LMFDB - Embedded newform 570.2.bi.a.473.28

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [570,2,Mod(17,570)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(570, base_ring=CyclotomicField(36))

chi = DirichletCharacter(H, H._module([18, 9, 20]))

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

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

chi := DirichletCharacter("570.17");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 570 = 2 \cdot 3 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	570.bi (of order $36$, degree $12$, 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:	$4.55147291521$
Analytic rank:	$0$
Dimension:	$480$
Relative dimension:	$40$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			473.28
Character	$\chi$	$=$	570.473
Dual form			570.2.bi.a.47.28

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.819152 - 0.573576i) q^{2} +(-0.905142 - 1.47673i) q^{3} +(0.342020 - 0.939693i) q^{4} +(2.22540 + 0.218157i) q^{5} +(-1.58846 - 0.690494i) q^{6} +(-3.72335 - 0.997670i) q^{7} +(-0.258819 - 0.965926i) q^{8} +(-1.36143 + 2.67329i) q^{9} +O(q^{10})$	\(q+(0.819152 - 0.573576i) q^{2} +(-0.905142 - 1.47673i) q^{3} +(0.342020 - 0.939693i) q^{4} +(2.22540 + 0.218157i) q^{5} +(-1.58846 - 0.690494i) q^{6} +(-3.72335 - 0.997670i) q^{7} +(-0.258819 - 0.965926i) q^{8} +(-1.36143 + 2.67329i) q^{9} +(1.94807 - 1.09773i) q^{10} +(-5.37905 - 3.10559i) q^{11} +(-1.69724 + 0.345486i) q^{12} +(0.170138 + 0.0148851i) q^{13} +(-3.62223 + 1.31839i) q^{14} +(-1.69215 - 3.48377i) q^{15} +(-0.766044 - 0.642788i) q^{16} +(1.47927 - 1.03580i) q^{17} +(0.418116 + 2.97072i) q^{18} +(-4.29655 - 0.734629i) q^{19} +(0.966132 - 2.01658i) q^{20} +(1.89688 + 6.40140i) q^{21} +(-6.18755 + 0.541341i) q^{22} +(6.69654 - 3.12265i) q^{23} +(-1.19214 + 1.25650i) q^{24} +(4.90481 + 0.970974i) q^{25} +(0.147906 - 0.0853938i) q^{26} +(5.18001 - 0.409245i) q^{27} +(-2.21097 + 3.15759i) q^{28} +(-1.14890 - 6.51574i) q^{29} +(-3.38433 - 1.88316i) q^{30} +(-0.994699 - 1.72287i) q^{31} +(-0.996195 - 0.0871557i) q^{32} +(0.282694 + 10.7544i) q^{33} +(0.617641 - 1.69695i) q^{34} +(-8.06831 - 3.03249i) q^{35} +(2.04644 + 2.19365i) q^{36} +(-5.60123 + 5.60123i) q^{37} +(-3.94089 + 1.86263i) q^{38} +(-0.132018 - 0.264720i) q^{39} +(-0.365253 - 2.20604i) q^{40} +(2.31503 - 2.75895i) q^{41} +(5.22553 + 4.15572i) q^{42} +(4.86935 + 2.27061i) q^{43} +(-4.75805 + 3.99248i) q^{44} +(-3.61294 + 5.65214i) q^{45} +(3.69441 - 6.39890i) q^{46} +(-1.87426 + 2.67672i) q^{47} +(-0.255841 + 1.71305i) q^{48} +(6.80584 + 3.92936i) q^{49} +(4.57472 - 2.01791i) q^{50} +(-2.86855 - 1.24694i) q^{51} +(0.0721779 - 0.154786i) q^{52} +(5.69696 - 2.65654i) q^{53} +(4.00848 - 3.30637i) q^{54} +(-11.2930 - 8.08467i) q^{55} +3.85470i q^{56} +(2.80414 + 7.00976i) q^{57} +(-4.67840 - 4.67840i) q^{58} +(-0.280178 + 1.58897i) q^{59} +(-3.85242 + 0.398578i) q^{60} +(-6.41592 - 2.33520i) q^{61} +(-1.80301 - 0.840756i) q^{62} +(7.73617 - 8.59535i) q^{63} +(-0.866025 + 0.500000i) q^{64} +(0.375377 + 0.0702421i) q^{65} +(6.40003 + 8.64733i) q^{66} +(7.00516 + 4.90506i) q^{67} +(-0.467391 - 1.74433i) q^{68} +(-10.6726 - 7.06251i) q^{69} +(-8.34853 + 2.14372i) q^{70} +(1.55270 + 4.26601i) q^{71} +(2.93457 + 0.623146i) q^{72} +(-1.30619 - 14.9298i) q^{73} +(-1.37552 + 7.80099i) q^{74} +(-3.00569 - 8.12193i) q^{75} +(-2.15983 + 3.78618i) q^{76} +(16.9297 + 16.9297i) q^{77} +(-0.259979 - 0.141124i) q^{78} +(1.71816 - 2.04762i) q^{79} +(-1.56453 - 1.59758i) q^{80} +(-5.29299 - 7.27903i) q^{81} +(0.313896 - 3.58785i) q^{82} +(11.8579 + 3.17731i) q^{83} +(6.66412 + 0.406924i) q^{84} +(3.51795 - 1.98235i) q^{85} +(5.29111 - 0.932965i) q^{86} +(-8.58204 + 7.59428i) q^{87} +(-1.60757 + 5.99955i) q^{88} +(4.82625 - 4.04970i) q^{89} +(0.282391 + 6.70226i) q^{90} +(-0.618632 - 0.225164i) q^{91} +(-0.643978 - 7.36070i) q^{92} +(-1.64386 + 3.02834i) q^{93} +3.26768i q^{94} +(-9.40127 - 2.57217i) q^{95} +(0.772993 + 1.54999i) q^{96} +(-8.06126 - 11.5127i) q^{97} +(7.82881 - 0.684932i) q^{98} +(15.6254 - 10.1517i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 480 q+O(q^{10}) $ 480 * q	$ 480 q - 36 q^{15} - 48 q^{18} + 24 q^{22} - 24 q^{25} + 72 q^{33} + 24 q^{43} - 36 q^{45} + 24 q^{51} - 120 q^{55} + 108 q^{57} - 48 q^{60} - 48 q^{61} - 36 q^{63} - 24 q^{66} + 48 q^{67} - 48 q^{70} - 48 q^{78} - 144 q^{81} - 48 q^{85} - 96 q^{87} - 168 q^{90} - 144 q^{91} - 228 q^{93} + 48 q^{97}+O(q^{100}) $ 480 * q - 36 * q^15 - 48 * q^18 + 24 * q^22 - 24 * q^25 + 72 * q^33 + 24 * q^43 - 36 * q^45 + 24 * q^51 - 120 * q^55 + 108 * q^57 - 48 * q^60 - 48 * q^61 - 36 * q^63 - 24 * q^66 + 48 * q^67 - 48 * q^70 - 48 * q^78 - 144 * q^81 - 48 * q^85 - 96 * q^87 - 168 * q^90 - 144 * q^91 - 228 * q^93 + 48 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/570\mathbb{Z}\right)^\times$.

$n$	$191$	$211$	$457$
$\chi(n)$	$-1$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	0.819152	−	0.573576i	0.579228	−	0.405580i
$2$	0.819152	−	0.573576i	0.579228	−	0.405580i
$3$	−0.905142	−	1.47673i	−0.522584	−	0.852588i
$3$	−0.905142	−	1.47673i	−0.522584	−	0.852588i
$4$	0.342020	−	0.939693i	0.171010	−	0.469846i
$5$	2.22540	+	0.218157i	0.995229	+	0.0975628i
$5$	2.22540	+	0.218157i	0.995229	+	0.0975628i
$6$	−1.58846	−	0.690494i	−0.648488	−	0.281893i
$7$	−3.72335	−	0.997670i	−1.40730	−	0.377084i	−0.526337	−	0.850276i	$-0.676435\pi$
$7$	−3.72335	−	0.997670i	−1.40730	−	0.377084i	−0.880959	+	0.473193i	$0.843101\pi$
$8$	−0.258819	−	0.965926i	−0.0915064	−	0.341506i
$9$	−1.36143	+	2.67329i	−0.453812	+	0.891098i
$10$	1.94807	−	1.09773i	0.616034	−	0.347134i
$11$	−5.37905	−	3.10559i	−1.62184	−	0.936372i	−0.986427	−	0.164203i	$-0.947495\pi$
$11$	−5.37905	−	3.10559i	−1.62184	−	0.936372i	−0.635417	−	0.772169i	$-0.719172\pi$
$12$	−1.69724	+	0.345486i	−0.489952	+	0.0997331i
$13$	0.170138	+	0.0148851i	0.0471877	+	0.00412839i	0.110725	−	0.993851i	$-0.464683\pi$
$13$	0.170138	+	0.0148851i	0.0471877	+	0.00412839i	−0.0635374	+	0.997979i	$0.520238\pi$
$14$	−3.62223	+	1.31839i	−0.968083	+	0.352353i
$15$	−1.69215	−	3.48377i	−0.436910	−	0.899505i
$16$	−0.766044	−	0.642788i	−0.191511	−	0.160697i
$17$	1.47927	−	1.03580i	0.358777	−	0.251218i	−0.380265	−	0.924877i	$-0.624167\pi$
$17$	1.47927	−	1.03580i	0.358777	−	0.251218i	0.739042	+	0.673659i	$0.235278\pi$
$18$	0.418116	+	2.97072i	0.0985508	+	0.700205i
$19$	−4.29655	−	0.734629i	−0.985696	−	0.168535i
$19$	−4.29655	−	0.734629i	−0.985696	−	0.168535i
$20$	0.966132	−	2.01658i	0.216034	−	0.450921i
$21$	1.89688	+	6.40140i	0.413933	+	1.39690i
$22$	−6.18755	+	0.541341i	−1.31919	+	0.115414i
$23$	6.69654	−	3.12265i	1.39633	−	0.651117i	0.428686	−	0.903454i	$-0.358977\pi$
$23$	6.69654	−	3.12265i	1.39633	−	0.651117i	0.967640	+	0.252337i	$0.0811990\pi$
$24$	−1.19214	+	1.25650i	−0.243344	+	0.256483i
$25$	4.90481	+	0.970974i	0.980963	+	0.194195i
$26$	0.147906	−	0.0853938i	0.0290068	−	0.0167471i
$27$	5.18001	−	0.409245i	0.996894	−	0.0787593i
$28$	−2.21097	+	3.15759i	−0.417833	+	0.596728i
$29$	−1.14890	−	6.51574i	−0.213346	−	1.20994i	−0.883754	−	0.467951i	$-0.844992\pi$
$29$	−1.14890	−	6.51574i	−0.213346	−	1.20994i	0.670409	−	0.741992i	$-0.266119\pi$
$30$	−3.38433	−	1.88316i	−0.617892	−	0.343817i
$31$	−0.994699	−	1.72287i	−0.178653	−	0.309436i	0.762766	−	0.646674i	$-0.223841\pi$
$31$	−0.994699	−	1.72287i	−0.178653	−	0.309436i	−0.941419	+	0.337238i	$0.890507\pi$
$32$	−0.996195	−	0.0871557i	−0.176104	−	0.0154071i
$33$	0.282694	+	10.7544i	0.0492106	+	1.87210i
$34$	0.617641	−	1.69695i	0.105925	−	0.291025i
$35$	−8.06831	−	3.03249i	−1.36379	−	0.512585i
$36$	2.04644	+	2.19365i	0.341073	+	0.365608i
$37$	−5.60123	+	5.60123i	−0.920836	+	0.920836i	−0.997089	−	0.0762525i	$-0.975704\pi$
$37$	−5.60123	+	5.60123i	−0.920836	+	0.920836i	0.0762525	+	0.997089i	$0.475704\pi$
$38$	−3.94089	+	1.86263i	−0.639297	+	0.302158i
$39$	−0.132018	−	0.264720i	−0.0211397	−	0.0423891i
$40$	−0.365253	−	2.20604i	−0.0577515	−	0.348805i
$41$	2.31503	−	2.75895i	0.361547	−	0.430875i	−0.554353	−	0.832282i	$-0.687034\pi$
$41$	2.31503	−	2.75895i	0.361547	−	0.430875i	0.915900	+	0.401407i	$0.131479\pi$
$42$	5.22553	+	4.15572i	0.806317	+	0.641241i
$43$	4.86935	+	2.27061i	0.742569	+	0.346265i	0.756812	−	0.653633i	$-0.226756\pi$
$43$	4.86935	+	2.27061i	0.742569	+	0.346265i	−0.0142429	+	0.999899i	$0.504534\pi$
$44$	−4.75805	+	3.99248i	−0.717303	+	0.601888i
$45$	−3.61294	+	5.65214i	−0.538585	+	0.842571i
$46$	3.69441	−	6.39890i	0.544711	−	0.943466i
$47$	−1.87426	+	2.67672i	−0.273389	+	0.390440i	−0.932244	−	0.361830i	$-0.882152\pi$
$47$	−1.87426	+	2.67672i	−0.273389	+	0.390440i	0.658855	+	0.752270i	$0.271041\pi$
$48$	−0.255841	+	1.71305i	−0.0369275	+	0.247258i
$49$	6.80584	+	3.92936i	0.972263	+	0.561337i
$50$	4.57472	−	2.01791i	0.646963	−	0.285376i
$51$	−2.86855	−	1.24694i	−0.401677	−	0.174606i
$52$	0.0721779	−	0.154786i	0.0100093	−	0.0214650i
$53$	5.69696	−	2.65654i	0.782538	−	0.364903i	0.0100634	−	0.999949i	$-0.496797\pi$
$53$	5.69696	−	2.65654i	0.782538	−	0.364903i	0.772474	+	0.635046i	$0.219019\pi$
$54$	4.00848	−	3.30637i	0.545486	−	0.449939i
$55$	−11.2930	−	8.08467i	−1.52275	−	1.09014i
$56$			3.85470i			0.515106i
$57$	2.80414	+	7.00976i	0.371418	+	0.928466i
$58$	−4.67840	−	4.67840i	−0.614304	−	0.614304i
$59$	−0.280178	+	1.58897i	−0.0364761	+	0.206866i	−0.997599	−	0.0692547i	$-0.977938\pi$
$59$	−0.280178	+	1.58897i	−0.0364761	+	0.206866i	0.961123	+	0.276121i	$0.0890490\pi$
$60$	−3.85242	+	0.398578i	−0.497345	+	0.0514562i
$61$	−6.41592	−	2.33520i	−0.821474	−	0.298992i	−0.103119	−	0.994669i	$-0.532882\pi$
$61$	−6.41592	−	2.33520i	−0.821474	−	0.298992i	−0.718355	+	0.695677i	$0.755105\pi$
