LMFDB - Embedded newform 483.2.r.a.181.12

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			181.12
Character	$\chi$	$=$	483.181
Dual form			483.2.r.a.475.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.195633 - 1.36066i) q^{2} +(0.909632 + 0.415415i) q^{3} +(0.105862 - 0.0310839i) q^{4} +(1.31999 - 1.52335i) q^{5} +(0.387284 - 1.31897i) q^{6} +(1.67278 + 2.04983i) q^{7} +(-1.20511 - 2.63882i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})$	\(q+(-0.195633 - 1.36066i) q^{2} +(0.909632 + 0.415415i) q^{3} +(0.105862 - 0.0310839i) q^{4} +(1.31999 - 1.52335i) q^{5} +(0.387284 - 1.31897i) q^{6} +(1.67278 + 2.04983i) q^{7} +(-1.20511 - 2.63882i) q^{8} +(0.654861 + 0.755750i) q^{9} +(-2.33100 - 1.49804i) q^{10} +(-5.20476 - 0.748332i) q^{11} +(0.109208 + 0.0157018i) q^{12} +(2.27912 - 3.54637i) q^{13} +(2.46187 - 2.67711i) q^{14} +(1.83353 - 0.837344i) q^{15} +(-3.16914 + 2.03668i) q^{16} +(-0.126185 - 0.0370512i) q^{17} +(0.900206 - 1.03889i) q^{18} +(7.51462 - 2.20649i) q^{19} +(0.0923852 - 0.202295i) q^{20} +(0.670090 + 2.55949i) q^{21} +7.22831i q^{22} +(0.0737674 + 4.79526i) q^{23} -2.90097i q^{24} +(0.133354 + 0.927495i) q^{25} +(-5.27128 - 2.40731i) q^{26} +(0.281733 + 0.959493i) q^{27} +(0.240801 + 0.165002i) q^{28} +(1.12160 + 0.329330i) q^{29} +(-1.49804 - 2.33100i) q^{30} +(-7.25781 + 3.31453i) q^{31} +(-0.408241 - 0.471136i) q^{32} +(-4.42355 - 2.84284i) q^{33} +(-0.0257281 + 0.178943i) q^{34} +(5.33066 + 0.157515i) q^{35} +(0.0928166 + 0.0596496i) q^{36} +(4.47195 - 3.87497i) q^{37} +(-4.47240 - 9.79319i) q^{38} +(3.54637 - 2.27912i) q^{39} +(-5.61057 - 1.64741i) q^{40} +(1.18139 + 1.02368i) q^{41} +(3.35150 - 1.41249i) q^{42} +(-5.46028 - 2.49363i) q^{43} +(-0.574248 + 0.0825644i) q^{44} +2.01568 q^{45} +(6.51029 - 1.03849i) q^{46} -1.35831i q^{47} +(-3.72882 + 0.536123i) q^{48} +(-1.40358 + 6.85784i) q^{49} +(1.23592 - 0.362898i) q^{50} +(-0.0993900 - 0.0861219i) q^{51} +(0.131037 - 0.446270i) q^{52} +(-0.912808 - 1.42036i) q^{53} +(1.25043 - 0.571051i) q^{54} +(-8.01020 + 6.94088i) q^{55} +(3.39323 - 6.88443i) q^{56} +(7.75215 + 1.11459i) q^{57} +(0.228685 - 1.59054i) q^{58} +(-2.17224 + 3.38008i) q^{59} +(0.168073 - 0.145636i) q^{60} +(-3.75546 - 8.22331i) q^{61} +(5.92982 + 9.22698i) q^{62} +(-0.453715 + 2.60656i) q^{63} +(-5.49513 + 6.34171i) q^{64} +(-2.39396 - 8.15307i) q^{65} +(-3.00275 + 6.57510i) q^{66} +(-0.970645 + 0.139558i) q^{67} -0.0145099 q^{68} +(-1.92492 + 4.39257i) q^{69} +(-0.828531 - 7.28404i) q^{70} +(1.54444 + 10.7418i) q^{71} +(1.20511 - 2.63882i) q^{72} +(3.68239 + 12.5411i) q^{73} +(-6.14738 - 5.32673i) q^{74} +(-0.263993 + 0.899076i) q^{75} +(0.726927 - 0.467168i) q^{76} +(-7.17250 - 11.9207i) q^{77} +(-3.79489 - 4.37954i) q^{78} +(-7.46401 + 11.6142i) q^{79} +(-1.08065 + 7.51611i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(1.16176 - 1.80773i) q^{82} +(7.68938 + 8.87402i) q^{83} +(0.150496 + 0.250124i) q^{84} +(-0.223004 + 0.143316i) q^{85} +(-2.32476 + 7.91742i) q^{86} +(0.883431 + 0.765497i) q^{87} +(4.29759 + 14.6362i) q^{88} +(7.67463 - 16.8051i) q^{89} +(-0.394334 - 2.74266i) q^{90} +(11.0819 - 1.26053i) q^{91} +(0.156865 + 0.505344i) q^{92} -7.97884 q^{93} +(-1.84820 + 0.265731i) q^{94} +(6.55797 - 14.3599i) q^{95} +(-0.175633 - 0.598150i) q^{96} +(-11.1267 + 12.8409i) q^{97} +(9.60578 + 0.568175i) q^{98} +(-2.84284 - 4.42355i) 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 $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$1$	$-1$	$e\left(\frac{5}{22}\right)$

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 $

$2$	−0.195633	−	1.36066i	−0.138334	−	0.962132i	−0.934223	−	0.356690i	$-0.883905\pi$
$2$	−0.195633	−	1.36066i	−0.138334	−	0.962132i	0.795889	−	0.605442i	$-0.207004\pi$
$3$	0.909632	+	0.415415i	0.525176	+	0.239840i
$3$	0.909632	+	0.415415i	0.525176	+	0.239840i
$4$	0.105862	−	0.0310839i	0.0529310	−	0.0155420i
$5$	1.31999	−	1.52335i	0.590317	−	0.681263i	−0.379473	−	0.925203i	$-0.623895\pi$
$5$	1.31999	−	1.52335i	0.590317	−	0.681263i	0.969790	+	0.243940i	$0.0784401\pi$
$6$	0.387284	−	1.31897i	0.158108	−	0.538467i
$7$	1.67278	+	2.04983i	0.632253	+	0.774762i
$7$	1.67278	+	2.04983i	0.632253	+	0.774762i
$8$	−1.20511	−	2.63882i	−0.426070	−	0.932963i
$9$	0.654861	+	0.755750i	0.218287	+	0.251917i
$10$	−2.33100	−	1.49804i	−0.737125	−	0.473722i
$11$	−5.20476	−	0.748332i	−1.56929	−	0.225631i	−0.697894	−	0.716201i	$-0.745879\pi$
$11$	−5.20476	−	0.748332i	−1.56929	−	0.225631i	−0.871401	+	0.490571i	$0.836788\pi$
$12$	0.109208	+	0.0157018i	0.0315257	+	0.00453271i
$13$	2.27912	−	3.54637i	0.632113	−	0.983587i	−0.366473	−	0.930429i	$-0.619435\pi$
$13$	2.27912	−	3.54637i	0.632113	−	0.983587i	0.998586	−	0.0531582i	$-0.0169288\pi$
$14$	2.46187	−	2.67711i	0.657961	−	0.715487i
$15$	1.83353	−	0.837344i	0.473415	−	0.216201i
$16$	−3.16914	+	2.03668i	−0.792285	+	0.509171i
$17$	−0.126185	−	0.0370512i	−0.0306043	−	0.00898622i	0.266395	−	0.963864i	$-0.414168\pi$
$17$	−0.126185	−	0.0370512i	−0.0306043	−	0.00898622i	−0.296999	+	0.954878i	$0.595986\pi$
$18$	0.900206	−	1.03889i	0.212181	−	0.244869i
$19$	7.51462	−	2.20649i	1.72397	−	0.506204i	0.738242	−	0.674536i	$-0.235656\pi$
$19$	7.51462	−	2.20649i	1.72397	−	0.506204i	0.985730	+	0.168331i	$0.0538379\pi$
$20$	0.0923852	−	0.202295i	0.0206580	−	0.0452346i
$21$	0.670090	+	2.55949i	0.146226	+	0.558526i
$22$			7.22831i			1.54108i
$23$	0.0737674	+	4.79526i	0.0153816	+	0.999882i
$23$	0.0737674	+	4.79526i	0.0153816	+	0.999882i
$24$		−	2.90097i		−	0.592158i
$25$	0.133354	+	0.927495i	0.0266707	+	0.185499i
$26$	−5.27128	−	2.40731i	−1.03378	−	0.472113i
$27$	0.281733	+	0.959493i	0.0542195	+	0.184655i
$28$	0.240801	+	0.165002i	0.0455071	+	0.0311825i
$29$	1.12160	+	0.329330i	0.208275	+	0.0611551i	0.384206	−	0.923247i	$-0.374475\pi$
$29$	1.12160	+	0.329330i	0.208275	+	0.0611551i	−0.175931	+	0.984403i	$0.556293\pi$
$30$	−1.49804	−	2.33100i	−0.273503	−	0.425580i
$31$	−7.25781	+	3.31453i	−1.30354	+	0.595307i	−0.941550	−	0.336874i	$-0.890630\pi$
$31$	−7.25781	+	3.31453i	−1.30354	+	0.595307i	−0.361991	+	0.932181i	$0.617903\pi$
$32$	−0.408241	−	0.471136i	−0.0721676	−	0.0832858i
$33$	−4.42355	−	2.84284i	−0.770041	−	0.494875i
$34$	−0.0257281	+	0.178943i	−0.00441233	+	0.0306884i
$35$	5.33066	+	0.157515i	0.901046	+	0.0266249i
$36$	0.0928166	+	0.0596496i	0.0154694	+	0.00994160i
$37$	4.47195	−	3.87497i	0.735184	−	0.637041i	−0.204586	−	0.978849i	$-0.565585\pi$
$37$	4.47195	−	3.87497i	0.735184	−	0.637041i	0.939770	+	0.341808i	$0.111039\pi$
$38$	−4.47240	−	9.79319i	−0.725519	−	1.58866i
$39$	3.54637	−	2.27912i	0.567874	−	0.364951i
$40$	−5.61057	−	1.64741i	−0.887109	−	0.260479i
$41$	1.18139	+	1.02368i	0.184502	+	0.159872i	0.742215	−	0.670162i	$-0.233776\pi$
$41$	1.18139	+	1.02368i	0.184502	+	0.159872i	−0.557713	+	0.830034i	$0.688321\pi$
$42$	3.35150	−	1.41249i	0.517148	−	0.217951i
$43$	−5.46028	−	2.49363i	−0.832685	−	0.380274i	−0.0469950	−	0.998895i	$-0.514964\pi$
$43$	−5.46028	−	2.49363i	−0.832685	−	0.380274i	−0.785690	+	0.618621i	$0.787692\pi$
$44$	−0.574248	+	0.0825644i	−0.0865711	+	0.0124470i
$45$	2.01568			0.300480
$46$	6.51029	−	1.03849i	0.959890	−	0.153116i
$47$		−	1.35831i		−	0.198130i	−0.995081	−	0.0990650i	$-0.968415\pi$
$47$		−	1.35831i		−	0.198130i	0.995081	−	0.0990650i	$-0.0315852\pi$
$48$	−3.72882	+	0.536123i	−0.538209	+	0.0773827i
$49$	−1.40358	+	6.85784i	−0.200512	+	0.979691i
$50$	1.23592	−	0.362898i	0.174785	−	0.0513215i
$51$	−0.0993900	−	0.0861219i	−0.0139174	−	0.0120595i
$52$	0.131037	−	0.446270i	0.0181715	−	0.0618865i
$53$	−0.912808	−	1.42036i	−0.125384	−	0.195101i	0.772887	−	0.634544i	$-0.218812\pi$
$53$	−0.912808	−	1.42036i	−0.125384	−	0.195101i	−0.898270	+	0.439443i	$0.855176\pi$
$54$	1.25043	−	0.571051i	0.170162	−	0.0777102i
$55$	−8.01020	+	6.94088i	−1.08010	+	0.935908i
$56$	3.39323	−	6.88443i	0.453440	−	0.919971i
$57$	7.75215	+	1.11459i	1.02680	+	0.147631i
$58$	0.228685	−	1.59054i	0.0300278	−	0.208848i
$59$	−2.17224	+	3.38008i	−0.282802	+	0.440049i	−0.953372	−	0.301798i	$-0.902413\pi$
$59$	−2.17224	+	3.38008i	−0.282802	+	0.440049i	0.670570	+	0.741846i	$0.266050\pi$
$60$	0.168073	−	0.145636i	0.0216981	−	0.0188015i
$61$	−3.75546	−	8.22331i	−0.480838	−	1.05289i	−0.982232	−	0.187669i	$-0.939907\pi$
$61$	−3.75546	−	8.22331i	−0.480838	−	1.05289i	0.501395	−	0.865219i	$-0.332820\pi$
$62$	5.92982	+	9.22698i	0.753088	+	1.17183i
$63$	−0.453715	+	2.60656i	−0.0571627	+	0.328395i
$64$	−5.49513	+	6.34171i	−0.686891	+	0.792714i
$65$	−2.39396	−	8.15307i	−0.296934	−	1.01126i
$66$	−3.00275	+	6.57510i	−0.369613	+	0.809339i
$67$	−0.970645	+	0.139558i	−0.118583	+	0.0170497i	−0.201351	−	0.979519i	$-0.564533\pi$
$67$	−0.970645	+	0.139558i	−0.118583	+	0.0170497i	0.0827677	+	0.996569i	$0.473624\pi$
$68$	−0.0145099			−0.00175958
$69$	−1.92492	+	4.39257i	−0.231734	+	0.528803i
$70$	−0.828531	−	7.28404i	−0.0990284	−	0.870609i
$71$	1.54444	+	10.7418i	0.183291	+	1.27482i	0.848914	+	0.528530i	$0.177257\pi$
$71$	1.54444	+	10.7418i	0.183291	+	1.27482i	−0.665623	+	0.746288i	$0.731834\pi$
$72$	1.20511	−	2.63882i	0.142023	−	0.310988i
$73$	3.68239	+	12.5411i	0.430992	+	1.46782i	0.833558	+	0.552432i	$0.186300\pi$
$73$	3.68239	+	12.5411i	0.430992	+	1.46782i	−0.402567	+	0.915391i	$0.631882\pi$
$74$	−6.14738	−	5.32673i	−0.714618	−	0.619220i
