	0.382683	+	0.923880i	0.0736475	+	0.177801i
$28$	−4.93173	−	1.91783i	−0.932009	−	0.362436i
$29$	3.13382	+	1.29807i	0.581935	+	0.241045i	0.654177	−	0.756342i	$-0.273015\pi$
$29$	3.13382	+	1.29807i	0.581935	+	0.241045i	−0.0722417	+	0.997387i	$0.523015\pi$
$30$	−1.96536	−	0.801516i	−0.358825	−	0.146336i
$31$	1.79323	−	3.10597i	0.322074	−	0.557848i	−0.658842	−	0.752281i	$-0.728953\pi$
$31$	1.79323	−	3.10597i	0.322074	−	0.557848i	0.980916	+	0.194433i	$0.0622867\pi$
$32$	5.28348	+	2.02109i	0.933997	+	0.357281i
$33$	−2.83402	−	4.90866i	−0.493339	−	0.854488i
$34$	2.31449	−	1.79617i	0.396932	−	0.308040i
$35$	−0.985940	+	3.84652i	−0.166654	+	0.650180i
$36$	−1.72101	+	1.01888i	−0.286835	+	0.169814i
$37$	−2.47655	+	3.22750i	−0.407142	+	0.530598i	−0.951251	−	0.308417i	$-0.900201\pi$
$37$	−2.47655	+	3.22750i	−0.407142	+	0.530598i	0.544109	+	0.839014i	$0.316868\pi$
$38$	1.79187	−	6.83668i	0.290680	−	1.10906i
$39$	0.0946938	+	0.353402i	0.0151631	+	0.0565896i
$40$	1.03128	−	4.11786i	0.163060	−	0.651091i
$41$	2.68923	+	2.68923i	0.419987	+	0.419987i	0.885199	−	0.465212i	$-0.154022\pi$
$41$	2.68923	+	2.68923i	0.419987	+	0.419987i	−0.465212	+	0.885199i	$0.654022\pi$
$42$	2.32600	+	2.93082i	0.358910	+	0.452235i
$43$	3.95064	−	1.63641i	0.602467	−	0.249550i	−0.0605370	−	0.998166i	$-0.519281\pi$
$43$	3.95064	−	1.63641i	0.602467	−	0.249550i	0.663004	+	0.748616i	$0.269281\pi$
$44$	8.91749	−	6.99891i	1.34436	−	1.05513i
$45$	0.913658	+	1.19070i	0.136200	+	0.177499i
$46$	−1.18161	−	0.896459i	−0.174219	−	0.132176i
$47$	5.09888	−	2.94384i	0.743747	−	0.429403i	−0.0796828	−	0.996820i	$-0.525391\pi$
$47$	5.09888	−	2.94384i	0.743747	−	0.429403i	0.823430	+	0.567417i	$0.192057\pi$
$48$	−2.50388	−	3.11939i	−0.361403	−	0.450246i
$49$	4.84086	−	5.05629i	0.691552	−	0.722327i
$50$	3.85497	+	0.486085i	0.545175	+	0.0687427i
$51$	−2.05388	+	0.270399i	−0.287601	+	0.0378634i
$52$	−0.672934	+	0.287401i	−0.0933192	+	0.0398553i
$53$	−1.71114	+	12.9974i	−0.235044	+	1.78533i	0.313881	+	0.949462i	$0.398371\pi$
$53$	−1.71114	+	12.9974i	−0.235044	+	1.78533i	−0.548924	+	0.835872i	$0.684962\pi$
$54$	1.41419	−	0.00773386i	0.192447	−	0.00105244i
$55$	−6.01525	−	6.01525i	−0.811096	−	0.811096i
$56$	−5.14516	+	5.43391i	−0.687551	+	0.726136i
$57$	−3.53380	+	3.53380i	−0.468063	+	0.468063i
$58$	3.37342	−	3.41052i	0.442951	−	0.447823i
$59$	5.07330	+	0.667913i	0.660488	+	0.0869548i	0.453316	−	0.891350i	$-0.350241\pi$
$59$	5.07330	+	0.667913i	0.660488	+	0.0869548i	0.207171	+	0.978305i	$0.433574\pi$
$60$	−2.09918	+	2.14561i	−0.271003	+	0.276996i
$61$	−0.435326	−	3.30663i	−0.0557378	−	0.423371i	−0.996451	−	0.0841690i	$-0.973176\pi$
$61$	−0.435326	−	3.30663i	−0.0557378	−	0.423371i	0.940714	−	0.339202i	$-0.110157\pi$
$62$	−3.10961	−	4.00696i	−0.394921	−	0.508885i
$63$	−0.373862	−	2.61920i	−0.0471022	−	0.329989i
$64$	5.46823	−	5.83939i	0.683529	−	0.729924i
$65$	0.274556	+	0.475546i	0.0340545	+	0.0589842i
$66$	−7.94139	+	1.08972i	−0.977518	+	0.134135i
$67$	−6.78148	+	5.20361i	−0.828489	+	0.635722i	−0.933431	−	0.358756i	$-0.883201\pi$
$67$	−6.78148	+	5.20361i	−0.828489	+	0.635722i	0.104942	+	0.994478i	$0.466534\pi$
$68$	−1.11605	−	3.99007i	−0.135341	−	0.483866i
$69$	0.401348	+	0.968940i	0.0483166	+	0.116647i
$70$	4.51049	+	3.34530i	0.539107	+	0.399839i
$71$	4.04221	−	4.04221i	0.479722	−	0.479722i	−0.425321	−	0.905043i	$-0.639839\pi$
$71$	4.04221	−	4.04221i	0.479722	−	0.479722i	0.905043	+	0.425321i	$0.139839\pi$
$72$	0.415138	+	2.79780i	0.0489245	+	0.329723i
$73$	−12.1330	+	3.25104i	−1.42006	+	0.380505i	−0.885506	−	0.464627i	$-0.846188\pi$
$73$	−12.1330	+	3.25104i	−1.42006	+	0.380505i	−0.534558	+	0.845132i	$0.679522\pi$
$74$	2.90384	+	4.96667i	0.337564	+	0.577364i
$75$	−2.17971	−	1.67255i	−0.251691	−	0.193129i
$76$	−7.99572	−	5.99754i	−0.917172	−	0.687965i
$77$	4.03869	+	14.4421i	0.460252	+	1.64583i
$78$	0.513351	+	0.0647300i	0.0581256	+	0.00732923i
$79$	−3.03287	+	1.75103i	−0.341224	+	0.197006i	−0.660813	−	0.750550i	$-0.729788\pi$
$79$	−3.03287	+	1.75103i	−0.341224	+	0.197006i	0.319589	+	0.947556i	$0.396455\pi$
$80$	−4.84161	−	3.54958i	−0.541308	−	0.396855i
$81$	−0.866025	−	0.500000i	−0.0962250	−	0.0555556i
$82$	4.95772	−	2.08539i	0.547489	−	0.230293i
$83$	2.55942	−	6.17898i	0.280933	−	0.678231i	−0.718925	−	0.695087i	$-0.755366\pi$
$83$	2.55942	−	6.17898i	0.280933	−	0.678231i	0.999858	+	0.0168561i	$0.00536573\pi$
$84$	5.08010	−	1.48073i	0.554285	−	0.161561i
$85$	−2.87249	+	1.18982i	−0.311565	+	0.129055i
$86$	−0.0330711	−	6.04729i	−0.00356614	−	0.652096i
$87$	−3.27644	+	0.877919i	−0.351271	+	0.0941228i
$88$	−4.40277	−	15.4152i	−0.469337	−	1.64327i
$89$	−11.4223	−	3.06061i	−1.21077	−	0.324424i	−0.403703	−	0.914890i	$-0.632277\pi$
$89$	−11.4223	−	3.06061i	−1.21077	−	0.324424i	−0.807062	+	0.590466i	$0.798944\pi$
$90$	2.04716	−	0.560552i	0.215790	−	0.0590873i
$91$	−0.0105329	−	0.967940i	−0.00110415	−	0.101468i
$92$	−1.80495	+	1.06858i	−0.188179	+	0.111407i
$93$	0.468127	+	3.55578i	0.0485425	+	0.368717i
$94$	−1.13195	−	8.24913i	−0.116751	−	0.850833i
$95$	−3.75028	+	6.49567i	−0.384770	+	0.666442i
$96$	−5.42203	+	1.61294i	−0.553384	+	0.164620i
$97$	−4.81508			−0.488897			−0.244449	−	0.969662i	$-0.578607\pi$
$97$	−4.81508			−0.488897			−0.244449	+	0.969662i	$0.578607\pi$
$98$	−4.03599	−	9.03940i	−0.407697	−	0.913117i
$99$	5.23658	+	2.16906i	0.526296	+	0.217999i
$100$	2.69525	−	4.78850i	0.269525	−	0.478850i
$101$	−16.3630	−	2.15423i	−1.62818	−	0.214354i	−0.739592	−	0.673056i	$-0.764981\pi$
$101$	−16.3630	−	2.15423i	−1.62818	−	0.214354i	−0.888590	+	0.458702i	$0.848315\pi$
$102$	−0.742773	+	2.83397i	−0.0735455	+	0.280605i
$103$	7.91431	+	2.12063i	0.779820	+	0.208952i	0.626705	−	0.779256i	$-0.284403\pi$
$103$	7.91431	+	2.12063i	0.779820	+	0.208952i	0.153115	+	0.988208i	$0.451070\pi$
$104$	0.0169768	+	1.03469i	0.00166471	+	0.101460i
$105$	−1.55941	−	3.65185i	−0.152183	−	0.356384i
$106$	16.1064	+	9.18193i	1.56439	+	0.891828i
$107$	−3.48991	−	2.67790i	−0.337382	−	0.258882i	0.426150	−	0.904653i	$-0.359870\pi$
$107$	−3.48991	−	2.67790i	−0.337382	−	0.258882i	−0.763532	+	0.645770i	$0.776536\pi$
$108$	0.745112	−	1.85602i	0.0716984	−	0.178596i
$109$	−0.884818	−	1.15312i	−0.0847502	−	0.110449i	0.749054	−	0.662509i	$-0.230508\pi$
$109$	−0.884818	−	1.15312i	−0.0847502	−	0.110449i	−0.833804	+	0.552061i	$0.813842\pi$
$110$	−11.0894	+	4.66459i	−1.05733	+	0.444751i
$111$		−	4.06817i		−	0.386134i
$112$	4.36798	+	9.63954i	0.412735	+	0.910851i
$113$			19.8211i			1.86461i	0.361676	+	0.932304i	$0.382205\pi$
$113$			19.8211i			1.86461i	−0.361676	+	0.932304i	$0.617795\pi$
$114$	2.74032	+	6.51473i	0.256655	+	0.610160i
$115$	0.958219	+	1.24878i	0.0893544	+	0.116449i
$116$	−2.66453	−	6.23886i	−0.247396	−	0.579264i
$117$	−0.290263	−	0.222727i	−0.0268348	−	0.0205911i
$118$	3.58399	−	6.28681i	0.329933	−	0.578748i
$119$	5.44152	+	0.656236i	0.498824	+	0.0601571i
$120$	1.68863	+	3.89472i	0.154150	+	0.355538i
$121$	−20.4067	−	5.46797i	−1.85516	−	0.497088i
$122$	−4.56253	−	1.19582i	−0.413072	−	0.108265i
$123$	−3.77061	−	0.496410i	−0.339985	−	0.0447598i
$124$	−6.90780	+	1.93216i	−0.620338	+	0.173513i
$125$	−10.7426	−	4.44975i	−0.960851	−	0.397997i
$126$	−3.62951	−	0.909194i	−0.323343	−	0.0809974i
$127$	−1.93685			−0.171868			−0.0859338	−	0.996301i	$-0.527387\pi$
$127$	−1.93685			−0.171868			−0.0859338	+	0.996301i	$0.527387\pi$
$128$	−4.72643	−	10.2791i	−0.417761	−	0.908557i
$129$	−2.13807	+	3.70325i	−0.188247	+	0.326053i
$130$	0.769353	−	0.105571i	0.0674767	−	0.00925916i
$131$	1.68618	+	12.8078i	0.147322	+	1.11902i	0.892141	+	0.451757i	$0.149202\pi$
$131$	1.68618	+	12.8078i	0.147322	+	1.11902i	−0.744819	+	0.667267i	$0.767464\pi$
$132$	−2.81406	+	10.9812i	−0.244932	+	0.955794i
$133$	11.3782	−	6.73534i	0.986616	−	0.584028i
$134$	3.19254	+	11.6593i	0.275794	+	1.00721i
$135$	−1.44971	−	0.388448i	−0.124771	−	0.0334323i
$136$	−5.82102	−	0.669397i	−0.499148	−	0.0574003i
$137$	−10.7529	+	2.88122i	−0.918678	+	0.246159i	−0.687020	−	0.726638i	$-0.741082\pi$
$137$	−10.7529	+	2.88122i	−0.918678	+	0.246159i	−0.231658	+	0.972797i	$0.574415\pi$
$138$	1.48317	−	0.00811106i	0.126255	−	0.000690459i
$139$	9.83083	−	4.07207i	0.833841	−	0.345388i	0.0754186	−	0.997152i	$-0.475971\pi$
$139$	9.83083	−	4.07207i	0.833841	−	0.345388i	0.758422	+	0.651764i	$0.225971\pi$
$140$	6.78947	−	4.11997i	0.573815	−	0.348201i
$141$	−2.25312	+	5.43950i	−0.189747	+	0.458089i
$142$	−3.13457	−	7.45199i	−0.263047	−	0.625357i
$143$	1.79593	+	1.03688i	0.150183	+	0.0867081i
$144$	3.88542	+	0.950518i	0.323785	+	0.0792098i
$145$	−4.40885	+	2.54545i	−0.366135	+	0.211388i
$146$	−2.22232	+	17.6244i	−0.183920	+	1.45861i
$147$	−0.762443	+	6.95835i	−0.0628852	+	0.573915i
$148$	8.05464	−	1.15017i	0.662088	−	0.0945434i
$149$	8.54101	+	6.55374i	0.699706	+	0.536904i	0.896227	−	0.443596i	$-0.146298\pi$