$62$	−1.80301	−	0.840756i	−0.228982	−	0.106776i
$63$	7.73617	−	8.59535i	0.974666	−	1.08291i
$64$	−0.866025	+	0.500000i	−0.108253	+	0.0625000i
$65$	0.375377	+	0.0702421i	0.0465598	+	0.00871246i
$66$	6.40003	+	8.64733i	0.787789	+	1.06441i
$67$	7.00516	+	4.90506i	0.855816	+	0.599249i	0.917004	−	0.398877i	$-0.130600\pi$
$67$	7.00516	+	4.90506i	0.855816	+	0.599249i	−0.0611883	+	0.998126i	$0.519489\pi$
$68$	−0.467391	−	1.74433i	−0.0566795	−	0.211531i
$69$	−10.6726	−	7.06251i	−1.28483	−	0.850226i
$70$	−8.34853	+	2.14372i	−0.997841	+	0.256223i
$71$	1.55270	+	4.26601i	0.184272	+	0.506282i	0.997090	−	0.0762354i	$-0.0242900\pi$
$71$	1.55270	+	4.26601i	0.184272	+	0.506282i	−0.812818	+	0.582517i	$0.802068\pi$
$72$	2.93457	+	0.623146i	0.345842	+	0.0734385i
$73$	−1.30619	−	14.9298i	−0.152878	−	1.74741i	−0.555028	−	0.831831i	$-0.687293\pi$
$73$	−1.30619	−	14.9298i	−0.152878	−	1.74741i	0.402150	−	0.915574i	$-0.368263\pi$
$74$	−1.37552	+	7.80099i	−0.159901	+	0.906846i
$75$	−3.00569	−	8.12193i	−0.347068	−	0.937840i
$76$	−2.15983	+	3.78618i	−0.247750	+	0.434304i
$77$	16.9297	+	16.9297i	1.92932	+	1.92932i
$78$	−0.259979	−	0.141124i	−0.0294369	−	0.0159791i
$79$	1.71816	−	2.04762i	0.193308	−	0.230376i	−0.660681	−	0.750667i	$-0.729732\pi$
$79$	1.71816	−	2.04762i	0.193308	−	0.230376i	0.853989	+	0.520292i	$0.174177\pi$
$80$	−1.56453	−	1.59758i	−0.174919	−	0.178615i
$81$	−5.29299	−	7.27903i	−0.588110	−	0.808781i
$82$	0.313896	−	3.58785i	0.0346640	−	0.396211i
$83$	11.8579	+	3.17731i	1.30157	+	0.348756i	0.842045	−	0.539407i	$-0.181352\pi$
$83$	11.8579	+	3.17731i	1.30157	+	0.348756i	0.459529	+	0.888163i	$0.348018\pi$
$84$	6.66412	+	0.406924i	0.727116	+	0.0443990i
$85$	3.51795	−	1.98235i	0.381575	−	0.215017i
$86$	5.29111	−	0.932965i	0.570555	−	0.100604i
$87$	−8.58204	+	7.59428i	−0.920091	+	0.814193i
$88$	−1.60757	+	5.99955i	−0.171368	+	0.639554i
$89$	4.82625	−	4.04970i	0.511581	−	0.429268i	−0.350104	−	0.936711i	$-0.613854\pi$
$89$	4.82625	−	4.04970i	0.511581	−	0.429268i	0.861685	+	0.507443i	$0.169409\pi$
$90$	0.282391	+	6.70226i	0.0297666	+	0.706480i
$91$	−0.618632	−	0.225164i	−0.0648503	−	0.0236036i
$92$	−0.643978	−	7.36070i	−0.0671393	−	0.767406i
$93$	−1.64386	+	3.02834i	−0.170460	+	0.314024i
$94$			3.26768i			0.337035i
$95$	−9.40127	−	2.57217i	−0.964550	−	0.263899i
$96$	0.772993	+	1.54999i	0.0788933	+	0.158196i
$97$	−8.06126	−	11.5127i	−0.818497	−	1.16894i	−0.983189	−	0.182590i	$-0.941552\pi$
$97$	−8.06126	−	11.5127i	−0.818497	−	1.16894i	0.164692	−	0.986345i	$-0.447337\pi$
$98$	7.82881	−	0.684932i	0.790829	−	0.0691886i
$99$	15.6254	−	10.1517i	1.57041	−	1.02028i
$100$	2.58996	−	4.27693i	0.258996	−	0.427693i
$101$	4.28641	+	5.10834i	0.426514	+	0.508299i	0.935913	−	0.352231i	$-0.114577\pi$
$101$	4.28641	+	5.10834i	0.426514	+	0.508299i	−0.509399	+	0.860530i	$0.670132\pi$
$102$	−3.06499	+	0.623899i	−0.303479	+	0.0617752i
$103$	6.22560	−	1.66814i	0.613426	−	0.164367i	0.0612886	−	0.998120i	$-0.480479\pi$
$103$	6.22560	−	1.66814i	0.613426	−	0.164367i	0.552138	+	0.833753i	$0.313812\pi$
$104$	−0.0296569	−	0.168193i	−0.00290810	−	0.0164927i
$105$	2.82481	+	14.6595i	0.275673	+	1.43062i
$106$	3.14295	−	5.44375i	0.305270	−	0.528744i
$107$	−1.14667	+	4.27944i	−0.110853	+	0.413709i	−0.998943	−	0.0459598i	$-0.985365\pi$
$107$	−1.14667	+	4.27944i	−0.110853	+	0.413709i	0.888090	+	0.459669i	$0.152032\pi$
$108$	1.38710	−	5.00759i	0.133474	−	0.481855i
$109$	−4.88460	−	13.4203i	−0.467860	−	1.28544i	−0.919449	−	0.393209i	$-0.871365\pi$
$109$	−4.88460	−	13.4203i	−0.467860	−	1.28544i	0.451589	−	0.892226i	$-0.350857\pi$
$110$	−13.8879	−	0.145158i	−1.32416	−	0.0138403i
$111$	13.3414	+	3.20157i	1.26631	+	0.303879i
$112$	2.21097	+	3.15759i	0.208917	+	0.298364i
$113$	9.98092	−	9.98092i	0.938926	−	0.938926i	−0.0593137	−	0.998239i	$-0.518891\pi$
$113$	9.98092	−	9.98092i	0.938926	−	0.938926i	0.998239	+	0.0593137i	$0.0188912\pi$
$114$	6.31765	+	4.13367i	0.591702	+	0.387154i
$115$	15.5837	−	5.48824i	1.45319	−	0.511781i
$116$	−6.51574	−	1.14890i	−0.604971	−	0.106673i
$117$	−0.271424	+	0.434563i	−0.0250931	+	0.0401753i
$118$	0.681887	+	1.46231i	0.0627728	+	0.134617i
$119$	−6.54125	+	2.38082i	−0.599635	+	0.218249i
$120$	−2.92710	+	2.53615i	−0.267207	+	0.231518i
$121$	13.7894	+	23.8840i	1.25358	+	2.17127i
$122$	−6.59503	+	1.76713i	−0.597086	+	0.159989i
$123$	−6.16964	−	0.921426i	−0.556298	−	0.0830822i
$124$	−1.95917	+	0.345455i	−0.175939	+	0.0310228i
$125$	10.7034	+	3.23083i	0.957337	+	0.288974i
$126$	1.40701	−	11.4782i	0.125346	−	1.02256i
$127$	0.747427	−	8.54313i	0.0663234	−	0.758080i	−0.888105	−	0.459641i	$-0.847978\pi$
$127$	0.747427	−	8.54313i	0.0663234	−	0.758080i	0.954428	−	0.298440i	$-0.0964662\pi$
$128$	−0.422618	+	0.906308i	−0.0373545	+	0.0801070i
$129$	−1.05438	−	9.24592i	−0.0928329	−	0.814058i
$130$	0.347780	−	0.157769i	0.0305023	−	0.0138372i
$131$	−0.600560	−	0.105895i	−0.0524712	−	0.00925209i	0.147351	−	0.989084i	$-0.452925\pi$
$131$	−0.600560	−	0.105895i	−0.0524712	−	0.00925209i	−0.199822	+	0.979832i	$0.564036\pi$
$132$	10.2025	+	3.41257i	0.888013	+	0.297026i
$133$	15.2647	+	7.02182i	1.32361	+	0.608869i
$134$	8.55172			0.738756
$135$	11.6169	+	0.219321i	0.999822	+	0.0188762i
$136$	−1.38337	−	1.16079i	−0.118623	−	0.0995365i
$137$	2.31990	+	4.97504i	0.198202	+	0.425046i	0.980139	−	0.198312i	$-0.0635458\pi$
$137$	2.31990	+	4.97504i	0.198202	+	0.425046i	−0.781937	+	0.623358i	$0.785768\pi$
$138$	−12.7934	+	0.336292i	−1.08905	+	0.0286270i
$139$	10.3222	+	12.3015i	0.875520	+	1.04340i	0.998698	+	0.0510191i	$0.0162469\pi$
$139$	10.3222	+	12.3015i	0.875520	+	1.04340i	−0.123178	+	0.992385i	$0.539309\pi$
$140$	−5.60913	+	6.54455i	−0.474058	+	0.553116i
$141$	5.64926	+	0.344954i	0.475753	+	0.0290504i
$142$	3.71878	+	2.60392i	0.312073	+	0.218516i
$143$	−0.868951	−	0.608446i	−0.0726654	−	0.0508808i
$144$	2.76128	−	1.17275i	0.230107	−	0.0977290i
$145$	−1.13531	−	14.7508i	−0.0942824	−	1.22499i
$146$	−9.63337	−	11.4806i	−0.797264	−	0.950142i
$147$	−0.357678	−	13.6070i	−0.0295008	−	1.12229i
$148$	3.34770	+	7.17916i	0.275179	+	0.590124i
$149$	−10.0722	−	8.45159i	−0.825148	−	0.692382i	0.129023	−	0.991642i	$-0.458816\pi$
$149$	−10.0722	−	8.45159i	−0.825148	−	0.692382i	−0.954172	+	0.299260i	$0.903260\pi$
$150$	−7.12067	−	4.92910i	−0.581400	−	0.402460i
$151$	−6.57039			−0.534691			−0.267345	−	0.963601i	$-0.586146\pi$
$151$	−6.57039			−0.534691			−0.267345	+	0.963601i	$0.586146\pi$
$152$	0.402431	+	4.34028i	0.0326415	+	0.352043i
$153$	0.755059	+	5.36471i	0.0610429	+	0.433711i
$154$	23.5785	+	4.15753i	1.90001	+	0.335023i
$155$	−1.83775	−	4.05107i	−0.147611	−	0.325390i
$156$	−0.293908	+	0.0335165i	−0.0235315	+	0.00268346i
$157$	−3.70055	+	7.93586i	−0.295336	+	0.633351i	−0.996850	−	0.0793048i	$-0.974730\pi$
$157$	−3.70055	+	7.93586i	−0.295336	+	0.633351i	0.701514	+	0.712656i	$0.252508\pi$
$158$	0.232966	−	2.66281i	0.0185338	−	0.211842i
$159$	−9.07953	−	6.00830i	−0.720054	−	0.476489i
$160$	−2.19792	−	0.411283i	−0.173761	−	0.0325148i
$161$	−28.0490	+	4.94579i	−2.21057	+	0.389783i
$162$	−8.51084	−	2.92670i	−0.668675	−	0.229943i
$163$	−17.3233	+	4.64177i	−1.35687	+	0.363571i	−0.862665	−	0.505776i	$-0.831206\pi$
$163$	−17.3233	+	4.64177i	−1.35687	+	0.363571i	−0.494202	+	0.869347i	$0.664540\pi$
$164$	−1.80078	−	3.11903i	−0.140617	−	0.243556i
$165$	−1.71704	+	23.9945i	−0.133671	+	1.86797i
$166$	11.5359	−	4.19871i	0.895356	−	0.325883i
$167$	1.00576	+	2.15685i	0.0778277	+	0.166902i	0.941371	−	0.337372i	$-0.109538\pi$
$167$	1.00576	+	2.15685i	0.0778277	+	0.166902i	−0.863544	+	0.504274i	$0.831760\pi$
$168$	5.69233	−	3.48905i	0.439173	−	0.269186i
$169$	−12.7738	−	2.25236i	−0.982598	−	0.173259i
$170$	1.74470	−	3.64166i	0.133812	−	0.279303i
$171$	7.81335	−	10.4858i	0.597502	−	0.801868i
$172$	3.79909	−	3.79909i	0.289678	−	0.289678i
$173$	−0.631290	−	0.901575i	−0.0479961	−	0.0685455i	0.794437	−	0.607347i	$-0.207766\pi$
$173$	−0.631290	−	0.901575i	−0.0479961	−	0.0685455i	−0.842433	+	0.538801i	$0.818877\pi$
$174$	−2.67409	+	11.1433i	−0.202723	+	0.844774i
$175$	−17.2937	−	8.50866i	−1.30728	−	0.643195i
$176$	2.12435	+	5.83661i	0.160129	+	0.439951i
$177$	2.60007	−	1.02450i	0.195433	−	0.0770059i
$178$	1.63062	−	6.08554i	0.122220	−	0.456131i
$179$	−6.73663	+	11.6682i	−0.503520	+	0.872122i	0.496472	+	0.868053i	$0.334629\pi$
$179$	−6.73663	+	11.6682i	−0.503520	+	0.872122i	−0.999992	+	0.00406900i	$0.998705\pi$
$180$	4.07558	+	5.32819i	0.303776	+	0.397140i
$181$	1.39404	+	7.90599i	0.103618	+	0.587648i	0.991763	+	0.128085i	$0.0408829\pi$
$181$	1.39404	+	7.90599i	0.103618	+	0.587648i	−0.888145	+	0.459563i	$0.848006\pi$
$182$	−0.635903	+	0.170390i	−0.0471362	+	0.0126301i
$183$	2.35886	+	11.5882i	0.174372	+	0.856627i
$184$	−4.74944	−	5.66016i	−0.350133	−	0.417273i
$185$	−13.6869	+	11.2430i	−1.00628	+	0.826604i
$186$	0.390412	+	3.42355i	0.0286264	+	0.251027i
$187$	−11.1739	+	0.977586i	−0.817114	+	0.0714882i
$188$	1.87426	+	2.67672i	0.136695	+	0.195220i
$189$	−19.6953	−	3.64418i	−1.43262	−	0.265075i
$190$	−9.17641	+	3.28535i	−0.665727	+	0.238345i
$191$		−	8.80171i		−	0.636870i	−0.947945	−	0.318435i	$-0.896843\pi$
$191$		−	8.80171i		−	0.636870i	0.947945	−	0.318435i	$-0.103157\pi$
$192$	1.52224	+	0.826310i	0.109858	+	0.0596338i
$193$	−1.57316	−	17.9812i	−0.113238	−	1.29432i	−0.813976	−	0.580899i	$-0.802701\pi$
$193$	−1.57316	−	17.9812i	−0.113238	−	1.29432i	0.700737	−	0.713419i	$-0.252855\pi$
$194$	−13.2068	−	4.80688i	−0.948193	−	0.345114i
$195$	−0.236041	−	0.617908i	−0.0169033	−	0.0442493i
$196$	6.02012	−	5.05148i	0.430009	−	0.360820i
$197$	−1.06962	+	3.99189i	−0.0762075	+	0.284410i	−0.993504	−	0.113794i	$-0.963700\pi$
$197$	−1.06962	+	3.99189i	−0.0762075	+	0.284410i	0.917297	+	0.398204i	$0.130366\pi$