$75$	−0.263993	+	0.899076i	−0.0304832	+	0.103816i
$76$	0.726927	−	0.467168i	0.0833843	−	0.0535878i
$77$	−7.17250	−	11.9207i	−0.817382	−	1.35849i
$78$	−3.79489	−	4.37954i	−0.429687	−	0.495885i
$79$	−7.46401	+	11.6142i	−0.839767	+	1.30670i	0.110059	+	0.993925i	$0.464896\pi$
$79$	−7.46401	+	11.6142i	−0.839767	+	1.30670i	−0.949826	+	0.312778i	$0.898740\pi$
$80$	−1.08065	+	7.51611i	−0.120821	+	0.840327i
$81$	−0.142315	+	0.989821i	−0.0158128	+	0.109980i
$82$	1.16176	−	1.80773i	0.128295	−	0.199631i
$83$	7.68938	+	8.87402i	0.844019	+	0.974050i	0.999906	−	0.0137251i	$-0.00436896\pi$
$83$	7.68938	+	8.87402i	0.844019	+	0.974050i	−0.155887	+	0.987775i	$0.549824\pi$
$84$	0.150496	+	0.250124i	0.0164205	+	0.0272907i
$85$	−0.223004	+	0.143316i	−0.0241882	+	0.0155448i
$86$	−2.32476	+	7.91742i	−0.250686	+	0.853757i
$87$	0.883431	+	0.765497i	0.0947137	+	0.0820699i
$88$	4.29759	+	14.6362i	0.458124	+	1.56023i
$89$	7.67463	−	16.8051i	0.813509	−	1.78134i	0.221982	−	0.975051i	$-0.428747\pi$
$89$	7.67463	−	16.8051i	0.813509	−	1.78134i	0.591527	−	0.806286i	$-0.298525\pi$
$90$	−0.394334	−	2.74266i	−0.0415665	−	0.289101i
$91$	11.0819	−	1.26053i	1.16170	−	0.132139i
$92$	0.156865	+	0.505344i	0.0163543	+	0.0526857i
$93$	−7.97884			−0.827367
$94$	−1.84820	+	0.265731i	−0.190627	+	0.0274081i
$95$	6.55797	−	14.3599i	0.672833	−	1.47330i
$96$	−0.175633	−	0.598150i	−0.0179254	−	0.0610484i
$97$	−11.1267	+	12.8409i	−1.12974	+	1.30379i	−0.182523	+	0.983202i	$0.558426\pi$
$97$	−11.1267	+	12.8409i	−1.12974	+	1.30379i	−0.947218	+	0.320589i	$0.896119\pi$
$98$	9.60578	+	0.568175i	0.970330	+	0.0573943i
$99$	−2.84284	−	4.42355i	−0.285716	−	0.444584i
$100$	0.0429473	+	0.0940414i	0.00429473	+	0.00940414i
$101$	−3.47969	+	3.01517i	−0.346242	+	0.300021i	−0.810569	−	0.585643i	$-0.800842\pi$
$101$	−3.47969	+	3.01517i	−0.346242	+	0.300021i	0.464326	+	0.885664i	$0.346296\pi$
$102$	−0.0977387	+	0.152084i	−0.00967757	+	0.0150586i
$103$	0.604369	−	4.20348i	0.0595502	−	0.414181i	−0.938140	−	0.346256i	$-0.887453\pi$
$103$	0.604369	−	4.20348i	0.0595502	−	0.414181i	0.997690	−	0.0679252i	$-0.0216379\pi$
$104$	−12.1048	−	1.74041i	−1.18697	−	0.170661i
$105$	4.78351	+	2.35772i	0.466822	+	0.230090i
$106$	−1.75405	+	1.51989i	−0.170368	+	0.147625i
$107$	−7.05167	+	3.22039i	−0.681711	+	0.311327i	−0.726003	−	0.687692i	$-0.758624\pi$
$107$	−7.05167	+	3.22039i	−0.681711	+	0.311327i	0.0442919	+	0.999019i	$0.485897\pi$
$108$	0.0596496	+	0.0928166i	0.00573978	+	0.00893128i
$109$	0.939868	−	3.20090i	0.0900230	−	0.306590i	−0.902157	−	0.431409i	$-0.858017\pi$
$109$	0.939868	−	3.20090i	0.0900230	−	0.306590i	0.992180	+	0.124818i	$0.0398349\pi$
$110$	11.0112	+	9.54130i	1.04988	+	0.909727i
$111$	5.67755	−	1.66708i	0.538889	−	0.158232i
$112$	−9.47614	−	3.08926i	−0.895411	−	0.291907i
$113$	0.565248	−	0.0812704i	0.0531741	−	0.00764528i	−0.115676	−	0.993287i	$-0.536904\pi$
$113$	0.565248	−	0.0812704i	0.0531741	−	0.00764528i	0.168851	+	0.985642i	$0.445994\pi$
$114$		−	10.7661i		−	1.00834i
$115$	7.40224	+	6.21733i	0.690262	+	0.579769i
$116$	0.128971			0.0119747
$117$	4.17267	−	0.599940i	0.385764	−	0.0554645i
$118$	5.02410	+	2.29443i	0.462506	+	0.211219i
$119$	−0.135131	−	0.320635i	−0.0123875	−	0.0293926i
$120$	−4.41919	−	3.82925i	−0.403415	−	0.349561i
$121$	15.9751	+	4.69072i	1.45228	+	0.426429i
$122$	−10.4544	+	6.71866i	−0.946501	+	0.608279i
$123$	0.649376	+	1.42194i	0.0585523	+	0.128212i
$124$	−0.665298	+	0.576484i	−0.0597455	+	0.0517698i
$125$	10.0674	+	6.46994i	0.900457	+	0.578689i
$126$	3.63540	+	0.107422i	0.323867	+	0.00956990i
$127$	1.40673	−	9.78403i	0.124827	−	0.868192i	−0.827141	−	0.561995i	$-0.810034\pi$
$127$	1.40673	−	9.78403i	0.124827	−	0.868192i	0.951968	−	0.306197i	$-0.0990568\pi$
$128$	8.65507	+	5.56228i	0.765007	+	0.491640i
$129$	−3.93095	−	4.53656i	−0.346101	−	0.399422i
$130$	−10.6252	+	4.85237i	−0.931893	+	0.425581i
$131$	3.55576	+	5.53287i	0.310668	+	0.483409i	0.961117	−	0.276141i	$-0.0890555\pi$
$131$	3.55576	+	5.53287i	0.310668	+	0.483409i	−0.650449	+	0.759550i	$0.725419\pi$
$132$	−0.556653	−	0.163448i	−0.0484504	−	0.0142263i
$133$	17.0933	+	11.7127i	1.48218	+	1.01562i
$134$	0.379781	+	1.29342i	0.0328081	+	0.111734i
$135$	1.83353	+	0.837344i	0.157805	+	0.0720671i
$136$	0.0542948	+	0.377629i	0.00465574	+	0.0323814i
$137$			9.62727i			0.822514i	0.911520	+	0.411257i	$0.134910\pi$
$137$			9.62727i			0.822514i	−0.911520	+	0.411257i	$0.865090\pi$
$138$	6.35337	+	1.75983i	0.540835	+	0.149807i
$139$			0.835725i			0.0708853i	0.999372	+	0.0354427i	$0.0112841\pi$
$139$			0.835725i			0.0708853i	−0.999372	+	0.0354427i	$0.988716\pi$
$140$	0.569211	−	0.149023i	0.0481071	−	0.0125947i
$141$	0.564263	−	1.23556i	0.0475195	−	0.104053i
$142$	14.3138	−	4.20291i	1.20119	−	0.352701i
$143$	−14.5161	+	16.7525i	−1.21390	+	1.40091i
$144$	−3.61457	−	1.06133i	−0.301214	−	0.0884444i
$145$	1.98218	−	1.27387i	0.164611	−	0.105789i
$146$	16.3438	−	7.46394i	1.35262	−	0.617720i
$147$	−4.12559	+	5.65504i	−0.340273	+	0.466420i
$148$	0.352961	−	0.549218i	0.0290132	−	0.0451454i
$149$	9.44046	+	1.35733i	0.773393	+	0.111197i	0.517701	−	0.855561i	$-0.326788\pi$
$149$	9.44046	+	1.35733i	0.773393	+	0.111197i	0.255691	+	0.966758i	$0.417697\pi$
$150$	1.27498	+	0.183315i	0.104102	+	0.0149676i
$151$	−2.88617	−	1.85483i	−0.234873	−	0.150944i	0.417910	−	0.908488i	$-0.362763\pi$
$151$	−2.88617	−	1.85483i	−0.234873	−	0.150944i	−0.652784	+	0.757544i	$0.726399\pi$
$152$	−14.8785	−	17.1707i	−1.20680	−	1.39272i
$153$	−0.0546320	−	0.119627i	−0.00441673	−	0.00967130i
$154$	−14.8168	+	12.0914i	−1.19397	+	0.974354i
$155$	−4.53105	+	15.4313i	−0.363942	+	1.23947i
$156$	0.304582	−	0.351507i	0.0243861	−	0.0281431i
$157$	−7.01650	+	2.06023i	−0.559978	+	0.164424i	−0.549460	−	0.835520i	$-0.685166\pi$
$157$	−7.01650	+	2.06023i	−0.559978	+	0.164424i	−0.0105183	+	0.999945i	$0.503348\pi$
$158$	17.2632	+	7.88386i	1.37339	+	0.627206i
$159$	−0.240282	−	1.67120i	−0.0190556	−	0.132535i
$160$	−1.25658			−0.0993413
$161$	−9.70607	+	8.17266i	−0.764945	+	0.644096i
$162$	1.37465			0.108003
$163$	−1.61328	−	11.2206i	−0.126362	−	0.878868i	−0.950111	−	0.311913i	$-0.899030\pi$
$163$	−1.61328	−	11.2206i	−0.126362	−	0.878868i	0.823749	−	0.566955i	$-0.191879\pi$
$164$	0.156884	+	0.0716465i	0.0122506	+	0.00559465i
$165$	−10.1697	+	2.98609i	−0.791709	+	0.232467i
$166$	10.5702	−	12.1987i	0.820408	−	0.946802i
$167$	−1.65815	+	5.64713i	−0.128311	+	0.436988i	−0.998440	−	0.0558367i	$-0.982217\pi$
$167$	−1.65815	+	5.64713i	−0.128311	+	0.436988i	0.870129	+	0.492825i	$0.164036\pi$
$168$	5.94649	−	4.85270i	0.458782	−	0.374394i
$169$	−1.98200	−	4.33997i	−0.152461	−	0.333844i
$170$	0.238632	+	0.275396i	0.0183022	+	0.0211219i
$171$	6.58859	+	4.23423i	0.503842	+	0.323800i
$172$	−0.655548	−	0.0942536i	−0.0499851	−	0.00718677i
$173$	2.79952	+	0.402510i	0.212844	+	0.0306023i	0.247912	−	0.968783i	$-0.420256\pi$
$173$	2.79952	+	0.402510i	0.212844	+	0.0306023i	−0.0350681	+	0.999385i	$0.511165\pi$
$174$	0.868753	−	1.35181i	0.0658600	−	0.102480i
$175$	−1.67813	+	1.82485i	−0.126855	+	0.137946i
$176$	18.0187	−	8.22888i	1.35821	−	0.620275i
$177$	−3.38008	+	2.17224i	−0.254062	+	0.163276i
$178$	−24.3674	−	7.15492i	−1.82642	−	0.536284i
$179$	6.25972	−	7.22410i	0.467874	−	0.539955i	−0.471945	−	0.881628i	$-0.656448\pi$
$179$	6.25972	−	7.22410i	0.467874	−	0.539955i	0.939819	+	0.341673i	$0.110994\pi$
$180$	0.213384	−	0.0626552i	0.0159047	−	0.00467004i
$181$	11.0411	−	24.1766i	0.820677	−	1.79703i	0.268568	−	0.963261i	$-0.413450\pi$
$181$	11.0411	−	24.1766i	0.820677	−	1.79703i	0.552109	−	0.833772i	$-0.313823\pi$
$182$	−3.88314	−	14.8321i	−0.287838	−	1.09943i
$183$		−	9.04026i		−	0.668276i
$184$	12.5649	−	5.97347i	0.926299	−	0.440370i
$185$		−	11.9273i		−	0.876910i
$186$	1.56093	+	10.8565i	0.114453	+	0.796037i
$187$	0.629035	+	0.287270i	0.0459996	+	0.0210073i
$188$	−0.0422216	−	0.143794i	−0.00307933	−	0.0104872i
$189$	−1.49552	+	2.18253i	−0.108783	+	0.158756i
$190$	−20.8220	−	6.11388i	−1.51058	−	0.443548i
$191$	−6.99856	−	10.8900i	−0.506398	−	0.787971i	0.490093	−	0.871670i	$-0.336963\pi$
$191$	−6.99856	−	10.8900i	−0.506398	−	0.787971i	−0.996491	+	0.0836995i	$0.973326\pi$
$192$	−7.63299	+	3.48587i	−0.550863	+	0.251571i
$193$	−6.18681	−	7.13996i	−0.445337	−	0.513946i	0.488051	−	0.872815i	$-0.337708\pi$
$193$	−6.18681	−	7.13996i	−0.445337	−	0.513946i	−0.933388	+	0.358869i	$0.883162\pi$
$194$	19.6488	+	12.6275i	1.41070	+	0.906602i
$195$	1.20929	−	8.41077i	0.0865988	−	0.602308i
$196$	0.0645824	+	0.769614i	0.00461303	+	0.0549724i
$197$	8.01912	+	5.15358i	0.571339	+	0.367177i	0.794185	−	0.607677i	$-0.207898\pi$
$197$	8.01912	+	5.15358i	0.571339	+	0.367177i	−0.222846	+	0.974854i	$0.571535\pi$
$198$	−5.46279	+	4.73354i	−0.388224	+	0.336398i
$199$	−0.0493301	−	0.108018i	−0.00349692	−	0.00765719i	0.907875	−	0.419240i	$-0.137703\pi$
$199$	−0.0493301	−	0.108018i	−0.00349692	−	0.00765719i	−0.911372	+	0.411583i	$0.864976\pi$
$200$	2.28678	−	1.46963i	0.161700	−	0.103918i
$201$	−0.940905	−	0.276275i	−0.0663663	−	0.0194869i
$202$	4.78337	+	4.14481i	0.336556	+	0.291628i
$203$	1.20112	+	2.84998i	0.0843020	+	0.200029i
$204$	−0.0131986	−	0.00602761i	−0.000924089	−	0.000422017i
$205$	3.11884	−	0.448421i	0.217829	−	0.0313191i
$206$	−5.83774			−0.406734
$207$	−3.57571	+	3.19598i	−0.248529	+	0.222136i
$208$			15.8808i			1.10113i
