LMFDB - Embedded newform 483.2.r.a.412.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(34,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 11, 9]))

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

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

chi := DirichletCharacter("483.34");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.r (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$32$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			412.17
Character	$\chi$	$=$	483.412
Dual form			483.2.r.a.34.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0475988 + 0.0305899i) q^{2} +(-0.989821 + 0.142315i) q^{3} +(-0.829500 - 1.81635i) q^{4} +(1.34994 + 0.396378i) q^{5} +(-0.0514677 - 0.0235045i) q^{6} +(-1.67496 + 2.04805i) q^{7} +(0.0321834 - 0.223840i) q^{8} +(0.959493 - 0.281733i) q^{9} +O(q^{10})$	\(q+(0.0475988 + 0.0305899i) q^{2} +(-0.989821 + 0.142315i) q^{3} +(-0.829500 - 1.81635i) q^{4} +(1.34994 + 0.396378i) q^{5} +(-0.0514677 - 0.0235045i) q^{6} +(-1.67496 + 2.04805i) q^{7} +(0.0321834 - 0.223840i) q^{8} +(0.959493 - 0.281733i) q^{9} +(0.0521303 + 0.0601616i) q^{10} +(-2.64854 - 4.12121i) q^{11} +(1.07955 + 1.67981i) q^{12} +(5.25957 - 4.55745i) q^{13} +(-0.142376 + 0.0462480i) q^{14} +(-1.39261 - 0.200227i) q^{15} +(-2.60687 + 3.00849i) q^{16} +(-2.10466 + 4.60856i) q^{17} +(0.0542889 + 0.0159407i) q^{18} +(-2.25637 - 4.94077i) q^{19} +(-0.399813 - 2.78076i) q^{20} +(1.36644 - 2.26558i) q^{21} -0.277184i q^{22} +(-2.49928 - 4.09311i) q^{23} +0.226142i q^{24} +(-2.54105 - 1.63303i) q^{25} +(0.389762 - 0.0560393i) q^{26} +(-0.909632 + 0.415415i) q^{27} +(5.10936 + 1.34346i) q^{28} +(2.06655 - 4.52510i) q^{29} +(-0.0601616 - 0.0521303i) q^{30} +(-6.92521 - 0.995695i) q^{31} +(-0.650077 + 0.190880i) q^{32} +(3.20809 + 3.70234i) q^{33} +(-0.241155 + 0.154981i) q^{34} +(-3.07289 + 2.10083i) q^{35} +(-1.30763 - 1.50908i) q^{36} +(-1.69673 - 5.77852i) q^{37} +(0.0437369 - 0.304197i) q^{38} +(-4.55745 + 5.25957i) q^{39} +(0.132171 - 0.289414i) q^{40} +(-1.55515 + 5.29634i) q^{41} +(0.134345 - 0.0660395i) q^{42} +(4.87023 - 0.700234i) q^{43} +(-5.28861 + 8.22923i) q^{44} +1.40693 q^{45} +(0.00624494 - 0.271280i) q^{46} -1.42033i q^{47} +(2.15218 - 3.34886i) q^{48} +(-1.38903 - 6.86080i) q^{49} +(-0.0709966 - 0.155461i) q^{50} +(1.42737 - 4.86117i) q^{51} +(-12.6407 - 5.77284i) q^{52} +(9.48338 + 8.21740i) q^{53} +(-0.0560049 - 0.00805229i) q^{54} +(-1.94181 - 6.61321i) q^{55} +(0.404531 + 0.440837i) q^{56} +(2.93655 + 4.56936i) q^{57} +(0.236788 - 0.152174i) q^{58} +(4.73297 - 4.10114i) q^{59} +(0.791486 + 2.69556i) q^{60} +(0.654784 - 4.55412i) q^{61} +(-0.299174 - 0.259236i) q^{62} +(-1.03011 + 2.43698i) q^{63} +(7.60232 + 2.23224i) q^{64} +(8.90657 - 4.06750i) q^{65} +(0.0394474 + 0.274362i) q^{66} +(2.14755 - 3.34165i) q^{67} +10.1166 q^{68} +(3.05636 + 3.69577i) q^{69} +(-0.210530 + 0.00599740i) q^{70} +(4.34704 + 2.79367i) q^{71} +(-0.0321834 - 0.223840i) q^{72} +(-2.71362 + 1.23927i) q^{73} +(0.0960023 - 0.326954i) q^{74} +(2.74759 + 1.25478i) q^{75} +(-7.10251 + 8.19673i) q^{76} +(12.8767 + 1.47851i) q^{77} +(-0.377819 + 0.110938i) q^{78} +(-3.80573 + 3.29769i) q^{79} +(-4.71161 + 3.02797i) q^{80} +(0.841254 - 0.540641i) q^{81} +(-0.236038 + 0.204528i) q^{82} +(-2.35211 + 0.690642i) q^{83} +(-5.24855 - 0.602643i) q^{84} +(-4.66789 + 5.38703i) q^{85} +(0.253238 + 0.115650i) q^{86} +(-1.40152 + 4.77314i) q^{87} +(-1.00773 + 0.460216i) q^{88} +(2.06738 + 14.3789i) q^{89} +(0.0669682 + 0.0430378i) q^{90} +(0.524318 + 18.4054i) q^{91} +(-5.36138 + 7.93482i) q^{92} +6.99642 q^{93} +(0.0434477 - 0.0676059i) q^{94} +(-1.08755 - 7.56411i) q^{95} +(0.616295 - 0.281453i) q^{96} +(-7.20245 - 2.11483i) q^{97} +(0.143755 - 0.369056i) q^{98} +(-3.70234 - 3.20809i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) $ 320 * q + 4 * q^2 - 36 * q^4 + 12 * q^8 + 32 * q^9	$ 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) $ 320 * q + 4 * q^2 - 36 * q^4 + 12 * q^8 + 32 * q^9 - 4 * q^18 + 52 * q^23 - 68 * q^25 - 88 * q^28 + 24 * q^32 + 28 * q^35 + 14 * q^36 - 44 * q^37 + 110 * q^42 - 44 * q^43 - 154 * q^44 + 40 * q^46 - 16 * q^49 - 166 * q^50 - 44 * q^51 + 110 * q^56 - 44 * q^57 - 62 * q^58 - 84 * q^64 + 72 * q^70 - 40 * q^71 - 12 * q^72 + 22 * q^74 + 72 * q^77 - 8 * q^78 - 88 * q^79 - 32 * q^81 - 304 * q^85 + 330 * q^88 - 412 * q^92 + 24 * q^93 + 148 * q^95 - 60 * q^98 + 44 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$1$	$-1$	$e\left(\frac{13}{22}\right)$

Coefficient data

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

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

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

$2$	0.0475988	+	0.0305899i	0.0336575	+	0.0216303i	0.557361	−	0.830270i	$-0.311814\pi$
$2$	0.0475988	+	0.0305899i	0.0336575	+	0.0216303i	−0.523704	+	0.851900i	$0.675450\pi$
$3$	−0.989821	+	0.142315i	−0.571474	+	0.0821655i
$3$	−0.989821	+	0.142315i	−0.571474	+	0.0821655i
$4$	−0.829500	−	1.81635i	−0.414750	−	0.908176i
$5$	1.34994	+	0.396378i	0.603711	+	0.177265i	0.569283	−	0.822142i	$-0.307221\pi$
$5$	1.34994	+	0.396378i	0.603711	+	0.177265i	0.0344279	+	0.999407i	$0.489039\pi$
$6$	−0.0514677	−	0.0235045i	−0.0210116	−	0.00959568i
$7$	−1.67496	+	2.04805i	−0.633075	+	0.774091i
$7$	−1.67496	+	2.04805i	−0.633075	+	0.774091i
$8$	0.0321834	−	0.223840i	0.0113785	−	0.0791395i
$9$	0.959493	−	0.281733i	0.319831	−	0.0939109i
$10$	0.0521303	+	0.0601616i	0.0164851	+	0.0190248i
$11$	−2.64854	−	4.12121i	−0.798566	−	1.24259i	−0.966467	−	0.256789i	$-0.917335\pi$
$11$	−2.64854	−	4.12121i	−0.798566	−	1.24259i	0.167902	−	0.985804i	$-0.446301\pi$
$12$	1.07955	+	1.67981i	0.311639	+	0.484920i
$13$	5.25957	−	4.55745i	1.45874	−	1.26401i	0.557869	−	0.829929i	$-0.311619\pi$
$13$	5.25957	−	4.55745i	1.45874	−	1.26401i	0.900875	−	0.434079i	$-0.142926\pi$
$14$	−0.142376	+	0.0462480i	−0.0380515	+	0.0123603i
$15$	−1.39261	−	0.200227i	−0.359570	−	0.0516984i
$16$	−2.60687	+	3.00849i	−0.651718	+	0.752122i
$17$	−2.10466	+	4.60856i	−0.510455	+	1.11774i	0.462474	+	0.886633i	$0.346962\pi$
$17$	−2.10466	+	4.60856i	−0.510455	+	1.11774i	−0.972928	+	0.231107i	$0.925765\pi$
$18$	0.0542889	+	0.0159407i	0.0127960	+	0.00375725i
$19$	−2.25637	−	4.94077i	−0.517647	−	1.13349i	−0.970323	−	0.241814i	$-0.922258\pi$
$19$	−2.25637	−	4.94077i	−0.517647	−	1.13349i	0.452675	−	0.891675i	$-0.350470\pi$
$20$	−0.399813	−	2.78076i	−0.0894008	−	0.621797i
$21$	1.36644	−	2.26558i	0.298182	−	0.494389i
$22$		−	0.277184i		−	0.0590958i
$23$	−2.49928	−	4.09311i	−0.521137	−	0.853473i
$23$	−2.49928	−	4.09311i	−0.521137	−	0.853473i
$24$			0.226142i			0.0461611i
$25$	−2.54105	−	1.63303i	−0.508210	−	0.326607i
$26$	0.389762	−	0.0560393i	0.0764385	−	0.0109902i
$27$	−0.909632	+	0.415415i	−0.175059	+	0.0799467i
$28$	5.10936	+	1.34346i	0.965578	+	0.253889i
$29$	2.06655	−	4.52510i	0.383748	−	0.840290i	−0.614915	−	0.788593i	$-0.710810\pi$
$29$	2.06655	−	4.52510i	0.383748	−	0.840290i	0.998663	−	0.0516971i	$-0.0164630\pi$
$30$	−0.0601616	−	0.0521303i	−0.0109840	−	0.00951765i
$31$	−6.92521	−	0.995695i	−1.24380	−	0.178832i	−0.511185	−	0.859471i	$-0.670793\pi$
$31$	−6.92521	−	0.995695i	−1.24380	−	0.178832i	−0.732619	+	0.680639i	$0.761702\pi$
$32$	−0.650077	+	0.190880i	−0.114919	+	0.0337431i
$33$	3.20809	+	3.70234i	0.558458	+	0.644494i
$34$	−0.241155	+	0.154981i	−0.0413577	+	0.0265790i
$35$	−3.07289	+	2.10083i	−0.519414	+	0.355105i
$36$	−1.30763	−	1.50908i	−0.217938	−	0.251513i
$37$	−1.69673	−	5.77852i	−0.278940	−	0.949983i	−0.973143	−	0.230203i	$-0.926061\pi$
$37$	−1.69673	−	5.77852i	−0.278940	−	0.949983i	0.694202	−	0.719780i	$-0.255757\pi$
$38$	0.0437369	−	0.304197i	0.00709507	−	0.0493473i
$39$	−4.55745	+	5.25957i	−0.729776	+	0.842206i
$40$	0.132171	−	0.289414i	0.0208981	−	0.0457604i
$41$	−1.55515	+	5.29634i	−0.242873	+	0.827150i	0.744348	+	0.667792i	$0.232760\pi$
$41$	−1.55515	+	5.29634i	−0.242873	+	0.827150i	−0.987221	+	0.159358i	$0.949058\pi$
$42$	0.134345	−	0.0660395i	0.0207299	−	0.0101901i
$43$	4.87023	−	0.700234i	0.742704	−	0.106785i	0.239432	−	0.970913i	$-0.423039\pi$
$43$	4.87023	−	0.700234i	0.742704	−	0.106785i	0.503271	+	0.864128i	$0.332130\pi$
$44$	−5.28861	+	8.22923i	−0.797288	+	1.24060i
$45$	1.40693			0.209733
$46$	0.00624494	−	0.271280i	0.000920766	−	0.0399981i
$47$		−	1.42033i		−	0.207176i	−0.994620	−	0.103588i	$-0.966968\pi$
$47$		−	1.42033i		−	0.207176i	0.994620	−	0.103588i	$-0.0330323\pi$
$48$	2.15218	−	3.34886i	0.310641	−	0.483367i
$49$	−1.38903	−	6.86080i	−0.198433	−	0.980115i
$50$	−0.0709966	−	0.155461i	−0.0100404	−	0.0219855i
$51$	1.42737	−	4.86117i	0.199872	−	0.680701i
$52$	−12.6407	−	5.77284i	−1.75296	−	0.800548i
$53$	9.48338	+	8.21740i	1.30264	+	1.12875i	0.983474	+	0.181049i	$0.0579491\pi$
$53$	9.48338	+	8.21740i	1.30264	+	1.12875i	0.319169	+	0.947698i	$0.396596\pi$
$54$	−0.0560049	−	0.00805229i	−0.00762131	−	0.00109578i
$55$	−1.94181	−	6.61321i	−0.261834	−	0.891725i
$56$	0.404531	+	0.440837i	0.0540577	+	0.0589093i
$57$	2.93655	+	4.56936i	0.388956	+	0.605227i
$58$	0.236788	−	0.152174i	0.0310917	−	0.0199814i
$59$	4.73297	−	4.10114i	0.616181	−	0.533924i	−0.289885	−	0.957062i	$-0.593617\pi$
$59$	4.73297	−	4.10114i	0.616181	−	0.533924i	0.906065	+	0.423138i	$0.139071\pi$
$60$	0.791486	+	2.69556i	0.102180	+	0.347995i
$61$	0.654784	−	4.55412i	0.0838365	−	0.583096i	−0.903992	−	0.427549i	$-0.859377\pi$
$61$	0.654784	−	4.55412i	0.0838365	−	0.583096i	0.987829	−	0.155547i	$-0.0497139\pi$
$62$	−0.299174	−	0.259236i	−0.0379951	−	0.0329229i
$63$	−1.03011	+	2.43698i	−0.129781	+	0.307031i