$198$	6.97679	−	17.2781i	0.495819	−	1.22790i
$199$	−9.94814	+	1.75412i	−0.705205	+	0.124347i	−0.514739	−	0.857347i	$-0.672111\pi$
$199$	−9.94814	+	1.75412i	−0.705205	+	0.124347i	−0.190466	+	0.981694i	$0.561000\pi$
$200$	−0.331571	−	4.98899i	−0.0234456	−	0.352775i
$201$	0.902767	−	14.7845i	0.0636763	−	1.04282i
$202$	6.44125	+	1.72593i	0.453205	+	0.121436i
$203$	−2.22279	+	25.4066i	−0.156009	+	1.78320i
$204$	−2.15284	+	2.26907i	−0.150729	+	0.158867i
$205$	5.75376	−	5.63472i	0.401860	−	0.393546i
$206$	4.14290	−	4.93732i	0.288650	−	0.343999i
$207$	−0.769151	+	22.1531i	−0.0534597	+	1.53975i
$208$	−0.120765	−	0.120765i	−0.00837355	−	0.00837355i
$209$	20.8299	+	17.2949i	1.44083	+	1.19632i
$210$	10.7223	+	10.3881i	0.739909	+	0.716848i
$211$	0.459303	−	2.60484i	0.0316197	−	0.179324i	−0.964908	−	0.262589i	$-0.915424\pi$
$211$	0.459303	−	2.60484i	0.0316197	−	0.179324i	0.996527	+	0.0832647i	$0.0265347\pi$
$212$	−0.547852	−	6.26198i	−0.0376266	−	0.430075i
$213$	4.89431	−	6.15425i	0.335352	−	0.421683i
$214$	1.51529	+	4.16322i	0.103583	+	0.284592i
$215$	10.3409	+	6.11531i	0.705243	+	0.417061i
$216$	−1.73599	−	4.89759i	−0.118119	−	0.333239i
$217$	1.98476	+	7.40723i	0.134734	+	0.502836i
$218$	−11.6988	−	8.19161i	−0.792344	−	0.554806i
$219$	−20.8650	+	15.4425i	−1.40992	+	1.04351i
$220$	−11.4595	+	7.84686i	−0.772602	+	0.529035i
$221$	0.267098	−	0.154209i	0.0179670	−	0.0103732i
$222$	12.7650	−	5.02973i	0.856728	−	0.337574i
$223$	21.1846	+	9.87853i	1.41862	+	0.661515i	0.972382	−	0.233397i	$-0.0749841\pi$
$223$	21.1846	+	9.87853i	1.41862	+	0.661515i	0.446242	+	0.894912i	$0.352762\pi$
$224$	3.62223	+	1.31839i	0.242021	+	0.0880883i
$225$	−9.27328	+	11.7901i	−0.618219	+	0.786006i
$226$	2.45107	−	13.9007i	0.163043	−	0.924661i
$227$	−10.2843	−	10.2843i	−0.682593	−	0.682593i	0.277991	−	0.960584i	$-0.410332\pi$
$227$	−10.2843	−	10.2843i	−0.682593	−	0.682593i	−0.960584	+	0.277991i	$0.910332\pi$
$228$	7.54610	−	0.237551i	0.499752	−	0.0157322i
$229$			0.885181i			0.0584944i	0.999572	+	0.0292472i	$0.00931100\pi$
$229$			0.885181i			0.0584944i	−0.999572	+	0.0292472i	$0.990689\pi$
$230$	9.61750	−	13.4342i	0.634159	−	0.885822i
$231$	9.67675	−	40.3244i	0.636683	−	2.65315i
$232$	−5.99637	+	2.79615i	−0.393681	+	0.183576i
$233$	−5.79336	+	12.4239i	−0.379535	+	0.813916i	0.620034	+	0.784575i	$0.287119\pi$
$233$	−5.79336	+	12.4239i	−0.379535	+	0.813916i	−0.999569	+	0.0293415i	$0.990659\pi$
$234$	0.0269177	+	0.511655i	0.00175967	+	0.0334479i
$235$	−4.75493	+	5.54790i	−0.310177	+	0.361905i
$236$	1.39732	+	0.806741i	0.0909576	+	0.0525144i
$237$	−4.57895	−	0.683859i	−0.297435	−	0.0444214i
$238$	−3.99270	+	5.70216i	−0.258808	+	0.369616i
$239$	10.9711	−	19.0025i	0.709660	−	1.22917i	−0.255323	−	0.966856i	$-0.582182\pi$
$239$	10.9711	−	19.0025i	0.709660	−	1.22917i	0.964983	−	0.262312i	$-0.0844850\pi$
$240$	−0.943064	+	3.75641i	−0.0608745	+	0.242475i
$241$	−5.12338	+	4.29903i	−0.330026	+	0.276925i	−0.792710	−	0.609598i	$-0.791331\pi$
$241$	−5.12338	+	4.29903i	−0.330026	+	0.276925i	0.462684	+	0.886523i	$0.346886\pi$
$242$	24.9949	+	11.6553i	1.60674	+	0.749233i
$243$	−5.95822	+	14.4048i	−0.382220	+	0.924071i
$244$	−4.38874	+	5.23030i	−0.280961	+	0.334836i
$245$	14.2885	+	10.2291i	0.912860	+	0.653515i
$246$	−5.58238	+	2.78397i	−0.355920	+	0.177500i
$247$	−0.720070	−	0.188943i	−0.0458169	−	0.0120221i
$248$	−1.40672	+	1.40672i	−0.0893266	+	0.0893266i
$249$	−6.04107	−	20.3868i	−0.382837	−	1.29196i
$250$	10.6208	−	3.49265i	0.671718	−	0.220895i
$251$	1.08580	−	2.98322i	0.0685354	−	0.188299i	−0.900697	−	0.434449i	$-0.856943\pi$
$251$	1.08580	−	2.98322i	0.0685354	−	0.188299i	0.969232	+	0.246149i	$0.0791654\pi$
$252$	−5.43107	−	10.2094i	−0.342125	−	0.643132i
$253$	−45.7187	−	3.99987i	−2.87431	−	0.251469i
$254$	−4.28788	−	7.42683i	−0.269046	−	0.466001i
$255$	−6.11163	−	3.40073i	−0.382725	−	0.212962i
$256$	0.173648	+	0.984808i	0.0108530	+	0.0615505i
$257$	17.5303	−	25.0358i	1.09351	−	1.56169i	0.299184	−	0.954196i	$-0.403286\pi$
$257$	17.5303	−	25.0358i	1.09351	−	1.56169i	0.794324	−	0.607495i	$-0.207825\pi$
$258$	−6.16694	−	6.96905i	−0.383937	−	0.433874i
$259$	26.4435	−	15.2672i	1.64312	−	0.948656i
$260$	0.194393	−	0.328715i	0.0120557	−	0.0203860i
$261$	18.9826	+	5.79941i	1.17500	+	0.358974i
$262$	−0.552689	+	0.257723i	−0.0341452	+	0.0159222i
$263$	2.03029	−	0.177627i	0.125193	−	0.0109530i	−0.0243870	−	0.999703i	$-0.507763\pi$
$263$	2.03029	−	0.177627i	0.125193	−	0.0109530i	0.149580	+	0.988750i	$0.452208\pi$
$264$	10.3148	−	3.05650i	0.634830	−	0.188115i
$265$	13.2576	−	4.66902i	0.814405	−	0.286816i
$266$	16.5316	−	3.00351i	1.01362	−	0.184157i
$267$	−10.3487	−	3.46148i	−0.633333	−	0.211839i
$268$	7.00516	−	4.90506i	0.427908	−	0.299624i
$269$	17.6386	+	14.8005i	1.07544	+	0.902403i	0.995534	−	0.0943990i	$-0.0300929\pi$
$269$	17.6386	+	14.8005i	1.07544	+	0.902403i	0.0799079	+	0.996802i	$0.474537\pi$
$270$	9.64179	−	6.48351i	0.586781	−	0.394574i
$271$	6.89457	−	2.50942i	0.418815	−	0.152436i	−0.124012	−	0.992281i	$-0.539576\pi$
$271$	6.89457	−	2.50942i	0.418815	−	0.152436i	0.542827	+	0.839844i	$0.317354\pi$
$272$	−1.79899	−	0.157391i	−0.109080	−	0.00954324i
$273$	0.227445	+	1.11736i	0.0137656	+	0.0676254i
$274$	4.75392	+	2.74467i	0.287195	+	0.165812i
$275$	−23.3678	−	20.4553i	−1.40913	−	1.23350i
$276$	−10.2868	+	7.61346i	−0.619195	+	0.458276i
$277$	5.71659	+	21.3346i	0.343477	+	1.28187i	0.894382	+	0.447305i	$0.147616\pi$
$277$	5.71659	+	21.3346i	0.343477	+	1.28187i	−0.550905	+	0.834568i	$0.685717\pi$
$278$	15.5113	+	4.15625i	0.930309	+	0.249276i
$279$	5.95995	−	0.313547i	0.356813	−	0.0187716i
$280$	−0.840930	+	8.57825i	−0.0502552	+	0.512649i
$281$	1.92582	−	5.29115i	0.114885	−	0.315643i	−0.868902	−	0.494984i	$-0.835174\pi$
$281$	1.92582	−	5.29115i	0.114885	−	0.315643i	0.983787	+	0.179340i	$0.0573963\pi$
$282$	4.82546	−	2.95771i	0.287352	−	0.176129i
$283$	−5.29303	+	3.70622i	−0.314638	+	0.220312i	−0.720218	−	0.693747i	$-0.755958\pi$
$283$	−5.29303	+	3.70622i	−0.314638	+	0.220312i	0.405580	+	0.914059i	$0.367069\pi$
$284$	4.53979			0.269387
$285$	4.71111	+	16.2113i	0.279062	+	0.960273i
$286$	−1.06079			−0.0627261
$287$	−11.3722	+	7.96290i	−0.671280	+	0.470035i
$288$	1.58925	−	2.54446i	0.0936473	−	0.149934i
$289$	−4.69897	+	12.9103i	−0.276410	+	0.759430i
$290$	−9.39069	−	11.4319i	−0.551440	−	0.671307i
$291$	−9.70447	+	22.3249i	−0.568886	+	1.30871i
$292$	−14.4762	−	3.87889i	−0.847156	−	0.226995i
$293$	3.34801	+	12.4950i	0.195593	+	0.729963i	0.992113	+	0.125350i	$0.0400055\pi$
$293$	3.34801	+	12.4950i	0.195593	+	0.729963i	−0.796519	+	0.604613i	$0.793328\pi$
$294$	−8.09764	−	10.9410i	−0.472264	−	0.638094i
$295$	−0.970154	+	3.47497i	−0.0564845	+	0.202321i
$296$	6.86007	+	3.96067i	0.398734	+	0.230209i
$297$	−29.1345	−	13.8857i	−1.69055	−	0.805728i
$298$	−13.0983	−	1.14595i	−0.758765	−	0.0663833i
$299$	1.18581	−	0.431601i	0.0685774	−	0.0249601i
$300$	−8.66013	+	0.0465638i	−0.499993	+	0.00268836i
$301$	−15.8650	−	13.3123i	−0.914442	−	0.767308i
$302$	−5.38215	+	3.76862i	−0.309708	+	0.216860i
$303$	3.66381	−	10.9536i	0.210480	−	0.629269i
$304$	2.81914	+	3.32453i	0.161689	+	0.190675i
$305$	−13.7685	−	6.59644i	−0.788384	−	0.377711i
$306$	3.69558	+	3.96143i	0.211262	+	0.226460i
$307$	26.0610	−	2.28004i	1.48738	−	0.130129i	0.685700	−	0.727885i	$-0.259496\pi$
$307$	26.0610	−	2.28004i	1.48738	−	0.130129i	0.801678	+	0.597756i	$0.203941\pi$
$308$	21.6991	−	10.1184i	1.23642	−	0.576552i
$309$	−8.09844	−	7.68359i	−0.460704	−	0.437104i
$310$	−3.82899	−	2.26436i	−0.217472	−	0.128607i
$311$	−9.19721	+	5.31001i	−0.521526	+	0.301103i	−0.737559	−	0.675283i	$-0.764022\pi$
$311$	−9.19721	+	5.31001i	−0.521526	+	0.301103i	0.216033	+	0.976386i	$0.430688\pi$
$312$	−0.221531	+	0.196034i	−0.0125417	+	0.0110982i
$313$	−18.7832	+	26.8251i	−1.06169	+	1.51625i	−0.220586	+	0.975368i	$0.570797\pi$
$313$	−18.7832	+	26.8251i	−1.06169	+	1.51625i	−0.841101	+	0.540878i	$0.818092\pi$
$314$	1.52051	+	8.62323i	0.0858072	+	0.486637i
$315$	19.0912	−	17.4404i	1.07567	−	0.982656i
$316$	−1.33649	−	2.31487i	−0.0751835	−	0.130222i
$317$	−18.7384	−	1.63939i	−1.05245	−	0.0920776i	−0.452222	−	0.891905i	$-0.649368\pi$
$317$	−18.7384	−	1.63939i	−1.05245	−	0.0920776i	−0.600229	+	0.799828i	$0.704924\pi$
$318$	−10.8837	+	0.286094i	−0.610330	+	0.0160433i
$319$	−14.0553	+	38.6165i	−0.786943	+	2.16211i
$320$	−2.03633	+	0.923771i	−0.113834	+	0.0516404i
$321$	7.35747	−	2.18018i	0.410654	−	0.121686i
$322$	−20.1396	+	20.1396i	−1.12233	+	1.12233i
$323$	−7.11670	+	3.36364i	−0.395984	+	0.187158i
$324$	−8.65036	+	2.48421i	−0.480575	+	0.138012i
$325$	0.820041	+	0.238208i	0.0454877	+	0.0132134i
$326$	−11.5280	+	13.7386i	−0.638478	+	0.760908i
$327$	−15.3969	+	19.3605i	−0.851450	+	1.07064i
$328$	−3.26411	−	1.52208i	−0.180231	−	0.0840429i
$329$	9.64902	−	8.09649i	0.531968	−	0.446374i
$330$	12.3562	+	20.6400i	0.680184	+	1.13619i
$331$	6.78745	−	11.7562i	0.373072	−	0.646180i	−0.616964	−	0.786991i	$-0.711638\pi$
$331$	6.78745	−	11.7562i	0.373072	−	0.646180i	0.990036	+	0.140811i	$0.0449711\pi$
$332$	7.04134	−	10.0561i	0.386444	−	0.551899i
$333$	−7.34801	−	22.5994i	−0.402669	−	1.23844i
$334$	2.06099	+	1.18991i	0.112772	+	0.0651090i
$335$	14.5192	+	12.4440i	0.793269	+	0.679886i
$336$	2.66165	−	6.12305i	0.145205	−	0.334040i
$337$	7.64443	−	16.3935i	0.416418	−	0.893012i	−0.580477	−	0.814277i	$-0.697134\pi$
$337$	7.64443	−	16.3935i	0.416418	−	0.893012i	0.996896	−	0.0787356i	$-0.0250883\pi$
$338$	−11.7556	+	5.48171i	−0.639418	+	0.298166i
$339$	−23.7732	−	5.70492i	−1.29118	−	0.309849i
$340$	−0.659595	−	3.98379i	−0.0357716	−	0.216051i
$341$			12.3565i			0.669143i