$149$	8.54101	+	6.55374i	0.699706	+	0.536904i	−0.196520	+	0.980500i	$0.562964\pi$
$150$	−3.35426	+	1.96112i	−0.273874	+	0.160125i
$151$	13.2329	−	3.54575i	1.07688	−	0.288549i	0.323563	−	0.946207i	$-0.395119\pi$
$151$	13.2329	−	3.54575i	1.07688	−	0.288549i	0.753317	+	0.657657i	$0.228452\pi$
$152$	−12.1239	+	7.26748i	−0.983374	+	0.589470i
$153$	1.46485	−	1.46485i	0.118426	−	0.118426i
$154$	21.0689	+	2.42404i	1.69778	+	0.195335i
$155$	2.05988	+	4.97299i	0.165454	+	0.399441i
$156$	0.358916	−	0.637667i	0.0287363	−	0.0510542i
$157$	10.6670	−	8.18510i	0.851321	−	0.653242i	−0.0880602	−	0.996115i	$-0.528067\pi$
$157$	10.6670	−	8.18510i	0.851321	−	0.653242i	0.939382	+	0.342873i	$0.111400\pi$
$158$	0.673293	+	4.90667i	0.0535643	+	0.390354i
$159$	−6.55479	−	11.3532i	−0.519829	−	0.900370i
$160$	−7.23381	+	4.44447i	−0.571883	+	0.351366i
$161$	−0.392096	−	2.74695i	−0.0309015	−	0.216490i
$162$	−1.11725	+	0.867041i	−0.0877792	+	0.0681212i
$163$	−0.757459	−	5.75347i	−0.0593288	−	0.450647i	−0.995165	−	0.0982128i	$-0.968687\pi$
$163$	−0.757459	−	5.75347i	−0.0593288	−	0.450647i	0.935837	−	0.352434i	$-0.114646\pi$
$164$	−0.0831913	−	7.60584i	−0.00649615	−	0.593916i
$165$	8.43407	+	1.11037i	0.656592	+	0.0864419i
$166$	−6.72455	−	6.65140i	−0.521927	−	0.516249i
$167$	14.0898	−	14.0898i	1.09030	−	1.09030i	0.0948073	−	0.995496i	$-0.469777\pi$
$167$	14.0898	−	14.0898i	1.09030	−	1.09030i	0.995496	−	0.0948073i	$-0.0302235\pi$
$168$	0.773976	−	7.44318i	0.0597136	−	0.574254i
$169$	9.09773	+	9.09773i	0.699826	+	0.699826i
$170$	0.0240458	+	4.39695i	0.00184423	+	0.337231i
$171$	0.652311	−	4.95480i	0.0498835	−	0.378903i
$172$	−7.93660	−	3.18620i	−0.605160	−	0.242946i
$173$	12.1113	−	1.59448i	0.920802	−	0.121226i	0.344802	−	0.938676i	$-0.387946\pi$
$173$	12.1113	−	1.59448i	0.920802	−	0.121226i	0.576000	+	0.817450i	$0.304613\pi$
$174$	−0.600121	+	4.75935i	−0.0454950	+	0.360805i
$175$	4.48763	+	5.71847i	0.339233	+	0.432276i
$176$	−22.5375	−	2.46693i	−1.69883	−	0.185952i
$177$	−4.43152	+	2.55854i	−0.333093	+	0.192312i
$178$	−10.1079	+	13.3231i	−0.757619	+	0.998608i
$179$	−14.1165	−	18.3970i	−1.05512	−	1.37506i	−0.923431	−	0.383764i	$-0.874628\pi$
$179$	−14.1165	−	18.3970i	−1.05512	−	1.37506i	−0.131686	−	0.991291i	$-0.542039\pi$
$180$	0.359227	−	2.98012i	0.0267752	−	0.222125i
$181$	19.0993	−	7.91117i	1.41964	−	0.588033i	0.464867	−	0.885380i	$-0.346102\pi$
$181$	19.0993	−	7.91117i	1.41964	−	0.588033i	0.954769	+	0.297348i	$0.0961020\pi$
$182$	−1.27315	−	0.503129i	−0.0943718	−	0.0372944i
$183$	2.35832	+	2.35832i	0.174332	+	0.174332i
$184$	0.435386	+	2.93425i	0.0320971	+	0.216316i
$185$	−1.58027	−	5.89766i	−0.116184	−	0.433604i
$186$	4.90631	+	1.28592i	0.359748	+	0.0942886i
$187$	−7.14803	+	9.31550i	−0.522716	+	0.681217i
$188$	−11.4068	−	2.92310i	−0.831924	−	0.213189i
$189$	1.89107	+	1.85036i	0.137555	+	0.134594i
$190$	6.50329	+	8.37997i	0.471799	+	0.607947i
$191$	−1.59537	−	2.76327i	−0.115437	−	0.199943i	0.802517	−	0.596629i	$-0.203494\pi$
$191$	−1.59537	−	2.76327i	−0.115437	−	0.199943i	−0.917954	+	0.396686i	$0.870160\pi$
$192$	−0.783443	+	7.96155i	−0.0565401	+	0.574575i
$193$	11.3844	−	19.7184i	0.819468	−	1.41936i	−0.0866069	−	0.996243i	$-0.527602\pi$
$193$	11.3844	−	19.7184i	0.819468	−	1.41936i	0.906075	−	0.423118i	$-0.139064\pi$
$194$	−2.57146	+	6.30536i	−0.184620	+	0.452698i
$195$	−0.507314	−	0.210136i	−0.0363295	−	0.0150482i
$196$	−13.9925	+	0.457720i	−0.999465	+	0.0326943i
$197$	−6.23568	−	15.0543i	−0.444274	−	1.07257i	−0.974434	−	0.224674i	$-0.927868\pi$
$197$	−6.23568	−	15.0543i	−0.444274	−	1.07257i	0.530160	−	0.847898i	$-0.322132\pi$
$198$	5.63695	−	5.69895i	0.400601	−	0.405007i
$199$	−2.38884	−	8.91526i	−0.169340	−	0.631986i	−0.997447	−	0.0714152i	$-0.977248\pi$
$199$	−2.38884	−	8.91526i	−0.169340	−	0.631986i	0.828107	−	0.560571i	$-0.189418\pi$
$200$	−4.83118	−	6.08670i	−0.341616	−	0.430395i
$201$	2.21235	−	8.25660i	0.156047	−	0.582376i
$202$	−11.5595	+	20.2770i	−0.813326	+	1.42668i
$203$	8.97390	−	0.0976523i	0.629844	−	0.00685385i
$204$	3.31442	+	2.48612i	0.232056	+	0.174064i
$205$	−5.65911	+	0.745036i	−0.395249	+	0.0520356i
$206$	7.00356	−	9.23130i	0.487961	−	0.643175i
$207$	−0.908264	−	0.524386i	−0.0631287	−	0.0364474i
$208$	1.36400	+	0.530340i	0.0945764	+	0.0367724i
$209$			28.3263i			1.95937i
$210$	−5.61490	+	0.0918123i	−0.387465	+	0.00633565i
$211$	−7.87099	+	19.0023i	−0.541861	+	1.30817i	0.381547	+	0.924350i	$0.375392\pi$
$211$	−7.87099	+	19.0023i	−0.541861	+	1.30817i	−0.923408	+	0.383820i	$0.874608\pi$
$212$	20.6253	−	16.1878i	1.41655	−	1.11178i
$213$	−0.746159	+	5.66764i	−0.0511259	+	0.388340i
$214$	−5.37048	+	3.13993i	−0.367118	+	0.214641i
$215$	−1.66106	+	6.19915i	−0.113283	+	0.422778i
$216$	−2.03254	−	1.96692i	−0.138297	−	0.133832i
$217$	1.13611	−	9.42063i	0.0771241	−	0.639514i
$218$	−1.98254	+	0.542858i	−0.134275	+	0.0367670i
$219$	7.64668	−	9.96534i	0.516715	−	0.673395i
$220$	0.186082	+	17.0127i	0.0125456	+	1.14699i
$221$	0.601310	−	0.461402i	0.0404485	−	0.0310372i
$222$	−5.32729	−	2.17258i	−0.357544	−	0.145814i
$223$	−28.2576			−1.89227			−0.946136	−	0.323770i	$-0.895049\pi$
$223$	−28.2576			−1.89227			−0.946136	+	0.323770i	$0.895049\pi$
$224$	14.9557	−	0.571958i	0.999270	−	0.0382155i
$225$	2.74746			0.183164
$226$	25.9557	+	10.5853i	1.72655	+	0.704123i
$227$	−10.1945	+	7.82248i	−0.676630	+	0.519196i	−0.888950	−	0.458004i	$-0.848565\pi$
$227$	−10.1945	+	7.82248i	−0.676630	+	0.519196i	0.212320	+	0.977200i	$0.431898\pi$
$228$	9.99450	−	0.109318i	0.661902	−	0.00723976i
$229$	−4.78576	+	6.23692i	−0.316252	+	0.412147i	−0.924248	−	0.381792i	$-0.875307\pi$
$229$	−4.78576	+	6.23692i	−0.316252	+	0.412147i	0.607996	+	0.793940i	$0.291974\pi$
$230$	2.14701	−	0.587891i	0.141569	−	0.0387644i
$231$	−11.9959	−	8.99912i	−0.789274	−	0.592098i
$232$	−9.59278	+	0.157394i	−0.629797	+	0.0103334i
$233$	0.502073	−	1.87376i	0.0328919	−	0.122754i	−0.947528	−	0.319673i	$-0.896427\pi$
$233$	0.502073	−	1.87376i	0.0328919	−	0.122754i	0.980420	+	0.196919i	$0.0630936\pi$
$234$	−0.446674	+	0.261155i	−0.0292000	+	0.0170722i
$235$	−1.15339	+	8.76090i	−0.0752391	+	0.571498i
$236$	−6.31859	−	8.05068i	−0.411305	−	0.524054i
$237$	1.34018	−	3.23547i	0.0870539	−	0.210167i
$238$	3.76535	−	6.77523i	0.244071	−	0.439173i
$239$			2.98231i			0.192909i	0.995337	+	0.0964547i	$0.0307503\pi$
$239$			2.98231i			0.192909i	−0.995337	+	0.0964547i	$0.969250\pi$
$240$	6.00195	−	0.131312i	0.387424	−	0.00847616i
$241$	13.0727	+	7.54750i	0.842084	+	0.486177i	0.857972	−	0.513697i	$-0.171724\pi$
$241$	13.0727	+	7.54750i	0.842084	+	0.486177i	−0.0158883	+	0.999874i	$0.505058\pi$
$242$	−18.0584	+	23.8026i	−1.16084	+	1.53009i
$243$	0.991445	−	0.130526i	0.0636012	−	0.00837326i
$244$	−4.00252	+	5.33602i	−0.256235	+	0.341604i
$245$	1.59764	+	10.3837i	0.102069	+	0.663393i
$246$	−2.66372	+	4.67252i	−0.169833	+	0.297909i
$247$	0.473237	−	1.76614i	0.0301113	−	0.112377i
$248$	−1.15889	+	10.0776i	−0.0735898	+	0.639930i
$249$	1.73100	+	6.46019i	0.109698	+	0.409398i
$250$	−11.5640	+	11.6912i	−0.731371	+	0.739414i
$251$	−1.13473	−	2.73949i	−0.0716237	−	0.172915i	0.884013	−	0.467462i	$-0.154831\pi$
$251$	−1.13473	−	2.73949i	−0.0716237	−	0.172915i	−0.955637	+	0.294547i	$0.904831\pi$
$252$	−3.12891	+	4.26731i	−0.197103	+	0.268815i
$253$	5.49198	+	2.27485i	0.345278	+	0.143019i
$254$	−1.03436	+	2.53631i	−0.0649015	+	0.159142i
$255$	1.55458	−	2.69261i	0.0973516	−	0.168618i
$256$	−15.9847	+	0.699769i	−0.999043	+	0.0437356i
$257$	11.2996	+	19.5714i	0.704847	+	1.22083i	0.966747	+	0.255736i	$0.0823179\pi$
$257$	11.2996	+	19.5714i	0.704847	+	1.22083i	−0.261899	+	0.965095i	$0.584349\pi$
$258$	3.70759	+	4.77750i	0.230825	+	0.297434i
$259$	−2.67247	+	10.4263i	−0.166059	+	0.647860i
$260$	0.272622	−	1.06385i	0.0169073	−	0.0659772i
$261$	2.06493	−	2.69107i	0.127816	−	0.166573i
$262$	17.6724	+	4.63186i	1.09180	+	0.286157i
$263$	−8.27989	−	30.9010i	−0.510560	−	1.90543i	−0.414473	−	0.910062i	$-0.636034\pi$
$263$	−8.27989	−	30.9010i	−0.510560	−	1.90543i	−0.0960869	−	0.995373i	$-0.530633\pi$
$264$	12.8771	+	9.54947i	0.792533	+	0.587729i
$265$	−13.9127	−	13.9127i	−0.854648	−	0.854648i
$266$	−2.74350	−	18.4968i	−0.168215	−	1.13411i
$267$	10.9251	−	4.52534i	0.668607	−	0.276946i
$268$	16.9729	+	2.04593i	1.03678	+	0.124975i
$269$	−8.65393	−	11.2780i	−0.527639	−	0.687633i	0.451163	−	0.892442i	$-0.351009\pi$
$269$	−8.65393	−	11.2780i	−0.527639	−	0.687633i	−0.978802	+	0.204809i	$0.934343\pi$
$270$	−1.28288	+	1.69095i	−0.0780735	+	0.102908i
$271$	14.8504	−	8.57390i	0.902099	−	0.520827i	0.0242185	−	0.999707i	$-0.492290\pi$
$271$	14.8504	−	8.57390i	0.902099	−	0.520827i	0.877881	+	0.478879i	$0.158957\pi$
$272$	−3.98525	+	7.26516i	−0.241641	+	0.440515i
$273$	0.597601	+	0.761506i	0.0361685	+	0.0460885i