$64$	7.60232	+	2.23224i	0.950290	+	0.279030i
$65$	8.90657	−	4.06750i	1.10472	−	0.504511i
$66$	0.0394474	+	0.274362i	0.00485563	+	0.0337717i
$67$	2.14755	−	3.34165i	0.262364	−	0.408247i	−0.684931	−	0.728608i	$-0.740168\pi$
$67$	2.14755	−	3.34165i	0.262364	−	0.408247i	0.947296	+	0.320361i	$0.103804\pi$
$68$	10.1166			1.22682
$69$	3.05636	+	3.69577i	0.367942	+	0.444918i
$70$	−0.210530	+	0.00599740i	−0.0251632	+	0.000716827i
$71$	4.34704	+	2.79367i	0.515899	+	0.331548i	0.772548	−	0.634957i	$-0.218982\pi$
$71$	4.34704	+	2.79367i	0.515899	+	0.331548i	−0.256649	+	0.966505i	$0.582618\pi$
$72$	−0.0321834	−	0.223840i	−0.00379285	−	0.0263798i
$73$	−2.71362	+	1.23927i	−0.317605	+	0.145045i	−0.567838	−	0.823140i	$-0.692220\pi$
$73$	−2.71362	+	1.23927i	−0.317605	+	0.145045i	0.250233	+	0.968186i	$0.419493\pi$
$74$	0.0960023	−	0.326954i	0.0111600	−	0.0380076i
$75$	2.74759	+	1.25478i	0.317264	+	0.144890i
$76$	−7.10251	+	8.19673i	−0.814714	+	0.940230i
$77$	12.8767	+	1.47851i	1.46743	+	0.168492i
$78$	−0.377819	+	0.110938i	−0.0427796	+	0.0125612i
$79$	−3.80573	+	3.29769i	−0.428178	+	0.371019i	−0.842125	−	0.539283i	$-0.818695\pi$
$79$	−3.80573	+	3.29769i	−0.428178	+	0.371019i	0.413947	+	0.910301i	$0.364150\pi$
$80$	−4.71161	+	3.02797i	−0.526774	+	0.338537i
$81$	0.841254	−	0.540641i	0.0934726	−	0.0600712i
$82$	−0.236038	+	0.204528i	−0.0260660	+	0.0225863i
$83$	−2.35211	+	0.690642i	−0.258178	+	0.0758078i	−0.408260	−	0.912866i	$-0.633864\pi$
$83$	−2.35211	+	0.690642i	−0.258178	+	0.0758078i	0.150082	+	0.988674i	$0.452046\pi$
$84$	−5.24855	−	0.602643i	−0.572664	−	0.0657537i
$85$	−4.66789	+	5.38703i	−0.506304	+	0.584306i
$86$	0.253238	+	0.115650i	0.0273073	+	0.0124708i
$87$	−1.40152	+	4.77314i	−0.150259	+	0.511735i
$88$	−1.00773	+	0.460216i	−0.107425	+	0.0490592i
$89$	2.06738	+	14.3789i	0.219141	+	1.52416i	0.741218	+	0.671264i	$0.234248\pi$
$89$	2.06738	+	14.3789i	0.219141	+	1.52416i	−0.522077	+	0.852898i	$0.674843\pi$
$90$	0.0669682	+	0.0430378i	0.00705907	+	0.00453659i
$91$	0.524318	+	18.4054i	0.0549634	+	1.92941i
$92$	−5.36138	+	7.93482i	−0.558962	+	0.827262i
$93$	6.99642			0.725495
$94$	0.0434477	−	0.0676059i	0.00448128	−	0.00697301i
$95$	−1.08755	−	7.56411i	−0.111581	−	0.776061i
$96$	0.616295	−	0.281453i	0.0629004	−	0.0287256i
$97$	−7.20245	−	2.11483i	−0.731298	−	0.214728i	−0.105176	−	0.994454i	$-0.533541\pi$
$97$	−7.20245	−	2.11483i	−0.731298	−	0.214728i	−0.626122	+	0.779725i	$0.715359\pi$
$98$	0.143755	−	0.369056i	0.0145215	−	0.0372803i
$99$	−3.70234	−	3.20809i	−0.372099	−	0.322426i
$100$	−0.858362	+	5.97004i	−0.0858362	+	0.597004i
$101$	0.0261068	+	0.0889116i	0.00259772	+	0.00884704i	0.960782	−	0.277306i	$-0.0894416\pi$
$101$	0.0261068	+	0.0889116i	0.00259772	+	0.00884704i	−0.958184	+	0.286153i	$0.907623\pi$
$102$	0.216644	−	0.187723i	0.0214510	−	0.0185874i
$103$	2.21636	−	1.42437i	0.218384	−	0.140347i	−0.426875	−	0.904311i	$-0.640386\pi$
$103$	2.21636	−	1.42437i	0.218384	−	0.140347i	0.645259	+	0.763963i	$0.276749\pi$
$104$	−0.850870	−	1.32398i	−0.0834347	−	0.129827i
$105$	2.74264	−	2.51676i	0.267654	−	0.245611i
$106$	0.200028	+	0.681234i	0.0194285	+	0.0661673i
$107$	14.7823	+	2.12538i	1.42906	+	0.205468i	0.813016	−	0.582242i	$-0.197824\pi$
$107$	14.7823	+	2.12538i	1.42906	+	0.205468i	0.616047	+	0.787710i	$0.288733\pi$
$108$	1.50908	+	1.30763i	0.145211	+	0.125826i
$109$	3.27957	+	1.49773i	0.314126	+	0.143457i	0.566239	−	0.824241i	$-0.308398\pi$
$109$	3.27957	+	1.49773i	0.314126	+	0.143457i	−0.252112	+	0.967698i	$0.581125\pi$
$110$	0.109869	−	0.374181i	0.0104756	−	0.0356768i
$111$	2.50183	+	5.47824i	0.237463	+	0.519971i
$112$	−1.79514	−	10.3781i	−0.169625	−	0.980638i
$113$	−6.71818	+	10.4537i	−0.631993	+	0.983400i	0.366600	+	0.930379i	$0.380522\pi$
$113$	−6.71818	+	10.4537i	−0.631993	+	0.983400i	−0.998593	+	0.0530219i	$0.983115\pi$
$114$			0.307325i			0.0287836i
$115$	−1.75146	−	6.51611i	−0.163325	−	0.607631i
$116$	−9.93338			−0.922291
$117$	3.76254	−	5.85463i	0.347847	−	0.541261i
$118$	0.350738	−	0.0504285i	0.0322880	−	0.00464232i
$119$	−5.91335	−	12.0296i	−0.542076	−	1.10275i
$120$	−0.0896377	+	0.305278i	−0.00818277	+	0.0278680i
$121$	−5.40006	+	11.8245i	−0.490914	+	1.07495i
$122$	0.170477	−	0.196741i	0.0154343	−	0.0178121i
$123$	0.785569	−	5.46375i	0.0708324	−	0.492650i
$124$	3.93593	+	13.4045i	0.353457	+	1.20376i
$125$	−7.38967	−	8.52814i	−0.660953	−	0.762780i
$126$	−0.123579	+	0.0844865i	−0.0110093	+	0.00752666i
$127$	12.1884	−	7.83304i	1.08155	−	0.695070i	0.126635	−	0.991949i	$-0.459582\pi$
$127$	12.1884	−	7.83304i	1.08155	−	0.695070i	0.954915	+	0.296880i	$0.0959460\pi$
$128$	1.18094	+	1.36288i	0.104382	+	0.120463i
$129$	−4.72101	+	1.38621i	−0.415662	+	0.122049i
$130$	0.548367	+	0.0788432i	0.0480950	+	0.00691501i
$131$	4.06816	+	3.52508i	0.355437	+	0.307988i	0.814215	−	0.580563i	$-0.197167\pi$
$131$	4.06816	+	3.52508i	0.355437	+	0.307988i	−0.458779	+	0.888551i	$0.651713\pi$
$132$	4.06364	−	8.89812i	0.353694	−	0.774482i
$133$	13.8983	+	3.65441i	1.20513	+	0.316878i
$134$	0.204441	−	0.0933652i	0.0176610	−	0.00806553i
$135$	−1.39261	+	0.200227i	−0.119857	+	0.0172328i
$136$	0.963847	+	0.619427i	0.0826492	+	0.0531154i
$137$			8.00576i			0.683978i	0.939704	+	0.341989i	$0.111101\pi$
$137$			8.00576i			0.683978i	−0.939704	+	0.341989i	$0.888899\pi$
$138$	0.0324258	+	0.269408i	0.00276027	+	0.0229335i
$139$			2.51221i			0.213083i	0.994308	+	0.106541i	$0.0339777\pi$
$139$			2.51221i			0.213083i	−0.994308	+	0.106541i	$0.966022\pi$
$140$	6.36481	+	3.83882i	0.537924	+	0.324439i
$141$	0.202133	+	1.40587i	0.0170227	+	0.118396i
$142$	0.121456	+	0.265951i	0.0101923	+	0.0223181i
$143$	−32.7124	−	9.60524i	−2.73555	−	0.803230i
$144$	−1.65368	+	3.62106i	−0.137807	+	0.301755i
$145$	4.58336	−	5.28948i	0.380627	−	0.439267i
$146$	−0.167074	−	0.0240216i	−0.0138272	−	0.00198804i
$147$	2.35128	+	6.59329i	0.193931	+	0.543805i
$148$	−9.08839	+	7.87514i	−0.747061	+	0.647332i
$149$	0.504008	+	0.784251i	0.0412899	+	0.0642484i	0.861285	−	0.508122i	$-0.169660\pi$
$149$	0.504008	+	0.784251i	0.0412899	+	0.0642484i	−0.819995	+	0.572371i	$0.806024\pi$
$150$	0.0923984	+	0.143775i	0.00754430	+	0.0117392i
$151$	−0.128273	−	0.148035i	−0.0104387	−	0.0120469i	0.750506	−	0.660863i	$-0.229810\pi$
$151$	−0.128273	−	0.148035i	−0.0104387	−	0.0120469i	−0.760945	+	0.648816i	$0.775264\pi$
$152$	−1.17856	+	0.346057i	−0.0955939	+	0.0280689i
$153$	−0.721024	+	5.01483i	−0.0582913	+	0.405425i
$154$	0.567686	+	0.464271i	0.0457455	+	0.0374120i
$155$	−8.95394	−	4.08913i	−0.719198	−	0.328447i
$156$	13.3336	+	3.91511i	1.06755	+	0.313460i
$157$	−1.98163	−	4.33915i	−0.158151	−	0.346302i	0.813925	−	0.580971i	$-0.197327\pi$
$157$	−1.98163	−	4.33915i	−0.158151	−	0.346302i	−0.972075	+	0.234668i	$0.924600\pi$
$158$	−0.282024	+	0.0405490i	−0.0224367	+	0.00322590i
$159$	−10.5563	−	6.78413i	−0.837170	−	0.538017i
$160$	−0.953225			−0.0753590
$161$	12.5691	+	1.73713i	0.990584	+	0.136905i
$162$	0.0565808			0.00444541
$163$	−9.63267	−	6.19054i	−0.754489	−	0.484881i	0.105989	−	0.994367i	$-0.466199\pi$
$163$	−9.63267	−	6.19054i	−0.754489	−	0.484881i	−0.860479	+	0.509487i	$0.829835\pi$
$164$	10.9100	−	1.56862i	0.851929	−	0.122489i
$165$	2.86321	+	6.26955i	0.222900	+	0.488084i
$166$	−0.133084	−	0.0390771i	−0.0103294	−	0.00303297i
$167$	11.7877	+	5.38326i	0.912160	+	0.416570i	0.815506	−	0.578749i	$-0.196459\pi$
$167$	11.7877	+	5.38326i	0.912160	+	0.416570i	0.0966540	+	0.995318i	$0.469186\pi$
$168$	−0.463151	−	0.378779i	−0.0357329	−	0.0292234i
$169$	5.04271	−	35.0728i	0.387900	−	2.69791i
$170$	−0.386975	+	0.113626i	−0.0296796	+	0.00871472i
$171$	−3.55695	−	4.10494i	−0.272007	−	0.313912i
$172$	−5.31173	−	8.26522i	−0.405016	−	0.630217i
$173$	−7.64426	−	11.8947i	−0.581182	−	0.904337i	0.418811	−	0.908073i	$-0.362447\pi$
$173$	−7.64426	−	11.8947i	−0.581182	−	0.904337i	−0.999993	+	0.00373646i	$0.998811\pi$
$174$	−0.212721	+	0.184324i	−0.0161263	+	0.0139735i
$175$	7.60069	−	2.46894i	0.574558	−	0.186634i
$176$	19.3030	+	2.77536i	1.45502	+	0.209200i
$177$	−4.10114	+	4.73297i	−0.308261	+	0.355752i
$178$	−0.341445	+	0.747661i	−0.0255924	+	0.0560395i
$179$	−4.46250	−	1.31031i	−0.333543	−	0.0979370i	0.110673	−	0.993857i	$-0.464699\pi$
$179$	−4.46250	−	1.31031i	−0.333543	−	0.0979370i	−0.444216	+	0.895920i	$0.646518\pi$
$180$	−1.16705	−	2.55548i	−0.0869866	−	0.190474i
$181$	−1.76219	−	12.2563i	−0.130983	−	0.911005i	−0.944277	−	0.329152i	$-0.893237\pi$
$181$	−1.76219	−	12.2563i	−0.130983	−	0.911005i	0.813294	−	0.581853i	$-0.197672\pi$
$182$	−0.538063	+	0.892115i	−0.0398839	+	0.0661280i
$183$			4.60095i			0.340112i
$184$	−0.996640	+	0.427711i	−0.0734733	+	0.0315313i
$185$		−	8.47319i		−	0.622962i
$186$	0.333022	+	0.214020i	0.0244183	+	0.0156927i
$187$	24.5671	−	3.53222i	1.79653	−	0.258302i
$188$	−2.57981	+	1.17816i	−0.188152	+	0.0859262i
$189$	0.672804	−	2.55878i	0.0489393	−	0.186124i
$190$	0.179619	−	0.393311i	0.0130309	−	0.0285338i
$191$	3.33300	+	2.88806i	0.241167	+	0.208973i	0.767055	−	0.641581i	$-0.221721\pi$
$191$	3.33300	+	2.88806i	0.241167	+	0.208973i	−0.525888	+	0.850554i	$0.676267\pi$
$192$	−7.84262	−	1.12760i	−0.565992	−	0.0813774i
$193$	20.6045	−	6.05003i	1.48314	−	0.435491i	0.562798	−	0.826594i	$-0.309725\pi$
$193$	20.6045	−	6.05003i	1.48314	−	0.435491i	0.920347	+	0.391104i	$0.127907\pi$
$194$	−0.278136	−	0.320986i	−0.0199690	−	0.0230454i
$195$	−8.23705	+	5.29363i	−0.589868	+	0.379085i
$196$	−11.3094	+	8.21400i	−0.807816	+	0.586714i
$197$	−17.0842	−	19.7162i	−1.21720	−	1.40472i	−0.887610	−	0.460596i	$-0.847636\pi$
$197$	−17.0842	−	19.7162i	−1.21720	−	1.40472i	−0.329587	−	0.944125i	$-0.606910\pi$
