LMFDB - Embedded newform 95.2.r.a.78.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [95,2,Mod(2,95)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(95, base_ring=CyclotomicField(36))

chi = DirichletCharacter(H, H._module([9, 2]))

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

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

chi := DirichletCharacter("95.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	95.r (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:	$0.758578819202$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$8$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			78.7
Character	$\chi$	$=$	95.78
Dual form			95.2.r.a.67.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.833123 - 0.583359i) q^{2} +(1.77397 - 0.155202i) q^{3} +(-0.330254 + 0.907365i) q^{4} +(-1.54755 - 1.61403i) q^{5} +(1.38740 - 1.16417i) q^{6} +(-0.999898 - 0.267922i) q^{7} +(0.780644 + 2.91340i) q^{8} +(0.168464 - 0.0297048i) q^{9} +O(q^{10})$	\(q+(0.833123 - 0.583359i) q^{2} +(1.77397 - 0.155202i) q^{3} +(-0.330254 + 0.907365i) q^{4} +(-1.54755 - 1.61403i) q^{5} +(1.38740 - 1.16417i) q^{6} +(-0.999898 - 0.267922i) q^{7} +(0.780644 + 2.91340i) q^{8} +(0.168464 - 0.0297048i) q^{9} +(-2.23086 - 0.441910i) q^{10} +(-1.66191 + 2.87852i) q^{11} +(-0.445036 + 1.66090i) q^{12} +(0.517781 - 5.91827i) q^{13} +(-0.989333 + 0.360088i) q^{14} +(-2.99581 - 2.62306i) q^{15} +(0.870554 + 0.730481i) q^{16} +(2.65961 + 3.79832i) q^{17} +(0.123023 - 0.123023i) q^{18} +(-1.24956 - 4.17596i) q^{19} +(1.97560 - 0.871151i) q^{20} +(-1.81537 - 0.320099i) q^{21} +(0.294631 + 3.36765i) q^{22} +(1.82863 + 3.92151i) q^{23} +(1.83701 + 5.04714i) q^{24} +(-0.210188 + 4.99558i) q^{25} +(-3.02110 - 5.23270i) q^{26} +(-4.86597 + 1.30383i) q^{27} +(0.573323 - 0.818790i) q^{28} +(-0.428530 - 2.43031i) q^{29} +(-4.02606 - 0.437701i) q^{30} +(4.83826 - 2.79337i) q^{31} +(-4.85799 - 0.425019i) q^{32} +(-2.50143 + 5.36434i) q^{33} +(4.43157 + 1.61296i) q^{34} +(1.11496 + 2.02849i) q^{35} +(-0.0286828 + 0.162668i) q^{36} +(1.04483 + 1.04483i) q^{37} +(-3.47712 - 2.75014i) q^{38} -10.5792i q^{39} +(3.49424 - 5.76862i) q^{40} +(3.37025 - 4.01651i) q^{41} +(-1.69916 + 0.792332i) q^{42} +(4.42658 + 2.06415i) q^{43} +(-2.06301 - 2.45860i) q^{44} +(-0.308651 - 0.225937i) q^{45} +(3.81113 + 2.20036i) q^{46} +(3.72311 + 2.60695i) q^{47} +(1.65771 + 1.16074i) q^{48} +(-5.13416 - 2.96421i) q^{49} +(2.73911 + 4.28455i) q^{50} +(5.30758 + 6.32533i) q^{51} +(5.19903 + 2.42435i) q^{52} +(3.89220 - 1.81496i) q^{53} +(-3.29335 + 3.92486i) q^{54} +(7.21790 - 1.77227i) q^{55} -3.12226i q^{56} +(-2.86480 - 7.21409i) q^{57} +(-1.77476 - 1.77476i) q^{58} +(0.296059 - 1.67903i) q^{59} +(3.36945 - 1.85201i) q^{60} +(-8.16707 - 2.97257i) q^{61} +(2.40133 - 5.14967i) q^{62} +(-0.176405 - 0.0154335i) q^{63} +(-6.26359 + 3.61629i) q^{64} +(-10.3536 + 8.32309i) q^{65} +(1.04533 + 5.92839i) q^{66} +(1.52679 - 2.18049i) q^{67} +(-4.32481 + 1.15883i) q^{68} +(3.85257 + 6.67285i) q^{69} +(2.11223 + 1.03956i) q^{70} +(-1.88900 - 5.18999i) q^{71} +(0.218053 + 0.467615i) q^{72} +(-0.524621 - 5.99644i) q^{73} +(1.47998 + 0.260961i) q^{74} +(0.402459 + 8.89464i) q^{75} +(4.20179 + 0.245319i) q^{76} +(2.43296 - 2.43296i) q^{77} +(-6.17148 - 8.81378i) q^{78} +(11.5670 + 9.70584i) q^{79} +(-0.168205 - 2.53556i) q^{80} +(-8.91198 + 3.24369i) q^{81} +(0.464768 - 5.31232i) q^{82} +(-3.37701 + 12.6032i) q^{83} +(0.889980 - 1.54149i) q^{84} +(2.01472 - 10.1708i) q^{85} +(4.89203 - 0.862597i) q^{86} +(-1.13739 - 4.24480i) q^{87} +(-9.68364 - 2.59472i) q^{88} +(-7.03565 + 5.90361i) q^{89} +(-0.388946 - 0.00817880i) q^{90} +(-2.10336 + 5.77894i) q^{91} +(-4.16216 + 0.364141i) q^{92} +(8.14940 - 5.70627i) q^{93} +4.62260 q^{94} +(-4.80637 + 8.47932i) q^{95} -8.68390 q^{96} +(-1.60233 + 1.12196i) q^{97} +(-6.00659 + 0.525509i) q^{98} +(-0.194467 + 0.534293i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8}+O(q^{10}) $ 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8	$ 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8} - 12 q^{10} - 12 q^{11} - 18 q^{12} - 12 q^{13} + 6 q^{15} + 12 q^{16} - 30 q^{17} - 84 q^{20} + 24 q^{21} - 24 q^{22} + 12 q^{25} - 48 q^{26} - 18 q^{27} - 6 q^{30} - 36 q^{31} + 18 q^{32} + 90 q^{33} - 30 q^{35} + 24 q^{36} + 54 q^{38} + 54 q^{40} + 12 q^{41} + 24 q^{42} + 48 q^{43} + 12 q^{45} - 36 q^{46} - 24 q^{47} + 60 q^{48} + 126 q^{50} - 96 q^{51} - 30 q^{53} + 18 q^{55} - 66 q^{57} + 120 q^{58} + 84 q^{60} - 48 q^{61} + 60 q^{62} - 126 q^{63} + 72 q^{65} + 72 q^{66} + 108 q^{67} + 18 q^{68} + 36 q^{70} - 24 q^{71} + 48 q^{72} + 6 q^{73} + 60 q^{76} + 168 q^{77} - 138 q^{78} - 60 q^{80} - 120 q^{81} + 60 q^{82} - 36 q^{85} - 180 q^{86} - 6 q^{87} - 198 q^{88} - 270 q^{90} - 24 q^{91} - 72 q^{92} - 90 q^{93} - 24 q^{95} - 192 q^{96} - 72 q^{97} - 90 q^{98}+O(q^{100}) $ 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8 - 12 * q^10 - 12 * q^11 - 18 * q^12 - 12 * q^13 + 6 * q^15 + 12 * q^16 - 30 * q^17 - 84 * q^20 + 24 * q^21 - 24 * q^22 + 12 * q^25 - 48 * q^26 - 18 * q^27 - 6 * q^30 - 36 * q^31 + 18 * q^32 + 90 * q^33 - 30 * q^35 + 24 * q^36 + 54 * q^38 + 54 * q^40 + 12 * q^41 + 24 * q^42 + 48 * q^43 + 12 * q^45 - 36 * q^46 - 24 * q^47 + 60 * q^48 + 126 * q^50 - 96 * q^51 - 30 * q^53 + 18 * q^55 - 66 * q^57 + 120 * q^58 + 84 * q^60 - 48 * q^61 + 60 * q^62 - 126 * q^63 + 72 * q^65 + 72 * q^66 + 108 * q^67 + 18 * q^68 + 36 * q^70 - 24 * q^71 + 48 * q^72 + 6 * q^73 + 60 * q^76 + 168 * q^77 - 138 * q^78 - 60 * q^80 - 120 * q^81 + 60 * q^82 - 36 * q^85 - 180 * q^86 - 6 * q^87 - 198 * q^88 - 270 * q^90 - 24 * q^91 - 72 * q^92 - 90 * q^93 - 24 * q^95 - 192 * q^96 - 72 * q^97 - 90 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	0.833123	−	0.583359i	0.589107	−	0.412497i	−0.240658	−	0.970610i	$-0.577363\pi$
$2$	0.833123	−	0.583359i	0.589107	−	0.412497i	0.829765	+	0.558113i	$0.188474\pi$
$3$	1.77397	−	0.155202i	1.02420	−	0.0896061i	0.437343	−	0.899295i	$-0.355920\pi$
$3$	1.77397	−	0.155202i	1.02420	−	0.0896061i	0.586860	+	0.809689i	$0.300364\pi$
$4$	−0.330254	+	0.907365i	−0.165127	+	0.453682i
$5$	−1.54755	−	1.61403i	−0.692085	−	0.721816i
$5$	−1.54755	−	1.61403i	−0.692085	−	0.721816i
$6$	1.38740	−	1.16417i	0.566403	−	0.475269i
$7$	−0.999898	−	0.267922i	−0.377926	−	0.101265i	0.0648553	−	0.997895i	$-0.479341\pi$
$7$	−0.999898	−	0.267922i	−0.377926	−	0.101265i	−0.442781	+	0.896630i	$0.646008\pi$
$8$	0.780644	+	2.91340i	0.275999	+	1.03004i
$9$	0.168464	−	0.0297048i	0.0561547	−	0.00990159i
$10$	−2.23086	−	0.441910i	−0.705459	−	0.139744i
$11$	−1.66191	+	2.87852i	−0.501085	+	0.867905i	0.498914	+	0.866652i	$0.333732\pi$
$11$	−1.66191	+	2.87852i	−0.501085	+	0.867905i	−0.999999	+	0.00125358i	$0.999601\pi$
$12$	−0.445036	+	1.66090i	−0.128471	+	0.479459i
$13$	0.517781	−	5.91827i	0.143607	−	1.64143i	−0.492846	−	0.870117i	$-0.664043\pi$
$13$	0.517781	−	5.91827i	0.143607	−	1.64143i	0.636452	−	0.771316i	$-0.280401\pi$
$14$	−0.989333	+	0.360088i	−0.264410	+	0.0962375i
$15$	−2.99581	−	2.62306i	−0.773514	−	0.677271i
$16$	0.870554	+	0.730481i	0.217638	+	0.182620i
$17$	2.65961	+	3.79832i	0.645051	+	0.921228i	0.999906	−	0.0136934i	$-0.00435888\pi$
$17$	2.65961	+	3.79832i	0.645051	+	0.921228i	−0.354856	+	0.934921i	$0.615470\pi$
$18$	0.123023	−	0.123023i	0.0289968	−	0.0289968i
$19$	−1.24956	−	4.17596i	−0.286669	−	0.958030i
$19$	−1.24956	−	4.17596i	−0.286669	−	0.958030i
$20$	1.97560	−	0.871151i	0.441757	−	0.194795i
$21$	−1.81537	−	0.320099i	−0.396147	−	0.0698513i
$22$	0.294631	+	3.36765i	0.0628156	+	0.717985i
$23$	1.82863	+	3.92151i	0.381296	+	0.817692i	0.999498	+	0.0316730i	$0.0100835\pi$
$23$	1.82863	+	3.92151i	0.381296	+	0.817692i	−0.618202	+	0.786019i	$0.712139\pi$
$24$	1.83701	+	5.04714i	0.374978	+	1.03024i
$25$	−0.210188	+	4.99558i	−0.0420376	+	0.999116i
$26$	−3.02110	−	5.23270i	−0.592487	−	1.02622i
$27$	−4.86597	+	1.30383i	−0.936457	+	0.250923i
$28$	0.573323	−	0.818790i	0.108348	−	0.154737i
$29$	−0.428530	−	2.43031i	−0.0795760	−	0.451298i	−0.998396	−	0.0566205i	$-0.981967\pi$
$29$	−0.428530	−	2.43031i	−0.0795760	−	0.451298i	0.918820	−	0.394677i	$-0.129144\pi$
$30$	−4.02606	−	0.437701i	−0.735056	−	0.0799129i
$31$	4.83826	−	2.79337i	0.868978	−	0.501705i	0.00196939	−	0.999998i	$-0.499373\pi$
$31$	4.83826	−	2.79337i	0.868978	−	0.501705i	0.867008	+	0.498293i	$0.166040\pi$
$32$	−4.85799	−	0.425019i	−0.858779	−	0.0751335i
$33$	−2.50143	+	5.36434i	−0.435443	+	0.933811i
$34$	4.43157	+	1.61296i	0.760008	+	0.276620i
$35$	1.11496	+	2.02849i	0.188462	+	0.342877i
$36$	−0.0286828	+	0.162668i	−0.00478047	+	0.0271114i
$37$	1.04483	+	1.04483i	0.171769	+	0.171769i	0.787756	−	0.615987i	$-0.211243\pi$
$37$	1.04483	+	1.04483i	0.171769	+	0.171769i	−0.615987	+	0.787756i	$0.711243\pi$
$38$	−3.47712	−	2.75014i	−0.564063	−	0.446132i
$39$		−	10.5792i		−	1.69403i
$40$	3.49424	−	5.76862i	0.552488	−	0.912099i
$41$	3.37025	−	4.01651i	0.526345	−	0.627274i	−0.435724	−	0.900080i	$-0.643508\pi$
$41$	3.37025	−	4.01651i	0.526345	−	0.627274i	0.962069	+	0.272807i	$0.0879520\pi$
$42$	−1.69916	+	0.792332i	−0.262186	+	0.122260i
$43$	4.42658	+	2.06415i	0.675047	+	0.314780i	0.729741	−	0.683723i	$-0.239641\pi$
$43$	4.42658	+	2.06415i	0.675047	+	0.314780i	−0.0546939	+	0.998503i	$0.517418\pi$
$44$	−2.06301	−	2.45860i	−0.311011	−	0.370648i
$45$	−0.308651	−	0.225937i	−0.0460109	−	0.0336806i
$46$	3.81113	+	2.20036i	0.561920	+	0.324425i
$47$	3.72311	+	2.60695i	0.543072	+	0.380263i	0.812683	−	0.582706i	$-0.198006\pi$
$47$	3.72311	+	2.60695i	0.543072	+	0.380263i	−0.269611	+	0.962969i	$0.586895\pi$
$48$	1.65771	+	1.16074i	0.239270	+	0.167539i
$49$	−5.13416	−	2.96421i	−0.733452	−	0.423459i
$50$	2.73911	+	4.28455i	0.387368	+	0.605927i
$51$	5.30758	+	6.32533i	0.743210	+	0.885724i
$52$	5.19903	+	2.42435i	0.720976	+	0.336196i
$53$	3.89220	−	1.81496i	0.534635	−	0.249304i	−0.136499	−	0.990640i	$-0.543585\pi$