$274$	−1.96952	+	15.6196i	−0.118983	+	0.943614i
$275$	−15.4395	+	2.03264i	−0.931035	+	0.122573i
$276$	0.781453	−	1.94654i	0.0470379	−	0.117168i
$277$	−0.976461	+	7.41696i	−0.0586699	+	0.445642i	0.936747	+	0.350008i	$0.113821\pi$
$277$	−0.976461	+	7.41696i	−0.0586699	+	0.445642i	−0.995417	+	0.0956339i	$0.969512\pi$
$278$	−0.0822946	−	15.0482i	−0.00493570	−	0.902529i
$279$	−2.53601	−	2.53601i	−0.151827	−	0.151827i
$280$	−1.76925	−	11.0911i	−0.105733	−	0.662819i
$281$	16.8953	−	16.8953i	1.00789	−	1.00789i	0.00791791	−	0.999969i	$-0.497480\pi$
$281$	16.8953	−	16.8953i	1.00789	−	1.00789i	0.999969	−	0.00791791i	$-0.00252037\pi$
$282$	5.91978	+	5.85539i	0.352518	+	0.348683i
$283$	−14.2379	−	1.87446i	−0.846356	−	0.111425i	−0.305139	−	0.952308i	$-0.598703\pi$
$283$	−14.2379	−	1.87446i	−0.846356	−	0.111425i	−0.541217	+	0.840883i	$0.682036\pi$
$284$	−11.4324	+	0.125045i	−0.678388	+	0.00742008i
$285$	−0.979019	−	7.43639i	−0.0579921	−	0.440494i
$286$	2.31690	−	1.79803i	0.137001	−	0.106320i
$287$	9.33759	+	3.74925i	0.551181	+	0.221311i
$288$	3.31969	−	4.58036i	0.195615	−	0.269900i
$289$	−6.35423	−	11.0058i	−0.373778	−	0.647403i
$290$	0.978760	+	7.13278i	0.0574748	+	0.418851i
$291$	3.82006	−	2.93123i	0.223936	−	0.171832i
$292$	21.8924	+	12.3223i	1.28116	+	0.721110i
$293$	−0.599545	−	1.44743i	−0.0350258	−	0.0845598i	0.905399	−	0.424562i	$-0.139572\pi$
$293$	−0.599545	−	1.44743i	−0.0350258	−	0.0845598i	−0.940424	+	0.340003i	$0.889572\pi$
$294$	8.70481	+	4.71448i	0.507675	+	0.274954i
$295$	−5.43054	+	5.43054i	−0.316179	+	0.316179i
$296$	2.79537	−	11.1618i	0.162478	−	0.648768i
$297$	−5.47490	+	1.46700i	−0.317686	+	0.0851237i
$298$	13.1434	−	7.68449i	0.761377	−	0.445151i
$299$	−0.304420	−	0.233590i	−0.0176051	−	0.0135088i
$300$	0.776773	+	5.43974i	0.0448470	+	0.314063i
$301$	7.91241	−	8.08650i	0.456063	−	0.466098i
$302$	2.42378	−	19.2221i	0.139473	−	1.10611i
$303$	14.2931	−	8.25211i	0.821116	−	0.474071i
$304$	3.04213	+	19.7574i	0.174478	+	1.13316i
$305$	4.33495	+	2.50278i	0.248219	+	0.143309i
$306$	−1.13593	−	2.70051i	−0.0649368	−	0.154378i
$307$	12.4805	−	30.1307i	0.712302	−	1.71965i	0.0181346	−	0.999836i	$-0.494227\pi$
$307$	12.4805	−	30.1307i	0.712302	−	1.71965i	0.694167	−	0.719814i	$-0.255773\pi$
$308$	14.4260	−	26.2952i	0.821995	−	1.49831i
$309$	−7.56980	+	3.13552i	−0.430631	+	0.178373i
$310$	7.61222	−	0.0416293i	0.432345	−	0.00236438i
$311$	12.7421	−	3.41423i	0.722537	−	0.193603i	0.121234	−	0.992624i	$-0.461315\pi$
$311$	12.7421	−	3.41423i	0.722537	−	0.193603i	0.601303	+	0.799021i	$0.294648\pi$
$312$	−0.643350	−	0.810543i	−0.0364225	−	0.0458879i
$313$	−26.6291	−	7.13525i	−1.50517	−	0.403308i	−0.590340	−	0.807155i	$-0.701006\pi$
$313$	−26.6291	−	7.13525i	−1.50517	−	0.403308i	−0.914827	+	0.403846i	$0.867673\pi$
$314$	−5.02176	−	18.3397i	−0.283394	−	1.03497i
$315$	3.46027	+	1.94790i	0.194964	+	0.109752i
$316$	6.78487	+	1.73869i	0.381679	+	0.0978091i
$317$	−1.73056	−	13.1449i	−0.0971979	−	0.738291i	−0.968759	−	0.248004i	$-0.920225\pi$
$317$	−1.73056	−	13.1449i	−0.0971979	−	0.738291i	0.871561	−	0.490287i	$-0.163108\pi$
$318$	−18.3676	+	2.52041i	−1.03001	+	0.141337i
$319$	−9.61304	+	16.6503i	−0.538227	+	0.932236i
$320$	1.95688	+	11.8462i	0.109393	+	0.662225i
$321$	4.39893			0.245524
$322$	−3.80653	−	0.953537i	−0.212130	−	0.0531386i
$323$	9.56488	+	3.96190i	0.532204	+	0.220446i
$324$	0.538736	+	1.92607i	0.0299298	+	0.107004i
$325$	0.996609	+	0.131206i	0.0552819	+	0.00727801i
$326$	−7.93871	−	2.08071i	−0.439684	−	0.115240i
$327$	1.40395	+	0.376186i	0.0776384	+	0.0208031i
$328$	−10.0043	−	3.95291i	−0.552395	−	0.218263i
$329$	9.34784	−	12.4608i	0.515363	−	0.686985i
$330$	5.95819	−	10.4515i	0.327987	−	0.575334i
$331$	6.91952	+	5.30953i	0.380331	+	0.291838i	0.781180	−	0.624306i	$-0.214618\pi$
$331$	6.91952	+	5.30953i	0.380331	+	0.291838i	−0.400849	+	0.916144i	$0.631285\pi$
$332$	−12.3012	+	5.25369i	−0.675118	+	0.288334i
$333$	2.47655	+	3.22750i	0.135714	+	0.176866i
$334$	−10.9261	−	25.9752i	−0.597849	−	1.42130i
$335$		−	12.8290i		−	0.700925i
$336$	−9.33353	−	4.98850i	−0.509186	−	0.272145i
$337$		−	13.6353i		−	0.742762i	−0.928481	−	0.371381i	$-0.878884\pi$
$337$		−	13.6353i		−	0.742762i	0.928481	−	0.371381i	$-0.121116\pi$
$338$	16.7721	−	7.05493i	0.912282	−	0.383738i
$339$	−12.0663	−	15.7251i	−0.655351	−	0.854070i
$340$	5.77066	+	2.31667i	0.312958	+	0.125639i
$341$	16.1274	+	12.3750i	0.873350	+	0.670145i
$342$	−6.13996	−	3.50028i	−0.332011	−	0.189273i
$343$	6.52516	−	17.3327i	0.352326	−	0.935877i
$344$	−8.41083	+	8.69143i	−0.453481	+	0.468611i
$345$	−1.52041	−	0.407393i	−0.0818563	−	0.0219333i
$346$	4.37996	−	16.7112i	0.235468	−	0.898402i
$347$	−0.0855938	−	0.0112686i	−0.00459492	−	0.000604932i	0.128228	−	0.991745i	$-0.459071\pi$
$347$	−0.0855938	−	0.0112686i	−0.00459492	−	0.000604932i	−0.132823	+	0.991140i	$0.542404\pi$
$348$	5.91189	+	3.32756i	0.316911	+	0.178376i
$349$	21.0810	+	8.73202i	1.12844	+	0.467414i	0.867250	−	0.497874i	$-0.165886\pi$
$349$	21.0810	+	8.73202i	1.12844	+	0.467414i	0.261188	+	0.965288i	$0.415886\pi$
$350$	9.88494	−	2.82266i	0.528372	−	0.150878i
$351$	0.365869			0.0195286
$352$	−15.2665	+	28.1955i	−0.813705	+	1.50283i
$353$	−4.03227	+	6.98410i	−0.214616	+	0.371726i	−0.953154	−	0.302486i	$-0.902183\pi$
$353$	−4.03227	+	6.98410i	−0.214616	+	0.371726i	0.738538	+	0.674212i	$0.235517\pi$
$354$	0.983793	+	7.16946i	0.0522880	+	0.381052i
$355$	1.11987	+	8.50625i	0.0594365	+	0.451465i
$356$	12.0486	+	20.3514i	0.638574	+	1.07862i
$357$	−4.71654	+	2.79196i	−0.249626	+	0.147766i
$358$	−31.6297	+	8.66083i	−1.67168	+	0.457739i
$359$	−13.2973	−	3.56300i	−0.701804	−	0.188048i	−0.109765	−	0.993958i	$-0.535010\pi$
$359$	−13.2973	−	3.56300i	−0.701804	−	0.188048i	−0.592038	+	0.805910i	$0.701677\pi$
$360$	−3.71063	−	2.06192i	−0.195568	−	0.108673i
$361$	5.77190	−	1.54658i	0.303784	−	0.0813987i
$362$	−0.159881	−	29.2354i	−0.00840316	−	1.53658i
$363$	19.5185	−	8.08481i	1.02445	−	0.424342i
$364$	−1.33876	+	1.39850i	−0.0701702	+	0.0733011i
$365$	7.21442	−	17.4172i	0.377620	−	0.911656i
$366$	4.34767	−	1.82878i	0.227256	−	0.0955919i
$367$	22.2318	+	12.8355i	1.16049	+	0.670008i	0.951421	−	0.307893i	$-0.0996239\pi$
$367$	22.2318	+	12.8355i	1.16049	+	0.670008i	0.209067	+	0.977901i	$0.432957\pi$
$368$	4.07493	+	0.996877i	0.212420	+	0.0519658i
$369$	3.29362	−	1.90157i	0.171459	−	0.0989920i
$370$	−8.56694	−	1.08023i	−0.445374	−	0.0561585i
$371$	9.34108	+	33.4032i	0.484965	+	1.73421i
$372$	4.30410	−	5.73808i	0.223157	−	0.297506i
$373$	−8.55130	−	6.56164i	−0.442769	−	0.339749i	0.363195	−	0.931713i	$-0.381686\pi$
$373$	−8.55130	−	6.56164i	−0.442769	−	0.339749i	−0.805964	+	0.591964i	$0.798353\pi$
$374$	8.38132	+	14.3352i	0.433388	+	0.741258i
$375$	11.2315	−	3.00948i	0.579994	−	0.155409i
$376$	−9.91951	+	13.3761i	−0.511560	+	0.689821i
$377$	0.877543	−	0.877543i	0.0451957	−	0.0451957i
$378$	3.43297	−	1.48820i	0.176573	−	0.0765445i
$379$	9.28169	+	22.4080i	0.476768	+	1.15102i	0.961116	+	0.276145i	$0.0890570\pi$
$379$	9.28169	+	22.4080i	0.476768	+	1.15102i	−0.484348	+	0.874876i	$0.660943\pi$
$380$	14.4466	−	4.04082i	0.741097	−	0.207290i
$381$	1.53661	−	1.17908i	0.0787227	−	0.0604060i
$382$	−4.47051	+	0.613443i	−0.228731	+	0.0313865i
$383$	7.78017	+	13.4756i	0.397548	+	0.688573i	0.993423	−	0.114504i	$-0.0365279\pi$
$383$	7.78017	+	13.4756i	0.397548	+	0.688573i	−0.595875	+	0.803077i	$0.703195\pi$
$384$	10.0073	+	5.27773i	0.510682	+	0.269328i
$385$	−20.8863	−	8.38629i	−1.06446	−	0.427405i
$386$	−19.7415	−	25.4384i	−1.00482	−	1.29478i
$387$	−0.558148	−	4.23956i	−0.0283723	−	0.215509i
$388$	6.88362	+	6.73466i	0.349463	+	0.341901i
$389$	34.9108	+	4.59609i	1.77005	+	0.233031i	0.943855	−	0.330360i	$-0.107170\pi$
$389$	34.9108	+	4.59609i	1.77005	+	0.233031i	0.826191	+	0.563391i	$0.190503\pi$
$390$	−0.546102	+	0.552107i	−0.0276529	+	0.0279570i
$391$	1.53629	−	1.53629i	0.0776935	−	0.0776935i
$392$	−6.87322	+	18.5677i	−0.347150	+	0.937810i
$393$	−9.13463	−	9.13463i	−0.460781	−	0.460781i
$394$	−23.0437	+	0.126020i	−1.16093	+	0.00634881i
$395$	0.686051	−	5.21108i	0.0345190	−	0.262198i
$396$	−4.45241	−	10.4251i	−0.223742	−	0.523880i
$397$	−10.5743	+	1.39213i	−0.530709	+	0.0698692i	−0.391119	−	0.920340i	$-0.627912\pi$
$397$	−10.5743	+	1.39213i	−0.530709	+	0.0698692i	−0.139590	+	0.990209i	$0.544579\pi$
$398$	−12.9503	−	1.63294i	−0.649140	−	0.0818520i
$399$	−4.92672	+	12.2701i	−0.246645	+	0.614275i
$400$	−10.5506	+	3.07589i	−0.527531	+	0.153794i
$401$	−17.1629	+	9.90899i	−0.857073	+	0.494831i	−0.863031	−	0.505151i	$-0.831437\pi$
$401$	−17.1629	+	9.90899i	−0.857073	+	0.494831i	0.00595816	+	0.999982i	$0.498103\pi$
$402$	−9.63056	−	7.30646i	−0.480328	−	0.364413i
$403$	−0.798801	−	1.04102i	−0.0397911	−	0.0518568i