$342$	0.385924	−	13.0710i	0.0208684	−	0.706799i
$343$	−2.34058	−	2.34058i	−0.126379	−	0.126379i
$344$	0.932965	−	5.29111i	0.0503021	−	0.285277i
$345$	−22.2101	−	18.0452i	−1.19575	−	0.971522i
$346$	−1.03424	−	0.376434i	−0.0556013	−	0.0202372i
$347$	−8.35055	−	3.89392i	−0.448281	−	0.209037i	0.185350	−	0.982673i	$-0.440658\pi$
$347$	−8.35055	−	3.89392i	−0.448281	−	0.209037i	−0.633630	+	0.773636i	$0.718436\pi$
$348$	4.20106	+	10.6619i	0.225201	+	0.571537i
$349$	−7.08477	+	4.09039i	−0.379239	+	0.218954i	−0.677487	−	0.735535i	$-0.736931\pi$
$349$	−7.08477	+	4.09039i	−0.379239	+	0.218954i	0.298248	+	0.954488i	$0.403598\pi$
$350$	−19.0465	+	2.94934i	−1.01808	+	0.157649i
$351$	0.887407	+	0.00747705i	0.0473663	+	0.000399095i
$352$	5.08791	+	3.56259i	0.271186	+	0.189887i
$353$	−1.25393	−	4.67972i	−0.0667398	−	0.249076i	0.924494	−	0.381197i	$-0.124488\pi$
$353$	−1.25393	−	4.67972i	−0.0667398	−	0.249076i	−0.991234	+	0.132121i	$0.957821\pi$
$354$	1.54223	−	2.33056i	0.0819685	−	0.123868i
$355$	2.52472	+	9.83231i	0.133998	+	0.521845i
$356$	−2.15480	−	5.92027i	−0.114204	−	0.313774i
$357$	9.43658	+	7.50465i	0.499437	+	0.397188i
$358$	1.17427	+	13.4220i	0.0620622	+	0.709375i
$359$	1.82848	−	10.3698i	0.0965032	−	0.547297i	−0.897773	−	0.440458i	$-0.854816\pi$
$359$	1.82848	−	10.3698i	0.0965032	−	0.547297i	0.994276	−	0.106839i	$-0.0340729\pi$
$360$	6.39465	+	2.02695i	0.337027	+	0.106829i
$361$	17.9206	+	6.31274i	0.943192	+	0.332249i
$362$	5.67662	+	5.67662i	0.298357	+	0.298357i
$363$	22.7887	−	41.9816i	1.19610	−	2.20346i
$364$	−0.423169	+	0.504314i	−0.0221801	+	0.0264332i
$365$	0.350250	−	33.5098i	0.0183329	−	1.75398i
$366$	8.57901	+	8.13954i	0.448432	+	0.425460i
$367$	0.0395385	−	0.451928i	0.00206390	−	0.0235904i	−0.995093	−	0.0989448i	$-0.968453\pi$
$367$	0.0395385	−	0.451928i	0.00206390	−	0.0235904i	0.997157	+	0.0753544i	$0.0240088\pi$
$368$	−7.13705	−	1.91237i	−0.372044	−	0.0996890i
$369$	4.22371	+	9.94489i	0.219878	+	0.517710i
$370$	−4.76293	+	17.0602i	−0.247613	+	0.886920i
$371$	−23.8621	+	4.20754i	−1.23886	+	0.218445i
$372$	2.28347	+	2.58048i	0.118393	+	0.133791i
$373$	1.35542	−	5.05851i	0.0701811	−	0.261920i	−0.921916	−	0.387389i	$-0.873377\pi$
$373$	1.35542	−	5.05851i	0.0701811	−	0.261920i	0.992097	+	0.125469i	$0.0400437\pi$
$374$	−8.59237	+	7.20986i	−0.444301	+	0.372813i
$375$	−4.91702	−	18.7303i	−0.253914	−	0.967227i
$376$	3.07061	+	1.11761i	0.158355	+	0.0576364i
$377$	−0.0984838	−	1.12567i	−0.00507217	−	0.0579752i
$378$	−18.2237	+	8.31163i	−0.937324	+	0.427504i
$379$		−	35.1801i		−	1.80708i	−0.428502	−	0.903541i	$-0.640959\pi$
$379$		−	35.1801i		−	1.80708i	0.428502	−	0.903541i	$-0.359041\pi$
$380$	−5.63247	+	7.95458i	−0.288940	+	0.408061i
$381$	−13.2924	+	6.62900i	−0.680990	+	0.339614i
$382$	−5.04846	−	7.20994i	−0.258301	−	0.368893i
$383$	−14.2664	+	1.24815i	−0.728981	+	0.0637776i	−0.445603	−	0.895231i	$-0.647011\pi$
$383$	−14.2664	+	1.24815i	−0.728981	+	0.0637776i	−0.283378	+	0.959008i	$0.591455\pi$
$384$	1.72090	−	0.196246i	0.0878192	−	0.0100147i
$385$	33.9821	+	41.3688i	1.73189	+	2.10835i
$386$	−11.6023	−	13.8271i	−0.590540	−	0.703778i
$387$	−12.6993	+	9.92590i	−0.645543	+	0.504562i
$388$	−13.5755	+	3.63754i	−0.689191	+	0.184668i
$389$	3.68583	+	20.9034i	0.186879	+	1.05984i	0.923518	+	0.383556i	$0.125301\pi$
$389$	3.68583	+	20.9034i	0.186879	+	1.05984i	−0.736639	+	0.676286i	$0.763588\pi$
$390$	−0.547771	−	0.370773i	−0.0277375	−	0.0187748i
$391$	6.67159	−	11.5555i	0.337397	−	0.584388i
$392$	2.03398	−	7.59093i	0.102732	−	0.383400i
$393$	0.387215	+	0.982712i	0.0195324	+	0.0495713i
$394$	1.41347	+	3.88347i	0.0712095	+	0.195647i
$395$	4.27030	−	4.18195i	0.214862	−	0.210417i
$396$	−4.19529	−	18.1551i	−0.210821	−	0.912330i
$397$	5.78962	+	8.26843i	0.290572	+	0.414980i	0.937724	−	0.347381i	$-0.112929\pi$
$397$	5.78962	+	8.26843i	0.290572	+	0.414980i	−0.647152	+	0.762361i	$0.724040\pi$
$398$	−7.14291	+	7.14291i	−0.358042	+	0.358042i
$399$	−3.44738	−	28.8974i	−0.172585	−	1.44668i
$400$	−3.13318	−	3.89656i	−0.156659	−	0.194828i
$401$	28.6872	+	5.05833i	1.43257	+	0.252601i	0.835458	−	0.549555i	$-0.185203\pi$
$401$	28.6872	+	5.05833i	1.43257	+	0.252601i	0.597115	+	0.802156i	$0.296314\pi$
$402$	−7.74052	−	12.6285i	−0.386062	−	0.629854i
$403$	−0.143591	−	0.307931i	−0.00715276	−	0.0153391i
$404$	6.26631	−	2.28075i	0.311761	−	0.113472i
$405$	−10.1911	−	17.3535i	−0.506397	−	0.862300i
$406$	12.7518	+	22.0868i	0.632863	+	1.09615i
$407$	47.5244	−	12.7341i	2.35570	−	0.631207i
$408$	−0.462014	+	3.09353i	−0.0228731	+	0.153153i
$409$	−30.1159	+	5.31025i	−1.48914	+	0.262575i	−0.858223	−	0.513277i	$-0.828431\pi$
$409$	−30.1159	+	5.31025i	−1.48914	+	0.262575i	−0.630915	+	0.775852i	$0.717320\pi$
$410$	1.48126	−	7.91592i	0.0731541	−	0.390939i
$411$	5.24693	−	7.92897i	0.258812	−	0.391107i
$412$	0.561737	−	6.42068i	0.0276748	−	0.316324i
$413$	2.62847	−	5.63677i	0.129339	−	0.277367i
$414$	12.0764	+	18.5879i	0.593525	+	0.913546i
$415$	25.6954	+	9.65768i	1.26134	+	0.474077i
$416$	−0.168193	−	0.0296569i	−0.00824634	−	0.00145405i
$417$	8.82292	−	26.3777i	0.432060	−	1.29172i
$418$	26.9828	+	2.21966i	1.31977	+	0.108567i
$419$	−19.8165			−0.968097			−0.484049	−	0.875041i	$-0.660834\pi$
$419$	−19.8165			−0.968097			−0.484049	+	0.875041i	$0.660834\pi$
$420$	14.7416	+	2.35939i	0.719315	+	0.115127i
$421$	−17.2290	−	14.4568i	−0.839690	−	0.704583i	0.117804	−	0.993037i	$-0.462415\pi$
$421$	−17.2290	−	14.4568i	−0.839690	−	0.704583i	−0.957494	+	0.288453i	$0.906859\pi$
$422$	−1.11783	−	2.39720i	−0.0544153	−	0.116694i
$423$	−4.60398	−	8.65463i	−0.223853	−	0.420803i
$424$	−4.04050	−	4.81528i	−0.196224	−	0.233851i
$425$	8.26130	−	3.64407i	0.400732	−	0.176763i
$426$	0.479246	−	7.84853i	0.0232195	−	0.380262i
$427$	21.5590	+	15.0958i	1.04331	+	0.730535i
$428$	3.62918	+	2.54118i	0.175423	+	0.122832i
$429$	−0.111983	+	1.83393i	−0.00540661	+	0.0885431i
$430$	11.9784	−	0.921928i	0.577648	−	0.0444593i
$431$	−15.7255	−	18.7409i	−0.757470	−	0.902718i	0.240215	−	0.970720i	$-0.422782\pi$
$431$	−15.7255	−	18.7409i	−0.757470	−	0.902718i	−0.997685	+	0.0680021i	$0.978338\pi$
$432$	−4.23118	−	3.01615i	−0.203573	−	0.145114i
$433$	10.3890	+	22.2793i	0.499264	+	1.07068i	0.980937	+	0.194324i	$0.0622514\pi$
$433$	10.3890	+	22.2793i	0.499264	+	1.07068i	−0.481673	+	0.876351i	$0.659971\pi$
$434$	5.87443	+	4.92924i	0.281982	+	0.236611i
$435$	−20.7552	+	15.0281i	−0.995137	+	0.720542i
$436$	−14.2816			−0.683966
$437$	−31.0660	+	8.49713i	−1.48609	+	0.406473i
$438$	−8.23413	+	24.6174i	−0.393442	+	1.17627i
$439$	15.6147	+	2.75329i	0.745247	+	0.131407i	0.533362	−	0.845887i	$-0.320928\pi$
$439$	15.6147	+	2.75329i	0.745247	+	0.131407i	0.211886	+	0.977294i	$0.432040\pi$
$440$	−4.88634	+	13.0007i	−0.232947	+	0.619784i
$441$	−19.7700	+	12.8445i	−0.941430	+	0.611641i
$442$	0.130343	−	0.279522i	0.00619980	−	0.0132955i
$443$	3.00830	−	34.3850i	0.142929	−	1.63368i	−0.498778	−	0.866730i	$-0.666218\pi$
$443$	3.00830	−	34.3850i	0.142929	−	1.63368i	0.641706	−	0.766951i	$-0.278227\pi$
$444$	7.57151	−	11.4418i	0.359328	−	0.543004i
$445$	11.6238	−	7.95933i	0.551021	−	0.377308i
$446$	23.0195	−	4.05896i	1.09000	−	0.192197i
$447$	−3.36389	+	22.5238i	−0.159107	+	1.06534i
$448$	3.72335	−	0.997670i	0.175912	−	0.0471355i
$449$	13.7522	+	23.8196i	0.649008	+	1.12411i	0.983360	+	0.181667i	$0.0581491\pi$
$449$	13.7522	+	23.8196i	0.649008	+	1.12411i	−0.334352	+	0.942448i	$0.608518\pi$
$450$	−0.833711	+	14.9768i	−0.0393015	+	0.706014i
$451$	−21.0208	+	7.65096i	−0.989833	+	0.360270i
$452$	−5.96532	−	12.7927i	−0.280585	−	0.601716i
$453$	5.94714	+	9.70266i	0.279421	+	0.455871i
$454$	−14.3232	−	2.52557i	−0.672223	−	0.118531i
$455$	−1.32758	−	0.636039i	−0.0622381	−	0.0298179i
$456$	6.04515	−	4.52285i	0.283090	−	0.211802i
$457$	−14.0461	+	14.0461i	−0.657048	+	0.657048i	−0.954681	−	0.297633i	$-0.903803\pi$
$457$	−14.0461	+	14.0461i	−0.657048	+	0.657048i	0.297633	+	0.954681i	$0.403803\pi$
$458$	0.507719	+	0.725098i	0.0237242	+	0.0338816i
$459$	7.23876	−	5.97084i	0.337877	−	0.278695i
$460$	0.172680	−	16.5210i	0.00805125	−	0.770295i
$461$	12.2137	+	33.5568i	0.568847	+	1.56289i	0.806307	+	0.591497i	$0.201463\pi$
$461$	12.2137	+	33.5568i	0.568847	+	1.56289i	−0.237460	+	0.971397i	$0.576315\pi$
$462$	−15.2024	−	38.5822i	−0.707279	−	1.79501i
$463$	−1.57582	+	5.88103i	−0.0732344	+	0.273315i	−0.992827	−	0.119558i	$-0.961852\pi$
$463$	−1.57582	+	5.88103i	−0.0732344	+	0.273315i	0.919593	+	0.392873i	$0.128519\pi$
$464$	−3.30813	+	5.72985i	−0.153576	+	0.266001i
$465$	−4.31890	+	6.38065i	−0.200284	+	0.295895i
$466$	2.38041	+	13.5000i	0.110271	+	0.625375i
$467$	−20.5553	+	5.50776i	−0.951184	+	0.254869i	−0.700865	−	0.713294i	$-0.747202\pi$
$467$	−20.5553	+	5.50776i	−0.951184	+	0.254869i	−0.250319	+	0.968163i	$0.580536\pi$
$468$	0.315523	+	0.403684i	0.0145851	+	0.0186603i
$469$	−21.1890	−	25.2521i	−0.978419	−	1.16603i
$470$	−0.712866	+	7.27189i	−0.0328821	+	0.335427i
$471$	15.0686	−	1.71838i	0.694325	−	0.0791790i
$472$	1.60734	−	0.140624i	0.0739839	−	0.00647275i
$473$	−19.1408	−	27.3360i	−0.880097	−	1.25691i
$474$	−4.14311	+	2.06620i	−0.190299	+	0.0949035i
$475$	−20.3605	−	7.77505i	−0.934202	−	0.356744i
$476$			6.96105i			0.319059i
$477$	−0.654341	+	18.8463i	−0.0299602	+	0.862915i
$478$	−1.91239	−	21.8587i	−0.0874705	−	0.999792i
$479$	33.1324	+	12.0592i	1.51386	+	0.550999i	0.959605	−	0.281351i	$-0.0907824\pi$
$479$	33.1324	+	12.0592i	1.51386	+	0.550999i	0.554251	+	0.832349i	$0.313005\pi$
$480$	1.38208	+	3.61799i	0.0630829	+	0.165138i
$481$	−1.03635	+	0.869605i	−0.0472537	+	0.0396506i
$482$	−1.73101	+	6.46021i	−0.0788452	+	0.294254i
$483$	32.6919	+	36.9440i	1.48753	+	1.68101i
$484$	27.1599	−	4.78902i	1.23454	−	0.217683i