$53$	3.89220	−	1.81496i	0.534635	−	0.249304i	0.671134	+	0.741336i	$0.265807\pi$
$54$	−3.29335	+	3.92486i	−0.448168	+	0.534106i
$55$	7.21790	−	1.77227i	0.973261	−	0.238972i
$56$		−	3.12226i		−	0.417229i
$57$	−2.86480	−	7.21409i	−0.379452	−	0.955530i
$58$	−1.77476	−	1.77476i	−0.233038	−	0.233038i
$59$	0.296059	−	1.67903i	0.0385436	−	0.218592i	−0.959452	−	0.281871i	$-0.909045\pi$
$59$	0.296059	−	1.67903i	0.0385436	−	0.218592i	0.997996	+	0.0632797i	$0.0201560\pi$
$60$	3.36945	−	1.85201i	0.434994	−	0.239094i
$61$	−8.16707	−	2.97257i	−1.04569	−	0.380599i	−0.238653	−	0.971105i	$-0.576706\pi$
$61$	−8.16707	−	2.97257i	−1.04569	−	0.380599i	−0.807033	+	0.590506i	$0.798928\pi$
$62$	2.40133	−	5.14967i	0.304969	−	0.654009i
$63$	−0.176405	−	0.0154335i	−0.0222250	−	0.00194443i
$64$	−6.26359	+	3.61629i	−0.782949	+	0.452036i
$65$	−10.3536	+	8.32309i	−1.28420	+	1.03235i
$66$	1.04533	+	5.92839i	0.128672	+	0.729734i
$67$	1.52679	−	2.18049i	0.186528	−	0.266389i	−0.714987	−	0.699138i	$-0.753567\pi$
$67$	1.52679	−	2.18049i	0.186528	−	0.266389i	0.901515	+	0.432749i	$0.142456\pi$
$68$	−4.32481	+	1.15883i	−0.524460	+	0.140529i
$69$	3.85257	+	6.67285i	0.463795	+	0.803316i
$70$	2.11223	+	1.03956i	0.252460	+	0.124251i
$71$	−1.88900	−	5.18999i	−0.224183	−	0.615939i	0.775702	−	0.631100i	$-0.217396\pi$
$71$	−1.88900	−	5.18999i	−0.224183	−	0.615939i	−0.999885	+	0.0151608i	$0.995174\pi$
$72$	0.218053	+	0.467615i	0.0256977	+	0.0551090i
$73$	−0.524621	−	5.99644i	−0.0614022	−	0.701830i	−0.963044	−	0.269346i	$-0.913193\pi$
$73$	−0.524621	−	5.99644i	−0.0614022	−	0.701830i	0.901641	−	0.432485i	$-0.142363\pi$
$74$	1.47998	+	0.260961i	0.172044	+	0.0303360i
$75$	0.402459	+	8.89464i	0.0464719	+	1.02706i
$76$	4.20179	+	0.245319i	0.481978	+	0.0281400i
$77$	2.43296	−	2.43296i	0.277261	−	0.277261i
$78$	−6.17148	−	8.81378i	−0.698782	−	0.997964i
$79$	11.5670	+	9.70584i	1.30139	+	1.09199i	0.989904	+	0.141740i	$0.0452697\pi$
$79$	11.5670	+	9.70584i	1.30139	+	1.09199i	0.311482	+	0.950252i	$0.399175\pi$
$80$	−0.168205	−	2.53556i	−0.0188059	−	0.283484i
$81$	−8.91198	+	3.24369i	−0.990220	+	0.360410i
$82$	0.464768	−	5.31232i	0.0513250	−	0.586647i
$83$	−3.37701	+	12.6032i	−0.370675	+	1.38338i	0.488887	+	0.872347i	$0.337403\pi$
$83$	−3.37701	+	12.6032i	−0.370675	+	1.38338i	−0.859562	+	0.511032i	$0.829264\pi$
$84$	0.889980	−	1.54149i	0.0971048	−	0.168190i
$85$	2.01472	−	10.1708i	0.218528	−	1.10318i
$86$	4.89203	−	0.862597i	0.527521	−	0.0930162i
$87$	−1.13739	−	4.24480i	−0.121941	−	0.455090i
$88$	−9.68364	−	2.59472i	−1.03228	−	0.276599i
$89$	−7.03565	+	5.90361i	−0.745777	+	0.625781i	−0.934382	−	0.356272i	$-0.884048\pi$
$89$	−7.03565	+	5.90361i	−0.745777	+	0.625781i	0.188605	+	0.982053i	$0.439603\pi$
$90$	−0.388946	−	0.00817880i	−0.0409985	−	0.000862121i
$91$	−2.10336	+	5.77894i	−0.220492	+	0.605797i
$92$	−4.16216	+	0.364141i	−0.433935	+	0.0379644i
$93$	8.14940	−	5.70627i	0.845054	−	0.591713i
$94$	4.62260			0.476785
$95$	−4.80637	+	8.47932i	−0.493123	+	0.869960i
$96$	−8.68390			−0.886297
$97$	−1.60233	+	1.12196i	−0.162692	+	0.113918i	−0.652087	−	0.758144i	$-0.726106\pi$
$97$	−1.60233	+	1.12196i	−0.162692	+	0.113918i	0.489395	+	0.872062i	$0.337218\pi$
$98$	−6.00659	+	0.525509i	−0.606758	+	0.0530844i
$99$	−0.194467	+	0.534293i	−0.0195447	+	0.0536985i
$100$	−4.46340	−	1.84053i	−0.446340	−	0.184053i
$101$	−13.8692	+	11.6377i	−1.38004	+	1.15799i	−0.410841	+	0.911707i	$0.634765\pi$
$101$	−13.8692	+	11.6377i	−1.38004	+	1.15799i	−0.969198	+	0.246283i	$0.920791\pi$
$102$	8.11181	+	2.17355i	0.803189	+	0.215214i
$103$	0.820195	+	3.06101i	0.0808162	+	0.301610i	0.994489	−	0.104840i	$-0.0334331\pi$
$103$	0.820195	+	3.06101i	0.0808162	+	0.301610i	−0.913673	+	0.406450i	$0.866766\pi$
$104$	17.6465	−	3.11156i	1.73038	−	0.305113i
$105$	2.29273	+	3.42543i	0.223747	+	0.334288i
$106$	2.18391	−	3.78264i	0.212120	−	0.367403i
$107$	1.82567	−	6.81351i	0.176494	−	0.658686i	−0.819798	−	0.572653i	$-0.805914\pi$
$107$	1.82567	−	6.81351i	0.176494	−	0.658686i	0.996292	−	0.0860333i	$-0.0274191\pi$
$108$	0.423953	−	4.84581i	0.0407949	−	0.466288i
$109$	−16.3972	+	5.96810i	−1.57057	+	0.571641i	−0.973127	−	0.230270i	$-0.926039\pi$
$109$	−16.3972	+	5.96810i	−1.57057	+	0.571641i	−0.597443	+	0.801911i	$0.703817\pi$
$110$	4.97953	−	5.68715i	0.474780	−	0.542248i
$111$	2.01566	+	1.69134i	0.191318	+	0.160534i
$112$	−0.674753	−	0.963647i	−0.0637581	−	0.0910561i
$113$	−8.97083	+	8.97083i	−0.843905	+	0.843905i	−0.989364	−	0.145460i	$-0.953534\pi$
$113$	−8.97083	+	8.97083i	−0.843905	+	0.843905i	0.145460	+	0.989364i	$0.453534\pi$
$114$	−6.59514	−	4.33902i	−0.617691	−	0.406386i
$115$	3.49955	−	9.02020i	0.326334	−	0.841138i
$116$	2.34670	+	0.413787i	0.217886	+	0.0384192i
$117$	−0.0885732	−	1.01240i	−0.00818860	−	0.0935961i
$118$	−0.732826	−	1.57155i	−0.0674621	−	0.144673i
$119$	−1.64169	−	4.51050i	−0.150493	−	0.413477i
$120$	5.30338	−	10.7757i	0.484130	−	0.983680i
$121$	−0.0239013	−	0.0413982i	−0.00217284	−	0.00376347i
$122$	−8.53826	+	2.28782i	−0.773018	+	0.207129i
$123$	5.35536	−	7.64825i	0.482877	−	0.689619i
$124$	0.936753	+	5.31259i	0.0841229	+	0.477085i
$125$	8.38829	−	7.39165i	0.750272	−	0.661129i
$126$	−0.155971	+	0.0900497i	−0.0138950	+	0.00802227i
$127$	6.20675	+	0.543020i	0.550760	+	0.0481853i	0.359140	−	0.933284i	$-0.383070\pi$
$127$	6.20675	+	0.543020i	0.550760	+	0.0481853i	0.191620	+	0.981469i	$0.438626\pi$
$128$	1.01308	−	2.17256i	0.0895448	−	0.192029i
$129$	8.17299	+	2.97473i	0.719592	+	0.261910i
$130$	−3.77044	+	12.9740i	−0.330689	+	1.13790i
$131$	0.686464	−	3.89313i	0.0599767	−	0.340145i	−0.940023	−	0.341111i	$-0.889197\pi$
$131$	0.686464	−	3.89313i	0.0599767	−	0.340145i	1.00000		0.000966856i	$0.000307760\pi$
$132$	−4.04130	−	4.04130i	−0.351750	−	0.351750i
$133$	0.130602	+	4.51031i	0.0113246	+	0.391094i
$134$		−	2.70729i		−	0.233874i
$135$	9.63475	+	5.83608i	0.829227	+	0.502290i
$136$	−8.98983	+	10.7137i	−0.770871	+	0.918689i
$137$	4.29584	−	2.00318i	0.367018	−	0.171143i	−0.230355	−	0.973107i	$-0.573989\pi$
$137$	4.29584	−	2.00318i	0.367018	−	0.171143i	0.597373	+	0.801963i	$0.296211\pi$
$138$	7.10233	+	3.31187i	0.604591	+	0.281925i
$139$	4.85295	+	5.78352i	0.411622	+	0.490552i	0.931527	−	0.363672i	$-0.118477\pi$
$139$	4.85295	+	5.78352i	0.411622	+	0.490552i	−0.519905	+	0.854224i	$0.674033\pi$
$140$	−2.20880	+	0.341756i	−0.186677	+	0.0288837i
$141$	7.00930	+	4.04682i	0.590290	+	0.340804i
$142$	−4.60140	−	3.22194i	−0.386141	−	0.270379i
$143$	16.1753	+	11.3261i	1.35265	+	0.947135i
$144$	0.168356	+	0.0972003i	0.0140297	+	0.00810002i
$145$	−3.25943	+	4.45269i	−0.270681	+	0.369776i
$146$	−3.93515	−	4.68973i	−0.325676	−	0.388125i
$147$	−9.56791	−	4.46159i	−0.789148	−	0.367986i
$148$	−1.29310	+	0.602982i	−0.106292	+	0.0495648i
$149$	12.2042	−	14.5444i	0.999810	−	1.19153i	0.0183552	−	0.999832i	$-0.494157\pi$
$149$	12.2042	−	14.5444i	0.999810	−	1.19153i	0.981455	−	0.191695i	$-0.0613985\pi$
$150$	5.52407	+	7.17555i	0.451038	+	0.585882i
$151$		−	14.5822i		−	1.18668i	−0.804951	−	0.593341i	$-0.797809\pi$
$151$		−	14.5822i		−	1.18668i	0.804951	−	0.593341i	$-0.202191\pi$
$152$	11.1908	−	6.90041i	0.907693	−	0.559697i
$153$	0.560877	+	0.560877i	0.0453442	+	0.0453442i
$154$	0.607666	−	3.44624i	0.0489671	−	0.277706i
$155$	−11.9960	−	3.48622i	−0.963545	−	0.280020i
$156$	9.59919	+	3.49382i	0.768551	+	0.279730i
$157$	7.52392	−	16.1351i	0.600474	−	1.28772i	−0.337601	−	0.941289i	$-0.609615\pi$
$157$	7.52392	−	16.1351i	0.600474	−	1.28772i	0.938075	−	0.346432i	$-0.112607\pi$
$158$	15.2987	+	1.33846i	1.21710	+	0.106482i
$159$	6.62297	−	3.82377i	0.525236	−	0.303245i
$160$	6.83198	+	8.49868i	0.540115	+	0.671880i
$161$	−0.777786	−	4.41104i	−0.0612981	−	0.347639i
$162$	−5.53254	+	7.90128i	−0.434677	+	0.620783i
$163$	−8.51870	+	2.28258i	−0.667236	+	0.178785i	−0.576509	−	0.817090i	$-0.695586\pi$
$163$	−8.51870	+	2.28258i	−0.667236	+	0.178785i	−0.0907266	+	0.995876i	$0.528919\pi$
$164$	2.53140	+	4.38452i	0.197669	+	0.342373i
$165$	12.5293	−	4.26419i	0.975404	−	0.331966i
$166$	4.53872	+	12.4700i	0.352273	+	0.967861i
$167$	5.69460	+	12.2121i	0.440661	+	0.945001i	0.993724	+	0.111861i	$0.0356813\pi$
$167$	5.69460	+	12.2121i	0.440661	+	0.945001i	−0.553063	+	0.833140i	$0.686541\pi$
$168$	−0.484582	−	5.53880i	−0.0373863	−	0.427327i
$169$	−21.9553	−	3.87131i	−1.68887	−	0.297793i
$170$	−4.25470	−	9.64882i	−0.326321	−	0.740031i
$171$	−0.334552	−	0.666381i	−0.0255838	−	0.0509594i
$172$	−3.33483	+	3.33483i	−0.254278	+	0.254278i
$173$	−10.3492	−	14.7802i	−0.786836	−	1.12372i	−0.989509	−	0.144472i	$-0.953852\pi$
$173$	−10.3492	−	14.7802i	−0.786836	−	1.12372i	0.202672	−	0.979247i	$-0.435037\pi$
$174$	−3.42383	−	2.87293i	−0.259560	−	0.217797i
$175$	1.54859	−	4.93875i	0.117062	−	0.373335i
$176$	−3.54949	+	1.29191i	−0.267553	+	0.0973812i
$177$	0.264610	−	3.02451i	0.0198893	−	0.227336i
$178$	−2.41764	+	9.02274i	−0.181210	+	0.676283i
$179$	3.32626	−	5.76125i	0.248616	−	0.430616i	−0.714526	−	0.699609i	$-0.753357\pi$
$179$	3.32626	−	5.76125i	0.248616	−	0.430616i	0.963142	+	0.268993i	$0.0866908\pi$
$180$	0.306940	−	0.205442i	0.0228780	−	0.0153128i
$181$	−9.90041	+	1.74571i	−0.735892	+	0.129758i	−0.529019	−	0.848610i	$-0.677440\pi$
$181$	−9.90041	+	1.74571i	−0.735892	+	0.129758i	−0.206873	+	0.978368i	$0.566329\pi$
$182$	1.61884	+	6.04158i	0.119996	+	0.447832i
$183$	−14.9495	−	4.00571i	−1.10510	−	0.296111i
$184$	−9.99744	+	8.38885i	−0.737021	+	0.618434i
$185$	0.0694622	−	3.30331i	0.00510696	−	0.242864i
$186$	3.46065	−	9.50806i	0.253747	−	0.697165i
$187$	−15.3536	+	1.34326i	−1.12276	+	0.0982291i
$188$	−3.59503	+	2.51727i	−0.262194	+	0.183590i
$189$	5.21480			0.379321
$190$	0.942194	+	9.86816i	0.0683540	+	0.715911i
$191$	−20.5891			−1.48978			−0.744889	−	0.667189i	$-0.767497\pi$
$191$	−20.5891			−1.48978			−0.744889	+	0.667189i	$0.767497\pi$
$192$	−10.5502	+	7.38732i	−0.761394	+	0.533134i
$193$	12.0252	−	1.05206i	0.865589	−	0.0757293i	0.354294	−	0.935134i	$-0.384721\pi$