$404$	20.3795	+	25.9660i	1.01392	+	1.29186i
$405$	1.38660	−	0.574349i	0.0689008	−	0.0285396i
$406$	4.66457	−	11.8035i	0.231499	−	0.585798i
$407$	−16.3049	−	16.3049i	−0.808202	−	0.808202i
$408$	5.02563	−	3.01254i	0.248806	−	0.149143i
$409$	−6.66378	−	24.8696i	−0.329503	−	1.22972i	−0.909707	−	0.415250i	$-0.863694\pi$
$409$	−6.66378	−	24.8696i	−0.329503	−	1.22972i	0.580205	−	0.814471i	$-0.302973\pi$
$410$	−2.04658	+	7.80850i	−0.101073	+	0.385634i
$411$	6.77684	−	8.83174i	0.334277	−	0.435638i
$412$	−8.34822	−	14.1011i	−0.411287	−	0.694711i
$413$	13.0383	−	3.64611i	0.641573	−	0.179414i
$414$	−1.17174	+	0.909329i	−0.0575877	+	0.0446911i
$415$	5.01889	+	8.69297i	0.246368	+	0.426721i
$416$	1.42292	−	1.50294i	0.0697642	−	0.0736876i
$417$	−5.32041	+	9.21522i	−0.260542	+	0.451271i
$418$	37.0934	+	15.1275i	1.81430	+	0.739908i
$419$	−14.6266	−	6.05854i	−0.714557	−	0.295979i	−0.00436807	−	0.999990i	$-0.501390\pi$
$419$	−14.6266	−	6.05854i	−0.714557	−	0.295979i	−0.710189	+	0.704011i	$0.751390\pi$
$420$	−2.87837	+	7.40176i	−0.140450	+	0.361169i
$421$	−12.7975	−	30.8958i	−0.623710	−	1.50577i	−0.847316	−	0.531090i	$-0.821783\pi$
$421$	−12.7975	−	30.8958i	−0.623710	−	1.50577i	0.223606	−	0.974680i	$-0.428217\pi$
$422$	20.6801	+	20.4551i	1.00669	+	0.995739i
$423$	−1.52384	−	5.68706i	−0.0740917	−	0.276514i
$424$	−10.1832	−	35.6538i	−0.494538	−	1.73150i
$425$	−1.47311	+	5.49771i	−0.0714562	+	0.266678i
$426$	7.02331	+	4.00386i	0.340280	+	0.193988i
$427$	−4.49490	−	7.59336i	−0.217523	−	0.367468i
$428$	1.24368	+	8.70951i	0.0601157	+	0.420990i
$429$	−2.05601	+	0.270679i	−0.0992653	+	0.0130685i
$430$	7.23073	+	5.48577i	0.348697	+	0.264547i
$431$	25.4954	+	14.7198i	1.22807	+	0.709026i	0.966626	−	0.256193i	$-0.0824681\pi$
$431$	25.4954	+	14.7198i	1.22807	+	0.709026i	0.261444	+	0.965219i	$0.415801\pi$
$432$	−3.66115	+	1.61120i	−0.176147	+	0.0775189i
$433$		−	23.1839i		−	1.11415i	−0.830462	−	0.557075i	$-0.811924\pi$
$433$		−	23.1839i		−	1.11415i	0.830462	−	0.557075i	$-0.188076\pi$
$434$	−11.7296	−	6.51876i	−0.563039	−	0.312910i
$435$	1.94820	−	4.70338i	0.0934091	−	0.225510i
$436$	−0.347888	+	2.88605i	−0.0166608	+	0.138217i
$437$	0.684126	−	5.19645i	0.0327262	−	0.248580i
$438$	−8.96599	−	15.3353i	−0.428412	−	0.732747i
$439$	5.26059	−	19.6328i	0.251074	−	0.937022i	−0.719158	−	0.694847i	$-0.755472\pi$
$439$	5.26059	−	19.6328i	0.251074	−	0.937022i	0.970232	−	0.242176i	$-0.0778611\pi$
$440$	22.3775	+	8.84183i	1.06681	+	0.421518i
$441$	−3.63109	−	5.98458i	−0.172909	−	0.284980i
$442$	−0.283081	−	1.03383i	−0.0134648	−	0.0491741i
$443$	5.90455	−	7.69495i	0.280533	−	0.365598i	−0.631740	−	0.775181i	$-0.717659\pi$
$443$	5.90455	−	7.69495i	0.280533	−	0.365598i	0.912273	+	0.409582i	$0.134326\pi$
$444$	−5.69000	+	5.81585i	−0.270035	+	0.276008i
$445$	14.0804	−	10.8043i	0.667474	−	0.512171i
$446$	−15.0908	+	37.0035i	−0.714570	+	1.75216i
$447$	−10.7657			−0.509200
$448$	7.23800	−	19.8900i	0.341963	−	0.939713i
$449$	−4.28279			−0.202117			−0.101059	−	0.994880i	$-0.532223\pi$
$449$	−4.28279			−0.202117			−0.101059	+	0.994880i	$0.532223\pi$
$450$	1.46726	−	3.59781i	0.0691673	−	0.169602i
$451$	−17.1018	+	13.1227i	−0.805293	+	0.617923i
$452$	27.7229	−	28.3361i	1.30398	−	1.33282i
$453$	−8.33987	+	10.8687i	−0.391841	+	0.510658i
$454$	4.79929	+	17.5272i	0.225242	+	0.822593i
$455$	1.16215	+	0.871824i	0.0544825	+	0.0408717i
$456$	5.19434	−	13.1462i	0.243247	−	0.615628i
$457$	−6.60488	+	24.6497i	−0.308963	+	1.15307i	0.620517	+	0.784193i	$0.286923\pi$
$457$	−6.60488	+	24.6497i	−0.308963	+	1.15307i	−0.929480	+	0.368873i	$0.879744\pi$
$458$	5.61147	+	9.59775i	0.262207	+	0.448473i
$459$	−0.270399	+	2.05388i	−0.0126211	+	0.0958670i
$460$	0.376747	−	3.12547i	0.0175659	−	0.145726i
$461$	2.85997	−	6.90457i	0.133202	−	0.321578i	−0.843179	−	0.537632i	$-0.819319\pi$
$461$	2.85997	−	6.90457i	0.133202	−	0.321578i	0.976381	+	0.216054i	$0.0693189\pi$
$462$	−18.1907	+	10.9028i	−0.846308	+	0.507244i
$463$			35.6811i			1.65824i	0.559069	+	0.829121i	$0.311159\pi$
$463$			35.6811i			1.65824i	−0.559069	+	0.829121i	$0.688841\pi$
$464$	−4.91685	+	12.6458i	−0.228259	+	0.587068i
$465$	−4.66158	−	2.69137i	−0.216176	−	0.124809i
$466$	−2.18557	−	1.65814i	−0.101245	−	0.0768117i
$467$	−9.26991	+	1.22041i	−0.428960	+	0.0564737i	−0.341915	−	0.939731i	$-0.611076\pi$
$467$	−9.26991	+	1.22041i	−0.428960	+	0.0564737i	−0.0870447	+	0.996204i	$0.527742\pi$
$468$	0.103440	+	0.724389i	0.00478151	+	0.0334849i
$469$	−11.0940	+	19.7075i	−0.512272	+	0.910008i
$470$	10.8565	+	6.18907i	0.500771	+	0.285480i
$471$	−3.47995	+	12.9873i	−0.160348	+	0.598425i
$472$	−13.9168	+	3.97481i	−0.640572	+	0.182955i
$473$	6.27308	+	23.4115i	0.288436	+	1.07646i
$474$	−3.52115	−	3.48285i	−0.161732	−	0.159973i
$475$	5.25446	+	12.6854i	0.241091	+	0.582046i
$476$	−6.86133	−	8.54900i	−0.314489	−	0.391843i
$477$	12.1117	+	5.01682i	0.554556	+	0.229704i
$478$	3.90534	+	1.59268i	0.178626	+	0.0728474i
$479$	17.6545	−	30.5785i	0.806654	−	1.39717i	−0.108514	−	0.994095i	$-0.534609\pi$
$479$	17.6545	−	30.5785i	0.806654	−	1.39717i	0.915169	−	0.403071i	$-0.132057\pi$
$480$	3.03335	−	7.92970i	0.138453	−	0.361940i
$481$	0.744209	+	1.28901i	0.0339330	+	0.0587737i
$482$	16.8648	−	13.0880i	0.768172	−	0.596142i
$483$	1.98331	+	1.94061i	0.0902436	+	0.0883007i
$484$	21.5256	+	36.3591i	0.978435	+	1.65269i
$485$	4.39933	−	5.73332i	0.199763	−	0.260337i
$486$	0.358550	−	1.36801i	0.0162641	−	0.0620540i
$487$	4.20715	+	15.7013i	0.190644	+	0.711494i	0.993352	+	0.115121i	$0.0367255\pi$
$487$	4.20715	+	15.7013i	0.190644	+	0.711494i	−0.802707	+	0.596373i	$0.796608\pi$
$488$	4.85002	+	8.09097i	0.219550	+	0.366261i
$489$	4.10343	+	4.10343i	0.185563	+	0.185563i
$490$	14.4507	+	3.45325i	0.652818	+	0.156002i
$491$	−27.2272	+	11.2779i	−1.22875	+	0.508963i	−0.900180	−	0.435518i	$-0.856565\pi$
$491$	−27.2272	+	11.2779i	−1.22875	+	0.508963i	−0.328565	+	0.944481i	$0.606565\pi$
$492$	4.69614	+	5.98348i	0.211718	+	0.269756i
$493$	4.27772	+	5.57483i	0.192659	+	0.251078i
$494$	−2.06004	−	1.56290i	−0.0926857	−	0.0703183i
$495$	−7.36715	+	4.25343i	−0.331129	+	0.191177i
$496$	12.5778	+	6.89946i	0.564760	+	0.309795i
$497$	5.63553	−	14.0354i	0.252788	−	0.629574i
$498$	9.38407	+	1.18326i	0.420510	+	0.0530234i
$499$	7.67722	−	1.01072i	0.343679	−	0.0452463i	0.0432890	−	0.999063i	$-0.486216\pi$
$499$	7.67722	−	1.01072i	0.343679	−	0.0452463i	0.300390	+	0.953816i	$0.402883\pi$
$500$	9.13395	+	21.3867i	0.408483	+	0.956440i
$501$	−2.60087	+	19.7555i	−0.116198	+	0.882613i
$502$	−4.19336	+	0.0229324i	−0.187159	+	0.00102352i
$503$	−0.283525	−	0.283525i	−0.0126418	−	0.0126418i	0.700758	−	0.713399i	$-0.252845\pi$
$503$	−0.283525	−	0.283525i	−0.0126418	−	0.0126418i	−0.713399	+	0.700758i	$0.752845\pi$
$504$	3.91709	+	6.37624i	0.174481	+	0.284020i
$505$	17.5153	−	17.5153i	0.779418	−	0.779418i
$506$	5.91188	−	5.97690i	0.262815	−	0.265706i
$507$	−12.7561	−	1.67937i	−0.566517	−	0.0745834i
$508$	2.76891	+	2.70900i	0.122851	+	0.120192i
$509$	2.87472	+	21.8357i	0.127420	+	0.967850i	0.929030	+	0.370003i	$0.120643\pi$
$509$	2.87472	+	21.8357i	0.127420	+	0.967850i	−0.801611	+	0.597846i	$0.796023\pi$
$510$	−2.69577	−	3.47370i	−0.119371	−	0.153818i
$511$	−26.1441	+	20.5169i	−1.15655	+	0.907614i
$512$	−7.62016	+	21.3057i	−0.336767	+	0.941588i
$513$	2.49878	+	4.32801i	0.110324	+	0.191086i
$514$	31.6633	−	4.34484i	1.39661	−	0.191643i
$515$	−9.75601	+	7.48605i	−0.429901	+	0.329875i
$516$	8.23617	−	2.30371i	0.362577	−	0.101415i
$517$	12.7707	+	30.8313i	0.561656	+	1.35596i
$518$	12.2261	+	9.06772i	0.537183	+	0.398413i
$519$	−8.63785	+	8.63785i	−0.379160	+	0.379160i
$520$	−1.24752	−	0.925141i	−0.0547075	−	0.0405701i
$521$	−28.0659	+	7.52023i	−1.22959	+	0.329467i	−0.814420	−	0.580277i	$-0.802944\pi$
$521$	−28.0659	+	7.52023i	−1.22959	+	0.329467i	−0.415170	+	0.909744i	$0.636278\pi$
$522$	−2.42120	−	4.14118i	−0.105973	−	0.181254i
$523$	−34.7735	−	26.6826i	−1.52054	−	1.16675i	−0.934235	−	0.356657i	$-0.883916\pi$
$523$	−34.7735	−	26.6826i	−1.52054	−	1.16675i	−0.586302	−	0.810092i	$-0.699417\pi$
$524$	15.5032	−	20.6684i	0.677262	−	0.902903i
$525$	−7.04146	−	1.80487i	−0.307315	−	0.0787709i
$526$	−44.8867	−	5.65990i	−1.95715	−	0.246783i
$527$	6.43434	−	3.71487i	0.280284	−	0.161822i
$528$	19.3820	−	11.7628i	0.843493	−	0.511911i
$529$	18.9660	+	10.9500i	0.824610	+	0.476089i
$530$	−25.6486	+	10.7887i	−1.11411	+	0.468632i
$531$	1.95822	−	4.72756i	0.0849796	−	0.205159i
$532$	−25.6867	−	6.28544i	−1.11366	−	0.272508i
$533$	1.28553	−	0.532486i	0.0556827	−	0.0230645i
$534$	−0.0914550	−	16.7232i	−0.00395764	−	0.723684i
$535$	6.37716	−	1.70875i	0.275709	−	0.0738759i
$536$	11.7434	−	21.1334i	0.507237	−	0.912824i
$537$	22.3988	+	6.00173i	0.966578	+	0.258994i
$538$	−19.3902	+	5.30940i	−0.835969	+	0.228904i
$539$	24.8326	+	30.9442i	1.06962	+	1.33286i