$198$	−0.0780917	−	0.265956i	−0.00554973	−	0.0189007i
$199$	−1.04774	+	7.28718i	−0.0742722	+	0.516574i	0.918392	+	0.395671i	$0.129488\pi$
$199$	−1.04774	+	7.28718i	−0.0742722	+	0.516574i	−0.992664	+	0.120903i	$0.961421\pi$
$200$	−0.447318	+	0.516233i	−0.0316302	+	0.0365032i
$201$	−1.65012	+	3.61326i	−0.116391	+	0.254860i
$202$	−0.00147715	+	0.00503069i	−0.000103932	+	0.000353958i
$203$	5.80627	+	11.8117i	0.407520	+	0.829022i
$204$	−10.0136	+	1.43974i	−0.701093	+	0.100802i
$205$	−4.19870	+	6.53331i	−0.293250	+	0.456306i
$206$	0.149067			0.0103860
$207$	−3.55121	−	3.22318i	−0.246826	−	0.224027i
$208$			27.7041i			1.92093i
$209$	−14.3859	+	22.3848i	−0.995091	+	1.54839i
$210$	0.207534	−	0.0358979i	0.0143212	−	0.00247719i
$211$	5.24009	+	11.4742i	0.360742	+	0.789916i	0.999785	+	0.0207441i	$0.00660352\pi$
$211$	5.24009	+	11.4742i	0.360742	+	0.789916i	−0.639042	+	0.769171i	$0.720669\pi$
$212$	7.05922	−	24.0415i	0.484829	−	1.65118i
$213$	−4.70038	−	2.14659i	−0.322064	−	0.147082i
$214$	0.638607	+	0.553356i	0.0436543	+	0.0378266i
$215$	6.85207	+	0.985179i	0.467308	+	0.0671887i
$216$	0.0637116	+	0.216982i	0.00433503	+	0.0147637i
$217$	13.6387	−	12.5154i	0.925854	−	0.849603i
$218$	0.110288	+	0.171612i	0.00746968	+	0.0116230i
$219$	2.50963	−	1.61284i	0.169585	−	0.108986i
$220$	−10.4012	+	9.01267i	−0.701247	+	0.607634i
$221$	9.93366	+	33.8309i	0.668210	+	2.27571i
$222$	−0.0484947	+	0.337288i	−0.00325475	+	0.0226373i
$223$	9.94344	+	8.61604i	0.665862	+	0.576973i	0.920824	−	0.389978i	$-0.127518\pi$
$223$	9.94344	+	8.61604i	0.665862	+	0.576973i	−0.254962	+	0.966951i	$0.582063\pi$
$224$	0.697920	−	1.65111i	0.0466318	−	0.110319i
$225$	−2.89820	−	0.850988i	−0.193213	−	0.0567325i
$226$	−0.639555	+	0.292075i	−0.0425426	+	0.0194285i
$227$	0.438918	+	3.05274i	0.0291320	+	0.202618i	0.999189	−	0.0402586i	$-0.0128182\pi$
$227$	0.438918	+	3.05274i	0.0291320	+	0.202618i	−0.970057	+	0.242876i	$0.921909\pi$
$228$	5.86370	−	9.12410i	0.388333	−	0.604258i
$229$	7.24870			0.479008			0.239504	−	0.970895i	$-0.423015\pi$
$229$	7.24870			0.479008			0.239504	+	0.970895i	$0.423015\pi$
$230$	0.115960	−	0.363736i	0.00764616	−	0.0239841i
$231$	−12.9560	+	0.369080i	−0.852443	+	0.0242837i
$232$	−0.946393	−	0.608210i	−0.0621337	−	0.0399309i
$233$	−3.67986	−	25.5940i	−0.241075	−	1.67672i	−0.646753	−	0.762700i	$-0.723873\pi$
$233$	−3.67986	−	25.5940i	−0.241075	−	1.67672i	0.405677	−	0.914016i	$-0.367036\pi$
$234$	0.358185	−	0.163578i	0.0234153	−	0.0106934i
$235$	0.562986	−	1.91735i	0.0367251	−	0.125074i
$236$	−11.3751	−	5.19484i	−0.740457	−	0.338156i
$237$	3.29769	−	3.80573i	0.214208	−	0.247209i
$238$	0.0865156	−	0.753483i	0.00560797	−	0.0488411i
$239$	−19.1851	+	5.63325i	−1.24098	+	0.364384i	−0.835383	−	0.549668i	$-0.814754\pi$
$239$	−19.1851	+	5.63325i	−1.24098	+	0.364384i	−0.405596	+	0.914052i	$0.632936\pi$
$240$	4.23273	−	3.66768i	0.273222	−	0.236748i
$241$	9.63447	−	6.19169i	0.620610	−	0.398842i	−0.192212	−	0.981353i	$-0.561566\pi$
$241$	9.63447	−	6.19169i	0.620610	−	0.398842i	0.812823	+	0.582511i	$0.197930\pi$
$242$	−0.618746	+	0.397644i	−0.0397745	+	0.0255615i
$243$	−0.755750	+	0.654861i	−0.0484814	+	0.0420093i
$244$	−8.81503	+	2.58833i	−0.564325	+	0.165701i
$245$	0.844365	−	9.81224i	0.0539445	−	0.626881i
$246$	0.204528	−	0.236038i	0.0130402	−	0.0150492i
$247$	−34.3848	−	15.7030i	−2.18786	−	0.999160i
$248$	−0.445754	+	1.51810i	−0.0283054	+	0.0963993i
$249$	2.22988	−	1.01835i	0.141313	−	0.0645355i
$250$	−0.0908649	−	0.631979i	−0.00574680	−	0.0399699i
$251$	0.966329	+	0.621022i	0.0609942	+	0.0391986i	0.570783	−	0.821101i	$-0.306640\pi$
$251$	0.966329	+	0.621022i	0.0609942	+	0.0391986i	−0.509788	+	0.860300i	$0.670276\pi$
$252$	5.28089	−	0.150437i	0.332665	−	0.00947667i
$253$	−10.2491	+	21.1409i	−0.644357	+	1.32912i
$254$	0.819768			0.0514368
$255$	3.85372	−	5.99651i	0.241329	−	0.375516i
$256$	−2.24068	−	15.5842i	−0.140042	−	0.974015i
$257$	23.0002	−	10.5039i	1.43472	−	0.655212i	0.461929	−	0.886917i	$-0.347158\pi$
$257$	23.0002	−	10.5039i	1.43472	−	0.655212i	0.972786	+	0.231705i	$0.0744303\pi$
$258$	−0.267119	−	0.0784331i	−0.0166301	−	0.00488303i
$259$	14.6767	+	6.20380i	0.911963	+	0.385485i
$260$	−14.7760	−	12.8035i	−0.916369	−	0.794038i
$261$	0.707967	−	4.92402i	0.0438220	−	0.304789i
$262$	0.0858077	+	0.292234i	0.00530122	+	0.0180543i
$263$	−0.295506	+	0.256057i	−0.0182217	+	0.0157892i	−0.663924	−	0.747800i	$-0.731110\pi$
$263$	−0.295506	+	0.256057i	−0.0182217	+	0.0157892i	0.645702	+	0.763589i	$0.276565\pi$
$264$	0.931981	−	0.598948i	0.0573594	−	0.0368627i
$265$	9.54479	+	14.8520i	0.586332	+	0.912350i
$266$	0.549754	+	0.599093i	0.0337076	+	0.0367327i
$267$	−4.09267	−	13.9383i	−0.250467	−	0.853013i
$268$	−7.85099	−	1.12880i	−0.479576	−	0.0689526i
$269$	−20.0309	−	17.3569i	−1.22131	−	1.05827i	−0.996477	−	0.0838705i	$-0.973272\pi$
$269$	−20.0309	−	17.3569i	−1.22131	−	1.05827i	−0.224830	−	0.974398i	$-0.572183\pi$
$270$	−0.0724115	−	0.0330692i	−0.00440682	−	0.00201253i
$271$	1.02205	−	3.48078i	0.0620851	−	0.211442i	−0.922608	−	0.385738i	$-0.873947\pi$
$271$	1.02205	−	3.48078i	0.0620851	−	0.211442i	0.984693	+	0.174296i	$0.0557649\pi$
$272$	−8.37823	−	18.3458i	−0.508005	−	1.11237i
$273$	−3.13834	−	18.1435i	−0.189941	−	1.09809i
$274$	−0.244895	+	0.381065i	−0.0147947	+	0.0230210i
$275$			14.7974i			0.892315i
$276$	4.17756	−	8.61706i	0.251460	−	0.518686i
$277$	−5.81937			−0.349652			−0.174826	−	0.984599i	$-0.555936\pi$
$277$	−5.81937			−0.349652			−0.174826	+	0.984599i	$0.555936\pi$
$278$	−0.0768483	+	0.119578i	−0.00460905	+	0.00717183i
$279$	−6.92521	+	0.995695i	−0.414602	+	0.0596107i
$280$	0.371354	+	0.755449i	0.0221926	+	0.0451467i
$281$	−1.19587	+	4.07275i	−0.0713394	+	0.242960i	−0.987441	−	0.157985i	$-0.949500\pi$
$281$	−1.19587	+	4.07275i	−0.0713394	+	0.242960i	0.916102	+	0.400945i	$0.131318\pi$
$282$	−0.0333841	+	0.0731010i	−0.00198799	+	0.00435310i
$283$	3.90487	−	4.50646i	0.232121	−	0.267881i	−0.627726	−	0.778435i	$-0.716014\pi$
$283$	3.90487	−	4.50646i	0.232121	−	0.267881i	0.859846	+	0.510553i	$0.170559\pi$
$284$	1.46842	−	10.2131i	0.0871349	−	0.606037i
$285$	2.15297	+	7.33234i	0.127531	+	0.434330i
$286$	−1.26325	−	1.45787i	−0.0746975	−	0.0862056i
$287$	−8.24238	−	12.0562i	−0.486532	−	0.711653i
$288$	−0.569967	+	0.366296i	−0.0335857	+	0.0215842i
$289$	−5.67659	−	6.55114i	−0.333917	−	0.385361i
$290$	0.379967	−	0.111568i	0.0223124	−	0.00655152i
$291$	7.43011	+	1.06829i	0.435561	+	0.0626242i
$292$	4.50189	+	3.90091i	0.263453	+	0.228284i
$293$	−8.87563	+	19.4349i	−0.518520	+	1.13540i	0.451477	+	0.892283i	$0.350897\pi$
$293$	−8.87563	+	19.4349i	−0.518520	+	1.13540i	−0.969997	+	0.243117i	$0.921830\pi$
$294$	−0.0897698	+	0.385758i	−0.00523548	+	0.0224979i
$295$	8.01482	−	3.66025i	0.466641	−	0.213108i
$296$	−1.34807	+	0.193824i	−0.0783552	+	0.0112658i
$297$	4.12121	+	2.64854i	0.239137	+	0.153684i
$298$			0.0527470i			0.00305555i
$299$	−31.7993	−	10.1377i	−1.83900	−	0.586277i
$300$		−	6.03143i		−	0.348225i
$301$	−6.72332	+	11.1474i	−0.387526	+	0.642523i
$302$	−0.00157727	−	0.0109702i	−9.07619e−5	−	0.000631263i
$303$	−0.0384945	−	0.0842912i	−0.00221145	−	0.00484241i
$304$	20.7463	+	6.09167i	1.18988	+	0.349381i
$305$	2.68907	−	5.88824i	0.153976	−	0.337160i
$306$	−0.187723	+	0.216644i	−0.0107314	+	0.0123847i
$307$	−14.9964	−	2.15615i	−0.855888	−	0.123058i	−0.299617	−	0.954059i	$-0.596859\pi$
$307$	−14.9964	−	2.15615i	−0.855888	−	0.123058i	−0.556270	+	0.831001i	$0.687768\pi$
$308$	−7.99570	−	24.6150i	−0.455597	−	1.40257i
$309$	−1.99109	+	1.72529i	−0.113269	+	0.0981483i
$310$	−0.301111	−	0.468538i	−0.0171020	−	0.0266112i
$311$	8.20758	+	12.7712i	0.465409	+	0.724191i	0.992043	−	0.125901i	$-0.0401823\pi$
$311$	8.20758	+	12.7712i	0.465409	+	0.724191i	−0.526633	+	0.850092i	$0.676546\pi$
$312$	1.03063	+	1.18941i	0.0583480	+	0.0673372i
$313$	−16.7901	+	4.93001i	−0.949030	+	0.278660i	−0.719383	−	0.694614i	$-0.755575\pi$
$313$	−16.7901	+	4.93001i	−0.949030	+	0.278660i	−0.229647	+	0.973274i	$0.573757\pi$
$314$	0.0384113	−	0.267156i	0.00216767	−	0.0150765i
$315$	−2.35655	+	2.88146i	−0.132776	+	0.162352i
$316$	9.14661	+	4.17712i	0.514537	+	0.234981i
$317$	24.2862	+	7.13106i	1.36405	+	0.400521i	0.880188	−	0.474625i	$-0.157416\pi$
$317$	24.2862	+	7.13106i	1.36405	+	0.400521i	0.483860	+	0.875146i	$0.339235\pi$
$318$	−0.294942	−	0.645833i	−0.0165395	−	0.0362165i
$319$	−24.1223	+	3.46826i	−1.35059	+	0.194185i
$320$	9.37785	+	6.02678i	0.524238	+	0.336907i
$321$	−14.9343			−0.833554
$322$	0.545136	+	0.467173i	0.0303792	+	0.0260345i
$323$	27.5187			1.53118
$324$	−1.67981	−	1.07955i	−0.0933230	−	0.0599750i
$325$	−20.8073	+	2.99164i	−1.15418	+	0.165946i
$326$	−0.269136	−	0.589325i	−0.0149061	−	0.0326397i
$327$	−3.45934	−	1.01575i	−0.191302	−	0.0561714i
$328$	1.13549	+	0.518559i	0.0626967	+	0.0286326i
$329$	2.90890	+	2.37899i	0.160373	+	0.131158i
$330$	−0.0554996	+	0.386008i	−0.00305515	+	0.0212491i
$331$	−11.9778	+	3.51699i	−0.658358	+	0.193311i	−0.593813	−	0.804603i	$-0.702378\pi$
$331$	−11.9778	+	3.51699i	−0.658358	+	0.193311i	−0.0645454	+	0.997915i	$0.520560\pi$
$332$	3.20553	+	3.69937i	0.175926	+	0.203030i
$333$	−3.25600	−	5.06643i	−0.178427	−	0.277639i
$334$	0.396407	+	0.616822i	0.0216905	+	0.0337510i
$335$	4.22361	−	3.65978i	0.230760	−	0.199955i
$336$	3.25383	+	10.0170i	0.177511	+	0.546472i
$337$	30.0516	+	4.32076i	1.63701	+	0.235367i	0.898532	−	0.438907i	$-0.144634\pi$
$337$	30.0516	+	4.32076i	1.63701	+	0.235367i	0.738481	+	0.674274i	$0.235543\pi$
$338$	1.31290	−	1.51517i	0.0714124	−	0.0824143i
$339$	5.16208	−	11.3034i	0.280366	−	0.613915i
$340$	13.6568	+	4.00999i	0.740642	+	0.217472i