$209$	−40.7630	+	5.86084i	−2.81964	+	0.405403i
$210$	2.27224	−	6.96998i	0.156799	−	0.480974i
$211$	−6.84917	+	2.01110i	−0.471516	+	0.138450i	−0.508854	−	0.860853i	$-0.669931\pi$
$211$	−6.84917	+	2.01110i	−0.471516	+	0.138450i	0.0373373	+	0.999303i	$0.488112\pi$
$212$	−0.140782	−	0.121988i	−0.00966895	−	0.00837819i
$213$	−3.05744	+	10.4127i	−0.209492	+	0.713465i
$214$	5.76140	+	8.96492i	0.393841	+	0.612829i
$215$	−11.0062	+	5.02635i	−0.750615	+	0.342794i
$216$	2.19241	−	1.89973i	0.149174	−	0.129260i
$217$	−18.9350	−	9.33276i	−1.28539	−	0.633549i
$218$	−4.53920	−	0.652639i	−0.307434	−	0.0442023i
$219$	−1.86013	+	12.9375i	−0.125696	+	0.874235i
$220$	−0.632227	+	0.983764i	−0.0426247	+	0.0663254i
$221$	−0.418987	+	0.363054i	−0.0281841	+	0.0244216i
$222$	−3.37905	−	7.39908i	−0.226787	−	0.496594i
$223$	−4.81793	−	7.49684i	−0.322632	−	0.502026i	0.641616	−	0.767026i	$-0.278264\pi$
$223$	−4.81793	−	7.49684i	−0.322632	−	0.502026i	−0.964248	+	0.265000i	$0.914628\pi$
$224$	0.282847	−	1.62493i	0.0188985	−	0.108570i
$225$	−0.613626	+	0.708162i	−0.0409084	+	0.0472108i
$226$	−0.221163	−	0.753212i	−0.0147115	−	0.0501029i
$227$	4.13853	−	9.06213i	0.274684	−	0.601474i	−0.721138	−	0.692792i	$-0.756380\pi$
$227$	4.13853	−	9.06213i	0.274684	−	0.601474i	0.995822	+	0.0913174i	$0.0291078\pi$
$228$	0.855305	−	0.122974i	0.0566439	−	0.00814417i
$229$	−23.9807			−1.58469			−0.792344	−	0.610074i	$-0.791140\pi$
$229$	−23.9807			−1.58469			−0.792344	+	0.610074i	$0.791140\pi$
$230$	7.01154	−	11.2882i	0.462328	−	0.744325i
$231$	−1.57231	−	13.8230i	−0.103450	−	0.909485i
$232$	−0.482601	−	3.35656i	−0.0316843	−	0.220369i
$233$	−9.16083	+	20.0594i	−0.600146	+	1.31414i	0.328967	+	0.944341i	$0.393299\pi$
$233$	−9.16083	+	20.0594i	−0.600146	+	1.31414i	−0.929113	+	0.369795i	$0.879428\pi$
$234$	−1.63263	−	5.56022i	−0.106728	−	0.363483i
$235$	−2.06918	−	1.79296i	−0.134979	−	0.116960i
$236$	−0.124892	+	0.425344i	−0.00812979	+	0.0276875i
$237$	−11.6142	+	7.46401i	−0.754426	+	0.484840i
$238$	−0.409840	+	0.246595i	−0.0265659	+	0.0159844i
$239$	3.77723	+	4.35916i	0.244329	+	0.281970i	0.864647	−	0.502380i	$-0.167542\pi$
$239$	3.77723	+	4.35916i	0.244329	+	0.281970i	−0.620318	+	0.784350i	$0.712997\pi$
$240$	−4.10530	+	6.38797i	−0.264996	+	0.412342i
$241$	2.12432	−	14.7750i	0.136839	−	0.951739i	−0.799506	−	0.600659i	$-0.794905\pi$
$241$	2.12432	−	14.7750i	0.136839	−	0.951739i	0.936345	−	0.351081i	$-0.114186\pi$
$242$	3.25721	−	22.6544i	0.209381	−	1.45628i
$243$	−0.540641	+	0.841254i	−0.0346821	+	0.0539664i
$244$	−0.653174	−	0.753802i	−0.0418152	−	0.0482573i
$245$	8.59417	+	11.1904i	0.549062	+	0.714930i
$246$	1.80773	−	1.16176i	0.115257	−	0.0740710i
$247$	9.30165	−	31.6785i	0.591850	−	2.01565i
$248$	17.4929	+	15.1577i	1.11080	+	0.962512i
$249$	3.30811	+	11.2664i	0.209643	+	0.713977i
$250$	6.83386	−	14.9641i	0.432211	−	0.946411i
$251$	−3.24105	−	22.5420i	−0.204573	−	1.42284i	−0.790494	−	0.612470i	$-0.790176\pi$
$251$	−3.24105	−	22.5420i	−0.204573	−	1.42284i	0.585921	−	0.810368i	$-0.300733\pi$
$252$	0.0329908	+	0.290039i	0.00207823	+	0.0182707i
$253$	3.20451	−	25.0134i	0.201466	−	1.57258i
$254$	−13.5879			−0.852583
$255$	−0.262388	+	0.0377256i	−0.0164313	+	0.00236247i
$256$	−1.09659	+	2.40120i	−0.0685368	+	0.150075i
$257$	−5.14507	−	17.5225i	−0.320940	−	1.09302i	−0.949110	−	0.314946i	$-0.898014\pi$
$257$	−5.14507	−	17.5225i	−0.320940	−	1.09302i	0.628169	−	0.778077i	$-0.283805\pi$
$258$	−5.40370	+	6.23620i	−0.336419	+	0.388249i
$259$	15.4236	+	2.68474i	0.958377	+	0.166821i
$260$	−0.506858	−	0.788687i	−0.0314340	−	0.0489123i
$261$	0.485598	+	1.06331i	0.0300578	+	0.0658173i
$262$	6.83274	−	5.92060i	0.422128	−	0.365776i
$263$	−8.68679	+	13.5169i	−0.535650	+	0.833488i	−0.998600	−	0.0528963i	$-0.983155\pi$
$263$	−8.68679	+	13.5169i	−0.535650	+	0.833488i	0.462950	+	0.886385i	$0.346791\pi$
$264$	−2.17089	+	15.0989i	−0.133609	+	0.929271i
$265$	−3.36860	−	0.484331i	−0.206931	−	0.0297522i
$266$	12.5930	−	25.5495i	0.772125	−	1.56654i
$267$	13.9622	−	12.0983i	0.854471	−	0.740404i
$268$	−0.0984165	+	0.0449453i	−0.00601175	+	0.00274547i
$269$	−12.9245	−	20.1109i	−0.788020	−	1.22618i	−0.970054	−	0.242890i	$-0.921904\pi$
$269$	−12.9245	−	20.1109i	−0.788020	−	1.22618i	0.182034	−	0.983292i	$-0.441732\pi$
$270$	0.780641	−	2.65862i	0.0475083	−	0.161798i
$271$	14.0810	+	12.2013i	0.855360	+	0.741173i	0.967595	−	0.252508i	$-0.0812555\pi$
$271$	14.0810	+	12.2013i	0.855360	+	0.741173i	−0.112235	+	0.993682i	$0.535801\pi$
$272$	0.475358	−	0.139578i	0.0288228	−	0.00846315i
$273$	10.6041	+	3.45698i	0.641790	+	0.209226i
$274$	13.0994	−	1.88342i	0.791367	−	0.113781i
$275$		−	4.92718i		−	0.297120i
$276$	−0.0672381	+	0.524841i	−0.00404726	+	0.0315917i
$277$	23.9346			1.43809			0.719046	−	0.694963i	$-0.244579\pi$
$277$	23.9346			1.43809			0.719046	+	0.694963i	$0.244579\pi$
$278$	1.13714	−	0.163496i	0.0682010	−	0.00980583i
$279$	−7.25781	−	3.31453i	−0.434514	−	0.198436i
$280$	−6.00837	−	14.2565i	−0.359069	−	0.851987i
$281$	8.75377	+	7.58518i	0.522206	+	0.452494i	0.875639	−	0.482966i	$-0.160440\pi$
$281$	8.75377	+	7.58518i	0.522206	+	0.452494i	−0.353433	+	0.935460i	$0.614986\pi$
$282$	−1.79157	−	0.526052i	−0.106686	−	0.0313260i
$283$	3.64536	−	2.34273i	0.216694	−	0.139261i	−0.427791	−	0.903878i	$-0.640708\pi$
$283$	3.64536	−	2.34273i	0.216694	−	0.139261i	0.644485	+	0.764617i	$0.277072\pi$
$284$	0.497395	+	1.08914i	0.0295150	+	0.0646287i
$285$	11.9307	−	10.3380i	0.706712	−	0.612370i
$286$	25.6343	+	16.4742i	1.51579	+	0.974137i
$287$	−0.122156	+	4.13403i	−0.00721063	+	0.244024i
$288$	0.0887194	−	0.617057i	0.00522784	−	0.0363604i
$289$	−14.2868	−	9.18154i	−0.840398	−	0.540091i
$290$	−2.12109	−	2.44786i	−0.124554	−	0.143743i
$291$	−15.4554	+	7.05827i	−0.906014	+	0.413763i
$292$	0.779651	+	1.21316i	0.0456257	+	0.0709949i
$293$	−22.3124	−	6.55152i	−1.30351	−	0.382744i	−0.444992	−	0.895535i	$-0.646793\pi$
$293$	−22.3124	−	6.55152i	−1.30351	−	0.382744i	−0.858513	+	0.512791i	$0.828612\pi$
$294$	8.50169	+	4.50721i	0.495829	+	0.262866i
$295$	2.28170	+	7.77075i	0.132846	+	0.452431i
$296$	−15.6145	−	7.13090i	−0.907575	−	0.414475i
$297$	−0.748332	−	5.20476i	−0.0434226	−	0.302011i
$298$		−	13.1108i		−	0.759488i
$299$	17.1739	+	10.6674i	0.993193	+	0.616909i
$300$			0.103384i			0.00596888i
$301$	−4.02237	−	15.3639i	−0.231846	−	0.885562i
$302$	−1.95916	+	4.28997i	−0.112737	+	0.246860i
$303$	−4.41779	+	1.29718i	−0.253795	+	0.0745210i
$304$	−19.3210	+	22.2976i	−1.10813	+	1.27885i
$305$	−17.4842	−	5.13381i	−1.00114	−	0.293961i
$306$	−0.152084	+	0.0977387i	−0.00869408	+	0.00558735i
$307$	−16.1657	+	7.38265i	−0.922628	+	0.421350i	−0.819344	−	0.573302i	$-0.805662\pi$
$307$	−16.1657	+	7.38265i	−0.922628	+	0.421350i	−0.103284	+	0.994652i	$0.532935\pi$
$308$	−1.12984	−	1.03900i	−0.0643784	−	0.0592023i
$309$	2.29594	−	3.57255i	0.130611	−	0.203235i
$310$	21.8832	+	3.14633i	1.24288	+	0.178700i
$311$	17.0070	+	2.44524i	0.964381	+	0.138657i	0.606477	−	0.795101i	$-0.292582\pi$
$311$	17.0070	+	2.44524i	0.964381	+	0.138657i	0.357904	+	0.933758i	$0.383491\pi$
$312$	−10.2879	−	6.61165i	−0.582439	−	0.374311i
$313$	−3.28139	−	3.78693i	−0.185475	−	0.214050i	0.655396	−	0.755286i	$-0.272502\pi$
$313$	−3.28139	−	3.78693i	−0.185475	−	0.214050i	−0.840871	+	0.541236i	$0.817956\pi$
$314$	4.17594	+	9.14403i	0.235662	+	0.516027i
$315$	3.37180	+	4.13180i	0.189979	+	0.232800i
$316$	−0.429140	+	1.46152i	−0.0241410	+	0.0822168i
$317$	−18.7098	+	21.5923i	−1.05085	+	1.21274i	−0.0743463	+	0.997232i	$0.523687\pi$
$317$	−18.7098	+	21.5923i	−1.05085	+	1.21274i	−0.976502	+	0.215511i	$0.930858\pi$
$318$	−2.22692	+	0.653884i	−0.124880	+	0.0366680i
$319$	−5.59119	−	2.55341i	−0.313047	−	0.142964i
$320$	2.40714	+	16.7420i	0.134563	+	0.935906i
$321$	−7.75223			−0.432687
$322$	13.0190	+	11.6078i	0.725523	+	0.646878i
$323$	−1.02998			−0.0573098
$324$	0.0157018	+	0.109208i	0.000872321	+	0.00606712i
$325$	3.59317	+	1.64095i	0.199313	+	0.0910233i
$326$	−14.9519	+	4.39026i	−0.828107	+	0.243154i
$327$	2.18463	−	2.52120i	0.120811	−	0.139423i
$328$	1.27760	−	4.35111i	0.0705436	−	0.240250i
$329$	2.78430	−	2.27216i	0.153504	−	0.125268i
$330$	6.05258	+	13.2533i	0.333184	+	0.729571i
$331$	22.6990	+	26.1960i	1.24765	+	1.43986i	0.853729	+	0.520718i	$0.174336\pi$
$331$	22.6990	+	26.1960i	1.24765	+	1.43986i	0.393920	+	0.919145i	$0.371119\pi$
$332$	1.08985	+	0.700406i	0.0598134	+	0.0384398i
$333$	5.85701	+	0.842111i	0.320962	+	0.0461474i
$334$	8.00821	+	1.15141i	0.438190	+	0.0630022i
$335$	−1.06865	+	1.66285i	−0.0583864	+	0.0908510i
$336$	−7.33647	−	6.74662i	−0.400237	−	0.368058i
$337$	−3.15591	+	1.44126i	−0.171913	+	0.0785102i	−0.499513	−	0.866306i	$-0.666488\pi$
$337$	−3.15591	+	1.44126i	−0.171913	+	0.0785102i	0.327599	+	0.944817i	$0.393760\pi$
$338$	−5.51748	+	3.54587i	−0.300111	+	0.192870i
$339$	0.547929	+	0.160886i	0.0297594	+	0.00873815i
$340$	−0.0191529	+	0.0221036i	−0.00103871	+	0.00119874i
$341$	40.2555	−	11.8201i	2.17996	−	0.640094i
$342$	4.47240	−	9.79319i	0.241840	−	0.529555i
$343$	−16.4053	+	8.59459i	−0.885802	+	0.464064i
$344$			17.4138i			0.938887i
$345$	4.15054	+	8.73048i	0.223458	+	0.470033i
$346$		−	3.88794i		−	0.209017i
$347$	−1.00863	−	7.01517i	−0.0541460	−	0.376594i	−0.998819	−	0.0485810i	$-0.984530\pi$