$193$	12.0252	−	1.05206i	0.865589	−	0.0757293i	0.511296	+	0.859405i	$0.329166\pi$
$194$	−0.680431	+	1.86947i	−0.0488521	+	0.134220i
$195$	−17.0752	+	16.3718i	−1.22278	+	1.17241i
$196$	4.38520	−	3.67962i	0.313228	−	0.262830i
$197$	11.3692	+	3.04637i	0.810022	+	0.217045i	0.639980	−	0.768392i	$-0.278943\pi$
$197$	11.3692	+	3.04637i	0.810022	+	0.217045i	0.170043	+	0.985437i	$0.445609\pi$
$198$	0.149670	+	0.558576i	0.0106366	+	0.0396963i
$199$	−11.6097	+	2.04710i	−0.822987	+	0.145115i	−0.569256	−	0.822160i	$-0.692769\pi$
$199$	−11.6097	+	2.04710i	−0.822987	+	0.145115i	−0.253731	+	0.967275i	$0.581658\pi$
$200$	−14.7182	+	3.28741i	−1.04074	+	0.232455i
$201$	2.37007	−	4.10509i	0.167172	−	0.289551i
$202$	−4.76584	+	17.7863i	−0.335323	+	1.25144i
$203$	−0.222648	+	2.54488i	−0.0156268	+	0.178615i
$204$	−7.49223	+	2.72695i	−0.524561	+	0.190925i
$205$	−11.6984	+	0.776055i	−0.817052	+	0.0542020i
$206$	2.46899	+	2.07173i	0.172023	+	0.144344i
$207$	0.424546	+	0.606315i	0.0295080	+	0.0421418i
$208$	4.77394	−	4.77394i	0.331013	−	0.331013i
$209$	14.0972	+	3.34319i	0.975124	+	0.231254i
$210$	3.90838	+	1.51633i	0.269704	+	0.104636i
$211$	17.9017	+	3.15655i	1.23240	+	0.217306i	0.751658	−	0.659553i	$-0.229255\pi$
$211$	17.9017	+	3.15655i	1.23240	+	0.217306i	0.480747	+	0.876859i	$0.340366\pi$
$212$	0.361420	+	4.13105i	0.0248224	+	0.283721i
$213$	−4.15654	−	8.91372i	−0.284801	−	0.610758i
$214$	−2.45371	−	6.74151i	−0.167732	−	0.460840i
$215$	−3.51875	−	10.3390i	−0.239977	−	0.705114i
$216$	−7.59719	−	13.1587i	−0.516923	−	0.895337i
$217$	−5.58617	+	1.49681i	−0.379214	+	0.101610i
$218$	−10.1794	+	14.5376i	−0.689434	+	0.984614i
$219$	−1.86132	−	10.5561i	−0.125777	−	0.713315i
$220$	−0.775647	+	7.13457i	−0.0522941	+	0.481012i
$221$	23.8566	−	13.7736i	1.60477	−	0.926513i
$222$	2.66595	+	0.233240i	0.178927	+	0.0156540i
$223$	6.22805	−	13.3561i	0.417061	−	0.894391i	−0.579765	−	0.814784i	$-0.696856\pi$
$223$	6.22805	−	13.3561i	0.417061	−	0.894391i	0.996826	−	0.0796069i	$-0.0253665\pi$
$224$	4.74362	+	1.72654i	0.316946	+	0.115359i
$225$	0.112983	+	0.847820i	0.00753223	+	0.0565213i
$226$	−2.24059	+	12.7070i	−0.149042	+	0.845259i
$227$	8.49311	+	8.49311i	0.563707	+	0.563707i	0.930359	−	0.366651i	$-0.119496\pi$
$227$	8.49311	+	8.49311i	0.563707	+	0.563707i	−0.366651	+	0.930359i	$0.619496\pi$
$228$	7.49192	−	0.216939i	0.496165	−	0.0143671i
$229$			8.09795i			0.535128i	0.963540	+	0.267564i	$0.0862186\pi$
$229$			8.09795i			0.535128i	−0.963540	+	0.267564i	$0.913781\pi$
$230$	−2.34646	−	9.55643i	−0.154721	−	0.630132i
$231$	3.93840	−	4.69360i	0.259128	−	0.308816i
$232$	6.74596	−	3.14569i	0.442894	−	0.206525i
$233$	5.13019	+	2.39225i	0.336090	+	0.156721i	0.583335	−	0.812232i	$-0.301747\pi$
$233$	5.13019	+	2.39225i	0.336090	+	0.156721i	−0.247245	+	0.968953i	$0.579525\pi$
$234$	−0.664383	−	0.791781i	−0.0434321	−	0.0517604i
$235$	−1.55400	−	10.0436i	−0.101372	−	0.655172i
$236$	1.42572	+	0.823140i	0.0928065	+	0.0535819i
$237$	22.0258	+	15.4227i	1.43073	+	1.00181i
$238$	−3.99897	−	2.80011i	−0.259215	−	0.181504i
$239$	−16.8696	−	9.73968i	−1.09120	−	0.630007i	−0.157308	−	0.987550i	$-0.550282\pi$
$239$	−16.8696	−	9.73968i	−1.09120	−	0.630007i	−0.933897	+	0.357542i	$0.883615\pi$
$240$	−0.691915	−	4.47190i	−0.0446629	−	0.288660i
$241$	8.39374	+	10.0033i	0.540688	+	0.644367i	0.965342	−	0.260989i	$-0.0840485\pi$
$241$	8.39374	+	10.0033i	0.540688	+	0.644367i	−0.424653	+	0.905356i	$0.639604\pi$
$242$	−0.0440627	−	0.0205468i	−0.00283246	−	0.00132080i
$243$	−1.60925	+	0.750405i	−0.103233	+	0.0481385i
$244$	5.39441	−	6.42881i	0.345342	−	0.411563i
$245$	3.16104	+	12.8740i	0.201952	+	0.822487i
$246$		−	9.49603i		−	0.605445i
$247$	−25.3614	+	5.23300i	−1.61371	+	0.332968i
$248$	11.9152	+	11.9152i	0.756615	+	0.756615i
$249$	−4.03468	+	22.8818i	−0.255687	+	1.45008i
$250$	2.67650	−	11.0515i	0.169276	−	0.698961i
$251$	18.4927	+	6.73079i	1.16725	+	0.424843i	0.851681	−	0.524060i	$-0.175583\pi$
$251$	18.4927	+	6.73079i	1.16725	+	0.424843i	0.315566	+	0.948903i	$0.397805\pi$
$252$	0.0722623	−	0.154967i	0.00455210	−	0.00976201i
$253$	−14.3272	−	1.25346i	−0.900741	−	0.0788046i
$254$	5.48777	−	3.16836i	0.344333	−	0.198801i
$255$	1.99554	−	18.3554i	0.124965	−	1.14946i
$256$	−2.93521	−	16.6464i	−0.183451	−	1.04040i
$257$	3.89010	−	5.55564i	0.242658	−	0.346552i	−0.679287	−	0.733873i	$-0.737711\pi$
$257$	3.89010	−	5.55564i	0.242658	−	0.346552i	0.921945	+	0.387321i	$0.126600\pi$
$258$	8.54444	−	2.28948i	0.531954	−	0.142537i
$259$	−0.764789	−	1.32465i	−0.0475217	−	0.0823099i
$260$	−4.13278	−	12.1432i	−0.256304	−	0.753088i
$261$	−0.144384	−	0.396691i	−0.00893713	−	0.0245546i
$262$	−1.69919	−	3.64392i	−0.104976	−	0.225122i
$263$	0.827122	+	9.45405i	0.0510026	+	0.582962i	0.978099	+	0.208139i	$0.0667408\pi$
$263$	0.827122	+	9.45405i	0.0510026	+	0.582962i	−0.927097	+	0.374822i	$0.877704\pi$
$264$	−17.5812	−	3.10004i	−1.08205	−	0.190794i
$265$	−8.95278	−	3.47339i	−0.549965	−	0.213369i
$266$	2.73994	+	3.68146i	0.167996	+	0.225725i
$267$	−11.5648	+	11.5648i	−0.707753	+	0.707753i
$268$	1.47427	+	2.10547i	0.0900553	+	0.128612i
$269$	3.09820	+	2.59970i	0.188901	+	0.158507i	0.732333	−	0.680946i	$-0.238431\pi$
$269$	3.09820	+	2.59970i	0.188901	+	0.158507i	−0.543433	+	0.839453i	$0.682876\pi$
$270$	11.4315	−	0.758347i	0.695697	−	0.0461515i
$271$	19.8616	−	7.22905i	1.20651	−	0.439133i	0.341018	−	0.940057i	$-0.389228\pi$
$271$	19.8616	−	7.22905i	1.20651	−	0.439133i	0.865492	+	0.500923i	$0.167006\pi$
$272$	−0.459266	+	5.24944i	−0.0278471	+	0.318294i
$273$	−2.83440	+	10.5781i	−0.171546	+	0.640217i
$274$	2.41039	−	4.17491i	0.145617	−	0.252216i
$275$	−14.0305	−	8.90724i	−0.846073	−	0.537127i
$276$	−7.32703	+	1.29195i	−0.441035	+	0.0777664i
$277$	0.633994	+	2.36610i	0.0380930	+	0.142165i	0.982353	−	0.187035i	$-0.0598877\pi$
$277$	0.633994	+	2.36610i	0.0380930	+	0.142165i	−0.944260	+	0.329200i	$0.893221\pi$
$278$	7.41698	+	1.98737i	0.444841	+	0.119195i
$279$	0.732097	−	0.614303i	0.0438295	−	0.0367773i
$280$	−5.03942	+	4.83184i	−0.301163	+	0.288758i
$281$	−2.17410	+	5.97329i	−0.129696	+	0.356337i	−0.987495	−	0.157648i	$-0.949609\pi$
$281$	−2.17410	+	5.97329i	−0.129696	+	0.356337i	0.857799	+	0.513985i	$0.171831\pi$
$282$	8.20036	−	0.717439i	0.488325	−	0.0427229i
$283$	23.1725	−	16.2256i	1.37746	−	0.964509i	0.378215	−	0.925718i	$-0.376538\pi$
$283$	23.1725	−	16.2256i	1.37746	−	0.964509i	0.999247	−	0.0387916i	$-0.0123509\pi$
$284$	5.33307			0.316459
$285$	−7.21034	+	15.7880i	−0.427104	+	0.935202i
$286$	20.0832			1.18755
$287$	−4.44602	+	3.11314i	−0.262440	+	0.183763i
$288$	−0.831022	+	0.0727050i	−0.0489684	+	0.00428418i
$289$	−1.53935	+	4.22933i	−0.0905501	+	0.248784i
$290$	−0.117990	+	5.61106i	−0.00692860	+	0.329493i
$291$	−2.66836	+	2.23902i	−0.156422	+	0.131253i
$292$	5.61422	+	1.50432i	0.328547	+	0.0880339i
$293$	−4.14855	−	15.4826i	−0.242361	−	0.904502i	−0.974692	−	0.223553i	$-0.928234\pi$
$293$	−4.14855	−	15.4826i	−0.242361	−	0.904502i	0.732331	−	0.680949i	$-0.238432\pi$
$294$	−10.5740	+	1.86448i	−0.616686	+	0.108738i
$295$	−3.16818	+	2.12054i	−0.184458	+	0.123462i
$296$	−2.22837	+	3.85965i	−0.129521	+	0.224337i
$297$	4.33371	−	16.1736i	0.251467	−	0.938489i
$298$	1.68300	−	19.2368i	0.0974935	−	1.11436i
$299$	24.1554	−	8.79185i	1.39694	−	0.508446i
$300$	−8.20359	−	2.57231i	−0.473635	−	0.148512i
$301$	−3.87310	−	3.24991i	−0.223242	−	0.187322i
$302$	−8.50666	−	12.1488i	−0.489503	−	0.699083i
$303$	−22.7974	+	22.7974i	−1.30968	+	1.30968i
$304$	1.96265	−	4.54817i	0.112566	−	0.260856i
$305$	7.84112	+	17.7821i	0.448981	+	1.01820i
$306$	0.794473	+	0.140087i	0.0454170	+	0.00800824i
$307$	−0.510948	−	5.84016i	−0.0291613	−	0.333316i	−0.996736	−	0.0807303i	$-0.974275\pi$
$307$	−0.510948	−	5.84016i	−0.0291613	−	0.333316i	0.967575	−	0.252585i	$-0.0812808\pi$
$308$	1.40409	+	3.01107i	0.0800053	+	0.171572i
$309$	1.93008	+	5.30284i	0.109798	+	0.301668i
$310$	−12.0279	+	4.09354i	−0.683139	+	0.232498i
$311$	−10.1908	−	17.6510i	−0.577869	−	1.00090i	−0.995723	−	0.0923844i	$-0.970551\pi$
$311$	−10.1908	−	17.6510i	−0.577869	−	1.00090i	0.417854	−	0.908514i	$-0.362782\pi$
$312$	30.8215	−	8.25859i	1.74492	−	0.467551i
$313$	−14.4928	+	20.6979i	−0.819182	+	1.16991i	0.163851	+	0.986485i	$0.447609\pi$
$313$	−14.4928	+	20.6979i	−0.819182	+	1.16991i	−0.983033	+	0.183429i	$0.941280\pi$
$314$	−3.14421	−	17.8317i	−0.177438	−	1.00630i
$315$	0.248086	+	0.308608i	0.0139781	+	0.0173881i
$316$	−12.6268	+	7.29007i	−0.710311	+	0.410098i
$317$	−0.958684	−	0.0838740i	−0.0538451	−	0.00471083i	0.0602014	−	0.998186i	$-0.480826\pi$
$317$	−0.958684	−	0.0838740i	−0.0538451	−	0.00471083i	−0.114046	+	0.993475i	$0.536381\pi$
$318$	3.28712	−	7.04925i	0.184332	−	0.395302i
$319$	7.70787	+	2.80544i	0.431558	+	0.157074i
$320$	15.5300	+	4.51325i	0.868154	+	0.252298i
$321$	2.18122	−	12.3703i	0.121744	−	0.690444i
$322$	−3.22121	−	3.22121i	−0.179511	−	0.179511i
$323$	12.5383	−	15.8526i	0.697648	−	0.882065i
$324$		−	9.15765i		−	0.508759i
$325$	29.4564	+	3.83057i	1.63394	+	0.212482i
$326$	−5.76557	+	6.87113i	−0.319325	+	0.380557i
$327$	−28.1620	+	13.1321i	−1.55736	+	0.726209i
$328$	14.3327	+	6.68344i	0.791390	+	0.369031i
$329$	−3.02427	−	3.60419i	−0.166734	−	0.198705i
$330$	7.95089	−	10.8617i	0.437682	−	0.597915i
$331$	−18.6285	−	10.7552i	−1.02391	−	0.591157i	−0.108679	−	0.994077i	$-0.534662\pi$
$331$	−18.6285	−	10.7552i	−1.02391	−	0.591157i	−0.915235	+	0.402920i	$0.867995\pi$
$332$	−10.3204	−	7.22643i	−0.566406	−	0.396602i
$333$	0.207052	+	0.144980i	0.0113464	+	0.00794484i
$334$	11.8683	+	6.85219i	0.649407	+	0.374935i
$335$	−5.88216	+	0.910119i	−0.321377	+	0.0497251i
$336$	−1.34655	−	1.60476i	−0.0734605	−	0.0875468i
$337$	18.5147	+	8.63357i	1.00856	+	0.470300i	0.855437	−	0.517907i	$-0.173288\pi$
$337$	18.5147	+	8.63357i	1.00856	+	0.470300i	0.153125	+	0.988207i	$0.451066\pi$
$338$	−20.5499	+	9.58255i	−1.11776	+	0.521222i