$341$	14.2382	+	31.1774i	0.771044	+	1.68835i
$342$	−0.0437369	−	0.304197i	−0.00236502	−	0.0164491i
$343$	16.3778	+	8.64675i	0.884320	+	0.466881i
$344$		−	1.11269i		−	0.0599923i
$345$	2.66097	+	6.20053i	0.143262	+	0.333825i
$346$		−	0.800011i		−	0.0430088i
$347$	−25.0146	−	16.0759i	−1.34285	−	0.863000i	−0.345697	−	0.938346i	$-0.612358\pi$
$347$	−25.0146	−	16.0759i	−1.34285	−	0.863000i	−0.997157	+	0.0753459i	$0.975994\pi$
$348$	9.83227	−	1.41367i	0.527065	−	0.0757805i
$349$	5.00591	−	2.28612i	0.267960	−	0.122373i	−0.276904	−	0.960898i	$-0.589308\pi$
$349$	5.00591	−	2.28612i	0.267960	−	0.122373i	0.544864	+	0.838524i	$0.316581\pi$
$350$	0.437308	+	0.114986i	0.0233751	+	0.00614625i
$351$	−2.89105	+	6.33051i	−0.154313	+	0.337897i
$352$	2.50841	+	2.17355i	0.133699	+	0.115851i
$353$	14.9420	+	2.14833i	0.795281	+	0.114344i	0.527966	−	0.849265i	$-0.322955\pi$
$353$	14.9420	+	2.14833i	0.795281	+	0.114344i	0.267314	+	0.963609i	$0.413864\pi$
$354$	−0.339991	+	0.0998303i	−0.0180703	+	0.00530592i
$355$	4.76089	+	5.49436i	0.252682	+	0.291610i
$356$	24.4023	−	15.6824i	1.29332	−	0.831166i
$357$	7.56515	+	11.0656i	0.400390	+	0.585653i
$358$	−0.172327	−	0.198876i	−0.00910779	−	0.0105109i
$359$	5.41046	+	18.4263i	0.285553	+	0.972505i	0.969932	+	0.243378i	$0.0782554\pi$
$359$	5.41046	+	18.4263i	0.285553	+	0.972505i	−0.684378	+	0.729127i	$0.739926\pi$
$360$	0.0452798	−	0.314928i	0.00238645	−	0.0165981i
$361$	−6.87761	+	7.93718i	−0.361979	+	0.417746i
$362$	0.291041	−	0.637292i	0.0152968	−	0.0334953i
$363$	3.66229	−	12.4726i	0.192221	−	0.654643i
$364$	32.9958	−	16.2196i	1.72945	−	0.850140i
$365$	−4.15444	+	0.597318i	−0.217453	+	0.0312650i
$366$	−0.140743	+	0.219000i	−0.00735674	+	0.0114473i
$367$	−22.2547			−1.16168			−0.580842	−	0.814016i	$-0.697277\pi$
$367$	−22.2547			−1.16168			−0.580842	+	0.814016i	$0.697277\pi$
$368$	18.8294	+	3.15115i	0.981550	+	0.164265i
$369$			5.51994i			0.287357i
$370$	0.259194	−	0.403314i	0.0134749	−	0.0209673i
$371$	−32.7139	+	5.65866i	−1.69842	+	0.293783i
$372$	−5.80353	−	12.7080i	−0.300899	−	0.658877i
$373$	−0.102307	+	0.348425i	−0.00529724	+	0.0180408i	−0.962099	−	0.272700i	$-0.912083\pi$
$373$	−0.102307	+	0.348425i	−0.00529724	+	0.0180408i	0.956802	+	0.290740i	$0.0939016\pi$
$374$	1.27742	+	0.583377i	0.0660537	+	0.0301657i
$375$	8.52814	+	7.38967i	0.440391	+	0.381601i
$376$	−0.317926	−	0.0457109i	−0.0163958	−	0.00235736i
$377$	−9.75377	−	33.2183i	−0.502345	−	1.71083i
$378$	0.110297	−	0.101214i	0.00567309	−	0.00520587i
$379$	−13.0631	−	20.3266i	−0.671008	−	1.04411i	−0.995176	−	0.0981089i	$-0.968721\pi$
$379$	−13.0631	−	20.3266i	−0.671008	−	1.04411i	0.324168	−	0.946000i	$-0.394916\pi$
$380$	−12.8370	+	8.24981i	−0.658522	+	0.423206i
$381$	−10.9496	+	9.48791i	−0.560966	+	0.486080i
$382$	0.0703014	+	0.239425i	0.00359693	+	0.0122500i
$383$	3.64663	−	25.3628i	0.186334	−	1.29598i	−0.655068	−	0.755570i	$-0.727360\pi$
$383$	3.64663	−	25.3628i	0.186334	−	1.29598i	0.841401	−	0.540411i	$-0.181731\pi$
$384$	−1.36288	−	1.18094i	−0.0695492	−	0.0602647i
$385$	16.7966	+	7.09992i	0.856036	+	0.361845i
$386$	1.16582	+	0.342316i	0.0593387	+	0.0174234i
$387$	4.47568	−	2.04397i	0.227511	−	0.103901i
$388$	2.13316	+	14.8364i	0.108295	+	0.753206i
$389$	15.3479	−	23.8817i	0.778168	−	1.21085i	−0.195011	−	0.980801i	$-0.562474\pi$
$389$	15.3479	−	23.8817i	0.778168	−	1.21085i	0.973178	−	0.230051i	$-0.0738894\pi$
$390$	−0.554006			−0.0280532
$391$	24.1235	−	2.90350i	1.21998	−	0.146836i
$392$	−1.58043	+	0.0901169i	−0.0798237	+	0.00455159i
$393$	−4.52842	−	2.91024i	−0.228429	−	0.146802i
$394$	−0.210070	−	1.46107i	−0.0105832	−	0.0736077i
$395$	−6.44463	+	2.94317i	−0.324265	+	0.148087i
$396$	−2.75594	+	9.38587i	−0.138491	+	0.471657i
$397$	−14.1990	−	6.48446i	−0.712627	−	0.325446i	0.0259052	−	0.999664i	$-0.491753\pi$
$397$	−14.1990	−	6.48446i	−0.712627	−	0.325446i	−0.738532	+	0.674219i	$0.764480\pi$
$398$	−0.272785	+	0.314811i	−0.0136735	+	0.0157800i
$399$	−14.2769	−	1.63928i	−0.714738	−	0.0820669i
$400$	11.5371	−	3.38761i	0.576857	−	0.169381i
$401$	−16.9452	+	14.6831i	−0.846205	+	0.733241i	−0.965718	−	0.259592i	$-0.916412\pi$
$401$	−16.9452	+	14.6831i	−0.846205	+	0.733241i	0.119514	+	0.992833i	$0.461867\pi$
$402$	−0.189073	+	0.121510i	−0.00943011	+	0.00606036i
$403$	−40.9615	+	26.3244i	−2.04044	+	1.31131i
$404$	0.139839	−	0.121171i	0.00695726	−	0.00602850i
$405$	1.34994	−	0.396378i	0.0670790	−	0.0196962i
$406$	−0.0849489	+	0.739839i	−0.00421594	+	0.0367176i
$407$	−19.3207	+	22.2972i	−0.957690	+	1.10523i
$408$	−1.04219	−	0.475952i	−0.0515961	−	0.0235631i
$409$	−1.48966	+	5.07330i	−0.0736588	+	0.250859i	−0.988089	−	0.153886i	$-0.950821\pi$
$409$	−1.48966	+	5.07330i	−0.0736588	+	0.250859i	0.914430	+	0.404744i	$0.132639\pi$
$410$	−0.399707	+	0.182540i	−0.0197401	+	0.00901501i
$411$	−1.13934	−	7.92427i	−0.0561994	−	0.390875i
$412$	−4.42562	−	2.84417i	−0.218035	−	0.140122i
$413$	0.471822	+	16.5626i	0.0232168	+	0.814993i
$414$	−0.0704365	−	0.262051i	−0.00346177	−	0.0128791i
$415$	−3.44896			−0.169303
$416$	−2.54920	+	3.96664i	−0.124985	+	0.194481i
$417$	−0.357525	−	2.48664i	−0.0175081	−	0.121771i
$418$	−1.36950	+	0.625430i	−0.0669844	+	0.0305908i
$419$	29.2005	+	8.57405i	1.42654	+	0.418870i	0.901712	−	0.432338i	$-0.142311\pi$
$419$	29.2005	+	8.57405i	1.42654	+	0.418870i	0.524828	+	0.851208i	$0.324129\pi$
$420$	−6.84634	−	2.89394i	−0.334067	−	0.141210i
$421$	21.5132	+	18.6413i	1.04849	+	0.908523i	0.995933	−	0.0900949i	$-0.0287170\pi$
$421$	21.5132	+	18.6413i	1.04849	+	0.908523i	0.0525582	+	0.998618i	$0.483262\pi$
$422$	−0.101572	+	0.706452i	−0.00494447	+	0.0343895i
$423$	−0.400152	−	1.36279i	−0.0194561	−	0.0662613i
$424$	2.14459	−	1.85830i	0.104151	−	0.0902471i
$425$	12.8740	−	8.27360i	0.624479	−	0.401328i
$426$	−0.158068	−	0.245959i	−0.00765844	−	0.0119168i
$427$	8.23034	+	8.96900i	0.398294	+	0.434040i
$428$	−8.40151	−	28.6129i	−0.406102	−	1.38306i
$429$	33.7464	+	4.85200i	1.62929	+	0.234257i
$430$	0.296014	+	0.256498i	0.0142751	+	0.0123694i
$431$	18.5975	+	8.49321i	0.895812	+	0.409103i	0.809469	−	0.587162i	$-0.199755\pi$
$431$	18.5975	+	8.49321i	0.895812	+	0.409103i	0.0863422	+	0.996266i	$0.472482\pi$
$432$	1.12152	−	3.81955i	0.0539592	−	0.183768i
$433$	13.8669	+	30.3643i	0.666402	+	1.45922i	0.876434	+	0.481523i	$0.159916\pi$
$433$	13.8669	+	30.3643i	0.666402	+	1.45922i	−0.210031	+	0.977695i	$0.567357\pi$
$434$	1.03203	−	0.178514i	0.0495391	−	0.00856897i
$435$	−3.78394	+	5.88792i	−0.181426	+	0.282304i
$436$		−	7.19923i		−	0.344781i
$437$	−14.5838	+	21.5840i	−0.697638	+	1.03250i
$438$	0.168792			0.00806520
$439$	18.6956	−	29.0909i	0.892292	−	1.38843i	−0.0290071	−	0.999579i	$-0.509235\pi$
$439$	18.6956	−	29.0909i	0.892292	−	1.38843i	0.921299	−	0.388854i	$-0.127129\pi$
$440$	−1.54280	+	0.221821i	−0.0735500	+	0.0105749i
$441$	−3.26567	−	6.19156i	−0.155508	−	0.294836i
$442$	−0.562055	+	1.91418i	−0.0267342	+	0.0910484i
$443$	−6.92402	+	15.1615i	−0.328970	+	0.720344i	−0.999773	−	0.0212912i	$-0.993222\pi$
$443$	−6.92402	+	15.1615i	−0.328970	+	0.720344i	0.670803	+	0.741636i	$0.265950\pi$
$444$	7.87514	−	9.08839i	0.373738	−	0.431316i
$445$	−2.90865	+	20.2301i	−0.137883	+	0.959000i
$446$	0.209732	+	0.714282i	0.00993111	+	0.0338223i
$447$	−0.610488	−	0.704541i	−0.0288751	−	0.0333236i
$448$	−17.3053	+	11.8310i	−0.817599	+	0.558964i
$449$	3.37559	−	2.16936i	0.159304	−	0.102378i	−0.458560	−	0.888663i	$-0.651635\pi$
$449$	3.37559	−	2.16936i	0.159304	−	0.102378i	0.617864	+	0.786285i	$0.287998\pi$
$450$	−0.111919	−	0.129162i	−0.00527592	−	0.00608874i
$451$	25.9462	−	7.61850i	1.22176	−	0.358741i
$452$	24.5603	+	3.53124i	1.15522	+	0.166096i
$453$	0.148035	+	0.128273i	0.00695530	+	0.00602680i
$454$	−0.0724912	+	0.158734i	−0.00340218	+	0.00744973i
$455$	−6.58770	+	25.0540i	−0.308836	+	1.17455i
$456$	1.11732	−	0.510261i	0.0523231	−	0.0238952i
$457$	−0.734263	+	0.105571i	−0.0343474	+	0.00493840i	−0.159467	−	0.987203i	$-0.550978\pi$
$457$	−0.734263	+	0.105571i	−0.0343474	+	0.00493840i	0.125120	+	0.992142i	$0.460068\pi$
$458$	0.345030	+	0.221737i	0.0161222	+	0.0103611i
$459$		−	5.06640i		−	0.236479i
$460$	−10.3827	+	8.58639i	−0.484097	+	0.400342i
$461$		−	27.0803i		−	1.26125i	−0.776086	−	0.630627i	$-0.782798\pi$
$461$		−	27.0803i		−	1.26125i	0.776086	−	0.630627i	$-0.217202\pi$
$462$	−0.627981	−	0.378755i	−0.0292163	−	0.0176213i
$463$	0.730610	+	5.08151i	0.0339543	+	0.236158i	0.999730	−	0.0232198i	$-0.00739174\pi$
$463$	0.730610	+	5.08151i	0.0339543	+	0.236158i	−0.965776	+	0.259377i	$0.916483\pi$
$464$	8.22651	+	18.0135i	0.381906	+	0.836257i
$465$	9.44474	+	2.77323i	0.437989	+	0.128605i
$466$	0.607760	−	1.33081i	0.0281540	−	0.0616486i
$467$	−3.29824	+	3.80637i	−0.152624	+	0.176138i	−0.826913	−	0.562330i	$-0.809905\pi$
$467$	−3.29824	+	3.80637i	−0.152624	+	0.176138i	0.674288	+	0.738468i	$0.264450\pi$
$468$	−13.7551	−	1.97769i	−0.635830	−	0.0914185i
$469$	3.24681	+	9.99540i	0.149924	+	0.461545i
$470$	0.0854491	−	0.0740421i	0.00394147	−	0.00341531i
$471$	2.57898	+	4.01297i	0.118833	+	0.184908i
$472$	−0.765679	−	1.19142i	−0.0352432	−	0.0548395i
$473$	−15.7848	−	18.2167i	−0.725788	−	0.837604i
$474$	0.273383	−	0.0802725i	0.0125569	−	0.00368704i
$475$	−2.33488	+	16.2395i	−0.107132	+	0.745118i
$476$	−16.9448	+	20.7193i	−0.776666	+	0.949666i
$477$	11.4143	+	5.21276i	0.522627	+	0.238676i
$478$	−1.08551	−	0.318734i	−0.0496500	−	0.0145785i
$479$	−6.05423	−	13.2569i	−0.276625	−	0.605724i	0.719420	−	0.694575i	$-0.244408\pi$
$479$	−6.05423	−	13.2569i	−0.276625	−	0.605724i	−0.996045	+	0.0888512i	$0.971680\pi$
$480$	0.943522	−	0.135658i	0.0430657	−	0.00619191i
