LMFDB - Embedded newform 483.2.r.a.34.18

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			34.18
Character	$\chi$	$=$	483.34
Dual form			483.2.r.a.412.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0475988 - 0.0305899i) q^{2} +(0.989821 + 0.142315i) q^{3} +(-0.829500 + 1.81635i) q^{4} +(-1.34994 + 0.396378i) q^{5} +(0.0514677 - 0.0235045i) q^{6} +(1.78883 + 1.94938i) q^{7} +(0.0321834 + 0.223840i) q^{8} +(0.959493 + 0.281733i) q^{9} +O(q^{10})$	\(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} +(1.78883 + 1.94938i) 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} +(0.144778 + 0.0380678i) 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} +(1.49320 + 2.18411i) 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} +(-5.02459 + 1.63214i) 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} +(-3.18751 - 1.92249i) 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} +(0.137886 + 0.0582844i) 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} +(-0.600148 + 6.97423i) 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} +(-0.378779 + 0.463151i) 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} +(1.16717 + 2.37439i) 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} +(-12.7716 + 2.20915i) 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} +(-5.20573 + 0.900455i) 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} +(0.184775 + 0.350323i) 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 $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$1$	$-1$	$e\left(\frac{9}{22}\right)$

Coefficient data

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

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

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

$2$	0.0475988	−	0.0305899i	0.0336575	−	0.0216303i	−0.523704	−	0.851900i	$-0.675450\pi$
$2$	0.0475988	−	0.0305899i	0.0336575	−	0.0216303i	0.557361	+	0.830270i	$0.311814\pi$
$3$	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	$-0.692779\pi$
$5$	−1.34994	+	0.396378i	−0.603711	+	0.177265i	−0.0344279	+	0.999407i	$0.510961\pi$
$6$	0.0514677	−	0.0235045i	0.0210116	−	0.00959568i
$7$	1.78883	+	1.94938i	0.676116	+	0.736796i
$7$	1.78883	+	1.94938i	0.676116	+	0.736796i
$8$	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	0.167902	+	0.985804i	$0.446301\pi$
$11$	−2.64854	+	4.12121i	−0.798566	+	1.24259i	−0.966467	+	0.256789i	$0.917335\pi$
$12$	−1.07955	+	1.67981i	−0.311639	+	0.484920i
$13$	−5.25957	−	4.55745i	−1.45874	−	1.26401i	−0.900875	−	0.434079i	$-0.857074\pi$
$13$	−5.25957	−	4.55745i	−1.45874	−	1.26401i	−0.557869	−	0.829929i	$-0.688381\pi$
$14$	0.144778	+	0.0380678i	0.0386935	+	0.0101741i
$15$	−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	0.972928	+	0.231107i	$0.0742346\pi$
$17$	2.10466	+	4.60856i	0.510455	+	1.11774i	−0.462474	+	0.886633i	$0.653038\pi$
$18$	0.0542889	−	0.0159407i	0.0127960	−	0.00375725i
$19$	2.25637	−	4.94077i	0.517647	−	1.13349i	−0.452675	−	0.891675i	$-0.649530\pi$
$19$	2.25637	−	4.94077i	0.517647	−	1.13349i	0.970323	−	0.241814i	$-0.0777424\pi$
$20$	0.399813	−	2.78076i	0.0894008	−	0.621797i
$21$	1.49320	+	2.18411i	0.325843	+	0.476613i
$22$			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
$28$	−5.02459	+	1.63214i	−0.949559	+	0.308446i
$29$	2.06655	+	4.52510i	0.383748	+	0.840290i	0.998663	+	0.0516971i	$0.0164630\pi$
$29$	2.06655	+	4.52510i	0.383748	+	0.840290i	−0.614915	+	0.788593i	$0.710810\pi$
$30$	−0.0601616	+	0.0521303i	−0.0109840	+	0.00951765i
$31$	6.92521	−	0.995695i	1.24380	−	0.178832i	0.511185	−	0.859471i	$-0.329207\pi$
$31$	6.92521	−	0.995695i	1.24380	−	0.178832i	0.732619	+	0.680639i	$0.238298\pi$
$32$	−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
$35$	−3.18751	−	1.92249i	−0.538787	−	0.324959i
$36$	−1.30763	+	1.50908i	−0.217938	+	0.251513i
$37$	−1.69673	+	5.77852i	−0.278940	+	0.949983i	0.694202	+	0.719780i	$0.255757\pi$
$37$	−1.69673	+	5.77852i	−0.278940	+	0.949983i	−0.973143	+	0.230203i	$0.926061\pi$
$38$	−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	0.987221	+	0.159358i	$0.0509423\pi$
$41$	1.55515	+	5.29634i	0.242873	+	0.827150i	−0.744348	+	0.667792i	$0.767240\pi$
$42$	0.137886	+	0.0582844i	0.0212763	+	0.00899348i
$43$	4.87023	+	0.700234i	0.742704	+	0.106785i	0.503271	−	0.864128i	$-0.332130\pi$
$43$	4.87023	+	0.700234i	0.742704	+	0.106785i	0.239432	+	0.970913i	$0.423039\pi$
$44$	−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
$49$	−0.600148	+	6.97423i	−0.0857354	+	0.996318i
$50$	−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	0.319169	−	0.947698i	$-0.396596\pi$
$53$	9.48338	−	8.21740i	1.30264	−	1.12875i	0.983474	−	0.181049i	$-0.0579491\pi$
$54$	0.0560049	−	0.00805229i	0.00762131	−	0.00109578i
$55$	1.94181	−	6.61321i	0.261834	−	0.891725i
$56$	−0.378779	+	0.463151i	−0.0506165	+	0.0618911i
$57$	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	$-0.406383\pi$
$59$	−4.73297	−	4.10114i	−0.616181	−	0.533924i	−0.906065	+	0.423138i	$0.860929\pi$
$60$	0.791486	−	2.69556i	0.102180	−	0.347995i
$61$	−0.654784	−	4.55412i	−0.0838365	−	0.583096i	−0.987829	−	0.155547i	$-0.950286\pi$
$61$	−0.654784	−	4.55412i	−0.0838365	−	0.583096i	0.903992	−	0.427549i	$-0.140623\pi$
$62$	0.299174	−	0.259236i	0.0379951	−	0.0329229i
$63$	1.16717	+	2.37439i	0.147050	+	0.299145i
$64$	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	0.947296	−	0.320361i	$-0.103804\pi$
$67$	2.14755	+	3.34165i	0.262364	+	0.408247i	−0.684931	+	0.728608i	$0.740168\pi$
$68$	−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	−0.256649	−	0.966505i	$-0.582618\pi$
$71$	4.34704	−	2.79367i	0.515899	−	0.331548i	0.772548	+	0.634957i	$0.218982\pi$
$72$	−0.0321834	+	0.223840i	−0.00379285	+	0.0263798i
$73$	2.71362	+	1.23927i	0.317605	+	0.145045i	0.567838	−	0.823140i	$-0.307780\pi$