$339$	−14.5217	+	17.3063i	−0.788711	+	0.939949i
$340$	8.56323	+	5.18703i	0.464407	+	0.281306i
$341$			18.5694i			1.00559i
$342$	−0.667462	−	0.360014i	−0.0360922	−	0.0194673i
$343$	9.46329	+	9.46329i	0.510970	+	0.510970i
$344$	−2.55811	+	14.5078i	−0.137924	+	0.782207i
$345$	4.80814	−	16.5447i	0.258861	−	0.890737i
$346$	−17.2444	−	6.27643i	−0.927062	−	0.337423i
$347$	−3.36236	+	7.21060i	−0.180501	+	0.387085i	−0.975651	−	0.219327i	$-0.929614\pi$
$347$	−3.36236	+	7.21060i	−0.180501	+	0.387085i	0.795151	+	0.606412i	$0.207392\pi$
$348$	4.22721	+	0.369833i	0.226602	+	0.0198251i
$349$	22.0101	−	12.7076i	1.17818	−	0.680220i	0.222583	−	0.974914i	$-0.428551\pi$
$349$	22.0101	−	12.7076i	1.17818	−	0.680220i	0.955592	+	0.294694i	$0.0952177\pi$
$350$	−1.59090	−	5.01798i	−0.0850372	−	0.268222i
$351$	5.19693	+	29.4732i	0.277391	+	1.57316i
$352$	9.29697	−	13.2775i	0.495530	−	0.707691i
$353$	33.5519	−	8.99020i	1.78579	−	0.478500i	0.794167	−	0.607699i	$-0.207907\pi$
$353$	33.5519	−	8.99020i	1.78579	−	0.478500i	0.991619	+	0.129199i	$0.0412407\pi$
$354$	−1.54392	−	2.67415i	−0.0820585	−	0.142129i
$355$	−5.45348	+	11.0807i	−0.289441	+	0.588101i
$356$	−3.03318	−	8.33359i	−0.160758	−	0.441679i
$357$	−3.61235	−	7.74670i	−0.191186	−	0.409999i
$358$	−0.589695	−	6.74024i	−0.0311663	−	0.356233i
$359$	−19.4816	−	3.43513i	−1.02820	−	0.181299i	−0.365990	−	0.930619i	$-0.619269\pi$
$359$	−19.4816	−	3.43513i	−1.02820	−	0.181299i	−0.662208	+	0.749320i	$0.730381\pi$
$360$	0.417298	−	1.07560i	0.0219935	−	0.0566891i
$361$	−15.8772	+	10.4362i	−0.835642	+	0.549274i
$362$	−7.22989	+	7.22989i	−0.379994	+	0.379994i
$363$	−0.0488253	−	0.0697297i	−0.00256266	−	0.00365986i
$364$	−4.54896	−	3.81703i	−0.238430	−	0.200067i
$365$	−8.86656	+	10.1265i	−0.464097	+	0.530047i
$366$	−14.7916	+	5.38369i	−0.773167	+	0.281410i
$367$	−1.35977	+	15.5422i	−0.0709792	+	0.811296i	0.874375	+	0.485251i	$0.161272\pi$
$367$	−1.35977	+	15.5422i	−0.0709792	+	0.811296i	−0.945354	+	0.326045i	$0.894284\pi$
$368$	−1.27267	+	4.74967i	−0.0663425	+	0.247594i
$369$	0.448457	−	0.776750i	0.0233457	−	0.0404360i
$370$	−1.86914	−	2.79258i	−0.0971722	−	0.145179i
$371$	−4.37807	+	0.771972i	−0.227298	+	0.0400788i
$372$	2.48630	+	9.27900i	0.128909	+	0.481094i
$373$	0.304096	+	0.0814823i	0.0157455	+	0.00421899i	0.266683	−	0.963784i	$-0.414072\pi$
$373$	0.304096	+	0.0814823i	0.0157455	+	0.00421899i	−0.250938	+	0.968003i	$0.580739\pi$
$374$	−12.0078	+	10.0757i	−0.620909	+	0.521004i
$375$	13.7334	−	14.4145i	0.709189	−	0.744360i
$376$	−4.68868	+	12.8820i	−0.241800	+	0.664340i
$377$	−14.6051	+	1.27778i	−0.752203	+	0.0658092i
$378$	4.34457	−	3.04210i	0.223461	−	0.156469i
$379$	17.2722			0.887213			0.443606	−	0.896222i	$-0.353699\pi$
$379$	17.2722			0.887213			0.443606	+	0.896222i	$0.353699\pi$
$380$	−6.10651	−	7.16145i	−0.313258	−	0.367375i
$381$	11.0949			0.568408
$382$	−17.1533	+	12.0109i	−0.877638	+	0.614529i
$383$	−15.6733	+	1.37124i	−0.800870	+	0.0700670i	−0.480240	−	0.877137i	$-0.659450\pi$
$383$	−15.6733	+	1.37124i	−0.800870	+	0.0700670i	−0.320630	+	0.947204i	$0.603895\pi$
$384$	1.45999	−	4.01130i	0.0745050	−	0.204701i
$385$	−7.69199	−	0.161748i	−0.392020	−	0.00824343i
$386$	9.40471	−	7.89148i	0.478687	−	0.401666i
$387$	0.807035	+	0.216244i	0.0410239	+	0.0109923i
$388$	−0.488854	−	1.82443i	−0.0248178	−	0.0926214i
$389$	−7.43123	+	1.31033i	−0.376778	+	0.0664362i	−0.358830	−	0.933403i	$-0.616824\pi$
$389$	−7.43123	+	1.31033i	−0.376778	+	0.0664362i	−0.0179478	+	0.999839i	$0.505713\pi$
$390$	−4.67505	+	23.6007i	−0.236730	+	1.19507i
$391$	−10.0317	+	17.3754i	−0.507325	+	0.878713i
$392$	4.62799	−	17.2719i	0.233749	−	0.872362i
$393$	0.613545	−	7.01285i	0.0309492	−	0.353751i
$394$	11.2491	−	4.09433i	0.566720	−	0.206269i
$395$	−2.23492	−	33.6897i	−0.112451	−	1.69511i
$396$	−0.420575	−	0.352905i	−0.0211347	−	0.0177341i
$397$	−15.2066	−	21.7172i	−0.763196	−	1.08996i	−0.993160	−	0.116758i	$-0.962750\pi$
$397$	−15.2066	−	21.7172i	−0.763196	−	1.08996i	0.229964	−	0.973199i	$-0.426139\pi$
$398$	−8.47809	+	8.47809i	−0.424968	+	0.424968i
$399$	0.931696	+	7.98089i	0.0466431	+	0.399544i
$400$	−3.83216	+	4.19538i	−0.191608	+	0.209769i
$401$	−19.1727	−	3.38067i	−0.957440	−	0.168822i	−0.326969	−	0.945035i	$-0.606027\pi$
$401$	−19.1727	−	3.38067i	−0.957440	−	0.168822i	−0.630471	+	0.776213i	$0.717138\pi$
$402$	−0.420177	−	4.80265i	−0.0209565	−	0.239534i
$403$	−14.0268	−	30.0805i	−0.698723	−	1.49842i
$404$	−5.97924	−	16.4278i	−0.297478	−	0.817315i
$405$	19.0271	+	9.36443i	0.945466	+	0.465322i
$406$	1.29908	+	2.25008i	0.0644725	+	0.111670i
$407$	−4.74397	+	1.27114i	−0.235150	+	0.0630082i
$408$	−14.2849	+	20.4010i	−0.707209	+	1.01000i
$409$	−3.92482	−	22.2587i	−0.194070	−	1.10062i	−0.913737	−	0.406305i	$-0.866817\pi$
$409$	−3.92482	−	22.2587i	−0.194070	−	1.10062i	0.719668	−	0.694319i	$-0.244294\pi$
$410$	−9.29349	+	7.47092i	−0.458973	+	0.368962i
$411$	7.30979	−	4.22031i	0.360565	−	0.208173i
$412$	−3.04832	−	0.266694i	−0.150180	−	0.0131391i
$413$	−0.745878	+	1.59954i	−0.0367023	+	0.0787083i
$414$	0.707399	+	0.257472i	0.0347668	+	0.0126541i
$415$	25.5680	−	14.0534i	1.25508	−	0.689856i
$416$	−5.03075	+	28.5308i	−0.246653	+	1.39884i
$417$	9.50661	+	9.50661i	0.465541	+	0.465541i
$418$	13.6950	−	5.43845i	0.669844	−	0.266003i
$419$			25.6938i			1.25522i	0.778526	+	0.627612i	$0.215968\pi$
$419$			25.6938i			1.25522i	−0.778526	+	0.627612i	$0.784032\pi$
$420$	−3.86530	+	0.949076i	−0.188607	+	0.0463102i
$421$	9.25183	−	11.0259i	0.450907	−	0.537370i	−0.491926	−	0.870637i	$-0.663707\pi$
$421$	9.25183	−	11.0259i	0.450907	−	0.537370i	0.942832	+	0.333268i	$0.108151\pi$
$422$	16.7557	−	7.81333i	0.815657	−	0.380347i
$423$	0.704650	+	0.328584i	0.0342612	+	0.0159763i
$424$	8.32615	+	9.92272i	0.404354	+	0.481890i
$425$	−19.5338	+	12.4879i	−0.947530	+	0.605754i
$426$	−8.66281	−	5.00148i	−0.419715	−	0.242322i
$427$	7.36982	+	5.16040i	0.356651	+	0.249729i
$428$	5.57940	+	3.90674i	0.269690	+	0.188839i
$429$	30.4524	+	17.5817i	1.47026	+	0.848853i
$430$	−8.96291	−	6.56097i	−0.432230	−	0.316398i
$431$	9.28382	+	11.0640i	0.447186	+	0.532935i	0.941798	−	0.336178i	$-0.109135\pi$
$431$	9.28382	+	11.0640i	0.447186	+	0.532935i	−0.494613	+	0.869114i	$0.664690\pi$
$432$	−5.18851	−	2.41944i	−0.249633	−	0.116406i
$433$	−32.9126	+	15.3474i	−1.58168	+	0.737549i	−0.997265	−	0.0739069i	$-0.976453\pi$
$433$	−32.9126	+	15.3474i	−1.58168	+	0.737549i	−0.584414	+	0.811456i	$0.698675\pi$
$434$	−3.78079	+	4.50577i	−0.181484	+	0.216284i
$435$	−5.09107	+	8.40481i	−0.244098	+	0.402980i
$436$		−	16.8493i		−	0.806933i
$437$	14.0911	−	12.5364i	0.674068	−	0.599700i
$438$	−7.70871	−	7.70871i	−0.368336	−	0.368336i
$439$	−1.14176	+	6.47522i	−0.0544931	+	0.309046i	−0.999856	−	0.0169745i	$-0.994597\pi$
$439$	−1.14176	+	6.47522i	−0.0544931	+	0.309046i	0.945363	+	0.326020i	$0.105708\pi$
$440$	10.7979	+	19.6452i	0.514772	+	0.936546i
$441$	−0.952974	−	0.346854i	−0.0453797	−	0.0165169i
$442$	11.8405	−	25.3921i	0.563196	−	1.20778i
$443$	−14.1528	−	1.23821i	−0.672419	−	0.0588290i	−0.254167	−	0.967160i	$-0.581801\pi$
$443$	−14.1528	−	1.23821i	−0.672419	−	0.0588290i	−0.418251	+	0.908331i	$0.637357\pi$
$444$	−2.20034	+	1.27036i	−0.104423	+	0.0602888i
$445$	20.4166	+	2.21963i	0.967840	+	0.105220i
$446$	−2.60267	−	14.7605i	−0.123240	−	0.698929i
$447$	19.3926	−	27.6955i	0.917240	−	1.30995i
$448$	7.23183	−	1.93776i	0.341672	−	0.0915507i
$449$	8.56920	+	14.8423i	0.404405	+	0.700451i	0.994252	−	0.107065i	$-0.0341452\pi$
$449$	8.56920	+	14.8423i	0.404405	+	0.700451i	−0.589847	+	0.807515i	$0.700812\pi$
$450$	0.588713	+	0.640428i	0.0277522	+	0.0301901i
$451$	5.96053	+	16.3764i	0.280670	+	0.771135i
$452$	−5.17716	−	11.1025i	−0.243513	−	0.522216i
$453$	−2.26319	−	25.8684i	−0.106334	−	1.21540i
$454$	12.0303	+	2.12127i	0.564612	+	0.0995563i
$455$	12.5824	−	5.54830i	0.589874	−	0.260108i
$456$	18.7812	−	13.9780i	0.879509	−	0.654578i
$457$	17.4809	−	17.4809i	0.817720	−	0.817720i	−0.168057	−	0.985777i	$-0.553749\pi$
$457$	17.4809	−	17.4809i	0.817720	−	0.817720i	0.985777	+	0.168057i	$0.0537493\pi$
$458$	4.72402	+	6.74659i	0.220739	+	0.315248i
$459$	−17.8940	−	15.0148i	−0.835219	−	0.700832i
$460$	7.02887	+	6.15432i	0.327723	+	0.286947i
$461$	−5.06159	+	1.84227i	−0.235742	+	0.0858029i	−0.457190	−	0.889369i	$-0.651144\pi$
$461$	−5.06159	+	1.84227i	−0.235742	+	0.0858029i	0.221448	+	0.975172i	$0.428922\pi$
$462$	0.543116	−	6.20785i	0.0252681	−	0.288815i
$463$	−2.37210	+	8.85279i	−0.110241	+	0.411424i	−0.998887	−	0.0471695i	$-0.984980\pi$
$463$	−2.37210	+	8.85279i	−0.110241	+	0.411424i	0.888646	+	0.458593i	$0.151647\pi$
$464$	1.40224	−	2.42875i	0.0650974	−	0.112752i
$465$	−21.8217	−	4.32265i	−1.01196	−	0.200458i
$466$	5.66962	−	0.999707i	0.262640	−	0.0463106i
$467$	−2.99593	−	11.1810i	−0.138635	−	0.517393i	−0.999956	−	0.00933251i	$-0.997029\pi$
$467$	−2.99593	−	11.1810i	−0.138635	−	0.517393i	0.861321	−	0.508060i	$-0.169637\pi$
$468$	0.947864	+	0.253980i	0.0438151	+	0.0117402i
$469$	−2.11084	+	1.77120i	−0.0974695	+	0.0817866i
$470$	−7.15370	−	7.46102i	−0.329976	−	0.344151i
$471$	10.8430	−	29.7909i	0.499620	−	1.37269i
$472$	5.12282	−	0.448189i	0.235797	−	0.0206296i
$473$	−13.2983	+	9.31155i	−0.611455	+	0.428146i
$474$	27.3472			1.25610
$475$	21.1240	−	5.36454i	0.969234	−	0.246142i
$476$	4.63484			0.212438
$477$	0.601783	−	0.421373i	0.0275538	−	0.0192934i
$478$	−19.7362	+	1.72669i	−0.902713	+	0.0789772i
$479$	−9.68869	+	26.6195i	−0.442688	+	1.21627i	0.495030	+	0.868876i	$0.335157\pi$
$479$	−9.68869	+	26.6195i	−0.442688	+	1.21627i	−0.937718	+	0.347398i	$0.887065\pi$
$480$	13.4388	+	14.0161i	0.613392	+	0.639743i
$481$	6.72457	−	5.64258i	0.306614	−	0.257280i
$482$	12.8285	+	3.43739i	0.584323	+	0.156569i
$483$	−2.06437	−	7.70435i	−0.0939323	−	0.350560i
$484$	0.0454568	−	0.00801525i	0.00206622	−	0.000364330i
$485$	4.29056	+	0.849916i	0.194825	+	0.0385927i
$486$	−0.902948	+	1.56395i	−0.0409585	+	0.0709423i