$485$	−15.4280	−	27.3789i	−0.700548	−	1.24321i
$486$	3.38160	+	15.2173i	0.153392	+	0.690269i
$487$	18.0578	+	4.83858i	0.818278	+	0.219257i	0.643593	−	0.765368i	$-0.277443\pi$
$487$	18.0578	+	4.83858i	0.818278	+	0.219257i	0.174685	+	0.984624i	$0.444109\pi$
$488$	−0.595071	+	6.80169i	−0.0269376	+	0.307898i
$489$	22.5347	+	21.3803i	1.01905	+	0.966851i
$490$	17.5717	+	0.183662i	0.793806	+	0.00829699i
$491$	−8.29760	+	9.88870i	−0.374466	+	0.446271i	−0.920059	−	0.391779i	$-0.871860\pi$
$491$	−8.29760	+	9.88870i	−0.374466	+	0.446271i	0.545594	+	0.838050i	$0.316304\pi$
$492$	−2.97600	+	5.48242i	−0.134168	+	0.247167i
$493$	−8.44854	−	8.44854i	−0.380503	−	0.380503i
$494$	−0.698219	+	0.258242i	−0.0314144	+	0.0116189i
$495$	36.9874	−	19.1828i	1.66246	−	0.862204i
$496$	−0.345455	+	1.95917i	−0.0155114	+	0.0879695i
$497$	−1.52518	−	17.4329i	−0.0684139	−	0.781974i
$498$	−16.6419	−	13.2349i	−0.745743	−	0.593068i
$499$	−3.49017	−	9.58915i	−0.156241	−	0.429269i	0.836731	−	0.547614i	$-0.184464\pi$
$499$	−3.49017	−	9.58915i	−0.156241	−	0.429269i	−0.992973	+	0.118344i	$0.962241\pi$
$500$	6.69675	−	8.95285i	0.299488	−	0.400384i
$501$	2.27472	−	3.43748i	0.101627	−	0.153575i
$502$	−0.821668	−	3.06651i	−0.0366728	−	0.136865i
$503$	24.5517	+	17.1913i	1.09471	+	0.766523i	0.974086	−	0.226176i	$-0.0726224\pi$
$503$	24.5517	+	17.1913i	1.09471	+	0.766523i	0.120621	+	0.992699i	$0.461511\pi$
$504$	−10.3047	−	5.24792i	−0.459010	−	0.233761i
$505$	8.42456	+	12.3032i	0.374888	+	0.547486i
$506$	−39.7448	+	22.9467i	−1.76687	+	1.02010i
$507$	8.23597	+	20.9021i	0.365772	+	0.928293i
$508$	−7.77228	−	3.62427i	−0.344839	−	0.160801i
$509$	5.22986	+	1.90351i	0.231809	+	0.0843718i	0.455313	−	0.890331i	$-0.349527\pi$
$509$	5.22986	+	1.90351i	0.231809	+	0.0843718i	−0.223504	+	0.974703i	$0.571749\pi$
$510$	−6.95693	+	0.719777i	−0.308058	+	0.0318723i
$511$	−10.0316	+	56.8922i	−0.443773	+	2.51676i
$512$	0.707107	+	0.707107i	0.0312500	+	0.0312500i
$513$	−22.5568	−	2.04705i	−0.995907	−	0.0903793i
$514$		−	30.5631i		−	1.34808i
$515$	14.2184	−	2.35413i	0.626536	−	0.103735i
$516$	−9.04894	−	2.17150i	−0.398357	−	0.0955949i
$517$	18.3946	−	8.57752i	0.808992	−	0.377239i
$518$	12.9044	−	27.6735i	0.566986	−	1.21590i
$519$	−0.759972	+	1.74830i	−0.0333591	+	0.0767416i
$520$	−0.0293061	−	0.380766i	−0.00128516	−	0.0166977i
$521$	1.21902	+	0.703804i	0.0534064	+	0.0308342i	0.526465	−	0.850197i	$-0.323517\pi$
$521$	1.21902	+	0.703804i	0.0534064	+	0.0308342i	−0.473059	+	0.881031i	$0.656850\pi$
$522$	18.8761	−	6.13740i	0.826183	−	0.268627i
$523$	23.0683	−	32.9449i	1.00870	−	1.44058i	0.114234	−	0.993454i	$-0.463559\pi$
$523$	23.0683	−	32.9449i	1.00870	−	1.44058i	0.894471	−	0.447126i	$-0.147552\pi$
$524$	−0.304912	+	0.528124i	−0.0133202	+	0.0230712i
$525$	3.08826	+	33.2395i	0.134783	+	1.45069i
$526$	1.56123	−	1.31003i	0.0680730	−	0.0571201i
$527$	−3.25598	−	1.51829i	−0.141833	−	0.0661377i
$528$	6.69623	−	8.42004i	0.291416	−	0.366435i
$529$	20.3086	−	24.2029i	0.882983	−	1.05230i
$530$	8.18191	−	11.4289i	0.355400	−	0.496438i
$531$	−3.86634	−	2.91228i	−0.167785	−	0.126382i
$532$	11.8192	−	11.9425i	0.512426	−	0.517772i
$533$	0.434941	−	0.434941i	0.0188394	−	0.0188394i
$534$	−10.4626	+	3.10031i	−0.452762	+	0.134164i
$535$	−3.48540	+	9.27332i	−0.150687	+	0.400921i
$536$	2.92486	−	8.03598i	0.126335	−	0.347102i
$537$	23.3283	−	0.613217i	1.00669	−	0.0264623i
$538$	22.9379	+	2.00681i	0.988923	+	0.0865195i
$539$	−24.4060	−	42.2724i	−1.05124	−	1.82080i
$540$	4.17930	−	10.8413i	0.179849	−	0.466535i
$541$	−3.87507	−	21.9766i	−0.166602	−	0.944849i	−0.947397	−	0.320061i	$-0.896296\pi$
$541$	−3.87507	−	21.9766i	−0.166602	−	0.944849i	0.780794	−	0.624788i	$-0.214815\pi$
$542$	4.20836	−	6.01016i	0.180765	−	0.258158i
$543$	10.4132	−	9.21466i	0.446872	−	0.395439i
$544$	−1.56392	+	0.902931i	−0.0670526	+	0.0387128i
$545$	−7.94246	−	30.9312i	−0.340218	−	1.32495i
$546$	0.827201	+	0.784827i	0.0354009	+	0.0335875i
$547$	−1.75433	+	0.818057i	−0.0750097	+	0.0349776i	−0.459761	−	0.888043i	$-0.652065\pi$
$547$	−1.75433	+	0.818057i	−0.0750097	+	0.0349776i	0.384751	+	0.923020i	$0.374287\pi$
$548$	5.46846	−	0.478428i	0.233601	−	0.0204374i
$549$	14.9775	−	13.9724i	0.639225	−	0.596327i
$550$	−30.8744	−	3.35278i	−1.31649	−	0.142963i
$551$	0.149655	+	28.8392i	0.00637550	+	1.22859i
$552$	−4.05958	+	12.1369i	−0.172787	+	0.516579i
$553$	−8.44017	+	5.90987i	−0.358912	+	0.251313i
$554$	16.9198	+	14.1974i	0.718853	+	0.603190i
$555$	28.9915	+	10.0353i	1.23062	+	0.425974i
$556$	15.0901	−	5.49234i	0.639962	−	0.232927i
$557$	5.55741	+	0.486210i	0.235475	+	0.0206014i	0.204282	−	0.978912i	$-0.434514\pi$
$557$	5.55741	+	0.486210i	0.235475	+	0.0206014i	0.0311926	+	0.999513i	$0.490069\pi$
$558$	4.70226	−	3.67533i	0.199063	−	0.155589i
$559$	0.794661	+	0.458798i	0.0336106	+	0.0194051i
$560$	4.23143	+	7.50923i	0.178811	+	0.317323i
$561$	11.5576	+	15.6159i	0.487961	+	0.659303i
$562$	−1.45734	−	5.43886i	−0.0614741	−	0.229424i
$563$	21.7669	+	5.83241i	0.917364	+	0.245807i	0.686458	−	0.727169i	$-0.259164\pi$
$563$	21.7669	+	5.83241i	0.917364	+	0.245807i	0.230906	+	0.972976i	$0.425831\pi$
$564$	2.25631	−	5.19058i	0.0950078	−	0.218563i
$565$	24.3889	−	20.0341i	1.02605	−	0.842842i
$566$	−2.21000	+	6.07192i	−0.0928931	+	0.255222i
$567$	12.4456	+	32.3831i	0.522667	+	1.35996i
$568$	3.71878	−	2.60392i	0.156036	−	0.109258i
$569$	−18.7453			−0.785845			−0.392923	−	0.919571i	$-0.628536\pi$
$569$	−18.7453			−0.785845			−0.392923	+	0.919571i	$0.628536\pi$
$570$	13.1575	+	10.5773i	0.551108	+	0.443035i
$571$	−15.0821			−0.631164			−0.315582	−	0.948898i	$-0.602200\pi$
$571$	−15.0821			−0.631164			−0.315582	+	0.948898i	$0.602200\pi$
$572$	−0.868951	+	0.608446i	−0.0363327	+	0.0254404i
$573$	−12.9977	+	7.96680i	−0.542987	+	0.332818i
$574$	−4.74823	+	13.0457i	−0.198187	+	0.544515i
$575$	35.8773	−	8.81385i	1.49619	−	0.367563i
$576$	−0.157609	−	2.99586i	−0.00656705	−	0.124827i
$577$	23.1689	+	6.20810i	0.964536	+	0.258447i	0.706519	−	0.707694i	$-0.250264\pi$
$577$	23.1689	+	6.20810i	0.964536	+	0.258447i	0.258017	+	0.966140i	$0.416931\pi$
$578$	3.55588	+	13.2707i	0.147905	+	0.551989i
$579$	−25.1294	+	18.5987i	−1.04434	+	0.772936i
$580$	−14.2495	−	3.97822i	−0.591678	−	0.165187i
$581$	−40.9812	−	23.6605i	−1.70019	−	0.981604i
$582$	4.85559	+	23.8537i	0.201271	+	0.988769i
$583$	−38.8943	−	3.40281i	−1.61084	−	0.140930i
$584$	−14.0830	+	5.12581i	−0.582761	+	0.212108i
$585$	−0.698829	+	0.907863i	−0.0288930	+	0.0375355i
$586$	9.90935	+	8.31493i	0.409351	+	0.343487i
$587$	11.4462	−	8.01473i	0.472436	−	0.330803i	−0.312993	−	0.949756i	$-0.601332\pi$
$587$	11.4462	−	8.01473i	0.472436	−	0.330803i	0.785429	+	0.618952i	$0.212443\pi$
$588$	−12.9087	−	4.31776i	−0.532347	−	0.178061i
$589$	3.00810	+	8.13312i	0.123947	+	0.335119i
$590$	1.19846	+	3.40299i	0.0493397	+	0.140099i
$591$	6.86308	−	2.03369i	0.282309	−	0.0836547i
$592$	7.89119	−	0.690389i	0.324326	−	0.0283748i
$593$	3.81631	−	1.77958i	0.156717	−	0.0730784i	−0.342677	−	0.939453i	$-0.611334\pi$
$593$	3.81631	−	1.77958i	0.156717	−	0.0730784i	0.499394	+	0.866375i	$0.333556\pi$
$594$	−31.8301	+	5.33638i	−1.30600	+	0.218954i
$595$	−15.0763	+	3.87126i	−0.618068	+	0.158706i
$596$	−11.3868	+	6.57417i	−0.466422	+	0.269289i
$597$	11.5948	+	13.1029i	0.474545	+	0.536267i
$598$	0.723806	−	1.03370i	0.0295986	−	0.0422712i
$599$	2.85741	+	16.2052i	0.116751	+	0.662126i	0.985869	+	0.167521i	$0.0535762\pi$
$599$	2.85741	+	16.2052i	0.116751	+	0.662126i	−0.869118	+	0.494605i	$0.835313\pi$
$600$	−7.06725	+	5.00539i	−0.288519	+	0.204344i
$601$	0.487378	+	0.844164i	0.0198806	+	0.0344342i	0.875795	−	0.482684i	$-0.160338\pi$
$601$	0.487378	+	0.844164i	0.0198806	+	0.0344342i	−0.855914	+	0.517118i	$0.827005\pi$
$602$	−20.6315	−	1.80502i	−0.840875	−	0.0735671i
$603$	−22.6497	+	12.0489i	−0.922368	+	0.490670i
$604$	−2.24721	+	6.17415i	−0.0914375	+	0.251223i
$605$	25.4765	+	56.1597i	1.03577	+	2.28322i
$606$	−3.28153	−	11.0742i	−0.133303	−	0.449857i
$607$	22.7741	−	22.7741i	0.924373	−	0.924373i	−0.0729620	−	0.997335i	$-0.523245\pi$
$607$	22.7741	−	22.7741i	0.924373	−	0.924373i	0.997335	+	0.0729620i	$0.0232452\pi$
$608$	4.21617	+	1.10630i	0.170988	+	0.0448665i
$609$	39.5306	−	19.7142i	1.60186	−	0.798858i
$610$	−15.0621	+	2.49383i	−0.609846	+	0.100972i
$611$	−0.358726	+	0.427513i	−0.0145125	+	0.0172953i
$612$	5.29942	+	1.12532i	0.214216	+	0.0454882i
$613$	9.18896	+	4.28488i	0.371139	+	0.173065i	0.599234	−	0.800574i	$-0.295472\pi$
$613$	9.18896	+	4.28488i	0.371139	+	0.173065i	−0.228095	+	0.973639i	$0.573250\pi$
$614$	20.0401	−	16.8157i	0.808753	−	0.678625i
$615$	−13.5289	−	3.39649i	−0.545538	−	0.136960i
$616$	11.9711	−	20.7346i	0.482331	−	0.835421i
$617$	11.4266	−	16.3189i	0.460019	−	0.656976i	−0.520394	−	0.853926i	$-0.674215\pi$
$617$	11.4266	−	16.3189i	0.460019	−	0.656976i	0.980413	+	0.196950i	$0.0631038\pi$
$618$	−11.0410	−	1.64895i	−0.444133	−	0.0663306i
$619$	−2.50509	−	1.44631i	−0.100688	−	0.0581322i	0.448810	−	0.893627i	$-0.351848\pi$
$619$	−2.50509	−	1.44631i	−0.100688	−	0.0581322i	−0.549498	+	0.835495i	$0.685181\pi$
$620$	−4.43531	+	0.341369i	−0.178126	+	0.0137097i
$621$	33.4102	−	18.9159i	1.34071	−	0.759068i
$622$	−4.48822	+	9.62501i	−0.179961	+	0.385928i
$623$	−22.0101	+	10.2635i	−0.881816	+	0.411197i
$624$	−0.0690272	+	0.287646i	−0.00276330	+	0.0115151i
$625$	23.1144	+	9.52489i	0.924577	+	0.380996i
$626$			32.7474i			1.30885i
$627$	6.68587	−	46.4144i	0.267008	−	1.85361i
$628$	6.19161	+	6.19161i	0.247072	+	0.247072i
$629$	−2.48401	+	14.0875i	−0.0990438	+	0.561705i
$630$	5.63520	−	25.2366i	0.224512	−	1.00545i
$631$	−30.4987	−	11.1006i	−1.21414	−	0.441909i	−0.345999	−	0.938235i	$-0.612460\pi$