$73$	2.71362	+	1.23927i	0.317605	+	0.145045i	−0.250233	+	0.968186i	$0.580507\pi$
$74$	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
$77$	−12.7716	+	2.20915i	−1.45546	+	0.251757i
$78$	−0.377819	−	0.110938i	−0.0427796	−	0.0125612i
$79$	−3.80573	−	3.29769i	−0.428178	−	0.371019i	0.413947	−	0.910301i	$-0.364150\pi$
$79$	−3.80573	−	3.29769i	−0.428178	−	0.371019i	−0.842125	+	0.539283i	$0.818695\pi$
$80$	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	$-0.366136\pi$
$83$	2.35211	+	0.690642i	0.258178	+	0.0758078i	−0.150082	+	0.988674i	$0.547954\pi$
$84$	−5.20573	+	0.900455i	−0.567992	+	0.0982477i
$85$	−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	0.522077	+	0.852898i	$0.325157\pi$
$89$	−2.06738	+	14.3789i	−0.219141	+	1.52416i	−0.741218	+	0.671264i	$0.765752\pi$
$90$	−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	$-0.466459\pi$
$97$	7.20245	−	2.11483i	0.731298	−	0.214728i	0.626122	+	0.779725i	$0.284641\pi$
$98$	0.184775	+	0.350323i	0.0186651	+	0.0353880i
$99$	−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	$-0.910558\pi$
$101$	−0.0261068	+	0.0889116i	−0.00259772	+	0.00884704i	0.958184	+	0.286153i	$0.0923766\pi$
$102$	0.216644	+	0.187723i	0.0214510	+	0.0185874i
$103$	−2.21636	−	1.42437i	−0.218384	−	0.140347i	0.426875	−	0.904311i	$-0.359614\pi$
$103$	−2.21636	−	1.42437i	−0.218384	−	0.140347i	−0.645259	+	0.763963i	$0.723251\pi$
$104$	0.850870	−	1.32398i	0.0834347	−	0.129827i
$105$	−2.88146	−	2.35655i	−0.281202	−	0.229975i
$106$	0.200028	−	0.681234i	0.0194285	−	0.0661673i
$107$	14.7823	−	2.12538i	1.42906	−	0.205468i	0.616047	−	0.787710i	$-0.288733\pi$
$107$	14.7823	−	2.12538i	1.42906	−	0.205468i	0.813016	+	0.582242i	$0.197824\pi$
$108$	−1.50908	+	1.30763i	−0.145211	+	0.125826i
$109$	3.27957	−	1.49773i	0.314126	−	0.143457i	−0.252112	−	0.967698i	$-0.581125\pi$
$109$	3.27957	−	1.49773i	0.314126	−	0.143457i	0.566239	+	0.824241i	$0.308398\pi$
$110$	−0.109869	−	0.374181i	−0.0104756	−	0.0356768i
$111$	−2.50183	+	5.47824i	−0.237463	+	0.519971i
$112$	1.20142	−	10.4635i	0.113524	−	0.988704i
$113$	−6.71818	−	10.4537i	−0.631993	−	0.983400i	−0.998593	−	0.0530219i	$-0.983115\pi$
$113$	−6.71818	−	10.4537i	−0.631993	−	0.983400i	0.366600	−	0.930379i	$-0.380522\pi$
$114$		−	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
$119$	−5.21894	+	12.3467i	−0.478419	+	1.13182i
$120$	−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
$126$	0.128188	+	0.0773144i	0.0114199	+	0.00688772i
$127$	12.1884	+	7.83304i	1.08155	+	0.695070i	0.954915	−	0.296880i	$-0.0959460\pi$
$127$	12.1884	+	7.83304i	1.08155	+	0.695070i	0.126635	+	0.991949i	$0.459582\pi$
$128$	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	$-0.802833\pi$
$131$	−4.06816	+	3.52508i	−0.355437	+	0.307988i	0.458779	+	0.888551i	$0.348287\pi$
$132$	−4.06364	−	8.89812i	−0.353694	−	0.774482i
$133$	13.6677	−	4.43969i	1.18514	−	0.384970i
$134$	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	$-0.888899\pi$
$137$		−	8.00576i		−	0.683978i	0.939704	−	0.341989i	$-0.111101\pi$
$138$	−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	$0.966022\pi$
$140$	6.13595	−	4.19493i	0.518582	−	0.354536i
$141$	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
$147$	−1.58657	+	6.81783i	−0.130858	+	0.562325i
$148$	−9.08839	−	7.87514i	−0.747061	−	0.647332i
$149$	0.504008	−	0.784251i	0.0412899	−	0.0642484i	−0.819995	−	0.572371i	$-0.806024\pi$
$149$	0.504008	−	0.784251i	0.0412899	−	0.0642484i	0.861285	+	0.508122i	$0.169660\pi$
$150$	−0.0923984	+	0.143775i	−0.00754430	+	0.0117392i
$151$	−0.128273	+	0.148035i	−0.0104387	+	0.0120469i	−0.760945	−	0.648816i	$-0.775264\pi$
$151$	−0.128273	+	0.148035i	−0.0104387	+	0.0120469i	0.750506	+	0.660863i	$0.229810\pi$
$152$	1.17856	+	0.346057i	0.0955939	+	0.0280689i
$153$	0.721024	+	5.01483i	0.0582913	+	0.405425i
$154$	−0.540336	+	0.495836i	−0.0435415	+	0.0399556i
$155$	−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	$-0.802673\pi$
$157$	1.98163	−	4.33915i	0.158151	−	0.346302i	0.972075	+	0.234668i	$0.0754004\pi$
$158$	−0.282024	−	0.0405490i	−0.0224367	−	0.00322590i
$159$	10.5563	−	6.78413i	0.837170	−	0.538017i
$160$	0.953225			0.0753590
$161$	−12.4498	+	2.44985i	−0.981184	+	0.193075i
$162$	0.0565808			0.00444541
$163$	−9.63267	+	6.19054i	−0.754489	+	0.484881i	−0.860479	−	0.509487i	$-0.829835\pi$
$163$	−9.63267	+	6.19054i	−0.754489	+	0.484881i	0.105989	+	0.994367i	$0.466199\pi$
$164$	−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	$-0.803541\pi$
$167$	−11.7877	+	5.38326i	−0.912160	+	0.416570i	−0.0966540	+	0.995318i	$0.530814\pi$
$168$	−0.440837	+	0.404531i	−0.0340113	+	0.0312102i
$169$	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	$-0.637553\pi$
$173$	7.64426	−	11.8947i	0.581182	−	0.904337i	0.999993	+	0.00373646i	$0.00118936\pi$
$174$	0.212721	+	0.184324i	0.0161263	+	0.0139735i
$175$	−7.72891	−	2.03224i	−0.584251	−	0.153623i
$176$	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	−0.444216	−	0.895920i	$-0.646518\pi$
$179$	−4.46250	+	1.31031i	−0.333543	+	0.0979370i	0.110673	+	0.993857i	$0.464699\pi$
$180$	1.16705	−	2.55548i	0.0869866	−	0.190474i
$181$	1.76219	−	12.2563i	0.130983	−	0.911005i	−0.813294	−	0.581853i	$-0.802328\pi$
$181$	1.76219	−	12.2563i	0.130983	−	0.911005i	0.944277	−	0.329152i	$-0.106763\pi$
$182$	−0.587977	−	0.860037i	−0.0435838	−	0.0637502i
$183$		−	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
$189$	0.817380	+	2.51632i	0.0594556	+	0.183036i
$190$	0.179619	+	0.393311i	0.0130309	+	0.0285338i
$191$	3.33300	−	2.88806i	0.241167	−	0.208973i	−0.525888	−	0.850554i	$-0.676267\pi$
$191$	3.33300	−	2.88806i	0.241167	−	0.208973i	0.767055	+	0.641581i	$0.221721\pi$
$192$	7.84262	−	1.12760i	0.565992	−	0.0813774i