$487$	−4.81726	+	17.9782i	−0.218291	+	0.814672i	0.766691	+	0.642016i	$0.221902\pi$
$487$	−4.81726	+	17.9782i	−0.218291	+	0.814672i	−0.984982	+	0.172656i	$0.944765\pi$
$488$	2.28472	−	26.1145i	0.103425	−	1.18215i
$489$	−14.7577	+	5.37135i	−0.667365	+	0.242901i
$490$	10.1437	+	8.88157i	0.458245	+	0.401229i
$491$	4.56284	+	3.82868i	0.205918	+	0.172786i	0.739915	−	0.672701i	$-0.234866\pi$
$491$	4.56284	+	3.82868i	0.205918	+	0.172786i	−0.533996	+	0.845487i	$0.679310\pi$
$492$	5.17112	+	7.38513i	0.233132	+	0.332947i
$493$	8.09138	−	8.09138i	0.364418	−	0.364418i
$494$	−18.0765	+	19.1546i	−0.813299	+	0.861804i
$495$	1.16331	−	0.512969i	0.0522870	−	0.0230563i
$496$	6.25248	+	1.10248i	0.280744	+	0.0495028i
$497$	0.498298	+	5.69557i	0.0223517	+	0.255481i
$498$	9.98693	+	21.4170i	0.447525	+	0.959720i
$499$	3.02400	+	8.30837i	0.135373	+	0.371934i	0.988794	−	0.149289i	$-0.0476984\pi$
$499$	3.02400	+	8.30837i	0.135373	+	0.371934i	−0.853421	+	0.521222i	$0.825476\pi$
$500$	3.93666	+	10.0524i	0.176053	+	0.449555i
$501$	11.9974	+	20.7801i	0.536004	+	0.928387i
$502$	19.3332	−	5.18030i	0.862881	−	0.231208i
$503$	6.16809	−	8.80895i	0.275022	−	0.392771i	−0.657752	−	0.753235i	$-0.728492\pi$
$503$	6.16809	−	8.80895i	0.275022	−	0.392771i	0.932773	+	0.360463i	$0.117381\pi$
$504$	−0.0927459	−	0.525988i	−0.00413123	−	0.0234294i
$505$	40.2468	+	4.37550i	1.79096	+	0.194707i
$506$	−12.6675	+	7.31359i	−0.563140	+	0.325129i
$507$	−39.5489	−	3.46008i	−1.75643	−	0.153668i
$508$	−2.54252	+	5.45245i	−0.112806	+	0.241913i
$509$	−28.9428	−	10.5343i	−1.28286	−	0.466925i	−0.391486	−	0.920184i	$-0.628039\pi$
$509$	−28.9428	−	10.5343i	−1.28286	−	0.466925i	−0.891379	+	0.453259i	$0.850261\pi$
$510$	−9.04524	−	16.4564i	−0.400530	−	0.728701i
$511$	−1.08201	+	6.13638i	−0.0478653	+	0.271458i
$512$	−8.76613	−	8.76613i	−0.387412	−	0.387412i
$513$	11.5251	+	18.6909i	0.508844	+	0.825222i
$514$		−	6.89786i		−	0.304252i
$515$	3.67127	−	6.06088i	0.161775	−	0.267074i
$516$	−5.39832	+	6.43347i	−0.237648	+	0.283218i
$517$	−13.6916	+	6.38451i	−0.602157	+	0.280791i
$518$	−1.40991	−	0.657453i	−0.0619480	−	0.0288868i
$519$	−20.6531	−	24.6135i	−0.906572	−	1.08041i
$520$	−32.3310	−	23.6667i	−1.41781	−	1.03785i
$521$	−3.49893	−	2.02011i	−0.153291	−	0.0885025i	0.421393	−	0.906878i	$-0.361541\pi$
$521$	−3.49893	−	2.02011i	−0.153291	−	0.0885025i	−0.574683	+	0.818376i	$0.694875\pi$
$522$	−0.351703	−	0.246265i	−0.0153936	−	0.0107787i
$523$	19.7599	+	13.8360i	0.864041	+	0.605008i	0.919341	−	0.393462i	$-0.128723\pi$
$523$	19.7599	+	13.8360i	0.864041	+	0.605008i	−0.0552999	+	0.998470i	$0.517611\pi$
$524$	3.30578	+	1.90860i	0.144414	+	0.0833774i
$525$	1.98065	−	9.00156i	0.0864426	−	0.392860i
$526$	6.20420	+	7.39388i	0.270516	+	0.322389i
$527$	23.4780	+	10.9480i	1.02272	+	0.476902i
$528$	−6.09618	+	2.84270i	−0.265302	+	0.123712i
$529$	2.74974	−	3.27701i	0.119554	−	0.142479i
$530$	−9.48500	+	2.32893i	−0.412002	+	0.101162i
$531$		−	0.291651i		−	0.0126566i
$532$	−4.13563	−	1.37104i	−0.179302	−	0.0594423i
$533$	−22.0257	−	22.0257i	−0.954041	−	0.954041i
$534$	−2.88847	+	16.3813i	−0.124996	+	0.708889i
$535$	−13.8225	+	7.59754i	−0.597600	+	0.328470i
$536$	7.54453	+	2.74598i	0.325874	+	0.118608i
$537$	5.00653	−	10.7365i	0.216048	−	0.463316i
$538$	4.09774	+	0.358506i	0.176666	+	0.0154563i
$539$	17.0651	−	9.85252i	0.735044	−	0.424378i
$540$	−8.47737	+	6.81485i	−0.364808	+	0.293264i
$541$	−6.89000	−	39.0751i	−0.296224	−	1.67997i	−0.662185	−	0.749340i	$-0.730371\pi$
$541$	−6.89000	−	39.0751i	−0.296224	−	1.67997i	0.365961	−	0.930630i	$-0.380740\pi$
$542$	12.3301	−	17.6092i	0.529622	−	0.756378i
$543$	−17.2921	+	4.63341i	−0.742075	+	0.198838i
$544$	−11.3060	−	19.5826i	−0.484741	−	0.839596i
$545$	35.0082	+	17.2297i	1.49959	+	0.738039i
$546$	3.80944	+	10.4664i	0.163029	+	0.447919i
$547$	16.4384	+	35.2524i	0.702857	+	1.50728i	0.854836	+	0.518898i	$0.173658\pi$
$547$	16.4384	+	35.2524i	0.702857	+	1.50728i	−0.151979	+	0.988384i	$0.548565\pi$
$548$	0.398900	+	4.55945i	0.0170402	+	0.194770i
$549$	−1.46416	−	0.258171i	−0.0624888	−	0.0110185i
$550$	−16.8853	+	0.764014i	−0.719991	+	0.0325777i
$551$	−9.61341	+	4.82634i	−0.409545	+	0.205609i
$552$	−16.4332	+	16.4332i	−0.699444	+	0.699444i
$553$	−8.96538	−	12.8039i	−0.381247	−	0.544477i
$554$	1.90848	+	1.60141i	0.0810836	+	0.0680372i
$555$	−0.389457	−	5.87075i	−0.0165315	−	0.249200i
$556$	−6.85047	+	2.49337i	−0.290524	+	0.105742i
$557$	−1.59727	+	18.2569i	−0.0676787	+	0.773571i	0.884203	+	0.467104i	$0.154703\pi$
$557$	−1.59727	+	18.2569i	−0.0676787	+	0.773571i	−0.951881	+	0.306467i	$0.900853\pi$
$558$	0.251568	−	0.938866i	0.0106497	−	0.0397453i
$559$	14.5082	−	25.1289i	0.613631	−	1.06284i
$560$	−0.511143	+	2.58036i	−0.0215997	+	0.109040i
$561$	−27.0283	+	4.76582i	−1.14114	+	0.201213i
$562$	1.67328	+	6.24477i	0.0705831	+	0.263420i
$563$	−7.10090	−	1.90268i	−0.299267	−	0.0801884i	0.106061	−	0.994360i	$-0.466176\pi$
$563$	−7.10090	−	1.90268i	−0.299267	−	0.0801884i	−0.405328	+	0.914171i	$0.632843\pi$
$564$	−5.98679	+	5.02351i	−0.252089	+	0.211528i
$565$	28.3620	+	0.596398i	1.19320	+	0.0250907i
$566$	9.84022	−	27.0358i	0.413615	−	1.13640i
$567$	9.78012	−	0.855650i	0.410726	−	0.0359339i
$568$	13.6459	−	9.55497i	0.572570	−	0.400918i
$569$	10.8299			0.454011			0.227006	−	0.973893i	$-0.427106\pi$
$569$	10.8299			0.454011			0.227006	+	0.973893i	$0.427106\pi$
$570$	3.20299	+	17.3596i	0.134158	+	0.727114i
$571$	−13.9224			−0.582636			−0.291318	−	0.956626i	$-0.594094\pi$
$571$	−13.9224			−0.582636			−0.291318	+	0.956626i	$0.594094\pi$
$572$	−15.6188	+	10.9364i	−0.653057	+	0.457275i
$573$	−36.5245	+	3.19548i	−1.52583	+	0.133493i
$574$	−1.88801	+	5.18725i	−0.0788038	+	0.216512i
$575$	−19.9746	+	8.31082i	−0.832998	+	0.346585i
$576$	−0.947770	+	0.795273i	−0.0394904	+	0.0331364i
$577$	−33.8150	−	9.06070i	−1.40774	−	0.377202i	−0.526620	−	0.850101i	$-0.676541\pi$
$577$	−33.8150	−	9.06070i	−1.40774	−	0.377202i	−0.881117	+	0.472899i	$0.843208\pi$
$578$	1.18475	+	4.42155i	0.0492792	+	0.183912i
$579$	21.1690	−	3.73267i	0.879754	−	0.155124i
$580$	−2.96377	−	4.42801i	−0.123064	−	0.183863i
$581$	6.75333	−	11.6971i	0.280175	−	0.485278i
$582$	−0.916919	+	3.42199i	−0.0380075	+	0.141846i
$583$	−1.24410	+	14.2201i	−0.0515252	+	0.588935i
$584$	17.0605	−	6.20952i	0.705969	−	0.256952i
$585$	−1.49697	+	1.70969i	−0.0618920	+	0.0706871i
$586$	−12.4882	−	10.4788i	−0.515881	−	0.432876i
$587$	−8.83117	−	12.6122i	−0.364501	−	0.520562i	0.594450	−	0.804133i	$-0.297370\pi$
$587$	−8.83117	−	12.6122i	−0.364501	−	0.520562i	−0.958951	+	0.283571i	$0.908481\pi$
$588$	7.20813	−	7.20813i	0.297258	−	0.297258i
$589$	−17.7107	−	16.7139i	−0.729757	−	0.688684i
$590$	−1.40245	+	3.61485i	−0.0577378	+	0.148821i
$591$	20.6414	+	3.63964i	0.849076	+	0.149715i
$592$	0.146352	+	1.67281i	0.00601501	+	0.0687519i
$593$	−3.92485	−	8.41687i	−0.161174	−	0.345639i	0.809091	−	0.587683i	$-0.199960\pi$
$593$	−3.92485	−	8.41687i	−0.161174	−	0.345639i	−0.970265	+	0.242044i	$0.922182\pi$
$594$	−5.82452	−	16.0027i	−0.238983	−	0.656600i
$595$	−4.73949	+	9.62995i	−0.194300	+	0.394789i
$596$	9.16662	+	15.8770i	0.375479	+	0.650349i
$597$	−20.2775	+	5.43334i	−0.829902	+	0.222372i
$598$	14.9956	−	21.4160i	0.613217	−	0.875764i
$599$	2.34693	+	13.3101i	0.0958931	+	0.543837i	0.994470	+	0.105021i	$0.0334909\pi$
$599$	2.34693	+	13.3101i	0.0958931	+	0.543837i	−0.898577	+	0.438816i	$0.855398\pi$
$600$	−25.5995	+	8.11607i	−1.04510	+	0.331337i
$601$	−31.7256	+	18.3168i	−1.29411	+	0.747157i	−0.979381	−	0.202023i	$-0.935248\pi$
$601$	−31.7256	+	18.3168i	−1.29411	+	0.747157i	−0.314733	+	0.949180i	$0.601915\pi$
$602$	−5.12264	−	0.448173i	−0.208783	−	0.0182662i
$603$	0.192439	−	0.412687i	0.00783673	−	0.0168059i
$604$	13.2314	+	4.81582i	0.538377	+	0.195953i
$605$	−0.0298296	+	0.102643i	−0.00121275	+	0.00417304i
$606$	−5.69398	+	32.2921i	−0.231302	+	1.31178i
$607$	−4.36083	−	4.36083i	−0.177000	−	0.177000i	0.613046	−	0.790047i	$-0.289944\pi$
$607$	−4.36083	−	4.36083i	−0.177000	−	0.177000i	−0.790047	+	0.613046i	$0.789944\pi$
$608$	4.29549	+	20.8178i	0.174205	+	0.844275i
$609$			4.54909i			0.184339i
$610$	16.9060	+	10.2405i	0.684503	+	0.414626i
$611$	17.3564	−	20.6846i	0.702165	−	0.836807i
$612$	−0.694152	+	0.323688i	−0.0280594	+	0.0130843i
$613$	12.8836	+	6.00774i	0.520365	+	0.242650i	0.665011	−	0.746833i	$-0.268427\pi$
$613$	12.8836	+	6.00774i	0.520365	+	0.242650i	−0.144646	+	0.989483i	$0.546204\pi$
$614$	−3.83259	−	4.56751i	−0.154671	−	0.184330i
$615$	−20.6322	+	3.19232i	−0.831970	+	0.128727i
$616$	8.98747	+	5.18892i	0.362115	+	0.209067i
$617$	12.6847	+	8.88191i	0.510666	+	0.357572i	0.800333	−	0.599555i	$-0.204656\pi$
$617$	12.6847	+	8.88191i	0.510666	+	0.357572i	−0.289667	+	0.957127i	$0.593545\pi$
$618$	4.70146	+	3.29200i	0.189120	+	0.132423i
$619$	−12.5105	−	7.22296i	−0.502841	−	0.290315i	0.227045	−	0.973884i	$-0.427093\pi$
$619$	−12.5105	−	7.22296i	−0.502841	−	0.290315i	−0.729886	+	0.683569i	$0.760427\pi$
$620$	7.12501	−	9.73344i	0.286147	−	0.390904i
$621$	−14.0111	−	16.6977i	−0.562245	−	0.670057i
$622$	−18.7871	−	8.76058i	−0.753295	−	0.351267i
$623$	8.61663	−	4.01800i	0.345218	−	0.160978i
$624$	7.72791	−	9.20976i	0.309364	−	0.368686i
$625$	−24.9116	−	2.10002i	−0.996466	−	0.0840009i
$626$			25.6984i			1.02712i
$627$	25.5269	+	3.74281i	1.01945	+	0.149473i
$628$	12.1556	+	12.1556i	0.485062	+	0.485062i
$629$	−1.18975	+	6.74743i	−0.0474386	+	0.269038i
$630$	0.386715	+	0.112385i	0.0154071	+	0.00447753i
$631$	−19.4244	−	7.06989i	−0.773272	−	0.281448i	−0.0749077	−	0.997190i	$-0.523866\pi$
$631$	−19.4244	−	7.06989i	−0.773272	−	0.281448i	−0.698364	+	0.715742i	$0.746088\pi$
$632$	−19.2473	+	41.2761i	−0.765618	+	1.64187i
$633$	32.2470	+	2.82125i	1.28170	+	0.112135i
$634$	−0.847631	+	0.489380i	−0.0336637	+	0.0194358i
$635$	−8.72880	−	10.8582i	−0.346392	−	0.430896i
$636$	1.28230	+	7.27226i	0.0508464	+	0.288364i
$637$	−20.2014	+	28.8506i	−0.800408	+	1.14310i
$638$	8.05819	−	2.15918i	0.319027	−	0.0854829i