$347$	−1.00863	−	7.01517i	−0.0541460	−	0.376594i	0.944673	−	0.328013i	$-0.106379\pi$
$348$	0.117316	+	0.0535766i	0.00628882	+	0.00287201i
$349$	−4.32803	−	14.7399i	−0.231674	−	0.789009i	−0.990476	−	0.137688i	$-0.956033\pi$
$349$	−4.32803	−	14.7399i	−0.231674	−	0.789009i	0.758802	−	0.651322i	$-0.225785\pi$
$350$	2.81130	+	1.92637i	0.150270	+	0.102969i
$351$	4.04482	+	1.18767i	0.215897	+	0.0633929i
$352$	1.77223	+	2.75765i	0.0944604	+	0.146983i
$353$	−10.9109	+	4.98286i	−0.580731	+	0.265211i	−0.684047	−	0.729438i	$-0.739782\pi$
$353$	−10.9109	+	4.98286i	−0.580731	+	0.265211i	0.103317	+	0.994649i	$0.467055\pi$
$354$	3.61694	+	4.17417i	0.192238	+	0.221855i
$355$	18.4022	+	11.8264i	0.976686	+	0.627678i
$356$	0.290084	−	2.01758i	0.0153744	−	0.106931i
$357$	0.0102770	−	0.347796i	0.000543914	−	0.0184073i
$358$	−11.0542	−	7.10408i	−0.584231	−	0.375462i
$359$	19.8551	−	17.2046i	1.04791	−	0.908022i	0.0520282	−	0.998646i	$-0.483431\pi$
$359$	19.8551	−	17.2046i	1.04791	−	0.908022i	0.995885	+	0.0906234i	$0.0288860\pi$
$360$	−2.42911	−	5.31901i	−0.128025	−	0.280336i
$361$	35.6171	−	22.8897i	1.87459	−	1.20472i
$362$	−35.0561	−	10.2934i	−1.84251	−	0.541010i
$363$	12.5829	+	10.9031i	0.660431	+	0.572266i
$364$	1.13397	−	0.477911i	0.0594363	−	0.0250494i
$365$	23.9652	+	10.9445i	1.25439	+	0.572863i
$366$	−12.3007	+	1.76858i	−0.642969	+	0.0924450i
$367$	28.1571			1.46979			0.734895	−	0.678180i	$-0.237231\pi$
$367$	28.1571			1.46979			0.734895	+	0.678180i	$0.237231\pi$
$368$	−10.0002	−	15.0466i	−0.521297	−	0.784360i
$369$			1.56320i			0.0813769i
$370$	−16.2289	+	2.33337i	−0.843703	+	0.121306i
$371$	1.38456	−	4.24705i	0.0718825	−	0.220496i
$372$	−0.844656	+	0.248014i	−0.0437934	+	0.0128589i
$373$	−7.28362	−	6.31129i	−0.377132	−	0.326786i	0.445583	−	0.895240i	$-0.352996\pi$
$373$	−7.28362	−	6.31129i	−0.377132	−	0.326786i	−0.822715	+	0.568454i	$0.807542\pi$
$374$	0.267817	−	0.912102i	0.0138485	−	0.0471637i
$375$	6.46994	+	10.0674i	0.334106	+	0.519879i
$376$	−3.58433	+	1.63691i	−0.184848	+	0.0844172i
$377$	3.72417	−	3.22702i	0.191805	−	0.166200i
$378$	3.26225	+	1.60791i	0.167792	+	0.0827022i
$379$	−14.0664	−	2.02245i	−0.722545	−	0.103886i	−0.228775	−	0.973479i	$-0.573472\pi$
$379$	−14.0664	−	2.02245i	−0.722545	−	0.103886i	−0.493769	+	0.869593i	$0.664381\pi$
$380$	0.247877	−	1.72402i	0.0127158	−	0.0884404i
$381$	5.34404	−	8.31549i	0.273783	−	0.426015i
$382$	−13.4484	+	11.6531i	−0.688080	+	0.596225i
$383$	−0.958069	−	2.09788i	−0.0489550	−	0.107197i	0.883574	−	0.468292i	$-0.155130\pi$
$383$	−0.958069	−	2.09788i	−0.0489550	−	0.107197i	−0.932529	+	0.361095i	$0.882403\pi$
$384$	5.56228	+	8.65507i	0.283849	+	0.441677i
$385$	−27.6270	−	4.80893i	−1.40800	−	0.245086i
$386$	−8.50472	+	9.81497i	−0.432879	+	0.499569i
$387$	−1.69117	−	5.75958i	−0.0859668	−	0.292776i
$388$	−0.778747	+	1.70522i	−0.0395349	+	0.0865694i
$389$	−20.8507	+	2.99787i	−1.05717	+	0.151998i	−0.648908	−	0.760867i	$-0.724774\pi$
$389$	−20.8507	+	2.99787i	−1.05717	+	0.151998i	−0.408262	+	0.912865i	$0.633865\pi$
$390$	−11.6808			−0.591479
$391$	0.168362	−	0.607822i	0.00851442	−	0.0307389i
$392$	19.7880	−	4.56064i	0.999447	−	0.230347i
$393$	0.935996	+	6.51000i	0.0472148	+	0.328386i
$394$	5.44346	−	11.9195i	0.274237	−	0.600496i
$395$	7.84011	+	26.7010i	0.394479	+	1.34347i
$396$	−0.438450	−	0.379919i	−0.0220330	−	0.0190917i
$397$	−1.72254	+	5.86642i	−0.0864516	+	0.294427i	−0.991358	−	0.131183i	$-0.958122\pi$
$397$	−1.72254	+	5.86642i	−0.0864516	+	0.294427i	0.904907	+	0.425610i	$0.139941\pi$
$398$	−0.137325	+	0.0882534i	−0.00688348	+	0.00442375i
$399$	10.6830	+	17.7550i	0.534817	+	0.888864i
$400$	−2.31163	−	2.66776i	−0.115582	−	0.133388i
$401$	16.6691	−	25.9376i	0.832413	−	1.29526i	−0.120713	−	0.992687i	$-0.538518\pi$
$401$	16.6691	−	25.9376i	0.832413	−	1.29526i	0.953126	−	0.302573i	$-0.0978456\pi$
$402$	−0.191843	+	1.33430i	−0.00956828	+	0.0665488i
$403$	−4.78682	+	33.2931i	−0.238449	+	1.65845i
$404$	−0.274644	+	0.427355i	−0.0136641	+	0.0212617i
$405$	1.31999	+	1.52335i	0.0655908	+	0.0756958i
$406$	3.64287	−	2.19187i	0.180793	−	0.108780i
$407$	−26.1752	+	16.8218i	−1.29746	+	0.833825i
$408$	−0.107484	+	0.366058i	−0.00532127	+	0.0181226i
$409$	2.87157	+	2.48823i	0.141990	+	0.123035i	0.722960	−	0.690890i	$-0.242781\pi$
$409$	2.87157	+	2.48823i	0.141990	+	0.123035i	−0.580970	+	0.813925i	$0.697327\pi$
$410$	−1.22030	−	4.15595i	−0.0602662	−	0.205248i
$411$	−3.99931	+	8.75728i	−0.197272	+	0.431965i
$412$	−0.0666807	−	0.463775i	−0.00328512	−	0.0228485i
$413$	−10.5623	+	1.20142i	−0.519735	+	0.0591179i
$414$	5.04817	+	4.24009i	0.248104	+	0.208389i
$415$	23.6681			1.16182
$416$	−2.60125	+	0.374004i	−0.127537	+	0.0183370i
$417$	−0.347173	+	0.760203i	−0.0170011	+	0.0372273i
$418$	15.9492	+	54.3180i	0.780102	+	2.65678i
$419$	1.48427	−	1.71294i	0.0725116	−	0.0836828i	−0.718335	−	0.695698i	$-0.755095\pi$
$419$	1.48427	−	1.71294i	0.0725116	−	0.0836828i	0.790846	+	0.612015i	$0.209641\pi$
$420$	0.579679	+	0.100903i	0.0282854	+	0.00492355i
$421$	−15.9230	−	24.7766i	−0.776039	−	1.20754i	−0.973826	−	0.227295i	$-0.927012\pi$
$421$	−15.9230	−	24.7766i	−0.776039	−	1.20754i	0.197787	−	0.980245i	$-0.436624\pi$
$422$	4.07635	+	8.92596i	0.198434	+	0.434509i
$423$	1.02654	−	0.889504i	0.0499122	−	0.0432492i
$424$	−2.64803	+	4.12042i	−0.128600	+	0.200105i
$425$	0.0175376	−	0.121977i	0.000850698	−	0.00591673i
$426$	14.7663	+	2.12307i	0.715427	+	0.102863i
$427$	10.5743	−	21.4539i	0.511726	−	1.03823i
$428$	−0.646402	+	0.560111i	−0.0312450	+	0.0270740i
$429$	−20.1636	+	9.20839i	−0.973506	+	0.444585i
$430$	8.99233	+	13.9923i	0.433649	+	0.674771i
$431$	0.364492	−	1.24135i	0.0175570	−	0.0597935i	−0.950249	−	0.311493i	$-0.899171\pi$
$431$	0.364492	−	1.24135i	0.0175570	−	0.0597935i	0.967806	+	0.251699i	$0.0809893\pi$
$432$	−2.84703	−	2.46697i	−0.136978	−	0.118692i
$433$	16.3943	−	4.81380i	0.787860	−	0.231337i	0.137037	−	0.990566i	$-0.456242\pi$
$433$	16.3943	−	4.81380i	0.787860	−	0.231337i	0.650823	+	0.759229i	$0.274424\pi$
$434$	−8.99440	+	27.5899i	−0.431745	+	1.32436i
$435$	2.33224	−	0.335325i	0.111822	−	0.0160776i
$436$		−	0.368068i		−	0.0176273i
$437$	11.1350	+	35.8718i	0.532662	+	1.71598i
$438$	17.9674			0.858517
$439$	32.3304	−	4.64841i	1.54305	−	0.221857i	0.682369	−	0.731008i	$-0.260950\pi$
$439$	32.3304	−	4.64841i	1.54305	−	0.221857i	0.860677	+	0.509151i	$0.170041\pi$
$440$	27.9689	+	12.7730i	1.33336	+	0.608927i
$441$	−6.10196	+	3.43017i	−0.290569	+	0.163342i
$442$	0.575961	+	0.499073i	0.0273957	+	0.0237385i
$443$	−29.5008	−	8.66221i	−1.40162	−	0.411554i	−0.508382	−	0.861131i	$-0.669756\pi$
$443$	−29.5008	−	8.66221i	−1.40162	−	0.411554i	−0.893241	+	0.449578i	$0.851575\pi$
$444$	0.549218	−	0.352961i	0.0260647	−	0.0167508i
$445$	−15.4696	−	33.8737i	−0.733329	−	1.60577i
$446$	−9.25811	+	8.02219i	−0.438384	+	0.379862i
$447$	8.02349	+	5.15638i	0.379498	+	0.243889i
$448$	−22.1916	−	0.655735i	−1.04845	−	0.0309806i
$449$	3.24772	−	22.5884i	0.153269	−	1.06601i	−0.757422	−	0.652925i	$-0.773542\pi$
$449$	3.24772	−	22.5884i	0.153269	−	1.06601i	0.910692	−	0.413087i	$-0.135549\pi$
$450$	1.08361	+	0.696396i	0.0510820	+	0.0328284i
$451$	−5.38279	−	6.21207i	−0.253466	−	0.292515i
$452$	0.0573121	−	0.0261736i	0.00269574	−	0.00123110i
$453$	−1.85483	−	2.88617i	−0.0871475	−	0.135604i
$454$	−13.1401	−	3.85828i	−0.616696	−	0.181078i
$455$	12.7078	−	18.5455i	0.595751	−	0.869427i
$456$	−6.40097	−	21.7997i	−0.299753	−	1.02086i
$457$	−11.6203	−	5.30681i	−0.543574	−	0.248242i	0.124652	−	0.992201i	$-0.460219\pi$
$457$	−11.6203	−	5.30681i	−0.543574	−	0.248242i	−0.668226	+	0.743959i	$0.732946\pi$
$458$	4.69142	+	32.6296i	0.219216	+	1.52468i
$459$		−	0.131512i		−	0.00613844i
$460$	0.976875	+	0.428089i	0.0455470	+	0.0199597i
$461$		−	42.1794i		−	1.96449i	−0.187595	−	0.982246i	$-0.560069\pi$
$461$		−	42.1794i		−	1.96449i	0.187595	−	0.982246i	$-0.439931\pi$
$462$	−18.5008	+	4.84362i	−0.860734	+	0.225345i
$463$	2.55854	−	5.60242i	0.118905	−	0.260367i	−0.840815	−	0.541322i	$-0.817924\pi$
$463$	2.55854	−	5.60242i	0.118905	−	0.260367i	0.959721	+	0.280955i	$0.0906513\pi$
$464$	−4.22524	+	1.24064i	−0.196152	+	0.0575953i
$465$	−10.5320	+	12.1546i	−0.488409	+	0.563654i
$466$	29.0862	+	8.54049i	1.34739	+	0.395630i
$467$	−24.5647	+	15.7868i	−1.13672	+	0.730524i	−0.966951	−	0.254961i	$-0.917937\pi$
$467$	−24.5647	+	15.7868i	−1.13672	+	0.730524i	−0.169766	+	0.985484i	$0.554301\pi$
$468$	0.423079	−	0.193214i	0.0195568	−	0.00893131i
$469$	−1.90975	−	1.75621i	−0.0881841	−	0.0810940i
$470$	−2.03480	+	3.16622i	−0.0938585	+	0.146047i
$471$	−7.23829	−	1.04071i	−0.333523	−	0.0479533i
$472$	11.5372	+	1.65880i	0.531042	+	0.0763523i
$473$	26.5534	+	17.0648i	1.22093	+	0.784642i
$474$	12.4281	+	14.3428i	0.570842	+	0.658787i
$475$	3.04861	+	6.67553i	0.139880	+	0.306294i
$476$	−0.0242719	−	0.0297427i	−0.00111250	−	0.00136325i
$477$	0.475672	−	1.61999i	0.0217795	−	0.0741743i
$478$	5.19238	−	5.99232i	0.237494	−	0.274082i
$479$	12.0823	−	3.54769i	0.552055	−	0.162098i	0.00620474	−	0.999981i	$-0.498025\pi$
$479$	12.0823	−	3.54769i	0.552055	−	0.162098i	0.545850	+	0.837883i	$0.316207\pi$
$480$	−1.14302	−	0.522002i	−0.0521717	−	0.0238260i
$481$	−3.54999	−	24.6907i	−0.161865	−	1.12580i
$482$	−20.5193			−0.934629
$483$	−12.2240	+	3.40206i	−0.556211	+	0.154799i
$484$	1.83697			0.0834985
$485$	4.87402	+	33.8996i	0.221318	+	1.53930i