$193$	20.6045	+	6.05003i	1.48314	+	0.435491i	0.920347	−	0.391104i	$-0.127907\pi$
$193$	20.6045	+	6.05003i	1.48314	+	0.435491i	0.562798	+	0.826594i	$0.309725\pi$
$194$	0.278136	−	0.320986i	0.0199690	−	0.0230454i
$195$	8.23705	+	5.29363i	0.589868	+	0.379085i
$196$	−12.1698	−	6.87520i	−0.869273	−	0.491086i
$197$	−17.0842	+	19.7162i	−1.21720	+	1.40472i	−0.329587	+	0.944125i	$0.606910\pi$
$197$	−17.0842	+	19.7162i	−1.21720	+	1.40472i	−0.887610	+	0.460596i	$0.847636\pi$
$198$	−0.0780917	+	0.265956i	−0.00554973	+	0.0189007i
$199$	1.04774	+	7.28718i	0.0742722	+	0.516574i	0.992664	+	0.120903i	$0.0385790\pi$
$199$	1.04774	+	7.28718i	0.0742722	+	0.516574i	−0.918392	+	0.395671i	$0.870512\pi$
$200$	−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
$203$	−5.12443	+	12.1231i	−0.359664	+	0.850877i
$204$	−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
$210$	−0.209241	−	0.0240252i	−0.0144390	−	0.00165790i
$211$	5.24009	−	11.4742i	0.360742	−	0.789916i	−0.639042	−	0.769171i	$-0.720669\pi$
$211$	5.24009	−	11.4742i	0.360742	−	0.789916i	0.999785	−	0.0207441i	$-0.00660352\pi$
$212$	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
$217$	14.3290	+	11.7187i	0.972718	+	0.795519i
$218$	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	$-0.872482\pi$
$223$	−9.94344	+	8.61604i	−0.665862	+	0.576973i	0.254962	+	0.966951i	$0.417937\pi$
$224$	−0.790783	−	1.60870i	−0.0528364	−	0.107486i
$225$	−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	$-0.987182\pi$
$227$	−0.438918	+	3.05274i	−0.0291320	+	0.202618i	0.970057	+	0.242876i	$0.0780909\pi$
$228$	5.86370	+	9.12410i	0.388333	+	0.604258i
$229$	−7.24870			−0.479008			−0.239504	−	0.970895i	$-0.576985\pi$
$229$	−7.24870			−0.479008			−0.239504	+	0.970895i	$0.576985\pi$
$230$	−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	0.405677	+	0.914016i	$0.367036\pi$
$233$	−3.67986	+	25.5940i	−0.241075	+	1.67672i	−0.646753	+	0.762700i	$0.723873\pi$
$234$	−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
$238$	0.129270	+	0.747336i	0.00837931	+	0.0484426i
$239$	−19.1851	−	5.63325i	−1.24098	−	0.364384i	−0.405596	−	0.914052i	$-0.632936\pi$
$239$	−19.1851	−	5.63325i	−1.24098	−	0.364384i	−0.835383	+	0.549668i	$0.814754\pi$
$240$	4.23273	+	3.66768i	0.273222	+	0.236748i
$241$	−9.63447	−	6.19169i	−0.620610	−	0.398842i	0.192212	−	0.981353i	$-0.438434\pi$
$241$	−9.63447	−	6.19169i	−0.620610	−	0.398842i	−0.812823	+	0.582511i	$0.802070\pi$
$242$	−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
$245$	−1.95426	−	9.65266i	−0.124853	−	0.616686i
$246$	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	$-0.693360\pi$
$251$	−0.966329	+	0.621022i	−0.0609942	+	0.0391986i	0.509788	+	0.860300i	$0.329724\pi$
$252$	−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	$-0.652842\pi$
$257$	−23.0002	−	10.5039i	−1.43472	−	0.655212i	−0.972786	+	0.231705i	$0.925570\pi$
$258$	0.267119	−	0.0784331i	0.0166301	−	0.00488303i
$259$	−14.2997	+	7.02925i	−0.888539	+	0.436777i
$260$	−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	0.645702	−	0.763589i	$-0.276565\pi$
$263$	−0.295506	−	0.256057i	−0.0182217	−	0.0157892i	−0.663924	+	0.747800i	$0.731110\pi$
$264$	−0.931981	−	0.598948i	−0.0573594	−	0.0368627i
$265$	−9.54479	+	14.8520i	−0.586332	+	0.912350i
$266$	0.514757	−	0.629418i	0.0315618	−	0.0385921i
$267$	−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	0.224830	−	0.974398i	$-0.427817\pi$
$269$	20.0309	−	17.3569i	1.22131	−	1.05827i	0.996477	−	0.0838705i	$-0.0267282\pi$
$270$	−0.0724115	+	0.0330692i	−0.00440682	+	0.00201253i
$271$	−1.02205	−	3.48078i	−0.0620851	−	0.211442i	0.922608	−	0.385738i	$-0.126053\pi$
$271$	−1.02205	−	3.48078i	−0.0620851	−	0.211442i	−0.984693	+	0.174296i	$0.944235\pi$
$272$	8.37823	−	18.3458i	0.508005	−	1.11237i
$273$	2.10038	−	18.2927i	0.127121	−	1.10712i
$274$	−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
$280$	0.327745	−	0.775365i	0.0195865	−	0.0463369i
$281$	−1.19587	−	4.07275i	−0.0713394	−	0.242960i	0.916102	−	0.400945i	$-0.131318\pi$
$281$	−1.19587	−	4.07275i	−0.0713394	−	0.242960i	−0.987441	+	0.157985i	$0.949500\pi$
$282$	−0.0333841	−	0.0731010i	−0.00198799	−	0.00435310i
$283$	−3.90487	−	4.50646i	−0.232121	−	0.267881i	0.627726	−	0.778435i	$-0.283986\pi$
$283$	−3.90487	−	4.50646i	−0.232121	−	0.267881i	−0.859846	+	0.510553i	$0.829441\pi$
$284$	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
$287$	−7.54267	+	12.5058i	−0.445230	+	0.738197i
$288$	−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	0.969997	+	0.243117i	$0.0781701\pi$
$293$	8.87563	+	19.4349i	0.518520	+	1.13540i	−0.451477	+	0.892283i	$0.649103\pi$
$294$	0.133038	+	0.373054i	0.00775891	+	0.0217569i
$295$	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
$301$	7.34702	+	10.7465i	0.423475	+	0.619420i
$302$	−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	$-0.403141\pi$
$307$	14.9964	−	2.15615i	0.855888	−	0.123058i	0.556270	+	0.831001i	$0.312232\pi$
$308$	6.58145	−	25.0302i	0.375013	−	1.42623i
$309$	−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	$-0.959818\pi$
$311$	−8.20758	+	12.7712i	−0.465409	+	0.724191i	0.526633	+	0.850092i	$0.323454\pi$
$312$	1.03063	−	1.18941i	0.0583480	−	0.0673372i
$313$	16.7901	+	4.93001i	0.949030	+	0.278660i	0.719383	−	0.694614i	$-0.244425\pi$
$313$	16.7901	+	4.93001i	0.949030	+	0.278660i	0.229647	+	0.973274i	$0.426243\pi$
$314$	−0.0384113	−	0.267156i	−0.00216767	−	0.0150765i
$315$	−2.51676	−	2.74264i	−0.141803	−	0.154530i
$316$	9.14661	−	4.17712i	0.514537	−	0.234981i
$317$	24.2862	−	7.13106i	1.36405	−	0.400521i	0.483860	−	0.875146i	$-0.339235\pi$
$317$	24.2862	−	7.13106i	1.36405	−	0.400521i	0.880188	+	0.474625i	$0.157416\pi$
$318$	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