$639$	−0.472397	−	0.818215i	−0.0186877	−	0.0323681i
$640$	−5.07438	+	1.72700i	−0.200583	+	0.0682657i
$641$	−7.36027	−	20.2222i	−0.290713	−	0.798728i	−0.995963	−	0.0897685i	$-0.971387\pi$
$641$	−7.36027	−	20.2222i	−0.290713	−	0.798728i	0.705250	−	0.708959i	$-0.250835\pi$
$642$	−5.39911	−	11.5784i	−0.213086	−	0.456964i
$643$	3.16298	+	36.1531i	0.124736	+	1.42574i	0.758229	+	0.651989i	$0.226065\pi$
$643$	3.16298	+	36.1531i	0.124736	+	1.42574i	−0.633493	+	0.773749i	$0.718379\pi$
$644$	4.25929	+	0.751028i	0.167840	+	0.0295946i
$645$	−7.84680	−	17.7950i	−0.308967	−	0.700677i
$646$	1.19814	−	20.5215i	0.0471401	−	0.807409i
$647$	24.3073	−	24.3073i	0.955617	−	0.955617i	−0.0434389	−	0.999056i	$-0.513831\pi$
$647$	24.3073	−	24.3073i	0.955617	−	0.955617i	0.999056	+	0.0434389i	$0.0138314\pi$
$648$	−16.4073	−	23.4320i	−0.644539	−	0.920497i
$649$	4.34110	+	3.64262i	0.170403	+	0.142985i
$650$	26.7754	−	13.9923i	1.05022	−	0.548823i
$651$	−9.67740	+	3.52229i	−0.379287	+	0.138049i
$652$	0.742201	−	8.48340i	0.0290668	−	0.332236i
$653$	3.51379	−	13.1137i	0.137505	−	0.513177i	−0.862470	−	0.506109i	$-0.831083\pi$
$653$	3.51379	−	13.1137i	0.137505	−	0.513177i	0.999975	−	0.00706831i	$-0.00224993\pi$
$654$	−15.8016	+	27.3692i	−0.617893	+	1.07022i
$655$	−7.34597	+	4.91684i	−0.287031	+	0.192117i
$656$	5.86797	−	1.03468i	0.229106	−	0.0403975i
$657$	−0.266503	−	0.994601i	−0.0103973	−	0.0388031i
$658$	−4.62213	−	1.23850i	−0.180189	−	0.0482816i
$659$	3.60618	−	3.02595i	0.140477	−	0.117874i	−0.569841	−	0.821755i	$-0.692995\pi$
$659$	3.60618	−	3.02595i	0.140477	−	0.117874i	0.710318	+	0.703881i	$0.248551\pi$
$660$	−0.268674	+	12.7769i	−0.0104581	+	0.497340i
$661$	2.52249	−	6.93047i	0.0981133	−	0.269564i	−0.880920	−	0.473266i	$-0.843075\pi$
$661$	2.52249	−	6.93047i	0.0981133	−	0.269564i	0.979033	+	0.203702i	$0.0652973\pi$
$662$	−21.7940	+	1.90672i	−0.847046	+	0.0741069i
$663$	40.1832	−	28.1366i	1.56059	−	1.09273i
$664$	−39.3544			−1.52725
$665$	7.07767	−	7.19072i	0.274460	−	0.278844i
$666$	0.257075			0.00996147
$667$	8.74688	−	6.12463i	0.338681	−	0.237147i
$668$	−12.9615	+	1.13398i	−0.501495	+	0.0438752i
$669$	8.97549	−	24.6599i	0.347012	−	0.953409i
$670$	−4.36964	+	4.18966i	−0.168814	+	0.161861i
$671$	22.1296	−	18.5689i	0.854302	−	0.716844i
$672$	8.68301	+	2.32661i	0.334954	+	0.0897508i
$673$	11.1927	+	41.7718i	0.431447	+	1.61018i	0.749428	+	0.662086i	$0.230329\pi$
$673$	11.1927	+	41.7718i	0.431447	+	1.61018i	−0.317980	+	0.948097i	$0.603005\pi$
$674$	20.4615	−	3.60792i	0.788149	−	0.138972i
$675$	−5.49063	−	24.5824i	−0.211335	−	0.946177i
$676$	10.7635	−	18.6430i	0.413981	−	0.717037i
$677$	−2.66647	+	9.95140i	−0.102481	+	0.382464i	−0.998047	−	0.0624643i	$-0.980104\pi$
$677$	−2.66647	+	9.95140i	−0.102481	+	0.382464i	0.895566	+	0.444928i	$0.146771\pi$
$678$	−2.00258	+	22.8896i	−0.0769088	+	0.879072i
$679$	1.90276	−	0.692549i	0.0730214	−	0.0265776i
$680$	31.2044	−	2.07005i	1.19663	−	0.0793829i
$681$	16.3847	+	13.7484i	0.627862	+	0.526839i
$682$	10.8326	+	15.4706i	0.414802	+	0.592399i
$683$	5.96149	−	5.96149i	0.228110	−	0.228110i	−0.583793	−	0.811903i	$-0.698432\pi$
$683$	5.96149	−	5.96149i	0.228110	−	0.228110i	0.811903	+	0.583793i	$0.198432\pi$
$684$	0.715137	−	0.0834856i	0.0273440	−	0.00319215i
$685$	−9.88121	−	3.83359i	−0.377542	−	0.146474i
$686$	13.4046	+	2.36359i	0.511790	+	0.0902423i
$687$	1.25682	+	14.3655i	0.0479507	+	0.548079i
$688$	2.34575	+	5.03049i	0.0894311	+	0.191786i
$689$	−8.72614	−	23.9749i	−0.332439	−	0.913369i
$690$	−5.64574	−	16.5887i	−0.214930	−	0.631520i
$691$	21.0659	+	36.4871i	0.801383	+	1.38804i	0.918706	+	0.394942i	$0.129235\pi$
$691$	21.0659	+	36.4871i	0.801383	+	1.38804i	−0.117323	+	0.993094i	$0.537431\pi$
$692$	16.8289	−	4.50929i	0.639739	−	0.171418i
$693$	0.337596	−	0.482137i	0.0128242	−	0.0183149i
$694$	1.40511	+	7.96878i	0.0533373	+	0.302491i
$695$	1.82460	−	16.7831i	0.0692111	−	0.636619i
$696$	11.4789	−	6.62735i	0.435107	−	0.251209i
$697$	24.2196	+	2.11894i	0.917381	+	0.0802604i
$698$	10.9241	−	23.4268i	0.413483	−	0.886716i
$699$	9.47210	+	3.44756i	0.358268	+	0.130399i
$700$	3.96982	+	3.03618i	0.150045	+	0.114757i
$701$	0.0408208	−	0.231506i	0.00154178	−	0.00874388i	−0.984027	−	0.178018i	$-0.943031\pi$
$701$	0.0408208	−	0.231506i	0.00154178	−	0.00874388i	0.985569	+	0.169275i	$0.0541425\pi$
$702$	21.5232	+	21.5232i	0.812339	+	0.812339i
$703$	3.05758	−	5.66873i	0.115319	−	0.213800i
$704$		−	24.0398i		−	0.906034i
$705$	−4.31554	−	17.5759i	−0.162533	−	0.661946i
$706$	22.7083	−	27.0627i	0.854640	−	1.01852i
$707$	16.9858	−	7.92060i	0.638816	−	0.297885i
$708$	2.65694	+	1.23895i	0.0998540	+	0.0465627i
$709$	11.9444	+	14.2348i	0.448582	+	0.534599i	0.942187	−	0.335087i	$-0.108766\pi$
$709$	11.9444	+	14.2348i	0.448582	+	0.534599i	−0.493606	+	0.869686i	$0.664321\pi$
$710$	1.92059	+	12.4129i	0.0720785	+	0.465848i
$711$	2.23693	+	1.29149i	0.0838914	+	0.0484347i
$712$	−22.6919	−	15.8891i	−0.850416	−	0.595468i
$713$	19.8017	+	13.8653i	0.741578	+	0.519258i
$714$	−7.52864	−	4.34666i	−0.281752	−	0.162670i
$715$	−6.75145	−	43.6351i	−0.252490	−	1.63186i
$716$	4.12905	+	4.92081i	0.154310	+	0.183899i
$717$	−31.4378	−	14.6597i	−1.17407	−	0.547477i
$718$	−18.2345	+	8.50287i	−0.680504	+	0.317324i
$719$	−29.0872	+	34.6648i	−1.08477	+	1.29278i	−0.131284	+	0.991345i	$0.541910\pi$
$719$	−29.0872	+	34.6648i	−1.08477	+	1.29278i	−0.953487	+	0.301435i	$0.902534\pi$
$720$	−0.103655	−	0.422154i	−0.00386298	−	0.0157327i
$721$		−	3.28044i		−	0.122170i
$722$	−7.13961	+	17.9568i	−0.265709	+	0.668281i
$723$	16.4428	+	16.4428i	0.611514	+	0.611514i
$724$	1.68565	−	9.55981i	0.0626468	−	0.355287i
$725$	12.2309	−	1.62993i	0.454244	−	0.0605342i
$726$	−0.0813550	−	0.0296108i	−0.00301937	−	0.00109896i
$727$	6.75982	−	14.4965i	0.250708	−	0.537644i	−0.740168	−	0.672422i	$-0.765254\pi$
$727$	6.75982	−	14.4965i	0.250708	−	0.537644i	0.990876	+	0.134777i	$0.0430319\pi$
$728$	−18.4784	−	1.61665i	−0.684854	−	0.0599169i
$729$	21.9017	−	12.6449i	0.811173	−	0.468331i
$730$	−1.47953	+	13.6090i	−0.0547599	+	0.503693i
$731$	3.93269	+	22.3034i	0.145456	+	0.824921i
$732$	8.57177	−	12.2418i	0.316822	−	0.452468i
$733$	−27.9574	+	7.49116i	−1.03263	+	0.276692i	−0.735056	−	0.678007i	$-0.762844\pi$
$733$	−27.9574	+	7.49116i	−1.03263	+	0.276692i	−0.297574	+	0.954699i	$0.596177\pi$
$734$	7.93383	+	13.7418i	0.292843	+	0.507219i
$735$	7.60567	+	22.3474i	0.280539	+	0.824298i
$736$	−7.21676	−	19.8279i	−0.266013	−	0.730865i
$737$	3.73917	+	8.01868i	0.137734	+	0.295372i
$738$	−0.0795045	−	0.908741i	−0.00292660	−	0.0334512i
$739$	5.25433	+	0.926479i	0.193283	+	0.0340811i	0.269452	−	0.963014i	$-0.413158\pi$
$739$	5.25433	+	0.926479i	0.193283	+	0.0340811i	−0.0761683	+	0.997095i	$0.524269\pi$
$740$	2.97436	+	1.15396i	0.109340	+	0.0424203i
$741$	−44.1783	+	13.2193i	−1.62293	+	0.485625i
$742$	−3.19714	+	3.19714i	−0.117371	+	0.117371i
$743$	−16.2783	−	23.2478i	−0.597192	−	0.852878i	0.400804	−	0.916164i	$-0.368731\pi$
$743$	−16.2783	−	23.2478i	−0.597192	−	0.852878i	−0.997995	+	0.0632860i	$0.979842\pi$
$744$	22.9865	+	19.2879i	0.842725	+	0.707130i
$745$	−42.3618	+	2.81022i	−1.55202	+	0.102958i
$746$	0.300883	−	0.109512i	0.0110161	−	0.00400954i
$747$	−0.194531	+	2.22350i	−0.00711751	+	0.0813535i
$748$	3.85174	−	14.3749i	0.140834	−	0.525598i
$749$	−3.65097	+	6.32367i	−0.133404	+	0.231062i
$750$	3.03280	−	20.0205i	0.110742	−	0.731046i
$751$	8.16279	−	1.43932i	0.297864	−	0.0525215i	−0.0227188	−	0.999742i	$-0.507232\pi$
$751$	8.16279	−	1.43932i	0.297864	−	0.0525215i	0.320583	+	0.947220i	$0.396121\pi$
$752$	1.33684	+	4.98916i	0.0487495	+	0.181936i
$753$	33.8501	+	9.07011i	1.23357	+	0.330533i
$754$	−11.4225	+	9.58459i	−0.415982	+	0.349050i
$755$	−23.5361	+	22.5666i	−0.856566	+	0.821284i
$756$	−1.72221	+	4.73172i	−0.0626360	+	0.172091i
$757$	22.6599	−	1.98248i	0.823586	−	0.0720545i	0.332432	−	0.943127i	$-0.392131\pi$
$757$	22.6599	−	1.98248i	0.823586	−	0.0720545i	0.491154	+	0.871073i	$0.336575\pi$
$758$	14.3899	−	10.0759i	0.522663	−	0.365973i
$759$	−25.6105			−0.929603
$760$	−28.4557	−	7.38355i	−1.03220	−	0.267830i
$761$	1.84225			0.0667816			0.0333908	−	0.999442i	$-0.489369\pi$
$761$	1.84225			0.0667816			0.0333908	+	0.999442i	$0.489369\pi$
$762$	9.24340	−	6.47230i	0.334853	−	0.234467i
$763$	17.9945	−	1.57432i	0.651446	−	0.0569941i
$764$	6.79964	−	18.6818i	0.246002	−	0.675886i
$765$	0.0372882	−	1.77326i	0.00134816	−	0.0641123i
$766$	−12.2579	+	10.2856i	−0.442896	+	0.371634i
$767$	−9.78368	−	2.62153i	−0.353268	−	0.0946579i
$768$	−7.79054	−	29.0747i	−0.281117	−	1.04914i
$769$	−2.98864	+	0.526977i	−0.107773	+	0.0190033i	−0.227274	−	0.973831i	$-0.572981\pi$
$769$	−2.98864	+	0.526977i	−0.107773	+	0.0190033i	0.119502	+	0.992834i	$0.461870\pi$
$770$	−6.50273	+	4.35244i	−0.234342	+	0.156851i
$771$	6.03868	−	10.4593i	0.217478	−	0.376683i
$772$	−3.01675	+	11.2586i	−0.108575	+	0.405208i
$773$	2.36357	−	27.0157i	0.0850117	−	0.971688i	−0.827183	−	0.561932i	$-0.810058\pi$
$773$	2.36357	−	27.0157i	0.0850117	−	0.971688i	0.912195	−	0.409756i	$-0.134386\pi$
$774$	0.798508	−	0.290633i	0.0287018	−	0.0104466i
$775$	12.9376	+	24.7571i	0.464731	+	0.889300i
$776$	−4.51958	−	3.79238i	−0.162244	−	0.136138i
$777$	−1.56230	−	2.23120i	−0.0560473	−	0.0800439i
$778$	−5.42674	+	5.42674i	−0.194558	+	0.194558i
$779$	−20.9841	−	9.05516i	−0.751833	−	0.324435i
$780$	−9.21608	−	20.9002i	−0.329989	−	0.748349i
$781$	18.0788	+	3.18779i	0.646912	+	0.114068i
$782$	1.77847	+	20.3280i	0.0635978	+	0.726927i
$783$	5.25394	+	11.2671i	0.187760	+	0.402653i
$784$	−2.30427	−	6.33092i	−0.0822952	−	0.226104i
$785$	−37.6862	+	12.8260i	−1.34508	+	0.457780i
$786$	−3.57985	−	6.20048i	−0.127689	−	0.221164i
$787$	−1.05404	+	0.282429i	−0.0375725	+	0.0100675i	−0.277556	−	0.960709i	$-0.589525\pi$
$787$	−1.05404	+	0.282429i	−0.0375725	+	0.0100675i	0.239984	+	0.970777i	$0.422858\pi$
$788$	−6.51889	+	9.30994i	−0.232226	+	0.331653i