$540$	1.52919	+	2.58297i	0.0658058	+	0.111153i
$541$	4.96364	+	37.7026i	0.213403	+	1.62096i	0.677740	+	0.735302i	$0.262959\pi$
$541$	4.96364	+	37.7026i	0.213403	+	1.62096i	−0.464337	+	0.885659i	$0.653707\pi$
$542$	−3.29678	−	24.0255i	−0.141609	−	1.03198i
$543$	−10.3364	+	17.9032i	−0.443579	+	0.768302i
$544$	7.38545	+	9.09860i	0.316649	+	0.390099i
$545$	2.18144			0.0934426
$546$	1.31634	−	0.375883i	0.0563341	−	0.0160863i
$547$	13.1643	+	5.45282i	0.562864	+	0.233146i	0.645928	−	0.763398i	$-0.276471\pi$
$547$	13.1643	+	5.45282i	0.562864	+	0.233146i	−0.0830641	+	0.996544i	$0.526471\pi$
$548$	19.4021	+	10.9206i	0.828816	+	0.466506i
$549$	−3.30663	−	0.435326i	−0.141124	−	0.0185793i
$550$	−5.58358	+	21.3036i	−0.238085	+	0.908386i
$551$	16.3742	+	4.38744i	0.697563	+	0.186911i
$552$	−2.13167	−	2.06285i	−0.0907301	−	0.0878008i
$553$	−5.56019	+	7.41180i	−0.236444	+	0.315182i
$554$	9.19106	+	5.23965i	0.390491	+	0.222612i
$555$	4.84398	+	3.71692i	0.205616	+	0.157774i
$556$	−19.7496	−	7.92860i	−0.837568	−	0.336248i
$557$	−12.0276	−	15.6746i	−0.509624	−	0.664155i	0.465697	−	0.884944i	$-0.345804\pi$
$557$	−12.0276	−	15.6746i	−0.509624	−	0.664155i	−0.975322	+	0.220789i	$0.929137\pi$
$558$	−4.67525	+	1.96658i	−0.197919	+	0.0832518i
$559$		−	1.56451i		−	0.0661715i
$560$	−15.4687	−	3.60628i	−0.653670	−	0.152393i
$561$		−	11.7419i		−	0.495745i
$562$	−13.1016	−	31.1472i	−0.552658	−	1.31386i
$563$	−14.2776	−	18.6070i	−0.601730	−	0.784190i	0.388824	−	0.921312i	$-0.372881\pi$
$563$	−14.2776	−	18.6070i	−0.601730	−	0.784190i	−0.990554	+	0.137122i	$0.956215\pi$
$564$	10.8291	−	4.62495i	0.455986	−	0.194745i
$565$	−23.6010	−	18.1097i	−0.992900	−	0.761879i
$566$	−10.0583	+	17.6435i	−0.422780	+	0.741614i
$567$	−2.62672	−	0.316777i	−0.110312	−	0.0133034i
$568$	−5.94165	+	15.0375i	−0.249306	+	0.630961i
$569$	−26.8098	−	7.18365i	−1.12392	−	0.301154i	−0.351453	−	0.936205i	$-0.614312\pi$
$569$	−26.8098	−	7.18365i	−1.12392	−	0.301154i	−0.772470	+	0.635051i	$0.780979\pi$
$570$	−10.2608	−	2.68932i	−0.429778	−	0.112643i
$571$	43.1459	+	5.68027i	1.80560	+	0.237712i	0.956748	−	0.290918i	$-0.0939605\pi$
$571$	43.1459	+	5.68027i	1.80560	+	0.237712i	0.848853	+	0.528629i	$0.177294\pi$
$572$	−1.11721	−	3.99421i	−0.0467128	−	0.167006i
$573$	2.94787	+	1.22105i	0.123149	+	0.0510100i
$574$	9.89633	−	10.2253i	0.413065	−	0.426798i
$575$	2.88146			0.120165
$576$	−4.22514	−	6.79325i	−0.176047	−	0.283052i
$577$	−6.86886	+	11.8972i	−0.285955	+	0.495288i	−0.972840	−	0.231478i	$-0.925644\pi$
$577$	−6.86886	+	11.8972i	−0.285955	+	0.495288i	0.686886	+	0.726766i	$0.258977\pi$
$578$	−17.8056	+	2.44329i	−0.740616	+	0.101627i
$579$	2.97193	+	22.5740i	0.123509	+	0.938145i
$580$	9.86309	+	2.52752i	0.409543	+	0.104950i
$581$	−0.192542	−	17.6939i	−0.00798800	−	0.734069i
$582$	−1.79838	−	6.56778i	−0.0745454	−	0.272243i
$583$	−71.7737	−	19.2317i	−2.97256	−	0.796496i
$584$	27.8276	−	22.0876i	1.15152	−	0.913990i
$585$	0.530402	−	0.142121i	0.0219294	−	0.00587597i
$586$	−2.21560	+	0.0121165i	−0.0915255	+	0.000500529i
$587$	−34.9974	+	14.4964i	−1.44450	+	0.598330i	−0.960884	−	0.276951i	$-0.910676\pi$
$587$	−34.9974	+	14.4964i	−1.44450	+	0.598330i	−0.483614	+	0.875282i	$0.660676\pi$
$588$	10.8224	−	8.88124i	0.446307	−	0.366256i
$589$	6.85904	−	16.5592i	0.282622	−	0.682309i
$590$	4.21117	+	10.0115i	0.173371	+	0.412165i
$591$	14.1116	+	8.14731i	0.580472	+	0.335136i
$592$	−13.1236	−	9.62144i	−0.539376	−	0.395439i
$593$	7.31744	−	4.22473i	0.300491	−	0.173489i	−0.342172	−	0.939637i	$-0.611163\pi$
$593$	7.31744	−	4.22473i	0.300491	−	0.173489i	0.642664	+	0.766149i	$0.277829\pi$
$594$	−1.00280	+	7.95284i	−0.0411453	+	0.326309i
$595$	−5.75307	+	5.87966i	−0.235853	+	0.241042i
$596$	−3.04372	−	21.3152i	−0.124676	−	0.873104i
$597$	7.32246	+	5.61872i	0.299688	+	0.229959i
$598$	−0.468460	+	0.273892i	−0.0191567	+	0.0112003i
$599$	−17.2021	+	4.60928i	−0.702858	+	0.188330i	−0.592510	−	0.805563i	$-0.701863\pi$
$599$	−17.2021	+	4.60928i	−0.702858	+	0.188330i	−0.110348	+	0.993893i	$0.535196\pi$
$600$	7.53818	+	1.88787i	0.307745	+	0.0770719i
$601$	21.2008	−	21.2008i	0.864799	−	0.864799i	−0.127092	−	0.991891i	$-0.540564\pi$
$601$	21.2008	−	21.2008i	0.864799	−	0.864799i	0.991891	+	0.127092i	$0.0405644\pi$
$602$	−6.36374	−	14.6799i	−0.259367	−	0.598306i
$603$	3.27113	+	7.89720i	0.133211	+	0.321599i
$604$	−23.8771	−	13.4394i	−0.971544	−	0.546841i
$605$	25.1555	−	19.3025i	1.02272	−	0.784758i
$606$	−3.17305	−	23.1238i	−0.128896	−	0.939340i
$607$	18.4149	+	31.8955i	0.747437	+	1.29460i	0.949048	+	0.315133i	$0.102049\pi$
$607$	18.4149	+	31.8955i	0.747437	+	1.29460i	−0.201611	+	0.979466i	$0.564618\pi$
$608$	27.4970	+	6.56761i	1.11515	+	0.266352i
$609$	−7.06003	+	5.54044i	−0.286087	+	0.224510i
$610$	5.59245	−	4.34004i	0.226432	−	0.175723i
$611$	−0.281168	−	2.13569i	−0.0113749	−	0.0864006i
$612$	−4.14296	+	0.0453149i	−0.167469	+	0.00183175i
$613$	−37.9061	−	4.99043i	−1.53101	−	0.201561i	−0.682558	−	0.730832i	$-0.739132\pi$
$613$	−37.9061	−	4.99043i	−1.53101	−	0.201561i	−0.848453	+	0.529270i	$0.822466\pi$
$614$	−32.7911	−	32.4344i	−1.32334	−	1.30895i
$615$	4.03612	−	4.03612i	0.162752	−	0.162752i
$616$	−26.7295	−	32.9336i	−1.07696	−	1.32693i
$617$	7.90750	+	7.90750i	0.318344	+	0.318344i	0.848131	−	0.529787i	$-0.177728\pi$
$617$	7.90750	+	7.90750i	0.318344	+	0.318344i	−0.529787	+	0.848131i	$0.677728\pi$
$618$	0.0633673	+	11.5872i	0.00254901	+	0.466105i
$619$	−4.09459	+	31.1015i	−0.164576	+	1.25008i	0.687316	+	0.726358i	$0.258789\pi$
$619$	−4.09459	+	31.1015i	−0.164576	+	1.25008i	−0.851892	+	0.523718i	$0.824545\pi$
$620$	4.01074	−	9.99045i	0.161075	−	0.401226i
$621$	1.03980	−	0.136892i	0.0417257	−	0.00549330i
$622$	2.33387	−	18.5091i	0.0935797	−	0.742149i
$623$	−30.9728	+	4.42102i	−1.24090	+	0.177124i
$624$	−1.40498	+	0.409604i	−0.0562444	+	0.0163973i
$625$	3.21657	−	1.85709i	0.128663	−	0.0742834i
$626$	−23.5647	+	31.0604i	−0.941836	+	1.24142i
$627$	−17.2440	−	22.4728i	−0.688657	−	0.897475i
$628$	−26.6977	−	3.21817i	−1.06536	−	0.128419i
$629$	−7.78613	+	3.22512i	−0.310453	+	0.128594i
$630$	4.39871	−	3.49098i	0.175249	−	0.139084i
$631$	−10.5872	−	10.5872i	−0.421470	−	0.421470i	0.464240	−	0.885710i	$-0.346328\pi$
$631$	−10.5872	−	10.5872i	−0.421470	−	0.421470i	−0.885710	+	0.464240i	$0.846328\pi$
$632$	5.90023	−	7.95627i	0.234699	−	0.316483i
$633$	−5.32336	−	19.8671i	−0.211585	−	0.789645i
$634$	−18.1375	−	4.75377i	−0.720332	−	0.188796i
$635$	1.76962	−	2.30621i	0.0702251	−	0.0915191i
$636$	−6.50862	+	25.3985i	−0.258084	+	1.00712i
$637$	−1.03134	−	2.34424i	−0.0408632	−	0.0928822i
$638$	16.6698	+	21.4803i	0.659964	+	0.850411i
$639$	−2.85827	−	4.95067i	−0.113071	−	0.195846i
$640$	16.5577	+	3.76385i	0.654502	+	0.148779i
$641$	8.34411	−	14.4524i	0.329573	−	0.570837i	−0.652854	−	0.757483i	$-0.726429\pi$
$641$	8.34411	−	14.4524i	0.329573	−	0.570837i	0.982427	+	0.186647i	$0.0597620\pi$
$642$	2.34922	−	5.76041i	0.0927162	−	0.227345i
$643$	−25.1341	−	10.4109i	−0.991192	−	0.410565i	−0.172632	−	0.984986i	$-0.555227\pi$
$643$	−25.1341	−	10.4109i	−0.991192	−	0.410565i	−0.818560	+	0.574421i	$0.805227\pi$
$644$	−3.28151	+	4.47544i	−0.129310	+	0.176357i
$645$	−2.45600	−	5.92930i	−0.0967048	−	0.233466i
$646$	10.2962	−	10.4094i	0.405098	−	0.409553i
$647$	2.39113	+	8.92380i	0.0940049	+	0.350831i	0.996867	−	0.0790999i	$-0.0252046\pi$
$647$	2.39113	+	8.92380i	0.0940049	+	0.350831i	−0.902862	+	0.429931i	$0.858538\pi$
$648$	2.80991	+	0.323130i	0.110384	+	0.0126937i
$649$	−7.50673	+	28.0155i	−0.294665	+	1.09970i
$650$	0.704047	−	1.23499i	0.0276150	−	0.0484404i
$651$	4.83358	+	8.16551i	0.189443	+	0.320031i
$652$	−6.96430	+	9.28458i	−0.272743	+	0.363612i
$653$	17.7214	−	2.33307i	0.693493	−	0.0913001i	0.224463	−	0.974483i	$-0.427937\pi$
$653$	17.7214	−	2.33307i	0.693493	−	0.0913001i	0.469030	+	0.883182i	$0.344604\pi$
$654$	1.24238	−	1.63757i	0.0485811	−	0.0640341i
$655$	−16.7909	−	9.69421i	−0.656073	−	0.378784i
$656$	−10.5191	+	10.9896i	−0.410701	+	0.429073i
$657$			12.5610i			0.490053i
$658$	−11.3253	−	18.8956i	−0.441505	−	0.736628i
$659$	−5.43182	+	13.1136i	−0.211594	+	0.510833i	−0.993668	−	0.112352i	$-0.964162\pi$
$659$	−5.43182	+	13.1136i	−0.211594	+	0.510833i	0.782075	+	0.623185i	$0.214162\pi$
$660$	−10.5043	−	13.3838i	−0.408879	−	0.520963i
$661$	1.35900	−	10.3226i	0.0528589	−	0.401504i	−0.944478	−	0.328574i	$-0.893432\pi$
$661$	1.35900	−	10.3226i	0.0528589	−	0.401504i	0.997337	−	0.0729294i	$-0.0232348\pi$
$662$	10.6482	−	6.22561i	0.413853	−	0.241965i
$663$	−0.196168	+	0.732109i	−0.00761854	+	0.0284328i
$664$	0.310335	+	18.9142i	0.0120434	+	0.734013i
$665$	−2.37600	+	19.7019i	−0.0921374	+	0.764005i
$666$	5.54900	−	1.51942i	0.215019	−	0.0588765i
$667$	2.16564	−	2.82232i	0.0838540	−	0.109281i