$322$	−0.517657	+	0.497449i	−0.0288479	+	0.0277218i
$323$	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
$329$	2.76875	−	2.54073i	0.152646	−	0.140075i
$330$	−0.0554996	−	0.386008i	−0.00305515	−	0.0212491i
$331$	−11.9778	−	3.51699i	−0.658358	−	0.193311i	−0.0645454	−	0.997915i	$-0.520560\pi$
$331$	−11.9778	−	3.51699i	−0.658358	−	0.193311i	−0.593813	+	0.804603i	$0.702378\pi$
$332$	−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
$336$	2.67830	−	10.1860i	0.146113	−	0.555691i
$337$	30.0516	−	4.32076i	1.63701	−	0.235367i	0.738481	−	0.674274i	$-0.235543\pi$
$337$	30.0516	−	4.32076i	1.63701	−	0.235367i	0.898532	+	0.438907i	$0.144634\pi$
$338$	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
$343$	−14.6690	+	11.3058i	−0.792050	+	0.610457i
$344$			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	−0.997157	−	0.0753459i	$-0.975994\pi$
$347$	−25.0146	+	16.0759i	−1.34285	+	0.863000i	−0.345697	+	0.938346i	$0.612358\pi$
$348$	−9.83227	−	1.41367i	−0.527065	−	0.0757805i
$349$	−5.00591	−	2.28612i	−0.267960	−	0.122373i	0.276904	−	0.960898i	$-0.410692\pi$
$349$	−5.00591	−	2.28612i	−0.267960	−	0.122373i	−0.544864	+	0.838524i	$0.683419\pi$
$350$	−0.430053	+	0.139695i	−0.0229873	+	0.00746699i
$351$	−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	$-0.677045\pi$
$353$	−14.9420	+	2.14833i	−0.795281	+	0.114344i	−0.267314	+	0.963609i	$0.586136\pi$
$354$	−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
$357$	−6.92294	+	11.4783i	−0.366401	+	0.607497i
$358$	−0.172327	+	0.198876i	−0.00910779	+	0.0105109i
$359$	5.41046	−	18.4263i	0.285553	−	0.972505i	−0.684378	−	0.729127i	$-0.739926\pi$
$359$	5.41046	−	18.4263i	0.285553	−	0.972505i	0.969932	−	0.243378i	$-0.0782554\pi$
$360$	−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
$364$	33.8656	+	14.3149i	1.77504	+	0.750307i
$365$	−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	$-0.302723\pi$
$367$	22.2547			1.16168			0.580842	+	0.814016i	$0.302723\pi$
$368$	18.8294	−	3.15115i	0.981550	−	0.164265i
$369$			5.51994i			0.287357i
$370$	−0.259194	−	0.403314i	−0.0134749	−	0.0209673i
$371$	32.9830	+	3.78714i	1.71239	+	0.196618i
$372$	−5.80353	+	12.7080i	−0.300899	+	0.658877i
$373$	−0.102307	−	0.348425i	−0.00529724	−	0.0180408i	0.956802	−	0.290740i	$-0.0939016\pi$
$373$	−0.102307	−	0.348425i	−0.00529724	−	0.0180408i	−0.962099	+	0.272700i	$0.912083\pi$
$374$	−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
$378$	0.115880	+	0.0947706i	0.00596025	+	0.00487447i
$379$	−13.0631	+	20.3266i	−0.671008	+	1.04411i	0.324168	+	0.946000i	$0.394916\pi$
$379$	−13.0631	+	20.3266i	−0.671008	+	1.04411i	−0.995176	+	0.0981089i	$0.968721\pi$
$380$	−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	−0.841401	−	0.540411i	$-0.818269\pi$
$383$	−3.64663	−	25.3628i	−0.186334	−	1.29598i	0.655068	−	0.755570i	$-0.272640\pi$
$384$	1.36288	−	1.18094i	0.0695492	−	0.0602647i
$385$	16.3652	−	8.04460i	0.834049	−	0.409991i
$386$	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	0.973178	+	0.230051i	$0.0738894\pi$
$389$	15.3479	+	23.8817i	0.778168	+	1.21085i	−0.195011	+	0.980801i	$0.562474\pi$
$390$	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	$-0.508247\pi$
$397$	14.1990	−	6.48446i	0.712627	−	0.325446i	0.738532	+	0.674219i	$0.235520\pi$
$398$	0.272785	+	0.314811i	0.0136735	+	0.0157800i
$399$	14.1604	−	2.44938i	0.708907	−	0.122622i
$400$	11.5371	+	3.38761i	0.576857	+	0.169381i
$401$	−16.9452	−	14.6831i	−0.846205	−	0.733241i	0.119514	−	0.992833i	$-0.461867\pi$
$401$	−16.9452	−	14.6831i	−0.846205	−	0.733241i	−0.965718	+	0.259592i	$0.916412\pi$
$402$	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
$406$	0.126929	+	0.733803i	0.00629937	+	0.0364180i
$407$	−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	$-0.0491787\pi$
$409$	1.48966	+	5.07330i	0.0736588	+	0.250859i	−0.914430	+	0.404744i	$0.867361\pi$
$410$	−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	$-0.857689\pi$
$419$	−29.2005	+	8.57405i	−1.42654	+	0.418870i	−0.524828	+	0.851208i	$0.675871\pi$
$420$	6.67049	−	3.27899i	0.325487	−	0.159999i
$421$	21.5132	−	18.6413i	1.04849	−	0.908523i	0.0525582	−	0.998618i	$-0.483262\pi$
$421$	21.5132	−	18.6413i	1.04849	−	0.908523i	0.995933	+	0.0900949i	$0.0287170\pi$
$422$	−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
$427$	7.70641	−	9.42299i	0.372939	−	0.456011i
$428$	−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	0.0863422	−	0.996266i	$-0.472482\pi$
$431$	18.5975	−	8.49321i	0.895812	−	0.409103i	0.809469	+	0.587162i	$0.199755\pi$
$432$	−1.12152	−	3.81955i	−0.0539592	−	0.183768i
$433$	−13.8669	+	30.3643i	−0.666402	+	1.45922i	0.210031	+	0.977695i	$0.432643\pi$
$433$	−13.8669	+	30.3643i	−0.666402	+	1.45922i	−0.876434	+	0.481523i	$0.840084\pi$
$434$	1.04052	+	0.119473i	0.0499466	+	0.00573491i
$435$	−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	−0.921299	−	0.388854i	$-0.872871\pi$
$439$	−18.6956	−	29.0909i	−0.892292	−	1.38843i	0.0290071	−	0.999579i	$-0.490765\pi$
$440$	1.54280	+	0.221821i	0.0735500	+	0.0105749i
$441$	−2.54070	+	6.52264i	−0.120986	+	0.310602i
$442$	−0.562055	−	1.91418i	−0.0267342	−	0.0910484i
$443$	−6.92402	−	15.1615i	−0.328970	−	0.720344i	0.670803	−	0.741636i	$-0.265950\pi$
$443$	−6.92402	−	15.1615i	−0.328970	−	0.720344i	−0.999773	+	0.0212912i	$0.993222\pi$
$444$	−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
$448$	17.9508	+	10.8267i	0.848094	+	0.511513i
$449$	3.37559	+	2.16936i	0.159304	+	0.102378i	0.617864	−	0.786285i	$-0.287998\pi$
$449$	3.37559	+	2.16936i	0.159304	+	0.102378i	−0.458560	+	0.888663i	$0.651635\pi$
$450$	−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
$455$	8.00329	+	24.6383i	0.375200	+	1.15506i
$456$	1.11732	+	0.510261i	0.0523231	+	0.0238952i