$789$	2.93458	+	16.6429i	0.104474	+	0.592501i
$790$	−21.5152	−	26.7639i	−0.765475	−	0.952217i
$791$	11.3734	−	6.56643i	0.404391	−	0.233475i
$792$	−1.70842	−	0.149468i	−0.0607061	−	0.00531110i
$793$	−21.8212	+	46.7958i	−0.774895	+	1.66177i
$794$	−25.3379	−	9.22224i	−0.899209	−	0.327285i
$795$	−16.4211	−	4.77220i	−0.582395	−	0.169253i
$796$	1.97667	−	11.2103i	0.0700612	−	0.397337i
$797$	−6.79346	−	6.79346i	−0.240637	−	0.240637i	0.576477	−	0.817114i	$-0.304427\pi$
$797$	−6.79346	−	6.79346i	−0.240637	−	0.240637i	−0.817114	+	0.576477i	$0.804427\pi$
$798$	5.43195	+	6.10556i	0.192289	+	0.216134i
$799$			21.0750i			0.745582i
$800$	3.14431	−	24.1791i	0.111168	−	0.854862i
$801$	−1.00989	+	1.20354i	−0.0356827	+	0.0425249i
$802$	−17.9454	+	8.36807i	−0.633673	+	0.295487i
$803$	18.1327	+	8.45543i	0.639890	+	0.298386i
$804$	2.94209	+	3.50624i	0.103759	+	0.123656i
$805$	−5.91589	+	8.08167i	−0.208508	+	0.284841i
$806$	−29.2338	−	16.8781i	−1.02972	−	0.594507i
$807$	5.89960	+	4.13095i	0.207676	+	0.145416i
$808$	−44.7321	−	31.3218i	−1.57367	−	1.10190i
$809$	1.83571	+	1.05985i	0.0645403	+	0.0372624i	0.531923	−	0.846793i	$-0.321470\pi$
$809$	1.83571	+	1.05985i	0.0645403	+	0.0372624i	−0.467383	+	0.884055i	$0.654803\pi$
$810$	21.3148	−	3.29793i	0.748925	−	0.115878i
$811$	10.6159	+	12.6516i	0.372776	+	0.444257i	0.919520	−	0.393043i	$-0.128577\pi$
$811$	10.6159	+	12.6516i	0.372776	+	0.444257i	−0.546744	+	0.837300i	$0.684133\pi$
$812$	−2.23560	−	1.04248i	−0.0784542	−	0.0365838i
$813$	34.1120	−	15.9067i	1.19636	−	0.557872i
$814$	−3.21078	+	3.82645i	−0.112538	+	0.134117i
$815$	16.8673	+	10.2170i	0.590834	+	0.357887i
$816$			9.38363i			0.328493i
$817$	3.08852	−	21.0645i	0.108054	−	0.736953i
$818$	−16.2547	−	16.2547i	−0.568332	−	0.568332i
$819$	−0.182679	+	1.03602i	−0.00638332	+	0.0362016i
$820$	3.15928	−	10.8710i	0.110327	−	0.379632i
$821$	24.4970	+	8.91618i	0.854952	+	0.311177i	0.732057	−	0.681243i	$-0.238560\pi$
$821$	24.4970	+	8.91618i	0.854952	+	0.311177i	0.122894	+	0.992420i	$0.460782\pi$
$822$	3.62800	−	7.78027i	0.126541	−	0.271368i
$823$	−27.9303	−	2.44359i	−0.973590	−	0.0851781i	−0.410754	−	0.911746i	$-0.634734\pi$
$823$	−27.9303	−	2.44359i	−0.973590	−	0.0851781i	−0.562836	+	0.826568i	$0.690290\pi$
$824$	−8.27767	+	4.77912i	−0.288366	+	0.166488i
$825$	−26.2722	−	13.6236i	−0.914681	−	0.474314i
$826$	0.311698	+	1.76773i	0.0108454	+	0.0615072i
$827$	−18.7963	+	26.8439i	−0.653611	+	0.933453i	−0.999989	−	0.00464158i	$-0.998523\pi$
$827$	−18.7963	+	26.8439i	−0.653611	+	0.933453i	0.346378	+	0.938095i	$0.387411\pi$
$828$	−0.690357	+	0.184981i	−0.0239916	+	0.00642852i
$829$	19.3540	+	33.5221i	0.672193	+	1.16427i	0.977281	+	0.211948i	$0.0679806\pi$
$829$	19.3540	+	33.5221i	0.672193	+	1.16427i	−0.305088	+	0.952324i	$0.598686\pi$
$830$	13.1031	−	26.6236i	0.454815	−	0.924118i
$831$	1.49191	+	4.09899i	0.0517538	+	0.142193i
$832$	18.1590	+	38.9421i	0.629550	+	1.35007i
$833$	−2.39586	−	27.3848i	−0.0830118	−	0.948829i
$834$	13.4659	+	2.37441i	0.466288	+	0.0822191i
$835$	10.8980	−	28.0901i	0.377142	−	0.972097i
$836$	−7.68915	+	11.6872i	−0.265935	+	0.404211i
$837$	−19.9008	+	19.9008i	−0.687871	+	0.687871i
$838$	14.9887	+	21.4061i	0.517776	+	0.739461i
$839$	4.94894	+	4.15265i	0.170856	+	0.143366i	0.724206	−	0.689583i	$-0.242206\pi$
$839$	4.94894	+	4.15265i	0.170856	+	0.143366i	−0.553350	+	0.832949i	$0.686651\pi$
$840$	−8.18987	+	9.35369i	−0.282577	+	0.322733i
$841$	21.5283	−	7.83566i	0.742355	−	0.270195i
$842$	1.27585	−	14.5831i	0.0439688	−	0.502566i
$843$	−2.92972	+	10.9339i	−0.100905	+	0.376583i
$844$	−8.77625	+	15.2009i	−0.302091	+	0.523237i
$845$	27.7285	+	41.4276i	0.953889	+	1.42515i
$846$	0.778742	−	0.137313i	0.0267737	−	0.00472093i
$847$	0.0128073	+	0.0477976i	0.000440065	+	0.00164235i
$848$	4.71417	+	1.26316i	0.161885	+	0.0433770i
$849$	38.5891	−	32.3801i	1.32437	−	1.11128i
$850$	−8.98913	+	21.7992i	−0.308325	+	0.747708i
$851$	−2.18670	+	6.00791i	−0.0749592	+	0.205949i
$852$	9.46071	−	0.827705i	0.324119	−	0.0283567i
$853$	−20.0225	+	14.0199i	−0.685557	+	0.480032i	−0.863722	−	0.503968i	$-0.831873\pi$
$853$	−20.0225	+	14.0199i	−0.685557	+	0.480032i	0.178165	+	0.984001i	$0.442984\pi$
$854$	9.15034			0.313118
$855$	−0.557824	+	1.57123i	−0.0190772	+	0.0537350i
$856$	21.2757			0.727188
$857$	−12.9566	+	9.07230i	−0.442588	+	0.309904i	−0.773544	−	0.633743i	$-0.781518\pi$
$857$	−12.9566	+	9.07230i	−0.442588	+	0.309904i	0.330956	+	0.943646i	$0.392629\pi$
$858$	35.6271	−	3.11696i	1.21629	−	0.106411i
$859$	2.42346	−	6.65842i	0.0826876	−	0.227182i	−0.891458	−	0.453103i	$-0.850317\pi$
$859$	2.42346	−	6.65842i	0.0826876	−	0.227182i	0.974146	+	0.225921i	$0.0725391\pi$
$860$	10.5433	+	0.221706i	0.359525	+	0.00756011i
$861$	−7.40394	+	6.21265i	−0.252326	+	0.211726i
$862$	14.1889	+	3.80189i	0.483275	+	0.129493i
$863$	5.68135	+	21.2031i	0.193395	+	0.721761i	0.992676	+	0.120804i	$0.0385472\pi$
$863$	5.68135	+	21.2031i	0.193395	+	0.721761i	−0.799281	+	0.600957i	$0.794786\pi$
$864$	24.1930	−	4.26588i	0.823062	−	0.145128i
$865$	−7.83980	+	39.5770i	−0.266561	+	1.34566i
$866$	−18.4672	+	31.9862i	−0.627541	+	1.08693i
$867$	−2.07436	+	7.74163i	−0.0704491	+	0.262919i
$868$	0.486702	−	5.56302i	0.0165197	−	0.188821i
$869$	−47.1617	+	17.1655i	−1.59985	+	0.582298i
$870$	0.661539	+	9.97217i	0.0224283	+	0.338088i
$871$	−12.1142	−	10.1650i	−0.410473	−	0.344428i
$872$	−30.1879	−	43.1128i	−1.02229	−	1.45998i
$873$	−0.236607	+	0.236607i	−0.00800795	+	0.00800795i
$874$	4.42636	−	18.6646i	0.149724	−	0.631339i
$875$	−10.3678	+	5.14349i	−0.350496	+	0.173882i
$876$	10.1929	+	1.79729i	0.344387	+	0.0607248i
$877$	−0.0144842	−	0.165555i	−0.000489095	−	0.00559039i	0.995946	−	0.0899506i	$-0.0286709\pi$
$877$	−0.0144842	−	0.165555i	−0.000489095	−	0.00559039i	−0.996435	+	0.0843602i	$0.973115\pi$
$878$	2.82616	+	6.06071i	0.0953782	+	0.204539i
$879$	−9.76234	−	26.8218i	−0.329275	−	0.904677i
$880$	7.57818	+	3.72969i	0.255460	+	0.125728i
$881$	−21.2443	−	36.7961i	−0.715738	−	1.23969i	−0.962674	−	0.270662i	$-0.912757\pi$
$881$	−21.2443	−	36.7961i	−0.715738	−	1.23969i	0.246937	−	0.969032i	$-0.420576\pi$
$882$	−0.996285	+	0.266954i	−0.0335467	+	0.00898880i
$883$	0.856409	−	1.22308i	0.0288205	−	0.0411599i	−0.804483	−	0.593975i	$-0.797558\pi$
$883$	0.856409	−	1.22308i	0.0288205	−	0.0411599i	0.833304	+	0.552815i	$0.186447\pi$
$884$	4.61895	+	26.1954i	0.155352	+	0.881046i
$885$	−5.29114	+	4.25348i	−0.177860	+	0.142979i
$886$	−12.5133	+	7.22457i	−0.420393	+	0.242714i
$887$	−20.9370	−	1.83175i	−0.702994	−	0.0615040i	−0.269947	−	0.962875i	$-0.587006\pi$
$887$	−20.9370	−	1.83175i	−0.702994	−	0.0615040i	−0.433047	+	0.901371i	$0.642562\pi$
$888$	−3.35403	+	7.19275i	−0.112554	+	0.241373i
$889$	−6.06063	−	2.20589i	−0.203267	−	0.0739831i
$890$	18.3044	−	10.0610i	0.613565	−	0.337245i
$891$	5.47389	−	31.0440i	0.183382	−	1.04001i
$892$	10.0620	+	10.0620i	0.336901	+	0.336901i
$893$	6.23426	−	18.8051i	0.208622	−	0.629288i
$894$		−	34.3867i		−	1.15006i
$895$	−14.4464	+	3.54713i	−0.482890	+	0.118568i
$896$	−1.59506	+	1.90092i	−0.0532871	+	0.0635051i
$897$	41.4865	−	19.3455i	1.38519	−	0.645926i
$898$	15.7976	+	7.36653i	0.527172	+	0.245824i
$899$	−8.86211	−	10.5615i	−0.295568	−	0.352244i
$900$	−0.806595	−	0.177478i	−0.0268865	−	0.00591595i
$901$	17.2456	+	9.95673i	0.574533	+	0.331707i
$902$	14.5192	+	10.1664i	0.483436	+	0.338506i
$903$	−7.37516	−	5.16414i	−0.245430	−	0.171852i
$904$	−33.1387	−	19.1326i	−1.10218	−	0.636342i
$905$	18.1390	+	13.2780i	0.602960	+	0.441375i
$906$	−16.9761	−	20.2313i	−0.563993	−	0.672140i
$907$	−38.6853	−	18.0393i	−1.28452	−	0.598984i	−0.344083	−	0.938939i	$-0.611810\pi$
$907$	−38.6853	−	18.0393i	−1.28452	−	0.598984i	−0.940441	+	0.339956i	$0.889588\pi$
$908$	−10.5112	+	4.90147i	−0.348827	+	0.162661i
$909$	−1.99077	+	2.37251i	−0.0660297	+	0.0786912i
$910$	7.24607	−	11.9625i	0.240205	−	0.396553i
$911$			6.44546i			0.213548i	0.994283	+	0.106774i	$0.0340521\pi$
$911$			6.44546i			0.213548i	−0.994283	+	0.106774i	$0.965948\pi$
$912$	2.77580	−	8.37294i	0.0919158	−	0.277256i
$913$	−30.6662	−	30.6662i	−1.01490	−	1.01490i
$914$	4.36609	−	24.7613i	0.144417	−	0.819032i
$915$	16.6698	+	30.3280i	0.551085	+	1.00261i
$916$	−7.34780	−	2.67438i	−0.242778	−	0.0883640i
$917$	−1.72945	+	3.70882i	−0.0571114	+	0.122476i
$918$	−23.6669	−	2.07059i	−0.781125	−	0.0683396i
$919$	22.3489	−	12.9031i	0.737222	−	0.425635i	−0.0838367	−	0.996480i	$-0.526717\pi$
$919$	22.3489	−	12.9031i	0.737222	−	0.425635i	0.821058	+	0.570844i	$0.193384\pi$
$920$	29.0114	+	3.15402i	0.956477	+	0.103985i
$921$	−1.81281	−	10.2810i	−0.0597342	−	0.338770i
$922$	−3.14222	+	4.48756i	−0.103484	+	0.147790i
$923$	−31.6939	+	8.49235i	−1.04322	+	0.279529i
$924$	2.95814	+	5.12364i	0.0973155	+	0.168555i
$925$	−5.43913	+	4.99991i	−0.178838	+	0.164396i
$926$	3.18811	+	8.75925i	0.104768	+	0.287847i
$927$	0.229100	+	0.491306i	0.00752463	+	0.0161366i
$928$	1.04886	+	11.9886i	0.0344306	+	0.393544i
$929$	35.4189	+	6.24532i	1.16206	+	0.204902i	0.721234	−	0.692692i	$-0.243575\pi$
$929$	35.4189	+	6.24532i	1.16206	+	0.204902i	0.440824	+	0.897594i	$0.354686\pi$
$930$	−20.7018	+	9.12859i	−0.678840	+	0.299338i
$931$	−5.96297	+	25.1440i	−0.195428	+	0.824061i
$932$	−3.86491	+	3.86491i	−0.126599	+	0.126599i
$933$	−20.8177	−	29.7308i	−0.681542	−	0.973342i
$934$	−9.01849	−	7.56741i	−0.295094	−	0.247613i
$935$	25.9284	+	22.7023i	0.847951	+	0.742446i
$936$	2.88038	−	1.04837i	0.0941480	−	0.0342671i
$937$	2.44419	−	27.9372i	0.0798483	−	0.912670i	−0.845605	−	0.533809i	$-0.820760\pi$
$937$	2.44419	−	27.9372i	0.0798483	−	0.912670i	0.925454	−	0.378861i	$-0.123684\pi$
$938$	−0.725341	+	2.70701i	−0.0236832	+	0.0883870i
$939$	−22.4975	+	38.9668i	−0.734178	+	1.27163i
$940$	9.62642	+	1.90689i	0.313979	+	0.0621960i
$941$	5.37412	−	0.947603i	0.175191	−	0.0308910i	−0.0853642	−	0.996350i	$-0.527205\pi$
$941$	5.37412	−	0.947603i	0.175191	−	0.0308910i	0.260556	+	0.965459i	$0.416094\pi$