$486$	1.25043	+	0.571051i	0.0567206	+	0.0259034i
$487$	25.9983	−	7.63379i	1.17810	−	0.345920i	0.366656	−	0.930356i	$-0.380502\pi$
$487$	25.9983	−	7.63379i	1.17810	−	0.345920i	0.811440	+	0.584436i	$0.198684\pi$
$488$	−17.1741	+	19.8199i	−0.777434	+	0.897207i
$489$	3.19373	−	10.8768i	0.144425	−	0.491867i
$490$	13.5451	−	13.8830i	0.611903	−	0.627169i
$491$	0.322193	+	0.705505i	0.0145404	+	0.0318390i	0.916763	−	0.399432i	$-0.130793\pi$
$491$	0.322193	+	0.705505i	0.0145404	+	0.0318390i	−0.902222	+	0.431271i	$0.858065\pi$
$492$	0.112944	+	0.130344i	0.00509189	+	0.00587636i
$493$	−0.129326	−	0.0831129i	−0.00582456	−	0.00374321i
$494$	−44.9234	−	6.45901i	−2.02120	−	0.290605i
$495$	−10.4911	−	1.50840i	−0.471542	−	0.0677974i
$496$	16.2504	−	25.2861i	0.729663	−	1.13538i
$497$	−19.4353	+	21.1346i	−0.871794	+	0.948015i
$498$	14.6825	−	6.70529i	0.657940	−	0.300471i
$499$	28.3254	−	18.2036i	1.26802	−	0.814905i	0.278657	−	0.960391i	$-0.410111\pi$
$499$	28.3254	−	18.2036i	1.26802	−	0.814905i	0.989360	+	0.145486i	$0.0464745\pi$
$500$	1.26687	+	0.371986i	0.0566561	+	0.0166357i
$501$	−3.85421	+	4.44799i	−0.172193	+	0.198722i
$502$	−30.0379	+	8.81993i	−1.34066	+	0.393653i
$503$	−7.46626	+	16.3488i	−0.332904	+	0.728959i	−0.999870	−	0.0161299i	$-0.994865\pi$
$503$	−7.46626	+	16.3488i	−0.332904	+	0.728959i	0.666966	+	0.745088i	$0.267593\pi$
$504$	7.42500	−	1.94391i	0.330736	−	0.0865887i
$505$			9.28078i			0.412989i
$506$	−34.6617	+	0.533214i	−1.54090	+	0.0237042i
$507$		−	4.77113i		−	0.211893i
$508$	−0.155206	−	1.07948i	−0.00688617	−	0.0478944i
$509$	−8.75231	−	3.99705i	−0.387939	−	0.177166i	0.211891	−	0.977293i	$-0.432038\pi$
$509$	−8.75231	−	3.99705i	−0.387939	−	0.177166i	−0.599830	+	0.800127i	$0.704765\pi$
$510$	0.102664	+	0.349640i	0.00454602	+	0.0154823i
$511$	−19.5472	+	28.5268i	−0.864717	+	1.26195i
$512$	23.2248	+	6.81943i	1.02640	+	0.301379i
$513$	4.23423	+	6.58859i	0.186946	+	0.290893i
$514$	−22.8356	+	10.4287i	−1.00724	+	0.459989i
$515$	−5.60560	−	6.46921i	−0.247012	−	0.285067i
$516$	−0.557153	−	0.358061i	−0.0245273	−	0.0157627i
$517$	−1.01647	+	7.06968i	−0.0447042	+	0.310924i
$518$	0.635641	−	21.5115i	0.0279284	−	0.945162i
$519$	2.37932	+	1.52910i	0.104441	+	0.0671200i
$520$	−18.6295	+	16.1425i	−0.816956	+	0.707897i
$521$	−18.8440	−	41.2626i	−0.825571	−	1.80775i	−0.514973	−	0.857206i	$-0.672198\pi$
$521$	−18.8440	−	41.2626i	−0.825571	−	1.80775i	−0.310597	−	0.950542i	$-0.600529\pi$
$522$	1.35181	−	0.868753i	0.0591669	−	0.0380243i
$523$	−31.7363	−	9.31863i	−1.38773	−	0.407475i	−0.499279	−	0.866441i	$-0.666402\pi$
$523$	−31.7363	−	9.31863i	−1.38773	−	0.407475i	−0.888454	+	0.458966i	$0.848220\pi$
$524$	0.548404	+	0.475194i	0.0239571	+	0.0207590i
$525$	−2.28455	+	0.962822i	−0.0997061	+	0.0420210i
$526$	20.0913	+	9.17541i	0.876024	+	0.400067i
$527$	1.03863	−	0.149333i	0.0452435	−	0.00650503i
$528$	19.8088			0.862068
$529$	−22.9891	+	0.707468i	−0.999527	+	0.0307595i
$530$			4.67827i			0.203211i
$531$	−3.97701	+	0.571808i	−0.172587	+	0.0248143i
$532$	2.17361	+	0.708604i	0.0942377	+	0.0307219i
$533$	6.32286	−	1.85656i	0.273873	−	0.0804165i
$534$	−19.1931	−	16.6309i	−0.830568	−	0.719691i
$535$	−4.40236	+	14.9930i	−0.190330	+	0.648206i
$536$	1.53800	+	2.39317i	0.0664314	+	0.103369i
$537$	8.69504	−	3.97089i	0.375219	−	0.171357i
$538$	−24.8356	+	21.5202i	−1.07074	+	0.927802i
$539$	12.4372	−	34.6431i	0.535710	−	1.49218i
$540$	0.220129	+	0.0316498i	0.00947284	+	0.00136199i
$541$	−3.31250	+	23.0390i	−0.142416	+	0.990523i	0.785800	+	0.618481i	$0.212251\pi$
$541$	−3.31250	+	23.0390i	−0.142416	+	0.990523i	−0.928216	+	0.372042i	$0.878658\pi$
$542$	13.8470	−	21.5464i	0.594782	−	0.925498i
$543$	20.0866	−	17.4052i	0.862000	−	0.746928i
$544$	0.0340577	+	0.0745759i	0.00146021	+	0.00319742i
$545$	−3.63547	−	5.65690i	−0.155726	−	0.242315i
$546$	2.62926	−	15.1049i	0.112522	−	0.646430i
$547$	−18.1993	+	21.0031i	−0.778147	+	0.898029i	−0.996974	−	0.0777345i	$-0.975231\pi$
$547$	−18.1993	+	21.0031i	−0.778147	+	0.898029i	0.218828	+	0.975764i	$0.429777\pi$
$548$	0.299253	+	1.01916i	0.0127835	+	0.0435365i
$549$	3.75546	−	8.22331i	0.160279	−	0.350962i
$550$	−6.70422	+	0.963922i	−0.285869	+	0.0411018i
$551$	9.15504			0.390018
$552$	13.9109	−	0.213997i	0.592088	−	0.00910832i
$553$	−36.2929	+	4.12818i	−1.54333	+	0.175548i
$554$	−4.68241	−	32.5669i	−0.198936	−	1.38363i
$555$	4.95476	−	10.8494i	0.210318	−	0.460532i
$556$	0.0259776	+	0.0884716i	0.00110170	+	0.00375203i
$557$	31.4390	+	27.2420i	1.33211	+	1.15428i	0.975492	+	0.220033i	$0.0706167\pi$
$557$	31.4390	+	27.2420i	1.33211	+	1.15428i	0.356621	+	0.934249i	$0.383929\pi$
$558$	−3.09008	+	10.5238i	−0.130813	+	0.445510i
$559$	−21.2879	+	13.6809i	−0.900384	+	0.578641i
$560$	−17.2144	+	10.3577i	−0.727442	+	0.437692i
$561$	0.452853	+	0.522621i	0.0191195	+	0.0220651i
$562$	8.60833	−	13.3948i	0.363120	−	0.565026i
$563$	5.71776	−	39.7679i	0.240975	−	1.67602i	−0.406285	−	0.913746i	$-0.633176\pi$
$563$	5.71776	−	39.7679i	0.240975	−	1.67602i	0.647260	−	0.762269i	$-0.275915\pi$
$564$	0.0213279	−	0.148339i	0.000898066	−	0.00624619i
$565$	0.622319	−	0.968347i	0.0261811	−	0.0407387i
$566$	−3.90081	−	4.50178i	−0.163963	−	0.189224i
$567$	−2.26702	+	1.36404i	−0.0952061	+	0.0572842i
$568$	26.4845	−	17.0205i	1.11126	−	0.714165i
$569$	0.536853	−	1.82835i	0.0225060	−	0.0766486i	−0.947474	−	0.319832i	$-0.896374\pi$
$569$	0.536853	−	1.82835i	0.0225060	−	0.0766486i	0.969980	+	0.243183i	$0.0781917\pi$
$570$	−16.4005	−	14.2111i	−0.686943	−	0.595239i
$571$	−5.10394	−	17.3824i	−0.213593	−	0.727432i	−0.994680	−	0.103010i	$-0.967153\pi$
$571$	−5.10394	−	17.3824i	−0.213593	−	0.727432i	0.781087	−	0.624422i	$-0.214665\pi$
$572$	−1.01597	+	2.22467i	−0.0424800	+	0.0930182i
$573$	−1.84226	−	12.8132i	−0.0769613	−	0.535278i
$574$	5.64891	−	0.642542i	0.235781	−	0.0268192i
$575$	−4.43775	+	0.707885i	−0.185067	+	0.0295208i
$576$	−8.39129			−0.349637
$577$	−21.7963	+	3.13384i	−0.907394	+	0.130464i	−0.580181	−	0.814487i	$-0.697018\pi$
$577$	−21.7963	+	3.13384i	−0.907394	+	0.130464i	−0.327212	+	0.944951i	$0.606109\pi$
$578$	−9.69799	+	21.2356i	−0.403383	+	0.883286i
$579$	−2.66168	−	9.06484i	−0.110615	−	0.376722i
$580$	0.170241	−	0.196468i	0.00706887	−	0.00815791i
$581$	−5.32752	+	30.6062i	−0.221023	+	1.26976i
$582$	12.6275	+	19.6488i	0.523427	+	0.814468i
$583$	3.68805	+	8.07571i	0.152744	+	0.334462i
$584$	28.6559	−	24.8305i	1.18579	−	1.02749i
$585$	4.59397	−	7.14835i	0.189937	−	0.295548i
$586$	−4.54933	+	31.6413i	−0.187931	+	1.30709i
$587$	−2.83861	−	0.408131i	−0.117162	−	0.0168454i	0.0834843	−	0.996509i	$-0.473395\pi$
$587$	−2.83861	−	0.408131i	−0.117162	−	0.0168454i	−0.200646	+	0.979664i	$0.564304\pi$
$588$	−0.260963	+	0.726894i	−0.0107619	+	0.0299766i
$589$	−47.2262	+	40.9217i	−1.94592	+	1.68615i
$590$	10.1270	−	4.62484i	0.416921	−	0.190402i
$591$	5.15358	+	8.01912i	0.211990	+	0.329863i
$592$	−6.28016	+	21.3883i	−0.258113	+	0.879052i
$593$	24.0401	+	20.8308i	0.987207	+	0.855420i	0.989493	−	0.144578i	$-0.0461823\pi$
$593$	24.0401	+	20.8308i	0.987207	+	0.855420i	−0.00228639	+	0.999997i	$0.500728\pi$
$594$	−6.93551	+	2.03645i	−0.284568	+	0.0835566i
$595$	−0.666812	−	0.217383i	−0.0273366	−	0.00891184i
$596$	1.04158	−	0.149756i	0.0426647	−	0.00613426i
$597$		−	0.118749i		−	0.00486007i
$598$	11.1549	−	25.4548i	0.456156	−	1.04092i
$599$	9.77349			0.399334			0.199667	−	0.979864i	$-0.436014\pi$
$599$	9.77349			0.399334			0.199667	+	0.979864i	$0.436014\pi$
$600$	2.69064	−	0.386855i	0.109845	−	0.0157933i
$601$	13.5884	+	6.20562i	0.554283	+	0.253132i	0.672806	−	0.739819i	$-0.265089\pi$
$601$	13.5884	+	6.20562i	0.554283	+	0.253132i	−0.118524	+	0.992951i	$0.537816\pi$
$602$	−20.1182	+	8.47878i	−0.819956	+	0.345569i
$603$	−0.741108	−	0.642174i	−0.0301803	−	0.0261513i
$604$	−0.363192	−	0.106643i	−0.0147781	−	0.00433923i
$605$	28.2326	−	18.1440i	1.14782	−	0.737659i
$606$	2.62929	+	5.75733i	0.106807	+	0.233876i
$607$	5.80458	−	5.02969i	0.235601	−	0.204149i	−0.529056	−	0.848587i	$-0.677454\pi$
$607$	5.80458	−	5.02969i	0.235601	−	0.204149i	0.764657	+	0.644438i	$0.222909\pi$
$608$	−4.10734	−	2.63963i	−0.166575	−	0.107051i
$609$	−0.0913470	+	3.09139i	−0.00370157	+	0.125270i
$610$	−3.56489	+	24.7943i	−0.144338	+	1.00389i
$611$	−4.81708	−	3.09575i	−0.194878	−	0.125240i
$612$	−0.00950194	−	0.0109658i	−0.000384093	−	0.000443267i
$613$	25.6697	−	11.7229i	1.03679	−	0.473485i	0.177040	−	0.984204i	$-0.443348\pi$
$613$	25.6697	−	11.7229i	1.03679	−	0.473485i	0.859748	+	0.510718i	$0.170620\pi$
$614$	13.2078	+	20.5518i	0.533025	+	0.829403i
$615$	3.02328	+	0.887714i	0.121910	+	0.0357961i
$616$	−22.8128	+	33.2926i	−0.919154	+	1.34140i
$617$	−9.06765	−	30.8816i	−0.365050	−	1.24325i	−0.913423	−	0.407011i	$-0.866571\pi$
$617$	−9.06765	−	30.8816i	−0.365050	−	1.24325i	0.548373	−	0.836234i	$-0.315247\pi$
$618$	−5.31019	−	2.42508i	−0.213607	−	0.0975512i
$619$	−2.19275	−	15.2509i	−0.0881342	−	0.612987i	−0.985241	−	0.171173i	$-0.945244\pi$
$619$	−2.19275	−	15.2509i	−0.0881342	−	0.612987i	0.897107	−	0.441814i	$-0.145665\pi$
$620$			1.77443i			0.0712630i
$621$	−4.58024	+	1.42176i	−0.183799	+	0.0570533i
$622$		−	23.6192i		−	0.947043i
$623$	47.2855	−	12.3796i	1.89445	−	0.495980i
$624$	−6.59712	+	14.4457i	−0.264096	+	0.578290i
$625$	18.6495	−	5.47598i	0.745979	−	0.219039i