$631$	−30.4987	−	11.1006i	−1.21414	−	0.441909i	−0.868137	+	0.496325i	$0.834682\pi$
$632$	−2.42254	−	1.12965i	−0.0963636	−	0.0449351i
$633$	−4.26237	+	1.67948i	−0.169414	+	0.0667535i
$634$	−16.2899	+	9.40497i	−0.646954	+	0.373519i
$635$	3.52707	−	18.8488i	0.139967	−	0.747993i
$636$	−8.75134	+	6.47701i	−0.347013	+	0.256830i
$637$	1.09944	+	0.769837i	0.0435615	+	0.0305021i
$638$	10.6361	+	39.6946i	0.421088	+	1.57152i
$639$	−13.5182	−	1.65707i	−0.534771	−	0.0655527i
$640$	−1.13821	+	1.92470i	−0.0449918	+	0.0760805i
$641$	−10.0191	−	27.5272i	−0.395729	−	1.08726i	−0.964344	−	0.264653i	$-0.914743\pi$
$641$	−10.0191	−	27.5272i	−0.395729	−	1.08726i	0.568614	−	0.822604i	$-0.307480\pi$
$642$	4.77638	−	6.00597i	0.188509	−	0.237037i
$643$	−1.93270	−	22.0909i	−0.0762183	−	0.871179i	−0.934025	−	0.357207i	$-0.883729\pi$
$643$	−1.93270	−	22.0909i	−0.0762183	−	0.871179i	0.857807	−	0.513972i	$-0.171827\pi$
$644$	−4.94579	+	28.0490i	−0.194891	+	1.10528i
$645$	−0.329354	−	20.8059i	−0.0129683	−	0.819231i
$646$	−3.90036	+	6.83731i	−0.153457	+	0.269010i
$647$	−12.6179	−	12.6179i	−0.496060	−	0.496060i	0.414149	−	0.910209i	$-0.364079\pi$
$647$	−12.6179	−	12.6179i	−0.496060	−	0.496060i	−0.910209	+	0.414149i	$0.864079\pi$
$648$	−5.66107	+	6.99659i	−0.222388	+	0.274852i
$649$	6.44179	−	7.67702i	0.252862	−	0.301350i
$650$	0.808368	−	0.275228i	0.0317068	−	0.0107953i
$651$	9.14195	−	9.63555i	0.358301	−	0.377647i
$652$	−1.56309	+	17.8662i	−0.0612152	+	0.699693i
$653$	32.5066	+	8.71012i	1.27208	+	0.340853i	0.830828	−	0.556529i	$-0.187867\pi$
$653$	32.5066	+	8.71012i	1.27208	+	0.340853i	0.441253	+	0.897383i	$0.354534\pi$
$654$	−1.50765	+	24.6905i	−0.0589538	+	0.965476i
$655$	−1.31339	−	0.366675i	−0.0513182	−	0.0143272i
$656$	−3.54684	+	0.625403i	−0.138481	+	0.0244179i
$657$	41.6901	+	16.8342i	1.62649	+	0.656763i
$658$	3.26006	−	12.1667i	0.127090	−	0.474308i
$659$	−21.8138	+	18.3040i	−0.849746	+	0.713021i	−0.959734	−	0.280912i	$-0.909363\pi$
$659$	−21.8138	+	18.3040i	−0.849746	+	0.713021i	0.109988	+	0.993933i	$0.464919\pi$
$660$	21.9602	+	9.82008i	0.854798	+	0.382246i
$661$	26.6217	+	9.68952i	1.03547	+	0.376878i	0.803159	−	0.595764i	$-0.203151\pi$
$661$	26.6217	+	9.68952i	1.03547	+	0.376878i	0.232306	+	0.972643i	$0.425373\pi$
$662$	−1.18313	−	13.5232i	−0.0459837	−	0.525596i
$663$	−0.469487	−	0.254850i	−0.0182334	−	0.00989754i
$664$		−	12.2762i		−	0.476409i
$665$	32.4381	+	18.9565i	1.25790	+	0.735100i
$666$	−18.9816	−	14.2977i	−0.735524	−	0.554025i
$667$	−28.0400	−	40.0453i	−1.08571	−	1.55056i
$668$	2.37077	−	0.207415i	0.0917277	−	0.00802513i
$669$	−4.58718	−	40.2253i	−0.177351	−	1.55520i
$670$	19.0310	+	1.86562i	0.735231	+	0.0720751i
$671$	27.2593	+	32.4864i	1.05233	+	1.25412i
$672$	−1.33174	−	6.54237i	−0.0513731	−	0.252377i
$673$	23.2580	−	6.23196i	0.896530	−	0.240224i	0.219004	−	0.975724i	$-0.429719\pi$
$673$	23.2580	−	6.23196i	0.896530	−	0.240224i	0.677525	+	0.735499i	$0.263052\pi$
$674$	−3.14099	−	17.8135i	−0.120986	−	0.686149i
$675$	25.8044	+	3.02238i	0.993210	+	0.116332i
$676$	−6.48542	+	11.2331i	−0.249439	+	0.432041i
$677$	5.04743	−	18.8373i	0.193989	−	0.723975i	−0.798538	−	0.601945i	$-0.794393\pi$
$677$	5.04743	−	18.8373i	0.193989	−	0.723975i	0.992526	−	0.122030i	$-0.0389406\pi$
$678$	−22.7461	+	8.96256i	−0.873558	+	0.344205i
$679$	18.5291	+	50.9083i	0.711081	+	1.95368i
$680$	−2.82532	−	2.88500i	−0.108346	−	0.110635i
$681$	−5.87833	+	24.4958i	−0.225258	+	0.938683i
$682$	7.08741	+	10.1219i	0.271391	+	0.387586i
$683$	−6.67662	+	6.67662i	−0.255474	+	0.255474i	−0.823210	−	0.567737i	$-0.807819\pi$
$683$	−6.67662	+	6.67662i	−0.255474	+	0.255474i	0.567737	+	0.823210i	$0.307819\pi$
$684$	−7.18109	−	10.9285i	−0.274576	−	0.417861i
$685$	4.07737	+	11.5776i	0.155788	+	0.442356i
$686$	−3.25979	−	0.574789i	−0.124459	−	0.0219455i
$687$	1.30717	−	0.801215i	0.0498716	−	0.0305683i
$688$	−2.27061	−	4.86935i	−0.0865664	−	0.185642i
$689$	1.00881	−	0.367177i	0.0384326	−	0.0139883i
$690$	−28.5438	−	2.04258i	−1.08664	−	0.0777598i
$691$	10.0500	+	17.4071i	0.382319	+	0.662196i	0.991393	−	0.130917i	$-0.0417921\pi$
$691$	10.0500	+	17.4071i	0.382319	+	0.662196i	−0.609074	+	0.793113i	$0.708459\pi$
$692$	−1.06312	+	0.284861i	−0.0404137	+	0.0108288i
$693$	−68.3069	+	22.2094i	−2.59476	+	0.843666i
$694$	−9.07383	+	1.59996i	−0.344438	+	0.0607337i
$695$	20.2874	+	29.6277i	0.769545	+	1.12384i
$696$	9.55671	+	6.32407i	0.362246	+	0.239713i
$697$	0.566852	−	6.47915i	0.0214711	−	0.245415i
$698$	−3.45735	+	7.41431i	−0.130863	+	0.280636i
$699$	23.5905	−	2.69020i	0.892274	−	0.101753i
$700$	−13.9103	+	13.3406i	−0.525760	+	0.504227i
$701$	−8.57744	−	1.51243i	−0.323965	−	0.0571238i	0.00930044	−	0.999957i	$-0.497040\pi$
$701$	−8.57744	−	1.51243i	−0.323965	−	0.0571238i	−0.333266	+	0.942833i	$0.608151\pi$
$702$	0.731210	−	0.502871i	0.0275977	−	0.0189796i
$703$	28.1808	−	19.9511i	1.06286	−	0.752470i
$704$	6.21119			0.234093
$705$	12.4966	+	2.00009i	0.470649	+	0.0753276i
$706$	−3.71133	−	3.11418i	−0.139678	−	0.117204i
$707$	−10.8634	−	23.2966i	−0.408559	−	0.876159i
$708$	−0.0734354	−	2.79367i	−0.00275987	−	0.104992i
$709$	28.0795	+	33.4638i	1.05455	+	1.25676i	0.965409	+	0.260741i	$0.0839669\pi$
$709$	28.0795	+	33.4638i	1.05455	+	1.25676i	0.0891384	+	0.996019i	$0.471589\pi$
$710$	7.70771	+	6.60603i	0.289265	+	0.247920i
$711$	3.13473	+	7.38085i	0.117562	+	0.276803i
$712$	−5.16084	−	3.61366i	−0.193411	−	0.135428i
$713$	−12.0410	−	8.43117i	−0.450937	−	0.315750i
$714$	12.0345	+	0.734848i	0.450379	+	0.0275010i
$715$	−1.80103	−	1.54360i	−0.0673546	−	0.0577275i
$716$	8.66045	+	10.3211i	0.323656	+	0.385718i
$717$	−37.9918	+	0.998667i	−1.41883	+	0.0372959i
$718$	−4.45007	−	9.54321i	−0.166075	−	0.356150i
$719$	4.23694	+	3.55521i	0.158011	+	0.132587i	0.718365	−	0.695666i	$-0.244891\pi$
$719$	4.23694	+	3.55521i	0.158011	+	0.132587i	−0.560354	+	0.828253i	$0.689335\pi$
$720$	6.40080	−	2.00744i	0.238544	−	0.0748129i
$721$	−24.8444			−0.925252
$722$	18.3006	−	5.10777i	0.681077	−	0.190091i
$723$	10.9859	+	3.67460i	0.408569	+	0.136660i
$724$	7.90599	+	1.39404i	0.293824	+	0.0518091i
$725$	0.691466	−	33.0741i	0.0256804	−	1.22834i
$726$	−5.41225	−	47.4604i	−0.200868	−	1.76142i
$727$	−2.34550	+	5.02995i	−0.0869899	+	0.186551i	−0.944990	−	0.327099i	$-0.893929\pi$
$727$	−2.34550	+	5.02995i	−0.0869899	+	0.186551i	0.858000	+	0.513649i	$0.171707\pi$
$728$	−0.0573777	+	0.655830i	−0.00212656	+	0.0243067i
$729$	26.6650	−	4.23979i	0.987594	−	0.157029i
$730$	−18.9335	−	27.6505i	−0.700762	−	1.02339i
$731$	9.55500	−	1.68481i	0.353405	−	0.0623148i
$732$	11.6962	+	1.74680i	0.432302	+	0.0645637i
$733$	−24.4994	+	6.56460i	−0.904907	+	0.242469i	−0.681122	−	0.732170i	$-0.738508\pi$
$733$	−24.4994	+	6.56460i	−0.904907	+	0.242469i	−0.223784	+	0.974639i	$0.571841\pi$
$734$	−0.226827	−	0.392876i	−0.00837234	−	0.0145013i
$735$	2.17248	−	30.3590i	0.0801332	−	1.11981i
$736$	−6.94321	+	2.52712i	−0.255930	+	0.0931510i
$737$	−22.4479	−	48.1397i	−0.826880	−	1.77325i
$738$	9.16401	+	5.72375i	0.337332	+	0.210694i
$739$	−22.1066	−	3.89798i	−0.813203	−	0.143390i	−0.248445	−	0.968646i	$-0.579919\pi$
$739$	−22.1066	−	3.89798i	−0.813203	−	0.143390i	−0.564758	+	0.825257i	$0.691030\pi$
$740$	5.88379	+	16.7068i	0.216292	+	0.614156i
$741$	0.372749	+	1.23436i	0.0136933	+	0.0453455i
$742$	−17.1334	+	17.1334i	−0.628986	+	0.628986i
$743$	−12.9019	−	18.4258i	−0.473323	−	0.675976i	0.509511	−	0.860464i	$-0.329826\pi$
$743$	−12.9019	−	18.4258i	−0.473323	−	0.675976i	−0.982835	+	0.184488i	$0.940937\pi$
$744$	3.35061	+	0.804055i	0.122839	+	0.0294781i
$745$	−20.5709	−	21.0055i	−0.753661	−	0.769582i
$746$	−1.79114	−	4.92113i	−0.0655784	−	0.180175i
$747$	−24.6376	+	27.3739i	−0.901444	+	1.00156i
$748$	−2.90306	+	10.8343i	−0.106146	+	0.396143i
$749$	8.53894	−	14.7899i	0.312006	−	0.540411i
$750$	−14.7710	−	12.5227i	−0.539362	−	0.457263i
$751$	1.71747	+	9.74024i	0.0626713	+	0.355426i	0.999976	+	0.00691575i	$0.00220137\pi$
$751$	1.71747	+	9.74024i	0.0626713	+	0.355426i	−0.937305	+	0.348511i	$0.886688\pi$
$752$	3.15633	−	0.845737i	0.115100	−	0.0308408i
$753$	−5.38821	+	1.09681i	−0.196357	+	0.0399699i
$754$	−0.726334	−	0.865611i	−0.0264515	−	0.0315237i
$755$	−14.6218	−	1.43338i	−0.532140	−	0.0521659i
$756$	−10.1606	+	17.2612i	−0.369537	+	0.627782i
$757$	−26.5566	+	2.32341i	−0.965218	+	0.0844456i	−0.558854	−	0.829266i	$-0.688759\pi$
$757$	−26.5566	+	2.32341i	−0.965218	+	0.0844456i	−0.406364	+	0.913711i	$0.633203\pi$
$758$	−20.1785	−	28.8179i	−0.732916	−	1.04671i
$759$	35.4752	+	71.1344i	1.28767	+	2.58201i
$760$	−0.0512928	+	9.74666i	−0.00186059	+	0.353548i
$761$		−	22.9301i		−	0.831215i	−0.909544	−	0.415607i	$-0.863569\pi$
$761$		−	22.9301i		−	0.831215i	0.909544	−	0.415607i	$-0.136431\pi$
$762$	−7.08624	+	13.0544i	−0.256708	+	0.472910i
$763$	4.79804	+	54.8419i	0.173701	+	1.98541i
$764$	−8.27091	−	3.01036i	−0.299231	−	0.108911i
$765$	0.509959	+	12.1033i	0.0184376	+	0.437597i
$766$	−10.9705	+	9.20533i	−0.396380	+	0.332602i
$767$	−0.0713209	+	0.266173i	−0.00257525	+	0.00961095i
$768$	1.29711	−	1.14782i	0.0468056	−	0.0414185i
$769$	30.4540	−	5.36986i	1.09820	−	0.193642i	0.404949	−	0.914339i	$-0.367289\pi$
$769$	30.4540	−	5.36986i	1.09820	−	0.193642i	0.693250	+	0.720697i	$0.256178\pi$
$770$	51.5647	+	14.3960i	1.85826	+	0.518796i
$771$	−52.8384	−	3.22641i	−1.90293	−	0.116196i
$772$	−17.4349	−	4.67167i	−0.627496	−	0.168137i
$773$	3.16066	−	36.1265i	0.113681	−	1.29938i	−0.698346	−	0.715761i	$-0.746080\pi$
$773$	3.16066	−	36.1265i	0.113681	−	1.29938i	0.812027	−	0.583620i	$-0.198364\pi$
$774$	−4.70941	+	15.4149i	−0.169276	+	0.554075i
$775$	−3.20595	−	9.41618i	−0.115161	−	0.338239i
$776$	−9.03398	+	10.7663i	−0.324301	+	0.386487i