$457$	−0.734263	−	0.105571i	−0.0343474	−	0.00493840i	0.125120	−	0.992142i	$-0.460068\pi$
$457$	−0.734263	−	0.105571i	−0.0343474	−	0.00493840i	−0.159467	+	0.987203i	$0.550978\pi$
$458$	−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	$-0.217202\pi$
$462$	−0.605401	+	0.413891i	−0.0281658	+	0.0192559i
$463$	0.730610	−	5.08151i	0.0339543	−	0.236158i	−0.965776	−	0.259377i	$-0.916483\pi$
$463$	0.730610	−	5.08151i	0.0339543	−	0.236158i	0.999730	+	0.0232198i	$0.00739174\pi$
$464$	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	$-0.190095\pi$
$467$	3.29824	+	3.80637i	0.152624	+	0.176138i	−0.674288	+	0.738468i	$0.735550\pi$
$468$	13.7551	−	1.97769i	0.635830	−	0.0914185i
$469$	−2.67253	+	10.1640i	−0.123406	+	0.469331i
$470$	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
$476$	−18.0969	−	19.7210i	−0.829469	−	0.903912i
$477$	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	$-0.755592\pi$
$479$	6.05423	−	13.2569i	0.276625	−	0.605724i	0.996045	+	0.0888512i	$0.0283196\pi$
$480$	0.943522	+	0.135658i	0.0430657	+	0.00619191i
$481$	35.2594	−	22.6598i	1.60769	−	1.03320i
$482$	−0.647993			−0.0295153
$483$	−12.6718	+	0.653118i	−0.576585	+	0.0297179i
$484$	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	−0.520473	−	0.853878i	$-0.674244\pi$
$487$	10.2767	−	22.5029i	0.465683	−	1.01970i	0.986155	−	0.165825i	$-0.0530285\pi$
$488$	0.998324	−	0.293134i	0.0451920	−	0.0132696i
$489$	−10.4156	+	4.75666i	−0.471011	+	0.215104i
$490$	−0.388295	−	0.399675i	−0.0175414	−	0.0180555i
$491$	−0.509981	−	3.54699i	−0.0230151	−	0.160074i	0.975073	−	0.221886i	$-0.0712212\pi$
$491$	−0.509981	−	3.54699i	−0.0230151	−	0.160074i	−0.998088	+	0.0618120i	$0.980312\pi$
$492$	−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
$497$	13.2221	+	3.47661i	0.593090	+	0.155947i
$498$	0.137291	−	0.0197395i	0.00615216	−	0.000884547i
$499$	−4.75481	−	5.48734i	−0.212854	−	0.245647i	0.639275	−	0.768978i	$-0.279235\pi$
$499$	−4.75481	−	5.48734i	−0.212854	−	0.245647i	−0.852129	+	0.523331i	$0.824689\pi$
$500$	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	0.945704	+	0.325029i	$0.105374\pi$
$503$	−1.19458	+	8.30847i	−0.0532636	+	0.370456i	−0.998968	+	0.0454273i	$0.985535\pi$
$504$	−0.493920	+	0.337676i	−0.0220010	+	0.0150413i
$505$		−	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	$-0.313058\pi$
$509$	19.2051	+	2.76128i	0.851252	+	0.122392i	0.297140	+	0.954834i	$0.403967\pi$
$510$	−0.366865	−	0.167542i	−0.0162451	−	0.00741888i
$511$	2.43841	+	7.50671i	0.107869	+	0.332077i
$512$	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
$518$	−0.465624	+	0.772010i	−0.0204583	+	0.0339202i
$519$	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	−0.949465	−	0.313872i	$-0.898374\pi$
$521$	−2.89627	−	20.1440i	−0.126888	−	0.882525i	0.822577	−	0.568653i	$-0.192535\pi$
$522$	0.184324	+	0.212721i	0.00806763	+	0.00931054i
$523$	−7.50358	−	16.4306i	−0.328109	−	0.718458i	0.671640	−	0.740878i	$-0.265590\pi$
$523$	−7.50358	−	16.4306i	−0.328109	−	0.718458i	−0.999749	+	0.0224197i	$0.992863\pi$
$524$	−3.02825	−	10.3133i	−0.132290	−	0.450537i
$525$	−7.36103	−	3.11149i	−0.321262	−	0.135797i
$526$	−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
$532$	−3.27332	+	28.5081i	−0.141916	+	1.23598i
$533$	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
$539$	−27.1528	−	20.9449i	−1.16955	−	0.902160i
$540$	1.51885	−	2.36338i	0.0653610	−	0.101704i
$541$	−9.31254	−	5.98481i	−0.400377	−	0.257307i	0.324922	−	0.945741i	$-0.394662\pi$
$541$	−9.31254	−	5.98481i	−0.400377	−	0.257307i	−0.725299	+	0.688434i	$0.758298\pi$
$542$	−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
$546$	−0.459596	−	0.934961i	−0.0196689	−	0.0400127i
$547$	−19.8510	+	5.82879i	−0.848768	+	0.249221i	−0.677061	−	0.735927i	$-0.736747\pi$
$547$	−19.8510	+	5.82879i	−0.848768	+	0.249221i	−0.171708	+	0.985148i	$0.554928\pi$
$548$	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	0.991266	−	0.131876i	$-0.0421001\pi$
$557$	2.03114	+	6.91744i	0.0860624	+	0.293102i	−0.905204	+	0.424978i	$0.860282\pi$
$558$	0.360090	−	0.164448i	0.0152438	−	0.00696163i
$559$	−22.4241	−	25.8788i	−0.948438	−	1.09456i
$560$	2.52564	+	14.6012i	0.106728	+	0.617015i
$561$	−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	$-0.344344\pi$
$563$	−3.27752	−	2.10634i	−0.138131	−	0.0887715i	−0.607881	+	0.794028i	$0.707980\pi$
$564$	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
$567$	0.450949	+	2.60704i	0.0189381	+	0.109485i
$568$	0.765240	+	0.883134i	0.0321087	+	0.0370555i
$569$	20.0707	−	9.16597i	0.841406	−	0.384257i	0.0523877	−	0.998627i	$-0.483317\pi$
$569$	20.0707	−	9.16597i	0.841406	−	0.384257i	0.789018	+	0.614370i	$0.210590\pi$
$570$	0.121817	+	0.414870i	0.00510235	+	0.0173770i
$571$	29.3309	+	13.3950i	1.22746	+	0.560562i	0.920344	−	0.391110i	$-0.127909\pi$
$571$	29.3309	+	13.3950i	1.22746	+	0.560562i	0.307116	+	0.951672i	$0.400636\pi$
$572$	−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	−0.811646	−	0.584149i	$-0.801428\pi$
$577$	−24.1610	−	37.5953i	−1.00584	−	1.56511i	−0.194191	−	0.980964i	$-0.562208\pi$
$578$	−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
$581$	2.86121	+	5.82060i	0.118703	+	0.241479i
$582$	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	$-0.846742\pi$
$587$	−2.34742	+	3.65266i	−0.0968885	+	0.150761i	0.789425	+	0.613847i	$0.210379\pi$
$588$	−11.0675	−	8.53717i	−0.456416	−	0.352067i
$589$	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	−0.927658	−	0.373431i	$-0.878181\pi$
$593$	−8.50247	−	28.9567i	−0.349154	−	1.18911i	0.578504	−	0.815680i	$-0.303637\pi$
$594$	−0.115146	+	0.252135i	−0.00472451	+	0.0103452i
$595$	2.15128	−	18.7360i	0.0881939	−	0.768100i
$596$	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	$-0.269194\pi$