$481$	−35.2594	−	22.6598i	−1.60769	−	1.03320i
$482$	0.647993			0.0295153
$483$	−12.6884	+	0.0693206i	−0.577342	+	0.00315419i
$484$	25.9568			1.17985
$485$	−8.88459	−	5.70978i	−0.403428	−	0.259268i
$486$	−0.0560049	+	0.00805229i	−0.00254044	+	0.000365259i
$487$	10.2767	+	22.5029i	0.465683	+	1.01970i	0.986155	+	0.165825i	$0.0530285\pi$
$487$	10.2767	+	22.5029i	0.465683	+	1.01970i	−0.520473	+	0.853878i	$0.674244\pi$
$488$	−0.998324	−	0.293134i	−0.0451920	−	0.0132696i
$489$	10.4156	+	4.75666i	0.471011	+	0.215104i
$490$	0.340346	−	0.441222i	0.0153753	−	0.0199324i
$491$	−0.509981	+	3.54699i	−0.0230151	+	0.160074i	−0.998088	−	0.0618120i	$-0.980312\pi$
$491$	−0.509981	+	3.54699i	−0.0230151	+	0.160074i	0.975073	+	0.221886i	$0.0712212\pi$
$492$	−10.5757	+	3.10531i	−0.476791	+	0.139998i
$493$	16.5048	+	19.0476i	0.743340	+	0.857860i
$494$	−1.15632	−	1.79928i	−0.0520255	−	0.0809532i
$495$	−3.72631	−	5.79826i	−0.167485	−	0.260612i
$496$	21.0487	−	18.2388i	0.945113	−	0.818945i
$497$	−13.0027	+	4.22368i	−0.583251	+	0.189458i
$498$	0.137291	+	0.0197395i	0.00615216	+	0.000884547i
$499$	−4.75481	+	5.48734i	−0.212854	+	0.245647i	−0.852129	−	0.523331i	$-0.824689\pi$
$499$	−4.75481	+	5.48734i	−0.212854	+	0.245647i	0.639275	+	0.768978i	$0.279235\pi$
$500$	−9.36037	+	20.4963i	−0.418608	+	0.916624i
$501$	−12.4338	−	3.65091i	−0.555503	−	0.163110i
$502$	0.0269991	+	0.0591199i	0.00120503	+	0.00263865i
$503$	1.19458	+	8.30847i	0.0532636	+	0.370456i	0.998968	+	0.0454273i	$0.0144649\pi$
$503$	1.19458	+	8.30847i	0.0532636	+	0.370456i	−0.945704	+	0.325029i	$0.894626\pi$
$504$	0.512343	+	0.309010i	0.0228216	+	0.0137644i
$505$			0.130373i			0.00580154i
$506$	−1.13454	+	0.692761i	−0.0504366	+	0.0307970i
$507$			35.4335i			1.57365i
$508$	−24.3379	−	15.6410i	−1.07982	−	0.693957i
$509$	−19.2051	+	2.76128i	−0.851252	+	0.122392i	−0.554112	−	0.832442i	$-0.686942\pi$
$509$	−19.2051	+	2.76128i	−0.851252	+	0.122392i	−0.297140	+	0.954834i	$0.596033\pi$
$510$	0.366865	−	0.167542i	0.0162451	−	0.00741888i
$511$	2.00711	−	7.63335i	0.0887895	−	0.337680i
$512$	1.86834	−	4.09110i	0.0825699	−	0.180803i
$513$	4.10494	+	3.55695i	0.181237	+	0.157043i
$514$	1.41610	+	0.203604i	0.0624613	+	0.00898058i
$515$	3.55654	−	1.04429i	0.156720	−	0.0460171i
$516$	6.43393	+	7.42515i	0.283238	+	0.326874i
$517$	−5.85347	+	3.76180i	−0.257435	+	0.165444i
$518$	0.508818	+	0.744251i	0.0223562	+	0.0327005i
$519$	9.25924	+	10.6857i	0.406436	+	0.469052i
$520$	−0.623826	−	2.12456i	−0.0273566	−	0.0931680i
$521$	2.89627	−	20.1440i	0.126888	−	0.882525i	−0.822577	−	0.568653i	$-0.807465\pi$
$521$	2.89627	−	20.1440i	0.126888	−	0.882525i	0.949465	−	0.313872i	$-0.101626\pi$
$522$	0.184324	−	0.212721i	0.00806763	−	0.00931054i
$523$	7.50358	−	16.4306i	0.328109	−	0.718458i	−0.671640	−	0.740878i	$-0.734410\pi$
$523$	7.50358	−	16.4306i	0.328109	−	0.718458i	0.999749	+	0.0224197i	$0.00713701\pi$
$524$	3.02825	−	10.3133i	0.132290	−	0.450537i
$525$	−7.17196	+	3.52550i	−0.313010	+	0.153865i
$526$	−0.0218985	+	0.00314853i	−0.000954821	+	0.000137283i
$527$	19.1639	−	29.8196i	0.834793	−	1.29896i
$528$	−19.5015			−0.848695
$529$	−10.5072	+	20.4597i	−0.456833	+	0.889553i
$530$			0.998911i			0.0433899i
$531$	3.38583	−	5.26845i	0.146932	−	0.228631i
$532$	−4.89092	−	28.2755i	−0.212048	−	1.22590i
$533$	15.9584	+	34.9440i	0.691235	+	1.51359i
$534$	0.231567	−	0.788643i	0.0100209	−	0.0341279i
$535$	19.1128	+	8.72852i	0.826318	+	0.377367i
$536$	−0.678880	−	0.588253i	−0.0293232	−	0.0254087i
$537$	4.60355	+	0.661891i	0.198658	+	0.0285627i
$538$	−0.422503	−	1.43891i	−0.0182154	−	0.0620359i
$539$	−24.5959	+	23.8956i	−1.05942	+	1.02926i
$540$	1.51885	+	2.36338i	0.0653610	+	0.101704i
$541$	−9.31254	+	5.98481i	−0.400377	+	0.257307i	−0.725299	−	0.688434i	$-0.758298\pi$
$541$	−9.31254	+	5.98481i	−0.400377	+	0.257307i	0.324922	+	0.945741i	$0.394662\pi$
$542$	0.155125	−	0.134417i	0.00666320	−	0.00577369i
$543$	3.48851	+	11.8808i	0.149706	+	0.509853i
$544$	0.488509	−	3.39766i	0.0209447	−	0.145673i
$545$	3.83356	+	3.32180i	0.164212	+	0.142290i
$546$	0.405625	−	0.959609i	0.0173592	−	0.0410675i
$547$	−19.8510	−	5.82879i	−0.848768	−	0.249221i	−0.171708	−	0.985148i	$-0.554928\pi$
$547$	−19.8510	−	5.82879i	−0.848768	−	0.249221i	−0.677061	+	0.735927i	$0.736747\pi$
$548$	14.5413	−	6.64078i	0.621172	−	0.283680i
$549$	−0.654784	−	4.55412i	−0.0279455	−	0.194365i
$550$	−0.452650	+	0.704337i	−0.0193011	+	0.0300330i
$551$	−27.0204			−1.15111
$552$	0.925626	−	0.565194i	0.0393972	−	0.0240562i
$553$	−0.379387	−	13.3178i	−0.0161332	−	0.566331i
$554$	−0.276995	−	0.178014i	−0.0117684	−	0.00756309i
$555$	1.20586	+	8.38695i	0.0511860	+	0.356006i
$556$	4.56306	−	2.08388i	0.193517	−	0.0883762i
$557$	2.03114	−	6.91744i	0.0860624	−	0.293102i	−0.905204	−	0.424978i	$-0.860282\pi$
$557$	2.03114	−	6.91744i	0.0860624	−	0.293102i	0.991266	+	0.131876i	$0.0421001\pi$
$558$	−0.360090	−	0.164448i	−0.0152438	−	0.00696163i
$559$	22.4241	−	25.8788i	0.948438	−	1.09456i
$560$	1.69032	−	14.7213i	0.0714290	−	0.622091i
$561$	−23.8144	+	6.99254i	−1.00544	+	0.295225i
$562$	−0.181507	+	0.157277i	−0.00765641	+	0.00663431i
$563$	3.27752	−	2.10634i	0.138131	−	0.0887715i	−0.469750	−	0.882799i	$-0.655656\pi$
$563$	3.27752	−	2.10634i	0.138131	−	0.0887715i	0.607881	+	0.794028i	$0.292020\pi$
$564$	2.38588	−	1.53331i	0.100464	−	0.0645642i
$565$	−13.2127	+	11.4489i	−0.555864	+	0.481659i
$566$	0.323720	−	0.0950527i	0.0136070	−	0.00399536i
$567$	−0.301804	+	2.62848i	−0.0126746	+	0.110386i
$568$	0.765240	−	0.883134i	0.0321087	−	0.0370555i
$569$	20.0707	+	9.16597i	0.841406	+	0.384257i	0.789018	−	0.614370i	$-0.210590\pi$
$569$	20.0707	+	9.16597i	0.841406	+	0.384257i	0.0523877	+	0.998627i	$0.483317\pi$
$570$	−0.121817	+	0.414870i	−0.00510235	+	0.0173770i
$571$	29.3309	−	13.3950i	1.22746	−	0.560562i	0.307116	−	0.951672i	$-0.400636\pi$
$571$	29.3309	−	13.3950i	1.22746	−	0.560562i	0.920344	+	0.391110i	$0.127909\pi$
$572$	9.68848	+	67.3848i	0.405095	+	2.81750i
$573$	−3.71009	−	2.38433i	−0.154991	−	0.0996068i
$574$	−0.0235302	−	0.825993i	−0.000982131	−	0.0344763i
$575$	−0.333384	+	14.4822i	−0.0139031	+	0.603950i
$576$	7.92327			0.330136
$577$	24.1610	−	37.5953i	1.00584	−	1.56511i	0.194191	−	0.980964i	$-0.437792\pi$
$577$	24.1610	−	37.5953i	1.00584	−	1.56511i	0.811646	−	0.584149i	$-0.198572\pi$
$578$	−0.0698005	−	0.485473i	−0.00290332	−	0.0201930i
$579$	−19.5338	+	8.92078i	−0.811796	+	0.370735i
$580$	−13.4094	−	3.93737i	−0.556797	−	0.163490i
$581$	2.52522	−	5.97404i	0.104764	−	0.247845i
$582$	0.320986	+	0.278136i	0.0133053	+	0.0115291i
$583$	8.74850	−	60.8472i	0.362326	−	2.52003i
$584$	0.190065	+	0.647301i	0.00786494	+	0.0267855i
$585$	7.39985	−	6.41200i	0.305946	−	0.265104i
$586$	−1.01698	+	0.653575i	−0.0420112	+	0.0269989i
$587$	2.34742	+	3.65266i	0.0968885	+	0.150761i	0.886314	−	0.463085i	$-0.153258\pi$
$587$	2.34742	+	3.65266i	0.0968885	+	0.150761i	−0.789425	+	0.613847i	$0.789621\pi$
$588$	10.0253	−	9.73989i	0.413438	−	0.401666i
$589$	10.7064	+	36.4625i	0.441148	+	1.50241i
$590$	0.493463	+	0.0709493i	0.0203155	+	0.00292094i
$591$	19.7162	+	17.0842i	0.811016	+	0.702749i
$592$	21.8078	+	9.95928i	0.896294	+	0.409324i
$593$	8.50247	−	28.9567i	0.349154	−	1.18911i	−0.578504	−	0.815680i	$-0.696363\pi$
$593$	8.50247	−	28.9567i	0.349154	−	1.18911i	0.927658	−	0.373431i	$-0.121819\pi$
$594$	0.115146	+	0.252135i	0.00472451	+	0.0103452i
$595$	−3.21440	−	18.5831i	−0.131777	−	0.761834i
$596$	1.00640	−	1.56599i	0.0412238	−	0.0641455i
$597$		−	7.36211i		−	0.301311i
$598$	−1.20350	−	1.45528i	−0.0492148	−	0.0595108i
$599$	11.1491			0.455542			0.227771	−	0.973715i	$-0.426856\pi$
$599$	11.1491			0.455542			0.227771	+	0.973715i	$0.426856\pi$
$600$	0.369298	−	0.574639i	0.0150765	−	0.0234595i
$601$	−26.6897	+	3.83740i	−1.08870	+	0.156531i	−0.663210	−	0.748434i	$-0.730806\pi$
$601$	−26.6897	+	3.83740i	−1.08870	+	0.156531i	−0.425487	+	0.904965i	$0.639897\pi$
$602$	−0.661019	+	0.324935i	−0.0269411	+	0.0132434i
$603$	1.11910	−	3.81132i	0.0455735	−	0.155209i
$604$	−0.162481	+	0.355785i	−0.00661127	+	0.0144767i
$605$	−11.9767	+	13.8219i	−0.486922	+	0.561938i
$606$	0.000746167	−	0.00518971i	3.03110e−5	−	0.000210818i
$607$	8.97742	+	30.5743i	0.364382	+	1.24097i	0.914055	+	0.405591i	$0.132934\pi$
$607$	8.97742	+	30.5743i	0.364382	+	1.24097i	−0.549672	+	0.835380i	$0.685247\pi$
$608$	2.40991	+	2.78118i	0.0977347	+	0.112792i
$609$	−7.42815	−	10.8652i	−0.301004	−	0.440280i
$610$	0.308118	−	0.198015i	0.0124753	−	0.00801740i
$611$	−6.47306	−	7.47031i	−0.261872	−	0.302216i
$612$	9.70679	−	2.85017i	0.392374	−	0.115211i
$613$	15.8584	+	2.28010i	0.640516	+	0.0920922i	0.454918	−	0.890534i	$-0.349669\pi$
$613$	15.8584	+	2.28010i	0.640516	+	0.0920922i	0.185598	+	0.982626i	$0.440578\pi$
$614$	−0.647853	−	0.561368i	−0.0261452	−	0.0226550i
$615$	3.22618	−	7.06435i	0.130092	−	0.284862i
$616$	0.745365	−	2.83473i	0.0300316	−	0.114215i
$617$	32.8495	−	15.0019i	1.32247	−	0.603952i	0.375964	−	0.926634i	$-0.377312\pi$
$617$	32.8495	−	15.0019i	1.32247	−	0.603952i	0.946507	+	0.322682i	$0.104584\pi$
$618$	−0.147550	+	0.0212145i	−0.00593533	+	0.000853372i
$619$	7.91770	+	5.08839i	0.318239	+	0.204520i	0.690001	−	0.723808i	$-0.257610\pi$
$619$	7.91770	+	5.08839i	0.318239	+	0.204520i	−0.371762	+	0.928328i	$0.621246\pi$
$620$			19.6554i			0.789381i
$621$	3.97377	+	2.68499i	0.159462	+	0.107745i
$622$			0.858966i			0.0344414i
$623$	−32.9115	−	19.8500i	−1.31857	−	0.795273i
$624$	−3.94270	−	27.4221i	−0.157834	−	1.09776i
$625$	−0.321331	−	0.703616i	−0.0128532	−	0.0281446i
$626$	−0.949996	−	0.278944i	−0.0379695	−	0.0111488i