$668$	−39.8496	+	0.435868i	−1.54183	+	0.0168642i
$669$	22.4183	−	17.2022i	0.866741	−	0.665074i
$670$	−16.7997	−	6.85125i	−0.649027	−	0.264687i
$671$	18.9038			0.729774
$672$	−11.5170	+	9.55822i	−0.444277	+	0.368716i
$673$	6.47490			0.249589			0.124794	−	0.992183i	$-0.460173\pi$
$673$	6.47490			0.249589			0.124794	+	0.992183i	$0.460173\pi$
$674$	−17.8555	−	7.28184i	−0.687767	−	0.280486i
$675$	−2.17971	+	1.67255i	−0.0838969	+	0.0643764i
$676$	−0.281438	−	25.7307i	−0.0108245	−	0.989644i
$677$	3.95050	−	5.14840i	0.151830	−	0.197869i	−0.711245	−	0.702944i	$-0.751868\pi$
$677$	3.95050	−	5.14840i	0.151830	−	0.197869i	0.863076	+	0.505075i	$0.168535\pi$
$678$	−27.0360	+	7.40297i	−1.03831	+	0.284309i
$679$	−11.7160	+	5.00298i	−0.449620	+	0.191997i
$680$	6.11547	−	6.31950i	0.234518	−	0.242342i
$681$	3.32578	−	12.4120i	0.127444	−	0.475628i
$682$	24.8179	−	14.5101i	0.950326	−	0.555622i
$683$	4.55025	−	34.5626i	0.174110	−	1.32250i	−0.651668	−	0.758504i	$-0.725930\pi$
$683$	4.55025	−	34.5626i	0.174110	−	1.32250i	0.825778	−	0.563995i	$-0.190736\pi$
$684$	−7.86262	+	6.17100i	−0.300635	+	0.235954i
$685$	6.39375	−	15.4359i	0.244293	−	0.589775i
$686$	−19.2125	−	17.8011i	−0.733537	−	0.679650i
$687$		−	7.86147i		−	0.299934i
$688$	6.88972	+	15.6556i	0.262668	+	0.596864i
$689$	4.15379	+	2.39819i	0.158247	+	0.0913639i
$690$	−1.34545	+	1.77342i	−0.0512203	+	0.0675129i
$691$	31.3432	−	4.12641i	1.19235	−	0.156976i	0.491884	−	0.870661i	$-0.336308\pi$
$691$	31.3432	−	4.12641i	1.19235	−	0.156976i	0.700467	+	0.713685i	$0.252975\pi$
$692$	−19.5443	−	14.6601i	−0.742964	−	0.557293i
$693$	14.9953	−	0.163176i	0.569625	−	0.00619856i
$694$	−0.0604671	+	0.106067i	−0.00229530	+	0.00402627i
$695$	−4.13340	+	15.4261i	−0.156789	+	0.585144i
$696$	7.51465	−	5.96458i	0.284842	−	0.226087i
$697$	2.03914	+	7.61016i	0.0772378	+	0.288255i
$698$	22.6927	−	22.9423i	0.858933	−	0.868379i
$699$	0.742353	+	1.79220i	0.0280784	+	0.0677872i
$700$	1.58270	−	14.4518i	0.0598203	−	0.546226i
$701$	−45.8271	−	18.9822i	−1.73086	−	0.716947i	−0.999384	−	0.0350844i	$-0.988830\pi$
$701$	−45.8271	−	18.9822i	−1.73086	−	0.716947i	−0.731480	−	0.681863i	$-0.761170\pi$
$702$	0.195390	−	0.479106i	0.00737450	−	0.0180827i
$703$	−10.1655	+	17.6071i	−0.383397	+	0.664064i
$704$	28.7692	+	35.0491i	1.08428	+	1.32096i
$705$	−4.41825	−	7.65263i	−0.166401	−	0.288215i
$706$	6.99230	+	9.01009i	0.263159	+	0.339099i
$707$	−42.0527	+	11.7599i	−1.58155	+	0.442276i
$708$	9.91381	+	2.54052i	0.372584	+	0.0954785i
$709$	−2.59080	+	3.37639i	−0.0972994	+	0.126803i	−0.839466	−	0.543413i	$-0.817132\pi$
$709$	−2.59080	+	3.37639i	−0.0972994	+	0.126803i	0.742166	+	0.670216i	$0.233798\pi$
$710$	11.7370	+	3.07623i	0.440483	+	0.115449i
$711$	0.906398	+	3.38272i	0.0339926	+	0.126862i
$712$	33.0847	−	4.90913i	1.23990	−	0.183977i
$713$	−2.65970	−	2.65970i	−0.0996066	−	0.0996066i
$714$	1.13725	+	7.66735i	0.0425604	+	0.286944i
$715$	−2.87547	+	1.19106i	−0.107537	+	0.0445431i
$716$	−5.55025	+	46.0445i	−0.207423	+	1.72076i
$717$	−1.81551	−	2.36602i	−0.0678016	−	0.0883607i
$718$	−11.7671	+	15.5100i	−0.439143	+	0.578830i
$719$	34.9046	−	20.1522i	1.30172	−	0.751549i	0.321022	−	0.947072i	$-0.395974\pi$
$719$	34.9046	−	20.1522i	1.30172	−	0.751549i	0.980699	+	0.195522i	$0.0626402\pi$
$720$	−4.68173	+	3.75793i	−0.174478	+	0.140050i
$721$	21.4604	−	3.06324i	0.799228	−	0.114081i
$722$	1.05720	−	8.38426i	0.0393448	−	0.312030i
$723$	−14.9659	+	1.97029i	−0.556586	+	0.0732760i
$724$	−38.3693	−	15.4036i	−1.42598	−	0.572471i
$725$	−1.21643	+	9.23970i	−0.0451771	+	0.343154i
$726$	−0.163390	−	29.8771i	−0.00606398	−	1.10884i
$727$	11.2147	+	11.2147i	0.415931	+	0.415931i	0.883799	−	0.467868i	$-0.154978\pi$
$727$	11.2147	+	11.2147i	0.415931	+	0.415931i	−0.467868	+	0.883799i	$0.654978\pi$
$728$	1.11638	+	2.49997i	0.0413757	+	0.0926551i
$729$	−0.707107	+	0.707107i	−0.0261891	+	0.0261891i
$730$	−18.9550	−	18.7488i	−0.701556	−	0.693925i
$731$	8.78269	+	1.15626i	0.324839	+	0.0427659i
$732$	−0.0729544	−	6.66993i	−0.00269647	−	0.246528i
$733$	1.62839	+	12.3688i	0.0601458	+	0.456853i	0.994845	+	0.101412i	$0.0323360\pi$
$733$	1.62839	+	12.3688i	0.0601458	+	0.456853i	−0.934699	+	0.355441i	$0.884331\pi$
$734$	28.6809	−	22.2578i	1.05863	−	0.821552i
$735$	−7.58871	−	7.26539i	−0.279914	−	0.267988i
$736$	3.48160	−	4.80375i	0.128333	−	0.177069i
$737$	−24.2248	−	41.9586i	−0.892332	−	1.54556i
$738$	−0.731181	−	5.32853i	−0.0269152	−	0.196146i
$739$	−27.1517	+	20.8342i	−0.998790	+	0.766398i	−0.972416	−	0.233254i	$-0.925063\pi$
$739$	−27.1517	+	20.8342i	−0.998790	+	0.766398i	−0.0263738	+	0.999652i	$0.508396\pi$
$740$	−5.98968	+	10.6415i	−0.220185	+	0.391191i
$741$	0.699716	+	1.68926i	0.0257047	+	0.0620567i
$742$	48.7301	+	5.60656i	1.78894	+	0.205823i
$743$	28.1570	−	28.1570i	1.03298	−	1.03298i	0.0335445	−	0.999437i	$-0.489320\pi$
$743$	28.1570	−	28.1570i	1.03298	−	1.03298i	0.999437	−	0.0335445i	$-0.0106796\pi$
$744$	−5.21546	−	8.70061i	−0.191208	−	0.318980i
$745$	−15.6071	+	4.18191i	−0.571800	+	0.153213i
$746$	−13.1592	+	7.69375i	−0.481794	+	0.281688i
$747$	−5.30601	−	4.07144i	−0.194137	−	0.148966i
$748$	23.2480	−	3.31972i	0.850032	−	0.121381i
$749$	−11.2740	−	2.88976i	−0.411944	−	0.105589i
$750$	2.05720	−	16.3149i	0.0751183	−	0.595737i
$751$	−9.62823	+	5.55886i	−0.351339	+	0.202846i	−0.665275	−	0.746598i	$-0.731686\pi$
$751$	−9.62823	+	5.55886i	−0.351339	+	0.202846i	0.313936	+	0.949444i	$0.398352\pi$
$752$	12.2186	+	20.1331i	0.445568	+	0.734177i
$753$	2.56794	+	1.48260i	0.0935808	+	0.0540289i
$754$	−0.680499	−	1.61779i	−0.0247823	−	0.0589164i
$755$	−7.86843	+	18.9961i	−0.286362	+	0.691338i
$756$	−0.115445	−	5.29024i	−0.00419869	−	0.192404i
$757$	−38.8452	+	16.0902i	−1.41185	+	0.584808i	−0.952799	−	0.303601i	$-0.901811\pi$
$757$	−38.8452	+	16.0902i	−1.41185	+	0.584808i	−0.459052	+	0.888409i	$0.651811\pi$
$758$	34.3001	−	0.187579i	1.24584	−	0.00681316i
$759$	−5.74193	+	1.53854i	−0.208419	+	0.0558456i
$760$	2.42365	−	21.0759i	0.0879152	−	0.764503i
$761$	25.3751	+	6.79923i	0.919846	+	0.246472i	0.687519	−	0.726166i	$-0.258700\pi$
$761$	25.3751	+	6.79923i	0.919846	+	0.246472i	0.232326	+	0.972638i	$0.425366\pi$
$762$	−0.723394	−	2.64187i	−0.0262058	−	0.0957048i
$763$	−3.35105	−	1.88641i	−0.121316	−	0.0682927i
$764$	−1.58414	+	6.18175i	−0.0573121	+	0.223648i
$765$	0.405827	+	3.08256i	0.0146727	+	0.111450i
$766$	21.8013	−	2.99158i	0.787714	−	0.108090i
$767$	0.936089	−	1.62135i	0.0338002	−	0.0585437i
$768$	12.2555	−	10.2860i	0.442233	−	0.371165i
$769$	28.3551			1.02251			0.511256	−	0.859428i	$-0.329180\pi$
$769$	28.3551			1.02251			0.511256	+	0.859428i	$0.329180\pi$
$770$	−22.1360	+	22.8720i	−0.797727	+	0.824249i
$771$	−20.8789	−	8.64831i	−0.751934	−	0.311461i
$772$	−43.8545	+	12.2664i	−1.57836	+	0.441477i
$773$	−49.4813	−	6.51434i	−1.77972	−	0.234305i	−0.832306	−	0.554316i	$-0.812980\pi$
$773$	−49.4813	−	6.51434i	−1.77972	−	0.234305i	−0.947414	+	0.320011i	$0.896313\pi$
$774$	−5.84979	−	1.53321i	−0.210266	−	0.0551100i
$775$	9.51791	+	2.55032i	0.341893	+	0.0916100i
$776$	12.4952	−	5.41752i	0.448552	−	0.194478i
$777$	−4.22693	−	9.89866i	−0.151640	−	0.355112i
$778$	24.6624	−	43.2612i	0.884191	−	1.55099i
$779$	15.0788	+	11.5704i	0.540254	+	0.414552i
$780$	0.431345	+	1.00997i	0.0154446	+	0.0361628i
$781$	19.7248	+	25.7059i	0.705810	+	0.919829i
$782$	−1.19133	−	2.83222i	−0.0426019	−	0.101280i
$783$			3.39202i			0.121221i
$784$	20.6438	+	18.9164i	0.737280	+	0.675587i
$785$			20.1796i			0.720242i
$786$	−16.8401	+	7.08354i	−0.600667	+	0.252662i
$787$	17.5040	+	22.8116i	0.623950	+	0.813147i	0.993229	−	0.116171i	$-0.0370621\pi$
$787$	17.5040	+	22.8116i	0.623950	+	0.813147i	−0.369279	+	0.929318i	$0.620395\pi$
$788$	−12.1413	+	30.2431i	−0.432516	+	1.07737i
$789$	25.3802	+	19.4749i	0.903559	+	0.693325i
$790$	−6.45754	−	3.68132i	−0.229749	−	0.130976i
$791$	20.5945	+	48.2285i	0.732257	+	1.71481i
$792$	−16.0295	+	0.263004i	−0.569582	+	0.00934544i
$793$	−1.17865	−	0.315819i	−0.0418552	−	0.0112151i
$794$	−3.82413	+	14.5906i	−0.135713	+	0.517799i
$795$	19.5072	+	2.56817i	0.691847	+	0.0910834i
$796$	−9.05436	+	16.0864i	−0.320923	+	0.570167i
$797$	−46.3261	−	19.1889i	−1.64095	−	0.679705i	−0.644559	−	0.764554i	$-0.722959\pi$
$797$	−46.3261	−	19.1889i	−1.64095	−	0.679705i	−0.996394	+	0.0848494i	$0.972959\pi$
$798$	13.4367	+	13.0043i	0.475653	+	0.460348i
$799$	12.1969			0.431497
$800$	−1.60659	+	15.4587i	−0.0568017	+	0.546548i
$801$	−5.91264	+	10.2410i	−0.208913	+	0.361848i
$802$	3.81014	+	27.7667i	0.134541	+	0.980475i
$803$	−9.29300	−	70.5873i	−0.327943	−	2.49097i
$804$	−14.7110	+	8.70928i	−0.518816	+	0.307153i
$805$	3.62904	+	2.04290i	0.127907	+	0.0720028i
$806$	−1.78981	+	0.490084i	−0.0630434	+	0.0172625i
$807$	13.7312	+	3.67928i	0.483363	+	0.129517i
$808$	44.8861	−	12.8200i	1.57909	−	0.451007i