$601$	26.6897	+	3.83740i	1.08870	+	0.156531i	0.425487	+	0.904965i	$0.360103\pi$
$602$	0.678445	+	0.286778i	0.0276514	+	0.0116882i
$603$	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	0.549672	+	0.835380i	$0.314753\pi$
$607$	−8.97742	+	30.5743i	−0.364382	+	1.24097i	−0.914055	+	0.405591i	$0.867066\pi$
$608$	−2.40991	+	2.78118i	−0.0977347	+	0.112792i
$609$	−6.79757	+	11.2705i	−0.275452	+	0.456702i
$610$	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	0.185598	−	0.982626i	$-0.440578\pi$
$613$	15.8584	−	2.28010i	0.640516	−	0.0920922i	0.454918	+	0.890534i	$0.349669\pi$
$614$	0.647853	−	0.561368i	0.0261452	−	0.0226550i
$615$	−3.22618	−	7.06435i	−0.130092	−	0.284862i
$616$	−0.905532	−	2.78770i	−0.0364849	−	0.112320i
$617$	32.8495	+	15.0019i	1.32247	+	0.603952i	0.946507	−	0.322682i	$-0.104584\pi$
$617$	32.8495	+	15.0019i	1.32247	+	0.603952i	0.375964	+	0.926634i	$0.377312\pi$
$618$	−0.147550	−	0.0212145i	−0.00593533	−	0.000853372i
$619$	−7.91770	+	5.08839i	−0.318239	+	0.204520i	−0.690001	−	0.723808i	$-0.742390\pi$
$619$	−7.91770	+	5.08839i	−0.318239	+	0.204520i	0.371762	+	0.928328i	$0.378754\pi$
$620$		−	19.6554i		−	0.789381i
$621$	−3.97377	+	2.68499i	−0.159462	+	0.107745i
$622$			0.858966i			0.0344414i
$623$	−31.7281	+	21.6914i	−1.27116	+	0.869048i
$624$	−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
$630$	−0.203692	−	0.0535588i	−0.00811528	−	0.00213383i
$631$	−6.05999	−	5.25101i	−0.241244	−	0.209039i	0.525844	−	0.850581i	$-0.323750\pi$
$631$	−6.05999	−	5.25101i	−0.241244	−	0.209039i	−0.767088	+	0.641542i	$0.778295\pi$
$632$	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
$637$	34.9412	−	33.9463i	1.38442	−	1.34500i
$638$	−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	−0.568197	−	0.822893i	$-0.692359\pi$
$641$	−34.0581	−	4.89681i	−1.34521	−	0.193412i	−0.777016	+	0.629480i	$0.783268\pi$
$642$	0.710858	−	0.456840i	0.0280553	−	0.0180301i
$643$	22.0673			0.870251			0.435125	−	0.900370i	$-0.356704\pi$
$643$	22.0673			0.870251			0.435125	+	0.900370i	$0.356704\pi$
$644$	5.87735	−	24.6454i	0.231600	−	0.971166i
$645$	−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	$-0.846982\pi$
$647$	−47.5068	−	6.83045i	−1.86769	−	0.268533i	−0.981024	+	0.193886i	$0.937891\pi$
$648$	−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
$651$	12.5154	+	13.6387i	0.490519	+	0.534542i
$652$	−3.25390	−	22.6314i	−0.127433	−	0.886313i
$653$	22.7833	+	6.68979i	0.891581	+	0.261792i	0.695269	−	0.718750i	$-0.255285\pi$
$653$	22.7833	+	6.68979i	0.891581	+	0.261792i	0.196312	+	0.980541i	$0.437103\pi$
$654$	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
$658$	0.0540688	−	0.205632i	0.00210782	−	0.00801635i
$659$	−18.0828	+	2.59991i	−0.704405	+	0.101278i	−0.485203	−	0.874401i	$-0.661254\pi$
$659$	−18.0828	+	2.59991i	−0.704405	+	0.101278i	−0.219202	+	0.975680i	$0.570345\pi$
$660$	9.01267	+	10.4012i	0.350818	+	0.404865i
$661$	−17.9254	−	39.2511i	−0.697216	−	1.52669i	−0.843314	−	0.537421i	$-0.819399\pi$
$661$	−17.9254	−	39.2511i	−0.697216	−	1.52669i	0.146098	−	0.989270i	$-0.453329\pi$
$662$	−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
$665$	−16.6908	+	11.4109i	−0.647240	+	0.442495i
$666$			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
$672$	−0.553792	−	1.70486i	−0.0213630	−	0.0657666i
$673$	13.7592	+	30.1284i	0.530378	+	1.16136i	0.965359	+	0.260925i	$0.0840276\pi$
$673$	13.7592	+	30.1284i	0.530378	+	1.16136i	−0.434981	+	0.900439i	$0.643245\pi$
$674$	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	$-0.567959\pi$
$677$	20.4412	−	23.5905i	0.785621	−	0.906655i	0.997502	+	0.0706406i	$0.0225044\pi$
$678$	−0.591479	−	0.380120i	−0.0227156	−	0.0145984i
$679$	17.0066	+	10.2572i	0.652653	+	0.393636i
$680$	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	0.979185	−	0.202968i	$-0.0650587\pi$
$683$	16.6980	+	19.2705i	0.638931	+	0.737365i	−0.340255	+	0.940333i	$0.610513\pi$
$684$	4.50552	+	9.86572i	0.172273	+	0.377225i
$685$	3.17330	+	10.8073i	0.121246	+	0.412925i
$686$	−0.352382	+	0.986866i	−0.0134540	+	0.0376787i
$687$	−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
$693$	−12.8767	−	1.47851i	−0.489144	−	0.0561639i
$694$	−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
$700$	10.1024	−	12.3527i	0.381835	−	0.466888i
$701$	−10.6646	+	16.5944i	−0.402796	+	0.626762i	−0.982102	−	0.188347i	$-0.939687\pi$
$701$	−10.6646	+	16.5944i	−0.402796	+	0.626762i	0.579307	+	0.815110i	$0.303323\pi$
$702$	−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
$707$	−0.220023	+	0.108156i	−0.00827482	+	0.00406763i
$708$	11.9986	−	3.52312i	0.450937	−	0.132407i
$709$	−29.7590	−	13.5905i	−1.11762	−	0.510401i	−0.231027	−	0.972947i	$-0.574209\pi$
$709$	−29.7590	−	13.5905i	−1.11762	−	0.510401i	−0.886595	+	0.462546i	$0.846936\pi$
$710$	−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	$-0.481447\pi$
$719$	22.8152	−	10.4194i	0.850865	−	0.388577i	0.792613	+	0.609725i	$0.208720\pi$
$720$	3.66768	+	4.23273i	0.136686	+	0.157745i
$721$	−1.18807	−	6.86848i	−0.0442459	−	0.255795i
$722$	−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	$-0.244602\pi$
$727$	25.5636	+	7.50614i	0.948100	+	0.278387i	0.229104	+	0.973402i	$0.426420\pi$
$728$	4.10300	−	0.709712i	0.152067	−	0.0263037i
$729$	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	0.945175	+	0.326565i	$0.105891\pi$
$733$	−1.45436	+	10.1153i	−0.0537179	+	0.373616i	−0.998893	+	0.0470507i	$0.985018\pi$
$734$	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	0.852932	+	0.522022i	$0.174822\pi$
$739$	−3.05883	+	21.2746i	−0.112521	+	0.782599i	−0.965453	+	0.260577i	$0.916087\pi$
$740$	15.3903	+	7.02852i	0.565759	+	0.258373i
$741$	−36.2696	+	10.6497i	−1.33240	+	0.391227i
$742$	1.68580	−	0.828684i	0.0618877	−	0.0304219i