$627$	11.0537	−	24.2043i	0.441444	−	0.966627i
$628$	−6.23767	+	7.19866i	−0.248910	+	0.287258i
$629$	30.2017	+	4.34235i	1.20422	+	0.173141i
$630$	−0.200313	+	0.0650677i	−0.00798065	+	0.00259236i
$631$	−6.05999	+	5.25101i	−0.241244	+	0.209039i	−0.767088	−	0.641542i	$-0.778295\pi$
$631$	−6.05999	+	5.25101i	−0.241244	+	0.209039i	0.525844	+	0.850581i	$0.323750\pi$
$632$	0.615674	+	0.958008i	0.0244902	+	0.0381075i
$633$	−6.81970	−	10.6117i	−0.271059	−	0.421775i
$634$	0.937855	+	1.08234i	0.0372470	+	0.0429853i
$635$	19.5585	−	5.74289i	0.776155	−	0.227900i
$636$	−3.56591	+	24.8014i	−0.141397	+	0.983440i
$637$	−38.5734	−	29.7545i	−1.52834	−	1.17892i
$638$	−1.25428	−	0.572813i	−0.0496576	−	0.0226779i
$639$	4.95802	+	1.45581i	0.196136	+	0.0575908i
$640$	1.05398	+	2.30790i	0.0416624	+	0.0912279i
$641$	−34.0581	+	4.89681i	−1.34521	+	0.193412i	−0.777016	−	0.629480i	$-0.783268\pi$
$641$	−34.0581	+	4.89681i	−1.34521	+	0.193412i	−0.568197	+	0.822893i	$0.692359\pi$
$642$	−0.710858	−	0.456840i	−0.0280553	−	0.0180301i
$643$	−22.0673			−0.870251			−0.435125	−	0.900370i	$-0.643296\pi$
$643$	−22.0673			−0.870251			−0.435125	+	0.900370i	$0.643296\pi$
$644$	−7.27083	−	24.2709i	−0.286511	−	0.956406i
$645$	−6.92254			−0.272575
$646$	1.30986	+	0.841795i	0.0515357	+	0.0331200i
$647$	47.5068	−	6.83045i	1.86769	−	0.268533i	0.886661	−	0.462419i	$-0.153018\pi$
$647$	47.5068	−	6.83045i	1.86769	−	0.268533i	0.981024	+	0.193886i	$0.0621093\pi$
$648$	−0.0939429	−	0.205706i	−0.00369042	−	0.00808090i
$649$	−29.4372	−	8.64354i	−1.15551	−	0.339288i
$650$	−1.08192	−	0.494095i	−0.0424363	−	0.0193800i
$651$	−11.7187	+	14.3290i	−0.459293	+	0.561599i
$652$	−3.25390	+	22.6314i	−0.127433	+	0.886313i
$653$	22.7833	−	6.68979i	0.891581	−	0.261792i	0.196312	−	0.980541i	$-0.437103\pi$
$653$	22.7833	−	6.68979i	0.891581	−	0.261792i	0.695269	+	0.718750i	$0.255285\pi$
$654$	−0.133589	−	0.154170i	−0.00522374	−	0.00602851i
$655$	4.09450	+	6.37117i	0.159985	+	0.248942i
$656$	−11.8799	−	18.4855i	−0.463833	−	0.721738i
$657$	−2.25456	+	1.95358i	−0.0879586	+	0.0762165i
$658$	0.0656873	+	0.202220i	0.00256076	+	0.00788336i
$659$	−18.0828	−	2.59991i	−0.704405	−	0.101278i	−0.219202	−	0.975680i	$-0.570345\pi$
$659$	−18.0828	−	2.59991i	−0.704405	−	0.101278i	−0.485203	+	0.874401i	$0.661254\pi$
$660$	9.01267	−	10.4012i	0.350818	−	0.404865i
$661$	17.9254	−	39.2511i	0.697216	−	1.52669i	−0.146098	−	0.989270i	$-0.546671\pi$
$661$	17.9254	−	39.2511i	0.697216	−	1.52669i	0.843314	−	0.537421i	$-0.180601\pi$
$662$	−0.677713	−	0.198994i	−0.0263400	−	0.00773414i
$663$	−14.6472	−	32.0729i	−0.568850	−	1.24561i
$664$	0.0788947	+	0.548725i	0.00306171	+	0.0212947i
$665$	17.3133	+	10.4422i	0.671381	+	0.404931i
$666$		−	0.340757i		−	0.0132041i
$667$	−23.6866	+	2.85092i	−0.917150	+	0.110388i
$668$		−	25.8760i		−	1.00117i
$669$	−11.0684	−	7.11324i	−0.427930	−	0.275014i
$670$	0.312991	−	0.0450013i	0.0120919	−	0.00173855i
$671$	−20.5027	+	9.36329i	−0.791500	+	0.361466i
$672$	−0.455840	+	1.73363i	−0.0175844	+	0.0668761i
$673$	13.7592	−	30.1284i	0.530378	−	1.16136i	−0.434981	−	0.900439i	$-0.643245\pi$
$673$	13.7592	−	30.1284i	0.530378	−	1.16136i	0.965359	−	0.260925i	$-0.0840276\pi$
$674$	1.29825	+	1.12494i	0.0500066	+	0.0433310i
$675$	2.98981	+	0.429869i	0.115078	+	0.0165457i
$676$	−67.8875	+	19.9336i	−2.61106	+	0.766675i
$677$	−20.4412	−	23.5905i	−0.785621	−	0.906655i	0.211881	−	0.977295i	$-0.432041\pi$
$677$	−20.4412	−	23.5905i	−0.785621	−	0.906655i	−0.997502	+	0.0706406i	$0.977496\pi$
$678$	0.591479	−	0.380120i	0.0227156	−	0.0145984i
$679$	16.3951	−	11.2087i	0.629185	−	0.430152i
$680$	1.05561	+	1.21824i	0.0404807	+	0.0467172i
$681$	−0.868902	−	2.95921i	−0.0332964	−	0.113397i
$682$	−0.275990	+	1.91956i	−0.0105682	+	0.0735036i
$683$	16.6980	−	19.2705i	0.638931	−	0.737365i	−0.340255	−	0.940333i	$-0.610513\pi$
$683$	16.6980	−	19.2705i	0.638931	−	0.737365i	0.979185	+	0.202968i	$0.0650587\pi$
$684$	−4.50552	+	9.86572i	−0.172273	+	0.377225i
$685$	−3.17330	+	10.8073i	−0.121246	+	0.412925i
$686$	0.515063	+	0.912572i	0.0196652	+	0.0348422i
$687$	−7.17492	+	1.03160i	−0.273740	+	0.0393579i
$688$	−10.5894	+	16.4775i	−0.403718	+	0.628198i
$689$	87.3289			3.32697
$690$	−0.0630144	+	0.376537i	−0.00239892	+	0.0143345i
$691$		−	20.1477i		−	0.766454i	−0.923654	−	0.383227i	$-0.874813\pi$
$691$		−	20.1477i		−	0.766454i	0.923654	−	0.383227i	$-0.125187\pi$
$692$	−15.2640	+	23.7513i	−0.580252	+	0.902889i
$693$	12.7716	−	2.20915i	0.485153	−	0.0839188i
$694$	−0.698905	−	1.53039i	−0.0265301	−	0.0580928i
$695$	−0.995784	+	3.39133i	−0.0377722	+	0.128640i
$696$	1.02332	+	0.467333i	0.0387887	+	0.0177142i
$697$	−21.1355	−	18.3140i	−0.800562	−	0.693691i
$698$	0.308208	+	0.0443136i	0.0116658	+	0.00167729i
$699$	7.28480	+	24.8098i	0.275537	+	0.938391i
$700$	−10.7892	−	11.7575i	−0.407795	−	0.444393i
$701$	−10.6646	−	16.5944i	−0.402796	−	0.626762i	0.579307	−	0.815110i	$-0.303323\pi$
$701$	−10.6646	−	16.5944i	−0.402796	−	0.626762i	−0.982102	+	0.188347i	$0.939687\pi$
$702$	−0.331260	+	0.212888i	−0.0125026	+	0.00803494i
$703$	−24.7219	+	21.4216i	−0.932403	+	0.807932i
$704$	−10.9355	−	37.2430i	−0.412148	−	1.40365i
$705$	−0.284387	+	1.97796i	−0.0107107	+	0.0744942i
$706$	0.645503	+	0.559332i	0.0242938	+	0.0210507i
$707$	−0.225823	−	0.0954552i	−0.00849296	−	0.00358996i
$708$	11.9986	+	3.52312i	0.450937	+	0.132407i
$709$	−29.7590	+	13.5905i	−1.11762	+	0.510401i	−0.886595	−	0.462546i	$-0.846936\pi$
$709$	−29.7590	+	13.5905i	−1.11762	+	0.510401i	−0.231027	+	0.972947i	$0.574209\pi$
$710$	0.0585408	+	0.407160i	0.00219700	+	0.0152804i
$711$	−2.72251	+	4.23631i	−0.102102	+	0.158874i
$712$	3.28512			0.123115
$713$	13.2326	+	30.8342i	0.495564	+	1.15475i
$714$	0.0215969	+	0.758126i	0.000808242	+	0.0283722i
$715$	−40.3525	−	25.9330i	−1.50910	−	0.969837i
$716$	1.32166	+	9.19236i	0.0493928	+	0.343535i
$717$	18.1881	−	8.30623i	0.679247	−	0.310202i
$718$	−0.306128	+	1.04258i	−0.0114246	+	0.0389086i
$719$	−22.8152	−	10.4194i	−0.850865	−	0.388577i	−0.0582519	−	0.998302i	$-0.518553\pi$
$719$	−22.8152	−	10.4194i	−0.850865	−	0.388577i	−0.792613	+	0.609725i	$0.791280\pi$
$720$	−3.66768	+	4.23273i	−0.136686	+	0.157745i
$721$	−0.795131	+	6.92497i	−0.0296122	+	0.257899i
$722$	−0.570164	+	0.167415i	−0.0212193	+	0.00623055i
$723$	−8.65523	+	7.49980i	−0.321891	+	0.278921i
$724$	−20.8000	+	13.3674i	−0.773027	+	0.496795i
$725$	−12.6408	+	8.12377i	−0.469469	+	0.301709i
$726$	0.555858	−	0.481653i	0.0206298	−	0.0178758i
$727$	−25.5636	+	7.50614i	−0.948100	+	0.278387i	−0.718996	−	0.695015i	$-0.755398\pi$
$727$	−25.5636	+	7.50614i	−0.948100	+	0.278387i	−0.229104	+	0.973402i	$0.573580\pi$
$728$	4.13675	+	0.474985i	0.153318	+	0.0176041i
$729$	0.654861	−	0.755750i	0.0242541	−	0.0279907i
$730$	−0.216018	−	0.0986522i	−0.00799519	−	0.00365128i
$731$	−7.02311	+	23.9185i	−0.259759	+	0.884658i
$732$	8.35695	−	3.81649i	0.308882	−	0.141062i
$733$	1.45436	+	10.1153i	0.0537179	+	0.373616i	0.998893	+	0.0470507i	$0.0149822\pi$
$733$	1.45436	+	10.1153i	0.0537179	+	0.373616i	−0.945175	+	0.326565i	$0.894109\pi$
$734$	−1.05930	−	0.680769i	−0.0390994	−	0.0251276i
$735$	0.560656	+	9.83253i	0.0206801	+	0.362678i
$736$	2.40602	+	2.18378i	0.0886871	+	0.0804951i
$737$	−19.4595			−0.716800
$738$	−0.168854	+	0.262743i	−0.00621562	+	0.00967169i
$739$	−3.05883	−	21.2746i	−0.112521	−	0.782599i	−0.965453	−	0.260577i	$-0.916087\pi$
$739$	−3.05883	−	21.2746i	−0.112521	−	0.782599i	0.852932	−	0.522022i	$-0.174822\pi$
$740$	−15.3903	+	7.02852i	−0.565759	+	0.258373i
$741$	36.2696	+	10.6497i	1.33240	+	0.391227i
$742$	−1.73024	−	0.731371i	−0.0635192	−	0.0268495i
$743$	−23.3457	−	20.2291i	−0.856469	−	0.742135i	0.111350	−	0.993781i	$-0.464483\pi$
$743$	−23.3457	−	20.2291i	−0.856469	−	0.742135i	−0.967819	+	0.251646i	$0.919028\pi$
$744$	0.225169	−	1.56608i	0.00825508	−	0.0574154i
$745$	0.369520	+	1.25847i	0.0135381	+	0.0461067i
$746$	−0.0155280	+	0.0134551i	−0.000568519	+	0.000492625i
$747$	−2.06226	+	1.32533i	−0.0754541	+	0.0484914i
$748$	−26.7942	−	41.6926i	−0.979693	−	1.52443i
$749$	−29.1127	+	26.7151i	−1.06375	+	0.976147i
$750$	0.179880	+	0.612615i	0.00656829	+	0.0223695i
$751$	43.9940	+	6.32538i	1.60536	+	0.230816i	0.885955	−	0.463771i	$-0.153504\pi$
$751$	43.9940	+	6.32538i	1.60536	+	0.230816i	0.719408	+	0.694587i	$0.244413\pi$
$752$	4.27304	+	3.70261i	0.155822	+	0.135020i
$753$	−1.04487	−	0.477178i	−0.0380773	−	0.0173893i
$754$	0.551876	−	1.87952i	0.0200982	−	0.0684480i
$755$	−0.114483	−	0.250683i	−0.00416647	−	0.00912329i
$756$	−5.20573	+	0.900455i	−0.189331	+	0.0327492i
$757$	25.2396	−	39.2735i	0.917348	−	1.42742i	0.0133369	−	0.999911i	$-0.495755\pi$
$757$	25.2396	−	39.2735i	0.917348	−	1.42742i	0.904011	−	0.427510i	$-0.140609\pi$
$758$		−	1.36712i		−	0.0496562i
$759$	7.13615	−	22.3843i	0.259026	−	0.812498i
$760$	−1.72815			−0.0626867
$761$	−22.9561	+	35.7204i	−0.832159	+	1.29486i	0.121079	+	0.992643i	$0.461365\pi$
$761$	−22.9561	+	35.7204i	−0.832159	+	1.29486i	−0.953238	+	0.302221i	$0.902272\pi$
$762$	−0.811424	+	0.116665i	−0.0293948	+	0.00422633i
$763$	−8.56058	+	4.20810i	−0.309914	+	0.152343i
$764$	2.48101	−	8.44955i	0.0897598	−	0.305694i
$765$	−2.96110	+	6.48391i	−0.107059	+	0.234426i
$766$	0.949422	−	1.09569i	0.0343040	−	0.0395890i
$767$	6.20268	−	43.1406i	0.223966	−	1.55772i
$768$	4.43574	+	15.1067i	0.160061	+	0.545118i
$769$	−22.5177	−	25.9868i	−0.812009	−	0.937109i	0.186966	−	0.982366i	$-0.440135\pi$
$769$	−22.5177	−	25.9868i	−0.812009	−	0.937109i	−0.998975	+	0.0452576i	$0.985589\pi$
$770$	0.582315	+	0.851756i	0.0209852	+	0.0306951i
$771$	−21.2713	+	13.6702i	−0.766066	+	0.492321i