$777$	−46.4806	−	25.2309i	−1.66748	−	0.905152i
$778$	15.0089	+	15.0089i	0.538096	+	0.538096i
$779$	−11.9735	+	10.1533i	−0.428993	+	0.363778i
$780$	−0.661375	+	0.0104695i	−0.0236810	+	0.000374867i
$781$	4.89644	−	27.7691i	0.175209	−	0.993657i
$782$	−1.16293	−	13.2924i	−0.0415864	−	0.475335i
$783$	−8.61786	−	33.2814i	−0.307977	−	1.18938i
$784$	−2.68784	−	7.38477i	−0.0959942	−	0.263742i
$785$	−9.96648	+	16.8532i	−0.355719	+	0.601515i
$786$	0.880848	+	0.582894i	0.0314188	+	0.0207911i
$787$	−12.6936	−	47.3730i	−0.452477	−	1.68867i	−0.695402	−	0.718621i	$-0.744774\pi$
$787$	−12.6936	−	47.3730i	−0.452477	−	1.68867i	0.242926	−	0.970045i	$-0.421893\pi$
$788$	3.38531	+	2.37042i	0.120597	+	0.0844428i
$789$	−2.10001	−	2.83740i	−0.0747623	−	0.101014i
$790$	1.09935	−	5.87500i	0.0391132	−	0.209023i
$791$	−47.1201	+	27.2048i	−1.67540	+	0.967292i
$792$	−13.8499	−	12.4655i	−0.492136	−	0.442943i
$793$	−1.05683	−	0.492808i	−0.0375291	−	0.0175001i
$794$	9.48515	+	3.45231i	0.336615	+	0.122518i
$795$	−18.8948	−	15.3516i	−0.670131	−	0.544467i
$796$	−1.75412	+	9.94814i	−0.0621733	+	0.352602i
$797$	−9.79981	−	9.79981i	−0.347127	−	0.347127i	0.511911	−	0.859038i	$-0.328938\pi$
$797$	−9.79981	−	9.79981i	−0.347127	−	0.347127i	−0.859038	+	0.511911i	$0.828938\pi$
$798$	−19.3988	−	21.6941i	−0.686711	−	0.767961i
$799$			5.90097i			0.208761i
$800$	−4.80152	−	1.39476i	−0.169760	−	0.0493123i
$801$	4.25542	+	18.4154i	0.150358	+	0.650675i
$802$	26.4006	−	12.3108i	0.932236	−	0.434709i
$803$	−39.3400	+	84.3648i	−1.38828	+	2.97717i
$804$	−13.5841	−	5.90491i	−0.479074	−	0.208250i
$805$	−63.4991	+	4.88728i	−2.23805	+	0.172254i
$806$	−0.294245	−	0.169882i	−0.0103643	−	0.00598384i
$807$	5.89088	−	39.4439i	0.207369	−	1.38849i
$808$	3.82488	−	5.46249i	0.134559	−	0.192170i
$809$	2.88895	−	5.00381i	0.101570	−	0.175924i	−0.810762	−	0.585376i	$-0.800947\pi$
$809$	2.88895	−	5.00381i	0.101570	−	0.175924i	0.912332	+	0.409452i	$0.134280\pi$
$810$	−18.3016	−	8.36977i	−0.643051	−	0.294084i
$811$	−13.8117	+	11.5894i	−0.484994	+	0.406958i	−0.852228	−	0.523170i	$-0.824749\pi$
$811$	−13.8117	+	11.5894i	−0.484994	+	0.406958i	0.367234	+	0.930128i	$0.380305\pi$
$812$	23.1142	+	10.7783i	0.811149	+	0.378245i
$813$	−9.94629	−	7.91001i	−0.348832	−	0.277416i
$814$	31.6257	−	37.6901i	1.10848	−	1.32104i
$815$	−39.5639	+	6.55059i	−1.38586	+	0.229457i
$816$	1.39592	+	2.79907i	0.0488669	+	0.0979872i
$817$	−19.2533	−	13.3330i	−0.673589	−	0.466461i
$818$	−21.6237	+	21.6237i	−0.756055	+	0.756055i
$819$	1.44416	−	1.34724i	0.0504629	−	0.0470764i
$820$	−3.32701	−	7.33395i	−0.116184	−	0.256113i
$821$	−2.86843	+	7.88095i	−0.100109	+	0.275047i	−0.979629	−	0.200814i	$-0.935641\pi$
$821$	−2.86843	+	7.88095i	−0.100109	+	0.275047i	0.879520	+	0.475861i	$0.157864\pi$
$822$	−0.249840	−	9.50455i	−0.00871417	−	0.331509i
$823$	48.3838	+	4.23304i	1.68655	+	0.147554i	0.889678	−	0.456588i	$-0.150929\pi$
$823$	48.3838	+	4.23304i	1.68655	+	0.147554i	0.796876	+	0.604143i	$0.206484\pi$
$824$	−3.22261	−	5.58172i	−0.112265	−	0.194448i
$825$	−9.05566	+	53.0227i	−0.315278	+	1.84601i
$826$	−1.08000	−	6.12500i	−0.0375781	−	0.213116i
$827$	−16.6625	+	23.7965i	−0.579413	+	0.827487i	−0.996690	−	0.0812920i	$-0.974095\pi$
$827$	−16.6625	+	23.7965i	−0.579413	+	0.827487i	0.417278	+	0.908779i	$0.362984\pi$
$828$	20.5540	+	8.29957i	0.714302	+	0.288430i
$829$	−9.79697	+	5.65628i	−0.340263	+	0.196451i	−0.660388	−	0.750924i	$-0.729608\pi$
$829$	−9.79697	+	5.65628i	−0.340263	+	0.196451i	0.320125	+	0.947375i	$0.396275\pi$
$830$	26.5879	−	6.82718i	0.922879	−	0.236975i
$831$	26.3310	−	27.7527i	0.913414	−	0.962731i
$832$	−0.154786	+	0.0721779i	−0.00536624	+	0.00250232i
$833$	14.1377	−	1.23689i	0.489844	−	0.0428558i
$834$	−7.90233	−	26.6680i	−0.273635	−	0.923437i
$835$	1.76768	+	5.01927i	0.0611730	+	0.173699i
$836$	23.3762	−	13.6585i	0.808481	−	0.472388i
$837$	−5.85763	−	8.51740i	−0.202469	−	0.294405i
$838$	−16.2327	+	11.3663i	−0.560749	+	0.392641i
$839$	17.4298	+	14.6253i	0.601744	+	0.504923i	0.892006	−	0.452024i	$-0.149298\pi$
$839$	17.4298	+	14.6253i	0.601744	+	0.504923i	−0.290262	+	0.956947i	$0.593742\pi$
$840$	13.4289	−	6.52272i	0.463340	−	0.225055i
$841$	−13.8838	+	5.05330i	−0.478753	+	0.174252i
$842$	−22.4053	−	1.96021i	−0.772137	−	0.0675532i
$843$	−9.55671	+	1.94533i	−0.329151	+	0.0670009i
$844$	−2.29066	−	1.32251i	−0.0788477	−	0.0455227i
$845$	−27.9354	−	7.79910i	−0.961007	−	0.268297i
$846$	−8.73545	−	4.44873i	−0.300331	−	0.152950i
$847$	−27.5146	−	102.686i	−0.945413	−	3.52833i
$848$	−6.07171	−	1.62691i	−0.208503	−	0.0558683i
$849$	10.2640	+	4.46170i	0.352260	+	0.153125i
$850$	4.67711	−	7.72353i	0.160424	−	0.264915i
$851$	−20.0182	+	54.9995i	−0.686214	+	1.88536i
$852$	−4.10916	−	6.70402i	−0.140777	−	0.229676i
$853$	34.7693	−	24.3457i	1.19048	−	0.833582i	0.201189	−	0.979552i	$-0.435519\pi$
$853$	34.7693	−	24.3457i	1.19048	−	0.833582i	0.989289	+	0.145971i	$0.0466306\pi$
$854$	26.3186			0.900605
$855$	19.6754	−	21.6305i	0.672884	−	0.739748i
$856$	4.43041			0.151428
$857$	−35.5646	+	24.9026i	−1.21487	+	0.850658i	−0.992251	−	0.124249i	$-0.960348\pi$
$857$	−35.5646	+	24.9026i	−1.21487	+	0.850658i	−0.222614	+	0.974907i	$0.571459\pi$
$858$	0.960169	+	1.56650i	0.0327796	+	0.0534795i
$859$	−11.9361	+	32.7941i	−0.407253	+	1.11892i	0.551375	+	0.834258i	$0.314103\pi$
$859$	−11.9361	+	32.7941i	−0.407253	+	1.11892i	−0.958628	+	0.284661i	$0.908119\pi$
$860$	9.28331	−	7.62571i	0.316558	−	0.260034i
$861$	22.0525	+	9.58606i	0.751547	+	0.326692i
$862$	−23.6309	−	6.33188i	−0.804872	−	0.215665i
$863$	1.03666	+	3.86885i	0.0352881	+	0.131697i	0.981323	−	0.192368i	$-0.0616168\pi$
$863$	1.03666	+	3.86885i	0.0352881	+	0.131697i	−0.946035	+	0.324066i	$0.894950\pi$
$864$	−5.19597	−	0.0437798i	−0.176770	−	0.00148942i
$865$	−1.20819	−	2.14409i	−0.0410796	−	0.0729011i
$866$	21.2891	+	12.2912i	0.723432	+	0.417674i
$867$	23.3182	−	4.74658i	0.791928	−	0.161202i
$868$	7.63935	+	0.668356i	0.259296	+	0.0226855i
$869$	−15.6011	+	5.67835i	−0.529233	+	0.192625i
$870$	−8.38193	+	24.2150i	−0.284174	+	0.820965i
$871$	1.11883	+	0.938809i	0.0379101	+	0.0318103i
$872$	−11.6988	+	8.19161i	−0.396172	+	0.277403i
$873$	41.7516	−	5.87636i	1.41308	−	0.198885i
$874$	−20.5740	+	24.7792i	−0.695926	+	0.838168i
$875$	−36.6291	−	22.7079i	−1.23829	−	0.767668i
$876$	7.37497	+	24.8883i	0.249177	+	0.840898i
$877$	−23.2765	+	2.03643i	−0.785993	+	0.0687655i	−0.473084	−	0.881018i	$-0.656859\pi$
$877$	−23.2765	+	2.03643i	−0.785993	+	0.0687655i	−0.312909	+	0.949783i	$0.601304\pi$
$878$	14.3700	−	6.70084i	0.484964	−	0.226143i
$879$	15.4212	−	16.2538i	0.520144	−	0.548228i
$880$	3.45424	+	13.4522i	0.116442	+	0.453475i
$881$	39.2740	−	22.6749i	1.32318	−	0.763936i	0.338942	−	0.940807i	$-0.389931\pi$
$881$	39.2740	−	22.6749i	1.32318	−	0.763936i	0.984234	+	0.176872i	$0.0565978\pi$
$882$	−8.82739	+	21.8612i	−0.297234	+	0.736104i
$883$	3.60752	−	5.15208i	0.121403	−	0.173381i	−0.753850	−	0.657046i	$-0.771806\pi$
$883$	3.60752	−	5.15208i	0.121403	−	0.173381i	0.875253	+	0.483665i	$0.160695\pi$
$884$	−0.0535563	−	0.303733i	−0.00180129	−	0.0102156i
$885$	6.00970	−	1.71269i	0.202014	−	0.0575715i
$886$	−17.2582	−	29.8920i	−0.579800	−	1.00424i
$887$	43.8624	+	3.83746i	1.47275	+	0.128849i	0.795077	−	0.606509i	$-0.207431\pi$
$887$	43.8624	+	3.83746i	1.47275	+	0.128849i	0.677678	+	0.735358i	$0.262986\pi$
$888$	−0.360528	−	13.7154i	−0.0120985	−	0.460259i
$889$	−11.3062	+	31.0634i	−0.379196	+	1.04183i
$890$	4.95638	−	13.1870i	0.166138	−	0.442031i
$891$	5.86553	+	55.5921i	0.196503	+	1.86241i
$892$	16.5283	−	16.5283i	0.553409	−	0.553409i
$893$	10.0193	−	10.1238i	0.335281	−	0.338779i
$894$	10.1636	+	20.3799i	0.339921	+	0.681604i
$895$	−17.5372	+	24.4968i	−0.586204	+	0.818836i
$896$	2.47775	−	2.95287i	0.0827759	−	0.0986485i
$897$	−1.71069	−	1.36046i	−0.0571182	−	0.0454245i
$898$	24.9275	+	11.6239i	0.831842	+	0.387894i
$899$	−10.0830	+	8.46061i	−0.336285	+	0.282177i
$900$	7.90741	+	12.7465i	0.263580	+	0.424883i
$901$	5.67573	−	9.83065i	0.189086	−	0.327507i
$902$	−12.8309	+	18.3244i	−0.427221	+	0.610134i
$903$	−5.29854	+	35.4778i	−0.176325	+	1.18063i
$904$	−12.2241	−	7.05757i	−0.406567	−	0.234731i
$905$	1.37755	+	17.8981i	0.0457913	+	0.594953i
$906$	10.4368	+	4.53682i	0.346741	+	0.150726i
$907$	−13.8755	+	29.7560i	−0.460727	+	0.988033i	0.529466	+	0.848331i	$0.322392\pi$
$907$	−13.8755	+	29.7560i	−0.460727	+	0.988033i	−0.990194	+	0.139702i	$0.955386\pi$
$908$	−13.1815	+	6.14664i	−0.437444	+	0.203984i
$909$	−19.4918	+	4.50415i	−0.646501	+	0.149393i
$910$	−1.45231	+	0.240458i	−0.0481436	+	0.00797112i
$911$		−	50.2090i		−	1.66350i	−0.555152	−	0.831749i	$-0.687340\pi$
$911$		−	50.2090i		−	1.66350i	0.555152	−	0.831749i	$-0.312660\pi$
$912$	2.35769	−	7.17226i	0.0780710	−	0.237497i
$913$	−53.9168	−	53.9168i	−1.78438	−	1.78438i
$914$	−3.44937	+	19.5624i	−0.114095	+	0.647066i
$915$	2.72136	+	26.3031i	0.0899655	+	0.869553i
$916$	0.831798	+	0.302750i	0.0274834	+	0.0100031i
$917$	2.13045	+	0.993445i	0.0703537	+	0.0328064i
$918$	2.50492	−	9.04301i	0.0826746	−	0.298464i
$919$	42.1101	−	24.3123i	1.38908	−	0.801988i	0.395872	−	0.918306i	$-0.370442\pi$
$919$	42.1101	−	24.3123i	1.38908	−	0.801988i	0.993212	+	0.116317i	$0.0371090\pi$
$920$	−9.33460	−	13.6322i	−0.307753	−	0.449442i
$921$	−26.9559	−	36.4211i	−0.888226	−	1.20012i
$922$	29.2522	+	20.4826i	0.963371	+	0.674559i
$923$	0.200673	+	0.748921i	0.00660522	+	0.0246510i
$924$	−34.5829	−	22.8849i	−1.13769	−	0.752859i
$925$	−32.9116	+	22.0343i	−1.08213	+	0.724485i
$926$	2.08239	+	5.72131i	0.0684315	+	0.188014i
$927$	−4.01631	+	18.9139i	−0.131913	+	0.621214i
$928$	0.576645	+	6.59108i	0.0189293	+	0.216363i