$809$	43.2154	−	11.5795i	1.51937	−	0.407115i	0.599837	−	0.800122i	$-0.295232\pi$
$809$	43.2154	−	11.5795i	1.51937	−	0.407115i	0.919535	+	0.393007i	$0.128565\pi$
$810$	−0.0116073	−	2.12249i	−0.000407840	−	0.0745766i
$811$	9.92088	−	4.10936i	0.348369	−	0.144299i	−0.201636	−	0.979461i	$-0.564626\pi$
$811$	9.92088	−	4.10936i	0.348369	−	0.144299i	0.550005	+	0.835161i	$0.314626\pi$
$812$	−12.9656	−	12.4118i	−0.455005	−	0.435570i
$813$	−6.56218	+	15.8425i	−0.230146	+	0.555621i
$814$	−30.0588	+	12.6438i	−1.05356	+	0.443164i
$815$	7.54273	+	4.35480i	0.264210	+	0.152542i
$816$	−1.26103	−	8.18990i	−0.0441450	−	0.286704i
$817$	18.5072	−	10.6851i	0.647484	−	0.373825i
$818$	−36.1255	−	4.55517i	−1.26310	−	0.159268i
$819$	−0.937684	−	0.240347i	−0.0327653	−	0.00839841i
$820$	9.13230	+	6.85008i	0.318914	+	0.239215i
$821$	1.57588	+	1.20921i	0.0549985	+	0.0422018i	0.635895	−	0.771776i	$-0.280631\pi$
$821$	1.57588	+	1.20921i	0.0549985	+	0.0422018i	−0.580896	+	0.813978i	$0.697298\pi$
$822$	−7.94608	−	13.5908i	−0.277151	−	0.474034i
$823$	−25.5169	+	6.83724i	−0.889464	+	0.238331i	−0.674486	−	0.738288i	$-0.735635\pi$
$823$	−25.5169	+	6.83724i	−0.889464	+	0.238331i	−0.214978	+	0.976619i	$0.568968\pi$
$824$	−22.9237	+	3.40144i	−0.798586	+	0.118495i
$825$	11.0116	−	11.0116i	0.383373	−	0.383373i
$826$	2.18841	−	19.0209i	0.0761447	−	0.661821i
$827$	−5.45363	−	13.1662i	−0.189641	−	0.457835i	0.800249	−	0.599668i	$-0.204701\pi$
$827$	−5.45363	−	13.1662i	−0.189641	−	0.457835i	−0.989891	+	0.141833i	$0.954701\pi$
$828$	0.565012	+	2.02001i	0.0196355	+	0.0702003i
$829$	13.3049	−	10.2092i	0.462099	−	0.354581i	−0.351324	−	0.936254i	$-0.614268\pi$
$829$	13.3049	−	10.2092i	0.462099	−	0.354581i	0.813423	+	0.581673i	$0.197602\pi$
$830$	14.0638	−	1.92983i	0.488161	−	0.0669854i
$831$	−3.74048	−	6.47870i	−0.129756	−	0.224744i
$832$	−1.20820	−	2.66595i	−0.0418870	−	0.0924251i
$833$	13.9221	−	4.05712i	0.482373	−	0.140571i
$834$	9.22603	+	11.8884i	0.319471	+	0.411662i
$835$	3.90350	+	29.6500i	0.135086	+	1.02608i
$836$	39.6189	−	40.4952i	1.37025	−	1.40055i
$837$	3.55578	+	0.468127i	0.122906	+	0.0161808i
$838$	−15.7449	+	15.9181i	−0.543899	+	0.549881i
$839$	−17.9232	+	17.9232i	−0.618779	+	0.618779i	−0.945218	−	0.326439i	$-0.894151\pi$
$839$	−17.9232	+	17.9232i	−0.618779	+	0.618779i	0.326439	+	0.945218i	$0.394151\pi$
$840$	8.15546	+	7.72209i	0.281390	+	0.266438i
$841$	−12.3703	−	12.3703i	−0.426561	−	0.426561i
$842$	−47.2925	+	0.258631i	−1.62981	+	0.00891300i
$843$	−3.11873	+	23.6891i	−0.107415	+	0.815896i
$844$	37.8301	−	16.1567i	1.30216	−	0.556137i
$845$	−19.1449	+	2.52047i	−0.658605	+	0.0867069i
$846$	−8.26102	−	1.04166i	−0.284020	−	0.0358129i
$847$	−55.3349	+	7.89844i	−1.90133	+	0.271394i
$848$	−52.1270	−	5.70577i	−1.79005	−	0.195937i
$849$	12.4368	−	7.18038i	0.426830	−	0.246430i
$850$	6.41257	+	4.86505i	0.219949	+	0.166870i
$851$	2.59734	+	3.38491i	0.0890355	+	0.116033i
$852$	8.99381	−	7.05881i	0.308123	−	0.241831i
$853$	16.4485	−	6.81318i	0.563185	−	0.233279i	−0.0828821	−	0.996559i	$-0.526412\pi$
$853$	16.4485	−	6.81318i	0.563185	−	0.233279i	0.646067	+	0.763280i	$0.276412\pi$
$854$	−12.3440	+	1.83090i	−0.422403	+	0.0626522i
$855$	5.30369	+	5.30369i	0.181383	+	0.181383i
$856$	12.0693	+	3.02265i	0.412521	+	0.103312i
$857$	1.78409	+	6.65831i	0.0609433	+	0.227443i	0.989680	−	0.143297i	$-0.0457705\pi$
$857$	1.78409	+	6.65831i	0.0609433	+	0.227443i	−0.928736	+	0.370741i	$0.879104\pi$
$858$	−0.743544	+	2.83691i	−0.0253842	+	0.0968506i
$859$	24.6673	−	32.1471i	0.841638	−	1.09684i	−0.152455	−	0.988310i	$-0.548718\pi$
$859$	24.6673	−	32.1471i	0.841638	−	1.09684i	0.994093	−	0.108533i	$-0.0346153\pi$
$860$	11.0452	−	6.53903i	0.376637	−	0.222979i
$861$	−9.69041	+	2.70989i	−0.330248	+	0.0923527i
$862$	32.8912	−	25.5253i	1.12028	−	0.869395i
$863$	−15.0190	−	26.0136i	−0.511251	−	0.885513i	−0.999915	−	0.0130411i	$-0.995849\pi$
$863$	−15.0190	−	26.0136i	−0.511251	−	0.885513i	0.488664	−	0.872472i	$-0.337485\pi$
$864$	0.154659	+	5.65474i	0.00526159	+	0.192378i
$865$	−9.16699	+	15.8777i	−0.311687	+	0.539858i
$866$	−30.3594	−	12.3812i	−1.03166	−	0.420731i
$867$	11.7411	+	4.86331i	0.398748	+	0.165167i
$868$	−14.8004	+	11.8787i	−0.502360	+	0.403188i
$869$	−7.59617	−	18.3388i	−0.257682	−	0.622101i
$870$	−5.11866	−	5.06298i	−0.173539	−	0.171651i
$871$	0.809429	+	3.02083i	0.0274265	+	0.102357i
$872$	3.59351	+	1.99684i	0.121692	+	0.0676214i
$873$	−1.24623	+	4.65101i	−0.0421786	+	0.157413i
$874$	−6.43942	−	3.67099i	−0.217817	−	0.124173i
$875$	−30.7623	+	0.334750i	−1.03996	+	0.0113166i
$876$	−24.8698	+	3.55131i	−0.840273	+	0.119988i
$877$	46.5405	−	6.12718i	1.57156	−	0.206900i	0.706187	−	0.708025i	$-0.250414\pi$
$877$	46.5405	−	6.12718i	1.57156	−	0.206900i	0.865375	+	0.501125i	$0.167080\pi$
$878$	−22.8998	−	17.3735i	−0.772832	−	0.586328i
$879$	1.35679	+	0.783343i	0.0457634	+	0.0264215i
$880$	23.5290	−	24.5815i	0.793161	−	0.828644i
$881$			34.1049i			1.14902i	0.818497	+	0.574511i	$0.194808\pi$
$881$			34.1049i			1.14902i	−0.818497	+	0.574511i	$0.805192\pi$
$882$	−9.77598	+	1.55890i	−0.329174	+	0.0524910i
$883$	−8.18956	+	19.7714i	−0.275601	+	0.665359i	−0.999704	−	0.0243327i	$-0.992254\pi$
$883$	−8.18956	+	19.7714i	−0.275601	+	0.665359i	0.724103	+	0.689692i	$0.242254\pi$
$884$	−1.50498	−	0.181411i	−0.0506178	−	0.00610153i
$885$	1.00243	−	7.61425i	0.0336965	−	0.255950i
$886$	−6.92329	−	11.8415i	−0.232592	−	0.397822i
$887$	5.48571	−	20.4729i	0.184192	−	0.687414i	−0.810610	−	0.585586i	$-0.800864\pi$
$887$	5.48571	−	20.4729i	0.184192	−	0.687414i	0.994802	−	0.101828i	$-0.0324690\pi$
$888$	4.57717	+	10.5570i	0.153600	+	0.354269i
$889$	−4.71273	+	2.01243i	−0.158060	+	0.0674947i
$890$	−6.62868	−	24.2082i	−0.222194	−	0.811462i
$891$	3.45048	−	4.49675i	0.115595	−	0.150647i
$892$	40.3970	+	39.5229i	1.35259	+	1.32332i
$893$	23.3436	−	17.9122i	0.781163	−	0.599408i
$894$	−5.74935	+	14.0977i	−0.192287	+	0.471498i
$895$	34.8030			1.16334
$896$	−22.1806	−	20.1003i	−0.741001	−	0.671504i
$897$	0.383713			0.0128118
$898$	−2.28719	+	5.60832i	−0.0763246	+	0.187152i
$899$	9.65142	−	7.40579i	0.321893	−	0.246997i
$900$	−3.92776	−	3.84277i	−0.130925	−	0.128092i
$901$	−16.5327	+	21.5458i	−0.550783	+	0.717794i
$902$	8.05110	+	29.4030i	0.268072	+	0.979012i
$903$	−1.35458	+	11.2322i	−0.0450777	+	0.373785i
$904$	−22.3010	−	51.4360i	−0.741719	−	1.71073i
$905$	−8.03034	+	29.9696i	−0.266937	+	0.996224i
$906$	9.77879	+	16.7255i	0.324878	+	0.555666i
$907$	4.49317	−	34.1290i	0.149193	−	1.13324i	−0.738980	−	0.673727i	$-0.764692\pi$
$907$	4.49317	−	34.1290i	0.149193	−	1.13324i	0.888173	−	0.459508i	$-0.151974\pi$
$908$	25.5150	+	3.07560i	0.846744	+	0.102067i
$909$	−6.31589	+	15.2479i	−0.209485	+	0.505741i
$910$	1.76230	−	1.05625i	0.0584195	−	0.0350143i
$911$		−	31.3033i		−	1.03712i	−0.855040	−	0.518562i	$-0.826468\pi$
$911$		−	31.3033i		−	1.03712i	0.855040	−	0.518562i	$-0.173532\pi$
$912$	−14.4410	−	13.8226i	−0.478189	−	0.457714i
$913$	32.8295	+	18.9541i	1.08650	+	0.627290i
$914$	28.7516	+	21.8131i	0.951019	+	0.721514i
$915$	−4.96275	+	0.653358i	−0.164063	+	0.0215993i
$916$	15.5650	−	2.22263i	0.514284	−	0.0734376i
$917$	17.4104	+	29.4119i	0.574942	+	0.971266i
$918$	2.54516	+	1.45095i	0.0840028	+	0.0478884i
$919$	−11.5772	+	43.2067i	−0.381897	+	1.42526i	0.461104	+	0.887346i	$0.347453\pi$
$919$	−11.5772	+	43.2067i	−0.381897	+	1.42526i	−0.843001	+	0.537912i	$0.819213\pi$
$920$	−3.89161	−	2.16249i	−0.128303	−	0.0712951i
$921$	8.44092	+	31.5020i	0.278138	+	1.03802i
$922$	−7.51421	−	7.43247i	−0.247467	−	0.244775i
$923$	−0.800384	−	1.93230i	−0.0263450	−	0.0636023i
$924$	4.56261	+	29.6433i	0.150099	+	0.975194i
$925$	−10.3263	−	4.27731i	−0.339528	−	0.140637i
$926$	46.7245	+	19.0552i	1.53546	+	0.626194i
$927$	4.09675	−	7.09578i	0.134555	−	0.233056i
$928$	13.9339	+	13.1920i	0.457404	+	0.433050i
$929$	19.7383	+	34.1877i	0.647592	+	1.12166i	0.983696	+	0.179837i	$0.0575571\pi$
$929$	19.7383	+	34.1877i	0.647592	+	1.12166i	−0.336105	+	0.941825i	$0.609110\pi$
$930$	−6.01384	+	4.66705i	−0.197201	+	0.153039i
$931$	20.6872	−	28.2106i	0.677996	−	0.924566i
$932$	−3.33852	+	1.97649i	−0.109357	+	0.0647422i
$933$	−8.03052	+	10.4656i	−0.262907	+	0.342628i
$934$	−3.35240	+	12.7907i	−0.109694	+	0.418525i
$935$	−4.56112	−	17.0223i	−0.149165	−	0.556690i
$936$	1.00383	+	0.251400i	0.0328112	+	0.00821727i
$937$	−24.7181	−	24.7181i	−0.807505	−	0.807505i	0.176750	−	0.984256i	$-0.443441\pi$
$937$	−24.7181	−	24.7181i	−0.807505	−	0.807505i	−0.984256	+	0.176750i	$0.943441\pi$
$938$	19.8824	+	25.0522i	0.649182	+	0.817985i
$939$	25.4700	−	10.5500i	0.831181	−	0.344286i
$940$	13.9024	−	10.9113i	0.453447	−	0.355889i
$941$	−16.9078	−	22.0346i	−0.551177	−	0.718308i	0.431814	−	0.901963i	$-0.357874\pi$