$772$	−28.0804	−	32.4065i	−1.01064	−	1.16634i
$773$	19.1415	−	5.62046i	0.688473	−	0.202154i	0.0812598	−	0.996693i	$-0.474106\pi$
$773$	19.1415	−	5.62046i	0.688473	−	0.202154i	0.607213	+	0.794539i	$0.292287\pi$
$774$	0.275562	+	0.0396198i	0.00990487	+	0.00142411i
$775$	15.9713	+	13.8392i	0.573706	+	0.497119i
$776$	−0.705183	+	1.54414i	−0.0253146	+	0.0554313i
$777$	−15.4102	−	4.05195i	−0.552837	−	0.145363i
$778$	1.46108	−	0.667253i	0.0523823	−	0.0239222i
$779$	29.6770	−	4.26691i	1.06329	−	0.152878i
$780$	16.4477	+	10.5703i	0.588923	+	0.378478i
$781$		−	25.3143i		−	0.905815i
$782$	1.23707	+	0.599733i	0.0442375	+	0.0214464i
$783$			4.97465i			0.177780i
$784$	24.2617	+	13.7063i	0.866488	+	0.489512i
$785$	−0.955128	−	6.64306i	−0.0340900	−	0.237101i
$786$	−0.126524	−	0.277048i	−0.00451295	−	0.00988198i
$787$	10.6268	+	3.12030i	0.378804	+	0.111227i	0.465591	−	0.885000i	$-0.345842\pi$
$787$	10.6268	+	3.12030i	0.378804	+	0.111227i	−0.0867872	+	0.996227i	$0.527660\pi$
$788$	−21.6402	+	47.3855i	−0.770901	+	1.68804i
$789$	0.256057	−	0.295506i	0.00911589	−	0.0105203i
$790$	−0.396788	−	0.0570495i	−0.0141171	−	0.00202973i
$791$	−10.1570	−	31.2687i	−0.361142	−	1.11179i
$792$	−0.837255	+	0.725486i	−0.0297506	+	0.0257790i
$793$	−17.3113	−	26.9369i	−0.614742	−	0.956557i
$794$	−0.477496	−	0.742998i	−0.0169457	−	0.0263680i
$795$	−11.5613	−	13.3424i	−0.410037	−	0.473208i
$796$	14.1052	−	4.14165i	0.499945	−	0.146797i
$797$	−5.59847	+	38.9382i	−0.198308	+	1.37926i	0.610885	+	0.791719i	$0.290814\pi$
$797$	−5.59847	+	38.9382i	−0.198308	+	1.37926i	−0.809193	+	0.587543i	$0.800095\pi$
$798$	−0.629418	−	0.514757i	−0.0222811	−	0.0182222i
$799$	6.54566	+	2.98930i	0.231569	+	0.105754i
$800$	1.96359	+	0.576562i	0.0694234	+	0.0203846i
$801$	6.03464	+	13.2140i	0.213224	+	0.466895i
$802$	−1.25573	+	0.180547i	−0.0443413	+	0.00637532i
$803$	12.2944	+	7.90115i	0.433861	+	0.278825i
$804$	7.93173			0.279730
$805$	16.2790	+	7.32713i	0.573758	+	0.258247i
$806$	−2.75498			−0.0970400
$807$	22.2972	+	14.3295i	0.784898	+	0.504423i
$808$	0.0207422	−	0.00298228i	0.000729709	−	0.000104916i
$809$	6.61813	+	14.4917i	0.232681	+	0.509500i	0.989572	−	0.144041i	$-0.0460098\pi$
$809$	6.61813	+	14.4917i	0.232681	+	0.509500i	−0.756891	+	0.653542i	$0.773282\pi$
$810$	0.0763807	+	0.0224274i	0.00268374	+	0.000788018i
$811$	18.4801	+	8.43960i	0.648925	+	0.296354i	0.712552	−	0.701619i	$-0.247539\pi$
$811$	18.4801	+	8.43960i	0.648925	+	0.296354i	−0.0636264	+	0.997974i	$0.520267\pi$
$812$	16.6380	−	20.3441i	0.583879	−	0.713937i
$813$	−0.516280	+	3.59080i	−0.0181067	+	0.125935i
$814$	−1.60171	+	0.470305i	−0.0561400	+	0.0164842i
$815$	−10.5497	−	12.1750i	−0.369541	−	0.426473i
$816$	10.9038	+	16.9667i	0.381710	+	0.593953i
$817$	−14.4488	−	22.4827i	−0.505498	−	0.786570i
$818$	−0.226098	+	0.195915i	−0.00790532	+	0.00685000i
$819$	5.68848	+	17.5121i	0.198772	+	0.611924i
$820$	15.3496	+	2.20694i	0.536032	+	0.0770697i
$821$	−23.4037	+	27.0094i	−0.816796	+	0.942633i	−0.999176	−	0.0405952i	$-0.987075\pi$
$821$	−23.4037	+	27.0094i	−0.816796	+	0.942633i	0.182380	+	0.983228i	$0.441620\pi$
$822$	0.188172	−	0.412038i	0.00656324	−	0.0143715i
$823$	11.9078	+	3.49644i	0.415079	+	0.121878i	0.482602	−	0.875840i	$-0.339692\pi$
$823$	11.9078	+	3.49644i	0.415079	+	0.121878i	−0.0675236	+	0.997718i	$0.521510\pi$
$824$	−0.247501	−	0.541952i	−0.00862211	−	0.0188798i
$825$	−2.10588	−	14.6468i	−0.0733175	−	0.509934i
$826$	−0.484191	+	0.802794i	−0.0168472	+	0.0279328i
$827$		−	22.5811i		−	0.785223i	−0.919704	−	0.392612i	$-0.871572\pi$
$827$		−	22.5811i		−	0.785223i	0.919704	−	0.392612i	$-0.128428\pi$
$828$	−2.90871	+	9.12388i	−0.101085	+	0.317077i
$829$			10.3389i			0.359085i	0.983750	+	0.179542i	$0.0574617\pi$
$829$			10.3389i			0.359085i	−0.983750	+	0.179542i	$0.942538\pi$
$830$	−0.164167	−	0.105503i	−0.00569830	−	0.00366208i
$831$	5.76014	−	0.828183i	0.199817	−	0.0287293i
$832$	50.1583	−	22.9065i	1.73893	−	0.794141i
$833$	34.5418	+	8.03822i	1.19680	+	0.278508i
$834$	0.0590483	−	0.129298i	0.00204468	−	0.00447722i
$835$	13.7789	+	11.9395i	0.476837	+	0.413182i
$836$	52.5918	+	7.56156i	1.81893	+	0.261522i
$837$	6.71302	−	1.97112i	0.232036	−	0.0681319i
$838$	1.12763	+	1.30136i	0.0389534	+	0.0449546i
$839$	2.73797	−	1.75958i	0.0945251	−	0.0607476i	−0.492524	−	0.870299i	$-0.663926\pi$
$839$	2.73797	−	1.75958i	0.0945251	−	0.0607476i	0.587049	+	0.809551i	$0.300289\pi$
$840$	−0.475086	−	0.694911i	−0.0163920	−	0.0239767i
$841$	2.78502	+	3.21408i	0.0960350	+	0.110830i
$842$	0.453769	+	1.54539i	0.0156379	+	0.0532578i
$843$	0.604082	−	4.20148i	0.0208057	−	0.144707i
$844$	16.4945	−	19.0357i	0.567764	−	0.655235i
$845$	20.7094	−	45.3473i	0.712426	−	1.55999i
$846$	0.0226409	−	0.0771080i	0.000778412	−	0.00265103i
$847$	−15.1723	−	30.8651i	−0.521325	−	1.06054i
$848$	−49.4439	+	7.10896i	−1.69791	+	0.244123i
$849$	−3.22379	+	5.01631i	−0.110640	+	0.172159i
$850$	0.865875			0.0296993
$851$	−19.4115	+	21.3871i	−0.665419	+	0.733139i
$852$			10.3181i			0.353493i
$853$	−8.19963	+	12.7589i	−0.280750	+	0.436855i	−0.952777	−	0.303671i	$-0.901788\pi$
$853$	−8.19963	+	12.7589i	−0.280750	+	0.436855i	0.672027	+	0.740527i	$0.265424\pi$
$854$	0.117394	+	0.678679i	0.00401713	+	0.0232239i
$855$	−3.17456	−	6.95131i	−0.108568	−	0.237730i
$856$	0.951492	−	3.24048i	0.0325213	−	0.110757i
$857$	−23.9067	−	10.9178i	−0.816636	−	0.372945i	−0.0371069	−	0.999311i	$-0.511814\pi$
$857$	−23.9067	−	10.9178i	−0.816636	−	0.372945i	−0.779529	+	0.626366i	$0.784541\pi$
$858$	1.45787	+	1.26325i	0.0497708	+	0.0431266i
$859$	−39.3581	−	5.65884i	−1.34288	−	0.193077i	−0.566875	−	0.823804i	$-0.691848\pi$
$859$	−39.3581	−	5.65884i	−1.34288	−	0.193077i	−0.776005	+	0.630727i	$0.782757\pi$
$860$	−3.89436	−	13.2630i	−0.132797	−	0.452264i
$861$	9.87425	+	10.7604i	0.336514	+	0.366715i
$862$	0.625414	+	0.973164i	0.0213017	+	0.0331461i
$863$	−24.6111	+	15.8166i	−0.837772	+	0.538403i	−0.887739	−	0.460348i	$-0.847725\pi$
$863$	−24.6111	+	15.8166i	−0.837772	+	0.538403i	0.0499669	+	0.998751i	$0.484088\pi$
$864$	0.512037	−	0.443682i	0.0174198	−	0.0150944i
$865$	−5.60448	−	19.0871i	−0.190558	−	0.648982i
$866$	−0.268793	+	1.86950i	−0.00913396	+	0.0635281i
$867$	6.55114	+	5.67659i	0.222488	+	0.192787i
$868$	−34.0457	−	14.3911i	−1.15559	−	0.488465i
$869$	23.6701	+	6.95017i	0.802954	+	0.235768i
$870$	−0.360222	+	0.164508i	−0.0122127	+	0.00557734i
$871$	−3.93420	−	27.3630i	−0.133305	−	0.927159i
$872$	0.440801	−	0.685899i	0.0149274	−	0.0232275i
$873$	−7.50651			−0.254057
$874$	−1.35442	+	0.581255i	−0.0458141	+	0.0196612i
$875$	29.8435	−	0.850155i	1.00889	−	0.0287405i
$876$	−5.01123	−	3.22052i	−0.169314	−	0.108811i
$877$	0.444723	+	3.09312i	0.0150172	+	0.104447i	0.995951	−	0.0898930i	$-0.0286525\pi$
$877$	0.444723	+	3.09312i	0.0150172	+	0.104447i	−0.980934	+	0.194340i	$0.937743\pi$
$878$	1.77978	−	0.812797i	0.0600646	−	0.0274306i
$879$	6.01941	−	20.5002i	0.203030	−	0.691456i
$880$	24.9578	+	11.3979i	0.841328	+	0.384222i
$881$	−20.3571	+	23.4934i	−0.685850	+	0.791513i	−0.986768	−	0.162137i	$-0.948161\pi$
$881$	−20.3571	+	23.4934i	−0.685850	+	0.791513i	0.300919	+	0.953650i	$0.402707\pi$
$882$	0.0339569	−	0.394608i	0.00114339	−	0.0132871i
$883$	40.6202	−	11.9272i	1.36698	−	0.401381i	0.485761	−	0.874092i	$-0.338543\pi$
$883$	40.6202	−	11.9272i	1.36698	−	0.401381i	0.881218	+	0.472711i	$0.156724\pi$
$884$	53.2089	−	46.1058i	1.78961	−	1.55070i
$885$	−7.41234	+	4.76362i	−0.249163	+	0.160127i
$886$	−0.793364	+	0.509864i	−0.0266536	+	0.0171292i
$887$	−21.4744	+	18.6077i	−0.721040	+	0.624785i	−0.936066	−	0.351824i	$-0.885562\pi$
$887$	−21.4744	+	18.6077i	−0.721040	+	0.624785i	0.215026	+	0.976608i	$0.431016\pi$
$888$	1.30677	−	0.383702i	0.0438523	−	0.0128762i
$889$	−4.37267	+	38.0826i	−0.146655	+	1.27725i
$890$	−0.757286	+	0.873955i	−0.0253843	+	0.0292950i
$891$	−4.45619	−	2.03508i	−0.149288	−	0.0681776i
$892$	7.40167	−	25.2078i	0.247826	−	0.844019i
$893$	−7.01750	+	3.20478i	−0.234832	+	0.107244i
$894$	−0.00750668	−	0.0522101i	−0.000251061	−	0.00174617i
$895$	−5.50472	−	3.53767i	−0.184002	−	0.118251i
$896$	−4.76928	+	0.135863i	−0.159330	+	0.00453887i
$897$	32.9184	+	5.50897i	1.09911	+	0.183939i
$898$	0.227034			0.00757624
$899$	−18.8169	+	29.2796i	−0.627578	+	0.976531i
$900$	0.858362	+	5.97004i	0.0286121	+	0.199001i
$901$	−57.8296	+	26.4099i	−1.92658	+	0.879842i
$902$	1.46806	+	0.431061i	0.0488810	+	0.0143528i
$903$	5.06846	−	11.9907i	0.168668	−	0.399026i
$904$	2.12374	+	1.84024i	0.0706347	+	0.0612053i
$905$	2.47928	−	17.2438i	0.0824140	−	0.573202i
$906$	0.00312244	+	0.0106340i	0.000103736	+	0.000353292i
$907$	−4.70602	+	4.07779i	−0.156261	+	0.135401i	−0.729482	−	0.684000i	$-0.760239\pi$
$907$	−4.70602	+	4.07779i	−0.156261	+	0.135401i	0.573221	+	0.819400i	$0.305693\pi$
$908$	5.18078	−	3.32948i	0.171930	−	0.110493i
$909$	0.0500986	+	0.0779549i	0.00166167	+	0.00258560i
$910$	−1.07997	+	0.991024i	−0.0358005	+	0.0328521i
$911$	14.0611	+	47.8876i	0.465864	+	1.58659i	0.772665	+	0.634815i	$0.218923\pi$
$911$	14.0611	+	47.8876i	0.465864	+	1.58659i	−0.306800	+	0.951774i	$0.599258\pi$
$912$	−21.4021	−	3.07716i	−0.708694	−	0.101895i
$913$	9.07595	+	7.86436i	0.300370	+	0.260272i
$914$	−0.0381794	−	0.0174360i	−0.00126286	−	0.000576731i
$915$	−1.82372	+	6.21101i	−0.0602902	+	0.205330i
$916$	−6.01280	−	13.1662i	−0.198668	−	0.435023i
$917$	−14.0335	+	2.42744i	−0.463428	+	0.0801610i
$918$	0.154981	−	0.241155i	0.00511513	−	0.00795929i
$919$			33.8223i			1.11569i	0.829944	+	0.557847i	$0.188372\pi$
$919$			33.8223i			1.11569i	−0.829944	+	0.557847i	$0.811628\pi$
$920$	−1.51494	+	0.182337i	−0.0499460	+	0.00601148i