$929$	4.03035	−	22.8572i	0.132231	−	0.749921i	−0.844516	−	0.535530i	$-0.820112\pi$
$929$	4.03035	−	22.8572i	0.132231	−	0.749921i	0.976748	−	0.214392i	$-0.0687769\pi$
$930$	0.121952	+	7.70394i	0.00399897	+	0.252622i
$931$	−26.3550	−	21.8824i	−0.863751	−	0.717168i
$932$	9.69320	+	9.69320i	0.317511	+	0.317511i
$933$	16.1662	+	8.77544i	0.529258	+	0.287295i
$934$	−13.6788	+	16.3017i	−0.447583	+	0.533408i
$935$	−25.0796	−	0.262136i	−0.820190	−	0.00857276i
$936$	0.490005	+	0.149702i	0.0160163	+	0.00489316i
$937$	2.25823	−	25.8117i	0.0737731	−	0.843230i	−0.865690	−	0.500580i	$-0.833120\pi$
$937$	2.25823	−	25.8117i	0.0737731	−	0.843230i	0.939463	−	0.342650i	$-0.111324\pi$
$938$	−31.8411	−	8.53179i	−1.03965	−	0.278573i
$939$	56.6148	+	3.45700i	1.84755	+	0.112815i
$940$	3.58704	+	6.36566i	0.116996	+	0.207625i
$941$	8.54721	−	1.50710i	0.278631	−	0.0491302i	−0.0325864	−	0.999469i	$-0.510374\pi$
$941$	8.54721	−	1.50710i	0.278631	−	0.0491302i	0.311217	+	0.950339i	$0.399263\pi$
$942$	11.3579	−	10.0506i	0.370059	−	0.327467i
$943$	6.88748	−	25.7044i	0.224287	−	0.837052i
$944$	1.23600	−	1.03713i	0.0402283	−	0.0337556i
$945$	−43.0349	−	12.4064i	−1.39993	−	0.403581i
$946$	−31.3585	−	11.4136i	−1.01955	−	0.371087i
$947$	−3.73843	−	42.7305i	−0.121483	−	1.38855i	−0.775152	−	0.631774i	$-0.782327\pi$
$947$	−3.73843	−	42.7305i	−0.121483	−	1.38855i	0.653670	−	0.756780i	$-0.273229\pi$
$948$	−2.20871	+	4.06892i	−0.0717356	+	0.132152i
$949$		−	2.55957i		−	0.0830872i
$950$	−21.1379	+	5.30933i	−0.685804	+	0.172257i
$951$	14.5399	+	29.1553i	0.471490	+	0.945425i
$952$	3.99270	+	5.70216i	0.129404	+	0.184808i
$953$	5.34762	−	0.467856i	0.173226	−	0.0151553i	−0.000212580	−	1.00000i	$-0.500068\pi$
$953$	5.34762	−	0.467856i	0.173226	−	0.0151553i	0.173439	+	0.984845i	$0.444512\pi$
$954$	10.2738	+	15.8133i	0.332627	+	0.511976i
$955$	1.92016	−	19.5873i	0.0621348	−	0.633831i
$956$	−14.1042	−	16.8087i	−0.456161	−	0.543631i
$957$	69.7480	−	14.1977i	2.25463	−	0.458946i
$958$	34.0573	−	9.12563i	1.10034	−	0.294836i
$959$	−3.67436	−	20.8383i	−0.118651	−	0.672905i
$960$	3.20733	+	2.17096i	0.103516	+	0.0700674i
$961$	13.5211	−	23.4193i	0.436166	−	0.755462i
$962$	−0.350147	+	1.30677i	−0.0112892	+	0.0421319i
$963$	−9.87909	−	8.89158i	−0.318349	−	0.286527i
$964$	2.28747	+	6.28476i	0.0736743	+	0.202418i
$965$	0.421835	−	40.3587i	0.0135794	−	1.29919i
$966$	47.9698	+	11.5114i	1.54340	+	0.370374i
$967$	3.60344	+	5.14625i	0.115879	+	0.165492i	0.872902	−	0.487896i	$-0.162236\pi$
$967$	3.60344	+	5.14625i	0.115879	+	0.165492i	−0.757023	+	0.653389i	$0.773347\pi$
$968$	19.5012	−	19.5012i	0.626792	−	0.626792i
$969$	11.4088	+	7.46484i	0.366504	+	0.239805i
$970$	−28.3418	−	13.5784i	−0.909999	−	0.435976i
$971$	0.906767	+	0.159888i	0.0290995	+	0.00513104i	0.188179	−	0.982135i	$-0.439741\pi$
$971$	0.906767	+	0.159888i	0.0290995	+	0.00513104i	−0.159079	+	0.987266i	$0.550853\pi$
$972$	11.4983	+	10.5256i	0.368808	+	0.337610i
$973$	−26.1604	−	56.1012i	−0.838664	−	1.79852i
$974$	17.5674	−	6.39401i	0.562896	−	0.204877i
$975$	−0.390486	−	1.42659i	−0.0125056	−	0.0456873i
$976$	3.41384	+	5.91294i	0.109274	+	0.189269i
$977$	30.5108	−	8.17534i	0.976127	−	0.261552i	0.264714	−	0.964327i	$-0.414722\pi$
$977$	30.5108	−	8.17534i	0.976127	−	0.261552i	0.711413	+	0.702775i	$0.248056\pi$
$978$	30.7226	+	4.58837i	0.982399	+	0.146720i
$979$	−38.5373	+	6.79517i	−1.23166	+	0.217175i
$980$	14.4992	−	9.92824i	0.463160	−	0.317146i
$981$	42.5266	+	5.21294i	1.35777	+	0.166436i
$982$	−1.12507	+	12.8597i	−0.0359026	+	0.410368i
$983$	18.9094	−	40.5514i	0.603117	−	1.29339i	−0.333407	−	0.942783i	$-0.608198\pi$
$983$	18.9094	−	40.5514i	0.603117	−	1.29339i	0.936524	−	0.350605i	$-0.114024\pi$
$984$	0.706792	+	6.19790i	0.0225317	+	0.197582i
$985$	−3.25120	+	8.65020i	−0.103592	+	0.275618i
$986$	−11.7665	−	2.07476i	−0.374722	−	0.0660737i
$987$	−20.6900	−	6.92048i	−0.658571	−	0.220281i
$988$	−0.423826	+	0.612022i	−0.0134837	+	0.0194710i
$989$	39.6981			1.26233
$990$	19.2955	−	36.9288i	0.613251	−	1.17367i
$991$	−15.3076	−	12.8446i	−0.486262	−	0.408022i	0.366422	−	0.930449i	$-0.380583\pi$
$991$	−15.3076	−	12.8446i	−0.486262	−	0.408022i	−0.852684	+	0.522426i	$0.825027\pi$
$992$	0.840756	+	1.80301i	0.0266940	+	0.0572455i
$993$	−23.5043	+	0.617843i	−0.745887	+	0.0196066i
$994$	−11.2485	−	13.4054i	−0.356780	−	0.425194i
$995$	−22.5213	+	1.73337i	−0.713972	+	0.0549517i
$996$	−21.2235	−	1.29595i	−0.672491	−	0.0410636i
$997$	6.02910	+	4.22162i	0.190944	+	0.133700i	0.665139	−	0.746719i	$-0.268372\pi$
$997$	6.02910	+	4.22162i	0.190944	+	0.133700i	−0.474196	+	0.880420i	$0.657261\pi$
$998$	−8.35909	−	5.85310i	−0.264602	−	0.185276i
$999$	−26.7221	+	31.3067i	−0.845451	+	0.990500i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	570.2.bi.a.473.28	yes	480
3.2	odd	2	inner	570.2.bi.a.473.13	yes	480
5.2	odd	4	inner	570.2.bi.a.17.24	yes	480
15.2	even	4	inner	570.2.bi.a.17.3	✓	480
19.9	even	9	inner	570.2.bi.a.503.3	yes	480
57.47	odd	18	inner	570.2.bi.a.503.24	yes	480
95.47	odd	36	inner	570.2.bi.a.47.13	yes	480
285.47	even	36	inner	570.2.bi.a.47.28	yes	480

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
570.2.bi.a.17.3	✓	480	15.2	even	4	inner
570.2.bi.a.17.24	yes	480	5.2	odd	4	inner
570.2.bi.a.47.13	yes	480	95.47	odd	36	inner
570.2.bi.a.47.28	yes	480	285.47	even	36	inner
570.2.bi.a.473.13	yes	480	3.2	odd	2	inner
570.2.bi.a.473.28	yes	480	1.1	even	1	trivial
570.2.bi.a.503.3	yes	480	19.9	even	9	inner
570.2.bi.a.503.24	yes	480	57.47	odd	18	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:	\( N \)	\(=\)	\( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	570.bi (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.819152 - 0.573576i) q^{2} +(-0.905142 - 1.47673i) q^{3} +(0.342020 - 0.939693i) q^{4} +(2.22540 + 0.218157i) q^{5} +(-1.58846 - 0.690494i) q^{6} +(-3.72335 - 0.997670i) q^{7} +(-0.258819 - 0.965926i) q^{8} +(-1.36143 + 2.67329i) q^{9} +O(q^{10})\)	\(q+(0.819152 - 0.573576i) q^{2} +(-0.905142 - 1.47673i) q^{3} +(0.342020 - 0.939693i) q^{4} +(2.22540 + 0.218157i) q^{5} +(-1.58846 - 0.690494i) q^{6} +(-3.72335 - 0.997670i) q^{7} +(-0.258819 - 0.965926i) q^{8} +(-1.36143 + 2.67329i) q^{9} +(1.94807 - 1.09773i) q^{10} +(-5.37905 - 3.10559i) q^{11} +(-1.69724 + 0.345486i) q^{12} +(0.170138 + 0.0148851i) q^{13} +(-3.62223 + 1.31839i) q^{14} +(-1.69215 - 3.48377i) q^{15} +(-0.766044 - 0.642788i) q^{16} +(1.47927 - 1.03580i) q^{17} +(0.418116 + 2.97072i) q^{18} +(-4.29655 - 0.734629i) q^{19} +(0.966132 - 2.01658i) q^{20} +(1.89688 + 6.40140i) q^{21} +(-6.18755 + 0.541341i) q^{22} +(6.69654 - 3.12265i) q^{23} +(-1.19214 + 1.25650i) q^{24} +(4.90481 + 0.970974i) q^{25} +(0.147906 - 0.0853938i) q^{26} +(5.18001 - 0.409245i) q^{27} +(-2.21097 + 3.15759i) q^{28} +(-1.14890 - 6.51574i) q^{29} +(-3.38433 - 1.88316i) q^{30} +(-0.994699 - 1.72287i) q^{31} +(-0.996195 - 0.0871557i) q^{32} +(0.282694 + 10.7544i) q^{33} +(0.617641 - 1.69695i) q^{34} +(-8.06831 - 3.03249i) q^{35} +(2.04644 + 2.19365i) q^{36} +(-5.60123 + 5.60123i) q^{37} +(-3.94089 + 1.86263i) q^{38} +(-0.132018 - 0.264720i) q^{39} +(-0.365253 - 2.20604i) q^{40} +(2.31503 - 2.75895i) q^{41} +(5.22553 + 4.15572i) q^{42} +(4.86935 + 2.27061i) q^{43} +(-4.75805 + 3.99248i) q^{44} +(-3.61294 + 5.65214i) q^{45} +(3.69441 - 6.39890i) q^{46} +(-1.87426 + 2.67672i) q^{47} +(-0.255841 + 1.71305i) q^{48} +(6.80584 + 3.92936i) q^{49} +(4.57472 - 2.01791i) q^{50} +(-2.86855 - 1.24694i) q^{51} +(0.0721779 - 0.154786i) q^{52} +(5.69696 - 2.65654i) q^{53} +(4.00848 - 3.30637i) q^{54} +(-11.2930 - 8.08467i) q^{55} +3.85470i q^{56} +(2.80414 + 7.00976i) q^{57} +(-4.67840 - 4.67840i) q^{58} +(-0.280178 + 1.58897i) q^{59} +(-3.85242 + 0.398578i) q^{60} +(-6.41592 - 2.33520i) q^{61} +(-1.80301 - 0.840756i) q^{62} +(7.73617 - 8.59535i) q^{63} +(-0.866025 + 0.500000i) q^{64} +(0.375377 + 0.0702421i) q^{65} +(6.40003 + 8.64733i) q^{66} +(7.00516 + 4.90506i) q^{67} +(-0.467391 - 1.74433i) q^{68} +(-10.6726 - 7.06251i) q^{69} +(-8.34853 + 2.14372i) q^{70} +(1.55270 + 4.26601i) q^{71} +(2.93457 + 0.623146i) q^{72} +(-1.30619 - 14.9298i) q^{73} +(-1.37552 + 7.80099i) q^{74} +(-3.00569 - 8.12193i) q^{75} +(-2.15983 + 3.78618i) q^{76} +(16.9297 + 16.9297i) q^{77} +(-0.259979 - 0.141124i) q^{78} +(1.71816 - 2.04762i) q^{79} +(-1.56453 - 1.59758i) q^{80} +(-5.29299 - 7.27903i) q^{81} +(0.313896 - 3.58785i) q^{82} +(11.8579 + 3.17731i) q^{83} +(6.66412 + 0.406924i) q^{84} +(3.51795 - 1.98235i) q^{85} +(5.29111 - 0.932965i) q^{86} +(-8.58204 + 7.59428i) q^{87} +(-1.60757 + 5.99955i) q^{88} +(4.82625 - 4.04970i) q^{89} +(0.282391 + 6.70226i) q^{90} +(-0.618632 - 0.225164i) q^{91} +(-0.643978 - 7.36070i) q^{92} +(-1.64386 + 3.02834i) q^{93} +3.26768i q^{94} +(-9.40127 - 2.57217i) q^{95} +(0.772993 + 1.54999i) q^{96} +(-8.06126 - 11.5127i) q^{97} +(7.82881 - 0.684932i) q^{98} +(15.6254 - 10.1517i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 480 q+O(q^{10}) \) 480 * q	\( 480 q - 36 q^{15} - 48 q^{18} + 24 q^{22} - 24 q^{25} + 72 q^{33} + 24 q^{43} - 36 q^{45} + 24 q^{51} - 120 q^{55} + 108 q^{57} - 48 q^{60} - 48 q^{61} - 36 q^{63} - 24 q^{66} + 48 q^{67} - 48 q^{70} - 48 q^{78} - 144 q^{81} - 48 q^{85} - 96 q^{87} - 168 q^{90} - 144 q^{91} - 228 q^{93} + 48 q^{97}+O(q^{100}) \) 480 * q - 36 * q^15 - 48 * q^18 + 24 * q^22 - 24 * q^25 + 72 * q^33 + 24 * q^43 - 36 * q^45 + 24 * q^51 - 120 * q^55 + 108 * q^57 - 48 * q^60 - 48 * q^61 - 36 * q^63 - 24 * q^66 + 48 * q^67 - 48 * q^70 - 48 * q^78 - 144 * q^81 - 48 * q^85 - 96 * q^87 - 168 * q^90 - 144 * q^91 - 228 * q^93 + 48 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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