$626$	−4.51077	+	5.20571i	−0.180287	+	0.208062i
$627$	−39.5140	−	11.6024i	−1.57804	−	0.463354i
$628$	−0.678741	+	0.436201i	−0.0270847	+	0.0174063i
$629$	−0.707863	+	0.323270i	−0.0282244	+	0.0128896i
$630$	4.96233	−	5.39619i	0.197704	−	0.214989i
$631$	−16.0330	+	24.9478i	−0.638262	+	0.993155i	0.359926	+	0.932981i	$0.382802\pi$
$631$	−16.0330	+	24.9478i	−0.638262	+	0.993155i	−0.998188	+	0.0601741i	$0.980834\pi$
$632$	39.6428	+	5.69977i	1.57690	+	0.226725i
$633$	−7.06567	−	1.01589i	−0.280835	−	0.0403780i
$634$	33.0400	+	21.2335i	1.31219	+	0.843291i
$635$	−13.0476	−	15.0578i	−0.517779	−	0.597549i
$636$	−0.0773841	−	0.169447i	−0.00306848	−	0.00671903i
$637$	21.1215	+	20.6074i	0.836865	+	0.816496i
$638$	−2.38050	+	8.10725i	−0.0942450	+	0.320969i
$639$	−7.10673	+	8.20160i	−0.281138	+	0.324450i
$640$	19.8979	−	5.84255i	0.786533	−	0.230947i
$641$	24.3352	+	11.1135i	0.961184	+	0.438958i	0.833294	−	0.552830i	$-0.186452\pi$
$641$	24.3352	+	11.1135i	0.961184	+	0.438958i	0.127890	+	0.991788i	$0.459179\pi$
$642$	1.51659	+	10.5481i	0.0598552	+	0.416302i
$643$	−2.91807			−0.115078			−0.0575388	−	0.998343i	$-0.518325\pi$
$643$	−2.91807			−0.115078			−0.0575388	+	0.998343i	$0.518325\pi$
$644$	−0.773466	+	1.16688i	−0.0304788	+	0.0459814i
$645$	−12.0996			−0.476421
$646$	0.201499	+	1.40146i	0.00792788	+	0.0551396i
$647$	−0.304561	−	0.139088i	−0.0119735	−	0.00546812i	0.409419	−	0.912346i	$-0.365731\pi$
$647$	−0.304561	−	0.139088i	−0.0119735	−	0.00546812i	−0.421393	+	0.906878i	$0.638459\pi$
$648$	2.78346	−	0.817298i	0.109345	−	0.0321065i
$649$	13.8354	−	15.9669i	0.543088	−	0.626757i
$650$	1.52983	−	5.21011i	0.0600047	−	0.204357i
$651$	−13.3469	−	16.3552i	−0.523106	−	0.641012i
$652$	−0.519567	−	1.13769i	−0.0203478	−	0.0445555i
$653$	11.2396	+	12.9712i	0.439839	+	0.507601i	0.931778	−	0.363028i	$-0.118257\pi$
$653$	11.2396	+	12.9712i	0.439839	+	0.507601i	−0.491939	+	0.870630i	$0.663712\pi$
$654$	−3.85789	−	2.47931i	−0.150855	−	0.0969488i
$655$	13.1221	+	1.88667i	0.512722	+	0.0737183i
$656$	−5.82889	−	0.838068i	−0.227580	−	0.0327210i
$657$	−7.06646	+	10.9956i	−0.275689	+	0.428980i
$658$	−3.63634	−	3.34398i	−0.141759	−	0.130362i
$659$	26.5069	−	12.1053i	1.03256	−	0.471556i	0.174260	−	0.984700i	$-0.444247\pi$
$659$	26.5069	−	12.1053i	1.03256	−	0.471556i	0.858303	+	0.513144i	$0.171519\pi$
$660$	−0.983764	+	0.632227i	−0.0382930	+	0.0246094i
$661$	35.1420	+	10.3186i	1.36687	+	0.401348i	0.881178	−	0.472785i	$-0.156751\pi$
$661$	35.1420	+	10.3186i	1.36687	+	0.401348i	0.485687	+	0.874133i	$0.338569\pi$
$662$	31.2032	−	36.0104i	1.21275	−	1.39958i
$663$	−0.531942	+	0.156192i	−0.0206589	+	0.00606600i
$664$	14.1504	−	30.9850i	0.549141	−	1.20245i
$665$	40.4055	−	10.5784i	1.56686	−	0.410213i
$666$		−	8.13414i		−	0.315192i
$667$	−1.49649	+	5.40264i	−0.0579443	+	0.209191i
$668$			0.649358i			0.0251244i
$669$	−1.26824	−	8.82081i	−0.0490330	−	0.341032i
$670$	2.47163	+	1.12876i	0.0954875	+	0.0436077i
$671$	13.3925	+	45.6107i	0.517012	+	1.76078i
$672$	0.932308	−	1.36059i	0.0359646	−	0.0524860i
$673$	−28.4489	−	8.35335i	−1.09662	−	0.321998i	−0.317114	−	0.948387i	$-0.602714\pi$
$673$	−28.4489	−	8.35335i	−1.09662	−	0.321998i	−0.779510	+	0.626389i	$0.784532\pi$
$674$	2.57846	+	4.01216i	0.0993186	+	0.154543i
$675$	−0.852355	+	0.389257i	−0.0328072	+	0.0149825i
$676$	−0.344721	−	0.397830i	−0.0132585	−	0.0153011i
$677$	−12.6742	−	8.14522i	−0.487109	−	0.313046i	0.273933	−	0.961749i	$-0.411675\pi$
$677$	−12.6742	−	8.14522i	−0.487109	−	0.313046i	−0.761042	+	0.648703i	$0.775312\pi$
$678$	0.111719	−	0.777020i	0.00429053	−	0.0298413i
$679$	−44.9340	−	1.32775i	−1.72441	−	0.0509543i
$680$	0.646929	+	0.415756i	0.0248086	+	0.0159435i
$681$	7.52909	−	6.52399i	0.288515	−	0.250000i
$682$	−23.9585	−	52.4617i	−0.917417	−	2.00886i
$683$	−26.9136	+	17.2963i	−1.02982	+	0.661825i	−0.942449	−	0.334350i	$-0.891483\pi$
$683$	−26.9136	+	17.2963i	−1.02982	+	0.661825i	−0.0873717	+	0.996176i	$0.527847\pi$
$684$	0.829098	+	0.243445i	0.0317013	+	0.00930835i
$685$	14.6657	+	12.7079i	0.560348	+	0.485544i
$686$	14.9037	+	20.6406i	0.569027	+	0.788062i
$687$	−21.8136	−	9.96194i	−0.832241	−	0.380072i
$688$	22.3831	−	3.21821i	0.853348	−	0.122693i
$689$	−7.11751			−0.271156
$690$	11.0672	−	7.35545i	0.421322	−	0.280017i
$691$		−	35.9429i		−	1.36733i	−0.729795	−	0.683666i	$-0.760385\pi$
$691$		−	35.9429i		−	1.36733i	0.729795	−	0.683666i	$-0.239615\pi$
$692$	0.308874	−	0.0444094i	0.0117416	−	0.00168819i
$693$	4.31205	−	13.2270i	0.163801	−	0.502452i
$694$	−9.34794	+	2.74480i	−0.354843	+	0.104191i
$695$	1.27310	+	1.10315i	0.0482915	+	0.0418448i
$696$	0.955378	−	3.25372i	0.0362135	−	0.123332i
$697$	−0.111144	−	0.172944i	−0.00420990	−	0.00655073i
$698$	−19.2093	+	8.77260i	−0.727083	+	0.332048i
$699$	−16.6660	+	14.4411i	−0.630365	+	0.546214i
$700$	−0.120927	+	0.245345i	−0.00457061	+	0.00927319i
$701$	−14.6757	−	2.11005i	−0.554294	−	0.0796954i	−0.140524	−	0.990077i	$-0.544879\pi$
$701$	−14.6757	−	2.11005i	−0.554294	−	0.0796954i	−0.413769	+	0.910382i	$0.635788\pi$
$702$	0.824709	−	5.73597i	0.0311266	−	0.216490i
$703$	25.0549	−	38.9862i	0.944965	−	1.47039i
$704$	33.3465	−	28.8949i	1.25679	−	1.08902i
$705$	−1.13737	−	2.49050i	−0.0428359	−	0.0937976i
$706$	8.91452	+	13.8713i	0.335502	+	0.522052i
$707$	−12.0014	−	2.08904i	−0.451357	−	0.0785663i
$708$	−0.290300	+	0.335024i	−0.0109101	+	0.0125910i
$709$	1.47543	+	5.02486i	0.0554110	+	0.188713i	0.982548	−	0.186011i	$-0.0595559\pi$
$709$	1.47543	+	5.02486i	0.0554110	+	0.188713i	−0.927137	+	0.374723i	$0.877738\pi$
$710$	12.4916	−	27.3527i	0.468801	−	1.02653i
$711$	−13.6653	+	1.96478i	−0.512490	+	0.0736850i
$712$	−53.5943			−2.00853
$713$	−16.4294	−	34.5586i	−0.615287	−	1.29423i
$714$	−0.475242	+	0.0540570i	−0.0177855	+	0.00202303i
$715$	6.35877	+	44.2262i	0.237805	+	1.65397i
$716$	0.438114	−	0.959335i	0.0163731	−	0.0358520i
$717$	1.62503	+	5.53435i	0.0606879	+	0.206684i
$718$	−27.2939	−	23.6503i	−1.01860	−	0.882621i
$719$	1.11048	−	3.78196i	0.0414141	−	0.141043i	−0.936191	−	0.351492i	$-0.885674\pi$
$719$	1.11048	−	3.78196i	0.0414141	−	0.141043i	0.977605	+	0.210449i	$0.0674925\pi$
$720$	−6.38797	+	4.10530i	−0.238066	+	0.152996i
$721$	9.62738	−	5.79266i	0.358542	−	0.215730i
$722$	−38.1131	−	43.9848i	−1.41842	−	1.63695i
$723$	8.07009	−	12.5573i	0.300130	−	0.467011i
$724$	0.417329	−	2.90258i	0.0155099	−	0.107874i
$725$	−0.155883	+	1.08419i	−0.00578936	+	0.0402659i
$726$	12.3738	−	19.2541i	0.459236	−	0.714585i
$727$	15.3461	+	17.7103i	0.569154	+	0.656839i	0.965237	−	0.261376i	$-0.0841762\pi$
$727$	15.3461	+	17.7103i	0.569154	+	0.656839i	−0.396083	+	0.918215i	$0.629631\pi$
$728$	−16.6812	−	27.7241i	−0.618246	−	1.02752i
$729$	−0.841254	+	0.540641i	−0.0311575	+	0.0200237i
$730$	10.2034	−	34.7496i	0.377645	−	1.28614i
$731$	0.596612	+	0.516967i	0.0220665	+	0.0191207i
$732$	−0.281007	−	0.957021i	−0.0103863	−	0.0353725i
$733$	−2.81012	+	6.15331i	−0.103794	+	0.227278i	−0.954403	−	0.298522i	$-0.903506\pi$
$733$	−2.81012	+	6.15331i	−0.103794	+	0.227278i	0.850609	+	0.525799i	$0.176234\pi$
$734$	−5.50848	−	38.3123i	−0.203322	−	1.41413i
$735$	3.16886	+	13.7493i	0.116885	+	0.507151i
$736$	2.22911	−	1.99238i	0.0821659	−	0.0734401i
$737$	5.15641			0.189939
$738$	2.12698	−	0.305814i	0.0782953	−	0.0112572i
$739$	−14.5296	+	31.8153i	−0.534479	+	1.17034i	0.429183	+	0.903218i	$0.358802\pi$
$739$	−14.5296	+	31.8153i	−0.534479	+	1.17034i	−0.963661	+	0.267127i	$0.913926\pi$
$740$	−0.370746	−	1.26264i	−0.0136289	−	0.0464157i
$741$	21.6208	−	24.9517i	0.794260	−	0.916625i
$742$	−6.04966	−	1.05304i	−0.222090	−	0.0386585i
$743$	23.0911	+	35.9304i	0.847130	+	1.31816i	0.946366	+	0.323096i	$0.104724\pi$
$743$	23.0911	+	35.9304i	0.847130	+	1.31816i	−0.0992361	+	0.995064i	$0.531640\pi$
$744$	9.61536	+	21.0547i	0.352516	+	0.771903i
$745$	14.5290	−	12.5895i	0.532302	−	0.461242i
$746$	−7.16261	+	11.1452i	−0.262242	+	0.408056i
$747$	−1.67106	+	11.6225i	−0.0611410	+	0.425245i
$748$	0.0755204	+	0.0108582i	0.00276130	+	0.000397015i
$749$	−18.3972	−	9.06769i	−0.672218	−	0.331326i
$750$	12.4326	−	10.7729i	0.453974	−	0.393371i
$751$	6.81151	−	3.11071i	0.248556	−	0.113512i	−0.287242	−	0.957858i	$-0.592738\pi$
$751$	6.81151	−	3.11071i	0.248556	−	0.113512i	0.535797	+	0.844347i	$0.320011\pi$
$752$	2.76645	+	4.30468i	0.100882	+	0.156975i
$753$	6.41612	−	21.8513i	0.233816	−	0.796306i
$754$	−5.11944	−	4.43602i	−0.186439	−	0.161550i
$755$	−6.63527	+	1.94829i	−0.241482	+	0.0709056i
$756$	−0.0904770	+	0.277533i	−0.00329062	+	0.0100938i
$757$	−6.22597	+	0.895160i	−0.226287	+	0.0325351i	−0.254525	−	0.967066i	$-0.581919\pi$
$757$	−6.22597	+	0.895160i	−0.226287	+	0.0325351i	0.0282386	+	0.999601i	$0.491010\pi$
$758$			19.5353i			0.709554i
$759$	13.3059	−	21.4218i	0.482972	−	0.777562i
$760$	−45.7963			−1.66121
$761$	20.7346	−	2.98118i	0.751628	−	0.108068i	0.244156	−	0.969736i	$-0.421489\pi$
$761$	20.7346	−	2.98118i	0.751628	−	0.108068i	0.507472	+	0.861668i	$0.330580\pi$
$762$	−12.3600	−	5.64463i	−0.447757	−	0.204484i
$763$	8.13348	−	3.42784i	0.294452	−	0.124096i
$764$	−1.07938	−	0.935292i	−0.0390508	−	0.0338377i
$765$	−0.254348	−	0.0746833i	−0.00919597	−	0.00270018i
$766$	−2.66707	+	1.71402i	−0.0963652	+	0.0619301i
$767$	7.03622	+	15.4072i	0.254063	+	0.556321i
$768$	−1.99498	+	1.72866i	−0.0719878	+	0.0623778i