$921$	15.1506			0.499229
$922$	0.828383	−	1.28899i	0.0272813	−	0.0424506i
$923$	35.5956	−	5.11788i	1.17164	−	0.168457i
$924$	11.4174	+	23.2265i	0.375604	+	0.764096i
$925$	−5.12505	+	17.4543i	−0.168511	+	0.573895i
$926$	−0.120667	+	0.264223i	−0.00396535	+	0.00868291i
$927$	1.72529	−	1.99109i	0.0566660	−	0.0653960i
$928$	−0.479663	+	3.33613i	−0.0157457	+	0.109514i
$929$	−2.81000	−	9.56998i	−0.0921931	−	0.313981i	0.900466	−	0.434926i	$-0.143226\pi$
$929$	−2.81000	−	9.56998i	−0.0921931	−	0.313981i	−0.992659	+	0.120945i	$0.961407\pi$
$930$	0.364726	+	0.420916i	0.0119598	+	0.0138024i
$931$	−30.7635	+	22.3434i	−1.00823	+	0.732275i
$932$	−43.4352	+	27.9141i	−1.42277	+	0.914357i
$933$	−9.94158	−	11.4732i	−0.325473	−	0.375615i
$934$	−0.273429	+	0.0802860i	−0.00894687	+	0.00262704i
$935$	34.5642	+	4.96958i	1.13037	+	0.162523i
$936$	−1.18941	−	1.03063i	−0.0388771	−	0.0336872i
$937$	−19.7476	+	43.2413i	−0.645127	+	1.41263i	0.250627	+	0.968084i	$0.419363\pi$
$937$	−19.7476	+	43.2413i	−0.645127	+	1.41263i	−0.895755	+	0.444548i	$0.853364\pi$
$938$	−0.151214	+	0.575089i	−0.00493731	+	0.0187773i
$939$	15.9175	−	7.26930i	0.519450	−	0.237225i
$940$	−3.94958	+	0.567864i	−0.128821	+	0.0185217i
$941$	27.7837	+	17.8555i	0.905721	+	0.582072i	0.908482	−	0.417924i	$-0.137242\pi$
$941$	27.7837	+	17.8555i	0.905721	+	0.582072i	−0.00276046	+	0.999996i	$0.500879\pi$
$942$			0.269904i			0.00879394i
$943$	25.5653	−	6.87168i	0.832520	−	0.223773i
$944$			24.9303i			0.811411i
$945$	1.92249	−	3.18751i	0.0625385	−	0.103690i
$946$	−0.194093	−	1.34995i	−0.00631052	−	0.0438906i
$947$	−13.6203	−	29.8244i	−0.442601	−	0.969162i	−0.991113	−	0.133019i	$-0.957533\pi$
$947$	−13.6203	−	29.8244i	−0.442601	−	0.969162i	0.548512	−	0.836143i	$-0.315195\pi$
$948$	−9.64798	−	2.83290i	−0.313352	−	0.0920084i
$949$	−8.62458	+	18.8852i	−0.279966	+	0.613039i
$950$	−0.607901	+	0.701556i	−0.0197229	+	0.0227615i
$951$	−25.0538	−	3.60220i	−0.812426	−	0.116809i
$952$	−2.88302	+	0.936494i	−0.0934392	+	0.0303519i
$953$	33.6263	−	29.1373i	1.08926	−	0.943851i	0.0906164	−	0.995886i	$-0.471116\pi$
$953$	33.6263	−	29.1373i	1.08926	−	0.943851i	0.998645	+	0.0520353i	$0.0165708\pi$
$954$	0.383852	+	0.597285i	0.0124277	+	0.0193378i
$955$	3.35458	+	5.21983i	0.108552	+	0.168910i
$956$	26.1460	+	30.1741i	0.845622	+	0.975899i
$957$	23.3831	−	6.86591i	0.755869	−	0.221943i
$958$	0.117354	−	0.816212i	0.00379152	−	0.0263706i
$959$	−16.3962	−	13.4093i	−0.529461	−	0.433009i
$960$	−10.1401	−	4.63083i	−0.327270	−	0.149459i
$961$	17.2229	+	5.05709i	0.555576	+	0.163132i
$962$	−0.985143	−	2.15716i	−0.0317623	−	0.0695497i
$963$	14.7823	−	2.12538i	0.476354	−	0.0684894i
$964$	−19.2381	−	12.3636i	−0.619617	−	0.398204i
$965$	30.2129			0.972588
$966$	−0.606073	−	0.384837i	−0.0195001	−	0.0123819i
$967$	−35.0398			−1.12680			−0.563402	−	0.826183i	$-0.690508\pi$
$967$	−35.0398			−1.12680			−0.563402	+	0.826183i	$0.690508\pi$
$968$	2.47300	+	1.58930i	0.0794853	+	0.0510821i
$969$	−27.2386	+	3.91632i	−0.875030	+	0.125810i
$970$	−0.248234	−	0.543558i	−0.00797033	−	0.0174526i
$971$	−13.4477	−	3.94861i	−0.431558	−	0.126717i	0.0587368	−	0.998274i	$-0.481293\pi$
$971$	−13.4477	−	3.94861i	−0.431558	−	0.126717i	−0.490295	+	0.871557i	$0.663111\pi$
$972$	1.81635	+	0.829500i	0.0582595	+	0.0266062i
$973$	−5.14514	−	4.20785i	−0.164945	−	0.134897i
$974$	−0.199201	+	1.38548i	−0.00638282	+	0.0443935i
$975$	20.1698	−	5.92238i	0.645949	−	0.189668i
$976$	11.9941	+	13.8419i	0.383922	+	0.443069i
$977$	3.57375	+	5.56086i	0.114334	+	0.177908i	0.893705	−	0.448656i	$-0.148097\pi$
$977$	3.57375	+	5.56086i	0.114334	+	0.177908i	−0.779370	+	0.626564i	$0.784461\pi$
$978$	0.350266	+	0.545025i	0.0112003	+	0.0174280i
$979$	53.7831	−	46.6033i	1.71891	−	1.48945i
$980$	−18.5229	+	6.60559i	−0.591692	+	0.211008i
$981$	3.56869	+	0.513100i	0.113939	+	0.0163820i
$982$	−0.132777	+	0.153232i	−0.00423707	+	0.00488984i
$983$	−4.30178	+	9.41959i	−0.137206	+	0.300438i	−0.965745	−	0.259492i	$-0.916445\pi$
$983$	−4.30178	+	9.41959i	−0.137206	+	0.300438i	0.828540	+	0.559930i	$0.189172\pi$
$984$	−1.19773	−	0.351684i	−0.0381821	−	0.0112113i
$985$	−15.2475	−	33.3874i	−0.485827	−	1.06381i
$986$	0.202947	+	1.41152i	0.00646314	+	0.0449521i
$987$	−3.21786	−	1.94079i	−0.102426	−	0.0617761i
$988$			75.4806i			2.40136i
$989$	−15.0382	−	18.1843i	−0.478188	−	0.578228i
$990$		−	0.389978i		−	0.0123943i
$991$	47.5975	+	30.5891i	1.51198	+	0.971693i	0.993154	+	0.116816i	$0.0372689\pi$
$991$	47.5975	+	30.5891i	1.51198	+	0.971693i	0.518831	+	0.854877i	$0.326367\pi$
$992$	4.69198	−	0.674605i	0.148971	−	0.0214187i
$993$	11.3553	−	5.18581i	0.360351	−	0.164567i
$994$	−0.748115	−	0.196709i	−0.0237288	−	0.00623924i
$995$	−4.30286	+	9.42194i	−0.136410	+	0.298696i
$996$	−3.69937	−	3.20553i	−0.117219	−	0.101571i
$997$	13.3964	+	1.92611i	0.424269	+	0.0610006i	0.351142	−	0.936322i	$-0.385793\pi$
$997$	13.3964	+	1.92611i	0.424269	+	0.0610006i	0.0731262	+	0.997323i	$0.476702\pi$
$998$	−0.394181	+	0.115742i	−0.0124776	+	0.00366375i
$999$	3.94388	+	4.55148i	0.124779	+	0.144003i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.r.a.412.17	yes	320
7.6	odd	2	inner	483.2.r.a.412.18	yes	320
23.11	odd	22	inner	483.2.r.a.34.18	yes	320
161.34	even	22	inner	483.2.r.a.34.17	✓	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.r.a.34.17	✓	320	161.34	even	22	inner
483.2.r.a.34.18	yes	320	23.11	odd	22	inner
483.2.r.a.412.17	yes	320	1.1	even	1	trivial
483.2.r.a.412.18	yes	320	7.6	odd	2	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:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.r (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.0475988 + 0.0305899i) q^{2} +(-0.989821 + 0.142315i) q^{3} +(-0.829500 - 1.81635i) q^{4} +(1.34994 + 0.396378i) q^{5} +(-0.0514677 - 0.0235045i) q^{6} +(-1.67496 + 2.04805i) q^{7} +(0.0321834 - 0.223840i) q^{8} +(0.959493 - 0.281733i) q^{9} +O(q^{10})\)	\(q+(0.0475988 + 0.0305899i) q^{2} +(-0.989821 + 0.142315i) q^{3} +(-0.829500 - 1.81635i) q^{4} +(1.34994 + 0.396378i) q^{5} +(-0.0514677 - 0.0235045i) q^{6} +(-1.67496 + 2.04805i) q^{7} +(0.0321834 - 0.223840i) q^{8} +(0.959493 - 0.281733i) q^{9} +(0.0521303 + 0.0601616i) q^{10} +(-2.64854 - 4.12121i) q^{11} +(1.07955 + 1.67981i) q^{12} +(5.25957 - 4.55745i) q^{13} +(-0.142376 + 0.0462480i) q^{14} +(-1.39261 - 0.200227i) q^{15} +(-2.60687 + 3.00849i) q^{16} +(-2.10466 + 4.60856i) q^{17} +(0.0542889 + 0.0159407i) q^{18} +(-2.25637 - 4.94077i) q^{19} +(-0.399813 - 2.78076i) q^{20} +(1.36644 - 2.26558i) q^{21} -0.277184i q^{22} +(-2.49928 - 4.09311i) q^{23} +0.226142i q^{24} +(-2.54105 - 1.63303i) q^{25} +(0.389762 - 0.0560393i) q^{26} +(-0.909632 + 0.415415i) q^{27} +(5.10936 + 1.34346i) q^{28} +(2.06655 - 4.52510i) q^{29} +(-0.0601616 - 0.0521303i) q^{30} +(-6.92521 - 0.995695i) q^{31} +(-0.650077 + 0.190880i) q^{32} +(3.20809 + 3.70234i) q^{33} +(-0.241155 + 0.154981i) q^{34} +(-3.07289 + 2.10083i) q^{35} +(-1.30763 - 1.50908i) q^{36} +(-1.69673 - 5.77852i) q^{37} +(0.0437369 - 0.304197i) q^{38} +(-4.55745 + 5.25957i) q^{39} +(0.132171 - 0.289414i) q^{40} +(-1.55515 + 5.29634i) q^{41} +(0.134345 - 0.0660395i) q^{42} +(4.87023 - 0.700234i) q^{43} +(-5.28861 + 8.22923i) q^{44} +1.40693 q^{45} +(0.00624494 - 0.271280i) q^{46} -1.42033i q^{47} +(2.15218 - 3.34886i) q^{48} +(-1.38903 - 6.86080i) q^{49} +(-0.0709966 - 0.155461i) q^{50} +(1.42737 - 4.86117i) q^{51} +(-12.6407 - 5.77284i) q^{52} +(9.48338 + 8.21740i) q^{53} +(-0.0560049 - 0.00805229i) q^{54} +(-1.94181 - 6.61321i) q^{55} +(0.404531 + 0.440837i) q^{56} +(2.93655 + 4.56936i) q^{57} +(0.236788 - 0.152174i) q^{58} +(4.73297 - 4.10114i) q^{59} +(0.791486 + 2.69556i) q^{60} +(0.654784 - 4.55412i) q^{61} +(-0.299174 - 0.259236i) q^{62} +(-1.03011 + 2.43698i) q^{63} +(7.60232 + 2.23224i) q^{64} +(8.90657 - 4.06750i) q^{65} +(0.0394474 + 0.274362i) q^{66} +(2.14755 - 3.34165i) q^{67} +10.1166 q^{68} +(3.05636 + 3.69577i) q^{69} +(-0.210530 + 0.00599740i) q^{70} +(4.34704 + 2.79367i) q^{71} +(-0.0321834 - 0.223840i) q^{72} +(-2.71362 + 1.23927i) q^{73} +(0.0960023 - 0.326954i) q^{74} +(2.74759 + 1.25478i) q^{75} +(-7.10251 + 8.19673i) q^{76} +(12.8767 + 1.47851i) q^{77} +(-0.377819 + 0.110938i) q^{78} +(-3.80573 + 3.29769i) q^{79} +(-4.71161 + 3.02797i) q^{80} +(0.841254 - 0.540641i) q^{81} +(-0.236038 + 0.204528i) q^{82} +(-2.35211 + 0.690642i) q^{83} +(-5.24855 - 0.602643i) q^{84} +(-4.66789 + 5.38703i) q^{85} +(0.253238 + 0.115650i) q^{86} +(-1.40152 + 4.77314i) q^{87} +(-1.00773 + 0.460216i) q^{88} +(2.06738 + 14.3789i) q^{89} +(0.0669682 + 0.0430378i) q^{90} +(0.524318 + 18.4054i) q^{91} +(-5.36138 + 7.93482i) q^{92} +6.99642 q^{93} +(0.0434477 - 0.0676059i) q^{94} +(-1.08755 - 7.56411i) q^{95} +(0.616295 - 0.281453i) q^{96} +(-7.20245 - 2.11483i) q^{97} +(0.143755 - 0.369056i) q^{98} +(-3.70234 - 3.20809i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) 320 * q + 4 * q^2 - 36 * q^4 + 12 * q^8 + 32 * q^9	\( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) 320 * q + 4 * q^2 - 36 * q^4 + 12 * q^8 + 32 * q^9 - 4 * q^18 + 52 * q^23 - 68 * q^25 - 88 * q^28 + 24 * q^32 + 28 * q^35 + 14 * q^36 - 44 * q^37 + 110 * q^42 - 44 * q^43 - 154 * q^44 + 40 * q^46 - 16 * q^49 - 166 * q^50 - 44 * q^51 + 110 * q^56 - 44 * q^57 - 62 * q^58 - 84 * q^64 + 72 * q^70 - 40 * q^71 - 12 * q^72 + 22 * q^74 + 72 * q^77 - 8 * q^78 - 88 * q^79 - 32 * q^81 - 304 * q^85 + 330 * q^88 - 412 * q^92 + 24 * q^93 + 148 * q^95 - 60 * q^98 + 44 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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