$743$	−23.3457	+	20.2291i	−0.856469	+	0.742135i	−0.967819	−	0.251646i	$-0.919028\pi$
$743$	−23.3457	+	20.2291i	−0.856469	+	0.742135i	0.111350	+	0.993781i	$0.464483\pi$
$744$	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
$749$	30.5863	+	25.0144i	1.11760	+	0.914007i
$750$	0.179880	−	0.612615i	0.00656829	−	0.0223695i
$751$	43.9940	−	6.32538i	1.60536	−	0.230816i	0.719408	−	0.694587i	$-0.244413\pi$
$751$	43.9940	−	6.32538i	1.60536	−	0.230816i	0.885955	+	0.463771i	$0.153504\pi$
$752$	−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
$756$	−5.24855	−	0.602643i	−0.190888	−	0.0219179i
$757$	25.2396	+	39.2735i	0.917348	+	1.42742i	0.904011	+	0.427510i	$0.140609\pi$
$757$	25.2396	+	39.2735i	0.917348	+	1.42742i	0.0133369	+	0.999911i	$0.495755\pi$
$758$			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	0.953238	+	0.302221i	$0.0977282\pi$
$761$	22.9561	+	35.7204i	0.832159	+	1.29486i	−0.121079	+	0.992643i	$0.538635\pi$
$762$	0.811424	+	0.116665i	0.0293948	+	0.00422633i
$763$	8.78626	+	3.71394i	0.318084	+	0.134454i
$764$	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	$-0.559865\pi$
$769$	22.5177	−	25.9868i	0.812009	−	0.937109i	0.998975	+	0.0452576i	$0.0144109\pi$
$770$	0.532882	−	0.883524i	0.0192037	−	0.0318400i
$771$	−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	$-0.525894\pi$
$773$	−19.1415	−	5.62046i	−0.688473	−	0.202154i	−0.607213	+	0.794539i	$0.707713\pi$
$774$	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
$777$	−15.1545	+	4.92265i	−0.543665	+	0.176599i
$778$	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
$784$	22.5464	−	16.3754i	0.805228	−	0.584835i
$785$	−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	$-0.654158\pi$
$787$	−10.6268	+	3.12030i	−0.378804	+	0.111227i	0.0867872	+	0.996227i	$0.472340\pi$
$788$	−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
$791$	8.36049	−	31.7962i	0.297265	−	1.13054i
$792$	−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	0.809193	+	0.587543i	$0.199905\pi$
$797$	5.59847	+	38.9382i	0.198308	+	1.37926i	−0.610885	+	0.791719i	$0.709186\pi$
$798$	0.599093	−	0.549754i	0.0212077	−	0.0194611i
$799$	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
$805$	15.8354	−	8.24198i	0.558126	−	0.290492i
$806$	−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	−0.756891	−	0.653542i	$-0.773282\pi$
$809$	6.61813	−	14.4917i	0.232681	−	0.509500i	0.989572	+	0.144041i	$0.0460098\pi$
$810$	−0.0763807	+	0.0224274i	−0.00268374	+	0.000788018i
$811$	−18.4801	+	8.43960i	−0.648925	+	0.296354i	−0.712552	−	0.701619i	$-0.752461\pi$
$811$	−18.4801	+	8.43960i	−0.648925	+	0.296354i	0.0636264	+	0.997974i	$0.479733\pi$
$812$	−17.7692	−	19.3639i	−0.623575	−	0.679540i
$813$	−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
$819$	4.68233	−	17.8076i	0.163614	−	0.622247i
$820$	15.3496	−	2.20694i	0.536032	−	0.0770697i
$821$	−23.4037	−	27.0094i	−0.816796	−	0.942633i	0.182380	−	0.983228i	$-0.441620\pi$
$821$	−23.4037	−	27.0094i	−0.816796	−	0.942633i	−0.999176	+	0.0405952i	$0.987075\pi$
$822$	−0.188172	−	0.412038i	−0.00656324	−	0.0143715i
$823$	11.9078	−	3.49644i	0.415079	−	0.121878i	−0.0675236	−	0.997718i	$-0.521510\pi$
$823$	11.9078	−	3.49644i	0.415079	−	0.121878i	0.482602	+	0.875840i	$0.339692\pi$
$824$	0.247501	−	0.541952i	0.00862211	−	0.0188798i
$825$	2.10588	−	14.6468i	0.0733175	−	0.509934i
$826$	−0.529107	−	0.773928i	−0.0184100	−	0.0269284i
$827$			22.5811i			0.785223i	0.919704	+	0.392612i	$0.128428\pi$
$827$			22.5811i			0.785223i	−0.919704	+	0.392612i	$0.871572\pi$
$828$	−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
$833$	−33.4042	+	11.9125i	−1.15739	+	0.412745i
$834$	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	$-0.336074\pi$
$839$	−2.73797	−	1.75958i	−0.0945251	−	0.0607476i	−0.587049	+	0.809551i	$0.699711\pi$
$840$	0.434755	−	0.720830i	0.0150005	−	0.0248710i
$841$	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
$847$	13.3906	−	31.6788i	0.460105	−	1.08850i
$848$	−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	$-0.0982125\pi$
$853$	8.19963	+	12.7589i	0.280750	+	0.436855i	−0.672027	+	0.740527i	$0.734576\pi$
$854$	0.0785675	−	0.684262i	0.00268853	−	0.0234150i
$855$	−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	$-0.488186\pi$
$857$	23.9067	−	10.9178i	0.816636	−	0.372945i	0.779529	+	0.626366i	$0.215459\pi$
$858$	1.45787	−	1.26325i	0.0497708	−	0.0431266i
$859$	39.3581	−	5.65884i	1.34288	−	0.193077i	0.566875	−	0.823804i	$-0.308152\pi$
$859$	39.3581	−	5.65884i	1.34288	−	0.193077i	0.776005	+	0.630727i	$0.217243\pi$
$860$	3.89436	−	13.2630i	0.132797	−	0.452264i
$861$	−9.24567	+	11.3051i	−0.315091	+	0.385277i
$862$	0.625414	−	0.973164i	0.0213017	−	0.0331461i
$863$	−24.6111	−	15.8166i	−0.837772	−	0.538403i	0.0499669	−	0.998751i	$-0.484088\pi$
$863$	−24.6111	−	15.8166i	−0.837772	−	0.538403i	−0.887739	+	0.460348i	$0.847725\pi$
$864$	−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
$868$	−33.1713	+	16.3059i	−1.12591	+	0.553458i
$869$	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	−0.980934	−	0.194340i	$-0.937743\pi$
$877$	0.444723	−	3.09312i	0.0150172	−	0.104447i	0.995951	+	0.0898930i	$0.0286525\pi$
$878$	−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	$-0.0518387\pi$
$881$	20.3571	+	23.4934i	0.685850	+	0.791513i	−0.300919	+	0.953650i	$0.597293\pi$
$882$	0.0785924	+	0.388190i	0.00264634	+	0.0130710i
$883$	40.6202	+	11.9272i	1.36698	+	0.401381i	0.881218	−	0.472711i	$-0.156724\pi$
$883$	40.6202	+	11.9272i	1.36698	+	0.401381i	0.485761	+	0.874092i	$0.338543\pi$
$884$	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	$-0.114438\pi$
$887$	21.4744	+	18.6077i	0.721040	+	0.624785i	−0.215026	+	0.976608i	$0.568984\pi$
$888$	−1.30677	−	0.383702i	−0.0438523	−	0.0128762i