$942$	−8.34525	−	31.1449i	−0.271903	−	1.01476i
$943$	21.9138	+	5.87177i	0.713610	+	0.191211i
$944$	1.48424	−	1.24542i	0.0483078	−	0.0405351i
$945$	−8.07015	−	8.41684i	−0.262522	−	0.273800i
$946$	−5.64712	+	15.5153i	−0.183604	+	0.504447i
$947$	15.0671	−	1.31820i	0.489614	−	0.0428357i	0.160324	−	0.987064i	$-0.448746\pi$
$947$	15.0671	−	1.31820i	0.489614	−	0.0428357i	0.329290	+	0.944229i	$0.393191\pi$
$948$	−21.2681	+	14.8921i	−0.690756	+	0.483672i
$949$	−35.7602			−1.16082
$950$	14.4694	−	16.7922i	0.469450	−	0.544810i
$951$	−1.71370			−0.0555704
$952$	11.8593	−	8.30399i	0.384363	−	0.269134i
$953$	15.6636	−	1.37038i	0.507393	−	0.0443911i	0.169414	−	0.985545i	$-0.445812\pi$
$953$	15.6636	−	1.37038i	0.507393	−	0.0443911i	0.337979	+	0.941154i	$0.390257\pi$
$954$	0.255548	−	0.702112i	0.00827367	−	0.0227317i
$955$	31.8627	+	33.2315i	1.03105	+	1.07535i
$956$	14.4087	−	12.0903i	0.466011	−	0.391029i
$957$	14.1090	+	3.78048i	0.456078	+	0.122206i
$958$	7.45683	+	27.8293i	0.240919	+	0.899123i
$959$	−4.83209	+	0.852028i	−0.156036	+	0.0275134i
$960$	28.2503	+	5.59608i	0.911773	+	0.180613i
$961$	0.105863	−	0.183361i	0.00341495	−	0.00591486i
$962$	2.31074	−	8.62380i	0.0745013	−	0.278043i
$963$	0.105167	−	1.20206i	0.00338895	−	0.0387359i
$964$	−11.8487	+	4.31257i	−0.381620	+	0.138898i
$965$	−20.3076	−	17.7808i	−0.653724	−	0.572386i
$966$	−6.21428	−	5.21440i	−0.199941	−	0.167771i
$967$	14.0060	+	20.0027i	0.450403	+	0.643242i	0.978574	−	0.205896i	$-0.0660109\pi$
$967$	14.0060	+	20.0027i	0.450403	+	0.643242i	−0.528171	+	0.849138i	$0.677122\pi$
$968$	0.101951	−	0.101951i	0.00327684	−	0.00327684i
$969$	19.7822	−	30.0681i	0.635495	−	0.965927i
$970$	4.07038	−	1.79486i	0.130692	−	0.0576294i
$971$	−48.4184	−	8.53746i	−1.55382	−	0.273980i	−0.670198	−	0.742183i	$-0.733791\pi$
$971$	−48.4184	−	8.53746i	−1.55382	−	0.273980i	−0.883621	+	0.468202i	$0.844902\pi$
$972$	−0.149431	−	1.70800i	−0.00479299	−	0.0547841i
$973$	−3.30292	−	7.08314i	−0.105887	−	0.227075i
$974$	6.47441	+	17.7883i	0.207453	+	0.569974i
$975$	52.8493	+	2.22362i	1.69253	+	0.0712129i
$976$	−4.93847	−	8.55368i	−0.158077	−	0.273797i
$977$	−9.05702	+	2.42682i	−0.289760	+	0.0776409i	−0.400771	−	0.916178i	$-0.631258\pi$
$977$	−9.05702	+	2.42682i	−0.289760	+	0.0776409i	0.111011	+	0.993819i	$0.464591\pi$
$978$	−9.16153	+	13.0840i	−0.292954	+	0.418381i
$979$	−5.30101	−	30.0635i	−0.169421	−	0.960833i
$980$	−12.7253	−	1.38346i	−0.406495	−	0.0441929i
$981$	−2.58506	+	1.49249i	−0.0825347	+	0.0476515i
$982$	6.03491	+	0.527986i	0.192582	+	0.0168487i
$983$	5.06992	−	10.8725i	0.161705	−	0.346778i	−0.808715	−	0.588201i	$-0.799836\pi$
$983$	5.06992	−	10.8725i	0.161705	−	0.346778i	0.970420	+	0.241423i	$0.0776142\pi$
$984$	26.4631	+	9.63177i	0.843612	+	0.307050i
$985$	−12.6775	−	23.0646i	−0.403937	−	0.734901i
$986$	2.02094	−	11.4613i	0.0643597	−	0.365002i
$987$	−5.92435	−	5.92435i	−0.188574	−	0.188574i
$988$	3.62747	−	24.7403i	0.115405	−	0.787093i
$989$			21.1335i			0.672005i
$990$	0.669937	−	1.10600i	0.0212920	−	0.0351509i
$991$	−14.1040	+	16.8085i	−0.448030	+	0.533941i	−0.942034	−	0.335519i	$-0.891088\pi$
$991$	−14.1040	+	16.8085i	−0.448030	+	0.533941i	0.494004	+	0.869460i	$0.335533\pi$
$992$	−24.6915	+	11.5138i	−0.783955	+	0.365564i
$993$	−34.7156	−	16.1882i	−1.10167	−	0.513716i
$994$	3.73771	+	4.45442i	0.118553	+	0.141286i
$995$	21.2706	+	15.5704i	0.674323	+	0.493614i
$996$	−19.4297	−	11.2177i	−0.615653	−	0.355447i
$997$	0.824264	+	0.577156i	0.0261047	+	0.0182787i	0.586556	−	0.809909i	$-0.300483\pi$
$997$	0.824264	+	0.577156i	0.0261047	+	0.0182787i	−0.560451	+	0.828187i	$0.689372\pi$
$998$	7.36613	+	5.15782i	0.233171	+	0.163268i
$999$	−6.44638	−	3.72182i	−0.203955	−	0.117753i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.r.a.78.7	yes	96
3.2	odd	2		855.2.dl.a.838.2		96
5.2	odd	4	inner	95.2.r.a.2.7	✓	96
5.3	odd	4		475.2.bb.b.382.2		96
5.4	even	2		475.2.bb.b.268.2		96
15.2	even	4		855.2.dl.a.667.2		96
19.10	odd	18	inner	95.2.r.a.48.7	yes	96
57.29	even	18		855.2.dl.a.523.2		96
95.29	odd	18		475.2.bb.b.143.2		96
95.48	even	36		475.2.bb.b.257.2		96
95.67	even	36	inner	95.2.r.a.67.7	yes	96
285.257	odd	36		855.2.dl.a.352.2		96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.r.a.2.7	✓	96	5.2	odd	4	inner
95.2.r.a.48.7	yes	96	19.10	odd	18	inner
95.2.r.a.67.7	yes	96	95.67	even	36	inner
95.2.r.a.78.7	yes	96	1.1	even	1	trivial
475.2.bb.b.143.2		96	95.29	odd	18
475.2.bb.b.257.2		96	95.48	even	36
475.2.bb.b.268.2		96	5.4	even	2
475.2.bb.b.382.2		96	5.3	odd	4
855.2.dl.a.352.2		96	285.257	odd	36
855.2.dl.a.523.2		96	57.29	even	18
855.2.dl.a.667.2		96	15.2	even	4
855.2.dl.a.838.2		96	3.2	odd	2

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:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	95.r (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.833123 - 0.583359i) q^{2} +(1.77397 - 0.155202i) q^{3} +(-0.330254 + 0.907365i) q^{4} +(-1.54755 - 1.61403i) q^{5} +(1.38740 - 1.16417i) q^{6} +(-0.999898 - 0.267922i) q^{7} +(0.780644 + 2.91340i) q^{8} +(0.168464 - 0.0297048i) q^{9} +O(q^{10})\)	\(q+(0.833123 - 0.583359i) q^{2} +(1.77397 - 0.155202i) q^{3} +(-0.330254 + 0.907365i) q^{4} +(-1.54755 - 1.61403i) q^{5} +(1.38740 - 1.16417i) q^{6} +(-0.999898 - 0.267922i) q^{7} +(0.780644 + 2.91340i) q^{8} +(0.168464 - 0.0297048i) q^{9} +(-2.23086 - 0.441910i) q^{10} +(-1.66191 + 2.87852i) q^{11} +(-0.445036 + 1.66090i) q^{12} +(0.517781 - 5.91827i) q^{13} +(-0.989333 + 0.360088i) q^{14} +(-2.99581 - 2.62306i) q^{15} +(0.870554 + 0.730481i) q^{16} +(2.65961 + 3.79832i) q^{17} +(0.123023 - 0.123023i) q^{18} +(-1.24956 - 4.17596i) q^{19} +(1.97560 - 0.871151i) q^{20} +(-1.81537 - 0.320099i) q^{21} +(0.294631 + 3.36765i) q^{22} +(1.82863 + 3.92151i) q^{23} +(1.83701 + 5.04714i) q^{24} +(-0.210188 + 4.99558i) q^{25} +(-3.02110 - 5.23270i) q^{26} +(-4.86597 + 1.30383i) q^{27} +(0.573323 - 0.818790i) q^{28} +(-0.428530 - 2.43031i) q^{29} +(-4.02606 - 0.437701i) q^{30} +(4.83826 - 2.79337i) q^{31} +(-4.85799 - 0.425019i) q^{32} +(-2.50143 + 5.36434i) q^{33} +(4.43157 + 1.61296i) q^{34} +(1.11496 + 2.02849i) q^{35} +(-0.0286828 + 0.162668i) q^{36} +(1.04483 + 1.04483i) q^{37} +(-3.47712 - 2.75014i) q^{38} -10.5792i q^{39} +(3.49424 - 5.76862i) q^{40} +(3.37025 - 4.01651i) q^{41} +(-1.69916 + 0.792332i) q^{42} +(4.42658 + 2.06415i) q^{43} +(-2.06301 - 2.45860i) q^{44} +(-0.308651 - 0.225937i) q^{45} +(3.81113 + 2.20036i) q^{46} +(3.72311 + 2.60695i) q^{47} +(1.65771 + 1.16074i) q^{48} +(-5.13416 - 2.96421i) q^{49} +(2.73911 + 4.28455i) q^{50} +(5.30758 + 6.32533i) q^{51} +(5.19903 + 2.42435i) q^{52} +(3.89220 - 1.81496i) q^{53} +(-3.29335 + 3.92486i) q^{54} +(7.21790 - 1.77227i) q^{55} -3.12226i q^{56} +(-2.86480 - 7.21409i) q^{57} +(-1.77476 - 1.77476i) q^{58} +(0.296059 - 1.67903i) q^{59} +(3.36945 - 1.85201i) q^{60} +(-8.16707 - 2.97257i) q^{61} +(2.40133 - 5.14967i) q^{62} +(-0.176405 - 0.0154335i) q^{63} +(-6.26359 + 3.61629i) q^{64} +(-10.3536 + 8.32309i) q^{65} +(1.04533 + 5.92839i) q^{66} +(1.52679 - 2.18049i) q^{67} +(-4.32481 + 1.15883i) q^{68} +(3.85257 + 6.67285i) q^{69} +(2.11223 + 1.03956i) q^{70} +(-1.88900 - 5.18999i) q^{71} +(0.218053 + 0.467615i) q^{72} +(-0.524621 - 5.99644i) q^{73} +(1.47998 + 0.260961i) q^{74} +(0.402459 + 8.89464i) q^{75} +(4.20179 + 0.245319i) q^{76} +(2.43296 - 2.43296i) q^{77} +(-6.17148 - 8.81378i) q^{78} +(11.5670 + 9.70584i) q^{79} +(-0.168205 - 2.53556i) q^{80} +(-8.91198 + 3.24369i) q^{81} +(0.464768 - 5.31232i) q^{82} +(-3.37701 + 12.6032i) q^{83} +(0.889980 - 1.54149i) q^{84} +(2.01472 - 10.1708i) q^{85} +(4.89203 - 0.862597i) q^{86} +(-1.13739 - 4.24480i) q^{87} +(-9.68364 - 2.59472i) q^{88} +(-7.03565 + 5.90361i) q^{89} +(-0.388946 - 0.00817880i) q^{90} +(-2.10336 + 5.77894i) q^{91} +(-4.16216 + 0.364141i) q^{92} +(8.14940 - 5.70627i) q^{93} +4.62260 q^{94} +(-4.80637 + 8.47932i) q^{95} -8.68390 q^{96} +(-1.60233 + 1.12196i) q^{97} +(-6.00659 + 0.525509i) q^{98} +(-0.194467 + 0.534293i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8}+O(q^{10}) \) 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8	\( 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8} - 12 q^{10} - 12 q^{11} - 18 q^{12} - 12 q^{13} + 6 q^{15} + 12 q^{16} - 30 q^{17} - 84 q^{20} + 24 q^{21} - 24 q^{22} + 12 q^{25} - 48 q^{26} - 18 q^{27} - 6 q^{30} - 36 q^{31} + 18 q^{32} + 90 q^{33} - 30 q^{35} + 24 q^{36} + 54 q^{38} + 54 q^{40} + 12 q^{41} + 24 q^{42} + 48 q^{43} + 12 q^{45} - 36 q^{46} - 24 q^{47} + 60 q^{48} + 126 q^{50} - 96 q^{51} - 30 q^{53} + 18 q^{55} - 66 q^{57} + 120 q^{58} + 84 q^{60} - 48 q^{61} + 60 q^{62} - 126 q^{63} + 72 q^{65} + 72 q^{66} + 108 q^{67} + 18 q^{68} + 36 q^{70} - 24 q^{71} + 48 q^{72} + 6 q^{73} + 60 q^{76} + 168 q^{77} - 138 q^{78} - 60 q^{80} - 120 q^{81} + 60 q^{82} - 36 q^{85} - 180 q^{86} - 6 q^{87} - 198 q^{88} - 270 q^{90} - 24 q^{91} - 72 q^{92} - 90 q^{93} - 24 q^{95} - 192 q^{96} - 72 q^{97} - 90 q^{98}+O(q^{100}) \) 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8 - 12 * q^10 - 12 * q^11 - 18 * q^12 - 12 * q^13 + 6 * q^15 + 12 * q^16 - 30 * q^17 - 84 * q^20 + 24 * q^21 - 24 * q^22 + 12 * q^25 - 48 * q^26 - 18 * q^27 - 6 * q^30 - 36 * q^31 + 18 * q^32 + 90 * q^33 - 30 * q^35 + 24 * q^36 + 54 * q^38 + 54 * q^40 + 12 * q^41 + 24 * q^42 + 48 * q^43 + 12 * q^45 - 36 * q^46 - 24 * q^47 + 60 * q^48 + 126 * q^50 - 96 * q^51 - 30 * q^53 + 18 * q^55 - 66 * q^57 + 120 * q^58 + 84 * q^60 - 48 * q^61 + 60 * q^62 - 126 * q^63 + 72 * q^65 + 72 * q^66 + 108 * q^67 + 18 * q^68 + 36 * q^70 - 24 * q^71 + 48 * q^72 + 6 * q^73 + 60 * q^76 + 168 * q^77 - 138 * q^78 - 60 * q^80 - 120 * q^81 + 60 * q^82 - 36 * q^85 - 180 * q^86 - 6 * q^87 - 198 * q^88 - 270 * q^90 - 24 * q^91 - 72 * q^92 - 90 * q^93 - 24 * q^95 - 192 * q^96 - 72 * q^97 - 90 * q^98

Introduction

L-functions

Modular forms

Varieties

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