$769$	−19.5099	−	12.5383i	−0.703545	−	0.452141i	0.139333	−	0.990246i	$-0.455504\pi$
$769$	−19.5099	−	12.5383i	−0.703545	−	0.452141i	−0.842878	+	0.538104i	$0.819141\pi$
$770$	−1.13857	+	38.5317i	−0.0410311	+	1.38859i
$771$	2.59899	−	18.0764i	0.0936002	−	0.651004i
$772$	−0.876887	−	0.563541i	−0.0315598	−	0.0202823i
$773$	21.4451	+	24.7490i	0.771327	+	0.890158i	0.996451	−	0.0841716i	$-0.0268244\pi$
$773$	21.4451	+	24.7490i	0.771327	+	0.890158i	−0.225125	+	0.974330i	$0.572279\pi$
$774$	−7.50598	+	3.42787i	−0.269797	+	0.123212i
$775$	−4.04207	−	6.28958i	−0.145195	−	0.225928i
$776$	47.2935	+	13.8866i	1.69774	+	0.498500i
$777$	12.9145	+	8.84933i	0.463306	+	0.317468i
$778$	8.15817	+	27.7842i	0.292485	+	0.996111i
$779$	11.1364	+	5.08583i	0.399004	+	0.182219i
$780$	−0.133422	−	0.927971i	−0.00477728	−	0.0332267i
$781$		−	57.0643i		−	2.04192i
$782$	−0.859976	−	0.110173i	−0.0307527	−	0.00393977i
$783$			1.16895i			0.0417747i
$784$	−9.51910	−	24.5921i	−0.339968	−	0.878290i
$785$	−6.12326	+	13.4081i	−0.218549	+	0.478555i
$786$	8.67478	−	2.54715i	0.309419	−	0.0908537i
$787$	6.62951	−	7.65087i	0.236317	−	0.272724i	−0.625187	−	0.780475i	$-0.714977\pi$
$787$	6.62951	−	7.65087i	0.236317	−	0.272724i	0.861504	+	0.507751i	$0.169523\pi$
$788$	1.00911	+	0.296303i	0.0359482	+	0.0105553i
$789$	−13.5169	+	8.68679i	−0.481215	+	0.309258i
$790$	34.7972	−	15.8913i	1.23803	−	0.565388i
$791$	1.11213	+	1.02271i	0.0395428	+	0.0363635i
$792$	−8.24701	+	12.8326i	−0.293045	+	0.455986i
$793$	−37.7221	−	5.42361i	−1.33955	−	0.192598i
$794$	8.31918	+	1.19612i	0.295237	+	0.0424486i
$795$	−2.86299	−	1.83993i	−0.101540	−	0.0652556i
$796$	−0.00857981	−	0.00990162i	−0.000304103	−	0.000350954i
$797$	13.3079	+	29.1402i	0.471390	+	1.03220i	0.984742	+	0.174022i	$0.0556763\pi$
$797$	13.3079	+	29.1402i	0.471390	+	1.03220i	−0.513352	+	0.858178i	$0.671596\pi$
$798$	22.0686	−	18.0094i	0.781221	−	0.637525i
$799$	−0.0503270	+	0.171398i	−0.00178044	+	0.00606362i
$800$	0.382536	−	0.441470i	0.0135247	−	0.0156083i
$801$	17.7263	−	5.20490i	0.626326	−	0.183906i
$802$	−38.5532	−	17.6067i	−1.36136	−	0.621713i
$803$	−9.78109	−	68.0290i	−0.345167	−	2.40069i
$804$	−0.108194			−0.00381570
$805$	−0.362096	+	25.5736i	−0.0127622	+	0.901349i
$806$	46.2370			1.62863
$807$	−3.40216	−	23.6625i	−0.119762	−	0.832961i
$808$	12.1499	+	5.54867i	0.427431	+	0.195201i
$809$	−1.51646	+	0.445272i	−0.0533158	+	0.0156549i	−0.308282	−	0.951295i	$-0.599754\pi$
$809$	−1.51646	+	0.445272i	−0.0533158	+	0.0156549i	0.254966	+	0.966950i	$0.417936\pi$
$810$	1.81453	−	2.09408i	0.0637560	−	0.0735783i
$811$	−8.24575	+	28.0824i	−0.289547	+	0.986108i	0.678345	+	0.734743i	$0.262697\pi$
$811$	−8.24575	+	28.0824i	−0.289547	+	0.986108i	−0.967892	+	0.251365i	$0.919121\pi$
$812$	0.215741	+	0.264369i	0.00757103	+	0.00927753i
$813$	7.73994	+	16.9481i	0.271452	+	0.594396i
$814$	28.0095	+	32.3246i	0.981731	+	1.13298i
$815$	−19.2225	−	12.3535i	−0.673334	−	0.432725i
$816$	0.490384	+	0.0705066i	0.0171669	+	0.00246822i
$817$	−46.5341	−	6.69059i	−1.62802	−	0.234074i
$818$	2.82386	−	4.39401i	0.0987339	−	0.153633i
$819$	8.20976	+	7.54969i	0.286872	+	0.263807i
$820$	0.316228	−	0.144416i	0.0110432	−	0.00504324i
$821$	−38.0118	+	24.4287i	−1.32662	+	0.852569i	−0.995838	−	0.0911379i	$-0.970950\pi$
$821$	−38.0118	+	24.4287i	−1.32662	+	0.852569i	−0.330784	+	0.943706i	$0.607313\pi$
$822$	12.6981	+	3.72849i	0.442896	+	0.130046i
$823$	−4.43748	+	5.12112i	−0.154681	+	0.178511i	−0.827801	−	0.561022i	$-0.810408\pi$
$823$	−4.43748	+	5.12112i	−0.154681	+	0.178511i	0.673120	+	0.739533i	$0.264954\pi$
$824$	−11.8205	+	3.47082i	−0.411788	+	0.120912i
$825$	2.04683	−	4.48192i	0.0712614	−	0.156041i
$826$	3.70105	+	14.1366i	0.128776	+	0.491876i
$827$		−	51.6811i		−	1.79713i	−0.438842	−	0.898564i	$-0.644611\pi$
$827$		−	51.6811i		−	1.79713i	0.438842	−	0.898564i	$-0.355389\pi$
$828$	−0.279189	+	0.449480i	−0.00970248	+	0.0156205i
$829$			19.5832i			0.680154i	0.940398	+	0.340077i	$0.110453\pi$
$829$			19.5832i			0.680154i	−0.940398	+	0.340077i	$0.889547\pi$
$830$	−4.63028	−	32.2043i	−0.160719	−	1.11783i
$831$	21.7717	+	9.94279i	0.755251	+	0.344912i
$832$	9.96605	+	33.9413i	0.345511	+	1.17670i
$833$	0.431201	−	0.813350i	0.0149402	−	0.0281809i
$834$	1.10230	+	0.323663i	0.0381694	+	0.0112075i
$835$	6.41381	+	9.98009i	0.221959	+	0.345375i
$836$	−4.13308	+	1.88751i	−0.142946	+	0.0652810i
$837$	−5.22503	−	6.03001i	−0.180603	−	0.208427i
$838$	−2.62111	−	1.68448i	−0.0905447	−	0.0581895i
$839$	−2.45071	+	17.0450i	−0.0846078	+	0.588460i	0.902775	+	0.430112i	$0.141526\pi$
$839$	−2.45071	+	17.0450i	−0.0846078	+	0.588460i	−0.987383	+	0.158348i	$0.949383\pi$
$840$	0.456946	−	15.4641i	0.0157661	−	0.533562i
$841$	−23.2468	−	14.9398i	−0.801615	−	0.515167i
$842$	−30.5975	+	26.5129i	−1.05446	+	0.913695i
$843$	4.81171	+	10.5362i	0.165724	+	0.362885i
$844$	−0.662555	+	0.425798i	−0.0228061	+	0.0146566i
$845$	−9.22750	−	2.70944i	−0.317436	−	0.0932076i
$846$	−1.41114	−	1.22276i	−0.0485160	−	0.0420393i
$847$	17.1078	+	40.5928i	0.587831	+	1.39479i
$848$	5.78564	+	2.64221i	0.198680	+	0.0907339i
$849$	4.28914	−	0.616685i	0.147203	−	0.0211646i
$850$	−0.169400			−0.00581036
$851$	18.9114	+	21.1583i	0.648273	+	0.725298i
$852$			1.19734i			0.0410204i
$853$	25.1717	−	3.61915i	0.861864	−	0.123917i	0.302812	−	0.953050i	$-0.402074\pi$
$853$	25.1717	−	3.61915i	0.861864	−	0.123917i	0.559052	+	0.829133i	$0.311165\pi$
$854$	−31.2601	−	10.1909i	−1.06970	−	0.348726i
$855$	15.1471	−	4.44758i	0.518019	−	0.152104i
$856$	16.9960	+	14.7272i	0.580913	+	0.503364i
$857$	−14.1214	+	48.0932i	−0.482379	+	1.64283i	0.254696	+	0.967021i	$0.418024\pi$
$857$	−14.1214	+	48.0932i	−0.482379	+	1.64283i	−0.737075	+	0.675811i	$0.763794\pi$
$858$	16.4742	+	25.6343i	0.562418	+	0.875140i
$859$	−4.29115	+	1.95970i	−0.146412	+	0.0668642i	−0.487274	−	0.873249i	$-0.662009\pi$
$859$	−4.29115	+	1.95970i	−0.146412	+	0.0668642i	0.340861	+	0.940114i	$0.389281\pi$
$860$	−1.00890	+	0.874215i	−0.0344031	+	0.0298105i
$861$	−1.82846	+	3.70970i	−0.0623136	+	0.126426i
$862$	−1.76036	−	0.253101i	−0.0599580	−	0.00862065i
$863$	1.57103	−	10.9267i	0.0534784	−	0.371951i	−0.945454	−	0.325756i	$-0.894381\pi$
$863$	1.57103	−	10.9267i	0.0534784	−	0.371951i	0.998932	−	0.0461950i	$-0.0147095\pi$
$864$	0.337037	−	0.524439i	0.0114662	−	0.0178418i
$865$	4.30850	−	3.73334i	0.146493	−	0.126937i
$866$	−9.75722	−	21.3653i	−0.331564	−	0.726024i
$867$	−9.18154	−	14.2868i	−0.311822	−	0.485204i
$868$	−2.29459	−	0.399412i	−0.0778836	−	0.0135569i
$869$	47.5397	−	54.8638i	1.61267	−	1.86113i
$870$	−0.912528	−	3.10778i	−0.0309376	−	0.105364i
$871$	−1.71729	+	3.76034i	−0.0581881	+	0.127414i
$872$	−9.57922	+	1.37728i	−0.324393	+	0.0466407i
$873$	−16.9909			−0.575054
$874$	46.6310	−	22.1687i	1.57732	−	0.749869i
$875$	3.57837	+	31.4593i	0.120971	+	1.06352i
$876$	0.205230	+	1.42741i	0.00693410	+	0.0482277i
$877$	6.45116	−	14.1261i	0.217840	−	0.477004i	−0.768888	−	0.639383i	$-0.779190\pi$
$877$	6.45116	−	14.1261i	0.217840	−	0.477004i	0.986728	+	0.162380i	$0.0519170\pi$
$878$	−12.6498	−	43.0813i	−0.426911	−	1.45392i
$879$	−17.5745	−	15.2284i	−0.592773	−	0.513641i
$880$	11.2491	−	38.3109i	0.379207	−	1.29146i
$881$	5.58257	−	3.58770i	0.188082	−	0.120873i	−0.443211	−	0.896417i	$-0.646161\pi$
$881$	5.58257	−	3.58770i	0.188082	−	0.120873i	0.631293	+	0.775544i	$0.282525\pi$
$882$	5.86105	+	7.63164i	0.197352	+	0.256971i
$883$	12.4882	+	14.4122i	0.420262	+	0.485008i	0.925917	−	0.377728i	$-0.123294\pi$
$883$	12.4882	+	14.4122i	0.420262	+	0.485008i	−0.505655	+	0.862736i	$0.668749\pi$
$884$	−0.0330696	+	0.0514574i	−0.00111225	+	0.00173070i
$885$	−1.15258	+	8.01638i	−0.0387436	+	0.269468i
$886$	−6.01498	+	41.8351i	−0.202077	+	1.40548i
$887$	0.803953	−	1.25097i	0.0269941	−	0.0420036i	−0.827494	−	0.561474i	$-0.810234\pi$
$887$	0.803953	−	1.25097i	0.0269941	−	0.0420036i	0.854488	+	0.519471i	$0.173871\pi$
$888$	−11.2412	−	12.9730i	−0.377229	−	0.435345i
$889$	22.4087	−	13.4830i	0.751564	−	0.452206i
$890$	−43.0642	+	27.6757i	−1.44352	+	0.927691i
$891$	1.48143	−	5.04529i	0.0496298	−	0.169023i
$892$	−0.743067	−	0.643871i	−0.0248797	−	0.0215584i
$893$	−2.99710	−	10.2072i	−0.100294	−	0.341571i
$894$	5.44642	−	11.9260i	0.182156	−	0.398865i
$895$	−2.74207	−	19.0715i	−0.0916572	−	0.637490i
$896$	3.07637	+	27.0459i	0.102774	+	0.903540i
$897$	11.1906	+	16.8377i	0.373642	+	0.562193i
$898$	−31.3705			−1.04685
$899$	−9.23190	+	1.32735i	−0.307901	+	0.0442695i
$900$	−0.0429473	+	0.0940414i	−0.00143158	+	0.00313471i
$901$	0.0625565	+	0.213048i	0.00208406	+	0.00709766i
$902$	−7.39946	+	8.53943i	−0.246375	+	0.284332i
$903$	2.72353	−	15.6465i	0.0906334	−	0.520682i
$904$	−0.895642	−	1.39365i	−0.0297886	−	0.0463520i
$905$	−22.2553	−	48.7323i	−0.739791	−	1.61992i
$906$	−3.56423	+	3.08843i	−0.118414	+	0.102606i
$907$	−23.1128	+	35.9643i	−0.767449	+	1.19417i	0.208892	+	0.977939i	$0.433014\pi$
$907$	−23.1128	+	35.9643i	−0.767449	+	1.19417i	−0.976341	+	0.216236i	$0.930622\pi$
$908$	0.156427	−	1.08798i	0.00519123	−	0.0361058i
$909$	−4.55743	−	0.655259i	−0.151160	−	0.0217336i
$910$	−27.7202	−	13.6629i	−0.918916	−	0.452920i
$911$	14.2895	−	12.3820i	0.473434	−	0.410233i	−0.385191	−	0.922837i	$-0.625865\pi$
$911$	14.2895	−	12.3820i	0.473434	−	0.410233i	0.858625	+	0.512604i	$0.171319\pi$
$912$	−26.8377	+	12.2564i	−0.888686	+	0.405849i