$889$	6.53355	+	37.7719i	0.219128	+	1.26683i
$890$	−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
$903$	5.74285	+	11.6827i	0.191110	+	0.388777i
$904$	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	0.573221	−	0.819400i	$-0.305693\pi$
$907$	−4.70602	−	4.07779i	−0.156261	−	0.135401i	−0.729482	+	0.684000i	$0.760239\pi$
$908$	−5.18078	−	3.32948i	−0.171930	−	0.110493i
$909$	−0.0500986	+	0.0779549i	−0.00166167	+	0.00258560i
$910$	1.13463	+	0.927937i	0.0376127	+	0.0307608i
$911$	14.0611	−	47.8876i	0.465864	−	1.58659i	−0.306800	−	0.951774i	$-0.599258\pi$
$911$	14.0611	−	47.8876i	0.465864	−	1.58659i	0.772665	−	0.634815i	$-0.218923\pi$
$912$	−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
$917$	−14.1490	−	1.62460i	−0.467240	−	0.0536489i
$918$	0.154981	+	0.241155i	0.00511513	+	0.00795929i
$919$		−	33.8223i		−	1.11569i	−0.829944	−	0.557847i	$-0.811628\pi$
$919$		−	33.8223i		−	1.11569i	0.829944	−	0.557847i	$-0.188372\pi$
$920$	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
$924$	10.0766	−	23.8388i	0.331497	−	0.784240i
$925$	−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	$-0.856774\pi$
$929$	2.81000	−	9.56998i	0.0921931	−	0.313981i	0.992659	+	0.120945i	$0.0385926\pi$
$930$	−0.364726	+	0.420916i	−0.0119598	+	0.0138024i
$931$	33.1039	+	18.7016i	1.08494	+	0.612922i
$932$	−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	0.895755	+	0.444548i	$0.146636\pi$
$937$	19.7476	+	43.2413i	0.645127	+	1.41263i	−0.250627	+	0.968084i	$0.580637\pi$
$938$	0.183707	+	0.565548i	0.00599826	+	0.0184658i
$939$	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	$-0.862758\pi$
$941$	−27.7837	+	17.8555i	−0.905721	+	0.582072i	0.00276046	+	0.999996i	$0.499121\pi$
$942$		−	0.269904i		−	0.00879394i
$943$	−25.5653	−	6.87168i	−0.832520	−	0.223773i
$944$			24.9303i			0.811411i
$945$	−2.10083	−	3.07289i	−0.0683399	−	0.0999612i
$946$	−0.194093	+	1.34995i	−0.00631052	+	0.0438906i
$947$	−13.6203	+	29.8244i	−0.442601	+	0.969162i	0.548512	+	0.836143i	$0.315195\pi$
$947$	−13.6203	+	29.8244i	−0.442601	+	0.969162i	−0.991113	+	0.133019i	$0.957533\pi$
$948$	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
$952$	−2.93166	−	0.770850i	−0.0950156	−	0.0249834i
$953$	33.6263	+	29.1373i	1.08926	+	0.943851i	0.998645	−	0.0520353i	$-0.0165708\pi$
$953$	33.6263	+	29.1373i	1.08926	+	0.943851i	0.0906164	+	0.995886i	$0.471116\pi$
$954$	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
$959$	15.6062	−	14.3210i	0.503952	−	0.462448i
$960$	−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
$966$	−0.583182	+	0.418716i	−0.0187636	+	0.0134720i
$967$	−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	$-0.518707\pi$
$971$	13.4477	−	3.94861i	0.431558	−	0.126717i	0.490295	+	0.871557i	$0.336889\pi$
$972$	−1.81635	+	0.829500i	−0.0582595	+	0.0266062i
$973$	−4.89725	+	4.49393i	−0.156999	+	0.144069i
$974$	−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	−0.779370	−	0.626564i	$-0.784461\pi$
$977$	3.57375	−	5.56086i	0.114334	−	0.177908i	0.893705	+	0.448656i	$0.148097\pi$
$978$	−0.350266	+	0.545025i	−0.0112003	+	0.0174280i
$979$	−53.7831	−	46.6033i	−1.71891	−	1.48945i
$980$	19.1537	+	4.45725i	0.611842	+	0.142382i
$981$	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	$-0.0835552\pi$
$983$	4.30178	+	9.41959i	0.137206	+	0.300438i	−0.828540	+	0.559930i	$0.810828\pi$
$984$	−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
$987$	3.10215	−	2.12083i	0.0987426	−	0.0675068i
$988$		−	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	0.518831	−	0.854877i	$-0.326367\pi$
$991$	47.5975	−	30.5891i	1.51198	−	0.971693i	0.993154	−	0.116816i	$-0.0372689\pi$
$992$	−4.69198	−	0.674605i	−0.148971	−	0.0214187i
$993$	−11.3553	−	5.18581i	−0.360351	−	0.164567i
$994$	0.735704	−	0.238979i	0.0233351	−	0.00757996i
$995$	−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	$-0.614207\pi$
$997$	−13.3964	+	1.92611i	−0.424269	+	0.0610006i	−0.0731262	+	0.997323i	$0.523298\pi$
$998$	−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.34.18	yes	320
7.6	odd	2	inner	483.2.r.a.34.17	✓	320
23.21	odd	22	inner	483.2.r.a.412.17	yes	320
161.90	even	22	inner	483.2.r.a.412.18	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.r.a.34.17	✓	320	7.6	odd	2	inner
483.2.r.a.34.18	yes	320	1.1	even	1	trivial
483.2.r.a.412.17	yes	320	23.21	odd	22	inner
483.2.r.a.412.18	yes	320	161.90	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)

\(f(q)\)	\(=\)	\(q+(0.0475988 - 0.0305899i) q^{2} +(0.989821 + 0.142315i) q^{3} +(-0.829500 + 1.81635i) q^{4} +(-1.34994 + 0.396378i) q^{5} +(0.0514677 - 0.0235045i) q^{6} +(1.78883 + 1.94938i) q^{7} +(0.0321834 + 0.223840i) q^{8} +(0.959493 + 0.281733i) q^{9} +O(q^{10})\)	\(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} +(1.78883 + 1.94938i) 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} +(0.144778 + 0.0380678i) 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} +(1.49320 + 2.18411i) 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} +(-5.02459 + 1.63214i) 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} +(-3.18751 - 1.92249i) 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} +(0.137886 + 0.0582844i) 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} +(-0.600148 + 6.97423i) 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} +(-0.378779 + 0.463151i) 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} +(1.16717 + 2.37439i) 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} +(-12.7716 + 2.20915i) 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} +(-5.20573 + 0.900455i) 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} +(0.184775 + 0.350323i) 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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