$941$	−16.9078	−	22.0346i	−0.551177	−	0.718308i	−0.982991	+	0.183655i	$0.941207\pi$
$942$	15.1485	+	11.4928i	0.493566	+	0.374456i
$943$	3.45426	−	1.99432i	0.112486	−	0.0649440i
$944$	−2.22714	+	20.3468i	−0.0724872	+	0.662231i
$945$	−3.93102	+	0.561109i	−0.127876	+	0.0182529i
$946$	34.0075	+	4.28810i	1.10568	+	0.139418i
$947$	−32.5835	+	4.28970i	−1.05882	+	0.139397i	−0.639771	−	0.768566i	$-0.720971\pi$
$947$	−32.5835	+	4.28970i	−1.05882	+	0.139397i	−0.419052	+	0.907962i	$0.637637\pi$
$948$	−6.44125	+	2.75097i	−0.209202	+	0.0893473i
$949$	−0.599858	+	4.55637i	−0.0194722	+	0.147906i
$950$	19.4177	−	0.106190i	0.629992	−	0.00344527i
$951$	9.37506	+	9.37506i	0.304007	+	0.304007i
$952$	−14.8592	+	4.41940i	−0.481589	+	0.143234i
$953$	15.0359	−	15.0359i	0.487060	−	0.487060i	−0.420317	−	0.907377i	$-0.638081\pi$
$953$	15.0359	−	15.0359i	0.487060	−	0.487060i	0.907377	+	0.420317i	$0.138081\pi$
$954$	13.0377	−	13.1811i	0.422111	−	0.426753i
$955$	4.74786	+	0.625067i	0.153637	+	0.0202267i
$956$	4.17124	−	4.26349i	0.134907	−	0.137891i
$957$	−2.50951	−	19.0616i	−0.0811208	−	0.616174i
$958$	−30.6143	−	39.4488i	−0.989105	−	1.27453i
$959$	−23.1701	+	18.1830i	−0.748202	+	0.587160i
$960$	−8.76403	−	8.20697i	−0.282858	−	0.264879i
$961$	9.06864	+	15.7073i	0.292537	+	0.506689i
$962$	2.08540	−	0.286158i	0.0672359	−	0.00922612i
$963$	−3.48991	+	2.67790i	−0.112461	+	0.0862941i
$964$	−8.13222	−	29.0741i	−0.261921	−	0.936414i
$965$	13.0773	+	31.5713i	0.420972	+	1.01632i
$966$	3.60040	−	1.56078i	0.115841	−	0.0502172i
$967$	3.87278	−	3.87278i	0.124540	−	0.124540i	−0.642089	−	0.766630i	$-0.721932\pi$
$967$	3.87278	−	3.87278i	0.124540	−	0.124540i	0.766630	+	0.642089i	$0.221932\pi$
$968$	59.1080	−	8.77047i	1.89980	−	0.281894i
$969$	−10.0002	+	2.67954i	−0.321252	+	0.0860792i
$970$	−5.15837	−	8.82278i	−0.165625	−	0.283282i
$971$	21.8270	+	16.7484i	0.700461	+	0.537483i	0.896462	−	0.443121i	$-0.146129\pi$
$971$	21.8270	+	16.7484i	0.700461	+	0.537483i	−0.196001	+	0.980604i	$0.562796\pi$
$972$	−1.59993	−	1.20010i	−0.0513177	−	0.0384931i
$973$	19.6894	−	20.1226i	0.631212	−	0.645100i
$974$	22.8077	+	2.87589i	0.730806	+	0.0921495i
$975$	−0.870537	+	0.502605i	−0.0278795	+	0.0160962i
$976$	13.1853	−	2.03019i	0.422050	−	0.0649849i
$977$	−2.58831	−	1.49436i	−0.0828074	−	0.0478089i	0.458025	−	0.888940i	$-0.348557\pi$
$977$	−2.58831	−	1.49436i	−0.0828074	−	0.0478089i	−0.540832	+	0.841131i	$0.681891\pi$
$978$	7.56485	−	3.18204i	0.241897	−	0.101751i
$979$	25.6498	−	61.9240i	0.819770	−	1.97910i
$980$	12.2394	−	17.0791i	0.390972	−	0.545572i
$981$	−1.34283	+	0.556220i	−0.0428734	+	0.0177587i
$982$	0.227920	+	41.6769i	0.00727323	+	1.32996i
$983$	−16.4359	+	4.40400i	−0.524225	+	0.140466i	−0.511220	−	0.859450i	$-0.670806\pi$
$983$	−16.4359	+	4.40400i	−0.524225	+	0.140466i	−0.0130049	+	0.999915i	$0.504140\pi$
$984$	10.3433	−	2.95418i	0.329733	−	0.0941758i
$985$	23.6224	+	6.32961i	0.752673	+	0.201678i
$986$	9.58474	−	2.62449i	0.305240	−	0.0835807i
$987$	0.169499	+	15.5764i	0.00539523	+	0.495802i
$988$	−3.14678	+	1.86298i	−0.100112	+	0.0592691i
$989$	−0.585371	−	4.44633i	−0.0186137	−	0.141385i
$990$	1.63550	+	11.9188i	0.0519796	+	0.378805i
$991$	−16.1518	+	27.9757i	−0.513077	+	0.888676i	0.486808	+	0.873509i	$0.338161\pi$
$991$	−16.1518	+	27.9757i	−0.513077	+	0.888676i	−0.999885	+	0.0151669i	$0.995172\pi$
$992$	15.7519	−	12.7860i	0.500125	−	0.405957i
$993$	−8.72186			−0.276780
$994$	−15.3698	−	14.8753i	−0.487501	−	0.471814i
$995$	12.7980	+	5.30110i	0.405724	+	0.168056i
$996$	6.56098	−	11.6565i	0.207893	−	0.369352i
$997$	47.0156	+	6.18972i	1.48900	+	0.196030i	0.830697	−	0.556724i	$-0.187942\pi$
$997$	47.0156	+	6.18972i	1.48900	+	0.196030i	0.658301	+	0.752755i	$0.271275\pi$
$998$	2.77642	−	10.5931i	0.0878859	−	0.335319i
$999$	−3.92955	−	1.05292i	−0.124326	−	0.0333129i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	672.2.cj.a.445.39	yes	512
7.2	even	3	inner	672.2.cj.a.541.4	yes	512
32.21	even	8	inner	672.2.cj.a.277.4	✓	512
224.149	even	24	inner	672.2.cj.a.373.39	yes	512

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
672.2.cj.a.277.4	✓	512	32.21	even	8	inner
672.2.cj.a.373.39	yes	512	224.149	even	24	inner
672.2.cj.a.445.39	yes	512	1.1	even	1	trivial
672.2.cj.a.541.4	yes	512	7.2	even	3	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:	\( N \)	\(=\)	\( 672 = 2^{5} \cdot 3 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	672.cj (of order \(24\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.534043 - 1.30950i) q^{2} +(-0.793353 + 0.608761i) q^{3} +(-1.42960 - 1.39866i) q^{4} +(-0.913658 + 1.19070i) q^{5} +(0.373490 + 1.36400i) q^{6} +(2.43319 - 1.03902i) q^{7} +(-2.59502 + 1.12512i) q^{8} +(0.258819 - 0.965926i) q^{9} +O(q^{10})\)	\(q+(0.534043 - 1.30950i) q^{2} +(-0.793353 + 0.608761i) q^{3} +(-1.42960 - 1.39866i) q^{4} +(-0.913658 + 1.19070i) q^{5} +(0.373490 + 1.36400i) q^{6} +(2.43319 - 1.03902i) q^{7} +(-2.59502 + 1.12512i) q^{8} +(0.258819 - 0.965926i) q^{9} +(1.07130 + 1.83232i) q^{10} +(-0.739827 + 5.61954i) q^{11} +(1.98563 + 0.239350i) q^{12} +(0.140012 - 0.338019i) q^{13} +(-0.0611736 - 3.74116i) q^{14} -1.50085i q^{15} +(0.0874920 + 3.99904i) q^{16} +(1.79406 + 1.03580i) q^{17} +(-1.12666 - 0.854770i) q^{18} +(4.95480 - 0.652311i) q^{19} +(2.97155 - 0.424325i) q^{20} +(-1.29787 + 2.30555i) q^{21} +(6.96371 + 3.96988i) q^{22} +(0.271442 - 1.01304i) q^{23} +(1.37384 - 2.47236i) q^{24} +(0.711095 + 2.65384i) q^{25} +(-0.367864 - 0.363862i) q^{26} +(0.382683 + 0.923880i) q^{27} +(-4.93173 - 1.91783i) q^{28} +(3.13382 + 1.29807i) q^{29} +(-1.96536 - 0.801516i) q^{30} +(1.79323 - 3.10597i) q^{31} +(5.28348 + 2.02109i) q^{32} +(-2.83402 - 4.90866i) q^{33} +(2.31449 - 1.79617i) q^{34} +(-0.985940 + 3.84652i) q^{35} +(-1.72101 + 1.01888i) q^{36} +(-2.47655 + 3.22750i) q^{37} +(1.79187 - 6.83668i) q^{38} +(0.0946938 + 0.353402i) q^{39} +(1.03128 - 4.11786i) q^{40} +(2.68923 + 2.68923i) q^{41} +(2.32600 + 2.93082i) q^{42} +(3.95064 - 1.63641i) q^{43} +(8.91749 - 6.99891i) q^{44} +(0.913658 + 1.19070i) q^{45} +(-1.18161 - 0.896459i) q^{46} +(5.09888 - 2.94384i) q^{47} +(-2.50388 - 3.11939i) q^{48} +(4.84086 - 5.05629i) q^{49} +(3.85497 + 0.486085i) q^{50} +(-2.05388 + 0.270399i) q^{51} +(-0.672934 + 0.287401i) q^{52} +(-1.71114 + 12.9974i) q^{53} +(1.41419 - 0.00773386i) q^{54} +(-6.01525 - 6.01525i) q^{55} +(-5.14516 + 5.43391i) q^{56} +(-3.53380 + 3.53380i) q^{57} +(3.37342 - 3.41052i) q^{58} +(5.07330 + 0.667913i) q^{59} +(-2.09918 + 2.14561i) q^{60} +(-0.435326 - 3.30663i) q^{61} +(-3.10961 - 4.00696i) q^{62} +(-0.373862 - 2.61920i) q^{63} +(5.46823 - 5.83939i) q^{64} +(0.274556 + 0.475546i) q^{65} +(-7.94139 + 1.08972i) q^{66} +(-6.78148 + 5.20361i) q^{67} +(-1.11605 - 3.99007i) q^{68} +(0.401348 + 0.968940i) q^{69} +(4.51049 + 3.34530i) q^{70} +(4.04221 - 4.04221i) q^{71} +(0.415138 + 2.79780i) q^{72} +(-12.1330 + 3.25104i) q^{73} +(2.90384 + 4.96667i) q^{74} +(-2.17971 - 1.67255i) q^{75} +(-7.99572 - 5.99754i) q^{76} +(4.03869 + 14.4421i) q^{77} +(0.513351 + 0.0647300i) q^{78} +(-3.03287 + 1.75103i) q^{79} +(-4.84161 - 3.54958i) q^{80} +(-0.866025 - 0.500000i) q^{81} +(4.95772 - 2.08539i) q^{82} +(2.55942 - 6.17898i) q^{83} +(5.08010 - 1.48073i) q^{84} +(-2.87249 + 1.18982i) q^{85} +(-0.0330711 - 6.04729i) q^{86} +(-3.27644 + 0.877919i) q^{87} +(-4.40277 - 15.4152i) q^{88} +(-11.4223 - 3.06061i) q^{89} +(2.04716 - 0.560552i) q^{90} +(-0.0105329 - 0.967940i) q^{91} +(-1.80495 + 1.06858i) q^{92} +(0.468127 + 3.55578i) q^{93} +(-1.13195 - 8.24913i) q^{94} +(-3.75028 + 6.49567i) q^{95} +(-5.42203 + 1.61294i) q^{96} -4.81508 q^{97} +(-4.03599 - 9.03940i) q^{98} +(5.23658 + 2.16906i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 512 q+O(q^{10}) \) 512 * q	\( 512 q - 64 q^{14} + 8 q^{16} + 8 q^{18} + 64 q^{20} + 16 q^{22} + 16 q^{23} - 40 q^{28} + 96 q^{31} + 48 q^{35} - 80 q^{38} + 64 q^{40} - 32 q^{43} - 8 q^{44} - 48 q^{50} + 24 q^{52} + 32 q^{53} - 32 q^{58} + 64 q^{59} - 48 q^{60} - 48 q^{64} + 48 q^{66} - 16 q^{67} + 72 q^{70} - 128 q^{71} - 144 q^{74} - 48 q^{78} + 24 q^{80} + 40 q^{82} - 88 q^{88} + 48 q^{91} + 128 q^{92} - 24 q^{94} - 40 q^{96} - 88 q^{98}+O(q^{100}) \) 512 * q - 64 * q^14 + 8 * q^16 + 8 * q^18 + 64 * q^20 + 16 * q^22 + 16 * q^23 - 40 * q^28 + 96 * q^31 + 48 * q^35 - 80 * q^38 + 64 * q^40 - 32 * q^43 - 8 * q^44 - 48 * q^50 + 24 * q^52 + 32 * q^53 - 32 * q^58 + 64 * q^59 - 48 * q^60 - 48 * q^64 + 48 * q^66 - 16 * q^67 + 72 * q^70 - 128 * q^71 - 144 * q^74 - 48 * q^78 + 24 * q^80 + 40 * q^82 - 88 * q^88 + 48 * q^91 + 128 * q^92 - 24 * q^94 - 40 * q^96 - 88 * q^98

Introduction

L-functions

Modular forms

Varieties

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Database

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