$913$	−33.3807	−	51.9414i	−1.10474	−	1.71901i
$914$	−4.94745	+	16.8495i	−0.163647	+	0.557330i
$915$	−13.7715	−	11.9331i	−0.455271	−	0.394495i
$916$	−2.53865	+	0.745414i	−0.0838792	+	0.0246292i
$917$	−5.39341	+	16.5440i	−0.178106	+	0.546331i
$918$	−0.178943	+	0.0257281i	−0.00590599	+	0.000849154i
$919$			38.9505i			1.28486i	0.766345	+	0.642429i	$0.222073\pi$
$919$			38.9505i			1.28486i	−0.766345	+	0.642429i	$0.777927\pi$
$920$	7.48590	−	27.0257i	0.246803	−	0.891011i
$921$	−17.7717			−0.585599
$922$	−57.3919	+	8.25171i	−1.89010	+	0.271756i
$923$	41.6144	+	19.0047i	1.36976	+	0.625546i
$924$	−0.596120	−	1.41446i	−0.0196109	−	0.0465322i
$925$	4.19036	+	3.63097i	0.137778	+	0.119386i
$926$	−8.12353	−	2.38528i	−0.266956	−	0.0783853i
$927$	3.57255	−	2.29594i	0.117338	−	0.0754086i
$928$	−0.302723	−	0.662870i	−0.00993736	−	0.0217598i
$929$	−40.3082	+	34.9273i	−1.32247	+	1.14593i	−0.344129	+	0.938922i	$0.611826\pi$
$929$	−40.3082	+	34.9273i	−1.32247	+	1.14593i	−0.978340	+	0.207004i	$0.933629\pi$
$930$	18.5986	+	11.9526i	0.609873	+	0.391942i
$931$	4.58438	+	54.6311i	0.150247	+	1.79046i
$932$	−0.346259	+	2.40829i	−0.0113421	+	0.0788860i
$933$	14.4544	+	9.28925i	0.473215	+	0.304117i
$934$	26.2861	+	30.3357i	0.860107	+	0.992616i
$935$	1.26793	−	0.579045i	0.0414658	−	0.0189368i
$936$	−6.61165	−	10.2879i	−0.216108	−	0.336271i
$937$	−14.4880	−	4.25407i	−0.473304	−	0.138975i	0.0363770	−	0.999338i	$-0.488418\pi$
$937$	−14.4880	−	4.25407i	−0.473304	−	0.138975i	−0.509681	+	0.860364i	$0.670236\pi$
$938$	−2.01599	+	2.94209i	−0.0658243	+	0.0960628i
$939$	−1.41171	−	4.80785i	−0.0460695	−	0.156898i
$940$	−0.274780	−	0.125488i	−0.00896233	−	0.00409296i
$941$	3.13640	+	21.8141i	0.102244	+	0.711121i	0.974877	+	0.222744i	$0.0715015\pi$
$941$	3.13640	+	21.8141i	0.102244	+	0.711121i	−0.872633	+	0.488376i	$0.837589\pi$
$942$			10.0524i			0.327526i
$943$	−4.82166	+	5.74058i	−0.157015	+	0.186939i
$944$		−	15.1361i		−	0.492638i
$945$	1.35069	+	5.15911i	0.0439378	+	0.167826i
$946$	18.0247	−	39.4686i	0.586034	−	1.28323i
$947$	−35.0120	+	10.2805i	−1.13774	+	0.334070i	−0.795745	−	0.605632i	$-0.792920\pi$
$947$	−35.0120	+	10.2805i	−1.13774	+	0.334070i	−0.341993	+	0.939702i	$0.611102\pi$
$948$	−0.997496	+	1.15117i	−0.0323972	+	0.0373883i
$949$	52.8679	+	15.5234i	1.71617	+	0.503912i
$950$	8.48672	−	5.45408i	0.275346	−	0.176954i
$951$	−25.9888	+	11.8687i	−0.842745	+	0.384869i
$952$	−0.683250	+	0.742987i	−0.0221443	+	0.0240803i
$953$	17.3137	−	26.9406i	0.560845	−	0.872691i	−0.438820	−	0.898575i	$-0.644604\pi$
$953$	17.3137	−	26.9406i	0.560845	−	0.872691i	0.999665	+	0.0258836i	$0.00823993\pi$
$954$	−2.29731	−	0.330304i	−0.0743783	−	0.0106940i
$955$	−25.8273	−	3.71340i	−0.835750	−	0.120163i
$956$	0.535365	+	0.344058i	0.0173149	+	0.0111276i
$957$	−4.02520	−	4.64533i	−0.130116	−	0.150162i
$958$	−7.19090	−	15.7459i	−0.232327	−	0.508726i
$959$	−19.7342	+	16.1044i	−0.637252	+	0.520037i
$960$	−4.76527	+	16.2290i	−0.153798	+	0.523789i
$961$	21.3890	−	24.6842i	0.689968	−	0.796265i
$962$	−32.9012	+	9.66065i	−1.06078	+	0.311472i
$963$	−7.05167	−	3.22039i	−0.227237	−	0.103776i
$964$	−0.234379	−	1.63014i	−0.00754883	−	0.0525033i
$965$	−19.0432			−0.613022
$966$	7.02047	+	15.9671i	0.225880	+	0.513734i
$967$	−24.3851			−0.784172			−0.392086	−	0.919929i	$-0.628246\pi$
$967$	−24.3851			−0.784172			−0.392086	+	0.919929i	$0.628246\pi$
$968$	−6.87379	−	47.8083i	−0.220932	−	1.53662i
$969$	−0.936906	−	0.427870i	−0.0300977	−	0.0137452i
$970$	45.1723	−	13.2638i	1.45040	−	0.425874i
$971$	−13.4169	+	15.4840i	−0.430570	+	0.496905i	−0.929028	−	0.370009i	$-0.879354\pi$
$971$	−13.4169	+	15.4840i	−0.430570	+	0.496905i	0.498458	+	0.866914i	$0.333900\pi$
$972$	−0.0310839	+	0.105862i	−0.000997017	+	0.00339553i
$973$	−1.71309	+	1.39799i	−0.0549192	+	0.0448175i
$974$	−15.4731	−	33.8814i	−0.495791	−	1.08563i
$975$	2.58679	+	2.98532i	0.0828436	+	0.0956066i
$976$	28.6499	+	18.4122i	0.917060	+	0.589359i
$977$	9.03000	+	1.29832i	0.288895	+	0.0415369i	0.285239	−	0.958456i	$-0.407927\pi$
$977$	9.03000	+	1.29832i	0.288895	+	0.0415369i	0.00365638	+	0.999993i	$0.498836\pi$
$978$	−15.4245	−	2.21770i	−0.493220	−	0.0709143i
$979$	−52.5204	+	81.7233i	−1.67856	+	2.61189i
$980$	1.25764	+	0.917501i	0.0401738	+	0.0293085i
$981$	3.03456	−	1.38584i	0.0968860	−	0.0442464i
$982$	0.896921	−	0.576416i	0.0286219	−	0.0183942i
$983$	−3.43518	−	1.00866i	−0.109565	−	0.0321713i	0.226490	−	0.974013i	$-0.427275\pi$
$983$	−3.43518	−	1.00866i	−0.109565	−	0.0321713i	−0.336056	+	0.941842i	$0.609093\pi$
$984$	2.96966	−	3.42717i	0.0946693	−	0.109254i
$985$	18.4359	−	5.41326i	0.587415	−	0.172481i
$986$	−0.0877878	+	0.192229i	−0.00279573	+	0.00612180i
$987$	3.47658	−	0.910190i	0.110661	−	0.0289717i
$988$		−	3.64268i		−	0.115889i
$989$	11.5548	−	26.3674i	0.367421	−	0.838435i
$990$			14.5700i			0.463064i
$991$	6.46209	+	44.9448i	0.205275	+	1.42772i	0.788313	+	0.615275i	$0.210955\pi$
$991$	6.46209	+	44.9448i	0.205275	+	1.42772i	−0.583038	+	0.812445i	$0.698136\pi$
$992$	4.52453	+	2.06628i	0.143654	+	0.0656046i
$993$	9.76549	+	33.2582i	0.309899	+	1.05542i
$994$	32.5592	+	22.3103i	1.03271	+	0.707639i
$995$	−0.229664	−	0.0674355i	−0.00728085	−	0.00213785i
$996$	0.700406	+	1.08985i	0.0221932	+	0.0345333i
$997$	−8.50611	+	3.88461i	−0.269391	+	0.123027i	−0.545531	−	0.838091i	$-0.683672\pi$
$997$	−8.50611	+	3.88461i	−0.269391	+	0.123027i	0.276140	+	0.961117i	$0.410945\pi$
$998$	−30.3103	−	34.9799i	−0.959456	−	1.10727i
$999$	4.97790	+	3.19910i	0.157494	+	0.101215i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.r.a.181.12	yes	320
7.6	odd	2	inner	483.2.r.a.181.11	✓	320
23.15	odd	22	inner	483.2.r.a.475.11	yes	320
161.153	even	22	inner	483.2.r.a.475.12	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.r.a.181.11	✓	320	7.6	odd	2	inner
483.2.r.a.181.12	yes	320	1.1	even	1	trivial
483.2.r.a.475.11	yes	320	23.15	odd	22	inner
483.2.r.a.475.12	yes	320	161.153	even	22	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)

\(f(q)\)	\(=\)	\(q+(-0.195633 - 1.36066i) q^{2} +(0.909632 + 0.415415i) q^{3} +(0.105862 - 0.0310839i) q^{4} +(1.31999 - 1.52335i) q^{5} +(0.387284 - 1.31897i) q^{6} +(1.67278 + 2.04983i) q^{7} +(-1.20511 - 2.63882i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\)	\(q+(-0.195633 - 1.36066i) q^{2} +(0.909632 + 0.415415i) q^{3} +(0.105862 - 0.0310839i) q^{4} +(1.31999 - 1.52335i) q^{5} +(0.387284 - 1.31897i) q^{6} +(1.67278 + 2.04983i) q^{7} +(-1.20511 - 2.63882i) q^{8} +(0.654861 + 0.755750i) q^{9} +(-2.33100 - 1.49804i) q^{10} +(-5.20476 - 0.748332i) q^{11} +(0.109208 + 0.0157018i) q^{12} +(2.27912 - 3.54637i) q^{13} +(2.46187 - 2.67711i) q^{14} +(1.83353 - 0.837344i) q^{15} +(-3.16914 + 2.03668i) q^{16} +(-0.126185 - 0.0370512i) q^{17} +(0.900206 - 1.03889i) q^{18} +(7.51462 - 2.20649i) q^{19} +(0.0923852 - 0.202295i) q^{20} +(0.670090 + 2.55949i) q^{21} +7.22831i q^{22} +(0.0737674 + 4.79526i) q^{23} -2.90097i q^{24} +(0.133354 + 0.927495i) q^{25} +(-5.27128 - 2.40731i) q^{26} +(0.281733 + 0.959493i) q^{27} +(0.240801 + 0.165002i) q^{28} +(1.12160 + 0.329330i) q^{29} +(-1.49804 - 2.33100i) q^{30} +(-7.25781 + 3.31453i) q^{31} +(-0.408241 - 0.471136i) q^{32} +(-4.42355 - 2.84284i) q^{33} +(-0.0257281 + 0.178943i) q^{34} +(5.33066 + 0.157515i) q^{35} +(0.0928166 + 0.0596496i) q^{36} +(4.47195 - 3.87497i) q^{37} +(-4.47240 - 9.79319i) q^{38} +(3.54637 - 2.27912i) q^{39} +(-5.61057 - 1.64741i) q^{40} +(1.18139 + 1.02368i) q^{41} +(3.35150 - 1.41249i) q^{42} +(-5.46028 - 2.49363i) q^{43} +(-0.574248 + 0.0825644i) q^{44} +2.01568 q^{45} +(6.51029 - 1.03849i) q^{46} -1.35831i q^{47} +(-3.72882 + 0.536123i) q^{48} +(-1.40358 + 6.85784i) q^{49} +(1.23592 - 0.362898i) q^{50} +(-0.0993900 - 0.0861219i) q^{51} +(0.131037 - 0.446270i) q^{52} +(-0.912808 - 1.42036i) q^{53} +(1.25043 - 0.571051i) q^{54} +(-8.01020 + 6.94088i) q^{55} +(3.39323 - 6.88443i) q^{56} +(7.75215 + 1.11459i) q^{57} +(0.228685 - 1.59054i) q^{58} +(-2.17224 + 3.38008i) q^{59} +(0.168073 - 0.145636i) q^{60} +(-3.75546 - 8.22331i) q^{61} +(5.92982 + 9.22698i) q^{62} +(-0.453715 + 2.60656i) q^{63} +(-5.49513 + 6.34171i) q^{64} +(-2.39396 - 8.15307i) q^{65} +(-3.00275 + 6.57510i) q^{66} +(-0.970645 + 0.139558i) q^{67} -0.0145099 q^{68} +(-1.92492 + 4.39257i) q^{69} +(-0.828531 - 7.28404i) q^{70} +(1.54444 + 10.7418i) q^{71} +(1.20511 - 2.63882i) q^{72} +(3.68239 + 12.5411i) q^{73} +(-6.14738 - 5.32673i) q^{74} +(-0.263993 + 0.899076i) q^{75} +(0.726927 - 0.467168i) q^{76} +(-7.17250 - 11.9207i) q^{77} +(-3.79489 - 4.37954i) q^{78} +(-7.46401 + 11.6142i) q^{79} +(-1.08065 + 7.51611i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(1.16176 - 1.80773i) q^{82} +(7.68938 + 8.87402i) q^{83} +(0.150496 + 0.250124i) q^{84} +(-0.223004 + 0.143316i) q^{85} +(-2.32476 + 7.91742i) q^{86} +(0.883431 + 0.765497i) q^{87} +(4.29759 + 14.6362i) q^{88} +(7.67463 - 16.8051i) q^{89} +(-0.394334 - 2.74266i) q^{90} +(11.0819 - 1.26053i) q^{91} +(0.156865 + 0.505344i) q^{92} -7.97884 q^{93} +(-1.84820 + 0.265731i) q^{94} +(6.55797 - 14.3599i) q^{95} +(-0.175633 - 0.598150i) q^{96} +(-11.1267 + 12.8409i) q^{97} +(9.60578 + 0.568175i) q^{98} +(-2.84284 - 4.42355i) 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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